Changeset 9a03c2d in git

Timestamp:

Mar 9, 2018, 1:35:32 PM (5 years ago)

Author:

Karim Abou Zeid <karim23697@…>

Branches:

(u'spielwiese', '0d6b7fcd9813a1ca1ed4220cfa2b104b97a0a003')

Children:

7b12a30e21c5626e320d213a12828d1a2dbc6084

Parents:

1af34f3a9d6f48f7bc59d937c310ee496a6c725859b9fdb6e4914ed681cc7907561abf9361bae474

Message:

Merge branch 'spielwiese' into stable

Files:

• Singular/LIB/arr.lib (modified) (1 diff)
• Singular/LIB/autgradalg.lib (modified) (8 diffs)
• Singular/LIB/fpadim.lib (modified) (2 diffs)
• Singular/LIB/fpaprops.lib (modified) (1 diff)
• Singular/LIB/freegb.lib (modified) (1 diff)
• Singular/LIB/goettsche.lib (modified) (9 diffs)
• Singular/LIB/multigrading.lib (modified) (2 diffs)
• Singular/LIB/schreyer.lib (modified) (5 diffs)
• Singular/LIB/sing4ti2.lib (modified) (3 diffs)
• Singular/dyn_modules/gfanlib/bbcone.cc (modified) (2 diffs)
• Singular/dyn_modules/syzextra/test.sh (modified) (1 diff)
• Singular/extra.cc (modified) (1 diff)
• Singular/grammar.cc (modified) (17 diffs)
• Singular/grammar.y (modified) (3 diffs)
• Singular/iparith.cc (modified) (1 diff)
• Singular/links/asciiLink.cc (modified) (1 diff)
• Singular/misc_ip.cc (modified) (1 diff)
• Singular/table.h (modified) (1 diff)
• Singular/tesths.cc (modified) (2 diffs)
• Tst/Long/eliminate_2.res.gz.uu (modified) (1 diff)
• Tst/Long/eliminate_2.stat (modified) (1 diff)
• Tst/Long/eliminate_6.res.gz.uu (modified) (1 diff)
• Tst/Long/eliminate_6.stat (modified) (1 diff)
• Tst/Long/eliminate_8.res.gz.uu (modified) (1 diff)
• Tst/Long/eliminate_8.stat (modified) (1 diff)
• Tst/Short/bug_12.res.gz.uu (modified) (2 diffs)
• Tst/Short/bug_12.stat (modified) (1 diff)
• Tst/Short/eliminate_1.res.gz.uu (modified) (1 diff)
• Tst/Short/eliminate_1.stat (modified) (1 diff)
• Tst/Short/eliminate_3.res.gz.uu (modified) (1 diff)
• Tst/Short/eliminate_3.stat (modified) (1 diff)
• Tst/Short/eliminate_4.res.gz.uu (modified) (1 diff)
• Tst/Short/eliminate_4.stat (modified) (1 diff)
• Tst/Short/eliminate_5.res.gz.uu (modified) (1 diff)
• Tst/Short/eliminate_5.stat (modified) (1 diff)
• Tst/Short/eliminate_7.res.gz.uu (modified) (1 diff)
• Tst/Short/eliminate_7.stat (modified) (1 diff)
• doc/NEWS.texi (modified) (1 diff)
• doc/reference.doc (modified) (previous)
• factory/cf_factory.h (modified) (1 diff)
• kernel/GBEngine/janet.cc (modified) (1 diff)
• kernel/GBEngine/kInline.h (modified) (1 diff)
• kernel/GBEngine/kstd2.cc (modified) (3 diffs)
• kernel/GBEngine/kstdfac.cc (modified) (1 diff)
• kernel/GBEngine/kutil.cc (modified) (1 diff)
• kernel/GBEngine/shiftgb.cc (modified) (1 diff)
• kernel/GBEngine/tgb.cc (modified) (45 diffs)
• kernel/GBEngine/tgb_internal.h (modified) (3 diffs)
• kernel/combinatorics/hilb.cc (modified) (3 diffs)
• kernel/ideals.cc (modified) (5 diffs)
• kernel/ideals.h (modified) (1 diff)
• libpolys/polys/kbuckets.cc (modified) (12 diffs)
• libpolys/polys/monomials/p_polys.cc (modified) (3 diffs)
• libpolys/polys/monomials/p_polys.h (modified) (10 diffs)
• libpolys/polys/pDebug.cc (modified) (1 diff)
• libpolys/polys/sbuckets.cc (modified) (1 diff)
• libpolys/polys/simpleideals.cc (modified) (1 diff)
• libpolys/polys/simpleideals.h (modified) (1 diff)

Singular/LIB/arr.lib

@@ -1340 +1340 @@
             after a tranformation x -> Tx + c we have the arrangement has the matrix representation
             [AT^-1|b+AT^-1c] such that [AT^-1]_v = I and [b+AT^-1c]_v = 0;
-NOTE:       algorith performs a base change if H_k is homogenous (i.e. has no)
+NOTE:       algorithm performs a base change if H_k is homogenous (i.e. has no)
             constant term and an affine transformation otherwise
             Ax+b = 0, Transformation x = Ty+c: AT^-1y + AT^-1c + b = 0

Singular/LIB/autgradalg.lib

@@ -1 +1 @@
 ////////////////////////////////////////////////////////////////////////////////
-version="version autgradalg.lib 4.1.1.0 Dec_2017 "; //$Id$
+version="version autgradalg.lib 4.1.1.1 Feb_2018 "; // $Id$
 category="Commutative Algebra, Algebraic Geometry";
 info="
@@ -27 +27 @@
 autX(I0, w, TOR): compute the automorphism group of X=X(R,w) as an algebraic subgroup V(I) of some GL(n).
 
-NOTE: the following functions were taken from 'quotsingcox.lib' by M.Donten-Bury and S.Keicher: 'hilbBas'.
+NOTE: the following functions were taken from 'quotsingcox.lib' by M.Donten-Bury and S.Keicher: 'hilbertBas'.
+NOTE: This library comes without any warranty whatsoever. Use it at your own risk.
 
 KEYWORDS: automorphisms; graded algebra; Mori dream spaces; automorphism group; symmetries
@@ -301 +302 @@
     } else {
       // if delta is not in cQ, then there is no monomial of this degree:
-      if(containsInSupportOld(cQ, delta)){
+      if(containsInSupport(cQ, delta)){
         // calculate all monomials of degree delta
         list deltaMON = wmonomials(delta, 0, TOR);
@@ -659 +660 @@
       for(k = 1; k <= size(DL); k++){
         intmat A = concatBCD(AUT0[i], CL[j], DL[k]);
+
         // M * Origs = Origs?:
         if(fixesOrig(A, Origs, OrigDim, TOR)){
@@ -2972 +2974 @@
 // compute generators for the veronese subalgebra
 static proc veron(intmat P){
-  cone V = linearHull(P);//coneViaPoints(M);
+  // linear hull of P:
+  intmat Pplusminus[2*nrows(P)][ncols(P)] = P, -P;
+
+  cone V = coneViaPoints(Pplusminus);
   cone posorth = coneViaPoints(getIdMat(ambientDimension(V)));
   cone c = convexIntersection(V, posorth);
@@ -3046 +3051 @@
 example
 {
-  echo=2;
-
-  /////////////
-  // PP2
-//  intmat Q[1][4] =
-//    1,1,1,1;
-//
-//  ring R = 0,T(1..ncols(Q)),dp;
-//
-//  // attach degree matrix Q to R:
-//  setBaseMultigrading(Q);
-//  ideal I = 0;
-//  intvec w0 = 1;
-//
-//  def RR = autX(I, w0);
-//  setring RR;
-//  Iexported;
-//
-//  basering;
-//  dim(std(Iexported));
-//
-//  kill RR, Q, R;
-//
-//  quit;
-//  /////////////
-//  // example 3.14 from the paper
-//  intmat Q[3][5] =
-//    1,1,1,1,1,
-//    1,-1,0,0,1,
-//    1,1,1,0,0;
-//
-//  list TOR = 2;
-//  ring R = 0,T(1..5),dp;
-//
-//  // attach degree matrix Q to R:
-//  setBaseMultigrading(Q);
-//
-//  ideal I = T(1)*T(2) + T(3)^2 + T(4)^2;
-//  list TOR = 2;
-//
-//  intvec w0 = 2,1,0;
-//  def RR = autX(I, w0, TOR);
-//  setring RR;
-//
-//  kill RR, Q, R;
+  ///////////////
+  //// CAREFUL: the following examples seems to be unfeasible at the moment, see remark in the paper
+
+  //echo=2;
+  ///////////////
+  //// PP2
+  //intmat Q[1][4] =
+  //  1,1,1,1;
+
+  //ring R = 0,T(1..ncols(Q)),dp;
+
+  //// attach degree matrix Q to R:
+  //setBaseMultigrading(Q);
+  //ideal I = 0;
+  //intvec w0 = 1;
+
+  //def RR = autX(I, w0);
+  //setring RR;
+  //Iexported;
+
+  //basering;
+  //dim(std(Iexported));
+
+  //kill RR, Q, R;
+
+  ///////////////
+  //// example 3.14 from the paper
+  //intmat Q[3][5] =
+  //  1,1,1,1,1,
+  //  1,-1,0,0,1,
+  //  1,1,1,0,0;
+
+  //list TOR = 2;
+  //ring R = 0,T(1..5),dp;
+
+  //// attach degree matrix Q to R:
+  //setBaseMultigrading(Q);
+
+  //ideal I = T(1)*T(2) + T(3)^2 + T(4)^2;
+  //list TOR = 2;
+
+  //intvec w0 = 2,1,0;
+  //def RR = autX(I, w0, TOR);
+  //setring RR;
+
+  //kill RR, Q, R;
 }
 
@@ -3111 +3117 @@
     1,3;
 
-  intmat B = hilbBas(coneViaPoints(A));
+  intmat B = hilbertBas(coneViaPoints(A));
   print(B);
 
@@ -3120 +3126 @@
     6, 3, 4, 2;
 
-  intmat D = hilbBas(coneViaPoints(C));
+  intmat D = hilbertBas(coneViaPoints(C));
   print(D);
 

Singular/LIB/fpadim.lib

@@ -2385 +2385 @@
   ivMaxIdeal(2,0);
   ivMaxIdeal(2,1);
-  ivMaxIdeal(4,0);
-  ivMaxIdeal(4,1);
 }
 
@@ -2408 +2406 @@
   lpMaxIdeal(2,0);
   lpMaxIdeal(2,1);
-  lpMaxIdeal(4,0);
-  lpMaxIdeal(4,1);
 }
 

Singular/LIB/fpaprops.lib

@@ -605 +605 @@
             maxCycleCount = cycleCount;
           }
+          kill cycleCount;
           if (path[j] == w) {
             break;
           }
-          kill cycleCount;
         } kill j;
         if (maxCycleCount >= cycles) {

Singular/LIB/freegb.lib

@@ -976 +976 @@
 "
 {
-  int alternativeVersion = 2; // temporary until makeLetterplaceRing4() is fixed
+  int alternativeVersion = 0;
   if ( size(#)>0 )
   {

Singular/LIB/goettsche.lib

@@ -1 +1 @@
 ////////////////////////////////////////////////////////////////
-version = "version goettsche.lib 4.1.1.0 Sep_2017 ";  // $Id$
-category = "Betti numbers";
+version = "version goettsche.lib 0.931 Feb_2018 ";      //$Id$
 info="
 LIBRARY:  goettsche.lib     Drezet's formula for the Betti numbers of the moduli space
-                            of Kronecker modules,
+                            of Kronecker modules;
                             Goettsche's formula for the Betti numbers of the Hilbert scheme
-                            of points on a surface,
+                            of points on a surface;
+                            Nakajima's and Yoshioka's formula for the Betti numbers
+                            of the punctual Quot-schemes on a plane or, equivalently,
+                            of the moduli spaces of the framed torsion-free planar sheaves;
                             Macdonald's formula for the symmetric product
 
@@ -21 +23 @@
   [3] Macdonald, I. G.,     The Poincare polynomial of a symmetric product,
                             Mathematical proceedings of the Cambridge Philosophical Society:
-                            58, 563 - 568, (1962).
+                            58, 563-568, (1962).
+
+  [4] Nakajima, Hiraku;     Lectures on instanton counting, CRM Proceedings and Lecture Notes,
+      Yoshioka, Kota        Volume 88, 31-101, (2004).
 
 PROCEDURES:
@@ -27 +32 @@
   PPolyH(z, n, b);          Poincare Polynomial of the Hilbert scheme of n points on a surface
   BettiNumsH(n, b);         Betti numbers of the Hilbert scheme of n points on a surface
+  NakYoshF(z, t, r, n);     The Nakajima-Yoshioka formula up to n-th degree
+  PPolyQp(z, n, b);         Poincare Polynomial of the punctual Quot-scheme
+                            of rank r on n planar points
+  BettiNumsQp(n, b);        Betti numbers of the punctual Quot-scheme
+                            of rank r on n planar points
   MacdonaldF(z, t, n, b);   The Macdonald's formula up to n-th degree
   PPolyS(z, n, b);          Poincare Polynomial of the n-th symmetric power of a variety
@@ -35 +45 @@
                             of Kronecker modules N (q; m, n)
 
-KEYWORDS: betti number; Goettsche's formula; Macdonald's formula;Kronecker modules
+KEYWORDS:  Betty number; Goettsche's formula; Macdonald's formula; Kronecker module; Hilbert scheme; Quot-scheme; framed sheaves; symmetric product
 ";
 //----------------------------------------------------------
@@ -61 +71 @@
     return( poly(0) );
   }
-  // now is non-negative and b is a list of non-negative integers
+  // now n is non-negative and b is a list of non-negative integers
   if(size(b) < 5) // if there are not enough Betti numbers
   {
@@ -124 +134 @@
     return( poly(0) );
   }
-  // now is non-negative and b is a list of non-negative integers
+  // now n is non-negative and b is a list of non-negative integers
   if(size(b) < 5) // if there are not enough Betti numbers
   {
@@ -188 +198 @@
     return(list());
   }
-  // now is non-negative and b is a list of non-negative integers
+  // now n is non-negative and b is a list of non-negative integers
   if(size(b) < 5) // if there are not enough Betti numbers
   {
@@ -229 +239 @@
   // get the Betti numbers of the Hilbert scheme of 3 points on P_2
   print( BettiNumsH(3, b) );
+}
+//----------------------------------------------------------
+
+proc NakYoshF(poly z, poly t, int r, int n)
+"USAGE:   NakYoshF(z, t, r, n);  z, t polynomials, r, n integers
+RETURN:   polynomial in z and t
+PURPOSE:  computes the formula of Nakajima and Yoshioka
+          up to degree n in t
+EXAMPLE:  example NakYoshF; shows an example
+NOTE:     zero is returned if n<0 or r<=0
+"
+{
+  // check the input data
+  if(n<0)
+  {
+    print("the number of points must be non-negative");
+    print("zero polynomial is returned");
+    return( poly(0) );
+  }
+  if(r<=0)
+  {
+    print("r must be positive");
+    print("zero polynomial is returned");
+    return( poly(0) );
+  }
+  // now n is non-negative and r is positive
+  def br@=basering; // remember the base ring
+  // add additional variables z@, t@ to the base ring
+  execute("ring r@= (" + charstr(basering) + "),("+varstr(basering)+", z@, t@), dp;" );
+  execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings
+  // compute the generating function by the Nakajima-Yoshioka formula up to degree n in t@
+  poly rez=1;
+  int k,i;
+  ideal I=std(t@^(n+1));
+  for(k=1;k<=n;k++)
+  {
+    for(i=1;i<=r;i++)
+    {
+      rez=NF( rez*generFactor( z@^(2*(r*k-i))*t@^k, k, 0, 1, n), I);
+    }
+  }
+  setring br@; // come back to the initial base ring
+  // define the specialization homomorphism z@=z, t@=t
+  execute( "map FF= r@,"+varstr(br@)+", z, t;" );
+  poly rez=FF(rez); // bring the result to the base ring
+  return(rez);
+}
+example
+{
+  "EXAMPLE:"; echo=2;
+  ring r=0, (t, z), ls;
+  // get the Nakajima-Yoshioka formula for r=1 up to degree 3, i.e.,
+  // the generating function for the Poincare polynomials of the
+  // punctual Hilbert schemes of n planar points
+  print( NakYoshF(z, t, 1, 3) );
+}
+//----------------------------------------------------------
+
+proc PPolyQp(poly z, int r, int n)
+"USAGE:   PPolyQp(z, r, n);  z polynomial, r, n integers
+RETURN:   polynomial in z
+PURPOSE:  computes the Poincare polynomial of the punctual Quot-scheme
+          of rank r on n planar points
+EXAMPLE:  example PPolyQp; shows an example
+NOTE:     zero is returned if n<0 or r<=0
+"
+{
+  // check the input data
+  if(n<0)
+  {
+    print("the number of points must be non-negative");
+    print("zero polynomial is returned");
+    return( poly(0) );
+  }
+  if(r<=0)
+  {
+    print("r must be positive");
+    print("zero polynomial is returned");
+    return( poly(0) );
+  }
+  // now n is non-negative and r is positive
+  def br@=basering; // remember the base ring
+  // add additional variables z@, t@ to the base ring
+  execute("ring r@= (" + charstr(basering) + "),("+varstr(basering)+", z@, t@), dp;" );
+  execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings
+  // compute the generating function by the Nakajima-Yoshioka formula up to degree n in t@
+  poly rez=1;
+  int k,i;
+  ideal I=std(t@^(n+1));
+  for(k=1;k<=n;k++)
+  {
+    for(i=1;i<=r;i++)
+    {
+      rez=NF(rez*generFactor( z@^(2*(r*k-i))*t@^k, k, 0, 1, n), I);
+    }
+  }
+  rez= coeffs(rez, t@)[n+1, 1]; // take the coefficient of the n-th power of t@
+  setring br@; // come back to the initial base ring
+  // define the specialization homomorphism z@=z, t@=0
+  execute( "map FF= r@,"+varstr(br@)+",z, 0;" );
+  poly rez=FF(rez); // bring the result to the base ring
+  return(rez);
+}
+example
+{
+  "EXAMPLE:"; echo=2;
+  ring r=0, (z), ls;
+  // get the Poincare polynomial of the punctual Hilbert scheme (r=1)
+  // of 3 planar points
+  print( PPolyQp(z, 1, 3) );
+}
+//----------------------------------------------------------
+
+proc BettiNumsQp(int r, int n)
+"USAGE:   BettiNumsQp(r, n);  n, r integers
+RETURN:   list of non-negative integers
+PURPOSE:  computes the Betti numbers of the punctual Quot-scheme
+          of rank r on n points on a plane
+EXAMPLE:  example BettiNumsQp; shows an example
+NOTE:     an empty list is returned if n<0 or r<=0
+"
+{
+  // check the input data
+  if(n<0)
+  {
+    print("the number of points must be non-negative");
+    print("zero polynomial is returned");
+    return( poly(0) );
+  }
+  if(r<=0)
+  {
+    print("r must be positive");
+    print("zero polynomial is returned");
+    return( poly(0) );
+  }
+  // now n is non-negative and r is positive
+  def br@=basering; // remember the base ring
+  // add additional variables z@, t@ to the base ring
+  execute("ring r@= (" + charstr(basering) + "),("+varstr(basering)+", z@, t@), dp;" );
+  execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings
+  poly rez=1;
+  int k,i;
+  ideal I=std(t@^(n+1));
+  for(k=1;k<=n;k++)
+  {
+    for(i=1;i<=r;i++)
+    {
+      rez=NF(rez*generFactor( z@^(2*(r*k-i))*t@^k, k, 0, 1, n), I);
+    }
+  }
+  rez= coeffs(rez, t@)[n+1, 1]; // take the coefficient of the n-th power of t@
+  matrix CF=coeffs(rez, z@); // take the matrix of the coefficients
+  list res; // and transform it to a list
+  int d=size(CF);
+  for(i=1; i<=d; i++)
+  {
+    res=res+ list(int(CF[i, 1])) ;
+  }
+  setring br@; // come back to the initial base ring
+  return(res);
+}
+example
+{
+  "EXAMPLE:"; echo=2;
+  ring r=0, (z), ls;
+  // get the Betti numbers of the punctual Hilbert scheme (r=1)
+  // of 3 points on a plane
+  print( BettiNumsQp(1, 3) );
 }
 //----------------------------------------------------------
@@ -728 +906 @@
 }
 //----------------------------------------------------------
-

Singular/LIB/multigrading.lib

@@ -3119 +3119 @@
 "
 {
-   if( system("sh","which hilbert 2> /dev/null 1> /dev/null") != 0 )
+   // find the name of hilbert/4ti2-hilbert
+   string s_name=system("executable","hilbert");
+   if (size(s_name)==0) { s_name=system("executable","4ti2-hilbert"); /* debian*/ }
+
+   if( size(s_name)==0 )
    {
      ERROR("Sorry: cannot find 'hilbert' command from 4ti2. Please install 4ti2!");
@@ -3177 +3181 @@
 
 
-   j=system("sh","hilbert -q sing4ti2 >/dev/null 2>&1"); ////////// be quiet + no loggin!!!
+   j=system("sh",s_name+" -q sing4ti2 >/dev/null 2>&1"); ////////// be quiet + no loggin!!!
 
    j=system("sh", "awk \'BEGIN{ORS=\",\";}{print $0;}\' sing4ti2.hil " +

Singular/LIB/schreyer.lib

@@ -1 +1 @@
 ///////////////////////////////////////////////////////////////////////////////
-version="version schreyer.lib 4.1.1.0 Dec_2017 "; // $Id$
+version="version schreyer.lib 4.1.1.1 Feb_2018 "; // $Id$
 category="General purpose";
 info="
-LIBRARY: schreyer.lib Schreyer resolution computations and helpers for derham.lib
+LIBRARY: schreyer.lib helpers for derham.lib
 AUTHOR:  Oleksandr Motsak <U@D>, where U={motsak}, D={mathematik.uni-kl.de}
 KEYWORDS: Schreyer ordering; Schreyer resolution; syzygy
@@ -55 +55 @@
 
 PROCEDURES:
-  s_res(M,l)   compute Schreyer resolution via LiftTree method from [BMSS]
   Sres(M,l)    helper for computing Schreyer resolution
   Ssyz(M)      helper for computing Schreyer resolution of module M of length 1
   Scontinue(l) helper for extending currently active resolution
-  SSres(M,l)    helper2 for computing Schreyer resolution
-  SSsyz(M)      helper2 for computing Schreyer resolution of module M of length 1
-  SScontinue(l) helper2 for extending currently active resolution
-
-SEE ALSO: syz, sres, lres, res
+
+SEE ALSO: syz, sres, lres, res, fres
 ";
 
@@ -121 +117 @@
   return (list(G, II));
 }
-
-static proc splitSyzGB( module J, int c )
-{
-  module JJ; vector v, vv; int i;
-
-  for( i = ncols(J); i > 0; i-- )
-  {
-    v = J[i];
-
-    vv = 0;
-
-    while(   Syzextra::leadcomp(v) <= c )
-    {
-      vv = vv + lead(v);
-      v  = v  - lead(v);
-    }
-
-    J[i] = vv;
-    JJ[i] = v;
-  }
-
-  J = simplify(J, 2);
-  JJ = simplify(JJ, 2);
-
-  return (list(J, JJ));
-}
-
 
 static proc Sinit(module M)
@@ -302 +271 @@
 }
 
-proc Ssyz(module M)
-"USAGE:  Ssyz(module M)
-RETURN:  ring, containing a Schreyer resolution
-PURPOSE: computes a Schreyer resolution of M of length 1 (see the library overview)
-SEE ALSO: Sres
-EXAMPLE: example Ssyz; shows an example
-"
-{
-  def S = Sinit(M); setring S;
-
-  Sstep(); // NOTE: what if M is zero?
-
-  return (S);
-}
-example
-{ "EXAMPLE:"; echo = 2;
-  ring r;
-  module M = maxideal(1); M;
-  def S = Ssyz(M); setring S; S;
-  "Only the first syzygy: ";
-  RES;
-  MRES; // Note gen(i)
-  kill S;
-  setring r; kill M;
-
-  module M = 0;
-  def S = Ssyz(M); setring S; S;
-  "Only the first syzygy: ";
-  RES;
-  MRES;
-}
-
 proc Sres(module M, int l)
 "USAGE:  Sres(module M, int len)
@@ -377 +314 @@
 }
 
