<1>:                                 intvec expressions		
!	Special characters	sing_36.htm#IDX171	
!=	boolean expressions	sing_36.htm#IDX165	
!= 		sing_86.htm#SEC127	
"	Special characters	sing_36.htm#IDX174	
#	Special characters	sing_36.htm#IDX187	
$	Special characters	sing_36.htm#IDX188	
%	intvec expressions	sing_36.htm#IDX161	
% 		sing_84.htm#SEC125	
%  		sing_96.htm#SEC137	
&&	boolean operations	sing_36.htm#IDX172	
&& 		sing_87.htm#SEC128	
(	Special characters	sing_36.htm#IDX150	
)	Special characters	sing_36.htm#IDX151	
*	intvec expressions	sing_36.htm#IDX159	
* 		sing_72.htm#SEC113	
*  		sing_79.htm#SEC120	
*   		sing_84.htm#SEC125	
*    		sing_92.htm#SEC133	
*     		sing_96.htm#SEC137	
**	Special characters	sing_36.htm#IDX163	
+	intvec expressions	sing_36.htm#IDX155	
+ 		sing_72.htm#SEC113	
+  		sing_79.htm#SEC120	
+   		sing_84.htm#SEC125	
+    		sing_92.htm#SEC133	
+     		sing_96.htm#SEC137	
++	Special characters	sing_36.htm#IDX156	
-	intvec expressions	sing_36.htm#IDX157	
- 		sing_72.htm#SEC113	
-  		sing_84.htm#SEC125	
-   		sing_92.htm#SEC133	
-    		sing_96.htm#SEC137	
--		sing_36.htm#IDX158	
--MPhost		sing_19.htm#IDX136	
--MPport		sing_19.htm#IDX135	
--allow-net		sing_19.htm#IDX109	
--batch		sing_19.htm#IDX134	
--browser		sing_19.htm#IDX113	
--echo		sing_19.htm#IDX105	
--emacs		sing_19.htm#IDX137	
--emacs-dir		sing_19.htm#IDX138	
--emacs-load		sing_19.htm#IDX139	
--execute		sing_19.htm#IDX126	
--help		sing_19.htm#IDX107	
--min-time		sing_19.htm#IDX131	
--no-out		sing_19.htm#IDX119	
--no-rc		sing_19.htm#IDX115	
--no-stdlib		sing_19.htm#IDX117	
--no-tty		sing_19.htm#IDX120	
--no-warn		sing_19.htm#IDX118	
--quiet		sing_19.htm#IDX122	
--random		sing_19.htm#IDX130	
--sdb		sing_19.htm#IDX102	
--singular		sing_19.htm#IDX140	
--ticks-per-sec		sing_19.htm#IDX132	
--user-option		sing_19.htm#IDX128	
--verbose		sing_19.htm#IDX123	
-MPhost	Command line options		
-MPport	Command line options		
-allow-net	Command line options		
-b	Command line options	sing_19.htm#IDX133	
-batch	Command line options		
-browser	Command line options		
-c	Command line options	sing_19.htm#IDX125	
-d	Command line options	sing_19.htm#IDX101	
-e	Command line options	sing_19.htm#IDX104	
-echo	Command line options		
-emacs	Command line options		
-emacs-dir	Command line options		
-emacs-load	Command line options		
-execute	Command line options		
-h	Command line options	sing_19.htm#IDX106	
-help	Command line options		
-min-time	Command line options		
-no-out	Command line options		
-no-rc	Command line options		
-no-stdlib	Command line options		
-no-tty	Command line options		
-no-warn	Command line options		
-q	Command line options	sing_19.htm#IDX121	
-quiet	Command line options		
-r	Command line options	sing_19.htm#IDX129	
-random	Command line options		
-sdb	Command line options		
-singular	Command line options		
-ticks-per-sec	Command line options		
-u	Command line options	sing_19.htm#IDX127	
-user-option	Command line options		
-v	Command line options	sing_19.htm#IDX124	
-verbose	Command line options		
..	Special characters	sing_36.htm#IDX182	
.singularrc file	Startup sequence	sing_20.htm#IDX142	
.singularrc file, no loading	Command line options	sing_19.htm#IDX116	
/	intvec expressions	sing_36.htm#IDX160	
/ 		sing_72.htm#SEC113	
/  		sing_84.htm#SEC125	
/   		sing_96.htm#SEC137	
//	Special characters	sing_36.htm#IDX177	
// 		sing_36.htm#IDX178	
//  		sing_36.htm#IDX179	
:	Special characters	sing_36.htm#IDX183	
: 		sing_96.htm#SEC137	
::	Special characters	sing_36.htm#IDX184	
:: 		sing_134.htm#SEC175	
;	Special characters	sing_36.htm#IDX180	
<	filecmd	sing_36.htm#IDX170	
< 		sing_200.htm#SEC241	
<=	boolean expressions	sing_36.htm#IDX169	
<= 		sing_86.htm#SEC127	
<>	boolean expressions	sing_36.htm#IDX166	
<> 		sing_86.htm#SEC127	
=	Special characters	sing_36.htm#IDX147	
==	boolean expressions	sing_36.htm#IDX164	
== 		sing_86.htm#SEC127	
>	Special characters	sing_36.htm#IDX168	
>=	boolean expressions	sing_36.htm#IDX167	
>= 		sing_86.htm#SEC127	
?	help	sing_36.htm#IDX176	
? 		sing_210.htm#IDX205	
AG codes	AG codes	sing_646.htm#SEC699	
AGcode_L	AGcode_L	sing_1344.htm#SEC1421	60329
AGcode_Omega	AGcode_Omega	sing_1345.htm#SEC1422	56285
ASCII	ASCII	sing_695.htm#SEC772	26816
ASCII links	ASCII links	sing_103.htm#SEC144	
A_L	A_L	sing_1065.htm#SEC1142	16721
A_Z	A_Z	sing_694.htm#SEC771	50866
Adj_div	Adj_div	sing_1339.htm#SEC1416	44919
Alexander polynomial	alexpoly_lib	sing_1036.htm#IDX398	
Algebraic Geometry codes	brnoeth_lib	sing_1338.htm#IDX503	
Algebraic dependence	Algebraic dependence	sing_627.htm#SEC680	
AltVarEnd	AltVarEnd	sing_589.htm#SEC642	47763
AltVarStart	AltVarStart	sing_588.htm#SEC641	22648
Andres, Daniel	Preface	sing_1.htm#IDX36	
Ann	Ann	sing_965.htm#SEC1042	61560
Applications	Applications	sing_644.htm#SEC697	
ArnoldAction	ArnoldAction	sing_1144.htm#SEC1221	26958
Atkin	Atkin	sing_1417.htm#SEC1494	sprintf
Authors	Preface	sing_1.htm#IDX11	
Bachmann, Olaf	Preface	sing_1.htm#IDX23	
Background	Background	sing_3.htm#SEC5	
Basic programming	Basic programming	sing_602.htm#SEC655	
Basic programming 		sing_602.htm#SEC655	
Bayer, Thomas	Preface	sing_1.htm#IDX37	
Becker, Markus	Preface	sing_1.htm#IDX39	
BelongSemig	BelongSemig	sing_870.htm#SEC947	22405
Bermejo, Isabelle	Preface	sing_1.htm#IDX38	
Bernstein polynomial	bernstein	sing_1089.htm#IDX431	
Betti number	Syzygies and resolutions	sing_661.htm#SEC719	
Bigatti-La Scala-Robbiano algorithm	Bigatti and La Scala and Robbiano	sing_671.htm#SEC729	
BinDir	Loading a library	sing_48.htm#SEC86	
BlowingUp	BlowingUp	sing_1070.htm#SEC1147	49897
Branches of space curve singularities	Branches of space curve singularities	sing_635.htm#SEC688	
Brickenstein, Michael	Preface	sing_1.htm#IDX15	
Brieskorn lattice	mondromy_lib	sing_1085.htm#IDX421	
Brieskorn lattice 		sing_1086.htm#IDX430	
Brieskorn lattice  		sing_1107.htm#IDX454	
Brieskorn lattice   		sing_1109.htm#IDX465	
Brieskorn lattice    		sing_1137.htm#IDX492	
Brill-Noether algorithm	brnoeth_lib	sing_1338.htm#IDX504	
BrillNoether	BrillNoether	sing_1341.htm#SEC1418	39919
Buchberger algorithm for toric ideals	Buchberger algorithm	sing_672.htm#SEC730	
Bulygin, Stanislav	Preface	sing_1.htm#IDX40	
C programming language	Major differences to the C programming language	sing_345.htm#SEC386	
C, module ordering	Module orderings	sing_654.htm#IDX348	
CGS, disjoint, reduced, comprehensive Groebner system	buildtree	sing_770.htm#IDX362	
CM_regularity	CM_regularity	sing_1021.htm#SEC1098	33865
CMtype	CMtype	sing_1175.htm#SEC1252	24849
CRHT-ideal	Cooper philosophy	sing_678.htm#SEC743	
Castelnuovo-Mumford regularity	CM_regularity	sing_1021.htm#IDX392	
CenCharDec	CenCharDec	sing_568.htm#SEC621	44505
Center	Center	sing_994.htm#SEC1071	25541
CenterBO	CenterBO	sing_1001.htm#SEC1078	34701
CentralQuot	CentralQuot	sing_566.htm#SEC619	49392
CentralSaturation	CentralSaturation	sing_567.htm#SEC620	31585
Change of rings	Change of rings	sing_9.htm#SEC15	
Characteristic sets	Characteristic sets	sing_662.htm#SEC720	
Classification of hypersurface singularities	Classification of hypersurface singularities	sing_636.htm#SEC689	
Code	Codes and the decoding problem	sing_677.htm#SEC736	
Codes and the decoding problem	Codes and the decoding problem	sing_677.htm#SEC735	
Coding theory	Coding theory	sing_1337.htm#SEC1414	
Command line options	Command line options	sing_19.htm#SEC26	
Commands	Functions and system variables	sing_165.htm#SEC206	
Commutative Algebra	Commutative Algebra	sing_615.htm#SEC668	
Commutative algebra	Commutative algebra	sing_853.htm#SEC930	
CompInt	CompInt	sing_872.htm#SEC949	7518
Computing Groebner and Standard Bases	Computing Groebner and Standard Bases	sing_611.htm#SEC664	
Conti-Traverso algorithm	Conti and Traverso	sing_667.htm#SEC725	
Contributed libraries	Contributed	sing_1575.htm#SEC1652	
Contributors	Preface	sing_1.htm#IDX10	
Control structures	Control structures	sing_314.htm#SEC355	
Control theory	System and Control theory	sing_1371.htm#SEC1448	
Cooper philosophy	Cooper philosophy	sing_678.htm#SEC741	
Cornacchia	Cornacchia	sing_1407.htm#SEC1484	63434
CornacchiaModified	CornacchiaModified	sing_1408.htm#SEC1485	59790
Cremer, Nadine	Preface	sing_1.htm#IDX41	
Critical points	Critical points	sing_630.htm#SEC683	
Cuntz, Michael	Preface	sing_1.htm#IDX42	
CurveParam	CurveParam	sing_1072.htm#SEC1149	38213
CurveRes	CurveRes	sing_1071.htm#SEC1148	16352
Customization of the Emacs interface	Customization of the Emacs interface	sing_25.htm#SEC35	
Cyclic code	decodegb_lib	sing_1352.htm#IDX511	
Cyclic roots	Cyclic roots	sing_608.htm#SEC661	
DBM links	DBM links	sing_107.htm#SEC148	
DISPLAY environment variable	The online help system	sing_16.htm#IDX98	
DLoc	DLoc	sing_501.htm#SEC554	38935
DLoc0	DLoc0	sing_503.htm#SEC556	55563
Data types	Data types	sing_68.htm#SEC109	
Data types (plural)	Data types (plural)	sing_358.htm#IDX288	
Debugging tools	Debugging tools	sing_61.htm#SEC99	
Decker, Wolfram	Preface	sing_1.htm#IDX16	
Decoding	decodegb_lib	sing_1352.htm#IDX513	
Decoding codes with Groebner bases	Decoding codes with Groebner bases	sing_676.htm#SEC734	
Decoding method based on quadratic equations	Decoding method based on quadratic equations	sing_681.htm#SEC752	
DefaultDir	Loading a library	sing_48.htm#SEC86	
Deformations	Deformations	sing_633.htm#SEC686	
Deformations, T1 and T2	T1 and T2	sing_632.htm#SEC685	
Dehmann, Kai	Preface	sing_1.htm#IDX43	
Delta	Delta	sing_1002.htm#SEC1079	33497
DeltaList	DeltaList	sing_1003.htm#SEC1080	65148
Demo mode	Demo mode	sing_24.htm#SEC34	
Depth	Depth	sing_622.htm#SEC675	
Di Biase-Urbanke algorithm	Di Biase and Urbanke	sing_670.htm#SEC728	
Documentation of a library	Documentation of a library	sing_52.htm#SEC90	
Dp, global ordering	Global orderings	sing_652.htm#IDX331	
Dreyer, Alexander	Preface	sing_1.htm#IDX17	
Ds, local ordering	Local orderings	sing_653.htm#IDX341	
Dumnicki, Marcin	Preface	sing_1.htm#IDX44	
Dynamic loading	Dynamic loading	sing_67.htm#SEC108	
Dynamic modules	Dynamic modules	sing_610.htm#SEC663	
ECPP	ECPP	sing_1453.htm#SEC1530	55777
ERROR	ERROR	sing_191.htm#SEC232	
ESingular, no prompt	Unix installation instructions	sing_1584.htm#IDX535	
Editing SINGULAR input files with Emacs	Editing SINGULAR input files with Emacs	sing_26.htm#SEC36	
Editing input	Editing input	sing_18.htm#SEC25	
Elimination	Elimination	sing_618.htm#SEC671	
Emacs	Emacs user interface	sing_21.htm#SEC28	
Emacs, Singular demo mode	Demo mode	sing_24.htm#SEC34	
Emacs, a quick guide	A quick guide to Emacs	sing_22.htm#SEC29	
Emacs, customization of Singular mode	Customization of the Emacs interface	sing_25.htm#SEC35	
Emacs, editing Singular input files	Editing SINGULAR input files with Emacs	sing_26.htm#SEC36	
Emacs, important commands	Top 20 Emacs commands	sing_27.htm#SEC37	
Emacs, overview	A quick guide to Emacs	sing_22.htm#SEC29	
Emacs, running Singular under	Running SINGULAR under Emacs	sing_23.htm#SEC30	
Emacs, user interface	Emacs user interface	sing_21.htm#SEC28	
Endrass, Stephan	Preface	sing_1.htm#IDX45	
Evaluation of logical expressions	Evaluation of logical expressions	sing_347.htm#SEC388	
Examples	Examples	sing_600.htm#SEC653	
Examples of ring declarations	Examples of ring declarations	sing_29.htm#SEC39	
Ext	Ext	sing_895.htm#SEC972	21909
Ext, computation of	Computation of Ext	sing_621.htm#SEC674	
Ext_R	Ext_R	sing_894.htm#SEC971	53310
Exterior	Exterior	sing_577.htm#SEC630	23593
Extra weight vector	Extra weight vector	sing_657.htm#SEC710	
Factorization	Factorization	sing_623.htm#SEC676	
Farran, Jose Ignacio	Preface	sing_1.htm#IDX46	
Finite fields	Finite fields	sing_617.htm#SEC670	
First steps	First steps	sing_6.htm#SEC12	
Fitzgerald-Lax method	Fitzgerald-Lax method	sing_680.htm#SEC749	
Flow control	Flow control	sing_40.htm#SEC69	
Format of a library	Format of a library	sing_49.htm#SEC87	
Formatting output	Formatting output	sing_607.htm#SEC660	
Fr@"uhbis-Kr@"uger, Anne		sing_1.htm#IDX18	
Free resolution	Free resolution	sing_619.htm#SEC672	
Free resolution, graded	Handling graded modules	sing_620.htm#SEC673	
Fru"hbis-Kru"ger, Anne	Preface		
Functions	Functions	sing_166.htm#SEC207	
G-algebra	G-algebras	sing_420.htm#SEC461	
G-algebra 		sing_420.htm#SEC463	
G-algebra, setup	G-algebras	sing_420.htm#SEC465	
GKZsystem	GKZsystem	sing_564.htm#SEC617	791
GKdim	GKdim	sing_537.htm#SEC590	9814
GMP	Preface	sing_1.htm#IDX3	
GTZmod	GTZmod	sing_924.htm#SEC1001	30091
GTZopt	GTZopt	sing_931.htm#SEC1008	14642
G_a -Invariants	G_a -Invariants	sing_639.htm#SEC692	
Garcia-Marco, I.	Preface	sing_1.htm#IDX47	
Gauss-Manin connection	spectrumnd	sing_663.htm#SEC721	
Gauss-Manin connection 		sing_1137.htm#IDX491	
Gauss-Manin connection  		sing_1184.htm#IDX494	
Gauss-Manin system	goodBasis	sing_1085.htm#IDX420	
Gauss-Manin system 		sing_1086.htm#IDX429	
Gauss-Manin system  		sing_1107.htm#IDX453	
Gauss-Manin system   		sing_1109.htm#IDX464	
General command syntax	General command syntax	sing_35.htm#SEC58	
General concepts	General concepts	sing_12.htm#SEC18	
General purpose	General purpose	sing_688.htm#SEC765	
General syntax of a ring declaration	General syntax of a ring declaration	sing_30.htm#SEC40	
Generalized Hilbert Syzygy Theorem	Syzygies and resolutions (plural)	sing_422.htm#SEC473	
Generalized Newton identities	Generalized Newton identities	sing_679.htm#SEC746	
Gerdt, Vladimir	Preface	sing_1.htm#IDX48	
German Umlaute	Limitations	sing_343.htm#IDX275	
Getting started	Getting started	sing_5.htm#SEC11	
Gimenez, Philippe	Preface	sing_1.htm#IDX49	
Global orderings	Global orderings	sing_652.htm#SEC705	
Gorzel, Christian	Preface	sing_1.htm#IDX50	
Grassmann, Hubert	Preface	sing_1.htm#IDX51	
Greuel, Gert-Martin	Preface	sing_1.htm#IDX12	
Groebner Bases	Computing Groebner and Standard Bases	sing_611.htm#SEC664	
Groebner bases	decodegb_lib	sing_1352.htm#IDX515	
Groebner bases in G-algebras	Groebner bases in G-algebras	sing_421.htm#SEC466	
Groebner bases in free associative algebras	Groebner bases for two-sided ideals in free associative algebras	sing_427.htm#SEC480	
Groebner bases, slim	slim Groebner bases	sing_614.htm#SEC667	
Groebner basis conversion	Groebner basis conversion	sing_613.htm#SEC666	
Groebner fan	polymake_lib	sing_1521.htm#IDX527	
Groebner walk	gwalk	sing_887.htm#IDX378	
Groebner walk 		sing_889.htm#IDX380	
Guidelines for writing a library	Guidelines for writing a library	sing_50.htm#SEC88	
Gweights	Gweights	sing_571.htm#SEC624	651
H2basis	H2basis	sing_1142.htm#SEC1219	3414
Hamburger-Noether expansion	hnoether_lib	sing_1036.htm#IDX394	
Hamburger-Noether expansion 		sing_1110.htm#IDX473	
Hamburger-Noether expansions	Adj_div	sing_1339.htm#IDX505	
Handling graded modules	Handling graded modules	sing_620.htm#SEC673	
Hashemi, Amir	Preface	sing_1.htm#IDX52	
