fixed action on dx for covers with non-p gp action

as_covers/as_form_class.sage

@@ -71,13 +71,15 @@ class as_form:
         m = self.curve.quotient.exponent
         aux = as_reduction(self.curve, RxyzQ(y^m*self.form))
         return as_form(self.curve, aux/y^m)
-
+        #aux = as_reduction(self.curve, RxyzQ(self.form))
+        #return as_form(self.curve, aux)
+    
     def group_action(self, elt):
         C = self.curve
         n = C.height
-        aux = as_function(C, self.form)
-        aux = aux.group_action(elt)
-        return as_form(C, aux.function)
+        dx_action = (C.x.group_action(elt)).diffn()
+        aux = as_function(C, self.form).group_action(elt)
+        return as_function(C, aux.function)*dx_action
 
     def coordinates(self, basis = 0):
         """Find coordinates of the given holomorphic form self in terms of the basis forms in a list holo."""

as_covers/as_function_class.sage

@@ -158,6 +158,7 @@ class as_function:
     def coordinates(self, prec = 100, basis = 0):
         "Return coordinates in H^1(X, OX)."
         AS = self.curve
+        F = AS.base_ring
         if basis == 0:
             basis = [AS.holomorphic_differentials_basis(), AS.cohomology_of_structure_sheaf_basis()]
         holo_diffs = basis[0]