-
-
 // ================================================================== //
 
-
-LIB "general.lib"; // for sort
-
-static proc MySort(def M)
-" Sorts the given ideal or module wrt >_{(c, ds)}  (.<.<.<.<) "
-{
-  if( typeof( attrib(basering, "DEBUG") ) == "int" )
-  {
-    int @DEBUG = attrib(basering, "DEBUG");
-  } else
-  {
-    int @DEBUG = 0; // !system("with", "ndebug");
-  }
-
-  if( typeof( attrib(basering, "KERCHECK") ) == "int" )
-  {
-    int @KERCHECK = attrib(basering, "KERCHECK");
-  } else
-  {
-    int @KERCHECK = @DEBUG;
-  }
-
-  def @N = M;
-
-  if( size(M) > 0 )
-  {
-    Syzextra::Sort_c_ds(@N);
-
-    if( @KERCHECK )
-    {
-      def iv = sort(lead(M), "c,ds", 1)[2]; // ,1 => reversed! // TODO: not needed?
-      def @M = M;
-      @M = M[iv];
-
-      // 0^th syz. property
-      if( (size(@N) + size(@M)) > 0 )
-      {
-        if( size(module( matrix(module(matrix(@N))) - matrix(module(matrix(@M))) )) > 0 )
-        {
-          "ERROR: MySort: wrong sorting in 'MySort': @N != @M!!!";
-
-          "@M:"; @M;
-          "@N:"; @N;
-
-          "module( matrix(module(matrix(@N))) - matrix(module(matrix(@M))) ): ";
-          module( matrix(module(matrix(@N))) - matrix(module(matrix(@M))) );
-
-          "ERROR: MySort: wrong sorting in 'MySort': @N != @M!!!";
-        }
-      }
-    }
-  }
-
-  return (@N);
-}
-
-
-/* static */
-proc SSinit(def M)
-{
-//  rtimer, "***TIMESNAP0 for SSinit: on level: [",-1,"] :: t: ", timer, ", r: ", rtimer;
-  if( (typeof(M) != "module") && (typeof(M) != "ideal") )
-  {
-    ERROR("Sorry: need an ideal or a module for input");
-  }
-  def @save = basering;
-
-  int @DEBUG = 0; // !system("with", "ndebug");
-
-  if( typeof( attrib(SSinit, "DEBUG") ) == "int" )
-  {
-    @DEBUG = attrib(SSinit, "DEBUG");
-  }
-
-  int @SYZCHECK = 0; // @DEBUG;
-
-  if( typeof( attrib(SSinit, "SYZCHECK") ) == "int" )
-  {
-    @SYZCHECK = attrib(SSinit, "SYZCHECK");
-  }
-
-  int @KERCHECK = 0; // @DEBUG;
-
-  if( typeof( attrib(SSinit, "KERCHECK") ) == "int" )
-  {
-    @KERCHECK = attrib(SSinit, "KERCHECK");
-  }
-
-  int @IGNORETAILS = 0;
-
-  if( typeof( attrib(SSinit, "IGNORETAILS") ) == "int" )
-  {
-    @IGNORETAILS = attrib(SSinit, "IGNORETAILS");
-  }
-
-  int @TREEOUTPUT = 0;
-
-  if( typeof( attrib(SSinit, "TREEOUTPUT") ) == "int" )
-  {
-    @TREEOUTPUT = attrib(SSinit, "TREEOUTPUT");
-  }
-
-  int @RINGCHANGE = 0;
-
-  if( typeof( attrib(SSinit, "RINGCHANGE") ) == "int" )
-  {
-    @RINGCHANGE = attrib(SSinit, "RINGCHANGE");
-  }
-
-  def opts = option(get);
-  option(redSB); option(redTail);
-    M = simplify(interred(groebner(M)), 1 + 2 + 4 + 32); // NOTE: we require interreduced GB for input
-  option(set, opts); kill opts;
-
-//  int @IS_A_SB = attrib(M, "isSB");  if( !@IS_A_SB )  {  } else  {  }
-// attrib(M, "isSB", 1);
-
-  if( @IGNORETAILS )
-  {
-    M = lead(M);
-  }
-
-  def @N = MySort(M); // TODO: replace with inplace sorting!!!
-  def LEAD = lead(@N);
-
-  if( @KERCHECK )
-  {
-    def @LEAD = lead(M);
-
-    // sort wrt neg.deg.rev.lex!
-    intvec iv_ds = sort(@LEAD, "c,ds", 1)[2]; // ,1 => reversed!
-
-    M = M[iv_ds]; // sort M wrt ds on current leading terms
-    @LEAD = @LEAD[iv_ds];
-
-    if( size(module( matrix(@N) - matrix(M) )) > 0 )
-    {
-      "M:"; M;
-      "@N:"; @N;
-
-      "module( matrix(@N) - matrix(M) ): ";
-      module( matrix(@N) - matrix(M) );
-
-      "ERROR: wrong sorting (in SSnit): @N != M!!!";
-    }
-
-    if( size(module( matrix(@LEAD) - matrix(LEAD) )) > 0 )
-    {
-      "LEAD:"; LEAD;
-      "@LEAD:"; @LEAD;
-
-      "module( matrix(@LEAD) - matrix(LEAD) ): ";
-      module( matrix(@LEAD) - matrix(LEAD) );
-
-      "ERROR: wrong sorting (in SSnit): @LEAD != LEAD!!!";
-    }
-
-  }
-
-  M = @N;
-
-  def TAIL =   Syzextra::Tail(M);
-
-  int @RANK = nrows(M); int @SIZE = ncols(M);
-
-  intvec @DEGS = deg(M[1..@SIZE]); // store actuall degrees of input elements
-
-  // TODO: what about real modules? weighted ones?
-
-  if( @RINGCHANGE )
-  {
-    list @l = ringlist(@save);
-    int @z = 0; ideal @m = maxideal(1); intvec @wdeg = deg(@m[1..ncols(@m)]);
-    // NOTE: @wdeg will be ignored anyway :(
-    @l[3] = list(list("C", @z), list("lp", @wdeg));
-    kill @z, @m, @wdeg; // since these vars are ring independent!
-    def S = ring(@l); // --  Syzextra::MakeInducedSchreyerOrdering(1);
-    kill @l;
-    setring S; // ring with an easy divisibility test ("C, lex") // or not!???
-  } else
-  { def S = basering; }
-
-  // Setup the leading syzygy^{-1} module to zero:
-  module Z = 0; Z[@RANK] = 0; attrib(Z, "isHomog", intvec(0));
-
-  if( !@RINGCHANGE )
-  {
-    if( defined(RES) )  { kill RES; }
-    if( defined(MRES) ) { kill MRES; }
-    if( defined(LRES) ) { kill LRES; }
-    if( defined(TRES) ) { kill TRES; }
-  }
-
-  module MRES = Z;
-
-  list RES;  RES[1] = Z;
-  list LRES; LRES[1] = Z;
-  list TRES; TRES[1] = Z;
-
-  if( !defined(M) )
-  {
-    def M = imap(@save, M);
-  }
-
-  module F = freemodule(@RANK); intvec @V = deg(F[1..@RANK]); kill F;
-
-  attrib(M, "isHomog", @V);
-  attrib(M, "isSB", 1);
-  attrib(M, "degrees", @DEGS);
-
-  if( !defined(LEAD) )
-  {
-    def LEAD = imap(@save, LEAD);
-  }
-
-  attrib(LEAD, "isHomog", @V);
-  attrib(LEAD, "isSB", 1);
-
-  if( !defined(TAIL) )
-  {
-    def TAIL = imap(@save, TAIL);
-  }
-
-  if( @SYZCHECK )
-  {
-    // 0^th syz. property
-    if( size(module(transpose( transpose(M) * transpose(MRES) ))) > 0 )
-    {
-      transpose( transpose(M) * transpose(MRES) );
-      "ERROR: transpose( transpose(M) * transpose(MRES) ) != 0!!!";
-    }
-  }
-
-  RES [size(RES)+1] = M; // list of all syzygy modules
-  LRES[size(LRES)+1] = LEAD; // list of all syzygy modules
-  TRES[size(TRES)+1] = TAIL; // list of all syzygy modules
-
-  MRES = MRES, M; //?
-
-  attrib(MRES, "isHomog", @V);
-
-//  attrib(S, "InducionStart", @RANK);
-
-
-  if( typeof( attrib(SSinit, "LEAD2SYZ") ) == "int" )
-  {
-    attrib(S, "LEAD2SYZ", attrib(SSinit, "LEAD2SYZ") );
-  } else
-  {
-    attrib(S, "LEAD2SYZ", 0);
-  }
-
-  if( typeof( attrib(SSinit, "TAILREDSYZ") ) == "int" )
-  {
-    attrib(S, "TAILREDSYZ", attrib(SSinit, "TAILREDSYZ") );
-  } else
-  {
-    attrib(S, "TAILREDSYZ", 1);
-  }
-
-  if( typeof( attrib(SSinit, "HYBRIDNF") ) == "int" )
-  {
-    attrib(S, "HYBRIDNF", attrib(SSinit, "HYBRIDNF") );
-  } else
-  {
-    attrib(S, "HYBRIDNF", 0);
-  }
-
-  if( typeof( attrib(SSinit, "NOCACHING") ) == "int" )
-  {
-    attrib(S, "NOCACHING", attrib(SSinit, "NOCACHING") );
-  } else
-  {
-    attrib(S, "NOCACHING", 0);
-  }
-
-
-  // maybe resetting existing ring attributes!
-  attrib(S, "DEBUG", @DEBUG);
-  attrib(S, "SYZCHECK", @SYZCHECK);
-  attrib(S, "KERCHECK", @KERCHECK);
-  attrib(S, "IGNORETAILS", @IGNORETAILS);
-  attrib(S, "TREEOUTPUT", @TREEOUTPUT);
-  attrib(S, "SYZNUMBER", 0);
-
-  export RES;
-  export MRES;
-  export LRES;
-  export TRES;
-
-//  rtimer, "***TIMESNAP1 for SSinit: on level: [",attrib(basering,"SYZNUMBER"),"] :: t: ", timer, ", r: ", rtimer;
-
-  return (S);
-}
-example
-{ "EXAMPLE:"; echo = 2;
-  ring R = 0, (w, x, y, z), dp;
-
-  def M = maxideal(1);
-  def S = SSinit(M); setring S; S;
-
-  "Only the first initialization: ";
-  RES; LRES; TRES;
-  MRES;
-
-  kill S; setring R; kill M;
-
-  ideal M = w^2 - x*z,  w*x - y*z,  x^2 - w*y, x*y - z^2, y^2 - w*z;
-  def S = SSinit(M); setring S; S;
-
-  "Only the first initialization: ";
-  RES; LRES; TRES;
-  MRES;
-
-  kill S; setring R; kill M;
-}
-
-
-LIB "poly.lib"; // for lcm
-
-
-
-// -------------------------------------------------------- //
-
-/// TODO: save shortcut (syz: |-.->) LM(LM(m) * "t") -> syz?
-
-/// TODO: save shortcut (syz: |-.->) LM(m) * "t" -> ?
-
-// TODO: store m * @tail -.-^-.-^-.--> ?
-static proc SSTraverseTail(poly m, def @tail, def L, def T, list #)
-{
-  if( typeof( attrib(basering, "DEBUG") ) == "int" )
-  {
-    int @DEBUG = attrib(basering, "DEBUG");
-  } else
-  {
-    int @DEBUG = 0; // !system("with", "ndebug");
-  }
-
-  if( typeof( attrib(basering, "KERCHECK") ) == "int" )
-  {
-    int @KERCHECK = attrib(basering, "KERCHECK");
-  } else
-  {
-    int @KERCHECK = @DEBUG;
-  }
-
-  if( typeof(#[1]) == "module" )
-  {
-    vector ss =   Syzextra::TraverseTail(m, @tail, L, T, #[1]);
-  } else
-  {
-    vector ss =   Syzextra::TraverseTail(m, @tail, L, T);
-  }
-
-  if( @KERCHECK )
-  {
-    vector s = 0;
-
-    def @l, @p;
-    @p = @tail;
-
-  // iterate tail-terms in ANY order!
-    while( size(@p) > 0 )
-    {
-      @l = lead(@p);
-      s = s + SSReduceTerm(m, @l, [0], L, T, #); // :(
-      @p = @p - @l;
-    }
-
-    if( s != ss )
-    {
-      "ERROR in   Syzextra::TraverseTail => old: ", s, " != ker: ", ss;
-      "m: ", m;
-      "@tail: ", @tail;
-      L; T; #;
-    }
-  }
-
-  return (ss);
-}
-
-// -------------------------------------------------------- //
-
-// -------------------------------------------------------- //
-
-// module (N, LL, TT) = SSComputeSyzygy(L, T);
-// Compute Syz(L ++ T) = N = LL ++ TT
-
-// resolution/syzygy step:
-/* static */
-proc SSstep()
-{
-//  rtimer, "***TIMESNAP0 for SSstep(): on level: [",attrib(basering,"SYZNUMBER"),"] :: t: ", timer, ", r: ", rtimer;
-
-  int @DEBUG = attrib(basering, "DEBUG");
-  int @SYZCHECK = attrib(basering, "SYZCHECK");
-
-/*
-  // is initial weights are all zeroes!
-  def L =  lead(M);
-  intvec @V = deg(M[1..ncols(M)]);  @W;  @V;  @W = @V;  attrib(L, "isHomog", @W);
-    Syzextra::SetInducedReferrence(L, @RANK, 0);
-*/
-
-//  def L =  lead(MRES);
-//  @W = @W, @V;
-//  attrib(L, "isHomog", @W);
-
-
-  // General setting:
-//    Syzextra::SetInducedReferrence(MRES, 0, 0); // limit: 0!
-  int @l = size(RES);
-
-  def M =  RES[@l];
-
-  def L = LRES[@l];
-  def T = TRES[@l];
-
-
-  //// TODO: wrong !!!!!
-  int @RANK = ncols(MRES) - ncols(M); // nrows(M); // what if M is zero?!
-
-
-
-/*
-  if( @RANK !=  nrows(M) )
-  {
-    type(MRES);
-    @RANK;
-    type(M);
-    pause();
-  }
-*/
-
-  intvec @W = attrib(M, "isHomog"); intvec @V = attrib(M, "degrees"); @V = @W, @V;
-
-  // TODO: N  = SYZ( M )!!!
-  module N, LL, TT; (N, LL, TT) = SSComputeSyzygy(/*M, */L, T/*, @RANK*/);
-
-  // shift syz.comp by @RANK:
-  module Z;
-  Z = 0; Z[@RANK] = 0; Z = Z, transpose(LL);   LL = transpose(Z);
-  Z = 0; Z[@RANK] = 0; Z = Z, transpose(TT);   TT = transpose(Z);
-  Z = 0; Z[@RANK] = 0; Z = Z, transpose(N);     N = transpose(Z);
-
-
-  if( @SYZCHECK )
-  {
-    if( size(N) > 0 )
-    {
-      // next syz. property
-      if( size(module(transpose( transpose(N) * transpose(MRES) ))) > 0 )
-      {
-        "MRES", MRES;
-
-        "N: "; N;
-
-        "LL:"; LL;
-        "TT:"; TT;
-
-        "RANKS: ", @RANK;
-
-        "transpose( transpose(N) * transpose(MRES) ) != 0!!!";
-        transpose( transpose(N) * transpose(MRES) );
-
-        "transpose(N) * transpose(MRES): ";
-        transpose(N) * transpose(MRES);
-      }
-    }
-  }
-
-  attrib(N, "isHomog", @V);
-
-  // TODO: correct the following:
-  intvec @DEGS = deg(N[1..ncols(N)]); // no mod. comp. weights :(
-
-
-  attrib(N, "degrees", @DEGS);
-
-   RES[@l + 1] = N; // list of all syzygy modules
-  LRES[@l + 1] = LL; // list of all syzygy modules
-  TRES[@l + 1] = TT; // list of all syzygy modules
-
-  MRES = MRES, N;
-
-  attrib(MRES, "isHomog", @V);
-
-//  L = L, lead(N);  attrib(basering, "InducionLeads", L);
-
-  int ss = attrib(basering, "SYZNUMBER");
-  attrib(basering, "SYZNUMBER", ss + 1 );
-
-//  rtimer, "***TIMESNAP1 for SSstep(): on level: [",attrib(basering,"SYZNUMBER"),"] :: t: ", timer, ", r: ", rtimer;
-}
-
-/* static */
-proc SScontinue(int l)
-"USAGE:  SScontinue(l)
-RETURN:  nothing, instead it changes RES and MRES variables in the current ring
-PURPOSE: computes further (at most l) syzygies
-NOTE:    must be used within a ring returned by Sres or Ssyz. RES and MRES are
-         explained in Sres
-EXAMPLE: example Scontinue; shows an example
-"
-{
-//  rtimer, "***TIMESNAP0 for SScontinue: on level: [",attrib(basering,"SYZNUMBER"),"] :: t: ", timer, ", r: ", rtimer;
-
-  /// TODO!
-//  def data =   Syzextra::GetInducedData();
-
-  if( (!defined(RES)) || (!defined(MRES)) ) /* || (typeof(data) != "list") || (size(data) != 2) */
-  {
-    ERROR("Sorry, but basering does not seem to be returned by Sres or Ssyz");
-  }
-  for (;  (l != 0) && (size(RES[size(RES)]) > 0); l-- )
-  {
-    SSstep();
-  }
-
-//  rtimer, "***TIMESNAP1 for SScontinue: on level: [",attrib(basering,"SYZNUMBER"),"] :: t: ", timer, ", r: ", rtimer;
-
-}
-example
-{ "EXAMPLE:"; echo = 2;
-  ring r;
-  module M = maxideal(1); M;
-  def S = SSsyz(M); setring S; S;
-  "Only the first syzygy: ";
-  RES; MRES;
-  "More syzygies: ";
-  SScontinue(10);
-  RES; MRES;
-}
-
-/* static */
-proc SSsyz(def M)
-"USAGE:  SSsyz(M)
-RETURN:  ring, containing a list of modules RES and a module MRES
-PURPOSE: computes the first syzygy module of M (wrt some Schreyer ordering)?
-NOTE:    The output is explained in Sres
-EXAMPLE: example Ssyz; shows an example
-"
-{
-  if( (typeof(M) != "module") && (typeof(M) != "ideal") )
-  {
-    ERROR("Sorry: need an ideal or a module for input");
-  }
-
-  def SS = SSinit(M); setring SS;
-
-  SSstep(); // NOTE: what if M is zero?
-
-  return (SS);
-}
-example
-{ "EXAMPLE:"; echo = 2;
-  ring r;
-
-/*  ideal M = 0;
-  def S = SSsyz(M); setring S; S;
-  "Only the first syzygy: ";
-  RES; LRES; TRES;
-  MRES;
-
-  kill S; setring r; kill M;
-*/
-
-  ideal M = maxideal(1); M;
-
-  def S = SSres(M, 0); setring S; S;
-  MRES;
-  print(_);
-  RES;
-
-  kill S; setring r; kill M;
-
-  kill r;
-
-  ring R = 0, (w, x, y, z), dp;
-  ideal M = w^2 - x*z,  w*x - y*z,  x^2 - w*y, x*y - z^2, y^2 - w*z;
-
-  def S = SSres(M, 0); setring S; S;
-  "";
-  LRES;
-  "";
-  TRES;
-  "";
-  MRES;
-  print(_);
-  RES;
-}
-
-/* static */
-proc SSres(def M, int l)
-"USAGE:  SSres(I, l)
-RETURN:  ring, containing a list of modules RES and a module MRES
-PURPOSE: computes (at most l) syzygy modules of M wrt the classical Schreyer
-         induced ordering with gen(i) > gen(j) if i > j, provided both gens
-         are from the same syzygy level.???
-NOTE:    RES contains the images of maps subsituting the beginning of the
-         Schreyer free resolution of baseRing^r/M, while MRES is a sum of
-         these images in a big free sum, containing all the syzygy modules.
-         The syzygy modules are shifted so that gen(i) correspons to MRES[i].
-         The leading zero module RES[0] indicates the fact that coker of the
-         first map is zero. The number of zeroes inducates the rank of input.
-NOTE:    If l == 0 then l is set to be nvars(basering) + 1
-EXAMPLE: example SSres; shows an example
-"
-{
-  if( (typeof(M) != "module") && (typeof(M) != "ideal") )
-  {
-    ERROR("Sorry: need an ideal or a module for input");
-  }
-/*
-  "KERCHECK: ", attrib(SSinit, "KERCHECK");
-  "SYZCHECK: ", attrib(SSinit, "SYZCHECK");
-  "DEBUG: ", attrib(SSinit, "DEBUG");
-  "HYBRIDNF: ", attrib(SSinit, "HYBRIDNF");
-  "TAILREDSYZ: ", attrib(SSinit, "TAILREDSYZ");
-  "LEAD2SYZ: ", attrib(SSinit, "LEAD2SYZ");
-*/
-
-  def SS = SSinit(M); setring SS;
-/*
-  "KERCHECK: ", attrib(SS, "KERCHECK");
-  "SYZCHECK: ", attrib(SS, "SYZCHECK");
-  "DEBUG: ", attrib(SS, "DEBUG");
-  "HYBRIDNF: ", attrib(SS, "HYBRIDNF");
-  "TAILREDSYZ: ", attrib(SS, "TAILREDSYZ");
-  "LEAD2SYZ: ", attrib(SS, "LEAD2SYZ");
-  "";
-  "IGNORETAILS: ", attrib(SS, "IGNORETAILS");
-  "SYZNUMBER: ", attrib(SS, "SYZNUMBER");
-*/
-  if (l == 0)
-  {
-    l = nvars(basering) + 2; // not really an estimate...?!
-  }
-
-  SSstep(); l = l - 1;
-
-  SScontinue(l);
-/*
-  "KERCHECK: ", attrib(SS, "KERCHECK");
-  "SYZCHECK: ", attrib(SS, "SYZCHECK");
-  "DEBUG: ", attrib(SS, "DEBUG");
-  "HYBRIDNF: ", attrib(SS, "HYBRIDNF");
-  "TAILREDSYZ: ", attrib(SS, "TAILREDSYZ");
-  "LEAD2SYZ: ", attrib(SS, "LEAD2SYZ");
-  "";
-  "IGNORETAILS: ", attrib(SS, "IGNORETAILS");
-  "SYZNUMBER: ", attrib(SS, "SYZNUMBER");
-*/
-  return (SS);
-}
-example
-{ "EXAMPLE:"; echo = 2;
-  ring r;
-  module M = maxideal(1); M;
-  def S = SSres(M, 0); setring S; S;
-  RES;
-  MRES;
-}
-
-static proc SRES_betti2(SRES SR, def a)
-{
-  def R = SR.r; setring R;
-  return ( betti(SR.rsltn, a) );
-}
-
-static proc SRES_betti1(SRES SR)
-{
-  def R = SR.r; setring R;
-  return ( betti(SR.rsltn) );
-}
-
-static proc SRES_print(SRES SR)
-{
-  def R = SR.r; setring R;
-  "Schreyer resolution: ";
-  SR.rsltn; //  print ();
-  "over the ring: "; R;
-}
-
-static proc SRES_minres(SRES SR)
-{
-  def save = basering;
-  SRES S;
-  def R = SR.r; S.r = R;
-  setring R;
-  S.rsltn = minres(SR.rsltn); // in target ring :(
-  return (S);
-}
-
-
-// cannot be automatically used via overloading :(
-static proc SRES_list(def SR)
-"USAGE:  SRES_list(resolution)
-RETURN:  list
-PURPOSE: convert given resolution to a list
-NOTE:    result is over basering
-SEE ALSO: s_res, resolution
-EXAMPLE: example s_res; shows an example
-"
-{
-  if( typeof(SR) != "SRES" )
-  {
-    list @@@L = SR;
-    return (@@@L);
-  }
-
-  def save = basering;
-  def R = SR.r;
-
-//    if( 0 )  // ( save == R ) // TODO: not implemented :(((
-//    {      list L = SR.rsltn;      return (L);    }
-
-  setring R;
-
-  list @@@L = SR.rsltn;
-  setring save;
-  return (imap( R, @@@L ));
-}
-
 static proc mod_init()
 {
   load("syzextra.so");
-
-  if( 1 ) // !defined(Syzextra) )
-  {
-    // TODO: SSres - return SRESOLUTION?
-    newstruct("SRES","ring r,resolution rsltn"); // http://www.singular.uni-kl.de/Manual/latest/sing_179.htm#SEC218
-    system("install","SRES","print",SRES_print, 1);
-    system("install","SRES","betti",SRES_betti1, 1); // http://www.singular.uni-kl.de/Manual/latest/sing_260.htm#SEC299
-    system("install","SRES","betti",SRES_betti2, 2); // http://www.singular.uni-kl.de/Manual/latest/sing_260.htm#SEC299
-    system("install","SRES","minres",SRES_minres, 1); // http://www.singular.uni-kl.de/Manual/latest/sing_344.htm#SEC383
-//    system("install","SRES","list", SRES_list, 1); // will never work :(((
-//    system("install","SRES","string",SRES_string, 1);
-  }
-}
-
-
-static proc testallSexamples()
-{
-  example Ssyz;
-  example Scontinue;
-  example Sres;
-}
-
-static proc testallSSexamples()
-{
-  example SSsyz;
-  example SScontinue;
-  example SSres;
-}
-example
-{ "EXAMPLE:"; echo = 2;
-  testallSexamples();
-  testallSSexamples();
-}
-
-static proc  StartResTesting(list #)
-{
-  int @treeout = attrib(SSinit, "TREEOUTPUT");
-
-  if( defined(@save_res_list) )
-  { ERROR("Sorry: existing global variable @save_res_list - run StopAddResTesting before another Start!!!"); }
-
-  string @save_res_desc = string(#);
-
-  if( !@treeout )
-  {
-    ">>>>>>>>> {{{{{{{{{ STARTING TESTING ('" + @save_res_desc + "') :::::::::::: ";
-  } else
-  {
-    "{ \"Example\": \"" + @save_res_desc + "\", \"computations\": [";
-  }
-
-  list @save_res_list = list();
-  export @save_res_list;
-  export @save_res_desc;
-}
-
-static proc  StopResTesting()
-{
-  int @treeout = attrib(SSinit, "TREEOUTPUT");
-
-  if( defined(@save_opts) || defined(@save_method) || defined(@save_desc) )
-  { ERROR("Sorry: existing global variables - run StopAddResTest before another Start!!!"); }
-
-  if( !defined(@save_res_list) || !defined(@save_res_desc) )
-  { ERROR("Sorry: no global variable - run StartResTesting beforehand!!!"); }
-
-  int i, j;
-  int f = 0;
-  def m, mm;
-
-  if( !@treeout )
-  {
-  for (i = size(@save_res_list); i > 0; i--)
-  {
-    "Total Time: ", @save_res_list[i][5], ", Res: ", @save_res_list[i][6], ", Minimal Betti: ", @save_res_list[i][5] - @save_res_list[i][6], ",        ", @save_res_list[i][1], "   :with:    ", @save_res_list[i][2];
-  }
-
-  }
-
-  for (i = size(@save_res_list); i > 1; i--)
-  {
-    m = @save_res_list[i][4];
-
-    for (j = i-1; j > 0; j--)
-    {
-      mm = @save_res_list[j][4];
-      if( (nrows(m) != nrows(mm)) || (ncols(m) != ncols(mm)) )
-      {
-        "ERROR: SIZE(Betti[j: ", j, "]) != SIZE(Betti[i: ", i, "]):";
-        "j: ", j;
-        print( @save_res_list[j][4], "betti");
-        print(@save_res_list[j]);
-
-        "i: ", i;
-        print( @save_res_list[i][4], "betti");
-        print(@save_res_list[i]);
-
-        f = 1;
-
-      } else
-      {
-        if( m != mm )
-        {
-          "ERROR: Betti[j: ", j, "] != Betti[i: ", i, "]:";
-          "j: ", j;
-          print( @save_res_list[j][4], "betti");
-          print(@save_res_list[j]);
-
-          "i: ", i;
-          print( @save_res_list[i][4], "betti");
-          print(@save_res_list[i]);
-
-          f = 1;
-        };
-      };
-
-    };
-
-  };
-
-  if( f )
-  {
-    print(@save_res_list);
-    "<<<<<<<<< }}}}}}}}}  STOP TESTING (", @save_res_desc,  ") !!!!!!!!!!!! ";
-
-    "ERROR: There were some wrong betti numbers... ";
-  } else
-  {
-    if( !@treeout )
-    {
-      "BETTI: "; print( @save_res_list[1][4], "betti");
-    }
-  }
-
-  kill @save_res_list;
-
-  if( !@treeout )
-  {
-    "<<<<<<<<< }}}}}}}}}  STOP TESTING (", @save_res_desc,  ") !!!!!!!!!!!! ";
-  } else
-  {
-//    "{ \"Example\": \"" + @save_res_desc + "\", \"computations\": [";
-    "] },";
-  }
-  kill @save_res_desc;
-}
-
-static proc StartAddResTest(string method, string desc)
-{
-  int @treeout = attrib(SSinit, "TREEOUTPUT");
-
-  if( !defined(@save_res_list) )
-  { ERROR("Sorry: no global variable - run StartResTesting beforehand!!!"); }
-
-  if( defined(@save_opts) || defined(@save_method) || defined(@save_desc) )
-  { ERROR("Sorry: existing global variables - run StopAddResTest before another Start!!!"); }
-
-
-  def @save_opts = option(get); export @save_opts;
-  def @save_method = method; export @save_method;
-  def @save_desc = desc; export @save_desc;
-
-  if( !@treeout )
-  {
-    "< START RES TEST{{{ ", @save_method, ", with:", @save_desc, " ... ";
-  } else
-  {
-//    Print("{ \"RESOLUTION: HYBRIDNF:%d, TAILREDSYZ: %d, LEAD2SYZ: %d, IGNORETAILS: %d\": [\n",
-//       attributes.__HYBRIDNF__, attributes.__TAILREDSYZ__, attributes.__LEAD2SYZ__, attributes.__IGNORETAILS__);
-    " { \"RESOLUTION: " + @save_method + ", with: " + @save_desc + "\": [";
-  }
-}
-
-
-static proc StopAddResTest(def RR, intmat S, int @t, int @m)
-{
-  int @treeout = attrib(SSinit, "TREEOUTPUT");
-
-  if( !(defined(@save_opts) && defined(@save_method) && defined(@save_desc)) )
-  { ERROR("Sorry: no global variables - run StartAddResTest beforehand!!!"); }
-
-  list @l = list(@save_method, @save_desc, option(get), S, @t, @m);
-
-//  RR,
-//  print(S, "betti");
-
-  if( !@treeout )
-  {
-    "> -STOP RES TEST}}} ", @save_method, ", with:", @save_desc, ", Timer:", @t; option();
-  } else
-  {
-    " ] },";
-  }
-
-
-  option(set, @save_opts); kill @save_opts;
-
-  kill @save_method; kill @save_desc;
-
-  @save_res_list[1 + size(@save_res_list)] = @l;
-}
-
-
-static proc SCheck(def S)
-{
-  setring S; // for checking...
-
-  module M = MRES;
-  if( ncols(M) < nrows(M) )
-  {
-    M[nrows(M)] = 0;
-  } else
-  {
-    M = transpose(M);
-    if( ncols(M) < nrows(M) )
-    {
-      M[nrows(M)] = 0;
-    }
-    M = transpose(M);
-  }
-
-  if( nrows(M) != ncols(M) )
-  {
-    "ERROR: non-square M!!!";
-  }
-
-  if( size(module( M*M )) > 0 )
-  {
-    "ERROR: module( M*M ) != 0!!!";
-    module( M*M );
-
-    "MRES': "; M; print(M);
-
-  }
-//  "MRES': "; M; print(M);
-
-  if( size(RES[1]) != 0 )
-  {
-    "ERROR: wrong starting zero module!!!";
-  }
-
-//  RES;
-/*
-  MRES;
-  RES;
-  "";
-  LRES;
-  "";
-  TRES;
-*/
-}
-
-//// TODO: SSres(0) fails..!!!??
-static proc TestSSres(def I)
-{
-  def save = basering;
-  int @t,@m,r,rr,i;
-  string name =
-    "LEAD2SYZ:"  +string(attrib(SSinit,"LEAD2SYZ")) +
-    ",TAILREDSYZ:"+string(attrib(SSinit,"TAILREDSYZ")) +
-    ",HYBRIDNF:"  +string(attrib(SSinit,"HYBRIDNF"));
-
-  int @PROFILE = attrib(SSinit, "PROFILE");
-  if(@PROFILE){ string @prof = "SSres_" + @save_res_desc + "_" + name + ".prof"; }
-
-  StartAddResTest(
-   "SSres",
-   "minres + betti(,1) + mods: {" + name + "}"
-  );
-
-  option(redSB); option(redTail);
-  timer=0;rtimer=0;def R=SSres(I,0);@m=rtimer;
-  setring R;module M;list @l=list();@l[size(RES)-1]=list();r=nrows(RES[1]);for(i=2;i<=size(RES);i++){M=RES[i];rr=nrows(M);if((r>0)&&(size(M)>0)&&(r<rr)){M=transpose(M);M=M[(r+1)..ncols(M)];M=transpose(M);RES[i]=M;};r=rr;@l[i-1] = M;};resolution RR=@l;RR=minres(RR);def S=betti(RR,1);@t=rtimer;
-  SCheck(R);
-  StopAddResTest(RR, S, @t,@m);
-  kill S, RR; setring save; kill R;
-}
-
-
-// Further recognized switches are the following attributes of @code{Schreyer::SSinit} procedure:
-// LEAD2SYZ, TAILREDSYZ, HYBRIDNF, DEBUG, ...
-
-proc s_res(def I, int l)
-"USAGE:  s_res(ideal/module M, int len)
-RETURN:  resolution object over basering
-PURPOSE: compute a non-minimal Schreyer free resolution of M of length at most len via the LiftTree algorithm described in [BMSS].
-NOTE:    If given len is zero then nvars(basering) + 1 is used instead.
-@* This functions is not related to the helpers from this library. This procedure works in only in commutative case.
-@* One can switch on computation protocol and statistic (depending on the build) by setting the @code{prot} option.
-SEE ALSO: sres, lres, Sres
-EXAMPLE: example s_res; shows an example
-"
-{
-  def @save = basering;
-
-  int @RINGCHANGE = 0;
-
-  if( typeof( attrib(SSinit, "RINGCHANGE") ) == "int" )
-  {
-    @RINGCHANGE = attrib(SSinit, "RINGCHANGE");
-  }
-
-  def R=SSinit(I);
-  if( @RINGCHANGE ){ setring R; }
-
-  int @l = size(RES);
-  def rsltn =   Syzextra::ComputeResolution(RES[@l], LRES[@l], TRES[@l], l);
-
-  if( !@RINGCHANGE )
-  {
-    return (rsltn); // ret
-  }
-
-  SRES ret; ret.r = R; ret.rsltn = rsltn;
-  return (ret);
-}
-example
-{ "EXAMPLE:"; echo = 2;
-  ring R;
-  module M = maxideal(1); M;
-  s_res(M, 0); // Koszul complex
-  list rs = _; // get syzygies
-  print(betti(rs, 0), "betti"); // non-minimal betties
-  print(minres(rs));
-  print(betti(rs, 1), "betti"); //minimal betties
-}
-
-/* static */
-proc s_res_bm(def I)
-{
-  def @save = basering;
-
-  int @RINGCHANGE = 0;
-
-  if( typeof( attrib(SSinit, "RINGCHANGE") ) == "int" )
-  {
-    @RINGCHANGE = attrib(SSinit, "RINGCHANGE");
-  }
-  int t,tt,sum;
-
-t=rtimer;def R=SSinit(I);tt=rtimer;
-
-  "%% Setup(SSinit) TIME:", tt - t; // if(@prot){ } ?
-  int sum = (tt-t);
-
-  if( @RINGCHANGE ){ setring R; }
-
-  int @l = size(RES);
-  module N, L, T, LL, TT;
-  L = LRES[@l];
-  T = TRES[@l];
-
-
-  int ss = attrib(basering, "SYZNUMBER");
-
-  while ( 1 )
-  {
-//  SSstep():
-t=rtimer;(N,LL,TT)=SSComputeSyzygy(L,T);tt=rtimer;
-
-    @l = @l + 1;
-    "%% SSstep[",@l-2, "] TIME:", tt - t;  // if(@prot){ } ?
-    sum = sum + (tt-t);
-
-    if( (size(LL) == 0) || (size(N) == 0) ) { break; }
-    L = LL; T = TT; RES[@l] = N; // LRES[@l] = LL; TRES[@l] = TT;
-
-    ss = ss + 1; attrib(basering, "SYZNUMBER", ss );
-  }
-
-  "%% Whole Resolution (with "+string(@l)+"syzygies) TIME:", sum;  // if(@prot){ } ?
-  resolution rsltn = list(RES[2..size(RES)]);
-
-  if( !@RINGCHANGE )
-  {
-    return (rsltn); // ret
-  }
-
-  SRES ret; ret.r = R; ret.rsltn = rsltn;
-  return (ret);
-}
-
-
-static proc s_syz(def I)
-{
-  def R=SSinit(I); setring R;
-  int @l = size(RES); //   def M =  RES[@l];
-  module N, LL, TT; (N, LL, TT) = SSComputeSyzygy(LRES[@l], TRES[@l]);
-  SSYZ ret; ret.r = R; ret.szg = N; // Schreyer::  Syzextra::ComputeResolution(RES[2], LRES[2], TRES[2], 0);
-  return (ret);
-}
-
-static proc TestSSSres(def I)
-{
-  def save = basering;
-  int @t,@m,r,rr,i;
-  string name =
-    "LEAD2SYZ:"  +string(attrib(SSinit,"LEAD2SYZ")) +
-    ",TAILREDSYZ:"+string(attrib(SSinit,"TAILREDSYZ")) +
-    ",HYBRIDNF:"  +string(attrib(SSinit,"HYBRIDNF"));
-
-  int @PROFILE = attrib(SSinit, "PROFILE");
-  if(@PROFILE){ string @prof = "SSSres_" + @save_res_desc + "_" + name + ".prof"; }
-
-  StartAddResTest(
-   "SSSres",
-   "minres + betti(,1) + mods: {" + name + "}"
-  );
-
-  option(redSB); option(redTail);
-  timer=0;rtimer=0;def R=SSinit(I);setring R;def RR=  Syzextra::ComputeResolution(RES[2], LRES[2], TRES[2], 0);
-@m=rtimer;
-RR=minres(RR); def S=betti(RR,1);@t=rtimer;
-  SCheck(R);
-  StopAddResTest(RR, S, @t,@m);
-  kill S, RR; setring save; kill R;
-}
-
-
-static proc TestSres(def I)
-{
-  def save = basering;
-  int @t,r,rr,i,@m;
-  StartAddResTest(
-  "Sres",
-  "minres + betti(,1)"
-  );
-  option(redSB); option(redTail);
-  timer=0;rtimer=0;def R=Sres(I,0);@m=rtimer;setring R;module M;list @l=list();@l[size(RES)-1]=list();r=nrows(RES[1]);for(i=2;i<=size(RES);i++){M=RES[i];rr=nrows(M);if((r>0)&&(size(M)>0)&&(r<rr)){M=transpose(M);M=M[(r+1)..ncols(M)];M=transpose(M);RES[i]=M;};r=rr;@l[i-1] = M;};resolution RR=@l;RR=minres(RR);def S=betti(RR,1);@t=rtimer;
-  SCheck(R);
-  StopAddResTest(RR, S, @t,@m);
-  kill S, RR; setring save; kill R;
-}
-
-
-static proc Testsres(def M)
-{
-  int @t,@m;
-  StartAddResTest("sres", "no minres + betti(,1)");
-  option(redSB);option(redTail);
-  timer=0;rtimer=0;def RR=sres(groebner(M),0);@m=rtimer;def S=betti(RR,1);@t=rtimer;
-  StopAddResTest(RR, S, @t,@m); kill S, RR;
-}
-
-static proc Testlres(def M)
-{
-  int @t,@m;
-  StartAddResTest("lres", "no minres + betti(,1)");
-  option(redSB);option(redTail);
-  timer=0;rtimer=0;def RR=lres(M,0);@m=rtimer;def S=betti(RR,1);@t=rtimer;
-  StopAddResTest(RR, S, @t,@m); kill S, RR;
-
-  StartAddResTest("lres", "minres + betti()");
-  option(redSB);option(redTail);
-  timer=0;rtimer=0;def RR=lres(M,0);@m=rtimer;def S=betti(minres(RR));@t=rtimer;
-  StopAddResTest(RR, S, @t,@m);
-  kill S, RR;
-}
-
-
-static proc Testnres(def M)
-{
-  int @t,@m;
-  StartAddResTest("nres", "no minres + betti(,1)");
-
-  option(redSB); option(redTail);
-  timer=0;rtimer=0;def RR=nres(M,0);@m=rtimer;def S=betti(RR,1);@t=rtimer;
-
-  StopAddResTest(RR, S, @t,@m); kill S, RR;
-}
-
-static proc TestSSresAttribs(def M, list #)
-{
-  M = groebner(M);
-
-  StartResTesting(#);
-
-  attrib(SSinit, "LEAD2SYZ", 0); attrib(SSinit, "TAILREDSYZ", 1); attrib(SSinit, "HYBRIDNF", 0); TestSSSres(M);
-  attrib(SSinit, "LEAD2SYZ", 0); attrib(SSinit, "TAILREDSYZ", 1); attrib(SSinit, "HYBRIDNF", 1); TestSSSres(M);
-
- // WRONG???! LEAD2SYZ?
-//  attrib(SSinit, "LEAD2SYZ", 1); attrib(SSinit, "TAILREDSYZ", 1); attrib(SSinit, "HYBRIDNF", 0); TestSSSres(M);
-//  attrib(SSinit, "LEAD2SYZ", 1); attrib(SSinit, "TAILREDSYZ", 1); attrib(SSinit, "HYBRIDNF", 1); TestSSSres(M);
-
-  int @treeout = attrib(SSinit, "TREEOUTPUT");
-  if( !@treeout )
-  {
-   Testlres(M); Testnres(M);
-//   Testsres(M); //   TestSres(M); // too long for the last medium test :(
-  }
-
-  StopResTesting();
-}
-
-static proc TestSSresAttribs2tr(def M, list #)
-{
-  M = groebner(M);
-
-  StartResTesting(#);
-
-  attrib(SSinit, "LEAD2SYZ", 0); attrib(SSinit, "TAILREDSYZ", 1); attrib(SSinit, "HYBRIDNF", 0); TestSSSres(M);
-  Testlres(M);
-
-  StopResTesting();
-}
-
-static proc testSimple(list #)
-{
-  def DEBUG = 0;
-  if(size(#) > 0) { DEBUG = #[1]; }
-
-  def TREE = 0;
-  if(size(#) > 1) { TREE = #[2]; }
-
-  system("--min-time", "0.01");
-  system("--ticks-per-sec", 100);
-
-//  option(prot);
-
-  // TODO: only for now!!
-  attrib(SSinit, "DEBUG", (DEBUG > 0) );
-  attrib(SSinit, "SYZCHECK", (DEBUG > 0) );
-  attrib(SSinit, "KERCHECK", (DEBUG > 0) );
-
-  attrib(SSinit, "TREEOUTPUT", TREE);
-  attrib(SSinit, "PROFILE", 0);
-  attrib(SSinit, "IGNORETAILS", 0); // not only frame
-
-  attrib(SSinit, "NOCACHING", 0);
-
-  int @treeout = attrib(SSinit, "TREEOUTPUT");
-
-  if( @treeout)
-  {
-    monitor("SimpleTests.json", "o");
-    "{ \"SimpleTests\": [";
-  } else { option(prot); }
-
-
-  ring r; ideal M = maxideal(1);
-  TestSSresAttribs(M, "\\\\GENERATED{" + string(M) + "} in " + string(basering));
-  kill r;
-
-  ring r = 0, (a, b, c, d), lp; ideal M = maxideal(1);
-  TestSSresAttribs(M, "\\\\GENERATED{" + string(M) + "} in " + string(basering));
-  kill r;
-
-  ring R = 0, (w, x, y, z), dp;
-  ideal M = w^2 - x*z,  w*x - y*z,  x^2 - w*y, x*y - z^2, y^2 - w*z;
-  TestSSresAttribs(M, "\\\\GENERATED{" + string(M) + "} in " + string(basering));
-  kill R;
-
-
-  ring r = 0, (a, b, c, d, e, f), dp; ideal M = maxideal(1);
-  TestSSresAttribs(M, "\\\\GENERATED{" + string(M) + "} in " + string(basering));
-  kill r;
-
-
-  ring r = 0, (x, y), lp; ideal M = x2, xy, y2;  // Schreyer conterexample???
-  TestSSresAttribs(M, "\\\\GENERATED{" + string(M) + "} in " + string(basering));
-  kill r;
-
-  ring r = 0, (x, y, z, t), dp; ideal M = homog(xy + y2 +x + 2y -1, t), homog(xz - x -y -z -2, t), homog(yz +1, t);  // TODO: seg. fault?
-  TestSSresAttribs(M, "\\\\GENERATED{" + string(M) + "} in " + string(basering));
-  kill r;
-
-
-  ring AGR = (101), (a, b, c, d), dp;
-  // simple: AGR@101n3d002s004%1:
-  ideal M = c*d, b*d, a*d, c^2-d^2, b*c, a*c, b^2-d^2, a*b, a^2-d^2;
-  TestSSresAttribs(M, "simple: AGR@101n3d002s004%1");
-
-  // medium: AGR@101n3d004s009%1;
-  M = a*b+7*a*c-16*b*c-27*a*d+37*b*d-2*c*d, d^3, c*d^2, b*d^2, a*d^2, c^2*d, b*c*d, a*c*d, b^2*d, a^2*d, c^3, b*c^2, a*c^2, b^2*c, a^2*c, b^3, a^3;
-  TestSSresAttribs(M, "medium: AGR@101n3d004s009%1");
-
-  kill AGR;
-
-
-  string Name = "bordiga"; int @p=31991; ring R = (@p),(x,y,z,u,v), dp;
-  ideal I = -x2y+26/17xy2+70/17y3+96/121x2z+63/82xyz+115/11y2z-8114xz2-40/79yz2+16/125z3+3023x2u-123/70xyu+3395y2u-81/119xzu-23/66yzu+3626z2u+18/53xu2+111/58yu2-34/39zu2+53/40u3-94/17x2v-10/19xyv+81/88y2v-91/33xzv-9967yzv-103/4z2v-26/109xuv+69/97yuv+92/17zuv-19/96u2v+10/21xv2+6147yv2+32/113zv2-79/82uv2-77/51v3,4347x2y-9017xy2+11327y3+18/79x2z-93/43xyz-35/47y2z+14704xz2+10727yz2-1764z3-612x2u+20/107xyu-103/89y2u-39/2xzu+2345yzu+10251z2u-9984xu2-10299yu2+113/118zu2+37/91u3+2/31x2v+9552xyv-47/100y2v-3242xzv+113/27yzv-11271z2v-13/79xuv+15917yuv+5/114zuv+103/119u2v-21/55xv2-59/19yv2+101/68zv2-7817uv2-112/29v3,7228x2y-111/113xy2+5913y3+6/43x2z-11251xyz+27/121y2z+97/96xz2-7398yz2-97/114z3+38/15x2u+5005xyu-41/126y2u-61/116xzu+89/9yzu-4087z2u+26/15xu2-92/103yu2+21/68zu2-4027u3+97/91x2v+5150xyv-4/47y2v-2310xzv+7307yzv-77/86z2v+30/83xuv+413yuv-50zuv-103/106u2v+105/73xv2-109/98yv2+59/63zv2+715uv2+963v3,x3+3487x2y-9744xy2-13276y3-15213x2z-118/51xyz+101/104y2z+2754xz2+9111yz2-17/94z3+11136x2u-43/82xyu-9/41y2u-7306xzu-6839yzu+5692z2u-14682xu2+37/80yu2-85/97zu2-6186u3+34/15x2v+84/109xyv+5086y2v+27/112xzv-3/40yzv+19/120z2v+11222xuv+38/55yuv-24/83zuv+15814u2v-111/61xv2+49/44yv2+125/81zv2+1933uv2-19/71v3;
