\contentsline {section}{\numberline {1}The Gr\"obner Basis package}{1}
\contentsline {paragraph}{{\sf *grobner$-$debug*}}{1}
\contentsline {paragraph}{{\sf *buchberger$-$merge$-$pairs*}}{1}
\contentsline {paragraph}{{\sf *gebauer$-$moeller$-$merge$-$pairs*}}{1}
\contentsline {paragraph}{{\sf *grobner$-$function*}}{1}
\contentsline {paragraph}{{\sf select$-$grobner$-$algorithm}}{2}
\contentsline {paragraph}{{\sf grobner}}{2}
\contentsline {paragraph}{{\sf debug$-$cgb}}{2}
\contentsline {paragraph}{{\sf spoly}}{2}
\contentsline {paragraph}{{\sf grobner$-$primitive$-$part}}{2}
\contentsline {paragraph}{{\sf grobner$-$content}}{2}
\contentsline {paragraph}{{\sf normal$-$form}}{2}
\contentsline {paragraph}{{\sf buchberger}}{3}
\contentsline {paragraph}{{\sf grobner$-$op}}{3}
\contentsline {paragraph}{{\sf buchberger$-$sort$-$pairs}}{3}
\contentsline {paragraph}{{\sf mock$-$spoly}}{3}
\contentsline {paragraph}{{\sf buchberger$-$merge$-$pairs$-$use$-$mock$-$spoly}}{3}
\contentsline {paragraph}{{\sf buchberger$-$merge$-$pairs$-$smallest$-$lcm}}{3}
\contentsline {paragraph}{{\sf buchberger$-$merge$-$pairs$-$use$-$smallest$-$degree}}{3}
\contentsline {paragraph}{{\sf buchberger$-$merge$-$pairs$-$use$-$smallest$-$length}}{3}
\contentsline {paragraph}{{\sf buchberger$-$merge$-$pairs$-$use$-$smallest$-$coefficient$-$length}}{3}
\contentsline {paragraph}{{\sf buchberger$-$set$-$pair$-$heuristic}}{4}
\contentsline {paragraph}{{\sf criterion$-$1}}{4}
\contentsline {paragraph}{{\sf criterion$-$2}}{4}
\contentsline {paragraph}{{\sf normalize$-$poly}}{4}
\contentsline {paragraph}{{\sf normalize$-$basis}}{4}
\contentsline {paragraph}{{\sf reduction}}{4}
\contentsline {paragraph}{{\sf reduced$-$grobner}}{4}
\contentsline {paragraph}{{\sf monom$-$depends$-$p}}{4}
\contentsline {paragraph}{{\sf term$-$depends$-$p}}{4}
\contentsline {paragraph}{{\sf poly$-$depends$-$p}}{5}
\contentsline {paragraph}{{\sf ring$-$intersection}}{5}
\contentsline {paragraph}{{\sf elimination$-$ideal}}{5}
\contentsline {paragraph}{{\sf ideal$-$intersection}}{5}
\contentsline {paragraph}{{\sf poly$-$contract}}{5}
\contentsline {paragraph}{{\sf poly$-$lcm}}{5}
\contentsline {paragraph}{{\sf grobner$-$gcd}}{5}
\contentsline {paragraph}{{\sf grobner$-$equal}}{5}
\contentsline {paragraph}{{\sf grobner$-$subsetp}}{6}
\contentsline {paragraph}{{\sf grobner$-$member}}{6}
\contentsline {paragraph}{{\sf ideal$-$equal}}{6}
\contentsline {paragraph}{{\sf ideal$-$subsetp}}{6}
\contentsline {paragraph}{{\sf ideal$-$member}}{6}
\contentsline {paragraph}{{\sf ideal$-$saturation$-$1}}{6}
\contentsline {paragraph}{{\sf add$-$variables}}{6}
\contentsline {paragraph}{{\sf extend$-$polynomials}}{6}
\contentsline {paragraph}{{\sf saturation$-$extension}}{6}
\contentsline {paragraph}{{\sf polysaturation$-$extension}}{7}
\contentsline {paragraph}{{\sf saturation$-$extension$-$1}}{7}
\contentsline {paragraph}{{\sf ideal$-$polysaturation$-$1}}{7}
