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"""
This is a Python interface to PKCS #11, using the ctypes module from
the Python standard library.

This is not (yet?) a complete implementation.  It's intended primarily
to simplify testing of the underlying PKCS #11 shared library.
"""

from ctypes      import *
from .exceptions import *
from .types      import *
from .constants  import *
from .attributes import *
from .prototypes import *


class PKCS11 (object):
  """
  PKCS #11 API object, encapsulating the PKCS #11 library itself.
  Sample usage:

    from py11 import *

    p11 = PKCS11()
    p11.C_Initialize()
    session = p11.C_OpenSession()
    p11.C_login(session, CK_USER, "secret")
    p11.C_FindObjectsInit(session, {CKA_CLASS: CKO_PRIVATE_KEY, CKA_KEY_TYPE: CKK_EC, CKA_ID: foo})
    keys = list(p11.C_FindObjects(session))
    p11.C_FindObjectsFinal(session)
    if len(keys) != 1:
      raise RuntimeError
    p11.C_SignInit(session, CK_ECDSA_SHA256, keys[0])
    sig = p11.Sign(session, "Your mother was a hamster")
    p11.C_CloseAllSessions(slot)
    p11.C_Finalize()

  The full raw PKCS #11 API is available via the .so attribute, but
  using this can be tricky, both because it requires strict adherence
  to the C API and because one needs to be careful not to run afoul of
  the Python garbage collector.

  The example above uses a set of interface routines built on top of the
  raw PKCS #11 API, which map the API into something a bit more Pythonic.
  """

  def __init__(self, so_name = "libpkcs11.so"):
    self.so_name = so_name
    self.so = CDLL(so_name)
    def raise_on_failure(rv):
      if rv != CKR_OK:
        raise CKR_Exception.ckr_map[rv]
    for name, args in Prototypes.iteritems():
      func = getattr(self.so, name)
      func.restype = raise_on_failure
      func.argtypes = args
    self.adb = AttributeDB()

  def __getattr__(self, name):
    return getattr(self.so, name)

  def C_GetFunctionList(self):
    return self

  @property
  def version(self):
    info = CK_INFO()
    self.so.C_GetInfo(byref(info))
    return info.cryptokiVersion

  # Be very careful if you try to provide your own locking functions.
  # For most purposes, if you really just want locking, you're best
  # off specifying CKF_OS_LOCKING_OK and letting the C code deal with
  # it.  The one case where you might want to provide your own locking
  # is when writing tests to verify behavior of the locking code.
  #
  # We have to stash references to the callback functions passed to
  # C_Initialize() to avoid dumping core when the garbage collector
  # deletes the function pointer instances out from under the C code.

  def C_Initialize(self, flags = 0, create_mutex = None, destroy_mutex = None, lock_mutex = None, unlock_mutex = None):
    if flags == 0 and create_mutex is None and destroy_mutex is None and lock_mutex is None and unlock_mutex is None:
      self._C_Initialize_args = None
      self.so.C_Initialize(None)
    else:
      create_mutex  = CK_CREATEMUTEX()  if create_mutex  is None else CK_CREATEMUTEX(create_mutex)
      destroy_mutex = CK_DESTROYMUTEX() if destroy_mutex is None else CK_DESTROYMUTEX(destroy_mutex)
      lock_mutex    = CK_LOCKMUTEX()    if lock_mutex    is None else CK_LOCKMUTEX(lock_mutex)
      unlock_mutex  = CK_UNLOCKMUTEX()  if unlock_mutex  is None else CK_UNLOCKMUTEX(unlock_mutex)
      self._C_Initialize_args = CK_C_INITIALIZE_ARGS(create_mutex, destroy_mutex, lock_mutex, unlock_mutex, flags, None)
      self.so.C_Initialize(cast(byref(self._C_Initialize_args), CK_VOID_PTR))

  def C_Finalize(self):
    self.so.C_Finalize(None)
    self._C_Initialize_args = None

  def C_GetSlotList(self):
    count = CK_ULONG()
    self.so.C_GetSlotList(CK_TRUE, None, byref(count))
    slots = (CK_SLOT_ID * count.value)()
    self.so.C_GetSlotList(CK_TRUE, slots, byref(count))
    return tuple(slots[i] for i in xrange(count.value))

  def C_GetTokenInfo(self, slot_id):
    token_info = CK_TOKEN_INFO()
    self.so.C_GetTokenInfo(slot_id, byref(token_info))
    return token_info

  def C_OpenSession(self, slot, flags = CKF_RW_SESSION, application = None, notify = CK_NOTIFY()):
    flags |= CKF_SERIAL_SESSION
    handle = CK_SESSION_HANDLE()
    self.so.C_OpenSession(slot, flags, application, notify, byref(handle))
    return handle.value

  def C_GenerateRandom(self, session, n):
    buffer = create_string_buffer(n)
    self.so.C_GenerateRandom(session, buffer, sizeof(buffer))
    return buffer.raw

  def C_Login(self, session, user, pin):
    self.so.C_Login(session, user, pin, len(pin))

  def C_GetAttributeValue(self, session_handle, object_handle, *attributes):
    if len(attributes) == 1 and isinstance(attributes[0], (list, tuple)):
      attributes = attributes[0]
    template = self.adb.getvalue_create_template(attributes)
    self.so.C_GetAttributeValue(session_handle, object_handle, template, len(template))
    self.adb.getvalue_allocate_template(template)
    self.so.C_GetAttributeValue(session_handle, object_handle, template, len(template))
    return self.adb.from_ctypes(template)

  def C_FindObjectsInit(self, session, template = None, **kwargs):
    if kwargs:
      assert not template
      template = kwargs
    if template:
      self.so.C_FindObjectsInit(session, self.adb.to_ctypes(template), len(template))
    else:
      self.so.C_FindObjectsInit(session, None, 0)

  def C_FindObjects(self, session, chunk_size = 10):
    objects = (CK_OBJECT_HANDLE * chunk_size)()
    count   = CK_ULONG(1)
    while count.value > 0:
      self.so.C_FindObjects(session, objects, len(objects), byref(count))
      for i in xrange(count.value):
        yield objects[i]

  def FindObjects(self, session, template = None, **kwargs):
    self.C_FindObjectsInit(session, template, **kwargs)
    result = tuple(self.C_FindObjects(session))
    self.C_FindObjectsFinal(session)
    return result

  def _parse_GenerateKeyPair_template(self,
                                      # Attributes common to public and private templates
                                      CKA_ID,
                                      CKA_LABEL         = None,
                                      CKA_TOKEN         = False,
                                      # Attributes only in private template
                                      CKA_SIGN          = False,
                                      CKA_DECRYPT       = False,
                                      CKA_UNWRAP        = False,
                                      CKA_SENSITIVE     = True,
                                      CKA_PRIVATE       = True,
                                      CKA_EXTRACTABLE   = False,
                                      # Finer-grained control for CKA_TOKEN
                                      public_CKA_TOKEN  = False,
                                      private_CKA_TOKEN = False,
                                      # Anything else is only in public template
                                      **kwargs):
    if CKA_LABEL is None:
      CKA_LABEL = CKA_ID
    return (dict(kwargs,
                 CKA_LABEL      = CKA_LABEL,
                 CKA_ID         = CKA_ID,
                 CKA_TOKEN      = public_CKA_TOKEN or CKA_TOKEN),
            dict(CKA_LABEL      = CKA_LABEL,
                 CKA_ID         = CKA_ID,
                 CKA_TOKEN      = private_CKA_TOKEN or CKA_TOKEN,
                 CKA_SIGN       = CKA_SIGN,
                 CKA_DECRYPT    = CKA_DECRYPT,
                 CKA_UNWRAP     = CKA_UNWRAP,
                 CKA_SENSITIVE  = CKA_SENSITIVE,
                 CKA_PRIVATE    = CKA_PRIVATE,
                 CKA_EXTRACTABLE = CKA_EXTRACTABLE))

  def C_GenerateKeyPair(self, session, mechanism_type, public_template = None, private_template = None, **kwargs):
    if kwargs:
      assert not public_template and not private_template
      public_template, private_template = self._parse_GenerateKeyPair_template(**kwargs)
    public_template  = self.adb.to_ctypes(public_template)
    private_template = self.adb.to_ctypes(private_template)
    mechanism = CK_MECHANISM(mechanism_type, None, 0)
    public_handle  = CK_OBJECT_HANDLE()
    private_handle = CK_OBJECT_HANDLE()
    self.so.C_GenerateKeyPair(session, byref(mechanism),
                              public_template,  len(public_template),
                              private_template, len(private_template),
                              byref(public_handle), byref(private_handle))
    return public_handle.value, private_handle.value

  def C_SignInit(self, session, mechanism_type, private_key):
    mechanism = CK_MECHANISM(mechanism_type, None, 0)
    self.so.C_SignInit(session, byref(mechanism), private_key)

  def C_Sign(self, session, data):
    n = CK_ULONG()
    self.so.C_Sign(session, data, len(data), None, byref(n))
    sig = create_string_buffer(n.value)
    self.so.C_Sign(session, data, len(data), sig, byref(n))
    return sig.raw

  def C_SignUpdate(self, session, data):
    self.so.C_SignUpdate(session, data, len(data))

  def C_SignFinal(self, session):
    n = CK_ULONG()
    self.so.C_SignFinal(session, None, byref(n))
    sig = create_string_buffer(n.value)
    self.so.C_SignFinal(session, sig, byref(n))
    return sig.raw

  def C_VerifyInit(self, session, mechanism_type, public_key):
    mechanism = CK_MECHANISM(mechanism_type, None, 0)
    self.so.C_VerifyInit(session, byref(mechanism), public_key)

  def C_Verify(self, session, data, signature):
    self.so.C_Verify(session, data, len(data), signature, len(signature))

  def C_VerifyUpdate(self, session, data):
    self.so.C_VerifyUpdate(session, data, len(data))

  def C_VerifyFinal(self, session, signature):
    self.so.C_VerifyFinal(session, signature, len(signature))

  def C_CreateObject(self, session, template = None, **kwargs):
    if kwargs:
      assert not template
      template = kwargs
    template = self.adb.to_ctypes(template)
    handle = CK_OBJECT_HANDLE()
    self.so.C_CreateObject(session, template, len(template), byref(handle))
    return handle.value

  def C_DigestInit(self, session, mechanism_type):
    mechanism = CK_MECHANISM(mechanism_type, None, 0)
    self.so.C_DigestInit(session, byref(mechanism))

  def C_Digest(self, session, data):
    n = CK_ULONG()
    self.so.C_Digest(session, data, len(data), None, byref(n))
    hash = create_string_buffer(n.value)
    self.so.C_Digest(session, data, len(data), hash, byref(n))
    return hash.raw

  def C_DigestUpdate(self, session, data):
    self.so.C_DigestUpdate(session, data, len(data))

  def C_DigestFinal(self, session):
    n = CK_ULONG()
    self.so.C_DigestFinal(session, None, byref(n))
    hash = create_string_buffer(n.value)
    self.so.C_DigestFinal(session, hash, byref(n))
    return hash.raw