Hcode	Hcode	sing_1058.htm#SEC1135	26628
Hernando, Fernando	Preface	sing_1.htm#IDX53	
Heydtmann, Agnes	Preface	sing_1.htm#IDX54	
Hilbert function	Hilbert function	sing_295.htm#IDX237	
Hilbert function 		sing_660.htm#SEC715	
Hilbert series	Hilbert function	sing_660.htm#SEC715	
Hilbert-driven GB algorithm	Groebner basis conversion	sing_613.htm#SEC666	
HilbertClassPoly	HilbertClassPoly	sing_1414.htm#SEC1491	sprintf
HilbertSeries	HilbertSeries	sing_1233.htm#SEC1310	21249
HilbertWeights	HilbertWeights	sing_1234.htm#SEC1311	sprintf
Hillebrand, Dietmar	Preface	sing_1.htm#IDX55	
Hirsch, Tobias	Preface	sing_1.htm#IDX56	
Hochstetter, Markus	Preface	sing_1.htm#IDX57	
Hom	Hom	sing_898.htm#SEC975	61434
HomJJ	HomJJ	sing_952.htm#SEC1029	1525
Hosten-Sturmfels algorithm	Hosten and Sturmfels	sing_669.htm#SEC727	
How to enter and exit	How to enter and exit	sing_14.htm#SEC20	
How to use this manual	How to use this manual	sing_4.htm#SEC6	
Hypersurface singularities, classification of	Classification of hypersurface singularities	sing_636.htm#SEC689	
IN	lead	sing_231.htm#IDX206	
Ideal membership	Standard bases	sing_659.htm#IDX353	
Identifiers, syntax of	Names	sing_37.htm#SEC64	
Iena, Oleksandr	Preface	sing_1.htm#IDX58	
ImageGroup	ImageGroup	sing_1236.htm#SEC1313	28808
ImageVariety	ImageVariety	sing_1235.htm#SEC1312	15252
Imap, option	option	sing_259.htm#IDX226	
Implemented algorithms	Implemented algorithms	sing_33.htm#SEC46	
Index	Index	sing_1587.htm#SEC1690	
InterDiv	InterDiv	sing_1326.htm#SEC1403	45354
Interactive use	Interactive use	sing_13.htm#SEC19	
Interrupting SINGULAR	Interrupting SINGULAR	sing_17.htm#SEC24	
IntersectWithSub	IntersectWithSub	sing_569.htm#SEC622	19793
Introduction	Introduction	sing_2.htm#SEC4	
Invariant Theory	Invariant Theory	sing_638.htm#SEC691	
Invariant theory	Invariant theory	sing_1185.htm#SEC1262	
InvariantQ	InvariantQ	sing_1238.htm#SEC1315	53256
InvariantRing	InvariantRing	sing_1237.htm#SEC1314	22928
Invariants of a finite group	Invariants of a finite group	sing_640.htm#SEC693	
Invariants of plane curve singularities	Invariants of plane curve singularities	sing_634.htm#SEC687	
IsSCA	IsSCA	sing_590.htm#SEC643	21962
Jacobi	Jacobi	sing_1426.htm#SEC1503	29843
KScoef	KScoef	sing_1135.htm#SEC1212	sprintf
KSconvert	KSconvert	sing_1133.htm#SEC1210	3585
KSker	KSker	sing_1132.htm#SEC1209	40166
KSlinear	KSlinear	sing_1134.htm#SEC1211	19896
KSpencerKernel	KSpencerKernel	sing_1182.htm#SEC1259	12490
Kauers, Manuel	Preface	sing_1.htm#IDX59	
Kernel of module homomorphisms	Kernel of module homomorphisms	sing_626.htm#SEC679	
King, Simon	Preface	sing_1.htm#IDX60	
KoszulHomology	KoszulHomology	sing_907.htm#SEC984	sprintf
Kr@"uger, Kai		sing_1.htm#IDX24	
Kru"ger, Kai	Preface		
LETTERPLACE	LETTERPLACE	sing_425.htm#SEC478	
LIB	LIB	sing_235.htm#SEC276	
LIBs	SINGULAR libraries	sing_684.htm#SEC761	
LLL	LLL	sing_913.htm#SEC990	32748
Lakhal, Anen	Preface	sing_1.htm#IDX61	
Lamm, Martin	Preface	sing_1.htm#IDX62	
Laplagne, Santiago	Preface	sing_1.htm#IDX63	
Lecerf, Gregoire	Preface	sing_1.htm#IDX64	
Left and two-sided Groebner bases	Left and two-sided Groebner bases	sing_642.htm#SEC695	
Left ideal membership	Groebner bases in G-algebras	sing_421.htm#SEC469	
Left normal form	Groebner bases in G-algebras	sing_421.htm#SEC468	
LengthSym	LengthSym	sing_599.htm#SEC652	16591
LengthSymElement	LengthSymElement	sing_598.htm#SEC651	28292
Letterplace	LETTERPLACE	sing_425.htm#SEC478	
Levandovskyy, Viktor	Preface	sing_1.htm#IDX19	
Lexicographic Groebner bases, computation of	Groebner basis conversion	sing_613.htm#SEC666	
Libraries	Writing procedures and libraries	sing_47.htm#SEC85	
Libraries 		sing_603.htm#SEC656	
Limitations	Limitations	sing_343.htm#SEC384	
Linear algebra	Linear algebra	sing_793.htm#SEC870	
Linear code	decodegb_lib	sing_1352.htm#IDX512	
LinearActionQ	LinearActionQ	sing_1240.htm#SEC1317	62218
LinearCombinationQ	LinearCombinationQ	sing_1241.htm#SEC1318	59373
LinearizeAction	LinearizeAction	sing_1239.htm#SEC1316	60266
Loading a library	Loading a library	sing_48.htm#SEC86	
Lobillo, Javier	Preface	sing_1.htm#IDX65	
Local orderings	Local orderings	sing_653.htm#SEC706	
Long coefficients	Long coefficients	sing_605.htm#SEC658	
Lossen, Christoph	Preface	sing_1.htm#IDX25	
M, ordering	Matrix orderings	sing_655.htm#SEC708	
MP	Preface	sing_1.htm#IDX4	
MP links	MP links	sing_104.htm#SEC145	
MP, groebner basis computations	groebner	sing_209.htm#IDX204	
MPfile links	MPfile links	sing_105.htm#SEC146	
MPtcp	Parallelization with MPtcp links	sing_609.htm#SEC662	
MPtcp links	MPtcp links	sing_106.htm#SEC147	
Macintosh installation	Macintosh installation instructions	sing_1586.htm#SEC1689	
Mang, Christoph	Preface	sing_1.htm#IDX66	
Markwig, Thomas	Preface	sing_1.htm#IDX67	
Martin, Bernd	Preface	sing_1.htm#IDX68	
Mathematical background	Mathematical background	sing_658.htm#SEC711	
Mathematical background (plural)	Mathematical background (plural)	sing_419.htm#SEC460	
Matrix orderings	Matrix orderings	sing_655.htm#SEC708	
Max	Max	sing_1151.htm#SEC1228	22
Messollen, Michael	Preface	sing_1.htm#IDX69	
MillerRabin	MillerRabin	sing_1436.htm#SEC1513	15740
Milnor number	Milnor and Tjurina number	sing_629.htm#SEC682	
Min	Min	sing_1152.htm#SEC1229	29622
MinMult	MinMult	sing_871.htm#SEC948	39835
Mindnich, Andrea	Preface	sing_1.htm#IDX70	
MinimalDecomposition	MinimalDecomposition	sing_1242.htm#SEC1319	24161
Minimum distance	decodegb_lib	sing_1352.htm#IDX514	
ModEqn	ModEqn	sing_1145.htm#SEC1222	59394
Module orderings	Module orderings	sing_654.htm#SEC707	
Modules and and their annihilator	Modules and their annihilator	sing_10.htm#SEC16	
Monodromy	mondromy_lib	sing_1137.htm#IDX489	
Monomial orderings	Monomial orderings	sing_649.htm#SEC702	
Monomial orderings, Term orderings	Term orderings	sing_31.htm#SEC43	
Morales, Jorge Martin	Preface	sing_1.htm#IDX71	
Motsak, Oleksandr	Preface	sing_1.htm#IDX20	
N@"ussler, Thomas		sing_1.htm#IDX72	
NF	reduce (plural)	sing_275.htm#SEC316	
NF 		sing_411.htm#SEC452	
NFMora	NFMora	sing_1475.htm#SEC1552	40670
NPos	NPos	sing_944.htm#SEC1021	15702
NPos_test	NPos_test	sing_942.htm#SEC1019	48172
NSplaces	NSplaces	sing_1340.htm#SEC1417	48675
NTL	Preface	sing_1.htm#IDX5	
Names	Names	sing_37.htm#SEC64	
Names in procedures	Names in procedures	sing_44.htm#SEC82	
Names, indexed	Names	sing_37.htm#SEC64	
Neumann, Wolfgang	Preface	sing_1.htm#IDX26	
Newton non-degenerate	is_NND	sing_1124.htm#IDX487	
Newton polygon	is_NND	sing_1123.htm#IDX486	
Newton polygon 		sing_1124.htm#IDX488	
Newton polytope	polymake_lib	sing_1521.htm#IDX526	
NoetherPosition	NoetherPosition	sing_938.htm#SEC1015	18735
Non-commutative LIBs	Non-commutative libraries	sing_431.htm#SEC484	
Non-commutative algebra	Non-commutative algebra	sing_641.htm#SEC694	
Non-commutative algebra 		sing_675.htm#SEC733	
Non-commutative libraries	Non-commutative libraries	sing_431.htm#SEC484	
Non-commutative subsystem	Non-commutative subsystem	sing_356.htm#SEC397	
Normal form	Standard bases	sing_659.htm#IDX352	
Normalization	Normalization	sing_625.htm#SEC678	
Nu"ssler, Thomas	Preface		
NullCone	NullCone	sing_1243.htm#SEC1320	64635
Objects	Objects	sing_38.htm#SEC65	
Output, formatting of	Formatting output	sing_607.htm#SEC660	
PBW	central_lib	sing_446.htm#IDX301	
PBW basis	G-algebras	sing_420.htm#SEC462	
PBW_eqDeg	PBW_eqDeg	sing_464.htm#SEC517	23181
PBW_maxDeg	PBW_maxDeg	sing_465.htm#SEC518	59566
PBW_maxMonom	PBW_maxMonom	sing_466.htm#SEC519	1155
PH_ais	PH_ais	sing_1579.htm#SEC1656	49473
PH_nais	PH_nais	sing_1580.htm#SEC1657	46271
PLURAL	PLURAL	sing_357.htm#SEC398	
PLURAL LIBs	Non-commutative libraries	sing_431.htm#SEC484	
Parallelization	Parallelization with MPtcp links	sing_609.htm#SEC662	
Parameter list	Parameter list	sing_45.htm#SEC83	
Parameters	Parameters	sing_606.htm#SEC659	
PerfectPowerTest	PerfectPowerTest	sing_1397.htm#SEC1474	17450
Perling, Markus	Preface	sing_1.htm#IDX27	
Perturbation walk	pwalk	sing_888.htm#IDX379	
Pfister, Gerhard	Preface	sing_1.htm#IDX13	
PocklingtonLehmer	PocklingtonLehmer	sing_1438.htm#SEC1515	13634
Pohl, Wilfred	Preface	sing_1.htm#IDX28	
Polar curves	Polar curves	sing_631.htm#SEC684	
PollardRho	PollardRho	sing_1439.htm#SEC1516	38835
Polynomial data	Polynomial data	sing_647.htm#SEC700	
Pottier algorithm	Pottier	sing_668.htm#SEC726	
Povalyaeva, Tetyana	Preface	sing_1.htm#IDX73	
Preface	Preface	sing_1.htm#SEC1	
Primary decomposition	Primary decomposition	sing_624.htm#SEC677	
PrimdecA	PrimdecA	sing_920.htm#SEC997	248
PrimdecB	PrimdecB	sing_921.htm#SEC998	9653
Procedure commands	Procedure commands	sing_46.htm#SEC84	
Procedure definition	Procedure definition	sing_43.htm#SEC78	
Procedures	Procedures	sing_42.htm#SEC77	
Procedures and libraries	Writing procedures and libraries	sing_8.htm#SEC14	
Procedures and libraries 		sing_603.htm#SEC656	
Procedures in a library	Procedures in a library	sing_51.htm#SEC89	
Product orderings	Product orderings	sing_656.htm#SEC709	
Programming	Programming	sing_601.htm#SEC654	
Puiseux expansion	hnoether_lib	sing_1036.htm#IDX395	
Puiseux expansion 		sing_1110.htm#IDX474	
Puiseux pairs	invariants	sing_634.htm#SEC687	
Puiseux pairs 		sing_1116.htm#IDX479	
Qso3Casimir	Qso3Casimir	sing_563.htm#SEC616	40212
Quotient	Quotient	sing_1288.htm#SEC1365	10390
QuotientEquations	QuotientEquations	sing_1146.htm#SEC1223	18230
Rabelo, Carlos	Preface	sing_1.htm#IDX74	
ReesAlgebra	ReesAlgebra	sing_989.htm#SEC1066	59951
References	References	sing_683.htm#SEC758	
References (plural)	References (plural)	sing_423.htm#SEC474	
Release Notes	Release Notes	sing_1581.htm#SEC1658	
ResTree	ResTree	sing_1327.htm#SEC1404	55897
Resolution	Resolution	sing_11.htm#SEC17	
Resolution of singularities	Resolution of singularities	sing_637.htm#SEC690	
Resolution, free	Free resolution	sing_619.htm#SEC672	
ReynoldsImage	ReynoldsImage	sing_1244.htm#SEC1321	35172
ReynoldsOperator	ReynoldsOperator	sing_1245.htm#SEC1322	14986
Right Groebner bases and syzygies	Right Groebner bases and syzygies	sing_643.htm#SEC696	
Rings and orderings	Rings and orderings	sing_28.htm#SEC38	
Rings and standard bases	Rings and standard bases	sing_7.htm#SEC13	
RootDir	Loading a library	sing_48.htm#SEC86	
Running SINGULAR under Emacs	Running SINGULAR under Emacs	sing_23.htm#SEC30	
SCA, Super-commutative algebras, Z_2-graded algebras	Super-commutative algebras	sing_424.htm#SEC477	
SDB breakpoint	Source code debugger	sing_63.htm#SEC104	
SDB debugger	Source code debugger	sing_63.htm#SEC104	
SDLoc	SDLoc	sing_502.htm#SEC555	41981
SINGULAR libraries	SINGULAR libraries	sing_684.htm#SEC761	
SINGULARHIST	Editing input	sing_18.htm#SEC25	
SINGULARPATH	Loading a library	sing_48.htm#SEC86	
SV-decoding algorithm	decodeSV	sing_1347.htm#IDX508	
SV-decoding algorithm, preprocessing	prepSV	sing_1346.htm#IDX507	
Salazar-Gonzalez, J.-J.	Preface	sing_1.htm#IDX75	
Sanchez-Navarro, Alfredo	Preface	sing_1.htm#IDX76	
Sannfs	Sannfs	sing_470.htm#SEC523	37497
SannfsBFCT	SannfsBFCT	sing_482.htm#SEC535	19127
SannfsBM	SannfsBM	sing_481.htm#SEC534	60484
SannfsLOT	SannfsLOT	sing_483.htm#SEC536	24161
SannfsOT	SannfsOT	sing_484.htm#SEC537	60244
Sannfslog	Sannfslog	sing_471.htm#SEC524	35542
Saturation	Saturation	sing_616.htm#SEC669	
Saynisch, Ivor	Preface	sing_1.htm#IDX77	
Sch@"onemann, Hans		sing_1.htm#IDX14	
Schindelar, Kristina	Preface	sing_1.htm#IDX78	
Schmidt, Jens	Preface	sing_1.htm#IDX29	
Scho"nemann, Hans	Preface		
Schoof	Schoof	sing_1450.htm#SEC1527	49281
Schulze, Mathias	Preface	sing_1.htm#IDX21	
Schulze, Mathias 		sing_1.htm#IDX30	
SearchPath	Loading a library	sing_48.htm#SEC86	
Seelisch, Frank	Preface	sing_1.htm#IDX22	
Setting up a G-algebra	G-algebras	sing_420.htm#SEC465	
ShanksMestre	ShanksMestre	sing_1449.htm#SEC1526	12973
Siebert, Thomas	Preface	sing_1.htm#IDX31	
SimplifyIdeal	SimplifyIdeal	sing_1246.htm#SEC1323	sprintf
Singular	system	sing_297.htm#IDX258	
Singular, customization of Emacs user interface	Customization of the Emacs interface	sing_25.htm#SEC35	
Singular, demo mode	Demo mode	sing_24.htm#SEC34	
Singular, editing input files with Emacs	Editing SINGULAR input files with Emacs	sing_26.htm#SEC36	
Singular, important commands of Emacs interface	Top 20 Emacs commands	sing_27.htm#SEC37	
Singular, running within Emacs	Running SINGULAR under Emacs	sing_23.htm#SEC30	
SingularLib	system	sing_297.htm#IDX260	
Singularities	Singularities	sing_1035.htm#SEC1112	
Singularity Theory	Singularity Theory	sing_628.htm#SEC681	
SolowayStrassen	SolowayStrassen	sing_1437.htm#SEC1514	22680
Solving systems of polynomial equations	Solving systems of polynomial equations	sing_645.htm#SEC698	
Source code debugger, invocation	Command line options	sing_19.htm#IDX103	
Space curve singularities, branches of	Branches of space curve singularities	sing_635.htm#SEC688	
Spang, Silke	Preface	sing_1.htm#IDX79	
Special characters	Special characters	sing_36.htm#SEC63	
StabEqn	StabEqn	sing_1147.htm#SEC1224	28539
StabEqnId	StabEqnId	sing_1148.htm#SEC1225	27955
StabOrder	StabOrder	sing_1149.htm#SEC1226	55603
Standard Bases	Computing Groebner and Standard Bases	sing_611.htm#SEC664	
Standard bases	Standard bases	sing_659.htm#SEC712	
Startup sequence	Startup sequence	sing_20.htm#SEC27	
Steidel, Stefan	Preface	sing_1.htm#IDX80	
Stobbe, R@"udiger		sing_1.htm#IDX32	
Stobbe, Ru"diger	Preface		
StringF	StringF	sing_1136.htm#SEC1213	11590
Strohmayer, Henrik	Preface	sing_1.htm#IDX81	
Stussak, Christian	Preface	sing_1.htm#IDX82	
SuSE, ESingular bug	Unix installation instructions	sing_1584.htm#IDX534	
Sulandra, Imade	Preface	sing_1.htm#IDX83	
Suzuki, Akira	Preface	sing_1.htm#IDX84	
SymGroup	SymGroup	sing_597.htm#SEC650	56676
Symbolic-numerical solving	Symbolic-numerical solving	sing_645.htm#SEC698	
Symbolic-numerical solving 		sing_1250.htm#SEC1327	
System and Control theory	System and Control theory	sing_1371.htm#SEC1448	
System dependent limitations	System dependent limitations	sing_344.htm#SEC385	
System variables	System variables	sing_330.htm#SEC371	
Syzygies and resolutions	Syzygies and resolutions	sing_661.htm#SEC716	
Syzygies and resolutions (plural)	Syzygies and resolutions (plural)	sing_422.htm#SEC470	
T1	T1 and T2	sing_632.htm#SEC685	
T2	T1 and T2	sing_632.htm#SEC685	
TRACE	TRACE var	sing_339.htm#SEC380	
T_1	T_1	sing_1169.htm#SEC1246	59277
T_12	T_12	sing_1171.htm#SEC1248	12923
T_2	T_2	sing_1170.htm#SEC1247	55781
Teaching	Teaching	sing_1393.htm#SEC1470	
Template for writing a library	template_lib	sing_57.htm#SEC95	
The SINGULAR language	The SINGULAR language	sing_34.htm#SEC55	
The Tran algorithm	twalk	sing_885.htm#IDX376	
The fractal walk algorithm	fwalk	sing_884.htm#IDX375	
The online help system	The online help system	sing_16.htm#SEC22	
Theis, Christine	Preface	sing_1.htm#IDX86	
Tjurina	Tjurina	sing_1167.htm#SEC1244	11249
Tjurina number	deltaLoc	sing_629.htm#SEC682	
