(************** Content-type: application/mathematica **************

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Notebook[{
Cell[BoxData[
    \(<< "\<Calculus`VectorAnalysis`\>"\)], "Input",
  ImageRegion->{{0, 1}, {0, 1}}],

Cell[BoxData[
    \(<< "\<Graphics`PlotField`\>"\)], "Input",
  ImageRegion->{{0, 1}, {0, 1}}],

Cell[BoxData[
    \(phi[r_, ri_] := q\/\@DotProduct[r - ri, r - ri]\)], "Input",
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Cell[CellGroupData[{

Cell[BoxData[{
    \("\<A charge q=6 is at the point x=5; a sphere of radius r=1 centered at \
the origin is at potential phi=0, find the image charge and its location. \
Plot phi, and electric field.\>"\), "\n", 
    \(pot1[x_, y_, z_] := 
      phi[{x, y, z}, {5, 0, 0}] /. {q \[Rule] 6}\)}], "Input",
  ImageRegion->{{0, 1}, {0, 1}}],

Cell[BoxData[
    \("A charge q=6 is at the point x=5; a sphere of radius r=1 centered at \
the origin is at potential phi=0, find the image charge and its location. \
Plot phi, and electric field."\)], "Output"]
}, Open  ]],

Cell[BoxData[{
    \(\("\<Image charge q'=-a/y q = -1/5 6, at y'= 1/6\>";\)\), "\n", 
    \(pot2[x_, y_, z_] := 
      phi[{x, y, z}, {1\/6, 0, 
            0}] /. \[InvisibleSpace]{q \[Rule] \(-\(6\/5\)\)}\)}], "Input",
  ImageRegion->{{0, 1}, {0, 1}}],

Cell[BoxData[{
    \(tpot[x_, y_, z_] := 
      pot1[x, y, z] + pot2[x, y, z] /; x^2 + y^2 + z^2 > 1\), "\n", 
    \(tpot[x_, y_, z_] := 0 /; x^2 + y^2 + z^2 < 1\)}], "Input",
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Cell[CellGroupData[{

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      PlotPoints \[Rule] 30, AspectRatio \[Rule] 1]\)], "Input",
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.89014 .56768 .89906 .58001 .92319 .58659 .91449 .57524 Metetra
.249 .549 .929 r
.91449 .57524 .92319 .58659 .94775 .59368 .93929 .58331 Metetra
.197 .537 .926 r
.93929 .58331 .94775 .59368 .97275 .60132 .96454 .59194 Metetra
.677 .724 .885 r
.3482 .60878 .35941 .62044 .37772 .61426 .36659 .60226 Metetra
.68 .721 .88 r
.36659 .60226 .37772 .61426 .39614 .60791 .38511 .59553 Metetra
.682 .716 .875 r
.38511 .59553 .39614 .60791 .41469 .60141 .40374 .58857 Metetra
.684 .711 .868 r
.40374 .58857 .41469 .60141 .43337 .59473 .4225 .58137 Metetra
.686 .705 .862 r
.4225 .58137 .43337 .59473 .45216 .58791 .44137 .57394 Metetra
.687 .698 .854 r
.44137 .57394 .45216 .58791 .47107 .58096 .46036 .56628 Metetra
.687 .69 .846 r
.46036 .56628 .47107 .58096 .4901 .57392 .47947 .55843 Metetra
.686 .68 .838 r
.47947 .55843 .4901 .57392 .50924 .56686 .49869 .55046 Metetra
.684 .669 .83 r
.49869 .55046 .50924 .56686 .52851 .55986 .51801 .54244 Metetra
.679 .657 .821 r
.51801 .54244 .52851 .55986 .5479 .55306 .53746 .53454 Metetra
.672 .644 .814 r
.53746 .53454 .5479 .55306 .56742 .54661 .55702 .52696 Metetra
.662 .63 .807 r
.55702 .52696 .56742 .54661 .58708 .54072 .5767 .51995 Metetra
.649 .615 .802 r
.5767 .51995 .58708 .54072 .60691 .53559 .59654 .51382 Metetra
.633 .599 .798 r
.59654 .51382 .60691 .53559 .62692 .53144 .61656 .50889 Metetra
