Changeset fe09a23 in git
- Timestamp:
- May 11, 2020, 4:39:03 PM (4 years ago)
- Branches:
- (u'fieker-DuVal', '117eb8c30fc9e991c4decca4832b1d19036c4c65')(u'spielwiese', '38077648e7239f98078663eb941c3c979511150a')
- Children:
- d241d764691791bc7b7981d0f67f308c3971c486
- Parents:
- a507140ac6c95fb0208c2ecc8534ae72e803e5b8300f9b8e4c5fed28feceeeca5f72aaaf82918595
- Files:
-
- 3 added
- 11 edited
Legend:
- Unmodified
- Added
- Removed
-
Singular/table.h
ra507140 rfe09a23 699 699 ,{D(jjLOAD_E), LOAD_CMD, NONE, STRING_CMD, STRING_CMD, ALLOW_NC |ALLOW_RING} 700 700 ,{D(jjRES), LRES_CMD, RESOLUTION_CMD, IDEAL_CMD, INT_CMD, NO_NC |NO_RING} 701 ,{D(jjMODULO), MODULO_CMD, MODUL_CMD, IDEAL_CMD, IDEAL_CMD, ALLOW_ PLURAL|ALLOW_RING}702 ,{D(jjMODULO), MODULO_CMD, MODUL_CMD, MODUL_CMD, MODUL_CMD, ALLOW_ PLURAL|ALLOW_RING}701 ,{D(jjMODULO), MODULO_CMD, MODUL_CMD, IDEAL_CMD, IDEAL_CMD, ALLOW_NC |ALLOW_RING} 702 ,{D(jjMODULO), MODULO_CMD, MODUL_CMD, MODUL_CMD, MODUL_CMD, ALLOW_NC |ALLOW_RING} 703 703 ,{D(jjMONITOR2), MONITOR_CMD, NONE, LINK_CMD, STRING_CMD, ALLOW_NC |ALLOW_RING} 704 704 //,{D(jjRES), MRES_CMD, LIST_CMD, IDEAL_CMD, INT_CMD, NO_NC |ALLOW_RING} -
Tst/Letterplace.lst
ra507140 rfe09a23 7 7 Manual/letterplace_liftstd.tst 8 8 Manual/letterplace_syz.tst 9 Manual/letterplace_modulo.tst 9 10 Manual/letterplace_reduce.tst 10 11 Manual/letterplace_print.tst -
Tst/Manual/letterplace_liftstd.res.gz.uu
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Tst/Manual/letterplace_liftstd.stat
ra507140 rfe09a23 1 1 >> tst_memory_0 :: 158 7327326:4131, 64 bit:4.1.3:x86_64-Darwin:Karims-iMac.localdomain:214073442 1 >> tst_memory_1 :: 158 7327326:4131, 64 bit:4.1.3:x86_64-Darwin:Karims-iMac.localdomain:377487363 1 >> tst_memory_2 :: 158 7327326:4131, 64 bit:4.1.3:x86_64-Darwin:Karims-iMac.localdomain:379173284 1 >> tst_timer_1 :: 158 7327326:4131, 64 bit:4.1.3:x86_64-Darwin:Karims-iMac.localdomain:271 1 >> tst_memory_0 :: 1589117458:4131, 64 bit:4.1.3:x86_64-Linux:alfirik:98059904 2 1 >> tst_memory_1 :: 1589117458:4131, 64 bit:4.1.3:x86_64-Linux:alfirik:156229632 3 1 >> tst_memory_2 :: 1589117458:4131, 64 bit:4.1.3:x86_64-Linux:alfirik:156229632 4 1 >> tst_timer_1 :: 1589117458:4131, 64 bit:4.1.3:x86_64-Linux:alfirik:236 -
Tst/Manual/letterplace_liftstd.tst
ra507140 rfe09a23 42 42 tst_status(1);$ 43 43 44 // to test the results testLift(I, T) should be equal to J and reduce(J, std(I)) and reduce(std(I), J) should be zero44 // to test the results testLift(I, T) should be equal to J, testLift(I, S) should be zero and reduce(J, std(I)) and reduce(std(I), J) should be zero -
Tst/Manual/letterplace_syz.res.gz.uu
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2185 M=[ZK95RKCG6\VP_4.>*HFH)/A^O^UX`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`[9\>%JF/4LI379>[I9=]E_ 2194 M,IE_KG5Y6&&7AUI%Z^/#OI_CQ*F;@E4CO<X45>#\$S4]'/H93)R_*675OJO` 2195 M^5=#V/JNXT?>Z#Q/T*')$_1F\R#Z8AN'\S'Z]3#ZK"\V&7\:9%N3&Z%[YZ`O 2196 M/MP,X\_Z8I.YIQLIC/_YVL_^=AA]UO>:##S][)^BV8?/#SMVU[\SX)=-=I7^ 2197 MG2N_O/N/B@5\N!]6-_/))KM)MX[YBSEEWNFB1Y8@%Z^*;EL2*GL89CWSVB8# 2198 M2GOB@0X_GOCUU=4P^LP3FVPFW>BS#K_F,UE'WP\T/$IV36Z2/@=]>/]&.6Y> 2199 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Tst/Manual/letterplace_syz.stat
ra507140 rfe09a23 1 1 >> tst_memory_0 :: 15 77183431:4122, 64 bit:4.1.2:x86_64-Darwin:Karims-iMac.localdomain:226664322 1 >> tst_memory_1 :: 15 77183431:4122, 64 bit:4.1.2:x86_64-Darwin:Karims-iMac.localdomain:251857363 1 >> tst_memory_2 :: 15 77183431:4122, 64 bit:4.1.2:x86_64-Darwin:Karims-iMac.localdomain:253364644 1 >> tst_timer_1 :: 15 77183431:4122, 64 bit:4.1.2:x86_64-Darwin:Karims-iMac.localdomain:171 1 >> tst_memory_0 :: 1589118699:4131, 64 bit:4.1.3:x86_64-Linux:alfirik:2601625544 2 1 >> tst_memory_1 :: 1589118699:4131, 64 bit:4.1.3:x86_64-Linux:alfirik:2957467648 3 1 >> tst_memory_2 :: 1589118699:4131, 64 bit:4.1.3:x86_64-Linux:alfirik:3391700992 4 1 >> tst_timer_1 :: 1589118699:4131, 64 bit:4.1.3:x86_64-Linux:alfirik:1190 -
Tst/Manual/letterplace_syz.tst
ra507140 rfe09a23 4 4 option(redSB); option(redTail); 5 5 6 ring r = 0,(x,y),(c,dp); 7 ring R = freeAlgebra(r, 10, 2); 8 ideal I = x,y; 9 syz(I); 10 11 kill r; kill R; 12 6 13 // name: Uso3squared_c_dp 7 14 ring r = 0,(x,y,z),(C,dp); 8 ring R = freeAlgebra(r, 13, 12);15 ring R = freeAlgebra(r, 13, 76); 9 16 ideal I = (bracket(x,y)-z)^2, (bracket(z,x)-y)^2, (bracket(y,z)-x)^2; 10 17 I = twostd(I); // deg = 7 … … 22 29 // name: Uso3squared_C_dp 23 30 ring r = 0,(x,y,z),(C,dp); 24 ring R = freeAlgebra(r, 13, 12);31 ring R = freeAlgebra(r, 13, 76); 25 32 ideal I = (bracket(x,y)-z)^2, (bracket(z,x)-y)^2, (bracket(y,z)-x)^2; 26 33 I = twostd(I); // deg = 7 … … 38 45 // name: Uso3squared_dp_c 39 46 ring r = 0,(x,y,z),(dp,c); 40 ring R = freeAlgebra(r, 13, 9);47 ring R = freeAlgebra(r, 13, 39); 41 48 ideal I = (bracket(x,y)-z)^2, (bracket(z,x)-y)^2, (bracket(y,z)-x)^2; 42 49 I = twostd(I); // deg = 7 -
Tst/Manual/m.lst
ra507140 rfe09a23 1 typeof 2 _trace 3 janet 4 kbase 5 killattrib 6 Names_in_procedures 7 Parameters 8 var 1 absFactorize 2 absPrimdecGTZ 3 abstractR 4 absValue 5 Access_to_elements_of_a_user_defined_type 6 actionIsProper 7 addcol 8 addrow 9 ademRelations 10 Adj_div 11 adjoint 12 adjointIdeal 13 AGcode_L 14 AGcode_Omega 15 AG_codes 16 A_L 17 alexanderpolynomial 18 algDependent 19 algebra_containment 20 algebraicDependence 21 Algebraic_dependence 22 alg_kernel 23 all_lib 24 allPositive 25 allprint 26 allreal 27 allrealst 28 allsquarefree 29 AltVarStart 30 Ann 31 annfs 32 annfs0 33 annfs2 34 annfsBMI 35 annfsParamBM 36 annfspecial 37 annfsRB 38 annil 39 annPoly 40 annRat 41 appelF1 42 appelF2 43 appelF4 44 areZeroElements 45 ArnoldAction 46 arrange 47 ASCII 48 ASCII_links 49 assPrimes 50 attrib 51 attrib_1 52 attrib_2 53 autonom 54 autonomDim 55 awalk1 56 awalk2 57 A_Z 58 babyGiant 59 backward 60 bareiss 61 basicinvariants 62 Basic_programming 63 belongSemigroup 64 bernstein 65 bernsteinBM 66 bernsteinLift 67 betti 68 betti_BR_PLURAL_BR 69 Betti_numbers_and_regularity 70 bFactor 71 bfct 72 bfctIdeal 73 bfctOneGB 74 bfctSyz 75 bfctVarAnn 76 bfctVarIn 77 bigint_declarations 78 bigint_expressions 79 bigint_operations 80 binomial 81 binomials2intmat 82 BINresol 83 BlowingUp 84 blowUp 85 blowup0 86 blowUp2 87 blowUpBO 88 Blowupcenter 89 boolean_operations 90 boundBuFou 91 boundDes 92 boundposDes 93 bracket 94 Branches_of_space_curve_singularities 95 breakpoint 96 BrillNoether 97 bubblesort 98 busadj 99 calculateI 100 canonize 101 canonMap 102 cantoradd 103 