Tjurina number 		sing_957.htm#IDX385	
Tobis, Enrique	Preface	sing_1.htm#IDX85	
Top 20 Emacs commands	Top 20 Emacs commands	sing_27.htm#SEC37	
Tor	Tor	sing_909.htm#SEC986	sprintf
Toric ideals and integer programming	Toric ideals and integer programming	sing_664.htm#SEC722	
Tricks and pitfalls	Tricks and pitfalls	sing_342.htm#SEC383	
Tropical Geometry	Tropical Geometry	sing_1520.htm#SEC1597	
Type casting	Type conversion and casting	sing_39.htm#SEC68	
Type conversion	Type conversion and casting	sing_39.htm#SEC67	
Typesetting of help strings	Typesetting of help strings	sing_54.htm#SEC92	
U_D_O	U_D_O	sing_842.htm#SEC919	26192
Unix installation	Unix installation instructions	sing_1584.htm#SEC1683	
UpOneMatrix	UpOneMatrix	sing_587.htm#SEC640	63020
UpperMonomials	UpperMonomials	sing_1150.htm#SEC1227	20941
V-filtration	goodBasis	sing_1085.htm#IDX423	
V-filtration 		sing_1091.htm#IDX434	
V-filtration  		sing_1092.htm#IDX437	
V-filtration   		sing_1093.htm#IDX442	
V-filtration    		sing_1094.htm#IDX445	
V-filtration     		sing_1096.htm#IDX450	
V-filtration      		sing_1107.htm#IDX456	
V-filtration       		sing_1109.htm#IDX467	
Variables, indexed	Names	sing_37.htm#SEC64	
Viazovska, Maryna	Preface	sing_1.htm#IDX87	
Vigneron-Tenorio, Alberto	Preface	sing_1.htm#IDX88	
Visualization	Visualization	sing_1306.htm#SEC1383	
WP, global ordering	Global orderings	sing_652.htm#IDX335	
WSemigroup	WSemigroup	sing_1073.htm#SEC1150	31355
Weierstrass	Weierstrass	sing_1342.htm#SEC1419	58220
Weierstrass semigroup	brnoeth_lib	sing_1338.htm#IDX502	
Wenk, Moritz	Preface	sing_1.htm#IDX89	
Westenberger, Eric	Preface	sing_1.htm#IDX33	
Weyl	Weyl	sing_574.htm#SEC627	29212
Wichmann, Tim	Preface	sing_1.htm#IDX34	
Wienand, Oliver	Preface	sing_1.htm#IDX35	
Windows installation	Windows installation instructions	sing_1585.htm#SEC1686	
Ws, local ordering	Local orderings	sing_653.htm#IDX347	
Yanovich, Denis	Preface	sing_1.htm#IDX90	
[	Special characters	sing_36.htm#IDX153	
\	Special characters	sing_36.htm#IDX181	
]	Special characters	sing_36.htm#IDX154	
^	ideal operations	sing_36.htm#IDX162	
^ 		sing_72.htm#SEC113	
^  		sing_79.htm#SEC120	
_	Special characters	sing_36.htm#IDX185	
`	Special characters	sing_36.htm#IDX175	
a, ordering	Extra weight vector	sing_657.htm#SEC710	
absFactorize	absFactorize	sing_855.htm#SEC932	52546
absPrimdecGTZ	absPrimdecGTZ	sing_979.htm#SEC1056	27310
absValue	absValue	sing_696.htm#SEC773	54595
absfact.lib	absfact_lib	sing_854.htm#SEC931	
absfact_lib	absfact_lib	sing_854.htm#SEC931	
abstractR	abstractR	sing_1011.htm#SEC1088	22284
actionIsProper	actionIsProper	sing_1226.htm#SEC1303	52474
addcol	addcol	sing_811.htm#SEC888	52204
addrow	addrow	sing_812.htm#SEC889	44143
ademRelations	ademRelations	sing_529.htm#SEC582	30263
adjoint	adjoint	sing_836.htm#SEC913	56619
adjunction divisor	Adj_div	sing_1339.htm#IDX506	
affine code	Fitzgerald-Lax method	sing_680.htm#SEC750	
ainvar.lib	ainvar_lib	sing_1223.htm#SEC1300	
ainvar_lib	ainvar_lib	sing_1223.htm#SEC1300	
aksaka.lib	aksaka_lib	sing_1394.htm#SEC1471	
aksaka_lib	aksaka_lib	sing_1394.htm#SEC1471	
alexanderpolynomial	alexanderpolynomial	sing_1039.htm#SEC1116	36814
alexpoly.lib	alexpoly_lib	sing_1036.htm#SEC1113	
alexpoly_lib	alexpoly_lib	sing_1036.htm#SEC1113	
algDependent	algDependent	sing_860.htm#SEC937	8272
alg_kernel	alg_kernel	sing_861.htm#SEC938	307
algebra.lib	algebra_lib	sing_856.htm#SEC933	
algebra_containment	algebra_containment	sing_857.htm#SEC934	47912
algebra_lib	algebra_lib	sing_856.htm#SEC933	
algebraic dependence	perron_lib	sing_592.htm#IDX320	
algebraic field extension	splitring	sing_983.htm#IDX387	
algorithm of Bigatti, La Scala and Robbiano	Bigatti and La Scala and Robbiano	sing_671.htm#SEC729	
algorithm of Conti and Traverso	Conti and Traverso	sing_667.htm#SEC725	
algorithm of Di Biase and Urbanke	Di Biase and Urbanke	sing_670.htm#SEC728	
algorithm of Hosten and Sturmfels	Hosten and Sturmfels	sing_669.htm#SEC727	
algorithm of Pottier	Pottier	sing_668.htm#SEC726	
all.lib	all_lib	sing_689.htm#SEC766	
allPositive	allPositive	sing_443.htm#SEC496	1409
all_lib	all_lib	sing_689.htm#SEC766	
allowing net access	Command line options	sing_19.htm#IDX111	
allprint	allprint	sing_717.htm#SEC794	5195
allreal	allreal	sing_1512.htm#SEC1589	57232
allrealst	allrealst	sing_1510.htm#SEC1587	40962
allsquarefree	allsquarefree	sing_1129.htm#SEC1206	45545
and	Evaluation of logical expressions	sing_87.htm#SEC128	
and 		sing_347.htm#SEC388	
annPoly	annPoly	sing_499.htm#SEC552	26354
annRat	annRat	sing_500.htm#SEC553	26896
annfs	annfs	sing_468.htm#SEC521	32230
annfs0	annfs0	sing_485.htm#SEC538	26168
annfs2	annfs2	sing_486.htm#SEC539	55516
annfsBM	annfsBM	sing_478.htm#SEC531	37487
annfsBMI	annfsBMI	sing_476.htm#SEC529	27724
annfsLOT	annfsLOT	sing_479.htm#SEC532	46556
annfsOT	annfsOT	sing_480.htm#SEC533	5190
annfsParamBM	annfsParamBM	sing_475.htm#SEC528	43587
annfsRB	annfsRB	sing_487.htm#SEC540	38418
annfspecial	annfspecial	sing_469.htm#SEC522	57568
annil	annil	sing_926.htm#SEC1003	48744
appelF1	appelF1	sing_509.htm#SEC562	17783
appelF2	appelF2	sing_510.htm#SEC563	sprintf
appelF4	appelF4	sing_511.htm#SEC564	35194
applyAdF	applyAdF	sing_459.htm#SEC512	40329
arcpoint.lib	arcpoint_lib	sing_1049.htm#SEC1126	
arcpoint_lib	arcpoint_lib	sing_1049.htm#SEC1126	
argument, default	Parameter list	sing_45.htm#SEC83	
argument, optional	Parameter list	sing_45.htm#SEC83	
arrange	arrange	sing_491.htm#SEC544	50350
ask	ask	sing_1402.htm#SEC1479	3862
atkins.lib	atkins_lib	sing_1403.htm#SEC1480	
atkins_lib	atkins_lib	sing_1403.htm#SEC1480	
attrib	attrib	sing_167.htm#SEC208	
autonom	autonom	sing_1376.htm#SEC1453	57044
autonomDim	autonomDim	sing_1377.htm#SEC1454	30055
awalk1	awalk1	sing_886.htm#SEC963	11044
awalk2	awalk2	sing_887.htm#SEC964	8955
bFactor	bFactor	sing_508.htm#SEC561	28801
babyGiant	babyGiant	sing_1434.htm#SEC1511	41113
bareiss	bareiss	sing_168.htm#SEC209	
base2str	base2str	sing_692.htm#SEC769	sprintf
basering	def	sing_28.htm#IDX146	
basering 		sing_74.htm#SEC115	
basicinvariants	basicinvariants	sing_1055.htm#SEC1132	32136
bernstein	bernstein	sing_1089.htm#SEC1166	34280
bernsteinBM	bernsteinBM	sing_472.htm#SEC525	19828
betti	betti	sing_169.htm#SEC210	
betti (plural)	betti (plural)	sing_391.htm#SEC432	
bfct	bfct	sing_433.htm#SEC486	5953
bfctAnn	bfctAnn	sing_435.htm#SEC488	52517
bfctIdeal	bfctIdeal	sing_437.htm#SEC490	53572
bfctOneGB	bfctOneGB	sing_436.htm#SEC489	32422
bfctSyz	bfctSyz	sing_434.htm#SEC487	15690
bfun.lib	bfun_lib	sing_432.htm#SEC485	
bfun.lib 		sing_432.htm#IDX293	
bfun_lib	bfun_lib	sing_432.htm#SEC485	
bfun_lib 		sing_432.htm#IDX294	
bigint	bigint	sing_69.htm#SEC110	
bigint declarations	bigint declarations	sing_70.htm#SEC111	
bigint expressions	bigint expressions	sing_71.htm#SEC112	
bigint operations	bigint operations	sing_72.htm#SEC113	
bigint related functions	bigint related functions	sing_73.htm#SEC114	
binomial	binomial	sing_697.htm#SEC774	48021
block	Control structures	sing_40.htm#SEC69	
block 		sing_314.htm#SEC355	
blowUp	blowUp	sing_992.htm#SEC1069	34819
blowUp2	blowUp2	sing_993.htm#SEC1070	65264
blowUpBO	blowUpBO	sing_999.htm#SEC1076	58146
blowup0	blowup0	sing_874.htm#SEC951	44451
boolean expressions	boolean expressions	sing_86.htm#SEC127	
boolean operations	boolean operations	sing_87.htm#SEC128	
boundBuFou	boundBuFou	sing_1507.htm#SEC1584	26589
boundDes	boundDes	sing_1509.htm#SEC1586	35149
boundposDes	boundposDes	sing_1508.htm#SEC1585	58854
bracket	bracket	sing_350.htm#SEC391	
bracket 		sing_392.htm#SEC433	
break	break	sing_315.htm#SEC356	
break point	~	sing_329.htm#SEC370	
breakpoint	breakpoint	sing_316.htm#SEC357	
brnoeth.lib	brnoeth_lib	sing_1338.htm#SEC1415	
brnoeth_lib	brnoeth_lib	sing_1338.htm#SEC1415	
browser, command line option	Command line options	sing_19.htm#IDX114	
browser, setting the	system	sing_297.htm#IDX270	
browsers	The online help system	sing_16.htm#IDX91	
browsers, setting the	system	sing_297.htm#IDX269	
bubblesort	bubblesort	sing_1405.htm#SEC1482	63278
bug, ESingular	Unix installation instructions	sing_1584.htm#IDX536	
buildtree	buildtree	sing_770.htm#SEC847	24362
buildtree, Maple	buildtreetoMaple	sing_771.htm#IDX363	
buildtree, buildtreetoMaple, CGS	finalcases	sing_772.htm#IDX364	
buildtreetoMaple	buildtreetoMaple	sing_771.htm#SEC848	27880
busadj	busadj	sing_834.htm#SEC911	36301
c, module ordering	Module orderings	sing_654.htm#IDX350	
canonize	canonize	sing_1384.htm#SEC1461	54090
cantodiffcgs	cantodiffcgs	sing_776.htm#SEC853	6347
cantoradd	cantoradd	sing_1463.htm#SEC1540	55304
cantormult	cantormult	sing_1466.htm#SEC1543	57569
cantorred	cantorred	sing_1464.htm#SEC1541	46502
case	No case or switch statement	sing_348.htm#SEC389	
category in a library	Format of a library	sing_49.htm#IDX191	
center	center	sing_446.htm#IDX297	65108
center 		sing_452.htm#SEC505	
centerRed	centerRed	sing_451.htm#SEC504	59910
centerVS	centerVS	sing_450.htm#SEC503	27548
central.lib	central_lib	sing_446.htm#SEC499	
central.lib 		sing_446.htm#IDX295	
central_lib	central_lib	sing_446.htm#SEC499	
central_lib 		sing_446.htm#IDX296	
centralize	central_lib	sing_446.htm#IDX300	
centralizeSet	centralizeSet	sing_447.htm#SEC500	55737
centralizer	centralizer	sing_446.htm#IDX298	65261
centralizer 		sing_453.htm#SEC506	
centralizerRed	centralizerRed	sing_449.htm#SEC502	8209
centralizerVS	centralizerVS	sing_448.htm#SEC501	22925
cgs	cgs	sing_691.htm#SEC768	57776
chaincrit	chaincrit	sing_1477.htm#SEC1554	9502
changechar	changechar	sing_778.htm#SEC855	49849
changeord	changeord	sing_779.htm#SEC856	47708
changes	News and changes	sing_1582.htm#SEC1659	
changevar	changevar	sing_780.htm#SEC857	32829
char	char	sing_170.htm#SEC211	
char_series	char_series	sing_171.htm#SEC212	
characteristic exponents	invariants	sing_1043.htm#IDX402	
characteristic exponents 		sing_1044.htm#IDX407	
characteristic exponents  		sing_1045.htm#IDX410	
characteristic exponents   		sing_1046.htm#IDX414	
characteristic exponents    		sing_1116.htm#IDX477	
charexp2conductor	charexp2conductor	sing_1046.htm#SEC1123	sprintf
charexp2generators	charexp2generators	sing_1044.htm#SEC1121	16838
charexp2inter	charexp2inter	sing_1045.htm#SEC1122	39881
charexp2multseq	charexp2multseq	sing_1043.htm#SEC1120	334
charexp2poly	charexp2poly	sing_1047.htm#SEC1124	sprintf
charpoly	charpoly	sing_835.htm#SEC912	29561
charstr	charstr	sing_172.htm#SEC213	
checkFactor	checkFactor	sing_490.htm#SEC543	60779
checkRoot	checkRoot	sing_477.htm#SEC530	33063
checkRoot1	checkRoot1	sing_488.htm#SEC541	5957
checkRoot2	checkRoot2	sing_489.htm#SEC542	53691
chineseRem	chineseRem	sing_1425.htm#SEC1502	38560
chinrem	chinrem	sing_173.htm#SEC214	
chinrestp	chinrestp	sing_1457.htm#SEC1534	24779
cimonom.lib	cimonom_lib	sing_869.htm#SEC946	
cimonom_lib	cimonom_lib	sing_869.htm#SEC946	
classify	classify	sing_1056.htm#SEC1133	17008
classify.lib	classify_lib	sing_1054.htm#SEC1131	
classify_lib	classify_lib	sing_1054.htm#SEC1131	
cleanTmp	cleanTmp	sing_1574.htm#SEC1651	14108
cleardenom	cleardenom	sing_174.htm#SEC215	
close	close	sing_175.htm#SEC216	
closed_points	closed_points	sing_1348.htm#SEC1425	47269
closetex	closetex	sing_1312.htm#SEC1389	42334
closureFrac	closureFrac	sing_955.htm#SEC1032	9252
codim	codim	sing_1154.htm#SEC1231	14253
coding theory	AG codes	sing_646.htm#SEC699	
coef	coef	sing_176.htm#SEC217	
coefficient field	number	sing_129.htm#SEC170	
coefficient rings, ring of integers, zero divisors, p-adic numbers	Coefficient rings	sing_32.htm#SEC44	
coefficients, long	Long coefficients	sing_605.htm#SEC658	
coeffmod	coeffmod	sing_1400.htm#SEC1477	23531
coeffs	coeffs	sing_177.htm#SEC218	
collectDiv	collectDiv	sing_1009.htm#SEC1086	50348
colrank	colrank	sing_1382.htm#SEC1459	52290
colred	colred	sing_818.htm#SEC895	1693
comma	Usage of commas	sing_349.htm#SEC390	
command-line option, setting value of	system	sing_297.htm#IDX266	
command-line option, value of	system	sing_297.htm#IDX264	
command-line options, print all values of	system	sing_297.htm#IDX263	
command-line options, short help	Command line options	sing_19.htm#IDX108	
commands (plural)	Functions (plural)	sing_390.htm#IDX292	
completeReduction	completeReduction	sing_1228.htm#SEC1305	57157
complex	Rings and orderings	sing_28.htm#IDX145	
compregb.lib	compregb_lib	sing_690.htm#SEC767	
compregb_lib	compregb_lib	sing_690.htm#SEC767	
comprehensive Groebner system	compregb_lib	sing_690.htm#IDX356	
compress	compress	sing_795.htm#SEC872	61998
concat	concat	sing_796.htm#SEC873	16653
conductor	charexp2conductor	sing_1046.htm#IDX413	
conductor, degree	invariants	sing_1116.htm#IDX480	
conicWithTangents	conicWithTangents	sing_1551.htm#SEC1628	23506
contact matrix	charexp2inter	sing_1045.htm#IDX409	
containedQ	containedQ	sing_1300.htm#SEC1377	46718
content	content	sing_740.htm#SEC817	9095
continue	Behavior of continue	sing_317.htm#SEC358	
continue 		sing_351.htm#SEC392	
contract	contract	sing_178.htm#SEC219	
contributors	system	sing_297.htm#IDX253	
control	control	sing_1374.htm#SEC1451	44498
control.lib	control_lib	sing_1373.htm#SEC1450	
controlDim	controlDim	sing_1375.htm#SEC1452	2417
controlExample	controlExample	sing_1387.htm#SEC1464	2678
control_Matrix	control_Matrix	sing_1084.htm#SEC1161	sprintf
control_lib	control_lib	sing_1373.htm#SEC1450	
convloc	convloc	sing_494.htm#SEC547	19122
coordinates	coords	sing_1495.htm#IDX517	
coords	coords	sing_1495.htm#SEC1572	29362
copyright	Preface	sing_1.htm#IDX1	
corank	corank	sing_1057.htm#SEC1134	33709
cornerMonomials	cornerMonomials	sing_962.htm#SEC1039	33995
countPoints	countPoints	sing_1447.htm#SEC1524	58566
crcgs	crcgs	sing_775.htm#SEC852	53348
createBO	createBO	sing_1000.htm#SEC1077	32669
crypto.lib	crypto_lib	sing_1418.htm#SEC1495	
crypto_lib	crypto_lib	sing_1418.htm#SEC1495	
cup	cup	sing_891.htm#SEC968	57972
cupproduct	cupproduct	sing_892.htm#SEC969	62854
curve singularities	hnoether_lib	sing_1036.htm#IDX396	
curve singularities 		sing_1110.htm#IDX475	
curvepar.lib	curvepar_lib	sing_1069.htm#SEC1146	
curvepar_lib	curvepar_lib	sing_1069.htm#SEC1146	
cycleLength	cycleLength	sing_1532.htm#SEC1609	26458
cyclePoints	cyclePoints	sing_1536.htm#SEC1613	63110
cyclic	cyclic	sing_728.htm#SEC805	21375
cyclic code	Codes and the decoding problem	sing_677.htm#SEC737	
cyclotomic	cyclotomic	sing_1193.htm#SEC1270	33749
dbprint	dbprint	sing_179.htm#SEC220	
debugLib, option	option	sing_259.htm#IDX228	
debug_log	debug_log	sing_1067.htm#SEC1144	62043
debugger	Source code debugger	sing_63.htm#SEC101	
debugging library code	Source code debugger	sing_63.htm#SEC101	
dec1var	dec1var	sing_925.htm#SEC1002	36098
decimal	decimal	sing_1419.htm#SEC1496	56066
decode	decode	sing_1365.htm#SEC1442	64330
decodeCode	decodeCode	sing_1367.htm#SEC1444	28262
decodeRandom	decodeRandom	sing_1366.htm#SEC1443	40118
