diff --git a/src/fri.py b/src/fri.py
index 23b47fe..7ca7666 100644
--- a/src/fri.py
+++ b/src/fri.py
@@ -145,6 +145,7 @@ def prove_low_degree(evals, rate, degree_bound, gen, num_verifier_queries, trans
             'first_oracle': first_tree.root,
             'intermediate_oracles': [tree.root for tree in trees],
             'degree_bound': degree_bound,
+            'final_value': evals[0],
         }
 
     # f(x) = f0(x^2) + x * f1(x^2)
@@ -278,7 +279,9 @@ def verify_queries(proof, k, num_vars, num_verifier_queries, T, transcript, debu
                     if debug: print("code_left:", code_left)
                     if debug: print("code_right:", code_right)
                     if debug: print("alpha:", alpha)
-                    assert f_code_folded == ((code_left + code_right)/2 + alpha * (code_left - code_right)/(2*table[x0])), f"failed to check fri, i: {i}, x0: {x0}, x1: {x1}, code_left: {code_left}, code_right: {code_right}, alpha: {alpha}, generator: {table}"
+                    assert f_code_folded == (code_left + code_right)/2 + alpha * (code_left - code_right)/(2*table[x0]), f"failed to check fri, i: {i}, x0: {x0}, x1: {x1}, code_left: {code_left}, code_right: {code_right}, alpha: {alpha}, generator: {table}"
+                else:
+                    assert proof["final_value"] == (code_left + code_right)/2 + alpha * (code_left - code_right)/(2*table[x0]), f"failed to check fri, i: {i}, x0: {x0}, x1: {x1}, code_left: {code_left}, code_right: {code_right}, alpha: {alpha}, generator: {table}, final_value: {proof['final_value']}"
 
                 if i == 0:
                     assert verify_decommitment(x0, code_left, mp, proof['first_oracle']), "failed to check decommitment at first level"
diff --git a/tests/test_fri.py b/tests/test_fri.py
index cf9af06..dcb6f65 100644
--- a/tests/test_fri.py
+++ b/tests/test_fri.py
@@ -60,7 +60,7 @@ def test_prove(self):
         rate = 4
         evals_size = 4
         coset = Fp.primitive_element() ** (192 // (evals_size * rate))
-        point = coset ** 0 * Fp.primitive_element()
+        point = coset ** randint(evals_size * rate, 192) * Fp.primitive_element()
         evals = [randint(0, 193) for i in range(evals_size)]
         value = UniPolynomial.uni_eval_from_evals(evals, point, [coset ** i for i in range(len(evals))])
         proof = FRI.prove(evals, rate, point, coset, [coset ** i for i in range(evals_size * rate)], debug=False)