cantormult 104 cantorred 105 cardGroup 106 CenCharDec 107 _center 108 Center 109 CenterBO 110 centerRed 111 centerVS 112 central1st 113 central2nd 114 centralizer 115 centralizerRed 116 centralizerVS 117 centralizeSet 118 CentralQuot 119 CentralSaturation 120 cgs 121 chaincrit 122 changeDenominator 123 changevar 124 char 9 125 Characteristic_sets 126 charexp2conductor 127 charexp2generators 128 charexp2inter 129 charexp2multseq 130 charexp2poly 131 charInfo 132 charpoly 133 char_series 134 charstr 135 charVariety 136 checkFactor 137 checkRoot 138 chineseRem 139 chinrem 140 chinrestp 141 Classification_of_hypersurface_singularities 142 classify 143 cleanunit 144 cleardenom 145 closed_points 146 closetex 147 closureFrac 148 CM_regularity 149 CMtype 150 codim 151 coef 152 coeffmod 153 coeffs 154 coeffs_1 155 collectDiv 156 colrank 157 colred 158 Command_line_options 159 completeReduction 160 ComplexValue 161 compress 162 Computation_of_Ext 163 computemcm 164 concat 165 constructblwup 166 constructH 167 constructlastblwup 168 content 169 contract 170 control 171 controlDim 172 controlExample 173 convertdata 174 convloc 175 coords 176 corank 177 Cornacchia 178 CornacchiaModified 179 cornerMonomials 180 countPoints 181 createBO 182 createGradedRingHomomorphism 183 createGroup 184 createlist 185 createQuotientGroup 186 createTorsionFreeGroup 10 187 Critical_points 188 cup 189 cupproduct 190 CurveParam 191 CurveRes 192 cyclic 193 cyclotomic 194 DBM_links 195 dbprint 196 debug_log 197 dec1var 198 decimal 199 Declaration_of_objects_of_a_user_defined_type 200 decode 201 decodeCode 202 decodeRandom 203 decodeRandomFL 204 decodeSV 205 decoef 206 def 207 def_declarations 208 defined 209 defineHomogeneous 210 Definition_of_a_user_defined_type 211 deform 212 Deformations 213 defring 214 defringp 215 defrings 216 deg 217 degree 218 degreepart 219 delete 220 deleteGenerator 221 deleteSublist 222 _delta 223 Delta 224 DeltaList 225 deltaLoc 226 denominator 227 _depth 228 Depth 229 depthIdeal 230 deRhamCohom 231 deRhamCohomIdeal 232 derivate 233 det 234 detadj 235 det_B 236 determinecenter 237 develop 238 diag 239 diag_test 11 240 diff 241 difpoly2tex 242 dim 243 dim_BR_PLURAL_BR 244 dimGradedPart 245 dimH 246 dimMon 247 dim_slocus 248 disc 249 discr 250 discrepancy 251 displayHNE 252 displayInvariants 253 displayMultsequence 254 dividelist 255 divideUnits 256 division 257 division_BR_PLURAL_BR 258 divisor 259 DLoc 260 DLoc0 261 double 262 dsum 263 dual_code 264 Dynamic_modules 265 ecart 266 ECoef 267 Edatalist 268 eexgcdN 269 eigenvals 270 elemSymmId 271 elim1 272 elim2 273 eliminate 274 eliminate_BR_PLURAL_BR 275 Elimination 276 elimlinearpart 277 elimpart 278 elimpartanyr 279 elimrep 280 elimRing 281 ellipticAdd 282 ellipticAllPoints 283 ellipticcovers 284 ellipticMult 285 ellipticRandomCurve 286 ellipticRandomPoint 287 Emaxcont 288 embedMat 289 encode 290 endvfilt 291 engine 292 envelope 293 EOrdlist 294 equalJinI 295 equalMultiDeg 296 equidim 297 equidimMax 298 equidimMaxEHV 299 equidimZ 300 equiRadical 301 Eresol 302 ERROR 303 errorInsert 304 errormap 305 errorRand 306 esIdeal 307 esStratum 308 euler 309 evaluate_reynolds 310 Example_of_use_of_@sc{Letterplace} 311 execute 312 exp2pt 313 expo 314 exportto 315 Ext 316 extcurve 317 extdevelop 318 extendring 319 Exterior 320 exteriorBasis 321 exteriorPower 322 extgcd 323 Ext_R 324 facFirstShift 325 facFirstWeyl 326 facGBIdeal 327 facstd 328 facSubWeyl 329 factmodd 330 factorgroup 331 factorH 332 factorial 333 Factorization 334 factorize 335 factorLenstraECM 336 farey 337 fastelim 338 fastExpt 339 fetch 340 fetchall 341 fetch_BR_PLURAL_BR 342 fglm 343 fglmquot 344 fglm_solve 345 fibonacci 346 find 347 findAuto 348 findifs_example 349 findimAlgebra 350 findInvo 351 findInvoDiag 352 findTorsion 353 finduni 354 findvars 355 Finite_fields 356 finitenessTest 357 First_index_is_1 358 firstoct 359 fitting 360 fl2poly 361 flatten 362 flatteningStrat 363 Formatting_output 364 forward 365 fourier 366 fouriersystem 367 fprintf 368 freeAlgebra 369 freeGBasis 370 freemodule 371 freerank 372 Free_resolution 373 Free_resolutions 374 frwalk 375 fullSerreRelations 376 Function_without_return_value 377 further_hn_proc 378 furtherInvar 379 fwalk 380 G_a_-Invariants 381 Gamma 382 gauss_col 383 Gauss-Manin_connection 384 Gauss-Manin_connection_1 385 Gauss-Manin_connection_2 386 gauss_nf 387 gaussred 388 gaussred_pivot 389 gauss_row 390 GBWeight 391 gcd 392 gcddivisor 393 gcdMon 394 gen 395 Generalized_Hilbert_Syzygy_Theorem 396 generalOrder 397 generateG 398 genericid 399 genericity 400 genericmat 401 genMDSMat 402 genoutput 403 getGradingGroup 404 getLattice 405 getModuleGrading 406 getOneVar 407 getSmallest 408 getVariableWeights 409 GKdim 410 GKZsystem 411 gmscoeffs 412 gmsnf 413 gmsring 414 goodBasis 415 Graded_commutative_algebras__SCA_ 416 gradiator 417 graver4ti2 418 groebner 419 groebner_and_std 420 Groebner_basis_conversion 421 group_reynolds 422 GTZmod 423 GTZopt 424 gwalk 425 Gweights 426 H2basis 427 Handling_graded_modules 428 Hcode 429 headStand 430 heightZ 431 hermiteNormalForm 432 hessenberg 433 highcorner 434 hilb 435 hilbert4ti2 436 HilbertClassPoly 437 hilbertSeries 438 hilbPoly 439 hilbvec 440 hnexpansion 441 Hom 442 HomJJ 443 hom_kernel 444 homog 445 homogfacFirstQWeyl 446 homogfacFirstQWeyl_all 447 homology 448 hres 449 id2mod 450 ideal_declarations 451 ideal_declarations_BR_PLURAL_BR 452 ideal_expressions 453 ideal_expressions_BR_PLURAL_BR 12 454 ideal_operations 13 455 ideal_operations_BR_PLURAL_BR 456 idealsimplify 457 idealSplit 458 Identifier_resolution 459 Identifier_resolution_1 460 identifyvar 461 ImageGroup 462 imageLattice 463 image_of_variety 464 ImageVariety 465 imap 466 imapall 467 imap_BR_PLURAL_BR 468 impart 469 importfrom 470 iMult 471 inCenter 472 inCentralizer 473 indepSet 474 indSet 475 inForm 476 iniD 477 init_debug 478 initialIdealW 479 initialMalgrange 480 insert 481 insertGenerator 482 inSubring 483 int_declarations 484 integralBasis 485 integralIdeal 486 integralModule 487 integralSection 488 internalfunctions 489 interpolate 490 interpolation 491 interred 492 intersect 493 intersect_BR_PLURAL_BR 494 intersection 495 intersectionDiv 496 intersectLattices 497 intersectMon 498 IntersectWithSub 499 intersectZ 500 int_expressions 501 intInverse 502 intmat2mons 503 intmat_declarations 504 intmat_expressions 505 intmat_operations 506 intmat_type_cast 507 int_operations 508 intPart 509 intRank 510 intRoot 511 intRoots 512 intvec_declarations 