__all__ = ["PKCS11"]
__all__.extend(name for name in globals()
               if name.startswith("CK")
               or name.startswith("CRYPTOKI_"))
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/*
 * RSA signature test data for Cryptech project, automatically generated by
 * test-rsa.py using PyCrypto version 2.6.1. Do not edit.
 *
 * Plaintext: "You can hack anything you want with TECO and DDT."
 * SHA-256: 8e36fc9aa31724c32416263c0366a175fabbb92b741ca6496107074d0343b597
 */

/* 1024-bit RSA private key (PKCS #8)
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
*/

static const uint8_t n_1024[] = { /* key component n, 128 bytes */
  0x8c, 0x12, 0x68, 0x4a, 0x42, 0x4d, 0x52, 0x6f, 0x6d, 0xde, 0x19, 0x07,
  0x53, 0xfc, 0x1f, 0xd1, 0x20, 0x16, 0x56, 0x6a, 0x6a, 0xdb, 0x3b, 0x3d,
  0xe0, 0x48, 0x3a, 0x50, 0xb6, 0x43, 0x5c, 0xe5, 0x6b, 0xbc, 0x01, 0x98,
  0xd2, 0x64, 0x5f, 0x92, 0x64, 0x7b, 0x3f, 0x2d, 0x17, 0x79, 0x76, 0xd9,
  0x29, 0xfd, 0xf5, 0xce, 0x9c, 0xe8, 0xfb, 0xa1, 0xca, 0x1c, 0xc1, 0x75,
  0x9b, 0x62, 0x7d, 0x06, 0xd9, 0x9e, 0x22, 0x82, 0x24, 0x4c, 0xf2, 0x6f,
  0x2e, 0x4c, 0x5d, 0x97, 0x92, 0xaf, 0x6d, 0x2b, 0x3d, 0xda, 0xea, 0x88,
  0x1f, 0x45, 0x5f, 0x5d, 0xe6, 0x9a, 0xd2, 0xcd, 0xee, 0x28, 0xb8, 0x9c,
  0xbc, 0x80, 0x60, 0x50, 0x10, 0xe1, 0x1f, 0x19, 0xbd, 0xd1, 0xf6, 0x75,
  0x12, 0x16, 0xb7, 0x1c, 0x21, 0x4b, 0xb7, 0x78, 0x03, 0x2a, 0xd6, 0x62,
  0x12, 0x64, 0x7a, 0x62, 0x2f, 0x48, 0x0a, 0x5f
};

static const uint8_t e_1024[] = { /* key component e, 4 bytes */
  0x00, 0x01, 0x00, 0x01
};

static const uint8_t d_1024[] = { /* key component d, 128 bytes */
  0x26, 0x2f, 0x56, 0x72, 0xf8, 0x04, 0x30, 0x36, 0xe4, 0x52, 0xa9, 0xac,
  0x0f, 0xbf, 0x29, 0xc5, 0x4e, 0xe4, 0x08, 0x06, 0xd6, 0xbe, 0x91, 0x35,
  0xdb, 0x10, 0x95, 0xa5, 0x2f, 0x2a, 0xca, 0x06, 0x59, 0x0a, 0x55, 0xbd,
  0x1d, 0x8d, 0xf3, 0x67, 0xeb, 0x30, 0x96, 0x16, 0x6a, 0xd1, 0xd8, 0x0e,
  0x77, 0x9e, 0x1e, 0x06, 0x87, 0x4c, 0x14, 0x5d, 0x14, 0xc6, 0x26, 0x0f,
  0x33, 0x9e, 0xf3, 0xca, 0x24, 0xf7, 0x29, 0xe3, 0x9c, 0xe7, 0x73, 0xb6,
  0x86, 0x40, 0x59, 0x83, 0x8a, 0xfb, 0xe5, 0xe6, 0x6f, 0xd4, 0x91, 0xba,
  0x84, 0x4f, 0xa4, 0x81, 0xe8, 0x9c, 0x82, 0x38, 0x22, 0xb3, 0x61, 0xad,
  0x51, 0xb6, 0x7d, 0xd8, 0x14, 0xc9, 0x1f, 0xff, 0x73, 0x20, 0xce, 0xb5,
  0x88, 0x84, 0x5b, 0xfe, 0x50, 0xd1, 0xff, 0x23, 0x99, 0x52, 0x8f, 0x32,
  0x5c, 0x0a, 0xb3, 0x78, 0x9a, 0x02, 0x3e, 0x01
};

static const uint8_t p_1024[] = { /* key component p, 64 bytes */
  0xb7, 0x13, 0x35, 0xad, 0x26, 0x39, 0x64, 0x57, 0x5f, 0xee, 0xa3, 0xb2,
  0xc6, 0xdf, 0xeb, 0x90, 0xb1, 0xeb, 0x09, 0x87, 0xb2, 0xba, 0xe9, 0xb5,
  0x78, 0x8f, 0xf6, 0x02, 0x9f, 0xc1, 0xd9, 0x31, 0xeb, 0xde, 0xc4, 0xcf,
  0x2b, 0xcf, 0x0c, 0xbf, 0x31, 0xc0, 0xbd, 0xb4, 0x3b, 0xec, 0x41, 0x15,
  0xe8, 0x63, 0xf3, 0xae, 0x8e, 0xfd, 0xff, 0x27, 0x38, 0xf3, 0xf8, 0xee,
  0x29, 0x8e, 0x3e, 0x81
};

static const uint8_t q_1024[] = { /* key component q, 64 bytes */
  0xc3, 0xde, 0x05, 0x3c, 0xc0, 0x3f, 0x0c, 0x79, 0x62, 0xea, 0x61, 0xc5,
  0xc8, 0x01, 0xd1, 0x11, 0x22, 0xeb, 0xa4, 0xd5, 0x59, 0xcb, 0xdf, 0xa4,
  0x0e, 0xce, 0x7f, 0x4d, 0xa0, 0xf1, 0x74, 0xd4, 0x32, 0xc9, 0x72, 0xb7,
  0x1b, 0x37, 0x6e, 0x22, 0xe7, 0xff, 0x6d, 0x73, 0x36, 0xb7, 0x29, 0xd7,
  0x9c, 0xf1, 0xf7, 0xb1, 0x25, 0x38, 0x7f, 0x3c, 0xc0, 0x6f, 0x47, 0xc6,
  0x6b, 0xc3, 0x98, 0xdf
};

static const uint8_t dP_1024[] = { /* key component dP, 64 bytes */
  0x27, 0x16, 0x0a, 0xd7, 0xb4, 0xd9, 0x7b, 0xfa, 0xcb, 0x98, 0x7f, 0x8a,
  0xa3, 0xbb, 0x1a, 0xe8, 0x01, 0x94, 0x54, 0xac, 0x8c, 0x14, 0x2b, 0xe1,
  0x7a, 0xa4, 0x01, 0xb9, 0xfd, 0xb1, 0xbd, 0x55, 0x53, 0x2e, 0x74, 0x86,
  0x66, 0xac, 0x05, 0xe4, 0xac, 0x12, 0xa2, 0x6d, 0xe0, 0x7d, 0x48, 0x48,
  0x0d, 0x1d, 0x89, 0xe1, 0x32, 0xd6, 0x37, 0xab, 0x80, 0x15, 0x56, 0x88,
  0x42, 0x87, 0x04, 0x01
};

static const uint8_t dQ_1024[] = { /* key component dQ, 64 bytes */
  0x11, 0xd4, 0x8e, 0x49, 0x7f, 0x7e, 0xbd, 0xd5, 0xf7, 0x09, 0x3b, 0x29,
  0x54, 0x11, 0xc6, 0x44, 0x77, 0x17, 0x58, 0x84, 0x0b, 0x8e, 0xa1, 0xa7,
  0x3f, 0xa9, 0xd0, 0xb0, 0xf2, 0x6b, 0xc8, 0xa4, 0xe0, 0x92, 0xb2, 0x1c,
  0xb5, 0x1f, 0x90, 0xa9, 0x20, 0xd1, 0x81, 0xd7, 0x31, 0x2d, 0xef, 0x63,
  0x2f, 0x68, 0x5f, 0x92, 0x02, 0xbf, 0x67, 0xe5, 0xd1, 0xe6, 0xcf, 0x73,
  0xe2, 0xaf, 0x85, 0xa5
};

static const uint8_t u_1024[] = { /* key component u, 64 bytes */
  0x7f, 0x65, 0xc7, 0x09, 0xe5, 0x00, 0x47, 0xb8, 0x13, 0xf4, 0xfd, 0xf9,
  0x57, 0x76, 0x68, 0x46, 0xe6, 0x50, 0xb7, 0x31, 0x33, 0x22, 0x88, 0x4e,
  0xd1, 0x96, 0xcf, 0xf7, 0x2f, 0x6b, 0x7a, 0x4b, 0x8c, 0x55, 0x0e, 0x74,
  0x3c, 0xd5, 0x16, 0x1f, 0xec, 0x26, 0xab, 0xe7, 0x75, 0x8d, 0xee, 0xa4,
  0x95, 0x49, 0x99, 0xe1, 0x0c, 0x6b, 0x27, 0x04, 0x9a, 0x60, 0x86, 0xad,
  0xa7, 0x61, 0x41, 0xf5
};

static const uint8_t m_1024[] = { /* message to be signed, 128 bytes */
  0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60,
  0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20,
  0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c,
  0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49,
  0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97
};

static const uint8_t s_1024[] = { /* signed message, 128 bytes */
  0x3b, 0x09, 0xcc, 0x3d, 0x2f, 0xa1, 0x68, 0x1c, 0xa9, 0x29, 0x1b, 0xb7,
  0xcf, 0xc9, 0xe7, 0xb4, 0xfd, 0x3e, 0x5a, 0x22, 0x1c, 0x29, 0xdf, 0x4a,
  0x32, 0xcf, 0xa5, 0xae, 0x30, 0xd4, 0xee, 0x8f, 0x3a, 0xc8, 0xc1, 0xee,
  0x79, 0x40, 0xb2, 0xbf, 0xc7, 0x12, 0x82, 0x73, 0x3c, 0x6b, 0x8a, 0xd1,
  0xa4, 0x4a, 0x6d, 0x60, 0x9f, 0x00, 0xb4, 0x51, 0x8b, 0x6c, 0xcd, 0xae,
  0xad, 0xf4, 0x0a, 0x48, 0xd5, 0xb9, 0x4b, 0x9e, 0xca, 0x77, 0x10, 0xc2,
  0x9b, 0x26, 0x8c, 0x65, 0x17, 0x96, 0xd0, 0xc7, 0x5e, 0x55, 0x20, 0x17,
  0x06, 0x74, 0x2d, 0x94, 0xe0, 0xfc, 0x09, 0xa2, 0xb1, 0x94, 0xe4, 0x83,
  0x0d, 0x8d, 0x9e, 0x26, 0x0a, 0x25, 0x93, 0xfb, 0xef, 0x4f, 0xb3, 0x0e,
  0x7a, 0x9b, 0x2f, 0x17, 0x94, 0xd8, 0xca, 0x64, 0x1e, 0xa6, 0x2e, 0xc9,
  0xf3, 0x54, 0x87, 0x34, 0xed, 0xf7, 0xa5, 0x00
};

