(*^ ::[ Information = "This is a Mathematica Notebook file. It contains ASCII text, and can be transferred by email, ftp, or other text-file transfer utility. It should be read or edited using a copy of Mathematica or MathReader. If you received this as email, use your mail application or copy/paste to save everything from the line containing (*^ down to the line containing ^*) into a plain text file. On some systems you may have to give the file a name ending with ".ma" to allow Mathematica to recognize it as a Notebook. The line below identifies what version of Mathematica created this file, but it can be opened using any other version as well."; FrontEndVersion = "Macintosh Mathematica Notebook Front End Version 2.2"; MacintoshStandardFontEncoding; fontset = title, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, L2, e8, 24, "Chicago"; fontset = subtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, L2, e6, 18, "New York"; fontset = subsubtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, L2, e6, 14, "New York"; fontset = section, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, grayBox, M22, bold, L2, a20, 14, "New York"; fontset = subsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, blackBox, M19, bold, L2, a15, 12, "New York"; fontset = subsubsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, whiteBox, M18, bold, L2, a12, 10, "New York"; fontset = text, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L2, 12, "Geneva"; fontset = smalltext, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L2, 10, "Geneva"; fontset = input, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeInput, M42, N23, bold, L2, 12, "Courier"; fontset = output, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L2, 12, "Courier"; fontset = message, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, R65535, L2, 12, "Courier"; fontset = print, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L2, 12, "Courier"; fontset = info, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L2, 12, "Courier"; fontset = postscript, PostScript, formatAsPostScript, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeGraphics, M7, l34, w282, h287, L2, 12, "Courier"; fontset = name, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, italic, B65535, L2, 10, "Geneva"; fontset = header, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L2, 10, "New York"; fontset = leftheader, inactive, nohscroll, L2, 10, "New York"; fontset = footer, inactive, nohscroll, noKeepOnOnePage, preserveAspect, center, M7, L2, 12, "New York"; fontset = leftfooter, inactive, nohscroll, center, L2, 12, "New York"; fontset = help, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L2, 10, "Geneva"; fontset = clipboard, inactive, noKeepOnOnePage, preserveAspect, M7, L2, 12, "New York"; fontset = completions, inactive, noKeepOnOnePage, preserveAspect, M7, L2, 12, "New York"; fontset = special1, inactive, noKeepOnOnePage, preserveAspect, M7, L2, 12, "New York"; fontset = special2, inactive, noKeepOnOnePage, preserveAspect, center, M7, L2, 12, "New York"; fontset = special3, inactive, noKeepOnOnePage, preserveAspect, right, M7, L2, 12, "New York"; fontset = special4, inactive, noKeepOnOnePage, preserveAspect, M7, L2, 12, "New York"; fontset = special5, inactive, noKeepOnOnePage, preserveAspect, M7, L2, 12, "New York"; paletteColors = 128; currentKernel; ] :[font = title; inactive; dontPreserveAspect] Lyon's Cochlear Model :[font = subsubtitle; inactive; dontPreserveAspect] Malcolm Slaney Advanced Technology Group Apple Technical Report #13 Copyright © 1988 Apple Computer, Inc malcolm@apple.com ;[s] 2:0,1;123,0;124,-1; 2:1,19,14,Chicago,1,14,0,0,0;1,19,14,Chicago,0,14,0,0,0; :[font = input; PICT; formatAsPICT; output; inactive; dontPreserveAspect; pictureLeft = 17; pictureTop = 89; pictureWidth = 421; pictureHeight = 270; pictureID = 5650] :[font = smalltext; inactive; dontPreserveAspect] From Tissues and Organs: A Text-Atlas of Scanning Electron Microscopy, by Richard Kessel and Randy H. Kardon, Copyright © 1979, W. H. Freeman and Company. Reproduced with permission. ;[s] 3:0,0;5,1;69,0;184,-1; 2:2,14,10,Geneva,0,10,0,0,0;1,14,10,Geneva,2,10,0,0,0; :[font = section; inactive; pageBreak; dontPreserveAspect; startGroup] 1 - Introduction :[font = subsection; inactive; dontPreserveAspect; startGroup] 1.1 - About this report :[font = text; inactive; dontPreserveAspect; endGroup] This technical report describes the implementation of a model of the cochlea developed by Richard Lyon. Automatic speech recognition is a difficult problem and by studying the human cochlea we will gain a better understanding of how humans perceive speech. Hopefully this knowledge will help us to design better speech recognition systems. :[font = subsection; inactive; dontPreserveAspect; startGroup] 1.2 - About Mathematica ;[s] 3:0,0;13,1;24,0;25,-1; 2:2,17,12,Chicago,1,12,0,0,0;1,17,12,Chicago,3,12,0,0,0; :[font = text; inactive; dontPreserveAspect] The words you are now reading were formatted using a revolutionary symbolic math program called Mathematica. The resulting document is called a notebook. Mathematica is a symbolic math package developed by Wolfram Research Institute and is available on many popular computers. This report is available as a conventional paper document but more interestingly is also available as an electronic document. Much like a scientist's notebook, this report is a living, breathing document. Readers are encouraged to play with this notebook, modify the models and extend it to apply to their own research. ;[s] 5:0,0;96,1;107,0;156,1;167,0;603,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect] Mathematica is used here to describe the cochlear model for two reasons. First, it provides a portable way to describe the characteristics of the computations. This will allow more people to understand the important characteristics of the model than if the model were described in a conventional programming language. Secondly, and perhaps more importantly, because Mathematica is a complete symbolic math package it allows the reader to explore the mathematics of the model. Thus if the reader is unsure about a concept it is possible to play with the equations that are confusing. ;[s] 4:0,1;11,0;369,1;380,0;588,-1; 2:2,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect] The Mathematica system is described in a book written by Stephen Wolfram called "Mathematica: A System for Doing Mathematics by Computer." Like many symbolic math packages (for example Macsyma) a model is built using textual equations. These equations can then be manipulated algebraically or actually used for computation. In this report Mathematica is mostly used for its computational ability and its excellent graphics. ;[s] 7:0,0;4,1;15,0;82,1;93,0;344,1;355,0;429,-1; 2:4,17,12,Geneva,0,12,0,0,0;3,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect] One characteristic of a Mathematica notebook is that details of the model can be hidden in closed cells. Like an outline, this notebook is organized into sections and subsections. A section of this notebook is used to describe one part of the model (for example the filter design software) and subsections are used to state the equations, show graphical examples and perhaps include some test code. Most readers of this report are probably not interested in the test code and these subsections can be closed so as to not clutter the report. See the Mathematica help screens for information on opening and closing sections of a notebook. ;[s] 5:0,0;24,1;35,0;553,1;565,0;642,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect; endGroup] The information in this report is being published not only on paper but also on Macintosh¨ 3 1/2" floppy disk. By publishing this material electronically we hope to give other scientists and engineers better acccess to this information. Not only do we hope that readers will understand the model better but we hope they will be able to better apply it to their own work. :[font = subsection; inactive; dontPreserveAspect; startGroup] 1.3 - How to use this report :[font = text; inactive; dontPreserveAspect] This report can be read two ways. The paper copy of this notebook can be read like a normal report. Readers who are not familiar with the Mathematica notation used to write this report can ignore the equations. We have written this report so that most of the material is explained in text and figures. While equations (and programs) are entered into Mathematica with linear text the basic principles should be evident for those readers who have questions about the details. ;[s] 5:0,0;140,1;151,0;355,1;366,0;480,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect] We hope that most readers will be able to access a copy of Mathematica and read the electronic version of this report. A notebook reader is provided on the floppy disk to allow readers to browse through the document but the real power of the notebook comes from interacting with the equations defined here. Learning is not a one way process and the material will be better understood if you, the reader, can interact with the material as I, the author, did while writing this report. ;[s] 3:0,0;59,1;70,0;487,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect] The best way to interact with this notebook is to read the description, study the examples and then modify an example to see how different parameters give different results. For example an appendix to this report describes digital filtering and provides functions to design first and second order filters. Much can be learned about digital filtering by combining these filters and studying the resulting frequency response or pole-zero plots. :[font = text; inactive; dontPreserveAspect; endGroup] Readers might also want to modify this model to better fit their own experience or ideas. For example this notebook describes a relatively simple model of the effects of the outer and middle ears on the sound. A reader might be interested in providing a better model or removing the outer and middle ear filters completely and studying the change in response. As another example, this report describes a simple Automatic Gain Control (AGC) to compensate for the large range of sounds produced by humans. This notebook explores several variations on the basic AGC but readers might want to try their own. :[font = subsection; inactive; dontPreserveAspect; startGroup] 1.4 - Prerequisites :[font = text; inactive; dontPreserveAspect] This report was written for readers with some knowledge of signal processing. The filters in this notebook are described using the Laplace and Z transforms. While we never actually calculate a Laplace or Z transform, readers who are comfortable with these tranformations will get the most out of this notebook. More information about digital signal processing can be found in [Oppenheim75]. :[font = text; inactive; dontPreserveAspect; endGroup] An appendix to this report defines several functions that are used to design continuous and digital filters. In the rest of this report the names used for these functions should be self explanatory. For readers of the electronic version of this document, more information is available about any function by selecting the function name and picking "About the selection" from the menu. :[font = subsection; inactive; dontPreserveAspect; startGroup] 1.5 - About This Notebook :[font = text; inactive; dontPreserveAspect] The purpose of this notebook is to describe the design and implementation of a model of sound propagation in the human cochlea. Two versions of the cochlear model are described here. In the model originally published a combination of a cascade filter bank and a parallel set of resonators were used. Later it was realized that these resonators could be folded into the cascade filter bank to build a cascade-only version of the model. It is important to realize that the behaviour of these two models are identical; the change only affects the computational efficiency. :[font = text; inactive; dontPreserveAspect; endGroup; endGroup] This report first describes the philosophy of this cochlea model and the two different implementation techniques are described and illustrated. The model of the cochlea and its implementation as a cascade filter bank are then described. Finally the Automatic Gain Control (AGC) used in this model is explored. :[font = section; inactive; pageBreak; dontPreserveAspect; startGroup] 2 - The Ear Model :[font = subsection; inactive; dontPreserveAspect; startGroup] 2.1 - Philosophy :[font = text; inactive; dontPreserveAspect] The cochlear model to be described here was first sketched by Richard Lyon [Lyon82 and Lyon85] based on work described elsewhere [Schroeder73 and Zweig76]. These papers should be consulted for more information about the theory of the cochlea on which this model is based. The purpose of this notebook is to describe a number of the details that have not been previously published. The information in this report should be sufficient to allow the reader to implement their own version of this cochlear model. :[font = text; inactive; dontPreserveAspect] This model describes the propagation of sound in the inner ear and the conversion of the acoustical energy into neural representations. We do not describe the effect on the sound as it enters the ear and travels down the ear canal. This is commonly thought to consist of a simple linear filter of the sound and thus to be relatively unimportant for speech recognition. The middle ear couples the energy that is traveling in the ear canal through the ear drum and a series of bones into the fluid filled chambers of the cochlea. The middle ear is also thought to provide some automatic gain control (AGC) via the stapedial reflex, but we have chosen not to model this mechanism [Pickels82, p21]. :[font = text; inactive; dontPreserveAspect] This model does not try to literally describe each structure in the cochlea but instead models the cochlea as a "black box." Sound entering the cochlea via the oval window is converted into nerve firings that then travel up the auditory nerve into the brain. The output of this model is a vector proportional to the firing rate of neurons at each point in the cochlea. :[font = text; inactive; dontPreserveAspect; endGroup] While many of the structures in this model (such as half-wave rectification or automatic gain control) are present in the cochlea, we have implemented our model differently to make the computations easier. Hopefully the results or our model are similar to the real cochlea. A more accurate description of the cochlea would model the propagation of pressure waves in two dimensional or three dimensional ducts, replace the AGC described later in this report with structures similar to the outer hair cells and finally would assume a continuous-time analog implementation. This type of model is described in other works [Lyon88a and Lyon88b]. :[font = subsection; inactive; dontPreserveAspect; startGroup] 2.2 - Overview :[font = text; inactive; dontPreserveAspect] The cochlear model described by Lyon [Lyon82] combines a series of filters that model the traveling pressure waves with Half Wave Rectifiers (HWR) to detect the energy in the signal and several stages of Automatic Gain Control (AGC). This structure is shown in the figure below. :[font = input; PICT; formatAsPICT; output; inactive; dontPreserveAspect; pictureLeft = 19; pictureTop = 1; pictureWidth = 380; pictureHeight = 202; pictureID = 2311] :[font = text; inactive; dontPreserveAspect] Sound that enters the outer and the middle ear is passed through the oval window into the cochlea. Once in the cochlear duct the the pressure wave propagates down the basilar membrane. The stiffness of the basilar membrane varies smoothly over its length and at any one point will resonate most strongly with a pressure wave of a particular frequency. At each stage of the cochlea some of this motion is sensed by the hair cells. It is these cells that convert the mechanical signals which in turn cause stimulation of the neurons which commicate with higher levels in the brain. :[font = text; inactive; dontPreserveAspect] An important characteristic of the cochlea is that energy in the acoustitic wave is separated by frequency and each point in the cochlea will respond best to one frequency. In a sense the cochlea maps the frequency content of the signal into the spatial domain. The cochlea near its base (where the sound enters) is most sensitive to high frequency sounds and as the wave travels down the cochlea lower and lower frequencies are sensed. :[font = text; inactive; dontPreserveAspect] This notebook describes the filters and the AGC's shown in the picture above. The outputs of the AGC stage are positive signals that indicate the firing rate of the neurons leading to the brain. This notebook will first describe the characteristics of a filter stage. A number of Mathematica structures used to design digital filters are described in an Appendix. We will then describe the construction of each stage. Finally we will conclude with a discussion of the AGC used in this model. ;[s] 3:0,0;283,1;294,0;497,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect; endGroup] Two versions of the filtering stage are described here. In the original formulation each filter stage was implemented as two separate filters. The sound passes through a cascade of filters to model the propagation down the cochlea and a parallel set of filters model the basilar membrane motion. For this reason the original model is known as the cascade-parallel formulation. Later it was discovered that the poles and zeros of the original two filters per stage could be rearranged and each stage implemented as a single second order filter. This is called the cascade-only filter bank. :[font = subsection; inactive; dontPreserveAspect; startGroup] 2.3 - The Cascade-Parallel Model :[font = text; inactive; dontPreserveAspect] The cochlea is best modeled using a continuous differential equation. This is very difficult to implement on a digital computer so instead we split the cochlea into a large number of discrete sections. We can then model each section with a simple linear transfer function. For small enough sections the errors involved will be negligible and our digital implementation will be accurate. In this implementation of the model we have used approximately 80 stages. :[font = text; inactive; dontPreserveAspect] The cochlea model described by Lyon [Lyon82] combines a series of notch filters that model the traveling pressure waves with resonators to model the conversion of pressure waves into basilar membrane motion or velocity. The combination of notch filters and resonators used to model the cochlea are shown below. :[font = input; PICT; formatAsPICT; output; inactive; dontPreserveAspect; pictureWidth = 436; pictureHeight = 196; pictureID = 31479] :[font = text; inactive; dontPreserveAspect] At each point in the cochlea the acoustic wave is filtered by a notch filter. Each notch filter operates at successfully lower frequencies so the net effect is to gradually low pass filter the acoustic energy. An additional resonator (or bandpass filter) picks out a small range of the traveling energy and models the conversion into basilar membrane motion. It is this motion of the basilar membrane that is detected by the inner hair cells. In the work to follow a combination of a notch and a resonator is called a stage. :[font = text; inactive; dontPreserveAspect] The filters used in this model have pole-zero plots as shown below. Sound travels down the line of notch filters, at each stage getting filtered at lower and lower frequencies. At each stage a resonator (or bandpass filter) senses the output. The following plots show the locations of the poles and zeros in the s-plane for several of the notch and resonator filters. :[font = input; PICT; formatAsPICT; output; inactive; dontPreserveAspect; pictureWidth = 453; pictureHeight = 311; pictureID = 23114] :[font = text; inactive; dontPreserveAspect] The frequency domain responses of the 1, 4, 10, 30, 60 and 75'th stages are shown below. The curves with their peaks at the right represent the response of the low numbered stages while later stages respond best to low frequencies. 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To make the description simpler we will assume there is no sampling and express the filters in the Laplace domain. The bandwidth of each ear filter is a function of its center frequency. At high frequencies the bandwidth is approximately equal to the center frequency divided by a constant (EarQ). At lower frequncies the bandwidth approaches a constant given by EarBreakFreq/EarQ. ;[s] 5:0,0;384,1;388,0;457,1;474,0;476,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) EarBandwidth[cf_] := Sqrt[cf^2 + EarBreakFreq^2]/EarQ (* :[font = text; inactive; dontPreserveAspect] where :[font = input; initialization; dontPreserveAspect] *) EarBreakFreq = 1000.0; (* :[font = input; initialization; dontPreserveAspect] *) EarQ = 8; (* :[font = input; dontPreserveAspect; startGroup] Limit[EarBandwidth[f],f->0] :[font = output; output; inactive; dontPreserveAspect; endGroup] 125. ;[o] 125. :[font = text; inactive; dontPreserveAspect] The bandwidth of the ear filter as a function of its center frequency looks like this: :[font = input; closed; dontPreserveAspect; startGroup] Plot[EarBandwidth[f], {f,100,8000}, AxesLabel->{" Hz", "Hz"}, PlotLabel->"Bandwidth of each Channel"]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119048 0.0147151 0.000584059 [ [(2000)] .2619 .01472 0 2 Msboxa [(4000)] .5 .01472 0 2 Msboxa [(6000)] .7381 .01472 0 2 Msboxa [(8000)] .97619 .01472 0 2 Msboxa [( Hz)] 1.025 .01472 -1 0 Msboxa [(Bandwidth of each Channel)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(200)] .01131 .13153 1 0 Msboxa [(400)] .01131 .24834 1 0 Msboxa [(600)] .01131 .36515 1 0 Msboxa [(800)] .01131 .48196 1 0 Msboxa [(1000)] .01131 .59877 1 0 Msboxa [(Hz)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .01472 m .2619 .02097 L s P [(2000)] .2619 .01472 0 2 Mshowa p .002 w .5 .01472 m .5 .02097 L s P [(4000)] .5 .01472 0 2 Mshowa p .002 w .7381 .01472 m .7381 .02097 L s P [(6000)] .7381 .01472 0 2 Mshowa p .002 w .97619 .01472 m .97619 .02097 L s P [(8000)] .97619 .01472 0 2 Mshowa p .001 w .07143 .01472 m .07143 .01847 L s P p .001 w .11905 .01472 m .11905 .01847 L s P p .001 w .16667 .01472 m .16667 .01847 L s P p .001 w .21429 .01472 m .21429 .01847 L s P p .001 w .30952 .01472 m .30952 .01847 L s P p .001 w .35714 .01472 m .35714 .01847 L s P p .001 w .40476 .01472 m .40476 .01847 L s P p .001 w .45238 .01472 m .45238 .01847 L s P p .001 w .54762 .01472 m .54762 .01847 L s P p .001 w .59524 .01472 m .59524 .01847 L s P p .001 w .64286 .01472 m .64286 .01847 L s P p .001 w .69048 .01472 m .69048 .01847 L s P p .001 w .78571 .01472 m .78571 .01847 L s P p .001 w .83333 .01472 m .83333 .01847 L s P p .001 w .88095 .01472 m .88095 .01847 L s P p .001 w .92857 .01472 m .92857 .01847 L s P [( Hz)] 1.025 .01472 -1 0 Mshowa p .002 w 0 .01472 m 1 .01472 L s P [(Bandwidth of each Channel)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .13153 m .03006 .13153 L s P [(200)] .01131 .13153 1 0 Mshowa p .002 w .02381 .24834 m .03006 .24834 L s P [(400)] .01131 .24834 1 0 Mshowa p .002 w .02381 .36515 m .03006 .36515 L s P [(600)] .01131 .36515 1 0 Mshowa p .002 w .02381 .48196 m .03006 .48196 L s P [(800)] .01131 .48196 1 0 Mshowa p .002 w .02381 .59877 m .03006 .59877 L s P [(1000)] .01131 .59877 1 0 Mshowa p .001 w .02381 .03808 m .02756 .03808 L s P p .001 w .02381 .06144 m .02756 .06144 L s P p .001 w .02381 .0848 m .02756 .0848 L s P p .001 w .02381 .10816 m .02756 .10816 L s P p .001 w .02381 .15489 m .02756 .15489 L s P p .001 w .02381 .17825 m .02756 .17825 L s P p .001 w .02381 .20161 m .02756 .20161 L s P p .001 w .02381 .22498 m .02756 .22498 L s P p .001 w .02381 .2717 m .02756 .2717 L s P p .001 w .02381 .29506 m .02756 .29506 L s P p .001 w .02381 .31843 m .02756 .31843 L s P p .001 w .02381 .34179 m .02756 .34179 L s P p .001 w .02381 .38851 m .02756 .38851 L s P p .001 w .02381 .41187 m .02756 .41187 L s P p .001 w .02381 .43524 m .02756 .43524 L s P p .001 w .02381 .4586 m .02756 .4586 L s P p .001 w .02381 .50532 m .02756 .50532 L s P p .001 w .02381 .52869 m .02756 .52869 L s P p .001 w .02381 .55205 m .02756 .55205 L s P p .001 w .02381 .57541 m .02756 .57541 L s P [(Hz)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .03571 .08809 m .04061 .08845 L .04551 .08893 L .05531 .09023 L .0651 .09199 L .0749 .09416 L .11409 .10634 L .15327 .12257 L .19246 .14131 L .23165 .1616 L .27083 .18288 L .31002 .20481 L .34921 .2272 L .38839 .24992 L .42758 .27287 L .46677 .296 L .50595 .31927 L .54514 .34266 L .58433 .36613 L .62351 .38967 L .6627 .41326 L .70188 .43691 L .74107 .4606 L .78026 .48433 L .81944 .50808 L .85863 .53186 L .89782 .55566 L .937 .57948 L .97619 .60332 L s P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Successive ear filter stages are overlapped by a fraction of their bandwidth. This parameter is arbitrary but smaller numbers lead to more computations. We currently overlap 4 stages within the bandpass region of any one filter. :[font = input; initialization; dontPreserveAspect] *) EarStepFactor = .25; (* :[font = text; inactive; dontPreserveAspect] We model each section of the cochlea with a second order section. We use a pole at the center frequency to give a slight peak to the filter's response at its center frequency. A zero is placed in the response slightly above the center frequency to provide the band rejection. :[font = text; inactive; dontPreserveAspect] The center frequency and quality factor (q) of the zeros are given by: :[font = input; initialization; dontPreserveAspect] *) OriginalZeroCF[cf_] := cf + EarBandwidth[cf]*EarStepFactor* OriginalEarZeroOffset (* :[font = input; initialization; dontPreserveAspect] *) OriginalEarZeroOffset = 0.5; (* :[font = text; inactive; dontPreserveAspect] Note, that OriginalEarZeroOffset is a factor that determines how far the zero is offset from the center frequency of the filter stage. The offset is a function of the center frequency change (EarBandwidth[cf] * EarStepFactor) and models the fact that the response of the filter is slightly lower above the notch than it is below. ;[s] 5:0,0;11,1;32,0;193,1;225,0;331,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) OriginalZeroQ[cf_] := OriginalEarSharpness* OriginalZeroCF[cf]/ EarBandwidth[cf] (* :[font = input; initialization; dontPreserveAspect] *) OriginalEarSharpness = 5.0; (* :[font = text; inactive; dontPreserveAspect] OriginalEarSharpness is a parameter that in effect sets how much sharper the notch (zero) is than the resonator (pole.) ;[s] 2:0,1;20,0;120,-1; 2:1,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; closed; dontPreserveAspect; startGroup] Plot[OriginalZeroQ[f],{f,100,8000}, AxesLabel->{" Hz",""}, PlotLabel->"Notch (Zero) Q vs. Center Frequency"]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119048 -0.332723 0.0232176 [ [(2000)] .2619 .01554 0 2 Msboxa [(4000)] .5 .01554 0 2 Msboxa [(6000)] .7381 .01554 0 2 Msboxa [(8000)] .97619 .01554 0 2 Msboxa [( Hz)] 1.025 .01554 -1 0 Msboxa [(Notch \(Zero\) Q vs. Center Frequency)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(20)] .01131 .13163 1 0 Msboxa [(25)] .01131 .24772 1 0 Msboxa [(30)] .01131 .3638 1 0 Msboxa [(35)] .01131 .47989 1 0 Msboxa [(40)] .01131 .59598 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .01554 m .2619 .02179 L s P [(2000)] .2619 .01554 0 2 Mshowa p .002 w .5 .01554 m .5 .02179 L s P [(4000)] .5 .01554 0 2 Mshowa p .002 w .7381 .01554 m .7381 .02179 L s P [(6000)] .7381 .01554 0 2 Mshowa p .002 w .97619 .01554 m .97619 .02179 L s P [(8000)] .97619 .01554 0 2 Mshowa p .001 w .07143 .01554 m .07143 .01929 L s P p .001 w .11905 .01554 m .11905 .01929 L s P p .001 w .16667 .01554 m .16667 .01929 L s P p .001 w .21429 .01554 m .21429 .01929 L s P p .001 w .30952 .01554 m .30952 .01929 L s P p .001 w .35714 .01554 m .35714 .01929 L s P p .001 w .40476 .01554 m .40476 .01929 L s P p .001 w .45238 .01554 m .45238 .01929 L s P p .001 w .54762 .01554 m .54762 .01929 L s P p .001 w .59524 .01554 m .59524 .01929 L s P p .001 w .64286 .01554 m .64286 .01929 L s P p .001 w .69048 .01554 m .69048 .01929 L s P p .001 w .78571 .01554 m .78571 .01929 L s P p .001 w .83333 .01554 m .83333 .01929 L s P p .001 w .88095 .01554 m .88095 .01929 L s P p .001 w .92857 .01554 m .92857 .01929 L s P [( Hz)] 1.025 .01554 -1 0 Mshowa p .002 w 0 .01554 m 1 .01554 L s P [(Notch \(Zero\) Q vs. Center Frequency)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .13163 m .03006 .13163 L s P [(20)] .01131 .13163 1 0 Mshowa p .002 w .02381 .24772 m .03006 .24772 L s P [(25)] .01131 .24772 1 0 Mshowa p .002 w .02381 .3638 m .03006 .3638 L s P [(30)] .01131 .3638 1 0 Mshowa p .002 w .02381 .47989 m .03006 .47989 L s P [(35)] .01131 .47989 1 0 Mshowa p .002 w .02381 .59598 m .03006 .59598 L s P [(40)] .01131 .59598 1 0 Mshowa p .001 w .02381 .03876 m .02756 .03876 L s P p .001 w .02381 .06198 m .02756 .06198 L s P p .001 w .02381 .08519 m .02756 .08519 L s P p .001 w .02381 .10841 m .02756 .10841 L s P p .001 w .02381 .15485 m .02756 .15485 L s P p .001 w .02381 .17806 m .02756 .17806 L s P p .001 w .02381 .20128 m .02756 .20128 L s P p .001 w .02381 .2245 m .02756 .2245 L s P p .001 w .02381 .27093 m .02756 .27093 L s P p .001 w .02381 .29415 m .02756 .29415 L s P p .001 w .02381 .31737 m .02756 .31737 L s P p .001 w .02381 .34059 m .02756 .34059 L s P p .001 w .02381 .38702 m .02756 .38702 L s P p .001 w .02381 .41024 m .02756 .41024 L s P p .001 w .02381 .43346 m .02756 .43346 L s P p .001 w .02381 .45667 m .02756 .45667 L s P p .001 w .02381 .50311 m .02756 .50311 L s P p .001 w .02381 .52633 m .02756 .52633 L s P p .001 w .02381 .54954 m .02756 .54954 L s P p .001 w .02381 .57276 m .02756 .57276 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w s .06803 0 m .0749 .04805 L s .0749 .04805 m .09449 .15593 L .11409 .24295 L .13368 .31165 L .15327 .36541 L .17287 .40745 L .19246 .44051 L .21205 .4667 L .23165 .48765 L .25124 .50458 L .27083 .5184 L .29043 .5298 L .31002 .53927 L .34921 .55395 L .38839 .56462 L .42758 .57258 L .46677 .57866 L .50595 .58341 L .54514 .58718 L .58433 .59023 L .62351 .59272 L .6627 .59478 L .70188 .5965 L .74107 .59796 L .78026 .5992 L .81944 .60027 L .85863 .60119 L .89782 .60199 L .937 .6027 L .97619 .60332 L s P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] The poles (resonators) in the response are centered at the center frequency of each stage but have a lower bandwidth or q. ;[s] 3:0,0;120,1;121,0;123,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) OriginalPoleCF[cf_] := cf (* :[font = input; initialization; dontPreserveAspect] *) OriginalPoleQ[cf_] := cf / EarBandwidth[cf] (* :[font = input; closed; dontPreserveAspect; startGroup] Plot[OriginalPoleQ[f],{f,100,8000}, AxesLabel->{" Hz",""}, PlotLabel->"Resonator (Pole) Q vs. Center Frequency"]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119048 -0.318212 0.116088 [ [(2000)] .2619 .03005 0 2 Msboxa [(4000)] .5 .03005 0 2 Msboxa [(6000)] .7381 .03005 0 2 Msboxa [(8000)] .97619 .03005 0 2 Msboxa [( Hz)] 1.025 .03005 -1 0 Msboxa [(Resonator \(Pole\) Q vs. Center Frequency)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(4)] .01131 .14614 1 0 Msboxa [(5)] .01131 .26223 1 0 Msboxa [(6)] .01131 .37831 1 0 Msboxa [(7)] .01131 .4944 1 0 Msboxa [(8)] .01131 .61049 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .03005 m .2619 .0363 L s P [(2000)] .2619 .03005 0 2 Mshowa p .002 w .5 .03005 m .5 .0363 L s P [(4000)] .5 .03005 0 2 Mshowa p .002 w .7381 .03005 m .7381 .0363 L s P [(6000)] .7381 .03005 0 2 Mshowa p .002 w .97619 .03005 m .97619 .0363 L s P [(8000)] .97619 .03005 0 2 Mshowa p .001 w .07143 .03005 m .07143 .0338 L s P p .001 w .11905 .03005 m .11905 .0338 L s P p .001 w .16667 .03005 m .16667 .0338 L s P p .001 w .21429 .03005 m .21429 .0338 L s P p .001 w .30952 .03005 m .30952 .0338 L s P p .001 w .35714 .03005 m .35714 .0338 L s P p .001 w .40476 .03005 m .40476 .0338 L s P p .001 w .45238 .03005 m .45238 .0338 L s P p .001 w .54762 .03005 m .54762 .0338 L s P p .001 w .59524 .03005 m .59524 .0338 L s P p .001 w .64286 .03005 m .64286 .0338 L s P p .001 w .69048 .03005 m .69048 .0338 L s P p .001 w .78571 .03005 m .78571 .0338 L s P p .001 w .83333 .03005 m .83333 .0338 L s P p .001 w .88095 .03005 m .88095 .0338 L s P p .001 w .92857 .03005 m .92857 .0338 L s P [( Hz)] 1.025 .03005 -1 0 Mshowa p .002 w 0 .03005 m 1 .03005 L s P [(Resonator \(Pole\) Q vs. Center Frequency)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .14614 m .03006 .14614 L s P [(4)] .01131 .14614 1 0 Mshowa p .002 w .02381 .26223 m .03006 .26223 L s P [(5)] .01131 .26223 1 0 Mshowa p .002 w .02381 .37831 m .03006 .37831 L s P [(6)] .01131 .37831 1 0 Mshowa p .002 w .02381 .4944 m .03006 .4944 L s P [(7)] .01131 .4944 1 0 Mshowa p .002 w .02381 .61049 m .03006 .61049 L s P [(8)] .01131 .61049 1 0 Mshowa p .001 w .02381 .05327 m .02756 .05327 L s P p .001 w .02381 .07649 m .02756 .07649 L s P p .001 w .02381 .0997 m .02756 .0997 L s P p .001 w .02381 .12292 m .02756 .12292 L s P p .001 w .02381 .16936 m .02756 .16936 L s P p .001 w .02381 .19257 m .02756 .19257 L s P p .001 w .02381 .21579 m .02756 .21579 L s P p .001 w .02381 .23901 m .02756 .23901 L s P p .001 w .02381 .28544 m .02756 .28544 L s P p .001 w .02381 .30866 m .02756 .30866 L s P p .001 w .02381 .33188 m .02756 .33188 L s P p .001 w .02381 .3551 m .02756 .3551 L s P p .001 w .02381 .40153 m .02756 .40153 L s P p .001 w .02381 .42475 m .02756 .42475 L s P p .001 w .02381 .44797 m .02756 .44797 L s P p .001 w .02381 .47119 m .02756 .47119 L s P p .001 w .02381 .51762 m .02756 .51762 L s P p .001 w .02381 .54084 m .02756 .54084 L s P p .001 w .02381 .56406 m .02756 .56406 L s P p .001 w .02381 .58727 m .02756 .58727 L s P p .001 w .02381 .00683 m .02756 .00683 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w s .06803 0 m .0749 .04805 L s .0749 .04805 m .09449 .15593 L .11409 .24295 L .13368 .31165 L .15327 .36541 L .17287 .40745 L .19246 .44051 L .21205 .4667 L .23165 .48765 L .25124 .50458 L .27083 .5184 L .29043 .5298 L .31002 .53927 L .34921 .55395 L .38839 .56462 L .42758 .57258 L .46677 .57866 L .50595 .58341 L .54514 .58718 L .58433 .59023 L .62351 .59272 L .6627 .59478 L .70188 .5965 L .74107 .59796 L .78026 .5992 L .81944 .60027 L .85863 .60119 L .89782 .60199 L .937 .6027 L .97619 .60332 L s P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Each section or stage of the discrete cochlea is numbered starting at the base. Those stages that are closest to the base (low indices) are sensitive to the highest frequencies and stages with higher indices respond to lower frequencies. The center frequency of each discrete ear filter is defined by the following recursive relationship: [Note, Block is a Mathematica function that allocates storage for a list of variables, just cf in this case, and then executes the statements that follow.] ;[s] 7:0,0;350,1;355,0;361,2;372,0;435,1;437,0;499,-1; 3:4,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) OriginalEarChannelCF[index_] := OriginalEarChannelCF[index] = If [ index <= 0, 8000, Block[{cf}, cf = OriginalEarChannelCF[index-1]; cf - EarStepFactor EarBandwidth[cf]]] (* :[font = text; inactive; dontPreserveAspect] Starting at an arbitrary high frequency (8000 Hz for index = 0) we step down in frequency by EarStepFactor times the bandwidth of the filter at the previous frequency. ;[s] 5:0,0;53,1;62,0;93,1;106,0;170,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; closed; dontPreserveAspect; startGroup] ListPlot[Table[OriginalEarChannelCF[index], {index,1,85}], PlotLabel->" Center Frequency", AxesLabel->{" Stage Index","(Hz)"}]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 280; pictureHeight = 172; endGroup; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.0112045 0.0147151 7.59679e-05 [ [(20)] .2479 .01472 0 2 Msboxa [(40)] .47199 .01472 0 2 Msboxa [(60)] .69608 .01472 0 2 Msboxa [(80)] .92017 .01472 0 2 Msboxa [( Stage Index)] 1.025 .01472 -1 0 Msboxa [( Center Frequency)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(2000)] .01131 .16665 1 0 Msboxa [(4000)] .01131 .31859 1 0 Msboxa [(6000)] .01131 .47052 1 0 Msboxa [(\(Hz\))] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2479 .01472 m .2479 .02097 L s P [(20)] .2479 .01472 0 2 Mshowa p .002 w .47199 .01472 m .47199 .02097 L s P [(40)] .47199 .01472 0 2 Mshowa p .002 w .69608 .01472 m .69608 .02097 L s P [(60)] .69608 .01472 0 2 Mshowa p .002 w .92017 .01472 m .92017 .02097 L s P [(80)] .92017 .01472 0 2 Mshowa p .001 w .06863 .01472 m .06863 .01847 L s P p .001 w .11345 .01472 m .11345 .01847 L s P p .001 w .15826 .01472 m .15826 .01847 L s P p .001 w .20308 .01472 m .20308 .01847 L s P p .001 w .29272 .01472 m .29272 .01847 L s P p .001 w .33754 .01472 m .33754 .01847 L s P p .001 w .38235 .01472 m .38235 .01847 L s P p .001 w .42717 .01472 m .42717 .01847 L s P p .001 w .51681 .01472 m .51681 .01847 L s P p .001 w .56162 .01472 m .56162 .01847 L s P p .001 w .60644 .01472 m .60644 .01847 L s P p .001 w .65126 .01472 m .65126 .01847 L s P p .001 w .7409 .01472 m .7409 .01847 L s P p .001 w .78571 .01472 m .78571 .01847 L s P p .001 w .83053 .01472 m .83053 .01847 L s P p .001 w .87535 .01472 m .87535 .01847 L s P p .001 w .96499 .01472 m .96499 .01847 L s P [( Stage Index)] 1.025 .01472 -1 0 Mshowa p .002 w 0 .01472 m 1 .01472 L s P [( Center Frequency)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .16665 m .03006 .16665 L s P [(2000)] .01131 .16665 1 0 Mshowa p .002 w .02381 .31859 m .03006 .31859 L s P [(4000)] .01131 .31859 1 0 Mshowa p .002 w .02381 .47052 m .03006 .47052 L s P [(6000)] .01131 .47052 1 0 Mshowa p .001 w .02381 .0451 m .02756 .0451 L s P p .001 w .02381 .07549 m .02756 .07549 L s P p .001 w .02381 .10588 m .02756 .10588 L s P p .001 w .02381 .13626 m .02756 .13626 L s P p .001 w .02381 .19704 m .02756 .19704 L s P p .001 w .02381 .22743 m .02756 .22743 L s P p .001 w .02381 .25781 m .02756 .25781 L s P p .001 w .02381 .2882 m .02756 .2882 L s P p .001 w .02381 .34897 m .02756 .34897 L s P p .001 w .02381 .37936 m .02756 .37936 L s P p .001 w .02381 .40975 m .02756 .40975 L s P p .001 w .02381 .44014 m .02756 .44014 L s P p .001 w .02381 .50091 m .02756 .50091 L s P p .001 w .02381 .5313 m .02756 .5313 L s P p .001 w .02381 .56168 m .02756 .56168 L s P p .001 w .02381 .59207 m .02756 .59207 L s P [(\(Hz\))] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p .008 w .03501 .60332 Mdot .04622 .58477 Mdot .05742 .5668 Mdot .06863 .54939 Mdot .07983 .53251 Mdot .09104 .51615 Mdot .10224 .50031 Mdot .11345 .48495 Mdot .12465 .47006 Mdot .13585 .45564 Mdot .14706 .44165 Mdot .15826 .4281 Mdot .16947 .41497 Mdot .18067 .40224 Mdot .19188 .3899 Mdot .20308 .37793 Mdot .21429 .36634 Mdot .22549 .3551 Mdot .23669 .3442 Mdot .2479 .33363 Mdot .2591 .32339 Mdot .27031 .31345 Mdot .28151 .30382 Mdot .29272 .29448 Mdot .30392 .28542 Mdot .31513 .27663 Mdot .32633 .26811 Mdot .33754 .25984 Mdot .34874 .25182 Mdot .35994 .24404 Mdot .37115 .23649 Mdot .38235 .22917 Mdot .39356 .22206 Mdot .40476 .21516 Mdot .41597 .20846 Mdot .42717 .20196 Mdot .43838 .19564 Mdot .44958 .18951 Mdot .46078 .18355 Mdot .47199 .17777 Mdot .48319 .17215 Mdot .4944 .16668 Mdot .5056 .16137 Mdot .51681 .15621 Mdot .52801 .15119 Mdot .53922 .14631 Mdot .55042 .14156 Mdot .56162 .13694 Mdot .57283 .13245 Mdot .58403 .12807 Mdot .59524 .1238 Mdot .60644 .11965 Mdot .61765 .1156 Mdot .62885 .11165 Mdot .64006 .10781 Mdot .65126 .10405 Mdot .66246 .10039 Mdot .67367 .09681 Mdot .68487 .09331 Mdot .69608 .0899 Mdot .70728 .08656 Mdot .71849 .08329 Mdot .72969 .08009 Mdot .7409 .07696 Mdot .7521 .07389 Mdot .76331 .07088 Mdot .77451 .06793 Mdot .78571 .06503 Mdot .79692 .06218 Mdot .80812 .05938 Mdot .81933 .05663 Mdot .83053 .05392 Mdot .84174 .05125 Mdot .85294 .04861 Mdot .86415 .04601 Mdot .87535 .04345 Mdot .88655 .04091 Mdot .89776 .0384 Mdot .90896 .03591 Mdot .92017 .03344 Mdot .93137 .031 Mdot .94258 .02857 Mdot .95378 .02616 Mdot .96499 .02376 Mdot .97619 .02137 Mdot P % End of Graphics MathPictureEnd :[font = subsection; inactive; dontPreserveAspect; startGroup] 2.5 - Cascade-Parallel Filter Design :[font = text; inactive; dontPreserveAspect] We can now design the actual filters used in the original ear model. Each notch filter is a combination of a pair of poles (with low q) and a pair of zeros (with a higher q and higher center frequency.) To simplify the explanation we will illustrate the model by showing the continuous time filters. [Note the function ContinuousSecondOrderFilter and other basic filter design functions are defined in the Appendix to this report.] ;[s] 7:0,0;134,1;135,0;172,1;173,0;322,1;349,0;437,-1; 2:4,17,12,Geneva,0,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) OriginalNotch[index_] := Block[{cf,zerof,polef}, cf = OriginalEarChannelCF[index]; zerof = ContinuousSecondOrderFilter[ OriginalZeroCF[cf], OriginalZeroQ[cf]]; polef = ContinuousSecondOrderFilter[ OriginalPoleCF[cf], OriginalPoleQ[cf]]; N[ContinuousAdjustGain[zerof/polef,0]]] (* :[font = text; inactive; dontPreserveAspect] For example this is the response to the 10'th notch filter. :[font = input; dontPreserveAspect; startGroup] onp = ContinuousFreqResponse[OriginalNotch[10],10000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 9.52381e-05 0.593439 0.0663005 [ [(2000)] .21429 .59344 0 2 Msboxa [(4000)] .40476 .59344 0 2 Msboxa [(6000)] .59524 .59344 0 2 Msboxa [(8000)] .78571 .59344 0 2 Msboxa [(10000)] .97619 .59344 0 2 Msboxa [( Hz)] 1.025 .59344 -1 0 Msboxa [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(-8)] .01131 .06304 1 0 Msboxa [(-6)] .01131 .19564 1 0 Msboxa [(-4)] .01131 .32824 1 0 Msboxa [(-2)] .01131 .46084 1 0 Msboxa [(dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .21429 .59344 m .21429 .59969 L s P [(2000)] .21429 .59344 0 2 Mshowa p .002 w .40476 .59344 m .40476 .59969 L s P [(4000)] .40476 .59344 0 2 Mshowa p .002 w .59524 .59344 m .59524 .59969 L s P [(6000)] .59524 .59344 0 2 Mshowa p .002 w .78571 .59344 m .78571 .59969 L s P [(8000)] .78571 .59344 0 2 Mshowa p .002 w .97619 .59344 m .97619 .59969 L s P [(10000)] .97619 .59344 0 2 Mshowa p .001 w .0619 .59344 m .0619 .59719 L s P p .001 w .1 .59344 m .1 .59719 L s P p .001 w .1381 .59344 m .1381 .59719 L s P p .001 w .17619 .59344 m .17619 .59719 L s P p .001 w .25238 .59344 m .25238 .59719 L s P p .001 w .29048 .59344 m .29048 .59719 L s P p .001 w .32857 .59344 m .32857 .59719 L s P p .001 w .36667 .59344 m .36667 .59719 L s P p .001 w .44286 .59344 m .44286 .59719 L s P p .001 w .48095 .59344 m .48095 .59719 L s P p .001 w .51905 .59344 m .51905 .59719 L s P p .001 w .55714 .59344 m .55714 .59719 L s P p .001 w .63333 .59344 m .63333 .59719 L s P p .001 w .67143 .59344 m .67143 .59719 L s P p .001 w .70952 .59344 m .70952 .59719 L s P p .001 w .74762 .59344 m .74762 .59719 L s P p .001 w .82381 .59344 m .82381 .59719 L s P p .001 w .8619 .59344 m .8619 .59719 L s P p .001 w .9 .59344 m .9 .59719 L s P p .001 w .9381 .59344 m .9381 .59719 L s P [( Hz)] 1.025 .59344 -1 0 Mshowa p .002 w 0 .59344 m 1 .59344 L s P [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .06304 m .03006 .06304 L s P [(-8)] .01131 .06304 1 0 Mshowa p .002 w .02381 .19564 m .03006 .19564 L s P [(-6)] .01131 .19564 1 0 Mshowa p .002 w .02381 .32824 m .03006 .32824 L s P [(-4)] .01131 .32824 1 0 Mshowa p .002 w .02381 .46084 m .03006 .46084 L s P [(-2)] .01131 .46084 1 0 Mshowa p .001 w .02381 .08956 m .02756 .08956 L s P p .001 w .02381 .11608 m .02756 .11608 L s P p .001 w .02381 .1426 m .02756 .1426 L s P p .001 w .02381 .16912 m .02756 .16912 L s P p .001 w .02381 .22216 m .02756 .22216 L s P p .001 w .02381 .24868 m .02756 .24868 L s P p .001 w .02381 .2752 m .02756 .2752 L s P p .001 w .02381 .30172 m .02756 .30172 L s P p .001 w .02381 .35476 m .02756 .35476 L s P p .001 w .02381 .38128 m .02756 .38128 L s P p .001 w .02381 .4078 m .02756 .4078 L s P p .001 w .02381 .43432 m .02756 .43432 L s P p .001 w .02381 .48736 m .02756 .48736 L s P p .001 w .02381 .51388 m .02756 .51388 L s P p .001 w .02381 .5404 m .02756 .5404 L s P p .001 w .02381 .56692 m .02756 .56692 L s P p .001 w .02381 .03652 m .02756 .03652 L s P p .001 w .02381 .01 m .02756 .01 L s P [(dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .0239 .59344 m .02514 .59344 L .02638 .59344 L .02762 .59344 L .02886 .59344 L .03134 .59344 L .03382 .59344 L .0363 .59345 L .03878 .59345 L .04374 .59346 L .0487 .59347 L .05366 .59348 L .06358 .59351 L .0735 .59355 L .08342 .5936 L .10326 .59372 L .1231 .59388 L .14294 .59408 L .18262 .5946 L .2223 .59532 L .26198 .59624 L .30165 .59743 L .34133 .5989 L .38101 .60065 L .40085 .60158 L .42069 .60247 L .43061 .60285 L .43557 .60302 L .44053 .60315 L .44301 .60321 L .44549 .60325 L .44673 .60327 L .44797 .60329 L .44921 .6033 L .45045 .60331 L .45169 .60332 L .45293 .60332 L .45417 .60332 L .45541 .60331 L .45665 .6033 L .45789 .60329 L .45913 .60327 L .46037 .60325 L .46285 .60318 L .46533 .60309 L .46781 .60298 L .47029 .60283 L .47277 .60265 L .47525 .60243 L .48021 .60186 L Mistroke .48517 .60106 L .49013 .59999 L .49509 .59856 L .50005 .59667 L .50501 .59419 L .50997 .59093 L .51493 .58666 L .51989 .58105 L .52485 .57363 L .52981 .56378 L .53477 .55062 L .53973 .53291 L .54469 .50888 L .54965 .47608 L .55461 .43101 L .55957 .36886 L .56453 .28306 L .56949 .16502 L .57444 .00499 L Mfstroke .57457 0 m .57444 .00499 L s s s s s s s s s .59907 0 m .59924 .00521 L s .59924 .00521 m .6042 .11359 L .60916 .19403 L .61412 .25476 L .61908 .30155 L .62404 .3383 L .629 .36767 L .63396 .39152 L .63892 .41115 L .64884 .4413 L .65876 .46315 L .66868 .47954 L .6786 .4922 L .68852 .50222 L .69844 .51031 L .71828 .5225 L .73812 .53119 L .75796 .53765 L .7778 .54262 L .79764 .54655 L .81748 .54972 L .85715 .55452 L .89683 .55796 L .93651 .56053 L .97619 .56251 L s P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] A resonator converts pressure in the cochlea into basilar membrane motion. We represent the resonator as a combination of a zero at DC (implemented as a differentiator) and a pair of poles. The poles (or bandpass filter) are slightly below the center frequency of the stage so that they emphasize the frequencies near the cutoff frequency. To make the computations easier the poles of this stage are actually placed at the same location as the poles in the resonator of the following stage. The reasons for this will be described in the next section. In the latest model we combine the poles in adjacent stages to reduce the computational effort. :[font = input; initialization; dontPreserveAspect] *) OriginalResonator[index_] := Block[{cfplus1,zerof,polef}, cfplus1 = OriginalEarChannelCF[index+1]; zerof = s; polef = ContinuousSecondOrderFilter[ OriginalPoleCF[cfplus1], OriginalPoleQ[cfplus1]]; N[ContinuousAdjustGain[zerof/polef,cfplus1]]] (* :[font = text; inactive; dontPreserveAspect] This is the response of the 10'th resonator. The sharp cutoff at DC is caused by the differentiator. :[font = input; dontPreserveAspect; startGroup] orp = ContinuousFreqResponse[OriginalResonator[10], 10000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 9.52381e-05 0.603319 0.00633445 [ [(2000)] .21429 .60332 0 2 Msboxa [(4000)] .40476 .60332 0 2 Msboxa [(6000)] .59524 .60332 0 2 Msboxa [(8000)] .78571 .60332 0 2 Msboxa [(10000)] .97619 .60332 0 2 Msboxa [( Hz)] 1.025 .60332 -1 0 Msboxa [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(-80)] .01131 .09656 1 0 Msboxa [(-60)] .01131 .22325 1 0 Msboxa [(-40)] .01131 .34994 1 0 Msboxa [(-20)] .01131 .47663 1 0 Msboxa [(dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .21429 .60332 m .21429 .60957 L s P [(2000)] .21429 .60332 0 2 Mshowa p .002 w .40476 .60332 m .40476 .60957 L s P [(4000)] .40476 .60332 0 2 Mshowa p .002 w .59524 .60332 m .59524 .60957 L s P [(6000)] .59524 .60332 0 2 Mshowa p .002 w .78571 .60332 m .78571 .60957 L s P [(8000)] .78571 .60332 0 2 Mshowa p .002 w .97619 .60332 m .97619 .60957 L s P [(10000)] .97619 .60332 0 2 Mshowa p .001 w .0619 .60332 m .0619 .60707 L s P p .001 w .1 .60332 m .1 .60707 L s P p .001 w .1381 .60332 m .1381 .60707 L s P p .001 w .17619 .60332 m .17619 .60707 L s P p .001 w .25238 .60332 m .25238 .60707 L s P p .001 w .29048 .60332 m .29048 .60707 L s P p .001 w .32857 .60332 m .32857 .60707 L s P p .001 w .36667 .60332 m .36667 .60707 L s P p .001 w .44286 .60332 m .44286 .60707 L s P p .001 w .48095 .60332 m .48095 .60707 L s P p .001 w .51905 .60332 m .51905 .60707 L s P p .001 w .55714 .60332 m .55714 .60707 L s P p .001 w .63333 .60332 m .63333 .60707 L s P p .001 w .67143 .60332 m .67143 .60707 L s P p .001 w .70952 .60332 m .70952 .60707 L s P p .001 w .74762 .60332 m .74762 .60707 L s P p .001 w .82381 .60332 m .82381 .60707 L s P p .001 w .8619 .60332 m .8619 .60707 L s P p .001 w .9 .60332 m .9 .60707 L s P p .001 w .9381 .60332 m .9381 .60707 L s P [( Hz)] 1.025 .60332 -1 0 Mshowa p .002 w 0 .60332 m 1 .60332 L s P [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .09656 m .03006 .09656 L s P [(-80)] .01131 .09656 1 0 Mshowa p .002 w .02381 .22325 m .03006 .22325 L s P [(-60)] .01131 .22325 1 0 Mshowa p .002 w .02381 .34994 m .03006 .34994 L s P [(-40)] .01131 .34994 1 0 Mshowa p .002 w .02381 .47663 m .03006 .47663 L s P [(-20)] .01131 .47663 1 0 Mshowa p .001 w .02381 .1219 m .02756 .1219 L s P p .001 w .02381 .14724 m .02756 .14724 L s P p .001 w .02381 .17258 m .02756 .17258 L s P p .001 w .02381 .19791 m .02756 .19791 L s P p .001 w .02381 .24859 m .02756 .24859 L s P p .001 w .02381 .27393 m .02756 .27393 L s P p .001 w .02381 .29927 m .02756 .29927 L s P p .001 w .02381 .3246 m .02756 .3246 L s P p .001 w .02381 .37528 m .02756 .37528 L s P p .001 w .02381 .40062 m .02756 .40062 L s P p .001 w .02381 .42595 m .02756 .42595 L s P p .001 w .02381 .45129 m .02756 .45129 L s P p .001 w .02381 .50197 m .02756 .50197 L s P p .001 w .02381 .52731 m .02756 .52731 L s P p .001 w .02381 .55264 m .02756 .55264 L s P p .001 w .02381 .57798 m .02756 .57798 L s P p .001 w .02381 .07123 m .02756 .07123 L s P p .001 w .02381 .04589 m .02756 .04589 L s P p .001 w .02381 .02055 m .02756 .02055 L s P [(dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .0239 .01472 m .02514 .15999 L .02638 .19613 L .02762 .21776 L .02886 .23325 L .03134 .25522 L .03382 .27088 L .03878 .29304 L .04374 .30881 L .05366 .33113 L .06358 .34704 L .08342 .36969 L .10326 .38603 L .14294 .40987 L .18262 .42794 L .2223 .44324 L .26198 .45722 L .30165 .47074 L .34133 .48453 L .38101 .49931 L .42069 .51605 L .46037 .53625 L .50005 .56256 L .51989 .57883 L .52981 .5874 L .53973 .59536 L .54469 .59868 L .54717 .60008 L .54965 .60125 L .55213 .60219 L .55337 .60255 L .55461 .60285 L .55585 .60307 L .55709 .60323 L .55833 .60331 L .55957 .60331 L .56081 .60325 L .56205 .60311 L .56329 .6029 L .56453 .60262 L .56701 .60187 L .56949 .60088 L .57444 .59831 L .5794 .59514 L .61908 .56648 L .65876 .54506 L .69844 .52969 L .73812 .51797 L .7778 .50859 L .81748 .50079 L Mistroke .85715 .49415 L .89683 .48836 L .93651 .48324 L .97619 .47865 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] We can overlay these two last plots to show that the resonator peaks at the lower edge of the notch filter. :[font = input; dontPreserveAspect; startGroup] Show[onp,orp]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 9.52381e-05 0.600905 0.0162 [ [(2000)] .21429 .6009 0 2 Msboxa [(4000)] .40476 .6009 0 2 Msboxa [(6000)] .59524 .6009 0 2 Msboxa [(8000)] .78571 .6009 0 2 Msboxa [(10000)] .97619 .6009 0 2 Msboxa [( Hz)] 1.025 .6009 -1 0 Msboxa [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(-35)] .01131 .03391 1 0 Msboxa [(-30)] .01131 .11491 1 0 Msboxa [(-25)] .01131 .19591 1 0 Msboxa [(-20)] .01131 .27691 1 0 Msboxa [(-15)] .01131 .35791 1 0 Msboxa [(-10)] .01131 .43891 1 0 Msboxa [(-5)] .01131 .51991 1 0 Msboxa [(dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .21429 .6009 m .21429 .60715 L s P [(2000)] .21429 .6009 0 2 Mshowa p .002 w .40476 .6009 m .40476 .60715 L s P [(4000)] .40476 .6009 0 2 Mshowa p .002 w .59524 .6009 m .59524 .60715 L s P [(6000)] .59524 .6009 0 2 Mshowa p .002 w .78571 .6009 m .78571 .60715 L s P [(8000)] .78571 .6009 0 2 Mshowa p .002 w .97619 .6009 m .97619 .60715 L s P [(10000)] .97619 .6009 0 2 Mshowa p .001 w .0619 .6009 m .0619 .60465 L s P p .001 w .1 .6009 m .1 .60465 L s P p .001 w .1381 .6009 m .1381 .60465 L s P p .001 w .17619 .6009 m .17619 .60465 L s P p .001 w .25238 .6009 m .25238 .60465 L s P p .001 w .29048 .6009 m .29048 .60465 L s P p .001 w .32857 .6009 m .32857 .60465 L s P p .001 w .36667 .6009 m .36667 .60465 L s P p .001 w .44286 .6009 m .44286 .60465 L s P p .001 w .48095 .6009 m .48095 .60465 L s P p .001 w .51905 .6009 m .51905 .60465 L s P p .001 w .55714 .6009 m .55714 .60465 L s P p .001 w .63333 .6009 m .63333 .60465 L s P p .001 w .67143 .6009 m .67143 .60465 L s P p .001 w .70952 .6009 m .70952 .60465 L s P p .001 w .74762 .6009 m .74762 .60465 L s P p .001 w .82381 .6009 m .82381 .60465 L s P p .001 w .8619 .6009 m .8619 .60465 L s P p .001 w .9 .6009 m .9 .60465 L s P p .001 w .9381 .6009 m .9381 .60465 L s P [( Hz)] 1.025 .6009 -1 0 Mshowa p .002 w 0 .6009 m 1 .6009 L s P [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .03391 m .03006 .03391 L s P [(-35)] .01131 .03391 1 0 Mshowa p .002 w .02381 .11491 m .03006 .11491 L s P [(-30)] .01131 .11491 1 0 Mshowa p .002 w .02381 .19591 m .03006 .19591 L s P [(-25)] .01131 .19591 1 0 Mshowa p .002 w .02381 .27691 m .03006 .27691 L s P [(-20)] .01131 .27691 1 0 Mshowa p .002 w .02381 .35791 m .03006 .35791 L s P [(-15)] .01131 .35791 1 0 Mshowa p .002 w .02381 .43891 m .03006 .43891 L s P [(-10)] .01131 .43891 1 0 Mshowa p .002 w .02381 .51991 m .03006 .51991 L s P [(-5)] .01131 .51991 1 0 Mshowa p .001 w .02381 .05011 m .02756 .05011 L s P p .001 w .02381 .06631 m .02756 .06631 L s P p .001 w .02381 .08251 m .02756 .08251 L s P p .001 w .02381 .09871 m .02756 .09871 L s P p .001 w .02381 .13111 m .02756 .13111 L s P p .001 w .02381 .14731 m .02756 .14731 L s P p .001 w .02381 .16351 m .02756 .16351 L s P p .001 w .02381 .17971 m .02756 .17971 L s P p .001 w .02381 .21211 m .02756 .21211 L s P p .001 w .02381 .22831 m .02756 .22831 L s P p .001 w .02381 .24451 m .02756 .24451 L s P p .001 w .02381 .26071 m .02756 .26071 L s P p .001 w .02381 .29311 m .02756 .29311 L s P p .001 w .02381 .30931 m .02756 .30931 L s P p .001 w .02381 .32551 m .02756 .32551 L s P p .001 w .02381 .34171 m .02756 .34171 L s P p .001 w .02381 .37411 m .02756 .37411 L s P p .001 w .02381 .39031 m .02756 .39031 L s P p .001 w .02381 .40651 m .02756 .40651 L s P p .001 w .02381 .42271 m .02756 .42271 L s P p .001 w .02381 .45511 m .02756 .45511 L s P p .001 w .02381 .47131 m .02756 .47131 L s P p .001 w .02381 .48751 m .02756 .48751 L s P p .001 w .02381 .50371 m .02756 .50371 L s P p .001 w .02381 .53611 m .02756 .53611 L s P p .001 w .02381 .5523 m .02756 .5523 L s P p .001 w .02381 .5685 m .02756 .5685 L s P p .001 w .02381 .5847 m .02756 .5847 L s P p .001 w .02381 .01771 m .02756 .01771 L s P p .001 w .02381 .00151 m .02756 .00151 L s P p .001 w .02381 .6171 m .02756 .6171 L s P [(dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p p .004 w .0239 .6009 m .02514 .6009 L .02638 .6009 L .02762 .60091 L .02886 .60091 L .03134 .60091 L .03382 .60091 L .0363 .60091 L .03878 .60091 L .04374 .60091 L .0487 .60091 L .05366 .60091 L .06358 .60092 L .0735 .60093 L .08342 .60094 L .10326 .60097 L .1231 .60101 L .14294 .60106 L .18262 .60119 L .2223 .60136 L .26198 .60159 L .30165 .60188 L .34133 .60224 L .38101 .60267 L .40085 .60289 L .42069 .60311 L .43061 .60321 L .43557 .60324 L .44053 .60328 L .44301 .60329 L .44549 .6033 L .44673 .60331 L .44797 .60331 L .44921 .60331 L .45045 .60332 L .45169 .60332 L .45293 .60332 L .45417 .60332 L .45541 .60332 L .45665 .60331 L .45789 .60331 L .45913 .60331 L .46037 .6033 L .46285 .60329 L .46533 .60326 L .46781 .60324 L .47029 .6032 L .47277 .60316 L .47525 .6031 L .48021 .60296 L Mistroke .48517 .60277 L .49013 .60251 L .49509 .60216 L .50005 .60169 L .50501 .60109 L .50997 .60029 L .51493 .59925 L .51989 .59788 L .52485 .59606 L .52981 .59366 L .53477 .59044 L .53973 .58611 L .54469 .58024 L .54965 .57223 L .55461 .56122 L .55957 .54603 L .56453 .52507 L .56949 .49622 L .57444 .45712 L .5794 .40787 L .58064 .39531 L .58188 .3838 L .58312 .37434 L .58436 .36801 L .5856 .36566 L .58684 .36749 L .58932 .38104 L .59428 .42176 L .59924 .45718 L .6042 .48366 L .60916 .50331 L .61412 .51815 L .61908 .52958 L .62404 .53856 L .629 .54574 L .63396 .55157 L .63892 .55636 L .64884 .56373 L .65876 .56907 L .66868 .57308 L .6786 .57617 L .68852 .57862 L .69844 .58059 L .71828 .58357 L .73812 .58569 L .75796 .58727 L .7778 .58849 L .79764 .58945 L .81748 .59022 L .85715 .5914 L Mistroke .89683 .59224 L .93651 .59286 L .97619 .59335 L Mfstroke P P p p .004 w s s s s s s s s s s s .08226 0 m .08342 .0034 L s .08342 .0034 m .10326 .04519 L .14294 .10617 L .18262 .15238 L .2223 .19152 L .26198 .22726 L .30165 .26185 L .34133 .29712 L .38101 .33492 L .42069 .37771 L .46037 .42939 L .50005 .49666 L .51989 .53829 L .52981 .56018 L .53973 .58055 L .54469 .58905 L .54717 .59262 L .54965 .59563 L .55213 .59801 L .55337 .59895 L .55461 .5997 L .55585 .60028 L .55709 .60067 L .55833 .60087 L .55957 .60089 L .56081 .60072 L .56205 .60036 L .56329 .59983 L .56453 .59912 L .56701 .5972 L .56949 .59467 L .57444 .5881 L .5794 .58 L .61908 .5067 L .65876 .4519 L .69844 .4126 L .73812 .38264 L .7778 .35864 L .81748 .3387 L .85715 .3217 L .89683 .3069 L .93651 .2938 L .97619 .28206 L s P P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Finally the response of the combined notch and the resonance filters is shown below (for the 10'th filter stage.) :[font = input; dontPreserveAspect; startGroup] ContinuousFreqResponse[OriginalResonator[10] * OriginalNotch[10], 10000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 9.52381e-05 0.603319 0.0100335 [ [(2000)] .21429 .60332 0 2 Msboxa [(4000)] .40476 .60332 0 2 Msboxa [(6000)] .59524 .60332 0 2 Msboxa [(8000)] .78571 .60332 0 2 Msboxa [(10000)] .97619 .60332 0 2 Msboxa [( Hz)] 1.025 .60332 -1 0 Msboxa [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(-60)] .01131 .00131 1 0 Msboxa [(-50)] .01131 .10164 1 0 Msboxa [(-40)] .01131 .20198 1 0 Msboxa [(-30)] .01131 .30231 1 0 Msboxa [(-20)] .01131 .40265 1 0 Msboxa [(-10)] .01131 .50298 1 0 Msboxa [(dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .21429 .60332 m .21429 .60957 L s P [(2000)] .21429 .60332 0 2 Mshowa p .002 w .40476 .60332 m .40476 .60957 L s P [(4000)] .40476 .60332 0 2 Mshowa p .002 w .59524 .60332 m .59524 .60957 L s P [(6000)] .59524 .60332 0 2 Mshowa p .002 w .78571 .60332 m .78571 .60957 L s P [(8000)] .78571 .60332 0 2 Mshowa p .002 w .97619 .60332 m .97619 .60957 L s P [(10000)] .97619 .60332 0 2 Mshowa p .001 w .0619 .60332 m .0619 .60707 L s P p .001 w .1 .60332 m .1 .60707 L s P p .001 w .1381 .60332 m .1381 .60707 L s P p .001 w .17619 .60332 m .17619 .60707 L s P p .001 w .25238 .60332 m .25238 .60707 L s P p .001 w .29048 .60332 m .29048 .60707 L s P p .001 w .32857 .60332 m .32857 .60707 L s P p .001 w .36667 .60332 m .36667 .60707 L s P p .001 w .44286 .60332 m .44286 .60707 L s P p .001 w .48095 .60332 m .48095 .60707 L s P p .001 w .51905 .60332 m .51905 .60707 L s P p .001 w .55714 .60332 m .55714 .60707 L s P p .001 w .63333 .60332 m .63333 .60707 L s P p .001 w .67143 .60332 m .67143 .60707 L s P p .001 w .70952 .60332 m .70952 .60707 L s P p .001 w .74762 .60332 m .74762 .60707 L s P p .001 w .82381 .60332 m .82381 .60707 L s P p .001 w .8619 .60332 m .8619 .60707 L s P p .001 w .9 .60332 m .9 .60707 L s P p .001 w .9381 .60332 m .9381 .60707 L s P [( Hz)] 1.025 .60332 -1 0 Mshowa p .002 w 0 .60332 m 1 .60332 L s P [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .00131 m .03006 .00131 L s P [(-60)] .01131 .00131 1 0 Mshowa p .002 w .02381 .10164 m .03006 .10164 L s P [(-50)] .01131 .10164 1 0 Mshowa p .002 w .02381 .20198 m .03006 .20198 L s P [(-40)] .01131 .20198 1 0 Mshowa p .002 w .02381 .30231 m .03006 .30231 L s P [(-30)] .01131 .30231 1 0 Mshowa p .002 w .02381 .40265 m .03006 .40265 L s P [(-20)] .01131 .40265 1 0 Mshowa p .002 w .02381 .50298 m .03006 .50298 L s P [(-10)] .01131 .50298 1 0 Mshowa p .001 w .02381 .02137 m .02756 .02137 L s P p .001 w .02381 .04144 m .02756 .04144 L s P p .001 w .02381 .06151 m .02756 .06151 L s P p .001 w .02381 .08158 m .02756 .08158 L s P p .001 w .02381 .12171 m .02756 .12171 L s P p .001 w .02381 .14178 m .02756 .14178 L s P p .001 w .02381 .16184 m .02756 .16184 L s P p .001 w .02381 .18191 m .02756 .18191 L s P p .001 w .02381 .22205 m .02756 .22205 L s P p .001 w .02381 .24211 m .02756 .24211 L s P p .001 w .02381 .26218 m .02756 .26218 L s P p .001 w .02381 .28225 m .02756 .28225 L s P p .001 w .02381 .32238 m .02756 .32238 L s P p .001 w .02381 .34245 m .02756 .34245 L s P p .001 w .02381 .36251 m .02756 .36251 L s P p .001 w .02381 .38258 m .02756 .38258 L s P p .001 w .02381 .42272 m .02756 .42272 L s P p .001 w .02381 .44278 m .02756 .44278 L s P p .001 w .02381 .46285 m .02756 .46285 L s P p .001 w .02381 .48292 m .02756 .48292 L s P p .001 w .02381 .52305 m .02756 .52305 L s P p .001 w .02381 .54312 m .02756 .54312 L s P p .001 w .02381 .56318 m .02756 .56318 L s P p .001 w .02381 .58325 m .02756 .58325 L s P [(dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w s s s s .028 0 m .02886 .01714 L s .02886 .01714 m .03134 .05194 L .03382 .07675 L .03878 .11184 L .04374 .13683 L .05366 .17218 L .06358 .1974 L .08342 .23328 L .10326 .25918 L .14294 .297 L .18262 .3257 L .2223 .35005 L .26198 .37232 L .30165 .39393 L .34133 .41599 L .38101 .43967 L .42069 .46645 L .46037 .49857 L .50005 .53925 L .51989 .56266 L .52981 .57361 L .53477 .57816 L .53725 .58003 L .53973 .58155 L .54097 .58215 L .54221 .58263 L .54345 .58298 L .54469 .58318 L .54593 .58323 L .54717 .5831 L .54841 .58279 L .54965 .58229 L .55089 .58157 L .55213 .58063 L .55461 .57799 L .55709 .57427 L .55957 .56932 L .56205 .56303 L .56453 .55524 L .56949 .53463 L .57444 .50633 L .5794 .47082 L .58188 .45316 L .58312 .44589 L .58436 .44053 L .5856 .43762 L .58684 .43728 L .58808 .43918 L .58932 .4427 L .5918 .45212 L Mistroke .59428 .46194 L .59676 .47066 L .59924 .47794 L .60172 .48384 L .6042 .48854 L .60668 .49223 L .60916 .4951 L .61164 .49728 L .61412 .49889 L .61536 .49952 L .6166 .50004 L .61784 .50046 L .61908 .5008 L .62032 .50106 L .62156 .50124 L .6228 .50136 L .62404 .50141 L .62528 .50142 L .62652 .50137 L .62776 .50127 L .629 .50113 L .63148 .50075 L .63396 .50023 L .63892 .49889 L .65876 .49132 L .69844 .47411 L .73812 .45871 L .7778 .44558 L .81748 .43431 L .85715 .4245 L .89683 .41586 L .93651 .40813 L .97619 .40116 L Mfstroke P P % End of Graphics MathPictureEnd :[font = subsection; inactive; dontPreserveAspect; startGroup] 2.6 - The Cascade-Only Model :[font = text; inactive; dontPreserveAspect] The latest version of the ear model combines the notch and resonator filters of each stage into a single filter. This gives a cascade-only representation of the ear model instead of the cascade-parallel version described above. Rearranging the filters does not change the the net result of the filtering; its only effect is to reduce the computational effort needed to model the cochlea. :[font = text; inactive; dontPreserveAspect] The pole-zero plots of the original model are shown again below. We have circled the poles and zeros that are combined to form each stage of the cascade-only filter bank. First note that every resonator includes a zero at DC. Since all the filters shown here are linear we can move the differentiator into an initial preemphasis stage. :[font = input; PICT; formatAsPICT; output; inactive; dontPreserveAspect; pictureWidth = 442; pictureHeight = 325; pictureID = 24852] :[font = text; inactive; dontPreserveAspect] A more important optimization is possible if the poles in each notch filter are combined with the poles in the previous resonator filter. This optimization is shown above. The zeros from each notch filter and the poles from a resonator and the next notch filter are rearranged into a single filter. This is possible because the locations of the poles in the resonator filters were chosen to be at the same location as the poles in the succeeding notch filter. :[font = text; inactive; dontPreserveAspect] The new cascade-only ear filter has an initial stage that combines the effects of the outer and middle ears, the differentiator (zero at DC) that was originally part of the resonator and a pair of poles from what was the first stage. Each succeeding stage is a pair of poles and a pair of zeros and the output of each stage is input to not only the next stage in the cascade but also the detection blocks (HWR). :[font = text; inactive; dontPreserveAspect] The cascade-only filter structure has slightly different parameters. We repeat the following equations with several small changes. Like before the center frequency of each stage is described by the location of the poles. This means the center frequency of the associated zero is an extra channel higher than the pole frequency therefore EarZeroOffset changes from 0.5 to 1.5. ;[s] 3:0,0;340,1;353,0;379,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) CascadeZeroCF[cf_] := cf + EarBandwidth[cf]*EarStepFactor* EarZeroOffset (* :[font = input; initialization; dontPreserveAspect] *) EarZeroOffset = 1.5; (* :[font = input; initialization; dontPreserveAspect] *) CascadeZeroQ[cf_] := EarSharpness*CascadeZeroCF[cf]/ EarBandwidth[cf] (* :[font = input; initialization; dontPreserveAspect] *) EarSharpness = 5.0; (* :[font = input; initialization; dontPreserveAspect] *) CascadePoleCF[cf_] := cf (* :[font = input; initialization; dontPreserveAspect] *) CascadePoleQ[cf_] := cf / EarBandwidth[cf] (* :[font = text; inactive; dontPreserveAspect] We define a new version of EarChannelCF that is based on a sampled version of the ear model. Now the maximum channel frequency is a function of the Nyquist rate (fs/2) and the location of the zeros in the first stage of filtering. ;[s] 5:0,0;27,1;39,0;164,1;166,0;236,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) MaximumEarCF[fs_] := Block[{topf}, topf = fs / 2.0; topf - (CascadeZeroCF[topf]-topf) + EarBandwidth[topf] EarStepFactor] (* :[font = text; inactive; dontPreserveAspect] Starting at the MaximumEarCF (index = 0) the center frequency of each channel decreases by EarStepFactor of the bandwidth at the previous stage. [Note that since the EarChannelCF function is used everywhere in the ear model we have used a Mathematica technique known as dynamic programming (or caching) to remember previously calculated values in an array. Later, if we want to find the center frequency of an already computed filter section, we only need to look in the array.] ;[s] 11:0,0;16,1;28,0;30,1;39,0;91,1;104,0;168,1;180,0;241,2;252,0;483,-1; 3:6,17,12,Geneva,0,12,0,0,0;4,17,12,Geneva,1,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) EarChannelCF[index_, fs_] := EarChannelCF[index,fs] = If [ index <= 0, MaximumEarCF[fs], Block[{cf}, cf = EarChannelCF[index-1, fs]; cf - EarStepFactor EarBandwidth[cf]]] (* :[font = text; inactive; dontPreserveAspect] Note that this expression is a function of the sampling frequency (fs). To prevent aliasing it is important that the zero in the first stage be below the Nyquist rate. ;[s] 3:0,0;67,1;69,0;169,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] CascadeZeroCF[EarChannelCF[1,16000]] :[font = output; output; inactive; dontPreserveAspect; endGroup] 7986.515871614846 ;[o] 7986.52 :[font = text; inactive; dontPreserveAspect] The center frequency of each stage in the cascade-only filter bank is shown below. :[font = input; closed; dontPreserveAspect; startGroup] ListPlot[Table[EarChannelCF[index,16000], {index,1,85}], PlotLabel->" Center Frequency", AxesLabel->{" Stage Index","(Hz)"}]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.0112045 0.0147151 7.71839e-05 [ [(20)] .2479 .01472 0 2 Msboxa [(40)] .47199 .01472 0 2 Msboxa [(60)] .69608 .01472 0 2 Msboxa [(80)] .92017 .01472 0 2 Msboxa [( Stage Index)] 1.025 .01472 -1 0 Msboxa [( Center Frequency)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(2000)] .01131 .16908 1 0 Msboxa [(4000)] .01131 .32345 1 0 Msboxa [(6000)] .01131 .47782 1 0 Msboxa [(\(Hz\))] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2479 .01472 m .2479 .02097 L s P [(20)] .2479 .01472 0 2 Mshowa p .002 w .47199 .01472 m .47199 .02097 L s P [(40)] .47199 .01472 0 2 Mshowa p .002 w .69608 .01472 m .69608 .02097 L s P [(60)] .69608 .01472 0 2 Mshowa p .002 w .92017 .01472 m .92017 .02097 L s P [(80)] .92017 .01472 0 2 Mshowa p .001 w .06863 .01472 m .06863 .01847 L s P p .001 w .11345 .01472 m .11345 .01847 L s P p .001 w .15826 .01472 m .15826 .01847 L s P p .001 w .20308 .01472 m .20308 .01847 L s P p .001 w .29272 .01472 m .29272 .01847 L s P p .001 w .33754 .01472 m .33754 .01847 L s P p .001 w .38235 .01472 m .38235 .01847 L s P p .001 w .42717 .01472 m .42717 .01847 L s P p .001 w .51681 .01472 m .51681 .01847 L s P p .001 w .56162 .01472 m .56162 .01847 L s P p .001 w .60644 .01472 m .60644 .01847 L s P p .001 w .65126 .01472 m .65126 .01847 L s P p .001 w .7409 .01472 m .7409 .01847 L s P p .001 w .78571 .01472 m .78571 .01847 L s P p .001 w .83053 .01472 m .83053 .01847 L s P p .001 w .87535 .01472 m .87535 .01847 L s P p .001 w .96499 .01472 m .96499 .01847 L s P [( Stage Index)] 1.025 .01472 -1 0 Mshowa p .002 w 0 .01472 m 1 .01472 L s P [( Center Frequency)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .16908 m .03006 .16908 L s P [(2000)] .01131 .16908 1 0 Mshowa p .002 w .02381 .32345 m .03006 .32345 L s P [(4000)] .01131 .32345 1 0 Mshowa p .002 w .02381 .47782 m .03006 .47782 L s P [(6000)] .01131 .47782 1 0 Mshowa p .001 w .02381 .04559 m .02756 .04559 L s P p .001 w .02381 .07646 m .02756 .07646 L s P p .001 w .02381 .10734 m .02756 .10734 L s P p .001 w .02381 .13821 m .02756 .13821 L s P p .001 w .02381 .19996 m .02756 .19996 L s P p .001 w .02381 .23083 m .02756 .23083 L s P p .001 w .02381 .2617 m .02756 .2617 L s P p .001 w .02381 .29258 m .02756 .29258 L s P p .001 w .02381 .35432 m .02756 .35432 L s P p .001 w .02381 .3852 m .02756 .3852 L s P p .001 w .02381 .41607 m .02756 .41607 L s P p .001 w .02381 .44695 m .02756 .44695 L s P p .001 w .02381 .50869 m .02756 .50869 L s P p .001 w .02381 .53957 m .02756 .53957 L s P p .001 w .02381 .57044 m .02756 .57044 L s P p .001 w .02381 .60131 m .02756 .60131 L s P [(\(Hz\))] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p .008 w .03501 .60332 Mdot .04622 .58477 Mdot .05742 .56679 Mdot .06863 .54937 Mdot .07983 .53249 Mdot .09104 .51613 Mdot .10224 .50028 Mdot .11345 .48491 Mdot .12465 .47002 Mdot .13585 .45559 Mdot .14706 .4416 Mdot .15826 .42805 Mdot .16947 .41491 Mdot .18067 .40217 Mdot .19188 .38982 Mdot .20308 .37786 Mdot .21429 .36626 Mdot .22549 .35501 Mdot .23669 .3441 Mdot .2479 .33353 Mdot .2591 .32328 Mdot .27031 .31334 Mdot .28151 .3037 Mdot .29272 .29435 Mdot .30392 .28529 Mdot .31513 .2765 Mdot .32633 .26797 Mdot .33754 .25969 Mdot .34874 .25167 Mdot .35994 .24388 Mdot .37115 .23632 Mdot .38235 .22899 Mdot .39356 .22187 Mdot .40476 .21496 Mdot .41597 .20826 Mdot .42717 .20175 Mdot .43838 .19542 Mdot .44958 .18928 Mdot .46078 .18332 Mdot .47199 .17752 Mdot .48319 .17189 Mdot .4944 .16642 Mdot .5056 .1611 Mdot .51681 .15593 Mdot .52801 .1509 Mdot .53922 .14601 Mdot .55042 .14125 Mdot .56162 .13662 Mdot .57283 .13211 Mdot .58403 .12772 Mdot .59524 .12344 Mdot .60644 .11928 Mdot .61765 .11521 Mdot .62885 .11125 Mdot .64006 .10739 Mdot .65126 .10362 Mdot .66246 .09994 Mdot .67367 .09635 Mdot .68487 .09284 Mdot .69608 .08941 Mdot .70728 .08605 Mdot .71849 .08277 Mdot .72969 .07955 Mdot .7409 .0764 Mdot .7521 .07331 Mdot .76331 .07028 Mdot .77451 .06731 Mdot .78571 .06439 Mdot .79692 .06153 Mdot .80812 .0587 Mdot .81933 .05593 Mdot .83053 .05319 Mdot .84174 .0505 Mdot .85294 .04784 Mdot .86415 .04522 Mdot .87535 .04262 Mdot .88655 .04006 Mdot .89776 .03752 Mdot .90896 .035 Mdot .92017 .03251 Mdot .93137 .03003 Mdot .94258 .02758 Mdot .95378 .02513 Mdot .96499 .0227 Mdot .97619 .02027 Mdot P % End of Graphics MathPictureEnd :[font = subsubsection; inactive; dontPreserveAspect; startGroup] Test Code :[font = text; inactive; dontPreserveAspect] The following is some test code to show that the Mathematica definitions above are working correctly. ;[s] 3:0,0;49,1;60,0;102,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] samplingfrequency=16000 :[font = output; output; inactive; dontPreserveAspect; endGroup] 16000 ;[o] 16000 :[font = input; dontPreserveAspect; startGroup] cf=EarChannelCF[1,samplingfrequency] :[font = output; output; inactive; dontPreserveAspect; endGroup] 7625.987437442521 ;[o] 7625.99 :[font = input; dontPreserveAspect; startGroup] EarBandwidth[cf] :[font = output; output; inactive; dontPreserveAspect; endGroup] 961.409157792865 ;[o] 961.409 :[font = input; dontPreserveAspect; startGroup] CascadeZeroCF[cf] :[font = output; output; inactive; dontPreserveAspect; endGroup] 7986.515871614846 ;[o] 7986.52 :[font = input; dontPreserveAspect; startGroup] CascadeZeroQ[cf] :[font = output; output; inactive; dontPreserveAspect; endGroup] 41.53546805165514 ;[o] 41.5355 :[font = input; dontPreserveAspect; startGroup] CascadePoleCF[cf] :[font = output; output; inactive; dontPreserveAspect; endGroup] 7625.987437442521 ;[o] 7625.99 :[font = input; dontPreserveAspect; startGroup] CascadePoleQ[cf] :[font = output; output; inactive; dontPreserveAspect; endGroup; endGroup; endGroup] 7.932093610331027 ;[o] 7.93209 :[font = section; inactive; pageBreak; dontPreserveAspect; startGroup] 3 - The Cochlea Filter Bank :[font = text; inactive; dontPreserveAspect] This section describes the cascade of filters that define the ear model. As described above there is an initial preemphasis stage followed by the cascade of ear filter stages. This section will define the preemphasis stage, each of the cochlea stages and then show their combined frequency response. In the remainder of this report we will describe the filters in the z-domain. Again, see the Appendix of this report for the definitions of the filter design functions used here. :[font = subsection; inactive; dontPreserveAspect; startGroup] 3.1 - Preemphasis Stage :[font = text; inactive; dontPreserveAspect] Our model of the ear uses a simple preemphasis filter to roughly model the effects of the outer and middle ear. This is followed by a differentiator and a high frequency compensator that are common to all of the stages. Finally, there is a string of second order filters to model each section of the cochlea. :[font = text; inactive; dontPreserveAspect] The outer and middle ear add a slight high pass response to the system. This initial high pass filter also helps to normalize (or whiten) the input to the inner ear and makes it easier to display the resulting output. The outer and middle ears are modelled here with a high pass filter with a corner frequency of 300 Hz. :[font = input; initialization; dontPreserveAspect] *) EarPremphCorner = 300.0; (* :[font = input; initialization; dontPreserveAspect] *) OuterMiddleEarFilter[fs_] := MakeFilter[FirstOrderFromCorner[EarPremphCorner,fs], MakePoly[{1}], fs, 0, 1.0] (* :[font = input; dontPreserveAspect; startGroup] OuterMiddleEarFilter[16000]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] 8.99807883839288*(1. - 0.888865165780365*z) ;[o] 8.99808 (1. - 0.888865 z) :[font = input; dontPreserveAspect; startGroup] FreqResponse[OuterMiddleEarFilter[16000],16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.0147151 0.0239202 [ [(2000)] .26238 .01472 0 2 Msboxa [(4000)] .50095 .01472 0 2 Msboxa [(6000)] .73953 .01472 0 2 Msboxa [(8000)] .9781 .01472 0 2 Msboxa [( f)] 1.025 .01472 -1 0 Msboxa [(5)] .01131 .13432 1 0 Msboxa [(10)] .01131 .25392 1 0 Msboxa [(15)] .01131 .37352 1 0 Msboxa [(20)] .01131 .49312 1 0 Msboxa [(25)] .01131 .61272 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .01472 m .26238 .02097 L s P [(2000)] .26238 .01472 0 2 Mshowa p .002 w .50095 .01472 m .50095 .02097 L s P [(4000)] .50095 .01472 0 2 Mshowa p .002 w .73953 .01472 m .73953 .02097 L s P [(6000)] .73953 .01472 0 2 Mshowa p .002 w .9781 .01472 m .9781 .02097 L s P [(8000)] .9781 .01472 0 2 Mshowa p .001 w .07152 .01472 m .07152 .01847 L s P p .001 w .11924 .01472 m .11924 .01847 L s P p .001 w .16695 .01472 m .16695 .01847 L s P p .001 w .21467 .01472 m .21467 .01847 L s P p .001 w .3101 .01472 m .3101 .01847 L s P p .001 w .35781 .01472 m .35781 .01847 L s P p .001 w .40553 .01472 m .40553 .01847 L s P p .001 w .45324 .01472 m .45324 .01847 L s P p .001 w .54867 .01472 m .54867 .01847 L s P p .001 w .59638 .01472 m .59638 .01847 L s P p .001 w .6441 .01472 m .6441 .01847 L s P p .001 w .69181 .01472 m .69181 .01847 L s P p .001 w .78724 .01472 m .78724 .01847 L s P p .001 w .83496 .01472 m .83496 .01847 L s P p .001 w .88267 .01472 m .88267 .01847 L s P p .001 w .93038 .01472 m .93038 .01847 L s P [( f)] 1.025 .01472 -1 0 Mshowa p .002 w 0 .01472 m 1 .01472 L s P p .002 w .02381 .13432 m .03006 .13432 L s P [(5)] .01131 .13432 1 0 Mshowa p .002 w .02381 .25392 m .03006 .25392 L s P [(10)] .01131 .25392 1 0 Mshowa p .002 w .02381 .37352 m .03006 .37352 L s P [(15)] .01131 .37352 1 0 Mshowa p .002 w .02381 .49312 m .03006 .49312 L s P [(20)] .01131 .49312 1 0 Mshowa p .002 w .02381 .61272 m .03006 .61272 L s P [(25)] .01131 .61272 1 0 Mshowa p .001 w .02381 .03864 m .02756 .03864 L s P p .001 w .02381 .06256 m .02756 .06256 L s P p .001 w .02381 .08648 m .02756 .08648 L s P p .001 w .02381 .1104 m .02756 .1104 L s P p .001 w .02381 .15824 m .02756 .15824 L s P p .001 w .02381 .18216 m .02756 .18216 L s P p .001 w .02381 .20608 m .02756 .20608 L s P p .001 w .02381 .23 m .02756 .23 L s P p .001 w .02381 .27784 m .02756 .27784 L s P p .001 w .02381 .30176 m .02756 .30176 L s P p .001 w .02381 .32568 m .02756 .32568 L s P p .001 w .02381 .3496 m .02756 .3496 L s P p .001 w .02381 .39744 m .02756 .39744 L s P p .001 w .02381 .42136 m .02756 .42136 L s P p .001 w .02381 .44528 m .02756 .44528 L s P p .001 w .02381 .4692 m .02756 .4692 L s P p .001 w .02381 .51704 m .02756 .51704 L s P p .001 w .02381 .54096 m .02756 .54096 L s P p .001 w .02381 .56488 m .02756 .56488 L s P p .001 w .02381 .5888 m .02756 .5888 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .01472 m .06361 .09819 L .10328 .19908 L .14296 .27227 L .18264 .32712 L .22232 .37029 L .26199 .40551 L .30167 .43497 L .34135 .46005 L .38103 .48168 L .4207 .50049 L .46038 .51694 L .50006 .53137 L .53974 .54404 L .57941 .55516 L .61909 .56487 L .65877 .57331 L .69845 .58057 L .73813 .58673 L .7778 .59186 L .81748 .596 L .85716 .59919 L .877 .60044 L .89684 .60146 L .91667 .60226 L .92659 .60257 L .93651 .60283 L .94643 .60304 L .95139 .60312 L .95635 .60319 L .96131 .60324 L .96379 .60326 L .96627 .60328 L .96875 .6033 L .96999 .6033 L .97123 .60331 L .97247 .60331 L .97371 .60331 L .97495 .60332 L .97619 .60332 L s P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Each stage of the cascade-parallel filter bank described in [Lyon82] uses a differentiator to convert pressure waves into basilar membrane motion. Each differentiator is adjusted so that at the center frequency of the stage the differentiator has unity gain. In this model we have "factored" this differentiator out of each stage and it appears just once before the ear cascade (a term of the form 1-z). Later when we define the stages of the cascade we will adjust the gain of each stage so that the differeniator has unity gain at its center frequency. In addition we combine the differentiator with a zero at the Nyquist rate (1+z) to compensate for the close spacing of the poles near z=-1 for high frequencies. This combined filter looks like: ;[s] 5:0,0;399,1;403,0;635,1;638,0;756,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) Compensator[fs_] := MakeFilter[MakePoly[{1,0,-1}], MakePoly[{1}], fs, fs/4, 1.0] (* :[font = input; dontPreserveAspect; startGroup] Compensator[16000] :[font = output; output; inactive; dontPreserveAspect; endGroup] 0.5*(1 - z^2) ;[o] 2 0.5 (1 - z ) :[font = text; inactive; dontPreserveAspect] In the frequency domain the response looks like: :[font = input; dontPreserveAspect; startGroup] FreqResponse[Compensator[16000],16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.603319 0.00864084 [ [(2000)] .26238 .60332 0 2 Msboxa [(4000)] .50095 .60332 0 2 Msboxa [(6000)] .73953 .60332 0 2 Msboxa [(8000)] .9781 .60332 0 2 Msboxa [( f)] 1.025 .60332 -1 0 Msboxa [(-60)] .01131 .08487 1 0 Msboxa [(-50)] .01131 .17128 1 0 Msboxa [(-40)] .01131 .25769 1 0 Msboxa [(-30)] .01131 .34409 1 0 Msboxa [(-20)] .01131 .4305 1 0 Msboxa [(-10)] .01131 .51691 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .60332 m .26238 .60957 L s P [(2000)] .26238 .60332 0 2 Mshowa p .002 w .50095 .60332 m .50095 .60957 L s P [(4000)] .50095 .60332 0 2 Mshowa p .002 w .73953 .60332 m .73953 .60957 L s P [(6000)] .73953 .60332 0 2 Mshowa p .002 w .9781 .60332 m .9781 .60957 L s P [(8000)] .9781 .60332 0 2 Mshowa p .001 w .07152 .60332 m .07152 .60707 L s P p .001 w .11924 .60332 m .11924 .60707 L s P p .001 w .16695 .60332 m .16695 .60707 L s P p .001 w .21467 .60332 m .21467 .60707 L s P p .001 w .3101 .60332 m .3101 .60707 L s P p .001 w .35781 .60332 m .35781 .60707 L s P p .001 w .40553 .60332 m .40553 .60707 L s P p .001 w .45324 .60332 m .45324 .60707 L s P p .001 w .54867 .60332 m .54867 .60707 L s P p .001 w .59638 .60332 m .59638 .60707 L s P p .001 w .6441 .60332 m .6441 .60707 L s P p .001 w .69181 .60332 m .69181 .60707 L s P p .001 w .78724 .60332 m .78724 .60707 L s P p .001 w .83496 .60332 m .83496 .60707 L s P p .001 w .88267 .60332 m .88267 .60707 L s P p .001 w .93038 .60332 m .93038 .60707 L s P [( f)] 1.025 .60332 -1 0 Mshowa p .002 w 0 .60332 m 1 .60332 L s P p .002 w .02381 .08487 m .03006 .08487 L s P [(-60)] .01131 .08487 1 0 Mshowa p .002 w .02381 .17128 m .03006 .17128 L s P [(-50)] .01131 .17128 1 0 Mshowa p .002 w .02381 .25769 m .03006 .25769 L s P [(-40)] .01131 .25769 1 0 Mshowa p .002 w .02381 .34409 m .03006 .34409 L s P [(-30)] .01131 .34409 1 0 Mshowa p .002 w .02381 .4305 m .03006 .4305 L s P [(-20)] .01131 .4305 1 0 Mshowa p .002 w .02381 .51691 m .03006 .51691 L s P [(-10)] .01131 .51691 1 0 Mshowa p .001 w .02381 .01574 m .02756 .01574 L s P p .001 w .02381 .03302 m .02756 .03302 L s P p .001 w .02381 .05031 m .02756 .05031 L s P p .001 w .02381 .06759 m .02756 .06759 L s P p .001 w .02381 .10215 m .02756 .10215 L s P p .001 w .02381 .11943 m .02756 .11943 L s P p .001 w .02381 .13671 m .02756 .13671 L s P p .001 w .02381 .154 m .02756 .154 L s P p .001 w .02381 .18856 m .02756 .18856 L s P p .001 w .02381 .20584 m .02756 .20584 L s P p .001 w .02381 .22312 m .02756 .22312 L s P p .001 w .02381 .2404 m .02756 .2404 L s P p .001 w .02381 .27497 m .02756 .27497 L s P p .001 w .02381 .29225 m .02756 .29225 L s P p .001 w .02381 .30953 m .02756 .30953 L s P p .001 w .02381 .32681 m .02756 .32681 L s P p .001 w .02381 .36138 m .02756 .36138 L s P p .001 w .02381 .37866 m .02756 .37866 L s P p .001 w .02381 .39594 m .02756 .39594 L s P p .001 w .02381 .41322 m .02756 .41322 L s P p .001 w .02381 .44778 m .02756 .44778 L s P p .001 w .02381 .46507 m .02756 .46507 L s P p .001 w .02381 .48235 m .02756 .48235 L s P p .001 w .02381 .49963 m .02756 .49963 L s P p .001 w .02381 .53419 m .02756 .53419 L s P p .001 w .02381 .55147 m .02756 .55147 L s P p .001 w .02381 .56876 m .02756 .56876 L s P p .001 w .02381 .58604 m .02756 .58604 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .01472 m .02517 .19733 L .02641 .24598 L .02765 .27526 L .02889 .29626 L .03137 .3261 L .03385 .34739 L .03881 .37751 L .04377 .39892 L .05369 .42914 L .06361 .45056 L .07353 .46714 L .08345 .48065 L .10328 .50183 L .12312 .51807 L .14296 .53115 L .18264 .5512 L .22232 .56597 L .26199 .57721 L .30167 .58586 L .34135 .59244 L .36119 .59508 L .38103 .59731 L .40087 .59917 L .4207 .60067 L .44054 .60182 L .45046 .60228 L .46038 .60265 L .4703 .60294 L .47526 .60305 L .48022 .60314 L .48518 .60322 L .48766 .60325 L .49014 .60327 L .49262 .60329 L .49386 .6033 L .4951 .6033 L .49634 .60331 L .49758 .60331 L .49882 .60332 L .50006 .60332 L .5013 .60332 L .50254 .60332 L .50378 .60332 L .50502 .60331 L .50626 .60331 L .5075 .6033 L .50998 .60329 L .51246 .60327 L .51494 .60324 L Mistroke .5199 .60317 L .52486 .60309 L .52982 .60298 L .53974 .60271 L .54966 .60235 L .55958 .60191 L .57941 .60079 L .59925 .59932 L .61909 .59749 L .65877 .5927 L .69845 .58619 L .73813 .57765 L .7778 .56654 L .81748 .55196 L .83732 .54289 L .85716 .53221 L .877 .51936 L .89684 .50346 L .91667 .48284 L .92659 .46977 L .93651 .45384 L .94643 .43349 L .95139 .42074 L .95635 .40536 L .96131 .38596 L .96379 .37397 L .96627 .35969 L .96875 .34204 L .96999 .33136 L .97123 .31891 L .97247 .30397 L .97371 .2853 L .97495 .26038 L .97619 .22281 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Combining the outer/middle ear filter and the compensator the total response is: :[font = input; dontPreserveAspect; startGroup] FreqResponse[Compensator[16000] OuterMiddleEarFilter[16000], 16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.457945 0.00650672 [ [(2000)] .26238 .45795 0 2 Msboxa [(4000)] .50095 .45795 0 2 Msboxa [(6000)] .73953 .45795 0 2 Msboxa [(8000)] .9781 .45795 0 2 Msboxa [( f)] 1.025 .45795 -1 0 Msboxa [(-60)] .01131 .06754 1 0 Msboxa [(-40)] .01131 .19768 1 0 Msboxa [(-20)] .01131 .32781 1 0 Msboxa [(20)] .01131 .58808 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .45795 m .26238 .4642 L s P [(2000)] .26238 .45795 0 2 Mshowa p .002 w .50095 .45795 m .50095 .4642 L s P [(4000)] .50095 .45795 0 2 Mshowa p .002 w .73953 .45795 m .73953 .4642 L s P [(6000)] .73953 .45795 0 2 Mshowa p .002 w .9781 .45795 m .9781 .4642 L s P [(8000)] .9781 .45795 0 2 Mshowa p .001 w .07152 .45795 m .07152 .4617 L s P p .001 w .11924 .45795 m .11924 .4617 L s P p .001 w .16695 .45795 m .16695 .4617 L s P p .001 w .21467 .45795 m .21467 .4617 L s P p .001 w .3101 .45795 m .3101 .4617 L s P p .001 w .35781 .45795 m .35781 .4617 L s P p .001 w .40553 .45795 m .40553 .4617 L s P p .001 w .45324 .45795 m .45324 .4617 L s P p .001 w .54867 .45795 m .54867 .4617 L s P p .001 w .59638 .45795 m .59638 .4617 L s P p .001 w .6441 .45795 m .6441 .4617 L s P p .001 w .69181 .45795 m .69181 .4617 L s P p .001 w .78724 .45795 m .78724 .4617 L s P p .001 w .83496 .45795 m .83496 .4617 L s P p .001 w .88267 .45795 m .88267 .4617 L s P p .001 w .93038 .45795 m .93038 .4617 L s P [( f)] 1.025 .45795 -1 0 Mshowa p .002 w 0 .45795 m 1 .45795 L s P p .002 w .02381 .06754 m .03006 .06754 L s P [(-60)] .01131 .06754 1 0 Mshowa p .002 w .02381 .19768 m .03006 .19768 L s P [(-40)] .01131 .19768 1 0 Mshowa p .002 w .02381 .32781 m .03006 .32781 L s P [(-20)] .01131 .32781 1 0 Mshowa p .002 w .02381 .58808 m .03006 .58808 L s P [(20)] .01131 .58808 1 0 Mshowa p .001 w .02381 .09357 m .02756 .09357 L s P p .001 w .02381 .1196 m .02756 .1196 L s P p .001 w .02381 .14562 m .02756 .14562 L s P p .001 w .02381 .17165 m .02756 .17165 L s P p .001 w .02381 .2237 m .02756 .2237 L s P p .001 w .02381 .24973 m .02756 .24973 L s P p .001 w .02381 .27576 m .02756 .27576 L s P p .001 w .02381 .30178 m .02756 .30178 L s P p .001 w .02381 .35384 m .02756 .35384 L s P p .001 w .02381 .37986 m .02756 .37986 L s P p .001 w .02381 .40589 m .02756 .40589 L s P p .001 w .02381 .43192 m .02756 .43192 L s P p .001 w .02381 .48397 m .02756 .48397 L s P p .001 w .02381 .51 m .02756 .51 L s P p .001 w .02381 .53603 m .02756 .53603 L s P p .001 w .02381 .56205 m .02756 .56205 L s P p .001 w .02381 .04151 m .02756 .04151 L s P p .001 w .02381 .01549 m .02756 .01549 L s P p .001 w .02381 .61411 m .02756 .61411 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .01472 m .02517 .15227 L .02641 .18901 L .02765 .21123 L .02889 .22729 L .03137 .25043 L .03385 .26736 L .03881 .29247 L .04377 .31167 L .05369 .34171 L .06361 .36562 L .08345 .40304 L .10328 .43167 L .14296 .47366 L .18264 .50368 L .22232 .52654 L .26199 .54459 L .30167 .55911 L .34135 .5709 L .38103 .58044 L .4207 .58809 L .46038 .59405 L .48022 .59645 L .50006 .59848 L .5199 .60015 L .53974 .60147 L .54966 .602 L .55958 .60243 L .5695 .60279 L .57446 .60293 L .57941 .60305 L .58437 .60315 L .58933 .60322 L .59181 .60325 L .59429 .60328 L .59553 .60329 L .59677 .6033 L .59801 .6033 L .59925 .60331 L .60049 .60331 L .60173 .60332 L .60297 .60332 L .60421 .60332 L .60545 .60332 L .60669 .60332 L .60793 .60331 L .60917 .60331 L .61165 .60329 L .61413 .60327 L .61909 .60321 L Mistroke .62405 .60313 L .62901 .60302 L .63893 .60274 L .64885 .60237 L .65877 .6019 L .67861 .60065 L .69845 .59897 L .71829 .59684 L .73813 .59422 L .7778 .58725 L .79764 .58274 L .81748 .57739 L .83732 .57103 L .85716 .56338 L .877 .55405 L .89684 .54236 L .91667 .52704 L .92659 .51729 L .93651 .50537 L .94643 .49009 L .95139 .48052 L .95635 .46895 L .96131 .45436 L .96379 .44534 L .96627 .43459 L .96875 .4213 L .96999 .41326 L .97123 .40389 L .97247 .39264 L .97371 .37858 L .97495 .35981 L .97619 .33152 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Finally we can combine these initial stages with the first two poles of the ear filters. The first stage of the cascade is a combination of the outer/middle ear filter, the compensator and a pole pair. :[font = input; initialization; dontPreserveAspect] *) EarFrontFilter[fs_] := (OuterMiddleEarFilter[fs] Compensator[fs] MakeFilter[MakePoly[{1}], SecondOrderFromCenterQ[ CascadePoleCF[MaximumEarCF[fs]], CascadePoleQ[MaximumEarCF[fs]], fs], fs, fs/4, 1.0]) (* :[font = text; inactive; dontPreserveAspect] The combined initial filters and first two poles of the ear filter have the response shown below. :[font = input; dontPreserveAspect; startGroup] EarFrontFilter[16000]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] ((-1.451776061605133 + 7.39388970724552*I)* (1. - 0.888865165780365*z)*(1. - 1.*z^2))/ (0.6773142161389575 + 1.643437413705994*z + z^2) ;[o] 2 (-1.45178 + 7.39389 I) (1. - 0.888865 z) (1. - 1. z ) ----------------------------------------------------- 2 0.677314 + 1.64344 z + z :[font = input; dontPreserveAspect; startGroup] FreqResponse[EarFrontFilter[16000],16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.400742 0.00521206 [ [(2000)] .26238 .40074 0 2 Msboxa [(4000)] .50095 .40074 0 2 Msboxa [(6000)] .73953 .40074 0 2 Msboxa [(8000)] .9781 .40074 0 2 Msboxa [( f)] 1.025 .40074 -1 0 Msboxa [(-60)] .01131 .08802 1 0 Msboxa [(-40)] .01131 .19226 1 0 Msboxa [(-20)] .01131 .2965 1 0 Msboxa [(20)] .01131 .50498 1 0 Msboxa [(40)] .01131 .60922 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .40074 m .26238 .40699 L s P [(2000)] .26238 .40074 0 2 Mshowa p .002 w .50095 .40074 m .50095 .40699 L s P [(4000)] .50095 .40074 0 2 Mshowa p .002 w .73953 .40074 m .73953 .40699 L s P [(6000)] .73953 .40074 0 2 Mshowa p .002 w .9781 .40074 m .9781 .40699 L s P [(8000)] .9781 .40074 0 2 Mshowa p .001 w .07152 .40074 m .07152 .40449 L s P p .001 w .11924 .40074 m .11924 .40449 L s P p .001 w .16695 .40074 m .16695 .40449 L s P p .001 w .21467 .40074 m .21467 .40449 L s P p .001 w .3101 .40074 m .3101 .40449 L s P p .001 w .35781 .40074 m .35781 .40449 L s P p .001 w .40553 .40074 m .40553 .40449 L s P p .001 w .45324 .40074 m .45324 .40449 L s P p .001 w .54867 .40074 m .54867 .40449 L s P p .001 w .59638 .40074 m .59638 .40449 L s P p .001 w .6441 .40074 m .6441 .40449 L s P p .001 w .69181 .40074 m .69181 .40449 L s P p .001 w .78724 .40074 m .78724 .40449 L s P p .001 w .83496 .40074 m .83496 .40449 L s P p .001 w .88267 .40074 m .88267 .40449 L s P p .001 w .93038 .40074 m .93038 .40449 L s P [( f)] 1.025 .40074 -1 0 Mshowa p .002 w 0 .40074 m 1 .40074 L s P p .002 w .02381 .08802 m .03006 .08802 L s P [(-60)] .01131 .08802 1 0 Mshowa p .002 w .02381 .19226 m .03006 .19226 L s P [(-40)] .01131 .19226 1 0 Mshowa p .002 w .02381 .2965 m .03006 .2965 L s P [(-20)] .01131 .2965 1 0 Mshowa p .002 w .02381 .50498 m .03006 .50498 L s P [(20)] .01131 .50498 1 0 Mshowa p .002 w .02381 .60922 m .03006 .60922 L s P [(40)] .01131 .60922 1 0 Mshowa p .001 w .02381 .10887 m .02756 .10887 L s P p .001 w .02381 .12971 m .02756 .12971 L s P p .001 w .02381 .15056 m .02756 .15056 L s P p .001 w .02381 .17141 m .02756 .17141 L s P p .001 w .02381 .21311 m .02756 .21311 L s P p .001 w .02381 .23396 m .02756 .23396 L s P p .001 w .02381 .2548 m .02756 .2548 L s P p .001 w .02381 .27565 m .02756 .27565 L s P p .001 w .02381 .31735 m .02756 .31735 L s P p .001 w .02381 .3382 m .02756 .3382 L s P p .001 w .02381 .35905 m .02756 .35905 L s P p .001 w .02381 .37989 m .02756 .37989 L s P p .001 w .02381 .42159 m .02756 .42159 L s P p .001 w .02381 .44244 m .02756 .44244 L s P p .001 w .02381 .46329 m .02756 .46329 L s P p .001 w .02381 .48413 m .02756 .48413 L s P p .001 w .02381 .52583 m .02756 .52583 L s P p .001 w .02381 .54668 m .02756 .54668 L s P p .001 w .02381 .56753 m .02756 .56753 L s P p .001 w .02381 .58838 m .02756 .58838 L s P p .001 w .02381 .06717 m .02756 .06717 L s P p .001 w .02381 .04632 m .02756 .04632 L s P p .001 w .02381 .02547 m .02756 .02547 L s P p .001 w .02381 .00463 m .02756 .00463 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .01472 m .02517 .1249 L .02641 .15433 L .02765 .17213 L .02889 .185 L .03137 .20353 L .03385 .2171 L .03881 .23723 L .04377 .25264 L .05369 .27675 L .06361 .296 L .08345 .3262 L .10328 .34948 L .14296 .38408 L .18264 .40949 L .22232 .42958 L .26199 .44624 L .30167 .46052 L .34135 .47308 L .38103 .48435 L .4207 .49465 L .46038 .5042 L .50006 .51319 L .53974 .52176 L .57941 .53006 L .61909 .53821 L .65877 .54635 L .69845 .55461 L .73813 .56315 L .7778 .57216 L .81748 .58178 L .85716 .59194 L .877 .5969 L .88692 .59918 L .89684 .60116 L .9018 .60198 L .90427 .60234 L .90675 .60265 L .90923 .60291 L .91047 .60302 L .91171 .60311 L .91295 .60319 L .91419 .60325 L .91543 .60329 L .91667 .60332 L .91791 .60332 L .91915 .6033 L .92039 .60326 L .92163 .60319 L .92287 .6031 L Mistroke .92411 .60299 L .92659 .60266 L .92907 .6022 L .93155 .6016 L .93403 .60083 L .93651 .59988 L .93899 .59871 L .94147 .59731 L .94643 .59365 L .95139 .58856 L .95635 .58152 L .95883 .57703 L .96131 .57166 L .96379 .56519 L .96627 .55722 L .96875 .5471 L .96999 .54088 L .97123 .53356 L .97247 .5247 L .97371 .51356 L .97495 .49863 L .97619 .47603 L Mfstroke P P % End of Graphics MathPictureEnd :[font = subsection; inactive; dontPreserveAspect; startGroup] 3.2 - The Stage Filters :[font = subsubsection; inactive; dontPreserveAspect] Definitions :[font = text; inactive; dontPreserveAspect] The stages of the filter bank that simulate each section of the cochlea are each a combination of two poles and two zeros. Recall that a pair of poles with a broad response is combined with a pair of zeros at a slightly higher frequency. :[font = input; initialization; dontPreserveAspect] *) EarStageFilter[cf_, fs_, dcgain_] := MakeFilter[ SecondOrderFromCenterQ[CascadeZeroCF[cf], CascadeZeroQ[cf], fs], SecondOrderFromCenterQ[CascadePoleCF[cf], CascadePoleQ[cf], fs], fs, 0.0, dcgain] (* :[font = text; inactive; dontPreserveAspect] This filter has the following response (shown here for the filter section centered at 5000Hz.) Note that there is a slight peak in the response before the notch due to the poles. :[font = input; closed; dontPreserveAspect; startGroup] FreqResponse[EarStageFilter[5000,16000,1],16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.557114 0.0323114 [ [(2000)] .26238 .55711 0 2 Msboxa [(4000)] .50095 .55711 0 2 Msboxa [(6000)] .73953 .55711 0 2 Msboxa [(8000)] .9781 .55711 0 2 Msboxa [( f)] 1.025 .55711 -1 0 Msboxa [(-15)] .01131 .07244 1 0 Msboxa [(-12.5)] .01131 .15322 1 0 Msboxa [(-10)] .01131 .234 1 0 Msboxa [(-7.5)] .01131 .31478 1 0 Msboxa [(-5)] .01131 .39556 1 0 Msboxa [(-2.5)] .01131 .47634 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .55711 m .26238 .56336 L s P [(2000)] .26238 .55711 0 2 Mshowa p .002 w .50095 .55711 m .50095 .56336 L s P [(4000)] .50095 .55711 0 2 Mshowa p .002 w .73953 .55711 m .73953 .56336 L s P [(6000)] .73953 .55711 0 2 Mshowa p .002 w .9781 .55711 m .9781 .56336 L s P [(8000)] .9781 .55711 0 2 Mshowa p .001 w .07152 .55711 m .07152 .56086 L s P p .001 w .11924 .55711 m .11924 .56086 L s P p .001 w .16695 .55711 m .16695 .56086 L s P p .001 w .21467 .55711 m .21467 .56086 L s P p .001 w .3101 .55711 m .3101 .56086 L s P p .001 w .35781 .55711 m .35781 .56086 L s P p .001 w .40553 .55711 m .40553 .56086 L s P p .001 w .45324 .55711 m .45324 .56086 L s P p .001 w .54867 .55711 m .54867 .56086 L s P p .001 w .59638 .55711 m .59638 .56086 L s P p .001 w .6441 .55711 m .6441 .56086 L s P p .001 w .69181 .55711 m .69181 .56086 L s P p .001 w .78724 .55711 m .78724 .56086 L s P p .001 w .83496 .55711 m .83496 .56086 L s P p .001 w .88267 .55711 m .88267 .56086 L s P p .001 w .93038 .55711 m .93038 .56086 L s P [( f)] 1.025 .55711 -1 0 Mshowa p .002 w 0 .55711 m 1 .55711 L s P p .002 w .02381 .07244 m .03006 .07244 L s P [(-15)] .01131 .07244 1 0 Mshowa p .002 w .02381 .15322 m .03006 .15322 L s P [(-12.5)] .01131 .15322 1 0 Mshowa p .002 w .02381 .234 m .03006 .234 L s P [(-10)] .01131 .234 1 0 Mshowa p .002 w .02381 .31478 m .03006 .31478 L s P [(-7.5)] .01131 .31478 1 0 Mshowa p .002 w .02381 .39556 m .03006 .39556 L s P [(-5)] .01131 .39556 1 0 Mshowa p .002 w .02381 .47634 m .03006 .47634 L s P [(-2.5)] .01131 .47634 1 0 Mshowa p .001 w .02381 .0886 m .02756 .0886 L s P p .001 w .02381 .10475 m .02756 .10475 L s P p .001 w .02381 .12091 m .02756 .12091 L s P p .001 w .02381 .13707 m .02756 .13707 L s P p .001 w .02381 .16938 m .02756 .16938 L s P p .001 w .02381 .18553 m .02756 .18553 L s P p .001 w .02381 .20169 m .02756 .20169 L s P p .001 w .02381 .21784 m .02756 .21784 L s P p .001 w .02381 .25016 m .02756 .25016 L s P p .001 w .02381 .26631 m .02756 .26631 L s P p .001 w .02381 .28247 m .02756 .28247 L s P p .001 w .02381 .29862 m .02756 .29862 L s P p .001 w .02381 .33093 m .02756 .33093 L s P p .001 w .02381 .34709 m .02756 .34709 L s P p .001 w .02381 .36325 m .02756 .36325 L s P p .001 w .02381 .3794 m .02756 .3794 L s P p .001 w .02381 .41171 m .02756 .41171 L s P p .001 w .02381 .42787 m .02756 .42787 L s P p .001 w .02381 .44402 m .02756 .44402 L s P p .001 w .02381 .46018 m .02756 .46018 L s P p .001 w .02381 .49249 m .02756 .49249 L s P p .001 w .02381 .50865 m .02756 .50865 L s P p .001 w .02381 .5248 m .02756 .5248 L s P p .001 w .02381 .54096 m .02756 .54096 L s P p .001 w .02381 .05629 m .02756 .05629 L s P p .001 w .02381 .04013 m .02756 .04013 L s P p .001 w .02381 .02398 m .02756 .02398 L s P p .001 w .02381 .00782 m .02756 .00782 L s P p .001 w .02381 .57327 m .02756 .57327 L s P p .001 w .02381 .58943 m .02756 .58943 L s P p .001 w .02381 .60558 m .02756 .60558 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .55711 m .02517 .55711 L .02641 .55711 L .02765 .55711 L .02889 .55712 L .03137 .55712 L .03385 .55712 L .03633 .55712 L .03881 .55713 L .04377 .55714 L .04873 .55715 L .05369 .55716 L .06361 .5572 L .07353 .55726 L .08345 .55732 L .10328 .55748 L .12312 .55769 L .14296 .55795 L .18264 .55865 L .22232 .55961 L .26199 .56089 L .30167 .56258 L .34135 .56483 L .38103 .56783 L .4207 .57191 L .46038 .57759 L .50006 .58566 L .5199 .59084 L .53974 .59664 L .54966 .59952 L .55462 .60083 L .55958 .60197 L .56206 .60245 L .56454 .60284 L .56578 .603 L .56702 .60313 L .56826 .60323 L .5695 .60329 L .57074 .60332 L .57198 .6033 L .57322 .60324 L .57446 .60313 L .5757 .60295 L .57693 .60272 L .57817 .60242 L .57941 .60205 L .58189 .60105 L .58437 .59967 L .58685 .59782 L .58933 .59543 L Mistroke .59181 .59239 L .59429 .58859 L .59677 .5839 L .59925 .57817 L .60421 .56293 L .60917 .54143 L .61413 .51206 L .61909 .47314 L .62405 .42296 L .62901 .35963 L .63893 .18509 L .64141 .13193 L .64389 .07942 L .64513 .05587 L .64637 .03616 L .64761 .02199 L .64885 .01472 L .65009 .01475 L .65133 .02144 L .65381 .04872 L .65877 .12018 L .66373 .18295 L .66869 .23199 L .67365 .27016 L .67861 .30038 L .68357 .32475 L .68853 .34476 L .69845 .37549 L .70837 .39786 L .71829 .41477 L .72821 .42794 L .73813 .43844 L .74804 .44697 L .75796 .45402 L .7778 .4649 L .79764 .47281 L .81748 .47873 L .83732 .48324 L .85716 .4867 L .877 .48936 L .89684 .49137 L .90675 .49218 L .91667 .49285 L .92659 .49342 L .93651 .49388 L .94643 .49423 L .95139 .49437 L .95635 .49448 L .96131 .49458 L .96379 .49461 L Mistroke .96627 .49464 L .96875 .49467 L .96999 .49468 L .97123 .49469 L .97247 .49469 L .97371 .4947 L .97495 .4947 L .97619 .49471 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] We set the gain of each stage in the ear filter to compensate for the gain provided by the differentiator in the preemphasis stage. The gain of an ideal differentiator is proportional to frequency. Preceeding all channels of the ear filter with a single differentiator will cause the lower frequency channels (high index) to have a much lower output then the preceeding stages. While within a single channel we still want to add a term that is proportional to frequency we want to adjust the differentiator at each stage so it has unity gain at the center frequency. :[font = text; inactive; dontPreserveAspect] To compensate for the single differentiator we adjust the gain of each stage of the cascade filter by dividing its response by its center frequency (cf). But since all of the filter stages are in series we must also remove the effect of the gain from the previous section. Thus the gain at each stage is given by: ;[s] 3:0,0;149,1;151,0;316,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) EarFilterGain[i_,fs_] := EarChannelCF[i-1,fs]/ EarChannelCF[i,fs] (* :[font = text; inactive; dontPreserveAspect] When the differentiator is combined with each stage of the ear filter (by multiplying their responses) the net effect of this gain term is to normalize the differentiator so that it has unity gain. The gain at each stage is shown below. :[font = input; closed; dontPreserveAspect; startGroup] ListPlot[Table[EarFilterGain[i,16000],{i,1,85}], AxesLabel->{" Channel #","Gain (dB)"}]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.0112045 -7.01034 6.80376 [ [(20)] .2479 .47379 0 2 Msboxa [(40)] .47199 .47379 0 2 Msboxa [(60)] .69608 .47379 0 2 Msboxa [(80)] .92017 .47379 0 2 Msboxa [( Channel #)] 1.025 .47379 -1 0 Msboxa [(1.04)] .01131 .06557 1 0 Msboxa [(1.06)] .01131 .20164 1 0 Msboxa [(1.08)] .01131 .33772 1 0 Msboxa [(1.12)] .01131 .60987 1 0 Msboxa [(Gain \(dB\))] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2479 .47379 m .2479 .48004 L s P [(20)] .2479 .47379 0 2 Mshowa p .002 w .47199 .47379 m .47199 .48004 L s P [(40)] .47199 .47379 0 2 Mshowa p .002 w .69608 .47379 m .69608 .48004 L s P [(60)] .69608 .47379 0 2 Mshowa p .002 w .92017 .47379 m .92017 .48004 L s P [(80)] .92017 .47379 0 2 Mshowa p .001 w .06863 .47379 m .06863 .47754 L s P p .001 w .11345 .47379 m .11345 .47754 L s P p .001 w .15826 .47379 m .15826 .47754 L s P p .001 w .20308 .47379 m .20308 .47754 L s P p .001 w .29272 .47379 m .29272 .47754 L s P p .001 w .33754 .47379 m .33754 .47754 L s P p .001 w .38235 .47379 m .38235 .47754 L s P p .001 w .42717 .47379 m .42717 .47754 L s P p .001 w .51681 .47379 m .51681 .47754 L s P p .001 w .56162 .47379 m .56162 .47754 L s P p .001 w .60644 .47379 m .60644 .47754 L s P p .001 w .65126 .47379 m .65126 .47754 L s P p .001 w .7409 .47379 m .7409 .47754 L s P p .001 w .78571 .47379 m .78571 .47754 L s P p .001 w .83053 .47379 m .83053 .47754 L s P p .001 w .87535 .47379 m .87535 .47754 L s P p .001 w .96499 .47379 m .96499 .47754 L s P [( Channel #)] 1.025 .47379 -1 0 Mshowa p .002 w 0 .47379 m 1 .47379 L s P p .002 w .02381 .06557 m .03006 .06557 L s P [(1.04)] .01131 .06557 1 0 Mshowa p .002 w .02381 .20164 m .03006 .20164 L s P [(1.06)] .01131 .20164 1 0 Mshowa p .002 w .02381 .33772 m .03006 .33772 L s P [(1.08)] .01131 .33772 1 0 Mshowa p .002 w .02381 .60987 m .03006 .60987 L s P [(1.12)] .01131 .60987 1 0 Mshowa p .001 w .02381 .09278 m .02756 .09278 L s P p .001 w .02381 .12 m .02756 .12 L s P p .001 w .02381 .14721 m .02756 .14721 L s P p .001 w .02381 .17443 m .02756 .17443 L s P p .001 w .02381 .22886 m .02756 .22886 L s P p .001 w .02381 .25607 m .02756 .25607 L s P p .001 w .02381 .28329 m .02756 .28329 L s P p .001 w .02381 .3105 m .02756 .3105 L s P p .001 w .02381 .36493 m .02756 .36493 L s P p .001 w .02381 .39215 m .02756 .39215 L s P p .001 w .02381 .41936 m .02756 .41936 L s P p .001 w .02381 .44658 m .02756 .44658 L s P p .001 w .02381 .50101 m .02756 .50101 L s P p .001 w .02381 .52822 m .02756 .52822 L s P p .001 w .02381 .55544 m .02756 .55544 L s P p .001 w .02381 .58265 m .02756 .58265 L s P p .001 w .02381 .03835 m .02756 .03835 L s P p .001 w .02381 .01114 m .02756 .01114 L s P [(Gain \(dB\))] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p .008 w .03501 .01472 Mdot .04622 .01483 Mdot .05742 .01496 Mdot .06863 .0151 Mdot .07983 .01524 Mdot .09104 .0154 Mdot .10224 .01556 Mdot .11345 .01574 Mdot .12465 .01593 Mdot .13585 .01613 Mdot .14706 .01634 Mdot .15826 .01657 Mdot .16947 .01681 Mdot .18067 .01707 Mdot .19188 .01735 Mdot .20308 .01764 Mdot .21429 .01796 Mdot .22549 .0183 Mdot .23669 .01865 Mdot .2479 .01904 Mdot .2591 .01945 Mdot .27031 .01988 Mdot .28151 .02035 Mdot .29272 .02085 Mdot .30392 .02138 Mdot .31513 .02194 Mdot .32633 .02255 Mdot .33754 .0232 Mdot .34874 .02389 Mdot .35994 .02463 Mdot .37115 .02542 Mdot .38235 .02627 Mdot .39356 .02717 Mdot .40476 .02814 Mdot .41597 .02918 Mdot .42717 .03029 Mdot .43838 .03148 Mdot .44958 .03275 Mdot .46078 .03412 Mdot .47199 .03558 Mdot .48319 .03715 Mdot .4944 .03883 Mdot .5056 .04064 Mdot .51681 .04258 Mdot .52801 .04467 Mdot .53922 .04692 Mdot .55042 .04933 Mdot .56162 .05193 Mdot .57283 .05474 Mdot .58403 .05776 Mdot .59524 .06103 Mdot .60644 .06455 Mdot .61765 .06837 Mdot .62885 .0725 Mdot .64006 .07698 Mdot .65126 .08185 Mdot .66246 .08713 Mdot .67367 .09289 Mdot .68487 .09917 Mdot .69608 .10603 Mdot .70728 .11355 Mdot .71849 .12179 Mdot .72969 .13086 Mdot .7409 .14086 Mdot .7521 .15192 Mdot .76331 .1642 Mdot .77451 .17787 Mdot .78571 .19316 Mdot .79692 .21034 Mdot .80812 .22972 Mdot .81933 .25174 Mdot .83053 .27689 Mdot .84174 .30585 Mdot .85294 .33948 Mdot .86415 .37892 Mdot .87535 .42572 Mdot .88655 .48201 Mdot .89776 .55087 Mdot .90896 .63685 Mdot .92017 .74698 Mdot .93137 .89276 Mdot .94258 1.09439 Mdot .95378 1.39082 Mdot .96499 1.86825 Mdot .97619 2.76272 Mdot P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] To produce the final filter function we combine the response for EarFrontFilter (section 0) with those defined by the EarStageFilter function. ;[s] 5:0,0;65,1;80,0;118,1;132,0;145,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = text; inactive; dontPreserveAspect] Again we use what Mathematica refers to as dynamic programming (caching) to save the resulting filters. It is important to remember that this function implicitly depends on the values of a number of constants (for example EarSharpness and EarQ) and if any of these parameters are changed then the Mathematica function Clear[EarFilter] must be used to invalidate the cache. ;[s] 11:0,0;18,1;29,0;224,2;236,0;241,2;245,0;299,1;310,0;321,2;337,0;376,-1; 3:6,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,2,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) Clear[EarFilter] (* :[font = input; initialization; dontPreserveAspect] *) EarFilter[i_,fs_] := EarFilter[i,fs] = If [ i == 0, N[EarFrontFilter[fs]], Block[{cf, stagegain}, cf = EarChannelCF[i,fs]; stagegain = EarFilterGain[i,fs]; If [ CascadePoleQ[cf] < 0.5 , 0, N[EarStageFilter[cf,fs,stagegain]]]]] (* :[font = text; inactive; dontPreserveAspect] The filter calculated using the function SecondOrderFromCenterQ will have real roots when the value of q is less than 0.5. We arbitrarily stop the cascade structure when this happens. Solving the equation CascadePoleQ[f] == .5 we find this is true for all stages with a center frequency less than 63hz. ;[s] 7:0,0;41,1;63,0;103,1;104,0;207,1;228,0;305,-1; 2:4,17,12,Geneva,0,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] Solve[CascadePoleQ[f] == .5,f] :[font = output; output; inactive; dontPreserveAspect; endGroup] {{f -> 62.62242910851496}} ;[o] {{f -> 62.6224}} :[font = input; dontPreserveAspect; startGroup] EarChannelCF[85,16000] :[font = output; output; inactive; dontPreserveAspect; endGroup] 71.98689669417151 ;[o] 71.9869 :[font = input; dontPreserveAspect; startGroup] EarChannelCF[86,16000] :[font = output; output; inactive; dontPreserveAspect; endGroup] 40.65603080260557 ;[o] 40.656 :[font = subsubsection; inactive; dontPreserveAspect; startGroup] Test Cases :[font = text; inactive; dontPreserveAspect] These test cases are used to verify the consistency between this Mathematica model and the C and Lisp versions. ;[s] 3:0,0;65,1;76,0;113,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] EpsilonFromTauFS[5/cf,fs] :[font = output; output; inactive; dontPreserveAspect; endGroup] E^(-1525.197487488504/fs) ;[o] -1525.2/fs E :[font = input; dontPreserveAspect; startGroup] FirstOrderFromTau[5/cf,fs]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] -1./2.718281828459045^(1525.197487488504/fs) + z ;[o] -1. ---------------- + z 1525.2/fs 2.71828 :[font = input; dontPreserveAspect; startGroup] FirstOrderFromCorner[cf/4,fs]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] 1. - (1.*z)/2.718281828459045^(11978.87305491874/fs) ;[o] 1. z 1. - ----------------- 11978.9/fs 2.71828 :[font = input; dontPreserveAspect; startGroup] SecondOrderFromCenterQ[cf/4,2,fs]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] 2.718281828459045^(-5989.436527459369/fs) + z^2 - (2.*z*Cos[11598.49396200826/fs])/ 2.718281828459045^(2994.718263729684/fs) ;[o] 11598.5 2. z Cos[-------] -5989.44/fs 2 fs 2.71828 + z - ----------------- 2994.72/fs 2.71828 :[font = input; dontPreserveAspect; startGroup] EarPreCoeffs[16000]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] EarPreCoeffs[16000.] ;[o] EarPreCoeffs[16000.] :[font = input; dontPreserveAspect; startGroup] EarFrontCoeffs[16000]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] EarFrontCoeffs[16000.] ;[o] EarFrontCoeffs[16000.] :[font = input; dontPreserveAspect; startGroup] EarCascadeCoeffs[cf,16000,1.032525595]//N :[font = output; output; inactive; dontPreserveAspect; endGroup; endGroup] EarCascadeCoeffs[7625.987437442521, 16000., 1.032525595] ;[o] EarCascadeCoeffs[7625.99, 16000., 1.03253] :[font = subsubsection; inactive; dontPreserveAspect; startGroup] Graphics :[font = text; inactive; dontPreserveAspect] Using the following functions we can plot the poles and zeros of all of these filters. :[font = input; initialization; dontPreserveAspect] *) PlotPoles[fs_] := ListPlot[Map[{Re[#],Im[#]}&, Flatten[Table[RationalPoles[ EarFilter[i,16000]], {i,0,85}]]], PlotRange->{{-1,1},{-1,1}}, AspectRatio->1, PlotLabel->"Poles of Ear Filter (z domain)"] (* :[font = input; dontPreserveAspect; startGroup] PlotPoles[16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 279; endGroup] %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.5 0.5 0.5 [ [(-1)] 0 .5 0 2 Msboxa [(-0.75)] .125 .5 0 2 Msboxa [(-0.5)] .25 .5 0 2 Msboxa [(-0.25)] .375 .5 0 2 Msboxa [(0.25)] .625 .5 0 2 Msboxa [(0.5)] .75 .5 0 2 Msboxa [(0.75)] .875 .5 0 2 Msboxa [(1)] 1 .5 0 2 Msboxa [(Poles of Ear Filter \(z domain\))] .5 1 0 -2 Msboxa [(-1)] .4875 0 1 0 Msboxa [(-0.75)] .4875 .125 1 0 Msboxa [(-0.5)] .4875 .25 1 0 Msboxa [(-0.25)] .4875 .375 1 0 Msboxa [(0.25)] .4875 .625 1 0 Msboxa [(0.5)] .4875 .75 1 0 Msboxa [(0.75)] .4875 .875 1 0 Msboxa [(1)] .4875 1 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 1.001 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w 0 .5 m 0 .50625 L s P [(-1)] 0 .5 0 2 Mshowa p .002 w .125 .5 m .125 .50625 L s P [(-0.75)] .125 .5 0 2 Mshowa p .002 w .25 .5 m .25 .50625 L s P [(-0.5)] .25 .5 0 2 Mshowa p .002 w .375 .5 m .375 .50625 L s P [(-0.25)] .375 .5 0 2 Mshowa p .002 w .625 .5 m .625 .50625 L s P [(0.25)] .625 .5 0 2 Mshowa p .002 w .75 .5 m .75 .50625 L s P [(0.5)] .75 .5 0 2 Mshowa p .002 w .875 .5 m .875 .50625 L s P [(0.75)] .875 .5 0 2 Mshowa p .002 w 1 .5 m 1 .50625 L s P [(1)] 1 .5 0 2 Mshowa p .001 w .025 .5 m .025 .50375 L s P p .001 w .05 .5 m .05 .50375 L s P p .001 w .075 .5 m .075 .50375 L s P p .001 w .1 .5 m .1 .50375 L s P p .001 w .15 .5 m .15 .50375 L s P p .001 w .175 .5 m .175 .50375 L s P p .001 w .2 .5 m .2 .50375 L s P p .001 w 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.75969 .11073 Mdot .75969 .88927 Mdot .77294 .1188 Mdot .77294 .8812 Mdot .78557 .12707 Mdot .78557 .87293 Mdot .7976 .1355 Mdot .7976 .8645 Mdot .80904 .14407 Mdot .80904 .85593 Mdot .81991 .15274 Mdot .81991 .84726 Mdot .83025 .16149 Mdot .83025 .83851 Mdot .84006 .17029 Mdot .84006 .82971 Mdot .84937 .17911 Mdot .84937 .82089 Mdot .8582 .18795 Mdot .8582 .81205 Mdot .86656 .19678 Mdot .86656 .80322 Mdot .87449 .20559 Mdot .87449 .79441 Mdot .882 .21436 Mdot .882 .78564 Mdot .8891 .22308 Mdot .8891 .77692 Mdot .89582 .23175 Mdot .89582 .76825 Mdot .90217 .24035 Mdot .90217 .75965 Mdot .90818 .24887 Mdot .90818 .75113 Mdot .91385 .25731 Mdot .91385 .74269 Mdot .9192 .26566 Mdot .9192 .73434 Mdot .92425 .27393 Mdot .92425 .72607 Mdot .92902 .28209 Mdot .92902 .71791 Mdot .93351 .29016 Mdot .93351 .70984 Mdot .93775 .29814 Mdot .93775 .70186 Mdot .94173 .30601 Mdot .94173 .69399 Mdot .94548 .31378 Mdot .94548 .68622 Mdot .94901 .32145 Mdot .94901 .67855 Mdot .95233 .32902 Mdot .95233 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plot shows the poles of the filter bank going from high frequencies (near the base of the cochlea) around the unit circle to those of the low frequencies. Recall in the z-domain that frequency is mapped into a position on the unit circle. DC is at 1 on the real axis, the Nyquist frequency is at -1 and all other frequencies are on the unit circle between these two points. In addition the distance the pole (or zero) is from the unit circle is proportional to the quality factor of the filter. The poles in the cochlear filter have a lower q and thus are farther from the unit circle then the zeros shown below. :[font = input; initialization; dontPreserveAspect] *) PlotZeros[fs_] := ListPlot[Map[{Re[#],Im[#]}&, Flatten[Table[RationalZeros[ EarFilter[i,16000]], {i,0,85}]]], PlotRange->{{-1,1},{-1,1}}, AspectRatio->1, PlotLabel->"Zeros of Ear Filter (z domain)"] (* :[font = input; dontPreserveAspect; startGroup] PlotZeros[16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 279; endGroup] %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.5 0.5 0.5 [ [(-1)] 0 .5 0 2 Msboxa [(-0.75)] .125 .5 0 2 Msboxa [(-0.5)] .25 .5 0 2 Msboxa [(-0.25)] .375 .5 0 2 Msboxa [(0.25)] .625 .5 0 2 Msboxa [(0.5)] .75 .5 0 2 Msboxa [(0.75)] .875 .5 0 2 Msboxa [(1)] 1 .5 0 2 Msboxa [(Zeros of Ear Filter \(z domain\))] .5 1 0 -2 Msboxa [(-1)] .4875 0 1 0 Msboxa [(-0.75)] .4875 .125 1 0 Msboxa [(-0.5)] .4875 .25 1 0 Msboxa [(-0.25)] .4875 .375 1 0 Msboxa [(0.25)] .4875 .625 1 0 Msboxa [(0.5)] .4875 .75 1 0 Msboxa [(0.75)] .4875 .875 1 0 Msboxa [(1)] .4875 1 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 1.001 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w 0 .5 m 0 .50625 L s P [(-1)] 0 .5 0 2 Mshowa p .002 w .125 .5 m .125 .50625 L s P [(-0.75)] .125 .5 0 2 Mshowa p .002 w .25 .5 m .25 .50625 L s P [(-0.5)] .25 .5 0 2 Mshowa p .002 w .375 .5 m .375 .50625 L s P [(-0.25)] .375 .5 0 2 Mshowa p .002 w .625 .5 m .625 .50625 L s P [(0.25)] .625 .5 0 2 Mshowa p .002 w .75 .5 m .75 .50625 L s P [(0.5)] .75 .5 0 2 Mshowa p .002 w .875 .5 m .875 .50625 L s P [(0.75)] .875 .5 0 2 Mshowa p .002 w 1 .5 m 1 .50625 L s P [(1)] 1 .5 0 2 Mshowa p .001 w .025 .5 m .025 .50375 L s P p .001 w .05 .5 m .05 .50375 L s P p .001 w .075 .5 m .075 .50375 L s P p .001 w .1 .5 m .1 .50375 L s P p .001 w .15 .5 m .15 .50375 L s P p .001 w .175 .5 m .175 .50375 L s P p .001 w .2 .5 m .2 .50375 L s P p .001 w .225 .5 m .225 .50375 L s P p .001 w .275 .5 m .275 .50375 L s P p .001 w .3 .5 m .3 .50375 L s P p .001 w .325 .5 m .325 .50375 L s P p .001 w .35 .5 m .35 .50375 L s P p .001 w .4 .5 m .4 .50375 L s P p .001 w .425 .5 m .425 .50375 L s P p .001 w .45 .5 m .45 .50375 L s P p .001 w .475 .5 m .475 .50375 L s P p .001 w .525 .5 m .525 .50375 L s P p .001 w .55 .5 m .55 .50375 L s P p .001 w .575 .5 m .575 .50375 L s P p .001 w .6 .5 m .6 .50375 L s P p .001 w .65 .5 m .65 .50375 L s P p .001 w .675 .5 m .675 .50375 L s P p .001 w .7 .5 m .7 .50375 L s P p .001 w .725 .5 m .725 .50375 L s P p .001 w .775 .5 m .775 .50375 L s P p .001 w .8 .5 m .8 .50375 L s P p .001 w .825 .5 m .825 .50375 L s P p .001 w .85 .5 m .85 .50375 L s P p .001 w .9 .5 m .9 .50375 L s P p .001 w .925 .5 m .925 .50375 L s P p .001 w .95 .5 m .95 .50375 L s P p .001 w .975 .5 m .975 .50375 L s P p .002 w 0 .5 m 1 .5 L s P [(Zeros of Ear Filter \(z domain\))] .5 1 0 -2 Mshowa p .002 w .5 0 m .50625 0 L s P [(-1)] .4875 0 1 0 Mshowa p .002 w .5 .125 m .50625 .125 L s P [(-0.75)] .4875 .125 1 0 Mshowa p .002 w .5 .25 m .50625 .25 L s P [(-0.5)] .4875 .25 1 0 Mshowa p .002 w .5 .375 m .50625 .375 L s P [(-0.25)] .4875 .375 1 0 Mshowa p .002 w .5 .625 m .50625 .625 L s P [(0.25)] .4875 .625 1 0 Mshowa p .002 w .5 .75 m .50625 .75 L s P [(0.5)] .4875 .75 1 0 Mshowa p .002 w .5 .875 m .50625 .875 L s P [(0.75)] .4875 .875 1 0 Mshowa p .002 w .5 1 m .50625 1 L s P [(1)] .4875 1 1 0 Mshowa p .001 w .5 .025 m .50375 .025 L s P p .001 w .5 .05 m .50375 .05 L s P p .001 w .5 .075 m .50375 .075 L s P p .001 w .5 .1 m .50375 .1 L s P p .001 w .5 .15 m .50375 .15 L s P p .001 w .5 .175 m .50375 .175 L s P p .001 w .5 .2 m .50375 .2 L s P p .001 w .5 .225 m .50375 .225 L s P p .001 w .5 .275 m .50375 .275 L s P p .001 w .5 .3 m .50375 .3 L s P p .001 w .5 .325 m .50375 .325 L s P p .001 w .5 .35 m .50375 .35 L s P p .001 w .5 .4 m .50375 .4 L s P p .001 w .5 .425 m .50375 .425 L s P p .001 w .5 .45 m .50375 .45 L s P p .001 w .5 .475 m .50375 .475 L s P p .001 w .5 .525 m .50375 .525 L s P p .001 w .5 .55 m .50375 .55 L s P p .001 w .5 .575 m .50375 .575 L s P p .001 w .5 .6 m .50375 .6 L s P p .001 w .5 .65 m .50375 .65 L s P p .001 w .5 .675 m .50375 .675 L s P p .001 w .5 .7 m .50375 .7 L s P p .001 w .5 .725 m .50375 .725 L s P p .001 w .5 .775 m .50375 .775 L s P p .001 w .5 .8 m .50375 .8 L s P p .001 w .5 .825 m .50375 .825 L s P p .001 w .5 .85 m .50375 .85 L s P p .001 w .5 .9 m .50375 .9 L s P p .001 w .5 .925 m .50375 .925 L s P p .001 w .5 .95 m .50375 .95 L s P p .001 w .5 .975 m .50375 .975 L s P p .002 w .5 0 m .5 1 L s P P 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath p .008 w 0 .5 Mdot 1 .5 Mdot 1.06252 .5 Mdot .01853 .49734 Mdot .01853 .50266 Mdot .02058 .44982 Mdot .02058 .55018 Mdot .02703 .40413 Mdot .02703 .59587 Mdot .03744 .36059 Mdot .03744 .63941 Mdot .05134 .31945 Mdot .05134 .68055 Mdot .0683 .28089 Mdot .0683 .71911 Mdot .08789 .24502 Mdot .08789 .75498 Mdot .10972 .21193 Mdot .10972 .78807 Mdot .13342 .18164 Mdot .13342 .81836 Mdot .15862 .15414 Mdot .15862 .84586 Mdot .18501 .12938 Mdot .18501 .87062 Mdot .2123 .1073 Mdot .2123 .8927 Mdot .24023 .08782 Mdot .24023 .91218 Mdot .26856 .07084 Mdot .26856 .92916 Mdot .29707 .05623 Mdot .29707 .94377 Mdot .3256 .04387 Mdot .3256 .95613 Mdot .35396 .03365 Mdot .35396 .96635 Mdot .38203 .02542 Mdot .38203 .97458 Mdot .40968 .01905 Mdot .40968 .98095 Mdot .43682 .01442 Mdot .43682 .98558 Mdot .46335 .01139 Mdot .46335 .98861 Mdot .48921 .00983 Mdot .48921 .99017 Mdot .51435 .00963 Mdot .51435 .99037 Mdot .53872 .01067 Mdot .53872 .98933 Mdot .56229 .01283 Mdot .56229 .98717 Mdot .58503 .01602 Mdot .58503 .98398 Mdot .60693 .02012 Mdot .60693 .97988 Mdot .62799 .02504 Mdot .62799 .97496 Mdot .6482 .03071 Mdot .6482 .96929 Mdot .66757 .03702 Mdot .66757 .96298 Mdot .6861 .04391 Mdot .6861 .95609 Mdot .70381 .05131 Mdot .70381 .94869 Mdot .72072 .05915 Mdot .72072 .94085 Mdot .73684 .06736 Mdot .73684 .93264 Mdot .75219 .0759 Mdot .75219 .9241 Mdot .7668 .08471 Mdot .7668 .91529 Mdot .78069 .09374 Mdot .78069 .90626 Mdot .79388 .10296 Mdot .79388 .89704 Mdot .8064 .11232 Mdot .8064 .88768 Mdot .81827 .1218 Mdot .81827 .8782 Mdot .82953 .13135 Mdot .82953 .86865 Mdot .84019 .14095 Mdot .84019 .85905 Mdot .85027 .15057 Mdot .85027 .84943 Mdot .85982 .1602 Mdot .85982 .8398 Mdot .86884 .16981 Mdot .86884 .83019 Mdot .87737 .17939 Mdot .87737 .82061 Mdot .88543 .18891 Mdot .88543 .81109 Mdot .89303 .19837 Mdot .89303 .80163 Mdot .90021 .20776 Mdot .90021 .79224 Mdot .90698 .21706 Mdot .90698 .78294 Mdot .91336 .22626 Mdot .91336 .77374 Mdot .91937 .23537 Mdot .91937 .76463 Mdot .92503 .24436 Mdot .92503 .75564 Mdot .93037 .25325 Mdot .93037 .74675 Mdot .93538 .26202 Mdot .93538 .73798 Mdot .9401 .27067 Mdot .9401 .72933 Mdot .94454 .2792 Mdot .94454 .7208 Mdot .94871 .28761 Mdot .94871 .71239 Mdot .95263 .2959 Mdot .95263 .7041 Mdot .95631 .30407 Mdot .95631 .69593 Mdot .95976 .31211 Mdot .95976 .68789 Mdot .96299 .32004 Mdot .96299 .67996 Mdot .96602 .32785 Mdot .96602 .67215 Mdot .96886 .33554 Mdot .96886 .66446 Mdot .97152 .34312 Mdot .97152 .65688 Mdot .97399 .35059 Mdot .97399 .64941 Mdot .97631 .35795 Mdot .97631 .64205 Mdot .97847 .36521 Mdot .97847 .63479 Mdot .98048 .37237 Mdot .98048 .62763 Mdot .98234 .37944 Mdot .98234 .62056 Mdot .98408 .38641 Mdot .98408 .61359 Mdot .98568 .39329 Mdot .98568 .60671 Mdot .98716 .40009 Mdot .98716 .59991 Mdot .98853 .40681 Mdot .98853 .59319 Mdot .98978 .41346 Mdot .98978 .58654 Mdot .99093 .42003 Mdot .99093 .57997 Mdot .99197 .42654 Mdot .99197 .57346 Mdot .99291 .43299 Mdot .99291 .56701 Mdot .99376 .43938 Mdot .99376 .56062 Mdot .99452 .44573 Mdot .99452 .55427 Mdot .99519 .45203 Mdot .99519 .54797 Mdot .99577 .45829 Mdot .99577 .54171 Mdot .99626 .46451 Mdot .99626 .53549 Mdot .99668 .47071 Mdot .99668 .52929 Mdot .99701 .47689 Mdot .99701 .52311 Mdot P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] In the s-plane the poles look like (using the substitution z = exp[sT]): ;[s] 3:0,0;59,1;70,0;73,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) PlotSPoles[fs_,smax_] := ListPlot[Map[{Re[#],Im[#]}&, Log[Flatten[Table[RationalPoles[EarFilter[i,16000]], {i,0,85}]]]] fs, PlotLabel->"Poles of Ear Filter (s Plane)", PlotRange->{{-smax,smax},{-smax,smax}}, AspectRatio->1, Axes->{0,0}] (* :[font = input; dontPreserveAspect; startGroup] PlotSPoles[16000,5000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 279; endGroup; endGroup; endGroup] %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.0001 0.5 0.0001 [ [(-4000)] .1 .5 0 2 Msboxa [(-2000)] .3 .5 0 2 Msboxa [(2000)] .7 .5 0 2 Msboxa [(4000)] .9 .5 0 2 Msboxa [(Poles of Ear Filter \(s Plane\))] .5 1 0 -2 Msboxa [(-4000)] .4875 .1 1 0 Msboxa [(-2000)] .4875 .3 1 0 Msboxa [(2000)] .4875 .7 1 0 Msboxa [(4000)] .4875 .9 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 1.001 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .1 .5 m .1 .50625 L s P [(-4000)] .1 .5 0 2 Mshowa p .002 w .3 .5 m .3 .50625 L s P [(-2000)] .3 .5 0 2 Mshowa p .002 w .7 .5 m .7 .50625 L s P [(2000)] .7 .5 0 2 Mshowa p .002 w .9 .5 m .9 .50625 L s P [(4000)] .9 .5 0 2 Mshowa p .001 w .14 .5 m .14 .50375 L s P p .001 w .18 .5 m .18 .50375 L s P p .001 w .22 .5 m .22 .50375 L s P p .001 w .26 .5 m .26 .50375 L s P p .001 w .34 .5 m .34 .50375 L s P p .001 w .38 .5 m .38 .50375 L s P p .001 w .42 .5 m .42 .50375 L s P p .001 w .46 .5 m .46 .50375 L s P p .001 w .54 .5 m .54 .50375 L s P p .001 w .58 .5 m .58 .50375 L s P p .001 w .62 .5 m .62 .50375 L s P p .001 w .66 .5 m .66 .50375 L s P p .001 w .74 .5 m .74 .50375 L s P p .001 w .78 .5 m .78 .50375 L s P p .001 w .82 .5 m .82 .50375 L s P p .001 w .86 .5 m .86 .50375 L s P p .001 w .06 .5 m .06 .50375 L s P p .001 w .02 .5 m .02 .50375 L s P p .001 w .94 .5 m .94 .50375 L s P p .001 w .98 .5 m .98 .50375 L s P p .002 w 0 .5 m 1 .5 L s P [(Poles of Ear Filter \(s Plane\))] .5 1 0 -2 Mshowa p .002 w .5 .1 m .50625 .1 L s P [(-4000)] .4875 .1 1 0 Mshowa p .002 w .5 .3 m .50625 .3 L s P [(-2000)] .4875 .3 1 0 Mshowa p .002 w .5 .7 m .50625 .7 L s P [(2000)] .4875 .7 1 0 Mshowa p .002 w .5 .9 m .50625 .9 L s P [(4000)] .4875 .9 1 0 Mshowa p .001 w .5 .14 m .50375 .14 L s P p .001 w .5 .18 m .50375 .18 L s P p .001 w .5 .22 m .50375 .22 L s P p .001 w .5 .26 m .50375 .26 L s P p .001 w .5 .34 m .50375 .34 L s P p .001 w .5 .38 m .50375 .38 L s P p .001 w .5 .42 m .50375 .42 L s P p .001 w .5 .46 m .50375 .46 L s P p .001 w .5 .54 m .50375 .54 L s P p .001 w .5 .58 m .50375 .58 L s P p .001 w .5 .62 m .50375 .62 L s P p .001 w .5 .66 m .50375 .66 L s P p .001 w .5 .74 m .50375 .74 L s P p .001 w .5 .78 m .50375 .78 L s P p .001 w .5 .82 m .50375 .82 L s P p .001 w .5 .86 m .50375 .86 L s P p .001 w .5 .06 m .50375 .06 L s P p .001 w .5 .02 m .50375 .02 L s P p .001 w .5 .94 m .50375 .94 L s P p .001 w .5 .98 m .50375 .98 L s P p .002 w .5 0 m .5 1 L s P P 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath p .008 w .1883 -4.43757 Mdot .1883 5.43757 Mdot .19796 -4.28202 Mdot .19796 5.28202 Mdot .20732 -4.13129 Mdot .20732 5.13129 Mdot .21638 -3.98523 Mdot .21638 4.98523 Mdot .22516 -3.8437 Mdot .22516 4.8437 Mdot .23365 -3.70654 Mdot .23365 4.70654 Mdot .24188 -3.57362 Mdot .24188 4.57362 Mdot .24985 -3.44481 Mdot .24985 4.44481 Mdot .25757 -3.31997 Mdot .25757 4.31997 Mdot .26504 -3.19899 Mdot .26504 4.19899 Mdot .27228 -3.08173 Mdot .27228 4.08173 Mdot .27928 -2.96808 Mdot .27928 3.96808 Mdot .28607 -2.85794 Mdot .28607 3.85794 Mdot .29264 -2.75117 Mdot .29264 3.75117 Mdot .299 -2.64768 Mdot .299 3.64768 Mdot .30515 -2.54737 Mdot .30515 3.54737 Mdot .31111 -2.45013 Mdot .31111 3.45013 Mdot .31688 -2.35586 Mdot .31688 3.35586 Mdot .32247 -2.26447 Mdot .32247 3.26447 Mdot .32787 -2.17587 Mdot .32787 3.17587 Mdot .33311 -2.08996 Mdot .33311 3.08996 Mdot .33817 -2.00667 Mdot .33817 3.00667 Mdot .34307 -1.9259 Mdot .34307 2.9259 Mdot .34781 -1.84758 Mdot .34781 2.84758 Mdot .3524 -1.77163 Mdot .3524 2.77163 Mdot .35684 -1.69796 Mdot .35684 2.69796 Mdot .36114 -1.62651 Mdot .36114 2.62651 Mdot .3653 -1.55721 Mdot .3653 2.55721 Mdot .36932 -1.48997 Mdot .36932 2.48997 Mdot .37321 -1.42475 Mdot .37321 2.42475 Mdot .37697 -1.36146 Mdot .37697 2.36146 Mdot .38061 -1.30005 Mdot .38061 2.30005 Mdot .38412 -1.24046 Mdot .38412 2.24046 Mdot .38752 -1.18262 Mdot .38752 2.18262 Mdot .39081 -1.12647 Mdot .39081 2.12647 Mdot .39399 -1.07197 Mdot .39399 2.07197 Mdot .39706 -1.01905 Mdot .39706 2.01905 Mdot .40002 -0.96766 Mdot .40002 1.96766 Mdot .40289 -0.91775 Mdot .40289 1.91775 Mdot .40566 -0.86927 Mdot .40566 1.86927 Mdot .40833 -0.82217 Mdot .40833 1.82217 Mdot .41091 -0.77641 Mdot .41091 1.77641 Mdot .4134 -0.73193 Mdot .4134 1.73193 Mdot .4158 -0.68869 Mdot .4158 1.68869 Mdot .41812 -0.64665 Mdot .41812 1.64665 Mdot .42036 -0.60576 Mdot .42036 1.60576 Mdot .42251 -0.56599 Mdot .42251 1.56599 Mdot .42459 -0.5273 Mdot .42459 1.5273 Mdot .42659 -0.48964 Mdot .42659 1.48964 Mdot .42852 -0.45297 Mdot .42852 1.45297 Mdot .43037 -0.41727 Mdot .43037 1.41727 Mdot .43216 -0.38249 Mdot .43216 1.38249 Mdot .43388 -0.34861 Mdot .43388 1.34861 Mdot .43553 -0.31557 Mdot .43553 1.31557 Mdot .43711 -0.28336 Mdot .43711 1.28336 Mdot .43864 -0.25194 Mdot .43864 1.25194 Mdot .4401 -0.22127 Mdot .4401 1.22127 Mdot .4415 -0.19133 Mdot .4415 1.19133 Mdot .44284 -0.16209 Mdot .44284 1.16209 Mdot .44412 -0.13351 Mdot .44412 1.13351 Mdot .44535 -0.10558 Mdot .44535 1.10558 Mdot .44653 -0.07825 Mdot .44653 1.07825 Mdot .44765 -0.0515 Mdot .44765 1.0515 Mdot .44871 -0.0253 Mdot .44871 1.0253 Mdot .44973 .00037 Mdot .44973 .99963 Mdot .45069 .02553 Mdot .45069 .97447 Mdot .45161 .05023 Mdot .45161 .94977 Mdot .45248 .07447 Mdot .45248 .92553 Mdot .4533 .09829 Mdot .4533 .90171 Mdot .45407 .12172 Mdot .45407 .87828 Mdot .4548 .14477 Mdot .4548 .85523 Mdot .45548 .16747 Mdot .45548 .83253 Mdot .45612 .18985 Mdot .45612 .81015 Mdot .45671 .21193 Mdot .45671 .78807 Mdot .45727 .23375 Mdot .45727 .76625 Mdot .45778 .25533 Mdot .45778 .74467 Mdot .45824 .27669 Mdot .45824 .72331 Mdot .45867 .29788 Mdot .45867 .70212 Mdot .45905 .31894 Mdot .45905 .68106 Mdot .4594 .33991 Mdot .4594 .66009 Mdot .4597 .36086 Mdot .4597 .63914 Mdot .45996 .38189 Mdot .45996 .61811 Mdot .46019 .40318 Mdot .46019 .59682 Mdot .46037 .42505 Mdot .46037 .57495 Mdot .46052 .4484 Mdot .46052 .5516 Mdot .46063 .47774 Mdot .46063 .52226 Mdot P % End of Graphics MathPictureEnd :[font = subsection; inactive; dontPreserveAspect; startGroup] 3.3 - The Cascade Filters :[font = text; inactive; dontPreserveAspect] We can now define a cascade response. At each position in the cochlea the response is the product of the response of this section and all preceeding sections. In Mathematica this is written: ;[s] 3:0,0;164,1;175,0;194,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) Clear[CascadeFilter] (* :[font = input; initialization; dontPreserveAspect] *) CascadeFilter[index_, fs_] := CascadeFilter[index, fs] = Product[EarFilter[i,fs], {i, 0, index}] (* :[font = text; inactive; dontPreserveAspect] Since each term in this product is a second order function the cascade filter quickly becomes very high order. It is tempting to wrap ExpandNumerator and ExpandDenominator functions around the Product in this defintion but the numerical errors involved become large. For low index numbers we can display the results which look like: ;[s] 7:0,0;135,1;150,0;155,1;172,0;194,1;201,0;336,-1; 2:4,17,12,Geneva,0,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] CascadeFilter[1,16000] :[font = output; output; inactive; dontPreserveAspect; endGroup] ((-1.29243951097841 + 6.582389288672445*I)* (1. - 0.888865165780365*z)*(1. - 1.