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| author | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
| commit | ab8cc85adde879fb963c94d15675783f2cf4b183 (patch) | |
| tree | c202482327f474583b750b2c45dedfc4e4312b1d /src/input/radff.input.pamphlet | |
| download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz | |
Initial population.
Diffstat (limited to 'src/input/radff.input.pamphlet')
| -rw-r--r-- | src/input/radff.input.pamphlet | 53 |
1 files changed, 53 insertions, 0 deletions
diff --git a/src/input/radff.input.pamphlet b/src/input/radff.input.pamphlet new file mode 100644 index 00000000..8beeb1a7 --- /dev/null +++ b/src/input/radff.input.pamphlet @@ -0,0 +1,53 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input radff.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +--Copyright The Numerical Algorithms Group Limited 1991. +@ +<<*>>= +<<license>> + +)cl all +P0 := UP(x, INT) +P1 := UP(y, FRAC P0) +-- curve given by x^20 + y^20 = 1 +R := RADFF(INT, P0, P1, 1 - x**20, 20) +definingPolynomial()$R +genus()$R +rank()$R +numberOfComponents()$R +integralBasisAtInfinity()$R +branchPoint?(0)$R +branchPoint?(1)$R +y := generator()$R +norm y +trace y +-- curve given by y^4 = 2 x^2 +R2 := RADFF(INT, P0, P1, 2 * x**2, 4) +definingPolynomial()$R2 +rank()$R2 +absolutelyIrreducible?()$R2 +numberOfComponents()$R2 +genus()$R2 +integralBasis()$R2 +y := generator()$R2 +integralCoordinates(y**3) +integralRepresents(%.num, %.den)$R2 +norm y +trace y +regularRepresentation y +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |