F Index
*******
* Index:
* !: 3.5.2 Special characters.
* !=: 3.5.2 Special characters.
* !=: 4.3.5 boolean expressions.
* ": 3.5.2 Special characters.
* #: 3.5.2 Special characters.
* $: 3.5.2 Special characters.
* %: 3.5.2 Special characters.
* &&: 3.5.2 Special characters.
* &&: 4.3.6 boolean operations.
* (: 3.5.2 Special characters.
* ): 3.5.2 Special characters.
* *: 3.5.2 Special characters.
* **: 3.5.2 Special characters.
* +: 3.5.2 Special characters.
* -: 3.5.2 Special characters.
* -allow-net: 3.1.6 Command line options.
* -b: 3.1.6 Command line options.
* -batch: 3.1.6 Command line options.
* -browser: 3.1.6 Command line options.
* -c: 3.1.6 Command line options.
* -d: 3.1.6 Command line options.
* -e: 3.1.6 Command line options.
* -echo: 3.1.6 Command line options.
* -emacs: 3.1.6 Command line options.
* -emacs-dir: 3.1.6 Command line options.
* -emacs-load: 3.1.6 Command line options.
* -execute: 3.1.6 Command line options.
* -h: 3.1.6 Command line options.
* -help: 3.1.6 Command line options.
* -min-time: 3.1.6 Command line options.
* -MPhost: 3.1.6 Command line options.
* -MPport: 3.1.6 Command line options.
* -no-out: 3.1.6 Command line options.
* -no-rc: 3.1.6 Command line options.
* -no-stdlib: 3.1.6 Command line options.
* -no-tty: 3.1.6 Command line options.
* -no-warn: 3.1.6 Command line options.
* -q: 3.1.6 Command line options.
* -quiet: 3.1.6 Command line options.
* -r: 3.1.6 Command line options.
* -random: 3.1.6 Command line options.
* -sdb: 3.1.6 Command line options.
* -singular: 3.1.6 Command line options.
* -ticks-per-sec: 3.1.6 Command line options.
* -u: 3.1.6 Command line options.
* -user-option: 3.1.6 Command line options.
* -v: 3.1.6 Command line options.
* -verbose: 3.1.6 Command line options.
* ..: 3.5.2 Special characters.
* .singularrc file: 3.1.7 Startup sequence.
* .singularrc file, no loading: 3.1.6 Command line options.
* /: 3.5.2 Special characters.
* //: 3.5.2 Special characters.
* //: 3.5.2 Special characters.
* //: 3.5.2 Special characters.
* ;: 3.5.2 Special characters.
* <: 3.5.2 Special characters.
* <: 5.1.34 files, input from.
* <=: 3.5.2 Special characters.
* <=: 4.3.5 boolean expressions.
* <>: 3.5.2 Special characters.
* <>: 4.3.5 boolean expressions.
* =: 3.5.2 Special characters.
* ==: 3.5.2 Special characters.
* ==: 4.3.5 boolean expressions.
* >: 3.5.2 Special characters.
* >=: 3.5.2 Special characters.
* >=: 4.3.5 boolean expressions.
* ?: 3.5.2 Special characters.
* ?: 5.1.43 help.
* [: 3.5.2 Special characters.
* \: 3.5.2 Special characters.
* ]: 3.5.2 Special characters.
* ^: 3.5.2 Special characters.
* _: 3.5.2 Special characters.
* `: 3.5.2 Special characters.
* ||: 3.5.2 Special characters.
* ||: 4.3.6 boolean operations.
* ~: 3.5.2 Special characters.
* ~: 5.2.12 ~ (break point).
* a, ordering: B.2.8 Extra weight vector.
* absValue: D.2.2.3 absValue.
* actionIsProper: D.6.2.3 actionIsProper.
* addcol: D.3.1.17 addcol.
* addrow: D.3.1.18 addrow.
* adjoint: D.3.2.9 adjoint.
* adjunction divisor: D.9.1.1 Adj_div.
* Adj_div: D.9.1.1 Adj_div.
* AGcode_L: D.9.1.6 AGcode_L.
* AGcode_Omega: D.9.1.7 AGcode_Omega.
* ainvar.lib: D.6.2 ainvar_lib.
* ainvar_lib: D.6.2 ainvar_lib.
* algDependent: D.4.1.4 algDependent.
* algebra.lib: D.4.1 algebra_lib.
* Algebraic dependence: A.25 Algebraic dependence.
* algebraic field extension: D.4.8.3 splitring.
* Algebraic Geometry codes: D.9.1 brnoeth_lib.
* algebra_containment: D.4.1.1 algebra_containment.
* algebra_lib: D.4.1 algebra_lib.
* algorithm of Bigatti, La Scala and Robbiano: C.6.2.5 The algorithm of Bigatti, La Scala and Robbiano.
* algorithm of Conti and Traverso: C.6.2.1 The algorithm of Conti and Traverso.
* algorithm of Di Biase and Urbanke: C.6.2.4 The algorithm of Di Biase and Urbanke.
* algorithm of Hosten and Sturmfels: C.6.2.3 The algorithm of Hosten and Sturmfels.
* algorithm of Pottier: C.6.2.2 The algorithm of Pottier.
* alg_kernel: D.4.1.5 alg_kernel.
* all.lib: D.2.1 all_lib.
* allowing net access: 3.1.6 Command line options.
* allprint: D.2.3.1 allprint.
* allsquarefree: D.5.5.20 allsquarefree.
* all_lib: D.2.1 all_lib.
* and: 4.3.6 boolean operations.
* and: 6.2.2 Evaluation of logical expressions.
* Ann: D.4.7.1 Ann.
* annil: D.4.4.8 annil.
* ArnoldAction: D.5.7.1 ArnoldAction.
* ASCII: D.2.2.2 ASCII.
* ASCII links: 4.6.4 ASCII links.
* attrib: 5.1.1 attrib.
* A_L: D.5.1.12 A_L.
* A_Z: D.2.2.1 A_Z.
* Bachmann, Olaf: 1 Preface.
* Background: 2.1 Background.
* bareiss: 5.1.2 bareiss.
* basicinvariants: D.5.1.1 basicinvariants.
* bernstein: D.5.4.4 bernstein.
* Bernstein polynomial: D.5.4.4 bernstein.
* betti: 5.1.3 betti.
* Betti number: C.3 Syzygies and resolutions.
* Bigatti-La Scala-Robbiano algorithm: C.6.2.5 The algorithm of Bigatti, La Scala and Robbiano.
* BinDir: 3.8.1 Loading of a library.
* binomial: D.2.2.4 binomial.
* block: 3.5.6 Flow control.
* block: 5.2 Control structures.
* blowup0: D.4.2.1 blowup0.
* boolean expressions: 4.3.5 boolean expressions.
* boolean operations: 4.3.6 boolean operations.
* bracket: 6.2.5 Usage of brackets.
* Branches of an Isolated Space Curve Singularity: A.23 Branches of an Isolated Space Curve Singularity.
* break: 5.2.1 break.
* break point: 5.2.12 ~ (break point).
* breakpoint: 5.2.2 breakpoint.
* Brieskorn lattice: D.5.4 gaussman_lib.
* Brieskorn lattice: D.5.4.1 gmsring.
* Brieskorn lattice: D.5.4.2 gmsnf.
* Brieskorn lattice: D.5.4.3 gmscoeffs.
* Brieskorn lattice: D.5.4.4 bernstein.
* Brieskorn lattice: D.5.4.5 monodromy.
* Brieskorn lattice: D.5.4.6 spectrum.
* Brieskorn lattice: D.5.4.7 sppairs.
* Brieskorn lattice: D.5.4.10 vfilt.
* Brieskorn lattice: D.5.4.11 vwfilt.
* Brieskorn lattice: D.5.4.12 tmatrix.
* Brieskorn lattice: D.5.4.13 endvfilt.
* Brieskorn lattice: D.5.6 mondromy_lib.
* Brill-Noether algorithm: D.9.1 brnoeth_lib.
* BrillNoether: D.9.1.3 BrillNoether.
* brnoeth.lib: D.9.1 brnoeth_lib.
* brnoeth_lib: D.9.1 brnoeth_lib.
* browser, command line option: 3.1.6 Command line options.
* browser, setting the: 5.1.125 system.
* browsers: 3.1.3 The online help system.
* browsers, setting the: 5.1.125 system.
* Buchberger algorithm for toric ideals: C.6.3 The Buchberger algorithm for toric ideals.
* bug, ESingular: E.3 Unix installation instructions.
* busadj: D.3.2.7 busadj.
* C programming language: 6.2 Major differences to the C programming language.
* C, module ordering: B.2.5 Module orderings.
* c, module ordering: B.2.5 Module orderings.
* case: 6.2.3 No case or switch statement.
* category in a library: 3.8.2 Format of a library.
* Change of rings: 2.3.4 Change of rings.
* changechar: D.2.6.1 changechar.
* changeord: D.2.6.2 changeord.
* changes: E.1 News and changes.
* changevar: D.2.6.3 changevar.
* char: 5.1.4 char.
* characteristic exponents: D.5.5.7 invariants.
* Characteristic sets: C.4 Characteristic sets.
* charpoly: D.3.2.8 charpoly.
* charstr: 5.1.6 charstr.
* char_series: 5.1.5 char_series.
* Classification: A.26 Classification.
* classify: D.5.1.2 classify.
* classify.lib: D.5.1 classify_lib.
* classify_lib: D.5.1 classify_lib.
* cleardenom: 5.1.7 cleardenom.
* close: 5.1.8 close.
* closed_points: D.9.1.10 closed_points.
* closetex: D.8.2.1 closetex.
* closureFrac: D.4.9.5 closureFrac.
* closureRingtower: D.4.9.4 closureRingtower.
* clrSBmod: D.4.4.15 clrSBmod.
* CMtype: D.5.9.2 CMtype.
* Coding theory: D.9 Coding theory.
* coef: 5.1.9 coef.
* coefficient field: 4.11 number.
* coeffs: 5.1.10 coeffs.
* colred: D.3.1.24 colred.
* comma: 6.2.4 Usage of commas.
* Command line options: 3.1.6 Command line options.
* command-line option, setting value of: 5.1.125 system.
* command-line option, value of: 5.1.125 system.
* command-line options, print all values of: 5.1.125 system.
* command-line options, short help: 3.1.6 Command line options.
* Commands: 5 Functions and system variables.
* Commutative algebra: D.4 Commutative algebra.
* completeReduction: D.6.2.5 completeReduction.
* complex: 3.3 Rings and orderings.
* Components of Windows installation: E.4 Windows installation instructions.
* compress: D.3.1.1 compress.
* concat: D.3.1.2 concat.
* conductor, degree: D.5.5.7 invariants.
* ContainedQ: D.7.5.15 ContainedQ.
* content: D.2.4.14 content.
* Conti-Traverso algorithm: C.6.2.1 The algorithm of Conti and Traverso.
* continue: 5.2.3 continue.
* continue: 6.2.6 Behavior of continue.
* contract: 5.1.11 contract.
* contributors: 5.1.125 system.
* Control structures: 5.2 Control structures.
* control_Matrix: D.5.3.5 control_Matrix.
* copyright: 1 Preface.
* corank: D.5.1.3 corank.
* Critical points: A.3 Critical points.
* cup: D.4.3.1 cup.
* cupproduct: D.4.3.2 cupproduct.
* curve singularities: D.5.5 hnoether_lib.
* curve singularities: D.8.3.3 parametrizesing.
* Customization of the Emacs interface: 3.2.4 Customization of the Emacs interface.
* cyclic: D.2.4.1 cyclic.
* Cyclic roots: A.16 Cyclic roots.
* cyclotomic: D.6.1.5 cyclotomic.
* Data types: 4 Data types.
* DBM links: 4.6.6 DBM links.
* dbprint: 5.1.12 dbprint.
* debugger: 3.10.2 Source code debugger.
* debugging library code: 3.10.2 Source code debugger.
* Debugging tools: 3.10 Debugging tools.
* debugLib, option: 5.1.89 option.
* debug_log: D.5.1.14 debug_log.
* dec1var: D.4.4.7 dec1var.
* decodeSV: D.9.1.9 decodeSV.
* def: 4.1 def.
* def declarations: 4.1.1 def declarations.
* DefaultDir: 3.8.1 Loading of a library.
* defined: 5.1.13 defined.
* deform: D.5.8.1 deform.
* deform.lib: D.5.2 deform_lib.
* Deformations: A.8 Deformations.
* deform_lib: D.5.2 deform_lib.
* defring: D.2.6.4 defring.
* defringp: D.2.6.6 defringp.
* defrings: D.2.6.5 defrings.
* deg: 5.1.14 deg.
* degBound: 5.3.1 degBound.
* degree: 5.1.15 degree.
* degree: 6.3 Miscellaneous oddities.
* degree lexicographical ordering: B.2.3 Global orderings.
* degree reverse lexicographical ordering: B.2.3 Global orderings.
