diff --git a/src/python_bindings/mod.rs b/src/python_bindings/mod.rs
index 7c3a1d4d..cdb27ef3 100644
--- a/src/python_bindings/mod.rs
+++ b/src/python_bindings/mod.rs
@@ -486,6 +486,10 @@ pub struct InteregularFSMInfo {
     states: HashSet<u32>,
     #[pyo3(get)]
     map: HashMap<u32, HashMap<u32, u32>>,
+    #[pyo3(get)]
+    symbol_mapping: HashMap<char, usize>,
+    #[pyo3(get)]
+    by_transition: HashMap<usize, Vec<char>>,
 }
 
 use crate::interegular::fsm::Alphabet;
@@ -494,7 +498,7 @@ use crate::interegular::patterns::Flag;
 
 #[pyfunction(name = "parse_pattern_to_fsm")]
 #[pyo3(text_signature = "(pattern: &str)")]
-pub fn parse_pattern_to_fsm_internal(py: Python, pattern: &str) -> PyResult<InteregularFSMInfo> {
+pub fn parse_pattern_to_fsm_internal(pattern: &str) -> PyResult<InteregularFSMInfo> {
     let regex_element =
         parse_pattern(pattern).map_err(|_| PyValueError::new_err("Invalid pattern"))?;
 
@@ -512,14 +516,15 @@ pub fn parse_pattern_to_fsm_internal(py: Python, pattern: &str) -> PyResult<Inte
     my_new_symbol_mapping.insert('\0', TransitionKey::Symbol(0)); // add \0 as the anything symbol at 0
 
     let mut counter = 1;
-    for (symbol, transition_key) in patterns_alphabet.symbol_mapping.iter() {
-        let transition_key_inc_by_one = TransitionKey::Symbol(counter);
-        my_new_symbol_mapping.insert(symbol.clone(), transition_key_inc_by_one);
-        counter += 1;
+    for (symbol, _) in patterns_alphabet.symbol_mapping.iter() {
+        if *symbol != '\0' {
+            my_new_symbol_mapping.insert(*symbol, TransitionKey::Symbol(counter));
+            counter += 1;
+        }
     }
-    let alphabet = Alphabet::new(my_new_symbol_mapping);
 
-    let fsm_info = regex_element.to_fsm(Some(alphabet), prefix_postfix, flags);
+    let alphabet = Alphabet::new(my_new_symbol_mapping);
+    let fsm_info = regex_element.to_fsm(Some(alphabet.clone()), prefix_postfix, flags);
 
     // convert into u32 for python
     let map: HashMap<u32, HashMap<u32, u32>> = fsm_info
@@ -535,11 +540,25 @@ pub fn parse_pattern_to_fsm_internal(py: Python, pattern: &str) -> PyResult<Inte
         })
         .collect();
 
+    let python_symbol_mapping: HashMap<char, usize> = alphabet
+        .symbol_mapping
+        .iter()
+        .map(|(k, v)| (*k, (*v).into()))
+        .collect();
+
+    let python_by_transition: HashMap<usize, Vec<char>> = alphabet
+        .by_transition
+        .iter()
+        .map(|(k, v)| (usize::from(*k), v.iter().map(|&c| c).collect()))
+        .collect();
+
     Ok(InteregularFSMInfo {
         initial: fsm_info.initial.into(),
         finals: fsm_info.finals.iter().map(|f| (*f).into()).collect(),
         states: fsm_info.states.iter().map(|s| (*s).into()).collect(),
         map,
+        symbol_mapping: python_symbol_mapping,
+        by_transition: python_by_transition,
     })
 }
 
diff --git a/tests/interegular/test_parse_pattern_to_fsm.py b/tests/interegular/test_parse_pattern_to_fsm.py
index afc24978..63d00893 100644
--- a/tests/interegular/test_parse_pattern_to_fsm.py
+++ b/tests/interegular/test_parse_pattern_to_fsm.py
@@ -1,9 +1,66 @@
 # TODO: THIS IS A WORK IN PROGRESS AND WILL BE COMPLETELY REFACTORED BEFORE MERGING
+from interegular.fsm import anything_else
 from outlines_core.fsm.regex import parse_pattern_to_fsm
 
