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test: add ellswift test vectors from BIP324

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The test vector input file is taken from:
1. https://github.com/bitcoin/bips/blob/master/bip-0324/xswiftec_inv_test_vectors.csv
2. https://github.com/bitcoin/bips/blob/master/bip-0324/ellswift_decode_test_vectors.csv

Co-authored-by: theStack <sebastian.falbesoner@gmail.com>
This commit is contained in:
stratospher 2023-06-29 23:09:45 +05:30
parent a31287718a
commit 4f4d039a98
3 changed files with 143 additions and 0 deletions
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33
test/functional/test_framework/ellswift.py
View File

@ -7,6 +7,8 @@
WARNING: This code is slow and uses bad randomness.
Do not use for anything but tests."""
import csv
import os
import random
import unittest
@ -128,3 +130,34 @@ class TestFrameworkEllSwift(unittest.TestCase):
shared_secret1 = ellswift_ecdh_xonly(encoding1, privkey2)
shared_secret2 = ellswift_ecdh_xonly(encoding2, privkey1)
self.assertEqual(shared_secret1, shared_secret2)
def test_elligator_encode_testvectors(self):
"""Implement the BIP324 test vectors for ellswift encoding (read from xswiftec_inv_test_vectors.csv)."""
vectors_file = os.path.join(os.path.dirname(os.path.realpath(__file__)), 'xswiftec_inv_test_vectors.csv')
with open(vectors_file, newline='', encoding='utf8') as csvfile:
reader = csv.DictReader(csvfile)
for row in reader:
u = FE.from_bytes(bytes.fromhex(row['u']))
x = FE.from_bytes(bytes.fromhex(row['x']))
for case in range(8):
ret = xswiftec_inv(x, u, case)
if ret is None:
self.assertEqual(row[f"case{case}_t"], "")
else:
self.assertEqual(row[f"case{case}_t"], ret.to_bytes().hex())
self.assertEqual(xswiftec(u, ret), x)
def test_elligator_decode_testvectors(self):
"""Implement the BIP324 test vectors for ellswift decoding (read from ellswift_decode_test_vectors.csv)."""
vectors_file = os.path.join(os.path.dirname(os.path.realpath(__file__)), 'ellswift_decode_test_vectors.csv')
with open(vectors_file, newline='', encoding='utf8') as csvfile:
reader = csv.DictReader(csvfile)
for row in reader:
encoding = bytes.fromhex(row['ellswift'])
assert len(encoding) == 64
expected_x = FE(int(row['x'], 16))
u = FE(int.from_bytes(encoding[:32], 'big'))
t = FE(int.from_bytes(encoding[32:], 'big'))
x = xswiftec(u, t)
self.assertEqual(x, expected_x)
self.assertTrue(GE.is_valid_x(x))

77
test/functional/test_framework/ellswift_decode_test_vectors.csv Normal file
View File

@ -0,0 +1,77 @@
ellswift,x,comment
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c,u%p=0;t%p=0;valid_x(x2)
000000000000000000000000000000000000000000000000000000000000000001d3475bf7655b0fb2d852921035b2ef607f49069b97454e6795251062741771,b5da00b73cd6560520e7c364086e7cd23a34bf60d0e707be9fc34d4cd5fdfa2c,u%p=0;valid_x(x1)
000000000000000000000000000000000000000000000000000000000000000082277c4a71f9d22e66ece523f8fa08741a7c0912c66a69ce68514bfd3515b49f,f482f2e241753ad0fb89150d8491dc1e34ff0b8acfbb442cfe999e2e5e6fd1d2,u%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
00000000000000000000000000000000000000000000000000000000000000008421cc930e77c9f514b6915c3dbe2a94c6d8f690b5b739864ba6789fb8a55dd0,9f59c40275f5085a006f05dae77eb98c6fd0db1ab4a72ac47eae90a4fc9e57e0,u%p=0;valid_x(x2)
0000000000000000000000000000000000000000000000000000000000000000bde70df51939b94c9c24979fa7dd04ebd9b3572da7802290438af2a681895441,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa9fffffd6b,u%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3)
0000000000000000000000000000000000000000000000000000000000000000d19c182d2759cd99824228d94799f8c6557c38a1c0d6779b9d4b729c6f1ccc42,70720db7e238d04121f5b1afd8cc5ad9d18944c6bdc94881f502b7a3af3aecff,u%p=0;valid_x(x3)
0000000000000000000000000000000000000000000000000000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c,u%p=0;t%p=0;valid_x(x2);t>=p
0000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2664bbd5,50873db31badcc71890e4f67753a65757f97aaa7dd5f1e82b753ace32219064b,u%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
0000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff7028de7d,1eea9cc59cfcf2fa151ac6c274eea4110feb4f7b68c5965732e9992e976ef68e,u%p=0;valid_x(x2);t>=p
0000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffcbcfb7e7,12303941aedc208880735b1f1795c8e55be520ea93e103357b5d2adb7ed59b8e,u%p=0;valid_x(x1);t>=p
0000000000000000000000000000000000000000000000000000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffff3113ad9,7eed6b70e7b0767c7d7feac04e57aa2a12fef5e0f48f878fcbb88b3b6b5e0783,u%p=0;valid_x(x3);t>=p
0a2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f8530000000000000000000000000000000000000000000000000000000000000000,532167c11200b08c0e84a354e74dcc40f8b25f4fe686e30869526366278a0688,t%p=0;(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
0a2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f853fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,532167c11200b08c0e84a354e74dcc40f8b25f4fe686e30869526366278a0688,t%p=0;(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
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0ffde9ca81d751e9cdaffc1a50779245320b28996dbaf32f822f20117c22fbd6ffffffffffffffffffffffffffffffffffffffffffffffffffffffff156ca896,377b643fce2271f64e5c8101566107c1be4980745091783804f654781ac9217c,valid_x(x2);t>=p
123658444f32be8f02ea2034afa7ef4bbe8adc918ceb49b12773b625f490b368ffffffffffffffffffffffffffffffffffffffffffffffffffffffff8dc5fe11,ed16d65cf3a9538fcb2c139f1ecbc143ee14827120cbc2659e667256800b8142,(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
146f92464d15d36e35382bd3ca5b0f976c95cb08acdcf2d5b3570617990839d7ffffffffffffffffffffffffffffffffffffffffffffffffffffffff3145e93b,0d5cd840427f941f65193079ab8e2e83024ef2ee7ca558d88879ffd879fb6657,(u'^3+t'^2+7)%p=0;valid_x(x3);t>=p
