Cannot get same hash in C# as in python

I have a string that I need to hash in order to access an API. The API-creator has provided a codesnippet in Python, which hashes the code like this:

hashed_string = hashlib.sha1(string_to_hash).hexdigest()

When using this hashed string to access the API, everything is fine. I have tried to get the same hashed string result in C#, but without success. I have tried incredibly many ways but nothing has worked so far. I am aware about the hexdigest part aswell and I have kept that in mind when trying to mimic the behaviour.

Does anyone know how to get the same result in C#?

EDIT: This is one of the many ways I have tried to reproduce the same result in C#:

public string Hash(string input)
{
    using (SHA1Managed sha1 = new SHA1Managed())
    {
        var hash = sha1.ComputeHash(Encoding.UTF8.GetBytes(input));
        var sb = new StringBuilder(hash.Length * 2);

        foreach (byte b in hash)
        {
            sb.Append(b.ToString("X2"));
        }

        return sb.ToString().ToLower();
    }
}

This code is taken from: Hashing with SHA1 Algorithm in C#

Another way

public string ToHexString(string myString)
{
    HMACSHA1 hmSha1 = new HMACSHA1();
    Byte[] hashMe = new ASCIIEncoding().GetBytes(myString);
    Byte[] hmBytes = hmSha1.ComputeHash(hashMe);
    StringBuilder hex = new StringBuilder(hmBytes.Length * 2);
    foreach (byte b in hmBytes)
    {
        hex.AppendFormat("{0:x2}", b);
    }
    return hex.ToString();
}

This code is taken from: Python hmac and C# hmac

EDIT 2

Some input/output:

C# (using second method provided in above description)

input: callerId1495610997apiKey3*_&E#N@B1)O)-1Y

output: 1ecded2b66e152f0965adb96727d96b8f5db588a

Python

input: callerId1495610997apiKey3*_&E#N@B1)O)-1Y

output: bf11a12bbac84737a39152048e299fa54710d24e

C# (using first method provided in above description)

input: callerId1495611935​apiKey{[B{+%P)s;WD5&5x

output: 7e81e0d40ff83faf1173394930443654a2b39cb3

Python

input: callerId1495611935​apiKey{[B{+%P)s;WD5&5x

output: 512158bbdbc78b1f25f67e963fefdc8b6cbcd741