513 intvec_expressions 514 intvec_operations 515 invariant_algebra_perm 516 invariant_algebra_reynolds 517 invariant_basis 518 invariant_basis_reynolds 519 invariant_ring 520 _invariantRing 521 InvariantRing 522 invariant_ring_random 523 invariants 524 Invariants_of_a_finite_group 525 Invariants_of_plane_curve_singularities 526 inverse 527 inverse_B 528 inverseFourier 529 inverse_L 530 invertBirMap 531 involution 532 invunit 533 iostruct 534 irreddecMon 535 irred_secondary_char0 536 irred_secondary_no_molien 537 is_active 538 isAntiEndo 539 isartinianMon 540 is_bijective 541 isCartan 542 isCentral 543 is_ci 544 isCI 545 isCM 546 isCMcod2 547 isCommutative 548 is_complex 549 isEquising 550 isFlat 551 isFsat 552 isgenericMon 553 isGradedRingHomomorphism 554 isGroup 555 isGroupHomomorphism 556 isHolonomic 557 isHomogeneous 558 ishyper 559 is_injective 560 isInt 561 isIntegralSurjective 562 isInvolution 563 is_irred 564 isirreducibleMon 565 is_is 566 isLocallyFree 567 isMonomial 568 isNC 569 is_nested 570 is_NND 571 is_NP 572 _isoncurve 573 isOnCurve 574 isparam 575 isPositive 576 isprimaryMon 577 isprimeMon 578 isPrimitiveSublattice 579 isRational 580 is_reg 581 isReg 582 is_regs 583 IsSCA 584 isSublattice 585 is_surjective 586 isTame 587 isTorsionFree 588 isuni 589 isWeyl 590 is_zero 591 isZeroElement 592 iv2lp 593 iv2lpList 594 iv2lpMat 595 ivL2lpI 14 596 jacob 15 kill 16 koszul 17 leadcoef 18 Matrix_orderings_1 19 Names_2 20 vandermonde 21 binomials2intmat 22 cardGroup 23 char_series 24 cleardenom 25 dim 26 eliminate 27 eliminate_BR_PLURAL_BR 28 gcddivisor 29 homog 30 impart 597 Jacobi 598 jacoblift 599 jacobson 600 janet 31 601 jet 32 laguerre 33 Miscellaneous_oddities_1 34 Names_1 35 Objects 36 Pipe_links 37 pyobject_related_functions 38 reduce 39 short 40 showNmzOptions 41 slimgb 42 sortvec 43 variables 44 Access_to_elements_of_a_user_defined_type 45 cantorred 46 chinrem 47 DBM_links 48 Dynamic_modules 49 hres 50 ideal_declarations_BR_PLURAL_BR 51 importfrom 52 indepSet 53 int_declarations 54 int_operations 602 jOft 603 jordan 604 jordanbasis 605 jordanmatrix 606 jordannf 607 jungfib 608 jungnormal 609 jungresolve 610 katsura 611 kbase 55 612 kbase_BR_PLURAL_BR 56 613 kernel 614 kernelLattice 57 615 Kernel_of_module_homomorphisms 616 kill 617 killattrib 618 kohom 619 kontrahom 620 koszul 621 KoszulHomology 622 KScoef 623 KSconvert 624 KSker 625 KSlinear 626 KSpencerKernel 627 laguerre 628 laguerre_solve 629 lastvarGeneral 630 latticeBasis 631 laxfrT 632 laxfrX 633 lcm 634 lcmMon 635 lcmN 636 lcmofall 637 lead 638 leadcoef 639 leadexp 640 leadmonom 641 leadmonomial 642 Left_and_two-sided_Groebner_bases 643 leftInverse 644 leftKernel 645 LengthSym 646 LengthSymElement 647 letterplace_bracket 648 letterplace_lift 649 letterplace_liftstd 650 letterplace_maxideal 651 letterplace_modulo 652 letterplace_multiplication 653 letterplace_print 654 letterplace_reduce 655 letterplace_std 656 letterplace_std_Z 657 letterplace_syz 658 lex_solve 58 659 LIB 660 lieBracket 661 lift 662 lift_BR_PLURAL_BR 663 lift_kbase 664 lift_rel_kb 665 liftstd 666 liftstd_BR_PLURAL_BR 667 linearCombinations 668 LinearizeAction 669 linearMapKernel 670 linearpart 671 linear_relations 672 link_declarations 673 linReduce 674 linReduceIdeal 675 linSyzSolve 676 list_declarations 677 list_expressions 678 list_operations 679 listvar 680 _lll 681 load 682 load_1 683 Loading_a_library 684 localInvar 685 localstd 686 locAtZero 687 locstd 688 log2 689 Long_coefficients 690 lp2iv 691 lp2ivId 692 lpGkDim 693 lpGlDimBound 694 lpHilbert 695 lpId2ivLi 696 lpIsPrime 697 lpIsSemiPrime 698 lpKDim 699 lpKDimCheck 700 lpLmDivisible 701 lpMonomialBasis 702 lpMonomialPrinting 703 lpNF 704 lpNoetherian 705 lprint 706 lpSickleDim 707 lpUfnarovskiGraph 708 lres 709 ludecomp 710 luinverse 711 lusolve 712 magnitude 713 makeHeisenberg 714 makeLetterplaceRing 715 makeMalgrange 716 makeModElimRing 717 makeQsl2 718 makeQsl3 719 makeQso3 720 makeUe6 721 makeUe7 722 makeUe8 723 makeUf4 724 makeUg2 725 makeUgl 726 makeUsl 727 makeUsl2 728 makeUso10 729 makeUso11 730 makeUso12 731 makeUso5 732 makeUso6 733 makeUso7 734 makeUso8 735 makeUso9 736 makeUsp1 737 makeUsp2 738 makeUsp3 739 makeUsp4 740 makeUsp5 741 makeWeyl 742 Manual/Example_of_use_of_@sc{Letterplace} 743 Manual/iv2lp 744 Manual/iv2lpList 745 Manual/iv2lpMat 746 Manual/ivL2lpI 747 Manual/letterplace_maxideal 748 Manual/lp2iv 749 Manual/lp2ivId 750 Manual/lpId2ivLi 751 Manual/serreRelations 752 mapall 753 map_BR_PLURAL_BR_operations 754 map_declarations 755 map_declarations_BR_PLURAL_BR 756 mapIsFinite 757 map_operations 758 mapToRatNormCurve 759 markov4ti2 760 matbil 761 matmult 762 matrix_declarations 763 matrix_expressions 764 matrix_operations 765 Matrix_orderings 766 Matrix_orderings_1 767 matrixsystem 768 matrixT1 769 matrix_type_cast 770 mat_rk 771 Max 772 maxabs 773 maxcoef 774 maxdeg 775 maxdeg1 776 maxEord 777 maxideal 778 maximum 779 Maxord 780 mdouble 781 membershipMon 782 midpoint 783 MillerRabin 784 milnor 785 Milnor_and_Tjurina_number 786 milnorcode 787 Min 788 minAssChar 789 minAssGTZ 790 minAssZ 791 minbase 792 minbaseMon 793 mindeg 794 mindeg1 795 mindist 796 minEcart 797 MinimalDecomposition 798 minIntRoot 799 minipoly 800 minor 801 minpoly 802 minres 803 minres_BR_PLURAL_BR 804 Miscellaneous_oddities 805 Miscellaneous_oddities_1 806 Miscellaneous_oddities_2 59 807 Miscellaneous_oddities_3 808 Miscellaneous_oddities_4 809 mod2id 810 modDec 811 ModEqn 812 modStd 813 module_containment 814 module_declarations 815 module_declarations_BR_PLURAL_BR 816 module_operations 817 module_operations_BR_PLURAL_BR 818 Module_orderings 819 Module_orderings_1 820 Module_orderings_2 821 Module_orderings_3 822 modulo 823 modulo_BR_PLURAL_BR 824 moduloSlim 825 mod_versal 826 molien 827 monodromy 828 monodromyB 829 monomial 830 monomialLcm 831 mons2intmat 832 morsesplit 833 mp_res_mat 834 mpresmat 835 mres 836 mres_BR_PLURAL_BR 837 mstd 838 msum 839 mtriple 840 mult 841 multBound 842 multcol 843 multi 844 multiDeg 845 multiDegBasis 846 multiDegGroebner 847 multiDegModulo 848 multiDegPartition 849 multiDegResolution 850 multiDegSyzygy 851 multiDegTensor 852 multiplylist 853 multrow 854 multseq2charexp 855 multsequence 856 nameof 857 _names 858 Names 859 Names_1 860 Names_2 861 Names_3 862 Names_in_procedures 863 nashmult 864 nc_algebra 865 ncdetection 866 ncols 867 ncRelations 868 ndcond 869 newTest 870 newtonDiag 871 newtonpoly 872 nf_icis 873 NFMora 874 noether 875 noetherNormal 