\contentsline {paragraph}{{\sf ideal$-$saturation}}{7}
\contentsline {paragraph}{{\sf ideal$-$polysaturation}}{7}
\contentsline {paragraph}{{\sf buchberger$-$criterion}}{7}
\contentsline {paragraph}{{\sf grobner$-$test}}{7}
\contentsline {paragraph}{{\sf minimization}}{7}
\contentsline {paragraph}{{\sf add$-$minimized}}{7}
\contentsline {paragraph}{{\sf colon$-$ideal}}{8}
\contentsline {paragraph}{{\sf colon$-$ideal$-$1}}{8}
\contentsline {paragraph}{{\sf pseudo$-$divide}}{8}
\contentsline {paragraph}{{\sf gebauer$-$moeller}}{8}
\contentsline {paragraph}{{\sf update}}{8}
\contentsline {paragraph}{{\sf gebauer$-$moeller$-$merge$-$pairs$-$use$-$mock$-$spoly}}{8}
\contentsline {paragraph}{{\sf gebauer$-$moeller$-$merge$-$pairs$-$smallest$-$lcm}}{8}
\contentsline {paragraph}{{\sf gebauer$-$moeller$-$merge$-$pairs$-$use$-$smallest$-$degree}}{8}
\contentsline {paragraph}{{\sf gebauer$-$moeller$-$merge$-$pairs$-$use$-$smallest$-$length}}{8}
\contentsline {paragraph}{{\sf gebauer$-$moeller$-$merge$-$pairs$-$use$-$smallest$-$coefficient$-$length}}{8}
\contentsline {paragraph}{{\sf gebauer$-$moeller$-$set$-$pair$-$heuristic}}{9}
\contentsline {paragraph}{{\sf spoly$-$sugar}}{9}
\contentsline {paragraph}{{\sf spoly$-$with$-$sugar}}{9}
\contentsline {paragraph}{{\sf normal$-$form$-$with$-$sugar}}{9}
\contentsline {paragraph}{{\sf buchberger$-$with$-$sugar}}{9}
\contentsline {paragraph}{{\sf buchberger$-$with$-$sugar$-$merge$-$pairs}}{9}
\contentsline {paragraph}{{\sf buchberger$-$with$-$sugar$-$sort$-$pairs}}{9}
\contentsline {paragraph}{{\sf criterion$-$1$-$with$-$sugar}}{9}
\contentsline {paragraph}{{\sf criterion$-$2$-$with$-$sugar}}{10}
\contentsline {paragraph}{{\sf gebauer$-$moeller$-$with$-$sugar}}{10}
\contentsline {paragraph}{{\sf update$-$with$-$sugar}}{10}
\contentsline {paragraph}{{\sf gebauer$-$moeller$-$with$-$sugar$-$merge$-$pairs}}{10}
\contentsline {paragraph}{{\sf grobner$-$primitive$-$part$-$with$-$sugar}}{10}
\contentsline {section}{\numberline {2}The String Interface to the Gr\"obner Basis package}{10}
\contentsline {paragraph}{{\sf string$-$normal$-$form}}{10}
\contentsline {paragraph}{{\sf string$-$grobner}}{10}
\contentsline {paragraph}{{\sf string$-$elimination$-$ideal}}{10}
\contentsline {paragraph}{{\sf string$-$ideal$-$intersection}}{10}
\contentsline {paragraph}{{\sf string$-$poly$-$lcm}}{11}
\contentsline {paragraph}{{\sf string$-$ideal$-$saturation$-$1}}{11}
\contentsline {paragraph}{{\sf string$-$ideal$-$polysaturation$-$1}}{11}
\contentsline {paragraph}{{\sf string$-$ideal$-$saturation}}{11}
\contentsline {paragraph}{{\sf string$-$ideal$-$polysaturation}}{11}
\contentsline {paragraph}{{\sf string$-$colon$-$ideal}}{11}
\contentsline {paragraph}{{\sf string$-$read$-$poly}}{11}
\contentsline {paragraph}{{\sf poly$-$rational$-$to$-$integer}}{11}
\contentsline {paragraph}{{\sf read$-$vars}}{11}