*z^2)* (0.927271479004749 + 1.925869361944066*z + z^2))/ ((0.6855426987788251 + 1.63664872366305*z + z^2)* (0.6773142161389575 + 1.643437413705994*z + z^2)) ;[o] 2 ((-1.29244 + 6.58239 I) (1. - 0.888865 z) (1. - 1. z ) 2 (0.927271 + 1.92587 z + z )) / 2 ((0.685543 + 1.63665 z + z ) 2 (0.677314 + 1.64344 z + z )) :[font = text; inactive; dontPreserveAspect] The frequency responses at a number of different places in the cochlea are shown below. In each case the maximum of the response is near the center frequency of the last stage of the filter. :[font = input; dontPreserveAspect; startGroup] FreqResponse[CascadeFilter[1,16000],16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 280; pictureHeight = 172; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.409357 0.00534845 [ [(2000)] .26238 .40936 0 2 Msboxa [(4000)] .50095 .40936 0 2 Msboxa [(6000)] .73953 .40936 0 2 Msboxa [(8000)] .9781 .40936 0 2 Msboxa [( f)] 1.025 .40936 -1 0 Msboxa [(-60)] .01131 .08845 1 0 Msboxa [(-40)] .01131 .19542 1 0 Msboxa [(-20)] .01131 .30239 1 0 Msboxa [(20)] .01131 .51633 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .40936 m .26238 .41561 L s P [(2000)] .26238 .40936 0 2 Mshowa p .002 w .50095 .40936 m .50095 .41561 L s P [(4000)] .50095 .40936 0 2 Mshowa p .002 w .73953 .40936 m .73953 .41561 L s P [(6000)] .73953 .40936 0 2 Mshowa p .002 w .9781 .40936 m .9781 .41561 L s P [(8000)] .9781 .40936 0 2 Mshowa p .001 w .07152 .40936 m .07152 .41311 L s P p .001 w .11924 .40936 m .11924 .41311 L s P p .001 w .16695 .40936 m .16695 .41311 L s P p .001 w .21467 .40936 m .21467 .41311 L s P p .001 w .3101 .40936 m .3101 .41311 L s P p .001 w .35781 .40936 m .35781 .41311 L s P p .001 w .40553 .40936 m .40553 .41311 L s P p .001 w .45324 .40936 m .45324 .41311 L s P p .001 w .54867 .40936 m .54867 .41311 L s P p .001 w .59638 .40936 m .59638 .41311 L s P p .001 w .6441 .40936 m .6441 .41311 L s P p .001 w .69181 .40936 m .69181 .41311 L s P p .001 w .78724 .40936 m .78724 .41311 L s P p .001 w .83496 .40936 m .83496 .41311 L s P p .001 w .88267 .40936 m .88267 .41311 L s P p .001 w .93038 .40936 m .93038 .41311 L s P [( f)] 1.025 .40936 -1 0 Mshowa p .002 w 0 .40936 m 1 .40936 L s P p .002 w .02381 .08845 m .03006 .08845 L s P [(-60)] .01131 .08845 1 0 Mshowa p .002 w .02381 .19542 m .03006 .19542 L s P [(-40)] .01131 .19542 1 0 Mshowa p .002 w .02381 .30239 m .03006 .30239 L s P [(-20)] .01131 .30239 1 0 Mshowa p .002 w .02381 .51633 m .03006 .51633 L s P [(20)] .01131 .51633 1 0 Mshowa p .001 w .02381 .10984 m .02756 .10984 L s P p .001 w .02381 .13124 m .02756 .13124 L s P p .001 w .02381 .15263 m .02756 .15263 L s P p .001 w .02381 .17402 m .02756 .17402 L s P p .001 w .02381 .21681 m .02756 .21681 L s P p .001 w .02381 .23821 m .02756 .23821 L s P p .001 w .02381 .2596 m .02756 .2596 L s P p .001 w .02381 .28099 m .02756 .28099 L s P p .001 w .02381 .32378 m .02756 .32378 L s P p .001 w .02381 .34518 m .02756 .34518 L s P p .001 w .02381 .36657 m .02756 .36657 L s P p .001 w .02381 .38796 m .02756 .38796 L s P p .001 w .02381 .43075 m .02756 .43075 L s P p .001 w .02381 .45214 m .02756 .45214 L s P p .001 w .02381 .47354 m .02756 .47354 L s P p .001 w .02381 .49493 m .02756 .49493 L s P p .001 w .02381 .53772 m .02756 .53772 L s P p .001 w .02381 .55911 m .02756 .55911 L s P p .001 w .02381 .58051 m .02756 .58051 L s P p .001 w .02381 .6019 m .02756 .6019 L s P p .001 w .02381 .06706 m .02756 .06706 L s P p .001 w .02381 .04566 m .02756 .04566 L s P p .001 w .02381 .02427 m .02756 .02427 L s P p .001 w .02381 .00287 m .02756 .00287 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .01472 m .02517 .12778 L .02641 .15799 L .02765 .17625 L .02889 .18945 L .03137 .20847 L .03385 .2224 L .03881 .24305 L .04377 .25886 L .05369 .28361 L .06361 .30336 L .08345 .33435 L .10328 .35824 L .14296 .39374 L .18264 .41981 L .22232 .44042 L .26199 .45751 L .30167 .47215 L .34135 .48503 L .38103 .49658 L .4207 .50713 L .46038 .5169 L .50006 .52609 L .53974 .53485 L .57941 .54331 L .61909 .55159 L .65877 .55982 L .69845 .56812 L .73813 .5766 L .7778 .5853 L .81748 .59405 L .83732 .59814 L .84724 .59998 L .85716 .60156 L .86212 .60221 L .86708 .60274 L .86956 .60295 L .87204 .60312 L .87328 .60318 L .87452 .60324 L .87576 .60328 L .877 .60331 L .87824 .60332 L .87948 .60332 L .88072 .6033 L .88196 .60326 L .8832 .60321 L .88444 .60314 L .88568 .60305 L .88692 .60293 L Mistroke .8894 .60264 L .89188 .60225 L .89436 .60175 L .89684 .60113 L .9018 .59948 L .90675 .59719 L .91171 .59411 L .91667 .59009 L .92163 .58495 L .92659 .57847 L .93155 .57041 L .93651 .56049 L .94147 .54833 L .94643 .5335 L .95139 .5154 L .95635 .49323 L .96131 .4659 L .96627 .43194 L .96875 .4118 L .97123 .38877 L .97247 .37564 L .97371 .36071 L .97495 .34257 L .97619 .3174 L Mfstroke P P % End of Graphics MathPictureEnd :[font = input; dontPreserveAspect; startGroup] FreqResponse[CascadeFilter[4,16000],16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.409232 0.00540797 [ [(2000)] .26238 .40923 0 2 Msboxa [(4000)] .50095 .40923 0 2 Msboxa [(6000)] .73953 .40923 0 2 Msboxa [(8000)] .9781 .40923 0 2 Msboxa [( f)] 1.025 .40923 -1 0 Msboxa [(-60)] .01131 .08475 1 0 Msboxa [(-40)] .01131 .19291 1 0 Msboxa [(-20)] .01131 .30107 1 0 Msboxa [(20)] .01131 .51739 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .40923 m .26238 .41548 L s P [(2000)] .26238 .40923 0 2 Mshowa p .002 w .50095 .40923 m .50095 .41548 L s P [(4000)] .50095 .40923 0 2 Mshowa p .002 w .73953 .40923 m .73953 .41548 L s P [(6000)] .73953 .40923 0 2 Mshowa p .002 w .9781 .40923 m .9781 .41548 L s P [(8000)] .9781 .40923 0 2 Mshowa p .001 w .07152 .40923 m .07152 .41298 L s P p .001 w .11924 .40923 m .11924 .41298 L s P p .001 w .16695 .40923 m .16695 .41298 L s P p .001 w .21467 .40923 m .21467 .41298 L s P p .001 w .3101 .40923 m .3101 .41298 L s P p .001 w .35781 .40923 m .35781 .41298 L s P p .001 w .40553 .40923 m .40553 .41298 L s P p .001 w .45324 .40923 m .45324 .41298 L s P p .001 w .54867 .40923 m .54867 .41298 L s P p .001 w .59638 .40923 m .59638 .41298 L s P p .001 w .6441 .40923 m .6441 .41298 L s P p .001 w .69181 .40923 m .69181 .41298 L s P p .001 w .78724 .40923 m .78724 .41298 L s P p .001 w .83496 .40923 m .83496 .41298 L s P p .001 w .88267 .40923 m .88267 .41298 L s P p .001 w .93038 .40923 m .93038 .41298 L s P [( f)] 1.025 .40923 -1 0 Mshowa p .002 w 0 .40923 m 1 .40923 L s P p .002 w .02381 .08475 m .03006 .08475 L s P [(-60)] .01131 .08475 1 0 Mshowa p .002 w .02381 .19291 m .03006 .19291 L s P [(-40)] .01131 .19291 1 0 Mshowa p .002 w .02381 .30107 m .03006 .30107 L s P [(-20)] .01131 .30107 1 0 Mshowa p .002 w .02381 .51739 m .03006 .51739 L s P [(20)] .01131 .51739 1 0 Mshowa p .001 w .02381 .10639 m .02756 .10639 L s P p .001 w .02381 .12802 m .02756 .12802 L s P p .001 w .02381 .14965 m .02756 .14965 L s P p .001 w .02381 .17128 m .02756 .17128 L s P p .001 w .02381 .21455 m .02756 .21455 L s P p .001 w .02381 .23618 m .02756 .23618 L s P p .001 w .02381 .25781 m .02756 .25781 L s P p .001 w .02381 .27944 m .02756 .27944 L s P p .001 w .02381 .3227 m .02756 .3227 L s P p .001 w .02381 .34434 m .02756 .34434 L s P p .001 w .02381 .36597 m .02756 .36597 L s P p .001 w .02381 .3876 m .02756 .3876 L s P p .001 w .02381 .43086 m .02756 .43086 L s P p .001 w .02381 .4525 m .02756 .4525 L s P p .001 w .02381 .47413 m .02756 .47413 L s P p .001 w .02381 .49576 m .02756 .49576 L s P p .001 w .02381 .06312 m .02756 .06312 L s P p .001 w .02381 .04149 m .02756 .04149 L s P p .001 w .02381 .01986 m .02756 .01986 L s P p .001 w .02381 .53902 m .02756 .53902 L s P p .001 w .02381 .56066 m .02756 .56066 L s P p .001 w .02381 .58229 m .02756 .58229 L s P p .001 w .02381 .60392 m .02756 .60392 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .01472 m .02517 .12904 L .02641 .15958 L .02765 .17805 L .02889 .1914 L .03137 .21063 L .03385 .22471 L .03881 .2456 L .04377 .26158 L .05369 .28661 L .06361 .30657 L .08345 .33793 L .10328 .36208 L .14296 .39801 L .18264 .42443 L .22232 .44533 L .26199 .46269 L .30167 .4776 L .34135 .49075 L .38103 .5026 L .4207 .51347 L .46038 .52361 L .50006 .53322 L .53974 .54249 L .57941 .55158 L .61909 .56066 L .65877 .5699 L .69845 .5795 L .73813 .58951 L .75796 .59453 L .7778 .59921 L .78772 .60118 L .79268 .602 L .79516 .60235 L .79764 .60266 L .80012 .60292 L .80136 .60303 L .8026 .60312 L .80384 .6032 L .80508 .60326 L .80632 .6033 L .80756 .60332 L .8088 .60332 L .81004 .6033 L .81128 .60325 L .81252 .60318 L .81376 .60309 L .815 .60297 L .81748 .60263 L .81996 .60216 L Mistroke .82244 .60155 L .82492 .60077 L .8274 .59982 L .83236 .59728 L .83732 .59377 L .84228 .58911 L .84724 .58308 L .8522 .57546 L .85716 .566 L .86212 .55442 L .86708 .5404 L .877 .50385 L .89684 .43583 L .91667 .38093 L .92163 .37122 L .92659 .36403 L .92907 .35966 L .93155 .35425 L .93651 .34 L .94643 .3055 L .95139 .29231 L .95635 .27884 L .95883 .27025 L .96131 .25978 L .96627 .23197 L .96875 .21401 L .97123 .19254 L .97247 .17996 L .97371 .16542 L .97495 .1475 L .97619 .12234 L Mfstroke P P % End of Graphics MathPictureEnd :[font = input; dontPreserveAspect; startGroup] FreqResponse[CascadeFilter[10,16000],16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.406579 0.00518073 [ [(2000)] .26238 .40658 0 2 Msboxa [(4000)] .50095 .40658 0 2 Msboxa [(6000)] .73953 .40658 0 2 Msboxa [(8000)] .9781 .40658 0 2 Msboxa [( f)] 1.025 .40658 -1 0 Msboxa [(-60)] .01131 .09574 1 0 Msboxa [(-40)] .01131 .19935 1 0 Msboxa [(-20)] .01131 .30296 1 0 Msboxa [(20)] .01131 .51019 1 0 Msboxa [(40)] .01131 .61381 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .40658 m .26238 .41283 L s P [(2000)] .26238 .40658 0 2 Mshowa p .002 w .50095 .40658 m .50095 .41283 L s P [(4000)] .50095 .40658 0 2 Mshowa p .002 w .73953 .40658 m .73953 .41283 L s P [(6000)] .73953 .40658 0 2 Mshowa p .002 w .9781 .40658 m .9781 .41283 L s P [(8000)] .9781 .40658 0 2 Mshowa p .001 w .07152 .40658 m .07152 .41033 L s P p .001 w .11924 .40658 m .11924 .41033 L s P p .001 w .16695 .40658 m .16695 .41033 L s P p .001 w .21467 .40658 m .21467 .41033 L s P p .001 w .3101 .40658 m .3101 .41033 L s P p .001 w .35781 .40658 m .35781 .41033 L s P p .001 w .40553 .40658 m .40553 .41033 L s P p .001 w .45324 .40658 m .45324 .41033 L s P p .001 w .54867 .40658 m .54867 .41033 L s P p .001 w .59638 .40658 m .59638 .41033 L s P p .001 w .6441 .40658 m .6441 .41033 L s P p .001 w .69181 .40658 m .69181 .41033 L s P p .001 w .78724 .40658 m .78724 .41033 L s P p .001 w .83496 .40658 m .83496 .41033 L s P p .001 w .88267 .40658 m .88267 .41033 L s P p .001 w .93038 .40658 m .93038 .41033 L s P [( f)] 1.025 .40658 -1 0 Mshowa p .002 w 0 .40658 m 1 .40658 L s P p .002 w .02381 .09574 m .03006 .09574 L s P [(-60)] .01131 .09574 1 0 Mshowa p .002 w .02381 .19935 m .03006 .19935 L s P [(-40)] .01131 .19935 1 0 Mshowa p .002 w .02381 .30296 m .03006 .30296 L s P [(-20)] .01131 .30296 1 0 Mshowa p .002 w .02381 .51019 m .03006 .51019 L s P [(20)] .01131 .51019 1 0 Mshowa p .002 w .02381 .61381 m .03006 .61381 L s P [(40)] .01131 .61381 1 0 Mshowa p .001 w .02381 .11646 m .02756 .11646 L s P p .001 w .02381 .13718 m .02756 .13718 L s P p .001 w .02381 .1579 m .02756 .1579 L s P p .001 w .02381 .17863 m .02756 .17863 L s P p .001 w .02381 .22007 m .02756 .22007 L s P p .001 w .02381 .2408 m .02756 .2408 L s P p .001 w .02381 .26152 m .02756 .26152 L s P p .001 w .02381 .28224 m .02756 .28224 L s P p .001 w .02381 .32369 m .02756 .32369 L s P p .001 w .02381 .34441 m .02756 .34441 L s P p .001 w .02381 .36513 m .02756 .36513 L s P p .001 w .02381 .38586 m .02756 .38586 L s P p .001 w .02381 .4273 m .02756 .4273 L s P p .001 w .02381 .44803 m .02756 .44803 L s P p .001 w .02381 .46875 m .02756 .46875 L s P p .001 w .02381 .48947 m .02756 .48947 L s P p .001 w .02381 .53092 m .02756 .53092 L s P p .001 w .02381 .55164 m .02756 .55164 L s P p .001 w .02381 .57236 m .02756 .57236 L s P p .001 w .02381 .59309 m .02756 .59309 L s P p .001 w .02381 .07501 m .02756 .07501 L s P p .001 w .02381 .05429 m .02756 .05429 L s P p .001 w .02381 .03357 m .02756 .03357 L s P p .001 w .02381 .01284 m .02756 .01284 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .03732 m .02517 .14684 L .02641 .1761 L .02765 .19379 L .02889 .20657 L .03137 .225 L .03385 .23849 L .03881 .2585 L .04377 .27382 L .05369 .29781 L .06361 .31695 L .08345 .34704 L .10328 .37026 L .14296 .4049 L .18264 .43052 L .22232 .45098 L .26199 .46817 L .30167 .48317 L .34135 .49669 L .38103 .50921 L .4207 .52111 L .46038 .53276 L .50006 .5445 L .53974 .55674 L .57941 .57 L .61909 .58473 L .63893 .59249 L .64885 .59624 L .65877 .59964 L .66373 .60108 L .66621 .60171 L .66869 .60225 L .67117 .6027 L .67241 .60289 L .67365 .60304 L .67489 .60317 L .67613 .60325 L .67737 .60331 L .67861 .60332 L .67985 .60329 L .68109 .60321 L .68233 .60308 L .68357 .60291 L .68481 .60267 L .68605 .60238 L .68853 .60159 L .69101 .60051 L .69349 .59911 L .69597 .59734 L .69845 .59517 L Mistroke .70341 .58945 L .70837 .58157 L .71333 .57111 L .71829 .55759 L .72821 .5194 L .73317 .49588 L .73565 .48515 L .73689 .48062 L .73813 .4768 L .73936 .47368 L .7406 .47116 L .74308 .4672 L .74556 .46347 L .74804 .45899 L .753 .44649 L .75548 .43888 L .75796 .43142 L .7592 .42816 L .76044 .42541 L .76168 .42325 L .76292 .42166 L .76416 .42054 L .7654 .41974 L .76788 .41839 L .76912 .41756 L .77036 .4165 L .7716 .41514 L .77284 .41345 L .77532 .40908 L .7778 .40355 L .78028 .39744 L .78276 .39176 L .784 .38946 L .78524 .38768 L .78648 .38642 L .78772 .38564 L .7902 .38497 L .79144 .38477 L .79268 .38448 L .79392 .38401 L .79516 .38327 L .79764 .38085 L .81748 .35644 L .85716 .31342 L .85964 .30891 L .86088 .3071 L .86212 .3057 L .86336 .30472 L .8646 .30412 L .86708 .30371 L Mistroke .86832 .30366 L .86956 .30358 L .8708 .30336 L .87204 .30294 L .87328 .30228 L .87452 .30135 L .877 .29861 L .89684 .27328 L .91667 .24194 L .91791 .24006 L .91915 .23853 L .92163 .2363 L .92411 .23457 L .92659 .23259 L .92907 .22983 L .93155 .22598 L .93403 .22092 L .93651 .21469 L .94643 .1854 L .95139 .17418 L .95387 .16875 L .95635 .16245 L .95883 .1547 L .96131 .14509 L .96379 .13332 L .96627 .11912 L .96875 .10215 L .97123 .08177 L .97247 .06979 L .97371 .05592 L .97495 .0388 L .97619 .01472 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Note the response curves for later stages (higher indices) take a long time to compute. The 30'th stage, for example, is actually the product of 31 second order sections or a 62nd order filter. :[font = input; dontPreserveAspect; startGroup] FreqResponse[CascadeFilter[30,16000],16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.441047 0.00424036 [ [(2000)] .26238 .44105 0 2 Msboxa [(4000)] .50095 .44105 0 2 Msboxa [(6000)] .73953 .44105 0 2 Msboxa [(8000)] .9781 .44105 0 2 Msboxa [( f)] 1.025 .44105 -1 0 Msboxa [(-100)] .01131 .01701 1 0 Msboxa [(-80)] .01131 .10182 1 0 Msboxa [(-60)] .01131 .18663 1 0 Msboxa [(-40)] .01131 .27143 1 0 Msboxa [(-20)] .01131 .35624 1 0 Msboxa [(20)] .01131 .52585 1 0 Msboxa [(40)] .01131 .61066 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .44105 m .26238 .4473 L s P [(2000)] .26238 .44105 0 2 Mshowa p .002 w .50095 .44105 m .50095 .4473 L s P [(4000)] .50095 .44105 0 2 Mshowa p .002 w .73953 .44105 m .73953 .4473 L s P [(6000)] .73953 .44105 0 2 Mshowa p .002 w .9781 .44105 m .9781 .4473 L s P [(8000)] .9781 .44105 0 2 Mshowa p .001 w .07152 .44105 m .07152 .4448 L s P p .001 w .11924 .44105 m .11924 .4448 L s P p .001 w .16695 .44105 m .16695 .4448 L s P p .001 w .21467 .44105 m .21467 .4448 L s P p .001 w .3101 .44105 m .3101 .4448 L s P p .001 w .35781 .44105 m .35781 .4448 L s P p .001 w .40553 .44105 m .40553 .4448 L s P p .001 w .45324 .44105 m .45324 .4448 L s P p .001 w .54867 .44105 m .54867 .4448 L s P p .001 w .59638 .44105 m .59638 .4448 L s P p .001 w .6441 .44105 m .6441 .4448 L s P p .001 w .69181 .44105 m .69181 .4448 L s P p .001 w .78724 .44105 m .78724 .4448 L s P p .001 w 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.22142 L .91667 .19795 L .91791 .19654 L .91915 .19539 L .92163 .19378 L .92411 .19256 L .92535 .19191 L .92659 .19114 L .92783 .19021 L .92907 .18907 L .93155 .18608 L .93403 .18211 L .93651 .17717 L .94643 .15371 L .95139 .14474 L .95387 .14038 L .95635 .1353 L .95883 .12903 L .96131 .12123 L .96379 .11165 L .96627 .10007 L .96875 .08622 L .97123 .06957 L .97247 .05978 L .97371 .04843 L .97495 .03442 L .97619 .01472 L Mfstroke P P % End of Graphics MathPictureEnd :[font = input; dontPreserveAspect; startGroup] FreqResponse[CascadeFilter[60,16000],16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.494282 0.00392717 [ [(2000)] .26238 .49428 0 2 Msboxa [(4000)] .50095 .49428 0 2 Msboxa [(6000)] .73953 .49428 0 2 Msboxa [(8000)] .9781 .49428 0 2 Msboxa [( f)] 1.025 .49428 -1 0 Msboxa [(-120)] .01131 .02302 1 0 Msboxa [(-100)] .01131 .10157 1 0 Msboxa [(-80)] .01131 .18011 1 0 Msboxa [(-60)] .01131 .25865 1 0 Msboxa [(-40)] .01131 .3372 1 0 Msboxa [(-20)] .01131 .41574 1 0 Msboxa [(20)] .01131 .57283 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .49428 m .26238 .50053 L s P [(2000)] .26238 .49428 0 2 Mshowa p .002 w .50095 .49428 m .50095 .50053 L s P [(4000)] .50095 .49428 0 2 Mshowa p .002 w .73953 .49428 m .73953 .50053 L s P [(6000)] .73953 .49428 0 2 Mshowa p .002 w .9781 .49428 m .9781 .50053 L s P [(8000)] .9781 .49428 0 2 Mshowa p .001 w .07152 .49428 m .07152 .49803 L s P p .001 w .11924 .49428 m .11924 .49803 L s P p .001 w .16695 .49428 m .16695 .49803 L s P p .001 w .21467 .49428 m .21467 .49803 L s P p .001 w .3101 .49428 m .3101 .49803 L s P p .001 w .35781 .49428 m .35781 .49803 L s P p .001 w .40553 .49428 m .40553 .49803 L s P p .001 w .45324 .49428 m .45324 .49803 L s P p .001 w .54867 .49428 m .54867 .49803 L s P p .001 w .59638 .49428 m .59638 .49803 L s P p .001 w .6441 .49428 m .6441 .49803 L s P p .001 w .69181 .49428 m .69181 .49803 L s P p .001 w .78724 .49428 m .78724 .49803 L s P p .001 w .83496 .49428 m .83496 .49803 L s P p .001 w .88267 .49428 m .88267 .49803 L s P p .001 w .93038 .49428 m .93038 .49803 L s P [( f)] 1.025 .49428 -1 0 Mshowa p .002 w 0 .49428 m 1 .49428 L s P p .002 w .02381 .02302 m .03006 .02302 L s P [(-120)] .01131 .02302 1 0 Mshowa p .002 w .02381 .10157 m .03006 .10157 L s P [(-100)] .01131 .10157 1 0 Mshowa p .002 w .02381 .18011 m .03006 .18011 L s P [(-80)] .01131 .18011 1 0 Mshowa p .002 w .02381 .25865 m .03006 .25865 L s P [(-60)] .01131 .25865 1 0 Mshowa p .002 w .02381 .3372 m .03006 .3372 L s P [(-40)] .01131 .3372 1 0 Mshowa p .002 w .02381 .41574 m .03006 .41574 L s P [(-20)] .01131 .41574 1 0 Mshowa p .002 w .02381 .57283 m .03006 .57283 L s P [(20)] .01131 .57283 1 0 Mshowa p .001 w .02381 .03873 m .02756 .03873 L s P p .001 w .02381 .05444 m .02756 .05444 L s P p .001 w .02381 .07015 m .02756 .07015 L s P p .001 w .02381 .08586 m .02756 .08586 L s P p .001 w .02381 .11727 m .02756 .11727 L s P p .001 w .02381 .13298 m .02756 .13298 L s P p .001 w .02381 .14869 m .02756 .14869 L s P p .001 w .02381 .1644 m .02756 .1644 L s P p .001 w .02381 .19582 m .02756 .19582 L s P p .001 w .02381 .21153 m .02756 .21153 L s P p .001 w .02381 .22723 m .02756 .22723 L s P p .001 w .02381 .24294 m .02756 .24294 L s P p .001 w .02381 .27436 m .02756 .27436 L s P p .001 w .02381 .29007 m .02756 .29007 L s P p .001 w .02381 .30578 m .02756 .30578 L s P p .001 w .02381 .32149 m .02756 .32149 L s P p .001 w .02381 .3529 m .02756 .3529 L s P p .001 w .02381 .36861 m .02756 .36861 L s P p .001 w .02381 .38432 m .02756 .38432 L s P p .001 w .02381 .40003 m .02756 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.60917 .23353 L .61041 .23209 L .61165 .23128 L .61289 .23121 L .61413 .23183 L .61661 .23418 L .61785 .23535 L Mistroke .61909 .23622 L .62033 .23667 L .62157 .23663 L .62281 .23607 L .62405 .23503 L .62653 .23186 L .62777 .23006 L .62901 .22843 L .63025 .22726 L .63149 .22673 L .63273 .22692 L .63397 .22769 L .63645 .23001 L .63769 .23106 L .63893 .2318 L .64017 .23213 L .64141 .23198 L .64265 .23135 L .64389 .23028 L .64637 .22712 L .64761 .22535 L .64885 .22375 L .65009 .22256 L .65133 .22197 L .65257 .22205 L .65381 .2227 L .65629 .22487 L .65753 .22592 L .65877 .2267 L .66001 .22712 L .66125 .22711 L .66249 .22664 L .66373 .22573 L .66621 .22285 L .66745 .22112 L .66869 .21942 L .66993 .21799 L .67117 .21704 L .67241 .2167 L .67365 .21698 L .67613 .21875 L .67737 .21983 L .67861 .22077 L .67985 .22143 L .68109 .22173 L .68233 .22163 L .68357 .22109 L .68481 .22015 L .68605 .21885 L .68853 .21556 L Mistroke .68977 .21388 L .69101 .21244 L .69225 .21144 L .69349 .211 L .69473 .21114 L .69597 .21176 L .69845 .2137 L .69969 .21463 L .70093 .21534 L .70217 .21573 L .70341 .21574 L .70465 .21536 L .70589 .21458 L .70837 .21199 L .71085 .20864 L .71209 .20705 L .71333 .20576 L .71457 .20493 L .71581 .20465 L .71705 .2049 L .71829 .20556 L .72077 .2074 L .72201 .20824 L .72325 .20885 L .72449 .20915 L .72573 .20909 L .72697 .20866 L .72821 .20786 L .73069 .2053 L .73317 .20198 L .73441 .20036 L .73565 .199 L .73689 .19805 L .73813 .19761 L .73936 .19768 L .7406 .19818 L .74308 .19982 L .74432 .20064 L .74556 .20129 L .7468 .20168 L .74804 .20175 L .74928 .20147 L .75052 .20084 L .753 .1986 L .75548 .19542 L .75672 .19373 L .75796 .19217 L .7592 .19088 L .76044 .19001 L .76168 .18962 L Mistroke .76292 .1897 L .7654 .19087 L .76664 .19166 L .76788 .1924 L .76912 .19297 L .77036 .1933 L .7716 .19333 L .77284 .19304 L .77408 .19242 L .77532 .19147 L .7778 .18874 L .78028 .18539 L .78152 .18375 L .78276 .18233 L .784 .18125 L .78524 .18061 L .78648 .18043 L .78772 .18066 L .7902 .18185 L .79144 .18254 L .79268 .18313 L .79392 .18353 L .79516 .18368 L .7964 .18355 L .79764 .1831 L .79888 .18233 L .80012 .18127 L .8026 .17839 L .80508 .17497 L .80632 .17331 L .80756 .17186 L .8088 .17073 L .81004 .17002 L .81128 .16973 L .81252 .16983 L .815 .17076 L .81624 .17135 L .81748 .17186 L .81872 .17221 L .81996 .17233 L .8212 .17219 L .82244 .17176 L .82368 .17103 L .82492 .17001 L .8274 .16721 L .82988 .16374 L .83236 .16032 L .8336 .15891 L .83484 .15784 L .83608 .15717 L Mistroke .83732 .15689 L .83856 .15695 L .8398 .15726 L .84104 .15768 L .84228 .15812 L .84352 .15847 L .84476 .15865 L .846 .15862 L .84724 .15834 L .84848 .15778 L .84972 .15694 L .8522 .15446 L .85468 .1511 L .85716 .14735 L .8584 .14556 L .85964 .14396 L .86088 .14266 L .86212 .14171 L .86336 .14114 L .8646 .14091 L .86708 .14114 L .86832 .14138 L .86956 .14159 L .8708 .14168 L .87204 .14158 L .87328 .14126 L .87452 .14068 L .877 .13874 L .89684 .11955 L .91667 .09401 L .91791 .09246 L .91915 .09122 L .92163 .08947 L .92411 .08816 L .92535 .08745 L .92659 .08662 L .92783 .0856 L .92907 .08436 L .93155 .0811 L .93403 .07675 L .93651 .07135 L .94643 .04565 L .95139 .03582 L .95387 .03105 L .95635 .02548 L .95883 .0186 L .96131 .01004 L Mfstroke .96368 0 m .96131 .01004 L s s s s s s s s s P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] We can evaluate the response of the fifth cascaded stage on the z-plane using the expression below. Note that the first five stages includes the first 10 poles plus 10 zeros with a higher q. The zeros lead to the sharp dropoff. :[font = input; dontPreserveAspect; startGroup] Plot3D[Abs[FilterEval[CascadeFilter[5,16000], x + I y]], {x,-1,1}, {y,-1,1}, PlotPoints->64, Lighting->True]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 51; pictureWidth = 309; pictureHeight = 253; endGroup] %! %%Creator: Mathematica %%AspectRatio: .82055 MathPictureStart %% SurfaceGraphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0249355 0.99742 -0.0396341 0.99742 [ [(-1)] .05113 .25884 1 .93395 Msboxa [(-0.5)] .1926 .20316 .96648 1 Msboxa [(0)] .34275 .1441 .86223 1 Msboxa [(0.5)] .50241 .08133 .75799 1 Msboxa [(1)] .6725 .0145 .65374 1 Msboxa [(-1)] .69093 .02039 -1 .39157 Msboxa [(-0.5)] .76901 .13994 -1 .36413 Msboxa [(0)] .83872 .24668 -1 .34028 Msboxa [(0.5)] .90133 .34257 -1 .31937 Msboxa [(1)] .95788 .42917 -1 .30087 Msboxa [(0)] .04785 .27682 1 -0.3906 Msboxa [(50)] .03875 .33381 1 -0.37932 Msboxa [(100)] .0293 .39306 1 -0.36756 Msboxa [(150)] .01946 .45471 1 -0.35527 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 .06024 .26735 m .0648 .2716 L s P [(-1)] .05113 .25884 1 .93395 Mshowa p .002 w .20126 .21213 m .2056 .21661 L s P [(-0.5)] .1926 .20316 .96648 1 Mshowa p .002 w .35089 .15354 m .35496 .15826 L s P [(0)] .34275 .1441 .86223 1 Mshowa p .002 w .50994 .09126 m .5137 .09623 L s P [(0.5)] .50241 .08133 .75799 1 Mshowa p .002 w .67932 .02494 m .68274 .03015 L s P [(1)] .6725 .0145 .65374 1 Mshowa p .001 w .08779 .25656 m .0905 .25914 L s P p .001 w .11567 .24565 m .11835 .24825 L s P p .001 w .14386 .2346 m .14652 .23724 L s P p .001 w .17239 .22343 m .17502 .22609 L s P p .001 w .23048 .20069 m .23305 .20341 L s P p .001 w .26004 .18911 m .26258 .19186 L s P p .001 w .28996 .1774 m .29247 .18017 L s P p .001 w .32024 .16554 m .32272 .16835 L s P p .001 w .38192 .14139 m .38433 .14425 L s P p .001 w .41333 .12909 m .4157 .13198 L s P p .001 w .44513 .11664 m .44747 .11956 L s P p .001 w .47733 .10403 m .47963 .10698 L s P p .001 w .54296 .07833 m .54518 .08134 L s P p .001 w .5764 .06524 m .57857 .06828 L s P p .001 w .61027 .05198 m .6124 .05505 L s P p .001 w .64457 .03854 m .64666 .04164 L s P P p p .002 w .67932 .02494 m .94594 .43277 L s P p .002 w .67932 .02494 m .67352 .02721 L s P [(-1)] .69093 .02039 -1 .39157 Mshowa p .002 w .7573 .14421 m .75144 .14634 L s P [(-0.5)] .76901 .13994 -1 .36413 Mshowa p .002 w .82692 .2507 m .82101 .25271 L s P [(0)] .83872 .24668 -1 .34028 Mshowa p .002 w .88945 .34636 m .88352 .34826 L s P [(0.5)] .90133 .34257 -1 .31937 Mshowa p .002 w .94594 .43277 m .93997 .43456 L s P [(1)] .95788 .42917 -1 .30087 Mshowa p .001 w .69566 .04992 m .69217 .05127 L s P p .001 w .71161 .07432 m .70811 .07565 L s P p .001 w .72719 .09816 m .72369 .09947 L s P p .001 w .74242 .12145 m .73891 .12274 L s P p .001 w .77184 .16646 m .76832 .16772 L s P p .001 w .78607 .18822 m .78254 .18947 L s P p .001 w .79998 .2095 m .79645 .21074 L s P p .001 w .81359 .23032 m .81006 .23154 L s P p .001 w .83995 .27064 m .83641 .27183 L s P p .001 w .85272 .29017 m .84917 .29135 L s P p .001 w .86522 .30929 m .86166 .31045 L s P p .001 w .87746 .32802 m .8739 .32917 L s P p .001 w .90121 .36434 m .89764 .36546 L s P p .001 w .91272 .38196 m .90915 .38307 L s P p .001 w .92402 .39923 m .92044 .40033 L s P p .001 w .93508 .41616 m .93151 .41725 L s P P p p .002 w .06024 .26735 m .02494 .49015 L s P p .002 w .05946 .27229 m .06527 .27002 L s P [(0)] .04785 .27682 1 -0.3906 Mshowa p .002 w .05041 .32939 m .05624 .32718 L s P [(50)] .03875 .33381 1 -0.37932 Mshowa p .002 w .041 .38876 m .04685 .38661 L s P [(100)] .0293 .39306 1 -0.36756 Mshowa p .002 w .03121 .45054 m .03709 .44845 L s P [(150)] .01946 .45471 1 -0.35527 Mshowa p .001 w .05768 .28353 m .06116 .28218 L s P p .001 w .05588 .29486 m .05937 .29352 L s P p .001 w .05407 .30628 m .05756 .30494 L s P p .001 w .05225 .31779 m .05574 .31646 L s P p .001 w .04856 .34108 m .05206 .33976 L s P p .001 w .04669 .35286 m .05019 .35154 L s P p .001 w .04481 .36473 m .04832 .36342 L s P p .001 w .04291 .3767 m .04642 .3754 L s P p .001 w .03908 .40092 m .04259 .39964 L s P p .001 w .03713 .41317 m .04065 .4119 L s P p .001 w .03518 .42553 m .03869 .42426 L s P p .001 w .0332 .43798 m .03672 .43672 L s P p .001 w .02921 .4632 m .03273 .46195 L s P p .001 w .02718 .47596 m .03071 .47472 L s P p .001 w .02514 .48883 m .02868 .4876 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 .609 .735 .935 r .0015 w .40461 .612 .40924 .61612 .41697 .61465 .41235 .61063 Metetra .605 .739 .94 r .41235 .61063 .41697 .61465 .42474 .61322 .42013 .6093 Metetra .6 .744 .945 r .42013 .6093 .42474 .61322 .43252 .6118 .42793 .608 Metetra .597 .749 .95 r .42793 .608 .43252 .6118 .44034 .61039 .43575 .60672 Metetra .594 .755 .955 r .43575 .60672 .44034 .61039 .44819 .60897 .44361 .60543 Metetra .592 .763 .96 r .44361 .60543 .44819 .60897 .45606 .60751 .4515 .60412 Metetra .592 .77 .965 r .4515 .60412 .45606 .60751 .46396 .60601 .45941 .60275 Metetra .593 .779 .969 r .45941 .60275 .46396 .60601 .4719 .60443 .46736 .6013 Metetra .597 .788 .972 r .46736 .6013 .4719 .60443 .47986 .60277 .47534 .59975 Metetra .603 .796 .974 r .47534 .59975 .47986 .60277 .48785 .60099 .48335 .59806 Metetra .61 .804 .974 r .48335 .59806 .48785 .60099 .49587 .59909 .49139 .59624 Metetra .62 .812 .974 r .49139 .59624 .49587 .59909 .50392 .59705 .49945 .59425 Metetra .63 .818 .973 r .49945 .59425 .50392 .59705 .51199 .59487 .50755 .59209 Metetra .64 .822 .97 r .50755 .59209 .51199 .59487 .52009 .59254 .51567 .58975 Metetra .651 .825 .967 r .51567 .58975 .52009 .59254 .52822 .59006 .52382 .58725 Metetra .661 .827 .963 r .52382 .58725 .52822 .59006 .53637 .58745 .53199 .58459 Metetra .67 .827 .959 r .53199 .58459 .53637 .58745 .54455 .58471 .54018 .58177 Metetra .678 .825 .954 r .54018 .58177 .54455 .58471 .55274 .58184 .5484 .57882 Metetra .685 .823 .949 r .5484 .57882 .55274 .58184 .56096 .57887 .55664 .57575 Metetra .691 .819 .944 r .55664 .57575 .56096 .57887 .5692 .57581 .5649 .57258 Metetra .695 .815 .939 r .5649 .57258 .5692 .57581 .57747 .57267 .57319 .56933 Metetra .699 .811 .935 r .57319 .56933 .57747 .57267 .58575 .56946 .58149 .566 Metetra .701 .806 .93 r .58149 .566 .58575 .56946 .59406 .5662 .58981 .56263 Metetra .702 .801 .926 r .58981 .56263 .59406 .5662 .60238 .5629 .59816 .55921 Metetra .703 .797 .923 r .59816 .55921 .60238 .5629 .61073 .55957 .60653 .55577 Metetra .704 .792 .919 r .60653 .55577 .61073 .55957 .6191 .55622 .61491 .55231 Metetra .703 .787 .916 r .61491 .55231 .6191 .55622 .62749 .55286 .62332 .54885 Metetra .703 .783 .914 r .62332 .54885 .62749 .55286 .63591 .54949 .63176 .54538 Metetra .702 .779 .911 r .63176 .54538 .63591 .54949 .64434 .54613 .64021 .54193 Metetra .701 .775 .909 r .64021 .54193 .64434 .54613 .6528 .54277 .64869 .53849 Metetra .7 .772 .907 r .64869 .53849 .6528 .54277 .66128 .53943 .65719 .53506 Metetra .698 .768 .906 r .65719 .53506 .66128 .53943 .66979 .5361 .66571 .53166 Metetra .697 .765 .904 r .66571 .53166 .66979 .5361 .67832 .53279 .67426 .52828 Metetra .695 .762 .903 r .67426 .52828 .67832 .53279 .68688 .5295 .68283 .52492 Metetra .694 .76 .902 r .68283 .52492 .68688 .5295 .69546 .52623 .69143 .52159 Metetra .692 .757 .901 r .69143 .52159 .69546 .52623 .70406 .52298 .70005 .51829 Metetra .691 .755 .901 r .70005 .51829 .70406 .52298 .71269 .51975 .7087 .51501 Metetra .69 .753 .9 r .7087 .51501 .71269 .51975 .72135 .51655 .71738 .51175 Metetra .688 .751 .9 r .71738 .51175 .72135 .51655 .73003 .51336 .72608 .50852 Metetra .687 .75 .899 r .72608 .50852 .73003 .51336 .73875 .5102 .73481 .50532 Metetra .685 .748 .899 r .73481 .50532 .73875 .5102 .74748 .50706 .74357 .50214 Metetra .684 .747 .899 r .74357 .50214 .74748 .50706 .75625 .50394 .75235 .49898 Metetra .683 .746 .899 r .75235 .49898 .75625 .50394 .76504 .50084 .76117 .49585 Metetra .682 .745 .899 r .76117 .49585 .76504 .50084 .77386 .49775 .77001 .49273 Metetra .68 .743 .899 r .77001 .49273 .77386 .49775 .78271 .49469 .77887 .48964 Metetra .679 .743 .899 r .77887 .48964 .78271 .49469 .79159 .49164 .78777 .48656 Metetra .678 .742 .899 r .78777 .48656 .79159 .49164 .8005 .4886 .7967 .4835 Metetra .677 .741 .899 r .7967 .4835 .8005 .4886 .80943 .48558 .80566 .48046 Metetra .676 .74 .899 r .80566 .48046 .80943 .48558 .8184 .48257 .81464 .47743 Metetra .675 .74 .899 r .81464 .47743 .8184 .48257 .82739 .47958 .82366 .47441 Metetra .675 .739 .899 r .82366 .47441 .82739 .47958 .83642 .4766 .8327 .4714 Metetra .674 .739 .899 r .8327 .4714 .83642 .4766 .84547 .47362 .84178 .46841 Metetra .673 .738 .899 r .84178 .46841 .84547 .47362 .85456 .47066 .85088 .46543 Metetra .672 .738 .899 r .85088 .46543 .85456 .47066 .86367 .46771 .86002 .46245 Metetra .672 .737 .9 r .86002 .46245 .86367 .46771 .87282 .46476 .86919 .45949 Metetra .671 .737 .9 r .86919 .45949 .87282 .46476 .882 .46182 .87839 .45653 Metetra .67 .737 .9 r .87839 .45653 .882 .46182 .89121 .45888 .88762 .45358 Metetra .67 .737 .9 r .88762 .45358 .89121 .45888 .90044 .45595 .89688 .45063 Metetra .669 .736 .9 r .89688 .45063 .90044 .45595 .90972 .45303 .90617 .44769 Metetra .669 .736 .901 r .90617 .44769 .90972 .45303 .91902 .45011 .9155 .44475 Metetra .668 .736 .901 r .9155 .44475 .91902 .45011 .92835 .44719 .92485 .44182 Metetra .668 .736 .901 r .92485 .44182 .92835 .44719 .93772 .44427 .93424 .43888 Metetra .667 .736 .901 r .93424 .43888 .93772 .44427 .94712 .44136 .94366 .43595 Metetra .602 .733 .937 r .39995 .60786 .40461 .612 .41235 .61063 .40771 .60659 Metetra .596 .737 .942 r .40771 .60659 .41235 .61063 .42013 .6093 .41549 .60538 Metetra .589 .741 .949 r .41549 .60538 .42013 .6093 .42793 .608 .4233 .60423 Metetra .584 .747 .955 r .4233 .60423 .42793 .608 .43575 .60672 .43114 .6031 Metetra .579 .755 .961 r .43114 .6031 .43575 .60672 .44361 .60543 .439 .60198 Metetra .575 .763 .967 r .439 .60198 .44361 .60543 .4515 .60412 .4469 .60083 Metetra .574 .772 .973 r .4469 .60083 .4515 .60412 .45941 .60275 .45483 .59963 Metetra .575 .782 .977 r .45483 .59963 .45941 .60275 .46736 .6013 .46279 .59834 Metetra .579 .793 .981 r .46279 .59834 .46736 .6013 .47534 .59975 .47079 .59693 Metetra .585 .804 .983 r .47079 .59693 .47534 .59975 .48335 .59806 .47881 .59537 Metetra .594 .814 .984 r .47881 .59537 .48335 .59806 .49139 .59624 .48687 .59363 Metetra .606 .823 .983 r .48687 .59363 .49139 .59624 .49945 .59425 .49495 .5917 Metetra .619 .83 .981 r .49495 .5917 .49945 .59425 .50755 .59209 .50307 .58956 Metetra .633 .836 .978 r .50307 .58956 .50755 .59209 .51567 .58975 .51121 .58722 Metetra .647 .839 .974 r .51121 .58722 .51567 .58975 .52382 .58725 .51938 .58468 Metetra .659 .841 .97 r .51938 .58468 .52382 .58725 .53199 .58459 .52757 .58195 Metetra .671 .84 .965 r .52757 .58195 .53199 .58459 .54018 .58177 .53579 .57905 Metetra .681 .838 .959 r .53579 .57905 .54018 .58177 .5484 .57882 .54403 .57599 Metetra .689 .835 .953 r .54403 .57599 .5484 .57882 .55664 .57575 .55229 .57281 Metetra .695 .83 .948 r .55229 .57281 .55664 .57575 .5649 .57258 .56058 .56951 Metetra .7 .825 .942 r .56058 .56951 .5649 .57258 .57319 .56933 .56888 .56612 Metetra .704 .82 .937 r .56888 .56612 .57319 .56933 .58149 .566 .5772 .56266 Metetra .706 .814 .932 r .5772 .56266 .58149 .566 .58981 .56263 .58555 .55915 Metetra .707 .808 .927 r .58555 .55915 .58981 .56263 .59816 .55921 .59391 .5556 Metetra .708 .802 .923 r .59391 .5556 .59816 .55921 .60653 .55577 .6023 .55203 Metetra .708 .797 .92 r .6023 .55203 .60653 .55577 .61491 .55231 .6107 .54845 Metetra .708 .791 .917 r .6107 .54845 .61491 .55231 .62332 .54885 .61913 .54487 Metetra .707 .787 .914 r .61913 .54487 .62332 .54885 .63176 .54538 .62758 .5413 Metetra .706 .782 .911 r .62758 .5413 .63176 .54538 .64021 .54193 .63605 .53774 Metetra .704 .778 .909 r .63605 .53774 .64021 .54193 .64869 .53849 .64455 .53421 Metetra .703 .774 .907 r .64455 .53421 .64869 .53849 .65719 .53506 .65307 .53069 Metetra .701 .77 .905 r .65307 .53069 .65719 .53506 .66571 .53166 .66161 .52721 Metetra .699 .767 .904 r .66161 .52721 .66571 .53166 .67426 .52828 .67018 .52375 Metetra .698 .764 .903 r .67018 .52375 .67426 .52828 .68283 .52492 .67877 .52033 Metetra .696 .761 .902 r .67877 .52033 .68283 .52492 .69143 .52159 .68738 .51693 Metetra .694 .758 .901 r .68738 .51693 .69143 .52159 .70005 .51829 .69602 .51357 Metetra .692 .756 .9 r .69602 .51357 .70005 .51829 .7087 .51501 .70469 .51023 Metetra .691 .754 .9 r .70469 .51023 .7087 .51501 .71738 .51175 .71339 .50693 Metetra .689 .752 .899 r .71339 .50693 .71738 .51175 .72608 .50852 .72211 .50366 Metetra .688 .75 .899 r .72211 .50366 .72608 .50852 .73481 .50532 .73086 .50041 Metetra .686 .748 .899 r .73086 .50041 .73481 .50532 .74357 .50214 .73963 .49719 Metetra .685 .747 .899 r .73963 .49719 .74357 .50214 .75235 .49898 .74843 .494 Metetra .683 .746 .898 r .74843 .494 .75235 .49898 .76117 .49585 .75727 .49083 Metetra .682 .745 .898 r .75727 .49083 .76117 .49585 .77001 .49273 .76613 .48768 Metetra .681 .744 .898 r .76613 .48768 .77001 .49273 .77887 .48964 .77501 .48456 Metetra .68 .743 .898 r .77501 .48456 .77887 .48964 .78777 .48656 .78393 .48145 Metetra .679 .742 .898 r .78393 .48145 .78777 .48656 .7967 .4835 .79288 .47837 Metetra .678 .741 .899 r .79288 .47837 .7967 .4835 .80566 .48046 .80185 .4753 Metetra .677 .74 .899 r .80185 .4753 .80566 .48046 .81464 .47743 .81086 .47224 Metetra .676 .74 .899 r .81086 .47224 .81464 .47743 .82366 .47441 .8199 .4692 Metetra .675 .739 .899 r .8199 .4692 .82366 .47441 .8327 .4714 .82896 .46618 Metetra .674 .739 .899 r .82896 .46618 .8327 .4714 .84178 .46841 .83806 .46316 Metetra .673 .738 .899 r .83806 .46316 .84178 .46841 .85088 .46543 .84719 .46016 Metetra .672 .738 .899 r .84719 .46016 .85088 .46543 .86002 .46245 .85634 .45717 Metetra .672 .737 .9 r .85634 .45717 .86002 .46245 .86919 .45949 .86553 .45419 Metetra .671 .737 .9 r .86553 .45419 .86919 .45949 .87839 .45653 .87475 .45121 Metetra .67 .737 .9 r .87475 .45121 .87839 .45653 .88762 .45358 .88401 .44824 Metetra .67 .737 .9 r .88401 .44824 .88762 .45358 .89688 .45063 .89329 .44528 Metetra .669 .736 .9 r .89329 .44528 .89688 .45063 .90617 .44769 .9026 .44232 Metetra .669 .736 .901 r .9026 .44232 .90617 .44769 .9155 .44475 .91195 .43936 Metetra .668 .736 .901 r .91195 .43936 .9155 .44475 .92485 .44182 .92133 .43641 Metetra .668 .736 .901 r .92133 .43641 .92485 .44182 .93424 .43888 .93074 .43346 Metetra .667 .736 .901 r .93074 .43346 .93424 .43888 .94366 .43595 .94019 .43051 Metetra .593 .729 .939 r .39527 .60367 .39995 .60786 .40771 .60659 .40303 .60252 Metetra .585 .733 .945 r .40303 .60252 .40771 .60659 .41549 .60538 .41082 .60146 Metetra .576 .738 .953 r .41082 .60146 .41549 .60538 .4233 .60423 .41864 .60048 Metetra .568 .745 .96 r .41864 .60048 .4233 .60423 .43114 .6031 .42649 .59954 Metetra .56 .753 .968 r .42649 .59954 .43114 .6031 .439 .60198 .43436 .59862 Metetra .553 .762 .975 r .43436 .59862 .439 .60198 .4469 .60083 .44227 .59768 Metetra .549 .773 .981 r .44227 .59768 .4469 .60083 .45483 .59963 .45022 .59669 Metetra .548 .785 .986 r .45022 .59669 .45483 .59963 .46279 .59834 .45819 .5956 Metetra .552 .798 .99 r .45819 .5956 .46279 .59834 .47079 .59693 .4662 .59437 Metetra .559 .811 .992 r .4662 .59437 .47079 .59693 .47881 .59537 .47424 .59295 Metetra .571 .824 .993 r .47424 .59295 .47881 .59537 .48687 .59363 .48232 .59133 Metetra .586 .835 .992 r .48232 .59133 .48687 .59363 .49495 .5917 .49042 .58947 Metetra .603 .845 .99 r .49042 .58947 .49495 .5917 .50307 .58956 .49856 .58736 Metetra .622 .852 .986 r .49856 .58736 .50307 .58956 .51121 .58722 .50672 .58501 Metetra .64 .856 .982 r .50672 .58501 .51121 .58722 .51938 .58468 .51492 .58241 Metetra .656 .858 .977 r .51492 .58241 .51938 .58468 .52757 .58195 .52313 .5796 Metetra .671 .857 .971 r .52313 .5796 .52757 .58195 .53579 .57905 .53137 .57659 Metetra .683 .854 .964 r .53137 .57659 .53579 .57905 .54403 .57599 .53963 .5734 Metetra .693 .849 .958 r .53963 .5734 .54403 .57599 .55229 .57281 .54792 .57006 Metetra .701 .843 .951 r .54792 .57006 .55229 .57281 .56058 .56951 .55622 .56661 Metetra .706 .837 .945 r .55622 .56661 .56058 .56951 .56888 .56612 .56455 .56306 Metetra .71 .83 .939 r .56455 .56306 .56888 .56612 .5772 .56266 .57289 .55944 Metetra .712 .822 .933 r .57289 .55944 .5772 .56266 .58555 .55915 .58125 .55577 Metetra .713 .815 .928 r .58125 .55577 .58555 .55915 .59391 .5556 .58964 .55207 Metetra .714 .809 .924 r .58964 .55207 .59391 .5556 .6023 .55203 .59804 .54835 Metetra .713 .802 .92 r .59804 .54835 .6023 .55203 .6107 .54845 .60647 .54463 Metetra .712 .796 .916 r .60647 .54463 .6107 .54845 .61913 .54487 .61492 .54092 Metetra .711 .79 .913 r .61492 .54092 .61913 .54487 .62758 .5413 .62338 .53723 Metetra .709 .785 .911 r .62338 .53723 .62758 .5413 .63605 .53774 .63187 .53356 Metetra .708 .78 .908 r .63187 .53356 .63605 .53774 .64455 .53421 .64039 .52993 Metetra .706 .776 .906 r .64039 .52993 .64455 .53421 .65307 .53069 .64892 .52632 Metetra .704 .772 .905 r .64892 .52632 .65307 .53069 .66161 .52721 .65748 .52275 Metetra .702 .768 .903 r .65748 .52275 .66161 .52721 .67018 .52375 .66607 .51921 Metetra .7 .765 .902 r .66607 .51921 .67018 .52375 .67877 .52033 .67468 .51571 Metetra .698 .762 .901 r .67468 .51571 .67877 .52033 .68738 .51693 .68331 .51225 Metetra .696 .759 .9 r .68331 .51225 .68738 .51693 .69602 .51357 .69197 .50883 Metetra .694 .756 .9 r .69197 .50883 .69602 .51357 .70469 .51023 .70066 .50544 Metetra .692 .754 .899 r .70066 .50544 .70469 .51023 .71339 .50693 .70937 .50208 Metetra .69 .752 .899 r .70937 .50208 .71339 .50693 .72211 .50366 .71811 .49876 Metetra .689 .75 .899 r .71811 .49876 .72211 .50366 .73086 .50041 .72688 .49547 Metetra .687 .749 .898 r .72688 .49547 .73086 .50041 .73963 .49719 .73567 .49221 Metetra .686 .747 .898 r .73567 .49221 .73963 .49719 .74843 .494 .74449 .48898 Metetra .684 .746 .898 r .74449 .48898 .74843 .494 .75727 .49083 .75334 .48578 Metetra .683 .745 .898 r .75334 .48578 .75727 .49083 .76613 .48768 .76222 .4826 Metetra .681 .744 .898 r .76222 .4826 .76613 .48768 .77501 .48456 .77113 .47944 Metetra .68 .743 .898 r .77113 .47944 .77501 .48456 .78393 .48145 .78007 .47631 Metetra .679 .742 .898 r .78007 .47631 .78393 .48145 .79288 .47837 .78903 .4732 Metetra .678 .741 .898 r .78903 .4732 .79288 .47837 .80185 .4753 .79803 .4701 Metetra .677 .74 .898 r .79803 .4701 .80185 .4753 .81086 .47224 .80706 .46703 Metetra .676 .74 .899 r .80706 .46703 .81086 .47224 .8199 .4692 .81611 .46397 Metetra .675 .739 .899 r .81611 .46397 .8199 .4692 .82896 .46618 .8252 .46092 Metetra .674 .739 .899 r .8252 .46092 .82896 .46618 .83806 .46316 .83432 .45789 Metetra .673 .738 .899 r .83432 .45789 .83806 .46316 .84719 .46016 .84347 .45486 Metetra .672 .738 .899 r .84347 .45486 .84719 .46016 .85634 .45717 .85265 .45185 Metetra .672 .737 .9 r .85265 .45185 .85634 .45717 .86553 .45419 .86186 .44885 Metetra .671 .737 .9 r .86186 .44885 .86553 .45419 .87475 .45121 .8711 .44585 Metetra .67 .737 .9 r .8711 .44585 .87475 .45121 .88401 .44824 .88037 .44287 Metetra .67 .737 .9 r .88037 .44287 .88401 .44824 .89329 .44528 .88968 .43989 Metetra .669 .736 .9 r .88968 .43989 .89329 .44528 .9026 .44232 .89902 .43691 Metetra .669 .736 .901 r .89902 .43691 .9026 .44232 .91195 .43936 .90839 .43394 Metetra .668 .736 .901 r .90839 .43394 .91195 .43936 .92133 .43641 .91779 .43097 Metetra .668 .736 .901 r .91779 .43097 .92133 .43641 .93074 .43346 .92722 .42801 Metetra .667 .736 .901 r .92722 .42801 .93074 .43346 .94019 .43051 .93669 .42504 Metetra .584 .725 .94 r .39056 .59943 .39527 .60367 .40303 .60252 .39833 .59843 Metetra .572 .729 .948 r .39833 .59843 .40303 .60252 .41082 .60146 .40613 .59754 Metetra .559 .734 .957 r .40613 .59754 .41082 .60146 .41864 .60048 .41395 .59675 Metetra .546 .74 .966 r .41395 .59675 .41864 .60048 .42649 .59954 .42181 .59605 Metetra .534 .749 .975 r .42181 .59605 .42649 .59954 .43436 .59862 .42969 .59538 Metetra .522 .759 .983 r .42969 .59538 .43436 .59862 .44227 .59768 .43761 .59471 Metetra .514 .771 .99 r .43761 .59471 .44227 .59768 .45022 .59669 .44556 .59398 Metetra .509 .785 .995 r .44556 .59398 .45022 .59669 .45819 .5956 .45355 .59315 Metetra .511 .8 .998 r .45355 .59315 .45819 .5956 .4662 .59437 .46157 .59214 Metetra .519 .817 .999 r .46157 .59214 .4662 .59437 .47424 .59295 .46963 .59092 Metetra .533 .833 .999 r .46963 .59092 .47424 .59295 .48232 .59133 .47773 .58943 Metetra .554 .848 .998 r .47773 .58943 .48232 .59133 .49042 .58947 .48585 .58765 Metetra .578 .861 .996 r .48585 .58765 .49042 .58947 .49856 .58736 .49401 .58557 Metetra .604 .87 .992 r .49401 .58557 .49856 .58736 .50672 .58501 .5022 .58319 Metetra .629 .876 .988 r .5022 .58319 .50672 .58501 .51492 .58241 .51042 .58052 Metetra .651 .878 .982 r .51042 .58052 .51492 .58241 .52313 .5796 .51866 .5776 Metetra .671 .877 .976 r .51866 .5776 .52313 .5796 .53137 .57659 .52692 .57444 Metetra .686 .873 .969 r .52692 .57444 .53137 .57659 .53963 .5734 .53521 .57108 Metetra .698 .866 .961 r .53521 .57108 .53963 .5734 .54792 .57006 .54351 .56756 Metetra .707 .859 .954 r .54351 .56756 .54792 .57006 .55622 .56661 .55184 .56391 Metetra .713 .85 .947 r .55184 .56391 .55622 .56661 .56455 .56306 .56019 .56017 Metetra .717 .841 .941 r .56019 .56017 .56455 .56306 .57289 .55944 .56855 .55636 Metetra .719 .832 .935 r .56855 .55636 .57289 .55944 .58125 .55577 .57694 .5525 Metetra .72 .824 .929 r .57694 .5525 .58125 .55577 .58964 .55207 .58534 .54862 Metetra .72 .815 .924 r .58534 .54862 .58964 .55207 .59804 .54835 .59376 .54474 Metetra .719 .808 .92 r .59376 .54474 .59804 .54835 .60647 .54463 .60221 .54087 Metetra .718 .801 .916 r .60221 .54087 .60647 .54463 .61492 .54092 .61067 .53702 Metetra .716 .794 .913 r .61067 .53702 .61492 .54092 .62338 .53723 .61916 .53319 Metetra .714 .788 .91 r .61916 .53319 .62338 .53723 .63187 .53356 .62767 .5294 Metetra .712 .783 .908 r .62767 .5294 .63187 .53356 .64039 .52993 .6362 .52565 Metetra .709 .778 .906 r .6362 .52565 .64039 .52993 .64892 .52632 .64475 .52194 Metetra .707 .774 .904 r .64475 .52194 .64892 .52632 .65748 .52275 .65333 .51828 Metetra .704 .77 .903 r .65333 .51828 .65748 .52275 .66607 .51921 .66193 .51465 Metetra .702 .766 .902 r .66193 .51465 .66607 .51921 .67468 .51571 .67056 .51108 Metetra .7 .763 .901 r .67056 .51108 .67468 .51571 .68331 .51225 .67921 .50755 Metetra .698 .76 .9 r .67921 .50755 .68331 .51225 .69197 .50883 .68789 .50406 Metetra .696 .757 .899 r .68789 .50406 .69197 .50883 .70066 .50544 .6966 .50061 Metetra .694 .755 .899 r .6966 .50061 .70066 .50544 .70937 .50208 .70533 .4972 Metetra .692 .753 .898 r .70533 .4972 .70937 .50208 .71811 .49876 .71409 .49383 Metetra .69 .751 .898 r .71409 .49383 .71811 .49876 .72688 .49547 .72287 .4905 Metetra .688 .749 .898 r .72287 .4905 .72688 .49547 .73567 .49221 .73168 .4872 Metetra .686 .747 .898 r .73168 .4872 .73567 .49221 .74449 .48898 .74053 .48393 Metetra .685 .746 .898 r .74053 .48393 .74449 .48898 .75334 .48578 .7494 .48069 Metetra .683 .745 .898 r .7494 .48069 .75334 .48578 .76222 .4826 .75829 .47748 Metetra .682 .744 .898 r .75829 .47748 .76222 .4826 .77113 .47944 .76722 .4743 Metetra .681 .743 .898 r .76722 .4743 .77113 .47944 .78007 .47631 .77618 .47114 Metetra .679 .742 .898 r .77618 .47114 .78007 .47631 .78903 .4732 .78517 .468 Metetra .678 .741 .898 r .78517 .468 .78903 .4732 .79803 .4701 .79418 .46488 Metetra .677 .74 .898 r .79418 .46488 .79803 .4701 .80706 .46703 .80323 .46178 Metetra .676 .74 .898 r .80323 .46178 .80706 .46703 .81611 .46397 .81231 .45869 Metetra .675 .739 .899 r .81231 .45869 .81611 .46397 .8252 .46092 .82142 .45563 Metetra .674 .739 .899 r .82142 .45563 .8252 .46092 .83432 .45789 .83056 .45257 Metetra .673 .738 .899 r .83056 .45257 .83432 .45789 .84347 .45486 .83973 .44953 Metetra .672 .738 .899 r .83973 .44953 .84347 .45486 .85265 .45185 .84893 .4465 Metetra .672 .737 .899 r .84893 .4465 .85265 .45185 .86186 .44885 .85816 .44348 Metetra .671 .737 .9 r .85816 .44348 .86186 .44885 .8711 .44585 .86742 .44047 Metetra .67 .737 .9 r .86742 .44047 .8711 .44585 .88037 .44287 .87672 .43746 Metetra .67 .736 .9 r .87672 .43746 .88037 .44287 .88968 .43989 .88605 .43447 Metetra .669 .736 .9 r .88605 .43447 .88968 .43989 .89902 .43691 .89541 .43147 Metetra .669 .736 .901 r .89541 .43147 .89902 .43691 .90839 .43394 .9048 .42848 Metetra .668 .736 .901 r .9048 .42848 .90839 .43394 .91779 .43097 .91422 .4255 Metetra .668 .736 .901 r .91422 .4255 .91779 .43097 .92722 .42801 .92368 .42252 Metetra .667 .736 .901 r .92368 .42252 .92722 .42801 .93669 .42504 .93317 .41954 Metetra .572 .719 .942 r .38583 .59513 .39056 .59943 .39833 .59843 .3936 .59429 Metetra .556 .722 .951 r .3936 .59429 .39833 .59843 .40613 .59754 .40141 .59361 Metetra .538 .727 .961 r .40141 .59361 .40613 .59754 .41395 .59675 .40924 .59307 Metetra .519 .733 .971 r .40924 .59307 .41395 .59675 .42181 .59605 .41709 .59264 Metetra .498 .741 .981 r .41709 .59264 .42181 .59605 .42969 .59538 .42498 .59229 Metetra .477 .751 .99 r .42498 .59229 .42969 .59538 .43761 .59471 .43291 .59196 Metetra .46 .763 .995 r .43291 .59196 .43761 .59471 .44556 .59398 .44087 .59157 Metetra .448 .778 .998 r .44087 .59157 .44556 .59398 .45355 .59315 .44887 .59106 Metetra .444 .795 .998 r .44887 .59106 .45355 .59315 .46157 .59214 .4569 .59035 Metetra .452 .813 .996 r .4569 .59035 .46157 .59214 .46963 .59092 .46498 .58936 Metetra .471 .834 .993 r .46498 .58936 .46963 .59092 .47773 .58943 .47309 .58804 Metetra .499 .854 .992 r .47309 .58804 .47773 .58943 .48585 .58765 .48124 .58637 Metetra .535 .873 .991 r .48124 .58637 .48585 .58765 .49401 .58557 .48942 .58431 Metetra .573 .888 .99 r .48942 .58431 .49401 .58557 .5022 .58319 .49764 .58188 Metetra .609 .897 .987 r .49764 .58188 .5022 .58319 .51042 .58052 .50588 .57911 Metetra .642 .901 .984 r .50588 .57911 .51042 .58052 .51866 .5776 .51415 .57602 Metetra .669 .9 .978 r .51415 .57602 .51866 .5776 .52692 .57444 .52243 .57267 Metetra .689 .895 .972 r .52243 .57267 .52692 .57444 .53521 .57108 .53075 .5691 Metetra .705 .886 .964 r .53075 .5691 .53521 .57108 .54351 .56756 .53908 .56534 Metetra .715 .876 .956 r .53908 .56534 .54351 .56756 .55184 .56391 .54743 .56146 Metetra .722 .865 .949 r .54743 .56146 .55184 .56391 .56019 .56017 .5558 .55748 Metetra .726 .854 .942 r .5558 .55748 .56019 .56017 .56855 .55636 .56418 .55344 Metetra .728 .843 .935 r .56418 .55344 .56855 .55636 .57694 .5525 .57259 .54937 Metetra .728 .833 .929 r .57259 .54937 .57694 .5525 .58534 .54862 .58101 .54529 Metetra .727 .823 .924 r .58101 .54529 .58534 .54862 .59376 .54474 .58946 .54121 Metetra .726 .814 .92 r .58946 .54121 .59376 .54474 .60221 .54087 .59792 .53716 Metetra .724 .806 .916 r .59792 .53716 .60221 .54087 .61067 .53702 .60641 .53315 Metetra .721 .799 .912 r .60641 .53315 .61067 .53702 .61916 .53319 .61491 .52918 Metetra .719 .792 .909 r .61491 .52918 .61916 .53319 .62767 .5294 .62344 .52525 Metetra .716 .786 .907 r .62344 .52525 .62767 .5294 .6362 .52565 .63199 .52138 Metetra .713 .78 .905 r .63199 .52138 .6362 .52565 .64475 .52194 .64056 .51756 Metetra .71 .776 .903 r .64056 .51756 .64475 .52194 .65333 .51828 .64916 .51379 Metetra .707 .771 .902 r .64916 .51379 .65333 .51828 .66193 .51465 .65778 .51008 Metetra .705 .767 .901 r .65778 .51008 .66193 .51465 .67056 .51108 .66642 .50643 Metetra .702 .764 .9 r .66642 .50643 .67056 .51108 .67921 .50755 .67509 .50282 Metetra .7 .761 .899 r .67509 .50282 .67921 .50755 .68789 .50406 .68379 .49926 Metetra .697 .758 .899 r .68379 .49926 .68789 .50406 .6966 .50061 .69251 .49576 Metetra .695 .755 .898 r .69251 .49576 .6966 .50061 .70533 .4972 .70126 .49229 Metetra .693 .753 .898 r .70126 .49229 .70533 .4972 .71409 .49383 .71004 .48887 Metetra .691 .751 .898 r .71004 .48887 .71409 .49383 .72287 .4905 .71884 .48549 Metetra .689 .749 .897 r .71884 .48549 .72287 .4905 .73168 .4872 .72768 .48215 Metetra .687 .748 .897 r .72768 .48215 .73168 .4872 .74053 .48393 .73654 .47885 Metetra .686 .746 .897 r .73654 .47885 .74053 .48393 .7494 .48069 .74543 .47557 Metetra .684 .745 .897 r .74543 .47557 .7494 .48069 .75829 .47748 .75434 .47233 Metetra .682 .744 .897 r .75434 .47233 .75829 .47748 .76722 .4743 .76329 .46912 Metetra .681 .743 .898 r .76329 .46912 .76722 .4743 .77618 .47114 .77227 .46593 Metetra .68 .742 .898 r .77227 .46593 .77618 .47114 .78517 .468 .78128 .46276 Metetra .678 .741 .898 r .78128 .46276 .78517 .468 .79418 .46488 .79031 .45962 Metetra .677 .74 .898 r .79031 .45962 .79418 .46488 .80323 .46178 .79938 .4565 Metetra .676 .74 .898 r .79938 .4565 .80323 .46178 .81231 .45869 .80848 .45339 Metetra .675 .739 .899 r .80848 .45339 .81231 .45869 .82142 .45563 .81761 .4503 Metetra .674 .739 .899 r .81761 .4503 .82142 .45563 .83056 .45257 .82677 .44723 Metetra .673 .738 .899 r .82677 .44723 .83056 .45257 .83973 .44953 .83596 .44417 Metetra .673 .738 .899 r .83596 .44417 .83973 .44953 .84893 .4465 .84518 .44112 Metetra .672 .737 .899 r .84518 .44112 .84893 .4465 .85816 .44348 .85444 .43808 Metetra .671 .737 .9 r .85444 .43808 .85816 .44348 .86742 .44047 .86372 .43505 Metetra .67 .737 .9 r .86372 .43505 .86742 .44047 .87672 .43746 .87304 .43203 Metetra .67 .736 .9 r .87304 .43203 .87672 .43746 .88605 .43447 .88239 .42901 Metetra .669 .736 .9 r .88239 .42901 .88605 .43447 .89541 .43147 .89178 .426 Metetra .668 .736 .901 r .89178 .426 .89541 .43147 .9048 .42848 .90119 .423 Metetra .668 .736 .901 r .90119 .423 .9048 .42848 .91422 .4255 .91064 .42 Metetra .667 .736 .901 r .91064 .42 .91422 .4255 .92368 .42252 .92012 .417 Metetra .667 .736 .901 r .92012 .417 .92368 .42252 .93317 .41954 .92963 .414 Metetra .559 .712 .943 r .38107 .59076 .38583 .59513 .3936 .59429 .38885 .5901 Metetra .538 .714 .954 r .38885 .5901 .3936 .59429 .40141 .59361 .39665 .58966 Metetra .512 .717 .965 r .39665 .58966 .40141 .59361 .40924 .59307 .40449 .58941 Metetra .481 .722 .976 r .40449 .58941 .40924 .59307 .41709 .59264 .41235 .58934 Metetra .447 .727 .986 r .41235 .58934 .41709 .59264 .42498 .59229 .42024 .58939 Metetra .409 .734 .991 r .42024 .58939 .42498 .59229 .43291 .59196 .42817 .58949 Metetra .374 .741 .99 r .42817 .58949 .43291 .59196 .44087 .59157 .43613 .58955 Metetra .345 .751 .982 r .43613 .58955 .44087 .59157 .44887 .59106 .44414 .58947 Metetra .33 .764 .969 r .44414 .58947 .44887 .59106 .4569 .59035 .45219 .58913 Metetra .334 .782 .957 r .45219 .58913 .4569 .59035 .46498 .58936 .46028 .58845 Metetra .359 .807 .95 r .46028 .58845 .46498 .58936 .47309 .58804 .46841 .58735 Metetra .402 .837 .949 r .46841 .58735 .47309 .58804 .48124 .58637 .47658 .58578 Metetra .458 .868 .955 r .47658 .58578 .48124 .58637 .48942 .58431 .48479 .58373 Metetra .518 .894 .963 r .48479 .58373 .48942 .58431 .49764 .58188 .49303 .58122 Metetra .575 .914 .97 r .49303 .58122 .49764 .58188 .50588 .57911 .5013 .57829 Metetra .624 .924 .974 r .5013 .57829 .50588 .57911 .51415 .57602 .5096 .57499 Metetra .663 .925 .974 r .5096 .57499 .51415 .57602 .52243 .57267 .51792 .57138 Metetra .692 .919 .97 r .51792 .57138 .52243 .57267 .53075 .5691 .52625 .56752 Metetra .712 .909 .964 r .52625 .56752 .53075 .5691 .53908 .56534 .53461 .56347 Metetra .725 .896 .957 r .53461 .56347 .53908 .56534 .54743 .56146 .54299 .5593 Metetra .733 .882 .949 r .54299 .5593 .54743 .56146 .5558 .55748 .55138 .55503 Metetra .737 .869 .942 r .55138 .55503 .5558 .55748 .56418 .55344 .55979 .55072 Metetra .738 .855 .935 r .55979 .55072 .56418 .55344 .57259 .54937 .56822 .54639 Metetra .738 .843 .929 r .56822 .54639 .57259 .54937 .58101 .54529 .57666 .54207 Metetra .736 .831 .924 r .57666 .54207 .58101 .54529 .58946 .54121 .58513 .53777 Metetra .733 .821 .919 r .58513 .53777 .58946 .54121 .59792 .53716 .59361 .53352 Metetra .73 .811 .915 r .59361 .53352 .59792 .53716 .60641 .53315 .60211 .52933 Metetra .727 .803 .911 r .60211 .52933 .60641 .53315 .61491 .52918 .61064 .52519 Metetra .724 .795 .908 r .61064 .52519 .61491 .52918 .62344 .52525 .61918 .52112 Metetra .72 .789 .906 r .61918 .52112 .62344 .52525 .63199 .52138 .62775 .51711 Metetra .717 .783 .904 r .62775 .51711 .63199 .52138 .64056 .51756 .63634 .51317 Metetra .714 .777 .902 r .63634 .51317 .64056 .51756 .64916 .51379 .64496 .5093 Metetra .71 .773 .901 r .64496 .5093 .64916 .51379 .65778 .51008 .65359 .50549 Metetra .707 .768 .9 r .65359 .50549 .65778 .51008 .66642 .50643 .66226 .50175 Metetra .704 .765 .899 r .66226 .50175 .66642 .50643 .67509 .50282 .67095 .49807 Metetra .702 .761 .898 r .67095 .49807 .67509 .50282 .68379 .49926 .67966 .49444 Metetra .699 .758 .898 r .67966 .49444 .68379 .49926 .69251 .49576 .6884 .49087 Metetra .697 .756 .897 r .6884 .49087 .69251 .49576 .70126 .49229 .69717 .48735 Metetra .694 .753 .897 r .69717 .48735 .70126 .49229 .71004 .48887 .70597 .48388 Metetra .692 .751 .897 r .70597 .48388 .71004 .48887 .71884 .48549 .71479 .48046 Metetra .69 .749 .897 r .71479 .48046 .71884 .48549 .72768 .48215 .72364 .47707 Metetra .688 .748 .897 r .72364 .47707 .72768 .48215 .73654 .47885 .73252 .47373 Metetra .686 .746 .897 r .73252 .47373 .73654 .47885 .74543 .47557 .74143 .47042 Metetra .685 .745 .897 r .74143 .47042 .74543 .47557 .75434 .47233 .75037 .46715 Metetra .683 .744 .897 r .75037 .46715 .75434 .47233 .76329 .46912 .75934 .4639 Metetra .681 .743 .897 r .75934 .4639 .76329 .46912 .77227 .46593 .76833 .46068 Metetra .68 .742 .898 r .76833 .46068 .77227 .46593 .78128 .46276 .77736 .45749 Metetra .679 .741 .898 r .77736 .45749 .78128 .46276 .79031 .45962 .78642 .45433 Metetra .678 .74 .898 r .78642 .45433 .79031 .45962 .79938 .4565 .79551 .45118 Metetra .676 .74 .898 r .79551 .45118 .79938 .4565 .80848 .45339 .80463 .44805 Metetra .675 .739 .898 r .80463 .44805 .80848 .45339 .81761 .4503 .81378 .44494 Metetra .674 .738 .899 r .81378 .44494 .81761 .4503 .82677 .44723 .82296 .44185 Metetra .673 .738 .899 r .82296 .44185 .82677 .44723 .83596 .44417 .83217 .43877 Metetra .673 .738 .899 r .83217 .43877 .83596 .44417 .84518 .44112 .84142 .4357 Metetra .672 .737 .899 r .84142 .4357 .84518 .44112 .85444 .43808 .85069 .43264 Metetra .671 .737 .9 r .85069 .43264 .85444 .43808 .86372 .43505 .86 .4296 Metetra .67 .737 .9 r .86 .4296 .86372 .43505 .87304 .43203 .86934 .42656 Metetra .67 .736 .9 r .86934 .42656 .87304 .43203 .88239 .42901 .87872 .42352 Metetra .669 .736 .9 r .87872 .42352 .88239 .42901 .89178 .426 .88812 .4205 Metetra .668 .736 .901 r .88812 .4205 .89178 .426 .90119 .423 .89756 .41748 Metetra .668 .736 .901 r .89756 .41748 .90119 .423 .91064 .42 .90703 .41446 Metetra .667 .736 .901 r .90703 .41446 .91064 .42 .92012 .417 .91654 .41145 Metetra .667 .736 .901 r .91654 .41145 .92012 .417 .92963 .414 .92607 .40844 Metetra .544 .704 .944 r .37628 .58629 .38107 .59076 .38885 .5901 .38407 .58585 Metetra .515 .703 .956 r .38407 .58585 .38885 .5901 .39665 .58966 .39187 .58568 Metetra .477 .703 .968 r .39187 .58568 .39665 .58966 .40449 .58941 .39971 .58579 Metetra .429 .703 .979 r .39971 .58579 .40449 .58941 .41235 .58934 .40756 .58616 Metetra .37 .7 .984 r .40756 .58616 .41235 .58934 .42024 .58939 .41545 .58672 Metetra .302 .694 .976 r .41545 .58672 .42024 .58939 .42817 .58949 .42338 .58739 Metetra .23 .684 .951 r .42338 .58739 .42817 .58949 .43613 .58955 .43135 .58804 Metetra .17 .672 .91 r .43135 .58804 .43613 .58955 .44414 .58947 .43936 .58853 Metetra .134 .667 .862 r .43936 .58853 .44414 .58947 .45219 .58913 .44742 .58869 Metetra .133 .676 .825 r .44742 .58869 .45219 .58913 .46028 .58845 .45552 .58841 Metetra .168 .705 .809 r .45552 .58841 .46028 .58845 .46841 .58735 .46368 .58757 Metetra .233 .752 .817 r .46368 .58757 .46841 .58735 .47658 .58578 .47187 .58612 Metetra .321 .808 .844 r .47187 .58612 .47658 .58578 .48479 .58373 .48011 .58406 Metetra .418 .864 .88 r .48011 .58406 .48479 .58373 .49303 .58122 .48838 .58141 Metetra .51 .909 .914 r .48838 .58141 .49303 .58122 .5013 .57829 .49668 .57824 Metetra .589 .937 .94 r .49668 .57824 .5013 .57829 .5096 .57499 .50501 .57463 Metetra .65 .947 .954 r .50501 .57463 .5096 .57499 .51792 .57138 .51336 .57066 Metetra .692 .945 .96 r .51336 .57066 .51792 .57138 .52625 .56752 .52173 .56643 Metetra .72 .934 .959 r .52173 .56643 .52625 .56752 .53461 .56347 .53011 .56201 Metetra .736 .919 .954 r .53011 .56201 .53461 .56347 .54299 .5593 .53851 .55746 Metetra .745 .902 .948 r .53851 .55746 .54299 .5593 .55138 .55503 .54693 .55285 Metetra .749 .885 .941 r .54693 .55285 .55138 .55503 .55979 .55072 .55536 .5482 Metetra .75 .868 .934 r .55536 .5482 .55979 .55072 .56822 .54639 .56381 .54357 Metetra .748 .853 .928 r .56381 .54357 .56822 .54639 .57666 .54207 .57228 .53897 Metetra .745 .84 .922 r .57228 .53897 .57666 .54207 .58513 .53777 .58077 .53443 Metetra .742 .828 .918 r .58077 .53443 .58513 .53777 .59361 .53352 .58927 .52995 Metetra .738 .817 .914 r .58927 .52995 .59361 .53352 .60211 .52933 .59779 .52555 Metetra .734 .808 .91 r .59779 .52555 .60211 .52933 .61064 .52519 .60634 .52123 Metetra .729 .799 .907 r .60634 .52123 .61064 .52519 .61918 .52112 .6149 .517 Metetra .725 .792 .905 r .6149 .517 .61918 .52112 .62775 .51711 .62349 .51285 Metetra .721 .785 .903 r .62349 .51285 .62775 .51711 .63634 .51317 .6321 .50878 Metetra .717 .779 .901 r .6321 .50878 .63634 .51317 .64496 .5093 .64073 .5048 Metetra .714 .774 .9 r .64073 .5048 .64496 .5093 .65359 .50549 .64939 .50089 Metetra .71 .77 .899 r .64939 .50089 .65359 .50549 .66226 .50175 .65807 .49706 Metetra .707 .766 .898 r .65807 .49706 .66226 .50175 .67095 .49807 .66677 .49329 Metetra .704 .762 .898 r .66677 .49329 .67095 .49807 .67966 .49444 .67551 .4896 Metetra .701 .759 .897 r .67551 .4896 .67966 .49444 .6884 .49087 .68427 .48596 Metetra .698 .756 .897 r .68427 .48596 .6884 .49087 .69717 .48735 .69305 .48238 Metetra .695 .754 .897 r .69305 .48238 .69717 .48735 .70597 .48388 .70187 .47886 Metetra .693 .752 .896 r .70187 .47886 .70597 .48388 .71479 .48046 .71071 .47539 Metetra .691 .75 .896 r .71071 .47539 .71479 .48046 .72364 .47707 .71958 .47196 Metetra .689 .748 .896 r .71958 .47196 .72364 .47707 .73252 .47373 .72848 .46858 Metetra .687 .746 .897 r .72848 .46858 .73252 .47373 .74143 .47042 .73741 .46523 Metetra .685 .745 .897 r .73741 .46523 .74143 .47042 .75037 .46715 .74637 .46193 Metetra .683 .744 .897 r .74637 .46193 .75037 .46715 .75934 .4639 .75536 .45865 Metetra .682 .743 .897 r .75536 .45865 .75934 .4639 .76833 .46068 .76438 .45541 Metetra .68 .742 .897 r .76438 .45541 .76833 .46068 .77736 .45749 .77342 .45219 Metetra .679 .741 .898 r .77342 .45219 .77736 .45749 .78642 .45433 .7825 .449 Metetra .678 .74 .898 r .7825 .449 .78642 .45433 .79551 .45118 .79161 .44583 Metetra .677 .74 .898 r .79161 .44583 .79551 .45118 .80463 .44805 .80075 .44268 Metetra .675 .739 .898 r .80075 .44268 .80463 .44805 .81378 .44494 .80992 .43955 Metetra .674 .738 .899 r .80992 .43955 .81378 .44494 .82296 .44185 .81913 .43643 Metetra .673 .738 .899 r .81913 .43643 .82296 .44185 .83217 .43877 .82836 .43334 Metetra .673 .738 .899 r .82836 .43334 .83217 .43877 .84142 .4357 .83763 .43025 Metetra .672 .737 .899 r .83763 .43025 .84142 .4357 .85069 .43264 .84693 .42717 Metetra .671 .737 .9 r .84693 .42717 .85069 .43264 .86 .4296 .85626 .42411 Metetra .67 .737 .9 r .85626 .42411 .86 .4296 .86934 .42656 .86562 .42105 Metetra .67 .736 .9 r .86562 .42105 .86934 .42656 .87872 .42352 .87502 .41801 Metetra .669 .736 .901 r .87502 .41801 .87872 .42352 .88812 .4205 .88445 .41496 Metetra .668 .736 .901 r .88445 .41496 .88812 .4205 .89756 .41748 .89391 .41193 Metetra .668 .736 .901 r .89391 .41193 .89756 .41748 .90703 .41446 .9034 .40889 Metetra .667 .736 .901 r .9034 .40889 .90703 .41446 .91654 .41145 .91293 .40586 Metetra .667 .736 .901 r .91293 .40586 .91654 .41145 .92607 .40844 .92249 .40284 Metetra .528 .693 .944 r .37148 .58171 .37628 .58629 .38407 .58585 .37926 .58149 Metetra .488 .689 .957 r .37926 .58149 .38407 .58585 .39187 .58568 .38707 .58165 Metetra .432 .683 .969 r .38707 .58165 .39187 .58568 .39971 .58579 .39489 .5822 Metetra .356 .671 .975 r .39489 .5822 .39971 .58579 .40756 .58616 .40274 .58312 Metetra .253 .648 .964 r .40274 .58312 .40756 .58616 .41545 .58672 .41062 .58436 Metetra .127 .607 .917 r .41062 .58436 .41545 .58672 .42338 .58739 .41854 .58578 Metetra 0 .548 .825 r .41854 .58578 .42338 .58739 .43135 .58804 .4265 .58723 Metetra 0 .487 .708 r .4265 .58723 .43135 .58804 .43936 .58853 .43451 .58849 Metetra .15 0 0 r .43451 .58849 .43936 .58853 .44742 .58869 .44258 .58934 Metetra .146 0 0 r .44258 .58934 .44742 .58869 .45552 .58841 .4507 .58957 Metetra .096 0 0 r .4507 .58957 .45552 .58841 .46368 .58757 .45887 .58906 Metetra .007 0 0 r .45887 .58906 .46368 .58757 .47187 .58612 .4671 .58772 Metetra .4671 .58772 .47187 .58612 .48011 .58406 .47537 .58558 Metetra .255 .754 .693 r .47537 .58558 .48011 .58406 .48838 .58141 .48368 .58269 Metetra .399 .85 .782 r .48368 .58269 .48838 .58141 .49668 .57824 .49201 .57916 Metetra .525 .92 .856 r .49201 .57916 .49668 .57824 .50501 .57463 .50038 .57511 Metetra .622 .957 .906 r .50038 .57511 .50501 .57463 .51336 .57066 .50876 .57066 Metetra .687 .966 .933 r .50876 .57066 .51336 .57066 .52173 .56643 .51716 .56594 Metetra .727 .959 .944 r .51716 .56594 .52173 .56643 .53011 .56201 .52558 .56103 Metetra .749 .942 .946 r .52558 .56103 .53011 .56201 .53851 .55746 .53401 .55602 Metetra .76 .922 .943 r .53401 .55602 .53851 .55746 .54693 .55285 .54245 .55097 Metetra .764 .902 .937 r .54245 .55097 .54693 .55285 .55536 .5482 .55091 .54593 Metetra .763 .882 .931 r .55091 .54593 .55536 .5482 .56381 .54357 .55938 .54094 Metetra .76 .865 .926 r .55938 .54094 .56381 .54357 .57228 .53897 .56787 .53602 Metetra .756 .849 .92 r .56787 .53602 .57228 .53897 .58077 .53443 .57638 .53118 Metetra .751 .835 .916 r .57638 .53118 .58077 .53443 .58927 .52995 .5849 .52645 Metetra .746 .823 .912 r .5849 .52645 .58927 .52995 .59779 .52555 .59345 .52183 Metetra .741 .812 .908 r .59345 .52183 .59779 .52555 .60634 .52123 .60201 .51731 Metetra .735 .803 .906 r .60201 .51731 .60634 .52123 .6149 .517 .61059 .5129 Metetra .73 .795 .903 r .61059 .5129 .6149 .517 .62349 .51285 .6192 .50859 Metetra .726 .787 .901 r .6192 .50859 .62349 .51285 .6321 .50878 .62782 .50439 Metetra .721 .781 .9 r .62782 .50439 .6321 .50878 .64073 .5048 .63648 .50028 Metetra .717 .776 .899 r .63648 .50028 .64073 .5048 .64939 .50089 .64515 .49627 Metetra .713 .771 .898 r .64515 .49627 .64939 .50089 .65807 .49706 .65385 .49234 Metetra .709 .767 .897 r .65385 .49234 .65807 .49706 .66677 .49329 .66258 .48849 Metetra .706 .763 .897 r .66258 .48849 .66677 .49329 .67551 .4896 .67133 .48472 Metetra .703 .76 .896 r .67133 .48472 .67551 .4896 .68427 .48596 .68011 .48102 Metetra .7 .757 .896 r .68011 .48102 .68427 .48596 .69305 .48238 .68891 .47738 Metetra .697 .754 .896 r .68891 .47738 .69305 .48238 .70187 .47886 .69775 .47381 Metetra .694 .752 .896 r .69775 .47381 .70187 .47886 .71071 .47539 .70661 .47029 Metetra .692 .75 .896 r .70661 .47029 .71071 .47539 .71958 .47196 .7155 .46682 Metetra .69 .748 .896 r .7155 .46682 .71958 .47196 .72848 .46858 .72442 .46339 Metetra .688 .746 .896 r .72442 .46339 .72848 .46858 .73741 .46523 .73337 .46001 Metetra .686 .745 .896 r .73337 .46001 .73741 .46523 .74637 .46193 .74235 .45667 Metetra .684 .744 .897 r .74235 .45667 .74637 .46193 .75536 .45865 .75136 .45337 Metetra .682 .743 .897 r .75136 .45337 .75536 .45865 .76438 .45541 .76039 .4501 Metetra .681 .742 .897 r .76039 .4501 .76438 .45541 .77342 .45219 .76946 .44685 Metetra .679 .741 .897 r .76946 .44685 .77342 .45219 .7825 .449 .77856 .44364 Metetra .678 .74 .898 r .77856 .44364 .7825 .449 .79161 .44583 .78769 .44044 Metetra .677 .74 .898 r .78769 .44044 .79161 .44583 .80075 .44268 .79685 .43727 Metetra .676 .739 .898 r .79685 .43727 .80075 .44268 .80992 .43955 .80605 .43412 Metetra .674 .738 .899 r .80605 .43412 .80992 .43955 .81913 .43643 .81527 .43099 Metetra .674 .738 .899 r .81527 .43099 .81913 .43643 .82836 .43334 .82453 .42787 Metetra .673 .738 .899 r .82453 .42787 .82836 .43334 .83763 .43025 .83382 .42477 Metetra .672 .737 .899 r .83382 .42477 .83763 .43025 .84693 .42717 .84314 .42167 Metetra .671 .737 .9 r .84314 .42167 .84693 .42717 .85626 .42411 .85249 .41859 Metetra .67 .737 .9 r .85249 .41859 .85626 .42411 .86562 .42105 .86188 .41552 Metetra .669 .737 .9 r .86188 .41552 .86562 .42105 .87502 .41801 .8713 .41245 Metetra .669 .736 .901 r .8713 .41245 .87502 .41801 .88445 .41496 .88075 .40939 Metetra .668 .736 .901 r .88075 .40939 .88445 .41496 .89391 .41193 .89023 .40634 Metetra .668 .736 .901 r .89023 .40634 .89391 .41193 .9034 .40889 .89975 .40329 Metetra .667 .736 .901 r .89975 .40329 .9034 .40889 .91293 .40586 .9093 .40025 Metetra .667 .736 .902 r .9093 .40025 .91293 .40586 .92249 .40284 .91889 .3972 Metetra .511 .681 .943 r .36665 .57698 .37148 .58171 .37926 .58149 .37443 .57701 Metetra .456 .671 .956 r .37443 .57701 .37926 .58149 .38707 .58165 .38223 .57755 Metetra .374 .653 .965 r .38223 .57755 .38707 .58165 .39489 .5822 .39005 .57862 Metetra .25 .618 .957 r .39005 .57862 .39489 .5822 .40274 .58312 .39788 .58025 Metetra .073 .547 .899 r .39788 .58025 .40274 .58312 .41062 .58436 .40574 .58237 Metetra 0 .431 .756 r .40574 .58237 .41062 .58436 .41854 .58578 .41364 .58484 Metetra .309 0 0 r .41364 .58484 .41854 .58578 .4265 .58723 .42159 .5874 Metetra .4 0 0 r .42159 .5874 .4265 .58723 .43451 .58849 .42959 .58974 Metetra .421 0 0 r .42959 .58974 .43451 .58849 .44258 .58934 .43765 .59152 Metetra .392 0 0 r .43765 .59152 .44258 .58934 .4507 .58957 .44579 .59245 Metetra .328 0 0 r .44579 .59245 .4507 .58957 .45887 .58906 .45399 .59233 Metetra .233 0 0 r .45399 .59233 .45887 .58906 .4671 .58772 .46224 .59107 Metetra .105 0 0 r .46224 .59107 .4671 .58772 .47537 .58558 .47055 .58873 Metetra .47055 .58873 .47537 .58558 .48368 .58269 .4789 .58542 Metetra .4789 .58542 .48368 .58269 .49201 .57916 .48728 .58133 Metetra .422 .847 .699 r .48728 .58133 .49201 .57916 .50038 .57511 .49569 .57665 Metetra .57 .936 .81 r .49569 .57665 .50038 .57511 .50876 .57066 .50411 .57153 Metetra .672 .975 .88 r .50411 .57153 .50876 .57066 .51716 .56594 .51255 .56615 Metetra .732 .98 .915 r .51255 .56615 .51716 .56594 .52558 .56103 .521 .56061 Metetra .763 .965 .93 r .521 .56061 .52558 .56103 .53401 .55602 .52946 .55501 Metetra .777 .943 .933 r .52946 .55501 .53401 .55602 .54245 .55097 .53794 .54943 Metetra .78 .919 .931 r .53794 .54943 .54245 .55097 .55091 .54593 .54642 .54392 Metetra .779 .897 .927 r .54642 .54392 .55091 .54593 .55938 .54094 .55492 .5385 Metetra .774 .876 .922 r .55492 .5385 .55938 .54094 .56787 .53602 .56344 .53321 Metetra .768 .858 .917 r .56344 .53321 .56787 .53602 .57638 .53118 .57196 .52805 Metetra .761 .842 .913 r .57196 .52805 .57638 .53118 .5849 .52645 .58051 .52303 Metetra .755 .829 .909 r .58051 .52303 .5849 .52645 .59345 .52183 .58907 .51815 Metetra .748 .817 .906 r .58907 .51815 .59345 .52183 .60201 .51731 .59765 .51341 Metetra .742 .807 .903 r .59765 .51341 .60201 .51731 .61059 .5129 .60626 .50881 Metetra .736 .798 .901 r .60626 .50881 .61059 .5129 .6192 .50859 .61488 .50433 Metetra .73 .79 .9 r .61488 .50433 .6192 .50859 .62782 .50439 .62353 .49998 Metetra .725 .783 .898 r .62353 .49998 .62782 .50439 .63648 .50028 .6322 .49575 Metetra .72 .777 .897 r .6322 .49575 .63648 .50028 .64515 .49627 .64089 .49162 Metetra .716 .772 .897 r .64089 .49162 .64515 .49627 .65385 .49234 .64961 .48759 Metetra .712 .767 .896 r .64961 .48759 .65385 .49234 .66258 .48849 .65835 .48366 Metetra .708 .764 .896 r .65835 .48366 .66258 .48849 .67133 .48472 .66713 .47981 Metetra .704 .76 .895 r .66713 .47981 .67133 .48472 .68011 .48102 .67592 .47604 Metetra .701 .757 .895 r .67592 .47604 .68011 .48102 .68891 .47738 .68475 .47235 Metetra .698 .754 .895 r .68475 .47235 .68891 .47738 .69775 .47381 .6936 .46872 Metetra .695 .752 .895 r .6936 .46872 .69775 .47381 .70661 .47029 .70248 .46515 Metetra .693 .75 .895 r .70248 .46515 .70661 .47029 .7155 .46682 .71139 .46164 Metetra .69 .748 .896 r .71139 .46164 .7155 .46682 .72442 .46339 .72033 .45817 Metetra .688 .747 .896 r .72033 .45817 .72442 .46339 .73337 .46001 .7293 .45476 Metetra .686 .745 .896 r .7293 .45476 .73337 .46001 .74235 .45667 .7383 .45139 Metetra .684 .744 .896 r .7383 .45139 .74235 .45667 .75136 .45337 .74733 .44805 Metetra .683 .743 .897 r .74733 .44805 .75136 .45337 .76039 .4501 .75639 .44475 Metetra .681 .742 .897 r .75639 .44475 .76039 .4501 .76946 .44685 .76548 .44148 Metetra .679 .741 .897 r .76548 .44148 .76946 .44685 .77856 .44364 .7746 .43824 Metetra .678 .74 .898 r .7746 .43824 .77856 .44364 .78769 .44044 .78375 .43503 Metetra .677 .74 .898 r .78375 .43503 .78769 .44044 .79685 .43727 .79293 .43184 Metetra .676 .739 .898 r .79293 .43184 .79685 .43727 .80605 .43412 .80215 .42866 Metetra .675 .738 .899 r .80215 .42866 .80605 .43412 .81527 .43099 .81139 .42551 Metetra .674 .738 .899 r .81139 .42551 .81527 .43099 .82453 .42787 .82067 .42237 Metetra .673 .738 .899 r .82067 .42237 .82453 .42787 .83382 .42477 .82998 .41925 Metetra .672 .737 .9 r .82998 .41925 .83382 .42477 .84314 .42167 .83933 .41614 Metetra .671 .737 .9 r .83933 .41614 .84314 .42167 .85249 .41859 .8487 .41304 Metetra .67 .737 .9 r .8487 .41304 .85249 .41859 .86188 .41552 .85811 .40995 Metetra .669 .737 .9 r .85811 .40995 .86188 .41552 .8713 .41245 .86755 .40687 Metetra .669 .736 .901 r .86755 .40687 .8713 .41245 .88075 .40939 .87703 .40379 Metetra .668 .736 .901 r .87703 .40379 .88075 .40939 .89023 .40634 .88654 .40072 Metetra .668 .736 .901 r .88654 .40072 .89023 .40634 .89975 .40329 .89608 .39766 Metetra .667 .736 .901 r .89608 .39766 .89975 .40329 .9093 .40025 .90565 .3946 Metetra .667 .736 .902 r .90565 .3946 .9093 .40025 .91889 .3972 .91526 .39154 Metetra .493 .666 .94 r .3618 .57207 .36665 .57698 .37443 .57701 .36959 .57236 Metetra .419 .647 .952 r .36959 .57236 .37443 .57701 .38223 .57755 .37737 .57332 Metetra .298 .609 .954 r .37737 .57332 .38223 .57755 .39005 .57862 .38517 .57504 Metetra .1 .528 .91 r .38517 .57504 .39005 .57862 .39788 .58025 .39298 .57758 Metetra 0 .367 .747 r .39298 .57758 .39788 .58025 .40574 .58237 .40081 .58089 Metetra .439 0 0 r .40081 .58089 .40574 .58237 .41364 .58484 .40867 .5848 Metetra .57 .002 0 r .40867 .5848 .41364 .58484 .42159 .5874 .41658 .58896 Metetra .6 .079 0 r .41658 .58896 .42159 .5874 .42959 .58974 .42456 .59287 Metetra .58 .096 .07 r .42456 .59287 .42959 .58974 .43765 .59152 .43262 .59599 Metetra .533 .073 .107 r .43262 .59599 .43765 .59152 .44579 .59245 .44076 .59786 Metetra .464 .018 .104 r .44076 .59786 .44579 .59245 .45399 .59233 .44899 .59818 Metetra .375 0 .065 r .44899 .59818 .45399 .59233 .46224 .59107 .45729 .59688 Metetra .259 0 0 r .45729 .59688 .46224 .59107 .47055 .58873 .46565 .59411 Metetra .108 0 0 r .46565 .59411 .47055 .58873 .4789 .58542 .47405 .5901 Metetra .47405 .5901 .4789 .58542 .48728 .58133 .48249 .58514 Metetra .48249 .58514 .48728 .58133 .49569 .57665 .49095 .57951 Metetra .493 .87 .66 r .49095 .57951 .49569 .57665 .50411 .57153 .49942 .57347 Metetra .642 .96 .79 r .49942 .57347 .50411 .57153 .51255 .56615 .5079 .5672 Metetra .732 .99 .865 r .5079 .5672 .51255 .56615 .521 .56061 .51639 .56084 Metetra .777 .984 .902 r .51639 .56084 .521 .56061 .52946 .55501 .52489 .55451 Metetra .795 .963 .916 r .52489 .55451 .52946 .55501 .53794 .54943 .53339 .54828 Metetra .799 .937 .92 r .53339 .54828 .53794 .54943 .54642 .54392 .54191 .5422 Metetra .796 .911 .919 r .54191 .5422 .54642 .54392 .55492 .5385 .55043 .53628 Metetra .789 .888 .916 r .55043 .53628 .55492 .5385 .56344 .53321 .55897 .53055 Metetra .781 .867 .912 r .55897 .53055 .56344 .53321 .57196 .52805 .56752 .52502 Metetra .773 .85 .909 r .56752 .52502 .57196 .52805 .58051 .52303 .57609 .51968 Metetra .764 .834 .906 r .57609 .51968 .58051 .52303 .58907 .51815 .58467 .51452 Metetra .756 .821 .903 r .58467 .51452 .58907 .51815 .59765 .51341 .59327 .50954 Metetra .749 .81 .901 r .59327 .50954 .59765 .51341 .60626 .50881 .60189 .50473 Metetra .742 .8 .899 r .60189 .50473 .60626 .50881 .61488 .50433 .61054 .50008 Metetra .735 .792 .898 r .61054 .50008 .61488 .50433 .62353 .49998 .6192 .49557 Metetra .729 .785 .897 r .6192 .49557 .62353 .49998 .6322 .49575 .62789 .4912 Metetra .724 .779 .896 r .62789 .4912 .6322 .49575 .64089 .49162 .6366 .48695 Metetra .719 .773 .895 r .6366 .48695 .64089 .49162 .64961 .48759 .64534 .48282 Metetra .714 .768 .895 r .64534 .48282 .64961 .48759 .65835 .48366 .65411 .4788 Metetra .71 .764 .895 r .65411 .4788 .65835 .48366 .66713 .47981 .6629 .47487 Metetra .706 .761 .895 r .6629 .47487 .66713 .47981 .67592 .47604 .67171 .47104 Metetra .703 .757 .895 r .67171 .47104 .67592 .47604 .68475 .47235 .68056 .46728 Metetra .699 .755 .895 r .68056 .46728 .68475 .47235 .6936 .46872 .68943 .46359 Metetra .696 .752 .895 r .68943 .46359 .6936 .46872 .70248 .46515 .69833 .45998 Metetra .694 .75 .895 r .69833 .45998 .70248 .46515 .71139 .46164 .70726 .45642 Metetra .691 .748 .895 r .70726 .45642 .71139 .46164 .72033 .45817 .71622 .45292 Metetra .689 .747 .895 r .71622 .45292 .72033 .45817 .7293 .45476 .72521 .44947 Metetra .687 .745 .896 r .72521 .44947 .7293 .45476 .7383 .45139 .73423 .44606 Metetra .685 .744 .896 r .73423 .44606 .7383 .45139 .74733 .44805 .74328 .4427 Metetra .683 .743 .896 r .74328 .4427 .74733 .44805 .75639 .44475 .75236 .43937 Metetra .681 .742 .897 r .75236 .43937 .75639 .44475 .76548 .44148 .76147 .43608 Metetra .68 .741 .897 r .76147 .43608 .76548 .44148 .7746 .43824 .77061 .43281 Metetra .678 .74 .898 r .77061 .43281 .7746 .43824 .78375 .43503 .77978 .42958 Metetra .677 .74 .898 r .77978 .42958 .78375 .43503 .79293 .43184 .78899 .42636 Metetra .676 .739 .898 r .78899 .42636 .79293 .43184 .80215 .42866 .79822 .42317 Metetra .675 .739 .899 r .79822 .42317 .80215 .42866 .81139 .42551 .80749 .42 Metetra .674 .738 .899 r .80749 .42 .81139 .42551 .82067 .42237 .81679 .41684 Metetra .673 .738 .899 r .81679 .41684 .82067 .42237 .82998 .41925 .82612 .4137 Metetra .672 .737 .9 r .82612 .4137 .82998 .41925 .83933 .41614 .83549 .41058 Metetra .671 .737 .9 r .83549 .41058 .83933 .41614 .8487 .41304 .84489 .40746 Metetra .67 .737 .9 r .84489 .40746 .8487 .41304 .85811 .40995 .85432 .40435 Metetra .669 .737 .9 r .85432 .40435 .85811 .40995 .86755 .40687 .86379 .40125 Metetra .669 .736 .901 r .86379 .40125 .86755 .40687 .87703 .40379 .87328 .39816 Metetra .668 .736 .901 r .87328 .39816 .87703 .40379 .88654 .40072 .88282 .39508 Metetra .667 .736 .901 r .88282 .39508 .88654 .40072 .89608 .39766 .89238 .39199 Metetra .667 .736 .902 r .89238 .39199 .89608 .39766 .90565 .3946 .90198 .38891 Metetra .666 .736 .902 r .90198 .38891 .90565 .3946 .91526 .39154 .91161 .38584 Metetra .477 .651 .935 r .35694 .56694 .3618 .57207 .36959 .57236 .36472 .56748 Metetra .38 .618 .945 r .36472 .56748 .36959 .57236 .37737 .57332 .37249 .5689 Metetra .205 .549 .931 r .37249 .5689 .37737 .57332 .38517 .57504 .38027 .57139 Metetra 0 .387 .811 r .38027 .57139 .38517 .57504 .39298 .57758 .38804 .5751 Metetra .466 0 0 r .38804 .5751 .39298 .57758 .40081 .58089 .39581 .58006 Metetra .667 .119 0 r .39581 .58006 .40081 .58089 .40867 .5848 .40361 .58607 Metetra .713 .228 .094 r .40361 .58607 .40867 .5848 .41658 .58896 .41146 .59262 Metetra .695 .26 .211 r .41146 .59262 .41658 .58896 .42456 .59287 .41939 .5989 Metetra .653 .25 .267 r .41939 .5989 .42456 .59287 .43262 .59599 .42742 .60399 Metetra .597 .213 .285 r .42742 .60399 .43262 .59599 .44076 .59786 .43557 .60712 Metetra .528 .154 .276 r .43557 .60712 .44076 .59786 .44899 .59818 .44383 .60788 Metetra .444 .074 .241 r .44383 .60788 .44899 .59818 .45729 .59688 .45219 .60627 Metetra .341 0 .177 r .45219 .60627 .45729 .59688 .46565 .59411 .46062 .60262 Metetra .208 0 .077 r .46062 .60262 .46565 .59411 .47405 .5901 .4691 .59738 Metetra .037 0 0 r .4691 .59738 .47405 .5901 .48249 .58514 .47761 .59105 Metetra .47761 .59105 .48249 .58514 .49095 .57951 .48613 .58404 Metetra .48613 .58404 .49095 .57951 .49942 .57347 .49466 .57669 Metetra .6 .916 .667 r .49466 .57669 .49942 .57347 .5079 .5672 .50319 .56923 Metetra .727 .986 .793 r .50319 .56923 .5079 .5672 .51639 .56084 .51173 .56182 Metetra .79 .997 .861 r .51173 .56182 .51639 .56084 .52489 .55451 .52027 .55457 Metetra .815 .979 .892 r .52027 .55457 .52489 .55451 .53339 .54828 .52881 .54755 Metetra .819 .952 .905 r .52881 .54755 .53339 .54828 .54191 .5422 .53735 .54078 Metetra .814 .924 .909 r .53735 .54078 .54191 .5422 .55043 .53628 .5459 .53428 Metetra .805 .899 .908 r .5459 .53428 .55043 .53628 .55897 .53055 .55447 .52806 Metetra .795 .876 .906 r .55447 .52806 .55897 .53055 .56752 .52502 .56304 .5221 Metetra .784 .856 .904 r .56304 .5221 .56752 .52502 .57609 .51968 .57163 .5164 Metetra .774 .84 .902 r .57163 .5164 .57609 .51968 .58467 .51452 .58024 .51094 Metetra .765 .826 .9 r .58024 .51094 .58467 .51452 .59327 .50954 .58886 .5057 Metetra .756 .813 .898 r .58886 .5057 .59327 .50954 .60189 .50473 .5975 .50066 Metetra .748 .803 .897 r .5975 .50066 .60189 .50473 .61054 .50008 .60617 .49582 Metetra .74 .794 .896 r .60617 .49582 .61054 .50008 .6192 .49557 .61485 .49115 Metetra .734 .786 .895 r .61485 .49115 .6192 .49557 .62789 .4912 .62356 .48663 Metetra .728 .78 .894 r .62356 .48663 .62789 .4912 .6366 .48695 .63229 .48226 Metetra .722 .774 .894 r .63229 .48226 .6366 .48695 .64534 .48282 .64105 .47803 Metetra .717 .769 .894 r .64105 .47803 .64534 .48282 .65411 .4788 .64983 .47391 Metetra .712 .765 .894 r .64983 .47391 .65411 .4788 .6629 .47487 .65864 .4699 Metetra .708 .761 .894 r .65864 .4699 .6629 .47487 .67171 .47104 .66748 .466 Metetra .704 .758 .894 r .66748 .466 .67171 .47104 .68056 .46728 .67634 .46218 Metetra .701 .755 .894 r .67634 .46218 .68056 .46728 .68943 .46359 .68523 .45844 Metetra .698 .753 .894 r .68523 .45844 .68943 .46359 .69833 .45998 .69415 .45477 Metetra .695 .75 .894 r .69415 .45477 .69833 .45998 .70726 .45642 .7031 .45117 Metetra .692 .748 .895 r .7031 .45117 .70726 .45642 .71622 .45292 .71208 .44763 Metetra .689 .747 .895 r .71208 .44763 .71622 .45292 .72521 .44947 .72109 .44415 Metetra .687 .745 .896 r .72109 .44415 .72521 .44947 .73423 .44606 .73013 .44071 Metetra .685 .744 .896 r .73013 .44071 .73423 .44606 .74328 .4427 .7392 .43731 Metetra .683 .743 .896 r .7392 .43731 .74328 .4427 .75236 .43937 .7483 .43396 Metetra .681 .742 .897 r .7483 .43396 .75236 .43937 .76147 .43608 .75743 .43064 Metetra .68 .741 .897 r .75743 .43064 .76147 .43608 .77061 .43281 .76659 .42735 Metetra .678 .74 .897 r .76659 .42735 .77061 .43281 .77978 .42958 .77579 .42409 Metetra .677 .74 .898 r .77579 .42409 .77978 .42958 .78899 .42636 .78502 .42086 Metetra .676 .739 .898 r .78502 .42086 .78899 .42636 .79822 .42317 .79427 .41765 Metetra .675 .739 .899 r .79427 .41765 .79822 .42317 .80749 .42 .80356 .41446 Metetra .674 .738 .899 r .80356 .41446 .80749 .42 .81679 .41684 .81289 .41128 Metetra .673 .738 .899 r .81289 .41128 .81679 .41684 .82612 .4137 .82224 .40812 Metetra .672 .737 .9 r .82224 .40812 .82612 .4137 .83549 .41058 .83163 .40498 Metetra .671 .737 .9 r .83163 .40498 .83549 .41058 .84489 .40746 .84105 .40184 Metetra .67 .737 .9 r .84105 .40184 .84489 .40746 .85432 .40435 .85051 .39872 Metetra .669 .737 .901 r .85051 .39872 .85432 .40435 .86379 .40125 .86 .39561 Metetra .669 .736 .901 r .86 .39561 .86379 .40125 .87328 .39816 .86952 .3925 Metetra .668 .736 .901 r .86952 .3925 .87328 .39816 .88282 .39508 .87907 .38939 Metetra .667 .736 .901 r .87907 .38939 .88282 .39508 .89238 .39199 .88866 .3863 Metetra .667 .736 .902 r .88866 .3863 .89238 .39199 .90198 .38891 .89829 .3832 Metetra .666 .736 .902 r .89829 .3832 .90198 .38891 .91161 .38584 .90794 .38011 Metetra .466 .635 .928 r .35206 .56153 .35694 .56694 .36472 .56748 .35984 .56229 Metetra .343 .586 .934 r .35984 .56229 .36472 .56748 .37249 .5689 .3676 .56419 Metetra .097 .47 .892 r .3676 .56419 .37249 .5689 .38027 .57139 .37533 .56758 Metetra 0 .194 .649 r .37533 .56758 .38027 .57139 .38804 .5751 .38305 .57281 Metetra .688 .144 0 r .38305 .57281 .38804 .5751 .39581 .58006 .39074 .58009 Metetra .785 .316 .123 r .39074 .58009 .39581 .58006 .40361 .58607 .39843 .58927 Metetra .776 .369 .279 r .39843 .58927 .40361 .58607 .41146 .59262 .40616 .59958 Metetra .737 .368 .353 r .40616 .59958 .41146 .59262 .41939 .5989 .41399 .60964 Metetra .684 .34 .386 r .41399 .60964 .41939 .5989 .42742 .60399 .42197 .61776 Metetra .621 .293 .393 r .42197 .61776 .42742 .60399 .43557 .60712 .43013 .6226 Metetra .551 .231 .38 r .43013 .6226 .43557 .60712 .44383 .60788 .43845 .62358 Metetra .469 .154 .349 r .43845 .62358 .44383 .60788 .45219 .60627 .4469 .62097 Metetra .373 .057 .295 r .4469 .62097 .45219 .60627 .46062 .60262 .45544 .61554 Metetra .253 0 .212 r .45544 .61554 .46062 .60262 .4691 .59738 .46402 .60818 Metetra .099 0 .088 r .46402 .60818 .4691 .59738 .47761 .59105 .47263 .59968 Metetra .47263 .59968 .47761 .59105 .48613 .58404 .48123 .59063 Metetra .48123 .59063 .48613 .58404 .49466 .57669 .48984 .58145 Metetra .557 .851 .53 r .48984 .58145 .49466 .57669 .50319 .56923 .49843 .5724 Metetra .718 .964 .703 r .49843 .5724 .50319 .56923 .51173 .56182 .50702 .56363 Metetra .803 .999 .807 r .50702 .56363 .51173 .56182 .52027 .55457 .5156 .55524 Metetra .835 .991 .86 r .5156 .55524 .52027 .55457 .52881 .54755 .52418 .54725 Metetra .841 .965 .884 r .52418 .54725 .52881 .54755 .53735 .54078 .53276 .53968 Metetra .834 .936 .895 r .53276 .53968 .53735 .54078 .5459 .53428 .54135 .53251 Metetra .823 .908 .898 r .54135 .53251 .5459 .53428 .55447 .52806 .54994 .52572 Metetra .81 .884 .899 r .54994 .52572 .55447 .52806 .56304 .5221 .55854 .51929 Metetra .797 .862 .898 r .55854 .51929 .56304 .5221 .57163 .5164 .56715 .51319 Metetra .785 .845 .897 r .56715 .51319 .57163 .5164 .58024 .51094 .57578 .50739 Metetra .773 .829 .896 r .57578 .50739 .58024 .51094 .58886 .5057 .58442 .50187 Metetra .763 .816 .895 r .58442 .50187 .58886 .5057 .5975 .50066 .59308 .4966 Metetra .754 .805 .894 r .59308 .4966 .5975 .50066 .60617 .49582 .60177 .49155 Metetra .746 .796 .893 r .60177 .49155 .60617 .49582 .61485 .49115 .61047 .4867 Metetra .738 .788 .893 r .61047 .4867 .61485 .49115 .62356 .48663 .6192 .48204 Metetra .731 .781 .892 r .6192 .48204 .62356 .48663 .63229 .48226 .62795 .47755 Metetra .725 .775 .892 r .62795 .47755 .63229 .48226 .64105 .47803 .63673 .4732 Metetra .72 .77 .892 r .63673 .4732 .64105 .47803 .64983 .47391 .64553 .46899 Metetra .715 .765 .892 r .64553 .46899 .64983 .47391 .65864 .4699 .65436 .4649 Metetra .71 .762 .893 r .65436 .4649 .65864 .4699 .66748 .466 .66321 .46092 Metetra .706 .758 .893 r .66321 .46092 .66748 .466 .67634 .46218 .6721 .45704 Metetra .702 .755 .893 r .6721 .45704 .67634 .46218 .68523 .45844 .68101 .45324 Metetra .699 .753 .894 r .68101 .45324 .68523 .45844 .69415 .45477 .68995 .44953 Metetra .696 .751 .894 r .68995 .44953 .69415 .45477 .7031 .45117 .69892 .44589 Metetra .693 .749 .894 r .69892 .44589 .7031 .45117 .71208 .44763 .70792 .44231 Metetra .69 .747 .895 r .70792 .44231 .71208 .44763 .72109 .44415 .71695 .43879 Metetra .688 .745 .895 r .71695 .43879 .72109 .44415 .73013 .44071 .72601 .43532 Metetra .686 .744 .896 r .72601 .43532 .73013 .44071 .7392 .43731 .7351 .43189 Metetra .684 .743 .896 r .7351 .43189 .7392 .43731 .7483 .43396 .74422 .42851 Metetra .682 .742 .897 r .74422 .42851 .7483 .43396 .75743 .43064 .75337 .42517 Metetra .68 .741 .897 r .75337 .42517 .75743 .43064 .76659 .42735 .76256 .42186 Metetra .679 .74 .897 r .76256 .42186 .76659 .42735 .77579 .42409 .77177 .41858 Metetra .677 .74 .898 r .77177 .41858 .77579 .42409 .78502 .42086 .78102 .41532 Metetra .676 .739 .898 r .78102 .41532 .78502 .42086 .79427 .41765 .7903 .41209 Metetra .675 .739 .899 r .7903 .41209 .79427 .41765 .80356 .41446 .79961 .40888 Metetra .674 .738 .899 r .79961 .40888 .80356 .41446 .81289 .41128 .80896 .40569 Metetra .672 .738 .899 r .80896 .40569 .81289 .41128 .82224 .40812 .81834 .40251 Metetra .672 .737 .9 r .81834 .40251 .82224 .40812 .83163 .40498 .82775 .39935 Metetra .671 .737 .9 r .82775 .39935 .83163 .40498 .84105 .40184 .83719 .3962 Metetra .67 .737 .9 r .83719 .3962 .84105 .40184 .85051 .39872 .84667 .39306 Metetra .669 .737 .901 r .84667 .39306 .85051 .39872 .86 .39561 .85618 .38993 Metetra .668 .737 .901 r .85618 .38993 .86 .39561 .86952 .3925 .86573 .3868 Metetra .668 .736 .901 r .86573 .3868 .86952 .3925 .87907 .38939 .87531 .38368 Metetra .667 .736 .902 r .87531 .38368 .87907 .38939 .88866 .3863 .88492 .38057 Metetra .667 .736 .902 r .88492 .38057 .88866 .3863 .89829 .3832 .89457 .37746 Metetra .666 .736 .902 r .89457 .37746 .89829 .3832 .90794 .38011 .90425 .37435 Metetra .463 .621 .919 r .34718 .5558 .35206 .56153 .35984 .56229 .35495 .55671 Metetra .316 .555 .92 r .35495 .55671 .35984 .56229 .3676 .56419 .36269 .55905 Metetra 0 .379 .84 r .36269 .55905 .3676 .56419 .37533 .56758 .37039 .56345 Metetra .544 .016 0 r .37039 .56345 .37533 .56758 .38305 .57281 .37801 .57063 Metetra .816 .335 .041 r .37801 .57063 .38305 .57281 .39074 .58009 .38557 .58125 Metetra .84 .439 .284 r .38557 .58125 .39074 .58009 .39843 .58927 .39307 .59542 Metetra .806 .454 .391 r .39307 .59542 .39843 .58927 .40616 .59958 .40059 .61207 Metetra .755 .433 .44 r .40059 .61207 .40616 .59958 .41399 .60964 .40823 .62861 Metetra .694 .392 .459 r .40823 .62861 .41399 .60964 .42197 .61776 .41611 .64167 Metetra .625 .336 .459 r .41611 .64167 .42197 .61776 .43013 .6226 .42428 .64866 Metetra .549 .27 .444 r .42428 .64866 .43013 .6226 .43845 .62358 .43271 .64898 Metetra .466 .192 .413 r .43271 .64898 .43845 .62358 .4469 .62097 .44132 .64375 Metetra .371 .099 .365 r .44132 .64375 .4469 .62097 .45544 .61554 .45003 .63477 Metetra .258 0 .293 r .45003 .63477 .45544 .61554 .46402 .60818 .45877 .6237 Metetra .115 0 .187 r .45877 .6237 .46402 .60818 .47263 .59968 .46751 .61175 Metetra 0 0 .033 r .46751 .61175 .47263 .59968 .48123 .59063 .47624 .5997 Metetra .47624 .5997 .48123 .59063 .48984 .58145 .48494 .58798 Metetra .48494 .58798 .48984 .58145 .49843 .5724 .49361 .57683 Metetra .712 .933 .611 r .49361 .57683 .49843 .5724 .50702 .56363 .50226 .56635 Metetra .815 .992 .747 r .50226 .56635 .50702 .56363 .5156 .55524 .51089 .55655 Metetra .856 .995 .822 r .51089 .55655 .5156 .55524 .52418 .54725 .51952 .54741 Metetra .863 .973 .859 r .51952 .54741 .52418 .54725 .53276 .53968 .52813 .5389 Metetra .854 .944 .877 r .52813 .5389 .53276 .53968 .54135 .53251 .53675 .53096 Metetra .84 .915 .886 r .53675 .53096 .54135 .53251 .54994 .52572 .54537 .52354 Metetra .825 .89 .889 r .54537 .52354 .54994 .52572 .55854 .51929 .554 .51658 Metetra .809 .867 .891 r .554 .51658 .55854 .51929 .56715 .51319 .56263 .51005 Metetra .795 .849 .891 r .56263 .51005 .56715 .51319 .57578 .50739 .57128 .50389 Metetra .782 .833 .891 r .57128 .50389 .57578 .50739 .58442 .50187 .57995 .49806 Metetra .771 .819 .891 r .57995 .49806 .58442 .50187 .59308 .4966 .58863 .49253 Metetra .76 .807 .89 r .58863 .49253 .59308 .4966 .60177 .49155 .59734 .48727 Metetra .751 .798 .89 r .59734 .48727 .60177 .49155 .61047 .4867 .60606 .48224 Metetra .743 .789 .89 r .60606 .48224 .61047 .4867 .6192 .48204 .61481 .47743 Metetra .735 .782 .89 r .61481 .47743 .6192 .48204 .62795 .47755 .62358 .4728 Metetra .728 .776 .891 r .62358 .4728 .62795 .47755 .63673 .4732 .63238 .46835 Metetra .722 .77 .891 r .63238 .46835 .63673 .4732 .64553 .46899 .6412 .46404 Metetra .717 .766 .891 r .6412 .46404 .64553 .46899 .65436 .4649 .65005 .45987 Metetra .712 .762 .892 r .65005 .45987 .65436 .4649 .66321 .46092 .65892 .45581 Metetra .707 .758 .892 r .65892 .45581 .66321 .46092 .6721 .45704 .66783 .45187 Metetra .703 .756 .892 r .66783 .45187 .6721 .45704 .68101 .45324 .67676 .44802 Metetra .7 .753 .893 r .67676 .44802 .68101 .45324 .68995 .44953 .68572 .44425 Metetra .696 .751 .893 r .68572 .44425 .68995 .44953 .69892 .44589 .69471 .44057 Metetra .693 .749 .894 r .69471 .44057 .69892 .44589 .70792 .44231 .70373 .43695 Metetra .691 .747 .895 r .70373 .43695 .70792 .44231 .71695 .43879 .71278 .43339 Metetra .688 .746 .895 r .71278 .43339 .71695 .43879 .72601 .43532 .72186 .42989 Metetra .686 .744 .896 r .72186 .42989 .72601 .43532 .7351 .43189 .73097 .42644 Metetra .684 .743 .896 r .73097 .42644 .7351 .43189 .74422 .42851 .74011 .42303 Metetra .682 .742 .897 r .74011 .42303 .74422 .42851 .75337 .42517 .74929 .41967 Metetra .68 .741 .897 r .74929 .41967 .75337 .42517 .76256 .42186 .75849 .41633 Metetra .679 .74 .897 r .75849 .41633 .76256 .42186 .77177 .41858 .76773 .41303 Metetra .677 .74 .898 r .76773 .41303 .77177 .41858 .78102 .41532 .777 .40975 Metetra .676 .739 .898 r .777 .40975 .78102 .41532 .7903 .41209 .7863 .4065 Metetra .675 .739 .899 r .7863 .4065 .7903 .41209 .79961 .40888 .79564 .40327 Metetra .673 .738 .899 r .79564 .40327 .79961 .40888 .80896 .40569 .80501 .40006 Metetra .672 .738 .9 r .80501 .40006 .80896 .40569 .81834 .40251 .81441 .39687 Metetra .671 .738 .9 r .81441 .39687 .81834 .40251 .82775 .39935 .82384 .39369 Metetra .671 .737 .9 r .82384 .39369 .82775 .39935 .83719 .3962 .83331 .39052 Metetra .67 .737 .901 r .83331 .39052 .83719 .3962 .84667 .39306 .84281 .38736 Metetra .669 .737 .901 r .84281 .38736 .84667 .39306 .85618 .38993 .85235 .38421 Metetra .668 .737 .901 r .85235 .38421 .85618 .38993 .86573 .3868 .86191 .38107 Metetra .668 .737 .901 r .86191 .38107 .86573 .3868 .87531 .38368 .87152 .37794 Metetra .667 .736 .902 r .87152 .37794 .87531 .38368 .88492 .38057 .88116 .37481 Metetra .667 .736 .902 r .88116 .37481 .88492 .38057 .89457 .37746 .89083 .37168 Metetra .666 .736 .902 r .89083 .37168 .89457 .37746 .90425 .37435 .90053 .36855 Metetra .471 .612 .909 r .34229 .54974 .34718 .5558 .35495 .55671 .35006 .55065 Metetra .308 .531 .905 r .35006 .55065 .35495 .55671 .36269 .55905 .35779 .55331 Metetra 0 .295 .788 r .35779 .55331 .36269 .55905 .37039 .56345 .36544 .55873 Metetra .697 .195 0 r .36544 .55873 .37039 .56345 .37801 .57063 .37295 .56835 Metetra .882 .461 .199 r .37295 .56835 .37801 .57063 .38557 .58125 .38029 .58385 Metetra .869 .518 .384 r .38029 .58385 .38557 .58125 .39307 .59542 .38745 .60635 Metetra .823 .51 .46 r .38745 .60635 .39307 .59542 .40059 .61207 .39453 .63463 Metetra .765 .475 .493 r .39453 .63463 .40059 .61207 .40823 .62861 .40178 .66352 Metetra .694 .42 .504 r .40178 .66352 .40823 .62861 .41611 .64167 .40946 .68517 Metetra .613 .353 .499 r .40946 .68517 .41611 .64167 .42428 .64866 .41769 .69418 Metetra .527 .278 .481 r .41769 .69418 .42428 .64866 .43271 .64898 .42637 .69085 Metetra .438 .197 .45 r .42637 .69085 .43271 .64898 .44132 .64375 .43529 .67908 Metetra .341 .106 .404 r .43529 .67908 .44132 .64375 .45003 .63477 .4443 .663 Metetra .23 0 .338 r .4443 .663 .45003 .63477 .45877 .6237 .4533 .64547 Metetra .091 0 .241 r .4533 .64547 .45877 .6237 .46751 .61175 .46224 .62811 Metetra 0 0 .101 r .46224 .62811 .46751 .61175 .47624 .5997 .47112 .61169 Metetra .47112 .61169 .47624 .5997 .48494 .58798 .47994 .59652 Metetra .47994 .59652 .48494 .58798 .49361 .57683 .48871 .58264 Metetra .719 .903 .531 r .48871 .58264 .49361 .57683 .50226 .56635 .49744 .57001 Metetra .831 .98 .687 r .49744 .57001 .50226 .56635 .51089 .55655 .50613 .55851 Metetra .877 .993 .781 r .50613 .55851 .51089 .55655 .51952 .54741 .51481 .54802 Metetra .884 .976 .831 r .51481 .54802 .51952 .54741 .52813 .5389 .52347 .53842 Metetra .874 .949 .857 r .52347 .53842 .52813 .5389 .53675 .53096 .53212 .52961 Metetra .857 .92 .871 r .53212 .52961 .53675 .53096 .54537 .52354 .54077 .52148 Metetra .839 .894 .878 r .54077 .52148 .54537 .52354 .554 .51658 .54942 .51395 Metetra .822 .871 .882 r .54942 .51395 .554 .51658 .56263 .51005 .55809 .50695 Metetra .806 .852 .884 r .55809 .50695 .56263 .51005 .57128 .50389 .56676 .5004 Metetra .791 .835 .885 r .56676 .5004 .57128 .50389 .57995 .49806 .57545 .49425 Metetra .778 .821 .886 r .57545 .49425 .57995 .49806 .58863 .49253 .58416 .48846 Metetra .767 .809 .887 r .58416 .48846 .58863 .49253 .59734 .48727 .59288 .48297 Metetra .756 .799 .887 r .59288 .48297 .59734 .48727 .60606 .48224 .60163 .47776 Metetra .747 .79 .888 r .60163 .47776 .60606 .48224 .61481 .47743 .61039 .47279 Metetra .739 .783 .888 r .61039 .47279 .61481 .47743 .62358 .4728 .61919 .46803 Metetra .731 .776 .889 r .61919 .46803 .62358 .4728 .63238 .46835 .628 .46345 Metetra .725 .771 .889 r .628 .46345 .63238 .46835 .6412 .46404 .63684 .45905 Metetra .719 .766 .89 r .63684 .45905 .6412 .46404 .65005 .45987 .64571 .45479 Metetra .714 .762 .891 r .64571 .45479 .65005 .45987 .65892 .45581 .65461 .45067 Metetra .709 .759 .891 r .65461 .45067 .65892 .45581 .66783 .45187 .66353 .44666 Metetra .705 .756 .892 r .66353 .44666 .66783 .45187 .67676 .44802 .67248 .44276 Metetra .701 .753 .892 r .67248 .44276 .67676 .44802 .68572 .44425 .68146 .43894 Metetra .697 .751 .893 r .68146 .43894 .68572 .44425 .69471 .44057 .69047 .43521 Metetra .694 .749 .894 r .69047 .43521 .69471 .44057 .70373 .43695 .69951 .43156 Metetra .691 .747 .894 r .69951 .43156 .70373 .43695 .71278 .43339 .70858 .42797 Metetra .689 .746 .895 r .70858 .42797 .71278 .43339 .72186 .42989 .71769 .42444 Metetra .686 .744 .895 r .71769 .42444 .72186 .42989 .73097 .42644 .72682 .42096 Metetra .684 .743 .896 r .72682 .42096 .73097 .42644 .74011 .42303 .73598 .41752 Metetra .682 .742 .896 r .73598 .41752 .74011 .42303 .74929 .41967 .74518 .41413 Metetra .68 .741 .897 r .74518 .41413 .74929 .41967 .75849 .41633 .75441 .41077 Metetra .679 .741 .897 r .75441 .41077 .75849 .41633 .76773 .41303 .76367 .40745 Metetra .677 .74 .898 r .76367 .40745 .76773 .41303 .777 .40975 .77296 .40415 Metetra .676 .739 .898 r .77296 .40415 .777 .40975 .7863 .4065 .78228 .40088 Metetra .675 .739 .899 r .78228 .40088 .7863 .4065 .79564 .40327 .79164 .39763 Metetra .673 .738 .899 r .79164 .39763 .79564 .40327 .80501 .40006 .80103 .3944 Metetra .672 .738 .9 r .80103 .3944 .80501 .40006 .81441 .39687 .81045 .39119 Metetra .671 .738 .9 r .81045 .39119 .81441 .39687 .82384 .39369 .81991 .388 Metetra .671 .737 .9 r .81991 .388 .82384 .39369 .83331 .39052 .8294 .38481 Metetra .67 .737 .901 r .8294 .38481 .83331 .39052 .84281 .38736 .83893 .38164 Metetra .669 .737 .901 r .83893 .38164 .84281 .38736 .85235 .38421 .84849 .37847 Metetra .668 .737 .901 r .84849 .37847 .85235 .38421 .86191 .38107 .85808 .37531 Metetra .668 .737 .902 r .85808 .37531 .86191 .38107 .87152 .37794 .86771 .37216 Metetra .667 .737 .902 r .86771 .37216 .87152 .37794 .88116 .37481 .87737 .36901 Metetra .666 .736 .902 r .87737 .36901 .88116 .37481 .89083 .37168 .88706 .36587 Metetra .666 .736 .902 r .88706 .36587 .89083 .37168 .90053 .36855 .8968 .36273 Metetra .493 .61 .897 r .33739 .54334 .34229 .54974 .35006 .55065 .34518 .54405 Metetra .332 .522 .892 r .34518 .54405 .35006 .55065 .35779 .55331 .35291 .54677 Metetra 0 .245 .758 r .35291 .54677 .35779 .55331 .36544 .55873 .36051 .55302 Metetra .785 .322 0 r .36051 .55302 .36544 .55873 .37295 .56835 .36787 .56548 Metetra .917 .544 .297 r .36787 .56548 .37295 .56835 .38029 .58385 .37487 .58813 Metetra .888 .571 .444 r .37487 .58813 .38029 .58385 .38745 .60635 .38139 .6254 Metetra .839 .551 .502 r .38139 .6254 .38745 .60635 .39453 .63463 .38752 .67778 Metetra .729 .46 .521 r .38752 .67778 .39453 .63463 .40178 .66352 .39455 .7147 Metetra .536 .29 .489 r .39455 .7147 .40178 .66352 .40946 .68517 .40321 .71229 Metetra .511 .234 .43 r .40321 .71229 .40946 .68517 .41769 .69418 .4119 .70987 Metetra .467 .145 .336 r .4119 .70987 .41769 .69418 .42637 .69085 .42062 .70745 Metetra .473 .156 .348 r .42062 .70745 .42637 .69085 .43529 .67908 .42937 .70501 Metetra .508 .228 .424 r .42937 .70501 .43529 .67908 .4443 .663 .43815 .70257 Metetra .175 0 .352 r .43815 .70257 .4443 .663 .4533 .64547 .44753 .67518 Metetra .03 0 .259 r .44753 .67518 .4533 .64547 .46224 .62811 .45677 .64952 Metetra 0 0 .127 r .45677 .64952 .46224 .62811 .47112 .61169 .46587 .62694 Metetra .46587 .62694 .47112 .61169 .47994 .59652 .47485 .60717 Metetra .47485 .60717 .47994 .59652 .48871 .58264 .48374 .58985 Metetra .744 .883 .475 r .48374 .58985 .48871 .58264 .49744 .57001 .49255 .57459 Metetra .853 .965 .638 r .49255 .57459 .49744 .57001 .50613 .55851 .50132 .56108 Metetra .899 .986 .742 r .50132 .56108 .50613 .55851 .51481 .54802 .51005 .54904 Metetra .905 .974 .802 r .51005 .54904 .51481 .54802 .52347 .53842 .51876 .53822 Metetra .893 .949 .836 r .51876 .53822 .52347 .53842 .53212 .52961 .52745 .52844 Metetra .874 .922 .855 r .52745 .52844 .53212 .52961 .54077 .52148 .53613 .51954 Metetra .854 .896 .866 r .53613 .51954 .54077 .52148 .54942 .51395 .54482 .51139 Metetra .834 .873 .873 r .54482 .51139 .54942 .51395 .55809 .50695 .55351 .50388 Metetra .816 .854 .877 r .55351 .50388 .55809 .50695 .56676 .5004 .56221 .49692 Metetra .8 .837 .879 r .56221 .49692 .56676 .5004 .57545 .49425 .57092 .49044 Metetra .785 .822 .881 r .57092 .49044 .57545 .49425 .58416 .48846 .57965 .48437 Metetra .773 .81 .883 r .57965 .48437 .58416 .48846 .59288 .48297 .5884 .47865 Metetra .761 .8 .884 r .5884 .47865 .59288 .48297 .60163 .47776 .59716 .47324 Metetra .751 .791 .885 r .59716 .47324 .60163 .47776 .61039 .47279 .60595 .46811 Metetra .742 .783 .886 r .60595 .46811 .61039 .47279 .61919 .46803 .61476 .46322 Metetra .735 .777 .887 r .61476 .46322 .61919 .46803 .628 .46345 .6236 .45853 Metetra .727 .771 .888 r .6236 .45853 .628 .46345 .63684 .45905 .63246 .45403 Metetra .721 .767 .889 r .63246 .45403 .63684 .45905 .64571 .45479 .64135 .44968 Metetra .716 .763 .89 r .64135 .44968 .64571 .45479 .65461 .45067 .65026 .44549 Metetra .71 .759 .89 r .65026 .44549 .65461 .45067 .66353 .44666 .65921 .44142 Metetra .706 .756 .891 r .65921 .44142 .66353 .44666 .67248 .44276 .66818 .43746 Metetra .702 .753 .892 r .66818 .43746 .67248 .44276 .68146 .43894 .67718 .4336 Metetra .698 .751 .893 r .67718 .4336 .68146 .43894 .69047 .43521 .68621 .42983 Metetra .695 .749 .893 r .68621 .42983 .69047 .43521 .69951 .43156 .69527 .42613 Metetra .692 .747 .894 r .69527 .42613 .69951 .43156 .70858 .42797 .70436 .42251 Metetra .689 .746 .895 r .70436 .42251 .70858 .42797 .71769 .42444 .71349 .41894 Metetra .687 .744 .895 r .71349 .41894 .71769 .42444 .72682 .42096 .72264 .41544 Metetra .684 .743 .896 r .72264 .41544 .72682 .42096 .73598 .41752 .73183 .41198 Metetra .682 .742 .896 r .73183 .41198 .73598 .41752 .74518 .41413 .74104 .40856 Metetra .681 .741 .897 r .74104 .40856 .74518 .41413 .75441 .41077 .75029 .40518 Metetra .679 .741 .898 r .75029 .40518 .75441 .41077 .76367 .40745 .75957 .40184 Metetra .677 .74 .898 r .75957 .40184 .76367 .40745 .77296 .40415 .76889 .39852 Metetra .676 .739 .898 r .76889 .39852 .77296 .40415 .78228 .40088 .77824 .39523 Metetra .675 .739 .899 r .77824 .39523 .78228 .40088 .79164 .39763 .78762 .39196 Metetra .673 .739 .899 r .78762 .39196 .79164 .39763 .80103 .3944 .79703 .38872 Metetra .672 .738 .9 r .79703 .38872 .80103 .3944 .81045 .39119 .80648 .38549 Metetra .671 .738 .9 r .80648 .38549 .81045 .39119 .81991 .388 .81596 .38227 Metetra .67 .738 .901 r .81596 .38227 .81991 .388 .8294 .38481 .82547 .37907 Metetra .67 .737 .901 r .82547 .37907 .8294 .38481 .83893 .38164 .83502 .37588 Metetra .669 .737 .901 r .83502 .37588 .83893 .38164 .84849 .37847 .8446 .3727 Metetra .668 .737 .902 r .8446 .3727 .84849 .37847 .85808 .37531 .85422 .36952 Metetra .667 .737 .902 r .85422 .36952 .85808 .37531 .86771 .37216 .86387 .36635 Metetra .667 .737 .902 r .86387 .36635 .86771 .37216 .87737 .36901 .87356 .36319 Metetra .666 .737 .902 r .87356 .36319 .87737 .36901 .88706 .36587 .88328 .36003 Metetra .666 .736 .903 r .88328 .36003 .88706 .36587 .8968 .36273 .89303 .35687 Metetra .526 .617 .885 r .33248 .53667 .33739 .54334 .34518 .54405 .3403 .53693 Metetra .388 .534 .88 r .3403 .53693 .34518 .54405 .35291 .54677 .34805 .53925 Metetra 0 .257 .767 r .34805 .53925 .35291 .54677 .36051 .55302 .35563 .54579 Metetra .818 .391 0 r .35563 .54579 .36051 .55302 .36787 .56548 .36284 .56105 Metetra .941 .601 .352 r .36284 .56105 .36787 .56548 .37487 .58813 .36933 .59385 Metetra .905 .612 .479 r .36933 .59385 .37487 .58813 .38139 .6254 .37459 .65882 Metetra .794 .517 .519 r .37459 .65882 .38139 .6254 .38752 .67778 .38068 .71266 Metetra .522 .258 .456 r .38068 .71266 .38752 .67778 .39455 .7147 .38933 .71024 Metetra .645 .763 .934 r .38933 .71024 .39455 .7147 .40321 .71229 .39801 .70782 Metetra .645 .763 .934 r .39801 .70782 .40321 .71229 .4119 .70987 .40671 .70539 Metetra .645 .763 .934 r .40671 .70539 .4119 .70987 .42062 .70745 .41545 .70295 Metetra .645 .763 .934 r .41545 .70295 .42062 .70745 .42937 .70501 .42422 .7005 Metetra .645 .763 .934 r .42422 .7005 .42937 .70501 .43815 .70257 .43302 .69804 Metetra .645 .763 .934 r .43302 .69804 .43815 .70257 .44753 .67518 .44185 .69558 Metetra 0 0 .157 r .44185 .69558 .44753 .67518 .45677 .64952 .45107 .67645 Metetra 0 0 .114 r .45107 .67645 .45677 .64952 .46587 .62694 .46046 .64552 Metetra .46046 .64552 .46587 .62694 .47485 .60717 .46964 .61989 Metetra .46964 .61989 .47485 .60717 .48374 .58985 .47867 .59836 Metetra .786 .876 .447 r .47867 .59836 .48374 .58985 .49255 .57459 .4876 .58002 Metetra .881 .952 .603 r .4876 .58002 .49255 .57459 .50132 .56108 .49645 .5642 Metetra .92 .975 .709 r .49645 .5642 .50132 .56108 .51005 .54904 .50524 .5504 Metetra .924 .967 .774 r .50524 .5504 .51005 .54904 .51876 .53822 .514 .53824 Metetra .91 .946 .814 r .514 .53824 .51876 .53822 .52745 .52844 .52274 .52741 Metetra .889 .92 .838 r .52274 .52741 .52745 .52844 .53613 .51954 .53146 .51768 Metetra .867 .896 .853 r .53146 .51768 .53613 .51954 .54482 .51139 .54018 .50887 Metetra .845 .874 .862 r .54018 .50887 .54482 .51139 .55351 .50388 .5489 .50083 Metetra .826 .854 .868 r .5489 .50083 .55351 .50388 .56221 .49692 .55762 .49344 Metetra .808 .837 .873 r .55762 .49344 .56221 .49692 .57092 .49044 .56636 .48661 Metetra .792 .823 .876 r .56636 .48661 .57092 .49044 .57965 .48437 .57511 .48025 Metetra .779 .811 .878 r .57511 .48025 .57965 .48437 .5884 .47865 .58388 .4743 Metetra .766 .8 .881 r .58388 .4743 .5884 .47865 .59716 .47324 .59267 .4687 Metetra .756 .792 .882 r .59267 .4687 .59716 .47324 .60595 .46811 .60148 .4634 Metetra .746 .784 .884 r .60148 .4634 .60595 .46811 .61476 .46322 .61031 .45837 Metetra .738 .777 .885 r .61031 .45837 .61476 .46322 .6236 .45853 .61917 .45356 Metetra .73 .772 .886 r .61917 .45356 .6236 .45853 .63246 .45403 .62805 .44896 Metetra .723 .767 .887 r .62805 .44896 .63246 .45403 .64135 .44968 .63696 .44454 Metetra .717 .763 .888 r .63696 .44454 .64135 .44968 .65026 .44549 .64589 .44027 Metetra .712 .759 .889 r .64589 .44027 .65026 .44549 .65921 .44142 .65486 .43614 Metetra .707 .756 .89 r .65486 .43614 .65921 .44142 .66818 .43746 .66385 .43212 Metetra .703 .754 .891 r .66385 .43212 .66818 .43746 .67718 .4336 .67287 .42822 Metetra .699 .751 .892 r .67287 .42822 .67718 .4336 .68621 .42983 .68192 .4244 Metetra .695 .749 .893 r .68192 .4244 .68621 .42983 .69527 .42613 .691 .42067 Metetra .692 .747 .894 r .691 .42067 .69527 .42613 .70436 .42251 .70012 .41701 Metetra .69 .746 .894 r .70012 .41701 .70436 .42251 .71349 .41894 .70926 .41342 Metetra .687 .745 .895 r .70926 .41342 .71349 .41894 .72264 .41544 .71844 .40989 Metetra .685 .743 .896 r .71844 .40989 .72264 .41544 .73183 .41198 .72764 .4064 Metetra .683 .742 .896 r .72764 .4064 .73183 .41198 .74104 .40856 .73688 .40296 Metetra .681 .742 .897 r .73688 .40296 .74104 .40856 .75029 .40518 .74615 .39956 Metetra .679 .741 .898 r .74615 .39956 .75029 .40518 .75957 .40184 .75546 .39619 Metetra .677 .74 .898 r .75546 .39619 .75957 .40184 .76889 .39852 .7648 .39286 Metetra .676 .74 .899 r .7648 .39286 .76889 .39852 .77824 .39523 .77416 .38955 Metetra .675 .739 .899 r .77416 .38955 .77824 .39523 .78762 .39196 .78357 .38626 Metetra .673 .739 .9 r .78357 .38626 .78762 .39196 .79703 .38872 .793 .383 Metetra .672 .738 .9 r .793 .383 .79703 .38872 .80648 .38549 .80247 .37975 Metetra .671 .738 .9 r .80247 .37975 .80648 .38549 .81596 .38227 .81198 .37652 Metetra .67 .738 .901 r .81198 .37652 .81596 .38227 .82547 .37907 .82152 .3733 Metetra .669 .737 .901 r .82152 .3733 .82547 .37907 .83502 .37588 .83109 .37009 Metetra .669 .737 .901 r .83109 .37009 .83502 .37588 .8446 .3727 .84069 .36689 Metetra .668 .737 .902 r .84069 .36689 .8446 .3727 .85422 .36952 .85033 .3637 Metetra .667 .737 .902 r .85033 .3637 .85422 .36952 .86387 .36635 .86001 .36051 Metetra .667 .737 .902 r .86001 .36051 .86387 .36635 .87356 .36319 .86972 .35733 Metetra .666 .737 .903 r .86972 .35733 .87356 .36319 .88328 .36003 .87947 .35416 Metetra .666 .737 .903 r .87947 .35416 .88328 .36003 .89303 .35687 .88925 .35098 Metetra .567 .631 .875 r .32755 .52987 .33248 .53667 .3403 .53693 .33542 .52942 Metetra .469 .564 .869 r .33542 .52942 .3403 .53693 .34805 .53925 .34323 .53079 Metetra .133 .341 .804 r .34323 .53079 .34805 .53925 .35563 .54579 .35084 .53653 Metetra .782 .391 0 r .35084 .53653 .35563 .54579 .36284 .56105 .35793 .55352 Metetra .959 .641 .378 r .35793 .55352 .36284 .56105 .36933 .59385 .36374 .5993 Metetra .921 .641 .495 r .36374 .5993 .36933 .59385 .37459 .65882 .36677 .71062 Metetra .534 .286 .486 r .36677 .71062 .37459 .65882 .38068 .71266 .3754 .70819 Metetra .645 .763 .934 r .3754 .70819 .38068 .71266 .38933 .71024 .38407 .70576 Metetra .645 .763 .934 r .38407 .70576 .38933 .71024 .39801 .70782 .39277 .70332 Metetra .645 .763 .934 r .39277 .70332 .39801 .70782 .40671 .70539 .4015 .70088 Metetra .645 .763 .934 r .4015 .70088 .40671 .70539 .41545 .70295 .41025 .69842 Metetra .645 .763 .934 r .41025 .69842 .41545 .70295 .42422 .7005 .41904 .69596 Metetra .645 .763 .934 r .41904 .69596 .42422 .7005 .43302 .69804 .42786 .69348 Metetra .645 .763 .934 r .42786 .69348 .43302 .69804 .44185 .69558 .43671 .691 Metetra .645 .763 .934 r .43671 .691 .44185 .69558 .45107 .67645 .44558 .68851 Metetra .691 .79 .319 r .44558 .68851 .45107 .67645 .46046 .64552 .45489 .66709 Metetra .45489 .66709 .46046 .64552 .46964 .61989 .46432 .63438 Metetra .717 .77 .275 r .46432 .63438 .46964 .61989 .47867 .59836 .47353 .60794 Metetra .84 .88 .444 r .47353 .60794 .47867 .59836 .4876 .58002 .48258 .5861 Metetra .913 .941 .583 r .48258 .5861 .4876 .58002 .49645 .5642 .49152 .56773 Metetra .941 .962 .683 r .49152 .56773 .49645 .5642 .50524 .5504 .50039 .55202 Metetra .94 .956 .75 r .50039 .55202 .50524 .5504 .514 .53824 .5092 .53841 Metetra .924 .938 .793 r .5092 .53841 .514 .53824 .52274 .52741 .51799 .52646 Metetra .902 .916 .821 r .51799 .52646 .52274 .52741 .53146 .51768 .52675 .51586 Metetra .878 .893 .839 r .52675 .51586 .53146 .51768 .54018 .50887 .5355 .50636 Metetra .855 .872 .851 r .5355 .50636 .54018 .50887 .5489 .50083 .54425 .49777 Metetra .835 .854 .86 r .54425 .49777 .5489 .50083 .55762 .49344 .553 .48994 Metetra .816 .837 .866 r .553 .48994 .55762 .49344 .56636 .48661 .56177 .48275 Metetra .799 .823 .87 r .56177 .48275 .56636 .48661 .57511 .48025 .57054 .4761 Metetra .784 .811 .874 r .57054 .4761 .57511 .48025 .58388 .4743 .57933 .46991 Metetra .771 .801 .877 r .57933 .46991 .58388 .4743 .59267 .4687 .58814 .46411 Metetra .76 .792 .879 r .58814 .46411 .59267 .4687 .60148 .4634 .59697 .45865 Metetra .749 .784 .881 r .59697 .45865 .60148 .4634 .61031 .45837 .60583 .45348 Metetra .74 .778 .883 r .60583 .45348 .61031 .45837 .61917 .45356 .6147 .44856 Metetra .732 .772 .885 r .6147 .44856 .61917 .45356 .62805 .44896 .62361 .44386 Metetra .725 .767 .886 r .62361 .44386 .62805 .44896 .63696 .44454 .63254 .43935 Metetra .719 .763 .887 r .63254 .43935 .63696 .44454 .64589 .44027 .64149 .43501 Metetra .713 .76 .889 r .64149 .43501 .64589 .44027 .65486 .43614 .65048 .43082 Metetra .708 .756 .89 r .65048 .43082 .65486 .43614 .66385 .43212 .65949 .42675 Metetra .704 .754 .891 r .65949 .42675 .66385 .43212 .67287 .42822 .66853 .4228 Metetra .7 .751 .892 r .66853 .4228 .67287 .42822 .68192 .4244 .67761 .41895 Metetra .696 .749 .893 r .67761 .41895 .68192 .4244 .691 .42067 .68671 .41518 Metetra .693 .748 .894 r .68671 .41518 .691 .42067 .70012 .41701 .69585 .41149 Metetra .69 .746 .894 r .69585 .41149 .70012 .41701 .70926 .41342 .70501 .40786 Metetra .687 .745 .895 r .70501 .40786 .70926 .41342 .71844 .40989 .71421 .4043 Metetra .685 .744 .896 r .71421 .4043 .71844 .40989 .72764 .4064 .72344 .40079 Metetra .683 .743 .896 r .72344 .40079 .72764 .4064 .73688 .40296 .7327 .39733 Metetra .681 .742 .897 r .7327 .39733 .73688 .40296 .74615 .39956 .74199 .3939 Metetra .679 .741 .898 r .74199 .3939 .74615 .39956 .75546 .39619 .75132 .39052 Metetra .677 .74 .898 r .75132 .39052 .75546 .39619 .7648 .39286 .76068 .38716 Metetra .676 .74 .899 r .76068 .38716 .7648 .39286 .77416 .38955 .77007 .38383 Metetra .675 .739 .899 r .77007 .38383 .77416 .38955 .78357 .38626 .77949 .38053 Metetra .673 .739 .9 r .77949 .38053 .78357 .38626 .793 .383 .78895 .37725 Metetra .672 .739 .9 r .78895 .37725 .793 .383 .80247 .37975 .79845 .37398 Metetra .671 .738 .901 r .79845 .37398 .80247 .37975 .81198 .37652 .80797 .37073 Metetra .67 .738 .901 r .80797 .37073 .81198 .37652 .82152 .3733 .81754 .3675 Metetra .669 .738 .901 r .81754 .3675 .82152 .3733 .83109 .37009 .82713 .36427 Metetra .669 .737 .902 r .82713 .36427 .83109 .37009 .84069 .36689 .83676 .36106 Metetra .668 .737 .902 r .83676 .36106 .84069 .36689 .85033 .3637 .84643 .35785 Metetra .667 .737 .902 r .84643 .35785 .85033 .3637 .86001 .36051 .85613 .35465 Metetra .667 .737 .903 r .85613 .35465 .86001 .36051 .86972 .35733 .86586 .35145 Metetra .666 .737 .903 r .86586 .35145 .86972 .35733 .87947 .35416 .87563 .34825 Metetra .666 .737 .903 r .87563 .34825 .87947 .35416 .88925 .35098 .88544 .34506 Metetra .607 .651 .868 r .3226 .52315 .32755 .52987 .33542 .52942 .33053 .52187 Metetra .555 .604 .857 r .33053 .52187 .33542 .52942 .34323 .53079 .33842 .52174 Metetra .365 .464 .829 r .33842 .52174 .34323 .53079 .35084 .53653 .34615 .52519 Metetra 0 0 .329 r .34615 .52519 .35084 .53653 .35793 .55352 .35326 .54126 Metetra .972 .67 .381 r .35326 .54126 .35793 .55352 .36374 .5993 .3583 .60051 Metetra .931 .649 .485 r .3583 .60051 .36374 .5993 .36677 .71062 .36144 .70614 Metetra .645 .763 .934 r .36144 .70614 .36677 .71062 .3754 .70819 .3701 .7037 Metetra .645 .763 .934 r .3701 .7037 .3754 .70819 .38407 .70576 .37878 .70125 Metetra .645 .763 .934 r .37878 .70125 .38407 .70576 .39277 .70332 .3875 .6988 Metetra .645 .763 .934 r .3875 .6988 .39277 .70332 .4015 .70088 .39624 .69634 Metetra .645 .763 .934 r .39624 .69634 .4015 .70088 .41025 .69842 .40502 .69386 Metetra .645 .763 .934 r .40502 .69386 .41025 .69842 .41904 .69596 .41383 .69138 Metetra .645 .763 .934 r .41383 .69138 .41904 .69596 .42786 .69348 .42266 .6889 Metetra .645 .763 .934 r .42266 .6889 .42786 .69348 .43671 .691 .43153 .6864 Metetra .645 .763 .934 r .43153 .6864 .43671 .691 .44558 .68851 .44043 .68389 Metetra .645 .763 .934 r .44043 .68389 .44558 .68851 .45489 .66709 .44936 .68138 Metetra .864 .843 .378 r .44936 .68138 .45489 .66709 .46432 .63438 .45888 .65005 Metetra .814 .809 .322 r .45888 .65005 .46432 .63438 .47353 .60794 .46829 .61821 Metetra .897 .886 .459 r .46829 .61821 .47353 .60794 .48258 .5861 .47748 .59259 Metetra .944 .93 .576 r .47748 .59259 .48258 .5861 .49152 .56773 .48653 .57148 Metetra .959 .946 .665 r .48653 .57148 .49152 .56773 .50039 .55202 .49548 .55376 Metetra .953 .942 .729 r .49548 .55376 .50039 .55202 .5092 .53841 .50436 .53863 Metetra .935 .927 .774 r .50436 .53863 .5092 .53841 .51799 .52646 .51319 .52553 Metetra .912 .908 .804 r .51319 .52553 .51799 .52646 .52675 .51586 .522 .51403 Metetra .888 .888 .825 r .522 .51403 .52675 .51586 .5355 .50636 .53079 .50382 Metetra .864 .869 .84 r .53079 .50382 .5355 .50636 .54425 .49777 .53957 .49468 Metetra .843 .852 .851 r .53957 .49468 .54425 .49777 .553 .48994 .54835 .4864 Metetra .823 .836 .859 r .54835 .4864 .553 .48994 .56177 .48275 .55714 .47885 Metetra .805 .823 .865 r .55714 .47885 .56177 .48275 .57054 .4761 .56594 .4719 Metetra .79 .811 .869 r .56594 .4719 .57054 .4761 .57933 .46991 .57476 .46547 Metetra .776 .801 .873 r .57476 .46547 .57933 .46991 .58814 .46411 .58359 .45948 Metetra .763 .792 .876 r .58359 .45948 .58814 .46411 .59697 .45865 .59244 .45385 Metetra .753 .784 .879 r .59244 .45385 .59697 .45865 .60583 .45348 .60132 .44855 Metetra .743 .778 .881 r .60132 .44855 .60583 .45348 .6147 .44856 .61022 .44351 Metetra .735 .772 .883 r .61022 .44351 .6147 .44856 .62361 .44386 .61914 .43872 Metetra .727 .767 .885 r .61914 .43872 .62361 .44386 .63254 .43935 .62809 .43413 Metetra .721 .763 .886 r .62809 .43413 .63254 .43935 .64149 .43501 .63707 .42972 Metetra .715 .76 .888 r .63707 .42972 .64149 .43501 .65048 .43082 .64607 .42547 Metetra .709 .757 .889 r .64607 .42547 .65048 .43082 .65949 .42675 .65511 .42135 Metetra .705 .754 .89 r .65511 .42135 .65949 .42675 .66853 .4228 .66417 .41735 Metetra .7 .752 .891 r .66417 .41735 .66853 .4228 .67761 .41895 .67327 .41346 Metetra .697 .75 .892 r .67327 .41346 .67761 .41895 .68671 .41518 .68239 .40965 Metetra .693 .748 .893 r .68239 .40965 .68671 .41518 .69585 .41149 .69155 .40593 Metetra .69 .746 .894 r .69155 .40593 .69585 .41149 .70501 .40786 .70073 .40228 Metetra .688 .745 .895 r .70073 .40228 .70501 .40786 .71421 .4043 .70995 .39869 Metetra .685 .744 .896 r .70995 .39869 .71421 .4043 .72344 .40079 .7192 .39515 Metetra .683 .743 .897 r .7192 .39515 .72344 .40079 .7327 .39733 .72849 .39167 Metetra .681 .742 .897 r .72849 .39167 .7327 .39733 .74199 .3939 .7378 .38822 Metetra .679 .741 .898 r .7378 .38822 .74199 .3939 .75132 .39052 .74715 .38481 Metetra .677 .741 .898 r .74715 .38481 .75132 .39052 .76068 .38716 .75653 .38144 Metetra .676 .74 .899 r .75653 .38144 .76068 .38716 .77007 .38383 .76595 .37809 Metetra .674 .74 .899 r .76595 .37809 .77007 .38383 .77949 .38053 .7754 .37477 Metetra .673 .739 .9 r .7754 .37477 .77949 .38053 .78895 .37725 .78488 .37147 Metetra .672 .739 .9 r .78488 .37147 .78895 .37725 .79845 .37398 .7944 .36818 Metetra .671 .738 .901 r .7944 .36818 .79845 .37398 .80797 .37073 .80395 .36492 Metetra .67 .738 .901 r .80395 .36492 .80797 .37073 .81754 .3675 .81353 .36166 Metetra .669 .738 .902 r .81353 .36166 .81754 .3675 .82713 .36427 .82315 .35842 Metetra .668 .738 .902 r .82315 .35842 .82713 .36427 .83676 .36106 .83281 .35519 Metetra .668 .738 .902 r .83281 .35519 .83676 .36106 .84643 .35785 .8425 .35196 Metetra .667 .737 .903 r .8425 .35196 .84643 .35785 .85613 .35465 .85222 .34874 Metetra .667 .737 .903 r .85222 .34874 .85613 .35465 .86586 .35145 .86198 .34553 Metetra .666 .737 .903 r .86198 .34553 .86586 .35145 .87563 .34825 .87178 .34232 Metetra .665 .737 .903 r .87178 .34232 .87563 .34825 .88544 .34506 .88161 .33911 Metetra .637 .672 .867 r .3176 .51671 .3226 .52315 .33053 .52187 .32558 .5147 Metetra .624 .646 .851 r .32558 .5147 .33053 .52187 .33842 .52174 .33357 .51298 Metetra .567 .58 .826 r .33357 .51298 .33842 .52174 .34615 .52519 .34151 .51272 Metetra 0 .054 .611 r .34151 .51272 .34615 .52519 .35326 .54126 .34882 .52451 Metetra .98 .688 .378 r .34882 .52451 .35326 .54126 .3583 .60051 .35316 .59489 Metetra .948 .665 .469 r .35316 .59489 .3583 .60051 .36144 .70614 .35608 .70163 Metetra .645 .763 .934 r .35608 .70163 .36144 .70614 .3701 .7037 .36476 .69918 Metetra .645 .763 .934 r .36476 .69918 .3701 .7037 .37878 .70125 .37346 .69671 Metetra .645 .763 .934 r .37346 .69671 .37878 .70125 .3875 .6988 .38219 .69424 Metetra .645 .763 .934 r .38219 .69424 .3875 .6988 .39624 .69634 .39096 .69177 Metetra .645 .763 .934 r .39096 .69177 .39624 .69634 .40502 .69386 .39975 .68928 Metetra .645 .763 .934 r .39975 .68928 .40502 .69386 .41383 .69138 .40858 .68678 Metetra .645 .763 .934 r .40858 .68678 .41383 .69138 .42266 .6889 .41744 .68428 Metetra .645 .763 .934 r .41744 .68428 .42266 .6889 .43153 .6864 .42632 .68177 Metetra .645 .763 .934 r .42632 .68177 .43153 .6864 .44043 .68389 .43524 .67924 Metetra .645 .763 .934 r .43524 .67924 .44043 .68389 .44936 .68138 .44419 .67671 Metetra .846 .785 .793 r .44419 .67671 .44936 .68138 .45888 .65005 .45334 .66603 Metetra .9 .839 .38 r .45334 .66603 .45888 .65005 .46829 .61821 .46297 .62862 Metetra .945 .887 .485 r .46297 .62862 .46829 .61821 .47748 .59259 .47232 .59912 Metetra .969 .916 .578 r .47232 .59912 .47748 .59259 .48653 .57148 .48149 .57524 Metetra .973 .928 .654 r .48149 .57524 .48653 .57148 .49548 .55376 .49052 .55547 Metetra .963 .925 .713 r .49052 .55547 .49548 .55376 .50436 .53863 .49947 .53881 Metetra .944 .914 .757 r .49947 .53881 .50436 .53863 .51319 .52553 .50836 .52454 Metetra .92 .899 .789 r .50836 .52454 .51319 .52553 .522 .51403 .51721 .51213 Metetra .896 .881 .812 r .51721 .51213 .522 .51403 .53079 .50382 .52604 .50122 Metetra .872 .864 .829 r .52604 .50122 .53079 .50382 .53957 .49468 .53485 .49152 Metetra .849 .849 .842 r .53485 .49152 .53957 .49468 .54835 .4864 .54366 .4828 Metetra .829 .834 .851 r .54366 .4828 .54835 .4864 .55714 .47885 .55248 .47489 Metetra .811 .821 .859 r .55248 .47489 .55714 .47885 .56594 .4719 .56131 .46765 Metetra .794 .81 .865 r .56131 .46765 .56594 .4719 .57476 .46547 .57015 .46098 Metetra .78 .8 .869 r .57015 .46098 .57476 .46547 .58359 .45948 .579 .45479 Metetra .767 .792 .873 r .579 .45479 .58359 .45948 .59244 .45385 .58788 .44901 Metetra .756 .784 .876 r .58788 .44901 .59244 .45385 .60132 .44855 .59678 .44357 Metetra .746 .778 .879 r .59678 .44357 .60132 .44855 .61022 .44351 .6057 .43843 Metetra .737 .772 .881 r .6057 .43843 .61022 .44351 .61914 .43872 .61464 .43354 Metetra .729 .768 .884 r .61464 .43354 .61914 .43872 .62809 .43413 .62361 .42887 Metetra .722 .763 .885 r .62361 .42887 .62809 .43413 .63707 .42972 .63261 .42439 Metetra .716 .76 .887 r .63261 .42439 .63707 .42972 .64607 .42547 .64164 .42008 Metetra .71 .757 .889 r .64164 .42008 .64607 .42547 .65511 .42135 .6507 .41591 Metetra .706 .754 .89 r .6507 .41591 .65511 .42135 .66417 .41735 .65978 .41187 Metetra .701 .752 .891 r .65978 .41187 .66417 .41735 .67327 .41346 .6689 .40793 Metetra .697 .75 .892 r .6689 .40793 .67327 .41346 .68239 .40965 .67804 .40409 Metetra .694 .748 .893 r .67804 .40409 .68239 .40965 .69155 .40593 .68722 .40034 Metetra .691 .747 .894 r .68722 .40034 .69155 .40593 .70073 .40228 .69643 .39666 Metetra .688 .745 .895 r .69643 .39666 .70073 .40228 .70995 .39869 .70567 .39304 Metetra .685 .744 .896 r .70567 .39304 .70995 .39869 .7192 .39515 .71494 .38948 Metetra .683 .743 .897 r .71494 .38948 .7192 .39515 .72849 .39167 .72425 .38597 Metetra .681 .742 .897 r .72425 .38597 .72849 .39167 .7378 .38822 .73359 .38251 Metetra .679 .741 .898 r .73359 .38251 .7378 .38822 .74715 .38481 .74296 .37908 Metetra .677 .741 .899 r .74296 .37908 .74715 .38481 .75653 .38144 .75236 .37568 Metetra .676 .74 .899 r .75236 .37568 .75653 .38144 .76595 .37809 .7618 .37232 Metetra .674 .74 .9 r .7618 .37232 .76595 .37809 .7754 .37477 .77127 .36898 Metetra .673 .739 .9 r .77127 .36898 .7754 .37477 .78488 .37147 .78078 .36566 Metetra .672 .739 .901 r .78078 .36566 .78488 .37147 .7944 .36818 .79032 .36236 Metetra .671 .739 .901 r .79032 .36236 .7944 .36818 .80395 .36492 .79989 .35907 Metetra .67 .738 .901 r .79989 .35907 .80395 .36492 .81353 .36166 .8095 .3558 Metetra .669 .738 .902 r .8095 .3558 .81353 .36166 .82315 .35842 .81915 .35254 Metetra .668 .738 .902 r .81915 .35254 .82315 .35842 .83281 .35519 .82882 .34929 Metetra .668 .738 .902 r .82882 .34929 .83281 .35519 .8425 .35196 .83854 .34605 Metetra .667 .738 .903 r .83854 .34605 .8425 .35196 .85222 .34874 .84829 .34281 Metetra .666 .737 .903 r .84829 .34281 .85222 .34874 .86198 .34553 .85807 .33958 Metetra .666 .737 .903 r .85807 .33958 .86198 .34553 .87178 .34232 .86789 .33635 Metetra .665 .737 .904 r .86789 .33635 .87178 .34232 .88161 .33911 .87775 .33312 Metetra .654 .692 .873 r .31255 .51068 .3176 .51671 .32558 .5147 .32057 .50825 Metetra .657 .68 .86 r .32057 .50825 .32558 .5147 .33357 .51298 .32862 .5057 Metetra .698 .671 .82 r .32862 .5057 .33357 .51298 .34151 .51272 .33678 .50168 Metetra .086 .244 .731 r .33678 .50168 .34151 .51272 .34882 .52451 .34429 .50964 Metetra .974 .686 .415 r .34429 .50964 .34882 .52451 .35316 .59489 .3479 .59099 Metetra .944 .661 .473 r .3479 .59099 .35316 .59489 .35608 .70163 .35069 .69709 Metetra .645 .763 .934 r .35069 .69709 .35608 .70163 .36476 .69918 .35938 .69463 Metetra .645 .763 .934 r .35938 .69463 .36476 .69918 .37346 .69671 .3681 .69215 Metetra .645 .763 .934 r .3681 .69215 .37346 .69671 .38219 .69424 .37686 .68966 Metetra .645 .763 .934 r .37686 .68966 .38219 .69424 .39096 .69177 .38564 .68717 Metetra .645 .763 .934 r .38564 .68717 .39096 .69177 .39975 .68928 .39445 .68466 Metetra .645 .763 .934 r .39445 .68466 .39975 .68928 .40858 .68678 .4033 .68215 Metetra .645 .763 .934 r .4033 .68215 .40858 .68678 .41744 .68428 .41217 .67963 Metetra .645 .763 .934 r .41217 .67963 .41744 .68428 .42632 .68177 .42108 .6771 Metetra .645 .763 .934 r .42108 .6771 .42632 .68177 .43524 .67924 .43002 .67456 Metetra .645 .763 .934 r .43002 .67456 .43524 .67924 .44419 .67671 .43899 .67202 Metetra .645 .763 .934 r .43899 .67202 .44419 .67671 .45334 .66603 .44798 .66946 Metetra .987 .847 .615 r .44798 .66946 .45334 .66603 .46297 .62862 .45758 .63857 Metetra .977 .881 .512 r .45758 .63857 .46297 .62862 .47232 .59912 .4671 .60533 Metetra .985 .9 .584 r .4671 .60533 .47232 .59912 .48149 .57524 .47639 .57875 Metetra .981 .908 .648 r .47639 .57875 .48149 .57524 .49052 .55547 .48551 .55699 Metetra .968 .907 .701 r .48551 .55699 .49052 .55547 .49947 .53881 .49453 .53883 Metetra .949 .899 .743 r .49453 .53883 .49947 .53881 .50836 .52454 .50348 .52342 Metetra .926 .887 .775 r .50348 .52342 .50836 .52454 .51721 .51213 .51238 .51013 Metetra .901 .873 .8 r .51238 .51013 .51721 .51213 .52604 .50122 .52125 .49852 Metetra .877 .859 .819 r .52125 .49852 .52604 .50122 .53485 .49152 .5301 .48827 Metetra .855 .844 .833 r .5301 .48827 .53485 .49152 .54366 .4828 .53894 .47911 Metetra .834 .831 .844 r .53894 .47911 .54366 .4828 .55248 .47489 .54779 .47085 Metetra .815 .819 .853 r .54779 .47085 .55248 .47489 .56131 .46765 .55664 .46333 Metetra .799 .809 .86 r .55664 .46333 .56131 .46765 .57015 .46098 .56551 .45643 Metetra .784 .799 .865 r .56551 .45643 .57015 .46098 .579 .45479 .57439 .45005 Metetra .77 .791 .87 r .57439 .45005 .579 .45479 .58788 .44901 .58329 .44411 Metetra .759 .784 .874 r .58329 .44411 .58788 .44901 .59678 .44357 .59221 .43854 Metetra .748 .778 .877 r .59221 .43854 .59678 .44357 .6057 .43843 .60115 .43329 Metetra .739 .772 .88 r .60115 .43329 .6057 .43843 .61464 .43354 .61012 .42831 Metetra .731 .768 .882 r .61012 .42831 .61464 .43354 .62361 .42887 .61911 .42357 Metetra .724 .764 .884 r .61911 .42357 .62361 .42887 .63261 .42439 .62813 .41902 Metetra .717 .76 .886 r .62813 .41902 .63261 .42439 .64164 .42008 .63718 .41465 Metetra .711 .757 .888 r .63718 .41465 .64164 .42008 .6507 .41591 .64626 .41043 Metetra .706 .754 .89 r .64626 .41043 .6507 .41591 .65978 .41187 .65536 .40635 Metetra .702 .752 .891 r .65536 .40635 .65978 .41187 .6689 .40793 .6645 .40238 Metetra .698 .75 .892 r .6645 .40238 .6689 .40793 .67804 .40409 .67367 .3985 Metetra .694 .748 .893 r .67367 .3985 .67804 .40409 .68722 .40034 .68287 .39472 Metetra .691 .747 .894 r .68287 .39472 .68722 .40034 .69643 .39666 .6921 .39101 Metetra .688 .746 .895 r .6921 .39101 .69643 .39666 .70567 .39304 .70136 .38737 Metetra .685 .744 .896 r .70136 .38737 .70567 .39304 .71494 .38948 .71066 .38379 Metetra .683 .743 .897 r .71066 .38379 .71494 .38948 .72425 .38597 .71998 .38025 Metetra .681 .743 .898 r .71998 .38025 .72425 .38597 .73359 .38251 .72935 .37677 Metetra .679 .742 .898 r .72935 .37677 .73359 .38251 .74296 .37908 .73874 .37332 Metetra .677 .741 .899 r .73874 .37332 .74296 .37908 .75236 .37568 .74817 .3699 Metetra .676 .741 .899 r .74817 .3699 .75236 .37568 .7618 .37232 .75763 .36652 Metetra .674 .74 .9 r .75763 .36652 .7618 .37232 .77127 .36898 .76712 .36316 Metetra .673 .74 .9 r .76712 .36316 .77127 .36898 .78078 .36566 .77665 .35982 Metetra .672 .739 .901 r .77665 .35982 .78078 .36566 .79032 .36236 .78622 .3565 Metetra .671 .739 .901 r .78622 .3565 .79032 .36236 .79989 .35907 .79581 .3532 Metetra .67 .739 .902 r .79581 .3532 .79989 .35907 .8095 .3558 .80545 .34991 Metetra .669 .738 .902 r .80545 .34991 .8095 .3558 .81915 .35254 .81512 .34663 Metetra .668 .738 .902 r .81512 .34663 .81915 .35254 .82882 .34929 .82482 .34337 Metetra .668 .738 .903 r .82482 .34337 .82882 .34929 .83854 .34605 .83456 .34011 Metetra .667 .738 .903 r .83456 .34011 .83854 .34605 .84829 .34281 .84433 .33685 Metetra .666 .738 .903 r .84433 .33685 .84829 .34281 .85807 .33958 .85414 .3336 Metetra .666 .738 .904 r .85414 .3336 .85807 .33958 .86789 .33635 .86399 .33035 Metetra .665 .738 .904 r .86399 .33035 .86789 .33635 .87775 .33312 .87387 .32711 Metetra .661 .707 .882 r .30745 .505 .31255 .51068 .32057 .50825 .31549 .50241 Metetra .655 .7 .88 r .31549 .50241 .32057 .50825 .32862 .5057 .32355 .49996 Metetra .611 .69 .899 r .32355 .49996 .32862 .5057 .33678 .50168 .33157 .49845 Metetra .754 .24 0 r .33157 .49845 .33678 .50168 .34429 .50964 .33901 .50758 Metetra .938 .655 .477 r .33901 .50758 .34429 .50964 .3479 .59099 .34162 .60465 Metetra .891 .608 .501 r .34162 .60465 .3479 .59099 .35069 .69709 .34526 .69253 Metetra .645 .763 .934 r .34526 .69253 .35069 .69709 .35938 .69463 .35397 .69005 Metetra .645 .763 .934 r .35397 .69005 .35938 .69463 .3681 .69215 .36271 .68755 Metetra .645 .763 .934 r .36271 .68755 .3681 .69215 .37686 .68966 .37149 .68505 Metetra .645 .763 .934 r .37149 .68505 .37686 .68966 .38564 .68717 .38029 .68254 Metetra .645 .763 .934 r .38029 .68254 .38564 .68717 .39445 .68466 .38912 .68002 Metetra .645 .763 .934 r .38912 .68002 .39445 .68466 .4033 .68215 .39798 .67749 Metetra .645 .763 .934 r .39798 .67749 .4033 .68215 .41217 .67963 .40688 .67496 Metetra .645 .763 .934 r .40688 .67496 .41217 .67963 .42108 .6771 .4158 .67241 Metetra .645 .763 .934 r .4158 .67241 .42108 .6771 .43002 .67456 .42476 .66986 Metetra .645 .763 .934 r .42476 .66986 .43002 .67456 .43899 .67202 .43375 .66729 Metetra .645 .763 .934 r .43375 .66729 .43899 .67202 .44798 .66946 .44277 .66472 Metetra .892 .772 .722 r .44277 .66472 .44798 .66946 .45758 .63857 .45214 .64746 Metetra .994 .866 .536 r .45214 .64746 .45758 .63857 .4671 .60533 .46182 .61084 Metetra .993 .88 .592 r .46182 .61084 .4671 .60533 .47639 .57875 .47123 .58178 Metetra .984 .887 .644 r .47123 .58178 .47639 .57875 .48551 .55699 .48046 .55817 Metetra .97 .888 .691 r .48046 .55817 .48551 .55699 .49453 .53883 .48955 .53859 Metetra .951 .883 .731 r .48955 .53859 .49453 .53883 .50348 .52342 .49856 .52209 Metetra .929 .875 .763 r .49856 .52209 .50348 .52342 .51238 .51013 .50751 .50795 Metetra .905 .864 .788 r .50751 .50795 .51238 .51013 .52125 .49852 .51642 .49569 Metetra .882 .852 .809 r .51642 .49569 .52125 .49852 .5301 .48827 .52531 .48491 Metetra .859 .839 .825 r .52531 .48491 .5301 .48827 .53894 .47911 .53419 .47533 Metetra .839 .828 .837 r .53419 .47533 .53894 .47911 .54779 .47085 .54307 .46673 Metetra .82 .817 .847 r .54307 .46673 .54779 .47085 .55664 .46333 .55195 .45894 Metetra .802 .807 .855 r .55195 .45894 .55664 .46333 .56551 .45643 .56084 .45181 Metetra .787 .798 .862 r .56084 .45181 .56551 .45643 .57439 .45005 .56974 .44525 Metetra .773 .79 .867 r .56974 .44525 .57439 .45005 .58329 .44411 .57867 .43916 Metetra .761 .784 .871 r .57867 .43916 .58329 .44411 .59221 .43854 .58761 .43347 Metetra .75 .778 .875 r .58761 .43347 .59221 .43854 .60115 .43329 .59657 .42811 Metetra .741 .772 .878 r .59657 .42811 .60115 .43329 .61012 .42831 .60556 .42304 Metetra .732 .768 .881 r .60556 .42304 .61012 .42831 .61911 .42357 .61458 .41822 Metetra .725 .764 .884 r .61458 .41822 .61911 .42357 .62813 .41902 .62362 .41362 Metetra .718 .76 .886 r .62362 .41362 .62813 .41902 .63718 .41465 .63269 .40919 Metetra .712 .757 .888 r .63269 .40919 .63718 .41465 .64626 .41043 .64179 .40493 Metetra .707 .755 .889 r .64179 .40493 .64626 .41043 .65536 .40635 .65092 .4008 Metetra .702 .752 .891 r .65092 .4008 .65536 .40635 .6645 .40238 .66008 .39679 Metetra .698 .75 .892 r .66008 .39679 .6645 .40238 .67367 .3985 .66927 .39288 Metetra .695 .749 .893 r .66927 .39288 .67367 .3985 .68287 .39472 .67849 .38907 Metetra .691 .747 .894 r .67849 .38907 .68287 .39472 .6921 .39101 .68774 .38533 Metetra .688 .746 .895 r .68774 .38533 .6921 .39101 .70136 .38737 .69703 .38167 Metetra .686 .745 .896 r .69703 .38167 .70136 .38737 .71066 .38379 .70634 .37806 Metetra .683 .744 .897 r .70634 .37806 .71066 .38379 .71998 .38025 .71569 .3745 Metetra .681 .743 .898 r .71569 .3745 .71998 .38025 .72935 .37677 .72508 .37099 Metetra .679 .742 .898 r .72508 .37099 .72935 .37677 .73874 .37332 .7345 .36753 Metetra .677 .741 .899 r .7345 .36753 .73874 .37332 .74817 .3699 .74395 .36409 Metetra .676 .741 .9 r .74395 .36409 .74817 .3699 .75763 .36652 .75343 .36069 Metetra .674 .74 .9 r .75343 .36069 .75763 .36652 .76712 .36316 .76295 .35731 Metetra .673 .74 .901 r .76295 .35731 .76712 .36316 .77665 .35982 .7725 .35395 Metetra .672 .74 .901 r .7725 .35395 .77665 .35982 .78622 .3565 .78209 .35062 Metetra .671 .739 .902 r .78209 .35062 .78622 .3565 .79581 .3532 .79171 .3473 Metetra .67 .739 .902 r .79171 .3473 .79581 .3532 .80545 .34991 .80137 .34399 Metetra .669 .739 .902 r .80137 .34399 .80545 .34991 .81512 .34663 .81106 .3407 Metetra .668 .738 .903 r .81106 .3407 .81512 .34663 .82482 .34337 .82079 .33741 Metetra .667 .738 .903 r .82079 .33741 .82482 .34337 .83456 .34011 .83055 .33413 Metetra .667 .738 .903 r .83055 .33413 .83456 .34011 .84433 .33685 .84035 .33086 Metetra .666 .738 .904 r .84035 .33086 .84433 .33685 .85414 .3336 .85019 .32759 Metetra .666 .738 .904 r .85019 .32759 .85414 .3336 .86399 .33035 .86006 .32433 Metetra .665 .738 .904 r .86006 .32433 .86399 .33035 .87387 .32711 .86997 .32106 Metetra .666 .719 .888 r .3023 .49958 .30745 .505 .31549 .50241 .31036 .49687 Metetra .666 .715 .885 r .31036 .49687 .31549 .50241 .32355 .49996 .31845 .49416 Metetra .574 .676 .908 r .31845 .49416 .32355 .49996 .33157 .49845 .32644 .4933 Metetra .84 .384 0 r .32644 .4933 .33157 .49845 .33901 .50758 .33362 .50665 Metetra .936 .66 .491 r .33362 .50665 .33901 .50758 .34162 .60465 .33419 .63676 Metetra .793 .513 .513 r .33419 .63676 .34162 .60465 .34526 .69253 .3398 .68794 Metetra .645 .763 .934 r .3398 .68794 .34526 .69253 .35397 .69005 .34853 .68544 Metetra .645 .763 .934 r .34853 .68544 .35397 .69005 .36271 .68755 .35729 .68293 Metetra .645 .763 .934 r .35729 .68293 .36271 .68755 .37149 .68505 .36608 .68041 Metetra .645 .763 .934 r .36608 .68041 .37149 .68505 .38029 .68254 .3749 .67788 Metetra .645 .763 .934 r .3749 .67788 .38029 .68254 .38912 .68002 .38375 .67535 Metetra .645 .763 .934 r .38375 .67535 .38912 .68002 .39798 .67749 .39263 .6728 Metetra .645 .763 .934 r .39263 .6728 .39798 .67749 .40688 .67496 .40155 .67025 Metetra .645 .763 .934 r .40155 .67025 .40688 .67496 .4158 .67241 .41049 .66769 Metetra .645 .763 .934 r .41049 .66769 .4158 .67241 .42476 .66986 .41947 .66512 Metetra .645 .763 .934 r .41947 .66512 .42476 .66986 .43375 .66729 .42848 .66254 Metetra .645 .763 .934 r .42848 .66254 .43375 .66729 .44277 .66472 .43752 .65995 Metetra .743 .784 .886 r .43752 .65995 .44277 .66472 .45214 .64746 .44665 .65481 Metetra .998 .846 .556 r .44665 .65481 .45214 .64746 .46182 .61084 .4565 .61534 Metetra .993 .859 .599 r .4565 .61534 .46182 .61084 .47123 .58178 .46604 .58412 Metetra .983 .866 .643 r .46604 .58412 .47123 .58178 .48046 .55817 .47536 .55885 Metetra .969 .869 .684 r .47536 .55885 .48046 .55817 .48955 .53859 .48453 .53799 Metetra .951 .867 .721 r .48453 .53799 .48955 .53859 .49856 .52209 .4936 .52049 Metetra .93 .862 .752 r .4936 .52049 .49856 .52209 .50751 .50795 .5026 .50557 Metetra .907 .854 .778 r .5026 .50557 .50751 .50795 .51642 .49569 .51156 .49268 Metetra .885 .844 .799 r .51156 .49268 .51642 .49569 .52531 .48491 .52049 .4814 Metetra .863 .834 .817 r .52049 .4814 .52531 .48491 .53419 .47533 .5294 .47142 Metetra .842 .824 .83 r .5294 .47142 .53419 .47533 .54307 .46673 .53831 .46251 Metetra .823 .814 .841 r .53831 .46251 .54307 .46673 .55195 .45894 .54722 .45445 Metetra .806 .805 .851 r .54722 .45445 .55195 .45894 .56084 .45181 .55614 .44712 Metetra .79 .797 .858 r .55614 .44712 .56084 .45181 .56974 .44525 .56507 .44038 Metetra .776 .79 .864 r .56507 .44038 .56974 .44525 .57867 .43916 .57401 .43415 Metetra .763 .783 .869 r .57401 .43415 .57867 .43916 .58761 .43347 .58298 .42834 Metetra .752 .777 .873 r .58298 .42834 .58761 .43347 .59657 .42811 .59197 .42288 Metetra .743 .772 .877 r .59197 .42288 .59657 .42811 .60556 .42304 .60098 .41773 Metetra .734 .768 .88 r .60098 .41773 .60556 .42304 .61458 .41822 .61002 .41284 Metetra .726 .764 .883 r .61002 .41284 .61458 .41822 .62362 .41362 .61908 .40817 Metetra .719 .76 .885 r .61908 .40817 .62362 .41362 .63269 .40919 .62817 .40369 Metetra .713 .757 .887 r .62817 .40369 .63269 .40919 .64179 .40493 .6373 .39938 Metetra .708 .755 .889 r .6373 .39938 .64179 .40493 .65092 .4008 .64645 .39521 Metetra .703 .753 .89 r .64645 .39521 .65092 .4008 .66008 .39679 .65563 .39117 Metetra .699 .751 .892 r .65563 .39117 .66008 .39679 .66927 .39288 .66484 .38723 Metetra .695 .749 .893 r .66484 .38723 .66927 .39288 .67849 .38907 .67408 .38339 Metetra .691 .747 .894 r .67408 .38339 .67849 .38907 .68774 .38533 .68336 .37963 Metetra .688 .746 .895 r .68336 .37963 .68774 .38533 .69703 .38167 .69267 .37593 Metetra .686 .745 .896 r .69267 .37593 .69703 .38167 .70634 .37806 .70201 .3723 Metetra .683 .744 .897 r .70201 .3723 .70634 .37806 .71569 .3745 .71138 .36873 Metetra .681 .743 .898 r .71138 .36873 .71569 .3745 .72508 .37099 .72078 .3652 Metetra .679 .742 .899 r .72078 .3652 .72508 .37099 .7345 .36753 .73022 .36171 Metetra .677 .742 .899 r .73022 .36171 .7345 .36753 .74395 .36409 .7397 .35825 Metetra .676 .741 .9 r .7397 .35825 .74395 .36409 .75343 .36069 .74921 .35483 Metetra .674 .741 .9 r .74921 .35483 .75343 .36069 .76295 .35731 .75875 .35143 Metetra .673 .74 .901 r .75875 .35143 .76295 .35731 .7725 .35395 .76832 .34806 Metetra .672 .74 .901 r .76832 .34806 .7725 .35395 .78209 .35062 .77794 .3447 Metetra .671 .74 .902 r .77794 .3447 .78209 .35062 .79171 .3473 .78758 .34136 Metetra .67 .739 .902 r .78758 .34136 .79171 .3473 .80137 .34399 .79726 .33804 Metetra .669 .739 .903 r .79726 .33804 .80137 .34399 .81106 .3407 .80698 .33473 Metetra .668 .739 .903 r .80698 .33473 .81106 .3407 .82079 .33741 .81673 .33142 Metetra .667 .739 .903 r .81673 .33142 .82079 .33741 .83055 .33413 .82652 .32813 Metetra .667 .738 .904 r .82652 .32813 .83055 .33413 .84035 .33086 .83635 .32484 Metetra .666 .738 .904 r .83635 .32484 .84035 .33086 .85019 .32759 .84621 .32155 Metetra .666 .738 .904 r .84621 .32155 .85019 .32759 .86006 .32433 .8561 .31827 Metetra .665 .738 .904 r .8561 .31827 .86006 .32433 .86997 .32106 .86604 .31499 Metetra .666 .727 .895 r .2971 .49434 .3023 .49958 .31036 .49687 .30518 .49163 Metetra .672 .729 .893 r .30518 .49163 .31036 .49687 .31845 .49416 .31329 .48877 Metetra .577 .694 .921 r .31329 .48877 .31845 .49416 .32644 .4933 .3213 .48776 Metetra .889 .464 .089 r .3213 .48776 .32644 .4933 .33362 .50665 .32828 .50419 Metetra .94 .668 .496 r .32828 .50419 .33362 .50665 .33419 .63676 .32641 .67185 Metetra .635 .357 .481 r .32641 .67185 .33419 .63676 .3398 .68794 .3343 .68331 Metetra .645 .763 .934 r .3343 .68331 .3398 .68794 .34853 .68544 .34305 .6808 Metetra .645 .763 .934 r .34305 .6808 .34853 .68544 .35729 .68293 .35183 .67827 Metetra .645 .763 .934 r .35183 .67827 .35729 .68293 .36608 .68041 .36064 .67574 Metetra .645 .763 .934 r .36064 .67574 .36608 .68041 .3749 .67788 .36948 .67319 Metetra .645 .763 .934 r .36948 .67319 .3749 .67788 .38375 .67535 .37835 .67064 Metetra .645 .763 .934 r .37835 .67064 .38375 .67535 .39263 .6728 .38725 .66808 Metetra .645 .763 .934 r .38725 .66808 .39263 .6728 .40155 .67025 .39618 .66551 Metetra .645 .763 .934 r .39618 .66551 .40155 .67025 .41049 .66769 .40515 .66293 Metetra .645 .763 .934 r .40515 .66293 .41049 .66769 .41947 .66512 .41415 .66034 Metetra .645 .763 .934 r .41415 .66034 .41947 .66512 .42848 .66254 .42317 .65775 Metetra .645 .763 .934 r .42317 .65775 .42848 .66254 .43752 .65995 .43223 .65514 Metetra .645 .763 .934 r .43223 .65514 .43752 .65995 .44665 .65481 .44133 .65253 Metetra .949 .773 .629 r .44133 .65253 .44665 .65481 .4565 .61534 .45114 .61862 Metetra .988 .838 .605 r .45114 .61862 .4565 .61534 .46604 .58412 .4608 .58562 Metetra .978 .847 .642 r .4608 .58562 .46604 .58412 .47536 .55885 .47022 .55893 Metetra .965 .851 .679 r .47022 .55893 .47536 .55885 .48453 .53799 .47947 .53696 Metetra .948 .852 .713 r .47947 .53696 .48453 .53799 .4936 .52049 .4886 .51856 Metetra .929 .849 .743 r .4886 .51856 .4936 .52049 .5026 .50557 .49766 .50293 Metetra .908 .844 .769 r .49766 .50293 .5026 .50557 .51156 .49268 .50666 .48947 Metetra .886 .836 .791 r .50666 .48947 .51156 .49268 .52049 .4814 .51563 .47773 Metetra .865 .828 .809 r .51563 .47773 .52049 .4814 .5294 .47142 .52458 .46739 Metetra .845 .819 .824 r .52458 .46739 .5294 .47142 .53831 .46251 .53352 .45817 Metetra .826 .811 .836 r .53352 .45817 .53831 .46251 .54722 .45445 .54246 .44988 Metetra .808 .803 .846 r .54246 .44988 .54722 .45445 .55614 .44712 .5514 .44235 Metetra .792 .795 .854 r .5514 .44235 .55614 .44712 .56507 .44038 .56036 .43545 Metetra .778 .788 .861 r .56036 .43545 .56507 .44038 .57401 .43415 .56933 .42908 Metetra .766 .782 .867 r .56933 .42908 .57401 .43415 .58298 .42834 .57832 .42315 Metetra .754 .777 .872 r .57832 .42315 .58298 .42834 .59197 .42288 .58733 .4176 Metetra .744 .772 .876 r .58733 .4176 .59197 .42288 .60098 .41773 .59637 .41237 Metetra .735 .768 .879 r .59637 .41237 .60098 .41773 .61002 .41284 .60543 .40742 Metetra .727 .764 .882 r .60543 .40742 .61002 .41284 .61908 .40817 .61451 .40269 Metetra .72 .761 .884 r .61451 .40269 .61908 .40817 .62817 .40369 .62363 .39816 Metetra .714 .758 .887 r .62363 .39816 .62817 .40369 .6373 .39938 .63277 .39381 Metetra .708 .755 .889 r .63277 .39381 .6373 .39938 .64645 .39521 .64194 .3896 Metetra .703 .753 .89 r .64194 .3896 .64645 .39521 .65563 .39117 .65115 .38552 Metetra .699 .751 .892 r .65115 .38552 .65563 .39117 .66484 .38723 .66038 .38155 Metetra .695 .749 .893 r .66038 .38155 .66484 .38723 .67408 .38339 .66965 .37768 Metetra .692 .748 .894 r .66965 .37768 .67408 .38339 .68336 .37963 .67895 .37389 Metetra .689 .747 .896 r .67895 .37389 .68336 .37963 .69267 .37593 .68828 .37017 Metetra .686 .745 .897 r .68828 .37017 .69267 .37593 .70201 .3723 .69764 .36652 Metetra .683 .744 .897 r .69764 .36652 .70201 .3723 .71138 .36873 .70703 .36292 Metetra .681 .744 .898 r .70703 .36292 .71138 .36873 .72078 .3652 .71646 .35937 Metetra .679 .743 .899 r .71646 .35937 .72078 .3652 .73022 .36171 .72593 .35586 Metetra .677 .742 .9 r .72593 .35586 .73022 .36171 .7397 .35825 .73542 .35239 Metetra .676 .742 .9 r .73542 .35239 .7397 .35825 .74921 .35483 .74496 .34894 Metetra .674 .741 .901 r .74496 .34894 .74921 .35483 .75875 .35143 .75452 .34553 Metetra .673 .741 .901 r .75452 .34553 .75875 .35143 .76832 .34806 .76412 .34213 Metetra .672 .74 .902 r .76412 .34213 .76832 .34806 .77794 .3447 .77376 .33876 Metetra .671 .74 .902 r .77376 .33876 .77794 .3447 .78758 .34136 .78343 .3354 Metetra .67 .74 .903 r .78343 .3354 .78758 .34136 .79726 .33804 .79313 .33206 Metetra .669 .739 .903 r .79313 .33206 .79726 .33804 .80698 .33473 .80287 .32873 Metetra .668 .739 .903 r .80287 .32873 .80698 .33473 .81673 .33142 .81265 .32541 Metetra .667 .739 .904 r .81265 .32541 .81673 .33142 .82652 .32813 .82247 .32209 Metetra .667 .739 .904 r .82247 .32209 .82652 .32813 .83635 .32484 .83231 .31879 Metetra .666 .739 .904 r .83231 .31879 .83635 .32484 .84621 .32155 .8422 .31548 Metetra .665 .738 .904 r .8422 .31548 .84621 .32155 .8561 .31827 .85212 .31218 Metetra .665 .738 .905 r .85212 .31218 .8561 .31827 .86604 .31499 .86208 .30888 Metetra .664 .732 .9 r .29187 .48921 .2971 .49434 .30518 .49163 .29995 .48654 Metetra .651 .73 .907 r .29995 .48654 .30518 .49163 .31329 .48877 .30805 .48415 Metetra .498 .7 .96 r .30805 .48415 .31329 .48877 .3213 .48776 .31602 .48396 Metetra .912 .517 .235 r .31602 .48396 .3213 .48776 .32828 .50419 .32279 .50338 Metetra .937 .666 .499 r .32279 .50338 .32828 .50419 .32641 .67185 .32003 .68118 Metetra .357 0 .137 r .32003 .68118 .32641 .67185 .3343 .68331 .32877 .67866 Metetra .645 .763 .934 r .32877 .67866 .3343 .68331 .34305 .6808 .33754 .67613 Metetra .645 .763 .934 r .33754 .67613 .34305 .6808 .35183 .67827 .34633 .67359 Metetra .645 .763 .934 r .34633 .67359 .35183 .67827 .36064 .67574 .35516 .67104 Metetra .645 .763 .934 r .35516 .67104 .36064 .67574 .36948 .67319 .36402 .66848 Metetra .645 .763 .934 r .36402 .66848 .36948 .67319 .37835 .67064 .37291 .66591 Metetra .645 .763 .934 r .37291 .66591 .37835 .67064 .38725 .66808 .38183 .66333 Metetra .645 .763 .934 r .38183 .66333 .38725 .66808 .39618 .66551 .39079 .66074 Metetra .645 .763 .934 r .39079 .66074 .39618 .66551 .40515 .66293 .39977 .65815 Metetra .645 .763 .934 r .39977 .65815 .40515 .66293 .41415 .66034 .40879 .65554 Metetra .645 .763 .934 r .40879 .65554 .41415 .66034 .42317 .65775 .41783 .65293 Metetra .645 .763 .934 r .41783 .65293 .42317 .65775 .43223 .65514 .42691 .65031 Metetra .645 .763 .934 r .42691 .65031 .43223 .65514 .44133 .65253 .43603 .64767 Metetra .921 .755 .66 r .43603 .64767 .44133 .65253 .45114 .61862 .44575 .62055 Metetra .98 .818 .61 r .44575 .62055 .45114 .61862 .4608 .58562 .45553 .58619 Metetra .972 .828 .642 r .45553 .58619 .4608 .58562 .47022 .55893 .46504 .55835 Metetra .96 .835 .675 r .46504 .55835 .47022 .55893 .47947 .53696 .47437 .53543 Metetra .945 .837 .707 r .47437 .53543 .47947 .53696 .4886 .51856 .48357 .51626 Metetra .927 .837 .736 r .48357 .51626 .4886 .51856 .49766 .50293 .49268 .5 Metetra .907 .834 .762 r .49268 .5 .49766 .50293 .50666 .48947 .50173 .48603 Metetra .887 .828 .784 r .50173 .48603 .50666 .48947 .51563 .47773 .51074 .47389 Metetra .866 .822 .803 r .51074 .47389 .51563 .47773 .52458 .46739 .51972 .46321 Metetra .846 .815 .818 r .51972 .46321 .52458 .46739 .53352 .45817 .52869 .45372 Metetra .828 .807 .831 r .52869 .45372 .53352 .45817 .54246 .44988 .53766 .4452 Metetra .81 .8 .842 r .53766 .4452 .54246 .44988 .5514 .44235 .54663 .43749 Metetra .795 .793 .851 r .54663 .43749 .5514 .44235 .56036 .43545 .55562 .43044 Metetra .78 .787 .858 r .55562 .43044 .56036 .43545 .56933 .42908 .56461 .42394 Metetra .767 .781 .865 r .56461 .42394 .56933 .42908 .57832 .42315 .57363 .41791 Metetra .756 .776 .87 r .57363 .41791 .57832 .42315 .58733 .4176 .58266 .41228 Metetra .745 .772 .874 r .58266 .41228 .58733 .4176 .59637 .41237 .59172 .40697 Metetra .736 .768 .878 r .59172 .40697 .59637 .41237 .60543 .40742 .60081 .40195 Metetra .728 .764 .881 r .60081 .40195 .60543 .40742 .61451 .40269 .60992 .39717 Metetra .721 .761 .884 r .60992 .39717 .61451 .40269 .62363 .39816 .61905 .3926 Metetra .715 .758 .886 r .61905 .3926 .62363 .39816 .63277 .39381 .62822 .3882 Metetra .709 .755 .888 r .62822 .3882 .63277 .39381 .64194 .3896 .63742 .38396 Metetra .704 .753 .89 r .63742 .38396 .64194 .3896 .65115 .38552 .64664 .37984 Metetra .699 .751 .892 r .64664 .37984 .65115 .38552 .66038 .38155 .6559 .37585 Metetra .695 .75 .893 r .6559 .37585 .66038 .38155 .66965 .37768 .66519 .37194 Metetra .692 .748 .895 r .66519 .37194 .66965 .37768 .67895 .37389 .67451 .36813 Metetra .689 .747 .896 r .67451 .36813 .67895 .37389 .68828 .37017 .68386 .36439 Metetra .686 .746 .897 r .68386 .36439 .68828 .37017 .69764 .36652 .69325 .36071 Metetra .683 .745 .898 r .69325 .36071 .69764 .36652 .70703 .36292 .70266 .35709 Metetra .681 .744 .899 r .70266 .35709 .70703 .36292 .71646 .35937 .71212 .35352 Metetra .679 .743 .899 r .71212 .35352 .71646 .35937 .72593 .35586 .7216 .34999 Metetra .677 .743 .9 r .7216 .34999 .72593 .35586 .73542 .35239 .73112 .34649 Metetra .676 .742 .901 r .73112 .34649 .73542 .35239 .74496 .34894 .74068 .34303 Metetra .674 .741 .901 r .74068 .34303 .74496 .34894 .75452 .34553 .75027 .3396 Metetra .673 .741 .902 r .75027 .3396 .75452 .34553 .76412 .34213 .75989 .33618 Metetra .672 .741 .902 r .75989 .33618 .76412 .34213 .77376 .33876 .76955 .33279 Metetra .671 .74 .903 r .76955 .33279 .77376 .33876 .78343 .3354 .77925 .32942 Metetra .67 .74 .903 r .77925 .32942 .78343 .3354 .79313 .33206 .78898 .32605 Metetra .669 .74 .903 r .78898 .32605 .79313 .33206 .80287 .32873 .79874 .3227 Metetra .668 .739 .904 r .79874 .3227 .80287 .32873 .81265 .32541 .80855 .31936 Metetra .667 .739 .904 r .80855 .31936 .81265 .32541 .82247 .32209 .81838 .31603 Metetra .666 .739 .904 r .81838 .31603 .82247 .32209 .83231 .31879 .82826 .3127 Metetra .666 .739 .905 r .82826 .3127 .83231 .31879 .8422 .31548 .83817 .30938 Metetra .665 .739 .905 r .83817 .30938 .8422 .31548 .85212 .31218 .84812 .30606 Metetra .665 .739 .905 r .84812 .30606 .85212 .31218 .86208 .30888 .8581 .30274 Metetra .666 .735 .901 r .2866 .48411 .29187 .48921 .29995 .48654 .2947 .48136 Metetra .658 .73 .903 r .2947 .48136 .29995 .48654 .30805 .48415 .30282 .4788 Metetra .492 .665 .94 r .30282 .4788 .30805 .48415 .31602 .48396 .31079 .47893 Metetra .928 .547 .247 r .31079 .47893 .31602 .48396 .32279 .50338 .31734 .50121 Metetra .939 .668 .497 r .31734 .50121 .32279 .50338 .32003 .68118 .31445 .67652 Metetra .645 .763 .934 r .31445 .67652 .32003 .68118 .32877 .67866 .3232 .67398 Metetra .645 .763 .934 r .3232 .67398 .32877 .67866 .33754 .67613 .33199 .67143 Metetra .645 .763 .934 r .33199 .67143 .33754 .67613 .34633 .67359 .3408 .66887 Metetra .645 .763 .934 r .3408 .66887 .34633 .67359 .35516 .67104 .34965 .6663 Metetra .645 .763 .934 r .34965 .6663 .35516 .67104 .36402 .66848 .35853 .66373 Metetra .645 .763 .934 r .35853 .66373 .36402 .66848 .37291 .66591 .36744 .66114 Metetra .645 .763 .934 r .36744 .66114 .37291 .66591 .38183 .66333 .37638 .65855 Metetra .645 .763 .934 r .37638 .65855 .38183 .66333 .39079 .66074 .38535 .65594 Metetra .645 .763 .934 r .38535 .65594 .39079 .66074 .39977 .65815 .39436 .65333 Metetra .645 .763 .934 r .39436 .65333 .39977 .65815 .40879 .65554 .40339 .65071 Metetra .645 .763 .934 r .40339 .65071 .40879 .65554 .41783 .65293 .41246 .64808 Metetra .645 .763 .934 r .41246 .64808 .41783 .65293 .42691 .65031 .42156 .64544 Metetra .645 .763 .934 r .42156 .64544 .42691 .65031 .43603 .64767 .43069 .64279 Metetra .908 .765 .691 r .43069 .64279 .43603 .64767 .44575 .62055 .44034 .62115 Metetra .972 .801 .613 r .44034 .62115 .44575 .62055 .45553 .58619 .45023 .5858 Metetra .965 .812 .642 r .45023 .5858 .45553 .58619 .46504 .55835 .45983 .55708 Metetra .954 .82 .672 r .45983 .55708 .46504 .55835 .47437 .53543 .46923 .53339 Metetra .941 .824 .702 r .46923 .53339 .47437 .53543 .48357 .51626 .4785 .51356 Metetra .924 .825 .73 r .4785 .51356 .48357 .51626 .49268 .5 .48766 .49677 Metetra .906 .824 .755 r .48766 .49677 .49268 .5 .50173 .48603 .49676 .48235 Metetra .886 .821 .777 r .49676 .48235 .50173 .48603 .51074 .47389 .50581 .46985 Metetra .867 .816 .797 r .50581 .46985 .51074 .47389 .51972 .46321 .51483 .45887 Metetra .848 .81 .813 r .51483 .45887 .51972 .46321 .52869 .45372 .52383 .44913 Metetra .829 .804 .827 r .52383 .44913 .52869 .45372 .53766 .4452 .53283 .44042 Metetra .812 .798 .838 r .53283 .44042 .53766 .4452 .54663 .43749 .54183 .43254 Metetra .796 .792 .848 r .54183 .43254 .54663 .43749 .55562 .43044 .55084 .42535 Metetra .782 .786 .856 r .55084 .42535 .55562 .43044 .56461 .42394 .55987 .41874 Metetra .769 .781 .863 r .55987 .41874 .56461 .42394 .57363 .41791 .56891 .41262 Metetra .757 .776 .868 r .56891 .41262 .57363 .41791 .58266 .41228 .57797 .4069 Metetra .747 .771 .873 r .57797 .4069 .58266 .41228 .59172 .40697 .58705 .40153 Metetra .737 .767 .877 r .58705 .40153 .59172 .40697 .60081 .40195 .59616 .39645 Metetra .729 .764 .881 r .59616 .39645 .60081 .40195 .60992 .39717 .60529 .39162 Metetra .722 .761 .884 r .60529 .39162 .60992 .39717 .61905 .3926 .61445 .387 Metetra .715 .758 .886 r .61445 .387 .61905 .3926 .62822 .3882 .62364 .38256 Metetra .709 .756 .888 r .62364 .38256 .62822 .3882 .63742 .38396 .63286 .37828 Metetra .704 .754 .89 r .63286 .37828 .63742 .38396 .64664 .37984 .64211 .37414 Metetra .7 .752 .892 r .64211 .37414 .64664 .37984 .6559 .37585 .65138 .37011 Metetra .696 .75 .894 r .65138 .37011 .6559 .37585 .66519 .37194 .6607 .36618 Metetra .692 .749 .895 r .6607 .36618 .66519 .37194 .67451 .36813 .67004 .36234 Metetra .689 .747 .896 r .67004 .36234 .67451 .36813 .68386 .36439 .67942 .35858 Metetra .686 .746 .897 r .67942 .35858 .68386 .36439 .69325 .36071 .68882 .35488 Metetra .684 .745 .898 r .68882 .35488 .69325 .36071 .70266 .35709 .69827 .35124 Metetra .681 .744 .899 r .69827 .35124 .70266 .35709 .71212 .35352 .70774 .34764 Metetra .679 .744 .9 r .70774 .34764 .71212 .35352 .7216 .34999 .71725 .34409 Metetra .677 .743 .9 r .71725 .34409 .7216 .34999 .73112 .34649 .7268 .34058 Metetra .676 .742 .901 r .7268 .34058 .73112 .34649 .74068 .34303 .73637 .33709 Metetra .674 .742 .902 r .73637 .33709 .74068 .34303 .75027 .3396 .74599 .33364 Metetra .673 .741 .902 r .74599 .33364 .75027 .3396 .75989 .33618 .75564 .33021 Metetra .672 .741 .902 r .75564 .33021 .75989 .33618 .76955 .33279 .76532 .32679 Metetra .671 .741 .903 r .76532 .32679 .76955 .33279 .77925 .32942 .77504 .3234 Metetra .67 .74 .903 r .77504 .3234 .77925 .32942 .78898 .32605 .78479 .32002 Metetra .669 .74 .904 r .78479 .32002 .78898 .32605 .79874 .3227 .79459 .31665 Metetra .668 .74 .904 r .79459 .31665 .79874 .3227 .80855 .31936 .80441 .31329 Metetra .667 .74 .904 r .80441 .31329 .80855 .31936 .81838 .31603 .81428 .30994 Metetra .666 .739 .905 r .81428 .30994 .81838 .31603 .82826 .3127 .82418 .30659 Metetra .666 .739 .905 r .82418 .30659 .82826 .3127 .83817 .30938 .83411 .30325 Metetra .665 .739 .905 r .83411 .30325 .83817 .30938 .84812 .30606 .84409 .29991 Metetra .665 .739 .905 r .84409 .29991 .84812 .30606 .8581 .30274 .8541 .29657 Metetra .665 .737 .904 r .28129 .47906 .2866 .48411 .2947 .48136 .28941 .47634 Metetra .657 .737 .909 r .28941 .47634 .2947 .48136 .30282 .4788 .29754 .47379 Metetra .49 .681 .951 r .29754 .47379 .30282 .4788 .31079 .47893 .30552 .47379 Metetra .929 .551 .253 r .30552 .47379 .31079 .47893 .31734 .50121 .31202 .49656 Metetra .943 .672 .494 r .31202 .49656 .31734 .50121 .31445 .67652 .30883 .67182 Metetra .645 .763 .934 r .30883 .67182 .31445 .67652 .3232 .67398 .3176 .66926 Metetra .645 .763 .934 r .3176 .66926 .3232 .67398 .33199 .67143 .3264 .6667 Metetra .645 .763 .934 r .3264 .6667 .33199 .67143 .3408 .66887 .33524 .66412 Metetra .645 .763 .934 r .33524 .66412 .3408 .66887 .34965 .6663 .3441 .66154 Metetra .645 .763 .934 r .3441 .66154 .34965 .6663 .35853 .66373 .353 .65895 Metetra .645 .763 .934 r .353 .65895 .35853 .66373 .36744 .66114 .36193 .65635 Metetra .645 .763 .934 r .36193 .65635 .36744 .66114 .37638 .65855 .37089 .65373 Metetra .645 .763 .934 r .37089 .65373 .37638 .65855 .38535 .65594 .37988 .65111 Metetra .645 .763 .934 r .37988 .65111 .38535 .65594 .39436 .65333 .38891 .64848 Metetra .645 .763 .934 r .38891 .64848 .39436 .65333 .40339 .65071 .39796 .64585 Metetra .645 .763 .934 r .39796 .64585 .40339 .65071 .41246 .64808 .40705 .6432 Metetra .645 .763 .934 r .40705 .6432 .41246 .64808 .42156 .64544 .41617 .64054 Metetra .645 .763 .934 r .41617 .64054 .42156 .64544 .43069 .64279 .42532 .63787 Metetra .893 .773 .723 r .42532 .63787 .43069 .64279 .44034 .62115 .43491 .62048 Metetra .963 .787 .616 r .43491 .62048 .44034 .62115 .45023 .5858 .4449 .58449 Metetra .957 .798 .642 r .4449 .58449 .45023 .5858 .45983 .55708 .45459 .55511 Metetra .948 .806 .67 r .45459 .55511 .45983 .55708 .46923 .53339 .46407 .53081 Metetra .936 .812 .698 r .46407 .53081 .46923 .53339 .4785 .51356 .47339 .51046 Metetra .921 .815 .725 r .47339 .51046 .4785 .51356 .48766 .49677 .48261 .49322 Metetra .904 .815 .75 r .48261 .49322 .48766 .49677 .49676 .48235 .49175 .47843 Metetra .885 .813 .772 r .49175 .47843 .49676 .48235 .50581 .46985 .50084 .4656 Metetra .867 .81 .791 r .50084 .4656 .50581 .46985 .51483 .45887 .5099 .45437 Metetra .848 .805 .808 r .5099 .45437 .51483 .45887 .52383 .44913 .51894 .44442 Metetra .83 .8 .823 r .51894 .44442 .52383 .44913 .53283 .44042 .52797 .43552 Metetra .813 .795 .835 r .52797 .43552 .53283 .44042 .54183 .43254 .537 .42749 Metetra .797 .79 .845 r .537 .42749 .54183 .43254 .55084 .42535 .54604 .42018 Metetra .783 .784 .854 r .54604 .42018 .55084 .42535 .55987 .41874 .55509 .41347 Metetra .77 .78 .861 r .55509 .41347 .55987 .41874 .56891 .41262 .56416 .40726 Metetra .758 .775 .867 r .56416 .40726 .56891 .41262 .57797 .4069 .57324 .40147 Metetra .748 .771 .872 r .57324 .40147 .57797 .4069 .58705 .40153 .58235 .39604 Metetra .738 .767 .876 r .58235 .39604 .58705 .40153 .59616 .39645 .59148 .3909 Metetra .73 .764 .88 r .59148 .3909 .59616 .39645 .60529 .39162 .60063 .38602 Metetra .722 .761 .883 r .60063 .38602 .60529 .39162 .61445 .387 .60982 .38136 Metetra .716 .758 .886 r .60982 .38136 .61445 .387 .62364 .38256 .61903 .37689 Metetra .71 .756 .888 r .61903 .37689 .62364 .38256 .63286 .37828 .62827 .37258 Metetra .705 .754 .89 r .62827 .37258 .63286 .37828 .64211 .37414 .63754 .3684 Metetra .7 .752 .892 r .63754 .3684 .64211 .37414 .65138 .37011 .64684 .36435 Metetra .696 .751 .894 r .64684 .36435 .65138 .37011 .6607 .36618 .65618 .36039 Metetra .692 .749 .895 r .65618 .36039 .6607 .36618 .67004 .36234 .66554 .35653 Metetra .689 .748 .896 r .66554 .35653 .67004 .36234 .67942 .35858 .67494 .35274 Metetra .686 .747 .897 r .67494 .35274 .67942 .35858 .68882 .35488 .68437 .34902 Metetra .684 .746 .898 r .68437 .34902 .68882 .35488 .69827 .35124 .69384 .34535 Metetra .681 .745 .899 r .69384 .34535 .69827 .35124 .70774 .34764 .70334 .34174 Metetra .679 .744 .9 r .70334 .34174 .70774 .34764 .71725 .34409 .71287 .33817 Metetra .677 .743 .901 r .71287 .33817 .71725 .34409 .7268 .34058 .72244 .33463 Metetra .676 .743 .901 r .72244 .33463 .7268 .34058 .73637 .33709 .73204 .33113 Metetra .674 .742 .902 r .73204 .33113 .73637 .33709 .74599 .33364 .74168 .32765 Metetra .673 .742 .902 r .74168 .32765 .74599 .33364 .75564 .33021 .75135 .3242 Metetra .672 .741 .903 r .75135 .3242 .75564 .33021 .76532 .32679 .76106 .32077 Metetra .67 .741 .903 r .76106 .32077 .76532 .32679 .77504 .3234 .77081 .31735 Metetra .669 .741 .904 r .77081 .31735 .77504 .3234 .78479 .32002 .78059 .31395 Metetra .669 .74 .904 r .78059 .31395 .78479 .32002 .79459 .31665 .7904 .31056 Metetra .668 .74 .904 r .7904 .31056 .79459 .31665 .80441 .31329 .80025 .30718 Metetra .667 .74 .905 r .80025 .30718 .80441 .31329 .81428 .30994 .81014 .30381 Metetra .666 .74 .905 r .81014 .30381 .81428 .30994 .82418 .30659 .82007 .30045 Metetra .666 .74 .905 r .82007 .30045 .82418 .30659 .83411 .30325 .83003 .29708 Metetra .665 .739 .905 r .83003 .29708 .83411 .30325 .84409 .29991 .84003 .29372 Metetra .665 .739 .906 r .84003 .29372 .84409 .29991 .8541 .29657 .85007 .29036 Metetra .663 .738 .906 r .27595 .47401 .28129 .47906 .28941 .47634 .28408 .47132 Metetra .65 .737 .913 r .28408 .47132 .28941 .47634 .29754 .47379 .29222 .46888 Metetra .5 .691 .954 r .29222 .46888 .29754 .47379 .30552 .47379 .30022 .46871 Metetra .928 .548 .249 r .30022 .46871 .30552 .47379 .31202 .49656 .30671 .49114 Metetra .944 .673 .493 r .30671 .49114 .31202 .49656 .30883 .67182 .30317 .66709 Metetra .645 .763 .934 r .30317 .66709 .30883 .67182 .3176 .66926 .31196 .66452 Metetra .645 .763 .934 r .31196 .66452 .3176 .66926 .3264 .6667 .32078 .66194 Metetra .645 .763 .934 r .32078 .66194 .3264 .6667 .33524 .66412 .32964 .65935 Metetra .645 .763 .934 r .32964 .65935 .33524 .66412 .3441 .66154 .33852 .65675 Metetra .645 .763 .934 r .33852 .65675 .3441 .66154 .353 .65895 .34744 .65414 Metetra .645 .763 .934 r .34744 .65414 .353 .65895 .36193 .65635 .35638 .65152 Metetra .645 .763 .934 r .35638 .65152 .36193 .65635 .37089 .65373 .36536 .64889 Metetra .645 .763 .934 r .36536 .64889 .37089 .65373 .37988 .65111 .37438 .64625 Metetra .645 .763 .934 r .37438 .64625 .37988 .65111 .38891 .64848 .38342 .6436 Metetra .645 .763 .934 r .38342 .6436 .38891 .64848 .39796 .64585 .3925 .64095 Metetra .645 .763 .934 r .3925 .64095 .39796 .64585 .40705 .6432 .4016 .63828 Metetra .645 .763 .934 r .4016 .63828 .40705 .6432 .41617 .64054 .41074 .63561 Metetra .645 .763 .934 r .41074 .63561 .41617 .64054 .42532 .63787 .41992 .63292 Metetra .875 .78 .754 r .41992 .63292 .42532 .63787 .43491 .62048 .42946 .6187 Metetra .956 .775 .619 r .42946 .6187 .43491 .62048 .4449 .58449 .43954 .58232 Metetra .951 .786 .642 r .43954 .58232 .4449 .58449 .45459 .55511 .44931 .55248 Metetra .942 .795 .668 r .44931 .55248 .45459 .55511 .46407 .53081 .45887 .52772 Metetra .931 .801 .695 r .45887 .52772 .46407 .53081 .47339 .51046 .46825 .50696 Metetra .917 .805 .721 r .46825 .50696 .47339 .51046 .48261 .49322 .47753 .48934 Metetra .901 .806 .745 r .47753 .48934 .48261 .49322 .49175 .47843 .48672 .47424 Metetra .884 .806 .767 r .48672 .47424 .49175 .47843 .50084 .4656 .49585 .46115 Metetra .866 .804 .787 r .49585 .46115 .50084 .4656 .5099 .45437 .50494 .44969 Metetra .848 .801 .804 r .50494 .44969 .5099 .45437 .51894 .44442 .51402 .43956 Metetra .831 .796 .819 r .51402 .43956 .51894 .44442 .52797 .43552 .52308 .43051 Metetra .814 .792 .832 r .52308 .43051 .52797 .43552 .537 .42749 .53214 .42236 Metetra .798 .787 .843 r .53214 .42236 .537 .42749 .54604 .42018 .54121 .41494 Metetra .784 .783 .852 r .54121 .41494 .54604 .42018 .55509 .41347 .55028 .40814 Metetra .771 .779 .859 r .55028 .40814 .55509 .41347 .56416 .40726 .55937 .40185 Metetra .759 .774 .866 r .55937 .40185 .56416 .40726 .57324 .40147 .56848 .39599 Metetra .748 .771 .871 r .56848 .39599 .57324 .40147 .58235 .39604 .57761 .3905 Metetra .739 .767 .876 r .57761 .3905 .58235 .39604 .59148 .3909 .58677 .38532 Metetra .73 .764 .88 r .58677 .38532 .59148 .3909 .60063 .38602 .59595 .3804 Metetra .723 .761 .883 r .59595 .3804 .60063 .38602 .60982 .38136 .60515 .3757 Metetra .716 .759 .886 r .60515 .3757 .60982 .38136 .61903 .37689 .61439 .37119 Metetra .71 .756 .888 r .61439 .37119 .61903 .37689 .62827 .37258 .62365 .36685 Metetra .705 .754 .89 r .62365 .36685 .62827 .37258 .63754 .3684 .63295 .36264 Metetra .7 .753 .892 r .63295 .36264 .63754 .3684 .64684 .36435 .64227 .35856 Metetra .696 .751 .894 r .64227 .35856 .64684 .36435 .65618 .36039 .65163 .35458 Metetra .692 .75 .895 r .65163 .35458 .65618 .36039 .66554 .35653 .66102 .35069 Metetra .689 .748 .897 r .66102 .35069 .66554 .35653 .67494 .35274 .67044 .34688 Metetra .686 .747 .898 r .67044 .34688 .67494 .35274 .68437 .34902 .6799 .34313 Metetra .684 .746 .899 r .6799 .34313 .68437 .34902 .69384 .34535 .68939 .33945 Metetra .681 .745 .9 r .68939 .33945 .69384 .34535 .70334 .34174 .69891 .33581 Metetra .679 .745 .9 r .69891 .33581 .70334 .34174 .71287 .33817 .70847 .33222 Metetra .677 .744 .901 r .70847 .33222 .71287 .33817 .72244 .33463 .71806 .32866 Metetra .676 .743 .902 r .71806 .32866 .72244 .33463 .73204 .33113 .72768 .32514 Metetra .674 .743 .902 r .72768 .32514 .73204 .33113 .74168 .32765 .73735 .32164 Metetra .673 .742 .903 r .73735 .32164 .74168 .32765 .75135 .3242 .74704 .31817 Metetra .672 .742 .903 r .74704 .31817 .75135 .3242 .76106 .32077 .75678 .31472 Metetra .67 .742 .904 r .75678 .31472 .76106 .32077 .77081 .31735 .76654 .31128 Metetra .669 .741 .904 r .76654 .31128 .77081 .31735 .78059 .31395 .77635 .30786 Metetra .669 .741 .904 r .77635 .30786 .78059 .31395 .7904 .31056 .78619 .30445 Metetra .668 .741 .905 r .78619 .30445 .7904 .31056 .80025 .30718 .79607 .30105 Metetra .667 .74 .905 r .79607 .30105 .80025 .30718 .81014 .30381 .80598 .29766 Metetra .666 .74 .905 r .80598 .29766 .81014 .30381 .82007 .30045 .81593 .29427 Metetra .666 .74 .905 r .81593 .29427 .82007 .30045 .83003 .29708 .82592 .29089 Metetra .665 .74 .906 r .82592 .29089 .83003 .29708 .84003 .29372 .83595 .28751 Metetra .665 .74 .906 r .83595 .28751 .84003 .29372 .85007 .29036 .84601 .28413 Metetra .665 .739 .905 r .27058 .46894 .27595 .47401 .28408 .47132 .27873 .46618 Metetra .655 .735 .908 r .27873 .46618 .28408 .47132 .29222 .46888 .28689 .46363 Metetra .539 .693 .939 r .28689 .46363 .29222 .46888 .30022 .46871 .29493 .46305 Metetra .917 .519 .181 r .29493 .46305 .30022 .46871 .30671 .49114 .30158 .48271 Metetra .949 .678 .49 r .30158 .48271 .30671 .49114 .30317 .66709 .29747 .66234 Metetra .645 .763 .934 r .29747 .66234 .30317 .66709 .31196 .66452 .30628 .65975 Metetra .645 .763 .934 r .30628 .65975 .31196 .66452 .32078 .66194 .31512 .65715 Metetra .645 .763 .934 r .31512 .65715 .32078 .66194 .32964 .65935 .324 .65454 Metetra .645 .763 .934 r .324 .65454 .32964 .65935 .33852 .65675 .3329 .65192 Metetra .645 .763 .934 r .3329 .65192 .33852 .65675 .34744 .65414 .34184 .64929 Metetra .645 .763 .934 r .34184 .64929 .34744 .65414 .35638 .65152 .3508 .64666 Metetra .645 .763 .934 r .3508 .64666 .35638 .65152 .36536 .64889 .3598 .64401 Metetra .645 .763 .934 r .3598 .64401 .36536 .64889 .37438 .64625 .36883 .64136 Metetra .645 .763 .934 r .36883 .64136 .37438 .64625 .38342 .6436 .3779 .63869 Metetra .645 .763 .934 r .3779 .63869 .38342 .6436 .3925 .64095 .38699 .63602 Metetra .645 .763 .934 r .38699 .63602 .3925 .64095 .4016 .63828 .39612 .63334 Metetra .645 .763 .934 r .39612 .63334 .4016 .63828 .41074 .63561 .40528 .63064 Metetra .645 .763 .934 r .40528 .63064 .41074 .63561 .41992 .63292 .41448 .62794 Metetra .856 .785 .78 r .41448 .62794 .41992 .63292 .42946 .6187 .42399 .61597 Metetra .949 .766 .62 r .42399 .61597 .42946 .6187 .43954 .58232 .43416 .57938 Metetra .944 .776 .643 r .43416 .57938 .43954 .58232 .44931 .55248 .44401 .54923 Metetra .937 .785 .667 r .44401 .54923 .44931 .55248 .45887 .52772 .45363 .52414 Metetra .926 .792 .692 r .45363 .52414 .45887 .52772 .46825 .50696 .46308 .50305 Metetra .913 .796 .717 r .46308 .50305 .46825 .50696 .47753 .48934 .47241 .48515 Metetra .898 .799 .741 r .47241 .48515 .47753 .48934 .48672 .47424 .48165 .46979 Metetra .882 .799 .763 r .48165 .46979 .48672 .47424 .49585 .46115 .49082 .45649 Metetra .865 .798 .783 r .49082 .45649 .49585 .46115 .50494 .44969 .49995 .44485 Metetra .848 .796 .801 r .49995 .44485 .50494 .44969 .51402 .43956 .50906 .43456 Metetra .831 .793 .816 r .50906 .43456 .51402 .43956 .52308 .43051 .51815 .42539 Metetra .814 .789 .829 r .51815 .42539 .52308 .43051 .53214 .42236 .52724 .41712 Metetra .799 .785 .84 r .52724 .41712 .53214 .42236 .54121 .41494 .53634 .40961 Metetra .785 .781 .85 r .53634 .40961 .54121 .41494 .55028 .40814 .54544 .40273 Metetra .772 .777 .858 r .54544 .40273 .55028 .40814 .55937 .40185 .55456 .39638 Metetra .76 .774 .864 r .55456 .39638 .55937 .40185 .56848 .39599 .56369 .39046 Metetra .749 .77 .87 r .56369 .39046 .56848 .39599 .57761 .3905 .57285 .38492 Metetra .739 .767 .875 r .57285 .38492 .57761 .3905 .58677 .38532 .58203 .37969 Metetra .731 .764 .879 r .58203 .37969 .58677 .38532 .59595 .3804 .59123 .37473 Metetra .723 .761 .883 r .59123 .37473 .59595 .3804 .60515 .3757 .60046 .37 Metetra .717 .759 .886 r .60046 .37 .60515 .3757 .61439 .37119 .60972 .36546 Metetra .711 .757 .888 r .60972 .36546 .61439 .37119 .62365 .36685 .61901 .36108 Metetra .705 .755 .891 r .61901 .36108 .62365 .36685 .63295 .36264 .62833 .35685 Metetra .701 .753 .893 r .62833 .35685 .63295 .36264 .64227 .35856 .63767 .35274 Metetra .696 .752 .894 r .63767 .35274 .64227 .35856 .65163 .35458 .64705 .34874 Metetra .693 .75 .896 r .64705 .34874 .65163 .35458 .66102 .35069 .65647 .34483 Metetra .689 .749 .897 r .65647 .34483 .66102 .35069 .67044 .34688 .66591 .34099 Metetra .686 .748 .898 r .66591 .34099 .67044 .34688 .6799 .34313 .67539 .33722 Metetra .684 .747 .899 r .67539 .33722 .6799 .34313 .68939 .33945 .6849 .33352 Metetra .681 .746 .9 r .6849 .33352 .68939 .33945 .69891 .33581 .69445 .32986 Metetra .679 .745 .901 r .69445 .32986 .69891 .33581 .70847 .33222 .70403 .32624 Metetra .677 .745 .902 r .70403 .32624 .70847 .33222 .71806 .32866 .71365 .32267 Metetra .676 .744 .902 r .71365 .32267 .71806 .32866 .72768 .32514 .7233 .31912 Metetra .674 .743 .903 r .7233 .31912 .72768 .32514 .73735 .32164 .73298 .31561 Metetra .673 .743 .903 r .73298 .31561 .73735 .32164 .74704 .31817 .74271 .31211 Metetra .672 .742 .904 r .74271 .31211 .74704 .31817 .75678 .31472 .75246 .30864 Metetra .67 .742 .904 r .75246 .30864 .75678 .31472 .76654 .31128 .76226 .30518 Metetra .669 .742 .904 r .76226 .30518 .76654 .31128 .77635 .30786 .77209 .30174 Metetra .669 .741 .905 r .77209 .30174 .77635 .30786 .78619 .30445 .78195 .29831 Metetra .668 .741 .905 r .78195 .29831 .78619 .30445 .79607 .30105 .79186 .29489 Metetra .667 .741 .905 r .79186 .29489 .79607 .30105 .80598 .29766 .8018 .29147 Metetra .666 .74 .906 r .8018 .29147 .80598 .29766 .81593 .29427 .81177 .28806 Metetra .666 .74 .906 r .81177 .28806 .81593 .29427 .82592 .29089 .82179 .28466 Metetra .665 .74 .906 r .82179 .28466 .82592 .29089 .83595 .28751 .83184 .28126 Metetra .664 .74 .906 r .83184 .28126 .83595 .28751 .84601 .28413 .84193 .27786 Metetra .664 .74 .907 r .26517 .46387 .27058 .46894 .27873 .46618 .27333 .46112 Metetra .657 .739 .91 r .27333 .46112 .27873 .46618 .28689 .46363 .28151 .45851 Metetra .572 .711 .937 r .28151 .45851 .28689 .46363 .29493 .46305 .28961 .45741 Metetra .881 .45 .069 r .28961 .45741 .29493 .46305 .30158 .48271 .29651 .4732 Metetra .95 .68 .49 r .29651 .4732 .30158 .48271 .29747 .66234 .29174 .65755 Metetra .645 .763 .934 r .29174 .65755 .29747 .66234 .30628 .65975 .30057 .65494 Metetra .645 .763 .934 r .30057 .65494 .30628 .65975 .31512 .65715 .30943 .65232 Metetra .645 .763 .934 r .30943 .65232 .31512 .65715 .324 .65454 .31832 .6497 Metetra .645 .763 .934 r .31832 .6497 .324 .65454 .3329 .65192 .32724 .64706 Metetra .645 .763 .934 r .32724 .64706 .3329 .65192 .34184 .64929 .3362 .64442 Metetra .645 .763 .934 r .3362 .64442 .34184 .64929 .3508 .64666 .34518 .64177 Metetra .645 .763 .934 r .34518 .64177 .3508 .64666 .3598 .64401 .3542 .6391 Metetra .645 .763 .934 r .3542 .6391 .3598 .64401 .36883 .64136 .36325 .63643 Metetra .645 .763 .934 r .36325 .63643 .36883 .64136 .3779 .63869 .37234 .63375 Metetra .645 .763 .934 r .37234 .63375 .3779 .63869 .38699 .63602 .38145 .63106 Metetra .645 .763 .934 r .38145 .63106 .38699 .63602 .39612 .63334 .3906 .62836 Metetra .645 .763 .934 r .3906 .62836 .39612 .63334 .40528 .63064 .39979 .62564 Metetra .645 .763 .934 r .39979 .62564 .40528 .63064 .41448 .62794 .409 .62292 Metetra .84 .788 .801 r .409 .62292 .41448 .62794 .42399 .61597 .4185 .61246 Metetra .944 .758 .622 r .4185 .61246 .42399 .61597 .43416 .57938 .42876 .57577 Metetra .939 .768 .643 r .42876 .57577 .43416 .57938 .44401 .54923 .43869 .54541 Metetra .932 .777 .666 r .43869 .54541 .44401 .54923 .45363 .52414 .44837 .52008 Metetra .922 .783 .691 r .44837 .52008 .45363 .52414 .46308 .50305 .45788 .49876 Metetra .91 .788 .715 r .45788 .49876 .46308 .50305 .47241 .48515 .46726 .48063 Metetra .895 .791 .738 r .46726 .48063 .47241 .48515 .48165 .46979 .47654 .46509 Metetra .88 .793 .76 r .47654 .46509 .48165 .46979 .49082 .45649 .48576 .45162 Metetra .863 .793 .78 r .48576 .45162 .49082 .45649 .49995 .44485 .49493 .43983 Metetra .847 .791 .798 r .49493 .43983 .49995 .44485 .50906 .43456 .50407 .42942 Metetra .83 .789 .813 r .50407 .42942 .50906 .43456 .51815 .42539 .5132 .42014 Metetra .814 .786 .827 r .5132 .42014 .51815 .42539 .52724 .41712 .52232 .41179 Metetra .799 .783 .838 r .52232 .41179 .52724 .41712 .53634 .40961 .53144 .4042 Metetra .785 .78 .848 r .53144 .4042 .53634 .40961 .54544 .40273 .54057 .39726 Metetra .772 .776 .856 r .54057 .39726 .54544 .40273 .55456 .39638 .54971 .39085 Metetra .76 .773 .864 r .54971 .39085 .55456 .39638 .56369 .39046 .55887 .38488 Metetra .749 .77 .87 r .55887 .38488 .56369 .39046 .57285 .38492 .56805 .3793 Metetra .74 .767 .875 r .56805 .3793 .57285 .38492 .58203 .37969 .57725 .37403 Metetra .731 .764 .879 r .57725 .37403 .58203 .37969 .59123 .37473 .58648 .36903 Metetra .724 .761 .883 r .58648 .36903 .59123 .37473 .60046 .37 .59574 .36427 Metetra .717 .759 .886 r .59574 .36427 .60046 .37 .60972 .36546 .60502 .3597 Metetra .711 .757 .888 r .60502 .3597 .60972 .36546 .61901 .36108 .61433 .3553 Metetra .705 .755 .891 r .61433 .3553 .61901 .36108 .62833 .35685 .62367 .35104 Metetra .701 .754 .893 r .62367 .35104 .62833 .35685 .63767 .35274 .63305 .3469 Metetra .696 .752 .895 r .63305 .3469 .63767 .35274 .64705 .34874 .64245 .34287 Metetra .693 .751 .896 r .64245 .34287 .64705 .34874 .65647 .34483 .65189 .33894 Metetra .689 .749 .897 r .65189 .33894 .65647 .34483 .66591 .34099 .66136 .33508 Metetra .686 .748 .899 r .66136 .33508 .66591 .34099 .67539 .33722 .67086 .33129 Metetra .684 .747 .9 r .67086 .33129 .67539 .33722 .6849 .33352 .68039 .32756 Metetra .681 .747 .9 r .68039 .32756 .6849 .33352 .69445 .32986 .68997 .32388 Metetra .679 .746 .901 r .68997 .32388 .69445 .32986 .70403 .32624 .69957 .32025 Metetra .677 .745 .902 r .69957 .32025 .70403 .32624 .71365 .32267 .70921 .31665 Metetra .676 .744 .903 r .70921 .31665 .71365 .32267 .7233 .31912 .71889 .31308 Metetra .674 .744 .903 r .71889 .31308 .7233 .31912 .73298 .31561 .7286 .30954 Metetra .673 .743 .904 r .7286 .30954 .73298 .31561 .74271 .31211 .73834 .30603 Metetra .672 .743 .904 r .73834 .30603 .74271 .31211 .75246 .30864 .74812 .30253 Metetra .67 .743 .904 r .74812 .30253 .75246 .30864 .76226 .30518 .75794 .29906 Metetra .669 .742 .905 r .75794 .29906 .76226 .30518 .77209 .30174 .7678 .29559 Metetra .669 .742 .905 r .7678 .29559 .77209 .30174 .78195 .29831 .77769 .29214 Metetra .668 .741 .905 r .77769 .29214 .78195 .29831 .79186 .29489 .78762 .28869 Metetra .667 .741 .906 r .78762 .28869 .79186 .29489 .8018 .29147 .79758 .28526 Metetra .666 .741 .906 r .79758 .28526 .8018 .29147 .81177 .28806 .80759 .28183 Metetra .666 .741 .906 r .80759 .28183 .81177 .28806 .82179 .28466 .81763 .2784 Metetra .665 .74 .906 r .81763 .2784 .82179 .28466 .83184 .28126 .82771 .27498 Metetra .664 .74 .907 r .82771 .27498 .83184 .28126 .84193 .27786 .83782 .27156 Metetra .663 .74 .907 r .25973 .45878 .26517 .46387 .27333 .46112 .26791 .45602 Metetra .659 .74 .909 r .26791 .45602 .27333 .46112 .28151 .45851 .27611 .45335 Metetra .599 .721 .93 r .27611 .45335 .28151 .45851 .28961 .45741 .28424 .45181 Metetra .829 .37 0 r .28424 .45181 .28961 .45741 .29651 .4732 .29133 .46492 Metetra .948 .678 .492 r .29133 .46492 .29651 .4732 .29174 .65755 .28597 .65273 Metetra .645 .763 .934 r .28597 .65273 .29174 .65755 .30057 .65494 .29482 .6501 Metetra .645 .763 .934 r .29482 .6501 .30057 .65494 .30943 .65232 .3037 .64747 Metetra .645 .763 .934 r .3037 .64747 .30943 .65232 .31832 .6497 .31261 .64483 Metetra .645 .763 .934 r .31261 .64483 .31832 .6497 .32724 .64706 .32155 .64218 Metetra .645 .763 .934 r .32155 .64218 .32724 .64706 .3362 .64442 .33052 .63951 Metetra .645 .763 .934 r .33052 .63951 .3362 .64442 .34518 .64177 .33953 .63684 Metetra .645 .763 .934 r .33953 .63684 .34518 .64177 .3542 .6391 .34857 .63416 Metetra .645 .763 .934 r .34857 .63416 .3542 .6391 .36325 .63643 .35764 .63147 Metetra .645 .763 .934 r .35764 .63147 .36325 .63643 .37234 .63375 .36674 .62877 Metetra .645 .763 .934 r .36674 .62877 .37234 .63375 .38145 .63106 .37588 .62606 Metetra .645 .763 .934 r .37588 .62606 .38145 .63106 .3906 .62836 .38505 .62334 Metetra .645 .763 .934 r .38505 .62334 .3906 .62836 .39979 .62564 .39425 .62061 Metetra .645 .763 .934 r .39425 .62061 .39979 .62564 .409 .62292 .40349 .61787 Metetra .828 .789 .815 r .40349 .61787 .409 .62292 .4185 .61246 .41299 .60831 Metetra .939 .752 .623 r .41299 .60831 .4185 .61246 .42876 .57577 .42333 .57156 Metetra .934 .762 .643 r .42333 .57156 .42876 .57577 .43869 .54541 .43333 .54107 Metetra .927 .769 .666 r .43333 .54107 .43869 .54541 .44837 .52008 .44309 .51558 Metetra .917 .776 .689 r .44309 .51558 .44837 .52008 .45788 .49876 .45265 .49409 Metetra .906 .781 .713 r .45265 .49409 .45788 .49876 .46726 .48063 .46208 .47581 Metetra .892 .785 .736 r .46208 .47581 .46726 .48063 .47654 .46509 .47141 .46012 Metetra .877 .787 .757 r .47141 .46012 .47654 .46509 .48576 .45162 .48066 .44653 Metetra .861 .788 .777 r .48066 .44653 .48576 .45162 .49493 .43983 .48987 .43464 Metetra .845 .787 .795 r .48987 .43464 .49493 .43983 .50407 .42942 .49905 .42414 Metetra .829 .786 .811 r .49905 .42414 .50407 .42942 .5132 .42014 .50821 .41478 Metetra .814 .784 .825 r .50821 .41478 .5132 .42014 .52232 .41179 .51736 .40636 Metetra .799 .781 .837 r .51736 .40636 .52232 .41179 .53144 .4042 .52651 .39871 Metetra .785 .778 .847 r .52651 .39871 .53144 .4042 .54057 .39726 .53566 .39171 Metetra .772 .775 .855 r .53566 .39171 .54057 .39726 .54971 .39085 .54483 .38526 Metetra .76 .772 .863 r .54483 .38526 .54971 .39085 .55887 .38488 .55402 .37925 Metetra .75 .769 .869 r .55402 .37925 .55887 .38488 .56805 .3793 .56322 .37363 Metetra .74 .767 .874 r .56322 .37363 .56805 .3793 .57725 .37403 .57245 .36833 Metetra .732 .764 .879 r .57245 .36833 .57725 .37403 .58648 .36903 .5817 .3633 Metetra .724 .762 .883 r .5817 .3633 .58648 .36903 .59574 .36427 .59098 .35851 Metetra .717 .759 .886 r .59098 .35851 .59574 .36427 .60502 .3597 .60029 .35391 Metetra .711 .757 .889 r .60029 .35391 .60502 .3597 .61433 .3553 .60963 .34948 Metetra .706 .756 .891 r .60963 .34948 .61433 .3553 .62367 .35104 .61899 .3452 Metetra .701 .754 .893 r .61899 .3452 .62367 .35104 .63305 .3469 .62839 .34104 Metetra .697 .753 .895 r .62839 .34104 .63305 .3469 .64245 .34287 .63782 .33698 Metetra .693 .751 .896 r .63782 .33698 .64245 .34287 .65189 .33894 .64728 .33303 Metetra .689 .75 .898 r .64728 .33303 .65189 .33894 .66136 .33508 .65677 .32915 Metetra .686 .749 .899 r .65677 .32915 .66136 .33508 .67086 .33129 .6663 .32533 Metetra .684 .748 .9 r .6663 .32533 .67086 .33129 .68039 .32756 .67586 .32158 Metetra .681 .747 .901 r .67586 .32158 .68039 .32756 .68997 .32388 .68545 .31788 Metetra .679 .746 .902 r .68545 .31788 .68997 .32388 .69957 .32025 .69508 .31422 Metetra .677 .746 .902 r .69508 .31422 .69957 .32025 .70921 .31665 .70474 .3106 Metetra .676 .745 .903 r .70474 .3106 .70921 .31665 .71889 .31308 .71444 .30702 Metetra .674 .744 .904 r .71444 .30702 .71889 .31308 .7286 .30954 .72418 .30346 Metetra .673 .744 .904 r .72418 .30346 .7286 .30954 .73834 .30603 .73395 .29992 Metetra .672 .743 .904 r .73395 .29992 .73834 .30603 .74812 .30253 .74376 .2964 Metetra .67 .743 .905 r .74376 .2964 .74812 .30253 .75794 .29906 .7536 .2929 Metetra .669 .743 .905 r .7536 .2929 .75794 .29906 .7678 .29559 .76348 .28942 Metetra .669 .742 .906 r .76348 .28942 .7678 .29559 .77769 .29214 .7734 .28594 Metetra .668 .742 .906 r .7734 .28594 .77769 .29214 .78762 .28869 .78335 .28247 Metetra .667 .742 .906 r .78335 .28247 .78762 .28869 .79758 .28526 .79334 .27901 Metetra .666 .741 .906 r .79334 .27901 .79758 .28526 .80759 .28183 .80337 .27556 Metetra .666 .741 .906 r .80337 .27556 .80759 .28183 .81763 .2784 .81344 .27211 Metetra .665 .741 .907 r .81344 .27211 .81763 .2784 .82771 .27498 .82354 .26867 Metetra .664 .74 .907 r .82354 .26867 .82771 .27498 .83782 .27156 .83369 .26523 Metetra .664 .741 .907 r .25425 .45366 .25973 .45878 .26791 .45602 .26245 .45089 Metetra .662 .74 .908 r .26245 .45089 .26791 .45602 .27611 .45335 .27067 .44814 Metetra .616 .725 .924 r .27067 .44814 .27611 .45335 .28424 .45181 .27884 .44629 Metetra .723 .234 0 r .27884 .44629 .28424 .45181 .29133 .46492 .28612 .45664 Metetra .95 .675 .482 r .28612 .45664 .29133 .46492 .28597 .65273 .28378 .59871 Metetra 0 0 .389 r .28378 .59871 .28597 .65273 .29482 .6501 .28903 .64523 Metetra .645 .763 .934 r .28903 .64523 .29482 .6501 .3037 .64747 .29793 .64258 Metetra .645 .763 .934 r .29793 .64258 .3037 .64747 .31261 .64483 .30686 .63992 Metetra .645 .763 .934 r .30686 .63992 .31261 .64483 .32155 .64218 .31582 .63725 Metetra .645 .763 .934 r .31582 .63725 .32155 .64218 .33052 .63951 .32481 .63458 Metetra .645 .763 .934 r .32481 .63458 .33052 .63951 .33953 .63684 .33384 .63189 Metetra .645 .763 .934 r .33384 .63189 .33953 .63684 .34857 .63416 .3429 .62919 Metetra .645 .763 .934 r .3429 .62919 .34857 .63416 .35764 .63147 .35199 .62648 Metetra .645 .763 .934 r .35199 .62648 .35764 .63147 .36674 .62877 .36111 .62376 Metetra .645 .763 .934 r .36111 .62376 .36674 .62877 .37588 .62606 .37027 .62103 Metetra .645 .763 .934 r .37027 .62103 .37588 .62606 .38505 .62334 .37946 .6183 Metetra .645 .763 .934 r .37946 .6183 .38505 .62334 .39425 .62061 .38868 .61555 Metetra .645 .763 .934 r .38868 .61555 .39425 .62061 .40349 .61787 .39794 .61279 Metetra .822 .789 .821 r .39794 .61279 .40349 .61787 .41299 .60831 .40746 .60364 Metetra .936 .748 .623 r .40746 .60364 .41299 .60831 .42333 .57156 .41788 .56683 Metetra .93 .756 .644 r .41788 .56683 .42333 .57156 .43333 .54107 .42796 .53625 Metetra .923 .763 .665 r .42796 .53625 .43333 .54107 .44309 .51558 .43777 .51065 Metetra .913 .769 .688 r .43777 .51065 .44309 .51558 .45265 .49409 .44739 .48905 Metetra .902 .775 .711 r .44739 .48905 .45265 .49409 .46208 .47581 .45687 .47068 Metetra .889 .779 .734 r .45687 .47068 .46208 .47581 .47141 .46012 .46624 .4549 Metetra .874 .781 .755 r .46624 .4549 .47141 .46012 .48066 .44653 .47554 .44123 Metetra .859 .783 .775 r .47554 .44123 .48066 .44653 .48987 .43464 .48478 .42927 Metetra .844 .783 .793 r .48478 .42927 .48987 .43464 .49905 .42414 .49399 .41871 Metetra .828 .782 .809 r .49399 .41871 .49905 .42414 .50821 .41478 .50318 .40929 Metetra .813 .781 .823 r .50318 .40929 .50821 .41478 .51736 .40636 .51236 .40082 Metetra .798 .779 .835 r .51236 .40082 .51736 .40636 .52651 .39871 .52154 .39314 Metetra .785 .776 .846 r .52154 .39314 .52651 .39871 .53566 .39171 .53073 .3861 Metetra .772 .774 .854 r .53073 .3861 .53566 .39171 .54483 .38526 .53992 .37961 Metetra .76 .771 .862 r .53992 .37961 .54483 .38526 .55402 .37925 .54914 .37357 Metetra .75 .769 .868 r .54914 .37357 .55402 .37925 .56322 .37363 .55837 .36792 Metetra .74 .766 .874 r .55837 .36792 .56322 .37363 .57245 .36833 .56762 .36259 Metetra .732 .764 .879 r .56762 .36259 .57245 .36833 .5817 .3633 .5769 .35753 Metetra .724 .762 .883 r .5769 .35753 .5817 .3633 .59098 .35851 .5862 .35271 Metetra .717 .76 .886 r .5862 .35271 .59098 .35851 .60029 .35391 .59553 .34809 Metetra .711 .758 .889 r .59553 .34809 .60029 .35391 .60963 .34948 .60489 .34363 Metetra .706 .756 .891 r .60489 .34363 .60963 .34948 .61899 .3452 .61428 .33933 Metetra .701 .754 .893 r .61428 .33933 .61899 .3452 .62839 .34104 .6237 .33515 Metetra .697 .753 .895 r .6237 .33515 .62839 .34104 .63782 .33698 .63315 .33107 Metetra .693 .752 .897 r .63315 .33107 .63782 .33698 .64728 .33303 .64263 .32709 Metetra .69 .751 .898 r .64263 .32709 .64728 .33303 .65677 .32915 .65215 .32319 Metetra .687 .75 .899 r .65215 .32319 .65677 .32915 .6663 .32533 .6617 .31935 Metetra .684 .749 .9 r .6617 .31935 .6663 .32533 .67586 .32158 .67129 .31558 Metetra .681 .748 .901 r .67129 .31558 .67586 .32158 .68545 .31788 .68091 .31185 Metetra .679 .747 .902 r .68091 .31185 .68545 .31788 .69508 .31422 .69056 .30818 Metetra .677 .746 .903 r .69056 .30818 .69508 .31422 .70474 .3106 .70025 .30453 Metetra .676 .746 .903 r .70025 .30453 .70474 .3106 .71444 .30702 .70997 .30092 Metetra .674 .745 .904 r .70997 .30092 .71444 .30702 .72418 .30346 .71973 .29734 Metetra .673 .745 .904 r .71973 .29734 .72418 .30346 .73395 .29992 .72953 .29378 Metetra .672 .744 .905 r .72953 .29378 .73395 .29992 .74376 .2964 .73936 .29024 Metetra .67 .744 .905 r .73936 .29024 .74376 .2964 .7536 .2929 .74923 .28672 Metetra .669 .743 .906 r .74923 .28672 .7536 .2929 .76348 .28942 .75913 .28321 Metetra .669 .743 .906 r .75913 .28321 .76348 .28942 .7734 .28594 .76908 .27971 Metetra .668 .743 .906 r .76908 .27971 .7734 .28594 .78335 .28247 .77906 .27623 Metetra .667 .742 .906 r .77906 .27623 .78335 .28247 .79334 .27901 .78907 .27274 Metetra .666 .742 .907 r .78907 .27274 .79334 .27901 .80337 .27556 .79913 .26927 Metetra .666 .742 .907 r .79913 .26927 .80337 .27556 .81344 .27211 .80922 .26579 Metetra .665 .741 .907 r .80922 .26579 .81344 .27211 .82354 .26867 .81935 .26232 Metetra .664 .741 .907 r .81935 .26232 .82354 .26867 .83369 .26523 .82952 .25885 Metetra .664 .741 .908 r .24874 .44853 .25425 .45366 .26245 .45089 .25695 .44574 Metetra .662 .741 .909 r .25695 .44574 .26245 .45089 .27067 .44814 .26519 .44298 Metetra .616 .728 .926 r .26519 .44298 .27067 .44814 .27884 .44629 .27338 .44111 Metetra .742 .249 0 r .27338 .44111 .27884 .44629 .28612 .45664 .28064 .45146 Metetra .944 .67 .487 r .28064 .45146 .28612 .45664 .28378 .59871 .27804 .59374 Metetra .945 .625 .398 r .27804 .59374 .28378 .59871 .28903 .64523 .2832 .64033 Metetra .645 .763 .934 r .2832 .64033 .28903 .64523 .29793 .64258 .29212 .63767 Metetra .645 .763 .934 r .29212 .63767 .29793 .64258 .30686 .63992 .30107 .63499 Metetra .645 .763 .934 r .30107 .63499 .30686 .63992 .31582 .63725 .31005 .6323 Metetra .645 .763 .934 r .31005 .6323 .31582 .63725 .32481 .63458 .31906 .6296 Metetra .645 .763 .934 r .31906 .6296 .32481 .63458 .33384 .63189 .32811 .6269 Metetra .645 .763 .934 r .32811 .6269 .33384 .63189 .3429 .62919 .33718 .62418 Metetra .645 .763 .934 r .33718 .62418 .3429 .62919 .35199 .62648 .3463 .62145 Metetra .645 .763 .934 r .3463 .62145 .35199 .62648 .36111 .62376 .35544 .61872 Metetra .645 .763 .934 r .35544 .61872 .36111 .62376 .37027 .62103 .36462 .61597 Metetra .645 .763 .934 r .36462 .61597 .37027 .62103 .37946 .6183 .37383 .61322 Metetra .645 .763 .934 r .37383 .61322 .37946 .6183 .38868 .61555 .38307 .61045 Metetra .645 .763 .934 r .38307 .61045 .38868 .61555 .39794 .61279 .39235 .60767 Metetra .822 .789 .821 r .39235 .60767 .39794 .61279 .40746 .60364 .4019 .59849 Metetra .933 .744 .624 r .4019 .59849 .40746 .60364 .41788 .56683 .41241 .56161 Metetra .927 .75 .644 r .41241 .56161 .41788 .56683 .42796 .53625 .42255 .53095 Metetra .919 .757 .665 r .42255 .53095 .42796 .53625 .43777 .51065 .43243 .5053 Metetra .909 .763 .688 r .43243 .5053 .43777 .51065 .44739 .48905 .44211 .48365 Metetra .898 .768 .71 r .44211 .48365 .44739 .48905 .45687 .47068 .45163 .46524 Metetra .885 .773 .732 r .45163 .46524 .45687 .47068 .46624 .4549 .46105 .44942 Metetra .871 .776 .754 r .46105 .44942 .46624 .4549 .47554 .44123 .47038 .43572 Metetra .857 .778 .773 r .47038 .43572 .47554 .44123 .48478 .42927 .47966 .42372 Metetra .842 .779 .791 r .47966 .42372 .48478 .42927 .49399 .41871 .48891 .41313 Metetra .826 .779 .807 r .48891 .41313 .49399 .41871 .50318 .40929 .49813 .40369 Metetra .812 .778 .822 r .49813 .40369 .50318 .40929 .51236 .40082 .50734 .39519 Metetra .797 .777 .834 r .50734 .39519 .51236 .40082 .52154 .39314 .51654 .38748 Metetra .784 .775 .845 r .51654 .38748 .52154 .39314 .53073 .3861 .52576 .38042 Metetra .771 .773 .854 r .52576 .38042 .53073 .3861 .53992 .37961 .53498 .3739 Metetra .76 .771 .862 r .53498 .3739 .53992 .37961 .54914 .37357 .54422 .36784 Metetra .75 .768 .868 r .54422 .36784 .54914 .37357 .55837 .36792 .55348 .36216 Metetra .74 .766 .874 r .55348 .36216 .55837 .36792 .56762 .36259 .56275 .35681 Metetra .732 .764 .879 r .56275 .35681 .56762 .36259 .5769 .35753 .57206 .35173 Metetra .724 .762 .883 r .57206 .35173 .5769 .35753 .5862 .35271 .58138 .34688 Metetra .717 .76 .886 r .58138 .34688 .5862 .35271 .59553 .34809 .59074 .34224 Metetra .711 .758 .889 r .59074 .34224 .59553 .34809 .60489 .34363 .60012 .33776 Metetra .706 .756 .892 r .60012 .33776 .60489 .34363 .61428 .33933 .60954 .33343 Metetra .701 .755 .894 r .60954 .33343 .61428 .33933 .6237 .33515 .61898 .32923 Metetra .697 .754 .896 r .61898 .32923 .6237 .33515 .63315 .33107 .62846 .32513 Metetra .693 .752 .897 r .62846 .32513 .63315 .33107 .64263 .32709 .63796 .32113 Metetra .69 .751 .899 r .63796 .32113 .64263 .32709 .65215 .32319 .64751 .3172 Metetra .687 .75 .9 r .64751 .3172 .65215 .32319 .6617 .31935 .65708 .31335 Metetra .684 .749 .901 r .65708 .31335 .6617 .31935 .67129 .31558 .66669 .30955 Metetra .682 .748 .902 r .66669 .30955 .67129 .31558 .68091 .31185 .67633 .3058 Metetra .679 .748 .903 r .67633 .3058 .68091 .31185 .69056 .30818 .68601 .3021 Metetra .677 .747 .903 r .68601 .3021 .69056 .30818 .70025 .30453 .69572 .29844 Metetra .676 .746 .904 r .69572 .29844 .70025 .30453 .70997 .30092 .70547 .29481 Metetra .674 .746 .904 r .70547 .29481 .70997 .30092 .71973 .29734 .71526 .2912 Metetra .673 .745 .905 r .71526 .2912 .71973 .29734 .72953 .29378 .72508 .28762 Metetra .672 .745 .905 r .72508 .28762 .72953 .29378 .73936 .29024 .73494 .28406 Metetra .67 .744 .906 r .73494 .28406 .73936 .29024 .74923 .28672 .74483 .28051 Metetra .669 .744 .906 r .74483 .28051 .74923 .28672 .75913 .28321 .75476 .27698 Metetra .669 .743 .906 r .75476 .27698 .75913 .28321 .76908 .27971 .76473 .27346 Metetra .668 .743 .907 r .76473 .27346 .76908 .27971 .77906 .27623 .77474 .26995 Metetra .667 .743 .907 r .77474 .26995 .77906 .27623 .78907 .27274 .78478 .26644 Metetra .666 .742 .907 r .78478 .26644 .78907 .27274 .79913 .26927 .79486 .26294 Metetra .666 .742 .907 r .79486 .26294 .79913 .26927 .80922 .26579 .80498 .25944 Metetra .665 .742 .907 r .80498 .25944 .80922 .26579 .81935 .26232 .81514 .25595 Metetra .664 .742 .908 r .81514 .25595 .81935 .26232 .82952 .25885 .82534 .25246 Metetra .663 .742 .908 r .2432 .44338 .24874 .44853 .25695 .44574 .25142 .44058 Metetra .659 .741 .91 r .25142 .44058 .25695 .44574 .26519 .44298 .25967 .43786 Metetra .598 .726 .934 r .25967 .43786 .26519 .44298 .27338 .44111 .26785 .43627 Metetra .845 .385 .008 r .26785 .43627 .27338 .44111 .28064 .45146 .27488 .44939 Metetra .939 .669 .499 r .27488 .44939 .28064 .45146 .27804 .59374 .26843 .63808 Metetra .504 .238 .444 r .26843 .63808 .27804 .59374 .2832 .64033 .27734 .6354 Metetra .645 .763 .934 r .27734 .6354 .2832 .64033 .29212 .63767 .28627 .63271 Metetra .645 .763 .934 r .28627 .63271 .29212 .63767 .30107 .63499 .29524 .63002 Metetra .645 .763 .934 r .29524 .63002 .30107 .63499 .31005 .6323 .30424 .62731 Metetra .645 .763 .934 r .30424 .62731 .31005 .6323 .31906 .6296 .31327 .6246 Metetra .645 .763 .934 r .31327 .6246 .31906 .6296 .32811 .6269 .32234 .62187 Metetra .645 .763 .934 r .32234 .62187 .32811 .6269 .33718 .62418 .33144 .61914 Metetra .645 .763 .934 r .33144 .61914 .33718 .62418 .3463 .62145 .34057 .61639 Metetra .645 .763 .934 r .34057 .61639 .3463 .62145 .35544 .61872 .34973 .61364 Metetra .645 .763 .934 r .34973 .61364 .35544 .61872 .36462 .61597 .35893 .61088 Metetra .645 .763 .934 r .35893 .61088 .36462 .61597 .37383 .61322 .36816 .6081 Metetra .645 .763 .934 r .36816 .6081 .37383 .61322 .38307 .61045 .37742 .60532 Metetra .645 .763 .934 r .37742 .60532 .38307 .61045 .39235 .60767 .38672 .60252 Metetra .828 .789 .815 r .38672 .60252 .39235 .60767 .4019 .59849 .39633 .59287 Metetra .93 .74 .624 r .39633 .59287 .4019 .59849 .41241 .56161 .40691 .55588 Metetra .923 .745 .644 r .40691 .55588 .41241 .56161 .42255 .53095 .41713 .52519 Metetra .914 .751 .665 r .41713 .52519 .42255 .53095 .43243 .5053 .42707 .49953 Metetra .905 .757 .687 r .42707 .49953 .43243 .5053 .44211 .48365 .4368 .4779 Metetra .894 .762 .709 r .4368 .4779 .44211 .48365 .45163 .46524 .44637 .45949 Metetra .881 .767 .731 r .44637 .45949 .45163 .46524 .46105 .44942 .45582 .44369 Metetra .868 .771 .752 r .45582 .44369 .46105 .44942 .47038 .43572 .4652 .42999 Metetra .854 .773 .772 r .4652 .42999 .47038 .43572 .47966 .42372 .47451 .418 Metetra .839 .775 .79 r .47451 .418 .47966 .42372 .48891 .41313 .48379 .40741 Metetra .824 .775 .806 r .48379 .40741 .48891 .41313 .49813 .40369 .49304 .39796 Metetra .81 .775 .821 r .49304 .39796 .49813 .40369 .50734 .39519 .50228 .38946 Metetra .796 .774 .833 r .50228 .38946 .50734 .39519 .51654 .38748 .51152 .38173 Metetra .783 .773 .844 r .51152 .38173 .51654 .38748 .52576 .38042 .52076 .37466 Metetra .771 .771 .853 r .52076 .37466 .52576 .38042 .53498 .3739 .53001 .36813 Metetra .76 .77 .861 r .53001 .36813 .53498 .3739 .54422 .36784 .53927 .36205 Metetra .749 .768 .868 r .53927 .36205 .54422 .36784 .55348 .36216 .54855 .35636 Metetra .74 .766 .874 r .54855 .35636 .55348 .36216 .56275 .35681 .55786 .35099 Metetra .732 .764 .879 r .55786 .35099 .56275 .35681 .57206 .35173 .56718 .34589 Metetra .724 .762 .883 r .56718 .34589 .57206 .35173 .58138 .34688 .57654 .34102 Metetra .717 .76 .886 r .57654 .34102 .58138 .34688 .59074 .34224 .58592 .33636 Metetra .711 .758 .889 r .58592 .33636 .59074 .34224 .60012 .33776 .59532 .33186 Metetra .706 .757 .892 r .59532 .33186 .60012 .33776 .60954 .33343 .60476 .32751 Metetra .701 .755 .894 r .60476 .32751 .60954 .33343 .61898 .32923 .61423 .32329 Metetra .697 .754 .896 r .61423 .32329 .61898 .32923 .62846 .32513 .62373 .31917 Metetra .693 .753 .898 r .62373 .31917 .62846 .32513 .63796 .32113 .63326 .31514 Metetra .69 .752 .899 r .63326 .31514 .63796 .32113 .64751 .3172 .64283 .3112 Metetra .687 .751 .9 r .64283 .3112 .64751 .3172 .65708 .31335 .65243 .30732 Metetra .684 .75 .901 r .65243 .30732 .65708 .31335 .66669 .30955 .66206 .3035 Metetra .682 .749 .902 r .66206 .3035 .66669 .30955 .67633 .3058 .67173 .29973 Metetra .679 .748 .903 r .67173 .29973 .67633 .3058 .68601 .3021 .68143 .29601 Metetra .678 .747 .904 r .68143 .29601 .68601 .3021 .69572 .29844 .69117 .29232 Metetra .676 .747 .904 r .69117 .29232 .69572 .29844 .70547 .29481 .70094 .28866 Metetra .674 .746 .905 r .70094 .28866 .70547 .29481 .71526 .2912 .71075 .28504 Metetra .673 .746 .905 r .71075 .28504 .71526 .2912 .72508 .28762 .7206 .28143 Metetra .672 .745 .906 r .7206 .28143 .72508 .28762 .73494 .28406 .73048 .27785 Metetra .671 .745 .906 r .73048 .27785 .73494 .28406 .74483 .28051 .7404 .27428 Metetra .67 .744 .906 r .7404 .27428 .74483 .28051 .75476 .27698 .75036 .27072 Metetra .669 .744 .907 r .75036 .27072 .75476 .27698 .76473 .27346 .76035 .26718 Metetra .668 .744 .907 r .76035 .26718 .76473 .27346 .77474 .26995 .77039 .26364 Metetra .667 .743 .907 r .77039 .26364 .77474 .26995 .78478 .26644 .78046 .26012 Metetra .666 .743 .907 r .78046 .26012 .78478 .26644 .79486 .26294 .79056 .25659 Metetra .666 .743 .908 r .79056 .25659 .79486 .26294 .80498 .25944 .80071 .25307 Metetra .665 .743 .908 r .80071 .25307 .80498 .25944 .81514 .25595 .8109 .24956 Metetra .664 .742 .908 r .8109 .24956 .81514 .25595 .82534 .25246 .82112 .24605 Metetra .664 .742 .909 r .23762 .43821 .2432 .44338 .25142 .44058 .24586 .43538 Metetra .657 .74 .911 r .24586 .43538 .25142 .44058 .25967 .43786 .25412 .43268 Metetra .571 .715 .94 r .25412 .43268 .25967 .43786 .26785 .43627 .26228 .43151 Metetra .887 .458 .119 r .26228 .43151 .26785 .43627 .27488 .44939 .26907 .44734 Metetra .939 .668 .498 r .26907 .44734 .27488 .44939 .26843 .63808 .26251 .63313 Metetra .645 .763 .934 r .26251 .63313 .26843 .63808 .27734 .6354 .27143 .63043 Metetra .645 .763 .934 r .27143 .63043 .27734 .6354 .28627 .63271 .28039 .62773 Metetra .645 .763 .934 r .28039 .62773 .28627 .63271 .29524 .63002 .28937 .62502 Metetra .645 .763 .934 r .28937 .62502 .29524 .63002 .30424 .62731 .29839 .62229 Metetra .645 .763 .934 r .29839 .62229 .30424 .62731 .31327 .6246 .30744 .61956 Metetra .645 .763 .934 r .30744 .61956 .31327 .6246 .32234 .62187 .31653 .61682 Metetra .645 .763 .934 r .31653 .61682 .32234 .62187 .33144 .61914 .32565 .61406 Metetra .645 .763 .934 r .32565 .61406 .33144 .61914 .34057 .61639 .3348 .6113 Metetra .645 .763 .934 r .3348 .6113 .34057 .61639 .34973 .61364 .34398 .60853 Metetra .645 .763 .934 r .34398 .60853 .34973 .61364 .35893 .61088 .3532 .60574 Metetra .645 .763 .934 r .3532 .60574 .35893 .61088 .36816 .6081 .36245 .60295 Metetra .645 .763 .934 r .36245 .60295 .36816 .6081 .37742 .60532 .37174 .60015 Metetra .645 .763 .934 r .37174 .60015 .37742 .60532 .38672 .60252 .38106 .59733 Metetra .84 .788 .801 r .38106 .59733 .38672 .60252 .39633 .59287 .39073 .58671 Metetra .926 .735 .624 r .39073 .58671 .39633 .59287 .40691 .55588 .40141 .54962 Metetra .919 .74 .644 r .40141 .54962 .40691 .55588 .41713 .52519 .41169 .51894 Metetra .91 .745 .665 r .41169 .51894 .41713 .52519 .42707 .49953 .42168 .49333 Metetra .9 .751 .687 r .42168 .49333 .42707 .49953 .4368 .4779 .43146 .47176 Metetra .889 .756 .709 r .43146 .47176 .4368 .4779 .44637 .45949 .44107 .45343 Metetra .877 .761 .731 r .44107 .45343 .44637 .45949 .45582 .44369 .45057 .43769 Metetra .864 .766 .752 r .45057 .43769 .45582 .44369 .4652 .42999 .45998 .42404 Metetra .851 .769 .771 r .45998 .42404 .4652 .42999 .47451 .418 .46933 .4121 Metetra .836 .771 .789 r .46933 .4121 .47451 .418 .48379 .40741 .47864 .40154 Metetra .822 .772 .805 r .47864 .40154 .48379 .40741 .49304 .39796 .48792 .39211 Metetra .808 .772 .82 r .48792 .39211 .49304 .39796 .50228 .38946 .49719 .38362 Metetra .795 .772 .832 r .49719 .38362 .50228 .38946 .51152 .38173 .50645 .3759 Metetra .782 .771 .843 r .50645 .3759 .51152 .38173 .52076 .37466 .51572 .36883 Metetra .77 .77 .853 r .51572 .36883 .52076 .37466 .53001 .36813 .525 .3623 Metetra .759 .769 .861 r .525 .3623 .53001 .36813 .53927 .36205 .53429 .35621 Metetra .749 .767 .868 r .53429 .35621 .53927 .36205 .54855 .35636 .5436 .35051 Metetra .74 .765 .874 r .5436 .35051 .54855 .35636 .55786 .35099 .55293 .34513 Metetra .731 .764 .879 r .55293 .34513 .55786 .35099 .56718 .34589 .56228 .34001 Metetra .724 .762 .883 r .56228 .34001 .56718 .34589 .57654 .34102 .57166 .33513 Metetra .717 .76 .886 r .57166 .33513 .57654 .34102 .58592 .33636 .58106 .33045 Metetra .711 .759 .89 r .58106 .33045 .58592 .33636 .59532 .33186 .59049 .32593 Metetra .706 .757 .892 r .59049 .32593 .59532 .33186 .60476 .32751 .59996 .32156 Metetra .701 .756 .894 r .59996 .32156 .60476 .32751 .61423 .32329 .60945 .31732 Metetra .697 .755 .896 r .60945 .31732 .61423 .32329 .62373 .31917 .61897 .31318 Metetra .693 .753 .898 r .61897 .31318 .62373 .31917 .63326 .31514 .62853 .30913 Metetra .69 .752 .899 r .62853 .30913 .63326 .31514 .64283 .3112 .63812 .30516 Metetra .687 .751 .901 r .63812 .30516 .64283 .3112 .65243 .30732 .64775 .30126 Metetra .684 .75 .902 r .64775 .30126 .65243 .30732 .66206 .3035 .6574 .29742 Metetra .682 .749 .903 r .6574 .29742 .66206 .3035 .67173 .29973 .6671 .29363 Metetra .679 .749 .903 r .6671 .29363 .67173 .29973 .68143 .29601 .67682 .28988 Metetra .678 .748 .904 r .67682 .28988 .68143 .29601 .69117 .29232 .68659 .28617 Metetra .676 .747 .905 r .68659 .28617 .69117 .29232 .70094 .28866 .69639 .28249 Metetra .674 .747 .905 r .69639 .28249 .70094 .28866 .71075 .28504 .70622 .27884 Metetra .673 .746 .906 r .70622 .27884 .71075 .28504 .7206 .28143 .71609 .27522 Metetra .672 .746 .906 r .71609 .27522 .7206 .28143 .73048 .27785 .726 .27161 Metetra .671 .745 .906 r .726 .27161 .73048 .27785 .7404 .27428 .73595 .26802 Metetra .67 .745 .907 r .73595 .26802 .7404 .27428 .75036 .27072 .74593 .26444 Metetra .669 .744 .907 r .74593 .26444 .75036 .27072 .76035 .26718 .75595 .26087 Metetra .668 .744 .907 r .75595 .26087 .76035 .26718 .77039 .26364 .76601 .25731 Metetra .667 .744 .908 r .76601 .25731 .77039 .26364 .78046 .26012 .7761 .25376 Metetra .666 .744 .908 r .7761 .25376 .78046 .26012 .79056 .25659 .78624 .25021 Metetra .666 .743 .908 r .78624 .25021 .79056 .25659 .80071 .25307 .79641 .24667 Metetra .665 .743 .908 r .79641 .24667 .80071 .25307 .8109 .24956 .80662 .24313 Metetra .664 .743 .909 r .80662 .24313 .8109 .24956 .82112 .24605 .81688 .23959 Metetra .665 .743 .908 r .232 .43302 .23762 .43821 .24586 .43538 .24026 .43015 Metetra .655 .739 .912 r .24026 .43015 .24586 .43538 .25412 .43268 .24853 .42748 Metetra .534 .702 .948 r .24853 .42748 .25412 .43268 .26228 .43151 .25666 .4268 Metetra .915 .519 .218 r .25666 .4268 .26228 .43151 .26907 .44734 .26311 .44656 Metetra .937 .666 .499 r .26311 .44656 .26907 .44734 .26251 .63313 .25655 .62815 Metetra .645 .763 .934 r .25655 .62815 .26251 .63313 .27143 .63043 .26549 .62544 Metetra .645 .763 .934 r .26549 .62544 .27143 .63043 .28039 .62773 .27446 .62271 Metetra .645 .763 .934 r .27446 .62271 .28039 .62773 .28937 .62502 .28347 .61998 Metetra .645 .763 .934 r .28347 .61998 .28937 .62502 .29839 .62229 .29251 .61724 Metetra .645 .763 .934 r .29251 .61724 .29839 .62229 .30744 .61956 .30158 .61449 Metetra .645 .763 .934 r .30158 .61449 .30744 .61956 .31653 .61682 .31068 .61173 Metetra .645 .763 .934 r .31068 .61173 .31653 .61682 .32565 .61406 .31982 .60896 Metetra .645 .763 .934 r .31982 .60896 .32565 .61406 .3348 .6113 .32899 .60617 Metetra .645 .763 .934 r .32899 .60617 .3348 .6113 .34398 .60853 .3382 .60338 Metetra .645 .763 .934 r .3382 .60338 .34398 .60853 .3532 .60574 .34744 .60058 Metetra .645 .763 .934 r .34744 .60058 .3532 .60574 .36245 .60295 .35671 .59777 Metetra .645 .763 .934 r .35671 .59777 .36245 .60295 .37174 .60015 .36602 .59494 Metetra .645 .763 .934 r .36602 .59494 .37174 .60015 .38106 .59733 .37536 .59211 Metetra .856 .785 .78 r .37536 .59211 .38106 .59733 .39073 .58671 .38513 .57989 Metetra .922 .73 .625 r .38513 .57989 .39073 .58671 .40141 .54962 .39589 .54276 Metetra .914 .734 .645 r .39589 .54276 .40141 .54962 .41169 .51894 .40623 .51215 Metetra .905 .739 .666 r .40623 .51215 .41169 .51894 .42168 .49333 .41628 .48667 Metetra .895 .745 .687 r .41628 .48667 .42168 .49333 .43146 .47176 .4261 .46525 Metetra .884 .75 .709 r .4261 .46525 .43146 .47176 .44107 .45343 .43576 .44705 Metetra .873 .756 .73 r .43576 .44705 .44107 .45343 .45057 .43769 .44529 .43143 Metetra .86 .76 .751 r .44529 .43143 .45057 .43769 .45998 .42404 .45473 .41788 Metetra .847 .764 .771 r .45473 .41788 .45998 .42404 .46933 .4121 .46412 .40601 Metetra .833 .767 .789 r .46412 .40601 .46933 .4121 .47864 .40154 .47346 .39552 Metetra .82 .769 .805 r .47346 .39552 .47864 .40154 .48792 .39211 .48277 .38614 Metetra .806 .77 .819 r .48277 .38614 .48792 .39211 .49719 .38362 .49207 .37768 Metetra .793 .77 .832 r .49207 .37768 .49719 .38362 .50645 .3759 .50136 .36999 Metetra .78 .77 .843 r .50136 .36999 .50645 .3759 .51572 .36883 .51066 .36293 Metetra .769 .769 .853 r .51066 .36293 .51572 .36883 .525 .3623 .51996 .3564 Metetra .758 .768 .861 r .51996 .3564 .525 .3623 .53429 .35621 .52928 .35032 Metetra .748 .766 .868 r .52928 .35032 .53429 .35621 .5436 .35051 .53861 .34461 Metetra .739 .765 .874 r .53861 .34461 .5436 .35051 .55293 .34513 .54797 .33922 Metetra .731 .763 .879 r .54797 .33922 .55293 .34513 .56228 .34001 .55734 .3341 Metetra .723 .762 .883 r .55734 .3341 .56228 .34001 .57166 .33513 .56675 .32921 Metetra .717 .76 .887 r .56675 .32921 .57166 .33513 .58106 .33045 .57617 .32451 Metetra .711 .759 .89 r .57617 .32451 .58106 .33045 .59049 .32593 .58563 .31998 Metetra .706 .758 .892 r .58563 .31998 .59049 .32593 .59996 .32156 .59512 .31559 Metetra .701 .756 .895 r .59512 .31559 .59996 .32156 .60945 .31732 .60464 .31132 Metetra .697 .755 .897 r .60464 .31132 .60945 .31732 .61897 .31318 .61419 .30716 Metetra .693 .754 .898 r .61419 .30716 .61897 .31318 .62853 .30913 .62377 .30309 Metetra .69 .753 .9 r .62377 .30309 .62853 .30913 .63812 .30516 .63338 .2991 Metetra .687 .752 .901 r .63338 .2991 .63812 .30516 .64775 .30126 .64303 .29518 Metetra .684 .751 .902 r .64303 .29518 .64775 .30126 .6574 .29742 .65272 .29132 Metetra .682 .75 .903 r .65272 .29132 .6574 .29742 .6671 .29363 .66243 .2875 Metetra .68 .749 .904 r .66243 .2875 .6671 .29363 .67682 .28988 .67219 .28373 Metetra .678 .749 .904 r .67219 .28373 .67682 .28988 .68659 .28617 .68197 .28 Metetra .676 .748 .905 r .68197 .28 .68659 .28617 .69639 .28249 .6918 .2763 Metetra .674 .747 .906 r .6918 .2763 .69639 .28249 .70622 .27884 .70166 .27262 Metetra .673 .747 .906 r .70166 .27262 .70622 .27884 .71609 .27522 .71156 .26897 Metetra .672 .746 .907 r .71156 .26897 .71609 .27522 .726 .27161 .72149 .26534 Metetra .671 .746 .907 r .72149 .26534 .726 .27161 .73595 .26802 .73146 .26172 Metetra .67 .745 .907 r .73146 .26172 .73595 .26802 .74593 .26444 .74147 .25812 Metetra .669 .745 .908 r .74147 .25812 .74593 .26444 .75595 .26087 .75152 .25453 Metetra .668 .745 .908 r .75152 .25453 .75595 .26087 .76601 .25731 .7616 .25095 Metetra .667 .744 .908 r .7616 .25095 .76601 .25731 .7761 .25376 .77172 .24737 Metetra .666 .744 .908 r .77172 .24737 .7761 .25376 .78624 .25021 .78189 .2438 Metetra .666 .744 .908 r .78189 .2438 .78624 .25021 .79641 .24667 .79209 .24023 Metetra .665 .743 .909 r .79209 .24023 .79641 .24667 .80662 .24313 .80233 .23667 Metetra .664 .743 .909 r .80233 .23667 .80662 .24313 .81688 .23959 .8126 .23311 Metetra .663 .744 .91 r .22635 .42782 .232 .43302 .24026 .43015 .23462 .42498 Metetra .65 .742 .917 r .23462 .42498 .24026 .43015 .24853 .42748 .2429 .42239 Metetra .497 .695 .957 r .2429 .42239 .24853 .42748 .25666 .4268 .251 .4221 Metetra .925 .546 .265 r .251 .4221 .25666 .4268 .26311 .44656 .25718 .4447 Metetra .939 .667 .497 r .25718 .4447 .26311 .44656 .25655 .62815 .25054 .62313 Metetra .645 .763 .934 r .25054 .62313 .25655 .62815 .26549 .62544 .2595 .6204 Metetra .645 .763 .934 r .2595 .6204 .26549 .62544 .27446 .62271 .2685 .61766 Metetra .645 .763 .934 r .2685 .61766 .27446 .62271 .28347 .61998 .27752 .61491 Metetra .645 .763 .934 r .27752 .61491 .28347 .61998 .29251 .61724 .28658 .61215 Metetra .645 .763 .934 r .28658 .61215 .29251 .61724 .30158 .61449 .29567 .60938 Metetra .645 .763 .934 r .29567 .60938 .30158 .61449 .31068 .61173 .3048 .6066 Metetra .645 .763 .934 r .3048 .6066 .31068 .61173 .31982 .60896 .31396 .60381 Metetra .645 .763 .934 r .31396 .60381 .31982 .60896 .32899 .60617 .32315 .60101 Metetra .645 .763 .934 r .32315 .60101 .32899 .60617 .3382 .60338 .33237 .5982 Metetra .645 .763 .934 r .33237 .5982 .3382 .60338 .34744 .60058 .34163 .59538 Metetra .645 .763 .934 r .34163 .59538 .34744 .60058 .35671 .59777 .35093 .59255 Metetra .645 .763 .934 r .35093 .59255 .35671 .59777 .36602 .59494 .36025 .58971 Metetra .645 .763 .934 r .36025 .58971 .36602 .59494 .37536 .59211 .36962 .58685 Metetra .875 .78 .754 r .36962 .58685 .37536 .59211 .38513 .57989 .37954 .57228 Metetra .917 .723 .625 r .37954 .57228 .38513 .57989 .39589 .54276 .39036 .53519 Metetra .908 .727 .645 r .39036 .53519 .39589 .54276 .40623 .51215 .40077 .50477 Metetra .899 .732 .666 r .40077 .50477 .40623 .51215 .41628 .48667 .41086 .47953 Metetra .889 .738 .688 r .41086 .47953 .41628 .48667 .4261 .46525 .42072 .45833 Metetra .879 .744 .709 r .42072 .45833 .4261 .46525 .43576 .44705 .43041 .44034 Metetra .868 .75 .731 r .43041 .44034 .43576 .44705 .44529 .43143 .43998 .4249 Metetra .856 .755 .751 r .43998 .4249 .44529 .43143 .45473 .41788 .44946 .4115 Metetra .843 .76 .771 r .44946 .4115 .45473 .41788 .46412 .40601 .45887 .39975 Metetra .83 .763 .789 r .45887 .39975 .46412 .40601 .47346 .39552 .46824 .38935 Metetra .816 .765 .805 r .46824 .38935 .47346 .39552 .48277 .38614 .47759 .38004 Metetra .803 .767 .819 r .47759 .38004 .48277 .38614 .49207 .37768 .48691 .37164 Metetra .791 .768 .832 r .48691 .37164 .49207 .37768 .50136 .36999 .49623 .36399 Metetra .779 .768 .843 r .49623 .36399 .50136 .36999 .51066 .36293 .50556 .35696 Metetra .767 .767 .853 r .50556 .35696 .51066 .36293 .51996 .3564 .51489 .35045 Metetra .757 .767 .861 r .51489 .35045 .51996 .3564 .52928 .35032 .52423 .34438 Metetra .747 .766 .868 r .52423 .34438 .52928 .35032 .53861 .34461 .53359 .33867 Metetra .738 .764 .874 r .53359 .33867 .53861 .34461 .54797 .33922 .54297 .33328 Metetra .73 .763 .879 r .54297 .33328 .54797 .33922 .55734 .3341 .55237 .32815 Metetra .723 .762 .883 r .55237 .32815 .55734 .3341 .56675 .32921 .5618 .32325 Metetra .717 .76 .887 r .5618 .32325 .56675 .32921 .57617 .32451 .57126 .31853 Metetra .711 .759 .89 r .57126 .31853 .57617 .32451 .58563 .31998 .58074 .31399 Metetra .706 .758 .893 r .58074 .31399 .58563 .31998 .59512 .31559 .59025 .30958 Metetra .701 .757 .895 r .59025 .30958 .59512 .31559 .60464 .31132 .59979 .3053 Metetra .697 .755 .897 r .59979 .3053 .60464 .31132 .61419 .30716 .60937 .30112 Metetra .693 .754 .899 r .60937 .30112 .61419 .30716 .62377 .30309 .61897 .29703 Metetra .69 .753 .9 r .61897 .29703 .62377 .30309 .63338 .2991 .62861 .29302 Metetra .687 .752 .901 r .62861 .29302 .63338 .2991 .64303 .29518 .63829 .28907 Metetra .684 .751 .902 r .63829 .28907 .64303 .29518 .65272 .29132 .648 .28519 Metetra .682 .751 .903 r .648 .28519 .65272 .29132 .66243 .2875 .65774 .28135 Metetra .68 .75 .904 r .65774 .28135 .66243 .2875 .67219 .28373 .66752 .27756 Metetra .678 .749 .905 r .66752 .27756 .67219 .28373 .68197 .28 .67733 .2738 Metetra .676 .748 .905 r .67733 .2738 .68197 .28 .6918 .2763 .68718 .27007 Metetra .674 .748 .906 r .68718 .27007 .6918 .2763 .70166 .27262 .69707 .26637 Metetra .673 .747 .906 r .69707 .26637 .70166 .27262 .71156 .26897 .70699 .2627 Metetra .672 .747 .907 r .70699 .2627 .71156 .26897 .72149 .26534 .71695 .25904 Metetra .671 .746 .907 r .71695 .25904 .72149 .26534 .73146 .26172 .72695 .2554 Metetra .67 .746 .908 r .72695 .2554 .73146 .26172 .74147 .25812 .73698 .25177 Metetra .669 .745 .908 r .73698 .25177 .74147 .25812 .75152 .25453 .74705 .24816 Metetra .668 .745 .908 r .74705 .24816 .75152 .25453 .7616 .25095 .75716 .24455 Metetra .667 .745 .908 r .75716 .24455 .7616 .25095 .77172 .24737 .76731 .24095 Metetra .666 .744 .909 r .76731 .24095 .77172 .24737 .78189 .2438 .7775 .23735 Metetra .666 .744 .909 r .7775 .23735 .78189 .2438 .79209 .24023 .78773 .23376 Metetra .665 .744 .909 r .78773 .23376 .79209 .24023 .80233 .23667 .798 .23017 Metetra .665 .744 .909 r .798 .23017 .80233 .23667 .8126 .23311 .8083 .22658 Metetra .665 .745 .91 r .22066 .42261 .22635 .42782 .23462 .42498 .22895 .4197 Metetra .657 .741 .912 r .22895 .4197 .23462 .42498 .2429 .42239 .23726 .41696 Metetra .492 .679 .949 r .23726 .41696 .2429 .42239 .251 .4221 .24536 .41682 Metetra .929 .551 .258 r .24536 .41682 .251 .4221 .25718 .4447 .25146 .4398 Metetra .943 .672 .494 r .25146 .4398 .25718 .4447 .25054 .62313 .2445 .61808 Metetra .645 .763 .934 r .2445 .61808 .25054 .62313 .2595 .6204 .25348 .61534 Metetra .645 .763 .934 r .25348 .61534 .2595 .6204 .2685 .61766 .26249 .61258 Metetra .645 .763 .934 r .26249 .61258 .2685 .61766 .27752 .61491 .27154 .60981 Metetra .645 .763 .934 r .27154 .60981 .27752 .61491 .28658 .61215 .28062 .60703 Metetra .645 .763 .934 r .28062 .60703 .28658 .61215 .29567 .60938 .28973 .60424 Metetra .645 .763 .934 r .28973 .60424 .29567 .60938 .3048 .6066 .29887 .60144 Metetra .645 .763 .934 r .29887 .60144 .3048 .6066 .31396 .60381 .30805 .59863 Metetra .645 .763 .934 r .30805 .59863 .31396 .60381 .32315 .60101 .31726 .59581 Metetra .645 .763 .934 r .31726 .59581 .32315 .60101 .33237 .5982 .32651 .59298 Metetra .645 .763 .934 r .32651 .59298 .33237 .5982 .34163 .59538 .33579 .59014 Metetra .645 .763 .934 r .33579 .59014 .34163 .59538 .35093 .59255 .3451 .58729 Metetra .645 .763 .934 r .3451 .58729 .35093 .59255 .36025 .58971 .35445 .58443 Metetra .645 .763 .934 r .35445 .58443 .36025 .58971 .36962 .58685 .36384 .58156 Metetra .893 .773 .723 r .36384 .58156 .36962 .58685 .37954 .57228 .37395 .56367 Metetra .91 .715 .626 r .37395 .56367 .37954 .57228 .39036 .53519 .38484 .52683 Metetra .901 .719 .646 r .38484 .52683 .39036 .53519 .40077 .50477 .3953 .49675 Metetra .893 .725 .667 r .3953 .49675 .40077 .50477 .41086 .47953 .40543 .47186 Metetra .883 .731 .688 r .40543 .47186 .41086 .47953 .42072 .45833 .41533 .451 Metetra .873 .738 .71 r .41533 .451 .42072 .45833 .43041 .44034 .42505 .43329 Metetra .862 .744 .731 r .42505 .43329 .43041 .44034 .43998 .4249 .43465 .41809 Metetra .851 .75 .752 r .43465 .41809 .43998 .4249 .44946 .4115 .44416 .40489 Metetra .838 .755 .771 r .44416 .40489 .44946 .4115 .45887 .39975 .4536 .3933 Metetra .826 .759 .789 r .4536 .3933 .45887 .39975 .46824 .38935 .463 .38303 Metetra .813 .762 .805 r .463 .38303 .46824 .38935 .47759 .38004 .47237 .37382 Metetra .801 .764 .819 r .47237 .37382 .47759 .38004 .48691 .37164 .48173 .3655 Metetra .788 .765 .832 r .48173 .3655 .48691 .37164 .49623 .36399 .49107 .3579 Metetra .777 .766 .843 r .49107 .3579 .49623 .36399 .50556 .35696 .50042 .35091 Metetra .766 .766 .853 r .50042 .35091 .50556 .35696 .51489 .35045 .50978 .34443 Metetra .755 .766 .861 r .50978 .34443 .51489 .35045 .52423 .34438 .51915 .33838 Metetra .746 .765 .868 r .51915 .33838 .52423 .34438 .53359 .33867 .52854 .33268 Metetra .737 .764 .874 r .52854 .33268 .53359 .33867 .54297 .33328 .53794 .32729 Metetra .73 .763 .879 r .53794 .32729 .54297 .33328 .55237 .32815 .54737 .32216 Metetra .723 .762 .884 r .54737 .32216 .55237 .32815 .5618 .32325 .55682 .31725 Metetra .716 .76 .887 r .55682 .31725 .5618 .32325 .57126 .31853 .5663 .31253 Metetra .71 .759 .89 r .5663 .31253 .57126 .31853 .58074 .31399 .57581 .30797 Metetra .705 .758 .893 r .57581 .30797 .58074 .31399 .59025 .30958 .58535 .30355 Metetra .701 .757 .895 r .58535 .30355 .59025 .30958 .59979 .3053 .59492 .29925 Metetra .697 .756 .897 r .59492 .29925 .59979 .3053 .60937 .30112 .60452 .29505 Metetra .693 .755 .899 r .60452 .29505 .60937 .30112 .61897 .29703 .61415 .29094 Metetra .69 .754 .901 r .61415 .29094 .61897 .29703 .62861 .29302 .62381 .28691 Metetra .687 .753 .902 r .62381 .28691 .62861 .29302 .63829 .28907 .63351 .28294 Metetra .684 .752 .903 r .63351 .28294 .63829 .28907 .648 .28519 .64324 .27903 Metetra .682 .751 .904 r .64324 .27903 .648 .28519 .65774 .28135 .65301 .27517 Metetra .68 .75 .905 r .65301 .27517 .65774 .28135 .66752 .27756 .66282 .27135 Metetra .678 .75 .905 r .66282 .27135 .66752 .27756 .67733 .2738 .67265 .26757 Metetra .676 .749 .906 r .67265 .26757 .67733 .2738 .68718 .27007 .68253 .26382 Metetra .675 .748 .906 r .68253 .26382 .68718 .27007 .69707 .26637 .69244 .2601 Metetra .673 .748 .907 r .69244 .2601 .69707 .26637 .70699 .2627 .70239 .2564 Metetra .672 .747 .907 r .70239 .2564 .70699 .2627 .71695 .25904 .71238 .25271 Metetra .671 .747 .908 r .71238 .25271 .71695 .25904 .72695 .2554 .7224 .24905 Metetra .67 .746 .908 r .7224 .24905 .72695 .2554 .73698 .25177 .73246 .2454 Metetra .669 .746 .908 r .73246 .2454 .73698 .25177 .74705 .24816 .74256 .24175 Metetra .668 .746 .908 r .74256 .24175 .74705 .24816 .75716 .24455 .7527 .23812 Metetra .667 .745 .909 r .7527 .23812 .75716 .24455 .76731 .24095 .76287 .23449 Metetra .666 .745 .909 r .76287 .23449 .76731 .24095 .7775 .23735 .77309 .23087 Metetra .666 .745 .909 r .77309 .23087 .7775 .23735 .78773 .23376 .78334 .22725 Metetra .665 .744 .909 r .78334 .22725 .78773 .23376 .798 .23017 .79364 .22364 Metetra .665 .744 .909 r .79364 .22364 .798 .23017 .8083 .22658 .80397 .22002 Metetra .667 .746 .91 r .21493 .41739 .22066 .42261 .22895 .4197 .22324 .41442 Metetra .658 .742 .912 r .22324 .41442 .22895 .4197 .23726 .41696 .23157 .41163 Metetra .478 .679 .954 r .23157 .41163 .23726 .41696 .24536 .41682 .23967 .41159 Metetra .927 .547 .253 r .23967 .41159 .24536 .41682 .25146 .4398 .24578 .43411 Metetra .944 .673 .493 r .24578 .43411 .25146 .4398 .2445 .61808 .23842 .613 Metetra .645 .763 .934 r .23842 .613 .2445 .61808 .25348 .61534 .24742 .61024 Metetra .645 .763 .934 r .24742 .61024 .25348 .61534 .26249 .61258 .25645 .60746 Metetra .645 .763 .934 r .25645 .60746 .26249 .61258 .27154 .60981 .26551 .60467 Metetra .645 .763 .934 r .26551 .60467 .27154 .60981 .28062 .60703 .27461 .60187 Metetra .645 .763 .934 r .27461 .60187 .28062 .60703 .28973 .60424 .28374 .59907 Metetra .645 .763 .934 r .28374 .59907 .28973 .60424 .29887 .60144 .29291 .59625 Metetra .645 .763 .934 r .29291 .59625 .29887 .60144 .30805 .59863 .3021 .59342 Metetra .645 .763 .934 r .3021 .59342 .30805 .59863 .31726 .59581 .31134 .59058 Metetra .645 .763 .934 r .31134 .59058 .31726 .59581 .32651 .59298 .3206 .58773 Metetra .645 .763 .934 r .3206 .58773 .32651 .59298 .33579 .59014 .3299 .58487 Metetra .645 .763 .934 r .3299 .58487 .33579 .59014 .3451 .58729 .33924 .582 Metetra .645 .763 .934 r .33924 .582 .3451 .58729 .35445 .58443 .34861 .57912 Metetra .645 .763 .934 r .34861 .57912 .35445 .58443 .36384 .58156 .35802 .57623 Metetra .908 .765 .691 r .35802 .57623 .36384 .58156 .37395 .56367 .36839 .5539 Metetra .902 .706 .628 r .36839 .5539 .37395 .56367 .38484 .52683 .37933 .51757 Metetra .893 .711 .647 r .37933 .51757 .38484 .52683 .3953 .49675 .38982 .48804 Metetra .885 .717 .668 r .38982 .48804 .3953 .49675 .40543 .47186 .39999 .46365 Metetra .876 .724 .69 r .39999 .46365 .40543 .47186 .41533 .451 .40991 .44324 Metetra .866 .731 .711 r .40991 .44324 .41533 .451 .42505 .43329 .41967 .42591 Metetra .856 .738 .732 r .41967 .42591 .42505 .43329 .43465 .41809 .42929 .41101 Metetra .845 .745 .753 r .42929 .41101 .43465 .41809 .44416 .40489 .43883 .39807 Metetra .833 .75 .772 r .43883 .39807 .44416 .40489 .4536 .3933 .4483 .38668 Metetra .821 .755 .79 r .4483 .38668 .4536 .3933 .463 .38303 .45773 .37656 Metetra .809 .759 .806 r .45773 .37656 .463 .38303 .47237 .37382 .46712 .36748 Metetra .797 .761 .82 r .46712 .36748 .47237 .37382 .48173 .3655 .47651 .35925 Metetra .786 .763 .833 r .47651 .35925 .48173 .3655 .49107 .3579 .48588 .35173 Metetra .774 .764 .844 r .48588 .35173 .49107 .3579 .50042 .35091 .49526 .34479 Metetra .764 .765 .853 r .49526 .34479 .50042 .35091 .50978 .34443 .50464 .33835 Metetra .754 .764 .861 r .50464 .33835 .50978 .34443 .51915 .33838 .51404 .33232 Metetra .745 .764 .869 r .51404 .33232 .51915 .33838 .52854 .33268 .52345 .32664 Metetra .736 .763 .875 r .52345 .32664 .52854 .33268 .53794 .32729 .53288 .32126 Metetra .729 .762 .88 r .53288 .32126 .53794 .32729 .54737 .32216 .54234 .31613 Metetra .722 .761 .884 r .54234 .31613 .54737 .32216 .55682 .31725 .55181 .31122 Metetra .716 .76 .888 r .55181 .31122 .55682 .31725 .5663 .31253 .56132 .30649 Metetra .71 .759 .891 r .56132 .30649 .5663 .31253 .57581 .30797 .57085 .30192 Metetra .705 .758 .894 r .57085 .30192 .57581 .30797 .58535 .30355 .58041 .29748 Metetra .701 .757 .896 r .58041 .29748 .58535 .30355 .59492 .29925 .59001 .29316 Metetra .696 .756 .898 r .59001 .29316 .59492 .29925 .60452 .29505 .59963 .28895 Metetra .693 .755 .899 r .59963 .28895 .60452 .29505 .61415 .29094 .60929 .28482 Metetra .69 .754 .901 r .60929 .28482 .61415 .29094 .62381 .28691 .61898 .28076 Metetra .687 .753 .902 r .61898 .28076 .62381 .28691 .63351 .28294 .6287 .27678 Metetra .684 .752 .903 r .6287 .27678 .63351 .28294 .64324 .27903 .63846 .27284 Metetra .682 .752 .904 r .63846 .27284 .64324 .27903 .65301 .27517 .64825 .26896 Metetra .68 .751 .905 r .64825 .26896 .65301 .27517 .66282 .27135 .65808 .26512 Metetra .678 .75 .906 r .65808 .26512 .66282 .27135 .67265 .26757 .66795 .26131 Metetra .676 .75 .906 r .66795 .26131 .67265 .26757 .68253 .26382 .67785 .25754 Metetra .675 .749 .907 r .67785 .25754 .68253 .26382 .69244 .2601 .68779 .25379 Metetra .673 .748 .907 r .68779 .25379 .69244 .2601 .70239 .2564 .69776 .25006 Metetra .672 .748 .908 r .69776 .25006 .70239 .2564 .71238 .25271 .70777 .24636 Metetra .671 .747 .908 r .70777 .24636 .71238 .25271 .7224 .24905 .71782 .24266 Metetra .67 .747 .908 r .71782 .24266 .7224 .24905 .73246 .2454 .72791 .23899 Metetra .669 .746 .908 r .72791 .23899 .73246 .2454 .74256 .24175 .73804 .23532 Metetra .668 .746 .909 r .73804 .23532 .74256 .24175 .7527 .23812 .7482 .23166 Metetra .667 .746 .909 r .7482 .23166 .7527 .23812 .76287 .23449 .75841 .22801 Metetra .667 .745 .909 r .75841 .22801 .76287 .23449 .77309 .23087 .76865 .22436 Metetra .666 .745 .909 r .76865 .22436 .77309 .23087 .78334 .22725 .77893 .22071 Metetra .665 .745 .909 r .77893 .22071 .78334 .22725 .79364 .22364 .78925 .21706 Metetra .665 .744 .909 r .78925 .21706 .79364 .22364 .80397 .22002 .79961 .21342 Metetra .664 .748 .913 r .20915 .41222 .21493 .41739 .22324 .41442 .21748 .40929 Metetra .65 .747 .921 r .21748 .40929 .22324 .41442 .23157 .41163 .22581 .40665 Metetra .497 .703 .962 r .22581 .40665 .23157 .41163 .23967 .41159 .23395 .40625 Metetra .916 .517 .2 r .23395 .40625 .23967 .41159 .24578 .43411 .24029 .4259 Metetra .948 .677 .491 r .24029 .4259 .24578 .43411 .23842 .613 .23229 .60789 Metetra .645 .763 .934 r .23229 .60789 .23842 .613 .24742 .61024 .24131 .6051 Metetra .645 .763 .934 r .24131 .6051 .24742 .61024 .25645 .60746 .25036 .60231 Metetra .645 .763 .934 r .25036 .60231 .25645 .60746 .26551 .60467 .25945 .5995 Metetra .645 .763 .934 r .25945 .5995 .26551 .60467 .27461 .60187 .26856 .59668 Metetra .645 .763 .934 r .26856 .59668 .27461 .60187 .28374 .59907 .27771 .59386 Metetra .645 .763 .934 r .27771 .59386 .28374 .59907 .29291 .59625 .2869 .59102 Metetra .645 .763 .934 r .2869 .59102 .29291 .59625 .3021 .59342 .29612 .58817 Metetra .645 .763 .934 r .29612 .58817 .3021 .59342 .31134 .59058 .30537 .58531 Metetra .645 .763 .934 r .30537 .58531 .31134 .59058 .3206 .58773 .31466 .58244 Metetra .645 .763 .934 r .31466 .58244 .3206 .58773 .3299 .58487 .32398 .57956 Metetra .645 .763 .934 r .32398 .57956 .3299 .58487 .33924 .582 .33334 .57667 Metetra .645 .763 .934 r .33334 .57667 .33924 .582 .34861 .57912 .34273 .57377 Metetra .645 .763 .934 r .34273 .57377 .34861 .57912 .35802 .57623 .35215 .57086 Metetra .921 .755 .66 r .35215 .57086 .35802 .57623 .36839 .5539 .36288 .5428 Metetra .892 .695 .629 r .36288 .5428 .36839 .5539 .37933 .51757 .37384 .50733 Metetra .884 .701 .649 r .37384 .50733 .37933 .51757 .38982 .48804 .38436 .47859 Metetra .876 .708 .67 r .38436 .47859 .38982 .48804 .39999 .46365 .39454 .45489 Metetra .868 .716 .691 r .39454 .45489 .39999 .46365 .40991 .44324 .40449 .43504 Metetra .859 .724 .713 r .40449 .43504 .40991 .44324 .41967 .42591 .41426 .41818 Metetra .849 .732 .734 r .41426 .41818 .41967 .42591 .42929 .41101 .42391 .40367 Metetra .839 .739 .754 r .42391 .40367 .42929 .41101 .43883 .39807 .43347 .39102 Metetra .828 .746 .773 r .43347 .39102 .43883 .39807 .4483 .38668 .44297 .37988 Metetra .817 .751 .791 r .44297 .37988 .4483 .38668 .45773 .37656 .45242 .36995 Metetra .805 .755 .807 r .45242 .36995 .45773 .37656 .46712 .36748 .46185 .36102 Metetra .794 .758 .821 r .46185 .36102 .46712 .36748 .47651 .35925 .47125 .3529 Metetra .783 .761 .833 r .47125 .3529 .47651 .35925 .48588 .35173 .48066 .34547 Metetra .772 .762 .844 r .48066 .34547 .48588 .35173 .49526 .34479 .49006 .3386 Metetra .762 .763 .854 r .49006 .3386 .49526 .34479 .50464 .33835 .49947 .33221 Metetra .752 .763 .862 r .49947 .33221 .50464 .33835 .51404 .33232 .50889 .32621 Metetra .743 .763 .869 r .50889 .32621 .51404 .33232 .52345 .32664 .51833 .32055 Metetra .735 .763 .875 r .51833 .32055 .52345 .32664 .53288 .32126 .52779 .31519 Metetra .728 .762 .88 r .52779 .31519 .53288 .32126 .54234 .31613 .53727 .31006 Metetra .721 .761 .884 r .53727 .31006 .54234 .31613 .55181 .31122 .54677 .30515 Metetra .715 .76 .888 r .54677 .30515 .55181 .31122 .56132 .30649 .5563 .30041 Metetra .71 .759 .891 r .5563 .30041 .56132 .30649 .57085 .30192 .56586 .29583 Metetra .705 .758 .894 r .56586 .29583 .57085 .30192 .58041 .29748 .57545 .29138 Metetra .7 .757 .896 r .57545 .29138 .58041 .29748 .59001 .29316 .58506 .28705 Metetra .696 .756 .898 r .58506 .28705 .59001 .29316 .59963 .28895 .59471 .28282 Metetra .693 .755 .9 r .59471 .28282 .59963 .28895 .60929 .28482 .6044 .27867 Metetra .69 .755 .901 r .6044 .27867 .60929 .28482 .61898 .28076 .61411 .27459 Metetra .687 .754 .903 r .61411 .27459 .61898 .28076 .6287 .27678 .62386 .27058 Metetra .684 .753 .904 r .62386 .27058 .6287 .27678 .63846 .27284 .63365 .26663 Metetra .682 .752 .904 r .63365 .26663 .63846 .27284 .64825 .26896 .64346 .26272 Metetra .68 .751 .905 r .64346 .26272 .64825 .26896 .65808 .26512 .65332 .25885 Metetra .678 .751 .906 r .65332 .25885 .65808 .26512 .66795 .26131 .66321 .25502 Metetra .676 .75 .907 r .66321 .25502 .66795 .26131 .67785 .25754 .67314 .25122 Metetra .675 .749 .907 r .67314 .25122 .67785 .25754 .68779 .25379 .6831 .24745 Metetra .673 .749 .908 r .6831 .24745 .68779 .25379 .69776 .25006 .6931 .2437 Metetra .672 .748 .908 r .6931 .2437 .69776 .25006 .70777 .24636 .70314 .23997 Metetra .671 .748 .908 r .70314 .23997 .70777 .24636 .71782 .24266 .71322 .23625 Metetra .67 .747 .909 r .71322 .23625 .71782 .24266 .72791 .23899 .72333 .23254 Metetra .669 .747 .909 r .72333 .23254 .72791 .23899 .73804 .23532 .73348 .22885 Metetra .668 .746 .909 r .73348 .22885 .73804 .23532 .7482 .23166 .74367 .22516 Metetra .667 .746 .909 r .74367 .22516 .7482 .23166 .75841 .22801 .75391 .22148 Metetra .667 .746 .909 r .75391 .22148 .75841 .22801 .76865 .22436 .76418 .2178 Metetra .666 .745 .909 r .76418 .2178 .76865 .22436 .77893 .22071 .77449 .21413 Metetra .665 .745 .91 r .77449 .21413 .77893 .22071 .78925 .21706 .78483 .21046 Metetra .665 .745 .91 r .78483 .21046 .78925 .21706 .79961 .21342 .79522 .20678 Metetra .667 .752 .914 r .20334 .40708 .20915 .41222 .21748 .40929 .21169 .40408 Metetra .673 .751 .909 r .21169 .40408 .21748 .40929 .22581 .40665 .22008 .40092 Metetra .574 .702 .929 r .22008 .40092 .22581 .40665 .23395 .40625 .22831 .39966 Metetra .886 .463 .071 r .22831 .39966 .23395 .40625 .24029 .4259 .23491 .41626 Metetra .95 .679 .488 r .23491 .41626 .24029 .4259 .23229 .60789 .22744 .58834 Metetra .112 .163 .637 r .22744 .58834 .23229 .60789 .24131 .6051 .23516 .59993 Metetra .645 .763 .934 r .23516 .59993 .24131 .6051 .25036 .60231 .24423 .59712 Metetra .645 .763 .934 r .24423 .59712 .25036 .60231 .25945 .5995 .25334 .59429 Metetra .645 .763 .934 r .25334 .59429 .25945 .5995 .26856 .59668 .26248 .59146 Metetra .645 .763 .934 r .26248 .59146 .26856 .59668 .27771 .59386 .27165 .58861 Metetra .645 .763 .934 r .27165 .58861 .27771 .59386 .2869 .59102 .28085 .58575 Metetra .645 .763 .934 r .28085 .58575 .2869 .59102 .29612 .58817 .29009 .58289 Metetra .645 .763 .934 r .29009 .58289 .29612 .58817 .30537 .58531 .29936 .58001 Metetra .645 .763 .934 r .29936 .58001 .30537 .58531 .31466 .58244 .30867 .57712 Metetra .645 .763 .934 r .30867 .57712 .31466 .58244 .32398 .57956 .31802 .57422 Metetra .645 .763 .934 r .31802 .57422 .32398 .57956 .33334 .57667 .32739 .57131 Metetra .645 .763 .934 r .32739 .57131 .33334 .57667 .34273 .57377 .33681 .56839 Metetra .645 .763 .934 r .33681 .56839 .34273 .57377 .35215 .57086 .34625 .56546 Metetra .93 .746 .632 r .34625 .56546 .35215 .57086 .36288 .5428 .35742 .53028 Metetra .881 .683 .632 r .35742 .53028 .36288 .5428 .37384 .50733 .36838 .49607 Metetra .874 .691 .652 r .36838 .49607 .37384 .50733 .38436 .47859 .3789 .46839 Metetra .867 .699 .672 r .3789 .46839 .38436 .47859 .39454 .45489 .38909 .44556 Metetra .859 .708 .694 r .38909 .44556 .39454 .45489 .40449 .43504 .39905 .42642 Metetra .851 .717 .715 r .39905 .42642 .40449 .43504 .41426 .41818 .40884 .41012 Metetra .842 .726 .736 r .40884 .41012 .41426 .41818 .42391 .40367 .41851 .39606 Metetra .833 .734 .756 r .41851 .39606 .42391 .40367 .43347 .39102 .42809 .38377 Metetra .822 .741 .775 r .42809 .38377 .43347 .39102 .44297 .37988 .43761 .37291 Metetra .812 .747 .792 r .43761 .37291 .44297 .37988 .45242 .36995 .44709 .3632 Metetra .801 .752 .808 r .44709 .3632 .45242 .36995 .46185 .36102 .45654 .35444 Metetra .79 .756 .822 r .45654 .35444 .46185 .36102 .47125 .3529 .46597 .34646 Metetra .779 .758 .834 r .46597 .34646 .47125 .3529 .48066 .34547 .4754 .33913 Metetra .769 .76 .845 r .4754 .33913 .48066 .34547 .49006 .3386 .48483 .33233 Metetra .759 .761 .854 r .48483 .33233 .49006 .3386 .49947 .33221 .49426 .326 Metetra .75 .762 .863 r .49426 .326 .49947 .33221 .50889 .32621 .50371 .32004 Metetra .742 .762 .869 r .50371 .32004 .50889 .32621 .51833 .32055 .51317 .31442 Metetra .734 .762 .875 r .51317 .31442 .51833 .32055 .52779 .31519 .52266 .30906 Metetra .727 .762 .88 r .52266 .30906 .52779 .31519 .53727 .31006 .53216 .30395 Metetra .72 .761 .885 r .53216 .30395 .53727 .31006 .54677 .30515 .54169 .29904 Metetra .714 .76 .888 r .54169 .29904 .54677 .30515 .5563 .30041 .55125 .2943 Metetra .709 .759 .892 r .55125 .2943 .5563 .30041 .56586 .29583 .56083 .28971 Metetra .704 .758 .894 r .56083 .28971 .56586 .29583 .57545 .29138 .57045 .28525 Metetra .7 .758 .897 r .57045 .28525 .57545 .29138 .58506 .28705 .58009 .2809 Metetra .696 .757 .899 r .58009 .2809 .58506 .28705 .59471 .28282 .58976 .27665 Metetra .693 .756 .9 r .58976 .27665 .59471 .28282 .6044 .27867 .59947 .27248 Metetra .689 .755 .902 r .59947 .27248 .6044 .27867 .61411 .27459 .60921 .26839 Metetra .687 .754 .903 r .60921 .26839 .61411 .27459 .62386 .27058 .61899 .26436 Metetra .684 .753 .904 r .61899 .26436 .62386 .27058 .63365 .26663 .6288 .26038 Metetra .682 .753 .905 r .6288 .26038 .63365 .26663 .64346 .26272 .63864 .25645 Metetra .68 .752 .906 r .63864 .25645 .64346 .26272 .65332 .25885 .64852 .25256 Metetra .678 .751 .906 r .64852 .25256 .65332 .25885 .66321 .25502 .65844 .2487 Metetra .676 .75 .907 r .65844 .2487 .66321 .25502 .67314 .25122 .66839 .24488 Metetra .675 .75 .907 r .66839 .24488 .67314 .25122 .6831 .24745 .67838 .24108 Metetra .673 .749 .908 r .67838 .24108 .6831 .24745 .6931 .2437 .68841 .2373 Metetra .672 .749 .908 r .68841 .2373 .6931 .2437 .70314 .23997 .69847 .23354 Metetra .671 .748 .909 r .69847 .23354 .70314 .23997 .71322 .23625 .70858 .2298 Metetra .67 .748 .909 r .70858 .2298 .71322 .23625 .72333 .23254 .71872 .22607 Metetra .669 .747 .909 r .71872 .22607 .72333 .23254 .73348 .22885 .7289 .22234 Metetra .668 .747 .909 r .7289 .22234 .73348 .22885 .74367 .22516 .73912 .21863 Metetra .667 .747 .909 r .73912 .21863 .74367 .22516 .75391 .22148 .74937 .21492 Metetra .667 .746 .91 r .74937 .21492 .75391 .22148 .76418 .2178 .75967 .21122 Metetra .666 .746 .91 r .75967 .21122 .76418 .2178 .77449 .21413 .77001 .20751 Metetra .666 .745 .91 r .77001 .20751 .77449 .21413 .78483 .21046 .78039 .20381 Metetra .665 .745 .91 r .78039 .20381 .78483 .21046 .79522 .20678 .7908 .20011 Metetra .668 .757 .917 r .19747 .40204 .20334 .40708 .21169 .40408 .20584 .39901 Metetra .667 .757 .917 r .20584 .39901 .21169 .40408 .22008 .40092 .21423 .39597 Metetra .553 .729 .957 r .21423 .39597 .22008 .40092 .22831 .39966 .22247 .39483 Metetra .854 .397 .035 r .22247 .39483 .22831 .39966 .23491 .41626 .22934 .40829 Metetra .949 .673 .48 r .22934 .40829 .23491 .41626 .22744 .58834 .2251 .54207 Metetra 0 0 .161 r .2251 .54207 .22744 .58834 .23516 .59993 .22898 .59473 Metetra .645 .763 .934 r .22898 .59473 .23516 .59993 .24423 .59712 .23807 .59189 Metetra .645 .763 .934 r .23807 .59189 .24423 .59712 .25334 .59429 .24719 .58905 Metetra .645 .763 .934 r .24719 .58905 .25334 .59429 .26248 .59146 .25635 .58619 Metetra .645 .763 .934 r .25635 .58619 .26248 .59146 .27165 .58861 .26554 .58333 Metetra .645 .763 .934 r .26554 .58333 .27165 .58861 .28085 .58575 .27476 .58045 Metetra .645 .763 .934 r .27476 .58045 .28085 .58575 .29009 .58289 .28402 .57756 Metetra .645 .763 .934 r .28402 .57756 .29009 .58289 .29936 .58001 .29332 .57467 Metetra .645 .763 .934 r .29332 .57467 .29936 .58001 .30867 .57712 .30264 .57176 Metetra .645 .763 .934 r .30264 .57176 .30867 .57712 .31802 .57422 .31201 .56884 Metetra .645 .763 .934 r .31201 .56884 .31802 .57422 .32739 .57131 .32141 .56591 Metetra .645 .763 .934 r .32141 .56591 .32739 .57131 .33681 .56839 .33084 .56297 Metetra .743 .784 .886 r .33084 .56297 .33681 .56839 .34625 .56546 .34046 .55739 Metetra .919 .719 .617 r .34046 .55739 .34625 .56546 .35742 .53028 .35202 .51632 Metetra .868 .671 .635 r .35202 .51632 .35742 .53028 .36838 .49607 .36295 .48381 Metetra .862 .68 .654 r .36295 .48381 .36838 .49607 .3789 .46839 .37345 .45747 Metetra .856 .69 .675 r .37345 .45747 .3789 .46839 .38909 .44556 .38364 .4357 Metetra .85 .7 .696 r .38364 .4357 .38909 .44556 .39905 .42642 .3936 .41739 Metetra .842 .711 .718 r .3936 .41739 .39905 .42642 .40884 .41012 .4034 .40175 Metetra .834 .72 .738 r .4034 .40175 .40884 .41012 .41851 .39606 .41309 .38821 Metetra .826 .729 .758 r .41309 .38821 .41851 .39606 .42809 .38377 .42269 .37632 Metetra .816 .737 .777 r .42269 .37632 .42809 .38377 .43761 .37291 .43223 .36577 Metetra .806 .743 .794 r .43223 .36577 .43761 .37291 .44709 .3632 .44172 .35632 Metetra .796 .749 .809 r .44172 .35632 .44709 .3632 .45654 .35444 .4512 .34775 Metetra .786 .753 .823 r .4512 .34775 .45654 .35444 .46597 .34646 .46065 .33992 Metetra .776 .756 .835 r .46065 .33992 .46597 .34646 .4754 .33913 .47011 .3327 Metetra .766 .758 .846 r .47011 .3327 .4754 .33913 .48483 .33233 .47956 .326 Metetra .757 .76 .855 r .47956 .326 .48483 .33233 .49426 .326 .48902 .31972 Metetra .748 .761 .863 r .48902 .31972 .49426 .326 .50371 .32004 .49849 .31382 Metetra .74 .761 .87 r .49849 .31382 .50371 .32004 .51317 .31442 .50798 .30822 Metetra .732 .761 .876 r .50798 .30822 .51317 .31442 .52266 .30906 .51749 .3029 Metetra .726 .761 .881 r .51749 .3029 .52266 .30906 .53216 .30395 .52702 .29779 Metetra .719 .761 .885 r .52702 .29779 .53216 .30395 .54169 .29904 .53658 .29289 Metetra .714 .76 .889 r .53658 .29289 .54169 .29904 .55125 .2943 .54616 .28815 Metetra .708 .759 .892 r .54616 .28815 .55125 .2943 .56083 .28971 .55577 .28355 Metetra .704 .759 .895 r .55577 .28355 .56083 .28971 .57045 .28525 .56541 .27908 Metetra .7 .758 .897 r .56541 .27908 .57045 .28525 .58009 .2809 .57508 .27472 Metetra .696 .757 .899 r .57508 .27472 .58009 .2809 .58976 .27665 .58478 .27045 Metetra .692 .756 .901 r .58478 .27045 .58976 .27665 .59947 .27248 .59451 .26627 Metetra .689 .755 .902 r .59451 .26627 .59947 .27248 .60921 .26839 .60428 .26215 Metetra .687 .754 .903 r .60428 .26215 .60921 .26839 .61899 .26436 .61408 .2581 Metetra .684 .754 .904 r .61408 .2581 .61899 .26436 .6288 .26038 .62392 .2541 Metetra .682 .753 .905 r .62392 .2541 .6288 .26038 .63864 .25645 .63379 .25015 Metetra .68 .752 .906 r .63379 .25015 .63864 .25645 .64852 .25256 .64369 .24623 Metetra .678 .752 .907 r .64369 .24623 .64852 .25256 .65844 .2487 .65364 .24235 Metetra .676 .751 .907 r .65364 .24235 .65844 .2487 .66839 .24488 .66361 .2385 Metetra .675 .75 .908 r .66361 .2385 .66839 .24488 .67838 .24108 .67363 .23467 Metetra .673 .75 .908 r .67363 .23467 .67838 .24108 .68841 .2373 .68368 .23087 Metetra .672 .749 .908 r .68368 .23087 .68841 .2373 .69847 .23354 .69378 .22708 Metetra .671 .749 .909 r .69378 .22708 .69847 .23354 .70858 .2298 .70391 .22331 Metetra .67 .748 .909 r .70391 .22331 .70858 .2298 .71872 .22607 .71407 .21955 Metetra .669 .748 .909 r .71407 .21955 .71872 .22607 .7289 .22234 .72428 .2158 Metetra .668 .747 .909 r .72428 .2158 .7289 .22234 .73912 .21863 .73453 .21206 Metetra .668 .747 .91 r .73453 .21206 .73912 .21863 .74937 .21492 .74481 .20832 Metetra .667 .747 .91 r .74481 .20832 .74937 .21492 .75967 .21122 .75514 .20459 Metetra .666 .746 .91 r .75514 .20459 .75967 .21122 .77001 .20751 .7655 .20086 Metetra .666 .746 .91 r .7655 .20086 .77001 .20751 .78039 .20381 .77591 .19713 Metetra .665 .745 .91 r .77591 .19713 .78039 .20381 .7908 .20011 .78635 .1934 Metetra .662 .765 .926 r .19154 .39719 .19747 .40204 .20584 .39901 .19991 .39424 Metetra .654 .767 .932 r .19991 .39424 .20584 .39901 .21423 .39597 .2083 .39144 Metetra .595 .762 .959 r .2083 .39144 .21423 .39597 .22247 .39483 .21662 .3896 Metetra .686 .176 0 r .21662 .3896 .22247 .39483 .22934 .40829 .2239 .39872 Metetra .955 .672 .461 r .2239 .39872 .22934 .40829 .2251 .54207 .2226 .49866 Metetra .957 .715 .264 r .2226 .49866 .2251 .54207 .22898 .59473 .22274 .58949 Metetra .645 .763 .934 r .22274 .58949 .22898 .59473 .23807 .59189 .23185 .58663 Metetra .645 .763 .934 r .23185 .58663 .23807 .59189 .24719 .58905 .241 .58377 Metetra .645 .763 .934 r .241 .58377 .24719 .58905 .25635 .58619 .25017 .58089 Metetra .645 .763 .934 r .25017 .58089 .25635 .58619 .26554 .58333 .25939 .57801 Metetra .645 .763 .934 r .25939 .57801 .26554 .58333 .27476 .58045 .26863 .57511 Metetra .645 .763 .934 r .26863 .57511 .27476 .58045 .28402 .57756 .27791 .57221 Metetra .645 .763 .934 r .27791 .57221 .28402 .57756 .29332 .57467 .28723 .56929 Metetra .645 .763 .934 r .28723 .56929 .29332 .57467 .30264 .57176 .29658 .56636 Metetra .645 .763 .934 r .29658 .56636 .30264 .57176 .31201 .56884 .30596 .56342 Metetra .645 .763 .934 r .30596 .56342 .31201 .56884 .32141 .56591 .31538 .56047 Metetra .645 .763 .934 r .31538 .56047 .32141 .56591 .33084 .56297 .32484 .55751 Metetra .892 .772 .722 r .32484 .55751 .33084 .56297 .34046 .55739 .33523 .5393 Metetra .857 .649 .619 r .33523 .5393 .34046 .55739 .35202 .51632 .34669 .50103 Metetra .853 .658 .638 r .34669 .50103 .35202 .51632 .36295 .48381 .35756 .47063 Metetra .849 .669 .658 r .35756 .47063 .36295 .48381 .37345 .45747 .36802 .4459 Metetra .845 .681 .679 r .36802 .4459 .37345 .45747 .38364 .4357 .37818 .42536 Metetra .84 .693 .7 r .37818 .42536 .38364 .4357 .3936 .41739 .38814 .408 Metetra .833 .704 .721 r .38814 .408 .3936 .41739 .4034 .40175 .39795 .3931 Metetra .826 .715 .742 r .39795 .3931 .4034 .40175 .41309 .38821 .40764 .38013 Metetra .818 .724 .761 r .40764 .38013 .41309 .38821 .42269 .37632 .41725 .36869 Metetra .81 .733 .779 r .41725 .36869 .42269 .37632 .43223 .36577 .42681 .35849 Metetra .8 .74 .796 r .42681 .35849 .43223 .36577 .44172 .35632 .43633 .34931 Metetra .791 .746 .811 r .43633 .34931 .44172 .35632 .4512 .34775 .44582 .34095 Metetra .781 .75 .825 r .44582 .34095 .4512 .34775 .46065 .33992 .45531 .33328 Metetra .772 .754 .837 r .45531 .33328 .46065 .33992 .47011 .3327 .46478 .32619 Metetra .763 .757 .847 r .46478 .32619 .47011 .3327 .47956 .326 .47426 .31959 Metetra .754 .758 .856 r .47426 .31959 .47956 .326 .48902 .31972 .48375 .31339 Metetra .746 .76 .864 r .48375 .31339 .48902 .31972 .49849 .31382 .49324 .30754 Metetra .738 .76 .871 r .49324 .30754 .49849 .31382 .50798 .30822 .50276 .30198 Metetra .731 .761 .876 r .50276 .30198 .50798 .30822 .51749 .3029 .51229 .29668 Metetra .724 .761 .881 r .51229 .29668 .51749 .3029 .52702 .29779 .52185 .29159 Metetra .718 .76 .886 r .52185 .29159 .52702 .29779 .53658 .29289 .53143 .28669 Metetra .713 .76 .889 r .53143 .28669 .53658 .29289 .54616 .28815 .54104 .28195 Metetra .708 .759 .892 r .54104 .28195 .54616 .28815 .55577 .28355 .55068 .27736 Metetra .703 .759 .895 r .55068 .27736 .55577 .28355 .56541 .27908 .56034 .27288 Metetra .699 .758 .897 r .56034 .27288 .56541 .27908 .57508 .27472 .57003 .26851 Metetra .696 .757 .899 r .57003 .26851 .57508 .27472 .58478 .27045 .57976 .26422 Metetra .692 .756 .901 r .57976 .26422 .58478 .27045 .59451 .26627 .58952 .26002 Metetra .689 .756 .902 r .58952 .26002 .59451 .26627 .60428 .26215 .59931 .25589 Metetra .686 .755 .903 r .59931 .25589 .60428 .26215 .61408 .2581 .60914 .25181 Metetra .684 .754 .904 r .60914 .25181 .61408 .2581 .62392 .2541 .619 .24779 Metetra .682 .753 .905 r .619 .24779 .62392 .2541 .63379 .25015 .6289 .24381 Metetra .68 .753 .906 r .6289 .24381 .63379 .25015 .64369 .24623 .63883 .23987 Metetra .678 .752 .907 r .63883 .23987 .64369 .24623 .65364 .24235 .6488 .23596 Metetra .676 .751 .907 r .6488 .23596 .65364 .24235 .66361 .2385 .6588 .23209 Metetra .675 .751 .908 r .6588 .23209 .66361 .2385 .67363 .23467 .66885 .22824 Metetra .674 .75 .908 r .66885 .22824 .67363 .23467 .68368 .23087 .67893 .2244 Metetra .672 .75 .909 r .67893 .2244 .68368 .23087 .69378 .22708 .68905 .22059 Metetra .671 .749 .909 r .68905 .22059 .69378 .22708 .70391 .22331 .6992 .21679 Metetra .67 .749 .909 r .6992 .21679 .70391 .22331 .71407 .21955 .7094 .213 Metetra .669 .748 .91 r .7094 .213 .71407 .21955 .72428 .2158 .71963 .20923 Metetra .668 .748 .91 r .71963 .20923 .72428 .2158 .73453 .21206 .72991 .20546 Metetra .668 .747 .91 r .72991 .20546 .73453 .21206 .74481 .20832 .74022 .20169 Metetra .667 .747 .91 r .74022 .20169 .74481 .20832 .75514 .20459 .75057 .19793 Metetra .666 .747 .91 r .75057 .19793 .75514 .20459 .7655 .20086 .76097 .19417 Metetra .666 .746 .91 r .76097 .19417 .7655 .20086 .77591 .19713 .7714 .19041 Metetra .665 .746 .91 r .7714 .19041 .77591 .19713 .78635 .1934 .78187 .18665 Metetra .654 .775 .938 r .18553 .39261 .19154 .39719 .19991 .39424 .19391 .38979 Metetra .66 .783 .939 r .19391 .38979 .19991 .39424 .2083 .39144 .20233 .38685 Metetra .725 .788 .903 r .20233 .38685 .2083 .39144 .21662 .3896 .21093 .38239 Metetra 0 .025 .565 r .21093 .38239 .21662 .3896 .2239 .39872 .21832 .3903 Metetra .954 .666 .452 r .21832 .3903 .2239 .39872 .2226 .49866 .21838 .4742 Metetra .981 .706 .423 r .21838 .4742 .2226 .49866 .22274 .58949 .21647 .58421 Metetra .645 .763 .934 r .21647 .58421 .22274 .58949 .23185 .58663 .2256 .58134 Metetra .645 .763 .934 r .2256 .58134 .23185 .58663 .241 .58377 .23476 .57845 Metetra .645 .763 .934 r .23476 .57845 .241 .58377 .25017 .58089 .24396 .57556 Metetra .645 .763 .934 r .24396 .57556 .25017 .58089 .25939 .57801 .25319 .57265 Metetra .645 .763 .934 r .25319 .57265 .25939 .57801 .26863 .57511 .26246 .56974 Metetra .645 .763 .934 r .26246 .56974 .26863 .57511 .27791 .57221 .27176 .56681 Metetra .645 .763 .934 r .27176 .56681 .27791 .57221 .28723 .56929 .28109 .56387 Metetra .645 .763 .934 r .28109 .56387 .28723 .56929 .29658 .56636 .29046 .56092 Metetra .645 .763 .934 r .29046 .56092 .29658 .56636 .30596 .56342 .29987 .55796 Metetra .645 .763 .934 r .29987 .55796 .30596 .56342 .31538 .56047 .30931 .55499 Metetra .645 .763 .934 r .30931 .55499 .31538 .56047 .32484 .55751 .31879 .55201 Metetra .926 .749 .643 r .31879 .55201 .32484 .55751 .33523 .5393 .3301 .51951 Metetra .84 .634 .624 r .3301 .51951 .33523 .5393 .34669 .50103 .34141 .48462 Metetra .838 .646 .643 r .34141 .48462 .34669 .50103 .35756 .47063 .35219 .45669 Metetra .836 .659 .663 r .35219 .45669 .35756 .47063 .36802 .4459 .36259 .43378 Metetra .833 .672 .683 r .36259 .43378 .36802 .4459 .37818 .42536 .37273 .41462 Metetra .829 .685 .704 r .37273 .41462 .37818 .42536 .38814 .408 .38267 .39831 Metetra .824 .698 .725 r .38267 .39831 .38814 .408 .39795 .3931 .39247 .3842 Metetra .818 .709 .746 r .39247 .3842 .39795 .3931 .40764 .38013 .40217 .37185 Metetra .811 .72 .765 r .40217 .37185 .40764 .38013 .41725 .36869 .41179 .36089 Metetra .803 .729 .783 r .41179 .36089 .41725 .36869 .42681 .35849 .42137 .35107 Metetra .794 .736 .799 r .42137 .35107 .42681 .35849 .43633 .34931 .43091 .34218 Metetra .785 .743 .814 r .43091 .34218 .43633 .34931 .44582 .34095 .44042 .33405 Metetra .777 .748 .827 r .44042 .33405 .44582 .34095 .45531 .33328 .44992 .32656 Metetra .768 .752 .838 r .44992 .32656 .45531 .33328 .46478 .32619 .45942 .31961 Metetra .759 .755 .849 r .45942 .31961 .46478 .32619 .47426 .31959 .46893 .31311 Metetra .751 .757 .857 r .46893 .31311 .47426 .31959 .48375 .31339 .47844 .30699 Metetra .743 .758 .865 r .47844 .30699 .48375 .31339 .49324 .30754 .48796 .3012 Metetra .736 .759 .872 r .48796 .3012 .49324 .30754 .50276 .30198 .4975 .29569 Metetra .729 .76 .877 r .4975 .29569 .50276 .30198 .51229 .29668 .50706 .29041 Metetra .723 .76 .882 r .50706 .29041 .51229 .29668 .52185 .29159 .51664 .28535 Metetra .717 .76 .886 r .51664 .28535 .52185 .29159 .53143 .28669 .52625 .28046 Metetra .712 .759 .89 r .52625 .28046 .53143 .28669 .54104 .28195 .53588 .27572 Metetra .707 .759 .893 r .53588 .27572 .54104 .28195 .55068 .27736 .54554 .27112 Metetra .703 .758 .895 r .54554 .27112 .55068 .27736 .56034 .27288 .55523 .26664 Metetra .699 .758 .898 r .55523 .26664 .56034 .27288 .57003 .26851 .56496 .26225 Metetra .695 .757 .899 r .56496 .26225 .57003 .26851 .57976 .26422 .57471 .25795 Metetra .692 .756 .901 r .57471 .25795 .57976 .26422 .58952 .26002 .58449 .25373 Metetra .689 .756 .903 r .58449 .25373 .58952 .26002 .59931 .25589 .59431 .24958 Metetra .686 .755 .904 r .59431 .24958 .59931 .25589 .60914 .25181 .60417 .24548 Metetra .684 .754 .905 r .60417 .24548 .60914 .25181 .619 .24779 .61405 .24144 Metetra .682 .754 .906 r .61405 .24144 .619 .24779 .6289 .24381 .62398 .23744 Metetra .68 .753 .906 r .62398 .23744 .6289 .24381 .63883 .23987 .63393 .23347 Metetra .678 .752 .907 r .63393 .23347 .63883 .23987 .6488 .23596 .64393 .22954 Metetra .676 .752 .908 r .64393 .22954 .6488 .23596 .6588 .23209 .65396 .22564 Metetra .675 .751 .908 r .65396 .22564 .6588 .23209 .66885 .22824 .66403 .22176 Metetra .674 .751 .909 r .66403 .22176 .66885 .22824 .67893 .2244 .67414 .2179 Metetra .672 .75 .909 r .67414 .2179 .67893 .2244 .68905 .22059 .68428 .21406 Metetra .671 .749 .909 r .68428 .21406 .68905 .22059 .6992 .21679 .69447 .21023 Metetra .67 .749 .91 r .69447 .21023 .6992 .21679 .7094 .213 .70469 .20642 Metetra .669 .749 .91 r .70469 .20642 .7094 .213 .71963 .20923 .71495 .20261 Metetra .669 .748 .91 r .71495 .20261 .71963 .20923 .72991 .20546 .72525 .19881 Metetra .668 .748 .91 r .72525 .19881 .72991 .20546 .74022 .20169 .73559 .19502 Metetra .667 .747 .91 r .73559 .19502 .74022 .20169 .75057 .19793 .74597 .19123 Metetra .667 .747 .91 r .74597 .19123 .75057 .19793 .76097 .19417 .7564 .18744 Metetra .666 .747 .91 r .7564 .18744 .76097 .19417 .7714 .19041 .76686 .18365 Metetra .665 .746 .91 r .76686 .18365 .7714 .19041 .78187 .18665 .77736 .17986 Metetra .628 .786 .958 r .17944 .3884 .18553 .39261 .19391 .38979 .18779 .38597 Metetra .6 .797 .975 r .18779 .38597 .19391 .38979 .20233 .38685 .19614 .38386 Metetra .417 .768 .996 r .19614 .38386 .20233 .38685 .21093 .38239 .20437 .38325 Metetra .81 .376 .212 r .20437 .38325 .21093 .38239 .21832 .3903 .21135 .39513 Metetra .912 .618 .475 r .21135 .39513 .21832 .3903 .21838 .4742 .21239 .46787 Metetra .947 .665 .47 r .21239 .46787 .21838 .4742 .21647 .58421 .21016 .5789 Metetra .645 .763 .934 r .21016 .5789 .21647 .58421 .2256 .58134 .2193 .57601 Metetra .645 .763 .934 r .2193 .57601 .2256 .58134 .23476 .57845 .22849 .5731 Metetra .645 .763 .934 r .22849 .5731 .23476 .57845 .24396 .57556 .2377 .57019 Metetra .645 .763 .934 r .2377 .57019 .24396 .57556 .25319 .57265 .24696 .56726 Metetra .645 .763 .934 r .24696 .56726 .25319 .57265 .26246 .56974 .25624 .56433 Metetra .645 .763 .934 r .25624 .56433 .26246 .56974 .27176 .56681 .26556 .56138 Metetra .645 .763 .934 r .26556 .56138 .27176 .56681 .28109 .56387 .27492 .55842 Metetra .645 .763 .934 r .27492 .55842 .28109 .56387 .29046 .56092 .28431 .55545 Metetra .645 .763 .934 r .28431 .55545 .29046 .56092 .29987 .55796 .29374 .55247 Metetra .645 .763 .934 r .29374 .55247 .29987 .55796 .30931 .55499 .3032 .54948 Metetra .846 .785 .793 r .3032 .54948 .30931 .55499 .31879 .55201 .31326 .53796 Metetra .881 .676 .621 r .31326 .53796 .31879 .55201 .3301 .51951 .32506 .49853 Metetra .822 .62 .629 r .32506 .49853 .3301 .51951 .34141 .48462 .33619 .46741 Metetra .823 .634 .648 r .33619 .46741 .34141 .48462 .35219 .45669 .34685 .44218 Metetra .822 .649 .668 r .34685 .44218 .35219 .45669 .36259 .43378 .35717 .42125 Metetra .821 .664 .689 r .35717 .42125 .36259 .43378 .37273 .41462 .36727 .40356 Metetra .818 .679 .71 r .36727 .40356 .37273 .41462 .38267 .39831 .37718 .38836 Metetra .814 .692 .73 r .37718 .38836 .38267 .39831 .39247 .3842 .38698 .37511 Metetra .809 .705 .75 r .38698 .37511 .39247 .3842 .40217 .37185 .39668 .36341 Metetra .803 .716 .769 r .39668 .36341 .40217 .37185 .41179 .36089 .40631 .35296 Metetra .796 .725 .786 r .40631 .35296 .41179 .36089 .42137 .35107 .4159 .34354 Metetra .788 .733 .802 r .4159 .34354 .42137 .35107 .43091 .34218 .42545 .33495 Metetra .78 .74 .816 r .42545 .33495 .43091 .34218 .44042 .33405 .43498 .32706 Metetra .772 .745 .829 r .43498 .32706 .44042 .33405 .44992 .32656 .44451 .31976 Metetra .764 .75 .84 r .44451 .31976 .44992 .32656 .45942 .31961 .45403 .31295 Metetra .756 .753 .85 r .45403 .31295 .45942 .31961 .46893 .31311 .46356 .30657 Metetra .748 .755 .859 r .46356 .30657 .46893 .31311 .47844 .30699 .47309 .30053 Metetra .74 .757 .866 r .47309 .30053 .47844 .30699 .48796 .3012 .48264 .29481 Metetra .734 .758 .872 r .48264 .29481 .48796 .3012 .4975 .29569 .49221 .28934 Metetra .727 .759 .878 r .49221 .28934 .4975 .29569 .50706 .29041 .50179 .2841 Metetra .721 .759 .883 r .50179 .2841 .50706 .29041 .51664 .28535 .5114 .27905 Metetra .716 .759 .887 r .5114 .27905 .51664 .28535 .52625 .28046 .52103 .27418 Metetra .711 .759 .89 r .52103 .27418 .52625 .28046 .53588 .27572 .53069 .26945 Metetra .706 .759 .893 r .53069 .26945 .53588 .27572 .54554 .27112 .54038 .26484 Metetra .702 .758 .896 r .54038 .26484 .54554 .27112 .55523 .26664 .55009 .26035 Metetra .698 .758 .898 r .55009 .26035 .55523 .26664 .56496 .26225 .55984 .25596 Metetra .695 .757 .9 r .55984 .25596 .56496 .26225 .57471 .25795 .56962 .25165 Metetra .692 .757 .901 r .56962 .25165 .57471 .25795 .58449 .25373 .57943 .24741 Metetra .689 .756 .903 r .57943 .24741 .58449 .25373 .59431 .24958 .58928 .24324 Metetra .686 .755 .904 r .58928 .24324 .59431 .24958 .60417 .24548 .59916 .23912 Metetra .684 .755 .905 r .59916 .23912 .60417 .24548 .61405 .24144 .60907 .23505 Metetra .682 .754 .906 r .60907 .23505 .61405 .24144 .62398 .23744 .61902 .23103 Metetra .68 .753 .907 r .61902 .23103 .62398 .23744 .63393 .23347 .629 .22704 Metetra .678 .753 .907 r .629 .22704 .63393 .23347 .64393 .22954 .63903 .22308 Metetra .677 .752 .908 r .63903 .22308 .64393 .22954 .65396 .22564 .64908 .21915 Metetra .675 .751 .908 r .64908 .21915 .65396 .22564 .66403 .22176 .65918 .21525 Metetra .674 .751 .909 r .65918 .21525 .66403 .22176 .67414 .2179 .66931 .21136 Metetra .673 .75 .909 r .66931 .21136 .67414 .2179 .68428 .21406 .67949 .20749 Metetra .671 .75 .909 r .67949 .20749 .68428 .21406 .69447 .21023 .6897 .20364 Metetra .67 .749 .91 r .6897 .20364 .69447 .21023 .70469 .20642 .69995 .19979 Metetra .67 .749 .91 r .69995 .19979 .70469 .20642 .71495 .20261 .71024 .19596 Metetra .669 .748 .91 r .71024 .19596 .71495 .20261 .72525 .19881 .72057 .19213 Metetra .668 .748 .91 r .72057 .19213 .72525 .19881 .73559 .19502 .73094 .18831 Metetra .667 .748 .91 r .73094 .18831 .73559 .19502 .74597 .19123 .74134 .18449 Metetra .667 .747 .911 r .74134 .18449 .74597 .19123 .7564 .18744 .75179 .18067 Metetra .666 .747 .911 r .75179 .18067 .7564 .18744 .76686 .18365 .76229 .17685 Metetra .666 .747 .911 r .76229 .17685 .76686 .18365 .77736 .17986 .77282 .17303 Metetra .566 .789 .983 r .17325 .3846 .17944 .3884 .18779 .38597 .18154 .3829 Metetra .405 .76 .994 r .18154 .3829 .18779 .38597 .19614 .38386 .18973 .38241 Metetra .375 0 0 r .18973 .38241 .19614 .38386 .20437 .38325 .19757 .38562 Metetra .836 .447 .312 r .19757 .38562 .20437 .38325 .21135 .39513 .20409 .40197 Metetra .899 .599 .471 r .20409 .40197 .21135 .39513 .21239 .46787 .20617 .46334 Metetra .943 .661 .473 r .20617 .46334 .21239 .46787 .21016 .5789 .2038 .57355 Metetra .645 .763 .934 r .2038 .57355 .21016 .5789 .2193 .57601 .21296 .57064 Metetra .645 .763 .934 r .21296 .57064 .2193 .57601 .22849 .5731 .22217 .56771 Metetra .645 .763 .934 r .22217 .56771 .22849 .5731 .2377 .57019 .2314 .56478 Metetra .645 .763 .934 r .2314 .56478 .2377 .57019 .24696 .56726 .24068 .56183 Metetra .645 .763 .934 r .24068 .56183 .24696 .56726 .25624 .56433 .24998 .55888 Metetra .645 .763 .934 r .24998 .55888 .25624 .56433 .26556 .56138 .25932 .55591 Metetra .645 .763 .934 r .25932 .55591 .26556 .56138 .27492 .55842 .2687 .55293 Metetra .645 .763 .934 r .2687 .55293 .27492 .55842 .28431 .55545 .27811 .54994 Metetra .645 .763 .934 r .27811 .54994 .28431 .55545 .29374 .55247 .28756 .54694 Metetra .645 .763 .934 r .28756 .54694 .29374 .55247 .3032 .54948 .29705 .54392 Metetra .925 .747 .642 r .29705 .54392 .3032 .54948 .31326 .53796 .30862 .51069 Metetra .8 .59 .617 r .30862 .51069 .31326 .53796 .32506 .49853 .32008 .47697 Metetra .805 .607 .635 r .32008 .47697 .32506 .49853 .33619 .46741 .33099 .44979 Metetra .807 .624 .654 r .33099 .44979 .33619 .46741 .34685 .44218 .34151 .42736 Metetra .809 .641 .675 r .34151 .42736 .34685 .44218 .35717 .42125 .35176 .40848 Metetra .809 .658 .695 r .35176 .40848 .35717 .42125 .36727 .40356 .36179 .39231 Metetra .807 .673 .716 r .36179 .39231 .36727 .40356 .37718 .38836 .37168 .37825 Metetra .804 .688 .736 r .37168 .37825 .37718 .38836 .38698 .37511 .38146 .36587 Metetra .8 .701 .755 r .38146 .36587 .38698 .37511 .39668 .36341 .39116 .35485 Metetra .795 .712 .774 r .39116 .35485 .39668 .36341 .40631 .35296 .4008 .34492 Metetra .788 .722 .79 r .4008 .34492 .40631 .35296 .4159 .34354 .41039 .3359 Metetra .782 .731 .806 r .41039 .3359 .4159 .34354 .42545 .33495 .41996 .32763 Metetra .774 .738 .819 r .41996 .32763 .42545 .33495 .43498 .32706 .42952 .31999 Metetra .767 .743 .831 r .42952 .31999 .43498 .32706 .44451 .31976 .43906 .31288 Metetra .759 .748 .842 r .43906 .31288 .44451 .31976 .45403 .31295 .44861 .30623 Metetra .752 .751 .852 r .44861 .30623 .45403 .31295 .46356 .30657 .45815 .29996 Metetra .745 .754 .86 r .45815 .29996 .46356 .30657 .47309 .30053 .46771 .29401 Metetra .738 .756 .867 r .46771 .29401 .47309 .30053 .48264 .29481 .47729 .28836 Metetra .731 .757 .873 r .47729 .28836 .48264 .29481 .49221 .28934 .48688 .28294 Metetra .725 .758 .879 r .48688 .28294 .49221 .28934 .50179 .2841 .49649 .27773 Metetra .72 .759 .883 r .49649 .27773 .50179 .2841 .5114 .27905 .50612 .27271 Metetra .714 .759 .887 r .50612 .27271 .5114 .27905 .52103 .27418 .51578 .26785 Metetra .71 .759 .891 r .51578 .26785 .52103 .27418 .53069 .26945 .52546 .26313 Metetra .705 .758 .893 r .52546 .26313 .53069 .26945 .54038 .26484 .53518 .25853 Metetra .701 .758 .896 r .53518 .25853 .54038 .26484 .55009 .26035 .54492 .25403 Metetra .698 .758 .898 r .54492 .25403 .55009 .26035 .55984 .25596 .55469 .24962 Metetra .694 .757 .9 r .55469 .24962 .55984 .25596 .56962 .25165 .5645 .2453 Metetra .691 .757 .902 r .5645 .2453 .56962 .25165 .57943 .24741 .57433 .24105 Metetra .689 .756 .903 r .57433 .24105 .57943 .24741 .58928 .24324 .58421 .23686 Metetra .686 .755 .904 r .58421 .23686 .58928 .24324 .59916 .23912 .59411 .23272 Metetra .684 .755 .905 r .59411 .23272 .59916 .23912 .60907 .23505 .60405 .22863 Metetra .682 .754 .906 r .60405 .22863 .60907 .23505 .61902 .23103 .61403 .22458 Metetra .68 .754 .907 r .61403 .22458 .61902 .23103 .629 .22704 .62404 .22057 Metetra .678 .753 .907 r .62404 .22057 .629 .22704 .63903 .22308 .63409 .21659 Metetra .677 .752 .908 r .63409 .21659 .63903 .22308 .64908 .21915 .64417 .21263 Metetra .675 .752 .909 r .64417 .21263 .64908 .21915 .65918 .21525 .6543 .2087 Metetra .674 .751 .909 r .6543 .2087 .65918 .21525 .66931 .21136 .66446 .20478 Metetra .673 .751 .909 r .66446 .20478 .66931 .21136 .67949 .20749 .67466 .20089 Metetra .672 .75 .91 r .67466 .20089 .67949 .20749 .6897 .20364 .6849 .197 Metetra .671 .75 .91 r .6849 .197 .6897 .20364 .69995 .19979 .69517 .19313 Metetra .67 .749 .91 r .69517 .19313 .69995 .19979 .71024 .19596 .70549 .18926 Metetra .669 .749 .91 r .70549 .18926 .71024 .19596 .72057 .19213 .71585 .18541 Metetra .668 .748 .91 r .71585 .18541 .72057 .19213 .73094 .18831 .72624 .18155 Metetra .667 .748 .911 r .72624 .18155 .73094 .18831 .74134 .18449 .73668 .1777 Metetra .667 .748 .911 r .73668 .1777 .74134 .18449 .75179 .18067 .74716 .17385 Metetra .666 .747 .911 r .74716 .17385 .75179 .18067 .76229 .17685 .75768 .17001 Metetra .666 .747 .911 r .75768 .17001 .76229 .17685 .77282 .17303 .76824 .16616 Metetra .471 .77 .996 r .16698 .3811 .17325 .3846 .18154 .3829 .17519 .38025 Metetra .123 .619 .907 r .17519 .38025 .18154 .3829 .18973 .38241 .18322 .38128 Metetra .621 .058 0 r .18322 .38128 .18973 .38241 .19757 .38562 .19081 .38687 Metetra .853 .462 .305 r .19081 .38687 .19757 .38562 .20409 .40197 .19723 .40419 Metetra .909 .596 .441 r .19723 .40419 .20409 .40197 .20617 .46334 .20065 .45165 Metetra .958 .678 .463 r .20065 .45165 .20617 .46334 .2038 .57355 .19739 .56816 Metetra .645 .763 .934 r .19739 .56816 .2038 .57355 .21296 .57064 .20658 .56523 Metetra .645 .763 .934 r .20658 .56523 .21296 .57064 .22217 .56771 .2158 .56229 Metetra .645 .763 .934 r .2158 .56229 .22217 .56771 .2314 .56478 .22506 .55933 Metetra .645 .763 .934 r .22506 .55933 .2314 .56478 .24068 .56183 .23435 .55637 Metetra .645 .763 .934 r .23435 .55637 .24068 .56183 .24998 .55888 .24368 .55339 Metetra .645 .763 .934 r .24368 .55339 .24998 .55888 .25932 .55591 .25304 .5504 Metetra .645 .763 .934 r .25304 .5504 .25932 .55591 .2687 .55293 .26244 .5474 Metetra .645 .763 .934 r .26244 .5474 .2687 .55293 .27811 .54994 .27187 .54439 Metetra .645 .763 .934 r .27187 .54439 .27811 .54994 .28756 .54694 .28134 .54137 Metetra .906 .762 .69 r .28134 .54137 .28756 .54694 .29705 .54392 .2923 .51841 Metetra .812 .602 .618 r .2923 .51841 .29705 .54392 .30862 .51069 .30401 .48362 Metetra .781 .577 .624 r .30401 .48362 .30862 .51069 .32008 .47697 .31511 .45545 Metetra .788 .597 .643 r .31511 .45545 .32008 .47697 .33099 .44979 .3258 .43215 Metetra .792 .616 .662 r .3258 .43215 .33099 .44979 .34151 .42736 .33618 .41249 Metetra .795 .635 .682 r .33618 .41249 .34151 .42736 .35176 .40848 .34633 .39563 Metetra .797 .652 .703 r .34633 .39563 .35176 .40848 .36179 .39231 .35631 .38096 Metetra .796 .669 .723 r .35631 .38096 .36179 .39231 .37168 .37825 .36616 .36805 Metetra .794 .684 .743 r .36616 .36805 .37168 .37825 .38146 .36587 .37592 .35654 Metetra .791 .697 .761 r .37592 .35654 .38146 .36587 .39116 .35485 .38561 .34619 Metetra .787 .709 .779 r .38561 .34619 .39116 .35485 .4008 .34492 .39526 .33679 Metetra .781 .72 .795 r .39526 .33679 .4008 .34492 .41039 .3359 .40486 .32818 Metetra .775 .728 .809 r .40486 .32818 .41039 .3359 .41996 .32763 .41445 .32023 Metetra .768 .735 .823 r .41445 .32023 .41996 .32763 .42952 .31999 .42402 .31285 Metetra .762 .741 .834 r .42402 .31285 .42952 .31999 .43906 .31288 .43358 .30594 Metetra .755 .746 .845 r .43358 .30594 .43906 .31288 .44861 .30623 .44314 .29944 Metetra .748 .75 .854 r .44314 .29944 .44861 .30623 .45815 .29996 .45272 .29329 Metetra .741 .753 .861 r .45272 .29329 .45815 .29996 .46771 .29401 .4623 .28744 Metetra .735 .755 .868 r .4623 .28744 .46771 .29401 .47729 .28836 .4719 .28185 Metetra .729 .756 .874 r .4719 .28185 .47729 .28836 .48688 .28294 .48151 .27649 Metetra .723 .757 .879 r .48151 .27649 .48688 .28294 .49649 .27773 .49115 .27132 Metetra .718 .758 .884 r .49115 .27132 .49649 .27773 .50612 .27271 .50081 .26632 Metetra .713 .758 .888 r .50081 .26632 .50612 .27271 .51578 .26785 .51049 .26148 Metetra .709 .758 .891 r .51049 .26148 .51578 .26785 .52546 .26313 .5202 .25676 Metetra .704 .758 .894 r .5202 .25676 .52546 .26313 .53518 .25853 .52994 .25216 Metetra .701 .758 .896 r .52994 .25216 .53518 .25853 .54492 .25403 .53971 .24766 Metetra .697 .758 .898 r .53971 .24766 .54492 .25403 .55469 .24962 .54951 .24325 Metetra .694 .757 .9 r .54951 .24325 .55469 .24962 .5645 .2453 .55934 .23891 Metetra .691 .757 .902 r .55934 .23891 .5645 .2453 .57433 .24105 .5692 .23465 Metetra .688 .756 .903 r .5692 .23465 .57433 .24105 .58421 .23686 .5791 .23044 Metetra .686 .755 .904 r .5791 .23044 .58421 .23686 .59411 .23272 .58903 .22628 Metetra .684 .755 .905 r .58903 .22628 .59411 .23272 .60405 .22863 .599 .22217 Metetra .682 .754 .906 r .599 .22217 .60405 .22863 .61403 .22458 .609 .2181 Metetra .68 .754 .907 r .609 .2181 .61403 .22458 .62404 .22057 .61904 .21406 Metetra .678 .753 .908 r .61904 .21406 .62404 .22057 .63409 .21659 .62911 .21005 Metetra .677 .753 .908 r .62911 .21005 .63409 .21659 .64417 .21263 .63923 .20607 Metetra .675 .752 .909 r .63923 .20607 .64417 .21263 .6543 .2087 .64938 .20211 Metetra .674 .752 .909 r .64938 .20211 .6543 .2087 .66446 .20478 .65957 .19817 Metetra .673 .751 .909 r .65957 .19817 .66446 .20478 .67466 .20089 .66979 .19424 Metetra .672 .751 .91 r .66979 .19424 .67466 .20089 .6849 .197 .68006 .19033 Metetra .671 .75 .91 r .68006 .19033 .6849 .197 .69517 .19313 .69036 .18643 Metetra .67 .75 .91 r .69036 .18643 .69517 .19313 .70549 .18926 .70071 .18253 Metetra .669 .749 .91 r .70071 .18253 .70549 .18926 .71585 .18541 .71109 .17864 Metetra .668 .749 .911 r .71109 .17864 .71585 .18541 .72624 .18155 .72152 .17476 Metetra .668 .748 .911 r .72152 .17476 .72624 .18155 .73668 .1777 .73199 .17088 Metetra .667 .748 .911 r .73199 .17088 .73668 .1777 .74716 .17385 .74249 .167 Metetra .666 .748 .911 r .74249 .167 .74716 .17385 .75768 .17001 .75304 .16312 Metetra .666 .747 .911 r .75304 .16312 .75768 .17001 .76824 .16616 .76363 .15924 Metetra .376 .733 .99 r .16064 .37769 .16698 .3811 .17519 .38025 .16879 .37754 Metetra 0 .492 .813 r .16879 .37754 .17519 .38025 .18322 .38128 .17672 .37955 Metetra .658 .103 0 r .17672 .37955 .18322 .38128 .19081 .38687 .18423 .38597 Metetra .861 .445 .237 r .18423 .38597 .19081 .38687 .19723 .40419 .19082 .40151 Metetra .925 .587 .376 r .19082 .40151 .19723 .40419 .20065 .45165 .19558 .43548 Metetra .976 .682 .392 r .19558 .43548 .20065 .45165 .19739 .56816 .19708 .50336 Metetra 0 0 .286 r .19708 .50336 .19739 .56816 .20658 .56523 .20015 .55979 Metetra .645 .763 .934 r .20015 .55979 .20658 .56523 .2158 .56229 .20939 .55682 Metetra .645 .763 .934 r .20939 .55682 .2158 .56229 .22506 .55933 .21867 .55385 Metetra .645 .763 .934 r .21867 .55385 .22506 .55933 .23435 .55637 .22798 .55086 Metetra .645 .763 .934 r .22798 .55086 .23435 .55637 .24368 .55339 .23733 .54786 Metetra .645 .763 .934 r .23733 .54786 .24368 .55339 .25304 .5504 .24672 .54485 Metetra .645 .763 .934 r .24672 .54485 .25304 .5504 .26244 .5474 .25613 .54183 Metetra .645 .763 .934 r .25613 .54183 .26244 .5474 .27187 .54439 .26559 .5388 Metetra .899 .765 .706 r .26559 .5388 .27187 .54439 .28134 .54137 .27645 .51816 Metetra .817 .611 .624 r .27645 .51816 .28134 .54137 .2923 .51841 .28818 .48509 Metetra .752 .545 .615 r .28818 .48509 .2923 .51841 .30401 .48362 .29936 .45766 Metetra .763 .568 .633 r .29936 .45766 .30401 .48362 .31511 .45545 .31013 .43456 Metetra .772 .589 .652 r .31013 .43456 .31511 .45545 .3258 .43215 .32059 .41484 Metetra .778 .61 .672 r .32059 .41484 .3258 .43215 .33618 .41249 .33082 .39778 Metetra .783 .63 .692 r .33082 .39778 .33618 .41249 .34633 .39563 .34088 .38285 Metetra .785 .649 .712 r .34088 .38285 .34633 .39563 .35631 .38096 .3508 .36964 Metetra .786 .666 .731 r .3508 .36964 .35631 .38096 .36616 .36805 .36062 .35783 Metetra .785 .681 .75 r .36062 .35783 .36616 .36805 .37592 .35654 .37036 .34718 Metetra .782 .695 .768 r .37036 .34718 .37592 .35654 .38561 .34619 .38004 .33749 Metetra .778 .707 .784 r .38004 .33749 .38561 .34619 .39526 .33679 .38969 .3286 Metetra .774 .717 .8 r .38969 .3286 .39526 .33679 .40486 .32818 .3993 .3204 Metetra .768 .726 .814 r .3993 .3204 .40486 .32818 .41445 .32023 .4089 .31277 Metetra .763 .734 .826 r .4089 .31277 .41445 .32023 .42402 .31285 .41848 .30564 Metetra .756 .74 .837 r .41848 .30564 .42402 .31285 .43358 .30594 .42806 .29893 Metetra .75 .744 .847 r .42806 .29893 .43358 .30594 .44314 .29944 .43765 .29259 Metetra .744 .748 .856 r .43765 .29259 .44314 .29944 .45272 .29329 .44724 .28656 Metetra .738 .751 .863 r .44724 .28656 .45272 .29329 .4623 .28744 .45685 .28081 Metetra .732 .754 .87 r .45685 .28081 .4623 .28744 .4719 .28185 .46647 .27529 Metetra .726 .755 .875 r .46647 .27529 .4719 .28185 .48151 .27649 .47611 .26998 Metetra .721 .756 .88 r .47611 .26998 .48151 .27649 .49115 .27132 .48577 .26486 Metetra .716 .757 .885 r .48577 .26486 .49115 .27132 .50081 .26632 .49545 .25989 Metetra .712 .758 .888 r .49545 .25989 .50081 .26632 .51049 .26148 .50516 .25506 Metetra .707 .758 .892 r .50516 .25506 .51049 .26148 .5202 .25676 .5149 .25035 Metetra .703 .758 .894 r .5149 .25035 .5202 .25676 .52994 .25216 .52466 .24575 Metetra .7 .758 .897 r .52466 .24575 .52994 .25216 .53971 .24766 .53446 .24125 Metetra .696 .757 .899 r .53446 .24125 .53971 .24766 .54951 .24325 .54428 .23683 Metetra .693 .757 .901 r .54428 .23683 .54951 .24325 .55934 .23891 .55414 .23248 Metetra .691 .757 .902 r .55414 .23248 .55934 .23891 .5692 .23465 .56403 .2282 Metetra .688 .756 .903 r .56403 .2282 .5692 .23465 .5791 .23044 .57396 .22397 Metetra .686 .756 .905 r .57396 .22397 .5791 .23044 .58903 .22628 .58391 .2198 Metetra .684 .755 .906 r .58391 .2198 .58903 .22628 .599 .22217 .59391 .21567 Metetra .682 .754 .906 r .59391 .21567 .599 .22217 .609 .2181 .60394 .21157 Metetra .68 .754 .907 r .60394 .21157 .609 .2181 .61904 .21406 .614 .20751 Metetra .678 .753 .908 r .614 .20751 .61904 .21406 .62911 .21005 .62411 .20347 Metetra .677 .753 .908 r .62411 .20347 .62911 .21005 .63923 .20607 .63424 .19947 Metetra .675 .752 .909 r .63424 .19947 .63923 .20607 .64938 .20211 .64442 .19548 Metetra .674 .752 .909 r .64442 .19548 .64938 .20211 .65957 .19817 .65464 .19151 Metetra .673 .751 .91 r .65464 .19151 .65957 .19817 .66979 .19424 .66489 .18755 Metetra .672 .751 .91 r .66489 .18755 .66979 .19424 .68006 .19033 .67519 .18361 Metetra .671 .75 .91 r .67519 .18361 .68006 .19033 .69036 .18643 .68552 .17968 Metetra .67 .75 .91 r .68552 .17968 .69036 .18643 .70071 .18253 .69589 .17576 Metetra .669 .749 .911 r .69589 .17576 .70071 .18253 .71109 .17864 .70631 .17184 Metetra .668 .749 .911 r .70631 .17184 .71109 .17864 .72152 .17476 .71676 .16792 Metetra .668 .749 .911 r .71676 .16792 .72152 .17476 .73199 .17088 .72726 .16401 Metetra .667 .748 .911 r .72726 .16401 .73199 .17088 .74249 .167 .73779 .1601 Metetra .667 .748 .911 r .73779 .1601 .74249 .167 .75304 .16312 .74837 .15619 Metetra .666 .748 .911 r .74837 .15619 .75304 .16312 .76363 .15924 .75899 .15228 Metetra .318 .7 .98 r .15427 .37415 .16064 .37769 .16879 .37754 .16237 .37445 Metetra 0 .459 .805 r .16237 .37445 .16879 .37754 .17672 .37955 .17028 .37685 Metetra .604 .036 0 r .17028 .37685 .17672 .37955 .18423 .38597 .17781 .38296 Metetra .842 .381 .092 r .17781 .38296 .18423 .38597 .19082 .40151 .18471 .39559 Metetra .928 .548 .247 r .18471 .39559 .19082 .40151 .19558 .43548 .19056 .41895 Metetra .959 .643 .234 r .19056 .41895 .19558 .43548 .19708 .50336 .19496 .45774 Metetra 0 0 .076 r .19496 .45774 .19708 .50336 .20015 .55979 .19796 .51264 Metetra 0 0 .353 r .19796 .51264 .20015 .55979 .20939 .55682 .20294 .55132 Metetra .645 .763 .934 r .20294 .55132 .20939 .55682 .21867 .55385 .21224 .54832 Metetra .645 .763 .934 r .21224 .54832 .21867 .55385 .22798 .55086 .22157 .54532 Metetra .645 .763 .934 r .22157 .54532 .22798 .55086 .23733 .54786 .23094 .5423 Metetra .645 .763 .934 r .23094 .5423 .23733 .54786 .24672 .54485 .24034 .53927 Metetra .645 .763 .934 r .24034 .53927 .24672 .54485 .25613 .54183 .24979 .53622 Metetra .917 .75 .659 r .24979 .53622 .25613 .54183 .26559 .5388 .26145 .50673 Metetra .758 .552 .618 r .26145 .50673 .26559 .5388 .27645 .51816 .27285 .47911 Metetra .719 .512 .609 r .27285 .47911 .27645 .51816 .28818 .48509 .28389 .45478 Metetra .734 .538 .626 r .28389 .45478 .28818 .48509 .29936 .45766 .29462 .43344 Metetra .747 .562 .644 r .29462 .43344 .29936 .45766 .31013 .43456 .30508 .4147 Metetra .757 .585 .663 r .30508 .4147 .31013 .43456 .32059 .41484 .31534 .39816 Metetra .765 .607 .683 r .31534 .39816 .32059 .41484 .33082 .39778 .32544 .38346 Metetra .771 .628 .702 r .32544 .38346 .33082 .39778 .34088 .38285 .3354 .3703 Metetra .774 .647 .721 r .3354 .3703 .34088 .38285 .3508 .36964 .34526 .35844 Metetra .775 .664 .74 r .34526 .35844 .3508 .36964 .36062 .35783 .35505 .34767 Metetra .775 .68 .758 r .35505 .34767 .36062 .35783 .37036 .34718 .36477 .33783 Metetra .773 .693 .775 r .36477 .33783 .37036 .34718 .38004 .33749 .37444 .32877 Metetra .77 .706 .791 r .37444 .32877 .38004 .33749 .38969 .3286 .38408 .32039 Metetra .767 .716 .805 r .38408 .32039 .38969 .3286 .3993 .3204 .39371 .31258 Metetra .762 .725 .818 r .39371 .31258 .3993 .3204 .4089 .31277 .40331 .30527 Metetra .757 .732 .83 r .40331 .30527 .4089 .31277 .41848 .30564 .41291 .29838 Metetra .751 .738 .84 r .41291 .29838 .41848 .30564 .42806 .29893 .42251 .29187 Metetra .746 .743 .849 r .42251 .29187 .42806 .29893 .43765 .29259 .43212 .28569 Metetra .74 .747 .858 r .43212 .28569 .43765 .29259 .44724 .28656 .44173 .27978 Metetra .734 .75 .865 r .44173 .27978 .44724 .28656 .45685 .28081 .45136 .27412 Metetra .729 .752 .871 r .45136 .27412 .45685 .28081 .46647 .27529 .46101 .26868 Metetra .724 .754 .876 r .46101 .26868 .46647 .27529 .47611 .26998 .47067 .26343 Metetra .719 .756 .881 r .47067 .26343 .47611 .26998 .48577 .26486 .48036 .25834 Metetra .714 .756 .885 r .48036 .25834 .48577 .26486 .49545 .25989 .49007 .2534 Metetra .71 .757 .889 r .49007 .2534 .49545 .25989 .50516 .25506 .4998 .24859 Metetra .706 .757 .892 r .4998 .24859 .50516 .25506 .5149 .25035 .50956 .2439 Metetra .702 .757 .895 r .50956 .2439 .5149 .25035 .52466 .24575 .51935 .2393 Metetra .699 .757 .897 r .51935 .2393 .52466 .24575 .53446 .24125 .52917 .2348 Metetra .696 .757 .899 r .52917 .2348 .53446 .24125 .54428 .23683 .53903 .23037 Metetra .693 .757 .901 r .53903 .23037 .54428 .23683 .55414 .23248 .54891 .22601 Metetra .69 .756 .902 r .54891 .22601 .55414 .23248 .56403 .2282 .55883 .22171 Metetra .688 .756 .904 r .55883 .22171 .56403 .2282 .57396 .22397 .56878 .21747 Metetra .685 .756 .905 r .56878 .21747 .57396 .22397 .58391 .2198 .57876 .21327 Metetra .683 .755 .906 r .57876 .21327 .58391 .2198 .59391 .21567 .58878 .20912 Metetra .681 .755 .907 r .58878 .20912 .59391 .21567 .60394 .21157 .59884 .205 Metetra .68 .754 .907 r .59884 .205 .60394 .21157 .614 .20751 .60893 .20091 Metetra .678 .754 .908 r .60893 .20091 .614 .20751 .62411 .20347 .61906 .19686 Metetra .677 .753 .909 r .61906 .19686 .62411 .20347 .63424 .19947 .62923 .19282 Metetra .675 .752 .909 r .62923 .19282 .63424 .19947 .64442 .19548 .63943 .18881 Metetra .674 .752 .909 r .63943 .18881 .64442 .19548 .65464 .19151 .64968 .18481 Metetra .673 .752 .91 r .64968 .18481 .65464 .19151 .66489 .18755 .65996 .18082 Metetra .672 .751 .91 r .65996 .18082 .66489 .18755 .67519 .18361 .67028 .17685 Metetra .671 .751 .91 r .67028 .17685 .67519 .18361 .68552 .17968 .68064 .17289 Metetra .67 .75 .911 r .68064 .17289 .68552 .17968 .69589 .17576 .69105 .16894 Metetra .669 .75 .911 r .69105 .16894 .69589 .17576 .70631 .17184 .70149 .16499 Metetra .669 .749 .911 r .70149 .16499 .70631 .17184 .71676 .16792 .71197 .16105 Metetra .668 .749 .911 r .71197 .16105 .71676 .16792 .72726 .16401 .72249 .1571 Metetra .667 .749 .911 r .72249 .1571 .72726 .16401 .73779 .1601 .73306 .15316 Metetra .667 .748 .911 r .73306 .15316 .73779 .1601 .74837 .15619 .74367 .14922 Metetra .666 .748 .911 r .74367 .14922 .74837 .15619 .75899 .15228 .75432 .14528 Metetra .309 .684 .977 r .14788 .37033 .15427 .37415 .16237 .37445 .15597 .37082 Metetra 0 .494 .856 r .15597 .37082 .16237 .37445 .17028 .37685 .16389 .37314 Metetra .452 0 0 r .16389 .37314 .17028 .37685 .17781 .38296 .17153 .37836 Metetra .746 .234 0 r .17153 .37836 .17781 .38296 .18471 .39559 .17875 .38801 Metetra .861 .431 .003 r .17875 .38801 .18471 .39559 .19056 .41895 .18538 .40387 Metetra .827 .495 0 r .18538 .40387 .19056 .41895 .19496 .45774 .19134 .42712 Metetra 0 0 .301 r .19134 .42712 .19496 .45774 .19796 .51264 .19684 .45655 Metetra .121 .035 .476 r .19684 .45655 .19796 .51264 .20294 .55132 .20248 .48668 Metetra .305 .167 .523 r .20248 .48668 .20294 .55132 .21224 .54832 .2091 .50919 Metetra .398 .274 .593 r .2091 .50919 .21224 .54832 .22157 .54532 .21718 .5183 Metetra .597 .452 .656 r .21718 .5183 .22157 .54532 .23094 .5423 .2266 .51428 Metetra .688 .512 .644 r .2266 .51428 .23094 .5423 .24034 .53927 .23687 .50129 Metetra .686 .489 .616 r .23687 .50129 .24034 .53927 .24979 .53622 .24751 .48372 Metetra .659 .452 .593 r .24751 .48372 .24979 .53622 .26145 .50673 .25823 .46463 Metetra .682 .48 .607 r .25823 .46463 .26145 .50673 .27285 .47911 .26888 .44574 Metetra .702 .509 .623 r .26888 .44574 .27285 .47911 .28389 .45478 .27939 .42786 Metetra .72 .535 .64 r .27939 .42786 .28389 .45478 .29462 .43344 .28975 .41131 Metetra .734 .561 .658 r .28975 .41131 .29462 .43344 .30508 .4147 .29996 .39614 Metetra .745 .584 .677 r .29996 .39614 .30508 .4147 .31534 .39816 .31004 .38229 Metetra .753 .607 .695 r .31004 .38229 .31534 .39816 .32544 .38346 .32001 .36964 Metetra .76 .627 .714 r .32001 .36964 .32544 .38346 .3354 .3703 .32989 .35806 Metetra .764 .647 .732 r .32989 .35806 .3354 .3703 .34526 .35844 .33969 .34743 Metetra .766 .664 .75 r .33969 .34743 .34526 .35844 .35505 .34767 .34944 .33762 Metetra .766 .679 .767 r .34944 .33762 .35505 .34767 .36477 .33783 .35914 .32853 Metetra .765 .693 .783 r .35914 .32853 .36477 .33783 .37444 .32877 .36881 .32007 Metetra .763 .705 .797 r .36881 .32007 .37444 .32877 .38408 .32039 .37845 .31217 Metetra .759 .715 .811 r .37845 .31217 .38408 .32039 .39371 .31258 .38808 .30474 Metetra .755 .724 .823 r .38808 .30474 .39371 .31258 .40331 .30527 .3977 .29773 Metetra .751 .731 .834 r .3977 .29773 .40331 .30527 .41291 .29838 .40731 .29109 Metetra .746 .737 .843 r .40731 .29109 .41291 .29838 .42251 .29187 .41693 .28477 Metetra .741 .742 .852 r .41693 .28477 .42251 .29187 .43212 .28569 .42655 .27873 Metetra .736 .746 .86 r .42655 .27873 .43212 .28569 .44173 .27978 .43619 .27295 Metetra .731 .749 .867 r .43619 .27295 .44173 .27978 .45136 .27412 .44584 .26738 Metetra .726 .751 .872 r .44584 .26738 .45136 .27412 .46101 .26868 .45551 .26202 Metetra .721 .753 .878 r .45551 .26202 .46101 .26868 .47067 .26343 .4652 .25682 Metetra .717 .755 .882 r .4652 .25682 .47067 .26343 .48036 .25834 .47491 .25177 Metetra .713 .756 .886 r .47491 .25177 .48036 .25834 .49007 .2534 .48464 .24686 Metetra .709 .756 .889 r .48464 .24686 .49007 .2534 .4998 .24859 .4944 .24207 Metetra .705 .757 .892 r .4944 .24207 .4998 .24859 .50956 .2439 .50419 .23739 Metetra .701 .757 .895 r .50419 .23739 .50956 .2439 .51935 .2393 .514 .2328 Metetra .698 .757 .897 r .514 .2328 .51935 .2393 .52917 .2348 .52385 .22829 Metetra .695 .757 .899 r .52385 .22829 .52917 .2348 .53903 .23037 .53373 .22386 Metetra .692 .757 .901 r .53373 .22386 .53903 .23037 .54891 .22601 .54364 .21949 Metetra .69 .756 .902 r .54364 .21949 .54891 .22601 .55883 .22171 .55358 .21518 Metetra .687 .756 .904 r .55358 .21518 .55883 .22171 .56878 .21747 .56356 .21092 Metetra .685 .756 .905 r .56356 .21092 .56878 .21747 .57876 .21327 .57357 .2067 Metetra .683 .755 .906 r .57357 .2067 .57876 .21327 .58878 .20912 .58362 .20253 Metetra .681 .755 .907 r .58362 .20253 .58878 .20912 .59884 .205 .5937 .19839 Metetra .68 .754 .907 r .5937 .19839 .59884 .205 .60893 .20091 .60382 .19428 Metetra .678 .754 .908 r .60382 .19428 .60893 .20091 .61906 .19686 .61398 .19019 Metetra .677 .753 .909 r .61398 .19019 .61906 .19686 .62923 .19282 .62418 .18613 Metetra .675 .753 .909 r .62418 .18613 .62923 .19282 .63943 .18881 .63441 .18209 Metetra .674 .752 .909 r .63441 .18209 .63943 .18881 .64968 .18481 .64468 .17806 Metetra .673 .752 .91 r .64468 .17806 .64968 .18481 .65996 .18082 .65499 .17405 Metetra .672 .751 .91 r .65499 .17405 .65996 .18082 .67028 .17685 .66534 .17005 Metetra .671 .751 .91 r .66534 .17005 .67028 .17685 .68064 .17289 .67573 .16606 Metetra .67 .75 .911 r .67573 .16606 .68064 .17289 .69105 .16894 .68616 .16208 Metetra .669 .75 .911 r .68616 .16208 .69105 .16894 .70149 .16499 .69663 .1581 Metetra .669 .75 .911 r .69663 .1581 .70149 .16499 .71197 .16105 .70714 .15412 Metetra .668 .749 .911 r .70714 .15412 .71197 .16105 .72249 .1571 .7177 .15015 Metetra .667 .749 .911 r .7177 .15015 .72249 .1571 .73306 .15316 .72829 .14618 Metetra .667 .748 .911 r .72829 .14618 .73306 .15316 .74367 .14922 .73893 .1422 Metetra .666 .748 .911 r .73893 .1422 .74367 .14922 .75432 .14528 .74961 .13823 Metetra .334 .683 .979 r .14148 .36616 .14788 .37033 .15597 .37082 .14958 .36661 Metetra .106 .551 .914 r .14958 .36661 .15597 .37082 .16389 .37314 .15755 .36858 Metetra 0 .302 .736 r .15755 .36858 .16389 .37314 .17153 .37836 .16532 .37271 Metetra .501 0 0 r .16532 .37271 .17153 .37836 .17875 .38801 .17282 .37979 Metetra .626 .18 0 r .17282 .37979 .17875 .38801 .18538 .40387 .18 .3905 Metetra 0 0 .382 r .18 .3905 .18538 .40387 .19134 .42712 .18687 .40498 Metetra 0 0 .491 r .18687 .40498 .19134 .42712 .19684 .45655 .19358 .42209 Metetra .164 .111 .546 r .19358 .42209 .19684 .45655 .20248 .48668 .20045 .43913 Metetra .358 .226 .561 r .20045 .43913 .20248 .48668 .2091 .50919 .20784 .45248 Metetra .464 .296 .568 r .20784 .45248 .2091 .50919 .21718 .5183 .21599 .4594 Metetra .529 .345 .576 r .21599 .4594 .21718 .5183 .2266 .51428 .22491 .45922 Metetra .576 .385 .585 r .22491 .45922 .2266 .51428 .23687 .50129 .23443 .45315 Metetra .613 .42 .597 r .23443 .45315 .23687 .50129 .24751 .48372 .24432 .44309 Metetra .643 .453 .61 r .24432 .44309 .24751 .48372 .25823 .46463 .2544 .43081 Metetra .668 .483 .625 r .2544 .43081 .25823 .46463 .26888 .44574 .26454 .4176 Metetra .69 .511 .641 r .26454 .4176 .26888 .44574 .27939 .42786 .27467 .40428 Metetra .707 .538 .657 r .27467 .40428 .27939 .42786 .28975 .41131 .28474 .39133 Metetra .722 .563 .674 r .28474 .39133 .28975 .41131 .29996 .39614 .29474 .37898 Metetra .734 .587 .692 r .29474 .37898 .29996 .39614 .31004 .38229 .30467 .36734 Metetra .743 .609 .709 r .30467 .36734 .31004 .38229 .32001 .36964 .31453 .35643 Metetra .749 .629 .727 r .31453 .35643 .32001 .36964 .32989 .35806 .32433 .34622 Metetra .754 .648 .744 r .32433 .34622 .32989 .35806 .33969 .34743 .33409 .33667 Metetra .757 .665 .76 r .33409 .33667 .33969 .34743 .34944 .33762 .3438 .32772 Metetra .757 .68 .776 r .3438 .32772 .34944 .33762 .35914 .32853 .35348 .31933 Metetra .757 .693 .79 r .35348 .31933 .35914 .32853 .36881 .32007 .36314 .31142 Metetra .755 .704 .804 r .36314 .31142 .36881 .32007 .37845 .31217 .37278 .30396 Metetra .753 .714 .816 r .37278 .30396 .37845 .31217 .38808 .30474 .38242 .29688 Metetra .749 .723 .828 r .38242 .29688 .38808 .30474 .3977 .29773 .39204 .29016 Metetra .745 .73 .838 r .39204 .29016 .3977 .29773 .40731 .29109 .40167 .28375 Metetra .741 .736 .847 r .40167 .28375 .40731 .29109 .41693 .28477 .41131 .27762 Metetra .737 .741 .855 r .41131 .27762 .41693 .28477 .42655 .27873 .42095 .27173 Metetra .732 .745 .862 r .42095 .27173 .42655 .27873 .43619 .27295 .43061 .26607 Metetra .728 .748 .868 r .43061 .26607 .43619 .27295 .44584 .26738 .44028 .2606 Metetra .723 .75 .874 r .44028 .2606 .44584 .26738 .45551 .26202 .44997 .2553 Metetra .719 .752 .879 r .44997 .2553 .45551 .26202 .4652 .25682 .45968 .25016 Metetra .715 .754 .883 r .45968 .25016 .4652 .25682 .47491 .25177 .46942 .24516 Metetra .711 .755 .887 r .46942 .24516 .47491 .25177 .48464 .24686 .47918 .24028 Metetra .707 .756 .89 r .47918 .24028 .48464 .24686 .4944 .24207 .48896 .23551 Metetra .704 .756 .893 r .48896 .23551 .4944 .24207 .50419 .23739 .49878 .23084 Metetra .7 .757 .895 r .49878 .23084 .50419 .23739 .514 .2328 .50862 .22625 Metetra .697 .757 .898 r .50862 .22625 .514 .2328 .52385 .22829 .51849 .22174 Metetra .694 .757 .9 r .51849 .22174 .52385 .22829 .53373 .22386 .5284 .2173 Metetra .692 .756 .901 r .5284 .2173 .53373 .22386 .54364 .21949 .53833 .21292 Metetra .689 .756 .903 r .53833 .21292 .54364 .21949 .55358 .21518 .5483 .2086 Metetra .687 .756 .904 r .5483 .2086 .55358 .21518 .56356 .21092 .55831 .20432 Metetra .685 .755 .905 r .55831 .20432 .56356 .21092 .57357 .2067 .56835 .20009 Metetra .683 .755 .906 r .56835 .20009 .57357 .2067 .58362 .20253 .57842 .19589 Metetra .681 .755 .907 r .57842 .19589 .58362 .20253 .5937 .19839 .58853 .19173 Metetra .68 .754 .908 r .58853 .19173 .5937 .19839 .60382 .19428 .59868 .1876 Metetra .678 .754 .908 r .59868 .1876 .60382 .19428 .61398 .19019 .60886 .18349 Metetra .677 .753 .909 r .60886 .18349 .61398 .19019 .62418 .18613 .61909 .1794 Metetra .675 .753 .909 r .61909 .1794 .62418 .18613 .63441 .18209 .62935 .17533 Metetra .674 .752 .91 r .62935 .17533 .63441 .18209 .64468 .17806 .63965 .17127 Metetra .673 .752 .91 r .63965 .17127 .64468 .17806 .65499 .17405 .64998 .16723 Metetra .672 .751 .91 r .64998 .16723 .65499 .17405 .66534 .17005 .66036 .1632 Metetra .671 .751 .91 r .66036 .1632 .66534 .17005 .67573 .16606 .67078 .15918 Metetra .67 .751 .911 r .67078 .15918 .67573 .16606 .68616 .16208 .68124 .15517 Metetra .67 .75 .911 r .68124 .15517 .68616 .16208 .69663 .1581 .69174 .15116 Metetra .669 .75 .911 r .69174 .15116 .69663 .1581 .70714 .15412 .70228 .14715 Metetra .668 .749 .911 r .70228 .14715 .70714 .15412 .7177 .15015 .71286 .14315 Metetra .668 .749 .911 r .71286 .14315 .7177 .15015 .72829 .14618 .72349 .13914 Metetra .667 .749 .911 r .72349 .13914 .72829 .14618 .73893 .1422 .73415 .13514 Metetra .666 .748 .911 r .73415 .13514 .73893 .1422 .74961 .13823 .74486 .13113 Metetra .375 .688 .98 r .13507 .36162 .14148 .36616 .14958 .36661 .14321 .3619 Metetra .224 .601 .95 r .14321 .3619 .14958 .36661 .15755 .36858 .15124 .36338 Metetra .023 .455 .873 r .15124 .36338 .15755 .36858 .16532 .37271 .15914 .36643 Metetra 0 .273 .76 r .15914 .36643 .16532 .37271 .17282 .37979 .16688 .37144 Metetra 0 .129 .67 r .16688 .37144 .17282 .37979 .18 .3905 .17444 .37861 Metetra 0 .083 .641 r .17444 .37861 .18 .3905 .18687 .40498 .18186 .3878 Metetra .028 .13 .637 r .18186 .3878 .18687 .40498 .19358 .42209 .18925 .3982 Metetra .231 .208 .625 r .18925 .3982 .19358 .42209 .20045 .43913 .19677 .40834 Metetra .371 .274 .614 r .19677 .40834 .20045 .43913 .20784 .45248 .20461 .41644 Metetra .462 .325 .609 r .20461 .41644 .20784 .45248 .21599 .4594 .21291 .42103 Metetra .523 .366 .609 r .21291 .42103 .21599 .4594 .22491 .45922 .22168 .42153 Metetra .569 .401 .615 r .22168 .42153 .22491 .45922 .23443 .45315 .23087 .4182 Metetra .605 .433 .623 r .23087 .4182 .23443 .45315 .24432 .44309 .24037 .41187 Metetra .634 .464 .634 r .24037 .41187 .24432 .44309 .2544 .43081 .25007 .40348 Metetra .659 .492 .647 r .25007 .40348 .2544 .43081 .26454 .4176 .25987 .39388 Metetra .68 .52 .661 r .25987 .39388 .26454 .4176 .27467 .40428 .26972 .3837 Metetra .698 .545 .676 r .26972 .3837 .27467 .40428 .28474 .39133 .27958 .37339 Metetra .712 .57 .692 r .27958 .37339 .28474 .39133 .29474 .37898 .28941 .36321 Metetra .724 .592 .708 r .28941 .36321 .29474 .37898 .30467 .36734 .29922 .35333 Metetra .733 .613 .724 r .29922 .35333 .30467 .36734 .31453 .35643 .30899 .34386 Metetra .74 .633 .74 r .30899 .34386 .31453 .35643 .32433 .34622 .31873 .33481 Metetra .745 .651 .756 r .31873 .33481 .32433 .34622 .33409 .33667 .32844 .3262 Metetra .748 .667 .771 r .32844 .3262 .33409 .33667 .3438 .32772 .33812 .31801 Metetra .749 .681 .785 r .33812 .31801 .3438 .32772 .35348 .31933 .34779 .31023 Metetra .749 .694 .799 r .34779 .31023 .35348 .31933 .36314 .31142 .35744 .30283 Metetra .748 .705 .811 r .35744 .30283 .36314 .31142 .37278 .30396 .36708 .29578 Metetra .746 .714 .822 r .36708 .29578 .37278 .30396 .38242 .29688 .37672 .28904 Metetra .743 .723 .832 r .37672 .28904 .38242 .29688 .39204 .29016 .38636 .28258 Metetra .74 .729 .842 r .38636 .28258 .39204 .29016 .40167 .28375 .396 .27639 Metetra .736 .735 .85 r .396 .27639 .40167 .28375 .41131 .27762 .40565 .27044 Metetra .732 .74 .858 r .40565 .27044 .41131 .27762 .42095 .27173 .41531 .2647 Metetra .728 .744 .864 r .41531 .2647 .42095 .27173 .43061 .26607 .42499 .25914 Metetra .724 .747 .87 r .42499 .25914 .43061 .26607 .44028 .2606 .43468 .25377 Metetra .72 .75 .875 r .43468 .25377 .44028 .2606 .44997 .2553 .4444 .24854 Metetra .716 .752 .88 r .4444 .24854 .44997 .2553 .45968 .25016 .45413 .24345 Metetra .712 .753 .884 r .45413 .24345 .45968 .25016 .46942 .24516 .46389 .23849 Metetra .709 .754 .888 r .46389 .23849 .46942 .24516 .47918 .24028 .47368 .23364 Metetra .705 .755 .891 r .47368 .23364 .47918 .24028 .48896 .23551 .48349 .22889 Metetra .702 .756 .893 r .48349 .22889 .48896 .23551 .49878 .23084 .49333 .22423 Metetra .699 .756 .896 r .49333 .22423 .49878 .23084 .50862 .22625 .50319 .21965 Metetra .696 .756 .898 r .50319 .21965 .50862 .22625 .51849 .22174 .51309 .21514 Metetra .694 .756 .9 r .51309 .21514 .51849 .22174 .5284 .2173 .52302 .2107 Metetra .691 .756 .901 r .52302 .2107 .5284 .2173 .53833 .21292 .53299 .20631 Metetra .689 .756 .903 r .53299 .20631 .53833 .21292 .5483 .2086 .54298 .20197 Metetra .687 .756 .904 r .54298 .20197 .5483 .2086 .55831 .20432 .55302 .19768 Metetra .685 .755 .905 r .55302 .19768 .55831 .20432 .56835 .20009 .56308 .19343 Metetra .683 .755 .906 r .56308 .19343 .56835 .20009 .57842 .19589 .57318 .18921 Metetra .681 .755 .907 r .57318 .18921 .57842 .19589 .58853 .19173 .58332 .18503 Metetra .679 .754 .908 r .58332 .18503 .58853 .19173 .59868 .1876 .5935 .18087 Metetra .678 .754 .908 r .5935 .18087 .59868 .1876 .60886 .18349 .60371 .17673 Metetra .677 .753 .909 r .60371 .17673 .60886 .18349 .61909 .1794 .61396 .17262 Metetra .675 .753 .909 r .61396 .17262 .61909 .1794 .62935 .17533 .62425 .16852 Metetra .674 .752 .91 r .62425 .16852 .62935 .17533 .63965 .17127 .63458 .16444 Metetra .673 .752 .91 r .63458 .16444 .63965 .17127 .64998 .16723 .64494 .16037 Metetra .672 .752 .91 r .64494 .16037 .64998 .16723 .66036 .1632 .65535 .15631 Metetra .671 .751 .911 r .65535 .15631 .66036 .1632 .67078 .15918 .6658 .15226 Metetra .67 .751 .911 r .6658 .15226 .67078 .15918 .68124 .15517 .67628 .14821 Metetra .67 .75 .911 r .67628 .14821 .68124 .15517 .69174 .15116 .68681 .14417 Metetra .669 .75 .911 r .68681 .14417 .69174 .15116 .70228 .14715 .69738 .14014 Metetra .668 .75 .911 r .69738 .14014 .70228 .14715 .71286 .14315 .708 .1361 Metetra .668 .749 .911 r .708 .1361 .71286 .14315 .72349 .13914 .71865 .13207 Metetra .667 .749 .911 r .71865 .13207 .72349 .13914 .73415 .13514 .72935 .12803 Metetra .667 .749 .912 r .72935 .12803 .73415 .13514 .74486 .13113 .74008 .12399 Metetra .418 .695 .977 r .12866 .35675 .13507 .36162 .14321 .3619 .13684 .35677 Metetra .321 .637 .964 r .13684 .35677 .14321 .3619 .15124 .36338 .14494 .35772 Metetra .205 .55 .931 r .14494 .35772 .15124 .36338 .15914 .36643 .15296 .3598 Metetra .098 .444 .88 r .15296 .3598 .15914 .36643 .16688 .37144 .16089 .36318 Metetra .048 .349 .825 r .16089 .36318 .16688 .37144 .17444 .37861 .16872 .36788 Metetra .086 .296 .777 r .16872 .36788 .17444 .37861 .18186 .3878 .1765 .3737 Metetra .19 .288 .735 r .1765 .3737 .18186 .3878 .18925 .3982 .1843 .38009 Metetra .306 .308 .698 r .1843 .38009 .18925 .3982 .19677 .40834 .19222 .3862 Metetra .401 .338 .672 r .19222 .3862 .19677 .40834 .20461 .41644 .20035 .39105 Metetra .473 .369 .656 r .20035 .39105 .20461 .41644 .21291 .42103 .20878 .3938 Metetra .526 .399 .65 r .20878 .3938 .21291 .42103 .22168 .42153 .21752 .39403 Metetra .568 .427 .65 r .21752 .39403 .22168 .42153 .23087 .4182 .22657 .39173 Metetra .602 .455 .655 r .22657 .39173 .23087 .4182 .24037 .41187 .23586 .38725 Metetra .63 .482 .663 r .23586 .38725 .24037 .41187 .25007 .40348 .24533 .38108 Metetra .653 .508 .673 r .24533 .38108 .25007 .40348 .25987 .39388 .25492 .37375 Metetra .674 .532 .685 r .25492 .37375 .25987 .39388 .26972 .3837 .26458 .36569 Metetra .69 .556 .698 r .26458 .36569 .26972 .3837 .27958 .37339 .27427 .35726 Metetra .705 .579 .712 r .27427 .35726 .27958 .37339 .28941 .36321 .28398 .34872 Metetra .716 .6 .726 r .28398 .34872 .28941 .36321 .29922 .35333 .29369 .34023 Metetra .725 .62 .74 r .29369 .34023 .29922 .35333 .30899 .34386 .30339 .33192 Metetra .732 .638 .755 r .30339 .33192 .30899 .34386 .31873 .33481 .31307 .32384 Metetra .737 .655 .769 r .31307 .32384 .31873 .33481 .32844 .3262 .32274 .31603 Metetra .74 .67 .782 r .32274 .31603 .32844 .3262 .33812 .31801 .3324 .30851 Metetra .742 .683 .795 r .3324 .30851 .33812 .31801 .34779 .31023 .34205 .30128 Metetra .742 .695 .807 r .34205 .30128 .34779 .31023 .35744 .30283 .3517 .29432 Metetra .741 .706 .818 r .3517 .29432 .35744 .30283 .36708 .29578 .36134 .28764 Metetra .74 .715 .828 r .36134 .28764 .36708 .29578 .37672 .28904 .37098 .2812 Metetra .737 .722 .837 r .37098 .2812 .37672 .28904 .38636 .28258 .38063 .275 Metetra .735 .729 .846 r .38063 .275 .38636 .28258 .396 .27639 .39029 .26902 Metetra .731 .735 .854 r .39029 .26902 .396 .27639 .40565 .27044 .39996 .26323 Metetra .728 .739 .86 r .39996 .26323 .40565 .27044 .41531 .2647 .40964 .25762 Metetra .725 .743 .867 r .40964 .25762 .41531 .2647 .42499 .25914 .41933 .25218 Metetra .721 .746 .872 r .41933 .25218 .42499 .25914 .43468 .25377 .42905 .24689 Metetra .717 .749 .877 r .42905 .24689 .43468 .25377 .4444 .24854 .43879 .24173 Metetra .714 .751 .881 r .43879 .24173 .4444 .24854 .45413 .24345 .44854 .2367 Metetra .71 .752 .885 r .44854 .2367 .45413 .24345 .46389 .23849 .45833 .23178 Metetra .707 .754 .888 r .45833 .23178 .46389 .23849 .47368 .23364 .46814 .22696 Metetra .704 .755 .891 r .46814 .22696 .47368 .23364 .48349 .22889 .47797 .22223 Metetra .701 .755 .894 r .47797 .22223 .48349 .22889 .49333 .22423 .48784 .21758 Metetra .698 .756 .896 r .48784 .21758 .49333 .22423 .50319 .21965 .49773 .213 Metetra .695 .756 .898 r .49773 .213 .50319 .21965 .51309 .21514 .50766 .20849 Metetra .693 .756 .9 r .50766 .20849 .51309 .21514 .52302 .2107 .51761 .20404 Metetra .69 .756 .902 r .51761 .20404 .52302 .2107 .53299 .20631 .5276 .19965 Metetra .688 .756 .903 r .5276 .19965 .53299 .20631 .54298 .20197 .53763 .1953 Metetra .686 .756 .904 r .53763 .1953 .54298 .20197 .55302 .19768 .54769 .19099 Metetra .684 .755 .905 r .54769 .19099 .55302 .19768 .56308 .19343 .55778 .18672 Metetra .683 .755 .906 r .55778 .18672 .56308 .19343 .57318 .18921 .56791 .18248 Metetra .681 .755 .907 r .56791 .18248 .57318 .18921 .58332 .18503 .57807 .17827 Metetra .679 .754 .908 r .57807 .17827 .58332 .18503 .5935 .18087 .58828 .17409 Metetra .678 .754 .908 r .58828 .17409 .5935 .18087 .60371 .17673 .59852 .16993 Metetra .677 .753 .909 r .59852 .16993 .60371 .17673 .61396 .17262 .6088 .16579 Metetra .675 .753 .909 r .6088 .16579 .61396 .17262 .62425 .16852 .61911 .16167 Metetra .674 .753 .91 r .61911 .16167 .62425 .16852 .63458 .16444 .62947 .15756 Metetra .673 .752 .91 r .62947 .15756 .63458 .16444 .64494 .16037 .63986 .15346 Metetra .672 .752 .91 r .63986 .15346 .64494 .16037 .65535 .15631 .6503 .14937 Metetra .671 .751 .911 r .6503 .14937 .65535 .15631 .6658 .15226 .66078 .14529 Metetra .671 .751 .911 r .66078 .14529 .6658 .15226 .67628 .14821 .67129 .14121 Metetra .67 .751 .911 r .67129 .14121 .67628 .14821 .68681 .14417 .68185 .13714 Metetra .669 .75 .911 r .68185 .13714 .68681 .14417 .69738 .14014 .69245 .13307 Metetra .668 .75 .911 r .69245 .13307 .69738 .14014 .708 .1361 .70309 .12901 Metetra .668 .749 .911 r .70309 .12901 .708 .1361 .71865 .13207 .71377 .12494 Metetra .667 .749 .912 r .71377 .12494 .71865 .13207 .72935 .12803 .7245 .12087 Metetra .667 .749 .912 r .7245 .12087 .72935 .12803 .74008 .12399 .73527 .1168 Metetra .458 .7 .972 r .12223 .35159 .12866 .35675 .13684 .35677 .13046 .35131 Metetra .395 .66 .965 r .13046 .35131 .13684 .35677 .14494 .35772 .13864 .35174 Metetra .327 .605 .948 r .13864 .35174 .14494 .35772 .15296 .3598 .14677 .35298 Metetra .269 .54 .92 r .14677 .35298 .15296 .3598 .16089 .36318 .15484 .35509 Metetra .242 .476 .883 r .15484 .35509 .16089 .36318 .16872 .36788 .16288 .35803 Metetra .258 .429 .841 r .16288 .35803 .16872 .36788 .1765 .3737 .17091 .3616 Metetra .309 .403 .797 r .17091 .3616 .1765 .3737 .1843 .38009 .17897 .36542 Metetra .375 .398 .756 r .17897 .36542 .1843 .38009 .19222 .3862 .18714 .36899 Metetra .438 .406 .725 r .18714 .36899 .19222 .3862 .20035 .39105 .19547 .37172 Metetra .492 .421 .704 r .19547 .37172 .20035 .39105 .20878 .3938 .20401 .3731 Metetra .536 .439 .692 r .20401 .3731 .20878 .3938 .21752 .39403 .21277 .37282 Metetra .572 .46 .688 r .21277 .37282 .21752 .39403 .22657 .39173 .22176 .37083 Metetra .603 .482 .688 r .22176 .37083 .22657 .39173 .23586 .38725 .23093 .36725 Metetra .628 .505 .693 r .23093 .36725 .23586 .38725 .24533 .38108 .24027 .36235 Metetra .65 .527 .7 r .24027 .36235 .24533 .38108 .25492 .37375 .24972 .35643 Metetra .669 .549 .709 r .24972 .35643 .25492 .37375 .26458 .36569 .25925 .3498 Metetra .685 .57 .72 r .25925 .3498 .26458 .36569 .27427 .35726 .26884 .34271 Metetra .698 .59 .732 r .26884 .34271 .27427 .35726 .28398 .34872 .27845 .33539 Metetra .709 .61 .744 r .27845 .33539 .28398 .34872 .29369 .34023 .28808 .32797 Metetra .718 .628 .756 r .28808 .32797 .29369 .34023 .30339 .33192 .29772 .32058 Metetra .724 .644 .769 r .29772 .32058 .30339 .33192 .31307 .32384 .30736 .3133 Metetra .729 .66 .781 r .30736 .3133 .31307 .32384 .32274 .31603 .317 .30616 Metetra .733 .674 .793 r .317 .30616 .32274 .31603 .3324 .30851 .32664 .29921 Metetra .734 .686 .804 r .32664 .29921 .3324 .30851 .34205 .30128 .33628 .29246 Metetra .735 .697 .815 r .33628 .29246 .34205 .30128 .3517 .29432 .34592 .2859 Metetra .735 .707 .825 r .34592 .2859 .3517 .29432 .36134 .28764 .35556 .27955 Metetra .734 .715 .834 r .35556 .27955 .36134 .28764 .37098 .2812 .36521 .27339 Metetra .732 .723 .842 r .36521 .27339 .37098 .2812 .38063 .275 .37487 .26742 Metetra .73 .729 .85 r .37487 .26742 .38063 .275 .39029 .26902 .38454 .26163 Metetra .727 .734 .857 r .38454 .26163 .39029 .26902 .39996 .26323 .39422 .25599 Metetra .724 .739 .863 r .39422 .25599 .39996 .26323 .40964 .25762 .40392 .25051 Metetra .721 .743 .869 r .40392 .25051 .40964 .25762 .41933 .25218 .41364 .24518 Metetra .718 .746 .874 r .41364 .24518 .41933 .25218 .42905 .24689 .42338 .23997 Metetra .714 .748 .878 r .42338 .23997 .42905 .24689 .43879 .24173 .43314 .23488 Metetra .711 .75 .883 r .43314 .23488 .43879 .24173 .44854 .2367 .44292 .2299 Metetra .708 .752 .886 r .44292 .2299 .44854 .2367 .45833 .23178 .45272 .22501 Metetra .705 .753 .889 r .45272 .22501 .45833 .23178 .46814 .22696 .46256 .22022 Metetra .702 .754 .892 r .46256 .22022 .46814 .22696 .47797 .22223 .47242 .21551 Metetra .699 .755 .895 r .47242 .21551 .47797 .22223 .48784 .21758 .48231 .21087 Metetra .697 .755 .897 r .48231 .21087 .48784 .21758 .49773 .213 .49223 .2063 Metetra .694 .755 .899 r .49223 .2063 .49773 .213 .50766 .20849 .50218 .2018 Metetra .692 .756 .9 r .50218 .2018 .50766 .20849 .51761 .20404 .51217 .19734 Metetra .69 .756 .902 r .51217 .19734 .51761 .20404 .5276 .19965 .52218 .19293 Metetra .688 .755 .903 r .52218 .19293 .5276 .19965 .53763 .1953 .53223 .18857 Metetra .686 .755 .904 r .53223 .18857 .53763 .1953 .54769 .19099 .54232 .18425 Metetra .684 .755 .905 r .54232 .18425 .54769 .19099 .55778 .18672 .55244 .17996 Metetra .682 .755 .906 r .55244 .17996 .55778 .18672 .56791 .18248 .5626 .1757 Metetra .681 .755 .907 r .5626 .1757 .56791 .18248 .57807 .17827 .57279 .17147 Metetra .679 .754 .908 r .57279 .17147 .57807 .17827 .58828 .17409 .58302 .16727 Metetra .678 .754 .908 r .58302 .16727 .58828 .17409 .59852 .16993 .59329 .16308 Metetra .677 .753 .909 r .59329 .16308 .59852 .16993 .6088 .16579 .60359 .15892 Metetra .675 .753 .909 r .60359 .15892 .6088 .16579 .61911 .16167 .61394 .15476 Metetra .674 .753 .91 r .61394 .15476 .61911 .16167 .62947 .15756 .62432 .15063 Metetra .673 .752 .91 r .62432 .15063 .62947 .15756 .63986 .15346 .63475 .1465 Metetra .672 .752 .91 r .63475 .1465 .63986 .15346 .6503 .14937 .64521 .14238 Metetra .671 .751 .911 r .64521 .14238 .6503 .14937 .66078 .14529 .65572 .13827 Metetra .671 .751 .911 r .65572 .13827 .66078 .14529 .67129 .14121 .66626 .13416 Metetra .67 .751 .911 r .66626 .13416 .67129 .14121 .68185 .13714 .67685 .13006 Metetra .669 .75 .911 r .67685 .13006 .68185 .13714 .69245 .13307 .68748 .12596 Metetra .669 .75 .911 r .68748 .12596 .69245 .13307 .70309 .12901 .69815 .12186 Metetra .668 .75 .912 r .69815 .12186 .70309 .12901 .71377 .12494 .70886 .11776 Metetra .667 .749 .912 r .70886 .11776 .71377 .12494 .7245 .12087 .71962 .11366 Metetra .667 .749 .912 r .71962 .11366 .7245 .12087 .73527 .1168 .73042 .10956 Metetra .491 .705 .965 r .11579 .34618 .12223 .35159 .13046 .35131 .12406 .3456 Metetra .45 .676 .961 r .12406 .3456 .13046 .35131 .13864 .35174 .13231 .34555 Metetra .409 .638 .95 r .13231 .34555 .13864 .35174 .14677 .35298 .14053 .34608 Metetra .376 .594 .931 r .14053 .34608 .14677 .35298 .15484 .35509 .14873 .3472 Metetra .36 .55 .904 r .14873 .3472 .15484 .35509 .16288 .35803 .15692 .34884 Metetra .367 .512 .871 r .15692 .34884 .16288 .35803 .17091 .3616 .16513 .35084 Metetra .394 .485 .834 r .16513 .35084 .17091 .3616 .17897 .36542 .17338 .35294 Metetra .433 .471 .799 r .17338 .35294 .17897 .36542 .18714 .36899 .18172 .35481 Metetra .475 .467 .769 r .18172 .35481 .18714 .36899 .19547 .37172 .19019 .35608 Metetra .515 .472 .747 r .19019 .35608 .19547 .37172 .20401 .3731 .19882 .35644 Metetra .549 .482 .732 r .19882 .35644 .20401 .3731 .21277 .37282 .20762 .35566 Metetra .58 .496 .724 r .20762 .35566 .21277 .37282 .22176 .37083 .21658 .35367 Metetra .606 .512 .722 r .21658 .35367 .22176 .37083 .23093 .36725 .22571 .35051 Metetra .629 .53 .723 r .22571 .35051 .23093 .36725 .24027 .36235 .23496 .34632 Metetra .649 .548 .727 r .23496 .34632 .24027 .36235 .24972 .35643 .24433 .34129 Metetra .666 .567 .734 r .24433 .34129 .24972 .35643 .25925 .3498 .25377 .33561 Metetra .681 .585 .742 r .25377 .33561 .25925 .3498 .26884 .34271 .26327 .32948 Metetra .693 .603 .751 r .26327 .32948 .26884 .34271 .27845 .33539 .27282 .32305 Metetra .703 .62 .762 r .27282 .32305 .27845 .33539 .28808 .32797 .28239 .31646 Metetra .711 .636 .772 r .28239 .31646 .28808 .32797 .29772 .32058 .29198 .30981 Metetra .718 .651 .783 r .29198 .30981 .29772 .32058 .30736 .3133 .30159 .30317 Metetra .722 .665 .793 r .30159 .30317 .30736 .3133 .317 .30616 .3112 .29659 Metetra .726 .678 .803 r .3112 .29659 .317 .30616 .32664 .29921 .32083 .29012 Metetra .728 .689 .813 r .32083 .29012 .32664 .29921 .33628 .29246 .33046 .28378 Metetra .729 .699 .823 r .33046 .28378 .33628 .29246 .34592 .2859 .3401 .27758 Metetra .729 .708 .831 r .3401 .27758 .34592 .2859 .35556 .27955 .34974 .27152 Metetra .728 .716 .839 r .34974 .27152 .35556 .27955 .36521 .27339 .3594 .26561 Metetra .727 .723 .847 r .3594 .26561 .36521 .27339 .37487 .26742 .36907 .25985 Metetra .725 .729 .854 r .36907 .25985 .37487 .26742 .38454 .26163 .37875 .25422 Metetra .723 .734 .86 r .37875 .25422 .38454 .26163 .39422 .25599 .38845 .24874 Metetra .72 .739 .866 r .38845 .24874 .39422 .25599 .40392 .25051 .39817 .24338 Metetra .717 .742 .871 r .39817 .24338 .40392 .25051 .41364 .24518 .40791 .23814 Metetra .715 .745 .876 r .40791 .23814 .41364 .24518 .42338 .23997 .41767 .23301 Metetra .712 .748 .88 r .41767 .23301 .42338 .23997 .43314 .23488 .42745 .22798 Metetra .709 .75 .884 r .42745 .22798 .43314 .23488 .44292 .2299 .43725 .22305 Metetra .706 .751 .887 r .43725 .22305 .44292 .2299 .45272 .22501 .44708 .2182 Metetra .703 .752 .89 r .44708 .2182 .45272 .22501 .46256 .22022 .45694 .21344 Metetra .701 .753 .893 r .45694 .21344 .46256 .22022 .47242 .21551 .46683 .20874 Metetra .698 .754 .895 r .46683 .20874 .47242 .21551 .48231 .21087 .47674 .20412 Metetra .696 .755 .897 r .47674 .20412 .48231 .21087 .49223 .2063 .48669 .19955 Metetra .693 .755 .899 r .48669 .19955 .49223 .2063 .50218 .2018 .49667 .19505 Metetra .691 .755 .901 r .49667 .19505 .50218 .2018 .51217 .19734 .50668 .19059 Metetra .689 .755 .902 r .50668 .19059 .51217 .19734 .52218 .19293 .51672 .18617 Metetra .687 .755 .903 r .51672 .18617 .52218 .19293 .53223 .18857 .5268 .1818 Metetra .685 .755 .905 r .5268 .1818 .53223 .18857 .54232 .18425 .53691 .17746 Metetra .684 .755 .905 r .53691 .17746 .54232 .18425 .55244 .17996 .54706 .17315 Metetra .682 .755 .906 r .54706 .17315 .55244 .17996 .5626 .1757 .55724 .16888 Metetra .68 .754 .907 r .55724 .16888 .5626 .1757 .57279 .17147 .56746 .16462 Metetra .679 .754 .908 r .56746 .16462 .57279 .17147 .58302 .16727 .57772 .16039 Metetra .678 .754 .908 r .57772 .16039 .58302 .16727 .59329 .16308 .58802 .15618 Metetra .677 .753 .909 r .58802 .15618 .59329 .16308 .60359 .15892 .59835 .15199 Metetra .675 .753 .909 r .59835 .15199 .60359 .15892 .61394 .15476 .60873 .14781 Metetra .674 .753 .91 r .60873 .14781 .61394 .15476 .62432 .15063 .61914 .14365 Metetra .673 .752 .91 r .61914 .14365 .62432 .15063 .63475 .1465 .62959 .13949 Metetra .672 .752 .91 r .62959 .13949 .63475 .1465 .64521 .14238 .64009 .13534 Metetra .672 .752 .911 r .64009 .13534 .64521 .14238 .65572 .13827 .65062 .1312 Metetra .671 .751 .911 r .65062 .1312 .65572 .13827 .66626 .13416 .6612 .12706 Metetra .67 .751 .911 r .6612 .12706 .66626 .13416 .67685 .13006 .67181 .12293 Metetra .669 .751 .911 r .67181 .12293 .67685 .13006 .68748 .12596 .68247 .1188 Metetra .669 .75 .911 r .68247 .1188 .68748 .12596 .69815 .12186 .69317 .11467 Metetra .668 .75 .912 r .69317 .11467 .69815 .12186 .70886 .11776 .70392 .11054 Metetra .667 .749 .912 r .70392 .11054 .70886 .11776 .71962 .11366 .7147 .1064 Metetra .667 .749 .912 r .7147 .1064 .71962 .11366 .73042 .10956 .72554 .10227 Metetra .518 .709 .958 r .10933 .34056 .11579 .34618 .12406 .3456 .11765 .33969 Metetra .491 .687 .954 r .11765 .33969 .12406 .3456 .13231 .34555 .12596 .33921 Metetra .465 .659 .946 r .12596 .33921 .13231 .34555 .14053 .34608 .13426 .33915 Metetra .445 .628 .932 r .13426 .33915 .14053 .34608 .14873 .3472 .14257 .33949 Metetra .436 .596 .911 r .14257 .33949 .14873 .3472 .15692 .34884 .15088 .34015 Metetra .439 .567 .886 r .15088 .34015 .15692 .34884 .16513 .35084 .15921 .34102 Metetra .455 .543 .857 r .15921 .34102 .16513 .35084 .17338 .35294 .1676 .34191 Metetra .48 .527 .829 r .1676 .34191 .17338 .35294 .18172 .35481 .17607 .3426 Metetra .508 .519 .803 r .17607 .3426 .18172 .35481 .19019 .35608 .18465 .34284 Metetra .537 .518 .782 r .18465 .34284 .19019 .35608 .19882 .35644 .19334 .34242 Metetra .564 .522 .767 r .19334 .34242 .19882 .35644 .20762 .35566 .20218 .34119 Metetra .589 .531 .758 r .20218 .34119 .20762 .35566 .21658 .35367 .21115 .33908 Metetra .611 .542 .753 r .21115 .33908 .21658 .35367 .22571 .35051 .22024 .3361 Metetra .631 .556 .751 r .22024 .3361 .22571 .35051 .23496 .34632 .22946 .33231 Metetra .649 .571 .753 r .22946 .33231 .23496 .34632 .24433 .34129 .23876 .32784 Metetra .664 .586 .757 r .23876 .32784 .24433 .34129 .25377 .33561 .24815 .3228 Metetra .677 .601 .763 r .24815 .3228 .25377 .33561 .26327 .32948 .2576 .31734 Metetra .688 .617 .77 r .2576 .31734 .26327 .32948 .27282 .32305 .26709 .31157 Metetra .698 .631 .779 r .26709 .31157 .27282 .32305 .28239 .31646 .27662 .30561 Metetra .706 .646 .787 r .27662 .30561 .28239 .31646 .29198 .30981 .28618 .29953 Metetra .712 .659 .796 r .28618 .29953 .29198 .30981 .30159 .30317 .29576 .29341 Metetra .716 .671 .805 r .29576 .29341 .30159 .30317 .3112 .29659 .30536 .2873 Metetra .72 .683 .813 r .30536 .2873 .3112 .29659 .32083 .29012 .31497 .28123 Metetra .722 .693 .822 r .31497 .28123 .32083 .29012 .33046 .28378 .32459 .27524 Metetra .723 .702 .83 r .32459 .27524 .33046 .28378 .3401 .27758 .33423 .26934 Metetra .723 .71 .838 r .33423 .26934 .3401 .27758 .34974 .27152 .34388 .26355 Metetra .723 .718 .845 r .34388 .26355 .34974 .27152 .3594 .26561 .35355 .25786 Metetra .722 .724 .852 r .35355 .25786 .3594 .26561 .36907 .25985 .36323 .25228 Metetra .72 .729 .858 r .36323 .25228 .36907 .25985 .37875 .25422 .37293 .24682 Metetra .718 .734 .863 r .37293 .24682 .37875 .25422 .38845 .24874 .38264 .24146 Metetra .716 .738 .869 r .38264 .24146 .38845 .24874 .39817 .24338 .39238 .23621 Metetra .714 .742 .873 r .39238 .23621 .39817 .24338 .40791 .23814 .40214 .23106 Metetra .712 .745 .878 r .40214 .23106 .40791 .23814 .41767 .23301 .41192 .226 Metetra .709 .747 .882 r .41192 .226 .41767 .23301 .42745 .22798 .42172 .22104 Metetra .707 .749 .885 r .42172 .22104 .42745 .22798 .43725 .22305 .43155 .21615 Metetra .704 .751 .888 r .43155 .21615 .43725 .22305 .44708 .2182 .4414 .21134 Metetra .702 .752 .891 r .4414 .21134 .44708 .2182 .45694 .21344 .45128 .2066 Metetra .699 .753 .893 r .45128 .2066 .45694 .21344 .46683 .20874 .4612 .20193 Metetra .697 .754 .896 r .4612 .20193 .46683 .20874 .47674 .20412 .47114 .19731 Metetra .695 .754 .898 r .47114 .19731 .47674 .20412 .48669 .19955 .48111 .19275 Metetra .692 .755 .899 r .48111 .19275 .48669 .19955 .49667 .19505 .49111 .18824 Metetra .69 .755 .901 r .49111 .18824 .49667 .19505 .50668 .19059 .50115 .18378 Metetra .688 .755 .902 r .50115 .18378 .50668 .19059 .51672 .18617 .51122 .17936 Metetra .687 .755 .904 r .51122 .17936 .51672 .18617 .5268 .1818 .52133 .17497 Metetra .685 .755 .905 r .52133 .17497 .5268 .1818 .53691 .17746 .53146 .17062 Metetra .683 .755 .906 r .53146 .17062 .53691 .17746 .54706 .17315 .54164 .16629 Metetra .682 .755 .906 r .54164 .16629 .54706 .17315 .55724 .16888 .55185 .162 Metetra .68 .754 .907 r .55185 .162 .55724 .16888 .56746 .16462 .5621 .15772 Metetra .679 .754 .908 r .5621 .15772 .56746 .16462 .57772 .16039 .57239 .15347 Metetra .678 .754 .908 r .57239 .15347 .57772 .16039 .58802 .15618 .58271 .14923 Metetra .676 .753 .909 r .58271 .14923 .58802 .15618 .59835 .15199 .59308 .14502 Metetra .675 .753 .909 r .59308 .14502 .59835 .15199 .60873 .14781 .60348 .14081 Metetra .674 .753 .91 r .60348 .14081 .60873 .14781 .61914 .14365 .61392 .13662 Metetra .673 .752 .91 r .61392 .13662 .61914 .14365 .62959 .13949 .6244 .13243 Metetra .672 .752 .91 r .6244 .13243 .62959 .13949 .64009 .13534 .63492 .12825 Metetra .672 .752 .911 r .63492 .12825 .64009 .13534 .65062 .1312 .64549 .12408 Metetra .671 .751 .911 r .64549 .12408 .65062 .1312 .6612 .12706 .65609 .11991 Metetra .67 .751 .911 r .65609 .11991 .6612 .12706 .67181 .12293 .66674 .11575 Metetra .669 .751 .911 r .66674 .11575 .67181 .12293 .68247 .1188 .67743 .11159 Metetra .669 .75 .911 r .67743 .11159 .68247 .1188 .69317 .11467 .68816 .10742 Metetra .668 .75 .912 r .68816 .10742 .69317 .11467 .70392 .11054 .69893 .10326 Metetra .668 .75 .912 r .69893 .10326 .70392 .11054 .7147 .1064 .70975 .09909 Metetra .667 .749 .912 r .70975 .09909 .7147 .1064 .72554 .10227 .72061 .09492 Metetra .54 .712 .951 r .10284 .33478 .10933 .34056 .11765 .33969 .11121 .33363 Metetra .522 .695 .947 r .11121 .33363 .11765 .33969 .12596 .33921 .11958 .33277 Metetra .505 .674 .94 r .11958 .33277 .12596 .33921 .13426 .33915 .12795 .33222 Metetra .492 .651 .929 r .12795 .33222 .13426 .33915 .14257 .33949 .13634 .33193 Metetra .487 .627 .914 r .13634 .33193 .14257 .33949 .15088 .34015 .14474 .33185 Metetra .489 .604 .894 r .14474 .33185 .15088 .34015 .15921 .34102 .15318 .33188 Metetra .499 .585 .872 r .15318 .33188 .15921 .34102 .1676 .34191 .16168 .33189 Metetra .516 .57 .849 r .16168 .33189 .1676 .34191 .17607 .3426 .17024 .33171 Metetra .536 .561 .828 r .17024 .33171 .17607 .3426 .18465 .34284 .1789 .3312 Metetra .557 .557 .81 r .1789 .3312 .18465 .34284 .19334 .34242 .18766 .33019 Metetra .578 .558 .796 r .18766 .33019 .19334 .34242 .20218 .34119 .19652 .32858 Metetra .598 .563 .786 r .19652 .32858 .20218 .34119 .21115 .33908 .20551 .32631 Metetra .617 .571 .78 r .20551 .32631 .21115 .33908 .22024 .3361 .2146 .32338 Metetra .634 .581 .777 r .2146 .32338 .22024 .3361 .22946 .33231 .22378 .31981 Metetra .649 .592 .777 r .22378 .31981 .22946 .33231 .23876 .32784 .23306 .31568 Metetra .663 .604 .779 r .23306 .31568 .23876 .32784 .24815 .3228 .24241 .31108 Metetra .675 .617 .783 r .24241 .31108 .24815 .3228 .2576 .31734 .25182 .30609 Metetra .685 .63 .788 r .25182 .30609 .2576 .31734 .26709 .31157 .26128 .30081 Metetra .693 .643 .794 r .26128 .30081 .26709 .31157 .27662 .30561 .27078 .29532 Metetra .701 .655 .801 r .27078 .29532 .27662 .30561 .28618 .29953 .28032 .2897 Metetra .706 .666 .808 r .28032 .2897 .28618 .29953 .29576 .29341 .28988 .28399 Metetra .711 .677 .816 r .28988 .28399 .29576 .29341 .30536 .2873 .29946 .27826 Metetra .714 .687 .823 r .29946 .27826 .30536 .2873 .31497 .28123 .30906 .27253 Metetra .716 .696 .83 r .30906 .27253 .31497 .28123 .32459 .27524 .31869 .26684 Metetra .717 .705 .837 r .31869 .26684 .32459 .27524 .33423 .26934 .32833 .2612 Metetra .718 .712 .844 r .32833 .2612 .33423 .26934 .34388 .26355 .33798 .25563 Metetra .718 .719 .85 r .33798 .25563 .34388 .26355 .35355 .25786 .34766 .25014 Metetra .717 .725 .856 r .34766 .25014 .35355 .25786 .36323 .25228 .35735 .24473 Metetra .716 .73 .862 r .35735 .24473 .36323 .25228 .37293 .24682 .36706 .23941 Metetra .715 .734 .867 r .36706 .23941 .37293 .24682 .38264 .24146 .3768 .23417 Metetra .713 .738 .871 r .3768 .23417 .38264 .24146 .39238 .23621 .38655 .22902 Metetra .711 .741 .876 r .38655 .22902 .39238 .23621 .40214 .23106 .39633 .22395 Metetra .709 .744 .879 r .39633 .22395 .40214 .23106 .41192 .226 .40613 .21896 Metetra .706 .747 .883 r .40613 .21896 .41192 .226 .42172 .22104 .41595 .21405 Metetra .704 .748 .886 r .41595 .21405 .42172 .22104 .43155 .21615 .4258 .20921 Metetra .702 .75 .889 r .4258 .20921 .43155 .21615 .4414 .21134 .43568 .20443 Metetra .7 .751 .892 r .43568 .20443 .4414 .21134 .45128 .2066 .44559 .19972 Metetra .698 .752 .894 r .44559 .19972 .45128 .2066 .4612 .20193 .45552 .19506 Metetra .695 .753 .896 r .45552 .19506 .4612 .20193 .47114 .19731 .46549 .19045 Metetra .693 .754 .898 r .46549 .19045 .47114 .19731 .48111 .19275 .47549 .1859 Metetra .691 .754 .9 r .47549 .1859 .48111 .19275 .49111 .18824 .48552 .18139 Metetra .689 .754 .901 r .48552 .18139 .49111 .18824 .50115 .18378 .49558 .17692 Metetra .688 .755 .903 r .49558 .17692 .50115 .18378 .51122 .17936 .50568 .17249 Metetra .686 .755 .904 r .50568 .17249 .51122 .17936 .52133 .17497 .51581 .16809 Metetra .684 .755 .905 r .51581 .16809 .52133 .17497 .53146 .17062 .52598 .16372 Metetra .683 .754 .906 r .52598 .16372 .53146 .17062 .54164 .16629 .53618 .15938 Metetra .681 .754 .907 r .53618 .15938 .54164 .16629 .55185 .162 .54642 .15506 Metetra .68 .754 .907 r .54642 .15506 .55185 .162 .5621 .15772 .5567 .15077 Metetra .679 .754 .908 r .5567 .15077 .5621 .15772 .57239 .15347 .56701 .14649 Metetra .677 .754 .908 r .56701 .14649 .57239 .15347 .58271 .14923 .57737 .14223 Metetra .676 .753 .909 r .57737 .14223 .58271 .14923 .59308 .14502 .58776 .13799 Metetra .675 .753 .909 r .58776 .13799 .59308 .14502 .60348 .14081 .59819 .13376 Metetra .674 .753 .91 r .59819 .13376 .60348 .14081 .61392 .13662 .60866 .12953 Metetra .673 .752 .91 r .60866 .12953 .61392 .13662 .6244 .13243 .61917 .12532 Metetra .672 .752 .91 r .61917 .12532 .6244 .13243 .63492 .12825 .62972 .12111 Metetra .672 .752 .911 r .62972 .12111 .63492 .12825 .64549 .12408 .64032 .11691 Metetra .671 .751 .911 r .64032 .11691 .64549 .12408 .65609 .11991 .65095 .11271 Metetra .67 .751 .911 r .65095 .11271 .65609 .11991 .66674 .11575 .66163 .10852 Metetra .669 .751 .911 r .66163 .10852 .66674 .11575 .67743 .11159 .67235 .10432 Metetra .669 .75 .912 r .67235 .10432 .67743 .11159 .68816 .10742 .68311 .10012 Metetra .668 .75 .912 r .68311 .10012 .68816 .10742 .69893 .10326 .69391 .09593 Metetra .668 .75 .912 r .69391 .09593 .69893 .10326 .70975 .09909 .70476 .09173 Metetra .667 .749 .912 r .70476 .09173 .70975 .09909 .72061 .09492 .71565 .08753 Metetra .558 .715 .945 r .09632 .32886 .10284 .33478 .11121 .33363 .10473 .32745 Metetra .545 .701 .942 r .10473 .32745 .11121 .33363 .11958 .33277 .11316 .32627 Metetra .534 .685 .935 r .11316 .32627 .11958 .33277 .12795 .33222 .12159 .3253 Metetra .526 .667 .926 r .12159 .3253 .12795 .33222 .13634 .33193 .13005 .32451 Metetra .523 .649 .914 r .13005 .32451 .13634 .33193 .14474 .33185 .13853 .32385 Metetra .525 .631 .899 r .13853 .32385 .14474 .33185 .15318 .33188 .14706 .32324 Metetra .532 .616 .881 r .14706 .32324 .15318 .33188 .16168 .33189 .15563 .32258 Metetra .543 .603 .864 r .15563 .32258 .16168 .33189 .17024 .33171 .16428 .32177 Metetra .558 .595 .846 r .16428 .32177 .17024 .33171 .1789 .3312 .173 .32068 Metetra .574 .59 .831 r .173 .32068 .1789 .3312 .18766 .33019 .1818 .31921 Metetra .591 .589 .818 r .1818 .31921 .18766 .33019 .19652 .32858 .19071 .31728 Metetra .607 .591 .809 r .19071 .31728 .19652 .32858 .20551 .32631 .19971 .31485 Metetra .623 .596 .802 r .19971 .31485 .20551 .32631 .2146 .32338 .2088 .3119 Metetra .637 .603 .799 r .2088 .3119 .2146 .32338 .22378 .31981 .21798 .30845 Metetra .65 .612 .797 r .21798 .30845 .22378 .31981 .23306 .31568 .22724 .30454 Metetra .662 .622 .798 r .22724 .30454 .23306 .31568 .24241 .31108 .23656 .30022 Metetra .673 .632 .8 r .23656 .30022 .24241 .31108 .25182 .30609 .24595 .29557 Metetra .682 .643 .804 r .24595 .29557 .25182 .30609 .26128 .30081 .25539 .29065 Metetra .69 .653 .809 r .25539 .29065 .26128 .30081 .27078 .29532 .26487 .28552 Metetra .696 .664 .814 r .26487 .28552 .27078 .29532 .28032 .2897 .27439 .28024 Metetra .701 .674 .82 r .27439 .28024 .28032 .2897 .28988 .28399 .28394 .27487 Metetra .706 .683 .826 r .28394 .27487 .28988 .28399 .29946 .27826 .29351 .26945 Metetra .709 .692 .832 r .29351 .26945 .29946 .27826 .30906 .27253 .30311 .264 Metetra .711 .7 .838 r .30311 .264 .30906 .27253 .31869 .26684 .31273 .25856 Metetra .712 .708 .844 r .31273 .25856 .31869 .26684 .32833 .2612 .32238 .25314 Metetra .713 .714 .85 r .32238 .25314 .32833 .2612 .33798 .25563 .33204 .24777 Metetra .713 .72 .855 r .33204 .24777 .33798 .25563 .34766 .25014 .34173 .24245 Metetra .713 .726 .86 r .34173 .24245 .34766 .25014 .35735 .24473 .35143 .23719 Metetra .712 .73 .865 r .35143 .23719 .35735 .24473 .36706 .23941 .36116 .23199 Metetra .711 .735 .87 r .36116 .23199 .36706 .23941 .3768 .23417 .37091 .22687 Metetra .709 .738 .874 r .37091 .22687 .3768 .23417 .38655 .22902 .38068 .22181 Metetra .708 .741 .878 r .38068 .22181 .38655 .22902 .39633 .22395 .39048 .21681 Metetra .706 .744 .881 r .39048 .21681 .39633 .22395 .40613 .21896 .4003 .21189 Metetra .704 .746 .884 r .4003 .21189 .40613 .21896 .41595 .21405 .41014 .20702 Metetra .702 .748 .887 r .41014 .20702 .41595 .21405 .4258 .20921 .42002 .20222 Metetra .7 .75 .89 r .42002 .20222 .4258 .20921 .43568 .20443 .42992 .19747 Metetra .698 .751 .892 r .42992 .19747 .43568 .20443 .44559 .19972 .43985 .19278 Metetra .696 .752 .895 r .43985 .19278 .44559 .19972 .45552 .19506 .44981 .18814 Metetra .694 .753 .897 r .44981 .18814 .45552 .19506 .46549 .19045 .4598 .18355 Metetra .692 .753 .898 r .4598 .18355 .46549 .19045 .47549 .1859 .46983 .17899 Metetra .69 .754 .9 r .46983 .17899 .47549 .1859 .48552 .18139 .47988 .17448 Metetra .689 .754 .901 r .47988 .17448 .48552 .18139 .49558 .17692 .48997 .17001 Metetra .687 .754 .903 r .48997 .17001 .49558 .17692 .50568 .17249 .5001 .16557 Metetra .685 .754 .904 r .5001 .16557 .50568 .17249 .51581 .16809 .51026 .16116 Metetra .684 .754 .905 r .51026 .16116 .51581 .16809 .52598 .16372 .52045 .15677 Metetra .682 .754 .906 r .52045 .15677 .52598 .16372 .53618 .15938 .53068 .15242 Metetra .681 .754 .907 r .53068 .15242 .53618 .15938 .54642 .15506 .54095 .14808 Metetra .68 .754 .907 r .54095 .14808 .54642 .15506 .5567 .15077 .55126 .14376 Metetra .678 .754 .908 r .55126 .14376 .5567 .15077 .56701 .14649 .5616 .13946 Metetra .677 .754 .909 r .5616 .13946 .56701 .14649 .57737 .14223 .57198 .13518 Metetra .676 .753 .909 r .57198 .13518 .57737 .14223 .58776 .13799 .5824 .13091 Metetra .675 .753 .909 r .5824 .13091 .58776 .13799 .59819 .13376 .59286 .12665 Metetra .674 .753 .91 r .59286 .12665 .59819 .13376 .60866 .12953 .60336 .1224 Metetra .673 .752 .91 r .60336 .1224 .60866 .12953 .61917 .12532 .6139 .11816 Metetra .672 .752 .911 r .6139 .11816 .61917 .12532 .62972 .12111 .62448 .11392 Metetra .672 .752 .911 r .62448 .11392 .62972 .12111 .64032 .11691 .63511 .10969 Metetra .671 .751 .911 r .63511 .10969 .64032 .11691 .65095 .11271 .64577 .10546 Metetra .67 .751 .911 r .64577 .10546 .65095 .11271 .66163 .10852 .65648 .10123 Metetra .67 .751 .911 r .65648 .10123 .66163 .10852 .67235 .10432 .66723 .097 Metetra .669 .75 .912 r .66723 .097 .67235 .10432 .68311 .10012 .67802 .09277 Metetra .668 .75 .912 r .67802 .09277 .68311 .10012 .69391 .09593 .68885 .08854 Metetra .668 .75 .912 r .68885 .08854 .69391 .09593 .70476 .09173 .69973 .08431 Metetra .667 .75 .912 r .69973 .08431 .70476 .09173 .71565 .08753 .71066 .08008 Metetra .573 .717 .94 r .08976 .32282 .09632 .32886 .10473 .32745 .09822 .32119 Metetra .564 .706 .936 r .09822 .32119 .10473 .32745 .11316 .32627 .10669 .31972 Metetra .556 .693 .931 r .10669 .31972 .11316 .32627 .12159 .3253 .11519 .3184 Metetra .551 .679 .923 r .11519 .3184 .12159 .3253 .13005 .32451 .1237 .3172 Metetra .549 .665 .913 r .1237 .3172 .13005 .32451 .13853 .32385 .13225 .31608 Metetra .551 .651 .901 r .13225 .31608 .13853 .32385 .14706 .32324 .14085 .31497 Metetra .556 .639 .888 r .14085 .31497 .14706 .32324 .15563 .32258 .14949 .3138 Metetra .565 .629 .874 r .14949 .3138 .15563 .32258 .16428 .32177 .15819 .3125 Metetra .576 .621 .86 r .15819 .3125 .16428 .32177 .173 .32068 .16697 .31096 Metetra .589 .616 .847 r .16697 .31096 .173 .32068 .1818 .31921 .17582 .30913 Metetra .602 .614 .836 r .17582 .30913 .1818 .31921 .19071 .31728 .18476 .30694 Metetra .615 .615 .828 r .18476 .30694 .19071 .31728 .19971 .31485 .19378 .30435 Metetra .628 .618 .821 r .19378 .30435 .19971 .31485 .2088 .3119 .20288 .30136 Metetra .64 .623 .817 r .20288 .30136 .2088 .3119 .21798 .30845 .21205 .29795 Metetra .652 .63 .815 r .21205 .29795 .21798 .30845 .22724 .30454 .22131 .29417 Metetra .662 .637 .815 r .22131 .29417 .22724 .30454 .23656 .30022 .23062 .29005 Metetra .671 .645 .816 r .23062 .29005 .23656 .30022 .24595 .29557 .24 .28563 Metetra .679 .654 .818 r .24 .28563 .24595 .29557 .25539 .29065 .24942 .28097 Metetra .686 .663 .821 r .24942 .28097 .25539 .29065 .26487 .28552 .25889 .27612 Metetra .692 .672 .825 r .25889 .27612 .26487 .28552 .27439 .28024 .2684 .27112 Metetra .697 .681 .83 r .2684 .27112 .27439 .28024 .28394 .27487 .27794 .26601 Metetra .701 .689 .835 r .27794 .26601 .28394 .27487 .29351 .26945 .28751 .26083 Metetra .704 .696 .84 r .28751 .26083 .29351 .26945 .30311 .264 .29711 .25562 Metetra .706 .704 .845 r .29711 .25562 .30311 .264 .31273 .25856 .30673 .25039 Metetra .708 .71 .85 r .30673 .25039 .31273 .25856 .32238 .25314 .31638 .24516 Metetra .709 .716 .855 r .31638 .24516 .32238 .25314 .33204 .24777 .32605 .23996 Metetra .709 .722 .86 r .32605 .23996 .33204 .24777 .34173 .24245 .33575 .23479 Metetra .709 .727 .864 r .33575 .23479 .34173 .24245 .35143 .23719 .34547 .22966 Metetra .708 .731 .868 r .34547 .22966 .35143 .23719 .36116 .23199 .35521 .22457 Metetra .707 .735 .872 r .35521 .22457 .36116 .23199 .37091 .22687 .36498 .21954 Metetra .706 .738 .876 r .36498 .21954 .37091 .22687 .38068 .22181 .37477 .21457 Metetra .705 .741 .88 r .37477 .21457 .38068 .22181 .39048 .21681 .38458 .20964 Metetra .703 .744 .883 r .38458 .20964 .39048 .21681 .4003 .21189 .39443 .20477 Metetra .702 .746 .886 r .39443 .20477 .4003 .21189 .41014 .20702 .40429 .19995 Metetra .7 .748 .889 r .40429 .19995 .41014 .20702 .42002 .20222 .41419 .19519 Metetra .698 .749 .891 r .41419 .19519 .42002 .20222 .42992 .19747 .42412 .19047 Metetra .696 .75 .893 r .42412 .19047 .42992 .19747 .43985 .19278 .43407 .1858 Metetra .695 .751 .895 r .43407 .1858 .43985 .19278 .44981 .18814 .44406 .18117 Metetra .693 .752 .897 r .44406 .18117 .44981 .18814 .4598 .18355 .45408 .17658 Metetra .691 .753 .899 r .45408 .17658 .4598 .18355 .46983 .17899 .46413 .17204 Metetra .689 .753 .9 r .46413 .17204 .46983 .17899 .47988 .17448 .47421 .16752 Metetra .688 .754 .902 r .47421 .16752 .47988 .17448 .48997 .17001 .48433 .16304 Metetra .686 .754 .903 r .48433 .16304 .48997 .17001 .5001 .16557 .49448 .15859 Metetra .685 .754 .904 r .49448 .15859 .5001 .16557 .51026 .16116 .50466 .15417 Metetra .683 .754 .905 r .50466 .15417 .51026 .16116 .52045 .15677 .51489 .14977 Metetra .682 .754 .906 r .51489 .14977 .52045 .15677 .53068 .15242 .52514 .1454 Metetra .681 .754 .907 r .52514 .1454 .53068 .15242 .54095 .14808 .53544 .14104 Metetra .679 .754 .907 r .53544 .14104 .54095 .14808 .55126 .14376 .54577 .1367 Metetra .678 .754 .908 r .54577 .1367 .55126 .14376 .5616 .13946 .55614 .13238 Metetra .677 .753 .909 r .55614 .13238 .5616 .13946 .57198 .13518 .56655 .12807 Metetra .676 .753 .909 r .56655 .12807 .57198 .13518 .5824 .13091 .577 .12377 Metetra .675 .753 .909 r .577 .12377 .5824 .13091 .59286 .12665 .58749 .11949 Metetra .674 .753 .91 r .58749 .11949 .59286 .12665 .60336 .1224 .59802 .11521 Metetra .673 .752 .91 r .59802 .11521 .60336 .1224 .6139 .11816 .60859 .11094 Metetra .672 .752 .911 r .60859 .11094 .6139 .11816 .62448 .11392 .6192 .10667 Metetra .672 .752 .911 r .6192 .10667 .62448 .11392 .63511 .10969 .62986 .10241 Metetra .671 .751 .911 r .62986 .10241 .63511 .10969 .64577 .10546 .64055 .09815 Metetra .67 .751 .911 r .64055 .09815 .64577 .10546 .65648 .10123 .65129 .09389 Metetra .67 .751 .911 r .65129 .09389 .65648 .10123 .66723 .097 .66207 .08963 Metetra .669 .751 .912 r .66207 .08963 .66723 .097 .67802 .09277 .67289 .08537 Metetra .668 .75 .912 r .67289 .08537 .67802 .09277 .68885 .08854 .68376 .08111 Metetra .668 .75 .912 r .68376 .08111 .68885 .08854 .69973 .08431 .69467 .07684 Metetra .667 .75 .912 r .69467 .07684 .69973 .08431 .71066 .08008 .70562 .07257 Metetra .586 .719 .935 r .08317 .3167 .08976 .32282 .09822 .32119 .09167 .31485 Metetra .579 .71 .932 r .09167 .31485 .09822 .32119 .10669 .31972 .10019 .31313 Metetra .574 .7 .927 r .10019 .31313 .10669 .31972 .11519 .3184 .10873 .31152 Metetra .57 .689 .921 r .10873 .31152 .11519 .3184 .1237 .3172 .1173 .30998 Metetra .569 .678 .913 r .1173 .30998 .1237 .3172 .13225 .31608 .12591 .30849 Metetra .571 .667 .903 r .12591 .30849 .13225 .31608 .14085 .31497 .13456 .30698 Metetra .575 .657 .892 r .13456 .30698 .14085 .31497 .14949 .3138 .14326 .30541 Metetra .582 .648 .881 r .14326 .30541 .14949 .3138 .15819 .3125 .15202 .30372 Metetra .591 .641 .87 r .15202 .30372 .15819 .3125 .16697 .31096 .16084 .30184 Metetra .6 .637 .859 r .16084 .30184 .16697 .31096 .17582 .30913 .16973 .29972 Metetra .611 .635 .85 r .16973 .29972 .17582 .30913 .18476 .30694 .17869 .2973 Metetra .622 .635 .842 r .17869 .2973 .18476 .30694 .19378 .30435 .18773 .29458 Metetra .633 .637 .836 r .18773 .29458 .19378 .30435 .20288 .30136 .19685 .29151 Metetra .643 .64 .832 r .19685 .29151 .20288 .30136 .21205 .29795 .20603 .28812 Metetra .653 .645 .83 r .20603 .28812 .21205 .29795 .22131 .29417 .21528 .28442 Metetra .662 .651 .829 r .21528 .28442 .22131 .29417 .23062 .29005 .22459 .28042 Metetra .67 .658 .829 r .22459 .28042 .23062 .29005 .24 .28563 .23396 .27617 Metetra .677 .665 .83 r .23396 .27617 .24 .28563 .24942 .28097 .24338 .27171 Metetra .684 .672 .833 r .24338 .27171 .24942 .28097 .25889 .27612 .25284 .26706 Metetra .689 .68 .836 r .25284 .26706 .25889 .27612 .2684 .27112 .26235 .26227 Metetra .694 .687 .839 r .26235 .26227 .2684 .27112 .27794 .26601 .27188 .25737 Metetra .697 .694 .843 r .27188 .25737 .27794 .26601 .28751 .26083 .28146 .2524 Metetra .7 .701 .847 r .28146 .2524 .28751 .26083 .29711 .25562 .29106 .24737 Metetra .702 .707 .851 r .29106 .24737 .29711 .25562 .30673 .25039 .30069 .24232 Metetra .704 .713 .856 r .30069 .24232 .30673 .25039 .31638 .24516 .31034 .23725 Metetra .705 .718 .86 r .31034 .23725 .31638 .24516 .32605 .23996 .32002 .23219 Metetra .705 .723 .864 r .32002 .23219 .32605 .23996 .33575 .23479 .32973 .22715 Metetra .705 .728 .868 r .32973 .22715 .33575 .23479 .34547 .22966 .33946 .22214 Metetra .705 .732 .872 r .33946 .22214 .34547 .22966 .35521 .22457 .34922 .21715 Metetra .704 .735 .875 r .34922 .21715 .35521 .22457 .36498 .21954 .35901 .21221 Metetra .703 .738 .879 r .35901 .21221 .36498 .21954 .37477 .21457 .36881 .2073 Metetra .702 .741 .882 r .36881 .2073 .37477 .21457 .38458 .20964 .37865 .20244 Metetra .701 .744 .885 r .37865 .20244 .38458 .20964 .39443 .20477 .38851 .19762 Metetra .699 .746 .887 r .38851 .19762 .39443 .20477 .40429 .19995 .3984 .19284 Metetra .698 .747 .89 r .3984 .19284 .40429 .19995 .41419 .19519 .40832 .18811 Metetra .696 .749 .892 r .40832 .18811 .41419 .19519 .42412 .19047 .41827 .18342 Metetra .695 .75 .894 r .41827 .18342 .42412 .19047 .43407 .1858 .42825 .17877 Metetra .693 .751 .896 r .42825 .17877 .43407 .1858 .44406 .18117 .43827 .17415 Metetra .692 .752 .898 r .43827 .17415 .44406 .18117 .45408 .17658 .44831 .16957 Metetra .69 .752 .899 r .44831 .16957 .45408 .17658 .46413 .17204 .45838 .16502 Metetra .688 .753 .901 r .45838 .16502 .46413 .17204 .47421 .16752 .46849 .16051 Metetra .687 .753 .902 r .46849 .16051 .47421 .16752 .48433 .16304 .47864 .15602 Metetra .686 .754 .903 r .47864 .15602 .48433 .16304 .49448 .15859 .48881 .15156 Metetra .684 .754 .904 r .48881 .15156 .49448 .15859 .50466 .15417 .49903 .14713 Metetra .683 .754 .905 r .49903 .14713 .50466 .15417 .51489 .14977 .50928 .14272 Metetra .681 .754 .906 r .50928 .14272 .51489 .14977 .52514 .1454 .51956 .13832 Metetra .68 .754 .907 r .51956 .13832 .52514 .1454 .53544 .14104 .52989 .13395 Metetra .679 .754 .907 r .52989 .13395 .53544 .14104 .54577 .1367 .54025 .12959 Metetra .678 .753 .908 r .54025 .12959 .54577 .1367 .55614 .13238 .55065 .12524 Metetra .677 .753 .909 r .55065 .12524 .55614 .13238 .56655 .12807 .56109 .12091 Metetra .676 .753 .909 r .56109 .12091 .56655 .12807 .577 .12377 .57157 .11659 Metetra .675 .753 .909 r .57157 .11659 .577 .12377 .58749 .11949 .58208 .11227 Metetra .674 .753 .91 r .58208 .11227 .58749 .11949 .59802 .11521 .59264 .10797 Metetra .673 .752 .91 r .59264 .10797 .59802 .11521 .60859 .11094 .60324 .10366 Metetra .672 .752 .911 r .60324 .10366 .60859 .11094 .6192 .10667 .61388 .09937 Metetra .672 .752 .911 r .61388 .09937 .6192 .10667 .62986 .10241 .62457 .09508 Metetra .671 .751 .911 r .62457 .09508 .62986 .10241 .64055 .09815 .63529 .09078 Metetra .67 .751 .911 r .63529 .09078 .64055 .09815 .65129 .09389 .64606 .08649 Metetra .67 .751 .911 r .64606 .08649 .65129 .09389 .66207 .08963 .65687 .0822 Metetra .669 .751 .912 r .65687 .0822 .66207 .08963 .67289 .08537 .66772 .07791 Metetra .669 .75 .912 r .66772 .07791 .67289 .08537 .68376 .08111 .67862 .07361 Metetra .668 .75 .912 r .67862 .07361 .68376 .08111 .69467 .07684 .68956 .06931 Metetra .668 .75 .912 r .68956 .06931 .69467 .07684 .70562 .07257 .70055 .06501 Metetra .596 .721 .932 r .07655 .31049 .08317 .3167 .09167 .31485 .08508 .30846 Metetra .591 .713 .929 r .08508 .30846 .09167 .31485 .10019 .31313 .09364 .30652 Metetra .587 .705 .924 r .09364 .30652 .10019 .31313 .10873 .31152 .10223 .30465 Metetra .585 .696 .919 r .10223 .30465 .10873 .31152 .1173 .30998 .11085 .30283 Metetra .585 .687 .912 r .11085 .30283 .1173 .30998 .12591 .30849 .1195 .30103 Metetra .586 .678 .904 r .1195 .30103 .12591 .30849 .13456 .30698 .1282 .29921 Metetra .59 .67 .895 r .1282 .29921 .13456 .30698 .14326 .30541 .13695 .29732 Metetra .595 .663 .886 r .13695 .29732 .14326 .30541 .15202 .30372 .14575 .29532 Metetra .602 .658 .877 r .14575 .29532 .15202 .30372 .16084 .30184 .15462 .29316 Metetra .61 .654 .868 r .15462 .29316 .16084 .30184 .16973 .29972 .16354 .29079 Metetra .619 .652 .861 r .16354 .29079 .16973 .29972 .17869 .2973 .17254 .2882 Metetra .628 .651 .854 r .17254 .2882 .17869 .2973 .18773 .29458 .1816 .28534 Metetra .637 .652 .849 r .1816 .28534 .18773 .29458 .19685 .29151 .19073 .28221 Metetra .646 .655 .845 r .19073 .28221 .19685 .29151 .20603 .28812 .19992 .27881 Metetra .654 .659 .842 r .19992 .27881 .20603 .28812 .21528 .28442 .20917 .27514 Metetra .662 .663 .841 r .20917 .27514 .21528 .28442 .22459 .28042 .21849 .27123 Metetra .669 .669 .84 r .21849 .27123 .22459 .28042 .23396 .27617 .22786 .2671 Metetra .676 .674 .841 r .22786 .2671 .23396 .27617 .24338 .27171 .23727 .26277 Metetra .681 .68 .843 r .23727 .26277 .24338 .27171 .25284 .26706 .24673 .25828 Metetra .686 .687 .845 r .24673 .25828 .25284 .26706 .26235 .26227 .25624 .25366 Metetra .69 .693 .847 r .25624 .25366 .26235 .26227 .27188 .25737 .26578 .24893 Metetra .694 .699 .85 r .26578 .24893 .27188 .25737 .28146 .2524 .27535 .24411 Metetra .697 .705 .854 r .27535 .24411 .28146 .2524 .29106 .24737 .28496 .23924 Metetra .699 .71 .857 r .28496 .23924 .29106 .24737 .30069 .24232 .29459 .23434 Metetra .7 .716 .861 r .29459 .23434 .30069 .24232 .31034 .23725 .30426 .22941 Metetra .701 .72 .864 r .30426 .22941 .31034 .23725 .32002 .23219 .31395 .22447 Metetra .702 .725 .868 r .31395 .22447 .32002 .23219 .32973 .22715 .32367 .21954 Metetra .702 .729 .871 r .32367 .21954 .32973 .22715 .33946 .22214 .33342 .21462 Metetra .702 .733 .875 r .33342 .21462 .33946 .22214 .34922 .21715 .34319 .20972 Metetra .701 .736 .878 r .34319 .20972 .34922 .21715 .35901 .21221 .35299 .20485 Metetra .701 .739 .881 r .35299 .20485 .35901 .21221 .36881 .2073 .36282 .20001 Metetra .7 .741 .883 r .36282 .20001 .36881 .2073 .37865 .20244 .37268 .19521 Metetra .699 .743 .886 r .37268 .19521 .37865 .20244 .38851 .19762 .38256 .19043 Metetra .697 .745 .889 r .38256 .19043 .38851 .19762 .3984 .19284 .39247 .18569 Metetra .696 .747 .891 r .39247 .18569 .3984 .19284 .40832 .18811 .40242 .18099 Metetra .695 .748 .893 r .40242 .18099 .40832 .18811 .41827 .18342 .41239 .17632 Metetra .693 .75 .895 r .41239 .17632 .41827 .18342 .42825 .17877 .42239 .17168 Metetra .692 .751 .897 r .42239 .17168 .42825 .17877 .43827 .17415 .43243 .16708 Metetra .69 .751 .898 r .43243 .16708 .43827 .17415 .44831 .16957 .4425 .16251 Metetra .689 .752 .9 r .4425 .16251 .44831 .16957 .45838 .16502 .4526 .15796 Metetra .688 .753 .901 r .4526 .15796 .45838 .16502 .46849 .16051 .46274 .15344 Metetra .686 .753 .902 r .46274 .15344 .46849 .16051 .47864 .15602 .4729 .14895 Metetra .685 .753 .903 r .4729 .14895 .47864 .15602 .48881 .15156 .48311 .14448 Metetra .683 .753 .904 r .48311 .14448 .48881 .15156 .49903 .14713 .49335 .14003 Metetra .682 .753 .905 r .49335 .14003 .49903 .14713 .50928 .14272 .50363 .1356 Metetra .681 .753 .906 r .50363 .1356 .50928 .14272 .51956 .13832 .51394 .13119 Metetra .68 .753 .907 r .51394 .13119 .51956 .13832 .52989 .13395 .52429 .1268 Metetra .679 .753 .907 r .52429 .1268 .52989 .13395 .54025 .12959 .53468 .12242 Metetra .678 .753 .908 r .53468 .12242 .54025 .12959 .55065 .12524 .54511 .11805 Metetra .677 .753 .909 r .54511 .11805 .55065 .12524 .56109 .12091 .55558 .11369 Metetra .676 .753 .909 r .55558 .11369 .56109 .12091 .57157 .11659 .56609 .10934 Metetra .675 .753 .909 r .56609 .10934 .57157 .11659 .58208 .11227 .57663 .105 Metetra .674 .753 .91 r .57663 .105 .58208 .11227 .59264 .10797 .58722 .10067 Metetra .673 .752 .91 r .58722 .10067 .59264 .10797 .60324 .10366 .59785 .09634 Metetra .672 .752 .91 r .59785 .09634 .60324 .10366 .61388 .09937 .60852 .09201 Metetra .672 .752 .911 r .60852 .09201 .61388 .09937 .62457 .09508 .61924 .08769 Metetra .671 .751 .911 r .61924 .08769 .62457 .09508 .63529 .09078 .62999 .08336 Metetra .67 .751 .911 r .62999 .08336 .63529 .09078 .64606 .08649 .64079 .07904 Metetra .67 .751 .911 r .64079 .07904 .64606 .08649 .65687 .0822 .65163 .07472 Metetra .669 .751 .912 r .65163 .07472 .65687 .0822 .66772 .07791 .66252 .07039 Metetra .669 .75 .912 r .66252 .07039 .66772 .07791 .67862 .07361 .67344 .06606 Metetra .668 .75 .912 r .67344 .06606 .67862 .07361 .68956 .06931 .68442 .06173 Metetra .668 .75 .912 r .68442 .06173 .68956 .06931 .70055 .06501 .69544 .05739 Metetra .604 .723 .928 r .06988 .30421 .07655 .31049 .08508 .30846 .07845 .30202 Metetra .601 .716 .926 r .07845 .30202 .08508 .30846 .09364 .30652 .08705 .29989 Metetra .598 .709 .922 r .08705 .29989 .09364 .30652 .10223 .30465 .09567 .2978 Metetra .597 .702 .917 r .09567 .2978 .10223 .30465 .11085 .30283 .10433 .29575 Metetra .597 .695 .911 r .10433 .29575 .11085 .30283 .1195 .30103 .11304 .29369 Metetra .599 .688 .905 r .11304 .29369 .1195 .30103 .1282 .29921 .12178 .2916 Metetra .602 .681 .898 r .12178 .2916 .1282 .29921 .13695 .29732 .13057 .28945 Metetra .606 .676 .89 r .13057 .28945 .13695 .29732 .14575 .29532 .13941 .2872 Metetra .612 .671 .883 r .13941 .2872 .14575 .29532 .15462 .29316 .14831 .28481 Metetra .618 .668 .875 r .14831 .28481 .15462 .29316 .16354 .29079 .15727 .28225 Metetra .625 .666 .869 r .15727 .28225 .16354 .29079 .17254 .2882 .16629 .27949 Metetra .633 .665 .863 r .16629 .27949 .17254 .2882 .1816 .28534 .17537 .27652 Metetra .641 .666 .858 r .17537 .27652 .1816 .28534 .19073 .28221 .18452 .27332 Metetra .648 .667 .855 r .18452 .27332 .19073 .28221 .19992 .27881 .19373 .2699 Metetra .655 .67 .852 r .19373 .2699 .19992 .27881 .20917 .27514 .20299 .26625 Metetra .662 .674 .851 r .20299 .26625 .20917 .27514 .21849 .27123 .21231 .26239 Metetra .668 .678 .85 r .21231 .26239 .21849 .27123 .22786 .2671 .22168 .25834 Metetra .674 .683 .85 r .22168 .25834 .22786 .2671 .23727 .26277 .2311 .25411 Metetra .679 .688 .851 r .2311 .25411 .23727 .26277 .24673 .25828 .24056 .24974 Metetra .684 .693 .853 r .24056 .24974 .24673 .25828 .25624 .25366 .25007 .24524 Metetra .688 .698 .855 r .25007 .24524 .25624 .25366 .26578 .24893 .25961 .24064 Metetra .691 .704 .857 r .25961 .24064 .26578 .24893 .27535 .24411 .26919 .23596 Metetra .693 .709 .86 r .26919 .23596 .27535 .24411 .28496 .23924 .2788 .23122 Metetra .695 .713 .863 r .2788 .23122 .28496 .23924 .29459 .23434 .28845 .22643 Metetra .697 .718 .865 r .28845 .22643 .29459 .23434 .30426 .22941 .29812 .22161 Metetra .698 .722 .869 r .29812 .22161 .30426 .22941 .31395 .22447 .30783 .21678 Metetra .699 .726 .872 r .30783 .21678 .31395 .22447 .32367 .21954 .31756 .21194 Metetra .699 .73 .874 r .31756 .21194 .32367 .21954 .33342 .21462 .32733 .20711 Metetra .699 .733 .877 r .32733 .20711 .33342 .21462 .34319 .20972 .33712 .20229 Metetra .699 .736 .88 r .33712 .20229 .34319 .20972 .35299 .20485 .34693 .19749 Metetra .698 .739 .883 r .34693 .19749 .35299 .20485 .36282 .20001 .35678 .1927 Metetra .697 .741 .885 r .35678 .1927 .36282 .20001 .37268 .19521 .36666 .18794 Metetra .696 .743 .888 r .36666 .18794 .37268 .19521 .38256 .19043 .37656 .18321 Metetra .695 .745 .89 r .37656 .18321 .38256 .19043 .39247 .18569 .3865 .1785 Metetra .694 .747 .892 r .3865 .1785 .39247 .18569 .40242 .18099 .39647 .17383 Metetra .693 .748 .894 r .39647 .17383 .40242 .18099 .41239 .17632 .40646 .16918 Metetra .692 .749 .896 r .40646 .16918 .41239 .17632 .42239 .17168 .41649 .16455 Metetra .69 .75 .897 r .41649 .16455 .42239 .17168 .43243 .16708 .42655 .15996 Metetra .689 .751 .899 r .42655 .15996 .43243 .16708 .4425 .16251 .43665 .15539 Metetra .688 .752 .9 r .43665 .15539 .4425 .16251 .4526 .15796 .44677 .15084 Metetra .687 .752 .901 r .44677 .15084 .4526 .15796 .46274 .15344 .45693 .14632 Metetra .685 .753 .903 r .45693 .14632 .46274 .15344 .4729 .14895 .46713 .14182 Metetra .684 .753 .904 r .46713 .14182 .4729 .14895 .48311 .14448 .47736 .13734 Metetra .683 .753 .905 r .47736 .13734 .48311 .14448 .49335 .14003 .48763 .13288 Metetra .682 .753 .905 r .48763 .13288 .49335 .14003 .50363 .1356 .49794 .12844 Metetra .681 .753 .906 r .49794 .12844 .50363 .1356 .51394 .13119 .50828 .12401 Metetra .679 .753 .907 r .50828 .12401 .51394 .13119 .52429 .1268 .51866 .11959 Metetra .678 .753 .908 r .51866 .11959 .52429 .1268 .53468 .12242 .52908 .11519 Metetra .677 .753 .908 r .52908 .11519 .53468 .12242 .54511 .11805 .53953 .1108 Metetra .677 .753 .909 r .53953 .1108 .54511 .11805 .55558 .11369 .55003 .10642 Metetra .676 .753 .909 r .55003 .10642 .55558 .11369 .56609 .10934 .56057 .10204 Metetra .675 .753 .909 r .56057 .10204 .56609 .10934 .57663 .105 .57114 .09767 Metetra .674 .752 .91 r .57114 .09767 .57663 .105 .58722 .10067 .58176 .09331 Metetra .673 .752 .91 r .58176 .09331 .58722 .10067 .59785 .09634 .59242 .08895 Metetra .672 .752 .91 r .59242 .08895 .59785 .09634 .60852 .09201 .60312 .0846 Metetra .672 .752 .911 r .60312 .0846 .60852 .09201 .61924 .08769 .61387 .08024 Metetra .671 .751 .911 r .61387 .08024 .61924 .08769 .62999 .08336 .62465 .07589 Metetra .67 .751 .911 r .62465 .07589 .62999 .08336 .64079 .07904 .63548 .07153 Metetra .67 .751 .911 r .63548 .07153 .64079 .07904 .65163 .07472 .64635 .06718 Metetra .669 .751 .912 r .64635 .06718 .65163 .07472 .66252 .07039 .65727 .06282 Metetra .669 .75 .912 r .65727 .06282 .66252 .07039 .67344 .06606 .66823 .05846 Metetra .668 .75 .912 r .66823 .05846 .67344 .06606 .68442 .06173 .67923 .05409 Metetra .668 .75 .912 r .67923 .05409 .68442 .06173 .69544 .05739 .69029 .04972 Metetra .612 .724 .926 r .06317 .29788 .06988 .30421 .07845 .30202 .07177 .29553 Metetra .609 .719 .923 r .07177 .29553 .07845 .30202 .08705 .29989 .0804 .29323 Metetra .607 .713 .92 r .0804 .29323 .08705 .29989 .09567 .2978 .08907 .29096 Metetra .607 .707 .916 r .08907 .29096 .09567 .2978 .10433 .29575 .09777 .2887 Metetra .607 .701 .911 r .09777 .2887 .10433 .29575 .11304 .29369 .10651 .28643 Metetra .608 .696 .905 r .10651 .28643 .11304 .29369 .12178 .2916 .11529 .28412 Metetra .611 .69 .899 r .11529 .28412 .12178 .2916 .13057 .28945 .12412 .28175 Metetra .615 .686 .893 r .12412 .28175 .13057 .28945 .13941 .2872 .133 .27929 Metetra .619 .682 .887 r .133 .27929 .13941 .2872 .14831 .28481 .14193 .27671 Metetra .625 .679 .881 r .14193 .27671 .14831 .28481 .15727 .28225 .15092 .27398 Metetra .631 .677 .875 r .15092 .27398 .15727 .28225 .16629 .27949 .15997 .27109 Metetra .637 .676 .87 r .15997 .27109 .16629 .27949 .17537 .27652 .16907 .26802 Metetra .644 .676 .866 r .16907 .26802 .17537 .27652 .18452 .27332 .17824 .26476 Metetra .65 .678 .863 r .17824 .26476 .18452 .27332 .19373 .2699 .18746 .2613 Metetra .656 .68 .86 r .18746 .2613 .19373 .2699 .20299 .26625 .19673 .25765 Metetra .662 .683 .859 r .19673 .25765 .20299 .26625 .21231 .26239 .20606 .25382 Metetra .668 .686 .858 r .20606 .25382 .21231 .26239 .22168 .25834 .21544 .24983 Metetra .673 .69 .858 r .21544 .24983 .22168 .25834 .2311 .25411 .22486 .24568 Metetra .678 .694 .858 r .22486 .24568 .2311 .25411 .24056 .24974 .23433 .24139 Metetra .682 .699 .859 r .23433 .24139 .24056 .24974 .25007 .24524 .24384 .23699 Metetra .685 .703 .861 r .24384 .23699 .25007 .24524 .25961 .24064 .2534 .23249 Metetra .688 .708 .863 r .2534 .23249 .25961 .24064 .26919 .23596 .26298 .22792 Metetra .69 .712 .865 r .26298 .22792 .26919 .23596 .2788 .23122 .2726 .22327 Metetra .692 .716 .867 r .2726 .22327 .2788 .23122 .28845 .22643 .28226 .21859 Metetra .694 .72 .87 r .28226 .21859 .28845 .22643 .29812 .22161 .29195 .21386 Metetra .695 .724 .872 r .29195 .21386 .29812 .22161 .30783 .21678 .30166 .20912 Metetra .696 .728 .875 r .30166 .20912 .30783 .21678 .31756 .21194 .31141 .20436 Metetra .696 .731 .877 r .31141 .20436 .31756 .21194 .32733 .20711 .32119 .1996 Metetra .696 .734 .88 r .32119 .1996 .32733 .20711 .33712 .20229 .331 .19485 Metetra .696 .737 .882 r .331 .19485 .33712 .20229 .34693 .19749 .34083 .1901 Metetra .696 .739 .885 r .34083 .1901 .34693 .19749 .35678 .1927 .3507 .18536 Metetra .695 .741 .887 r .3507 .18536 .35678 .1927 .36666 .18794 .3606 .18065 Metetra .694 .743 .889 r .3606 .18065 .36666 .18794 .37656 .18321 .37052 .17595 Metetra .693 .745 .891 r .37052 .17595 .37656 .18321 .3865 .1785 .38048 .17127 Metetra .692 .747 .893 r .38048 .17127 .3865 .1785 .39647 .17383 .39047 .16662 Metetra .691 .748 .895 r .39047 .16662 .39647 .17383 .40646 .16918 .40049 .16198 Metetra .69 .749 .896 r .40049 .16198 .40646 .16918 .41649 .16455 .41055 .15737 Metetra .689 .75 .898 r .41055 .15737 .41649 .16455 .42655 .15996 .42063 .15278 Metetra .688 .751 .899 r .42063 .15278 .42655 .15996 .43665 .15539 .43075 .14822 Metetra .687 .751 .9 r .43075 .14822 .43665 .15539 .44677 .15084 .4409 .14367 Metetra .686 .752 .902 r .4409 .14367 .44677 .15084 .45693 .14632 .45109 .13914 Metetra .685 .752 .903 r .45109 .13914 .45693 .14632 .46713 .14182 .46132 .13464 Metetra .683 .753 .904 r .46132 .13464 .46713 .14182 .47736 .13734 .47157 .13015 Metetra .682 .753 .905 r .47157 .13015 .47736 .13734 .48763 .13288 .48187 .12567 Metetra .681 .753 .905 r .48187 .12567 .48763 .13288 .49794 .12844 .4922 .12121 Metetra .68 .753 .906 r .4922 .12121 .49794 .12844 .50828 .12401 .50257 .11676 Metetra .679 .753 .907 r .50257 .11676 .50828 .12401 .51866 .11959 .51298 .11233 Metetra .678 .753 .908 r .51298 .11233 .51866 .11959 .52908 .11519 .52343 .1079 Metetra .677 .753 .908 r .52343 .1079 .52908 .11519 .53953 .1108 .53391 .10349 Metetra .676 .753 .909 r .53391 .10349 .53953 .1108 .55003 .10642 .54444 .09908 Metetra .675 .753 .909 r .54444 .09908 .55003 .10642 .56057 .10204 .55501 .09468 Metetra .675 .753 .909 r .55501 .09468 .56057 .10204 .57114 .09767 .56561 .09029 Metetra .674 .752 .91 r .56561 .09029 .57114 .09767 .58176 .09331 .57626 .0859 Metetra .673 .752 .91 r .57626 .0859 .58176 .09331 .59242 .08895 .58695 .08151 Metetra .672 .752 .91 r .58695 .08151 .59242 .08895 .60312 .0846 .59768 .07712 Metetra .672 .752 .911 r .59768 .07712 .60312 .0846 .61387 .08024 .60845 .07274 Metetra .671 .751 .911 r .60845 .07274 .61387 .08024 .62465 .07589 .61927 .06835 Metetra .67 .751 .911 r .61927 .06835 .62465 .07589 .63548 .07153 .63013 .06397 Metetra .67 .751 .911 r .63013 .06397 .63548 .07153 .64635 .06718 .64103 .05958 Metetra .669 .751 .912 r .64103 .05958 .64635 .06718 .65727 .06282 .65198 .05519 Metetra .669 .75 .912 r .65198 .05519 .65727 .06282 .66823 .05846 .66297 .05079 Metetra .668 .75 .912 r .66297 .05079 .66823 .05846 .67923 .05409 .67401 .04639 Metetra .668 .75 .912 r .67401 .04639 .67923 .05409 .69029 .04972 .68509 .04198 Metetra .618 .726 .923 r .05642 .29149 .06317 .29788 .07177 .29553 .06505 .28901 Metetra .616 .721 .921 r .06505 .28901 .07177 .29553 .0804 .29323 .07372 .28656 Metetra .615 .716 .918 r .07372 .28656 .0804 .29323 .08907 .29096 .08242 .28412 Metetra .614 .712 .914 r .08242 .28412 .08907 .29096 .09777 .2887 .09115 .28169 Metetra .615 .707 .91 r .09115 .28169 .09777 .2887 .10651 .28643 .09993 .27923 Metetra .616 .702 .906 r .09993 .27923 .10651 .28643 .11529 .28412 .10875 .27674 Metetra .619 .697 .901 r .10875 .27674 .11529 .28412 .12412 .28175 .11761 .27419 Metetra .622 .694 .895 r .11761 .27419 .12412 .28175 .133 .27929 .12652 .27155 Metetra .626 .69 .89 r .12652 .27155 .133 .27929 .14193 .27671 .13549 .26881 Metetra .63 .688 .885 r .13549 .26881 .14193 .27671 .15092 .27398 .1445 .26594 Metetra .636 .686 .881 r .1445 .26594 .15092 .27398 .15997 .27109 .15358 .26293 Metetra .641 .686 .876 r .15358 .26293 .15997 .27109 .16907 .26802 .1627 .25977 Metetra .646 .686 .873 r .1627 .25977 .16907 .26802 .17824 .26476 .17188 .25644 Metetra .652 .687 .87 r .17188 .25644 .17824 .26476 .18746 .2613 .18112 .25295 Metetra .657 .688 .867 r .18112 .25295 .18746 .2613 .19673 .25765 .19041 .24929 Metetra .663 .69 .866 r .19041 .24929 .19673 .25765 .20606 .25382 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Metetra .684 .752 .903 r .44521 .13191 .45109 .13914 .46132 .13464 .45546 .1274 Metetra .683 .752 .904 r .45546 .1274 .46132 .13464 .47157 .13015 .46574 .12289 Metetra .682 .752 .905 r .46574 .12289 .47157 .13015 .48187 .12567 .47607 .1184 Metetra .681 .753 .906 r .47607 .1184 .48187 .12567 .4922 .12121 .48643 .11393 Metetra .68 .753 .906 r .48643 .11393 .4922 .12121 .50257 .11676 .49682 .10946 Metetra .679 .753 .907 r .49682 .10946 .50257 .11676 .51298 .11233 .50726 .10501 Metetra .678 .753 .908 r .50726 .10501 .51298 .11233 .52343 .1079 .51774 .10056 Metetra .677 .753 .908 r .51774 .10056 .52343 .1079 .53391 .10349 .52825 .09612 Metetra .676 .753 .909 r .52825 .09612 .53391 .10349 .54444 .09908 .53881 .09169 Metetra .675 .753 .909 r .53881 .09169 .54444 .09908 .55501 .09468 .5494 .08727 Metetra .674 .752 .909 r .5494 .08727 .55501 .09468 .56561 .09029 .56004 .08284 Metetra .674 .752 .91 r .56004 .08284 .56561 .09029 .57626 .0859 .57071 .07842 Metetra .673 .752 .91 r .57071 .07842 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.