/* 2048-bit RSA private key (PKCS #8)
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
*/

static const uint8_t n_2048[] = { /* key component n, 256 bytes */
  0xb3, 0xbe, 0x06, 0xfd, 0xd2, 0x12, 0xb1, 0x78, 0x32, 0x72, 0xcd, 0xe5,
  0xb3, 0xfc, 0x5e, 0x09, 0x19, 0x9d, 0xc0, 0x72, 0x5d, 0x62, 0xde, 0xea,
  0xe5, 0xdd, 0x53, 0xd7, 0x1f, 0x2a, 0x25, 0x77, 0x28, 0x6e, 0x34, 0x2f,
  0xbc, 0x8d, 0xfe, 0x22, 0x33, 0xb4, 0xc6, 0x05, 0x81, 0x8b, 0x1f, 0xeb,
  0x18, 0x90, 0x15, 0xd6, 0xbb, 0xd1, 0x83, 0xd1, 0xea, 0xe5, 0x28, 0x13,
  0x09, 0x31, 0x30, 0x4e, 0xf0, 0xe7, 0x57, 0xba, 0x54, 0x80, 0x26, 0x1f,
  0x2b, 0xd5, 0x9f, 0x2a, 0x34, 0xf4, 0x95, 0x36, 0x0b, 0xaf, 0x36, 0x01,
  0x90, 0x95, 0x10, 0xc6, 0x73, 0xbb, 0x59, 0x27, 0xa8, 0x16, 0x16, 0x5c,
  0xcc, 0xda, 0x0e, 0x5f, 0x94, 0x40, 0xf6, 0xe1, 0xb3, 0x7d, 0xe8, 0x8a,
  0xfd, 0x3b, 0x57, 0x19, 0x8b, 0xbc, 0x4c, 0x73, 0x43, 0x73, 0x92, 0x7f,
  0x51, 0x9a, 0xce, 0x48, 0xc0, 0xf5, 0xbc, 0x38, 0x1e, 0x08, 0x65, 0x99,
  0x5b, 0x14, 0x2e, 0x88, 0x87, 0xdb, 0xd4, 0x4a, 0x9d, 0x3a, 0x4e, 0x6d,
  0xeb, 0x43, 0xf7, 0x90, 0x26, 0x48, 0x4b, 0x15, 0xbc, 0xcc, 0x7a, 0x37,
  0x3d, 0x38, 0x7d, 0x4b, 0x4a, 0x96, 0x2d, 0x8e, 0x2e, 0x38, 0xa2, 0x19,
  0xb2, 0xfe, 0x33, 0xc9, 0xb2, 0x64, 0xa5, 0xcf, 0x02, 0xb9, 0x25, 0x27,
  0x21, 0x66, 0xa6, 0xf1, 0x97, 0xf9, 0xac, 0x57, 0x0d, 0x6d, 0xfe, 0x76,
  0x52, 0xde, 0x5a, 0x2a, 0x29, 0x43, 0x2f, 0xce, 0x7f, 0x45, 0x88, 0x04,
  0x4b, 0x89, 0xa2, 0x2b, 0x50, 0xa3, 0x42, 0x99, 0x29, 0x8b, 0xf0, 0x7a,
  0x84, 0xb7, 0x6a, 0x8a, 0xb7, 0x41, 0x12, 0x1c, 0x6d, 0x2f, 0x5f, 0x4e,
  0xe1, 0xe5, 0x6e, 0x62, 0x1c, 0x82, 0x4e, 0xb8, 0xa8, 0x6a, 0x71, 0x7d,
  0xe5, 0x8b, 0xc9, 0xc5, 0x73, 0x0b, 0x0e, 0x57, 0x70, 0x01, 0x46, 0xc0,
  0x91, 0x81, 0xea, 0x69
};

static const uint8_t e_2048[] = { /* key component e, 4 bytes */
  0x00, 0x01, 0x00, 0x01
};

static const uint8_t d_2048[] = { /* key component d, 256 bytes */
  0x34, 0x47, 0x93, 0x55, 0x04, 0x63, 0x37, 0x87, 0x54, 0x75, 0x1b, 0xfa,
  0x31, 0xed, 0xb7, 0x94, 0x42, 0x05, 0x26, 0x52, 0x9d, 0x63, 0x02, 0x9f,
  0xa4, 0x18, 0x4a, 0x28, 0x8a, 0x02, 0x02, 0x3f, 0xb4, 0x5c, 0xc9, 0x85,
  0x10, 0xfc, 0xe3, 0xec, 0x22, 0xc9, 0xf3, 0xc6, 0xea, 0x35, 0x03, 0x25,
  0xa8, 0x51, 0x50, 0x68, 0xd2, 0xdc, 0x4f, 0xd1, 0x20, 0xd7, 0x62, 0x5e,
  0x97, 0x0f, 0xdd, 0x93, 0x38, 0x72, 0xb1, 0x8b, 0x9a, 0xc4, 0x63, 0x52,
  0x31, 0xb7, 0xc2, 0xc1, 0xce, 0x01, 0x4d, 0xdd, 0x18, 0x6c, 0xef, 0xf2,
  0x68, 0x91, 0x52, 0xfd, 0xc5, 0xef, 0xba, 0x30, 0xd4, 0xad, 0x07, 0xf8,
  0x1a, 0x05, 0x5a, 0xa4, 0xe6, 0x44, 0x37, 0x0a, 0xd2, 0xe0, 0x4e, 0x61,
  0x0e, 0xe2, 0xd1, 0xa4, 0xb6, 0x86, 0x20, 0x5e, 0x6e, 0x42, 0x11, 0x5c,
  0x42, 0xea, 0x1a, 0x12, 0x03, 0x3d, 0xf6, 0x6e, 0x87, 0x4f, 0x33, 0x88,
  0x86, 0xdb, 0xb7, 0x0e, 0x37, 0x5b, 0x7d, 0x2b, 0x26, 0x90, 0x65, 0x50,
  0xef, 0x15, 0x15, 0x15, 0xcb, 0xda, 0x0a, 0xb3, 0x15, 0xa2, 0xad, 0x3a,
  0x76, 0xf5, 0x07, 0xe0, 0x7a, 0x58, 0x4c, 0xa7, 0x9e, 0xaa, 0x07, 0x15,
  0xbf, 0xef, 0x97, 0x8c, 0x87, 0xbc, 0xdc, 0xdc, 0xef, 0xfa, 0x83, 0x79,
  0x53, 0x6a, 0x05, 0x3b, 0x3a, 0xd8, 0xa4, 0x61, 0x87, 0x37, 0xa8, 0xeb,
  0x7a, 0x49, 0xa6, 0x6c, 0x46, 0xb1, 0xcb, 0xc5, 0x07, 0x3b, 0x24, 0x82,
  0xe9, 0x8f, 0x94, 0xc9, 0x1a, 0xcf, 0x13, 0x2f, 0x6a, 0xd5, 0x98, 0x24,
  0x90, 0x2f, 0x55, 0x0a, 0xb3, 0x3b, 0x13, 0x6f, 0x3f, 0xe0, 0xf1, 0x13,
  0xc3, 0xc3, 0x08, 0xee, 0xe3, 0x68, 0xa2, 0xcb, 0x85, 0x5e, 0x87, 0xdc,
  0xb4, 0xa8, 0xed, 0x46, 0xf0, 0xb9, 0x4a, 0x7f, 0x73, 0x5b, 0x77, 0x72,
  0xbf, 0xd3, 0x64, 0x01
};

static const uint8_t p_2048[] = { /* key component p, 128 bytes */
  0xd2, 0x91, 0xd0, 0xf2, 0xe3, 0xec, 0x4d, 0xda, 0x40, 0x3b, 0x81, 0xda,
  0xf2, 0xe1, 0xe2, 0xca, 0x53, 0x32, 0x91, 0x35, 0x26, 0xe7, 0xa0, 0xfa,
  0xc2, 0xbb, 0x64, 0xc4, 0x35, 0x44, 0x7c, 0xa1, 0x38, 0xdb, 0x27, 0x9d,
  0x8b, 0x40, 0x46, 0xc6, 0x6b, 0xd1, 0xc8, 0x29, 0xa3, 0x37, 0xdf, 0xbd,
  0x35, 0x84, 0x9b, 0x1c, 0xdf, 0x80, 0xba, 0x69, 0xd2, 0x60, 0xa1, 0x8f,
  0x5c, 0x3e, 0x80, 0x5c, 0x26, 0x0c, 0x4e, 0x23, 0xb3, 0x78, 0xd0, 0x0f,
  0xeb, 0x23, 0x77, 0x3c, 0x92, 0xb2, 0x92, 0xe5, 0x7f, 0xd5, 0x88, 0x16,
  0x37, 0x4f, 0x32, 0x6c, 0x3f, 0x72, 0xda, 0x04, 0xa0, 0xdd, 0x7e, 0x2a,
  0x1a, 0x4c, 0x35, 0x53, 0x8e, 0x16, 0x03, 0xea, 0xfd, 0x9e, 0xbb, 0xb2,
  0xed, 0xe1, 0xe2, 0x2a, 0x6b, 0xcb, 0x15, 0x03, 0x83, 0xe1, 0x2d, 0x25,
  0x46, 0x45, 0x6e, 0x77, 0x65, 0x26, 0x23, 0xc1
};

static const uint8_t q_2048[] = { /* key component q, 128 bytes */
  0xda, 0x85, 0x8e, 0x9c, 0x47, 0xc5, 0xa0, 0x3e, 0xc7, 0x90, 0x25, 0x39,
  0x02, 0x6c, 0xac, 0x9f, 0x28, 0x24, 0xae, 0xcf, 0xa9, 0xe2, 0xa1, 0x9a,
  0x42, 0xb2, 0xd9, 0x29, 0x2a, 0x12, 0x5e, 0xa7, 0x31, 0x3a, 0x00, 0xa6,
  0x53, 0x2c, 0xb5, 0xaf, 0x34, 0x83, 0xcd, 0x4f, 0xf9, 0x21, 0x97, 0x8d,
  0x1a, 0x6f, 0x2e, 0x6c, 0x78, 0xb3, 0x64, 0x63, 0x74, 0xdb, 0xf5, 0xc6,
  0x01, 0x5f, 0x68, 0x92, 0x84, 0x6b, 0xf8, 0x72, 0x0b, 0x8f, 0x32, 0x20,
  0x25, 0x85, 0xbe, 0xd4, 0x96, 0x3c, 0xf5, 0xf6, 0x2e, 0x98, 0x69, 0x7e,
  0xf8, 0x82, 0x44, 0xe3, 0xb1, 0x8a, 0x6f, 0xe3, 0x87, 0x5d, 0x2d, 0x26,
  0x69, 0xfb, 0xf1, 0x53, 0x3a, 0x5d, 0x02, 0xd0, 0x8f, 0x16, 0xa1, 0xc4,
  0x29, 0x6f, 0xc0, 0x76, 0x77, 0x80, 0x60, 0xbd, 0xfc, 0x60, 0x1e, 0xb1,
  0xdb, 0x28, 0x21, 0xe7, 0xca, 0x28, 0x50, 0xa9
};

static const uint8_t dP_2048[] = { /* key component dP, 128 bytes */
  0xbb, 0x3c, 0xa3, 0xe2, 0xc6, 0xde, 0xe1, 0x9f, 0x37, 0x4c, 0x72, 0xbc,
  0x61, 0x0a, 0x90, 0xe2, 0x3d, 0xb6, 0x92, 0x3e, 0x04, 0x19, 0x25, 0x20,
  0xb5, 0x35, 0x72, 0x75, 0xb1, 0xb3, 0xf3, 0x6a, 0x5c, 0xa7, 0x2b, 0x03,
  0xc0, 0xc5, 0xe7, 0xe9, 0x1a, 0x08, 0x91, 0x06, 0xcd, 0x36, 0xaa, 0xc1,
  0x91, 0x2c, 0x17, 0xcd, 0x45, 0xc4, 0x2e, 0x7e, 0x58, 0x6e, 0x4a, 0x5a,
  0xb2, 0xb8, 0x74, 0xe4, 0xfb, 0x84, 0x27, 0x9b, 0x41, 0x44, 0x25, 0x26,
  0x72, 0x7c, 0xb7, 0xd2, 0xe9, 0xd2, 0xd6, 0x22, 0x32, 0x58, 0x8a, 0x48,
  0xce, 0xe7, 0xa2, 0x3b, 0x74, 0xf3, 0xc8, 0x7f, 0x23, 0x17, 0xb0, 0xce,
  0xf9, 0x51, 0x58, 0x7d, 0xb2, 0xb3, 0x4a, 0xca, 0x92, 0xb8, 0xa9, 0xc8,
  0x82, 0x14, 0x40, 0x4a, 0x5e, 0x4d, 0x57, 0xa3, 0x27, 0x8a, 0x7b, 0xdd,
  0x50, 0x2d, 0xfe, 0xfb, 0x35, 0xbb, 0x03, 0x41
};

static const uint8_t dQ_2048[] = { /* key component dQ, 128 bytes */
  0x39, 0xd8, 0x08, 0xbc, 0x0d, 0xb3, 0x9e, 0x8b, 0x7f, 0xc0, 0x04, 0x5a,
  0x66, 0xed, 0xe5, 0x73, 0xeb, 0xe8, 0x69, 0xed, 0xc6, 0x86, 0x9b, 0x48,
  0x7e, 0x47, 0x61, 0x7c, 0xa8, 0x0a, 0x5c, 0xcb, 0xdd, 0x18, 0x01, 0x7c,
  0x05, 0xa0, 0x5c, 0x27, 0x98, 0xbb, 0x1a, 0xea, 0x04, 0x84, 0x83, 0xdd,
  0x72, 0x15, 0xe4, 0x30, 0x0a, 0x73, 0x52, 0x2b, 0x91, 0x8f, 0x78, 0x2b,
  0x85, 0xc9, 0x7f, 0xa0, 0xe9, 0x34, 0xbb, 0x7b, 0x54, 0xdb, 0xfe, 0xe4,
  0xcb, 0x89, 0xef, 0xcd, 0xce, 0x47, 0x2c, 0xc4, 0x91, 0xe8, 0xfe, 0x64,
  0x01, 0xdc, 0x59, 0xe7, 0xfb, 0xe3, 0x2d, 0x63, 0x09, 0x3d, 0xfc, 0xe9,
  0xa2, 0x3c, 0x72, 0xd1, 0x19, 0x2d, 0xed, 0xc4, 0xcf, 0x5b, 0xaa, 0x4e,
  0x86, 0xb9, 0x72, 0x34, 0xe9, 0xc5, 0x2d, 0xd6, 0x9c, 0xab, 0xc4, 0xf4,
  0x47, 0x93, 0x04, 0x06, 0x9b, 0x58, 0xb8, 0xa1
};

static const uint8_t u_2048[] = { /* key component u, 128 bytes */
  0xa7, 0xed, 0xf8, 0xf1, 0xbe, 0x8f, 0xe4, 0x21, 0x65, 0xe1, 0xd2, 0x1b,
  0x14, 0x73, 0x99, 0x8e, 0x80, 0x40, 0x71, 0xf8, 0xcf, 0xb2, 0x14, 0xf7,
  0x87, 0xe6, 0x5e, 0x24, 0xf6, 0x91, 0x3b, 0x06, 0xf3, 0xfb, 0x2f, 0x84,
  0xf3, 0x5f, 0xb2, 0x65, 0x6d, 0xed, 0x40, 0x92, 0x25, 0xb0, 0x9a, 0x62,
  0xca, 0xdc, 0xb9, 0x1d, 0x8d, 0xa2, 0x75, 0x55, 0xf3, 0x09, 0xff, 0x53,
  0xbf, 0x77, 0x2d, 0xc9, 0xcb, 0x01, 0x5f, 0x96, 0x39, 0xb7, 0x9d, 0xb8,
  0xc4, 0xc1, 0x09, 0xab, 0x09, 0xc3, 0xc2, 0x27, 0x88, 0x5c, 0x05, 0x86,
  0x17, 0xe4, 0xc4, 0xeb, 0x66, 0x95, 0xeb, 0xc4, 0xc4, 0x4d, 0x48, 0xdc,
  0x43, 0x70, 0x91, 0x19, 0x49, 0xec, 0xd7, 0x51, 0x3a, 0x4c, 0xb8, 0xa6,
  0x77, 0x79, 0x2c, 0x69, 0x8d, 0xd8, 0x43, 0x8e, 0x94, 0x58, 0xa3, 0x10,
  0x6c, 0x41, 0x7f, 0x0f, 0x96, 0x6f, 0x5a, 0xd0
};

static const uint8_t m_2048[] = { /* message to be signed, 256 bytes */
  0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65,
  0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20, 0x8e, 0x36, 0xfc, 0x9a,
  0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c, 0x03, 0x66, 0xa1, 0x75,
  0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49, 0x61, 0x07, 0x07, 0x4d,
  0x03, 0x43, 0xb5, 0x97
};

static const uint8_t s_2048[] = { /* signed message, 256 bytes */
  0x4a, 0xf7, 0x47, 0xbb, 0xf2, 0x11, 0xd4, 0x4a, 0x03, 0xe5, 0xce, 0xbb,
  0x07, 0xae, 0xc9, 0x74, 0xf9, 0xc5, 0x05, 0xa2, 0xbc, 0xe8, 0x8f, 0x38,
  0x8c, 0xde, 0x7e, 0xdf, 0x29, 0xab, 0xd6, 0x0c, 0x9a, 0x3f, 0xdf, 0x4d,
  0xd1, 0xe4, 0x19, 0x51, 0x46, 0x94, 0xb6, 0x3b, 0xc3, 0xf1, 0x45, 0xba,
  0x30, 0x34, 0x18, 0x03, 0xf6, 0x86, 0xaf, 0x45, 0xe3, 0x1d, 0x33, 0x4e,
  0x08, 0x09, 0x95, 0xf5, 0x52, 0xad, 0xbe, 0x56, 0xb9, 0xb4, 0x5a, 0xed,
  0xd5, 0xd1, 0xff, 0x52, 0x59, 0x75, 0x7b, 0x95, 0xfa, 0x8f, 0x29, 0x87,
  0x48, 0x50, 0x37, 0xf6, 0x62, 0x7d, 0x4b, 0x4c, 0xdc, 0xe4, 0xee, 0xc2,
  0xaa, 0x93, 0x2f, 0x94, 0x97, 0x8a, 0xfe, 0xa8, 0x12, 0x31, 0x09, 0x4f,
  0x8a, 0xe7, 0x49, 0x69, 0xc8, 0xa0, 0xf0, 0xb6, 0xb8, 0x64, 0x53, 0x5b,
  0xce, 0xe2, 0xc7, 0xac, 0xa1, 0x20, 0x24, 0x90, 0xd3, 0xcd, 0xee, 0x08,
  0xfb, 0xa0, 0xa0, 0xf7, 0x5f, 0xaa, 0x3b, 0x4f, 0xa2, 0x3b, 0xb6, 0xe9,
  0x20, 0x79, 0xca, 0x8f, 0xb3, 0x68, 0x07, 0x4b, 0x79, 0x42, 0x60, 0xf3,
  0x18, 0xd1, 0x6f, 0xff, 0xdd, 0xe2, 0x96, 0x44, 0xea, 0x5c, 0x36, 0x43,
  0x07, 0xdc, 0xaa, 0xae, 0xba, 0x6b, 0xe9, 0x10, 0x0e, 0xf2, 0x12, 0xf3,
  0xb4, 0x6c, 0xeb, 0x8a, 0x1e, 0xf7, 0xfd, 0x23, 0x2c, 0x56, 0x30, 0xf4,
  0x29, 0xf3, 0x75, 0x7b, 0xd8, 0xfb, 0x80, 0xb9, 0x26, 0x01, 0x69, 0xa5,
  0x92, 0x7c, 0x56, 0x56, 0x2d, 0x0d, 0x91, 0x54, 0x81, 0x76, 0x21, 0xe5,
  0x70, 0x1f, 0x1e, 0x8f, 0xc3, 0xc8, 0x9f, 0x2a, 0xa5, 0xfa, 0x96, 0xf2,
  0x62, 0x99, 0xb8, 0x6e, 0xf0, 0x5f, 0x83, 0x15, 0x8f, 0x33, 0xe4, 0xe7,
  0xaf, 0xe2, 0xac, 0x23, 0x2e, 0x38, 0x5f, 0x45, 0x41, 0x9b, 0xe9, 0xb4,
  0x79, 0xd0, 0xf8, 0xcf
};

