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Packages » VectorGraphics :: plot2d
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plot2d -- Draws a curve or surface

Description

Draws a curve or surface defined implicitly or explicitly by a polynomial. The first argument is a polynomial or set of polynomials, the second is a list of two coordinates specifying the range(s) of variable(s). In plot2d (resp. plot3d), if the number of variables of the ring of the polynomials is 1 (resp. 2), the graph of the polynomial is drawn; otherwise, the zero set of the polynomial is drawn. The option Mesh specifies the number of sampled values of the variables.

i1 : R=RR[x,y];
 
i2 : P=y^2-(x+1)*(x-1)*(x-2);
 
i3 : plot2d(P,{-2,3},"stroke-width"=>0.05,"stroke"=>"red",Axes=>true)

o3 = GraphicsList{Axes => true                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          }
                  cache => CacheTable{}
                  Contents => {Path{cache => CacheTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       }, Path{cache => CacheTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       }, Path{cache => CacheTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        }, Path{cache => CacheTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       }, Path{cache => CacheTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           }, Line{cache => CacheTable{}                    }}
                                    PointList => {M, GraphicsCoordinate |      -1      |, L, GraphicsCoordinate |   -.95   |, L, GraphicsCoordinate |    -.9   |, L, GraphicsCoordinate |   -.85   |, L, GraphicsCoordinate |    -.8   |, L, GraphicsCoordinate |   -.75   |, L, GraphicsCoordinate |    -.7   |, L, GraphicsCoordinate |   -.65   |, L, GraphicsCoordinate |    -.6   |, L, GraphicsCoordinate |   -.55   |, L, GraphicsCoordinate |    -.5   |, L, GraphicsCoordinate |   -.45   |, L, GraphicsCoordinate |    -.4   |, L, GraphicsCoordinate |   -.35   |, L, GraphicsCoordinate |    -.3   |, L, GraphicsCoordinate |   -.25   |, L, GraphicsCoordinate |    -.2   |, L, GraphicsCoordinate |   -.15  |, L, GraphicsCoordinate |    -.1   |, L, GraphicsCoordinate |   -.05   |, L, GraphicsCoordinate |     0    |, L, GraphicsCoordinate |    .05   |, L, GraphicsCoordinate |    .1   |, L, GraphicsCoordinate |    .15   |, L, GraphicsCoordinate |    .2    |, L, GraphicsCoordinate |    .25   |, L, GraphicsCoordinate |    .3    |, L, GraphicsCoordinate |    .35   |, L, GraphicsCoordinate |    .4    |, L, GraphicsCoordinate |    .45   |, L, GraphicsCoordinate |    .5    |, L, GraphicsCoordinate |    .55   |, L, GraphicsCoordinate |    .6    |, L, GraphicsCoordinate |    .65   |, L, GraphicsCoordinate |    .7    |, L, GraphicsCoordinate |   .75   |, L, GraphicsCoordinate |    .8    |, L, GraphicsCoordinate |    .85   |, L, GraphicsCoordinate |    .9    |, L, GraphicsCoordinate |    .95   |, L, GraphicsCoordinate |      1      |, M, GraphicsCoordinate |       2      |, L, GraphicsCoordinate |   2.05   |, L, GraphicsCoordinate |    2.1   |, L, GraphicsCoordinate |   2.15  |, L, GraphicsCoordinate |    2.2   |, L, GraphicsCoordinate |   2.25   |, L, GraphicsCoordinate |    2.3   |, L, GraphicsCoordinate |   2.35   |, L, GraphicsCoordinate |    2.4   |, L, GraphicsCoordinate |   2.45   |, L, GraphicsCoordinate |    2.5   |, L, GraphicsCoordinate |   2.55   |, L, GraphicsCoordinate |    2.6   |, L, GraphicsCoordinate |   2.65   |, L, GraphicsCoordinate |    2.7   |, L, GraphicsCoordinate |   2.75   |, L, GraphicsCoordinate |    2.8   |, L, GraphicsCoordinate |   2.85   |, L, GraphicsCoordinate |    2.9   |, L, GraphicsCoordinate |   2.95   |, L, GraphicsCoordinate |     3    |}        PointList => {M, GraphicsCoordinate |     -1     |, L, GraphicsCoordinate |   -.95  |, L, GraphicsCoordinate |   -.9   |, L, GraphicsCoordinate |   -.85  |, L, GraphicsCoordinate |   -.8   |, L, GraphicsCoordinate |   -.75  |, L, GraphicsCoordinate |   -.7   |, L, GraphicsCoordinate |   -.65  |, L, GraphicsCoordinate |   -.6   |, L, GraphicsCoordinate |   -.55  |, L, GraphicsCoordinate |   -.5   |, L, GraphicsCoordinate |   -.45  |, L, GraphicsCoordinate |   -.4   |, L, GraphicsCoordinate |   -.35  |, L, GraphicsCoordinate |   -.3   |, L, GraphicsCoordinate |   -.25  |, L, GraphicsCoordinate |   -.2   |, L, GraphicsCoordinate |  -.15  |, L, GraphicsCoordinate |   -.1   |, L, GraphicsCoordinate |   -.05  |, L, GraphicsCoordinate |    0    |, L, GraphicsCoordinate |   .05   |, L, GraphicsCoordinate |   .1   |, L, GraphicsCoordinate |   .15   |, L, GraphicsCoordinate |    .2   |, L, GraphicsCoordinate |   .25   |, L, GraphicsCoordinate |    .3   |, L, GraphicsCoordinate |   .35   |, L, GraphicsCoordinate |    .4   |, L, GraphicsCoordinate |   .45   |, L, GraphicsCoordinate |    .5   |, L, GraphicsCoordinate |   .55   |, L, GraphicsCoordinate |    .6   |, L, GraphicsCoordinate |   .65   |, L, GraphicsCoordinate |    .7   |, L, GraphicsCoordinate |   .75  |, L, GraphicsCoordinate |    .8   |, L, GraphicsCoordinate |   .85   |, L, GraphicsCoordinate |    .9   |, L, GraphicsCoordinate |   .95   |, L, GraphicsCoordinate |      1      |, M, GraphicsCoordinate |     2     |, L, GraphicsCoordinate |   2.05  |, L, GraphicsCoordinate |   2.1   |, L, GraphicsCoordinate |  2.15  |, L, GraphicsCoordinate |   2.2   |, L, GraphicsCoordinate |   2.25  |, L, GraphicsCoordinate |   2.3   |, L, GraphicsCoordinate |   2.35  |, L, GraphicsCoordinate |   2.4   |, L, GraphicsCoordinate |   2.45  |, L, GraphicsCoordinate |   2.5   |, L, GraphicsCoordinate |   2.55  |, L, GraphicsCoordinate |   2.6   |, L, GraphicsCoordinate |   2.65  |, L, GraphicsCoordinate |   2.7   |, L, GraphicsCoordinate |   2.75  |, L, GraphicsCoordinate |   2.8   |, L, GraphicsCoordinate |   2.85  |, L, GraphicsCoordinate |   2.9   |, L, GraphicsCoordinate |   2.95  |, L, GraphicsCoordinate |    3    |}        PointList => {M, GraphicsCoordinate | -.414214 |, L, GraphicsCoordinate | -.517552 |, L, GraphicsCoordinate | -.588173 |, L, GraphicsCoordinate | -.643517 |, L, GraphicsCoordinate | -.689401 |, L, GraphicsCoordinate | -.728629 |, L, GraphicsCoordinate | -.762807 |, L, GraphicsCoordinate | -.792957 |, L, GraphicsCoordinate | -.819775 |, L, GraphicsCoordinate |  -.84376 |, L, GraphicsCoordinate | -.865284 |, L, GraphicsCoordinate | -.884631 |, L, GraphicsCoordinate | -.902024 |, L, GraphicsCoordinate | -.917641 |, L, GraphicsCoordinate | -.931624 |, L, GraphicsCoordinate | -.944091 |, L, GraphicsCoordinate | -.955138 |, L, GraphicsCoordinate | -.964844 |, L, GraphicsCoordinate | -.973275 |, L, GraphicsCoordinate | -.980484 |, L, GraphicsCoordinate | -.986516 |, L, GraphicsCoordinate | -.991405 |, L, GraphicsCoordinate | -.995181 |, L, GraphicsCoordinate | -.997863 |, L, GraphicsCoordinate |  -.999466 |, L, GraphicsCoordinate |      -1      |, L, GraphicsCoordinate | -.999466 |, L, GraphicsCoordinate | -.997863 |, L, GraphicsCoordinate | -.995181 |, L, GraphicsCoordinate | -.991405 |, L, GraphicsCoordinate | -.986516 |, L, GraphicsCoordinate | -.980484 |, L, GraphicsCoordinate | -.973275 |, L, GraphicsCoordinate | -.964844 |, L, GraphicsCoordinate | -.955138 |, L, GraphicsCoordinate | -.944091 |, L, GraphicsCoordinate | -.931624 |, L, GraphicsCoordinate | -.917641 |, L, GraphicsCoordinate | -.902024 |, L, GraphicsCoordinate | -.884631 |, L, GraphicsCoordinate | -.865284 |, L, GraphicsCoordinate | -.84376 |, L, GraphicsCoordinate | -.819775 |, L, GraphicsCoordinate | -.792957 |, L, GraphicsCoordinate | -.762807 |, L, GraphicsCoordinate | -.728629 |, L, GraphicsCoordinate | -.689401 |, L, GraphicsCoordinate | -.643517 |, L, GraphicsCoordinate | -.588173 |, L, GraphicsCoordinate | -.517552 |, L, GraphicsCoordinate | -.414214 |}        PointList => {M, GraphicsCoordinate | -1.55431e-14 |, L, GraphicsCoordinate |  .126719 |, L, GraphicsCoordinate |  .220604 |, L, GraphicsCoordinate |  .299067 |, L, GraphicsCoordinate |  .367897 |, L, GraphicsCoordinate |  .429865 |, L, GraphicsCoordinate | .486536 |, L, GraphicsCoordinate |  .53889  |, L, GraphicsCoordinate |  .587572 |, L, GraphicsCoordinate |  .633025 |, L, GraphicsCoordinate |  .675556 |, L, GraphicsCoordinate | .715377 |, L, GraphicsCoordinate |  .752628 |, L, GraphicsCoordinate |  .787395 |, L, GraphicsCoordinate |  .819721 |, L, GraphicsCoordinate |  .849608 |, L, GraphicsCoordinate |  .877031 |, L, GraphicsCoordinate |  .901937 |, L, GraphicsCoordinate | .924252 |, L, GraphicsCoordinate |  .943886 |, L, GraphicsCoordinate |  .96074  |, L, GraphicsCoordinate |  .974712 |, L, GraphicsCoordinate |  .985701 |, L, GraphicsCoordinate |  .99362  |, L, GraphicsCoordinate |  .998401  |, L, GraphicsCoordinate |       1      |, L, GraphicsCoordinate |  .998401 |, L, GraphicsCoordinate |  .99362 |, L, GraphicsCoordinate | .985701 |, L, GraphicsCoordinate | .974712 |, L, GraphicsCoordinate |  .96074 |, L, GraphicsCoordinate | .943886 |, L, GraphicsCoordinate | .924252 |, L, GraphicsCoordinate | .901937 |, L, GraphicsCoordinate | .877031 |, L, GraphicsCoordinate | .849608 |, L, GraphicsCoordinate | .819721 |, L, GraphicsCoordinate | .787395 |, L, GraphicsCoordinate | .752628 |, L, GraphicsCoordinate | .715377 |, L, GraphicsCoordinate | .675556 |, L, GraphicsCoordinate | .633025 |, L, GraphicsCoordinate | .587572 |, L, GraphicsCoordinate |  .53889 |, L, GraphicsCoordinate | .486536 |, L, GraphicsCoordinate | .429865 |, L, GraphicsCoordinate | .367897 |, L, GraphicsCoordinate | .299067 |, L, GraphicsCoordinate | .220604 |, L, GraphicsCoordinate | .126719 |, L, GraphicsCoordinate | -9.94027e-15 |}        PointList => {M, GraphicsCoordinate |     3    |, L, GraphicsCoordinate |  2.97711 |, L, GraphicsCoordinate |  2.95416 |, L, GraphicsCoordinate |  2.93114 |, L, GraphicsCoordinate |  2.90806 |, L, GraphicsCoordinate |  2.88492 |, L, GraphicsCoordinate |  2.86171 |, L, GraphicsCoordinate |  2.83845 |, L, GraphicsCoordinate |  2.81514 |, L, GraphicsCoordinate |  2.79176 |, L, GraphicsCoordinate |  2.76834 |, L, GraphicsCoordinate |  2.74487 |, L, GraphicsCoordinate | 2.72135 |, L, GraphicsCoordinate |  2.69779 |, L, GraphicsCoordinate |  2.6742  |, L, GraphicsCoordinate | 2.65057 |, L, GraphicsCoordinate |  2.62691 |, L, GraphicsCoordinate |  2.60324 |, L, GraphicsCoordinate |  2.57955 |, L, GraphicsCoordinate |  2.55585 |, L, GraphicsCoordinate |  2.53216 |, L, GraphicsCoordinate |  2.50849 |, L, GraphicsCoordinate |  2.48484 |, L, GraphicsCoordinate |  2.46124 |, L, GraphicsCoordinate |  2.43769 |, L, GraphicsCoordinate |  2.41421 |, L, GraphicsCoordinate |  2.39083 |, L, GraphicsCoordinate |  2.36757 |, L, GraphicsCoordinate |  2.34445 |, L, GraphicsCoordinate |  2.3215  |, L, GraphicsCoordinate |  2.29876 |, L, GraphicsCoordinate | 2.27627 |, L, GraphicsCoordinate |  2.25407 |, L, GraphicsCoordinate |  2.2322  |, L, GraphicsCoordinate |  2.21073 |, L, GraphicsCoordinate |  2.18973 |, L, GraphicsCoordinate | 2.16925 |, L, GraphicsCoordinate |  2.1494  |, L, GraphicsCoordinate |  2.13025 |, L, GraphicsCoordinate |  2.1119  |, L, GraphicsCoordinate |  2.09448 |, L, GraphicsCoordinate |  2.07811 |, L, GraphicsCoordinate |  2.06291 |, L, GraphicsCoordinate | 2.04902 |, L, GraphicsCoordinate |  2.0366  |, L, GraphicsCoordinate |  2.02578 |, L, GraphicsCoordinate |  2.01669 |, L, GraphicsCoordinate |  2.00948 |, L, GraphicsCoordinate |  2.00424 |, L, GraphicsCoordinate |  2.00107  |, L, GraphicsCoordinate |       2      |, L, GraphicsCoordinate |  2.00107 |, L, GraphicsCoordinate | 2.00424 |, L, GraphicsCoordinate | 2.00948 |, L, GraphicsCoordinate | 2.01669 |, L, GraphicsCoordinate | 2.02578 |, L, GraphicsCoordinate |  2.0366 |, L, GraphicsCoordinate | 2.04902 |, L, GraphicsCoordinate | 2.06291 |, L, GraphicsCoordinate | 2.07811 |, L, GraphicsCoordinate | 2.09448 |, L, GraphicsCoordinate |  2.1119 |, L, GraphicsCoordinate | 2.13025 |, L, GraphicsCoordinate |  2.1494 |, L, GraphicsCoordinate | 2.16925 |, L, GraphicsCoordinate | 2.18973 |, L, GraphicsCoordinate | 2.21073 |, L, GraphicsCoordinate |  2.2322 |, L, GraphicsCoordinate | 2.25407 |, L, GraphicsCoordinate | 2.27627 |, L, GraphicsCoordinate | 2.29876 |, L, GraphicsCoordinate |  2.3215 |, L, GraphicsCoordinate | 2.34445 |, L, GraphicsCoordinate | 2.36757 |, L, GraphicsCoordinate | 2.39083 |, L, GraphicsCoordinate | 2.41421 |, L, GraphicsCoordinate | 2.43769 |, L, GraphicsCoordinate | 2.46124 |, L, GraphicsCoordinate | 2.48484 |, L, GraphicsCoordinate | 2.50849 |, L, GraphicsCoordinate | 2.53216 |, L, GraphicsCoordinate | 2.55585 |, L, GraphicsCoordinate | 2.57955 |, L, GraphicsCoordinate | 2.60324 |, L, GraphicsCoordinate | 2.62691 |, L, GraphicsCoordinate | 2.65057 |, L, GraphicsCoordinate |  2.6742 |, L, GraphicsCoordinate | 2.69779 |, L, GraphicsCoordinate | 2.72135 |, L, GraphicsCoordinate | 2.74487 |, L, GraphicsCoordinate | 2.76834 |, L, GraphicsCoordinate | 2.79176 |, L, GraphicsCoordinate | 2.81514 |, L, GraphicsCoordinate | 2.83845 |, L, GraphicsCoordinate | 2.86171 |, L, GraphicsCoordinate | 2.88492 |, L, GraphicsCoordinate | 2.90806 |, L, GraphicsCoordinate | 2.93114 |, L, GraphicsCoordinate | 2.95416 |, L, GraphicsCoordinate | 2.97711 |, L, GraphicsCoordinate |    3    |}        Point1 => GraphicsCoordinate |    -2    |
                                                                        | -3.41471e-13 |                        | -.536307 |                        | -.742294 |                        | -.889312 |                        | -1.00399 |                        | -1.09687 |                        | -1.17346 |                        | -1.23708 |                        | -1.28996 |                        | -1.33365 |                        | -1.36931 |                        | -1.39781 |                        | -1.41986 |                        | -1.43601 |                        | -1.44672 |                        | -1.45237 |                        | -1.45327 |                        | -1.4497 |                        | -1.44187 |                        | -1.42999 |                        | -1.41421 |                        | -1.39468 |                        | -1.3715 |                        | -1.34476 |                        | -1.31453 |                        | -1.28087 |                        | -1.24378 |                        | -1.20328 |                        | -1.15931 |                        | -1.11181 |                        | -1.06066 |                        | -1.00567 |                        | -.946573 |                        | -.882964 |                        | -.814248 |                        | -.73951 |                        | -.657267 |                        | -.564911 |                        | -.457165 |                        | -.319961 |                        | -3.6152e-13 |                        | -5.45755e-13 |                        | -.400156 |                        | -.583952 |                        | -.73714 |                        | -.876356 |                        | -1.00778 |                        | -1.13446 |                        | -1.25812 |                        | -1.37986 |                        | -1.50037 |                        | -1.62019 |                        | -1.73965 |                        | -1.85903 |                        | -1.97854 |                        | -2.09833 |                        | -2.21853 |                        | -2.33923 |                        | -2.46051 |                        | -2.58244 |                        | -2.70506 |                        | -2.82843 |                                             | 2.9471e-13 |                        | .536307 |                        | .742294 |                        | .889312 |                        | 1.00399 |                        | 1.09687 |                        | 1.17346 |                        | 1.23708 |                        | 1.28996 |                        | 1.33365 |                        | 1.36931 |                        | 1.39781 |                        | 1.41986 |                        | 1.43601 |                        | 1.44672 |                        | 1.45237 |                        | 1.45327 |                        | 1.4497 |                        | 1.44187 |                        | 1.42999 |                        | 1.41421 |                        | 1.39468 |                        | 1.3715 |                        | 1.34476 |                        | 1.31453 |                        | 1.28087 |                        | 1.24378 |                        | 1.20328 |                        | 1.15931 |                        | 1.11181 |                        | 1.06066 |                        | 1.00567 |                        | .946573 |                        | .882964 |                        | .814248 |                        | .73951 |                        | .657267 |                        | .564911 |                        | .457165 |                        | .319961 |                        | 3.15593e-13 |                        | 5.204e-13 |                        | .400156 |                        | .583952 |                        | .73714 |                        | .876356 |                        | 1.00778 |                        | 1.13446 |                        | 1.25812 |                        | 1.37986 |                        | 1.50037 |                        | 1.62019 |                        | 1.73965 |                        | 1.85903 |                        | 1.97854 |                        | 2.09833 |                        | 2.21853 |                        | 2.33923 |                        | 2.46051 |                        | 2.58244 |                        | 2.70506 |                        | 2.82843 |                                             | -1.41421 |                        | -1.35765 |                        | -1.30108 |                        | -1.24451 |                        | -1.18794 |                        | -1.13137 |                        |  -1.0748 |                        | -1.01823 |                        | -.961665 |                        | -.905097 |                        | -.848528 |                        |  -.79196 |                        | -.735391 |                        | -.678823 |                        | -.622254 |                        | -.565685 |                        | -.509117 |                        | -.452548 |                        |  -.39598 |                        | -.339411 |                        | -.282843 |                        | -.226274 |                        | -.169706 |                        | -.113137 |                        | -.0565685 |                        | -4.44089e-15 |                        | .0565685 |                        |  .113137 |                        |  .169706 |                        |  .226274 |                        |  .282843 |                        |  .339411 |                        |  .39598  |                        |  .452548 |                        |  .509117 |                        |  .565685 |                        |  .622254 |                        |  .678823 |                        |  .735391 |                        |  .79196  |                        |  .848528 |                        | .905097 |                        |  .961665 |                        |  1.01823 |                        |  1.0748  |                        |  1.13137 |                        |  1.18794 |                        |  1.24451 |                        |  1.30108 |                        |  1.35765 |                        |  1.41421 |                                             |   -1.41421   |                        | -1.35765 |                        | -1.30108 |                        | -1.24451 |                        | -1.18794 |                        | -1.13137 |                        | -1.0748 |                        | -1.01823 |                        | -.961665 |                        | -.905097 |                        | -.848528 |                        | -.79196 |                        | -.735391 |                        | -.678823 |                        | -.622254 |                        | -.565685 |                        | -.509117 |                        | -.452548 |                        | -.39598 |                        | -.339411 |                        | -.282843 |                        | -.226274 |                        | -.169706 |                        | -.113137 |                        | -.0565685 |                        | -4.44089e-15 |                        | .0565685 |                        | .113137 |                        | .169706 |                        | .226274 |                        | .282843 |                        | .339411 |                        |  .39598 |                        | .452548 |                        | .509117 |                        | .565685 |                        | .622254 |                        | .678823 |                        | .735391 |                        |  .79196 |                        | .848528 |                        | .905097 |                        | .961665 |                        | 1.01823 |                        |  1.0748 |                        | 1.13137 |                        | 1.18794 |                        | 1.24451 |                        | 1.30108 |                        | 1.35765 |                        |    1.41421   |                                             | -2.82843 |                        | -2.77186 |                        | -2.71529 |                        | -2.65872 |                        | -2.60215 |                        | -2.54558 |                        | -2.48902 |                        | -2.43245 |                        | -2.37588 |                        | -2.31931 |                        | -2.26274 |                        | -2.20617 |                        | -2.1496 |                        | -2.09304 |                        | -2.03647 |                        | -1.9799 |                        | -1.92333 |                        | -1.86676 |                        | -1.81019 |                        | -1.75362 |                        | -1.69706 |                        | -1.64049 |                        | -1.58392 |                        | -1.52735 |                        | -1.47078 |                        | -1.41421 |                        | -1.35765 |                        | -1.30108 |                        | -1.24451 |                        | -1.18794 |                        | -1.13137 |                        | -1.0748 |                        | -1.01823 |                        | -.961665 |                        | -.905097 |                        | -.848528 |                        | -.79196 |                        | -.735391 |                        | -.678823 |                        | -.622254 |                        | -.565685 |                        | -.509117 |                        | -.452548 |                        | -.39598 |                        | -.339411 |                        | -.282843 |                        | -.226274 |                        | -.169706 |                        | -.113137 |                        | -.0565685 |                        | -4.44089e-15 |                        | .0565685 |                        | .113137 |                        | .169706 |                        | .226274 |                        | .282843 |                        | .339411 |                        |  .39598 |                        | .452548 |                        | .509117 |                        | .565685 |                        | .622254 |                        | .678823 |                        | .735391 |                        |  .79196 |                        | .848528 |                        | .905097 |                        | .961665 |                        | 1.01823 |                        |  1.0748 |                        | 1.13137 |                        | 1.18794 |                        | 1.24451 |                        | 1.30108 |                        | 1.35765 |                        | 1.41421 |                        | 1.47078 |                        | 1.52735 |                        | 1.58392 |                        | 1.64049 |                        | 1.69706 |                        | 1.75362 |                        | 1.81019 |                        | 1.86676 |                        | 1.92333 |                        |  1.9799 |                        | 2.03647 |                        | 2.09304 |                        |  2.1496 |                        | 2.20617 |                        | 2.26274 |                        | 2.31931 |                        | 2.37588 |                        | 2.43245 |                        | 2.48902 |                        | 2.54558 |                        | 2.60215 |                        | 2.65872 |                        | 2.71529 |                        | 2.77186 |                        | 2.82843 |                                      | -2.82843 |
