\begin{description}
\item[absolute] \ \ 
  \begin{description}
  \item[ABS]  Absolute value.
  \item[IABSF]  Integer absolute value function.
  \item[IPABS]  Integral polynomial absolute value.
  \item[RNABS]  Rational number absolute value.
  \item[SFRABS]  Single-precision floating-point real absolute value.
  \end{description}
\item[adjoin] \ \ 
  \begin{description}
  \item[MIAIM]  Matrix of integers, adjoin identity matrix.
  \item[VIAZ]  Vector of integers, adjoin zeros.
  \end{description}
\item[advance] \ \ 
  \begin{description}
  \item[AADV]  Arithmetic advance.
  \item[ADV]  Advance.
  \item[ADV2]  Advance 2.
  \item[ADV3]  Advance 3.
  \item[ADV4]  Advance 4.
  \end{description}
\item[after] \ \ 
  \begin{description}
  \item[IPVCHT]  Integral polynomial variations after circle to half-plane
    transformation.
  \end{description}
\item[algebraic] \ \ 
  \begin{description}
  \item[AFCOMP]  Algebraic number field comparison.
  \item[AFCR]  Algebraic number field element convert representation.
  \item[AFDIF]  Algebraic number field element difference.
  \item[AFDWRITE]  Algebraic number field, decimal write.
  \item[AFFINT]  Algebraic number field element from integer.
  \item[AFFRN]  Algebraic number field element from rational number.
  \item[AFICR]  Algebraic number field element inverse convert representation.
  \item[AFINV]  Algebraic number field element inverse.
  \item[AFNEG]  Algebraic number field negative.
  \item[AFPAFP]  Algebraic number field polynomial algebraic number field
    element product.
  \item[AFPAFP]  Algebraic number field polynomial algebraic number field
    element product.
  \item[AFPAFQ]  Algebraic number field polynomial algebraic number field
    element quotient.
  \item[AFPAFQ]  Algebraic number field polynomial algebraic number field
    element quotient.
  \item[AFPBRI]  Algebraic number field polynomial basis real root isolation.
  \item[AFPCMV]  Algebraic number field polynomial composition in main
    variable.
  \item[AFPCR]  Algebraic number field polynomial convert representation.
  \item[AFPDIF]  Algebraic number field polynomial difference.
  \item[AFPDMV]  Algebraic number field polynomial derivative, main variable.
  \item[AFPEMV]  Algebraic number field polynomial evaluation of main
    variable.
  \item[AFPEV]  Algebraic number field polynomial evaluation.
  \item[AFPFIP]  Algebraic number field polynomial from integral polynomial.
  \item[AFPFRP]  Algebraic number field polynomial from rational polynomial.
  \item[AFPICR]  Algebraic number field polynomial inverse convert
    representation.
  \item[AFPINT]  Algebraic number field polynomial integration.
  \item[AFPME]  Algebraic number field polynomial multiple evaluation.
  \item[AFPMON]  Algebraic number field polynomial monic.
  \item[AFPNEG]  Algebraic number field polynomial negative.
  \item[AFPNIP]  Algebraic number field polynomial normalize to integral
    polynomial.
  \item[AFPNORM]  Algebraic number field polynomial norm.
  \item[AFPPR]  Algebraic number field polynomial product.
  \item[AFPQR]  Algebraic number field polynomial quotient and remainder.
  \item[AFPRCL]  Algebraic number field polynomial real root isolation,
    collins-loos algorithm.
  \item[AFPRII]  Algebraic number field polynomial real root isolation
    induction.
  \item[AFPRLS]  Algebraic number field polynomial real root list separation.
  \item[AFPROD]  Algebraic number field element product.
  \item[AFPRRI]  Algebraic number field polynomial relative real root
    isolation.
  \item[AFPRRS]  Algebraic number field polynomial real root separation.
  \item[AFPSUM]  Algebraic number field polynomial sum.
  \item[AFPWRITE]  Algebraic number field polynomial write.
  \item[AFQ]  Algebraic number field quotient.
  \item[AFSIGN]  Algebraic number field sign.
  \item[AFSUM]  Algebraic number field element sum.
  \item[AFUPBRI]  Algebraic number field univariate polynomial basis real root
    isolation.
  \item[AFUPFAC]  Algebraic number field univariate polynomial factorization.
  \item[AFUPGC]  Algebraic number field univariate polynomial greatest common
    divisor and cofactors.
  \item[AFUPGS]  Algebraic number field polynomial greatest squarefree
    divisior.
  \item[AFUPIIR]  Algebraic number field polynomial isolating interval
    refinement.
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AFUPMPR]  Algebraic number field univariate polynomial minimal
    polynomial of a real root.
  \item[AFUPRB]  Algebraic number field univariate polynomial root bound.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[AFUPRICS]  Algebraic univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AFUPRII]  Algebraic number field univariate polynomial real root
    isolation induction.
  \item[AFUPRL]  Algebraic number field univariate polynomial, root of a
    linear polynomial.
  \item[AFUPRLS]  Algebraic number field univariate polynomial real root list
    separation.
  \item[AFUPRRI]  Algebraic number field univariate polynomial relative real
    root isolation.
  \item[AFUPRRS]  Algebraic number field univariate polynomial real root
    separation.
  \item[AFUPSF]  Algebraic number field univariate polynomial squarefree
    factorization.
  \item[AFUPSFN]  Algebraic number field univariate polynomial squarefree
    norm.
  \item[AFUPSR]  Algebraic number field univariate polynomial, sign at a
    rational point.
  \item[AFUPVAR]  Algebraic number field univariate polynomial variations.
  \item[AFUPWRITE]  Algebraic number field univariate polynomial write.
  \item[AFWRITE]  Algebraic field element write.
  \item[AIFAN]  Algebraic integer from algebraic number.
  \item[AIFAN]  Algebraic integer from algebraic number.
  \item[AMPDMV]  Algebraic module polynomial derivative, main variable.
  \item[AMPSAFP]  Algebraic module polynomial similar to algebraic field
    polynomial.
  \item[AMPSAFP]  Algebraic module polynomial similar to algebraic field
    polynomial.
  \item[AMSIGN]  Algebraic module sign.
  \item[AMSIGNIR]  Algebraic module sign, interval refinement.
  \item[AMUPBES]  Algebraic module univariate polynomial, binary rational
    evaluation of sign.
  \item[AMUPBHT]  Algebraic module univariate polynomial binary homothetic
    transformation.
  \item[AMUPIIR]  Algebraic module polynomial isolating interval refinement.
  \item[AMUPIIWS]  Algebraic module univariate polynomial isolating intervals
    weakly disjoint to strongly disjoint.
  \item[AMUPMPR]  Algebraic module univariate polynomial minimal polynomial of
    a real root.
  \item[AMUPNT]  Algebraic module univariate polynomial negative
    transformation.
  \item[AMUPRBH]  Algebraic module univariate polynomial root bound and
    homothetic transformation.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \item[AMUPRLS]  Algebraic module univariate polynomial real root list
    separation.
  \item[AMUPRRS]  Algebraic module univariate polynomial real root separation.
  \item[AMUPSR]  Algebraic module univariate polynomial, sign at a rational
    point.
  \item[AMUPTR]  Algebraic module univariate polynomial translation.
  \item[AMUPTR1]  Algebraic module univariate polynomial translation by 1.
  \item[AMUPVARIR]  Algebraic module univariate polynomial variations,
    interval refinement.
  \item[ANDWRITE]  Algebraic number decimal write.
  \item[ANFAF]  Algebraic number from algebraic number field element.
  \item[ANFAF]  Algebraic number from algebraic number field element.
  \item[ANIIPE]  Algebraic number isolating interval for a primitive element.
  \item[ANPROD]  Algebraic number product.
  \item[ANREPE]  Algebraic number represent element of a primitive extension.
  \item[ANSUM]  Algebraic number sum.
  \item[IPAFME]  Integral polynomial, algebraic number field multiple
    evaluation.
  \item[RPAFME]  Rational polynomial, algebraic number field multiple
    evaluation.
  \end{description}
\item[algorithm] \ \ 
  \begin{description}
  \item[AFPRCL]  Algebraic number field polynomial real root isolation,
    collins-loos algorithm.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[IDEGCD]  Integer doubly extended greatest common divisor algorithm.
  \item[IEGCD]  Integer extended greatest common divisor algorithm.
  \item[IPCRA]  Integral polynomial chinese remainder algorithm.
  \item[IPRICL]  Integral polynomial real root isolation, Collins-Loos
    algorithm.
  \item[IPRODK]  Integer product, karatsuba algorithm.
  \item[LDSMKB]  Linear diophantine system solution, modified Kannan and
    Bachem algorithm.
  \item[MAIPDE]  Matrix of integral polynomials determinant, exact division
    algorithm.
  \item[MAIPDM]  Matrix of integral polynomials determinant, modular
    algorithm.
  \item[MDCRA]  Modular digit chinese remainder algorithm.
  \item[MDLCRA]  Modular digit list chinese remainder algorithm.
  \item[MIDCRA]  Modular integer digit chinese remainder algorithm.
  \item[MMPDMA]  Matrix of modular polynomials determinant, modular algorithm.
  \item[MUPFBL]  Modular univariate polynomial factorization-berlekamp
    algorithm.
  \end{description}
\item[allocation] \ \ 
  \begin{description}
  \item[GCAMALLOC]  Garbage collected array memory allocation.
  \end{description}
\item[and] \ \ 
  \begin{description}
  \item[DAND]  Digit and.
  \end{description}
\item[arguments] \ \ 
  \begin{description}
  \item[ARGSACLIB]  Process the command line arguments.
  \end{description}
\item[arithmetic] \ \ 
  \begin{description}
  \item[AADV]  Arithmetic advance.
  \end{description}
\item[array] \ \ 
  \begin{description}
  \item[GCA2PTR]  Convert garbage collected array handle to C pointer.
  \item[GCAFREE]  Garbage collected array memory deallocation.
  \item[GCAGET]  Garbage collected array get element.
  \item[GCAMALLOC]  Garbage collected array memory allocation.
  \item[GCASET]  Garbage collected array set element.
  \end{description}
\item[assignment] \ \ 
  \begin{description}
  \item[ASSPR]  Assignment problem.
  \end{description}
\item[associate] \ \ 
  \begin{description}
  \item[RPMAIP]  Rational polynomial monic associate of integral polynomial.
  \end{description}
\item[atom] \ \ 
  \begin{description}
  \item[AREAD]  Atom read.
  \item[AWRITE]  Atom write.
  \item[ISATOM]  Test for atom.
  \end{description}
\item[augmentation] \ \ 
  \begin{description}
  \item[IPSFBA]  Integral polynomial squarefree basis augmentation.
  \end{description}
\item[bachem] \ \ 
  \begin{description}
  \item[LDSMKB]  Linear diophantine system solution, modified Kannan and
    Bachem algorithm.
  \end{description}
\item[backspace] \ \ 
  \begin{description}
  \item[BKSP]  Backspace.
  \end{description}
\item[base] \ \ 
  \begin{description}
  \item[DLOG2]  Digit logarithm, base 2.
  \item[IFCL2]  Integer, floor and ceiling, logarithm, base 2.
  \item[ILOG2]  Integer logarithm, base 2.
  \item[PFBRE]  Polynomial From Base Ring Element.
  \item[PLBCF]  Polynomial leading base coefficient.
  \item[PTBCF]  Polynomial trailing base coefficient.
  \item[RNFCL2]  Rational number floor and ceiling of logarithm, base 2.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \end{description}
\item[based] \ \ 
  \begin{description}
  \item[LDSSBR]  Linear diophantine system solution, based on Rosser ideas.
  \end{description}
\item[basis] \ \ 
  \begin{description}
  \item[AFPBRI]  Algebraic number field polynomial basis real root isolation.
  \item[AFUPBRI]  Algebraic number field univariate polynomial basis real root
    isolation.
  \item[IPCSFB]  Integral polynomial coarsest squarefree basis.
  \item[IPFSFB]  Integral polynomial finest squarefree basis.
  \item[IPSFBA]  Integral polynomial squarefree basis augmentation.
  \item[ISPSFB]  Integral squarefree polynomial squarefree basis.
  \item[MMDNSB]  Matrix of modular digits null-space basis.
  \end{description}
\item[begin] \ \ 
  \begin{description}
  \item[BEGINSACLIB]  Begin SACLIB.
  \end{description}
\item[berlekamp] \ \ 
  \begin{description}
  \item[MUPBQP]  Modular univariate polynomial berlekamp Q polynomials
    construction.
  \item[MUPFBL]  Modular univariate polynomial factorization-berlekamp
    algorithm.
  \end{description}
\item[beta] \ \ 
  \begin{description}
  \item[LBIBMS]  List of BETA-integers bubble-merge sort.
  \item[LBIBS]  List of BETA-integers bubble sort.
  \item[LBIM]  List of BETA-integers merge.
  \end{description}
\item[binary] \ \ 
  \begin{description}
  \item[AMUPBES]  Algebraic module univariate polynomial, binary rational
    evaluation of sign.
  \item[AMUPBHT]  Algebraic module univariate polynomial binary homothetic
    transformation.
  \item[IPBEILV]  Integral polynomial binary rational evaluation, integral
    polynomial result, leading variable.
  \item[IPBHT]  Integral polynomial binary homothetic transformation.
  \item[IPBHTLV]  Integral polynomial binary homothetic transformation,
    leading variable.
  \item[IPBHTMV]  Integral polynomial binary homothetic transformation, main
    variable.
  \item[IPBREI]  Integral polynomial binary rational evaluation, integral
    polynomial result.
  \item[IUPBEI]  Integral univariate polynomial binary rational evaluation,
    integer output.
  \item[IUPBES]  Integral univariate polynomial binary rational evaluation of
    sign.
  \item[IUPBHT]  Integral univariate polynomial binary homothetic
    transformation.
  \item[IUPBRE]  Integral univariate polynomial binary rational evaluation.
  \item[RNBCR]  Rational number binary common representation.
  \end{description}
\item[binomial] \ \ 
  \begin{description}
  \item[IBCIND]  Integer binomial coefficient induction.
  \item[IBCOEF]  Integer binomial coefficient.
  \item[IBCPS]  Integer binomial coefficient partial sum.
  \item[PBIN]  Polynomial binomial.
  \end{description}
\item[bisection] \ \ 
  \begin{description}
  \item[RIB]  Rational interval bisection.
  \end{description}
\item[bit] \ \ 
  \begin{description}
  \item[BITRAN]  Bit, random.
  \end{description}
\item[bound] \ \ 
  \begin{description}
  \item[AFUPRB]  Algebraic number field univariate polynomial root bound.
  \item[AMUPRBH]  Algebraic module univariate polynomial root bound and
    homothetic transformation.
  \item[IPFCB]  Integral polynomial factor coefficient bound.
  \item[IPGFCB]  Integral polynomial Gelfond factor coefficient bound.
  \item[IUPRB]  Integral univariate polynomial root bound.
  \end{description}
\item[bubble] \ \ 
  \begin{description}
  \item[LBIBMS]  List of BETA-integers bubble-merge sort.
  \item[LBIBS]  List of BETA-integers bubble sort.
  \end{description}
\item[c] \ \ 
  \begin{description}
  \item[GCA2PTR]  Convert garbage collected array handle to C pointer.
  \end{description}
\item[calculation] \ \ 
  \begin{description}
  \item[DPCC]  Digit partial cosequence calculation.
  \item[IPRCH]  Integral polynomial real root calculation, high precision.
  \item[IPRCHS]  Integral polynomial real root calculation, high-precision
    special.
  \item[IPRCN1]  Integral polynomial real root calculation, 1 root.
  \item[IPRCNP]  Integral polynomial real root calculation, Newton method
    preparation.
  \end{description}
\item[cartesian] \ \ 
  \begin{description}
  \item[CPLEXN]  Cartesian product, lexicographically next.
  \end{description}
\item[ceiling] \ \ 
  \begin{description}
  \item[IFCL2]  Integer, floor and ceiling, logarithm, base 2.
  \item[RNCEIL]  Rational number, ceiling of.
  \item[RNFCL2]  Rational number floor and ceiling of logarithm, base 2.
  \end{description}
\item[cell] \ \ 
  \begin{description}
  \item[LASTCELL]  Last cell.
  \end{description}
\item[character] \ \ 
  \begin{description}
  \item[CLOUT]  Character list out.
  \item[CREAD]  Character read.
  \item[CREADB]  Character read.
  \item[CWRITE]  Character write.
  \item[IPEXPREADR]  Integral polynomial expression read, remove terminating
    character.
  \item[LKAHEAD]  Character lookahead.
  \end{description}
\item[characteristic] \ \ 
  \begin{description}
  \item[CSFPAR]  Characteristic set from partition.
  \item[CSINT]  Characteristic set intersection.
  \item[CSSUB]  Characteristic set subset.
  \item[CSUN]  Characteristic set union.
  \item[SFCS]  Set from characteristic set.
  \end{description}
\item[chinese] \ \ 
  \begin{description}
  \item[IPCRA]  Integral polynomial chinese remainder algorithm.
  \item[MDCRA]  Modular digit chinese remainder algorithm.
  \item[MDLCRA]  Modular digit list chinese remainder algorithm.
  \item[MIDCRA]  Modular integer digit chinese remainder algorithm.
  \end{description}
\item[choice] \ \ 
  \begin{description}
  \item[IPCEVP]  Integral polynomial, choice of evaluation points.
  \end{description}
\item[circle] \ \ 
  \begin{description}
  \item[IPVCHT]  Integral polynomial variations after circle to half-plane
    transformation.
  \item[IUPCHT]  Integral univariate polynomial circle to half-plane
    transformation.
  \end{description}
\item[clock] \ \ 
  \begin{description}
  \item[ACLOCK]  Clock minus garbage collection time.
  \item[CLOCK]  Clock.
  \end{description}
\item[coarsest] \ \ 
  \begin{description}
  \item[IPCSFB]  Integral polynomial coarsest squarefree basis.
  \end{description}
\item[coefficient] \ \ 
  \begin{description}
  \item[AFUPRICS]  Algebraic univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \item[IBCIND]  Integer binomial coefficient induction.
  \item[IBCOEF]  Integer binomial coefficient.
  \item[IBCPS]  Integer binomial coefficient partial sum.
  \item[IPFCB]  Integral polynomial factor coefficient bound.
  \item[IPGFCB]  Integral polynomial Gelfond factor coefficient bound.
  \item[PCL]  Polynomial coefficient list.
  \item[PLBCF]  Polynomial leading base coefficient.
  \item[PLDCF]  Polynomial leading coefficient.
  \item[PTBCF]  Polynomial trailing base coefficient.
  \end{description}
\item[coefficients] \ \ 
  \begin{description}
  \item[IPPSC]  Integral polynomial principal subresultant coefficients.
  \item[MCPMV]  Matrix of coefficients of polynomials, with respect to main
    variable.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \end{description}
\item[cofactor] \ \ 
  \begin{description}
  \item[IUPRC]  Integral univariate polynomial resultant and cofactor.
  \item[MUPRC]  Modular univariate polynomial resultant and cofactor.
  \end{description}
\item[cofactors] \ \ 
  \begin{description}
  \item[AFUPGC]  Algebraic number field univariate polynomial greatest common
    divisor and cofactors.
  \item[IGCDCF]  Integer greatest common divisor and cofactors.
  \item[IPGCDC]  Integral polynomial greatest common divisor and cofactors.
  \item[MPGCDC]  Modular polynomial greatest common divisor and cofactors.
  \end{description}
\item[collected] \ \ 
  \begin{description}
  \item[GCA2PTR]  Convert garbage collected array handle to C pointer.
  \item[GCAFREE]  Garbage collected array memory deallocation.
  \item[GCAGET]  Garbage collected array get element.
  \item[GCAMALLOC]  Garbage collected array memory allocation.
  \item[GCASET]  Garbage collected array set element.
  \end{description}
\item[collection] \ \ 
  \begin{description}
  \item[ACLOCK]  Clock minus garbage collection time.
  \item[GC]  Garbage collection entry-point.
  \item[GCSI]  Garbage collection, system independent.
  \end{description}
\item[collector] \ \ 
  \begin{description}
  \item[GCGLOBAL]  Declare a global variable to the Garbage Collector.
  \end{description}
\item[collins] \ \ 
  \begin{description}
  \item[AFPRCL]  Algebraic number field polynomial real root isolation,
    collins-loos algorithm.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[IPRICL]  Integral polynomial real root isolation, Collins-Loos
    algorithm.
  \end{description}
\item[column] \ \ 
  \begin{description}
  \item[MICINS]  Matrix of integers column insertion.
  \item[MICS]  Matrix of integers column sort.
  \item[MINNCT]  Matrix of integers, non-negative column transformation.
  \end{description}
\item[combination] \ \ 
  \begin{description}
  \item[ILCOMB]  Integer linear combination.
  \item[VILCOM]  Vector of integers linear combination.
  \end{description}
\item[combine] \ \ 
  \begin{description}
  \item[IPFLC]  Integral polynomial factor list combine.
  \end{description}
\item[command] \ \ 
  \begin{description}
  \item[ARGSACLIB]  Process the command line arguments.
  \end{description}
\item[common] \ \ 
  \begin{description}
  \item[AFUPGC]  Algebraic number field univariate polynomial greatest common
    divisor and cofactors.
  \item[DEGCD]  Digit extended greatest common divisor.
  \item[DGCD]  Digit greatest common divisor.
  \item[IDEGCD]  Integer doubly extended greatest common divisor algorithm.
  \item[IEGCD]  Integer extended greatest common divisor algorithm.
  \item[IGCD]  Integer greatest common divisor.
  \item[IGCDCF]  Integer greatest common divisor and cofactors.
  \item[IHEGCD]  Integer half-extended greatest common divisor.
  \item[ILCM]  Integer least common multiple.
  \item[IPGCDC]  Integral polynomial greatest common divisor and cofactors.
  \item[MPGCDC]  Modular polynomial greatest common divisor and cofactors.
  \item[MUPEGC]  Modular univariate polynomial extended greatest common
    divisor.
  \item[MUPGCD]  Modular univariate polynomial greatest common divisor.
  \item[MUPHEG]  Modular univariate polynomial half-extended greatest common
    divisor.
  \item[RNBCR]  Rational number binary common representation.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \end{description}
\item[comparison] \ \ 
  \begin{description}
  \item[AFCOMP]  Algebraic number field comparison.
  \item[DVCMP]  Degree vector comparison.
  \item[ICOMP]  Integer comparison.
  \item[RILC]  Rational interval length comparison.
  \item[RNCOMP]  Rational number comparison.
  \item[VCOMP]  Vector comparison.
  \end{description}
\item[complex] \ \ 
  \begin{description}
  \item[SFCCON]  Single-precision floating-point complex conjugation.
  \item[SFCDIF]  Single-precision floating-point complex difference.
  \item[SFCFR]  Single-precision floating-point complex from real.
  \item[SFCIP]  Single-precision floating-point complex, imaginary part.
  \item[SFCMSQ]  Single-precision floating-point complex modulus squared.
  \item[SFCNEG]  Single-precision floating-point complex negation.
  \item[SFCPR]  Single-precision floating-point complex product.
  \item[SFCQ]  Single-precision floating-point complex quotient.
  \item[SFCRP]  Single-precision floating-point complex, real part.
  \item[SFCSUM]  Single-precision floating-point complex sum.
  \end{description}
\item[composition] \ \ 
  \begin{description}
  \item[AFPCMV]  Algebraic number field polynomial composition in main
    variable.
  \item[COMP]  Composition.
  \item[COMP2]  Composition 2.
  \item[COMP3]  Composition 3.
  \item[COMP4]  Composition 4.
  \end{description}
\item[concatenation] \ \ 
  \begin{description}
  \item[CCONC]  Constructive concatenation.
  \item[CONC]  Concatenation.
  \item[LCONC]  List concatenation.
  \end{description}
\item[conjugation] \ \ 
  \begin{description}
  \item[SFCCON]  Single-precision floating-point complex conjugation.
  \end{description}
\item[constant] \ \ 
  \begin{description}
  \item[IPCONST]  Integral polynomial constant.
  \item[PCONST]  Polynomial constant. PCPV Polynomial cyclic permutation of
    variables.
  \end{description}
\item[construction] \ \ 
  \begin{description}
  \item[MUPBQP]  Modular univariate polynomial berlekamp Q polynomials
    construction.
  \end{description}
\item[constructive] \ \ 
  \begin{description}
  \item[CCONC]  Constructive concatenation.
  \item[CINV]  Constructive inverse.
  \end{description}
\item[content] \ \ 
  \begin{description}
  \item[IPC]  Integral polynomial content.
  \item[IPCPP]  Integral polynomial content and primitive part.
  \item[IPIC]  Integral polynomial integer content.
  \item[IPICPP]  Integral polynomial integer content and primitive part.
  \item[IPICS]  Integral polynomial integer content subroutine.
  \item[IPSCPP]  Integral polynomial sign, content, and primitive part.
  \item[MPUC]  Modular polynomial univariate content.
  \item[MPUCPP]  Modular polynomial univariate content and primitive part.
  \item[MPUCS]  Modular polynomial univariate content subroutine.
  \end{description}
\item[contents] \ \ 
  \begin{description}
  \item[IPLCPP]  Integral polynomial list of contents and primitive parts.
  \end{description}
\item[conversion] \ \ 
  \begin{description}
  \item[IIC]  Isolating interval conversion.
