diff --git a/examples/main.rs b/examples/main.rs
index 25cb23d..355d0cb 100644
--- a/examples/main.rs
+++ b/examples/main.rs
@@ -5,9 +5,9 @@ use math::dft::ntt::Table;
 
 fn main() {
     // Example usage of `Prime<u64>`
-    let q_base: u64 = 0x1fffffffffe00001;      // Example prime base
+    let q_base: u64 = 65537;      // Example prime base
     let q_power: usize = 1;     // Example power
-    let mut prime_instance: Prime<u64> = Prime::<u64>::new(q_base, q_power);
+    let prime_instance: Prime<u64> = Prime::<u64>::new(q_base, q_power);
     
     // Display the fields of `Prime` to verify
     println!("Prime instance created:");
@@ -15,7 +15,7 @@ fn main() {
     println!("q_base: {}", prime_instance.q_base());
     println!("q_power: {}", prime_instance.q_power());
 
-    let n: u64 = 1024;
+    let n: u64 = 32;
     let nth_root: u64 = n<<1;
 
     let ntt_table: Table<u64> = Table::<u64>::new(prime_instance, nth_root);
@@ -38,4 +38,15 @@ fn main() {
 
     let r : Ring<u64> = Ring::<u64>::new(n as usize, q_base, q_power);
 
+    let mut p0: math::poly::Poly<u64> = r.new_poly();
+    let mut p1: math::poly::Poly<u64> = r.new_poly();
+
+    for i in 0..p0.n(){
+        p0.0[i] = i as u64
+    }
+
+    r.automorphism(p0, (2*r.n-1) as u64, &mut p1);
+
+    println!("{:?}", p1);
+
 }
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diff --git a/src/poly.rs b/src/poly.rs
index d1e4d92..1cf8541 100644
--- a/src/poly.rs
+++ b/src/poly.rs
@@ -1,5 +1,6 @@
 pub mod poly;
 
+#[derive(Clone, Debug, PartialEq, Eq)]
 pub struct Poly<O>(pub Vec<O>);
 
 impl Poly<u64>{
diff --git a/src/ring/impl_u64/automorphism.rs b/src/ring/impl_u64/automorphism.rs
index c6dcb60..c78b2ce 100644
--- a/src/ring/impl_u64/automorphism.rs
+++ b/src/ring/impl_u64/automorphism.rs
@@ -34,10 +34,10 @@ impl Ring<u64>{
         let a_vec: &_ = &a.0;
 
         for i in 0..n{
-            let i_in: u64 = i as u64 * gal_el;
-            let i_out: u64 = i_in & mask;
-            let sign: u64 = (i_in>>log_n) & 1;
-            b_vec[i_out as usize] = a_vec[i_in as usize] * (sign^1) | (q - a_vec[i_in as usize]) * sign
+            let gal_el_i: u64 = i as u64 * gal_el;
+            let i_out: u64 = gal_el_i & mask;
+            let sign: u64 = (gal_el_i>>log_n) & 1;
+            b_vec[i_out as usize] = a_vec[i] * (sign^1) | (q - a_vec[i]) * sign
         }
     }
 }
\ No newline at end of file