                                                                        |       0      |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |      0      |                        |       0      |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                                             |      0     |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0   |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0   |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0   |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |      0      |                        |     0     |                        |    0    |                        |    0    |                        |    0   |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                                             |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0     |                        |       0      |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                                             |       0      |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0     |                        |       0      |                        |     0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |       0      |                                             |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |    0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0    |                        |     0     |                        |       0      |                        |     0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                        |    0    |                                      |     0    |
                                                                        |       1      |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |      1      |                        |       1      |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                                             |      1     |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1   |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1   |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1   |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |      1      |                        |     1     |                        |    1    |                        |    1    |                        |    1   |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                                             |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1     |                        |       1      |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                                             |       1      |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1     |                        |       1      |                        |     1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |       1      |                                             |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |    1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1    |                        |     1     |                        |       1      |                        |     1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                        |    1    |                                      |     1    |
                                    style => MutableHashTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         style => MutableHashTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         style => MutableHashTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          style => MutableHashTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         style => MutableHashTable{}                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             Point2 => GraphicsCoordinate |    3    |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          | 2.82843 |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |    0    |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |    1    |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             style => MutableHashTable{...2...}
                  Size => 40
                  style => MutableHashTable{...3...}

o3 : GraphicsList

For the programmer

The object plot2d is a function closure.