* degreepart: D.7.1.1 degreepart.
* delete: 5.1.16 delete.
* deleteSublist: D.2.2.5 deleteSublist.
* delta: D.5.5.14 delta.
* delta invariant: D.4.6.4 deltaLoc.
* delta invariant: D.5.5.14 delta.
* delta invariant.: D.4.6.1 normal.
* deltaLoc: D.4.6.4 deltaLoc.
* Demo mode: 3.2.3 Demo mode.
* denominator: D.2.4.16 denominator.
* Depth: A.14 Depth.
* depth: D.4.3.3 depth.
* derivate: D.6.2.2 derivate.
* det: 5.1.17 det.
* detadj: D.5.6.1 detadj.
* det_B: D.3.2.10 det_B.
* develop: D.5.5.3 develop.
* Di Biase-Urbanke algorithm: C.6.2.4 The algorithm of Di Biase and Urbanke.
* diag: D.3.1.3 diag.
* diag_test: D.3.2.6 diag_test.
* diff: 5.1.18 diff.
* dim: 5.1.19 dim.
* dim_slocus: D.5.8.2 dim_slocus.
* discr: D.5.9.5 discr.
* DISPLAY environment variable: 3.1.3 The online help system.
* displayHNE: D.5.5.6 displayHNE.
* displayInvariants: D.5.5.8 displayInvariants.
* displayMultsequence: D.5.5.10 displayMultsequence.
* div: 4.3.3 int operations.
* div: 6.3 Miscellaneous oddities.
* division: 5.1.20 division.
* Documentation of a library: 3.9.2 Documentation of a library.
* downloading: E.2 Downloading instructions.
* dp, global ordering: B.2.3 Global orderings.
* Dp, global ordering: B.2.3 Global orderings.
* ds, local ordering: B.2.4 Local orderings.
* Ds, local ordering: B.2.4 Local orderings.
* dsum: D.3.1.4 dsum.
* dual_code: D.9.1.11 dual_code.
* dump: 5.1.21 dump.
* echo: 5.3.2 echo.
* Editing input: 3.1.5 Editing input.
* Editing SINGULAR input files with Emacs: 3.2.5 Editing SINGULAR input files with Emacs.
* EGCD: D.7.5.1 EGCD.
* EGCDMain: D.7.5.8 EGCDMain.
* eigenvals: D.3.2.19 eigenvals.
* elim: D.4.2.2 elim.
* elim.lib: D.4.2 elim_lib.
* elim1: D.4.2.3 elim1.
* eliminate: 5.1.22 eliminate.
* Elimination: A.10 Elimination.
* elimlinearpart: D.7.1.2 elimlinearpart.
* elimpart: D.7.1.3 elimpart.
* elimpartanyr: D.7.1.4 elimpartanyr.
* elim_lib: D.4.2 elim_lib.
* else: 5.2.7 if.
* Emacs: 3.2 Emacs user interface.
* Emacs, a quick guide: 3.2.1 A quick guide to Emacs.
* Emacs, customization of Singular mode: 3.2.4 Customization of the Emacs interface.
* Emacs, editing Singular input files: 3.2.5 Editing SINGULAR input files with Emacs.
* Emacs, important commands: 3.2.6 Top 20 Emacs commands.
* Emacs, overview: 3.2.1 A quick guide to Emacs.
* Emacs, running Singular under: 3.2.2 Running SINGULAR under Emacs.
* Emacs, Singular demo mode: 3.2.3 Demo mode.
* Emacs, user interface: 3.2 Emacs user interface.
* endomorphism filtration: D.5.4.13 endvfilt.
* endvfilt: D.5.4.13 endvfilt.
* environment variable, DISPLAY: 3.1.3 The online help system.
* equidim: D.4.7.11 equidim.
* equidimMax: D.4.7.12 equidimMax.
* equidimMaxEHV: D.4.7.13 equidimMaxEHV.
* equiRadical: D.4.7.9 equiRadical.
* equising.lib: D.5.3 equising_lib.
* equisingular stratum: D.5.3.3 esStratum.
* equisingularity ideal: D.5.3.2 esIdeal.
* equising_lib: D.5.3 equising_lib.
* ERROR: 5.1.24 ERROR.
* error recovery: 3.1.2 The SINGULAR prompt.
* esIdeal: D.5.3.2 esIdeal.
* ESingular, no prompt: E.3 Unix installation instructions.
* esStratum: D.5.3.3 esStratum.
* eval: 5.1.23 eval.
* evaluate_reynolds: D.6.1.10 evaluate_reynolds.
* Evaluation of logical expressions: 6.2.2 Evaluation of logical expressions.
* evnf: D.3.2.18 evnf.
* example: 5.1.25 example.
* Examples: Appendix A Examples.
* Examples of ring declarations: 3.3.1 Examples of ring declarations.
* execute: 5.1.26 execute.
* exit: 5.1.27 exit.
* exit: 5.2.9 quit.
* export: 5.2.5 export.
* expression list: 4 Data types.
* Ext: A.12 Computation of Ext.
* Ext: D.4.3.5 Ext.
* extcurve: D.9.1.5 extcurve.
* extdevelop: D.5.5.4 extdevelop.
* extendring: D.2.6.7 extendring.
* extension of rings: D.4.8.3 splitring.
* extgcd: 5.1.28 extgcd.
* Extra weight vector: B.2.8 Extra weight vector.
* Ext_R: D.4.3.4 Ext_R.
* facstd: 5.1.29 facstd.
* Factor: D.7.5.2 Factor.
* factorH: D.2.2.22 factorH.
* factorial: D.2.2.6 factorial.
* Factorization: A.19 Factorization.
* factorize: 5.1.30 factorize.
* FactorMain: D.7.5.9 FactorMain.
* factory: 1 Preface.
* Fast lexicographical GB: A.27 Fast lexicographical GB.
* fastelim: D.7.1.5 fastelim.
* fastHC, option: 5.1.89 option.
* fetch: 5.1.31 fetch.
* fetchall: D.2.6.8 fetchall.
* fglm: 5.1.32 fglm.
* fglm: 5.1.122 stdfglm.
* fglmquot: 5.1.33 fglmquot.
* fglm_solve: D.7.2.6 fglm_solve.
* fibonacci: D.2.2.7 fibonacci.
* field: 4.11 number.
* file, .singularrc: 3.1.7 Startup sequence.
* filecmd: 5.1.34 files, input from.
* find: 5.1.35 find.
* finduni: 5.1.36 finduni.
* findvars: D.7.1.6 findvars.
* finite field: 4.11 number.
* Finite fields: A.9 Finite fields.
* finitenessTest: D.4.1.11 finitenessTest.
* finvar.lib: D.6.1 finvar_lib.
* finvar_lib: D.6.1 finvar_lib.
* First steps: 2.3.1 First steps.
* fitting: D.4.3.6 fitting.
* flatten: D.3.1.5 flatten.
* flatteningStrat: D.4.3.7 flatteningStrat.
* Flow control: 3.5.6 Flow control.
* for: 5.2.6 for.
* Format of a library: 3.8.2 Format of a library.
* Formatting output: A.15 Formatting output.
* fprintf: 5.1.37 fprintf.
* Free resolution: A.11 Free resolution.
* freemodule: 5.1.38 freemodule.
* freerank: D.2.4.3 freerank.
* Fru"bis-Kru"ger, Anne: 1 Preface.
* Functions: 5.1 Functions.
* furtherInvar: D.6.2.7 furtherInvar.
* further_hn_proc: D.5.5.21 further_hn_proc.
* galois field: 4.11 number.
* Gauss-Manin connection: C.5 Gauss-Manin connection.
* Gauss-Manin connection: D.5.4 gaussman_lib.
* Gauss-Manin connection: D.5.4.1 gmsring.
* Gauss-Manin connection: D.5.4.2 gmsnf.
* Gauss-Manin connection: D.5.4.3 gmscoeffs.
* Gauss-Manin connection: D.5.4.4 bernstein.
* Gauss-Manin connection: D.5.4.5 monodromy.
* Gauss-Manin connection: D.5.4.6 spectrum.
* Gauss-Manin connection: D.5.4.7 sppairs.
* Gauss-Manin connection: D.5.4.10 vfilt.
* Gauss-Manin connection: D.5.4.11 vwfilt.
* Gauss-Manin connection: D.5.4.12 tmatrix.
* Gauss-Manin connection: D.5.4.13 endvfilt.
* Gauss-Manin connection: D.5.6 mondromy_lib.
* Gauss-Manin connection: D.5.10.1 spectrumnd.
* gaussman.lib: D.5.4 gaussman_lib.
* gaussman_lib: D.5.4 gaussman_lib.
* gaussred: D.3.2.11 gaussred.
* gaussred_pivot: D.3.2.12 gaussred_pivot.
* gauss_col: D.3.1.15 gauss_col.
* gauss_nf: D.3.2.13 gauss_nf.
* gauss_row: D.3.1.16 gauss_row.
* gcd: 5.1.39 gcd.
* gen: 5.1.40 gen.
* General command syntax: 3.5.1 General command syntax.
* General concepts: 3 General concepts.
* General purpose: D.2 General purpose.
* General syntax of a ring declaration: 3.3.2 General syntax of a ring declaration.
* general weighted lexicographical ordering: B.2.4 Local orderings.
* general weighted reverse lexicographical ordering: B.2.4 Local orderings.
* general.lib: D.2.2 general_lib.
* general_lib: D.2.2 general_lib.
* genericid: D.2.5.1 genericid.
* genericmat: D.3.1.6 genericmat.
* genus: D.4.6.3 genus.
* German Umlaute: 6.1 Limitations.
* getData: D.4.4.20 getData.
* getdump: 5.1.41 getdump.
* getenv: 5.1.125 system.
* Getting started: 2.3 Getting started.
* Global orderings: B.2.3 Global orderings.
* GMP: 1 Preface.
* gmscoeffs: D.5.4.3 gmscoeffs.
* gmsnf: D.5.4.2 gmsnf.
* gmsring: D.5.4.1 gmsring.
* graphics.lib: D.8.1 graphics_lib.
* graphics_lib: D.8.1 graphics_lib.
* Grassmann, Hubert: 1 Preface.
* Greuel, Gert-Martin: 1 Preface.
* groebner: 5.1.42 groebner.
* ground field: 4.11 number.
* group_reynolds: D.6.1.6 group_reynolds.
* GTZmod: D.4.4.6 GTZmod.
* GTZopt: D.4.4.13 GTZopt.
* Guidelines for writing a library: 3.9 Guidelines for writing a library.
* G_a -Invariants: A.17 G_a -Invariants.
* H2basis: D.5.6.5 H2basis.
* Hamburger-Noether expansion: D.5.5 hnoether_lib.
* Hamburger-Noether expansions: D.9.1.1 Adj_div.
* hardware platform: 5.1.125 system.
* Hcode: D.5.1.4 Hcode.
* headStand: D.3.1.27 headStand.
* help: 5.1.43 help.
* help browsers: 3.1.3 The online help system.
* help browsers, dummy: 3.1.3 The online help system.
* help browsers, dummy: 3.1.3 The online help system.
* help browsers, emacs: 3.1.3 The online help system.
* help browsers, html: 3.1.3 The online help system.
* help browsers, info: 3.1.3 The online help system.
* help browsers, netscape: 3.1.3 The online help system.
* help browsers, setting command to use: 3.1.3 The online help system.
* help browsers, setting the: 5.1.125 system.
* help browsers, tkinfo: 3.1.3 The online help system.
* help browsers, winhlp: 3.1.3 The online help system.
* help browsers, xinfo: 3.1.3 The online help system.
* help string of a library: 3.9.4 The help string of a library.
* help string of a procedure: 3.9.5 The help string of procedures.
* help, accessing over the net: 3.1.6 Command line options.
* help, online help system: 3.1.3 The online help system.
* hessenberg: D.3.2.17 hessenberg.
* highcorner: 5.1.44 highcorner.
* hilb: 5.1.45 hilb.
* Hilbert function: 5.1.123 stdhilb.
* Hilbert function: C.2 Hilbert function.
* Hilbert series: C.2 Hilbert function.
* HilbertSeries: D.6.3.1 HilbertSeries.
* HilbertWeights: D.6.3.2 HilbertWeights.
* hilbPoly: D.2.4.21 hilbPoly.
* hilbvec: D.7.1.7 hilbvec.
* hnexpansion: D.5.5.1 hnexpansion.
* hnoether.lib: D.5.5 hnoether_lib.
* hnoether_lib: D.5.5 hnoether_lib.
* Hom: D.4.3.8 Hom.
* HomJJ: D.4.6.2 HomJJ.
* homog: 5.1.46 homog.
* homolog.lib: D.4.3 homolog_lib.
* homology: D.4.3.9 homology.
* homolog_lib: D.4.3 homolog_lib.
* Hosten-Sturmfels algorithm: C.6.2.3 The algorithm of Hosten and Sturmfels.
