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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 405507, 12557]*) (*NotebookOutlinePosition[ 406713, 12595]*) (* CellTagsIndexPosition[ 406669, 12591]*) (*WindowFrame->Normal*) Notebook[{ Cell["Math 225: Calculus III Solution 5", "Subsection", Evaluatable->False, PageBreakWithin->Automatic, AspectRatioFixed->True], Cell[CellGroupData[{ Cell[TextData["Initialization"], "Subsubsection", Evaluatable->False, PageBreakWithin->Automatic, AspectRatioFixed->True], Cell[TextData["<Automatic, InitializationCell->True, AspectRatioFixed->True], Cell[TextData["Needs[\"Graphics`ContourPlot3D`\"]"], "Input", 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}], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[TextData["Solution"], "Subsubsection", Evaluatable->False, PageBreakWithin->Automatic, AspectRatioFixed->True], Cell[CellGroupData[{ Cell["f[x_,y_] = x^3 y - x^2 y^2 - y^4", "Input", AspectRatioFixed->True], Cell[BoxData[ \(x\^3\ y - x\^2\ y\^2 - y\^4\)], "Output"] }, Open ]], Cell[TextData[{ StyleBox["a)", FontSlant->"Italic"], "" }], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{ Cell["Grad[f[x,y],{x,y}]", "Input", AspectRatioFixed->True], Cell[BoxData[ \({3\ x\^2\ y - 2\ x\ y\^2, x\^3 - 2\ x\^2\ y - 4\ y\^3}\)], "Output"] }, Open ]], Cell[TextData[{ StyleBox["b)", FontSlant->"Italic"], " The direction in which ", StyleBox["f[x_,y_]", FontFamily->"Courier", FontWeight->"Bold"], " increases most rapidly at the point ", StyleBox["{1,2}", FontFamily->"Courier", FontWeight->"Bold"], " is given by the gradient and find the derivative in that direction by the \ norm of the gradient." }], "Text", 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FontSlant->"Italic"], ". (", StyleBox["{1,1,1}", FontFamily->"Courier", FontWeight->"Bold"], " is on this level surface)." }], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[TextData["Solution"], "Subsubsection", Evaluatable->False, PageBreakWithin->Automatic, AspectRatioFixed->True], Cell[BoxData[ \(\(Clear[f, x, y, z]; \)\)], "Input"], Cell[CellGroupData[{ Cell["f[x_,y_,z_] = y^3 + z^2 - x^2", "Input", AspectRatioFixed->True], Cell[BoxData[ \(\(-x\^2\) + y\^3 + z\^2\)], "Output"] }, Open ]], Cell[TextData[{ StyleBox["a) ", FontSlant->"Italic"], "" }], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{ Cell["\<\ cp= ContourPlot3D[f[x,y,z],{x,-2,4},{y,-2,4},{z,-2,4}, Contours->{1}]\ \>", "Input", CellMargins->{{Inherited, -2}, {Inherited, Inherited}}, AspectRatioFixed->True], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1.09248 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.0605129 1.14596 0 1.14596 [ [ 0 0 0 0 ] [ 1 1.09248 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .08408 .25551 m 0 .85955 L s 0 .85955 m .33098 1.09248 L s .33098 1.09248 m .35689 .53369 L s .35689 .53369 m .08408 .25551 L s .71263 0 m .92329 .34324 L s .92329 .34324 m 1 .93429 L s 1 .93429 m .75767 .6349 L s .75767 .6349 m .71263 0 L s .08408 .25551 m 0 .85955 L s 0 .85955 m .75767 .6349 L s .75767 .6349 m .71263 0 L s .71263 0 m .08408 .25551 L s .35689 .53369 m .92329 .34324 L s .92329 .34324 m 1 .93429 L s 1 .93429 m .33098 1.09248 L s .33098 1.09248 m .35689 .53369 L s 0 0 m 1 0 L 1 1.09248 L 0 1.09248 L closepath clip newpath .5 Mabswid .30086 .53494 m .28204 .45247 L .34331 .48958 L closepath p .447 .382 .691 r F P 0 g s .34331 .48958 m .28204 .45247 L .26647 .40022 L p .206 .399 .832 r F P 0 g s .3094 .60836 m .30086 .53494 L .34331 .48958 L p .377 .28 .617 r F P 0 g s .30743 .67367 m .3094 .60836 L .35256 .56427 L p .266 .123 .492 r F P 0 g s .34331 .48958 m .35256 .56427 L .3094 .60836 L p .377 .28 .617 r F P 0 g s .26647 .40022 m .30325 .42171 L .34331 .48958 L p .206 .399 .832 r F P 0 g s .26647 .40022 m .30325 .42171 L .26032 .3728 L p 0 .363 .833 r F P 0 g s .26032 .3728 m .22704 .35375 L .26647 .40022 L p 0 .363 .833 r F P 0 g s .35256 .56427 m .34331 .48958 L .40842 .52902 L closepath p .496 .366 .633 r F P 0 g s .40842 .52902 m .34331 .48958 L .35255 .42833 L p .323 .401 .787 r F P 0 g s .34331 .48958 m .30325 .42171 L .35255 .42833 L closepath p .48 .553 .853 r F P 0 g s .29434 .7316 m .30743 .67367 L .35132 .63043 L p .09 0 .28 r F P 0 g s .35256 .56427 m .35132 .63043 L .30743 .67367 L p .266 .123 .492 r F P 0 g s .35132 .63043 m .35256 .56427 L .40842 .52902 L p .431 .252 .536 r F P 0 g s .35255 .42833 m .30325 .42171 L .26032 .3728 L p .415 .612 .931 r F P 0 g s .26032 .3728 m .22704 .35375 L .23104 .30612 L closepath p .305 .391 .786 r F P 0 g s .76139 .34146 m .80573 .33856 L p .731 .41611 L .681 .486 .616 r F P 0 g s .731 .41611 m .72937 .40632 L .76139 .34146 L p .681 .486 .616 r F P 0 g s .72937 .40632 m .76139 .34146 L .70974 .3312 L closepath p .758 .58 .655 r F P 0 g s .8189 .41056 m .80573 .33856 L .89611 .338 L p .699 .498 .612 r F P 0 g s .80573 .33856 m .8189 .41056 L .731 .41611 L p .681 .486 .616 r F P 0 g s .89611 .338 m .91053 .41001 L .8189 .41056 L p .699 .498 .612 r F P 0 g s .33897 .68879 m .29434 .7316 L .2691 .78264 L p 0 0 0 r F P 0 g s .35132 .63043 m .33897 .68879 L .29434 .7316 L p .09 0 .28 r F P 0 g s .40818 .59583 m .35132 .63043 L .33897 .68879 L p .326 .078 .376 r F P 0 g s .40842 .52902 m .40818 .59583 L .35132 .63043 L p .431 .252 .536 r F P 0 g s .70974 .3312 m .72937 .40632 L .72235 .41719 L p .73 .563 .665 r F P 0 g s .64076 .32487 m .70974 .3312 L p .72235 .41719 L .73 .563 .665 r F P 0 g s .40818 .59583 m .40842 .52902 L .47776 .57102 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m .69574 .49039 L .72235 .41719 L p .654 .446 .59 r F P 0 g s .63407 .40943 m .72235 .41719 L .69574 .49039 L p .73 .529 .62 r F P 0 g s .72235 .41719 m .63407 .40943 L .62039 .35564 L p .73 .563 .665 r F P 0 g s .63407 .40943 m .62039 .35564 L .56899 .41171 L closepath p .697 .543 .674 r F P 0 g s .58488 .28657 m .62039 .35564 L .56899 .41171 L p .786 .688 .756 r F P 0 g s .73959 .48509 m .731 .41611 L .8189 .41056 L p .676 .462 .588 r F P 0 g s .43896 .42206 m .36905 .43779 L .32667 .38487 L p .619 .688 .893 r F P 0 g s .56899 .41171 m .63407 .40943 L p .55676 .48935 L .692 .503 .628 r F P 0 g s .55676 .48935 m .54979 .44524 L .56899 .41171 L p .692 .503 .628 r F P 0 g s .54979 .44524 m .56899 .41171 L .52776 .39215 L closepath p .812 .661 .695 r F P 0 g s .58144 .28483 m .58488 .28657 L p .56899 .41171 L .786 .688 .756 r F P 0 g s .51109 .36117 m .58144 .28483 L p .56899 .41171 L .786 .688 .756 r F P 0 g s .56899 .41171 m .52776 .39215 L .51109 .36117 L p .786 .688 .756 r F P 0 g s 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L p .51776 .60351 L 0 .294 .763 r F P 0 g s .55174 .61583 m .51099 .60543 L p .5022 .60791 L .021 .58 .811 r F P 0 g s .43762 .59774 m .55174 .61583 L .43809 .59766 L .021 .58 .811 r F .43499 .59733 m .43708 .59784 L .55174 .61583 L p F P 0 g s .51099 .60543 m .55174 .61583 L .63085 .66375 L p .519 0 0 r F P 0 g s .63085 .66375 m .55238 .63076 L .51099 .60543 L p .519 0 0 r F P 0 g s .55238 .63076 m .51099 .60543 L p .51776 .60351 L 0 .294 .763 r F P 0 g s .51099 .60543 m .43809 .59766 L p .5022 .60791 L .021 .58 .811 r F P 0 g s .43809 .59766 m .43499 .59733 L p .43762 .59774 L .021 .58 .811 r F P 0 g s .37154 .62967 m .43708 .59784 L p .36843 .6244 L .627 .92 .977 r F P 0 g s .3607 .62738 m .37154 .62967 L p .36843 .6244 L .627 .92 .977 r F P 0 g s .40599 .60734 m .40818 .59583 L p .39619 .61194 L .326 .078 .376 r F P 0 g s .52776 .39215 m .51109 .36117 L .47866 .38349 L closepath p .728 .667 .79 r F P 0 g s .69574 .49039 m .73959 .48509 L .74473 .55159 L p .646 .417 .557 r F P 0 g s .74473 .55159 m .69492 .5574 L .69574 .49039 L p .646 .417 .557 r F P 0 g s .64733 .4863 m .69574 .49039 L .69492 .5574 L p .726 .483 .558 r F P 0 g s .5593 .55686 m .55676 .48935 L .64733 .4863 L p .682 .449 .562 r F P 0 g s .58144 .28483 m .51109 .36117 L .47103 .30875 L p .822 .755 .789 r F P 0 g s .47103 .30875 m .53812 .23629 L .58144 .28483 L p .822 .755 .789 r F P 0 g s .69492 .5574 m .65158 .55386 L .64733 .4863 L p .726 .483 .558 r F P 0 g s .64733 .4863 m .65158 .55386 L .5593 .55686 L p .682 .449 .562 r F P 0 g s .33244 .7024 m .36356 .67426 L .33897 .68879 L closepath p .157 0 .123 r F P 0 g s .33244 .7024 m .33897 .68879 L p .3026 .73764 L 0 0 0 r F P 0 g s .33244 .7024 m .2856 .6953 L p .3541 .67681 L .85 .927 .879 r F P 0 g s .36356 .67426 m .33244 .7024 L p .3541 .67681 L .85 .927 .879 r F P 0 g s .2691 .78264 m .33244 .7024 L .3026 .73764 L 0 0 0 r F .24509 .28195 m .28566 .28552 L p .31721 .37958 L .501 .506 .794 r F P 0 g s .28566 .28552 m .24509 .28195 L .28122 .25894 L closepath p .524 .401 .655 r F P 0 g s .47866 .38349 m .43896 .42206 L .39744 .36797 L p .801 .741 .796 r F P 0 g s .39744 .36797 m .42697 .33933 L .47866 .38349 L p .801 .741 .796 r F P 0 g s .47103 .30875 m .42697 .33933 L .47866 .38349 L p .758 .743 .839 r F P 0 g s .47866 .38349 m .51109 .36117 L .47103 .30875 L p .758 .743 .839 r F P 0 g s .74473 .55159 m .73959 .48509 L .82898 .47965 L p .67 .434 .556 r F P 0 g s .32667 .38487 m .39744 .36797 L .43896 .42206 L p .619 .688 .893 r F P 0 g s .32667 .38487 m .31721 .37958 L .32271 .37105 L closepath p .402 .377 .717 r F P 0 g s .28566 .28552 m .32271 .37105 L .31721 .37958 L p .501 .506 .794 r F P 0 g s .82898 .47965 m .90285 .47922 L .90791 .54583 L p .691 .45 .553 r F P 0 g s .90791 .54583 m .83587 .54623 L .82898 .47965 L p .691 .45 .553 r F P 0 g s .82898 .47965 m .83587 .54623 L .74473 .55159 L p .67 .434 .556 r F P 0 g s .90285 .47922 m .92066 .47689 L .9291 .54315 L p .642 .413 .556 r F P 0 g s .9291 .54315 m .90791 .54583 L .90285 .47922 L p .642 .413 .556 r F P 0 g s .25791 .79538 m .28626 .76645 L .2691 .78264 L closepath p 0 0 0 r F P 0 g s .2691 .78264 m .28626 .76645 L .33244 .7024 L p 0 0 0 r F P 0 g s .32667 .38487 m .32271 .37105 L .38935 .3399 L p .595 .499 .715 r F P 0 g s .35653 .26281 m .38935 .3399 L .32271 .37105 L p .623 .573 .777 r F P 0 g s .32271 .37105 m .28566 .28552 L .35653 .26281 L p .623 .573 .777 r F P 0 g s .38935 .3399 m .39744 .36797 L .32667 .38487 L p .595 .499 .715 r F P 0 g s .28626 .76645 m .33244 .7024 L .2856 .6953 L p .913 .881 .789 r F P 0 g s .37154 .62967 m .36356 .67426 L p .2856 .6953 L .85 .927 .879 r F P 0 g s .55174 .61583 m .47776 .57102 L .5593 .55686 L closepath p .588 .306 .456 r F P 0 g s .28566 .28552 m .28122 .25894 L .35067 .22963 L p .583 .442 .655 r F P 0 g s .35067 .22963 m .35653 .26281 L .28566 .28552 L p .583 .442 .655 r F P 0 g s .28626 .76645 m .25791 .79538 L .20921 .779 L p .86 .865 .842 r F P 0 g s .20921 .779 m .26915 .71795 L .28626 .76645 L p .86 .865 .842 r F P 0 g s .2856 .6953 m .26915 .71795 L .28626 .76645 L p .913 .881 .789 r F P 0 g s .69492 .5574 m .74473 .55159 L .74625 .61598 L p .635 .382 .518 r F P 0 g s .74625 .61598 m .72139 .61878 L .69492 .5574 L p .635 .382 .518 r F P 0 g s .65158 .55386 m .69492 .5574 L .72139 .61878 L p .714 .418 .474 r F P 0 g s .5593 .55686 m .65158 .55386 L .64637 .61286 L p .661 .371 .469 r F P 0 g s .64637 .61286 m .55174 .61583 L .5593 .55686 L p .661 .371 .469 r F P 0 g s .72139 .61878 m .64637 .61286 L .65158 .55386 L p .714 .418 .474 r F P 0 g s .74625 .61598 m .74473 .55159 L .83587 .54623 L p .661 .403 .518 r F P 0 g s .53812 .23629 m .47103 .30875 L .43027 .21097 L p .757 .638 .729 r F P 0 g s .43027 .21097 m .43197 .20915 L .53812 .23629 L p .757 .638 .729 r F P 0 g s .39744 .36797 m .42697 .33933 L .38935 .3399 L closepath p .703 .564 .694 r F P 0 g s .42697 .33933 m .38935 .3399 L .35653 .26281 L p .703 .612 .753 r F P 0 g s .43027 .21097 m .47103 .30875 L .42697 .33933 L p .703 .612 .753 r F P 0 g s .35653 .26281 m .43027 .21097 L p .42697 .33933 L .703 .612 .753 r F P 0 g s .83587 .54623 m .90791 .54583 L .92986 .61021 L p .684 .42 .517 r F P 0 g s .92986 .61021 m .83945 .6107 L .83587 .54623 L p .684 .42 .517 r F P 0 g s .83587 .54623 m .83945 .6107 L .74625 .61598 L p .661 .403 .518 r F P 0 g s .90791 .54583 m .9291 .54315 L .93606 .60945 L p .636 .395 .536 r F P 0 g s .93606 .60945 m .92986 .61021 L .90791 .54583 L p .636 .395 .536 r F P 0 g s .35653 .26281 m .35067 .22963 L .42997 .20939 L p .631 .474 .652 r F P 0 g s .42997 .20939 m .43027 .21097 L .35653 .26281 L p .631 .474 .652 r F P 0 g s .43027 .21097 m .43197 .20915 L .42997 .20939 L closepath p .669 .5 .647 r F P 0 g s .2856 .6953 m .3607 .62738 L .37154 .62967 L p .85 .927 .879 r F P 0 g s .74525 .64265 m .72139 .61878 L .74625 .61598 L closepath p .622 .343 .474 r F P 0 g s .72139 .61878 m .74525 .64265 L .73832 .67199 L p .688 .328 .358 r F P 0 g s .64637 .61286 m .72139 .61878 L p .73832 .67199 L .688 .328 .358 r F P 0 g s .74625 .61598 m .83945 .6107 L .83952 .67342 L p .65 .366 .476 r F P 0 g s .74525 .64265 m .74625 .61598 L p .83952 .67342 L .65 .366 .476 r F P 0 g s .63085 .66375 m .55174 .61583 L .64637 .61286 L closepath p .621 .26 .336 r F P 0 g s .3607 .62738 m .2856 .6953 L .23783 .65776 L p .816 .797 .833 r F P 0 g s .26915 .71795 m .2856 .6953 L .23783 .65776 L p .868 .784 .766 r F P 0 g s .43708 .59784 m .43499 .59733 L .3607 .62738 L p .627 .92 .977 r F P 0 g s .43499 .59733 m .3607 .62738 L .3149 .58805 L p .689 .784 .923 r F P 0 g s .23783 .65776 m .3149 .58805 L .3607 .62738 L p .816 .797 .833 r F P 0 g s .73832 .67199 m .63085 .66375 L .64637 .61286 L p .688 .328 .358 r F P 0 g s .26915 .71795 m .20921 .779 L .15938 .74174 L p .83 .789 .813 r F P 0 g s .15938 .74174 m .22547 .6746 L .26915 .71795 L p .83 .789 .813 r F P 0 g s .23783 .65776 m .22547 .6746 L .26915 .71795 L p .868 .784 .766 r F P 0 g s .83952 .67342 m .83945 .6107 L .92986 .61021 L p .675 .387 .476 r F P 0 g s .93702 .62134 m .92986 .61021 L .93606 .60945 L closepath p .63 .375 .514 r F P 0 g s .92986 .61021 m .93702 .62134 L p .83952 .67342 L .675 .387 .476 r F P 0 g s .93702 .62134 m .93914 .6729 L .83952 .67342 L p .675 .387 .476 r F P 0 g s .83952 .67342 m .76983 .67723 L .74525 .64265 L p .65 .366 .476 r F P 0 g s .76983 .67723 m .73832 .67199 L .74525 .64265 L closepath p .737 .377 .369 r F P 0 g s .51099 .60543 m .43499 .59733 L .39063 .55672 L p .368 .656 .968 r F P 0 g s .3149 .58805 m .39063 .55672 L .43499 .59733 L p .689 .784 .923 r F P 0 g s .22671 .66207 m .23783 .65776 L .3149 .58805 L p .78 .998 .824 r F P 0 g s .22547 .6746 m .22671 .66207 L .23783 .65776 L closepath p .923 .967 .776 r F P 0 g s .83584 .73387 m .76983 .67723 L .83952 .67342 L closepath p .637 .325 .427 r F P 0 g s .76983 .67723 m .83584 .73387 L .83557 .73453 L p .701 .275 .233 r F P 0 g s .73832 .67199 m .76983 .67723 L p .83557 .73453 L .701 .275 .233 r F P 0 g s .26645 .60515 m .3149 .58805 L .39063 .55672 L p .317 .793 .706 r F P 0 g s .3149 .58805 m .26645 .60515 L .22671 .66207 L p .78 .998 .824 r F P 0 g s .22547 .6746 m .22671 .66207 L p .12472 .74251 L .875 .941 .857 r F P 0 g s .12472 .74251 m .15938 .74174 L .22547 .6746 L p .875 .941 .857 r F P 0 g s .83952 .67342 m .93914 .6729 L .93835 .73428 L p .664 .348 .429 r F P 0 g s .83584 .73387 m .83952 .67342 L p .93835 .73428 L .664 .348 .429 r F P 0 g s .83557 .73453 m .71565 .71511 L .73832 .67199 L p .701 .275 .233 r F P 0 g s .71565 .71511 m .63085 .66375 L .73832 .67199 L closepath p .639 .205 .202 r F P 0 g s .59123 .64201 m .55238 .63076 L .58325 .64374 L p 0 .485 .829 r F P 0 g s .58325 .64374 m .63085 .66375 L .59123 .64201 L p 0 .485 .829 r F P 0 g s .59123 .64201 m .54872 .59849 L p .60156 .63979 L 0 .31 .781 r F P 0 g s .59123 .64201 m .63085 .66375 L .71565 .71511 L p .395 0 0 r F P 0 g s .71565 .71511 m .65014 .67775 L .59123 .64201 L p .395 0 0 r F P 0 g s .65014 .67775 m .59123 .64201 L p .60156 .63979 L 0 .31 .781 r F P 0 g s .39063 .55672 m .46765 .56407 L .51099 .60543 L p .368 .656 .968 r F P 0 g s .18344 .66066 m .22671 .66207 L .26645 .60515 L p .779 .966 .923 r F P 0 g s .22671 .66207 m .18344 .66066 L p .12472 .74251 L .875 .941 .857 r F P 0 g s .39063 .55672 m .46765 .56407 L .44387 .57318 L p .297 0 0 r F P 0 g s .39063 .55672 m .34121 .57396 L p .26645 .60515 L .317 .793 .706 r F P 0 g s .34121 .57396 m .34079 .57411 L p .33529 .57641 L .317 .793 .706 r F P 0 g s .26645 .60515 m .34121 .57396 L .33529 .57641 L .317 .793 .706 r F .26645 .60515 m .26236 .60485 L .18344 .66066 L p .779 .966 .923 r F P 0 g s .26236 .60485 m .32097 .58232 L .26645 .60515 L closepath p .552 .916 .952 r F P 0 g s .34079 .57411 m .32097 .58232 L .26645 .60515 L p .317 .793 .706 r F P 0 g s .23078 .6543 m .26091 .60711 L p .32097 .58232 L .283 0 .085 r F P 0 g s .26091 .60711 m .26236 .60485 L .32097 .58232 L p .283 0 .085 r F P 0 g s .44387 .57318 m .34206 .5741 L .39063 .55672 L .297 0 0 r F .44387 .57318 m .34467 .5745 L .34079 .57411 L p F P 0 g s .42052 .57055 m .34467 .5745 L .44387 .57318 L closepath p .142 .683 .828 r F P 0 g s .34467 .5745 m .42052 .57055 L p .39673 .58264 L .426 .019 .162 r F P 0 g s .30969 .62688 m .34467 .5745 L .39673 .58264 L .426 .019 .162 r F .34079 .57411 m .34121 .57396 L p .34206 .5741 L .297 0 0 r F P 0 g s .34121 .57396 m .39063 .55672 L p .34206 .5741 L .297 0 0 r F P 0 g s .10273 .73857 m .12569 .71922 L .12472 .74251 L closepath p .835 .915 .89 r F P 0 g s .18344 .66066 m .12569 .71922 L .12472 .74251 L p .875 .941 .857 r F P 0 g s .55238 .63076 m .59123 .64201 L .54872 .59849 L p .2 .551 .931 r F P 0 g s .54872 .59849 m .50384 .58598 L .55238 .63076 L p .2 .551 .931 r F P 0 g s .50384 .58598 m .54872 .59849 L p .5202 .59228 L .278 0 0 r F P 0 g s .50384 .58598 m .55238 .63076 L p .48749 .57969 L 0 .294 .763 r F P 0 g s .42052 .57055 m .50384 .58598 L .5202 .59228 L .278 0 0 r F .46765 .56407 m .50384 .58598 L p .48749 .57969 L 0 .294 .763 r F P 0 g s .93835 .73428 m .83667 .73479 L .83584 .73387 L p .664 .348 .429 r F P 0 g s .83667 .73479 m .83557 .73453 L .83584 .73387 L closepath p .746 .326 .252 r F P 0 g s .83667 .73479 m .93835 .73428 L .93387 .79473 L p .649 .306 .377 r F P 0 g s .93387 .79473 m .91285 .79484 L .83667 .73479 L p .649 .306 .377 r F P 0 g s .83557 .73453 m .83667 .73479 L .91285 .79484 L p .696 .215 .103 r F P 0 g s .91285 .79484 m .80676 .7703 L .83557 .73453 L p .696 .215 .103 r F P 0 g s .80676 .7703 m .71565 .71511 L .83557 .73453 L closepath p .638 .146 .065 r F P 0 g s .50384 .58598 m .44387 .57318 L .46765 .56407 L closepath p .612 .079 0 r F P 0 g s .16428 .68933 m .18344 .66066 L .26236 .60485 L p .086 0 0 r F P 0 g s .12569 .71922 m .16428 .68933 L .18344 .66066 L closepath p 0 0 0 r F P 0 g s .06157 .77883 m .10273 .73857 L .12569 .71922 L p 0 0 0 r F P 0 g s .12569 .71922 m .16428 .68933 L p .06157 .77883 L 0 0 0 r F P 0 g s .67714 .68795 m .71565 .71511 L .80676 .7703 L p 0 .226 .656 r F P 0 g s .67714 .68795 m .65014 .67775 L .71565 .71511 L closepath p 0 .436 .824 r F P 0 g s .26236 .60485 m .23078 .6543 L .16428 .68933 L p .086 0 0 r F P 0 g s .42052 .57055 m .44387 .57318 L .50384 .58598 L p .278 0 0 r F P 0 g s .32097 .58232 m .34033 .57544 L p .23078 .6543 L .283 0 .085 r F P 0 g s .32097 .58232 m .34033 .57544 L .34079 .57411 L closepath p .393 .06 .278 r F P 0 g s .34467 .5745 m .34033 .57544 L .34079 .57411 L closepath p .504 .164 .324 r F P 0 g s .30969 .62688 m .34033 .57544 L .34467 .5745 L p .426 .019 .162 r F P 0 g s .34033 .57544 m .30969 .62688 L .23078 .6543 L p .283 0 .085 r F P 0 g s .11645 .73659 m .16428 .68933 L .23078 .6543 L p 0 0 0 r F P 0 g s .16428 .68933 m .11645 .73659 L .06157 .77883 L p 0 0 0 r F P 0 g s .93222 .80628 m .91285 .79484 L .93387 .79473 L closepath p .631 .259 .32 r F P 0 g s .91285 .79484 m .93222 .80628 L .90492 .82976 L p .622 .087 0 r F P 0 g s .90492 .82976 m .80676 .7703 L .91285 .79484 L p .622 .087 0 r F P 0 g s .65014 .67775 m .67714 .68795 L .63552 .64325 L p .112 .491 .902 r F P 0 g s .63552 .64325 m .6043 .63178 L .65014 .67775 L p .112 .491 .902 r F P 0 g s .6043 .63178 m .63552 .64325 L .62532 .63967 L p .251 0 0 r F P 0 g s .6043 .63178 m .65014 .67775 L p .57933 .62242 L 0 .31 .781 r F P 0 g s .62532 .63967 m .5922 .62803 L p .6043 .63178 L .251 0 0 r F P 0 g s .54872 .59849 m .6043 .63178 L p .57933 .62242 L 0 .31 .781 r F P 0 g s .6043 .63178 m .54872 .59849 L .50367 .59397 L p .539 0 0 r F P 0 g s .54872 .59849 m .50367 .59397 L .42052 .57055 L p .278 0 0 r F P 0 g s .0334 .79791 m .11645 .73659 L .06157 .77883 L closepath p .471 .848 .622 r F P 0 g s .80676 .7703 m .74803 .73077 L .67714 .68795 L p 0 .226 .656 r F P 0 g s .74803 .73077 m .67714 .68795 L .63552 .64325 L p 0 .317 .789 r F P 0 g s .40039 .60788 m .42052 .57055 L .50367 .59397 L p .529 .122 .214 r F P 0 g s .42052 .57055 m .40039 .60788 L .30969 .62688 L p .426 .019 .162 r F P 0 g s .19923 .68638 m .23078 .6543 L .30969 .62688 L p .143 0 0 r F P 0 g s .23078 .6543 m .19923 .68638 L .11645 .73659 L p 0 0 0 r F P 0 g s .76952 .74 m .80676 .7703 L .90492 .82976 L p 0 .253 .699 r F P 0 g s .76952 .74 m .74803 .73077 L .80676 .7703 L closepath p 0 .407 .817 r F P 0 g s .5922 .62803 m .50998 .59781 L .6043 .63178 L p .251 0 0 r F P 0 g s .50367 .59397 m .50998 .59781 L .6043 .63178 L p .539 0 0 r F P 0 g s .28194 .65661 m .30969 .62688 L .40039 .60788 L p .319 0 0 r F P 0 g s .30969 .62688 m .28194 .65661 L .19923 .68638 L p .143 0 0 r F P 0 g s .63552 .64325 m .70411 .68412 L .74803 .73077 L p 0 .317 .789 r F P 0 g s .70411 .68412 m .63552 .64325 L .5922 .62803 L p .458 0 0 r F P 0 g s .74803 .73077 m .76952 .74 L .72899 .69456 L p .06 .454 .881 r F P 0 g s .72899 .69456 m .70411 .68412 L .74803 .73077 L p .06 .454 .881 r F P 0 g s .40039 .60788 m .50184 .59786 L .46657 .64364 L p .448 0 .043 r F P 0 g s .36614 .64761 m .40039 .60788 L p .46657 .64364 L .448 0 .043 r F P 0 g s .50367 .59397 m .50184 .59786 L .40039 .60788 L p .529 .122 .214 r F P 0 g s .40039 .60788 m .36614 .64761 L .28194 .65661 L p .319 0 0 r F P 0 g s .50998 .59781 m .50184 .59786 L .50367 .59397 L closepath p .604 .199 .248 r F P 0 g s .46657 .64364 m .50184 .59786 L .50998 .59781 L p .543 .077 .099 r F P 0 g s .50998 .59781 m .5922 .62803 L p .46657 .64364 L .543 .077 .099 r F P 0 g s .90492 .82976 m .85079 .78898 L .76952 .74 L p 0 .253 .699 r F P 0 g s .85079 .78898 m .76952 .74 L .72899 .69456 L p 0 .321 .793 r F P 0 g s .70411 .68412 m .72899 .69456 L .68736 .67316 L p 0 .337 .7 r F P 0 g s .62156 .64566 m .70411 .68412 L p .60096 .63242 L .458 0 0 r F P 0 g s .5922 .62803 m .62156 .64566 L p .60096 .63242 L .458 0 0 r F P 0 g s .68736 .67316 m .62156 .64566 L .70411 .68412 L p 0 .337 .7 r F P 0 g s .62156 .64566 m .68736 .67316 L .67905 .6826 L p .545 .033 0 r F P 0 g s .67905 .6826 m .67059 .69223 L p .62156 .64566 L .545 .033 0 r F P 0 g s .72899 .69456 m .80869 .7419 L .85079 .78898 L p 0 .321 .793 r F P 0 g s .80869 .7419 m .72899 .69456 L .68736 .67316 L p .393 0 0 r F P 0 g s .62156 .64566 m .58237 .64289 L .5922 .62803 L closepath p .612 .153 .138 r F P 0 g s .5922 .62803 m .58237 .64289 L .46657 .64364 L p .543 .077 .099 r F P 0 g s .46657 .64364 m .3895 .65107 L .36614 .64761 L p .448 0 .043 r F P 0 g s .45365 .65436 m .3895 .65107 L .46657 .64364 L closepath p .344 0 0 r F P 0 g s .58237 .64289 m .62156 .64566 L p .67059 .69223 L .545 .033 0 r F P 0 g s .45365 .65436 m .46657 .64364 L .58237 .64289 L p .459 0 0 r F P 0 g s .546 .67742 m .58237 .64289 L p .67059 .69223 L .545 .033 0 r F P 0 g s .58237 .64289 m .546 .67742 L .45365 .65436 L p .459 0 0 r F P 0 g s .68736 .67316 m .73362 .7007 L .80869 .7419 L p .393 0 0 r F P 0 g s .73362 .7007 m .67059 .69223 L .68736 .67316 L closepath p .61 .105 .028 r F P 0 g s .67059 .69223 m .5627 .68481 L .546 .67742 L p .545 .033 0 r F P 0 g s .25 Mabswid .71263 0 m .92329 .34324 L s .92329 .34324 m 1 .93429 L s 1 .93429 m .75767 .6349 L s .75767 .6349 m .71263 0 L s .08408 .25551 m 0 .85955 L s 0 .85955 m .75767 .6349 L s .75767 .6349 m .71263 0 L s .71263 0 m .08408 .25551 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{263, 287}, ImageMargins->{{34, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc@03oh80 00?o000060000ol0000[0000=`02ohD000?o00006@000ol0000Z0000=@02ohL000?o00006P000ol0 000Y0000oaIo5WlFOaH01?m20003o`0001`000?o00009`0002/0 0_lg00?o00FUOZEnY@02o`0>1_D6oaHV5RHF9QHV5RH3ocl000?o000070000ol0000W0000:003ocD0 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exch } bind def %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.0706913 1.15657 -1.11022e-16 1.15657 [ [ 0 0 0 0 ] [ 1 1.05617 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .47836 .55828 m .47408 1.05617 L s .47408 1.05617 m 1 .89318 L s 1 .89318 m .92795 .34581 L s .92795 .34581 m .47836 .55828 L s .07622 .30242 m .54815 0 L s .54815 0 m .55686 .612 L s .55686 .612 m 0 .85901 L s 0 .85901 m .07622 .30242 L s .47836 .55828 m .47408 1.05617 L s .47408 1.05617 m 0 .85901 L s 0 .85901 m .07622 .30242 L s .07622 .30242 m .47836 .55828 L s .92795 .34581 m .54815 0 L s .54815 0 m .55686 .612 L s .55686 .612 m 1 .89318 L s 1 .89318 m .92795 .34581 L s 0 0 m 1 0 L 1 1.05617 L 0 1.05617 L closepath clip newpath .5 Mabswid .49962 .50226 m .46901 .49794 L p .49861 .51475 L .422 0 0 r F P 0 g s .49861 .51475 m .53567 .51398 L .50468 .5039 L p .422 0 0 r F P 0 g s .53567 .51398 m .55786 .50018 L .49962 .50226 L closepath p .522 .059 .096 r F P 0 g s .53567 .51398 m .49861 .51475 L .55572 .49263 L p .557 .914 .961 r F P 0 g s .49861 .51475 m .55572 .49263 L p .49771 .51636 L 0 0 0 r F P 0 g s .49224 .51859 m .49861 .51475 L p .49771 .51636 L 0 0 0 r F P 0 g s .50468 .5039 m .49962 .50226 L p .49861 .51475 L .422 0 0 r F P 0 g s .53567 .51398 m .55786 .50018 L .61135 .47737 L p 0 0 0 r F P 0 g s .46901 .49794 m .44227 .4982 L p .49861 .51475 L .422 0 0 r F P 0 g s .44227 .4982 m .46901 .49794 L .43616 .48377 L closepath p .832 .461 .352 r F P 0 g s .44227 .4982 m .43616 .48377 L .38978 .4551 L p .873 .475 .274 r F P 0 g s .61135 .47737 m .5875 .49242 L .64197 .48955 L p .29 0 0 r F P 0 g s .64197 .48955 m .68038 .46419 L .61135 .47737 L p .29 0 0 r F P 0 g s .61135 .47737 m .5875 .49242 L p .57791 .49355 L 0 0 0 r F P 0 g s .5875 .49242 m .55572 .49263 L .5988 .49109 L p .075 .637 .756 r F P 0 g s .5988 .49109 m .64197 .48955 L .5875 .49242 L p .075 .637 .756 r F P 0 g s .5875 .49242 m .53567 .51398 L p .57791 .49355 L 0 0 0 r F P 0 g s .38978 .4551 m .39705 .47302 L .44227 .4982 L p .873 .475 .274 r F P 0 g s .48699 .51312 m .49861 .51475 L p .48854 .51179 L .422 0 0 r F P 0 g s .44227 .4982 m .48699 .51312 L p .48854 .51179 L .422 0 0 r F P 0 g s .48699 .51312 m .44227 .4982 L .39705 .47302 L p 0 .458 .839 r F P 0 g s .43631 .48589 m .48699 .51312 L p .43053 .48795 L 0 .458 .839 r F P 0 g s .39705 .47302 m .43631 .48589 L p .43053 .48795 L 0 .458 .839 r F P 0 g s .48699 .51312 m .43631 .48589 L p .48533 .51455 L .72 .187 0 r F P 0 g s .43631 .48589 m .44661 .49684 L .49224 .51859 L p .72 .187 0 r F P 0 g s .43631 .48589 m .44661 .49684 L .43897 .48493 L p 0 .112 .665 r F P 0 g s .43897 .48493 m .42824 .46821 L .43631 .48589 L p 0 .112 .665 r F P 0 g s .49224 .51859 m .48699 .51312 L p .48533 .51455 L .72 .187 0 r F P 0 g s .55572 .49263 m .5875 .49242 L .53567 .51398 L p .557 .914 .961 r F P 0 g s .71399 .50522 m .68038 .46419 L .64197 .48955 L closepath p .74 .343 .298 r F P 0 g s .39705 .47302 m .38978 .4551 L .35079 .42036 L p .896 .477 .155 r F P 0 g s .35079 .42036 m .35112 .42121 L .39705 .47302 L p .896 .477 .155 r F P 0 g s .39705 .47302 m .35112 .42121 L p .42824 .46821 L .243 .479 .885 r F P 0 g s .42824 .46821 m .43631 .48589 L .39705 .47302 L p .243 .479 .885 r F P 0 g s .49224 .51859 m .49861 .51475 L .48699 .51312 L closepath p .695 .288 .272 r F P 0 g s .54489 .49928 m .49224 .51859 L p .53973 .49917 L 0 0 0 r F P 0 g s .55572 .49263 m .54489 .49928 L p .53973 .49917 L 0 0 0 r F P 0 g s .55572 .49263 m .54489 .49928 L .60062 .51686 L p .506 .031 .062 r F P 0 g s .54489 .49928 m .49959 .47666 L p .55713 .49956 L 0 .456 .817 r F P 0 g s .60062 .51686 m .54489 .49928 L p .55713 .49956 L 0 .456 .817 r F P 0 g s .49959 .47666 m .54489 .49928 L .49224 .51859 L p .615 .793 .967 r F P 0 g s .49224 .51859 m .44661 .49684 L .49959 .47666 L p .615 .793 .967 r F P 0 g s .73461 .55493 m .71399 .50522 L .64197 .48955 L p .768 .452 .452 r F P 0 g s .35112 .42121 m .35009 .41944 L .35079 .42036 L closepath p .861 .448 0 r F P 0 g s .35767 .36287 m .4001 .43613 L .35112 .42121 L p .342 .433 .81 r F P 0 g s .35112 .42121 m .35009 .41944 L .35767 .36287 L p .342 .433 .81 r F P 0 g s .35112 .42121 m .4001 .43613 L .42824 .46821 L p .243 .479 .885 r F P 0 g s .60062 .51686 m .64197 .48955 L .55572 .49263 L p .506 .031 .062 r F P 0 g s .66119 .53944 m .64197 .48955 L .60062 .51686 L closepath p .825 .478 .4 r F P 0 g s .64197 .48955 m .66119 .53944 L .73461 .55493 L p .768 .452 .452 r F P 0 g s .47405 .43639 m .49959 .47666 L .44661 .49684 L p .585 .57 .803 r F P 0 g s .44661 .49684 m .42824 .46821 L .47405 .43639 L p .585 .57 .803 r F P 0 g s .74108 .61323 m .73461 .55493 L .66119 .53944 L p .776 .523 .552 r F P 0 g s .4001 .43613 m .42824 .46821 L .47405 .43639 L p .616 .637 .848 r F P 0 g s .52944 .8957 m .51633 .87865 L .55015 .87775 L closepath p .695 .633 .783 r F P 0 g s .4975 .96137 m .52944 .8957 L .51633 .87865 L p .782 .65 .716 r F P 0 g s .48371 .82706 m .51633 .87865 L .55015 .87775 L p .697 .607 .753 r F P 0 g s .51633 .87865 m .46808 .86785 L p .4975 .96137 L .782 .65 .716 r F P 0 g s .51633 .87865 m .46808 .86785 L .48371 .82706 L closepath p .787 .633 .689 r F P 0 g s .52664 .78138 m .48371 .82706 L p .55015 .87775 L .697 .607 .753 r F P 0 g s .54488 .78085 m .52664 .78138 L p .55015 .87775 L .697 .607 .753 r F P 0 g s .55015 .87775 m .58351 .84282 L .54488 .78085 L p .697 .607 .753 r F P 0 g s .47585 .99823 m .4291 .94724 L .4975 .96137 L closepath p .777 .664 .738 r F P 0 g s .46808 .86785 m .4291 .94724 L .4975 .96137 L p .782 .65 .716 r F P 0 g s .40665 .33126 m .45284 .41168 L .4001 .43613 L p .589 .555 .784 r F P 0 g s .4001 .43613 m .35767 .36287 L .40665 .33126 L p .589 .555 .784 r F P 0 g s .47405 .43639 m .45284 .41168 L .4001 .43613 L p .616 .637 .848 r F P 0 g s .66637 .59809 m .66119 .53944 L .60062 .51686 L p .83 .564 .536 r F P 0 g s .66119 .53944 m .66637 .59809 L .74108 .61323 L p .776 .523 .552 r F P 0 g s .44101 .77153 m .43685 .77602 L .48371 .82706 L p .732 .665 .785 r F P 0 g s .48371 .82706 m .52664 .78138 L .44101 .77153 L p .732 .665 .785 r F P 0 g s .46808 .86785 m .48371 .82706 L .43685 .77602 L p .816 .667 .697 r F P 0 g s .60334 .76051 m .63961 .81935 L .58351 .84282 L p .61 .575 .79 r F P 0 g s .58351 .84282 m .54488 .78085 L .60334 .76051 L p .61 .575 .79 r F P 0 g s .4291 .94724 m .46808 .86785 L .40856 .8485 L p .808 .683 .726 r F P 0 g s .43685 .77602 m .40856 .8485 L .46808 .86785 L p .816 .667 .697 r F P 0 g s .73251 .67979 m .74108 .61323 L .66637 .59809 L p .775 .57 .622 r F P 0 g s .49959 .47666 m .47405 .43639 L p .54576 .4789 L .338 .453 .83 r F P 0 g s .54576 .4789 m .54435 .49057 L .49959 .47666 L p .338 .453 .83 r F P 0 g s .54435 .49057 m .54576 .4789 L .54744 .49001 L p 0 0 .374 r F P 0 g s .54435 .49057 m .60062 .51686 L p .53757 .49178 L 0 .456 .817 r F P 0 g s .55596 .54635 m .60062 .51686 L .54435 .49057 L closepath p .859 .539 .445 r F P 0 g s .54744 .49001 m .55596 .54635 L .54435 .49057 L p 0 0 .374 r F P 0 g s .49959 .47666 m .54435 .49057 L p .53757 .49178 L 0 .456 .817 r F P 0 g s .49141 .69912 m .44101 .77153 L .52664 .78138 L p .741 .635 .742 r F P 0 g s .52664 .78138 m .53777 .76545 L .49141 .69912 L p .741 .635 .742 r F P 0 g s .54488 .78085 m .52664 .78138 L .53777 .76545 L closepath p .697 .573 .712 r F P 0 g s .5468 .67127 m .5934 .73897 L .53777 .76545 L p .623 .599 .805 r F P 0 g s .53777 .76545 m .49141 .69912 L .5468 .67127 L p .623 .599 .805 r F P 0 g s .53777 .76545 m .54488 .78085 L .60334 .76051 L p .595 .525 .745 r F P 0 g s .60334 .76051 m .5934 .73897 L .53777 .76545 L p .595 .525 .745 r F P 0 g s .40856 .8485 m .38081 .90452 L .4291 .94724 L p .808 .683 .726 r F P 0 g s .47405 .43639 m .47597 .40951 L p .54576 .4789 L .338 .453 .83 r F P 0 g s .47597 .40951 m .45284 .41168 L .47405 .43639 L closepath p .487 .591 .884 r F P 0 g s .60475 .57601 m .60062 .51686 L .55596 .54635 L closepath p .899 .619 .504 r F P 0 g s .60062 .51686 m .60475 .57601 L .66637 .59809 L p .83 .564 .536 r F P 0 g s .43685 .77602 m .40036 .75378 L .44101 .77153 L closepath p .776 .745 .824 r F P 0 g s .40856 .8485 m .43685 .77602 L .40036 .75378 L p .849 .707 .706 r F P 0 g s .38797 .74569 m .40036 .75378 L .44101 .77153 L p .803 .727 .781 r F P 0 g s .44353 .66565 m .38797 .74569 L p .44101 .77153 L .803 .727 .781 r F P 0 g s .44101 .77153 m .49141 .69912 L .44353 .66565 L p .803 .727 .781 r F P 0 g s .60475 .57601 m .66637 .59809 L .65666 .66518 L p .823 .616 .623 r F P 0 g s .66637 .59809 m .65666 .66518 L .73251 .67979 L p .775 .57 .622 r F P 0 g s .4992 .63667 m .5468 .67127 L .49141 .69912 L p .663 .737 .904 r F P 0 g s .49141 .69912 m .44353 .66565 L .4992 .63667 L p .663 .737 .904 r F P 0 g s .45284 .41168 m .40665 .33126 L p .49452 .38362 L .495 .511 .803 r F P 0 g s .49452 .38362 m .47597 .40951 L .45284 .41168 L p .495 .511 .803 r F P 0 g s .67905 .74872 m .69674 .77782 L .63961 .81935 L p .66 .595 .771 r F P 0 g s .63961 .81935 m .60334 .76051 L .67905 .74872 L p .66 .595 .771 r F P 0 g s .65666 .66518 m .73251 .67979 L .7084 .75404 L p .771 .604 .672 r F P 0 g s .38081 .90452 m .40856 .8485 L .35687 .82449 L p .837 .722 .737 r F P 0 g s .38751 .74734 m .35687 .82449 L .40856 .8485 L p .849 .707 .706 r F P 0 g s .40036 .75378 m .38751 .74734 L p .40856 .8485 L .849 .707 .706 r F P 0 g s .40665 .33126 m .40808 .32904 L p .49452 .38362 L .495 .511 .803 r F P 0 g s .63005 .65612 m .64986 .68548 L .5934 .73897 L p .696 .623 .771 r F P 0 g s .56017 .65835 m .63005 .65612 L p .5934 .73897 L .696 .623 .771 r F P 0 g s .5934 .73897 m .5468 .67127 L .56017 .65835 L p .696 .623 .771 r F P 0 g s .5934 .73897 m .60334 .76051 L .67905 .74872 L p .655 .553 .728 r F P 0 g s .67905 .74872 m .64986 .68548 L .5934 .73897 L p .655 .553 .728 r F P 0 g s .45945 .3221 m .44533 .2893 L .40808 .32904 L closepath p .491 .46 .75 r F P 0 g s .40808 .32904 m .45945 .3221 L .49452 .38362 L p .495 .511 .803 r F P 0 g s .35687 .82449 m .33015 .87802 L .38081 .90452 L p .837 .722 .737 r F P 0 g s .50759 .41824 m .49452 .38362 L .47597 .40951 L closepath p .406 .39 .729 r F P 0 g s .47597 .40951 m .50759 .41824 L p .52338 .45665 L .338 .453 .83 r F P 0 g s .47838 .34748 m .45945 .3221 L .49452 .38362 L closepath p 0 0 .553 r F P 0 g s .51742 .44756 m .50236 .4055 L .47838 .34748 L .76 .417 0 r F .49452 .38362 m .48012 .35138 L p .50236 .4055 L F P 0 g s .48012 .35138 m .47838 .34748 L p .50236 .4055 L .76 .417 0 r F P 0 g s .50759 .41824 m .54576 .4789 L p .52338 .45665 L .338 .453 .83 r F P 0 g s .69674 .77782 m .67905 .74872 L .7084 .75404 L closepath p .766 .63 .709 r F P 0 g s .64986 .68548 m .65666 .66518 L p .7084 .75404 L .771 .604 .672 r F P 0 g s .7084 .75404 m .67905 .74872 L .64986 .68548 L p .771 .604 .672 r F P 0 g s .40036 .75378 m .38751 .74734 L .38797 .74569 L closepath p .862 .688 .666 r F P 0 g s .64986 .68548 m .63005 .65612 L .65666 .66518 L closepath p .812 .65 .682 r F P 0 g s .60262 .58943 m .60475 .57601 L p .65666 .66518 L .823 .616 .623 r F P 0 g s .65666 .66518 m .63005 .65612 L .60262 .58943 L p .823 .616 .623 r F P 0 g s .60262 .58943 m .55596 .54635 L .60475 .57601 L closepath p .882 .677 .62 r F P 0 g s .5019 .63402 m .4992 .63667 L .5468 .67127 L p .758 .739 .835 r F P 0 g s .5468 .67127 m .56017 .65835 L .5019 .63402 L p .758 .739 .835 r F P 0 g s .38797 .74569 m .44353 .66565 L p .36325 .70835 L .88 .861 .818 r F P 0 g s .36325 .70835 m .38542 .74583 L .38797 .74569 L p .88 .861 .818 r F P 0 g s .38542 .74583 m .38751 .74734 L .38797 .74569 L closepath p .903 .737 .666 r F P 0 g s .35687 .82449 m .38751 .74734 L .38542 .74583 L p .885 .754 .712 r F P 0 g s .56017 .65835 m .60262 .58943 L .55596 .54635 L p .803 .707 .758 r F P 0 g s .63005 .65612 m .56017 .65835 L .60262 .58943 L closepath p .696 .56 .697 r F P 0 g s .33594 .73837 m .38542 .74583 L .36325 .70835 L closepath p .827 .85 .865 r F P 0 g s .38542 .74583 m .33594 .73837 L p .35687 .82449 L .885 .754 .712 r F P 0 g s .55596 .54635 m .5019 .63402 L .56017 .65835 L p .803 .707 .758 r F P 0 g s .44907 .63615 m .4992 .63667 L .44353 .66565 L p .639 .933 .968 r F P 0 g s .44353 .66565 m .39258 .66602 L .44907 .63615 L p .639 .933 .968 r F P 0 g s .44353 .66565 m .39258 .66602 L .36325 .70835 L p .88 .861 .818 r F P 0 g s .54576 .4789 m .51742 .44756 L .52012 .50817 L p .968 .682 .433 r F P 0 g s .52012 .50817 m .55596 .54635 L .54576 .4789 L p .968 .682 .433 r F P 0 g s .51742 .44756 m .50759 .41824 L .54576 .4789 L closepath p .909 .508 .122 r F P 0 g s .33015 .87802 m .35687 .82449 L .31299 .7953 L p .869 .766 .746 r F P 0 g s .33594 .73837 m .31299 .7953 L .35687 .82449 L p .885 .754 .712 r F P 0 g s .51742 .44756 m .50759 .41824 L .49452 .38362 L p .76 .417 0 r F P 0 g s .31299 .7953 m .27623 .8684 L .33015 .87802 L p .869 .766 .746 r F P 0 g s .44533 .2893 m .43881 .24608 L p .47097 .29304 L 0 .071 .626 r F P 0 g s .45945 .3221 m .44533 .2893 L p .47097 .29304 L 0 .071 .626 r F P 0 g s .47097 .29304 m .47838 .34748 L .45945 .3221 L p 0 .071 .626 r F P 0 g s .50759 .57829 m .55596 .54635 L .52012 .50817 L closepath p .95 .752 .601 r F P 0 g s .5019 .63402 m .55596 .54635 L .50759 .57829 L closepath p .924 .973 .754 r F P 0 g s .50759 .57829 m .44907 .63615 L .4992 .63667 L p .827 .919 .897 r F P 0 g s .4992 .63667 m .5019 .63402 L .50759 .57829 L p .827 .919 .897 r F P 0 g s .52012 .50817 m .51742 .44756 L .49539 .39866 L p .97 .706 .283 r F P 0 g s .47838 .34748 m .49539 .39866 L p .49796 .39769 L .76 .417 0 r F P 0 g s .49165 .36984 m .49539 .39866 L .47838 .34748 L p 0 0 .351 r F P 0 g s .49539 .39866 m .49165 .36984 L .49291 .3996 L p .801 .615 .055 r F P 0 g s .49291 .3996 m .49442 .43543 L p .49539 .39866 L .801 .615 .055 r F P 0 g s .49539 .39866 m .51742 .44756 L p .49796 .39769 L .76 .417 0 r F P 0 g s .33729 .69028 m .27949 .7542 L .33594 .73837 L p .855 .962 .873 r F P 0 g s .36773 .68265 m .33729 .69028 L p .33594 .73837 L .855 .962 .873 r F P 0 g s .33594 .73837 m .36325 .70835 L .36773 .68265 L p .855 .962 .873 r F P 0 g s .31299 .7953 m .33594 .73837 L .27949 .7542 L p .921 .805 .714 r F P 0 g s .38168 .68176 m .39258 .66602 L .36773 .68265 L p .901 .985 .777 r F P 0 g s .39258 .66602 m .36773 .68265 L .42114 .65502 L p 0 0 0 r F P 0 g s .36773 .68265 m .42114 .65502 L p .35324 .68358 L .501 .909 .859 r F P 0 g s .33729 .69028 m .36773 .68265 L p .35324 .68358 L .501 .909 .859 r F P 0 g s .36773 .68265 m .36325 .70835 L .38168 .68176 L p .901 .985 .777 r F P 0 g s .47838 .34748 m .47097 .29304 L .49165 .36984 L p 0 0 .351 r F P 0 g s .42114 .65502 m .44907 .63615 L .39258 .66602 L p 0 0 0 r F P 0 g s .31299 .7953 m .27704 .76019 L .2333 .84658 L p .9 .814 .753 r F P 0 g s .27623 .8684 m .31299 .7953 L p .2333 .84658 L .9 .814 .753 r F P 0 g s .27949 .7542 m .27704 .76019 L .31299 .7953 L p .921 .805 .714 r F P 0 g s .2333 .84658 m .2607 .87065 L .27623 .8684 L p .9 .814 .753 r F P 0 g s .46577 .28097 m .44138 .21051 L .43881 .24608 L closepath p .004 .12 .635 r F P 0 g s .43881 .24608 m .46577 .28097 L p .46968 .29117 L 0 .071 .626 r F P 0 g s .46754 .288 m .46081 .26808 L .42709 .18214 L .863 .518 .009 r F .44138 .21051 m .43006 .18805 L p .46081 .26808 L F P 0 g s .43006 .18805 m .42709 .18214 L p .46081 .26808 L .863 .518 .009 r F P 0 g s .46577 .28097 m .47097 .29304 L p .46968 .29117 L 0 .071 .626 r F P 0 g s .52012 .50817 m .49773 .46023 L .48445 .53189 L p .998 .823 .542 r F P 0 g s .48445 .53189 m .50759 .57829 L .52012 .50817 L p .998 .823 .542 r F P 0 g s .49539 .39866 m .49773 .46023 L .52012 .50817 L p .97 .706 .283 r F P 0 g s .21838 .8717 m .2607 .87065 L .2333 .84658 L closepath p .882 .821 .783 r F P 0 g s .44907 .63615 m .50759 .57829 L .45503 .613 L p .698 .966 .73 r F P 0 g s .45503 .613 m .42114 .65502 L .44907 .63615 L p .698 .966 .73 r F P 0 g s .49442 .43543 m .49773 .46023 L .49539 .39866 L p .801 .615 .055 r F P 0 g s .46754 .288 m .46577 .28097 L .44138 .21051 L p .863 .518 .009 r F P 0 g s .45503 .613 m .50759 .57829 L .48445 .53189 L closepath p .969 .86 .678 r F P 0 g s .01 w .50759 .57829 m .90525 .73951 L s .5 Mabswid .27949 .7542 m .27506 .7572 L .29869 .71576 L p .784 .993 .77 r F P 0 g s .29869 .71576 m .33729 .69028 L .31915 .71034 L p .784 .993 .77 r F P 0 g s .33729 .69028 m .29869 .71576 L .35456 .68827 L p 0 0 0 r F P 0 g s .29869 .71576 m .35456 .68827 L p .28854 .71845 L .4 .847 .754 r F P 0 g s .27714 .72366 m .29869 .71576 L p .28854 .71845 L .4 .847 .754 r F P 0 g s .31915 .71034 m .27949 .7542 L p .29869 .71576 L .784 .993 .77 r F P 0 g s .27506 .7572 m .27704 .76019 L .27949 .7542 L closepath p .954 .857 .707 r F P 0 g s .2333 .84658 m .27704 .76019 L .27506 .7572 L p .93 .864 .754 r F P 0 g s .46754 .288 m .46577 .28097 L .47097 .29304 L closepath p .914 .544 .105 r F P 0 g s .47097 .29304 m .46754 .288 L .47443 .34522 L p .966 .644 .274 r F P 0 g s .47443 .34522 m .49165 .36984 L .47097 .29304 L p .966 .644 .274 r F P 0 g s .21831 .77915 m .27506 .7572 L .29869 .71576 L p .788 .995 .872 r F P 0 g s .27506 .7572 m .21831 .77915 L p .2333 .84658 L .93 .864 .754 r F P 0 g s .47443 .34522 m .46754 .288 L .4397 .23356 L p .946 .64 .197 r F P 0 g s .42709 .18214 m .4397 .23356 L .46754 .288 L p .863 .518 .009 r F P 0 g s .21838 .8717 m .2333 .84658 L .20395 .80735 L p .908 .868 .788 r F P 0 g s .21831 .77915 m .20395 .80735 L .2333 .84658 L p .93 .864 .754 r F P 0 g s .20395 .80735 m .15563 .88854 L .21838 .8717 L p .908 .868 .788 r F P 0 g s .42114 .65502 m .39491 .66135 L .33729 .69028 L p .501 .909 .859 r F P 0 g s .35456 .68827 m .39491 .66135 L .33729 .69028 L p 0 0 0 r F P 0 g s .39491 .66135 m .42114 .65502 L .45503 .613 L closepath p .745 .985 .904 r F P 0 g s .49165 .36984 m .47443 .34522 L .47489 .40856 L p .985 .71 .403 r F P 0 g s .47489 .40856 m .49442 .43543 L .49165 .36984 L p .985 .71 .403 r F P 0 g s .4397 .23356 m .42709 .18214 L .40432 .11977 L p .785 .477 0 r F P 0 g s .49773 .46023 m .49442 .43543 L .47834 .49084 L p .958 .835 .407 r F P 0 g s .47834 .49084 m .48445 .53189 L .49773 .46023 L p .958 .835 .407 r F P 0 g s .39491 .66135 m .45503 .613 L .3977 .65085 L p .541 .893 .667 r F P 0 g s .3977 .65085 m .35456 .68827 L .39491 .66135 L p .541 .893 .667 r F P 0 g s .47489 .40856 m .47443 .34522 L .44619 .2914 L p .986 .723 .347 r F P 0 g s .4397 .23356 m .44619 .2914 L .47443 .34522 L p .946 .64 .197 r F P 0 g s .48445 .53189 m .47834 .49084 L p .44519 .55799 L .979 .916 .616 r F P 0 g s .44519 .55799 m .45503 .613 L .48445 .53189 L p .979 .916 .616 r F P 0 g s .49442 .43543 m .47489 .40856 L .46851 .47798 L p .986 .752 .499 r F P 0 g s .46851 .47798 m .47834 .49084 L .49442 .43543 L p .986 .752 .499 r F P 0 g s .29869 .71576 m .27714 .72366 L .21831 .77915 L p .788 .995 .872 r F P 0 g s .4397 .23356 m .4168 .17142 L p .42791 .24296 L .899 .619 .113 r F P 0 g s .42791 .24296 m .44619 .2914 L .4397 .23356 L p .899 .619 .113 r F P 0 g s .40432 .11977 m .4168 .17142 L .4397 .23356 L p .785 .477 0 r F P 0 g s .21831 .77915 m .19757 .79299 L .22895 .75526 L p .676 .961 .736 r F P 0 g s .22895 .75526 m .27714 .72366 L .25438 .74513 L p .676 .961 .736 r F P 0 g s .27714 .72366 m .22895 .75526 L .28667 .72768 L p 0 0 0 r F P 0 g s .22895 .75526 m .28667 .72768 L p .22052 .75861 L .335 .797 .681 r F P 0 g s .2115 .76283 m .22895 .75526 L p .22052 .75861 L .335 .797 .681 r F P 0 g s .25438 .74513 m .21831 .77915 L p .22895 .75526 L .676 .961 .736 r F P 0 g s .19757 .79299 m .20395 .80735 L .21831 .77915 L closepath p .95 .91 .743 r F P 0 g s .20395 .80735 m .19757 .79299 L p .12484 .85839 L .927 .912 .784 r F P 0 g s .15563 .88854 m .20395 .80735 L p .12484 .85839 L .927 .912 .784 r F P 0 g s .3977 .65085 m .45503 .613 L .44519 .55799 L closepath p .955 .935 .729 r F P 0 g s .12484 .85839 m .144 .89429 L .15563 .88854 L p .927 .912 .784 r F P 0 g s .46851 .47798 m .47489 .40856 L .44607 .35571 L p .998 .775 .46 r F P 0 g s .44619 .2914 m .44607 .35571 L .47489 .40856 L p .986 .723 .347 r F P 0 g s .35456 .68827 m .336 .69498 L .27714 .72366 L p .4 .847 .754 r F P 0 g s .28667 .72768 m .336 .69498 L .27714 .72366 L p 0 0 0 r F P 0 g s .15152 .81365 m .19757 .79299 L .22895 .75526 L p .708 .986 .841 r F P 0 g s .19757 .79299 m .15152 .81365 L .12484 .85839 L p .927 .912 .784 r F P 0 g s .336 .69498 m .35456 .68827 L .3977 .65085 L closepath p .637 .965 .847 r F P 0 g s .4627 .51022 m .47834 .49084 L .46851 .47798 L closepath p .977 .78 .571 r F P 0 g s .47834 .49084 m .4627 .51022 L .44519 .55799 L p .979 .916 .616 r F P 0 g s .44619 .2914 m .42791 .24296 L .42823 .31021 L p .964 .721 .28 r F P 0 g s .42823 .31021 m .44607 .35571 L .44619 .2914 L p .964 .721 .28 r F P 0 g s .46851 .47798 m .43892 .42646 L .42437 .50353 L p .995 .809 .545 r F P 0 g s .4627 .51022 m .46851 .47798 L p .42437 .50353 L .995 .809 .545 r F P 0 g s .44607 .35571 m .43892 .42646 L .46851 .47798 L p .998 .775 .46 r F P 0 g s .336 .69498 m .3977 .65085 L .33493 .6923 L p .449 .839 .622 r F P 0 g s .33493 .6923 m .28667 .72768 L .336 .69498 L p .449 .839 .622 r F P 0 g s .4168 .17142 m .41766 .1796 L .42791 .24296 L p .899 .619 .113 r F P 0 g s .42437 .50353 m .44683 .54013 L .4627 .51022 L p .995 .809 .545 r F P 0 g s .44683 .54013 m .44519 .55799 L .4627 .51022 L closepath p .903 .9 .489 r F P 0 g s .41985 .23171 m .41766 .1796 L .42791 .24296 L closepath p .978 .677 .344 r F P 0 g s .15152 .81365 m .11856 .83542 L .15479 .79986 L p .592 .923 .701 r F P 0 g s .15479 .79986 m .2115 .76283 L .15152 .81365 L p .592 .923 .701 r F P 0 g s .11856 .83542 m .12484 .85839 L .15152 .81365 L closepath p .935 .949 .769 r F P 0 g s .22895 .75526 m .2115 .76283 L .15152 .81365 L p .708 .986 .841 r F P 0 g s .44519 .55799 m .44683 .54013 L p .40175 .58687 L .93 .962 .658 r F P 0 g s .40175 .58687 m .3977 .65085 L .44519 .55799 L p .93 .962 .658 r F P 0 g s .44607 .35571 m .42823 .31021 L .41619 .37162 L p .993 .787 .411 r F P 0 g s .41619 .37162 m .43892 .42646 L .44607 .35571 L p .993 .787 .411 r F P 0 g s .33493 .6923 m .3977 .65085 L .40175 .58687 L closepath p .918 .978 .756 r F P 0 g s .42791 .24296 m .41985 .23171 L .41861 .29732 L p .984 .709 .41 r F P 0 g s .41861 .29732 m .42823 .31021 L .42791 .24296 L p .984 .709 .41 r F P 0 g s .40249 .58544 m .44683 .54013 L .42437 .50353 L closepath p .985 .831 .609 r F P 0 g s .44683 .54013 m .40249 .58544 L .40175 .58687 L p .93 .962 .658 r F P 0 g s .2115 .76283 m .15479 .79986 L .21412 .77216 L p 0 0 0 r F P 0 g s .27163 .73418 m .2115 .76283 L p .26898 .73595 L .335 .797 .681 r F P 0 g s .28667 .72768 m .27163 .73418 L p .26898 .73595 L .335 .797 .681 r F P 0 g s .27163 .73418 m .33493 .6923 L .28379 .72607 L p .391 .801 .591 r F P 0 g s .21412 .77216 m .27163 .73418 L .2115 .76283 L p 0 0 0 r F P 0 g s .28379 .72607 m .2659 .73789 L p .27163 .73418 L .391 .801 .591 r F P 0 g s .42437 .50353 m .43892 .42646 L .41619 .37162 L p 1 .83 .51 r F P 0 g s .27163 .73418 m .28667 .72768 L .33493 .6923 L closepath p .544 .921 .783 r F P 0 g s .42823 .31021 m .41861 .29732 L .41336 .36799 L p .986 .734 .465 r F P 0 g s .41336 .36799 m .41619 .37162 L .42823 .31021 L p .986 .734 .465 r F P 0 g s .2659 .73789 m .21412 .77216 L .27163 .73418 L p .391 .801 .591 r F P 0 g s .42437 .50353 m .39891 .44636 L .37544 .53185 L p .995 .856 .585 r F P 0 g s .40249 .58544 m .42437 .50353 L p .37544 .53185 L .995 .856 .585 r F P 0 g s .41166 .38155 m .39891 .44636 L .42437 .50353 L p 1 .83 .51 r F P 0 g s .41619 .37162 m .41166 .38155 L p .42437 .50353 L 1 .83 .51 r F P 0 g s .37544 .53185 m .40193 .58623 L .40249 .58544 L p .995 .856 .585 r F P 0 g s .40193 .58623 m .40175 .58687 L .40249 .58544 L closepath p .837 .925 .537 r F P 0 g s .40175 .58687 m .40193 .58623 L .3496 .63418 L p .868 .978 .677 r F P 0 g s .3496 .63418 m .33493 .6923 L .40175 .58687 L p .868 .978 .677 r F P 0 g s .2659 .73789 m .33493 .6923 L .3496 .63418 L p .868 .995 .764 r F P 0 g s .40193 .58623 m .37544 .53185 L .34383 .62353 L p .984 .873 .642 r F P 0 g s .34383 .62353 m .3496 .63418 L .40193 .58623 L p .984 .873 .642 r F P 0 g s .41166 .38155 m .41619 .37162 L .41336 .36799 L closepath p .984 .754 .511 r F P 0 g s .336 .64268 m .3496 .63418 L .34383 .62353 L closepath p .971 .884 .687 r F P 0 g s .3496 .63418 m .336 .64268 L .2659 .73789 L p .868 .995 .764 r F P 0 g s .25 Mabswid .07622 .30242 m .54815 0 L s .54815 0 m .55686 .612 L s .55686 .612 m 0 .85901 L s 0 .85901 m .07622 .30242 L s .92795 .34581 m .54815 0 L s .54815 0 m .55686 .612 L s .55686 .612 m 1 .89318 L s 1 .89318 m .92795 .34581 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{267, 281}, ImageMargins->{{34, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o 