  \end{description}
\item[convert] \ \ 
  \begin{description}
  \item[AFCR]  Algebraic number field element convert representation.
  \item[AFICR]  Algebraic number field element inverse convert representation.
  \item[AFPCR]  Algebraic number field polynomial convert representation.
  \item[AFPICR]  Algebraic number field polynomial inverse convert
    representation.
  \item[GCA2PTR]  Convert garbage collected array handle to C pointer.
  \end{description}
\item[cosequence] \ \ 
  \begin{description}
  \item[DPCC]  Digit partial cosequence calculation.
  \end{description}
\item[cyclic] \ \ 
  \begin{description}
  \item[PCONST]  Polynomial constant. PCPV Polynomial cyclic permutation of
    variables.
  \item[PERMCY]  Permutation, cyclic.
  \item[PFDP]  Polynomial from dense polynomial. PICPV Polynomial inverse
    cyclic permutation of variables.
  \end{description}
\item[deallocation] \ \ 
  \begin{description}
  \item[GCAFREE]  Garbage collected array memory deallocation.
  \end{description}
\item[decimal] \ \ 
  \begin{description}
  \item[AFDWRITE]  Algebraic number field, decimal write.
  \item[ANDWRITE]  Algebraic number decimal write.
  \item[RNDWRITE]  Rational number decimal write.
  \end{description}
\item[declare] \ \ 
  \begin{description}
  \item[GCGLOBAL]  Declare a global variable to the Garbage Collector.
  \end{description}
\item[decomposition] \ \ 
  \begin{description}
  \item[PSDSV]  Polynomial special decomposition, specified variable.
  \end{description}
\item[default] \ \ 
  \begin{description}
  \item[main]  Default main routine.
  \end{description}
\item[degree] \ \ 
  \begin{description}
  \item[DIPDEG]  Distributive polynomial degree.
  \item[DVCMP]  Degree vector comparison.
  \item[IUPFDS]  Integral univariate polynomial factor degree set.
  \item[MUPDDF]  Modular univariate polynomial distinct degree factorization.
  \item[PDEG]  Polynomial degree.
  \item[PDEGSV]  Polynomial degree, specified variable.
  \item[PDEGV]  Polynomial degree vector.
  \item[PMDEG]  Polynomial modified degree.
  \end{description}
\item[denominator] \ \ 
  \begin{description}
  \item[RNDEN]  Rational number denominator.
  \end{description}
\item[dense] \ \ 
  \begin{description}
  \item[DMPPRD]  Dense modular polynomial product.
  \item[DMPSUM]  Dense modular polynomial sum.
  \item[DMUPNR]  Dense modular univariate polynomial natural remainder.
  \item[DPFP]  Dense polynomial from polynomial.
  \item[PFDP]  Polynomial from dense polynomial. PICPV Polynomial inverse
    cyclic permutation of variables.
  \end{description}
\item[derivative] \ \ 
  \begin{description}
  \item[AFPDMV]  Algebraic number field polynomial derivative, main variable.
  \item[AMPDMV]  Algebraic module polynomial derivative, main variable.
  \item[IPDER]  Integral polynomial derivative.
  \item[IPDMV]  Integral polynomial derivative, main variable.
  \item[IPFSD]  Integral polynomial factorization, second derivative.
  \item[IPHDMV]  Integral polynomial higher derivative, main variable.
  \item[IPSFSD]  Integral squarefree factorization, second derivative.
  \item[MUPDER]  Modular univariate polynomial derivative.
  \item[RPDMV]  Rational polynomial derivative, main variable.
  \end{description}
\item[determinant] \ \ 
  \begin{description}
  \item[MAIPDE]  Matrix of integral polynomials determinant, exact division
    algorithm.
  \item[MAIPDM]  Matrix of integral polynomials determinant, modular
    algorithm.
  \item[MMDDET]  Matrix of modular digits determinant.
  \item[MMPDMA]  Matrix of modular polynomials determinant, modular algorithm.
  \end{description}
\item[difference] \ \ 
  \begin{description}
  \item[AFDIF]  Algebraic number field element difference.
  \item[AFPDIF]  Algebraic number field polynomial difference.
  \item[IDIF]  Integer difference.
  \item[IPDIF]  Integral polynomial difference.
  \item[MDDIF]  Modular digit difference.
  \item[MIDIF]  Modular integer difference.
  \item[MIPDIF]  Modular integral polynomial difference.
  \item[MPDIF]  Modular polynomial difference.
  \item[RNDIF]  Rational number difference.
  \item[RPDIF]  Rational polynomial difference.
  \item[SDIFF]  Set difference.
  \item[SFCDIF]  Single-precision floating-point complex difference.
  \item[SFRDIF]  Single-precision floating-point real difference.
  \item[USDIFF]  Unordered set difference.
  \item[VIDIF]  Vector of integers difference.
  \end{description}
\item[digit] \ \ 
  \begin{description}
  \item[DAND]  Digit and.
  \item[DEGCD]  Digit extended greatest common divisor.
  \item[DGCD]  Digit greatest common divisor.
  \item[DIGIT]  Digit.
  \item[DLOG2]  Digit logarithm, base 2.
  \item[DNIMP]  Digit non-implication.
  \item[DNOT]  Digit not.
  \item[DOR]  Digit or.
  \item[DPCC]  Digit partial cosequence calculation.
  \item[DPGEN]  Digit prime generator.
  \item[DPR]  Digit product.
  \item[DQR]  Digit quotient and remainder.
  \item[DRAN]  Digit, random.
  \item[DRANN]  Digit, random non-negative.
  \item[DSQRTF]  Digit square root function.
  \item[GDPGEN]  Gaussian digit prime generator.
  \item[IDIPR2]  Integer digit inner product, length 2.
  \item[IDPR]  Integer-digit product.
  \item[IDQ]  Integer-digit quotient.
  \item[IDQR]  Integer-digit quotient and remainder.
  \item[IDREM]  Integer-digit remainder.
  \item[MDCRA]  Modular digit chinese remainder algorithm.
  \item[MDDIF]  Modular digit difference.
  \item[MDEXP]  Modular digit exponentiation.
  \item[MDHOM]  Modular digit homomorphism.
  \item[MDINV]  Modular digit inverse.
  \item[MDLCRA]  Modular digit list chinese remainder algorithm.
  \item[MDNEG]  Modular digit negative.
  \item[MDPROD]  Modular digit product.
  \item[MDQ]  Modular digit quotient.
  \item[MDRAN]  Modular digit, random.
  \item[MDSUM]  Modular digit sum.
  \item[MIDCRA]  Modular integer digit chinese remainder algorithm.
  \item[MPMDP]  Modular polynomial modular digit product.
  \item[REM]  GAMMA-digit remainder.
  \end{description}
\item[digits] \ \ 
  \begin{description}
  \item[MMDDET]  Matrix of modular digits determinant.
  \item[MMDNSB]  Matrix of modular digits null-space basis.
  \end{description}
\item[diophantine] \ \ 
  \begin{description}
  \item[LDSMKB]  Linear diophantine system solution, modified Kannan and
    Bachem algorithm.
  \item[LDSSBR]  Linear diophantine system solution, based on Rosser ideas.
  \end{description}
\item[discriminant] \ \ 
  \begin{description}
  \item[IPDSCR]  Integral polynomial discriminant.
  \end{description}
\item[disjoint] \ \ 
  \begin{description}
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AMUPIIWS]  Algebraic module univariate polynomial isolating intervals
    weakly disjoint to strongly disjoint.
  \item[AMUPIIWS]  Algebraic module univariate polynomial isolating intervals
    weakly disjoint to strongly disjoint.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[IPIIWS]  Integral polynomial isolating intervals weakly disjoint to
    strongly disjoint.
  \item[IPIIWS]  Integral polynomial isolating intervals weakly disjoint to
    strongly disjoint.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \end{description}
\item[display] \ \ 
  \begin{description}
  \item[DIELOC]  Display Input Error Location.
  \end{description}
\item[distinct] \ \ 
  \begin{description}
  \item[MUPDDF]  Modular univariate polynomial distinct degree factorization.
  \item[SDR]  System of distinct representatives.
  \end{description}
\item[distributive] \ \ 
  \begin{description}
  \item[DIIPREAD]  Distributive integral polynomial read.
  \item[DIIPWRITE]  Distributive integral polynomial write.
  \item[DIPDEG]  Distributive polynomial degree.
  \item[DIPFP]  Distributive polynomial from polynomial.
  \item[DIPINS]  Distributive polynomial, insert term.
  \item[DIRPREAD]  Distributive rational polynomial read.
  \item[DIRPWRITE]  Distributive rational polynomial write.
  \item[IPDWRITE]  Integral Polynomial Distributive Write.
  \item[PFDIP]  Polynomial from distributive polynomial.
  \item[RPDWRITE]  Rational Polynomial Distributive Write.
  \end{description}
\item[divided] \ \ 
  \begin{description}
  \item[PDBORD]  Polynomial divided by order.
  \end{description}
\item[division] \ \ 
  \begin{description}
  \item[IDP2]  Integer division by power of 2.
  \item[MAIPDE]  Matrix of integral polynomials determinant, exact division
    algorithm.
  \item[PDPV]  Polynomial division by power of variable.
  \end{description}
\item[divisior] \ \ 
  \begin{description}
  \item[AFUPGS]  Algebraic number field polynomial greatest squarefree
    divisior.
  \end{description}
\item[divisor] \ \ 
  \begin{description}
  \item[AFUPGC]  Algebraic number field univariate polynomial greatest common
    divisor and cofactors.
  \item[DEGCD]  Digit extended greatest common divisor.
  \item[DGCD]  Digit greatest common divisor.
  \item[IDEGCD]  Integer doubly extended greatest common divisor algorithm.
  \item[IEGCD]  Integer extended greatest common divisor algorithm.
  \item[IGCD]  Integer greatest common divisor.
  \item[IGCDCF]  Integer greatest common divisor and cofactors.
  \item[IHEGCD]  Integer half-extended greatest common divisor.
  \item[ILPDS]  Integer large prime divisor search.
  \item[IMPDS]  Integer medium prime divisor search.
  \item[IPGCDC]  Integral polynomial greatest common divisor and cofactors.
  \item[IPPGSD]  Integral polynomial primitive greatest squarefree divisor.
  \item[MPGCDC]  Modular polynomial greatest common divisor and cofactors.
  \item[MUPEGC]  Modular univariate polynomial extended greatest common
    divisor.
  \item[MUPGCD]  Modular univariate polynomial greatest common divisor.
  \item[MUPHEG]  Modular univariate polynomial half-extended greatest common
    divisor.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \end{description}
\item[divisors] \ \ 
  \begin{description}
  \item[ISPD]  Integer small prime divisors.
  \end{description}
\item[double] \ \ 
  \begin{description}
  \item[ANPEDE]  [Algebraic number primitive element for a double extension.
  \end{description}
\item[doubly] \ \ 
  \begin{description}
  \item[IDEGCD]  Integer doubly extended greatest common divisor algorithm.
  \end{description}
\item[element] \ \ 
  \begin{description}
  \item[AFCR]  Algebraic number field element convert representation.
  \item[AFDIF]  Algebraic number field element difference.
  \item[AFFINT]  Algebraic number field element from integer.
  \item[AFFRN]  Algebraic number field element from rational number.
  \item[AFICR]  Algebraic number field element inverse convert representation.
  \item[AFINV]  Algebraic number field element inverse.
  \item[AFPAFP]  Algebraic number field polynomial algebraic number field
    element product.
  \item[AFPAFQ]  Algebraic number field polynomial algebraic number field
    element quotient.
  \item[AFPROD]  Algebraic number field element product.
  \item[AFSUM]  Algebraic number field element sum.
  \item[AFWRITE]  Algebraic field element write.
  \item[ANFAF]  Algebraic number from algebraic number field element.
  \item[ANIIPE]  Algebraic number isolating interval for a primitive element.
  \item[ANPEDE]  [Algebraic number primitive element for a double extension.
  \item[ANREPE]  Algebraic number represent element of a primitive extension.
  \item[GCAGET]  Garbage collected array get element.
  \item[GCASET]  Garbage collected array set element.
  \item[LEINST]  List element insertion.
  \item[LELTI]  List element.
  \item[LEROT]  List element rotation.
  \item[LIST1]  List, 1 element.
  \item[PFBRE]  Polynomial From Base Ring Element.
  \item[SFIRST]  Set first element.
  \item[SLELTI]  Set list element.
  \item[VIERED]  Vector of integers, element reduction.
  \end{description}
\item[elements] \ \ 
  \begin{description}
  \item[LIST10]  List, 10 elements.
  \item[LIST2]  List, 2 elements.
  \item[LIST3]  List, 3 elements.
  \item[LIST4]  List, 4 elements.
  \item[LIST5]  List, 5 elements.
  \end{description}
\item[empty] \ \ 
  \begin{description}
  \item[ISLIST]  Test for non-empty list.
  \item[ISNIL]  Test for empty list.
  \end{description}
\item[end] \ \ 
  \begin{description}
  \item[ENDSACLIB]  End saclib.
  \end{description}
\item[entry] \ \ 
  \begin{description}
  \item[GC]  Garbage collection entry-point.
  \end{description}
\item[equal] \ \ 
  \begin{description}
  \item[EQUAL]  Equal.
  \end{description}
\item[equality] \ \ 
  \begin{description}
  \item[SEQUAL]  Set equality.
  \end{description}
\item[equation] \ \ 
  \begin{description}
  \item[MIPISE]  Modular integral polynomial mod ideal, solution of equation.
  \item[MIUPSE]  Modular integral univariate polynomial, solution of equation.
  \end{description}
\item[error] \ \ 
  \begin{description}
  \item[DIELOC]  Display Input Error Location.
  \end{description}
\item[evaluation] \ \ 
  \begin{description}
  \item[AFPEMV]  Algebraic number field polynomial evaluation of main
    variable.
  \item[AFPEV]  Algebraic number field polynomial evaluation.
  \item[AFPME]  Algebraic number field polynomial multiple evaluation.
  \item[AMUPBES]  Algebraic module univariate polynomial, binary rational
    evaluation of sign.
  \item[IPAFME]  Integral polynomial, algebraic number field multiple
    evaluation.
  \item[IPBEILV]  Integral polynomial binary rational evaluation, integral
    polynomial result, leading variable.
  \item[IPBREI]  Integral polynomial binary rational evaluation, integral
    polynomial result.
  \item[IPCEVP]  Integral polynomial, choice of evaluation points.
  \item[IPEMV]  Integral polynomial evaluation of main variable.
  \item[IPEVAL]  Integral polynomial evaluation.
  \item[IUPBEI]  Integral univariate polynomial binary rational evaluation,
    integer output.
  \item[IUPBES]  Integral univariate polynomial binary rational evaluation of
    sign.
  \item[IUPBRE]  Integral univariate polynomial binary rational evaluation.
  \item[MMPEV]  Matrix of modular polynomials evaluation.
  \item[MPEMV]  Modular polynomial evaluation of main variable.
  \item[MPEVAL]  Modular polynomial evaluation.
  \item[RPAFME]  Rational polynomial, algebraic number field multiple
    evaluation.
  \item[RPEMV]  Rational polynomial evaluation, main variable.
  \end{description}
\item[even] \ \ 
  \begin{description}
  \item[EVEN]  EVEN.
  \item[IEVEN]  Integer even.
  \end{description}
\item[exact] \ \ 
  \begin{description}
  \item[MAIPDE]  Matrix of integral polynomials determinant, exact division
    algorithm.
  \end{description}
\item[exponential] \ \ 
  \begin{description}
  \item[EXPF]  Exponential function.
  \end{description}
\item[exponentiation] \ \ 
  \begin{description}
  \item[IEXP]  Integer exponentiation.
  \item[IPEXP]  Integral polynomial exponentiation.
  \item[MDEXP]  Modular digit exponentiation.
  \item[MIEXP]  Modular integer exponentiation.
  \item[MPEXP]  Modular polynomial exponentiation.
  \end{description}
\item[expression] \ \ 
  \begin{description}
  \item[IPEXPREAD]  Integral polynomial expression read.
  \item[IPEXPREADR]  Integral polynomial expression read, remove terminating
    character.
  \item[RPEXPREAD]  Rational polynomial expression read.
  \end{description}
\item[extended] \ \ 
  \begin{description}
  \item[DEGCD]  Digit extended greatest common divisor.
  \item[IDEGCD]  Integer doubly extended greatest common divisor algorithm.
  \item[IEGCD]  Integer extended greatest common divisor algorithm.
  \item[IHEGCD]  Integer half-extended greatest common divisor.
  \item[MUPEGC]  Modular univariate polynomial extended greatest common
    divisor.
  \item[MUPHEG]  Modular univariate polynomial half-extended greatest common
    divisor.
  \end{description}
\item[extension] \ \ 
  \begin{description}
  \item[ANPEDE]  [Algebraic number primitive element for a double extension.
  \item[ANREPE]  Algebraic number represent element of a primitive extension.
  \end{description}
\item[extent] \ \ 
  \begin{description}
  \item[EXTENT]  Extent.
  \end{description}
\item[factor] \ \ 
  \begin{description}
  \item[IPFACTREAD]  Integral polynomial factor read.
  \item[IPFCB]  Integral polynomial factor coefficient bound.
  \item[IPFLC]  Integral polynomial factor list combine.
  \item[IPGFCB]  Integral polynomial Gelfond factor coefficient bound.
  \item[IUPFDS]  Integral univariate polynomial factor degree set.
  \item[RPFACTREAD]  Rational polynomial factor read.
  \end{description}
\item[factorial] \ \ 
  \begin{description}
  \item[IFACTL]  Integer factorial.
  \end{description}
\item[factorization] \ \ 
  \begin{description}
  \item[AFUPFAC]  Algebraic number field univariate polynomial factorization.
  \item[AFUPSF]  Algebraic number field univariate polynomial squarefree
    factorization.
  \item[IFACT]  Integer factorization.
  \item[IPFAC]  Integral polynomial factorization.
  \item[IPFSD]  Integral polynomial factorization, second derivative.
  \item[IPSF]  Integral polynomial squarefree factorization.
  \item[IPSFSD]  Integral squarefree factorization, second derivative.
  \item[ISFPF]  Integral squarefree polynomial factorization.
  \item[IUPFAC]  Integral univariate polynomial factorization.
  \item[IUSFPF]  Integral univariate squarefree polynomial factorization.
  \item[MUPDDF]  Modular univariate polynomial distinct degree factorization.
  \item[MUPFBL]  Modular univariate polynomial factorization-berlekamp
    algorithm.
  \item[MUPFS]  Modular univariate polynomial factorization, special.
  \item[MUPSFF]  Modular univariate polynomial squarefree factorization.
  \end{description}
\item[failure] \ \ 
  \begin{description}
  \item[FAIL]  Failure handler.
  \end{description}
\item[fermat] \ \ 
  \begin{description}
  \item[FRESL]  Fermat residue list.
  \item[FRLSM]  Fermat residue list, single modulus.
  \end{description}
\item[field] \ \ 
  \begin{description}
  \item[AFCOMP]  Algebraic number field comparison.
  \item[AFCR]  Algebraic number field element convert representation.
  \item[AFDIF]  Algebraic number field element difference.
  \item[AFDWRITE]  Algebraic number field, decimal write.
  \item[AFFINT]  Algebraic number field element from integer.
  \item[AFFRN]  Algebraic number field element from rational number.
  \item[AFICR]  Algebraic number field element inverse convert representation.
  \item[AFINV]  Algebraic number field element inverse.
  \item[AFNEG]  Algebraic number field negative.
  \item[AFPAFP]  Algebraic number field polynomial algebraic number field
    element product.
  \item[AFPAFP]  Algebraic number field polynomial algebraic number field
    element product.
  \item[AFPAFQ]  Algebraic number field polynomial algebraic number field
    element quotient.
  \item[AFPAFQ]  Algebraic number field polynomial algebraic number field
    element quotient.
  \item[AFPBRI]  Algebraic number field polynomial basis real root isolation.
  \item[AFPCMV]  Algebraic number field polynomial composition in main
    variable.
  \item[AFPCR]  Algebraic number field polynomial convert representation.
  \item[AFPDIF]  Algebraic number field polynomial difference.
  \item[AFPDMV]  Algebraic number field polynomial derivative, main variable.
  \item[AFPEMV]  Algebraic number field polynomial evaluation of main
    variable.
  \item[AFPEV]  Algebraic number field polynomial evaluation.
  \item[AFPFIP]  Algebraic number field polynomial from integral polynomial.
  \item[AFPFRP]  Algebraic number field polynomial from rational polynomial.
  \item[AFPICR]  Algebraic number field polynomial inverse convert
    representation.
  \item[AFPINT]  Algebraic number field polynomial integration.
  \item[AFPME]  Algebraic number field polynomial multiple evaluation.
  \item[AFPMON]  Algebraic number field polynomial monic.
  \item[AFPNEG]  Algebraic number field polynomial negative.
  \item[AFPNIP]  Algebraic number field polynomial normalize to integral
    polynomial.
  \item[AFPNORM]  Algebraic number field polynomial norm.
  \item[AFPPR]  Algebraic number field polynomial product.
  \item[AFPQR]  Algebraic number field polynomial quotient and remainder.
  \item[AFPRCL]  Algebraic number field polynomial real root isolation,
    collins-loos algorithm.
  \item[AFPRII]  Algebraic number field polynomial real root isolation
    induction.
  \item[AFPRLS]  Algebraic number field polynomial real root list separation.
  \item[AFPROD]  Algebraic number field element product.
  \item[AFPRRI]  Algebraic number field polynomial relative real root
    isolation.
  \item[AFPRRS]  Algebraic number field polynomial real root separation.
  \item[AFPSUM]  Algebraic number field polynomial sum.
  \item[AFPWRITE]  Algebraic number field polynomial write.
  \item[AFQ]  Algebraic number field quotient.
  \item[AFSIGN]  Algebraic number field sign.
  \item[AFSUM]  Algebraic number field element sum.
  \item[AFUPBRI]  Algebraic number field univariate polynomial basis real root
    isolation.
  \item[AFUPFAC]  Algebraic number field univariate polynomial factorization.
  \item[AFUPGC]  Algebraic number field univariate polynomial greatest common
    divisor and cofactors.
  \item[AFUPGS]  Algebraic number field polynomial greatest squarefree
    divisior.
  \item[AFUPIIR]  Algebraic number field polynomial isolating interval
    refinement.
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AFUPMPR]  Algebraic number field univariate polynomial minimal
    polynomial of a real root.
  \item[AFUPRB]  Algebraic number field univariate polynomial root bound.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[AFUPRII]  Algebraic number field univariate polynomial real root
    isolation induction.
  \item[AFUPRL]  Algebraic number field univariate polynomial, root of a
    linear polynomial.
  \item[AFUPRLS]  Algebraic number field univariate polynomial real root list
    separation.
  \item[AFUPRRI]  Algebraic number field univariate polynomial relative real
    root isolation.
  \item[AFUPRRS]  Algebraic number field univariate polynomial real root
    separation.
  \item[AFUPSF]  Algebraic number field univariate polynomial squarefree
    factorization.
  \item[AFUPSFN]  Algebraic number field univariate polynomial squarefree
    norm.
  \item[AFUPSR]  Algebraic number field univariate polynomial, sign at a
    rational point.
  \item[AFUPVAR]  Algebraic number field univariate polynomial variations.
  \item[AFUPWRITE]  Algebraic number field univariate polynomial write.
  \item[AFWRITE]  Algebraic field element write.
  \item[AMPSAFP]  Algebraic module polynomial similar to algebraic field
    polynomial.
  \item[ANFAF]  Algebraic number from algebraic number field element.
  \item[IPAFME]  Integral polynomial, algebraic number field multiple
    evaluation.
  \item[RPAFME]  Rational polynomial, algebraic number field multiple
    evaluation.
  \end{description}
\item[finest] \ \ 
  \begin{description}
  \item[IPFSFB]  Integral polynomial finest squarefree basis.
  \end{description}
\item[first] \ \ 
  \begin{description}
  \item[FIRST]  First.
  \item[FIRST2]  First 2.
  \item[FIRST3]  First 3.
  \item[FIRST4]  First 4.
  \item[SFIRST]  Set first element.
  \end{description}
\item[floating] \ \ 
  \begin{description}
  \item[SFCCON]  Single-precision floating-point complex conjugation.
  \item[SFCDIF]  Single-precision floating-point complex difference.
  \item[SFCFR]  Single-precision floating-point complex from real.
  \item[SFCIP]  Single-precision floating-point complex, imaginary part.
  \item[SFCMSQ]  Single-precision floating-point complex modulus squared.
  \item[SFCNEG]  Single-precision floating-point complex negation.
  \item[SFCPR]  Single-precision floating-point complex product.
  \item[SFCQ]  Single-precision floating-point complex quotient.
  \item[SFCRP]  Single-precision floating-point complex, real part.
  \item[SFCSUM]  Single-precision floating-point complex sum.
  \item[SFIFI]  Single-precision floating-point interval from integer.
  \item[SFRABS]  Single-precision floating-point real absolute value.
  \item[SFRDIF]  Single-precision floating-point real difference.
  \item[SFRLS]  Single-precision floating-point real number lower sum.
  \item[SFRNEG]  Single-precision floating-point real negation.
  \item[SFRPR]  Single-precision floating-point real product.
  \item[SFRQ]  Single-precision floating-point real quotient.
  \item[SFRSUM]  Single-precision floating-point real sum.