* How to enter and exit: 3.1.1 How to enter and exit.
* How to use this manual: 2.2 How to use this manual.
* howto, download: E.2 Downloading instructions.
* howto, install on Macintosh: E.5 Macintosh installation instructions.
* howto, install on Unix: E.3 Unix installation instructions.
* howto, install on Windows: E.4 Windows installation instructions.
* hres: 5.1.47 hres.
* html, default help: 3.1.3 The online help system.
* html, default help: 3.1.3 The online help system.
* hypersurface singularity: D.5.6 mondromy_lib.
* id2mod: D.2.4.18 id2mod.
* ideal: 4.2 ideal.
* ideal declarations: 4.2.1 ideal declarations.
* ideal expressions: 4.2.2 ideal expressions.
* Ideal membership: C.1 Standard bases.
* ideal operations: 4.2.3 ideal operations.
* ideal related functions: 4.2.4 ideal related functions.
* ideal, toric: C.6.1 Toric ideals.
* ideals: 6.3 Miscellaneous oddities.
* idealSimplify: D.7.1.15 idealSimplify.
* idealSplit: D.7.1.16 idealSplit.
* identifier: 6.4 Identifier resolution.
* Identifiers, syntax of: 3.5.3 Names.
* if: 5.2.7 if.
* ImageGroup: D.6.3.4 ImageGroup.
* ImageVariety: D.6.3.3 ImageVariety.
* image_of_variety: D.6.1.31 image_of_variety.
* imap: 5.1.48 imap.
* Imap, option: 5.1.89 option.
* imapall: D.2.6.9 imapall.
* impart: 5.1.49 impart.
* Implemented algorithms: 3.4 Implemented algorithms.
* IN: 5.1.61 lead.
* indepSet: 5.1.50 indepSet.
* Index: F Index.
* indexed names: 3.5.2 Special characters.
* indSet: D.4.4.12 indSet.
* info: 3.1.3 The online help system.
* info: 3.1.3 The online help system.
* INFO environment variable: 3.1.3 The online help system.
* info in a library: 3.8.2 Format of a library.
* info string of a library: 3.9.4 The help string of a library.
* init_debug: D.5.1.5 init_debug.
* inout.lib: D.2.3 inout_lib.
* inout_lib: D.2.3 inout_lib.
* input: 3.6 Input and output.
* insert: 5.1.51 insert.
* instructions, downloading: E.2 Downloading instructions.
* instructions, Macintosh installation: E.5 Macintosh installation instructions.
* instructions, Unix installation: E.3 Unix installation instructions.
* instructions, Windows installation: E.4 Windows installation instructions.
* inSubring: D.4.1.3 inSubring.
* int: 4.3 int.
* int declarations: 4.3.1 int declarations.
* int expressions: 4.3.2 int expressions.
* int operations: 4.3.3 int operations.
* int related functions: 4.3.4 int related functions.
* integer division: 6.3 Miscellaneous oddities.
* integer programming: C.6.4 Integer programming.
* Interactive use: 3.1 Interactive use.
* interface, Emacs: 3.2 Emacs user interface.
* internalfunctions: D.5.1.6 internalfunctions.
* interpolate: D.7.2.5 interpolate.
* interred: 5.1.52 interred.
* Interrupting SINGULAR: 3.1.4 Interrupting SINGULAR.
* intersect: 5.1.53 intersect.
* intersection: D.5.5.11 intersection.
* intersection multiplicity: D.5.5.11 intersection.
* intmat: 4.4 intmat.
* intmat declarations: 4.4.1 intmat declarations.
* intmat expressions: 4.4.2 intmat expressions.
* intmat operations: 4.4.4 intmat operations.
* intmat related functions: 4.4.5 intmat related functions.
* intmat type cast: 4.4.3 intmat type cast.
* intprog.lib: D.4.10 intprog_lib.
* intprog_lib: D.4.10 intprog_lib.
* Introduction: 2 Introduction.
* intStrategy, option: 5.1.89 option.
* intvec: 4.5 intvec.
* intvec declarations: 4.5.1 intvec declarations.
* intvec expressions: 4.5.2 intvec expressions.
* intvec operations: 4.5.3 intvec operations.
* intvec related functions: 4.5.4 intvec related functions.
* Invariant theory: D.6 Invariant theory.
* InvariantQ: D.6.3.6 InvariantQ.
* invariantRing: D.6.2.1 invariantRing.
* InvariantRing: D.6.3.5 InvariantRing.
* invariants: D.5.5.7 invariants.
* Invariants of a finite group: A.18 Invariants of a finite group.
* invariant_basis: D.6.1.11 invariant_basis.
* invariant_basis_reynolds: D.6.1.12 invariant_basis_reynolds.
* invariant_ring: D.6.1.1 invariant_ring.
* invariant_ring_random: D.6.1.2 invariant_ring_random.
* inverse: D.3.2.1 inverse.
* inverse_B: D.3.2.2 inverse_B.
* inverse_L: D.3.2.3 inverse_L.
* InvertNumberMain: D.7.5.10 InvertNumberMain.
* invunit: D.5.6.2 invunit.
* irreducible power series: D.5.5.13 is_irred.
* isCM: D.4.3.10 isCM.
* isCMcod2: D.5.9.1 isCMcod2.
* isEquising: D.5.3.4 isEquising.
* isFlat: D.4.3.11 isFlat.
* isLocallyFree: D.4.3.12 isLocallyFree.
* isReg: D.4.3.13 isReg.
* is_active: D.5.8.3 is_active.
* is_bijective: D.4.1.8 is_bijective.
* is_ci: D.5.8.4 is_ci.
* is_complex: D.3.1.7 is_complex.
* is_homog: D.2.4.4 is_homog.
* is_injective: D.4.1.6 is_injective.
* is_irred: D.5.5.13 is_irred.
* is_is: D.5.8.5 is_is.
* is_NND: D.5.5.16 is_NND.
* is_reg: D.5.8.6 is_reg.
* is_regs: D.5.8.7 is_regs.
* is_surjective: D.4.1.7 is_surjective.
* is_zero: D.2.4.5 is_zero.
* jacob: 5.1.54 jacob.
* jacoblift: D.5.6.3 jacoblift.
* jet: 5.1.55 jet.
* jordan: D.3.2.21 jordan.
* jordanbasis: D.3.2.22 jordanbasis.
* jordanmatrix: D.3.2.23 jordanmatrix.
* jordannf: D.3.2.24 jordannf.
* katsura: D.2.4.2 katsura.
* kbase: 5.1.56 kbase.
* keepring: 5.2.8 keepring.
* Keilen, Thomas: 1 Preface.
* kernel: 5.1.95 preimage.
* kernel: D.4.3.14 kernel.
* Kernel of module homomorphisms: A.24 Kernel of module homomorphisms.
* kill: 5.1.57 kill.
* killall: D.2.2.9 killall.
* killattrib: 5.1.58 killattrib.
* kill_rings: D.5.2.5 kill_rings.
* kmemory: D.2.2.8 kmemory.
* kohom: D.4.3.15 kohom.
* kontrahom: D.4.3.16 kontrahom.
* koszul: 5.1.59 koszul.
* KoszulHomology: D.4.3.17 KoszulHomology.
* Kru"ger, Kai: 1 Preface.
* KSpencerKernel: D.5.9.9 KSpencerKernel.
* laguerre: 5.1.60 laguerre.
* laguerre_solve: D.7.2.1 laguerre_solve.
* latex.lib: D.8.2 latex_lib.
* latex_lib: D.8.2 latex_lib.
* lcm: D.2.4.6 lcm.
* lead: 5.1.61 lead.
* leadcoef: 5.1.62 leadcoef.
* leadexp: 5.1.63 leadexp.
* leadmonom: 5.1.64 leadmonom.
* Levandovskyy, Viktor: 1 Preface.
* lexicographical ordering: B.2.3 Global orderings.
* lex_solve: D.7.2.7 lex_solve.
* LIB: 5.1.65 LIB.
* lib2doc: 3.9.2.1 lib2doc.
* libfac: 1 Preface.
* libparse: 3.10.5 libparse.
* Libraries: 3.8 Libraries.
* library, documentation: 3.9.2 Documentation of a library.
* library, Guidelines for writing: 3.9 Guidelines for writing a library.
* library, help string: 3.9.4 The help string of a library.
* library, info string: 3.9.4 The help string of a library.
* library, info string: 3.9.6 template_lib.
* library, procedures: 3.9.1 Procedures in a library.
* library, template: 3.9.6 template_lib.
* library, template.lib: 3.9.6 template_lib.
* library, typesetting of help strings: 3.9.3 Typesetting of help strings.
* LIBs: Appendix D SINGULAR libraries.
* lift: 5.1.66 lift.
* liftstd: 5.1.67 liftstd.
* lift_kbase: D.5.2.3 lift_kbase.
* lift_rel_kb: D.5.2.4 lift_rel_kb.
* Limitations: 6.1 Limitations.
* linalg.lib: D.3.2 linalg_lib.
* linalg_lib: D.3.2 linalg_lib.
* Linear algebra: D.3 Linear algebra.
* linear code, dual: D.9.1.11 dual_code.
* linear code, systematic: D.9.1.12 sys_code.
* LinearActionQ: D.6.3.8 LinearActionQ.
* LinearCombinationQ: D.6.3.9 LinearCombinationQ.
* LinearizeAction: D.6.3.7 LinearizeAction.
* linearpart: D.7.1.8 linearpart.
* link: 4.6 link.
* link: A.28 Parallelization with MPtcp links.
* link declarations: 4.6.1 link declarations.
* link expressions: 4.6.2 link expressions.
* link related functions: 4.6.3 link related functions.
* list: 4.7 list.
* list declarations: 4.7.1 list declarations.
* list expressions: 4.7.2 list expressions.
* list operations: 4.7.3 list operations.
* list related functions: 4.7.4 list related functions.
* listvar: 5.1.68 listvar.
* Loading of a library: 3.8.1 Loading of a library.
* loadLib, option: 5.1.89 option.
* loadProc, option: 5.1.89 option.
* local names: 3.7.2 Names in procedures.
* Local orderings: B.2.4 Local orderings.
* local weighted lexicographical ordering: B.2.4 Local orderings.
* local weighted reverse lexicographical ordering: B.2.4 Local orderings.
* localInvar: D.6.2.6 localInvar.
* locstd: D.5.8.8 locstd.
* Long coefficients: A.5 Long coefficients.
* Lossen, Christoph: 1 Preface.
* lp, global ordering: B.2.3 Global orderings.
* lprint: D.2.3.2 lprint.
* lres: 5.1.69 lres.
* ls, local ordering: B.2.4 Local orderings.
* M, ordering: B.2.6 Matrix orderings.
* Macintosh installation: E.5 Macintosh installation instructions.
* map: 4.8 map.
* map declarations: 4.8.1 map declarations.
* map expressions: 4.8.2 map expressions.
* map operations: 4.8.3 map operations.
* mapall: D.2.6.10 mapall.
* mapIsFinite: D.4.1.10 mapIsFinite.
* Mathematical background: Appendix C Mathematical background.
* mathematical objects: B.1 Representation of mathematical objects.
* mathinit: D.8.1.2 mathinit.
* matrix: 4.9 matrix.
* matrix declarations: 4.9.1 matrix declarations.
* matrix expressions: 4.9.2 matrix expressions.
* matrix operations: 4.9.4 matrix operations.
* Matrix orderings: B.2.6 Matrix orderings.
* matrix related functions: 4.9.5 matrix related functions.
* matrix type cast: 4.9.3 matrix type cast.
* matrix.lib: D.3.1 matrix_lib.
* matrixT1: D.5.9.3 matrixT1.
* matrix_lib: D.3.1 matrix_lib.
* mat_rk: D.3.2.14 mat_rk.
* Max: D.5.7.8 Max.
* maxcoef: D.2.4.7 maxcoef.
* maxdeg: D.2.4.8 maxdeg.
* maxdeg1: D.2.4.9 maxdeg1.
* maxideal: 5.1.70 maxideal.
* mdouble: 3.9.6.1 mdouble.
* mem, option: 5.1.89 option.
* memory: 5.1.71 memory.
* memory managment: 5.1.71 memory.
* Milnor: A.1 Milnor and Tjurina.
* milnor: D.5.8.9 milnor.
* milnorcode: D.5.1.7 milnorcode.
* Min: D.5.7.9 Min.
* minAssChar: D.4.7.5 minAssChar.
* minAssGTZ: D.4.7.4 minAssGTZ.
* minbase: 5.1.72 minbase.
* mindeg: D.2.4.10 mindeg.
* mindeg1: D.2.4.11 mindeg1.
* minimal display time, setting the: 5.1.125 system.
* MinimalDecomposition: D.6.3.10 MinimalDecomposition.
* minipoly: D.3.2.20 minipoly.
* minor: 5.1.73 minor.
* minpoly: 5.3.3 minpoly.
* minres: 5.1.74 minres.
* minRes, option: 5.1.89 option.
* minSatMod: D.4.4.16 minSatMod.
* mixed Hodge structure: D.5.4 gaussman_lib.
* mixed Hodge structure: D.5.4.6 spectrum.
* mixed Hodge structure: D.5.4.7 sppairs.
* mixed Hodge structure: D.5.4.10 vfilt.
* mixed Hodge structure: D.5.4.11 vwfilt.
* mixed Hodge structure: D.5.4.12 tmatrix.
* mixed Hodge structure: D.5.4.13 endvfilt.
* mod: 4.3.3 int operations.
* mod: 4.11.3 number operations.
* mod2id: D.2.4.17 mod2id.
* modDec: D.4.4.4 modDec.
* ModEqn: D.5.7.2 ModEqn.
* module: 4.10 module.
* module declarations: 4.10.1 module declarations.
* module expressions: 4.10.2 module expressions.
* module operations: 4.10.3 module operations.
* module ordering C: B.2.5 Module orderings.
* module ordering c: B.2.5 Module orderings.
* Module orderings: B.2.5 Module orderings.
* module related functions: 4.10.4 module related functions.
* Modules and and their annihilator: 2.3.5 Modules and their annihilator.
* modulesEqual: D.4.4.19 modulesEqual.
* module_containment: D.4.1.2 module_containment.
* modulo: 5.1.75 modulo.
* mod_versal: D.5.2.2 mod_versal.
* molien: D.6.1.7 molien.
* mondromy.lib: D.5.6 mondromy_lib.
* mondromy_lib: D.5.6 mondromy_lib.
* monitor: 5.1.76 monitor.
* monodromy: D.5.4 gaussman_lib.
* monodromy: D.5.4.5 monodromy.
* monodromy: D.5.4.5 monodromy.
* Monodromy: D.5.6 mondromy_lib.
* monodromyB: D.5.6.4 monodromyB.
* Monomial orderings: B.2 Monomial orderings.
* monomial orderings: B.2.2 General definitions for orderings.
* monomial orderings introduction: B.2.1 Introduction to orderings.
* Monomial orderings, Term orderings: 3.3.3 Term orderings.
* monomials and precedence: 6.3 Miscellaneous oddities.
* morsesplit: D.5.1.8 morsesplit.
* MP: 1 Preface.
* MP links: 4.6.5 MP links.
* MP, groebner basis computations: 5.1.42 groebner.
* MPfile links: 4.6.5.1 MPfile links.
* mplot: D.8.1.3 mplot.
* mpresmat: 5.1.77 mpresmat.
* mprimdec.lib: D.4.4 mprimdec_lib.
* mprimdec_lib: D.4.4 mprimdec_lib.
* MPtcp: A.28 Parallelization with MPtcp links.
* MPtcp links: 4.6.5.2 MPtcp links.
* mp_res_mat: D.7.2.4 mp_res_mat.
* mregular.lib: D.4.5 mregular_lib.
* mregular_lib: D.4.5 mregular_lib.
* mres: 5.1.78 mres.
* mstd: 5.1.79 mstd.
* msum: 3.9.6.3 msum.
* mtripple: 3.9.6.2 mtripple.
* mult: 5.1.80 mult.
* mult: 6.3 Miscellaneous oddities.
* multBound: 5.3.4 multBound.
* multcol: D.3.1.19 multcol.
* multiplicities, sequence of: D.5.5.7 invariants.
* multiplicity sequence: D.5.5.9 multsequence.
* multrow: D.3.1.20 multrow.
* multsequence: D.5.5.9 multsequence.
* nameof: 5.1.81 nameof.
* Names: 3.5.3 Names.
* names: 5.1.82 names.
* Names in procedures: 3.7.2 Names in procedures.
* nblocks: 5.1.125 system.
* ncols: 5.1.83 ncols.
* negative degree lexicographical ordering: B.2.4 Local orderings.
* negative degree reverse lexicographical ordering: B.2.4 Local orderings.
* negative lexicographical ordering: B.2.4 Local orderings.
* net access: 3.1.6 Command line options.
* netscape: 3.1.3 The online help system.
* NETSCAPE environment variable: 3.1.3 The online help system.
* Neumann, Wolfgang: 1 Preface.
* newline: 4.17 string.
* news: E.1 News and changes.
* Newton non-degenerate: D.5.5.16 is_NND.
* Newton polygon: D.5.5.15 newtonpoly.
* Newton polygon: D.5.5.16 is_NND.
* newtonpoly: D.5.5.15 newtonpoly.
* NF: 5.1.106 reduce.
* nf_icis: D.5.8.10 nf_icis.
* noether: 5.3.5 noether.
* noetherNormal: D.4.1.9 noetherNormal.
* non-english special characters: 6.1 Limitations.
* none, option: 5.1.89 option.
* normal: D.4.6.1 normal.
* Normal form: C.1 Standard bases.
* normal.lib: D.4.6 normal_lib.
* normalform: D.5.1.13 normalform.
* normalI: D.4.9.2 normalI.
* Normalization: A.22 Normalization.
* normalization: D.4.6.1 normal.
* normalization: D.8.3.1 parametrize.
* normalization: D.8.3.2 parametrizepd.
* normalize: D.2.4.12 normalize.
* normal_lib: D.4.6 normal_lib.
* not: 4.3.6 boolean operations.
* notBuckets, option: 5.1.89 option.
* notRegularity, option: 5.1.89 option.
* notSugar, option: 5.1.89 option.
* npars: 5.1.84 npars.
* nres: 5.1.85 nres.
* nrows: 5.1.86 nrows.
* nselect: D.4.2.4 nselect.
* NSplaces: D.9.1.2 NSplaces.
* ntsolve.lib: D.7.4 ntsolve_lib.
* ntsolve_lib: D.7.4 ntsolve_lib.
* nt_solve: D.7.4.1 nt_solve.
* NullCone: D.6.3.11 NullCone.
* number: 4.11 number.
* number declarations: 4.11.1 number declarations.
* number expressions: 4.11.2 number expressions.
* number operations: 4.11.3 number operations.
* number related functions: 4.11.4 number related functions.
* number_e: D.2.2.10 number_e.
* number_pi: D.2.2.11 number_pi.
* numerator: D.2.4.15 numerator.
* nvars: 5.1.87 nvars.
* Objects: 3.5.4 Objects.
* oldStd, option: 5.1.89 option.
* online help: 3.1.3 The online help system.
* open: 5.1.88 open.
* opentex: D.8.2.2 opentex.
* opposite Hodge filtration: D.5.4.12 tmatrix.
* option: 5.1.89 option.
* or: 4.3.6 boolean operations.
* or: 6.2.2 Evaluation of logical expressions.
* orbit_variety: D.6.1.29 orbit_variety.
* ord: 5.1.90 ord.
* orderings: B.2.2 General definitions for orderings.
* orderings introduction: B.2.1 Introduction to orderings.
* orderings, a: B.2.8 Extra weight vector.
* orderings, global: B.2.3 Global orderings.
* orderings, local: B.2.4 Local orderings.
* orderings, M: B.2.6 Matrix orderings.
* orderings, product: B.2.7 Product orderings.
* ordstr: 5.1.91 ordstr.
* ord_test: D.2.6.11 ord_test.
* orthogonalize: D.3.2.5 orthogonalize.
* outer: D.3.1.8 outer.
* output: 3.6 Input and output.
* par: 5.1.92 par.
* Parallelization: A.28 Parallelization with MPtcp links.
* paramet.lib: D.8.3 paramet_lib.
* Parameter list: 3.7.3 Parameter list.
* parameter, as numbers: 4.11 number.
* Parameters: A.6 Parameters.
* parametrisation: D.5.5.5 parametrisation.
* parametrization: D.5.5.5 parametrisation.
* parametrization: D.8.3.1 parametrize.
* parametrization: D.8.3.2 parametrizepd.
* parametrization: D.8.3.3 parametrizesing.
* parametrize: D.8.3.1 parametrize.
* parametrizepd: D.8.3.2 parametrizepd.
* parametrizesing: D.8.3.3 parametrizesing.
* paramet_lib: D.8.3 paramet_lib.
* pardeg: 5.1.93 pardeg.
* parstr: 5.1.94 parstr.
* partial_molien: D.6.1.9 partial_molien.
* path: 3.8.1 Loading of a library.
* pause: D.2.3.10 pause.
* permcol: D.3.1.21 permcol.
* permrow: D.3.1.22 permrow.
* permute_L: D.9.1.13 permute_L.
* Pfister, Gerhard: 1 Preface.
* pid: 5.1.125 system.
* plot: D.8.4.1 plot.
* pmat: D.2.3.3 pmat.
* Pohl, Wilfred: 1 Preface.
* Polar curves: A.13 Polar curves.
* poly: 4.12 poly.
* poly declarations: 4.12.1 poly declarations.
* poly expressions: 4.12.2 poly expressions.
* poly operations: 4.12.3 poly operations.
* poly related functions: 4.12.4 poly related functions.
* poly.lib: D.2.4 poly_lib.
* Polynomial data: Appendix B Polynomial data.
* poly_lib: D.2.4 poly_lib.
* posweight: D.5.9.8 posweight.
* pos_def: D.3.2.16 pos_def.
* Pottier algorithm: C.6.2.2 The algorithm of Pottier.
* power: D.3.1.9 power.
* power_products: D.6.1.23 power_products.
* preComp: D.4.4.11 preComp.
* Preface: 1 Preface.
* preimage: 5.1.95 preimage.
* prepareAss: D.4.7.10 prepareAss.
* prepMat: D.6.4.1 prepMat.
* prepSV: D.9.1.8 prepSV.
* presolve.lib: D.7.1 presolve_lib.
* presolve_lib: D.7.1 presolve_lib.
* Primary decomposition: A.21 Primary decomposition.
* primary_char0: D.6.1.13 primary_char0.
* primary_char0_no_molien: D.6.1.15 primary_char0_no_molien.
* primary_char0_no_molien_random: D.6.1.20 primary_char0_no_molien_random.
* primary_char0_random: D.6.1.18 primary_char0_random.
* primary_charp: D.6.1.14 primary_charp.
* primary_charp_no_molien: D.6.1.16 primary_charp_no_molien.
* primary_charp_no_molien_random: D.6.1.21 primary_charp_no_molien_random.
* primary_charp_random: D.6.1.19 primary_charp_random.
* primary_charp_without: D.6.1.17 primary_charp_without.
* primary_charp_without_random: D.6.1.22 primary_charp_without_random.
* primary_invariants: D.6.1.3 primary_invariants.
* primary_invariants_random: D.6.1.4 primary_invariants_random.
* primdec.lib: D.4.7 primdec_lib.
* PrimdecA: D.4.4.2 PrimdecA.
* PrimdecB: D.4.4.3 PrimdecB.
* primdecGTZ: D.4.7.2 primdecGTZ.
* primdecSY: D.4.7.3 primdecSY.
* primdec_lib: D.4.7 primdec_lib.
* prime: 5.1.96 prime.
* primeClosure: D.4.9.3 primeClosure.
* primecoeffs: D.2.2.18 primecoeffs.
* primefactors: D.2.2.19 primefactors.
* primes: D.2.2.12 primes.
* primitiv.lib: D.4.8 primitiv_lib.
* primitive: D.4.8.1 primitive.
* primitive element: D.4.8.1 primitive.
* primitive_extra: D.4.8.2 primitive_extra.
* primitiv_lib: D.4.8 primitiv_lib.
* primTest: D.4.4.10 primTest.
* print: 5.1.97 print.
* printf: 5.1.98 printf.
* printlevel: 5.3.6 printlevel.
* proc: 4.13 proc.
* proc declaration: 4.13.1 proc declaration.
* Procedure commands: 3.7.4 Procedure commands.
* Procedure definition: 3.7.1 Procedure definition.
* procedure, ASCII help: 3.9.6.1 mdouble.
* procedure, ASCII/Texinfo help: 3.9.6.3 msum.
* procedure, texinfo help: 3.9.6.2 mtripple.
* Procedures: 3.7 Procedures.
* Procedures and LIB: A.2 Procedures and LIB.
* Procedures and libraries: 2.3.3 Procedures and libraries.
* Procedures in a library: 3.9.1 Procedures in a library.
* procedures, help string: 3.9.5 The help string of procedures.
* procedures, static: 3.7.1 Procedure definition.
* product: D.2.2.13 product.
* Product orderings: B.2.7 Product orderings.
* progress watch: 5.1.89 option.
* prompt: 3.1.2 The SINGULAR prompt.
* prompt, option: 5.1.89 option.
* prot, option: 5.1.89 option.
* protocoll of computations: 5.1.89 option.
* prune: 5.1.99 prune.
* Puiseux expansion: D.5.5 hnoether_lib.
* Puiseux pairs: A.20 Puiseux pairs.
* Puiseux pairs: D.5.5.7 invariants.
* puiseux2generators: D.5.5.17 puiseux2generators.
