What's New in Maple 14: SubresultantChain with different representation<Text-field style="Heading 1" layout="Heading 1">Description of Feature</Text-field>The command SubresultantChain in the ChainTools module is used to compute the subresultant chain of two polynomials. The encoding of the subresultants can be controlled by an optional argument. This encoding can be by values, over the monomial basis or via the Bezout Matrix. When this optional argument is not specified, the encoding is chosen according to a heuristical algorithm.<Text-field style="Heading 1" layout="Heading 1">Examples </Text-field>Load the RegularChains library.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYkUShyZXN0YXJ0RicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGNC1JI21vR0YkNi5RIjtGJy8lJ2l0YWxpY0dGOS9GNVEnbm9ybWFsRicvJSZmZW5jZUdGOS8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJ0Y3RjQ=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Define a ring of polynomials.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 two polynomials of R.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Compute their subresultant chain w.r.t the variable LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==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 result is of type LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEzc3VicmVzdWx0YW50X2NoYWluRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSJ+RicvJSdpdGFsaWNHRjFGLy9GM1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZNRi9GMg==and encodes all the polynomials in the subresultant chain. To display the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiaUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JVEjdGhGJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYvUSJ+RicvJSdpdGFsaWNHRjRGMi9GNlEnbm9ybWFsRicvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZYRjJGNQ==subresulant polynomial, one can call the command SubresultantOfIndex. For example, to know the subresultant of index LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JlEiMEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjEvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2L1EiLEYnRi9GMkY0LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjg2L1EifkYnRi9GMkY0RjsvRj5GMUZARkJGREZGRkhGSi9GTkZMRjIvRjVRJ2l0YWxpY0Ynthat is the resultant, one can do as 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The encoding of the subresultants can be controlled by an optional argument. This encoding can be by values, over the monomial basis or via the Bezout Matrix. When this optional argument is not specified, the encoding is chosen according to a heuristical algorithm.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JFEkc3JjRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEjOj1GJy8lJ2l0YWxpY0dRJmZhbHNlRicvRjBRJ25vcm1hbEYnLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSy1GLDYkUTJTdWJyZXN1bHRhbnRDaGFpbkYnRi8tSShtZmVuY2VkR0YkNiUtRiM2Li1JJW1zdWJHRiQ2JS1GLDYkUSJmRidGLy1GIzYjLUkjbW5HRiQ2JVEiMUYnRjZGOS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYzNi5RIixGJ0Y2RjlGOy9GPlEldHJ1ZUYnRj9GQUZDRkVGRy9GSlEmMC4wZW1GJy9GTVEsMC4zMzMzMzMzZW1GJy1GVzYlRlktRiM2Iy1GaW42JVEiMkYnRjZGOUZcb0Zfby1GLDYkUSJ5RidGL0Zfby1GLDYkUSJSRidGL0Zfby1GMzYuUSJ+RidGNkY5RjtGPUY/RkFGQ0ZFRkdGZG8vRk1GZW8tRiw2JFEvcmVwcmVzZW50YXRpb25GJ0YvLUYzNi5RIj1GJ0Y2RjlGO0Y9Rj9GQUZDRkVGR0ZJRkwtRiw2JFEtQmV6b3V0TWF0cml4RidGL0Y2RjktRjM2LlEiO0YnRjZGOUY7RmJvRj9GQUZDRkVGR0Zkb0ZMLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHRmVvLyUmZGVwdGhHRmpxLyUqbGluZWJyZWFrR1EobmV3bGluZUYnLUYsNiRRI29wRidGLy1GUjYlLUYjNiNGK0Y2RjlGYnE=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JFEkc3JjRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEjOj1GJy8lJ2l0YWxpY0dRJmZhbHNlRicvRjBRJ25vcm1hbEYnLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSy1GLDYkUTJTdWJyZXN1bHRhbnRDaGFpbkYnRi8tSShtZmVuY2VkR0YkNiUtRiM2Li1JJW1zdWJHRiQ2JS1GLDYkUSJmRidGLy1GIzYjLUkjbW5HRiQ2JVEiMUYnRjZGOS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYzNi5RIixGJ0Y2RjlGOy9GPlEldHJ1ZUYnRj9GQUZDRkVGRy9GSlEmMC4wZW1GJy9GTVEsMC4zMzMzMzMzZW1GJy1GVzYlRlktRiM2Iy1GaW42JVEiMkYnRjZGOUZcb0Zfby1GLDYkUSJ5RidGL0Zfby1GLDYkUSJSRidGL0Zfby1GMzYuUSJ+RidGNkY5RjtGPUY/RkFGQ0ZFRkdGZG8vRk1GZW8tRiw2JFEvcmVwcmVzZW50YXRpb25GJ0YvLUYzNi5RIj1GJ0Y2RjlGO0Y9Rj9GQUZDRkVGR0ZJRkwtRiw2JFEuTW9ub21pYWxCYXNpc0YnRi9GNkY5LUYzNi5RIjtGJ0Y2RjlGO0Zib0Y/RkFGQ0ZFRkdGZG9GTC1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR0Zlby8lJmRlcHRoR0ZqcS8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1GLDYkUSNvcEYnRi8tRlI2JS1GIzYjRitGNkY5RmJxThe representation ByValues is used only for modpn ring. The following examples illustrates how to use it tocompute the resultant of two univariate polynomials modulo a big prime number (modpn prime number). It also shows that the capabilities of Maple in computing polynomial resultants have been improved by several orders of magnitude.Set the polynomial ring.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEicEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGNC1JI21vR0YkNi5RKiZjb2xvbmVxO0YnRjJGNS8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkstSSNtbkdGJDYlUSo5NjI1OTI3NjlGJ0YyRjUtRjg2LlEiOkYnRjJGNUY7Rj1GP0ZBRkNGRUZHRklGTA==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Define the input polynomials.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Compute the resultant via ByValues representation. 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JSFHWithout fast 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style="Heading 1" layout="Heading 1">Notes for Beta-Testers</Text-field>For ByValues representation, you have to choose modpn prime number. 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O que h\303\241 de novo no Maple 14:
Cadeia de Subresultantes com representa\303\247\303\243o diferente<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Descri\303\247\303\243o do recurso</Font></Text-field>O comando SubresultantChain no modolo ChainTools \303\251 usado para calcular a cadeia subresultante de dois polin\303\264mios. A codifica\303\247\303\243o dos subresultantes pode ser controlada por um argumento opcional. Essa codifica\303\247\303\243o pode ser por valores, sobre a base monomial ou via Matriz de Bezout. Quando este argumento opcional n\303\243o \303\251 especificado, a codifica\303\247\303\243o \303\251 escolhida de acordo com um algoritmo heur\303\255stico.<Text-field style="Heading 1" layout="Heading 1">Exemplos </Text-field>Carregar a biblioteca de Cadeias regulares.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYkUShyZXN0YXJ0RicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGNC1JI21vR0YkNi5RIjtGJy8lJ2l0YWxpY0dGOS9GNVEnbm9ybWFsRicvJSZmZW5jZUdGOS8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJ0Y3RjQ=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
Defina um anel de polin\303\264mios.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Defina dois polin\303\264mios de R.