(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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Then solve 4 \[Phi][i] = c[i]\ \>", "Text"], Cell[BoxData[ \(Clear["\<`*\>"]\)], "Input"], Cell[BoxData[ \(c[1]\ := \ 2\ \[Phi][2\ ] + \ V\)], "Input"], Cell[BoxData[ \(c[2]\ := \ \[Phi][1] + \[Phi][3] + V\)], "Input"], Cell[BoxData[ \(c[3]\ := \ \[Phi][2] + \[Phi][4]\ + \ V\)], "Input"], Cell[BoxData[ \(c[4]\ := \ 2 \[Phi][3]\)], "Input"], Cell[BoxData[ \(eqc := Table[c[i] \[Equal] 4 \[Phi][i], {i, 1, 4}]\)], "Input"], Cell[BoxData[ \(vars := \ Table[\[Phi][i], {i, 1, 4}]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(solc = \ Solve[eqc, vars] // First\)], "Input"], Cell[BoxData[ \({\[Phi][1] \[Rule] \(22\ V\)\/45, \[Phi][ 2] \[Rule] \(43\ V\)\/90, \[Phi][3] \[Rule] \(19\ V\)\/45, \[Phi][ 4] \[Rule] \(19\ V\)\/90}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(\ \)\(\(vars\ /. \ solc\)\ /. \ V \[Rule] 100 // N\)\)\)], "Input"], Cell[BoxData[ \({48.888888888888886`, 47.77777777777778`, 42.22222222222222`, 21.11111111111111`}\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Side sum", "Subsubsection"], Cell["\<\ In this section, we let s[i] = \ \[Phi][x+h,y+h]+\[Phi][x+h,y-h]+\[Phi][x-h,y+h]+\[Phi][x-h,y-h]. We then set up the average a[i] = (4c[i]+s[i])/20 and solve \[Phi][i] = a[i]\ \ \>", "Text"], Cell[BoxData[ \(s[1]\ := \ 2\ V\)], "Input"], Cell[BoxData[ \(s[2]\ := \ 2\ V\)], "Input"], Cell[BoxData[ \(s[3\ ] := \ V + \ \[Phi][3]\)], "Input"], Cell[BoxData[ \(s[4] := \ V\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(Table[a[i]\ = \ \((4\ c[i] + s[i])\)/20, {i, 1, 4}]\)], "Input"], Cell[BoxData[ \({1\/20\ \((2\ V + 4\ \((V + 2\ \[Phi][2])\))\), 1\/20\ \((2\ V + 4\ \((V + \[Phi][1] + \[Phi][3])\))\), 1\/20\ \((V + \[Phi][3] + 4\ \((V + \[Phi][2] + \[Phi][4])\))\), 1\/20\ \((V + 8\ \[Phi][3])\)}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(eqa = \ Table[a[i] \[Equal] \[Phi][i], {i, 1, 4}]\)], "Input"], Cell[BoxData[ \({1\/20\ \((2\ V + 4\ \((V + 2\ \[Phi][2])\))\) \[Equal] \[Phi][1], 1\/20\ \((2\ V + 4\ \((V + \[Phi][1] + \[Phi][3])\))\) \[Equal] \[Phi][ 2], 1\/20\ \((V + \[Phi][3] + 4\ \((V + \[Phi][2] + \[Phi][4])\))\) \[Equal] \[Phi][3], 1\/20\ \((V + 8\ \[Phi][3])\) \[Equal] \[Phi][4]}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(sola = \ Solve[eqa, vars] // First\)], "Input"], Cell[BoxData[ \({\[Phi][1] \[Rule] \(1871\ V\)\/3802, \[Phi][ 2] \[Rule] \(913\ V\)\/1901, \[Phi][ 3] \[Rule] \(778\ V\)\/1901, \[Phi][ 4] \[Rule] \(1625\ V\)\/7604}\)], "Output"] }, Open ]], Cell["The resulting potential array (given V=100) is", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(N[\(vars\ /. \ sola\)\ /. \ V \[Rule] 100, 4]\)\(\ \)\)\)], "Input"], Cell[BoxData[ \({49.2109416096791162546`3.9999999999999982, 48.0273540241977906365`3.9999999999999982, 40.9258285113098369279`4.000000000000001, 21.3703314045239347712`4.000000000000001}\)], "Output"] }, Open ]], Cell["\<\ Compare with Jackson's \"exact\" values {48.87, 47.18, 38.34, 19.81}\ \>", "Text"] }, Closed]], Cell[CellGroupData[{ Cell["Surface charge on Inner Surface", "Subsubsection"], Cell["\<\ First determine surface charge density on inner surface. We use a 3-point \ differentiation formula f'[1] = (-3f[1]+4f[2]-f[3])/2h to determine normal component of the electric field. The points [1], [2], \ etc, are points on the inner surface hust above the points [1], [2], ... at \ which the potential was eveluated.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\[Sigma][ 1]\ = \ \(-\((\(-3\) V + 4 \[Phi][1])\)\) \[Epsilon]\_0/\((2 h)\) /. \ sola\)], "Input"], Cell[BoxData[ \(\(1961\ V\ \[Epsilon]\_0\)\/\(3802\ h\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\[Sigma][ 2] = \ \(-\((\(-3\) V + 4 \[Phi][2])\)\) \[Epsilon]\_0/\((2 h)\) /. \ sola\)], "Input"], Cell[BoxData[ \(\(2051\ V\ \[Epsilon]\_0\)\/\(3802\ h\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\[Sigma][ 3]\ = \ \(-\((\(-3\) V + 4 \[Phi][3])\)\) \[Epsilon]\_0/\((2 h)\) /. \ sola\)], "Input"], Cell[BoxData[ \(\(2591\ V\ \[Epsilon]\_0\)\/\(3802\ h\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(ListPlot[ Table[h\ \[Sigma][i]/\[Epsilon]\_0\ /. 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", "Subsubsection"], Cell["\<\ We desire to integrate a function f[x] from 0 to 4h, but the value of f[0] is \ unknown. To remedy the situation, we run a cubic interpolating polynomial \ through the points f[h], f[2h], f[3h], f[4h] and integrate the interpolation \ polynomial from 0 to 4h. \ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(p\ = \ Product[\((x - i\ h)\), {i, 1, 4}]\)], "Input"], Cell[BoxData[ \(\((\(-4\)\ h + x)\)\ \((\(-3\)\ h + x)\)\ \((\(-2\)\ h + x)\)\ \((\(-h\) + x)\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(pol\ = \ 0\)], "Input"], Cell[BoxData[ \(0\)], "Output"] }, Open ]], Cell[BoxData[ \(Do[{num = p/\((x - i\ h)\), den = num /. x \[Rule] i\ h, \ pol = pol + num\ f[i]/den}, {i, 1, 4}]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(pol\)], "Input"], Cell[BoxData[ \(\(-\(\(\((\(-4\)\ h + x)\)\ \((\(-3\)\ h + x)\)\ \((\(-2\)\ h + x)\)\ f[ 1]\)\/\(6\ h\^3\)\)\) + \(\((\(-4\)\ h + x)\)\ \((\(-3\)\ h + \ x)\)\ \((\(-h\) + x)\)\ f[2]\)\/\(2\ h\^3\) - \(\((\(-4\)\ h + x)\)\ \ \((\(-2\)\ h + x)\)\ \((\(-h\) + x)\)\ f[3]\)\/\(2\ h\^3\) + \(\((\(-3\)\ h + \ x)\)\ \((\(-2\)\ h + x)\)\ \((\(-h\) + x)\)\ f[4]\)\/\(6\ h\^3\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Integrate[pol, {x, 0, 4 h}]\)], "Input"], Cell[BoxData[ \(8\/3\ h\ f[1] - 