.614 .584 .797 r
.61656 .50889 .62692 .53144 .64713 .52847 .63678 .50544 Metetra
.592 .57 .798 r
.63678 .50544 .64713 .52847 .66759 .5268 .65725 .50367 Metetra
.567 .557 .802 r
.65725 .50367 .66759 .5268 .68832 .52648 .67801 .50366 Metetra
.542 .547 .809 r
.67801 .50366 .68832 .52648 .70934 .52749 .69908 .50533 Metetra
.516 .539 .819 r
.69908 .50533 .70934 .52749 .73068 .52973 .7205 .50851 Metetra
.489 .535 .83 r
.7205 .50851 .73068 .52973 .75237 .53303 .74228 .51296 Metetra
.462 .533 .844 r
.74228 .51296 .75237 .53303 .7744 .53725 .76444 .51841 Metetra
.435 .533 .858 r
.76444 .51841 .7744 .53725 .79679 .54223 .78697 .52465 Metetra
.407 .534 .873 r
.78697 .52465 .79679 .54223 .81955 .54783 .80989 .53149 Metetra
.377 .536 .887 r
.80989 .53149 .81955 .54783 .84268 .55397 .83321 .53882 Metetra
.345 .537 .899 r
.83321 .53882 .84268 .55397 .86621 .5606 .85693 .54658 Metetra
.31 .537 .909 r
.85693 .54658 .86621 .5606 .89014 .56768 .88106 .55475 Metetra
.27 .533 .916 r
.88106 .55475 .89014 .56768 .91449 .57524 .90563 .56335 Metetra
.225 .526 .918 r
.90563 .56335 .91449 .57524 .93929 .58331 .93066 .57246 Metetra
.171 .513 .914 r
.93066 .57246 .93929 .58331 .96454 .59194 .95617 .58214 Metetra
.682 .725 .883 r
.33686 .59699 .3482 .60878 .36659 .60226 .35534 .59011 Metetra
.685 .722 .877 r
.35534 .59011 .36659 .60226 .38511 .59553 .37394 .58296 Metetra
.689 .717 .871 r
.37394 .58296 .38511 .59553 .40374 .58857 .39267 .57551 Metetra
.692 .712 .864 r
.39267 .57551 .40374 .58857 .4225 .58137 .41151 .56773 Metetra
.694 .706 .856 r
.41151 .56773 .4225 .58137 .44137 .57394 .43048 .55961 Metetra
.697 .698 .847 r
.43048 .55961 .44137 .57394 .46036 .56628 .44956 .55115 Metetra
.698 .689 .838 r
.44956 .55115 .46036 .56628 .47947 .55843 .46874 .54235 Metetra
.698 .679 .828 r
.46874 .54235 .47947 .55843 .49869 .55046 .48804 .53326 Metetra
.696 .667 .818 r
.48804 .53326 .49869 .55046 .51801 .54244 .50743 .52398 Metetra
.691 .653 .807 r
.50743 .52398 .51801 .54244 .53746 .53454 .52692 .51465 Metetra
.684 .638 .797 r
.52692 .51465 .53746 .53454 .55702 .52696 .54652 .50554 Metetra
.674 .621 .788 r
.54652 .50554 .55702 .52696 .5767 .51995 .56622 .49698 Metetra
.659 .604 .781 r
.56622 .49698 .5767 .51995 .59654 .51382 .58606 .48942 Metetra
.641 .585 .776 r
.58606 .48942 .59654 .51382 .61656 .50889 .60606 .48332 Metetra
.618 .566 .774 r
.60606 .48332 .61656 .50889 .63678 .50544 .62627 .47915 Metetra
.592 .548 .774 r
.62627 .47915 .63678 .50544 .65725 .50367 .64673 .47722 Metetra
.564 .532 .778 r
.64673 .47722 .65725 .50367 .67801 .50366 .6675 .47764 Metetra
.534 .519 .785 r
.6675 .47764 .67801 .50366 .69908 .50533 .68862 .48026 Metetra
.503 .509 .796 r
.68862 .48026 .69908 .50533 .7205 .50851 .71011 .48478 Metetra
.473 .504 .809 r
.71011 .48478 .7205 .50851 .74228 .51296 .732 .49078 Metetra
.443 .502 .825 r
.732 .49078 .74228 .51296 .76444 .51841 .75428 .49786 Metetra
.413 .503 .841 r
.75428 .49786 .76444 .51841 .78697 .52465 .77697 .5057 Metetra
.384 .506 .858 r
.77697 .5057 .78697 .52465 .80989 .53149 .80006 .51406 Metetra