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Metetra .544 .763 .978 r .41205 .44803 .43755 .46832 .48076 .46224 .45572 .44164 Metetra .53 .757 .98 r .45572 .44164 .48076 .46224 .52489 .45693 .50032 .436 Metetra .515 .751 .981 r .50032 .436 .52489 .45693 .56999 .4524 .54592 .43116 Metetra .501 .745 .982 r .54592 .43116 .56999 .4524 .61614 .44867 .59259 .42711 Metetra .486 .738 .983 r .59259 .42711 .61614 .44867 .66342 .44577 .64041 .4239 Metetra .471 .731 .983 r .64041 .4239 .66342 .44577 .7119 .44374 .68947 .42155 Metetra .456 .723 .983 r .68947 .42155 .7119 .44374 .76168 .44259 .73985 .42009 Metetra .441 .715 .982 r .73985 .42009 .76168 .44259 .81285 .44237 .79166 .41956 Metetra .426 .707 .981 r .79166 .41956 .81285 .44237 .86551 .44311 .845 .41999 Metetra .613 .778 .96 r .17717 .4707 .20554 .49086 .24545 .48089 .21746 .46039 Metetra .601 .774 .963 r .21746 .46039 .24545 .48089 .286 .47162 .25841 .45077 Metetra .588 .77 .966 r .25841 .45077 .286 .47162 .32724 .46304 .30006 .44185 Metetra .575 .766 .969 r .30006 .44185 .32724 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.47856 L p .49268 .47134 L .536 .685 .935 r F P 0 g s .47699 .46621 m .49506 .46403 L .50836 .47647 L p .536 .685 .935 r F P 0 g s .49506 .46403 m .52151 .49109 L p .49032 .47856 L .51 .657 .926 r F P 0 g s .49506 .46403 m .45914 .46604 L .43198 .43965 L p .507 .663 .932 r F P 0 g s .45912 .46837 m .47699 .46621 L .49032 .47856 L p .536 .685 .935 r F P 0 g s .53973 .48671 m .55815 .48465 L .57107 .49696 L p .536 .685 .935 r F P 0 g s .52151 .49109 m .55818 .48843 L .58394 .51616 L p .526 .656 .918 r F P 0 g s .50836 .47647 m .52661 .47435 L .53973 .48671 L p .536 .685 .935 r F P 0 g s .55815 .48465 m .53973 .48671 L .52661 .47435 L p .536 .685 .935 r F P 0 g s .52661 .47435 m .50836 .47647 L .49506 .46403 L p .536 .685 .935 r F P 0 g s .55818 .48843 m .52151 .49109 L .49506 .46403 L p .523 .662 .924 r F P 0 g s .4279 .45817 m .44559 .45596 L .45912 .46837 L p .536 .685 .935 r F P 0 g s .47699 .46621 m .45912 .46837 L .44559 .45596 L p .536 .685 .935 r F P 0 g s .44559 .45596 m .4279 .45817 L .41419 .44569 L p .536 .685 .935 r F P 0 g s .58394 .51616 m .62134 .51284 L .64642 .54125 L p .539 .654 .91 r F P 0 g s .58967 .49495 m .57107 .49696 L .55815 .48465 L p .536 .685 .935 r F P 0 g s .62134 .51284 m .58394 .51616 L .55818 .48843 L p .537 .66 .916 r F P 0 g s .64642 .54125 m .68453 .53727 L .70896 .56636 L p .552 .653 .902 r F P 0 g s .68453 .53727 m .64642 .54125 L .62134 .51284 L p .55 .659 .908 r F P 0 g s .70896 .56636 m .74776 .56171 L .77156 .5915 L p .563 .651 .894 r F P 0 g s .74776 .56171 m .70896 .56636 L .68453 .53727 L p .562 .657 .9 r F P 0 g s .81102 .58616 m .77156 .5915 L .74776 .56171 L p .572 .654 .892 r F P 0 g s .44559 .45596 m .46349 .45372 L .47699 .46621 L p .536 .685 .935 r F P 0 g s .49506 .46403 m .47699 .46621 L .46349 .45372 L p .536 .685 .935 r F P 0 g s .41419 .44569 m .43191 .4434 L .44559 .45596 L p .536 .685 .935 r F P 0 g s .46349 .45372 m .44559 .45596 L .43191 .4434 L p .536 .685 .935 r F P 0 g s .43191 .4434 m .41419 .44569 L .40031 .43307 L p .536 .685 .935 r F P 0 g s .17998 .34225 m .21268 .34243 L .24293 .36658 L p .421 .66 .959 r F P 0 g s .21268 .34243 m .17998 .34225 L .14888 .31873 L p .414 .665 .964 r F P 0 g s .24293 .36658 m .27649 .36614 L .30591 .39092 L p .446 .662 .953 r F P 0 g s .27649 .36614 m .24293 .36658 L .21268 .34243 L p .441 .668 .958 r F P 0 g s .30591 .39092 m .34031 .38986 L .36892 .41528 L p .469 .663 .947 r F P 0 g s .34031 .38986 m .30591 .39092 L .27649 .36614 L p .464 .669 .952 r F P 0 g s .55815 .48465 m .57679 .48257 L .58967 .49495 L p .536 .685 .935 r F P 0 g s .60849 .49293 m .58967 .49495 L .57679 .48257 L p .536 .685 .935 r F P 0 g s .36892 .41528 m .40415 .41358 L .43198 .43965 L p .489 .663 .939 r F P 0 g s .40415 .41358 m .36892 .41528 L .34031 .38986 L p .485 .67 .945 r F P 0 g s .52661 .47435 m .54508 .4722 L .55815 .48465 L p .536 .685 .935 r F P 0 g s .57679 .48257 m .55815 .48465 L .54508 .4722 L p .536 .685 .935 r F P 0 g s .43198 .43965 m .46799 .4373 L .49506 .46403 L p .507 .663 .932 r F P 0 g s .46799 .4373 m .43198 .43965 L .40415 .41358 L p .504 .669 .937 r F P 0 g s .49506 .46403 m .51335 .46183 L .52661 .47435 L p .536 .685 .935 r F P 0 g s .54508 .4722 m .52661 .47435 L .51335 .46183 L p .536 .685 .935 r F P 0 g s .46349 .45372 m .4816 .45145 L .49506 .46403 L p .536 .685 .935 r F P 0 g s .49506 .46403 m .46799 .4373 L p .49992 .44916 L .52 .668 .929 r F P 0 g s .51335 .46183 m .49506 .46403 L p .49748 .45664 L .536 .685 .935 r F P 0 g s .51335 .46183 m .53184 .4596 L .54508 .4722 L p .536 .685 .935 r F P 0 g s .4816 .45145 m .49992 .44916 L .51335 .46183 L p .536 .685 .935 r F P 0 g s .53184 .4596 m .51335 .46183 L .49992 .44916 L p .536 .685 .935 r F P 0 g s .53185 .46103 m .49506 .46403 L p .49992 .44916 L .52 .668 .929 r F P 0 g s .49506 .46403 m .4816 .45145 L p .49748 .45664 L .536 .685 .935 r F P 0 g s .49506 .46403 m .53185 .46103 L .55818 .48843 L p .523 .662 .924 r F P 0 g s .43191 .4434 m .44984 .44107 L .46349 .45372 L p .536 .685 .935 r F P 0 g s .4816 .45145 m .46349 .45372 L .44984 .44107 L p .536 .685 .935 r F P 0 g s .57679 .48257 m .59564 .48046 L .60849 .49293 L p .536 .685 .935 r F P 0 g s .55818 .48843 m .59571 .48476 L .62134 .51284 L p .537 .66 .916 r F P 0 g s .54508 .4722 m .56375 .47003 L .57679 .48257 L p .536 .685 .935 r F P 0 g s .59564 .48046 m .57679 .48257 L .56375 .47003 L p .536 .685 .935 r F P 0 g s .56375 .47003 m .54508 .4722 L .53184 .4596 L p .536 .685 .935 r F P 0 g s .59571 .48476 m .55818 .48843 L .53185 .46103 L p .535 .667 .921 r F P 0 g s .40031 .43307 m .41806 .43069 L .43191 .4434 L p .536 .685 .935 r F P 0 g s .44984 .44107 m .43191 .4434 L .41806 .43069 L p .536 .685 .935 r F P 0 g s .62134 .51284 m .65959 .50849 L .68453 .53727 L p .55 .659 .908 r F P 0 g s .62752 .49088 m .60849 .49293 L .59564 .48046 L p .536 .685 .935 r F P 0 g s .65959 .50849 m .62134 .51284 L .59571 .48476 L p .549 .665 .913 r F P 0 g s .41806 .43069 m .40031 .43307 L .38627 .42029 L p .536 .685 .935 r F P 0 g s .68453 .53727 m .72348 .53223 L .74776 .56171 L p .562 .657 .9 r F P 0 g s .72348 .53223 m .68453 .53727 L .65959 .50849 L p .561 .663 .905 r F P 0 g s .74776 .56171 m .78738 .55598 L .81102 .58616 L p .572 .654 .892 r F P 0 g s .78738 .55598 m .74776 .56171 L .72348 .53223 L p .571 .66 .897 r F P 0 g s .85129 .57972 m .81102 .58616 L .78738 .55598 L p .581 .658 .89 r F P 0 g s .44984 .44107 m .46798 .43872 L .4816 .45145 L p .536 .685 .935 r F P 0 g s .49992 .44916 m .4816 .45145 L .46798 .43872 L p .536 .685 .935 r F P 0 g s .41806 .43069 m .43602 .42827 L .44984 .44107 L p .536 .685 .935 r F P 0 g s .46798 .43872 m .44984 .44107 L .43602 .42827 L p .536 .685 .935 r F P 0 g s .38627 .42029 m .40405 .41782 L .41806 .43069 L p .536 .685 .935 r F P 0 g s .43602 .42827 m .41806 .43069 L .40405 .41782 L p .536 .685 .935 r F P 0 g s .40405 .41782 m .38627 .42029 L .37206 .40736 L p .536 .685 .935 r F P 0 g s .59564 .48046 m .61472 .47833 L .62752 .49088 L p .536 .685 .935 r F P 0 g s .64677 .48881 m .62752 .49088 L .61472 .47833 L p .536 .685 .935 r F P 0 g s .56375 .47003 m .58264 .46784 L .59564 .48046 L p .536 .685 .935 r F P 0 g s .61472 .47833 m .59564 .48046 L .58264 .46784 L p .536 .685 .935 r F P 0 g s .53184 .4596 m .55055 .45735 L .56375 .47003 L p .536 .685 .935 r F P 0 g s .58264 .46784 m .56375 .47003 L .55055 .45735 L p .536 .685 .935 r F P 0 g s .14888 .31873 m .1816 .31861 L .21268 .34243 L p .414 .665 .964 r F P 0 g s .1816 .31861 m .14888 .31873 L .1169 .29553 L p .408 .67 .968 r F P 0 g s .21268 .34243 m .24628 .34169 L .27649 .36614 L p .441 .668 .958 r F P 0 g s .24628 .34169 m .21268 .34243 L .1816 .31861 L p .435 .674 .963 r F P 0 g s .27649 .36614 m .31096 .36476 L .34031 .38986 L p .464 .669 .952 r F P 0 g s .31096 .36476 m .27649 .36614 L .24628 .34169 L p .46 .675 .957 r F P 0 g s .49992 .44916 m .51845 .44685 L .53184 .4596 L p .536 .685 .935 r F P 0 g s .55055 .45735 m .53184 .4596 L .51845 .44685 L p .536 .685 .935 r F P 0 g s .34031 .38986 m .37561 .38782 L .40415 .41358 L p .485 .67 .945 r F P 0 g s .37561 .38782 m .34031 .38986 L .31096 .36476 L p .481 .676 .95 r F P 0 g s .40415 .41358 m .44026 .41088 L .46799 .4373 L p .504 .669 .937 r F P 0 g s .44026 .41088 m .40415 .41358 L .37561 .38782 L p .501 .675 .943 r F P 0 g s .46799 .4373 m .50489 .43394 L p .49992 .44916 L .52 .668 .929 r F P 0 g s .49992 .44916 m .48633 .43634 L p .50239 .4416 L .536 .685 .935 r F P 0 g s .51845 .44685 m .49992 .44916 L p .50239 .4416 L .536 .685 .935 r F P 0 g s .48633 .43634 m .50489 .43394 L .51845 .44685 L p .536 .685 .935 r F P 0 g s .50489 .43394 m .53185 .46103 L p .49992 .44916 L .52 .668 .929 r F P 0 g s .50489 .43394 m .46799 .4373 L .44026 .41088 L p .518 .674 .935 r F P 0 g s .46798 .43872 m .48633 .43634 L .49992 .44916 L p .536 .685 .935 r F P 0 g s .55055 .45735 m .56948 .45506 L .58264 .46784 L p .536 .685 .935 r F P 0 g s .53185 .46103 m .5695 .45699 L .59571 .48476 L p .535 .667 .921 r F P 0 g s .51845 .44685 m .53719 .4445 L .55055 .45735 L p .536 .685 .935 r F P 0 g s .56948 .45506 m .55055 .45735 L .53719 .4445 L p .536 .685 .935 r F P 0 g s .53719 .4445 m .51845 .44685 L .50489 .43394 L p .536 .685 .935 r F P 0 g s .5695 .45699 m .53185 .46103 L .50489 .43394 L p .533 .673 .927 r F P 0 g s .61472 .47833 m .63401 .47617 L .64677 .48881 L p .536 .685 .935 r F P 0 g s .59571 .48476 m .63411 .48003 L .65959 .50849 L p .549 .665 .913 r F P 0 g s .58264 .46784 m .60176 .46562 L .61472 .47833 L p .536 .685 .935 r F P 0 g s .63401 .47617 m .61472 .47833 L .60176 .46562 L p .536 .685 .935 r F P 0 g s .60176 .46562 m .58264 .46784 L .56948 .45506 L p .536 .685 .935 r F P 0 g s .63411 .48003 m .59571 .48476 L .5695 .45699 L p .547 .671 .919 r F P 0 g s .65959 .50849 m .69869 .50307 L .72348 .53223 L p .561 .663 .905 r F P 0 g s .66625 .48671 m .64677 .48881 L .63401 .47617 L p .536 .685 .935 r F P 0 g s .69869 .50307 m .65959 .50849 L .63411 .48003 L p .559 .669 .911 r F P 0 g s .43602 .42827 m .45419 .42583 L .46798 .43872 L p .536 .685 .935 r F P 0 g s .48633 .43634 m .46798 .43872 L .45419 .42583 L p .536 .685 .935 r F P 0 g s .72348 .53223 m .76327 .52611 L .78738 .55598 L p .571 .66 .897 r F P 0 g s .76327 .52611 m .72348 .53223 L .69869 .50307 L p .57 .666 .903 r F P 0 g s .78738 .55598 m .82783 .54914 L .85129 .57972 L p .581 .658 .89 r F P 0 g s .82783 .54914 m .78738 .55598 L .76327 .52611 L p .58 .664 .895 r F P 0 g s .89237 .57216 m .85129 .57972 L .82783 .54914 L p .59 .661 .888 r F P 0 g s .40405 .41782 m .42203 .41532 L .43602 .42827 L p .536 .685 .935 r F P 0 g s .45419 .42583 m .43602 .42827 L .42203 .41532 L p .536 .685 .935 r F P 0 g s .37206 .40736 m .38986 .4048 L .40405 .41782 L p .536 .685 .935 r F P 0 g s .42203 .41532 m .40405 .41782 L .38986 .4048 L p .536 .685 .935 r F P 0 g s .38986 .4048 m .37206 .40736 L .35768 .39427 L p .536 .685 .935 r F P 0 g s .45419 .42583 m .47257 .42336 L .48633 .43634 L p .536 .685 .935 r F P 0 g s .50489 .43394 m .48633 .43634 L .47257 .42336 L p .536 .685 .935 r F P 0 g s .42203 .41532 m .44023 .41279 L .45419 .42583 L p .536 .685 .935 r F P 0 g s .47257 .42336 m .45419 .42583 L .44023 .41279 L p .536 .685 .935 r F P 0 g s .38986 .4048 m .40788 .40221 L .42203 .41532 L p .536 .685 .935 r F P 0 g s .44023 .41279 m .42203 .41532 L .40788 .40221 L p .536 .685 .935 r F P 0 g s .35768 .39427 m .37551 .39162 L .38986 .4048 L p .536 .685 .935 r F P 0 g s .40788 .40221 m .38986 .4048 L .37551 .39162 L p .536 .685 .935 r F P 0 g s .37551 .39162 m .35768 .39427 L .34312 .38103 L p .536 .685 .935 r F P 0 g s .63401 .47617 m .65354 .47399 L .66625 .48671 L p .536 .685 .935 r F P 0 g s .68596 .48459 m .66625 .48671 L .65354 .47399 L p .536 .685 .935 r F P 0 g s .60176 .46562 m .6211 .46337 L .63401 .47617 L p .536 .685 .935 r F P 0 g s .65354 .47399 m .63401 .47617 L .6211 .46337 L p .536 .685 .935 r F P 0 g s .56948 .45506 m .58864 .45275 L .60176 .46562 L p .536 .685 .935 r F P 0 g s .6211 .46337 m .60176 .46562 L .58864 .45275 L p .536 .685 .935 r F P 0 g s .82783 .54914 m .86911 .54115 L .89237 .57216 L