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diff --git a/var/spack/repos/builtin/packages/fplll/package.py b/var/spack/repos/builtin/packages/fplll/package.py
new file mode 100644
index 0000000000..ed9a3dcec0
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+++ b/var/spack/repos/builtin/packages/fplll/package.py
@@ -0,0 +1,33 @@
+# Copyright 2013-2021 Lawrence Livermore National Security, LLC and other
+# Spack Project Developers. See the top-level COPYRIGHT file for details.
+#
+# SPDX-License-Identifier: (Apache-2.0 OR MIT)
+
+from spack import *
+
+
+class Fplll(AutotoolsPackage):
+    """fplll contains implementations of several lattice algorithms.
+       The implementation relies on floating-point orthogonalization,
+       and LLL is central to the code, hence the name."""
+
+    homepage = "https://github.com/fplll/fplll"
+    url      = "https://github.com/fplll/fplll/releases/download/5.4.0/fplll-5.4.0.tar.gz"
+
+    version('5.4.0', sha256='fe192a65a56439b098e26e3b7ee224dda7c2c73a58f36ef2cc6f9185ae8c482b')
+    version('5.3.3', sha256='5e7c46c30623795feeac19cf607583b7c82b0490ceb91498f0f712789be20ccd')
+    version('5.3.2', sha256='4d935d712d11902c60a2a5cb50b696391f4ca4a2de59b0daeca74c29024c21fe')
+    version('5.3.1', sha256='bf7e7e667173b5655cb989ec6a55c07af057d9011572f85eb53fbf93f4e2d239')
+    version('5.3.0', sha256='67a579842f5dabf9b3968b0c12af1ee808c5bfb7bc611fe4c2bba9ca00af1067')
+    version('5.2.1', sha256='e38e3f8f14d5dbf46aab66d6c12f5973d4b12b72832161ed1491e8e925de4816')
+    version('5.2.0', sha256='75e17fcaa4fc5fdddbe6eb42aca5f38c4c169a4b52756e74fbe2d1769737ac9c')
+    version('5.1.0', sha256='58175c54cc92752576a64361c73e4ea7797fc18fb703b3f22c7570a09075486f')
+    version('5.0.3', sha256='d2b11b7dcb26c30ac1aab9ff75aca9b3dd6e0b0b40c382af16017a717dfe05c2')
+
+    depends_on('gmp')
+    depends_on('mpfr')
+
+    def configure_args(self):
+        args = ['--with-gmp=' + self.spec['gmp'].prefix,
+                '--with-mpfr=' + self.spec['mpfr'].prefix]
+        return args