-  TestSSresAttribs(I, Name);
-  kill @p, Name, R;
-
-  string Name = "rat.d8.g6"; int @p=31991; ring R = (@p),(x,y,z,u,v), dp;
-  ideal I = -19/125x2y2-87/119xy3-97/21y4+36/53x2yz+2069xy2z-59/50y3z-65/33x2z2-14322xyz2+79/60y2z2-9035xz3-14890yz3+87/47z4-23/48x2yu+45/44xy2u+1972y3u+79/118x2zu-5173xyzu+115/121y2zu+1239xz2u-115/17yz2u-15900z3u-78/95x2u2+67/101xyu2-12757y2u2+12752xzu2+68/21yzu2+103/90z2u2-12917xu3+97/92yu3-24/49zu3-13/79u4-51/61x2yv-3103xy2v+77/117y3v+73/115x2zv-79/33xyzv+123/110y2zv+11969xz2v-31/95yz2v-123/95z3v-105/124x2uv+12624xyuv+2/63y2uv+6579xzuv+13/62yzuv+4388z2uv-12747xu2v-26/105yu2v-78/61zu2v-125/53u3v-5/71xyv2+62/77y2v2+21/44xzv2-9806yzv2+3/91z2v2+361xuv2+568yuv2+2926zuv2+53/38u2v2-14523yv3+2082zv3+113/115uv3,108/73x2y2+4028xy3+38/43y4-1944x2yz+39/80xy2z+8/109y3z+52/27x2z2+103/45xyz2+5834y2z2+63/101xz3+107/80yz3+1178z4-1/6x2yu+78/25xy2u-21/43y3u+50/71x2zu-14693xyzu+15074y2zu+9/103xz2u-7396yz2u-14493z3u+93/25x2u2+61/4xyu2-11306y2u2-79/81xzu2+59/82yzu2-5/106z2u2+89/71xu3-34/11yu3+15/103zu3-115/52u4-54/65x2yv+67/16xy2v-7/68y3v-10/13x2zv+32/85xyzv+1/91y2zv+107/118xz2v+7594yz2v-98/103z3v+9919x2uv-965xyuv+53/34y2uv+119/11xzuv-3400yzuv-8329z2uv+75/98xu2v-24yu2v+55/87zu2v-82/71u3v-73/115x2v2+85/19xyv2-213y2v2-7704xzv2-15347yzv2+14960z2v2+15065xuv2-125/17yuv2+32/83zuv2-14/73u2v2-21/44xv3+79/2yv3-61/32zv3+46/119uv3-2082v4,9/20x2y2+113/71xy3-88/65y4+9983x2yz-6722xy2z+87/68y3z+1893x2z2+65/32xyz2+51/55y2z2-102/53xz3+58/5yz3-7187z4-96/7x2yu-14/87xy2u-3532y3u+95/54x2zu+19/65xyzu-6728y2zu+31/121xz2u+73/106yz2u-91/5z3u-12928x2u2+707xyu2-55/48y2u2-96/25xzu2+15869yzu2-20/107z2u2-10030xu3-13786yu3-122/9zu3+19/59u4-7/52x2yv+101/74xy2v+83/6y3v-91/55x2zv-5266xyzv+85/61y2zv+126/95xz2v+56/51yz2v+13073z3v-50/21x2uv-13553xyuv-116/53y2uv+68/71xzuv-111/98yzuv-11037z2uv+68/121xu2v-124/53yu2v+54/55zu2v+5862u3v+12318x2v2-119/29xyv2+101/17y2v2-51/40xzv2-82/33yzv2-30/41z2v2-29/52xuv2+7817yuv2+8121zuv2-28/99u2v2+1125xv3-73/55yv3-14141zv3+8742uv3-1203v4,x2y2+11357xy3+295y4+144x2yz-31/54xy2z+89/119y3z+1/46x2z2+29/26xyz2+1384y2z2+1461xz3+113/91yz3+9494z4-7/32x2yu+12850xy2u-3626y3u-33/106x2zu-7/60xyzu-5935y2zu-8597xz2u+5527yz2u+1708z3u+6182x2u2-15780xyu2+4669y2u2-38/69xzu2+8412yzu2+9265z2u2-5679xu3-67/18yu3-34/67zu3-7178u4+113/56x2yv-3669xy2v+17/113y3v-87/35x2zv-4871xyzv-111/11y2zv-1131xz2v-72/13yz2v+838z3v-115/4x2uv+3395xyuv-43/68y2uv-82/13xzuv+7042yzuv-88/119z2uv+100/19xu2v+24/11yu2v+89/3zu2v+7395u3v-119/109x2v2+1/104xyv2+18/25y2v2+700xzv2-59/9yzv2-92/87z2v2+2486xuv2-67/103yuv2+1469zuv2-101/91u2v2-79/33xv3+10838yv3+81/4zv3-11843uv3+7204v4,19/125x3-15698x2y-22/117xy2-95/107y3+2027x2z-7750xyz+85/104y2z-15326xz2+31/101yz2+67/81z3-7879x2u-112/115xyu+124/81y2u+99/61xzu-7458yzu+40/33z2u-1502xu2+6591yu2-7/73zu2-42/95u3+93/83x2v-15/112xyv-84/95y2v+35/36xzv+5/24yzv-12768z2v+13232xuv-76/103yuv-79/52zuv-7217u2v+75/92xv2-49/64yv2+17/14zv2-6109uv2+1695v3;
-  TestSSresAttribs(I, Name);
-  kill R, Name, @p;
-
-
-  if( @treeout)
-  {
-    "] }";
-    monitor("");
-  }
-
-}
-
-static proc testAGR(list #)
-{
-  def DEBUG = 0;
-  if(size(#) > 0) { DEBUG = #[1]; }
-
-  system("--min-time", "0.01");
-  system("--ticks-per-sec", 100);
-
-  attrib(SSinit, "DEBUG", 0);
-  attrib(SSinit, "SYZCHECK", (DEBUG > 0));
-  attrib(SSinit, "KERCHECK", 0);
-  attrib(SSinit, "TREEOUTPUT", 0);
-  attrib(SSinit, "PROFILE", 0);
-  attrib(SSinit, "IGNORETAILS", 0); // not only frame
-
-  option(prot);
-
-  ring AGR = (101), (a, b, c, d), dp; AGR;
-  // lengthy: AGR@101n3d008s058%3, kernel only!
-  ideal M = 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-  TestSSresAttribs2tr(M, "AGR@101n3d008s058%3");
-
-  // AGR@101n3d010s010%3, a bit slower...
-  M = 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3*d^3+19*c^2*d^6-50*a*d^7-33*b*d^7+16*c*d^7-45*d^8,a*b*c^3*d^3-6*c^2*d^6-38*a*d^7+35*b*d^7+32*c*d^7-12*d^8,a^2*c^3*d^3+44*c^2*d^6+35*a*d^7+42*b*d^7-10*c*d^7-48*d^8,b^3*c^2*d^3+33*c^2*d^6-7*a*d^7-41*b*d^7-3*c*d^7-33*d^8,a*b^2*c^2*d^3-21*c^2*d^6-22*a*d^7-23*b*d^7+24*c*d^7+47*d^8,a^2*b*c^2*d^3+c^2*d^6-32*a*d^7-34*b*d^7-42*c*d^7+7*d^8,a^3*c^2*d^3+6*c^2*d^6-31*a*d^7-26*b*d^7+19*c*d^7-49*d^8,b^4*c*d^3+6*c^2*d^6-24*a*d^7+10*b*d^7-18*c*d^7-4*d^8,a*b^3*c*d^3+46*c^2*d^6+41*a*d^7+7*b*d^7+8*c*d^7-28*d^8,a^2*b^2*c*d^3+33*c^2*d^6-15*a*d^7-11*b*d^7+38*c*d^7+14*d^8,a^3*b*c*d^3-29*c^2*d^6-4*a*d^7-32*b*d^7+13*c*d^7-3*d^8,a^4*c*d^3-34*c^2*d^6+5*a*d^7+29*b*d^7-15*c*d^7-48*d^8,b^5*d^3-42*c^2*d^6+33*a*d^7-49*b*d^7+33*c*d^7-43*d^8,a*b^4*d^3+25*c^2*d^6-11*a*d^7-16*b*d^7+32*c*d^7-2*d^8,a^2*b^3*d^3-36*c^2*d^6-47*a*d^7-16*b*d^7+19*c*d^7+9*d^8,a^3*b^2*d^3-30*c^2*d^6-21*a*d^7-6*b*d^7+16*c*d^7-14*d^8,a^4*b*d^3+47*c^2*d^6-16*a*d^7-13*b*d^7+21*c*d^7+30*d^8,a^5*d^3-2*c^2*d^6+40*a*d^7+34*b*d^7+14*c*d^7-50*d^8,c^6*d^2-4*c^2*d^6-41*a*d^7+46*b*d^7+17*c*d^7+19*d^8,b*c^5*d^2-49*c^2*d^6+5*a*d^7-31*b*d^7+30*c*d^7+28*d^8,a*c^5*d^2-12*c^2*d^6-23*a*d^7-39*b*d^7+6*c*d^7-27*d^8,b^2*c^4*d^2-12*c^2*d^6-30*a*d^7+13*b*d^7-42*c*d^7+38*d^8,a*b*c^4*d^2-31*c^2*d^6+5*a*d^7-41*b*d^7-24*c*d^7,a^2*c^4*d^2-c^2*d^6+4*a*d^7+21*b*d^7+19*c*d^7-34*d^8,b^3*c^3*d^2-50*c^2*d^6-11*a*d^7+24*b*d^7+24*c*d^7-44*d^8,a*b^2*c^3*d^2+2*c^2*d^6-42*a*d^7-17*b*d^7-33*c*d^7-10*d^8,a^2*b*c^3*d^2+20*c^2*d^6+29*a*d^7+35*b*d^7-31*c*d^7-35*d^8,a^3*c^3*d^2+35*c^2*d^6-13*a*d^7+20*b*d^7-15*c*d^7-45*d^8,b^4*c^2*d^2+c^2*d^6+36*a*d^7-42*b*d^7+32*c*d^7+16*d^8,a*b^3*c^2*d^2-9*c^2*d^6-43*a*d^7-5*b*d^7-17*c*d^7+50*d^8,a^2*b^2*c^2*d^2-36*c^2*d^6+31*a*d^7+4*b*d^7-26*c*d^7-11*d^8,a^3*b*c^2*d^2+15*c^2*d^6+40*a*d^7-18*b*d^7-31*c*d^7+43*d^8,a^4*c^2*d^2+41*c^2*d^6-49*a*d^7+37*b*d^7+47*c*d^7-48*d^8,b^5*c*d^2-49*c^2*d^6+15*a*d^7+48*b*d^7+22*c*d^7+38*d^8,a*b^4*c*d^2+12*c^2*d^6+16*a*d^7-22*b*d^7-c*d^7+29*d^8,a^2*b^3*c*d^2+31*c^2*d^6+19*a*d^7+45*b*d^7-6*c*d^7+42*d^8,a^3*b^2*c*d^2+29*c^2*d^6-39*a*d^7+25*b*d^7-48*c*d^7-d^8,a^4*b*c*d^2-31*c^2*d^6+24*a*d^7-2*b*d^7+36*c*d^7+37*d^8,a^5*c*d^2+33*c^2*d^6-46*a*d^7-41*b*d^7-29*c*d^7-12*d^8,b^6*d^2-39*c^2*d^6+35*a*d^7-8*b*d^7+35*c*d^7+47*d^8,a*b^5*d^2-38*c^2*d^6-11*a*d^7-37*b*d^7-7*c*d^7-5*d^8,a^2*b^4*d^2+29*c^2*d^6+36*a*d^7-29*b*d^7+20*c*d^7+39*d^8,a^3*b^3*d^2-44*c^2*d^6+43*a*d^7-50*b*d^7-24*c*d^7-16*d^8,a^4*b^2*d^2+20*c^2*d^6+33*a*d^7+6*b*d^7+47*c*d^7+40*d^8,a^5*b*d^2-10*c^2*d^6+25*a*d^7-8*b*d^7-14*c*d^7+16*d^8,a^6*d^2+48*c^2*d^6+14*a*d^7+32*b*d^7+17*c*d^7+13*d^8,c^7*d+38*c^2*d^6-39*a*d^7+22*b*d^7+15*c*d^7-d^8,b*c^6*d+9*c^2*d^6+37*a*d^7+12*b*d^7+27*c*d^7+3*d^8,a*c^6*d-5*c^2*d^6+34*a*d^7+15*b*d^7+2*c*d^7-21*d^8,b^2*c^5*d+35*c^2*d^6+27*a*d^7+13*b*d^7-39*c*d^7+8*d^8,a*b*c^5*d-34*c^2*d^6-18*a*d^7-21*b*d^7-31*c*d^7+46*d^8,a^2*c^5*d-16*c^2*d^6-6*a*d^7-18*b*d^7+3*c*d^7+47*d^8,b^3*c^4*d-46*c^2*d^6+4*a*d^7-38*b*d^7-29*c*d^7-4*d^8,a*b^2*c^4*d-35*c^2*d^6-14*a*d^7-32*b*d^7-40*c*d^7-35*d^8,a^2*b*c^4*d+23*c^2*d^6-44*a*d^7-3*b*d^7+4*c*d^7-4*d^8,a^3*c^4*d+24*c^2*d^6-7*a*d^7-44*b*d^7-16*c*d^7+10*d^8,b^4*c^3*d+43*c^2*d^6+12*a*d^7+43*b*d^7-49*c*d^7-23*d^8,a*b^3*c^3*d+22*c^2*d^6+6*a*d^7+2*b*d^7-9*c*d^7,a^2*b^2*c^3*d+4*c^2*d^6+21*a*d^7-24*b*d^7-26*c*d^7+33*d^8,a^3*b*c^3*d+13*c^2*d^6-18*a*d^7+31*b*d^7-28*c*d^7+2*d^8,a^4*c^3*d+10*c^2*d^6-14*a*d^7+30*b*d^7-40*c*d^7+33*d^8,b^5*c^2*d-35*c^2*d^6-33*a*d^7+7*b*d^7+13*c*d^7+26*d^8,a*b^4*c^2*d-49*c^2*d^6+9*a*d^7+20*b*d^7+11*c*d^7-32*d^8,a^2*b^3*c^2*d+33*c^2*d^6-43*a*d^7-27*b*d^7-31*c*d^7-41*d^8,a^3*b^2*c^2*d-6*c^2*d^6+23*a*d^7+20*b*d^7-8*c*d^7-6*d^8,a^4*b*c^2*d+10*c^2*d^6-24*a*d^7+30*b*d^7+42*c*d^7-23*d^8,a^5*c^2*d+12*c^2*d^6+20*a*d^7+24*b*d^7-9*c*d^7-9*d^8,b^6*c*d-12*c^2*d^6+36*a*d^7+4*b*d^7-12*c*d^7+26*d^8,a*b^5*c*d-19*c^2*d^6-39*a*d^7-26*b*d^7-4*c*d^7+10*d^8,a^2*b^4*c*d+38*c^2*d^6-6*a*d^7+6*b*d^7+41*c*d^7+49*d^8,a^3*b^3*c*d-34*c^2*d^6-42*a*d^7+22*b*d^7-26*c*d^7-13*d^8,a^4*b^2*c*d+14*c^2*d^6+40*a*d^7+39*b*d^7-34*d^8,a^5*b*c*d-8*c^2*d^6+45*a*d^7-35*b*d^7+48*c*d^7+47*d^8,a^6*c*d-6*c^2*d^6-24*a*d^7-2*b*d^7-9*c*d^7+7*d^8,b^7*d+34*c^2*d^6-14*a*d^7+46*b*d^7-50*c*d^7+26*d^8,a*b^6*d+6*c^2*d^6+23*a*d^7-27*b*d^7-25*c*d^7-2*d^8,c^8+43*c^2*d^6+11*b*d^7-39*c*d^7-30*d^8,b*c^7-44*c^2*d^6-4*a*d^7-10*b*d^7+31*c*d^7+42*d^8,a*c^7-6*a*d^7+31*b*d^7+37*c*d^7-41*d^8,b^2*c^6-11*c^2*d^6-35*a*d^7+32*b*d^7-25*c*d^7-21*d^8,a*b*c^6+2*c^2*d^6+43*a*d^7-48*b*d^7-49*c*d^7-19*d^8,a^2*c^6-20*c^2*d^6-11*a*d^7-35*b*d^7-33*c*d^7+28*d^8,b^3*c^5+4*c^2*d^6-7*a*d^7-21*b*d^7-14*c*d^7+48*d^8,a*b^2*c^5+17*c^2*d^6+45*a*d^7-32*b*d^7+29*c*d^7+38*d^8,a^2*b*c^5-13*c^2*d^6+46*a*d^7+4*b*d^7-18*c*d^7+19*d^8,a^3*c^5-23*c^2*d^6-a*d^7-3*b*d^7-15*c*d^7+19*d^8,b^4*c^4-50*c^2*d^6+39*a*d^7+49*b*d^7+47*c*d^7+7*d^8,a*b^3*c^4-33*c^2*d^6+10*a*d^7+32*b*d^7+21*c*d^7-39*d^8,a^2*b^2*c^4+23*c^2*d^6+27*a*d^7-17*b*d^7+29*c*d^7+9*d^8,a^3*b*c^4-47*c^2*d^6-43*a*d^7-47*b*d^7-34*c*d^7-23*d^8,a^4*c^4-6*c^2*d^6+7*a*d^7+38*b*d^7-27*c*d^7-9*d^8,b^5*c^3-47*c^2*d^6+18*a*d^7-44*b*d^7-4*c*d^7-18*d^8,a*b^4*c^3+30*c^2*d^6+36*a*d^7+25*b*d^7+42*c*d^7+d^8,a^2*b^3*c^3+10*c^2*d^6+31*a*d^7+45*b*d^7-44*c*d^7+37*d^8,a^3*b^2*c^3-41*c^2*d^6-15*a*d^7-34*b*d^7-22*c*d^7+28*d^8,a^4*b*c^3+19*c^2*d^6-23*a*d^7+18*b*d^7-13*c*d^7-48*d^8,a^5*c^3+16*c^2*d^6+22*a*d^7-31*b*d^7+33*c*d^7+15*d^8,b^6*c^2-42*c^2*d^6-10*a*d^7-16*b*d^7-46*c*d^7+42*d^8,a*b^5*c^2-23*c^2*d^6+34*a*d^7-37*b*d^7+2*c*d^7+10*d^8,a^2*b^4*c^2-45*c^2*d^6-5*a*d^7+43*b*d^7-18*c*d^7+7*d^8,a^3*b^3*c^2+36*c^2*d^6+19*a*d^7+21*b*d^7+46*c*d^7-24*d^8,a^4*b^2*c^2-17*c^2*d^6+30*a*d^7-39*b*d^7-39*c*d^7-24*d^8,a^5*b*c^2+10*c^2*d^6-24*a*d^7-36*b*d^7-14*c*d^7+26*d^8,a^6*c^2+47*c^2*d^6-41*a*d^7+32*b*d^7+6*c*d^7+42*d^8,b^7*c+44*c^2*d^6-6*a*d^7+5*b*d^7+20*c*d^7+50*d^8,a*b^6*c+29*c^2*d^6-16*a*d^7+45*b*d^7-3*c*d^7+14*d^8,b^8+48*c^2*d^6-40*a*d^7-44*b*d^7-10*c*d^7-23*d^8,a*b^7-32*c^2*d^6-41*a*d^7-11*b*d^7+50*c*d^7+13*d^8,d^9,c*d^8,b*d^8,a*d^8,c^2*d^7;
-  TestSSresAttribs2tr(M, "AGR@101n3d010s010%3");
-  kill AGR;
-
-  ring AGR = (101), (a,b,c,d,e,f,g,h), dp; AGR;
-  // AGR@101n7d005s010%2, medium: <= 2
-  ideal M =
-f*h-g*h,e*h-g*h,d*h-g*h,c*h-g*h,b*h-g*h,a*h-g*h,e*g+48*f*g-49*g*h,d*g+5*f*g-6*g*h,c*g+49*f*g-50*g*h,b*g-7*f*g+6*g*h,a*g-50*f*g+49*g*h,e*f-20*f*g+19*g*h,d*f+40*f*g-41*g*h,c*f-12*f*g+11*g*h,b*f+45*f*g-46*g*h,a*f+4*f*g-5*g*h,d*e-f*g,c*e-30*f*g+29*g*h,b*e-39*f*g+38*g*h,a*e+10*f*g-11*g*h,c*d-41*f*g+40*g*h,b*d-23*f*g+22*g*h,a*d-20*f*g+19*g*h,b*c+17*f*g-18*g*h,a*c+6*f*g-7*g*h,a*b+28*f*g-29*g*h,g^2*h-g*h^2,f^2*g-8*f*g^2+7*g*h^2,g*h^4+50*h^5,g^5+41*h^5,f*g^4-18*h^5,f^5+29*h^5,e^5+6*h^5,d^5-23*h^5,c^5-32*h^5,
-b^5+17*h^5,a^5+17*h^5,h^6;
-  TestSSresAttribs2tr(M, "AGR@101n7d005s010%2");
-  kill AGR;
-
-// from Andreas...tooo long!?
-
-  ring AGR = (101), (a,b,c,d,e), dp; AGR;
-
-  // AGR101n4d007s021%4
-  ideal M = b^3*c*d-44*a*b*c^2*d-23*b^2*c^2*d-17*a*c^3*d+25*b*c^3*d-28*c^4*d+21*a^3*d^2+28*a^2*b*d^2+45*a*b^2*d^2-45*b^3*d^2+39*a^2*c*d^2+50*a*b*c*d^2-31*b^2*c*d^2+25*a*c^2*d^2-42*b*c^2*d^2-6*c^3*d^2+10*a^2*d^3-18*a*b*d^3-21*b^2*d^3-9*a*c*d^3+37*b*c*d^3-18*c^2*d^3+5*a*d^4+b*d^4-18*c*d^4+23*d^5-5*a^4*e+6*a^3*b*e-21*a^2*b^2*e-28*a*b^3*e+11*b^4*e+19*a^3*c*e+29*a^2*b*c*e-25*a*b^2*c*e-8*b^3*c*e+17*a^2*c^2*e+45*a*b*c^2*e-28*b^2*c^2*e+22*a*c^3*e+33*b*c^3*e+27*c^4*e-50*a^3*d*e+11*a^2*b*d*e-45*a*b^2*d*e-5*b^3*d*e-2*a^2*c*d*e-30*a*b*c*d*e-17*b^2*c*d*e-45*a*c^2*d*e+12*b*c^2*d*e-8*c^3*d*e+12*a^2*d^2*e+a*b*d^2*e-13*b^2*d^2*e-20*a*c*d^2*e+47*b*c*d^2*e-10*c^2*d^2*e+8*a*d^3*e+32*b*d^3*e-8*c*d^3*e+47*d^4*e+43*a^3*e^2+23*a^2*b*e^2+12*a*b^2*e^2+25*b^3*e^2-23*a^2*c*e^2-12*a*b*c*e^2+5*b^2*c*e^2-25*a*c^2*e^2-8*b*c^2*e^2-48*c^3*e^2+22*a^2*d*e^2+27*a*b*d*e^2-21*b^2*d*e^2+35*a*c*d*e^2-5*b*c*d*e^2+14*c^2*d*e^2+3*a*d^2*e^2-35*b*d^2*e^2+24*c*d^2*e^2-12*d^3*e^2-30*a^2*e^3+5*a*b*e^3-29*b^2*e^3-17*a*c*e^3-41*b*c*e^3-41*c^2*e^3-a*d*e^3-41*b*d*e^3+6*c*d*e^3+24*d^2*e^3+38*a*e^4+46*b*e^4+5*c*e^4-48*d*e^4-33*e^5,
-a*b^2*c*d-8*a^2*c^2*d+35*a*b*c^2*d-9*b^2*c^2*d+41*a*c^3*d+11*b*c^3*d+36*c^4*d-36*a^3*d^2-11*a^2*b*d^2-45*a*b^2*d^2+20*b^3*d^2-38*a^2*c*d^2-21*a*b*c*d^2-26*b^2*c*d^2+26*a*c^2*d^2+45*b*c^2*d^2+2*c^3*d^2+35*a^2*d^3-15*a*b*d^3-30*b^2*d^3-37*a*c*d^3+3*b*c*d^3+29*c^2*d^3-39*a*d^4-13*b*d^4+42*c*d^4+50*d^5-47*a^4*e+a^3*b*e-10*a^2*b^2*e+10*a*b^3*e-19*b^4*e+47*a^3*c*e+29*a^2*b*c*e+33*a*b^2*c*e-7*b^3*c*e+29*a^2*c^2*e-2*b^2*c^2*e-19*a*c^3*e+16*b*c^3*e+44*c^4*e+47*a^3*d*e-14*a^2*b*d*e+48*a*b^2*d*e-21*b^3*d*e+13*a^2*c*d*e+4*a*b*c*d*e+20*b^2*c*d*e-3*a*c^2*d*e-34*b*c^2*d*e-2*c^3*d*e+10*a^2*d^2*e+38*a*b*d^2*e+18*b^2*d^2*e-a*c*d^2*e+24*b*c*d^2*e-11*c^2*d^2*e+24*a*d^3*e-10*b*d^3*e+15*c*d^3*e-44*d^4*e+6*a^3*e^2-7*a^2*b*e^2+30*a*b^2*e^2+25*b^3*e^2+40*a^2*c*e^2+33*a*b*c*e^2+26*b^2*c*e^2-2*a*c^2*e^2-2*b*c^2*e^2+32*c^3*e^2+31*a^2*d*e^2+50*a*b*d*e^2-5*b^2*d*e^2-43*a*c*d*e^2+37*b*c*d*e^2-16*c^2*d*e^2+39*a*d^2*e^2+15*b*d^2*e^2+35*c*d^2*e^2-47*d^3*e^2+38*a^2*e^3+7*a*b*e^3+16*b^2*e^3+43*a*c*e^3+23*b*c*e^3+9*c^2*e^3+37*a*d*e^3-18*b*d*e^3+32*c*d*e^3-2*d^2*e^3-31*a*e^4+18*b*e^4-35*c*e^4+9*d*e^4-49*e^5,
-a^2*b*c*d+7*a^2*c^2*d-15*a*b*c^2*d+20*b^2*c^2*d+8*a*c^3*d-14*b*c^3*d+34*c^4*d+15*a^3*d^2+37*a^2*b*d^2-11*a*b^2*d^2-8*b^3*d^2-15*a^2*c*d^2-22*a*b*c*d^2-30*b^2*c*d^2+23*a*c^2*d^2+34*b*c^2*d^2+41*c^3*d^2-27*a^2*d^3+24*b^2*d^3-15*a*c*d^3+20*b*c*d^3-16*c^2*d^3-31*a*d^4+18*b*d^4-21*c*d^4+19*d^5+20*a^4*e+38*a^3*b*e-7*a^2*b^2*e+8*a*b^3*e-35*b^4*e+30*a^3*c*e-13*a^2*b*c*e+39*a*b^2*c*e-50*b^3*c*e+50*a^2*c^2*e-21*a*b*c^2*e+17*b^2*c^2*e-23*a*c^3*e+32*b*c^3*e-43*c^4*e-39*a^3*d*e+16*a^2*b*d*e+25*a*b^2*d*e-12*b^3*d*e+50*a^2*c*d*e+4*a*b*c*d*e-17*b^2*c*d*e-28*a*c^2*d*e-5*b*c^2*d*e+13*c^3*d*e+23*a^2*d^2*e+17*a*b*d^2*e+14*b^2*d^2*e-2*a*c*d^2*e+3*b*c*d^2*e+20*c^2*d^2*e-14*a*d^3*e+5*b*d^3*e-c*d^3*e+29*d^4*e-42*a^3*e^2-38*a^2*b*e^2-44*a*b^2*e^2-4*b^3*e^2+29*a^2*c*e^2-19*a*b*c*e^2+38*b^2*c*e^2+3*a*c^2*e^2-46*b*c^2*e^2-46*c^3*e^2-44*a^2*d*e^2+16*a*b*d*e^2-38*b^2*d*e^2+12*a*c*d*e^2+45*b*c*d*e^2-48*c^2*d*e^2+34*a*d^2*e^2+32*b*d^2*e^2+37*c*d^2*e^2+34*d^3*e^2+30*a^2*e^3+45*a*b*e^3+8*b^2*e^3+40*a*c*e^3-37*b*c*e^3-16*c^2*e^3-50*a*d*e^3-18*b*d*e^3-9*c*d*e^3-37*a*e^4-22*b*e^4+5*c*e^4+d*e^4+9*e^5,
-a^3*c*d-44*a^2*c^2*d-38*a*b*c^2*d-26*b^2*c^2*d-12*a*c^3*d-21*b*c^3*d+43*c^4*d-22*a^3*d^2-23*a^2*b*d^2+32*a*b^2*d^2+45*b^3*d^2-48*a^2*c*d^2-40*a*b*c*d^2+3*b^2*c*d^2+2*a*c^2*d^2-27*b*c^2*d^2-35*c^3*d^2+33*a^2*d^3-11*a*b*d^3-5*b^2*d^3+8*a*c*d^3-42*b*c*d^3+41*c^2*d^3-41*b*d^4+29*c*d^4+5*d^5+32*a^4*e-46*a^3*b*e-46*a^2*b^2*e+19*a*b^3*e-14*b^4*e-24*a^3*c*e+3*a^2*b*c*e-22*a*b^2*c*e+49*b^3*c*e-47*a^2*c^2*e+27*a*b*c^2*e+48*b^2*c^2*e+20*a*c^3*e-3*b*c^3*e-11*c^4*e-21*a^3*d*e+a^2*b*d*e-13*a*b^2*d*e-33*b^3*d*e+13*a^2*c*d*e-3*a*b*c*d*e+15*b^2*c*d*e+35*a*c^2*d*e-20*b*c^2*d*e+45*c^3*d*e-14*a^2*d^2*e+11*a*b*d^2*e-38*b^2*d^2*e+40*a*c*d^2*e-30*b*c*d^2*e+14*c^2*d^2*e-26*a*d^3*e-43*b*d^3*e+38*c*d^3*e-24*d^4*e-10*a^3*e^2-31*a^2*b*e^2+a*b^2*e^2-34*b^3*e^2+5*a^2*c*e^2-12*a*b*c*e^2-6*b^2*c*e^2-30*a*c^2*e^2-b*c^2*e^2+31*c^3*e^2+22*a^2*d*e^2-26*a*b*d*e^2+9*b^2*d*e^2+32*a*c*d*e^2+24*b*c*d*e^2-36*c^2*d*e^2-a*d^2*e^2-14*b*d^2*e^2-24*c*d^2*e^2+7*d^3*e^2+38*a^2*e^3+35*a*b*e^3+16*b^2*e^3+25*a*c*e^3-30*b*c*e^3+30*c^2*e^3-25*a*d*e^3+3*b*d*e^3+40*c*d*e^3+16*d^2*e^3+45*a*e^4+15*b*e^4-12*c*e^4+42*d*e^4+7*e^5,
-b^4*d+14*a^2*c^2*d+2*a*b*c^2*d+34*b^2*c^2*d-12*a*c^3*d+20*b*c^3*d-20*c^4*d+4*a^3*d^2-47*a^2*b*d^2-34*a*b^2*d^2-22*b^3*d^2+23*a^2*c*d^2-22*a*b*c*d^2-31*b^2*c*d^2-24*a*c^2*d^2+39*b*c^2*d^2-37*c^3*d^2-39*a^2*d^3-49*a*b*d^3-41*b^2*d^3-44*a*c*d^3+33*b*c*d^3-14*c^2*d^3-49*a*d^4+20*b*d^4+37*c*d^4+34*d^5+50*a^4*e-31*a^3*b*e-18*a^2*b^2*e-16*a*b^3*e+45*b^4*e+32*a^3*c*e+43*a^2*b*c*e-27*a*b^2*c*e+5*b^3*c*e+39*a^2*c^2*e+33*a*b*c^2*e-16*b^2*c^2*e-6*a*c^3*e-35*b*c^3*e-4*c^4*e-19*a^3*d*e+25*a^2*b*d*e-20*a*b^2*d*e+6*b^3*d*e-46*a^2*c*d*e-8*a*b*c*d*e+5*b^2*c*d*e+2*a*c^2*d*e-39*b*c^2*d*e-30*c^3*d*e+50*a^2*d^2*e-3*a*b*d^2*e-22*b^2*d^2*e+42*a*c*d^2*e-9*b*c*d^2*e+17*c^2*d^2*e+33*a*d^3*e+29*b*d^3*e-10*c*d^3*e+5*d^4*e+15*a^3*e^2+12*a^2*b*e^2-12*a*b^2*e^2+17*b^3*e^2+26*a^2*c*e^2+23*a*b*c*e^2+4*b^2*c*e^2-8*a*c^2*e^2+49*b*c^2*e^2-25*c^3*e^2-24*a^2*d*e^2-19*a*b*d*e^2+26*b^2*d*e^2+38*a*c*d*e^2+48*b*c*d*e^2-28*c^2*d*e^2-15*a*d^2*e^2+31*b*d^2*e^2-47*c*d^2*e^2-5*d^3*e^2-28*a^2*e^3+46*a*b*e^3-25*b^2*e^3-25*a*c*e^3-42*b*c*e^3-39*c^2*e^3-22*a*d*e^3+7*b*d*e^3+4*c*d*e^3-9*d^2*e^3+50*a*e^4-39*b*e^4+44*c*e^4+28*d*e^4+36*e^5,
-a*b^3*d-32*a^2*c^2*d-43*a*b*c^2*d-38*b^2*c^2*d-33*a*c^3*d-34*b*c^3*d+15*c^4*d-10*a^3*d^2+20*a^2*b*d^2+23*a*b^2*d^2-6*b^3*d^2-46*a^2*c*d^2-29*a*b*c*d^2-20*b^2*c*d^2+17*a*c^2*d^2-42*b*c^2*d^2+27*c^3*d^2-15*a^2*d^3-27*a*b*d^3+43*b^2*d^3-a*c*d^3+45*b*c*d^3+7*c^2*d^3+4*a*d^4-5*b*d^4-13*c*d^4-26*d^5-24*a^4*e-5*a^2*b^2*e-27*a*b^3*e-23*b^4*e+9*a^3*c*e+33*a^2*b*c*e+25*a*b^2*c*e+39*b^3*c*e-30*a^2*c^2*e-33*a*b*c^2*e-37*b^2*c^2*e-13*a*c^3*e+49*b*c^3*e-30*c^4*e+8*a^3*d*e+20*a^2*b*d*e+18*a*b^2*d*e-34*b^3*d*e-19*a^2*c*d*e+39*a*b*c*d*e+21*b^2*c*d*e+12*a*c^2*d*e-15*b*c^2*d*e+39*c^3*d*e+34*a^2*d^2*e+49*a*b*d^2*e-10*b^2*d^2*e-46*a*c*d^2*e+18*b*c*d^2*e-6*c^2*d^2*e+9*a*d^3*e+30*b*d^3*e+20*c*d^3*e+3*d^4*e-15*a^3*e^2-18*a^2*b*e^2+5*a*b^2*e^2+14*b^3*e^2+19*a^2*c*e^2+30*a*b*c*e^2-b^2*c*e^2+33*a*c^2*e^2+41*b*c^2*e^2-7*c^3*e^2+12*a^2*d*e^2-13*a*b*d*e^2-3*b^2*d*e^2-49*a*c*d*e^2-17*b*c*d*e^2+29*c^2*d*e^2-19*a*d^2*e^2-38*b*d^2*e^2-10*c*d^2*e^2+50*d^3*e^2-17*a^2*e^3+47*a*b*e^3-7*b^2*e^3-25*a*c*e^3+29*b*c*e^3-41*c^2*e^3-35*a*d*e^3+b*d*e^3+32*c*d*e^3-15*d^2*e^3+9*a*e^4+22*c*e^4+12*d*e^4+36*e^5,