p .59 .661 .888 r F P 0 g s .93428 .56344 m .89237 .57216 L .86911 .54115 L p .598 .665 .886 r F P 0 g s .76327 .52611 m .8039 .51885 L .82783 .54914 L p .58 .664 .895 r F P 0 g s .86911 .54115 m .82783 .54914 L .8039 .51885 L p .589 .667 .893 r F P 0 g s .53719 .4445 m .55616 .44213 L .56948 .45506 L p .536 .685 .935 r F P 0 g s .58864 .45275 m .56948 .45506 L .55616 .44213 L p .536 .685 .935 r F P 0 g s .69869 .50307 m .73866 .49654 L .76327 .52611 L p .57 .666 .903 r F P 0 g s .8039 .51885 m .76327 .52611 L .73866 .49654 L p .58 .67 .901 r F P 0 g s .65354 .47399 m .67329 .47178 L .68596 .48459 L p .536 .685 .935 r F P 0 g s .63411 .48003 m .67337 .47422 L .69869 .50307 L p .559 .669 .911 r F P 0 g s .70591 .48245 m .68596 .48459 L .67329 .47178 L p .536 .685 .935 r F P 0 g s .73866 .49654 m .69869 .50307 L .67337 .47422 L p .569 .673 .909 r F P 0 g s .50489 .43394 m .52367 .4315 L .53719 .4445 L p .536 .685 .935 r F P 0 g s .55616 .44213 m .53719 .4445 L .52367 .4315 L p .536 .685 .935 r F P 0 g s .58864 .45275 m .60802 .45042 L .6211 .46337 L p .536 .685 .935 r F P 0 g s .5695 .45699 m .60805 .45188 L .63411 .48003 L p .547 .671 .919 r F P 0 g s .6211 .46337 m .64066 .4611 L .65354 .47399 L p .536 .685 .935 r F P 0 g s .67329 .47178 m .65354 .47399 L .64066 .4611 L p .536 .685 .935 r F P 0 g s .64066 .4611 m .6211 .46337 L .60802 .45042 L p .536 .685 .935 r F P 0 g s .67337 .47422 m .63411 .48003 L .60805 .45188 L p .558 .675 .917 r F P 0 g s .52367 .4315 m .54268 .42904 L .55616 .44213 L p .536 .685 .935 r F P 0 g s .50489 .43394 m .54268 .42952 L .5695 .45699 L p .533 .673 .927 r F P 0 g s .55616 .44213 m .57536 .43973 L .58864 .45275 L p .536 .685 .935 r F P 0 g s .60802 .45042 m .58864 .45275 L .57536 .43973 L p .536 .685 .935 r F P 0 g s .57536 .43973 m .55616 .44213 L .54268 .42904 L p .536 .685 .935 r F P 0 g s .60805 .45188 m .5695 .45699 L .54268 .42952 L p .545 .677 .925 r F P 0 g s .44026 .41088 m .47727 .40715 L .50489 .43394 L p .518 .674 .935 r F P 0 g s .47257 .42336 m .49116 .42087 L .50489 .43394 L p .536 .685 .935 r F P 0 g s .50489 .43394 m .47727 .40715 L p .50998 .41834 L .531 .679 .933 r F P 0 g s .52367 .4315 m .50489 .43394 L p .50742 .42618 L .536 .685 .935 r F P 0 g s .49116 .42087 m .50998 .41834 L .52367 .4315 L p .536 .685 .935 r F P 0 g s .54268 .42904 m .52367 .4315 L .50998 .41834 L p .536 .685 .935 r F P 0 g s .54268 .42952 m .50489 .43394 L p .50998 .41834 L .531 .679 .933 r F P 0 g s .50489 .43394 m .49116 .42087 L p .50742 .42618 L .536 .685 .935 r F P 0 g s .37561 .38782 m .41182 .38477 L .44026 .41088 L p .501 .675 .943 r F P 0 g s .47727 .40715 m .44026 .41088 L .41182 .38477 L p .515 .681 .941 r F P 0 g s .31096 .36476 m .34634 .36238 L .37561 .38782 L p .481 .676 .95 r F P 0 g s .41182 .38477 m .37561 .38782 L .34634 .36238 L p .497 .682 .949 r F P 0 g s .44023 .41279 m .45864 .41023 L .47257 .42336 L p .536 .685 .935 r F P 0 g s .49116 .42087 m .47257 .42336 L .45864 .41023 L p .536 .685 .935 r F P 0 g s .24628 .34169 m .28081 .33997 L .31096 .36476 L p .46 .675 .957 r F P 0 g s .34634 .36238 m .31096 .36476 L .28081 .33997 L p .477 .682 .956 r F P 0 g s .1816 .31861 m .21524 .31754 L .24628 .34169 L p .435 .674 .963 r F P 0 g s .28081 .33997 m .24628 .34169 L .21524 .31754 L p .455 .681 .962 r F P 0 g s .40788 .40221 m .4261 .39958 L .44023 .41279 L p .536 .685 .935 r F P 0 g s .45864 .41023 m .44023 .41279 L .4261 .39958 L p .536 .685 .935 r F P 0 g s .1169 .29553 m .14963 .29511 L .1816 .31861 L p .408 .67 .968 r F P 0 g s .21524 .31754 m .1816 .31861 L .14963 .29511 L p .43 .679 .968 r F P 0 g s .14963 .29511 m .1169 .29553 L .08398 .27266 L p .401 .676 .972 r F P 0 g s .37551 .39162 m .39354 .38893 L .40788 .40221 L p .536 .685 .935 r F P 0 g s .4261 .39958 m .40788 .40221 L .39354 .38893 L p .536 .685 .935 r F P 0 g s .34312 .38103 m .36097 .37828 L .37551 .39162 L p .536 .685 .935 r F P 0 g s .39354 .38893 m .37551 .39162 L .36097 .37828 L p .536 .685 .935 r F P 0 g s .36097 .37828 m .34312 .38103 L .32838 .36761 L p .536 .685 .935 r F P 0 g s .45864 .41023 m .47727 .40764 L .49116 .42087 L p .536 .685 .935 r F P 0 g s .50998 .41834 m .49116 .42087 L .47727 .40764 L p .536 .685 .935 r F P 0 g s .4261 .39958 m .44454 .39693 L .45864 .41023 L p .536 .685 .935 r F P 0 g s .47727 .40764 m .45864 .41023 L .44454 .39693 L p .536 .685 .935 r F P 0 g s .39354 .38893 m .41179 .38621 L .4261 .39958 L p .536 .685 .935 r F P 0 g s .44454 .39693 m .4261 .39958 L .41179 .38621 L p .536 .685 .935 r F P 0 g s .36097 .37828 m .37903 .37549 L .39354 .38893 L p .536 .685 .935 r F P 0 g s .41179 .38621 m .39354 .38893 L .37903 .37549 L p .536 .685 .935 r F P 0 g s .32838 .36761 m .34625 .36477 L .36097 .37828 L p .536 .685 .935 r F P 0 g s .37903 .37549 m .36097 .37828 L .34625 .36477 L p .536 .685 .935 r F P 0 g s .34625 .36477 m .32838 .36761 L .31346 .35404 L p .536 .685 .935 r F P 0 g s .86911 .54115 m .91123 .532 L .93428 .56344 L p .598 .665 .886 r F P 0 g s .977 .55352 m .93428 .56344 L .91123 .532 L p .605 .668 .884 r F P 0 g s .8039 .51885 m .84539 .51045 L .86911 .54115 L p .589 .667 .893 r F P 0 g s .91123 .532 m .86911 .54115 L .84539 .51045 L p .597 .671 .891 r F P 0 g s .67329 .47178 m .69329 .46954 L .70591 .48245 L p .536 .685 .935 r F P 0 g s .72609 .48028 m .70591 .48245 L .69329 .46954 L p .536 .685 .935 r F P 0 g s .73866 .49654 m .77949 .48887 L .8039 .51885 L p .58 .67 .901 r F P 0 g s .84539 .51045 m .8039 .51885 L .77949 .48887 L p .589 .674 .899 r F P 0 g s .64066 .4611 m .66047 .4588 L .67329 .47178 L p .536 .685 .935 r F P 0 g s .69329 .46954 m .67329 .47178 L .66047 .4588 L p .536 .685 .935 r F P 0 g s .69329 .46954 m .71352 .46728 L .72609 .48028 L p .536 .685 .935 r F P 0 g s .67337 .47422 m .71352 .46728 L .73866 .49654 L p .569 .673 .909 r F P 0 g s .74651 .47808 m .72609 .48028 L .71352 .46728 L p .536 .685 .935 r F P 0 g s .77949 .48887 m .73866 .49654 L .71352 .46728 L p .579 .676 .906 r F P 0 g s .60802 .45042 m .62763 .44805 L .64066 .4611 L p .536 .685 .935 r F P 0 g s .66047 .4588 m .64066 .4611 L .62763 .44805 L p .536 .685 .935 r F P 0 g s .62763 .44805 m .64748 .44566 L .66047 .4588 L p .536 .685 .935 r F P 0 g s .60805 .45188 m .64748 .44566 L .67337 .47422 L p .558 .675 .917 r F P 0 g s .66047 .4588 m .68051 .45647 L .69329 .46954 L p .536 .685 .935 r F P 0 g s .71352 .46728 m .69329 .46954 L .68051 .45647 L p .536 .685 .935 r F P 0 g s .68051 .45647 m .66047 .4588 L .64748 .44566 L p .536 .685 .935 r F P 0 g s .71352 .46728 m .67337 .47422 L .64748 .44566 L p .568 .679 .914 r F P 0 g s .57536 .43973 m .59478 .4373 L .60802 .45042 L p .536 .685 .935 r F P 0 g s .62763 .44805 m .60802 .45042 L .59478 .4373 L p .536 .685 .935 r F P 0 g s .54268 .42904 m .56191 .42654 L .57536 .43973 L p .536 .685 .935 r F P 0 g s .59478 .4373 m .57536 .43973 L .56191 .42654 L p .536 .685 .935 r F P 0 g s .56191 .42654 m .58137 .42402 L .59478 .4373 L p .536 .685 .935 r F P 0 g s .54268 .42952 m .58137 .42402 L .60805 .45188 L p .545 .677 .925 r F P 0 g s .59478 .4373 m .61443 .43484 L .62763 .44805 L p .536 .685 .935 r F P 0 g s .64748 .44566 m .62763 .44805 L .61443 .43484 L p .536 .685 .935 r F P 0 g s .61443 .43484 m .59478 .4373 L .58137 .42402 L p .536 .685 .935 r F P 0 g s .64748 .44566 m .60805 .45188 L .58137 .42402 L p .556 .682 .922 r F P 0 g s .50998 .41834 m .52902 .41578 L .54268 .42904 L p .536 .685 .935 r F P 0 g s .56191 .42654 m .54268 .42904 L .52902 .41578 L p .536 .685 .935 r F P 0 g s .47727 .40715 m .5152 .40236 L p .50998 .41834 L .531 .679 .933 r F P 0 g s .50998 .41834 m .49612 .40501 L p .51257 .4104 L .536 .685 .935 r F P 0 g s .52902 .41578 m .50998 .41834 L p .51257 .4104 L .536 .685 .935 r F P 0 g s .49612 .40501 m .5152 .40236 L .52902 .41578 L p .536 .685 .935 r F P 0 g s .5152 .40236 m .54268 .42952 L p .50998 .41834 L .531 .679 .933 r F P 0 g s .52902 .41578 m .54829 .41319 L .56191 .42654 L p .536 .685 .935 r F P 0 g s .58137 .42402 m .56191 .42654 L .54829 .41319 L p .536 .685 .935 r F P 0 g s .54829 .41319 m .52902 .41578 L .5152 .40236 L p .536 .685 .935 r F P 0 g s .58137 .42402 m .54268 .42952 L .5152 .40236 L p .543 .684 .931 r F P 0 g s .47727 .40764 m .49612 .40501 L .50998 .41834 L p .536 .685 .935 r F P 0 g s .41182 .38477 m .44896 .38068 L .47727 .40715 L p .515 .681 .941 r F P 0 g s .5152 .40236 m .47727 .40715 L .44896 .38068 L p .528 .686 .939 r F P 0 g s .44454 .39693 m .4632 .39424 L .47727 .40764 L p .536 .685 .935 r F P 0 g s .49612 .40501 m .47727 .40764 L .4632 .39424 L p .536 .685 .935 r F P 0 g s .34634 .36238 m .38265 .35897 L .41182 .38477 L p .497 .682 .949 r F P 0 g s .44896 .38068 m .41182 .38477 L .38265 .35897 L p .512 .687 .946 r F P 0 g s .41179 .38621 m .43026 .38346 L .44454 .39693 L p .536 .685 .935 r F P 0 g s .4632 .39424 m .44454 .39693 L .43026 .38346 L p .536 .685 .935 r F P 0 g s .37903 .37549 m .39731 .37268 L .41179 .38621 L p .536 .685 .935 r F P 0 g s .43026 .38346 m .41179 .38621 L .39731 .37268 L p .536 .685 .935 r F P 0 g s .28081 .33997 m .31627 .33724 L .34634 .36238 L p .477 .682 .956 r F P 0 g s .38265 .35897 m .34634 .36238 L .31627 .33724 L p .494 .688 .954 r F P 0 g s .34625 .36477 m .36434 .36189 L .37903 .37549 L p .536 .685 .935 r F P 0 g s .39731 .37268 m .37903 .37549 L .36434 .36189 L p .536 .685 .935 r F P 0 g s .21524 .31754 m .24982 .31549 L .28081 .33997 L p .455 .681 .962 r F P 0 g s .31627 .33724 m .28081 .33997 L .24982 .31549 L p .473 .688 .961 r F P 0 g s .31346 .35404 m .33135 .35109 L .34625 .36477 L p .536 .685 .935 r F P 0 g s .36434 .36189 m .34625 .36477 L .33135 .35109 L p .536 .685 .935 r F P 0 g s .14963 .29511 m .1833 .29372 L .21524 .31754 L p .43 .679 .968 r F P 0 g s .24982 .31549 m .21524 .31754 L .1833 .29372 L p .45 .687 .967 r F P 0 g s .33135 .35109 m .31346 .35404 L .29835 .34029 L p .536 .685 .935 r F P 0 g s .08398 .27266 m .11672 .27192 L .14963 .29511 L p .401 .676 .972 r F P 0 g s .1833 .29372 m .14963 .29511 L .11672 .27192 L p .424 .685 .972 r F P 0 g s .11672 .27192 m .08398 .27266 L .05007 .2501 L p .395 .681 .975 r F P 0 g s .4632 .39424 m .48209 .39152 L .49612 .40501 L p .536 .685 .935 r F P 0 g s .5152 .40236 m .49612 .40501 L .48209 .39152 L p .536 .685 .935 r F P 0 g s .43026 .38346 m .44896 .38068 L .4632 .39424 L p .536 .685 .935 r F P 0 g s .48209 .39152 m .4632 .39424 L .44896 .38068 L p .536 .685 .935 r F P 0 g s .39731 .37268 m .41581 .36983 L .43026 .38346 L p .536 .685 .935 r F P 0 g s .44896 .38068 m .43026 .38346 L .41581 .36983 L p .536 .685 .935 r F P 0 g s .36434 .36189 m .38265 .35897 L .39731 .37268 L p .536 .685 .935 r F P 0 g s .41581 .36983 m .39731 .37268 L .38265 .35897 L p .536 .685 .935 r F P 0 g s .33135 .35109 m .34946 .34811 L .36434 .36189 L p .536 .685 .935 r F P 0 g s .38265 .35897 m .36434 .36189 L .34946 .34811 L p .536 .685 .935 r F P 0 g s .29835 .34029 m .31627 .33724 L .33135 .35109 L p .536 .685 .935 r F P 0 g s .34946 .34811 m .33135 .35109 L .31627 .33724 L p .536 .685 .935 r F P 0 g s .31627 .33724 m .29835 .34029 L .28305 .32637 L p .536 .685 .935 r F P 0 g s .91123 .532 m .95418 .52163 L .977 .55352 L p .605 .668 .884 r F P 0 g s .84539 .51045 m .88773 .50085 L .91123 .532 L p .597 .671 .891 r F P 0 g s .95418 .52163 m .91123 .532 L .88773 .50085 L p .605 .674 .889 r F P 0 g s .77949 .48887 m .82119 .48003 L .84539 .51045 L p .589 .674 .899 r F P 0 g s .88773 .50085 m .84539 .51045 L .82119 .48003 L p .597 .677 .896 r F P 0 g s .71352 .46728 m .75455 .45918 L .77949 .48887 L p .579 .676 .906 r F P 0 g s .82119 .48003 m .77949 .48887 L .75455 .45918 L p .588 .68 .904 r F P 0 g s .71352 .46728 m .73399 .46499 L .74651 .47808 L p .536 .685 .935 r F P 0 g s .64748 .44566 m .68781 .43831 L .71352 .46728 L p .568 .679 .914 r F P 0 g s .68051 .45647 m .70079 .45412 L .71352 .46728 L p .536 .685 .935 r F P 0 g s .75455 .45918 m .71352 .46728 L .68781 .43831 L p .578 .683 .912 r F P 0 g s .73399 .46499 m .71352 .46728 L .70079 .45412 L p .536 .685 .935 r F P 0 g s .64748 .44566 m .66757 .44324 L .68051 .45647 L p .536 .685 .935 r F P 0 g s .70079 .45412 m .68051 .45647 L .66757 .44324 L p .536 .685 .935 r F P 0 g s .58137 .42402 m .62098 .4174 L .64748 .44566 L p .556 .682 .922 r F P 0 g s .61443 .43484 m .63433 .43236 L .64748 .44566 L p .536 .685 .935 r F P 0 g s .68781 .43831 m .64748 .44566 L .62098 .4174 L p .567 .686 .92 r F P 0 g s .66757 .44324 m .64748 .44566 L .63433 .43236 L p .536 .685 .935 r F P 0 g s .58137 .42402 m .60107 .42147 L .61443 .43484 L p .536 .685 .935 r F P 0 g s .63433 .43236 m .61443 .43484 L .60107 .42147 L p .536 .685 .935 r F P 0 g s .5152 .40236 m .55405 .39646 L .58137 .42402 L p .543 .684 .931 r F P 0 g s .54829 .41319 m .5678 .41057 L .58137 .42402 L p .536 .685 .935 r F P 0 g s .62098 .4174 m .58137 .42402 L .55405 .39646 L p .555 .688 .928 r F P 0 g s .60107 .42147 m .58137 .42402 L .5678 .41057 L p .536 .685 .935 r F P 0 g s .5152 .40236 m .53451 .39967 L .54829 .41319 L p .536 .685 .935 r F P 0 g s .5678 .41057 m .54829 .41319 L .53451 .39967 L p .536 .685 .935 r F P 0 g s .48209 .39152 m .5012 .38877 L .5152 .40236 L p .536 .685 .935 r F P 0 g s .44896 .38068 m .46787 .37786 L .48209 .39152 L p .536 .685 .935 r F P 0 g s .5012 .38877 m .48209 .39152 L .46787 .37786 L p .536 .685 .935 r F P 0 g s .46787 .37786 m .48702 .375 L .5012 .38877 L p .536 .685 .935 r F P 0 g s .44896 .38068 m .48702 .3755 L .5152 .40236 L p .528 .686 .939 r F P 0 g s .5152 .40236 m .5012 .38877 L p .51785 .39422 L .536 .685 .935 r F P 0 g s .55405 .39646 m .5152 .40236 L p .52054 .38598 L .541 .691 .936 r F P 0 g s .53451 .39967 m .5152 .40236 L p .51785 .39422 L .536 .685 .935 r F P 0 g s .5012 .38877 m .52054 .38598 L .53451 .39967 L p .536 .685 .935 r F P 0 g s .52054 .38598 m .5012 .38877 L .48702 .375 L p .536 .685 .935 r F P 0 g s .5152 .40236 m .48702 .3755 L p .52054 .38598 L .541 .691 .936 r F P 0 g s .41581 .36983 m .43453 .36694 L .44896 .38068 L p .536 .685 .935 r F P 0 g s .46787 .37786 m .44896 .38068 L .43453 .36694 L p .536 .685 .935 r F P 0 g s .38265 .35897 m .40117 .35602 L .41581 .36983 L p .536 .685 .935 r F P 0 g s .43453 .36694 m .41581 .36983 L .40117 .35602 L p .536 .685 .935 r F P 0 g s .40117 .35602 m .41992 .35303 L .43453 .36694 L p .536 .685 .935 r F P 0 g s .38265 .35897 m .41989 .3545 L .44896 .38068 L p .512 .687 .946 r F P 0 g s .43453 .36694 m .45348 .36402 L .46787 .37786 L p .536 .685 .935 r F P 0 g s .48702 .375 m .46787 .37786 L .45348 .36402 L p .536 .685 .935 r F P 0 g s .45348 .36402 m .43453 .36694 L .41992 .35303 L p .536 .685 .935 r F P 0 g s .48702 .3755 m .44896 .38068 L .41989 .3545 L p .526 .693 .944 r F P 0 g s .34946 .34811 m .36779 .34509 L .38265 .35897 L p .536 .685 .935 r F P 0 g s .40117 .35602 m .38265 .35897 L .36779 .34509 L p .536 .685 .935 r F P 0 g s .31627 .33724 m .3344 .33416 L .34946 .34811 L p .536 .685 .935 r F P 0 g s .36779 .34509 m .34946 .34811 L .3344 .33416 L p .536 .685 .935 r F P 0 g s .3344 .33416 m .35276 .33104 L .36779 .34509 L p .536 .685 .935 r F P 0 g s .31627 .33724 m .35267 .33347 L .38265 .35897 L p .494 .688 .954 r F P 0 g s .36779 .34509 m .38635 .34204 L .40117 .35602 L p .536 .685 .935 r F P 0 g s .41992 .35303 m .40117 .35602 L .38635 .34204 L p .536 .685 .935 r F P 0 g s .38635 .34204 m .36779 .34509 L .35276 .33104 L p .536 .685 .935 r F P 0 g s .41989 .3545 m .38265 .35897 L .35267 .33347 L p .509 .694 .952 r F P 0 g s .28305 .32637 m .30099 .32322 L .31627 .33724 L p .536 .685 .935 r F P 0 g s .3344 .33416 m .31627 .33724 L .30099 .32322 L p .536 .685 .935 r F P 0 g s .24982 .31549 m .28535 .31241 L .31627 .33724 L p .473 .688 .961 r F P 0 g s .30099 .32322 m .31915 .32003 L .3344 .33416 L p .536 .685 .935 r F P 0 g s .35276 .33104 m .3344 .33416 L .31915 .32003 L p .536 .685 .935 r F P 0 g s .35267 .33347 m .31627 .33724 L .28535 .31241 L p .49 .695 .959 r F P 0 g s .1833 .29372 m .21794 .29132 L .24982 .31549 L p .45 .687 .967 r F P 0 g s .28535 .31241 m .24982 .31549 L .21794 .29132 L p .469 .695 .966 r F P 0 g s .11672 .27192 m .15042 .2702 L .1833 .29372 L p .424 .685 .972 r F P 0 g s .21794 .29132 m .1833 .29372 L .15042 .2702 L p .445 .693 .971 r F P 0 g s .05007 .2501 m .08281 .24905 L .11672 .27192 L p .395 .681 .975 r F P 0 g s .15042 .2702 m .11672 .27192 L .08281 .24905 L p .418 .691 .976 r F P 0 g s .70079 .45412 m .72132 .45173 L .73399 .46499 L p .536 .685 .935 r F P 0 g s .66757 .44324 m .6879 .44079 L .70079 .45412 L p .536 .685 .935 r F P 0 g s .72132 .45173 m .70079 .45412 L .6879 .44079 L p .536 .685 .935 r F P 0 g s .63433 .43236 m .65446 .42984 L .66757 .44324 L p .536 .685 .935 r F P 0 g s .6879 .44079 m .66757 .44324 L .65446 .42984 L p .536 .685 .935 r F P 0 g s .60107 .42147 m .62101 .41888 L .63433 .43236 L p .536 .685 .935 r F P 0 g s .65446 .42984 m .63433 .43236 L 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.935 r F P 0 g s .42414 .33581 m .40513 .33894 L .39015 .32468 L p .536 .685 .935 r F P 0 g s .4581 .34892 m .41989 .3545 L .39004 .32862 L p .524 .699 .95 r F P 0 g s .31915 .32003 m .33752 .3168 L .35276 .33104 L p .536 .685 .935 r F P 0 g s .37134 .32788 m .35276 .33104 L .33752 .3168 L p .536 .685 .935 r F P 0 g s .28535 .31241 m .32186 .30827 L .35267 .33347 L p .49 .695 .959 r F P 0 g s .33752 .3168 m .35613 .31353 L .37134 .32788 L p .536 .685 .935 r F P 0 g s .39015 .32468 m .37134 .32788 L .35613 .31353 L p .536 .685 .935 r F P 0 g s .39004 .32862 m .35267 .33347 L .32186 .30827 L p .506 .701 .957 r F P 0 g s .21794 .29132 m .25355 .28789 L .28535 .31241 L p .469 .695 .966 r F P 0 g s .32186 .30827 m .28535 .31241 L .25355 .28789 L p .486 .701 .964 r F P 0 g s .15042 .2702 m .1851 .26746 L .21794 .29132 L p .445 .693 .971 r F P 0 g s .25355 .28789 m .21794 .29132 L .1851 .26746 L p .464 .701 .97 r F P 0 g s .08281 .24905 m .11653 .247 L .15042 .2702 L p .418 .691 .976 r F P 0 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" for local maxima, local minima, and saddle points.\n", StyleBox["b) ", FontSlant->"Italic"], "Find the value of ", StyleBox["f[x,y]", FontFamily->"Courier", FontWeight->"Bold"], " at the points found in ", StyleBox["a)", FontSlant->"Italic"], ".\n", StyleBox["c) ", FontSlant->"Italic"], "Produce a graph of ", StyleBox["f[x,y]", FontFamily->"Courier", FontWeight->"Bold"], "that includes the points found in ", StyleBox["a)", FontSlant->"Italic"], "." }], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[TextData["Solution"], "Subsubsection", Evaluatable->False, PageBreakWithin->Automatic, AspectRatioFixed->True], Cell[TextData[{ StyleBox["a)", FontSlant->"Italic"], " First find critical points." }], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{ Cell["f[x_,y_] = 3 x y - x^3 - y^2", "Input", AspectRatioFixed->True], Cell[BoxData[ \(\(-x\^3\) + 3\ x\ y - y\^2\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["cp = CriticalPoints[f[x,y]]", "Input", AspectRatioFixed->True], Cell[BoxData[ \({{y \[Rule] 0, x \[Rule] 0}, {y \[Rule] 9\/4, x \[Rule] 3\/2}}\)], "Output"] }, Open ]], Cell[TextData["Now the second derivative test."], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{ Cell["d = Discriminant[f[x,y]]", "Input", AspectRatioFixed->True], Cell[BoxData[ \(3\ \((\(-3\) + 4\ x)\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["d /. cp", "Input", AspectRatioFixed->True], Cell[BoxData[ \({\(-9\), 9}\)], "Output"] }, Open ]], Cell[TextData[{ "The point ", StyleBox["{0,0}", FontFamily->"Courier", FontWeight->"Bold"], " is a saddle point. The point ", StyleBox["{3/2,9/4}", FontFamily->"Courier", FontWeight->"Bold"], " is either a local max or min. Test ", StyleBox["D[f[x,y],x,x]", FontFamily->"Courier", FontWeight->"Bold"], " to find out." }], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{ Cell["D[f[x,y],x,x] /. {x->3/2, y->9/4}", "Input", AspectRatioFixed->True], Cell[BoxData[ \(\(-9\)\)], "Output"] }, Open ]], Cell[TextData[{ "This means there is a local max at ", StyleBox["{3/2,9/4}", FontFamily->"Courier", FontWeight->"Bold"], "." }], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[{ StyleBox["b)", FontSlant->"Italic"], "" }], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{ Cell["f[x,y] /. cp", "Input", AspectRatioFixed->True], Cell[BoxData[ \({0, 27\/16}\)], "Output"] }, Open ]], Cell[TextData[{ StyleBox["c)", FontSlant->"Italic"], "" }], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[CellGroupData[{ Cell["\<\ Plot3D[f[x,y], {x,-0.5,2.5}, {y,-0.5,4}, BoxRatios->{1,1,2}, ViewPoint->{2.539, -1.868, 1.231}]\ \>", "Input", 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.69661 .97147 .72778 1.07201 .69275 1.15017 Metetra .662 .409 .527 r .69275 1.15017 .72778 1.07201 .7598 1.16492 .7244 1.23479 Metetra .654 .391 .509 r .7244 1.23479 .7598 1.16492 .79254 1.24645 .75674 1.30737 Metetra .636 .357 .479 r .75674 1.30737 .79254 1.24645 .82582 1.31259 .78962 1.36391 Metetra .593 .288 .422 r .78962 1.36391 .82582 1.31259 .85943 1.35914 .82282 1.4002 Metetra .469 .113 .278 r .82282 1.4002 .85943 1.35914 .89309 1.38185 .85608 1.41203 Metetra .85608 1.41203 .89309 1.38185 .92648 1.37649 .88908 1.39526 Metetra .878 .958 .851 r .88908 1.39526 .92648 1.37649 .95924 1.33907 .92148 1.34599 Metetra .874 .796 .771 r .92148 1.34599 .95924 1.33907 .99096 1.266 .95286 1.26081 Metetra .622 .395 .552 r .487 .69507 .52157 .58261 .54782 .66964 .5131 .77575 Metetra .636 .405 .551 r .5131 .77575 .54782 .66964 .57495 .76315 .54003 .8627 Metetra .647 .412 .548 r .54003 .8627 .57495 .76315 .603 .86075 .56784 .95343 Metetra .656 .415 .544 r .56784 .95343 .603 .86075 .632 .95978 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.532 r .41463 .90157 .45134 .80157 .4773 .87537 .44047 .96796 Metetra .627 .384 .531 r .44047 .96796 .4773 .87537 .50404 .95521 .46704 1.04015 Metetra .64 .392 .527 r .46704 1.04015 .50404 .95521 .53162 1.03852 .49441 1.11549 Metetra .65 .396 .521 r .49441 1.11549 .53162 1.03852 .56007 1.12248 .52261 1.1911 Metetra .656 .393 .51 r .52261 1.1911 .56007 1.12248 .58939 1.20403 .55165 1.26382 Metetra .658 .383 .492 r .55165 1.26382 .58939 1.20403 .61955 1.2798 .5815 1.33027 Metetra .652 .361 .464 r .5815 1.33027 .61955 1.2798 .65048 1.3462 .6121 1.38679 Metetra .633 .314 .412 r .6121 1.38679 .65048 1.3462 .68209 1.39935 .64337 1.42952 Metetra .574 .201 .296 r .64337 1.42952 .68209 1.39935 .71421 1.43524 .67514 1.45445 Metetra .307 0 0 r .67514 1.45445 .71421 1.43524 .74665 1.44974 .70724 1.45749 Metetra .656 .952 .949 r .70724 1.45749 .74665 1.44974 .77917 1.43872 .73944 1.43462 Metetra .809 .806 .848 r .73944 1.43462 .77917 1.43872 .81147 1.39827 .77144 1.38203 Metetra .806 .715 .764 r .77144 1.38203 .81147 1.39827 .84323 1.32477 .80294 1.29627 Metetra .801 .671 .72 r .80294 1.29627 .84323 1.32477 .87407 1.21515 .83358 1.17446 Metetra .6 .356 .518 r .37691 .99452 .41463 .90157 .44047 .96796 .40265 1.05296 Metetra .62 .37 .517 r .40265 1.05296 .44047 .96796 .46704 1.04015 .42909 1.11698 Metetra .635 .378 .513 r .42909 1.11698 .46704 1.04015 .49441 1.11549 .45627 1.18382 Metetra .646 .381 .504 r .45627 1.18382 .49441 1.11549 .52261 1.1911 .48424 1.25054 Metetra .653 .377 .489 r .48424 1.25054 .52261 1.1911 .55165 1.26382 .51301 1.31394 Metetra .654 .362 .465 r .51301 1.31394 .55165 1.26382 .5815 1.33027 .54258 1.37056 Metetra .645 .329 .422 r .54258 1.37056 .5815 1.33027 .6121 1.38679 .57288 1.41675 Metetra .612 .253 .335 r .57288 1.41675 .6121 1.38679 .64337 1.42952 .60383 1.44863 Metetra .485 .03 .094 r .60383 1.44863 .64337 1.42952 .67514 1.45445 .63529 1.46222 Metetra .239 .754 .768 r .63529 1.46222 .67514 1.45445 .70724 1.45749 .66708 1.45351 Metetra .758 .848 .918 r .66708 1.45351 .70724 1.45749 .73944 1.43462 .69899 1.41857 Metetra .786 .732 .802 r .69899 1.41857 .73944 1.43462 .77144 1.38203 .73074 1.35373 Metetra .787 .677 .743 r .73074 1.35373 .77144 1.38203 .80294 1.29627 .76202 1.25571 Metetra .786 .648 .71 r .76202 1.25571 .80294 1.29627 .83358 1.17446 .7925 1.12183 Metetra .588 .335 .501 r .33823 1.07989 .37691 .99452 .40265 1.05296 .36392 1.12986 Metetra .611 .351 .499 r .36392 1.12986 .40265 1.05296 .42909 1.11698 .39023 1.18518 Metetra .628 .36 .493 r .39023 1.18518 .42909 1.11698 .45627 1.18382 .41725 1.24301 Metetra .64 .362 .48 r .41725 1.24301 .45627 1.18382 .48424 1.25054 .44502 1.30035 Metetra .647 .354 .459 r .44502 1.30035 .48424 1.25054 .51301 1.31394 .47356 1.35392 Metetra .646 .33 .423 r .47356 1.35392 .51301 1.31394 .54258 1.37056 .50287 1.40026 Metetra .629 .276 .353 r .50287 1.40026 .54258 1.37056 .57288 1.41675 .5329 1.43568 Metetra .561 .132 .183 r .5329 1.43568 .57288 1.41675 .60383 1.44863 .56357 1.45633 Metetra .18 0 0 r .56357 1.45633 .60383 1.44863 .63529 1.46222 .59475 1.45828 Metetra .643 .874 .984 r .59475 1.45828 .63529 1.46222 .66708 1.45351 .62627 1.43758 Metetra .755 .75 .848 r .62627 1.43758 .66708 1.45351 .69899 1.41857 .65793 1.39042 Metetra .768 .683 .77 r .65793 1.39042 .69899 1.41857 .73074 1.35373 .68946 1.31328 Metetra .771 .649 .727 r .68946 1.31328 .73074 1.35373 .76202 1.25571 .72058 1.20307 Metetra .774 .63 .701 r .72058 1.20307 .76202 1.25571 .7925 1.12183 .75095 1.0573 Metetra .571 .306 .476 r .29867 1.15713 .33823 1.07989 .36392 1.12986 .32432 1.19813 Metetra .598 .325 .474 r .32432 1.19813 .36392 1.12986 .39023 1.18518 .35055 1.24425 Metetra .618 .334 .465 r .35055 1.24425 .39023 1.18518 .41725 1.24301 .37744 1.29259 Metetra .632 .334 .447 r .37744 1.29259 .41725 1.24301 .44502 1.30035 .40504 1.34005 Metetra .638 .319 .415 r .40504 1.34005 .44502 1.30035 .47356 1.35392 .43339 1.38335 Metetra .631 .278 .354 r .43339 1.38335 .47356 1.35392 .50287 1.40026 .46247 1.41899 Metetra .592 .175 .22 r .46247 1.41899 .50287 1.40026 .5329 1.43568 .49226 1.44326 Metetra .387 0 0 r .49226 1.44326 .5329 1.43568 .56357 1.45633 .52268 1.45237 Metetra .428 .827 .981 r .52268 1.45237 .56357 1.45633 .59475 1.45828 .55362 1.44241 Metetra .705 .767 .9 r .55362 1.44241 .59475 1.45828 .62627 1.43758 .58491 1.40954 Metetra .742 .689 .8 r .58491 1.40954 .62627 1.43758 .65793 1.39042 .61636 1.35009 Metetra .753 .65 .747 r .61636 1.35009 .65793 1.39042 .68946 1.31328 .64773 1.26068 Metetra .76 .628 .714 r .64773 1.26068 .68946 1.31328 .72058 1.20307 .67873 1.13841 Metetra .764 .615 .693 r .67873 1.13841 .72058 1.20307 .75095 1.0573 .70905 .98101 Metetra .546 .266 .441 r .25829 1.22573 .29867 1.15713 .32432 1.19813 .28395 1.25728 Metetra .579 .288 .438 r .28395 1.25728 .32432 1.19813 .35055 1.24425 .31013 1.29373 Metetra .602 .296 .424 r .31013 1.29373 .35055 1.24425 .37744 1.29259 .33692 1.3321 Metetra .616 .29 .395 r .33692 1.3321 .37744 1.29259 .40504 1.34005 .36439 1.36926 Metetra .619 .26 .34 r .36439 1.36926 .40504 1.34005 .43339 1.38335 .39257 1.40187 Metetra .595 .179 .223 r .39257 1.40187 .43339 1.38335 .46247 1.41899 .42147 1.42642 Metetra .465 0 0 r .42147 1.42642 .46247 1.41899 .49226 1.44326 .45106 1.43923 Metetra .173 .696 .875 r .45106 1.43923 .49226 1.44326 .52268 1.45237 .48127 1.43651 Metetra .634 .775 .948 r .48127 1.43651 .52268 1.45237 .55362 1.44241 .51201 1.41445 Metetra .71 .694 .833 r .51201 1.41445 .55362 1.44241 .58491 1.40954 .54312 1.36932 Metetra .732 .65 .768 r .54312 1.36932 .58491 1.40954 .61636 1.35009 .57441 1.29756 Metetra .743 .626 .729 r .57441 1.29756 .61636 1.35009 .64773 1.26068 .60566 1.19597 Metetra .75 .611 .704 r .60566 1.19597 .64773 1.26068 .67873 1.13841 .63659 1.06185 Metetra .756 .603 .687 r .63659 1.06185 .67873 1.13841 .70905 .98101 .66692 .89315 Metetra .507 .204 .387 r .21716 1.28519 .25829 1.22573 .28395 1.25728 .24287 1.30684 Metetra .547 .229 .38 r .24287 1.30684 .28395 1.25728 .31013 1.29373 .26904 1.33316 Metetra .574 .234 .356 r .26904 1.33316 .31013 1.29373 .33692 1.3321 .29578 1.36115 Metetra .586 .214 .304 r .29578 1.36115 .33692 1.3321 .36439 1.36926 .32315 1.3876 Metetra .572 .146 .193 r .32315 1.3876 .36439 1.36926 .39257 1.40187 .35121 1.40915 Metetra .473 0 0 r .35121 1.40915 .39257 1.40187 .42147 1.42642 .37997 1.42229 Metetra .011 .582 .768 r .37997 1.42229 .42147 1.42642 .45106 1.43923 .4094 1.42335 Metetra .551 .769 .979 r .4094 1.42335 .45106 1.43923 .48127 1.43651 .43945 1.40861 Metetra .671 .696 .864 r .43945 1.40861 .48127 1.43651 .51201 1.41445 .47004 1.37433 Metetra .706 .649 .79 r .47004 1.37433 .51201 1.41445 .54312 1.36932 .50101 1.31689 Metetra .723 .622 .745 r .50101 1.31689 .54312 1.36932 .57441 1.29756 .5322 1.23289 Metetra .734 .607 .716 r .5322 1.23289 .57441 1.29756 .60566 1.19597 .56338 1.11929 Metetra .742 .598 .696 r .56338 1.11929 .60566 1.19597 .63659 1.06185 .5943 .97361 Metetra .749 .592 .682 r .5943 .97361 .63659 1.06185 .66692 .89315 .62467 .79399 Metetra .436 .098 .292 r .17538 1.33504 .21716 1.28519 .24287 1.30684 .20117 1.34635 Metetra .488 .126 .277 r .20117 1.34635 .24287 1.30684 .26904 1.33316 .22738 1.36215 Metetra .515 .119 .228 r .22738 1.36215 .26904 1.33316 .29578 1.36115 .25411 1.37936 Metetra .509 .057 .113 r .25411 1.37936 .29578 1.36115 .32315 1.3876 .28144 1.39475 Metetra .414 0 0 r .28144 1.39475 .32315 1.3876 .35121 1.40915 .30942 1.40493 Metetra 0 .567 .755 r .30942 1.40493 .35121 1.40915 .37997 1.42229 .33808 1.40638 Metetra .487 .756 .99 r .33808 1.40638 .37997 1.42229 .4094 1.42335 .3674 1.39549 Metetra .633 .694 .889 r .3674 1.39549 .4094 1.42335 .43945 1.40861 .39734 1.36859 Metetra .68 .646 .81 r .39734 1.36859 .43945 1.40861 .47004 1.37433 .42782 1.32203 Metetra .702 .618 .76 r .42782 1.32203 .47004 1.37433 .50101 1.31689 .45871 1.25231 Metetra .716 .602 .728 r .45871 1.25231 .50101 1.31689 .5322 1.23289 .48984 1.1562 Metetra .727 .593 .706 r .48984 1.1562 .5322 1.23289 .56338 1.11929 .521 1.03084 Metetra .736 .587 .689 r .521 1.03084 .56338 1.11929 .5943 .97361 .55196 .87393 Metetra .743 .584 .677 r .55196 .87393 .5943 .97361 .62467 .79399 .58244 .68385 Metetra .284 0 .098 r .13303 1.37483 .17538 1.33504 .20117 1.34635 .15897 1.37542 Metetra .347 0 .057 r .15897 1.37542 .20117 1.34635 .22738 1.36215 .18526 1.38034 Metetra .351 0 0 r .18526 1.38034 .22738 1.36215 .25411 1.37936 .21203 1.38643 Metetra .24 0 0 r .21203 1.38643 .25411 1.37936 .28144 1.39475 .23936 1.39045 Metetra .121 .661 .846 r .23936 1.39045 .28144 1.39475 .30942 1.40493 .26731 1.38899 Metetra .478 .753 .99 r .26731 1.38899 .30942 1.40493 .33808 1.40638 .29591 1.37855 Metetra .607 .692 .903 r .29591 1.37855 .33808 1.40638 .3674 1.39549 .32517 1.35556 Metetra .656 .643 .825 r .32517 1.35556 .3674 1.39549 .39734 1.36859 .35506 1.31642 Metetra .681 .614 .774 r .35506 1.31642 .39734 1.36859 .42782 1.32203 .38548 1.25759 Metetra .698 .597 .739 r .38548 1.25759 .42782 1.32203 .45871 1.25231 .41633 1.17571 Metetra .711 .587 .715 r .41633 1.17571 .45871 1.25231 .48984 1.1562 .44746 1.06769 Metetra .721 .581 .697 r .44746 1.06769 .48984 1.1562 .521 1.03084 .47866 .93087 Metetra .73 .578 .684 r .47866 .93087 .521 1.03084 .55196 .87393 .50971 .76316 Metetra .738 .576 .673 r .50971 .76316 .55196 .87393 .58244 .68385 .54035 .56313 Metetra .09022 1.40416 .13303 1.37483 .15897 1.37542 .11635 1.39369 Metetra .11635 1.39369 .15897 1.37542 .18526 1.38034 .14278 1.3874 Metetra .155 .694 .727 r .14278 1.3874 .18526 1.38034 .21203 1.38643 .16963 1.38209 Metetra .369 .8 .967 r .16963 1.38209 .21203 1.38643 .23936 1.39045 .19701 1.37449 Metetra .53 .764 .983 r .19701 1.37449 .23936 1.39045 .26731 1.38899 .22498 1.36119 Metetra .603 .691 .904 r .22498 1.36119 .26731 1.38899 .29591 1.37855 .25359 1.33872 Metetra .64 .64 .834 r .25359 1.33872 .29591 1.37855 .32517 1.35556 .28285 1.30355 Metetra .663 .609 .784 r .28285 1.30355 .32517 1.35556 .35506 1.31642 .31272 1.25216 Metetra .681 .592 .749 r .31272 1.25216 .35506 1.31642 .38548 1.25759 .34314 1.18115 Metetra .695 .581 .724 r .34314 1.18115 .38548 1.25759 .41633 1.17571 .37401 1.08727 Metetra .707 .575 .705 r .37401 1.08727 .41633 1.17571 .44746 1.06769 .40519 .96762 Metetra .717 .572 .69 r .40519 .96762 .44746 1.06769 .47866 .93087 .43648 .81973 Metetra .726 .57 .679 r .43648 .81973 .47866 .93087 .50971 .76316 .46767 .64168 Metetra .734 .569 .669 r .46767 .64168 .50971 .76316 .54035 .56313 .49851 .43228 Metetra .652 .97 .872 r .04704 1.42265 .09022 1.40416 .11635 1.39369 .07342 1.40084 Metetra .611 .935 .958 r .07342 1.40084 .11635 1.39369 .14278 1.3874 .10004 1.38307 Metetra .605 .864 .992 r .10004 1.38307 .14278 1.3874 .16963 1.38209 .12704 1.36614 Metetra .612 .771 .956 r .12704 1.36614 .16963 1.38209 .19701 1.37449 .15453 1.34672 Metetra .624 .693 .893 r .15453 1.34672 .19701 1.37449 .22498 1.36119 .18257 1.32144 Metetra .638 .64 .835 r .18257 1.32144 .22498 1.36119 .25359 1.33872 .21124 1.28686 Metetra .653 .607 .79 r .21124 1.28686 .25359 1.33872 .28285 1.30355 .24053 1.2395 Metetra .667 .587 .756 r .24053 1.2395 .28285 1.30355 .31272 1.25216 .27045 1.17595 Metetra .68 .575 .731 r .27045 1.17595 .31272 1.25216 .34314 1.18115 .30093 1.0929 Metetra .692 .569 .711 r .30093 1.0929 .34314 1.18115 .37401 1.08727 .33187 .98728 Metetra .703 .565 .696 r .33187 .98728 .37401 1.08727 .40519 .96762 .36314 .85634 Metetra .713 .563 .684 r .36314 .85634 .40519 .96762 .43648 .81973 .39457 .6978 Metetra .722 .563 .674 r .39457 .6978 .43648 .81973 .46767 .64168 .42595 .50995 Metetra .73 .563 .666 r .42595 .50995 .46767 .64168 .49851 .43228 .45704 .29178 Metetra .796 .906 .917 r .00361 1.43001 .04704 1.42265 .07342 1.40084 .0303 1.3966 Metetra .735 .842 .93 r .0303 1.3966 .07342 1.40084 .10004 1.38307 .05717 1.36716 Metetra .687 .764 .91 r .05717 1.36716 .10004 1.38307 .12704 1.36614 .08437 1.33842 Metetra .66 .694 .87 r .08437 1.33842 .12704 1.36614 .15453 1.34672 .11202 1.30707 Metetra .65 .641 .828 r .11202 1.30707 .15453 1.34672 .18257 1.32144 .14019 1.26974 Metetra .651 .606 .791 r .14019 1.26974 .18257 1.32144 .21124 1.28686 .16897 1.22303 Metetra .658 .584 .76 r .16897 1.22303 .21124 1.28686 .24053 1.2395 .19836 1.16354 Metetra .668 .571 .736 r .19836 1.16354 .24053 1.2395 .27045 1.17595 .22838 1.08796 Metetra .679 .563 .717 r .22838 1.08796 .27045 1.17595 .30093 1.0929 .25896 .99311 Metetra .69 .559 .702 r .25896 .99311 .30093 1.0929 .33187 .98728 .29002 .87606 Metetra .7 .557 .689 r .29002 .87606 .33187 .98728 .36314 .85634 .32145 .73424 Metetra .709 .557 .679 r .32145 .73424 .36314 .85634 .39457 .6978 .35306 .56556 Metetra .718 .557 .67 r .35306 .56556 .39457 .6978 .42595 .50995 .38468 .36848 Metetra .726 .558 .663 r .38468 .36848 .42595 .50995 .45704 .29178 .41606 .14218 Metetra 0 g .25 Mabswid .41705 0 m .94747 .20615 L s .94747 .20615 m 1 1.48638 L s 1 1.48638 m .40753 1.377 L s .40753 1.377 m .41705 0 L s .04953 .27252 m 0 1.52114 L s 0 1.52114 m .40753 1.377 L s .40753 1.377 m .41705 0 L s .41705 0 m .04953 .27252 L s .04953 .27252 m .41705 0 L s .10539 .2311 m .11531 .23446 L s [(0)] .08555 .22438 1 .33883 Mshowa .22323 .14372 m .2331 .14724 L s [(1)] .2035 .13667 1 .35715 Mshowa .35 .04972 m .35979 .05342 L s [(2)] .3304 .04232 1 .37755 Mshowa .125 Mabswid .12829 .21412 m .13424 .21615 L s .15152 .19689 m .15746 .19895 L s .17508 .17942 m .18101 .1815 L s .19898 .1617 m .20491 .16379 L s .24784 .12547 m .25375 .1276 L s .27281 .10695 m .27871 .10911 L s .29816 .08816 m .30405 .09034 L s .32388 .06908 m .32977 .07128 L s .08281 .24784 m .08877 .24984 L s .06055 .26435 m .06651 .26633 L s .37651 .03006 m .38238 .0323 L s .40343 .0101 m .40929 .01236 L s .25 Mabswid .94747 .20615 m 1 1.48638 L s .95221 .32172 m .94239 .31808 L s [(-20)] .97186 .329 -1 -0.37038 Mshowa .96215 .56382 m .95221 .56052 L s [(-15)] .98203 .57042 -1 -0.332 Mshowa .97252 .81661 m .96246 .81368 L s [(-10)] .99263 .82248 -1 -0.2918 Mshowa .98336 1.08082 m .9732 1.07828 L s [(-5)] 1.00368 1.08589 -1 -0.24964 Mshowa .9947 1.35722 m .98444 1.35511 L s [(0)] 1.01522 1.36143 -1 -0.20537 Mshowa .125 Mabswid .95417 .36932 m .94826 .36717 L s .95614 .41732 m .95021 .41522 L s .95812 .46574 m .95219 .46367 L s .96013 .51457 m .95418 .51255 L s .96419 .6135 m .95821 .61157 L s .96624 .66362 m .96025 .66172 L s .96832 .71417 m .96231 .71232 L s .97041 .76517 m .96439 .76336 L s .97465 .86852 m .9686 .8668 L s .9768 .92088 m .97074 .91921 L s .97897 .97372 m .97289 .9721 L s .98115 1.02703 m .97507 1.02545 L s .98559 1.13509 m .97948 1.13362 L s .98783 1.18987 m .98171 1.18844 L s .9901 1.24514 m .98397 1.24377 L s .99239 1.30092 m .98625 1.2996 L s .95028 .27452 m .9444 .2723 L s .94836 .22772 m .94249 .22546 L s .99703 1.41404 m .99086 1.41283 L s .99938 1.47139 m .99321 1.47023 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{199.75, 321.062}, ImageMargins->{{34, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, 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