15fdf5cf09c90759add2272d574d2bb5fe1429f9f3c14c65e3194bf61b82aa73ffffffffffffffffffffffffffffffffffffffffffffffffffffffff04cfd906,16d0e43946aec93f62d57eb8cde68951af136cf4b307938dd1447411e07bffe1,(u'^3+t'^2+7)%p=0;valid_x(x2);t>=p
1f67edf779a8a649d6def60035f2fa22d022dd359079a1a144073d84f19b92d50000000000000000000000000000000000000000000000000000000000000000,025661f9aba9d15c3118456bbe980e3e1b8ba2e047c737a4eb48a040bb566f6c,t%p=0;valid_x(x2)
1f67edf779a8a649d6def60035f2fa22d022dd359079a1a144073d84f19b92d5fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,025661f9aba9d15c3118456bbe980e3e1b8ba2e047c737a4eb48a040bb566f6c,t%p=0;valid_x(x2);t>=p
1fe1e5ef3fceb5c135ab7741333ce5a6e80d68167653f6b2b24bcbcfaaaff507fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,98bec3b2a351fa96cfd191c1778351931b9e9ba9ad1149f6d9eadca80981b801,t%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
4056a34a210eec7892e8820675c860099f857b26aad85470ee6d3cf1304a9dcf375e70374271f20b13c9986ed7d3c17799698cfc435dbed3a9f34b38c823c2b4,868aac2003b29dbcad1a3e803855e078a89d16543ac64392d122417298cec76e,(u'^3-t'^2+7)%p=0;valid_x(x3)
4197ec3723c654cfdd32ab075506648b2ff5070362d01a4fff14b336b78f963fffffffffffffffffffffffffffffffffffffffffffffffffffffffffb3ab1e95,ba5a6314502a8952b8f456e085928105f665377a8ce27726a5b0eb7ec1ac0286,(u'^3+t'^2+7)%p=0;valid_x(x1);t>=p
47eb3e208fedcdf8234c9421e9cd9a7ae873bfbdbc393723d1ba1e1e6a8e6b24ffffffffffffffffffffffffffffffffffffffffffffffffffffffff7cd12cb1,d192d52007e541c9807006ed0468df77fd214af0a795fe119359666fdcf08f7c,(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
5eb9696a2336fe2c3c666b02c755db4c0cfd62825c7b589a7b7bb442e141c1d693413f0052d49e64abec6d5831d66c43612830a17df1fe4383db896468100221,ef6e1da6d6c7627e80f7a7234cb08a022c1ee1cf29e4d0f9642ae924cef9eb38,(u'^3+t'^2+7)%p=0;valid_x(x1)
7bf96b7b6da15d3476a2b195934b690a3a3de3e8ab8474856863b0de3af90b0e0000000000000000000000000000000000000000000000000000000000000000,50851dfc9f418c314a437295b24feeea27af3d0cd2308348fda6e21c463e46ff,t%p=0;valid_x(x1)
7bf96b7b6da15d3476a2b195934b690a3a3de3e8ab8474856863b0de3af90b0efffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,50851dfc9f418c314a437295b24feeea27af3d0cd2308348fda6e21c463e46ff,t%p=0;valid_x(x1);t>=p
851b1ca94549371c4f1f7187321d39bf51c6b7fb61f7cbf027c9da62021b7a65fc54c96837fb22b362eda63ec52ec83d81bedd160c11b22d965d9f4a6d64d251,3e731051e12d33237eb324f2aa5b16bb868eb49a1aa1fadc19b6e8761b5a5f7b,(u'^3+t'^2+7)%p=0;valid_x(x2)
943c2f775108b737fe65a9531e19f2fc2a197f5603e3a2881d1d83e4008f91250000000000000000000000000000000000000000000000000000000000000000,311c61f0ab2f32b7b1f0223fa72f0a78752b8146e46107f8876dd9c4f92b2942,t%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
943c2f775108b737fe65a9531e19f2fc2a197f5603e3a2881d1d83e4008f9125fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,311c61f0ab2f32b7b1f0223fa72f0a78752b8146e46107f8876dd9c4f92b2942,t%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
a0f18492183e61e8063e573606591421b06bc3513631578a73a39c1c3306239f2f32904f0d2a33ecca8a5451705bb537d3bf44e071226025cdbfd249fe0f7ad6,97a09cf1a2eae7c494df3c6f8a9445bfb8c09d60832f9b0b9d5eabe25fbd14b9,valid_x(x1)
a1ed0a0bd79d8a23cfe4ec5fef5ba5cccfd844e4ff5cb4b0f2e71627341f1c5b17c499249e0ac08d5d11ea1c2c8ca7001616559a7994eadec9ca10fb4b8516dc,65a89640744192cdac64b2d21ddf989cdac7500725b645bef8e2200ae39691f2,valid_x(x2)
ba94594a432721aa3580b84c161d0d134bc354b690404d7cd4ec57c16d3fbe98ffffffffffffffffffffffffffffffffffffffffffffffffffffffffea507dd7,5e0d76564aae92cb347e01a62afd389a9aa401c76c8dd227543dc9cd0efe685a,valid_x(x1);t>=p
bcaf7219f2f6fbf55fe5e062dce0e48c18f68103f10b8198e974c184750e1be3932016cbf69c4471bd1f656c6a107f1973de4af7086db897277060e25677f19a,2d97f96cac882dfe73dc44db6ce0f1d31d6241358dd5d74eb3d3b50003d24c2b,valid_x(x3);valid_x(x2);valid_x(x1)
bcaf7219f2f6fbf55fe5e062dce0e48c18f68103f10b8198e974c184750e1be3ffffffffffffffffffffffffffffffffffffffffffffffffffffffff6507d09a,e7008afe6e8cbd5055df120bd748757c686dadb41cce75e4addcc5e02ec02b44,valid_x(x3);valid_x(x2);valid_x(x1);t>=p
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c894ce48bfec433014b931a6ad4226d7dbd8eaa7b6e3faa8d0ef94052bcf8cff336eeb3919e2b4efb746c7f71bbca7e9383230fbbc48ffafe77e8bcc69542471,f1c91acdc2525330f9b53158434a4d43a1c547cff29f15506f5da4eb4fe8fa5a,(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
cbb0deab125754f1fdb2038b0434ed9cb3fb53ab735391129994a535d925f6730000000000000000000000000000000000000000000000000000000000000000,872d81ed8831d9998b67cb7105243edbf86c10edfebb786c110b02d07b2e67cd,t%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
d917b786dac35670c330c9c5ae5971dfb495c8ae523ed97ee2420117b171f41effffffffffffffffffffffffffffffffffffffffffffffffffffffff2001f6f6,e45b71e110b831f2bdad8651994526e58393fde4328b1ec04d59897142584691,valid_x(x3);t>=p
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e28bd8f5929b467eb70e04332374ffb7e7180218ad16eaa46b7161aa679eb426fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,66b8c980a75c72e598d383a35a62879f844242ad1e73ff12edaa59f4e58632b5,t%p=0;valid_x(x3);t>=p