4\/3\ h\ f[2] + 8\/3\ h\ f[3]\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Total charge on outer surface using above quadrature rule & Capacitance\ \>", "Subsubsection"], Cell[CellGroupData[{ Cell[BoxData[ \(qo = 8\ h\ \((4/3)\) \((2\ \(\[Sigma]'\)[4] - \(\[Sigma]'\)[3] + 2 \( \[Sigma]'\)[2])\)\)], "Input"], Cell[BoxData[ \(\(-\(\(63760\ V\ \[Epsilon]\_0\)\/5703\)\)\)], "Output"] }, Open ]], Cell["\<\ Note that the prediction of the total charge on each surbace is different. We \ use an average\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(qi/\((\(\[Epsilon]\_0\) V)\) // N\)], "Input"], Cell[BoxData[ \(8.94687006838506`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(qo/\((\(\[Epsilon]\_0\) V)\) // N\)], "Input"], Cell[BoxData[ \(\(-11.180080659302122`\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(q\ = \ \((qi - qo)\)/2\)], "Input"], Cell[BoxData[ \(\(57392\ V\ \[Epsilon]\_0\)\/5703\)], "Output"] }, Open ]], Cell[TextData[{ "The capcitance/length (in units of ", Cell[BoxData[ \(TraditionalForm\`\[Epsilon]\_0\)]], ") is" }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(N[c\ = \ q/\((\(\[Epsilon]\_0\) V)\), 4]\)], "Input"], Cell[BoxData[ \(10.0634753638435910924`4.000000000000002\)], "Output"] }, Open ]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["21 point calculation & more!", "Subsection"], Cell[CellGroupData[{ Cell["Initialize the potential array", "Subsubsection"], Cell["\<\ The potential is defined on a grid \[Phi][i,j], i=0..8, j=0..4. In the code \ below, m = 4 k, k = 1,2,3,... Put m = 4 to solve the previous 4-point problem, put m = 8 to solve the \ 21-point problem, put m = 16 to halve the grid once again. \ \>", "Text"], Cell["\<\ As a first step, we fill in boundary values.\ \>", "Text"], Cell[BoxData[ \(Clear["\<`*\>"]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(m = 32\)], "Input"], Cell[BoxData[ \(32\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(n = m/2\)], "Input"], Cell[BoxData[ \(16\)], "Output"] }, Open ]], Cell[BoxData[ \(Do[\[Phi][i, 0] = 0, {i, 0, m + 1}]\)], "Input"], Cell[BoxData[ \(Do[\[Phi][0, j] = 0, {j, 1, n}]\)], "Input"], Cell[BoxData[ \(Do[\[Phi][i, n] = V, {i, n, m + 1}]\)], "Input"], Cell[BoxData[ \(Do[Do[\[Phi][i, j] = \[Phi][j, i], {i, 1, j - 1}], {j, 2, n}]\)], "Input"], Cell[BoxData[ \(Do[\[Phi][m + 1, j] = \[Phi][m - 1, j], {j, 1, n - 1}]\)], "Input"], Cell[BoxData[ \(Table[\[Phi][i, j], {i, 0, m + 1}, {j, 0, n}] // TableForm\)], "Input"] }, Open ]], Cell[CellGroupData[{ Cell["Corner sums", "Subsubsection"], Cell[BoxData[ \(Do[c[i, j] = \[Phi][i - 1, j] + \[Phi][i + 1, j] + \[Phi][i, j - 1] + \[Phi][i, j + 1], {i, 1, m}, {j, 1, n - 1}]\)], "Input"], Cell[BoxData[ \(vars\ := \ Table[Table[\[Phi][i, j], {i, j, m}], {j, 1, n - 1}] // Flatten\)], "Input"] }, Open ]], Cell[CellGroupData[{ Cell["Side Sums", "Subsubsection"], Cell["Now evaluate the diagonal sums", "Text"], Cell[BoxData[ \(Do[s[i, j] = \[Phi][i - 1, j - 1] + \[Phi][i + 1, j + 1] + \[Phi][i - 1, j + 1] + \[Phi][i + 1, j - 1], {i, 1, m}, {j, 1, n - 1}]\)], "Input"] }, Open ]], Cell[CellGroupData[{ Cell["Average the two and solve for potential", "Subsubsection"], Cell["Form the average array", "Text"], Cell[BoxData[ \(Do[a[i, j] = \((4 c[i, j] + s[i, j])\)/20, {i, 1, m}, {j, 1, n - 1}]\)], "Input"], Cell["Set up the equations", "Text"], Cell[BoxData[ \(eqa\ := \ Table[Table[a[i, j] \[Equal] \[Phi][i, j], {i, j, m}], {j, 1, n - 1}] // Flatten\)], "Input"], Cell["Solve the equations exactly", "Text"], Cell[BoxData[ 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.568 .4146 .58136 .40269 .56199 Metetra .158 .382 .831 r .40269 .56199 .4146 .58136 .43469 .59568 .42279 .57505 Metetra .159 .367 .819 r .42279 .57505 .43469 .59568 .45511 .61119 .44321 .58914 Metetra .157 .35 .805 r .44321 .58914 .45511 .61119 .47588 .62818 .46396 .60448 Metetra .151 .33 .789 r .46396 .60448 .47588 .62818 .49702 .64712 .48506 .62139 Metetra .142 .305 .77 r .48506 .62139 .49702 .64712 .51858 .66873 .50656 .64031 Metetra .134 .278 .747 r .50656 .64031 .51858 .66873 .54062 .69444 .52848 .66184 Metetra .146 .258 .723 r .52848 .66184 .54062 .69444 .56327 .72785 .55089 .6864 Metetra .291 .31 .709 r .55089 .6864 .56327 .72785 .58697 .78377 .57376 .70968 Metetra .524 .399 .651 r .57376 .70968 .58697 .78377 .60985 .77763 .59676 .71837 Metetra .566 .447 .676 r .59676 .71837 .60985 .77763 .63289 .77145 .61985 .71884 Metetra .586 .472 .691 r .61985 .71884 .63289 .77145 .65608 .76523 .64306 .71627 Metetra .596 .487 .7 r .64306 .71627 .65608 .76523 .67944 .75896 .66642 .71228 Metetra .603 .497 .706 r .66642 .71228 .67944 .75896 .70297 .75265 .68994 .70747 Metetra .607 .504 .711 r .68994 .70747 .70297 .75265 .72665 .7463 .71361 .70216 Metetra .61 .509 .715 r .71361 .70216 .72665 .7463 .75051 .7399 .73745 .69649 Metetra .612 .513 .717 r .73745 .69649 .75051 .7399 .77453 .73345 .76145 .69056 Metetra .614 .516 .719 r .76145 .69056 .77453 .73345 .79872 .72696 .78561 .68443 Metetra .615 .518 .721 r .78561 .68443 .79872 .72696 .82309 .72043 .80995 .67814 Metetra .616 .52 .722 r .80995 .67814 .82309 .72043 .84763 .71384 .83446 .6717 Metetra .617 .521 .723 r .83446 .6717 .84763 .71384 .87234 .70721 .85914 .66515 Metetra .617 .522 .724 r .85914 .66515 .87234 .70721 .89723 .70054 .88399 .65848 Metetra .618 .523 .725 r .88399 .65848 .89723 .70054 .9223 .69381 .90902 .65172 Metetra .618 .524 .725 r .90902 .65172 .9223 .69381 .94756 .68703 .93422 .64486 Metetra .619 .524 .725 r .93422 .64486 .94756 .68703 .97299 .68021 .95961 .6379 Metetra .619 .525 .725 r .95961 .6379 .97299 .68021 .99862 .67334 .98518 .63085 Metetra .057 .442 .876 r .23951 .46643 .25188 .47834 .26983 .48762 .25753 .47482 Metetra .095 .449 .882 r .25753 .47482 .26983 .48762 .28803 .4971 .27579 .48339 Metetra .126 .452 .884 r .27579 .48339 .28803 .4971 .30647 .50682 .29429 .49217 Metetra .153 .451 .882 r .29429 .49217 .30647 .50682 .32518 .51687 .31305 .50124 Metetra .174 .448 .877 r .31305 .50124 .32518 .51687 .34414 .52732 .33206 .51067 Metetra .192 .442 .87 r .33206 .51067 .34414 .52732 .36338 .53825 .35134 .52051 Metetra .206 .435 .861 r .35134 .52051 .36338 .53825 .38289 .54977 .37088 .53086 Metetra .217 .426 .851 r .37088 .53086 .38289 .54977 .40269 .56199 .3907 .54181 Metetra .226 .415 .84 r .3907 .54181 .40269 .56199 .42279 .57505 .41082 .55346 Metetra .233 .404 .828 r .41082 .55346 .42279 .57505 .44321 .58914 .43123 .56594 Metetra .239 .391 .814 r .43123 .56594 .44321 .58914 .46396 .60448 .45197 .57936 Metetra .247 .377 .799 r .45197 .57936 .46396 .60448 .48506 .62139 .47304 .59388 Metetra .259 .365 .782 r .47304 .59388 .48506 .62139 .50656 .64031 .49448 .60958 Metetra .283 .358 .764 r .49448 .60958 .50656 .64031 .52848 .66184 .5163 .62634 Metetra .334 .364 .743 r .5163 .62634 .52848 .66184 .55089 .6864 .53851 .64324 Metetra .421 .389 .717 r .53851 .64324 .55089 .6864 .57376 .70968 .5611 .65756 Metetra .504 .418 .692 r .5611 .65756 .57376 .70968 .59676 .71837 .58394 .66602 Metetra .546 .446 .692 r .58394 .66602 .59676 .71837 .61985 .71884 .60696 .6691 Metetra .57 .467 .699 r .60696 .6691 .61985 .71884 .64306 .71627 .63014 .66879 Metetra .584 .483 .705 r .63014 .66879 .64306 .71627 .66642 .71228 .65347 .66646 Metetra .594 .493 .71 r .65347 .66646 .66642 .71228 .68994 .70747 .67696 .66285 Metetra .6 .501 .713 r .67696 .66285 .68994 .70747 .71361 .70216 .70061 .65841 Metetra .605 .507 .716 r .70061 .65841 .71361 .70216 .73745 .69649 .72442 .65336 Metetra .608 .511 .719 r .72442 .65336 .73745 .69649 .76145 .69056 .74839 .64788 Metetra .611 .514 .72 r .74839 .64788 .76145 .69056 .78561 .68443 .77253 .64206 Metetra .613 .517 .722 r .77253 .64206 .78561 .68443 .80995 .67814 .79683 .63597 Metetra .614 .519 .723 r .79683 .63597 .80995 .67814 .83446 .6717 .8213 .62966 Metetra .615 .521 .724 r .8213 .62966 .83446 .6717 .85914 .66515 .84594 .62316 Metetra .616 .522 .725 r .84594 .62316 .85914 .66515 .88399 .65848 .87076 .6165 Metetra .617 .523 .725 r .87076 .6165 .88399 .65848 .90902 .65172 .89574 .60969 Metetra .618 .524 .725 r .89574 .60969 .90902 .65172 .93422 .64486 .9209 .60273 Metetra .619 .524 .725 r .9209 .60273 .93422 .64486 .95961 .6379 .94624 .59565 Metetra .619 .525 .725 r .94624 .59565 .95961 .6379 .98518 .63085 .97175 .58843 Metetra .118 .481 .898 r .227 .45438 .23951 .46643 .25753 .47482 .24509 .46183 Metetra .154 .485 .901 r .24509 .46183 .25753 .47482 .27579 .48339 .26342 .46942 Metetra .185 .485 .899 r .26342 .46942 .27579 .48339 .29429 .49217 .282 .47721 Metetra .21 .483 .894 r .282 .47721 .29429 .49217 .31305 .50124 .30081 .48524 Metetra .231 .478 .887 r .30081 .48524 .31305 .50124 .33206 .51067 .31988 .49357 Metetra .249 .472 .878 r .31988 .49357 .33206 .51067 .35134 .52051 .3392 .50225 Metetra .263 .464 .868 r .3392 .50225 .35134 .52051 .37088 .53086 .35878 .51136 Metetra .276 .455 .857 r .35878 .51136 .37088 .53086 .3907 .54181 .37863 .52095 Metetra .287 .445 .845 r .37863 .52095 .3907 .54181 .41082 .55346 .39876 .53109 Metetra .297 .435 .832 r .39876 .53109 .41082 .55346 .43123 .56594 .41919 .54183 Metetra .308 .425 .818 r .41919 .54183 .43123 .56594 .45197 .57936 .43992 .55323 Metetra .322 .416 .803 r .43992 .55323 .45197 .57936 .47304 .59388 .46097 .56529 Metetra .341 .409 .787 r .46097 .56529 .47304 .59388 .49448 .60958 .48236 .57787 Metetra .369 .406 .769 r .48236 .57787 .49448 .60958 .5163 .62634 .5041 .59063 Metetra .41 .411 .749 r .5041 .59063 .5163 .62634 .53851 .64324 .52618 .60271 Metetra .46 .423 .73 r .52618 .60271 .53851 .64324 .5611 .65756 .5486 .61274 Metetra .506 .438 .714 r .5486 .61274 .5611 .65756 .58394 .66602 .5713 .61949 Metetra .539 .455 .709 r .5713 .61949 .58394 .66602 .60696 .6691 .59421 .62281 Metetra .561 .47 .709 r .59421 .62281 .60696 .6691 .63014 .66879 .61732 .62338 Metetra .576 .483 .712 r .61732 .62338 .63014 .66879 .65347 .66646 .6406 .62195 Metetra .587 .493 .714 r .6406 .62195 .65347 .66646 .67696 .66285 .66405 .61911 Metetra .595 .5 .717 r .66405 .61911 .67696 .66285 .70061 .65841 .68766 .61527 Metetra .601 .506 .719 r .68766 .61527 .70061 .65841 .72442 .65336 .71143 .61068 Metetra .605 .51 .721 r .71143 .61068 .72442 .65336 .74839 .64788 .73537 .60553 Metetra .608 .514 .722 r .73537 .60553 .74839 .64788 .77253 .64206 .75947 .59995 Metetra .611 .517 .723 r .75947 .59995 .77253 .64206 .79683 .63597 .78373 .59401 Metetra .613 .519 .724 r .78373 .59401 .79683 .63597 .8213 .62966 .80817 .58779 Metetra .614 .521 .725 r .80817 .58779 .8213 .62966 .84594 .62316 .83277 .58132 Metetra .616 .522 .725 r .83277 .58132 .84594 .62316 .87076 .6165 .85754 .57464 Metetra .617 .523 .725 r .85754 .57464 .87076 .6165 .89574 .60969 .88248 .56776 Metetra .618 .524 .726 r .88248 .56776 .89574 .60969 .9209 .60273 .90759 .56071 Metetra .619 .525 .726 r .90759 .56071 .9209 .60273 .94624 .59565 .93287 .55349 Metetra .619 .525 .726 r .93287 .55349 .94624 .59565 .97175 .58843 .95833 .5461 Metetra .179 .518 .917 r .21434 .4422 .227 .45438 .24509 .46183 .23252 .44865 Metetra .213 .519 .916 r .23252 .44865 .24509 .46183 .26342 .46942 .25093 .45522 Metetra .242 .517 .911 r .25093 .45522 .26342 .46942 .282 .47721 .26958 .46195 Metetra .265 .512 .903 r .26958 .46195 .282 .47721 .30081 .48524 .28846 .46888 Metetra .285 .506 .894 r .28846 .46888 .30081 .48524 .31988 .49357 .30759 .47607 Metetra .301 .498 .883 r .30759 .47607 .31988 .49357 .3392 .50225 .32696 .48354 Metetra .316 .49 .872 r .32696 .48354 .3392 .50225 .35878 .51136 .34659 .49134 Metetra .328 .481 .86 r .34659 .49134 .35878 .51136 .37863 .52095 .36648 .49952 Metetra .34 .471 .847 r .36648 .49952 .37863 .52095 .39876 .53109 .38664 .50809 Metetra .351 .462 .833 r .38664 .50809 .39876 .53109 .41919 .54183 .40708 .51709 Metetra .364 .453 .819 r .40708 .51709 .41919 .54183 .43992 .55323 .42781 .52648 Metetra .379 .446 .804 r .42781 .52648 .43992 .55323 .46097 .56529 .44885 .53619 Metetra .398 .441 .788 r .44885 .53619 .46097 .56529 .48236 .57787 .4702 .54603 Metetra .422 .439 .772 r .4702 .54603 .48236 .57787 .5041 .59063 .49188 .55564 Metetra .452 .441 .755 r .49188 .55564 .5041 .59063 .52618 .60271 .51387 .56443 Metetra .484 .446 .74 r .51387 .56443 .52618 .60271 .5486 .61274 .53618 .57165 Metetra .514 .455 .728 r .53618 .57165 .5486 .61274 .5713 .61949 .55875 .57671 Metetra .539 .466 .722 r .55875 .57671 .5713 .61949 .59421 .62281 .58157 .57942 Metetra .558 .477 .719 r .58157 .57942 .59421 .62281 .61732 .62338 .60459 .58002 Metetra .573 .486 .719 r .60459 .58002 .61732 .62338 .6406 .62195 .6278 .57888 Metetra .584 .494 .72 r .6278 .57888 .6406 .62195 .66405 .61911 .65119 .5764 Metetra .592 .501 .721 r .65119 .5764 .66405 .61911 .68766 .61527 .67475 .57288 Metetra .598 .506 .722 r .67475 .57288 .68766 .61527 .71143 .61068 .69848 .56856 Metetra .603 .511 .723 r .69848 .56856 .71143 .61068 .73537 .60553 .72238 .56361 Metetra .606 .514 .724 r .72238 .56361 .73537 .60553 .75947 .59995 .74644 .55817 Metetra .609 .517 .724 r .74644 .55817 .75947 .59995 .78373 .59401 .77066 .55232 Metetra .611 .519 .725 r .77066 .55232 .78373 .59401 .80817 .58779 .79505 .54613 Metetra .613 .521 .725 r .79505 .54613 .80817 .58779 .83277 .58132 .81961 .53965 Metetra .615 .522 .726 r .81961 .53965 .83277 .58132 .85754 .57464 .84434 .53293 Metetra .616 .523 .726 r .84434 .53293 .85754 .57464 .88248 .56776 .86923 .52597 Metetra .618 .524 .726 r .86923 .52597 .88248 .56776 .90759 .56071 .8943 .51882 Metetra .619 .525 .726 r .8943 .51882 .90759 .56071 .93287 .55349 .91953 .51146 Metetra .62 .526 .726 r .91953 .51146 .93287 .55349 .95833 .5461 .94493 .5039 Metetra .24 .553 .931 r .20154 .42987 .21434 .4422 .23252 .44865 .21981 .43528 Metetra .27 .55 .927 r .21981 .43528 .23252 .44865 .25093 .45522 .23831 .44079 Metetra .296 .545 .919 r .23831 .44079 .25093 .45522 .26958 .46195 .25704 .44642 Metetra .317 .539 .909 r .25704 .44642 .26958 .46195 .28846 .46888 .276 .45222 Metetra .335 .531 .898 r .276 .45222 .28846 .46888 .30759 .47607 .2952 .45821 Metetra .35 .522 .886 r .2952 .45821 .30759 .47607 .32696 .48354 .31463 .46443 Metetra .363 .513 .873 r .31463 .46443 .32696 .48354 .34659 .49134 .33431 .4709 Metetra .375 .504 .86 r .33431 .4709 .34659 .49134 .36648 .49952 .35425 .47763 Metetra .386 .494 .847 r .35425 .47763 .36648 .49952 .38664 .50809 .37444 .48465 Metetra .397 .485 .833 r .37444 .48465 .38664 .50809 .40708 .51709 .3949 .49191 Metetra .409 .477 .819 r .3949 .49191 .40708 .51709 .42781 .52648 .41565 .49939 Metetra .423 .47 .804 r .41565 .49939 .42781 .52648 .44885 .53619 .43668 .50696 Metetra .44 .465 .79 r .43668 .50696 .44885 .53619 .4702 .54603 .45801 .51444 Metetra .459 .463 .775 r .45801 .51444 .4702 .54603 .49188 .55564 .47964 .52153 Metetra .48 .463 .761 r .47964 .52153 .49188 .55564 .51387 .56443 .50157 .52783 Metetra .503 .466 .748 r .50157 .52783 .51387 .56443 .53618 .57165 .52378 .53292 Metetra .525 .471 .738 r .52378 .53292 .53618 .57165 .55875 .57671 .54626 .53644 Metetra .544 .477 .731 r .54626 .53644 .55875 .57671 .58157 .57942 .56899 .53826 Metetra .56 .485 .727 r .56899 .53826 .58157 .57942 .60459 .58002 .59193 .53845 Metetra .572 .492 .725 r .59193 .53845 .60459 .58002 .6278 .57888 .61507 .53719 Metetra .582 .498 .725 r .61507 .53719 .6278 .57888 .65119 .5764 .63839 .53473 Metetra .59 .503 .725 r .63839 .53473 .65119 .5764 .67475 .57288 .6619 .53129 Metetra .596 .508 .725 r .6619 .53129 .67475 .57288 .69848 .56856 .68557 .52705 Metetra .601 .512 .725 r .68557 .52705 .69848 .56856 .72238 .56361 .70942 .52217 Metetra .605 .515 .726 r .70942 .52217 .72238 .56361 .74644 .55817 .73343 .51677 Metetra .608 .517 .726 r .73343 .51677 .74644 .55817 .77066 .55232 .75761 .51093 Metetra .611 .519 .726 r .75761 .51093 .77066 .55232 .79505 .54613 .78196 .50472 Metetra .613 .521 .727 r .78196 .50472 .79505 .54613 .81961 .53965 .80647 .4982 Metetra .615 .523 .727 r .80647 .4982 .81961 .53965 .84434 .53293 .83115 .4914 Metetra .616 .524 .727 r .83115 .4914 .84434 .53293 .86923 .52597 .856 .48435 Metetra .617 .525 .727 r .856 .48435 .86923 .52597 .8943 .51882 .88102 .47708 Metetra .619 .526 .727 r .88102 .47708 .8943 .51882 .91953 .51146 .9062 .46958 Metetra .62 .526 .727 r .9062 .46958 .91953 .51146 .94493 .5039 .93155 .46186 Metetra .298 .585 .942 r .18858 .41741 .20154 .42987 .21981 .43528 .20696 .42173 Metetra .325 .579 .934 r .20696 .42173 .21981 .43528 .23831 .44079 .22556 .42613 Metetra .347 .571 .924 r .22556 .42613 .23831 .44079 .25704 .44642 .24438 .43064 Metetra .365 .563 .912 r .24438 .43064 .25704 .44642 .276 .45222 .26343 .43527 Metetra .38 .553 .899 r .26343 .43527 .276 .45222 .2952 .45821 .2827 .44004 Metetra .394 .544 .886 r .2827 .44004 .2952 .45821 .31463 .46443 .3022 .44498 Metetra .405 .534 .873 r .3022 .44498 .31463 .46443 .33431 .4709 .32194 .4501 Metetra .416 .524 .86 r .32194 .4501 .33431 .4709 .35425 .47763 .34193 .4554 Metetra .426 .514 .846 r .34193 .4554 .35425 .47763 .37444 .48465 .36216 .46087 Metetra .436 .506 .832 r .36216 .46087 .37444 .48465 .3949 .49191 .38266 .46647 Metetra .447 .497 .818 r .38266 .46647 .3949 .49191 .41565 .49939 .40342 .47215 Metetra .458 .491 .805 r .40342 .47215 .41565 .49939 .43668 .50696 .42445 .47778 Metetra .472 .485 .791 r .42445 .47778 .43668 .50696 .45801 .51444 .44577 .48321 Metetra .487 .482 .778 r .44577 .48321 .45801 .51444 .47964 .52153 .46737 .4882 Metetra .503 .481 .765 r .46737 .4882 .47964 .52153 .50157 .52783 .48924 .4925 Metetra .52 .482 .754 r .48924 .4925 .50157 .52783 .52378 .53292 .51139 .49582 Metetra .536 .484 .745 r .51139 .49582 .52378 .53292 .54626 .53644 .5338 .49796 Metetra .55 .488 .739 r .5338 .49796 .54626 .53644 .56899 .53826 .55644 .49879 Metetra .563 .493 .734 r .55644 .49879 .56899 .53826 .59193 .53845 .57931 .49835 Metetra .574 .498 .731 r .57931 .49835 .59193 .53845 .61507 .53719 .60238 .49672 Metetra .583 .502 .73 r .60238 .49672 .61507 .53719 .63839 .53473 .62564 .49405 Metetra .59 .507 .729 r .62564 .49405 .63839 .53473 .6619 .53129 .64908 .49048 Metetra .596 .51 .728 r .64908 .49048 .6619 .53129 .68557 .52705 .6727 .48617 Metetra .601 .514 .728 r .6727 .48617 .68557 .52705 .70942 .52217 .6965 .48123 Metetra .605 .516 .728 r .6965 .48123 .70942 .52217 .73343 .51677 .72046 .47577 Metetra .608 .518 .728 r .72046 .47577 .73343 .51677 .75761 .51093 .74459 .46987 Metetra .61 .52 .728 r .74459 .46987 .75761 .51093 .78196 .50472 .76889 .46359 Metetra .613 .522 .728 r .76889 .46359 .78196 .50472 .80647 .4982 .79336 .45698 Metetra .614 .523 .728 r .79336 .45698 .80647 .4982 .83115 .4914 .81799 .45008 Metetra .616 .524 .728 r .81799 .45008 .83115 .4914 .856 .48435 .84279 .44292 Metetra .618 .525 .727 r .84279 .44292 .856 .48435 .88102 .47708 .86776 .43551 Metetra .619 .526 .727 r .86776 .43551 .88102 .47708 .9062 .46958 .8929 .42787 Metetra .62 .527 .727 r .8929 .42787 .9062 .46958 .93155 .46186 .9182 .41999 Metetra .353 .613 .948 r .17548 .40479 .18858 .41741 .20696 .42173 .19397 .40801 Metetra .375 .604 .938 r .19397 .40801 .20696 .42173 .22556 .42613 .21268 .41128 Metetra .394 .595 .925 r .21268 .41128 .22556 .42613 .24438 .43064 .2316 .41462 Metetra .409 .584 .912 r .2316 .41462 .24438 .43064 .26343 .43527 .25073 .41806 Metetra .422 .573 .899 r .25073 .41806 .26343 .43527 .2827 .44004 .27009 .4216 Metetra .433 .563 .885 r .27009 .4216 .2827 .44004 .3022 .44498 .28967 .42525 Metetra .443 .552 .872 r .28967 .42525 .3022 .44498 .32194 .4501 .30948 .42902 Metetra .452 .542 .858 r .30948 .42902 .32194 .4501 .34193 .4554 .32952 .4329 Metetra .46 .532 .844 r .32952 .4329 .34193 .4554 .36216 .46087 .3498 .43686 Metetra .469 .523 .831 r .3498 .43686 .36216 .46087 .38266 .46647 .37034 .44088 Metetra .478 .515 .817 r .37034 .44088 .38266 .46647 .40342 .47215 .39112 .44487 Metetra .487 .508 .804 r .39112 .44487 .40342 .47215 .42445 .47778 .41217 .44874 Metetra .498 .502 .792 r .41217 .44874 .42445 .47778 .44577 .48321 .43348 .45236 Metetra .51 .498 .78 r .43348 .45236 .44577 .48321 .46737 .4882 .45506 .45555 Metetra .522 .496 .769 r .45506 .45555 .46737 .4882 .48924 .4925 .4769 .45813 Metetra .534 .495 .759 r .4769 .45813 .48924 .4925 .51139 .49582 .49899 .45992 Metetra .547 .496 .751 r .49899 .45992 .51139 .49582 .5338 .49796 .52134 .46078 Metetra .558 .498 .744 r .52134 .46078 .5338 .49796 .55644 .49879 .54391 .46062 Metetra .568 .501 .74 r .54391 .46062 .55644 .49879 .57931 .49835 .56671 .45943 Metetra .577 .504 .736 r .56671 .45943 .57931 .49835 .60238 .49672 .58971 .45727 Metetra .585 .507 .734 r .58971 .45727 .60238 .49672 .62564 .49405 .61291 .45423 Metetra .591 .511 .732 r .61291 .45423 .62564 .49405 .64908 .49048 .6363 .45039 Metetra .597 .513 .731 r .6363 .45039 .64908 .49048 .6727 .48617 .65986 .44588 Metetra .601 .516 .73 r .65986 .44588 .6727 .48617 .6965 .48123 .6836 .44078 Metetra .605 .518 .73 r .6836 .44078 .6965 .48123 .72046 .47577 .70751 .43518 Metetra .608 .52 .729 r .70751 .43518 .72046 .47577 .74459 .46987 .73159 .42915 Metetra .611 .522 .729 r .73159 .42915 .74459 .46987 .76889 .46359 .75584 .42274 Metetra .613 .523 .729 r .75584 .42274 .76889 .46359 .79336 .45698 .78026 .416 Metetra .615 .524 .729 r .78026 .416 .79336 .45698 .81799 .45008 .80485 .40897 Metetra .616 .525 .728 r .80485 .40897 .81799 .45008 .84279 .44292 .8296 .40167 Metetra .618 .526 .728 r .8296 .40167 .84279 .44292 .86776 .43551 .85452 .39412 Metetra .619 .527 .728 r .85452 .39412 .86776 .43551 .8929 .42787 .87961 .38633 Metetra .62 .528 .728 r .87961 .38633 .8929 .42787 .9182 .41999 .90486 .3783 Metetra .403 .638 .951 r .16222 .39202 .17548 .40479 .19397 .40801 .18084 .39411 Metetra .422 .627 .938 r .18084 .39411 .19397 .40801 .21268 .41128 .19966 .39622 Metetra .437 .615 .925 r .19966 .39622 .21268 .41128 .2316 .41462 .21868 .39839 Metetra .449 .603 .911 r .21868 .39839 .2316 .41462 .25073 .41806 .23792 .40062 Metetra .46 .591 .897 r .23792 .40062 .25073 .41806 .27009 .4216 .25737 .40291 Metetra .469 .58 .883 r .25737 .40291 .27009 .4216 .28967 .42525 .27703 .40527 Metetra .477 .568 .869 r .27703 .40527 .28967 .42525 .30948 .42902 .29691 .4077 Metetra .484 .558 .856 r .29691 .4077 .30948 .42902 .32952 .4329 .31702 .41018 Metetra .491 .548 .842 r .31702 .41018 .32952 .4329 .3498 .43686 .33736 .41269 Metetra .498 .539 .829 r .33736 .41269 .3498 .43686 .37034 .44088 .35794 .41519 Metetra .505 .53 .816 r .35794 .41519 .37034 .44088 .39112 .44487 .37876 .41761 Metetra .512 .523 .804 r .37876 .41761 .39112 .44487 .41217 .44874 .39982 .41986 Metetra .521 .517 .792 r .39982 .41986 .41217 .44874 .43348 .45236 .42114 .42185 Metetra .529 .513 .781 r .42114 .42185 .43348 .45236 .45506 .45555 .4427 .42345 Metetra .539 .509 .771 r .4427 .42345 .45506 .45555 .4769 .45813 .46451 .42451 Metetra .548 .508 .763 r .46451 .42451 .4769 .45813 .49899 .45992 .48657 .42493 Metetra .557 .507 .755 r .48657 .42493 .49899 .45992 .52134 .46078 .50887 .42459 Metetra .566 .508 .749 r .50887 .42459 .52134 .46078 .54391 .46062 .53139 .42344 Metetra .574 .509 .744 r .53139 .42344 .54391 .46062 .56671 .45943 .55413 .42147 Metetra .582 .511 .74 r .55413 .42147 .56671 .45943 .58971 .45727 .57707 .41869 Metetra .588 .513 .737 r .57707 .41869 .58971 .45727 .61291 .45423 .60021 .41516 Metetra .594 .515 .735 r .60021 .41516 .61291 .45423 .6363 .45039 .62353 .41095 Metetra .598 .517 .733 r .62353 .41095 .6363 .45039 .65986 .44588 .64704 .40613 Metetra .602 .519 .732 r .64704 .40613 .65986 .44588 .6836 .44078 .67072 .40078 Metetra .606 .52 .731 r .67072 .40078 .6836 .44078 .70751 .43518 .69458 .39497 Metetra .609 .522 .731 r .69458 .39497 .70751 .43518 .73159 .42915 .71861 .38874 Metetra .611 .523 .73 r .71861 .38874 .73159 .42915 .75584 .42274 .74281 .38216 Metetra .613 .524 .73 r .74281 .38216 .75584 .42274 .78026 .416 .76718 .37526 Metetra .615 .525 .73 r .76718 .37526 .78026 .416 .80485 .40897 .79172 .36807 Metetra .616 .526 .729 r .79172 .36807 .80485 .40897 .8296 .40167 .81642 .36062 Metetra .618 .527 .729 r .81642 .36062 .8296 .40167 .85452 .39412 .8413 .35292 Metetra .619 .528 .729 r .8413 .35292 .85452 .39412 .87961 .38633 .86634 .34498 Metetra .621 .528 .729 r .86634 .34498 .87961 .38633 .90486 .3783 .89154 .3368 Metetra .45 .659 .95 r .1488 .37911 .16222 .39202 .18084 .39411 .16755 .38004 Metetra .464 .646 .937 r .16755 .38004 .18084 .39411 .19966 .39622 .1865 .38098 Metetra .476 .633 .922 r .1865 .38098 .19966 .39622 .21868 .39839 .20564 .38196 Metetra .486 .62 .908 r .20564 .38196 .21868 .39839 .23792 .40062 .22498 .38296 Metetra .494 .607 .894 r .22498 .38296 .23792 .40062 .25737 .40291 .24453 .384 Metetra .501 .595 .88 r .24453 .384 .25737 .40291 .27703 .40527 .26429 .38508 Metetra .507 .583 .866 r .26429 .38508 .27703 .40527 .29691 .4077 .28425 .38618 Metetra .512 .572 .853 r .28425 .38618 .29691 .4077 .31702 .41018 .30443 .3873 Metetra .518 .562 .84 r .30443 .3873 .31702 .41018 .33736 .41269 .32483 .3884 Metetra .523 .552 .827 r .32483 .3884 .33736 .41269 .35794 .41519 .34546 .38944 Metetra .528 .544 .815 r .34546 .38944 .35794 .41519 .37876 .41761 .36632 .39038 Metetra .534 .536 .804 r .36632 .39038 .37876 .41761 .39982 .41986 .38741 .39114 Metetra .54 .53 .793 r .38741 .39114 .39982 .41986 .42114 .42185 .40873 .39164 Metetra .547 .525 .783 r .40873 .39164 .42114 .42185 .4427 .42345 .4303 .39178 Metetra .554 .521 .773 r .4303 .39178 .4427 .42345 .46451 .42451 .45209 .39147 Metetra .561 .518 .765 r .45209 .39147 .46451 .42451 .48657 .42493 .47412 .39062 Metetra .568 .517 .758 r .47412 .39062 .48657 .42493 .50887 .42459 .49638 .38916 Metetra .575 .516 .752 r .49638 .38916 .50887 .42459 .53139 .42344 .51885 .38704 Metetra .581 .516 .747 r .51885 .38704 .53139 .42344 .55413 .42147 .54154 .38425 Metetra .587 .517 .743 r .54154 .38425 .55413 .42147 .57707 .41869 .56443 .38079 Metetra .592 .518 .74 r .56443 .38079 .57707 .41869 .60021 .41516 .58751 .37671 Metetra .597 .519 .738 r .58751 .37671 .60021 .41516 .62353 .41095 .61078 .37205 Metetra .601 .52 .736 r .61078 .37205 .62353 .41095 .64704 .40613 .63423 .36686 Metetra .604 .521 .734 r .63423 .36686 .64704 .40613 .67072 .40078 .65787 .36119 Metetra .607 .523 .733 r .65787 .36119 .67072 .40078 .69458 .39497 .68167 .35511 Metetra .61 .524 .732 r .68167 .35511 .69458 .39497 .71861 .38874 .70565 .34865 Metetra .612 .525 .731 r .70565 .34865 .71861 .38874 .74281 .38216 .7298 .34185 Metetra .614 .525 .731 r .7298 .34185 .74281 .38216 .76718 .37526 .75412 .33475 Metetra .615 .526 .73 r .75412 .33475 .76718 .37526 .79172 .36807 .77861 .32738 Metetra .617 .527 .73 r .77861 .32738 .79172 .36807 .81642 .36062 .80326 .31976 Metetra .618 .528 .73 r .80326 .31976 .81642 .36062 .8413 .35292 .82809 .31189 Metetra .62 .529 .73 r .82809 .31189 .8413 .35292 .86634 .34498 .85308 .3038 Metetra .621 .529 .729 r .85308 .3038 .86634 .34498 .89154 .3368 .87824 .29547 Metetra .492 .677 .947 r .13522 .36604 .1488 .37911 .16755 .38004 .15411 .3658 Metetra .503 .662 .933 r .15411 .3658 .16755 .38004 .1865 .38098 .17319 .36556 Metetra .512 .648 .918 r .17319 .36556 .1865 .38098 .20564 .38196 .19246 .36533 Metetra .519 .634 .904 r .19246 .36533 .20564 .38196 .22498 .38296 .21192 .36511 Metetra .525 .621 .89 r .21192 .36511 .22498 .38296 .24453 .384 .23158 .3649 Metetra .53 .608 .876 r .23158 .3649 .24453 .384 .26429 .38508 .25143 .3647 Metetra .534 .596 .862 r .25143 .3647 .26429 .38508 .28425 .38618 .27149 .36449 Metetra .538 .585 .849 r .27149 .36449 .28425 .38618 .30443 .3873 .29175 .36427 Metetra .542 .574 .837 r .29175 .36427 .30443 .3873 .32483 .3884 .31222 .364 Metetra .546 .565 .825 r .31222 .364 .32483 .3884 .34546 .38944 .3329 .36366 Metetra .549 .556 .813 r .3329 .36366 .34546 .38944 .36632 .39038 .3538 .36319 Metetra .553 .548 .803 r .3538 .36319 .36632 .39038 .38741 .39114 .37492 .36254 Metetra .558 .542 .793 r .37492 .36254 .38741 .39114 .40873 .39164 .39627 .36165 