* qhmatrix: D.5.9.6 qhmatrix.
* qhmoduli.lib: D.5.7 qhmoduli_lib.
* qhmoduli_lib: D.5.7 qhmoduli_lib.
* qhspectrum: D.5.8.12 qhspectrum.
* qhweight: 5.1.100 qhweight.
* qring: 4.14 qring.
* qring: 6.3 Miscellaneous oddities.
* qring declaration: 4.14.1 qring declaration.
* quickclass: D.5.1.9 quickclass.
* quit: 5.2.9 quit.
* quot: 5.1.101 quot.
* quote: 5.1.102 quote.
* quotient: 5.1.103 quotient.
* Quotient: D.7.5.3 Quotient.
* QuotientEquations: D.5.7.3 QuotientEquations.
* QuotientMain: D.7.5.11 QuotientMain.
* radical: D.4.7.7 radical.
* radicalEHV: D.4.7.8 radicalEHV.
* rad_con: D.2.4.13 rad_con.
* random: 5.1.104 random.
* random number generator, seed: 5.1.125 system.
* random.lib: D.2.5 random_lib.
* randomBinomial: D.2.5.11 randomBinomial.
* randomid: D.2.5.2 randomid.
* randomLast: D.2.5.10 randomLast.
* randommat: D.2.5.3 randommat.
* random_lib: D.2.5 random_lib.
* read: 5.1.105 read.
* reading, option: 5.1.89 option.
* readline: 1 Preface.
* real: 3.3 Rings and orderings.
* redefine, option: 5.1.89 option.
* redSB, option: 5.1.89 option.
* redTail, option: 5.1.89 option.
* redThrough, option: 5.1.89 option.
* reduce: 5.1.106 reduce.
* reduced standard basis: 5.1.89 option.
* reduction: D.6.2.4 reduction.
* ReesAlgebra: D.4.9.1 ReesAlgebra.
* reesclos.lib: D.4.9 reesclos_lib.
* reesclos_lib: D.4.9 reesclos_lib.
* References: C.7 References.
* regularity: 5.1.107 regularity.
* regularity: C.3 Syzygies and resolutions.
* reg_CM: D.4.5.1 reg_CM.
* reg_curve: D.4.5.2 reg_curve.
* reg_moncurve: D.4.5.3 reg_moncurve.
* relative_orbit_variety: D.6.1.30 relative_orbit_variety.
* Release Notes: E Release Notes.
* relweight: D.5.9.7 relweight.
* Remainder: D.7.5.4 Remainder.
* RemainderMain: D.7.5.12 RemainderMain.
* repart: 5.1.108 repart.
* representation, math objects: B.1 Representation of mathematical objects.
* res: 5.1.109 res.
* reservedName: 5.1.110 reservedName.
* Resolution: 2.3.6 Resolution.
* resolution: 4.15 resolution.
* resolution declarations: 4.15.1 resolution declarations.
* resolution expressions: 4.15.2 resolution expressions.
* resolution related functions: 4.15.3 resolution related functions.
* resolution, computation of: 5.1.109 res.
* resolution, hilbert-driven: 5.1.47 hres.
* resolution, La Scala's method: 5.1.69 lres.
* resultant: 5.1.111 resultant.
* return: 5.2.10 return.
* return type of procedures: 6.2.7 Return type of procedures.
* returnSB, option: 5.1.89 option.
* reverse lexicographical ordering: B.2.3 Global orderings.
* ReynoldsImage: D.6.3.12 ReynoldsImage.
* ReynoldsOperator: D.6.3.13 ReynoldsOperator.
* reynolds_molien: D.6.1.8 reynolds_molien.
* ring: 4.16 ring.
* ring declarations: 4.16.1 ring declarations.
* ring operations: 4.16.3 ring operations.
* ring related functions: 4.16.2 ring related functions.
* ring.lib: D.2.6 ring_lib.
* Rings and orderings: 3.3 Rings and orderings.
* Rings and standard bases: 2.3.2 Rings and standard bases.
* ringtensor: D.2.6.12 ringtensor.
* ringweights: D.2.6.13 ringweights.
* ring_lib: D.2.6 ring_lib.
* rinvar.lib: D.6.3 rinvar_lib.
* rinvar_lib: D.6.3 rinvar_lib.
* rMacaulay: D.2.3.4 rMacaulay.
* rmx: D.8.2.12 rmx.
* rm_unitcol: D.3.1.26 rm_unitcol.
* rm_unitrow: D.3.1.25 rm_unitrow.
* RootDir: 3.8.1 Loading of a library.
* Roots: D.7.5.5 Roots.
* RootsMain: D.7.5.13 RootsMain.
* rowred: D.3.1.23 rowred.
* rp, global ordering: B.2.3 Global orderings.
* Running SINGULAR under Emacs: 3.2.2 Running SINGULAR under Emacs.
* rvalue: 6.2.1 No rvalue of increments and assignments.
* rvar: 5.1.112 rvar.
* SameQ: D.7.5.16 SameQ.
* sat: D.4.2.5 sat.
* Saturation: A.4 Saturation.
* Schmidt, Jens: 1 Preface.
* Scho"nemann, Hans: 1 Preface.
* Schulze, Mathias: 1 Preface.
* SDB breakpoint: 3.10.2 Source code debugger.
* SDB debugger: 3.10.2 Source code debugger.
* sdb, source code debugger: 3.10.2 Source code debugger.
* SearchPath: 3.8.1 Loading of a library.
* secondary_and_irreducibles_no_molien: D.6.1.27 secondary_and_irreducibles_no_molien.
* secondary_char0: D.6.1.24 secondary_char0.
* secondary_charp: D.6.1.25 secondary_charp.
* secondary_not_cohen_macaulay: D.6.1.28 secondary_not_cohen_macaulay.
* secondary_no_molien: D.6.1.26 secondary_no_molien.
* select: D.4.2.6 select.
* select1: D.4.2.7 select1.
* semiCMcod2: D.5.9.4 semiCMcod2.
* semigroup of values: D.5.5.7 invariants.
* separateHNE: D.5.5.18 separateHNE.
* separator: D.4.4.1 separator.
* setenv: 5.1.125 system.
* sethnering: D.5.5.2 sethnering.
* setring: 5.1.113 setring.
* sh: 5.1.125 system.
* short: 5.3.7 short.
* shortid: D.7.1.13 shortid.
* show: D.2.3.5 show.
* showrecursive: D.2.3.6 showrecursive.
* simplex: 5.1.114 simplex.
* simplexOut: D.7.2.8 simplexOut.
* simplify: 5.1.115 simplify.
* SimplifyIdeal: D.6.3.14 SimplifyIdeal.
* sing.lib: D.5.8 sing_lib.
* Singular: 5.1.125 system.
* SINGULAR libraries: Appendix D SINGULAR libraries.
* Singular, customization of Emacs user interface: 3.2.4 Customization of the Emacs interface.
* Singular, demo mode: 3.2.3 Demo mode.
* Singular, editing input files with Emacs: 3.2.5 Editing SINGULAR input files with Emacs.
* Singular, important commands of Emacs interface: 3.2.6 Top 20 Emacs commands.
* Singular, running within Emacs: 3.2.2 Running SINGULAR under Emacs.
* SINGULARHIST: 3.1.5 Editing input.
* Singularities: D.5 Singularities.
* singularities: D.5.4 gaussman_lib.
* singularities: D.5.4.1 gmsring.
* singularities: D.5.4.2 gmsnf.
* singularities: D.5.4.3 gmscoeffs.
* singularities: D.5.4.4 bernstein.
* singularities: D.5.4.5 monodromy.
* singularities: D.5.4.6 spectrum.
* singularities: D.5.4.7 sppairs.
* singularities: D.5.4.10 vfilt.
* singularities: D.5.4.11 vwfilt.
* singularities: D.5.4.12 tmatrix.
* singularities: D.5.4.13 endvfilt.
* singularities: D.5.10.1 spectrumnd.
* singularity: D.5.1.10 singularity.
* SINGULARPATH: 3.8.1 Loading of a library.
* singularrc: 3.1.7 Startup sequence.
* sing_lib: D.5.8 sing_lib.
* size: 5.1.116 size.
* size: 6.3 Miscellaneous oddities.
* skewmat: D.3.1.10 skewmat.
* sleep: 5.1.120 status.
* slocus: D.5.8.11 slocus.
* solve: D.7.2.2 solve.
* solve.lib: D.7.2 solve_lib.
* solvelinearpart: D.7.1.10 solvelinearpart.
* solve_IP: D.4.10.1 solve_IP.
* solve_lib: D.7.2 solve_lib.
* sort: D.2.2.14 sort.
* sortandmap: D.7.1.11 sortandmap.
* sortier: D.6.2.8 sortier.
* sortvars: D.7.1.12 sortvars.
* sortvec: 5.1.117 sortvec.
* Source code debugger, invocation: 3.1.6 Command line options.
* source code debugger, sdb: 3.10.2 Source code debugger.
* spadd: D.5.4.16 spadd.
* sparseid: D.2.5.4 sparseid.
* sparsemat: D.2.5.6 sparsemat.
* sparsematrix: D.2.5.5 sparsematrix.
* sparsepoly: D.2.5.7 sparsepoly.
* sparsetriag: D.2.5.8 sparsetriag.
* spcurve.lib: D.5.9 spcurve_lib.
* spcurve_lib: D.5.9 spcurve_lib.
* Special characters: 3.5.2 Special characters.
* special characters, non-english: 6.1 Limitations.
* specialModulesEqual: D.4.4.17 specialModulesEqual.
* spectral pairs: D.5.4 gaussman_lib.
* spectral pairs: D.5.4.7 sppairs.
* spectral pairs: D.5.4.11 vwfilt.
* spectrum: D.5.4 gaussman_lib.
* spectrum: D.5.4.6 spectrum.
* spectrum: D.5.4.6 spectrum.
* spectrum: D.5.4.7 sppairs.
* spectrum: D.5.4.10 vfilt.
* spectrum: D.5.4.11 vwfilt.
* spectrum: D.5.10.1 spectrumnd.
* spectrum.lib: D.5.10 spectrum_lib.
* spectrumnd: D.5.10.1 spectrumnd.
* spectrum_lib: D.5.10 spectrum_lib.
* spgamma: D.5.4.23 spgamma.
* spgeomgenus: D.5.4.22 spgeomgenus.
* spissemicont: D.5.4.19 spissemicont.
* split: D.2.3.7 split.
* splitring: D.4.8.3 splitring.
* splitting: D.4.4.9 splitting.
* spmilnor: D.5.4.21 spmilnor.
* spmul: D.5.4.18 spmul.
* spnf: D.5.4.8 spnf.
* sppairs: D.5.4.7 sppairs.
* sppnf: D.5.4.9 sppnf.
* sppprint: D.5.4.15 sppprint.
* spprint: D.5.4.14 spprint.
* sprintf: 5.1.118 sprintf.
* spsemicont: D.5.4.20 spsemicont.
* spsub: D.5.4.17 spsub.
* SQFRNorm: D.7.5.6 SQFRNorm.
* SQFRNormMain: D.7.5.14 SQFRNormMain.
* squarefree: D.5.5.19 squarefree.
* sres: 5.1.119 sres.
* StabEqn: D.5.7.4 StabEqn.
* StabEqnId: D.5.7.5 StabEqnId.
* StabOrder: D.5.7.6 StabOrder.
* staircase: D.8.1.1 staircase.
* Standard bases: C.1 Standard bases.
* standard.lib: D.1 standard_lib.
* standard_lib: D.1 standard_lib.
* Startup sequence: 3.1.7 Startup sequence.
* static procedures: 3.7.1 Procedure definition.
* status: 5.1.120 status.
* std: 5.1.121 std.
* stdfglm: 5.1.122 stdfglm.
* stdhilb: 5.1.123 stdhilb.
* stdModulesEqual: D.4.4.18 stdModulesEqual.
* Stobbe, Ru"diger: 1 Preface.
* stratify: D.6.4.2 stratify.
* stratify.lib: D.6.4 stratify_lib.
* stratify_lib: D.6.4 stratify_lib.
* string: 4.17 string.
* string: 6.3 Miscellaneous oddities.
* string declarations: 4.17.1 string declarations.
* string expressions: 4.17.2 string expressions.
* string operations: 4.17.4 string operations.
* string related functions: 4.17.5 string related functions.
* string type cast: 4.17.3 string type cast.
* stripHNE: D.5.5.12 stripHNE.
* submat: D.3.1.11 submat.
* subrInterred: D.2.4.20 subrInterred.
* subst: 5.1.124 subst.
* substitute: D.2.4.19 substitute.
* sugarCrit, option: 5.1.89 option.
* sum: D.2.2.15 sum.
* surf.lib: D.8.4 surf_lib.
* surf_lib: D.8.4 surf_lib.
* SuSE, ESingular bug: E.3 Unix installation instructions.
* suspend: 5.1.120 status.
