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Commit 90cc488

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frederichan-IMJPRGjdemeyer
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The result computed by giacpy was not used in the doc and confused the reader
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src/sage/rings/polynomial/multi_polynomial_ideal.py

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@@ -3530,7 +3530,9 @@ def groebner_basis(self, algorithm='', deg_bound=None, mult_bound=None, prot=Fal
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sage: gb # optional - giacpy_sage
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[c^3 - 79/210*c^2 + 1/30*b + 1/70*c, b^2 - 3/5*c^2 - 1/5*b + 1/5*c, b*c + 6/5*c^2 - 1/10*b - 2/5*c, a + 2*b + 2*c - 1]
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sage: ideal(J.transformed_basis()).change_ring(P).interreduced_basis() # optional - giacpy_sage
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sage: ideal(gb).change_ring(P).interreduced_basis() # optional - giacpy_sage
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[a - 60*c^3 + 158/7*c^2 + 8/7*c - 1, b + 30*c^3 - 79/7*c^2 + 3/7*c, c^4 - 10/21*c^3 + 1/84*c^2 + 1/84*c]
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sage: ideal(J.transformed_basis()).change_ring(P).interreduced_basis() # testing trac 21884
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[a - 60*c^3 + 158/7*c^2 + 8/7*c - 1, b + 30*c^3 - 79/7*c^2 + 3/7*c, c^4 - 10/21*c^3 + 1/84*c^2 + 1/84*c]
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Giac's gbasis over `\QQ` can benefit from a probabilistic lifting and

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