876 NoetherPosition 877 Nonhyp 878 nonMonomials 879 nonZeroEntry 880 norm 881 normal 882 normalC 883 normalform 884 normalI 885 Normalization 886 normalize 887 normalP 888 norTest 889 npar 890 npars 891 nres 892 nres_BR_PLURAL_BR 893 nrows 894 nrroots 895 nrRootsDeterm 896 nrRootsProbab 897 nselect 898 NSplaces 899 nt_solve 900 NullCone 901 number_declarations 902 number_e 903 number_expressions 904 number_operations 905 number_pi 906 numerator 907 nvars 908 Objects 909 oneDimBelongSemigroup 910 opentex 911 operatorBM 912 operatorModulo 913 oppose 914 opposite 915 option 916 orbit_variety 917 ord 60 918 ordstr 919 ord_test 920 orthogonalize 921 outer 922 package_declarations 923 pairset 924 par 925 par2varRing 926 paraConic 927 param 928 Parameters 929 paraPlaneCurve 930 pardeg 931 parstr 932 partial_molien 933 PartitionVar 934 ParToVar 935 pause 936 PBW_eqDeg 61 937 PBW_maxDeg 62 938 PBW_maxMonom 63 poly_expressions_BR_PLURAL_BR 64 pyobject 65 _quotient 66 random 67 rMacaulay 68 show 69 simplify 70 sparseHomogIdeal 71 sqrfree 72 status 73 transpose 74 triagmatrix 75 univariate 76 univarpoly 77 vdim_BR_PLURAL_BR 78 bigint_expressions 79 boolean_operations 80 breakpoint 81 cantoradd 82 Center 83 chaincrit 84 changevar 85 closetex 86 coeffs_1 87 Cornacchia 88 Declaration_of_objects_of_a_user_defined_type 89 def_declarations 90 delete 91 double 92 ellipticMult 93 embedMat 94 Generalized_Hilbert_Syzygy_Theorem 95 groebner 96 gwalk 97 id2mod 98 imap 99 insert 100 intRoot 101 ishyper 102 jordanbasis 103 kohom 104 kontrahom 105 matrix_operations 106 Module_orderings_1 107 Module_orderings_2 108 mult 109 power 110 printf 111 proc_declaration 112 qring_declaration_BR_PLURAL_BR 113 Quotient_rings 114 relweight 115 repart 116 reservedName 117 ringlist_BR_PLURAL_BR 118 setNmzDataPath 119 setNmzOption 120 showrecursive 121 sort 122 sprintf 123 std 124 texproc 125 timeFactorize 126 tolessvars 127 toric_ideal 128 varsigns 129 Algebraic_dependence 130 Betti_numbers_and_regularity 131 bigint_declarations 132 boundposDes 133 cantormult 134 charexp2generators 135 CMtype 136 Command_line_options 137 defined 138 Definition_of_a_user_defined_type 139 deg 140 detadj 141 division 142 elemSymmId 143 elim1 144 ellipticRandomCurve 145 equidimMaxEHV 146 fglmquot 147 First_index_is_1 148 Free_resolutions 149 frwalk 150 Function_without_return_value 151 gcd 152 ideal_declarations 153 Identifier_resolution 154 inCenter 155 interpolation 156 intmat_expressions 157 intvec_operations 158 is_injective 159 is_reg 160 isuni 161 laxfrX 162 leadexp 163 leadmonom 164 letterplace_reduce 165 Loading_a_library 166 map_declarations 167 Matrix_orderings 168 mdouble 169 Miscellaneous_oddities 170 Miscellaneous_oddities_2 171 msum 172 par2varRing 173 PBW_eqDeg 174 print 175 Print_command 176 prodcrit 177 pyobject_declarations 178 pyobject_operations 179 pyobject_related_functions_1 180 qring_declaration 181 rad_con 182 removepower 183 resultant 184 rvar 185 setring 186 solutionsMod2 187 sortier 188 sparsepoly 189 split 190 spprint 191 squareRoot 192 sturmseq 193 submat 194 syz 195 texname 196 triangLf_solve 197 twalk 198 type 199 valvars 200 allrealst 201 ASCII_links 202 attrib_1 203 awalk1 204 char 205 charexp2multseq 206 codim 207 contract 208 debug_log 209 det 210 dsum 211 eigenvals 212 elimpartanyr 213 ellipticRandomPoint 214 fetch 215 freemodule 216 gauss_col 217 gauss_nf 218 Handling_graded_modules 219 highcorner 220 idealsimplify 221 inCentralizer 222 indSet 223 inSubring 224 interpolate 225 interred 226 intersect 227 intmat2mons 228 intmat_operations 229 intmat_type_cast 230 isartinianMon 231 isparam 232 kernelLattice 233 lcm 234 lead 235 Left_and_two-sided_Groebner_bases 236 lift 237 load_1 238 matrix_declarations 239 maxideal 240 minor 241 module_declarations 242 module_declarations_BR_PLURAL_BR 243 module_operations_BR_PLURAL_BR 244 Module_orderings_3 245 multBound 246 Names 247 NullCone 248 nvars 249 pardeg 939 pdivi 940 PerfectPowerTest 941 permcol 942 permrow 943 permute_L 944 perron 945 pFactor 946 PH_ais 947 PH_nais 948 pIntersect 949 pIntersectSyz 950 Pipe_links 250 951 pmat 251 poly_operations 252 primecoeffs 253 primefactors 254 prune 255 pyobject_expressions 256 python_eval 257 qhmatrix 258 qslimgb 259 reduce_BR_PLURAL_BR 260 resolution_declarations 261 resolution_declarations_BR_PLURAL_BR 262 size 263 skewmat 264 spadd 265 sparsemat 266 splitting 267 spsub 268 squarefree 269 string_expressions 270 string_operations 271 sturmhaseq 272 subst 273 texpoly 274 triang_solve 275 truncateFast 276 Type_casting 277 u 278 ures_solve 279 variablesStandard 280 vdim 281 voice 282 whichvariable 283 wUnit 284 A_Z 285 algDependent 286 allprint 287 allreal 288 ASCII 289 bigint_operations 290 boundBuFou 291 canonMap 292 central2nd 293 charpoly 294 charstr 295 chinrestp 296 coef 297 coeffs 298 ComplexValue 299 CornacchiaModified 300 denominator 301 derivate 302 det_B 303 diag 304 dimMon 305 divisor 306 elimlinearpart 307 elimRing 308 equalJinI 309 errorInsert 310 errorRand 311 exportto 312 fibonacci 313 find 314 finduni 315 Formatting_output 316 Gauss-Manin_connection_2 317 hilb 318 ImageGroup 319 imapall 320 init_debug 321 integralSection 322 intInverse 323 intRank 324 is_active 325 _isoncurve 326 jordanmatrix 327 jordannf 328 katsura 329 KScoef 330 latticeBasis 331 laxfrT 332 lift_BR_PLURAL_BR 333 load 334 Long_coefficients 335 matrix_type_cast 336 Max 337 maxabs 338 Miscellaneous_oddities_4 339 nameof 340 _names 341 Names_3 342 ncols 343 noether 344 option 345 ord_test 346 ParToVar 347 PerfectPowerTest 348 permrow 952 Polar_curves 953 poly 954 poly2list 349 955 poly_declarations 350 956 poly_declarations_BR_PLURAL_BR 351 957 poly_expressions 958 poly_expressions_BR_PLURAL_BR 959 poly_operations 960 pos_def 961 posweight 962 power 963 powerN 964 powerpolyX 965 power_products 966 powersums 967 powerX 968 preComp 969 preimage 970 preimage_BR_PLURAL_BR 971 preimageLattice 972 preimageLoc 973 prepareAss 974 prepEmbDiv 975 prepSV 976 primary_char0 977 primary_char0_no_molien 978 primary_char0_no_molien_random 979 primary_char0_random 980 primary_charp 981 primary_charp_no_molien 982 primary_charp_no_molien_random 983 primary_charp_random 984 primary_charp_without 985 primary_charp_without_random 986 Primary_decomposition 987 primary_invariants 988 primary_invariants_random 989 PrimdecA 990 PrimdecB 991 primdecGTZ 992 primdecMon 993 primdecSY 994 primdecZ 995 prime 996 primeClosure 997 primecoeffs 998 primefactors 999 primes 1000 