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Not evaluating the coordinates

asked 2017-02-15 03:04:35 -0600

Sha gravatar image

I have the following code

D(f,m)=16*f^4*m^4 + (-144*f^10 + 432*f^9 - 472*f^8 - 1040*f^7 + 1672*f^6 + 784*f^5 - 3256*f^4 - 2896*f^3 - 392*f^2 + 128*f - 64)*m^2 + (36*f^14 - 468*f^13 + 3321*f^12 + 1224*f^11 - 8982*f^10 + 10332*f^9 + 29583*f^8 + 144*f^7 - 21024*f^6 - 4572*f^5 + 7047*f^4 + 3816*f^3 + 306*f^2 - 108*f + 81)
[(f,m) for m in [-10..10] for f in [-10..10] if D==0]

where I want to find all values of (f,m) that gives D=0. I have checked using Pari that one of the point is (-1,0), and also, (1,2). But when i run the coding it gives empty set.

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answered 2017-02-15 03:40:00 -0600

tmonteil gravatar image

You should evaluate D at point (f,m):

sage: [(f,m) for m in [-10..10] for f in [-10..10] if D(f,m)==0]
[(-1, -2), (1, -2), (-1, 0), (-1, 2), (1, 2)]
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Thank you for pointing that out..

Sha gravatar imageSha ( 2017-02-15 19:09:19 -0600 )edit

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Asked: 2017-02-15 03:04:35 -0600

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Last updated: Feb 15