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f292e46825f9225ad23dc057c1d91c4f57fcb1386f29ef10481cb1d22518593fffffffffffffffffffffffffffffffffffffffffffffffffffffffff7011c989,3cea2c53b8b0170166ac7da67194694adacc84d56389225e330134dab85a4d55,(u'^3-t'^2+7)%p=0;valid_x(x3);t>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000000,edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c,u%p=0;t%p=0;valid_x(x2);u>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f01d3475bf7655b0fb2d852921035b2ef607f49069b97454e6795251062741771,b5da00b73cd6560520e7c364086e7cd23a34bf60d0e707be9fc34d4cd5fdfa2c,u%p=0;valid_x(x1);u>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f4218f20ae6c646b363db68605822fb14264ca8d2587fdd6fbc750d587e76a7ee,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa9fffffd6b,u%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3);u>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f82277c4a71f9d22e66ece523f8fa08741a7c0912c66a69ce68514bfd3515b49f,f482f2e241753ad0fb89150d8491dc1e34ff0b8acfbb442cfe999e2e5e6fd1d2,u%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f8421cc930e77c9f514b6915c3dbe2a94c6d8f690b5b739864ba6789fb8a55dd0,9f59c40275f5085a006f05dae77eb98c6fd0db1ab4a72ac47eae90a4fc9e57e0,u%p=0;valid_x(x2);u>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fd19c182d2759cd99824228d94799f8c6557c38a1c0d6779b9d4b729c6f1ccc42,70720db7e238d04121f5b1afd8cc5ad9d18944c6bdc94881f502b7a3af3aecff,u%p=0;valid_x(x3);u>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c,u%p=0;t%p=0;valid_x(x2);u>=p;t>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fffffffffffffffffffffffffffffffffffffffffffffffffffffffff2664bbd5,50873db31badcc71890e4f67753a65757f97aaa7dd5f1e82b753ace32219064b,u%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p;t>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fffffffffffffffffffffffffffffffffffffffffffffffffffffffff7028de7d,1eea9cc59cfcf2fa151ac6c274eea4110feb4f7b68c5965732e9992e976ef68e,u%p=0;valid_x(x2);u>=p;t>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fffffffffffffffffffffffffffffffffffffffffffffffffffffffffcbcfb7e7,12303941aedc208880735b1f1795c8e55be520ea93e103357b5d2adb7ed59b8e,u%p=0;valid_x(x1);u>=p;t>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3113ad9,7eed6b70e7b0767c7d7feac04e57aa2a12fef5e0f48f878fcbb88b3b6b5e0783,u%p=0;valid_x(x3);u>=p;t>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff13cea4a70000000000000000000000000000000000000000000000000000000000000000,649984435b62b4a25d40c6133e8d9ab8c53d4b059ee8a154a3be0fcf4e892edb,t%p=0;valid_x(x1);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff13cea4a7fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,649984435b62b4a25d40c6133e8d9ab8c53d4b059ee8a154a3be0fcf4e892edb,t%p=0;valid_x(x1);u>=p;t>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff15028c590063f64d5a7f1c14915cd61eac886ab295bebd91992504cf77edb028bdd6267f,3fde5713f8282eead7d39d4201f44a7c85a5ac8a0681f35e54085c6b69543374,(u'^3+t'^2+7)%p=0;valid_x(x2);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2715de860000000000000000000000000000000000000000000000000000000000000000,3524f77fa3a6eb4389c3cb5d27f1f91462086429cd6c0cb0df43ea8f1e7b3fb4,t%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2715de86fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,3524f77fa3a6eb4389c3cb5d27f1f91462086429cd6c0cb0df43ea8f1e7b3fb4,t%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p;t>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2c2c5709e7156c417717f2feab147141ec3da19fb759575cc6e37b2ea5ac9309f26f0f66,d2469ab3e04acbb21c65a1809f39caafe7a77c13d10f9dd38f391c01dc499c52,(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff3a08cc1efffffffffffffffffffffffffffffffffffffffffffffffffffffffff760e9f0,38e2a5ce6a93e795e16d2c398bc99f0369202ce21e8f09d56777b40fc512bccc,valid_x(x3);u>=p;t>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff3e91257d932016cbf69c4471bd1f656c6a107f1973de4af7086db897277060e25677f19a,864b3dc902c376709c10a93ad4bbe29fce0012f3dc8672c6286bba28d7d6d6fc,valid_x(x3);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff795d6c1c322cadf599dbb86481522b3cc55f15a67932db2afa0111d9ed6981bcd124bf44,766dfe4a700d9bee288b903ad58870e3d4fe2f0ef780bcac5c823f320d9a9bef,(u'^3+t'^2+7)%p=0;valid_x(x1);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff8e426f0392389078c12b1a89e9542f0593bc96b6bfde8224f8654ef5d5cda935a3582194,faec7bc1987b63233fbc5f956edbf37d54404e7461c58ab8631bc68e451a0478,valid_x(x1);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff91192139ffffffffffffffffffffffffffffffffffffffffffffffffffffffff45f0f1eb,ec29a50bae138dbf7d8e24825006bb5fc1a2cc1243ba335bc6116fb9e498ec1f,valid_x(x2);u>=p;t>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff98eb9ab76e84499c483b3bf06214abfe065dddf43b8601de596d63b9e45a166a580541fe,1e0ff2dee9b09b136292a9e910f0d6ac3e552a644bba39e64e9dd3e3bbd3d4d4,(u'^3-t'^2+7)%p=0;valid_x(x3);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff9b77b7f2c74d99efceaa550f1ad1c0f43f46e7ff1ee3bd0162b7bf55f2965da9c3450646,8b7dd5c3edba9ee97b70eff438f22dca9849c8254a2f3345a0a572ffeaae0928,valid_x(x2);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff9b77b7f2ffffffffffffffffffffffffffffffffffffffffffffffffffffffff156ca896,0881950c8f51d6b9a6387465d5f12609ef1bb25412a08a74cb2dfb200c74bfbf,valid_x(x3);valid_x(x2);valid_x(x1);u>=p;t>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffa2f5cd838816c16c4fe8a1661d606fdb13cf9af04b979a2e159a09409ebc8645d58fde02,2f083207b9fd9b550063c31cd62b8746bd543bdc5bbf10e3a35563e927f440c8,(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffb13f75c00000000000000000000000000000000000000000000000000000000000000000,4f51e0be078e0cddab2742156adba7e7a148e73157072fd618cd60942b146bd0,t%p=0;valid_x(x3);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffb13f75c0fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,4f51e0be078e0cddab2742156adba7e7a148e73157072fd618cd60942b146bd0,t%p=0;valid_x(x3);u>=p;t>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffe7bc1f8d0000000000000000000000000000000000000000000000000000000000000000,16c2ccb54352ff4bd794f6efd613c72197ab7082da5b563bdf9cb3edaafe74c2,t%p=0;valid_x(x2);u>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffe7bc1f8dfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,16c2ccb54352ff4bd794f6efd613c72197ab7082da5b563bdf9cb3edaafe74c2,t%p=0;valid_x(x2);u>=p;t>=p