\contentsline {section}{\numberline {3}The Comprehensive Gr\"obner basis package}{12}
\contentsline {paragraph}{{\sf *colored$-$poly$-$debug*}}{12}
\contentsline {paragraph}{{\sf debug$-$cgb}}{12}
\contentsline {paragraph}{{\sf make$-$colored$-$poly}}{12}
\contentsline {paragraph}{{\sf make$-$colored$-$poly$-$list}}{12}
\contentsline {paragraph}{{\sf color$-$poly$-$list}}{12}
\contentsline {paragraph}{{\sf color$-$poly}}{12}
\contentsline {paragraph}{{\sf colored$-$poly$-$to$-$poly}}{12}
\contentsline {paragraph}{{\sf colored$-$poly$-$print}}{12}
\contentsline {paragraph}{{\sf colored$-$poly$-$print$-$list}}{12}
\contentsline {paragraph}{{\sf determine}}{13}
\contentsline {paragraph}{{\sf determine$-$1}}{13}
\contentsline {paragraph}{{\sf determine$-$white$-$term}}{13}
\contentsline {paragraph}{{\sf cond$-$system$-$print}}{13}
\contentsline {paragraph}{{\sf cond$-$print}}{13}
\contentsline {paragraph}{{\sf add$-$pairs}}{13}
\contentsline {paragraph}{{\sf cond$-$part}}{14}
\contentsline {paragraph}{{\sf cond$-$hm}}{14}
\contentsline {paragraph}{{\sf delete$-$green$-$polys}}{14}
\contentsline {paragraph}{{\sf grobner$-$system}}{14}
\contentsline {paragraph}{{\sf reorder$-$pairs}}{14}
\contentsline {paragraph}{{\sf colored$-$criterion$-$1}}{14}
\contentsline {paragraph}{{\sf colored$-$criterion$-$2}}{14}
\contentsline {paragraph}{{\sf cond$-$normal$-$form}}{14}
\contentsline {paragraph}{{\sf cond$-$spoly}}{14}
\contentsline {paragraph}{{\sf cond$-$lm}}{15}
\contentsline {paragraph}{{\sf cond$-$lc}}{15}
\contentsline {paragraph}{{\sf colored$-$term$-$times$-$poly}}{15}
\contentsline {paragraph}{{\sf colored$-$scalar$-$times$-$poly}}{15}
\contentsline {paragraph}{{\sf colored$-$term*}}{15}
\contentsline {paragraph}{{\sf color*}}{15}
\contentsline {paragraph}{{\sf color+}}{15}
\contentsline {paragraph}{{\sf color$-$}}{15}
\contentsline {paragraph}{{\sf colored$-$poly+}}{15}
\contentsline {paragraph}{{\sf colored$-$poly$-$}}{15}
\contentsline {paragraph}{{\sf colored$-$term$-$uminus}}{15}
\contentsline {paragraph}{{\sf colored$-$minus$-$poly}}{15}
\contentsline {paragraph}{{\sf string$-$grobner$-$system}}{16}
\contentsline {paragraph}{{\sf string$-$cond}}{16}
\contentsline {paragraph}{{\sf string$-$cover}}{16}
\contentsline {paragraph}{{\sf saturate$-$cover}}{16}
\contentsline {paragraph}{{\sf saturate$-$cond}}{16}
\contentsline {paragraph}{{\sf string$-$determine}}{16}
\contentsline {paragraph}{{\sf tidy$-$grobner$-$system}}{16}
\contentsline {paragraph}{{\sf tidy$-$pair}}{16}
\contentsline {paragraph}{{\sf tidy$-$cond}}{16}
\contentsline {paragraph}{{\sf colored$-$reduction}}{17}
\contentsline {paragraph}{{\sf green$-$reduce$-$colored$-$poly}}{17}
\contentsline {paragraph}{{\sf green$-$reduce$-$colored$-$list}}{17}
\contentsline {paragraph}{{\sf cond$-$system$-$green$-$reduce}}{17}
\contentsline {paragraph}{{\sf parse$-$to$-$colored$-$poly$-$list}}{17}
