adding examples

Author: fchapoton

src/sage/combinat/sf/elementary.py

@@ -101,6 +101,16 @@ def P(i):
     def _magma_init_(self, magma):
         """
         Used in converting this ring to the corresponding ring in MAGMA.
+
+        EXAMPLES::
+
+            sage: # optional - magma
+            sage: S = SymmetricFunctions(QQ).e()
+            sage: t = 4*S[3,2]+9
+            sage: mt = magma(t); mt
+            9 + 4*$.[3,2]
+            sage: mt.sage()
+            9*p[] + 4*e[3, 2]
         """
         B = magma(self.base_ring())
         Bref = B._ref()

src/sage/combinat/sf/homogeneous.py

@@ -128,6 +128,16 @@ def P(i):
     def _magma_init_(self, magma):
         """
         Used in converting this ring to the corresponding ring in MAGMA.
+
+        EXAMPLES::
+
+            sage: # optional - magma
+            sage: S = SymmetricFunctions(QQ).h()
+            sage: t = 4*S[3,2]+9
+            sage: mt = magma(t); mt
+            9 + 4*$.[3,2]
+            sage: mt.sage()
+            9*p[] + 4*h[3, 2]
         """
         B = magma(self.base_ring())
         Bref = B._ref()

src/sage/combinat/sf/monomial.py

@@ -279,6 +279,16 @@ def antipode_by_coercion(self, element):
     def _magma_init_(self, magma):
         """
         Used in converting this ring to the corresponding ring in MAGMA.
+
+        EXAMPLES::
+
+            sage: # optional - magma
+            sage: S = SymmetricFunctions(QQ).m()
+            sage: t = 4*S[3,2]+9
+            sage: mt = magma(t); mt
+            9 + 4*$.[3,2]
+            sage: mt.sage()
+            9*p[] + 4*m[3, 2]
         """
         B = magma(self.base_ring())
         Bref = B._ref()

src/sage/combinat/sf/powersum.py

@@ -219,6 +219,16 @@ def eval_at_permutation_roots_on_generators(self, k, rho):
     def _magma_init_(self, magma):
         """
         Used in converting this ring to the corresponding ring in MAGMA.
+
+        EXAMPLES::
+
+            sage: # optional - magma
+            sage: S = SymmetricFunctions(QQ).p()
+            sage: t = 4*S[3,2]+9
+            sage: mt = magma(t); mt
+            9 + 4*$.[3,2]
+            sage: mt.sage()
+            9*p[] + 4*p[3, 2]
         """
         B = magma(self.base_ring())
         Bref = B._ref()

src/sage/combinat/sf/schur.py

@@ -227,6 +227,16 @@ def _repeated_bernstein_creation_operator_on_basis(self, la, nu):
     def _magma_init_(self, magma):
         """
         Used in converting this ring to the corresponding ring in MAGMA.
+
+        EXAMPLES::
+
+            sage: # optional - magma
+            sage: S = SymmetricFunctions(QQ).s()
+            sage: t = 4*S[3,2]+9
+            sage: mt = magma(t); mt
+            9 + 4*$.[3,2]
+            sage: mt.sage()
+            9*p[] + 4*s[3, 2]
         """
         B = magma(self.base_ring())
         Bref = B._ref()