diff --git a/src/jubjub/mod.rs b/src/jubjub/mod.rs
index 2bffda8..61b9992 100644
--- a/src/jubjub/mod.rs
+++ b/src/jubjub/mod.rs
@@ -78,23 +78,29 @@ mod test {
             assert!(a.legendre() == LegendreSymbol::QuadraticResidue);
         }
 
-        // Check that A^2 - 4 is nonsquare:
-        let mut tmp = params.montgomery_a;
-        tmp.square();
-        tmp.sub_assign(&Fr::from_str("4").unwrap());
-        assert!(tmp.legendre() == LegendreSymbol::QuadraticNonResidue);
-
-        // Check that A - 2 is nonsquare:
-        let mut tmp = params.montgomery_a;
-        tmp.sub_assign(&Fr::from_str("2").unwrap());
-        assert!(tmp.legendre() == LegendreSymbol::QuadraticNonResidue);
-
-        // Check the validity of the scaling factor
-        let mut tmp = a;
-        tmp.sub_assign(&params.edwards_d);
-        tmp = tmp.inverse().unwrap();
-        tmp.mul_assign(&Fr::from_str("4").unwrap());
-        tmp = tmp.sqrt().unwrap();
-        assert_eq!(tmp, params.scale);
+        {
+            // Check that A^2 - 4 is nonsquare:
+            let mut tmp = params.montgomery_a;
+            tmp.square();
+            tmp.sub_assign(&Fr::from_str("4").unwrap());
+            assert!(tmp.legendre() == LegendreSymbol::QuadraticNonResidue);
+        }
+
+        {
+            // Check that A - 2 is nonsquare:
+            let mut tmp = params.montgomery_a;
+            tmp.sub_assign(&Fr::from_str("2").unwrap());
+            assert!(tmp.legendre() == LegendreSymbol::QuadraticNonResidue);
+        }
+
+        {
+            // Check the validity of the scaling factor
+            let mut tmp = a;
+            tmp.sub_assign(&params.edwards_d);
+            tmp = tmp.inverse().unwrap();
+            tmp.mul_assign(&Fr::from_str("4").unwrap());
+            tmp = tmp.sqrt().unwrap();
+            assert_eq!(tmp, params.scale);
+        }
     }
 }
diff --git a/src/jubjub/montgomery.rs b/src/jubjub/montgomery.rs
index 559d69a..9d7c944 100644
--- a/src/jubjub/montgomery.rs
+++ b/src/jubjub/montgomery.rs
@@ -518,13 +518,12 @@ mod test {
     }
 
     #[test]
-    fn test_awkward_points() {
+    fn test_low_order_points() {
         use super::edwards;
 
-        //let rng = &mut XorShiftRng::from_seed([0x5dbe6259, 0x8d313d76, 0x3237db17, 0xe5bc0654]);
         let params = &JubjubParams::new();
 
-        let mut awkward_points: Vec<Point<Bls12, Unknown>> = vec![];
+        let mut low_order_points: Vec<Point<Bls12, Unknown>> = vec![];
 
         {
             let mut push_point = |x, y| {
@@ -533,7 +532,7 @@ mod test {
 
                 assert!(is_on_curve(x, y, params));
 
-                awkward_points.push(Point {
+                low_order_points.push(Point {
                     x: x,
                     y: y,
                     infinity: false,
@@ -587,9 +586,9 @@ mod test {
         }
 
         // push 8p (point at infinity)
-        awkward_points.push(Point::zero());
+        low_order_points.push(Point::zero());
 
-        for point in &awkward_points {
+        for point in &low_order_points {
             let ed = edwards::Point::from_montgomery(point, params);
             let mut ed_tmp = ed.clone();
             let mut mont_tmp = point.clone();