Include domain id in name stem

lxc_net/container.py

@@ -38,7 +38,8 @@ class OverlayDirectory:
             root_temp_dir.mkdir()
 
         self.overlay_temp_dir = tempfile.TemporaryDirectory(
-            prefix=name + ("_" if name else ""), dir=root_temp_dir.resolve(),
+            prefix=name + ("_" if name else ""),
+            dir=root_temp_dir.resolve(),
         )
         self.temp_dir = Path(self.overlay_temp_dir.name)
         self.temp_dir_cleaner = None
@@ -142,9 +143,9 @@ class Container(util.LibvirtObject):
 
         super().__init__(conn)
 
-        if not name:
-            name = str(self.id)
-        self.name = settings.PREFIX + "_dom_" + name
+        self.name = f"{settings.PREFIX}_dom{self.id:02d}"
+        if name:
+            self.name += "_" + name
 
         self.networks = networks
         self.mem = mem