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffef64d162750546ce42b0431361e52d4f5242d8f24f33e6b1f99b591647cbc808f462af51,d41244d11ca4f65240687759f95ca9efbab767ededb38fd18c36e18cd3b6f6a9,(u'^3+t'^2+7)%p=0;valid_x(x3);u>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffff0e5be52372dd6e894b2a326fc3605a6e8f3c69c710bf27d630dfe2004988b78eb6eab36,64bf84dd5e03670fdb24c0f5d3c2c365736f51db6c92d95010716ad2d36134c8,valid_x(x3);valid_x(x2);valid_x(x1);u>=p
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffefbb982fffffffffffffffffffffffffffffffffffffffffffffffffffffffff6d6db1f,1c92ccdfcf4ac550c28db57cff0c8515cb26936c786584a70114008d6c33a34b,valid_x(x1);u>=p;t>=p
1 ellswift x comment
2 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c u%p=0;t%p=0;valid_x(x2)
3 000000000000000000000000000000000000000000000000000000000000000001d3475bf7655b0fb2d852921035b2ef607f49069b97454e6795251062741771 b5da00b73cd6560520e7c364086e7cd23a34bf60d0e707be9fc34d4cd5fdfa2c u%p=0;valid_x(x1)
4 000000000000000000000000000000000000000000000000000000000000000082277c4a71f9d22e66ece523f8fa08741a7c0912c66a69ce68514bfd3515b49f f482f2e241753ad0fb89150d8491dc1e34ff0b8acfbb442cfe999e2e5e6fd1d2 u%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
5 00000000000000000000000000000000000000000000000000000000000000008421cc930e77c9f514b6915c3dbe2a94c6d8f690b5b739864ba6789fb8a55dd0 9f59c40275f5085a006f05dae77eb98c6fd0db1ab4a72ac47eae90a4fc9e57e0 u%p=0;valid_x(x2)
6 0000000000000000000000000000000000000000000000000000000000000000bde70df51939b94c9c24979fa7dd04ebd9b3572da7802290438af2a681895441 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa9fffffd6b u%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3)
7 0000000000000000000000000000000000000000000000000000000000000000d19c182d2759cd99824228d94799f8c6557c38a1c0d6779b9d4b729c6f1ccc42 70720db7e238d04121f5b1afd8cc5ad9d18944c6bdc94881f502b7a3af3aecff u%p=0;valid_x(x3)
8 0000000000000000000000000000000000000000000000000000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c u%p=0;t%p=0;valid_x(x2);t>=p
9 0000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2664bbd5 50873db31badcc71890e4f67753a65757f97aaa7dd5f1e82b753ace32219064b u%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
10 0000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff7028de7d 1eea9cc59cfcf2fa151ac6c274eea4110feb4f7b68c5965732e9992e976ef68e u%p=0;valid_x(x2);t>=p
11 0000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffcbcfb7e7 12303941aedc208880735b1f1795c8e55be520ea93e103357b5d2adb7ed59b8e u%p=0;valid_x(x1);t>=p
12 0000000000000000000000000000000000000000000000000000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffff3113ad9 7eed6b70e7b0767c7d7feac04e57aa2a12fef5e0f48f878fcbb88b3b6b5e0783 u%p=0;valid_x(x3);t>=p
13 0a2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f8530000000000000000000000000000000000000000000000000000000000000000 532167c11200b08c0e84a354e74dcc40f8b25f4fe686e30869526366278a0688 t%p=0;(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
14 0a2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f853fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f 532167c11200b08c0e84a354e74dcc40f8b25f4fe686e30869526366278a0688 t%p=0;(u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
15 0ffde9ca81d751e9cdaffc1a50779245320b28996dbaf32f822f20117c22fbd6c74d99efceaa550f1ad1c0f43f46e7ff1ee3bd0162b7bf55f2965da9c3450646 74e880b3ffd18fe3cddf7902522551ddf97fa4a35a3cfda8197f947081a57b8f valid_x(x3)
16 0ffde9ca81d751e9cdaffc1a50779245320b28996dbaf32f822f20117c22fbd6ffffffffffffffffffffffffffffffffffffffffffffffffffffffff156ca896 377b643fce2271f64e5c8101566107c1be4980745091783804f654781ac9217c valid_x(x2);t>=p
17 123658444f32be8f02ea2034afa7ef4bbe8adc918ceb49b12773b625f490b368ffffffffffffffffffffffffffffffffffffffffffffffffffffffff8dc5fe11 ed16d65cf3a9538fcb2c139f1ecbc143ee14827120cbc2659e667256800b8142 (u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
18 146f92464d15d36e35382bd3ca5b0f976c95cb08acdcf2d5b3570617990839d7ffffffffffffffffffffffffffffffffffffffffffffffffffffffff3145e93b 0d5cd840427f941f65193079ab8e2e83024ef2ee7ca558d88879ffd879fb6657 (u'^3+t'^2+7)%p=0;valid_x(x3);t>=p
19 15fdf5cf09c90759add2272d574d2bb5fe1429f9f3c14c65e3194bf61b82aa73ffffffffffffffffffffffffffffffffffffffffffffffffffffffff04cfd906 16d0e43946aec93f62d57eb8cde68951af136cf4b307938dd1447411e07bffe1 (u'^3+t'^2+7)%p=0;valid_x(x2);t>=p
20 1f67edf779a8a649d6def60035f2fa22d022dd359079a1a144073d84f19b92d50000000000000000000000000000000000000000000000000000000000000000 025661f9aba9d15c3118456bbe980e3e1b8ba2e047c737a4eb48a040bb566f6c t%p=0;valid_x(x2)
21 1f67edf779a8a649d6def60035f2fa22d022dd359079a1a144073d84f19b92d5fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f 025661f9aba9d15c3118456bbe980e3e1b8ba2e047c737a4eb48a040bb566f6c t%p=0;valid_x(x2);t>=p
22 1fe1e5ef3fceb5c135ab7741333ce5a6e80d68167653f6b2b24bcbcfaaaff507fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f 98bec3b2a351fa96cfd191c1778351931b9e9ba9ad1149f6d9eadca80981b801 t%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
23 4056a34a210eec7892e8820675c860099f857b26aad85470ee6d3cf1304a9dcf375e70374271f20b13c9986ed7d3c17799698cfc435dbed3a9f34b38c823c2b4 868aac2003b29dbcad1a3e803855e078a89d16543ac64392d122417298cec76e (u'^3-t'^2+7)%p=0;valid_x(x3)
24 4197ec3723c654cfdd32ab075506648b2ff5070362d01a4fff14b336b78f963fffffffffffffffffffffffffffffffffffffffffffffffffffffffffb3ab1e95 ba5a6314502a8952b8f456e085928105f665377a8ce27726a5b0eb7ec1ac0286 (u'^3+t'^2+7)%p=0;valid_x(x1);t>=p
