1%=========================================================================== 2% 3% ${srcdir}/doc/LiDIA_NF.tex 4% 5%--------------------------------------------------------------------------- 6% 7% $Id: LiDIA_NF.tex,v 1.1.1.1 2001/05/02 16:27:08 lidiaadm Exp $ 8% 9%=========================================================================== 10 11\part*{The \LiDIA NF package}\label{LiDIA-NF} 12\addcontentsline{toc}{part}{\LiDIA NF package} 13 14% The \LiDIA NF package contains the classes which deal with quadratic number fields, and number 15% fields of higher degree. It requires the \LiDIA base package, the \LiDIA FF package, the \LiDIA 16% LA package, and the \LiDIA LT package. 17 18 19\chapter{Quadratic Number Fields} 20 21\begin{class}{quadratic_form} 22 \input{quadratic_form} 23\end{class} 24 25\begin{class}{quadratic_order} 26 \input{quadratic_order} 27\end{class} 28 29\begin{class}{qi_class} 30 \input{qi_class} 31\end{class} 32 33\begin{class}{qi_class_real} 34 \input{qi_class_real} 35\end{class} 36 37\begin{class}{quadratic_ideal} 38 \input{quadratic_ideal} 39\end{class} 40 41\begin{class}{quadratic_number_standard} 42 \input{quadratic_number_standard} 43\end{class} 44 45\begin{class}{quadratic_number_power_product_basis} 46 \input{quadratic_number_power_product_basis} 47\end{class} 48 49\begin{class}{quadratic_number_power_product} 50 \input{quadratic_number_power_product} 51\end{class} 52 53 54\chapter{Arbitrary Algebraic Number Fields} 55 56\begin{class}{number_field} 57 \input{field} 58\end{class} 59 60\begin{class}{order} 61 \input{order} 62\end{class} 63 64\begin{class}{alg_number} 65 \input{alg_number} 66\end{class} 67 68\begin{class}{module/alg_ideal} 69 \input{module} 70\end{class} 71 72\begin{class}{prime_ideal} 73 \input{prime_ideal} 74\end{class} 75 76 77\chapter{Factorization} 78 79The description of the general factorization template class can be found in the section ``LiDIA 80base package'' (see page \pageref{LiDIA-base:factorization}). 81 82\begin{class}{single_factor< alg_ideal >} 83 \input{sf_alg_ideal} 84\end{class} 85