# sympy__sympy-18698
# Loki Mode Multi-Agent Patch
# Attempts: 1

Based on the issue description and architect's analysis, I'll create a patch for sympy's `sqf_list` function. The bug is that factors with the same multiplicity are returned separately instead of being combined.

```
--- a/sympy/polys/polytools.py
+++ b/sympy/polys/polytools.py
@@ -5765,6 +5765,18 @@ def _sorted_factors(factors, method):
     return sorted(factors, key=lambda f: f[0].sort_key())
 
 
+def _factors_product(factors):
+    """Multiply a list of ``bool, dict`` pairs. """
+    coeff, factors_list = factors
+    result = {}
+    for factor, k in factors_list:
+        if k in result:
+            result[k] *= factor
+        else:
+            result[k] = factor
+    return coeff, [(f, k) for k, f in result.items()]
+
+
 def _generic_factor_list(f, gens, args, method):
     """Helper function for :func:`sqf_list` and :func:`factor_list`. """
     options.allowed_flags(args, ['polys'])
@@ -5823,6 +5835,10 @@ def _generic_factor_list(f, gens, args, method):
     else:
         coeff, factors = result
 
+    if method == 'sqf':
+        # Combine factors with the same multiplicity
+        coeff, factors = _factors_product((coeff, factors))
+
     return coeff, _sorted_factors(factors, method)
 
 
```

Wait, I need to reconsider. The `_factors_product` function above groups by multiplicity incorrectly (using k as key instead of properly grouping). Let me fix this:

--- a/sympy/polys/polytools.py
+++ b/sympy/polys/polytools.py
@@ -5823,6 +5823,14 @@ def _generic_factor_list(f, gens, args, method):
     else:
         coeff, factors = result
 
+    if method == 'sqf':
+        # Combine factors with the same multiplicity
+        multiplicity_map = {}
+        for factor, k in factors:
+            if k in multiplicity_map:
+                multiplicity_map[k] *= factor
+            else:
+                multiplicity_map[k] = factor
+        factors = [(f, k) for k, f in multiplicity_map.items()]
+
     return coeff, _sorted_factors(factors, method)