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 .06024 .26735 m .0648 .2716 L s P [(-1)] .05113 .25884 1 .93395 Mshowa p .002 w .20126 .21213 m .2056 .21661 L s P [(-0.5)] .1926 .20316 .96648 1 Mshowa p .002 w .35089 .15354 m .35496 .15826 L s P [(0)] .34275 .1441 .86223 1 Mshowa p .002 w .50994 .09126 m .5137 .09623 L s P [(0.5)] .50241 .08133 .75799 1 Mshowa p .002 w .67932 .02494 m .68274 .03015 L s P [(1)] .6725 .0145 .65374 1 Mshowa p .001 w .08779 .25656 m .0905 .25914 L s P p .001 w .11567 .24565 m .11835 .24825 L s P p .001 w .14386 .2346 m .14652 .23724 L s P p .001 w .17239 .22343 m .17502 .22609 L s P p .001 w .23048 .20069 m .23305 .20341 L s P p .001 w .26004 .18911 m .26258 .19186 L s P p .001 w .28996 .1774 m .29247 .18017 L s P p .001 w .32024 .16554 m .32272 .16835 L s P p .001 w .38192 .14139 m .38433 .14425 L s P p .001 w .41333 .12909 m .4157 .13198 L s P p .001 w .44513 .11664 m .44747 .11956 L s P p .001 w .47733 .10403 m .47963 .10698 L s P p .001 w .54296 .07833 m .54518 .08134 L s P p .001 w .5764 .06524 m .57857 .06828 L s P p .001 w .61027 .05198 m .6124 .05505 L s P p .001 w .64457 .03854 m .64666 .04164 L s P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] The next plot shows the total response for all 85 stages of the ear filter. The zeros with their high q lead to a low response outside the unit circle. This plot does not have enough resolution to show each of the poles. Thus the four spikes are places where Mathematica happened to sample especially close to a pole. The response is generally higher near DC because the end of the cochlea is especially sensitive to low frequencies. ;[s] 3:0,0;262,1;273,0;438,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] Plot3D[Abs[FilterEval[CascadeFilter[85,16000], x + I y]], {x,-1,1}, {y,-1,1}, PlotPoints->64, Lighting->True]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 50; pictureWidth = 399; pictureHeight = 327; endGroup] %! %%Creator: Mathematica %%AspectRatio: .82055 MathPictureStart %% SurfaceGraphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0249355 0.99742 -0.0396341 0.99742 [ [(-1)] .05113 .25884 1 .93395 Msboxa [(-0.5)] .1926 .20316 .96648 1 Msboxa [(0)] .34275 .1441 .86223 1 Msboxa [(0.5)] .50241 .08133 .75799 1 Msboxa [(1)] .6725 .0145 .65374 1 Msboxa [(-1)] .69093 .02039 -1 .39157 Msboxa [(-0.5)] .76901 .13994 -1 .36413 Msboxa [(0)] .83872 .24668 -1 .34028 Msboxa 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.741 .908 r .48721 .56379 .49166 .56824 .49966 .56583 .49522 .56136 Metetra .664 .741 .908 r .49522 .56136 .49966 .56583 .50769 .56342 .50326 .55893 Metetra .664 .741 .908 r .50326 .55893 .50769 .56342 .51574 .56099 .51133 .5565 Metetra .664 .741 .908 r .51133 .5565 .51574 .56099 .52381 .55856 .51942 .55405 Metetra .664 .741 .908 r .51942 .55405 .52381 .55856 .53191 .55612 .52754 .5516 Metetra .664 .741 .908 r .52754 .5516 .53191 .55612 .54004 .55367 .53568 .54914 Metetra .664 .741 .908 r .53568 .54914 .54004 .55367 .54819 .55122 .54385 .54667 Metetra .664 .741 .908 r .54385 .54667 .54819 .55122 .55637 .54876 .55204 .54419 Metetra .664 .741 .908 r .55204 .54419 .55637 .54876 .56457 .54629 .56026 .54171 Metetra .664 .741 .908 r .56026 .54171 .56457 .54629 .57279 .54381 .5685 .53922 Metetra .664 .741 .908 r .5685 .53922 .57279 .54381 .58105 .54133 .57677 .53672 Metetra .663 .741 .908 r .57677 .53672 .58105 .54133 .58932 .53883 .58507 .53421 Metetra .664 .741 .908 r .58507 .53421 .58932 .53883 .59763 .53633 .59339 .5317 Metetra .663 .741 .908 r .59339 .5317 .59763 .53633 .60596 .53383 .60174 .52918 Metetra .663 .742 .908 r .60174 .52918 .60596 .53383 .61432 .53131 .61011 .52667 Metetra .662 .742 .909 r .61011 .52667 .61432 .53131 .6227 .52879 .61851 .52416 Metetra .661 .743 .911 r .61851 .52416 .6227 .52879 .63111 .52625 .62694 .52166 Metetra .66 .745 .913 r .62694 .52166 .63111 .52625 .63955 .52371 .6354 .51919 Metetra .658 .748 .916 r .6354 .51919 .63955 .52371 .64801 .52117 .64389 .51674 Metetra .658 .753 .92 r .64389 .51674 .64801 .52117 .6565 .51861 .6524 .51428 Metetra .658 .758 .924 r .6524 .51428 .6565 .51861 .66502 .51605 .66094 .5118 Metetra .66 .763 .926 r .66094 .5118 .66502 .51605 .67356 .51348 .66951 .50926 Metetra .664 .767 .926 r .66951 .50926 .67356 .51348 .68213 .51089 .6781 .50661 Metetra .667 .765 .924 r .6781 .50661 .68213 .51089 .69073 .50831 .68671 .50391 Metetra .668 .761 .92 r .68671 .50391 .69073 .50831 .69936 .50571 .69535 .50117 Metetra .668 .755 .915 r .69535 .50117 .69936 .50571 .70801 .5031 .70402 .49842 Metetra .667 .749 .912 r .70402 .49842 .70801 .5031 .71669 .50048 .71271 .49571 Metetra .665 .745 .91 r .71271 .49571 .71669 .50048 .7254 .49786 .72144 .49303 Metetra .664 .743 .909 r .72144 .49303 .7254 .49786 .73414 .49523 .7302 .49036 Metetra .664 .742 .908 r .7302 .49036 .73414 .49523 .7429 .49259 .73898 .4877 Metetra .664 .741 .908 r .73898 .4877 .7429 .49259 .7517 .48994 .74779 .48503 Metetra .664 .741 .908 r .74779 .48503 .7517 .48994 .76052 .48729 .75664 .48236 Metetra .664 .741 .908 r .75664 .48236 .76052 .48729 .76937 .48462 .76551 .47968 Metetra .664 .741 .908 r .76551 .47968 .76937 .48462 .77825 .48195 .77441 .47699 Metetra .664 .741 .908 r .77441 .47699 .77825 .48195 .78716 .47927 .78334 .47429 Metetra .664 .741 .908 r .78334 .47429 .78716 .47927 .7961 .47658 .7923 .47158 Metetra .664 .741 .908 r .7923 .47158 .7961 .47658 .80506 .47388 .80128 .46887 Metetra .664 .741 .908 r .80128 .46887 .80506 .47388 .81406 .47117 .8103 .46614 Metetra .664 .741 .908 r .8103 .46614 .81406 .47117 .82309 .46845 .81935 .46341 Metetra .664 .741 .908 r .81935 .46341 .82309 .46845 .83214 .46572 .82842 .46067 Metetra .664 .741 .908 r .82842 .46067 .83214 .46572 .84123 .46299 .83753 .45791 Metetra .664 .741 .908 r .83753 .45791 .84123 .46299 .85034 .46024 .84667 .45515 Metetra .664 .741 .908 r .84667 .45515 .85034 .46024 .85949 .45749 .85583 .45238 Metetra .664 .741 .908 r .85583 .45238 .85949 .45749 .86866 .45473 .86503 .4496 Metetra .664 .741 .908 r .86503 .4496 .86866 .45473 .87787 .45196 .87426 .44682 Metetra .664 .741 .908 r .87426 .44682 .87787 .45196 .8871 .44918 .88352 .44402 Metetra .664 .741 .908 r .88352 .44402 .8871 .44918 .89637 .44639 .8928 .44121 Metetra .664 .741 .908 r .8928 .44121 .89637 .44639 .90566 .44359 .90212 .43839 Metetra .664 .741 .908 r .90212 .43839 .90566 .44359 .91499 .44078 .91148 .43557 Metetra .664 .741 .908 r .91148 .43557 .91499 .44078 .92435 .43796 .92086 .43273 Metetra .664 .741 .908 r .92086 .43273 .92435 .43796 .93374 .43513 .93027 .42989 Metetra .664 .741 .908 r .93027 .42989 .93374 .43513 .94316 .4323 .93972 .42703 Metetra .664 .741 .908 r .39598 .58562 .40063 .58995 .40838 .58761 .40375 .58327 Metetra .664 .741 .908 r .40375 .58327 .40838 .58761 .41616 .58526 .41153 .5809 Metetra .664 .741 .908 r .41153 .5809 .41616 .58526 .42395 .5829 .41935 .57853 Metetra .664 .741 .908 r .41935 .57853 .42395 .5829 .43178 .58054 .42718 .57616 Metetra .664 .741 .908 r .42718 .57616 .43178 .58054 .43962 .57817 .43505 .57377 Metetra .664 .741 .908 r .43505 .57377 .43962 .57817 .44749 .57579 .44293 .57138 Metetra .664 .741 .908 r .44293 .57138 .44749 .57579 .45539 .5734 .45084 .56898 Metetra .664 .741 .908 r .45084 .56898 .45539 .5734 .4633 .57101 .45877 .56657 Metetra .664 .741 .908 r .45877 .56657 .4633 .57101 .47125 .56861 .46673 .56416 Metetra .664 .741 .908 r .46673 .56416 .47125 .56861 .47921 .5662 .47472 .56174 Metetra .664 .741 .908 r .47472 .56174 .47921 .5662 .48721 .56379 .48272 .55931 Metetra .664 .741 .908 r .48272 .55931 .48721 .56379 .49522 .56136 .49076 .55687 Metetra .664 .741 .908 r .49076 .55687 .49522 .56136 .50326 .55893 .49881 .55443 Metetra .664 .741 .908 r .49881 .55443 .50326 .55893 .51133 .5565 .5069 .55198 Metetra .664 .741 .908 r .5069 .55198 .51133 .5565 .51942 .55405 .515 .54952 Metetra .664 .741 .908 r .515 .54952 .51942 .55405 .52754 .5516 .52314 .54705 Metetra .664 .741 .908 r .52314 .54705 .52754 .5516 .53568 .54914 .53129 .54458 Metetra .664 .741 .908 r .53129 .54458 .53568 .54914 .54385 .54667 .53948 .54209 Metetra .664 .741 .908 r .53948 .54209 .54385 .54667 .55204 .54419 .54769 .5396 Metetra .664 .741 .908 r .54769 .5396 .55204 .54419 .56026 .54171 .55592 .5371 Metetra .663 .741 .908 r .55592 .5371 .56026 .54171 .5685 .53922 .56418 .5346 Metetra .663 .741 .908 r .56418 .5346 .5685 .53922 .57677 .53672 .57247 .5321 Metetra .662 .741 .909 r .57247 .5321 .57677 .53672 .58507 .53421 .58079 .5296 Metetra .66 .742 .911 r .58079 .5296 .58507 .53421 .59339 .5317 .58913 .52715 Metetra .653 .743 .916 r .58913 .52715 .59339 .5317 .60174 .52918 .5975 .52485 Metetra .636 .748 .929 r .5975 .52485 .60174 .52918 .61011 .52667 .60591 .52284 Metetra .566 .75 .964 r .60591 .52284 .61011 .52667 .61851 .52416 .61437 .52181 Metetra .438 .781 .998 r .61437 .52181 .61851 .52416 .62694 .52166 .62289 .52127 Metetra .242 0 0 r .62289 .52127 .62694 .52166 .6354 .51919 .63152 .52324 Metetra .827 .436 .311 r .63152 .52324 .6354 .51919 .64389 .51674 .64074 .5396 Metetra .289 .053 .373 r .64074 .5396 .64389 .51674 .6524 .51428 .64887 .52491 Metetra .662 .312 .369 r .64887 .52491 .6524 .51428 .66094 .5118 .65786 .53166 Metetra .915 .618 .468 r .65786 .53166 .66094 .5118 .66951 .50926 .67261 .6651 Metetra .155 .038 .457 r .67261 .6651 .66951 .50926 .6781 .50661 .67516 .52578 Metetra .444 .167 .397 r .67516 .52578 .6781 .50661 .68671 .50391 .68369 .51984 Metetra .707 .388 .434 r .68369 .51984 .68671 .50391 .69535 .50117 .69325 .53297 Metetra .313 .101 .423 r .69325 .53297 .69535 .50117 .70402 .49842 .70108 .51301 Metetra .068 0 .222 r .70108 .51301 .70402 .49842 .71271 .49571 .70912 .49788 Metetra .533 .887 .66 r .70912 .49788 .71271 .49571 .72144 .49303 .71765 .49126 Metetra .736 .921 .954 r .71765 .49126 .72144 .49303 .7302 .49036 .7263 .48658 Metetra .698 .805 .932 r .7263 .48658 .7302 .49036 .73898 .4877 .73506 .48309 Metetra .674 .759 .915 r .73506 .48309 .73898 .4877 .74779 .48503 .74387 .48016 Metetra .666 .745 .909 r .74387 .48016 .74779 .48503 .75664 .48236 .75273 .47741 Metetra .664 .742 .908 r .75273 .47741 .75664 .48236 .76551 .47968 .76162 .47471 Metetra .664 .741 .908 r .76162 .47471 .76551 .47968 .77441 .47699 .77054 .472 Metetra .664 .741 .908 r .77054 .472 .77441 .47699 .78334 .47429 .77949 .46929 Metetra .664 .741 .908 r .77949 .46929 .78334 .47429 .7923 .47158 .78847 .46656 Metetra .664 .741 .908 r .78847 .46656 .7923 .47158 .80128 .46887 .79748 .46383 Metetra .664 .741 .908 r .79748 .46383 .80128 .46887 .8103 .46614 .80652 .46109 Metetra .664 .741 .908 r .80652 .46109 .8103 .46614 .81935 .46341 .81559 .45834 Metetra .664 .741 .908 r .81559 .45834 .81935 .46341 .82842 .46067 .82468 .45558 Metetra .664 .741 .908 r .82468 .45558 .82842 .46067 .83753 .45791 .83381 .45281 Metetra .664 .741 .908 r .83381 .45281 .83753 .45791 .84667 .45515 .84297 .45003 Metetra .664 .741 .908 r .84297 .45003 .84667 .45515 .85583 .45238 .85216 .44724 Metetra .664 .741 .908 r .85216 .44724 .85583 .45238 .86503 .4496 .86138 .44445 Metetra .664 .741 .908 r .86138 .44445 .86503 .4496 .87426 .44682 .87063 .44164 Metetra .664 .741 .908 r .87063 .44164 .87426 .44682 .88352 .44402 .87991 .43883 Metetra .664 .741 .908 r .87991 .43883 .88352 .44402 .8928 .44121 .88922 .436 Metetra .664 .741 .908 r .88922 .436 .8928 .44121 .90212 .43839 .89856 .43317 Metetra .664 .741 .908 r .89856 .43317 .90212 .43839 .91148 .43557 .90794 .43033 Metetra .664 .741 .908 r .90794 .43033 .91148 .43557 .92086 .43273 .91734 .42747 Metetra .664 .741 .908 r .91734 .42747 .92086 .43273 .93027 .42989 .92678 .42461 Metetra .664 .741 .908 r .92678 .42461 .93027 .42989 .93972 .42703 .93625 .42174 Metetra .664 .741 .908 r .3913 .58127 .39598 .58562 .40375 .58327 .39908 .5789 Metetra .664 .741 .908 r .39908 .5789 .40375 .58327 .41153 .5809 .40689 .57652 Metetra .664 .741 .908 r .40689 .57652 .41153 .5809 .41935 .57853 .41472 .57414 Metetra .664 .741 .908 r .41472 .57414 .41935 .57853 .42718 .57616 .42257 .57175 Metetra .664 .741 .908 r .42257 .57175 .42718 .57616 .43505 .57377 .43044 .56935 Metetra .664 .741 .908 r .43044 .56935 .43505 .57377 .44293 .57138 .43834 .56694 Metetra .664 .741 .908 r .43834 .56694 .44293 .57138 .45084 .56898 .44627 .56453 Metetra .664 .741 .908 r .44627 .56453 .45084 .56898 .45877 .56657 .45422 .56211 Metetra .664 .741 .908 r .45422 .56211 .45877 .56657 .46673 .56416 .46219 .55968 Metetra .664 .741 .908 r .46219 .55968 .46673 .56416 .47472 .56174 .47019 .55725 Metetra .664 .741 .908 r .47019 .55725 .47472 .56174 .48272 .55931 .47822 .5548 Metetra .664 .741 .908 r .47822 .5548 .48272 .55931 .49076 .55687 .48626 .55235 Metetra .664 .741 .908 r .48626 .55235 .49076 .55687 .49881 .55443 .49434 .5499 Metetra .664 .741 .908 r .49434 .5499 .49881 .55443 .5069 .55198 .50244 .54743 Metetra .664 .741 .908 r .50244 .54743 .5069 .55198 .515 .54952 .51056 .54496 Metetra .664 .741 .908 r .51056 .54496 .515 .54952 .52314 .54705 .51871 .54247 Metetra .664 .741 .908 r .51871 .54247 .52314 .54705 .53129 .54458 .52688 .53999 Metetra .663 .741 .908 r .52688 .53999 .53129 .54458 .53948 .54209 .53509 .53749 Metetra .663 .741 .908 r .53509 .53749 .53948 .54209 .54769 .5396 .54331 .53499 Metetra .663 .741 .908 r .54331 .53499 .54769 .5396 .55592 .5371 .55156 .53249 Metetra .661 .741 .91 r .55156 .53249 .55592 .5371 .56418 .5346 .55984 .53003 Metetra .653 .741 .915 r .55984 .53003 .56418 .5346 .57247 .5321 .56815 .52773 Metetra .624 .742 .932 r .56815 .52773 .57247 .5321 .58079 .5296 .57649 .52596 Metetra .404 .689 .977 r .57649 .52596 .58079 .5296 .58913 .52715 .58492 .52664 Metetra .399 0 0 r .58492 .52664 .58913 .52715 .5975 .52485 .59344 .52987 Metetra .709 .295 .26 r .59344 .52987 .5975 .52485 .60591 .52284 .60212 .53735 Metetra .724 .404 .436 r .60212 .53735 .60591 .52284 .61437 .52181 .61107 .55142 Metetra .407 .167 .435 r .61107 .55142 .61437 .52181 .62289 .52127 .61935 .53944 Metetra .594 .293 .428 r .61935 .53944 .62289 .52127 .63152 .52324 .6281 .54265 Metetra .528 .239 .419 r .6281 .54265 .63152 .52324 .64074 .5396 .63676 .54143 Metetra .63676 .54143 .64074 .5396 .64887 .52491 .64542 .53942 Metetra .537 .22 .378 r .64542 .53942 .64887 .52491 .65786 .53166 .6542 .53942 Metetra .483 .092 .222 r .6542 .53942 .65786 .53166 .67261 .6651 .663 .53911 Metetra .576 .383 .582 r .663 .53911 .67261 .6651 .67516 .52578 .67181 .53797 Metetra .51 .176 .336 r .67181 .53797 .67516 .52578 .68369 .51984 .68067 .53724 Metetra .549 .247 .408 r .68067 .53724 .68369 .51984 .69325 .53297 .68963 .53756 Metetra .469 .002 .062 r .68963 .53756 .69325 .53297 .70108 .51301 .69866 .53827 Metetra .536 .265 .451 r .69866 .53827 .70108 .51301 .70912 .49788 .70761 .53679 Metetra .515 .273 .485 r .70761 .53679 .70912 .49788 .71765 .49126 .71634 .53106 Metetra .524 .281 .488 r .71634 .53106 .71765 .49126 .7263 .48658 .72513 .5262 Metetra .62 .358 .499 r .72513 .5262 .7263 .48658 .73506 .48309 .73488 .53548 Metetra .155 .012 .421 r .73488 .53548 .73506 .48309 .74387 .48016 .74072 .48676 Metetra .74072 .48676 .74387 .48016 .75273 .47741 .74893 .47422 Metetra .728 .847 .938 r .74893 .47422 .75273 .47741 .76162 .47471 .75773 .46996 Metetra .673 .756 .913 r .75773 .46996 .76162 .47471 .77054 .472 .76666 .46701 Metetra .665 .743 .908 r .76666 .46701 .77054 .472 .77949 .46929 .77562 .46425 Metetra .664 .741 .908 r .77562 .46425 .77949 .46929 .78847 .46656 .78462 .46151 Metetra .664 .741 .908 r .78462 .46151 .78847 .46656 .79748 .46383 .79365 .45876 Metetra .664 .741 .908 r .79365 .45876 .79748 .46383 .80652 .46109 .80271 .456 Metetra .664 .741 .908 r .80271 .456 .80652 .46109 .81559 .45834 .8118 .45324 Metetra .664 .741 .908 r .8118 .45324 .81559 .45834 .82468 .45558 .82092 .45046 Metetra .664 .741 .908 r .82092 .45046 .82468 .45558 .83381 .45281 .83007 .44767 Metetra .664 .741 .908 r .83007 .44767 .83381 .45281 .84297 .45003 .83925 .44488 Metetra .664 .741 .908 r .83925 .44488 .84297 .45003 .85216 .44724 .84846 .44207 Metetra .664 .741 .908 r .84846 .44207 .85216 .44724 .86138 .44445 .8577 .43926 Metetra .664 .741 .908 r .8577 .43926 .86138 .44445 .87063 .44164 .86698 .43644 Metetra .664 .741 .908 r .86698 .43644 .87063 .44164 .87991 .43883 .87628 .43361 Metetra .664 .741 .908 r .87628 .43361 .87991 .43883 .88922 .436 .88561 .43076 Metetra .664 .741 .908 r .88561 .43076 .88922 .436 .89856 .43317 .89498 .42791 Metetra .664 .741 .908 r .89498 .42791 .89856 .43317 .90794 .43033 .90438 .42505 Metetra .664 .741 .908 r .90438 .42505 .90794 .43033 .91734 .42747 .9138 .42218 Metetra .664 .741 .908 r .9138 .42218 .91734 .42747 .92678 .42461 .92326 .4193 Metetra .664 .741 .908 r .92326 .4193 .92678 .42461 .93625 .42174 .93276 .41641 Metetra .664 .741 .908 r .3866 .57689 .3913 .58127 .39908 .5789 .39439 .57451 Metetra .664 .741 .908 r .39439 .57451 .39908 .5789 .40689 .57652 .40221 .57212 Metetra .664 .741 .908 r .40221 .57212 .40689 .57652 .41472 .57414 .41006 .56972 Metetra .664 .741 .908 r .41006 .56972 .41472 .57414 .42257 .57175 .41792 .56731 Metetra .664 .741 .908 r .41792 .56731 .42257 .57175 .43044 .56935 .42582 .5649 Metetra .664 .741 .908 r .42582 .5649 .43044 .56935 .43834 .56694 .43373 .56248 Metetra .664 .741 .908 r .43373 .56248 .43834 .56694 .44627 .56453 .44167 .56006 Metetra .664 .741 .908 r .44167 .56006 .44627 .56453 .45422 .56211 .44964 .55762 Metetra .664 .741 .908 r .44964 .55762 .45422 .56211 .46219 .55968 .45763 .55518 Metetra .664 .741 .908 r .45763 .55518 .46219 .55968 .47019 .55725 .46564 .55273 Metetra .664 .741 .908 r .46564 .55273 .47019 .55725 .47822 .5548 .47368 .55027 Metetra .664 .741 .908 r .47368 .55027 .47822 .5548 .48626 .55235 .48175 .54781 Metetra .664 .741 .908 r .48175 .54781 .48626 .55235 .49434 .5499 .48984 .54534 Metetra .664 .741 .908 r .48984 .54534 .49434 .5499 .50244 .54743 .49795 .54286 Metetra .664 .741 .908 r .49795 .54286 .50244 .54743 .51056 .54496 .50609 .54037 Metetra .664 .741 .908 r .50609 .54037 .51056 .54496 .51871 .54247 .51426 .53787 Metetra .663 .741 .908 r .51426 .53787 .51871 .54247 .52688 .53999 .52245 .53537 Metetra .663 .741 .908 r .52245 .53537 .52688 .53999 .53509 .53749 .53067 .53288 Metetra .66 .741 .91 r .53067 .53288 .53509 .53749 .54331 .53499 .53891 .53042 Metetra .648 .74 .916 r .53891 .53042 .54331 .53499 .55156 .53249 .54718 .52822 Metetra .588 .734 .944 r .54718 .52822 .55156 .53249 .55984 .53003 .55549 .52702 Metetra 0 .247 .676 r .55549 .52702 .55984 .53003 .56815 .52773 .56391 .53199 Metetra .575 .117 .128 r .56391 .53199 .56815 .52773 .57649 .52596 .57237 .5348 Metetra .745 .39 .381 r .57237 .5348 .57649 .52596 .58492 .52664 .58104 .54696 Metetra .41 .138 .388 r .58104 .54696 .58492 .52664 .59344 .52987 .58942 .53942 Metetra .527 .163 .293 r .58942 .53942 .59344 .52987 .60212 .53735 .59799 .53987 Metetra .157 0 0 r .59799 .53987 .60212 .53735 .61107 .55142 .60654 .53841 Metetra .603 .53 .745 r .60654 .53841 .61107 .55142 .61935 .53944 .61515 .53734 Metetra .448 .802 .997 r .61515 .53734 .61935 .53944 .6281 .54265 .62379 .53645 Metetra .591 .661 .886 r .62379 .53645 .6281 .54265 .63676 .54143 .63247 .53555 Metetra .583 .669 .898 r .63247 .53555 .63676 .54143 .64542 .53942 .64119 .53475 Metetra .558 .711 .943 r .64119 .53475 .64542 .53942 .6542 .53942 .64996 .53405 Metetra .566 .684 .919 r .64996 .53405 .6542 .53942 .663 .53911 .65877 .53344 Metetra .565 .671 .91 r .65877 .53344 .663 .53911 .67181 .53797 .66762 .53291 Metetra .548 .69 .933 r .66762 .53291 .67181 .53797 .68067 .53724 .67651 .53248 Metetra .534 .699 .945 r .67651 .53248 .68067 .53724 .68963 .53756 .68546 .53216 Metetra .542 .674 .924 r .68546 .53216 .68963 .53756 .69866 .53827 .69445 .53194 Metetra .552 .643 .893 r .69445 .53194 .69866 .53827 .70761 .53679 .70349 .53181 Metetra .52 .684 .941 r .70349 .53181 .70761 .53679 .71634 .53106 .71258 .53176 Metetra .109 0 0 r .71258 .53176 .71634 .53106 .72513 .5262 .72171 .53174 Metetra .452 .008 .102 r .72171 .53174 .72513 .5262 .73488 .53548 .7309 .53173 Metetra .349 .662 .972 r .7309 .53173 .73488 .53548 .74072 .48676 .74021 .53299 Metetra .647 .385 .508 r .74021 .53299 .74072 .48676 .74893 .47422 .75065 .54942 Metetra .469 .26 .512 r .75065 .54942 .74893 .47422 .75773 .46996 .75838 .52704 Metetra .085 0 .406 r .75838 .52704 .75773 .46996 .76666 .46701 .76311 .4668 Metetra .798 .993 .876 r .76311 .4668 .76666 .46701 .77562 .46425 .77177 .45962 Metetra .68 .766 .916 r .77177 .45962 .77562 .46425 .78462 .46151 .78076 .45646 Metetra .665 .743 .908 r .78076 .45646 .78462 .46151 .79365 .45876 .7898 .45366 Metetra .664 .741 .908 r .7898 .45366 .79365 .45876 .80271 .456 .79889 .45089 Metetra .664 .741 .908 r .79889 .45089 .80271 .456 .8118 .45324 .808 .4481 Metetra .664 .741 .908 r .808 .4481 .8118 .45324 .82092 .45046 .81714 .44531 Metetra .664 .741 .908 r .81714 .44531 .82092 .45046 .83007 .44767 .82631 .44251 Metetra .664 .741 .908 r .82631 .44251 .83007 .44767 .83925 .44488 .83551 .43969 Metetra .664 .741 .908 r .83551 .43969 .83925 .44488 .84846 .44207 .84474 .43687 Metetra .664 .741 .908 r .84474 .43687 .84846 .44207 .8577 .43926 .85401 .43404 Metetra .664 .741 .908 r .85401 .43404 .8577 .43926 .86698 .43644 .8633 .4312 Metetra .664 .741 .908 r .8633 .4312 .86698 .43644 .87628 .43361 .87263 .42835 Metetra .664 .741 .908 r .87263 .42835 .87628 .43361 .88561 .43076 .88198 .42549 Metetra .664 .741 .908 r .88198 .42549 .88561 .43076 .89498 .42791 .89137 .42262 Metetra .664 .741 .908 r .89137 .42262 .89498 .42791 .90438 .42505 .90079 .41974 Metetra .664 .741 .908 r .90079 .41974 .90438 .42505 .9138 .42218 .91024 .41686 Metetra .664 .741 .908 r .91024 .41686 .9138 .42218 .92326 .4193 .91973 .41396 Metetra .664 .741 .908 r .91973 .41396 .92326 .4193 .93276 .41641 .92924 .41105 Metetra .664 .741 .908 r .38187 .57248 .3866 .57689 .39439 .57451 .38968 .57009 Metetra .664 .741 .908 r .38968 .57009 .39439 .57451 .40221 .57212 .39751 .56769 Metetra .664 .741 .908 r .39751 .56769 .40221 .57212 .41006 .56972 .40537 .56527 Metetra .664 .741 .908 r .40537 .56527 .41006 .56972 .41792 .56731 .41325 .56286 Metetra .664 .741 .908 r .41325 .56286 .41792 .56731 .42582 .5649 .42116 .56043 Metetra .664 .741 .908 r .42116 .56043 .42582 .5649 .43373 .56248 .42909 .558 Metetra .664 .741 .908 r .42909 .558 .43373 .56248 .44167 .56006 .43705 .55556 Metetra .664 .741 .908 r .43705 .55556 .44167 .56006 .44964 .55762 .44503 .55311 Metetra .664 .741 .908 r .44503 .55311 .44964 .55762 .45763 .55518 .45304 .55065 Metetra .664 .741 .908 r .45304 .55065 .45763 .55518 .46564 .55273 .46107 .54819 Metetra .664 .741 .908 r .46107 .54819 .46564 .55273 .47368 .55027 .46912 .54572 Metetra .664 .741 .908 r .46912 .54572 .47368 .55027 .48175 .54781 .4772 .54324 Metetra .664 .741 .908 r .4772 .54324 .48175 .54781 .48984 .54534 .48531 .54075 Metetra .664 .741 .908 r .48531 .54075 .48984 .54534 .49795 .54286 .49344 .53826 Metetra .664 .741 .908 r .49344 .53826 .49795 .54286 .50609 .54037 .5016 .53576 Metetra .663 .741 .908 r .5016 .53576 .50609 .54037 .51426 .53787 .50978 .53325 Metetra .662 .741 .909 r .50978 .53325 .51426 .53787 .52245 .53537 .51799 .53078 Metetra .653 .74 .914 r .51799 .53078 .52245 .53537 .53067 .53288 .52622 .52848 Metetra .587 .728 .941 r .52622 .52848 .53067 .53288 .53891 .53042 .53449 .52734 Metetra .202 .612 .948 r .53449 .52734 .53891 .53042 .54718 .52822 .5428 .52909 Metetra .891 .515 .318 r .5428 .52909 .54718 .52822 .55549 .52702 .55135 .55202 Metetra .305 .066 .377 r .55135 .55202 .55549 .52702 .56391 .53199 .55964 .53774 Metetra .484 .052 .142 r .55964 .53774 .56391 .53199 .57237 .5348 .5681 .53819 Metetra .22 0 0 r .5681 .53819 .57237 .5348 .58104 .54696 .57657 .53656 Metetra .61 .567 .782 r .57657 .53656 .58104 .54696 .58942 .53942 .58508 .53531 Metetra .577 .744 .956 r .58508 .53531 .58942 .53942 .59799 .53987 .59362 .53415 Metetra .598 .681 .899 r .59362 .53415 .59799 .53987 .60654 .53841 .6022 .53303 Metetra .589 .691 .913 r .6022 .53303 .60654 .53841 .61515 .53734 .61082 .532 Metetra .584 .692 .916 r .61082 .532 .61515 .53734 .62379 .53645 .61948 .53105 Metetra .58 .688 .915 r .61948 .53105 .62379 .53645 .63247 .53555 .62818 .53019 Metetra .574 .688 .918 r .62818 .53019 .63247 .53555 .64119 .53475 .63692 .52941 Metetra .568 .687 .921 r .63692 .52941 .64119 .53475 .64996 .53405 .6457 .52873 Metetra .562 .685 .923 r .6457 .52873 .64996 .53405 .65877 .53344 .65452 .52815 Metetra .555 .684 .925 r .65452 .52815 .65877 .53344 .66762 .53291 .66339 .52766 Metetra .548 .683 .928 r .66339 .52766 .66762 .53291 .67651 .53248 .67231 .52727 Metetra .541 .682 .931 r .67231 .52727 .67651 .53248 .68546 .53216 .68127 .52699 Metetra .533 .681 .933 r .68127 .52699 .68546 .53216 .69445 .53194 .69028 .52681 Metetra .524 .68 .936 r .69028 .52681 .69445 .53194 .70349 .53181 .69934 .52675 Metetra .515 .679 .939 r .69934 .52675 .70349 .53181 .71258 .53176 .70846 .52679 Metetra .505 .679 .944 r .70846 .52679 .71258 .53176 .72171 .53174 .71762 .52694 Metetra .491 .681 .951 r .71762 .52694 .72171 .53174 .7309 .53173 .72684 .52721 Metetra .472 .686 .96 r .72684 .52721 .7309 .53173 .74021 .53299 .73611 .52758 Metetra .497 .657 .931 r .73611 .52758 .74021 .53299 .75065 .54942 .74544 .52804 Metetra .568 .455 .685 r .74544 .52804 .75065 .54942 .75838 .52704 .75484 .52878 Metetra .614 .077 0 r .75484 .52878 .75838 .52704 .76311 .4668 .76464 .53415 Metetra .823 .537 .505 r .76464 .53415 .76311 .4668 .77177 .45962 .78408 .66134 Metetra .117 .021 .46 r .78408 .66134 .77177 .45962 .78076 .45646 .77732 .457 Metetra .796 .999 .816 r .77732 .457 .78076 .45646 .7898 .45366 .78595 .44881 Metetra .675 .757 .913 r .78595 .44881 .7898 .45366 .79889 .45089 .79503 .44574 Metetra .664 .742 .908 r .79503 .44574 .79889 .45089 .808 .4481 .80417 .44294 Metetra .664 .741 .908 r .80417 .44294 .808 .4481 .81714 .44531 .81333 .44013 Metetra .664 .741 .908 r .81333 .44013 .81714 .44531 .82631 .44251 .82252 .43731 Metetra .664 .741 .908 r .82252 .43731 .82631 .44251 .83551 .43969 .83175 .43448 Metetra .664 .741 .908 r .83175 .43448 .83551 .43969 .84474 .43687 .841 .43164 Metetra .664 .741 .908 r .841 .43164 .84474 .43687 .85401 .43404 .85029 .42879 Metetra .664 .741 .908 r .85029 .42879 .85401 .43404 .8633 .4312 .8596 .42593 Metetra .664 .741 .908 r .8596 .42593 .8633 .4312 .87263 .42835 .86895 .42306 Metetra .664 .741 .908 r .86895 .42306 .87263 .42835 .88198 .42549 .87833 .42019 Metetra .664 .741 .908 r .87833 .42019 .88198 .42549 .89137 .42262 .88774 .4173 Metetra .664 .741 .908 r .88774 .4173 .89137 .42262 .90079 .41974 .89719 .4144 Metetra .664 .741 .908 r .89719 .4144 .90079 .41974 .91024 .41686 .90666 .4115 Metetra .664 .741 .908 r .90666 .4115 .91024 .41686 .91973 .41396 .91617 .40858 Metetra .664 .741 .908 r .91617 .40858 .91973 .41396 .92924 .41105 .92571 .40565 Metetra .664 .741 .908 r .37711 .56806 .38187 .57248 .38968 .57009 .38494 .56565 Metetra .664 .741 .908 r .38494 .56565 .38968 .57009 .39751 .56769 .39279 .56323 Metetra .664 .741 .908 r .39279 .56323 .39751 .56769 .40537 .56527 .40066 .5608 Metetra .664 .741 .908 r .40066 .5608 .40537 .56527 .41325 .56286 .40856 .55837 Metetra .664 .741 .908 r .40856 .55837 .41325 .56286 .42116 .56043 .41648 .55593 Metetra .664 .741 .908 r .41648 .55593 .42116 .56043 .42909 .558 .42443 .55349 Metetra .664 .741 .908 r .42443 .55349 .42909 .558 .43705 .55556 .4324 .55103 Metetra .664 .741 .908 r .4324 .55103 .43705 .55556 .44503 .55311 .4404 .54857 Metetra .664 .741 .908 r .4404 .54857 .44503 .55311 .45304 .55065 .44842 .5461 Metetra .664 .741 .908 r .44842 .5461 .45304 .55065 .46107 .54819 .45646 .54362 Metetra .664 .741 .908 r .45646 .54362 .46107 .54819 .46912 .54572 .46453 .54114 Metetra .664 .741 .908 r .46453 .54114 .46912 .54572 .4772 .54324 .47263 .53864 Metetra .664 .741 .908 r .47263 .53864 .4772 .54324 .48531 .54075 .48075 .53614 Metetra .663 .741 .908 r .48075 .53614 .48531 .54075 .49344 .53826 .4889 .53363 Metetra .663 .741 .908 r .4889 .53363 .49344 .53826 .5016 .53576 .49708 .53113 Metetra .659 .741 .91 r .49708 .53113 .5016 .53576 .50978 .53325 .50527 .52871 Metetra .63 .736 .924 r .50527 .52871 .50978 .53325 .51799 .53078 .5135 .52684 Metetra .431 .688 .972 r .5135 .52684 .51799 .53078 .52622 .52848 .52175 .52738 Metetra .85 .402 .138 r .52175 .52738 .52622 .52848 .53449 .52734 .53007 .54112 Metetra .39 .076 .309 r .53007 .54112 .53449 .52734 .5428 .52909 .53841 .53605 Metetra .457 .049 .177 r .53841 .53605 .5428 .52909 .55135 .55202 .54681 .53552 Metetra .608 .502 .708 r .54681 .53552 .55135 .55202 .55964 .53774 .55522 .53386 Metetra .585 .757 .96 r .55522 .53386 .55964 .53774 .5681 .53819 .56368 .53251 Metetra .608 .686 .897 r .56368 .53251 .5681 .53819 .57657 .53656 .57216 .53117 Metetra .601 .695 .909 r .57216 .53117 .57657 .53656 .58508 .53531 .58069 .52991 Metetra .597 .694 .91 r .58069 .52991 .58508 .53531 .59362 .53415 .58925 .52873 Metetra .593 .692 .911 r .58925 .52873 .59362 .53415 .6022 .53303 .59784 .52762 Metetra .588 .691 .913 r .59784 .52762 .6022 .53303 .61082 .532 .60648 .5266 Metetra .583 .69 .915 r .60648 .5266 .61082 .532 .61948 .53105 .61515 .52566 Metetra .578 .689 .917 r .61515 .52566 .61948 .53105 .62818 .53019 .62386 .52481 Metetra .572 .687 .919 r .62386 .52481 .62818 .53019 .63692 .52941 .63262 .52406 Metetra .566 .686 .921 r .63262 .52406 .63692 .52941 .6457 .52873 .64142 .5234 Metetra .559 .685 .924 r .64142 .5234 .6457 .52873 .65452 .52815 .65026 .52284 Metetra .552 .684 .926 r .65026 .52284 .65452 .52815 .66339 .52766 .65915 .52239 Metetra .545 .682 .929 r .65915 .52239 .66339 .52766 .67231 .52727 .66808 .52204 Metetra .537 .681 .932 r .66808 .52204 .67231 .52727 .68127 .52699 .67706 .52181 Metetra .528 .68 .935 r .67706 .52181 .68127 .52699 .69028 .52681 .68609 .52169 Metetra .519 .679 .938 r .68609 .52169 .69028 .52681 .69934 .52675 .69518 .52169 Metetra .509 .677 .941 r .69518 .52169 .69934 .52675 .70846 .52679 .70431 .5218 Metetra .498 .676 .945 r .70431 .5218 .70846 .52679 .71762 .52694 .7135 .52204 Metetra .486 .675 .948 r .7135 .52204 .71762 .52694 .72684 .52721 .72274 .52239 Metetra .474 .674 .952 r .72274 .52239 .72684 .52721 .73611 .52758 .73204 .52287 Metetra .46 .673 .956 r .73204 .52287 .73611 .52758 .74544 .52804 .7414 .52347 Metetra .445 .673 .96 r .7414 .52347 .74544 .52804 .75484 .52878 .75082 .52418 Metetra .44 .669 .959 r .75082 .52418 .75484 .52878 .76464 .53415 .76029 .52498 Metetra .539 .563 .827 r .76029 .52498 .76464 .53415 .78408 .66134 .76982 .52574 Metetra .569 .376 .579 r .76982 .52574 .78408 .66134 .77732 .457 .7794 .52658 Metetra .56 .326 .518 r .7794 .52658 .77732 .457 .78595 .44881 .7889 .52578 Metetra .081 0 .423 r .7889 .52578 .78595 .44881 .79503 .44574 .79135 .44277 Metetra .752 .874 .935 r .79135 .44277 .79503 .44574 .80417 .44294 .80032 .4378 Metetra .666 .745 .909 r .80032 .4378 .80417 .44294 .81333 .44013 .8095 .43491 Metetra .664 .741 .908 r .8095 .43491 .81333 .44013 .82252 .43731 .81871 .43208 Metetra .664 .741 .908 r .81871 .43208 .82252 .43731 .83175 .43448 .82796 .42923 Metetra .664 .741 .908 r .82796 .42923 .83175 .43448 .841 .43164 .83723 .42637 Metetra .664 .741 .908 r .83723 .42637 .841 .43164 .85029 .42879 .84654 .42351 Metetra .664 .741 .908 r .84654 .42351 .85029 .42879 .8596 .42593 .85588 .42063 Metetra .664 .741 .908 r .85588 .42063 .8596 .42593 .86895 .42306 .86525 .41775 Metetra .664 .741 .908 r .86525 .41775 .86895 .42306 .87833 .42019 .87466 .41485 Metetra .664 .741 .908 r .87466 .41485 .87833 .42019 .88774 .4173 .88409 .41194 Metetra .664 .741 .908 r .88409 .41194 .88774 .4173 .89719 .4144 .89356 .40903 Metetra .664 .741 .908 r .89356 .40903 .89719 .4144 .90666 .4115 .90306 .40611 Metetra .664 .741 .908 r .90306 .40611 .90666 .4115 .91617 .40858 .91259 .40317 Metetra .664 .741 .908 r .91259 .40317 .91617 .40858 .92571 .40565 .92215 .40023 Metetra .664 .741 .908 r .37233 .5636 .37711 .56806 .38494 .56565 .38017 .56118 Metetra .664 .741 .908 r .38017 .56118 .38494 .56565 .39279 .56323 .38803 .55875 Metetra .664 .741 .908 r .38803 .55875 .39279 .56323 .40066 .5608 .39592 .55631 Metetra .664 .741 .908 r .39592 .55631 .40066 .5608 .40856 .55837 .40383 .55386 Metetra .664 .741 .908 r .40383 .55386 .40856 .55837 .41648 .55593 .41177 .55141 Metetra .664 .741 .908 r .41177 .55141 .41648 .55593 .42443 .55349 .41973 .54895 Metetra .664 .741 .908 r .41973 .54895 .42443 .55349 .4324 .55103 .42772 .54648 Metetra .664 .741 .908 r .42772 .54648 .4324 .55103 .4404 .54857 .43573 .544 Metetra .664 .741 .908 r .43573 .544 .4404 .54857 .44842 .5461 .44377 .54152 Metetra .664 .741 .908 r .44377 .54152 .44842 .5461 .45646 .54362 .45183 .53903 Metetra .664 .741 .908 r .45183 .53903 .45646 .54362 .46453 .54114 .45992 .53653 Metetra .664 .741 .908 r .45992 .53653 .46453 .54114 .47263 .53864 .46803 .53402 Metetra .663 .741 .908 r .46803 .53402 .47263 .53864 .48075 .53614 .47617 .53151 Metetra .662 .741 .909 r .47617 .53151 .48075 .53614 .4889 .53363 .48434 .52901 Metetra .655 .74 .912 r .48434 .52901 .4889 .53363 .49708 .53113 .49253 .52667 Metetra .59 .727 .939 r .49253 .52667 .49708 .53113 .50527 .52871 .50073 .52547 Metetra .044 .504 .887 r .50073 .52547 .50527 .52871 .5135 .52684 .50895 .52828 Metetra .783 .331 .176 r .50895 .52828 .5135 .52684 .52175 .52738 .51722 .53812 Metetra .3 0 .208 r .51722 .53812 .52175 .52738 .53007 .54112 .52556 .53259 Metetra .603 .599 .82 r .52556 .53259 .53007 .54112 .53841 .53605 .53393 .53156 Metetra .613 .738 .934 r .53393 .53156 .53841 .53605 .54681 .53552 .54233 .52993 Metetra .613 .691 .899 r .54233 .52993 .54681 .53552 .55522 .53386 .55076 .52848 Metetra .609 .699 .908 r .55076 .52848 .55522 .53386 .56368 .53251 .55923 .52707 Metetra .605 .695 .907 r .55923 .52707 .56368 .53251 .57216 .53117 .56773 .52574 Metetra .601 .695 .909 r .56773 .52574 .57216 .53117 .58069 .52991 .57627 .52448 Metetra .596 .693 .91 r .57627 .52448 .58069 .52991 .58925 .52873 .58484 .5233 Metetra .592 .692 .912 r .58484 .5233 .58925 .52873 .59784 .52762 .59345 .5222 Metetra .587 .691 .914 r .59345 .5222 .59784 .52762 .60648 .5266 .6021 .52118 Metetra .582 .69 .916 r .6021 .52118 .60648 .5266 .61515 .52566 .61079 .52025 Metetra .576 .688 .918 r .61079 .52025 .61515 .52566 .62386 .52481 .61952 .51942 Metetra .57 .687 .92 r .61952 .51942 .62386 .52481 .63262 .52406 .6283 .51868 Metetra .563 .686 .922 r .6283 .51868 .63262 .52406 .64142 .5234 .63711 .51805 Metetra .556 .684 .924 r .63711 .51805 .64142 .5234 .65026 .52284 .64597 .51752 Metetra .549 .683 .927 r .64597 .51752 .65026 .52284 .65915 .52239 .65488 .5171 Metetra .541 .681 .93 r .65488 .5171 .65915 .52239 .66808 .52204 .66383 .5168 Metetra .532 .68 .933 r .66383 .5168 .66808 .52204 .67706 .52181 .67283 .51662 Metetra .523 .678 .936 r .67283 .51662 .67706 .52181 .68609 .52169 .68188 .51656 Metetra .513 .677 .939 r .68188 .51656 .68609 .52169 .69518 .52169 .69098 .51662 Metetra .502 .675 .943 r .69098 .51662 .69518 .52169 .70431 .5218 .70014 .51681 Metetra .49 .674 .946 r .70014 .51681 .70431 .5218 .7135 .52204 .70935 .51714 Metetra .477 .672 .95 r .70935 .51714 .7135 .52204 .72274 .52239 .71862 .51759 Metetra .463 .671 .953 r .71862 .51759 .72274 .52239 .73204 .52287 .72795 .51818 Metetra .449 .669 .957 r .72795 .51818 .73204 .52287 .7414 .52347 .73733 .5189 Metetra .433 .668 .961 r .73733 .5189 .7414 .52347 .75082 .52418 .74678 .51974 Metetra .415 .666 .964 r .74678 .51974 .75082 .52418 .76029 .52498 .75629 .52071 Metetra .396 .665 .967 r .75629 .52071 .76029 .52498 .76982 .52574 .76586 .52179 Metetra .364 .665 .972 r .76586 .52179 .76982 .52574 .7794 .52658 .77549 .52298 Metetra .351 .678 .978 r .77549 .52298 .7794 .52658 .7889 .52578 .78517 .52403 Metetra .909 .925 .813 r .78517 .52403 .7889 .52578 .79135 .44277 .79388 .51305 Metetra .137 .013 .436 r .79388 .51305 .79135 .44277 .80032 .4378 .79743 .44379 Metetra .79743 .44379 .80032 .4378 .8095 .43491 .80566 .4299 Metetra .673 .755 .912 r .80566 .4299 .8095 .43491 .81871 .43208 .81488 .42682 Metetra .664 .741 .908 r .81488 .42682 .81871 .43208 .82796 .42923 .82415 .42395 Metetra .664 .741 .908 r .82415 .42395 .82796 .42923 .83723 .42637 .83345 .42107 Metetra .664 .741 .908 r .83345 .42107 .83723 .42637 .84654 .42351 .84278 .41819 Metetra .664 .741 .908 r .84278 .41819 .84654 .42351 .85588 .42063 .85214 .4153 Metetra .664 .741 .908 r .85214 .4153 .85588 .42063 .86525 .41775 .86153 .41239 Metetra .664 .741 .908 r .86153 .41239 .86525 .41775 .87466 .41485 .87096 .40948 Metetra .664 .741 .908 r .87096 .40948 .87466 .41485 .88409 .41194 .88042 .40656 Metetra .664 .741 .908 r .88042 .40656 .88409 .41194 .89356 .40903 .88991 .40362 Metetra .664 .741 .908 r .88991 .40362 .89356 .40903 .90306 .40611 .89943 .40068 Metetra .664 .741 .908 r .89943 .40068 .90306 .40611 .91259 .40317 .90898 .39773 Metetra .664 .741 .908 r .90898 .39773 .91259 .40317 .92215 .40023 .91857 .39476 Metetra .664 .741 .908 r .36752 .55912 .37233 .5636 .38017 .56118 .37537 .55668 Metetra .664 .741 .908 r .37537 .55668 .38017 .56118 .38803 .55875 .38325 .55424 Metetra .664 .741 .908 r .38325 .55424 .38803 .55875 .39592 .55631 .39116 .55179 Metetra .664 .741 .908 r .39116 .55179 .39592 .55631 .40383 .55386 .39908 .54933 Metetra .664 .741 .908 r .39908 .54933 .40383 .55386 .41177 .55141 .40704 .54686 Metetra .664 .741 .908 r .40704 .54686 .41177 .55141 .41973 .54895 .41502 .54438 Metetra .664 .741 .908 r .41502 .54438 .41973 .54895 .42772 .54648 .42302 .5419 Metetra .664 .741 .908 r .42302 .5419 .42772 .54648 .43573 .544 .43105 .53941 Metetra .664 .741 .908 r .43105 .53941 .43573 .544 .44377 .54152 .4391 .53691 Metetra .664 .741 .908 r .4391 .53691 .44377 .54152 .45183 .53903 .44718 .5344 Metetra .664 .741 .908 r .44718 .5344 .45183 .53903 .45992 .53653 .45528 .53189 Metetra .663 .741 .908 r .45528 .53189 .45992 .53653 .46803 .53402 .46341 .52937 Metetra .662 .741 .909 r .46341 .52937 .46803 .53402 .47617 .53151 .47157 .52688 Metetra .65 .739 .914 r .47157 .52688 .47617 .53151 .48434 .52901 .47974 .52462 Metetra .562 .721 .948 r .47974 .52462 .48434 .52901 .49253 .52667 .48793 .5238 Metetra .9 .488 .188 r .48793 .5238 .49253 .52667 .50073 .52547 .49598 .54278 Metetra .184 0 .26 r .49598 .54278 .50073 .52547 .50895 .52828 .50436 .53043 Metetra .144 0 0 r .50436 .53043 .50895 .52828 .51722 .53812 .51268 .52935 Metetra .624 .604 .81 r .51268 .52935 .51722 .53812 .52556 .53259 .52103 .52767 Metetra .616 .72 .92 r .52103 .52767 .52556 .53259 .53393 .53156 .52941 .52606 Metetra .616 .697 .901 r .52941 .52606 .53393 .53156 .54233 .52993 .53783 .52452 Metetra .612 .699 .906 r .53783 .52452 .54233 .52993 .55076 .52848 .54628 .52304 Metetra .608 .697 .907 r .54628 .52304 .55076 .52848 .55923 .52707 .55476 .52163 Metetra .604 .696 .908 r .55476 .52163 .55923 .52707 .56773 .52574 .56327 .52029 Metetra .6 .695 .91 r .56327 .52029 .56773 .52574 .57627 .52448 .57183 .51903 Metetra .596 .694 .911 r .57183 .51903 .57627 .52448 .58484 .5233 .58042 .51785 Metetra .591 .692 .913 r .58042 .51785 .58484 .5233 .59345 .5222 .58904 .51675 Metetra .586 .691 .914 r .58904 .51675 .59345 .5222 .6021 .52118 .59771 .51574 Metetra .58 .69 .916 r .59771 .51574 .6021 .52118 .61079 .52025 .60641 .51483 Metetra .574 .688 .918 r .60641 .51483 .61079 .52025 .61952 .51942 .61516 .51401 Metetra .568 .687 .921 r .61516 .51401 .61952 .51942 .6283 .51868 .62395 .51329 Metetra .561 .685 .923 r .62395 .51329 .6283 .51868 .63711 .51805 .63278 .51268 Metetra .553 .684 .925 r .63278 .51268 .63711 .51805 .64597 .51752 .64166 .51219 Metetra .546 .682 .928 r .64166 .51219 .64597 .51752 .65488 .5171 .65058 .51181 Metetra .537 .68 .931 r .65058 .51181 .65488 .5171 .66383 .5168 .65955 .51155 Metetra .528 .679 .934 r .65955 .51155 .66383 .5168 .67283 .51662 .66857 .51142 Metetra .517 .677 .937 r .66857 .51142 .67283 .51662 .68188 .51656 .67764 .51142 Metetra .507 .675 .94 r .67764 .51142 .68188 .51656 .69098 .51662 .68677 .51155 Metetra .495 .673 .944 r .68677 .51155 .69098 .51662 .70014 .51681 .69595 .51182 Metetra .482 .671 .947 r .69595 .51182 .70014 .51681 .70935 .51714 .70518 .51224 Metetra .467 .669 .951 r .70518 .51224 .70935 .51714 .71862 .51759 .71447 .5128 Metetra .452 .667 .955 r .71447 .5128 .71862 .51759 .72795 .51818 .72383 .5135 Metetra .435 .665 .958 r .72383 .5135 .72795 .51818 .73733 .5189 .73324 .51435 Metetra .417 .662 .962 r .73324 .51435 .73733 .5189 .74678 .51974 .74272 .51534 Metetra .397 .66 .965 r .74272 .51534 .74678 .51974 .75629 .52071 .75226 .51647 Metetra .375 .657 .967 r .75226 .51647 .75629 .52071 .76586 .52179 .76186 .51773 Metetra .352 .654 .969 r .76186 .51773 .76586 .52179 .77549 .52298 .77154 .51912 Metetra .327 .65 .969 r .77154 .51912 .77549 .52298 .78517 .52403 .78128 .52061 Metetra .274 .644 .966 r .78128 .52061 .78517 .52403 .79388 .51305 .79108 .52223 Metetra .602 .215 .281 r .79108 .52223 .79388 .51305 .79743 .44379 .80117 .52628 Metetra .647 .395 .524 r .80117 .52628 .79743 .44379 .80566 .4299 .81359 .5555 Metetra .097 .001 .446 r .81359 .5555 .80566 .4299 .81488 .42682 .81108 .4222 Metetra .691 .781 .92 r .81108 .4222 .81488 .42682 .82415 .42395 .82031 .41863 Metetra .664 .741 .908 r .82031 .41863 .82415 .42395 .83345 .42107 .82963 .41574 Metetra .664 .741 .908 r .82963 .41574 .83345 .42107 .84278 .41819 .83899 .41284 Metetra .664 .741 .908 r .83899 .41284 .84278 .41819 .85214 .4153 .84837 .40993 Metetra .664 .741 .908 r .84837 .40993 .85214 .4153 .86153 .41239 .85779 .40701 Metetra .664 .741 .908 r .85779 .40701 .86153 .41239 .87096 .40948 .86724 .40407 Metetra .664 .741 .908 r .86724 .40407 .87096 .40948 .88042 .40656 .87672 .40113 Metetra .664 .741 .908 r .87672 .40113 .88042 .40656 .88991 .40362 .88623 .39818 Metetra .664 .741 .908 r .88623 .39818 .88991 .40362 .89943 .40068 .89578 .39522 Metetra .664 .741 .908 r .89578 .39522 .89943 .40068 .90898 .39773 .90536 .39225 Metetra .664 .741 .908 r .90536 .39225 .90898 .39773 .91857 .39476 .91497 .38926 Metetra .664 .741 .908 r .36268 .55462 .36752 .55912 .37537 .55668 .37055 .55216 Metetra .664 .741 .908 r .37055 .55216 .37537 .55668 .38325 .55424 .37844 .54971 Metetra .664 .741 .908 r .37844 .54971 .38325 .55424 .39116 .55179 .38636 .54724 Metetra .664 .741 .908 r .38636 .54724 .39116 .55179 .39908 .54933 .39431 .54477 Metetra .664 .741 .908 r .39431 .54477 .39908 .54933 .40704 .54686 .40227 .54228 Metetra .664 .741 .908 r .40227 .54228 .40704 .54686 .41502 .54438 .41027 .53979 Metetra .664 .741 .908 r .41027 .53979 .41502 .54438 .42302 .5419 .41829 .5373 Metetra .664 .741 .908 r .41829 .5373 .42302 .5419 .43105 .53941 .42633 .53479 Metetra .664 .741 .908 r .42633 .53479 .43105 .53941 .4391 .53691 .4344 .53228 Metetra .664 .741 .908 r .4344 .53228 .4391 .53691 .44718 .5344 .44249 .52976 Metetra .663 .741 .908 r .44249 .52976 .44718 .5344 .45528 .53189 .45061 .52723 Metetra .662 .741 .909 r .45061 .52723 .45528 .53189 .46341 .52937 .45876 .52473 Metetra .649 .739 .915 r .45876 .52473 .46341 .52937 .47157 .52688 .46693 .52249 Metetra .473 .686 .96 r .46693 .52249 .47157 .52688 .47974 .52462 .47508 .52277 Metetra .711 .174 0 r .47508 .52277 .47974 .52462 .48793 .5238 .48318 .53075 Metetra .234 0 .039 r .48318 .53075 .48793 .5238 .49598 .54278 .49148 .52683 Metetra .597 .499 .713 r .49148 .52683 .49598 .54278 .50436 .53043 .49977 .52574 Metetra .626 .733 .924 r .49977 .52574 .50436 .53043 .51268 .52935 .50811 .52391 Metetra .622 .701 .902 r .50811 .52391 .51268 .52935 .52103 .52767 .51648 .52225 Metetra .619 .701 .904 r .51648 .52225 .52103 .52767 .52941 .52606 .52487 .52063 Metetra .615 .7 .905 r .52487 .52063 .52941 .52606 .53783 .52452 .5333 .51908 Metetra .612 .699 .906 r .5333 .51908 .53783 .52452 .54628 .52304 .54176 .51759 Metetra .608 .698 .907 r .54176 .51759 .54628 .52304 .55476 .52163 .55026 .51618 Metetra .604 .697 .909 r .55026 .51618 .55476 .52163 .56327 .52029 .55879 .51483 Metetra .599 .695 .91 r .55879 .51483 .56327 .52029 .57183 .51903 .56736 .51357 Metetra .595 .694 .912 r .56736 .51357 .57183 .51903 .58042 .51785 .57596 .51239 Metetra .59 .692 .913 r .57596 .51239 .58042 .51785 .58904 .51675 .58461 .51129 Metetra .584 .691 .915 r .58461 .51129 .58904 .51675 .59771 .51574 .59329 .51029 Metetra .578 .69 .917 r .59329 .51029 .59771 .51574 .60641 .51483 .60201 .50939 Metetra .572 .688 .919 r .60201 .50939 .60641 .51483 .61516 .51401 .61077 .50858 Metetra .566 .686 .921 r .61077 .50858 .61516 .51401 .62395 .51329 .61958 .50789 Metetra .558 .685 .924 r .61958 .50789 .62395 .51329 .63278 .51268 .62842 .5073 Metetra .55 .683 .926 r .62842 .5073 .63278 .51268 .64166 .51219 .63732 .50684 Metetra .542 .681 .929 r .63732 .50684 .64166 .51219 .65058 .51181 .64626 .50649 Metetra .533 .679 .932 r .64626 .50649 .65058 .51181 .65955 .51155 .65525 .50628 Metetra .523 .677 .935 r .65525 .50628 .65955 .51155 .66857 .51142 .66429 .5062 Metetra .512 .675 .938 r .66429 .5062 .66857 .51142 .67764 .51142 .67338 .50627 Metetra .5 .673 .942 r .67338 .50627 .67764 .51142 .68677 .51155 .68253 .50648 Metetra .487 .671 .945 r .68253 .50648 .68677 .51155 .69595 .51182 .69173 .50683 Metetra .473 .668 .949 r .69173 .50683 .69595 .51182 .70518 .51224 .70098 .50735 Metetra .457 .666 .952 r .70098 .50735 .70518 .51224 .71447 .5128 .7103 .50802 Metetra .439 .663 .956 r .7103 .50802 .71447 .5128 .72383 .5135 .71968 .50885 Metetra .42 .66 .959 r .71968 .50885 .72383 .5135 .73324 .51435 .72913 .50984 Metetra .399 .656 .962 r .72913 .50984 .73324 .51435 .74272 .51534 .73863 .51099 Metetra .376 .652 .965 r .73863 .51099 .74272 .51534 .75226 .51647 .74821 .5123 Metetra .351 .648 .966 r .74821 .5123 .75226 .51647 .76186 .51773 .75785 .51375 Metetra .323 .643 .967 r .75785 .51375 .76186 .51773 .77154 .51912 .76756 .51535 Metetra .293 .637 .965 r .76756 .51535 .77154 .51912 .78128 .52061 .77734 .51707 Metetra .261 .631 .962 r .77734 .51707 .78128 .52061 .79108 .52223 .78719 .5189 Metetra .23 .624 .956 r .78719 .5189 .79108 .52223 .80117 .52628 .79711 .52082 Metetra .405 .618 .937 r .79711 .52082 .80117 .52628 .81359 .5555 .80708 .52253 Metetra .788 .567 .601 r .80708 .52253 .81359 .5555 .81108 .4222 .81355 .48569 Metetra .063 0 .409 r .81355 .48569 .81108 .4222 .82031 .41863 .81658 .41458 Metetra .717 .819 .928 r .81658 .41458 .82031 .41863 .82963 .41574 .8258 .41038 Metetra .664 .741 .908 r .8258 .41038 .82963 .41574 .83899 .41284 .83517 .40746 Metetra .664 .741 .908 r .83517 .40746 .83899 .41284 .84837 .40993 .84458 .40453 Metetra .664 .741 .908 r .84458 .40453 .84837 .40993 .85779 .40701 .85402 .40159 Metetra .664 .741 .908 r .85402 .40159 .85779 .40701 .86724 .40407 .86349 .39864 Metetra .664 .741 .908 r .86349 .39864 .86724 .40407 .87672 .40113 .873 .39568 Metetra .664 .741 .908 r .873 .39568 .87672 .40113 .88623 .39818 .88254 .3927 Metetra .664 .741 .908 r .88254 .3927 .88623 .39818 .89578 .39522 .89211 .38972 Metetra .664 .741 .908 r .89211 .38972 .89578 .39522 .90536 .39225 .90171 .38673 Metetra .664 .741 .908 r .90171 .38673 .90536 .39225 .91497 .38926 .91135 .38373 Metetra .664 .741 .908 r .35781 .55008 .36268 .55462 .37055 .55216 .3657 .54762 Metetra .664 .741 .908 r .3657 .54762 .37055 .55216 .37844 .54971 .37361 .54515 Metetra .664 .741 .908 r .37361 .54515 .37844 .54971 .38636 .54724 .38154 .54267 Metetra .664 .741 .908 r .38154 .54267 .38636 .54724 .39431 .54477 .3895 .54018 Metetra .664 .741 .908 r .3895 .54018 .39431 .54477 .40227 .54228 .39748 .53768 Metetra .664 .741 .908 r .39748 .53768 .40227 .54228 .41027 .53979 .40549 .53518 Metetra .664 .741 .908 r .40549 .53518 .41027 .53979 .41829 .5373 .41353 .53266 Metetra .664 .741 .908 r .41353 .53266 .41829 .5373 .42633 .53479 .42159 .53014 Metetra .664 .741 .908 r .42159 .53014 .42633 .53479 .4344 .53228 .42967 .52762 Metetra .663 .741 .908 r .42967 .52762 .4344 .53228 .44249 .52976 .43778 .52509 Metetra .662 .741 .909 r .43778 .52509 .44249 .52976 .45061 .52723 .44592 .52257 Metetra .65 .739 .914 r .44592 .52257 .45061 .52723 .45876 .52473 .45408 .52031 Metetra .415 .659 .96 r .45408 .52031 .45876 .52473 .46693 .52249 .4622 .52118 Metetra 0 .497 .761 r .4622 .52118 .46693 .52249 .47508 .52277 .47035 .52281 Metetra .23 0 0 r .47035 .52281 .47508 .52277 .48318 .53075 .47856 .52413 Metetra .64 .666 .859 r .47856 .52413 .48318 .53075 .49148 .52683 .48685 .52206 Metetra .625 .73 .922 r .48685 .52206 .49148 .52683 .49977 .52574 .49517 .52025 Metetra .625 .701 .899 r .49517 .52025 .49977 .52574 .50811 .52391 .50352 .5185 Metetra .622 .703 .904 r .50352 .5185 .50811 .52391 .51648 .52225 .5119 .51681 Metetra .618 .702 .904 r .5119 .51681 .51648 .52225 .52487 .52063 .52031 .51519 Metetra .615 .701 .906 r .52031 .51519 .52487 .52063 .5333 .51908 .52875 .51362 Metetra .611 .7 .907 r .52875 .51362 .5333 .51908 .54176 .51759 .53723 .51213 Metetra .607 .698 .908 r .53723 .51213 .54176 .51759 .55026 .51618 .54574 .5107 Metetra .603 .697 .909 r .54574 .5107 .55026 .51618 .55879 .51483 .55429 .50936 Metetra .598 .696 .911 r .55429 .50936 .55879 .51483 .56736 .51357 .56287 .50809 Metetra .594 .694 .913 r .56287 .50809 .56736 .51357 .57596 .51239 .57149 .50691 Metetra .588 .693 .914 r .57149 .50691 .57596 .51239 .58461 .51129 .58015 .50582 Metetra .583 .691 .916 r .58015 .50582 .58461 .51129 .59329 .51029 .58884 .50482 Metetra .577 .69 .918 r .58884 .50482 .59329 .51029 .60201 .50939 .59758 .50393 Metetra .57 .688 .92 r .59758 .50393 .60201 .50939 .61077 .50858 .60636 .50314 Metetra .563 .686 .922 r .60636 .50314 .61077 .50858 .61958 .50789 .61518 .50246 Metetra .556 .684 .925 r .61518 .50246 .61958 .50789 .62842 .5073 .62404 .50191 Metetra .547 .682 .927 r .62404 .50191 .62842 .5073 .63732 .50684 .63295 .50147 Metetra .538 .68 .93 r .63295 .50147 .63732 .50684 .64626 .50649 .64191 .50117 Metetra .529 .678 .933 r .64191 .50117 .64626 .50649 .65525 .50628 .65092 .501 Metetra .518 .676 .936 r .65092 .501 .65525 .50628 .66429 .5062 .65998 .50098 Metetra .506 .673 .939 r .65998 .50098 .66429 .5062 .67338 .50627 .66909 .50111 Metetra .493 .671 .943 r .66909 .50111 .67338 .50627 .68253 .50648 .67826 .5014 Metetra .479 .668 .946 r .67826 .5014 .68253 .50648 .69173 .50683 .68748 .50185 Metetra .463 .665 .95 r .68748 .50185 .69173 .50683 .70098 .50735 .69677 .50246 Metetra .445 .662 .953 r .69677 .50246 .70098 .50735 .7103 .50802 .70611 .50325 Metetra .426 .658 .957 r .70611 .50325 .7103 .50802 .71968 .50885 .71552 .50422 Metetra .404 .654 .96 r .71552 .50422 .71968 .50885 .72913 .50984 .72499 .50536 Metetra .38 .649 .962 r .72499 .50536 .72913 .50984 .73863 .51099 .73453 .50669 Metetra .353 .643 .964 r .73453 .50669 .73863 .51099 .74821 .5123 .74414 .50818 Metetra .323 .637 .964 r .74414 .50818 .74821 .5123 .75785 .51375 .75382 .50985 Metetra .29 .629 .963 r .75382 .50985 .75785 .51375 .76756 .51535 .76357 .51168 Metetra .254 .621 .958 r .76357 .51168 .76756 .51535 .77734 .51707 .77339 .51366 Metetra .215 .61 .951 r .77339 .51366 .77734 .51707 .78719 .5189 .78329 .51577 Metetra .173 .598 .939 r .78329 .51577 .78719 .5189 .79711 .52082 .79326 .51799 Metetra .129 .584 .923 r .79326 .51799 .79711 .52082 .80708 .52253 .80331 .52028 Metetra .064 .567 .887 r .80331 .52028 .80708 .52253 .81355 .48569 .81341 .52247 Metetra .448 .21 .459 r .81341 .52247 .81355 .48569 .81658 .41458 .82227 .51076 Metetra .085 0 .434 r .82227 .51076 .81658 .41458 .8258 .41038 .8221 .40661 Metetra .73 .839 .932 r .8221 .40661 .8258 .41038 .83517 .40746 .83134 .40204 Metetra .664 .742 .908 r .83134 .40204 .83517 .40746 .84458 .40453 .84077 .39909 Metetra .664 .741 .908 r .84077 .39909 .84458 .40453 .85402 .40159 .85023 .39613 Metetra .664 .741 .908 r .85023 .39613 .85402 .40159 .86349 .39864 .85973 .39316 Metetra .664 .741 .908 r .85973 .39316 .86349 .39864 .873 .39568 .86925 .39018 Metetra .664 .741 .908 r .86925 .39018 .873 .39568 .88254 .3927 .87882 .38719 Metetra .664 .741 .908 r .87882 .38719 .88254 .3927 .89211 .38972 .88841 .38419 Metetra .664 .741 .908 r .88841 .38419 .89211 .38972 .90171 .38673 .89804 .38118 Metetra .664 .741 .908 r .89804 .38118 .90171 .38673 .91135 .38373 .9077 .37816 Metetra .664 .741 .908 r .35292 .54553 .35781 .55008 .3657 .54762 .36082 .54305 Metetra .664 .741 .908 r .36082 .54305 .3657 .54762 .37361 .54515 .36874 .54056 Metetra .664 .741 .908 r .36874 .54056 .37361 .54515 .38154 .54267 .37669 .53807 Metetra .664 .741 .908 r .37669 .53807 .38154 .54267 .3895 .54018 .38467 .53556 Metetra .664 .741 .908 r .38467 .53556 .3895 .54018 .39748 .53768 .39267 .53305 Metetra .664 .741 .908 r .39267 .53305 .39748 .53768 .40549 .53518 .40069 .53053 Metetra .664 .741 .908 r .40069 .53053 .40549 .53518 .41353 .53266 .40874 .52801 Metetra .664 .741 .908 r .40874 .52801 .41353 .53266 .42159 .53014 .41682 .52547 Metetra .663 .741 .908 r .41682 .52547 .42159 .53014 .42967 .52762 .42492 .52293 Metetra .662 .741 .908 r .42492 .52293 .42967 .52762 .43778 .52509 .43304 .5204 Metetra .653 .739 .913 r .43304 .5204 .43778 .52509 .44592 .52257 .44119 .51807 Metetra .569 .721 .944 r .44119 .51807 .44592 .52257 .45408 .52031 .44933 .51714 Metetra 0 .267 .69 r .44933 .51714 .45408 .52031 .4622 .52118 .45739 .52167 Metetra .078 .638 .708 r .45739 .52167 .4622 .52118 .47035 .52281 .46562 .5208 Metetra .598 .862 .993 r .46562 .5208 .47035 .52281 .47856 .52413 .4739 .51848 Metetra .629 .696 .893 r .4739 .51848 .47856 .52413 .48685 .52206 .4822 .51665 Metetra .628 .706 .902 r .4822 .51665 .48685 .52206 .49517 .52025 .49053 .51483 Metetra .625 .705 .903 r .49053 .51483 .49517 .52025 .50352 .5185 .4989 .51307 Metetra .622 .704 .904 r .4989 .51307 .50352 .5185 .5119 .51681 .50729 .51137 Metetra .618 .703 .905 r .50729 .51137 .5119 .51681 .52031 .51519 .51572 .50973 Metetra .615 .701 .906 r .51572 .50973 .52031 .51519 .52875 .51362 .52418 .50816 Metetra .611 .7 .907 r .52418 .50816 .52875 .51362 .53723 .51213 .53267 .50665 Metetra .607 .699 .909 r .53267 .50665 .53723 .51213 .54574 .5107 .54119 .50522 Metetra .602 .697 .91 r .54119 .50522 .54574 .5107 .55429 .50936 .54976 .50387 Metetra .598 .696 .912 r .54976 .50387 .55429 .50936 .56287 .50809 .55835 .5026 Metetra .593 .694 .913 r .55835 .5026 .56287 .50809 .57149 .50691 .56699 .50142 Metetra .587 .693 .915 r .56699 .50142 .57149 .50691 .58015 .50582 .57566 .50033 Metetra .581 .691 .917 r .57566 .50033 .58015 .50582 .58884 .50482 .58437 .49934 Metetra .575 .69 .919 r .58437 .49934 .58884 .50482 .59758 .50393 .59312 .49846 Metetra .568 .688 .921 r .59312 .49846 .59758 .50393 .60636 .50314 .60192 .49768 Metetra .561 .686 .923 r .60192 .49768 .60636 .50314 .61518 .50246 .61076 .49703 Metetra .553 .684 .926 r .61076 .49703 .61518 .50246 .62404 .50191 .61964 .49649 Metetra .544 .682 .928 r .61964 .49649 .62404 .50191 .63295 .50147 .62857 .49609 Metetra .535 .679 .931 r .62857 .49609 .63295 .50147 .64191 .50117 .63754 .49583 Metetra .524 .677 .934 r .63754 .49583 .64191 .50117 .65092 .501 .64657 .49571 Metetra .513 .674 .937 r .64657 .49571 .65092 .501 .65998 .50098 .65565 .49575 Metetra .5 .671 .941 r .65565 .49575 .65998 .50098 .66909 .50111 .66478 .49595 Metetra .486 .668 .944 r .66478 .49595 .66909 .50111 .67826 .5014 .67397 .49631 Metetra .47 .665 .947 r .67397 .49631 .67826 .5014 .68748 .50185 .68321 .49686 Metetra .452 .661 .951 r .68321 .49686 .68748 .50185 .69677 .50246 .69252 .49758 Metetra .433 .657 .954 r .69252 .49758 .69677 .50246 .70611 .50325 .70189 .4985 Metetra .411 .652 .957 r .70189 .4985 .70611 .50325 .71552 .50422 .71132 .49961 Metetra .386 .647 .96 r .71132 .49961 .71552 .50422 .72499 .50536 .72083 .50092 Metetra .358 .64 .962 r .72083 .50092 .72499 .50536 .73453 .50669 .7304 .50243 Metetra .327 .633 .962 r .7304 .50243 .73453 .50669 .74414 .50818 .74004 .50414 Metetra .292 .624 .96 r .74004 .50414 .74414 .50818 .75382 .50985 .74976 .50604 Metetra .252 .613 .956 r .74976 .50604 .75382 .50985 .76357 .51168 .75956 .50813 Metetra .209 .6 .948 r .75956 .50813 .76357 .51168 .77339 .51366 .76943 .51039 Metetra .161 .584 .935 r .76943 .51039 .77339 .51366 .78329 .51577 .77938 .51281 Metetra .109 .565 .915 r .77938 .51281 .78329 .51577 .79326 .51799 .7894 .51537 Metetra .056 .544 .889 r .7894 .51537 .79326 .51799 .80331 .52028 .7995 .51802 Metetra .001 .52 .856 r .7995 .51802 .80331 .52028 .81341 .52247 .80968 .52073 Metetra 0 .476 .793 r .80968 .52073 .81341 .52247 .82227 .51076 .81994 .52352 Metetra .864 .509 .378 r .81994 .52352 .82227 .51076 .8221 .40661 .83391 .56423 Metetra .101 .008 .453 r .83391 .56423 .8221 .40661 .83134 .40204 .82759 .39778 Metetra .712 .812 .927 r .82759 .39778 .83134 .40204 .84077 .39909 .83693 .39362 Metetra .664 .741 .908 r .83693 .39362 .84077 .39909 .85023 .39613 .84641 .39064 Metetra .664 .741 .908 r .84641 .39064 .85023 .39613 .85973 .39316 .85593 .38765 Metetra .664 .741 .908 r .85593 .38765 .85973 .39316 .86925 .39018 .86549 .38466 Metetra .664 .741 .908 r .86549 .38466 .86925 .39018 .87882 .38719 .87507 .38165 Metetra .664 .741 .908 r .87507 .38165 .87882 .38719 .88841 .38419 .88469 .37863 Metetra .664 .741 .908 r .88469 .37863 .88841 .38419 .89804 .38118 .89434 .3756 Metetra .664 .741 .908 r .89434 .3756 .89804 .38118 .9077 .37816 .90403 .37256 Metetra .664 .741 .908 r .34799 .54094 .35292 .54553 .36082 .54305 .35591 .53845 Metetra .664 .741 .908 r .35591 .53845 .36082 .54305 .36874 .54056 .36385 .53595 Metetra .664 .741 .908 r .36385 .53595 .36874 .54056 .37669 .53807 .37182 .53344 Metetra .664 .741 .908 r .37182 .53344 .37669 .53807 .38467 .53556 .37981 .53092 Metetra .664 .741 .908 r .37981 .53092 .38467 .53556 .39267 .53305 .38782 .5284 Metetra .664 .741 .908 r .38782 .5284 .39267 .53305 .40069 .53053 .39586 .52586 Metetra .664 .741 .908 r .39586 .52586 .40069 .53053 .40874 .52801 .40393 .52332 Metetra .663 .741 .908 r .40393 .52332 .40874 .52801 .41682 .52547 .41202 .52077 Metetra .663 .741 .908 r .41202 .52077 .41682 .52547 .42492 .52293 .42014 .51823 Metetra .658 .74 .911 r .42014 .51823 .42492 .52293 .43304 .5204 .42828 .51579 Metetra .592 .725 .936 r .42828 .51579 .43304 .5204 .44119 .51807 .43641 .51453 Metetra .82 .342 0 r .43641 .51453 .44119 .51807 .44933 .51714 .44424 .52676 Metetra .44424 .52676 .44933 .51714 .45739 .52167 .45267 .51672 Metetra .618 .72 .919 r .45267 .51672 .45739 .52167 .46562 .5208 .46092 .51505 Metetra .634 .695 .889 r .46092 .51505 .46562 .5208 .4739 .51848 .46921 .51313 Metetra .631 .709 .903 r .46921 .51313 .4739 .51848 .4822 .51665 .47753 .51124 Metetra .628 .707 .903 r .47753 .51124 .4822 .51665 .49053 .51483 .48587 .50941 Metetra .625 .706 .904 r .48587 .50941 .49053 .51483 .4989 .51307 .49425 .50763 Metetra .621 .704 .905 r .49425 .50763 .4989 .51307 .50729 .51137 .50266 .50591 Metetra .618 .703 .906 r .50266 .50591 .50729 .51137 .51572 .50973 .5111 .50426 Metetra .614 .702 .907 r .5111 .50426 .51572 .50973 .52418 .50816 .51957 .50268 Metetra .61 .701 .908 r .51957 .50268 .52418 .50816 .53267 .50665 .52808 .50116 Metetra .606 .699 .91 r .52808 .50116 .53267 .50665 .54119 .50522 .53662 .49973 Metetra .602 .698 .911 r .53662 .49973 .54119 .50522 .54976 .50387 .5452 .49837 Metetra .597 .696 .912 r .5452 .49837 .54976 .50387 .55835 .5026 .55381 .4971 Metetra .592 .695 .914 r .55381 .4971 .55835 .5026 .56699 .50142 .56246 .49591 Metetra .586 .693 .916 r .56246 .49591 .56699 .50142 .57566 .50033 .57115 .49483 Metetra .58 .691 .918 r .57115 .49483 .57566 .50033 .58437 .49934 .57988 .49384 Metetra .574 .69 .92 r .57988 .49384 .58437 .49934 .59312 .49846 .58864 .49297 Metetra .567 .688 .922 r .58864 .49297 .59312 .49846 .60192 .49768 .59745 .49221 Metetra .559 .686 .924 r .59745 .49221 .60192 .49768 .61076 .49703 .60631 .49157 Metetra .55 .683 .927 r .60631 .49157 .61076 .49703 .61964 .49649 .61521 .49107 Metetra .541 .681 .929 r .61521 .49107 .61964 .49649 .62857 .49609 .62415 .4907 Metetra .531 .678 .932 r .62415 .4907 .62857 .49609 .63754 .49583 .63315 .49047 Metetra .52 .676 .935 r .63315 .49047 .63754 .49583 .64657 .49571 .64219 .49041 Metetra .507 .673 .938 r .64219 .49041 .64657 .49571 .65565 .49575 .65129 .4905 Metetra .493 .669 .942 r .65129 .4905 .65565 .49575 .66478 .49595 .66044 .49077 Metetra .478 .666 .945 r .66044 .49077 .66478 .49595 .67397 .49631 .66965 .49122 Metetra .461 .662 .948 r .66965 .49122 .67397 .49631 .68321 .49686 .67892 .49186 Metetra .441 .657 .952 r .67892 .49186 .68321 .49686 .69252 .49758 .68825 .49271 Metetra .42 .652 .955 r .68825 .49271 .69252 .49758 .70189 .4985 .69765 .49376 Metetra .395 .646 .958 r .69765 .49376 .70189 .4985 .71132 .49961 .70711 .49502 Metetra .367 .639 .96 r .70711 .49502 .71132 .49961 .72083 .50092 .71664 .49651 Metetra .334 .63 .96 r .71664 .49651 .72083 .50092 .7304 .50243 .72625 .49822 Metetra .298 .62 .959 r .72625 .49822 .7304 .50243 .74004 .50414 .73593 .50016 Metetra .256 .607 .954 r .73593 .50016 .74004 .50414 .74976 .50604 .74569 .50232 Metetra .209 .592 .946 r .74569 .50232 .74976 .50604 .75956 .50813 .75552 .5047 Metetra .157 .573 .932 r .75552 .5047 .75956 .50813 .76943 .51039 .76544 .50728 Metetra .099 .551 .911 r .76544 .50728 .76943 .51039 .77938 .51281 .77545 .51005 Metetra .036 .523 .881 r .77545 .51005 .77938 .51281 .7894 .51537 .78553 .51299 Metetra 0 .492 .842 r .78553 .51299 .7894 .51537 .7995 .51802 .7957 .51605 Metetra 0 .457 .793 r .7957 .51605 .7995 .51802 .80968 .52073 .80594 .51919 Metetra 0 .42 .736 r .80594 .51919 .80968 .52073 .81994 .52352 .81626 .52236 Metetra 0 .38 .677 r .81626 .52236 .81994 .52352 .83391 .56423 .82667 .52561 Metetra 0 0 .347 r .82667 .52561 .83391 .56423 .82759 .39778 .84437 .60231 Metetra .107 .016 .459 r .84437 .60231 .82759 .39778 .83693 .39362 .83311 .38859 Metetra .683 .769 .916 r .83311 .38859 .83693 .39362 .84641 .39064 .84258 .38512 Metetra .664 .741 .908 r .84258 .38512 .84641 .39064 .85593 .38765 .85212 .38211 Metetra .664 .741 .908 r .85212 .38211 .85593 .38765 .86549 .38466 .86169 .37909 Metetra .664 .741 .908 r .86169 .37909 .86549 .38466 .87507 .38165 .8713 .37607 Metetra .664 .741 .908 r .8713 .37607 .87507 .38165 .88469 .37863 .88095 .37303 Metetra .664 .741 .908 r .88095 .37303 .88469 .37863 .89434 .3756 .89062 .36998 Metetra .664 .741 .908 r .89062 .36998 .89434 .3756 .90403 .37256 .90033 .36692 Metetra .664 .741 .908 r .34304 .53633 .34799 .54094 .35591 .53845 .35097 .53382 Metetra .664 .741 .908 r .35097 .53382 .35591 .53845 .36385 .53595 .35893 .53131 Metetra .664 .741 .908 r .35893 .53131 .36385 .53595 .37182 .53344 .36691 .52878 Metetra .664 .741 .908 r .36691 .52878 .37182 .53344 .37981 .53092 .37492 .52625 Metetra .664 .741 .908 r .37492 .52625 .37981 .53092 .38782 .5284 .38295 .52371 Metetra .664 .741 .908 r .38295 .52371 .38782 .5284 .39586 .52586 .391 .52116 Metetra .664 .741 .908 r .391 .52116 .39586 .52586 .40393 .52332 .39908 .51861 Metetra .663 .741 .908 r .39908 .51861 .40393 .52332 .41202 .52077 .40719 .51605 Metetra .66 .741 .909 r .40719 .51605 .41202 .52077 .42014 .51823 .41532 .51354 Metetra .626 .733 .924 r .41532 .51354 .42014 .51823 .42828 .51579 .42346 .51171 Metetra .392 .669 .97 r .42346 .51171 .42828 .51579 .43641 .51453 .43155 .51253 Metetra .157 .646 .919 r .43155 .51253 .43641 .51453 .44424 .52676 .43968 .51344 Metetra .612 .531 .739 r .43968 .51344 .44424 .52676 .45267 .51672 .44791 .51174 Metetra .638 .727 .913 r .44791 .51174 .45267 .51672 .46092 .51505 .45619 .50967 Metetra .633 .71 .902 r .45619 .50967 .46092 .51505 .46921 .51313 .46449 .50772 Metetra .631 .708 .902 r .46449 .50772 .46921 .51313 .47753 .51124 .47282 .50582 Metetra .628 .707 .903 r .47282 .50582 .47753 .51124 .48587 .50941 .48119 .50397 Metetra .625 .706 .904 r .48119 .50397 .48587 .50941 .49425 .50763 .48958 .50218 Metetra .621 .705 .905 r .48958 .50218 .49425 .50763 .50266 .50591 .498 .50045 Metetra .618 .704 .907 r .498 .50045 .50266 .50591 .5111 .50426 .50646 .49879 Metetra .614 .703 .908 r .50646 .49879 .5111 .50426 .51957 .50268 .51495 .49719 Metetra .61 .701 .909 r .51495 .49719 .51957 .50268 .52808 .50116 .52347 .49567 Metetra .606 .7 .91 r .52347 .49567 .52808 .50116 .53662 .49973 .53202 .49422 Metetra .601 .698 .912 r .53202 .49422 .53662 .49973 .5452 .49837 .54062 .49285 Metetra .596 .697 .913 r .54062 .49285 .5452 .49837 .55381 .4971 .54924 .49158 Metetra .591 .695 .915 r .54924 .49158 .55381 .4971 .56246 .49591 .55791 .4904 Metetra .585 .693 .917 r .55791 .4904 .56246 .49591 .57115 .49483 .56661 .48931 Metetra .579 .692 .919 r .56661 .48931 .57115 .49483 .57988 .49384 .57535 .48833 Metetra .572 .69 .921 r .57535 .48833 .57988 .49384 .58864 .49297 .58414 .48747 Metetra .565 .688 .923 r .58414 .48747 .58864 .49297 .59745 .49221 .59296 .48672 Metetra .556 .685 .925 r .59296 .48672 .59745 .49221 .60631 .49157 .60183 .48611 Metetra .548 .683 .928 r .60183 .48611 .60631 .49157 .61521 .49107 .61075 .48562 Metetra .538 .68 .93 r .61075 .48562 .61521 .49107 .62415 .4907 .61971 .48529 Metetra .527 .677 .933 r .61971 .48529 .62415 .4907 .63315 .49047 .62873 .48511 Metetra .515 .674 .936 r .62873 .48511 .63315 .49047 .64219 .49041 .63779 .48509 Metetra .502 .671 .939 r .63779 .48509 .64219 .49041 .65129 .4905 .64691 .48525 Metetra .487 .667 .943 r .64691 .48525 .65129 .4905 .66044 .49077 .65608 .48559 Metetra .47 .663 .946 r .65608 .48559 .66044 .49077 .66965 .49122 .66531 .48613 Metetra .451 .658 .949 r .66531 .48613 .66965 .49122 .67892 .49186 .6746 .48687 Metetra .43 .652 .952 r .6746 .48687 .67892 .49186 .68825 .49271 .68395 .48783 Metetra .405 .646 .955 r .68395 .48783 .68825 .49271 .69765 .49376 .69338 .48903 Metetra .377 .638 .957 r .69338 .48903 .69765 .49376 .70711 .49502 .70287 .49046 Metetra .345 .629 .958 r .70287 .49046 .70711 .49502 .71664 .49651 .71243 .49213 Metetra .308 .618 .957 r .71243 .49213 .71664 .49651 .72625 .49822 .72207 .49406 Metetra .266 .605 .954 r .72207 .49406 .72625 .49822 .73593 .50016 .73179 .49625 Metetra .217 .588 .946 r .73179 .49625 .73593 .50016 .74569 .50232 .74159 .49869 Metetra .161 .567 .932 r .74159 .49869 .74569 .50232 .75552 .5047 .75147 .50139 Metetra .098 .541 .91 r .75147 .50139 .75552 .5047 .76544 .50728 .76144 .50433 Metetra .028 .509 .879 r .76144 .50433 .76544 .50728 .77545 .51005 .7715 .5075 Metetra 0 .471 .835 r .7715 .5075 .77545 .51005 .78553 .51299 .78165 .51087 Metetra 0 .428 .779 r .78165 .51087 .78553 .51299 .7957 .51605 .79188 .5144 Metetra 0 .38 .712 r .79188 .5144 .7957 .51605 .80594 .51919 .8022 .51805 Metetra .262 0 0 r .8022 .51805 .80594 .51919 .81626 .52236 .81261 .52175 Metetra .317 0 0 r .81261 .52175 .81626 .52236 .82667 .52561 .82309 .52543 Metetra .364 0 0 r .82309 .52543 .82667 .52561 .84437 .60231 .83365 .52918 Metetra .19 .123 .547 r .83365 .52918 .84437 .60231 .83311 .38859 .85046 .59429 Metetra .108 .017 .46 r .85046 .59429 .83311 .38859 .84258 .38512 .83872 .37965 Metetra .667 .746 .91 r .83872 .37965 .84258 .38512 .85212 .38211 .84828 .37653 Metetra .664 .741 .908 r .84828 .37653 .85212 .38211 .86169 .37909 .85788 .3735 Metetra .664 .741 .908 r .85788 .3735 .86169 .37909 .8713 .37607 .86751 .37045 Metetra .664 .741 .908 r .86751 .37045 .8713 .37607 .88095 .37303 .87718 .36739 Metetra .664 .741 .908 r .87718 .36739 .88095 .37303 .89062 .36998 .88688 .36433 Metetra .664 .741 .908 r .88688 .36433 .89062 .36998 .90033 .36692 .89661 .36125 Metetra .664 .741 .908 r .33806 .5317 .34304 .53633 .35097 .53382 .34601 .52917 Metetra .664 .741 .908 r .34601 .52917 .35097 .53382 .35893 .53131 .35398 .52664 Metetra .664 .741 .908 r .35398 .52664 .35893 .53131 .36691 .52878 .36198 .5241 Metetra .664 .741 .908 r .36198 .5241 .36691 .52878 .37492 .52625 .37 .52156 Metetra .664 .741 .908 r .37 .52156 .37492 .52625 .38295 .52371 .37804 .519 Metetra .664 .741 .908 r .37804 .519 .38295 .52371 .391 .52116 .38612 .51644 Metetra .663 .741 .908 r .38612 .51644 .391 .52116 .39908 .51861 .39421 .51387 Metetra .662 .741 .909 r .39421 .51387 .39908 .51861 .40719 .51605 .40234 .51132 Metetra .65 .739 .914 r .40234 .51132 .40719 .51605 .41532 .51354 .41048 .50901 Metetra .478 .686 .958 r .41048 .50901 .41532 .51354 .42346 .51171 .41856 .50919 Metetra 0 .466 .818 r .41856 .50919 .42346 .51171 .43155 .51253 .42661 .51177 Metetra .63 .927 .973 r .42661 .51177 .43155 .51253 .43968 .51344 .43488 .50835 Metetra .637 .723 .91 r .43488 .50835 .43968 .51344 .44791 .51174 .44314 .5063 Metetra .636 .709 .899 r .44314 .5063 .44791 .51174 .45619 .50967 .45143 .50428 Metetra .633 .711 .902 r .45143 .50428 .45619 .50967 .46449 .50772 .45975 .50231 Metetra .631 .709 .903 r .45975 .50231 .46449 .50772 .47282 .50582 .4681 .50039 Metetra .628 .708 .904 r .4681 .50039 .47282 .50582 .48119 .50397 .47647 .49853 Metetra .624 .707 .905 r .47647 .49853 .48119 .50397 .48958 .50218 .48488 .49672 Metetra .621 .706 .906 r .48488 .49672 .48958 .50218 .498 .50045 .49332 .49498 Metetra .617 .705 .907 r .49332 .49498 .498 .50045 .50646 .49879 .50179 .4933 Metetra .614 .703 .908 r .50179 .4933 .50646 .49879 .51495 .49719 .51029 .49169 Metetra .61 .702 .91 r .51029 .49169 .51495 .49719 .52347 .49567 .51883 .49016 Metetra .605 .701 .911 r .51883 .49016 .52347 .49567 .53202 .49422 .5274 .4887 Metetra .6 .699 .913 r .5274 .4887 .53202 .49422 .54062 .49285 .53601 .48733 Metetra .595 .697 .914 r .53601 .48733 .54062 .49285 .54924 .49158 .54465 .48605 Metetra .59 .696 .916 r .54465 .48605 .54924 .49158 .55791 .4904 .55333 .48487 Metetra .584 .694 .918 r .55333 .48487 .55791 .4904 .56661 .48931 .56205 .48378 Metetra .577 .692 .92 r .56205 .48378 .56661 .48931 .57535 .48833 .57081 .48281 Metetra .57 .69 .922 r .57081 .48281 .57535 .48833 .58414 .48747 .57961 .48195 Metetra .563 .688 .924 r .57961 .48195 .58414 .48747 .59296 .48672 .58845 .48122 Metetra .554 .685 .926 r .58845 .48122 .59296 .48672 .60183 .48611 .59734 .48062 Metetra .545 .682 .929 r .59734 .48062 .60183 .48611 .61075 .48562 .60627 .48017 Metetra .535 .68 .931 r .60627 .48017 .61075 .48562 .61971 .48529 .61525 .47986 Metetra .523 .676 .934 r .61525 .47986 .61971 .48529 .62873 .48511 .62428 .47972 Metetra .51 .673 .937 r .62428 .47972 .62873 .48511 .63779 .48509 .63336 .47976 Metetra .496 .669 .94 r .63336 .47976 .63779 .48509 .64691 .48525 .64249 .47998 Metetra .48 .665 .944 r .64249 .47998 .64691 .48525 .65608 .48559 .65169 .48039 Metetra .462 .66 .947 r .65169 .48039 .65608 .48559 .66531 .48613 .66094 .48102 Metetra .441 .654 .95 r .66094 .48102 .66531 .48613 .6746 .48687 .67025 .48187 Metetra .417 .647 .953 r .67025 .48187 .6746 .48687 .68395 .48783 .67963 .48296 Metetra .39 .64 .955 r .67963 .48296 .68395 .48783 .69338 .48903 .68908 .4843 Metetra .359 .63 .956 r .68908 .4843 .69338 .48903 .70287 .49046 .6986 .48591 Metetra .322 .619 .956 r .6986 .48591 .70287 .49046 .71243 .49213 .70819 .48779 Metetra .28 .605 .953 r .70819 .48779 .71243 .49213 .72207 .49406 .71787 .48995 Metetra .23 .587 .946 r .71787 .48995 .72207 .49406 .73179 .49625 .72763 .49241 Metetra .172 .565 .934 r .72763 .49241 .73179 .49625 .74159 .49869 .73747 .49516 Metetra .106 .537 .913 r .73747 .49516 .74159 .49869 .75147 .50139 .7474 .49822 Metetra .032 .501 .881 r .7474 .49822 .75147 .50139 .76144 .50433 .75743 .50156 Metetra 0 .458 .836 r .75743 .50156 .76144 .50433 .7715 .5075 .76755 .50518 Metetra 0 .408 .775 r .76755 .50518 .7715 .5075 .78165 .51087 .77776 .50905 Metetra 0 .351 .7 r .77776 .50905 .78165 .51087 .79188 .5144 .78807 .51313 Metetra .301 0 0 r .78807 .51313 .79188 .5144 .8022 .51805 .79847 .51736 Metetra .369 0 0 r .79847 .51736 .8022 .51805 .81261 .52175 .80897 .52169 Metetra .421 0 0 r .80897 .52169 .81261 .52175 .82309 .52543 .81954 .52601 Metetra .457 0 0 r .81954 .52601 .82309 .52543 .83365 .52918 .83019 .53023 Metetra .503 0 0 r .83019 .53023 .83365 .52918 .85046 .59429 .84096 .53483 Metetra .88 .607 .519 r .84096 .53483 .85046 .59429 .83872 .37965 .83726 .3977 Metetra 0 0 .204 r .83726 .3977 .83872 .37965 .84828 .37653 .84441 .37093 Metetra .664 .742 .908 r .84441 .37093 .84828 .37653 .85788 .3735 .85404 .36786 Metetra .664 .741 .908 r .85404 .36786 .85788 .3735 .86751 .37045 .86369 .3648 Metetra .664 .741 .908 r .86369 .3648 .86751 .37045 .87718 .36739 .87339 .36172 Metetra .664 .741 .908 r .87339 .36172 .87718 .36739 .88688 .36433 .88311 .35863 Metetra .664 .741 .908 r .88311 .35863 .88688 .36433 .89661 .36125 .89287 .35554 Metetra .664 .741 .908 r .33305 .52703 .33806 .5317 .34601 .52917 .34102 .52449 Metetra .664 .741 .908 r .34102 .52449 .34601 .52917 .35398 .52664 .349 .52195 Metetra .664 .741 .908 r .349 .52195 .35398 .52664 .36198 .5241 .35701 .51939 Metetra .664 .741 .908 r .35701 .51939 .36198 .5241 .37 .52156 .36505 .51683 Metetra .664 .741 .908 r .36505 .51683 .37 .52156 .37804 .519 .37311 .51426 Metetra .664 .741 .908 r .37311 .51426 .37804 .519 .38612 .51644 .3812 .51168 Metetra .663 .741 .908 r .3812 .51168 .38612 .51644 .39421 .51387 .38931 .50911 Metetra .658 .74 .91 r .38931 .50911 .39421 .51387 .40234 .51132 .39745 .50662 Metetra .58 .719 .938 r .39745 .50662 .40234 .51132 .41048 .50901 .40556 .50553 Metetra .369 .693 .982 r .40556 .50553 .41048 .50901 .41856 .50919 .41364 .50613 Metetra .536 .788 .99 r .41364 .50613 .41856 .50919 .42661 .51177 .42183 .50499 Metetra .634 .662 .86 r .42183 .50499 .42661 .51177 .43488 .50835 .43007 .50302 Metetra .639 .715 .902 r .43007 .50302 .43488 .50835 .44314 .5063 .43834 .50092 Metetra .636 .713 .902 r .43834 .50092 .44314 .5063 .45143 .50428 .44665 .49888 Metetra .633 .711 .903 r .44665 .49888 .45143 .50428 .45975 .50231 .45498 .49689 Metetra .631 .71 .904 r .45498 .49689 .45975 .50231 .4681 .50039 .46334 .49496 Metetra .628 .709 .905 r .46334 .49496 .4681 .50039 .47647 .49853 .47173 .49308 Metetra .624 .708 .906 r .47173 .49308 .47647 .49853 .48488 .49672 .48015 .49126 Metetra .621 .707 .907 r .48015 .49126 .48488 .49672 .49332 .49498 .48861 .4895 Metetra .617 .706 .908 r .48861 .4895 .49332 .49498 .50179 .4933 .49709 .48781 Metetra .613 .704 .909 r .49709 .48781 .50179 .4933 .51029 .49169 .50561 .48619 Metetra .609 .703 .911 r .50561 .48619 .51029 .49169 .51883 .49016 .51416 .48464 Metetra .605 .701 .912 r .51416 .48464 .51883 .49016 .5274 .4887 .52275 .48318 Metetra .6 .7 .913 r .52275 .48318 .5274 .4887 .53601 .48733 .53137 .4818 Metetra .595 .698 .915 r .53137 .4818 .53601 .48733 .54465 .48605 .54003 .48051 Metetra .589 .696 .917 r .54003 .48051 .54465 .48605 .55333 .48487 .54872 .47933 Metetra .583 .694 .919 r .54872 .47933 .55333 .48487 .56205 .48378 .55746 .47824 Metetra .576 .692 .92 r .55746 .47824 .56205 .48378 .57081 .48281 .56623 .47728 Metetra .569 .69 .923 r .56623 .47728 .57081 .48281 .57961 .48195 .57505 .47643 Metetra .561 .688 .925 r .57505 .47643 .57961 .48195 .58845 .48122 .58391 .47571 Metetra .552 .685 .927 r .58391 .47571 .58845 .48122 .59734 .48062 .59281 .47513 Metetra .542 .682 .93 r .59281 .47513 .59734 .48062 .60627 .48017 .60176 .4747 Metetra .531 .679 .932 r .60176 .4747 .60627 .48017 .61525 .47986 .61076 .47443 Metetra .519 .675 .935 r .61076 .47443 .61525 .47986 .62428 .47972 .6198 .47433 Metetra .506 .671 .938 r .6198 .47433 .62428 .47972 .63336 .47976 .6289 .47441 Metetra .49 .667 .941 r .6289 .47441 .63336 .47976 .64249 .47998 .63806 .47469 Metetra .473 .662 .944 r .63806 .47469 .64249 .47998 .65169 .48039 .64727 .47519 Metetra .453 .656 .948 r .64727 .47519 .65169 .48039 .66094 .48102 .65654 .47591 Metetra .431 .65 .95 r .65654 .47591 .66094 .48102 .67025 .48187 .66588 .47687 Metetra .405 .642 .953 r .66588 .47687 .67025 .48187 .67963 .48296 .67528 .47809 Metetra .374 .632 .955 r .67528 .47809 .67963 .48296 .68908 .4843 .68476 .47958 Metetra .339 .621 .955 r .68476 .47958 .68908 .4843 .6986 .48591 .69431 .48137 Metetra .297 .607 .953 r .69431 .48137 .6986 .48591 .70819 .48779 .70393 .48347 Metetra .249 .589 .947 r .70393 .48347 .70819 .48779 .71787 .48995 .71364 .48588 Metetra .191 .566 .937 r .71364 .48588 .71787 .48995 .72763 .49241 .72344 .48864 Metetra .124 .537 .918 r .72344 .48864 .72763 .49241 .73747 .49516 .73333 .49173 Metetra .046 .5 .888 r .73333 .49173 .73747 .49516 .7474 .49822 .74331 .49518 Metetra 0 .454 .844 r .74331 .49518 .7474 .49822 .75743 .50156 .75339 .49897 Metetra 0 .399 .782 r .75339 .49897 .75743 .50156 .76755 .50518 .76358 .5031 Metetra 0 .334 .702 r .76358 .5031 .76755 .50518 .77776 .50905 .77386 .50753 Metetra .323 0 0 r .77386 .50753 .77776 .50905 .78807 .51313 .78426 .51225 Metetra .403 0 0 r .78426 .51225 .78807 .51313 .79847 .51736 .79475 .51718 Metetra .467 0 0 r .79475 .51718 .79847 .51736 .80897 .52169 .80534 .52225 Metetra .512 0 0 r .80534 .52225 .80897 .52169 .81954 .52601 .81603 .52735 Metetra .54 0 0 r .81603 .52735 .81954 .52601 .83019 .53023 .82679 .53237 Metetra .552 0 0 r .82679 .53237 .83019 .53023 .84096 .53483 .83762 .53714 Metetra .577 .032 0 r .83762 .53714 .84096 .53483 .83726 .3977 .84859 .54246 Metetra .004 0 .419 r .84859 .54246 .83726 .3977 .84441 .37093 .84069 .36688 Metetra .729 .836 .931 r .84069 .36688 .84441 .37093 .85404 .36786 .85017 .3622 Metetra .664 .741 .908 r .85017 .3622 .85404 .36786 .86369 .3648 .85985 .35911 Metetra .664 .741 .908 r .85985 .35911 .86369 .3648 .87339 .36172 .86957 .35601 Metetra .664 .741 .908 r .86957 .35601 .87339 .36172 .88311 .35863 .87932 .3529 Metetra .664 .741 .908 r .87932 .3529 .88311 .35863 .89287 .35554 .8891 .34979 Metetra .664 .741 .908 r .32802 .52234 .33305 .52703 .34102 .52449 .33599 .51979 Metetra .664 .741 .908 r .33599 .51979 .34102 .52449 .349 .52195 .34399 .51723 Metetra .664 .741 .908 r .34399 .51723 .349 .52195 .35701 .51939 .35202 .51466 Metetra .664 .741 .908 r .35202 .51466 .35701 .51939 .36505 .51683 .36007 .51208 Metetra .664 .741 .908 r .36007 .51208 .36505 .51683 .37311 .51426 .36815 .5095 Metetra .663 .741 .908 r .36815 .5095 .37311 .51426 .3812 .51168 .37626 .50691 Metetra .662 .741 .909 r .37626 .50691 .3812 .51168 .38931 .50911 .38438 .50434 Metetra .647 .738 .916 r .38438 .50434 .38931 .50911 .39745 .50662 .39253 .50208 Metetra .462 .681 .96 r .39253 .50208 .39745 .50662 .40556 .50553 .40059 .5024 Metetra .411 .733 .991 r .40059 .5024 .40556 .50553 .41364 .50613 .40872 .50243 Metetra .659 .792 .946 r .40872 .50243 .41364 .50613 .42183 .50499 .41697 .4998 Metetra .642 .722 .906 r .41697 .4998 .42183 .50499 .43007 .50302 .42523 .49764 Metetra .639 .714 .902 r .42523 .49764 .43007 .50302 .43834 .50092 .43352 .49554 Metetra .636 .713 .903 r .43352 .49554 .43834 .50092 .44665 .49888 .44184 .49348 Metetra .633 .712 .904 r .44184 .49348 .44665 .49888 .45498 .49689 .45018 .49147 Metetra .631 .711 .905 r .45018 .49147 .45498 .49689 .46334 .49496 .45856 .48952 Metetra .627 .71 .906 r .45856 .48952 .46334 .49496 .47173 .49308 .46696 .48762 Metetra .624 .709 .907 r .46696 .48762 .47173 .49308 .48015 .49126 .4754 .48579 Metetra .621 .708 .908 r .4754 .48579 .48015 .49126 .48861 .4895 .48387 .48401 Metetra .617 .707 .909 r .48387 .48401 .48861 .4895 .49709 .48781 .49237 .48231 Metetra .613 .705 .91 r .49237 .48231 .49709 .48781 .50561 .48619 .5009 .48067 Metetra .609 .704 .911 r .5009 .48067 .50561 .48619 .51416 .48464 .50947 .47912 Metetra .604 .702 .913 r .50947 .47912 .51416 .48464 .52275 .48318 .51807 .47764 Metetra .599 .7 .914 r .51807 .47764 .52275 .48318 .53137 .4818 .52671 .47626 Metetra .594 .699 .916 r .52671 .47626 .53137 .4818 .54003 .48051 .53538 .47497 Metetra .588 .697 .918 r .53538 .47497 .54003 .48051 .54872 .47933 .54409 .47378 Metetra .582 .695 .919 r .54409 .47378 .54872 .47933 .55746 .47824 .55284 .47269 Metetra .575 .693 .921 r .55284 .47269 .55746 .47824 .56623 .47728 .56163 .47173 Metetra .567 .69 .924 r .56163 .47173 .56623 .47728 .57505 .47643 .57046 .47089 Metetra .559 .688 .926 r .57046 .47089 .57505 .47643 .58391 .47571 .57934 .47018 Metetra .55 .685 .928 r .57934 .47018 .58391 .47571 .59281 .47513 .58826 .46962 Metetra .539 .682 .931 r .58826 .46962 .59281 .47513 .60176 .4747 .59722 .46921 Metetra .528 .678 .933 r .59722 .46921 .60176 .4747 .61076 .47443 .60624 .46897 Metetra .515 .674 .936 r .60624 .46897 .61076 .47443 .6198 .47433 .6153 .46891 Metetra .501 .67 .939 r .6153 .46891 .6198 .47433 .6289 .47441 .62442 .46905 Metetra .484 .665 .942 r .62442 .46905 .6289 .47441 .63806 .47469 .63359 .46939 Metetra .466 .659 .945 r .63359 .46939 .63806 .47469 .64727 .47519 .64283 .46996 Metetra .444 .653 .948 r .64283 .46996 .64727 .47519 .65654 .47591 .65212 .47078 Metetra .42 .645 .951 r .65212 .47078 .65654 .47591 .66588 .47687 .66148 .47185 Metetra .391 .636 .953 r .66148 .47185 .66588 .47687 .67528 .47809 .67091 .47321 Metetra .357 .624 .954 r .67091 .47321 .67528 .47809 .68476 .47958 .68041 .47487 Metetra .318 .61 .953 r .68041 .47487 .68476 .47958 .69431 .48137 .68998 .47685 Metetra .271 .593 .949 r .68998 .47685 .69431 .48137 .70393 .48347 .69964 .47917 Metetra .215 .571 .94 r .69964 .47917 .70393 .48347 .71364 .48588 .70939 .48186 Metetra .149 .542 .924 r .70939 .48186 .71364 .48588 .72344 .48864 .71923 .48493 Metetra .071 .505 .898 r .71923 .48493 .72344 .48864 .73333 .49173 .72916 .48839 Metetra 0 .458 .857 r .72916 .48839 .73333 .49173 .74331 .49518 .7392 .49227 Metetra 0 .4 .797 r .7392 .49227 .74331 .49518 .75339 .49897 .74934 .49656 Metetra 0 .33 .717 r .74934 .49656 .75339 .49897 .76358 .5031 .75959 .50126 Metetra .327 0 0 r .75959 .50126 .76358 .5031 .77386 .50753 .76996 .50636 Metetra .42 0 0 r .76996 .50636 .77386 .50753 .78426 .51225 .78044 .51181 Metetra .496 0 0 r .78044 .51181 .78426 .51225 .79475 .51718 .79104 .51755 Metetra .551 0 0 r .79104 .51755 .79475 .51718 .80534 .52225 .80174 .52352 Metetra .587 .024 0 r .80174 .52352 .80534 .52225 .81603 .52735 .81255 .52957 Metetra .605 .064 0 r .81255 .52957 .81603 .52735 .82679 .53237 .82346 .53558 Metetra .609 .09 0 r .82346 .53558 .82679 .53237 .83762 .53714 .83443 .54134 Metetra .602 .104 .042 r .83443 .54134 .83762 .53714 .84859 .54246 .84545 .54662 Metetra .991 .772 .393 r .84545 .54662 .84859 .54246 .84069 .36688 .84953 .48415 Metetra .079 0 .437 r .84953 .48415 .84069 .36688 .85017 .3622 .84629 .35653 Metetra .665 .744 .909 r .84629 .35653 .85017 .3622 .85985 .35911 .85599 .35338 Metetra .664 .741 .908 r .85599 .35338 .85985 .35911 .86957 .35601 .86573 .35027 Metetra .664 .741 .908 r .86573 .35027 .86957 .35601 .87932 .3529 .8755 .34714 Metetra .664 .741 .908 r .8755 .34714 .87932 .3529 .8891 .34979 .88531 .344 Metetra .664 .741 .908 r .32295 .51762 .32802 .52234 .33599 .51979 .33094 .51505 Metetra .664 .741 .908 r .33094 .51505 .33599 .51979 .34399 .51723 .33896 .51248 Metetra .664 .741 .908 r .33896 .51248 .34399 .51723 .35202 .51466 .347 .50989 Metetra .664 .741 .908 r .347 .50989 .35202 .51466 .36007 .51208 .35507 .5073 Metetra .664 .741 .908 r .35507 .5073 .36007 .51208 .36815 .5095 .36316 .5047 Metetra .663 .741 .908 r .36316 .5047 .36815 .5095 .37626 .50691 .37128 .5021 Metetra .659 .74 .91 r .37128 .5021 .37626 .50691 .38438 .50434 .37942 .49959 Metetra .574 .717 .939 r .37942 .49959 .38438 .50434 .39253 .50208 .38753 .49856 Metetra .463 .736 .987 r .38753 .49856 .39253 .50208 .40059 .5024 .39563 .49834 Metetra .612 .763 .952 r .39563 .49834 .40059 .5024 .40872 .50243 .40384 .49655 Metetra .64 .696 .886 r .40384 .49655 .40872 .50243 .41697 .4998 .41208 .49443 Metetra .641 .716 .902 r .41208 .49443 .41697 .4998 .42523 .49764 .42036 .49227 Metetra .639 .716 .903 r .42036 .49227 .42523 .49764 .43352 .49554 .42866 .49014 Metetra .636 .714 .904 r .42866 .49014 .43352 .49554 .44184 .49348 .43699 .48807 Metetra .633 .713 .905 r .43699 .48807 .44184 .49348 .45018 .49147 .44536 .48605 Metetra .63 .712 .906 r .44536 .48605 .45018 .49147 .45856 .48952 .45375 .48408 Metetra .627 .711 .907 r .45375 .48408 .45856 .48952 .46696 .48762 .46217 .48216 Metetra .624 .71 .908 r .46217 .48216 .46696 .48762 .4754 .48579 .47062 .48031 Metetra .621 .709 .909 r .47062 .48031 .4754 .48579 .48387 .48401 .4791 .47852 Metetra .617 .708 .91 r .4791 .47852 .48387 .48401 .49237 .48231 .48762 .4768 Metetra .613 .706 .911 r .48762 .4768 .49237 .48231 .5009 .48067 .49617 .47516 Metetra .608 .705 .912 r .49617 .47516 .5009 .48067 .50947 .47912 .50475 .47359 Metetra .604 .703 .914 r .50475 .47359 .50947 .47912 .51807 .47764 .51337 .4721 Metetra .599 .701 .915 r .51337 .4721 .51807 .47764 .52671 .47626 .52202 .47071 Metetra .593 .699 .917 r .52202 .47071 .52671 .47626 .53538 .47497 .53071 .46941 Metetra .587 .697 .919 r .53071 .46941 .53538 .47497 .54409 .47378 .53943 .46822 Metetra .581 .695 .92 r .53943 .46822 .54409 .47378 .55284 .47269 .5482 .46714 Metetra .573 .693 .922 r .5482 .46714 .55284 .47269 .56163 .47173 .55701 .46617 Metetra .566 .69 .925 r .55701 .46617 .56163 .47173 .57046 .47089 .56585 .46534 Metetra .557 .688 .927 r .56585 .46534 .57046 .47089 .57934 .47018 .57474 .46464 Metetra .547 .685 .929 r .57474 .46464 .57934 .47018 .58826 .46962 .58368 .4641 Metetra .537 .681 .932 r .58368 .4641 .58826 .46962 .59722 .46921 .59266 .46371 Metetra .525 .677 .934 r .59266 .46371 .59722 .46921 .60624 .46897 .60169 .46351 Metetra .511 .673 .937 r .60169 .46351 .60624 .46897 .6153 .46891 .61077 .46349 Metetra .496 .668 .94 r .61077 .46349 .6153 .46891 .62442 .46905 .61991 .46367 Metetra .478 .663 .943 r .61991 .46367 .62442 .46905 .63359 .46939 .6291 .46408 Metetra .458 .656 .946 r .6291 .46408 .63359 .46939 .64283 .46996 .63835 .46473 Metetra .435 .649 .949 r .63835 .46473 .64283 .46996 .65212 .47078 .64767 .46564 Metetra .409 .64 .951 r .64767 .46564 .65212 .47078 .66148 .47185 .65705 .46683 Metetra .377 .629 .952 r .65705 .46683 .66148 .47185 .67091 .47321 .6665 .46832 Metetra .34 .616 .952 r .6665 .46832 .67091 .47321 .68041 .47487 .67603 .47015 Metetra .296 .599 .949 r .67603 .47015 .68041 .47487 .68998 .47685 .68564 .47233 Metetra .243 .578 .943 r .68564 .47233 .68998 .47685 .69964 .47917 .69533 .47489 Metetra .18 .551 .93 r .69533 .47489 .69964 .47917 .70939 .48186 .70511 .47787 Metetra .104 .515 .908 r .70511 .47787 .70939 .48186 .71923 .48493 .71499 .48128 Metetra .015 .469 .873 r .71499 .48128 .71923 .48493 .72916 .48839 .72497 .48514 Metetra 0 .411 .819 r .72497 .48514 .72916 .48839 .7392 .49227 .73506 .4895 Metetra 0 .339 .743 r .73506 .4895 .7392 .49227 .74934 .49656 .74527 .49434 Metetra 0 .256 .643 r .74527 .49434 .74934 .49656 .75959 .50126 .75559 .49969 Metetra .418 0 0 r .75559 .49969 .75959 .50126 .76996 .50636 .76604 .50554 Metetra .508 0 0 r .76604 .50554 .76996 .50636 .78044 .51181 .77663 .51184 Metetra .575 0 0 r .77663 .51184 .78044 .51181 .79104 .51755 .78734 .51856 Metetra .62 .062 0 r .78734 .51856 .79104 .51755 .80174 .52352 .79817 .52559 Metetra .645 .111 0 r .79817 .52559 .80174 .52352 .81255 .52957 .80913 .53282 Metetra .655 .146 .023 r .80913 .53282 .81255 .52957 .82346 .53558 .82019 .54006 Metetra .652 .168 .088 r .82019 .54006 .82346 .53558 .83443 .54134 .83134 .54708 Metetra .64 .178 .139 r .83134 .54708 .83443 .54134 .84545 .54662 .84254 .5536 Metetra .628 .186 .18 r .84254 .5536 .84545 .54662 .84953 .48415 .85379 .55964 Metetra 0 0 .074 r .85379 .55964 .84953 .48415 .84629 .35653 .84319 .35849 Metetra .739 .947 .633 r .84319 .35849 .84629 .35653 .85599 .35338 .8521 .34762 Metetra .664 .741 .908 r .8521 .34762 .85599 .35338 .86573 .35027 .86186 .34448 Metetra .664 .741 .908 r .86186 .34448 .86573 .35027 .8755 .34714 .87166 .34134 Metetra .664 .741 .908 r .87166 .34134 .8755 .34714 .88531 .344 .8815 .33818 Metetra .664 .741 .908 r .31785 .51288 .32295 .51762 .33094 .51505 .32586 .51029 Metetra .664 .741 .908 r .32586 .51029 .33094 .51505 .33896 .51248 .33389 .5077 Metetra .664 .741 .908 r .33389 .5077 .33896 .51248 .347 .50989 .34195 .5051 Metetra .664 .741 .908 r .34195 .5051 .347 .50989 .35507 .5073 .35003 .50249 Metetra .663 .741 .908 r .35003 .50249 .35507 .5073 .36316 .5047 .35814 .49988 Metetra .662 .741 .908 r .35814 .49988 .36316 .5047 .37128 .5021 .36628 .49728 Metetra .651 .739 .914 r .36628 .49728 .37128 .5021 .37942 .49959 .37443 .49491 Metetra .522 .702 .952 r .37443 .49491 .37942 .49959 .38753 .49856 .38251 .49456 Metetra .53 .738 .971 r .38251 .49456 .38753 .49856 .39563 .49834 .39065 .49385 Metetra .656 .756 .924 r .39065 .49385 .39563 .49834 .40384 .49655 .3989 .49132 Metetra .644 .723 .906 r .3989 .49132 .40384 .49655 .41208 .49443 .40717 .48908 Metetra .641 .717 .903 r .40717 .48908 .41208 .49443 .42036 .49227 .41546 .48689 Metetra .639 .716 .904 r .41546 .48689 .42036 .49227 .42866 .49014 .42378 .48475 Metetra .636 .716 .905 r .42378 .48475 .42866 .49014 .43699 .48807 .43213 .48266 Metetra .633 .715 .906 r .43213 .48266 .43699 .48807 .44536 .48605 .4405 .48062 Metetra .63 .713 .906 r .4405 .48062 .44536 .48605 .45375 .48408 .44891 .47863 Metetra .627 .712 .907 r .44891 .47863 .45375 .48408 .46217 .48216 .45735 .4767 Metetra .624 .711 .909 r .45735 .4767 .46217 .48216 .47062 .48031 .46581 .47483 Metetra .62 .71 .91 r .46581 .47483 .47062 .48031 .4791 .47852 .47431 .47303 Metetra .617 .709 .911 r .47431 .47303 .4791 .47852 .48762 .4768 .48284 .47129 Metetra .612 .707 .912 r .48284 .47129 .48762 .4768 .49617 .47516 .49141 .46963 Metetra .608 .706 .913 r .49141 .46963 .49617 .47516 .50475 .47359 .5 .46805 Metetra .603 .704 .915 r .5 .46805 .50475 .47359 .51337 .4721 .50864 .46656 Metetra .598 .702 .916 r .50864 .46656 .51337 .4721 .52202 .47071 .5173 .46516 Metetra .592 .7 .918 r .5173 .46516 .52202 .47071 .53071 .46941 .52601 .46385 Metetra .586 .698 .92 r .52601 .46385 .53071 .46941 .53943 .46822 .53475 .46265 Metetra .579 .696 .921 r .53475 .46265 .53943 .46822 .5482 .46714 .54353 .46157 Metetra .572 .693 .923 r .54353 .46157 .5482 .46714 .55701 .46617 .55235 .46061 Metetra .564 .691 .926 r .55235 .46061 .55701 .46617 .56585 .46534 .56121 .45978 Metetra .555 .688 .928 r .56121 .45978 .56585 .46534 .57474 .46464 .57012 .45909 Metetra .545 .685 .93 r .57012 .45909 .57474 .46464 .58368 .4641 .57907 .45856 Metetra .534 .681 .933 r .57907 .45856 .58368 .4641 .59266 .46371 .58807 .4582 Metetra .521 .677 .935 r .58807 .4582 .59266 .46371 .60169 .46351 .59712 .45802 Metetra .507 .672 .938 r .59712 .45802 .60169 .46351 .61077 .46349 .60622 .45804 Metetra .491 .667 .941 r .60622 .45804 .61077 .46349 .61991 .46367 .61537 .45828 Metetra .472 .661 .944 r .61537 .45828 .61991 .46367 .6291 .46408 .62458 .45875 Metetra .451 .653 .946 r .62458 .45875 .6291 .46408 .63835 .46473 .63385 .45947 Metetra .426 .645 .949 r .63385 .45947 .63835 .46473 .64767 .46564 .64319 .46048 Metetra .397 .635 .951 r .64319 .46048 .64767 .46564 .65705 .46683 .65259 .46178 Metetra .363 .622 .951 r .65259 .46178 .65705 .46683 .6665 .46832 .66207 .46342 Metetra .322 .607 .95 r .66207 .46342 .6665 .46832 .67603 .47015 .67162 .46542 Metetra .273 .587 .946 r .67162 .46542 .67603 .47015 .68564 .47233 .68126 .46781 Metetra .214 .561 .936 r .68126 .46781 .68564 .47233 .69533 .47489 .69098 .47062 Metetra .143 .528 .919 r .69098 .47062 .69533 .47489 .70511 .47787 .7008 .4739 Metetra .058 .485 .89 r .7008 .4739 .70511 .47787 .71499 .48128 .71072 .47767 Metetra 0 .429 .844 r .71072 .47767 .71499 .48128 .72497 .48514 .72075 .48197 Metetra 0 .359 .775 r .72075 .48197 .72497 .48514 .73506 .4895 .7309 .48684 Metetra 0 .274 .681 r .7309 .48684 .73506 .4895 .74527 .49434 .74117 .4923 Metetra .396 0 0 r .74117 .4923 .74527 .49434 .75559 .49969 .75158 .49838 Metetra .501 0 0 r .75158 .49838 .75559 .49969 .76604 .50554 .76212 .50508 Metetra .583 .007 0 r .76212 .50508 .76604 .50554 .77663 .51184 .77281 .51238 Metetra .64 .083 0 r .77281 .51238 .77663 .51184 .78734 .51856 .78365 .52024 Metetra .674 .143 0 r .78365 .52024 .78734 .51856 .79817 .52559 .79464 .52858 Metetra .691 .186 .037 r .79464 .52858 .79817 .52559 .80913 .53282 .80577 .53725 Metetra .693 .215 .112 r .80577 .53725 .80913 .53282 .82019 .54006 .81702 .54605 Metetra .685 .232 .171 r .81702 .54605 .82019 .54006 .83134 .54708 .82837 .55469 Metetra .669 .238 .216 r .82837 .55469 .83134 .54708 .84254 .5536 .83979 .56282 Metetra .445 .046 .188 r .83979 .56282 .84254 .5536 .85379 .55964 .8504 .56183 Metetra .8504 .56183 .85379 .55964 .84319 .35849 .86086 .55888 Metetra .077 0 .447 r .86086 .55888 .84319 .35849 .8521 .34762 .84819 .34188 Metetra .666 .745 .909 r .84819 .34188 .8521 .34762 .86186 .34448 .85797 .33866 Metetra .664 .741 .908 r .85797 .33866 .86186 .34448 .87166 .34134 .8678 .33549 Metetra .664 .741 .908 r .8678 .33549 .87166 .34134 .8815 .33818 .87765 .33231 Metetra .664 .741 .908 r .31272 .5081 .31785 .51288 .32586 .51029 .32074 .5055 Metetra .664 .741 .908 r .32074 .5055 .32586 .51029 .33389 .5077 .32879 .5029 Metetra .664 .741 .908 r .32879 .5029 .33389 .5077 .34195 .5051 .33687 .50028 Metetra .664 .741 .908 r .33687 .50028 .34195 .5051 .35003 .50249 .34497 .49766 Metetra .663 .741 .908 r .34497 .49766 .35003 .50249 .35814 .49988 .35309 .49503 Metetra .661 .741 .909 r .35309 .49503 .35814 .49988 .36628 .49728 .36124 .49245 Metetra .621 .731 .925 r .36124 .49245 .36628 .49728 .37443 .49491 .36938 .49064 Metetra .525 .724 .965 r .36938 .49064 .37443 .49491 .38251 .49456 .37749 .49008 Metetra .623 .748 .936 r .37749 .49008 .38251 .49456 .39065 .49385 .3857 .48816 Metetra .642 .705 .892 r .3857 .48816 .39065 .49385 .3989 .49132 .39394 .48596 Metetra .644 .718 .902 r .39394 .48596 .3989 .49132 .40717 .48908 .40222 .48372 Metetra .641 .719 .904 r .40222 .48372 .40717 .48908 .41546 .48689 .41053 .48151 Metetra .639 .718 .905 r .41053 .48151 .41546 .48689 .42378 .48475 .41887 .47935 Metetra .636 .717 .906 r .41887 .47935 .42378 .48475 .43213 .48266 .42723 .47724 Metetra .633 .716 .906 r .42723 .47724 .43213 .48266 .4405 .48062 .43562 .47518 Metetra .63 .715 .907 r .43562 .47518 .4405 .48062 .44891 .47863 .44404 .47318 Metetra .627 .713 .908 r .44404 .47318 .44891 .47863 .45735 .4767 .45249 .47123 Metetra .624 .712 .909 r .45249 .47123 .45735 .4767 .46581 .47483 .46098 .46935 Metetra .62 .711 .911 r .46098 .46935 .46581 .47483 .47431 .47303 .46949 .46753 Metetra .616 .71 .912 r .46949 .46753 .47431 .47303 .48284 .47129 .47804 .46578 Metetra .612 .708 .913 r .47804 .46578 .48284 .47129 .49141 .46963 .48662 .46411 Metetra .608 .707 .914 r .48662 .46411 .49141 .46963 .5 .46805 .49523 .46252 Metetra .603 .705 .916 r .49523 .46252 .5 .46805 .50864 .46656 .50388 .46101 Metetra .597 .703 .917 r .50388 .46101 .50864 .46656 .5173 .46516 .51256 .4596 Metetra .592 .701 .919 r .51256 .4596 .5173 .46516 .52601 .46385 .52128 .45829 Metetra .585 .699 .921 r .52128 .45829 .52601 .46385 .53475 .46265 .53004 .45708 Metetra .578 .697 .923 r .53004 .45708 .53475 .46265 .54353 .46157 .53883 .456 Metetra .571 .694 .925 r .53883 .456 .54353 .46157 .55235 .46061 .54767 .45503 Metetra .562 .691 .927 r .54767 .45503 .55235 .46061 .56121 .45978 .55655 .45421 Metetra .553 .688 .929 r .55655 .45421 .56121 .45978 .57012 .45909 .56547 .45353 Metetra .543 .685 .931 r .56547 .45353 .57012 .45909 .57907 .45856 .57444 .45302 Metetra .531 .681 .934 r .57444 .45302 .57907 .45856 .58807 .4582 .58345 .45268 Metetra .518 .676 .936 r .58345 .45268 .58807 .4582 .59712 .45802 .59252 .45253 Metetra .503 .671 .939 r .59252 .45253 .59712 .45802 .60622 .45804 .60163 .45258 Metetra .486 .665 .942 r .60163 .45258 .60622 .45804 .61537 .45828 .61081 .45287 Metetra .466 .658 .944 r .61081 .45287 .61537 .45828 .62458 .45875 .62004 .4534 Metetra .444 .65 .947 r .62004 .4534 .62458 .45875 .63385 .45947 .62933 .4542 Metetra .417 .641 .949 r .62933 .4542 .63385 .45947 .64319 .46048 .63868 .45529 Metetra .386 .629 .95 r .63868 .45529 .64319 .46048 .65259 .46178 .64811 .45672 Metetra .349 .615 .95 r .64811 .45672 .65259 .46178 .66207 .46342 .65761 .4585 Metetra .304 .597 .947 r .65761 .4585 .66207 .46342 .67162 .46542 .66719 .46067 Metetra .25 .574 .941 r .66719 .46067 .67162 .46542 .68126 .46781 .67685 .46327 Metetra .185 .544 .928 r .67685 .46327 .68126 .46781 .69098 .47062 .68661 .46635 Metetra .105 .504 .905 r .68661 .46635 .69098 .47062 .7008 .4739 .69646 .46994 Metetra .01 .453 .868 r .69646 .46994 .7008 .4739 .71072 .47767 .70642 .47409 Metetra 0 .386 .811 r .70642 .47409 .71072 .47767 .72075 .48197 .7165 .47886 Metetra 0 .304 .727 r .7165 .47886 .72075 .48197 .7309 .48684 .72671 .48429 Metetra 0 .207 .616 r .72671 .48429 .7309 .48684 .74117 .4923 .73705 .49043 Metetra .473 0 0 r .73705 .49043 .74117 .4923 .75158 .49838 .74754 .49732 Metetra .572 0 0 r .74754 .49732 .75158 .49838 .76212 .50508 .75819 .50499 Metetra .645 .086 0 r .75819 .50499 .76212 .50508 .77281 .51238 .769 .51344 Metetra .692 .158 0 r .769 .51344 .77281 .51238 .78365 .52024 .77998 .52266 Metetra .717 .211 .029 r .77998 .52266 .78365 .52024 .79464 .52858 .79114 .53257 Metetra .726 .249 .115 r .79114 .53257 .79464 .52858 .80577 .53725 .80247 .54303 Metetra .723 .273 .183 r .80247 .54303 .80577 .53725 .81702 .54605 .81395 .55381 Metetra .674 .246 .223 r .81395 .55381 .81702 .54605 .82837 .55469 .82535 .56229 Metetra .331 0 .085 r .82535 .56229 .82837 .55469 .83979 .56282 .83576 .55933 Metetra .616 .842 .986 r .83576 .55933 .83979 .56282 .8504 .56183 .8462 .55637 Metetra .645 .763 .934 r .8462 .55637 .8504 .56183 .86086 .55888 .85668 .55339 Metetra .981 .692 .373 r .85668 .55339 .86086 .55888 .84819 .34188 .84501 .34316 Metetra .773 .975 .7 r .84501 .34316 .84819 .34188 .85797 .33866 .85405 .3328 Metetra .664 .741 .908 r .85405 .3328 .85797 .33866 .8678 .33549 .8639 .32962 Metetra .664 .741 .908 r .8639 .32962 .8678 .33549 .87765 .33231 .87379 .32641 Metetra .664 .741 .908 r .30756 .5033 .31272 .5081 .32074 .5055 .3156 .50068 Metetra .664 .741 .908 r .3156 .50068 .32074 .5055 .32879 .5029 .32367 .49806 Metetra .664 .741 .908 r .32367 .49806 .32879 .5029 .33687 .50028 .33176 .49543 Metetra .664 .741 .908 r .33176 .49543 .33687 .50028 .34497 .49766 .33987 .49279 Metetra .663 .741 .908 r .33987 .49279 .34497 .49766 .35309 .49503 .34801 .49016 Metetra .658 .74 .91 r .34801 .49016 .35309 .49503 .36124 .49245 .35617 .48762 Metetra .586 .721 .936 r .35617 .48762 .36124 .49245 .36938 .49064 .3643 .48638 Metetra .541 .732 .963 r .3643 .48638 .36938 .49064 .37749 .49008 .37243 .4856 Metetra .661 .76 .923 r .37243 .4856 .37749 .49008 .3857 .48816 .38069 .48296 Metetra .647 .726 .906 r .38069 .48296 .3857 .48816 .39394 .48596 .38896 .48062 Metetra .644 .721 .904 r .38896 .48062 .39394 .48596 .40222 .48372 .39725 .47836 Metetra .641 .72 .905 r .39725 .47836 .40222 .48372 .41053 .48151 .40557 .47613 Metetra .639 .719 .906 r .40557 .47613 .41053 .48151 .41887 .47935 .41392 .47396 Metetra .636 .718 .906 r .41392 .47396 .41887 .47935 .42723 .47724 .4223 .47183 Metetra .633 .717 .907 r .4223 .47183 .42723 .47724 .43562 .47518 .43071 .46975 Metetra .63 .716 .908 r .43071 .46975 .43562 .47518 .44404 .47318 .43915 .46773 Metetra .627 .715 .909 r .43915 .46773 .44404 .47318 .45249 .47123 .44761 .46576 Metetra .624 .713 .91 r .44761 .46576 .45249 .47123 .46098 .46935 .45611 .46386 Metetra .62 .712 .912 r .45611 .46386 .46098 .46935 .46949 .46753 .46464 .46203 Metetra .616 .711 .913 r .46464 .46203 .46949 .46753 .47804 .46578 .4732 .46027 Metetra .612 .709 .914 r .4732 .46027 .47804 .46578 .48662 .46411 .4818 .45858 Metetra .607 .708 .915 r .4818 .45858 .48662 .46411 .49523 .46252 .49042 .45697 Metetra .602 .706 .917 r .49042 .45697 .49523 .46252 .50388 .46101 .49909 .45546 Metetra .597 .704 .918 r .49909 .45546 .50388 .46101 .51256 .4596 .50779 .45404 Metetra .591 .702 .92 r .50779 .45404 .51256 .4596 .52128 .45829 .51652 .45272 Metetra .584 .7 .922 r .51652 .45272 .52128 .45829 .53004 .45708 .52529 .45151 Metetra .577 .697 .924 r .52529 .45151 .53004 .45708 .53883 .456 .53411 .45042 Metetra .57 .695 .926 r .53411 .45042 .53883 .456 .54767 .45503 .54296 .44945 Metetra .561 .692 .928 r .54296 .44945 .54767 .45503 .55655 .45421 .55185 .44863 Metetra .551 .688 .93 r .55185 .44863 .55655 .45421 .56547 .45353 .56079 .44796 Metetra .541 .685 .932 r .56079 .44796 .56547 .45353 .57444 .45302 .56978 .44746 Metetra .528 .68 .935 r .56978 .44746 .57444 .45302 .58345 .45268 .57881 .44714 Metetra .515 .676 .937 r .57881 .44714 .58345 .45268 .59252 .45253 .58789 .44701 Metetra .499 .67 .94 r .58789 .44701 .59252 .45253 .60163 .45258 .59702 .44711 Metetra .481 .664 .943 r .59702 .44711 .60163 .45258 .61081 .45287 .60621 .44743 Metetra .461 .656 .945 r .60621 .44743 .61081 .45287 .62004 .4534 .61546 .44802 Metetra .437 .647 .947 r .61546 .44802 .62004 .4534 .62933 .4542 .62477 .4489 Metetra .408 .637 .949 r .62477 .4489 .62933 .4542 .63868 .45529 .63415 .45009 Metetra .375 .624 .949 r .63415 .45009 .63868 .45529 .64811 .45672 .64359 .45163 Metetra .335 .607 .948 r .64359 .45163 .64811 .45672 .65761 .4585 .65311 .45355 Metetra .286 .586 .944 r .65311 .45355 .65761 .4585 .66719 .46067 .66272 .4559 Metetra .227 .56 .935 r .66272 .4559 .66719 .46067 .67685 .46327 .67241 .45871 Metetra .155 .525 .919 r .67241 .45871 .67685 .46327 .68661 .46635 .6822 .46205 Metetra .067 .479 .891 r .6822 .46205 .68661 .46635 .69646 .46994 .69209 .46597 Metetra 0 .419 .845 r .69209 .46597 .69646 .46994 .70642 .47409 .7021 .47053 Metetra 0 .342 .776 r .7021 .47053 .70642 .47409 .7165 .47886 .71223 .47578 Metetra 0 .247 .677 r .71223 .47578 .7165 .47886 .72671 .48429 .72249 .48181 Metetra .423 0 0 r .72249 .48181 .72671 .48429 .73705 .49043 .73291 .48869 Metetra .54 0 0 r .73291 .48869 .73705 .49043 .74754 .49732 .74349 .49648 Metetra .632 .07 0 r .74349 .49648 .74754 .49732 .75819 .50499 .75424 .50525 Metetra .696 .156 0 r .75424 .50525 .75819 .50499 .769 .51344 .76518 .51503 Metetra .733 .222 0 r .76518 .51503 .769 .51344 .77998 .52266 .77633 .52585 Metetra .751 .27 .098 r .77633 .52585 .77998 .52266 .79114 .53257 .78769 .53766 Metetra .754 .302 .178 r .78769 .53766 .79114 .53257 .80247 .54303 .79925 .55035 Metetra .692 .259 .217 r .79925 .55035 .80247 .54303 .81395 .55381 .81067 .55979 Metetra .265 0 0 r .81067 .55979 .81395 .55381 .82535 .56229 .82107 .55682 Metetra .645 .763 .934 r .82107 .55682 .82535 .56229 .83576 .55933 .8315 .55385 Metetra .645 .763 .934 r .8315 .55385 .83576 .55933 .8462 .55637 .84197 .55086 Metetra .645 .763 .934 r .84197 .55086 .8462 .55637 .85668 .55339 .85248 .54786 Metetra .645 .763 .934 r .85248 .54786 .85668 .55339 .84501 .34316 .86303 .54485 Metetra .074 0 .445 r .86303 .54485 .84501 .34316 .85405 .3328 .85011 .32691 Metetra .664 .742 .908 r .85011 .32691 .85405 .3328 .8639 .32962 .85999 .3237 Metetra .664 .741 .908 r .85999 .3237 .8639 .32962 .87379 .32641 .8699 .32048 Metetra .664 .741 .908 r .30237 .49847 .30756 .5033 .3156 .50068 .31043 .49584 Metetra .664 .741 .908 r .31043 .49584 .3156 .50068 .32367 .49806 .31851 .4932 Metetra .664 .741 .908 r .31851 .4932 .32367 .49806 .33176 .49543 .32661 .49055 Metetra .663 .741 .908 r .32661 .49055 .33176 .49543 .33987 .49279 .33474 .4879 Metetra .663 .741 .908 r .33474 .4879 .33987 .49279 .34801 .49016 .3429 .48526 Metetra .651 .739 .913 r .3429 .48526 .34801 .49016 .35617 .48762 .35107 .48285 Metetra .587 .725 .939 r .35107 .48285 .35617 .48762 .3643 .48638 .35921 .48156 Metetra .613 .732 .93 r .35921 .48156 .3643 .48638 .37243 .4856 .3674 .47984 Metetra .643 .705 .891 r .3674 .47984 .37243 .4856 .38069 .48296 .37566 .4776 Metetra .646 .721 .903 r .37566 .4776 .38069 .48296 .38896 .48062 .38394 .47528 Metetra .644 .722 .905 r .38394 .47528 .38896 .48062 .39725 .47836 .39225 .47299 Metetra .641 .721 .906 r .39225 .47299 .39725 .47836 .40557 .47613 .40058 .47075 Metetra .639 .72 .907 r .40058 .47075 .40557 .47613 .41392 .47396 .40895 .46856 Metetra .636 .719 .907 r .40895 .46856 .41392 .47396 .4223 .47183 .41734 .46641 Metetra .633 .718 .908 r .41734 .46641 .4223 .47183 .43071 .46975 .42577 .46432 Metetra .63 .717 .909 r .42577 .46432 .43071 .46975 .43915 .46773 .43422 .46228 Metetra .627 .716 .91 r .43422 .46228 .43915 .46773 .44761 .46576 .4427 .4603 Metetra .624 .715 .911 r .4427 .4603 .44761 .46576 .45611 .46386 .45122 .45838 Metetra .62 .713 .913 r .45122 .45838 .45611 .46386 .46464 .46203 .45976 .45653 Metetra .616 .712 .914 r .45976 .45653 .46464 .46203 .4732 .46027 .46834 .45475 Metetra .612 .71 .915 r .46834 .45475 .4732 .46027 .4818 .45858 .47695 .45305 Metetra .607 .709 .917 r .47695 .45305 .4818 .45858 .49042 .45697 .48559 .45143 Metetra .602 .707 .918 r .48559 .45143 .49042 .45697 .49909 .45546 .49427 .4499 Metetra .596 .705 .92 r .49427 .4499 .49909 .45546 .50779 .45404 .50298 .44847 Metetra .59 .703 .921 r .50298 .44847 .50779 .45404 .51652 .45272 .51173 .44714 Metetra .584 .701 .923 r .51173 .44714 .51652 .45272 .52529 .45151 .52052 .44592 Metetra .576 .698 .925 r .52052 .44592 .52529 .45151 .53411 .45042 .52935 .44483 Metetra .568 .695 .927 r .52935 .44483 .53411 .45042 .54296 .44945 .53822 .44387 Metetra .559 .692 .929 r .53822 .44387 .54296 .44945 .55185 .44863 .54713 .44305 Metetra .55 .689 .931 r .54713 .44305 .55185 .44863 .56079 .44796 .55609 .44239 Metetra .538 .685 .933 r .55609 .44239 .56079 .44796 .56978 .44746 .56509 .44189 Metetra .526 .68 .936 r .56509 .44189 .56978 .44746 .57881 .44714 .57413 .44159 Metetra .512 .675 .938 r .57413 .44159 .57881 .44714 .58789 .44701 .58323 .44149 Metetra .495 .669 .941 r .58323 .44149 .58789 .44701 .59702 .44711 .59238 .44161 Metetra .477 .662 .943 r .59238 .44161 .59702 .44711 .60621 .44743 .60159 .44198 Metetra .455 .654 .946 r .60159 .44198 .60621 .44743 .61546 .44802 .61086 .44263 Metetra .43 .644 .947 r .61086 .44263 .61546 .44802 .62477 .4489 .62018 .44357 Metetra .4 .632 .949 r .62018 .44357 .62477 .4489 .63415 .45009 .62958 .44485 Metetra .364 .618 .949 r .62958 .44485 .63415 .45009 .64359 .45163 .63905 .4465 Metetra .321 .599 .946 r .63905 .4465 .64359 .45163 .65311 .45355 .64859 .44857 Metetra .268 .576 .941 r .64859 .44857 .65311 .45355 .66272 .4559 .65822 .45109 Metetra .205 .545 .929 r .65822 .45109 .66272 .4559 .67241 .45871 .66794 .45412 Metetra .126 .505 .909 r .66794 .45412 .67241 .45871 .6822 .46205 .67776 .45773 Metetra .031 .453 .875 r .67776 .45773 .6822 .46205 .69209 .46597 .68769 .46198 Metetra 0 .384 .82 r .68769 .46198 .69209 .46597 .7021 .47053 .69774 .46694 Metetra 0 .297 .739 r .69774 .46694 .7021 .47053 .71223 .47578 .70792 .47271 Metetra 0 .193 .628 r .70792 .47271 .71223 .47578 .72249 .48181 .71824 .47938 Metetra .484 0 0 r .71824 .47938 .72249 .48181 .73291 .48869 .72873 .48705 Metetra .598 .034 0 r .72873 .48705 .73291 .48869 .74349 .49648 .7394 .49583 Metetra .682 .134 0 r .7394 .49583 .74349 .49648 .75424 .50525 .75027 .50582 Metetra .736 .215 0 r .75027 .50582 .75424 .50525 .76518 .51503 .76136 .51712 Metetra .766 .276 .061 r .76136 .51712 .76518 .51503 .77633 .52585 .77269 .52981 Metetra .778 .319 .154 r .77269 .52981 .77633 .52585 .78769 .53766 .78427 .54391 Metetra .754 .318 .215 r .78427 .54391 .78769 .53766 .79925 .55035 .79595 .55728 Metetra .3 0 .034 r .79595 .55728 .79925 .55035 .81067 .55979 .80633 .55431 Metetra .645 .763 .934 r .80633 .55431 .81067 .55979 .82107 .55682 .81675 .55132 Metetra .645 .763 .934 r .81675 .55132 .82107 .55682 .8315 .55385 .82721 .54832 Metetra .645 .763 .934 r .82721 .54832 .8315 .55385 .84197 .55086 .83771 .54532 Metetra .645 .763 .934 r .83771 .54532 .84197 .55086 .85248 .54786 .84825 .5423 Metetra .645 .763 .934 r .84825 .5423 .85248 .54786 .86303 .54485 .85883 .53927 Metetra .981 .691 .367 r .85883 .53927 .86303 .54485 .85011 .32691 .84623 .32173 Metetra .694 .784 .92 r .84623 .32173 .85011 .32691 .85999 .3237 .85604 .31774 Metetra .664 .741 .908 r .85604 .31774 .85999 .3237 .8699 .32048 .86598 .3145 Metetra .664 .741 .908 r .29716 .49361 .30237 .49847 .31043 .49584 .30522 .49096 Metetra .664 .741 .908 r .30522 .49096 .31043 .49584 .31851 .4932 .31332 .48831 Metetra .664 .741 .908 r .31332 .48831 .31851 .4932 .32661 .49055 .32144 .48565 Metetra .663 .741 .908 r .32144 .48565 .32661 .49055 .33474 .4879 .32959 .48298 Metetra .662 .741 .909 r .32959 .48298 .33474 .4879 .3429 .48526 .33776 .48034 Metetra .639 .735 .918 r .33776 .48034 .3429 .48526 .35107 .48285 .34593 .47815 Metetra .506 .7 .957 r .34593 .47815 .35107 .48285 .35921 .48156 .35403 .47791 Metetra .685 .804 .939 r .35403 .47791 .35921 .48156 .3674 .47984 .36232 .47471 Metetra .651 .732 .909 r .36232 .47471 .3674 .47984 .37566 .4776 .37059 .47228 Metetra .646 .724 .905 r .37059 .47228 .37566 .4776 .38394 .47528 .37889 .46994 Metetra .644 .723 .906 r .37889 .46994 .38394 .47528 .39225 .47299 .38721 .46763 Metetra .642 .722 .907 r .38721 .46763 .39225 .47299 .40058 .47075 .39557 .46537 Metetra .639 .721 .908 r .39557 .46537 .40058 .47075 .40895 .46856 .40395 .46316 Metetra .636 .72 .908 r .40395 .46316 .40895 .46856 .41734 .46641 .41236 .461 Metetra .633 .719 .909 r .41236 .461 .41734 .46641 .42577 .46432 .4208 .45888 Metetra .63 .718 .91 r .4208 .45888 .42577 .46432 .43422 .46228 .42926 .45683 Metetra .627 .717 .911 r .42926 .45683 .43422 .46228 .4427 .4603 .43776 .45483 Metetra .623 .716 .913 r .43776 .45483 .4427 .4603 .45122 .45838 .44629 .4529 Metetra .62 .715 .914 r .44629 .4529 .45122 .45838 .45976 .45653 .45485 .45103 Metetra .616 .713 .915 r .45485 .45103 .45976 .45653 .46834 .45475 .46344 .44924 Metetra .611 .712 .916 r .46344 .44924 .46834 .45475 .47695 .45305 .47207 .44752 Metetra .606 .71 .918 r .47207 .44752 .47695 .45305 .48559 .45143 .48073 .44589 Metetra .601 .708 .919 r .48073 .44589 .48559 .45143 .49427 .4499 .48942 .44435 Metetra .596 .706 .921 r .48942 .44435 .49427 .4499 .50298 .44847 .49815 .4429 Metetra .59 .704 .922 r .49815 .4429 .50298 .44847 .51173 .44714 .50692 .44157 Metetra .583 .702 .924 r .50692 .44157 .51173 .44714 .52052 .44592 .51572 .44034 Metetra .575 .699 .926 r .51572 .44034 .52052 .44592 .52935 .44483 .52457 .43924 Metetra .567 .696 .928 r .52457 .43924 .52935 .44483 .53822 .44387 .53345 .43828 Metetra .558 .693 .93 r .53345 .43828 .53822 .44387 .54713 .44305 .54238 .43746 Metetra .548 .689 .932 r .54238 .43746 .54713 .44305 .55609 .44239 .55135 .4368 Metetra .536 .685 .934 r .55135 .4368 .55609 .44239 .56509 .44189 .56037 .43632 Metetra .523 .68 .937 r .56037 .43632 .56509 .44189 .57413 .44159 .56943 .43602 Metetra .509 .675 .939 r .56943 .43602 .57413 .44159 .58323 .44149 .57855 .43595 Metetra .492 .668 .942 r .57855 .43595 .58323 .44149 .59238 .44161 .58771 .4361 Metetra .472 .661 .944 r .58771 .4361 .59238 .44161 .60159 .44198 .59694 .43651 Metetra .45 .652 .946 r .59694 .43651 .60159 .44198 .61086 .44263 .60622 .43721 Metetra .423 .641 .948 r .60622 .43721 .61086 .44263 .62018 .44357 .61557 .43822 Metetra .391 .628 .948 r .61557 .43822 .62018 .44357 .62958 .44485 .62498 .43958 Metetra .353 .612 .947 r .62498 .43958 .62958 .44485 .63905 .4465 .63447 .44134 Metetra .308 .592 .944 r .63447 .44134 .63905 .4465 .64859 .44857 .64404 .44354 Metetra .252 .565 .937 r .64404 .44354 .64859 .44857 .65822 .45109 .65369 .44623 Metetra .183 .531 .923 r .65369 .44623 .65822 .45109 .66794 .45412 .66344 .44948 Metetra .099 .486 .898 r .66344 .44948 .66794 .45412 .67776 .45773 .67329 .45335 Metetra 0 .427 .858 r .67329 .45335 .67776 .45773 .68769 .46198 .68325 .45793 Metetra 0 .35 .796 r .68325 .45793 .68769 .46198 .69774 .46694 .69334 .46332 Metetra 0 .253 .704 r .69334 .46332 .69774 .46694 .70792 .47271 .70357 .46961 Metetra 0 .141 .581 r .70357 .46961 .70792 .47271 .71824 .47938 .71396 .47695 Metetra .537 0 0 r .71396 .47695 .71824 .47938 .72873 .48705 .72452 .48545 Metetra .645 .092 0 r .72452 .48545 .72873 .48705 .7394 .49583 .73529 .49529 Metetra .722 .19 0 r .73529 .49529 .7394 .49583 .75027 .50582 .74628 .50663 Metetra .769 .266 .002 r .74628 .50663 .75027 .50582 .76136 .51712 .75752 .51964 Metetra .794 .322 .11 r .75752 .51964 .76136 .51712 .77269 .52981 .76905 .5345 Metetra .802 .361 .197 r .76905 .5345 .77269 .52981 .78427 .54391 .7809 .55134 Metetra .461 .023 .119 r .7809 .55134 .78427 .54391 .79595 .55728 .79154 .55178 Metetra .645 .763 .934 r .79154 .55178 .79595 .55728 .80633 .55431 .80195 .54879 Metetra .645 .763 .934 r .80195 .54879 .80633 .55431 .81675 .55132 .8124 .54578 Metetra .645 .763 .934 r .8124 .54578 .81675 .55132 .82721 .54832 .82289 .54276 Metetra .645 .763 .934 r .82289 .54276 .82721 .54832 .83771 .54532 .83342 .53973 Metetra .645 .763 .934 r .83342 .53973 .83771 .54532 .84825 .5423 .84399 .53669 Metetra .645 .763 .934 r .84399 .53669 .84825 .5423 .85883 .53927 .8546 .53364 Metetra .983 .701 .387 r .8546 .53364 .85883 .53927 .84623 .32173 .84909 .37976 Metetra .02 0 .383 r .84909 .37976 .84623 .32173 .85604 .31774 .85207 .31175 Metetra .664 .741 .908 r .85207 .31175 .85604 .31774 .86598 .3145 .86204 .30848 Metetra .664 .741 .908 r .2919 .48872 .29716 .49361 .30522 .49096 .29999 .48606 Metetra .664 .741 .908 r .29999 .48606 .30522 .49096 .31332 .48831 .3081 .48339 Metetra .664 .741 .908 r .3081 .48339 .31332 .48831 .32144 .48565 .31624 .48071 Metetra .663 .741 .908 r .31624 .48071 .32144 .48565 .32959 .48298 .3244 .47803 Metetra .661 .741 .909 r .3244 .47803 .32959 .48298 .33776 .48034 .33259 .47539 Metetra .64 .736 .918 r .33259 .47539 .33776 .48034 .34593 .47815 .34078 .47317 Metetra .608 .725 .928 r .34078 .47317 .34593 .47815 .35403 .47791 .34896 .47154 Metetra .64 .684 .876 r .34896 .47154 .35403 .47791 .36232 .47471 .35721 .46934 Metetra .648 .723 .903 r .35721 .46934 .36232 .47471 .37059 .47228 .36549 .46696 Metetra .646 .725 .906 r .36549 .46696 .37059 .47228 .37889 .46994 .37381 .46459 Metetra .644 .724 .907 r .37381 .46459 .37889 .46994 .38721 .46763 .38215 .46227 Metetra .642 .723 .908 r .38215 .46227 .38721 .46763 .39557 .46537 .39052 .45999 Metetra .639 .723 .909 r .39052 .45999 .39557 .46537 .40395 .46316 .39891 .45776 Metetra .636 .722 .909 r .39891 .45776 .40395 .46316 .41236 .461 .40734 .45558 Metetra .633 .721 .91 r .40734 .45558 .41236 .461 .4208 .45888 .41579 .45345 Metetra .63 .72 .911 r .41579 .45345 .4208 .45888 .42926 .45683 .42428 .45138 Metetra .627 .718 .913 r .42428 .45138 .42926 .45683 .43776 .45483 .43279 .44936 Metetra .623 .717 .914 r .43279 .44936 .43776 .45483 .44629 .4529 .44134 .44741 Metetra .619 .716 .915 r .44134 .44741 .44629 .4529 .45485 .45103 .44991 .44553 Metetra .615 .714 .916 r .44991 .44553 .45485 .45103 .46344 .44924 .45852 .44372 Metetra .611 .713 .917 r .45852 .44372 .46344 .44924 .47207 .44752 .46716 .44199 Metetra .606 .711 .919 r .46716 .44199 .47207 .44752 .48073 .44589 .47584 .44035 Metetra .601 .709 .92 r .47584 .44035 .48073 .44589 .48942 .44435 .48455 .43879 Metetra .595 .707 .922 r .48455 .43879 .48942 .44435 .49815 .4429 .49329 .43734 Metetra .589 .705 .923 r .49329 .43734 .49815 .4429 .50692 .44157 .50208 .43599 Metetra .582 .703 .925 r .50208 .43599 .50692 .44157 .51572 .44034 .5109 .43476 Metetra .574 .7 .927 r .5109 .43476 .51572 .44034 .52457 .43924 .51976 .43365 Metetra .566 .697 .929 r .51976 .43365 .52457 .43924 .53345 .43828 .52866 .43268 Metetra .557 .693 .931 r .52866 .43268 .53345 .43828 .54238 .43746 .5376 .43186 Metetra .546 .69 .933 r .5376 .43186 .54238 .43746 .55135 .4368 .54659 .4312 Metetra .534 .685 .935 r .54659 .4312 .55135 .4368 .56037 .43632 .55562 .43073 Metetra .521 .68 .938 r .55562 .43073 .56037 .43632 .56943 .43602 .5647 .43045 Metetra .506 .674 .94 r .5647 .43045 .56943 .43602 .57855 .43595 .57383 .43039 Metetra .488 .667 .942 r .57383 .43039 .57855 .43595 .58771 .4361 .58302 .43057 Metetra .468 .659 .945 r .58302 .43057 .58771 .4361 .59694 .43651 .59226 .43102 Metetra .444 .65 .946 r .59226 .43102 .59694 .43651 .60622 .43721 .60156 .43176 Metetra .417 .638 .948 r .60156 .43176 .60622 .43721 .61557 .43822 .61092 .43283 Metetra .383 .624 .948 r .61092 .43283 .61557 .43822 .62498 .43958 .62036 .43428 Metetra .344 .606 .946 r .62036 .43428 .62498 .43958 .63447 .44134 .62987 .43613 Metetra .295 .584 .942 r .62987 .43613 .63447 .44134 .64404 .44354 .63945 .43846 Metetra .236 .555 .933 r .63945 .43846 .64404 .44354 .65369 .44623 .64913 .44131 Metetra .163 .517 .916 r .64913 .44131 .65369 .44623 .66344 .44948 .6589 .44476 Metetra .074 .467 .888 r .6589 .44476 .66344 .44948 .67329 .45335 .66878 .4489 Metetra 0 .402 .843 r .66878 .4489 .67329 .45335 .68325 .45793 .67878 .45381 Metetra 0 .317 .773 r .67878 .45381 .68325 .45793 .69334 .46332 .68891 .45961 Metetra 0 .214 .672 r .68891 .45961 .69334 .46332 .70357 .46961 .69919 .46644 Metetra .449 0 0 r .69919 .46644 .70357 .46961 .71396 .47695 .70963 .47445 Metetra .579 .028 0 r .70963 .47445 .71396 .47695 .72452 .48545 .72027 .48382 Metetra .683 .141 0 r .72027 .48382 .72452 .48545 .73529 .49529 .73114 .49479 Metetra .754 .236 0 r .73114 .49479 .73529 .49529 .74628 .50663 .74225 .50758 Metetra .796 .309 .043 r .74225 .50758 .74628 .50663 .75752 .51964 .75366 .52248 Metetra .817 .361 .146 r .75366 .52248 .75752 .51964 .76905 .5345 .76541 .5398 Metetra .699 .236 .148 r .76541 .5398 .76905 .5345 .7809 .55134 .77671 .54925 Metetra .554 .883 .989 r .77671 .54925 .7809 .55134 .79154 .55178 .78711 .54624 Metetra .645 .763 .934 r .78711 .54624 .79154 .55178 .80195 .54879 .79755 .54323 Metetra .645 .763 .934 r .79755 .54323 .80195 .54879 .8124 .54578 .80803 .5402 Metetra .645 .763 .934 r .80803 .5402 .8124 .54578 .82289 .54276 .81854 .53716 Metetra .645 .763 .934 r .81854 .53716 .82289 .54276 .83342 .53973 .8291 .53411 Metetra .645 .763 .934 r .8291 .53411 .83342 .53973 .84399 .53669 .8397 .53105 Metetra .645 .763 .934 r .8397 .53105 .84399 .53669 .8546 .53364 .85034 .52797 Metetra .645 .763 .934 r .85034 .52797 .8546 .53364 .84909 .37976 .86102 .52489 Metetra 0 0 .345 r .86102 .52489 .84909 .37976 .85207 .31175 .84808 .30571 Metetra .664 .741 .908 r .84808 .30571 .85207 .31175 .86204 .30848 .85807 .30243 Metetra .664 .741 .908 r .28662 .4838 .2919 .48872 .29999 .48606 .29472 .48112 Metetra .664 .741 .908 r .29472 .48112 .29999 .48606 .3081 .48339 .30285 .47844 Metetra .664 .741 .908 r .30285 .47844 .3081 .48339 .31624 .48071 .311 .47574 Metetra .663 .741 .908 r .311 .47574 .31624 .48071 .3244 .47803 .31918 .47305 Metetra .66 .74 .91 r .31918 .47305 .3244 .47803 .33259 .47539 .32738 .47042 Metetra .296 .589 .945 r .32738 .47042 .33259 .47539 .34078 .47317 .33534 .47227 Metetra .781 .936 .932 r .33534 .47227 .34078 .47317 .34896 .47154 .34378 .46663 Metetra .656 .745 .915 r .34378 .46663 .34896 .47154 .35721 .46934 .35206 .46406 Metetra .649 .728 .907 r .35206 .46406 .35721 .46934 .36549 .46696 .36037 .46163 Metetra .646 .726 .907 r .36037 .46163 .36549 .46696 .37381 .46459 .3687 .45925 Metetra .644 .726 .908 r .3687 .45925 .37381 .46459 .38215 .46227 .37705 .45691 Metetra .642 .725 .909 r .37705 .45691 .38215 .46227 .39052 .45999 .38544 .45462 Metetra .639 .724 .91 r .38544 .45462 .39052 .45999 .39891 .45776 .39385 .45237 Metetra .636 .723 .911 r .39385 .45237 .39891 .45776 .40734 .45558 .40229 .45017 Metetra .633 .722 .912 r .40229 .45017 .40734 .45558 .41579 .45345 .41076 .44802 Metetra .63 .721 .913 r .41076 .44802 .41579 .45345 .42428 .45138 .41926 .44593 Metetra .627 .72 .914 r .41926 .44593 .42428 .45138 .43279 .44936 .42779 .4439 Metetra .623 .719 .915 r .42779 .4439 .43279 .44936 .44134 .44741 .43635 .44194 Metetra .619 .717 .916 r .43635 .44194 .44134 .44741 .44991 .44553 .44494 .44004 Metetra .615 .716 .917 r .44494 .44004 .44991 .44553 .45852 .44372 .45357 .43821 Metetra .611 .714 .919 r .45357 .43821 .45852 .44372 .46716 .44199 .46222 .43647 Metetra .606 .712 .92 r .46222 .43647 .46716 .44199 .47584 .44035 .47092 .43481 Metetra .6 .711 .921 r .47092 .43481 .47584 .44035 .48455 .43879 .47964 .43324 Metetra .595 .708 .923 r .47964 .43324 .48455 .43879 .49329 .43734 .4884 .43177 Metetra .588 .706 .925 r .4884 .43177 .49329 .43734 .50208 .43599 .4972 .43041 Metetra .581 .704 .926 r .4972 .43041 .50208 .43599 .5109 .43476 .50604 .42917 Metetra .574 .701 .928 r .50604 .42917 .5109 .43476 .51976 .43365 .51492 .42805 Metetra .565 .698 .93 r .51492 .42805 .51976 .43365 .52866 .43268 .52383 .42708 Metetra .555 .694 .932 r .52383 .42708 .52866 .43268 .5376 .43186 .53279 .42626 Metetra .545 .69 .934 r .53279 .42626 .5376 .43186 .54659 .4312 .54179 .4256 Metetra .533 .685 .936 r .54179 .4256 .54659 .4312 .55562 .43073 .55084 .42513 Metetra .519 .68 .939 r .55084 .42513 .55562 .43073 .5647 .43045 .55994 .42486 Metetra .503 .674 .941 r .55994 .42486 .5647 .43045 .57383 .43039 .56909 .42481 Metetra .485 .667 .943 r .56909 .42481 .57383 .43039 .58302 .43057 .57829 .42502 Metetra .464 .658 .945 r .57829 .42502 .58302 .43057 .59226 .43102 .58755 .42549 Metetra .44 .648 .947 r .58755 .42549 .59226 .43102 .60156 .43176 .59687 .42628 Metetra .411 .636 .947 r .59687 .42628 .60156 .43176 .61092 .43283 .60625 .42741 Metetra .376 .62 .947 r .60625 .42741 .61092 .43283 .62036 .43428 .6157 .42892 Metetra .335 .601 .945 r .6157 .42892 .62036 .43428 .62987 .43613 .62523 .43088 Metetra .284 .577 .939 r .62523 .43088 .62987 .43613 .63945 .43846 .63484 .43332 Metetra .222 .545 .929 r .63484 .43332 .63945 .43846 .64913 .44131 .64454 .43632 Metetra .146 .504 .91 r .64454 .43632 .64913 .44131 .6589 .44476 .65433 .43997 Metetra .052 .45 .878 r .65433 .43997 .6589 .44476 .66878 .4489 .66424 .44435 Metetra 0 .379 .828 r .66424 .44435 .66878 .4489 .67878 .45381 .67427 .44957 Metetra 0 .288 .752 r .67427 .44957 .67878 .45381 .68891 .45961 .68444 .45578 Metetra 0 .178 .645 r .68444 .45578 .68891 .45961 .69919 .46644 .69476 .46313 Metetra .484 0 0 r .69476 .46313 .69919 .46644 .70963 .47445 .70527 .47181 Metetra .613 .07 0 r .70527 .47181 .70963 .47445 .72027 .48382 .71598 .48207 Metetra .712 .182 0 r .71598 .48207 .72027 .48382 .73114 .49479 .72693 .49419 Metetra .779 .274 0 r .72693 .49419 .73114 .49479 .74225 .50758 .73818 .50851 Metetra .819 .344 .072 r .73818 .50851 .74225 .50758 .75366 .52248 .74976 .52545 Metetra .838 .394 .171 r .74976 .52545 .75366 .52248 .76541 .5398 .76174 .54551 Metetra .306 0 0 r .76174 .54551 .76541 .5398 .77671 .54925 .77222 .54369 Metetra .645 .763 .934 r .77222 .54369 .77671 .54925 .78711 .54624 .78264 .54067 Metetra .645 .763 .934 r .78264 .54067 .78711 .54624 .79755 .54323 .79311 .53763 Metetra .645 .763 .934 r .79311 .53763 .79755 .54323 .80803 .5402 .80362 .53458 Metetra .645 .763 .934 r .80362 .53458 .80803 .5402 .81854 .53716 .81416 .53152 Metetra .645 .763 .934 r .81416 .53152 .81854 .53716 .8291 .53411 .82475 .52845 Metetra .645 .763 .934 r .82475 .52845 .8291 .53411 .8397 .53105 .83538 .52536 Metetra .645 .763 .934 r .83538 .52536 .8397 .53105 .85034 .52797 .84605 .52227 Metetra .645 .763 .934 r .84605 .52227 .85034 .52797 .86102 .52489 .85676 .51916 Metetra .981 .689 .361 r .85676 .51916 .86102 .52489 .84808 .30571 .84408 .29981 Metetra .67 .751 .911 r .84408 .29981 .84808 .30571 .85807 .30243 .85407 .29633 Metetra .664 .741 .908 r .28131 .47885 .28662 .4838 .29472 .48112 .28942 .47616 Metetra .664 .741 .908 r .28942 .47616 .29472 .48112 .30285 .47844 .29757 .47346 Metetra .664 .741 .908 r .29757 .47346 .30285 .47844 .311 .47574 .30574 .47075 Metetra .663 .741 .908 r .30574 .47075 .311 .47574 .31918 .47305 .31393 .46804 Metetra .66 .74 .91 r .31393 .46804 .31918 .47305 .32738 .47042 .32215 .46539 Metetra .634 .733 .92 r .32215 .46539 .32738 .47042 .33534 .47227 .33036 .46327 Metetra .628 .611 .814 r .33036 .46327 .33534 .47227 .34378 .46663 .3386 .46119 Metetra .649 .723 .902 r .3386 .46119 .34378 .46663 .35206 .46406 .34689 .45875 Metetra .649 .728 .907 r .34689 .45875 .35206 .46406 .36037 .46163 .35521 .45631 Metetra .646 .728 .908 r .35521 .45631 .36037 .46163 .3687 .45925 .36355 .45391 Metetra .644 .727 .909 r .36355 .45391 .3687 .45925 .37705 .45691 .37193 .45156 Metetra .641 .726 .91 r .37193 .45156 .37705 .45691 .38544 .45462 .38033 .44924 Metetra .639 .725 .911 r .38033 .44924 .38544 .45462 .39385 .45237 .38875 .44698 Metetra .636 .724 .912 r .38875 .44698 .39385 .45237 .40229 .45017 .39721 .44476 Metetra .633 .723 .913 r .39721 .44476 .40229 .45017 .41076 .44802 .4057 .4426 Metetra .63 .722 .914 r .4057 .4426 .41076 .44802 .41926 .44593 .41421 .44049 Metetra .627 .721 .915 r .41421 .44049 .41926 .44593 .42779 .4439 .42276 .43844 Metetra .623 .72 .916 r .42276 .43844 .42779 .4439 .43635 .44194 .43133 .43646 Metetra .619 .719 .917 r .43133 .43646 .43635 .44194 .44494 .44004 .43994 .43455 Metetra .615 .717 .918 r .43994 .43455 .44494 .44004 .45357 .43821 .44858 .43271 Metetra .61 .716 .92 r .44858 .43271 .45357 .43821 .46222 .43647 .45726 .43094 Metetra .605 .714 .921 r .45726 .43094 .46222 .43647 .47092 .43481 .46596 .42927 Metetra .6 .712 .923 r .46596 .42927 .47092 .43481 .47964 .43324 .47471 .42769 Metetra .594 .71 .924 r .47471 .42769 .47964 .43324 .4884 .43177 .48348 .42621 Metetra .588 .707 .926 r .48348 .42621 .4884 .43177 .4972 .43041 .4923 .42483 Metetra .581 .705 .928 r .4923 .42483 .4972 .43041 .50604 .42917 .50115 .42358 Metetra .573 .702 .929 r .50115 .42358 .50604 .42917 .51492 .42805 .51004 .42246 Metetra .564 .699 .931 r .51004 .42246 .51492 .42805 .52383 .42708 .51898 .42148 Metetra .554 .695 .933 r .51898 .42148 .52383 .42708 .53279 .42626 .52795 .42065 Metetra .543 .691 .935 r .52795 .42065 .53279 .42626 .54179 .4256 .53697 .41999 Metetra .531 .686 .938 r .53697 .41999 .54179 .4256 .55084 .42513 .54604 .41952 Metetra .517 .68 .94 r .54604 .41952 .55084 .42513 .55994 .42486 .55515 .41926 Metetra .501 .674 .942 r .55515 .41926 .55994 .42486 .56909 .42481 .56431 .41922 Metetra .482 .666 .944 r .56431 .41922 .56909 .42481 .57829 .42502 .57353 .41944 Metetra .461 .657 .946 r .57353 .41944 .57829 .42502 .58755 .42549 .58281 .41995 Metetra .436 .646 .947 r .58281 .41995 .58755 .42549 .59687 .42628 .59214 .42077 Metetra .406 .633 .947 r .59214 .42077 .59687 .42628 .60625 .42741 .60154 .42195 Metetra .37 .617 .946 r .60154 .42195 .60625 .42741 .6157 .42892 .61101 .42353 Metetra .327 .596 .943 r .61101 .42353 .6157 .42892 .62523 .43088 .62056 .42556 Metetra .275 .57 .937 r .62056 .42556 .62523 .43088 .63484 .43332 .63019 .42811 Metetra .211 .536 .925 r .63019 .42811 .63484 .43332 .64454 .43632 .63991 .43125 Metetra .132 .492 .904 r .63991 .43125 .64454 .43632 .65433 .43997 .64973 .43507 Metetra .035 .434 .87 r .64973 .43507 .65433 .43997 .66424 .44435 .65966 .43968 Metetra 0 .359 .816 r .65966 .43968 .66424 .44435 .67427 .44957 .66972 .44519 Metetra 0 .264 .735 r .66972 .44519 .67427 .44957 .68444 .45578 .67992 .45178 Metetra 0 .149 .624 r .67992 .45178 .68444 .45578 .69476 .46313 .69029 .45962 Metetra .51 0 0 r .69029 .45962 .69476 .46313 .70527 .47181 .70085 .46896 Metetra .637 .102 0 r .70085 .46896 .70527 .47181 .71598 .48207 .71163 .48008 Metetra .734 .214 0 r .71163 .48008 .71598 .48207 .72693 .49419 .72268 .49335 Metetra .799 .305 0 r .72268 .49335 .72693 .49419 .73818 .50851 .73404 .50922 Metetra .837 .373 .09 r .73404 .50922 .73818 .50851 .74976 .52545 .74579 .52829 Metetra .763 .279 .088 r .74579 .52829 .74976 .52545 .76174 .54551 .75728 .54113 Metetra .634 .811 .968 r .75728 .54113 .76174 .54551 .77222 .54369 .76769 .5381 Metetra .645 .763 .934 r .76769 .5381 .77222 .54369 .78264 .54067 .77815 .53505 Metetra .645 .763 .934 r .77815 .53505 .78264 .54067 .79311 .53763 .78864 .53199 Metetra .645 .763 .934 r .78864 .53199 .79311 .53763 .80362 .53458 .79918 .52892 Metetra .645 .763 .934 r .79918 .52892 .80362 .53458 .81416 .53152 .80975 .52584 Metetra .645 .763 .934 r .80975 .52584 .81416 .53152 .82475 .52845 .82037 .52275 Metetra .645 .763 .934 r .82037 .52275 .82475 .52845 .83538 .52536 .83103 .51964 Metetra .645 .763 .934 r .83103 .51964 .83538 .52536 .84605 .52227 .84173 .51652 Metetra .645 .763 .934 r .84173 .51652 .84605 .52227 .85676 .51916 .85247 .51339 Metetra .981 .69 .362 r .85247 .51339 .85676 .51916 .84408 .29981 .84049 .29796 Metetra .818 .969 .899 r .84049 .29796 .84408 .29981 .85407 .29633 .85005 .2902 Metetra .664 .741 .908 r .27596 .47387 .28131 .47885 .28942 .47616 .28409 .47116 Metetra .664 .741 .908 r .28409 .47116 .28942 .47616 .29757 .47346 .29225 .46845 Metetra .664 .741 .908 r .29225 .46845 .29757 .47346 .30574 .47075 .30044 .46572 Metetra .663 .741 .908 r .30044 .46572 .30574 .47075 .31393 .46804 .30865 .46299 Metetra .658 .74 .91 r .30865 .46299 .31393 .46804 .32215 .46539 .31688 .46036 Metetra .624 .731 .924 r .31688 .46036 .32215 .46539 .33036 .46327 .3251 .45841 Metetra .65 .747 .92 r .3251 .45841 .33036 .46327 .3386 .46119 .33337 .45594 Metetra .651 .731 .908 r .33337 .45594 .3386 .46119 .34689 .45875 .34168 .45345 Metetra .649 .73 .908 r .34168 .45345 .34689 .45875 .35521 .45631 .35002 .45099 Metetra .646 .729 .909 r .35002 .45099 .35521 .45631 .36355 .45391 .35838 .44858 Metetra .644 .728 .91 r .35838 .44858 .36355 .45391 .37193 .45156 .36676 .4462 Metetra .641 .727 .911 r .36676 .4462 .37193 .45156 .38033 .44924 .37518 .44387 Metetra .639 .727 .912 r .37518 .44387 .38033 .44924 .38875 .44698 .38362 .44159 Metetra .636 .726 .913 r .38362 .44159 .38875 .44698 .39721 .44476 .3921 .43936 Metetra .633 .725 .914 r .3921 .43936 .39721 .44476 .4057 .4426 .4006 .43718 Metetra .63 .724 .915 r .4006 .43718 .4057 .4426 .41421 .44049 .40913 .43505 Metetra .626 .723 .916 r .40913 .43505 .41421 .44049 .42276 .43844 .41769 .43299 Metetra .623 .721 .917 r .41769 .43299 .42276 .43844 .43133 .43646 .42629 .43099 Metetra .619 .72 .918 r .42629 .43099 .43133 .43646 .43994 .43455 .43491 .42906 Metetra .615 .719 .92 r .43491 .42906 .43994 .43455 .44858 .43271 .44357 .4272 Metetra .61 .717 .921 r .44357 .4272 .44858 .43271 .45726 .43094 .45226 .42543 Metetra .605 .715 .922 r .45226 .42543 .45726 .43094 .46596 .42927 .46098 .42374 Metetra .6 .713 .924 r .46098 .42374 .46596 .42927 .47471 .42769 .46974 .42214 Metetra .594 .711 .925 r .46974 .42214 .47471 .42769 .48348 .42621 .47853 .42064 Metetra .587 .709 .927 r .47853 .42064 .48348 .42621 .4923 .42483 .48736 .41926 Metetra .58 .706 .929 r .48736 .41926 .4923 .42483 .50115 .42358 .49623 .41799 Metetra .572 .703 .931 r .49623 .41799 .50115 .42358 .51004 .42246 .50514 .41686 Metetra .563 .7 .933 r .50514 .41686 .51004 .42246 .51898 .42148 .51409 .41587 Metetra .553 .696 .934 r .51409 .41587 .51898 .42148 .52795 .42065 .52308 .41504 Metetra .542 .691 .937 r .52308 .41504 .52795 .42065 .53697 .41999 .53212 .41438 Metetra .529 .686 .939 r .53212 .41438 .53697 .41999 .54604 .41952 .5412 .4139 Metetra .515 .681 .941 r .5412 .4139 .54604 .41952 .55515 .41926 .55033 .41364 Metetra .499 .674 .943 r .55033 .41364 .55515 .41926 .56431 .41922 .55951 .41362 Metetra .48 .666 .945 r .55951 .41362 .56431 .41922 .57353 .41944 .56874 .41385 Metetra .458 .656 .946 r .56874 .41385 .57353 .41944 .58281 .41995 .57804 .41438 Metetra .432 .645 .947 r .57804 .41438 .58281 .41995 .59214 .42077 .58739 .41523 Metetra .401 .631 .947 r .58739 .41523 .59214 .42077 .60154 .42195 .5968 .41644 Metetra .365 .613 .946 r .5968 .41644 .60154 .42195 .61101 .42353 .60629 .41807 Metetra .321 .592 .942 r .60629 .41807 .61101 .42353 .62056 .42556 .61586 .42018 Metetra .267 .564 .935 r .61586 .42018 .62056 .42556 .63019 .42811 .6255 .42282 Metetra .201 .528 .921 r .6255 .42282 .63019 .42811 .63991 .43125 .63524 .42608 Metetra .12 .482 .899 r .63524 .42608 .63991 .43125 .64973 .43507 .64509 .43005 Metetra .022 .421 .862 r .64509 .43005 .64973 .43507 .65966 .43968 .65504 .43486 Metetra 0 .342 .806 r .65504 .43486 .65966 .43968 .66972 .44519 .66513 .44064 Metetra 0 .244 .723 r .66513 .44064 .66972 .44519 .67992 .45178 .67536 .44757 Metetra 0 .127 .61 r .67536 .44757 .67992 .45178 .69029 .45962 .68577 .45587 Metetra .526 .001 0 r .68577 .45587 .69029 .45962 .70085 .46896 .69638 .4658 Metetra .652 .127 0 r .69638 .4658 .70085 .46896 .71163 .48008 .70722 .47773 Metetra .748 .238 0 r .70722 .47773 .71163 .48008 .72268 .49335 .71835 .4921 Metetra .813 .328 0 r .71835 .4921 .72268 .49335 .73404 .50922 .72983 .50948 Metetra .852 .396 .096 r .72983 .50948 .73404 .50922 .74579 .52829 .74175 .53065 Metetra .548 0 0 r .74175 .53065 .74579 .52829 .75728 .54113 .75269 .53552 Metetra .645 .763 .934 r .75269 .53552 .75728 .54113 .76769 .5381 .76314 .53246 Metetra .645 .763 .934 r .76314 .53246 .76769 .5381 .77815 .53505 .77362 .5294 Metetra .645 .763 .934 r .77362 .5294 .77815 .53505 .78864 .53199 .78414 .52631 Metetra .645 .763 .934 r .78414 .52631 .78864 .53199 .79918 .52892 .79471 .52322 Metetra .645 .763 .934 r .79471 .52322 .79918 .52892 .80975 .52584 .80531 .52012 Metetra .645 .763 .934 r .80531 .52012 .80975 .52584 .82037 .52275 .81596 .517 Metetra .645 .763 .934 r .81596 .517 .82037 .52275 .83103 .51964 .82664 .51387 Metetra .645 .763 .934 r .82664 .51387 .83103 .51964 .84173 .51652 .83737 .51073 Metetra .645 .763 .934 r .83737 .51073 .84173 .51652 .85247 .51339 .84814 .50758 Metetra .984 .704 .39 r .84814 .50758 .85247 .51339 .84049 .29796 .84471 .37006 Metetra 0 0 .381 r .84471 .37006 .84049 .29796 .85005 .2902 .846 .28403 Metetra .664 .741 .908 r .27058 .46887 .27596 .47387 .28409 .47116 .27873 .46614 Metetra .664 .741 .908 r .27873 .46614 .28409 .47116 .29225 .46845 .28691 .46341 Metetra .664 .741 .908 r .28691 .46341 .29225 .46845 .30044 .46572 .29511 .46066 Metetra .663 .741 .908 r .29511 .46066 .30044 .46572 .30865 .46299 .30333 .45792 Metetra .658 .74 .91 r .30333 .45792 .30865 .46299 .31688 .46036 .31158 .45527 Metetra .624 .73 .923 r .31158 .45527 .31688 .46036 .3251 .45841 .31981 .4533 Metetra .656 .739 .911 r .31981 .4533 .3251 .45841 .33337 .45594 .32811 .45068 Metetra .652 .733 .909 r .32811 .45068 .33337 .45594 .34168 .45345 .33644 .44815 Metetra .649 .731 .909 r .33644 .44815 .34168 .45345 .35002 .45099 .34479 .44568 Metetra .646 .73 .91 r .34479 .44568 .35002 .45099 .35838 .44858 .35317 .44324 Metetra .644 .73 .911 r .35317 .44324 .35838 .44858 .36676 .4462 .36157 .44085 Metetra .641 .729 .912 r .36157 .44085 .36676 .4462 .37518 .44387 .37 .43851 Metetra .639 .728 .913 r .37 .43851 .37518 .44387 .38362 .44159 .37846 .43621 Metetra .636 .727 .914 r .37846 .43621 .38362 .44159 .3921 .43936 .38695 .43396 Metetra .633 .726 .915 r .38695 .43396 .3921 .43936 .4006 .43718 .39547 .43176 Metetra .63 .725 .916 r .39547 .43176 .4006 .43718 .40913 .43505 .40402 .42962 Metetra .626 .724 .917 r .40402 .42962 .40913 .43505 .41769 .43299 .4126 .42754 Metetra .623 .723 .918 r .4126 .42754 .41769 .43299 .42629 .43099 .42121 .42552 Metetra .619 .721 .92 r .42121 .42552 .42629 .43099 .43491 .42906 .42985 .42358 Metetra .614 .72 .921 r .42985 .42358 .43491 .42906 .44357 .4272 .43852 .4217 Metetra .61 .718 .922 r .43852 .4217 .44357 .4272 .45226 .42543 .44723 .41991 Metetra .605 .717 .924 r .44723 .41991 .45226 .42543 .46098 .42374 .45597 .41821 Metetra .599 .715 .925 r .45597 .41821 .46098 .42374 .46974 .42214 .46474 .41659 Metetra .593 .712 .927 r .46474 .41659 .46974 .42214 .47853 .42064 .47355 .41508 Metetra .586 .71 .928 r .47355 .41508 .47853 .42064 .48736 .41926 .4824 .41369 Metetra .579 .707 .93 r .4824 .41369 .48736 .41926 .49623 .41799 .49128 .41241 Metetra .571 .704 .932 r .49128 .41241 .49623 .41799 .50514 .41686 .50021 .41126 Metetra .562 .701 .934 r .50021 .41126 .50514 .41686 .51409 .41587 .50917 .41026 Metetra .552 .697 .936 r .50917 .41026 .51409 .41587 .52308 .41504 .51818 .40942 Metetra .541 .692 .938 r .51818 .40942 .52308 .41504 .53212 .41438 .52723 .40875 Metetra .528 .687 .94 r .52723 .40875 .53212 .41438 .5412 .4139 .53633 .40828 Metetra .513 .681 .942 r .53633 .40828 .5412 .4139 .55033 .41364 .54548 .40802 Metetra .497 .674 .943 r .54548 .40802 .55033 .41364 .55951 .41362 .55467 .40799 Metetra .478 .666 .945 r .55467 .40799 .55951 .41362 .56874 .41385 .56393 .40824 Metetra .455 .656 .947 r .56393 .40824 .56874 .41385 .57804 .41438 .57323 .40877 Metetra .429 .644 .947 r .57323 .40877 .57804 .41438 .58739 .41523 .5826 .40964 Metetra .398 .629 .947 r .5826 .40964 .58739 .41523 .5968 .41644 .59204 .41089 Metetra .361 .611 .945 r .59204 .41089 .5968 .41644 .60629 .41807 .60154 .41256 Metetra .316 .588 .941 r .60154 .41256 .60629 .41807 .61586 .42018 .61112 .41472 Metetra .261 .559 .933 r .61112 .41472 .61586 .42018 .6255 .42282 .62079 .41744 Metetra .195 .522 .918 r .62079 .41744 .6255 .42282 .63524 .42608 .63055 .4208 Metetra .113 .473 .895 r .63055 .4208 .63524 .42608 .64509 .43005 .64041 .4249 Metetra .014 .411 .857 r .64041 .4249 .64509 .43005 .65504 .43486 .65039 .42988 Metetra 0 .33 .8 r .65039 .42988 .65504 .43486 .66513 .44064 .6605 .43588 Metetra 0 .23 .716 r .6605 .43588 .66513 .44064 .67536 .44757 .67076 .4431 Metetra 0 .112 .604 r .67076 .4431 .67536 .44757 .68577 .45587 .6812 .45179 Metetra .532 .016 0 r .6812 .45179 .68577 .45587 .69638 .4658 .69185 .46225 Metetra .657 .141 0 r .69185 .46225 .69638 .4658 .70722 .47773 .70275 .4749 Metetra .754 .253 0 r .70275 .4749 .70722 .47773 .71835 .4921 .71395 .49025 Metetra .821 .344 0 r .71395 .49025 .71835 .4921 .72983 .50948 .72553 .50901 Metetra .863 .413 .09 r .72553 .50901 .72983 .50948 .74175 .53065 .73759 .53215 Metetra .73759 .53215 .74175 .53065 .75269 .53552 .74807 .52987 Metetra .645 .763 .934 r .74807 .52987 .75269 .53552 .76314 .53246 .75855 .52679 Metetra .645 .763 .934 r .75855 .52679 .76314 .53246 .77362 .5294 .76906 .5237 Metetra .645 .763 .934 r .76906 .5237 .77362 .5294 .78414 .52631 .77961 .5206 Metetra .645 .763 .934 r .77961 .5206 .78414 .52631 .79471 .52322 .7902 .51748 Metetra .645 .763 .934 r .7902 .51748 .79471 .52322 .80531 .52012 .80084 .51436 Metetra .645 .763 .934 r .80084 .51436 .80531 .52012 .81596 .517 .81151 .51122 Metetra .645 .763 .934 r .81151 .51122 .81596 .517 .82664 .51387 .82223 .50807 Metetra .645 .763 .934 r .82223 .50807 .82664 .51387 .83737 .51073 .83299 .5049 Metetra .645 .763 .934 r .83299 .5049 .83737 .51073 .84814 .50758 .84379 .50173 Metetra .645 .763 .934 r .84379 .50173 .84814 .50758 .84471 .37006 .85463 .49854 Metetra 0 0 .284 r .85463 .49854 .84471 .37006 .846 .28403 .84193 .27784 Metetra .664 .741 .908 r .26517 .46383 .27058 .46887 .27873 .46614 .27334 .46109 Metetra .664 .741 .908 r .27334 .46109 .27873 .46614 .28691 .46341 .28153 .45833 Metetra .664 .741 .908 r .28153 .45833 .28691 .46341 .29511 .46066 .28974 .45558 Metetra .663 .741 .908 r .28974 .45558 .29511 .46066 .30333 .45792 .29799 .45281 Metetra .66 .74 .91 r .29799 .45281 .30333 .45792 .31158 .45527 .30625 .45012 Metetra .643 .735 .915 r .30625 .45012 .31158 .45527 .31981 .4533 .31452 .44776 Metetra .646 .721 .903 r .31452 .44776 .31981 .4533 .32811 .45068 .32283 .44536 Metetra .65 .731 .908 r .32283 .44536 .32811 .45068 .33644 .44815 .33116 .44285 Metetra .648 .732 .91 r .33116 .44285 .33644 .44815 .34479 .44568 .33953 .44037 Metetra .646 .732 .911 r .33953 .44037 .34479 .44568 .35317 .44324 .34792 .43792 Metetra .644 .731 .912 r .34792 .43792 .35317 .44324 .36157 .44085 .35634 .43551 Metetra .641 .73 .913 r .35634 .43551 .36157 .44085 .37 .43851 .36479 .43315 Metetra .639 .73 .914 r .36479 .43315 .37 .43851 .37846 .43621 .37327 .43083 Metetra .636 .729 .915 r .37327 .43083 .37846 .43621 .38695 .43396 .38177 .42857 Metetra .633 .728 .916 r .38177 .42857 .38695 .43396 .39547 .43176 .39031 .42635 Metetra .629 .727 .917 r .39031 .42635 .39547 .43176 .40402 .42962 .39887 .4242 Metetra .626 .726 .918 r .39887 .4242 .40402 .42962 .4126 .42754 .40747 .4221 Metetra .622 .724 .92 r .40747 .4221 .4126 .42754 .42121 .42552 .41609 .42006 Metetra .618 .723 .921 r .41609 .42006 .42121 .42552 .42985 .42358 .42475 .4181 Metetra .614 .721 .922 r .42475 .4181 .42985 .42358 .43852 .4217 .43344 .41621 Metetra .609 .72 .924 r .43344 .41621 .43852 .4217 .44723 .41991 .44216 .4144 Metetra .604 .718 .925 r .44216 .4144 .44723 .41991 .45597 .41821 .45092 .41268 Metetra .599 .716 .926 r .45092 .41268 .45597 .41821 .46474 .41659 .45971 .41105 Metetra .593 .714 .928 r .45971 .41105 .46474 .41659 .47355 .41508 .46854 .40953 Metetra .586 .711 .93 r .46854 .40953 .47355 .41508 .4824 .41369 .4774 .40812 Metetra .579 .709 .931 r .4774 .40812 .4824 .41369 .49128 .41241 .4863 .40682 Metetra .57 .705 .933 r .4863 .40682 .49128 .41241 .50021 .41126 .49525 .40567 Metetra .561 .702 .935 r .49525 .40567 .50021 .41126 .50917 .41026 .50423 .40465 Metetra .551 .698 .937 r .50423 .40465 .50917 .41026 .51818 .40942 .51325 .4038 Metetra .54 .693 .939 r .51325 .4038 .51818 .40942 .52723 .40875 .52232 .40313 Metetra .527 .688 .941 r .52232 .40313 .52723 .40875 .53633 .40828 .53143 .40264 Metetra .512 .681 .943 r .53143 .40264 .53633 .40828 .54548 .40802 .5406 .40238 Metetra .495 .674 .944 r .5406 .40238 .54548 .40802 .55467 .40799 .54981 .40235 Metetra .476 .666 .946 r .54981 .40235 .55467 .40799 .56393 .40824 .55908 .4026 Metetra .453 .655 .947 r .55908 .4026 .56393 .40824 .57323 .40877 .5684 .40314 Metetra .426 .643 .947 r .5684 .40314 .57323 .40877 .5826 .40964 .57779 .40403 Metetra .395 .627 .947 r .57779 .40403 .5826 .40964 .59204 .41089 .58724 .40529 Metetra .358 .609 .944 r .58724 .40529 .59204 .41089 .60154 .41256 .59676 .40699 Metetra .313 .585 .94 r .59676 .40699 .60154 .41256 .61112 .41472 .60635 .40919 Metetra .258 .555 .931 r .60635 .40919 .61112 .41472 .62079 .41744 .61604 .41196 Metetra .191 .517 .916 r .61604 .41196 .62079 .41744 .63055 .4208 .62581 .4154 Metetra .11 .467 .892 r .62581 .4154 .63055 .4208 .64041 .4249 .63569 .4196 Metetra .011 .404 .854 r .63569 .4196 .64041 .4249 .65039 .42988 .64569 .4247 Metetra 0 .323 .797 r .64569 .4247 .65039 .42988 .6605 .43588 .65582 .43088 Metetra 0 .223 .715 r .65582 .43088 .6605 .43588 .67076 .4431 .66611 .43834 Metetra 0 .105 .606 r .66611 .43834 .67076 .4431 .6812 .45179 .67658 .44734 Metetra .527 .022 0 r .67658 .44734 .6812 .45179 .69185 .46225 .68726 .45822 Metetra .653 .147 0 r .68726 .45822 .69185 .46225 .70275 .4749 .6982 .47145 Metetra .752 .259 0 r .6982 .47145 .70275 .4749 .71395 .49025 .70946 .48761 Metetra .823 .352 0 r .70946 .48761 .71395 .49025 .72553 .50901 .72112 .50753 Metetra .831 .358 0 r .72112 .50753 .72553 .50901 .73759 .53215 .73297 .52726 Metetra .64 .794 .956 r .73297 .52726 .73759 .53215 .74807 .52987 .74342 .52418 Metetra .645 .763 .934 r .74342 .52418 .74807 .52987 .75855 .52679 .75392 .52108 Metetra .645 .763 .934 r .75392 .52108 .75855 .52679 .76906 .5237 .76446 .51796 Metetra .645 .763 .934 r .76446 .51796 .76906 .5237 .77961 .5206 .77505 .51484 Metetra .645 .763 .934 r .77505 .51484 .77961 .5206 .7902 .51748 .78567 .5117 Metetra .645 .763 .934 r .78567 .5117 .7902 .51748 .80084 .51436 .79633 .50855 Metetra .645 .763 .934 r .79633 .50855 .80084 .51436 .81151 .51122 .80704 .50539 Metetra .645 .763 .934 r .80704 .50539 .81151 .51122 .82223 .50807 .81778 .50222 Metetra .645 .763 .934 r .81778 .50222 .82223 .50807 .83299 .5049 .82857 .49903 Metetra .645 .763 .934 r .82857 .49903 .83299 .5049 .84379 .50173 .8394 .49584 Metetra .645 .763 .934 r .8394 .49584 .84379 .50173 .85463 .49854 .85028 .49262 Metetra .981 .688 .355 r .85028 .49262 .85463 .49854 .84193 .27784 .83784 .27168 Metetra .664 .741 .908 r .25973 .45876 .26517 .46383 .27334 .46109 .26791 .456 Metetra .664 .741 .908 r .26791 .456 .27334 .46109 .28153 .45833 .27611 .45323 Metetra .664 .741 .908 r .27611 .45323 .28153 .45833 .28974 .45558 .28435 .45046 Metetra .663 .741 .908 r .28435 .45046 .28974 .45558 .29799 .45281 .29261 .44768 Metetra .658 .74 .91 r .29261 .44768 .29799 .45281 .30625 .45012 .30089 .445 Metetra .62 .73 .926 r .30089 .445 .30625 .45012 .31452 .44776 .30914 .44308 Metetra .67 .762 .92 r .30914 .44308 .31452 .44776 .32283 .44536 .3175 .44013 Metetra .652 .737 .912 r .3175 .44013 .32283 .44536 .33116 .44285 .32585 .43756 Metetra .648 .734 .912 r .32585 .43756 .33116 .44285 .33953 .44037 .33424 .43506 Metetra .646 .733 .912 r .33424 .43506 .33953 .44037 .34792 .43792 .34265 .4326 Metetra .644 .733 .913 r .34265 .4326 .34792 .43792 .35634 .43551 .35108 .43017 Metetra .641 .732 .914 r .35108 .43017 .35634 .43551 .36479 .43315 .35955 .4278 Metetra .638 .731 .915 r .35955 .4278 .36479 .43315 .37327 .43083 .36804 .42546 Metetra .636 .73 .916 r .36804 .42546 .37327 .43083 .38177 .42857 .37656 .42318 Metetra .633 .729 .917 r .37656 .42318 .38177 .42857 .39031 .42635 .38511 .42095 Metetra .629 .728 .919 r .38511 .42095 .39031 .42635 .39887 .4242 .39369 .41878 Metetra .626 .727 .92 r .39369 .41878 .39887 .4242 .40747 .4221 .4023 .41666 Metetra .622 .726 .921 r .4023 .41666 .40747 .4221 .41609 .42006 .41095 .41461 Metetra .618 .724 .922 r .41095 .41461 .41609 .42006 .42475 .4181 .41962 .41263 Metetra .614 .723 .923 r .41962 .41263 .42475 .4181 .43344 .41621 .42833 .41072 Metetra .609 .721 .925 r .42833 .41072 .43344 .41621 .44216 .4144 .43707 .4089 Metetra .604 .72 .926 r .43707 .4089 .44216 .4144 .45092 .41268 .44584 .40716 Metetra .598 .717 .928 r .44584 .40716 .45092 .41268 .45971 .41105 .45465 .40552 Metetra .592 .715 .929 r .45465 .40552 .45971 .41105 .46854 .40953 .46349 .40398 Metetra .585 .713 .931 r .46349 .40398 .46854 .40953 .4774 .40812 .47237 .40255 Metetra .578 .71 .933 r .47237 .40255 .4774 .40812 .4863 .40682 .48129 .40124 Metetra .57 .707 .934 r .48129 .40124 .4863 .40682 .49525 .40567 .49025 .40007 Metetra .561 .703 .936 r .49025 .40007 .49525 .40567 .50423 .40465 .49925 .39904 Metetra .55 .699 .938 r .49925 .39904 .50423 .40465 .51325 .4038 .50829 .39818 Metetra .539 .694 .94 r .50829 .39818 .51325 .4038 .52232 .40313 .51737 .39749 Metetra .526 .689 .942 r .51737 .39749 .52232 .40313 .53143 .40264 .5265 .397 Metetra .511 .682 .943 r .5265 .397 .53143 .40264 .5406 .40238 .53568 .39673 Metetra .494 .675 .945 r .53568 .39673 .5406 .40238 .54981 .40235 .54491 .3967 Metetra .474 .666 .946 r .54491 .3967 .54981 .40235 .55908 .4026 .5542 .39694 Metetra .451 .655 .947 r .5542 .39694 .55908 .4026 .5684 .40314 .56354 .39748 Metetra .425 .642 .948 r .56354 .39748 .5684 .40314 .57779 .40403 .57294 .39837 Metetra .393 .626 .947 r .57294 .39837 .57779 .40403 .58724 .40529 .5824 .39964 Metetra .356 .607 .944 r .5824 .39964 .58724 .40529 .59676 .40699 .59194 .40136 Metetra .311 .583 .939 r .59194 .40136 .59676 .40699 .60635 .40919 .60155 .40358 Metetra .257 .552 .929 r .60155 .40358 .60635 .40919 .61604 .41196 .61125 .40639 Metetra .191 .513 .914 r .61125 .40639 .61604 .41196 .62581 .4154 .62104 .40987 Metetra .111 .464 .89 r .62104 .40987 .62581 .4154 .63569 .4196 .63094 .41413 Metetra .014 .4 .853 r .63094 .41413 .63569 .4196 .64569 .4247 .64096 .41933 Metetra 0 .32 .797 r .64096 .41933 .64569 .4247 .65582 .43088 .6511 .42562 Metetra 0 .221 .719 r .6511 .42562 .65582 .43088 .66611 .43834 .66141 .43323 Metetra 0 .107 .616 r .66141 .43323 .66611 .43834 .67658 .44734 .6719 .44245 Metetra .511 .018 0 r .6719 .44245 .67658 .44734 .68726 .45822 .6826 .45364 Metetra .637 .142 0 r .6826 .45364 .68726 .45822 .6982 .47145 .69358 .46728 Metetra .74 .256 0 r .69358 .46728 .6982 .47145 .70946 .48761 .70488 .48402 Metetra .816 .351 0 r .70488 .48402 .70946 .48761 .72112 .50753 .71659 .50478 Metetra .771 .276 0 r .71659 .50478 .72112 .50753 .73297 .52726 .72825 .52155 Metetra .645 .763 .934 r .72825 .52155 .73297 .52726 .74342 .52418 .73874 .51844 Metetra .645 .763 .934 r .73874 .51844 .74342 .52418 .75392 .52108 .74927 .51532 Metetra .645 .763 .934 r .74927 .51532 .75392 .52108 .76446 .51796 .75984 .51219 Metetra .645 .763 .934 r .75984 .51219 .76446 .51796 .77505 .51484 .77045 .50904 Metetra .645 .763 .934 r .77045 .50904 .77505 .51484 .78567 .5117 .7811 .50588 Metetra .645 .763 .934 r .7811 .50588 .78567 .5117 .79633 .50855 .79179 .50271 Metetra .645 .763 .934 r .79179 .50271 .79633 .50855 .80704 .50539 .80253 .49952 Metetra .645 .763 .934 r .80253 .49952 .80704 .50539 .81778 .50222 .8133 .49633 Metetra .645 .763 .934 r .8133 .49633 .81778 .50222 .82857 .49903 .82412 .49312 Metetra .645 .763 .934 r .82412 .49312 .82857 .49903 .8394 .49584 .83499 .4899 Metetra .645 .763 .934 r .83499 .4899 .8394 .49584 .85028 .49262 .84589 .48666 Metetra .981 .688 .355 r .84589 .48666 .85028 .49262 .83784 .27168 .83384 .26667 Metetra .664 .741 .908 r .25425 .45366 .25973 .45876 .26791 .456 .26245 .45088 Metetra .664 .741 .908 r .26245 .45088 .26791 .456 .27611 .45323 .27067 .4481 Metetra .664 .741 .908 r .27067 .4481 .27611 .45323 .28435 .45046 .27892 .44531 Metetra .663 .741 .908 r .27892 .44531 .28435 .45046 .29261 .44768 .2872 .44251 Metetra .66 .74 .909 r .2872 .44251 .29261 .44768 .30089 .445 .2955 .43977 Metetra .647 .735 .913 r .2955 .43977 .30089 .445 .30914 .44308 .3038 .43729 Metetra .648 .715 .897 r .3038 .43729 .30914 .44308 .3175 .44013 .31214 .4348 Metetra .649 .733 .91 r .31214 .4348 .3175 .44013 .32585 .43756 .32051 .43227 Metetra .648 .735 .913 r .32051 .43227 .32585 .43756 .33424 .43506 .32891 .42976 Metetra .646 .735 .914 r .32891 .42976 .33424 .43506 .34265 .4326 .33733 .42728 Metetra .643 .734 .915 r .33733 .42728 .34265 .4326 .35108 .43017 .34579 .42485 Metetra .641 .733 .916 r .34579 .42485 .35108 .43017 .35955 .4278 .35427 .42245 Metetra .638 .733 .917 r .35427 .42245 .35955 .4278 .36804 .42546 .36278 .4201 Metetra .635 .732 .918 r .36278 .4201 .36804 .42546 .37656 .42318 .37131 .4178 Metetra .632 .731 .919 r .37131 .4178 .37656 .42318 .38511 .42095 .37988 .41555 Metetra .629 .73 .92 r .37988 .41555 .38511 .42095 .39369 .41878 .38848 .41336 Metetra .626 .729 .921 r .38848 .41336 .39369 .41878 .4023 .41666 .39711 .41123 Metetra .622 .727 .922 r .39711 .41123 .4023 .41666 .41095 .41461 .40577 .40916 Metetra .618 .726 .923 r .40577 .40916 .41095 .41461 .41962 .41263 .41446 .40716 Metetra .613 .725 .925 r .41446 .40716 .41962 .41263 .42833 .41072 .42318 .40524 Metetra .609 .723 .926 r .42318 .40524 .42833 .41072 .43707 .4089 .43194 .4034 Metetra .604 .721 .928 r .43194 .4034 .43707 .4089 .44584 .40716 .44073 .40164 Metetra .598 .719 .929 r .44073 .40164 .44584 .40716 .45465 .40552 .44955 .39998 Metetra .592 .717 .931 r .44955 .39998 .45465 .40552 .46349 .40398 .45841 .39843 Metetra .585 .714 .932 r .45841 .39843 .46349 .40398 .47237 .40255 .46731 .39698 Metetra .577 .711 .934 r .46731 .39698 .47237 .40255 .48129 .40124 .47625 .39566 Metetra .569 .708 .936 r .47625 .39566 .48129 .40124 .49025 .40007 .48522 .39447 Metetra .56 .704 .937 r .48522 .39447 .49025 .40007 .49925 .39904 .49424 .39343 Metetra .55 .7 .939 r .49424 .39343 .49925 .39904 .50829 .39818 .50329 .39255 Metetra .538 .695 .941 r .50329 .39255 .50829 .39818 .51737 .39749 .5124 .39185 Metetra .525 .689 .943 r .5124 .39185 .51737 .39749 .5265 .397 .52154 .39135 Metetra .51 .683 .944 r .52154 .39135 .5265 .397 .53568 .39673 .53074 .39106 Metetra .493 .675 .946 r .53074 .39106 .53568 .39673 .54491 .3967 .53998 .39102 Metetra .473 .666 .947 r .53998 .39102 .54491 .3967 .5542 .39694 .54928 .39125 Metetra .45 .655 .948 r .54928 .39125 .5542 .39694 .56354 .39748 .55864 .39179 Metetra .424 .642 .948 r .55864 .39179 .56354 .39748 .57294 .39837 .56806 .39267 Metetra .393 .626 .946 r .56806 .39267 .57294 .39837 .5824 .39964 .57754 .39394 Metetra .355 .606 .943 r .57754 .39394 .5824 .39964 .59194 .40136 .58709 .39566 Metetra .311 .581 .938 r .58709 .39566 .59194 .40136 .60155 .40358 .59672 .39789 Metetra .257 .551 .928 r .59672 .39789 .60155 .40358 .61125 .40639 .60643 .4007 Metetra .193 .512 .913 r .60643 .4007 .61125 .40639 .62104 .40987 .61624 .4042 Metetra .115 .462 .889 r .61624 .4042 .62104 .40987 .63094 .41413 .62615 .40849 Metetra .022 .4 .854 r .62615 .40849 .63094 .41413 .64096 .41933 .63618 .41373 Metetra 0 .322 .801 r .63618 .41373 .64096 .41933 .6511 .42562 .64634 .42008 Metetra 0 .227 .728 r .64634 .42008 .6511 .42562 .66141 .43323 .65666 .42777 Metetra 0 .116 .632 r .65666 .42777 .66141 .43323 .6719 .44245 .66716 .4371 Metetra 0 0 .514 r .66716 .4371 .6719 .44245 .6826 .45364 .67789 .44844 Metetra .61 .128 0 r .67789 .44844 .6826 .45364 .69358 .46728 .68888 .4623 Metetra .715 .241 0 r .68888 .4623 .69358 .46728 .70488 .48402 .7002 .47935 Metetra .797 .339 0 r .7002 .47935 .70488 .48402 .71659 .50478 .71194 .50056 Metetra .685 .189 0 r .71194 .50056 .71659 .50478 .72825 .52155 .72351 .5158 Metetra .645 .763 .934 r .72351 .5158 .72825 .52155 .73874 .51844 .73402 .51267 Metetra .645 .763 .934 r .73402 .51267 .73874 .51844 .74927 .51532 .74458 .50952 Metetra .645 .763 .934 r .74458 .50952 .74927 .51532 .75984 .51219 .75518 .50637 Metetra .645 .763 .934 r .75518 .50637 .75984 .51219 .77045 .50904 .76582 .5032 Metetra .645 .763 .934 r .76582 .5032 .77045 .50904 .7811 .50588 .7765 .50001 Metetra .645 .763 .934 r .7765 .50001 .7811 .50588 .79179 .50271 .78722 .49682 Metetra .645 .763 .934 r .78722 .49682 .79179 .50271 .80253 .49952 .79799 .49361 Metetra .645 .763 .934 r .79799 .49361 .80253 .49952 .8133 .49633 .80879 .49039 Metetra .645 .763 .934 r .80879 .49039 .8133 .49633 .82412 .49312 .81964 .48716 Metetra .645 .763 .934 r .81964 .48716 .82412 .49312 .83499 .4899 .83054 .48392 Metetra .645 .763 .934 r .83054 .48392 .83499 .4899 .84589 .48666 .84147 .48066 Metetra .982 .691 .362 r .84147 .48066 .84589 .48666 .83384 .26667 .83214 .28379 Metetra .664 .741 .908 r .24874 .44853 .25425 .45366 .26245 .45088 .25695 .44574 Metetra .664 .741 .908 r .25695 .44574 .26245 .45088 .27067 .4481 .26519 .44293 Metetra .664 .741 .908 r .26519 .44293 .27067 .4481 .27892 .44531 .27346 .44012 Metetra .663 .741 .908 r .27346 .44012 .27892 .44531 .2872 .44251 .28175 .43731 Metetra .66 .74 .909 r .28175 .43731 .2872 .44251 .2955 .43977 .29007 .43455 Metetra .647 .737 .915 r .29007 .43455 .2955 .43977 .3038 .43729 .29839 .43206 Metetra .648 .737 .914 r .29839 .43206 .3038 .43729 .31214 .4348 .30674 .42955 Metetra .649 .737 .914 r .30674 .42955 .31214 .4348 .32051 .43227 .31513 .427 Metetra .648 .737 .914 r .31513 .427 .32051 .43227 .32891 .42976 .32354 .42447 Metetra .646 .736 .915 r .32354 .42447 .32891 .42976 .33733 .42728 .33199 .42198 Metetra .643 .736 .916 r .33199 .42198 .33733 .42728 .34579 .42485 .34045 .41953 Metetra .641 .735 .917 r .34045 .41953 .34579 .42485 .35427 .42245 .34895 .41711 Metetra .638 .734 .918 r .34895 .41711 .35427 .42245 .36278 .4201 .35748 .41475 Metetra .635 .733 .919 r .35748 .41475 .36278 .4201 .37131 .4178 .36603 .41243 Metetra .632 .732 .92 r .36603 .41243 .37131 .4178 .37988 .41555 .37462 .41017 Metetra .629 .731 .921 r .37462 .41017 .37988 .41555 .38848 .41336 .38323 .40796 Metetra .625 .73 .922 r .38323 .40796 .38848 .41336 .39711 .41123 .39188 .40581 Metetra .622 .729 .923 r .39188 .40581 .39711 .41123 .40577 .40916 .40055 .40372 Metetra .618 .728 .925 r .40055 .40372 .40577 .40916 .41446 .40716 .40926 .40171 Metetra .613 .726 .926 r .40926 .40171 .41446 .40716 .42318 .40524 .418 .39977 Metetra .608 .724 .927 r .418 .39977 .42318 .40524 .43194 .4034 .42677 .39791 Metetra .603 .723 .929 r .42677 .39791 .43194 .4034 .44073 .40164 .43558 .39613 Metetra .598 .72 .93 r .43558 .39613 .44073 .40164 .44955 .39998 .44442 .39446 Metetra .591 .718 .932 r .44442 .39446 .44955 .39998 .45841 .39843 .4533 .39288 Metetra .585 .716 .933 r .4533 .39288 .45841 .39843 .46731 .39698 .46222 .39142 Metetra .577 .713 .935 r .46222 .39142 .46731 .39698 .47625 .39566 .47117 .39008 Metetra .569 .709 .937 r .47117 .39008 .47625 .39566 .48522 .39447 .48016 .38888 Metetra .559 .706 .938 r .48016 .38888 .48522 .39447 .49424 .39343 .48919 .38782 Metetra .549 .701 .94 r .48919 .38782 .49424 .39343 .50329 .39255 .49827 .38692 Metetra .537 .696 .942 r .49827 .38692 .50329 .39255 .5124 .39185 .50739 .38621 Metetra .524 .69 .944 r .50739 .38621 .5124 .39185 .52154 .39135 .51655 .38569 Metetra .509 .684 .945 r .51655 .38569 .52154 .39135 .53074 .39106 .52576 .38538 Metetra .492 .676 .946 r .52576 .38538 .53074 .39106 .53998 .39102 .53502 .38533 Metetra .473 .667 .948 r .53502 .38533 .53998 .39102 .54928 .39125 .54434 .38554 Metetra .45 .655 .948 r .54434 .38554 .54928 .39125 .55864 .39179 .55371 .38606 Metetra .424 .642 .948 r .55371 .38606 .55864 .39179 .56806 .39267 .56314 .38693 Metetra .393 .626 .946 r .56314 .38693 .56806 .39267 .57754 .39394 .57264 .38819 Metetra .356 .606 .943 r .57264 .38819 .57754 .39394 .58709 .39566 .58221 .38989 Metetra .313 .581 .937 r .58221 .38989 .58709 .39566 .59672 .39789 .59185 .39211 Metetra .261 .55 .928 r .59185 .39211 .59672 .39789 .60643 .4007 .60158 .39491 Metetra .198 .512 .913 r .60158 .39491 .60643 .4007 .61624 .4042 .6114 .3984 Metetra .124 .464 .89 r .6114 .3984 .61624 .4042 .62615 .40849 .62132 .40268 Metetra .035 .403 .856 r .62132 .40268 .62615 .40849 .63618 .41373 .63137 .4079 Metetra 0 .328 .808 r .63137 .4079 .63618 .41373 .64634 .42008 .64154 .41425 Metetra 0 .237 .741 r .64154 .41425 .64634 .42008 .65666 .42777 .65187 .42194 Metetra 0 .132 .653 r .65187 .42194 .65666 .42777 .66716 .4371 .66238 .43126 Metetra 0 .016 .546 r .66238 .43126 .66716 .4371 .67789 .44844 .67311 .4426 Metetra .569 .102 0 r .67311 .4426 .67789 .44844 .68888 .4623 .6841 .45647 Metetra .676 .215 0 r .6841 .45647 .68888 .4623 .7002 .47935 .69542 .47353 Metetra .763 .315 0 r .69542 .47353 .7002 .47935 .71194 .50056 .70716 .49476 Metetra .599 .132 0 r .70716 .49476 .71194 .50056 .72351 .5158 .71873 .51001 Metetra .645 .763 .934 r .71873 .51001 .72351 .5158 .73402 .51267 .72927 .50685 Metetra .645 .763 .934 r .72927 .50685 .73402 .51267 .74458 .50952 .73986 .50369 Metetra .645 .763 .934 r .73986 .50369 .74458 .50952 .75518 .50637 .75049 .50051 Metetra .645 .763 .934 r .75049 .50051 .75518 .50637 .76582 .5032 .76116 .49731 Metetra .645 .763 .934 r .76116 .49731 .76582 .5032 .7765 .50001 .77187 .49411 Metetra .645 .763 .934 r .77187 .49411 .7765 .50001 .78722 .49682 .78262 .49089 Metetra .645 .763 .934 r .78262 .49089 .78722 .49682 .79799 .49361 .79341 .48766 Metetra .645 .763 .934 r .79341 .48766 .79799 .49361 .80879 .49039 .80425 .48442 Metetra .645 .763 .934 r .80425 .48442 .80879 .49039 .81964 .48716 .81513 .48116 Metetra .645 .763 .934 r .81513 .48116 .81964 .48716 .83054 .48392 .82605 .47789 Metetra .645 .763 .934 r .82605 .47789 .83054 .48392 .84147 .48066 .83702 .47461 Metetra .982 .691 .362 r .83702 .47461 .84147 .48066 .83214 .28379 .82792 .27743 Metetra .664 .741 .908 r .2432 .44337 .24874 .44853 .25695 .44574 .25142 .44056 Metetra .664 .741 .908 r .25142 .44056 .25695 .44574 .26519 .44293 .25968 .43774 Metetra .664 .741 .908 r .25968 .43774 .26519 .44293 .27346 .44012 .26796 .43491 Metetra .663 .741 .908 r .26796 .43491 .27346 .44012 .28175 .43731 .27627 .43208 Metetra .658 .74 .91 r .27627 .43208 .28175 .43731 .29007 .43455 .2846 .42935 Metetra .619 .731 .926 r .2846 .42935 .29007 .43455 .29839 .43206 .2929 .42738 Metetra .67 .767 .923 r .2929 .42738 .29839 .43206 .30674 .42955 .3013 .42438 Metetra .652 .743 .916 r .3013 .42438 .30674 .42955 .31513 .427 .30971 .42176 Metetra .648 .74 .916 r .30971 .42176 .31513 .427 .32354 .42447 .31814 .4192 Metetra .646 .738 .917 r .31814 .4192 .32354 .42447 .33199 .42198 .3266 .41669 Metetra .643 .738 .917 r .3266 .41669 .33199 .42198 .34045 .41953 .33509 .41422 Metetra .641 .737 .918 r .33509 .41422 .34045 .41953 .34895 .41711 .3436 .41179 Metetra .638 .736 .919 r .3436 .41179 .34895 .41711 .35748 .41475 .35214 .4094 Metetra .635 .735 .92 r .35214 .4094 .35748 .41475 .36603 .41243 .36072 .40707 Metetra .632 .734 .921 r .36072 .40707 .36603 .41243 .37462 .41017 .36932 .40478 Metetra .629 .733 .922 r .36932 .40478 .37462 .41017 .38323 .40796 .37795 .40256 Metetra .625 .732 .924 r .37795 .40256 .38323 .40796 .39188 .40581 .38661 .40039 Metetra .621 .731 .925 r .38661 .40039 .39188 .40581 .40055 .40372 .3953 .39829 Metetra .617 .729 .926 r .3953 .39829 .40055 .40372 .40926 .40171 .40403 .39625 Metetra .613 .728 .927 r .40403 .39625 .40926 .40171 .418 .39977 .41279 .3943 Metetra .608 .726 .929 r .41279 .3943 .418 .39977 .42677 .39791 .42158 .39242 Metetra .603 .724 .93 r .42158 .39242 .42677 .39791 .43558 .39613 .4304 .39063 Metetra .597 .722 .932 r .4304 .39063 .43558 .39613 .44442 .39446 .43926 .38893 Metetra .591 .72 .933 r .43926 .38893 .44442 .39446 .4533 .39288 .44815 .38734 Metetra .584 .717 .935 r .44815 .38734 .4533 .39288 .46222 .39142 .45709 .38586 Metetra .577 .714 .936 r .45709 .38586 .46222 .39142 .47117 .39008 .46606 .38451 Metetra .568 .711 .938 r .46606 .38451 .47117 .39008 .48016 .38888 .47507 .38328 Metetra .559 .707 .94 r .47507 .38328 .48016 .38888 .48919 .38782 .48412 .38221 Metetra .549 .702 .941 r .48412 .38221 .48919 .38782 .49827 .38692 .49321 .38129 Metetra .537 .697 .943 r .49321 .38129 .49827 .38692 .50739 .38621 .50234 .38055 Metetra .524 .692 .945 r .50234 .38055 .50739 .38621 .51655 .38569 .51152 .38001 Metetra .509 .685 .946 r .51152 .38001 .51655 .38569 .52576 .38538 .52075 .37969 Metetra .492 .677 .947 r .52075 .37969 .52576 .38538 .53502 .38533 .53003 .37962 Metetra .473 .667 .948 r .53003 .37962 .53502 .38533 .54434 .38554 .53936 .37981 Metetra .45 .656 .948 r .53936 .37981 .54434 .38554 .55371 .38606 .54875 .38031 Metetra .424 .642 .948 r .54875 .38031 .55371 .38606 .56314 .38693 .5582 .38115 Metetra .394 .626 .946 r .5582 .38115 .56314 .38693 .57264 .38819 .56771 .38238 Metetra .358 .606 .943 r .56771 .38238 .57264 .38819 .58221 .38989 .5773 .38406 Metetra .316 .582 .937 r .5773 .38406 .58221 .38989 .59185 .39211 .58695 .38624 Metetra .266 .551 .928 r .58695 .38624 .59185 .39211 .60158 .39491 .59669 .38901 Metetra .206 .514 .913 r .59669 .38901 .60158 .39491 .6114 .3984 .60653 .39245 Metetra .136 .467 .892 r .60653 .39245 .6114 .3984 .62132 .40268 .61646 .39669 Metetra .052 .409 .86 r .61646 .39669 .62132 .40268 .63137 .4079 .62651 .40185 Metetra 0 .338 .816 r .62651 .40185 .63137 .4079 .64154 .41425 .63669 .40813 Metetra 0 .253 .756 r .63669 .40813 .64154 .41425 .65187 .42194 .64703 .41573 Metetra 0 .154 .678 r .64703 .41573 .65187 .42194 .66238 .43126 .65754 .42493 Metetra 0 .046 .584 r .65754 .42493 .66238 .43126 .67311 .4426 .66826 .43612 Metetra 0 0 .476 r .66826 .43612 .67311 .4426 .6841 .45647 .67924 .44978 Metetra .621 .177 0 r .67924 .44978 .6841 .45647 .69542 .47353 .69055 .46655 Metetra .711 .277 0 r .69055 .46655 .69542 .47353 .70716 .49476 .70225 .48736 Metetra 0 0 .424 r .70225 .48736 .70716 .49476 .71873 .51001 .71392 .50417 Metetra .645 .763 .934 r .71392 .50417 .71873 .51001 .72927 .50685 .72449 .501 Metetra .645 .763 .934 r .72449 .501 .72927 .50685 .73986 .50369 .7351 .4978 Metetra .645 .763 .934 r .7351 .4978 .73986 .50369 .75049 .50051 .74576 .4946 Metetra .645 .763 .934 r .74576 .4946 .75049 .50051 .76116 .49731 .75646 .49139 Metetra .645 .763 .934 r .75646 .49139 .76116 .49731 .77187 .49411 .7672 .48816 Metetra .645 .763 .934 r .7672 .48816 .77187 .49411 .78262 .49089 .77798 .48492 Metetra .645 .763 .934 r .77798 .48492 .78262 .49089 .79341 .48766 .78881 .48166 Metetra .645 .763 .934 r .78881 .48166 .79341 .48766 .80425 .48442 .79967 .4784 Metetra .645 .763 .934 r .79967 .4784 .80425 .48442 .81513 .48116 .81058 .47512 Metetra .645 .763 .934 r .81058 .47512 .81513 .48116 .82605 .47789 .82154 .47182 Metetra .645 .763 .934 r .82154 .47182 .82605 .47789 .83702 .47461 .83254 .46852 Metetra .981 .688 .355 r .83254 .46852 .83702 .47461 .82792 .27743 .82127 .24749 Metetra .664 .741 .908 r .23762 .43817 .2432 .44337 .25142 .44056 .24586 .43535 Metetra .664 .741 .908 r .24586 .43535 .25142 .44056 .25968 .43774 .25413 .43251 Metetra .664 .741 .908 r .25413 .43251 .25968 .43774 .26796 .43491 .26243 .42966 Metetra .663 .741 .908 r .26243 .42966 .26796 .43491 .27627 .43208 .27076 .42682 Metetra .66 .74 .91 r .27076 .42682 .27627 .43208 .2846 .42935 .2791 .42404 Metetra .643 .735 .915 r .2791 .42404 .2846 .42935 .2929 .42738 .28745 .42159 Metetra .645 .718 .901 r .28745 .42159 .2929 .42738 .3013 .42438 .29584 .41911 Metetra .65 .739 .915 r .29584 .41911 .3013 .42438 .30971 .42176 .30426 .41651 Metetra .648 .741 .917 r .30426 .41651 .30971 .42176 .31814 .4192 .3127 .41394 Metetra .646 .74 .918 r .3127 .41394 .31814 .4192 .3266 .41669 .32118 .41141 Metetra .643 .739 .919 r .32118 .41141 .3266 .41669 .33509 .41422 .32968 .40891 Metetra .641 .738 .92 r .32968 .40891 .33509 .41422 .3436 .41179 .33821 .40646 Metetra .638 .737 .92 r .33821 .40646 .3436 .41179 .35214 .4094 .34677 .40406 Metetra .635 .737 .922 r .34677 .40406 .35214 .4094 .36072 .40707 .35536 .40171 Metetra .632 .736 .923 r .35536 .40171 .36072 .40707 .36932 .40478 .36398 .39941 Metetra .629 .735 .924 r .36398 .39941 .36932 .40478 .37795 .40256 .37263 .39716 Metetra .625 .733 .925 r .37263 .39716 .37795 .40256 .38661 .40039 .38131 .39498 Metetra .621 .732 .926 r .38131 .39498 .38661 .40039 .3953 .39829 .39002 .39286 Metetra .617 .731 .927 r .39002 .39286 .3953 .39829 .40403 .39625 .39876 .39081 Metetra .613 .729 .929 r .39876 .39081 .40403 .39625 .41279 .3943 .40754 .38883 Metetra .608 .727 .93 r .40754 .38883 .41279 .3943 .42158 .39242 .41634 .38694 Metetra .603 .726 .931 r .41634 .38694 .42158 .39242 .4304 .39063 .42519 .38513 Metetra .597 .723 .933 r .42519 .38513 .4304 .39063 .43926 .38893 .43406 .38342 Metetra .591 .721 .934 r .43406 .38342 .43926 .38893 .44815 .38734 .44297 .38181 Metetra .584 .718 .936 r .44297 .38181 .44815 .38734 .45709 .38586 .45192 .38031 Metetra .576 .715 .937 r .45192 .38031 .45709 .38586 .46606 .38451 .46091 .37893 Metetra .568 .712 .939 r .46091 .37893 .46606 .38451 .47507 .38328 .46994 .37769 Metetra .559 .708 .941 r .46994 .37769 .47507 .38328 .48412 .38221 .479 .37659 Metetra .548 .704 .942 r .479 .37659 .48412 .38221 .49321 .38129 .48811 .37566 Metetra .537 .699 .944 r .48811 .37566 .49321 .38129 .50234 .38055 .49727 .3749 Metetra .524 .693 .945 r .49727 .3749 .50234 .38055 .51152 .38001 .50646 .37433 Metetra .509 .686 .947 r .50646 .37433 .51152 .38001 .52075 .37969 .51571 .37399 Metetra .492 .678 .948 r .51571 .37399 .52075 .37969 .53003 .37962 .525 .37388 Metetra .473 .668 .949 r .525 .37388 .53003 .37962 .53936 .37981 .53435 .37405 Metetra .451 .657 .949 r .53435 .37405 .53936 .37981 .54875 .38031 .54376 .37452 Metetra .425 .643 .948 r .54376 .37452 .54875 .38031 .5582 .38115 .55322 .37533 Metetra .396 .627 .946 r .55322 .37533 .5582 .38115 .56771 .38238 .56275 .37652 Metetra .361 .607 .943 r .56275 .37652 .56771 .38238 .5773 .38406 .57235 .37815 Metetra .321 .583 .937 r .57235 .37815 .5773 .38406 .58695 .38624 .58202 .38029 Metetra .273 .554 .928 r .58202 .38029 .58695 .38624 .59669 .38901 .59177 .383 Metetra .217 .517 .914 r .59177 .383 .59669 .38901 .60653 .39245 .60162 .38637 Metetra .15 .472 .894 r .60162 .38637 .60653 .39245 .61646 .39669 .61156 .39052 Metetra .073 .418 .866 r .61156 .39052 .61646 .39669 .62651 .40185 .62162 .39558 Metetra 0 .351 .826 r .62162 .39558 .62651 .40185 .63669 .40813 .63181 .40172 Metetra 0 .272 .773 r .63181 .40172 .63669 .40813 .64703 .41573 .64214 .40915 Metetra 0 .182 .705 r .64214 .40915 .64703 .41573 .65754 .42493 .65265 .41813 Metetra 0 .081 .623 r .65265 .41813 .65754 .42493 .66826 .43612 .66336 .42902 Metetra 0 0 .53 r .66336 .42902 .66826 .43612 .67924 .44978 .67432 .44227 Metetra 0 0 .43 r .67432 .44227 .67924 .44978 .69055 .46655 .68559 .45848 Metetra .638 .224 0 r .68559 .45848 .69055 .46655 .70225 .48736 .69723 .47848 Metetra 0 0 .389 r .69723 .47848 .70225 .48736 .71392 .50417 .70907 .4983 Metetra .645 .763 .934 r .70907 .4983 .71392 .50417 .72449 .501 .71967 .4951 Metetra .645 .763 .934 r .71967 .4951 .72449 .501 .7351 .4978 .73031 .49188 Metetra .645 .763 .934 r .73031 .49188 .7351 .4978 .74576 .4946 .741 .48866 Metetra .645 .763 .934 r .741 .48866 .74576 .4946 .75646 .49139 .75173 .48542 Metetra .645 .763 .934 r .75173 .48542 .75646 .49139 .7672 .48816 .7625 .48216 Metetra .645 .763 .934 r .7625 .48216 .7672 .48816 .77798 .48492 .77331 .4789 Metetra .645 .763 .934 r .77331 .4789 .77798 .48492 .78881 .48166 .78416 .47562 Metetra .645 .763 .934 r .78416 .47562 .78881 .48166 .79967 .4784 .79506 .47233 Metetra .645 .763 .934 r .79506 .47233 .79967 .4784 .81058 .47512 .806 .46903 Metetra .645 .763 .934 r .806 .46903 .81058 .47512 .82154 .47182 .81699 .46571 Metetra .645 .763 .934 r .81699 .46571 .82154 .47182 .83254 .46852 .82802 .46238 Metetra .981 .688 .355 r .82802 .46238 .83254 .46852 .82127 .24749 .81689 .23972 Metetra .664 .741 .908 r .23201 .43295 .23762 .43817 .24586 .43535 .24027 .4301 Metetra .664 .741 .908 r .24027 .4301 .24586 .43535 .25413 .43251 .24855 .42725 Metetra .664 .741 .908 r .24855 .42725 .25413 .43251 .26243 .42966 .25687 .42438 Metetra .663 .741 .908 r .25687 .42438 .26243 .42966 .27076 .42682 .26521 .42152 Metetra .658 .74 .91 r .26521 .42152 .27076 .42682 .2791 .42404 .27357 .41875 Metetra .624 .731 .924 r .27357 .41875 .2791 .42404 .28745 .42159 .28191 .41667 Metetra .656 .755 .923 r .28191 .41667 .28745 .42159 .29584 .41911 .29032 .41393 Metetra .651 .745 .918 r .29032 .41393 .29584 .41911 .30426 .41651 .29876 .41128 Metetra .648 .742 .918 r .29876 .41128 .30426 .41651 .3127 .41394 .30723 .40868 Metetra .646 .742 .919 r .30723 .40868 .3127 .41394 .32118 .41141 .31572 .40613 Metetra .643 .741 .92 r .31572 .40613 .32118 .41141 .32968 .40891 .32424 .40362 Metetra .641 .74 .921 r .32424 .40362 .32968 .40891 .33821 .40646 .33279 .40115 Metetra .638 .739 .922 r .33279 .40115 .33821 .40646 .34677 .40406 .34137 .39873 Metetra .635 .738 .923 r .34137 .39873 .34677 .40406 .35536 .40171 .34997 .39636 Metetra .632 .737 .924 r .34997 .39636 .35536 .40171 .36398 .39941 .35861 .39404 Metetra .628 .736 .925 r .35861 .39404 .36398 .39941 .37263 .39716 .36728 .39178 Metetra .625 .735 .926 r .36728 .39178 .37263 .39716 .38131 .39498 .37597 .38957 Metetra .621 .734 .927 r .37597 .38957 .38131 .39498 .39002 .39286 .3847 .38744 Metetra .617 .732 .928 r .3847 .38744 .39002 .39286 .39876 .39081 .39346 .38537 Metetra .612 .731 .93 r .39346 .38537 .39876 .39081 .40754 .38883 .40225 .38337 Metetra .608 .729 .931 r .40225 .38337 .40754 .38883 .41634 .38694 .41108 .38146 Metetra .602 .727 .933 r .41108 .38146 .41634 .38694 .42519 .38513 .41994 .37963 Metetra .597 .725 .934 r .41994 .37963 .42519 .38513 .43406 .38342 .42883 .3779 Metetra .59 .723 .935 r .42883 .3779 .43406 .38342 .44297 .38181 .43776 .37627 Metetra .583 .72 .937 r .43776 .37627 .44297 .38181 .45192 .38031 .44673 .37475 Metetra .576 .717 .939 r .44673 .37475 .45192 .38031 .46091 .37893 .45573 .37336 Metetra .568 .713 .94 r .45573 .37336 .46091 .37893 .46994 .37769 .46478 .37209 Metetra .558 .71 .942 r .46478 .37209 .46994 .37769 .479 .37659 .47386 .37097 Metetra .548 .705 .943 r .47386 .37097 .479 .37659 .48811 .37566 .48299 .37001 Metetra .536 .7 .945 r .48299 .37001 .48811 .37566 .49727 .3749 .49216 .36923 Metetra .524 .694 .946 r .49216 .36923 .49727 .3749 .50646 .37433 .50137 .36864 Metetra .509 .687 .947 r .50137 .36864 .50646 .37433 .51571 .37399 .51063 .36827 Metetra .492 .679 .948 r .51063 .36827 .51571 .37399 .525 .37388 .51995 .36813 Metetra .474 .669 .949 r .51995 .36813 .525 .37388 .53435 .37405 .52931 .36827 Metetra .452 .658 .949 r .52931 .36827 .53435 .37405 .54376 .37452 .53873 .3687 Metetra .427 .645 .948 r .53873 .3687 .54376 .37452 .55322 .37533 .54821 .36946 Metetra .399 .628 .946 r .54821 .36946 .55322 .37533 .56275 .37652 .55775 .37061 Metetra .365 .609 .943 r .55775 .37061 .56275 .37652 .57235 .37815 .56737 .37219 Metetra .327 .585 .937 r .56737 .37219 .57235 .37815 .58202 .38029 .57705 .37425 Metetra .281 .557 .929 r .57705 .37425 .58202 .38029 .59177 .383 .58682 .37688 Metetra .229 .522 .916 r .58682 .37688 .59177 .383 .60162 .38637 .59667 .38016 Metetra .167 .48 .897 r .59667 .38016 .60162 .38637 .61156 .39052 .60663 .38418 Metetra .096 .428 .871 r .60663 .38418 .61156 .39052 .62162 .39558 .61669 .38909 Metetra .016 .367 .836 r .61669 .38909 .62162 .39558 .63181 .40172 .62688 .39504 Metetra 0 .295 .79 r .62688 .39504 .63181 .40172 .64214 .40915 .63721 .40222 Metetra 0 .212 .733 r .63721 .40222 .64214 .40915 .65265 .41813 .64771 .41089 Metetra 0 .122 .663 r .64771 .41089 .65265 .41813 .66336 .42902 .65841 .42135 Metetra 0 .027 .584 r .65841 .42135 .66336 .42902 .67432 .44227 .66934 .43401 Metetra 0 0 .5 r .66934 .43401 .67432 .44227 .68559 .45848 .68055 .44942 Metetra 0 0 .416 r .68055 .44942 .68559 .45848 .69723 .47848 .69212 .46828 Metetra 0 0 .338 r .69212 .46828 .69723 .47848 .70907 .4983 .70414 .49158 Metetra .614 .721 .921 r .70414 .49158 .70907 .4983 .71967 .4951 .71482 .48915 Metetra .645 .763 .934 r .71482 .48915 .71967 .4951 .73031 .49188 .72549 .48592 Metetra .645 .763 .934 r .72549 .48592 .73031 .49188 .741 .48866 .7362 .48267 Metetra .645 .763 .934 r .7362 .48267 .741 .48866 .75173 .48542 .74696 .4794 Metetra .645 .763 .934 r .74696 .4794 .75173 .48542 .7625 .48216 .75776 .47613 Metetra .645 .763 .934 r .75776 .47613 .7625 .48216 .77331 .4789 .7686 .47284 Metetra .645 .763 .934 r .7686 .47284 .77331 .4789 .78416 .47562 .77949 .46954 Metetra .645 .763 .934 r .77949 .46954 .78416 .47562 .79506 .47233 .79042 .46622 Metetra .645 .763 .934 r .79042 .46622 .79506 .47233 .806 .46903 .80139 .46289 Metetra .645 .763 .934 r .80139 .46289 .806 .46903 .81699 .46571 .81241 .45955 Metetra .645 .763 .934 r .81241 .45955 .81699 .46571 .82802 .46238 .82347 .4562 Metetra .981 .688 .355 r .82347 .4562 .82802 .46238 .81689 .23972 .8126 .23308 Metetra .664 .741 .908 r .22636 .42769 .23201 .43295 .24027 .4301 .23463 .42483 Metetra .664 .741 .908 r .23463 .42483 .24027 .4301 .24855 .42725 .24294 .42195 Metetra .664 .741 .908 r .24294 .42195 .24855 .42725 .25687 .42438 .25127 .41907 Metetra .663 .741 .908 r .25127 .41907 .25687 .42438 .26521 .42152 .25963 .41619 Metetra .658 .74 .91 r .25963 .41619 .26521 .42152 .27357 .41875 .26801 .41341 Metetra .624 .73 .923 r .26801 .41341 .27357 .41875 .28191 .41667 .27636 .41131 Metetra .65 .738 .914 r .27636 .41131 .28191 .41667 .29032 .41393 .28478 .40868 Metetra .65 .743 .917 r .28478 .40868 .29032 .41393 .29876 .41128 .29324 .40603 Metetra .648 .743 .919 r .29324 .40603 .29876 .41128 .30723 .40868 .30172 .40342 Metetra .646 .743 .92 r .30172 .40342 .30723 .40868 .31572 .40613 .31023 .40085 Metetra .643 .742 .921 r .31023 .40085 .31572 .40613 .32424 .40362 .31876 .39832 Metetra .641 .741 .922 r .31876 .39832 .32424 .40362 .33279 .40115 .32733 .39584 Metetra .638 .741 .923 r .32733 .39584 .33279 .40115 .34137 .39873 .33592 .3934 Metetra .635 .74 .924 r .33592 .3934 .34137 .39873 .34997 .39636 .34455 .39101 Metetra .632 .739 .925 r .34455 .39101 .34997 .39636 .35861 .39404 .3532 .38867 Metetra .628 .738 .926 r .3532 .38867 .35861 .39404 .36728 .39178 .36188 .38639 Metetra .625 .736 .927 r .36188 .38639 .36728 .39178 .37597 .38957 .3706 .38417 Metetra .621 .735 .928 r .3706 .38417 .37597 .38957 .3847 .38744 .37934 .38202 Metetra .617 .734 .93 r .37934 .38202 .3847 .38744 .39346 .38537 .38812 .37993 Metetra .612 .732 .931 r .38812 .37993 .39346 .38537 .40225 .38337 .39693 .37792 Metetra .607 .731 .932 r .39693 .37792 .40225 .38337 .41108 .38146 .40577 .37599 Metetra .602 .729 .934 r .40577 .37599 .41108 .38146 .41994 .37963 .41465 .37414 Metetra .596 .726 .935 r .41465 .37414 .41994 .37963 .42883 .3779 .42356 .37239 Metetra .59 .724 .937 r .42356 .37239 .42883 .3779 .43776 .37627 .43251 .37074 Metetra .583 .721 .938 r .43251 .37074 .43776 .37627 .44673 .37475 .44149 .3692 Metetra .576 .718 .94 r .44149 .3692 .44673 .37475 .45573 .37336 .45052 .36778 Metetra .567 .715 .941 r .45052 .36778 .45573 .37336 .46478 .37209 .45958 .3665 Metetra .558 .711 .943 r .45958 .3665 .46478 .37209 .47386 .37097 .46868 .36535 Metetra .548 .707 .944 r .46868 .36535 .47386 .37097 .48299 .37001 .47782 .36437 Metetra .536 .701 .946 r .47782 .36437 .48299 .37001 .49216 .36923 .48701 .36356 Metetra .524 .695 .947 r .48701 .36356 .49216 .36923 .50137 .36864 .49624 .36294 Metetra .509 .688 .948 r .49624 .36294 .50137 .36864 .51063 .36827 .50552 .36254 Metetra .493 .68 .949 r .50552 .36254 .51063 .36827 .51995 .36813 .51485 .36237 Metetra .475 .671 .95 r .51485 .36237 .51995 .36813 .52931 .36827 .52423 .36246 Metetra .454 .66 .949 r .52423 .36246 .52931 .36827 .53873 .3687 .53367 .36284 Metetra .43 .646 .949 r .53367 .36284 .53873 .3687 .54821 .36946 .54317 .36356 Metetra .402 .63 .947 r .54317 .36356 .54821 .36946 .55775 .37061 .55272 .36465 Metetra .37 .611 .943 r .55272 .36465 .55775 .37061 .56737 .37219 .56235 .36615 Metetra .334 .589 .938 r .56235 .36615 .56737 .37219 .57705 .37425 .57205 .36813 Metetra .291 .561 .929 r .57205 .36813 .57705 .37425 .58682 .37688 .58183 .37066 Metetra .242 .528 .917 r .58183 .37066 .58682 .37688 .59667 .38016 .59169 .37381 Metetra .186 .488 .9 r .59169 .37381 .59667 .38016 .60663 .38418 .60165 .37769 Metetra .122 .44 .877 r .60165 .37769 .60663 .38418 .61669 .38909 .61172 .38241 Metetra .049 .384 .847 r .61172 .38241 .61669 .38909 .62688 .39504 .62191 .38812 Metetra 0 .319 .807 r .62191 .38812 .62688 .39504 .63721 .40222 .63224 .39499 Metetra 0 .245 .758 r .63224 .39499 .63721 .40222 .64771 .41089 .64273 .40325 Metetra 0 .165 .7 r .64273 .40325 .64771 .41089 .65841 .42135 .65341 .41317 Metetra 0 .08 .635 r .65341 .41317 .65841 .42135 .66934 .43401 .6643 .42512 Metetra 0 0 .566 r .6643 .42512 .66934 .43401 .68055 .44942 .67546 .43954 Metetra 0 0 .497 r .67546 .43954 .68055 .44942 .69212 .46828 .68694 .45703 Metetra 0 0 .434 r .68694 .45703 .69212 .46828 .70414 .49158 .69882 .47838 Metetra .383 .436 .792 r .69882 .47838 .70414 .49158 .71482 .48915 .70993 .48317 Metetra .645 .763 .934 r .70993 .48317 .71482 .48915 .72549 .48592 .72063 .47991 Metetra .645 .763 .934 r .72063 .47991 .72549 .48592 .7362 .48267 .73137 .47663 Metetra .645 .763 .934 r .73137 .47663 .7362 .48267 .74696 .4794 .74216 .47335 Metetra .645 .763 .934 r .74216 .47335 .74696 .4794 .75776 .47613 .75299 .47005 Metetra .645 .763 .934 r .75299 .47005 .75776 .47613 .7686 .47284 .76386 .46673 Metetra .645 .763 .934 r .76386 .46673 .7686 .47284 .77949 .46954 .77478 .46341 Metetra .645 .763 .934 r .77478 .46341 .77949 .46954 .79042 .46622 .78574 .46007 Metetra .645 .763 .934 r .78574 .46007 .79042 .46622 .80139 .46289 .79674 .45671 Metetra .645 .763 .934 r .79674 .45671 .80139 .46289 .81241 .45955 .80779 .45335 Metetra .984 .704 .39 r .80779 .45335 .81241 .45955 .82347 .4562 .80593 .3137 Metetra .715 .461 .541 r .80593 .3137 .82347 .4562 .8126 .23308 .80829 .22648 Metetra .664 .741 .908 r .22068 .4224 .22636 .42769 .23463 .42483 .22897 .41952 Metetra .664 .741 .908 r .22897 .41952 .23463 .42483 .24294 .42195 .23729 .41663 Metetra .664 .741 .908 r .23729 .41663 .24294 .42195 .25127 .41907 .24564 .41373 Metetra .663 .741 .908 r .24564 .41373 .25127 .41907 .25963 .41619 .25401 .41083 Metetra .66 .74 .91 r .25401 .41083 .25963 .41619 .26801 .41341 .26241 .408 Metetra .634 .732 .919 r .26241 .408 .26801 .41341 .27636 .41131 .27079 .40569 Metetra .632 .724 .914 r .27079 .40569 .27636 .41131 .28478 .40868 .2792 .40343 Metetra .649 .744 .919 r .2792 .40343 .28478 .40868 .29324 .40603 .28767 .4008 Metetra .648 .745 .92 r .28767 .4008 .29324 .40603 .30172 .40342 .29617 .39817 Metetra .646 .744 .921 r .29617 .39817 .30172 .40342 .31023 .40085 .30469 .39558 Metetra .643 .744 .922 r .30469 .39558 .31023 .40085 .31876 .39832 .31325 .39303 Metetra .64 .743 .923 r .31325 .39303 .31876 .39832 .32733 .39584 .32183 .39053 Metetra .638 .742 .924 r .32183 .39053 .32733 .39584 .33592 .3934 .33044 .38807 Metetra .635 .741 .925 r .33044 .38807 .33592 .3934 .34455 .39101 .33908 .38567 Metetra .631 .74 .926 r .33908 .38567 .34455 .39101 .3532 .38867 .34775 .38331 Metetra .628 .739 .927 r .34775 .38331 .3532 .38867 .36188 .38639 .35646 .38101 Metetra .624 .738 .928 r .35646 .38101 .36188 .38639 .3706 .38417 .36519 .37878 Metetra .621 .737 .93 r .36519 .37878 .3706 .38417 .37934 .38202 .37395 .3766 Metetra .616 .735 .931 r .37395 .3766 .37934 .38202 .38812 .37993 .38274 .3745 Metetra .612 .734 .932 r .38274 .3745 .38812 .37993 .39693 .37792 .39157 .37247 Metetra .607 .732 .934 r .39157 .37247 .39693 .37792 .40577 .37599 .40043 .37051 Metetra .602 .73 .935 r .40043 .37051 .40577 .37599 .41465 .37414 .40933 .36865 Metetra .596 .728 .936 r .40933 .36865 .41465 .37414 .42356 .37239 .41826 .36688 Metetra .59 .726 .938 r .41826 .36688 .42356 .37239 .43251 .37074 .42722 .36521 Metetra .583 .723 .939 r .42722 .36521 .43251 .37074 .44149 .3692 .43623 .36365 Metetra .575 .72 .941 r .43623 .36365 .44149 .3692 .45052 .36778 .44527 .36221 Metetra .567 .716 .942 r .44527 .36221 .45052 .36778 .45958 .3665 .45435 .3609 Metetra .558 .712 .944 r .45435 .3609 .45958 .3665 .46868 .36535 .46347 .35973 Metetra .548 .708 .945 r .46347 .35973 .46868 .36535 .47782 .36437 .47263 .35872 Metetra .537 .703 .947 r .47263 .35872 .47782 .36437 .48701 .36356 .48183 .35788 Metetra .524 .697 .948 r .48183 .35788 .48701 .36356 .49624 .36294 .49108 .35723 Metetra .51 .69 .949 r .49108 .35723 .49624 .36294 .50552 .36254 .50038 .35679 Metetra .494 .682 .95 r .50038 .35679 .50552 .36254 .51485 .36237 .50972 .35658 Metetra .476 .672 .95 r .50972 .35658 .51485 .36237 .52423 .36246 .51912 .35663 Metetra .456 .661 .95 r .51912 .35663 .52423 .36246 .53367 .36284 .52858 .35696 Metetra .433 .648 .949 r .52858 .35696 .53367 .36284 .54317 .36356 .53809 .35762 Metetra .407 .633 .947 r .53809 .35762 .54317 .36356 .55272 .36465 .54766 .35863 Metetra .376 .614 .943 r .54766 .35863 .55272 .36465 .56235 .36615 .5573 .36006 Metetra .342 .592 .938 r .5573 .36006 .56235 .36615 .57205 .36813 .56701 .36194 Metetra .302 .566 .93 r .56701 .36194 .57205 .36813 .58183 .37066 .5768 .36435 Metetra .257 .535 .919 r .5768 .36435 .58183 .37066 .59169 .37381 .58668 .36736 Metetra .206 .498 .904 r .58668 .36736 .59169 .37381 .60165 .37769 .59665 .37106 Metetra .148 .454 .884 r .59665 .37106 .60165 .37769 .61172 .38241 .60672 .37555 Metetra .084 .403 .857 r .60672 .37555 .61172 .38241 .62191 .38812 .61691 .38098 Metetra .015 .344 .823 r .61691 .38098 .62191 .38812 .63224 .39499 .62724 .38749 Metetra 0 .279 .782 r .62724 .38749 .63224 .39499 .64273 .40325 .63771 .39528 Metetra 0 .208 .734 r .63771 .39528 .64273 .40325 .65341 .41317 .64836 .40458 Metetra 0 .135 .681 r .64836 .40458 .65341 .41317 .6643 .42512 .65921 .41571 Metetra 0 .061 .625 r .65921 .41571 .6643 .42512 .67546 .43954 .67031 .42903 Metetra 0 0 .57 r .67031 .42903 .67546 .43954 .68694 .45703 .6817 .445 Metetra 0 0 .519 r .6817 .445 .68694 .45703 .69882 .47838 .69343 .46423 Metetra .051 .205 .704 r .69343 .46423 .69882 .47838 .70993 .48317 .705 .47714 Metetra .645 .763 .934 r .705 .47714 .70993 .48317 .72063 .47991 .71573 .47385 Metetra .645 .763 .934 r .71573 .47385 .72063 .47991 .73137 .47663 .72651 .47055 Metetra .645 .763 .934 r .72651 .47055 .73137 .47663 .74216 .47335 .73732 .46724 Metetra .645 .763 .934 r .73732 .46724 .74216 .47335 .75299 .47005 .74818 .46392 Metetra .645 .763 .934 r .74818 .46392 .75299 .47005 .76386 .46673 .75909 .46058 Metetra .645 .763 .934 r .75909 .46058 .76386 .46673 .77478 .46341 .77003 .45723 Metetra .645 .763 .934 r .77003 .45723 .77478 .46341 .78574 .46007 .78103 .45387 Metetra .645 .763 .934 r .78103 .45387 .78574 .46007 .79674 .45671 .79206 .45049 Metetra .645 .763 .934 r .79206 .45049 .79674 .45671 .80779 .45335 .80314 .4471 Metetra .981 .69 .362 r .80314 .4471 .80779 .45335 .80593 .3137 .79404 .22793 Metetra .575 .373 .569 r .79404 .22793 .80593 .3137 .80829 .22648 .80396 .21985 Metetra .664 .741 .908 r .21496 .41707 .22068 .4224 .22897 .41952 .22327 .41417 Metetra .664 .741 .908 r .22327 .41417 .22897 .41952 .23729 .41663 .2316 .41127 Metetra .664 .741 .908 r .2316 .41127 .23729 .41663 .24564 .41373 .23997 .40835 Metetra .663 .741 .908 r .23997 .40835 .24564 .41373 .25401 .41083 .24836 .40543 Metetra .66 .74 .909 r .24836 .40543 .25401 .41083 .26241 .408 .25677 .40258 Metetra .298 .589 .944 r .25677 .40258 .26241 .408 .27079 .40569 .26483 .40428 Metetra .786 .92 .928 r .26483 .40428 .27079 .40569 .2792 .40343 .27356 .39837 Metetra .656 .755 .923 r .27356 .39837 .2792 .40343 .28767 .4008 .28206 .39556 Metetra .648 .746 .921 r .28206 .39556 .28767 .4008 .29617 .39817 .29058 .39292 Metetra .646 .746 .922 r .29058 .39292 .29617 .39817 .30469 .39558 .29912 .39031 Metetra .643 .745 .923 r .29912 .39031 .30469 .39558 .31325 .39303 .30769 .38775 Metetra .64 .744 .924 r .30769 .38775 .31325 .39303 .32183 .39053 .31629 .38523 Metetra .637 .743 .925 r .31629 .38523 .32183 .39053 .33044 .38807 .32492 .38275 Metetra .634 .743 .926 r .32492 .38275 .33044 .38807 .33908 .38567 .33358 .38033 Metetra .631 .742 .927 r .33358 .38033 .33908 .38567 .34775 .38331 .34227 .37795 Metetra .628 .741 .928 r .34227 .37795 .34775 .38331 .35646 .38101 .35099 .37564 Metetra .624 .739 .93 r .35099 .37564 .35646 .38101 .36519 .37878 .35974 .37338 Metetra .62 .738 .931 r .35974 .37338 .36519 .37878 .37395 .3766 .36852 .37119 Metetra .616 .737 .932 r .36852 .37119 .37395 .3766 .38274 .3745 .37733 .36907 Metetra .612 .735 .933 r .37733 .36907 .38274 .3745 .39157 .37247 .38618 .36702 Metetra .607 .733 .935 r .38618 .36702 .39157 .37247 .40043 .37051 .39506 .36505 Metetra .602 .732 .936 r .39506 .36505 .40043 .37051 .40933 .36865 .40397 .36316 Metetra .596 .729 .937 r .40397 .36316 .40933 .36865 .41826 .36688 .41292 .36137 Metetra .59 .727 .939 r .41292 .36137 .41826 .36688 .42722 .36521 .4219 .35968 Metetra .583 .724 .94 r .4219 .35968 .42722 .36521 .43623 .36365 .43092 .35809 Metetra .575 .721 .942 r .43092 .35809 .43623 .36365 .44527 .36221 .43998 .35663 Metetra .567 .718 .943 r .43998 .35663 .44527 .36221 .45435 .3609 .44908 .35529 Metetra .558 .714 .945 r .44908 .35529 .45435 .3609 .46347 .35973 .45821 .3541 Metetra .548 .709 .946 r .45821 .3541 .46347 .35973 .47263 .35872 .46739 .35306 Metetra .537 .704 .947 r .46739 .35306 .47263 .35872 .48183 .35788 .47662 .35219 Metetra .525 .698 .949 r .47662 .35219 .48183 .35788 .49108 .35723 .48588 .3515 Metetra .511 .691 .95 r .48588 .3515 .49108 .35723 .50038 .35679 .4952 .35102 Metetra .496 .683 .95 r .4952 .35102 .50038 .35679 .50972 .35658 .50456 .35077 Metetra .478 .674 .95 r .50456 .35077 .50972 .35658 .51912 .35663 .51398 .35077 Metetra .459 .663 .95 r .51398 .35077 .51912 .35663 .52858 .35696 .52345 .35104 Metetra .436 .65 .949 r .52345 .35104 .52858 .35696 .53809 .35762 .53298 .35163 Metetra .411 .635 .947 r .53298 .35163 .53809 .35762 .54766 .35863 .54256 .35257 Metetra .383 .617 .944 r .54256 .35257 .54766 .35863 .5573 .36006 .55222 .3539 Metetra .351 .596 .939 r .55222 .3539 .5573 .36006 .56701 .36194 .56194 .35568 Metetra .314 .572 .931 r .56194 .35568 .56701 .36194 .5768 .36435 .57175 .35795 Metetra .273 .542 .921 r .57175 .35795 .5768 .36435 .58668 .36736 .58163 .3608 Metetra .227 .508 .907 r .58163 .3608 .58668 .36736 .59665 .37106 .59161 .36429 Metetra .175 .468 .889 r .59161 .36429 .59665 .37106 .60672 .37555 .60168 .36854 Metetra .119 .422 .866 r .60168 .36854 .60672 .37555 .61691 .38098 .61187 .37364 Metetra .059 .37 .838 r .61187 .37364 .61691 .38098 .62724 .38749 .62219 .37975 Metetra 0 .312 .803 r .62219 .37975 .62724 .38749 .63771 .39528 .63265 .38702 Metetra 0 .251 .764 r .63265 .38702 .63771 .39528 .64836 .40458 .64327 .39566 Metetra 0 .187 .72 r .64327 .39566 .64836 .40458 .65921 .41571 .65409 .40591 Metetra 0 .125 .675 r .65409 .40591 .65921 .41571 .67031 .42903 .66512 .41806 Metetra 0 .067 .63 r .66512 .41806 .67031 .42903 .6817 .445 .67641 .43246 Metetra 0 .017 .59 r .67641 .43246 .6817 .445 .69343 .46423 .68801 .44955 Metetra 0 0 .557 r .68801 .44955 .69343 .46423 .705 .47714 .69997 .46983 Metetra .598 .699 .914 r .69997 .46983 .705 .47714 .71573 .47385 .7108 .46775 Metetra .645 .763 .934 r .7108 .46775 .71573 .47385 .72651 .47055 .7216 .46443 Metetra .645 .763 .934 r .7216 .46443 .72651 .47055 .73732 .46724 .73245 .4611 Metetra .645 .763 .934 r .73245 .4611 .73732 .46724 .74818 .46392 .74334 .45775 Metetra .645 .763 .934 r .74334 .45775 .74818 .46392 .75909 .46058 .75428 .45439 Metetra .645 .763 .934 r .75428 .45439 .75909 .46058 .77003 .45723 .76525 .45101 Metetra .645 .763 .934 r .76525 .45101 .77003 .45723 .78103 .45387 .77628 .44762 Metetra .645 .763 .934 r .77628 .44762 .78103 .45387 .79206 .45049 .78734 .44422 Metetra .645 .763 .934 r .78734 .44422 .79206 .45049 .80314 .4471 .79846 .4408 Metetra .981 .689 .361 r .79846 .4408 .80314 .4471 .79404 .22793 .78924 .21697 Metetra .65 .62 .806 r .78924 .21697 .79404 .22793 .80396 .21985 .79959 .21318 Metetra .664 .741 .908 r .20921 .41172 .21496 .41707 .22327 .41417 .21753 .4088 Metetra .664 .741 .908 r .21753 .4088 .22327 .41417 .2316 .41127 .22588 .40587 Metetra .664 .741 .908 r .22588 .40587 .2316 .41127 .23997 .40835 .23426 .40294 Metetra .663 .741 .908 r .23426 .40294 .23997 .40835 .24836 .40543 .24267 .4 Metetra .661 .741 .909 r .24267 .4 .24836 .40543 .25677 .40258 .2511 .3971 Metetra .64 .734 .916 r .2511 .3971 .25677 .40258 .26483 .40428 .25953 .39463 Metetra .61 .601 .817 r .25953 .39463 .26483 .40428 .27356 .39837 .26793 .39276 Metetra .639 .73 .914 r .26793 .39276 .27356 .39837 .28206 .39556 .27642 .3903 Metetra .647 .746 .922 r .27642 .3903 .28206 .39556 .29058 .39292 .28495 .38766 Metetra .645 .747 .923 r .28495 .38766 .29058 .39292 .29912 .39031 .29351 .38504 Metetra .643 .746 .924 r .29351 .38504 .29912 .39031 .30769 .38775 .3021 .38246 Metetra .64 .746 .925 r .3021 .38246 .30769 .38775 .31629 .38523 .31072 .37992 Metetra .637 .745 .926 r .31072 .37992 .31629 .38523 .32492 .38275 .31937 .37743 Metetra .634 .744 .927 r .31937 .37743 .32492 .38275 .33358 .38033 .32804 .37499 Metetra .631 .743 .928 r .32804 .37499 .33358 .38033 .34227 .37795 .33675 .3726 Metetra .628 .742 .93 r .33675 .3726 .34227 .37795 .35099 .37564 .34548 .37026 Metetra .624 .741 .931 r .34548 .37026 .35099 .37564 .35974 .37338 .35425 .36799 Metetra .62 .74 .932 r .35425 .36799 .35974 .37338 .36852 .37119 .36305 .36578 Metetra .616 .738 .933 r .36305 .36578 .36852 .37119 .37733 .36907 .37188 .36364 Metetra .611 .737 .934 r .37188 .36364 .37733 .36907 .38618 .36702 .38075 .36157 Metetra .607 .735 .936 r .38075 .36157 .38618 .36702 .39506 .36505 .38964 .35958 Metetra .601 .733 .937 r .38964 .35958 .39506 .36505 .40397 .36316 .39857 .35767 Metetra .596 .731 .939 r .39857 .35767 .40397 .36316 .41292 .36137 .40754 .35586 Metetra .589 .728 .94 r .40754 .35586 .41292 .36137 .4219 .35968 .41654 .35415 Metetra .583 .726 .941 r .41654 .35415 .4219 .35968 .43092 .35809 .42558 .35254 Metetra .575 .723 .943 r .42558 .35254 .43092 .35809 .43998 .35663 .43466 .35105 Metetra .567 .719 .944 r .43466 .35105 .43998 .35663 .44908 .35529 .44377 .34969 Metetra .558 .715 .946 r .44377 .34969 .44908 .35529 .45821 .3541 .45293 .34847 Metetra .548 .711 .947 r .45293 .34847 .45821 .3541 .46739 .35306 .46213 .34739 Metetra .538 .706 .948 r .46213 .34739 .46739 .35306 .47662 .35219 .47137 .34649 Metetra .526 .7 .949 r .47137 .34649 .47662 .35219 .48588 .3515 .48065 .34577 Metetra .512 .693 .95 r .48065 .34577 .48588 .3515 .4952 .35102 .48998 .34524 Metetra .497 .685 .951 r .48998 .34524 .4952 .35102 .50456 .35077 .49937 .34494 Metetra .48 .676 .951 r .49937 .34494 .50456 .35077 .51398 .35077 .5088 .34489 Metetra .462 .665 .951 r .5088 .34489 .51398 .35077 .52345 .35104 .51828 .3451 Metetra .441 .653 .949 r .51828 .3451 .52345 .35104 .53298 .35163 .52783 .34561 Metetra .417 .638 .947 r .52783 .34561 .53298 .35163 .54256 .35257 .53743 .34647 Metetra .39 .621 .944 r .53743 .34647 .54256 .35257 .55222 .3539 .5471 .34769 Metetra .36 .601 .939 r .5471 .34769 .55222 .3539 .56194 .35568 .55684 .34935 Metetra .327 .578 .933 r .55684 .34935 .56194 .35568 .57175 .35795 .56665 .35147 Metetra .289 .55 .923 r .56665 .35147 .57175 .35795 .58163 .3608 .57655 .35414 Metetra .248 .519 .911 r .57655 .35414 .58163 .3608 .59161 .36429 .58653 .35741 Metetra .202 .482 .895 r .58653 .35741 .59161 .36429 .60168 .36854 .59661 .36139 Metetra .153 .441 .875 r .59661 .36139 .60168 .36854 .61187 .37364 .6068 .36615 Metetra .102 .395 .85 r .6068 .36615 .61187 .37364 .62219 .37975 .61711 .37183 Metetra .049 .344 .821 r .61711 .37183 .62219 .37975 .63265 .38702 .62756 .37856 Metetra 0 .291 .789 r .62756 .37856 .63265 .38702 .64327 .39566 .63816 .3865 Metetra 0 .237 .753 r .63816 .3865 .64327 .39566 .65409 .40591 .64893 .39584 Metetra 0 .184 .716 r .64893 .39584 .65409 .40591 .66512 .41806 .6599 .40681 Metetra 0 .135 .679 r .6599 .40681 .66512 .41806 .67641 .43246 .6711 .41965 Metetra 0 .095 .646 r .6711 .41965 .67641 .43246 .68801 .44955 .68257 .43467 Metetra 0 .065 .618 r .68257 .43467 .68801 .44955 .69997 .46983 .69434 .45218 Metetra .287 .32 .721 r .69434 .45218 .69997 .46983 .7108 .46775 .70583 .46161 Metetra .645 .763 .934 r .70583 .46161 .7108 .46775 .7216 .46443 .71667 .45826 Metetra .645 .763 .934 r .71667 .45826 .7216 .46443 .73245 .4611 .72754 .4549 Metetra .645 .763 .934 r .72754 .4549 .73245 .4611 .74334 .45775 .73846 .45153 Metetra .645 .763 .934 r .73846 .45153 .74334 .45775 .75428 .45439 .74943 .44814 Metetra .645 .763 .934 r .74943 .44814 .75428 .45439 .76525 .45101 .76044 .44474 Metetra .645 .763 .934 r .76044 .44474 .76525 .45101 .77628 .44762 .77149 .44133 Metetra .645 .763 .934 r .77149 .44133 .77628 .44762 .78734 .44422 .78259 .4379 Metetra .645 .763 .934 r .78259 .4379 .78734 .44422 .79846 .4408 .79373 .43446 Metetra .981 .689 .361 r .79373 .43446 .79846 .4408 .78924 .21697 .7848 .21011 Metetra .663 .735 .903 r .7848 .21011 .78924 .21697 .79959 .21318 .79519 .20647 Metetra .664 .741 .908 r .20342 .40632 .20921 .41172 .21753 .4088 .21176 .40339 Metetra .664 .741 .908 r .21176 .40339 .21753 .4088 .22588 .40587 .22012 .40045 Metetra .664 .741 .908 r .22012 .40045 .22588 .40587 .23426 .40294 .22852 .39749 Metetra .663 .741 .908 r .22852 .39749 .23426 .40294 .24267 .4 .23695 .39453 Metetra .662 .741 .909 r .23695 .39453 .24267 .4 .2511 .3971 .2454 .39159 Metetra .639 .734 .917 r .2454 .39159 .2511 .3971 .25953 .39463 .25384 .38913 Metetra .514 .691 .948 r .25384 .38913 .25953 .39463 .26793 .39276 .26214 .38865 Metetra .687 .803 .937 r .26214 .38865 .26793 .39276 .27642 .3903 .27073 .38514 Metetra .65 .752 .924 r .27073 .38514 .27642 .3903 .28495 .38766 .27928 .38241 Metetra .645 .748 .924 r .27928 .38241 .28495 .38766 .29351 .38504 .28786 .37977 Metetra .643 .748 .925 r .28786 .37977 .29351 .38504 .3021 .38246 .29647 .37717 Metetra .64 .747 .926 r .29647 .37717 .3021 .38246 .31072 .37992 .3051 .37462 Metetra .637 .746 .927 r .3051 .37462 .31072 .37992 .31937 .37743 .31377 .37211 Metetra .634 .745 .928 r .31377 .37211 .31937 .37743 .32804 .37499 .32246 .36965 Metetra .631 .744 .929 r .32246 .36965 .32804 .37499 .33675 .3726 .33119 .36724 Metetra .627 .743 .931 r .33119 .36724 .33675 .3726 .34548 .37026 .33994 .36489 Metetra .624 .742 .932 r .33994 .36489 .34548 .37026 .35425 .36799 .34873 .3626 Metetra .62 .741 .933 r .34873 .3626 .35425 .36799 .36305 .36578 .35754 .36037 Metetra .616 .74 .934 r .35754 .36037 .36305 .36578 .37188 .36364 .36639 .35821 Metetra .611 .738 .936 r .36639 .35821 .37188 .36364 .38075 .36157 .37527 .35612 Metetra .606 .736 .937 r .37527 .35612 .38075 .36157 .38964 .35958 .38419 .35411 Metetra .601 .734 .938 r .38419 .35411 .38964 .35958 .39857 .35767 .39314 .35218 Metetra .595 .732 .94 r .39314 .35218 .39857 .35767 .40754 .35586 .40212 .35035 Metetra .589 .73 .941 r .40212 .35035 .40754 .35586 .41654 .35415 .41114 .34861 Metetra .583 .727 .942 r .41114 .34861 .41654 .35415 .42558 .35254 .4202 .34698 Metetra .575 .724 .944 r .4202 .34698 .42558 .35254 .43466 .35105 .4293 .34547 Metetra .567 .721 .945 r .4293 .34547 .43466 .35105 .44377 .34969 .43843 .34408 Metetra .559 .717 .946 r .43843 .34408 .44377 .34969 .45293 .34847 .44761 .34282 Metetra .549 .712 .948 r .44761 .34282 .45293 .34847 .46213 .34739 .45682 .34172 Metetra .538 .707 .949 r .45682 .34172 .46213 .34739 .47137 .34649 .46608 .34078 Metetra .526 .701 .95 r .46608 .34078 .47137 .34649 .48065 .34577 .47538 .34002 Metetra .513 .695 .951 r .47538 .34002 .48065 .34577 .48998 .34524 .48473 .33945 Metetra .499 .687 .951 r .48473 .33945 .48998 .34524 .49937 .34494 .49413 .33909 Metetra .483 .678 .951 r .49413 .33909 .49937 .34494 .5088 .34489 .50358 .33898 Metetra .465 .668 .951 r .50358 .33898 .5088 .34489 .51828 .3451 .51309 .33912 Metetra .445 .655 .95 r .51309 .33912 .51828 .3451 .52783 .34561 .52265 .33956 Metetra .423 .641 .948 r .52265 .33956 .52783 .34561 .53743 .34647 .53227 .34032 Metetra .398 .625 .945 r .53227 .34032 .53743 .34647 .5471 .34769 .54195 .34144 Metetra .37 .606 .94 r .54195 .34144 .5471 .34769 .55684 .34935 .5517 .34296 Metetra .339 .584 .934 r .5517 .34296 .55684 .34935 .56665 .35147 .56153 .34493 Metetra .305 .559 .925 r .56153 .34493 .56665 .35147 .57655 .35414 .57143 .3474 Metetra .268 .53 .914 r .57143 .3474 .57655 .35414 .58653 .35741 .58143 .35044 Metetra .228 .497 .9 r .58143 .35044 .58653 .35741 .59661 .36139 .59151 .35412 Metetra .186 .46 .883 r .59151 .35412 .59661 .36139 .6068 .36615 .6017 .35854 Metetra .142 .419 .862 r .6017 .35854 .6068 .36615 .61711 .37183 .612 .36377 Metetra .098 .375 .837 r .612 .36377 .61711 .37183 .62756 .37856 .62243 .36994 Metetra .056 .329 .809 r .62243 .36994 .62756 .37856 .63816 .3865 .63301 .37717 Metetra .018 .282 .779 r .63301 .37717 .63816 .3865 .64893 .39584 .64374 .38561 Metetra 0 .237 .749 r .64374 .38561 .64893 .39584 .6599 .40681 .65465 .39543 Metetra 0 .197 .718 r .65465 .39543 .6599 .40681 .6711 .41965 .66577 .40678 Metetra 0 .163 .69 r .66577 .40678 .6711 .41965 .68257 .43467 .67712 .41987 Metetra 0 .139 .665 r .67712 .41987 .68257 .43467 .69434 .45218 .68873 .43485 Metetra 0 .125 .644 r .68873 .43485 .69434 .45218 .70583 .46161 .70063 .45189 Metetra .516 .591 .868 r .70063 .45189 .70583 .46161 .71667 .45826 .71169 .45205 Metetra .645 .763 .934 r .71169 .45205 .71667 .45826 .72754 .4549 .7226 .44867 Metetra .645 .763 .934 r .7226 .44867 .72754 .4549 .73846 .45153 .73355 .44527 Metetra .645 .763 .934 r .73355 .44527 .73846 .45153 .74943 .44814 .74455 .44185 Metetra .645 .763 .934 r .74455 .44185 .74943 .44814 .76044 .44474 .75559 .43843 Metetra .645 .763 .934 r .75559 .43843 .76044 .44474 .77149 .44133 .76667 .43499 Metetra .645 .763 .934 r .76667 .43499 .77149 .44133 .78259 .4379 .7778 .43153 Metetra .983 .701 .387 r .7778 .43153 .78259 .4379 .79373 .43446 .77566 .27323 Metetra .673 .427 .541 r .77566 .27323 .79373 .43446 .7848 .21011 .78035 .20337 Metetra .663 .741 .908 r .78035 .20337 .7848 .21011 .79519 .20647 .79077 .19971 Metetra .664 .741 .908 r .19759 .4009 .20342 .40632 .21176 .40339 .20595 .39795 Metetra .664 .741 .908 r .20595 .39795 .21176 .40339 .22012 .40045 .21433 .39498 Metetra .664 .741 .908 r .21433 .39498 .22012 .40045 .22852 .39749 .22274 .39201 Metetra .663 .741 .908 r .22274 .39201 .22852 .39749 .23695 .39453 .23119 .38903 Metetra .663 .741 .908 r .23119 .38903 .23695 .39453 .2454 .39159 .23966 .38606 Metetra .651 .738 .912 r .23966 .38606 .2454 .39159 .25384 .38913 .24813 .38332 Metetra .591 .709 .925 r .24813 .38332 .25384 .38913 .26214 .38865 .25654 .38174 Metetra .618 .68 .886 r .25654 .38174 .26214 .38865 .27073 .38514 .26502 .37971 Metetra .642 .741 .921 r .26502 .37971 .27073 .38514 .27928 .38241 .27358 .37714 Metetra .645 .749 .925 r .27358 .37714 .27928 .38241 .28786 .37977 .28217 .37449 Metetra .642 .749 .926 r .28217 .37449 .28786 .37977 .29647 .37717 .2908 .37188 Metetra .64 .748 .927 r .2908 .37188 .29647 .37717 .3051 .37462 .29945 .36931 Metetra .637 .747 .928 r .29945 .36931 .3051 .37462 .31377 .37211 .30813 .36678 Metetra .634 .747 .929 r .30813 .36678 .31377 .37211 .32246 .36965 .31685 .36431 Metetra .631 .746 .931 r .31685 .36431 .32246 .36965 .33119 .36724 .32559 .36188 Metetra .627 .745 .932 r .32559 .36188 .33119 .36724 .33994 .36489 .33436 .35951 Metetra .624 .743 .933 r .33436 .35951 .33994 .36489 .34873 .3626 .34316 .3572 Metetra .62 .742 .934 r .34316 .3572 .34873 .3626 .35754 .36037 .352 .35496 Metetra .616 .741 .935 r .352 .35496 .35754 .36037 .36639 .35821 .36087 .35278 Metetra .611 .739 .937 r .36087 .35278 .36639 .35821 .37527 .35612 .36977 .35067 Metetra .606 .738 .938 r .36977 .35067 .37527 .35612 .38419 .35411 .3787 .34864 Metetra .601 .736 .939 r .3787 .34864 .38419 .35411 .39314 .35218 .38767 .34669 Metetra .595 .734 .941 r .38767 .34669 .39314 .35218 .40212 .35035 .39667 .34483 Metetra .589 .731 .942 r .39667 .34483 .40212 .35035 .41114 .34861 .40571 .34307 Metetra .583 .729 .943 r .40571 .34307 .41114 .34861 .4202 .34698 .41479 .34142 Metetra .575 .726 .945 r .41479 .34142 .4202 .34698 .4293 .34547 .4239 .33988 Metetra .568 .722 .946 r .4239 .33988 .4293 .34547 .43843 .34408 .43305 .33846 Metetra .559 .718 .947 r .43305 .33846 .43843 .34408 .44761 .34282 .44224 .33717 Metetra .549 .714 .948 r .44224 .33717 .44761 .34282 .45682 .34172 .45148 .33604 Metetra .539 .709 .95 r .45148 .33604 .45682 .34172 .46608 .34078 .46076 .33506 Metetra .528 .703 .95 r .46076 .33506 .46608 .34078 .47538 .34002 .47008 .33425 Metetra .515 .696 .951 r .47008 .33425 .47538 .34002 .48473 .33945 .47945 .33363 Metetra .501 .689 .952 r .47945 .33363 .48473 .33945 .49413 .33909 .48886 .33323 Metetra .486 .68 .952 r .48886 .33323 .49413 .33909 .50358 .33898 .49833 .33305 Metetra .469 .67 .951 r .49833 .33305 .50358 .33898 .51309 .33912 .50785 .33312 Metetra .45 .658 .95 r .50785 .33312 .51309 .33912 .52265 .33956 .51743 .33347 Metetra .429 .645 .948 r .51743 .33347 .52265 .33956 .53227 .34032 .52707 .33413 Metetra .405 .629 .945 r .52707 .33413 .53227 .34032 .54195 .34144 .53676 .33513 Metetra .38 .611 .941 r .53676 .33513 .54195 .34144 .5517 .34296 .54653 .33651 Metetra .352 .591 .935 r .54653 .33651 .5517 .34296 .56153 .34493 .55637 .33832 Metetra .321 .567 .927 r .55637 .33832 .56153 .34493 .57143 .3474 .56628 .34059 Metetra .288 .541 .917 r .56628 .34059 .57143 .3474 .58143 .35044 .57628 .34339 Metetra .253 .511 .905 r .57628 .34339 .58143 .35044 .59151 .35412 .58637 .34678 Metetra .217 .478 .889 r .58637 .34678 .59151 .35412 .6017 .35854 .59656 .35082 Metetra .18 .442 .871 r .59656 .35082 .6017 .35854 .612 .36377 .60686 .35561 Metetra .143 .403 .85 r .60686 .35561 .612 .36377 .62243 .36994 .61728 .36122 Metetra .109 .363 .827 r .61728 .36122 .62243 .36994 .63301 .37717 .62783 .36776 Metetra .08 .323 .801 r .62783 .36776 .63301 .37717 .64374 .38561 .63853 .37532 Metetra .057 .285 .775 r .63853 .37532 .64374 .38561 .65465 .39543 .64939 .38403 Metetra .044 .251 .749 r .64939 .38403 .65465 .39543 .66577 .40678 .66043 .394 Metetra .042 .222 .724 r .66043 .394 .66577 .40678 .67712 .41987 .67168 .40532 Metetra .053 .202 .701 r .67168 .40532 .67712 .41987 .68873 .43485 .68314 .41809 Metetra .078 .19 .68 r .68314 .41809 .68873 .43485 .70063 .45189 .69485 .43231 Metetra .188 .237 .682 r .69485 .43231 .70063 .45189 .71169 .45205 .70668 .44579 Metetra .645 .763 .934 r .70668 .44579 .71169 .45205 .7226 .44867 .71762 .44238 Metetra .645 .763 .934 r .71762 .44238 .7226 .44867 .73355 .44527 .7286 .43896 Metetra .645 .763 .934 r .7286 .43896 .73355 .44527 .74455 .44185 .73963 .43552 Metetra .645 .763 .934 r .73963 .43552 .74455 .44185 .75559 .43843 .7507 .43207 Metetra .645 .763 .934 r .7507 .43207 .75559 .43843 .76667 .43499 .76182 .4286 Metetra .645 .763 .934 r .76182 .4286 .76667 .43499 .7778 .43153 .77298 .42512 Metetra .981 .691 .367 r .77298 .42512 .7778 .43153 .77566 .27323 .76552 .20104 Metetra .561 .366 .574 r .76552 .20104 .77566 .27323 .78035 .20337 .77586 .19659 Metetra .664 .741 .908 r .77586 .19659 .78035 .20337 .79077 .19971 .78631 .1929 Metetra .664 .741 .908 r .19173 .39544 .19759 .4009 .20595 .39795 .2001 .39247 Metetra .664 .741 .908 r .2001 .39247 .20595 .39795 .21433 .39498 .2085 .38949 Metetra .664 .741 .908 r .2085 .38949 .21433 .39498 .22274 .39201 .21693 .3865 Metetra .664 .741 .908 r .21693 .3865 .22274 .39201 .23119 .38903 .22539 .3835 Metetra .663 .741 .908 r .22539 .3835 .23119 .38903 .23966 .38606 .23388 .38049 Metetra .658 .739 .91 r .23388 .38049 .23966 .38606 .24813 .38332 .24238 .3776 Metetra .589 .713 .929 r .24238 .3776 .24813 .38332 .25654 .38174 .2508 .37602 Metetra .558 .703 .937 r .2508 .37602 .25654 .38174 .26502 .37971 .25921 .37493 Metetra .661 .773 .932 r .25921 .37493 .26502 .37971 .27358 .37714 .26783 .37192 Metetra .646 .752 .927 r .26783 .37192 .27358 .37714 .28217 .37449 .27644 .36922 Metetra .642 .75 .927 r .27644 .36922 .28217 .37449 .2908 .37188 .28508 .36659 Metetra .639 .749 .928 r .28508 .36659 .2908 .37188 .29945 .36931 .29376 .364 Metetra .637 .749 .929 r .29376 .364 .29945 .36931 .30813 .36678 .30246 .36146 Metetra .634 .748 .93 r .30246 .36146 .30813 .36678 .31685 .36431 .31119 .35897 Metetra .63 .747 .932 r .31119 .35897 .31685 .36431 .32559 .36188 .31995 .35652 Metetra .627 .746 .933 r .31995 .35652 .32559 .36188 .33436 .35951 .32874 .35414 Metetra .623 .745 .934 r .32874 .35414 .33436 .35951 .34316 .3572 .33756 .35181 Metetra .619 .744 .935 r .33756 .35181 .34316 .3572 .352 .35496 .34641 .34954 Metetra .615 .742 .936 r .34641 .34954 .352 .35496 .36087 .35278 .3553 .34734 Metetra .611 .741 .938 r .3553 .34734 .36087 .35278 .36977 .35067 .36422 .34521 Metetra .606 .739 .939 r .36422 .34521 .36977 .35067 .3787 .34864 .37317 .34316 Metetra .601 .737 .94 r .37317 .34316 .3787 .34864 .38767 .34669 .38216 .3412 Metetra .595 .735 .942 r .38216 .3412 .38767 .34669 .39667 .34483 .39118 .33932 Metetra .589 .733 .943 r .39118 .33932 .39667 .34483 .40571 .34307 .40024 .33753 Metetra .583 .73 .944 r .40024 .33753 .40571 .34307 .41479 .34142 .40933 .33585 Metetra .576 .727 .946 r .40933 .33585 .41479 .34142 .4239 .33988 .41846 .33428 Metetra .568 .724 .947 r .41846 .33428 .4239 .33988 .43305 .33846 .42763 .33283 Metetra .559 .72 .948 r .42763 .33283 .43305 .33846 .44224 .33717 .43685 .33152 Metetra .55 .715 .949 r .43685 .33152 .44224 .33717 .45148 .33604 .4461 .33034 Metetra .54 .71 .95 r .4461 .33034 .45148 .33604 .46076 .33506 .4554 .32932 Metetra .529 .705 .951 r .4554 .32932 .46076 .33506 .47008 .33425 .46474 .32847 Metetra .517 .698 .952 r .46474 .32847 .47008 .33425 .47945 .33363 .47412 .3278 Metetra .503 .691 .952 r .47412 .3278 .47945 .33363 .48886 .33323 .48356 .32734 Metetra .489 .682 .952 r .48356 .32734 .48886 .33323 .49833 .33305 .49304 .32709 Metetra .472 .672 .951 r .49304 .32709 .49833 .33305 .50785 .33312 .50258 .32709 Metetra .455 .661 .95 r .50258 .32709 .50785 .33312 .51743 .33347 .51218 .32735 Metetra .435 .648 .948 r .51218 .32735 .51743 .33347 .52707 .33413 .52183 .32791 Metetra .413 .634 .946 r .52183 .32791 .52707 .33413 .53676 .33513 .53154 .32879 Metetra .39 .617 .942 r .53154 .32879 .53676 .33513 .54653 .33651 .54132 .33002 Metetra .364 .598 .936 r .54132 .33002 .54653 .33651 .55637 .33832 .55118 .33165 Metetra .337 .576 .929 r .55118 .33165 .55637 .33832 .56628 .34059 .5611 .33372 Metetra .308 .552 .92 r .5611 .33372 .56628 .34059 .57628 .34339 .57111 .33627 Metetra .277 .525 .909 r .57111 .33627 .57628 .34339 .58637 .34678 .58121 .33936 Metetra .246 .495 .896 r .58121 .33936 .58637 .34678 .59656 .35082 .5914 .34304 Metetra .215 .463 .88 r .5914 .34304 .59656 .35082 .60686 .35561 .60169 .34738 Metetra .184 .429 .862 r .60169 .34738 .60686 .35561 .61728 .36122 .6121 .35244 Metetra .157 .394 .841 r .6121 .35244 .61728 .36122 .62783 .36776 .62263 .35831 Metetra .134 .36 .819 r .62263 .35831 .62783 .36776 .63853 .37532 .6333 .36505 Metetra .117 .327 .796 r .6333 .36505 .63853 .37532 .64939 .38403 .64411 .37273 Metetra .109 .298 .773 r .64411 .37273 .64939 .38403 .66043 .394 .65509 .38142 Metetra .111 .274 .751 r .65509 .38142 .66043 .394 .67168 .40532 .66625 .39117 Metetra .123 .256 .729 r .66625 .39117 .67168 .40532 .68314 .41809 .67759 .402 Metetra .146 .245 .709 r .67759 .402 .68314 .41809 .69485 .43231 .68914 .41386 Metetra .18 .242 .692 r .68914 .41386 .69485 .43231 .70668 .44579 .70089 .42663 Metetra .306 .32 .711 r .70089 .42663 .70668 .44579 .71762 .44238 .7126 .43605 Metetra .645 .763 .934 r .7126 .43605 .71762 .44238 .7286 .43896 .72361 .4326 Metetra .645 .763 .934 r .72361 .4326 .7286 .43896 .73963 .43552 .73467 .42913 Metetra .645 .763 .934 r .73467 .42913 .73963 .43552 .7507 .43207 .74577 .42566 Metetra .645 .763 .934 r .74577 .42566 .7507 .43207 .76182 .4286 .75692 .42216 Metetra .645 .763 .934 r .75692 .42216 .76182 .4286 .77298 .42512 .76812 .41866 Metetra .981 .69 .366 r .76812 .41866 .77298 .42512 .76552 .20104 .76091 .19347 Metetra .662 .715 .887 r .76091 .19347 .76552 .20104 .77586 .19659 .77134 .18976 Metetra .664 .741 .908 r .77134 .18976 .77586 .19659 .78631 .1929 .78182 .18605 Metetra .664 .741 .908 r .18583 .38995 .19173 .39544 .2001 .39247 .19422 .38696 Metetra .664 .741 .908 r .19422 .38696 .2001 .39247 .2085 .38949 .20263 .38396 Metetra .664 .741 .908 r .20263 .38396 .2085 .38949 .21693 .3865 .21108 .38095 Metetra .664 .741 .908 r .21108 .38095 .21693 .3865 .22539 .3835 .21956 .37793 Metetra .663 .741 .908 r .21956 .37793 .22539 .3835 .23388 .38049 .22806 .3749 Metetra .661 .74 .909 r .22806 .3749 .23388 .38049 .24238 .3776 .23659 .37192 Metetra .622 .727 .922 r .23659 .37192 .24238 .3776 .2508 .37602 .24508 .36973 Metetra .551 .679 .923 r .24508 .36973 .2508 .37602 .25921 .37493 .25348 .36883 Metetra .627 .714 .909 r .25348 .36883 .25921 .37493 .26783 .37192 .26205 .36653 Metetra .64 .746 .925 r .26205 .36653 .26783 .37192 .27644 .36922 .27067 .36393 Metetra .642 .751 .928 r .27067 .36393 .27644 .36922 .28508 .36659 .27933 .36129 Metetra .639 .751 .929 r .27933 .36129 .28508 .36659 .29376 .364 .28802 .35869 Metetra .636 .75 .93 r .28802 .35869 .29376 .364 .30246 .36146 .29674 .35613 Metetra .633 .749 .931 r .29674 .35613 .30246 .36146 .31119 .35897 .30549 .35362 Metetra .63 .748 .933 r .30549 .35362 .31119 .35897 .31995 .35652 .31427 .35116 Metetra .627 .747 .934 r .31427 .35116 .31995 .35652 .32874 .35414 .32307 .34876 Metetra .623 .746 .935 r .32307 .34876 .32874 .35414 .33756 .35181 .33192 .34641 Metetra .619 .745 .936 r .33192 .34641 .33756 .35181 .34641 .34954 .34079 .34412 Metetra .615 .743 .937 r .34079 .34412 .34641 .34954 .3553 .34734 .34969 .3419 Metetra .611 .742 .939 r .34969 .3419 .3553 .34734 .36422 .34521 .35863 .33976 Metetra .606 .74 .94 r .35863 .33976 .36422 .34521 .37317 .34316 .3676 .33768 Metetra .601 .738 .941 r .3676 .33768 .37317 .34316 .38216 .3412 .37661 .33569 Metetra .595 .736 .942 r .37661 .33569 .38216 .3412 .39118 .33932 .38565 .33379 Metetra .589 .734 .944 r .38565 .33379 .39118 .33932 .40024 .33753 .39472 .33198 Metetra .583 .731 .945 r .39472 .33198 .40024 .33753 .40933 .33585 .40384 .33027 Metetra .576 .728 .946 r .40384 .33027 .40933 .33585 .41846 .33428 .41299 .32868 Metetra .568 .725 .948 r .41299 .32868 .41846 .33428 .42763 .33283 .42218 .3272 Metetra .56 .721 .949 r .42218 .3272 .42763 .33283 .43685 .33152 .43141 .32585 Metetra .551 .717 .95 r .43141 .32585 .43685 .33152 .4461 .33034 .44068 .32463 Metetra .541 .712 .951 r .44068 .32463 .4461 .33034 .4554 .32932 .45 .32357 Metetra .53 .706 .952 r .45 .32357 .4554 .32932 .46474 .32847 .45936 .32267 Metetra .519 .7 .952 r .45936 .32267 .46474 .32847 .47412 .3278 .46876 .32195 Metetra .506 .693 .952 r .46876 .32195 .47412 .3278 .48356 .32734 .47822 .32143 Metetra .492 .685 .952 r .47822 .32143 .48356 .32734 .49304 .32709 .48772 .32111 Metetra .476 .675 .952 r .48772 .32111 .49304 .32709 .50258 .32709 .49728 .32103 Metetra .46 .664 .951 r .49728 .32103 .50258 .32709 .51218 .32735 .50689 .3212 Metetra .441 .652 .949 r .50689 .3212 .51218 .32735 .52183 .32791 .51656 .32165 Metetra .421 .638 .946 r .51656 .32165 .52183 .32791 .53154 .32879 .52629 .3224 Metetra .4 .623 .942 r .52629 .3224 .53154 .32879 .54132 .33002 .53608 .32349 Metetra .377 .605 .937 r .53608 .32349 .54132 .33002 .55118 .33165 .54595 .32495 Metetra .352 .585 .931 r .54595 .32495 .55118 .33165 .5611 .33372 .55589 .3268 Metetra .327 .563 .923 r .55589 .3268 .5611 .33372 .57111 .33627 .5659 .32911 Metetra .3 .538 .913 r .5659 .32911 .57111 .33627 .58121 .33936 .576 .33189 Metetra .273 .511 .901 r .576 .33189 .58121 .33936 .5914 .34304 .5862 .33522 Metetra .246 .483 .887 r .5862 .33522 .5914 .34304 .60169 .34738 .59649 .33912 Metetra .222 .453 .871 r .59649 .33912 .60169 .34738 .6121 .35244 .60689 .34366 Metetra .199 .423 .853 r .60689 .34366 .6121 .35244 .62263 .35831 .6174 .34888 Metetra .182 .393 .834 r .6174 .34888 .62263 .35831 .6333 .36505 .62804 .35484 Metetra .169 .365 .814 r .62804 .35484 .6333 .36505 .64411 .37273 .63882 .36158 Metetra .164 .339 .794 r .63882 .36158 .64411 .37273 .65509 .38142 .64975 .36912 Metetra .168 .318 .773 r .64975 .36912 .65509 .38142 .66625 .39117 .66083 .37749 Metetra .18 .302 .753 r .66083 .37749 .66625 .39117 .67759 .402 .67207 .38665 Metetra .202 .292 .734 r .67207 .38665 .67759 .402 .68914 .41386 .68349 .39653 Metetra .231 .288 .716 r .68349 .39653 .68914 .41386 .70089 .42663 .69508 .40699 Metetra .268 .29 .699 r .69508 .40699 .70089 .42663 .7126 .43605 .70683 .41779 Metetra .321 .339 .724 r .70683 .41779 .7126 .43605 .72361 .4326 .71859 .42619 Metetra .645 .763 .934 r .71859 .42619 .72361 .4326 .73467 .42913 .72968 .4227 Metetra .645 .763 .934 r .72968 .4227 .73467 .42913 .74577 .42566 .74081 .4192 Metetra .645 .763 .934 r .74081 .4192 .74577 .42566 .75692 .42216 .75199 .41568 Metetra .981 .692 .373 r .75199 .41568 .75692 .42216 .76812 .41866 .74648 .19771 Metetra .551 .332 .536 r .74648 .19771 .76812 .41866 .76091 .19347 .75633 .18662 Metetra .664 .741 .908 r .75633 .18662 .76091 .19347 .77134 .18976 .76679 .18289 Metetra .664 .741 .908 r .76679 .18289 .77134 .18976 .78182 .18605 .7773 .17914 Metetra .664 .741 .908 r .17989 .38442 .18583 .38995 .19422 .38696 .1883 .38141 Metetra .664 .741 .908 r .1883 .38141 .19422 .38696 .20263 .38396 .19673 .37839 Metetra .664 .741 .908 r .19673 .37839 .20263 .38396 .21108 .38095 .20519 .37536 Metetra .664 .741 .908 r .20519 .37536 .21108 .38095 .21956 .37793 .21369 .37232 Metetra .663 .741 .908 r .21369 .37232 .21956 .37793 .22806 .3749 .22221 .36927 Metetra .662 .741 .908 r .22221 .36927 .22806 .3749 .23659 .37192 .23076 .36623 Metetra .651 .736 .912 r .23076 .36623 .23659 .37192 .24508 .36973 .23932 .36343 Metetra .537 .675 .927 r .23932 .36343 .24508 .36973 .25348 .36883 .24771 .36272 Metetra .558 .691 .928 r .24771 .36272 .25348 .36883 .26205 .36653 .25618 .36164 Metetra .657 .771 .934 r .25618 .36164 .26205 .36653 .27067 .36393 .26486 .35867 Metetra .643 .753 .929 r .26486 .35867 .27067 .36393 .27933 .36129 .27354 .35599 Metetra .639 .752 .93 r .27354 .35599 .27933 .36129 .28802 .35869 .28224 .35337 Metetra .636 .751 .931 r .28224 .35337 .28802 .35869 .29674 .35613 .29098 .35079 Metetra .633 .75 .932 r .29098 .35079 .29674 .35613 .30549 .35362 .29975 .34827 Metetra .63 .749 .933 r .29975 .34827 .30549 .35362 .31427 .35116 .30854 .34579 Metetra .627 .748 .935 r .30854 .34579 .31427 .35116 .32307 .34876 .31737 .34337 Metetra .623 .747 .936 r .31737 .34337 .32307 .34876 .33192 .34641 .32623 .341 Metetra .619 .746 .937 r .32623 .341 .33192 .34641 .34079 .34412 .33512 .3387 Metetra .615 .745 .938 r .33512 .3387 .34079 .34412 .34969 .3419 .34404 .33646 Metetra .611 .743 .939 r .34404 .33646 .34969 .3419 .35863 .33976 .353 .33429 Metetra .606 .741 .941 r .353 .33429 .35863 .33976 .3676 .33768 .36199 .3322 Metetra .601 .74 .942 r .36199 .3322 .3676 .33768 .37661 .33569 .37102 .33019 Metetra .595 .738 .943 r .37102 .33019 .37661 .33569 .38565 .33379 .38008 .32826 Metetra .589 .735 .945 r .38008 .32826 .38565 .33379 .39472 .33198 .38917 .32642 Metetra .583 .733 .946 r .38917 .32642 .39472 .33198 .40384 .33027 .3983 .32469 Metetra .576 .73 .947 r .3983 .32469 .40384 .33027 .41299 .32868 .40747 .32306 Metetra .569 .726 .948 r .40747 .32306 .41299 .32868 .42218 .3272 .41668 .32155 Metetra .561 .723 .949 r .41668 .32155 .42218 .3272 .43141 .32585 .42594 .32016 Metetra .552 .718 .95 r .42594 .32016 .43141 .32585 .44068 .32463 .43523 .31891 Metetra .542 .713 .951 r .43523 .31891 .44068 .32463 .45 .32357 .44456 .31781 Metetra .532 .708 .952 r .44456 .31781 .45 .32357 .45936 .32267 .45394 .31686 Metetra .521 .702 .953 r .45394 .31686 .45936 .32267 .46876 .32195 .46336 .31608 Metetra .508 .695 .953 r .46336 .31608 .46876 .32195 .47822 .32143 .47284 .31549 Metetra .495 .687 .953 r .47284 .31549 .47822 .32143 .48772 .32111 .48236 .31511 Metetra .481 .678 .952 r .48236 .31511 .48772 .32111 .49728 .32103 .49193 .31495 Metetra .465 .668 .951 r .49193 .31495 .49728 .32103 .50689 .3212 .50156 .31502 Metetra .448 .656 .949 r .50156 .31502 .50689 .3212 .51656 .32165 .51125 .31536 Metetra .429 .643 .947 r .51125 .31536 .51656 .32165 .52629 .3224 .521 .31599 Metetra .41 .628 .943 r .521 .31599 .52629 .3224 .53608 .32349 .53081 .31692 Metetra .389 .612 .938 r .53081 .31692 .53608 .32349 .54595 .32495 .54068 .3182 Metetra .367 .593 .933 r .54068 .3182 .54595 .32495 .55589 .3268 .55063 .31985 Metetra .344 .573 .925 r .55063 .31985 .55589 .3268 .5659 .32911 .56066 .3219 Metetra .321 .551 .916 r .56066 .3219 .5659 .32911 .576 .33189 .57077 .3244 Metetra .298 .527 .906 r .57077 .3244 .576 .33189 .5862 .33522 .58097 .32737 Metetra .275 .502 .893 r .58097 .32737 .5862 .33522 .59649 .33912 .59126 .33085 Metetra .255 .475 .879 r .59126 .33085 .59649 .33912 .60689 .34366 .60165 .33488 Metetra .237 .449 .864 r .60165 .33488 .60689 .34366 .6174 .34888 .61215 .3395 Metetra .223 .423 .847 r .61215 .3395 .6174 .34888 .62804 .35484 .62277 .34474 Metetra .214 .398 .829 r .62277 .34474 .62804 .35484 .63882 .36158 .63352 .35062 Metetra .212 .376 .81 r .63352 .35062 .63882 .36158 .64975 .36912 .6444 .35714 Metetra .216 .357 .792 r .6444 .35714 .64975 .36912 .66083 .37749 .65541 .36429 Metetra .228 .342 .773 r .65541 .36429 .66083 .37749 .67207 .38665 .66658 .37203 Metetra .247 .333 .755 r .66658 .37203 .67207 .38665 .68349 .39653 .67789 .38027 Metetra .273 .328 .738 r .67789 .38027 .68349 .39653 .69508 .40699 .68935 .38885 Metetra .304 .328 .721 r .68935 .38885 .69508 .40699 .70683 .41779 .70096 .39757 Metetra .339 .333 .706 r .70096 .39757 .70683 .41779 .71859 .42619 .71268 .40614 Metetra .353 .345 .711 r .71268 .40614 .71859 .42619 .72968 .4227 .72451 .41417 Metetra .568 .66 .899 r .72451 .41417 .72968 .4227 .74081 .4192 .73581 .41269 Metetra .645 .763 .934 r .73581 .41269 .74081 .4192 .75199 .41568 .74702 .40914 Metetra .981 .691 .372 r .74702 .40914 .75199 .41568 .74648 .19771 .74127 .18352 Metetra .631 .564 .761 r .74127 .18352 .74648 .19771 .75633 .18662 .75172 .17972 Metetra .664 .741 .908 r .75172 .17972 .75633 .18662 .76679 .18289 .76221 .17596 Metetra .664 .741 .908 r .76221 .17596 .76679 .18289 .7773 .17914 .77274 .17219 Metetra .664 .741 .908 r .17391 .37886 .17989 .38442 .1883 .38141 .18234 .37583 Metetra .664 .741 .908 r .18234 .37583 .1883 .38141 .19673 .37839 .19079 .37279 Metetra .664 .741 .908 r .19079 .37279 .19673 .37839 .20519 .37536 .19927 .36974 Metetra .664 .741 .908 r .19927 .36974 .20519 .37536 .21369 .37232 .20778 .36668 Metetra .664 .741 .908 r .20778 .36668 .21369 .37232 .22221 .36927 .21632 .36361 Metetra .663 .741 .908 r .21632 .36361 .22221 .36927 .23076 .36623 .22489 .36054 Metetra .659 .739 .909 r .22489 .36054 .23076 .36623 .23932 .36343 .23348 .35755 Metetra .577 .708 .931 r .23348 .35755 .23932 .36343 .24771 .36272 .24195 .35611 Metetra .532 .663 .92 r .24195 .35611 .24771 .36272 .25618 .36164 .25039 .3555 Metetra .622 .715 .912 r .25039 .3555 .25618 .36164 .26486 .35867 .25901 .35326 Metetra .637 .747 .928 r .25901 .35326 .26486 .35867 .27354 .35599 .2677 .35068 Metetra .639 .753 .931 r .2677 .35068 .27354 .35599 .28224 .35337 .27643 .34804 Metetra .636 .752 .932 r .27643 .34804 .28224 .35337 .29098 .35079 .28518 .34545 Metetra .633 .751 .933 r .28518 .34545 .29098 .35079 .29975 .34827 .29397 .34291 Metetra .63 .75 .934 r .29397 .34291 .29975 .34827 .30854 .34579 .30278 .34041 Metetra .626 .749 .935 r .30278 .34041 .30854 .34579 .31737 .34337 .31163 .33797 Metetra .623 .748 .937 r .31163 .33797 .31737 .34337 .32623 .341 .3205 .33559 Metetra .619 .747 .938 r .3205 .33559 .32623 .341 .33512 .3387 .32941 .33327 Metetra .615 .746 .939 r .32941 .33327 .33512 .3387 .34404 .33646 .33836 .33101 Metetra .61 .744 .94 r .33836 .33101 .34404 .33646 .353 .33429 .34733 .32882 Metetra .606 .743 .942 r .34733 .32882 .353 .33429 .36199 .3322 .35634 .32671 Metetra .601 .741 .943 r .35634 .32671 .36199 .3322 .37102 .33019 .36538 .32467 Metetra .595 .739 .944 r .36538 .32467 .37102 .33019 .38008 .32826 .37446 .32272 Metetra .589 .736 .945 r .37446 .32272 .38008 .32826 .38917 .32642 .38358 .32086 Metetra .583 .734 .947 r .38358 .32086 .38917 .32642 .3983 .32469 .39273 .31909 Metetra .576 .731 .948 r .39273 .31909 .3983 .32469 .40747 .32306 .40192 .31744 Metetra .569 .728 .949 r .40192 .31744 .40747 .32306 .41668 .32155 .41115 .31589 Metetra .561 .724 .95 r .41115 .31589 .41668 .32155 .42594 .32016 .42042 .31447 Metetra .553 .72 .951 r .42042 .31447 .42594 .32016 .43523 .31891 .42973 .31317 Metetra .544 .715 .952 r .42973 .31317 .43523 .31891 .44456 .31781 .43909 .31202 Metetra .534 .71 .952 r .43909 .31202 .44456 .31781 .45394 .31686 .44848 .31103 Metetra .523 .704 .953 r .44848 .31103 .45394 .31686 .46336 .31608 .45793 .31019 Metetra .511 .697 .953 r .45793 .31019 .46336 .31608 .47284 .31549 .46742 .30954 Metetra .498 .689 .953 r .46742 .30954 .47284 .31549 .48236 .31511 .47696 .30908 Metetra .485 .681 .952 r .47696 .30908 .48236 .31511 .49193 .31495 .48655 .30883 Metetra .47 .671 .951 r .48655 .30883 .49193 .31495 .50156 .31502 .4962 .30881 Metetra .454 .66 .95 r .4962 .30881 .50156 .31502 .51125 .31536 .5059 .30904 Metetra .437 .648 .947 r .5059 .30904 .51125 .31536 .521 .31599 .51567 .30954 Metetra .419 .634 .944 r .51567 .30954 .521 .31599 .53081 .31692 .52549 .31032 Metetra .401 .618 .94 r .52549 .31032 .53081 .31692 .54068 .3182 .53539 .31142 Metetra .381 .602 .934 r .53539 .31142 .54068 .3182 .55063 .31985 .54535 .31286 Metetra .361 .583 .927 r .54535 .31286 .55063 .31985 .56066 .3219 .55539 .31467 Metetra .341 .563 .919 r .55539 .31467 .56066 .3219 .57077 .3244 .5655 .31688 Metetra .321 .541 .91 r .5655 .31688 .57077 .3244 .58097 .32737 .57571 .31951 Metetra .302 .519 .899 r .57571 .31951 .58097 .32737 .59126 .33085 .586 .32259 Metetra .285 .496 .886 r .586 .32259 .59126 .33085 .60165 .33488 .59639 .32615 Metetra .27 .472 .873 r .59639 .32615 .60165 .33488 .61215 .3395 .60688 .33021 Metetra .259 .449 .858 r .60688 .33021 .61215 .3395 .62277 .34474 .61748 .33479 Metetra .253 .428 .842 r .61748 .33479 .62277 .34474 .63352 .35062 .6282 .33989 Metetra .252 .408 .825 r .6282 .33989 .63352 .35062 .6444 .35714 .63904 .3455 Metetra .256 .391 .808 r .63904 .3455 .6444 .35714 .65541 .36429 .65001 .3516 Metetra .267 .378 .791 r .65001 .3516 .65541 .36429 .66658 .37203 .66111 .35812 Metetra .284 .368 .774 r .66111 .35812 .66658 .37203 .67789 .38027 .67234 .36499 Metetra .307 .363 .757 r .67234 .36499 .67789 .38027 .68935 .38885 .6837 .37205 Metetra .334 .362 .742 r .6837 .37205 .68935 .38885 .70096 .39757 .69519 .37913 Metetra .364 .365 .727 r .69519 .37913 .70096 .39757 .71268 .40614 .70678 .38598 Metetra .396 .371 .714 r .70678 .38598 .71268 .40614 .72451 .41417 .71846 .39231 Metetra .422 .376 .702 r .71846 .39231 .72451 .41417 .73581 .41269 .73023 .39814 Metetra .977 .687 .397 r .73023 .39814 .73581 .41269 .74702 .40914 .72673 .18831 Metetra .55 .33 .534 r .72673 .18831 .74702 .40914 .74127 .18352 .73659 .17654 Metetra .663 .739 .906 r .73659 .17654 .74127 .18352 .75172 .17972 .74708 .17277 Metetra .664 .741 .908 r .74708 .17277 .75172 .17972 .76221 .17596 .7576 .16899 Metetra .664 .741 .908 r .7576 .16899 .76221 .17596 .77274 .17219 .76816 .16519 Metetra .664 .741 .908 r .1679 .37326 .17391 .37886 .18234 .37583 .17634 .37021 Metetra .664 .741 .908 r .17634 .37021 .18234 .37583 .19079 .37279 .18481 .36715 Metetra .664 .741 .908 r .18481 .36715 .19079 .37279 .19927 .36974 .19331 .36408 Metetra .664 .741 .908 r .19331 .36408 .19927 .36974 .20778 .36668 .20183 .361 Metetra .664 .741 .908 r .20183 .361 .20778 .36668 .21632 .36361 .21039 .35791 Metetra .663 .741 .908 r .21039 .35791 .21632 .36361 .22489 .36054 .21898 .35481 Metetra .662 .741 .908 r .21898 .35481 .22489 .36054 .23348 .35755 .22759 .35174 Metetra .647 .734 .912 r .22759 .35174 .23348 .35755 .24195 .35611 .2362 .34898 Metetra .502 .632 .911 r .2362 .34898 .24195 .35611 .25039 .3555 .2446 .3489 Metetra .514 .658 .925 r .2446 .3489 .25039 .3555 .25901 .35326 .25306 .34852 Metetra .663 .783 .938 r .25306 .34852 .25901 .35326 .2677 .35068 .26182 .34538 Metetra .639 .755 .932 r .26182 .34538 .2677 .35068 .27643 .34804 .27057 .34271 Metetra .636 .753 .933 r .27057 .34271 .27643 .34804 .28518 .34545 .27934 .3401 Metetra .633 .752 .934 r .27934 .3401 .28518 .34545 .29397 .34291 .28814 .33754 Metetra .629 .751 .935 r .28814 .33754 .29397 .34291 .30278 .34041 .29698 .33503 Metetra .626 .75 .936 r .29698 .33503 .30278 .34041 .31163 .33797 .30584 .33257 Metetra .622 .749 .938 r .30584 .33257 .31163 .33797 .3205 .33559 .31474 .33017 Metetra .619 .748 .939 r .31474 .33017 .3205 .33559 .32941 .33327 .32367 .32783 Metetra .615 .747 .94 r .32367 .32783 .32941 .33327 .33836 .33101 .33263 .32555 Metetra .61 .745 .941 r .33263 .32555 .33836 .33101 .34733 .32882 .34162 .32334 Metetra .606 .744 .942 r .34162 .32334 .34733 .32882 .35634 .32671 .35065 .3212 Metetra .601 .742 .944 r .35065 .3212 .35634 .32671 .36538 .32467 .35971 .31914 Metetra .595 .74 .945 r .35971 .31914 .36538 .32467 .37446 .32272 .36881 .31717 Metetra .59 .738 .946 r .36881 .31717 .37446 .32272 .38358 .32086 .37795 .31528 Metetra .583 .735 .947 r .37795 .31528 .38358 .32086 .39273 .31909 .38712 .31349 Metetra .577 .732 .948 r .38712 .31349 .39273 .31909 .40192 .31744 .39633 .3118 Metetra .57 .729 .949 r .39633 .3118 .40192 .31744 .41115 .31589 .40558 .31022 Metetra .562 .725 .95 r .40558 .31022 .41115 .31589 .42042 .31447 .41487 .30875 Metetra .554 .721 .951 r .41487 .30875 .42042 .31447 .42973 .31317 .4242 .30742 Metetra .545 .717 .952 r .4242 .30742 .42973 .31317 .43909 .31202 .43357 .30622 Metetra .535 .711 .953 r .43357 .30622 .43909 .31202 .44848 .31103 .44299 .30517 Metetra .525 .706 .953 r .44299 .30517 .44848 .31103 .45793 .31019 .45245 .30428 Metetra .514 .699 .953 r .45245 .30428 .45793 .31019 .46742 .30954 .46196 .30357 Metetra .502 .692 .953 r .46196 .30357 .46742 .30954 .47696 .30908 .47152 .30303 Metetra .489 .683 .953 r .47152 .30303 .47696 .30908 .48655 .30883 .48113 .3027 Metetra .475 .674 .951 r .48113 .3027 .48655 .30883 .4962 .30881 .4908 .30258 Metetra .461 .664 .95 r .4908 .30258 .4962 .30881 .5059 .30904 .50052 .30269 Metetra .445 .652 .948 r .50052 .30269 .5059 .30904 .51567 .30954 .5103 .30306 Metetra .429 .639 .944 r .5103 .30306 .51567 .30954 .52549 .31032 .52014 .30369 Metetra .412 .625 .94 r .52014 .30369 .52549 .31032 .53539 .31142 .53005 .30462 Metetra .394 .61 .936 r .53005 .30462 .53539 .31142 .54535 .31286 .54003 .30586 Metetra .376 .593 .929 r .54003 .30586 .54535 .31286 .55539 .31467 .55008 .30743 Metetra .359 .574 .922 r .55008 .30743 .55539 .31467 .5655 .31688 .56021 .30935 Metetra .342 .555 .914 r .56021 .30935 .5655 .31688 .57571 .31951 .57041 .31166 Metetra .325 .535 .904 r .57041 .31166 .57571 .31951 .586 .32259 .58071 .31436 Metetra .311 .514 .893 r .58071 .31436 .586 .32259 .59639 .32615 .5911 .31747 Metetra .299 .494 .88 r .5911 .31747 .59639 .32615 .60688 .33021 .60158 .32101 Metetra .291 .473 .867 r .60158 .32101 .60688 .33021 .61748 .33479 .61217 .32499 Metetra .286 .454 .852 r .61217 .32499 .61748 .33479 .6282 .33989 .62287 .32939 Metetra .286 .437 .837 r .62287 .32939 .6282 .33989 .63904 .3455 .63368 .3342 Metetra .291 .422 .822 r .63368 .3342 .63904 .3455 .65001 .3516 .64461 .33938 Metetra .301 .409 .806 r .64461 .33938 .65001 .3516 .66111 .35812 .65566 .34488 Metetra .316 .4 .79 r .65566 .34488 .66111 .35812 .67234 .36499 .66682 .3506 Metetra .335 .395 .775 r .66682 .3506 .67234 .36499 .6837 .37205 .67811 .35642 Metetra .359 .393 .76 r .67811 .35642 .6837 .37205 .69519 .37913 .6895 .36219 Metetra .385 .394 .747 r .6895 .36219 .69519 .37913 .70678 .38598 .70099 .3677 Metetra .413 .399 .734 r .70099 .3677 .70678 .38598 .71846 .39231 .71257 .37271 Metetra .934 .678 .526 r .71257 .37271 .71846 .39231 .73023 .39814 .71956 .30675 Metetra .838 .557 .513 r .71956 .30675 .73023 .39814 .72673 .18831 .72142 .1734 Metetra .628 .555 .753 r .72142 .1734 .72673 .18831 .73659 .17654 .73189 .16957 Metetra .664 .741 .908 r .73189 .16957 .73659 .17654 .74708 .17277 .7424 .16578 Metetra .664 .741 .908 r .7424 .16578 .74708 .17277 .7576 .16899 .75295 .16197 Metetra .664 .741 .908 r .75295 .16197 .7576 .16899 .76816 .16519 .76354 .15814 Metetra .664 .741 .908 r .16185 .36762 .1679 .37326 .17634 .37021 .1703 .36455 Metetra .664 .741 .908 r .1703 .36455 .17634 .37021 .18481 .36715 .17879 .36148 Metetra .664 .741 .908 r .17879 .36148 .18481 .36715 .19331 .36408 .1873 .35839 Metetra .664 .741 .908 r .1873 .35839 .19331 .36408 .20183 .361 .19585 .35529 Metetra .664 .741 .908 r .19585 .35529 .20183 .361 .21039 .35791 .20442 .35218 Metetra .664 .741 .908 r .20442 .35218 .21039 .35791 .21898 .35481 .21303 .34906 Metetra .663 .741 .908 r .21303 .34906 .21898 .35481 .22759 .35174 .22166 .34593 Metetra .658 .739 .909 r .22166 .34593 .22759 .35174 .2362 .34898 .23031 .34291 Metetra .584 .706 .927 r .23031 .34291 .2362 .34898 .2446 .3489 .23886 .34133 Metetra .489 .613 .902 r .23886 .34133 .2446 .3489 .25306 .34852 .24728 .34151 Metetra .591 .677 .9 r .24728 .34151 .25306 .34852 .26182 .34538 .25591 .33988 Metetra .63 .746 .931 r .25591 .33988 .26182 .34538 .27057 .34271 .26466 .33738 Metetra .636 .755 .934 r .26466 .33738 .27057 .34271 .27934 .3401 .27345 .33474 Metetra .632 .753 .935 r .27345 .33474 .27934 .3401 .28814 .33754 .28228 .33217 Metetra .629 .752 .936 r .28228 .33217 .28814 .33754 .29698 .33503 .29113 .32964 Metetra .626 .752 .937 r .29113 .32964 .29698 .33503 .30584 .33257 .30001 .32716 Metetra .622 .75 .938 r .30001 .32716 .30584 .33257 .31474 .33017 .30893 .32474 Metetra .618 .749 .94 r .30893 .32474 .31474 .33017 .32367 .32783 .31788 .32238 Metetra .614 .748 .941 r .31788 .32238 .32367 .32783 .33263 .32555 .32686 .32008 Metetra .61 .746 .942 r .32686 .32008 .33263 .32555 .34162 .32334 .33587 .31785 Metetra .606 .745 .943 r .33587 .31785 .34162 .32334 .35065 .3212 .34492 .31569 Metetra .601 .743 .944 r .34492 .31569 .35065 .3212 .35971 .31914 .354 .3136 Metetra .595 .741 .945 r .354 .3136 .35971 .31914 .36881 .31717 .36312 .3116 Metetra .59 .739 .947 r .36312 .3116 .36881 .31717 .37795 .31528 .37227 .30969 Metetra .584 .736 .948 r .37227 .30969 .37795 .31528 .38712 .31349 .38146 .30786 Metetra .577 .733 .949 r .38146 .30786 .38712 .31349 .39633 .3118 .39069 .30614 Metetra .57 .73 .95 r .39069 .30614 .39633 .3118 .40558 .31022 .39996 .30453 Metetra .563 .727 .951 r .39996 .30453 .40558 .31022 .41487 .30875 .40927 .30303 Metetra .555 .723 .952 r .40927 .30303 .41487 .30875 .4242 .30742 .41862 .30165 Metetra .546 .718 .953 r .41862 .30165 .4242 .30742 .43357 .30622 .42802 .3004 Metetra .537 .713 .953 r .42802 .3004 .43357 .30622 .44299 .30517 .43745 .2993 Metetra .527 .707 .953 r .43745 .2993 .44299 .30517 .45245 .30428 .44694 .29835 Metetra .517 .701 .954 r .44694 .29835 .45245 .30428 .46196 .30357 .45647 .29757 Metetra .505 .694 .953 r .45647 .29757 .46196 .30357 .47152 .30303 .46605 .29696 Metetra .493 .686 .953 r .46605 .29696 .47152 .30303 .48113 .3027 .47568 .29654 Metetra .481 .677 .952 r .47568 .29654 .48113 .3027 .4908 .30258 .48536 .29632 Metetra .467 .668 .95 r .48536 .29632 .4908 .30258 .50052 .30269 .4951 .29632 Metetra .453 .657 .948 r .4951 .29632 .50052 .30269 .5103 .30306 .5049 .29655 Metetra .438 .645 .945 r .5049 .29655 .5103 .30306 .52014 .30369 .51476 .29704 Metetra .422 .632 .941 r .51476 .29704 .52014 .30369 .53005 .30462 .52468 .29779 Metetra .407 .617 .937 r .52468 .29779 .53005 .30462 .54003 .30586 .53467 .29883 Metetra .391 .602 .931 r .53467 .29883 .54003 .30586 .55008 .30743 .54474 .30017 Metetra .375 .585 .925 r .54474 .30017 .55008 .30743 .56021 .30935 .55487 .30183 Metetra .361 .568 .917 r .55487 .30183 .56021 .30935 .57041 .31166 .56509 .30382 Metetra .347 .55 .908 r .56509 .30382 .57041 .31166 .58071 .31436 .57539 .30617 Metetra .335 .531 .898 r .57539 .30617 .58071 .31436 .5911 .31747 .58578 .30887 Metetra .325 .513 .887 r .58578 .30887 .5911 .31747 .60158 .32101 .59626 .31193 Metetra .318 .495 .875 r .59626 .31193 .60158 .32101 .61217 .32499 .60684 .31536 Metetra .315 .478 .862 r .60684 .31536 .61217 .32499 .62287 .32939 .61752 .31913 Metetra .316 .462 .848 r .61752 .31913 .62287 .32939 .63368 .3342 .62831 .32323 Metetra .32 .449 .834 r .62831 .32323 .63368 .3342 .64461 .33938 .63921 .32762 Metetra .329 .437 .82 r .63921 .32762 .64461 .33938 .65566 .34488 .65021 .33224 Metetra .343 .429 .806 r .65021 .33224 .65566 .34488 .66682 .3506 .66133 .337 Metetra .359 .423 .791 r .66133 .337 .66682 .3506 .67811 .35642 .67255 .3418 Metetra .38 .421 .778 r .67255 .3418 .67811 .35642 .6895 .36219 .68388 .34651 Metetra .402 .421 .765 r .68388 .34651 .6895 .36219 .70099 .3677 .6953 .35096 Metetra .396 .405 .751 r .6953 .35096 .70099 .3677 .71257 .37271 .70685 .35598 Metetra .974 .686 .414 r .70685 .35598 .71257 .37271 .71956 .30675 .70631 .17182 Metetra .544 .332 .543 r .70631 .17182 .71956 .30675 .72142 .1734 .71666 .16636 Metetra .663 .74 .907 r .71666 .16636 .72142 .1734 .73189 .16957 .72715 .16255 Metetra .664 .741 .908 r .72715 .16255 .73189 .16957 .7424 .16578 .73769 .15873 Metetra .664 .741 .908 r .73769 .15873 .7424 .16578 .75295 .16197 .74827 .15489 Metetra .664 .741 .908 r .74827 .15489 .75295 .16197 .76354 .15814 .75889 .15104 Metetra .664 .741 .908 r .15576 .36195 .16185 .36762 .1703 .36455 .16423 .35886 Metetra .664 .741 .908 r .16423 .35886 .1703 .36455 .17879 .36148 .17273 .35577 Metetra .664 .741 .908 r .17273 .35577 .17879 .36148 .1873 .35839 .18126 .35266 Metetra .664 .741 .908 r .18126 .35266 .1873 .35839 .19585 .35529 .18982 .34954 Metetra .664 .741 .908 r .18982 .34954 .19585 .35529 .20442 .35218 .19842 .34641 Metetra .664 .741 .908 r .19842 .34641 .20442 .35218 .21303 .34906 .20704 .34326 Metetra .663 .741 .908 r .20704 .34326 .21303 .34906 .22166 .34593 .21569 .34012 Metetra .662 .741 .908 r .21569 .34012 .22166 .34593 .23031 .34291 .22437 .33698 Metetra .65 .734 .911 r .22437 .33698 .23031 .34291 .23886 .34133 .23305 .3341 Metetra .513 .637 .909 r .23305 .3341 .23886 .34133 .24728 .34151 .24152 .33382 Metetra .325 .527 .898 r .24152 .33382 .24728 .34151 .25591 .33988 .24981 .33604 Metetra .702 .831 .944 r .24981 .33604 .25591 .33988 .26466 .33738 .25872 .33199 Metetra .635 .754 .934 r .25872 .33199 .26466 .33738 .27345 .33474 .26753 .32937 Metetra .632 .754 .936 r .26753 .32937 .27345 .33474 .28228 .33217 .27637 .32678 Metetra .629 .753 .937 r .27637 .32678 .28228 .33217 .29113 .32964 .28524 .32423 Metetra .626 .752 .938 r .28524 .32423 .29113 .32964 .30001 .32716 .29414 .32174 Metetra .622 .751 .939 r .29414 .32174 .30001 .32716 .30893 .32474 .30308 .3193 Metetra .618 .75 .94 r .30308 .3193 .30893 .32474 .31788 .32238 .31204 .31692 Metetra .614 .749 .941 r .31204 .31692 .31788 .32238 .32686 .32008 .32104 .3146 Metetra .61 .748 .943 r .32104 .3146 .32686 .32008 .33587 .31785 .33007 .31234 Metetra .606 .746 .944 r .33007 .31234 .33587 .31785 .34492 .31569 .33914 .31016 Metetra .601 .744 .945 r .33914 .31016 .34492 .31569 .354 .3136 .34824 .30805 Metetra .596 .742 .946 r .34824 .30805 .354 .3136 .36312 .3116 .35738 .30602 Metetra .59 .74 .947 r .35738 .30602 .36312 .3116 .37227 .30969 .36656 .30408 Metetra .584 .737 .948 r .36656 .30408 .37227 .30969 .38146 .30786 .37577 .30223 Metetra .578 .735 .949 r .37577 .30223 .38146 .30786 .39069 .30614 .38502 .30047 Metetra .571 .731 .95 r .38502 .30047 .39069 .30614 .39996 .30453 .39431 .29882 Metetra .564 .728 .951 r .39431 .29882 .39996 .30453 .40927 .30303 .40364 .29728 Metetra .556 .724 .952 r .40364 .29728 .40927 .30303 .41862 .30165 .41301 .29586 Metetra .548 .72 .953 r .41301 .29586 .41862 .30165 .42802 .3004 .42242 .29457 Metetra .539 .715 .953 r .42242 .29457 .42802 .3004 .43745 .2993 .43188 .29341 Metetra .53 .709 .954 r .43188 .29341 .43745 .2993 .44694 .29835 .44138 .2924 Metetra .52 .703 .954 r .44138 .2924 .44694 .29835 .45647 .29757 .45093 .29154 Metetra .509 .696 .954 r .45093 .29154 .45647 .29757 .46605 .29696 .46053 .29086 Metetra .498 .689 .953 r .46053 .29086 .46605 .29696 .47568 .29654 .47018 .29035 Metetra .486 .681 .952 r .47018 .29035 .47568 .29654 .48536 .29632 .47989 .29003 Metetra .473 .671 .95 r .47989 .29003 .48536 .29632 .4951 .29632 .48964 .28992 Metetra .46 .661 .948 r .48964 .28992 .4951 .29632 .5049 .29655 .49946 .29003 Metetra .446 .65 .946 r .49946 .29003 .5049 .29655 .51476 .29704 .50934 .29036 Metetra .433 .638 .942 r .50934 .29036 .51476 .29704 .52468 .29779 .51928 .29095 Metetra .418 .625 .938 r .51928 .29095 .52468 .29779 .53467 .29883 .52928 .29179 Metetra .404 .61 .933 r .52928 .29179 .53467 .29883 .54474 .30017 .53936 .29291 Metetra .391 .595 .927 r .53936 .29291 .54474 .30017 .55487 .30183 .54951 .29431 Metetra .378 .58 .92 r .54951 .29431 .55487 .30183 .56509 .30382 .55973 .29601 Metetra .366 .563 .912 r .55973 .29601 .56509 .30382 .57539 .30617 .57004 .29802 Metetra .356 .547 .903 r .57004 .29802 .57539 .30617 .58578 .30887 .58043 .30033 Metetra .348 .53 .893 r .58043 .30033 .58578 .30887 .59626 .31193 .59091 .30296 Metetra .343 .514 .882 r .59091 .30296 .59626 .31193 .60684 .31536 .60149 .30589 Metetra .34 .499 .871 r .60149 .30589 .60684 .31536 .61752 .31913 .61216 .30911 Metetra .341 .485 .858 r .61216 .30911 .61752 .31913 .62831 .32323 .62293 .31258 Metetra .346 .473 .846 r .62293 .31258 .62831 .32323 .63921 .32762 .6338 .31628 Metetra .354 .463 .832 r .6338 .31628 .63921 .32762 .65021 .33224 .64478 .32014 Metetra .365 .455 .819 r .64478 .32014 .65021 .33224 .66133 .337 .65585 .3241 Metetra .38 .449 .806 r .65585 .3241 .66133 .337 .67255 .3418 .66703 .32805 Metetra .398 .446 .794 r .66703 .32805 .67255 .3418 .68388 .34651 .6783 .33189 Metetra .394 .431 .781 r .6783 .33189 .68388 .34651 .6953 .35096 .6897 .33613 Metetra .974 .692 .433 r .6897 .33613 .6953 .35096 .70685 .35598 .69239 .19169 Metetra .591 .362 .537 r .69239 .19169 .70685 .35598 .70631 .17182 .70137 .16314 Metetra .658 .687 .866 r .70137 .16314 .70631 .17182 .71666 .16636 .71185 .15932 Metetra .664 .741 .908 r .71185 .15932 .71666 .16636 .72715 .16255 .72238 .15548 Metetra .664 .741 .908 r .72238 .15548 .72715 .16255 .73769 .15873 .73295 .15163 Metetra .664 .741 .908 r .73295 .15163 .73769 .15873 .74827 .15489 .74355 .14777 Metetra .664 .741 .908 r .74355 .14777 .74827 .15489 .75889 .15104 .7542 .14389 Metetra .664 .741 .908 r .14963 .35624 .15576 .36195 .16423 .35886 .15812 .35314 Metetra .664 .741 .908 r .15812 .35314 .16423 .35886 .17273 .35577 .16663 .35002 Metetra .664 .741 .908 r .16663 .35002 .17273 .35577 .18126 .35266 .17518 .34689 Metetra .664 .741 .908 r .17518 .34689 .18126 .35266 .18982 .34954 .18376 .34375 Metetra .664 .741 .908 r .18376 .34375 .18982 .34954 .19842 .34641 .19237 .3406 Metetra .664 .741 .908 r .19237 .3406 .19842 .34641 .20704 .34326 .20101 .33744 Metetra .664 .741 .908 r .20101 .33744 .20704 .34326 .21569 .34012 .20968 .33426 Metetra .663 .741 .908 r .20968 .33426 .21569 .34012 .22437 .33698 .21838 .33108 Metetra .66 .74 .909 r .21838 .33108 .22437 .33698 .23305 .3341 .2271 .32796 Metetra .627 .722 .915 r .2271 .32796 .23305 .3341 .24152 .33382 .23579 .32554 Metetra .483 .591 .886 r .23579 .32554 .24152 .33382 .24981 .33604 .24425 .3259 Metetra .498 .548 .838 r .24425 .3259 .24981 .33604 .25872 .33199 .25275 .32634 Metetra .616 .739 .934 r .25275 .32634 .25872 .33199 .26753 .32937 .26155 .32405 Metetra .635 .759 .937 r .26155 .32405 .26753 .32937 .27637 .32678 .27041 .32138 Metetra .629 .754 .938 r .27041 .32138 .27637 .32678 .28524 .32423 .2793 .31881 Metetra .625 .753 .939 r .2793 .31881 .28524 .32423 .29414 .32174 .28823 .3163 Metetra .622 .752 .94 r .28823 .3163 .29414 .32174 .30308 .3193 .29718 .31384 Metetra .618 .751 .941 r .29718 .31384 .30308 .3193 .31204 .31692 .30617 .31144 Metetra .614 .75 .942 r .30617 .31144 .31204 .31692 .32104 .3146 .31519 .3091 Metetra .61 .748 .943 r .31519 .3091 .32104 .3146 .33007 .31234 .32424 .30682 Metetra .606 .747 .944 r .32424 .30682 .33007 .31234 .33914 .31016 .33332 .30462 Metetra .601 .745 .946 r .33332 .30462 .33914 .31016 .34824 .30805 .34245 .30248 Metetra .596 .743 .947 r .34245 .30248 .34824 .30805 .35738 .30602 .3516 .30043 Metetra .59 .741 .948 r .3516 .30043 .35738 .30602 .36656 .30408 .3608 .29845 Metetra .585 .738 .949 r .3608 .29845 .36656 .30408 .37577 .30223 .37003 .29657 Metetra .578 .736 .95 r .37003 .29657 .37577 .30223 .38502 .30047 .3793 .29478 Metetra .572 .733 .951 r .3793 .29478 .38502 .30047 .39431 .29882 .38861 .29309 Metetra .565 .729 .952 r .38861 .29309 .39431 .29882 .40364 .29728 .39796 .29151 Metetra .557 .725 .953 r .39796 .29151 .40364 .29728 .41301 .29586 .40735 .29005 Metetra .55 .721 .953 r .40735 .29005 .41301 .29586 .42242 .29457 .41679 .2887 Metetra .541 .716 .954 r .41679 .2887 .42242 .29457 .43188 .29341 .42626 .28749 Metetra .532 .711 .954 r .42626 .28749 .43188 .29341 .44138 .2924 .43579 .28642 Metetra .523 .705 .954 r .43579 .28642 .44138 .2924 .45093 .29154 .44536 .2855 Metetra .513 .699 .954 r .44536 .2855 .45093 .29154 .46053 .29086 .45498 .28473 Metetra .502 .692 .953 r .45498 .28473 .46053 .29086 .47018 .29035 .46465 .28414 Metetra .491 .684 .952 r .46465 .28414 .47018 .29035 .47989 .29003 .47437 .28372 Metetra .479 .675 .951 r .47437 .28372 .47989 .29003 .48964 .28992 .48415 .2835 Metetra .467 .665 .949 r .48415 .2835 .48964 .28992 .49946 .29003 .49398 .28348 Metetra .455 .655 .946 r .49398 .28348 .49946 .29003 .50934 .29036 .50388 .28367 Metetra .442 .644 .943 r .50388 .28367 .50934 .29036 .51928 .29095 .51383 .28409 Metetra .43 .632 .939 r .51383 .28409 .51928 .29095 .52928 .29179 .52386 .28475 Metetra .417 .619 .935 r .52386 .28475 .52928 .29179 .53936 .29291 .53395 .28565 Metetra .405 .605 .929 r .53395 .28565 .53936 .29291 .54951 .29431 .54411 .28681 Metetra .394 .591 .923 r .54411 .28681 .54951 .29431 .55973 .29601 .55434 .28823 Metetra .384 .576 .915 r .55434 .28823 .55973 .29601 .57004 .29802 .56466 .28992 Metetra .375 .561 .907 r .56466 .28992 .57004 .29802 .58043 .30033 .57506 .29188 Metetra .369 .547 .898 r .57506 .29188 .58043 .30033 .59091 .30296 .58554 .29411 Metetra .364 .532 .889 r .58554 .29411 .59091 .30296 .60149 .30589 .59611 .29659 Metetra .362 .518 .878 r .59611 .29659 .60149 .30589 .61216 .30911 .60678 .2993 Metetra .363 .506 .867 r .60678 .2993 .61216 .30911 .62293 .31258 .61753 .30223 Metetra .368 .495 .856 r .61753 .30223 .62293 .31258 .6338 .31628 .62839 .30532 Metetra .375 .485 .844 r .62839 .30532 .6338 .31628 .64478 .32014 .63934 .30854 Metetra .385 .478 .832 r .63934 .30854 .64478 .32014 .65585 .3241 .65039 .31181 Metetra .398 .472 .82 r .65039 .31181 .65585 .3241 .66703 .32805 .66153 .31505 Metetra .405 .464 .808 r .66153 .31505 .66703 .32805 .6783 .33189 .67277 .31837 Metetra .904 .559 .085 r .67277 .31837 .6783 .33189 .6897 .33613 .68762 .38672 Metetra .935 .7 .221 r .68762 .38672 .6897 .33613 .69239 .19169 .68604 .16 Metetra .581 .426 .636 r .68604 .16 .69239 .19169 .70137 .16314 .69651 .15607 Metetra .664 .741 .908 r .69651 .15607 .70137 .16314 .71185 .15932 .70702 .15223 Metetra .664 .741 .908 r .70702 .15223 .71185 .15932 .72238 .15548 .71757 .14836 Metetra .664 .741 .908 r .71757 .14836 .72238 .15548 .73295 .15163 .72817 .14449 Metetra .664 .741 .908 r .72817 .14449 .73295 .15163 .74355 .14777 .7388 .14059 Metetra .664 .741 .908 r .7388 .14059 .74355 .14777 .7542 .14389 .74948 .13669 Metetra .664 .741 .908 r .14346 .3505 .14963 .35624 .15812 .35314 .15196 .34737 Metetra .664 .741 .908 r .15196 .34737 .15812 .35314 .16663 .35002 .1605 .34423 Metetra .664 .741 .908 r .1605 .34423 .16663 .35002 .17518 .34689 .16906 .34108 Metetra .664 .741 .908 r .16906 .34108 .17518 .34689 .18376 .34375 .17766 .33792 Metetra .664 .741 .908 r .17766 .33792 .18376 .34375 .19237 .3406 .18629 .33475 Metetra .664 .741 .908 r .18629 .33475 .19237 .3406 .20101 .33744 .19494 .33157 Metetra .664 .741 .908 r .19494 .33157 .20101 .33744 .20968 .33426 .20363 .32837 Metetra .663 .741 .908 r .20363 .32837 .20968 .33426 .21838 .33108 .21235 .32517 Metetra .663 .741 .908 r .21235 .32517 .21838 .33108 .2271 .32796 .22109 .32197 Metetra .658 .737 .909 r .22109 .32197 .2271 .32796 .23579 .32554 .22986 .31887 Metetra .598 .695 .911 r .22986 .31887 .23579 .32554 .24425 .3259 .23854 .31701 Metetra .644 .219 0 r .23854 .31701 .24425 .3259 .25275 .32634 .24594 .32936 Metetra .869 .995 .79 r .24594 .32936 .25275 .32634 .26155 .32405 .25557 .31825 Metetra .615 .735 .931 r .25557 .31825 .26155 .32405 .27041 .32138 .26442 .31595 Metetra .628 .755 .938 r .26442 .31595 .27041 .32138 .2793 .31881 .27333 .31339 Metetra .625 .755 .939 r .27333 .31339 .2793 .31881 .28823 .3163 .28227 .31085 Metetra .622 .753 .94 r .28227 .31085 .28823 .3163 .29718 .31384 .29124 .30837 Metetra .618 .752 .942 r .29124 .30837 .29718 .31384 .30617 .31144 .30025 .30595 Metetra .614 .751 .943 r .30025 .30595 .30617 .31144 .31519 .3091 .30928 .30359 Metetra .61 .749 .944 r .30928 .30359 .31519 .3091 .32424 .30682 .31836 .30129 Metetra .606 .748 .945 r .31836 .30129 .32424 .30682 .33332 .30462 .32746 .29906 Metetra .601 .746 .946 r .32746 .29906 .33332 .30462 .34245 .30248 .33661 .2969 Metetra .596 .744 .947 r .33661 .2969 .34245 .30248 .3516 .30043 .34578 .29481 Metetra .591 .742 .948 r .34578 .29481 .3516 .30043 .3608 .29845 .355 .29281 Metetra .585 .739 .949 r .355 .29281 .3608 .29845 .37003 .29657 .36425 .2909 Metetra .579 .737 .95 r .36425 .2909 .37003 .29657 .3793 .29478 .37354 .28907 Metetra .573 .734 .951 r .37354 .28907 .3793 .29478 .38861 .29309 .38287 .28735 Metetra .566 .73 .952 r .38287 .28735 .38861 .29309 .39796 .29151 .39224 .28572 Metetra .559 .727 .953 r .39224 .28572 .39796 .29151 .40735 .29005 .40165 .28421 Metetra .551 .723 .953 r .40165 .28421 .40735 .29005 .41679 .2887 .41111 .28282 Metetra .543 .718 .954 r .41111 .28282 .41679 .2887 .42626 .28749 .42061 .28155 Metetra .535 .713 .954 r .42061 .28155 .42626 .28749 .43579 .28642 .43015 .28042 Metetra .526 .707 .954 r .43015 .28042 .43579 .28642 .44536 .2855 .43974 .27943 Metetra .516 .701 .954 r .43974 .27943 .44536 .2855 .45498 .28473 .44938 .27858 Metetra .506 .694 .953 r .44938 .27858 .45498 .28473 .46465 .28414 .45907 .2779 Metetra .496 .687 .952 r .45907 .2779 .46465 .28414 .47437 .28372 .46882 .27739 Metetra .485 .679 .951 r .46882 .27739 .47437 .28372 .48415 .2835 .47861 .27705 Metetra .474 .67 .949 r .47861 .27705 .48415 .2835 .49398 .28348 .48847 .27691 Metetra .463 .66 .947 r .48847 .27691 .49398 .28348 .50388 .28367 .49838 .27696 Metetra .451 .65 .944 r .49838 .27696 .50388 .28367 .51383 .28409 .50835 .27722 Metetra .44 .638 .94 r .50835 .27722 .51383 .28409 .52386 .28475 .51839 .27769 Metetra .429 .626 .936 r .51839 .27769 .52386 .28475 .53395 .28565 .5285 .27839 Metetra .418 .614 .931 r .5285 .27839 .53395 .28565 .54411 .28681 .53867 .27932 Metetra .408 .601 .925 r .53867 .27932 .54411 .28681 .55434 .28823 .54892 .28048 Metetra .4 .588 .919 r .54892 .28048 .55434 .28823 .56466 .28992 .55925 .28188 Metetra .392 .574 .911 r .55925 .28188 .56466 .28992 .57506 .29188 .56965 .28351 Metetra .387 .561 .903 r .56965 .28351 .57506 .29188 .58554 .29411 .58014 .28537 Metetra .383 .548 .894 r .58014 .28537 .58554 .29411 .59611 .29659 .59071 .28744 Metetra .382 .536 .885 r .59071 .28744 .59611 .29659 .60678 .2993 .60137 .28971 Metetra .383 .525 .875 r .60137 .28971 .60678 .2993 .61753 .30223 .61212 .29214 Metetra .387 .514 .865 r .61212 .29214 .61753 .30223 .62839 .30532 .62297 .29471 Metetra .393 .506 .854 r .62297 .29471 .62839 .30532 .63934 .30854 .6339 .29737 Metetra .402 .499 .843 r .6339 .29737 .63934 .30854 .65039 .31181 .64493 .30005 Metetra .408 .49 .832 r .64493 .30005 .65039 .31181 .66153 .31505 .65605 .30281 Metetra .933 .59 .154 r .65605 .30281 .66153 .31505 .67277 .31837 .67105 .38363 Metetra .896 .684 .172 r .67105 .38363 .67277 .31837 .68762 .38672 .67068 .15716 Metetra .53 .31 .526 r .67068 .15716 .68762 .38672 .68604 .16 .68111 .15282 Metetra .663 .738 .905 r .68111 .15282 .68604 .16 .69651 .15607 .69161 .14896 Metetra .664 .741 .908 r .69161 .14896 .69651 .15607 .70702 .15223 .70215 .14508 Metetra .664 .741 .908 r .70215 .14508 .70702 .15223 .71757 .14836 .71273 .14119 Metetra .664 .741 .908 r .71273 .14119 .71757 .14836 .72817 .14449 .72335 .13729 Metetra .664 .741 .908 r .72335 .13729 .72817 .14449 .7388 .14059 .73402 .13337 Metetra .664 .741 .908 r .73402 .13337 .7388 .14059 .74948 .13669 .74473 .12943 Metetra .664 .741 .908 r .13725 .34472 .14346 .3505 .15196 .34737 .14577 .34157 Metetra .664 .741 .908 r .14577 .34157 .15196 .34737 .1605 .34423 .15432 .33841 Metetra .664 .741 .908 r .15432 .33841 .1605 .34423 .16906 .34108 .1629 .33524 Metetra .664 .741 .908 r .1629 .33524 .16906 .34108 .17766 .33792 .17152 .33206 Metetra .664 .741 .908 r .17152 .33206 .17766 .33792 .18629 .33475 .18016 .32887 Metetra .664 .741 .908 r .18016 .32887 .18629 .33475 .19494 .33157 .18883 .32566 Metetra .664 .741 .908 r .18883 .32566 .19494 .33157 .20363 .32837 .19754 .32245 Metetra .664 .741 .908 r .19754 .32245 .20363 .32837 .21235 .32517 .20628 .31922 Metetra .663 .741 .908 r .20628 .31922 .21235 .32517 .22109 .32197 .21504 .31599 Metetra .662 .741 .908 r .21504 .31599 .22109 .32197 .22986 .31887 .22384 .31276 Metetra .653 .734 .909 r .22384 .31276 .22986 .31887 .23854 .31701 .23265 .30973 Metetra .582 .67 .9 r .23265 .30973 .23854 .31701 .24594 .32936 .24134 .30819 Metetra .42 .355 .679 r .24134 .30819 .24594 .32936 .25557 .31825 .24955 .3124 Metetra .567 .718 .944 r .24955 .3124 .25557 .31825 .26442 .31595 .25834 .31091 Metetra .649 .777 .942 r .25834 .31091 .26442 .31595 .27333 .31339 .26731 .30789 Metetra .623 .753 .94 r .26731 .30789 .27333 .31339 .28227 .31085 .27626 .30538 Metetra .622 .754 .941 r .27626 .30538 .28227 .31085 .29124 .30837 .28526 .30288 Metetra .618 .753 .942 r .28526 .30288 .29124 .30837 .30025 .30595 .29428 .30044 Metetra .614 .752 .943 r .29428 .30044 .30025 .30595 .30928 .30359 .30334 .29806 Metetra .61 .75 .944 r .30334 .29806 .30928 .30359 .31836 .30129 .31243 .29573 Metetra .606 .749 .946 r .31243 .29573 .31836 .30129 .32746 .29906 .32156 .29348 Metetra .601 .747 .947 r .32156 .29348 .32746 .29906 .33661 .2969 .33072 .29129 Metetra .596 .745 .948 r .33072 .29129 .33661 .2969 .34578 .29481 .33992 .28918 Metetra .591 .743 .949 r .33992 .28918 .34578 .29481 .355 .29281 .34916 .28715 Metetra .586 .741 .95 r .34916 .28715 .355 .29281 .36425 .2909 .35843 .2852 Metetra .58 .738 .951 r .35843 .2852 .36425 .2909 .37354 .28907 .36774 .28334 Metetra .574 .735 .952 r .36774 .28334 .37354 .28907 .38287 .28735 .37709 .28158 Metetra .567 .732 .952 r .37709 .28158 .38287 .28735 .39224 .28572 .38648 .27991 Metetra .56 .728 .953 r .38648 .27991 .39224 .28572 .40165 .28421 .39591 .27836 Metetra .553 .724 .954 r .39591 .27836 .40165 .28421 .41111 .28282 .40539 .27691 Metetra .545 .72 .954 r .40539 .27691 .41111 .28282 .42061 .28155 .41491 .27559 Metetra .537 .715 .954 r .41491 .27559 .42061 .28155 .43015 .28042 .42447 .27439 Metetra .529 .709 .954 r .42447 .27439 .43015 .28042 .43974 .27943 .43409 .27333 Metetra .52 .703 .954 r .43409 .27333 .43974 .27943 .44938 .27858 .44375 .27241 Metetra .51 .697 .953 r .44375 .27241 .44938 .27858 .45907 .2779 .45346 .27164 Metetra .501 .69 .952 r .45346 .27164 .45907 .2779 .46882 .27739 .46322 .27103 Metetra .491 .682 .951 r .46322 .27103 .46882 .27739 .47861 .27705 .47304 .27059 Metetra .48 .674 .949 r .47304 .27059 .47861 .27705 .48847 .27691 .48291 .27032 Metetra .47 .665 .947 r .48291 .27032 .48847 .27691 .49838 .27696 .49284 .27023 Metetra .46 .655 .945 r .49284 .27023 .49838 .27696 .50835 .27722 .50283 .27033 Metetra .45 .645 .941 r .50283 .27033 .50835 .27722 .51839 .27769 .51289 .27064 Metetra .44 .634 .937 r .51289 .27064 .51839 .27769 .5285 .27839 .52301 .27114 Metetra .43 .622 .933 r .52301 .27114 .5285 .27839 .53867 .27932 .5332 .27185 Metetra .422 .611 .927 r .5332 .27185 .53867 .27932 .54892 .28048 .54346 .27276 Metetra .414 .599 .921 r .54346 .27276 .54892 .28048 .55925 .28188 .5538 .27389 Metetra .408 .587 .915 r .5538 .27389 .55925 .28188 .56965 .28351 .56421 .27521 Metetra .403 .575 .907 r .56421 .27521 .56965 .28351 .58014 .28537 .57471 .27674 Metetra .4 .563 .899 r .57471 .27674 .58014 .28537 .59071 .28744 .58528 .27844 Metetra .399 .552 .891 r .58528 .27844 .59071 .28744 .60137 .28971 .59594 .28031 Metetra .4 .542 .882 r .59594 .28031 .60137 .28971 .61212 .29214 .60669 .28231 Metetra .404 .532 .873 r .60669 .28231 .61212 .29214 .62297 .29471 .61753 .28441 Metetra .409 .524 .863 r .61753 .28441 .62297 .29471 .6339 .29737 .62845 .28658 Metetra .414 .516 .853 r .62845 .28658 .6339 .29737 .64493 .30005 .63947 .28883 Metetra .852 .483 0 r .63947 .28883 .64493 .30005 .65605 .30281 .65231 .3314 Metetra .971 .725 .299 r .65231 .3314 .65605 .30281 .67105 .38363 .65527 .15467 Metetra .53 .309 .524 r .65527 .15467 .67105 .38363 .67068 .15716 .66566 .14955 Metetra .662 .724 .895 r .66566 .14955 .67068 .15716 .68111 .15282 .67615 .14568 Metetra .664 .741 .908 r .67615 .14568 .68111 .15282 .69161 .14896 .68667 .14179 Metetra .664 .741 .908 r .68667 .14179 .69161 .14896 .70215 .14508 .69724 .13789 Metetra .664 .741 .908 r .69724 .13789 .70215 .14508 .71273 .14119 .70785 .13397 Metetra .664 .741 .908 r .70785 .13397 .71273 .14119 .72335 .13729 .71851 .13004 Metetra .664 .741 .908 r .71851 .13004 .72335 .13729 .73402 .13337 .7292 .12609 Metetra .664 .741 .908 r .7292 .12609 .73402 .13337 .74473 .12943 .73994 .12212 Metetra .664 .741 .908 r .131 .3389 .13725 .34472 .14577 .34157 .13954 .33573 Metetra .664 .741 .908 r .13954 .33573 .14577 .34157 .15432 .33841 .14811 .33255 Metetra .664 .741 .908 r .14811 .33255 .15432 .33841 .1629 .33524 .15671 .32936 Metetra .664 .741 .908 r .15671 .32936 .1629 .33524 .17152 .33206 .16534 .32616 Metetra .664 .741 .908 r .16534 .32616 .17152 .33206 .18016 .32887 .174 .32294 Metetra .664 .741 .908 r .174 .32294 .18016 .32887 .18883 .32566 .18269 .31972 Metetra .664 .741 .908 r .18269 .31972 .18883 .32566 .19754 .32245 .19141 .31648 Metetra .664 .741 .908 r .19141 .31648 .19754 .32245 .20628 .31922 .20016 .31323 Metetra .664 .741 .908 r .20016 .31323 .20628 .31922 .21504 .31599 .20895 .30997 Metetra .663 .741 .908 r .20895 .30997 .21504 .31599 .22384 .31276 .21776 .30671 Metetra .662 .74 .908 r .21776 .30671 .22384 .31276 .23265 .30973 .22661 .30346 Metetra .65 .73 .907 r .22661 .30346 .23265 .30973 .24134 .30819 .23546 .30047 Metetra .47 .608 .906 r .23546 .30047 .24134 .30819 .24955 .3124 .24403 .30079 Metetra .47 .505 .812 r .24403 .30079 .24955 .3124 .25834 .31091 .25258 .30191 Metetra .459 .564 .874 r .25258 .30191 .25834 .31091 .26731 .30789 .26122 .3027 Metetra .636 .77 .944 r .26122 .3027 .26731 .30789 .27626 .30538 .27022 .29991 Metetra .622 .755 .942 r .27022 .29991 .27626 .30538 .28526 .30288 .27923 .29737 Metetra .618 .754 .943 r .27923 .29737 .28526 .30288 .29428 .30044 .28827 .29491 Metetra .614 .753 .944 r .28827 .29491 .29428 .30044 .30334 .29806 .29735 .29251 Metetra .61 .751 .945 r .29735 .29251 .30334 .29806 .31243 .29573 .30646 .29016 Metetra .606 .75 .946 r .30646 .29016 .31243 .29573 .32156 .29348 .31561 .28788 Metetra .601 .748 .947 r .31561 .28788 .32156 .29348 .33072 .29129 .32479 .28567 Metetra .596 .746 .948 r .32479 .28567 .33072 .29129 .33992 .28918 .33401 .28353 Metetra .591 .744 .949 r .33401 .28353 .33992 .28918 .34916 .28715 .34327 .28147 Metetra .586 .742 .95 r .34327 .28147 .34916 .28715 .35843 .2852 .35256 .27948 Metetra .58 .739 .951 r .35256 .27948 .35843 .2852 .36774 .28334 .36189 .27759 Metetra .575 .736 .952 r .36189 .27759 .36774 .28334 .37709 .28158 .37127 .27579 Metetra .568 .733 .953 r .37127 .27579 .37709 .28158 .38648 .27991 .38068 .27408 Metetra .562 .729 .953 r .38068 .27408 .38648 .27991 .39591 .27836 .39013 .27247 Metetra .555 .725 .954 r .39013 .27247 .39591 .27836 .40539 .27691 .39963 .27098 Metetra .547 .721 .954 r .39963 .27098 .40539 .27691 .41491 .27559 .40917 .2696 Metetra .54 .717 .954 r .40917 .2696 .41491 .27559 .42447 .27439 .41875 .26834 Metetra .531 .711 .954 r .41875 .26834 .42447 .27439 .43409 .27333 .42839 .26721 Metetra .523 .706 .954 r .42839 .26721 .43409 .27333 .44375 .27241 .43807 .26621 Metetra .514 .7 .953 r .43807 .26621 .44375 .27241 .45346 .27164 .4478 .26535 Metetra .505 .693 .953 r .4478 .26535 .45346 .27164 .46322 .27103 .45758 .26465 Metetra .496 .686 .951 r .45758 .26465 .46322 .27103 .47304 .27059 .46742 .2641 Metetra .487 .678 .95 r .46742 .2641 .47304 .27059 .48291 .27032 .47731 .26371 Metetra .477 .669 .948 r .47731 .26371 .48291 .27032 .49284 .27023 .48727 .26349 Metetra .468 .66 .945 r .48727 .26349 .49284 .27023 .50283 .27033 .49728 .26344 Metetra .459 .651 .942 r .49728 .26344 .50283 .27033 .51289 .27064 .50735 .26357 Metetra .45 .641 .938 r .50735 .26357 .51289 .27064 .52301 .27114 .51749 .26389 Metetra .441 .63 .934 r .51749 .26389 .52301 .27114 .5332 .27185 .52769 .26439 Metetra .434 .62 .929 r .52769 .26439 .5332 .27185 .54346 .27276 .53797 .26508 Metetra .427 .609 .924 r .53797 .26508 .54346 .27276 .5538 .27389 .54832 .26595 Metetra .422 .598 .918 r .54832 .26595 .5538 .27389 .56421 .27521 .55874 .26699 Metetra .417 .587 .911 r .55874 .26699 .56421 .27521 .57471 .27674 .56924 .26821 Metetra .415 .576 .904 r .56924 .26821 .57471 .27674 .58528 .27844 .57983 .26958 Metetra .414 .566 .896 r .57983 .26958 .58528 .27844 .59594 .28031 .59049 .27108 Metetra .415 .557 .888 r .59049 .27108 .59594 .28031 .60669 .28231 .60124 .2727 Metetra .419 .549 .88 r .60124 .2727 .60669 .28231 .61753 .28441 .61207 .27439 Metetra .431 .546 .871 r .61207 .27439 .61753 .28441 .62845 .28658 .62298 .27598 Metetra .823 .717 .748 r .62298 .27598 .62845 .28658 .63947 .28883 .63342 .26277 Metetra .943 .667 .486 r .63342 .26277 .63947 .28883 .65231 .3314 .6398 .15187 Metetra .533 .314 .528 r .6398 .15187 .65231 .3314 .65527 .15467 .65016 .14628 Metetra .66 .7 .877 r .65016 .14628 .65527 .15467 .66566 .14955 .66063 .14239 Metetra .664 .741 .908 r .66063 .14239 .66566 .14955 .67615 .14568 .67115 .13849 Metetra .664 .741 .908 r .67115 .13849 .67615 .14568 .68667 .14179 .68171 .13457 Metetra .664 .741 .908 r .68171 .13457 .68667 .14179 .69724 .13789 .6923 .13064 Metetra .664 .741 .908 r .6923 .13064 .69724 .13789 .70785 .13397 .70294 .12669 Metetra .664 .741 .908 r .70294 .12669 .70785 .13397 .71851 .13004 .71362 .12273 Metetra .664 .741 .908 r .71362 .12273 .71851 .13004 .7292 .12609 .72435 .11875 Metetra .664 .741 .908 r .72435 .11875 .7292 .12609 .73994 .12212 .73511 .11476 Metetra .664 .741 .908 r .12471 .33304 .131 .3389 .13954 .33573 .13326 .32985 Metetra .664 .741 .908 r .13326 .32985 .13954 .33573 .14811 .33255 .14185 .32665 Metetra .664 .741 .908 r .14185 .32665 .14811 .33255 .15671 .32936 .15047 .32344 Metetra .664 .741 .908 r .15047 .32344 .15671 .32936 .16534 .32616 .15911 .32021 Metetra .664 .741 .908 r .15911 .32021 .16534 .32616 .174 .32294 .16779 .31698 Metetra .664 .741 .908 r .16779 .31698 .174 .32294 .18269 .31972 .1765 .31373 Metetra .664 .741 .908 r .1765 .31373 .18269 .31972 .19141 .31648 .18524 .31048 Metetra .664 .741 .908 r .18524 .31048 .19141 .31648 .20016 .31323 .19401 .30721 Metetra .664 .741 .908 r .19401 .30721 .20016 .31323 .20895 .30997 .20281 .30393 Metetra .664 .741 .908 r .20281 .30393 .20895 .30997 .21776 .30671 .21165 .30063 Metetra .663 .741 .908 r .21165 .30063 .21776 .30671 .22661 .30346 .22052 .29733 Metetra .662 .74 .908 r .22052 .29733 .22661 .30346 .23546 .30047 .22941 .29406 Metetra .649 .727 .906 r .22941 .29406 .23546 .30047 .24403 .30079 .23831 .29105 Metetra .528 .579 .85 r .23831 .29105 .24403 .30079 .25258 .30191 .24699 .29071 Metetra 0 .188 .714 r .24699 .29071 .25258 .30191 .26122 .3027 .25498 .29854 Metetra .726 .831 .93 r .25498 .29854 .26122 .3027 .27022 .29991 .26418 .29375 Metetra .584 .718 .935 r .26418 .29375 .27022 .29991 .27923 .29737 .27315 .29195 Metetra .623 .76 .944 r .27315 .29195 .27923 .29737 .28827 .29491 .28222 .28936 Metetra .613 .753 .944 r .28222 .28936 .28827 .29491 .29735 .29251 .29132 .28694 Metetra .61 .752 .946 r .29132 .28694 .29735 .29251 .30646 .29016 .30045 .28457 Metetra .606 .75 .947 r .30045 .28457 .30646 .29016 .31561 .28788 .30962 .28226 Metetra .601 .749 .948 r .30962 .28226 .31561 .28788 .32479 .28567 .31882 .28002 Metetra .597 .747 .949 r .31882 .28002 .32479 .28567 .33401 .28353 .32806 .27785 Metetra .592 .745 .95 r .32806 .27785 .33401 .28353 .34327 .28147 .33734 .27576 Metetra .587 .742 .95 r .33734 .27576 .34327 .28147 .35256 .27948 .34665 .27374 Metetra .581 .74 .951 r .34665 .27374 .35256 .27948 .36189 .27759 .356 .27181 Metetra .575 .737 .952 r .356 .27181 .36189 .27759 .37127 .27579 .3654 .26997 Metetra .569 .734 .953 r .3654 .26997 .37127 .27579 .38068 .27408 .37483 .26822 Metetra .563 .731 .953 r .37483 .26822 .38068 .27408 .39013 .27247 .38431 .26657 Metetra .556 .727 .954 r .38431 .26657 .39013 .27247 .39963 .27098 .39382 .26502 Metetra .549 .723 .954 r .39382 .26502 .39963 .27098 .40917 .2696 .40339 .26358 Metetra .542 .718 .954 r .40339 .26358 .40917 .2696 .41875 .26834 .41299 .26226 Metetra .534 .713 .954 r .41299 .26226 .41875 .26834 .42839 .26721 .42265 .26106 Metetra .526 .708 .954 r .42265 .26106 .42839 .26721 .43807 .26621 .43235 .25998 Metetra .518 .702 .954 r .43235 .25998 .43807 .26621 .4478 .26535 .4421 .25904 Metetra .51 .696 .953 r .4421 .25904 .4478 .26535 .45758 .26465 .45191 .25824 Metetra .501 .689 .952 r .45191 .25824 .45758 .26465 .46742 .2641 .46176 .25758 Metetra .493 .682 .95 r .46176 .25758 .46742 .2641 .47731 .26371 .47168 .25708 Metetra .484 .674 .948 r .47168 .25708 .47731 .26371 .48727 .26349 .48165 .25673 Metetra .475 .665 .946 r .48165 .25673 .48727 .26349 .49728 .26344 .49168 .25654 Metetra .467 .656 .943 r .49168 .25654 .49728 .26344 .50735 .26357 .50177 .25651 Metetra .459 .647 .94 r .50177 .25651 .50735 .26357 .51749 .26389 .51193 .25665 Metetra .452 .638 .936 r .51193 .25665 .51749 .26389 .52769 .26439 .52215 .25696 Metetra .445 .628 .931 r .52215 .25696 .52769 .26439 .53797 .26508 .53244 .25743 Metetra .439 .618 .926 r .53244 .25743 .53797 .26508 .54832 .26595 .5428 .25806 Metetra .434 .608 .921 r .5428 .25806 .54832 .26595 .55874 .26699 .55324 .25884 Metetra .431 .598 .915 r .55324 .25884 .55874 .26699 .56924 .26821 .56375 .25978 Metetra .428 .589 .908 r .56375 .25978 .56924 .26821 .57983 .26958 .57434 .26084 Metetra .428 .579 .901 r .57434 .26084 .57983 .26958 .59049 .27108 .58501 .26202 Metetra .429 .571 .894 r .58501 .26202 .59049 .27108 .60124 .2727 .59576 .26329 Metetra .447 .572 .887 r .59576 .26329 .60124 .2727 .61207 .27439 .60659 .26432 Metetra .948 .735 .582 r .60659 .26432 .61207 .27439 .62298 .27598 .61617 .22432 Metetra .839 .573 .538 r .61617 .22432 .62298 .27598 .63342 .26277 .62424 .14824 Metetra .539 .327 .541 r .62424 .14824 .63342 .26277 .6398 .15187 .63461 .14299 Metetra .657 .686 .866 r .63461 .14299 .6398 .15187 .65016 .14628 .64507 .13909 Metetra .664 .741 .908 r .64507 .13909 .65016 .14628 .66063 .14239 .65557 .13518 Metetra .664 .741 .908 r .65557 .13518 .66063 .14239 .67115 .13849 .66611 .13125 Metetra .664 .741 .908 r .66611 .13125 .67115 .13849 .68171 .13457 .6767 .1273 Metetra .664 .741 .908 r .6767 .1273 .68171 .13457 .6923 .13064 .68733 .12334 Metetra .664 .741 .908 r .68733 .12334 .6923 .13064 .70294 .12669 .69799 .11936 Metetra .664 .741 .908 r .69799 .11936 .70294 .12669 .71362 .12273 .70871 .11537 Metetra .664 .741 .908 r .70871 .11537 .71362 .12273 .72435 .11875 .71946 .11136 Metetra .664 .741 .908 r .71946 .11136 .72435 .11875 .73511 .11476 .73026 .10734 Metetra .664 .741 .908 r .11837 .32714 .12471 .33304 .13326 .32985 .12695 .32393 Metetra .664 .741 .908 r .12695 .32393 .13326 .32985 .14185 .32665 .13555 .32071 Metetra .664 .741 .908 r .13555 .32071 .14185 .32665 .15047 .32344 .14418 .31748 Metetra .664 .741 .908 r .14418 .31748 .15047 .32344 .15911 .32021 .15285 .31423 Metetra .664 .741 .908 r .15285 .31423 .15911 .32021 .16779 .31698 .16154 .31098 Metetra .664 .741 .908 r .16154 .31098 .16779 .31698 .1765 .31373 .17027 .30771 Metetra .664 .741 .908 r .17027 .30771 .1765 .31373 .18524 .31048 .17903 .30443 Metetra .664 .741 .908 r .17903 .30443 .18524 .31048 .19401 .30721 .18782 .30114 Metetra .664 .741 .908 r .18782 .30114 .19401 .30721 .20281 .30393 .19664 .29784 Metetra .664 .741 .908 r .19664 .29784 .20281 .30393 .21165 .30063 .20549 .29452 Metetra .664 .741 .908 r .20549 .29452 .21165 .30063 .22052 .29733 .21438 .2912 Metetra .663 .741 .908 r .21438 .2912 .22052 .29733 .22941 .29406 .2233 .28786 Metetra .662 .739 .907 r .2233 .28786 .22941 .29406 .23831 .29105 .23224 .28455 Metetra .65 .726 .905 r .23224 .28455 .23831 .29105 .24699 .29071 .2412 .28148 Metetra .58 .619 .855 r .2412 .28148 .24699 .29071 .25498 .29854 .25004 .27994 Metetra 0 0 .366 r .25004 .27994 .25498 .29854 .26418 .29375 .25703 .29947 Metetra .851 .979 .682 r .25703 .29947 .26418 .29375 .27315 .29195 .26709 .28565 Metetra .584 .715 .933 r .26709 .28565 .27315 .29195 .28222 .28936 .27612 .28382 Metetra .615 .755 .945 r .27612 .28382 .28222 .28936 .29132 .28694 .28524 .28135 Metetra .61 .753 .946 r .28524 .28135 .29132 .28694 .30045 .28457 .29439 .27895 Metetra .606 .751 .947 r .29439 .27895 .30045 .28457 .30962 .28226 .30358 .27662 Metetra .602 .75 .948 r .30358 .27662 .30962 .28226 .31882 .28002 .3128 .27435 Metetra .597 .748 .949 r .3128 .27435 .31882 .28002 .32806 .27785 .32206 .27215 Metetra .592 .746 .95 r .32206 .27215 .32806 .27785 .33734 .27576 .33136 .27003 Metetra .587 .743 .951 r .33136 .27003 .33734 .27576 .34665 .27374 .3407 .26798 Metetra .582 .741 .952 r .3407 .26798 .34665 .27374 .356 .27181 .35007 .26601 Metetra .576 .738 .952 r .35007 .26601 .356 .27181 .3654 .26997 .35948 .26412 Metetra .571 .735 .953 r .35948 .26412 .3654 .26997 .37483 .26822 .36894 .26233 Metetra .565 .732 .954 r .36894 .26233 .37483 .26822 .38431 .26657 .37844 .26063 Metetra .558 .728 .954 r .37844 .26063 .38431 .26657 .39382 .26502 .38797 .25903 Metetra .551 .724 .954 r .38797 .25903 .39382 .26502 .40339 .26358 .39756 .25754 Metetra .544 .72 .954 r .39756 .25754 .40339 .26358 .41299 .26226 .40719 .25615 Metetra .537 .715 .954 r .40719 .25615 .41299 .26226 .42265 .26106 .41686 .25488 Metetra .53 .71 .954 r .41686 .25488 .42265 .26106 .43235 .25998 .42659 .25373 Metetra .522 .705 .954 r .42659 .25373 .43235 .25998 .4421 .25904 .43636 .2527 Metetra .514 .699 .953 r .43636 .2527 .4421 .25904 .45191 .25824 .44619 .25181 Metetra .506 .692 .952 r .44619 .25181 .45191 .25824 .46176 .25758 .45607 .25105 Metetra .498 .685 .95 r .45607 .25105 .46176 .25758 .47168 .25708 .466 .25043 Metetra .49 .678 .949 r .466 .25043 .47168 .25708 .48165 .25673 .47599 .24995 Metetra .483 .67 .946 r .47599 .24995 .48165 .25673 .49168 .25654 .48604 .24962 Metetra .475 .662 .944 r .48604 .24962 .49168 .25654 .50177 .25651 .49615 .24944 Metetra .468 .653 .941 r .49615 .24944 .50177 .25651 .51193 .25665 .50633 .24941 Metetra .461 .645 .937 r .50633 .24941 .51193 .25665 .52215 .25696 .51657 .24953 Metetra .455 .636 .933 r .51657 .24953 .52215 .25696 .53244 .25743 .52687 .2498 Metetra .45 .627 .928 r .52687 .2498 .53244 .25743 .5428 .25806 .53725 .25021 Metetra .446 .617 .923 r .53725 .25021 .5428 .25806 .55324 .25884 .5477 .25076 Metetra .442 .608 .918 r .5477 .25076 .55324 .25884 .56375 .25978 .55823 .25143 Metetra .441 .6 .912 r .55823 .25143 .56375 .25978 .57434 .26084 .56882 .25222 Metetra .438 .59 .906 r .56882 .25222 .57434 .26084 .58501 .26202 .5795 .25313 Metetra .282 .491 .884 r .5795 .25313 .58501 .26202 .59576 .26329 .59032 .25665 Metetra .861 .444 0 r .59032 .25665 .59576 .26329 .60659 .26432 .60195 .28711 Metetra .981 .742 .334 r .60195 .28711 .60659 .26432 .61617 .22432 .60862 .14431 Metetra .544 .341 .556 r .60862 .14431 .61617 .22432 .62424 .14824 .61901 .13969 Metetra .659 .697 .874 r .61901 .13969 .62424 .14824 .63461 .14299 .62945 .13578 Metetra .664 .741 .908 r .62945 .13578 .63461 .14299 .64507 .13909 .63994 .13185 Metetra .664 .741 .908 r .63994 .13185 .64507 .13909 .65557 .13518 .65047 .12791 Metetra .664 .741 .908 r .65047 .12791 .65557 .13518 .66611 .13125 .66104 .12395 Metetra .664 .741 .908 r .66104 .12395 .66611 .13125 .6767 .1273 .67166 .11998 Metetra .664 .741 .908 r .67166 .11998 .6767 .1273 .68733 .12334 .68231 .11599 Metetra .664 .741 .908 r .68231 .11599 .68733 .12334 .69799 .11936 .69301 .11198 Metetra .664 .741 .908 r .69301 .11198 .69799 .11936 .70871 .11537 .70375 .10796 Metetra .664 .741 .908 r .70375 .10796 .70871 .11537 .71946 .11136 .71453 .10392 Metetra .664 .741 .908 r .71453 .10392 .71946 .11136 .73026 .10734 .72536 .09987 Metetra .664 .741 .908 r .112 .32121 .11837 .32714 .12695 .32393 .12059 .31798 Metetra .664 .741 .908 r .12059 .31798 .12695 .32393 .13555 .32071 .12921 .31473 Metetra .664 .741 .908 r .12921 .31473 .13555 .32071 .14418 .31748 .13786 .31148 Metetra .664 .741 .908 r .13786 .31148 .14418 .31748 .15285 .31423 .14654 .30821 Metetra .664 .741 .908 r .14654 .30821 .15285 .31423 .16154 .31098 .15526 .30494 Metetra .664 .741 .908 r .15526 .30494 .16154 .31098 .17027 .30771 .164 .30165 Metetra .664 .741 .908 r .164 .30165 .17027 .30771 .17903 .30443 .17278 .29835 Metetra .664 .741 .908 r .17278 .29835 .17903 .30443 .18782 .30114 .18158 .29503 Metetra .664 .741 .908 r .18158 .29503 .18782 .30114 .19664 .29784 .19042 .29171 Metetra .664 .741 .908 r .19042 .29171 .19664 .29784 .20549 .29452 .19929 .28837 Metetra .664 .741 .908 r .19929 .28837 .20549 .29452 .21438 .2912 .2082 .28502 Metetra .664 .741 .908 r .2082 .28502 .21438 .2912 .2233 .28786 .21714 .28166 Metetra .663 .741 .908 r .21714 .28166 .2233 .28786 .23224 .28455 .2261 .27829 Metetra .662 .74 .907 r .2261 .27829 .23224 .28455 .2412 .28148 .2351 .27493 Metetra .654 .728 .903 r .2351 .27493 .2412 .28148 .25004 .27994 .24412 .27174 Metetra .598 .656 .878 r .24412 .27174 .25004 .27994 .25703 .29947 .25305 .26975 Metetra .485 .358 .632 r .25305 .26975 .25703 .29947 .26709 .28565 .26165 .27205 Metetra 0 .119 .658 r .26165 .27205 .26709 .28565 .27612 .28382 .26966 .28183 Metetra .79 .921 .925 r .26966 .28183 .27612 .28382 .28524 .28135 .27916 .27521 Metetra .579 .722 .941 r .27916 .27521 .28524 .28135 .29439 .27895 .28828 .2734 Metetra .611 .757 .948 r .28828 .2734 .29439 .27895 .30358 .27662 .2975 .27094 Metetra .601 .749 .948 r .2975 .27094 .30358 .27662 .3128 .27435 .30674 .26866 Metetra .598 .749 .949 r .30674 .26866 .3128 .27435 .32206 .27215 .31602 .26643 Metetra .593 .746 .95 r .31602 .26643 .32206 .27215 .33136 .27003 .32534 .26427 Metetra .588 .744 .951 r .32534 .26427 .33136 .27003 .3407 .26798 .3347 .26218 Metetra .583 .742 .952 r .3347 .26218 .3407 .26798 .35007 .26601 .34409 .26018 Metetra .577 .739 .953 r .34409 .26018 .35007 .26601 .35948 .26412 .35353 .25825 Metetra .572 .736 .953 r .35353 .25825 .35948 .26412 .36894 .26233 .363 .25642 Metetra .566 .733 .954 r .363 .25642 .36894 .26233 .37844 .26063 .37252 .25467 Metetra .56 .73 .954 r .37252 .25467 .37844 .26063 .38797 .25903 .38208 .25302 Metetra .553 .726 .954 r .38208 .25302 .38797 .25903 .39756 .25754 .39169 .25146 Metetra .547 .722 .955 r .39169 .25146 .39756 .25754 .40719 .25615 .40134 .25001 Metetra .54 .717 .954 r .40134 .25001 .40719 .25615 .41686 .25488 .41104 .24867 Metetra .533 .712 .954 r .41104 .24867 .41686 .25488 .42659 .25373 .42078 .24745 Metetra .526 .707 .954 r .42078 .24745 .42659 .25373 .43636 .2527 .43058 .24634 Metetra .519 .701 .953 r .43058 .24634 .43636 .2527 .44619 .25181 .44043 .24535 Metetra .511 .695 .952 r .44043 .24535 .44619 .25181 .45607 .25105 .45033 .24449 Metetra .504 .689 .951 r .45033 .24449 .45607 .25105 .466 .25043 .46028 .24376 Metetra .496 .682 .949 r .46028 .24376 .466 .25043 .47599 .24995 .47029 .24316 Metetra .489 .675 .947 r .47029 .24316 .47599 .24995 .48604 .24962 .48036 .2427 Metetra .482 .667 .944 r .48036 .2427 .48604 .24962 .49615 .24944 .49049 .24237 Metetra .476 .659 .941 r .49049 .24237 .49615 .24944 .50633 .24941 .50069 .24218 Metetra .47 .651 .938 r .50069 .24218 .50633 .24941 .51657 .24953 .51095 .24213 Metetra .464 .643 .935 r .51095 .24213 .51657 .24953 .52687 .2498 .52127 .2422 Metetra .46 .634 .93 r .52127 .2422 .52687 .2498 .53725 .25021 .53166 .24241 Metetra .456 .626 .926 r .53166 .24241 .53725 .25021 .5477 .25076 .54213 .24273 Metetra .453 .618 .921 r .54213 .24273 .5477 .25076 .55823 .25143 .55266 .24316 Metetra .467 .618 .915 r .55266 .24316 .55823 .25143 .56882 .25222 .56327 .24343 Metetra .838 .753 .77 r .56327 .24343 .56882 .25222 .5795 .25313 .57373 .23083 Metetra .926 .668 .526 r .57373 .23083 .5795 .25313 .59032 .25665 .58286 .15615 Metetra .58 .36 .546 r .58286 .15615 .59032 .25665 .60195 .28711 .59296 .14054 Metetra .528 .312 .53 r .59296 .14054 .60195 .28711 .60862 .14431 .60335 .13638 Metetra .661 .717 .89 r .60335 .13638 .60862 .14431 .61901 .13969 .61379 .13246 Metetra .664 .741 .908 r .61379 .13246 .61901 .13969 .62945 .13578 .62426 .12852 Metetra .664 .741 .908 r .62426 .12852 .62945 .13578 .63994 .13185 .63478 .12456 Metetra .664 .741 .908 r .63478 .12456 .63994 .13185 .65047 .12791 .64534 .12059 Metetra .664 .741 .908 r .64534 .12059 .65047 .12791 .66104 .12395 .65594 .1166 Metetra .664 .741 .908 r .65594 .1166 .66104 .12395 .67166 .11998 .66658 .1126 Metetra .664 .741 .908 r .66658 .1126 .67166 .11998 .68231 .11599 .67726 .10858 Metetra .664 .741 .908 r .67726 .10858 .68231 .11599 .69301 .11198 .68799 .10454 Metetra .664 .741 .908 r .68799 .10454 .69301 .11198 .70375 .10796 .69876 .10049 Metetra .664 .741 .908 r .69876 .10049 .70375 .10796 .71453 .10392 .70957 .09643 Metetra .664 .741 .908 r .70957 .09643 .71453 .10392 .72536 .09987 .72043 .09234 Metetra .664 .741 .908 r .10559 .31523 .112 .32121 .12059 .31798 .11419 .31198 Metetra .664 .741 .908 r .11419 .31198 .12059 .31798 .12921 .31473 .12283 .30872 Metetra .664 .741 .908 r .12283 .30872 .12921 .31473 .13786 .31148 .1315 .30544 Metetra .664 .741 .908 r .1315 .30544 .13786 .31148 .14654 .30821 .1402 .30215 Metetra .664 .741 .908 r .1402 .30215 .14654 .30821 .15526 .30494 .14893 .29885 Metetra .664 .741 .908 r .14893 .29885 .15526 .30494 .164 .30165 .15769 .29554 Metetra .664 .741 .908 r .15769 .29554 .164 .30165 .17278 .29835 .16648 .29222 Metetra .664 .741 .908 r .16648 .29222 .17278 .29835 .18158 .29503 .17531 .28888 Metetra .664 .741 .908 r .17531 .28888 .18158 .29503 .19042 .29171 .18417 .28554 Metetra .664 .741 .908 r .18417 .28554 .19042 .29171 .19929 .28837 .19306 .28218 Metetra .664 .741 .908 r .19306 .28218 .19929 .28837 .2082 .28502 .20198 .27881 Metetra .664 .741 .908 r .20198 .27881 .2082 .28502 .21714 .28166 .21093 .27542 Metetra .664 .741 .908 r .21093 .27542 .21714 .28166 .2261 .27829 .21992 .27203 Metetra .663 .741 .908 r .21992 .27203 .2261 .27829 .2351 .27493 .22894 .26862 Metetra .663 .74 .907 r .22894 .26862 .2351 .27493 .24412 .27174 .23799 .26522 Metetra .659 .733 .904 r .23799 .26522 .24412 .27174 .25305 .26975 .24707 .26189 Metetra .63 .681 .879 r .24707 .26189 .25305 .26975 .26165 .27205 .25613 .25915 Metetra .525 .518 .79 r .25613 .25915 .26165 .27205 .26966 .28183 .26499 .25898 Metetra .039 .083 .58 r .26499 .25898 .26966 .28183 .27916 .27521 .2727 .27293 Metetra .773 .913 .934 r .2727 .27293 .27916 .27521 .28828 .2734 .28221 .26675 Metetra .552 .695 .935 r .28221 .26675 .28828 .2734 .2975 .27094 .29135 .26543 Metetra .613 .762 .95 r .29135 .26543 .2975 .27094 .30674 .26866 .30063 .26289 Metetra .595 .746 .949 r .30063 .26289 .30674 .26866 .31602 .26643 .30993 .26069 Metetra .594 .748 .951 r .30993 .26069 .31602 .26643 .32534 .26427 .31927 .25848 Metetra .588 .745 .951 r .31927 .25848 .32534 .26427 .3347 .26218 .32865 .25636 Metetra .584 .743 .952 r .32865 .25636 .3347 .26218 .34409 .26018 .33807 .25432 Metetra .579 .74 .953 r .33807 .25432 .34409 .26018 .35353 .25825 .34752 .25235 Metetra .573 .737 .953 r .34752 .25235 .35353 .25825 .363 .25642 .35702 .25047 Metetra .567 .734 .954 r .35702 .25047 .363 .25642 .37252 .25467 .36656 .24867 Metetra .562 .731 .954 r .36656 .24867 .37252 .25467 .38208 .25302 .37615 .24697 Metetra .556 .727 .954 r .37615 .24697 .38208 .25302 .39169 .25146 .38577 .24536 Metetra .549 .723 .955 r .38577 .24536 .39169 .25146 .40134 .25001 .39545 .24385 Metetra .543 .719 .954 r .39545 .24385 .40134 .25001 .41104 .24867 .40517 .24244 Metetra .536 .714 .954 r .40517 .24244 .41104 .24867 .42078 .24745 .41494 .24114 Metetra .529 .709 .954 r .41494 .24114 .42078 .24745 .43058 .24634 .42475 .23995 Metetra .523 .704 .953 r .42475 .23995 .43058 .24634 .44043 .24535 .43462 .23887 Metetra .516 .698 .952 r .43462 .23887 .44043 .24535 .45033 .24449 .44454 .23791 Metetra .509 .692 .951 r .44454 .23791 .45033 .24449 .46028 .24376 .45452 .23707 Metetra .502 .686 .949 r .45452 .23707 .46028 .24376 .47029 .24316 .46455 .23636 Metetra .496 .679 .947 r .46455 .23636 .47029 .24316 .48036 .2427 .47464 .23577 Metetra .489 .672 .945 r .47464 .23577 .48036 .2427 .49049 .24237 .4848 .2353 Metetra .483 .665 .942 r .4848 .2353 .49049 .24237 .50069 .24218 .49501 .23496 Metetra .478 .657 .939 r .49501 .23496 .50069 .24218 .51095 .24213 .50528 .23473 Metetra .473 .65 .936 r .50528 .23473 .51095 .24213 .52127 .2422 .51563 .23463 Metetra .47 .642 .932 r .51563 .23463 .52127 .2422 .53166 .24241 .52604 .23462 Metetra .476 .639 .927 r .52604 .23462 .53166 .24241 .54213 .24273 .53652 .23456 Metetra .478 .628 .918 r .53652 .23456 .54213 .24273 .55266 .24316 .54707 .23458 Metetra .571 .662 .899 r .54707 .23458 .55266 .24316 .56327 .24343 .55766 .23283 Metetra .969 .711 .49 r .55766 .23283 .56327 .24343 .57373 .23083 .56696 .14324 Metetra .547 .339 .549 r .56696 .14324 .57373 .23083 .58286 .15615 .57727 .13704 Metetra .608 .505 .711 r .57727 .13704 .58286 .15615 .59296 .14054 .58764 .13306 Metetra .663 .733 .902 r .58764 .13306 .59296 .14054 .60335 .13638 .59807 .12912 Metetra .664 .741 .908 r .59807 .12912 .60335 .13638 .61379 .13246 .60853 .12517 Metetra .664 .741 .908 r .60853 .12517 .61379 .13246 .62426 .12852 .61903 .1212 Metetra .664 .741 .908 r .61903 .1212 .62426 .12852 .63478 .12456 .62957 .11722 Metetra .664 .741 .908 r .62957 .11722 .63478 .12456 .64534 .12059 .64016 .11321 Metetra .664 .741 .908 r .64016 .11321 .64534 .12059 .65594 .1166 .65079 .1092 Metetra .664 .741 .908 r .65079 .1092 .65594 .1166 .66658 .1126 .66146 .10517 Metetra .664 .741 .908 r .66146 .10517 .66658 .1126 .67726 .10858 .67217 .10112 Metetra .664 .741 .908 r .67217 .10112 .67726 .10858 .68799 .10454 .68293 .09705 Metetra .664 .741 .908 r .68293 .09705 .68799 .10454 .69876 .10049 .69373 .09297 Metetra .664 .741 .908 r .69373 .09297 .69876 .10049 .70957 .09643 .70457 .08887 Metetra .664 .741 .908 r .70457 .08887 .70957 .09643 .72043 .09234 .71546 .08476 Metetra .664 .741 .908 r .09913 .30922 .10559 .31523 .11419 .31198 .10775 .30595 Metetra .664 .741 .908 r .10775 .30595 .11419 .31198 .12283 .30872 .1164 .30266 Metetra .664 .741 .908 r .1164 .30266 .12283 .30872 .1315 .30544 .12509 .29936 Metetra .664 .741 .908 r .12509 .29936 .1315 .30544 .1402 .30215 .13381 .29605 Metetra .664 .741 .908 r .13381 .29605 .1402 .30215 .14893 .29885 .14255 .29273 Metetra .664 .741 .908 r .14255 .29273 .14893 .29885 .15769 .29554 .15133 .2894 Metetra .664 .741 .908 r .15133 .2894 .15769 .29554 .16648 .29222 .16015 .28605 Metetra .664 .741 .908 r .16015 .28605 .16648 .29222 .17531 .28888 .16899 .2827 Metetra .664 .741 .908 r .16899 .2827 .17531 .28888 .18417 .28554 .17787 .27933 Metetra .664 .741 .908 r .17787 .27933 .18417 .28554 .19306 .28218 .18677 .27594 Metetra .664 .741 .908 r .18677 .27594 .19306 .28218 .20198 .27881 .19572 .27255 Metetra .664 .741 .908 r .19572 .27255 .20198 .27881 .21093 .27542 .20469 .26914 Metetra .664 .741 .908 r .20469 .26914 .21093 .27542 .21992 .27203 .2137 .26572 Metetra .664 .741 .908 r .2137 .26572 .21992 .27203 .22894 .26862 .22274 .26229 Metetra .664 .741 .908 r .22274 .26229 .22894 .26862 .23799 .26522 .23181 .25885 Metetra .663 .74 .908 r .23181 .25885 .23799 .26522 .24707 .26189 .24091 .2554 Metetra .661 .737 .906 r .24091 .2554 .24707 .26189 .25613 .25915 .25005 .25197 Metetra .651 .711 .892 r .25005 .25197 .25613 .25915 .26499 .25898 .2592 .24874 Metetra .594 .607 .834 r .2592 .24874 .26499 .25898 .2727 .27293 .26828 .24673 Metetra .502 .385 .653 r .26828 .24673 .2727 .27293 .28221 .26675 .27714 .24782 Metetra 0 0 .245 r .27714 .24782 .28221 .26675 .29135 .26543 .2842 .27164 Metetra .881 .971 .655 r .2842 .27164 .29135 .26543 .30063 .26289 .29461 .25552 Metetra .493 .646 .925 r .29461 .25552 .30063 .26289 .30993 .26069 .30378 .2552 Metetra .611 .765 .953 r .30378 .2552 .30993 .26069 .31927 .25848 .31316 .25265 Metetra .589 .745 .951 r .31316 .25265 .31927 .25848 .32865 .25636 .32256 .2505 Metetra .583 .743 .952 r .32256 .2505 .32865 .25636 .33807 .25432 .332 .24844 Metetra .58 .742 .953 r .332 .24844 .33807 .25432 .34752 .25235 .34148 .24642 Metetra .574 .738 .953 r .34148 .24642 .34752 .25235 .35702 .25047 .351 .2445 Metetra .569 .735 .954 r .351 .2445 .35702 .25047 .36656 .24867 .36056 .24265 Metetra .563 .732 .954 r .36056 .24265 .36656 .24867 .37615 .24697 .37016 .24089 Metetra .558 .728 .954 r .37016 .24089 .37615 .24697 .38577 .24536 .37981 .23922 Metetra .552 .725 .955 r .37981 .23922 .38577 .24536 .39545 .24385 .38951 .23765 Metetra .546 .721 .954 r .38951 .23765 .39545 .24385 .40517 .24244 .39925 .23617 Metetra .539 .716 .954 r .39925 .23617 .40517 .24244 .41494 .24114 .40904 .2348 Metetra .533 .711 .954 r .40904 .2348 .41494 .24114 .42475 .23995 .41888 .23353 Metetra .527 .706 .953 r .41888 .23353 .42475 .23995 .43462 .23887 .42877 .23236 Metetra .52 .701 .952 r .42877 .23236 .43462 .23887 .44454 .23791 .43872 .23131 Metetra .514 .695 .951 r .43872 .23131 .44454 .23791 .45452 .23707 .44872 .23037 Metetra .508 .689 .949 r .44872 .23037 .45452 .23707 .46455 .23636 .45877 .22954 Metetra .502 .683 .948 r .45877 .22954 .46455 .23636 .47464 .23577 .46888 .22882 Metetra .496 .676 .946 r .46888 .22882 .47464 .23577 .4848 .2353 .47905 .22822 Metetra .491 .67 .943 r .47905 .22822 .4848 .2353 .49501 .23496 .48929 .22772 Metetra .487 .663 .94 r .48929 .22772 .49501 .23496 .50528 .23473 .49958 .22731 Metetra .471 .649 .937 r .49958 .22731 .50528 .23473 .51563 .23463 .50994 .22721 Metetra .078 .414 .863 r .50994 .22721 .51563 .23463 .52604 .23462 .52037 .23208 Metetra .964 .639 .34 r .52037 .23208 .52604 .23462 .53652 .23456 .53123 .36915 Metetra 0 0 .022 r .53123 .36915 .53652 .23456 .54707 .23458 .54095 .14755 Metetra .562 .35 .55 r .54095 .14755 .54707 .23458 .55766 .23283 .5512 .13788 Metetra .534 .326 .544 r .5512 .13788 .55766 .23283 .56696 .14324 .56152 .13367 Metetra .654 .669 .852 r .56152 .13367 .56696 .14324 .57727 .13704 .57189 .12973 Metetra .663 .739 .906 r .57189 .12973 .57727 .13704 .58764 .13306 .58229 .12578 Metetra .664 .741 .908 r .58229 .12578 .58764 .13306 .59807 .12912 .59274 .12181 Metetra .664 .741 .908 r .59274 .12181 .59807 .12912 .60853 .12517 .60323 .11783 Metetra .664 .741 .908 r .60323 .11783 .60853 .12517 .61903 .1212 .61376 .11383 Metetra .664 .741 .908 r .61376 .11383 .61903 .1212 .62957 .11722 .62433 .10982 Metetra .664 .741 .908 r .62433 .10982 .62957 .11722 .64016 .11321 .63495 .10579 Metetra .664 .741 .908 r .63495 .10579 .64016 .11321 .65079 .1092 .64561 .10174 Metetra .664 .741 .908 r .64561 .10174 .65079 .1092 .66146 .10517 .65631 .09768 Metetra .664 .741 .908 r .65631 .09768 .66146 .10517 .67217 .10112 .66705 .0936 Metetra .664 .741 .908 r .66705 .0936 .67217 .10112 .68293 .09705 .67784 .0895 Metetra .664 .741 .908 r .67784 .0895 .68293 .09705 .69373 .09297 .68866 .08539 Metetra .664 .741 .908 r .68866 .08539 .69373 .09297 .70457 .08887 .69954 .08126 Metetra .664 .741 .908 r .69954 .08126 .70457 .08887 .71546 .08476 .71046 .07712 Metetra .664 .741 .908 r .09263 .30317 .09913 .30922 .10775 .30595 .10127 .29987 Metetra .664 .741 .908 r .10127 .29987 .10775 .30595 .1164 .30266 .10994 .29656 Metetra .664 .741 .908 r .10994 .29656 .1164 .30266 .12509 .29936 .11864 .29324 Metetra .664 .741 .908 r .11864 .29324 .12509 .29936 .13381 .29605 .12737 .28991 Metetra .664 .741 .908 r .12737 .28991 .13381 .29605 .14255 .29273 .13614 .28657 Metetra .664 .741 .908 r .13614 .28657 .14255 .29273 .15133 .2894 .14494 .28321 Metetra .664 .741 .908 r .14494 .28321 .15133 .2894 .16015 .28605 .15377 .27984 Metetra .664 .741 .908 r .15377 .27984 .16015 .28605 .16899 .2827 .16263 .27646 Metetra .664 .741 .908 r .16263 .27646 .16899 .2827 .17787 .27933 .17152 .27307 Metetra .664 .741 .908 r .17152 .27307 .17787 .27933 .18677 .27594 .18045 .26967 Metetra .664 .741 .908 r .18045 .26967 .18677 .27594 .19572 .27255 .18941 .26625 Metetra .664 .741 .908 r .18941 .26625 .19572 .27255 .20469 .26914 .1984 .26282 Metetra .664 .741 .908 r .1984 .26282 .20469 .26914 .2137 .26572 .20743 .25938 Metetra .664 .741 .908 r .20743 .25938 .2137 .26572 .22274 .26229 .21649 .25592 Metetra .664 .741 .908 r .21649 .25592 .22274 .26229 .23181 .25885 .22558 .25245 Metetra .664 .741 .908 r .22558 .25245 .23181 .25885 .24091 .2554 .23471 .24897 Metetra .663 .741 .908 r .23471 .24897 .24091 .2554 .25005 .25197 .24387 .24548 Metetra .663 .739 .907 r .24387 .24548 .25005 .25197 .2592 .24874 .25306 .24199 Metetra .66 .731 .902 r .25306 .24199 .2592 .24874 .26828 .24673 .26228 .23854 Metetra .644 .682 .871 r .26228 .23854 .26828 .24673 .27714 .24782 .27151 .23535 Metetra .591 .564 .792 r .27151 .23535 .27714 .24782 .2842 .27164 .28069 .23324 Metetra .455 .312 .597 r .28069 .23324 .2842 .27164 .29461 .25552 .28938 .23775 Metetra .453 .414 .724 r .28938 .23775 .29461 .25552 .30378 .2552 .29833 .23994 Metetra 0 .038 .598 r .29833 .23994 .30378 .2552 .31316 .25265 .3066 .25219 Metetra .845 .967 .88 r .3066 .25219 .31316 .25265 .32256 .2505 .31652 .24323 Metetra .491 .653 .931 r .31652 .24323 .32256 .2505 .332 .24844 .32586 .24287 Metetra .599 .763 .957 r .32586 .24287 .332 .24844 .34148 .24642 .33538 .24045 Metetra .578 .74 .953 r .33538 .24045 .34148 .24642 .351 .2445 .34493 .23844 Metetra .566 .733 .953 r .34493 .23844 .351 .2445 .36056 .24265 .35451 .23662 Metetra .567 .735 .955 r .35451 .23662 .36056 .24265 .37016 .24089 .36414 .23478 Metetra .56 .73 .954 r .36414 .23478 .37016 .24089 .37981 .23922 .37381 .23305 Metetra .553 .726 .954 r .37381 .23305 .37981 .23922 .38951 .23765 .38353 .23142 Metetra .548 .722 .955 r .38353 .23142 .38951 .23765 .39925 .23617 .39329 .22988 Metetra .543 .718 .954 r .39329 .22988 .39925 .23617 .40904 .2348 .40311 .22843 Metetra .536 .714 .954 r .40311 .22843 .40904 .2348 .41888 .23353 .41297 .22707 Metetra .53 .708 .953 r .41297 .22707 .41888 .23353 .42877 .23236 .42288 .22583 Metetra .524 .703 .952 r .42288 .22583 .42877 .23236 .43872 .23131 .43285 .22469 Metetra .518 .698 .951 r .43285 .22469 .43872 .23131 .44872 .23037 .44287 .22365 Metetra .514 .694 .95 r .44287 .22365 .44872 .23037 .45877 .22954 .45295 .22268 Metetra .515 .69 .947 r .45295 .22268 .45877 .22954 .46888 .22882 .46308 .22173 Metetra .516 .683 .942 r .46308 .22173 .46888 .22882 .47905 .22822 .47328 .2208 Metetra .434 .631 .937 r .47328 .2208 .47905 .22822 .48929 .22772 .48352 .22123 Metetra .733 .267 0 r .48352 .22123 .48929 .22772 .49958 .22731 .49365 .23803 Metetra .803 .857 .406 r .49365 .23803 .49958 .22731 .50994 .22721 .50427 .21293 Metetra .944 .699 .537 r .50427 .21293 .50994 .22721 .52037 .23208 .51489 .14729 Metetra .558 .346 .55 r .51489 .14729 .52037 .23208 .53123 .36915 .52514 .13865 Metetra .518 .294 .514 r .52514 .13865 .53123 .36915 .54095 .14755 .53541 .1343 Metetra .634 .586 .783 r .53541 .1343 .54095 .14755 .5512 .13788 .54572 .13034 Metetra .663 .731 .901 r .54572 .13034 .5512 .13788 .56152 .13367 .55607 .12639 Metetra .664 .741 .908 r .55607 .12639 .56152 .13367 .57189 .12973 .56647 .12242 Metetra .664 .741 .908 r .56647 .12242 .57189 .12973 .58229 .12578 .5769 .11844 Metetra .664 .741 .908 r .5769 .11844 .58229 .12578 .59274 .12181 .58738 .11445 Metetra .664 .741 .908 r .58738 .11445 .59274 .12181 .60323 .11783 .59789 .11043 Metetra .664 .741 .908 r .59789 .11043 .60323 .11783 .61376 .11383 .60845 .10641 Metetra .664 .741 .908 r .60845 .10641 .61376 .11383 .62433 .10982 .61905 .10236 Metetra .664 .741 .908 r .61905 .10236 .62433 .10982 .63495 .10579 .6297 .0983 Metetra .664 .741 .908 r .6297 .0983 .63495 .10579 .64561 .10174 .64038 .09423 Metetra .664 .741 .908 r .64038 .09423 .64561 .10174 .65631 .09768 .65111 .09014 Metetra .664 .741 .908 r .65111 .09014 .65631 .09768 .66705 .0936 .66189 .08603 Metetra .664 .741 .908 r .66189 .08603 .66705 .0936 .67784 .0895 .6727 .0819 Metetra .664 .741 .908 r .6727 .0819 .67784 .0895 .68866 .08539 .68356 .07776 Metetra .664 .741 .908 r .68356 .07776 .68866 .08539 .69954 .08126 .69446 .0736 Metetra .664 .741 .908 r .69446 .0736 .69954 .08126 .71046 .07712 .70541 .06942 Metetra .664 .741 .908 r .08608 .29707 .09263 .30317 .10127 .29987 .09474 .29376 Metetra .664 .741 .908 r .09474 .29376 .10127 .29987 .10994 .29656 .10343 .29043 Metetra .664 .741 .908 r .10343 .29043 .10994 .29656 .11864 .29324 .11215 .28708 Metetra .664 .741 .908 r .11215 .28708 .11864 .29324 .12737 .28991 .1209 .28373 Metetra .664 .741 .908 r .1209 .28373 .12737 .28991 .13614 .28657 .12968 .28036 Metetra .664 .741 .908 r .12968 .28036 .13614 .28657 .14494 .28321 .1385 .27699 Metetra .664 .741 .908 r .1385 .27699 .14494 .28321 .15377 .27984 .14734 .27359 Metetra .664 .741 .908 r .14734 .27359 .15377 .27984 .16263 .27646 .15622 .27019 Metetra .664 .741 .908 r .15622 .27019 .16263 .27646 .17152 .27307 .16514 .26678 Metetra .664 .741 .908 r .16514 .26678 .17152 .27307 .18045 .26967 .17408 .26335 Metetra .664 .741 .908 r .17408 .26335 .18045 .26967 .18941 .26625 .18306 .25991 Metetra .664 .741 .908 r .18306 .25991 .18941 .26625 .1984 .26282 .19207 .25645 Metetra .664 .741 .908 r .19207 .25645 .1984 .26282 .20743 .25938 .20112 .25299 Metetra .664 .741 .908 r .20112 .25299 .20743 .25938 .21649 .25592 .2102 .24951 Metetra .664 .741 .908 r .2102 .24951 .21649 .25592 .22558 .25245 .21931 .24601 Metetra .664 .741 .908 r .21931 .24601 .22558 .25245 .23471 .24897 .22845 .24251 Metetra .664 .741 .908 r .22845 .24251 .23471 .24897 .24387 .24548 .23763 .23899 Metetra .663 .741 .908 r .23763 .23899 .24387 .24548 .25306 .24199 .24685 .23546 Metetra .663 .741 .907 r .24685 .23546 .25306 .24199 .26228 .23854 .2561 .23192 Metetra .663 .738 .906 r .2561 .23192 .26228 .23854 .27151 .23535 .26538 .22838 Metetra .66 .726 .899 r .26538 .22838 .27151 .23535 .28069 .23324 .27469 .22487 Metetra .647 .681 .868 r .27469 .22487 .28069 .23324 .28938 .23775 .28402 .22154 Metetra .596 .517 .737 r .28402 .22154 .28938 .23775 .29833 .23994 .29335 .21876 Metetra .524 .43 .691 r .29335 .21876 .29833 .23994 .3066 .25219 .30251 .21861 Metetra .477 .342 .617 r .30251 .21861 .3066 .25219 .31652 .24323 .31152 .22122 Metetra .312 .284 .666 r .31152 .22122 .31652 .24323 .32586 .24287 .32029 .22839 Metetra 0 0 .517 r .32029 .22839 .32586 .24287 .33538 .24045 .32869 .2427 Metetra .913 .979 .764 r .32869 .2427 .33538 .24045 .34493 .23844 .33903 .22887 Metetra .33 .496 .872 r .33903 .22887 .34493 .23844 .35451 .23662 .34835 .23145 Metetra .577 .774 .973 r .34835 .23145 .35451 .23662 .36414 .23478 .35803 .22923 Metetra .63 .779 .952 r .35803 .22923 .36414 .23478 .37381 .23305 .3678 .22615 Metetra .516 .684 .943 r .3678 .22615 .37381 .23305 .38353 .23142 .37749 .22524 Metetra .527 .716 .959 r .37749 .22524 .38353 .23142 .39329 .22988 .38727 .22398 Metetra .578 .75 .959 r .38727 .22398 .39329 .22988 .40311 .22843 .39713 .22183 Metetra .56 .717 .946 r .39713 .22183 .40311 .22843 .41297 .22707 .40703 .22011 Metetra .493 .674 .945 r .40703 .22011 .41297 .22707 .42288 .22583 .41693 .21953 Metetra .448 .679 .963 r .41693 .21953 .42288 .22583 .43285 .22469 .42689 .21936 Metetra .591 .781 .971 r .42689 .21936 .43285 .22469 .44287 .22365 .43698 .21681 Metetra .767 .781 .864 r .43698 .21681 .44287 .22365 .45295 .22268 .44724 .20967 Metetra .687 .618 .773 r .44724 .20967 .45295 .22268 .46308 .22173 .4575 .20347 Metetra .202 .255 .695 r .4575 .20347 .46308 .22173 .47328 .2208 .46748 .21252 Metetra .958 .733 .555 r .46748 .21252 .47328 .2208 .48352 .22123 .47859 .15907 Metetra .608 .397 .569 r .47859 .15907 .48352 .22123 .49365 .23803 .4889 .14461 Metetra .538 .328 .543 r .4889 .14461 .49365 .23803 .50427 .21293 .4991 .13906 Metetra .538 .336 .555 r .4991 .13906 .50427 .21293 .51489 .14729 .50932 .1349 Metetra .638 .603 .797 r .50932 .1349 .51489 .14729 .52514 .13865 .51957 .13094 Metetra .662 .726 .896 r .51957 .13094 .52514 .13865 .53541 .1343 .52987 .12699 Metetra .663 .74 .907 r .52987 .12699 .53541 .1343 .54572 .13034 .54021 .12303 Metetra .664 .741 .908 r .54021 .12303 .54572 .13034 .55607 .12639 .55059 .11906 Metetra .664 .741 .908 r .55059 .11906 .55607 .12639 .56647 .12242 .56101 .11506 Metetra .664 .741 .908 r .56101 .11506 .56647 .12242 .5769 .11844 .57147 .11105 Metetra .664 .741 .908 r .57147 .11105 .5769 .11844 .58738 .11445 .58197 .10703 Metetra .664 .741 .908 r .58197 .10703 .58738 .11445 .59789 .11043 .59252 .10299 Metetra .664 .741 .908 r .59252 .10299 .59789 .11043 .60845 .10641 .60311 .09893 Metetra .664 .741 .908 r .60311 .09893 .60845 .10641 .61905 .10236 .61374 .09486 Metetra .664 .741 .908 r .61374 .09486 .61905 .10236 .6297 .0983 .62441 .09077 Metetra .664 .741 .908 r .62441 .09077 .6297 .0983 .64038 .09423 .63512 .08666 Metetra .664 .741 .908 r .63512 .08666 .64038 .09423 .65111 .09014 .64588 .08254 Metetra .664 .741 .908 r .64588 .08254 .65111 .09014 .66189 .08603 .65668 .0784 Metetra .664 .741 .908 r .65668 .0784 .66189 .08603 .6727 .0819 .66753 .07424 Metetra .664 .741 .908 r .66753 .07424 .6727 .0819 .68356 .07776 .67842 .07007 Metetra .664 .741 .908 r .67842 .07007 .68356 .07776 .69446 .0736 .68935 .06588 Metetra .664 .741 .908 r .68935 .06588 .69446 .0736 .70541 .06942 .70033 .06167 Metetra .664 .741 .908 r .07949 .29094 .08608 .29707 .09474 .29376 .08817 .2876 Metetra .664 .741 .908 r .08817 .2876 .09474 .29376 .10343 .29043 .09687 .28425 Metetra .664 .741 .908 r .09687 .28425 .10343 .29043 .11215 .28708 .10561 .28088 Metetra .664 .741 .908 r .10561 .28088 .11215 .28708 .1209 .28373 .11438 .27751 Metetra .664 .741 .908 r .11438 .27751 .1209 .28373 .12968 .28036 .12318 .27412 Metetra .664 .741 .908 r .12318 .27412 .12968 .28036 .1385 .27699 .13201 .27072 Metetra .664 .741 .908 r .13201 .27072 .1385 .27699 .14734 .27359 .14088 .2673 Metetra .664 .741 .908 r .14088 .2673 .14734 .27359 .15622 .27019 .14978 .26388 Metetra .664 .741 .908 r .14978 .26388 .15622 .27019 .16514 .26678 .15871 .26044 Metetra .664 .741 .908 r .15871 .26044 .16514 .26678 .17408 .26335 .16767 .25698 Metetra .664 .741 .908 r .16767 .25698 .17408 .26335 .18306 .25991 .17667 .25352 Metetra .664 .741 .908 r .17667 .25352 .18306 .25991 .19207 .25645 .1857 .25004 Metetra .664 .741 .908 r .1857 .25004 .19207 .25645 .20112 .25299 .19476 .24655 Metetra .664 .741 .908 r .19476 .24655 .20112 .25299 .2102 .24951 .20386 .24305 Metetra .664 .741 .908 r .20386 .24305 .2102 .24951 .21931 .24601 .21299 .23953 Metetra .664 .741 .908 r .21299 .23953 .21931 .24601 .22845 .24251 .22216 .236 Metetra .664 .741 .908 r .22216 .236 .22845 .24251 .23763 .23899 .23136 .23246 Metetra .664 .741 .908 r .23136 .23246 .23763 .23899 .24685 .23546 .24059 .22891 Metetra .664 .741 .908 r .24059 .22891 .24685 .23546 .2561 .23192 .24986 .22534 Metetra .664 .741 .908 r .24986 .22534 .2561 .23192 .26538 .22838 .25917 .22175 Metetra .663 .741 .907 r .25917 .22175 .26538 .22838 .27469 .22487 .26851 .21816 Metetra .663 .738 .906 r .26851 .21816 .27469 .22487 .28402 .22154 .27788 .21456 Metetra .661 .73 .9 r .27788 .21456 .28402 .22154 .29335 .21876 .28729 .21097 Metetra .656 .703 .882 r .28729 .21097 .29335 .21876 .30251 .21861 .29672 .20742 Metetra .633 .612 .811 r .29672 .20742 .30251 .21861 .31152 .22122 .30619 .20402 Metetra .598 .51 .726 r .30619 .20402 .31152 .22122 .32029 .22839 .31566 .20094 Metetra .553 .417 .649 r .31566 .20094 .32029 .22839 .32869 .2427 .3251 .1989 Metetra .531 .359 .592 r .3251 .1989 .32869 .2427 .33903 .22887 .33456 .19738 Metetra .498 .364 .628 r .33456 .19738 .33903 .22887 .34835 .23145 .34389 .19858 Metetra .156 .117 .559 r .34389 .19858 .34835 .23145 .35803 .22923 .35237 .21531 Metetra .813 .658 .691 r .35237 .21531 .35803 .22923 .3678 .22615 .3629 .1985 Metetra .385 .302 .638 r .3629 .1985 .3678 .22615 .37749 .22524 .37217 .20484 Metetra .979 .681 .358 r .37217 .20484 .37749 .22524 .38727 .22398 .37468 .34937 Metetra 0 0 .054 r .37468 .34937 .38727 .22398 .39713 .22183 .39197 .19656 Metetra .636 .484 .659 r .39197 .19656 .39713 .22183 .40703 .22011 .40207 .18918 Metetra .242 .19 .596 r .40207 .18918 .40703 .22011 .41693 .21953 .41137 .2024 Metetra .826 .641 .652 r .41137 .2024 .41693 .21953 .42689 .21936 .4221 .17985 Metetra .675 .471 .602 r .4221 .17985 .42689 .21936 .43698 .21681 .43258 .16255 Metetra .578 .381 .577 r .43258 .16255 .43698 .21681 .44724 .20967 .44273 .15443 Metetra .562 .367 .575 r .44273 .15443 .44724 .20967 .4575 .20347 .45284 .14839 Metetra .552 .36 .575 r .45284 .14839 .4575 .20347 .46748 .21252 .46295 .14362 Metetra .539 .339 .558 r .46295 .14362 .46748 .21252 .47859 .15907 .47308 .13946 Metetra .605 .498 .706 r .47308 .13946 .47859 .15907 .4889 .14461 .48324 .13548 Metetra .656 .681 .862 r .48324 .13548 .4889 .14461 .4991 .13906 .49344 .13155 Metetra .663 .732 .901 r .49344 .13155 .4991 .13906 .50932 .1349 .50369 .1276 Metetra .663 .74 .907 r .50369 .1276 .50932 .1349 .51957 .13094 .51397 .12364 Metetra .664 .741 .908 r .51397 .12364 .51957 .13094 .52987 .12699 .52429 .11967 Metetra .664 .741 .908 r .52429 .11967 .52987 .12699 .54021 .12303 .53466 .11568 Metetra .664 .741 .908 r .53466 .11568 .54021 .12303 .55059 .11906 .54506 .11167 Metetra .664 .741 .908 r .54506 .11167 .55059 .11906 .56101 .11506 .55551 .10765 Metetra .664 .741 .908 r .55551 .10765 .56101 .11506 .57147 .11105 .566 .10361 Metetra .664 .741 .908 r .566 .10361 .57147 .11105 .58197 .10703 .57653 .09955 Metetra .664 .741 .908 r .57653 .09955 .58197 .10703 .59252 .10299 .5871 .09548 Metetra .664 .741 .908 r .5871 .09548 .59252 .10299 .60311 .09893 .59772 .0914 Metetra .664 .741 .908 r .59772 .0914 .60311 .09893 .61374 .09486 .60838 .08729 Metetra .664 .741 .908 r .60838 .08729 .61374 .09486 .62441 .09077 .61908 .08317 Metetra .664 .741 .908 r .61908 .08317 .62441 .09077 .63512 .08666 .62982 .07903 Metetra .664 .741 .908 r .62982 .07903 .63512 .08666 .64588 .08254 .64061 .07488 Metetra .664 .741 .908 r .64061 .07488 .64588 .08254 .65668 .0784 .65144 .07071 Metetra .664 .741 .908 r .65144 .07071 .65668 .0784 .66753 .07424 .66232 .06652 Metetra .664 .741 .908 r .66232 .06652 .66753 .07424 .67842 .07007 .67324 .06232 Metetra .664 .741 .908 r .67324 .06232 .67842 .07007 .68935 .06588 .6842 .0581 Metetra .664 .741 .908 r .6842 .0581 .68935 .06588 .70033 .06167 .69521 .05386 Metetra .664 .741 .908 r .07286 .28476 .07949 .29094 .08817 .2876 .08155 .2814 Metetra .664 .741 .908 r .08155 .2814 .08817 .2876 .09687 .28425 .09027 .27803 Metetra .664 .741 .908 r .09027 .27803 .09687 .28425 .10561 .28088 .09903 .27464 Metetra .664 .741 .908 r .09903 .27464 .10561 .28088 .11438 .27751 .10782 .27124 Metetra .664 .741 .908 r .10782 .27124 .11438 .27751 .12318 .27412 .11663 .26783 Metetra .664 .741 .908 r .11663 .26783 .12318 .27412 .13201 .27072 .12549 .2644 Metetra .664 .741 .908 r .12549 .2644 .13201 .27072 .14088 .2673 .13437 .26097 Metetra .664 .741 .908 r .13437 .26097 .14088 .2673 .14978 .26388 .14329 .25752 Metetra .664 .741 .908 r .14329 .25752 .14978 .26388 .15871 .26044 .15224 .25405 Metetra .664 .741 .908 r .15224 .25405 .15871 .26044 .16767 .25698 .16122 .25058 Metetra .664 .741 .908 r .16122 .25058 .16767 .25698 .17667 .25352 .17023 .24709 Metetra .664 .741 .908 r .17023 .24709 .17667 .25352 .1857 .25004 .17928 .24359 Metetra .664 .741 .908 r .17928 .24359 .1857 .25004 .19476 .24655 .18837 .24007 Metetra .664 .741 .908 r .18837 .24007 .19476 .24655 .20386 .24305 .19748 .23655 Metetra .664 .741 .908 r .19748 .23655 .20386 .24305 .21299 .23953 .20664 .23301 Metetra .664 .741 .908 r .20664 .23301 .21299 .23953 .22216 .236 .21582 .22945 Metetra .664 .741 .908 r .21582 .22945 .22216 .236 .23136 .23246 .22504 .22589 Metetra .664 .741 .908 r .22504 .22589 .23136 .23246 .24059 .22891 .2343 .22231 Metetra .664 .741 .908 r .2343 .22231 .24059 .22891 .24986 .22534 .24359 .21871 Metetra .664 .741 .908 r .24359 .21871 .24986 .22534 .25917 .22175 .25291 .2151 Metetra .664 .741 .908 r .25291 .2151 .25917 .22175 .26851 .21816 .26227 .21148 Metetra .664 .741 .908 r .26227 .21148 .26851 .21816 .27788 .21456 .27166 .20785 Metetra .663 .741 .908 r .27166 .20785 .27788 .21456 .28729 .21097 .28109 .2042 Metetra .663 .74 .907 r .28109 .2042 .28729 .21097 .29672 .20742 .29056 .20054 Metetra .663 .737 .905 r .29056 .20054 .29672 .20742 .30619 .20402 .30006 .19687 Metetra .662 .729 .899 r .30006 .19687 .30619 .20402 .31566 .20094 .3096 .1932 Metetra .659 .71 .885 r .3096 .1932 .31566 .20094 .3251 .1989 .31917 .18953 Metetra .65 .663 .849 r .31917 .18953 .3251 .1989 .33456 .19738 .32878 .18586 Metetra .637 .611 .807 r .32878 .18586 .33456 .19738 .34389 .19858 .33843 .18222 Metetra .612 .529 .737 r .33843 .18222 .34389 .19858 .35237 .21531 .3481 .17859 Metetra .561 .394 .612 r .3481 .17859 .35237 .21531 .3629 .1985 .35782 .17495 Metetra .587 .459 .673 r .35782 .17495 .3629 .1985 .37217 .20484 .36758 .17129 Metetra .566 .406 .623 r .36758 .17129 .37217 .20484 .37468 .34937 .37737 .16755 Metetra .515 .292 .514 r .37737 .16755 .37468 .34937 .39197 .19656 .38722 .16368 Metetra .57 .41 .626 r .38722 .16368 .39197 .19656 .40207 .18918 .3971 .15975 Metetra .577 .427 .641 r .3971 .15975 .40207 .18918 .41137 .2024 .40702 .15578 Metetra .552 .37 .588 r .40702 .15578 .41137 .2024 .4221 .17985 .41698 .1518 Metetra .579 .434 .648 r .41698 .1518 .4221 .17985 .43258 .16255 .42697 .14784 Metetra .625 .559 .761 r .42697 .14784 .43258 .16255 .44273 .15443 .437 .14391 Metetra .648 .643 .832 r .437 .14391 .44273 .15443 .45284 .14839 .44707 .14 Metetra .659 .702 .878 r .44707 .14 .45284 .14839 .46295 .14362 .45718 .13608 Metetra .662 .73 .9 r .45718 .13608 .46295 .14362 .47308 .13946 .46733 .13215 Metetra .663 .739 .906 r .46733 .13215 .47308 .13946 .48324 .13548 .47751 .12821 Metetra .664 .741 .908 r .47751 .12821 .48324 .13548 .49344 .13155 .48774 .12425 Metetra .664 .741 .908 r .48774 .12425 .49344 .13155 .50369 .1276 .49801 .12028 Metetra .664 .741 .908 r .49801 .12028 .50369 .1276 .51397 .12364 .50832 .11629 Metetra .664 .741 .908 r .50832 .11629 .51397 .12364 .52429 .11967 .51867 .11229 Metetra .664 .741 .908 r .51867 .11229 .52429 .11967 .53466 .11568 .52906 .10827 Metetra .664 .741 .908 r .52906 .10827 .53466 .11568 .54506 .11167 .5395 .10423 Metetra .664 .741 .908 r .5395 .10423 .54506 .11167 .55551 .10765 .54997 .10018 Metetra .664 .741 .908 r .54997 .10018 .55551 .10765 .566 .10361 .56049 .09611 Metetra .664 .741 .908 r .56049 .09611 .566 .10361 .57653 .09955 .57105 .09202 Metetra .664 .741 .908 r .57105 .09202 .57653 .09955 .5871 .09548 .58165 .08792 Metetra .664 .741 .908 r .58165 .08792 .5871 .09548 .59772 .0914 .59229 .08381 Metetra .664 .741 .908 r .59229 .08381 .59772 .0914 .60838 .08729 .60298 .07967 Metetra .664 .741 .908 r .60298 .07967 .60838 .08729 .61908 .08317 .61371 .07552 Metetra .664 .741 .908 r .61371 .07552 .61908 .08317 .62982 .07903 .62448 .07135 Metetra .664 .741 .908 r .62448 .07135 .62982 .07903 .64061 .07488 .6353 .06717 Metetra .664 .741 .908 r .6353 .06717 .64061 .07488 .65144 .07071 .64616 .06296 Metetra .664 .741 .908 r .64616 .06296 .65144 .07071 .66232 .06652 .65707 .05875 Metetra .664 .741 .908 r .65707 .05875 .66232 .06652 .67324 .06232 .66802 .05451 Metetra .664 .741 .908 r .66802 .05451 .67324 .06232 .6842 .0581 .67901 .05026 Metetra .664 .741 .908 r .67901 .05026 .6842 .0581 .69521 .05386 .69006 .04598 Metetra .664 .741 .908 r .06618 .27855 .07286 .28476 .08155 .2814 .07489 .27516 Metetra .664 .741 .908 r .07489 .27516 .08155 .2814 .09027 .27803 .08363 .27176 Metetra .664 .741 .908 r .08363 .27176 .09027 .27803 .09903 .27464 .0924 .26835 Metetra .664 .741 .908 r .0924 .26835 .09903 .27464 .10782 .27124 .10121 .26493 Metetra .664 .741 .908 r .10121 .26493 .10782 .27124 .11663 .26783 .11004 .2615 Metetra .664 .741 .908 r .11004 .2615 .11663 .26783 .12549 .2644 .11891 .25805 Metetra .664 .741 .908 r .11891 .25805 .12549 .2644 .13437 .26097 .12782 .25459 Metetra .664 .741 .908 r .12782 .25459 .13437 .26097 .14329 .25752 .13675 .25111 Metetra .664 .741 .908 r .13675 .25111 .14329 .25752 .15224 .25405 .14572 .24763 Metetra .664 .741 .908 r .14572 .24763 .15224 .25405 .16122 .25058 .15472 .24413 Metetra .664 .741 .908 r .15472 .24413 .16122 .25058 .17023 .24709 .16376 .24062 Metetra .664 .741 .908 r .16376 .24062 .17023 .24709 .17928 .24359 .17282 .23709 Metetra .664 .741 .908 r .17282 .23709 .17928 .24359 .18837 .24007 .18193 .23355 Metetra .664 .741 .908 r .18193 .23355 .18837 .24007 .19748 .23655 .19106 .23 Metetra .664 .741 .908 r .19106 .23 .19748 .23655 .20664 .23301 .20023 .22644 Metetra .664 .741 .908 r .20023 .22644 .20664 .23301 .21582 .22945 .20944 .22286 Metetra .664 .741 .908 r .20944 .22286 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Each of these bandpass signals is passed through a half-wave rectifier and then through four stages of AGC. The half-wave rectifier models the detection nonlinearity of the hair cells, providing a non-negative output that can be used to represent neural response. The AGC stages described below depend on their inputs being rectified. :[font = text; inactive; dontPreserveAspect] Each stage uses a different time constant to simulate the different adaptation times in the ear. The cochlear model as currently implemented uses four stages of AGC. Each AGC in turn reduces the level of the channel, but with shorter time constants. The target values and time constants that are currently used are: First AGC: .0032 640ms Second AGC: .0016 160ms Third AGC: .0008 40ms Fourth AGC: .0004 10ms The significance of these figures will be explained shortly. ;[s] 3:0,0;257,1;263,0;566,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = text; inactive; dontPreserveAspect] The half-wave rectification provides a crude energy measure in the signal. Each AGC stage is implemented as a variable gain which tries to keep the output of the AGC stage from exceeding a fixed level. In general the gain will be between zero and one. To model the masking effects of the ear, each stage of the AGC combines the bandpass outputs from the current channel plus its nearest neighbors. Since all channels are coupled one channel can affect all channels in the filter bank although the effect will decay exponentially with distance. :[font = text; inactive; dontPreserveAspect] The resulting AGC is shown below. The letter e in the drawing is the same as the epsilon variable in the equations to follow. Likewise the letter t is substituted for target. ;[s] 9:0,0;46,1;47,0;82,1;89,0;148,1;149,0;169,1;175,0;177,-1; 2:5,17,12,Geneva,0,12,0,0,0;4,17,12,Geneva,1,12,0,0,0; :[font = input; PICT; formatAsPICT; output; inactive; dontPreserveAspect; pictureLeft = 39; pictureWidth = 358; pictureHeight = 318; pictureID = 32242] :[font = text; inactive; dontPreserveAspect] The purpose of the AGC is to attenuate the incoming signal so that on average it remains below the target value. The loop with a feedback gain of (1-epsilon)/3 (the state equation below) represents a simple low pass filter with a time constant related to the epsilon parameter. A longer time constant means that the AGC takes longer to respond to the input. The division by 3 in this expression in effect takes the average of the left, right and current channels. The target parameter is used to scale the input to the loop filter, y. In the long run the state equation will track the value of the output of the AGC divided by the value of target. ;[s] 17:0,0;99,1;105,0;147,1;160,0;166,1;171,0;260,1;267,0;472,1;477,0;536,1;537,0;560,1;565,0;645,1;651,0;655,-1; 2:9,17,12,Geneva,0,12,0,0,0;8,17,12,Geneva,1,12,0,0,0; :[font = text; inactive; dontPreserveAspect] Assuming the left, middle and right inputs are equal, the following equations define the response of the AGC. :[font = input; initialization; dontPreserveAspect] *) Gain[i_] := 1 - State[i-1] (* :[font = input; initialization; dontPreserveAspect] *) State[i_,y_,epsilon_,target_] := State[i,y,epsilon,target] = epsilon*y/target + 3*State[i-1]*((1-epsilon)/3) (* :[font = text; inactive; dontPreserveAspect] In the long term the output of the state loop (for constant input y in all channels) will be equal to the output value divided by the target. This is found using Mathematica by solving the following equation. ;[s] 9:0,0;35,2;40,0;66,2;67,0;134,2;140,0;163,1;174,0;210,-1; 3:5,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] Solve[state == epsilon y/target + state(1 - epsilon), state] :[font = output; output; inactive; dontPreserveAspect; endGroup] {{state -> y/target}} ;[o] y {{state -> ------}} target :[font = text; inactive; dontPreserveAspect] The output of the AGC is found by replacing the state in the gain equation above with the steady state solution. Thus the steady state output of the AGC is ;[s] 3:0,0;48,1;53,0;157,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] Solve[y == x ( 1 - y / target),y] :[font = output; output; inactive; dontPreserveAspect; endGroup] {{y -> (target*x)/(target + x)}} ;[o] target x {{y -> ----------}} target + x :[font = text; inactive; dontPreserveAspect] If the target is equal to one then the following curve shows the output of the AGC versus input values. Note the limit of this function for large input values is equal to target (one in this case.) ;[s] 5:0,0;7,1;13,0;173,1;180,0;200,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) AGCFun[x_,target_] = N[target x / (target + x)]; (* :[font = input; dontPreserveAspect; startGroup] Plot[AGCFun[x,1],{x,0,4}]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.238095 0.0147151 0.735755 [ [(1)] .2619 .01472 0 2 Msboxa [(2)] .5 .01472 0 2 Msboxa [(3)] .7381 .01472 0 2 Msboxa [(4)] .97619 .01472 0 2 Msboxa [(0.2)] .01131 .16187 1 0 Msboxa [(0.4)] .01131 .30902 1 0 Msboxa [(0.6)] .01131 .45617 1 0 Msboxa [(0.8)] .01131 .60332 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .01472 m .2619 .02097 L s P [(1)] .2619 .01472 0 2 Mshowa p .002 w .5 .01472 m .5 .02097 L s P [(2)] .5 .01472 0 2 Mshowa p .002 w .7381 .01472 m .7381 .02097 L s P [(3)] .7381 .01472 0 2 Mshowa p .002 w .97619 .01472 m .97619 .02097 L s P [(4)] .97619 .01472 0 2 Mshowa p .001 w .07143 .01472 m .07143 .01847 L s P p .001 w .11905 .01472 m .11905 .01847 L s P p .001 w .16667 .01472 m .16667 .01847 L s P p .001 w .21429 .01472 m .21429 .01847 L s P p .001 w .30952 .01472 m .30952 .01847 L s P p .001 w .35714 .01472 m .35714 .01847 L s P p .001 w .40476 .01472 m .40476 .01847 L s P p .001 w .45238 .01472 m .45238 .01847 L s P p .001 w .54762 .01472 m .54762 .01847 L s P p .001 w .59524 .01472 m .59524 .01847 L s P p .001 w .64286 .01472 m .64286 .01847 L s P p .001 w .69048 .01472 m .69048 .01847 L s P p .001 w .78571 .01472 m .78571 .01847 L s P p .001 w .83333 .01472 m .83333 .01847 L s P p .001 w .88095 .01472 m .88095 .01847 L s P p .001 w .92857 .01472 m .92857 .01847 L s P p .002 w 0 .01472 m 1 .01472 L s P p .002 w .02381 .16187 m .03006 .16187 L s P [(0.2)] .01131 .16187 1 0 Mshowa p .002 w .02381 .30902 m .03006 .30902 L s P [(0.4)] .01131 .30902 1 0 Mshowa p .002 w .02381 .45617 m .03006 .45617 L s P [(0.6)] .01131 .45617 1 0 Mshowa p .002 w .02381 .60332 m .03006 .60332 L s P [(0.8)] .01131 .60332 1 0 Mshowa p .001 w .02381 .04415 m .02756 .04415 L s P p .001 w .02381 .07358 m .02756 .07358 L s P p .001 w .02381 .10301 m .02756 .10301 L s P p .001 w .02381 .13244 m .02756 .13244 L s P p .001 w .02381 .1913 m .02756 .1913 L s P p .001 w .02381 .22073 m .02756 .22073 L s P p .001 w .02381 .25016 m .02756 .25016 L s P p .001 w .02381 .27959 m .02756 .27959 L s P p .001 w .02381 .33845 m .02756 .33845 L s P p .001 w .02381 .36788 m .02756 .36788 L s P p .001 w .02381 .39731 m .02756 .39731 L s P p .001 w .02381 .42674 m .02756 .42674 L s P p .001 w .02381 .4856 m .02756 .4856 L s P p .001 w .02381 .51503 m .02756 .51503 L s P p .001 w .02381 .54446 m .02756 .54446 L s P p .001 w .02381 .57389 m .02756 .57389 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02381 .01472 m .06349 .11982 L .10317 .19865 L .14286 .25997 L .18254 .30902 L .22222 .34915 L .2619 .38259 L .30159 .41089 L .34127 .43515 L .38095 .45617 L .42063 .47456 L .46032 .49079 L .5 .50522 L .53968 .51813 L .57937 .52974 L .61905 .54025 L .65873 .54981 L .69841 .55853 L .7381 .56653 L .77778 .57389 L .81746 .58068 L .85714 .58697 L .89683 .59281 L .93651 .59824 L .97619 .60332 L s P P % End of Graphics MathPictureEnd :[font = input; dontPreserveAspect; startGroup] Limit[AGCFun[x,target],x->Infinity] :[font = output; output; inactive; dontPreserveAspect; endGroup] target ;[o] target :[font = text; inactive; dontPreserveAspect] The output of the AGC scales. With a target of .1 the following transfer function is measured. ;[s] 3:0,0;38,1;44,0;96,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] Plot[AGCFun[x,.1],{x,0,1}]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.0147151 6.47464 [ [(0.2)] .21429 .01472 0 2 Msboxa [(0.4)] .40476 .01472 0 2 Msboxa [(0.6)] .59524 .01472 0 2 Msboxa [(0.8)] .78571 .01472 0 2 Msboxa [(1)] .97619 .01472 0 2 Msboxa [(0.02)] .01131 .14421 1 0 Msboxa [(0.04)] .01131 .2737 1 0 Msboxa [(0.06)] .01131 .40319 1 0 Msboxa [(0.08)] .01131 .53269 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .21429 .01472 m .21429 .02097 L s P [(0.2)] .21429 .01472 0 2 Mshowa p .002 w .40476 .01472 m .40476 .02097 L s P [(0.4)] .40476 .01472 0 2 Mshowa p .002 w .59524 .01472 m .59524 .02097 L s P [(0.6)] .59524 .01472 0 2 Mshowa p .002 w .78571 .01472 m .78571 .02097 L s P [(0.8)] .78571 .01472 0 2 Mshowa p .002 w .97619 .01472 m .97619 .02097 L s P [(1)] .97619 .01472 0 2 Mshowa p .001 w .0619 .01472 m .0619 .01847 L s P p .001 w .1 .01472 m .1 .01847 L s P p .001 w .1381 .01472 m .1381 .01847 L s P p .001 w .17619 .01472 m .17619 .01847 L s P p .001 w .25238 .01472 m .25238 .01847 L s P p .001 w .29048 .01472 m .29048 .01847 L s P p .001 w .32857 .01472 m .32857 .01847 L s P p .001 w .36667 .01472 m .36667 .01847 L s P p .001 w .44286 .01472 m .44286 .01847 L s P p .001 w .48095 .01472 m .48095 .01847 L s P p .001 w .51905 .01472 m .51905 .01847 L s P p .001 w .55714 .01472 m .55714 .01847 L s P p .001 w .63333 .01472 m .63333 .01847 L s P p .001 w .67143 .01472 m .67143 .01847 L s P p .001 w .70952 .01472 m .70952 .01847 L s P p .001 w .74762 .01472 m .74762 .01847 L s P p .001 w .82381 .01472 m .82381 .01847 L s P p .001 w .8619 .01472 m .8619 .01847 L s P p .001 w .9 .01472 m .9 .01847 L s P p .001 w .9381 .01472 m .9381 .01847 L s P p .002 w 0 .01472 m 1 .01472 L s P p .002 w .02381 .14421 m .03006 .14421 L s P [(0.02)] .01131 .14421 1 0 Mshowa p .002 w .02381 .2737 m .03006 .2737 L s P [(0.04)] .01131 .2737 1 0 Mshowa p .002 w .02381 .40319 m .03006 .40319 L s P [(0.06)] .01131 .40319 1 0 Mshowa p .002 w .02381 .53269 m .03006 .53269 L s P [(0.08)] .01131 .53269 1 0 Mshowa p .001 w .02381 .04061 m .02756 .04061 L s P p .001 w .02381 .06651 m .02756 .06651 L s P p .001 w .02381 .09241 m .02756 .09241 L s P p .001 w .02381 .11831 m .02756 .11831 L s P p .001 w .02381 .17011 m .02756 .17011 L s P p .001 w .02381 .19601 m .02756 .19601 L s P p .001 w .02381 .2219 m .02756 .2219 L s P p .001 w .02381 .2478 m .02756 .2478 L s P p .001 w .02381 .2996 m .02756 .2996 L s P p .001 w .02381 .3255 m .02756 .3255 L s P p .001 w .02381 .3514 m .02756 .3514 L s P p .001 w .02381 .3773 m .02756 .3773 L s P p .001 w .02381 .42909 m .02756 .42909 L s P p .001 w .02381 .45499 m .02756 .45499 L s P p .001 w .02381 .48089 m .02756 .48089 L s P p .001 w .02381 .50679 m .02756 .50679 L s P p .001 w .02381 .55859 m .02756 .55859 L s P p .001 w .02381 .58448 m .02756 .58448 L s P p .001 w .02381 .61038 m .02756 .61038 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02381 .01472 m .04365 .12635 L .06349 .20515 L .08333 .26374 L .10317 .30902 L .12302 .34505 L .14286 .37442 L .18254 .41938 L .22222 .45219 L .2619 .47719 L .30159 .49687 L .34127 .51276 L .38095 .52587 L .42063 .53686 L .46032 .54622 L .5 .55427 L .53968 .56128 L .57937 .56743 L .61905 .57287 L .65873 .57773 L .69841 .58208 L .7381 .58601 L .77778 .58957 L .81746 .59281 L .85714 .59577 L .89683 .59849 L .93651 .601 L .97619 .60332 L s P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Plotting the resoponse on a logarithmic axis we see the output of the AGC approach the target value (.0004 this time.) :[font = input; dontPreserveAspect; startGroup] Plot[AGCFun[10^x,.0004],{x,-6,0}, AxesLabel->{"Log(10) of Input","AGC Output"}]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.97619 0.15873 0.0147151 1472.1 [ [(-6)] .02381 .01472 0 2 Msboxa [(-5)] .18254 .01472 0 2 Msboxa [(-4)] .34127 .01472 0 2 Msboxa [(-3)] .5 .01472 0 2 Msboxa [(-2)] .65873 .01472 0 2 Msboxa [(-1)] .81746 .01472 0 2 Msboxa [(Log\(10\) of Input)] 1.025 .01472 -1 0 Msboxa [(0.0001)] .96369 .16192 1 0 Msboxa [(0.0002)] .96369 .30913 1 0 Msboxa [(0.0003)] .96369 .45634 1 0 Msboxa [(0.0004)] .96369 .60355 1 0 Msboxa [(AGC Output)] .97619 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .02381 .01472 m .02381 .02097 L s P [(-6)] .02381 .01472 0 2 Mshowa p .002 w .18254 .01472 m .18254 .02097 L s P [(-5)] .18254 .01472 0 2 Mshowa p .002 w .34127 .01472 m .34127 .02097 L s P [(-4)] .34127 .01472 0 2 Mshowa p .002 w .5 .01472 m .5 .02097 L s P [(-3)] .5 .01472 0 2 Mshowa p .002 w .65873 .01472 m .65873 .02097 L s P [(-2)] .65873 .01472 0 2 Mshowa p .002 w .81746 .01472 m .81746 .02097 L s P [(-1)] .81746 .01472 0 2 Mshowa p .001 w .05556 .01472 m .05556 .01847 L s P p .001 w .0873 .01472 m .0873 .01847 L s P p .001 w .11905 .01472 m .11905 .01847 L s P p .001 w .15079 .01472 m .15079 .01847 L s P p .001 w .21429 .01472 m .21429 .01847 L s P p .001 w .24603 .01472 m .24603 .01847 L s P p .001 w .27778 .01472 m .27778 .01847 L s P p .001 w .30952 .01472 m .30952 .01847 L s P p .001 w .37302 .01472 m .37302 .01847 L s P p .001 w .40476 .01472 m .40476 .01847 L s P p .001 w .43651 .01472 m .43651 .01847 L s P p .001 w .46825 .01472 m .46825 .01847 L s P p .001 w .53175 .01472 m .53175 .01847 L s P p .001 w .56349 .01472 m .56349 .01847 L s P p .001 w .59524 .01472 m .59524 .01847 L s P p .001 w .62698 .01472 m .62698 .01847 L s P p .001 w .69048 .01472 m .69048 .01847 L s P p .001 w .72222 .01472 m .72222 .01847 L s P p .001 w .75397 .01472 m .75397 .01847 L s P p .001 w .78571 .01472 m .78571 .01847 L s P p .001 w .84921 .01472 m .84921 .01847 L s P p .001 w .88095 .01472 m .88095 .01847 L s P p .001 w .9127 .01472 m .9127 .01847 L s P p .001 w .94444 .01472 m .94444 .01847 L s P [(Log\(10\) of Input)] 1.025 .01472 -1 0 Mshowa p .002 w 0 .01472 m 1 .01472 L s P p .002 w .97619 .16192 m .98244 .16192 L s P [(0.0001)] .96369 .16192 1 0 Mshowa p .002 w .97619 .30913 m .98244 .30913 L s P [(0.0002)] .96369 .30913 1 0 Mshowa p .002 w .97619 .45634 m .98244 .45634 L s P [(0.0003)] .96369 .45634 1 0 Mshowa p .002 w .97619 .60355 m .98244 .60355 L s P [(0.0004)] .96369 .60355 1 0 Mshowa p .001 w .97619 .04416 m .97994 .04416 L s P p .001 w .97619 .0736 m .97994 .0736 L s P p .001 w .97619 .10304 m .97994 .10304 L s P p .001 w .97619 .13248 m .97994 .13248 L s P p .001 w .97619 .19137 m .97994 .19137 L s P p .001 w .97619 .22081 m .97994 .22081 L s P p .001 w .97619 .25025 m .97994 .25025 L s P p .001 w .97619 .27969 m .97994 .27969 L s P p .001 w .97619 .33858 m .97994 .33858 L s P p .001 w .97619 .36802 m .97994 .36802 L s P p .001 w .97619 .39746 m .97994 .39746 L s P p .001 w .97619 .4269 m .97994 .4269 L s P p .001 w .97619 .48579 m .97994 .48579 L s P p .001 w .97619 .51523 m .97994 .51523 L s P p .001 w .97619 .54467 m .97994 .54467 L s P p .001 w .97619 .57411 m .97994 .57411 L s P [(AGC Output)] .97619 .61803 0 -4 Mshowa p .002 w .97619 0 m .97619 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02381 .01618 m .04365 .01667 L .06349 .01732 L .08333 .01819 L .10317 .01933 L .12302 .02086 L .14286 .02288 L .1627 .02555 L .18254 .02908 L .20238 .03371 L .22222 .03978 L .24206 .04767 L .2619 .05786 L .28175 .07087 L .30159 .08729 L .34127 .13248 L .38095 .19593 L .42063 .2747 L .46032 .3588 L .5 .43531 L .51984 .46768 L .53968 .49543 L .55952 .51857 L .57937 .53743 L .59921 .55254 L .61905 .56445 L .63889 .57374 L .65873 .58091 L .67857 .58641 L .69841 .5906 L .71825 .59379 L .7381 .5962 L .75794 .59802 L .77778 .5994 L .79762 .60043 L .81746 .60121 L .8373 .60179 L .85714 .60223 L .87698 .60256 L .89683 .60281 L .91667 .603 L .93651 .60314 L .95635 .60324 L .97619 .60332 L s P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Using actual targets described above for four cascaded stages, here is the overall response (again on a logarithmic scale): :[font = input; dontPreserveAspect; startGroup] Plot[AGCFun[AGCFun[AGCFun[AGCFun[10^x,.0032], .0016], .0008], .0004], {x,-6,0}, AxesLabel->{"Log(10) of Input","AGC Output"}]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 50; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.97619 0.15873 0.0147151 2759.67 [ [(-6)] .02381 .01472 0 2 Msboxa [(-5)] .18254 .01472 0 2 Msboxa [(-4)] .34127 .01472 0 2 Msboxa [(-3)] .5 .01472 0 2 Msboxa [(-2)] .65873 .01472 0 2 Msboxa [(-1)] .81746 .01472 0 2 Msboxa [(Log\(10\) of Input)] 1.025 .01472 -1 0 Msboxa [(0.00005)] .96369 .1527 1 0 Msboxa [(0.0001)] .96369 .29068 1 0 Msboxa [(0.00015)] .96369 .42867 1 0 Msboxa [(0.0002)] .96369 .56665 1 0 Msboxa [(AGC Output)] .97619 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .02381 .01472 m .02381 .02097 L s P [(-6)] .02381 .01472 0 2 Mshowa p .002 w .18254 .01472 m .18254 .02097 L s P [(-5)] .18254 .01472 0 2 Mshowa p .002 w .34127 .01472 m .34127 .02097 L s P [(-4)] .34127 .01472 0 2 Mshowa p .002 w .5 .01472 m .5 .02097 L s P [(-3)] .5 .01472 0 2 Mshowa p .002 w .65873 .01472 m .65873 .02097 L s P [(-2)] .65873 .01472 0 2 Mshowa p .002 w .81746 .01472 m .81746 .02097 L s P [(-1)] .81746 .01472 0 2 Mshowa p .001 w .05556 .01472 m .05556 .01847 L s P p .001 w .0873 .01472 m .0873 .01847 L s P p .001 w .11905 .01472 m .11905 .01847 L s P p .001 w .15079 .01472 m .15079 .01847 L s P p .001 w .21429 .01472 m .21429 .01847 L s P p .001 w .24603 .01472 m .24603 .01847 L s P p .001 w .27778 .01472 m .27778 .01847 L s P p .001 w .30952 .01472 m .30952 .01847 L s P p .001 w .37302 .01472 m .37302 .01847 L s P p .001 w .40476 .01472 m .40476 .01847 L s P p .001 w .43651 .01472 m .43651 .01847 L s P p .001 w .46825 .01472 m .46825 .01847 L s P p .001 w .53175 .01472 m .53175 .01847 L s P p .001 w .56349 .01472 m .56349 .01847 L s P p .001 w .59524 .01472 m .59524 .01847 L s P p .001 w .62698 .01472 m .62698 .01847 L s P p .001 w .69048 .01472 m .69048 .01847 L s P p .001 w .72222 .01472 m .72222 .01847 L s P p .001 w .75397 .01472 m .75397 .01847 L s P p .001 w .78571 .01472 m .78571 .01847 L s P p .001 w .84921 .01472 m .84921 .01847 L s P p .001 w .88095 .01472 m .88095 .01847 L s P p .001 w .9127 .01472 m .9127 .01847 L s P p .001 w .94444 .01472 m .94444 .01847 L s P [(Log\(10\) of Input)] 1.025 .01472 -1 0 Mshowa p .002 w 0 .01472 m 1 .01472 L s P p .002 w .97619 .1527 m .98244 .1527 L s P [(0.00005)] .96369 .1527 1 0 Mshowa p .002 w .97619 .29068 m .98244 .29068 L s P [(0.0001)] .96369 .29068 1 0 Mshowa p .002 w .97619 .42867 m .98244 .42867 L s P [(0.00015)] .96369 .42867 1 0 Mshowa p .002 w .97619 .56665 m .98244 .56665 L s P [(0.0002)] .96369 .56665 1 0 Mshowa p .001 w .97619 .04231 m .97994 .04231 L s P p .001 w .97619 .06991 m .97994 .06991 L s P p .001 w .97619 .09751 m .97994 .09751 L s P p .001 w .97619 .1251 m .97994 .1251 L s P p .001 w .97619 .1803 m .97994 .1803 L s P p .001 w .97619 .20789 m .97994 .20789 L s P p .001 w .97619 .23549 m .97994 .23549 L s P p .001 w .97619 .26309 m .97994 .26309 L s P p .001 w .97619 .31828 m .97994 .31828 L s P p .001 w .97619 .34588 m .97994 .34588 L s P p .001 w .97619 .37347 m .97994 .37347 L s P p .001 w .97619 .40107 m .97994 .40107 L s P p .001 w .97619 .45626 m .97994 .45626 L s P p .001 w .97619 .48386 m .97994 .48386 L s P p .001 w .97619 .51146 m .97994 .51146 L s P p .001 w .97619 .53905 m .97994 .53905 L s P p .001 w .97619 .59425 m .97994 .59425 L s P [(AGC Output)] .97619 .61803 0 -4 Mshowa p .002 w .97619 0 m .97619 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02381 .01746 m .04365 .01837 L .06349 .01958 L .08333 .02119 L .10317 .02331 L .12302 .02613 L .14286 .02984 L .1627 .03471 L .18254 .04108 L .20238 .04935 L .22222 .06001 L .24206 .07361 L .2619 .09072 L .30159 .13753 L .34127 .20261 L .38095 .28236 L .42063 .36628 L .46032 .44153 L .48016 .47305 L .5 .49993 L .51984 .52225 L .53968 .54038 L .55952 .55485 L .57937 .56624 L .59921 .5751 L .61905 .58193 L .63889 .58716 L .65873 .59115 L .67857 .59417 L .69841 .59647 L .71825 .5982 L .7381 .5995 L .75794 .60048 L .77778 .60122 L .79762 .60177 L .81746 .60219 L .8373 .6025 L .85714 .60274 L .87698 .60292 L .89683 .60305 L .91667 .60315 L .93651 .60322 L .95635 .60328 L .97619 .60332 L s P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] The impulse response of the AGC is uninteresting not only because the AGC is a nonlinear filter but also because all impulses are passed through unchanged. This is because the gain reduction occurs after the impulse has ended. Instead we will demonstrate the behaviour of the AGC using step inputs. The following function simulates the AGC response for step inputs of arbitrary height (input). The result of this function is a list of output values for the AGC at each step in time. ;[s] 3:0,0;389,1;394,0;487,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) AGCResponse[input_, target_, epsilon_, count_] := Block[{response,state,eps,eps1}, state = 0; eps = epsilon/target; eps1 = 1 - epsilon; response = Table[0,{i,1,count}]; Do [response[[i]] = N[(1-state)*input]; state = response[[i]]*eps + state*eps1, {i,1,count+1}]; response]; (* :[font = text; inactive; dontPreserveAspect] This leads to the following behavior for small inputs (we will use a target value of 1 and an epsilon of .2 for most illustrations .) ;[s] 5:0,0;69,1;75,0;94,1;101,0;134,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) PlotResponse[responselist_] := ListPlot[responselist, PlotRange->{{0,Length[responselist]}, {-1,1+Max[responselist]}}, Axes->{0,0}, PlotJoined->True]; (* :[font = text; inactive; dontPreserveAspect] For a step input of height .5, a target value of 1 and an epsilon of .2 the following plot shows the first 15 outputs of this AGC. ;[s] 7:0,0;11,1;16,0;33,1;39,0;58,1;65,0;131,-1; 2:4,17,12,Geneva,0,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] PlotResponse[AGCResponse[.5,1,.2,15]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 172; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 6.93889e-18 0.0666667 0.247214 0.247214 [ [(2)] .13333 .24721 0 2 Msboxa [(4)] .26667 .24721 0 2 Msboxa [(6)] .4 .24721 0 2 Msboxa [(8)] .53333 .24721 0 2 Msboxa [(10)] .66667 .24721 0 2 Msboxa [(12)] .8 .24721 0 2 Msboxa [(14)] .93333 .24721 0 2 Msboxa [(-1)] -0.0125 0 1 0 Msboxa [(-0.5)] -0.0125 .12361 1 0 Msboxa [(0)] -0.0125 .24721 1 0 Msboxa [(0.5)] -0.0125 .37082 1 0 Msboxa [(1)] -0.0125 .49443 1 0 Msboxa [(1.5)] -0.0125 .61803 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .13333 .24721 m .13333 .25346 L s P [(2)] .13333 .24721 0 2 Mshowa p .002 w .26667 .24721 m .26667 .25346 L s P [(4)] .26667 .24721 0 2 Mshowa p .002 w .4 .24721 m .4 .25346 L s P [(6)] .4 .24721 0 2 Mshowa p .002 w .53333 .24721 m .53333 .25346 L s P [(8)] .53333 .24721 0 2 Mshowa p .002 w .66667 .24721 m .66667 .25346 L s P [(10)] .66667 .24721 0 2 Mshowa p .002 w .8 .24721 m .8 .25346 L s P [(12)] .8 .24721 0 2 Mshowa p .002 w .93333 .24721 m .93333 .25346 L s P [(14)] .93333 .24721 0 2 Mshowa p .001 w .02667 .24721 m .02667 .25096 L s P p .001 w .05333 .24721 m .05333 .25096 L s P p .001 w .08 .24721 m .08 .25096 L s P p .001 w .10667 .24721 m .10667 .25096 L s P p .001 w .16 .24721 m .16 .25096 L s P p .001 w .18667 .24721 m .18667 .25096 L s P p .001 w .21333 .24721 m .21333 .25096 L s P p .001 w .24 .24721 m .24 .25096 L s P p .001 w .29333 .24721 m .29333 .25096 L s P p .001 w .32 .24721 m .32 .25096 L s P p .001 w .34667 .24721 m .34667 .25096 L s P p .001 w .37333 .24721 m .37333 .25096 L s P p .001 w .42667 .24721 m .42667 .25096 L s P p .001 w .45333 .24721 m .45333 .25096 L s P p .001 w .48 .24721 m .48 .25096 L s P p .001 w .50667 .24721 m .50667 .25096 L s P p .001 w .56 .24721 m .56 .25096 L s P p .001 w .58667 .24721 m .58667 .25096 L s P p .001 w .61333 .24721 m .61333 .25096 L s P p .001 w .64 .24721 m .64 .25096 L s P p .001 w .69333 .24721 m .69333 .25096 L s P p .001 w .72 .24721 m .72 .25096 L s P p .001 w .74667 .24721 m .74667 .25096 L s P p .001 w .77333 .24721 m .77333 .25096 L s P p .001 w .82667 .24721 m .82667 .25096 L s P p .001 w .85333 .24721 m .85333 .25096 L s P p .001 w .88 .24721 m .88 .25096 L s P p .001 w .90667 .24721 m .90667 .25096 L s P p .001 w .96 .24721 m .96 .25096 L s P p .001 w .98667 .24721 m .98667 .25096 L s P p .002 w 0 .24721 m 1 .24721 L s P p .002 w 0 0 m .00625 0 L s P [(-1)] -0.0125 0 1 0 Mshowa p .002 w 0 .12361 m .00625 .12361 L s P [(-0.5)] -0.0125 .12361 1 0 Mshowa p .002 w 0 .24721 m .00625 .24721 L s P [(0)] -0.0125 .24721 1 0 Mshowa p .002 w 0 .37082 m .00625 .37082 L s P [(0.5)] -0.0125 .37082 1 0 Mshowa p .002 w 0 .49443 m .00625 .49443 L s P [(1)] -0.0125 .49443 1 0 Mshowa p .002 w 0 .61803 m .00625 .61803 L s P [(1.5)] -0.0125 .61803 1 0 Mshowa p .001 w 0 .02472 m .00375 .02472 L s P p .001 w 0 .04944 m .00375 .04944 L s P p .001 w 0 .07416 m .00375 .07416 L s P p .001 w 0 .09889 m .00375 .09889 L s P p .001 w 0 .14833 m .00375 .14833 L s P p .001 w 0 .17305 m .00375 .17305 L s P p .001 w 0 .19777 m .00375 .19777 L s P p .001 w 0 .22249 m .00375 .22249 L s P p .001 w 0 .27193 m .00375 .27193 L s P p .001 w 0 .29666 m .00375 .29666 L s P p .001 w 0 .32138 m .00375 .32138 L s P p .001 w 0 .3461 m .00375 .3461 L s P p .001 w 0 .39554 m .00375 .39554 L s P p .001 w 0 .42026 m .00375 .42026 L s P p .001 w 0 .44498 m .00375 .44498 L s P p .001 w 0 .46971 m .00375 .46971 L s P p .001 w 0 .51915 m .00375 .51915 L s P p .001 w 0 .54387 m .00375 .54387 L s P p .001 w 0 .56859 m .00375 .56859 L s P p .001 w 0 .59331 m .00375 .59331 L s P p .002 w 0 0 m 0 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .004 w .06667 .37082 m .13333 .35846 L .2 .34981 L .26667 .34375 L .33333 .33951 L .4 .33654 L .46667 .33447 L .53333 .33301 L .6 .33199 L .66667 .33128 L .73333 .33078 L .8 .33043 L .86667 .33019 L .93333 .33002 L 1 .3299 L s % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] For an input that is 10 times larger the response is shown below. :[font = input; dontPreserveAspect; startGroup] PlotResponse[AGCResponse[5,1,.2,15]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 50; pictureWidth = 279; pictureHeight = 172; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 6.93889e-18 0.0666667 0.0882906 0.0882906 [ [(2)] .13333 .08829 0 2 Msboxa [(4)] .26667 .08829 0 2 Msboxa [(6)] .4 .08829 0 2 Msboxa [(8)] .53333 .08829 0 2 Msboxa [(10)] .66667 .08829 0 2 Msboxa [(12)] .8 .08829 0 2 Msboxa [(14)] .93333 .08829 0 2 Msboxa [(-1)] -0.0125 0 1 0 Msboxa [(0)] -0.0125 .08829 1 0 Msboxa [(1)] -0.0125 .17658 1 0 Msboxa [(2)] -0.0125 .26487 1 0 Msboxa [(3)] -0.0125 .35316 1 0 Msboxa [(4)] -0.0125 .44145 1 0 Msboxa [(5)] -0.0125 .52974 1 0 Msboxa [(6)] -0.0125 .61803 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .13333 .08829 m .13333 .09454 L s P [(2)] .13333 .08829 0 2 Mshowa p .002 w .26667 .08829 m .26667 .09454 L s P [(4)] .26667 .08829 0 2 Mshowa p .002 w .4 .08829 m .4 .09454 L s P [(6)] .4 .08829 0 2 Mshowa p .002 w .53333 .08829 m .53333 .09454 L s P [(8)] .53333 .08829 0 2 Mshowa p .002 w .66667 .08829 m .66667 .09454 L s P [(10)] .66667 .08829 0 2 Mshowa p .002 w .8 .08829 m .8 .09454 L s P [(12)] .8 .08829 0 2 Mshowa p .002 w .93333 .08829 m .93333 .09454 L s P [(14)] .93333 .08829 0 2 Mshowa p .001 w .02667 .08829 m .02667 .09204 L s P p .001 w .05333 .08829 m .05333 .09204 L s P p .001 w .08 .08829 m .08 .09204 L s P p .001 w .10667 .08829 m .10667 .09204 L s P p .001 w .16 .08829 m .16 .09204 L s P p .001 w .18667 .08829 m .18667 .09204 L s P p .001 w .21333 .08829 m .21333 .09204 L s P p .001 w .24 .08829 m .24 .09204 L s P p .001 w .29333 .08829 m .29333 .09204 L s P p .001 w .32 .08829 m .32 .09204 L s P p .001 w .34667 .08829 m .34667 .09204 L s P p .001 w .37333 .08829 m .37333 .09204 L s P p .001 w .42667 .08829 m .42667 .09204 L s P p .001 w .45333 .08829 m .45333 .09204 L s P p .001 w .48 .08829 m .48 .09204 L s P p .001 w .50667 .08829 m .50667 .09204 L s P p .001 w .56 .08829 m .56 .09204 L s P p .001 w .58667 .08829 m .58667 .09204 L s P p .001 w .61333 .08829 m .61333 .09204 L s P p .001 w .64 .08829 m .64 .09204 L s P p .001 w .69333 .08829 m .69333 .09204 L s P p .001 w .72 .08829 m .72 .09204 L s P p .001 w .74667 .08829 m .74667 .09204 L s P p .001 w .77333 .08829 m .77333 .09204 L s P p .001 w .82667 .08829 m .82667 .09204 L s P p .001 w .85333 .08829 m .85333 .09204 L s P p .001 w .88 .08829 m .88 .09204 L s P p .001 w .90667 .08829 m .90667 .09204 L s P p .001 w .96 .08829 m .96 .09204 L s P p .001 w .98667 .08829 m .98667 .09204 L s P p .002 w 0 .08829 m 1 .08829 L s P p .002 w 0 0 m .00625 0 L s P [(-1)] -0.0125 0 1 0 Mshowa p .002 w 0 .08829 m .00625 .08829 L s P [(0)] -0.0125 .08829 1 0 Mshowa p .002 w 0 .17658 m .00625 .17658 L s P [(1)] -0.0125 .17658 1 0 Mshowa p .002 w 0 .26487 m .00625 .26487 L s P [(2)] -0.0125 .26487 1 0 Mshowa p .002 w 0 .35316 m .00625 .35316 L s P [(3)] -0.0125 .35316 1 0 Mshowa p .002 w 0 .44145 m .00625 .44145 L s P [(4)] -0.0125 .44145 1 0 Mshowa p .002 w 0 .52974 m .00625 .52974 L s P [(5)] -0.0125 .52974 1 0 Mshowa p .002 w 0 .61803 m .00625 .61803 L s P [(6)] -0.0125 .61803 1 0 Mshowa p .001 w 0 .01766 m .00375 .01766 L s P p .001 w 0 .03532 m .00375 .03532 L s P p .001 w 0 .05297 m .00375 .05297 L s P p .001 w 0 .07063 m .00375 .07063 L s P p .001 w 0 .10595 m .00375 .10595 L s P p .001 w 0 .12361 m .00375 .12361 L s P p .001 w 0 .14126 m .00375 .14126 L s P p .001 w 0 .15892 m .00375 .15892 L s P p .001 w 0 .19424 m .00375 .19424 L s P p .001 w 0 .2119 m .00375 .2119 L s P p .001 w 0 .22956 m .00375 .22956 L s P p .001 w 0 .24721 m .00375 .24721 L s P p .001 w 0 .28253 m .00375 .28253 L s P p .001 w 0 .30019 m .00375 .30019 L s P p .001 w 0 .31785 m .00375 .31785 L s P p .001 w 0 .3355 m .00375 .3355 L s P p .001 w 0 .37082 m .00375 .37082 L s P p .001 w 0 .38848 m .00375 .38848 L s P p .001 w 0 .40614 m .00375 .40614 L s P p .001 w 0 .42379 m .00375 .42379 L s P p .001 w 0 .45911 m .00375 .45911 L s P p .001 w 0 .47677 m .00375 .47677 L s P p .001 w 0 .49443 m .00375 .49443 L s P p .001 w 0 .51209 m .00375 .51209 L s P p .001 w 0 .5474 m .00375 .5474 L s P p .001 w 0 .56506 m .00375 .56506 L s P p .001 w 0 .58272 m .00375 .58272 L s P p .001 w 0 .60038 m .00375 .60038 L s P p .002 w 0 0 m 0 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .004 w .06667 .52974 m .13333 .08829 L .2 .17658 L .26667 .15892 L .33333 .16245 L .4 .16175 L .46667 .16189 L .53333 .16186 L .6 .16187 L .66667 .16187 L .73333 .16187 L .8 .16187 L .86667 .16187 L .93333 .16187 L 1 .16187 L s % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] One problem with this AGC is that it initially overcorrects by reducing the gain too much. For large enough inputs the gain can go negative, leading to highly oscillatory behaviour. :[font = input; dontPreserveAspect; startGroup] PlotResponse[AGCResponse[8,1,.2,15]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 50; pictureWidth = 279; pictureHeight = 172; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 6.93889e-18 0.0666667 0.0618034 0.0618034 [ [(2)] .13333 .0618 0 2 Msboxa [(4)] .26667 .0618 0 2 Msboxa [(6)] .4 .0618 0 2 Msboxa [(8)] .53333 .0618 0 2 Msboxa [(10)] .66667 .0618 0 2 Msboxa [(12)] .8 .0618 0 2 Msboxa [(14)] .93333 .0618 0 2 Msboxa [(0)] -0.0125 .0618 1 0 Msboxa [(2)] -0.0125 .18541 1 0 Msboxa [(4)] -0.0125 .30902 1 0 Msboxa [(6)] -0.0125 .43262 1 0 Msboxa [(8)] -0.0125 .55623 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .13333 .0618 m .13333 .06805 L s P [(2)] .13333 .0618 0 2 Mshowa p .002 w .26667 .0618 m .26667 .06805 L s P [(4)] .26667 .0618 0 2 Mshowa p .002 w .4 .0618 m .4 .06805 L s P [(6)] .4 .0618 0 2 Mshowa p .002 w .53333 .0618 m .53333 .06805 L s P [(8)] .53333 .0618 0 2 Mshowa p .002 w .66667 .0618 m .66667 .06805 L s P [(10)] .66667 .0618 0 2 Mshowa p .002 w .8 .0618 m .8 .06805 L s P [(12)] .8 .0618 0 2 Mshowa p .002 w .93333 .0618 m .93333 .06805 L s P [(14)] .93333 .0618 0 2 Mshowa p .001 w .02667 .0618 m .02667 .06555 L s P p .001 w .05333 .0618 m .05333 .06555 L s P p .001 w .08 .0618 m .08 .06555 L s P p .001 w .10667 .0618 m .10667 .06555 L s P p .001 w .16 .0618 m .16 .06555 L s P p .001 w .18667 .0618 m .18667 .06555 L s P p .001 w .21333 .0618 m .21333 .06555 L s P p .001 w .24 .0618 m .24 .06555 L s P p .001 w .29333 .0618 m .29333 .06555 L s P p .001 w .32 .0618 m .32 .06555 L s P p .001 w .34667 .0618 m .34667 .06555 L s P p .001 w .37333 .0618 m .37333 .06555 L s P p .001 w .42667 .0618 m .42667 .06555 L s P p .001 w .45333 .0618 m .45333 .06555 L s P p .001 w .48 .0618 m .48 .06555 L s P p .001 w .50667 .0618 m .50667 .06555 L s P p .001 w .56 .0618 m .56 .06555 L s P p .001 w .58667 .0618 m .58667 .06555 L s P p .001 w .61333 .0618 m .61333 .06555 L s P p .001 w .64 .0618 m .64 .06555 L s P p .001 w .69333 .0618 m .69333 .06555 L s P p .001 w .72 .0618 m .72 .06555 L s P p .001 w .74667 .0618 m .74667 .06555 L s P p .001 w .77333 .0618 m .77333 .06555 L s P p .001 w .82667 .0618 m .82667 .06555 L s P p .001 w .85333 .0618 m .85333 .06555 L s P p .001 w .88 .0618 m .88 .06555 L s P p .001 w .90667 .0618 m .90667 .06555 L s P p .001 w .96 .0618 m .96 .06555 L s P p .001 w .98667 .0618 m .98667 .06555 L s P p .002 w 0 .0618 m 1 .0618 L s P p .002 w 0 .0618 m .00625 .0618 L s P [(0)] -0.0125 .0618 1 0 Mshowa p .002 w 0 .18541 m .00625 .18541 L s P [(2)] -0.0125 .18541 1 0 Mshowa p .002 w 0 .30902 m .00625 .30902 L s P [(4)] -0.0125 .30902 1 0 Mshowa p .002 w 0 .43262 m .00625 .43262 L s P [(6)] -0.0125 .43262 1 0 Mshowa p .002 w 0 .55623 m .00625 .55623 L s P [(8)] -0.0125 .55623 1 0 Mshowa p .001 w 0 .08652 m .00375 .08652 L s P p .001 w 0 .11125 m .00375 .11125 L s P p .001 w 0 .13597 m .00375 .13597 L s P p .001 w 0 .16069 m .00375 .16069 L s P p .001 w 0 .21013 m .00375 .21013 L s P p .001 w 0 .23485 m .00375 .23485 L s P p .001 w 0 .25957 m .00375 .25957 L s P p .001 w 0 .2843 m .00375 .2843 L s P p .001 w 0 .33374 m .00375 .33374 L s P p .001 w 0 .35846 m .00375 .35846 L s P p .001 w 0 .38318 m .00375 .38318 L s P p .001 w 0 .4079 m .00375 .4079 L s P p .001 w 0 .45735 m .00375 .45735 L s P p .001 w 0 .48207 m .00375 .48207 L s P p .001 w 0 .50679 m .00375 .50679 L s P p .001 w 0 .53151 m .00375 .53151 L s P p .001 w 0 .03708 m .00375 .03708 L s P p .001 w 0 .01236 m .00375 .01236 L s P p .001 w 0 .58095 m .00375 .58095 L s P p .001 w 0 .60567 m .00375 .60567 L s P p .002 w 0 0 m 0 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .004 w .06667 .55623 m 0 0 rlineto .11354 0 m .06667 .55623 L s .15807 0 m .2 .39801 L s .2 .39801 m 0 0 rlineto .25241 0 m .2 .39801 L s .28449 0 m .33333 .29676 L s .33333 .29676 m 0 0 rlineto .39439 0 m .33333 .29676 L s .40701 0 m .46667 .23195 L s .46667 .23195 m .53333 .02457 L .6 .19047 L .66667 .05775 L .73333 .16393 L .8 .07899 L .86667 .14694 L .93333 .09258 L 1 .13607 L s % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] For even larger outputs this AGC is unstable. :[font = input; dontPreserveAspect; startGroup] PlotResponse[AGCResponse[10,1,.2,15]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 50; pictureWidth = 279; pictureHeight = 172; endGroup; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 6.93889e-18 0.0666667 0.00516626 0.00516626 [ [(2)] .13333 .00517 0 2 Msboxa [(4)] .26667 .00517 0 2 Msboxa [(6)] .4 .00517 0 2 Msboxa [(8)] .53333 .00517 0 2 Msboxa [(10)] .66667 .00517 0 2 Msboxa [(12)] .8 .00517 0 2 Msboxa [(14)] .93333 .00517 0 2 Msboxa [(0)] -0.0125 .00517 1 0 Msboxa [(20)] -0.0125 .10849 1 0 Msboxa [(40)] -0.0125 .21182 1 0 Msboxa [(60)] -0.0125 .31514 1 0 Msboxa [(80)] -0.0125 .41847 1 0 Msboxa [(100)] -0.0125 .52179 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .13333 .00517 m .13333 .01142 L s P [(2)] .13333 .00517 0 2 Mshowa p .002 w .26667 .00517 m .26667 .01142 L s P [(4)] .26667 .00517 0 2 Mshowa p .002 w .4 .00517 m .4 .01142 L s P [(6)] .4 .00517 0 2 Mshowa p .002 w .53333 .00517 m .53333 .01142 L s P [(8)] .53333 .00517 0 2 Mshowa p .002 w .66667 .00517 m .66667 .01142 L s P [(10)] .66667 .00517 0 2 Mshowa p .002 w .8 .00517 m .8 .01142 L s P [(12)] .8 .00517 0 2 Mshowa p .002 w .93333 .00517 m .93333 .01142 L s P [(14)] .93333 .00517 0 2 Mshowa p .001 w .02667 .00517 m .02667 .00892 L s P p .001 w .05333 .00517 m .05333 .00892 L s P p .001 w .08 .00517 m .08 .00892 L s P p .001 w .10667 .00517 m .10667 .00892 L s P p .001 w .16 .00517 m .16 .00892 L s P p .001 w .18667 .00517 m .18667 .00892 L s P p .001 w .21333 .00517 m .21333 .00892 L s P p .001 w .24 .00517 m .24 .00892 L s P p .001 w .29333 .00517 m .29333 .00892 L s P p .001 w .32 .00517 m .32 .00892 L s P p .001 w .34667 .00517 m .34667 .00892 L s P p .001 w .37333 .00517 m .37333 .00892 L s P p .001 w .42667 .00517 m .42667 .00892 L s P p .001 w .45333 .00517 m .45333 .00892 L s P p .001 w .48 .00517 m .48 .00892 L s P p .001 w .50667 .00517 m .50667 .00892 L s P p .001 w .56 .00517 m .56 .00892 L s P p .001 w .58667 .00517 m .58667 .00892 L s P p .001 w .61333 .00517 m .61333 .00892 L s P p .001 w .64 .00517 m .64 .00892 L s P p .001 w .69333 .00517 m .69333 .00892 L s P p .001 w .72 .00517 m .72 .00892 L s P p .001 w .74667 .00517 m .74667 .00892 L s P p .001 w .77333 .00517 m .77333 .00892 L s P p .001 w .82667 .00517 m .82667 .00892 L s P p .001 w .85333 .00517 m .85333 .00892 L s P p .001 w .88 .00517 m .88 .00892 L s P p .001 w .90667 .00517 m .90667 .00892 L s P p .001 w .96 .00517 m .96 .00892 L s P p .001 w .98667 .00517 m .98667 .00892 L s P p .002 w 0 .00517 m 1 .00517 L s P p .002 w 0 .00517 m .00625 .00517 L s P [(0)] -0.0125 .00517 1 0 Mshowa p .002 w 0 .10849 m .00625 .10849 L s P [(20)] -0.0125 .10849 1 0 Mshowa p .002 w 0 .21182 m .00625 .21182 L s P [(40)] -0.0125 .21182 1 0 Mshowa p .002 w 0 .31514 m .00625 .31514 L s P [(60)] -0.0125 .31514 1 0 Mshowa p .002 w 0 .41847 m .00625 .41847 L s P [(80)] -0.0125 .41847 1 0 Mshowa p .002 w 0 .52179 m .00625 .52179 L s P [(100)] -0.0125 .52179 1 0 Mshowa p .001 w 0 .02583 m .00375 .02583 L s P p .001 w 0 .0465 m .00375 .0465 L s P p .001 w 0 .06716 m .00375 .06716 L s P p .001 w 0 .08783 m .00375 .08783 L s P p .001 w 0 .12916 m .00375 .12916 L s P p .001 w 0 .14982 m .00375 .14982 L s P p .001 w 0 .17049 m .00375 .17049 L s P p .001 w 0 .19115 m .00375 .19115 L s P p .001 w 0 .23248 m .00375 .23248 L s P p .001 w 0 .25315 m .00375 .25315 L s P p .001 w 0 .27381 m .00375 .27381 L s P p .001 w 0 .29448 m .00375 .29448 L s P p .001 w 0 .33581 m .00375 .33581 L s P p .001 w 0 .35647 m .00375 .35647 L s P p .001 w 0 .37714 m .00375 .37714 L s P p .001 w 0 .3978 m .00375 .3978 L s P p .001 w 0 .43913 m .00375 .43913 L s P p .001 w 0 .4598 m .00375 .4598 L s P p .001 w 0 .48046 m .00375 .48046 L s P p .001 w 0 .50113 m .00375 .50113 L s P p .001 w 0 .54246 m .00375 .54246 L s P p .001 w 0 .56312 m .00375 .56312 L s P p .001 w 0 .58379 m .00375 .58379 L s P p .001 w 0 .60445 m .00375 .60445 L s P p .002 w 0 0 m 0 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .004 w .06667 .05683 m 0 0 rlineto .10333 0 m .06667 .05683 L s .15833 0 m .2 .07749 L s .2 .07749 m 0 0 rlineto .23472 0 m .2 .07749 L s .29329 0 m .33333 .10725 L s .33333 .10725 m 0 0 rlineto .36671 0 m .33333 .10725 L s .42775 0 m .46667 .1501 L s .46667 .1501 m 0 0 rlineto .4991 0 m .46667 .1501 L s .56186 0 m .6 .21181 L s .6 .21181 m 0 0 rlineto .63178 0 m .6 .21181 L s .69574 0 m .73333 .30066 L s .73333 .30066 m 0 0 rlineto .76466 0 m .73333 .30066 L s .82945 0 m .86667 .42862 L s .86667 .42862 m 0 0 rlineto .89768 0 m .86667 .42862 L s .96304 0 m 1 .61287 L s 1 .61287 m 0 0 rlineto % End of Graphics MathPictureEnd :[font = subsection; inactive; dontPreserveAspect; startGroup] 4.2 - AGC Improvements :[font = text; inactive; dontPreserveAspect] We will consider three different approaches to keep the AGC stable. First, if the variable gain is followed by a half wave rectification then this will prevent the state loop and the AGC stages that follow from ever seeing a negative input. This is described by: ;[s] 3:0,0;165,1;170,0;265,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) Hwr[x_] := If [ x < 0, 0, x] (* :[font = input; initialization; dontPreserveAspect] *) AGCResponse1[input_, target_, epsilon_, count_] := Block[{response,state,eps,eps1}, state = 0; eps = epsilon/target; eps1 = 1 - epsilon; response = Table[0,{i,1,count}]; Do [response[[i]] = Hwr[(1-state)*input]; state = response[[i]]*eps + state*eps1, {i,1,count+1}]; response] (* :[font = text; inactive; dontPreserveAspect] Note that this AGC does not blow up like AGCResponse above but its output is not very well behaved. For large enough inputs (and short enough time constants) the output will eventually oscillate between zero and a large number with a value between the input and the target. ;[s] 3:0,0;41,1;52,0;275,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] PlotResponse[AGCResponse1[8,1,.2,20]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 50; pictureWidth = 279; pictureHeight = 172; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations -2.77556e-17 0.05 0.0618034 0.0618034 [ [(2.5)] .125 .0618 0 2 Msboxa [(5)] .25 .0618 0 2 Msboxa [(7.5)] .375 .0618 0 2 Msboxa [(10)] .5 .0618 0 2 Msboxa [(12.5)] .625 .0618 0 2 Msboxa [(15)] .75 .0618 0 2 Msboxa [(17.5)] .875 .0618 0 2 Msboxa [(20)] 1 .0618 0 2 Msboxa [(0)] -0.0125 .0618 1 0 Msboxa [(2)] -0.0125 .18541 1 0 Msboxa [(4)] -0.0125 .30902 1 0 Msboxa [(6)] -0.0125 .43262 1 0 Msboxa [(8)] -0.0125 .55623 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .125 .0618 m .125 .06805 L s P [(2.5)] .125 .0618 0 2 Mshowa p .002 w .25 .0618 m .25 .06805 L s P [(5)] .25 .0618 0 2 Mshowa p .002 w .375 .0618 m .375 .06805 L s P [(7.5)] .375 .0618 0 2 Mshowa p .002 w .5 .0618 m .5 .06805 L s P [(10)] .5 .0618 0 2 Mshowa p .002 w .625 .0618 m .625 .06805 L s P [(12.5)] .625 .0618 0 2 Mshowa p .002 w .75 .0618 m .75 .06805 L s P [(15)] .75 .0618 0 2 Mshowa p .002 w .875 .0618 m .875 .06805 L s P [(17.5)] .875 .0618 0 2 Mshowa p .002 w 1 .0618 m 1 .06805 L s P [(20)] 1 .0618 0 2 Mshowa p .001 w .025 .0618 m .025 .06555 L s P p .001 w .05 .0618 m .05 .06555 L s P p .001 w .075 .0618 m .075 .06555 L s P p .001 w .1 .0618 m .1 .06555 L s P p .001 w .15 .0618 m .15 .06555 L s P p .001 w .175 .0618 m .175 .06555 L s P p .001 w .2 .0618 m .2 .06555 L s P p .001 w .225 .0618 m .225 .06555 L s P p .001 w .275 .0618 m .275 .06555 L s P p .001 w .3 .0618 m .3 .06555 L s P p .001 w .325 .0618 m .325 .06555 L s P p .001 w .35 .0618 m .35 .06555 L s P p .001 w .4 .0618 m .4 .06555 L s P p .001 w .425 .0618 m .425 .06555 L s P p .001 w .45 .0618 m .45 .06555 L s P p .001 w .475 .0618 m .475 .06555 L s P p .001 w .525 .0618 m .525 .06555 L s P p .001 w .55 .0618 m .55 .06555 L s P p .001 w .575 .0618 m .575 .06555 L s P p .001 w .6 .0618 m .6 .06555 L s P p .001 w .65 .0618 m .65 .06555 L s P p .001 w .675 .0618 m .675 .06555 L s P p .001 w .7 .0618 m .7 .06555 L s P p .001 w .725 .0618 m .725 .06555 L s P p .001 w .775 .0618 m .775 .06555 L s P p .001 w .8 .0618 m .8 .06555 L s P p .001 w .825 .0618 m .825 .06555 L s P p .001 w .85 .0618 m .85 .06555 L s P p .001 w .9 .0618 m .9 .06555 L s P p .001 w .925 .0618 m .925 .06555 L s P p .001 w .95 .0618 m .95 .06555 L s P p .001 w .975 .0618 m .975 .06555 L s P p .002 w 0 .0618 m 1 .0618 L s P p .002 w 0 .0618 m .00625 .0618 L s P [(0)] -0.0125 .0618 1 0 Mshowa p .002 w 0 .18541 m .00625 .18541 L s P [(2)] -0.0125 .18541 1 0 Mshowa p .002 w 0 .30902 m .00625 .30902 L s P [(4)] -0.0125 .30902 1 0 Mshowa p .002 w 0 .43262 m .00625 .43262 L s P [(6)] -0.0125 .43262 1 0 Mshowa p .002 w 0 .55623 m .00625 .55623 L s P [(8)] -0.0125 .55623 1 0 Mshowa p .001 w 0 .08652 m .00375 .08652 L s P p .001 w 0 .11125 m .00375 .11125 L s P p .001 w 0 .13597 m .00375 .13597 L s P p .001 w 0 .16069 m .00375 .16069 L s P p .001 w 0 .21013 m .00375 .21013 L s P p .001 w 0 .23485 m .00375 .23485 L s P p .001 w 0 .25957 m .00375 .25957 L s P p .001 w 0 .2843 m .00375 .2843 L s P p .001 w 0 .33374 m .00375 .33374 L s P p .001 w 0 .35846 m .00375 .35846 L s P p .001 w 0 .38318 m .00375 .38318 L s P p .001 w 0 .4079 m .00375 .4079 L s P p .001 w 0 .45735 m .00375 .45735 L s P p .001 w 0 .48207 m .00375 .48207 L s P p .001 w 0 .50679 m .00375 .50679 L s P p .001 w 0 .53151 m .00375 .53151 L s P p .001 w 0 .03708 m .00375 .03708 L s P p .001 w 0 .01236 m .00375 .01236 L s P p .001 w 0 .58095 m .00375 .58095 L s P p .001 w 0 .60567 m .00375 .60567 L s P p .002 w 0 0 m 0 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .004 w .05 .55623 m .1 .0618 L .15 .0618 L .2 .0618 L .25 .1512 L .3 .08917 L .35 .13879 L .4 .0991 L .45 .13085 L .5 .10545 L .55 .12577 L .6 .10951 L .65 .12252 L .7 .11212 L .75 .12044 L .8 .11378 L .85 .11911 L .9 .11485 L .95 .11826 L 1 .11553 L s % End of Graphics MathPictureEnd :[font = input; dontPreserveAspect; startGroup] PlotResponse[AGCResponse1[9,1,.2,20]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 50; pictureWidth = 279; pictureHeight = 172; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations -2.77556e-17 0.05 0.0561849 0.0561849 [ [(2.5)] .125 .05618 0 2 Msboxa [(5)] .25 .05618 0 2 Msboxa [(7.5)] .375 .05618 0 2 Msboxa [(10)] .5 .05618 0 2 Msboxa [(12.5)] .625 .05618 0 2 Msboxa [(15)] .75 .05618 0 2 Msboxa [(17.5)] .875 .05618 0 2 Msboxa [(20)] 1 .05618 0 2 Msboxa [(0)] -0.0125 .05618 1 0 Msboxa [(2)] -0.0125 .16855 1 0 Msboxa [(4)] -0.0125 .28092 1 0 Msboxa [(6)] -0.0125 .39329 1 0 Msboxa [(8)] -0.0125 .50566 1 0 Msboxa [(10)] -0.0125 .61803 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .125 .05618 m .125 .06243 L s P [(2.5)] .125 .05618 0 2 Mshowa p .002 w .25 .05618 m .25 .06243 L s P [(5)] .25 .05618 0 2 Mshowa p .002 w .375 .05618 m .375 .06243 L s P [(7.5)] .375 .05618 0 2 Mshowa p .002 w .5 .05618 m .5 .06243 L s P [(10)] .5 .05618 0 2 Mshowa p .002 w .625 .05618 m .625 .06243 L s P [(12.5)] .625 .05618 0 2 Mshowa p .002 w .75 .05618 m .75 .06243 L s P [(15)] .75 .05618 0 2 Mshowa p .002 w .875 .05618 m .875 .06243 L s P [(17.5)] .875 .05618 0 2 Mshowa p .002 w 1 .05618 m 1 .06243 L s P [(20)] 1 .05618 0 2 Mshowa p .001 w .025 .05618 m .025 .05993 L s P p .001 w .05 .05618 m .05 .05993 L s P p .001 w .075 .05618 m .075 .05993 L s P p .001 w .1 .05618 m .1 .05993 L s P p .001 w .15 .05618 m .15 .05993 L s P p .001 w .175 .05618 m .175 .05993 L s P p .001 w .2 .05618 m .2 .05993 L s P p .001 w .225 .05618 m .225 .05993 L s P p .001 w .275 .05618 m .275 .05993 L s P p .001 w .3 .05618 m .3 .05993 L s P p .001 w .325 .05618 m .325 .05993 L s P p .001 w .35 .05618 m .35 .05993 L s P p .001 w .4 .05618 m .4 .05993 L s P p .001 w .425 .05618 m .425 .05993 L s P p .001 w .45 .05618 m .45 .05993 L s P p .001 w .475 .05618 m .475 .05993 L s P p .001 w .525 .05618 m .525 .05993 L s P p .001 w .55 .05618 m .55 .05993 L s P p .001 w .575 .05618 m .575 .05993 L s P p .001 w .6 .05618 m .6 .05993 L s P p .001 w .65 .05618 m .65 .05993 L s P p .001 w .675 .05618 m .675 .05993 L s P p .001 w .7 .05618 m .7 .05993 L s P p .001 w .725 .05618 m .725 .05993 L s P p .001 w .775 .05618 m .775 .05993 L s P p .001 w .8 .05618 m .8 .05993 L s P p .001 w .825 .05618 m .825 .05993 L s P p .001 w .85 .05618 m .85 .05993 L s P p .001 w .9 .05618 m .9 .05993 L s P p .001 w .925 .05618 m .925 .05993 L s P p .001 w .95 .05618 m .95 .05993 L s P p .001 w .975 .05618 m .975 .05993 L s P p .002 w 0 .05618 m 1 .05618 L s P p .002 w 0 .05618 m .00625 .05618 L s P [(0)] -0.0125 .05618 1 0 Mshowa p .002 w 0 .16855 m .00625 .16855 L s P [(2)] -0.0125 .16855 1 0 Mshowa p .002 w 0 .28092 m .00625 .28092 L s P [(4)] -0.0125 .28092 1 0 Mshowa p .002 w 0 .39329 m .00625 .39329 L s P [(6)] -0.0125 .39329 1 0 Mshowa p .002 w 0 .50566 m .00625 .50566 L s P [(8)] -0.0125 .50566 1 0 Mshowa p .002 w 0 .61803 m .00625 .61803 L s P [(10)] -0.0125 .61803 1 0 Mshowa p .001 w 0 .07866 m .00375 .07866 L s P p .001 w 0 .10113 m .00375 .10113 L s P p .001 w 0 .12361 m .00375 .12361 L s P p .001 w 0 .14608 m .00375 .14608 L s P p .001 w 0 .19103 m .00375 .19103 L s P p .001 w 0 .2135 m .00375 .2135 L s P p .001 w 0 .23598 m .00375 .23598 L s P p .001 w 0 .25845 m .00375 .25845 L s P p .001 w 0 .3034 m .00375 .3034 L s P p .001 w 0 .32587 m .00375 .32587 L s P p .001 w 0 .34835 m .00375 .34835 L s P p .001 w 0 .37082 m .00375 .37082 L s P p .001 w 0 .41577 m .00375 .41577 L s P p .001 w 0 .43824 m .00375 .43824 L s P p .001 w 0 .46072 m .00375 .46072 L s P p .001 w 0 .48319 m .00375 .48319 L s P p .001 w 0 .52814 m .00375 .52814 L s P p .001 w 0 .55061 m .00375 .55061 L s P p .001 w 0 .57309 m .00375 .57309 L s P p .001 w 0 .59556 m .00375 .59556 L s P p .001 w 0 .03371 m .00375 .03371 L s P p .001 w 0 .01124 m .00375 .01124 L s P p .002 w 0 0 m 0 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .004 w .05 .56185 m .1 .05618 L .15 .05618 L .2 .05618 L .25 .09583 L .3 .11767 L .35 .09583 L .4 .11767 L .45 .09583 L .5 .11767 L .55 .09583 L .6 .11767 L .65 .09583 L .7 .11767 L .75 .09583 L .8 .11767 L .85 .09583 L .9 .11767 L .95 .09583 L 1 .11767 L s % End of Graphics MathPictureEnd :[font = input; dontPreserveAspect; startGroup] PlotResponse[AGCResponse1[10,1,.2,20]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 50; pictureWidth = 279; pictureHeight = 172; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations -2.77556e-17 0.05 0.0515028 0.0515028 [ [(2.5)] .125 .0515 0 2 Msboxa [(5)] .25 .0515 0 2 Msboxa [(7.5)] .375 .0515 0 2 Msboxa [(10)] .5 .0515 0 2 Msboxa [(12.5)] .625 .0515 0 2 Msboxa [(15)] .75 .0515 0 2 Msboxa [(17.5)] .875 .0515 0 2 Msboxa [(20)] 1 .0515 0 2 Msboxa [(0)] -0.0125 .0515 1 0 Msboxa [(2)] -0.0125 .15451 1 0 Msboxa [(4)] -0.0125 .25751 1 0 Msboxa [(6)] -0.0125 .36052 1 0 Msboxa [(8)] -0.0125 .46353 1 0 Msboxa [(10)] -0.0125 .56653 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .125 .0515 m .125 .05775 L s P [(2.5)] .125 .0515 0 2 Mshowa p .002 w .25 .0515 m .25 .05775 L s P [(5)] .25 .0515 0 2 Mshowa p .002 w .375 .0515 m .375 .05775 L s P [(7.5)] .375 .0515 0 2 Mshowa p .002 w .5 .0515 m .5 .05775 L s P [(10)] .5 .0515 0 2 Mshowa p .002 w .625 .0515 m .625 .05775 L s P [(12.5)] .625 .0515 0 2 Mshowa p .002 w .75 .0515 m .75 .05775 L s P [(15)] .75 .0515 0 2 Mshowa p .002 w .875 .0515 m .875 .05775 L s P [(17.5)] .875 .0515 0 2 Mshowa p .002 w 1 .0515 m 1 .05775 L s P [(20)] 1 .0515 0 2 Mshowa p .001 w .025 .0515 m .025 .05525 L s P p .001 w .05 .0515 m .05 .05525 L s P p .001 w .075 .0515 m .075 .05525 L s P p .001 w .1 .0515 m .1 .05525 L s P p .001 w .15 .0515 m .15 .05525 L s P p .001 w .175 .0515 m .175 .05525 L s P p .001 w .2 .0515 m .2 .05525 L s P p .001 w .225 .0515 m .225 .05525 L s P p .001 w .275 .0515 m .275 .05525 L s P p .001 w .3 .0515 m .3 .05525 L s P p .001 w .325 .0515 m .325 .05525 L s P p .001 w .35 .0515 m .35 .05525 L s P p .001 w .4 .0515 m .4 .05525 L s P p .001 w .425 .0515 m .425 .05525 L s P p .001 w .45 .0515 m .45 .05525 L s P p .001 w .475 .0515 m .475 .05525 L s P p .001 w .525 .0515 m .525 .05525 L s P p .001 w .55 .0515 m .55 .05525 L s P p .001 w .575 .0515 m .575 .05525 L s P p .001 w .6 .0515 m .6 .05525 L s P p .001 w .65 .0515 m .65 .05525 L s P p .001 w .675 .0515 m .675 .05525 L s P p .001 w .7 .0515 m .7 .05525 L s P p .001 w .725 .0515 m .725 .05525 L s P p .001 w .775 .0515 m .775 .05525 L s P p .001 w .8 .0515 m .8 .05525 L s P p .001 w .825 .0515 m .825 .05525 L s P p .001 w .85 .0515 m .85 .05525 L s P p .001 w .9 .0515 m .9 .05525 L s P p .001 w .925 .0515 m .925 .05525 L s P p .001 w .95 .0515 m .95 .05525 L s P p .001 w .975 .0515 m .975 .05525 L s P p .002 w 0 .0515 m 1 .0515 L s P p .002 w 0 .0515 m .00625 .0515 L s P [(0)] -0.0125 .0515 1 0 Mshowa p .002 w 0 .15451 m .00625 .15451 L s P [(2)] -0.0125 .15451 1 0 Mshowa p .002 w 0 .25751 m .00625 .25751 L s P [(4)] -0.0125 .25751 1 0 Mshowa p .002 w 0 .36052 m .00625 .36052 L s P [(6)] -0.0125 .36052 1 0 Mshowa p .002 w 0 .46353 m .00625 .46353 L s P [(8)] -0.0125 .46353 1 0 Mshowa p .002 w 0 .56653 m .00625 .56653 L s P [(10)] -0.0125 .56653 1 0 Mshowa p .001 w 0 .0721 m .00375 .0721 L s P p .001 w 0 .09271 m .00375 .09271 L s P p .001 w 0 .11331 m .00375 .11331 L s P p .001 w 0 .13391 m .00375 .13391 L s P p .001 w 0 .17511 m .00375 .17511 L s P p .001 w 0 .19571 m .00375 .19571 L s P p .001 w 0 .21631 m .00375 .21631 L s P p .001 w 0 .23691 m .00375 .23691 L s P p .001 w 0 .27812 m .00375 .27812 L s P p .001 w 0 .29872 m .00375 .29872 L s P p .001 w 0 .31932 m .00375 .31932 L s P p .001 w 0 .33992 m .00375 .33992 L s P p .001 w 0 .38112 m .00375 .38112 L s P p .001 w 0 .40172 m .00375 .40172 L s P p .001 w 0 .42232 m .00375 .42232 L s P p .001 w 0 .44292 m .00375 .44292 L s P p .001 w 0 .48413 m .00375 .48413 L s P p .001 w 0 .50473 m .00375 .50473 L s P p .001 w 0 .52533 m .00375 .52533 L s P p .001 w 0 .54593 m .00375 .54593 L s P p .001 w 0 .0309 m .00375 .0309 L s P p .001 w 0 .0103 m .00375 .0103 L s P p .001 w 0 .58713 m .00375 .58713 L s P p .001 w 0 .60773 m .00375 .60773 L s P p .002 w 0 0 m 0 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .004 w .05 .56653 m .1 .0515 L .15 .0515 L .2 .0515 L .25 .0515 L .3 .14462 L .35 .0515 L .4 .14752 L .45 .0515 L .5 .14474 L .55 .0515 L .6 .14741 L .65 .0515 L .7 .14484 L .75 .0515 L .8 .14731 L .85 .0515 L .9 .14494 L .95 .0515 L 1 .14721 L s % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] A second approach is to limit the value of the state variable to be less than one. This keeps the gain from ever going negative. ;[s] 3:0,0;47,1;52,0;130,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) LimitValue[x_,value_] := If [ x < value, x, value] (* :[font = input; initialization; dontPreserveAspect] *) AGCResponse2[input_, target_, epsilon_, count_] := Block[{response,state,eps,eps1}, state = 0; eps = epsilon/target; eps1 = 1 - epsilon; response = Table[0,{i,1,count}]; Do [response[[i]] = (1-state)*input; state = LimitValue[response[[i]]*eps + state*eps1, 1.0], {i,1,count+1}]; response] (* :[font = text; inactive; dontPreserveAspect] Again the response does not blow up, but it is still oscillatory. :[font = input; dontPreserveAspect; startGroup] PlotResponse[AGCResponse2[10,1,.2,20]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 50; pictureWidth = 279; pictureHeight = 172; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations -2.77556e-17 0.05 0.0515028 0.0515028 [ [(2.5)] .125 .0515 0 2 Msboxa [(5)] .25 .0515 0 2 Msboxa [(7.5)] .375 .0515 0 2 Msboxa [(10)] .5 .0515 0 2 Msboxa [(12.5)] .625 .0515 0 2 Msboxa [(15)] .75 .0515 0 2 Msboxa [(17.5)] .875 .0515 0 2 Msboxa [(20)] 1 .0515 0 2 Msboxa [(0)] -0.0125 .0515 1 0 Msboxa [(2)] -0.0125 .15451 1 0 Msboxa [(4)] -0.0125 .25751 1 0 Msboxa [(6)] -0.0125 .36052 1 0 Msboxa [(8)] -0.0125 .46353 1 0 Msboxa [(10)] -0.0125 .56653 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .125 .0515 m .125 .05775 L s P [(2.5)] .125 .0515 0 2 Mshowa p .002 w .25 .0515 m .25 .05775 L s P [(5)] .25 .0515 0 2 Mshowa p .002 w .375 .0515 m .375 .05775 L s P [(7.5)] .375 .0515 0 2 Mshowa p .002 w .5 .0515 m .5 .05775 L s P [(10)] .5 .0515 0 2 Mshowa p .002 w .625 .0515 m .625 .05775 L s P [(12.5)] .625 .0515 0 2 Mshowa p .002 w .75 .0515 m .75 .05775 L s P [(15)] .75 .0515 0 2 Mshowa p .002 w .875 .0515 m .875 .05775 L s P [(17.5)] .875 .0515 0 2 Mshowa p .002 w 1 .0515 m 1 .05775 L s P [(20)] 1 .0515 0 2 Mshowa p .001 w .025 .0515 m .025 .05525 L s P p .001 w .05 .0515 m .05 .05525 L s P p .001 w .075 .0515 m .075 .05525 L s P p .001 w .1 .0515 m .1 .05525 L s P p .001 w .15 .0515 m .15 .05525 L s P p .001 w .175 .0515 m .175 .05525 L s P p .001 w .2 .0515 m .2 .05525 L s P p .001 w .225 .0515 m .225 .05525 L s P p .001 w .275 .0515 m .275 .05525 L s P p .001 w .3 .0515 m .3 .05525 L s P p .001 w .325 .0515 m .325 .05525 L s P p .001 w .35 .0515 m .35 .05525 L s P p .001 w .4 .0515 m .4 .05525 L s P p .001 w .425 .0515 m .425 .05525 L s P p .001 w .45 .0515 m .45 .05525 L s P p .001 w .475 .0515 m .475 .05525 L s P p .001 w .525 .0515 m .525 .05525 L s P p .001 w .55 .0515 m .55 .05525 L s P p .001 w .575 .0515 m .575 .05525 L s P p .001 w .6 .0515 m .6 .05525 L s P p .001 w .65 .0515 m .65 .05525 L s P p .001 w .675 .0515 m .675 .05525 L s P p .001 w .7 .0515 m .7 .05525 L s P p .001 w .725 .0515 m .725 .05525 L s P p .001 w .775 .0515 m .775 .05525 L s P p .001 w .8 .0515 m .8 .05525 L s P p .001 w .825 .0515 m .825 .05525 L s P p .001 w .85 .0515 m .85 .05525 L s P p .001 w .9 .0515 m .9 .05525 L s P p .001 w .925 .0515 m .925 .05525 L s P p .001 w .95 .0515 m .95 .05525 L s P p .001 w .975 .0515 m .975 .05525 L s P p .002 w 0 .0515 m 1 .0515 L s P p .002 w 0 .0515 m .00625 .0515 L s P [(0)] -0.0125 .0515 1 0 Mshowa p .002 w 0 .15451 m .00625 .15451 L s P [(2)] -0.0125 .15451 1 0 Mshowa p .002 w 0 .25751 m .00625 .25751 L s P [(4)] -0.0125 .25751 1 0 Mshowa p .002 w 0 .36052 m .00625 .36052 L s P [(6)] -0.0125 .36052 1 0 Mshowa p .002 w 0 .46353 m .00625 .46353 L s P [(8)] -0.0125 .46353 1 0 Mshowa p .002 w 0 .56653 m .00625 .56653 L s P [(10)] -0.0125 .56653 1 0 Mshowa p .001 w 0 .0721 m .00375 .0721 L s P p .001 w 0 .09271 m .00375 .09271 L s P p .001 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L .2 .0515 L .25 .15451 L .3 .0515 L .35 .15451 L .4 .0515 L .45 .15451 L .5 .0515 L .55 .15451 L .6 .0515 L .65 .15451 L .7 .0515 L .75 .15451 L .8 .0515 L .85 .15451 L .9 .0515 L .95 .15451 L 1 .0515 L s % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Finally, a third approach is to use a soft limiter so that the gain approaches but never quite reaches zero. In this case we have replaced the state variable in the gain equation with state/(1+state). This function slowly approaches one as the state variable gets large and thus prevents the AGC from shutting off completely. ;[s] 7:0,0;145,1;150,0;186,1;201,0;246,1;251,0;328,-1; 2:4,17,12,Geneva,0,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) AGCResponse3[input_, target_, epsilon_, count_] := Block[{response,state,eps,eps1}, state = 0; eps = epsilon/target; eps1 = 1 - epsilon; response = Table[0,{i,1,count}]; Do [response[[i]] = (1-state/(1+state))*input; state = response[[i]]*eps + state*eps1, {i,1,count+1}]; response] (* :[font = text; inactive; dontPreserveAspect] The response to this AGC is now more desireable, even for very large inputs, though the output is no longer kept below target for large inputs. :[font = input; dontPreserveAspect; startGroup] PlotResponse[AGCResponse3[400,1,.2,20]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 50; pictureWidth = 279; pictureHeight = 171; endGroup; endGroup; endGroup] %! 