\contentsline {paragraph}{{\sf red$-$reduction}}{17}
\contentsline {section}{\numberline {4}The Coefficient Ring package}{17}
\contentsline {paragraph}{{\sf ring}}{17}
\contentsline {paragraph}{{\sf *ring$-$of$-$integers*}}{17}
\contentsline {paragraph}{{\sf *field$-$of$-$rationals*}}{18}
\contentsline {paragraph}{{\sf field$-$modulo$-$prime}}{18}
\contentsline {paragraph}{{\sf *coefficient$-$ring*}}{18}
\contentsline {section}{\numberline {5}The Division Package}{18}
\contentsline {paragraph}{{\sf divide}}{18}
\contentsline {paragraph}{{\sf poly$-$exact$-$divide}}{18}
\contentsline {section}{\numberline {6}The Dynamical Systems package}{18}
\contentsline {paragraph}{{\sf poly$-$scalar$-$composition}}{18}
\contentsline {paragraph}{{\sf poly$-$composition}}{18}
\contentsline {paragraph}{{\sf poly$-$dynamic$-$power}}{18}
\contentsline {paragraph}{{\sf poly$-$scalar$-$evaluate}}{18}
\contentsline {paragraph}{{\sf poly$-$evaluate}}{19}
\contentsline {paragraph}{{\sf factorial}}{19}
\contentsline {paragraph}{{\sf poly$-$scalar$-$diff}}{19}
\contentsline {paragraph}{{\sf poly$-$diff}}{19}
\contentsline {paragraph}{{\sf standard$-$vector}}{19}
\contentsline {paragraph}{{\sf scalar$-$partial}}{19}
\contentsline {paragraph}{{\sf partial}}{19}
\contentsline {paragraph}{{\sf determinant}}{19}
\contentsline {paragraph}{{\sf minor}}{19}
\contentsline {paragraph}{{\sf drop$-$row}}{19}
\contentsline {paragraph}{{\sf drop$-$column}}{19}
\contentsline {paragraph}{{\sf drop$-$elt}}{19}
\contentsline {paragraph}{{\sf matrix$-$}}{19}
\contentsline {paragraph}{{\sf scalar$-$times$-$matrix}}{20}
\contentsline {paragraph}{{\sf monom$-$times$-$matrix}}{20}
\contentsline {paragraph}{{\sf term$-$times$-$matrix}}{20}
\contentsline {paragraph}{{\sf poly$-$list$-$}}{20}
\contentsline {paragraph}{{\sf scalar$-$times$-$poly$-$list}}{20}
\contentsline {paragraph}{{\sf monom$-$times$-$poly$-$list}}{20}
\contentsline {paragraph}{{\sf term$-$times$-$poly$-$list}}{20}
\contentsline {paragraph}{{\sf characteristic$-$combination}}{20}
\contentsline {paragraph}{{\sf characteristic$-$combination$-$poly$-$list}}{20}
\contentsline {paragraph}{{\sf characteristic$-$matrix}}{20}
\contentsline {paragraph}{{\sf characteristic$-$polynomial}}{20}
\contentsline {paragraph}{{\sf identity$-$matrix}}{21}
\contentsline {paragraph}{{\sf print$-$matrix}}{21}
\contentsline {paragraph}{{\sf jacobi$-$matrix}}{21}
\contentsline {paragraph}{{\sf jacobian}}{21}
\contentsline {section}{\numberline {7}The Geometric Theorem Prover package}{21}
\contentsline {paragraph}{{\sf *prover$-$order*}}{21}
\contentsline {paragraph}{{\sf csym}}{21}
\contentsline {paragraph}{{\sf real$-$identical$-$points}}{21}
\contentsline {paragraph}{{\sf identical$-$points}}{21}
\contentsline {paragraph}{{\sf perpendicular}}{21}
\contentsline {paragraph}{{\sf parallel}}{21}
\contentsline {paragraph}{{\sf collinear}}{22}
\contentsline {paragraph}{{\sf equidistant}}{22}