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-a^2*c^3-17*a^2*c^2*d-7*a*b*c^2*d+15*b^2*c^2*d+35*a*c^3*d-36*b*c^3*d-19*c^4*d+20*a^3*d^2-39*a^2*b*d^2-3*a*b^2*d^2-2*b^3*d^2+8*a^2*c*d^2+13*a*b*c*d^2-20*b^2*c*d^2+6*a*c^2*d^2-48*b*c^2*d^2-21*c^3*d^2+46*a^2*d^3+39*a*b*d^3+32*b^2*d^3-2*a*c*d^3+47*b*c*d^3+16*c^2*d^3+20*a*d^4-36*b*d^4-12*c*d^4+28*d^5+24*a^4*e+17*a^3*b*e-21*a^2*b^2*e+31*a*b^3*e+24*b^4*e-45*a^3*c*e+34*a^2*b*c*e+3*a*b^2*c*e+34*b^3*c*e+39*a^2*c^2*e+12*a*b*c^2*e+18*b^2*c^2*e+19*a*c^3*e-13*b*c^3*e+7*c^4*e+16*a^3*d*e-4*a^2*b*d*e+35*a*b^2*d*e+20*b^3*d*e+38*a^2*c*d*e-41*a*b*c*d*e+49*b^2*c*d*e+7*a*c^2*d*e+39*b*c^2*d*e+15*c^3*d*e+32*a^2*d^2*e+35*a*b*d^2*e-36*b^2*d^2*e+11*a*c*d^2*e+11*b*c*d^2*e-26*c^2*d^2*e+2*a*d^3*e-30*b*d^3*e-2*c*d^3*e+5*d^4*e-2*a^3*e^2-45*a^2*b*e^2-10*a*b^2*e^2-42*b^3*e^2+13*a^2*c*e^2+38*a*b*c*e^2+22*b^2*c*e^2+42*a*c^2*e^2+16*b*c^2*e^2+40*c^3*e^2-19*a^2*d*e^2-35*a*b*d*e^2-24*b^2*d*e^2+33*a*c*d*e^2-48*b*c*d*e^2-6*a*d^2*e^2+2*b*d^2*e^2-31*c*d^2*e^2-5*d^3*e^2+45*a^2*e^3+17*a*b*e^3+50*b^2*e^3-18*a*c*e^3+3*b*c*e^3+32*c^2*e^3+34*a*d*e^3-39*b*d*e^3-35*c*d*e^3+22*d^2*e^3-40*a*e^4+43*b*e^4+48*c*e^4-42*d*e^4+8*e^5,
-b^3*c^2+2*a^2*c^2*d-42*a*b*c^2*d-42*b^2*c^2*d+22*a*c^3*d-28*b*c^3*d-24*c^4*d-24*a^3*d^2+40*a^2*b*d^2-7*a*b^2*d^2+31*b^3*d^2+13*a^2*c*d^2+33*a*b*c*d^2+6*b^2*c*d^2+40*a*c^2*d^2+37*b*c^2*d^2+40*c^3*d^2-12*a^2*d^3+26*a*b*d^3+23*b^2*d^3+44*a*c*d^3+13*b*c*d^3-24*c^2*d^3+31*a*d^4+44*b*d^4+32*c*d^4+48*d^5+42*a^4*e+2*a^3*b*e-25*a^2*b^2*e-27*a*b^3*e-21*b^4*e+44*a^3*c*e+50*a^2*b*c*e+42*a*b^2*c*e+28*b^3*c*e+28*a^2*c^2*e+20*a*b*c^2*e+11*b^2*c^2*e-25*a*c^3*e+35*b*c^3*e+11*c^4*e+13*a^3*d*e+13*a^2*b*d*e-33*a*b^2*d*e+26*b^3*d*e+10*a^2*c*d*e-47*a*b*c*d*e+44*b^2*c*d*e-50*a*c^2*d*e+6*b*c^2*d*e+38*c^3*d*e-43*a^2*d^2*e-43*a*b*d^2*e+50*b^2*d^2*e-36*a*c*d^2*e+39*b*c*d^2*e+4*c^2*d^2*e+26*a*d^3*e+6*b*d^3*e-30*c*d^3*e-21*d^4*e+16*a^3*e^2-19*a^2*b*e^2+43*a*b^2*e^2-b^3*e^2-9*a^2*c*e^2-3*a*b*c*e^2-44*b^2*c*e^2-34*a*c^2*e^2-24*b*c^2*e^2+15*c^3*e^2+47*a^2*d*e^2-45*a*b*d*e^2-22*b^2*d*e^2-21*a*c*d*e^2+36*b*c*d*e^2+c^2*d*e^2-13*a*d^2*e^2+47*b*d^2*e^2-12*c*d^2*e^2+16*d^3*e^2-30*a^2*e^3-49*a*b*e^3+40*b^2*e^3+46*a*c*e^3-25*b*c*e^3-38*c^2*e^3-30*a*d*e^3-27*b*d*e^3+47*c*d*e^3+37*d^2*e^3+49*a*e^4+6*b*e^4-6*c*e^4+43*d*e^4+5*e^5,
-a*b^2*c^2-9*a^2*c^2*d+49*a*b*c^2*d+17*b^2*c^2*d-45*a*c^3*d+27*b*c^3*d-8*c^4*d-25*a^3*d^2-23*a^2*b*d^2+47*a*b^2*d^2+8*b^3*d^2+20*a^2*c*d^2+37*a*b*c*d^2+28*b^2*c*d^2+8*a*c^2*d^2+36*b*c^2*d^2+34*c^3*d^2+37*a^2*d^3+23*a*b*d^3+11*b^2*d^3-46*a*c*d^3+45*b*c*d^3-16*c^2*d^3-27*a*d^4-39*b*d^4+31*c*d^4-24*d^5+42*a^4*e-30*a^3*b*e+12*a^2*b^2*e-18*a*b^3*e+8*b^4*e-33*a^3*c*e+21*a^2*b*c*e-9*a*b^2*c*e+10*b^3*c*e+11*a^2*c^2*e-33*a*b*c^2*e-27*b^2*c^2*e+47*a*c^3*e-35*b*c^3*e+15*c^4*e-19*a^3*d*e+20*a^2*b*d*e+41*a*b^2*d*e+39*b^3*d*e+24*a^2*c*d*e-12*a*b*c*d*e-16*b^2*c*d*e+38*a*c^2*d*e-43*b*c^2*d*e+39*c^3*d*e-14*a^2*d^2*e+39*a*b*d^2*e+24*b^2*d^2*e-35*a*c*d^2*e-8*b*c*d^2*e-26*c^2*d^2*e-5*a*d^3*e+34*b*d^3*e+16*c*d^3*e+35*d^4*e-a^3*e^2+44*a^2*b*e^2+33*a*b^2*e^2+41*b^3*e^2+26*a^2*c*e^2-6*a*b*c*e^2-15*b^2*c*e^2-46*a*c^2*e^2-37*b*c^2*e^2-49*c^3*e^2-6*a^2*d*e^2+20*a*b*d*e^2-7*b^2*d*e^2+16*a*c*d*e^2+49*b*c*d*e^2-23*c^2*d*e^2+37*a*d^2*e^2+31*b*d^2*e^2+17*c*d^2*e^2-39*d^3*e^2-46*a^2*e^3-17*a*b*e^3+46*b^2*e^3-31*a*c*e^3+39*b*c*e^3-13*c^2*e^3+40*a*d*e^3+18*b*d*e^3+3*c*d*e^3-6*d^2*e^3-35*a*e^4+22*b*e^4-47*c*e^4-4*d*e^4+35*e^5,
-a^2*b*c^2+25*a^2*c^2*d-27*a*b*c^2*d+43*b^2*c^2*d+3*a*c^3*d+35*b*c^3*d+39*c^4*d+12*a^3*d^2-39*a^2*b*d^2-38*a*b^2*d^2+8*b^3*d^2+14*a^2*c*d^2+42*a*b*c*d^2-16*b^2*c*d^2+32*a*c^2*d^2-26*b*c^2*d^2+31*c^3*d^2-34*a^2*d^3-4*a*b*d^3+40*b^2*d^3+34*a*c*d^3-31*b*c*d^3+11*c^2*d^3+9*a*d^4+27*b*d^4+19*c*d^4-44*d^5-45*a^4*e+43*a^3*b*e-36*a^2*b^2*e+23*a*b^3*e-14*b^4*e-2*a^3*c*e+20*a^2*b*c*e-34*a*b^2*c*e+26*b^3*c*e+2*a^2*c^2*e-32*a*b*c^2*e+35*b^2*c^2*e-44*a*c^3*e-47*b*c^3*e-6*c^4*e+4*a^3*d*e+34*a^2*b*d*e-38*a*b^2*d*e-21*b^3*d*e+45*a^2*c*d*e-25*a*b*c*d*e+30*b^2*c*d*e+43*a*c^2*d*e-2*b*c^2*d*e+17*c^3*d*e+30*a^2*d^2*e+48*a*b*d^2*e+5*b^2*d^2*e+31*a*c*d^2*e+46*b*c*d^2*e+42*c^2*d^2*e-39*a*d^3*e-30*b*d^3*e+34*c*d^3*e+37*d^4*e+45*a^3*e^2-37*a^2*b*e^2+16*a*b^2*e^2-12*b^3*e^2+21*a^2*c*e^2-36*a*b*c*e^2+45*b^2*c*e^2-39*a*c^2*e^2+8*c^3*e^2-47*a^2*d*e^2+38*a*b*d*e^2+48*b^2*d*e^2-30*a*c*d*e^2-40*b*c*d*e^2+34*c^2*d*e^2+42*a*d^2*e^2-38*b*d^2*e^2+24*c*d^2*e^2+37*d^3*e^2-26*a^2*e^3-50*a*b*e^3+10*b^2*e^3-29*a*c*e^3-48*b*c*e^3+8*c^2*e^3+26*a*d*e^3-26*b*d*e^3-44*c*d*e^3+30*d^2*e^3-31*a*e^4-21*b*e^4-44*c*e^4-17*d*e^4+26*e^5,
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-b^5-5*a^2*c^2*d-23*a*b*c^2*d+3*b^2*c^2*d-30*a*c^3*d-48*b*c^3*d-40*c^4*d-21*a^3*d^2-13*a^2*b*d^2+36*a*b^2*d^2-35*b^3*d^2-9*a^2*c*d^2+32*a*b*c*d^2-19*b^2*c*d^2+3*a*c^2*d^2-2*b*c^2*d^2+22*c^3*d^2-37*a^2*d^3+46*a*b*d^3-38*b^2*d^3-33*a*c*d^3-7*b*c*d^3+3*c^2*d^3-33*a*d^4+b*d^4+22*c*d^4+50*d^5-33*a^4*e+18*a^3*b*e+11*a^2*b^2*e-19*a*b^3*e+49*b^4*e+3*a^3*c*e-10*a^2*b*c*e-29*a*b^2*c*e-17*b^3*c*e-15*a^2*c^2*e+30*a*b*c^2*e+39*b^2*c^2*e+7*a*c^3*e-46*b*c^3*e+29*c^4*e-17*a^3*d*e+26*a^2*b*d*e+27*a*b^2*d*e-27*b^3*d*e-27*a^2*c*d*e-7*a*b*c*d*e-36*b^2*c*d*e+18*a*c^2*d*e-34*b*c^2*d*e+31*c^3*d*e+22*a^2*d^2*e-2*a*b*d^2*e+39*b^2*d^2*e+40*a*c*d^2*e+49*b*c*d^2*e-41*c^2*d^2*e-46*a*d^3*e-33*b*d^3*e-40*c*d^3*e+16*d^4*e-37*a^3*e^2-14*a^2*b*e^2-49*a*b^2*e^2+39*b^3*e^2-20*a^2*c*e^2-39*a*b*c*e^2+20*b^2*c*e^2+10*a*c^2*e^2+29*b*c^2*e^2+20*c^3*e^2-19*a^2*d*e^2+37*a*b*d*e^2+20*b^2*d*e^2+26*a*c*d*e^2-8*b*c*d*e^2+14*c^2*d*e^2+24*a*d^2*e^2-14*b*d^2*e^2-33*c*d^2*e^2-18*d^3*e^2-2*a^2*e^3-32*a*b*e^3-37*b^2*e^3+45*a*c*e^3-33*b*c*e^3+28*c^2*e^3-19*a*d*e^3-43*b*d*e^3-10*c*d*e^3+30*d^2*e^3+44*a*e^4+40*b*e^4-20*c*e^4-40*d*e^4-2*e^5,
-a*b^4-14*a^2*c^2*d+14*b^2*c^2*d+36*a*c^3*d+7*b*c^3*d-14*c^4*d-11*a^3*d^2+40*a^2*b*d^2-29*a*b^2*d^2-45*b^3*d^2+23*a^2*c*d^2+8*a*b*c*d^2+28*b^2*c*d^2+42*a*c^2*d^2+14*b*c^2*d^2+42*c^3*d^2-36*a^2*d^3-4*a*b*d^3+6*a*c*d^3-18*b*c*d^3+40*c^2*d^3-47*a*d^4-19*b*d^4-16*c*d^4+31*d^5-15*a^4*e+46*a^3*b*e+13*a^2*b^2*e-18*a*b^3*e+9*b^4*e+50*a^3*c*e-10*a^2*b*c*e-12*a*b^2*c*e+44*b^3*c*e+7*a^2*c^2*e+39*a*b*c^2*e-36*b^2*c^2*e+29*a*c^3*e-37*b*c^3*e-28*c^4*e-43*a^3*d*e+50*a^2*b*d*e-16*a*b^2*d*e+17*b^3*d*e+23*a^2*c*d*e-14*a*b*c*d*e+10*b^2*c*d*e+18*a*c^2*d*e+40*b*c^2*d*e-30*c^3*d*e+44*a^2*d^2*e+26*a*b*d^2*e+17*b^2*d^2*e+9*a*c*d^2*e+37*b*c*d^2*e-38*c^2*d^2*e+46*a*d^3*e+15*b*d^3*e+33*c*d^3*e+20*d^4*e+4*a^3*e^2-43*a^2*b*e^2-14*a*b^2*e^2-29*b^3*e^2+44*a^2*c*e^2-37*a*b*c*e^2-2*b^2*c*e^2+39*a*c^2*e^2-36*b*c^2*e^2+45*c^3*e^2-34*a^2*d*e^2-48*a*b*d*e^2-25*b^2*d*e^2+48*a*c*d*e^2+5*b*c*d*e^2-16*c^2*d*e^2+20*a*d^2*e^2+8*b*d^2*e^2-48*c*d^2*e^2+27*d^3*e^2-39*a^2*e^3-23*a*b*e^3-45*b^2*e^3-34*a*c*e^3-50*b*c*e^3-42*c^2*e^3+50*a*d*e^3+26*b*d*e^3+48*c*d*e^3-37*d^2*e^3-20*a*e^4-19*b*e^4+23*c*e^4+23*d*e^4+12*e^5,
-a^2*b^3-25*a^2*c^2*d+26*a*b*c^2*d+32*b^2*c^2*d-48*a*c^3*d-7*b*c^3*d-44*c^4*d+14*a^3*d^2+19*a^2*b*d^2-7*a*b^2*d^2-15*b^3*d^2+50*a^2*c*d^2-11*a*b*c*d^2-13*b^2*c*d^2-33*a*c^2*d^2-46*b*c^2*d^2+12*c^3*d^2-26*a^2*d^3-11*a*b*d^3+22*b^2*d^3+24*a*c*d^3-12*b*c*d^3-22*c^2*d^3+40*a*d^4-23*b*d^4-48*c*d^4-20*d^5+17*a^4*e-41*a^3*b*e-a^2*b^2*e-12*a*b^3*e-9*b^4*e-30*a^3*c*e+50*a^2*b*c*e+31*a*b^2*c*e+5*b^3*c*e+33*a^2*c^2*e+15*a*b*c^2*e-50*b^2*c^2*e+24*a*c^3*e-b*c^3*e-6*c^4*e-31*a^3*d*e-26*a^2*b*d*e+49*a*b^2*d*e-13*b^3*d*e+43*a^2*c*d*e-10*a*b*c*d*e+35*b^2*c*d*e+36*a*c^2*d*e-22*b*c^2*d*e+40*c^3*d*e-7*a^2*d^2*e+28*a*b*d^2*e-b^2*d^2*e+17*a*c*d^2*e+13*b*c*d^2*e+26*c^2*d^2*e+32*a*d^3*e+3*b*d^3*e+12*c*d^3*e+40*d^4*e-40*a^3*e^2+12*a^2*b*e^2+27*a*b^2*e^2-24*b^3*e^2+13*a^2*c*e^2-19*a*b*c*e^2-27*b^2*c*e^2-28*a*c^2*e^2+50*b*c^2*e^2-48*c^3*e^2-14*a^2*d*e^2+26*a*b*d*e^2+35*b^2*d*e^2-43*a*c*d*e^2+42*b*c*d*e^2+9*c^2*d*e^2-10*a*d^2*e^2+21*c*d^2*e^2-5*d^3*e^2-30*a^2*e^3+38*a*b*e^3-25*b^2*e^3-28*a*c*e^3+23*b*c*e^3+38*c^2*e^3-30*a*d*e^3-16*b*d*e^3-35*c*d*e^3+2*d^2*e^3+33*a*e^4+12*b*e^4-25*c*e^4+26*d*e^4-40*e^5,
-a^3*b^2-40*a^2*c^2*d+50*a*b*c^2*d+25*b^2*c^2*d+46*a*c^3*d-45*b*c^3*d-6*c^4*d-24*a^3*d^2-9*a^2*b*d^2-15*a*b^2*d^2+5*b^3*d^2+36*a^2*c*d^2-19*a*b*c*d^2+19*b^2*c*d^2+17*a*c^2*d^2+12*b*c^2*d^2-25*c^3*d^2-33*a^2*d^3-27*a*b*d^3+42*b^2*d^3-4*a*c*d^3+33*b*c*d^3+32*c^2*d^3+10*a*d^4+47*c*d^4-3*d^5-23*a^4*e-45*a^3*b*e+41*a^2*b^2*e+47*a*b^3*e+15*b^4*e-2*a^3*c*e+12*a^2*b*c*e+13*a*b^2*c*e-45*b^3*c*e-28*a^2*c^2*e-3*a*b*c^2*e-37*b^2*c^2*e+39*a*c^3*e+37*c^4*e-12*a^3*d*e-48*a^2*b*d*e-5*a*b^2*d*e+47*b^3*d*e-41*a^2*c*d*e-36*a*b*c*d*e-37*b^2*c*d*e-a*c^2*d*e-38*b*c^2*d*e+17*c^3*d*e-29*a^2*d^2*e-3*a*b*d^2*e-23*b^2*d^2*e-19*a*c*d^2*e+43*b*c*d^2*e-48*c^2*d^2*e-46*a*d^3*e+48*b*d^3*e+40*c*d^3*e-15*d^4*e-23*a^3*e^2-22*a^2*b*e^2-50*a*b^2*e^2-33*b^3*e^2+27*a^2*c*e^2-46*a*b*c*e^2+29*b^2*c*e^2-14*a*c^2*e^2+9*b*c^2*e^2-43*c^3*e^2-19*a^2*d*e^2-38*a*b*d*e^2+12*b^2*d*e^2+18*a*c*d*e^2+20*b*c*d*e^2+3*c^2*d*e^2-9*a*d^2*e^2-27*b*d^2*e^2-6*c*d^2*e^2+38*d^3*e^2+43*a^2*e^3+43*a*b*e^3+3*b^2*e^3+10*a*c*e^3+8*b*c*e^3+13*c^2*e^3+37*a*d*e^3+b*d*e^3-21*c*d*e^3+27*d^2*e^3+26*a*e^4-29*b*e^4-39*c*e^4+29*d*e^4+21*e^5,
-a^4*b-45*a^2*c^2*d-6*a*b*c^2*d-42*b^2*c^2*d-4*a*c^3*d-49*b*c^3*d+14*c^4*d+35*a^3*d^2-3*a^2*b*d^2+23*a*b^2*d^2+21*b^3*d^2-24*a^2*c*d^2-14*a*b*c*d^2+20*b^2*c*d^2-20*a*c^2*d^2+41*b*c^2*d^2-34*c^3*d^2-13*a^2*d^3-48*a*b*d^3-13*b^2*d^3+38*a*c*d^3+21*b*c*d^3+40*c^2*d^3-28*a*d^4-34*b*d^4+38*c*d^4-24*d^5-48*a^4*e-2*a^3*b*e-35*a^2*b^2*e+2*a*b^3*e-25*b^4*e+47*a^3*c*e-14*a^2*b*c*e+25*a*b^2*c*e-12*b^3*c*e-11*a^2*c^2*e+22*a*b*c^2*e+15*b^2*c^2*e+17*a*c^3*e+47*b*c^3*e-43*c^4*e+28*a^3*d*e+9*a^2*b*d*e+6*a*b^2*d*e+30*a^2*c*d*e+31*a*b*c*d*e-2*b^2*c*d*e-6*a*c^2*d*e-45*b*c^2*d*e-24*c^3*d*e-39*a^2*d^2*e-7*a*b*d^2*e-11*b^2*d^2*e+8*a*c*d^2*e-47*b*c*d^2*e+c^2*d^2*e+30*a*d^3*e-30*b*d^3*e-38*c*d^3*e-14*d^4*e-25*a^3*e^2-14*a^2*b*e^2+24*a*b^2*e^2-37*b^3*e^2-14*a^2*c*e^2+40*a*b*c*e^2+27*b^2*c*e^2+22*a*c^2*e^2-38*b*c^2*e^2+43*c^3*e^2-44*a^2*d*e^2+28*a*b*d*e^2-4*b^2*d*e^2-26*a*c*d*e^2+18*b*c*d*e^2+24*c^2*d*e^2-35*a*d^2*e^2+6*b*d^2*e^2+5*c*d^2*e^2-38*d^3*e^2-37*a^2*e^3+34*a*b*e^3-27*b^2*e^3-4*a*c*e^3-3*b*c*e^3-16*c^2*e^3+22*a*d*e^3-4*b*d*e^3-41*c*d*e^3+25*d^2*e^3-38*a*e^4+49*b*e^4+c*e^4+14*d*e^4+47*e^5,
-a^5-45*a^2*c^2*d-14*a*b*c^2*d-47*b^2*c^2*d-8*a*c^3*d+13*b*c^3*d+50*c^4*d-34*a^3*d^2-5*a^2*b*d^2+36*a*b^2*d^2+11*b^3*d^2+41*a^2*c*d^2-32*a*b*c*d^2+41*b^2*c*d^2-40*a*c^2*d^2+14*b*c^2*d^2+5*c^3*d^2+25*a^2*d^3+10*a*b*d^3-24*b^2*d^3-33*b*c*d^3-21*c^2*d^3+a*d^4+44*b*d^4-46*c*d^4-23*d^5-13*a^4*e+13*a^3*b*e-49*a*b^3*e+18*b^4*e+2*a^3*c*e+15*a^2*b*c*e-14*a*b^2*c*e-38*b^3*c*e+34*a^2*c^2*e+42*a*b*c^2*e-42*b^2*c^2*e-36*a*c^3*e+35*b*c^3*e-11*c^4*e+20*a^3*d*e+41*a*b^2*d*e+40*b^3*d*e-39*a^2*c*d*e-35*a*b*c*d*e-7*b^2*c*d*e-34*a*c^2*d*e-35*b*c^2*d*e+45*c^3*d*e+17*a^2*d^2*e+39*a*b*d^2*e+5*b^2*d^2*e-35*a*c*d^2*e-26*b*c*d^2*e-47*c^2*d^2*e+5*a*d^3*e-2*b*d^3*e+44*c*d^3*e+9*d^4*e-12*a^3*e^2+49*a^2*b*e^2-2*a*b^2*e^2-11*b^3*e^2-49*a^2*c*e^2-16*a*b*c*e^2-34*b^2*c*e^2+19*a*c^2*e^2-24*b*c^2*e^2-33*c^3*e^2-39*a^2*d*e^2+2*a*b*d*e^2+46*b^2*d*e^2-17*a*c*d*e^2+47*b*c*d*e^2+39*c^2*d*e^2+13*a*d^2*e^2+50*b*d^2*e^2-11*c*d^2*e^2+3*d^3*e^2+22*a^2*e^3-50*a*b*e^3+30*b^2*e^3-22*a*c*e^3-29*b*c*e^3-40*c^2*e^3+34*a*d*e^3+15*b*d*e^3-17*c*d*e^3+43*d^2*e^3+46*a*e^4-19*b*e^4-46*c*e^4-39*d*e^4-e^5,
-e^6, d*e^5, c*e^5, b*e^5, a*e^5, d^2*e^4, c*d*e^4, b*d*e^4, a*d*e^4, c^2*e^4,
-b*c*e^4, a*c*e^4, b^2*e^4, a*b*e^4, a^2*e^4, d^3*e^3, c*d^2*e^3, b*d^2*e^3,
-a*d^2*e^3, c^2*d*e^3, b*c*d*e^3, a*c*d*e^3, b^2*d*e^3, a*b*d*e^3, a^2*d*e^3,
-c^3*e^3, b*c^2*e^3, a*c^2*e^3, b^2*c*e^3, a*b*c*e^3, a^2*c*e^3, b^3*e^3,
-a*b^2*e^3, a^2*b*e^3, a^3*e^3, d^4*e^2, c*d^3*e^2, b*d^3*e^2, a*d^3*e^2,
-c^2*d^2*e^2, b*c*d^2*e^2, a*c*d^2*e^2, b^2*d^2*e^2, a*b*d^2*e^2, a^2*d^2*e^2,
-c^3*d*e^2, b*c^2*d*e^2, a*c^2*d*e^2, b^2*c*d*e^2, a*b*c*d*e^2, a^2*c*d*e^2,
-b^3*d*e^2, a*b^2*d*e^2, a^2*b*d*e^2, a^3*d*e^2, c^4*e^2, b*c^3*e^2, a*c^3*e^2,
-b^2*c^2*e^2, a*b*c^2*e^2;
-  TestSSresAttribs2tr(M, "AGR101n4d007s021%4");
-/*
-options:  1 1 0 :  Time:  5/9/10 (35 without LCM)
-options:  1 1 1 :  Time:  6/8/25
-lres  Time:  5
-nres  Time:  5
-sres  Time:  693
-*/
-
-  kill M;
-
-
-
-  // AGR101n4d008s020%1, too big?
-  ideal M =
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-a^6-2*a^4*d^2+3*a^3*b*d^2+18*a^2*b^2*d^2-46*a*b^3*d^2-31*b^4*d^2+48*a^3*c*d^2+7*a^2*b*c*d^2+26*a*b^2*c*d^2+17*b^3*c*d^2-30*a^2*c^2*d^2-2*a*b*c^2*d^2+5*b^2*c^2*d^2-43*a*c^3*d^2-33*b*c^3*d^2-28*c^4*d^2-26*a^3*d^3-5*a^2*b*d^3+48*a*b^2*d^3+2*b^3*d^3-15*a^2*c*d^3-18*a*b*c*d^3-16*b^2*c*d^3-12*a*c^2*d^3+21*b*c^2*d^3-31*c^3*d^3+34*a^2*d^4-40*a*b*d^4+41*b^2*d^4+21*a*c*d^4+26*b*c*d^4+50*c^2*d^4-20*a*d^5+8*b*d^5+30*c*d^5+48*d^6-37*a^5*e+28*a^4*b*e+8*a^3*b^2*e+30*a^2*b^3*e-a*b^4*e-49*b^5*e-8*a^4*c*e+26*a^3*b*c*e+20*a^2*b^2*c*e+19*a*b^3*c*e-23*b^4*c*e+11*a^3*c^2*e+37*a^2*b*c^2*e+40*a*b^2*c^2*e-33*b^3*c^2*e-26*a^2*c^3*e+12*a*b*c^3*e+29*b^2*c^3*e-a*c^4*e-15*b*c^4*e-24*c^5*e-41*a^4*d*e-4*a^3*b*d*e+42*a^2*b^2*d*e+9*a*b^3*d*e-49*b^4*d*e-11*a^3*c*d*e+21*a^2*b*c*d*e+22*a*b^2*c*d*e+22*b^3*c*d*e-9*a^2*c^2*d*e+27*a*b*c^2*d*e-36*b^2*c^2*d*e-10*a*c^3*d*e-39*b*c^3*d*e-3*c^4*d*e+16*a^3*d^2*e+9*a^2*b*d^2*e+7*a*b^2*d^2*e+33*b^3*d^2*e+42*a^2*c*d^2*e-38*a*b*c*d^2*e+33*b^2*c*d^2*e+41*a*c^2*d^2*e-36*b*c^2*d^2*e-21*c^3*d^2*e+34*a^2*d^3*e-43*a*b*d^3*e+32*b^2*d^3*e-9*a*c*d^3*e-34*b*c*d^3*e-4*c^2*d^3*e-10*a*d^4*e-29*b*d^4*e+4*c*d^4*e+36*d^5*e+40*a^4*e^2-32*a^3*b*e^2+13*a^2*b^2*e^2+22*a*b^3*e^2-15*b^4*e^2+31*a^3*c*e^2+7*a^2*b*c*e^2-15*a*b^2*c*e^2+43*b^3*c*e^2-45*a^2*c^2*e^2-42*a*b*c^2*e^2+41*b^2*c^2*e^2-46*a*c^3*e^2-6*b*c^3*e^2+26*c^4*e^2+45*a^3*d*e^2+11*a^2*b*d*e^2+10*a*b^2*d*e^2+5*b^3*d*e^2+3*a^2*c*d*e^2-49*a*b*c*d*e^2-10*b^2*c*d*e^2-50*a*c^2*d*e^2+38*b*c^2*d*e^2+21*c^3*d*e^2+37*a^2*d^2*e^2+a*b*d^2*e^2+38*b^2*d^2*e^2+25*a*c*d^2*e^2-7*b*c*d^2*e^2-13*c^2*d^2*e^2+32*a*d^3*e^2+37*b*d^3*e^2-27*c*d^3*e^2-7*d^4*e^2+44*a^3*e^3+48*a^2*b*e^3+21*a*b^2*e^3+11*b^3*e^3+9*a^2*c*e^3+49*a*b*c*e^3-39*b^2*c*e^3+24*a*c^2*e^3+35*b*c^2*e^3-11*c^3*e^3+17*a^2*d*e^3+36*a*b*d*e^3-19*b^2*d*e^3-47*a*c*d*e^3-47*b*c*d*e^3-12*c^2*d*e^3+34*a*d^2*e^3+35*b*d^2*e^3+18*d^3*e^3-31*a^2*e^4+45*a*b*e^4+27*b^2*e^4+43*a*c*e^4-35*b*c*e^4-29*c^2*e^4-21*a*d*e^4+49*b*d*e^4-23*c*d*e^4+34*d^2*e^4-2*a*e^5+47*b*e^5+31*c*e^5-46*d*e^5-13*e^6,
-e^7, d*e^6, c*e^6, b*e^6, a*e^6, d^2*e^5, c*d*e^5, b*d*e^5, a*d*e^5, c^2*e^5,
-b*c*e^5, a*c*e^5, b^2*e^5, a*b*e^5, a^2*e^5, d^3*e^4, c*d^2*e^4, b*d^2*e^4,
-a*d^2*e^4, c^2*d*e^4, b*c*d*e^4, a*c*d*e^4, b^2*d*e^4, a*b*d*e^4, a^2*d*e^4,
-c^3*e^4, b*c^2*e^4, a*c^2*e^4, b^2*c*e^4, a*b*c*e^4, a^2*c*e^4, b^3*e^4,
-a*b^2*e^4, a^2*b*e^4, a^3*e^4, d^4*e^3, c*d^3*e^3, b*d^3*e^3, a*d^3*e^3,
-c^2*d^2*e^3, b*c*d^2*e^3, a*c*d^2*e^3, b^2*d^2*e^3, a*b*d^2*e^3, a^2*d^2*e^3,
-c^3*d*e^3, b*c^2*d*e^3, a*c^2*d*e^3, b^2*c*d*e^3, a*b*c*d*e^3, a^2*c*d*e^3,
-b^3*d*e^3, a*b^2*d*e^3, a^2*b*d*e^3, a^3*d*e^3, c^4*e^3, b*c^3*e^3, a*c^3*e^3,
-b^2*c^2*e^3, a*b*c^2*e^3, a^2*c^2*e^3, b^3*c*e^3, a*b^2*c*e^3, a^2*b*c*e^3,
-a^3*c*e^3, b^4*e^3, a*b^3*e^3, a^2*b^2*e^3, a^3*b*e^3, a^4*e^3, d^5*e^2,
-c*d^4*e^2, b*d^4*e^2, a*d^4*e^2, c^2*d^3*e^2, b*c*d^3*e^2, a*c*d^3*e^2,
-b^2*d^3*e^2, a*b*d^3*e^2, a^2*d^3*e^2, c^3*d^2*e^2, b*c^2*d^2*e^2,
-a*c^2*d^2*e^2, b^2*c*d^2*e^2, a*b*c*d^2*e^2;
-//  M;
-  TestSSresAttribs2tr(M, "AGR101n4d008s020%1_big");
-/*
-options:  1 1 0 :  Time:  29/32/73/92 (316 without LCM)
-options:  1 1 1 :  Time:  32/34/43/202
-lres  Time:  24
-nres  Time:  19
-sres  Time:  71
-*/
-  kill M;
-
-  kill AGR;
-
-  ring AGR = (101), (a,b,c,d,e,f), dp; AGR;
-
-  // AGR@101n5d005s016%1, new, medium difficulty?
-  ideal M =
-b*d-13*c*d+7*a*e-32*b*e+31*c*e+3*d*e+46*a*f-13*b*f+22*c*f-19*d*f-33*e*f, a*d+2*c*d-42*a*e+46*b*e+7*c*e-38*d*e+31*a*f+9*b*f+27*c*f-19*d*f-24*e*f, b*c-35*c*d-34*a*e+4*b*e+33*c*e+23*d*e+4*a*f-43*b*f+43*c*f+17*d*f-13*e*f, a*c+49*c*d-28*a*e+18*b*e-23*c*e+3*d*e-5*a*f-23*b*f+2*c*f+46*d*f-40*e*f, a*b-38*c*d+a*e-49*b*e-20*c*e+32*d*e+13*a*f+25*b*f+37*c*f-27*d*f+25*e*f, f^4, e*f^3, d*f^3, c*f^3, b*f^3, a*f^3, e^2*f^2, d*e*f^2, c*e*f^2, b*e*f^2, a*e*f^2, d^2*f^2, c*d*f^2, c^2*f^2, b^2*f^2, a^2*f^2, e^3*f, d*e^2*f, c*e^2*f, b*e^2*f, a*e^2*f, d^2*e*f, d^3*f, c^3*f, b^3*f, a^3*f, e^4, d^4, c^4, b^4, a^4;
-  TestSSresAttribs(M, "AGR@101n5d005s016%1");
-  kill M;
-}
-
-static proc testAGRhard(list #)
-{
-  def DEBUG = 0;
-  if(size(#) > 0) { DEBUG = #[1]; }
-
-  system("--min-time", "0.01");
-  system("--ticks-per-sec", 100);
-
-  attrib(SSinit, "DEBUG", 0);
-  attrib(SSinit, "SYZCHECK", (DEBUG > 0));
-  attrib(SSinit, "KERCHECK", 0);
-  attrib(SSinit, "TREEOUTPUT", 0);
-  attrib(SSinit, "PROFILE", 0);
-
-  option(prot);
-  // AGR@101n5d006s016%1, new, hard
-  ring AGR = (101), (a,b,c,d,e,f), dp; AGR;
-  ideal M =
-b*d+47*c*d-27*a*e+37*b*e+21*c*e+31*d*e-31*a*f+23*b*f+47*c*f+42*d*f+11*e*f, a*d+7*c*d+19*a*e+28*b*e-33*c*e-28*d*e+15*a*f+28*b*f+47*c*f+3*d*f+14*e*f, b*c+29*c*d-25*a*e+12*b*e+23*c*e-50*d*e-17*a*f+30*b*f-37*c*f+35*d*f-e*f, a*c+46*c*d+12*a*e+27*b*e+39*c*e+23*d*e-45*a*f+39*b*f-35*c*f+4*d*f-10*e*f, a*b+38*c*d-18*a*e-34*b*e-30*c*e+38*d*e+22*a*f+34*b*f+39*c*f+30*d*f-19*e*f, f^5, e*f^4, d*f^4, c*f^4, b*f^4, a*f^4, e^2*f^3, d*e*f^3, c*e*f^3, b*e*f^3, a*e*f^3, d^2*f^3, c*d*f^3, c^2*f^3, b^2*f^3, a^2*f^3, e^3*f^2, d*e^2*f^2, c*e^2*f^2, b*e^2*f^2, a*e^2*f^2, d^2*e*f^2, d^3*f^2, c^3*f^2, b^3*f^2, a^3*f^2, e^4*f, e^5, d^5, c^5, b^5, a^5;
-  TestSSresAttribs2tr(M, "AGR@101n5d006s016%1_hard");
- kill M;
-}
+}

