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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def initialize(self, secret_shares=5, secret_threshold=3, pgp_keys=None, root_token_pgp_key=None, stored_shares=None, recovery_shares=None, recovery_threshold=None, recovery_pgp_keys=None):
 """Initialize a new Vault. The Vault must not have been previously initialized. The recovery options, as well as the stored shares option, are only available when using Vault HSM. Supported methods: PUT: /sys/init. Produces: 200 application/json :param secret_shares: The number of shares to split the master key into. :type secret_shares: int :param secret_threshold: Specifies the number of shares required to reconstruct the master key. This must be less than or equal secret_shares. If using Vault HSM with auto-unsealing, this value must be the same as secret_shares. :type secret_threshold: int :param pgp_keys: List of PGP public keys used to encrypt the output unseal keys. Ordering is preserved. The keys must be base64-encoded from their original binary representation. The size of this array must be the same as secret_shares. :type pgp_keys: list :param root_token_pgp_key: Specifies a PGP public key used to encrypt the initial root token. The key must be base64-encoded from its original binary representation. :type root_token_pgp_key: str | unicode :param stored_shares: <enterprise only> Specifies the number of shares that should be encrypted by the HSM and stored for auto-unsealing. Currently must be the same as secret_shares. :type stored_shares: int :param recovery_shares: <enterprise only> Specifies the number of shares to split the recovery key into. :type recovery_shares: int :param recovery_threshold: <enterprise only> Specifies the number of shares required to reconstruct the recovery key. This must be less than or equal to recovery_shares. :type recovery_threshold: int :param recovery_pgp_keys: <enterprise only> Specifies an array of PGP public keys used to encrypt the output recovery keys. Ordering is preserved. The keys must be base64-encoded from their original binary representation. The size of this array must be the same as recovery_shares. :type recovery_pgp_keys: list :return: The JSON response of the request. :rtype: dict """

        params = {
            'secret_shares': secret_shares,
            'secret_threshold': secret_threshold,
            'root_token_pgp_key': root_token_pgp_key,
        }

        if pgp_keys is not None:
            if len(pgp_keys) != secret_shares:
                raise ParamValidationError('length of pgp_keys list argument must equal secret_shares value')
            params['pgp_keys'] = pgp_keys

        if stored_shares is not None:
            if stored_shares != secret_shares:
                raise ParamValidationError('value for stored_shares argument must equal secret_shares argument')
            params['stored_shares'] = stored_shares

        if recovery_shares is not None:
            params['recovery_shares'] = recovery_shares

        if recovery_threshold is not None:
            if recovery_threshold > recovery_shares:
                error_msg = 'value for recovery_threshold argument be less than or equal to recovery_shares argument'
                raise ParamValidationError(error_msg)
            params['recovery_threshold'] = recovery_threshold

        if recovery_pgp_keys is not None:
            if len(recovery_pgp_keys) != recovery_shares:
                raise ParamValidationError('length of recovery_pgp_keys list argument must equal recovery_shares value')
            params['recovery_pgp_keys'] = recovery_pgp_keys

        api_path = '/v1/sys/init'
        response = self._adapter.put(
            url=api_path,
            json=params,
        )
        return response.json()