\contentsline {paragraph}{{\sf euclidean$-$distance}}{22}
\contentsline {paragraph}{{\sf midpoint}}{22}
\contentsline {paragraph}{{\sf translate$-$statements}}{22}
\contentsline {paragraph}{{\sf translate$-$assumptions}}{22}
\contentsline {paragraph}{{\sf translate$-$conclusions}}{22}
\contentsline {paragraph}{{\sf translate$-$theorem}}{22}
\contentsline {paragraph}{{\sf prove$-$theorem}}{22}
\contentsline {section}{\numberline {8}The Monomial Order Package}{22}
\contentsline {paragraph}{{\sf lex$>$}}{22}
\contentsline {paragraph}{{\sf total$-$degree}}{23}
\contentsline {paragraph}{{\sf grlex$>$}}{23}
\contentsline {paragraph}{{\sf grevlex$>$}}{23}
\contentsline {paragraph}{{\sf revlex$>$}}{23}
\contentsline {paragraph}{{\sf invlex$>$}}{23}
\contentsline {paragraph}{{\sf elimination$-$order}}{23}
\contentsline {paragraph}{{\sf elimination$-$order$-$1}}{23}
\contentsline {section}{\numberline {9}The Polynomial Package}{23}
\contentsline {paragraph}{{\sf scalar$-$times$-$poly}}{23}
\contentsline {paragraph}{{\sf term$-$times$-$poly}}{23}
\contentsline {paragraph}{{\sf monom$-$times$-$poly}}{23}
\contentsline {paragraph}{{\sf minus$-$poly}}{23}
\contentsline {paragraph}{{\sf sort$-$poly}}{24}
\contentsline {paragraph}{{\sf poly+}}{24}
\contentsline {paragraph}{{\sf poly$-$}}{24}
\contentsline {paragraph}{{\sf poly*}}{24}
\contentsline {paragraph}{{\sf poly$-$op}}{24}
\contentsline {paragraph}{{\sf poly$-$expt}}{24}
\contentsline {paragraph}{{\sf poly$-$mexpt}}{24}
\contentsline {paragraph}{{\sf poly$-$constant$-$p}}{24}
\contentsline {paragraph}{{\sf poly$-$extend}}{24}
\contentsline {paragraph}{{\sf poly$-$extend$-$end}}{24}
\contentsline {paragraph}{{\sf poly$-$zerop}}{24}
\contentsline {paragraph}{{\sf lt}}{25}
\contentsline {paragraph}{{\sf lm}}{25}
\contentsline {paragraph}{{\sf lc}}{25}
\contentsline {section}{\numberline {10}The Parser Package}{25}
\contentsline {paragraph}{{\sf parse}}{25}
\contentsline {paragraph}{{\sf alist$-$form}}{25}
\contentsline {paragraph}{{\sf alist$-$form$-$1}}{25}
\contentsline {paragraph}{{\sf powers}}{25}
\contentsline {paragraph}{{\sf parse$-$to$-$alist}}{25}
\contentsline {paragraph}{{\sf parse$-$string$-$to$-$alist}}{25}
\contentsline {paragraph}{{\sf parse$-$to$-$sorted$-$alist}}{26}
\contentsline {paragraph}{{\sf parse$-$string$-$to$-$sorted$-$alist}}{26}
\contentsline {paragraph}{{\sf sort$-$poly$-$1}}{26}
\contentsline {paragraph}{{\sf sort$-$poly}}{26}
\contentsline {paragraph}{{\sf poly$-$eval$-$1}}{26}
\contentsline {paragraph}{{\sf poly$-$eval}}{26}
\contentsline {paragraph}{{\sf monom$-$basis}}{26}
\contentsline {paragraph}{{\sf convert$-$number}}{26}
\contentsline {paragraph}{{\sf \$poly+}}{27}
\contentsline {paragraph}{{\sf \$poly$-$}}{27}
\contentsline {paragraph}{{\sf \$minus$-$poly}}{27}
\contentsline {paragraph}{{\sf \$poly*}}{27}
\contentsline {paragraph}{{\sf \$poly/}}{27}
