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authorDavid Benjamin <davidben@google.com>2016-07-03 17:13:21 +0300
committerDavid Benjamin <davidben@google.com>2016-07-07 02:15:17 +0300
commitad6d33c70dd18bdd90f0dcce3324b680a307adff (patch)
tree88b3c473bf234fb958dbbf1be629efe6b57bcf6f /crypto
parent45a8c8a3c4e1132989471a80518b15230ac93de5 (diff)
Convert test_mod_exp_mont5 test vectors.
These were generated by running test_mod_exp_mont5 10 times. The values with Montgomery representation 1 were generated separately so the test file could preserve the comment. (Though, at 10,000 lines, no one's going to find it...) BUG=31 Change-Id: I8e9d4d6d7b5f7d283bd259df10a1dbdc90b888cf Reviewed-on: https://boringssl-review.googlesource.com/8611 Reviewed-by: David Benjamin <davidben@google.com>
Diffstat (limited to 'crypto')
-rw-r--r--crypto/bn/bn_test.cc74
-rw-r--r--crypto/bn/bn_tests.txt203
2 files changed, 203 insertions, 74 deletions
diff --git a/crypto/bn/bn_test.cc b/crypto/bn/bn_test.cc
index f2a33ecb..6cabbd08 100644
--- a/crypto/bn/bn_test.cc
+++ b/crypto/bn/bn_test.cc
@@ -102,7 +102,6 @@ static int rand_neg();
static bool test_exp(FILE *fp, BN_CTX *ctx);
static bool test_mod_sqrt(FILE *fp, BN_CTX *ctx);
-static bool test_mod_exp_mont5(FILE *fp, BN_CTX *ctx);
static bool TestBN2BinPadded(BN_CTX *ctx);
static bool TestDec2BN(BN_CTX *ctx);
static bool TestHex2BN(BN_CTX *ctx);
@@ -172,12 +171,6 @@ int main(int argc, char *argv[]) {
"| grep -v 0 */\n");
puts_fp(bc_file.get(), "obase=16\nibase=16\n");
- message(bc_file.get(), "BN_mod_exp_mont_consttime");
- if (!test_mod_exp_mont5(bc_file.get(), ctx.get())) {
- return 1;
- }
- flush_fp(bc_file.get());
-
message(bc_file.get(), "BN_exp");
if (!test_exp(bc_file.get(), ctx.get())) {
return 1;
@@ -693,73 +686,6 @@ static int rand_neg() {
return sign[(neg++) % 8];
}
-// Test constant-time modular exponentiation with 1024-bit inputs,
-// which on x86_64 cause a different code branch to be taken.
-static bool test_mod_exp_mont5(FILE *fp, BN_CTX *ctx) {
- ScopedBIGNUM a(BN_new());
- ScopedBIGNUM p(BN_new());
- ScopedBIGNUM m(BN_new());
- ScopedBIGNUM d(BN_new());
- ScopedBIGNUM e(BN_new());
- if (!a || !p || !m || !d || !e ||
- !BN_rand(m.get(), 1024, 0, 1) || // must be odd for montgomery
- !BN_rand(a.get(), 1024, 0, 0)) {
- return false;
- }
- // Zero exponent.
- BN_zero(p.get());
- if (!BN_mod_exp_mont_consttime(d.get(), a.get(), p.get(), m.get(), ctx,
- NULL)) {
- return false;
- }
- if (!BN_is_one(d.get())) {
- fprintf(stderr, "Modular exponentiation test failed!\n");
- return false;
- }
- if (!BN_rand(p.get(), 1024, 0, 0)) {
- return false;
- }
- // Zero input.
- BN_zero(a.get());
- if (!BN_mod_exp_mont_consttime(d.get(), a.get(), p.get(), m.get(), ctx,
- NULL)) {
- return false;
- }
- if (!BN_is_zero(d.get())) {
- fprintf(stderr, "Modular exponentiation test failed!\n");
- return false;
- }
- // Craft an input whose Montgomery representation is 1, i.e., shorter than the
- // modulus m, in order to test the const time precomputation
- // scattering/gathering.
- ScopedBN_MONT_CTX mont(BN_MONT_CTX_new());
- if (!mont || !BN_one(a.get()) ||
- !BN_MONT_CTX_set(mont.get(), m.get(), ctx) ||
- !BN_from_montgomery(e.get(), a.get(), mont.get(), ctx) ||
- !BN_mod_exp_mont_consttime(d.get(), e.get(), p.get(), m.get(), ctx,
- NULL) ||
- !BN_mod_exp(a.get(), e.get(), p.get(), m.get(), ctx)) {
- return false;
- }
- if (BN_cmp(a.get(), d.get()) != 0) {
- fprintf(stderr, "Modular exponentiation test failed!\n");
- return false;
- }
- // Finally, some regular test vectors.
- if (!BN_rand(e.get(), 1024, 0, 0) ||
- !BN_mod_exp_mont_consttime(d.get(), e.get(), p.get(), m.get(), ctx,
- NULL) ||
- !BN_mod_exp(a.get(), e.get(), p.get(), m.get(), ctx)) {
- return false;
- }
- if (BN_cmp(a.get(), d.get()) != 0) {
- fprintf(stderr, "Modular exponentiation test failed!\n");
- return false;
- }
-
- return true;
-}
-
static bool test_exp(FILE *fp, BN_CTX *ctx) {
ScopedBIGNUM a(BN_new());
ScopedBIGNUM b(BN_new());
diff --git a/crypto/bn/bn_tests.txt b/crypto/bn/bn_tests.txt
index d99e1bdd..b93e1f92 100644
--- a/crypto/bn/bn_tests.txt
+++ b/crypto/bn/bn_tests.txt
@@ -9975,3 +9975,206 @@ ModExp = 90bef3b
A = a75d62616d
E = 37
M = 3db59d12
+
+ModExp = 1
+A = cddd44f47e84b3276cc36a5c0d742cc703e61c4756168601fbb1b6eb598c161019562344dd56ab6f603d920a12c360b285e6496a3605a2f8d691c3598233ee9366b5f2692554893bdeb67b7bdaf35ab7273ac593145e26bed82c70ba5793bf4bc5cac4c80b01785d1496beede493806e4f4aa89fd8d41de80dd6d0a3e2742678
+E = 0