* SV-decoding algorithm: D.9.1.9 decodeSV.
* SV-decoding algorithm, preprocessing: D.9.1.8 prepSV.
* swap: D.5.1.11 swap.
* switch: 6.2.3 No case or switch statement.
* Symbolic-numerical solving: D.7 Symbolic-numerical solving.
* symmat: D.3.1.12 symmat.
* sym_gauss: D.3.2.4 sym_gauss.
* system: 5.1.125 system.
* System variables: 5.3 System variables.
* system, -: 5.1.125 system.
* system, -long_option_name: 5.1.125 system.
* system, -long_option_name=value: 5.1.125 system.
* system, browsers: 5.1.125 system.
* system, contributors: 5.1.125 system.
* system, gen: 5.1.125 system.
* system, getenv: 5.1.125 system.
* system, nblocks: 5.1.125 system.
* system, pid: 5.1.125 system.
* system, setenv: 5.1.125 system.
* system, sh: 5.1.125 system.
* system, Singular: 5.1.125 system.
* system, tty: 5.1.125 system.
* system, uname: 5.1.125 system.
* system, version: 5.1.125 system.
* sys_code: D.9.1.12 sys_code.
* syz: 5.1.126 syz.
* Syzygies and resolutions: C.3 Syzygies and resolutions.
* T1: A.7 T1 and T2.
* T2: A.7 T1 and T2.
* tab: D.2.3.8 tab.
* Table: D.5.7.10 Table.
* tangentcone: D.5.8.18 tangentcone.
* tau_es: D.5.3.1 tau_es.
* Template for writing a library: 3.9.6 template_lib.
* template.lib: 3.9.6 template_lib.
* template.lib: 3.9.6 template_lib.
* template_lib: 3.9.6 template_lib.
* template_lib: 3.9.6 template_lib.
* tensor: D.3.1.13 tensor.
* tensorMod: D.4.3.18 tensorMod.
* term orderings: B.2.2 General definitions for orderings.
* term orderings introduction: B.2.1 Introduction to orderings.
* testPrimary: D.4.7.6 testPrimary.
* tex: D.8.2.3 tex.
* texdemo: D.8.2.4 texdemo.
* texfactorize: D.8.2.5 texfactorize.
* texmap: D.8.2.6 texmap.
* texname: D.8.2.7 texname.
* texobj: D.8.2.8 texobj.
* texpoly: D.8.2.9 texpoly.
* texproc: D.8.2.10 texproc.
* texring: D.8.2.11 texring.
* The online help system: 3.1.3 The online help system.
* The SINGULAR language: 3.5 The SINGULAR language.
* time limit on computations: 5.1.42 groebner.
* timeFactorize: D.2.2.21 timeFactorize.
* timer: 5.3.8 timer.
* timer: 5.3.10 rtimer.
* timer resolution, setting the: 5.1.125 system.
* timeStd: D.2.2.20 timeStd.
* Tjurina: A.1 Milnor and Tjurina.
* Tjurina: D.5.8.13 Tjurina.
* tjurina: D.5.8.14 tjurina.
* Tjurina number: D.4.6.4 deltaLoc.
* tkinfo: 3.1.3 The online help system.
* tmatrix: D.5.4.12 tmatrix.
* tolessvars: D.7.1.9 tolessvars.
* Top 20 Emacs commands: 3.2.6 Top 20 Emacs commands.
* Tor: D.4.3.19 Tor.
* toric ideals: C.6.1 Toric ideals.
* Toric ideals and integer programming: C.6 Toric ideals and integer programming.
* toric.lib: D.4.11 toric_lib.
* toric_ideal: D.4.11.1 toric_ideal.
* toric_lib: D.4.11 toric_lib.
* toric_std: D.4.11.2 toric_std.
* trace: 5.1.127 trace.
* TRACE: 5.3.9 TRACE.
* TransferIdeal: D.6.3.15 TransferIdeal.
* transpose: 5.1.128 transpose.
* triagmatrix: D.2.5.9 triagmatrix.
* triang.lib: D.7.3 triang_lib.
* triangL: D.7.3.1 triangL.
* triangLfak: D.7.3.2 triangLfak.
* triangLf_solve: D.7.2.9 triangLf_solve.
* triangL_solve: D.7.2.11 triangL_solve.
* triangM: D.7.3.3 triangM.
* triangMH: D.7.3.4 triangMH.
* triangM_solve: D.7.2.10 triangM_solve.
* triang_lib: D.7.3 triang_lib.
* triang_solve: D.7.2.12 triang_solve.
* Tricks and pitfalls: 6 Tricks and pitfalls.
* triMNewton: D.7.4.2 triMNewton.
* tty: 5.1.125 system.
* type: 5.1.129 type.
* Type casting: 3.5.5 Type conversion and casting.
* Type conversion: 3.5.5 Type conversion and casting.
* typeof: 5.1.130 typeof.
* Typesetting of help strings: 3.9.3 Typesetting of help strings.
* T_1: D.5.8.15 T_1.
* T_12: D.5.8.17 T_12.
* T_2: D.5.8.16 T_2.
* uname: 5.1.125 system.
* unitmat: D.3.1.14 unitmat.
* Unix installation: E.3 Unix installation instructions.
* untyped definitions: 4.1 def.
* UpperMonomials: D.5.7.7 UpperMonomials.
* uressolve: 5.1.131 uressolve.
* ures_solve: D.7.2.3 ures_solve.
* usage, option: 5.1.89 option.
* user interface, Emacs: 3.2 Emacs user interface.
* U_D_O: D.3.2.15 U_D_O.
* V-filtration: D.5.4 gaussman_lib.
* V-filtration: D.5.4.6 spectrum.
* V-filtration: D.5.4.7 sppairs.
* V-filtration: D.5.4.10 vfilt.
* V-filtration: D.5.4.11 vwfilt.
* V-filtration: D.5.4.12 tmatrix.
* V-filtration: D.5.4.13 endvfilt.
* valvars: D.7.1.14 valvars.
* vandermonde: 5.1.132 vandermonde.
* var: 5.1.133 var.
* varstr: 5.1.134 varstr.
* vdim: 5.1.135 vdim.
* vector: 4.18 vector.
* vector declarations: 4.18.1 vector declarations.
* vector expressions: 4.18.2 vector expressions.
* vector operations: 4.18.3 vector operations.
* vector related functions: 4.18.4 vector related functions.
* versal: D.5.2.1 versal.
* version: 5.1.125 system.
* version in a library: 3.8.2 Format of a library.
* vfilt: D.5.4.10 vfilt.
* Visualization: D.8 Visualization.
* voice: 5.3.11 voice.
* vwfilt: D.5.4.11 vwfilt.
* watchdog: D.2.2.16 watchdog.
* wedge: 5.1.136 wedge.
* Weierstrass: D.9.1.4 Weierstrass.
* Weierstrass semigroup: D.9.1 brnoeth_lib.
* weight: 5.1.137 weight.
* weight filtration: D.5.4 gaussman_lib.
* weight filtration: D.5.4.7 sppairs.
* weight filtration: D.5.4.11 vwfilt.
* weighted lexicographical ordering: B.2.3 Global orderings.
* weighted reverse lexicographical ordering: B.2.3 Global orderings.
* weightM, option: 5.1.89 option.
* Westenberger, Eric: 1 Preface.
* which: D.2.2.17 which.
* while: 5.2.11 while.
* Wichmann, Tim: 1 Preface.
* Windows installation: E.4 Windows installation instructions.
* Windows installation, components: E.4 Windows installation instructions.
* wp, global ordering: B.2.3 Global orderings.
* WP, global ordering: B.2.3 Global orderings.
* write: 5.1.138 write.
* writelist: D.2.3.9 writelist.
* ws, local ordering: B.2.4 Local orderings.
* Ws, local ordering: B.2.4 Local orderings.
* xdvi: D.8.2.13 xdvi.
* xinfo: 3.1.3 The online help system.
* XINFO environment variable: 3.1.3 The online help system.
* XTERM environment variable: 3.1.3 The online help system.
* zerodec: D.4.7.14 zerodec.
* zeroMod: D.4.4.5 zeroMod.
* zeroOpt: D.4.4.14 zeroOpt.
* ZeroSet: D.7.5.7 ZeroSet.
* zeroset.lib: D.7.5 zeroset_lib.
* zeroset_lib: D.7.5 zeroset_lib.

Table of Contents
*****************

1 Preface
2 Introduction
 2.1 Background
 2.2 How to use this manual
 2.3 Getting started
  2.3.1 First steps
  2.3.2 Rings and standard bases
  2.3.3 Procedures and libraries
  2.3.4 Change of rings
  2.3.5 Modules and their annihilator
  2.3.6 Resolution
3 General concepts
 3.1 Interactive use
  3.1.1 How to enter and exit
  3.1.2 The SINGULAR prompt
  3.1.3 The online help system
  3.1.4 Interrupting SINGULAR
  3.1.5 Editing input
  3.1.6 Command line options
  3.1.7 Startup sequence
 3.2 Emacs user interface
  3.2.1 A quick guide to Emacs
  3.2.2 Running SINGULAR under Emacs
  3.2.3 Demo mode
  3.2.4 Customization of the Emacs interface
  3.2.5 Editing SINGULAR input files with Emacs
  3.2.6 Top 20 Emacs commands
 3.3 Rings and orderings
  3.3.1 Examples of ring declarations
  3.3.2 General syntax of a ring declaration
  3.3.3 Term orderings
 3.4 Implemented algorithms
 3.5 The SINGULAR language
  3.5.1 General command syntax
  3.5.2 Special characters
  3.5.3 Names
  3.5.4 Objects
  3.5.5 Type conversion and casting
  3.5.6 Flow control
 3.6 Input and output
 3.7 Procedures
  3.7.1 Procedure definition
  3.7.2 Names in procedures
  3.7.3 Parameter list
  3.7.4 Procedure commands
 3.8 Libraries
  3.8.1 Loading of a library
  3.8.2 Format of a library
 3.9 Guidelines for writing a library
  3.9.1 Procedures in a library
  3.9.2 Documentation of a library
   3.9.2.1 lib2doc
  3.9.3 Typesetting of help strings
  3.9.4 The help string of a library
  3.9.5 The help string of procedures
  3.9.6 template_lib
   3.9.6.1 mdouble
   3.9.6.2 mtripple
   3.9.6.3 msum
 3.10 Debugging tools
  3.10.1 Tracing of procedures
  3.10.2 Source code debugger
  3.10.3 Break points
  3.10.4 Printing of data
  3.10.5 libparse
4 Data types
 4.1 def
  4.1.1 def declarations
 4.2 ideal
  4.2.1 ideal declarations
  4.2.2 ideal expressions
  4.2.3 ideal operations
  4.2.4 ideal related functions
 4.3 int
  4.3.1 int declarations
  4.3.2 int expressions
  4.3.3 int operations
  4.3.4 int related functions
  4.3.5 boolean expressions
  4.3.6 boolean operations
 4.4 intmat
  4.4.1 intmat declarations
  4.4.2 intmat expressions
  4.4.3 intmat type cast
  4.4.4 intmat operations
  4.4.5 intmat related functions
 4.5 intvec
  4.5.1 intvec declarations
  4.5.2 intvec expressions
  4.5.3 intvec operations
  4.5.4 intvec related functions
 4.6 link
  4.6.1 link declarations
  4.6.2 link expressions
  4.6.3 link related functions
  4.6.4 ASCII links
  4.6.5 MP links
   4.6.5.1 MPfile links
   4.6.5.2 MPtcp links
  4.6.6 DBM links
 4.7 list
  4.7.1 list declarations
  4.7.2 list expressions
  4.7.3 list operations
  4.7.4 list related functions
 4.8 map
  4.8.1 map declarations
  4.8.2 map expressions