\contentsline {paragraph}{{\sf \$poly$-$expt}}{27}
\contentsline {section}{\numberline {11}Other packages}{27}
\contentsline {paragraph}{{\sf makelist$-$1}}{27}
\contentsline {paragraph}{{\sf makelist}}{27}
\contentsline {paragraph}{{\sf sum}}{27}
\contentsline {paragraph}{{\sf list$-$of}}{27}
\contentsline {paragraph}{{\sf list$-$of$-$1}}{27}
\contentsline {paragraph}{{\sf union$-$of}}{27}
\contentsline {paragraph}{{\sf union$-$of$-$1}}{28}
\contentsline {paragraph}{{\sf set$-$of}}{28}
\contentsline {paragraph}{{\sf set$-$of$-$1}}{28}
\contentsline {paragraph}{{\sf select}}{28}
\contentsline {paragraph}{{\sf monom/}}{28}
\contentsline {paragraph}{{\sf monom*}}{28}
\contentsline {paragraph}{{\sf nmonom*}}{28}
\contentsline {paragraph}{{\sf monom$-$divides$-$p}}{28}
\contentsline {paragraph}{{\sf monom$-$divisible$-$by$-$p}}{28}
\contentsline {paragraph}{{\sf monom$-$rel$-$prime}}{28}
\contentsline {paragraph}{{\sf monom$-$equal}}{28}
\contentsline {paragraph}{{\sf monom$-$lcm}}{28}
\contentsline {paragraph}{{\sf monom$-$gcd}}{28}
\contentsline {paragraph}{{\sf poly$-$gcd}}{28}
\contentsline {paragraph}{{\sf poly$-$pseudo$-$divide}}{29}
\contentsline {paragraph}{{\sf poly$-$pseudo$-$remainder}}{29}
\contentsline {paragraph}{{\sf mdeg}}{29}
\contentsline {paragraph}{{\sf lcoeff}}{29}
\contentsline {paragraph}{{\sf lrest}}{29}
\contentsline {paragraph}{{\sf lpart}}{29}
\contentsline {paragraph}{{\sf poly$-$primitive$-$part}}{29}
\contentsline {paragraph}{{\sf poly$-$content}}{29}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$poly}}{29}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$sugar}}{29}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$tail}}{29}
\contentsline {paragraph}{{\sf (setf poly$-$with$-$sugar$-$poly)}}{29}
\contentsline {paragraph}{{\sf (setf poly$-$with$-$sugar$-$sugar)}}{29}
\contentsline {paragraph}{{\sf (setf poly$-$with$-$sugar$-$tail)}}{29}
\contentsline {paragraph}{{\sf monom$-$sugar}}{30}
\contentsline {paragraph}{{\sf coefficient$-$sugar}}{30}
\contentsline {paragraph}{{\sf term$-$sugar}}{30}
\contentsline {paragraph}{{\sf poly$-$add$-$sugar}}{30}
\contentsline {paragraph}{{\sf scalar$-$times$-$poly$-$with$-$sugar}}{30}
\contentsline {paragraph}{{\sf term$-$times$-$poly$-$with$-$sugar}}{30}
\contentsline {paragraph}{{\sf monom$-$times$-$poly$-$with$-$sugar}}{30}
\contentsline {paragraph}{{\sf minus$-$poly$-$with$-$sugar}}{30}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar+}}{30}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$}}{30}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$op}}{30}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$nreverse}}{30}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$append}}{30}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$zerop}}{30}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$lm}}{31}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$lc}}{31}
