diff --git a/src/tasks/tasks01/pfmath.rs b/src/tasks/tasks01/pfmath.rs
index 71d6991..1df7e96 100644
--- a/src/tasks/tasks01/pfmath.rs
+++ b/src/tasks/tasks01/pfmath.rs
@@ -143,43 +143,38 @@ mod tests {
     fn test_poly_sorting_02() {
         let json1 = json!(
             {"polys": [
-    [
-      "AQAAAAAAAAAAAAAAAAAAAA==",  // 0x01
-      "AgAAAAAAAAAAAAAAAAAAAA==",  // 0x02 
-      "AwAAAAAAAAAAAAAAAAAAAA=="   // 0x03
-    ],
-    [
-      "AQAAAAAAAAAAAAAAAAAAAA==",  // 0x01
-      "AgAAAAAAAAAAAAAAAAAAAA==",  // 0x02
-      "BAAAAAAAAAAAAAAAAAAAAA=="   // 0x04
-    ],
-    [
-      "AQAAAAAAAAAAAAAAAAAAAA==",  // 0x01
-      "AgAAAAAAAAAAAAAAAAAAAA=="   // 0x02
-    ],
-    [
-      "AQAAAAAAAAAAAAAAAAAAAA==",  // 0x01
-      "AwAAAAAAAAAAAAAAAAAAAA=="   // 0x03
-    ]
-  ],});
+            [
+            "AQAAAAAAAAAAAAAAAAAAAA==",  // 0x01
+            "AgAAAAAAAAAAAAAAAAAAAA==",  // 0x02 
+            "AwAAAAAAAAAAAAAAAAAAAA=="   // 0x03
+            ],
+            [
+            "AQAAAAAAAAAAAAAAAAAAAA==",  // 0x01
+            "AgAAAAAAAAAAAAAAAAAAAA==",  // 0x02
+            "BAAAAAAAAAAAAAAAAAAAAA=="   // 0x04
+            ],
+            [
+            "AQAAAAAAAAAAAAAAAAAAAA==",  // 0x01
+            "AgAAAAAAAAAAAAAAAAAAAA=="   // 0x02
+            ],
+            [
+            "AQAAAAAAAAAAAAAAAAAAAA==",  // 0x01
+            "AwAAAAAAAAAAAAAAAAAAAA=="   // 0x03
+            ]
+        ],});
 
         let expected = json!([
+            ["AQAAAAAAAAAAAAAAAAAAAA==", "AgAAAAAAAAAAAAAAAAAAAA=="],
+            ["AQAAAAAAAAAAAAAAAAAAAA==", "AwAAAAAAAAAAAAAAAAAAAA=="],
             [
-                "WereNoStrangersToLoveA==",
-                "YouKnowTheRulesAAAAAAA==",
-                "AndSoDoIAAAAAAAAAAAAAA=="
+                "AQAAAAAAAAAAAAAAAAAAAA==",
+                "AgAAAAAAAAAAAAAAAAAAAA==",
+                "BAAAAAAAAAAAAAAAAAAAAA=="
             ],
             [
-                "NeverGonnaMakeYouCryAA==",
-                "NeverGonnaSayGoodbyeAA==",
-                "NeverGonnaTellALieAAAA==",
-                "AndHurtYouAAAAAAAAAAAA=="
-            ],
-            [
-                "NeverGonnaGiveYouUpAAA==",
-                "NeverGonnaLetYouDownAA==",
-                "NeverGonnaRunAroundAAA==",
-                "AndDesertYouAAAAAAAAAA=="
+                "AQAAAAAAAAAAAAAAAAAAAA==",
+                "AgAAAAAAAAAAAAAAAAAAAA==",
+                "AwAAAAAAAAAAAAAAAAAAAA=="
             ]
         ]);
 
diff --git a/src/utils/field.rs b/src/utils/field.rs
index 3c7c683..86f545d 100644
--- a/src/utils/field.rs
+++ b/src/utils/field.rs
@@ -1,5 +1,6 @@
 use std::{
     cmp::Ordering,
+    mem::discriminant,
     ops::{Add, BitXor, Div, Mul, Sub},
 };
 
@@ -9,7 +10,10 @@ use serde_json::Value;
 
 use crate::utils::poly::polynomial_2_block;
 
