diff --git a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1.h b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1.h
index ce5d9fba2ed..b87f8b993f8 100644
--- a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1.h
+++ b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1.h
@@ -40,12 +40,9 @@ public:
         RS_polynomial_1 *_poly;
         int _nr;
         int _mult;
-        mpfi_ptr _prev,_next;
         mutable Sign _lefteval;
 
-        Algebraic_1_rep():
-                _poly(NULL),_nr(-1),_mult(-1),
-                _prev(NULL),_next(NULL),_lefteval(ZERO){}
+        Algebraic_1_rep():_poly(NULL),_nr(-1),_mult(-1),_lefteval(ZERO){}
         ~Algebraic_1_rep(){}
 
 private:
@@ -80,17 +77,16 @@ public:
         Algebraic_1(mpfi_srcptr,
                     const RS_polynomial_1&,
                     int,
-                    int,
-                    mpfi_ptr,
-                    mpfi_ptr);
+                    int
+                    //,mpfi_ptr,mpfi_ptr
+                    );
 
         // the another interesting variant
         Algebraic_1(mpfi_srcptr,
                     const RS_polynomial_1&,
                     int,
                     int,
-                    mpfi_ptr,
-                    mpfi_ptr,
+                    //mpfi_ptr,mpfi_ptr,
                     CGAL::Sign);
 
         // functions related to the member data
@@ -109,12 +105,8 @@ public:
         void set_nr(int);
         void set_mult(int);
         void set_prec(mp_prec_t);
-        void set_prev(mpfi_ptr);
-        void set_next(mpfi_ptr);
         void set_lefteval(Sign)const;
         mp_prec_t get_prec()const;
-        mpfi_ptr prev()const;
-        mpfi_ptr next()const;
         Sign lefteval()const;
         mpfr_srcptr left()const;
         mpfr_srcptr right()const;
diff --git a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_constructors.h b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_constructors.h
index c7cffd20372..e67b5d364aa 100644
--- a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_constructors.h
+++ b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_constructors.h
@@ -35,8 +35,6 @@ Algebraic_1::Algebraic_1(const Algebraic_1 &i,mpfr_prec_t pl,mpfr_prec_t pr){
         set_pol(i.pol());
         set_nr(i.nr());
         set_mult(i.mult());
-        set_prev(i.prev());
-        set_next(i.next());
         set_lefteval(i.lefteval());
 }
 
@@ -200,16 +198,12 @@ Algebraic_1::Algebraic_1(
                          mpfi_srcptr i,
                          const RS_polynomial_1 &p,
                          int n,
-                         int m,
-                         mpfi_ptr prevroot,
-                         mpfi_ptr nextroot){
+                         int m){
         mpfi_init(mpfi());
         set_mpfi_ptr(i);
         set_pol(p);
         set_nr(n);
         set_mult(m);
-        set_prev(prevroot);
-        set_next(nextroot);
         // we don't evaluate in the sf part of p, since p is sf
         // TODO: add assertion
         set_lefteval(RSSign::signat(p,&i->left));
@@ -219,14 +213,12 @@ Algebraic_1::Algebraic_1(
 // left evaluation
 inline
 Algebraic_1::Algebraic_1(mpfi_srcptr i,const RS_polynomial_1 &p,int n,int m,
-                         mpfi_ptr prevroot,mpfi_ptr nextroot,CGAL::Sign s){
+                         CGAL::Sign s){
         mpfi_init(mpfi());
         set_mpfi_ptr(i);
         set_pol(p);
         set_nr(n);
         set_mult(m);
-        set_prev(prevroot);
-        set_next(nextroot);
         set_lefteval(s);
 }
 
diff --git a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_member.h b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_member.h
index 66d36fa6d0d..3a3cc247f83 100644
--- a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_member.h
+++ b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_member.h
@@ -96,16 +96,6 @@ void Algebraic_1::set_prec(mp_prec_t p){
         mpfi_round_prec(mpfi(),p);
 }
 
