Generate an advanced python script that envelops this idea fully:

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### **Super RSA Versatile Key (SRVK) Cryptography Algorithm**

The **Super RSA Versatile Key (SRVK)** is an advanced public-key cryptosystem that builds upon the RSA algorithm, introducing versatility in key generation, encryption, and decryption through dynamic keys and modular components. SRVK enhances the traditional RSA approach by integrating multi-layered security, dynamic key updates, and optional hybrid encryption for more robust confidentiality and integrity.

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### **Key Features of SRVK:**

1. **Dynamic Key Generation**: Unlike RSA, which uses a fixed key pair, SRVK allows for the generation of dynamic key pairs. This means the public and private keys can change periodically or based on specific conditions (e.g., time-based, event-based, or after a fixed number of operations). This reduces the risk of key exposure over time.

2. **Multi-layer Encryption**: SRVK introduces an additional layer of encryption that allows for both traditional RSA and a new lightweight symmetric algorithm (e.g., AES-128). Hybrid encryption increases both security and performance, as the symmetric key is encrypted using RSA, and the actual data is encrypted using the symmetric key.

3. **Versatile Modulus**: The modulus used in RSA (usually a product of two prime numbers) can be generated using multiple methods in SRVK:
   - **Prime product modulus** (Traditional RSA)
   - **Polynomial modulus** (A product of irreducible polynomials for added algebraic complexity)
   - **Elliptic curve-based modulus** for advanced security features (EC-based SRVK)

4. **Threshold Decryption**: SRVK allows for multi-party decryption, where the private key is divided into shares (using Shamir’s Secret Sharing) so that no single party has full access to the key. Decryption can only be performed when a threshold number of parties collaborate. This prevents single points of failure in cryptographic systems.

5. **Self-Rotating Keys**: SRVK keys can be designed to "rotate" themselves after a specified time or number of operations. This self-rotation feature mitigates the risk of long-term key exposure in environments where constant key rotation is necessary, such as for sensitive data over time.

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### **SRVK Algorithm Steps:**

1. **Key Generation**:
   - **Step 1**: Generate two large prime numbers \( p \) and \( q \).
   - **Step 2**: Generate a secondary modular component (optional) based on polynomial or elliptic curve methods.
   - **Step 3**: Compute the modulus \( n = p \times q \) (for traditional RSA) or \( n \) using polynomial or elliptic curve methods.
   - **Step 4**: Choose a public exponent \( e \) such that \( e \) is coprime with \( \varphi(n) \) (Euler’s totient function for \( n \)).
   - **Step 5**: Compute the private key \( d \) such that \( d \times e \equiv 1 \pmod{\varphi(n)} \).
   - **Step 6**: Optionally divide the private key into shares using Shamir's Secret Sharing or rotate the key periodically.

2. **Encryption**:
   - **Step 1**: Encrypt the message using a hybrid method: first encrypt the message with a lightweight symmetric key (e.g., AES), then encrypt the symmetric key with the public RSA key.
   - **Step 2**: If a dynamic modulus is used (polynomial or elliptic curve), apply the corresponding modular arithmetic for encryption.

3. **Decryption**:
   - **Step 1**: Decrypt the symmetric key using the private RSA key, or the threshold decryption mechanism if it is split.
   - **Step 2**: Decrypt the message using the decrypted symmetric key.

4. **Key Rotation (Optional)**: After a specified period or number of operations, generate a new key pair and update the encryption/decryption process.

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### **Security Enhancements:**

- **Multiple Modulus Options**: The use of polynomial and elliptic curve-based modulus options adds complexity, making it harder for adversaries to break the system through traditional factorization or discrete logarithm attacks.
  
- **Threshold Decryption**: The use of Shamir's Secret Sharing for key splitting and threshold decryption ensures that even if part of the private key is compromised, decryption cannot occur without the collaboration of multiple parties, ensuring higher trust in sensitive environments.

- **Self-Rotating Keys**: With periodic key changes, even if an attacker compromises a key, the effectiveness of the attack is limited as the key will change, reducing the time window for the attack.