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![variables := [x, y, z]](/support/helpjp/helpview.aspx?si=6449/file06495/math93.png)
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We solve a system in 3 variables and 3 unknowns
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Its triangular decomposition consists of only one regular chain
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Each initial is not equal to 1, hence this regular chain is not normalized
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![[z^12+94127136*z^8+691135635*z^7+676458799*z^4+195425386*z^3+326553470*z^2+574327669, z^12+94127136*z^8+691135635*z^7+676458799*z^4+195425386*z^3+326553470*z^2+574327669, 1]](/support/helpjp/helpview.aspx?si=6449/file06495/math139.png)
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We compute here a regular chain which is normalized and which describes the same solution as the previous one
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We check that it is normalized
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We check that the two regular chains describe the set of solutions
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| (8) |