  \end{description}
\item[floor] \ \ 
  \begin{description}
  \item[IFCL2]  Integer, floor and ceiling, logarithm, base 2.
  \item[RNFCL2]  Rational number floor and ceiling of logarithm, base 2.
  \item[RNFLOR]  Rational number, floor of.
  \end{description}
\item[flush] \ \ 
  \begin{description}
  \item[FILINE]  Flush the input stream line.
  \end{description}
\item[fourth] \ \ 
  \begin{description}
  \item[FOURTH]  Fourth.
  \end{description}
\item[from] \ \ 
  \begin{description}
  \item[AFFINT]  Algebraic number field element from integer.
  \item[AFFRN]  Algebraic number field element from rational number.
  \item[AFPFIP]  Algebraic number field polynomial from integral polynomial.
  \item[AFPFRP]  Algebraic number field polynomial from rational polynomial.
  \item[AIFAN]  Algebraic integer from algebraic number.
  \item[ANFAF]  Algebraic number from algebraic number field element.
  \item[CSFPAR]  Characteristic set from partition.
  \item[DIPFP]  Distributive polynomial from polynomial.
  \item[DPFP]  Dense polynomial from polynomial.
  \item[IPFRP]  Integral polynomial from rational polynomial.
  \item[IPSIFI]  Integral polynomial standard isolating interval from
    isolating interval.
  \item[LFS]  List from String.
  \item[MIPFSM]  Modular integral polynomial from symmetric modular.
  \item[PFBRE]  Polynomial From Base Ring Element.
  \item[PFDIP]  Polynomial from distributive polynomial.
  \item[PFDP]  Polynomial from dense polynomial. PICPV Polynomial inverse
    cyclic permutation of variables.
  \item[PUFP]  Polynomial, univariate, from polynomial.
  \item[RNINT]  Rational number from integer.
  \item[RPFIP]  Rational polynomial from integral polynomial.
  \item[SFCFR]  Single-precision floating-point complex from real.
  \item[SFCS]  Set from characteristic set.
  \item[SFIFI]  Single-precision floating-point interval from integer.
  \item[SMFMI]  Symmetric modular from modular integer.
  \item[SMFMIP]  Symmetric modular from modular integral polynomial.
  \end{description}
\item[function] \ \ 
  \begin{description}
  \item[DSQRTF]  Digit square root function.
  \item[EXPF]  Exponential function.
  \item[IABSF]  Integer absolute value function.
  \item[ISIGNF]  Integer sign function.
  \end{description}
\item[gamma] \ \ 
  \begin{description}
  \item[GREAD]  Gamma-integer read.
  \item[GWRITE]  Gamma-integer write.
  \item[REM]  GAMMA-digit remainder.
  \end{description}
\item[garbage] \ \ 
  \begin{description}
  \item[ACLOCK]  Clock minus garbage collection time.
  \item[GC]  Garbage collection entry-point.
  \item[GCA2PTR]  Convert garbage collected array handle to C pointer.
  \item[GCAFREE]  Garbage collected array memory deallocation.
  \item[GCAGET]  Garbage collected array get element.
  \item[GCAMALLOC]  Garbage collected array memory allocation.
  \item[GCASET]  Garbage collected array set element.
  \item[GCGLOBAL]  Declare a global variable to the Garbage Collector.
  \item[GCSI]  Garbage collection, system independent.
  \end{description}
\item[gaussian] \ \ 
  \begin{description}
  \item[GDPGEN]  Gaussian digit prime generator.
  \end{description}
\item[gca] \ \ 
  \begin{description}
  \item[ISGCA]  Test for GCA handle.
  \end{description}
\item[gelfond] \ \ 
  \begin{description}
  \item[IPGFCB]  Integral polynomial Gelfond factor coefficient bound.
  \end{description}
\item[general] \ \ 
  \begin{description}
  \item[IPGSUB]  Integral polynomial general substitution.
  \end{description}
\item[generator] \ \ 
  \begin{description}
  \item[DPGEN]  Digit prime generator.
  \item[GDPGEN]  Gaussian digit prime generator.
  \end{description}
\item[get] \ \ 
  \begin{description}
  \item[GCAGET]  Garbage collected array get element.
  \end{description}
\item[global] \ \ 
  \begin{description}
  \item[GCGLOBAL]  Declare a global variable to the Garbage Collector.
  \end{description}
\item[greatest] \ \ 
  \begin{description}
  \item[AFUPGC]  Algebraic number field univariate polynomial greatest common
    divisor and cofactors.
  \item[AFUPGS]  Algebraic number field polynomial greatest squarefree
    divisior.
  \item[DEGCD]  Digit extended greatest common divisor.
  \item[DGCD]  Digit greatest common divisor.
  \item[IDEGCD]  Integer doubly extended greatest common divisor algorithm.
  \item[IEGCD]  Integer extended greatest common divisor algorithm.
  \item[IGCD]  Integer greatest common divisor.
  \item[IGCDCF]  Integer greatest common divisor and cofactors.
  \item[IHEGCD]  Integer half-extended greatest common divisor.
  \item[IPGCDC]  Integral polynomial greatest common divisor and cofactors.
  \item[IPPGSD]  Integral polynomial primitive greatest squarefree divisor.
  \item[MPGCDC]  Modular polynomial greatest common divisor and cofactors.
  \item[MUPEGC]  Modular univariate polynomial extended greatest common
    divisor.
  \item[MUPGCD]  Modular univariate polynomial greatest common divisor.
  \item[MUPHEG]  Modular univariate polynomial half-extended greatest common
    divisor.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \end{description}
\item[half] \ \ 
  \begin{description}
  \item[IHEGCD]  Integer half-extended greatest common divisor.
  \item[IPVCHT]  Integral polynomial variations after circle to half-plane
    transformation.
  \item[IUPCHT]  Integral univariate polynomial circle to half-plane
    transformation.
  \item[MUPHEG]  Modular univariate polynomial half-extended greatest common
    divisor.
  \end{description}
\item[handle] \ \ 
  \begin{description}
  \item[GCA2PTR]  Convert garbage collected array handle to C pointer.
  \item[ISGCA]  Test for GCA handle.
  \end{description}
\item[handler] \ \ 
  \begin{description}
  \item[FAIL]  Failure handler.
  \end{description}
\item[hensel] \ \ 
  \begin{description}
  \item[IPIQH]  Integral polynomial mod ideal quadratic hensel lemma.
  \item[IUPQH]  Integral univariate polynomial quadratic hensel lemma.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[MPIQH]  Modular polynomial mod ideal, quadratic Hensel lemma.
  \item[MPIQHL]  Modular polynomial mod ideal quadratic hensel lemma, list.
  \item[MPIQHS]  Modular polynomial mod ideal, quadratic Hensel lemma on a
    single variable.
  \end{description}
\item[high] \ \ 
  \begin{description}
  \item[IPRCH]  Integral polynomial real root calculation, high precision.
  \item[IPRCHS]  Integral polynomial real root calculation, high-precision
    special.
  \end{description}
\item[higher] \ \ 
  \begin{description}
  \item[IPHDMV]  Integral polynomial higher derivative, main variable.
  \end{description}
\item[homomorphism] \ \ 
  \begin{description}
  \item[IPIHOM]  Integral polynomial mod ideal homomorphism.
  \item[MAIPHM]  Matrix of integral polynomials homomorphism.
  \item[MDHOM]  Modular digit homomorphism.
  \item[MIHOM]  Modular integer homomorphism.
  \item[MIPHOM]  Modular integral polynomial homomorphism.
  \item[MPHOM]  Modular polynomial homomorphism.
  \end{description}
\item[homothetic] \ \ 
  \begin{description}
  \item[AMUPBHT]  Algebraic module univariate polynomial binary homothetic
    transformation.
  \item[AMUPRBH]  Algebraic module univariate polynomial root bound and
    homothetic transformation.
  \item[IPBHT]  Integral polynomial binary homothetic transformation.
  \item[IPBHTLV]  Integral polynomial binary homothetic transformation,
    leading variable.
  \item[IPBHTMV]  Integral polynomial binary homothetic transformation, main
    variable.
  \item[IUPBHT]  Integral univariate polynomial binary homothetic
    transformation.
  \item[IUPIHT]  Integral univariate polynomial integer homothetic
    transformation.
  \end{description}
\item[ideal] \ \ 
  \begin{description}
  \item[IPIHOM]  Integral polynomial mod ideal homomorphism.
  \item[IPIPR]  Integral polynomial mod ideal product.
  \item[IPIQH]  Integral polynomial mod ideal quadratic hensel lemma.
  \item[MIPIPR]  Modular integral polynomial mod ideal product.
  \item[MIPISE]  Modular integral polynomial mod ideal, solution of equation.
  \item[MMPIQR]  Modular monic polynomial mod ideal quotient and remainder.
  \item[MPIQH]  Modular polynomial mod ideal, quadratic Hensel lemma.
  \item[MPIQHL]  Modular polynomial mod ideal quadratic hensel lemma, list.
  \item[MPIQHS]  Modular polynomial mod ideal, quadratic Hensel lemma on a
    single variable.
  \end{description}
\item[ideas] \ \ 
  \begin{description}
  \item[LDSSBR]  Linear diophantine system solution, based on Rosser ideas.
  \end{description}
\item[identity] \ \ 
  \begin{description}
  \item[MIAIM]  Matrix of integers, adjoin identity matrix.
  \end{description}
\item[imaginary] \ \ 
  \begin{description}
  \item[SFCIP]  Single-precision floating-point complex, imaginary part.
  \end{description}
\item[implication] \ \ 
  \begin{description}
  \item[DNIMP]  Digit non-implication.
  \end{description}
\item[in] \ \ 
  \begin{description}
  \item[AFPCMV]  Algebraic number field polynomial composition in main
    variable.
  \end{description}
\item[independent] \ \ 
  \begin{description}
  \item[GCSI]  Garbage collection, system independent.
  \end{description}
\item[induction] \ \ 
  \begin{description}
  \item[AFPRII]  Algebraic number field polynomial real root isolation
    induction.
  \item[AFUPRII]  Algebraic number field univariate polynomial real root
    isolation induction.
  \item[IBCIND]  Integer binomial coefficient induction.
  \item[IPRRII]  Integral polynomial real root isolation induction.
  \end{description}
\item[information] \ \ 
  \begin{description}
  \item[INFOSACLIB]  Write out usage information for SACLIB.
  \end{description}
\item[inner] \ \ 
  \begin{description}
  \item[IDIPR2]  Integer digit inner product, length 2.
  \item[VMPIP]  Vector of modular polynomial inner product.
  \end{description}
\item[input] \ \ 
  \begin{description}
  \item[DIELOC]  Display Input Error Location.
  \item[FILINE]  Flush the input stream line.
  \end{description}
\item[insert] \ \ 
  \begin{description}
  \item[DIPINS]  Distributive polynomial, insert term.
  \end{description}
\item[insertion] \ \ 
  \begin{description}
  \item[LEINST]  List element insertion.
  \item[LINS]  List insertion.
  \item[LINSRT]  List insertion.
  \item[MICINS]  Matrix of integers column insertion.
  \end{description}
\item[integer] \ \ 
  \begin{description}
  \item[AFFINT]  Algebraic number field element from integer.
  \item[AIFAN]  Algebraic integer from algebraic number.
  \item[GREAD]  Gamma-integer read.
  \item[GWRITE]  Gamma-integer write.
  \item[IABSF]  Integer absolute value function.
  \item[IBCIND]  Integer binomial coefficient induction.
  \item[IBCOEF]  Integer binomial coefficient.
  \item[IBCPS]  Integer binomial coefficient partial sum.
  \item[ICOMP]  Integer comparison.
  \item[IDEGCD]  Integer doubly extended greatest common divisor algorithm.
  \item[IDIF]  Integer difference.
  \item[IDIPR2]  Integer digit inner product, length 2.
  \item[IDP2]  Integer division by power of 2.
  \item[IDPR]  Integer-digit product.
  \item[IDQ]  Integer-digit quotient.
  \item[IDQR]  Integer-digit quotient and remainder.
  \item[IDREM]  Integer-digit remainder.
  \item[IEGCD]  Integer extended greatest common divisor algorithm.
  \item[IEVEN]  Integer even.
  \item[IEXP]  Integer exponentiation.
  \item[IFACT]  Integer factorization.
  \item[IFACTL]  Integer factorial.
  \item[IFCL2]  Integer, floor and ceiling, logarithm, base 2.
  \item[IGCD]  Integer greatest common divisor.
  \item[IGCDCF]  Integer greatest common divisor and cofactors.
  \item[IHEGCD]  Integer half-extended greatest common divisor.
  \item[ILCM]  Integer least common multiple.
  \item[ILCOMB]  Integer linear combination.
  \item[ILOG2]  Integer logarithm, base 2.
  \item[ILPDS]  Integer large prime divisor search.
  \item[ILWRITE]  Integer list write.
  \item[IMAX]  Integer maximum.
  \item[IMIN]  Integer minimum.
  \item[IMP2]  Integer multiplication by power of 2.
  \item[IMPDS]  Integer medium prime divisor search.
  \item[INEG]  Integer negation.
  \item[IODD]  Integer odd.
  \item[IORD2]  Integer, order of 2.
  \item[IPIC]  Integral polynomial integer content.
  \item[IPICPP]  Integral polynomial integer content and primitive part.
  \item[IPICS]  Integral polynomial integer content subroutine.
  \item[IPIP]  Integral polynomial integer product.
  \item[IPIPP]  Integral polynomial integer primitive part.
  \item[IPIQ]  Integral polynomial integer quotient.
  \item[IPOWER]  Integer power.
  \item[IPROD]  Integer product.
  \item[IPRODK]  Integer product, karatsuba algorithm.
  \item[IQ]  Integer quotient.
  \item[IQR]  Integer quotient and remainder.
  \item[IRAND]  Integer, random.
  \item[IREAD]  Integer read.
  \item[IREM]  Integer remainder.
  \item[IROOT]  Integer root.
  \item[ISEG]  Integer segmentation.
  \item[ISIGNF]  Integer sign function.
  \item[ISPD]  Integer small prime divisors.
  \item[ISPT]  Integer selfridge primality test.
  \item[ISQRT]  Integer square root.
  \item[ISSUM]  Integer shifted sum.
  \item[ISUM]  Integer sum.
  \item[ITRUNC]  Integer truncation.
  \item[IUPBEI]  Integral univariate polynomial binary rational evaluation,
    integer output.
  \item[IUPIHT]  Integral univariate polynomial integer homothetic
    transformation.
  \item[IWRITE]  Integer write.
  \item[MIDCRA]  Modular integer digit chinese remainder algorithm.
  \item[MIDIF]  Modular integer difference.
  \item[MIEXP]  Modular integer exponentiation.
  \item[MIHOM]  Modular integer homomorphism.
  \item[MIINV]  Modular integer inverse.
  \item[MINEG]  Modular integer negation.
  \item[MIPROD]  Modular integer product.
  \item[MIQ]  Modular integer quotient.
  \item[MIRAN]  Modular integer, random.
  \item[MISUM]  Modular integer sum.
  \item[RNINT]  Rational number from integer.
  \item[SFIFI]  Single-precision floating-point interval from integer.
  \item[SMFMI]  Symmetric modular from modular integer.
  \end{description}
\item[integers] \ \ 
  \begin{description}
  \item[LBIBMS]  List of BETA-integers bubble-merge sort.
  \item[LBIBS]  List of BETA-integers bubble sort.
  \item[LBIM]  List of BETA-integers merge.
  \item[MIAIM]  Matrix of integers, adjoin identity matrix.
  \item[MICINS]  Matrix of integers column insertion.
  \item[MICS]  Matrix of integers column sort.
  \item[MINNCT]  Matrix of integers, non-negative column transformation.
  \item[VIAZ]  Vector of integers, adjoin zeros.
  \item[VIDIF]  Vector of integers difference.
  \item[VIERED]  Vector of integers, element reduction.
  \item[VILCOM]  Vector of integers linear combination.
  \item[VINEG]  Vector of integers negation.
  \item[VISPR]  Vector of integers scalar product.
  \item[VISUM]  Vector of integers sum.
  \item[VIUT]  Vector of integers, unimodular transformation.
  \end{description}
\item[integral] \ \ 
  \begin{description}
  \item[AFPFIP]  Algebraic number field polynomial from integral polynomial.
  \item[AFPNIP]  Algebraic number field polynomial normalize to integral
    polynomial.
  \item[DIIPREAD]  Distributive integral polynomial read.
  \item[DIIPWRITE]  Distributive integral polynomial write.
  \item[IPABS]  Integral polynomial absolute value.
  \item[IPAFME]  Integral polynomial, algebraic number field multiple
    evaluation.
  \item[IPBEILV]  Integral polynomial binary rational evaluation, integral
    polynomial result, leading variable.
  \item[IPBEILV]  Integral polynomial binary rational evaluation, integral
    polynomial result, leading variable.
  \item[IPBHT]  Integral polynomial binary homothetic transformation.
  \item[IPBHTLV]  Integral polynomial binary homothetic transformation,
    leading variable.
  \item[IPBHTMV]  Integral polynomial binary homothetic transformation, main
    variable.
  \item[IPBREI]  Integral polynomial binary rational evaluation, integral
    polynomial result.
  \item[IPBREI]  Integral polynomial binary rational evaluation, integral
    polynomial result.
  \item[IPC]  Integral polynomial content.
  \item[IPCEVP]  Integral polynomial, choice of evaluation points.
  \item[IPCONST]  Integral polynomial constant.
  \item[IPCPP]  Integral polynomial content and primitive part.
  \item[IPCRA]  Integral polynomial chinese remainder algorithm.
  \item[IPCSFB]  Integral polynomial coarsest squarefree basis.
  \item[IPDER]  Integral polynomial derivative.
  \item[IPDIF]  Integral polynomial difference.
  \item[IPDMV]  Integral polynomial derivative, main variable.
  \item[IPDSCR]  Integral polynomial discriminant.
  \item[IPDWRITE]  Integral Polynomial Distributive Write.
  \item[IPEMV]  Integral polynomial evaluation of main variable.
  \item[IPEVAL]  Integral polynomial evaluation.
  \item[IPEXP]  Integral polynomial exponentiation.
  \item[IPEXPREAD]  Integral polynomial expression read.
  \item[IPEXPREADR]  Integral polynomial expression read, remove terminating
    character.
  \item[IPFAC]  Integral polynomial factorization.
  \item[IPFACTREAD]  Integral polynomial factor read.
  \item[IPFCB]  Integral polynomial factor coefficient bound.
  \item[IPFLC]  Integral polynomial factor list combine.
  \item[IPFRP]  Integral polynomial from rational polynomial.
  \item[IPFSD]  Integral polynomial factorization, second derivative.
  \item[IPFSFB]  Integral polynomial finest squarefree basis.
  \item[IPGCDC]  Integral polynomial greatest common divisor and cofactors.
  \item[IPGFCB]  Integral polynomial Gelfond factor coefficient bound.
  \item[IPGSUB]  Integral polynomial general substitution.
  \item[IPHDMV]  Integral polynomial higher derivative, main variable.
  \item[IPIC]  Integral polynomial integer content.
  \item[IPICPP]  Integral polynomial integer content and primitive part.
  \item[IPICS]  Integral polynomial integer content subroutine.
  \item[IPIHOM]  Integral polynomial mod ideal homomorphism.
  \item[IPIIWS]  Integral polynomial isolating intervals weakly disjoint to
    strongly disjoint.
  \item[IPINT]  Integral polynomial integration.
  \item[IPIP]  Integral polynomial integer product.
  \item[IPIPP]  Integral polynomial integer primitive part.
  \item[IPIPR]  Integral polynomial mod ideal product.
  \item[IPIQ]  Integral polynomial integer quotient.
  \item[IPIQH]  Integral polynomial mod ideal quadratic hensel lemma.
  \item[IPLCPP]  Integral polynomial list of contents and primitive parts.
  \item[IPLRRI]  Integral polynomial list real root isolation.
  \item[IPMAXN]  Integral polynomial maximum norm.
  \item[IPNEG]  Integral polynomial negative.
  \item[IPNT]  Integral polynomial negative transformation.
  \item[IPONE]  Integral polynomial one.
  \item[IPP2P]  Integral polynomial power of 2 product.
  \item[IPPGSD]  Integral polynomial primitive greatest squarefree divisor.
  \item[IPPOWREAD]  Integral polynomial power read.
  \item[IPPP]  Integral polynomial primitive part.
  \item[IPPROD]  Integral polynomial product.
  \item[IPPSC]  Integral polynomial principal subresultant coefficients.
  \item[IPPSR]  Integral polynomial pseudo-remainder.
  \item[IPQ]  Integral polynomial quotient.
  \item[IPQR]  Integral polynomial quotient and remainder.
  \item[IPRAN]  Integral polynomial, random.
  \item[IPRCH]  Integral polynomial real root calculation, high precision.
  \item[IPRCHS]  Integral polynomial real root calculation, high-precision
    special.
  \item[IPRCN1]  Integral polynomial real root calculation, 1 root.
  \item[IPRCNP]  Integral polynomial real root calculation, Newton method
    preparation.
  \item[IPREAD]  Integral polynomial read.
  \item[IPRES]  Integral polynomial resultant.
  \item[IPRICL]  Integral polynomial real root isolation, Collins-Loos
    algorithm.
  \item[IPRIM]  Integral polynomial real root isolation, modified Uspensky
    method.
  \item[IPRIMO]  Integral polynomial real root isolation, modified Uspensky
    method, open interval.
  \item[IPRIMS]  Integral polynomial real root isolation, modified Uspensky
    method, standard interval.
  \item[IPRIMU]  Integral polynomial real root isolation, modified Uspensky
    method, unit interval.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \item[IPRPRS]  Integral polynomial reduced polynomial remainder sequence.
  \item[IPRRII]  Integral polynomial real root isolation induction.
  \item[IPRRLS]  Integral polynomial real root list separation.
  \item[IPRRRI]  Integral polynomial relative real root isolation.
  \item[IPRRS]  Integral polynomial real root separation.
  \item[IPSCPP]  Integral polynomial sign, content, and primitive part.
  \item[IPSF]  Integral polynomial squarefree factorization.
  \item[IPSFBA]  Integral polynomial squarefree basis augmentation.
  \item[IPSFSD]  Integral squarefree factorization, second derivative.
  \item[IPSIFI]  Integral polynomial standard isolating interval from
    isolating interval.
  \item[IPSIGN]  Integral polynomial sign.
  \item[IPSMV]  Integral polynomial substitution for main variable.
  \item[IPSPRS]  Integral polynomial subresultant polynomial remainder
    sequence.
  \item[IPSRM]  Integral polynomial strong real root isolation, modified
    Uspensky method.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \item[IPSRP]  Integral polynomial similiar to rational polynomial.
  \item[IPSUB]  Integral polynomial substitution.
  \item[IPSUM]  Integral polynomial sum.
  \item[IPSUMN]  Integral polynomial sum norm.
  \item[IPTERMREAD]  Integral polynomial term read.
  \item[IPTPR]  Integral polynomial truncated product.
  \item[IPTR]  Integral polynomial translation, specified variable.
  \item[IPTR1]  Integral polynomial translation by one, specified variable.
  \item[IPTR1LV]  Integral polynomial translation by one, leading variable.
  \item[IPTRAN]  Integral polynomial translation.
  \item[IPTRLV]  Integral polynomial translation, leading variable.
  \item[IPTRMV]  Integral polynomial translation, main variable.
  \item[IPTRUN]  Integral polynomial truncation.
  \item[IPVCHT]  Integral polynomial variations after circle to half-plane
    transformation.
  \item[IPWRITE]  Integral polynomial write.
  \item[ISFPF]  Integral squarefree polynomial factorization.
  \item[ISFPIR]  Integral squarefree polynomial isolating interval refinement.
  \item[ISPSFB]  Integral squarefree polynomial squarefree basis.
  \item[IUPBEI]  Integral univariate polynomial binary rational evaluation,
    integer output.
  \item[IUPBES]  Integral univariate polynomial binary rational evaluation of
    sign.
  \item[IUPBHT]  Integral univariate polynomial binary homothetic
    transformation.
  \item[IUPBRE]  Integral univariate polynomial binary rational evaluation.
  \item[IUPCHT]  Integral univariate polynomial circle to half-plane
    transformation.
  \item[IUPFAC]  Integral univariate polynomial factorization.
  \item[IUPFDS]  Integral univariate polynomial factor degree set.
  \item[IUPIHT]  Integral univariate polynomial integer homothetic
    transformation.
  \item[IUPIIR]  Integral univariate polynomial isolating interval refinement.
  \item[IUPNT]  Integral univariate polynomial negative transformation.
  \item[IUPQH]  Integral univariate polynomial quadratic hensel lemma.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[IUPRB]  Integral univariate polynomial root bound.
  \item[IUPRC]  Integral univariate polynomial resultant and cofactor.
  \item[IUPRLP]  Integral univariate polynomial, root of a linear polynomial.
  \item[IUPSR]  Integral univariate polynomial semi-remainder.
  \item[IUPTPR]  Integral univariate polynomial truncated product.
  \item[IUPTR]  Integral univariate polynomial translation.
  \item[IUPTR1]  Integral univariate polynomial translation by 1.
  \item[IUPVAR]  Integral univariate polynomial variations.
  \item[IUPVOI]  Integral univariate polynomial, variations for open interval.
  \item[IUPVSI]  Integral univariate polynomial, variations for standard
    interval.
  \item[IUPWRITE]  Integral univariate polynomial write.