Singular/LIB/sing4ti2.lib

@@ -90 +90 @@
 // using standard unix commands
 //----------------------------------------------------------------------
-   j=system("sh","markov sing4ti2 >/dev/null 2>&1");
+   // find the name of markov/4ti2-markov
+   string s_name=system("executable","markov");
+   if (size(s_name)==0) { s_name=system("executable","4ti2-markov"); /* debian*/ }
+   j=system("sh",s_name+" sing4ti2 >/dev/null 2>&1");
    j=system("sh","awk \'BEGIN{ORS=\",\";}{print $0;}\' sing4ti2.mar | sed s/[\\\ \\\t\\\v\\\f]/,/g | sed s/,+/,/g|sed s/,,/,/g|sed s/,,/,/g > sing4ti2.converted");
    if(!defined(keepfiles))
@@ -212 +215 @@
 // using standard unix commands
 //----------------------------------------------------------------------
-   j=system("sh","graver sing4ti2 >/dev/null 2>&1");
+   // find the name of graver/4ti2-graver
+   string s_name=system("executable","graver");
+   if (size(s_name)==0) { s_name=system("executable","4ti2-graver"); /* debian*/ }
+   j=system("sh",s_name+" sing4ti2 >/dev/null 2>&1");
    j=system("sh","awk \'BEGIN{ORS=\",\";}{print $0;}\' sing4ti2.gra | sed s/[\\\ \\\t\\\v\\\f]/,/g | sed s/,+/,/g |sed s/,,/,/g|sed s/,,/,/g > sing4ti2.converted");
    if(!defined(keepfiles))
    {
-      j=system("sh",("rm -f sing4ti2.gra sing4ti2."+fileending));
+     j=system("sh",("rm -f sing4ti2.gra sing4ti2."+fileending));
    }
 //----------------------------------------------------------------------
@@ -332 +338 @@
 // using standard unix commands
 //----------------------------------------------------------------------
-   j=system("sh","hilbert sing4ti2 >/dev/null 2>&1");
+   // find the name of hilbert/4ti2-hilbert
+   string s_name=system("executable","hilbert");
+   if (size(s_name)==0) { s_name=system("executable","4ti2-hilbert"); /* debian*/ }
+   j=system("sh",s_name+" sing4ti2 >/dev/null 2>&1");
    j=system("sh","awk \'BEGIN{ORS=\",\";}{print $0;}\' sing4ti2.hil | sed s/[\\\ \\\t\\\v\\\f]/,/g | sed s/,+/,/g |sed s/,,/,/g|sed s/,,/,/g > sing4ti2.converted");
    if(!defined(keepfiles))

Singular/dyn_modules/gfanlib/bbcone.cc

@@ -1571 +1571 @@
   }
   WerrorS("containsInSupport: unexpected parameters");
-  return TRUE;
-}
-
-BOOLEAN containsInSupportOld(leftv res, leftv args)
-{
-  gfan::initializeCddlibIfRequired();
-  leftv u=args;
-  if ((u != NULL) && (u->Typ() == coneID))
-  {
-    leftv v=u->next;
-    if ((v != NULL) && (v->Typ() == coneID))
-    {
-      gfan::ZCone* zc = (gfan::ZCone*)u->Data();
-      gfan::ZCone* zd = (gfan::ZCone*)v->Data();
-      int d1 = zc->ambientDimension();
-      int d2 = zd->ambientDimension();
-      if (d1 != d2)
-      {
-        Werror("expected cones with same ambient dimensions\n but got"
-               " dimensions %d and %d", d1, d2);
-        return TRUE;
-      }
-      bool b = (zc->contains(*zd) ? 1 : 0);
-      res->rtyp = INT_CMD;
-      res->data = (void*) (long) b;
-      return FALSE;
-    }
-    if ((v != NULL) && ((v->Typ() == BIGINTMAT_CMD) || (v->Typ() == INTVEC_CMD)))
-    {
-      gfan::ZCone* zc = (gfan::ZCone*)u->Data();
-      bigintmat* iv = NULL;
-      if (v->Typ() == INTVEC_CMD)
-      {
-        intvec* iv0 = (intvec*) v->Data();
-        iv = iv2bim(iv0,coeffs_BIGINT)->transpose();
-      }
-      else
-        iv = (bigintmat*)v->Data();
-
-      gfan::ZVector* zv = bigintmatToZVector(iv);
-      int d1 = zc->ambientDimension();
-      int d2 = zv->size();
-      if (d1 != d2)
-      {
-        Werror("expected cones with same ambient dimensions\n but got"
-               " dimensions %d and %d", d1, d2);
-        return TRUE;
-      }
-      int b = zc->contains(*zv);
-      res->rtyp = INT_CMD;
-      res->data = (void*) (long) b;
-
-      delete zv;
-      if (v->Typ() == INTMAT_CMD)
-        delete iv;
-      return FALSE;
-    }
-  }
-  WerrorS("containsInSupportOld: unexpected parameters");
   return TRUE;
 }
@@ -2141 +2082 @@
   p->iiAddCproc("gfan.lib","containsAsFace",FALSE,hasFace);
   p->iiAddCproc("gfan.lib","containsInSupport",FALSE,containsInSupport);
-  p->iiAddCproc("gfan.lib","containsInSupportOld",FALSE,containsInSupportOld);
   p->iiAddCproc("gfan.lib","containsPositiveVector",FALSE,containsPositiveVector);
   p->iiAddCproc("gfan.lib","containsRelatively",FALSE,containsRelatively);

Singular/dyn_modules/syzextra/test.sh

@@ -4 +4 @@
 #"$SINGULAR_EXECUTABLE" -teq "$srcdir/ederc.tst" || exit 1
 #"$SINGULAR_EXECUTABLE" -teq "$srcdir/syzextra.tst" || exit 1
-"$SINGULAR_EXECUTABLE" -tec 'LIB "schreyer.lib"; listvar(Top); proc T(){ Schreyer::testSimple(1, 0); /* Schreyer::testAGR(0); Schreyer::testAGRhard(0); */ } T(); $' || exit 1
+"$SINGULAR_EXECUTABLE" -tec 'LIB "schreyer.lib"; listvar(Top); example Sres; $' || exit 1

Singular/extra.cc

@@ -1153 +1153 @@
           return TRUE;
         }
-        int L = pmLastVblock(p,lVblock);
-        if (L+sh-1 > uptodeg)
+        int L = pLastVblock(p,lVblock);
+        if (L+sh > uptodeg)
         {
           WerrorS("pLPshift: too big shift requested\n");

Singular/grammar.cc

@@ -579 +579 @@
 #define YYFINAL  2
 /* YYLAST -- Last index in YYTABLE.  */
-#define YYLAST   2664
+#define YYLAST   2560
 
 /* YYNTOKENS -- Number of terminals.  */
-#define YYNTOKENS  103
+#define YYNTOKENS  102
 /* YYNNTS -- Number of nonterminals.  */
 #define YYNNTS  44
@@ -603 +603 @@
        2,     2,     2,     2,     2,     2,     2,     2,     2,     2,
        2,     2,     2,     2,     2,     2,     2,     2,     2,     2,
-       2,     2,     2,     2,     2,     2,     2,     2,    96,     2,
-      99,   100,     2,    88,    94,    89,   101,    90,     2,     2,
-       2,     2,     2,     2,     2,     2,     2,     2,    97,    95,
-      86,    85,    87,     2,     2,     2,     2,     2,     2,     2,
+       2,     2,     2,     2,     2,     2,     2,     2,    95,     2,
+      98,    99,     2,    87,    93,    88,   100,    89,     2,     2,
+       2,     2,     2,     2,     2,     2,     2,     2,    96,    94,
+      86,    85,     2,     2,     2,     2,     2,     2,     2,     2,
        2,     2,     2,     2,     2,     2,     2,     2,     2,     2,
        2,     2,     2,     2,     2,     2,     2,     2,     2,     2,
-       2,    91,     2,    92,    93,     2,   102,     2,     2,     2,
+       2,    90,     2,    91,    92,     2,   101,     2,     2,     2,
        2,     2,     2,     2,     2,     2,     2,     2,     2,     2,
        2,     2,     2,     2,     2,     2,     2,     2,     2,     2,
@@ -634 +634 @@
       65,    66,    67,    68,    69,    70,    71,    72,    73,    74,
       75,    76,    77,    78,    79,    80,    81,    82,    83,    84,
-      98
+      97
 };
 
@@ -665 +665 @@
 static const yytype_int16 yyrhs[] =
 {
-     104,     0,    -1,    -1,   104,   105,    -1,   106,    -1,   108,
-      95,    -1,   120,    95,    -1,   146,    -1,    80,    -1,    95,
-      -1,     1,    95,    -1,   141,    -1,   142,    -1,   107,    -1,
-     143,    -1,   144,    -1,   129,    -1,   130,    -1,   131,    -1,
-      57,    66,    -1,   109,    -1,   132,    -1,   133,    -1,   134,
-      -1,   145,    -1,   136,    -1,   137,    -1,   139,    -1,   140,
-      -1,   118,   111,    -1,    69,    -1,   119,    -1,   110,    11,
-     110,    -1,   112,   101,   110,    -1,   110,    99,   100,    -1,
-     110,    99,   111,   100,    -1,    91,   111,    92,    -1,    67,
-      -1,    84,    -1,   121,    -1,    16,    99,   112,   100,    -1,
-      53,    99,   112,   100,    -1,    54,    99,   111,   100,    -1,
-      54,    99,   100,    -1,    55,    99,   112,   100,    -1,    56,
-      99,   111,   100,    -1,    56,    99,   100,    -1,    45,    99,
-     112,   100,    -1,    48,    99,   112,   100,    -1,    49,    99,
-     112,   100,    -1,    51,    99,   112,   100,    -1,    46,    99,
-     112,    94,   112,   100,    -1,    48,    99,   112,    94,   112,
-     100,    -1,    50,    99,   112,    94,   112,   100,    -1,    51,
-      99,   112,    94,   112,   100,    -1,    47,    99,   112,    94,
-     112,    94,   112,   100,    -1,    49,    99,   112,    94,   112,
-      94,   112,   100,    -1,    50,    99,   112,    94,   112,    94,
-     112,   100,    -1,    51,    99,   112,    94,   112,    94,   112,
-     100,    -1,    52,    99,   100,    -1,    52,    99,   111,   100,
-      -1,   128,    99,   112,    94,   112,    94,   112,   100,    -1,
-     128,    99,   112,   100,    -1,    17,    99,   122,    94,   122,
-      94,   126,   100,    -1,    17,    99,   112,   100,    -1,   119,
-      12,    66,    -1,    99,   111,   100,    -1,   111,    94,   112,
-      -1,   112,    -1,   117,    -1,   110,    -1,   112,    91,   112,
-      94,   112,    92,    -1,   112,    91,   112,    92,    -1,    71,
-      99,   112,    94,    45,   100,    -1,    71,    99,   112,    94,
-      48,   100,    -1,    71,    99,   112,    94,    49,   100,    -1,
-      71,    99,   112,    94,    51,   100,    -1,    71,    99,   112,
-      94,    52,   100,    -1,    71,    99,   112,    94,   112,   100,
-      -1,   114,   112,   116,    -1,   114,   112,    85,   112,   116,
-      -1,   115,   112,    94,   112,   116,    -1,    -1,    76,    99,
-     113,   112,   100,    -1,    77,    99,    -1,    72,    99,    -1,
-     100,    -1,   112,    10,    -1,   112,     7,    -1,   112,    88,
-     112,    -1,   112,    89,   112,    -1,   112,    90,   112,    -1,
-     112,    93,   112,    -1,   112,    86,   112,    -1,   112,    96,
-     112,    -1,   112,     9,   112,    -1,   112,     4,   112,    -1,
-     112,     3,   112,    -1,   112,    97,   112,    -1,     8,   112,
-      -1,    89,   112,    -1,   120,   127,    -1,   111,    85,    -1,
-      68,    -1,   102,   112,   102,    -1,    53,   110,    -1,    54,
-     110,    -1,    55,   110,    -1,    56,   110,    -1,   128,   110,
-      91,   112,    92,    91,   112,    92,    -1,   128,   110,    -1,
-     120,    94,   110,    -1,    16,   110,    -1,    65,    -1,   112,
-      -1,    99,   112,    94,   111,   100,    -1,    68,    -1,   123,
-      -1,   123,    99,   111,   100,    -1,   124,    -1,   124,    94,
-     125,    -1,   124,    -1,    99,   125,   100,    -1,    85,    -1,
-      21,    -1,    15,    -1,    14,    -1,    86,   121,    -1,    59,
-      65,    95,    -1,    59,    95,    -1,    57,    65,    95,    -1,
-      58,   111,    -1,    60,   110,    -1,   133,    94,   110,    -1,
-      62,    99,    53,   100,    -1,    62,    99,    54,   100,    -1,
-      62,    99,    55,   100,    -1,    62,    99,    56,   100,    -1,
-      62,    99,    17,   100,    -1,    62,    99,   128,   100,    -1,
-      62,    99,    16,   100,    -1,    62,    99,   110,   100,    -1,
-      62,    99,   110,    94,    53,   100,    -1,    62,    99,   110,
-      94,    54,   100,    -1,    62,    99,   110,    94,    55,   100,
-      -1,    62,    99,   110,    94,    56,   100,    -1,    62,    99,
-     110,    94,    17,   100,    -1,    62,    99,   110,    94,   128,
-     100,    -1,    62,    99,   110,    94,    16,   100,    -1,    62,
-      99,   100,    -1,    17,    -1,   135,   110,   127,   122,    94,
-     122,    94,   126,    -1,   135,   110,    -1,   135,   110,   127,
-     110,    -1,   135,   110,   127,   110,    91,   111,    92,    -1,
-      84,   121,    -1,    63,    -1,    31,    -1,   138,   112,    -1,
-      64,   112,    -1,   111,    -1,    79,    99,   112,   100,    66,
-      -1,    75,    66,    -1,    79,    99,   112,   100,    73,    -1,
+     103,     0,    -1,    -1,   103,   104,    -1,   105,    -1,   107,
+      94,    -1,   119,    94,    -1,   145,    -1,    80,    -1,    94,
+      -1,     1,    94,    -1,   140,    -1,   141,    -1,   106,    -1,
+     142,    -1,   143,    -1,   128,    -1,   129,    -1,   130,    -1,
+      57,    66,    -1,   108,    -1,   131,    -1,   132,    -1,   133,
+      -1,   144,    -1,   135,    -1,   136,    -1,   138,    -1,   139,
+      -1,   117,   110,    -1,    69,    -1,   118,    -1,   109,    11,
+     109,    -1,   111,   100,   109,    -1,   109,    98,    99,    -1,
+     109,    98,   110,    99,    -1,    90,   110,    91,    -1,    67,
+      -1,    84,    -1,   120,    -1,    16,    98,   111,    99,    -1,
+      53,    98,   111,    99,    -1,    54,    98,   110,    99,    -1,
+      54,    98,    99,    -1,    55,    98,   111,    99,    -1,    56,
+      98,   110,    99,    -1,    56,    98,    99,    -1,    45,    98,
+     111,    99,    -1,    48,    98,   111,    99,    -1,    49,    98,
+     111,    99,    -1,    51,    98,   111,    99,    -1,    46,    98,
+     111,    93,   111,    99,    -1,    48,    98,   111,    93,   111,
+      99,    -1,    50,    98,   111,    93,   111,    99,    -1,    51,
+      98,   111,    93,   111,    99,    -1,    47,    98,   111,    93,
+     111,    93,   111,    99,    -1,    49,    98,   111,    93,   111,
+      93,   111,    99,    -1,    50,    98,   111,    93,   111,    93,
+     111,    99,    -1,    51,    98,   111,    93,   111,    93,   111,
+      99,    -1,    52,    98,    99,    -1,    52,    98,   110,    99,
+      -1,   127,    98,   111,    93,   111,    93,   111,    99,    -1,
+     127,    98,   111,    99,    -1,    17,    98,   121,    93,   121,
+      93,   125,    99,    -1,    17,    98,   111,    99,    -1,   118,
+      12,    66,    -1,    98,   110,    99,    -1,   110,    93,   111,
+      -1,   111,    -1,   116,    -1,   109,    -1,   111,    90,   111,
+      93,   111,    91,    -1,   111,    90,   111,    91,    -1,    71,
+      98,   111,    93,    45,    99,    -1,    71,    98,   111,    93,
+      48,    99,    -1,    71,    98,   111,    93,    49,    99,    -1,
+      71,    98,   111,    93,    51,    99,    -1,    71,    98,   111,
+      93,    52,    99,    -1,    71,    98,   111,    93,   111,    99,
+      -1,   113,   111,   115,    -1,   113,   111,    85,   111,   115,
+      -1,   114,   111,    93,   111,   115,    -1,    -1,    76,    98,
+     112,   111,    99,    -1,    77,    98,    -1,    72,    98,    -1,
+      99,    -1,   111,    10,    -1,   111,     7,    -1,   111,    87,
+     111,    -1,   111,    88,   111,    -1,   111,    89,   111,    -1,
+     111,    92,   111,    -1,   111,    86,   111,    -1,   111,    95,
+     111,    -1,   111,     9,   111,    -1,   111,     4,   111,    -1,
+     111,     3,   111,    -1,   111,    96,   111,    -1,     8,   111,
+      -1,    88,   111,    -1,   119,   126,    -1,   110,    85,    -1,
+      68,    -1,   101,   111,   101,    -1,    53,   109,    -1,    54,
+     109,    -1,    55,   109,    -1,    56,   109,    -1,   127,   109,
+      90,   111,    91,    90,   111,    91,    -1,   127,   109,    -1,
+     119,    93,   109,    -1,    16,   109,    -1,    65,    -1,   111,
+      -1,    98,   111,    93,   110,    99,    -1,    68,    -1,   122,
+      -1,   122,    98,   110,    99,    -1,   123,    -1,   123,    93,
+     124,    -1,   123,    -1,    98,   124,    99,    -1,    85,    -1,
+      21,    -1,    15,    -1,    14,    -1,    86,   120,    -1,    59,
+      65,    94,    -1,    59,    94,    -1,    57,    65,    94,    -1,
+      58,   110,    -1,    60,   109,    -1,   132,    93,   109,    -1,
+      62,    98,    53,    99,    -1,    62,    98,    54,    99,    -1,
+      62,    98,    55,    99,    -1,    62,    98,    56,    99,    -1,
+      62,    98,    17,    99,    -1,    62,    98,   127,    99,    -1,
+      62,    98,    16,    99,    -1,    62,    98,   109,    99,    -1,
+      62,    98,   109,    93,    53,    99,    -1,    62,    98,   109,
+      93,    54,    99,    -1,    62,    98,   109,    93,    55,    99,
+      -1,    62,    98,   109,    93,    56,    99,    -1,    62,    98,
+     109,    93,    17,    99,    -1,    62,    98,   109,    93,   127,
+      99,    -1,    62,    98,   109,    93,    16,    99,    -1,    62,
+      98,    99,    -1,    17,    -1,   134,   109,   126,   121,    93,
+     121,    93,   125,    -1,   134,   109,    -1,   134,   109,   126,
+     109,    -1,   134,   109,   126,   109,    90,   110,    91,    -1,
+      84,   120,    -1,    63,    -1,    31,    -1,   137,   111,    -1,
+      64,   111,    -1,   110,    -1,    79,    98,   111,    99,    66,
+      -1,    75,    66,    -1,    79,    98,   111,    99,    73,    -1,
       73,    -1,    74,    -1,    81,    65,    66,    -1,    78,    65,
-      65,    65,    66,    -1,    16,   119,    66,    -1,    70,    65,
-      66,    -1,    70,    65,    65,    66,    -1,    83,   120,    -1,
-      83,   112,    -1,    82,    99,   111,   100,    -1,    82,    99,
-     100,    -1
+      65,    65,    66,    -1,    16,   118,    66,    -1,    70,    65,
+      66,    -1,    70,    65,    65,    66,    -1,    83,   119,    -1,
+      83,   111,    -1,    82,    98,   110,    99,    -1,    82,    98,
+      99,    -1
 };
 