.353 .509 .874 r
.80006 .51406 .80989 .53149 .83321 .53882 .82355 .52279 Metetra
.321 .511 .887 r
.82355 .52279 .83321 .53882 .85693 .54658 .84747 .53183 Metetra
.285 .512 .898 r
.84747 .53183 .85693 .54658 .88106 .55475 .87181 .5412 Metetra
.245 .509 .905 r
.87181 .5412 .88106 .55475 .90563 .56335 .8966 .55093 Metetra
.199 .502 .907 r
.8966 .55093 .90563 .56335 .93066 .57246 .92186 .56113 Metetra
.145 .488 .902 r
.92186 .56113 .93066 .57246 .95617 .58214 .94763 .57189 Metetra
.687 .727 .881 r
.32539 .58509 .33686 .59699 .35534 .59011 .34395 .57784 Metetra
.691 .723 .875 r
.34395 .57784 .35534 .59011 .37394 .58296 .36265 .57025 Metetra
.695 .719 .868 r
.36265 .57025 .37394 .58296 .39267 .57551 .38147 .56227 Metetra
.699 .714 .86 r
.38147 .56227 .39267 .57551 .41151 .56773 .40041 .55387 Metetra
.703 .707 .851 r
.40041 .55387 .41151 .56773 .43048 .55961 .41947 .545 Metetra
.706 .699 .841 r
.41947 .545 .43048 .55961 .44956 .55115 .43864 .53562 Metetra
.709 .69 .83 r
.43864 .53562 .44956 .55115 .46874 .54235 .45792 .52571 Metetra
.71 .679 .818 r
.45792 .52571 .46874 .54235 .48804 .53326 .47729 .51529 Metetra
.709 .666 .805 r
.47729 .51529 .48804 .53326 .50743 .52398 .49676 .50442 Metetra
.706 .65 .792 r
.49676 .50442 .50743 .52398 .52692 .51465 .51631 .49325 Metetra
.699 .633 .78 r
.51631 .49325 .52692 .51465 .54652 .50554 .53594 .48207 Metetra
.688 .614 .768 r
.53594 .48207 .54652 .50554 .56622 .49698 .55565 .47133 Metetra
.672 .593 .759 r
.55565 .47133 .56622 .49698 .58606 .48942 .57547 .46164 Metetra
.651 .571 .752 r
.57547 .46164 .58606 .48942 .60606 .48332 .59543 .45378 Metetra
.624 .547 .748 r
.59543 .45378 .60606 .48332 .62627 .47915 .61559 .44848 Metetra
.593 .525 .747 r
.61559 .44848 .62627 .47915 .64673 .47722 .63602 .44628 Metetra
.558 .504 .751 r
.63602 .44628 .64673 .47722 .6675 .47764 .65678 .44736 Metetra
.521 .487 .759 r
.65678 .44736 .6675 .47764 .68862 .48026 .67792 .45143 Metetra
.485 .474 .77 r
.67792 .45143 .68862 .48026 .71011 .48478 .69949 .45791 Metetra
.45 .468 .785 r
.69949 .45791 .71011 .48478 .732 .49078 .72149 .46611 Metetra
.417 .466 .803 r
.72149 .46611 .732 .49078 .75428 .49786 .74392 .4754 Metetra
.386 .468 .823 r
.74392 .4754 .75428 .49786 .77697 .5057 .76677 .4853 Metetra
.355 .473 .842 r
.76677 .4853 .77697 .5057 .80006 .51406 .79004 .49551 Metetra
.324 .479 .859 r
.79004 .49551 .80006 .51406 .82355 .52279 .81373 .50589 Metetra
.292 .483 .875 r
.81373 .50589 .82355 .52279 .84747 .53183 .83784 .5164 Metetra
.257 .486 .886 r
.83784 .5164 .84747 .53183 .87181 .5412 .86239 .52706 Metetra
.217 .484 .893 r
.86239 .52706 .87181 .5412 .8966 .55093 .8874 .53799 Metetra
.171 .477 .895 r
.8874 .53799 .8966 .55093 .92186 .56113 .91289 .54931 Metetra
.118 .463 .89 r
.91289 .54931 .92186 .56113 .94763 .57189 .93891 .56118 Metetra
.692 .729 .879 r
.31377 .5731 .32539 .58509 .34395 .57784 .33243 .56548 Metetra
.697 .726 .873 r
.33243 .56548 .34395 .57784 .36265 .57025 .35122 .55744 Metetra
.702 .722 .865 r
.35122 .55744 .36265 .57025 .38147 .56227 .37014 .54893 Metetra
.707 .716 .856 r