+M = c95943186c7567fe8cd1bb4f07e7c659475fd9f38217571af20dfe7e4666d86286bc5b2bb013197f9b1c452c69a95bb7e450cf6e45d46e452282d5d2826978e06c52c7ca204869e8d1b1fac4911e3aef92c7b2d7551ebd8c6fe0365fad49e275cc2949a124385cadc4ace24671c4fe86a849de07c6fafacb312f55e9f3c79dcb
+
+ModExp = 0
+A = 0
+E = 8de689aef79eba6b20d7debb8d146541348df2f259dff6c3bfabf5517c8caf0473866a03ddbd03fc354bb00beda35e67f342d684896bf8dbb79238a6929692b1a87f58a2dcba596fe1a0514e3019baffe1b580fc810bd9774c00ab0f37af78619b30f273e3bfb95daac34e74566f84bb8809be7650dec75a20be61b4f904ed4e
+M = c95943186c7567fe8cd1bb4f07e7c659475fd9f38217571af20dfe7e4666d86286bc5b2bb013197f9b1c452c69a95bb7e450cf6e45d46e452282d5d2826978e06c52c7ca204869e8d1b1fac4911e3aef92c7b2d7551ebd8c6fe0365fad49e275cc2949a124385cadc4ace24671c4fe86a849de07c6fafacb312f55e9f3c79dcb
+
+ModExp = 5150fb769d5c5d341aaf56639a7bcc77c415fe46439938a2190283409692f29cd080bfe3433005d98d24718a03a3553c8560c5e9c8ed0f53b8945eb18290e1c1a83d919302510f66dd89b58acc2de79ad54b8a30d3e1019d4d222556beefca0821b094ecf104b5e4cfce69d2d520d2abf54f3e393d25ed3d27e8c2e3ca2e5ff9
+A = ead8c5a451541c50cab74de530c89376d9a55c723e0cac3c84b25f0093c08a2961e49ab48966361c42c9f99111587252d98395b76788400d75c66ef208ea2767a28d6f8dc3a859f39c95765d57f139e7fc14f47c908c62df051e7216d379f52028843b4d82ef49133cce8fe671ae179423ac8da5be43b01caaf425cd969300cd
+E = 8de689aef79eba6b20d7debb8d146541348df2f259dff6c3bfabf5517c8caf0473866a03ddbd03fc354bb00beda35e67f342d684896bf8dbb79238a6929692b1a87f58a2dcba596fe1a0514e3019baffe1b580fc810bd9774c00ab0f37af78619b30f273e3bfb95daac34e74566f84bb8809be7650dec75a20be61b4f904ed4e
+M = c95943186c7567fe8cd1bb4f07e7c659475fd9f38217571af20dfe7e4666d86286bc5b2bb013197f9b1c452c69a95bb7e450cf6e45d46e452282d5d2826978e06c52c7ca204869e8d1b1fac4911e3aef92c7b2d7551ebd8c6fe0365fad49e275cc2949a124385cadc4ace24671c4fe86a849de07c6fafacb312f55e9f3c79dcb
+
+ModExp = 1
+A = 935561297d1d90255aef891e2e30aa09935409de3d4a5abc340ac9a9b7dce33e9f5ce407f3a67ec30e0dc30481070823f8542463e46828d9cafb672a506d6753688cbad3d2761079f770c726c0b957071a30876c4d448e884b647833befbcd6b582787bf769d63cf55e68c7b869a0b86374f8920516cf5d528f348b6057450a1
+E = 0
+M = dcc24236a1bb94c71d9ec162a6aa4697b932717e82b667cad08b6bd1bbcbddf7cd167b7458de2b0b780486b39574e749d6405f9ede774a021d6b547271523e9e84a6fdd3a98315607ccf93356f54daa9c75e1e311e1672d0dc163be13f9ed6762f7dd301f5b0a1bb2398b608f40ac357ae34fc8a87d4fef3b961cbdb806d9061
+
+ModExp = 0
+A = 0
+E = bb552be12c02ae8b9e90c8beb5689ffefe3378d2c30f12a6d14496250ecce30317c642857535a741642c3df689a8d71a276d247ed482b07b50135357da6143ac2f5c74f6c739c5ff6ada21e1ab35439f6445a1019d6b607950bffb0357c6009a2bfc88cd7f4f883dc591d4eb45b1d787e85aba5c10ee4fe05ea47bf556aec94d
+M = dcc24236a1bb94c71d9ec162a6aa4697b932717e82b667cad08b6bd1bbcbddf7cd167b7458de2b0b780486b39574e749d6405f9ede774a021d6b547271523e9e84a6fdd3a98315607ccf93356f54daa9c75e1e311e1672d0dc163be13f9ed6762f7dd301f5b0a1bb2398b608f40ac357ae34fc8a87d4fef3b961cbdb806d9061
+
+ModExp = bbad67352704a6321809f742826bf3d1c31c0ad057bf81432abeb30dc9913c896c03e69eb1cde6b78ffcb320c4625bd38ef23a08d6c64dc86aec951b72d74b097e209ce63092959894614e3865a6153ec0ff6fda639e44071a33763f6b18edc1c22094c3f844f04a86d414c4cb618e9812991c61289360c7ba60f190f75038d0
+A = 855144760f2be2f2038d8ff628f03a902ae2e07736f2695ec980f84a1781665ab65e2b4e53d31856f431a32fd58d8a7727acee54cc54a62161b035c0293714ca294e2161ea4a48660bf084b885f504ad23ea338030460310bd19186be9030ab5136f09fe6a9223962bce385aaaf9c39fe6ed6d005fa96163fe15cdfa08fc914d
+E = bb552be12c02ae8b9e90c8beb5689ffefe3378d2c30f12a6d14496250ecce30317c642857535a741642c3df689a8d71a276d247ed482b07b50135357da6143ac2f5c74f6c739c5ff6ada21e1ab35439f6445a1019d6b607950bffb0357c6009a2bfc88cd7f4f883dc591d4eb45b1d787e85aba5c10ee4fe05ea47bf556aec94d
+M = dcc24236a1bb94c71d9ec162a6aa4697b932717e82b667cad08b6bd1bbcbddf7cd167b7458de2b0b780486b39574e749d6405f9ede774a021d6b547271523e9e84a6fdd3a98315607ccf93356f54daa9c75e1e311e1672d0dc163be13f9ed6762f7dd301f5b0a1bb2398b608f40ac357ae34fc8a87d4fef3b961cbdb806d9061
+
+ModExp = 1
+A = 9d92629c1ab181c50c31619e8acd0d235a1f5fc7a0bef4d4fd54b4f1968d45921f8522efe88e69c6c14c576c564592b9feb00d1554b88b038934eaf4a8ce81a2582732387490181ef158360c8b2d9ccb326ffe043f776a50cb8202837f08ca743b562eefa007150ab7012c341b16248478d4775c02ad71ea13d5e82b71e2d600
+E = 0
+M = cd607549668469b792f495c141e500871880b0611c8004293a561ec7f9ab6561f8a9b90872742386adafb5cd1890e8204ae12aec529cca0a9e382c96439137f09de9973b12c8492c62847e107deabb7dd946ffbb9d0ac73b462c481092bd65326a17f21d8d6527c47a5dba50aaa20c7048b8788a49eb3ea5f29bd5cfce24eb3b
+
+ModExp = 0
+A = 0
