diff --git a/src/plonk.rs b/src/plonk.rs
index 4e147d1..bb9fd31 100644
--- a/src/plonk.rs
+++ b/src/plonk.rs
@@ -909,39 +909,37 @@ fn test_proving() {
         ],
         lookups: [
             Argument {
-                input_columns: [
-                    Column {
-                        index: 1,
-                        column_type: Advice,
-                    },
+                input_expressions: [
+                    Advice(
+                        0,
+                    ),
                 ],
-                table_columns: [
-                    Column {
-                        index: 6,
-                        column_type: Fixed,
-                    },
+                table_expressions: [
+                    Fixed(
+                        0,
+                    ),
                 ],
             },
             Argument {
-                input_columns: [
-                    Column {
-                        index: 1,
-                        column_type: Advice,
-                    },
-                    Column {
-                        index: 2,
-                        column_type: Advice,
-                    },
+                input_expressions: [
+                    Product(
+                        Advice(
+                            0,
+                        ),
+                        Advice(
+                            1,
+                        ),
+                    ),
                 ],
-                table_columns: [
-                    Column {
-                        index: 6,
-                        column_type: Fixed,
-                    },
-                    Column {
-                        index: 7,
-                        column_type: Fixed,
-                    },
+                table_expressions: [
+                    Product(
+                        Fixed(
+                            0,
+                        ),
+                        Fixed(
+                            1,
+                        ),
+                    ),
                 ],
             },
         ],
diff --git a/src/plonk/circuit.rs b/src/plonk/circuit.rs
index 8f959cf..f9e38b2 100644
--- a/src/plonk/circuit.rs
+++ b/src/plonk/circuit.rs
@@ -401,7 +401,7 @@ pub struct PinnedConstraintSystem<'a, F: Field> {
     instance_queries: &'a Vec<(Column<Instance>, Rotation)>,
     fixed_queries: &'a Vec<(Column<Fixed>, Rotation)>,
     permutations: &'a Vec<permutation::Argument>,
-    lookups: &'a Vec<lookup::Argument>,
+    lookups: &'a Vec<lookup::Argument<F>>,
 }
 
 struct PinnedGates<'a, F: Field>(&'a Vec<(&'static str, Expression<F>)>);