primitive 1001 primitive_extra 1002 primitiveSpan 1003 primL 1004 primList 1005 primTest 1006 print 1007 Print_command 1008 printf 1009 printGroup 1010 printlevel 1011 proc_declaration 1012 prodcrit 1013 product 1014 productgroup 1015 projectLattice 1016 proximitymatrix 1017 prune 1018 psigncnd 1019 puiseux2generators 1020 pushForward 1021 pwalk 1022 pyobject 1023 pyobject_declarations 1024 pyobject_expressions 1025 pyobject_operations 1026 pyobject_related_functions 1027 pyobject_related_functions_1 1028 pyramid 1029 python_eval 352 1030 python_import 353 1031 python_run 354 randomBinomial 355 read 356 ringlist 357 Rings_associated_to_monomial_orderings 358 setinitials 359 solvelinearpart 360 sortvars 361 sparseid 362 splitring 363 sqfrNorm 364 Ssi_file_links 365 Ssi_tcp_links 366 string_declarations 367 Syzygies 368 tab 369 tangentcone 370 tensorMod 371 tracemult 372 trapezoid 373 triangL_solve 374 triangM_solve 375 truncate 376 absFactorize 377 absValue 378 Ann 379 attrib 380 attrib_2 381 backward 382 betti 383 betti_BR_PLURAL_BR 384 blowup0 385 closed_points 386 CM_regularity 387 Computation_of_Ext 388 createGroup 389 defring 390 dim_BR_PLURAL_BR 391 dim_slocus 392 dimGradedPart 393 discr 394 elim2 395 elimrep 396 engine 397 ERROR 398 exteriorBasis 399 genericmat 400 GKdim 401 hessenberg 402 Identifier_resolution_1 403 insertGenerator 404 int_expressions 405 intersectMon 406 intPart 407 is_ci 408 is_is 409 is_zero 410 isCommutative 411 isprimeMon 412 IsSCA 413 isWeyl 414 jacoblift 415 laguerre_solve 416 lcmMon 417 linearCombinations 418 luinverse 419 map_operations 420 maxdeg 421 Milnor_and_Tjurina_number 422 mindeg 423 module_operations 424 modulo 425 mstd 426 mtriple 427 multcol 428 pause 429 preimage 430 primes 431 primitive_extra 432 primTest 433 pwalk 1032 qbase 1033 qepcad 1034 qepcadsystem 1035 qhmatrix 434 1036 qhspectrum 435 1037 qhweight 1038 qminor 436 1039 qrds 1040 qring_declaration 1041 qring_declaration_BR_PLURAL_BR 1042 qslimgb 1043 Qso3Casimir 1044 quadraticSieve 1045 quantMat 437 1046 quickclass 1047 _quotient 1048 Quotient 1049 quotient_BR_PLURAL_BR 438 1050 quotientMon 1051 Quotient_rings 1052 rad_con 1053 radical 439 1054 radicalEHV 1055 radicalMon 1056 radicalZ 1057 randcharpoly 440 1058 randlinpoly 1059 random 1060 randomBinomial 1061 randomCheck 441 1062 randomid 442 regMonCurve443 relative_orbit_variety444 remainder445 res446 Return_type_of_procedures447 ring_operations448 Rings_and_standard_bases449 sagbiSPoly450 select1451 setNmzExecPath452 setNmzFilename453 signatureBrieskorn454 signatureLqf455 simplex456 smithNormalForm457 spgamma458 stdfglm459 sturm460 subrInterred461 tensor462 texobj463 triMNewton464 twostd465 unitmat466 updatePairs467 variablesSorted468 varstr469 vector_operations470 addrow471 adjoint472 algebra_containment473 allPositive474 annil475 binomial476 blowUp2477 bracket478 bubblesort479 charexp2conductor480 completeReduction481 concat482 dbprint483 def484 degreepart485 Delta486 diag_test487 dual_code488 elimpart489 encode490 extgcd491 facstd492 Factorization493 fastExpt494 fglm495 gauss_row496 gaussred497 gen498 gmsnf499 GTZmod500 headStand501 hermiteNormalForm502 hilbvec503 iMult504 intersectLattices505 intmat_declarations506 intvec_declarations507 intvec_expressions508 is_complex509 is_irred510 is_NP511 isgenericMon512 isirreducibleMon513 isLocallyFree514 isMonomial515 isprimaryMon516 isTame517 jordan518 KSker519 KSlinear520 lastvarGeneral521 lcmN522 leadmonomial523 LinearizeAction524 list_expressions525 mapall526 matmult527 matrix_expressions528 maxcoef529 maxdeg1530 membershipMon531 milnor532 minAssChar533 mons2intmat534 mpresmat535 multseq2charexp536 ncRelations537 NoetherPosition538 norm539 nres540 nrows541 opentex542 ord543 outer544 par545 parstr546 PartitionVar547 permcol548 poly549 printGroup550 randomCheck551 1063 randomLast 552 1064 randommat 553 Return_type_of_procedures_1 554 rho 555 signatureL 556 sortandmap 557 sortIntvec 558 sparsematrix 559 sparsetriag 560 spectrumnd 561 spgeomgenus 562 spissemicont 563 sppnf 564 symmat 565 symmfunc 566 T_2 567 timestep 568 _tjurina 569 toric_std 570 UpOneMatrix 571 VarToPar 572 wedge 573 weight 574 writeNmzData 575 xchange 576 addcol 577 alg_kernel 578 allsquarefree 579 bareiss 580 boundDes 581 canonize 582 CenterBO 583 centerVS 584 central1st 585 centralizeSet 586 chineseRem 587 coeffmod 588 colrank 589 compress 590 cyclotomic 591 deform 592 degree 593 DeltaList 594 Depth 595 ecart 596 eexgcdN 597 ellipticAdd 598 envelope 599 equidimMax 600 execute 601 extendring 602 farey 603 findTorsion 604 further_hn_proc 605 furtherInvar 606 fwalk 607 group_reynolds 608 Gweights 609 Hcode 610 hilbPoly 611 internalfunctions 612 intersectZ 613 InvariantRing 614 is_NND 615 isCartan 616 isCentral 617 isNC 618 isOnCurve 619 isReg 620 iv2lp 621 LengthSymElement 622 liftstd 623 linearpart 624 localstd 625 locstd 626 mapIsFinite 627 matrixsystem 628 maximum 629 minbase 630 MinimalDecomposition 631 mod2id 632 Module_orderings 633 monomial 634 multi 635 number_expressions 636 oneDimBelongSemigroup 637 package_declarations 638 pdivi 639 permute_L 640 printlevel 641 pyramid 642 qbase 643 radicalMon 644 reverse 645 rightKernel 646 select 647 semiCMcod2 648 simplexOut 649 spmul 650 string_type_cast 651 sum 652 swap 653 sym_gauss 654 symmetricPower 655 texfactorize 656 Tor 657 U_D_O 658 view 659 weierstrDiv 660 writeNmzPaths 661 ademRelations 662 AltVarStart 663 appelF1 664 areZeroElements 665 awalk2 666 blowUpBO 667 busadj 668 centerRed 669 closureFrac 670 control 671 controlExample 672 decoef 673 displayHNE 674 equidim 675 equiRadical 676 Exterior 677 exteriorPower 678 factorize 679 findimAlgebra 680 findvars 681 fitting 682 fprintf 683 gaussred_pivot 684 generalOrder 685 gmscoeffs 686 heightZ 687 Hom 688 hom_kernel 689 homology 690 identifyvar 691 image_of_variety 692 ImageVariety 693 imap_BR_PLURAL_BR 694 intersect_BR_PLURAL_BR 695 inverse_B 696 is_bijective 697 is_nested 698 is_regs 699 is_surjective 700 isIntegralSurjective 701 ivL2lpI 702 KSconvert 703 lex_solve 704 link_declarations 705 log2 706 lres 707 ludecomp 708 makeWeyl 709 mindeg1 710 minres 711 molien 712 mp_res_mat 713 newtonDiag 714 npars 715 number_declarations 716 number_operations 717 preComp 718 primary_charp_without 719 primary_charp_without_random 720 prime 721 primitive 722 primL 723 product 724 productgroup 725 quantMat 726 reiffen 727 rightNF 728 sa_poly_reduce 729 sameComponent 730 semidiv 731 separator 732 setBaseMultigrading 733 