/* 4096-bit RSA private key (PKCS #8)
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
*/

static const uint8_t n_4096[] = { /* key component n, 512 bytes */
  0xae, 0x5b, 0xe8, 0x48, 0xde, 0xf7, 0xd6, 0x06, 0x59, 0xbf, 0x0a, 0x2c,
  0x06, 0x95, 0x02, 0xcb, 0x1b, 0xfe, 0x96, 0x08, 0x00, 0x79, 0x78, 0xd5,
  0x9f, 0x81, 0x6a, 0x63, 0xc4, 0x14, 0xca, 0x70, 0x61, 0xbe, 0x9c, 0xa9,
  0xe2, 0x01, 0x8a, 0xcb, 0xb6, 0xc9, 0x06, 0xe1, 0xfb, 0xb4, 0xcc, 0x99,
  0x79, 0xcd, 0xfd, 0x47, 0xbc, 0x68, 0x49, 0x5d, 0x6e, 0xb9, 0xea, 0x27,
  0x77, 0x95, 0xc1, 0x38, 0x74, 0x29, 0xad, 0x20, 0x37, 0x22, 0x79, 0xb2,
  0xde, 0xc6, 0xf9, 0x15, 0x70, 0x71, 0xa3, 0xfb, 0x77, 0x6c, 0x87, 0x48,
  0xbf, 0x45, 0x9d, 0xa1, 0x7c, 0xd2, 0x50, 0x25, 0xaf, 0x41, 0xa7, 0x36,
  0x77, 0x0e, 0xdb, 0x2e, 0x0c, 0xae, 0x1f, 0xe5, 0x39, 0x23, 0xd4, 0x1e,
  0x43, 0x49, 0xc0, 0xc4, 0x55, 0xf2, 0x27, 0x48, 0x70, 0xc0, 0x53, 0x6a,
  0xc3, 0xc6, 0xe0, 0xd7, 0x04, 0xc9, 0xd5, 0x5d, 0xdd, 0x3c, 0x08, 0x34,
  0xcb, 0x52, 0x23, 0x54, 0xfc, 0x11, 0x50, 0xcf, 0x45, 0xc4, 0x64, 0x96,
  0x74, 0x63, 0x80, 0x5e, 0x0a, 0x64, 0xe6, 0xd1, 0xc1, 0x84, 0x57, 0x72,
  0xe1, 0x6a, 0x13, 0x60, 0x16, 0x1f, 0xb5, 0x2e, 0x98, 0xb8, 0x70, 0x1c,
  0x12, 0xb7, 0xe1, 0x28, 0x15, 0x85, 0xa2, 0xb0, 0xfa, 0xfd, 0x29, 0x78,
  0xc0, 0x6c, 0x75, 0x42, 0x01, 0x85, 0x07, 0x7e, 0xf5, 0xef, 0x13, 0x5c,
  0x17, 0xaa, 0x5d, 0x18, 0x7b, 0x13, 0x53, 0x44, 0x71, 0x1f, 0x11, 0x01,
  0xb6, 0xe0, 0x47, 0x84, 0x76, 0x3d, 0x97, 0x47, 0xbd, 0x8c, 0xb3, 0x7e,
  0xb1, 0xac, 0x78, 0x72, 0x90, 0x8b, 0x12, 0xc6, 0xe3, 0x23, 0xa1, 0xdb,
  0x09, 0x96, 0xa1, 0xbf, 0x24, 0xef, 0xd2, 0x01, 0xd7, 0x8b, 0x32, 0x3e,
  0x23, 0xeb, 0xc4, 0x83, 0xdb, 0xc1, 0x75, 0x7c, 0x89, 0xd6, 0xd9, 0x2c,
  0xe2, 0xd6, 0xd7, 0x97, 0x18, 0x36, 0x01, 0x68, 0xcc, 0x93, 0xd0, 0x6c,
  0x39, 0x91, 0x0e, 0x13, 0x16, 0x5a, 0xbc, 0x5c, 0x40, 0xf9, 0x84, 0x1e,
  0x48, 0xf2, 0x93, 0x82, 0xb7, 0x0b, 0xa8, 0x42, 0x5c, 0x3b, 0xbd, 0x58,
  0xe9, 0xd6, 0xdf, 0x74, 0x58, 0xbf, 0xdb, 0x6c, 0x0e, 0xd8, 0x73, 0x0b,
  0xfd, 0x23, 0x85, 0x77, 0xac, 0xe0, 0xa4, 0x3a, 0x49, 0x02, 0x25, 0xef,
  0xe6, 0x54, 0x1f, 0x59, 0xd1, 0x79, 0x98, 0xec, 0x29, 0xc3, 0x61, 0x45,
  0xe6, 0xdb, 0x5d, 0x7e, 0xa0, 0x87, 0x09, 0xcb, 0x34, 0xe7, 0x93, 0x48,
  0x8b, 0x57, 0x57, 0x11, 0x89, 0x30, 0x0c, 0x10, 0x4c, 0x4a, 0x4b, 0xbc,
  0x06, 0x27, 0x56, 0x40, 0x87, 0x80, 0x8c, 0x4e, 0x99, 0x36, 0x14, 0x1c,
  0x74, 0xb4, 0x66, 0xfd, 0xe3, 0xc0, 0x67, 0xcb, 0xe8, 0x31, 0x8c, 0x62,
  0xec, 0x62, 0x03, 0x58, 0x51, 0xba, 0x7d, 0x1a, 0x43, 0x83, 0xf2, 0xd6,
  0x31, 0xa3, 0xbe, 0xe4, 0xe1, 0x68, 0xe3, 0xed, 0x88, 0x14, 0x4c, 0x0d,
  0x80, 0xe3, 0x5c, 0xf1, 0x03, 0x42, 0xc7, 0xfd, 0xaa, 0x5f, 0x1d, 0x1a,
  0x3c, 0x6d, 0x29, 0xc8, 0x90, 0xb6, 0x30, 0xd8, 0xdc, 0xb3, 0x67, 0xe3,
  0x8e, 0x19, 0xae, 0xed, 0x5b, 0x7a, 0x19, 0xdb, 0xbc, 0x8c, 0x95, 0x69,
  0xd0, 0x18, 0x41, 0x2b, 0x1f, 0xa1, 0x1c, 0x28, 0xdb, 0xc1, 0xd9, 0xde,
  0x20, 0x52, 0xc9, 0x56, 0x12, 0x33, 0xa7, 0xf5, 0x7c, 0xea, 0x16, 0x75,
  0xd1, 0x0f, 0x64, 0x54, 0x3d, 0xf0, 0xcf, 0x7a, 0xc3, 0x09, 0xe1, 0x79,
  0x65, 0x97, 0x6a, 0xfb, 0xc3, 0x88, 0x4c, 0x07, 0xdf, 0xd5, 0x36, 0x43,
  0xed, 0x79, 0xb1, 0x3e, 0xae, 0x1e, 0x4d, 0x07, 0xe7, 0x16, 0x92, 0xfc,
  0x2b, 0x65, 0x6a, 0xa5, 0xc1, 0x73, 0x02, 0x1b, 0xfe, 0xa8, 0xdd, 0xae,
  0x43, 0x75, 0xe9, 0xff, 0x6f, 0x9d, 0xfc, 0xed
};

static const uint8_t e_4096[] = { /* key component e, 4 bytes */
  0x00, 0x01, 0x00, 0x01
};