.37014 .54893 .38147 .56227 .40041 .55387 .38918 .53986 Metetra
.712 .71 .846 r
.38918 .53986 .40041 .55387 .41947 .545 .40834 .53017 Metetra
.717 .702 .834 r
.40834 .53017 .41947 .545 .43864 .53562 .42762 .51978 Metetra
.721 .692 .822 r
.42762 .51978 .43864 .53562 .45792 .52571 .447 .50861 Metetra
.724 .68 .807 r
.447 .50861 .45792 .52571 .47729 .51529 .46647 .49662 Metetra
.724 .666 .792 r
.46647 .49662 .47729 .51529 .49676 .50442 .48601 .4838 Metetra
.722 .65 .776 r
.48601 .4838 .49676 .50442 .51631 .49325 .50563 .47025 Metetra
.716 .631 .761 r
.50563 .47025 .51631 .49325 .53594 .48207 .5253 .45626 Metetra
.633 .572 .768 r
.5253 .45626 .53594 .48207 .55565 .47133 .54506 .45052 Metetra
.649 .618 .805 r
.54506 .45052 .55565 .47133 .57547 .46164 .56497 .44414 Metetra
.656 .655 .837 r
.56497 .44414 .57547 .46164 .59543 .45378 .58503 .43772 Metetra
.659 .675 .854 r
.58503 .43772 .59543 .45378 .61559 .44848 .60523 .43126 Metetra
.657 .661 .842 r
.60523 .43126 .61559 .44848 .63602 .44628 .62557 .42474 Metetra
.649 .615 .802 r
.62557 .42474 .63602 .44628 .65678 .44736 .64607 .41818 Metetra
.573 .523 .761 r
.64607 .41818 .65678 .44736 .67792 .45143 .66698 .4176 Metetra
.46 .433 .741 r
.66698 .4176 .67792 .45143 .69949 .45791 .68863 .42711 Metetra
.42 .425 .759 r
.68863 .42711 .69949 .45791 .72149 .46611 .71077 .43852 Metetra
.383 .424 .779 r
.71077 .43852 .72149 .46611 .74392 .4754 .73336 .45083 Metetra
.349 .428 .802 r
.73336 .45083 .74392 .4754 .76677 .4853 .75639 .4634 Metetra
.318 .436 .824 r
.75639 .4634 .76677 .4853 .79004 .49551 .77985 .4759 Metetra
.288 .445 .844 r
.77985 .4759 .79004 .49551 .81373 .50589 .80373 .4882 Metetra
.257 .453 .861 r
.80373 .4882 .81373 .50589 .83784 .5164 .82805 .50033 Metetra
.224 .457 .874 r
.82805 .50033 .83784 .5164 .86239 .52706 .85281 .5124 Metetra
.186 .457 .881 r
.85281 .5124 .86239 .52706 .8874 .53799 .87803 .52457 Metetra
.142 .451 .883 r
.87803 .52457 .8874 .53799 .91289 .54931 .90376 .53703 Metetra
.091 .438 .877 r
.90376 .53703 .91289 .54931 .93891 .56118 .93002 .54998 Metetra
.696 .732 .878 r
.302 .56108 .31377 .5731 .33243 .56548 .32076 .55308 Metetra
.702 .729 .871 r
.32076 .55308 .33243 .56548 .35122 .55744 .33965 .5446 Metetra
.709 .725 .863 r
.33965 .5446 .35122 .55744 .37014 .54893 .35867 .53554 Metetra
.715 .72 .853 r
.35867 .53554 .37014 .54893 .38918 .53986 .37782 .5258 Metetra
.722 .714 .842 r
.37782 .5258 .38918 .53986 .40834 .53017 .39709 .51526 Metetra
.728 .706 .829 r
.39709 .51526 .40834 .53017 .42762 .51978 .41648 .50378 Metetra
.734 .696 .814 r
.41648 .50378 .42762 .51978 .447 .50861 .43597 .49122 Metetra
.739 .684 .798 r
.43597 .49122 .447 .50861 .46647 .49662 .45555 .47741 Metetra
.741 .669 .78 r
.45555 .47741 .46647 .49662 .48601 .4838 .4752 .46224 Metetra
.694 .632 .782 r
.4752 .46224 .48601 .4838 .50563 .47025 .49484 .4515 Metetra
.653 .64 .824 r
.49484 .4515 .50563 .47025 .5253 .45626 .51456 .44513 Metetra
.663 .752 .916 r
.51456 .44513 .5253 .45626 .54506 .45052 .53442 .43872 Metetra
.663 .741 .908 r
.53442 .43872 .54506 .45052 .56497 .44414 .55443 .43226 Metetra
.663 .741 .908 r
.55443 .43226 .56497 .44414 .58503 .43772 .57458 .42575 Metetra
.663 .741 .908 r
.57458 .42575 .58503 .43772 .60523 .43126 .59487 .41919 Metetra
.663 .741 .908 r
.59487 .41919 .60523 .43126 .62557 .42474 .61532 .41259 Metetra
.663 .741 .908 r
.61532 .41259 .62557 .42474 .64607 .41818 .63592 .40594 Metetra
.663 .741 .908 r
.63592 .40594 .64607 .41818 .66698 .4176 .65667 .39924 Metetra
.656 .653 .836 r
.65667 .39924 .66698 .4176 .68863 .42711 .67757 .39249 Metetra
.385 .383 .734 r
.67757 .39249 .68863 .42711 .71077 .43852 .69982 .40758 Metetra
.335 .373 .752 r
.69982 .40758 .71077 .43852 .73336 .45083 .7226 .42408 Metetra
.3 .381 .779 r
.7226 .42408 .73336 .45083 .75639 .4634 .74584 .4401 Metetra
.27 .394 .805 r
.74584 .4401 .75639 .4634 .77985 .4759 .76951 .45537 Metetra
.242 .407 .828 r
.76951 .45537 .77985 .4759 .80373 .4882 .7936 .46987 Metetra
.214 .42 .847 r
.7936 .46987 .80373 .4882 .82805 .50033 .81811 .48378 Metetra
.185 .428 .86 r
.81811 .48378 .82805 .50033 .85281 .5124 .84307 .49732 Metetra
.152 .43 .868 r
.84307 .49732 .85281 .5124 .87803 .52457 .86851 .51074 Metetra
.112 .426 .87 r
.86851 .51074 .87803 .52457 .90376 .53703 .89445 .52432 Metetra
.064 .414 .864 r
.89445 .52432 .90376 .53703 .93002 .54998 .92095 .53832 Metetra
.701 .735 .877 r
.29008 .54904 .302 .56108 .32076 .55308 .30894 .5407 Metetra
.708 .732 .87 r
.30894 .5407 .32076 .55308 .33965 .5446 .32793 .53179 Metetra
.715 .729 .861 r
.32793 .53179 .33965 .5446 .35867 .53554 .34706 .5222 Metetra
.723 .725 .851 r
.34706 .5222 .35867 .53554 .37782 .5258 .36632 .51179 Metetra
.731 .719 .839 r
.36632 .51179 .37782 .5258 .39709 .51526 .38571 .5004 Metetra
.74 .711 .825 r
.38571 .5004 .39709 .51526 .41648 .50378 .40522 .4878 Metetra
.748 .702 .808 r
.40522 .4878 .41648 .50378 .43597 .49122 .42484 .47376 Metetra
.755 .69 .789 r
.42484 .47376 .43597 .49122 .45555 .47741 .44454 .45796 Metetra
.712 .657 .794 r
.44454 .45796 .45555 .47741 .4752 .46224 .4642 .44611 Metetra
.658 .673 .853 r
.4642 .44611 .4752 .46224 .49484 .4515 .48387 .43971 Metetra
.663 .741 .908 r
.48387 .43971 .49484 .4515 .51456 .44513 .50368 .43325 Metetra
.663 .741 .908 r
.50368 .43325 .51456 .44513 .53442 .43872 .52363 .42675 Metetra
.663 .741 .908 r
.52363 .42675 .53442 .43872 .55443 .43226 .54374 .42021 Metetra
.663 .741 .908 r
.54374 .42021 .55443 .43226 .57458 .42575 .56398 .41361 Metetra
.663 .741 .908 r
.56398 .41361 .57458 .42575 .59487 .41919 .58438 .40697 Metetra
.663 .741 .908 r
.58438 .40697 .59487 .41919 .61532 .41259 .60493 .40028 Metetra
.663 .741 .908 r
.60493 .40028 .61532 .41259 .63592 .40594 .62563 .39353 Metetra
.663 .741 .908 r
.62563 .39353 .63592 .40594 .65667 .39924 .64648 .38674 Metetra
.663 .741 .908 r
.64648 .38674 .65667 .39924 .67757 .39249 .66749 .3799 Metetra
.663 .741 .908 r
.66749 .3799 .67757 .39249 .69982 .40758 .68866 .373 Metetra
.267 .309 .72 r
.68866 .373 .69982 .40758 .7226 .42408 .71169 .39535 Metetra
.232 .324 .753 r
.71169 .39535 .7226 .42408 .74584 .4401 .73515 .41572 Metetra
.206 .344 .783 r