25 47eb3e208fedcdf8234c9421e9cd9a7ae873bfbdbc393723d1ba1e1e6a8e6b24ffffffffffffffffffffffffffffffffffffffffffffffffffffffff7cd12cb1 d192d52007e541c9807006ed0468df77fd214af0a795fe119359666fdcf08f7c (u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
26 5eb9696a2336fe2c3c666b02c755db4c0cfd62825c7b589a7b7bb442e141c1d693413f0052d49e64abec6d5831d66c43612830a17df1fe4383db896468100221 ef6e1da6d6c7627e80f7a7234cb08a022c1ee1cf29e4d0f9642ae924cef9eb38 (u'^3+t'^2+7)%p=0;valid_x(x1)
27 7bf96b7b6da15d3476a2b195934b690a3a3de3e8ab8474856863b0de3af90b0e0000000000000000000000000000000000000000000000000000000000000000 50851dfc9f418c314a437295b24feeea27af3d0cd2308348fda6e21c463e46ff t%p=0;valid_x(x1)
28 7bf96b7b6da15d3476a2b195934b690a3a3de3e8ab8474856863b0de3af90b0efffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f 50851dfc9f418c314a437295b24feeea27af3d0cd2308348fda6e21c463e46ff t%p=0;valid_x(x1);t>=p
29 851b1ca94549371c4f1f7187321d39bf51c6b7fb61f7cbf027c9da62021b7a65fc54c96837fb22b362eda63ec52ec83d81bedd160c11b22d965d9f4a6d64d251 3e731051e12d33237eb324f2aa5b16bb868eb49a1aa1fadc19b6e8761b5a5f7b (u'^3+t'^2+7)%p=0;valid_x(x2)
30 943c2f775108b737fe65a9531e19f2fc2a197f5603e3a2881d1d83e4008f91250000000000000000000000000000000000000000000000000000000000000000 311c61f0ab2f32b7b1f0223fa72f0a78752b8146e46107f8876dd9c4f92b2942 t%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
31 943c2f775108b737fe65a9531e19f2fc2a197f5603e3a2881d1d83e4008f9125fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f 311c61f0ab2f32b7b1f0223fa72f0a78752b8146e46107f8876dd9c4f92b2942 t%p=0;valid_x(x3);valid_x(x2);valid_x(x1);t>=p
32 a0f18492183e61e8063e573606591421b06bc3513631578a73a39c1c3306239f2f32904f0d2a33ecca8a5451705bb537d3bf44e071226025cdbfd249fe0f7ad6 97a09cf1a2eae7c494df3c6f8a9445bfb8c09d60832f9b0b9d5eabe25fbd14b9 valid_x(x1)
33 a1ed0a0bd79d8a23cfe4ec5fef5ba5cccfd844e4ff5cb4b0f2e71627341f1c5b17c499249e0ac08d5d11ea1c2c8ca7001616559a7994eadec9ca10fb4b8516dc 65a89640744192cdac64b2d21ddf989cdac7500725b645bef8e2200ae39691f2 valid_x(x2)
34 ba94594a432721aa3580b84c161d0d134bc354b690404d7cd4ec57c16d3fbe98ffffffffffffffffffffffffffffffffffffffffffffffffffffffffea507dd7 5e0d76564aae92cb347e01a62afd389a9aa401c76c8dd227543dc9cd0efe685a valid_x(x1);t>=p
35 bcaf7219f2f6fbf55fe5e062dce0e48c18f68103f10b8198e974c184750e1be3932016cbf69c4471bd1f656c6a107f1973de4af7086db897277060e25677f19a 2d97f96cac882dfe73dc44db6ce0f1d31d6241358dd5d74eb3d3b50003d24c2b valid_x(x3);valid_x(x2);valid_x(x1)
36 bcaf7219f2f6fbf55fe5e062dce0e48c18f68103f10b8198e974c184750e1be3ffffffffffffffffffffffffffffffffffffffffffffffffffffffff6507d09a e7008afe6e8cbd5055df120bd748757c686dadb41cce75e4addcc5e02ec02b44 valid_x(x3);valid_x(x2);valid_x(x1);t>=p
37 c5981bae27fd84401c72a155e5707fbb811b2b620645d1028ea270cbe0ee225d4b62aa4dca6506c1acdbecc0552569b4b21436a5692e25d90d3bc2eb7ce24078 948b40e7181713bc018ec1702d3d054d15746c59a7020730dd13ecf985a010d7 (u'^3+t'^2+7)%p=0;valid_x(x3)
38 c894ce48bfec433014b931a6ad4226d7dbd8eaa7b6e3faa8d0ef94052bcf8cff336eeb3919e2b4efb746c7f71bbca7e9383230fbbc48ffafe77e8bcc69542471 f1c91acdc2525330f9b53158434a4d43a1c547cff29f15506f5da4eb4fe8fa5a (u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
39 cbb0deab125754f1fdb2038b0434ed9cb3fb53ab735391129994a535d925f6730000000000000000000000000000000000000000000000000000000000000000 872d81ed8831d9998b67cb7105243edbf86c10edfebb786c110b02d07b2e67cd t%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
40 d917b786dac35670c330c9c5ae5971dfb495c8ae523ed97ee2420117b171f41effffffffffffffffffffffffffffffffffffffffffffffffffffffff2001f6f6 e45b71e110b831f2bdad8651994526e58393fde4328b1ec04d59897142584691 valid_x(x3);t>=p
41 e28bd8f5929b467eb70e04332374ffb7e7180218ad16eaa46b7161aa679eb4260000000000000000000000000000000000000000000000000000000000000000 66b8c980a75c72e598d383a35a62879f844242ad1e73ff12edaa59f4e58632b5 t%p=0;valid_x(x3)
42 e28bd8f5929b467eb70e04332374ffb7e7180218ad16eaa46b7161aa679eb426fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f 66b8c980a75c72e598d383a35a62879f844242ad1e73ff12edaa59f4e58632b5 t%p=0;valid_x(x3);t>=p
43 e7ee5814c1706bf8a89396a9b032bc014c2cac9c121127dbf6c99278f8bb53d1dfd04dbcda8e352466b6fcd5f2dea3e17d5e133115886eda20db8a12b54de71b e842c6e3529b234270a5e97744edc34a04d7ba94e44b6d2523c9cf0195730a50 (u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1)
44 f292e46825f9225ad23dc057c1d91c4f57fcb1386f29ef10481cb1d22518593fffffffffffffffffffffffffffffffffffffffffffffffffffffffff7011c989 3cea2c53b8b0170166ac7da67194694adacc84d56389225e330134dab85a4d55 (u'^3-t'^2+7)%p=0;valid_x(x3);t>=p
45 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000000 edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c u%p=0;t%p=0;valid_x(x2);u>=p
46 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f01d3475bf7655b0fb2d852921035b2ef607f49069b97454e6795251062741771 b5da00b73cd6560520e7c364086e7cd23a34bf60d0e707be9fc34d4cd5fdfa2c u%p=0;valid_x(x1);u>=p
47 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f4218f20ae6c646b363db68605822fb14264ca8d2587fdd6fbc750d587e76a7ee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa9fffffd6b u%p=0;(u'^3-t'^2+7)%p=0;valid_x(x3);u>=p
48 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f82277c4a71f9d22e66ece523f8fa08741a7c0912c66a69ce68514bfd3515b49f f482f2e241753ad0fb89150d8491dc1e34ff0b8acfbb442cfe999e2e5e6fd1d2 u%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p
49 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f8421cc930e77c9f514b6915c3dbe2a94c6d8f690b5b739864ba6789fb8a55dd0 9f59c40275f5085a006f05dae77eb98c6fd0db1ab4a72ac47eae90a4fc9e57e0 u%p=0;valid_x(x2);u>=p
50 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fd19c182d2759cd99824228d94799f8c6557c38a1c0d6779b9d4b729c6f1ccc42 70720db7e238d04121f5b1afd8cc5ad9d18944c6bdc94881f502b7a3af3aecff u%p=0;valid_x(x3);u>=p