+E = 9f43dcb641f3ecf4dbc97450f2bdf3b7ec6a2f3e8e96bb1df2bf34b8d2d78e1a9018d04d960ffd0e932cfc60d3b9b923e3f9f29b3f3d61cae3a9f7245078143475c7fcb896ff200f7d94c4f2708bb42750e37c185a31c876814e4f06a00771707654e1da2fb69c16b6500b16385e3b933e2276ad3569977473f699b1c7926c3b
+M = cd607549668469b792f495c141e500871880b0611c8004293a561ec7f9ab6561f8a9b90872742386adafb5cd1890e8204ae12aec529cca0a9e382c96439137f09de9973b12c8492c62847e107deabb7dd946ffbb9d0ac73b462c481092bd65326a17f21d8d6527c47a5dba50aaa20c7048b8788a49eb3ea5f29bd5cfce24eb3b
+
+ModExp = 24eaead5b57883c2f454928f8edd470a344bfe07a953194f7d635d705ef13ddfc64140c8ad6f363d4c828e7c7891a6b6d4df37335de4552c319dafd1c06d1f743240082a3535df4da1475d3eea3fead20e40815fd5a0876c881c162ab65a1eda494280c258901ca953d1d039a998bf0e9aa09273bbef4865f3054663b72d75ff
+A = a31618b4532f53729ba22efb2221432fab1dbb70853d6a1159b42fd19fc949965c709b209de106a652aa422d88922ce51dae47f7f6deaf0055202e13db79ee84fc3d3c6f4c003ef96597c49d6895fa53c22ac9e4819f7048146b5272f6279424fdb389819a0b251c823c76f4bebf4f1246de455aafe82a0d34454f5039e90839
+E = 9f43dcb641f3ecf4dbc97450f2bdf3b7ec6a2f3e8e96bb1df2bf34b8d2d78e1a9018d04d960ffd0e932cfc60d3b9b923e3f9f29b3f3d61cae3a9f7245078143475c7fcb896ff200f7d94c4f2708bb42750e37c185a31c876814e4f06a00771707654e1da2fb69c16b6500b16385e3b933e2276ad3569977473f699b1c7926c3b
+M = cd607549668469b792f495c141e500871880b0611c8004293a561ec7f9ab6561f8a9b90872742386adafb5cd1890e8204ae12aec529cca0a9e382c96439137f09de9973b12c8492c62847e107deabb7dd946ffbb9d0ac73b462c481092bd65326a17f21d8d6527c47a5dba50aaa20c7048b8788a49eb3ea5f29bd5cfce24eb3b
+
+ModExp = 1
+A = a8558e7f455b27c0c46d7d0862eb409cdefbeca945e0284b5bf425b7ac0f3d316bc365594cc1639decffc621214d61479bc75135120d4ac09ea8b742ad7ec1822091b62b1c6f564fe5e2f4f5b7def92cbaaa9a898549207ab01b91c2324fbd306a87f7d6379b6fb6493c5fca76729767f136120da9c90bdc7d364f7d242d5acc
+E = 0
+M = 88f3c87ac5e3272a21b8a858da640d6939fb8113a95412c38663a0f352686d69a5d7927e60b484b9fcb8ef12978fe25ff2ebc9b61c5450e04222ef20ba3cbbdc5ec45581ce0f58e10be7bb9de7fa08752303a7a1db23b2ac9c6692ec63bf09ecd6639e06c5491ba568ea886620d71da32d329615f0e1443a75d09ae35b8a2d7f
+
+ModExp = 0
+A = 0
+E = a5524b41dfc6b570df1d8f6633ac7777c1131abe3a99c6166b0d29d3b8883c41b00a0c53cdd6f42820bf05c810b6ec53e77a8c1b9344ea0c91d4f410a2f204c369f3db33bf8c88217fc2cf802a9d9bce8119242d8e781875b85431be170076498c0963574ee423551aec9557e2fc672ab1ab5d0cbb1c400535df9481e7934d8f
+M = 88f3c87ac5e3272a21b8a858da640d6939fb8113a95412c38663a0f352686d69a5d7927e60b484b9fcb8ef12978fe25ff2ebc9b61c5450e04222ef20ba3cbbdc5ec45581ce0f58e10be7bb9de7fa08752303a7a1db23b2ac9c6692ec63bf09ecd6639e06c5491ba568ea886620d71da32d329615f0e1443a75d09ae35b8a2d7f
+
+ModExp = 292f0b39ca0f1c850b1a00cffd2d54924fcd5fc7e7504c9d593e6c0ff74760b1f4bdd81679fe06c50248336f3108c593fa111072ee87d0fcc89a63243a1dc89044503663eee9bc18f51c3e0193d9108303e12ac90ff78f6ec752a4386af09c42db524a7cbe9a3d4fcccd56c34d283bcc9debc17158b5fe8df0c1888a9841bf8f
+A = b4fde2908745ff92cc5826a27dcfdda09e8fffee681844fa4c7f1354d946d5d84e0e0c7a4a4cb20943d9c73dd707ca47d796945d6f6b55933b615e2c522f5dfc33e0652917b4809bab86f4fa56b32b746c177764895492d0a6a699812b2827fe701d40ef7effd78ea8efe1cac15ff74a295a09614bf04cae1a5017872ba22efe
+E = a5524b41dfc6b570df1d8f6633ac7777c1131abe3a99c6166b0d29d3b8883c41b00a0c53cdd6f42820bf05c810b6ec53e77a8c1b9344ea0c91d4f410a2f204c369f3db33bf8c88217fc2cf802a9d9bce8119242d8e781875b85431be170076498c0963574ee423551aec9557e2fc672ab1ab5d0cbb1c400535df9481e7934d8f
+M = 88f3c87ac5e3272a21b8a858da640d6939fb8113a95412c38663a0f352686d69a5d7927e60b484b9fcb8ef12978fe25ff2ebc9b61c5450e04222ef20ba3cbbdc5ec45581ce0f58e10be7bb9de7fa08752303a7a1db23b2ac9c6692ec63bf09ecd6639e06c5491ba568ea886620d71da32d329615f0e1443a75d09ae35b8a2d7f
+
+ModExp = 1
+A = e2845c572b46496ac158a731f612fd40ef626fa7134755c25b1b7614f4d7b29164e6142ddb7985e4c7ebc575855ff901e95927fe98a5aea2ad3a4720c75782323bea1518b2c57790f44efd9411be4e95b3896bad1e73c59658290b309e5a7eb5ef8be08125063e57336b80f17eacee88966d12bbaaa15a25929c82e027cf696f
+E = 0
+M = cf0dee80177869a532f0c6c3a0bda3aad79bdb6b70b6c227b32d75c26e394a90c1f2a6c2bb841ba9f6556b15654a79d8b1dd0c90709a093497bf40be0807cdbb378a74de5893c25067224d3ea8d37387ed6c4a981138853cb89caa9ce6cd0f6a1e95de24d558e90960f93844db4d01e372650350d45a9d34a36042b4d4b9e78d
+
+ModExp = 0
+A = 0
+E = a55703a72ca3f6074b939ed3d748196a684a3c8e411c2b39a9beb98993b6eb7ea3fa16f41bc5b5c3710b91c0fc74a8072793052f872f61695db3a2df872eaa427a110f1a8d568c85d58bd350d0df8eced7a10be80f7567360c1a8047b9c44aa2967cd0d9dd2caea2c1492358c2db4f0214da343fdf2e34272865dc5c63be2ae4