static const uint8_t d_4096[] = { /* key component d, 512 bytes */
  0x09, 0x4f, 0xc7, 0x3b, 0xfd, 0x0c, 0x67, 0x55, 0xb7, 0x7d, 0x48, 0x61,
  0xc9, 0x88, 0x33, 0xb9, 0xfd, 0x28, 0xbf, 0x82, 0x75, 0xe4, 0x06, 0xdc,
  0x01, 0xc4, 0xbb, 0x95, 0xd0, 0x66, 0xfb, 0xd8, 0xbc, 0x9f, 0x9d, 0x66,
  0x45, 0x37, 0xa7, 0xdd, 0xf1, 0x49, 0x13, 0x21, 0x06, 0x7c, 0x45, 0x60,
  0xfc, 0xec, 0x4f, 0x56, 0x81, 0x6d, 0x60, 0x5d, 0xa9, 0x08, 0x2c, 0xc5,
  0x26, 0xd1, 0xcc, 0x9b, 0xe3, 0x38, 0x46, 0x92, 0xad, 0xdf, 0x1d, 0x78,
  0xbc, 0x05, 0x0c, 0x50, 0x64, 0xcc, 0xec, 0xe1, 0x05, 0x23, 0xba, 0xa5,
  0xdb, 0xf1, 0x2f, 0xd5, 0xec, 0x00, 0x9f, 0x5f, 0x23, 0xd8, 0xf1, 0xc1,
  0x2a, 0xe2, 0x94, 0x3a, 0x05, 0x5b, 0x57, 0x40, 0xba, 0xa8, 0x7b, 0x2f,
  0x92, 0x90, 0x61, 0xc7, 0x1a, 0x7f, 0xf0, 0x31, 0x22, 0x34, 0x63, 0x40,
  0x14, 0x6c, 0x8e, 0x9d, 0x6d, 0x18, 0x0a, 0x59, 0x14, 0xf3, 0x9b, 0xcc,
  0x95, 0xff, 0x30, 0xfb, 0xdc, 0xea, 0x5f, 0xd2, 0x71, 0xfb, 0x67, 0x13,
  0xd1, 0xeb, 0x6e, 0x73, 0x97, 0x42, 0x84, 0x41, 0x37, 0x80, 0x85, 0xdb,
  0x10, 0xc6, 0xc5, 0x7a, 0x20, 0x34, 0x59, 0x4c, 0xbf, 0xc3, 0x39, 0xd9,
  0x85, 0xf6, 0x64, 0x03, 0xec, 0x02, 0x53, 0x09, 0xf8, 0x9d, 0x84, 0x95,
  0x7a, 0x51, 0x50, 0x81, 0xd1, 0xea, 0xf4, 0xd7, 0x86, 0xf2, 0xd9, 0xa9,
  0xd5, 0x69, 0xb7, 0xc7, 0x12, 0xeb, 0x99, 0x4a, 0xd2, 0x6f, 0xc2, 0x4c,
  0xc1, 0x23, 0x81, 0x2e, 0x45, 0xd2, 0x4c, 0x3d, 0xfc, 0x95, 0x83, 0x10,
  0x85, 0x14, 0x9c, 0xea, 0x21, 0x66, 0x0b, 0xfe, 0xab, 0x2a, 0xbf, 0xfe,
  0x1e, 0xa8, 0xf8, 0xc2, 0x68, 0x8a, 0x96, 0x40, 0x9a, 0xee, 0x48, 0x24,
  0xa1, 0x6e, 0x79, 0xf4, 0x40, 0xcc, 0x38, 0x26, 0x0a, 0x86, 0x7a, 0xda,
  0xb6, 0xd2, 0x9a, 0x78, 0xd4, 0x9b, 0x73, 0x76, 0x0d, 0xc7, 0x87, 0x68,
  0x00, 0x30, 0xef, 0xc6, 0x5f, 0xf5, 0x17, 0x53, 0xd3, 0x0d, 0x3c, 0x7e,
  0x9f, 0xe1, 0x5d, 0x53, 0xb7, 0xf4, 0x73, 0x27, 0x30, 0x4e, 0x6c, 0x15,
  0x01, 0xa7, 0x94, 0x9b, 0x1b, 0x36, 0xfe, 0xf8, 0xa9, 0xf0, 0x48, 0x1f,
  0xaf, 0xbc, 0x7c, 0x35, 0x3b, 0xea, 0xb5, 0x96, 0x0a, 0xae, 0xbb, 0x13,
  0x48, 0x10, 0x90, 0x09, 0xee, 0x61, 0x77, 0x33, 0x15, 0x23, 0x8f, 0xc1,
  0x92, 0x67, 0xf0, 0x4e, 0x0d, 0x71, 0xee, 0xbb, 0x51, 0xec, 0x90, 0xab,
  0xa0, 0x90, 0x12, 0xe0, 0xb5, 0x5d, 0x3a, 0xd6, 0xdf, 0x86, 0x41, 0x50,
  0x7c, 0xb9, 0xa6, 0xe6, 0xbd, 0x52, 0xe1, 0x72, 0x98, 0x66, 0x12, 0x35,
  0x10, 0x4e, 0x50, 0x2d, 0xe4, 0xba, 0xb4, 0xd8, 0x66, 0x68, 0x69, 0x70,
  0x0b, 0x3d, 0x8f, 0xcb, 0x55, 0x61, 0x26, 0xfa, 0xda, 0xf3, 0x43, 0x65,
  0xbb, 0xe4, 0x61, 0x74, 0x72, 0x3e, 0x3a, 0x6f, 0x45, 0x38, 0x69, 0xb6,
  0xd0, 0xa8, 0x6b, 0xa0, 0xec, 0xdd, 0xf8, 0x8c, 0x7e, 0xc3, 0x7f, 0x01,
  0xba, 0x50, 0xaa, 0x24, 0x83, 0xc5, 0x1d, 0x8c, 0x5f, 0x4a, 0x24, 0x84,
  0x79, 0x6b, 0x6a, 0xbd, 0xae, 0x71, 0xb3, 0x4c, 0x26, 0x8c, 0x47, 0x7f,
  0x98, 0x94, 0xa3, 0x43, 0xe3, 0xf4, 0xb2, 0x11, 0xb6, 0x6c, 0x88, 0x2b,
  0xf8, 0x61, 0xd6, 0xe0, 0x08, 0x78, 0xe9, 0x2c, 0xf0, 0xce, 0xb7, 0xc0,
  0x09, 0xa2, 0xba, 0xe1, 0xde, 0x0e, 0x45, 0xc0, 0x32, 0x3b, 0x93, 0xde,
  0x3e, 0x7d, 0x69, 0x2d, 0x63, 0x45, 0x2b, 0x89, 0x2d, 0x99, 0xb1, 0x82,
  0x7a, 0xad, 0xb4, 0xd6, 0xde, 0x60, 0xfa, 0xab, 0xef, 0x87, 0xa9, 0x32,
  0xc1, 0x63, 0x7b, 0xb8, 0x32, 0xd0, 0x05, 0xe1, 0xe5, 0x04, 0xb7, 0x06,
  0x29, 0xf1, 0x1f, 0xbb, 0x38, 0x28, 0xe3, 0x51
};

static const uint8_t p_4096[] = { /* key component p, 256 bytes */
  0xc0, 0x3d, 0xe4, 0x29, 0xfa, 0x44, 0xac, 0x61, 0x54, 0x74, 0x4a, 0xe8,
  0x9a, 0x48, 0x29, 0xfe, 0x3b, 0xef, 0x72, 0xb4, 0xf5, 0x1e, 0xbd, 0x58,
  0xed, 0xfd, 0x67, 0x25, 0x9f, 0x1f, 0x57, 0x35, 0x37, 0x9a, 0xa2, 0x3d,
  0xab, 0x07, 0x09, 0x6a, 0xb9, 0xae, 0x74, 0xc7, 0x50, 0x4f, 0x55, 0x77,
  0xce, 0x21, 0x7a, 0xd0, 0x2f, 0x60, 0x15, 0xd3, 0x16, 0x3e, 0xed, 0xa2,
  0xe6, 0x85, 0x50, 0x50, 0x27, 0xe1, 0x5f, 0x03, 0x98, 0x4c, 0x16, 0x8d,
  0x2c, 0xea, 0x1f, 0x85, 0x11, 0xe2, 0x5d, 0x8c, 0x14, 0xb5, 0xc1, 0xdd,
  0xee, 0x1f, 0x8d, 0x0e, 0x50, 0xa6, 0xec, 0x21, 0xea, 0x67, 0x77, 0xbc,
  0xf1, 0x8d, 0xb5, 0xe0, 0x27, 0x39, 0x82, 0x86, 0x66, 0xa2, 0x55, 0x15,
  0x31, 0xc2, 0xa8, 0xb5, 0x9a, 0xa5, 0xa1, 0x30, 0x68, 0x2b, 0xbe, 0xde,
  0x36, 0xcf, 0x03, 0x19, 0x50, 0x09, 0x17, 0x5d, 0xbb, 0x32, 0x93, 0x52,
  0x77, 0x8f, 0xe9, 0xa5, 0xc2, 0xcc, 0x8b, 0x37, 0xcf, 0x3b, 0x7c, 0x78,
  0xd6, 0xf2, 0xd6, 0x4f, 0x36, 0xbd, 0x9f, 0xd2, 0xe5, 0x6c, 0xf1, 0xcb,
  0x66, 0xbd, 0x21, 0x08, 0x94, 0x39, 0x8c, 0xb1, 0xa2, 0x2d, 0xbb, 0x70,
  0xc1, 0x37, 0xf2, 0x73, 0xe9, 0xe3, 0x8b, 0xe9, 0x80, 0x4e, 0xd5, 0x81,
  0xa2, 0x8a, 0x74, 0x07, 0x66, 0x4d, 0x1a, 0x11, 0xb3, 0x9d, 0xd2, 0xe2,
  0x76, 0xef, 0x8c, 0x26, 0x43, 0x6e, 0x29, 0x02, 0x6a, 0xe1, 0x1f, 0x66,
  0xed, 0xbe, 0xe4, 0x34, 0xe7, 0xf7, 0x7e, 0x69, 0x2b, 0x2c, 0x25, 0x00,
  0x73, 0xa1, 0x2a, 0x99, 0xdc, 0x8f, 0x35, 0x9d, 0x29, 0x59, 0x02, 0x30,
  0xa2, 0x82, 0x2e, 0xac, 0xca, 0x3f, 0x19, 0xf4, 0xef, 0x74, 0x77, 0x6c,
  0xdd, 0x2d, 0x0c, 0x78, 0x23, 0xac, 0x38, 0xe9, 0x1a, 0xda, 0xb7, 0xf6,
  0x37, 0x99, 0x68, 0xab
};

static const uint8_t q_4096[] = { /* key component q, 256 bytes */
  0xe8, 0x2f, 0xb2, 0xa3, 0xaa, 0xfd, 0x22, 0x52, 0x4f, 0xd5, 0x15, 0xb8,
  0xb1, 0xa6, 0xf5, 0x30, 0x7f, 0x41, 0xb0, 0x94, 0x99, 0xc0, 0xbb, 0x2a,
  0xdc, 0xa5, 0x49, 0x54, 0xa8, 0xce, 0x41, 0x06, 0x4f, 0xe3, 0x6c, 0xb4,
  0xca, 0x3d, 0x7c, 0xe4, 0x4d, 0x32, 0x08, 0xcd, 0x9b, 0xd8, 0xdf, 0x6a,
  0xa6, 0x48, 0xda, 0x5d, 0x7f, 0xf9, 0xff, 0x94, 0xd4, 0x7b, 0x96, 0x2d,
  0x3b, 0x74, 0x9b, 0x5d, 0xf5, 0x1b, 0xdf, 0x5c, 0x30, 0x05, 0x91, 0xfd,
  0x06, 0xc7, 0x08, 0x51, 0x34, 0xe0, 0x27, 0xf8, 0xa4, 0x96, 0x36, 0xa4,
  0xd0, 0x2b, 0xb0, 0xbc, 0xc3, 0x61, 0xc6, 0xad, 0xda, 0xa4, 0x65, 0x11,
  0x77, 0x67, 0x14, 0x0e, 0x58, 0xc6, 0xd6, 0x67, 0x5a, 0x2f, 0x4a, 0xa7,
  0x17, 0xc3, 0x1d, 0xf2, 0x14, 0x24, 0xa6, 0xfe, 0xae, 0x84, 0x74, 0x64,
  0xa9, 0x5d, 0xd8, 0x80, 0xf4, 0xc9, 0xae, 0x0c, 0x8e, 0x47, 0x3b, 0xe5,
  0x3b, 0xb7, 0xde, 0x15, 0x79, 0x3c, 0x20, 0xda, 0xc9, 0x68, 0xf3, 0xf9,
  0x29, 0x2c, 0xbb, 0x60, 0x17, 0xc3, 0x97, 0x3a, 0x5e, 0xb9, 0xac, 0xee,
  0x65, 0x3e, 0xe3, 0xd1, 0xaf, 0x46, 0xf6, 0x81, 0x5b, 0xfc, 0x07, 0xe2,
  0xea, 0x77, 0xdc, 0x14, 0x4e, 0x18, 0x10, 0x88, 0x34, 0x8f, 0x80, 0xb0,
  0x46, 0x55, 0xb4, 0x3e, 0x18, 0x41, 0x11, 0x18, 0xbe, 0xc9, 0x7f, 0x3c,
  0xf1, 0x81, 0x6d, 0x98, 0x13, 0x79, 0x8b, 0xd2, 0xad, 0x12, 0xba, 0xca,
  0x22, 0xd6, 0x10, 0xd5, 0x82, 0x70, 0x70, 0xf9, 0x3c, 0x33, 0x1f, 0xbe,
  0x21, 0xc8, 0x34, 0x91, 0x54, 0xb0, 0xdb, 0x30, 0x8d, 0xb2, 0x20, 0x87,
  0xcf, 0xef, 0xb7, 0x98, 0xaf, 0x28, 0x2b, 0x51, 0xf1, 0x76, 0xdd, 0xe3,
  0x46, 0x8f, 0xa2, 0xfe, 0xa2, 0x09, 0x83, 0x7f, 0xbf, 0xa0, 0x0b, 0xfa,
  0x03, 0x58, 0xe0, 0xc7
};