@@ -782 +782 @@
   "ASSUME_CMD", "BREAK_CMD", "CONTINUE_CMD", "ELSE_CMD", "EVAL", "QUOTE",
   "FOR_CMD", "IF_CMD", "SYS_BREAK", "WHILE_CMD", "RETURN", "PARAMETER",
-  "SYSVAR", "'='", "'<'", "'>'", "'+'", "'-'", "'/'", "'['", "']'", "'^'",
-  "','", "';'", "'&'", "':'", "UMINUS", "'('", "')'", "'.'", "'`'",
-  "$accept", "lines", "pprompt", "flowctrl", "example_dummy", "command",
-  "assign", "elemexpr", "exprlist", "expr", "$@1", "quote_start",
-  "assume_start", "quote_end", "expr_arithmetic", "left_value",
-  "extendedid", "declare_ip_variable", "stringexpr", "rlist", "ordername",
-  "orderelem", "OrderingList", "ordering", "cmdeq", "mat_cmd", "filecmd",
-  "helpcmd", "examplecmd", "exportcmd", "killcmd", "listcmd", "ringcmd1",
-  "ringcmd", "scriptcmd", "setrings", "setringcmd", "typecmd", "ifcmd",
-  "whilecmd", "forcmd", "proccmd", "parametercmd", "returncmd", 0
+  "SYSVAR", "'='", "'<'", "'+'", "'-'", "'/'", "'['", "']'", "'^'", "','",
+  "';'", "'&'", "':'", "UMINUS", "'('", "')'", "'.'", "'`'", "$accept",
+  "lines", "pprompt", "flowctrl", "example_dummy", "command", "assign",
+  "elemexpr", "exprlist", "expr", "$@1", "quote_start", "assume_start",
+  "quote_end", "expr_arithmetic", "left_value", "extendedid",
+  "declare_ip_variable", "stringexpr", "rlist", "ordername", "orderelem",
+  "OrderingList", "ordering", "cmdeq", "mat_cmd", "filecmd", "helpcmd",
+  "examplecmd", "exportcmd", "killcmd", "listcmd", "ringcmd1", "ringcmd",
+  "scriptcmd", "setrings", "setringcmd", "typecmd", "ifcmd", "whilecmd",
+  "forcmd", "proccmd", "parametercmd", "returncmd", 0
 };
 #endif
@@ -808 +808 @@
      315,   316,   317,   318,   319,   320,   321,   322,   323,   324,
      325,   326,   327,   328,   329,   330,   331,   332,   333,   334,
-     335,   336,   337,   338,   339,    61,    60,    62,    43,    45,
-      47,    91,    93,    94,    44,    59,    38,    58,   340,    40,
-      41,    46,    96
+     335,   336,   337,   338,   339,    61,    60,    43,    45,    47,
+      91,    93,    94,    44,    59,    38,    58,   340,    40,    41,
+      46,    96
 };
 # endif
@@ -817 +817 @@
 static const yytype_uint8 yyr1[] =
 {
-       0,   103,   104,   104,   105,   105,   105,   105,   105,   105,
-     105,   106,   106,   106,   106,   106,   106,   106,   106,   107,
-     108,   108,   108,   108,   108,   108,   108,   108,   108,   109,
-     110,   110,   110,   110,   110,   110,   110,   110,   110,   110,
-     110,   110,   110,   110,   110,   110,   110,   110,   110,   110,
-     110,   110,   110,   110,   110,   110,   110,   110,   110,   110,
-     110,   110,   110,   110,   110,   110,   110,   111,   111,   112,
-     112,   112,   112,   112,   112,   112,   112,   112,   112,   112,
-     112,   112,   113,   112,   114,   115,   116,   117,   117,   117,
-     117,   117,   117,   117,   117,   117,   117,   117,   117,   117,
-     117,   118,   118,   119,   119,   120,   120,   120,   120,   120,
-     120,   120,   120,   121,   122,   122,   123,   124,   124,   125,
-     125,   126,   126,   127,   128,   128,   128,   129,   130,   130,
-     131,   132,   133,   133,   134,   134,   134,   134,   134,   134,
-     134,   134,   134,   134,   134,   134,   134,   134,   134,   134,
-     135,   136,   136,   136,   136,   137,   138,   138,   139,   140,
-     140,   141,   141,   141,   141,   141,   142,   143,   144,   144,
-     144,   145,   145,   146,   146
+       0,   102,   103,   103,   104,   104,   104,   104,   104,   104,
+     104,   105,   105,   105,   105,   105,   105,   105,   105,   106,
+     107,   107,   107,   107,   107,   107,   107,   107,   107,   108,
+     109,   109,   109,   109,   109,   109,   109,   109,   109,   109,
+     109,   109,   109,   109,   109,   109,   109,   109,   109,   109,
+     109,   109,   109,   109,   109,   109,   109,   109,   109,   109,
+     109,   109,   109,   109,   109,   109,   109,   110,   110,   111,
+     111,   111,   111,   111,   111,   111,   111,   111,   111,   111,
+     111,   111,   112,   111,   113,   114,   115,   116,   116,   116,
+     116,   116,   116,   116,   116,   116,   116,   116,   116,   116,
+     116,   117,   117,   118,   118,   119,   119,   119,   119,   119,
+     119,   119,   119,   120,   121,   121,   122,   123,   123,   124,
+     124,   125,   125,   126,   127,   127,   127,   128,   129,   129,
+     130,   131,   132,   132,   133,   133,   133,   133,   133,   133,
+     133,   133,   133,   133,   133,   133,   133,   133,   133,   133,
+     134,   135,   135,   135,   135,   136,   137,   137,   138,   139,
+     139,   140,   140,   140,   140,   140,   141,   142,   143,   143,
+     143,   144,   144,   145,   145
 };
 
@@ -919 +919 @@
 /* YYPACT[STATE-NUM] -- Index in YYTABLE of the portion describing
    STATE-NUM.  */
-#define YYPACT_NINF -359
+#define YYPACT_NINF -361
 static const yytype_int16 yypact[] =
 {
-    -359,   383,  -359,   -81,  1977,  -359,  -359,  2042,   -75,  -359,
-    -359,   -72,   -64,   -39,   -28,     4,     9,    16,    40,  2107,
-    2172,  2237,  2302,    14,  1977,   -57,  1977,    44,  -359,  1977,
-    -359,  -359,  -359,  -359,   111,    64,    95,  -359,  -359,   136,
-     105,   119,   158,   127,  -359,   166,   147,  2367,   185,   185,
-    1977,  1977,  -359,  1977,  1977,  -359,  -359,  -359,   160,  -359,
-      -2,   -65,  1376,  1977,  1977,  -359,  1977,   245,   -53,  -359,
-    2432,  -359,  -359,  -359,  -359,   165,  -359,  1977,  -359,  -359,
-    1977,  -359,  -359,  -359,  -359,  -359,  -359,  -359,  -359,  -359,
-     164,   -75,   169,   171,   176,   177,  -359,    23,   178,  1977,
-      90,  1376,    -8,  2497,  1977,  1977,  1977,  1977,  1977,  1977,
-    1977,  1587,  1977,    96,  1652,   209,  1977,   247,  1717,   464,
-     183,  -359,   186,   184,  -359,    43,  1782,  1376,    22,  1977,
-    -359,  -359,  -359,  -359,   216,  1977,   218,  1847,  2042,  1376,
-     193,  -359,  -359,    23,   -46,   -55,     3,  -359,  1977,  1912,
-    -359,  1977,  1977,  1977,  -359,  1977,  -359,  1977,  1977,  1977,
-    1977,  1977,  1977,  1977,  1977,  1977,   238,   557,   186,   224,
-    -359,  1977,  -359,  -359,  1977,    -9,  1977,    50,  1376,  1977,
-    1977,  1652,  1977,  1717,  1977,   571,  -359,  1977,   666,   197,
-     682,   698,   712,   262,   279,   726,   398,  -359,   -51,   740,
-    -359,   -43,   835,  -359,   -41,  -359,  -359,   -36,   -16,    79,
-      88,    93,    98,  -359,    33,   115,   227,  -359,   851,  1977,
-     231,   865,  -359,  -359,   -38,  -359,  -359,  -359,  -359,  -359,
-     -22,  1376,   163,  1485,  1485,  1499,    30,    30,    23,   414,
-      18,  1471,    30,  -359,  1977,  -359,  -359,  1977,  -359,   629,
-     509,  1977,   139,  2497,   571,   740,   -19,   835,    46,   509,
-    -359,   881,  -359,  2497,  -359,  1977,  1977,  1977,  -359,  1977,
-    -359,  1977,  1977,  -359,  -359,  -359,  -359,  -359,  -359,  -359,
-    -359,  -359,  -359,  -359,  -359,   862,  -359,  -359,  -359,  2562,
-     895,   232,   -47,  -359,  -359,  -359,  1977,   990,   990,  1977,
-    -359,  1006,   130,  1376,   203,  -359,  -359,  1977,   206,  1020,
-    1036,  1050,  1145,   525,   541,   202,   205,   207,   210,   212,
-     221,   222,   117,   137,   140,   144,   162,  1159,  -359,  -359,
-    -359,  -359,  1175,  -359,  -359,  1189,   234,  1977,  2497,    65,
-     -63,  -359,  1977,  -359,  1977,  1977,  -359,  1977,  -359,  -359,
-    -359,  -359,  -359,  -359,  -359,  -359,  -359,  -359,  -359,  -359,
-    -359,  -359,  -359,  1977,  1977,    77,   215,  -359,  -359,   248,
-     219,  -359,   230,  1203,  1219,  1314,  1330,  1346,  1362,  -359,
-     -63,   239,   240,  1977,  -359,  -359,  -359,  -359,  -359,  -359,
-    -359,  -359,   248,  -359,    68,  -359,  -359
+    -361,   383,  -361,   -84,  1874,  -361,  -361,  1939,   -47,  -361,
+    -361,   -34,   -27,   -23,   -19,   -15,     5,    32,    37,  2004,
+    2069,  2134,  2199,   -26,  1874,   -61,  1874,    45,  -361,  1874,
+    -361,  -361,  -361,  -361,    22,    51,    65,  -361,  -361,   100,
+      73,    92,   130,    94,  -361,   139,   118,  2264,   153,   153,
+    1874,  1874,  -361,  1874,  1874,  -361,  -361,  -361,     3,  -361,
+      10,   -73,  1368,  1874,  1874,  -361,  1874,   211,   -48,  -361,
+    2329,  -361,  -361,  -361,  -361,   128,  -361,  1874,  -361,  -361,
+    1874,  -361,  -361,  -361,  -361,  -361,  -361,  -361,  -361,  -361,
+     131,   -47,   133,   145,   150,   152,  -361,    24,   159,  1874,
+     104,  1368,    -7,  2394,  1874,  1874,  1874,  1874,  1874,  1874,
+    1874,  1484,  1874,   209,  1549,   248,  1874,   258,  1614,   264,
+     187,  -361,   167,   196,  -361,   170,  1679,  1368,   113,  1874,
+    -361,  -361,  -361,  -361,   213,  1874,   227,  1744,  1939,  1368,
+     204,  -361,  -361,    24,   -66,   -69,     4,  -361,  1874,  1809,
+    -361,  1874,  1874,  1874,  -361,  1874,  -361,  1874,  1874,  1874,
+    1874,  1874,  1874,  1874,  1874,  1874,   166,   553,   167,   239,
+    -361,  1874,  -361,  -361,  1874,    -9,  1874,    47,  1368,  1874,
+    1874,  1549,  1874,  1614,  1874,   568,  -361,  1874,   583,   217,
+     677,   692,   707,   184,   235,   722,   399,  -361,   -51,   737,
+    -361,   -50,   752,  -361,   -37,  -361,  -361,    86,   116,   127,
+     135,   138,   142,  -361,     8,   148,   246,  -361,   846,  1874,
+     251,   861,  -361,  -361,   -21,  -361,  -361,  -361,  -361,  -361,
+     -13,  1368,    50,   279,   279,  1397,    31,    31,    24,   414,
+      19,  1383,    31,  -361,  1874,  -361,  -361,  1874,  -361,   287,
+     508,  1874,   280,  2394,   568,   737,   -11,   752,    34,   508,
+    -361,   876,  -361,  2394,  -361,  1874,  1874,  1874,  -361,  1874,
+    -361,  1874,  1874,  -361,  -361,  -361,  -361,  -361,  -361,  -361,
+    -361,  -361,  -361,  -361,  -361,  1367,  -361,  -361,  -361,  2459,
+     891,   252,   -38,  -361,  -361,  -361,  1874,   906,   906,  1874,
+    -361,   921,   206,  1368,   233,  -361,  -361,  1874,   236,  1015,
+    1030,  1045,  1060,   523,   538,   241,   249,   256,   262,   271,
+     288,   289,   189,   210,   240,   255,   261,  1075,  -361,  -361,
+    -361,  -361,  1090,  -361,  -361,  1184,   242,  1874,  2394,    66,
+     -62,  -361,  1874,  -361,  1874,  1874,  -361,  1874,  -361,  -361,
+    -361,  -361,  -361,  -361,  -361,  -361,  -361,  -361,  -361,  -361,
+    -361,  -361,  -361,  1874,  1874,   -30,   257,  -361,  -361,   277,
+     291,  -361,   295,  1199,  1214,  1229,  1244,  1259,  1353,  -361,
+     -62,   303,   302,  1874,  -361,  -361,  -361,  -361,  -361,  -361,
+    -361,  -361,   277,  -361,    69,  -361,  -361
 };
 
@@ -967 +967 @@
 static const yytype_int16 yypgoto[] =
 {
-    -359,  -359,  -359,  -359,  -359,  -359,  -359,    -4,    -1,    48,
-    -359,  -359,  -359,  -168,  -359,  -359,   336,   298,   225,  -232,
-    -359,  -358,   -35,   -31,   187,     0,  -359,  -359,  -359,  -359,
-    -359,  -359,  -359,  -359,  -359,  -359,  -359,  -359,  -359,  -359,
-    -359,  -359,  -359,  -359
+    -361,  -361,  -361,  -361,  -361,  -361,  -361,    -4,    -1,    48,
+    -361,  -361,  -361,    79,  -361,  -361,   398,   360,   315,  -209,
+    -361,  -360,    18,    33,   238,     0,  -361,  -361,  -361,  -361,
+    -361,  -361,  -361,  -361,  -361,  -361,  -361,  -361,  -361,  -361,
+    -361,  -361,  -361,  -361
 };
 
@@ -981 +981 @@
 static const yytype_int16 yytable[] =
 {
-      61,    70,   148,   100,   169,   368,   152,   153,   123,   148,
-     154,   381,   155,   156,    89,   113,   115,   117,   119,   330,
-     150,   304,   125,   122,   103,   154,   331,   104,   156,   151,
-     154,   308,   170,   156,   381,   105,   369,   154,   124,   151,
-     156,   171,   172,   151,   148,   226,   225,    70,   151,   274,
-     144,   151,    97,   151,   148,   101,   151,   276,   186,   278,
-     106,   148,   293,   179,   279,   168,   175,   101,   101,   101,
-     101,   107,   151,   177,   101,   151,  -110,   127,   294,   120,
-     121,   305,   251,   103,   280,  -110,  -110,   216,   217,   157,
-     149,   158,   159,   160,   161,   139,   162,   149,   143,   163,
-     164,   148,   146,   108,   165,   227,   366,   148,   109,   161,
-     198,   166,   167,   201,   161,   110,   162,   204,   101,   165,
-     160,   161,   214,   162,   165,   101,   215,   285,   178,   333,
-     334,   165,   149,   286,   100,   170,   224,  -132,  -132,   111,
-     151,   148,   149,   126,   228,  -152,   306,   185,   230,   149,
-     148,   188,   190,   191,   192,   193,   194,   195,   196,   151,
-     199,   243,   151,   129,   202,   367,  -154,   249,   396,   379,
-     154,   151,   252,   156,   101,  -112,   128,   218,   180,   281,
-     256,  -105,   258,   221,  -112,  -112,   101,   181,   282,   149,
-    -105,  -105,   182,   283,   130,   149,   101,   183,   284,   231,
-     232,   233,   131,   234,   132,   235,   236,   237,   238,   239,
-     240,   241,   242,   101,   184,   287,   104,   356,   133,   101,
-     148,   337,   250,   134,   101,  -153,   135,   254,   255,   149,
-     257,   136,   259,  -133,  -133,   261,   107,   357,   149,   108,
-     358,   152,   153,   110,   359,   154,   137,   155,   156,   302,
-      30,   158,   159,   160,   161,   147,   162,   169,   148,   176,
-     164,   111,   360,   179,   165,   152,   153,   290,   180,   154,
-     181,   155,   156,   141,   142,   182,   183,   184,   205,   206,
-     151,   220,   152,   153,   222,   321,   154,   171,   155,   156,
-     248,   263,   297,   288,  -106,   298,   291,   338,   329,   301,
-     340,   303,   349,  -106,  -106,   350,   339,   351,   149,   380,
-     352,   303,   353,   309,   310,   311,   368,   312,   383,   313,
-     314,   354,   355,   244,   157,   364,   158,   159,   160,   161,
-     384,   162,  -107,   392,   163,   164,   365,   327,   245,   165,
-     393,  -107,  -107,   102,   332,   140,   149,   335,   157,   391,
-     158,   159,   160,   161,     0,   162,   267,   395,   163,   164,
-       0,     0,   268,   165,   253,   157,     0,   158,   159,   160,
-     161,     0,   162,   269,     0,   163,   164,     0,     0,   270,
-     165,     0,   394,     2,     3,     0,   303,     0,     0,     0,
-     373,     4,   374,   375,     0,   376,     0,     5,     6,     7,
-       8,   152,   153,     0,     9,   154,     0,   155,   156,     0,
-       0,   377,   378,     0,    10,     0,     0,   152,   153,     0,
+      61,    70,   148,   100,   123,   169,   368,   152,   153,   381,
+      89,   154,   150,   155,   156,   113,   115,   117,   119,   148,
+     151,   148,   125,   122,   151,   225,   154,   151,   330,   156,
+     226,   154,   381,   124,   156,   331,   369,   170,   154,   120,
+     121,   156,   151,   151,   304,   171,   172,    70,   274,   276,
+     144,   103,    97,  -154,   308,   101,   151,   154,   148,   186,
+     156,   379,   278,   151,   104,   168,   175,   101,   101,   101,
+     101,   105,   151,   177,   101,   106,  -110,   127,   293,   107,
+     151,   251,   151,   108,  -110,  -110,   294,   128,   305,   149,
+     157,   158,   159,   160,   161,   139,   162,   147,   143,   163,
+     164,   285,   146,   109,   165,   227,   149,   286,   149,   161,
+     198,   166,   167,   201,   161,   148,   162,   204,   101,   165,
+     160,   161,   214,   162,   165,   101,   215,   151,   178,   366,
+     110,   165,   170,   306,   100,   111,   224,   158,   159,   160,
+     161,  -152,   162,   126,   228,   149,   164,   185,   230,   129,
+     165,   188,   190,   191,   192,   193,   194,   195,   196,   151,
+     199,   243,   151,   130,   202,   367,   131,   249,   396,   152,
+     153,   132,   252,   154,   101,   155,   156,   218,   216,   217,
+     256,   148,   258,   221,   179,   279,   101,   152,   153,  -112,
+     133,   154,   135,   155,   156,   134,   101,  -112,  -112,   231,
+     232,   233,   149,   234,   136,   235,   236,   237,   238,   239,
+     240,   241,   242,   101,   103,   280,   137,   148,    30,   101,
+     148,   176,   250,   169,   101,   180,   281,   254,   255,   179,
+     257,   180,   259,   181,   282,   261,   182,   283,   152,   153,
+     183,   284,   154,   181,   155,   156,   184,   287,   182,   302,
+     183,   244,   157,   158,   159,   160,   161,   184,   162,   148,
+     151,   163,   164,  -132,  -132,   245,   165,   290,   149,   148,
+     157,   158,   159,   160,   161,   148,   162,   267,   220,   163,
+     164,   205,   152,   268,   165,   321,   154,   104,   356,   156,
+     206,   148,   297,   222,  -105,   298,   337,   171,   148,   301,
+    -153,   303,  -105,  -105,   149,   248,   339,   149,   107,   357,
+     263,   303,   288,   309,   310,   311,   291,   312,   329,   313,
+     314,   157,   158,   159,   160,   161,   338,   162,   269,   340,
+     163,   164,   364,  -106,   270,   165,   365,   327,   108,   358,
+     349,  -106,  -106,  -107,   332,   368,   149,   335,   350,  -108,
+     380,  -107,  -107,   110,   359,   351,   149,  -108,  -108,   111,
+     360,   352,   149,   141,   142,   157,   158,   159,   160,   161,
+     353,   162,  -111,  -133,  -133,   164,   333,   334,   149,   165,
+    -111,  -111,   394,     2,     3,   149,   303,   354,   355,   383,
+     373,     4,   374,   375,   384,   376,   392,     5,     6,     7,
+       8,   393,   152,   153,     9,   102,   154,   140,   155,   156,
+     395,   377,   378,   391,    10,   253,     0,   152,   153,     0,
        0,   154,     0,   155,   156,     0,     0,     0,    11,    12,
       13,    14,    15,    16,    17,    18,    19,    20,    21,    22,
@@ -1028 +1028 @@
       31,    32,    33,    34,    35,    36,    37,    38,    39,    40,
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-       0,     0,     0,     0,     0,     0,    53,   223,     0,    54,
-       0,     0,     0,     0,     0,     0,     0,    11,    12,    13,
-      14,    15,    16,    17,    18,    92,    93,    94,    95,     0,
-       0,     0,     0,     0,     0,     0,     0,    30,     0,    31,
-      32,    33,     0,    35,    36,     4,     0,     0,    40,    41,
-       0,     5,     6,    90,    91,     0,    96,     0,     9,     0,
-       0,    50,     0,    51,     0,     0,     0,     0,     0,     0,
-       0,    53,   229,     0,    54,     0,     0,     0,     0,     0,
-       0,     0,    11,    12,    13,    14,    15,    16,    17,    18,
-      92,    93,    94,    95,     0,     0,     0,     0,     0,     0,
-       0,     0,    30,     0,    31,    32,    33,     0,    35,    36,
-       4,     0,     0,    40,    41,     0,     5,     6,    90,    91,
-       0,    96,     0,     9,     0,     0,    50,     0,    51,     0,
-       0,     0,     0,     0,     0,     0,    53,     0,     0,    54,
-       0,     0,     0,     0,     0,     0,     0,    11,    12,    13,
-      14,    15,    16,    17,    18,    92,    93,    94,    95,     0,
-       0,     0,     0,     0,     0,     0,     0,    30,     0,    31,
-      32,    33,     0,    35,    36,     4,     0,     0,    40,    41,
-       0,     5,     6,    90,    91,     0,    96,     0,     9,     0,
-       0,    50,     0,    51,     0,     0,     0,     0,     0,     0,
-       0,    99,     0,     0,    54,     0,     0,     0,     0,     0,
-       0,     0,    11,    12,    13,    14,    15,    16,    17,    18,
-      92,    93,    94,    95,     0,     0,     0,     0,     0,     0,
-       0,     0,    30,     0,    31,    32,    33,     0,    35,    36,
-       4,     0,     0,    40,    41,     0,     5,     6,    90,    91,
-       0,    96,     0,     9,     0,     0,    50,     0,    51,     0,
-       0,     0,     0,     0,     0,     0,   112,     0,     0,    54,
-       0,     0,     0,     0,     0,     0,     0,    11,    12,    13,
-      14,    15,    16,    17,    18,    92,    93,    94,    95,     0,
-       0,     0,     0,     0,     0,     0,     0,    30,     0,    31,
-      32,    33,     0,    35,    36,     4,     0,     0,    40,    41,
-       0,     5,     6,    90,    91,     0,    96,     0,     9,     0,
-       0,    50,     0,    51,     0,     0,     0,     0,     0,     0,
-       0,   114,     0,     0,    54,     0,     0,     0,     0,     0,
-       0,     0,    11,    12,    13,    14,    15,    16,    17,    18,
-      92,    93,    94,    95,     0,     0,     0,     0,     0,     0,
-       0,     0,    30,     0,    31,    32,    33,     0,    35,    36,
-       4,     0,     0,    40,    41,     0,     5,     6,    90,    91,
-       0,    96,     0,     9,     0,     0,    50,     0,    51,     0,
-       0,     0,     0,     0,     0,     0,   116,     0,     0,    54,
-       0,     0,     0,     0,     0,     0,     0,    11,    12,    13,
-      14,    15,    16,    17,    18,    92,    93,    94,    95,     0,
-       0,     0,     0,     0,     0,     0,     0,    30,     0,    31,
-      32,    33,     0,    35,    36,     4,     0,     0,    40,    41,
-       0,     5,     6,   138,    91,     0,    96,     0,     9,     0,
-       0,    50,     0,    51,     0,     0,     0,     0,     0,     0,
-       0,   118,     0,     0,    54,     0,     0,     0,     0,     0,
-       0,     0,    11,    12,    13,    14,    15,    16,    17,    18,
-      19,    20,    21,    22,     0,     0,     0,     0,     0,     0,
-       0,     0,    30,     0,    31,    32,    33,     0,    35,    36,
-       4,     0,     0,    40,    41,     0,     5,     6,    90,    91,
-       0,    96,     0,     9,     0,     0,    50,     0,    51,     0,
-       0,     0,     0,     0,     0,     0,    53,     0,     0,    54,
-       0,     0,     0,     0,     0,     0,     0,    11,    12,    13,
-      14,    15,    16,    17,    18,    92,    93,    94,    95,     0,
-       0,     0,     0,     0,     0,     0,     0,    30,     0,    31,
-      32,    33,     0,    35,    36,     4,     0,     0,    40,    41,
-       0,     5,     6,    90,    91,     0,    96,     0,     9,     0,
-       0,    50,     0,    51,     0,     0,     0,     0,     0,     0,
-       0,   174,     0,     0,    54,     0,     0,     0,     0,     0,
-       0,     0,    11,    12,    13,    14,    15,    16,    17,    18,
-      92,    93,    94,    95,     0,     0,     0,     0,     0,     0,
-       0,     0,    30,     0,    31,    32,    33,     0,    35,    36,
-       4,     0,     0,    40,    41,     0,     5,     6,    90,    91,
-       0,    96,     0,     9,     0,     0,    50,     0,    51,     0,
-       0,     0,     0,     0,     0,     0,   187,     0,     0,    54,
-       0,     0,     0,     0,     0,     0,     0,   322,    12,    13,
-     323,   324,    16,   325,   326,    92,    93,    94,    95,     0,
-       0,     0,     0,     0,     0,     0,     0,    30,     0,    31,
-      32,    33,     0,    35,    36,     0,     0,     0,    40,    41,
-       0,     0,     0,     0,     0,     0,    96,     0,     0,     0,
-       0,    50,     0,    51,     0,     0,     0,     0,     0,     0,
-       0,    53,     0,     0,    54
+       0,     0,     0,     0,     0,     0,     0,     0,     0,    11,
+      12,    13,    14,    15,    16,    17,    18,    92,    93,    94,
+      95,     0,     0,     0,     0,     0,     0,     0,     0,    30,
+       0,    31,    32,    33,     0,    35,    36,     4,     0,     0,
+      40,    41,     0,     5,     6,    90,    91,     0,    96,     0,
+       9,     0,    50,     0,    51,     0,     0,     0,     0,     0,
+       0,     0,    53,   197,     0,    54,     0,     0,     0,     0,
+       0,     0,     0,     0,    11,    12,    13,    14,    15,    16,
+      17,    18,    92,    93,    94,    95,     0,     0,     0,     0,
+       0,     0,     0,     0,    30,     0,    31,    32,    33,     0,
+      35,    36,     4,     0,     0,    40,    41,     0,     5,     6,
+      90,    91,     0,    96,     0,     9,     0,    50,     0,    51,
+       0,     0,     0,     0,     0,     0,     0,    53,   200,     0,
+      54,     0,     0,     0,     0,     0,     0,     0,     0,    11,
+      12,    13,    14,    15,    16,    17,    18,    92,    93,    94,
+      95,     0,     0,     0,     0,     0,     0,     0,     0,    30,
+       0,    31,    32,    33,     0,    35,    36,     4,     0,     0,
+      40,    41,     0,     5,     6,   207,   208,     0,    96,     0,
+       9,     0,    50,     0,    51,     0,     0,     0,     0,     0,
+       0,     0,    53,   203,     0,    54,     0,     0,     0,     0,
+       0,     0,     0,     0,    11,    12,    13,    14,    15,    16,
+      17,    18,   209,   210,   211,   212,     0,     0,     0,     0,
+       0,     0,     0,     0,    30,     0,    31,    32,    33,     0,
+      35,    36,     4,     0,     0,    40,    41,     0,     5,     6,
+      90,    91,     0,    96,     0,     9,     0,    50,     0,    51,
+       0,     0,     0,     0,     0,     0,     0,    53,   213,     0,
+      54,     0,     0,     0,     0,     0,     0,     0,     0,    11,
+      12,    13,    14,    15,    16,    17,    18,    92,    93,    94,
+      95,     0,     0,     0,     0,     0,     0,     0,     0,    30,
+       0,    31,    32,    33,     0,    35,    36,     4,     0,     0,
+      40,    41,     0,     5,     6,    90,    91,     0,    96,     0,
+       9,     0,    50,     0,    51,     0,     0,     0,     0,     0,
+       0,     0,    53,   223,     0,    54,     0,     0,     0,     0,
+       0,     0,     0,     0,    11,    12,    13,    14,    15,    16,
+      17,    18,    92,    93,    94,    95,     0,     0,     0,     0,
+       0,     0,     0,     0,    30,     0,    31,    32,    33,     0,
+      35,    36,     4,     0,     0,    40,    41,     0,     5,     6,
+      90,    91,     0,    96,     0,     9,     0,    50,     0,    51,
+       0,     0,     0,     0,     0,     0,     0,    53,   229,     0,
+      54,     0,     0,     0,     0,     0,     0,     0,     0,    11,
+      12,    13,    14,    15,    16,    17,    18,    92,    93,    94,
+      95,     0,     0,     0,     0,     0,     0,     0,     0,    30,
+       0,    31,    32,    33,     0,    35,    36,     4,     0,     0,
+      40,    41,     0,     5,     6,    90,    91,     0,    96,     0,
+       9,     0,    50,     0,    51,     0,     0,     0,     0,     0,
+       0,     0,    53,     0,     0,    54,     0,     0,     0,     0,
+       0,     0,     0,     0,    11,    12,    13,    14,    15,    16,
+      17,    18,    92,    93,    94,    95,     0,     0,     0,     0,
+       0,     0,     0,     0,    30,     0,    31,    32,    33,     0,
+      35,    36,     4,     0,     0,    40,    41,     0,     5,     6,
+      90,    91,     0,    96,     0,     9,     0,    50,     0,    51,
+       0,     0,     0,     0,     0,     0,     0,    99,     0,     0,
+      54,     0,     0,     0,     0,     0,     0,     0,     0,    11,
+      12,    13,    14,    15,    16,    17,    18,    92,    93,    94,
+      95,     0,     0,     0,     0,     0,     0,     0,     0,    30,
+       0,    31,    32,    33,     0,    35,    36,     4,     0,     0,
+      40,    41,     0,     5,     6,    90,    91,     0,    96,     0,
+       9,     0,    50,     0,    51,     0,     0,     0,     0,     0,
+       0,     0,   112,     0,     0,    54,     0,     0,     0,     0,
+       0,     0,     0,     0,    11,    12,    13,    14,    15,    16,
+      17,    18,    92,    93,    94,    95,     0,     0,     0,     0,
+       0,     0,     0,     0,    30,     0,    31,    32,    33,     0,
+      35,    36,     4,     0,     0,    40,    41,     0,     5,     6,
+      90,    91,     0,    96,     0,     9,     0,    50,     0,    51,
+       0,     0,     0,     0,     0,     0,     0,   114,     0,     0,
+      54,     0,     0,     0,     0,     0,     0,     0,     0,    11,
+      12,    13,    14,    15,    16,    17,    18,    92,    93,    94,
+      95,     0,     0,     0,     0,     0,     0,     0,     0,    30,
+       0,    31,    32,    33,     0,    35,    36,     4,     0,     0,
+      40,    41,     0,     5,     6,    90,    91,     0,    96,     0,
+       9,     0,    50,     0,    51,     0,     0,     0,     0,     0,
+       0,     0,   116,     0,     0,    54,     0,     0,     0,     0,
+       0,     0,     0,     0,    11,    12,    13,    14,    15,    16,
+      17,    18,    92,    93,    94,    95,     0,     0,     0,     0,
+       0,     0,     0,     0,    30,     0,    31,    32,    33,     0,
+      35,    36,     4,     0,     0,    40,    41,     0,     5,     6,
+     138,    91,     0,    96,     0,     9,     0,    50,     0,    51,
+       0,     0,     0,     0,     0,     0,     0,   118,     0,     0,
+      54,     0,     0,     0,     0,     0,     0,     0,     0,    11,
+      12,    13,    14,    15,    16,    17,    18,    19,    20,    21,
+      22,     0,     0,     0,     0,     0,     0,     0,     0,    30,
+       0,    31,    32,    33,     0,    35,    36,     4,     0,     0,
+      40,    41,     0,     5,     6,    90,    91,     0,    96,     0,
+       9,     0,    50,     0,    51,     0,     0,     0,     0,     0,
+       0,     0,    53,     0,     0,    54,     0,     0,     0,     0,
+       0,     0,     0,     0,    11,    12,    13,    14,    15,    16,
+      17,    18,    92,    93,    94,    95,     0,     0,     0,     0,
+       0,     0,     0,     0,    30,     0,    31,    32,    33,     0,
+      35,    36,     4,     0,     0,    40,    41,     0,     5,     6,
+      90,    91,     0,    96,     0,     9,     0,    50,     0,    51,
+       0,     0,     0,     0,     0,     0,     0,   174,     0,     0,
+      54,     0,     0,     0,     0,     0,     0,     0,     0,    11,
+      12,    13,    14,    15,    16,    17,    18,    92,    93,    94,
+      95,     0,     0,     0,     0,     0,     0,     0,     0,    30,
+       0,    31,    32,    33,     0,    35,    36,     4,     0,     0,
+      40,    41,     0,     5,     6,    90,    91,     0,    96,     0,
+       9,     0,    50,     0,    51,     0,     0,     0,     0,     0,
+       0,     0,   187,     0,     0,    54,     0,     0,     0,     0,
+       0,     0,     0,     0,   322,    12,    13,   323,   324,    16,
+     325,   326,    92,    93,    94,    95,     0,     0,     0,     0,
+       0,     0,     0,     0,    30,     0,    31,    32,    33,     0,
+      35,    36,     0,     0,     0,    40,    41,     0,     0,     0,
+       0,     0,     0,    96,     0,     0,     0,    50,     0,    51,
+       0,     0,     0,     0,     0,     0,     0,    53,     0,     0,
+      54
 };
 