+M = cf0dee80177869a532f0c6c3a0bda3aad79bdb6b70b6c227b32d75c26e394a90c1f2a6c2bb841ba9f6556b15654a79d8b1dd0c90709a093497bf40be0807cdbb378a74de5893c25067224d3ea8d37387ed6c4a981138853cb89caa9ce6cd0f6a1e95de24d558e90960f93844db4d01e372650350d45a9d34a36042b4d4b9e78d
+
+ModExp = c90e4c69df92e26549b016950b59080947f5403430698e128477782480dd70be96bed2b9042dd8c708eb432e02710555b97af11ce6fa9b53395022851c32d1f53f04237fb0763563b440ca6e81a50d909d907d9c26b7d3c420dbf88f7dadd488666848135f8cdc608dcfb0691989289fb54379c2e84c262f9765f68c012ca1b9
+A = 882ea1b9b6c79a3b1bdfd284658cb6227ad825e0178cab713c7413c2ec34f03cfaec470c4f5c521f5e9899a2123878ff0f5b36a4196c08ad1b04d03746c4bfb5d126f5eefbfe172627d6732710a8ac8890cedbd4fdef69a19f2b3253a5aa0e5dd5484f72d59b17bdd1dad3db209a3ab839368ed3975069685911d7b35e41a9e6
+E = a55703a72ca3f6074b939ed3d748196a684a3c8e411c2b39a9beb98993b6eb7ea3fa16f41bc5b5c3710b91c0fc74a8072793052f872f61695db3a2df872eaa427a110f1a8d568c85d58bd350d0df8eced7a10be80f7567360c1a8047b9c44aa2967cd0d9dd2caea2c1492358c2db4f0214da343fdf2e34272865dc5c63be2ae4
+M = cf0dee80177869a532f0c6c3a0bda3aad79bdb6b70b6c227b32d75c26e394a90c1f2a6c2bb841ba9f6556b15654a79d8b1dd0c90709a093497bf40be0807cdbb378a74de5893c25067224d3ea8d37387ed6c4a981138853cb89caa9ce6cd0f6a1e95de24d558e90960f93844db4d01e372650350d45a9d34a36042b4d4b9e78d
+
+ModExp = 1
+A = d7a99e65b8af86b1c51d851f0447e43cd4f343cb0ada7236283e69aa7ebd383826acc9809e5dbc4002d0f2430022cb026458189db3805ce2de1142a31ba71a6c064ab51f0059eb4b931b8bcbaef023c38d57aa5f3e14f5df77e547fc028702071b58bd57338be1e1e4f98d3553484e4de359cefa29c5f58d3fa5d823f389dbef
+E = 0
+M = 8315dacf124bd473c578946347e83d1b20c750a7d9533d6215591be40bc78bcca77821f8c8f95375bbd6372515ada63d22bed2fa49bd6fabb0040c538d08db25b09d2fda02a93ab086cd1c27df93c37ee9c6a0527d089179b8f92b5dc3acf5ef1c75906fb80b03f5c2442a7a4088640f66376575ecfa4c697c1a571397ee5a0d
+
+ModExp = 0
+A = 0
+E = 95793fe33696f53e37498b2b65aaf27079e27acf1da97dda2c3e0803e8a02139f574e04ee03f7d1ddd029f528e3f3644515ad6f10f0beac2767f23d9cd8a8b9b6c6e376e36b64a0ae2711d7d31a5a75011641935b503110edbefe9f0ff2da27b5c5f6bb8cc151fdc86f67191bb99160c6cacc86ca368d5bdfafd3f3ff5161b1e
+M = 8315dacf124bd473c578946347e83d1b20c750a7d9533d6215591be40bc78bcca77821f8c8f95375bbd6372515ada63d22bed2fa49bd6fabb0040c538d08db25b09d2fda02a93ab086cd1c27df93c37ee9c6a0527d089179b8f92b5dc3acf5ef1c75906fb80b03f5c2442a7a4088640f66376575ecfa4c697c1a571397ee5a0d
+
+ModExp = 186c50ae259aa0fd31859cbcfea534e626a254de33956d5d719334bb32e7cf37cf199a21f079a5b90497228994d05efe19ccd8c769cd81f896286e8ae557cacd1630a928c629ecdfece29ab3697794aa707734e007318fa7029b050bb09ebbe6986187c6ca843f55266d275620b3f0fec0ad5f847ce8b314d929d128b33a249e
+A = 9d5e345793faddca9867f23eeddf6816c1e837f7a2cf96fa077212514acb6be87ac01a237d8f2f1d07d27a8ddd1b0ae0d97e1bda4f205a89435017284cdedea3e407b1b940d6f52112b6359b3e86e4c83074b17c210ae2c8856b42b169b4a7a6dfa65b368a7959496cf9bb1ee93d019dbd79101830e3f5ed08604ab90890b914
+E = 95793fe33696f53e37498b2b65aaf27079e27acf1da97dda2c3e0803e8a02139f574e04ee03f7d1ddd029f528e3f3644515ad6f10f0beac2767f23d9cd8a8b9b6c6e376e36b64a0ae2711d7d31a5a75011641935b503110edbefe9f0ff2da27b5c5f6bb8cc151fdc86f67191bb99160c6cacc86ca368d5bdfafd3f3ff5161b1e
+M = 8315dacf124bd473c578946347e83d1b20c750a7d9533d6215591be40bc78bcca77821f8c8f95375bbd6372515ada63d22bed2fa49bd6fabb0040c538d08db25b09d2fda02a93ab086cd1c27df93c37ee9c6a0527d089179b8f92b5dc3acf5ef1c75906fb80b03f5c2442a7a4088640f66376575ecfa4c697c1a571397ee5a0d
+
+ModExp = 1
+A = e6a079bdf7b0638d50b183475e9ddfd5cbdebfb29f5fae8e9be402a0bd36085737b556492ea7fb4b1000ae9ce59db66098129b757cfb29224275fdaa46b8b7eb18a93ca7d3e446dc38c734b683d7ba7927b008d993aab01f44239d3c76be76d1503908e9b5e73b36c43ae0771368b01f39c042693bd92c4fc50810f059e1b332
+E = 0
+M = 81dd561d5d5327fc5ed7c9236b5fb21ef713c6d5e36264ba65ccc801b8eb107b714aad65bb503bb1f4721c0a6f97e5ab89300f049f42a4616ae43d29c089c286687484d18629c1be1b5befbdd0b3cfc86b1d28add89df4cc5e68dac3f56f2490a9068ca9c634ec258c030ec5023baa9133fd2af32fd1112895f9da549d410247
+
+ModExp = 0
+A = 0
+E = f0460c5ca9b3a5c2d1b93c201d020dc43e1c81d1daba432e2cd310902da23eb81a5172b0b357484eb8fa2c04c270893b8198c8ad35453405dadaf05195b3aeb5ec0ccacecb4b6227ca43b27b97e240a4148a472670ed60f304302f757495fd4a91af0fe09800db0c3043a6ae213bee6703ad80523ca433d99ca0eab1e0b7c929
+M = 81dd561d5d5327fc5ed7c9236b5fb21ef713c6d5e36264ba65ccc801b8eb107b714aad65bb503bb1f4721c0a6f97e5ab89300f049f42a4616ae43d29c089c286687484d18629c1be1b5befbdd0b3cfc86b1d28add89df4cc5e68dac3f56f2490a9068ca9c634ec258c030ec5023baa9133fd2af32fd1112895f9da549d410247