decodeRandomFL	decodeRandomFL	sing_1370.htm#SEC1447	35423
decodeSV	decodeSV	sing_1347.htm#SEC1424	37975
decodegb.lib	decodegb_lib	sing_1352.htm#SEC1429	
decodegb_lib	decodegb_lib	sing_1352.htm#SEC1429	
decoding, decoding problem	Codes and the decoding problem	sing_677.htm#SEC738	
def	def	sing_74.htm#SEC115	
def declarations	def declarations	sing_75.htm#SEC116	
default argument	Parameter list	sing_45.htm#SEC83	
defined	defined	sing_180.htm#SEC221	
deform	deform	sing_1155.htm#SEC1232	5250
deform.lib	deform_lib	sing_1074.htm#SEC1151	
deform_lib	deform_lib	sing_1074.htm#SEC1151	
defring	defring	sing_781.htm#SEC858	1814
defringp	defringp	sing_783.htm#SEC860	42905
defrings	defrings	sing_782.htm#SEC859	1034
deg	deg	sing_181.htm#SEC222	
degBound	degBound	sing_331.htm#SEC372	
degree	Miscellaneous oddities	sing_182.htm#SEC223	
degree 		sing_354.htm#IDX282	
degree lexicographical ordering	Global orderings	sing_652.htm#IDX330	
degree of a polynomial	Miscellaneous oddities	sing_354.htm#IDX286	
degree reverse lexicographical ordering	Global orderings	sing_652.htm#IDX328	
degreepart	degreepart	sing_1252.htm#SEC1329	53036
delete	delete	sing_183.htm#SEC224	
deleteGenerator	deleteGenerator	sing_516.htm#SEC569	53465
deleteSublist	deleteSublist	sing_698.htm#SEC775	20406
delta	delta	sing_1122.htm#SEC1199	56952
delta invariant	delta	sing_957.htm#IDX384	
delta invariant 		sing_1122.htm#IDX485	
delta invariant.	normal	sing_951.htm#IDX383	
deltaLoc	deltaLoc	sing_957.htm#SEC1034	35192
denominator	denominator	sing_742.htm#SEC819	51847
depth	depth	sing_893.htm#SEC970	17777
depthIdeal	depthIdeal	sing_935.htm#SEC1012	54782
derivate	derivate	sing_1225.htm#SEC1302	15409
det	det	sing_184.htm#SEC225	
det_B	det_B	sing_837.htm#SEC914	60143
detadj	detadj	sing_1138.htm#SEC1215	5914
detropicalise	detropicalise	sing_1569.htm#SEC1646	34237
develop	develop	sing_1112.htm#SEC1189	48457
diag	diag	sing_797.htm#SEC874	56759
diag_test	diag_test	sing_833.htm#SEC910	31469
diff	diff	sing_185.htm#SEC226	
dim	dim	sing_186.htm#SEC227	
dimGradedPart	dimGradedPart	sing_1026.htm#SEC1103	11262
dimH	dimH	sing_1025.htm#SEC1102	38534
dim_slocus	dim_slocus	sing_1156.htm#SEC1233	47218
disc	disc	sing_1406.htm#SEC1483	45279
discr	discr	sing_1178.htm#SEC1255	9642
discrepancy	discrepancy	sing_1007.htm#SEC1084	5597
displayCohom	displayCohom	sing_1027.htm#SEC1104	22633
displayHNE	displayHNE	sing_1115.htm#SEC1192	29845
displayInvariants	displayInvariants	sing_1117.htm#SEC1194	13678
displayMultsequence	displayMultsequence	sing_1119.htm#SEC1196	16668
displayTropicalLifting	displayTropicalLifting	sing_1544.htm#SEC1621	28144
div	Miscellaneous oddities	sing_72.htm#SEC113	
div 		sing_84.htm#SEC125	
div  		sing_354.htm#IDX279	
divideUnits	divideUnits	sing_1392.htm#SEC1469	26711
division	division	sing_187.htm#SEC228	
division, pdivi, reduce	pnormalform	sing_769.htm#IDX361	
division, reduce	pdivi	sing_766.htm#IDX358	
divisor	divisor	sing_1460.htm#SEC1537	38158
dmod.lib	dmod_lib	sing_467.htm#SEC520	
dmod.lib 		sing_467.htm#IDX302	
dmod_lib	dmod_lib	sing_467.htm#SEC520	
dmod_lib 		sing_467.htm#IDX303	
dmodapp.lib	dmodapp_lib	sing_498.htm#SEC551	
dmodapp.lib 		sing_498.htm#IDX304	
dmodapp_lib	dmodapp_lib	sing_498.htm#SEC551	
dmodapp_lib 		sing_498.htm#IDX305	
double	double	sing_1465.htm#SEC1542	34697
downloading	Download instructions	sing_1583.htm#SEC1679	
dp, global ordering	Global orderings	sing_652.htm#IDX329	
drawNewtonSubdivision	drawNewtonSubdivision	sing_1547.htm#SEC1624	18504
drawTropicalCurve	drawTropicalCurve	sing_1546.htm#SEC1623	41581
ds, local ordering	Local orderings	sing_653.htm#IDX339	
dsum	dsum	sing_798.htm#SEC875	1303
dualConic	dualConic	sing_1570.htm#SEC1647	31080
dual_code	dual_code	sing_1349.htm#SEC1426	57229
dump	dump	sing_188.htm#SEC229	
ecart	ecart	sing_1468.htm#SEC1545	32475
echo	echo	sing_332.htm#SEC373	
eexgcdN	eexgcdN	sing_1421.htm#SEC1498	53237
egcdMain	egcdMain	sing_1293.htm#SEC1370	25359
eigenvals	eigenvals	sing_845.htm#SEC922	7626
elim	elim	sing_876.htm#SEC953	30059
elim.lib	elim_lib	sing_873.htm#SEC950	
elim1	elim1	sing_877.htm#SEC954	15653
elim2	elim2	sing_878.htm#SEC955	44749
elimRing	elimRing	sing_875.htm#SEC952	12194
elim_lib	elim_lib	sing_873.htm#SEC950	
eliminate	eliminate	sing_189.htm#SEC230	
eliminate (plural)	eliminate (plural)	sing_393.htm#SEC434	
elimlinearpart	elimlinearpart	sing_1253.htm#SEC1330	14251
elimpart	elimpart	sing_1254.htm#SEC1331	10258
elimpartanyr	elimpartanyr	sing_1255.htm#SEC1332	39751
ellipticAdd	ellipticAdd	sing_1443.htm#SEC1520	13279
ellipticAllPoints	ellipticAllPoints	sing_1448.htm#SEC1525	60770
ellipticMult	ellipticMult	sing_1444.htm#SEC1521	1558
ellipticNF	ellipticNF	sing_1539.htm#SEC1616	3056
ellipticNFDB	ellipticNFDB	sing_1540.htm#SEC1617	7965
ellipticRandomCurve	ellipticRandomCurve	sing_1445.htm#SEC1522	36980
ellipticRandomPoint	ellipticRandomPoint	sing_1446.htm#SEC1523	6866
else	if	sing_322.htm#SEC363	
encode	encode	sing_1357.htm#SEC1434	56687
endomorphism filtration	endvfilt	sing_1096.htm#IDX451	
endvfilt	endvfilt	sing_1096.htm#SEC1173	36204
engine	engine	sing_512.htm#SEC565	4183
envelope	envelope	sing_394.htm#SEC435	
environment variable, DISPLAY	The online help system	sing_16.htm#IDX99	
equalJinI	equalJinI	sing_1053.htm#SEC1130	18502
equiRadical	equiRadical	sing_973.htm#SEC1050	8884
equidim	equidim	sing_975.htm#SEC1052	20125
equidimMax	equidimMax	sing_976.htm#SEC1053	49289
equidimMaxEHV	equidimMaxEHV	sing_977.htm#SEC1054	42650
equising.lib	equising_lib	sing_1079.htm#SEC1156	
equising_lib	equising_lib	sing_1079.htm#SEC1156	
equisingular Tjurina number	alexpoly_lib	sing_1036.htm#IDX401	
equisingularity ideal	esIdeal	sing_1081.htm#IDX417	
equisingularity stratum	esStratum	sing_1082.htm#IDX418	
error recovery	The SINGULAR prompt	sing_15.htm#SEC21	
errorInsert	errorInsert	sing_1360.htm#SEC1437	23547
errorRand	errorRand	sing_1361.htm#SEC1438	5727
esIdeal	esIdeal	sing_1081.htm#SEC1158	60477
esStratum	esStratum	sing_1082.htm#SEC1159	3628
eta	eta	sing_1534.htm#SEC1611	1400
euler	euler	sing_1399.htm#SEC1476	26390
eval	eval	sing_190.htm#SEC231	
evaluate_reynolds	evaluate_reynolds	sing_1198.htm#SEC1275	46353
example	example	sing_192.htm#SEC233	
execute	execute	sing_193.htm#SEC234	
exgcdN	exgcdN	sing_1420.htm#SEC1497	23525
exit	quit	sing_326.htm#SEC367	
expo	expo	sing_1411.htm#SEC1488	8833
export	export	sing_319.htm#SEC360	
exportto	exportto	sing_320.htm#SEC361	
expression list	Data types (plural)	sing_68.htm#IDX200	
expression list 		sing_358.htm#IDX289	
extcurve	extcurve	sing_1343.htm#SEC1420	6730
extdevelop	extdevelop	sing_1113.htm#SEC1190	51044
extendring	extendring	sing_784.htm#SEC861	64781
extension of rings	splitring	sing_983.htm#IDX388	
exterior basis	exteriorBasis	sing_824.htm#IDX371	
exterior power	exteriorPower	sing_826.htm#IDX373	
exteriorBasis	exteriorBasis	sing_824.htm#SEC901	sprintf
exteriorPower	exteriorPower	sing_826.htm#SEC903	20173
extgcd	extgcd	sing_194.htm#SEC235	
facGBIdeal	facGBIdeal	sing_963.htm#SEC1040	9924
facstd	facstd	sing_195.htm#SEC236	
factor	facvar	sing_767.htm#IDX359	
factorH	factorH	sing_715.htm#SEC792	24814
factorLenstraECM	factorLenstraECM	sing_1452.htm#SEC1529	54951
factorMain	factorMain	sing_1294.htm#SEC1371	65152
factorial	factorial	sing_699.htm#SEC776	32871
factorization, absolute factorization.	absfact_lib	sing_854.htm#IDX374	
factorize	factorize	sing_196.htm#SEC237	
factory	Preface	sing_1.htm#IDX2	
facvar	facvar	sing_767.htm#SEC844	28207
fan	polymake_lib	sing_1521.htm#IDX522	
fastExpt	fastExpt	sing_1395.htm#SEC1472	43912
fastHC, option	option	sing_259.htm#IDX209	
fastelim	fastelim	sing_1256.htm#SEC1333	7409
fetch	fetch	sing_197.htm#SEC238	
fetch (plural)	fetch (plural)	sing_395.htm#SEC436	
fetchall	fetchall	sing_785.htm#SEC862	58389
fglm	stdfglm	sing_198.htm#SEC239	
fglm 		sing_294.htm#IDX236	
fglm_solve	fglm_solve	sing_1272.htm#SEC1349	51398
fglmquot	fglmquot	sing_199.htm#SEC240	
fibonacci	fibonacci	sing_700.htm#SEC777	24750
field	number	sing_129.htm#SEC170	
file, .singularrc	Startup sequence	sing_20.htm#IDX141	
filecmd	filecmd	sing_200.htm#SEC241	
finalCharts	finalCharts	sing_1328.htm#SEC1405	57151
finalcases	finalcases	sing_772.htm#SEC849	55683
find	find	sing_201.htm#SEC242	
findAuto	findAuto	sing_533.htm#SEC586	56092
findInvo	findInvo	sing_531.htm#SEC584	9975
findInvoDiag	findInvoDiag	sing_532.htm#SEC585	42010
findOrientedBoundary	findOrientedBoundary	sing_1535.htm#SEC1612	24110
findTorsion	findTorsion	sing_1386.htm#SEC1463	29572
findimAlgebra	findimAlgebra	sing_578.htm#SEC631	612
finduni	finduni	sing_202.htm#SEC243	
findvars	findvars	sing_1257.htm#SEC1334	20191
finite field	number	sing_129.htm#SEC170	
finitenessTest	finitenessTest	sing_867.htm#SEC944	40633
finvar.lib	finvar_lib	sing_1186.htm#SEC1263	
finvar_lib	finvar_lib	sing_1186.htm#SEC1263	
first index is 1	First index is 1	sing_353.htm#SEC394	
firstoct	firstoct	sing_1305.htm#SEC1382	11498
fitting	fitting	sing_896.htm#SEC973	20661
fl2poly	fl2poly	sing_514.htm#SEC567	32611
flatten	flatten	sing_799.htm#SEC876	55617
flatteningStrat	flatteningStrat	sing_897.htm#SEC974	15622
for	for	sing_321.htm#SEC362	
fprintf	fprintf	sing_203.htm#SEC244	13662
free associative algebra, tensor algebra	Free associative algebras	sing_426.htm#SEC479	
freeGBasis	freeGBasis	sing_519.htm#SEC572	1642
freegb.lib	freegb_lib	sing_517.htm#SEC570	
freegb.lib 		sing_517.htm#IDX306	
freegb_lib	freegb_lib	sing_517.htm#SEC570	
freegb_lib 		sing_517.htm#IDX307	
freemodule	freemodule	sing_204.htm#SEC245	
freerank	freerank	sing_730.htm#SEC807	52218
frwalk	frwalk	sing_205.htm#SEC246	
furtherInvar	furtherInvar	sing_1230.htm#SEC1307	19209
further_hn_proc	further_hn_proc	sing_1130.htm#SEC1207	63500
fwalk	fwalk	sing_884.htm#SEC961	15070
galois field	number	sing_129.htm#SEC170	
gauss_col	gauss_col	sing_809.htm#SEC886	36252
gauss_nf	gauss_nf	sing_840.htm#SEC917	51060
gauss_row	gauss_row	sing_810.htm#SEC887	58877
gaussred	gaussred	sing_838.htm#SEC915	29001
gaussred_pivot	gaussred_pivot	sing_839.htm#SEC916	25477
gcd	gcd	sing_206.htm#SEC247	
gcdN	gcdN	sing_1422.htm#SEC1499	63954
gcddivisor	gcddivisor	sing_1461.htm#SEC1538	1276
gen	gen	sing_207.htm#SEC248	
genMDSMat	genMDSMat	sing_1363.htm#SEC1440	3347
general error-locator polynomial	Cooper philosophy	sing_678.htm#SEC744	
general weighted lexicographical ordering	Local orderings	sing_653.htm#IDX345	
general weighted reverse lexicographical ordering	Local orderings	sing_653.htm#IDX342	
general.lib	general_lib	sing_693.htm#SEC770	
generalOrder	generalOrder	sing_1486.htm#SEC1563	42536
general_lib	general_lib	sing_693.htm#SEC770	
generateG	generateG	sing_1451.htm#SEC1528	18714
generators	charexp2generators	sing_1044.htm#IDX405	
genericid	genericid	sing_750.htm#SEC827	29731
genericity	genericity	sing_1383.htm#SEC1460	16822
genericmat	genericmat	sing_800.htm#SEC877	35016
genus	genus	sing_953.htm#SEC1030	4162
getdump	getdump	sing_208.htm#SEC249	
getenv	system	sing_297.htm#IDX245	
gkdim.lib	gkdim_lib	sing_536.htm#SEC589	
gkdim.lib 		sing_536.htm#IDX310	
gkdim_lib	gkdim_lib	sing_536.htm#SEC589	
gkdim_lib 		sing_536.htm#IDX311	
gmscoeffs	gmscoeffs	sing_1088.htm#SEC1165	31907
gmsnf	gmsnf	sing_1087.htm#SEC1164	33925
gmspoly.lib	gmspoly_lib	sing_1107.htm#SEC1184	
gmspoly_lib	gmspoly_lib	sing_1107.htm#SEC1184	
gmsring	gmsring	sing_1086.htm#SEC1163	55582
gmssing.lib	gmssing_lib	sing_1085.htm#SEC1162	
gmssing_lib	gmssing_lib	sing_1085.htm#SEC1162	
good basis	goodBasis	sing_1085.htm#IDX428	
good basis 		sing_1095.htm#IDX449	
good basis  		sing_1107.htm#IDX461	
good basis   		sing_1109.htm#IDX472	
goodBasis	goodBasis	sing_1109.htm#SEC1186	37512
graded module, graded piece	dimGradedPart	sing_1026.htm#IDX393	
graded modules, handling of	Handling graded modules	sing_620.htm#SEC673	
graphics.lib	graphics_lib	sing_1307.htm#SEC1384	
graphics_lib	graphics_lib	sing_1307.htm#SEC1384	
graver4ti2	graver4ti2	sing_1031.htm#SEC1108	39635
groebner	groebner and std	sing_209.htm#SEC250	14733
groebner 		sing_612.htm#SEC665	
groebnerFan	groebnerFan	sing_1526.htm#SEC1603	41834
ground field	number	sing_129.htm#SEC170	
group_reynolds	group_reynolds	sing_1194.htm#SEC1271	35079
grwalk.lib	grwalk_lib	sing_883.htm#SEC960	
grwalk_lib	grwalk_lib	sing_883.htm#SEC960	
gwalk	gwalk	sing_889.htm#SEC966	38238
hardware platform	system	sing_297.htm#IDX244	
headStand	headStand	sing_822.htm#SEC899	14413
help	help	sing_210.htm#SEC251	
help browsers	The online help system	sing_16.htm#IDX92	
help browsers, dummy	The online help system	sing_16.htm#IDX95	
help browsers, dummy 		sing_16.htm#IDX97	
help browsers, emacs	The online help system	sing_16.htm#IDX96	
help browsers, html	The online help system	sing_16.htm#IDX93	
help browsers, setting command to use	The online help system	sing_16.htm#IDX100	
help browsers, setting the	system	sing_297.htm#IDX271	
help string of a library	The help string of a library	sing_55.htm#SEC93	
help string of a procedure	The help string of procedures	sing_56.htm#SEC94	
help, accessing over the net	Command line options	sing_19.htm#IDX112	
help, online help system	The online help system	sing_16.htm#SEC22	
hessenberg	hessenberg	sing_844.htm#SEC921	1885
highcorner	highcorner	sing_211.htm#SEC252	
hilb	hilb	sing_212.htm#SEC253	
hilbPoly	hilbPoly	sing_748.htm#SEC825	36118
hilbert4ti2	hilbert4ti2	sing_1030.htm#SEC1107	13993
hilbvec	hilbvec	sing_1258.htm#SEC1335	9204
hnexpansion	hnexpansion	sing_1111.htm#SEC1188	46990
hnoether.lib	hnoether_lib	sing_1110.htm#SEC1187	
hnoether_lib	hnoether_lib	sing_1110.htm#SEC1187	
hom_kernel	hom_kernel	sing_904.htm#SEC981	32604
homog	homog	sing_213.htm#SEC254	
homolog.lib	homolog_lib	sing_890.htm#SEC967	
homolog_lib	homolog_lib	sing_890.htm#SEC967	
homology	homology	sing_899.htm#SEC976	15040
howto, download	Download instructions	sing_1583.htm#SEC1679	
howto, install on Macintosh	Macintosh installation instructions	sing_1586.htm#SEC1689	
howto, install on Unix	Unix installation instructions	sing_1584.htm#SEC1683	
howto, install on Windows	Windows installation instructions	sing_1585.htm#SEC1686	
hres	hres	sing_214.htm#SEC255	
html, default help	The online help system	sing_16.htm#IDX94	
hyperel.lib	hyperel_lib	sing_1454.htm#SEC1531	
hyperel_lib	hyperel_lib	sing_1454.htm#SEC1531	
hypersurface singularity	mondromy_lib	sing_1137.htm#IDX490	
iMult	iMult	sing_956.htm#SEC1033	22059
id2mod	id2mod	sing_744.htm#SEC821	32918
ideal	ideal	sing_76.htm#SEC117	
ideal declarations	ideal declarations	sing_77.htm#SEC118	
ideal declarations (plural)	ideal declarations (plural)	sing_360.htm#SEC401	
ideal expressions	ideal expressions	sing_78.htm#SEC119	
ideal expressions (plural)	ideal expressions (plural)	sing_361.htm#SEC402	
ideal operations	ideal operations	sing_79.htm#SEC120	