  \item[IUSFPF]  Integral univariate squarefree polynomial factorization.
  \item[MAIPDE]  Matrix of integral polynomials determinant, exact division
    algorithm.
  \item[MAIPDM]  Matrix of integral polynomials determinant, modular
    algorithm.
  \item[MAIPHM]  Matrix of integral polynomials homomorphism.
  \item[MAIPP]  Matrix of integral polynomials product.
  \item[MIPDIF]  Modular integral polynomial difference.
  \item[MIPFSM]  Modular integral polynomial from symmetric modular.
  \item[MIPHOM]  Modular integral polynomial homomorphism.
  \item[MIPIPR]  Modular integral polynomial mod ideal product.
  \item[MIPISE]  Modular integral polynomial mod ideal, solution of equation.
  \item[MIPNEG]  Modular integral polynomial negation.
  \item[MIPPR]  Modular integral polynomial product.
  \item[MIPRAN]  Modular integral polynomial, random.
  \item[MIPSUM]  Modular integral polynomial sum.
  \item[MIUPQR]  Modular integral univariate polynomial quotient and
    remainder.
  \item[MIUPSE]  Modular integral univariate polynomial, solution of equation.
  \item[RPFIP]  Rational polynomial from integral polynomial.
  \item[RPMAIP]  Rational polynomial monic associate of integral polynomial.
  \item[SMFMIP]  Symmetric modular from modular integral polynomial.
  \end{description}
\item[integration] \ \ 
  \begin{description}
  \item[AFPINT]  Algebraic number field polynomial integration.
  \item[IPINT]  Integral polynomial integration.
  \item[RPIMV]  Rational polynomial integration, main variable.
  \end{description}
\item[interpolation] \ \ 
  \begin{description}
  \item[MPINT]  Modular polynomial interpolation.
  \end{description}
\item[intersection] \ \ 
  \begin{description}
  \item[CSINT]  Characteristic set intersection.
  \item[SINTER]  Set intersection.
  \item[USINT]  Unordered set intersection.
  \end{description}
\item[interval] \ \ 
  \begin{description}
  \item[AFUPIIR]  Algebraic number field polynomial isolating interval
    refinement.
  \item[AMSIGNIR]  Algebraic module sign, interval refinement.
  \item[AMUPIIR]  Algebraic module polynomial isolating interval refinement.
  \item[AMUPVARIR]  Algebraic module univariate polynomial variations,
    interval refinement.
  \item[ANIIPE]  Algebraic number isolating interval for a primitive element.
  \item[IIC]  Isolating interval conversion.
  \item[IPRIMO]  Integral polynomial real root isolation, modified Uspensky
    method, open interval.
  \item[IPRIMS]  Integral polynomial real root isolation, modified Uspensky
    method, standard interval.
  \item[IPRIMU]  Integral polynomial real root isolation, modified Uspensky
    method, unit interval.
  \item[IPSIFI]  Integral polynomial standard isolating interval from
    isolating interval.
  \item[IPSIFI]  Integral polynomial standard isolating interval from
    isolating interval.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \item[ISFPIR]  Integral squarefree polynomial isolating interval refinement.
  \item[IUPIIR]  Integral univariate polynomial isolating interval refinement.
  \item[IUPVOI]  Integral univariate polynomial, variations for open interval.
  \item[IUPVSI]  Integral univariate polynomial, variations for standard
    interval.
  \item[RIB]  Rational interval bisection.
  \item[RIL]  Rational interval length.
  \item[RILC]  Rational interval length comparison.
  \item[RINEG]  Rational interval negation.
  \item[RINT]  Rational interval normalizing transformation.
  \item[RIPROD]  Rational interval product.
  \item[RIRNP]  Rational interval rational number product.
  \item[RISIGN]  Rational interval sign.
  \item[RISUM]  Rational interval sum.
  \item[SFIFI]  Single-precision floating-point interval from integer.
  \end{description}
\item[intervals] \ \ 
  \begin{description}
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AMUPIIWS]  Algebraic module univariate polynomial isolating intervals
    weakly disjoint to strongly disjoint.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[IPIIWS]  Integral polynomial isolating intervals weakly disjoint to
    strongly disjoint.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \end{description}
\item[introduction] \ \ 
  \begin{description}
  \item[PINV]  Polynomial introduction of new variables.
  \end{description}
\item[inverse] \ \ 
  \begin{description}
  \item[AFICR]  Algebraic number field element inverse convert representation.
  \item[AFINV]  Algebraic number field element inverse.
  \item[AFPICR]  Algebraic number field polynomial inverse convert
    representation.
  \item[CINV]  Constructive inverse.
  \item[INV]  Inverse.
  \item[MDINV]  Modular digit inverse.
  \item[MIINV]  Modular integer inverse.
  \item[PFDP]  Polynomial from dense polynomial. PICPV Polynomial inverse
    cyclic permutation of variables.
  \item[RNINV]  Rational number inverse.
  \end{description}
\item[isolating] \ \ 
  \begin{description}
  \item[AFUPIIR]  Algebraic number field polynomial isolating interval
    refinement.
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AMUPIIR]  Algebraic module polynomial isolating interval refinement.
  \item[AMUPIIWS]  Algebraic module univariate polynomial isolating intervals
    weakly disjoint to strongly disjoint.
  \item[ANIIPE]  Algebraic number isolating interval for a primitive element.
  \item[IIC]  Isolating interval conversion.
  \item[IPIIWS]  Integral polynomial isolating intervals weakly disjoint to
    strongly disjoint.
  \item[IPSIFI]  Integral polynomial standard isolating interval from
    isolating interval.
  \item[IPSIFI]  Integral polynomial standard isolating interval from
    isolating interval.
  \item[ISFPIR]  Integral squarefree polynomial isolating interval refinement.
  \item[IUPIIR]  Integral univariate polynomial isolating interval refinement.
  \end{description}
\item[isolation] \ \ 
  \begin{description}
  \item[AFPBRI]  Algebraic number field polynomial basis real root isolation.
  \item[AFPRCL]  Algebraic number field polynomial real root isolation,
    collins-loos algorithm.
  \item[AFPRII]  Algebraic number field polynomial real root isolation
    induction.
  \item[AFPRRI]  Algebraic number field polynomial relative real root
    isolation.
  \item[AFUPBRI]  Algebraic number field univariate polynomial basis real root
    isolation.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[AFUPRICS]  Algebraic univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AFUPRII]  Algebraic number field univariate polynomial real root
    isolation induction.
  \item[AFUPRRI]  Algebraic number field univariate polynomial relative real
    root isolation.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \item[IPLRRI]  Integral polynomial list real root isolation.
  \item[IPRICL]  Integral polynomial real root isolation, Collins-Loos
    algorithm.
  \item[IPRIM]  Integral polynomial real root isolation, modified Uspensky
    method.
  \item[IPRIMO]  Integral polynomial real root isolation, modified Uspensky
    method, open interval.
  \item[IPRIMS]  Integral polynomial real root isolation, modified Uspensky
    method, standard interval.
  \item[IPRIMU]  Integral polynomial real root isolation, modified Uspensky
    method, unit interval.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \item[IPRRII]  Integral polynomial real root isolation induction.
  \item[IPRRRI]  Integral polynomial relative real root isolation.
  \item[IPSRM]  Integral polynomial strong real root isolation, modified
    Uspensky method.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \end{description}
\item[iupqs] \ \ 
  \begin{description}
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \end{description}
\item[kannan] \ \ 
  \begin{description}
  \item[LDSMKB]  Linear diophantine system solution, modified Kannan and
    Bachem algorithm.
  \end{description}
\item[karatsuba] \ \ 
  \begin{description}
  \item[IPRODK]  Integer product, karatsuba algorithm.
  \end{description}
\item[large] \ \ 
  \begin{description}
  \item[ILPDS]  Integer large prime divisor search.
  \end{description}
\item[last] \ \ 
  \begin{description}
  \item[LASTCELL]  Last cell.
  \end{description}
\item[leading] \ \ 
  \begin{description}
  \item[IPBEILV]  Integral polynomial binary rational evaluation, integral
    polynomial result, leading variable.
  \item[IPBHTLV]  Integral polynomial binary homothetic transformation,
    leading variable.
  \item[IPTR1LV]  Integral polynomial translation by one, leading variable.
  \item[IPTRLV]  Integral polynomial translation, leading variable.
  \item[PLBCF]  Polynomial leading base coefficient.
  \item[PLDCF]  Polynomial leading coefficient.
  \end{description}
\item[least] \ \ 
  \begin{description}
  \item[ILCM]  Integer least common multiple.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \end{description}
\item[lemma] \ \ 
  \begin{description}
  \item[IPIQH]  Integral polynomial mod ideal quadratic hensel lemma.
  \item[IUPQH]  Integral univariate polynomial quadratic hensel lemma.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[MPIQH]  Modular polynomial mod ideal, quadratic Hensel lemma.
  \item[MPIQHL]  Modular polynomial mod ideal quadratic hensel lemma, list.
  \item[MPIQHS]  Modular polynomial mod ideal, quadratic Hensel lemma on a
    single variable.
  \end{description}
\item[length] \ \ 
  \begin{description}
  \item[IDIPR2]  Integer digit inner product, length 2.
  \item[LENGTH]  Length.
  \item[RIL]  Rational interval length.
  \item[RILC]  Rational interval length comparison.
  \end{description}
\item[letter] \ \ 
  \begin{description}
  \item[LETTER]  Letter.
  \end{description}
\item[lexicographically] \ \ 
  \begin{description}
  \item[CPLEXN]  Cartesian product, lexicographically next.
  \item[LEXNEX]  Lexicographically next.
  \end{description}
\item[line] \ \ 
  \begin{description}
  \item[ARGSACLIB]  Process the command line arguments.
  \item[FILINE]  Flush the input stream line.
  \end{description}
\item[linear] \ \ 
  \begin{description}
  \item[AFUPRL]  Algebraic number field univariate polynomial, root of a
    linear polynomial.
  \item[ILCOMB]  Integer linear combination.
  \item[IUPRLP]  Integral univariate polynomial, root of a linear polynomial.
  \item[LDSMKB]  Linear diophantine system solution, modified Kannan and
    Bachem algorithm.
  \item[LDSSBR]  Linear diophantine system solution, based on Rosser ideas.
  \item[VILCOM]  Vector of integers linear combination.
  \end{description}
\item[list] \ \ 
  \begin{description}
  \item[AFPRLS]  Algebraic number field polynomial real root list separation.
  \item[AFUPRLS]  Algebraic number field univariate polynomial real root list
    separation.
  \item[AMUPRLS]  Algebraic module univariate polynomial real root list
    separation.
  \item[CLOUT]  Character list out.
  \item[FRESL]  Fermat residue list.
  \item[FRLSM]  Fermat residue list, single modulus.
  \item[ILWRITE]  Integer list write.
  \item[IPFLC]  Integral polynomial factor list combine.
  \item[IPLCPP]  Integral polynomial list of contents and primitive parts.
  \item[IPLRRI]  Integral polynomial list real root isolation.
  \item[IPRRLS]  Integral polynomial real root list separation.
  \item[ISLIST]  Test for non-empty list.
  \item[ISNIL]  Test for empty list.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[LBIBMS]  List of BETA-integers bubble-merge sort.
  \item[LBIBS]  List of BETA-integers bubble sort.
  \item[LBIM]  List of BETA-integers merge.
  \item[LCONC]  List concatenation.
  \item[LEINST]  List element insertion.
  \item[LELTI]  List element.
  \item[LEROT]  List element rotation.
  \item[LFS]  List from String.
  \item[LINS]  List insertion.
  \item[LINSRT]  List insertion.
  \item[LIST1]  List, 1 element.
  \item[LIST10]  List, 10 elements.
  \item[LIST2]  List, 2 elements.
  \item[LIST3]  List, 3 elements.
  \item[LIST4]  List, 4 elements.
  \item[LIST5]  List, 5 elements.
  \item[LMERGE]  List merge.
  \item[LPERM]  List permute.
  \item[LREAD]  List read.
  \item[LSRCH]  List search.
  \item[LWRITE]  List write.
  \item[MDLCRA]  Modular digit list chinese remainder algorithm.
  \item[MPIQHL]  Modular polynomial mod ideal quadratic hensel lemma, list.
  \item[PCL]  Polynomial coefficient list.
  \item[SLELTI]  Set list element.
  \item[VLREAD]  Variable list read.
  \item[VLSRCH]  Variable list search.
  \item[VLWRITE]  Variable list write.
  \end{description}
\item[location] \ \ 
  \begin{description}
  \item[DIELOC]  Display Input Error Location.
  \end{description}
\item[logarithm] \ \ 
  \begin{description}
  \item[DLOG2]  Digit logarithm, base 2.
  \item[IFCL2]  Integer, floor and ceiling, logarithm, base 2.
  \item[ILOG2]  Integer logarithm, base 2.
  \item[RNFCL2]  Rational number floor and ceiling of logarithm, base 2.
  \end{description}
\item[lookahead] \ \ 
  \begin{description}
  \item[LKAHEAD]  Character lookahead.
  \end{description}
\item[loos] \ \ 
  \begin{description}
  \item[AFPRCL]  Algebraic number field polynomial real root isolation,
    collins-loos algorithm.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[IPRICL]  Integral polynomial real root isolation, Collins-Loos
    algorithm.
  \end{description}
\item[lower] \ \ 
  \begin{description}
  \item[SFRLS]  Single-precision floating-point real number lower sum.
  \end{description}
\item[lowest] \ \ 
  \begin{description}
  \item[RNRED]  Rational number reduction to lowest terms.
  \end{description}
\item[main] \ \ 
  \begin{description}
  \item[AFPCMV]  Algebraic number field polynomial composition in main
    variable.
  \item[AFPDMV]  Algebraic number field polynomial derivative, main variable.
  \item[AFPEMV]  Algebraic number field polynomial evaluation of main
    variable.
  \item[AMPDMV]  Algebraic module polynomial derivative, main variable.
  \item[IPBHTMV]  Integral polynomial binary homothetic transformation, main
    variable.
  \item[IPDMV]  Integral polynomial derivative, main variable.
  \item[IPEMV]  Integral polynomial evaluation of main variable.
  \item[IPHDMV]  Integral polynomial higher derivative, main variable.
  \item[IPSMV]  Integral polynomial substitution for main variable.
  \item[IPTRMV]  Integral polynomial translation, main variable.
  \item[main]  Default main routine.
  \item[MCPMV]  Matrix of coefficients of polynomials, with respect to main
    variable.
  \item[MPEMV]  Modular polynomial evaluation of main variable.
  \item[PMPMV]  Polynomial multiplication by power of main variable.
  \item[PTMV]  Polynomial transpose main variables. PTV Polynomial transpose
    variables.
  \item[RPDMV]  Rational polynomial derivative, main variable.
  \item[RPEMV]  Rational polynomial evaluation, main variable.
  \item[RPIMV]  Rational polynomial integration, main variable.
  \end{description}
\item[mark] \ \ 
  \begin{description}
  \item[MARK]  Mark.
  \end{description}
\item[matrix] \ \ 
  \begin{description}
  \item[MAIPDE]  Matrix of integral polynomials determinant, exact division
    algorithm.
  \item[MAIPDM]  Matrix of integral polynomials determinant, modular
    algorithm.
  \item[MAIPHM]  Matrix of integral polynomials homomorphism.
  \item[MAIPP]  Matrix of integral polynomials product.
  \item[MCPMV]  Matrix of coefficients of polynomials, with respect to main
    variable.
  \item[MIAIM]  Matrix of integers, adjoin identity matrix.
  \item[MIAIM]  Matrix of integers, adjoin identity matrix.
  \item[MICINS]  Matrix of integers column insertion.
  \item[MICS]  Matrix of integers column sort.
  \item[MINNCT]  Matrix of integers, non-negative column transformation.
  \item[MMDDET]  Matrix of modular digits determinant.
  \item[MMDNSB]  Matrix of modular digits null-space basis.
  \item[MMPDMA]  Matrix of modular polynomials determinant, modular algorithm.
  \item[MMPEV]  Matrix of modular polynomials evaluation.
  \end{description}
\item[max] \ \ 
  \begin{description}
  \item[RNMAX]  Rational number max.
  \end{description}
\item[maximum] \ \ 
  \begin{description}
  \item[IMAX]  Integer maximum.
  \item[IPMAXN]  Integral polynomial maximum norm.
  \item[MAX]  Maximum.
  \item[VMAX]  Vector maximum.
  \end{description}
\item[medium] \ \ 
  \begin{description}
  \item[IMPDS]  Integer medium prime divisor search.
  \end{description}
\item[membership] \ \ 
  \begin{description}
  \item[MEMBER]  Membership test.
  \end{description}
\item[memory] \ \ 
  \begin{description}
  \item[GCAFREE]  Garbage collected array memory deallocation.
  \item[GCAMALLOC]  Garbage collected array memory allocation.
  \end{description}
\item[merge] \ \ 
  \begin{description}
  \item[LBIBMS]  List of BETA-integers bubble-merge sort.
  \item[LBIM]  List of BETA-integers merge.
  \item[LMERGE]  List merge.
  \end{description}
\item[method] \ \ 
  \begin{description}
  \item[AFUPRICS]  Algebraic univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \item[IPRCNP]  Integral polynomial real root calculation, Newton method
    preparation.
  \item[IPRIM]  Integral polynomial real root isolation, modified Uspensky
    method.
  \item[IPRIMO]  Integral polynomial real root isolation, modified Uspensky
    method, open interval.
  \item[IPRIMS]  Integral polynomial real root isolation, modified Uspensky
    method, standard interval.
  \item[IPRIMU]  Integral polynomial real root isolation, modified Uspensky
    method, unit interval.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \item[IPSRM]  Integral polynomial strong real root isolation, modified
    Uspensky method.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \end{description}
\item[min] \ \ 
  \begin{description}
  \item[RNMIN]  Rational number min.
  \end{description}
\item[minimal] \ \ 
  \begin{description}
  \item[AFUPMPR]  Algebraic number field univariate polynomial minimal
    polynomial of a real root.
  \item[AMUPMPR]  Algebraic module univariate polynomial minimal polynomial of
    a real root.
  \end{description}
\item[minimum] \ \ 
  \begin{description}
  \item[IMIN]  Integer minimum.
  \item[MIN]  Minimum.
  \item[VMIN]  Vector minimum.
  \end{description}
\item[minus] \ \ 
  \begin{description}
  \item[ACLOCK]  Clock minus garbage collection time.
  \end{description}
\item[mod] \ \ 
  \begin{description}
  \item[IPIHOM]  Integral polynomial mod ideal homomorphism.
  \item[IPIPR]  Integral polynomial mod ideal product.
  \item[IPIQH]  Integral polynomial mod ideal quadratic hensel lemma.
  \item[MIPIPR]  Modular integral polynomial mod ideal product.
  \item[MIPISE]  Modular integral polynomial mod ideal, solution of equation.
  \item[MMPIQR]  Modular monic polynomial mod ideal quotient and remainder.
  \item[MPIQH]  Modular polynomial mod ideal, quadratic Hensel lemma.
  \item[MPIQHL]  Modular polynomial mod ideal quadratic hensel lemma, list.
  \item[MPIQHS]  Modular polynomial mod ideal, quadratic Hensel lemma on a
    single variable.
  \end{description}
\item[modified] \ \ 
  \begin{description}
  \item[IPRIM]  Integral polynomial real root isolation, modified Uspensky
    method.
  \item[IPRIMO]  Integral polynomial real root isolation, modified Uspensky
    method, open interval.
  \item[IPRIMS]  Integral polynomial real root isolation, modified Uspensky
    method, standard interval.
  \item[IPRIMU]  Integral polynomial real root isolation, modified Uspensky
    method, unit interval.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \item[IPSRM]  Integral polynomial strong real root isolation, modified
    Uspensky method.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \item[LDSMKB]  Linear diophantine system solution, modified Kannan and
    Bachem algorithm.
  \item[PMDEG]  Polynomial modified degree.
  \end{description}
\item[modular] \ \ 
  \begin{description}
  \item[DMPPRD]  Dense modular polynomial product.
  \item[DMPSUM]  Dense modular polynomial sum.
  \item[DMUPNR]  Dense modular univariate polynomial natural remainder.
  \item[MAIPDM]  Matrix of integral polynomials determinant, modular
    algorithm.
  \item[MDCRA]  Modular digit chinese remainder algorithm.
  \item[MDDIF]  Modular digit difference.
  \item[MDEXP]  Modular digit exponentiation.
  \item[MDHOM]  Modular digit homomorphism.
  \item[MDINV]  Modular digit inverse.
  \item[MDLCRA]  Modular digit list chinese remainder algorithm.
  \item[MDNEG]  Modular digit negative.
  \item[MDPROD]  Modular digit product.
  \item[MDQ]  Modular digit quotient.
  \item[MDRAN]  Modular digit, random.
  \item[MDSUM]  Modular digit sum.
  \item[MIDCRA]  Modular integer digit chinese remainder algorithm.
  \item[MIDIF]  Modular integer difference.
  \item[MIEXP]  Modular integer exponentiation.
  \item[MIHOM]  Modular integer homomorphism.
  \item[MIINV]  Modular integer inverse.
  \item[MINEG]  Modular integer negation.
  \item[MIPDIF]  Modular integral polynomial difference.
  \item[MIPFSM]  Modular integral polynomial from symmetric modular.
  \item[MIPFSM]  Modular integral polynomial from symmetric modular.
  \item[MIPHOM]  Modular integral polynomial homomorphism.
  \item[MIPIPR]  Modular integral polynomial mod ideal product.
  \item[MIPISE]  Modular integral polynomial mod ideal, solution of equation.
  \item[MIPNEG]  Modular integral polynomial negation.
  \item[MIPPR]  Modular integral polynomial product.
  \item[MIPRAN]  Modular integral polynomial, random.
  \item[MIPROD]  Modular integer product.
  \item[MIPSUM]  Modular integral polynomial sum.
  \item[MIQ]  Modular integer quotient.
  \item[MIRAN]  Modular integer, random.
  \item[MISUM]  Modular integer sum.
  \item[MIUPQR]  Modular integral univariate polynomial quotient and
    remainder.
  \item[MIUPSE]  Modular integral univariate polynomial, solution of equation.
  \item[MMDDET]  Matrix of modular digits determinant.
  \item[MMDNSB]  Matrix of modular digits null-space basis.
  \item[MMPDMA]  Matrix of modular polynomials determinant, modular algorithm.
  \item[MMPDMA]  Matrix of modular polynomials determinant, modular algorithm.
  \item[MMPEV]  Matrix of modular polynomials evaluation.
  \item[MMPIQR]  Modular monic polynomial mod ideal quotient and remainder.
  \item[MPDIF]  Modular polynomial difference.
  \item[MPEMV]  Modular polynomial evaluation of main variable.
  \item[MPEVAL]  Modular polynomial evaluation.
  \item[MPEXP]  Modular polynomial exponentiation.
  \item[MPGCDC]  Modular polynomial greatest common divisor and cofactors.
  \item[MPHOM]  Modular polynomial homomorphism.
  \item[MPINT]  Modular polynomial interpolation.
  \item[MPIQH]  Modular polynomial mod ideal, quadratic Hensel lemma.
  \item[MPIQHL]  Modular polynomial mod ideal quadratic hensel lemma, list.
  \item[MPIQHS]  Modular polynomial mod ideal, quadratic Hensel lemma on a
    single variable.
  \item[MPMDP]  Modular polynomial modular digit product.
  \item[MPMDP]  Modular polynomial modular digit product.
  \item[MPMON]  Modular polynomial monic.
  \item[MPNEG]  Modular polynomial negative.
  \item[MPPROD]  Modular polynomial product.
  \item[MPPSR]  Modular polynomial pseudo-remainder.
  \item[MPQ]  Modular polynomial quotient.
  \item[MPQR]  Modular polynomial quotient and remainder.
  \item[MPRAN]  Modular polynomial, random.
  \item[MPRES]  Modular polynomial resultant.
  \item[MPSPRS]  Modular polynomial subresultant polynomial remainder
    sequence.
  \item[MPSUM]  Modular polynomial sum.
  \item[MPUC]  Modular polynomial univariate content.
  \item[MPUCPP]  Modular polynomial univariate content and primitive part.
  \item[MPUCS]  Modular polynomial univariate content subroutine.
  \item[MPUP]  Modular polynomial univariate product.
  \item[MPUPP]  Modular polynomial univariate primitive part.
  \item[MPUQ]  Modular polynomial univariate quotient.
  \item[MUPBQP]  Modular univariate polynomial berlekamp Q polynomials
    construction.
  \item[MUPDDF]  Modular univariate polynomial distinct degree factorization.
  \item[MUPDER]  Modular univariate polynomial derivative.
  \item[MUPEGC]  Modular univariate polynomial extended greatest common
    divisor.
  \item[MUPFBL]  Modular univariate polynomial factorization-berlekamp
    algorithm.
  \item[MUPFS]  Modular univariate polynomial factorization, special.
  \item[MUPGCD]  Modular univariate polynomial greatest common divisor.
  \item[MUPHEG]  Modular univariate polynomial half-extended greatest common
    divisor.
  \item[MUPRAN]  Modular univariate polynomial, random.
  \item[MUPRC]  Modular univariate polynomial resultant and cofactor.
  \item[MUPRES]  Modular univariate polynomial resultant.
  \item[MUPSFF]  Modular univariate polynomial squarefree factorization.