singularity 734 sppprint 735 stdhilb 736 string 737 StringF 738 stripHNE 739 sturmha 740 substitute 741 sys_code 742 texmap 743 UpperMonomials 744 vector_declarations 745 vector_expressions 746 weierstrPrep 747 weightKB 748 Writing_procedures_and_libraries 749 zerodec 750 zeroMod 751 actionIsProper 752 annfs 753 appelF4 754 arrange 755 basicinvariants 756 BlowingUp 757 blowUp 758 cleanunit 759 content 760 cornerMonomials 761 createBO 762 dec1var 763 decimal 764 defringp 765 deleteSublist 766 develop 767 DLoc0 768 equalMultiDeg 769 errormap 770 fetchall 771 finitenessTest 772 flatteningStrat 773 freerank 774 generateG 775 genericid 776 genericity 777 genMDSMat 778 getGradingGroup 779 getLattice 780 getVariableWeights 781 Graded_commutative_algebras__SCA_ 782 gradiator 783 HomJJ 784 ideal_expressions 785 ideal_expressions_BR_PLURAL_BR 786 imageLattice 787 inForm 788 initialIdealW 789 invunit 790 iostruct 791 isGroup 792 isGroupHomomorphism 793 Jacobi 794 KoszulHomology 795 leftInverse 796 leftKernel 797 LengthSym 798 list_declarations 799 makeUg2 800 mat_rk 801 matrixT1 802 midpoint 803 milnorcode 804 Min 805 mres 806 nc_algebra 807 numerator 808 partial_molien 809 PH_ais 810 powersums 811 powerX 812 preimageLoc 813 primdecSY 814 projectLattice 815 puiseux2generators 816 Quotient 817 randcharpoly 1065 rank 1066 rationalPointConic 1067 read 1068 realpoly 1069 realrad 1070 realzero 1071 reduce 1072 reduce_BR_PLURAL_BR 818 1073 reduction 819 1074 ReesAlgebra 820 1075 regIdeal 1076 regMonCurve 1077 regularity 1078 reiffen 1079 relative_orbit_variety 1080 rel_orbit_variety 1081 relweight 1082 remainder 1083 removepower 1084 repart 821 1085 replace 1086 res 1087 reservedName 1088 resfunction 1089 reslist 1090 resolution_declarations 1091 resolution_declarations_BR_PLURAL_BR 1092 resolutiongraph 1093 Resolution_of_singularities 1094 resolve 1095 restrictionIdeal 1096 restrictionModule 1097 resultant 1098 Return_type_of_procedures 1099 Return_type_of_procedures_1 1100 reverse 1101 reynolds_molien 1102 rho 1103 Right_Groebner_bases_and_syzygies 1104 rightInverse 1105 rightKernel 1106 rightModulo 1107 rightNF 1108 rightStd 1109 ringlist 1110 ringlist_BR_PLURAL_BR 1111 ring_operations 1112 ring_operations_BR_PLURAL_BR 1113 Rings_and_standard_bases 1114 Rings_associated_to_monomial_orderings 822 1115 ringtensor 823 1116 ringweights 1117 rMacaulay 1118 rmNmzFiles 824 1119 rm_unitcol 825 rmNmzFiles 826 rowred 827 sagbiReduce 828 Sannfslog 829 sat 830 separateHNE 831 SymGroup 832 tail 833 texcoef 834 texring 835 Weyl 836 zeroOpt 837 autonomDim 838 babyGiant 839 calculateI 840 colred 841 createTorsionFreeGroup 842 defrings 843 dimH 844 DLoc 845 Elimination 846 expo 847 Ext 848 flatten 849 gcdMon 850 getSmallest 851 gmsring 852 intRoots 853 inverse 854 inverse_L 855 isPrimitiveSublattice 856 isSublattice 857 iv2lpList 858 linear_relations 859 list_operations 860 listvar 861 locAtZero 862 lprint 863 lusolve 864 makeModElimRing 865 map_declarations_BR_PLURAL_BR 866 matbil 867 minEcart 868 monomialLcm 869 morsesplit 870 multrow 871 NFMora 872 npar 873 opposite 874 pairset 875 powerpolyX 876 preimageLattice 877 primList 878 rel_orbit_variety 879 rightInverse 880 rightModulo 881 spnf 882 spoly 883 syndrome 884 T_1 885 TRACE 886 vec2poly 887 A_L 888 absPrimdecGTZ 889 annfspecial 890 autonom 891 _center 892 centralizer 893 centralizerVS 894 CentralSaturation 895 convloc 896 coords 897 corank 898 createQuotientGroup 899 defineHomogeneous 900 _depth 901 displayInvariants 902 evaluate_reynolds 903 factorgroup 904 factorial 905 forward 906 fourier 907 getOneVar 908 iniD 909 intersection 910 isCMcod2 911 isFlat 912 lift_kbase 913 linearMapKernel 914 makeMalgrange 915 makeUf4 916 makeUso6 917 makeUso8 918 makeUso9 919 minbaseMon 920 multiDegModulo 921 multiDegTensor 922 Nonhyp 923 PH_nais 924 powerN 925 primary_charp_no_molien 926 Qso3Casimir 927 regularity 928 reslist 1120 rm_unitrow 1121 rncAntiCanonicalMap 1122 rncItProjEven 1123 rncItProjOdd 1124 rootofUnity 929 1125 roots 930 1126 rootsModp 931 1127 round 1128 rowred 1129 rvar 1130 sagbi 1131 sagbiPart 1132 sagbiReduce 1133 sagbiSPoly 1134 salida 1135 sameComponent 1136 Sannfs 1137 SannfsBFCT 1138 Sannfslog 1139 SannfsVar 1140 sa_poly_reduce 1141 sa_reduce 1142 sat 1143 satiety 1144 Saturation 1145 scalarProd 1146 scheme 1147 Schoof 932 1148 SDLoc 1149 secondary_and_irreducibles_no_molien 1150 secondary_char0 1151 secondary_charp 1152 secondary_no_molien 1153 secondary_not_cohen_macaulay 1154 select 1155 select1 1156 semiCMcod2 1157 semidiv 1158 semigroup 1159 separateHNE 1160 separator 933 1161 serreRelations 1162 setBaseMultigrading 1163 setinitials 934 1164 setLetterplaceAttributes 935 1165 setModuleGrading 1166 setNmzDataPath 1167 setNmzExecPath 1168 setNmzFilename 1169 setNmzOption 1170 setring 1171 ShanksMestre 1172 sheafCoh 1173 sheafCohBGG 1174 short 1175 show 1176 showNmzOptions 1177 showrecursive 1178 signatureBrieskorn 1179 signatureL 1180 signatureLqf 1181 signcnd 1182 simplex 1183 simplexOut 1184 simplify 1185 singularity 1186 size 1187 skewmat 1188 slimgb 936 1189 slimgb_BR_PLURAL_BR 1190 slim_Groebner_bases 1191 slocus 1192 smith 1193 smithNormalForm 937 1194 SolowayStrassen 1195 solutionsMod2 1196 solve 1197 solve_IP ; needs solve_IP! 1198 solvelinearpart 1199 Solving_systems_of_polynomial_equations 1200 sort 1201 sortandmap 1202 sortier 1203 sortIntvec 1204 sortvars 1205 sortvec 1206 spadd 1207 sparseHomogIdeal 1208 sparseid 1209 sparsemat 1210 sparsematrix 1211 sparsepoly 1212 sparsetriag 1213 spectralNeg 1214 spectrum 1215 spectrumnd 1216 spgamma 1217 spgeomgenus 1218 spissemicont 1219 split 1220 splitring 1221 splitting 938 1222 spmilnor 1223 spmul 1224 spnf 1225 spoly 1226 sppairs 1227 sppnf 1228 sppprint 1229 spprint 1230 sprintf 1231 spsemicont 1232 spsub 1233 sqfrNorm 1234 sqr 1235 sqrfree 1236 squarefree 1237 squareRoot 939 1238 sres 1239 Ssi_file_links 1240 Ssi_tcp_links 1241 StabEqn 940 1242 StabEqnId 1243 standard 1244 startNmz ; needs normaliz! 