ideal operations (plural)	ideal operations (plural)	sing_362.htm#SEC403	
ideal related functions	ideal related functions	sing_80.htm#SEC121	
ideal related functions (plural)	ideal related functions (plural)	sing_363.htm#SEC404	
ideal, toric	Toric ideals	sing_665.htm#SEC723	
idealSplit	idealSplit	sing_1265.htm#SEC1342	4673
ideals	Miscellaneous oddities	sing_354.htm#IDX283	
idealsimplify	idealsimplify	sing_1052.htm#SEC1129	38569
identifier	Identifier resolution	sing_355.htm#SEC396	
if	if	sing_322.htm#SEC363	
image_of_variety	image_of_variety	sing_1222.htm#SEC1299	43711
imap	imap	sing_215.htm#SEC256	
imap (plural)	imap (plural)	sing_396.htm#SEC437	
imapall	imapall	sing_786.htm#SEC863	4854
impart	impart	sing_216.htm#SEC257	
importfrom	importfrom	sing_323.htm#SEC364	
inCenter	inCenter	sing_456.htm#SEC509	22152
inCentralizer	inCentralizer	sing_457.htm#SEC510	49000
inForm	inForm	sing_506.htm#SEC559	8280
inSubring	inSubring	sing_859.htm#SEC936	5728
indSet	indSet	sing_930.htm#SEC1007	32828
indepSet	indepSet	sing_217.htm#SEC258	
indexed names	Names	sing_36.htm#IDX152	
indexed names 		sing_37.htm#SEC64	
info	The online help system	sing_16.htm#SEC23	
info in a library	Format of a library	sing_49.htm#IDX189	
info string of a library	The help string of a library	sing_55.htm#SEC93	
init_debug	init_debug	sing_1059.htm#SEC1136	29863
initialForm	initialForm	sing_1556.htm#SEC1633	57793
initialIdeal	initialIdeal	sing_1557.htm#SEC1634	22205
initialIdealW	initialIdealW	sing_505.htm#SEC558	31696
initialMalgrange	initialMalgrange	sing_504.htm#SEC557	2166
inout.lib	inout_lib	sing_716.htm#SEC793	
inout_lib	inout_lib	sing_716.htm#SEC793	
input	Input and output	sing_41.htm#SEC70	
insert	insert	sing_218.htm#SEC259	
insertGenerator	insertGenerator	sing_515.htm#SEC568	58067
instructions, Macintosh installation	Macintosh installation instructions	sing_1586.htm#SEC1689	
instructions, Unix installation	Unix installation instructions	sing_1584.htm#SEC1683	
instructions, Windows installation	Windows installation instructions	sing_1585.htm#SEC1686	
instructions, downloading	Download instructions	sing_1583.htm#SEC1679	
int	int	sing_81.htm#SEC122	
int declarations	int declarations	sing_82.htm#SEC123	
int expressions	int expressions	sing_83.htm#SEC124	
int operations	int operations	sing_84.htm#SEC125	
int related functions	int related functions	sing_85.htm#SEC126	
intPart	intPart	sing_1429.htm#SEC1506	48360
intRoot	intRoot	sing_1430.htm#SEC1507	54582
intStrategy, option	option	sing_259.htm#IDX210	
integer division	Miscellaneous oddities	sing_354.htm#IDX278	
integer programming	Integer programming	sing_673.htm#SEC731	
integral closure	normal	sing_951.htm#IDX382	
interface, Emacs	Emacs user interface	sing_21.htm#SEC28	
internalfunctions	internalfunctions	sing_1060.htm#SEC1137	61230
interpolate	interpolate	sing_1271.htm#SEC1348	51502
interpolation	interpolation	sing_219.htm#SEC260	
interred	interred	sing_220.htm#SEC261	
intersect	intersect	sing_221.htm#SEC262	
intersect (plural)	intersect (plural)	sing_397.htm#SEC438	
intersection	intersection	sing_1120.htm#SEC1197	46938
intersection multiplicity	intersection	sing_1045.htm#IDX411	
intersection multiplicity 		sing_1120.htm#IDX483	
intersectionDiv	intersectionDiv	sing_1005.htm#SEC1082	29017
intmat	intmat	sing_88.htm#SEC129	
intmat declarations	intmat declarations	sing_89.htm#SEC130	
intmat expressions	intmat expressions	sing_90.htm#SEC131	
intmat operations	intmat operations	sing_92.htm#SEC133	
intmat related functions	intmat related functions	sing_93.htm#SEC134	
intmat type cast	intmat type cast	sing_91.htm#SEC132	
intmatToPolymake	intmatToPolymake	sing_1527.htm#SEC1604	7182
intprog.lib	intprog_lib	sing_910.htm#SEC987	
intprog_lib	intprog_lib	sing_910.htm#SEC987	
intvec	intvec	sing_94.htm#SEC135	
intvec declarations	intvec declarations	sing_95.htm#SEC136	
intvec expressions	intvec expressions	sing_96.htm#SEC137	
intvec operations	intvec operations	sing_97.htm#SEC138	
intvec related functions	intvec related functions	sing_98.htm#SEC139	
invariant ring minimal generating set matrix group	invariant_algebra_reynolds	sing_1191.htm#IDX496	
invariant ring minimal generating set permutation group	invariant_algebra_perm	sing_1192.htm#IDX497	
invariantRing	invariantRing	sing_1224.htm#SEC1301	18582
invariant_algebra_perm	invariant_algebra_perm	sing_1192.htm#SEC1269	63525
invariant_algebra_reynolds	invariant_algebra_reynolds	sing_1191.htm#SEC1268	35705
invariant_basis	invariant_basis	sing_1199.htm#SEC1276	18343
invariant_basis_reynolds	invariant_basis_reynolds	sing_1200.htm#SEC1277	54788
invariant_ring	invariant_ring	sing_1187.htm#SEC1264	8059
invariant_ring_random	invariant_ring_random	sing_1188.htm#SEC1265	6986
invariants	invariants	sing_1116.htm#SEC1193	57499
inverse	inverse	sing_828.htm#SEC905	27411
inverse_B	inverse_B	sing_829.htm#SEC906	17616
inverse_L	inverse_L	sing_830.htm#SEC907	49271
invertNumberMain	invertNumberMain	sing_1295.htm#SEC1372	62615
involut.lib	involut_lib	sing_530.htm#SEC583	
involut.lib 		sing_530.htm#IDX308	
involut_lib	involut_lib	sing_530.htm#SEC583	
involut_lib 		sing_530.htm#IDX309	
involution	involution	sing_535.htm#SEC588	4213
invunit	invunit	sing_1139.htm#SEC1216	62398
iostruct	iostruct	sing_1385.htm#SEC1462	60444
irred_secondary_char0	irred_secondary_char0	sing_1213.htm#SEC1290	2943
irred_secondary_no_molien	irred_secondary_no_molien	sing_1216.htm#SEC1293	55905
irreducible power series	is_irred	sing_1121.htm#IDX484	
irreducible secondary invariant	irred_secondary_char0	sing_1213.htm#IDX498	
isCM	isCM	sing_900.htm#SEC977	50469
isCMcod2	isCMcod2	sing_1174.htm#SEC1251	2563
isCartan	isCartan	sing_458.htm#SEC511	39541
isCentral	isCentral	sing_583.htm#SEC636	54650
isCommutative	isCommutative	sing_585.htm#SEC638	60728
isEquising	isEquising	sing_1083.htm#SEC1160	1424
isFlat	isFlat	sing_901.htm#SEC978	14706
isFsat	isFsat	sing_507.htm#SEC560	49578
isHolonomic	isHolonomic	sing_493.htm#SEC546	23650
isLocallyFree	isLocallyFree	sing_902.htm#SEC979	46389
isNC	isNC	sing_584.htm#SEC637	57151
isOnCurve	isOnCurve	sing_1442.htm#SEC1519	36324
isRational	isRational	sing_497.htm#SEC550	10732
isReg	isReg	sing_903.htm#SEC980	40920
isTame	isTame	sing_1108.htm#SEC1185	42180
isVar	isVar	sing_528.htm#SEC581	21360
isWeyl	isWeyl	sing_586.htm#SEC639	28994
is_NND	is_NND	sing_1124.htm#SEC1201	26564
is_NP	is_NP	sing_939.htm#SEC1016	43891
is_active	is_active	sing_1157.htm#SEC1234	6867
is_bijective	is_bijective	sing_864.htm#SEC941	49512
is_ci	is_ci	sing_1158.htm#SEC1235	35370
is_complex	is_complex	sing_801.htm#SEC878	1234
is_injective	is_injective	sing_862.htm#SEC939	13127
is_irred	is_irred	sing_1121.htm#SEC1198	51150
is_is	is_is	sing_1159.htm#SEC1236	64105
is_nested	is_nested	sing_940.htm#SEC1017	9200
is_reg	is_reg	sing_1160.htm#SEC1237	18146
is_regs	is_regs	sing_1161.htm#SEC1238	50242
is_surjective	is_surjective	sing_863.htm#SEC940	57044
is_zero	is_zero	sing_731.htm#SEC808	24341
ishyper	ishyper	sing_1455.htm#SEC1532	65518
isoncurve	isoncurve	sing_1456.htm#SEC1533	16384
isparam	isparam	sing_1519.htm#SEC1596	56395
isuni	isuni	sing_1504.htm#SEC1581	39427
jInvariant	jInvariant	sing_1550.htm#SEC1627	37364
jOft	jOft	sing_1412.htm#SEC1489	25716
jacob	jacob	sing_222.htm#SEC263	
jacoblift	jacoblift	sing_1140.htm#SEC1217	40125
jacobson	jacobson	sing_1391.htm#SEC1468	56107
jacobson.lib	jacobson_lib	sing_1389.htm#SEC1466	
jacobson_lib	jacobson_lib	sing_1389.htm#SEC1466	
janet	janet	sing_223.htm#SEC264	
jet	jet	sing_224.htm#SEC265	
jordan	jordan	sing_849.htm#SEC926	16602
jordanbasis	jordanbasis	sing_850.htm#SEC927	12736
jordanmatrix	jordanmatrix	sing_851.htm#SEC928	2886
jordannf	jordannf	sing_852.htm#SEC929	20535
katsura	katsura	sing_729.htm#SEC806	45913
kbase	kbase	sing_225.htm#SEC266	
kbase (plural)	kbase (plural)	sing_398.htm#SEC439	
keepring	keepring	sing_324.htm#SEC365	
kernel	kernel	sing_226.htm#SEC267	
kill	kill	sing_227.htm#SEC268	
killall	killall	sing_702.htm#SEC779	34661
killattrib	killattrib	sing_228.htm#SEC269	
kmemory	kmemory	sing_701.htm#SEC778	52193
kohom	kohom	sing_905.htm#SEC982	50086
kontrahom	kontrahom	sing_906.htm#SEC983	58549
koszul	koszul	sing_229.htm#SEC270	
kskernel.lib	kskernel_lib	sing_1131.htm#SEC1208	
kskernel_lib	kskernel_lib	sing_1131.htm#SEC1208	
laguerre	laguerre	sing_230.htm#SEC271	
laguerre_solve	laguerre_solve	sing_1267.htm#SEC1344	10155
lastvarGeneral	lastvarGeneral	sing_1485.htm#SEC1562	28645
latex.lib	latex_lib	sing_1311.htm#SEC1388	
latex_lib	latex_lib	sing_1311.htm#SEC1388	
latticeArea	latticeArea	sing_1537.htm#SEC1614	2068
lazy, option	option	sing_259.htm#IDX211	
lcm	lcm	sing_732.htm#SEC809	44755
lcmN	lcmN	sing_1423.htm#SEC1500	52355
lead	lead	sing_231.htm#SEC272	
leadcoef	leadcoef	sing_232.htm#SEC273	
leadexp	leadexp	sing_233.htm#SEC274	
leadmonom	leadmonom	sing_234.htm#SEC275	
leadmonomial	leadmonomial	sing_1471.htm#SEC1548	8195
leftInverse	leftInverse	sing_1380.htm#SEC1457	41469
leftKernel	leftKernel	sing_1378.htm#SEC1455	9292
length, option	option	sing_259.htm#IDX212	
letterplace correspondence	Letterplace correspondence	sing_428.htm#SEC481	
lex_solve	lex_solve	sing_1273.htm#SEC1350	48692
lexicographical ordering	Global orderings	sing_652.htm#IDX325	
lib2doc	lib2doc	sing_53.htm#SEC91	
libfac	Preface	sing_1.htm#IDX7	
libparse	libparse	sing_66.htm#SEC107	
library, Guidelines for writing	Guidelines for writing a library	sing_50.htm#SEC88	
library, documentation	Documentation of a library	sing_52.htm#SEC90	
library, help string	The help string of a library	sing_55.htm#SEC93	
library, info string	template_lib	sing_55.htm#SEC93	
library, info string 		sing_57.htm#IDX196	
library, procedures	Procedures in a library	sing_51.htm#SEC89	
library, template	template_lib	sing_57.htm#SEC95	
library, template.lib	template_lib	sing_57.htm#IDX194	
library, typesetting of help strings	Typesetting of help strings	sing_54.htm#SEC92	
lieBracket	lieBracket	sing_526.htm#SEC579	32736
lift	lift	sing_236.htm#SEC277	
lift (plural)	lift (plural)	sing_399.htm#SEC440	
lift_kbase	lift_kbase	sing_1077.htm#SEC1154	10906
lift_rel_kb	lift_rel_kb	sing_1078.htm#SEC1155	13673
liftstd	liftstd	sing_237.htm#SEC278	
liftstd (plural)	liftstd (plural)	sing_400.htm#SEC441	
linReduce	linReduce	sing_440.htm#SEC493	64913
linReduceIdeal	linReduceIdeal	sing_441.htm#SEC494	19076
linSyzSolve	linSyzSolve	sing_442.htm#SEC495	26185
linalg.lib	linalg_lib	sing_827.htm#SEC904	
linalg_lib	linalg_lib	sing_827.htm#SEC904	
linear code, dual	dual_code	sing_1349.htm#IDX509	
linear code, systematic	sys_code	sing_1350.htm#IDX510	
linearCombinations	linearCombinations	sing_461.htm#SEC514	20514
linearMapKernel	linearMapKernel	sing_460.htm#SEC513	43761
linear_relations	linear_relations	sing_819.htm#SEC896	45983
linearpart	linearpart	sing_1259.htm#SEC1336	2162
link	Parallelization with MPtcp links	sing_99.htm#SEC140	
link 		sing_609.htm#SEC662	
link declarations	link declarations	sing_100.htm#SEC141	
link expressions	link expressions	sing_101.htm#SEC142	
link related functions	link related functions	sing_102.htm#SEC143	
list	list	sing_108.htm#SEC149	
list declarations	list declarations	sing_109.htm#SEC150	
list expressions	list expressions	sing_110.htm#SEC151	
list operations	list operations	sing_111.htm#SEC152	
list related functions	list related functions	sing_112.htm#SEC153	
listvar	listvar	sing_238.htm#SEC279	
lll.lib	lll_lib	sing_912.htm#SEC989	
lll_lib	lll_lib	sing_912.htm#SEC989	
load	load	sing_325.htm#SEC366	
loadLib, option	option	sing_259.htm#IDX227	
loadProc, option	option	sing_259.htm#IDX229	
locAtZero	locAtZero	sing_958.htm#SEC1035	5687
local names	Names in procedures	sing_44.htm#SEC82	
local rings, computing in	Rings associated to monomial orderings	sing_604.htm#SEC657	
local weighted lexicographical ordering	Local orderings	sing_653.htm#IDX346	
local weighted reverse lexicographical ordering	Local orderings	sing_653.htm#IDX343	
localInvar	localInvar	sing_1229.htm#SEC1306	38478
localization	Rings associated to monomial orderings	sing_604.htm#SEC657	
localstd	localstd	sing_1481.htm#SEC1558	25562
locstd	locstd	sing_1162.htm#SEC1239	25864
log2	log2	sing_1396.htm#SEC1473	40703
lp, global ordering	Global orderings	sing_652.htm#IDX324	
lp2lstr	lp2lstr	sing_522.htm#SEC575	24713
lpMult	lpMult	sing_521.htm#SEC574	58898
lprint	lprint	sing_718.htm#SEC795	5285
lres	lres	sing_239.htm#SEC280	
ls, local ordering	Local orderings	sing_653.htm#IDX337	
lst2str	lst2str	sing_523.htm#SEC576	10088
makeHeisenberg	makeHeisenberg	sing_576.htm#SEC629	2050
makeLetterplaceRing	makeLetterplaceRing	sing_518.htm#SEC571	53638
makeModElimRing	makeModElimRing	sing_591.htm#SEC644	30412
makeQsl2	makeQsl2	sing_561.htm#SEC614	3997
makeQsl3	makeQsl3	sing_562.htm#SEC615	41249
makeQso3	makeQso3	sing_560.htm#SEC613	58910
makeUe6	makeUe6	sing_557.htm#SEC610	58585
makeUe7	makeUe7	sing_558.htm#SEC611	61849
makeUe8	makeUe8	sing_559.htm#SEC612	64987
makeUf4	makeUf4	sing_556.htm#SEC609	8408
makeUg2	makeUg2	sing_555.htm#SEC608	34512
makeUgl	makeUgl	sing_541.htm#SEC594	3543
makeUsl	makeUsl	sing_540.htm#SEC593	24536
makeUsl2	makeUsl2	sing_539.htm#SEC592	42637
makeUso10	makeUso10	sing_547.htm#SEC600	6936
makeUso11	makeUso11	sing_548.htm#SEC601	35873
makeUso12	makeUso12	sing_549.htm#SEC602	19319
makeUso5	makeUso5	sing_542.htm#SEC595	34378
makeUso6	makeUso6	sing_543.htm#SEC596	65009
makeUso7	makeUso7	sing_544.htm#SEC597	49142
makeUso8	makeUso8	sing_545.htm#SEC598	33275
makeUso9	makeUso9	sing_546.htm#SEC599	16896
makeUsp1	makeUsp1	sing_550.htm#SEC603	44522
makeUsp2	makeUsp2	sing_551.htm#SEC604	18017
makeUsp3	makeUsp3	sing_552.htm#SEC605	57445
makeUsp4	makeUsp4	sing_553.htm#SEC606	51690
makeUsp5	makeUsp5	sing_554.htm#SEC607	35951
makeWeyl	makeWeyl	sing_575.htm#SEC628	8554
map	map	sing_113.htm#SEC154	
map (plural)	map (plural)	sing_364.htm#SEC405	
map declarations	map declarations	sing_114.htm#SEC155	
map declarations (plural)	map declarations (plural)	sing_365.htm#SEC406	
map expressions	map expressions	sing_115.htm#SEC156	
map expressions (plural)	map expressions (plural)	sing_366.htm#SEC407	
map operations	map operations	sing_116.htm#IDX201	
map operations (plural)	map operations (plural)	sing_367.htm#IDX290	
map related functions	map related functions	sing_117.htm#IDX202	
map related functions  (plural)	map related functions (plural)	sing_368.htm#IDX291	
mapIsFinite	mapIsFinite	sing_866.htm#SEC943	60897
mapall	mapall	sing_787.htm#SEC864	41330
markov4ti2	markov4ti2	sing_1029.htm#SEC1106	9163
mat_rk	mat_rk	sing_841.htm#SEC918	32196
matbil	matbil	sing_1492.htm#SEC1569	1611
mathematical objects	Representation of mathematical objects	sing_648.htm#SEC701	
mathinit	mathinit	sing_1309.htm#SEC1386	16793
matmult	matmult	sing_1493.htm#SEC1570	60088
matrix	matrix	sing_118.htm#SEC159	
