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<Text-field style="Text" layout="Normal">Restes chionois pour les entiers :</Text-field>
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<Text-field style="Text" layout="Normal">Ca marche.</Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">J'\303\251cris maintenant un programme des restes chinois pour les polyn\303\264mes.</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Ce programme rend le polyn\303\264me de plus petit degr\303\251 P congru \303\240</Font></Text-field>
<Text-field style="Text" layout="Normal">B[i]) mod M[i] pour tout i.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="chrempol := proc (B, M) local m, n, a, i, c; n := nops(B); m := product(M[i], i = 1 .. n); for i to n do a[i] := m/M[i]; gcdex(a[i], M[i], x, 's', 't'); c[i] := rem(s*B[i], M[i], x) end do; expand(sum(expand(c[j]*a[j]), j = 1 .. n)) end proc; 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</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D 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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="B := [1, 2, 3, 4]; 1; M := [x, x-3, x+1, x+3]; 1">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Normalement, on devrait obtenir le polyn\303\264me P de degr\303\251 inf\303\251rieur ou \303\251gal \303\240 3</Font></Text-field>
<Text-field style="Text" layout="Normal">tel que P(0)=1, P(3)=2, P(-1)=3 et P(-3)=4.</Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On doit trouver la m\303\252me chose en utilisant la fonction &quot;interp&quot;.</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Mais on peut appliquer la fonction chrempol \303\240 des polyn\303\264mes de degr\303\251 sup\303\251rieur strictement</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">\303\240 1 (pour M). Ce n'est pas le cas pour la fonction &quot;interp&quot; de maple.</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Les M[i] sont deux \303\240 deux premiers entre eux :</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="P := chrempol(B, M); 1">NiQtSSVtcm93RzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YoNiYtSSNtaUdGJTY5USJQRigvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GKC8lJXNpemVHUSMxMkYoLyUlYm9sZEdRJmZhbHNlRigvJSdpdGFsaWNHUSV0cnVlRigvJSp1bmRlcmxpbmVHRjgvJSpzdWJzY3JpcHRHRjgvJSxzdXBlcnNjcmlwdEdGOC8lK2ZvcmVncm91bmRHUShbMCwwLDBdRigvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYoLyUnb3BhcXVlR0Y4LyUrZXhlY3V0YWJsZUdGOy8lKXJlYWRvbmx5R0Y4LyUpY29tcG9zZWRHRjgvJSpjb252ZXJ0ZWRHRjgvJStpbXNlbGVjdGVkR0Y4LyUscGxhY2Vob2xkZXJHRjgvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYoLyUqbWF0aGNvbG9yR0ZELyUvbWF0aGJhY2tncm91bmRHRkcvJStmb250ZmFtaWx5R0YyLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGKC8lKW1hdGhzaXplR0Y1LUkjbW9HRiU2M1EjOj1GKC8lJWZvcm1HUSZpbmZpeEYoLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSdsc3BhY2VHUS90aGlja21hdGhzcGFjZUYoLyUncnNwYWNlR0ZbcC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobWF4c2l6ZUdRKWluZmluaXR5RigvJShtaW5zaXplR1EiMUYoLyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJTBmb250X3N0eWxlX25hbWVHRlgvJSVzaXplR0Y1LyUrZm9yZWdyb3VuZEdGRC8lK2JhY2tncm91bmRHRkctRiQ2JS1GLTY5USljaHJlbXBvbEYoRjBGM0Y2RjlGPEY+RkBGQkZFRkhGSkZMRk5GUEZSRlRGVkZZRmVuRmduRmluRlxvLUZfbzYzUTAmQXBwbHlGdW5jdGlvbjtGKEZib0Zlb0Znby9Gam9RJDBlbUYoL0ZdcEZfckZecEZgcEZicEZlcEZocEZqcEZccUZecUZgcUZicUZkcS1JKG1mZW5jZWRHRiU2Iy1GJDYlLUYtNjlRIkJGKEYwRjNGNkY5RjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbkZpbkZcby1GX282M1EiLEYoRmJvRmVvL0Zob0Y7Rl5yL0ZdcFEzdmVyeXRoaWNrbWF0aHNwYWNlRihGXnBGYHBGYnBGZXBGaHBGanBGXHFGXnFGYHFGYnFGZHEtRi02OVEiTUYoRjBGM0Y2RjlGPEY+RkBGQkZFRkhGSkZMRk5GUEZSRlRGVkZZRmVuRmduRmluRlxvLUZfbzYzUSI7RihGYm9GZW9GXHNGXnJGXHBGXnBGYHBGYnBGZXBGaHBGanBGXHFGXnFGYHFGYnFGZHE3I0MkPkkiUEdGKC1JKWNocmVtcG9sR0YoNiRJIkJHRihJIk1HRigiIiI=</Equation></Text-field>
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</Section>
<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">G\303\251n\303\251rateur de (Z/pZ)*</Font></Text-field></Title>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Ici, on consid\303\250re un nombre premier p impair. Pour trouver un g\303\251n\303\251rateur de</Font></Text-field>
<Text-field style="Text" layout="Normal">(Z/pZ)*, il y a la commande <Font bold="true">primroot</Font>, qui marche en fait pour tout entier n tel que</Text-field>