  \item[SMFMI]  Symmetric modular from modular integer.
  \item[SMFMI]  Symmetric modular from modular integer.
  \item[SMFMIP]  Symmetric modular from modular integral polynomial.
  \item[SMFMIP]  Symmetric modular from modular integral polynomial.
  \item[VMPIP]  Vector of modular polynomial inner product.
  \end{description}
\item[module] \ \ 
  \begin{description}
  \item[AMPDMV]  Algebraic module polynomial derivative, main variable.
  \item[AMPSAFP]  Algebraic module polynomial similar to algebraic field
    polynomial.
  \item[AMSIGN]  Algebraic module sign.
  \item[AMSIGNIR]  Algebraic module sign, interval refinement.
  \item[AMUPBES]  Algebraic module univariate polynomial, binary rational
    evaluation of sign.
  \item[AMUPBHT]  Algebraic module univariate polynomial binary homothetic
    transformation.
  \item[AMUPIIR]  Algebraic module polynomial isolating interval refinement.
  \item[AMUPIIWS]  Algebraic module univariate polynomial isolating intervals
    weakly disjoint to strongly disjoint.
  \item[AMUPMPR]  Algebraic module univariate polynomial minimal polynomial of
    a real root.
  \item[AMUPNT]  Algebraic module univariate polynomial negative
    transformation.
  \item[AMUPRBH]  Algebraic module univariate polynomial root bound and
    homothetic transformation.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \item[AMUPRLS]  Algebraic module univariate polynomial real root list
    separation.
  \item[AMUPRRS]  Algebraic module univariate polynomial real root separation.
  \item[AMUPSR]  Algebraic module univariate polynomial, sign at a rational
    point.
  \item[AMUPTR]  Algebraic module univariate polynomial translation.
  \item[AMUPTR1]  Algebraic module univariate polynomial translation by 1.
  \item[AMUPVARIR]  Algebraic module univariate polynomial variations,
    interval refinement.
  \end{description}
\item[modulus] \ \ 
  \begin{description}
  \item[FRLSM]  Fermat residue list, single modulus.
  \item[SFCMSQ]  Single-precision floating-point complex modulus squared.
  \end{description}
\item[monic] \ \ 
  \begin{description}
  \item[AFPMON]  Algebraic number field polynomial monic.
  \item[MMPIQR]  Modular monic polynomial mod ideal quotient and remainder.
  \item[MPMON]  Modular polynomial monic.
  \item[RPMAIP]  Rational polynomial monic associate of integral polynomial.
  \end{description}
\item[monomial] \ \ 
  \begin{description}
  \item[PMON]  Polynomial monomial.
  \end{description}
\item[multiple] \ \ 
  \begin{description}
  \item[AFPME]  Algebraic number field polynomial multiple evaluation.
  \item[ILCM]  Integer least common multiple.
  \item[IPAFME]  Integral polynomial, algebraic number field multiple
    evaluation.
  \item[RPAFME]  Rational polynomial, algebraic number field multiple
    evaluation.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \end{description}
\item[multiplication] \ \ 
  \begin{description}
  \item[IMP2]  Integer multiplication by power of 2.
  \item[PMPMV]  Polynomial multiplication by power of main variable.
  \end{description}
\item[natural] \ \ 
  \begin{description}
  \item[DMUPNR]  Dense modular univariate polynomial natural remainder.
  \end{description}
\item[negation] \ \ 
  \begin{description}
  \item[INEG]  Integer negation.
  \item[MINEG]  Modular integer negation.
  \item[MIPNEG]  Modular integral polynomial negation.
  \item[RINEG]  Rational interval negation.
  \item[SFCNEG]  Single-precision floating-point complex negation.
  \item[SFRNEG]  Single-precision floating-point real negation.
  \item[VINEG]  Vector of integers negation.
  \end{description}
\item[negative] \ \ 
  \begin{description}
  \item[AFNEG]  Algebraic number field negative.
  \item[AFPNEG]  Algebraic number field polynomial negative.
  \item[AMUPNT]  Algebraic module univariate polynomial negative
    transformation.
  \item[DRANN]  Digit, random non-negative.
  \item[IPNEG]  Integral polynomial negative.
  \item[IPNT]  Integral polynomial negative transformation.
  \item[IUPNT]  Integral univariate polynomial negative transformation.
  \item[MDNEG]  Modular digit negative.
  \item[MINNCT]  Matrix of integers, non-negative column transformation.
  \item[MPNEG]  Modular polynomial negative.
  \item[RNNEG]  Rational number negative.
  \item[RPNEG]  Rational polynomial negative.
  \end{description}
\item[new] \ \ 
  \begin{description}
  \item[PINV]  Polynomial introduction of new variables.
  \end{description}
\item[newton] \ \ 
  \begin{description}
  \item[IPRCNP]  Integral polynomial real root calculation, Newton method
    preparation.
  \end{description}
\item[next] \ \ 
  \begin{description}
  \item[CPLEXN]  Cartesian product, lexicographically next.
  \item[LEXNEX]  Lexicographically next.
  \item[PARTN]  Partition, next.
  \end{description}
\item[non] \ \ 
  \begin{description}
  \item[DNIMP]  Digit non-implication.
  \item[DRANN]  Digit, random non-negative.
  \item[ISLIST]  Test for non-empty list.
  \item[MINNCT]  Matrix of integers, non-negative column transformation.
  \end{description}
\item[norm] \ \ 
  \begin{description}
  \item[AFPNORM]  Algebraic number field polynomial norm.
  \item[AFUPSFN]  Algebraic number field univariate polynomial squarefree
    norm.
  \item[IPMAXN]  Integral polynomial maximum norm.
  \item[IPSUMN]  Integral polynomial sum norm.
  \end{description}
\item[normalize] \ \ 
  \begin{description}
  \item[AFPNIP]  Algebraic number field polynomial normalize to integral
    polynomial.
  \end{description}
\item[normalized] \ \ 
  \begin{description}
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \end{description}
\item[normalizing] \ \ 
  \begin{description}
  \item[RINT]  Rational interval normalizing transformation.
  \end{description}
\item[not] \ \ 
  \begin{description}
  \item[DNOT]  Digit not.
  \end{description}
\item[null] \ \ 
  \begin{description}
  \item[MMDNSB]  Matrix of modular digits null-space basis.
  \end{description}
\item[number] \ \ 
  \begin{description}
  \item[AFCOMP]  Algebraic number field comparison.
  \item[AFCR]  Algebraic number field element convert representation.
  \item[AFDIF]  Algebraic number field element difference.
  \item[AFDWRITE]  Algebraic number field, decimal write.
  \item[AFFINT]  Algebraic number field element from integer.
  \item[AFFRN]  Algebraic number field element from rational number.
  \item[AFFRN]  Algebraic number field element from rational number.
  \item[AFICR]  Algebraic number field element inverse convert representation.
  \item[AFINV]  Algebraic number field element inverse.
  \item[AFNEG]  Algebraic number field negative.
  \item[AFPAFP]  Algebraic number field polynomial algebraic number field
    element product.
  \item[AFPAFP]  Algebraic number field polynomial algebraic number field
    element product.
  \item[AFPAFQ]  Algebraic number field polynomial algebraic number field
    element quotient.
  \item[AFPAFQ]  Algebraic number field polynomial algebraic number field
    element quotient.
  \item[AFPBRI]  Algebraic number field polynomial basis real root isolation.
  \item[AFPCMV]  Algebraic number field polynomial composition in main
    variable.
  \item[AFPCR]  Algebraic number field polynomial convert representation.
  \item[AFPDIF]  Algebraic number field polynomial difference.
  \item[AFPDMV]  Algebraic number field polynomial derivative, main variable.
  \item[AFPEMV]  Algebraic number field polynomial evaluation of main
    variable.
  \item[AFPEV]  Algebraic number field polynomial evaluation.
  \item[AFPFIP]  Algebraic number field polynomial from integral polynomial.
  \item[AFPFRP]  Algebraic number field polynomial from rational polynomial.
  \item[AFPICR]  Algebraic number field polynomial inverse convert
    representation.
  \item[AFPINT]  Algebraic number field polynomial integration.
  \item[AFPME]  Algebraic number field polynomial multiple evaluation.
  \item[AFPMON]  Algebraic number field polynomial monic.
  \item[AFPNEG]  Algebraic number field polynomial negative.
  \item[AFPNIP]  Algebraic number field polynomial normalize to integral
    polynomial.
  \item[AFPNORM]  Algebraic number field polynomial norm.
  \item[AFPPR]  Algebraic number field polynomial product.
  \item[AFPQR]  Algebraic number field polynomial quotient and remainder.
  \item[AFPRCL]  Algebraic number field polynomial real root isolation,
    collins-loos algorithm.
  \item[AFPRII]  Algebraic number field polynomial real root isolation
    induction.
  \item[AFPRLS]  Algebraic number field polynomial real root list separation.
  \item[AFPROD]  Algebraic number field element product.
  \item[AFPRRI]  Algebraic number field polynomial relative real root
    isolation.
  \item[AFPRRS]  Algebraic number field polynomial real root separation.
  \item[AFPSUM]  Algebraic number field polynomial sum.
  \item[AFPWRITE]  Algebraic number field polynomial write.
  \item[AFQ]  Algebraic number field quotient.
  \item[AFSIGN]  Algebraic number field sign.
  \item[AFSUM]  Algebraic number field element sum.
  \item[AFUPBRI]  Algebraic number field univariate polynomial basis real root
    isolation.
  \item[AFUPFAC]  Algebraic number field univariate polynomial factorization.
  \item[AFUPGC]  Algebraic number field univariate polynomial greatest common
    divisor and cofactors.
  \item[AFUPGS]  Algebraic number field polynomial greatest squarefree
    divisior.
  \item[AFUPIIR]  Algebraic number field polynomial isolating interval
    refinement.
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AFUPMPR]  Algebraic number field univariate polynomial minimal
    polynomial of a real root.
  \item[AFUPRB]  Algebraic number field univariate polynomial root bound.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[AFUPRII]  Algebraic number field univariate polynomial real root
    isolation induction.
  \item[AFUPRL]  Algebraic number field univariate polynomial, root of a
    linear polynomial.
  \item[AFUPRLS]  Algebraic number field univariate polynomial real root list
    separation.
  \item[AFUPRRI]  Algebraic number field univariate polynomial relative real
    root isolation.
  \item[AFUPRRS]  Algebraic number field univariate polynomial real root
    separation.
  \item[AFUPSF]  Algebraic number field univariate polynomial squarefree
    factorization.
  \item[AFUPSFN]  Algebraic number field univariate polynomial squarefree
    norm.
  \item[AFUPSR]  Algebraic number field univariate polynomial, sign at a
    rational point.
  \item[AFUPVAR]  Algebraic number field univariate polynomial variations.
  \item[AFUPWRITE]  Algebraic number field univariate polynomial write.
  \item[AIFAN]  Algebraic integer from algebraic number.
  \item[ANDWRITE]  Algebraic number decimal write.
  \item[ANFAF]  Algebraic number from algebraic number field element.
  \item[ANFAF]  Algebraic number from algebraic number field element.
  \item[ANIIPE]  Algebraic number isolating interval for a primitive element.
  \item[ANPEDE]  [Algebraic number primitive element for a double extension.
  \item[ANPROD]  Algebraic number product.
  \item[ANREPE]  Algebraic number represent element of a primitive extension.
  \item[ANSUM]  Algebraic number sum.
  \item[IPAFME]  Integral polynomial, algebraic number field multiple
    evaluation.
  \item[RIRNP]  Rational interval rational number product.
  \item[RNABS]  Rational number absolute value.
  \item[RNBCR]  Rational number binary common representation.
  \item[RNCEIL]  Rational number, ceiling of.
  \item[RNCOMP]  Rational number comparison.
  \item[RNDEN]  Rational number denominator.
  \item[RNDIF]  Rational number difference.
  \item[RNDWRITE]  Rational number decimal write.
  \item[RNFCL2]  Rational number floor and ceiling of logarithm, base 2.
  \item[RNFLOR]  Rational number, floor of.
  \item[RNINT]  Rational number from integer.
  \item[RNINV]  Rational number inverse.
  \item[RNMAX]  Rational number max.
  \item[RNMIN]  Rational number min.
  \item[RNNEG]  Rational number negative.
  \item[RNNUM]  Rational number numerator.
  \item[RNP2]  Rational number power of 2.
  \item[RNPROD]  Rational number product.
  \item[RNQ]  Rational number quotient.
  \item[RNRAND]  Rational number, random.
  \item[RNREAD]  Rational number read.
  \item[RNRED]  Rational number reduction to lowest terms.
  \item[RNSIGN]  Rational number sign.
  \item[RNSUM]  Rational number sum.
  \item[RNWRITE]  Rational number write.
  \item[RPAFME]  Rational polynomial, algebraic number field multiple
    evaluation.
  \item[RPRNP]  Rational polynomial rational number product.
  \item[SFRLS]  Single-precision floating-point real number lower sum.
  \end{description}
\item[numerator] \ \ 
  \begin{description}
  \item[RNNUM]  Rational number numerator.
  \end{description}
\item[object] \ \ 
  \begin{description}
  \item[ISOBJECT]  Test for object.
  \item[OREAD]  Object read.
  \item[OWRITE]  Object write.
  \end{description}
\item[odd] \ \ 
  \begin{description}
  \item[IODD]  Integer odd.
  \item[ODD]  Odd.
  \end{description}
\item[one] \ \ 
  \begin{description}
  \item[IPONE]  Integral polynomial one.
  \item[IPTR1]  Integral polynomial translation by one, specified variable.
  \item[IPTR1LV]  Integral polynomial translation by one, leading variable.
  \end{description}
\item[open] \ \ 
  \begin{description}
  \item[IPRIMO]  Integral polynomial real root isolation, modified Uspensky
    method, open interval.
  \item[IUPVOI]  Integral univariate polynomial, variations for open interval.
  \end{description}
\item[or] \ \ 
  \begin{description}
  \item[DOR]  Digit or.
  \end{description}
\item[order] \ \ 
  \begin{description}
  \item[IORD2]  Integer, order of 2.
  \item[ORDER]  Order.
  \item[PDBORD]  Polynomial divided by order.
  \item[PORD]  Polynomial order.
  \end{description}
\item[out] \ \ 
  \begin{description}
  \item[CLOUT]  Character list out.
  \item[INFOSACLIB]  Write out usage information for SACLIB.
  \end{description}
\item[output] \ \ 
  \begin{description}
  \item[IUPBEI]  Integral univariate polynomial binary rational evaluation,
    integer output.
  \end{description}
\item[pair] \ \ 
  \begin{description}
  \item[PAIR]  Pair.
  \end{description}
\item[part] \ \ 
  \begin{description}
  \item[IPCPP]  Integral polynomial content and primitive part.
  \item[IPICPP]  Integral polynomial integer content and primitive part.
  \item[IPIPP]  Integral polynomial integer primitive part.
  \item[IPPP]  Integral polynomial primitive part.
  \item[IPSCPP]  Integral polynomial sign, content, and primitive part.
  \item[MPUCPP]  Modular polynomial univariate content and primitive part.
  \item[MPUPP]  Modular polynomial univariate primitive part.
  \item[SFCIP]  Single-precision floating-point complex, imaginary part.
  \item[SFCRP]  Single-precision floating-point complex, real part.
  \end{description}
\item[partial] \ \ 
  \begin{description}
  \item[DPCC]  Digit partial cosequence calculation.
  \item[IBCPS]  Integer binomial coefficient partial sum.
  \end{description}
\item[partition] \ \ 
  \begin{description}
  \item[CSFPAR]  Characteristic set from partition.
  \item[PARTN]  Partition, next.
  \item[PARTR]  Partition, random.
  \item[PARTSS]  Partition sumset.
  \end{description}
\item[parts] \ \ 
  \begin{description}
  \item[IPLCPP]  Integral polynomial list of contents and primitive parts.
  \end{description}
\item[pcpv] \ \ 
  \begin{description}
  \item[PCONST]  Polynomial constant. PCPV Polynomial cyclic permutation of
    variables.
  \end{description}
\item[permutation] \ \ 
  \begin{description}
  \item[PCONST]  Polynomial constant. PCPV Polynomial cyclic permutation of
    variables.
  \item[PERMCY]  Permutation, cyclic.
  \item[PERMR]  Permutation, random.
  \item[PFDP]  Polynomial from dense polynomial. PICPV Polynomial inverse
    cyclic permutation of variables.
  \item[PPERMV]  Polynomial permutation of variables.
  \end{description}
\item[permute] \ \ 
  \begin{description}
  \item[LPERM]  List permute.
  \end{description}
\item[picpv] \ \ 
  \begin{description}
  \item[PFDP]  Polynomial from dense polynomial. PICPV Polynomial inverse
    cyclic permutation of variables.
  \end{description}
\item[plane] \ \ 
  \begin{description}
  \item[IPVCHT]  Integral polynomial variations after circle to half-plane
    transformation.
  \item[IUPCHT]  Integral univariate polynomial circle to half-plane
    transformation.
  \end{description}
\item[point] \ \ 
  \begin{description}
  \item[AFUPSR]  Algebraic number field univariate polynomial, sign at a
    rational point.
  \item[AMUPSR]  Algebraic module univariate polynomial, sign at a rational
    point.
  \item[GC]  Garbage collection entry-point.
  \item[SFCCON]  Single-precision floating-point complex conjugation.
  \item[SFCDIF]  Single-precision floating-point complex difference.
  \item[SFCFR]  Single-precision floating-point complex from real.
  \item[SFCIP]  Single-precision floating-point complex, imaginary part.
  \item[SFCMSQ]  Single-precision floating-point complex modulus squared.
  \item[SFCNEG]  Single-precision floating-point complex negation.
  \item[SFCPR]  Single-precision floating-point complex product.
  \item[SFCQ]  Single-precision floating-point complex quotient.
  \item[SFCRP]  Single-precision floating-point complex, real part.
  \item[SFCSUM]  Single-precision floating-point complex sum.
  \item[SFIFI]  Single-precision floating-point interval from integer.
  \item[SFRABS]  Single-precision floating-point real absolute value.
  \item[SFRDIF]  Single-precision floating-point real difference.
  \item[SFRLS]  Single-precision floating-point real number lower sum.
  \item[SFRNEG]  Single-precision floating-point real negation.
  \item[SFRPR]  Single-precision floating-point real product.
  \item[SFRQ]  Single-precision floating-point real quotient.
  \item[SFRSUM]  Single-precision floating-point real sum.
  \end{description}
\item[pointer] \ \ 
  \begin{description}
  \item[GCA2PTR]  Convert garbage collected array handle to C pointer.
  \end{description}
\item[points] \ \ 
  \begin{description}
  \item[IPCEVP]  Integral polynomial, choice of evaluation points.
  \end{description}
\item[polynomial] \ \ 
  \begin{description}
  \item[AFPAFP]  Algebraic number field polynomial algebraic number field
    element product.
  \item[AFPAFQ]  Algebraic number field polynomial algebraic number field
    element quotient.
  \item[AFPBRI]  Algebraic number field polynomial basis real root isolation.
  \item[AFPCMV]  Algebraic number field polynomial composition in main
    variable.
  \item[AFPCR]  Algebraic number field polynomial convert representation.
  \item[AFPDIF]  Algebraic number field polynomial difference.
  \item[AFPDMV]  Algebraic number field polynomial derivative, main variable.
  \item[AFPEMV]  Algebraic number field polynomial evaluation of main
    variable.
  \item[AFPEV]  Algebraic number field polynomial evaluation.
  \item[AFPFIP]  Algebraic number field polynomial from integral polynomial.
  \item[AFPFIP]  Algebraic number field polynomial from integral polynomial.
  \item[AFPFRP]  Algebraic number field polynomial from rational polynomial.
  \item[AFPFRP]  Algebraic number field polynomial from rational polynomial.
  \item[AFPICR]  Algebraic number field polynomial inverse convert
    representation.
  \item[AFPINT]  Algebraic number field polynomial integration.
  \item[AFPME]  Algebraic number field polynomial multiple evaluation.
  \item[AFPMON]  Algebraic number field polynomial monic.
  \item[AFPNEG]  Algebraic number field polynomial negative.
  \item[AFPNIP]  Algebraic number field polynomial normalize to integral
    polynomial.
  \item[AFPNIP]  Algebraic number field polynomial normalize to integral
    polynomial.
  \item[AFPNORM]  Algebraic number field polynomial norm.
  \item[AFPPR]  Algebraic number field polynomial product.
  \item[AFPQR]  Algebraic number field polynomial quotient and remainder.
  \item[AFPRCL]  Algebraic number field polynomial real root isolation,
    collins-loos algorithm.
  \item[AFPRII]  Algebraic number field polynomial real root isolation
    induction.
  \item[AFPRLS]  Algebraic number field polynomial real root list separation.
  \item[AFPRRI]  Algebraic number field polynomial relative real root
    isolation.
  \item[AFPRRS]  Algebraic number field polynomial real root separation.
  \item[AFPSUM]  Algebraic number field polynomial sum.
  \item[AFPWRITE]  Algebraic number field polynomial write.
  \item[AFUPBRI]  Algebraic number field univariate polynomial basis real root
    isolation.
  \item[AFUPFAC]  Algebraic number field univariate polynomial factorization.
  \item[AFUPGC]  Algebraic number field univariate polynomial greatest common
    divisor and cofactors.
  \item[AFUPGS]  Algebraic number field polynomial greatest squarefree
    divisior.
  \item[AFUPIIR]  Algebraic number field polynomial isolating interval
    refinement.
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AFUPMPR]  Algebraic number field univariate polynomial minimal
    polynomial of a real root.
  \item[AFUPMPR]  Algebraic number field univariate polynomial minimal
    polynomial of a real root.
  \item[AFUPRB]  Algebraic number field univariate polynomial root bound.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[AFUPRICS]  Algebraic univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AFUPRII]  Algebraic number field univariate polynomial real root
    isolation induction.
  \item[AFUPRL]  Algebraic number field univariate polynomial, root of a
    linear polynomial.
  \item[AFUPRL]  Algebraic number field univariate polynomial, root of a
    linear polynomial.
  \item[AFUPRLS]  Algebraic number field univariate polynomial real root list
    separation.
  \item[AFUPRRI]  Algebraic number field univariate polynomial relative real
    root isolation.
  \item[AFUPRRS]  Algebraic number field univariate polynomial real root
    separation.
  \item[AFUPSF]  Algebraic number field univariate polynomial squarefree
    factorization.
  \item[AFUPSFN]  Algebraic number field univariate polynomial squarefree
    norm.
  \item[AFUPSR]  Algebraic number field univariate polynomial, sign at a
    rational point.
  \item[AFUPVAR]  Algebraic number field univariate polynomial variations.
  \item[AFUPWRITE]  Algebraic number field univariate polynomial write.
  \item[AMPDMV]  Algebraic module polynomial derivative, main variable.
  \item[AMPSAFP]  Algebraic module polynomial similar to algebraic field
    polynomial.
  \item[AMPSAFP]  Algebraic module polynomial similar to algebraic field
    polynomial.
  \item[AMUPBES]  Algebraic module univariate polynomial, binary rational
    evaluation of sign.
  \item[AMUPBHT]  Algebraic module univariate polynomial binary homothetic
    transformation.
  \item[AMUPIIR]  Algebraic module polynomial isolating interval refinement.
  \item[AMUPIIWS]  Algebraic module univariate polynomial isolating intervals
    weakly disjoint to strongly disjoint.
  \item[AMUPMPR]  Algebraic module univariate polynomial minimal polynomial of
    a real root.
  \item[AMUPMPR]  Algebraic module univariate polynomial minimal polynomial of
    a real root.
  \item[AMUPNT]  Algebraic module univariate polynomial negative
    transformation.
  \item[AMUPRBH]  Algebraic module univariate polynomial root bound and
    homothetic transformation.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \item[AMUPRLS]  Algebraic module univariate polynomial real root list
    separation.
  \item[AMUPRRS]  Algebraic module univariate polynomial real root separation.
  \item[AMUPSR]  Algebraic module univariate polynomial, sign at a rational
    point.
  \item[AMUPTR]  Algebraic module univariate polynomial translation.
  \item[AMUPTR1]  Algebraic module univariate polynomial translation by 1.
  \item[AMUPVARIR]  Algebraic module univariate polynomial variations,
    interval refinement.
  \item[DIIPREAD]  Distributive integral polynomial read.
  \item[DIIPWRITE]  Distributive integral polynomial write.
  \item[DIPDEG]  Distributive polynomial degree.
  \item[DIPFP]  Distributive polynomial from polynomial.
  \item[DIPFP]  Distributive polynomial from polynomial.
  \item[DIPINS]  Distributive polynomial, insert term.
  \item[DIRPREAD]  Distributive rational polynomial read.
  \item[DIRPWRITE]  Distributive rational polynomial write.
  \item[DMPPRD]  Dense modular polynomial product.
  \item[DMPSUM]  Dense modular polynomial sum.
  \item[DMUPNR]  Dense modular univariate polynomial natural remainder.
  \item[DPFP]  Dense polynomial from polynomial.
  \item[DPFP]  Dense polynomial from polynomial.
  \item[IPABS]  Integral polynomial absolute value.
  \item[IPAFME]  Integral polynomial, algebraic number field multiple
    evaluation.
  \item[IPBEILV]  Integral polynomial binary rational evaluation, integral
    polynomial result, leading variable.
  \item[IPBEILV]  Integral polynomial binary rational evaluation, integral
    polynomial result, leading variable.