  4.8.3 map operations
 4.9 matrix
  4.9.1 matrix declarations
  4.9.2 matrix expressions
  4.9.3 matrix type cast
  4.9.4 matrix operations
  4.9.5 matrix related functions
 4.10 module
  4.10.1 module declarations
  4.10.2 module expressions
  4.10.3 module operations
  4.10.4 module related functions
 4.11 number
  4.11.1 number declarations
  4.11.2 number expressions
  4.11.3 number operations
  4.11.4 number related functions
 4.12 poly
  4.12.1 poly declarations
  4.12.2 poly expressions
  4.12.3 poly operations
  4.12.4 poly related functions
 4.13 proc
  4.13.1 proc declaration
 4.14 qring
  4.14.1 qring declaration
 4.15 resolution
  4.15.1 resolution declarations
  4.15.2 resolution expressions
  4.15.3 resolution related functions
 4.16 ring
  4.16.1 ring declarations
  4.16.2 ring related functions
  4.16.3 ring operations
 4.17 string
  4.17.1 string declarations
  4.17.2 string expressions
  4.17.3 string type cast
  4.17.4 string operations
  4.17.5 string related functions
 4.18 vector
  4.18.1 vector declarations
  4.18.2 vector expressions
  4.18.3 vector operations
  4.18.4 vector related functions
5 Functions and system variables
 5.1 Functions
  5.1.1 attrib
  5.1.2 bareiss
  5.1.3 betti
  5.1.4 char
  5.1.5 char_series
  5.1.6 charstr
  5.1.7 cleardenom
  5.1.8 close
  5.1.9 coef
  5.1.10 coeffs
  5.1.11 contract
  5.1.12 dbprint
  5.1.13 defined
  5.1.14 deg
  5.1.15 degree
  5.1.16 delete
  5.1.17 det
  5.1.18 diff
  5.1.19 dim
  5.1.20 division
  5.1.21 dump
  5.1.22 eliminate
  5.1.23 eval
  5.1.24 ERROR
  5.1.25 example
  5.1.26 execute
  5.1.27 exit
  5.1.28 extgcd
  5.1.29 facstd
  5.1.30 factorize
  5.1.31 fetch
  5.1.32 fglm
  5.1.33 fglmquot
  5.1.34 files, input from
  5.1.35 find
  5.1.36 finduni
  5.1.37 fprintf
  5.1.38 freemodule
  5.1.39 gcd
  5.1.40 gen
  5.1.41 getdump
  5.1.42 groebner
  5.1.43 help
  5.1.44 highcorner
  5.1.45 hilb
  5.1.46 homog
  5.1.47 hres
  5.1.48 imap
  5.1.49 impart
  5.1.50 indepSet
  5.1.51 insert
  5.1.52 interred
  5.1.53 intersect
  5.1.54 jacob
  5.1.55 jet
  5.1.56 kbase
  5.1.57 kill
  5.1.58 killattrib
  5.1.59 koszul
  5.1.60 laguerre
  5.1.61 lead
  5.1.62 leadcoef
  5.1.63 leadexp
  5.1.64 leadmonom
  5.1.65 LIB
  5.1.66 lift
  5.1.67 liftstd
  5.1.68 listvar
  5.1.69 lres
  5.1.70 maxideal
  5.1.71 memory
  5.1.72 minbase
  5.1.73 minor
  5.1.74 minres
  5.1.75 modulo
  5.1.76 monitor
  5.1.77 mpresmat
  5.1.78 mres
  5.1.79 mstd
  5.1.80 mult
  5.1.81 nameof
  5.1.82 names
  5.1.83 ncols
  5.1.84 npars
  5.1.85 nres
  5.1.86 nrows
  5.1.87 nvars
  5.1.88 open
  5.1.89 option
  5.1.90 ord
  5.1.91 ordstr
  5.1.92 par
  5.1.93 pardeg
  5.1.94 parstr
  5.1.95 preimage
  5.1.96 prime
  5.1.97 print
  5.1.98 printf
  5.1.99 prune
  5.1.100 qhweight
  5.1.101 quot
  5.1.102 quote
  5.1.103 quotient
  5.1.104 random
  5.1.105 read
  5.1.106 reduce
  5.1.107 regularity
  5.1.108 repart
  5.1.109 res
  5.1.110 reservedName
  5.1.111 resultant
  5.1.112 rvar
  5.1.113 setring
  5.1.114 simplex
  5.1.115 simplify
  5.1.116 size
  5.1.117 sortvec
  5.1.118 sprintf
  5.1.119 sres
  5.1.120 status
  5.1.121 std
  5.1.122 stdfglm
  5.1.123 stdhilb
  5.1.124 subst
  5.1.125 system
  5.1.126 syz
  5.1.127 trace
  5.1.128 transpose
  5.1.129 type
  5.1.130 typeof
  5.1.131 uressolve
  5.1.132 vandermonde
  5.1.133 var
  5.1.134 varstr
  5.1.135 vdim
  5.1.136 wedge
  5.1.137 weight
  5.1.138 write
 5.2 Control structures
  5.2.1 break
  5.2.2 breakpoint
  5.2.3 continue
  5.2.4 else
  5.2.5 export
  5.2.6 for
  5.2.7 if
  5.2.8 keepring
  5.2.9 quit
  5.2.10 return
  5.2.11 while
  5.2.12 ~ (break point)
 5.3 System variables
  5.3.1 degBound
  5.3.2 echo
  5.3.3 minpoly
  5.3.4 multBound
  5.3.5 noether
  5.3.6 printlevel
  5.3.7 short
  5.3.8 timer
  5.3.9 TRACE
  5.3.10 rtimer
  5.3.11 voice
6 Tricks and pitfalls
 6.1 Limitations
 6.2 Major differences to the C programming language
  6.2.1 No rvalue of increments and assignments
  6.2.2 Evaluation of logical expressions
  6.2.3 No case or switch statement
  6.2.4 Usage of commas
  6.2.5 Usage of brackets
  6.2.6 Behavior of continue
  6.2.7 Return type of procedures
 6.3 Miscellaneous oddities
 6.4 Identifier resolution
Appendix A Examples
 A.1 Milnor and Tjurina
 A.2 Procedures and LIB
 A.3 Critical points
 A.4 Saturation
 A.5 Long coefficients
 A.6 Parameters
 A.7 T1 and T2
 A.8 Deformations
 A.9 Finite fields
 A.10 Elimination
 A.11 Free resolution
 A.12 Computation of Ext
 A.13 Polar curves
 A.14 Depth
 A.15 Formatting output
 A.16 Cyclic roots
 A.17 G_a -Invariants
 A.18 Invariants of a finite group
 A.19 Factorization
 A.20 Puiseux pairs
 A.21 Primary decomposition
 A.22 Normalization
 A.23 Branches of an Isolated Space Curve Singularity
 A.24 Kernel of module homomorphisms
 A.25 Algebraic dependence
 A.26 Classification
 A.27 Fast lexicographical GB
 A.28 Parallelization with MPtcp links
Appendix B Polynomial data
 B.1 Representation of mathematical objects
 B.2 Monomial orderings
  B.2.1 Introduction to orderings
  B.2.2 General definitions for orderings
  B.2.3 Global orderings
  B.2.4 Local orderings
  B.2.5 Module orderings
  B.2.6 Matrix orderings
  B.2.7 Product orderings
  B.2.8 Extra weight vector
Appendix C Mathematical background
 C.1 Standard bases
 C.2 Hilbert function
 C.3 Syzygies and resolutions
 C.4 Characteristic sets
 C.5 Gauss-Manin connection
 C.6 Toric ideals and integer programming
  C.6.1 Toric ideals
  C.6.2 Algorithms
   C.6.2.1 The algorithm of Conti and Traverso
   C.6.2.2 The algorithm of Pottier
   C.6.2.3 The algorithm of Hosten and Sturmfels
   C.6.2.4 The algorithm of Di Biase and Urbanke
   C.6.2.5 The algorithm of Bigatti, La Scala and Robbiano
  C.6.3 The Buchberger algorithm for toric ideals
  C.6.4 Integer programming
  C.6.5 Relevant References
 C.7 References
Appendix D SINGULAR libraries
 D.1 standard_lib
 D.2 General purpose
  D.2.1 all_lib
  D.2.2 general_lib
   D.2.2.1 A_Z
   D.2.2.2 ASCII
   D.2.2.3 absValue
   D.2.2.4 binomial
   D.2.2.5 deleteSublist
   D.2.2.6 factorial
   D.2.2.7 fibonacci
   D.2.2.8 kmemory
   D.2.2.9 killall
   D.2.2.10 number_e
   D.2.2.11 number_pi
   D.2.2.12 primes
   D.2.2.13 product
   D.2.2.14 sort
   D.2.2.15 sum
   D.2.2.16 watchdog
   D.2.2.17 which
   D.2.2.18 primecoeffs
   D.2.2.19 primefactors
   D.2.2.20 timeStd
   D.2.2.21 timeFactorize
   D.2.2.22 factorH
  D.2.3 inout_lib
   D.2.3.1 allprint
   D.2.3.2 lprint
   D.2.3.3 pmat
   D.2.3.4 rMacaulay
   D.2.3.5 show
   D.2.3.6 showrecursive
   D.2.3.7 split
   D.2.3.8 tab
   D.2.3.9 writelist
   D.2.3.10 pause
  D.2.4 poly_lib
   D.2.4.1 cyclic
   D.2.4.2 katsura
   D.2.4.3 freerank
   D.2.4.4 is_homog
   D.2.4.5 is_zero
   D.2.4.6 lcm
   D.2.4.7 maxcoef
   D.2.4.8 maxdeg
   D.2.4.9 maxdeg1
   D.2.4.10 mindeg
   D.2.4.11 mindeg1
   D.2.4.12 normalize
   D.2.4.13 rad_con
   D.2.4.14 content
   D.2.4.15 numerator
   D.2.4.16 denominator
   D.2.4.17 mod2id
   D.2.4.18 id2mod
   D.2.4.19 substitute
   D.2.4.20 subrInterred
   D.2.4.21 hilbPoly
  D.2.5 random_lib
   D.2.5.1 genericid
   D.2.5.2 randomid
   D.2.5.3 randommat
   D.2.5.4 sparseid
   D.2.5.5 sparsematrix
   D.2.5.6 sparsemat
   D.2.5.7 sparsepoly
   D.2.5.8 sparsetriag
   D.2.5.9 triagmatrix
   D.2.5.10 randomLast
   D.2.5.11 randomBinomial
  D.2.6 ring_lib
   D.2.6.1 changechar
   D.2.6.2 changeord
   D.2.6.3 changevar
   D.2.6.4 defring
   D.2.6.5 defrings
   D.2.6.6 defringp
   D.2.6.7 extendring
   D.2.6.8 fetchall
   D.2.6.9 imapall
   D.2.6.10 mapall
   D.2.6.11 ord_test
   D.2.6.12 ringtensor
   D.2.6.13 ringweights
 D.3 Linear algebra
  D.3.1 matrix_lib
   D.3.1.1 compress
   D.3.1.2 concat
   D.3.1.3 diag
   D.3.1.4 dsum
   D.3.1.5 flatten
   D.3.1.6 genericmat
   D.3.1.7 is_complex
   D.3.1.8 outer
   D.3.1.9 power
   D.3.1.10 skewmat
   D.3.1.11 submat
   D.3.1.12 symmat
   D.3.1.13 tensor
   D.3.1.14 unitmat
   D.3.1.15 gauss_col
   D.3.1.16 gauss_row
   D.3.1.17 addcol
   D.3.1.18 addrow
   D.3.1.19 multcol
   D.3.1.20 multrow
   D.3.1.21 permcol
   D.3.1.22 permrow
   D.3.1.23 rowred
   D.3.1.24 colred
   D.3.1.25 rm_unitrow
   D.3.1.26 rm_unitcol
   D.3.1.27 headStand
  D.3.2 linalg_lib
   D.3.2.1 inverse
   D.3.2.2 inverse_B
   D.3.2.3 inverse_L
   D.3.2.4 sym_gauss
   D.3.2.5 orthogonalize
   D.3.2.6 diag_test
   D.3.2.7 busadj
   D.3.2.8 charpoly
   D.3.2.9 adjoint
   D.3.2.10 det_B
   D.3.2.11 gaussred
   D.3.2.12 gaussred_pivot
   D.3.2.13 gauss_nf
   D.3.2.14 mat_rk
   D.3.2.15 U_D_O
   D.3.2.16 pos_def
   D.3.2.17 hessenberg
   D.3.2.18 evnf
   D.3.2.19 eigenvals
   D.3.2.20 minipoly
   D.3.2.21 jordan
   D.3.2.22 jordanbasis
   D.3.2.23 jordanmatrix
   D.3.2.24 jordannf
 D.4 Commutative algebra
  D.4.1 algebra_lib
   D.4.1.1 algebra_containment
   D.4.1.2 module_containment
   D.4.1.3 inSubring