 import interegular
 
 
+class InteregularFSMInfo:
+    def __init__(self, initial, finals, states, map, symbol_mapping, by_transition):
+        self.initial = initial
+        self.finals = finals
+        self.states = states
+        self.map = map
+        self.symbol_mapping = symbol_mapping
+        self.by_transition = by_transition
+
+
+def map_states_with_symbols(state_map, symbol_mapping):
+    inv_symbol_mapping = {v: k for k, v in symbol_mapping.items()}
+
+    mapped_states = {}
+    for state, transitions in state_map.items():
+        mapped_transitions = {}
+        for symbol, next_state in transitions.items():
+            mapped_symbol = inv_symbol_mapping.get(symbol, symbol)
+            mapped_transitions[mapped_symbol] = next_state
+        mapped_states[state] = mapped_transitions
+
+    return mapped_states
+
+
+def make_fsm_comparable(fsm):
+    # Create a new symbol mapping
+    new_symbol_mapping = {}
+    for symbol, value in fsm.symbol_mapping.items():
+        if symbol == "\x00":
+            new_symbol_mapping[anything_else] = value
+        else:
+            new_symbol_mapping[symbol] = value
+
+    # Create a new map
+    new_map = {}
+    for state, transitions in fsm.map.items():
+        new_transitions = {}
+        for symbol, next_state in transitions.items():
+            if symbol == b"\x00":
+                new_transitions[anything_else] = next_state
+            else:
+                new_transitions[symbol] = next_state
+        new_map[state] = new_transitions
+
+    new_fsm = InteregularFSMInfo(
+        states=fsm.states,
+        initial=fsm.initial,
+        finals=fsm.finals,
+        map=new_map,
+        symbol_mapping=new_symbol_mapping,
+        by_transition=fsm.by_transition,
+    )
+
+    return new_fsm
+
+
 def compare_sets(set1, set2):
     # ensure that the sets are equal
     return frozenset(set1) == frozenset(set2)
@@ -18,6 +75,7 @@ def sort_map(map):
 
 def test_parse_pattern_to_fsm(pattern):
     fsm = parse_pattern_to_fsm(pattern)
+    fsm = make_fsm_comparable(fsm)
 
     ref_pattern = interegular.parse_pattern(pattern)
 
@@ -47,19 +105,28 @@ def test_parse_pattern_to_fsm(pattern):
     # assert fsm.finals == ref_fsm.finals
     # assert fsm.map == ref_fsm.map
 
+    # make maps deterministic (sort by key)
+    fsm_map = sort_map(fsm.map)
+    ref_map = sort_map(ref_fsm.map)
+
     equal_states = frozenset(fsm.states) == frozenset(ref_fsm.states)
     equal_initial = fsm.initial == ref_fsm.initial
     equal_finals = frozenset(fsm.finals) == frozenset(ref_fsm.finals)
-    # equal_map = fsm.map == ref_fsm.map
+    equal_map = map_states_with_symbols(
+        fsm.map, fsm.symbol_mapping
+    ) == map_states_with_symbols(ref_fsm.map, ref_fsm.alphabet._symbol_mapping)
 
     print()
-    if equal_states and equal_initial and equal_finals:  # and equal_map:
+    if equal_states and equal_initial and equal_finals and equal_map:
         print(f"✅ Test passed for pattern: {pattern}")
     else:
         print(f"❌ Test failed for pattern: {pattern}")
 
-    print("_symbol_mapping\n", ref_fsm.alphabet._symbol_mapping)
-    print("by_transition\n", ref_fsm.alphabet.by_transition)
+    print("fsm: symbol_mapping\n", fsm.symbol_mapping)
+    print("fsm: by_transition\n", fsm.by_transition)
+
+    print("ref: symbol_mapping\n", ref_fsm.alphabet._symbol_mapping)
+    print("ref: by_transition\n", ref_fsm.alphabet.by_transition)
 
     print("States")
     print(f"  fsm: {frozenset(fsm.states)}")
@@ -75,13 +142,18 @@ def test_parse_pattern_to_fsm(pattern):
 
     print("Map")
 
-    # make maps deterministic (sort by key)
-    fsm_map = sort_map(fsm.map)
-    ref_map = sort_map(ref_fsm.map)
-
     print(f"  fsm: {fsm_map}")
     print(f"  ref: {ref_map}")
 
+    print("Map with symbols")
+    fsm_map_with_symbols = map_states_with_symbols(fsm_map, fsm.symbol_mapping)
+    print(f"  fsm: {sort_map(fsm_map_with_symbols)}")
+
+    ref_map_with_symbols = map_states_with_symbols(
+        ref_map, ref_fsm.alphabet._symbol_mapping
+    )
+    print(f"  ref: {sort_map(ref_map_with_symbols)}")
+
     return True
 
 
@@ -89,10 +161,10 @@ def test_parse_pattern_to_fsm(pattern):
 # tests copied so they can be run as a standalone script
 if __name__ == "__main__":
     test_cases = [
-        "a",
+        # "a",
         # "ab",
         # "a|b",
-        # "[ab]",
+        "[ab]",
         # TODO: long simple patterns (should work)
         # "aaaaa",
         # "davidholtz",