<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklUHNpcEc2ImYqNiNJJHBoaUdGJEYkNiRJKW9wZXJhdG9yR0YkSSZhcnJvd0dGJEYkLCYtSSZQc2lwMUdGJEYmIiIiLUkmUHNpcDJHRiRGJkYuRiRGJEYk">Zio2I0kkcGhpRzYiRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsJi1JJlBzaXAxR0YlNiM5JCIiIi1JJlBzaXAyR0YlRixGLkYlRiVGJQ==</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(A, proc (phi) options operator, arrow; `+`(`*`(2, `*`(d, `*`(R))), `-`(`*`(2, `*`(r, `*`(R, `*`(cos(phi))))))) end proc):" display="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">Qyg+SSJBRzYiZio2I0kkcGhpR0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsJiomSSJkR0YlIiIiSSJSR0YlRi8iIiMqKEkickdGJUYvRjBGLy1JJGNvc0dGJTYjOSRGLyEiI0YlRiVGJSEiIj5JIkJHRiVmKkYnRiVGKUYlLCQqKEYzRi9GMEYvLUkkc2luR0YlRjZGL0Y4RiVGJUYlRjk+SSJDR0YlZipGJ0YlRilGJSwsKiRJImxHRiVGMUYvKiRGLkYxRjkqJEYwRjFGOSokRjNGMUY5KihGLkYvRjNGL0Y0Ri9GMUYlRiVGJUY5</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="diff(A(phi), phi);" display="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">QygtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkiQUc2IjYjSSRwaGlHRilGKyIiIi1GJDYkLUkiQkdGKUYqRitGLC1GJDYkLUkiQ0dGKUYqRitGLA==</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqKEkickc2IiIiIkkiUkdGJUYmLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNJJHBoaUdGJUYmIiIj</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Psip(phi);" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVElUHNpcEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRJyYjOTgxO0YnL0YwUSZmYWxzZUYnL0YzUSdub3JtYWxGJy8lK2V4ZWN1dGFibGVHRj5GP0Y/LUkjbW9HRiQ2LVEiO0YnRj8vJSZmZW5jZUdGPi8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0Y+LyUqc3ltbWV0cmljR0Y+LyUobGFyZ2VvcEdGPi8lLm1vdmFibGVsaW1pdHNHRj4vJSdhY2NlbnRHRj4vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJ0ZBRj8=">QyQtSSVQc2lwRzYiNiNJJHBoaUdGJSIiIg==</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCYqJiwmKipJInJHNiIiIiJJIlJHRidGKC1JJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJzYjSSRwaGlHRidGKCwmKiZJImRHRidGKEYpRigiIiMqKEYmRihGKUYoRipGKCEiIyEiIkY0KipGJkY0RilGNC1JJHNpbkdGLEYvRjRGMUY2ISIlRigsJkYoRihGOCIiJUY3RjcqJiwmKipGM0YoRiZGKEY5RigsJiokRjFGNEYoKihGJkY0RilGNEY5RjRGPSNGN0Y0RjYqKCwsKiRJImxHRidGNEYoKiRGM0Y0RjcqJEYpRjRGNyokRiZGNEY3KihGM0YoRiZGKEYqRihGNEYoRkEjISIkRjQsJioqRjFGKEYmRihGKUYoRjlGKEY9KipGJkY0RilGNEY5RihGKkYoIiIpRihGREYoLCZGKEYoKiZGRkY0RkFGN0Y3RkRGNw==</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(r, 0.3e-1):" display="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">Qyo+SSJyRzYiJCIiJCEiIyEiIj5JImxHRiUkIiInRihGKT5JIlJHRiVGLEYpPkkiZEdGJSQiIihGKEYp</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="evalf(subs(phi = 0, Psip(phi)));" display="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">QyQtSSZldmFsZkclKnByb3RlY3RlZEc2Iy1JJXN1YnNHRiU2JC9JJHBoaUc2IiIiIS1JJVBzaXBHRiw2I0YrIiIi</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCErKioqKioqKlwoISM1</Equation></Text-field>
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<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="plot({phi3(phi), Psip(phi)}, phi = 0 .. `+`(`*`(2, `*`(Pi))))" display="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">LUklcGxvdEc2IjYkPCQtSSVwaGkzR0YkNiNJJHBoaUdGJC1JJVBzaXBHRiRGKS9GKjsiIiEsJEkjUGlHJSpwcm90ZWN0ZWRHIiIj</Equation></Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 5676 characters]</Plot></Text-field>
</Output>
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<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="PsipPhi = evalf(subs(phi = 0, Psip(phi)));" display="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">QyQvSShQc2lwUGhpRzYiLUkmZXZhbGZHJSpwcm90ZWN0ZWRHNiMtSSVzdWJzR0YoNiQvSSRwaGlHRiUiIiEtSSVQc2lwR0YlNiNGLiIiIg==</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">L0koUHNpcFBoaUc2IiQhKyoqKioqKipcKCEjNQ==</Equation></Text-field>
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<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(N, 24):" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEjMjRGJ0Y5LUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGSkZNLyUrZXhlY3V0YWJsZUdGPUY5">QyQ+SSJORzYiIiNDISIi</Equation></Text-field>
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<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="for i from 0 to N do `:=`(pp, `+`(`/`(`*`(2, `*`(Pi, `*`(i))), `*`(N)))); print(`\317\225=`, evalf(`+`(`/`(`*`(180, `*`(pp)), `*`(Pi)))), `\317\2253=`, evalf(phi3(pp)), `\317\2253p=`, evalf(subs(p = pp, Psip(p)))) end do:" display="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">QyQ/KEkiaUc2IiIiISIiIkkiTkdGJUkldHJ1ZUclKnByb3RlY3RlZEdDJD5JI3BwR0YlLCQqKEkjUGlHRipGJ0YkRidGKCEiIiIiIy1JJnByaW50R0YqNihJJyZwaGk7PUdGJS1JJmV2YWxmR0YqNiMsJComRi1GJ0YwRjEiJCE9SSgmcGhpOzM9R0YlLUY4NiMtSSVwaGkzR0YlNiNGLUkpJnBoaTszcD1HRiUtRjg2Iy1JJXN1YnNHRio2JC9JInBHRiVGLS1JJVBzaXBHRiU2I0ZKRjE=</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NihJJyZwaGk7PUc2IiQiIiFGJkkoJnBoaTszPUdGJCQiK09LajU+ISIqSSkmcGhpOzNwPUdGJCQhKyoqKioqKipcKCEjNQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NihJJyZwaGk7PUc2IiQiIzoiIiFJKCZwaGk7Mz1HRiQkIitXYDNSPCEiKkkpJnBoaTszcD1HRiQkIStuY2U7YCEjNQ==</Equation></Text-field>
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