51 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f edd1fd3e327ce90cc7a3542614289aee9682003e9cf7dcc9cf2ca9743be5aa0c u%p=0;t%p=0;valid_x(x2);u>=p;t>=p
52 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fffffffffffffffffffffffffffffffffffffffffffffffffffffffff2664bbd5 50873db31badcc71890e4f67753a65757f97aaa7dd5f1e82b753ace32219064b u%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p;t>=p
53 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fffffffffffffffffffffffffffffffffffffffffffffffffffffffff7028de7d 1eea9cc59cfcf2fa151ac6c274eea4110feb4f7b68c5965732e9992e976ef68e u%p=0;valid_x(x2);u>=p;t>=p
54 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2fffffffffffffffffffffffffffffffffffffffffffffffffffffffffcbcfb7e7 12303941aedc208880735b1f1795c8e55be520ea93e103357b5d2adb7ed59b8e u%p=0;valid_x(x1);u>=p;t>=p
55 fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3113ad9 7eed6b70e7b0767c7d7feac04e57aa2a12fef5e0f48f878fcbb88b3b6b5e0783 u%p=0;valid_x(x3);u>=p;t>=p
56 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff13cea4a70000000000000000000000000000000000000000000000000000000000000000 649984435b62b4a25d40c6133e8d9ab8c53d4b059ee8a154a3be0fcf4e892edb t%p=0;valid_x(x1);u>=p
57 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff13cea4a7fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f 649984435b62b4a25d40c6133e8d9ab8c53d4b059ee8a154a3be0fcf4e892edb t%p=0;valid_x(x1);u>=p;t>=p
58 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff15028c590063f64d5a7f1c14915cd61eac886ab295bebd91992504cf77edb028bdd6267f 3fde5713f8282eead7d39d4201f44a7c85a5ac8a0681f35e54085c6b69543374 (u'^3+t'^2+7)%p=0;valid_x(x2);u>=p
59 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2715de860000000000000000000000000000000000000000000000000000000000000000 3524f77fa3a6eb4389c3cb5d27f1f91462086429cd6c0cb0df43ea8f1e7b3fb4 t%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p
60 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2715de86fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f 3524f77fa3a6eb4389c3cb5d27f1f91462086429cd6c0cb0df43ea8f1e7b3fb4 t%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p;t>=p
61 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff2c2c5709e7156c417717f2feab147141ec3da19fb759575cc6e37b2ea5ac9309f26f0f66 d2469ab3e04acbb21c65a1809f39caafe7a77c13d10f9dd38f391c01dc499c52 (u'^3-t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p
62 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff3a08cc1efffffffffffffffffffffffffffffffffffffffffffffffffffffffff760e9f0 38e2a5ce6a93e795e16d2c398bc99f0369202ce21e8f09d56777b40fc512bccc valid_x(x3);u>=p;t>=p
63 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff3e91257d932016cbf69c4471bd1f656c6a107f1973de4af7086db897277060e25677f19a 864b3dc902c376709c10a93ad4bbe29fce0012f3dc8672c6286bba28d7d6d6fc valid_x(x3);u>=p
64 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff795d6c1c322cadf599dbb86481522b3cc55f15a67932db2afa0111d9ed6981bcd124bf44 766dfe4a700d9bee288b903ad58870e3d4fe2f0ef780bcac5c823f320d9a9bef (u'^3+t'^2+7)%p=0;valid_x(x1);u>=p
65 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff8e426f0392389078c12b1a89e9542f0593bc96b6bfde8224f8654ef5d5cda935a3582194 faec7bc1987b63233fbc5f956edbf37d54404e7461c58ab8631bc68e451a0478 valid_x(x1);u>=p
66 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff91192139ffffffffffffffffffffffffffffffffffffffffffffffffffffffff45f0f1eb ec29a50bae138dbf7d8e24825006bb5fc1a2cc1243ba335bc6116fb9e498ec1f valid_x(x2);u>=p;t>=p
67 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff98eb9ab76e84499c483b3bf06214abfe065dddf43b8601de596d63b9e45a166a580541fe 1e0ff2dee9b09b136292a9e910f0d6ac3e552a644bba39e64e9dd3e3bbd3d4d4 (u'^3-t'^2+7)%p=0;valid_x(x3);u>=p
68 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff9b77b7f2c74d99efceaa550f1ad1c0f43f46e7ff1ee3bd0162b7bf55f2965da9c3450646 8b7dd5c3edba9ee97b70eff438f22dca9849c8254a2f3345a0a572ffeaae0928 valid_x(x2);u>=p
69 ffffffffffffffffffffffffffffffffffffffffffffffffffffffff9b77b7f2ffffffffffffffffffffffffffffffffffffffffffffffffffffffff156ca896 0881950c8f51d6b9a6387465d5f12609ef1bb25412a08a74cb2dfb200c74bfbf valid_x(x3);valid_x(x2);valid_x(x1);u>=p;t>=p
70 ffffffffffffffffffffffffffffffffffffffffffffffffffffffffa2f5cd838816c16c4fe8a1661d606fdb13cf9af04b979a2e159a09409ebc8645d58fde02 2f083207b9fd9b550063c31cd62b8746bd543bdc5bbf10e3a35563e927f440c8 (u'^3+t'^2+7)%p=0;valid_x(x3);valid_x(x2);valid_x(x1);u>=p
71 ffffffffffffffffffffffffffffffffffffffffffffffffffffffffb13f75c00000000000000000000000000000000000000000000000000000000000000000 4f51e0be078e0cddab2742156adba7e7a148e73157072fd618cd60942b146bd0 t%p=0;valid_x(x3);u>=p
72 ffffffffffffffffffffffffffffffffffffffffffffffffffffffffb13f75c0fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f 4f51e0be078e0cddab2742156adba7e7a148e73157072fd618cd60942b146bd0 t%p=0;valid_x(x3);u>=p;t>=p
73 ffffffffffffffffffffffffffffffffffffffffffffffffffffffffe7bc1f8d0000000000000000000000000000000000000000000000000000000000000000 16c2ccb54352ff4bd794f6efd613c72197ab7082da5b563bdf9cb3edaafe74c2 t%p=0;valid_x(x2);u>=p
74 ffffffffffffffffffffffffffffffffffffffffffffffffffffffffe7bc1f8dfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f 16c2ccb54352ff4bd794f6efd613c72197ab7082da5b563bdf9cb3edaafe74c2 t%p=0;valid_x(x2);u>=p;t>=p
75 ffffffffffffffffffffffffffffffffffffffffffffffffffffffffef64d162750546ce42b0431361e52d4f5242d8f24f33e6b1f99b591647cbc808f462af51 d41244d11ca4f65240687759f95ca9efbab767ededb38fd18c36e18cd3b6f6a9 (u'^3+t'^2+7)%p=0;valid_x(x3);u>=p