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY+LUklbXN1YkdGJDYlLUkjbWlHRiQ2JFEiZkYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JVEiMUYnLyUnaXRhbGljR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGMi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LlEqJmNvbG9uZXE7RidGO0Y+LyUmZmVuY2VHRj0vJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVy1JKG1mZW5jZWRHRiQ2JS1GIzYnLUYvNiNRIUYnLUYjNiQtSSVtc3VwR0YkNiUtRi82JFEieUYnRjItRjg2JVEiMkYnRjtGPi8lMXN1cGVyc2NyaXB0c2hpZnRHRkJGMi1GRDYuUSIrRidGO0Y+RkdGSUZLRk1GT0ZRRlMvRlZRLDAuMjIyMjIyMmVtRicvRllGXXAtRjg2JVEiNkYnRjtGPkYyRjtGPi1GRDYuUTEmSW52aXNpYmxlVGltZXM7RidGO0Y+L0ZIUSZ1bnNldEYnL0ZKRmZwL0ZMRmZwL0ZORmZwL0ZQRmZwL0ZSRmZwL0ZURmZwL0ZWUSYwLjBlbUYnL0ZZRl5xLUZlbjYlLUYjNiYtRi82JFEieEYnRjItRkQ2LlEoJm1pbnVzO0YnRjtGPkZHRklGS0ZNRk9GUUZTRlxwRl5wRjdGMkY7Rj5GZ3FGYW9GYnAtRmVuNiUtRiM2J0Zpbi1GIzYkLUZfbzYlRmRxRmRvRmdvRjJGaW9GN0YyRjtGPi1GRDYuUSI7RidGO0Y+RkcvRkpRJXRydWVGJ0ZLRk1GT0ZRRlNGXXFGWC1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR0ZecS8lJmRlcHRoR0Zccy8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1GRDYuUSJ+RidGO0Y+RkdGSUZLRk1GT0ZRRlNGXXFGX3EtRiw2JUYuLUYjNiRGZG9GMkZARkMtRmVuNiUtRiM2J0ZpbkZeckZpb0ZfcEYyRjtGPkZicC1GZW42JS1GIzYmRmFvRmdxRjdGMkY7Rj5GZ3FGZHFGYnAtRmVuNiUtRiM2J0ZpbkZcb0Zpb0Y3RjJGO0Y+RmluRmdyLUZocjYmRmpyRl1zRl9zL0Zic1ElYXV0b0YnRmluRjsvJStleGVjdXRhYmxlR0Y9Rj4=Calcule sua cadeia de subresultantes com a vari\303\241vel LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==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 resultado \303\251 do tipo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEzc3VicmVzdWx0YW50X2NoYWluRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSJ+RicvJSdpdGFsaWNHRjFGLy9GM1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZNRi9GMg==e codifica todos os polin\303\264mios na cadeia de subresultantes. Para exibir o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiaUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JVEjdGhGJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYvUSJ+RicvJSdpdGFsaWNHRjRGMi9GNlEnbm9ybWFsRicvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZYRjJGNQ==polinomio subresulante, pode-se chamar o comando SubresultantOfIndex. Por exemplo, para saber o subresultante do \303\255ndice "0", esse \303\251 o resultado, pode-se fazer o seguinteLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2JFEkcmVzRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEifkYnLyUnaXRhbGljR1EmZmFsc2VGJy9GMFEnbm9ybWFsRicvJSZmZW5jZUdGOC8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZLLUYzNi5RKiZjb2xvbmVxO0YnRjZGOUY7Rj1GP0ZBRkNGRUZHL0ZKUSwwLjI3Nzc3NzhlbUYnL0ZNRlJGMi1GLDYkUTRTdWJyZXN1bHRhbnRPZkluZGV4RidGLy1JKG1mZW5jZWRHRiQ2JS1GIzYqLUkjbW5HRiQ2JVEiMEYnRjZGOS1GMzYuUSIsRidGNkY5RjsvRj5RJXRydWVGJ0Y/RkFGQ0ZFRkdGSS9GTVEsMC4zMzMzMzMzZW1GJ0YyLUYsNiRRJHNyY0YnRi9Gam5GMi1GLDYkUSJSRidGL0YvRjZGOS1GLDYjUSFGJ0Y2LyUrZXhlY3V0YWJsZUdGOEY5
A codifica\303\247\303\243o dos subbresultantes pode ser controlada por um argumento opcional. Essa codifica\303\247\303\243o pode ser por valores, sobre a base monomial ou via Matriz de Bezout.
Quando este argumento opcional n\303\243o \303\251 especificado, a codifica\303\247\303\243o \303\251 escolhida de acordo com um algoritmo heur\303\255stico.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
A representa\303\247\303\243o por valores \303\251 usada apenas para anel modpn. Os exemplos a seguir ilustram como us\303\241-lo para
computar a resultante de dois polin\303\264mios univariados modulo um grande n\303\272mero primo (modpn n\303\272mero primo).
Tamb\303\251m mostra que as capacidades do Maple em computar resultantes polinomiais foram melhoradas em v\303\241rias ordens de magnitude.Defina o anel polinomial.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 os polin\303\264mios de entrada.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
Calcule a resultante por meio da representa\303\247\303\243o ByValues(por valores.). 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
Sem aritm\303\251tica r\303\241pida.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
Compare os resultados.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JSFH