<Text-field style="Text" layout="Normal">(Z/nZ)* est cyclique.</Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On va quand m\303\252me programmer une telle recherche, \303\240 titre d'exercice.</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="generateur := proc (p, decomp) local r, a, b, c, n, i; r := rand(2 .. p-1); n := nops(decomp); for i to n do b := 1; while b = 1 do a := r(); b := `mod`(a^((p-1)/decomp[i][1]), p) end do; c[i] := `mod`(a^((p-1)/decomp[i][1]^decomp[i][2]), p) end do; `mod`(product(c[j], j = 1 .. n), p) end proc; 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</Input>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D 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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On peut v\303\251rifier l'ordre.</Font></Text-field>
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<Text-field style="Warning" layout="Warning">Warning, the protected name order has been redefined and unprotected</Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiQtSSNtbkc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGKDY5USI2RigvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GKC8lJXNpemVHUSMxMkYoLyUlYm9sZEdRJmZhbHNlRigvJSdpdGFsaWNHRjUvJSp1bmRlcmxpbmVHRjUvJSpzdWJzY3JpcHRHRjUvJSxzdXBlcnNjcmlwdEdGNS8lK2ZvcmVncm91bmRHUSpbMCwwLDI1NV1GKC8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRigvJSdvcGFxdWVHRjUvJStleGVjdXRhYmxlR0Y1LyUpcmVhZG9ubHlHUSV0cnVlRigvJSljb21wb3NlZEdGNS8lKmNvbnZlcnRlZEdGNS8lK2ltc2VsZWN0ZWRHRjUvJSxwbGFjZWhvbGRlckdGNS8lMGZvbnRfc3R5bGVfbmFtZUdRKjJEfk91dHB1dEYoLyUqbWF0aGNvbG9yR0ZALyUvbWF0aGJhY2tncm91bmRHRkMvJStmb250ZmFtaWx5R0YvLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGKC8lKW1hdGhzaXplR0YyNyMiIic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="hasard := rand(1 .. 1000000); 1">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="p := nextprime(hasard()); 1">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="decomp := ifactors(p-1)[2]; 1">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</Equation></Text-field>
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</Section>
<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">G\303\251n\303\251rateur de (Z/p^nZ)*</Font></Text-field></Title>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="p := 'p'; 1">NiQtSSVtcm93RzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YoNigtSSNtaUdGJTY5USJwRigvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GKC8lJXNpemVHUSMxMkYoLyUlYm9sZEdRJmZhbHNlRigvJSdpdGFsaWNHUSV0cnVlRigvJSp1bmRlcmxpbmVHRjgvJSpzdWJzY3JpcHRHRjgvJSxzdXBlcnNjcmlwdEdGOC8lK2ZvcmVncm91bmRHUShbMCwwLDBdRigvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYoLyUnb3BhcXVlR0Y4LyUrZXhlY3V0YWJsZUdGOy8lKXJlYWRvbmx5R0Y4LyUpY29tcG9zZWRHRjgvJSpjb252ZXJ0ZWRHRjgvJStpbXNlbGVjdGVkR0Y4LyUscGxhY2Vob2xkZXJHRjgvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYoLyUqbWF0aGNvbG9yR0ZELyUvbWF0aGJhY2tncm91bmRHRkcvJStmb250ZmFtaWx5R0YyLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGKC8lKW1hdGhzaXplR0Y1LUkjbW9HRiU2M1EjOj1GKC8lJWZvcm1HUSZpbmZpeEYoLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSdsc3BhY2VHUS90aGlja21hdGhzcGFjZUYoLyUncnNwYWNlR0ZbcC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobWF4c2l6ZUdRKWluZmluaXR5RigvJShtaW5zaXplR1EiMUYoLyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJTBmb250X3N0eWxlX25hbWVHRlgvJSVzaXplR0Y1LyUrZm9yZWdyb3VuZEdGRC8lK2JhY2tncm91bmRHRkctRl9vNjNRIidGKC9GY29RKHBvc3RmaXhGKEZlb0Znby9Gam9RMnZlcnl0aGlubWF0aHNwYWNlRigvRl1wUSQwZW1GKEZecEZgcEZicEZlcEZocEZqcEZccUZecUZgcUZicUZkcUYsRmZxLUZfbzYzUSI7RihGYm9GZW8vRmhvRjsvRmpvRl5yRlxwRl5wRmBwRmJwRmVwRmhwRmpwRlxxRl5xRmBxRmJxRmRxNyNDJD5JInBHRiguRmdyIiIi</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Soit p un nombre premier impair, et soit n un entier sup\303\251rieur</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">strictement \303\240 1. Alors (Z/p^nZ)* est cyclique.</Font></Text-field>
<Text-field style="Text" layout="Normal">De plus, si g est une racine primitive modulo p, alors si ce n'est</Text-field>
<Text-field style="Text" layout="Normal">pas une racine primitive modulo p^n, alors g+p en est une.</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">De plus, pour voir si g est une racine primitive modulo p^n, il suffit de voir si</Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">L\303\240 encore, on pourrait utiliser </Font><Font bold="true">primrroot</Font><Font encoding="UTF-8">. On fait ce programme \303\240 titre d'exercice.