   D.4.1.4 algDependent
   D.4.1.5 alg_kernel
   D.4.1.6 is_injective
   D.4.1.7 is_surjective
   D.4.1.8 is_bijective
   D.4.1.9 noetherNormal
   D.4.1.10 mapIsFinite
   D.4.1.11 finitenessTest
  D.4.2 elim_lib
   D.4.2.1 blowup0
   D.4.2.2 elim
   D.4.2.3 elim1
   D.4.2.4 nselect
   D.4.2.5 sat
   D.4.2.6 select
   D.4.2.7 select1
  D.4.3 homolog_lib
   D.4.3.1 cup
   D.4.3.2 cupproduct
   D.4.3.3 depth
   D.4.3.4 Ext_R
   D.4.3.5 Ext
   D.4.3.6 fitting
   D.4.3.7 flatteningStrat
   D.4.3.8 Hom
   D.4.3.9 homology
   D.4.3.10 isCM
   D.4.3.11 isFlat
   D.4.3.12 isLocallyFree
   D.4.3.13 isReg
   D.4.3.14 kernel
   D.4.3.15 kohom
   D.4.3.16 kontrahom
   D.4.3.17 KoszulHomology
   D.4.3.18 tensorMod
   D.4.3.19 Tor
  D.4.4 mprimdec_lib
   D.4.4.1 separator
   D.4.4.2 PrimdecA
   D.4.4.3 PrimdecB
   D.4.4.4 modDec
   D.4.4.5 zeroMod
   D.4.4.6 GTZmod
   D.4.4.7 dec1var
   D.4.4.8 annil
   D.4.4.9 splitting
   D.4.4.10 primTest
   D.4.4.11 preComp
   D.4.4.12 indSet
   D.4.4.13 GTZopt
   D.4.4.14 zeroOpt
   D.4.4.15 clrSBmod
   D.4.4.16 minSatMod
   D.4.4.17 specialModulesEqual
   D.4.4.18 stdModulesEqual
   D.4.4.19 modulesEqual
   D.4.4.20 getData
  D.4.5 mregular_lib
   D.4.5.1 reg_CM
   D.4.5.2 reg_curve
   D.4.5.3 reg_moncurve
  D.4.6 normal_lib
   D.4.6.1 normal
   D.4.6.2 HomJJ
   D.4.6.3 genus
   D.4.6.4 deltaLoc
  D.4.7 primdec_lib
   D.4.7.1 Ann
   D.4.7.2 primdecGTZ
   D.4.7.3 primdecSY
   D.4.7.4 minAssGTZ
   D.4.7.5 minAssChar
   D.4.7.6 testPrimary
   D.4.7.7 radical
   D.4.7.8 radicalEHV
   D.4.7.9 equiRadical
   D.4.7.10 prepareAss
   D.4.7.11 equidim
   D.4.7.12 equidimMax
   D.4.7.13 equidimMaxEHV
   D.4.7.14 zerodec
  D.4.8 primitiv_lib
   D.4.8.1 primitive
   D.4.8.2 primitive_extra
   D.4.8.3 splitring
  D.4.9 reesclos_lib
   D.4.9.1 ReesAlgebra
   D.4.9.2 normalI
   D.4.9.3 primeClosure
   D.4.9.4 closureRingtower
   D.4.9.5 closureFrac
  D.4.10 intprog_lib
   D.4.10.1 solve_IP
  D.4.11 toric_lib
   D.4.11.1 toric_ideal
   D.4.11.2 toric_std
 D.5 Singularities
  D.5.1 classify_lib
   D.5.1.1 basicinvariants
   D.5.1.2 classify
   D.5.1.3 corank
   D.5.1.4 Hcode
   D.5.1.5 init_debug
   D.5.1.6 internalfunctions
   D.5.1.7 milnorcode
   D.5.1.8 morsesplit
   D.5.1.9 quickclass
   D.5.1.10 singularity
   D.5.1.11 swap
   D.5.1.12 A_L
   D.5.1.13 normalform
   D.5.1.14 debug_log
  D.5.2 deform_lib
   D.5.2.1 versal
   D.5.2.2 mod_versal
   D.5.2.3 lift_kbase
   D.5.2.4 lift_rel_kb
   D.5.2.5 kill_rings
  D.5.3 equising_lib
   D.5.3.1 tau_es
   D.5.3.2 esIdeal
   D.5.3.3 esStratum
   D.5.3.4 isEquising
   D.5.3.5 control_Matrix
  D.5.4 gaussman_lib
   D.5.4.1 gmsring
   D.5.4.2 gmsnf
   D.5.4.3 gmscoeffs
   D.5.4.4 bernstein
   D.5.4.5 monodromy
   D.5.4.6 spectrum
   D.5.4.7 sppairs
   D.5.4.8 spnf
   D.5.4.9 sppnf
   D.5.4.10 vfilt
   D.5.4.11 vwfilt
   D.5.4.12 tmatrix
   D.5.4.13 endvfilt
   D.5.4.14 spprint
   D.5.4.15 sppprint
   D.5.4.16 spadd
   D.5.4.17 spsub
   D.5.4.18 spmul
   D.5.4.19 spissemicont
   D.5.4.20 spsemicont
   D.5.4.21 spmilnor
   D.5.4.22 spgeomgenus
   D.5.4.23 spgamma
  D.5.5 hnoether_lib
   D.5.5.1 hnexpansion
   D.5.5.2 sethnering
   D.5.5.3 develop
   D.5.5.4 extdevelop
   D.5.5.5 parametrisation
   D.5.5.6 displayHNE
   D.5.5.7 invariants
   D.5.5.8 displayInvariants
   D.5.5.9 multsequence
   D.5.5.10 displayMultsequence
   D.5.5.11 intersection
   D.5.5.12 stripHNE
   D.5.5.13 is_irred
   D.5.5.14 delta
   D.5.5.15 newtonpoly
   D.5.5.16 is_NND
   D.5.5.17 puiseux2generators
   D.5.5.18 separateHNE
   D.5.5.19 squarefree
   D.5.5.20 allsquarefree
   D.5.5.21 further_hn_proc
  D.5.6 mondromy_lib
   D.5.6.1 detadj
   D.5.6.2 invunit
   D.5.6.3 jacoblift
   D.5.6.4 monodromyB
   D.5.6.5 H2basis
  D.5.7 qhmoduli_lib
   D.5.7.1 ArnoldAction
   D.5.7.2 ModEqn
   D.5.7.3 QuotientEquations
   D.5.7.4 StabEqn
   D.5.7.5 StabEqnId
   D.5.7.6 StabOrder
   D.5.7.7 UpperMonomials
   D.5.7.8 Max
   D.5.7.9 Min
   D.5.7.10 Table
  D.5.8 sing_lib
   D.5.8.1 deform
   D.5.8.2 dim_slocus
   D.5.8.3 is_active
   D.5.8.4 is_ci
   D.5.8.5 is_is
   D.5.8.6 is_reg
   D.5.8.7 is_regs
   D.5.8.8 locstd
   D.5.8.9 milnor
   D.5.8.10 nf_icis
   D.5.8.11 slocus
   D.5.8.12 qhspectrum
   D.5.8.13 Tjurina
   D.5.8.14 tjurina
   D.5.8.15 T_1
   D.5.8.16 T_2
   D.5.8.17 T_12
   D.5.8.18 tangentcone
  D.5.9 spcurve_lib
   D.5.9.1 isCMcod2
   D.5.9.2 CMtype
   D.5.9.3 matrixT1
   D.5.9.4 semiCMcod2
   D.5.9.5 discr
   D.5.9.6 qhmatrix
   D.5.9.7 relweight
   D.5.9.8 posweight
   D.5.9.9 KSpencerKernel
  D.5.10 spectrum_lib
   D.5.10.1 spectrumnd
 D.6 Invariant theory
  D.6.1 finvar_lib
   D.6.1.1 invariant_ring
   D.6.1.2 invariant_ring_random
   D.6.1.3 primary_invariants
   D.6.1.4 primary_invariants_random
   D.6.1.5 cyclotomic
   D.6.1.6 group_reynolds
   D.6.1.7 molien
   D.6.1.8 reynolds_molien
   D.6.1.9 partial_molien
   D.6.1.10 evaluate_reynolds
   D.6.1.11 invariant_basis
   D.6.1.12 invariant_basis_reynolds
   D.6.1.13 primary_char0
   D.6.1.14 primary_charp
   D.6.1.15 primary_char0_no_molien
   D.6.1.16 primary_charp_no_molien
   D.6.1.17 primary_charp_without
   D.6.1.18 primary_char0_random
   D.6.1.19 primary_charp_random
   D.6.1.20 primary_char0_no_molien_random
   D.6.1.21 primary_charp_no_molien_random
   D.6.1.22 primary_charp_without_random
   D.6.1.23 power_products
   D.6.1.24 secondary_char0
   D.6.1.25 secondary_charp
   D.6.1.26 secondary_no_molien
   D.6.1.27 secondary_and_irreducibles_no_molien
   D.6.1.28 secondary_not_cohen_macaulay
   D.6.1.29 orbit_variety
   D.6.1.30 relative_orbit_variety
   D.6.1.31 image_of_variety
  D.6.2 ainvar_lib
   D.6.2.1 invariantRing
   D.6.2.2 derivate
   D.6.2.3 actionIsProper
   D.6.2.4 reduction
   D.6.2.5 completeReduction
   D.6.2.6 localInvar
   D.6.2.7 furtherInvar
   D.6.2.8 sortier
  D.6.3 rinvar_lib
   D.6.3.1 HilbertSeries
   D.6.3.2 HilbertWeights
   D.6.3.3 ImageVariety
   D.6.3.4 ImageGroup
   D.6.3.5 InvariantRing
   D.6.3.6 InvariantQ
   D.6.3.7 LinearizeAction
   D.6.3.8 LinearActionQ
   D.6.3.9 LinearCombinationQ
   D.6.3.10 MinimalDecomposition
   D.6.3.11 NullCone
   D.6.3.12 ReynoldsImage
   D.6.3.13 ReynoldsOperator
   D.6.3.14 SimplifyIdeal
   D.6.3.15 TransferIdeal
  D.6.4 stratify_lib
   D.6.4.1 prepMat
   D.6.4.2 stratify
 D.7 Symbolic-numerical solving
  D.7.1 presolve_lib
   D.7.1.1 degreepart
   D.7.1.2 elimlinearpart
   D.7.1.3 elimpart
   D.7.1.4 elimpartanyr
   D.7.1.5 fastelim
   D.7.1.6 findvars
   D.7.1.7 hilbvec
   D.7.1.8 linearpart
   D.7.1.9 tolessvars
   D.7.1.10 solvelinearpart
   D.7.1.11 sortandmap
   D.7.1.12 sortvars
   D.7.1.13 shortid
   D.7.1.14 valvars
   D.7.1.15 idealSimplify
   D.7.1.16 idealSplit
  D.7.2 solve_lib
   D.7.2.1 laguerre_solve
   D.7.2.2 solve
   D.7.2.3 ures_solve
   D.7.2.4 mp_res_mat
   D.7.2.5 interpolate
   D.7.2.6 fglm_solve
   D.7.2.7 lex_solve
   D.7.2.8 simplexOut
   D.7.2.9 triangLf_solve
   D.7.2.10 triangM_solve
   D.7.2.11 triangL_solve
   D.7.2.12 triang_solve
  D.7.3 triang_lib
   D.7.3.1 triangL
   D.7.3.2 triangLfak
   D.7.3.3 triangM
   D.7.3.4 triangMH
  D.7.4 ntsolve_lib
   D.7.4.1 nt_solve
   D.7.4.2 triMNewton
  D.7.5 zeroset_lib
   D.7.5.1 EGCD
   D.7.5.2 Factor
   D.7.5.3 Quotient
   D.7.5.4 Remainder
   D.7.5.5 Roots
   D.7.5.6 SQFRNorm
   D.7.5.7 ZeroSet
   D.7.5.8 EGCDMain
   D.7.5.9 FactorMain
   D.7.5.10 InvertNumberMain
   D.7.5.11 QuotientMain
   D.7.5.12 RemainderMain
   D.7.5.13 RootsMain
   D.7.5.14 SQFRNormMain
   D.7.5.15 ContainedQ
   D.7.5.16 SameQ
 D.8 Visualization
  D.8.1 graphics_lib
   D.8.1.1 staircase
   D.8.1.2 mathinit
   D.8.1.3 mplot
  D.8.2 latex_lib
   D.8.2.1 closetex
   D.8.2.2 opentex
   D.8.2.3 tex
   D.8.2.4 texdemo
   D.8.2.5 texfactorize
   D.8.2.6 texmap
   D.8.2.7 texname
   D.8.2.8 texobj
   D.8.2.9 texpoly
   D.8.2.10 texproc
   D.8.2.11 texring
   D.8.2.12 rmx
   D.8.2.13 xdvi
  D.8.3 paramet_lib
   D.8.3.1 parametrize
   D.8.3.2 parametrizepd
   D.8.3.3 parametrizesing
  D.8.4 surf_lib
   D.8.4.1 plot
 D.9 Coding theory
  D.9.1 brnoeth_lib
   D.9.1.1 Adj_div
   D.9.1.2 NSplaces
   D.9.1.3 BrillNoether
   D.9.1.4 Weierstrass
   D.9.1.5 extcurve
   D.9.1.6 AGcode_L
   D.9.1.7 AGcode_Omega
   D.9.1.8 prepSV
   D.9.1.9 decodeSV
   D.9.1.10 closed_points
   D.9.1.11 dual_code
   D.9.1.12 sys_code
   D.9.1.13 permute_L
E Release Notes
 E.1 News and changes
 E.2 Downloading instructions
 E.3 Unix installation instructions
 E.4 Windows installation instructions
 E.5 Macintosh installation instructions
F Index

<font size="-1">
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; User manual for <a href="http://www.singular.uni-kl.de/"><i>Singular</i></a> version 2-0-4, October 2002,
generated by <a href="http://www.gnu.org/software/texinfo/"><i>texi2html</i></a>.
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