  \item[IPBHT]  Integral polynomial binary homothetic transformation.
  \item[IPBHTLV]  Integral polynomial binary homothetic transformation,
    leading variable.
  \item[IPBHTMV]  Integral polynomial binary homothetic transformation, main
    variable.
  \item[IPBREI]  Integral polynomial binary rational evaluation, integral
    polynomial result.
  \item[IPBREI]  Integral polynomial binary rational evaluation, integral
    polynomial result.
  \item[IPC]  Integral polynomial content.
  \item[IPCEVP]  Integral polynomial, choice of evaluation points.
  \item[IPCONST]  Integral polynomial constant.
  \item[IPCPP]  Integral polynomial content and primitive part.
  \item[IPCRA]  Integral polynomial chinese remainder algorithm.
  \item[IPCSFB]  Integral polynomial coarsest squarefree basis.
  \item[IPDER]  Integral polynomial derivative.
  \item[IPDIF]  Integral polynomial difference.
  \item[IPDMV]  Integral polynomial derivative, main variable.
  \item[IPDSCR]  Integral polynomial discriminant.
  \item[IPDWRITE]  Integral Polynomial Distributive Write.
  \item[IPEMV]  Integral polynomial evaluation of main variable.
  \item[IPEVAL]  Integral polynomial evaluation.
  \item[IPEXP]  Integral polynomial exponentiation.
  \item[IPEXPREAD]  Integral polynomial expression read.
  \item[IPEXPREADR]  Integral polynomial expression read, remove terminating
    character.
  \item[IPFAC]  Integral polynomial factorization.
  \item[IPFACTREAD]  Integral polynomial factor read.
  \item[IPFCB]  Integral polynomial factor coefficient bound.
  \item[IPFLC]  Integral polynomial factor list combine.
  \item[IPFRP]  Integral polynomial from rational polynomial.
  \item[IPFRP]  Integral polynomial from rational polynomial.
  \item[IPFSD]  Integral polynomial factorization, second derivative.
  \item[IPFSFB]  Integral polynomial finest squarefree basis.
  \item[IPGCDC]  Integral polynomial greatest common divisor and cofactors.
  \item[IPGFCB]  Integral polynomial Gelfond factor coefficient bound.
  \item[IPGSUB]  Integral polynomial general substitution.
  \item[IPHDMV]  Integral polynomial higher derivative, main variable.
  \item[IPIC]  Integral polynomial integer content.
  \item[IPICPP]  Integral polynomial integer content and primitive part.
  \item[IPICS]  Integral polynomial integer content subroutine.
  \item[IPIHOM]  Integral polynomial mod ideal homomorphism.
  \item[IPIIWS]  Integral polynomial isolating intervals weakly disjoint to
    strongly disjoint.
  \item[IPINT]  Integral polynomial integration.
  \item[IPIP]  Integral polynomial integer product.
  \item[IPIPP]  Integral polynomial integer primitive part.
  \item[IPIPR]  Integral polynomial mod ideal product.
  \item[IPIQ]  Integral polynomial integer quotient.
  \item[IPIQH]  Integral polynomial mod ideal quadratic hensel lemma.
  \item[IPLCPP]  Integral polynomial list of contents and primitive parts.
  \item[IPLRRI]  Integral polynomial list real root isolation.
  \item[IPMAXN]  Integral polynomial maximum norm.
  \item[IPNEG]  Integral polynomial negative.
  \item[IPNT]  Integral polynomial negative transformation.
  \item[IPONE]  Integral polynomial one.
  \item[IPP2P]  Integral polynomial power of 2 product.
  \item[IPPGSD]  Integral polynomial primitive greatest squarefree divisor.
  \item[IPPOWREAD]  Integral polynomial power read.
  \item[IPPP]  Integral polynomial primitive part.
  \item[IPPROD]  Integral polynomial product.
  \item[IPPSC]  Integral polynomial principal subresultant coefficients.
  \item[IPPSR]  Integral polynomial pseudo-remainder.
  \item[IPQ]  Integral polynomial quotient.
  \item[IPQR]  Integral polynomial quotient and remainder.
  \item[IPRAN]  Integral polynomial, random.
  \item[IPRCH]  Integral polynomial real root calculation, high precision.
  \item[IPRCHS]  Integral polynomial real root calculation, high-precision
    special.
  \item[IPRCN1]  Integral polynomial real root calculation, 1 root.
  \item[IPRCNP]  Integral polynomial real root calculation, Newton method
    preparation.
  \item[IPREAD]  Integral polynomial read.
  \item[IPRES]  Integral polynomial resultant.
  \item[IPRICL]  Integral polynomial real root isolation, Collins-Loos
    algorithm.
  \item[IPRIM]  Integral polynomial real root isolation, modified Uspensky
    method.
  \item[IPRIMO]  Integral polynomial real root isolation, modified Uspensky
    method, open interval.
  \item[IPRIMS]  Integral polynomial real root isolation, modified Uspensky
    method, standard interval.
  \item[IPRIMU]  Integral polynomial real root isolation, modified Uspensky
    method, unit interval.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \item[IPRPRS]  Integral polynomial reduced polynomial remainder sequence.
  \item[IPRPRS]  Integral polynomial reduced polynomial remainder sequence.
  \item[IPRRII]  Integral polynomial real root isolation induction.
  \item[IPRRLS]  Integral polynomial real root list separation.
  \item[IPRRRI]  Integral polynomial relative real root isolation.
  \item[IPRRS]  Integral polynomial real root separation.
  \item[IPSCPP]  Integral polynomial sign, content, and primitive part.
  \item[IPSF]  Integral polynomial squarefree factorization.
  \item[IPSFBA]  Integral polynomial squarefree basis augmentation.
  \item[IPSIFI]  Integral polynomial standard isolating interval from
    isolating interval.
  \item[IPSIGN]  Integral polynomial sign.
  \item[IPSMV]  Integral polynomial substitution for main variable.
  \item[IPSPRS]  Integral polynomial subresultant polynomial remainder
    sequence.
  \item[IPSPRS]  Integral polynomial subresultant polynomial remainder
    sequence.
  \item[IPSRM]  Integral polynomial strong real root isolation, modified
    Uspensky method.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \item[IPSRP]  Integral polynomial similiar to rational polynomial.
  \item[IPSRP]  Integral polynomial similiar to rational polynomial.
  \item[IPSUB]  Integral polynomial substitution.
  \item[IPSUM]  Integral polynomial sum.
  \item[IPSUMN]  Integral polynomial sum norm.
  \item[IPTERMREAD]  Integral polynomial term read.
  \item[IPTPR]  Integral polynomial truncated product.
  \item[IPTR]  Integral polynomial translation, specified variable.
  \item[IPTR1]  Integral polynomial translation by one, specified variable.
  \item[IPTR1LV]  Integral polynomial translation by one, leading variable.
  \item[IPTRAN]  Integral polynomial translation.
  \item[IPTRLV]  Integral polynomial translation, leading variable.
  \item[IPTRMV]  Integral polynomial translation, main variable.
  \item[IPTRUN]  Integral polynomial truncation.
  \item[IPVCHT]  Integral polynomial variations after circle to half-plane
    transformation.
  \item[IPWRITE]  Integral polynomial write.
  \item[ISFPF]  Integral squarefree polynomial factorization.
  \item[ISFPIR]  Integral squarefree polynomial isolating interval refinement.
  \item[ISPSFB]  Integral squarefree polynomial squarefree basis.
  \item[IUPBEI]  Integral univariate polynomial binary rational evaluation,
    integer output.
  \item[IUPBES]  Integral univariate polynomial binary rational evaluation of
    sign.
  \item[IUPBHT]  Integral univariate polynomial binary homothetic
    transformation.
  \item[IUPBRE]  Integral univariate polynomial binary rational evaluation.
  \item[IUPCHT]  Integral univariate polynomial circle to half-plane
    transformation.
  \item[IUPFAC]  Integral univariate polynomial factorization.
  \item[IUPFDS]  Integral univariate polynomial factor degree set.
  \item[IUPIHT]  Integral univariate polynomial integer homothetic
    transformation.
  \item[IUPIIR]  Integral univariate polynomial isolating interval refinement.
  \item[IUPNT]  Integral univariate polynomial negative transformation.
  \item[IUPQH]  Integral univariate polynomial quadratic hensel lemma.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[IUPRB]  Integral univariate polynomial root bound.
  \item[IUPRC]  Integral univariate polynomial resultant and cofactor.
  \item[IUPRLP]  Integral univariate polynomial, root of a linear polynomial.
  \item[IUPRLP]  Integral univariate polynomial, root of a linear polynomial.
  \item[IUPSR]  Integral univariate polynomial semi-remainder.
  \item[IUPTPR]  Integral univariate polynomial truncated product.
  \item[IUPTR]  Integral univariate polynomial translation.
  \item[IUPTR1]  Integral univariate polynomial translation by 1.
  \item[IUPVAR]  Integral univariate polynomial variations.
  \item[IUPVOI]  Integral univariate polynomial, variations for open interval.
  \item[IUPVSI]  Integral univariate polynomial, variations for standard
    interval.
  \item[IUPWRITE]  Integral univariate polynomial write.
  \item[IUSFPF]  Integral univariate squarefree polynomial factorization.
  \item[MIPDIF]  Modular integral polynomial difference.
  \item[MIPFSM]  Modular integral polynomial from symmetric modular.
  \item[MIPHOM]  Modular integral polynomial homomorphism.
  \item[MIPIPR]  Modular integral polynomial mod ideal product.
  \item[MIPISE]  Modular integral polynomial mod ideal, solution of equation.
  \item[MIPNEG]  Modular integral polynomial negation.
  \item[MIPPR]  Modular integral polynomial product.
  \item[MIPRAN]  Modular integral polynomial, random.
  \item[MIPSUM]  Modular integral polynomial sum.
  \item[MIUPQR]  Modular integral univariate polynomial quotient and
    remainder.
  \item[MIUPSE]  Modular integral univariate polynomial, solution of equation.
  \item[MMPIQR]  Modular monic polynomial mod ideal quotient and remainder.
  \item[MPDIF]  Modular polynomial difference.
  \item[MPEMV]  Modular polynomial evaluation of main variable.
  \item[MPEVAL]  Modular polynomial evaluation.
  \item[MPEXP]  Modular polynomial exponentiation.
  \item[MPGCDC]  Modular polynomial greatest common divisor and cofactors.
  \item[MPHOM]  Modular polynomial homomorphism.
  \item[MPINT]  Modular polynomial interpolation.
  \item[MPIQH]  Modular polynomial mod ideal, quadratic Hensel lemma.
  \item[MPIQHL]  Modular polynomial mod ideal quadratic hensel lemma, list.
  \item[MPIQHS]  Modular polynomial mod ideal, quadratic Hensel lemma on a
    single variable.
  \item[MPMDP]  Modular polynomial modular digit product.
  \item[MPMON]  Modular polynomial monic.
  \item[MPNEG]  Modular polynomial negative.
  \item[MPPROD]  Modular polynomial product.
  \item[MPPSR]  Modular polynomial pseudo-remainder.
  \item[MPQ]  Modular polynomial quotient.
  \item[MPQR]  Modular polynomial quotient and remainder.
  \item[MPRAN]  Modular polynomial, random.
  \item[MPRES]  Modular polynomial resultant.
  \item[MPSPRS]  Modular polynomial subresultant polynomial remainder
    sequence.
  \item[MPSPRS]  Modular polynomial subresultant polynomial remainder
    sequence.
  \item[MPSUM]  Modular polynomial sum.
  \item[MPUC]  Modular polynomial univariate content.
  \item[MPUCPP]  Modular polynomial univariate content and primitive part.
  \item[MPUCS]  Modular polynomial univariate content subroutine.
  \item[MPUP]  Modular polynomial univariate product.
  \item[MPUPP]  Modular polynomial univariate primitive part.
  \item[MPUQ]  Modular polynomial univariate quotient.
  \item[MUPBQP]  Modular univariate polynomial berlekamp Q polynomials
    construction.
  \item[MUPDDF]  Modular univariate polynomial distinct degree factorization.
  \item[MUPDER]  Modular univariate polynomial derivative.
  \item[MUPEGC]  Modular univariate polynomial extended greatest common
    divisor.
  \item[MUPFBL]  Modular univariate polynomial factorization-berlekamp
    algorithm.
  \item[MUPFS]  Modular univariate polynomial factorization, special.
  \item[MUPGCD]  Modular univariate polynomial greatest common divisor.
  \item[MUPHEG]  Modular univariate polynomial half-extended greatest common
    divisor.
  \item[MUPRAN]  Modular univariate polynomial, random.
  \item[MUPRC]  Modular univariate polynomial resultant and cofactor.
  \item[MUPRES]  Modular univariate polynomial resultant.
  \item[MUPSFF]  Modular univariate polynomial squarefree factorization.
  \item[PBIN]  Polynomial binomial.
  \item[PCL]  Polynomial coefficient list.
  \item[PCONST]  Polynomial constant. PCPV Polynomial cyclic permutation of
    variables.
  \item[PCONST]  Polynomial constant. PCPV Polynomial cyclic permutation of
    variables.
  \item[PDBORD]  Polynomial divided by order.
  \item[PDEG]  Polynomial degree.
  \item[PDEGSV]  Polynomial degree, specified variable.
  \item[PDEGV]  Polynomial degree vector.
  \item[PDPV]  Polynomial division by power of variable.
  \item[PFBRE]  Polynomial From Base Ring Element.
  \item[PFDIP]  Polynomial from distributive polynomial.
  \item[PFDIP]  Polynomial from distributive polynomial.
  \item[PFDP]  Polynomial from dense polynomial. PICPV Polynomial inverse
    cyclic permutation of variables.
  \item[PFDP]  Polynomial from dense polynomial. PICPV Polynomial inverse
    cyclic permutation of variables.
  \item[PFDP]  Polynomial from dense polynomial. PICPV Polynomial inverse
    cyclic permutation of variables.
  \item[PINV]  Polynomial introduction of new variables.
  \item[PLBCF]  Polynomial leading base coefficient.
  \item[PLDCF]  Polynomial leading coefficient.
  \item[PMDEG]  Polynomial modified degree.
  \item[PMON]  Polynomial monomial.
  \item[PMPMV]  Polynomial multiplication by power of main variable.
  \item[PORD]  Polynomial order.
  \item[PPERMV]  Polynomial permutation of variables.
  \item[PRED]  Polynomial reductum.
  \item[PRT]  Polynomial reciprocal transformation.
  \item[PSDSV]  Polynomial special decomposition, specified variable.
  \item[PTBCF]  Polynomial trailing base coefficient.
  \item[PTMV]  Polynomial transpose main variables. PTV Polynomial transpose
    variables.
  \item[PTMV]  Polynomial transpose main variables. PTV Polynomial transpose
    variables.
  \item[PUFP]  Polynomial, univariate, from polynomial.
  \item[PUFP]  Polynomial, univariate, from polynomial.
  \item[PUNT]  Polynomial univariate test.
  \item[RPAFME]  Rational polynomial, algebraic number field multiple
    evaluation.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \item[RPDIF]  Rational polynomial difference.
  \item[RPDMV]  Rational polynomial derivative, main variable.
  \item[RPDWRITE]  Rational Polynomial Distributive Write.
  \item[RPEMV]  Rational polynomial evaluation, main variable.
  \item[RPEXPREAD]  Rational polynomial expression read.
  \item[RPFACTREAD]  Rational polynomial factor read.
  \item[RPFIP]  Rational polynomial from integral polynomial.
  \item[RPFIP]  Rational polynomial from integral polynomial.
  \item[RPIMV]  Rational polynomial integration, main variable.
  \item[RPMAIP]  Rational polynomial monic associate of integral polynomial.
  \item[RPMAIP]  Rational polynomial monic associate of integral polynomial.
  \item[RPNEG]  Rational polynomial negative.
  \item[RPPOWREAD]  Rational polynomial power read.
  \item[RPPROD]  Rational polynomial product.
  \item[RPQR]  Rational polynomial quotient and remainder.
  \item[RPREAD]  Rational polynomial read.
  \item[RPRNP]  Rational polynomial rational number product.
  \item[RPSUM]  Rational polynomial sum.
  \item[RPTERMREAD]  Rational polynomial term read.
  \item[RPWRITE]  Rational polynomial write.
  \item[RUPWRITE]  Rational univariate polynomial write.
  \item[SMFMIP]  Symmetric modular from modular integral polynomial.
  \item[VMPIP]  Vector of modular polynomial inner product.
  \end{description}
\item[polynomials] \ \ 
  \begin{description}
  \item[MAIPDE]  Matrix of integral polynomials determinant, exact division
    algorithm.
  \item[MAIPDM]  Matrix of integral polynomials determinant, modular
    algorithm.
  \item[MAIPHM]  Matrix of integral polynomials homomorphism.
  \item[MAIPP]  Matrix of integral polynomials product.
  \item[MCPMV]  Matrix of coefficients of polynomials, with respect to main
    variable.
  \item[MMPDMA]  Matrix of modular polynomials determinant, modular algorithm.
  \item[MMPEV]  Matrix of modular polynomials evaluation.
  \item[MUPBQP]  Modular univariate polynomial berlekamp Q polynomials
    construction.
  \end{description}
\item[power] \ \ 
  \begin{description}
  \item[IDP2]  Integer division by power of 2.
  \item[IMP2]  Integer multiplication by power of 2.
  \item[IPOWER]  Integer power.
  \item[IPP2P]  Integral polynomial power of 2 product.
  \item[IPPOWREAD]  Integral polynomial power read.
  \item[PDPV]  Polynomial division by power of variable.
  \item[PMPMV]  Polynomial multiplication by power of main variable.
  \item[RNP2]  Rational number power of 2.
  \item[RPPOWREAD]  Rational polynomial power read.
  \end{description}
\item[precision] \ \ 
  \begin{description}
  \item[IPRCH]  Integral polynomial real root calculation, high precision.
  \item[IPRCHS]  Integral polynomial real root calculation, high-precision
    special.
  \item[SFCCON]  Single-precision floating-point complex conjugation.
  \item[SFCDIF]  Single-precision floating-point complex difference.
  \item[SFCFR]  Single-precision floating-point complex from real.
  \item[SFCIP]  Single-precision floating-point complex, imaginary part.
  \item[SFCMSQ]  Single-precision floating-point complex modulus squared.
  \item[SFCNEG]  Single-precision floating-point complex negation.
  \item[SFCPR]  Single-precision floating-point complex product.
  \item[SFCQ]  Single-precision floating-point complex quotient.
  \item[SFCRP]  Single-precision floating-point complex, real part.
  \item[SFCSUM]  Single-precision floating-point complex sum.
  \item[SFIFI]  Single-precision floating-point interval from integer.
  \item[SFRABS]  Single-precision floating-point real absolute value.
  \item[SFRDIF]  Single-precision floating-point real difference.
  \item[SFRLS]  Single-precision floating-point real number lower sum.
  \item[SFRNEG]  Single-precision floating-point real negation.
  \item[SFRPR]  Single-precision floating-point real product.
  \item[SFRQ]  Single-precision floating-point real quotient.
  \item[SFRSUM]  Single-precision floating-point real sum.
  \end{description}
\item[preparation] \ \ 
  \begin{description}
  \item[IPRCNP]  Integral polynomial real root calculation, Newton method
    preparation.
  \end{description}
\item[primality] \ \ 
  \begin{description}
  \item[ISPT]  Integer selfridge primality test.
  \end{description}
\item[prime] \ \ 
  \begin{description}
  \item[DPGEN]  Digit prime generator.
  \item[GDPGEN]  Gaussian digit prime generator.
  \item[ILPDS]  Integer large prime divisor search.
  \item[IMPDS]  Integer medium prime divisor search.
  \item[ISPD]  Integer small prime divisors.
  \end{description}
\item[primitive] \ \ 
  \begin{description}
  \item[ANIIPE]  Algebraic number isolating interval for a primitive element.
  \item[ANPEDE]  [Algebraic number primitive element for a double extension.
  \item[ANREPE]  Algebraic number represent element of a primitive extension.
  \item[IPCPP]  Integral polynomial content and primitive part.
  \item[IPICPP]  Integral polynomial integer content and primitive part.
  \item[IPIPP]  Integral polynomial integer primitive part.
  \item[IPLCPP]  Integral polynomial list of contents and primitive parts.
  \item[IPPGSD]  Integral polynomial primitive greatest squarefree divisor.
  \item[IPPP]  Integral polynomial primitive part.
  \item[IPSCPP]  Integral polynomial sign, content, and primitive part.
  \item[MPUCPP]  Modular polynomial univariate content and primitive part.
  \item[MPUPP]  Modular polynomial univariate primitive part.
  \end{description}
\item[principal] \ \ 
  \begin{description}
  \item[IPPSC]  Integral polynomial principal subresultant coefficients.
  \end{description}
\item[problem] \ \ 
  \begin{description}
  \item[ASSPR]  Assignment problem.
  \end{description}
\item[process] \ \ 
  \begin{description}
  \item[ARGSACLIB]  Process the command line arguments.
  \end{description}
\item[product] \ \ 
  \begin{description}
  \item[AFPAFP]  Algebraic number field polynomial algebraic number field
    element product.
  \item[AFPPR]  Algebraic number field polynomial product.
  \item[AFPROD]  Algebraic number field element product.
  \item[ANPROD]  Algebraic number product.
  \item[CPLEXN]  Cartesian product, lexicographically next.
  \item[DMPPRD]  Dense modular polynomial product.
  \item[DPR]  Digit product.
  \item[IDIPR2]  Integer digit inner product, length 2.
  \item[IDPR]  Integer-digit product.
  \item[IPIP]  Integral polynomial integer product.
  \item[IPIPR]  Integral polynomial mod ideal product.
  \item[IPP2P]  Integral polynomial power of 2 product.
  \item[IPPROD]  Integral polynomial product.
  \item[IPROD]  Integer product.
  \item[IPRODK]  Integer product, karatsuba algorithm.
  \item[IPTPR]  Integral polynomial truncated product.
  \item[IUPTPR]  Integral univariate polynomial truncated product.
  \item[MAIPP]  Matrix of integral polynomials product.
  \item[MDPROD]  Modular digit product.
  \item[MIPIPR]  Modular integral polynomial mod ideal product.
  \item[MIPPR]  Modular integral polynomial product.
  \item[MIPROD]  Modular integer product.
  \item[MPMDP]  Modular polynomial modular digit product.
  \item[MPPROD]  Modular polynomial product.
  \item[MPUP]  Modular polynomial univariate product.
  \item[RIPROD]  Rational interval product.
  \item[RIRNP]  Rational interval rational number product.
  \item[RNPROD]  Rational number product.
  \item[RPPROD]  Rational polynomial product.
  \item[RPRNP]  Rational polynomial rational number product.
  \item[SFCPR]  Single-precision floating-point complex product.
  \item[SFRPR]  Single-precision floating-point real product.
  \item[VISPR]  Vector of integers scalar product.
  \item[VMPIP]  Vector of modular polynomial inner product.
  \end{description}
\item[pseudo] \ \ 
  \begin{description}
  \item[IPPSR]  Integral polynomial pseudo-remainder.
  \item[MPPSR]  Modular polynomial pseudo-remainder.
  \end{description}
\item[ptv] \ \ 
  \begin{description}
  \item[PTMV]  Polynomial transpose main variables. PTV Polynomial transpose
    variables.
  \end{description}
\item[q] \ \ 
  \begin{description}
  \item[MUPBQP]  Modular univariate polynomial berlekamp Q polynomials
    construction.
  \end{description}
\item[quadratic] \ \ 
  \begin{description}
  \item[IPIQH]  Integral polynomial mod ideal quadratic hensel lemma.
  \item[IUPQH]  Integral univariate polynomial quadratic hensel lemma.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[MPIQH]  Modular polynomial mod ideal, quadratic Hensel lemma.
  \item[MPIQHL]  Modular polynomial mod ideal quadratic hensel lemma, list.
  \item[MPIQHS]  Modular polynomial mod ideal, quadratic Hensel lemma on a
    single variable.
  \end{description}
\item[quotient] \ \ 
  \begin{description}
  \item[AFPAFQ]  Algebraic number field polynomial algebraic number field
    element quotient.
  \item[AFPQR]  Algebraic number field polynomial quotient and remainder.
  \item[AFQ]  Algebraic number field quotient.
  \item[DQR]  Digit quotient and remainder.
  \item[IDQ]  Integer-digit quotient.
  \item[IDQR]  Integer-digit quotient and remainder.
  \item[IPIQ]  Integral polynomial integer quotient.
  \item[IPQ]  Integral polynomial quotient.
  \item[IPQR]  Integral polynomial quotient and remainder.
  \item[IQ]  Integer quotient.
  \item[IQR]  Integer quotient and remainder.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[MDQ]  Modular digit quotient.
  \item[MIQ]  Modular integer quotient.
  \item[MIUPQR]  Modular integral univariate polynomial quotient and
    remainder.
  \item[MMPIQR]  Modular monic polynomial mod ideal quotient and remainder.
  \item[MPQ]  Modular polynomial quotient.
  \item[MPQR]  Modular polynomial quotient and remainder.
  \item[MPUQ]  Modular polynomial univariate quotient.
  \item[QREM]  Quotient and remainder.
  \item[RNQ]  Rational number quotient.
  \item[RPQR]  Rational polynomial quotient and remainder.
  \item[SFCQ]  Single-precision floating-point complex quotient.