+
+ModExp = 60719701a2dc0bcde281a93ce0b8421d1a718adee43c1b5d9fe9e697a48ab3db4f9f33c73cff305ab6b6c300c149b05c6b289dce4580860dc56bc59de81ac074ecebdc65aa3ca040b44e5b3c80ddba1658d78b9abbc4c77e5f171f5582e70ab4438a8e1e2f062d618c4ad09c70c73b5b5fbc9f8f0bbdf1d530a933b705f85af8
+A = e1b400cd3b1f2f1c6b437adfdb970d2c8108f1b39bdbb13582179552011c6c97cba6bff2c463212b7f62776aa3e3aff9f175990e79395e819c144350b0a23d61638d500ecc97726b098e1af334aece23a851c718612442c04eb7b3805a24cc8f5b90042145eb5e5d6a408092832b6bbeb8a621419a9282fb5c075f41c7f1fdc1
+E = f0460c5ca9b3a5c2d1b93c201d020dc43e1c81d1daba432e2cd310902da23eb81a5172b0b357484eb8fa2c04c270893b8198c8ad35453405dadaf05195b3aeb5ec0ccacecb4b6227ca43b27b97e240a4148a472670ed60f304302f757495fd4a91af0fe09800db0c3043a6ae213bee6703ad80523ca433d99ca0eab1e0b7c929
+M = 81dd561d5d5327fc5ed7c9236b5fb21ef713c6d5e36264ba65ccc801b8eb107b714aad65bb503bb1f4721c0a6f97e5ab89300f049f42a4616ae43d29c089c286687484d18629c1be1b5befbdd0b3cfc86b1d28add89df4cc5e68dac3f56f2490a9068ca9c634ec258c030ec5023baa9133fd2af32fd1112895f9da549d410247
+
+ModExp = 1
+A = 9dd1e6f2d3ff24096b54e0ebf0f10e283e484a1cbafc0431adda1296ed97692f3ba99440fd4f67c96dd8bab850e1123361c99362df9ea205ff8e90d1b329459f54730992d5a360e46fcc5f5a909e691abb9a06613d6991bd7c2aa609f0d7b441d7ded0c07b8c394327672d38a905efb2d76aa3be5bb14d0c002aa37e287aee79
+E = 0
+M = fda6f9d8588e3614f5a68ce867a5619f6ddbb8d64450ff402e1c4f1a08b518f79dca21e5983c207c5b7324c16895a1e9f1282fc6cf60b0645f6b02b652ed5b129e67c939e854ab492dec30ea878c3edde10a4b7d1d14c57100c6cbcc5fc085a0d7308715ed132fb917251919c727487fedb66500d5610b0014a43419acfbb92f
+
+ModExp = 0
+A = 0
+E = 8622c37631e428402343dccf8ed09d47b3f4201e95058910289a62707c3ce0b7113c390056cc4796cc9893e471b12cb3f63f900f3356ffd25c8b2fed6f6a7fba2c684eb241ca706c76cecbf72473d8a58c02338e40714b5610465cc319f0a529a7aa3898d9e638b247abd1380c6e8f7fa210c9f1a1a2164db6db83a6bba79436
+M = fda6f9d8588e3614f5a68ce867a5619f6ddbb8d64450ff402e1c4f1a08b518f79dca21e5983c207c5b7324c16895a1e9f1282fc6cf60b0645f6b02b652ed5b129e67c939e854ab492dec30ea878c3edde10a4b7d1d14c57100c6cbcc5fc085a0d7308715ed132fb917251919c727487fedb66500d5610b0014a43419acfbb92f
+
+ModExp = 86fb0b8dc161c41de2adb0f3ddcc8ad49c1efd729a52793a3ac987d4011c9c1dadb18657dca718df75c8ddcc49d60f152c46ab85ae9076ee7bfd405679a7da3a5195a1bbfd7d2b998c7b135ea91f8c445cbafe1276fa502c2a85477716829a2e0d24ba02623405a3654bed8f355bc7ccdb67c3f9a01e249e358b60d7699498a9
+A = 816610e6018ca47074d55750dd16a281019dbf95dc752605794cbb8ea8d75775317ce685737859728320b529fb3b4414b40bf3a93d08d8994a21ae54682cc1c357eb529837a7b0129a0843eebd9341c9bee3a8ae30475bdbff517e885a0c9f2b6a680643bd981efb53bf9dd49f3dc3cb757e117895fb34b1b4336d9bf8384558
+E = 8622c37631e428402343dccf8ed09d47b3f4201e95058910289a62707c3ce0b7113c390056cc4796cc9893e471b12cb3f63f900f3356ffd25c8b2fed6f6a7fba2c684eb241ca706c76cecbf72473d8a58c02338e40714b5610465cc319f0a529a7aa3898d9e638b247abd1380c6e8f7fa210c9f1a1a2164db6db83a6bba79436
+M = fda6f9d8588e3614f5a68ce867a5619f6ddbb8d64450ff402e1c4f1a08b518f79dca21e5983c207c5b7324c16895a1e9f1282fc6cf60b0645f6b02b652ed5b129e67c939e854ab492dec30ea878c3edde10a4b7d1d14c57100c6cbcc5fc085a0d7308715ed132fb917251919c727487fedb66500d5610b0014a43419acfbb92f
+
+ModExp = 1
+A = 9edfce4691f46eadaa2043c7b1092b831ed50f3429f0bca02f985c0b77c686d951be84d772ae4b55f08935bed6e3206c8441574f215736b5c1c1b7595b3b789b55cf56db83741b10144d6767ba2b97b23a5e83504c60e06ab22834b0145655aa0463108317a379cbfc8a93de8a66925a999b8b02bf88dd85fb9898cefe9c95c8
+E = 0
+M = dcb68f6aa530ae9b31d078e2e82670adcc98228e7cf1aa59f81e66426ef14b1591b833d889463564c75b5fd5551ea295a0da581dd80f62c7008ff0f26a1c9f4f756431d48198af157149be8698336b306b0a8b8635d3fc2c4c2194ecc4d2af31ca1892917cc2e621d702eaaeed0d9a0c3dca575451eb8bc5487e313988cae745
+
+ModExp = 0
+A = 0
+E = a3be10ef04535fca6784e5dbf3733d677dedd50fabbc3a860496628950b4747a328c2ce0d903cbe1e700f0af30f59fb917202257815097a2b516df5d0a82642faeffdfc3b7883766c78fc4be5901ebef891a9ca27f3bcf00960729e659bb3fddd54a19ce628e95ab86e4c7a168588bc9f67b05dd21a583acd8dc36e615945648
+M = dcb68f6aa530ae9b31d078e2e82670adcc98228e7cf1aa59f81e66426ef14b1591b833d889463564c75b5fd5551ea295a0da581dd80f62c7008ff0f26a1c9f4f756431d48198af157149be8698336b306b0a8b8635d3fc2c4c2194ecc4d2af31ca1892917cc2e621d702eaaeed0d9a0c3dca575451eb8bc5487e313988cae745
+
+ModExp = 442866609915aa6f1bae9dfb59e721e1b63f42c0f75fbf0a88344120fbbd7aacf15208fb7c9d8bb8477d553cbd826d7e685ad764a8423e81c2131c040ee83a03cab8d5ce50866a941b48c78e9f1330794d908562d4141cfbf26e8c80c69551339eec41e37e2b37b54330f7bd75748f8d26d56ab9eb3b0c127540484c6445a7fa