.73515 .41572 .74584 .4401 .76951 .45537 .75904 .43423 Metetra
.183 .365 .81 r
.75904 .43423 .76951 .45537 .7936 .46987 .78333 .45117 Metetra
.163 .383 .831 r
.78333 .45117 .7936 .46987 .81811 .48378 .80805 .46694 Metetra
.14 .397 .846 r
.80805 .46694 .81811 .48378 .84307 .49732 .83321 .48196 Metetra
.113 .403 .855 r
.83321 .48196 .84307 .49732 .86851 .51074 .85884 .4966 Metetra
.08 .402 .857 r
.85884 .4966 .86851 .51074 .89445 .52432 .88499 .51123 Metetra
.038 .392 .851 r
.88499 .51123 .89445 .52432 .92095 .53832 .91171 .52621 Metetra
.705 .739 .878 r
.278 .53704 .29008 .54904 .30894 .5407 .29696 .52838 Metetra
.713 .737 .87 r
.29696 .52838 .30894 .5407 .32793 .53179 .31605 .51908 Metetra
.721 .734 .861 r
.31605 .51908 .32793 .53179 .34706 .5222 .33529 .509 Metetra
.731 .73 .85 r
.33529 .509 .34706 .5222 .36632 .51179 .35467 .49797 Metetra
.741 .725 .837 r
.35467 .49797 .36632 .51179 .38571 .5004 .37419 .48576 Metetra
.751 .719 .822 r
.37419 .48576 .38571 .5004 .40522 .4878 .39383 .47209 Metetra
.762 .71 .803 r
.39383 .47209 .40522 .4878 .42484 .47376 .41358 .45657 Metetra
.771 .698 .782 r
.41358 .45657 .42484 .47376 .44454 .45796 .43343 .4387 Metetra
.624 .624 .83 r
.43343 .4387 .44454 .45796 .4642 .44611 .45299 .43425 Metetra
.663 .741 .908 r
.45299 .43425 .4642 .44611 .48387 .43971 .47275 .42776 Metetra
.663 .741 .908 r
.47275 .42776 .48387 .43971 .50368 .43325 .49265 .42122 Metetra
.663 .741 .908 r
.49265 .42122 .50368 .43325 .52363 .42675 .5127 .41463 Metetra
.663 .741 .908 r
.5127 .41463 .52363 .42675 .54374 .42021 .5329 .40799 Metetra
.663 .741 .908 r
.5329 .40799 .54374 .42021 .56398 .41361 .55324 .40131 Metetra
.663 .741 .908 r
.55324 .40131 .56398 .41361 .58438 .40697 .57374 .39457 Metetra
.663 .741 .908 r
.57374 .39457 .58438 .40697 .60493 .40028 .59439 .38779 Metetra
.663 .741 .908 r
.59439 .38779 .60493 .40028 .62563 .39353 .61519 .38095 Metetra
.663 .741 .908 r
.61519 .38095 .62563 .39353 .64648 .38674 .63615 .37407 Metetra
.663 .741 .908 r
.63615 .37407 .64648 .38674 .66749 .3799 .65727 .36713 Metetra
.663 .741 .908 r
.65727 .36713 .66749 .3799 .68866 .373 .67855 .36014 Metetra
.335 .582 .933 r
.67855 .36014 .68866 .373 .71169 .39535 .70066 .36532 Metetra
.137 .253 .721 r
.70066 .36532 .71169 .39535 .73515 .41572 .72437 .39091 Metetra
.119 .284 .758 r
.72437 .39091 .73515 .41572 .75904 .43423 .74848 .413 Metetra
.108 .316 .789 r
.74848 .413 .75904 .43423 .78333 .45117 .77297 .43248 Metetra
.1 .344 .814 r
.77297 .43248 .78333 .45117 .80805 .46694 .79788 .4501 Metetra
.089 .365 .831 r
.79788 .4501 .80805 .46694 .83321 .48196 .82322 .46651 Metetra
.072 .377 .841 r
.82322 .46651 .83321 .48196 .85884 .4966 .84904 .48227 Metetra
.048 .379 .844 r
.84904 .48227 .85884 .4966 .88499 .51123 .87538 .49785 Metetra
.014 .372 .839 r
.87538 .49785 .88499 .51123 .91171 .52621 .90229 .51369 Metetra
.708 .743 .879 r
.26575 .52511 .278 .53704 .29696 .52838 .2848 .51617 Metetra
.717 .742 .871 r
.2848 .51617 .29696 .52838 .31605 .51908 .30401 .50653 Metetra
.727 .74 .862 r
.30401 .50653 .31605 .51908 .33529 .509 .32336 .49602 Metetra