1245 status 1246 std 1247 std_BR_PLURAL_BR 1248 stdfglm 1249 stdhilb 1250 string 1251 string_declarations 1252 string_expressions 1253 StringF 1254 string_operations 1255 string_type_cast 1256 stripHNE 1257 sturm 1258 sturmha 1259 sturmhaseq 1260 sturmquery 1261 sturmseq 1262 submat 1263 subrInterred 1264 subst 1265 subst_BR_PLURAL_BR 1266 substitute 1267 sum 1268 sumlist 941 1269 superCommutative 1270 swap 1271 sym_gauss 1272 SymGroup 1273 symmat 942 1274 symmetricBasis 1275 symmetricPower 1276 symmfunc 1277 symsignature 1278 syndrome 1279 sysBin 1280 sys_code 943 1281 sysCRHT 1282 sysCRHTMindist 1283 sysFL 1284 sysNewton 1285 sysQE 1286 syz 1287 syz_BR_PLURAL_BR 1288 Syzygies 1289 T_1 1290 T_12 1291 T1_and_T2 1292 T_2 1293 tab 1294 tail 1295 tangentcone 1296 tau_es 1297 tau_es2 1298 tensor 1299 tensorMod 1300 testNCfac 1301 testParametrization 944 1302 testPointConic 945 1303 testPrimary 1304 texcoef 1305 texfactorize 1306 texmap 1307 texname 1308 texobj 1309 texpoly 1310 texproc 1311 texring 1312 timeFactorize 1313 timestep 1314 _tjurina 946 1315 Tjurina 1316 tmatrix 1317 tolessvars 1318 Tor 1319 toric_ideal 1320 toric_std 1321 totalmultiplicities 1322 _trace 1323 TRACE 1324 tracemult 1325 Tracing_of_procedures 1326 transpose 1327 trapezoid 1328 triagmatrix 1329 triangLf_solve 1330 triangL_solve 1331 triangM_solve 1332 triang_solve 1333 triMNewton 1334 truncate 1335 truncateFast 1336 twalk 1337 twostd 1338 type 1339 Type_casting 1340 typeof 1341 u 1342 U_D_O 1343 unitmat 1344 univariate 1345 univarpoly 1346 updatePairs 1347 UpOneMatrix 1348 UpperMonomials 1349 ures_solve 1350 valvars 1351 vandermonde 947 1352 vanishId 1353 var 1354 variables 1355 variablesSorted 1356 variablesStandard 1357 varsigns 1358 varstr 1359 VarToPar 1360 vdim 1361 vdim_BR_PLURAL_BR 1362 vec2poly 1363 vector_declarations 1364 vector_expressions 1365 vector_operations 1366 verify 1367 versal 1368 vfilt 1369 view 948 1370 visualize 949 annfs2 950 annPoly 951 bernsteinBM 952 centralizerRed 953 CentralQuot 954 classify 955 controlDim 956 cyclic 957 Deformations 958 deleteGenerator 959 division_BR_PLURAL_BR 960 Ext_R 961 Finite_fields 962 GTZopt 963 IntersectWithSub 964 invariant_algebra_perm 965 invariant_basis 966 inverseFourier 967 isGradedRingHomomorphism 968 isHolonomic 969 isInt 970 isPositive 971 isZeroElement 972 iv2lpMat 973 lift_rel_kb 974 liftstd_BR_PLURAL_BR 975 _lll 976 localInvar 977 lp2ivId 978 lpMonomialPrinting 979 lpGkDim 980 magnitude 981 makeHeisenberg 982 makeUgl 983 makeUsl2 984 makeUso5 985 makeUsp2 986 makeUsp4 987 Maxord 988 minpoly 989 module_containment 990 modulo_BR_PLURAL_BR 991 moduloSlim 992 multiDegSyzygy 993 ndcond 994 newTest 995 pos_def 996 primary_invariants_random 997 primdecGTZ 998 primitiveSpan 999 qminor 1000 quotient_BR_PLURAL_BR 1001 radical 1002 rightStd 1003 ring_operations_BR_PLURAL_BR 1004 rm_unitrow 1005 rootofUnity 1006 sa_reduce 1007 scalarProd 1008 subst_BR_PLURAL_BR 1009 sumlist 1010 syz_BR_PLURAL_BR 1011 T1_and_T2 1012 T_12 1013 versal 1371 voice 1372 vwfilt 1373 wedge 1374 Weierstrass 1375 weierstrDiv 1376 weierstrPrep 1377 weight 1014 1378 weightedRing 1379 weightKB 1380 Weyl 1381 whichvariable 1382 writeNmzData 1383 writeNmzPaths 1384 Writing_procedures_and_libraries 1015 1385 WSemigroup 1386 wUnit 1387 wurzel 1388 xchange 1389 zerodec 1390 zeroMod 1391 zeroOpt 1392 zeroRadical 1016 1393 zeroSet 1017 annfs01018 appelF21019 charexp2poly1020 createGradedRingHomomorphism1021 depthIdeal1022 factorH1023 fastelim1024 fullSerreRelations1025 H2basis1026 invariant_basis_reynolds1027 isAntiEndo1028 isRational1029 isTorsionFree1030 linSyzSolve1031 map_BR_PLURAL_BR_operations1032 maxEord1033 minipoly1034 minres_BR_PLURAL_BR1035 mod_versal1036 ModEqn1037 ncdetection1038 nf_icis1039 noetherNormal1040 nonZeroEntry1041 nrroots1042 nselect1043 oppose1044 orbit_variety1045 Polar_curves1046 power_products1047 reynolds_molien1048 sagbi1049 SannfsVar1050 scheme1051 secondary_charp1052 slocus1053 std_BR_PLURAL_BR1054 sysNewton1055 sysQE1056 Tracing_of_procedures1057 annRat1058 CenCharDec1059 charexp2inter1060 checkFactor1061 checkRoot1062 CurveRes1063 ECoef1064 extdevelop1065 factmodd1066 Free_resolution1067 GKZsystem1068 integralIdeal1069 invariant_algebra_reynolds1070 Invariants_of_plane_curve_singularities1071 involution1072 isFsat1073 makeQsl21074 makeUsp11075 mres_BR_PLURAL_BR1076 multiDegPartition1077 newtonpoly1078 normalize1079 primary_char0_no_molien1080 primary_char0_random1081 primary_charp1082 primary_invariants1083 sagbiPart1084 satiety1085 secondary_no_molien1086 secondary_not_cohen_macaulay1087 StabEqn1088 totalmultiplicities1089 annfsRB1090 convertdata1091 createlist1092 dividelist1093 equidimZ1094 fetch_BR_PLURAL_BR1095 fglm_solve1096 fl2poly1097 fouriersystem1098 GBWeight1099 getModuleGrading1100 invariants1101 lieBracket1102 lp2iv1103 makeQsl31104 makeUso71105 minAssGTZ1106 mindist1107 multiplylist1108 nonMonomials1109 nt_solve1110 poly2list1111 posweight1112 preimage_BR_PLURAL_BR1113 primary_char0_no_molien_random1114 primary_charp_no_molien_random1115 primary_charp_random1116 pushForward1117 Right_Groebner_bases_and_syzygies1118 Sannfs1119 Saturation1120 secondary_and_irreducibles_no_molien1121 sturmquery1122 symsignature1123 verify1124 ArnoldAction1125 charVariety1126 cup1127 divideUnits1128 exp2pt1129 Gamma1130 irred_secondary_no_molien1131 isCM1132 makeUsl1133 makeUsp31134 makeUsp51135 multiDeg1136 normalform1137 prepareAss1138 restrictionIdeal1139 secondary_char01140 annfsParamBM1141 bFactor1142 bfctVarIn1143 countPoints1144 findAuto1145 findInvoDiag1146 invariant_ring1147 letterplace_std1148 lpMonomialBasis1149 linReduceIdeal1150 lpId2ivLi1151 lpKDim1152 makeLetterplaceRing1153 makeUso111154 number_pi1155 primary_char01156 restrictionModule1157 smith1158 spsemicont1159 Basic_programming1160 bernstein1161 bfctVarAnn1162 displayMultsequence1163 Edatalist1164 Emaxcont1165 freeGBasis1166 goodBasis1167 integralModule1168 invariant_ring_random1169 Invariants_of_a_finite_group1170 isCI1171 isInvolution1172 linReduce1173 makeQso31174 makeUso101175 makeUso121176 minIntRoot1177 number_e1178 operatorModulo1179 param1180 PrimdecB1181 resfunction1182 zeroRadical1183 bernsteinLift1184 determinecenter1185 Gauss-Manin_connection_11186 KSpencerKernel1187 makeUe61188 orthogonalize1189 pIntersect1190 Adj_div1191 annfsBMI1192 EOrdlist1193 findInvo1194 _invariantRing1195 lpHilbert1196 lpLmDivisible1197 sheafCoh1198 sheafCohBGG1199 charInfo1200 _delta1201 G_a_-Invariants1202 multiDegGroebner1203 multsequence1204 nres_BR_PLURAL_BR1205 sppairs1206 alexanderpolynomial1207 deltaLoc1208 esStratum1209 Example_of_use_of_@sc{Letterplace}1210 findifs_example1211 Gauss-Manin_connection1212 lcmofall1213 lpKDimCheck1214 modDec1215 nashmult1216 normalI1217 PrimdecA1218 spectrum1219 vwfilt1220 constructH1221 lpSickleDim1222 monodromyB1223 semigroup1224 signcnd1225 sqr1226 sysFL1227 wurzel1228 belongSemigroup1229 Blowupcenter1230 changeDenominator1231 hnexpansion1232 