-inline
-void Algebraic_1::set_prev(mpfi_ptr p){
-        ptr()->_prev=p;
-}
-
-inline
-void Algebraic_1::set_next(mpfi_ptr n){
-        ptr()->_next=n;
-}
-
 inline
 void Algebraic_1::set_lefteval(Sign s)const{
         Ptr()->_lefteval=s;
@@ -126,16 +116,6 @@ mpfr_srcptr Algebraic_1::right()const{
         return &(mpfi()->right);
 }
 
-inline
-mpfi_ptr Algebraic_1::prev()const{
-        return ptr()->_prev;
-}
-
-inline
-mpfi_ptr Algebraic_1::next()const{
-        return ptr()->_next;
-}
-
 inline
 Sign Algebraic_1::lefteval()const{
         return ptr()->_lefteval;
diff --git a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_operators.h b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_operators.h
index e8fd3c65ae6..43877d693dc 100644
--- a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_operators.h
+++ b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_operators.h
@@ -35,8 +35,6 @@ Algebraic_1 Algebraic_1::operator-()const{
                                              pol().minusx(),
                                              nr(),
                                              mult(),
-                                             NULL,
-                                             NULL,
                                              -lefteval());
         return *inverse;
 }
diff --git a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_other.h b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_other.h
index 248b0bdb4ac..d2fca5b2eac 100644
--- a/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_other.h
+++ b/Algebraic_kernel_d/include/CGAL/RS/algebraic_1_other.h
@@ -97,8 +97,8 @@ std::istream& operator>>(std::istream &is,Algebraic_1 &a){
                       *(new RS_polynomial_1(pol)),      // polynomial
                       nr,               // number of root
                       mult,             // multiplicity
-                      (mpfi_ptr)NULL,   // previous root
-                      (mpfi_ptr)NULL,   // next root
+                      //(mpfi_ptr)NULL,   // previous root
+                      //(mpfi_ptr)NULL,   // next root
                       (CGAL::Sign)eval);// evaluation on the left bound
         goto is_ret;
 is_fail_ret:
diff --git a/Algebraic_kernel_d/include/CGAL/RS/functors_1.h b/Algebraic_kernel_d/include/CGAL/RS/functors_1.h
index 6ecc803a648..f94615bfce9 100644
--- a/Algebraic_kernel_d/include/CGAL/RS/functors_1.h
+++ b/Algebraic_kernel_d/include/CGAL/RS/functors_1.h
@@ -162,9 +162,10 @@ struct Solve_RS_1{
             }
         }
         for(int i=0;i<nr;++i){
-            *res++=std::make_pair(*new Algebraic(x[i],p,i,m[i],
-                                                 i?x[i-1]:NULL,
-                                                 i==nr-1?NULL:x[i+1]),
+            *res++=std::make_pair(*new Algebraic(x[i],p,i,m[i]
+                                                 //,i?x[i-1]:NULL,
+                                                 //i==nr-1?NULL:x[i+1]
+                                                 ),
                                   m[i]);
         }
         free(m);
@@ -191,9 +192,10 @@ struct Solve_RS_1{
             m=0;    // we won't calculate multiplicities
         }
         for(int i=0;i<nr;++i)
-            *res++=*new Algebraic(x[i],p,i,m,
-                            i?x[i-1]:NULL,
-                            i==nr-1?NULL:x[i+1]);
+            *res++=*new Algebraic(x[i],p,i,m
+                            //,i?x[i-1]:NULL,
+                            //i==nr-1?NULL:x[i+1]
+                            );
         free(x);
         return res;
     }
@@ -283,7 +285,9 @@ struct Construct_alg_1{
         mpfi_init(i);
         mpfr_set(&i->left,l.fr(),GMP_RNDD);
         mpfr_set(&i->right,u.fr(),GMP_RNDU);
-        return Algebraic(i,convert()(p),0,0,NULL,NULL);
+        return Algebraic(i,convert()(p),0,0
+                         //,NULL,NULL
+                        );
     }
 };  // Construct_alg_1