matrix declarations	matrix declarations	sing_119.htm#SEC160	
matrix expressions	matrix expressions	sing_120.htm#SEC161	
matrix operations	matrix operations	sing_122.htm#SEC163	
matrix related functions	matrix related functions	sing_123.htm#SEC164	
matrix type cast	matrix type cast	sing_121.htm#SEC162	
matrix.lib	matrix_lib	sing_794.htm#SEC871	
matrixT1	matrixT1	sing_1176.htm#SEC1253	15051
matrix_lib	matrix_lib	sing_794.htm#SEC871	
maxabs	maxabs	sing_1511.htm#SEC1588	64510
maxcoef	maxcoef	sing_733.htm#SEC810	50577
maxdeg	maxdeg	sing_734.htm#SEC811	39794
maxdeg1	maxdeg1	sing_735.htm#SEC812	21545
maxideal	maxideal	sing_240.htm#SEC281	
maximum	maximum	sing_1409.htm#SEC1486	2355
mdouble	mdouble	sing_58.htm#SEC96	63216
mem, option	option	sing_259.htm#IDX230	
memberpos	memberpos	sing_764.htm#SEC841	15764
memory	memory	sing_241.htm#SEC282	
memory managment	memory	sing_241.htm#SEC282	
milnor	milnor	sing_1163.htm#SEC1240	23173
milnorcode	milnorcode	sing_1061.htm#SEC1138	13849
minAssChar	minAssChar	sing_969.htm#SEC1046	50088
minAssGTZ	minAssGTZ	sing_968.htm#SEC1045	6194
minEcart	minEcart	sing_1474.htm#SEC1551	34890
minIntRoot	minIntRoot	sing_495.htm#SEC548	3288
minbase	minbase	sing_242.htm#SEC283	
mindeg	mindeg	sing_736.htm#SEC813	16307
mindeg1	mindeg1	sing_737.htm#SEC814	39698
mindist	mindist	sing_1364.htm#SEC1441	15194
minimal display time, setting the	system	sing_297.htm#IDX273	
minipoly	minipoly	sing_846.htm#SEC923	4927
minor	minor	sing_243.htm#SEC284	
minpoly	minpoly	sing_333.htm#SEC374	
minres	minres	sing_244.htm#SEC285	
minres (plural)	minres (plural)	sing_401.htm#SEC442	
mixed Hodge structure	goodBasis	sing_1085.htm#IDX422	
mixed Hodge structure 		sing_1091.htm#IDX433	
mixed Hodge structure  		sing_1092.htm#IDX436	
mixed Hodge structure   		sing_1093.htm#IDX441	
mixed Hodge structure    		sing_1094.htm#IDX444	
mixed Hodge structure     		sing_1107.htm#IDX455	
mixed Hodge structure      		sing_1109.htm#IDX466	
mod	number operations	sing_72.htm#SEC113	
mod 		sing_84.htm#SEC125	
mod  		sing_132.htm#SEC173	
mod2id	mod2id	sing_743.htm#SEC820	27927
mod2str	mod2str	sing_524.htm#SEC577	35236
modDec	modDec	sing_922.htm#SEC999	48578
modNPos	modNPos	sing_945.htm#SEC1022	17130
modNpos_test	modNpos_test	sing_943.htm#SEC1020	34326
modS	modS	sing_916.htm#SEC993	30873
modStd	modStd	sing_915.htm#SEC992	58071
mod_versal	mod_versal	sing_1076.htm#SEC1153	63927
modregCM	modregCM	sing_949.htm#SEC1026	5049
modsatiety	modsatiety	sing_947.htm#SEC1024	44506
modstd.lib	modstd_lib	sing_914.htm#SEC991	
modstd_lib	modstd_lib	sing_914.htm#SEC991	
module	module	sing_124.htm#SEC165	
module (plural)	module (plural)	sing_369.htm#SEC410	
module declarations	module declarations	sing_125.htm#SEC166	
module declarations (plural)	module declarations (plural)	sing_370.htm#SEC411	
module expressions	module expressions	sing_126.htm#SEC167	
module expressions (plural)	module expressions (plural)	sing_371.htm#SEC412	
module operations	module operations	sing_127.htm#SEC168	
module operations (plural)	module operations (plural)	sing_372.htm#SEC413	
module ordering C	Module orderings	sing_654.htm#IDX349	
module ordering c	Module orderings	sing_654.htm#IDX351	
module related functions	module related functions	sing_128.htm#SEC169	
module related functions (plural)	module related functions (plural)	sing_373.htm#SEC414	
module_containment	module_containment	sing_858.htm#SEC935	31620
modulo	modulo	sing_245.htm#SEC286	
modulo (plural)	modulo (plural)	sing_402.htm#SEC443	
moduloSlim	moduloSlim	sing_581.htm#SEC634	52636
molien	molien	sing_1195.htm#SEC1272	63561
mondromy.lib	mondromy_lib	sing_1137.htm#SEC1214	
mondromy_lib	mondromy_lib	sing_1137.htm#SEC1214	
monitor	monitor	sing_246.htm#SEC287	
monodromy	goodBasis	sing_1085.htm#IDX425	43893
monodromy 		sing_1090.htm#SEC1167	
monodromy  		sing_1090.htm#IDX432	
monodromy   		sing_1107.htm#IDX458	
monodromy    		sing_1109.htm#IDX469	
monodromyB	monodromyB	sing_1141.htm#SEC1218	46517
monomial orderings	Rings associated to monomial orderings	sing_604.htm#SEC657	
monomial orderings 		sing_651.htm#SEC704	
monomial orderings introduction	Introduction to orderings	sing_650.htm#SEC703	
monomialLcm	monomialLcm	sing_1472.htm#SEC1549	36233
monomials and precedence	Miscellaneous oddities	sing_354.htm#IDX280	
morsesplit	morsesplit	sing_1062.htm#SEC1139	3417
mp_res_mat	mp_res_mat	sing_1270.htm#SEC1347	44453
mplot	mplot	sing_1310.htm#SEC1387	21740
mpresmat	mpresmat	sing_247.htm#SEC288	
mprimdec.lib	mprimdec_lib	sing_918.htm#SEC995	
mprimdec_lib	mprimdec_lib	sing_918.htm#SEC995	
mrcgs	mrcgs	sing_773.htm#SEC850	2281
mrcgs, rcgs, buildtree, cantreetoMaple, cantodiffcgs	crcgs	sing_775.htm#IDX367	
mrcgs, rcgs, crcgs, Maple	cantodiffcgs	sing_776.htm#IDX368	
mregular.lib	mregular_lib	sing_933.htm#SEC1010	
mregular_lib	mregular_lib	sing_933.htm#SEC1010	
mres	mres	sing_248.htm#SEC289	
mres (plural)	mres (plural)	sing_403.htm#SEC444	
mstd	mstd	sing_249.htm#SEC290	
msum	msum	sing_60.htm#SEC98	37953
mtripple	mtripple	sing_59.htm#SEC97	30800
mult	Miscellaneous oddities	sing_250.htm#SEC291	
mult 		sing_354.htm#IDX281	
multBound	multBound	sing_334.htm#SEC375	
multcol	multcol	sing_813.htm#SEC890	14330
multi	multi	sing_1459.htm#SEC1536	18473
multi indices	Names	sing_37.htm#SEC64	
multiplicities, sequence of	invariants	sing_1116.htm#IDX481	
multiplicity sequence	multsequence	sing_1043.htm#IDX403	
multiplicity sequence 		sing_1046.htm#IDX415	
multiplicity sequence  		sing_1118.htm#IDX482	
multrow	multrow	sing_814.htm#SEC891	871
multseq2charexp	multseq2charexp	sing_1042.htm#SEC1119	sprintf
multsequence	multsequence	sing_1118.htm#SEC1195	35117
nameof	nameof	sing_251.htm#SEC292	
names	names	sing_252.htm#SEC293	
nashmult	nashmult	sing_1050.htm#SEC1127	8491
nblocks	system	sing_297.htm#IDX256	
ncRelations	ncRelations	sing_582.htm#SEC635	7225
nc_algebra	nc_algebra	sing_404.htm#SEC445	
ncalg.lib	ncalg_lib	sing_538.htm#SEC591	
ncalg.lib 		sing_538.htm#IDX312	
ncalg_lib	ncalg_lib	sing_538.htm#SEC591	
ncalg_lib 		sing_538.htm#IDX313	
ncalgebra	ncalgebra	sing_405.htm#SEC446	
ncdecomp.lib	ncdecomp_lib	sing_565.htm#SEC618	
ncdecomp.lib 		sing_565.htm#IDX314	
ncdecomp_lib	ncdecomp_lib	sing_565.htm#SEC618	
ncdecomp_lib 		sing_565.htm#IDX315	
ncdetection	ncdetection	sing_534.htm#SEC587	24994
ncols	ncols	sing_253.htm#SEC294	
nctools.lib	nctools_lib	sing_570.htm#SEC623	
nctools.lib 		sing_570.htm#IDX316	
nctools_lib	nctools_lib	sing_570.htm#SEC623	
nctools_lib 		sing_570.htm#IDX317	
ndcond	ndcond	sing_573.htm#SEC626	1006
negative degree lexicographical ordering	Local orderings	sing_653.htm#IDX340	
negative degree reverse lexicographical ordering	Local orderings	sing_653.htm#IDX338	
negative lexicographical ordering	Local orderings	sing_653.htm#IDX336	
net access	Command line options	sing_19.htm#IDX110	
newTest	newTest	sing_1404.htm#SEC1481	36655
newline	string	sing_154.htm#SEC195	
news	News and changes	sing_1582.htm#SEC1659	
newtonDiag	newtonDiag	sing_747.htm#SEC824	56652
newtonPolytope	newtonPolytope	sing_1523.htm#SEC1600	63019
newtonPolytopeLP	newtonPolytopeLP	sing_1524.htm#SEC1601	12201
newtonpoly	newtonpoly	sing_1123.htm#SEC1200	31930
nf_icis	nf_icis	sing_1164.htm#SEC1241	49093
noether	noether	sing_335.htm#SEC376	
noether.lib	noether_lib	sing_941.htm#SEC1018	
noetherNormal	noetherNormal	sing_865.htm#SEC942	26007
noether_lib	noether_lib	sing_941.htm#SEC1018	
non-english special characters	Limitations	sing_343.htm#IDX276	
nonMonomials	nonMonomials	sing_961.htm#SEC1038	16309
nonZeroEntry	nonZeroEntry	sing_868.htm#SEC945	933
none, option	option	sing_259.htm#IDX207	
norTest	norTest	sing_959.htm#SEC1036	sprintf
norm	norm	sing_1458.htm#SEC1535	31143
normal	normal	sing_951.htm#SEC1028	62868
normal.lib	normal_lib	sing_950.htm#SEC1027	
normalFan	normalFan	sing_1525.htm#SEC1602	59351
normalI	normalI	sing_990.htm#SEC1067	7663
normal_lib	normal_lib	sing_950.htm#SEC1027	
normalform	normalform	sing_1066.htm#SEC1143	5550
normalization	normal	sing_951.htm#IDX381	
normalize	normalize	sing_738.htm#SEC815	44788
not	boolean operations	sing_87.htm#SEC128	
notBuckets, option	option	sing_259.htm#IDX215	
notRegularity, option	option	sing_259.htm#IDX213	
notSugar, option	option	sing_259.htm#IDX214	
npars	npars	sing_254.htm#SEC295	
nrRootsDeterm	nrRootsDeterm	sing_1489.htm#SEC1566	sprintf
nrRootsProbab	nrRootsProbab	sing_1488.htm#SEC1565	sprintf
nres	nres	sing_255.htm#SEC296	
nres (plural)	nres (plural)	sing_406.htm#SEC447	
nrows	nrows	sing_256.htm#SEC297	
nrroots	nrroots	sing_1518.htm#SEC1595	54867
nsatiety	nsatiety	sing_946.htm#SEC1023	53333
nselect	nselect	sing_879.htm#SEC956	34057
nt_solve	nt_solve	sing_1285.htm#SEC1362	33061
ntsolve.lib	ntsolve_lib	sing_1284.htm#SEC1361	
ntsolve_lib	ntsolve_lib	sing_1284.htm#SEC1361	
number	number	sing_129.htm#SEC170	
number declarations	number declarations	sing_130.htm#SEC171	
number expressions	number expressions	sing_131.htm#SEC172	
number operations	number operations	sing_132.htm#SEC173	
number related functions	number related functions	sing_133.htm#SEC174	
number_e	number_e	sing_703.htm#SEC780	59152
number_pi	number_pi	sing_704.htm#SEC781	15492
numerator	numerator	sing_741.htm#SEC818	27025
nvars	nvars	sing_257.htm#SEC298	
oldStd, option	option	sing_259.htm#IDX216	
online help	The online help system	sing_16.htm#SEC22	
open	open	sing_258.htm#SEC299	
opentex	opentex	sing_1313.htm#SEC1390	54236
operatorBM	operatorBM	sing_473.htm#SEC526	4459
operatorModulo	operatorModulo	sing_474.htm#SEC527	2619
oppose	oppose	sing_407.htm#SEC448	
opposite	opposite	sing_408.htm#SEC449	
option	option	sing_259.htm#SEC300	
or	Evaluation of logical expressions	sing_87.htm#SEC128	
or 		sing_347.htm#SEC388	
orbit_variety	orbit_variety	sing_1219.htm#SEC1296	22665
ord	ord	sing_260.htm#SEC301	
ord_test	ord_test	sing_788.htm#SEC865	57202
orderings	General definitions for orderings	sing_651.htm#SEC704	
orderings introduction	Introduction to orderings	sing_650.htm#SEC703	
orderings, M	Matrix orderings	sing_655.htm#SEC708	
orderings, a	Extra weight vector	sing_657.htm#SEC710	
orderings, global	Global orderings	sing_652.htm#SEC705	
orderings, local	Local orderings	sing_653.htm#SEC706	
orderings, product	Product orderings	sing_656.htm#SEC709	
ordstr	ordstr	sing_261.htm#SEC302	
orthogonalize	orthogonalize	sing_832.htm#SEC909	63711
outer	outer	sing_802.htm#SEC879	64048
output	Input and output	sing_41.htm#SEC70	
p-adic numbers, l-adic numbers, projective limes	Coefficient rings	sing_32.htm#SEC45	
pFactor	pFactor	sing_1440.htm#SEC1517	33542
pIntersect	pIntersect	sing_438.htm#SEC491	44055
pIntersectSyz	pIntersectSyz	sing_439.htm#SEC492	28446
package	package	sing_134.htm#SEC175	
package declarations	package declarations	sing_135.htm#SEC176	
package related functions	package related functions	sing_136.htm#SEC177	
pairset	pairset	sing_1478.htm#SEC1555	38258
par	par	sing_262.htm#SEC303	
par2varRing	par2varRing	sing_687.htm#SEC764	44769
param	param	sing_1114.htm#SEC1191	57220
parameter, as numbers	number	sing_129.htm#SEC170	
parameterSubstitute	parameterSubstitute	sing_1571.htm#SEC1648	38314
parametrization	param	sing_1114.htm#IDX476	
pardeg	pardeg	sing_263.htm#SEC304	
parstr	parstr	sing_264.htm#SEC305	
partial_molien	partial_molien	sing_1197.htm#SEC1274	21772
path	Loading a library	sing_48.htm#SEC86	
pause	pause	sing_726.htm#SEC803	2273
pdivi	pdivi	sing_766.htm#SEC843	19679
permcol	permcol	sing_815.htm#SEC892	12886
permrow	permrow	sing_816.htm#SEC893	26561
permute_L	permute_L	sing_1351.htm#SEC1428	10716
perron	perron	sing_593.htm#SEC646	3782
perron.lib	perron_lib	sing_592.htm#SEC645	
perron.lib 		sing_592.htm#IDX318	
perron_lib	perron_lib	sing_592.htm#SEC645	
perron_lib 		sing_592.htm#IDX319	
phindex.lib	phindex_lib	sing_1576.htm#IDX532	
phindex_lib	phindex_lib	sing_1576.htm#SEC1653	
phindex_lib 		sing_1576.htm#IDX533	
picksFormula	picksFormula	sing_1538.htm#SEC1615	53613
pid	system	sing_297.htm#IDX240	
plot	plot	sing_1330.htm#SEC1407	51767
plotRot	plotRot	sing_1333.htm#SEC1410	57150
plotRotated	plotRotated	sing_1332.htm#SEC1409	33009
plotRotatedDirect	plotRotatedDirect	sing_1335.htm#SEC1412	18202
plotRotatedList	plotRotatedList	sing_1334.htm#SEC1411	41668
plotRotatedListFromSpecifyList	plotRotatedListFromSpecifyList	sing_1336.htm#SEC1413	38856
pmat	pmat	sing_719.htm#SEC796	3857
pnormalform	pnormalform	sing_769.htm#SEC846	6751
pointid.lib	pointid_lib	sing_960.htm#SEC1037	
pointid_lib	pointid_lib	sing_960.htm#SEC1037	
poly	poly	sing_137.htm#SEC178	
poly (plural)	poly (plural)	sing_374.htm#SEC415	
poly declarations	poly declarations	sing_138.htm#SEC179	
poly declarations (plural)	poly declarations (plural)	sing_375.htm#SEC416	
poly expressions	poly expressions	sing_139.htm#SEC180	
poly expressions (plural)	poly expressions (plural)	sing_376.htm#SEC417	
poly operations	poly operations	sing_140.htm#SEC181	
poly operations (plural)	poly operations (plural)	sing_377.htm#SEC418	
poly related functions	poly related functions	sing_141.htm#SEC182	
poly related functions (plural)	poly related functions (plural)	sing_378.htm#SEC419	
poly.lib	poly_lib	sing_727.htm#SEC804	
poly2list	poly2list	sing_513.htm#SEC566	24267
poly_lib	poly_lib	sing_727.htm#SEC804	
polymake	polymake_lib	sing_1521.htm#IDX525	
polymake.lib	polymake_lib	sing_1521.htm#SEC1598	
polymakeKeepTmpFiles	polymakeKeepTmpFiles	sing_1541.htm#SEC1618	20979
polymakePolytope	polymakePolytope	sing_1522.htm#SEC1599	11504
polymakeToIntmat	polymakeToIntmat	sing_1528.htm#SEC1605	24343
polymake_lib	polymake_lib	sing_1521.htm#SEC1598	
polymake_lib 		sing_1521.htm#SEC1598	
polytope	polymake_lib	sing_1521.htm#IDX521	
pos_def	pos_def	sing_843.htm#SEC920	4994
posweight	posweight	sing_1181.htm#SEC1258	3364
power	power	sing_803.htm#SEC880	3196
powerN	powerN	sing_1424.htm#SEC1501	20170
powerX	powerX	sing_1433.htm#SEC1510	47971
power_products	power_products	sing_1211.htm#SEC1288	54629
powerpolyX	powerpolyX	sing_1401.htm#SEC1478	37247
powersums	powersums	sing_1499.htm#SEC1576	59049
preComp	preComp	sing_929.htm#SEC1006	16160
preimage	preimage	sing_265.htm#SEC306	
preimage (plural)	preimage (plural)	sing_409.htm#SEC450	
preimage under a map between local rings, map between local rings, map between local and global rings	preimageLoc	sing_791.htm#IDX369	
preimageLoc	preimageLoc	sing_791.htm#SEC868	33315
prepEmbDiv	prepEmbDiv	sing_1010.htm#SEC1087	36708
prepMat	prepMat	sing_1248.htm#SEC1325	39868
prepSV	prepSV	sing_1346.htm#SEC1423	50095
prepareAss	prepareAss	sing_974.htm#SEC1051	21802
presentTree	presentTree	sing_997.htm#SEC1074	10731
presolve.lib	presolve_lib	sing_1251.htm#SEC1328	
presolve_lib	presolve_lib	sing_1251.htm#SEC1328	
primL	primL	sing_1428.htm#SEC1505	45709
primList	primList	sing_1427.htm#SEC1504	6802
primTest	primTest	sing_928.htm#SEC1005	8105