 static const yytype_int16 yycheck[] =
 {
-       1,     1,    11,     7,    12,    68,     3,     4,    65,    11,
-       7,   369,     9,    10,    95,    19,    20,    21,    22,    66,
-      85,   253,    26,    24,    99,     7,    73,    99,    10,    94,
-       7,   263,    85,    10,   392,    99,    99,     7,    95,    94,
-      10,    94,    95,    94,    11,   100,    92,    47,    94,   100,
-      51,    94,     4,    94,    11,     7,    94,   100,    66,   100,
-      99,    11,   100,    99,   100,    66,    70,    19,    20,    21,
-      22,    99,    94,    77,    26,    94,    85,    29,   100,    65,
-      66,   100,    91,    99,   100,    94,    95,    65,    66,    86,
-      99,    88,    89,    90,    91,    47,    93,    99,    50,    96,
-      97,    11,    54,    99,   101,   102,   338,    11,    99,    91,
-     111,    63,    64,   114,    91,    99,    93,   118,    70,   101,
-      90,    91,   126,    93,   101,    77,   126,    94,    80,   297,
-     298,   101,    99,   100,   138,    85,   137,    94,    95,    99,
-      94,    11,    99,    99,   148,    95,   100,    99,   149,    99,
-      11,   103,   104,   105,   106,   107,   108,   109,   110,    94,
-     112,   165,    94,    99,   116,   100,     3,   171,   100,    92,
-       7,    94,   176,    10,   126,    85,    65,   129,    99,   100,
-     181,    85,   183,   135,    94,    95,   138,    99,   100,    99,
-      94,    95,    99,   100,    99,    99,   148,    99,   100,   151,
-     152,   153,    66,   155,    99,   157,   158,   159,   160,   161,
-     162,   163,   164,   165,    99,   100,    99,   100,    99,   171,
-      11,    91,   174,    65,   176,    95,    99,   179,   180,    99,
-     182,    65,   184,    94,    95,   187,    99,   100,    99,    99,
-     100,     3,     4,    99,   100,     7,    99,     9,    10,   253,
-      65,    88,    89,    90,    91,    95,    93,    12,    11,    94,
-      97,    99,   100,    99,   101,     3,     4,   219,    99,     7,
-      99,     9,    10,    48,    49,    99,    99,    99,    95,    95,
-      94,    65,     3,     4,    66,   285,     7,    94,     9,    10,
-      66,    94,   244,    66,    85,   247,    65,    94,    66,   251,
-      94,   253,   100,    94,    95,   100,   307,   100,    99,    94,
-     100,   263,   100,   265,   266,   267,    68,   269,    99,   271,
-     272,   100,   100,    85,    86,    91,    88,    89,    90,    91,
-     100,    93,    85,    94,    96,    97,   337,   289,   100,   101,
-     100,    94,    95,     7,   296,    47,    99,   299,    86,   380,
-      88,    89,    90,    91,    -1,    93,    94,   392,    96,    97,
-      -1,    -1,   100,   101,   177,    86,    -1,    88,    89,    90,
-      91,    -1,    93,    94,    -1,    96,    97,    -1,    -1,   100,
-     101,    -1,   383,     0,     1,    -1,   338,    -1,    -1,    -1,
-     342,     8,   344,   345,    -1,   347,    -1,    14,    15,    16,
-      17,     3,     4,    -1,    21,     7,    -1,     9,    10,    -1,
-      -1,   363,   364,    -1,    31,    -1,    -1,     3,     4,    -1,
+       1,     1,    11,     7,    65,    12,    68,     3,     4,   369,
+      94,     7,    85,     9,    10,    19,    20,    21,    22,    11,
+      93,    11,    26,    24,    93,    91,     7,    93,    66,    10,
+      99,     7,   392,    94,    10,    73,    98,    85,     7,    65,
+      66,    10,    93,    93,   253,    93,    94,    47,    99,    99,
+      51,    98,     4,     3,   263,     7,    93,     7,    11,    66,
+      10,    91,    99,    93,    98,    66,    70,    19,    20,    21,
+      22,    98,    93,    77,    26,    98,    85,    29,    99,    98,
+      93,    90,    93,    98,    93,    94,    99,    65,    99,    98,
+      86,    87,    88,    89,    90,    47,    92,    94,    50,    95,
+      96,    93,    54,    98,   100,   101,    98,    99,    98,    90,
+     111,    63,    64,   114,    90,    11,    92,   118,    70,   100,
+      89,    90,   126,    92,   100,    77,   126,    93,    80,   338,
+      98,   100,    85,    99,   138,    98,   137,    87,    88,    89,
+      90,    94,    92,    98,   148,    98,    96,    99,   149,    98,
+     100,   103,   104,   105,   106,   107,   108,   109,   110,    93,
+     112,   165,    93,    98,   116,    99,    66,   171,    99,     3,
+       4,    98,   176,     7,   126,     9,    10,   129,    65,    66,
+     181,    11,   183,   135,    98,    99,   138,     3,     4,    85,
+      98,     7,    98,     9,    10,    65,   148,    93,    94,   151,
+     152,   153,    98,   155,    65,   157,   158,   159,   160,   161,
+     162,   163,   164,   165,    98,    99,    98,    11,    65,   171,
+      11,    93,   174,    12,   176,    98,    99,   179,   180,    98,
+     182,    98,   184,    98,    99,   187,    98,    99,     3,     4,
+      98,    99,     7,    98,     9,    10,    98,    99,    98,   253,
+      98,    85,    86,    87,    88,    89,    90,    98,    92,    11,
+      93,    95,    96,    93,    94,    99,   100,   219,    98,    11,
+      86,    87,    88,    89,    90,    11,    92,    93,    65,    95,
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       -1,     7,    -1,     9,    10,    -1,    -1,    -1,    45,    46,
       47,    48,    49,    50,    51,    52,    53,    54,    55,    56,
@@ -1299 +1289 @@
       67,    68,    69,    70,    71,    72,    73,    74,    75,    76,
       77,    78,    79,    80,    81,    82,    83,    84,    -1,    86,
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+      -1,    -1,    -1,    -1,    -1,    -1,    -1,    98,    -1,    -1,
+     101,    -1,    -1,    -1,    -1,    -1,    -1,    -1,    -1,    45,
+      46,    47,    48,    49,    50,    51,    52,    53,    54,    55,
+      56,    -1,    -1,    -1,    -1,    -1,    -1,    -1,    -1,    65,
+      -1,    67,    68,    69,    -1,    71,    72,     8,    -1,    -1,
+      76,    77,    -1,    14,    15,    16,    17,    -1,    84,    -1,
+      21,    -1,    88,    -1,    90,    -1,    -1,    -1,    -1,    -1,
+      -1,    -1,    98,    -1,    -1,   101,    -1,    -1,    -1,    -1,
+      -1,    -1,    -1,    -1,    45,    46,    47,    48,    49,    50,
+      51,    52,    53,    54,    55,    56,    -1,    -1,    -1,    -1,
+      -1,    -1,    -1,    -1,    65,    -1,    67,    68,    69,    -1,
+      71,    72,    -1,    -1,    -1,    76,    77,    -1,    -1,    -1,
+      -1,    -1,    -1,    84,    -1,    -1,    -1,    88,    -1,    90,
+      -1,    -1,    -1,    -1,    -1,    -1,    -1,    98,    -1,    -1,
+     101
 };
 
@@ -1525 +1505 @@
 static const yytype_uint8 yystos[] =
 {
-       0,   104,     0,     1,     8,    14,    15,    16,    17,    21,
+       0,   103,     0,     1,     8,    14,    15,    16,    17,    21,
       31,    45,    46,    47,    48,    49,    50,    51,    52,    53,
       54,    55,    56,    57,    58,    59,    60,    62,    63,    64,
       65,    67,    68,    69,    70,    71,    72,    73,    74,    75,
       76,    77,    78,    79,    80,    81,    82,    83,    84,    86,
-      89,    91,    95,    99,   102,   105,   106,   107,   108,   109,
-     110,   111,   112,   114,   115,   117,   118,   119,   120,   121,
-     128,   129,   130,   131,   132,   133,   134,   135,   136,   137,
-     138,   139,   140,   141,   142,   143,   144,   145,   146,    95,
-      16,    17,    53,    54,    55,    56,    84,   112,   128,    99,
-     110,   112,   119,    99,    99,    99,    99,    99,    99,    99,
-      99,    99,    99,   110,    99,   110,    99,   110,    99,   110,
-      65,    66,   111,    65,    95,   110,    99,   112,    65,    99,
-      99,    66,    99,    99,    65,    99,    65,    99,    16,   112,
-     120,   121,   121,   112,   111,   111,   112,    95,    11,    99,
-      85,    94,     3,     4,     7,     9,    10,    86,    88,    89,
-      90,    91,    93,    96,    97,   101,   112,   112,   111,    12,
-      85,    94,    95,   127,    99,   110,    94,   110,   112,    99,
-      99,    99,    99,    99,    99,   112,    66,    99,   112,   122,
-     112,   112,   112,   112,   112,   112,   112,   100,   111,   112,
-     100,   111,   112,   100,   111,    95,    95,    16,    17,    53,
-      54,    55,    56,   100,   110,   128,    65,    66,   112,   113,
-      65,   112,    66,   100,   111,    92,   100,   102,   110,   100,
-     111,   112,   112,   112,   112,   112,   112,   112,   112,   112,
-     112,   112,   112,   110,    85,   100,   116,    94,    66,   110,
-     112,    91,   110,   127,   112,   112,   111,   112,   111,   112,
-     100,   112,   100,    94,   100,    94,    94,    94,   100,    94,
-     100,    94,    94,   100,   100,   100,   100,   100,   100,   100,
-     100,   100,   100,   100,   100,    94,   100,   100,    66,    94,
-     112,    65,   100,   100,   100,    92,    94,   112,   112,    94,
-     100,   112,   110,   112,   122,   100,   100,    94,   122,   112,
-     112,   112,   112,   112,   112,    16,    17,    53,    54,    55,
-      56,   128,    45,    48,    49,    51,    52,   112,   100,    66,
-      66,    73,   112,   116,   116,   112,    92,    91,    94,   111,
-      94,   100,    94,   100,    94,    94,   100,    94,   100,   100,
-     100,   100,   100,   100,   100,   100,   100,   100,   100,   100,
-     100,   100,    92,    94,    91,   111,   122,   100,    68,    99,
-     123,   124,   126,   112,   112,   112,   112,   112,   112,    92,
-      94,   124,   125,    99,   100,   100,   100,   100,   100,   100,
-      92,   126,    94,   100,   111,   125,   100
+      88,    90,    94,    98,   101,   104,   105,   106,   107,   108,
+     109,   110,   111,   113,   114,   116,   117,   118,   119,   120,
+     127,   128,   129,   130,   131,   132,   133,   134,   135,   136,
+     137,   138,   139,   140,   141,   142,   143,   144,   145,    94,
+      16,    17,    53,    54,    55,    56,    84,   111,   127,    98,
+     109,   111,   118,    98,    98,    98,    98,    98,    98,    98,
+      98,    98,    98,   109,    98,   109,    98,   109,    98,   109,
+      65,    66,   110,    65,    94,   109,    98,   111,    65,    98,
+      98,    66,    98,    98,    65,    98,    65,    98,    16,   111,
+     119,   120,   120,   111,   110,   110,   111,    94,    11,    98,
+      85,    93,     3,     4,     7,     9,    10,    86,    87,    88,
+      89,    90,    92,    95,    96,   100,   111,   111,   110,    12,
+      85,    93,    94,   126,    98,   109,    93,   109,   111,    98,
+      98,    98,    98,    98,    98,   111,    66,    98,   111,   121,
+     111,   111,   111,   111,   111,   111,   111,    99,   110,   111,
+      99,   110,   111,    99,   110,    94,    94,    16,    17,    53,
+      54,    55,    56,    99,   109,   127,    65,    66,   111,   112,
+      65,   111,    66,    99,   110,    91,    99,   101,   109,    99,
+     110,   111,   111,   111,   111,   111,   111,   111,   111,   111,
+     111,   111,   111,   109,    85,    99,   115,    93,    66,   109,
+     111,    90,   109,   126,   111,   111,   110,   111,   110,   111,
+      99,   111,    99,    93,    99,    93,    93,    93,    99,    93,
+      99,    93,    93,    99,    99,    99,    99,    99,    99,    99,
+      99,    99,    99,    99,    99,    93,    99,    99,    66,    93,
+     111,    65,    99,    99,    99,    91,    93,   111,   111,    93,
+      99,   111,   109,   111,   121,    99,    99,    93,   121,   111,
+     111,   111,   111,   111,   111,    16,    17,    53,    54,    55,
+      56,   127,    45,    48,    49,    51,    52,   111,    99,    66,
+      66,    73,   111,   115,   115,   111,    91,    90,    93,   110,
+      93,    99,    93,    99,    93,    93,    99,    93,    99,    99,
+      99,    99,    99,    99,    99,    99,    99,    99,    99,    99,
+      99,    99,    91,    93,    90,   110,   121,    99,    68,    98,
+     122,   123,   125,   111,   111,   111,   111,   111,   111,    91,
+      93,   123,   124,    98,    99,    99,    99,    99,    99,    99,
+      91,   125,    93,    99,   110,   124,    99
 };
 
@@ -3186 +3166 @@
 /* Line 1464 of yacc.c  */
 #line 803 "grammar.y"
-    {
+    { /* also for *,% */
             if(iiExprArith2(&(yyval.lv),&(yyvsp[(1) - (3)].lv),(yyvsp[(2) - (3)].i),&(yyvsp[(3) - (3)].lv))) YYERROR;
           ;}
@@ -3204 +3184 @@
 /* Line 1464 of yacc.c  */
 #line 811 "grammar.y"
-    {
+    { /* also for > */
             if(iiExprArith2(&(yyval.lv),&(yyvsp[(1) - (3)].lv),(yyvsp[(2) - (3)].i),&(yyvsp[(3) - (3)].lv))) YYERROR;
           ;}
@@ -3213 +3193 @@
 /* Line 1464 of yacc.c  */
 #line 815 "grammar.y"
-    {
+    { /* also for |*/
             if(iiExprArith2(&(yyval.lv),&(yyvsp[(1) - (3)].lv),(yyvsp[(2) - (3)].i),&(yyvsp[(3) - (3)].lv))) YYERROR;
           ;}
@@ -4283 +4263 @@
 
 /* Line 1464 of yacc.c  */
-#line 4284 "grammar.cc"
+#line 4264 "grammar.cc"
       default: break;
     }

Singular/grammar.y

@@ -290 +290 @@
 %type <i>    mat_cmd
 
-%type <i>    '=' '<' '>' '+' '-' COLONCOLON
+%type <i>    '=' '<' '+' '-' COLONCOLON
 %type <i>    '/' '[' ']' '^' ',' ';'
 
@@ -801 +801 @@
           }
         | expr '/' expr
-          {
+          { /* also for *,% */
             if(iiExprArith2(&$$,&$1,$<i>2,&$3)) YYERROR;
           }
@@ -809 +809 @@
           }
         | expr '<' expr
-          {
+          { /* also for > */
             if(iiExprArith2(&$$,&$1,$<i>2,&$3)) YYERROR;
           }
         | expr '&' expr
-          {
+          { /* also for |*/
             if(iiExprArith2(&$$,&$1,$<i>2,&$3)) YYERROR;
           }

Singular/iparith.cc

@@ -5634 +5634 @@
   mp_Monomials((matrix)res->data, rank, pVar((poly)v->Data()),(matrix)w->Data(),currRing);
   return FALSE;
+}
+static BOOLEAN jjELIMIN_ALG(leftv res, leftv u, leftv v, leftv w)
+{
+  ideal I=(ideal)u->Data();
+  GbVariant alg=syGetAlgorithm((char*)w->Data(),currRing,I);
+  res->data=(char *)idElimination(I,(poly)v->Data(),NULL,alg);
+  //setFlag(res,FLAG_STD);
+  return v->next!=NULL; //do not allow next like in eliminate(I,a(1..4))
 }
 static BOOLEAN jjELIMIN_HILB(leftv res, leftv u, leftv v, leftv w)

Singular/links/asciiLink.cc

@@ -426 +426 @@
   {
     #define MAX_LIBS 256
-    (*list_of_libs)=(char**)omalloc0(MAX_LIBS*sizeof(char**));
+    (*list_of_libs)=(char**)omAlloc0(MAX_LIBS*sizeof(char**));
     (*list_of_libs)[0]=name;
     (*list_of_libs)[MAX_LIBS-1]=(char*)1;

Singular/misc_ip.cc

@@ -74 +74 @@
 
 #ifdef HAVE_NTL
-#include<NTL/version.h>
-#include<NTL/tools.h>
+#include <NTL/version.h>
+#include <NTL/tools.h>
 #ifdef NTL_CLIENT
 NTL_CLIENT

Singular/table.h

@@ -759 +759 @@
 ,{D(jjELIMIN_HILB),    ELIMINATION_CMD,IDEAL_CMD, IDEAL_CMD, POLY_CMD, INTVEC_CMD, NO_PLURAL |ALLOW_RING}
 ,{D(jjELIMIN_HILB),    ELIMINATION_CMD,MODUL_CMD, MODUL_CMD, POLY_CMD, INTVEC_CMD, NO_PLURAL |ALLOW_RING}
+,{D(jjELIMIN_ALG),     ELIMINATION_CMD,IDEAL_CMD, IDEAL_CMD,  POLY_CMD, STRING_CMD, ALLOW_PLURAL |ALLOW_RING}
+,{D(jjELIMIN_ALG),     ELIMINATION_CMD,MODUL_CMD, MODUL_CMD,  POLY_CMD, STRING_CMD, ALLOW_PLURAL |ALLOW_RING}
 ,{D(jjFIND3),          FIND_CMD,   INT_CMD,    STRING_CMD, STRING_CMD, INT_CMD, ALLOW_PLURAL |ALLOW_RING}
 ,{D(jjFRES3),          FRES_CMD,   RESOLUTION_CMD, IDEAL_CMD, INT_CMD, STRING_CMD, NO_PLURAL |NO_RING}

Singular/tesths.cc

@@ -36 +36 @@
 
 #include <unistd.h>
+#ifdef HAVE_NTL
+#include <NTL/config.h>
+#endif
 
 
@@ -67 +70 @@
   siInit(argv[0]);
   init_signals();
+  #ifdef HAVE_NTL
+  #if NTL_MAJOR_VERSION>=10
+  #ifdef NTL_THREAD_BOOST
+  SetNumThreads(feOptValue(FE_OPT_CPUS));
+  #endif
+  #endif
+  #endif
 
   // parse command line options

Tst/Long/eliminate_2.res.gz.uu

@@ -1 +1 @@
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 `
 end

Tst/Long/eliminate_2.stat

@@ -1 @@
-1 >> tst_memory_0 :: 1278958245:3113-2010071219:3-1-1:ix86-Linux:mamawutz:314580 1292524760:3120- 13145 :3-1-2:ix86-Linux:mamawutz:315188
-1 >> tst_memory_1 :: 1278958245:3113-2010071219:3-1-1:ix86-Linux:mamawutz:1318736 1292524760:3120- 13145 :3-1-2:ix86-Linux:mamawutz:1318772
-1 >> tst_memory_2 :: 1278958245:3113-2010071219:3-1-1:ix86-Linux:mamawutz:4586388 1292524760:3120- 13145 :3-1-2:ix86-Linux:mamawutz:4599808
-1 >> tst_timer_1 :: 1278958245:3113-2010071219:3-1-1:ix86-Linux:mamawutz:882 1292524760:3120- 13145 :3-1-2:ix86-Linux:mamawutz:898
+1 >> tst_memory_0 :: 1519747702:4110, 64 bit:4.1.1:x86_64-Linux:nepomuck:244032
+1 >> tst_memory_1 :: 1519747702:4110, 64 bit:4.1.1:x86_64-Linux:nepomuck:4456448
+1 >> tst_memory_2 :: 1519747702:4110, 64 bit:4.1.1:x86_64-Linux:nepomuck:6868992
+1 >> tst_timer_1 :: 1519747702:4110, 64 bit:4.1.1:x86_64-Linux:nepomuck:313

Tst/Long/eliminate_6.res.gz.uu

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 `