sage.rings: More # optional

Author: Matthias Koeppe

src/sage/rings/number_field/homset.py

@@ -342,10 +342,10 @@ def _element_constructor_(self, x, base_map=None, base_hom=None, check=True):
         are only approximate::
 
             sage: K.<a> = QuadraticField(-7)
-            sage: f = K.hom([CC(sqrt(-7))], check=False)
+            sage: f = K.hom([CC(sqrt(-7))], check=False)                                # optional - sage.symbolic
             sage: x = polygen(K)
             sage: L.<b> = K.extension(x^2 - a - 5)
-            sage: L.Hom(CC)(f(a + 5).sqrt(), f, check=False)
+            sage: L.Hom(CC)(f(a + 5).sqrt(), f, check=False)                            # optional - sage.symbolic
             Relative number field morphism:
               From: Number Field in b with defining polynomial x^2 - a - 5 over its base field
               To:   Complex Field with 53 bits of precision

src/sage/rings/number_field/number_field_element_quadratic.pyx

@@ -506,10 +506,10 @@ cdef class NumberFieldElement_quadratic(NumberFieldElement_absolute):
 
         Verify embeddings are respected::
 
-            sage: cf6c = CyclotomicField(6, embedding=CDF(exp(-pi*I/3))) ; z6c = cf6c.0
-            sage: cf3(z6c)
+            sage: cf6c = CyclotomicField(6, embedding=CDF(exp(-pi*I/3))); z6c = cf6c.0  # optional - sage.symbolic
+            sage: cf3(z6c)                                                              # optional - sage.symbolic
             -zeta3
-            sage: cf6c(z3)
+            sage: cf6c(z3)                                                              # optional - sage.symbolic
             -zeta6
 
         AUTHOR:
@@ -2215,7 +2215,7 @@ cdef class NumberFieldElement_quadratic(NumberFieldElement_absolute):
 
             sage: x = polygen(ZZ, 'x')
             sage: K.<a> = NumberField(x^2 + 1, embedding=CDF.gen())
-            sage: abs(a+1)
+            sage: abs(a+1)                                                              # optional - sage.symbolic
             sqrt(2)
         """
         if mpz_sgn(self.D.value) == 1: