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Ruud H.G. van Tol on Tue, 15 Jul 2025 11:41:49 +0200
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Re: question on solutions of rational versus integer ternary quadratics
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- To: pari-users@pari.math.u-bordeaux.fr
- Subject: Re: question on solutions of rational versus integer ternary quadratics
- From: "Ruud H.G. van Tol" <rvtol@isolution.nl>
- Date: Tue, 15 Jul 2025 11:41:43 +0200
- Delivery-date: Tue, 15 Jul 2025 11:41:49 +0200
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- In-reply-to: <49cfad03-208d-479a-804d-c0c438d27802@gmail.com>
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On 2025-07-14 22:11, American Citizen wrote:
I am working with the following conic and 2 ternary quadratics
conic = [261/5, -3481/50, 261/5, -1739/100, -1739/100, -1]
T9Q([x,y,z]) = 261/5*x^2 + (-3481/50*y - 1739/100*z)*x + (261/5*y^2 -
1739/100*z*y - z^2)
T9Z([x,y,z]) = 5220*x^2 + (-6962*y - 1739*z)*x + (5220*y^2 - 1739*z*y
- 100*z^2)
T9Q( x, y, x ) = conic * [ x^2, x*y, y^2, x*z, y*z, z^2 ]~
-- Ruud