+A = 8ff65e2cbcbcd8697cc3ce9a26855d6422ac7eb4e66500648c08be697e005cc3c854a54cfab91d43489cd60be8b516a9b3c9688e5e009a1689c6b164a133859a5464ef422c86344fef42cc477c9df27768377c126a066d1b62f593b7f6d6e906feaee16addb7cfbfc043d741b7dc81a87c17f167b7b8ef1b1fb3dfd1eb14102d
+E = a3be10ef04535fca6784e5dbf3733d677dedd50fabbc3a860496628950b4747a328c2ce0d903cbe1e700f0af30f59fb917202257815097a2b516df5d0a82642faeffdfc3b7883766c78fc4be5901ebef891a9ca27f3bcf00960729e659bb3fddd54a19ce628e95ab86e4c7a168588bc9f67b05dd21a583acd8dc36e615945648
+M = dcb68f6aa530ae9b31d078e2e82670adcc98228e7cf1aa59f81e66426ef14b1591b833d889463564c75b5fd5551ea295a0da581dd80f62c7008ff0f26a1c9f4f756431d48198af157149be8698336b306b0a8b8635d3fc2c4c2194ecc4d2af31ca1892917cc2e621d702eaaeed0d9a0c3dca575451eb8bc5487e313988cae745
+
+ModExp = 1
+A = fe9f77f7d0475e00ec964c0effb9b8e079c32e376ce77a9c40ce4018c3df44a77b4f294d9565502b2b79accb30cb58dda6d15e1543b6d4a53296543ed11c7f51baab60283ef03fae37dfeacb431392487ec2839551a933895c4dbf18844f7b375d3e6f558d3c39993cea1bbf7fb743a6a07bd3753c03eb7298811476d7f3ff1d
+E = 0
+M = e7a96cf6fa930f73c8bdc2726bbba246001a9d27f39cc2b978c99dc6f15af0e8aaf26b565302f1112e607e2df4066948baba931b89cd9bbdea2072e05b9a4968fdf282c43d997987c3a3a0434e925a679ac81f316b7a7b724b79be3d6888b66f4512759bf66cfaaa88b9513dd27a44aaea75437268a014c4eb50ba2e50093511
+
+ModExp = 0
+A = 0
+E = a0bc148ed50a9b54036bb8fa1f214979052ebd47db8b347af3bb03b806bb457b468ba34781f8a25f289a7a90af4903dc14809a166df2f4c3527de2ea6911cb1afb9071a4afbb522a7d50634d66fd584c73f32d05217dc9f7f16394c68a692a953492ca85f89cc11da95fd8cac6231647923ced48a1b3b0ee68c010286d452836
+M = e7a96cf6fa930f73c8bdc2726bbba246001a9d27f39cc2b978c99dc6f15af0e8aaf26b565302f1112e607e2df4066948baba931b89cd9bbdea2072e05b9a4968fdf282c43d997987c3a3a0434e925a679ac81f316b7a7b724b79be3d6888b66f4512759bf66cfaaa88b9513dd27a44aaea75437268a014c4eb50ba2e50093511
+
+ModExp = 91fd879d02f95a9f40fcd1037726f73892caf84e9b43b4aa4126d9062a0d22c464e7af2fbd91aa849612d99d9519b724a7fb1cb018fffdcff321d883ab2519953c9f174f09dd8f13ac87339887385966eb4a94842276637b2c36c0a5036b1d3bbea438bc6efd4b4851c7ec06879d60694df894717569bcd31c4b13d80df6cbca
+A = cdec5edc1cb3ea974342b85aabc0f9385cf877ca328747d40dd4d297623ad69ab6582653faeed5aef225208305135cfbee32e066cb43e18afacea3a32acc8aabbc49617ac33e741651924ae56dd6aa044a12a1ea50fef573b5befb2f4b21b9cf83ab2aaa6fd153580a0761666ade8fb94f202a3c3dc4f33297eabb4564374168
+E = a0bc148ed50a9b54036bb8fa1f214979052ebd47db8b347af3bb03b806bb457b468ba34781f8a25f289a7a90af4903dc14809a166df2f4c3527de2ea6911cb1afb9071a4afbb522a7d50634d66fd584c73f32d05217dc9f7f16394c68a692a953492ca85f89cc11da95fd8cac6231647923ced48a1b3b0ee68c010286d452836
+M = e7a96cf6fa930f73c8bdc2726bbba246001a9d27f39cc2b978c99dc6f15af0e8aaf26b565302f1112e607e2df4066948baba931b89cd9bbdea2072e05b9a4968fdf282c43d997987c3a3a0434e925a679ac81f316b7a7b724b79be3d6888b66f4512759bf66cfaaa88b9513dd27a44aaea75437268a014c4eb50ba2e50093511
+
+# Craft inputs whose Montgomery representation is 1, i.e., shorter than M, in
+# order to test the const time precomputation scattering/gathering.
+
+ModExp = 9442d2eca2905ad796383947b14ddfcc341f5be8fec079135c36f6f0d9b8b2212f43e08bf29c46167ff0fe16b247cd365df4417d96cc31c94db1cf44b73b0ee3ebcc4920d9b0d003b68e49c1df91e61bc7758a8a1d2d6192ff4e1590b1a792f8be3a1b83db3ad9667d14398d873faf5d885ec3a2bef955026fae6dbf64daea2b
+A = 3a4b4c57e62c5e9d1a9065191f8268fed9d5f6f424d071acef66f0662b8210f4c029ed991512e40c9c912043c816d2c4c5b53fa0e5c253e16808aad4225130dafbbb89fd4f30cdfc1c2f2179b636a7ddc4be579795820b4b9377637bd8a21a0ef5a90d0e0f865321eee23d9be2a3b7320b4012d02941b892df2c40bdc85c1898
+E = a2c56ea1362511cac0301918e15a9afe7d37edd438a5c3538d258ea01f0a6df758de07111e868b3ad8fc89b629b4955d78a1b3af902be1806410ddde25ccc6a196ba5949395c1ad5d8725b18815dc1cd5ac1c7dd17773f571e3f2e628255af14476e0494be23a4a4dfd18e23142f33d7a59c236fec61660e360d9676a747c69f
+M = ede35a3a7afac817d413373a2032abbc067b1493f709ae6e1282ee5469743391d891b904938857168802b7872d3cd7ac18ab249a9e540a86f970b1d0f310a4cc29df1cc9d4063d98c554f1a32f4ca5eba3523cdfb142e0fc609907c7a92bb0187009d97ec471db3545f42dd5fd29c07b7816085d09477ba31fcf90084660116d
+
+ModExp = a7f5844fa9e7202d4b70ee252c9846e63d3d091b0387768ded872cec53458e19df0d9b4960226e269b8ca5dd4c4eda423a67b6dbb48235c08c12c6c7c78db47287756d3ed9cecb9232f7d18d5d80b9676cb68ba4a290c97e220beb1a069976b5e6022a4c1e5ddbeec86b62dda24ffea1deda37695c9f61a8817218e6370c0679
