diff --git a/oec/display.py b/oec/display.py
index f4de7fd..ce9716c 100644
--- a/oec/display.py
+++ b/oec/display.py
@@ -62,8 +62,8 @@ _ASCII_CHAR_MAP = {
     '¯': 0x37, # ???
     '°': 0x38,
     # 0x39 - Accent?
-    # 0x3a - Accent?
-    # 0x3b - A tilde?  It looks more like an accent...
+    '^': 0x3a, # More like an accent
+    '~': 0x3b, # More like an accent
     '¨': 0x3c,
     # 0x3d - Accute accent?
     # 0x3e - Opposite of accute accent?
diff --git a/tests/test_display.py b/tests/test_display.py
index e5aab23..38b6564 100644
--- a/tests/test_display.py
+++ b/tests/test_display.py
@@ -9,7 +9,7 @@ class EncodeAsciiCharacterTestCase(unittest.TestCase):
         self.assertEqual(encode_ascii_character(ord('a')), 0x80)
 
     def test_unmapped_character(self):
-        self.assertEqual(encode_ascii_character(ord('^')), 0x00)
+        self.assertEqual(encode_ascii_character(ord('`')), 0x00)
 
     def test_out_of_range(self):
         self.assertEqual(encode_ascii_character(ord('✓')), 0x00)