diff --git a/main.pdf b/main.pdf
index 91de769..3a672e6 100644
Binary files a/main.pdf and b/main.pdf differ
diff --git a/main.typ b/main.typ
index bbd772f..478f462 100644
--- a/main.typ
+++ b/main.typ
@@ -669,7 +669,7 @@ Let now $K$ be an oriented link with $n$ components so $K = K_1 union ... union
       $
         kL_K (a, z) colon.eq
         1 / (2n) [
-          sum_(q = p_i, overline(p)_i) sum_(i=1)^(|lambda(q)|) (-1)^(|lambda(q)|+1) d kL_(K_i) kL_(K - K_i) + z sum_K (lambda(q))
+          sum_(i=1)^n sum_(q=p_i, overline(p)_i) ((-1)^(|lambda(q)|+1) d kL_(K_i) kL_(K - K_i) + z sum_K (lambda(q)))
         ]
       $
     ]
@@ -682,7 +682,7 @@ Let now $K$ be an oriented link with $n$ components so $K = K_1 union ... union
       $
         kL_K (a, z) colon.eq
         1 / 2 [
-          sum_(q = p, overline(p)) sum_(i=1)^(|lambda(q)|) (-1)^(|lambda(q)|+1) kL(hat(K)(lambda(q))) + z sum_K (lambda(q))
+          sum_(q = p, overline(p)) ((-1)^(|lambda(q)|+1) kL(hat(K)(lambda(q))) + z sum_K (lambda(q)))
         ]
       $
     ]