primary_char0	primary_char0	sing_1201.htm#SEC1278	61413
primary_char0_no_molien	primary_char0_no_molien	sing_1203.htm#SEC1280	50477
primary_char0_no_molien_random	primary_char0_no_molien_random	sing_1208.htm#SEC1285	8422
primary_char0_random	primary_char0_random	sing_1206.htm#SEC1283	5996
primary_charp	primary_charp	sing_1202.htm#SEC1279	37863
primary_charp_no_molien	primary_charp_no_molien	sing_1204.htm#SEC1281	32282
primary_charp_no_molien_random	primary_charp_no_molien_random	sing_1209.htm#SEC1286	11498
primary_charp_random	primary_charp_random	sing_1207.htm#SEC1284	24739
primary_charp_without	primary_charp_without	sing_1205.htm#SEC1282	49585
primary_charp_without_random	primary_charp_without_random	sing_1210.htm#SEC1287	36998
primary_invariants	primary_invariants	sing_1189.htm#SEC1266	5500
primary_invariants_random	primary_invariants_random	sing_1190.htm#SEC1267	28958
primdec.lib	primdec_lib	sing_964.htm#SEC1041	
primdecGTZ	primdecGTZ	sing_966.htm#SEC1043	10548
primdecSY	primdecSY	sing_967.htm#SEC1044	40294
primdec_lib	primdec_lib	sing_964.htm#SEC1041	
prime	prime	sing_266.htm#SEC307	
primeClosure	primeClosure	sing_954.htm#SEC1031	61884
primeList	primeList	sing_917.htm#SEC994	26450
primecoeffs	primecoeffs	sing_711.htm#SEC788	33334
primefactors	primefactors	sing_712.htm#SEC789	30122
primes	primes	sing_705.htm#SEC782	24408
primitiv.lib	primitiv_lib	sing_980.htm#SEC1057	
primitiv_lib	primitiv_lib	sing_980.htm#SEC1057	
primitive	primitive	sing_981.htm#SEC1058	36163
primitive element	primitive	sing_981.htm#IDX386	
primitive_extra	primitive_extra	sing_982.htm#SEC1059	49025
print	print	sing_267.htm#SEC308	
printf	printf	sing_268.htm#SEC309	2294
printlevel	printlevel	sing_336.htm#SEC377	
proc	proc	sing_142.htm#SEC183	
proc declaration	proc declaration	sing_143.htm#SEC184	
procedure, ASCII help	mdouble	sing_58.htm#IDX197	
procedure, ASCII/Texinfo help	msum	sing_60.htm#IDX199	
procedure, texinfo help	mtripple	sing_59.htm#IDX198	
procedures, help string	The help string of procedures	sing_56.htm#SEC94	
procedures, static	Procedure definition	sing_43.htm#SEC78	
prodcrit	prodcrit	sing_1476.htm#SEC1553	56231
product	product	sing_706.htm#SEC783	54431
progress watch	option	sing_259.htm#IDX219	
prompt	The SINGULAR prompt	sing_15.htm#SEC21	
prompt, option	option	sing_259.htm#IDX231	
prot, option	option	sing_259.htm#IDX217	
protocol of computations	option	sing_259.htm#IDX218	
proximitymatrix	proximitymatrix	sing_1041.htm#SEC1118	58403
prune	prune	sing_269.htm#SEC310	
psigncnd	psigncnd	sing_1304.htm#SEC1381	57734
puiseux2generators	puiseux2generators	sing_1126.htm#SEC1203	64508
pwalk	pwalk	sing_888.htm#SEC965	61187
qbase	qbase	sing_1502.htm#SEC1579	8633
qhmatrix	qhmatrix	sing_1179.htm#SEC1256	61813
qhmoduli.lib	qhmoduli_lib	sing_1143.htm#SEC1220	
qhmoduli_lib	qhmoduli_lib	sing_1143.htm#SEC1220	
qhspectrum	qhspectrum	sing_1166.htm#SEC1243	13732
qhweight	qhweight	sing_270.htm#SEC311	
qmatrix.lib	qmatrix_lib	sing_594.htm#SEC647	
qmatrix.lib 		sing_594.htm#IDX322	
qmatrix_lib	qmatrix_lib	sing_594.htm#SEC647	
qmatrix_lib 		sing_594.htm#IDX323	
qminor	qminor	sing_596.htm#SEC649	52670
qring	Miscellaneous oddities	sing_144.htm#SEC185	
qring 		sing_354.htm#IDX285	
qring (plural)	qring (plural)	sing_379.htm#SEC420	
qring declaration	qring declaration	sing_145.htm#SEC186	
qring declaration (plural)	qring declaration (plural)	sing_380.htm#SEC421	
qring related functions (plural)	qring related functions (plural)	sing_381.htm#SEC422	
qslimgb	qslimgb	sing_686.htm#SEC763	51999
quadraticSieve	quadraticSieve	sing_1441.htm#SEC1518	58557
quantMat	quantMat	sing_595.htm#SEC648	56227
quickclass	quickclass	sing_1063.htm#SEC1140	14018
quit	quit	sing_326.htm#SEC367	
quote	quote	sing_271.htm#SEC312	
quotient	quotient	sing_272.htm#SEC313	
quotient (plural)	quotient (plural)	sing_410.htm#SEC451	
quotientMain	quotientMain	sing_1296.htm#SEC1373	39870
rMacaulay	rMacaulay	sing_720.htm#SEC797	45499
rad_con	rad_con	sing_739.htm#SEC816	21777
radical	radical	sing_971.htm#SEC1048	1407
radicalEHV	radicalEHV	sing_972.htm#SEC1049	33703
radicalMemberShip	radicalMemberShip	sing_1565.htm#SEC1642	28527
randcharpoly	randcharpoly	sing_1496.htm#SEC1573	37737
randlinpoly	randlinpoly	sing_1498.htm#SEC1575	22330
random	random	sing_273.htm#SEC314	
random number generator, seed	system	sing_297.htm#IDX268	
random.lib	random_lib	sing_749.htm#SEC826	
randomBinomial	randomBinomial	sing_761.htm#SEC838	39056
randomCheck	randomCheck	sing_1362.htm#SEC1439	20973
randomLast	randomLast	sing_760.htm#SEC837	2046
randomPoly	randomPoly	sing_1573.htm#SEC1650	6278
random_lib	random_lib	sing_749.htm#SEC826	
randomid	randomid	sing_751.htm#SEC828	7815
randommat	randommat	sing_752.htm#SEC829	33569
rational univariate projection	randcharpoly	sing_1496.htm#IDX518	
rcgs	rcgs	sing_774.htm#SEC851	3560
rcgs, crcgs, buildtree, cantreetoMaple, cantodiffcgs	rcgs	sing_773.htm#IDX365	
rcgs, crcgs, buildtree, cantreetoMaple, cantodiffcgs 		sing_774.htm#IDX366	
read	read	sing_274.htm#SEC315	
reading, option	option	sing_259.htm#IDX232	
readline	Preface	sing_1.htm#IDX6	
real	Rings and orderings	sing_28.htm#IDX144	
real roots, univariate polynomial	rootsur_lib	sing_1503.htm#IDX520	
real roots, univariate projection	rootsmr_lib	sing_1487.htm#IDX516	
real roots,sign conditions	signcond_lib	sing_1302.htm#IDX499	
realpoly	realpoly	sing_985.htm#SEC1062	9453
realrad	realrad	sing_987.htm#SEC1064	43381
realrad.lib	realrad_lib	sing_984.htm#SEC1061	
realrad_lib	realrad_lib	sing_984.htm#SEC1061	
realzero	realzero	sing_986.htm#SEC1063	12712
redSB, option	option	sing_259.htm#IDX220	
redTail, option	option	sing_259.htm#IDX222	
redThrough, option	option	sing_259.htm#IDX223	
redcgs.lib	redcgs_lib	sing_762.htm#SEC839	
redcgs_lib	redcgs_lib	sing_762.htm#SEC839	
redefine, option	option	sing_259.htm#IDX233	
redspec	redspec	sing_768.htm#SEC845	12952
reduce	central_lib	sing_275.htm#SEC316	
reduce 		sing_446.htm#IDX299	
reduce (plural)	reduce (plural)	sing_411.htm#SEC452	
reduced standard basis	option	sing_259.htm#IDX221	
reduction	reduction	sing_1227.htm#SEC1304	31048
reesclos.lib	reesclos_lib	sing_988.htm#SEC1065	
reesclos_lib	reesclos_lib	sing_988.htm#SEC1065	
regCM	regCM	sing_948.htm#SEC1025	sprintf
regIdeal	regIdeal	sing_934.htm#SEC1011	3827
regMonCurve	regMonCurve	sing_937.htm#SEC1014	41311
regularity	Syzygies and resolutions	sing_276.htm#SEC317	
regularity 		sing_661.htm#SEC719	
reiffen	reiffen	sing_492.htm#SEC545	32856
rel_orbit_variety	rel_orbit_variety	sing_1220.htm#SEC1297	34278
relations	perron_lib	sing_592.htm#IDX321	
relative_orbit_variety	relative_orbit_variety	sing_1221.htm#SEC1298	32995
relweight	relweight	sing_1180.htm#SEC1257	10658
remainder	remainder	sing_1289.htm#SEC1366	1191
remainderMain	remainderMain	sing_1297.htm#SEC1374	3532
removepower	removepower	sing_1051.htm#SEC1128	47644
repart	repart	sing_277.htm#SEC318	
representation, math objects	Representation of mathematical objects	sing_648.htm#SEC701	
res	res	sing_278.htm#SEC319	53499
reservedName	reservedName	sing_279.htm#SEC320	
resgraph.lib	resgraph_lib	sing_1325.htm#SEC1402	
resgraph_lib	resgraph_lib	sing_1325.htm#SEC1402	
resolution	resolution	sing_146.htm#SEC187	
resolution (plural)	resolution (plural)	sing_382.htm#SEC423	
resolution declarations	resolution declarations	sing_147.htm#SEC188	
resolution declarations (plural)	resolution declarations (plural)	sing_383.htm#SEC424	
resolution expressions	resolution expressions	sing_148.htm#SEC189	
resolution expressions (plural)	resolution expressions (plural)	sing_384.htm#SEC425	
resolution graph	alexpoly_lib	sing_1036.htm#IDX399	
resolution related functions	resolution related functions	sing_149.htm#SEC190	
resolution related functions (plural)	resolution related functions (plural)	sing_385.htm#SEC426	
resolution, La Scala's method	lres	sing_239.htm#SEC280	
resolution, computation of	res	sing_278.htm#IDX235	
resolution, hilbert-driven	hres	sing_214.htm#SEC255	
resolutiongraph	resolutiongraph	sing_1037.htm#SEC1114	32697
resolve	resolve	sing_995.htm#SEC1072	8099
resolve.lib	resolve_lib	sing_991.htm#SEC1068	
resolve_lib	resolve_lib	sing_991.htm#SEC1068	
resultant	resultant	sing_280.htm#SEC321	
reszeta.lib	reszeta_lib	sing_1004.htm#SEC1081	
reszeta_lib	reszeta_lib	sing_1004.htm#SEC1081	
return	return	sing_327.htm#SEC368	
return type of procedures	Return type of procedures	sing_352.htm#SEC393	
returnSB, option	option	sing_259.htm#IDX208	
reverse	reverse	sing_1517.htm#SEC1594	35880
reverse lexicographical ordering	Global orderings	sing_652.htm#IDX327	
reynolds_molien	reynolds_molien	sing_1196.htm#SEC1273	45316
rho	rho	sing_1435.htm#SEC1512	51414
rightInverse	rightInverse	sing_1381.htm#SEC1458	6558
rightKernel	rightKernel	sing_1379.htm#SEC1456	46603
rightStd	rightStd	sing_580.htm#SEC633	5740
ring	ring	sing_150.htm#SEC191	
ring (plural)	ring (plural)	sing_386.htm#SEC427	
ring declarations	ring declarations	sing_151.htm#SEC192	
ring declarations (plural)	ring declarations (plural)	sing_387.htm#SEC428	
ring operations	ring operations	sing_153.htm#SEC194	
ring operations (plural)	ring operations (plural)	sing_388.htm#SEC429	
ring related functions	ring related functions	sing_152.htm#SEC193	
ring related functions (plural)	ring related functions (plural)	sing_389.htm#SEC430	
ring, rings	setglobalrings	sing_763.htm#IDX357	
ring.lib	ring_lib	sing_777.htm#SEC854	
ring_lib	ring_lib	sing_777.htm#SEC854	
ringlist	ringlist	sing_281.htm#SEC322	
ringlist (plural)	ringlist (plural)	sing_412.htm#SEC453	
ringtensor	ringtensor	sing_789.htm#SEC866	56648
ringweights	ringweights	sing_790.htm#SEC867	33307
rinvar.lib	rinvar_lib	sing_1232.htm#SEC1309	
rinvar_lib	rinvar_lib	sing_1232.htm#SEC1309	
rm_unitcol	rm_unitcol	sing_821.htm#SEC898	5591
rm_unitrow	rm_unitrow	sing_820.htm#SEC897	35694
rmx	rmx	sing_1323.htm#SEC1400	17675
rootofUnity	rootofUnity	sing_792.htm#SEC869	21365
roots	roots	sing_1290.htm#SEC1367	18436
rootsMain	rootsMain	sing_1298.htm#SEC1375	54934
rootsModp	rootsModp	sing_1415.htm#SEC1492	24252
rootsmr.lib	rootsmr_lib	sing_1487.htm#SEC1564	
rootsmr_lib	rootsmr_lib	sing_1487.htm#SEC1564	
rootsur.lib	rootsur_lib	sing_1503.htm#SEC1580	
rootsur_lib	rootsur_lib	sing_1503.htm#SEC1580	
round	round	sing_1413.htm#SEC1490	9248
rowred	rowred	sing_817.htm#SEC894	63416
rp, global ordering	Global orderings	sing_652.htm#IDX326	
rvalue	No rvalue of increments and assignments	sing_346.htm#SEC387	
rvar	rvar	sing_282.htm#SEC323	
sa_poly_reduce	sa_poly_reduce	sing_455.htm#SEC508	60856
sa_reduce	sa_reduce	sing_454.htm#SEC507	55799
sagbi	sagbi	sing_1016.htm#SEC1093	48546
sagbi.lib	sagbi_lib	sing_1012.htm#SEC1089	
sagbiNF	sagbiNF	sing_1015.htm#SEC1092	19752
sagbiPart	sagbiPart	sing_1017.htm#SEC1094	28068
sagbiRreduction	sagbiRreduction	sing_1013.htm#SEC1090	sprintf
sagbiSPoly	sagbiSPoly	sing_1014.htm#SEC1091	34863
sagbi_lib	sagbi_lib	sing_1012.htm#SEC1089	
sameComponent	sameComponent	sing_1470.htm#SEC1547	13540
sameQ	sameQ	sing_1301.htm#SEC1378	45579
sat	sat	sing_880.htm#SEC957	34991
satiety	satiety	sing_936.htm#SEC1013	34323
scalarProd	scalarProd	sing_444.htm#SEC497	54488
sdb, source code debugger	Source code debugger	sing_63.htm#SEC101	
secondary fan	polymake_lib	sing_1521.htm#IDX523	
secondary polytope	polymake_lib	sing_1521.htm#IDX524	
secondaryFan	secondaryFan	sing_1531.htm#SEC1608	17938
secondaryPolytope	secondaryPolytope	sing_1530.htm#SEC1607	6405
secondary_and_irreducibles_no_molien	secondary_and_irreducibles_no_molien	sing_1217.htm#SEC1294	37058
secondary_char0	secondary_char0	sing_1212.htm#SEC1289	31029
secondary_charp	secondary_charp	sing_1214.htm#SEC1291	16364
secondary_no_molien	secondary_no_molien	sing_1215.htm#SEC1292	3616
secondary_not_cohen_macaulay	secondary_not_cohen_macaulay	sing_1218.htm#SEC1295	31675
select	select	sing_881.htm#SEC958	17096
select1	select1	sing_882.htm#SEC959	32617
semiCMcod2	semiCMcod2	sing_1177.htm#SEC1254	15905
semidiv	semidiv	sing_1462.htm#SEC1539	58107
semigroup	charexp2generators	sing_1040.htm#SEC1117	29045
semigroup 		sing_1044.htm#IDX406	
semigroup of values	invariants	sing_1116.htm#IDX478	
separateHNE	separateHNE	sing_1127.htm#SEC1204	12052
separator	separator	sing_919.htm#SEC996	33000
serreRelations	serreRelations	sing_527.htm#SEC580	33994
setLetterplaceAttributes	setLetterplaceAttributes	sing_520.htm#SEC573	49210
setenv	system	sing_297.htm#IDX247	
setglobalrings	setglobalrings	sing_763.htm#SEC840	3471
setring	setring	sing_283.htm#SEC324	
sh	system	sing_297.htm#IDX238	
sheaf cohomology	sheafcoh_lib	sing_1018.htm#IDX389	
sheafCoh	sheafCoh	sing_1024.htm#SEC1101	64501
sheafCohBGG	sheafCohBGG	sing_1022.htm#SEC1099	13439
sheafCohBGG2	sheafCohBGG2	sing_1023.htm#SEC1100	3338
sheafcoh.lib	sheafcoh_lib	sing_1018.htm#SEC1095	
sheafcoh_lib	sheafcoh_lib	sing_1018.htm#SEC1095	
short	short	sing_337.htm#SEC378	
show	show	sing_721.htm#SEC798	15599
showBO	showBO	sing_996.htm#SEC1073	20089
showDataTypes	showDataTypes	sing_998.htm#SEC1075	4270
showrecursive	showrecursive	sing_722.htm#SEC799	6127
signatureL	signatureL	sing_1577.htm#SEC1654	65493
signatureLqf	signatureLqf	sing_1578.htm#SEC1655	18811
signcnd	signcnd	sing_1303.htm#SEC1380	40147
signcond.lib	signcond_lib	sing_1302.htm#SEC1379	
signcond_lib	signcond_lib	sing_1302.htm#SEC1379	
simplex	simplex	sing_284.htm#SEC325	
simplexOut	simplexOut	sing_1274.htm#SEC1351	56099
simplify	simplify	sing_285.htm#SEC326	
sing.lib	sing_lib	sing_1153.htm#SEC1230	
sing4ti2.lib	sing4ti2_lib	sing_1028.htm#SEC1105	
sing4ti2_lib	sing4ti2_lib	sing_1028.htm#SEC1105	
sing_lib	sing_lib	sing_1153.htm#SEC1230	
singularities	spectrumnd	sing_1085.htm#IDX419	
singularities 		sing_1184.htm#IDX493	
singularities, resolution of	Resolution of singularities	sing_637.htm#SEC690	
singularity	singularity	sing_1064.htm#SEC1141	23002
singularrc	Startup sequence	sing_20.htm#IDX143	
size	Miscellaneous oddities	sing_286.htm#SEC327	
size 		sing_354.htm#IDX284	
skewmat	skewmat	sing_804.htm#SEC881	2167
sleep	status	sing_292.htm#SEC333	
slimgb	slim Groebner bases	sing_287.htm#SEC328	
slimgb 		sing_614.htm#SEC667	
slimgb (plural)	slimgb (plural)	sing_413.htm#SEC454	
slocus	slocus	sing_1165.htm#SEC1242	33229
smith	smith	sing_1390.htm#SEC1467	31292
solutionsMod2	solutionsMod2	sing_1432.htm#SEC1509	53360
solve	solve	sing_1268.htm#SEC1345	3078
solve.lib	solve_lib	sing_1266.htm#SEC1343	
solveTInitialFormPar	solveTInitialFormPar	sing_1568.htm#SEC1645	31360
solve_IP	solve_IP	sing_911.htm#SEC988	59518
solve_lib	solve_lib	sing_1266.htm#SEC1343	
solvelinearpart	solvelinearpart	sing_1261.htm#SEC1338	42872
sort	sort	sing_707.htm#SEC784	49553
sortandmap	sortandmap	sing_1262.htm#SEC1339	10314
sortier	sortier	sing_1231.htm#SEC1308	3555
sortvars	sortvars	sing_1263.htm#SEC1340	61778