Metetra .563 .536 .783 r .39627 .36165 .40873 .39164 .4303 .39178 .41784 .36045 Metetra .568 .532 .775 r .41784 .36045 .4303 .39178 .45209 .39147 .43963 .35886 Metetra .573 .528 .767 r .43963 .35886 .45209 .39147 .47412 .39062 .46164 .35683 Metetra .578 .526 .76 r .46164 .35683 .47412 .39062 .49638 .38916 .48387 .3543 Metetra .583 .524 .754 r .48387 .3543 .49638 .38916 .51885 .38704 .5063 .35123 Metetra .588 .523 .75 r .5063 .35123 .51885 .38704 .54154 .38425 .52895 .34762 Metetra .592 .523 .746 r .52895 .34762 .54154 .38425 .56443 .38079 .55179 .34346 Metetra .597 .523 .742 r .55179 .34346 .56443 .38079 .58751 .37671 .57482 .33878 Metetra .6 .523 .74 r .57482 .33878 .58751 .37671 .61078 .37205 .59804 .33362 Metetra .603 .524 .738 r .59804 .33362 .61078 .37205 .63423 .36686 .62144 .328 Metetra .606 .524 .736 r .62144 .328 .63423 .36686 .65787 .36119 .64502 .32196 Metetra .609 .525 .735 r .64502 .32196 .65787 .36119 .68167 .35511 .66877 .31556 Metetra .611 .526 .733 r .66877 .31556 .68167 .35511 .70565 .34865 .6927 .30881 Metetra .613 .526 .733 r .6927 .30881 .70565 .34865 .7298 .34185 .71679 .30177 Metetra .615 .527 .732 r .71679 .30177 .7298 .34185 .75412 .33475 .74106 .29445 Metetra .616 .528 .731 r .74106 .29445 .75412 .33475 .77861 .32738 .7655 .28688 Metetra .617 .528 .731 r .7655 .28688 .77861 .32738 .80326 .31976 .79011 .27907 Metetra .619 .529 .731 r .79011 .27907 .80326 .31976 .82809 .31189 .81489 .27103 Metetra .62 .529 .73 r .81489 .27103 .82809 .31189 .85308 .3038 .83984 .26278 Metetra .621 .53 .73 r .83984 .26278 .85308 .3038 .87824 .29547 .86495 .25431 Metetra .53 .692 .942 r .12148 .35281 .13522 .36604 .15411 .3658 .14052 .35139 Metetra .538 .676 .928 r .14052 .35139 .15411 .3658 .17319 .36556 .15975 .34995 Metetra .544 .661 .913 r .15975 .34995 .17319 .36556 .19246 .36533 .17915 .34851 Metetra .549 .647 .899 r .17915 .34851 .19246 .36533 .21192 .36511 .19873 .34706 Metetra .553 .633 .885 r .19873 .34706 .21192 .36511 .23158 .3649 .21851 .34561 Metetra .556 .62 .871 r .21851 .34561 .23158 .3649 .25143 .3647 .23846 .34413 Metetra .559 .608 .858 r .23846 .34413 .25143 .3647 .27149 .36449 .25862 .34264 Metetra .561 .596 .846 r .25862 .34264 .27149 .36449 .29175 .36427 .27896 .3411 Metetra .564 .585 .834 r .27896 .3411 .29175 .36427 .31222 .364 .29951 .33951 Metetra .566 .576 .822 r .29951 .33951 .31222 .364 .3329 .36366 .32026 .33782 Metetra .568 .567 .812 r .32026 .33782 .3329 .36366 .3538 .36319 .34121 .33601 Metetra .571 .559 .801 r .34121 .33601 .3538 .36319 .37492 .36254 .36237 .33403 Metetra .574 .552 .792 r .36237 .33403 .37492 .36254 .39627 .36165 .38374 .33184 Metetra .577 .546 .783 r .38374 .33184 .39627 .36165 .41784 .36045 .40532 .32937 Metetra .581 .541 .775 r .40532 .32937 .41784 .36045 .43963 .35886 .42712 .32658 Metetra .584 .537 .768 r .42712 .32658 .43963 .35886 .46164 .35683 .44912 .32342 Metetra .588 .534 .762 r .44912 .32342 .46164 .35683 .48387 .3543 .47132 .31986 Metetra .591 .531 .756 r .47132 .31986 .48387 .3543 .5063 .35123 .49373 .31587 Metetra .595 .53 .751 r .49373 .31587 .5063 .35123 .52895 .34762 .51634 .31144 Metetra .598 .529 .747 r .51634 .31144 .52895 .34762 .55179 .34346 .53914 .30657 Metetra .601 .528 .744 r .53914 .30657 .55179 .34346 .57482 .33878 .56212 .30126 Metetra .604 .527 .741 r .56212 .30126 .57482 .33878 .59804 .33362 .58529 .29556 Metetra .607 .527 .739 r .58529 .29556 .59804 .33362 .62144 .328 .60864 .28947 Metetra .609 .527 .737 r .60864 .28947 .62144 .328 .64502 .32196 .63217 .28303 Metetra .611 .528 .736 r .63217 .28303 .64502 .32196 .66877 .31556 .65587 .27627 Metetra .613 .528 .734 r .65587 .27627 .66877 .31556 .6927 .30881 .67975 .26921 Metetra .614 .528 .733 r .67975 .26921 .6927 .30881 .71679 .30177 .7038 .26189 Metetra .616 .528 .733 r .7038 .26189 .71679 .30177 .74106 .29445 .72802 .25433 Metetra .617 .529 .732 r .72802 .25433 .74106 .29445 .7655 .28688 .75241 .24653 Metetra .618 .529 .732 r .75241 .24653 .7655 .28688 .79011 .27907 .77697 .23853 Metetra .619 .53 .731 r .77697 .23853 .79011 .27907 .81489 .27103 .8017 .23031 Metetra .62 .53 .731 r .8017 .23031 .81489 .27103 .83984 .26278 .82661 .2219 Metetra .621 .531 .731 r .82661 .2219 .83984 .26278 .86495 .25431 .85168 .21329 Metetra .564 .705 .936 r .10757 .33942 .12148 .35281 .14052 .35139 .12677 .33681 Metetra .569 .688 .921 r .12677 .33681 .14052 .35139 .15975 .34995 .14615 .33417 Metetra .573 .673 .907 r .14615 .33417 .15975 .34995 .17915 .34851 .1657 .33151 Metetra .576 .658 .893 r .1657 .33151 .17915 .34851 .19873 .34706 .18541 .32884 Metetra .578 .644 .879 r .18541 .32884 .19873 .34706 .21851 .34561 .20531 .32613 Metetra .58 .63 .866 r .20531 .32613 .21851 .34561 .23846 .34413 .22538 .3234 Metetra .581 .618 .854 r .22538 .3234 .23846 .34413 .25862 .34264 .24564 .32063 Metetra .582 .606 .842 r .24564 .32063 .25862 .34264 .27896 .3411 .26608 .31781 Metetra .584 .596 .83 r .26608 .31781 .27896 .3411 .29951 .33951 .28671 .31492 Metetra .585 .586 .82 r .28671 .31492 .29951 .33951 .32026 .33782 .30753 .31194 Metetra .586 .577 .809 r .30753 .31194 .32026 .33782 .34121 .33601 .32854 .30883 Metetra .587 .568 .8 r .32854 .30883 .34121 .33601 .36237 .33403 .34974 .30558 Metetra .589 .561 .791 r .34974 .30558 .36237 .33403 .38374 .33184 .37115 .30213 Metetra .591 .555 .783 r .37115 .30213 .38374 .33184 .40532 .32937 .39275 .29846 Metetra .593 .549 .775 r .39275 .29846 .40532 .32937 .42712 .32658 .41455 .29453 Metetra .595 .545 .768 r .41455 .29453 .42712 .32658 .44912 .32342 .43655 .29029 Metetra .597 .541 .762 r .43655 .29029 .44912 .32342 .47132 .31986 .45874 .28574 Metetra .6 .538 .757 r .45874 .28574 .47132 .31986 .49373 .31587 .48113 .28084 Metetra .602 .536 .753 r .48113 .28084 .49373 .31587 .51634 .31144 .50371 .2756 Metetra .604 .534 .749 r .50371 .2756 .51634 .31144 .53914 .30657 .52647 .27 Metetra .606 .532 .745 r .52647 .27 .53914 .30657 .56212 .30126 .54941 .26406 Metetra .608 .531 .742 r .54941 .26406 .56212 .30126 .58529 .29556 .57254 .25779 Metetra .61 .531 .74 r .57254 .25779 .58529 .29556 .60864 .28947 .59585 .2512 Metetra .612 .53 .738 r .59585 .2512 .60864 .28947 .63217 .28303 .61933 .24433 Metetra .613 .53 .737 r .61933 .24433 .63217 .28303 .65587 .27627 .64298 .23719 Metetra .615 .53 .735 r .64298 .23719 .65587 .27627 .67975 .26921 .66681 .2298 Metetra .616 .53 .734 r .66681 .2298 .67975 .26921 .7038 .26189 .69081 .22219 Metetra .617 .53 .733 r .69081 .22219 .7038 .26189 .72802 .25433 .71498 .21436 Metetra .618 .53 .733 r .71498 .21436 .72802 .25433 .75241 .24653 .73932 .20633 Metetra .619 .53 .732 r .73932 .20633 .75241 .24653 .77697 .23853 .76384 .19811 Metetra .62 .53 .732 r .76384 .19811 .77697 .23853 .8017 .23031 .78852 .18972 Metetra .62 .531 .731 r .78852 .18972 .8017 .23031 .82661 .2219 .81338 .18115 Metetra .621 .531 .731 r .81338 .18115 .82661 .2219 .85168 .21329 .83841 .1724 Metetra .594 .715 .928 r .09349 .32587 .10757 .33942 .12677 .33681 .11287 .32205 Metetra .597 .698 .914 r .11287 .32205 .12677 .33681 .14615 .33417 .1324 .31821 Metetra .599 .682 .9 r .1324 .31821 .14615 .33417 .1657 .33151 .1521 .31433 Metetra .601 .667 .886 r .1521 .31433 .1657 .33151 .18541 .32884 .17196 .31043 Metetra .601 .653 .873 r .17196 .31043 .18541 .32884 .20531 .32613 .19199 .30648 Metetra .602 .64 .861 r .19199 .30648 .20531 .32613 .22538 .3234 .21219 .3025 Metetra .602 .627 .849 r .21219 .3025 .22538 .3234 .24564 .32063 .23255 .29847 Metetra .602 .615 .837 r .23255 .29847 .24564 .32063 .26608 .31781 .2531 .29438 Metetra .602 .605 .827 r .2531 .29438 .26608 .31781 .28671 .31492 .27381 .29022 Metetra .602 .595 .816 r .27381 .29022 .28671 .31492 .30753 .31194 .29471 .28597 Metetra .602 .585 .807 r .29471 .28597 .30753 .31194 .32854 .30883 .31579 .28162 Metetra .602 .577 .798 r .31579 .28162 .32854 .30883 .34974 .30558 .33705 .27713 Metetra .603 .569 .789 r .33705 .27713 .34974 .30558 .37115 .30213 .35849 .27248 Metetra .603 .563 .782 r .35849 .27248 .37115 .30213 .39275 .29846 .38012 .26765 Metetra .604 .557 .775 r .38012 .26765 .39275 .29846 .41455 .29453 .40194 .26262 Metetra .605 .552 .768 r .40194 .26262 .41455 .29453 .43655 .29029 .42394 .25735 Metetra .606 .548 .763 r .42394 .25735 .43655 .29029 .45874 .28574 .44613 .25183 Metetra .607 .544 .757 r .44613 .25183 .45874 .28574 .48113 .28084 .4685 .24604 Metetra .609 .541 .753 r .4685 .24604 .48113 .28084 .50371 .2756 .49105 .23999 Metetra .61 .539 .749 r .49105 .23999 .50371 .2756 .52647 .27 .51378 .23367 Metetra .611 .537 .746 r .51378 .23367 .52647 .27 .54941 .26406 .53669 .22708 Metetra .612 .535 .743 r .53669 .22708 .54941 .26406 .57254 .25779 .55978 .22023 Metetra .614 .534 .741 r .55978 .22023 .57254 .25779 .59585 .2512 .58304 .21314 Metetra .615 .533 .739 r .58304 .21314 .59585 .2512 .61933 .24433 .60648 .20581 Metetra .616 .532 .737 r .60648 .20581 .61933 .24433 .64298 .23719 .63008 .19828 Metetra .616 .532 .736 r .63008 .19828 .64298 .23719 .66681 .2298 .65386 .19054 Metetra .617 .531 .735 r .65386 .19054 .66681 .2298 .69081 .22219 .67781 .18261 Metetra .618 .531 .734 r .67781 .18261 .69081 .22219 .71498 .21436 .70194 .1745 Metetra .619 .531 .733 r .70194 .1745 .71498 .21436 .73932 .20633 .72623 .16623 Metetra .619 .531 .733 r .72623 .16623 .73932 .20633 .76384 .19811 .7507 .1578 Metetra .62 .531 .732 r .7507 .1578 .76384 .19811 .78852 .18972 .77535 .14922 Metetra .621 .531 .732 r .77535 .14922 .78852 .18972 .81338 .18115 .80016 .14048 Metetra .621 .532 .732 r .80016 .14048 .81338 .18115 .83841 .1724 .82515 .1316 Metetra .621 .723 .92 r .07924 .31215 .09349 .32587 .11287 .32205 .0988 .30713 Metetra .622 .707 .906 r .0988 .30713 .11287 .32205 .1324 .31821 .1185 .30207 Metetra .623 .691 .892 r .1185 .30207 .1324 .31821 .1521 .31433 .13836 .29697 Metetra .623 .676 .88 r .13836 .29697 .1521 .31433 .17196 .31043 .15838 .29183 Metetra 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Metetra .621 .541 .743 r .51119 .15348 .52395 .19024 .547 .18281 .53421 .14547 Metetra .621 .539 .741 r .53421 .14547 .547 .18281 .57022 .1752 .55739 .13733 Metetra .621 .538 .739 r .55739 .13733 .57022 .1752 .59362 .16742 .58075 .12908 Metetra .621 .536 .738 r .58075 .12908 .59362 .16742 .61718 .15947 .60427 .12072 Metetra .621 .535 .736 r .60427 .12072 .61718 .15947 .64091 .15137 .62796 .11225 Metetra .621 .534 .735 r .62796 .11225 .64091 .15137 .66482 .14312 .65182 .10368 Metetra .621 .533 .734 r .65182 .10368 .66482 .14312 .6889 .13473 .67585 .095 Metetra .621 .533 .734 r .67585 .095 .6889 .13473 .71315 .12621 .70006 .08623 Metetra .621 .533 .733 r .70006 .08623 .71315 .12621 .73757 .11756 .72443 .07736 Metetra .621 .532 .733 r .72443 .07736 .73757 .11756 .76217 .10879 .74899 .06839 Metetra .621 .532 .733 r .74899 .06839 .76217 .10879 .78694 .09989 .77372 .05933 Metetra .621 .532 .732 r .77372 .05933 .78694 .09989 .81189 .09087 .79863 .05017 Metetra .667 .736 .901 r .05021 .28421 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(******************************************************************* End of Mathematica Notebook file. *******************************************************************)