static const uint8_t dP_4096[] = { /* key component dP, 256 bytes */
  0x1b, 0x7f, 0xff, 0x06, 0x9e, 0x3d, 0x7a, 0xa7, 0x45, 0xac, 0x89, 0x16,
  0xb3, 0x13, 0x45, 0xa6, 0x8f, 0xae, 0x56, 0x2b, 0x5a, 0xb1, 0x36, 0x06,
  0xe5, 0xac, 0x8d, 0x37, 0xcd, 0x86, 0x6f, 0x34, 0x36, 0xab, 0x11, 0x30,
  0x5f, 0x29, 0xd7, 0x88, 0x03, 0xdd, 0xd7, 0xe8, 0xb7, 0x2d, 0x52, 0x1d,
  0x9c, 0x48, 0x1f, 0xc8, 0x6e, 0x2e, 0x81, 0x90, 0xbb, 0xaa, 0xee, 0xd5,
  0x91, 0xc2, 0x5a, 0x55, 0xcd, 0x0e, 0xa9, 0x47, 0xdb, 0x5e, 0x6f, 0x0f,
  0x6c, 0xf0, 0x64, 0xe7, 0xe5, 0x42, 0x0b, 0x7d, 0xc1, 0x6c, 0xaa, 0xb9,
  0xf3, 0x99, 0x61, 0xd5, 0x3d, 0x66, 0x53, 0x7b, 0x1a, 0x8c, 0x08, 0x8d,
  0xe7, 0xc4, 0x0c, 0xd3, 0x6e, 0xe9, 0x04, 0x29, 0xf3, 0xbe, 0x9f, 0x0b,
  0x34, 0x1e, 0x13, 0x82, 0x3f, 0x08, 0x18, 0x81, 0xd3, 0x35, 0x06, 0xcd,
  0xc4, 0xeb, 0x62, 0x17, 0x19, 0xe2, 0xe3, 0x0b, 0xce, 0x7e, 0x92, 0xa2,
  0x86, 0x65, 0xf8, 0xd7, 0x74, 0x81, 0x4c, 0x1d, 0x04, 0xb1, 0x0e, 0xc2,
  0x3e, 0x85, 0x68, 0x70, 0xd6, 0x74, 0xd3, 0xcb, 0x18, 0x74, 0xb8, 0x36,
  0x0f, 0x91, 0x58, 0x8b, 0x60, 0xa0, 0xc6, 0xe6, 0x96, 0x3b, 0x92, 0x87,
  0xb3, 0xac, 0x2c, 0x2b, 0xb6, 0xb6, 0x8d, 0x4a, 0x2e, 0xc7, 0x98, 0x35,
  0x3e, 0x2a, 0x2e, 0x24, 0xec, 0xd6, 0x74, 0xb7, 0x39, 0x89, 0x87, 0x24,
  0x4c, 0x3d, 0x42, 0x40, 0x2a, 0xff, 0x34, 0x30, 0x9b, 0x57, 0x6e, 0xe5,
  0x8b, 0x76, 0xf6, 0x30, 0x37, 0x4a, 0xa9, 0x33, 0xa4, 0x30, 0x61, 0x6e,
  0xaa, 0x1b, 0xd0, 0xfb, 0x47, 0x98, 0xd8, 0xe3, 0x8d, 0x89, 0xa5, 0x0d,
  0x8e, 0x01, 0xaf, 0x69, 0x9a, 0x58, 0xe2, 0x7e, 0xae, 0x4e, 0x6b, 0xd3,
  0x0f, 0xe4, 0xa4, 0xd6, 0xfe, 0xcb, 0x61, 0x2c, 0xbf, 0x61, 0xb0, 0x55,
  0x31, 0x68, 0xe9, 0x97
};

static const uint8_t dQ_4096[] = { /* key component dQ, 256 bytes */
  0x88, 0x36, 0xf3, 0x66, 0x71, 0x79, 0xf0, 0x18, 0xba, 0x1d, 0x18, 0x91,
  0x32, 0x27, 0xf0, 0xd0, 0x72, 0xd7, 0xe6, 0xf0, 0x47, 0x03, 0x7a, 0xca,
  0xba, 0x87, 0x7d, 0x6d, 0xdd, 0x5a, 0xa3, 0x6b, 0x40, 0x92, 0xfb, 0xc3,
  0x54, 0xa2, 0x9e, 0x12, 0x91, 0xf7, 0x38, 0x92, 0xe7, 0x4b, 0x64, 0x46,
  0xfd, 0x26, 0xe0, 0x74, 0xda, 0x0f, 0xa0, 0x91, 0x7f, 0xd6, 0xc1, 0x53,
  0xe7, 0xfd, 0x90, 0xe8, 0x9e, 0x53, 0xab, 0xc6, 0x39, 0xa6, 0x0a, 0xef,
  0x96, 0x7a, 0x4d, 0xb6, 0xd6, 0x7e, 0x6a, 0xf4, 0xc4, 0x1a, 0x1c, 0x14,
  0xb4, 0xcb, 0xec, 0xf3, 0xd0, 0xec, 0x1b, 0xd3, 0x02, 0xe2, 0x4f, 0x28,
  0xe0, 0x13, 0xe9, 0x00, 0x41, 0xb4, 0xe5, 0x33, 0xdd, 0x04, 0xc1, 0x97,
  0x25, 0xa9, 0xa2, 0x77, 0xd2, 0xb9, 0x6d, 0xff, 0x1c, 0x03, 0x39, 0x05,
  0x95, 0x17, 0x29, 0x5c, 0xfe, 0x3f, 0x13, 0x8c, 0xea, 0x2b, 0x80, 0x48,
  0x0b, 0xb0, 0xe2, 0xe9, 0x56, 0x26, 0xa0, 0x5f, 0xba, 0xa9, 0x87, 0xf8,
  0x34, 0xdf, 0xb9, 0x4d, 0xb6, 0xa3, 0x58, 0xa5, 0x35, 0xcd, 0x58, 0x56,
  0xc3, 0xaf, 0x11, 0x98, 0x82, 0x6b, 0xef, 0x52, 0x14, 0xd4, 0xd7, 0x0b,
  0x98, 0xe2, 0x98, 0x8a, 0x91, 0x06, 0x2d, 0x2c, 0xbb, 0x29, 0x35, 0x26,
  0x35, 0x1d, 0x32, 0x90, 0xfb, 0x49, 0xb0, 0xee, 0x03, 0x7f, 0xd2, 0xd5,
  0xbe, 0x19, 0x60, 0x62, 0x47, 0x8a, 0x97, 0x2d, 0x11, 0xbc, 0x5b, 0x39,
  0x1b, 0x16, 0xda, 0xe9, 0x67, 0x8c, 0xef, 0xba, 0x48, 0x46, 0xf5, 0xe8,
  0x65, 0x89, 0x3e, 0xcd, 0xc4, 0x11, 0xbd, 0x85, 0xce, 0x9b, 0x21, 0xda,
  0x8b, 0x72, 0xe7, 0x12, 0xfc, 0x2f, 0x64, 0xba, 0xbe, 0x1e, 0x2e, 0x2e,
  0x97, 0xc6, 0xcc, 0xa8, 0xf6, 0x06, 0xfe, 0xce, 0x83, 0x6d, 0x31, 0x99,
  0x8b, 0x3d, 0x29, 0x21
};

static const uint8_t u_4096[] = { /* key component u, 256 bytes */
  0xa8, 0xba, 0x71, 0xc4, 0x5d, 0xf5, 0xce, 0x37, 0xf6, 0xec, 0x56, 0xe3,
  0xe4, 0x11, 0x8a, 0x3a, 0xd1, 0x97, 0xd9, 0xd2, 0x32, 0x61, 0xd6, 0x47,
  0xae, 0x34, 0x10, 0x4c, 0x02, 0xe8, 0x08, 0x2a, 0x68, 0x58, 0x26, 0x42,
  0x0c, 0x4a, 0x7f, 0x87, 0xbd, 0xd8, 0x7c, 0xfc, 0xe0, 0xa5, 0x58, 0x14,
  0x08, 0xa9, 0x3c, 0x36, 0x00, 0x80, 0x53, 0x3a, 0x91, 0x8e, 0xe3, 0xfd,
  0x2d, 0x2b, 0x99, 0xb3, 0xeb, 0x60, 0x60, 0x13, 0xc9, 0x79, 0x95, 0xfa,
  0xe8, 0x30, 0x7e, 0x41, 0xfb, 0x79, 0xc7, 0x3d, 0x04, 0x85, 0x82, 0x8d,
  0xdb, 0xd5, 0x5b, 0x26, 0xf8, 0x7d, 0x8e, 0xbe, 0xa9, 0x24, 0x70, 0xe7,
  0x0b, 0x6f, 0x71, 0xfd, 0x83, 0xf5, 0x0b, 0x26, 0xb1, 0x2d, 0x79, 0x2f,
  0x81, 0xd3, 0x32, 0x7f, 0x86, 0x96, 0x76, 0x0d, 0xdf, 0x56, 0x5d, 0x6b,
  0x91, 0x60, 0xed, 0x32, 0xc8, 0xae, 0xe0, 0x03, 0x26, 0x78, 0x99, 0x78,
  0x56, 0x1d, 0x23, 0x5d, 0x05, 0x44, 0x20, 0x93, 0x8b, 0x56, 0x1c, 0x43,
  0x87, 0xec, 0x07, 0xe6, 0xfe, 0x86, 0xc4, 0xbb, 0x86, 0x03, 0xc7, 0x27,
  0xfa, 0x2f, 0x43, 0xcf, 0xba, 0xfd, 0x3b, 0x7c, 0xf3, 0x67, 0x16, 0xe3,
  0x30, 0x98, 0x21, 0x14, 0x8d, 0x3e, 0x9c, 0x65, 0x6a, 0x88, 0x47, 0xe3,
  0xaa, 0xc5, 0x89, 0x29, 0x0b, 0x55, 0x07, 0x6c, 0x95, 0x00, 0x2d, 0xbd,
  0xbb, 0xb3, 0x08, 0x9f, 0x42, 0x80, 0x71, 0x4f, 0x34, 0xb4, 0xe5, 0xaa,
  0xe4, 0x89, 0xf8, 0x36, 0xd7, 0x0a, 0xae, 0x80, 0x28, 0x51, 0x22, 0x8a,
  0x4e, 0xf7, 0x93, 0x0e, 0xf8, 0x54, 0x61, 0xe3, 0xdf, 0x81, 0x3c, 0x65,
  0x66, 0xb4, 0xd8, 0x6b, 0x83, 0xe3, 0xbd, 0x2f, 0xaa, 0x09, 0xb5, 0x25,
  0x72, 0x97, 0x34, 0x51, 0xd4, 0xf5, 0xd9, 0x14, 0x65, 0xdf, 0xf9, 0xd5,
  0xed, 0x5f, 0xce, 0xca
};

