src/sage/rings/finite_rings/conway_polynomials.py: Add # needs

Author: Matthias Koeppe

src/sage/rings/finite_rings/conway_polynomials.py

@@ -48,11 +48,11 @@ def conway_polynomial(p, n):
 
     EXAMPLES::
 
-        sage: conway_polynomial(2,5)
+        sage: conway_polynomial(2,5)                                            # needs conway_polynomials
         x^5 + x^2 + 1
-        sage: conway_polynomial(101,5)
+        sage: conway_polynomial(101,5)                                          # needs conway_polynomials
         x^5 + 2*x + 99
-        sage: conway_polynomial(97,101)
+        sage: conway_polynomial(97,101)                                         # needs conway_polynomials
         Traceback (most recent call last):
         ...
         RuntimeError: requested Conway polynomial not in database.
@@ -85,7 +85,7 @@ def exists_conway_polynomial(p, n):
 
     EXAMPLES::
 
-        sage: exists_conway_polynomial(2,3)
+        sage: exists_conway_polynomial(2,3)                                     # needs conway_polynomials
         True
         sage: exists_conway_polynomial(2,-1)
         False
@@ -133,6 +133,7 @@ class PseudoConwayLattice(WithEqualityById, SageObject):
 
     EXAMPLES::
 
+        sage: # needs sage.rings.finite_rings
         sage: from sage.rings.finite_rings.conway_polynomials import PseudoConwayLattice
         sage: PCL = PseudoConwayLattice(2, use_database=False)
         sage: PCL.polynomial(3)
@@ -161,10 +162,13 @@ def __init__(self, p, use_database=True):
         TESTS::
 
             sage: from sage.rings.finite_rings.conway_polynomials import PseudoConwayLattice
+
+            sage: # needs sage.rings.finite_rings
             sage: PCL = PseudoConwayLattice(3)
             sage: PCL.polynomial(3)
             x^3 + 2*x + 1
 
+            sage: # needs sage.rings.finite_rings
             sage: PCL = PseudoConwayLattice(5, use_database=False)
             sage: PCL.polynomial(12)
             x^12 + 4*x^11 + 2*x^10 + 4*x^9 + 2*x^8 + 2*x^7 + 4*x^6 + x^5 + 2*x^4 + 2*x^2 + x + 2
@@ -209,6 +213,7 @@ def polynomial(self, n):
 
         EXAMPLES::
 
+            sage: # needs sage.rings.finite_rings
             sage: from sage.rings.finite_rings.conway_polynomials import PseudoConwayLattice
             sage: PCL = PseudoConwayLattice(2, use_database=False)
             sage: PCL.polynomial(3)
@@ -277,6 +282,7 @@ def check_consistency(self, n):
 
         EXAMPLES::
 
+            sage: # needs sage.rings.finite_rings
             sage: from sage.rings.finite_rings.conway_polynomials import PseudoConwayLattice
             sage: PCL = PseudoConwayLattice(2, use_database=False)
             sage: PCL.check_consistency(6)
@@ -311,6 +317,7 @@ def _find_pow_of_frobenius(p, n, x, y):
 
     EXAMPLES::
 
+        sage: # needs sage.rings.finite_rings
         sage: from sage.rings.finite_rings.conway_polynomials import _find_pow_of_frobenius
         sage: K.<a> = GF(3^14)
         sage: x = K.multiplicative_generator()
@@ -390,6 +397,7 @@ def _frobenius_shift(K, generators, check_only=False):
 
     EXAMPLES::
 
+        sage: # needs sage.rings.finite_rings
         sage: R.<x> = GF(2)[]
         sage: f30 = x^30 + x^28 + x^27 + x^25 + x^24 + x^20 + x^19 + x^18 + x^16 + x^15 + x^12 + x^10 + x^7 + x^2 + 1
         sage: f20 = x^20 + x^19 + x^15 + x^13 + x^12 + x^11 + x^9 + x^8 + x^7 + x^4 + x^2 + x + 1