  \item[SFRQ]  Single-precision floating-point real quotient.
  \end{description}
\item[random] \ \ 
  \begin{description}
  \item[BITRAN]  Bit, random.
  \item[DRAN]  Digit, random.
  \item[DRANN]  Digit, random non-negative.
  \item[IPRAN]  Integral polynomial, random.
  \item[IRAND]  Integer, random.
  \item[MDRAN]  Modular digit, random.
  \item[MIPRAN]  Modular integral polynomial, random.
  \item[MIRAN]  Modular integer, random.
  \item[MPRAN]  Modular polynomial, random.
  \item[MUPRAN]  Modular univariate polynomial, random.
  \item[PARTR]  Partition, random.
  \item[PERMR]  Permutation, random.
  \item[RNRAND]  Rational number, random.
  \end{description}
\item[rational] \ \ 
  \begin{description}
  \item[AFFRN]  Algebraic number field element from rational number.
  \item[AFPFRP]  Algebraic number field polynomial from rational polynomial.
  \item[AFUPSR]  Algebraic number field univariate polynomial, sign at a
    rational point.
  \item[AMUPBES]  Algebraic module univariate polynomial, binary rational
    evaluation of sign.
  \item[AMUPSR]  Algebraic module univariate polynomial, sign at a rational
    point.
  \item[DIRPREAD]  Distributive rational polynomial read.
  \item[DIRPWRITE]  Distributive rational polynomial write.
  \item[IPBEILV]  Integral polynomial binary rational evaluation, integral
    polynomial result, leading variable.
  \item[IPBREI]  Integral polynomial binary rational evaluation, integral
    polynomial result.
  \item[IPFRP]  Integral polynomial from rational polynomial.
  \item[IPSRP]  Integral polynomial similiar to rational polynomial.
  \item[IUPBEI]  Integral univariate polynomial binary rational evaluation,
    integer output.
  \item[IUPBES]  Integral univariate polynomial binary rational evaluation of
    sign.
  \item[IUPBRE]  Integral univariate polynomial binary rational evaluation.
  \item[RIB]  Rational interval bisection.
  \item[RIL]  Rational interval length.
  \item[RILC]  Rational interval length comparison.
  \item[RINEG]  Rational interval negation.
  \item[RINT]  Rational interval normalizing transformation.
  \item[RIPROD]  Rational interval product.
  \item[RIRNP]  Rational interval rational number product.
  \item[RIRNP]  Rational interval rational number product.
  \item[RISIGN]  Rational interval sign.
  \item[RISUM]  Rational interval sum.
  \item[RNABS]  Rational number absolute value.
  \item[RNBCR]  Rational number binary common representation.
  \item[RNCEIL]  Rational number, ceiling of.
  \item[RNCOMP]  Rational number comparison.
  \item[RNDEN]  Rational number denominator.
  \item[RNDIF]  Rational number difference.
  \item[RNDWRITE]  Rational number decimal write.
  \item[RNFCL2]  Rational number floor and ceiling of logarithm, base 2.
  \item[RNFLOR]  Rational number, floor of.
  \item[RNINT]  Rational number from integer.
  \item[RNINV]  Rational number inverse.
  \item[RNMAX]  Rational number max.
  \item[RNMIN]  Rational number min.
  \item[RNNEG]  Rational number negative.
  \item[RNNUM]  Rational number numerator.
  \item[RNP2]  Rational number power of 2.
  \item[RNPROD]  Rational number product.
  \item[RNQ]  Rational number quotient.
  \item[RNRAND]  Rational number, random.
  \item[RNREAD]  Rational number read.
  \item[RNRED]  Rational number reduction to lowest terms.
  \item[RNSIGN]  Rational number sign.
  \item[RNSUM]  Rational number sum.
  \item[RNWRITE]  Rational number write.
  \item[RPAFME]  Rational polynomial, algebraic number field multiple
    evaluation.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \item[RPDIF]  Rational polynomial difference.
  \item[RPDMV]  Rational polynomial derivative, main variable.
  \item[RPDWRITE]  Rational Polynomial Distributive Write.
  \item[RPEMV]  Rational polynomial evaluation, main variable.
  \item[RPEXPREAD]  Rational polynomial expression read.
  \item[RPFACTREAD]  Rational polynomial factor read.
  \item[RPFIP]  Rational polynomial from integral polynomial.
  \item[RPIMV]  Rational polynomial integration, main variable.
  \item[RPMAIP]  Rational polynomial monic associate of integral polynomial.
  \item[RPNEG]  Rational polynomial negative.
  \item[RPPOWREAD]  Rational polynomial power read.
  \item[RPPROD]  Rational polynomial product.
  \item[RPQR]  Rational polynomial quotient and remainder.
  \item[RPREAD]  Rational polynomial read.
  \item[RPRNP]  Rational polynomial rational number product.
  \item[RPRNP]  Rational polynomial rational number product.
  \item[RPSUM]  Rational polynomial sum.
  \item[RPTERMREAD]  Rational polynomial term read.
  \item[RPWRITE]  Rational polynomial write.
  \item[RUPWRITE]  Rational univariate polynomial write.
  \end{description}
\item[read] \ \ 
  \begin{description}
  \item[AREAD]  Atom read.
  \item[CREAD]  Character read.
  \item[CREADB]  Character read.
  \item[DIIPREAD]  Distributive integral polynomial read.
  \item[DIRPREAD]  Distributive rational polynomial read.
  \item[GREAD]  Gamma-integer read.
  \item[IPEXPREAD]  Integral polynomial expression read.
  \item[IPEXPREADR]  Integral polynomial expression read, remove terminating
    character.
  \item[IPFACTREAD]  Integral polynomial factor read.
  \item[IPPOWREAD]  Integral polynomial power read.
  \item[IPREAD]  Integral polynomial read.
  \item[IPTERMREAD]  Integral polynomial term read.
  \item[IREAD]  Integer read.
  \item[LREAD]  List read.
  \item[OREAD]  Object read.
  \item[RNREAD]  Rational number read.
  \item[RPEXPREAD]  Rational polynomial expression read.
  \item[RPFACTREAD]  Rational polynomial factor read.
  \item[RPPOWREAD]  Rational polynomial power read.
  \item[RPREAD]  Rational polynomial read.
  \item[RPTERMREAD]  Rational polynomial term read.
  \item[VLREAD]  Variable list read.
  \item[VREAD]  Variable read.
  \end{description}
\item[real] \ \ 
  \begin{description}
  \item[AFPBRI]  Algebraic number field polynomial basis real root isolation.
  \item[AFPRCL]  Algebraic number field polynomial real root isolation,
    collins-loos algorithm.
  \item[AFPRII]  Algebraic number field polynomial real root isolation
    induction.
  \item[AFPRLS]  Algebraic number field polynomial real root list separation.
  \item[AFPRRI]  Algebraic number field polynomial relative real root
    isolation.
  \item[AFPRRS]  Algebraic number field polynomial real root separation.
  \item[AFUPBRI]  Algebraic number field univariate polynomial basis real root
    isolation.
  \item[AFUPMPR]  Algebraic number field univariate polynomial minimal
    polynomial of a real root.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[AFUPRICS]  Algebraic univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AFUPRII]  Algebraic number field univariate polynomial real root
    isolation induction.
  \item[AFUPRLS]  Algebraic number field univariate polynomial real root list
    separation.
  \item[AFUPRRI]  Algebraic number field univariate polynomial relative real
    root isolation.
  \item[AFUPRRS]  Algebraic number field univariate polynomial real root
    separation.
  \item[AMUPMPR]  Algebraic module univariate polynomial minimal polynomial of
    a real root.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRLS]  Algebraic module univariate polynomial real root list
    separation.
  \item[AMUPRRS]  Algebraic module univariate polynomial real root separation.
  \item[IPLRRI]  Integral polynomial list real root isolation.
  \item[IPRCH]  Integral polynomial real root calculation, high precision.
  \item[IPRCHS]  Integral polynomial real root calculation, high-precision
    special.
  \item[IPRCN1]  Integral polynomial real root calculation, 1 root.
  \item[IPRCNP]  Integral polynomial real root calculation, Newton method
    preparation.
  \item[IPRICL]  Integral polynomial real root isolation, Collins-Loos
    algorithm.
  \item[IPRIM]  Integral polynomial real root isolation, modified Uspensky
    method.
  \item[IPRIMO]  Integral polynomial real root isolation, modified Uspensky
    method, open interval.
  \item[IPRIMS]  Integral polynomial real root isolation, modified Uspensky
    method, standard interval.
  \item[IPRIMU]  Integral polynomial real root isolation, modified Uspensky
    method, unit interval.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \item[IPRRII]  Integral polynomial real root isolation induction.
  \item[IPRRLS]  Integral polynomial real root list separation.
  \item[IPRRRI]  Integral polynomial relative real root isolation.
  \item[IPRRS]  Integral polynomial real root separation.
  \item[IPSRM]  Integral polynomial strong real root isolation, modified
    Uspensky method.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \item[SFCFR]  Single-precision floating-point complex from real.
  \item[SFCRP]  Single-precision floating-point complex, real part.
  \item[SFRABS]  Single-precision floating-point real absolute value.
  \item[SFRDIF]  Single-precision floating-point real difference.
  \item[SFRLS]  Single-precision floating-point real number lower sum.
  \item[SFRNEG]  Single-precision floating-point real negation.
  \item[SFRPR]  Single-precision floating-point real product.
  \item[SFRQ]  Single-precision floating-point real quotient.
  \item[SFRSUM]  Single-precision floating-point real sum.
  \end{description}
\item[reciprocal] \ \ 
  \begin{description}
  \item[PRT]  Polynomial reciprocal transformation.
  \end{description}
\item[reduced] \ \ 
  \begin{description}
  \item[IPRPRS]  Integral polynomial reduced polynomial remainder sequence.
  \end{description}
\item[reduction] \ \ 
  \begin{description}
  \item[RNRED]  Rational number reduction to lowest terms.
  \item[VIERED]  Vector of integers, element reduction.
  \end{description}
\item[reductum] \ \ 
  \begin{description}
  \item[PRED]  Polynomial reductum.
  \item[RED]  Reductum 1.
  \item[RED2]  Reductum 2.
  \item[RED3]  Reductum 3.
  \item[RED4]  Reductum 4.
  \item[REDI]  Reductum.
  \item[SRED]  Set reductum.
  \end{description}
\item[refinement] \ \ 
  \begin{description}
  \item[AFUPIIR]  Algebraic number field polynomial isolating interval
    refinement.
  \item[AMSIGNIR]  Algebraic module sign, interval refinement.
  \item[AMUPIIR]  Algebraic module polynomial isolating interval refinement.
  \item[AMUPVARIR]  Algebraic module univariate polynomial variations,
    interval refinement.
  \item[ISFPIR]  Integral squarefree polynomial isolating interval refinement.
  \item[IUPIIR]  Integral univariate polynomial isolating interval refinement.
  \end{description}
\item[relative] \ \ 
  \begin{description}
  \item[AFPRRI]  Algebraic number field polynomial relative real root
    isolation.
  \item[AFUPRRI]  Algebraic number field univariate polynomial relative real
    root isolation.
  \item[IPRRRI]  Integral polynomial relative real root isolation.
  \end{description}
\item[remainder] \ \ 
  \begin{description}
  \item[AFPQR]  Algebraic number field polynomial quotient and remainder.
  \item[DMUPNR]  Dense modular univariate polynomial natural remainder.
  \item[DQR]  Digit quotient and remainder.
  \item[IDQR]  Integer-digit quotient and remainder.
  \item[IDREM]  Integer-digit remainder.
  \item[IPCRA]  Integral polynomial chinese remainder algorithm.
  \item[IPPSR]  Integral polynomial pseudo-remainder.
  \item[IPQR]  Integral polynomial quotient and remainder.
  \item[IPRPRS]  Integral polynomial reduced polynomial remainder sequence.
  \item[IPSPRS]  Integral polynomial subresultant polynomial remainder
    sequence.
  \item[IQR]  Integer quotient and remainder.
  \item[IREM]  Integer remainder.
  \item[IUPSR]  Integral univariate polynomial semi-remainder.
  \item[MDCRA]  Modular digit chinese remainder algorithm.
  \item[MDLCRA]  Modular digit list chinese remainder algorithm.
  \item[MIDCRA]  Modular integer digit chinese remainder algorithm.
  \item[MIUPQR]  Modular integral univariate polynomial quotient and
    remainder.
  \item[MMPIQR]  Modular monic polynomial mod ideal quotient and remainder.
  \item[MPPSR]  Modular polynomial pseudo-remainder.
  \item[MPQR]  Modular polynomial quotient and remainder.
  \item[MPSPRS]  Modular polynomial subresultant polynomial remainder
    sequence.
  \item[QREM]  Quotient and remainder.
  \item[REM]  GAMMA-digit remainder.
  \item[RPQR]  Rational polynomial quotient and remainder.
  \end{description}
\item[remove] \ \ 
  \begin{description}
  \item[IPEXPREADR]  Integral polynomial expression read, remove terminating
    character.
  \end{description}
\item[represent] \ \ 
  \begin{description}
  \item[ANREPE]  Algebraic number represent element of a primitive extension.
  \end{description}
\item[representation] \ \ 
  \begin{description}
  \item[AFCR]  Algebraic number field element convert representation.
  \item[AFICR]  Algebraic number field element inverse convert representation.
  \item[AFPCR]  Algebraic number field polynomial convert representation.
  \item[AFPICR]  Algebraic number field polynomial inverse convert
    representation.
  \item[RNBCR]  Rational number binary common representation.
  \end{description}
\item[representatives] \ \ 
  \begin{description}
  \item[SDR]  System of distinct representatives.
  \end{description}
\item[residue] \ \ 
  \begin{description}
  \item[FRESL]  Fermat residue list.
  \item[FRLSM]  Fermat residue list, single modulus.
  \end{description}
\item[respect] \ \ 
  \begin{description}
  \item[MCPMV]  Matrix of coefficients of polynomials, with respect to main
    variable.
  \end{description}
\item[result] \ \ 
  \begin{description}
  \item[IPBEILV]  Integral polynomial binary rational evaluation, integral
    polynomial result, leading variable.
  \item[IPBREI]  Integral polynomial binary rational evaluation, integral
    polynomial result.
  \end{description}
\item[resultant] \ \ 
  \begin{description}
  \item[IPRES]  Integral polynomial resultant.
  \item[IUPRC]  Integral univariate polynomial resultant and cofactor.
  \item[MPRES]  Modular polynomial resultant.
  \item[MUPRC]  Modular univariate polynomial resultant and cofactor.
  \item[MUPRES]  Modular univariate polynomial resultant.
  \end{description}
\item[ring] \ \ 
  \begin{description}
  \item[PFBRE]  Polynomial From Base Ring Element.
  \end{description}
\item[root] \ \ 
  \begin{description}
  \item[AFPBRI]  Algebraic number field polynomial basis real root isolation.
  \item[AFPRCL]  Algebraic number field polynomial real root isolation,
    collins-loos algorithm.
  \item[AFPRII]  Algebraic number field polynomial real root isolation
    induction.
  \item[AFPRLS]  Algebraic number field polynomial real root list separation.
  \item[AFPRRI]  Algebraic number field polynomial relative real root
    isolation.
  \item[AFPRRS]  Algebraic number field polynomial real root separation.
  \item[AFUPBRI]  Algebraic number field univariate polynomial basis real root
    isolation.
  \item[AFUPMPR]  Algebraic number field univariate polynomial minimal
    polynomial of a real root.
  \item[AFUPRB]  Algebraic number field univariate polynomial root bound.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[AFUPRICS]  Algebraic univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AFUPRII]  Algebraic number field univariate polynomial real root
    isolation induction.
  \item[AFUPRL]  Algebraic number field univariate polynomial, root of a
    linear polynomial.
  \item[AFUPRLS]  Algebraic number field univariate polynomial real root list
    separation.
  \item[AFUPRRI]  Algebraic number field univariate polynomial relative real
    root isolation.
  \item[AFUPRRS]  Algebraic number field univariate polynomial real root
    separation.
  \item[AMUPMPR]  Algebraic module univariate polynomial minimal polynomial of
    a real root.
  \item[AMUPRBH]  Algebraic module univariate polynomial root bound and
    homothetic transformation.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \item[AMUPRLS]  Algebraic module univariate polynomial real root list
    separation.
  \item[AMUPRRS]  Algebraic module univariate polynomial real root separation.
  \item[DSQRTF]  Digit square root function.
  \item[IPLRRI]  Integral polynomial list real root isolation.
  \item[IPRCH]  Integral polynomial real root calculation, high precision.
  \item[IPRCHS]  Integral polynomial real root calculation, high-precision
    special.
  \item[IPRCN1]  Integral polynomial real root calculation, 1 root.
  \item[IPRCN1]  Integral polynomial real root calculation, 1 root.
  \item[IPRCNP]  Integral polynomial real root calculation, Newton method
    preparation.
  \item[IPRICL]  Integral polynomial real root isolation, Collins-Loos
    algorithm.
  \item[IPRIM]  Integral polynomial real root isolation, modified Uspensky
    method.
  \item[IPRIMO]  Integral polynomial real root isolation, modified Uspensky
    method, open interval.
  \item[IPRIMS]  Integral polynomial real root isolation, modified Uspensky
    method, standard interval.
  \item[IPRIMU]  Integral polynomial real root isolation, modified Uspensky
    method, unit interval.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \item[IPRRII]  Integral polynomial real root isolation induction.
  \item[IPRRLS]  Integral polynomial real root list separation.
  \item[IPRRRI]  Integral polynomial relative real root isolation.
  \item[IPRRS]  Integral polynomial real root separation.
  \item[IPSRM]  Integral polynomial strong real root isolation, modified
    Uspensky method.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \item[IROOT]  Integer root.
  \item[ISQRT]  Integer square root.
  \item[IUPRB]  Integral univariate polynomial root bound.
  \item[IUPRLP]  Integral univariate polynomial, root of a linear polynomial.
  \end{description}
\item[rosser] \ \ 
  \begin{description}
  \item[LDSSBR]  Linear diophantine system solution, based on Rosser ideas.
  \end{description}
\item[rotation] \ \ 
  \begin{description}
  \item[LEROT]  List element rotation.
  \end{description}
\item[routine] \ \ 
  \begin{description}
  \item[main]  Default main routine.
  \end{description}
\item[saclib] \ \ 
  \begin{description}
  \item[BEGINSACLIB]  Begin SACLIB.
  \item[ENDSACLIB]  End saclib.
  \item[INFOSACLIB]  Write out usage information for SACLIB.
  \item[STATSACLIB]  Statistics of saclib.
  \end{description}
\item[scalar] \ \ 
  \begin{description}
  \item[VISPR]  Vector of integers scalar product.
  \end{description}
\item[search] \ \ 
  \begin{description}
  \item[ILPDS]  Integer large prime divisor search.
  \item[IMPDS]  Integer medium prime divisor search.
  \item[LSRCH]  List search.
  \item[VLSRCH]  Variable list search.
  \end{description}
\item[second] \ \ 
  \begin{description}
  \item[IPFSD]  Integral polynomial factorization, second derivative.
  \item[IPSFSD]  Integral squarefree factorization, second derivative.
  \item[SECOND]  Second.
  \end{description}
\item[segmentation] \ \ 
  \begin{description}
  \item[ISEG]  Integer segmentation.
  \end{description}
\item[selfridge] \ \ 
  \begin{description}
  \item[ISPT]  Integer selfridge primality test.
  \end{description}
\item[semi] \ \ 
  \begin{description}
  \item[IUPSR]  Integral univariate polynomial semi-remainder.
  \end{description}
\item[separation] \ \ 
  \begin{description}
  \item[AFPRLS]  Algebraic number field polynomial real root list separation.
  \item[AFPRRS]  Algebraic number field polynomial real root separation.
  \item[AFUPRLS]  Algebraic number field univariate polynomial real root list
    separation.
  \item[AFUPRRS]  Algebraic number field univariate polynomial real root
    separation.
  \item[AMUPRLS]  Algebraic module univariate polynomial real root list
    separation.
  \item[AMUPRRS]  Algebraic module univariate polynomial real root separation.
  \item[IPRRLS]  Integral polynomial real root list separation.
  \item[IPRRS]  Integral polynomial real root separation.
  \end{description}
\item[sequence] \ \ 
  \begin{description}
  \item[IPRPRS]  Integral polynomial reduced polynomial remainder sequence.
  \item[IPSPRS]  Integral polynomial subresultant polynomial remainder
    sequence.
  \item[MPSPRS]  Modular polynomial subresultant polynomial remainder
    sequence.
  \end{description}
\item[set] \ \ 
  \begin{description}
  \item[CSFPAR]  Characteristic set from partition.
  \item[CSINT]  Characteristic set intersection.
  \item[CSSUB]  Characteristic set subset.
  \item[CSUN]  Characteristic set union.
  \item[GCASET]  Garbage collected array set element.
  \item[IUPFDS]  Integral univariate polynomial factor degree set.
  \item[SDIFF]  Set difference.
  \item[SEQUAL]  Set equality.
  \item[SFCS]  Set from characteristic set.
  \item[SFCS]  Set from characteristic set.
  \item[SFIRST]  Set first element.
  \item[SINTER]  Set intersection.
  \item[SLELTI]  Set list element.
  \item[SRED]  Set reductum.
  \item[SUNION]  Set union.
  \item[USDIFF]  Unordered set difference.
  \item[USINT]  Unordered set intersection.
  \item[USUN]  Unordered set union.
  \end{description}
\item[shifted] \ \ 
  \begin{description}
  \item[ISSUM]  Integer shifted sum.
  \end{description}
\item[sign] \ \ 
  \begin{description}
  \item[AFSIGN]  Algebraic number field sign.
  \item[AFUPRICS]  Algebraic univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AFUPSR]  Algebraic number field univariate polynomial, sign at a
    rational point.
  \item[AMSIGN]  Algebraic module sign.
  \item[AMSIGNIR]  Algebraic module sign, interval refinement.
  \item[AMUPBES]  Algebraic module univariate polynomial, binary rational
    evaluation of sign.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \item[AMUPSR]  Algebraic module univariate polynomial, sign at a rational
    point.
  \item[IPSCPP]  Integral polynomial sign, content, and primitive part.
  \item[IPSIGN]  Integral polynomial sign.
  \item[ISIGNF]  Integer sign function.
  \item[IUPBES]  Integral univariate polynomial binary rational evaluation of
    sign.
  \item[RISIGN]  Rational interval sign.
  \item[RNSIGN]  Rational number sign.
  \item[RPBLGS]  Rational polynomial base coefficients least common multiple,
    greatest common divisor, and sign.
  \item[SIGN]  Sign.
  \end{description}
\item[similar] \ \ 
  \begin{description}
  \item[AMPSAFP]  Algebraic module polynomial similar to algebraic field
    polynomial.
  \end{description}
\item[similiar] \ \ 
  \begin{description}
  \item[IPSRP]  Integral polynomial similiar to rational polynomial.
  \end{description}
\item[single] \ \ 
  \begin{description}
  \item[FRLSM]  Fermat residue list, single modulus.
  \item[MPIQHS]  Modular polynomial mod ideal, quadratic Hensel lemma on a
    single variable.
  \item[SFCCON]  Single-precision floating-point complex conjugation.
  \item[SFCDIF]  Single-precision floating-point complex difference.
  \item[SFCFR]  Single-precision floating-point complex from real.
  \item[SFCIP]  Single-precision floating-point complex, imaginary part.
  \item[SFCMSQ]  Single-precision floating-point complex modulus squared.
  \item[SFCNEG]  Single-precision floating-point complex negation.
  \item[SFCPR]  Single-precision floating-point complex product.
  \item[SFCQ]  Single-precision floating-point complex quotient.
  \item[SFCRP]  Single-precision floating-point complex, real part.
  \item[SFCSUM]  Single-precision floating-point complex sum.
  \item[SFIFI]  Single-precision floating-point interval from integer.
  \item[SFRABS]  Single-precision floating-point real absolute value.
  \item[SFRDIF]  Single-precision floating-point real difference.
  \item[SFRLS]  Single-precision floating-point real number lower sum.
  \item[SFRNEG]  Single-precision floating-point real negation.
  \item[SFRPR]  Single-precision floating-point real product.
  \item[SFRQ]  Single-precision floating-point real quotient.
  \item[SFRSUM]  Single-precision floating-point real sum.
  \end{description}
\item[small] \ \ 
  \begin{description}
  \item[ISPD]  Integer small prime divisors.
  \end{description}
\item[solution] \ \ 
  \begin{description}
  \item[LDSMKB]  Linear diophantine system solution, modified Kannan and
    Bachem algorithm.
  \item[LDSSBR]  Linear diophantine system solution, based on Rosser ideas.
  \item[MIPISE]  Modular integral polynomial mod ideal, solution of equation.
  \item[MIUPSE]  Modular integral univariate polynomial, solution of equation.
  \end{description}
\item[sort] \ \ 
  \begin{description}
  \item[LBIBMS]  List of BETA-integers bubble-merge sort.
  \item[LBIBS]  List of BETA-integers bubble sort.
  \item[MICS]  Matrix of integers column sort.
  \end{description}
\item[space] \ \ 
  \begin{description}
  \item[MMDNSB]  Matrix of modular digits null-space basis.
  \end{description}
\item[special] \ \ 
  \begin{description}
  \item[IPRCHS]  Integral polynomial real root calculation, high-precision
    special.
