Example 1: A Lagrange multiplier problem
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Verify that the matrices commute
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Example 2: A geometric intersection problem
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Read the roots of the system from the eigenvalues of the multiplication matrices M1, M2
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Example 3: A celestial mechanics problem. System S4 (Newtonian planar 4-body problem with equal masses)
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| (12) |
The minimal polynomial of Mphi is part of the plex Groebner basis of [e1,e2,e3] and P37 is a multiple of it.
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