.737 .737 .851 r
.32336 .49602 .33529 .509 .35467 .49797 .34286 .48445 Metetra
.749 .733 .837 r
.34286 .48445 .35467 .49797 .37419 .48576 .3625 .47153 Metetra
.762 .728 .821 r
.3625 .47153 .37419 .48576 .39383 .47209 .38228 .4569 Metetra
.775 .72 .801 r
.38228 .4569 .39383 .47209 .41358 .45657 .40218 .44004 Metetra
.718 .692 .824 r
.40218 .44004 .41358 .45657 .43343 .4387 .42192 .42876 Metetra
.662 .778 .935 r
.42192 .42876 .43343 .4387 .45299 .43425 .44163 .42223 Metetra
.663 .741 .908 r
.44163 .42223 .45299 .43425 .47275 .42776 .46148 .41565 Metetra
.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
.56296 .38201 .57374 .39457 .59439 .38779 .58371 .37513 Metetra
.663 .741 .908 r
.58371 .37513 .59439 .38779 .61519 .38095 .60462 .3682 Metetra
.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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0 .193 .709 r
.68984 .33995 .70066 .36532 .72437 .39091 .71357 .36674 Metetra
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0 .355 .829 r
.86561 .48425 .87538 .49785 .90229 .51369 .8927 .50077 Metetra
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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0 .232 .742 r
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.75209 .39716 .76255 .41429 .78762 .43357 .7773 .41771 Metetra
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0 .329 .814 r
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.82906 .45361 .8391 .4679 .86561 .48425 .8557 .47051 Metetra
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.8557 .47051 .86561 .48425 .8927 .50077 .88295 .48751 Metetra
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
.56189 .34928 .57288 .36229 .59389 .35527 .58301 .34215 Metetra
.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
.64735 .32044 .65789 .33386 .67956 .32662 .66912 .31309 Metetra
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0 .022 .588 r
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0 .33 .813 r
.81889 .43951 .82906 .45361 .8557 .47051 .84566 .45668 Metetra
0 .335 .815 r
.84566 .45668 .8557 .47051 .88295 .48751 .87303 .47391 Metetra
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.75 .762 .863 r
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.785 .766 .836 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
.63665 .30683 .64735 .32044 .66912 .31309 .65854 .29937 Metetra
.02 .377 .842 r
.65854 .29937 .66912 .31309 .69216 .32626 .68164 .3125 Metetra
0 0 .467 r
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.83547 .4428 .84566 .45668 .87303 .47391 .86293 .46001 Metetra
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.81 .785 .83 r
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.69 .78 .92 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
.47643 .34435 .48804 .35743 .50879 .35037 .49728 .33719 Metetra
.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
.53946 .32269 .55076 .33608 .57198 .32885 .56079 .31536 Metetra
.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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0 .232 .742 r