</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="decomp := ifactors(6)[2]; 1">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</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L59" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;debug&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi(&quot;gene2&quot;)))), Typesetting:-mo(&quot;;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;true&quot;, lspace = &quot;0em&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;gene2&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn(&quot;7&quot;), Typesetting:-mo(&quot;,&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;true&quot;, lspace = &quot;0em&quot;, rspace = &quot;verythickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;45&quot;), Typesetting:-mo(&quot;,&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;true&quot;, lspace = &quot;0em&quot;, rspace = &quot;verythickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;decomp&quot;))), Typesetting:-mi(&quot;&quot;)), Typesetting:-mo(&quot;;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;true&quot;, lspace = &quot;0em&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;))">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</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="Diagnostic" layout="Diagnostic">{--&gt; enter gene2, args = 7, 45, [[2, 1], [3, 1]]</Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field>
</Output>
<Output>
<Text-field style="Diagnostic" layout="Diagnostic">&lt;-- ERROR in gene2 (now at top level) = numeric exception: overflow}</Text-field>
<Text-field style="Error" layout="Error">Error, (in gene2) numeric exception: overflow</Text-field>
</Output>
</Group>
<Group labelreference="L60" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mn(&quot;5&quot;), Typesetting:-mrow(Typesetting:-mn(&quot;6&quot;), Typesetting:-mo(&quot;\342\213\205&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;verythinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-msup(Typesetting:-mn(&quot;7&quot;), Typesetting:-mn(&quot;43&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;)), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;), Typesetting:-mo(&quot; &quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;verythinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;mod&quot;), Typesetting:-mo(&quot; &quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;verythinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-msup(Typesetting:-mn(&quot;7&quot;), Typesetting:-mn(&quot;45&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mo(&quot;;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;true&quot;, lspace = &quot;0em&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;))">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</Equation></Text-field>
</Input>
<Output>
<Text-field style="Error" layout="Error">Error, numeric exception: overflow</Text-field>
<Text-field style="Error" layout="Maple Output"><Equation executable="false">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L61" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">5&amp;^(6*7^43) mod 7^45;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L62" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L67" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">OK. J'ai des probl\303\250mes avec cette interface. Je r\303\251\303\251cris le programme, en mode Text.</Font></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L68" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">gene2:=proc(p,n,decomp)
local g;
g:=generateur(p,decomp);
if g&amp;^((p-1)*p^(n-2)) mod p=1 then g+p else g fi;
end;
</Text-field>
</Input>
<Output>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="order(%, p^100); 1">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</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="phi(p^100); 1">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</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
</Input>
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<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Pour v\303\251rifier que g est un g\303\251n\303\251rateur, on peut aussi faire comme suit.</Font></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L79" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">estgene:=proc(g,p,n,decomp)
local r,i,k;
r:=1;
k:=nops(decomp);
for i from 1 to k do
    if g&amp;^((p-1)/decomp[i][1]) mod p=1 then return(0) fi;
od;
if g&amp;^((p-1)*p^(n-2)) mod p^n=1 then r:=0 fi;
r;
end;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Output>
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<Group labelreference="L80" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="estgene(g, p, 100, decomp); 1">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</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L86" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">C'est un g\303\251n\303\251rateur.</Font></Text-field>
</Input>
</Group>
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