Complex Numbers

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@interact

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def _(a=(1,5,1),b=(-6,-2,1),c=(6,2,-1),d=(-1,-5,-1)):

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    var('a,b,c,d')

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    i=ComplexField(2).0; z1,z2=a+b*i,c+d*i

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    g=Graphics(); z=[z1,z2,z1+z2,z1-z2] 

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    l=['$z_1=a+b*i$','$z_2=c+d*i$',

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       '$z_1+z_2=(a+c)+(b+d)*i$',

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       '$z_1-z_2=(a-c)+(b-d)*i$']

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    for i in range(4):

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        g+=arrow2d((0,0),(z[i].real(),z[i].imag()),

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                   width=1.5,arrowsize=2,legend_label=l[i],

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                   rgbcolor=colormaps.jet(cos(arg(z[i])))[:3],

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                   legend_color=colormaps.jet(cos(arg(z[i])))[:3])

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    g.set_legend_options(

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        bbox_to_anchor=(1.,.1,.1,.7),font_size=15)

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    g.show(figsize=(5,5),gridlines=True)

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