+A = 7d6d0cc947ceb949cdc4e9e1044f5deca5bb05a491041e0d85bc4b92a0944a57c72845fad91e59010c61ad1712bd2f612d53a846a044632262a9f2e3373b062fde2484e0c165ff947f2469f743ab6e2e5e13c640fc4029b1c9213eb8473c674e7f9e95a4a5c5636d4656c1e696962340d77b322daba47d6fc894f2a2cd9e0afc
+E = b78012afe806e2344d004c739c97324256850980ac97d88c4ed9a838517639ca112e235978d21a176c33f5a68703aba0f2a05501bbe3fc8d49a000fbf530cdb431581dfaf8683cb15a2aee5e239cbc542827100da3b47babf4a16ca7c588aff9912e674abb449e0b767a15e415f4e7f2bbd6380d7131da3df8d49b13bfd35ce3
+M = b72d5c55bd2998472f1965e75a51be6155c1ba04656da8f66bcb34db36a7b1db66a89d1d05b1bde10206acf85be7b474ab689220faf1bb52ab39d8dc00512dd4e26df1179c11b973e1274db85a88c7cc2a17113abdffe58cb930ddc5f3ccc4d68b4e65c913730509f7ce5656e8bbaba9b1be177ab9f766678f018fea05da9cdf
+
+ModExp = 465ff295786a88496828fdc763e9292d557957544e9322b7996807b87fdbfa7a11614bffeec557ca831c4824c8e4ca3b1a1c7f3f4f95ec3fd6a86b73bb13d78b73af2b3c7e76954d0cc03bcb0cd606867ebb3765a8b3d0108cbe4f343a14016be9c33f6d200f0dc547e7d6b02bfab1e79dcdf9c9835a814cc6c855a12ebeb66d
+A = 89ad02bea3e9ab839a6e23f20122409daba52c68e1e893034b30d321c0305434a6af940015e3fa5ca9c35230da34beeb1ed4fbce6c1da3a8bfe3f3ae172276c1d1723b47ee61e6f8fcfdafad102d6f7ee2a79f510c7edb93096205a40a6c9e665b88b18f39a979e2e61286d939952a6f02fe8148b7515bb25f4252337cb6e60d
+E = cbd6ac628cc7afa3c61bee9c22a06a395087ec1811fe9681b55216700c435996c815e7cec8aaa90016dd2382d0306a5414630124e14f3d396a4ba02ee17851bf720f1607ff813e4bbddf01338983db12f59bd6371a738eee3eeb716f21051d6174d2d6c77602942b9edaac18d4b3a723096c0d00dd23a8a605c585022f311560
+M = fa7a3e40364c8a8d0f14f0213a3f3e035222ca0ea19d46d10ba41580e5dd2805c8a133f3856d7d5d97f922ea540e5eb0d10ad04dfdbb74f518f58da0099a6fc2b3f3def92985176e07fc78aff2faebccca10a429794e5f15ff92f75fe90f527c60ddea8093a9078c703c372ca09f7aeb27ade02f3595308c61dd9c44e62fd101
+
+ModExp = cf08bf00261402102e9fe03f3074471dcf0e9b3c96d4d1503f099f24ec85e1901b023e9e048c1ad042244f5f70b38b25a99f4c0a7b57d5844bb0d0137367f45f4ce2cc7746105b77414768cb97648dc5721149aed2d4c682408cc0d50d26dd0bd77e848911f8625c727cac5f32e63bcb548f41a57d718d772f23983a42f603bd
+A = a419646a6631c2c69b18f7aa65011825eb31692eecaee9d74f92d92203811b68e9764bda31a1585bdf69b6273fc6f9f508c395ac081336506525dad88473512f08a205621ac8b16e9864c7a7c5a4f17435de00d0b32badec6ce4897e3e1076c562b6d9523f63d0b2079eaa416cb090471657763f24931d955d1fa2720c80a9c9
+E = d5a6f4a1842aaee39805356dc8d0d678ee03b2c81277345beccb2742f899132feb43271f95968a01ae68aa8277201851992dc0aa7a71c90aae71b124d873ee264ea400fb131be0fc6c4ce8c04c45f6bdaca89ac743635caf6158983d257e21cef6800d7f990e912ba21bbfb8fb779afa4abd19e07e7e07eee9908493d1ca502c
+M = e739689b6cc6def1d45fb1a2ab551643beeb303f4aaa4da47ee5e4948510f8445b4c40e99ae8354dede60b2ba6694e93bc4d573b7e8adf871b7a9a9636eb7d70f2e49328e2d7978143b177cee8374ef01bd1ee2d95862765883f5e7971668b53ef0ff41b6539faf63c397522b0bdce916388e72e26c8d3d2e58dadeb9eb5d479
+
+ModExp = 827e6312ec3b14600203bb83f5b277ded197b2967363630ef673240df05edd3ba8ab2b11c86251a612206569c6c33952b31e264f129909bfe723bd0ee1624b36cfcfaa893a6ec8b5a1f7de79f83e79b459a3350f89f412ad1cfd6bc4c2a7a29272c783d6ecceeb1398fa17041835643f4debef9b5e87b098d104bb8912dddf7c
+A = b8e49c637829021d32db3a39a0c1e58cdd4c6e4eda7e8e9293be379e9c2e2d184f929d278598a81ae231cfedcf69cce4a6e31cda3c8ac14d753a7311f2436e29795f0dfb60259a0f61a997918ff984aa2284b43a9d64c974059e9682adfffd018305835f74eda8c75fe4877d811c1620f654ec9f7f32d1af5ce59115e2f41785
+E = 80e0febf369d234bf1aaad4f82df2e2ff02882c3184781f6ccdf4f7cd93b6887af86830077c84dfb02109ada05b40970b1c65228b0c19030bd6361c3537fee22a8155c03b4e7007ca006c6daa3659518d05bb81ea0079456d0ef6116df248dffdb0c935f321f5a1034deefd5a9414a0652aa6548de33325b474b9e5a8507a082
+M = d5eb1d14af842a9973274f7463d90cf0ccff19c47d710edbae184478d4f29b02693ed7958bd487054327b9e6d8879e24c9af7730b92f323eeac05558da6c1b952e5dbf13de236050a77628bb5325fe0d14cc5773bf73338759d5ab43c212b414581280f1cee250007e53791b800b61c90de0328acd7bc43fbdda48158939392d
+
+ModExp = 4a1efd29c7e78549f5cd4deed1454b37462c7810ee6a8a2493b764dfa479be13b314cf9ff98259517d61865567ef499a511630c0038c97914625df181c6fe07892f329f98b344a78d751e9471483eebaa7977371bf97bb25187ae7e93a9227d6c124ccb4644423c961a11ae59c4354f89d5a95164c23d9aa256e289e9cc0858e
+A = bd86c9211fa6a47a06e5016c46cb8a99e34a043a29e22f8c3196fa7197c26b38927b8d9bc0ddc11a5fa4bcc44deb69dbf37cbe7ebc9a2fad6c74e09ab5a9dd929fa04ab4319b6caad1035739be78ba631fb0748d9e53944836d37ccda6e6a62823c696d8f31139ccd7f2f86b22fa026ecf433cfb1271a3539ac4f1c83aaac059
+E = c40b9972006d28a84c2769a86e526a2b274f73afc7c5c6a2742166757f61b5f5fdbb228afa157af62af989ffe966f232bba9e6beef5403d1690ade31a6410f7f349a35bc4267a129afd647993df7d45cc0e1a1ba4678d7f1b6e8a344d8ff7037679e1f4db25a454e4246f6b55c416567fcfa188e8a3865115851d9edf0aa8902