\contentsline {paragraph}{{\sf poly$-$with$-$sugar$-$lt}}{31}
\contentsline {paragraph}{{\sf poly$-$print}}{31}
\contentsline {paragraph}{{\sf poly$-$print$-$1}}{31}
\contentsline {paragraph}{{\sf poly$-$print$-$2}}{31}
\contentsline {paragraph}{{\sf print$-$term}}{31}
\contentsline {paragraph}{{\sf print$-$monom}}{31}
\contentsline {paragraph}{{\sf num}}{31}
\contentsline {paragraph}{{\sf denom}}{31}
\contentsline {paragraph}{{\sf rat$-$simplify$-$2}}{31}
\contentsline {paragraph}{{\sf rat$-$simplify}}{31}
\contentsline {paragraph}{{\sf rat+}}{31}
\contentsline {paragraph}{{\sf rat$-$}}{32}
\contentsline {paragraph}{{\sf rat*}}{32}
\contentsline {paragraph}{{\sf rat/}}{32}
\contentsline {paragraph}{{\sf scalar$-$times$-$rat}}{32}
\contentsline {paragraph}{{\sf scalar$-$div$-$rat}}{32}
\contentsline {paragraph}{{\sf rat$-$zerop}}{32}
\contentsline {paragraph}{{\sf rat$-$uminus}}{32}
\contentsline {paragraph}{{\sf rat$-$expt}}{32}
\contentsline {paragraph}{{\sf rat$-$constant}}{32}
\contentsline {paragraph}{{\sf rat$-$to$-$poly}}{32}
\contentsline {paragraph}{{\sf ratpoly+}}{32}
\contentsline {paragraph}{{\sf ratpoly$-$}}{32}
\contentsline {paragraph}{{\sf ratpoly$-$uminus}}{32}
\contentsline {paragraph}{{\sf ratpoly*}}{32}
\contentsline {paragraph}{{\sf scalar$-$times$-$ratpoly}}{33}
\contentsline {paragraph}{{\sf rat$-$times$-$ratpoly}}{33}
\contentsline {paragraph}{{\sf ratpoly$-$divide}}{33}
\contentsline {paragraph}{{\sf ratpoly$-$remainder}}{33}
\contentsline {paragraph}{{\sf ratpoly$-$gcd}}{33}
\contentsline {paragraph}{{\sf ratpoly$-$diff}}{33}
\contentsline {paragraph}{{\sf ratpoly$-$square$-$free}}{33}
\contentsline {paragraph}{{\sf ratpoly$-$normalize}}{33}
\contentsline {paragraph}{{\sf ratpoly$-$resultant}}{33}
\contentsline {paragraph}{{\sf deg}}{33}
\contentsline {paragraph}{{\sf lead}}{33}
\contentsline {paragraph}{{\sf ratpoly$-$discriminant}}{33}
\contentsline {paragraph}{{\sf ratpoly$-$print}}{33}
\contentsline {paragraph}{{\sf poly$-$to$-$ratpoly}}{33}
\contentsline {paragraph}{{\sf poly$-$to$-$poly1}}{34}
\contentsline {paragraph}{{\sf poly1$-$to$-$ratpoly}}{34}
\contentsline {paragraph}{{\sf ratpoly$-$to$-$poly1}}{34}
\contentsline {paragraph}{{\sf poly1$-$to$-$poly}}{34}
\contentsline {paragraph}{{\sf ratpoly$-$to$-$poly}}{34}
\contentsline {paragraph}{{\sf poly$-$resultant}}{34}
\contentsline {paragraph}{{\sf term*}}{34}
\contentsline {paragraph}{{\sf term/}}{34}
\contentsline {paragraph}{{\sf monom$-$times$-$term}}{34}
\contentsline {paragraph}{{\sf term$-$divides$-$p}}{34}
\contentsline {paragraph}{{\sf term$-$monom}}{34}
\contentsline {paragraph}{{\sf term$-$coefficient}}{34}
\contentsline {paragraph}{{\sf (setf term$-$monom)}}{34}
\contentsline {paragraph}{{\sf (setf term$-$coefficient)}}{34}
\contentsline {paragraph}{{\sf xgcd}}{35}
\contentsline {section}{\numberline {A}All examples produced by the {\tt all-examples} utility}{35}