static const uint8_t m_4096[] = { /* message to be signed, 512 bytes */
  0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60,
  0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20,
  0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c,
  0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49,
  0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97
};

static const uint8_t s_4096[] = { /* signed message, 512 bytes */
  0xad, 0x46, 0xb3, 0x86, 0xb3, 0x3d, 0x13, 0xb7, 0x56, 0x0c, 0xbf, 0xd8,
  0xfe, 0xf4, 0xf2, 0x0d, 0x2d, 0x5a, 0x28, 0xad, 0xb5, 0x43, 0x7b, 0x88,
  0x5f, 0x01, 0xa4, 0x01, 0xd6, 0x28, 0x3b, 0x10, 0x0e, 0x22, 0x89, 0x11,
  0xc4, 0x3e, 0xcf, 0xbb, 0xaf, 0xd6, 0x82, 0xd9, 0x51, 0xb1, 0x93, 0xd6,
  0xc8, 0x7b, 0x89, 0xd4, 0x7a, 0xd1, 0xd0, 0x08, 0x39, 0x6b, 0x13, 0xb5,
  0x55, 0x75, 0x61, 0xf3, 0xce, 0x47, 0x77, 0x01, 0x29, 0xee, 0x07, 0x5e,
  0x4d, 0xdf, 0x83, 0x80, 0x18, 0x6d, 0xb8, 0x57, 0x14, 0x45, 0x81, 0x27,
  0x1e, 0xe3, 0x2f, 0xdf, 0x0a, 0xba, 0x3b, 0x0f, 0x12, 0x07, 0xff, 0x7f,
  0x35, 0x44, 0x75, 0xe3, 0xa8, 0x39, 0x25, 0x88, 0x3c, 0x32, 0x9e, 0x8a,
  0xd6, 0xfa, 0x3f, 0x89, 0xa4, 0x6d, 0x8a, 0x9d, 0x3d, 0x75, 0x2c, 0x6f,
  0x2a, 0x85, 0xd8, 0x96, 0x47, 0x4b, 0xde, 0x2a, 0x6b, 0x5e, 0xe1, 0x88,
  0xcd, 0x37, 0xfb, 0x17, 0xe2, 0x84, 0x81, 0xe7, 0xa8, 0x7c, 0x47, 0x8e,
  0x69, 0x69, 0x91, 0x37, 0x71, 0x97, 0x3f, 0xd1, 0x1a, 0x3e, 0x34, 0x84,
  0x52, 0xe0, 0x08, 0x2c, 0x4c, 0xdc, 0x02, 0x11, 0x08, 0x30, 0xc9, 0xf5,
  0x85, 0xc6, 0x6b, 0xba, 0x59, 0xc1, 0xf2, 0xc6, 0x7f, 0x8c, 0x4a, 0x57,
  0xe5, 0x29, 0xa5, 0x0d, 0x60, 0x1a, 0x0e, 0xda, 0xd1, 0xac, 0xcc, 0x21,
  0x20, 0x5c, 0xa0, 0x62, 0xf6, 0xc6, 0x4a, 0x92, 0xb2, 0x35, 0x9f, 0x62,
  0x51, 0x4d, 0xcb, 0xd0, 0x35, 0x4e, 0xb2, 0xa3, 0x1b, 0xec, 0xd6, 0x18,
  0xb4, 0x67, 0xb9, 0xf8, 0x5c, 0x80, 0xfc, 0x20, 0x05, 0x85, 0x8a, 0x5a,
  0x35, 0x9a, 0xde, 0x2c, 0xd9, 0xde, 0x21, 0xfe, 0x9f, 0x92, 0x9f, 0xcb,
  0xb8, 0xea, 0x56, 0xf9, 0xb7, 0x4f, 0x61, 0xf9, 0x20, 0x09, 0xfe, 0x78,
  0x4b, 0x92, 0x90, 0x7a, 0xf9, 0xd0, 0x28, 0x95, 0x34, 0xc6, 0x5a, 0x9a,
  0x2a, 0x2a, 0xb8, 0xab, 0x6a, 0x1a, 0xc1, 0xd7, 0x7d, 0x5c, 0xde, 0xd1,
  0xaf, 0xe2, 0x20, 0x8d, 0x62, 0x56, 0x2c, 0x71, 0x78, 0x5b, 0x29, 0x20,
  0x4b, 0xf0, 0xe9, 0xa4, 0xe2, 0x3f, 0xab, 0xa2, 0x77, 0xac, 0xdf, 0x6e,
  0x2e, 0xc3, 0xa1, 0x4f, 0xe0, 0x30, 0xa7, 0xb7, 0x3a, 0x05, 0x13, 0x43,
  0xc1, 0x64, 0xdd, 0xff, 0x96, 0x65, 0x4c, 0x40, 0x62, 0x4a, 0xff, 0xa3,
  0xf0, 0x81, 0x26, 0x5d, 0x5f, 0x55, 0x73, 0xdb, 0x7d, 0xf8, 0x1f, 0x9c,
  0x0a, 0x64, 0x93, 0x74, 0xf3, 0xeb, 0x3d, 0x6f, 0x68, 0xec, 0x85, 0x5a,
  0xaa, 0x91, 0xb8, 0x5a, 0x36, 0x64, 0x89, 0x66, 0xb1, 0x53, 0xc5, 0xb8,
  0x5d, 0x33, 0xf7, 0x60, 0xc2, 0x89, 0x36, 0xef, 0x0d, 0xc5, 0x58, 0x08,
  0x75, 0x40, 0xae, 0x04, 0x87, 0x74, 0x1f, 0x11, 0x65, 0x1c, 0x84, 0xb6,
  0x60, 0xa0, 0xae, 0xe2, 0x2e, 0x70, 0xbe, 0x6a, 0x5d, 0x76, 0x60, 0xaa,
  0x41, 0xc5, 0x35, 0x09, 0xd3, 0x25, 0x5e, 0xd4, 0x7f, 0x22, 0x2b, 0xd7,
  0x09, 0x38, 0xae, 0x59, 0xde, 0x55, 0x88, 0x52, 0xae, 0x30, 0xfc, 0xb8,
  0x61, 0xdd, 0x7e, 0xc7, 0x1b, 0x37, 0xd5, 0x83, 0x28, 0x2a, 0x6e, 0x38,
  0x01, 0xb5, 0xd4, 0x3f, 0x34, 0xb6, 0x37, 0xd5, 0xbf, 0x59, 0x6e, 0xb7,
  0x16, 0x07, 0x96, 0x76, 0xe7, 0x84, 0x1b, 0x24, 0x59, 0x0b, 0x0a, 0x5c,
  0x5b, 0xef, 0xae, 0xc7, 0x7d, 0x18, 0x7e, 0x7c, 0x1a, 0xd5, 0x24, 0x2e,
  0xe9, 0x7f, 0x92, 0x3f, 0x4d, 0xd2, 0x0e, 0x44, 0xd1, 0x60, 0x73, 0xef,
  0x9b, 0xb6, 0x43, 0x87, 0xdd, 0x43, 0x1c, 0xa2, 0x67, 0x3e, 0x80, 0x5f,
  0x50, 0x6d, 0x5c, 0xb6, 0x90, 0xd5, 0x14, 0xce, 0xad, 0xbc, 0x2e, 0x39,
  0x62, 0x96, 0xc3, 0x25, 0xec, 0xa4, 0xd8, 0xf2
};

typedef struct { const uint8_t *val; size_t len; } rsa_tc_bn_t;
typedef struct { size_t size; rsa_tc_bn_t n, e, d, p, q, dP, dQ, u, m, s; } rsa_tc_t;

static const rsa_tc_t rsa_tc[] = {
  { 1024,
    { n_1024, sizeof(n_1024) },
    { e_1024, sizeof(e_1024) },
    { d_1024, sizeof(d_1024) },
    { p_1024, sizeof(p_1024) },
    { q_1024, sizeof(q_1024) },
    { dP_1024, sizeof(dP_1024) },
    { dQ_1024, sizeof(dQ_1024) },
    { u_1024, sizeof(u_1024) },
    { m_1024, sizeof(m_1024) },
    { s_1024, sizeof(s_1024) }
  },
  { 2048,
    { n_2048, sizeof(n_2048) },
    { e_2048, sizeof(e_2048) },
    { d_2048, sizeof(d_2048) },
    { p_2048, sizeof(p_2048) },
    { q_2048, sizeof(q_2048) },
    { dP_2048, sizeof(dP_2048) },
    { dQ_2048, sizeof(dQ_2048) },
    { u_2048, sizeof(u_2048) },
    { m_2048, sizeof(m_2048) },
    { s_2048, sizeof(s_2048) }
  },
  { 4096,
    { n_4096, sizeof(n_4096) },
    { e_4096, sizeof(e_4096) },
    { d_4096, sizeof(d_4096) },
    { p_4096, sizeof(p_4096) },
    { q_4096, sizeof(q_4096) },
    { dP_4096, sizeof(dP_4096) },
    { dQ_4096, sizeof(dQ_4096) },
    { u_4096, sizeof(u_4096) },
    { m_4096, sizeof(m_4096) },
    { s_4096, sizeof(s_4096) }
  }
};