.6478 .28546 .65854 .29937 .68164 .3125 .67118 .30342 Metetra
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0 .04 .544 r
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0 .165 .672 r
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.82513 .42887 .83547 .4428 .86293 .46001 .85267 .44578 Metetra
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.749 .779 .878 r
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.766 .786 .87 r
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.751 .819 .906 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
.59283 .28663 .60396 .30053 .6258 .29302 .61479 .27901 Metetra
.663 .741 .908 r
.61479 .27901 .6258 .29302 .6478 .28546 .63691 .27134 Metetra
0 0 .53 r
.63691 .27134 .6478 .28546 .67118 .30342 .66071 .29808 Metetra
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.66071 .29808 .67118 .30342 .6957 .33213 .68515 .32373 Metetra
.495 0 0 r
.68515 .32373 .6957 .33213 .72063 .35585 .71005 .34549 Metetra
0 .168 .654 r
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0 .256 .742 r
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0 .337 .813 r
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0 .349 .823 r
.81464 .41484 .82513 .42887 .85267 .44578 .84223 .43121 Metetra
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.72 .774 .896 r
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.745 .787 .887 r
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.761 .796 .881 r
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.781 .806 .873 r
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.804 .82 .864 r
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.831 .838 .852 r
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.624 .696 .897 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
.51638 .29534 .528 .30911 .54944 .30167 .53793 .28779 Metetra
.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
.58154 .27252 .59283 .28663 .61479 .27901 .60361 .2648 Metetra
.335 .582 .933 r
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.487 0 0 r
.67449 .31694 .68515 .32373 .71005 .34549 .69935 .33623 Metetra
0 .194 .658 r
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0 .279 .751 r
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0 .329 .8 r
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0 .355 .824 r
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0 .366 .834 r
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.726 .785 .899 r
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.754 .803 .892 r
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.817 .855 .877 r
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.767 .896 .934 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.663 .741 .908 r
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.58133 .27227 .59305 .27441 .61691 .28636 .60527 .28133 Metetra
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.54568 .26202 .55785 .26384 .58133 .27227 .56929 .26802 Metetra
0 .423 .722 r
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