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Old 2021-11-22, 22:59   #1
bhelmes
 
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Mar 2016

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Default searching a factor with a bilinear form

A peaceful and pleasant night,

I am missing a little bit the sunshine, november in Germany is not the best time.

If I have a bilinear form mod f such as
(a b)
(b d)

a, b, d elements of N

this could be understand as a lattice in the cartesian coordinate system which deliver a function value for the vector (n,m)

I am looking for a factor of f and thought a simple solution would be deriving a polynomial for one variable,
calculating the polynomial from n=0 up to n=max, multipling these terms mod f together and making then a gcd.

Nevertheless there might be better ways to solve this problem.

If you know a tricky way to solve faster the problem,
give me some lines, please.


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