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User comments
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Explicit Curve
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S.E.Fischer
12-20-2014 05:10
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We can assume such a curve C as an extension E of degree 2 of a curve F of genus 5 as follows:
F:= y^4 + (x^2 + x + 1)*y^2 + (x^2 + x)*y + x^7 + x^3 ;
E/F := z^2*x^2 + z*(y+1) + x^3 + x^7 .
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Defining equation
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Isabel Pirsic
06-18-2012 13:04
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x^19*y^8 +
(x^14 + x^13)*y^7 +
(x^13 + x^8)*y^6 +
(x^14 + x^8 + x^7 + x^6)*y^5 +
(x^17 + x^16 + x^15 + x^13 + x^9 + x^8 + x^7 + x^5 + x^3 + x^2)*y^4 +
(x^6 + x^5)*y^3 +
(x^15 + x^9 + x^7 + x^5 + x + 1)*y^2 +
(x^13 + x^8 + x^7 + x^5)*y +
x^18
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User comments
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