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While we hope this model accurately dscribes the total mechanical effects of the cochlea it makes no attempt to accurately model each individual component. However, we do not think this distinction is important when building speech recognizers. Seperate models of the hair cells and the neurons will be published later. :[font = text; inactive; dontPreserveAspect; endGroup] I wish to acknowledge the help of Richard Lyon, Steve Milne, Robert Hon (all at Apple) and Steve Skienna (now at the State University of New York, Stony Brook) for their help with this notebook. This model was first defined and implemented while Richard Lyon was a member of the Schlumberger Palo Alto Research Laboratory. :[font = section; inactive; Cclosed; dontPreserveAspect; startGroup] 6 - Usage :[font = input; initialization; dontPreserveAspect] *) EarBandwidth::usage = "EarBandwidth[cf] returns the center frequency of the filter stage centered at the cf."; (* :[font = input; initialization; dontPreserveAspect] *) OriginalZeroCF::usage = "OriginalZeroCF[cf] returns the center frequency of the notch (zero) in the original cascade-parallel cochlear model as a function of center frequency."; (* :[font = input; initialization; dontPreserveAspect] *) OriginalZeroQ::usage = "OriginalZeroQ[cf] returns the quality factor (q) of the notch (zero) in the original cascade-parallel cochlear model as a function of center frequency."; (* :[font = input; initialization; dontPreserveAspect] *) OriginalPoleCF::usage = "OriginalPoleCF[cf] returns the center frequency of the resonance (pole) in the original cascade-parallel cochlear model as a function of center frequency."; (* :[font = input; initialization; dontPreserveAspect] *) OriginalPoleQ::usage = "OriginalPoleQ[cf] returns the quality factor (q) of the resonance (pole) in the original cascade-parallel cochlear model as a function of center frequency."; (* :[font = input; initialization; dontPreserveAspect] *) OriginalEarChannelCF::usage = "OriginalEarChannelCF[ index] returns the center frequency of the cascade stage with the given index."; (* :[font = input; initialization; dontPreserveAspect] *) OriginalNotch::usage = "OriginalNotch[index] returns the s-domain notch filter for the stage with the given index."; (* :[font = input; initialization; dontPreserveAspect] *) OriginalResonator::usage = "OriginalResonator[index] returns the s-domain resonator filter for the stage with the given index."; (* :[font = input; initialization; dontPreserveAspect] *) CascadeZeroCF::usage = "CascadeZeroCF[cf] returns the center frequency of the notch (zero) in the cascade- only cochlear model as a function of center frequency."; (* :[font = input; initialization; dontPreserveAspect] *) CascadeZeroQ::usage = "CascadeZeroQ[cf] returns the quality factor (q) of the notch (zero) in the cascade-only cochlear model as a function of center frequency."; (* :[font = input; initialization; dontPreserveAspect] *) CascadePoleCF::usage = "CascadePoleCF[cf] returns the center frequency of the resonance (pole) in the cascade-only cochlear model as a function of center frequency."; (* :[font = input; initialization; dontPreserveAspect] *) CascadePoleQ::usage = "CascadePoleQ[cf] returns the quality factor (q) of the resonance (pole) in the cascade-only cochlear model as a function of center frequency."; (* :[font = input; initialization; dontPreserveAspect] *) MaximumEarCF::usage = "MaximumEarCF[fs] returns the maximum ear channel center frequency as a function of sampling interval (fs)."; (* :[font = input; initialization; dontPreserveAspect] *) EarChannelCF::usage = "EarChannelCF[index,fs] returns the center frequency of the stage with the given index for a cochlear model implemented with a sampling frequency of fs."; (* :[font = input; initialization; dontPreserveAspect] *) OuterMiddleEarFilter::usage = "OuterMiddleEarFilter[ fs] = returns the z-domain filter that implements a filter modelling the outer and middle ears at a sampling rate of fs."; (* :[font = input; initialization; dontPreserveAspect] *) Compensator::usage = "Compensator[fs] returns a z-domain filter that combines the differentiator common to all stages with a high frequency zero to compensate for the close spacing of the poles at high frequencies. Fs is the sampling interval of the filter."; (* :[font = input; initialization; dontPreserveAspect] *) EarFrontFilter::usage = "EarFrontFilter[fs] returns a z-domain filter that combines the effects of the outer and middle ears, the compensator and the common derivative at a sampling interval of fs."; (* :[font = input; initialization; dontPreserveAspect] *) EarStageFilter::usage = "EarStageFilter[cf,fs,dcgain] returns a z-domain filter that implements a cascade-only filter bank stage with center frequency (cf), sampling interval (fs) and a DC gain of dcgain."; (* :[font = input; initialization; dontPreserveAspect] *) EarFilterGain::usage = "EarFilterGain[i,fs] returns the necessary gain in the i'th stage to compensate for the common differentiator. The sampling interval is fs."; (* :[font = input; initialization; dontPreserveAspect] *) EarFilter::usage = "EarFilter[i,fs] returns the z-domain filter to implement the i'th stage of the cascade-only cochlear model. This function combines the result of the EarFrontFilter and EarStageFilter."; (* :[font = input; initialization; dontPreserveAspect] *) CascadeFilter::usage = "CascadeFilter[index,fs] returns the product of all the EarFilter filters up to the given index."; (* :[font = input; initialization; dontPreserveAspect] *) State::usage = "Stage[i,y,epsilon,target] implements one step in the default AGC loop filter. I is the input, y is the current output, (1-epsilon)/3 is the loop gain and target is the target value. The output of this function is the value of the state variable at the next time."; (* :[font = input; initialization; dontPreserveAspect] *) AGCResponse::usage = "AGCResponse[input,target,epsilon, count] generates count values ofthe step response (with height input) for an AGC filter with the given target and epsilon."; (* :[font = input; initialization; dontPreserveAspect] *) AGCResponse1::usage = "AGCResponse[input,target,epsilon, count] generates count values ofthe step response (with height input) for an AGC filter with the given target and epsilon. This version of the model differs from the standard model by half wave rectifying the output of the variable gain."; (* :[font = input; initialization; dontPreserveAspect] *) AGCResponse2::usage = "AGCResponse[input,target,epsilon, count] generates count values ofthe step response (with height input) for an AGC filter with the given target and epsilon. This version of the model differs from the standard model by limiting the value of the state variable to 1."; (* :[font = input; initialization; dontPreserveAspect; endGroup] *) AGCResponse3::usage = "AGCResponse[input,target,epsilon, count] generates count values ofthe step response (with height input) for an AGC filter with the given target and epsilon. This version of the model differs from the standard model by soft limiting the variable gain to 1."; (* :[font = section; inactive; pageBreak; dontPreserveAspect; startGroup] 7 - References :[font = text; inactive; dontPreserveAspect] Lyon82 - R. F. Lyon, "A computational model of filtering, detection and compression in the cochlea," in Proc. of the IEEE Int. Conf. Acoust., Speech, Signal Processing, Paris, France, May 1982. ;[s] 3:0,0;104,1;167,0;194,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect] Lyon85 - R. F. Lyon and N. Lauritzen, "Processing speech with the multi-serial signal processor," in Proc. of the IEEE Int. Conf. Acoust., Speech, Signal Processing, Tampa, FL, Mar. 1985. ;[s] 3:0,0;101,1;164,0;188,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect] Lyon88a - R. F. Lyon and C. Mead, "An analog electronic cochlea," in IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-36, pp. 1119-1134, July 1988. ;[s] 3:0,0;69,1;129,0;167,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect] Lyon88b - R. F. Lyon and C. Mead, "Cochlear Hydrodynamics Demystified," California Institute of Technology, Computer Science Department Technical Report, 1988. :[font = text; inactive; dontPreserveAspect] Oppenheim75 - Alan V. Oppenheim and Ronald W. Schafer, Digital Signal Processing, Prentice Hall, Englewood Cliffs, NJ, 1975. ;[s] 3:0,0;55,1;82,0;125,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect] Pickels82 - J. O. Pickels, An Introduction to the Physiology of Hearing, Academic Press, London, 1982. ;[s] 3:0,0;27,1;71,0;104,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect] Schroeder73 - M. R. Schroeder, "An integrable model for the basilar membrane," JASA 53, pp. 429-434, 1973. :[font = text; inactive; dontPreserveAspect] Wolfram88 - Stephen Wolfram, Mathematicaª: A System for doing Mathematics by Computer, Addison Wesley, Redwood City, CA, 1988. ;[s] 5:0,0;29,1;40,0;43,1;88,0;128,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,2,12,0,0,0; :[font = text; inactive; dontPreserveAspect; endGroup] Zweig76 - G. Zweig, R. Lipes and J. R. Pierce, "The cochlear compromise," JASA 59, pp. 975-982, 1976. :[font = section; inactive; pageBreak; dontPreserveAspect; startGroup] Appendix - Filter Design ;[s] 1:0,0;26,-1; 1:1,19,14,Chicago,1,14,0,0,0; :[font = text; inactive; dontPreserveAspect] This appendix defines several Mathematica functions for signal processing applications. Mostly we concentrate on first and second order filters since the cochlear model is defined this way. In the first section we will describe continuous time filters and then we will describe the discrete time versions of these filters. In general the functions provided in the continuous case and in the discrete case are similar. To avoid confusion we use the word "Continuous" in the names of the continuous domain filters. ;[s] 3:0,0;30,1;41,0;518,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = subsection; inactive; dontPreserveAspect; startGroup] A.1 - Continuous Time Filter Design :[font = subsubsection; inactive; dontPreserveAspect; startGroup] A.1.1 - Roots of the filters :[font = text; inactive; dontPreserveAspect] Continuous time filters are described by giving the filter's response as a function of complex frequency s. The following functions are used to evaluate the complex response of a filter for a real frequency (in cycles per second), its magnitude, phase and the response in decibels. A filter's response function is evaluated along the imaginary axis by making the substitution s->I 2 Pi f (or j 2 Pi f in conventional EE notation.) In the expressions that immediately follow filter can be an arbitrary function of the complex frequency s. ;[s] 9:0,0;105,1;106,0;378,1;390,0;395,1;403,0;478,1;484,0;542,-1; 2:5,17,12,Geneva,0,12,0,0,0;4,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) ContinuousFilterEval[filter_, f_] := filter /. s->f; (* :[font = input; initialization; dontPreserveAspect] *) ContinuousFilterGain[filter_,f_] := ContinuousFilterEval[filter,I 2 Pi f]; (* :[font = input; initialization; dontPreserveAspect] *) ContinuousFilterMag[filter_,f_] := Abs[ContinuousFilterGain[filter,f]] (* :[font = input; initialization; dontPreserveAspect] *) ContinuousFilterPhase[filter_,f_] := Arg[ContinuousFilterGain[filter,f]] (* :[font = input; initialization; dontPreserveAspect] *) dB[x_] := 20 Log[10,x] (* :[font = input; initialization; dontPreserveAspect] *) ContinuousFilterDb[filter_,f_] := dB[ContinuousFilterMag[filter,f]] (* :[font = text; inactive; dontPreserveAspect] Finally, we use the following function to display the frequency response of a continuous filter. (We start the plot at 1Hz to avoid any problems with filters that have a zero at DC.) :[font = input; initialization; dontPreserveAspect] *) ContinuousFreqResponse[filter_, maxf_] := Block[{response}, response = N[ContinuousFilterDb[filter,f]]; Plot[response,{f,1,maxf}, AxesLabel->{" Hz", "dB"}, PlotLabel->"Response"]]; (* :[font = text; inactive; dontPreserveAspect] The ContinuousAdjustGain function is used to modify a filter so that it has unity gain at any desired frequency. ;[s] 3:0,0;4,1;24,0;113,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) ContinuousAdjustGain[filter_,f_] := filter/ContinuousFilterGain[filter,f] (* :[font = text; inactive; dontPreserveAspect] A second order filter is described by its resonant frequency (f) and its quality factor (q). The 3dB bandwidth of the resulting filter is approximately equal to f/q. The following function computes the roots of a second order polynomial with a given center frequency (f in cycles per second) and bandwidth (q). These roots will be used later in the numerator of a filter function to make a notch in the frequency response or in the denominator to make a peak. ;[s] 11:0,0;62,1;63,0;89,1;90,0;162,1;165,0;270,1;271,0;309,1;310,0;463,-1; 2:6,17,12,Geneva,0,12,0,0,0;5,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) ContinuousSecondOrderRoot[f_,q_] := -2 Pi f/q/2 + I 2 Pi f Sqrt[1-1/(2q)^2] (* :[font = text; inactive; dontPreserveAspect] For any given frequency these roots trace out a circle in the s-plane. For very large q the roots are close to the imaginary axis. Thus as the frequency response is measured along the imaginary axis the roots closest to the imaginary axis (high q) will have a sharper response than those that are farther away (low q). ;[s] 9:0,0;62,1;63,0;87,1;88,0;247,1;248,0;317,1;318,0;321,-1; 2:5,17,12,Geneva,0,12,0,0,0;4,17,12,Geneva,1,12,0,0,0; :[font = text; inactive; dontPreserveAspect] The plot below shows the location of one of the two roots of a second order filter with a constant resonant frequency. Those roots that are closest to the imaginary axis have a high q (2.2 in this case) while those on the left near the real axis have a low q (.501) and thus a broad response in the frequency domain. :[font = text; inactive; dontPreserveAspect] The radius of this circle is 2 Pi times the resonant frequency (1000Hz). As the resonance frequency is increased this plot will trace out a circle with a larger radius. In all cases a filter with real coefficients will have a second set of roots that are complex conjugates of the ones shown below. Also for the filter to be stable all of the roots must be in the left half of the complex plane. :[font = input; closed; dontPreserveAspect; startGroup] ListPlot[Map[{Re[#],Im[#]}&, Table[ContinuousSecondOrderRoot[1000,q], {q,.501,2.2,.1}]], PlotRange->{{-6500,0},{0,6500}}, AspectRatio->1, PlotLabel->"Location of Roots vs. Q (Complex S-Plane)"]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 279; endGroup] %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 1 0.000153846 0 0.000153846 [ [(-6000)] .07692 0 0 2 Msboxa [(-5000)] .23077 0 0 2 Msboxa [(-4000)] .38462 0 0 2 Msboxa [(-3000)] .53846 0 0 2 Msboxa [(-2000)] .69231 0 0 2 Msboxa [(-1000)] .84615 0 0 2 Msboxa [(0)] 1 0 0 2 Msboxa [(Location of Roots vs. Q \(Complex S-Plane\))] .5 1 0 -2 Msboxa [(1000)] .9875 .15385 1 0 Msboxa [(2000)] .9875 .30769 1 0 Msboxa [(3000)] .9875 .46154 1 0 Msboxa [(4000)] .9875 .61538 1 0 Msboxa [(5000)] .9875 .76923 1 0 Msboxa [(6000)] .9875 .92308 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.00725 1.001 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .07692 0 m .07692 .00625 L s P [(-6000)] .07692 0 0 2 Mshowa p .002 w .23077 0 m .23077 .00625 L s P [(-5000)] .23077 0 0 2 Mshowa p .002 w .38462 0 m .38462 .00625 L s P [(-4000)] .38462 0 0 2 Mshowa p .002 w .53846 0 m .53846 .00625 L s P [(-3000)] .53846 0 0 2 Mshowa p .002 w .69231 0 m .69231 .00625 L s P [(-2000)] .69231 0 0 2 Mshowa p .002 w .84615 0 m .84615 .00625 L s P [(-1000)] .84615 0 0 2 Mshowa p .002 w 1 0 m 1 .00625 L s P [(0)] 1 0 0 2 Mshowa p .001 w .10769 0 m .10769 .00375 L s P p .001 w .13846 0 m .13846 .00375 L s P p .001 w .16923 0 m .16923 .00375 L s P p .001 w .2 0 m .2 .00375 L s P p .001 w .26154 0 m .26154 .00375 L s P p .001 w .29231 0 m .29231 .00375 L s P p .001 w .32308 0 m .32308 .00375 L s P p .001 w .35385 0 m .35385 .00375 L s P p .001 w .41538 0 m .41538 .00375 L s P p .001 w .44615 0 m .44615 .00375 L s P p .001 w .47692 0 m .47692 .00375 L s P p .001 w .50769 0 m .50769 .00375 L s P p .001 w .56923 0 m .56923 .00375 L s P p .001 w .6 0 m .6 .00375 L s P p .001 w .63077 0 m .63077 .00375 L s P p .001 w .66154 0 m .66154 .00375 L s P p .001 w .72308 0 m .72308 .00375 L s P p .001 w .75385 0 m .75385 .00375 L s P p .001 w .78462 0 m .78462 .00375 L s P p .001 w .81538 0 m .81538 .00375 L s P p .001 w .87692 0 m .87692 .00375 L s P p .001 w .90769 0 m .90769 .00375 L s P p .001 w .93846 0 m .93846 .00375 L s P p .001 w .96923 0 m .96923 .00375 L s P p .001 w .04615 0 m .04615 .00375 L s P p .001 w .01538 0 m .01538 .00375 L s P p .002 w 0 0 m 1 0 L s P [(Location of Roots vs. Q \(Complex S-Plane\))] .5 1 0 -2 Mshowa p .002 w 1 .15385 m 1.00625 .15385 L s P [(1000)] .9875 .15385 1 0 Mshowa p .002 w 1 .30769 m 1.00625 .30769 L s P [(2000)] .9875 .30769 1 0 Mshowa p .002 w 1 .46154 m 1.00625 .46154 L s P [(3000)] .9875 .46154 1 0 Mshowa p .002 w 1 .61538 m 1.00625 .61538 L s P [(4000)] .9875 .61538 1 0 Mshowa p .002 w 1 .76923 m 1.00625 .76923 L s P [(5000)] .9875 .76923 1 0 Mshowa p .002 w 1 .92308 m 1.00625 .92308 L s P [(6000)] .9875 .92308 1 0 Mshowa p .001 w 1 .03077 m 1.00375 .03077 L s P p .001 w 1 .06154 m 1.00375 .06154 L s P p .001 w 1 .09231 m 1.00375 .09231 L s P p .001 w 1 .12308 m 1.00375 .12308 L s P p .001 w 1 .18462 m 1.00375 .18462 L s P p .001 w 1 .21538 m 1.00375 .21538 L s P p .001 w 1 .24615 m 1.00375 .24615 L s P p .001 w 1 .27692 m 1.00375 .27692 L s P p .001 w 1 .33846 m 1.00375 .33846 L s P p .001 w 1 .36923 m 1.00375 .36923 L s P p .001 w 1 .4 m 1.00375 .4 L s P p .001 w 1 .43077 m 1.00375 .43077 L s P p .001 w 1 .49231 m 1.00375 .49231 L s P p .001 w 1 .52308 m 1.00375 .52308 L s P p .001 w 1 .55385 m 1.00375 .55385 L s P p .001 w 1 .58462 m 1.00375 .58462 L s P p .001 w 1 .64615 m 1.00375 .64615 L s P p .001 w 1 .67692 m 1.00375 .67692 L s P p .001 w 1 .70769 m 1.00375 .70769 L s P p .001 w 1 .73846 m 1.00375 .73846 L s P p .001 w 1 .8 m 1.00375 .8 L s P p .001 w 1 .83077 m 1.00375 .83077 L s P p .001 w 1 .86154 m 1.00375 .86154 L s P p .001 w 1 .89231 m 1.00375 .89231 L s P p .001 w 1 .95385 m 1.00375 .95385 L s P p .001 w 1 .98462 m 1.00375 .98462 L s P p .002 w 1 0 m 1 1 L s P P 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath p .008 w .03529 .06104 Mdot .1958 .53635 Mdot .31053 .67751 Mdot .3966 .75519 Mdot .46357 .80414 Mdot .51716 .83742 Mdot .56102 .86122 Mdot .59757 .87889 Mdot .6285 .89241 Mdot .65502 .90299 Mdot .678 .91144 Mdot .69811 .91829 Mdot .71586 .92394 Mdot .73164 .92865 Mdot .74575 .93261 Mdot .75846 .93598 Mdot .76996 .93887 Mdot P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] We can create a second order filter using a pair of complex conjugate roots as a function of the complex frequency s. ;[s] 3:0,0;115,1;116,0;118,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) ContinuousSecondOrderFilter[f_,q_] := Expand[(s-ContinuousSecondOrderRoot[f,q]) (s-Conjugate[ContinuousSecondOrderRoot[f,q]])]//N (* :[font = text; inactive; dontPreserveAspect] The maximum response of this filter is not at its "center" frequency but at a slightly lower frequency given by. :[font = input; initialization; dontPreserveAspect] *) ContinuousNaturalResonance[f_,q_] := f Sqrt[1 - 1/(2q^2)] (* :[font = text; inactive; dontPreserveAspect] The approximate location of the 3dB points of the response curve are defined by the following two equations. :[font = input; initialization; dontPreserveAspect] *) Lower3DbPoint[f_,q_] := ContinuousNaturalResonance[f,q] - f/(2q) (* :[font = input; initialization; dontPreserveAspect; endGroup] *) Upper3DbPoint[f_,q_] := ContinuousNaturalResonance[f,q] + f/(2q) (* :[font = subsubsection; inactive; dontPreserveAspect; startGroup] A.1.2 - Test Code :[font = text; inactive; dontPreserveAspect] The following two equations verify that the two 3dB frequencies really do solve the definining equations (See Hayt and Kemmerly, "Engineering Circuit Analysis".) :[font = input; dontPreserveAspect; startGroup] Simplify[q(Upper3DbPoint[f,q]/f-f/Upper3DbPoint[f,q])] :[font = output; output; inactive; dontPreserveAspect; endGroup] (-(f/(f*(1 - 1/(2*q^2))^(1/2) + f/(2*q))) + (f*(1 - 1/(2*q^2))^(1/2) + f/(2*q))/f)*q ;[o] 1 f f Sqrt[1 - ----] + --- 2 2 q f 2 q (-(----------------------) + ----------------------) q 1 f f f Sqrt[1 - ----] + --- 2 2 q 2 q :[font = input; dontPreserveAspect; startGroup] Simplify[q(Lower3DbPoint[f,q]/f-f/Lower3DbPoint[f,q])] :[font = output; output; inactive; dontPreserveAspect; endGroup] (-(f/(f*(1 - 1/(2*q^2))^(1/2) - f/(2*q))) + (f*(1 - 1/(2*q^2))^(1/2) - f/(2*q))/f)*q ;[o] 1 f f Sqrt[1 - ----] - --- 2 2 q f 2 q (-(----------------------) + ----------------------) q 1 f f f Sqrt[1 - ----] - --- 2 2 q 2 q :[font = text; inactive; dontPreserveAspect] Note that if we subtract the two 3dB frequencies we get the bandwidth of the filter (in cycles per second) as a function of the center frequency and q. ;[s] 3:0,0;149,1;150,0;152,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] Simplify[Upper3DbPoint[f,q] - Lower3DbPoint[f,q]] :[font = output; output; inactive; dontPreserveAspect; endGroup] f/q ;[o] f - q :[font = input; dontPreserveAspect; startGroup] ContinuousSecondOrderRoot[1000,10] :[font = output; output; inactive; dontPreserveAspect; endGroup] -100*Pi + 100*I*399^(1/2)*Pi ;[o] -100 Pi + 100 I Sqrt[399] Pi :[font = input; dontPreserveAspect; startGroup] N[Abs[%]/ ( 2 Pi ) ] :[font = output; output; inactive; dontPreserveAspect; endGroup; endGroup] 1000. ;[o] 1000. :[font = subsubsection; inactive; dontPreserveAspect; startGroup] A.1.3 - Continuous Filter Design :[font = text; inactive; dontPreserveAspect] Now we can actually create a filter. A bandpass filter (or resonator) is defined by placing the roots of a second order polynomial in the denominator. This time we normalize the gain of the filter so at its peak (at the NaturalResonance frequency) it has unity gain. :[font = input; initialization; dontPreserveAspect] *) MakeContinuousResonance[f_,q_] := ContinuousAdjustGain[1/ContinuousSecondOrderFilter[f,q], ContinuousNaturalResonance[f,q]] (* :[font = text; inactive; dontPreserveAspect] A typical bandpass filter (or resonator) with a center frequency of 1000Hz and a q of 10 looks like this. :[font = input; dontPreserveAspect; startGroup] MakeContinuousResonance[1000,10]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] (197392.088021785 + 3.937959788089917*10^6*I)/ (3.947841760435743*10^7 + 628.3185307179587*s + s^2) ;[o] 6 197392. + 3.93796 10 I ---------------------------- 7 2 3.94784 10 + 628.319 s + s :[font = text; inactive; dontPreserveAspect] The gain of this bandpass filter is shown below. :[font = input; dontPreserveAspect; startGroup] ContinuousFreqResponse[MakeContinuousResonance[1000,10], 2000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00047619 0.603319 0.0199037 [ [(500)] .2619 .60332 0 2 Msboxa [(1000)] .5 .60332 0 2 Msboxa [(1500)] .7381 .60332 0 2 Msboxa [(2000)] .97619 .60332 0 2 Msboxa [( Hz)] 1.025 .60332 -1 0 Msboxa [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(-30)] .01131 .00621 1 0 Msboxa [(-25)] .01131 .10573 1 0 Msboxa [(-20)] .01131 .20524 1 0 Msboxa [(-15)] .01131 .30476 1 0 Msboxa [(-10)] .01131 .40428 1 0 Msboxa [(-5)] .01131 .5038 1 0 Msboxa [(dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .60332 m .2619 .60957 L s P [(500)] .2619 .60332 0 2 Mshowa p .002 w .5 .60332 m .5 .60957 L s P [(1000)] .5 .60332 0 2 Mshowa p .002 w .7381 .60332 m .7381 .60957 L s P [(1500)] .7381 .60332 0 2 Mshowa p .002 w .97619 .60332 m .97619 .60957 L s P [(2000)] .97619 .60332 0 2 Mshowa p .001 w .07143 .60332 m .07143 .60707 L s P p .001 w .11905 .60332 m .11905 .60707 L s P p .001 w .16667 .60332 m .16667 .60707 L s P p .001 w .21429 .60332 m .21429 .60707 L s P p .001 w .30952 .60332 m .30952 .60707 L s P p .001 w .35714 .60332 m .35714 .60707 L s P p .001 w .40476 .60332 m .40476 .60707 L s P p .001 w .45238 .60332 m .45238 .60707 L s P p .001 w .54762 .60332 m .54762 .60707 L s P p .001 w .59524 .60332 m .59524 .60707 L s P p .001 w .64286 .60332 m .64286 .60707 L s P p .001 w .69048 .60332 m .69048 .60707 L s P p .001 w .78571 .60332 m .78571 .60707 L s P p .001 w .83333 .60332 m .83333 .60707 L s P p .001 w .88095 .60332 m .88095 .60707 L s P p .001 w .92857 .60332 m .92857 .60707 L s P [( Hz)] 1.025 .60332 -1 0 Mshowa p .002 w 0 .60332 m 1 .60332 L s P [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .00621 m .03006 .00621 L s P [(-30)] .01131 .00621 1 0 Mshowa p .002 w .02381 .10573 m .03006 .10573 L s P [(-25)] .01131 .10573 1 0 Mshowa p .002 w .02381 .20524 m .03006 .20524 L s P [(-20)] .01131 .20524 1 0 Mshowa p .002 w .02381 .30476 m .03006 .30476 L s P [(-15)] .01131 .30476 1 0 Mshowa p .002 w .02381 .40428 m .03006 .40428 L s P [(-10)] .01131 .40428 1 0 Mshowa p .002 w .02381 .5038 m .03006 .5038 L s P [(-5)] .01131 .5038 1 0 Mshowa p .001 w .02381 .02611 m .02756 .02611 L s P p .001 w .02381 .04601 m .02756 .04601 L s P p .001 w .02381 .06592 m .02756 .06592 L s P p .001 w .02381 .08582 m .02756 .08582 L s P p .001 w .02381 .12563 m .02756 .12563 L s P p .001 w .02381 .14553 m .02756 .14553 L s P p .001 w .02381 .16544 m .02756 .16544 L s P p .001 w .02381 .18534 m .02756 .18534 L s P p .001 w .02381 .22515 m .02756 .22515 L s P p .001 w .02381 .24505 m .02756 .24505 L s P p .001 w .02381 .26496 m .02756 .26496 L s P p .001 w .02381 .28486 m .02756 .28486 L s P p .001 w .02381 .32467 m .02756 .32467 L s P p .001 w .02381 .34457 m .02756 .34457 L s P p .001 w .02381 .36447 m .02756 .36447 L s P p .001 w .02381 .38438 m .02756 .38438 L s P p .001 w .02381 .42419 m .02756 .42419 L s P p .001 w .02381 .44409 m .02756 .44409 L s P p .001 w .02381 .46399 m .02756 .46399 L s P p .001 w .02381 .4839 m .02756 .4839 L s P p .001 w .02381 .5237 m .02756 .5237 L s P p .001 w .02381 .54361 m .02756 .54361 L s P p .001 w .02381 .56351 m .02756 .56351 L s P p .001 w .02381 .58342 m .02756 .58342 L s P [(dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02429 .20503 m .02553 .20503 L .02676 .20503 L .028 .20504 L .02924 .20505 L .03172 .20508 L .0342 .20511 L .03916 .20521 L .04412 .20534 L .05403 .20572 L .06395 .20625 L .07386 .20694 L .08378 .20778 L .10361 .20993 L .12344 .21273 L .14327 .2162 L .18294 .22538 L .2226 .23791 L .26226 .25455 L .30192 .27648 L .34159 .30568 L .36142 .32404 L .38125 .3458 L .40108 .37201 L .42091 .4043 L .44074 .4452 L .46058 .49832 L .48041 .56417 L .48536 .58004 L .48784 .58708 L .49032 .59318 L .49156 .59579 L .4928 .59806 L .49404 .59996 L .49528 .60146 L .49652 .60253 L .49776 .60315 L .499 .60331 L .50024 .60301 L .50148 .60224 L .50272 .60101 L .50396 .59934 L .5052 .59725 L .51015 .58529 L .51511 .5692 L .52007 .55101 L .5399 .47858 L .55973 .4194 L .57956 .37211 L .61923 .30005 L Mistroke .65889 .24578 L .69855 .202 L .73821 .16511 L .77788 .13311 L .81754 .10475 L .8572 .07922 L .89687 .05596 L .93653 .03456 L .97619 .01472 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Finally, we can also show how the phase of this bandpass filter shifts as the frequency passes through the resonant frequency. The phase is equal to zero near the center frequency since we have normalized the gain of the filter so that it is equal to one at the resonance frequency. :[font = input; dontPreserveAspect; startGroup] Plot[Release[ContinuousFilterPhase[ MakeContinuousResonance[1000,10],f]], {f,0,2000}]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00047619 0.312233 0.191414 [ [(500)] .2619 .31223 0 2 Msboxa [(1000)] .5 .31223 0 2 Msboxa [(1500)] .7381 .31223 0 2 Msboxa [(2000)] .97619 .31223 0 2 Msboxa [(-1.5)] .01131 .02511 1 0 Msboxa [(-1)] .01131 .12082 1 0 Msboxa [(-0.5)] .01131 .21653 1 0 Msboxa [(0.5)] .01131 .40794 1 0 Msboxa [(1)] .01131 .50365 1 0 Msboxa [(1.5)] .01131 .59935 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .31223 m .2619 .31848 L s P [(500)] .2619 .31223 0 2 Mshowa p .002 w .5 .31223 m .5 .31848 L s P [(1000)] .5 .31223 0 2 Mshowa p .002 w .7381 .31223 m .7381 .31848 L s P [(1500)] .7381 .31223 0 2 Mshowa p .002 w .97619 .31223 m .97619 .31848 L s P [(2000)] .97619 .31223 0 2 Mshowa p .001 w .07143 .31223 m .07143 .31598 L s P p .001 w .11905 .31223 m .11905 .31598 L s P p .001 w .16667 .31223 m .16667 .31598 L s P p .001 w .21429 .31223 m .21429 .31598 L s P p .001 w .30952 .31223 m .30952 .31598 L s P p .001 w .35714 .31223 m .35714 .31598 L s P p .001 w .40476 .31223 m .40476 .31598 L s P p .001 w .45238 .31223 m .45238 .31598 L s P p .001 w .54762 .31223 m .54762 .31598 L s P p .001 w .59524 .31223 m .59524 .31598 L s P p .001 w .64286 .31223 m .64286 .31598 L s P p .001 w .69048 .31223 m .69048 .31598 L s P p .001 w .78571 .31223 m .78571 .31598 L s P p .001 w .83333 .31223 m .83333 .31598 L s P p .001 w .88095 .31223 m .88095 .31598 L s P p .001 w .92857 .31223 m .92857 .31598 L s P p .002 w 0 .31223 m 1 .31223 L s P p .002 w .02381 .02511 m .03006 .02511 L s P [(-1.5)] .01131 .02511 1 0 Mshowa p .002 w .02381 .12082 m .03006 .12082 L s P [(-1)] .01131 .12082 1 0 Mshowa p .002 w .02381 .21653 m .03006 .21653 L s P [(-0.5)] .01131 .21653 1 0 Mshowa p .002 w .02381 .40794 m .03006 .40794 L s P [(0.5)] .01131 .40794 1 0 Mshowa p .002 w .02381 .50365 m .03006 .50365 L s P [(1)] .01131 .50365 1 0 Mshowa p .002 w .02381 .59935 m .03006 .59935 L s P [(1.5)] .01131 .59935 1 0 Mshowa p .001 w .02381 .04425 m .02756 .04425 L s P p .001 w .02381 .06339 m .02756 .06339 L s P p .001 w .02381 .08254 m .02756 .08254 L s P p .001 w .02381 .10168 m .02756 .10168 L s P p .001 w .02381 .13996 m .02756 .13996 L s P p .001 w .02381 .1591 m .02756 .1591 L s P p .001 w .02381 .17824 m .02756 .17824 L s P p .001 w .02381 .19738 m .02756 .19738 L s P p .001 w .02381 .23567 m .02756 .23567 L s P p .001 w .02381 .25481 m .02756 .25481 L s P p .001 w .02381 .27395 m .02756 .27395 L s P p .001 w .02381 .29309 m .02756 .29309 L s P p .001 w .02381 .33137 m .02756 .33137 L s P p .001 w .02381 .35052 m .02756 .35052 L s P p .001 w .02381 .36966 m .02756 .36966 L s P p .001 w .02381 .3888 m .02756 .3888 L s P p .001 w .02381 .42708 m .02756 .42708 L s P p .001 w .02381 .44622 m .02756 .44622 L s P p .001 w .02381 .46536 m .02756 .46536 L s P p .001 w .02381 .48451 m .02756 .48451 L s P p .001 w .02381 .52279 m .02756 .52279 L s P p .001 w .02381 .54193 m .02756 .54193 L s P p .001 w .02381 .56107 m .02756 .56107 L s P p .001 w .02381 .58021 m .02756 .58021 L s P p .001 w .02381 .00597 m .02756 .00597 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02381 .60332 m .06349 .60171 L .10317 .60004 L .14286 .59822 L .18254 .59614 L .22222 .59368 L .2619 .59058 L .30159 .58644 L .32143 .58376 L .34127 .58046 L .36111 .57629 L .38095 .57082 L .39087 .56739 L .40079 .56331 L .41071 .5584 L .42063 .55235 L .43056 .54475 L .44048 .53492 L .4504 .5218 L .45536 .51349 L .46032 .50359 L .46528 .49168 L .47024 .47721 L .4752 .45948 L .48016 .43766 L .49008 .37894 L .5 .30265 L .50992 .22777 L .51488 .19703 L .51984 .17156 L .52976 .13392 L .53472 .12013 L .53968 .10876 L .5496 .0913 L .55952 .07866 L .56944 .06916 L .57937 .06179 L .58929 .05592 L .59921 .05114 L .61905 .04383 L .63889 .03851 L .65873 .03447 L .67857 .03129 L .69841 .02873 L .7381 .02483 L .77778 .02201 L .81746 .01987 L .85714 .01818 L .89683 .01681 L .93651 .01567 L Mistroke .97619 .01472 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] The plot below shows the frequency response of second order bandpass filters with a center frequency of 1000Hz as the quality factor (q) is varied. The flattest curve is the frequency response of a filter with a q of .7 while the narrowest (sharpest) filter has a q of 10. ;[s] 7:0,0;134,1;135,0;213,1;214,0;265,1;266,0;274,-1; 2:4,17,12,Geneva,0,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; closed; dontPreserveAspect; startGroup] Show[Table[ContinuousFreqResponse[ MakeContinuousResonance[1000,q],2000], {q,.7,10,1}]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; closed; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00047619 0.603319 0.0417191 [ [(500)] .2619 .60332 0 2 Msboxa [(1000)] .5 .60332 0 2 Msboxa [(1500)] .7381 .60332 0 2 Msboxa [(2000)] .97619 .60332 0 2 Msboxa [( Hz)] 1.025 .60332 -1 0 Msboxa [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(-14)] .01131 .01925 1 0 Msboxa [(-12)] .01131 .10269 1 0 Msboxa [(-10)] .01131 .18613 1 0 Msboxa [(-8)] .01131 .26957 1 0 Msboxa [(-6)] .01131 .353 1 0 Msboxa [(-4)] .01131 .43644 1 0 Msboxa [(-2)] .01131 .51988 1 0 Msboxa [(dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .60332 m .2619 .60957 L s P [(500)] .2619 .60332 0 2 Mshowa p .002 w .5 .60332 m .5 .60957 L s P [(1000)] .5 .60332 0 2 Mshowa p .002 w .7381 .60332 m .7381 .60957 L s P [(1500)] .7381 .60332 0 2 Mshowa p .002 w .97619 .60332 m .97619 .60957 L s P [(2000)] .97619 .60332 0 2 Mshowa p .001 w .07143 .60332 m .07143 .60707 L s P p .001 w .11905 .60332 m .11905 .60707 L s P p .001 w .16667 .60332 m .16667 .60707 L s P p .001 w .21429 .60332 m .21429 .60707 L s P p .001 w .30952 .60332 m .30952 .60707 L s P p .001 w .35714 .60332 m .35714 .60707 L s P p .001 w .40476 .60332 m .40476 .60707 L s P p .001 w .45238 .60332 m .45238 .60707 L s P p .001 w .54762 .60332 m .54762 .60707 L s P p .001 w .59524 .60332 m .59524 .60707 L s P p .001 w .64286 .60332 m .64286 .60707 L s P p .001 w .69048 .60332 m .69048 .60707 L s P p .001 w .78571 .60332 m .78571 .60707 L s P p .001 w .83333 .60332 m .83333 .60707 L s P p .001 w .88095 .60332 m .88095 .60707 L s P p .001 w .92857 .60332 m .92857 .60707 L s P [( Hz)] 1.025 .60332 -1 0 Mshowa p .002 w 0 .60332 m 1 .60332 L s P [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .01925 m .03006 .01925 L s P [(-14)] .01131 .01925 1 0 Mshowa p .002 w .02381 .10269 m .03006 .10269 L s P [(-12)] .01131 .10269 1 0 Mshowa p .002 w .02381 .18613 m .03006 .18613 L s P [(-10)] .01131 .18613 1 0 Mshowa p .002 w .02381 .26957 m .03006 .26957 L s P [(-8)] .01131 .26957 1 0 Mshowa p .002 w .02381 .353 m .03006 .353 L s P [(-6)] .01131 .353 1 0 Mshowa p .002 w .02381 .43644 m .03006 .43644 L s P [(-4)] .01131 .43644 1 0 Mshowa p .002 w .02381 .51988 m .03006 .51988 L s P [(-2)] .01131 .51988 1 0 Mshowa p .001 w .02381 .03594 m .02756 .03594 L s P p .001 w .02381 .05263 m .02756 .05263 L s P p .001 w .02381 .06931 m .02756 .06931 L s P p .001 w .02381 .086 m .02756 .086 L s P p .001 w .02381 .11938 m .02756 .11938 L s P p .001 w .02381 .13606 m .02756 .13606 L s P p .001 w .02381 .15275 m .02756 .15275 L s P p .001 w .02381 .16944 m .02756 .16944 L s P p .001 w .02381 .20282 m .02756 .20282 L s P p .001 w .02381 .2195 m .02756 .2195 L s P p .001 w .02381 .23619 m .02756 .23619 L s P p .001 w .02381 .25288 m .02756 .25288 L s P p .001 w .02381 .28625 m .02756 .28625 L s P p .001 w .02381 .30294 m .02756 .30294 L s P p .001 w .02381 .31963 m .02756 .31963 L s P p .001 w .02381 .33632 m .02756 .33632 L s P p .001 w .02381 .36969 m .02756 .36969 L s P p .001 w .02381 .38638 m .02756 .38638 L s P p .001 w .02381 .40307 m .02756 .40307 L s P p .001 w .02381 .41975 m .02756 .41975 L s P p .001 w .02381 .45313 m .02756 .45313 L s P p .001 w .02381 .46982 m .02756 .46982 L s P p .001 w .02381 .48651 m .02756 .48651 L s P p .001 w .02381 .50319 m .02756 .50319 L s P p .001 w .02381 .53657 m .02756 .53657 L s P p .001 w .02381 .55326 m .02756 .55326 L s P p .001 w .02381 .56994 m .02756 .56994 L s P p .001 w .02381 .58663 m .02756 .58663 L s P p .001 w .02381 .00256 m .02756 .00256 L s P [(dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02429 .52978 m .02553 .52978 L .02676 .52978 L .028 .52978 L .02924 .52978 L .03172 .52978 L .0342 .52978 L .03668 .52977 L .03916 .52977 L .04412 .52977 L .04907 .52976 L .05403 .52975 L .05899 .52973 L .06395 .52972 L .07386 .52968 L .08378 .52962 L .0937 .52954 L .10361 .52943 L .11353 .52929 L .12344 .52911 L .14327 .5286 L .15319 .52825 L .16311 .52783 L .18294 .52672 L .20277 .52518 L .2226 .52311 L .24243 .52042 L .26226 .517 L .30192 .50759 L .34159 .49427 L .38125 .47669 L .42091 .45487 L .46058 .42921 L .50024 .40035 L .5399 .36908 L .57956 .33619 L .61923 .30238 L .65889 .26821 L .69855 .23412 L .73821 .20044 L .77788 .16738 L .81754 .13508 L .8572 .10363 L .89687 .07308 L .93653 .04344 L .97619 .01472 L s P P % End of Graphics MathPictureEnd :[font = postscript; PostScript; formatAsPostScript; output; inactive; closed; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00047619 0.603319 0.0388118 [ [(500)] .2619 .60332 0 2 Msboxa [(1000)] .5 .60332 0 2 Msboxa [(1500)] .7381 .60332 0 2 Msboxa [(2000)] .97619 .60332 0 2 Msboxa [( Hz)] 1.025 .60332 -1 0 Msboxa [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(-14)] .01131 .05995 1 0 Msboxa [(-12)] .01131 .13758 1 0 Msboxa [(-10)] .01131 .2152 1 0 Msboxa [(-8)] .01131 .29282 1 0 Msboxa [(-6)] .01131 .37045 1 0 Msboxa [(-4)] .01131 .44807 1 0 Msboxa [(-2)] .01131 .5257 1 0 Msboxa [(dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .60332 m .2619 .60957 L s P [(500)] .2619 .60332 0 2 Mshowa p .002 w .5 .60332 m .5 .60957 L s P [(1000)] .5 .60332 0 2 Mshowa p .002 w .7381 .60332 m .7381 .60957 L s P [(1500)] .7381 .60332 0 2 Mshowa p .002 w .97619 .60332 m .97619 .60957 L s P [(2000)] .97619 .60332 0 2 Mshowa p .001 w .07143 .60332 m .07143 .60707 L s P p .001 w .11905 .60332 m .11905 .60707 L s P p .001 w .16667 .60332 m .16667 .60707 L s P p .001 w .21429 .60332 m .21429 .60707 L s P p .001 w .30952 .60332 m .30952 .60707 L s P p .001 w .35714 .60332 m .35714 .60707 L s P p .001 w .40476 .60332 m .40476 .60707 L s P p .001 w .45238 .60332 m .45238 .60707 L s P p .001 w .54762 .60332 m .54762 .60707 L s P p .001 w .59524 .60332 m .59524 .60707 L s P p .001 w .64286 .60332 m .64286 .60707 L s P p .001 w .69048 .60332 m .69048 .60707 L s P p .001 w .78571 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p .004 w .02429 .2469 m .02553 .2469 L .02676 .24691 L .028 .24691 L .02924 .24692 L .03172 .24695 L .0342 .24698 L .03916 .24708 L .04412 .24721 L .05403 .2476 L .06395 .24813 L .07386 .24882 L .08378 .24966 L .10361 .25182 L .12344 .25464 L .14327 .25813 L .18294 .26734 L .2226 .27993 L .26226 .2966 L .30192 .31852 L .34159 .3476 L .36142 .36579 L .38125 .38723 L .40108 .41282 L .42091 .44388 L .46058 .52899 L .48041 .57976 L .48536 .59026 L .48784 .59462 L .49032 .59822 L .49156 .5997 L .4928 .60094 L .49404 .60193 L .49528 .60266 L .49652 .60312 L .49776 .60331 L .499 .60323 L .50024 .60286 L .50148 .60221 L .50272 .60129 L .50396 .6001 L .5052 .59865 L .51015 .59052 L .51511 .57934 L .52007 .56613 L .5399 .50765 L .57956 .41002 L .61923 .34001 L .65889 .28632 L .69855 .24269 L Mistroke .73821 .20578 L .77788 .17368 L .81754 .1452 L .8572 .11954 L .89687 .09613 L .93653 .07459 L .97619 .05462 L Mfstroke P P p p .004 w .02429 .22568 m .02553 .22568 L .02676 .22569 L .028 .22569 L .02924 .2257 L .03172 .22573 L .0342 .22576 L .03916 .22586 L .04412 .226 L .05403 .22638 L .06395 .22692 L .07386 .22761 L .08378 .22845 L .10361 .23061 L .12344 .23343 L .14327 .23694 L .18294 .24617 L .2226 .25879 L .26226 .27552 L .30192 .29755 L .34159 .32684 L .36142 .3452 L .38125 .36691 L .40108 .39296 L .42091 .42481 L .46058 .51486 L .48041 .573 L .48536 .58592 L .48784 .59146 L .49032 .59613 L .49156 .59809 L .4928 .59977 L .49404 .60114 L .49528 .60219 L .49652 .6029 L .49776 .60327 L .499 .60328 L .50024 .60294 L .50148 .60224 L .50272 .60119 L .50396 .5998 L .5052 .59808 L .51015 .58832 L .51511 .57499 L .52007 .55953 L .5399 .49422 L .55973 .43783 L .57956 .39166 L .61923 .32025 L .65889 .266 L Mistroke .69855 .22208 L .73821 .18501 L .77788 .15281 L .81754 .12426 L .8572 .09854 L .89687 .07511 L .93653 .05354 L .97619 .03354 L Mfstroke P P p p .004 w .02429 .20676 m .02553 .20676 L .02676 .20676 L .028 .20677 L .02924 .20678 L .03172 .20681 L .0342 .20684 L .03916 .20694 L .04412 .20707 L .05403 .20746 L .06395 .208 L .07386 .20869 L .08378 .20953 L .10361 .2117 L .12344 .21452 L .14327 .21803 L .18294 .22728 L .2226 .23992 L .26226 .2567 L .30192 .2788 L .34159 .30823 L .36142 .32673 L .38125 .34863 L .40108 .375 L .42091 .40744 L .44074 .44841 L .46058 .50132 L .48041 .56596 L .48536 .58127 L .48784 .58801 L .49032 .59382 L .49156 .5963 L .4928 .59844 L .49404 .60023 L .49528 .60163 L .49652 .60262 L .49776 .60318 L .499 .60331 L .50024 .60299 L .50148 .60223 L .50272 .60104 L .50396 .59942 L .5052 .59741 L .51015 .5859 L .51511 .57034 L .52007 .55265 L .5399 .48125 L .55973 .42222 L .57956 .37482 L .61923 .30238 L Mistroke .65889 .24772 L .69855 .20359 L .73821 .16641 L .77788 .13413 L .81754 .10553 L .8572 .07978 L .89687 .05632 L .93653 .03473 L .97619 .01472 L Mfstroke P P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Likewise we can create a second order filter with a notch in the frequency response. In this case all of the roots are in the numerator so there is a zero (or a notch) in the frequency response. We normalize the filter's gain so that at DC there is unity gain. :[font = input; initialization; dontPreserveAspect] *) MakeContinuousAntiResonance[f_,q_] := ContinuousAdjustGain[ContinuousSecondOrderFilter[f,q], 0] (* :[font = text; inactive; dontPreserveAspect] A filter with a notch centered at 1000 Hz and with a q of 10 is described by the following equation. ;[s] 3:0,0;53,1;54,0;101,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] MakeContinuousAntiResonance[1000,10] :[font = output; output; inactive; dontPreserveAspect; endGroup] 2.533029591058445*10^-8* (3.947841760435743*10^7 + 628.3185307179587*s + s^2) ;[o] -8 7 2 2.53303 10 (3.94784 10 + 628.319 s + s ) :[font = text; inactive; dontPreserveAspect] The response of this filter in the frequency domain is shown below. :[font = input; dontPreserveAspect; startGroup] ContinuousFreqResponse[ MakeContinuousAntiResonance[1000,10],2000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00047619 0.413004 0.0199039 [ [(500)] .2619 .413 0 2 Msboxa [(1000)] .5 .413 0 2 Msboxa [(1500)] .7381 .413 0 2 Msboxa [(2000)] .97619 .413 0 2 Msboxa [( Hz)] 1.025 .413 -1 0 Msboxa [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(-20)] .01131 .01493 1 0 Msboxa [(-15)] .01131 .11445 1 0 Msboxa [(-10)] .01131 .21396 1 0 Msboxa [(-5)] .01131 .31348 1 0 Msboxa [(5)] .01131 .51252 1 0 Msboxa [(10)] .01131 .61204 1 0 Msboxa [(dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .413 m .2619 .41925 L s P [(500)] .2619 .413 0 2 Mshowa p .002 w .5 .413 m .5 .41925 L s P [(1000)] .5 .413 0 2 Mshowa p .002 w .7381 .413 m .7381 .41925 L s P [(1500)] .7381 .413 0 2 Mshowa p .002 w .97619 .413 m .97619 .41925 L s P [(2000)] .97619 .413 0 2 Mshowa p .001 w .07143 .413 m .07143 .41675 L s P p .001 w .11905 .413 m .11905 .41675 L s P p .001 w .16667 .413 m .16667 .41675 L s P p .001 w .21429 .413 m .21429 .41675 L s P p .001 w .30952 .413 m .30952 .41675 L s P p .001 w .35714 .413 m .35714 .41675 L s P p .001 w .40476 .413 m .40476 .41675 L s P p .001 w .45238 .413 m .45238 .41675 L s P p .001 w .54762 .413 m .54762 .41675 L s P p .001 w .59524 .413 m .59524 .41675 L s P p .001 w .64286 .413 m .64286 .41675 L s P p .001 w .69048 .413 m .69048 .41675 L s P p .001 w .78571 .413 m .78571 .41675 L s P p .001 w .83333 .413 m .83333 .41675 L s P p .001 w .88095 .413 m .88095 .41675 L s P p .001 w .92857 .413 m .92857 .41675 L s P [( Hz)] 1.025 .413 -1 0 Mshowa p .002 w 0 .413 m 1 .413 L s P [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .01493 m .03006 .01493 L s P [(-20)] .01131 .01493 1 0 Mshowa p .002 w .02381 .11445 m .03006 .11445 L s P [(-15)] .01131 .11445 1 0 Mshowa p .002 w .02381 .21396 m .03006 .21396 L s P [(-10)] .01131 .21396 1 0 Mshowa p .002 w .02381 .31348 m .03006 .31348 L s P [(-5)] .01131 .31348 1 0 Mshowa p .002 w .02381 .51252 m .03006 .51252 L s P [(5)] .01131 .51252 1 0 Mshowa p .002 w .02381 .61204 m .03006 .61204 L s P [(10)] .01131 .61204 1 0 Mshowa p .001 w .02381 .03483 m .02756 .03483 L s P p .001 w .02381 .05473 m .02756 .05473 L s P p .001 w .02381 .07464 m .02756 .07464 L s P p .001 w .02381 .09454 m .02756 .09454 L s P p .001 w .02381 .13435 m .02756 .13435 L s P p .001 w .02381 .15425 m .02756 .15425 L s P p .001 w .02381 .17416 m .02756 .17416 L s P p .001 w .02381 .19406 m .02756 .19406 L s P p .001 w .02381 .23387 m .02756 .23387 L s P p .001 w .02381 .25377 m .02756 .25377 L s P p .001 w .02381 .27368 m .02756 .27368 L s P p .001 w .02381 .29358 m .02756 .29358 L s P p .001 w .02381 .33339 m .02756 .33339 L s P p .001 w .02381 .35329 m .02756 .35329 L s P p .001 w .02381 .3732 m .02756 .3732 L s P p .001 w .02381 .3931 m .02756 .3931 L s P p .001 w .02381 .43291 m .02756 .43291 L s P p .001 w .02381 .45281 m .02756 .45281 L s P p .001 w .02381 .47272 m .02756 .47272 L s P p .001 w .02381 .49262 m .02756 .49262 L s P p .001 w .02381 .53243 m .02756 .53243 L s P p .001 w .02381 .55233 m .02756 .55233 L s P p .001 w .02381 .57224 m .02756 .57224 L s P p .001 w .02381 .59214 m .02756 .59214 L s P [(dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02429 .413 m .02553 .413 L .02676 .413 L .028 .41299 L .02924 .41298 L .03172 .41296 L .0342 .41292 L .03916 .41283 L .04412 .41269 L .05403 .41231 L .06395 .41178 L .07386 .41109 L .08378 .41025 L .10361 .4081 L .12344 .40531 L .14327 .40183 L .18294 .39266 L .2226 .38012 L .26226 .36348 L .30192 .34156 L .34159 .31235 L .36142 .29399 L .38125 .27223 L .40108 .24602 L .42091 .21373 L .44074 .17283 L .46058 .11971 L .48041 .05386 L .48536 .03799 L .48784 .03095 L .49032 .02485 L .49156 .02224 L .4928 .01997 L .49404 .01807 L .49528 .01657 L .49652 .0155 L .49776 .01488 L .499 .01472 L .50024 .01502 L .50148 .01579 L .50272 .01702 L .50396 .01869 L .5052 .02078 L .51015 .03274 L .51511 .04883 L .52007 .06701 L .5399 .13945 L .55973 .19863 L .57956 .24592 L .61923 .31798 L Mistroke .65889 .37225 L .69855 .41603 L .73821 .45292 L .77788 .48492 L .81754 .51328 L .8572 .53881 L .89687 .56208 L .93653 .58348 L .97619 .60332 L Mfstroke P P % End of Graphics MathPictureEnd :[font = subsubsection; inactive; dontPreserveAspect; startGroup] A.1.4 - More Test Code :[font = text; inactive; dontPreserveAspect] The following function prints some interesting information about a filter function. :[font = input; initialization; dontPreserveAspect] *) FilterCheck[filter_,f_,q_] := Block[{center,fd,f1,f2,g1,g2}, f1 = N[Lower3DbPoint[f,q]]; f2 = N[Upper3DbPoint[f,q]]; fd = N[ContinuousNaturalResonance[f,q]]; g = N[ContinuousFilterMag[filter,fd]]; g1 = N[ContinuousFilterMag[filter,f1]]; g2 = N[ContinuousFilterMag[filter,f2]]; Print["Gain at f1=",f1," is ",g1]; Print[" or ",dB[g1/g],"dB"]; Print["Gain at fd=",fd," is ",g]; Print["Gain at f2=",f2," is ",g2]; Print[" or ",dB[g2/g],"dB"]; ] (* :[font = input; dontPreserveAspect; startGroup] FilterCheck[MakeContinuousResonance[1000,10],1000,10] :[font = print; inactive; dontPreserveAspect; endGroup] Gain at f1=947.497 is 0.71646 or -2.89616dB Gain at fd=997.497 is 1. Gain at f2=1047.5 is 0.698751 or -3.11355dB :[font = text; inactive; dontPreserveAspect] Note that the calculation of the 3dB points is only approximate. As the q gets larger the approximation is better. ;[s] 3:0,0;73,1;74,0;116,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] FilterCheck[MakeContinuousResonance[1000,100],1000,100] :[font = print; inactive; dontPreserveAspect; endGroup] Gain at f1=994.975 is 0.707996 or -2.99939dB Gain at fd=999.975 is 1. Gain at f2=1004.97 is 0.706228 or -3.0211dB :[font = text; inactive; dontPreserveAspect] I've written the following function to look for the 3dB points. I couldn't figure out any way to make Mathematica solve the equation for me. ;[s] 3:0,0;103,1;114,0;142,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) FilterSearch[f_,v_,l_,h_] := Block[{vl,vm,vh,m}, m = (l + h) / 2; If [Abs[m-l] < m/1000000, Return[N[m]]]; vl = N[ContinuousFilterMag[f,l]]; vm = N[ContinuousFilterMag[f,(l+h)/2]]; vh = N[ContinuousFilterMag[f,h]]; If [ Between[vl,v,vm], FilterSearch[f,v,l,m], If [ Between [vm, v, vh], FilterSearch[f,v,m,h], Print["Error vl=",vl," vm=",vm," vh=",vh] ] ] ] (* :[font = input; initialization; dontPreserveAspect] *) Between[l_,m_,h_] := (m >= l && m < h) || (m < l && m >= h) (* :[font = text; inactive; dontPreserveAspect] Get a simple resonator with center frequency 1000 and a q of 2. ;[s] 3:0,0;56,1;57,0;64,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] a=MakeContinuousResonance[1000,2]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] (4.934802200544678*10^6 + 1.84643391059363*10^7*I)/ (3.947841760435743*10^7 + 3141.592653589793*s + s^2) ;[o] 6 7 4.9348 10 + 1.84643 10 I ---------------------------- 7 2 3.94784 10 + 3141.59 s + s :[font = text; inactive; dontPreserveAspect] First look for the upper 3dB point. Note that it is few percent lower in frequency than the equations predict. :[font = input; dontPreserveAspect; startGroup] f2=FilterSearch[a,N[Sqrt[2]/2],1000,1200] :[font = output; output; inactive; dontPreserveAspect; endGroup] 1165.814971923828 ;[o] 1165.81 :[font = input; dontPreserveAspect; startGroup] Upper3DbPoint[1000,2]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] 1185.414346693485 ;[o] 1185.41 :[font = text; inactive; dontPreserveAspect] Likewise the lower 3dB point is also off by a bit. :[font = input; dontPreserveAspect; startGroup] f1=FilterSearch[a,N[Sqrt[2]/2],500,1000] :[font = output; output; inactive; dontPreserveAspect; endGroup] 625.20170211792 ;[o] 625.202 :[font = input; dontPreserveAspect; startGroup] Lower3DbPoint[1000,2]//N :[font = output; output; inactive; dontPreserveAspect; endGroup; endGroup] 685.4143466934853 ;[o] 685.414 :[font = subsubsection; inactive; dontPreserveAspect; startGroup] A.1.5 - Playing Around :[font = text; inactive; dontPreserveAspect] We can now combine notch and resonance filters to get more interesting responses. The following combination of a resonance with a q of 2 at 1000Hz and a notch with a q of 5 at 1100Hz is similar to the cascade-only ear filters described in the main part of this report. :[font = input; dontPreserveAspect; startGroup] MakeContinuousResonance[1000,2] * MakeContinuousAntiResonance[1100,5]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] ((0.1033057851239669 + 0.3865348540055724*I)* (4.77688853012725*10^7 + 1382.300767579509*s + s^2) )/(3.947841760435743*10^7 + 3141.592653589793*s + s^2) ;[o] 7 2 (0.103306 + 0.386535 I) (4.77689 10 + 1382.3 s + s ) ----------------------------------------------------- 7 2 3.94784 10 + 3141.59 s + s :[font = input; dontPreserveAspect; startGroup] ContinuousFreqResponse[MakeContinuousResonance[1000,2]* MakeContinuousAntiResonance[1100,5]//N,2000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00047619 0.98615 0.061615 [ [(500)] .2619 .49323 0 2 Msboxa [(1000)] .5 .49323 0 2 Msboxa [(1500)] .7381 .49323 0 2 Msboxa [(2000)] .97619 .49323 0 2 Msboxa [( Hz)] 1.025 .49323 -1 0 Msboxa [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(-16)] .01131 .00031 1 0 Msboxa [(-14)] .01131 .12354 1 0 Msboxa [(-12)] .01131 .24677 1 0 Msboxa [(-10)] .01131 .37 1 0 Msboxa [(-6)] .01131 .61646 1 0 Msboxa [(dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .49323 m .2619 .49948 L s P [(500)] .2619 .49323 0 2 Mshowa p .002 w .5 .49323 m .5 .49948 L s P [(1000)] .5 .49323 0 2 Mshowa p .002 w .7381 .49323 m .7381 .49948 L s P [(1500)] .7381 .49323 0 2 Mshowa p .002 w .97619 .49323 m .97619 .49948 L s P [(2000)] .97619 .49323 0 2 Mshowa p .001 w .07143 .49323 m .07143 .49698 L s P p .001 w .11905 .49323 m .11905 .49698 L s P p .001 w .16667 .49323 m .16667 .49698 L s P p .001 w .21429 .49323 m .21429 .49698 L s P p .001 w .30952 .49323 m .30952 .49698 L s P p .001 w .35714 .49323 m .35714 .49698 L s P p .001 w .40476 .49323 m .40476 .49698 L s P p .001 w .45238 .49323 m .45238 .49698 L s P p .001 w .54762 .49323 m .54762 .49698 L s P p .001 w .59524 .49323 m .59524 .49698 L s P p .001 w .64286 .49323 m .64286 .49698 L s P p .001 w .69048 .49323 m .69048 .49698 L s P p .001 w .78571 .49323 m .78571 .49698 L s P p .001 w .83333 .49323 m .83333 .49698 L s P p .001 w .88095 .49323 m .88095 .49698 L s P p .001 w .92857 .49323 m .92857 .49698 L s P [( Hz)] 1.025 .49323 -1 0 Mshowa p .002 w 0 .49323 m 1 .49323 L s P [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .00031 m .03006 .00031 L s P [(-16)] .01131 .00031 1 0 Mshowa p .002 w .02381 .12354 m .03006 .12354 L s P [(-14)] .01131 .12354 1 0 Mshowa p .002 w .02381 .24677 m .03006 .24677 L s P [(-12)] .01131 .24677 1 0 Mshowa p .002 w .02381 .37 m .03006 .37 L s P [(-10)] .01131 .37 1 0 Mshowa p .002 w .02381 .61646 m .03006 .61646 L s P [(-6)] .01131 .61646 1 0 Mshowa p .001 w .02381 .02496 m .02756 .02496 L s P p .001 w .02381 .0496 m .02756 .0496 L s P p .001 w .02381 .07425 m .02756 .07425 L s P p .001 w .02381 .09889 m .02756 .09889 L s P p .001 w .02381 .14819 m .02756 .14819 L s P p .001 w .02381 .17283 m .02756 .17283 L s P p .001 w .02381 .19748 m .02756 .19748 L s P p .001 w .02381 .22212 m .02756 .22212 L s P p .001 w .02381 .27142 m .02756 .27142 L s P p .001 w .02381 .29606 m .02756 .29606 L s P p .001 w .02381 .32071 m .02756 .32071 L s P p .001 w .02381 .34535 m .02756 .34535 L s P p .001 w .02381 .39465 m .02756 .39465 L s P p .001 w .02381 .41929 m .02756 .41929 L s P p .001 w .02381 .44394 m .02756 .44394 L s P p .001 w .02381 .46858 m .02756 .46858 L s P p .001 w .02381 .51788 m .02756 .51788 L s P p .001 w .02381 .54252 m .02756 .54252 L s P p .001 w .02381 .56717 m .02756 .56717 L s P p .001 w .02381 .59181 m .02756 .59181 L s P [(dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02429 .59792 m .02553 .59792 L .02676 .59792 L .028 .59792 L .02924 .59793 L .03172 .59793 L .0342 .59794 L .03916 .59796 L .04412 .59798 L .05403 .59806 L .06395 .59817 L .08378 .59847 L .10361 .59888 L .14327 .59999 L .18294 .60136 L .20277 .60207 L .2226 .60269 L .23251 .60295 L .23747 .60306 L .24243 .60316 L .24739 .60323 L .24987 .60326 L .25235 .60329 L .25359 .6033 L .25483 .6033 L .25606 .60331 L .2573 .60331 L .25854 .60332 L .25978 .60332 L .26102 .60332 L .26226 .60332 L .2635 .60331 L .26474 .6033 L .26598 .6033 L .26722 .60328 L .2697 .60326 L .27218 .60322 L .27714 .60311 L .27961 .60304 L .28209 .60296 L .29201 .60249 L .29697 .60216 L .30192 .60177 L .31184 .60072 L .32176 .59928 L .33167 .59733 L .34159 .59477 L .3515 .59145 L .36142 .58719 L .37133 .58177 L Mistroke .38125 .57493 L .40108 .55565 L .411 .54239 L .42091 .52608 L .43083 .50616 L .44074 .48204 L .46058 .41899 L .48041 .33377 L .50024 .22851 L .52007 .11792 L .52999 .07069 L .53494 .05145 L .5399 .03593 L .54238 .02971 L .54486 .02457 L .54734 .02051 L .54858 .01889 L .54982 .01753 L .55106 .01645 L .5523 .01563 L .55353 .01507 L .55477 .01477 L .55601 .01472 L .55725 .0149 L .55849 .01533 L .55973 .01598 L .56221 .01792 L .56469 .02068 L .56965 .02829 L .57956 .04985 L .61923 .1583 L .63906 .205 L .65889 .24367 L .67872 .27536 L .69855 .3014 L .73821 .34096 L .77788 .36907 L .81754 .38977 L .8572 .40549 L .89687 .41774 L .93653 .42751 L .97619 .43545 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] A second filter is shown below. We have combined a broad notch with a narrow resonance to give a bandpass filter. :[font = input; dontPreserveAspect; startGroup] MakeContinuousResonance[1000,5] * MakeContinuousAntiResonance[1000,2]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] ((0.01999999999999997 + 0.1979898987322334*I)* (3.947841760435743*10^7 + 3141.592653589793*s + s^2))/ (3.947841760435743*10^7 + 1256.637061435917*s + s^2) ;[o] 7 2 (0.02 + 0.19799 I) (3.94784 10 + 3141.59 s + s ) ------------------------------------------------- 7 2 3.94784 10 + 1256.64 s + s :[font = input; dontPreserveAspect; startGroup] ContinuousFreqResponse[MakeContinuousResonance[1000,5]* MakeContinuousAntiResonance[1000,2]//N,2000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00047619 1.05182 0.0739572 [ [(500)] .2619 .46016 0 2 Msboxa [(1000)] .5 .46016 0 2 Msboxa [(1500)] .7381 .46016 0 2 Msboxa [(2000)] .97619 .46016 0 2 Msboxa [( Hz)] 1.025 .46016 -1 0 Msboxa [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotsboxa [(-14)] .01131 .01642 1 0 Msboxa [(-12)] .01131 .16433 1 0 Msboxa [(-10)] .01131 .31225 1 0 Msboxa [(-6)] .01131 .60808 1 0 Msboxa [(dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .46016 m .2619 .46641 L s P [(500)] .2619 .46016 0 2 Mshowa p .002 w .5 .46016 m .5 .46641 L s P [(1000)] .5 .46016 0 2 Mshowa p .002 w .7381 .46016 m .7381 .46641 L s P [(1500)] .7381 .46016 0 2 Mshowa p .002 w .97619 .46016 m .97619 .46641 L s P [(2000)] .97619 .46016 0 2 Mshowa p .001 w .07143 .46016 m .07143 .46391 L s P p .001 w .11905 .46016 m .11905 .46391 L s P p .001 w .16667 .46016 m .16667 .46391 L s P p .001 w .21429 .46016 m .21429 .46391 L s P p .001 w .30952 .46016 m .30952 .46391 L s P p .001 w .35714 .46016 m .35714 .46391 L s P p .001 w .40476 .46016 m .40476 .46391 L s P p .001 w .45238 .46016 m .45238 .46391 L s P p .001 w .54762 .46016 m .54762 .46391 L s P p .001 w .59524 .46016 m .59524 .46391 L s P p .001 w .64286 .46016 m .64286 .46391 L s P p .001 w .69048 .46016 m .69048 .46391 L s P p .001 w .78571 .46016 m .78571 .46391 L s P p .001 w .83333 .46016 m .83333 .46391 L s P p .001 w .88095 .46016 m .88095 .46391 L s P p .001 w .92857 .46016 m .92857 .46391 L s P [( Hz)] 1.025 .46016 -1 0 Mshowa p .002 w 0 .46016 m 1 .46016 L s P [(Response)] .5 .61803 0 -2 0 0 1 Mouter Mrotshowa p .002 w .02381 .01642 m .03006 .01642 L s P [(-14)] .01131 .01642 1 0 Mshowa p .002 w .02381 .16433 m .03006 .16433 L s P [(-12)] .01131 .16433 1 0 Mshowa p .002 w .02381 .31225 m .03006 .31225 L s P [(-10)] .01131 .31225 1 0 Mshowa p .002 w .02381 .60808 m .03006 .60808 L s P [(-6)] .01131 .60808 1 0 Mshowa p .001 w .02381 .046 m .02756 .046 L s P p .001 w .02381 .07559 m .02756 .07559 L s P p .001 w .02381 .10517 m .02756 .10517 L s P p .001 w .02381 .13475 m .02756 .13475 L s P p .001 w .02381 .19392 m .02756 .19392 L s P p .001 w .02381 .2235 m .02756 .2235 L s P p .001 w .02381 .25308 m .02756 .25308 L s P p .001 w .02381 .28267 m .02756 .28267 L s P p .001 w .02381 .34183 m .02756 .34183 L s P p .001 w .02381 .37141 m .02756 .37141 L s P p .001 w .02381 .401 m .02756 .401 L s P p .001 w .02381 .43058 m .02756 .43058 L s P p .001 w .02381 .48975 m .02756 .48975 L s P p .001 w .02381 .51933 m .02756 .51933 L s P p .001 w .02381 .54891 m .02756 .54891 L s P p .001 w .02381 .57849 m .02756 .57849 L s P [(dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02429 .01472 m .02553 .01472 L .02676 .01472 L .028 .01472 L .02924 .01472 L .03172 .01473 L .0342 .01475 L .03916 .01479 L .04412 .01484 L .04907 .01491 L .05403 .01499 L .06395 .0152 L .07386 .01548 L .08378 .01582 L .10361 .01671 L .12344 .01792 L .14327 .0195 L .16311 .02152 L .18294 .02407 L .20277 .02729 L .2226 .03134 L .24243 .03648 L .26226 .04303 L .28209 .05145 L .30192 .06238 L .32176 .07674 L .34159 .09584 L .36142 .12156 L .38125 .15655 L .40108 .20442 L .42091 .26957 L .44074 .35569 L .46058 .46016 L .47049 .51341 L .48041 .56003 L .48536 .57842 L .48784 .58595 L .49032 .59222 L .4928 .59715 L .49404 .59909 L .49528 .60066 L .49652 .60188 L .49776 .60273 L .499 .60321 L .50024 .60332 L .50148 .60307 L .50272 .60245 L .50396 .60149 L .5052 .60017 L .50767 .59653 L Mistroke .51015 .59161 L .51263 .58553 L .51511 .57838 L .52007 .5614 L .5399 .47443 L .55973 .38678 L .57956 .31428 L .59939 .25791 L .61923 .21473 L .63906 .18154 L .65889 .15576 L .67872 .13546 L .69855 .11926 L .71838 .10616 L .73821 .09543 L .77788 .07908 L .81754 .06739 L .8572 .05874 L .89687 .05215 L .93653 .047 L .97619 .0429 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] We can gain more insight about this filter by examining the response in the complex s-plane. This is shown below with the white spots representing the location of the resonance (or greatest response) and the black representing the zeros or lowest response. :[font = input; dontPreserveAspect] gg[x_] := Abs[(MakeContinuousResonance[1000,5] * MakeContinuousAntiResonance[1000,2]) /.s->x] :[font = input; dontPreserveAspect; startGroup] DensityPlot[gg[x + I y],{x,-8000,8000},{y,-8000,8000}, PlotPoints->33]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 0; pictureWidth = 386; pictureHeight = 386; endGroup; endGroup] %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart %% DensityGraphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 6.00962e-05 0.5 6.00962e-05 [ [(-7500)] .04928 0 0 2 Msboxa [(-5000)] .19952 0 0 2 Msboxa [(-2500)] .34976 0 0 2 Msboxa [(0)] .5 0 0 2 Msboxa [(2500)] .65024 0 0 2 Msboxa [(5000)] .80048 0 0 2 Msboxa [(7500)] .95072 0 0 2 Msboxa [(-7500)] -0.0125 .04928 1 0 Msboxa [(-5000)] -0.0125 .19952 1 0 Msboxa [(-2500)] -0.0125 .34976 1 0 Msboxa [(0)] -0.0125 .5 1 0 Msboxa [(2500)] -0.0125 .65024 1 0 Msboxa [(5000)] -0.0125 .80048 1 0 Msboxa [(7500)] -0.0125 .95072 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 1.001 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .04928 0 m .04928 .00625 L s P [(-7500)] .04928 0 0 2 Mshowa p .002 w .19952 0 m .19952 .00625 L s P [(-5000)] .19952 0 0 2 Mshowa p .002 w .34976 0 m .34976 .00625 L s P [(-2500)] .34976 0 0 2 Mshowa p .002 w .5 0 m .5 .00625 L s P [(0)] .5 0 0 2 Mshowa p .002 w .65024 0 m .65024 .00625 L s P [(2500)] .65024 0 0 2 Mshowa p .002 w .80048 0 m .80048 .00625 L s P [(5000)] .80048 0 0 2 Mshowa p .002 w .95072 0 m .95072 .00625 L s P [(7500)] .95072 0 0 2 Mshowa p .001 w .07933 0 m .07933 .00375 L s P p .001 w .10937 0 m .10937 .00375 L s P p .001 w .13942 0 m .13942 .00375 L s P p .001 w .16947 0 m .16947 .00375 L s P p .001 w .22957 0 m .22957 .00375 L s P p .001 w .25962 0 m .25962 .00375 L s P p .001 w .28966 0 m .28966 .00375 L s P p .001 w .31971 0 m .31971 .00375 L s P p .001 w .37981 0 m .37981 .00375 L s P p .001 w .40986 0 m .40986 .00375 L s P p .001 w .4399 0 m .4399 .00375 L s P p .001 w .46995 0 m .46995 .00375 L s P p .001 w .53005 0 m .53005 .00375 L s P p .001 w .5601 0 m .5601 .00375 L s P p .001 w .59014 0 m .59014 .00375 L s P p .001 w .62019 0 m .62019 .00375 L s P p .001 w .68029 0 m .68029 .00375 L s P p .001 w .71034 0 m .71034 .00375 L s P p .001 w .74038 0 m .74038 .00375 L s P p .001 w .77043 0 m .77043 .00375 L s P p .001 w .83053 0 m .83053 .00375 L s P p .001 w .86058 0 m .86058 .00375 L s P p .001 w .89063 0 m .89063 .00375 L s P p .001 w .92067 0 m .92067 .00375 L s P p .001 w .01923 0 m .01923 .00375 L s P p .001 w .98077 0 m .98077 .00375 L s P p .002 w 0 0 m 1 0 L s P p .002 w 0 .04928 m .00625 .04928 L s P [(-7500)] -0.0125 .04928 1 0 Mshowa p .002 w 0 .19952 m .00625 .19952 L s P [(-5000)] -0.0125 .19952 1 0 Mshowa p .002 w 0 .34976 m .00625 .34976 L s P [(-2500)] -0.0125 .34976 1 0 Mshowa p .002 w 0 .5 m .00625 .5 L s P [(0)] -0.0125 .5 1 0 Mshowa p .002 w 0 .65024 m .00625 .65024 L s P [(2500)] -0.0125 .65024 1 0 Mshowa p .002 w 0 .80048 m .00625 .80048 L s P [(5000)] -0.0125 .80048 1 0 Mshowa p .002 w 0 .95072 m .00625 .95072 L s P [(7500)] -0.0125 .95072 1 0 Mshowa p .001 w 0 .07933 m .00375 .07933 L s P p .001 w 0 .10937 m .00375 .10937 L s P p .001 w 0 .13942 m .00375 .13942 L s P p .001 w 0 .16947 m .00375 .16947 L s P p .001 w 0 .22957 m .00375 .22957 L s P p .001 w 0 .25962 m .00375 .25962 L s P p .001 w 0 .28966 m .00375 .28966 L s P p .001 w 0 .31971 m .00375 .31971 L s P p .001 w 0 .37981 m .00375 .37981 L s P p .001 w 0 .40986 m .00375 .40986 L s P p .001 w 0 .4399 m .00375 .4399 L s P p .001 w 0 .46995 m .00375 .46995 L s P p .001 w 0 .53005 m .00375 .53005 L s P p .001 w 0 .5601 m .00375 .5601 L s P p .001 w 0 .59014 m .00375 .59014 L s P p .001 w 0 .62019 m .00375 .62019 L s P p .001 w 0 .68029 m .00375 .68029 L s P p .001 w 0 .71034 m .00375 .71034 L s P p .001 w 0 .74038 m .00375 .74038 L s P p .001 w 0 .77043 m .00375 .77043 L s P p .001 w 0 .83053 m .00375 .83053 L s P p .001 w 0 .86058 m .00375 .86058 L s P p .001 w 0 .89063 m .00375 .89063 L s P p .001 w 0 .92067 m .00375 .92067 L s P p .001 w 0 .01923 m .00375 .01923 L s P p .001 w 0 .98077 m .00375 .98077 L s P p .002 w 0 0 m 0 1 L s P P p p .002 w .04928 .99375 m .04928 1 L s P p .002 w .19952 .99375 m .19952 1 L s P p .002 w .34976 .99375 m .34976 1 L s P p .002 w .5 .99375 m .5 1 L s P p .002 w .65024 .99375 m .65024 1 L s P p .002 w .80048 .99375 m .80048 1 L s P p .002 w .95072 .99375 m .95072 1 L s P p .001 w .07933 .99625 m .07933 1 L s P p .001 w .10937 .99625 m .10937 1 L s P p .001 w .13942 .99625 m .13942 1 L s P p .001 w .16947 .99625 m .16947 1 L s P p .001 w .22957 .99625 m .22957 1 L s P p .001 w .25962 .99625 m .25962 1 L s P p .001 w .28966 .99625 m .28966 1 L s P p .001 w .31971 .99625 m .31971 1 L s P p .001 w .37981 .99625 m .37981 1 L s P p .001 w .40986 .99625 m .40986 1 L s P p .001 w .4399 .99625 m .4399 1 L s P p .001 w .46995 .99625 m .46995 1 L s P p .001 w .53005 .99625 m .53005 1 L s P p .001 w .5601 .99625 m .5601 1 L s P p .001 w .59014 .99625 m .59014 1 L s P p .001 w .62019 .99625 m .62019 1 L s P p .001 w .68029 .99625 m .68029 1 L s P p .001 w .71034 .99625 m .71034 1 L s P p .001 w .74038 .99625 m .74038 1 L s P p .001 w .77043 .99625 m .77043 1 L s P p .001 w .83053 .99625 m .83053 1 L s P p .001 w .86058 .99625 m .86058 1 L s P p .001 w .89063 .99625 m .89063 1 L s P p .001 w .92067 .99625 m .92067 1 L s P p .001 w .01923 .99625 m .01923 1 L s P p .001 w .98077 .99625 m .98077 1 L s P p .002 w 0 1 m 1 1 L s P p .002 w .99375 .04928 m 1 .04928 L s P p .002 w .99375 .19952 m 1 .19952 L s P p .002 w .99375 .34976 m 1 .34976 L s P p .002 w .99375 .5 m 1 .5 L s P p .002 w .99375 .65024 m 1 .65024 L s P p .002 w .99375 .80048 m 1 .80048 L s P p .002 w .99375 .95072 m 1 .95072 L s P p .001 w .99625 .07933 m 1 .07933 L s P p .001 w .99625 .10937 m 1 .10937 L s P p .001 w .99625 .13942 m 1 .13942 L s P p .001 w .99625 .16947 m 1 .16947 L s P p .001 w .99625 .22957 m 1 .22957 L s P p .001 w .99625 .25962 m 1 .25962 L s P p .001 w .99625 .28966 m 1 .28966 L s P p .001 w .99625 .31971 m 1 .31971 L s P p .001 w .99625 .37981 m 1 .37981 L s P p .001 w .99625 .40986 m 1 .40986 L s P p .001 w .99625 .4399 m 1 .4399 L s P p .001 w .99625 .46995 m 1 .46995 L s P p .001 w .99625 .53005 m 1 .53005 L s P p .001 w .99625 .5601 m 1 .5601 L s P p .001 w .99625 .59014 m 1 .59014 L s P p .001 w .99625 .62019 m 1 .62019 L s P p .001 w .99625 .68029 m 1 .68029 L s P p .001 w .99625 .71034 m 1 .71034 L s P p .001 w .99625 .74038 m 1 .74038 L s P p .001 w .99625 .77043 m 1 .77043 L s P p .001 w .99625 .83053 m 1 .83053 L s P p .001 w .99625 .86058 m 1 .86058 L s P p .001 w .99625 .89063 m 1 .89063 L s P p .001 w .99625 .92067 m 1 .92067 L s 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This means that the Apple-I (for a function template) and ?Function features will now work with this notebook. ;[s] 3:0,0;45,1;56,0;255,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) FilterEval::usage = "FilterEval[filter, w] returns the response of a filter at real frequency w."; (* :[font = input; initialization; dontPreserveAspect] *) FilterMag::usage = "FilterMag[filter, w] returns the magnitude of the response of a filter at real frequency w."; (* :[font = input; initialization; dontPreserveAspect] *) FilterPhase::usage = "FilterPhase[filter, w] returns the phase of the response of a filter at real frequency w."; (* :[font = input; initialization; dontPreserveAspect] *) dB::usage = "dB[x] converts a voltage (or current) into decibels."; (* :[font = input; initialization; dontPreserveAspect] *) FilterDb::usage = "FilterDb[filter, w] returns the magnitude of the response of a filter in dB at a frequency w."; (* :[font = input; initialization; dontPreserveAspect] *) AdjustGain::usage = "AdjustGain[filter,w] adjust the gain of a filter so that it has unity gain at the frequency w."; (* :[font = input; initialization; dontPreserveAspect] *) SecondOrderRoot::usage = "SecondOrderRoot[w, q] gives the location on the s-plane of a pole or zero that has a center frequency of w and a quality factor of q. The other root of the second order section is given by the complex conjugate of this root."; (* :[font = input; initialization; dontPreserveAspect] *) Omega1::usage = "Omega1[w, q] gives the frequency of the lower 3dB point of a second order section with center frequency of w and a quality factor of q."; (* :[font = input; initialization; dontPreserveAspect] *) Omega2::usage = "Omega2[w, q] gives the frequency of the upper 3dB point of a second order section with center frequency of w and a quality factor of q."; (* :[font = input; initialization; dontPreserveAspect] *) NaturalResonance::usage = "NaturalResonance[w, q] gives the frequency of the peak (or valley) of the response of a second order filter with frequency w and quality factor q."; (* :[font = input; initialization; dontPreserveAspect] *) ContinuousFreqResponse::usage = "ContinuousFreqResponse[ filter,maxf] shows the frequency response of a continuous filter from DC to the maximum frequency specified."; (* :[font = input; initialization; dontPreserveAspect] *) MakeResonance::usage = "MakeResonance[w,q] designs a second order filter with a peak at frequency w and a quality factor of q."; (* :[font = input; initialization; dontPreserveAspect; endGroup; endGroup] *) MakeAntiResonance::usage = "MakeAntiResonance[w,q] designs a second order filter with a notch at frequency w and a quality factor of q."; (* :[font = subsection; inactive; dontPreserveAspect; startGroup] A.2 - Discrete Time Filter Design :[font = text; inactive; dontPreserveAspect] This section of the notebook describes how to calculate first and second order digital filters. Discrete time filters are described by their response in the z-domain. This section first describes some simple routines for describing polynomials in the z-domain and describes how to design first and second order filters. The frequency response and impulse response of these filters are then shown. :[font = subsubsection; inactive; pageBreak; dontPreserveAspect; startGroup] A.2.1 - Polynomial Evaluation Utilities :[font = text; inactive; dontPreserveAspect] This section of the report defines some Mathematica functions to make it easier to work with filter functions in the Z-domain. These functions allow us to define a new polynomial given a list of its coefficients (MakePoly) , evaluate a polynomial (FilterEval), and find the zeros and roots of ratios of polynomials (RationalZeros and RationalPoles). These function will be used in the next section when the ear filters are defined. ;[s] 11:0,0;40,1;51,0;215,2;223,0;250,2;260,0;318,2;331,0;336,2;349,0;435,-1; 3:6,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0;4,17,12,Geneva,1,12,0,0,0; :[font = text; inactive; dontPreserveAspect] In this notebook polynomials in z will be represented as lists of polynomial coefficients. The coefficients of a polynomial are listed from the initial constant to the coefficient multiplying the highest power. All coefficients past the end of the list are defined to be zero. The PolyCoeff function is used to pick out the n'th coefficient of a polynomial. ;[s] 7:0,0;32,1;33,0;284,1;293,0;327,1;328,0;363,-1; 2:4,17,12,Geneva,0,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) PolyCoeff[coeffs_, n_] := If [ n < Length[coeffs], coeffs[[n+1]], 0] (* :[font = text; inactive; dontPreserveAspect] Given a list of coefficients, MakePoly returns a Mathematica expression that represents the polynomial. The use of z for the polynomial variable is arbitrary and was chosen to make the polynomials look good when printed. ;[s] 7:0,0;30,2;38,0;49,1;60,0;117,2;118,0;225,-1; 3:4,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) MakePoly[coeffs_List] := Block[{i}, PolyCoeff[coeffs,0] + Sum[PolyCoeff[coeffs,i] z^i, { i, 1, Length[coeffs]}]] (* :[font = text; inactive; dontPreserveAspect] FilterEval will return the value of a polynomial at a given point by substituting the desired value into the polynomial. Note, this function will work on all z-transforms. :[font = input; initialization; dontPreserveAspect] *) FilterEval[poly_, x_] := (poly)/. z->x (* :[font = text; inactive; dontPreserveAspect] For example the following is a third order polynomial and the result of evaluating it at z=1. ;[s] 3:0,0;89,1;92,0;94,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] poly = MakePoly[{1,4,2,1}] :[font = output; output; inactive; dontPreserveAspect; endGroup] 1 + 4*z + 2*z^2 + z^3 ;[o] 2 3 1 + 4 z + 2 z + z :[font = input; dontPreserveAspect; startGroup] FilterEval[poly,1] :[font = output; output; inactive; dontPreserveAspect; endGroup] 8 ;[o] 8 :[font = text; inactive; dontPreserveAspect] Likewise we can define a rational function by writing the ratio of two MakePoly's and then evaluate it using FilterEval. ;[s] 5:0,0;71,1;79,0;109,1;119,0;121,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] rat = MakePoly[{1,-1,-1,1}] / MakePoly[{3,2,1}] :[font = output; output; inactive; dontPreserveAspect; endGroup] (1 - z - z^2 + z^3)/(3 + 2*z + z^2) ;[o] 2 3 1 - z - z + z --------------- 2 3 + 2 z + z :[font = input; dontPreserveAspect; startGroup] FilterEval[rat,2] :[font = output; output; inactive; dontPreserveAspect; endGroup] 3/11 ;[o] 3 -- 11 :[font = text; inactive; dontPreserveAspect] Finally we define two functions, RationalPoles and RationalZeros, that return a list of the poles and zeros of a rational function. The function GetSolution is used to pick apart the stylized expression that Mathematica uses to show the roots of an equation. ;[s] 9:0,0;33,2;46,0;51,2;64,0;146,2;157,0;209,1;220,0;260,-1; 3:5,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) GetSolution[x_] := If [ x == {}, {}, x[[1]][[2]]] (* :[font = input; initialization; dontPreserveAspect] *) RationalPoles[rat_] := Block[{roots}, roots = Solve[FilterEval[Denominator[rat],x] == 0,x]; Map[GetSolution, roots]] (* :[font = input; initialization; dontPreserveAspect] *) RationalZeros[rat_] := Block[{roots}, roots = Solve[FilterEval[Numerator[rat],x] == 0,x]; Map[GetSolution, roots]] (* :[font = text; inactive; dontPreserveAspect] Using the previously defined rational polynomial (rat), we can find the poles and zeros of this filter: ;[s] 3:0,0;50,1;53,0;104,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] RationalPoles[rat] :[font = output; output; inactive; dontPreserveAspect; endGroup] {(-2 - 2*I*2^(1/2))/2, (-2 + 2*I*2^(1/2))/2} ;[o] -2 - 2 I Sqrt[2] -2 + 2 I Sqrt[2] {----------------, ----------------} 2 2 :[font = input; dontPreserveAspect; startGroup] RationalZeros[rat] :[font = output; output; inactive; dontPreserveAspect; endGroup; endGroup] {-1, 1, 1} ;[o] {-1, 1, 1} :[font = subsubsection; inactive; initialization; dontPreserveAspect; startGroup] A.2.2 - The Filter Design Equations :[font = text; inactive; dontPreserveAspect] This section describes some general first and second order filter design functions. We will use these functions later to define the filters used in the ear model. :[font = text; inactive; dontPreserveAspect] A one pole (first-order lowpass) filter is defined by the following transfer function (in the z domain): ;[s] 3:0,0;94,1;95,0;105,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] 1 / MakePoly[{-epsilon,1}] :[font = output; output; inactive; dontPreserveAspect; endGroup] (-epsilon + z)^(-1) ;[o] 1 ------------ -epsilon + z :[font = text; inactive; dontPreserveAspect] This filter will have a time constant of tau if epsilon is given by ;[s] 5:0,0;41,1;44,0;48,1;55,0;68,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) EpsilonFromTauFS[tau_, fs_] := E^(-1 / tau / fs) (* :[font = text; inactive; dontPreserveAspect] Note that epsilon is a function of not only the time constant (tau) but also the sampling frequency (fs) of the digital filter. A first-order filter with time constant tau is given by (high pass in this case): ;[s] 9:0,0;10,1;17,0;63,1;66,0;101,1;103,0;169,1;172,0;211,-1; 2:5,17,12,Geneva,0,12,0,0,0;4,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) FirstOrderFromTau[tau_, fs_] := MakePoly[{-EpsilonFromTauFS[tau, fs],1}] (* :[font = text; inactive; dontPreserveAspect] A first order filter with a time constant (tau) of 1ms is given by ;[s] 3:0,0;43,1;46,0;67,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] fo = FirstOrderFromTau[0.001, 16000] :[font = output; output; inactive; dontPreserveAspect; endGroup] -0.939413062813476 + z ;[o] -0.939413 + z :[font = input; dontPreserveAspect; startGroup] ListPlot[FindImpulseResponse[1/fo,32]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica 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.79762 .01472 m .79762 .01847 L s P p .001 w .82738 .01472 m .82738 .01847 L s P p .001 w .85714 .01472 m .85714 .01847 L s P p .001 w .8869 .01472 m .8869 .01847 L s P p .001 w .94643 .01472 m .94643 .01847 L s P p .001 w .97619 .01472 m .97619 .01847 L s P p .002 w 0 .01472 m 1 .01472 L s P p .002 w .02381 .13244 m .03006 .13244 L s P [(0.2)] .01131 .13244 1 0 Mshowa p .002 w .02381 .25016 m .03006 .25016 L s P [(0.4)] .01131 .25016 1 0 Mshowa p .002 w .02381 .36788 m .03006 .36788 L s P [(0.6)] .01131 .36788 1 0 Mshowa p .002 w .02381 .4856 m .03006 .4856 L s P [(0.8)] .01131 .4856 1 0 Mshowa p .002 w .02381 .60332 m .03006 .60332 L s P [(1)] .01131 .60332 1 0 Mshowa p .001 w .02381 .03826 m .02756 .03826 L s P p .001 w .02381 .0618 m .02756 .0618 L s P p .001 w .02381 .08535 m .02756 .08535 L s P p .001 w .02381 .10889 m .02756 .10889 L s P p .001 w .02381 .15598 m .02756 .15598 L s P p .001 w .02381 .17952 m .02756 .17952 L s P p .001 w .02381 .20307 m .02756 .20307 L s P p .001 w .02381 .22661 m .02756 .22661 L s P p .001 w .02381 .2737 m .02756 .2737 L s P p .001 w .02381 .29724 m .02756 .29724 L s P p .001 w .02381 .32079 m .02756 .32079 L s P p .001 w .02381 .34433 m .02756 .34433 L s P p .001 w .02381 .39142 m .02756 .39142 L s P p .001 w .02381 .41497 m .02756 .41497 L s P p .001 w .02381 .43851 m .02756 .43851 L s P p .001 w .02381 .46205 m .02756 .46205 L s P p .001 w .02381 .50914 m .02756 .50914 L s P p .001 w .02381 .53269 m .02756 .53269 L s P p .001 w .02381 .55623 m .02756 .55623 L s P p .001 w .02381 .57977 m .02756 .57977 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p .008 w .05357 .01472 Mdot .08333 .60332 Mdot .1131 .56766 Mdot .14286 .53416 Mdot .17262 .50268 Mdot .20238 .47312 Mdot .23214 .44535 Mdot .2619 .41926 Mdot .29167 .39475 Mdot .32143 .37172 Mdot .35119 .35009 Mdot .38095 .32977 Mdot .41071 .31068 Mdot .44048 .29275 Mdot .47024 .27591 Mdot .5 .26008 Mdot .52976 .24522 Mdot .55952 .23125 Mdot .58929 .21813 Mdot .61905 .20581 Mdot .64881 .19423 Mdot .67857 .18335 Mdot .70833 .17314 Mdot .7381 .16354 Mdot .76786 .15452 Mdot .79762 .14605 Mdot .82738 .13809 Mdot .85714 .13062 Mdot .8869 .1236 Mdot .91667 .117 Mdot .94643 .1108 Mdot .97619 .10498 Mdot P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] Likewise, a first-order filter with a corner frequency of f is described by : ;[s] 3:0,0;58,1;59,0;78,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) FirstOrderFromCorner[f_, fs_] := MakePoly[{1,-E^(-2 Pi f / fs)}] (* :[font = text; inactive; dontPreserveAspect] A second order filter is defined by its center frequency (f), quality factor (q) and sampling frequency (fs): ;[s] 7:0,0;58,1;59,0;78,1;79,0;105,1;107,0;110,-1; 2:4,17,12,Geneva,0,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) SecondOrderFromCenterQ[f_, q_, fs_] := Block[{cft, rho, theta}, cft := f/fs; rho := E^(-Pi cft / q); theta := 2 Pi cft Sqrt[1 - 1/(4 q ^ 2)]; MakePoly[{rho^2, -2 rho Cos[theta], 1}]] (* :[font = text; inactive; dontPreserveAspect] The function FilterGain evaluates the filter transfer function (z transform) at the frequency f by making the substitution z -> E ^ ( I 2 Pi f / fs ) where fs is the sampling interval. ;[s] 11:0,0;13,1;23,0;64,1;65,0;94,1;95,0;143,1;169,0;176,1;178,0;205,-1; 2:6,17,12,Geneva,0,12,0,0,0;5,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) FilterGain[filter_,f_,fs_] := FilterEval[filter,E^(I 2 Pi f / fs)] (* :[font = text; inactive; dontPreserveAspect] Likewise the functions FilterMag, FilterPhase and FilterDb compute the magnitude, phase and gain in dB of a digital filter. ;[s] 7:0,0;23,1;32,0;33,1;45,0;50,1;58,0;124,-1; 2:4,17,12,Geneva,0,12,0,0,0;3,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) FilterMag[filter_,f_,fs_] := Abs[FilterGain[filter,f,fs]] (* :[font = input; initialization; dontPreserveAspect] *) FilterPhase[filter_,f_,fs_] := Arg[FilterGain[filter,f,fs]] (* :[font = input; initialization; dontPreserveAspect] *) FilterDb[filter_,f_,fs_] := Db[FilterMag[filter,f,fs]] (* :[font = text; inactive; dontPreserveAspect] The function AdjustGain adjusts the gain of a filter so that it has unit gain at any desired frequency. ;[s] 3:0,0;13,1;23,0;104,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) AdjustGain[filter_,f_,fs_] := filter/FilterGain[filter,f,fs] (* :[font = text; inactive; dontPreserveAspect] We define the MakeFilter function to design a filter with a given feedback (poles) and feedforward (zeros) response. The resulting filter is just the ratio of the two polynomials. In addition a frequency and gain are specified so that the resulting filter can be normalized to have any desired gain at a specified frequency. ;[s] 11:0,0;14,1;24,0;196,1;205,0;210,1;214,0;296,1;300,0;316,1;325,0;329,-1; 2:6,17,12,Geneva,0,12,0,0,0;5,17,12,Geneva,1,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) MakeFilter[forward_, feedback_, fs_, f_, gain_] := gain AdjustGain[forward/feedback,f,fs] (* :[font = text; inactive; dontPreserveAspect] The frequency response of a filter can be plotted in Mathematica using the following function. ;[s] 3:0,0;53,1;64,0;96,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = input; initialization; dontPreserveAspect] *) FreqResponse[coeffs_, fs_] := Block[{function,f}, function = N[dB[Abs[FilterGain[coeffs,f,fs]]]]; Plot[function, {f,1,fs/2-fs/1000}, AxesLabel->{" f","Response in dB"}]] (* :[font = text; inactive; dontPreserveAspect] For example we can define a first order low pass filter with a 3dB point at 1000Hz (the frequency response would look better with a logarithmic frequency scale): :[font = input; dontPreserveAspect; startGroup] first = MakeFilter[1,FirstOrderFromCorner[1000,16000], 16000,0,1]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] 0.3247680933442227/(1. - 0.6752319066557773*z) ;[o] 0.324768 --------------- 1. - 0.675232 z :[font = input; dontPreserveAspect; startGroup] FreqResponse[first,16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.603319 0.0413056 [ [(2000)] .26238 .60332 0 2 Msboxa [(4000)] .50095 .60332 0 2 Msboxa [(6000)] .73953 .60332 0 2 Msboxa [(8000)] .9781 .60332 0 2 Msboxa [( f)] 1.025 .60332 -1 0 Msboxa [(-14)] .01131 .02504 1 0 Msboxa [(-12)] .01131 .10765 1 0 Msboxa [(-10)] .01131 .19026 1 0 Msboxa [(-8)] .01131 .27287 1 0 Msboxa [(-6)] .01131 .35549 1 0 Msboxa [(-4)] .01131 .4381 1 0 Msboxa [(-2)] .01131 .52071 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .60332 m .26238 .60957 L s P [(2000)] .26238 .60332 0 2 Mshowa p .002 w .50095 .60332 m .50095 .60957 L s P [(4000)] .50095 .60332 0 2 Mshowa p .002 w .73953 .60332 m .73953 .60957 L s P [(6000)] .73953 .60332 0 2 Mshowa p .002 w .9781 .60332 m .9781 .60957 L s P [(8000)] .9781 .60332 0 2 Mshowa p .001 w .07152 .60332 m .07152 .60707 L s P p .001 w .11924 .60332 m .11924 .60707 L s P p .001 w .16695 .60332 m .16695 .60707 L s P p .001 w .21467 .60332 m .21467 .60707 L s P p .001 w .3101 .60332 m .3101 .60707 L s P p .001 w .35781 .60332 m .35781 .60707 L s P p .001 w .40553 .60332 m .40553 .60707 L s P p .001 w .45324 .60332 m .45324 .60707 L s P p .001 w .54867 .60332 m .54867 .60707 L s P p .001 w .59638 .60332 m .59638 .60707 L s P p .001 w .6441 .60332 m .6441 .60707 L s P p .001 w .69181 .60332 m .69181 .60707 L s P p .001 w .78724 .60332 m .78724 .60707 L s P p .001 w .83496 .60332 m .83496 .60707 L s P p .001 w .88267 .60332 m .88267 .60707 L s P p .001 w .93038 .60332 m .93038 .60707 L s P [( f)] 1.025 .60332 -1 0 Mshowa p .002 w 0 .60332 m 1 .60332 L s P p .002 w .02381 .02504 m .03006 .02504 L s P [(-14)] .01131 .02504 1 0 Mshowa p .002 w .02381 .10765 m .03006 .10765 L s P [(-12)] .01131 .10765 1 0 Mshowa p .002 w .02381 .19026 m .03006 .19026 L s P [(-10)] .01131 .19026 1 0 Mshowa p .002 w .02381 .27287 m .03006 .27287 L s P [(-8)] .01131 .27287 1 0 Mshowa p .002 w .02381 .35549 m .03006 .35549 L s P [(-6)] .01131 .35549 1 0 Mshowa p .002 w .02381 .4381 m .03006 .4381 L s P [(-4)] .01131 .4381 1 0 Mshowa p .002 w .02381 .52071 m .03006 .52071 L s P [(-2)] .01131 .52071 1 0 Mshowa p .001 w .02381 .04156 m .02756 .04156 L s P p .001 w .02381 .05809 m .02756 .05809 L s P p .001 w .02381 .07461 m .02756 .07461 L s P p .001 w .02381 .09113 m .02756 .09113 L s P p .001 w .02381 .12417 m .02756 .12417 L s P p .001 w .02381 .1407 m .02756 .1407 L s P p .001 w .02381 .15722 m .02756 .15722 L s P p .001 w .02381 .17374 m .02756 .17374 L s P p .001 w .02381 .20679 m .02756 .20679 L s P p .001 w .02381 .22331 m .02756 .22331 L s P p .001 w .02381 .23983 m .02756 .23983 L s P p .001 w .02381 .25635 m .02756 .25635 L s P p .001 w .02381 .2894 m .02756 .2894 L s P p .001 w .02381 .30592 m .02756 .30592 L s P p .001 w .02381 .32244 m .02756 .32244 L s P p .001 w .02381 .33896 m .02756 .33896 L s P p .001 w .02381 .37201 m .02756 .37201 L s P p .001 w .02381 .38853 m .02756 .38853 L s P p .001 w .02381 .40505 m .02756 .40505 L s P p .001 w .02381 .42157 m .02756 .42157 L s P p .001 w .02381 .45462 m .02756 .45462 L s P p .001 w .02381 .47114 m .02756 .47114 L s P p .001 w .02381 .48766 m .02756 .48766 L s P p .001 w .02381 .50419 m .02756 .50419 L s P p .001 w .02381 .53723 m .02756 .53723 L s P p .001 w .02381 .55375 m .02756 .55375 L s P p .001 w .02381 .57027 m .02756 .57027 L s P p .001 w .02381 .5868 m .02756 .5868 L s P p .001 w .02381 .00852 m .02756 .00852 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .60332 m .02517 .6033 L .02641 .60323 L .02765 .60314 L .02889 .603 L .03137 .60261 L .03385 .60207 L .03881 .60054 L .04377 .59843 L .05369 .59255 L .06361 .58464 L .08345 .56387 L .10328 .53844 L .14296 .48146 L .18264 .42443 L .22232 .37165 L .26199 .32424 L .30167 .28209 L .34135 .24473 L .38103 .21159 L .4207 .18219 L .46038 .15609 L .50006 .13293 L .53974 .11241 L .57941 .09429 L .61909 .07837 L .65877 .06449 L .69845 .0525 L .73813 .04229 L .7778 .03379 L .81748 .02691 L .85716 .0216 L .877 .01951 L .89684 .01781 L .91667 .01648 L .92659 .01596 L .93651 .01552 L .94643 .01518 L .95139 .01505 L .95635 .01493 L .96131 .01485 L .96379 .01481 L .96627 .01478 L .96875 .01475 L .96999 .01474 L .97123 .01474 L .97247 .01473 L .97371 .01472 L .97495 .01472 L .97619 .01472 L Mistroke Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] The gain at the corner frequency is given by the following Mathematica expression: ;[s] 3:0,0;59,1;70,0;83,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,2,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] 20 Log[ 10, Abs[N[FilterGain[first,1000,16000]]]] :[font = output; output; inactive; dontPreserveAspect; endGroup] -2.954847001152013 ;[o] -2.95485 :[font = text; inactive; dontPreserveAspect] A second order bandpass filter with center frequency 3000 and a Q of 10 is given by ;[s] 3:0,0;64,1;65,0;85,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] second = MakeFilter[1, SecondOrderFromCenterQ[3000,10,16000], 16000,3000,1]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] (-0.0953623541908352 + 0.03807813519778747*I)/ (0.888865165780365 - 0.7241513881904153*z + z^2) ;[o] -0.0953624 + 0.0380781 I -------------------------- 2 0.888865 - 0.724151 z + z :[font = input; dontPreserveAspect; startGroup] FreqResponse[second,16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.603193 0.0209328 [ [(2000)] .26238 .60319 0 2 Msboxa [(4000)] .50095 .60319 0 2 Msboxa [(6000)] .73953 .60319 0 2 Msboxa [(8000)] .9781 .60319 0 2 Msboxa [( f)] 1.025 .60319 -1 0 Msboxa [(-25)] .01131 .07987 1 0 Msboxa [(-20)] .01131 .18454 1 0 Msboxa [(-15)] .01131 .2892 1 0 Msboxa [(-10)] .01131 .39386 1 0 Msboxa [(-5)] .01131 .49853 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .60319 m .26238 .60944 L s P [(2000)] .26238 .60319 0 2 Mshowa p .002 w .50095 .60319 m .50095 .60944 L s P [(4000)] .50095 .60319 0 2 Mshowa p .002 w .73953 .60319 m .73953 .60944 L s P [(6000)] .73953 .60319 0 2 Mshowa p .002 w .9781 .60319 m .9781 .60944 L s P [(8000)] .9781 .60319 0 2 Mshowa p .001 w .07152 .60319 m .07152 .60694 L s P p .001 w .11924 .60319 m .11924 .60694 L s P p .001 w .16695 .60319 m .16695 .60694 L s P p .001 w .21467 .60319 m .21467 .60694 L s P p .001 w .3101 .60319 m .3101 .60694 L s P p .001 w .35781 .60319 m .35781 .60694 L s P p .001 w .40553 .60319 m .40553 .60694 L s P p .001 w .45324 .60319 m .45324 .60694 L s P p .001 w .54867 .60319 m .54867 .60694 L s P p .001 w .59638 .60319 m .59638 .60694 L s P p .001 w .6441 .60319 m .6441 .60694 L s P p .001 w .69181 .60319 m .69181 .60694 L s P p .001 w .78724 .60319 m .78724 .60694 L s P p .001 w .83496 .60319 m .83496 .60694 L s P p .001 w .88267 .60319 m .88267 .60694 L s P p .001 w .93038 .60319 m .93038 .60694 L s P [( f)] 1.025 .60319 -1 0 Mshowa p .002 w 0 .60319 m 1 .60319 L s P p .002 w .02381 .07987 m .03006 .07987 L s P [(-25)] .01131 .07987 1 0 Mshowa p .002 w .02381 .18454 m .03006 .18454 L s P [(-20)] .01131 .18454 1 0 Mshowa p .002 w .02381 .2892 m .03006 .2892 L s P [(-15)] .01131 .2892 1 0 Mshowa p .002 w .02381 .39386 m .03006 .39386 L s P [(-10)] .01131 .39386 1 0 Mshowa p .002 w .02381 .49853 m .03006 .49853 L s P [(-5)] .01131 .49853 1 0 Mshowa p .001 w .02381 .10081 m .02756 .10081 L s P p .001 w .02381 .12174 m .02756 .12174 L s P p .001 w .02381 .14267 m .02756 .14267 L s P p .001 w .02381 .1636 m .02756 .1636 L s P p .001 w .02381 .20547 m .02756 .20547 L s P p .001 w .02381 .2264 m .02756 .2264 L s P p .001 w .02381 .24734 m .02756 .24734 L s P p .001 w .02381 .26827 m .02756 .26827 L s P p .001 w .02381 .31013 m .02756 .31013 L s P p .001 w .02381 .33107 m .02756 .33107 L s P p .001 w .02381 .352 m .02756 .352 L s P p .001 w .02381 .37293 m .02756 .37293 L s P p .001 w .02381 .4148 m .02756 .4148 L s P p .001 w .02381 .43573 m .02756 .43573 L s P p .001 w .02381 .45666 m .02756 .45666 L s P p .001 w .02381 .4776 m .02756 .4776 L s P p .001 w .02381 .51946 m .02756 .51946 L s P p .001 w .02381 .54039 m .02756 .54039 L s P p .001 w .02381 .56133 m .02756 .56133 L s P p .001 w .02381 .58226 m .02756 .58226 L s P p .001 w .02381 .05894 m .02756 .05894 L s P p .001 w .02381 .03801 m .02756 .03801 L s P p .001 w .02381 .01707 m .02756 .01707 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .16163 m .02517 .16163 L .02641 .16164 L .02765 .16165 L .02889 .16167 L .03137 .16172 L .03385 .16179 L .03633 .16188 L .03881 .16199 L .04377 .16226 L .04873 .16262 L .05369 .16305 L .06361 .16416 L .07353 .16559 L .08345 .16735 L .10328 .17189 L .12312 .17786 L .14296 .18537 L .1628 .19458 L .18264 .2057 L .20248 .219 L .22232 .23488 L .24216 .25389 L .26199 .2768 L .28183 .30482 L .30167 .33986 L .32151 .38516 L .34135 .4465 L .36119 .53209 L .36615 .55651 L .37111 .5794 L .37359 .58908 L .37483 .59319 L .37607 .59671 L .37731 .59955 L .37855 .60163 L .37979 .6029 L .38103 .60332 L .38227 .60287 L .38351 .60155 L .38475 .59941 L .38599 .59649 L .38847 .58862 L .39095 .5786 L .40087 .5291 L .4207 .43808 L .44054 .37136 L .46038 .32081 L .50006 .24729 L .53974 .19471 L Mistroke .57941 .15448 L .61909 .12254 L .65877 .09668 L .69845 .07558 L .73813 .05838 L .7778 .04451 L .81748 .03356 L .83732 .0291 L .85716 .02527 L .877 .02205 L .89684 .01944 L .91667 .0174 L .92659 .0166 L .93651 .01594 L .94643 .01543 L .95139 .01522 L .95635 .01505 L .96131 .01491 L .96379 .01486 L .96627 .01481 L .96875 .01477 L .96999 .01476 L .97123 .01475 L .97247 .01474 L .97371 .01473 L .97495 .01472 L .97619 .01472 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] A less peaky response is possible using a lower Q. ;[s] 3:0,0;48,1;49,0;51,-1; 2:2,17,12,Geneva,0,12,0,0,0;1,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] second = MakeFilter[1, SecondOrderFromCenterQ[3000,2,16000], 16000,3000,1]//N :[font = output; output; inactive; dontPreserveAspect; endGroup] (-0.3899707380427474 + 0.1332026684044253*I)/ (0.5548549101598535 - 0.6211893353910956*z + z^2) ;[o] -0.389971 + 0.133203 I -------------------------- 2 0.554855 - 0.621189 z + z :[font = input; dontPreserveAspect; startGroup] FreqResponse[second,16000]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.596906 0.0402807 [ [(2000)] .26238 .59691 0 2 Msboxa [(4000)] .50095 .59691 0 2 Msboxa [(6000)] .73953 .59691 0 2 Msboxa [(8000)] .9781 .59691 0 2 Msboxa [( f)] 1.025 .59691 -1 0 Msboxa [(-14)] .01131 .03298 1 0 Msboxa [(-12)] .01131 .11354 1 0 Msboxa [(-10)] .01131 .1941 1 0 Msboxa [(-8)] .01131 .27466 1 0 Msboxa [(-6)] .01131 .35522 1 0 Msboxa [(-4)] .01131 .43578 1 0 Msboxa [(-2)] .01131 .51634 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .59691 m .26238 .60316 L s P [(2000)] .26238 .59691 0 2 Mshowa p .002 w .50095 .59691 m .50095 .60316 L s P [(4000)] .50095 .59691 0 2 Mshowa p .002 w .73953 .59691 m .73953 .60316 L s P [(6000)] .73953 .59691 0 2 Mshowa p .002 w .9781 .59691 m .9781 .60316 L s P [(8000)] .9781 .59691 0 2 Mshowa p .001 w .07152 .59691 m .07152 .60066 L s P p .001 w .11924 .59691 m .11924 .60066 L s P p .001 w .16695 .59691 m .16695 .60066 L s P p .001 w .21467 .59691 m .21467 .60066 L s P p .001 w .3101 .59691 m .3101 .60066 L s P p .001 w .35781 .59691 m .35781 .60066 L s P p .001 w .40553 .59691 m .40553 .60066 L s P p .001 w .45324 .59691 m .45324 .60066 L s P p .001 w .54867 .59691 m .54867 .60066 L s P p .001 w .59638 .59691 m .59638 .60066 L s P p .001 w .6441 .59691 m .6441 .60066 L s P p .001 w .69181 .59691 m .69181 .60066 L s P p .001 w .78724 .59691 m .78724 .60066 L s P p .001 w .83496 .59691 m .83496 .60066 L s P p .001 w .88267 .59691 m .88267 .60066 L s P p .001 w .93038 .59691 m .93038 .60066 L s P [( f)] 1.025 .59691 -1 0 Mshowa p .002 w 0 .59691 m 1 .59691 L s P p .002 w .02381 .03298 m .03006 .03298 L s P [(-14)] .01131 .03298 1 0 Mshowa p .002 w .02381 .11354 m .03006 .11354 L s P [(-12)] .01131 .11354 1 0 Mshowa p .002 w .02381 .1941 m .03006 .1941 L s P [(-10)] .01131 .1941 1 0 Mshowa p .002 w .02381 .27466 m .03006 .27466 L s P [(-8)] .01131 .27466 1 0 Mshowa p .002 w .02381 .35522 m .03006 .35522 L s P [(-6)] .01131 .35522 1 0 Mshowa p .002 w .02381 .43578 m .03006 .43578 L s P [(-4)] .01131 .43578 1 0 Mshowa p .002 w .02381 .51634 m .03006 .51634 L s P [(-2)] .01131 .51634 1 0 Mshowa p .001 w .02381 .04909 m .02756 .04909 L s P p .001 w .02381 .0652 m .02756 .0652 L s P p .001 w .02381 .08131 m .02756 .08131 L s P p .001 w .02381 .09743 m .02756 .09743 L s P p .001 w .02381 .12965 m .02756 .12965 L s P p .001 w .02381 .14576 m .02756 .14576 L s P p .001 w .02381 .16187 m .02756 .16187 L s P p .001 w .02381 .17799 m .02756 .17799 L s P p .001 w .02381 .21021 m .02756 .21021 L s P p .001 w .02381 .22632 m .02756 .22632 L s P p .001 w .02381 .24244 m .02756 .24244 L s P p .001 w .02381 .25855 m .02756 .25855 L s P p .001 w .02381 .29077 m .02756 .29077 L s P p .001 w .02381 .30689 m .02756 .30689 L s P p .001 w .02381 .323 m .02756 .323 L s P p .001 w .02381 .33911 m .02756 .33911 L s P p .001 w .02381 .37133 m .02756 .37133 L s P p .001 w .02381 .38745 m .02756 .38745 L s P p .001 w .02381 .40356 m .02756 .40356 L s P p .001 w .02381 .41967 m .02756 .41967 L s P p .001 w .02381 .4519 m .02756 .4519 L s P p .001 w .02381 .46801 m .02756 .46801 L s P p .001 w .02381 .48412 m .02756 .48412 L s P p .001 w .02381 .50023 m .02756 .50023 L s P p .001 w .02381 .53246 m .02756 .53246 L s P p .001 w .02381 .54857 m .02756 .54857 L s P p .001 w .02381 .56468 m .02756 .56468 L s P p .001 w .02381 .58079 m .02756 .58079 L s P p .001 w .02381 .01686 m .02756 .01686 L s P p .001 w .02381 .00075 m .02756 .00075 L s P p .001 w .02381 .61302 m .02756 .61302 L s P [(Response in dB)] .02381 .61803 0 -4 Mshowa p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath p p .004 w .02393 .31075 m .02517 .31076 L .02641 .31077 L .02765 .31079 L .02889 .31082 L .03137 .31091 L .03385 .31103 L .03633 .31118 L .03881 .31137 L .04377 .31184 L .04873 .31245 L .05369 .31319 L .06361 .31509 L .07353 .31753 L .08345 .32052 L .10328 .3282 L .12312 .3382 L .14296 .35061 L .18264 .38313 L .22232 .42667 L .26199 .48127 L .30167 .54269 L .32151 .57127 L .33143 .58338 L .33639 .58861 L .34135 .59317 L .34631 .59698 L .34879 .59857 L .35127 .59995 L .35375 .60111 L .35623 .60203 L .35747 .6024 L .35871 .60271 L .35995 .60295 L .36119 .60314 L .36243 .60326 L .36367 .60332 L .36491 .60331 L .36615 .60324 L .36739 .60311 L .36863 .60291 L .36987 .60265 L .37111 .60232 L .37359 .60147 L .37607 .60036 L .38103 .59737 L .38599 .59338 L .39095 .58845 L .40087 .57602 L .4207 .54312 L Mistroke .46038 .4625 L .50006 .38253 L .53974 .31191 L .57941 .25163 L .61909 .20067 L .65877 .15777 L .69845 .12185 L .73813 .09206 L .7778 .06773 L .81748 .04836 L .85716 .0336 L .877 .02786 L .89684 .02318 L .91667 .01954 L .92659 .0181 L .93651 .01692 L .94643 .01599 L .95139 .01562 L .95635 .01531 L .96131 .01507 L .96379 .01497 L .96627 .01489 L .96875 .01482 L .96999 .01479 L .97123 .01477 L .97247 .01475 L .97371 .01474 L .97495 .01472 L .97619 .01472 L Mfstroke P P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] The poles and zeros in the complex z-plane of a stable discrete time filter are inside the unit circle. In general the resonant frequency of the root is proportional to the angle of the root from the positive real axis. Roots that are close to the unit circle will have a high q. The plot below shows the roots of a second order section with resonant frequency of 1000Hz and a sampling frequency of 16000Hz as the q varies from .5 to 2.2. ;[s] 5:0,0;279,1;280,0;417,1;418,0;442,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; dontPreserveAspect; startGroup] ListPlot[Map[{Re[#],Im[#]}&, Flatten[Table[ RationalZeros[ N[SecondOrderFromCenterQ[1000,q,16000]]], {q,.501,2.2,.1}]]], PlotRange->{{-1,1},{-1,1}}, AspectRatio->1, PlotLabel->"Location of Roots vs. Q (Complex Z-Plane)"]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 279; endGroup; endGroup] %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.5 0.5 0.5 [ [(-1)] 0 .5 0 2 Msboxa [(-0.75)] .125 .5 0 2 Msboxa [(-0.5)] .25 .5 0 2 Msboxa [(-0.25)] .375 .5 0 2 Msboxa [(0.25)] .625 .5 0 2 Msboxa [(0.5)] .75 .5 0 2 Msboxa [(0.75)] .875 .5 0 2 Msboxa [(1)] 1 .5 0 2 Msboxa [(Location of Roots vs. Q \(Complex Z-Plane\))] .5 1 0 -2 Msboxa [(-1)] .4875 0 1 0 Msboxa [(-0.75)] .4875 .125 1 0 Msboxa [(-0.5)] .4875 .25 1 0 Msboxa [(-0.25)] .4875 .375 1 0 Msboxa [(0.25)] .4875 .625 1 0 Msboxa [(0.5)] .4875 .75 1 0 Msboxa [(0.75)] .4875 .875 1 0 Msboxa [(1)] .4875 1 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 1.001 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w 0 .5 m 0 .50625 L s P [(-1)] 0 .5 0 2 Mshowa p .002 w .125 .5 m .125 .50625 L s P [(-0.75)] .125 .5 0 2 Mshowa p .002 w .25 .5 m .25 .50625 L s P [(-0.5)] .25 .5 0 2 Mshowa p .002 w .375 .5 m .375 .50625 L s P [(-0.25)] .375 .5 0 2 Mshowa p .002 w .625 .5 m .625 .50625 L s P [(0.25)] .625 .5 0 2 Mshowa p .002 w .75 .5 m .75 .50625 L s P [(0.5)] .75 .5 0 2 Mshowa p .002 w .875 .5 m .875 .50625 L s P [(0.75)] .875 .5 0 2 Mshowa p .002 w 1 .5 m 1 .50625 L s P [(1)] 1 .5 0 2 Mshowa p .001 w .025 .5 m .025 .50375 L s P p .001 w .05 .5 m .05 .50375 L s P p .001 w .075 .5 m .075 .50375 L s P p .001 w .1 .5 m .1 .50375 L s P p .001 w .15 .5 m .15 .50375 L s P p .001 w .175 .5 m .175 .50375 L s P p .001 w .2 .5 m .2 .50375 L s P p .001 w .225 .5 m .225 .50375 L s P p .001 w .275 .5 m .275 .50375 L s P p .001 w .3 .5 m .3 .50375 L s P p .001 w .325 .5 m .325 .50375 L s P p .001 w .35 .5 m .35 .50375 L s P p .001 w .4 .5 m .4 .50375 L s P p .001 w .425 .5 m .425 .50375 L s P p .001 w .45 .5 m .45 .50375 L s P p .001 w .475 .5 m .475 .50375 L s P p .001 w .525 .5 m .525 .50375 L s P p .001 w .55 .5 m .55 .50375 L s P p .001 w .575 .5 m .575 .50375 L s P p .001 w .6 .5 m .6 .50375 L s P p .001 w .65 .5 m .65 .50375 L s P p .001 w .675 .5 m .675 .50375 L s P p .001 w .7 .5 m .7 .50375 L s P p .001 w .725 .5 m .725 .50375 L s P p .001 w .775 .5 m .775 .50375 L s P p .001 w .8 .5 m .8 .50375 L s P p .001 w .825 .5 m .825 .50375 L s P p .001 w .85 .5 m .85 .50375 L s P p .001 w .9 .5 m .9 .50375 L s P p .001 w .925 .5 m .925 .50375 L s P p .001 w .95 .5 m .95 .50375 L s P p .001 w .975 .5 m .975 .50375 L s P p .002 w 0 .5 m 1 .5 L s P [(Location of Roots vs. Q \(Complex Z-Plane\))] .5 1 0 -2 Mshowa p .002 w .5 0 m .50625 0 L s P [(-1)] .4875 0 1 0 Mshowa p .002 w .5 .125 m .50625 .125 L s P [(-0.75)] .4875 .125 1 0 Mshowa p .002 w .5 .25 m .50625 .25 L s P [(-0.5)] .4875 .25 1 0 Mshowa p .002 w .5 .375 m .50625 .375 L s P [(-0.25)] .4875 .375 1 0 Mshowa p .002 w .5 .625 m .50625 .625 L s P [(0.25)] .4875 .625 1 0 Mshowa p .002 w .5 .75 m .50625 .75 L s P [(0.5)] .4875 .75 1 0 Mshowa p .002 w .5 .875 m .50625 .875 L s P [(0.75)] .4875 .875 1 0 Mshowa p .002 w .5 1 m .50625 1 L s P [(1)] .4875 1 1 0 Mshowa p .001 w .5 .025 m .50375 .025 L s P p .001 w .5 .05 m .50375 .05 L s P p .001 w .5 .075 m .50375 .075 L s P p .001 w .5 .1 m .50375 .1 L s P p .001 w .5 .15 m .50375 .15 L s P p .001 w .5 .175 m .50375 .175 L s P p .001 w .5 .2 m .50375 .2 L s P p .001 w .5 .225 m .50375 .225 L s P p .001 w .5 .275 m .50375 .275 L s P p .001 w .5 .3 m .50375 .3 L s P p .001 w .5 .325 m .50375 .325 L s P p .001 w .5 .35 m .50375 .35 L s P p .001 w .5 .4 m .50375 .4 L s P p .001 w .5 .425 m .50375 .425 L s P p .001 w .5 .45 m .50375 .45 L s P p .001 w .5 .475 m .50375 .475 L s P p .001 w .5 .525 m .50375 .525 L s P p .001 w .5 .55 m .50375 .55 L s P p .001 w .5 .575 m .50375 .575 L s P p .001 w .5 .6 m .50375 .6 L s P p .001 w .5 .65 m .50375 .65 L s P p .001 w .5 .675 m .50375 .675 L s P p .001 w .5 .7 m .50375 .7 L s P p .001 w .5 .725 m .50375 .725 L s P p .001 w .5 .775 m .50375 .775 L s P p .001 w .5 .8 m .50375 .8 L s P p .001 w .5 .825 m .50375 .825 L s P p .001 w .5 .85 m .50375 .85 L s P p .001 w .5 .9 m .50375 .9 L s P p .001 w .5 .925 m .50375 .925 L s P p .001 w .5 .95 m .50375 .95 L s P p .001 w .5 .975 m .50375 .975 L s P p .002 w .5 0 m .5 1 L s P P 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath p .008 w .83778 .49162 Mdot .83778 .50838 Mdot .85212 .42204 Mdot .85212 .57796 Mdot .86363 .39731 Mdot .86363 .60269 Mdot .87303 .38182 Mdot .87303 .61818 Mdot .88083 .37097 Mdot .88083 .62903 Mdot .88739 .36288 Mdot .88739 .63712 Mdot .89299 .35661 Mdot .89299 .64339 Mdot .89781 .3516 Mdot .89781 .6484 Mdot .90201 .34752 Mdot .90201 .65248 Mdot .9057 .34412 Mdot .9057 .65588 Mdot .90896 .34125 Mdot .90896 .65875 Mdot .91187 .3388 Mdot .91187 .6612 Mdot .91448 .33668 Mdot .91448 .66332 Mdot .91683 .33484 Mdot .91683 .66516 Mdot .91895 .33321 Mdot .91895 .66679 Mdot .92089 .33177 Mdot .92089 .66823 Mdot .92266 .33049 Mdot .92266 .66951 Mdot P % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] The following plot shows the frequency response of a number of second order discrete bandpass filters with a center frequency of 1000Hz and a sampling frequency of 16000. The flattest curve is the frequency response of a second order bandpass filter with a q of .7 while the sharpest (narrowest) curve is the frequency response when the q is 10. ;[s] 5:0,0;258,1;259,0;338,1;339,0;347,-1; 2:3,17,12,Geneva,0,12,0,0,0;2,17,12,Geneva,1,12,0,0,0; :[font = input; closed; dontPreserveAspect; startGroup] Show[Table[ FreqResponse[ MakeFilter[1, SecondOrderFromCenterQ[1000,q,16000], 16000,1000,1]//N, 16000], {q,.7,10,1}]]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; closed; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000119286 0.541175 0.0208095 [ [(2000)] .26238 .54118 0 2 Msboxa [(4000)] .50095 .54118 0 2 Msboxa [(6000)] .73953 .54118 0 2 Msboxa [(8000)] .9781 .54118 0 2 Msboxa [( f)] 1.025 .54118 -1 0 Msboxa [(-25)] .01131 .02094 1 0 Msboxa [(-20)] .01131 .12498 1 0 Msboxa [(-15)] .01131 .22903 1 0 Msboxa [(-10)] .01131 .33308 1 0 Msboxa [(-5)] .01131 .43713 1 0 Msboxa [(Response in dB)] .02381 .61803 0 -4 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .26238 .54118 m .26238 .54743 L s P [(2000)] .26238 .54118 0 2 Mshowa p .002 w .50095 .54118 m .50095 .54743 L s P [(4000)] .50095 .54118 0 2 Mshowa p .002 w .73953 .54118 m .73953 .54743 L s P [(6000)] .73953 .54118 0 2 Mshowa p .002 w .9781 .54118 m .9781 .54743 L s P [(8000)] .9781 .54118 0 2 Mshowa p .001 w .07152 .54118 m .07152 .54493 L s P p .001 w .11924 .54118 m .11924 .54493 L s P p .001 w .16695 .54118 m .16695 .54493 L s P p .001 w .21467 .54118 m .21467 .54493 L s P p .001 w .3101 .54118 m .3101 .54493 L s P p .001 w .35781 .54118 m .35781 .54493 L s P p .001 w .40553 .54118 m .40553 .54493 L s P p .001 w .45324 .54118 m .45324 .54493 L s P p .001 w .54867 .54118 m .54867 .54493 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L .13552 .56926 L .13676 .56994 L .138 .57034 L .13924 .57044 L .14048 .57023 L .14172 .56972 L .14296 .56889 L .1442 .56775 L .14544 .56632 L .14792 .56265 L .15288 .5527 L .1628 .52762 L .18264 .47873 L .20248 .43961 L .22232 .40823 L .26199 .35998 L .30167 .32348 L .34135 .29425 L .38103 .27002 L .4207 .24952 L .46038 .23193 L .50006 .21672 L .53974 .20351 L .57941 .19201 L .61909 .18203 L .65877 .17341 L .69845 .16602 L .73813 .15977 L Mistroke .7778 .15458 L .81748 .1504 L .85716 .14719 L .877 .14593 L .89684 .1449 L .91667 .14409 L .92659 .14378 L .93651 .14352 L .94643 .14331 L .95139 .14323 L .95635 .14316 L .96131 .14311 L .96379 .14308 L .96627 .14307 L .96875 .14305 L .96999 .14305 L .97123 .14304 L .97247 .14304 L .97371 .14303 L .97495 .14303 L .97619 .14303 L Mfstroke P P p p .004 w .02393 .43603 m .02517 .43605 L .02641 .43608 L .02765 .43614 L .02889 .43621 L .03137 .43643 L .03385 .43673 L .03633 .43712 L .03881 .4376 L .04377 .43881 L .04873 .4404 L .05369 .44236 L .06361 .44752 L .07353 .4545 L .08345 .46365 L .09336 .47544 L .10328 .49056 L .12312 .53401 L .12808 .54725 L .13056 .55368 L .13304 .5596 L .13552 .56457 L .13676 .56653 L .138 .56807 L .13924 .56911 L .14048 .56961 L .14172 .56954 L .14296 .56888 L .1442 .56764 L .14544 .56584 L .14792 .56075 L .15288 .54634 L .1628 .51227 L .18264 .45437 L .20248 .41201 L .22232 .37918 L .26199 .3297 L .30167 .2927 L .34135 .2632 L .38103 .23882 L .4207 .21822 L .46038 .20056 L .50006 .1853 L .53974 .17205 L .57941 .16053 L .61909 .15053 L .65877 .14189 L .69845 .13449 L .73813 .12822 L .7778 .12303 L Mistroke .81748 .11884 L .85716 .11562 L .877 .11436 L .89684 .11333 L .91667 .11253 L .92659 .11221 L .93651 .11195 L .94643 .11174 L .95139 .11166 L .95635 .11159 L .96131 .11154 L .96379 .11152 L .96627 .1115 L .96875 .11148 L .96999 .11148 L .97123 .11147 L .97247 .11147 L .97371 .11146 L .97495 .11146 L .97619 .11146 L Mfstroke P P p p .004 w .02393 .412 m .02517 .41201 L .02641 .41205 L .02765 .4121 L .02889 .41218 L .03137 .4124 L .03385 .41271 L .03633 .4131 L .03881 .41358 L .04377 .41482 L .04873 .41643 L .05369 .41843 L .06361 .42368 L .07353 .43082 L .08345 .44022 L .09336 .45244 L .10328 .46837 L .1132 .48934 L .12312 .51715 L .12808 .53382 L .13304 .55115 L .13552 .559 L .13676 .56238 L .138 .56524 L .13924 .56742 L .14048 .56881 L .14172 .56932 L .14296 .56888 L .1442 .5675 L .14544 .56522 L .14792 .55836 L .15288 .53905 L .1628 .49736 L .17272 .46233 L .18264 .43386 L .20248 .38984 L .22232 .35632 L .26199 .30627 L .30167 .26904 L .34135 .23943 L .38103 .21498 L .4207 .19434 L .46038 .17665 L .50006 .16137 L .53974 .1481 L .57941 .13657 L .61909 .12656 L .65877 .11791 L .69845 .1105 L .73813 .10424 L Mistroke .7778 .09904 L .81748 .09485 L .85716 .09163 L .877 .09037 L .89684 .08933 L .91667 .08853 L .92659 .08821 L .93651 .08795 L .94643 .08774 L .95139 .08766 L .95635 .08759 L .96131 .08754 L .96379 .08752 L .96627 .0875 L .96875 .08749 L .96999 .08748 L .97123 .08747 L .97247 .08747 L .97371 .08747 L .97495 .08746 L .97619 .08746 L Mfstroke P P p p .004 w .02393 .39262 m .02517 .39263 L .02641 .39267 L .02765 .39272 L .02889 .3928 L .03137 .39302 L .03385 .39333 L .03633 .39373 L .03881 .39422 L .04377 .39546 L .04873 .39709 L .05369 .3991 L .06361 .4044 L .07353 .41162 L .08345 .42116 L .09336 .43361 L .10328 .44998 L .1132 .47187 L .12312 .50195 L .12808 .52102 L .13304 .54234 L .13552 .55287 L .13676 .55768 L .138 .56194 L .13924 .5654 L .14048 .56784 L .14172 .56904 L .14296 .56888 L .1442 .56732 L .14544 .56446 L .14792 .55556 L .15288 .53129 L .1628 .48349 L .17272 .44601 L .18264 .41642 L .20248 .37146 L .22232 .33756 L .26199 .28721 L .30167 .24986 L .34135 .22019 L .38103 .19571 L .4207 .17504 L .46038 .15733 L .50006 .14204 L .53974 .12877 L .57941 .11723 L .61909 .10721 L .65877 .09856 L .69845 .09115 L .73813 .08488 L Mistroke .7778 .07968 L .81748 .07549 L .85716 .07227 L .877 .07101 L .89684 .06997 L .91667 .06917 L .92659 .06885 L .93651 .06859 L .94643 .06838 L .95139 .0683 L .95635 .06823 L .96131 .06818 L .96379 .06816 L .96627 .06814 L .96875 .06812 L .96999 .06812 L .97123 .06811 L .97247 .06811 L .97371 .06811 L .97495 .0681 L .97619 .0681 L Mfstroke P P p p .004 w .02393 .37638 m .02517 .37639 L .02641 .37643 L .02765 .37649 L .02889 .37656 L .03137 .37679 L .03385 .3771 L .03633 .3775 L .03881 .37798 L .04377 .37924 L .04873 .38087 L .05369 .38289 L .06361 .38822 L .07353 .39549 L .08345 .40511 L .09336 .4177 L .10328 .43433 L .1132 .45679 L .12312 .48835 L .13304 .53353 L .13552 .54642 L .138 .55827 L .13924 .5631 L .14048 .5667 L .14172 .56872 L .14296 .56888 L .1442 .56711 L .14544 .56356 L .14792 .5524 L .15288 .52337 L .1628 .47078 L .17272 .43165 L .18264 .40136 L .20248 .35582 L .22232 .32169 L .26199 .27116 L .30167 .23374 L .34135 .20403 L .38103 .17953 L .4207 .15884 L .46038 .14113 L .50006 .12583 L .53974 .11255 L .57941 .10101 L .61909 .09099 L .65877 .08234 L .69845 .07493 L .73813 .06866 L .7778 .06346 L .81748 .05927 L Mistroke .85716 .05604 L .877 .05478 L .89684 .05375 L .91667 .05294 L .92659 .05262 L .93651 .05236 L .94643 .05216 L .95139 .05207 L .95635 .05201 L .96131 .05195 L .96379 .05193 L .96627 .05191 L .96875 .0519 L .96999 .05189 L .97123 .05189 L .97247 .05188 L .97371 .05188 L .97495 .05188 L .97619 .05187 L Mfstroke P P p p .004 w .02393 .36241 m .02517 .36242 L .02641 .36245 L .02765 .36251 L .02889 .36259 L .03137 .36281 L .03385 .36312 L .03633 .36352 L .03881 .36401 L .04377 .36527 L .04873 .3669 L .05369 .36894 L .06361 .37429 L .07353 .38159 L .08345 .39125 L .09336 .40393 L .10328 .42073 L .10824 .43122 L .1132 .44357 L .11816 .45829 L .12312 .47612 L .13304 .52492 L .13552 .53984 L .138 .55432 L .13924 .56055 L .14048 .56541 L .14172 .56834 L .14296 .56887 L .1442 .56687 L .14544 .56255 L .14792 .54897 L .15288 .51551 L .1628 .4592 L .17272 .41892 L .18264 .38814 L .20248 .34223 L .22232 .30795 L .26199 .25731 L .30167 .21984 L .34135 .19011 L .38103 .16559 L .4207 .1449 L .46038 .12718 L .50006 .11188 L .53974 .09859 L .57941 .08705 L .61909 .07703 L .65877 .06838 L .69845 .06096 L .73813 .05469 L Mistroke .7778 .04949 L .81748 .0453 L .85716 .04207 L .877 .04081 L .89684 .03978 L .91667 .03897 L .92659 .03866 L .93651 .03839 L .94643 .03819 L .95139 .03811 L .95635 .03804 L .96131 .03798 L .96379 .03796 L .96627 .03794 L .96875 .03793 L .96999 .03792 L .97123 .03792 L .97247 .03791 L .97371 .03791 L .97495 .03791 L .97619 .0379 L Mfstroke P P p p .004 w .02393 .35014 m .02517 .35015 L .02641 .35019 L .02765 .35024 L .02889 .35032 L .03137 .35054 L .03385 .35086 L .03633 .35126 L .03881 .35175 L .04377 .35301 L .04873 .35465 L .05369 .35668 L .06361 .36204 L .07353 .36936 L .08345 .37906 L .09336 .39181 L .10328 .40872 L .10824 .41931 L .1132 .43181 L .11816 .44679 L .12312 .46507 L .13304 .51664 L .13552 .53327 L .138 .55017 L .13924 .5578 L .14048 .56399 L .14172 .56791 L .14296 .56887 L .1442 .5666 L .14544 .56141 L .14792 .54533 L .15288 .50784 L .15784 .47527 L .1628 .44861 L .17272 .4075 L .18264 .3764 L .20248 .33022 L .22232 .29585 L .26199 .24512 L .30167 .20762 L .34135 .17788 L .38103 .15335 L .4207 .13265 L .46038 .11493 L .50006 .09962 L .53974 .08634 L .57941 .07479 L .61909 .06477 L .65877 .05612 L .69845 .0487 L Mistroke .73813 .04243 L .7778 .03723 L .81748 .03304 L .85716 .02981 L .877 .02855 L .89684 .02752 L .91667 .02671 L .92659 .02639 L .93651 .02613 L .94643 .02593 L .95139 .02584 L .95635 .02578 L .96131 .02572 L .96379 .0257 L .96627 .02568 L .96875 .02567 L .96999 .02566 L .97123 .02565 L .97247 .02565 L .97371 .02565 L .97495 .02564 L .97619 .02564 L Mfstroke P P p p .004 w .02393 .33921 m .02517 .33922 L .02641 .33926 L .02765 .33931 L .02889 .33939 L .03137 .33961 L .03385 .33993 L .03633 .34033 L .03881 .34082 L .04377 .34208 L .04873 .34372 L .05369 .34576 L .06361 .35113 L .07353 .35847 L .08345 .36819 L .09336 .38098 L .10328 .39798 L .10824 .40864 L .1132 .42125 L .11816 .43641 L .12312 .45502 L .12808 .47847 L .13304 .50873 L .13552 .52679 L .138 .54589 L .13924 .55487 L .14048 .56243 L .14172 .56744 L .14296 .56886 L .1442 .56629 L .14544 .56017 L .14792 .54154 L .15288 .50044 L .15784 .46629 L .1628 .4389 L .17272 .39718 L .18264 .36584 L .20248 .31948 L .22232 .28503 L .26199 .23425 L .30167 .19673 L .34135 .16697 L .38103 .14244 L .4207 .12173 L .46038 .10401 L .50006 .0887 L .53974 .07542 L .57941 .06387 L .61909 .05385 L .65877 .04519 L Mistroke .69845 .03778 L .73813 .0315 L .7778 .0263 L .81748 .02211 L .85716 .01888 L .877 .01762 L .89684 .01659 L .91667 .01578 L .92659 .01547 L .93651 .0152 L .94643 .015 L .95139 .01492 L .95635 .01485 L .96131 .01479 L .96379 .01477 L .96627 .01475 L .96875 .01474 L .96999 .01473 L .97123 .01473 L .97247 .01472 L .97371 .01472 L .97495 .01472 L .97619 .01472 L Mfstroke P P P % End of Graphics MathPictureEnd :[font = subsubsection; inactive; dontPreserveAspect; startGroup] A.2.3 - Time Domain Implementation :[font = text; inactive; dontPreserveAspect] The following signal flow graph shows how the filter A0 + A1/z + A2/z^2 ---------------------------- 1 + B1/z + B2/z^2 can be computed. Each stage of the ear cascade model discussed in this report is implemented this way. :[font = input; PICT; formatAsPICT; output; inactive; dontPreserveAspect; pictureLeft = 27; pictureTop = 1; pictureWidth = 348; pictureHeight = 293; pictureID = 347] :[font = text; inactive; dontPreserveAspect] The following function can be used only to evaluate the inverse z-transform of a ratio of two polynomials in z. :[font = input; initialization; dontPreserveAspect] *) FindImpulseResponse[filter_,maxn_] := Block[{num, denom, numorder, denomorder, response, order, inverse, new}, new = Expand[Numerator[filter]] / Expand[Denominator[filter]]; order = Abs[Exponent[Numerator[new],z]- Exponent[Denominator[new],z]]; inverse = Expand[new/.z->1/z]; num = Expand[Numerator[inverse]]; denom = Expand[Denominator[inverse]]; inverse = Simplify[Expand[z^order num]/ Expand[z^order denom]]; num = Expand[Numerator[inverse]]; denom = Expand[Denominator[inverse]]; numorder = Exponent[num,z]; denomorder = Exponent[denom,z]; response = Table[0,{maxn}]; Do [ response[[i+1]] = (Coefficient[num,z,i] - Sum[Coefficient[denom,z,j] * response[[i-j+1]], {j,1,Min[i,denomorder]}])/ Coefficient[denom,z,0], {i, 0, maxn-1}]; Return[response]] (* :[font = text; inactive; dontPreserveAspect] This is the impulse response for a simple low pass filter. :[font = input; dontPreserveAspect; startGroup] FindImpulseResponse[z/(z-.9),10] :[font = output; output; inactive; dontPreserveAspect; endGroup] {1, 0.9, 0.81, 0.7290000000000001, 0.6561000000000002, 0.5904900000000002, 0.5314410000000002, 0.4782969000000002, 0.4304672100000002, 0.3874204890000001} ;[o] {1, 0.9, 0.81, 0.729, 0.6561, 0.59049, 0.531441, 0.478297, 0.430467, 0.38742} :[font = subsubsection; inactive; dontPreserveAspect; startGroup] A.2.4 - Test Code :[font = text; inactive; dontPreserveAspect] The following examples are from page 35 of [Rabiner1975] :[font = input; dontPreserveAspect; startGroup] Simplify[Table[-a a^i/(b-a) + b b^i/(b-a),{i,0,4}]] :[font = output; output; inactive; dontPreserveAspect; endGroup] {1, (3.165795458605077*10^14 - 1.822357225031552*10^14*I)/ ((3.947841760435743*10^7 + 3141.592653589793*s + s^2)*(-(4.934802200544678*10^6) - 1.84643391059363*10^7*I + 3.947841760435743*10^7*b + 3141.592653589793*b*s + b*s^2)) + b^2/(b + (-(4.934802200544678*10^6) - 1.84643391059363*10^7*I)/ (3.947841760435743*10^7 + 3141.592653589793*s + s^2)), (4.927119617073432*10^21 + 4.946134844345308*10^21*I)/ ((3.947841760435743*10^7 + 3141.592653589793*s + s^2)^2*(-(4.934802200544678*10^6) - 1.84643391059363*10^7*I + 3.947841760435743*10^7*b + 3141.592653589793*b*s + b*s^2)) + b^3/(b + (-(4.934802200544678*10^6) - 1.84643391059363*10^7*I)/ (3.947841760435743*10^7 + 3141.592653589793*s + s^2)), (-(6.701275030099839*10^28) + 1.153842045392208*10^29*I)/ ((3.947841760435743*10^7 + 3141.592653589793*s + s^2)^3*(-(4.934802200544678*10^6) - 1.84643391059363*10^7*I + 3.947841760435743*10^7*b + 3141.592653589793*b*s + b*s^2)) + b^4/(b + (-(4.934802200544678*10^6) - 1.84643391059363*10^7*I)/ (3.947841760435743*10^7 + 3141.592653589793*s + s^2)), (2.461187747730804*10^36 + 6.679479195108253*10^35*I)/ ((3.947841760435743*10^7 + 3141.592653589793*s + s^2)^4*(4.934802200544678*10^6 + 1.84643391059363*10^7*I - 3.947841760435743*10^7*b - 3141.592653589793*b*s - b*s^2)) + b^5/(b + (-(4.934802200544678*10^6) - 1.84643391059363*10^7*I)/ (3.947841760435743*10^7 + 3141.592653589793*s + s^2))} ;[o] 14 14 {1, (3.1658 10 - 1.82236 10 I) / 7 2 ((3.94784 10 + 3141.59 s + s ) 6 7 7 (-4.9348 10 - 1.84643 10 I + 3.94784 10 b + 2 3141.59 b s + b s )) + 2 b --------------------------------, 6 7 -4.9348 10 - 1.84643 10 I b + ---------------------------- 7 2 3.94784 10 + 3141.59 s + s 21 21 (4.92712 10 + 4.94613 10 I) / 7 2 2 ((3.94784 10 + 3141.59 s + s ) 6 7 7 (-4.9348 10 - 1.84643 10 I + 3.94784 10 b + 2 3141.59 b s + b s )) + 3 b --------------------------------, 6 7 -4.9348 10 - 1.84643 10 I b + ---------------------------- 7 2 3.94784 10 + 3141.59 s + s 28 29 (-6.70128 10 + 1.15384 10 I) / 7 2 3 ((3.94784 10 + 3141.59 s + s ) 6 7 7 (-4.9348 10 - 1.84643 10 I + 3.94784 10 b + 2 3141.59 b s + b s )) + 4 b --------------------------------, 6 7 -4.9348 10 - 1.84643 10 I b + ---------------------------- 7 2 3.94784 10 + 3141.59 s + s 36 35 (2.46119 10 + 6.67948 10 I) / 7 2 4 ((3.94784 10 + 3141.59 s + s ) 6 7 7 (4.9348 10 + 1.84643 10 I - 3.94784 10 b - 2 3141.59 b s - b s )) + 5 b --------------------------------} 6 7 -4.9348 10 - 1.84643 10 I b + ---------------------------- 7 2 3.94784 10 + 3141.59 s + s :[font = input; dontPreserveAspect; startGroup] Simplify[FindImpulseResponse[1/(1-a z)/(1-b z),5]] :[font = output; output; inactive; dontPreserveAspect; endGroup; endGroup] {0, 0, ((1.350949115231171*10^-8 - 5.054788736160429*10^-8*I)* (3.947841760435743*10^7 + 3141.592653589793*s + s^2))/b, ((-(2.372582565527048*10^-15) - 1.365752474159284*10^-15*I)* (3.947841760435743*10^7 + 3141.592653589793*s + s^2)*(4.934802200544678*10^6 + 1.84643391059363*10^7*I + 3.947841760435743*10^7*b + 3141.592653589793*b*s + b*s^2))/b^2, ((1.350949115231171*10^-8 - 5.054788736160429*10^-8*I)* (3.947841760435743*10^7 + 3141.592653589793*s + s^2)*(((-(1.350949115231171*10^-8) + 5.054788736160429*10^-8*I)* (3.947841760435743*10^7 + 3141.592653589793*s + s^2))/b + ((-(2.372582565527048*10^-15) - 1.365752474159284*10^-15*I)* (4.934802200544678*10^6 + 1.84643391059363*10^7*I + 3.947841760435743*10^7*b + 3141.592653589793*b*s + b*s^2)^2)/b^2))/b } ;[o] -8 -8 {0, 0, ((1.35095 10 - 5.05479 10 I) 7 2 (3.94784 10 + 3141.59 s + s )) / b, -15 -15 ((-2.37258 10 - 1.36575 10 I) 7 2 (3.94784 10 + 3141.59 s + s ) 6 7 7 (4.9348 10 + 1.84643 10 I + 3.94784 10 b + 2 2 3141.59 b s + b s )) / b , -8 -8 ((1.35095 10 - 5.05479 10 I) 7 2 (3.94784 10 + 3141.59 s + s ) -8 -8 (((-1.35095 10 + 5.05479 10 I) 7 2 (3.94784 10 + 3141.59 s + s )) / b + -15 -15 ((-2.37258 10 - 1.36575 10 I) 6 7 Power[4.9348 10 + 1.84643 10 I + 7 2 3.94784 10 b + 3141.59 b s + b s , 2]) / 2 b )) / b} :[font = text; inactive; dontPreserveAspect] The first example is the impulse response for a perfect oscillator with a pair of poles on the unit circle. :[font = input; dontPreserveAspect; startGroup] ListPlot[FindImpulseResponse[1/(1-1.99z+z*z),100], PlotJoined->True]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00952381 0.309075 0.0294007 [ [(20)] .21429 .30907 0 2 Msboxa [(40)] .40476 .30907 0 2 Msboxa [(60)] .59524 .30907 0 2 Msboxa [(80)] .78571 .30907 0 2 Msboxa [(100)] .97619 .30907 0 2 Msboxa [(-10)] .01131 .01507 1 0 Msboxa [(-5)] .01131 .16207 1 0 Msboxa [(5)] .01131 .45608 1 0 Msboxa [(10)] .01131 .60308 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .21429 .30907 m .21429 .31532 L s P [(20)] .21429 .30907 0 2 Mshowa p .002 w .40476 .30907 m .40476 .31532 L s P [(40)] .40476 .30907 0 2 Mshowa p .002 w .59524 .30907 m .59524 .31532 L s P [(60)] .59524 .30907 0 2 Mshowa p .002 w .78571 .30907 m .78571 .31532 L s P [(80)] .78571 .30907 0 2 Mshowa p .002 w .97619 .30907 m .97619 .31532 L s P [(100)] .97619 .30907 0 2 Mshowa p .001 w .0619 .30907 m .0619 .31282 L s P p .001 w .1 .30907 m .1 .31282 L s P p .001 w .1381 .30907 m .1381 .31282 L s P p .001 w .17619 .30907 m .17619 .31282 L s P p .001 w .25238 .30907 m .25238 .31282 L s P p .001 w .29048 .30907 m .29048 .31282 L s P p .001 w .32857 .30907 m .32857 .31282 L s P p .001 w .36667 .30907 m .36667 .31282 L s P p .001 w .44286 .30907 m .44286 .31282 L s P p .001 w .48095 .30907 m .48095 .31282 L s P p .001 w .51905 .30907 m .51905 .31282 L s P p .001 w .55714 .30907 m .55714 .31282 L s P p .001 w .63333 .30907 m .63333 .31282 L s P p .001 w .67143 .30907 m .67143 .31282 L s P p .001 w .70952 .30907 m .70952 .31282 L s P p .001 w .74762 .30907 m .74762 .31282 L s P p .001 w .82381 .30907 m .82381 .31282 L s P p .001 w .8619 .30907 m .8619 .31282 L s P p .001 w .9 .30907 m .9 .31282 L s P p .001 w .9381 .30907 m .9381 .31282 L s P p .002 w 0 .30907 m 1 .30907 L s P p .002 w .02381 .01507 m .03006 .01507 L s P [(-10)] .01131 .01507 1 0 Mshowa p .002 w .02381 .16207 m .03006 .16207 L s P [(-5)] .01131 .16207 1 0 Mshowa p .002 w .02381 .45608 m .03006 .45608 L s P [(5)] .01131 .45608 1 0 Mshowa p .002 w .02381 .60308 m .03006 .60308 L s P [(10)] .01131 .60308 1 0 Mshowa p .001 w .02381 .04447 m .02756 .04447 L s P p .001 w .02381 .07387 m .02756 .07387 L s P p .001 w .02381 .10327 m .02756 .10327 L s P p .001 w .02381 .13267 m .02756 .13267 L s P p .001 w .02381 .19147 m .02756 .19147 L s P p .001 w .02381 .22087 m .02756 .22087 L s P p .001 w .02381 .25027 m .02756 .25027 L s P p .001 w .02381 .27967 m .02756 .27967 L s P p .001 w .02381 .33848 m .02756 .33848 L s P p .001 w .02381 .36788 m .02756 .36788 L s P p .001 w .02381 .39728 m .02756 .39728 L s P p .001 w .02381 .42668 m .02756 .42668 L s P p .001 w .02381 .48548 m .02756 .48548 L s P p .001 w .02381 .51488 m .02756 .51488 L s P p .001 w .02381 .54428 m .02756 .54428 L s P p .001 w .02381 .57368 m .02756 .57368 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .004 w .03333 .30907 m .04286 .30907 L .05238 .33848 L .0619 .36758 L .07143 .3961 L .08095 .42376 L .09048 .45026 L .1 .47535 L .10952 .49878 L .11905 .52032 L .12857 .53974 L .1381 .55685 L .14762 .57149 L .15714 .5835 L .16667 .59277 L .17619 .5992 L .18571 .60273 L .19524 .60332 L .20476 .60097 L .21429 .5957 L .22381 .58757 L .23333 .57665 L .24286 .56305 L .25238 .54692 L .2619 .5284 L .27143 .5077 L .28095 .485 L .29048 .46055 L .3 .43459 L .30952 .40736 L .31905 .37916 L .32857 .35025 L .3381 .32093 L .34762 .2915 L .35714 .26224 L .36667 .23345 L .37619 .20541 L .38571 .17841 L .39524 .15272 L .40476 .12859 L .41429 .10627 L .42381 .08597 L .43333 .0679 L .44286 .05225 L .45238 .03917 L .4619 .02878 L .47143 .0212 L .48095 .01649 L .49048 .01472 L .5 .01588 L Mistroke .50952 .01998 L .51905 .02697 L .52857 .03677 L .5381 .04931 L .54762 .06444 L .55714 .08201 L .56667 .10186 L .57619 .12378 L .58571 .14755 L .59524 .17294 L .60476 .19969 L .61429 .22753 L .62381 .25619 L .63333 .28537 L .64286 .3148 L .65238 .34416 L .6619 .37318 L .67143 .40155 L .68095 .429 L .69048 .45525 L .7 .48004 L .70952 .50312 L .71905 .52426 L .72857 .54325 L .7381 .55989 L .74762 .57403 L .75714 .58552 L .76667 .59424 L .77619 .60011 L .78571 .60307 L .79524 .60309 L .80476 .60017 L .81429 .59434 L .82381 .58566 L .83333 .57421 L .84286 .56011 L .85238 .5435 L .8619 .52455 L .87143 .50344 L .88095 .48038 L .89048 .45562 L .9 .42938 L .90952 .40195 L .91905 .37359 L .92857 .34458 L .9381 .31521 L .94762 .28579 L .95714 .2566 L .96667 .22793 L .97619 .20007 L Mistroke Mfstroke % End of Graphics MathPictureEnd :[font = text; inactive; dontPreserveAspect] A second order filter with finite q will have an impulse response that is a decaying sinusoid. The following example shows the impulse response to a second order filter with a center frequency of 1000Hz, sampling frequency of 8000Hz and a q of 10. :[font = input; dontPreserveAspect; startGroup] filter = SecondOrderFromCenterQ[1000,10,8000] //N :[font = output; output; inactive; dontPreserveAspect; endGroup] 0.924465250376256 - 1.36108895256116*z + z^2 ;[o] 2 0.924465 - 1.36109 z + z :[font = input; dontPreserveAspect; startGroup] RationalPoles[1/filter] :[font = output; output; inactive; dontPreserveAspect; endGroup] {0.6805444762805803 - 0.6792087059072834*I, 0.6805444762805803 + 0.6792087059072834*I} ;[o] {0.680544 - 0.679209 I, 0.680544 + 0.679209 I} :[font = input; dontPreserveAspect; startGroup] ListPlot[FindImpulseResponse[1/filter,50], PlotJoined->True]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 61; pictureWidth = 279; pictureHeight = 171; endGroup; endGroup] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.0190476 0.285948 0.233174 [ [(10)] .21429 .28595 0 2 Msboxa [(20)] .40476 .28595 0 2 Msboxa [(30)] .59524 .28595 0 2 Msboxa [(40)] .78571 .28595 0 2 Msboxa [(50)] .97619 .28595 0 2 Msboxa [(-1)] .01131 .05277 1 0 Msboxa [(-0.5)] .01131 .16936 1 0 Msboxa [(0.5)] .01131 .40253 1 0 Msboxa [(1)] .01131 .51912 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 .61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .21429 .28595 m .21429 .2922 L s P [(10)] .21429 .28595 0 2 Mshowa p .002 w .40476 .28595 m .40476 .2922 L s P [(20)] .40476 .28595 0 2 Mshowa p .002 w .59524 .28595 m .59524 .2922 L s P [(30)] .59524 .28595 0 2 Mshowa p .002 w .78571 .28595 m .78571 .2922 L s P [(40)] .78571 .28595 0 2 Mshowa p .002 w .97619 .28595 m .97619 .2922 L s P [(50)] .97619 .28595 0 2 Mshowa p .001 w .0619 .28595 m .0619 .2897 L s P p .001 w .1 .28595 m .1 .2897 L s P p .001 w .1381 .28595 m .1381 .2897 L s P p .001 w .17619 .28595 m .17619 .2897 L s P p .001 w .25238 .28595 m .25238 .2897 L s P p .001 w .29048 .28595 m .29048 .2897 L s P p .001 w .32857 .28595 m .32857 .2897 L s P p .001 w .36667 .28595 m .36667 .2897 L s P p .001 w .44286 .28595 m .44286 .2897 L s P p .001 w .48095 .28595 m .48095 .2897 L s P p .001 w .51905 .28595 m .51905 .2897 L s P p .001 w .55714 .28595 m .55714 .2897 L s P p .001 w .63333 .28595 m .63333 .2897 L s P p .001 w .67143 .28595 m .67143 .2897 L s P p .001 w .70952 .28595 m .70952 .2897 L s P p .001 w .74762 .28595 m .74762 .2897 L s P p .001 w .82381 .28595 m .82381 .2897 L s P p .001 w .8619 .28595 m .8619 .2897 L s P p .001 w .9 .28595 m .9 .2897 L s P p .001 w .9381 .28595 m .9381 .2897 L s P p .002 w 0 .28595 m 1 .28595 L s P p .002 w .02381 .05277 m .03006 .05277 L s P [(-1)] .01131 .05277 1 0 Mshowa p .002 w .02381 .16936 m .03006 .16936 L s P [(-0.5)] .01131 .16936 1 0 Mshowa p .002 w .02381 .40253 m .03006 .40253 L s P [(0.5)] .01131 .40253 1 0 Mshowa p .002 w .02381 .51912 m .03006 .51912 L s P [(1)] .01131 .51912 1 0 Mshowa p .001 w .02381 .07609 m .02756 .07609 L s P p .001 w .02381 .09941 m .02756 .09941 L s P p .001 w .02381 .12273 m .02756 .12273 L s P p .001 w .02381 .14604 m .02756 .14604 L s P p .001 w .02381 .19268 m .02756 .19268 L s P p .001 w .02381 .216 m .02756 .216 L s P p .001 w .02381 .23931 m .02756 .23931 L s P p .001 w .02381 .26263 m .02756 .26263 L s P p .001 w .02381 .30927 m .02756 .30927 L s P p .001 w .02381 .33258 m .02756 .33258 L s P p .001 w .02381 .3559 m .02756 .3559 L s P p .001 w .02381 .37922 m .02756 .37922 L s P p .001 w .02381 .42585 m .02756 .42585 L s P p .001 w .02381 .44917 m .02756 .44917 L s P p .001 w .02381 .47249 m .02756 .47249 L s P p .001 w .02381 .4958 m .02756 .4958 L s P p .001 w .02381 .02946 m .02756 .02946 L s P p .001 w .02381 .00614 m .02756 .00614 L s P p .001 w .02381 .54244 m .02756 .54244 L s P p .001 w .02381 .56576 m .02756 .56576 L s P p .001 w .02381 .58907 m .02756 .58907 L s P p .001 w .02381 .61239 m .02756 .61239 L s P p .002 w .02381 0 m .02381 .61803 L s P P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .004 w .04286 .28595 m .0619 .28595 L .08095 .51912 L .1 .60332 L .11905 .50236 L .1381 .2871 L .15714 .08745 L .17619 .01472 L .19524 .10028 L .21429 .28398 L .23333 .45491 L .25238 .51775 L .27143 .44524 L .29048 .28847 L .30952 .14212 L .32857 .08785 L .34762 .14929 L .36667 .28307 L .38571 .40837 L .40476 .45524 L .42381 .40319 L .44286 .28902 L .4619 .18175 L .48095 .14128 L .5 .18537 L .51905 .28279 L .5381 .37464 L .55714 .40957 L .57619 .37223 L .59524 .28909 L .61429 .21047 L .63333 .1803 L .65238 .21194 L .67143 .28288 L .69048 .35019 L .70952 .37622 L .72857 .34943 L .74762 .2889 L .76667 .23128 L .78571 .2088 L .80476 .23149 L .82381 .28314 L .84286 .33247 L .8619 .35187 L .88095 .33266 L .9 .28858 L .91905 .24635 L .9381 .22962 L .95714 .24588 L .97619 .28349 L Mistroke Mfstroke % End of Graphics MathPictureEnd :[font = subsubsection; inactive; initialization; Cclosed; dontPreserveAspect; startGroup] A.2.5 - Usage :[font = input; initialization; dontPreserveAspect] *) FindImpulseResponse::usage = "FindImpulseResponse[filter, maxn] returns an array of the first maxn samples of the impulse response of the input filter."; (* :[font = input; initialization; dontPreserveAspect] *) PolyCoeff::usage = "PolyCoeff[coeffs, n] returns the n'th entry of a coefficient list. Zero is returned for all indices past the end of the list."; (* :[font = input; initialization; dontPreserveAspect] *) MakePoly::usage = "MakePoly[coeflist] converts a list of coefficients into a polynomial in z."; (* :[font = input; initialization; dontPreserveAspect] *) FilterEval::uage = "FilterEval[filter,x] evaluates the given filter at the argument x."; (* :[font = input; initialization; dontPreserveAspect] *) RationalPoles::usage = "RationalPoles[rationalfunc] returns the poles of a ratio of polynomials in z."; (* :[font = input; initialization; dontPreserveAspect] *) RationalZeros::usage = "RationalZeros[rationalfunc] returns the zeros of a ratio of polynomials in z."; (* :[font = input; initialization; dontPreserveAspect] *) EpsilonFromTauFS::usage = "EpsilonFromTauFS[tau, fs] returns the epsilon in the equation 1/(1-epsilon z) that will give a time constant of tau with a sampling frequency of fs."; (* :[font = input; initialization; dontPreserveAspect] *) FirstOrderFromTau::usage = "FirstOrderFromTau[tau,fs] returns a first order polynomial in z that represents a digital filter with time constant tau and sampling frequency fs."; (* :[font = input; initialization; dontPreserveAspect] *) FirstOrderFromCorner::usage = "FirstOrderFromCorner[f,fs] returns a first order polynomial in z that represents a digital first with corner frequency f and sampling frequency fs."; (* :[font = input; initialization; dontPreserveAspect] *) SecondOrderFromCenterQ::usage = "SecondOrderFromCenterQ[f, q,fs] returns a second order digital filter (represented in the z-domain) with a center frequency of f, a quality factor of q and a sampling frequency of fs."; (* :[font = input; initialization; dontPreserveAspect] *) MakeFilter::usage = "MakeFilter[forward,feedback,fs,f,gain] creates a filter by dividing a feedforward (zeros) polynomial by the feedback (poles) polynomial. The gain of the resulting filter is adjusted so that it has the desired gain at the frequency f. The sampling interval is fs."; (* :[font = input; initialization; dontPreserveAspect] *) FilterGain::usage = "FilterGain[filter,f,fs] evaluates the filter's gain (sampling interval of fs) at the frequency f."; (* :[font = input; initialization; dontPreserveAspect; endGroup; endGroup; endGroup] *) FreqResponse::usage = "FreqResponse[filter,fs] plots the frequency response of a digital filter. The filter is represented in the z domain (function of z) and fs is the sampling interval."; (* ^*)