+M = cf424d7af75ce7eef90cad75ae55ca8810cc7b4703fdb5bce701e7bac07e0c371cae06df2aa8facb55a0faa6793e4d2bd9d7969703743b9be170be82792aeea55e2bc0f7ab7617b276486bf474dee2f4556aab595ff3ef115139cfe5e21ccd4ee05c0e1cf901bd85df86cc17195a783b0be836d00bee82ce064077f9191188f9
+
+ModExp = 3137a3049fd4ad2e26d870f5c998cf11bfe82101884a82e85e43facd0928cd7434a2e346ca124619769fa141bbe92ad6f36b99231032ddaec3b349a410f82b5ca36f45e56e5fb85dc63d32053dc90805d3f1854ab385281a71a57726bf97158494e7476057214ca7379ab8b70f5bdc15f70bdad3adf33c3a1f9cd1b6bbbad556
+A = 39a1dc6a4c3f14d9c350ee968d5ce139ef725952c967a2d1bedf48ace22091283525be03807e2e263d2640be77f0525247bcd07149bba50568cec5a082c87d72962cf9e43bcb5cdb1e7e9a650fb53e0ec2fad37f09a9f036c0d7dfa528fef846769f80a9a60854910ca1b4ee05dba82ed2ee018348d6b3e52a764b8ffae61e0
+E = deaee3a3f80c9f684ed7110c0653847ccc7be5ff6d982fd4b49f59b5dd35f7210b1077babbcedbc127df35cd469dc6e569a0f84e58149b5605c94b09fd7f0b098d02b4a04631328b3fae39e6c2fce25334225cab71829abdb9507cb903701559660f2c08c3b743336119d1260a0db27054cad3f28bc1b04b2289baa58fb33965
+M = 938388927d06ed3bb1286c0f06d3054cb0ee16dc7a0bbbf13a45293c09a5f40f1d611b2e1a1b0ec2ef109b508e27af4274954905cae52034f8740a744153b4d22059f0dd262ea51785522098ecacced6da07709ee6b5acc8c4e99331379a7c3de7f4e2d1431e43b19570140955b7bcba118dfbaa552cbfa2be531e8f781166ed
+
+ModExp = c15ae334455d9f4d1030cd33e734726a27c63624c2afc576238cce5e0498298a4a0c93090a0d19568b41290303c4b558f3d9dd74f9cde8798710f68569ea0d6fd971ce67ec5b54495031de3d8842b8b49288725bee5c9f72b99054d64986ccd4e18d70d5f33943f08cd694eff538f84438ea993ebaba0910c95b3a694f213510
+A = def633b955a917569df3ba8517455eef0655e7a35985edda27097a063e0d82c7c3a76dc36c5d8a71ba9d540790ddd0ea514aaed98925f9a1808eb288d387aaf9605a9ef8a333ebee7ad7057bca012efd619d5867f02266f65976ef4b16da17468426ac4f99b3e8921707e01b4de20f6f9a068e6a19d872079a27f3a44449db83
+E = a465c47b0d15d48e01bb8b1d8e3b3253e11515f6874dbed6c25818adf1a8fd927124d5593beb367f685c11e46f18415be73ccdf16fa2e93a600b728163d21d232849e5278c3749d903edad3f1c4535a2f55a2ab65e7ebc64888bd2a0527e876ecf38cec3ab1980d08138709fad8eb88ae65d960adc3f0f8e92f784fe96fcb693
+M = e43cb9ac1446154356cdc31ec771c79b0e461e22d95185bbe1a279c0945e3af07903a0cb54d553380716fcdcafb4b7cf5dc6da481dc74a8c583d75ff6c1f8e429182d200246ebc473bb56e173787987c1b7fb2dd23f5b2e438a97bc4a1df628bc044fdd1e80c0cf37030adb7b04784dab827d0dcd64f0dbf37c980612570ce11
+
+ModExp = 75c3f79ab7c991b98e65505342a8a563cfb08b5d3ccf8664c7db1de50256b1d17ebf7096dc98c7bb5d7f027a894ae5cbb14dee04d5d445e775ad7e239acc82673b0ac2d819a69c83864f34e73d9a636f05de8279619a067b4c90ad038db5910447e03841d2034635018f08cbcd21efa00994247763a249082594128112f95232
+A = 34def7d76f6f158a359fd12759fb889cdf6af0a24830dc3e84283a1ab4e9b2647a6a36b86482f829b2cdf3e3d6028f9a884b1f64f7262315446bea8b0231828e2f3d990fb103c17f820b39e4b8427c85643ceeca8f5dc8f191d1255768300e859bd7d88c770319ef38269660d221cb3bc061389b6fc0783485ef042b1c7d6fef
+E = c6c46453dd5aac6b37277a446b1d0c69cbe476eeff55b3ac35edb89ba97116b0e7783660f2c7b31b2a2d6c4709d0ab45d01a838100694b0777c9c9c14c959b07c437c73a5eabb7402f1001e802d797a2e7707285834fb6440a1c2f727f7bb84ddb2a49312d32fa0ce620c43872655cb5c394749c9e75d7fa25be00efe50d47d6
+M = fbbab6698a9142095c46b38a732592e4366c1838b84bf40f8c8fc7b630f73380a0d09765562365798f8c8030ed1b6728329d8bb06e882c35a1d59bfe84146a9db2afe42a414014e247390281c782fce806d62adb54778d2bcb49555459429d6ed446af5359657667f6aa19e8e3e0e24ab2bc312b2d90b5cb1ce6f2f15af15d9d
+
+ModExp = ba16d7f3f6e162ce248490d164a13c00e7720d8a667e2d3ebeb13f1663e15ef5408d5b56cbc7bc793a8ca787cc50f8e15e0e9d4ee764531d04a9114eea556bb3e206ed7d85267151a056b6e68fbf35e03f2cf829708ffe1de13e95ecfe365aff1eea36340ffcd3892dee659fb1ecbe50f5080e54737c10f9c1ba638b14ef537e
+A = 9025e6183706105e948b1b0edf922f9011b9e11887d70adb00b26f272b9e76a38f3099084d9cccf12d04b1a99c0f654f8b9ed90c6dff9478c60bf05d58d734ab60eaefa14a22230ec60c90dc1f0704b61eef0bef345785ae0e6a9af7db069cf6bd2b4e0fe58a0ade83c7e46a04b9fe1d24cb9b65c6f80de713e61d70eae5b286
+E = d7e6df5d755284929b986cd9b61c9c2c8843f24c711fbdbae1a468edcae159400943725570726cdc92b3ea94f9f206729516fdda83e31d815b0c7720e7598a91d992273e3bd8ac413b441d8f1dfe5aa7c3bf3ef573adc38292676217467731e6cf440a59611b8110af88d3e62f60209b513b01fbb69a097458ad02096b5e38f0
+M = e4e784aa1fa88625a43ba0185a153a929663920be7fe674a4d33c943d3b898cff051482e7050a070cede53be5e89f31515772c7aea637576f99f82708f89d9e244f6ad3a24a02cbe5c0ff7bcf2dad5491f53db7c3f2698a7c41b44f086652f17bb05fe4c5c0a92433c34086b49d7e1825b28bab6c5a9bd0bc95b53d659afa0d7