  \item[MUPFS]  Modular univariate polynomial factorization, special.
  \item[PSDSV]  Polynomial special decomposition, specified variable.
  \end{description}
\item[specified] \ \ 
  \begin{description}
  \item[IPTR]  Integral polynomial translation, specified variable.
  \item[IPTR1]  Integral polynomial translation by one, specified variable.
  \item[PDEGSV]  Polynomial degree, specified variable.
  \item[PSDSV]  Polynomial special decomposition, specified variable.
  \end{description}
\item[square] \ \ 
  \begin{description}
  \item[DSQRTF]  Digit square root function.
  \item[ISQRT]  Integer square root.
  \end{description}
\item[squared] \ \ 
  \begin{description}
  \item[SFCMSQ]  Single-precision floating-point complex modulus squared.
  \end{description}
\item[squarefree] \ \ 
  \begin{description}
  \item[AFUPGS]  Algebraic number field polynomial greatest squarefree
    divisior.
  \item[AFUPSF]  Algebraic number field univariate polynomial squarefree
    factorization.
  \item[AFUPSFN]  Algebraic number field univariate polynomial squarefree
    norm.
  \item[IPCSFB]  Integral polynomial coarsest squarefree basis.
  \item[IPFSFB]  Integral polynomial finest squarefree basis.
  \item[IPPGSD]  Integral polynomial primitive greatest squarefree divisor.
  \item[IPSF]  Integral polynomial squarefree factorization.
  \item[IPSFBA]  Integral polynomial squarefree basis augmentation.
  \item[IPSFSD]  Integral squarefree factorization, second derivative.
  \item[ISFPF]  Integral squarefree polynomial factorization.
  \item[ISFPIR]  Integral squarefree polynomial isolating interval refinement.
  \item[ISPSFB]  Integral squarefree polynomial squarefree basis.
  \item[ISPSFB]  Integral squarefree polynomial squarefree basis.
  \item[IUSFPF]  Integral univariate squarefree polynomial factorization.
  \item[MUPSFF]  Modular univariate polynomial squarefree factorization.
  \end{description}
\item[standard] \ \ 
  \begin{description}
  \item[IPRIMS]  Integral polynomial real root isolation, modified Uspensky
    method, standard interval.
  \item[IPSIFI]  Integral polynomial standard isolating interval from
    isolating interval.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \item[IUPVSI]  Integral univariate polynomial, variations for standard
    interval.
  \end{description}
\item[statistics] \ \ 
  \begin{description}
  \item[STATSACLIB]  Statistics of saclib.
  \end{description}
\item[stream] \ \ 
  \begin{description}
  \item[FILINE]  Flush the input stream line.
  \end{description}
\item[string] \ \ 
  \begin{description}
  \item[LFS]  List from String.
  \item[SWRITE]  String write.
  \end{description}
\item[strong] \ \ 
  \begin{description}
  \item[IPSRM]  Integral polynomial strong real root isolation, modified
    Uspensky method.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \end{description}
\item[strongly] \ \ 
  \begin{description}
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AMUPIIWS]  Algebraic module univariate polynomial isolating intervals
    weakly disjoint to strongly disjoint.
  \item[IPIIWS]  Integral polynomial isolating intervals weakly disjoint to
    strongly disjoint.
  \end{description}
\item[subresultant] \ \ 
  \begin{description}
  \item[IPPSC]  Integral polynomial principal subresultant coefficients.
  \item[IPSPRS]  Integral polynomial subresultant polynomial remainder
    sequence.
  \item[MPSPRS]  Modular polynomial subresultant polynomial remainder
    sequence.
  \end{description}
\item[subroutine] \ \ 
  \begin{description}
  \item[IPICS]  Integral polynomial integer content subroutine.
  \item[MPUCS]  Modular polynomial univariate content subroutine.
  \end{description}
\item[subset] \ \ 
  \begin{description}
  \item[CSSUB]  Characteristic set subset.
  \end{description}
\item[substitution] \ \ 
  \begin{description}
  \item[IPGSUB]  Integral polynomial general substitution.
  \item[IPSMV]  Integral polynomial substitution for main variable.
  \item[IPSUB]  Integral polynomial substitution.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \end{description}
\item[suffix] \ \ 
  \begin{description}
  \item[SUFFIX]  Suffix.
  \end{description}
\item[sum] \ \ 
  \begin{description}
  \item[AFPSUM]  Algebraic number field polynomial sum.
  \item[AFSUM]  Algebraic number field element sum.
  \item[ANSUM]  Algebraic number sum.
  \item[DMPSUM]  Dense modular polynomial sum.
  \item[IBCPS]  Integer binomial coefficient partial sum.
  \item[IPSUM]  Integral polynomial sum.
  \item[IPSUMN]  Integral polynomial sum norm.
  \item[ISSUM]  Integer shifted sum.
  \item[ISUM]  Integer sum.
  \item[MDSUM]  Modular digit sum.
  \item[MIPSUM]  Modular integral polynomial sum.
  \item[MISUM]  Modular integer sum.
  \item[MPSUM]  Modular polynomial sum.
  \item[RISUM]  Rational interval sum.
  \item[RNSUM]  Rational number sum.
  \item[RPSUM]  Rational polynomial sum.
  \item[SFCSUM]  Single-precision floating-point complex sum.
  \item[SFRLS]  Single-precision floating-point real number lower sum.
  \item[SFRSUM]  Single-precision floating-point real sum.
  \item[VISUM]  Vector of integers sum.
  \end{description}
\item[sumset] \ \ 
  \begin{description}
  \item[PARTSS]  Partition sumset.
  \end{description}
\item[symmetric] \ \ 
  \begin{description}
  \item[MIPFSM]  Modular integral polynomial from symmetric modular.
  \item[SMFMI]  Symmetric modular from modular integer.
  \item[SMFMIP]  Symmetric modular from modular integral polynomial.
  \end{description}
\item[system] \ \ 
  \begin{description}
  \item[GCSI]  Garbage collection, system independent.
  \item[LDSMKB]  Linear diophantine system solution, modified Kannan and
    Bachem algorithm.
  \item[LDSSBR]  Linear diophantine system solution, based on Rosser ideas.
  \item[SDR]  System of distinct representatives.
  \end{description}
\item[term] \ \ 
  \begin{description}
  \item[DIPINS]  Distributive polynomial, insert term.
  \item[IPTERMREAD]  Integral polynomial term read.
  \item[RPTERMREAD]  Rational polynomial term read.
  \end{description}
\item[terminating] \ \ 
  \begin{description}
  \item[IPEXPREADR]  Integral polynomial expression read, remove terminating
    character.
  \end{description}
\item[terms] \ \ 
  \begin{description}
  \item[RNRED]  Rational number reduction to lowest terms.
  \end{description}
\item[test] \ \ 
  \begin{description}
  \item[ISATOM]  Test for atom.
  \item[ISGCA]  Test for GCA handle.
  \item[ISLIST]  Test for non-empty list.
  \item[ISNIL]  Test for empty list.
  \item[ISOBJECT]  Test for object.
  \item[ISPT]  Integer selfridge primality test.
  \item[ISZERO]  Test for zero.
  \item[MEMBER]  Membership test.
  \item[PUNT]  Polynomial univariate test.
  \end{description}
\item[third] \ \ 
  \begin{description}
  \item[THIRD]  Third.
  \end{description}
\item[time] \ \ 
  \begin{description}
  \item[ACLOCK]  Clock minus garbage collection time.
  \end{description}
\item[trailing] \ \ 
  \begin{description}
  \item[PTBCF]  Polynomial trailing base coefficient.
  \end{description}
\item[transformation] \ \ 
  \begin{description}
  \item[AMUPBHT]  Algebraic module univariate polynomial binary homothetic
    transformation.
  \item[AMUPNT]  Algebraic module univariate polynomial negative
    transformation.
  \item[AMUPRBH]  Algebraic module univariate polynomial root bound and
    homothetic transformation.
  \item[IPBHT]  Integral polynomial binary homothetic transformation.
  \item[IPBHTLV]  Integral polynomial binary homothetic transformation,
    leading variable.
  \item[IPBHTMV]  Integral polynomial binary homothetic transformation, main
    variable.
  \item[IPNT]  Integral polynomial negative transformation.
  \item[IPVCHT]  Integral polynomial variations after circle to half-plane
    transformation.
  \item[IUPBHT]  Integral univariate polynomial binary homothetic
    transformation.
  \item[IUPCHT]  Integral univariate polynomial circle to half-plane
    transformation.
  \item[IUPIHT]  Integral univariate polynomial integer homothetic
    transformation.
  \item[IUPNT]  Integral univariate polynomial negative transformation.
  \item[MINNCT]  Matrix of integers, non-negative column transformation.
  \item[PRT]  Polynomial reciprocal transformation.
  \item[RINT]  Rational interval normalizing transformation.
  \item[VIUT]  Vector of integers, unimodular transformation.
  \end{description}
\item[translation] \ \ 
  \begin{description}
  \item[AMUPTR]  Algebraic module univariate polynomial translation.
  \item[AMUPTR1]  Algebraic module univariate polynomial translation by 1.
  \item[IPTR]  Integral polynomial translation, specified variable.
  \item[IPTR1]  Integral polynomial translation by one, specified variable.
  \item[IPTR1LV]  Integral polynomial translation by one, leading variable.
  \item[IPTRAN]  Integral polynomial translation.
  \item[IPTRLV]  Integral polynomial translation, leading variable.
  \item[IPTRMV]  Integral polynomial translation, main variable.
  \item[IUPTR]  Integral univariate polynomial translation.
  \item[IUPTR1]  Integral univariate polynomial translation by 1.
  \end{description}
\item[transpose] \ \ 
  \begin{description}
  \item[PTMV]  Polynomial transpose main variables. PTV Polynomial transpose
    variables.
  \item[PTMV]  Polynomial transpose main variables. PTV Polynomial transpose
    variables.
  \end{description}
\item[truncated] \ \ 
  \begin{description}
  \item[IPTPR]  Integral polynomial truncated product.
  \item[IUPTPR]  Integral univariate polynomial truncated product.
  \end{description}
\item[truncation] \ \ 
  \begin{description}
  \item[IPTRUN]  Integral polynomial truncation.
  \item[ITRUNC]  Integer truncation.
  \end{description}
\item[unimodular] \ \ 
  \begin{description}
  \item[VIUT]  Vector of integers, unimodular transformation.
  \end{description}
\item[union] \ \ 
  \begin{description}
  \item[CSUN]  Characteristic set union.
  \item[SUNION]  Set union.
  \item[USUN]  Unordered set union.
  \end{description}
\item[unit] \ \ 
  \begin{description}
  \item[IPRIMU]  Integral polynomial real root isolation, modified Uspensky
    method, unit interval.
  \end{description}
\item[univariate] \ \ 
  \begin{description}
  \item[AFUPBRI]  Algebraic number field univariate polynomial basis real root
    isolation.
  \item[AFUPFAC]  Algebraic number field univariate polynomial factorization.
  \item[AFUPGC]  Algebraic number field univariate polynomial greatest common
    divisor and cofactors.
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AFUPMPR]  Algebraic number field univariate polynomial minimal
    polynomial of a real root.
  \item[AFUPRB]  Algebraic number field univariate polynomial root bound.
  \item[AFUPRICL]  Algebraic number field univariate polynomial real root
    isolation, Collins-Loos algorithm.
  \item[AFUPRICS]  Algebraic univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AFUPRII]  Algebraic number field univariate polynomial real root
    isolation induction.
  \item[AFUPRL]  Algebraic number field univariate polynomial, root of a
    linear polynomial.
  \item[AFUPRLS]  Algebraic number field univariate polynomial real root list
    separation.
  \item[AFUPRRI]  Algebraic number field univariate polynomial relative real
    root isolation.
  \item[AFUPRRS]  Algebraic number field univariate polynomial real root
    separation.
  \item[AFUPSF]  Algebraic number field univariate polynomial squarefree
    factorization.
  \item[AFUPSFN]  Algebraic number field univariate polynomial squarefree
    norm.
  \item[AFUPSR]  Algebraic number field univariate polynomial, sign at a
    rational point.
  \item[AFUPVAR]  Algebraic number field univariate polynomial variations.
  \item[AFUPWRITE]  Algebraic number field univariate polynomial write.
  \item[AMUPBES]  Algebraic module univariate polynomial, binary rational
    evaluation of sign.
  \item[AMUPBHT]  Algebraic module univariate polynomial binary homothetic
    transformation.
  \item[AMUPIIWS]  Algebraic module univariate polynomial isolating intervals
    weakly disjoint to strongly disjoint.
  \item[AMUPMPR]  Algebraic module univariate polynomial minimal polynomial of
    a real root.
  \item[AMUPNT]  Algebraic module univariate polynomial negative
    transformation.
  \item[AMUPRBH]  Algebraic module univariate polynomial root bound and
    homothetic transformation.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \item[AMUPRLS]  Algebraic module univariate polynomial real root list
    separation.
  \item[AMUPRRS]  Algebraic module univariate polynomial real root separation.
  \item[AMUPSR]  Algebraic module univariate polynomial, sign at a rational
    point.
  \item[AMUPTR]  Algebraic module univariate polynomial translation.
  \item[AMUPTR1]  Algebraic module univariate polynomial translation by 1.
  \item[AMUPVARIR]  Algebraic module univariate polynomial variations,
    interval refinement.
  \item[DMUPNR]  Dense modular univariate polynomial natural remainder.
  \item[IUPBEI]  Integral univariate polynomial binary rational evaluation,
    integer output.
  \item[IUPBES]  Integral univariate polynomial binary rational evaluation of
    sign.
  \item[IUPBHT]  Integral univariate polynomial binary homothetic
    transformation.
  \item[IUPBRE]  Integral univariate polynomial binary rational evaluation.
  \item[IUPCHT]  Integral univariate polynomial circle to half-plane
    transformation.
  \item[IUPFAC]  Integral univariate polynomial factorization.
  \item[IUPFDS]  Integral univariate polynomial factor degree set.
  \item[IUPIHT]  Integral univariate polynomial integer homothetic
    transformation.
  \item[IUPIIR]  Integral univariate polynomial isolating interval refinement.
  \item[IUPNT]  Integral univariate polynomial negative transformation.
  \item[IUPQH]  Integral univariate polynomial quadratic hensel lemma.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[IUPQHL]  Integral univariate polynomial quadratic hensel lemma, list.
    IUPQS Integral univariate polynomial quotient substitution.
  \item[IUPRB]  Integral univariate polynomial root bound.
  \item[IUPRC]  Integral univariate polynomial resultant and cofactor.
  \item[IUPRLP]  Integral univariate polynomial, root of a linear polynomial.
  \item[IUPSR]  Integral univariate polynomial semi-remainder.
  \item[IUPTPR]  Integral univariate polynomial truncated product.
  \item[IUPTR]  Integral univariate polynomial translation.
  \item[IUPTR1]  Integral univariate polynomial translation by 1.
  \item[IUPVAR]  Integral univariate polynomial variations.
  \item[IUPVOI]  Integral univariate polynomial, variations for open interval.
  \item[IUPVSI]  Integral univariate polynomial, variations for standard
    interval.
  \item[IUPWRITE]  Integral univariate polynomial write.
  \item[IUSFPF]  Integral univariate squarefree polynomial factorization.
  \item[MIUPQR]  Modular integral univariate polynomial quotient and
    remainder.
  \item[MIUPSE]  Modular integral univariate polynomial, solution of equation.
  \item[MPUC]  Modular polynomial univariate content.
  \item[MPUCPP]  Modular polynomial univariate content and primitive part.
  \item[MPUCS]  Modular polynomial univariate content subroutine.
  \item[MPUP]  Modular polynomial univariate product.
  \item[MPUPP]  Modular polynomial univariate primitive part.
  \item[MPUQ]  Modular polynomial univariate quotient.
  \item[MUPBQP]  Modular univariate polynomial berlekamp Q polynomials
    construction.
  \item[MUPDDF]  Modular univariate polynomial distinct degree factorization.
  \item[MUPDER]  Modular univariate polynomial derivative.
  \item[MUPEGC]  Modular univariate polynomial extended greatest common
    divisor.
  \item[MUPFBL]  Modular univariate polynomial factorization-berlekamp
    algorithm.
  \item[MUPFS]  Modular univariate polynomial factorization, special.
  \item[MUPGCD]  Modular univariate polynomial greatest common divisor.
  \item[MUPHEG]  Modular univariate polynomial half-extended greatest common
    divisor.
  \item[MUPRAN]  Modular univariate polynomial, random.
  \item[MUPRC]  Modular univariate polynomial resultant and cofactor.
  \item[MUPRES]  Modular univariate polynomial resultant.
  \item[MUPSFF]  Modular univariate polynomial squarefree factorization.
  \item[PUFP]  Polynomial, univariate, from polynomial.
  \item[PUNT]  Polynomial univariate test.
  \item[RUPWRITE]  Rational univariate polynomial write.
  \end{description}
\item[unordered] \ \ 
  \begin{description}
  \item[USDIFF]  Unordered set difference.
  \item[USINT]  Unordered set intersection.
  \item[USUN]  Unordered set union.
  \end{description}
\item[usage] \ \ 
  \begin{description}
  \item[INFOSACLIB]  Write out usage information for SACLIB.
  \end{description}
\item[uspensky] \ \ 
  \begin{description}
  \item[IPRIM]  Integral polynomial real root isolation, modified Uspensky
    method.
  \item[IPRIMO]  Integral polynomial real root isolation, modified Uspensky
    method, open interval.
  \item[IPRIMS]  Integral polynomial real root isolation, modified Uspensky
    method, standard interval.
  \item[IPRIMU]  Integral polynomial real root isolation, modified Uspensky
    method, unit interval.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \item[IPSRM]  Integral polynomial strong real root isolation, modified
    Uspensky method.
  \item[IPSRMS]  Integral polynomial strong real root isolation, modified
    Uspensky method, standard interval.
  \end{description}
\item[value] \ \ 
  \begin{description}
  \item[ABS]  Absolute value.
  \item[IABSF]  Integer absolute value function.
  \item[IPABS]  Integral polynomial absolute value.
  \item[RNABS]  Rational number absolute value.
  \item[SFRABS]  Single-precision floating-point real absolute value.
  \end{description}
\item[variable] \ \ 
  \begin{description}
  \item[AFPCMV]  Algebraic number field polynomial composition in main
    variable.
  \item[AFPDMV]  Algebraic number field polynomial derivative, main variable.
  \item[AFPEMV]  Algebraic number field polynomial evaluation of main
    variable.
  \item[AMPDMV]  Algebraic module polynomial derivative, main variable.
  \item[GCGLOBAL]  Declare a global variable to the Garbage Collector.
  \item[IPBEILV]  Integral polynomial binary rational evaluation, integral
    polynomial result, leading variable.
  \item[IPBHTLV]  Integral polynomial binary homothetic transformation,
    leading variable.
  \item[IPBHTMV]  Integral polynomial binary homothetic transformation, main
    variable.
  \item[IPDMV]  Integral polynomial derivative, main variable.
  \item[IPEMV]  Integral polynomial evaluation of main variable.
  \item[IPHDMV]  Integral polynomial higher derivative, main variable.
  \item[IPSMV]  Integral polynomial substitution for main variable.
  \item[IPTR]  Integral polynomial translation, specified variable.
  \item[IPTR1]  Integral polynomial translation by one, specified variable.
  \item[IPTR1LV]  Integral polynomial translation by one, leading variable.
  \item[IPTRLV]  Integral polynomial translation, leading variable.
  \item[IPTRMV]  Integral polynomial translation, main variable.
  \item[MCPMV]  Matrix of coefficients of polynomials, with respect to main
    variable.
  \item[MPEMV]  Modular polynomial evaluation of main variable.
  \item[MPIQHS]  Modular polynomial mod ideal, quadratic Hensel lemma on a
    single variable.
  \item[PDEGSV]  Polynomial degree, specified variable.
  \item[PDPV]  Polynomial division by power of variable.
  \item[PMPMV]  Polynomial multiplication by power of main variable.
  \item[PSDSV]  Polynomial special decomposition, specified variable.
  \item[RPDMV]  Rational polynomial derivative, main variable.
  \item[RPEMV]  Rational polynomial evaluation, main variable.
  \item[RPIMV]  Rational polynomial integration, main variable.
  \item[VLREAD]  Variable list read.
  \item[VLSRCH]  Variable list search.
  \item[VLWRITE]  Variable list write.
  \item[VREAD]  Variable read.
  \item[VWRITE]  Variable write.
  \end{description}
\item[variables] \ \ 
  \begin{description}
  \item[PCONST]  Polynomial constant. PCPV Polynomial cyclic permutation of
    variables.
  \item[PFDP]  Polynomial from dense polynomial. PICPV Polynomial inverse
    cyclic permutation of variables.
  \item[PINV]  Polynomial introduction of new variables.
  \item[PPERMV]  Polynomial permutation of variables.
  \item[PTMV]  Polynomial transpose main variables. PTV Polynomial transpose
    variables.
  \item[PTMV]  Polynomial transpose main variables. PTV Polynomial transpose
    variables.
  \end{description}
\item[variation] \ \ 
  \begin{description}
  \item[AFUPRICS]  Algebraic univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICS]  Algebraic module univariate polynomial real root isolation,
    coefficient sign variation method.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[AMUPRINCS]  Algebraic module univariate polynomial root isolation,
    normalized coefficient sign variation method.
  \end{description}
\item[variations] \ \ 
  \begin{description}
  \item[AFUPVAR]  Algebraic number field univariate polynomial variations.
  \item[AMUPVARIR]  Algebraic module univariate polynomial variations,
    interval refinement.
  \item[IPVCHT]  Integral polynomial variations after circle to half-plane
    transformation.
  \item[IUPVAR]  Integral univariate polynomial variations.
  \item[IUPVOI]  Integral univariate polynomial, variations for open interval.
  \item[IUPVSI]  Integral univariate polynomial, variations for standard
    interval.
  \end{description}
\item[vector] \ \ 
  \begin{description}
  \item[DVCMP]  Degree vector comparison.
  \item[PDEGV]  Polynomial degree vector.
  \item[VCOMP]  Vector comparison.
  \item[VIAZ]  Vector of integers, adjoin zeros.
  \item[VIDIF]  Vector of integers difference.
  \item[VIERED]  Vector of integers, element reduction.
  \item[VILCOM]  Vector of integers linear combination.
  \item[VINEG]  Vector of integers negation.
  \item[VISPR]  Vector of integers scalar product.
  \item[VISUM]  Vector of integers sum.
  \item[VIUT]  Vector of integers, unimodular transformation.
  \item[VMAX]  Vector maximum.
  \item[VMIN]  Vector minimum.
  \item[VMPIP]  Vector of modular polynomial inner product.
  \end{description}
\item[weakly] \ \ 
  \begin{description}
  \item[AFUPIIWS]  Algebraic number field univariate polynomial isolating
    intervals weakly disjoint to strongly disjoint.
  \item[AMUPIIWS]  Algebraic module univariate polynomial isolating intervals
    weakly disjoint to strongly disjoint.
  \item[AMUPRICSW]  Algebraic module univariate polynomial real root
    isolation, coefficient sign variation method, weakly disjoint intervals.
  \item[IPIIWS]  Integral polynomial isolating intervals weakly disjoint to
    strongly disjoint.
  \item[IPRIMW]  Integral polynomial real root isolation, modified Uspensky
    method, weakly disjoint intervals.
  \end{description}
\item[with] \ \ 
  \begin{description}
  \item[MCPMV]  Matrix of coefficients of polynomials, with respect to main
    variable.
  \end{description}
\item[write] \ \ 
  \begin{description}
  \item[AFDWRITE]  Algebraic number field, decimal write.
  \item[AFPWRITE]  Algebraic number field polynomial write.
  \item[AFUPWRITE]  Algebraic number field univariate polynomial write.
  \item[AFWRITE]  Algebraic field element write.
  \item[ANDWRITE]  Algebraic number decimal write.
  \item[AWRITE]  Atom write.
  \item[CWRITE]  Character write.
  \item[DIIPWRITE]  Distributive integral polynomial write.
  \item[DIRPWRITE]  Distributive rational polynomial write.
  \item[GWRITE]  Gamma-integer write.
  \item[ILWRITE]  Integer list write.
  \item[INFOSACLIB]  Write out usage information for SACLIB.
  \item[IPDWRITE]  Integral Polynomial Distributive Write.
  \item[IPWRITE]  Integral polynomial write.
  \item[IUPWRITE]  Integral univariate polynomial write.
  \item[IWRITE]  Integer write.
  \item[LWRITE]  List write.
  \item[OWRITE]  Object write.
  \item[RNDWRITE]  Rational number decimal write.
  \item[RNWRITE]  Rational number write.
  \item[RPDWRITE]  Rational Polynomial Distributive Write.
  \item[RPWRITE]  Rational polynomial write.
  \item[RUPWRITE]  Rational univariate polynomial write.
  \item[SWRITE]  String write.
  \item[VLWRITE]  Variable list write.
  \item[VWRITE]  Variable write.
  \end{description}
\item[zero] \ \ 
  \begin{description}
  \item[ISZERO]  Test for zero.
  \end{description}
\item[zeros] \ \ 
  \begin{description}
  \item[VIAZ]  Vector of integers, adjoin zeros.
  \end{description}
\item[[algebraic] \ \ 
  \begin{description}
  \item[ANPEDE]  [Algebraic number primitive element for a double extension.
  \end{description}
\end{description}