76 fffffffffffffffffffffffffffffffffffffffffffffffffffffffff0e5be52372dd6e894b2a326fc3605a6e8f3c69c710bf27d630dfe2004988b78eb6eab36 64bf84dd5e03670fdb24c0f5d3c2c365736f51db6c92d95010716ad2d36134c8 valid_x(x3);valid_x(x2);valid_x(x1);u>=p
77 fffffffffffffffffffffffffffffffffffffffffffffffffffffffffefbb982fffffffffffffffffffffffffffffffffffffffffffffffffffffffff6d6db1f 1c92ccdfcf4ac550c28db57cff0c8515cb26936c786584a70114008d6c33a34b valid_x(x1);u>=p;t>=p

33
test/functional/test_framework/xswiftec_inv_test_vectors.csv Normal file
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@ -0,0 +1,33 @@
u,x,case0_t,case1_t,case2_t,case3_t,case4_t,case5_t,case6_t,case7_t,comment
05ff6bdad900fc3261bc7fe34e2fb0f569f06e091ae437d3a52e9da0cbfb9590,80cdf63774ec7022c89a5a8558e373a279170285e0ab27412dbce510bdfe23fc,,,45654798ece071ba79286d04f7f3eb1c3f1d17dd883610f2ad2efd82a287466b,0aeaa886f6b76c7158452418cbf5033adc5747e9e9b5d3b2303db96936528557,,,ba9ab867131f8e4586d792fb080c14e3c0e2e82277c9ef0d52d1027c5d78b5c4,f51557790948938ea7badbe7340afcc523a8b816164a2c4dcfc24695c9ad76d8,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:info[v=0]&ok;case3:ok;case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:info[v=0]&ok;case7:ok
1737a85f4c8d146cec96e3ffdca76d9903dcf3bd53061868d478c78c63c2aa9e,39e48dd150d2f429be088dfd5b61882e7e8407483702ae9a5ab35927b15f85ea,1be8cc0b04be0c681d0c6a68f733f82c6c896e0c8a262fcd392918e303a7abf4,605b5814bf9b8cb066667c9e5480d22dc5b6c92f14b4af3ee0a9eb83b03685e3,,,e41733f4fb41f397e2f3959708cc07d3937691f375d9d032c6d6e71bfc58503b,9fa4a7eb4064734f99998361ab7f2dd23a4936d0eb4b50c11f56147b4fc9764c,,,case0:ok;case1:ok;case2:info[v=0]&bad[non_square(s)];case3:bad[non_square(s)];case4:ok;case5:ok;case6:info[v=0]&bad[non_square(s)];case7:bad[non_square(s)]
1aaa1ccebf9c724191033df366b36f691c4d902c228033ff4516d122b2564f68,c75541259d3ba98f207eaa30c69634d187d0b6da594e719e420f4898638fc5b0,,,,,,,,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[non_square(q)];case3:bad[non_square(q)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[non_square(q)];case7:bad[non_square(q)]
2323a1d079b0fd72fc8bb62ec34230a815cb0596c2bfac998bd6b84260f5dc26,239342dfb675500a34a196310b8d87d54f49dcac9da50c1743ceab41a7b249ff,f63580b8aa49c4846de56e39e1b3e73f171e881eba8c66f614e67e5c975dfc07,b6307b332e699f1cf77841d90af25365404deb7fed5edb3090db49e642a156b6,,,09ca7f4755b63b7b921a91c61e4c18c0e8e177e145739909eb1981a268a20028,49cf84ccd19660e30887be26f50dac9abfb2148012a124cf6f24b618bd5ea579,,,case0:ok;case1:ok;case2:bad[non_square(q)];case3:bad[non_square(q)];case4:ok;case5:ok;case6:bad[non_square(q)];case7:bad[non_square(q)]
2dc90e640cb646ae9164c0b5a9ef0169febe34dc4437d6e46acb0e27e219d1e8,d236f19bf349b9516e9b3f4a5610fe960141cb23bbc8291b9534f1d71de62a47,e69df7d9c026c36600ebdf588072675847c0c431c8eb730682533e964b6252c9,4f18bbdf7c2d6c5f818c18802fa35cd069eaa79fff74e4fc837c80d93fece2f8,,,196208263fd93c99ff1420a77f8d98a7b83f3bce37148cf97dacc168b49da966,b0e7442083d293a07e73e77fd05ca32f96155860008b1b037c837f25c0131937,,,case0:ok;case1:info[v=0]&ok;case2:bad[non_square(q)];case3:bad[non_square(q)];case4:ok;case5:info[v=0]&ok;case6:bad[non_square(q)];case7:bad[non_square(q)]
3edd7b3980e2f2f34d1409a207069f881fda5f96f08027ac4465b63dc278d672,053a98de4a27b1961155822b3a3121f03b2a14458bd80eb4a560c4c7a85c149c,,,b3dae4b7dcf858e4c6968057cef2b156465431526538199cf52dc1b2d62fda30,4aa77dd55d6b6d3cfa10cc9d0fe42f79232e4575661049ae36779c1d0c666d88,,,4c251b482307a71b39697fa8310d4ea9b9abcead9ac7e6630ad23e4c29d021ff,b558822aa29492c305ef3362f01bd086dcd1ba8a99efb651c98863e1f3998ea7,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:ok;case3:ok;case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:ok;case7:ok
4295737efcb1da6fb1d96b9ca7dcd1e320024b37a736c4948b62598173069f70,fa7ffe4f25f88362831c087afe2e8a9b0713e2cac1ddca6a383205a266f14307,,,,,,,,,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:bad[non_square(s)];case3:bad[non_square(s)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:bad[non_square(s)];case7:bad[non_square(s)]
587c1a0cee91939e7f784d23b963004a3bf44f5d4e32a0081995ba20b0fca59e,2ea988530715e8d10363907ff25124524d471ba2454d5ce3be3f04194dfd3a3c,cfd5a094aa0b9b8891b76c6ab9438f66aa1c095a65f9f70135e8171292245e74,a89057d7c6563f0d6efa19ae84412b8a7b47e791a191ecdfdf2af84fd97bc339,475d0ae9ef46920df07b34117be5a0817de1023e3cc32689e9be145b406b0aef,a0759178ad80232454f827ef05ea3e72ad8d75418e6d4cc1cd4f5306c5e7c453,302a5f6b55f464776e48939546bc709955e3f6a59a0608feca17e8ec6ddb9dbb,576fa82839a9c0f29105e6517bbed47584b8186e5e6e132020d507af268438f6,b8a2f51610b96df20f84cbee841a5f7e821efdc1c33cd9761641eba3bf94f140,5f8a6e87527fdcdbab07d810fa15c18d52728abe7192b33e32b0acf83a1837dc,case0:ok;case1:ok;case2:ok;case3:ok;case4:ok;case5:ok;case6:ok;case7:ok
5fa88b3365a635cbbcee003cce9ef51dd1a310de277e441abccdb7be1e4ba249,79461ff62bfcbcac4249ba84dd040f2cec3c63f725204dc7f464c16bf0ff3170,,,6bb700e1f4d7e236e8d193ff4a76c1b3bcd4e2b25acac3d51c8dac653fe909a0,f4c73410633da7f63a4f1d55aec6dd32c4c6d89ee74075edb5515ed90da9e683,,,9448ff1e0b281dc9172e6c00b5893e4c432b1d4da5353c2ae3725399c016f28f,0b38cbef9cc25809c5b0e2aa513922cd3b39276118bf8a124aaea125f25615ac,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:ok;case3:info[v=0]&ok;case4:bad[non_square(s)];case5:bad[non_square(s)];case6:ok;case7:info[v=0]&ok
6fb31c7531f03130b42b155b952779efbb46087dd9807d241a48eac63c3d96d6,56f81be753e8d4ae4940ea6f46f6ec9fda66a6f96cc95f506cb2b57490e94260,,,59059774795bdb7a837fbe1140a5fa59984f48af8df95d57dd6d1c05437dcec1,22a644db79376ad4e7b3a009e58b3f13137c54fdf911122cc93667c47077d784,,,a6fa688b86a424857c8041eebf5a05a667b0b7507206a2a82292e3f9bc822d6e,dd59bb2486c8952b184c5ff61a74c0ecec83ab0206eeedd336c9983a8f8824ab,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:ok;case3:info[v=0]&ok;case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:ok;case7:info[v=0]&ok