sysCRHTMindist1233 bfctIdeal1234 computemcm1235 cupproduct1236 isHomogeneous1237 jacobson1238 minAssZ1239 monodromy1240 pIntersectSyz1241 primeClosure1242 resolutiongraph1243 testNCfac1244 tmatrix1245 vfilt1246 integralBasis1247 rationalPointConic1248 ShanksMestre1249 bfctSyz1250 constructlastblwup1251 difpoly2tex1252 Groebner_basis_conversion1253 makeUe71254 MillerRabin1255 tau_es21256 Classification_of_hypersurface_singularities1257 constructblwup1258 nrRootsDeterm1259 slim_Groebner_bases1260 endvfilt1261 genoutput1262 lpNF1263 radicalZ1264 firstoct1265 hilbertSeries1266 initialMalgrange1267 Primary_decomposition1268 proximitymatrix1269 qepcad1270 qepcadsystem1271 jOft1272 multiDegResolution1273 decodeCode1274 all_lib1275 normalP1276 modStd1277 bfct1278 decodeRandomFL1279 Normalization1280 rncItProjOdd1281 Branches_of_space_curve_singularities1282 tau_es1283 AGcode_Omega1284 CurveParam1285 groebner_and_std1286 pFactor1287 AGcode_L1288 normalC1289 NSplaces1290 salida1291 algebraicDependence1292 facGBIdeal1293 jungfib1294 BrillNoether1295 nrRootsProbab1296 esIdeal1297 extcurve1298 factorLenstraECM1299 normal1300 BINresol1301 operatorBM1302 decodeRandom1303 decode1304 Eresol1305 norTest1306 Weierstrass1307 ellipticAllPoints1308 isEquising1309 psigncnd1310 disc1311 primdecZ1312 irreddecMon1313 decodeSV1314 solve1315 prepSV1316 cgs1317 sysBin1318 makeUe81319 euler1320 realzero1321 Solving_systems_of_polynomial_equations1322 adjointIdeal1323 idealSplit1324 resolve1325 HilbertClassPoly1326 standard1327 primdecMon1328 mapToRatNormCurve1329 testParametrization1330 realpoly1331 rncAntiCanonicalMap1332 rncItProjEven1333 invertBirMap1334 paraConic1335 irred_secondary_char01336 jungnormal1337 deRhamCohom1338 deRhamCohomIdeal1339 realrad1340 abstractR1341 jungresolve1342 discrepancy1343 perron1344 homogfacFirstQWeyl_all1345 homogfacFirstQWeyl1346 rank1347 collectDiv1348 Schoof1349 paraPlaneCurve1350 intersectionDiv1351 bfctOneGB1352 facFirstWeyl1353 prepEmbDiv1354 facSubWeyl1355 AG_codes1356 Resolution_of_singularities1357 quadraticSieve1358 assPrimes1359 facFirstShift1360 spectralNeg1361 SannfsBFCT1362 startNmz ; needs normaliz!1363 solve_IP ; needs solve_IP!1364 ellipticcovers1365 multiDegBasis1366 graver4ti21367 hilbert4ti21368 markov4ti21369 -
kernel/GBEngine/kutil.cc
ra507140 rfe09a23 12789 12789 12790 12790 int degbound = currRing->N/currRing->isLPring; 12791 int neededShift = p_lastVblock - 1;12791 int neededShift = p_lastVblock - ((pGetComp(p) > 0 || pGetComp(q) > 0) ? 0 : 1); // in the module case, product criterion does not hold 12792 12792 int maxPossibleShift = degbound - q_lastVblock; 12793 12793 int maxShift = si_min(neededShift, maxPossibleShift); … … 12844 12844 #endif 12845 12845 { 12846 assume(q_shift <= p_lastVblock - 1); // there should be an overlap12846 assume(q_shift <= p_lastVblock - ((pGetComp(q) > 0 || pGetComp(p) > 0) ? 0 : 1)); // there should be an overlap (in the module case epsilon overlap is also allowed) 12847 12847 enterOnePairShift(q, p, ecartp, p_isFromQ, strat, -1, ecartq, q_isFromQ, q_shift, -1); 12848 12848 } … … 13283 13283 poly s = strat->S[j]; 13284 13284 int s_lastVblock = pmLastVblock(s); 13285 if (i < s_lastVblock )13285 if (i < s_lastVblock || (pGetComp(s) > 0 && i == s_lastVblock)) // in the module case, product criterion does not hold (note: comp h is always zero here) 13286 13286 enterOnePairWithoutShifts(j, hh, s, ecart, isFromQ, strat, atR, s_lastVblock, i); 13287 13287 #ifdef HAVE_RINGS … … 13320 13320 poly s = strat->S[j]; 13321 13321 int s_lastVblock = pmLastVblock(s); 13322 if (i < s_lastVblock )13322 if (i < s_lastVblock || (pGetComp(s) > 0 && i == s_lastVblock)) // in the module case, product criterion does not hold (note: comp h is always zero here) 13323 13323 enterOnePairWithoutShifts(j, hh, s, ecart, isFromQ, strat, atR, s_lastVblock, i); 13324 13324 #ifdef HAVE_RINGS … … 13336 13336 #endif 13337 13337 } 13338 if (i < h_lastVblock) 13338 if (i < h_lastVblock) // in the module case, product criterion does not hold (note: comp h is always zero here) 13339 13339 enterOnePairWithoutShifts(-1, hh, h, ecart, isFromQ, strat, atR, h_lastVblock, i); 13340 13340 #ifdef HAVE_RINGS … … 13383 13383 // pairs (shifts(s[1..k]),h), (s[1..k],h) 13384 13384 for (j=0; j<=k; j++) 13385 13385 { 13386 13386 if ((pGetComp(h)==pGetComp(strat->S[j])) 13387 13387 || (pGetComp(strat->S[j])==0)) … … 13402 13402 poly s = strat->S[j]; 13403 13403 int s_lastVblock = pmLastVblock(s); 13404 if (i < s_lastVblock)13404 if (i <= s_lastVblock) // in the module case, product criterion does not hold 13405 13405 enterOnePairWithoutShifts(j, hh, s, ecart, isFromQ, strat, atR, s_lastVblock, i); 13406 13406 #ifdef HAVE_RINGS … … 13419 13419 } 13420 13420 } 13421 if (i < h_lastVblock)13421 if (i <= h_lastVblock) // in the module case, product criterion does not hold 13422 13422 enterOnePairWithoutShifts(-1, hh, h, ecart, isFromQ, strat, atR, h_lastVblock, i); 13423 13423 #ifdef HAVE_RINGS -
kernel/ideals.cc
ra507140 rfe09a23 2323 2323 //Print("weights:");wtmp->show(1);PrintLn(); 2324 2324 } 2325 for (i=0;i<IDELEMS(h2);i++) 2326 { 2327 temp->m[i] = pCopy(h2->m[i]); 2328 q = pOne(); 2329 pSetComp(q,i+1+length); 2330 pSetmComp(q); 2331 if(temp->m[i]!=NULL) 2332 { 2333 if (slength==0) p_Shift(&(temp->m[i]),1,currRing); 2334 p = temp->m[i]; 2335 while (pNext(p)!=NULL) pIter(p); 2336 pNext(p) = q; // will be sorted later correctly 2337 } 2338 else 2339 temp->m[i]=q; 2325 #ifdef HAVE_SHIFTBBA 2326 if (rIsLPRing(currRing)) 2327 { 2328 for (i=0;i<IDELEMS(h2);i++) 2329 { 2330 temp->m[i] = pCopy(h2->m[i]); 2331 q = pOne(); 2332 // non multiplicative variable 2333 pSetExp(q, currRing->isLPring - currRing->LPncGenCount + i + 1, 1); 2334 p_Setm(q, currRing); 2335 pSetComp(q,i+1+length); 2336 pSetmComp(q); 2337 if(temp->m[i]!=NULL) 2338 { 2339 if (slength==0) p_Shift(&(temp->m[i]),1,currRing); 2340 p = temp->m[i]; 2341 temp->m[i] = pAdd(p, q); 2342 } 2343 else 2344 temp->m[i]=q; 2345 } 2346 } 2347 else 2348 #endif 2349 { 2350 for (i=0;i<IDELEMS(h2);i++) 2351 { 2352 temp->m[i] = pCopy(h2->m[i]); 2353 q = pOne(); 2354 pSetComp(q,i+1+length); 2355 pSetmComp(q); 2356 if(temp->m[i]!=NULL) 2357 { 2358 if (slength==0) p_Shift(&(temp->m[i]),1,currRing); 2359 p = temp->m[i]; 2360 while (pNext(p)!=NULL) pIter(p); 2361 pNext(p) = q; // will be sorted later correctly 2362 } 2363 else 2364 temp->m[i]=q; 2365 } 2340 2366 } 2341 2367 rk = k = IDELEMS(h2);
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