sortvec	sortvec	sing_288.htm#SEC329	
source code debugger, sdb	Source code debugger	sing_63.htm#SEC101	
spadd	spadd	sing_1099.htm#SEC1176	48739
sparseHomogIdeal	sparseHomogIdeal	sing_758.htm#SEC835	34709
sparseid	sparseid	sing_753.htm#SEC830	20824
sparsemat	sparsemat	sing_755.htm#SEC832	17653
sparsematrix	sparsematrix	sing_754.htm#SEC831	41031
sparsepoly	sparsepoly	sing_756.htm#SEC833	21649
sparsetriag	sparsetriag	sing_757.htm#SEC834	50657
spcurve.lib	spcurve_lib	sing_1173.htm#SEC1250	
spcurve_lib	spcurve_lib	sing_1173.htm#SEC1250	
special characters, non-english	Limitations	sing_343.htm#IDX277	
specification	redspec	sing_768.htm#IDX360	
spectral pairs	goodBasis	sing_1085.htm#IDX427	
spectral pairs 		sing_1092.htm#IDX440	
spectral pairs  		sing_1094.htm#IDX448	
spectral pairs   		sing_1107.htm#IDX460	
spectral pairs    		sing_1109.htm#IDX471	
spectralNeg	spectralNeg	sing_1006.htm#SEC1083	36691
spectrum	spectrumnd	sing_1085.htm#IDX426	33857
spectrum 		sing_1091.htm#SEC1168	
spectrum  		sing_1091.htm#IDX435	
spectrum   		sing_1092.htm#IDX439	
spectrum    		sing_1093.htm#IDX443	
spectrum     		sing_1094.htm#IDX447	
spectrum      		sing_1107.htm#IDX459	
spectrum       		sing_1109.htm#IDX470	
spectrum        		sing_1184.htm#IDX495	
spectrum.lib	spectrum_lib	sing_1183.htm#SEC1260	
spectrum_lib	spectrum_lib	sing_1183.htm#SEC1260	
spectrumnd	spectrumnd	sing_1184.htm#SEC1261	29943
spgamma	spgamma	sing_1106.htm#SEC1183	59653
spgeomgenus	spgeomgenus	sing_1105.htm#SEC1182	57796
spissemicont	spissemicont	sing_1102.htm#SEC1179	23679
split	split	sing_723.htm#SEC800	29794
splitPolygon	splitPolygon	sing_1533.htm#SEC1610	2411
splitring	splitring	sing_983.htm#SEC1060	56404
splitting	splitting	sing_927.htm#SEC1004	34734
spmilnor	spmilnor	sing_1104.htm#SEC1181	32933
spmul	spmul	sing_1101.htm#SEC1178	43607
spnf	spnf	sing_847.htm#SEC924	29592
spoly	spoly	sing_1473.htm#SEC1550	35454
sppairs	sppairs	sing_1092.htm#SEC1169	18918
sppnf	sppnf	sing_1097.htm#SEC1174	16650
sppprint	sppprint	sing_1098.htm#SEC1175	43682
spprint	spprint	sing_848.htm#SEC925	18671
sprintf	sprintf	sing_290.htm#SEC331	55889
spsemicont	spsemicont	sing_1103.htm#SEC1180	61169
spsub	spsub	sing_1100.htm#SEC1177	54296
sqfrNorm	sqfrNorm	sing_1291.htm#SEC1368	20546
sqfrNormMain	sqfrNormMain	sing_1299.htm#SEC1376	9890
sqr	sqr	sing_1410.htm#SEC1487	sprintf
sqrfree	sqrfree	sing_289.htm#SEC330	
squareRoot	squareRoot	sing_1431.htm#SEC1508	17446
squarefree	squarefree	sing_1128.htm#SEC1205	48485
sres	sres	sing_291.htm#SEC332	
staircase	staircase	sing_1308.htm#SEC1385	49781
standard	standard	sing_1480.htm#SEC1557	14067
standard.lib	standard_lib	sing_685.htm#IDX354	
standard_lib	standard_lib	sing_685.htm#IDX355	
static procedures	Procedure definition	sing_43.htm#SEC78	
status	status	sing_292.htm#SEC333	
std	groebner and std	sing_293.htm#SEC334	
std 		sing_612.htm#SEC665	
std (plural)	std (plural)	sing_414.htm#SEC455	
stdfglm	stdfglm	sing_294.htm#SEC335	256
stdhilb	stdhilb	sing_295.htm#SEC336	63138
stratify	stratify	sing_1249.htm#SEC1326	56744
stratify.lib	stratify_lib	sing_1247.htm#SEC1324	
stratify_lib	stratify_lib	sing_1247.htm#SEC1324	
string	Miscellaneous oddities	sing_154.htm#SEC195	
string 		sing_354.htm#IDX287	
string declarations	string declarations	sing_155.htm#SEC196	
string expressions	string expressions	sing_156.htm#SEC197	
string operations	string operations	sing_158.htm#SEC199	
string related functions	string related functions	sing_159.htm#SEC200	
string type cast	string type cast	sing_157.htm#SEC198	
stripHNE	stripHNE	sing_1125.htm#SEC1202	19265
sturm	sturm	sing_1513.htm#SEC1590	54353
sturmha	sturmha	sing_1515.htm#SEC1592	12467
sturmhaseq	sturmhaseq	sing_1516.htm#SEC1593	59133
sturmquery	sturmquery	sing_1491.htm#SEC1568	10805
sturmseq	sturmseq	sing_1514.htm#SEC1591	23005
submat	submat	sing_805.htm#SEC882	37665
subrInterred	subrInterred	sing_746.htm#SEC823	10165
subset	subset	sing_765.htm#SEC842	4326
subst	subst	sing_296.htm#SEC337	
subst (plural)	subst (plural)	sing_415.htm#SEC456	
substitute	substitute	sing_745.htm#SEC822	28919
sugarCrit, option	option	sing_259.htm#IDX224	
sum	sum	sing_708.htm#SEC785	555
superCommutative	superCommutative	sing_579.htm#SEC632	26299
surf.lib	surf_lib	sing_1329.htm#IDX500	
surf_lib	surf_lib	sing_1329.htm#IDX501	
surfer	Preface	sing_1.htm#IDX9	
surfex	Preface	sing_1.htm#IDX8	
surfex.lib	surfex_lib	sing_1331.htm#SEC1408	
surfex_lib	surfex_lib	sing_1331.htm#SEC1408	
suspend	status	sing_292.htm#SEC333	
swap	swap	sing_1068.htm#SEC1145	15408
switch	No case or switch statement	sing_348.htm#SEC389	
sym_gauss	sym_gauss	sing_831.htm#SEC908	5121
symmat	symmat	sing_806.htm#SEC883	61294
symmetric basis	symmetricBasis	sing_823.htm#IDX370	
symmetric power	symmetricPower	sing_825.htm#IDX372	
symmetricBasis	symmetricBasis	sing_823.htm#SEC900	sprintf
symmetricPower	symmetricPower	sing_825.htm#SEC902	6542
symmfunc	symmfunc	sing_1500.htm#SEC1577	45575
symsignature	symsignature	sing_1490.htm#SEC1567	10520
syndrome	syndrome	sing_1358.htm#SEC1435	14057
sysBin	sysBin	sing_1356.htm#SEC1433	41948
sysCRHT	sysCRHT	sing_1353.htm#SEC1430	58930
sysCRHTMindist	sysCRHTMindist	sing_1354.htm#SEC1431	13692
sysFL	sysFL	sing_1369.htm#SEC1446	53040
sysNewton	sysNewton	sing_1355.htm#SEC1432	19704
sysQE	sysQE	sing_1359.htm#SEC1436	61026
sys_code	sys_code	sing_1350.htm#SEC1427	20220
system	system	sing_297.htm#SEC338	
system, -	system		
system, --		sing_297.htm#IDX262	
system, --long_option_name		sing_297.htm#IDX265	
system, --long_option_name=value		sing_297.htm#IDX267	
system, -long_option_name	system		
system, -long_option_name=value	system		
system, Singular	system	sing_297.htm#IDX259	
system, SingularLib	system	sing_297.htm#IDX261	
system, browsers	system	sing_297.htm#IDX274	
system, contributors	system	sing_297.htm#IDX254	
system, gen	system	sing_297.htm#IDX255	
system, getenv	system	sing_297.htm#IDX246	
system, nblocks	system	sing_297.htm#IDX257	
system, pid	system	sing_297.htm#IDX241	
system, setenv	system	sing_297.htm#IDX248	
system, sh	system	sing_297.htm#IDX239	
system, tty	system	sing_297.htm#IDX250	
system, uname	system	sing_297.htm#IDX243	
system, version	system	sing_297.htm#IDX252	
syz	syz	sing_298.htm#SEC339	
syz (plural)	syz (plural)	sing_416.htm#SEC457	
tInitialForm	tInitialForm	sing_1554.htm#SEC1631	42727
tInitialFormPar	tInitialFormPar	sing_1566.htm#SEC1643	9584
tInitialFormParMax	tInitialFormParMax	sing_1567.htm#SEC1644	7829
tInitialIdeal	tInitialIdeal	sing_1555.htm#SEC1632	48112
tab	tab	sing_724.htm#SEC801	60407
tail	tail	sing_1469.htm#SEC1546	13066
tame polynomial	goodBasis	sing_1107.htm#IDX452	
tame polynomial 		sing_1108.htm#IDX462	
tame polynomial  		sing_1109.htm#IDX463	
tangentcone	tangentcone	sing_1172.htm#SEC1249	20056
tau_es	tau_es	sing_1080.htm#SEC1157	17043
tau_es2	tau_es2	sing_1048.htm#SEC1125	38083
teachstd.lib	teachstd_lib	sing_1467.htm#SEC1544	
teachstd_lib	teachstd_lib	sing_1467.htm#SEC1544	
template.lib	template_lib	sing_57.htm#IDX192	
template.lib 		sing_57.htm#IDX195	
template_lib	template_lib	sing_57.htm#SEC95	
template_lib 		sing_57.htm#IDX193	
tensor	tensor	sing_807.htm#SEC884	65451
tensorMod	tensorMod	sing_908.htm#SEC985	21961
term orderings	General definitions for orderings	sing_651.htm#SEC704	
term orderings introduction	Introduction to orderings	sing_650.htm#SEC703	
testPrimary	testPrimary	sing_970.htm#SEC1047	34254
tex	tex	sing_1314.htm#SEC1391	12226
texDrawBasic	texDrawBasic	sing_1561.htm#SEC1638	35239
texDrawNewtonSubdivision	texDrawNewtonSubdivision	sing_1563.htm#SEC1640	16439
texDrawTriangulation	texDrawTriangulation	sing_1564.htm#SEC1641	21307
texDrawTropical	texDrawTropical	sing_1562.htm#SEC1639	20453
texMatrix	texMatrix	sing_1560.htm#SEC1637	1334
texNumber	texNumber	sing_1558.htm#SEC1635	12628
texPolynomial	texPolynomial	sing_1559.htm#SEC1636	41136
texdemo	texdemo	sing_1315.htm#SEC1392	56734
texfactorize	texfactorize	sing_1316.htm#SEC1393	6682
texmap	texmap	sing_1317.htm#SEC1394	35265
texname	texname	sing_1318.htm#SEC1395	1008
texobj	texobj	sing_1319.htm#SEC1396	2107
texpoly	texpoly	sing_1320.htm#SEC1397	64109
texproc	texproc	sing_1321.htm#SEC1398	45412
texring	texring	sing_1322.htm#SEC1399	38275
the first alternative algorithm	awalk1	sing_886.htm#IDX377	
time limit on computations	groebner	sing_209.htm#IDX203	
timeFactorize	timeFactorize	sing_714.htm#SEC791	49531
timeStd	timeStd	sing_713.htm#SEC790	31506
timer	rtimer	sing_338.htm#SEC379	
timer 		sing_340.htm#SEC381	
timer resolution, setting the	system	sing_297.htm#IDX272	
tjurina	tjurina	sing_1168.htm#SEC1245	9100
tmatrix	tmatrix	sing_1095.htm#SEC1172	4402
tolessvars	tolessvars	sing_1260.htm#SEC1337	56590
topological invariants	charexp2conductor	sing_1036.htm#IDX397	
topological invariants 		sing_1043.htm#IDX404	
topological invariants  		sing_1044.htm#IDX408	
topological invariants   		sing_1045.htm#IDX412	
topological invariants    		sing_1046.htm#IDX416	
toric ideals	Toric ideals	sing_665.htm#SEC723	
toric.lib	toric_lib	sing_1032.htm#SEC1109	
toric_ideal	toric_ideal	sing_1033.htm#SEC1110	2041
toric_lib	toric_lib	sing_1032.htm#SEC1109	
toric_std	toric_std	sing_1034.htm#SEC1111	26141
total multiplicities	alexpoly_lib	sing_1036.htm#IDX400	
totalmultiplicities	totalmultiplicities	sing_1038.htm#SEC1115	58264
trace	trace	sing_299.htm#SEC340	
tracemult	tracemult	sing_1494.htm#SEC1571	58303
transpose	transpose	sing_300.htm#SEC341	
triMNewton	triMNewton	sing_1286.htm#SEC1363	62822
triagmatrix	triagmatrix	sing_759.htm#SEC836	17944
triang.lib	triang_lib	sing_1279.htm#SEC1356	
triangL	triangL	sing_1280.htm#SEC1357	51847
triangL_solve	triangL_solve	sing_1277.htm#SEC1354	10101
triangLf_solve	triangLf_solve	sing_1275.htm#SEC1352	49796
triangLfak	triangLfak	sing_1281.htm#SEC1358	50093
triangM	triangM	sing_1282.htm#SEC1359	59334
triangMH	triangMH	sing_1283.htm#SEC1360	34277
triangM_solve	triangM_solve	sing_1276.htm#SEC1353	63652
triang_lib	triang_lib	sing_1279.htm#SEC1356	
triang_solve	triang_solve	sing_1278.htm#SEC1355	64404
triangulations	triangulations	sing_1529.htm#SEC1606	28771
tropical curves	tropical_lib	sing_1542.htm#IDX530	
tropical polynomials	tropical_lib	sing_1542.htm#IDX531	
tropical.lib	tropical_lib	sing_1542.htm#IDX528	
tropicalCurve	tropicalCurve	sing_1545.htm#SEC1622	44084
tropicalJInvariant	tropicalJInvariant	sing_1548.htm#SEC1625	25480
tropicalLifting	tropicalLifting	sing_1543.htm#SEC1620	47777
tropicalSubst	tropicalSubst	sing_1572.htm#SEC1649	49846
tropical_lib	tropical_lib	sing_1542.htm#SEC1619	
tropical_lib 		sing_1542.htm#IDX529	
tropicalise	tropicalise	sing_1552.htm#SEC1629	56771
tropicaliseSet	tropicaliseSet	sing_1553.htm#SEC1630	35136
truncate	truncate	sing_1019.htm#SEC1096	13545
truncateFast	truncateFast	sing_1020.htm#SEC1097	5124
truncated module	truncateFast	sing_1019.htm#IDX390	
truncated module 		sing_1020.htm#IDX391	
tty	system	sing_297.htm#IDX249	
twalk	twalk	sing_885.htm#SEC962	35753
twostd	twostd	sing_417.htm#SEC458	
type	type	sing_301.htm#SEC342	
typeof	typeof	sing_302.htm#SEC343	
uname	system	sing_297.htm#IDX242	
unitmat	unitmat	sing_808.htm#SEC885	12862
univariate	univariate	sing_303.htm#SEC344	
univarpoly	univarpoly	sing_1501.htm#SEC1578	46288
unknown syndrome	Decoding method based on quadratic equations	sing_681.htm#SEC753	
untyped definitions	ideal (plural)	sing_74.htm#SEC115	
untyped definitions 		sing_359.htm#SEC400	
updatePairs	updatePairs	sing_1479.htm#SEC1556	51144
ures_solve	ures_solve	sing_1269.htm#SEC1346	32449
uressolve	uressolve	sing_304.htm#SEC345	
usage, option	option	sing_259.htm#IDX234	
user interface, Emacs	Emacs user interface	sing_21.htm#SEC28	
valvars	valvars	sing_1264.htm#SEC1341	15723
vandermonde	vandermonde	sing_305.htm#SEC346	
vanishId	vanishId	sing_1368.htm#SEC1445	49148
var	var	sing_306.htm#SEC347	
varNum	varNum	sing_496.htm#SEC549	36159
variables	variables	sing_307.htm#SEC348	
variablesSorted	variablesSorted	sing_463.htm#SEC516	13533
variablesStandard	variablesStandard	sing_462.htm#SEC515	56500
varsigns	varsigns	sing_1506.htm#SEC1583	3471
varstr	varstr	sing_308.htm#SEC349	
vct2str	vct2str	sing_525.htm#SEC578	51983
vdim	vdim	sing_309.htm#SEC350	
vdim (plural)	vdim (plural)	sing_418.htm#SEC459	
vec2poly	vec2poly	sing_445.htm#SEC498	27377
vector	vector	sing_160.htm#SEC201	
vector declarations	vector declarations	sing_161.htm#SEC202	
vector expressions	vector expressions	sing_162.htm#SEC203	
vector operations	vector operations	sing_163.htm#SEC204	
vector related functions	vector related functions	sing_164.htm#SEC205	
verify	verify	sing_1497.htm#SEC1574	32271
versal	versal	sing_1075.htm#SEC1152	46247
version	system	sing_297.htm#IDX251	
version in a library	Format of a library	sing_49.htm#IDX190	
vfilt	vfilt	sing_1093.htm#SEC1170	30913
view	view	sing_1388.htm#SEC1465	29284
voice	voice	sing_341.htm#SEC382	
vwfilt	vwfilt	sing_1094.htm#SEC1171	29002
wUnit	wUnit	sing_1416.htm#SEC1493	27198
watchdog	watchdog	sing_709.htm#SEC786	sprintf
wedge	wedge	sing_310.htm#SEC351	
weierstr.lib	weierstr_lib	sing_1482.htm#SEC1559	
weierstrDiv	weierstrDiv	sing_1483.htm#SEC1560	260
weierstrPrep	weierstrPrep	sing_1484.htm#SEC1561	5752
weierstr_lib	weierstr_lib	sing_1482.htm#SEC1559	
weierstrassForm	weierstrassForm	sing_1549.htm#SEC1626	34710
weight	weight	sing_311.htm#SEC352	
weight filtration	goodBasis	sing_1085.htm#IDX424	
weight filtration 		sing_1092.htm#IDX438	
weight filtration  		sing_1094.htm#IDX446	
weight filtration   		sing_1107.htm#IDX457	
weight filtration    		sing_1109.htm#IDX468	
weightKB	weightKB	sing_312.htm#SEC353	21753
weightM, option	option	sing_259.htm#IDX225	
weighted lexicographical ordering	Global orderings	sing_652.htm#IDX334	
weighted reverse lexicographical ordering	Global orderings	sing_652.htm#IDX332	
weightedRing	weightedRing	sing_572.htm#SEC625	33786
which	which	sing_710.htm#SEC787	14271
whichvariable	whichvariable	sing_1505.htm#SEC1582	27122
while	while	sing_328.htm#SEC369	
wp, global ordering	Global orderings	sing_652.htm#IDX333	
write	write	sing_313.htm#SEC354	
writelist	writelist	sing_725.htm#SEC802	29998
ws, local ordering	Local orderings	sing_653.htm#IDX344	
wurzel	wurzel	sing_1398.htm#SEC1475	12755
xdvi	xdvi	sing_1324.htm#SEC1401	16898
zero-dimensional	qbase	sing_1502.htm#IDX519	
zeroMod	zeroMod	sing_923.htm#SEC1000	60609
zeroOpt	zeroOpt	sing_932.htm#SEC1009	19260
zeroSet	zeroSet	sing_1292.htm#SEC1369	60030
zerodec	zerodec	sing_978.htm#SEC1055	30765
zeroset.lib	zeroset_lib	sing_1287.htm#SEC1364	
zeroset_lib	zeroset_lib	sing_1287.htm#SEC1364	
zetaDL	zetaDL	sing_1008.htm#SEC1085	sprintf
{	Special characters	sing_36.htm#IDX148	
||	boolean operations	sing_36.htm#IDX173	
|| 		sing_87.htm#SEC128	
}	Special characters	sing_36.htm#IDX149	
~	~	sing_36.htm#IDX186	
~ 		sing_329.htm#SEC370