-use super::{math::xor_bytes, poly::gfmul};
+use super::{
+    math::{reverse_bits_in_bytevec, xor_bytes},
+    poly::gfmul,
+};
 
 #[derive(Debug, serde::Serialize)]
 pub struct Polynomial {
@@ -210,6 +214,16 @@ impl Polynomial {
         }
         true
     }
+
+    fn monic(mut self) -> Self {
+        let divident = self.polynomial.last().unwrap().clone();
+
+        for fieldelement in &mut self.polynomial.iter_mut() {
+            *fieldelement = fieldelement.clone() / divident.clone();
+        }
+
+        todo!();
+    }
 }
 
 impl Clone for Polynomial {
@@ -324,19 +338,21 @@ impl PartialEq for Polynomial {
 
 impl PartialOrd for Polynomial {
     fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
-        match self.polynomial.len().cmp(&other.polynomial.len()) {
+        match other.polynomial.len().cmp(&self.polynomial.len()) {
             Ordering::Equal => {
-                for (field_a, field_b) in
-                    self.as_ref().iter().rev().zip(other.as_ref().iter().rev())
-                {
-                    match field_a.cmp(field_b) {
-                        std::cmp::Ordering::Equal => continue,
-                        other => return Some(other.reverse()),
+                for (field_a, field_b) in self.as_ref().iter().zip(other.as_ref().iter()) {
+                    match field_a
+                        .reverse_bits()
+                        .partial_cmp(&field_b.reverse_bits())
+                        .unwrap()
+                    {
+                        Ordering::Equal => continue,
+                        other => return Some(other),
                     }
                 }
                 Some(Ordering::Equal)
             }
-            other => Some(other),
+            other => Some(other.reverse()),
         }
     }
 }
@@ -345,19 +361,17 @@ impl Eq for Polynomial {}
 
 impl Ord for Polynomial {
     fn cmp(&self, other: &Self) -> Ordering {
-        match self.polynomial.len().cmp(&other.polynomial.len()) {
+        match other.polynomial.len().cmp(&self.polynomial.len()) {
             Ordering::Equal => {
-                for (field_a, field_b) in
-                    self.as_ref().iter().rev().zip(other.as_ref().iter().rev())
-                {
-                    match field_a.cmp(field_b) {
-                        std::cmp::Ordering::Equal => continue,
-                        other => return other.reverse(),
+                for (field_a, field_b) in self.as_ref().iter().zip(other.as_ref().iter()) {
+                    match field_a.reverse_bits().cmp(&field_b.reverse_bits()) {
+                        Ordering::Equal => continue,
+                        other => return other,
                     }
                 }
                 Ordering::Equal
             }
-            other => other,
+            other => other.reverse(),
         }
     }
 }
@@ -432,6 +446,10 @@ impl FieldElement {
     fn is_zero(&self) -> bool {
         self.field_element.iter().all(|&x| x == 0x00)
     }
+
+    fn reverse_bits(&self) -> Self {
+        FieldElement::new(reverse_bits_in_bytevec(self.field_element.clone()))
+    }
 }
 
 impl Mul for FieldElement {
@@ -525,10 +543,10 @@ impl Div for &FieldElement {
 
 impl PartialOrd for FieldElement {
     fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
-        for (byte_a, byte_b) in self.as_ref().iter().rev().zip(other.as_ref().iter().rev()) {
-            match byte_a.reverse_bits().cmp(&byte_b.reverse_bits()) {
+        for (byte_a, byte_b) in self.as_ref().iter().zip(other.as_ref().iter()) {
+            match byte_a.partial_cmp(&byte_b).unwrap() {
                 std::cmp::Ordering::Equal => continue,
-                other => return Some(other),
+                other => return Some(other.reverse()),
             }
         }
         Some(Ordering::Equal)
@@ -548,9 +566,9 @@ impl Eq for FieldElement {
 impl Ord for FieldElement {
     fn cmp(&self, other: &Self) -> Ordering {
         for (byte_a, byte_b) in self.as_ref().iter().zip(other.as_ref().iter()) {
-            match byte_a.reverse_bits().cmp(&byte_b.reverse_bits()) {
+            match byte_a.cmp(&byte_b) {
                 std::cmp::Ordering::Equal => continue,
-                other => return other,
+                other => return other.reverse(),
             }
         }
         Ordering::Equal