704cd226e71cb6826a590e80dac90f2d2f5830f0fdf135a3eae3965bff25ff12,138e0afa68936ee670bd2b8db53aedbb7bea2a8597388b24d0518edd22ad66ec,,,,,,,,,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:bad[non_square(q)];case3:bad[non_square(q)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:bad[non_square(q)];case7:bad[non_square(q)]
725e914792cb8c8949e7e1168b7cdd8a8094c91c6ec2202ccd53a6a18771edeb,8da16eb86d347376b6181ee9748322757f6b36e3913ddfd332ac595d788e0e44,dd357786b9f6873330391aa5625809654e43116e82a5a5d82ffd1d6624101fc4,a0b7efca01814594c59c9aae8e49700186ca5d95e88bcc80399044d9c2d8613d,,,22ca8879460978cccfc6e55a9da7f69ab1bcee917d5a5a27d002e298dbefdc6b,5f481035fe7eba6b3a63655171b68ffe7935a26a1774337fc66fbb253d279af2,,,case0:ok;case1:info[v=0]&ok;case2:bad[non_square(s)];case3:bad[non_square(s)];case4:ok;case5:info[v=0]&ok;case6:bad[non_square(s)];case7:bad[non_square(s)]
78fe6b717f2ea4a32708d79c151bf503a5312a18c0963437e865cc6ed3f6ae97,8701948e80d15b5cd8f72863eae40afc5aced5e73f69cbc8179a33902c094d98,,,,,,,,,case0:bad[non_square(s)];case1:info[v=0]&bad[non_square(s)];case2:bad[non_square(q)];case3:bad[non_square(q)];case4:bad[non_square(s)];case5:info[v=0]&bad[non_square(s)];case6:bad[non_square(q)];case7:bad[non_square(q)]
7c37bb9c5061dc07413f11acd5a34006e64c5c457fdb9a438f217255a961f50d,5c1a76b44568eb59d6789a7442d9ed7cdc6226b7752b4ff8eaf8e1a95736e507,,,b94d30cd7dbff60b64620c17ca0fafaa40b3d1f52d077a60a2e0cafd145086c2,,,,46b2cf32824009f49b9df3e835f05055bf4c2e0ad2f8859f5d1f3501ebaf756d,,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:info[q=0]&info[X=0]&ok;case3:info[q=0]&bad[r=0];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:info[q=0]&info[X=0]&ok;case7:info[q=0]&bad[r=0]
82388888967f82a6b444438a7d44838e13c0d478b9ca060da95a41fb94303de6,29e9654170628fec8b4972898b113cf98807f4609274f4f3140d0674157c90a0,,,,,,,,,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:bad[non_square(s)];case3:info[v=0]&bad[non_square(s)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:bad[non_square(s)];case7:info[v=0]&bad[non_square(s)]
91298f5770af7a27f0a47188d24c3b7bf98ab2990d84b0b898507e3c561d6472,144f4ccbd9a74698a88cbf6fd00ad886d339d29ea19448f2c572cac0a07d5562,e6a0ffa3807f09dadbe71e0f4be4725f2832e76cad8dc1d943ce839375eff248,837b8e68d4917544764ad0903cb11f8615d2823cefbb06d89049dbabc69befda,,,195f005c7f80f6252418e1f0b41b8da0d7cd189352723e26bc317c6b8a1009e7,7c8471972b6e8abb89b52f6fc34ee079ea2d7dc31044f9276fb6245339640c55,,,case0:ok;case1:ok;case2:bad[non_square(s)];case3:info[v=0]&bad[non_square(s)];case4:ok;case5:ok;case6:bad[non_square(s)];case7:info[v=0]&bad[non_square(s)]
b682f3d03bbb5dee4f54b5ebfba931b4f52f6a191e5c2f483c73c66e9ace97e1,904717bf0bc0cb7873fcdc38aa97f19e3a62630972acff92b24cc6dda197cb96,,,,,,,,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[non_square(s)];case3:bad[non_square(s)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[non_square(s)];case7:bad[non_square(s)]
c17ec69e665f0fb0dbab48d9c2f94d12ec8a9d7eacb58084833091801eb0b80b,147756e66d96e31c426d3cc85ed0c4cfbef6341dd8b285585aa574ea0204b55e,6f4aea431a0043bdd03134d6d9159119ce034b88c32e50e8e36c4ee45eac7ae9,fd5be16d4ffa2690126c67c3ef7cb9d29b74d397c78b06b3605fda34dc9696a6,5e9c60792a2f000e45c6250f296f875e174efc0e9703e628706103a9dd2d82c7,,90b515bce5ffbc422fcecb2926ea6ee631fcb4773cd1af171c93b11aa1538146,02a41e92b005d96fed93983c1083462d648b2c683874f94c9fa025ca23696589,a1639f86d5d0fff1ba39daf0d69078a1e8b103f168fc19d78f9efc5522d27968,,case0:ok;case1:ok;case2:info[q=0]&info[X=0]&ok;case3:info[q=0]&bad[r=0];case4:ok;case5:ok;case6:info[q=0]&info[X=0]&ok;case7:info[q=0]&bad[r=0]
c25172fc3f29b6fc4a1155b8575233155486b27464b74b8b260b499a3f53cb14,1ea9cbdb35cf6e0329aa31b0bb0a702a65123ed008655a93b7dcd5280e52e1ab,,,7422edc7843136af0053bb8854448a8299994f9ddcefd3a9a92d45462c59298a,78c7774a266f8b97ea23d05d064f033c77319f923f6b78bce4e20bf05fa5398d,,,8bdd12387bcec950ffac4477abbb757d6666b06223102c5656d2bab8d3a6d2a5,873888b5d990746815dc2fa2f9b0fcc388ce606dc09487431b1df40ea05ac2a2,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:ok;case3:ok;case4:bad[non_square(s)];case5:bad[non_square(s)];case6:ok;case7:ok
cab6626f832a4b1280ba7add2fc5322ff011caededf7ff4db6735d5026dc0367,2b2bef0852c6f7c95d72ac99a23802b875029cd573b248d1f1b3fc8033788eb6,,,,,,,,,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:info[v=0]&bad[non_square(s)];case3:bad[non_square(s)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:info[v=0]&bad[non_square(s)];case7:bad[non_square(s)]
d8621b4ffc85b9ed56e99d8dd1dd24aedcecb14763b861a17112dc771a104fd2,812cabe972a22aa67c7da0c94d8a936296eb9949d70c37cb2b2487574cb3ce58,fbc5febc6fdbc9ae3eb88a93b982196e8b6275a6d5a73c17387e000c711bd0e3,8724c96bd4e5527f2dd195a51c468d2d211ba2fac7cbe0b4b3434253409fb42d,,,043a014390243651c147756c467de691749d8a592a58c3e8c781fff28ee42b4c,78db36942b1aad80d22e6a5ae3b972d2dee45d0538341f4b4cbcbdabbf604802,,,case0:ok;case1:ok;case2:bad[non_square(s)];case3:bad[non_square(s)];case4:ok;case5:ok;case6:bad[non_square(s)];case7:bad[non_square(s)]
da463164c6f4bf7129ee5f0ec00f65a675a8adf1bd931b39b64806afdcda9a22,25b9ce9b390b408ed611a0f13ff09a598a57520e426ce4c649b7f94f2325620d,,,,,,,,,case0:bad[non_square(s)];case1:info[v=0]&bad[non_square(s)];case2:bad[non_square(s)];case3:bad[non_square(s)];case4:bad[non_square(s)];case5:info[v=0]&bad[non_square(s)];case6:bad[non_square(s)];case7:bad[non_square(s)]
dafc971e4a3a7b6dcfb42a08d9692d82ad9e7838523fcbda1d4827e14481ae2d,250368e1b5c58492304bd5f72696d27d526187c7adc03425e2b7d81dbb7e4e02,,,370c28f1be665efacde6aa436bf86fe21e6e314c1e53dd040e6c73a46b4c8c49,cd8acee98ffe56531a84d7eb3e48fa4034206ce825ace907d0edf0eaeb5e9ca2,,,c8f3d70e4199a105321955bc9407901de191ceb3e1ac22fbf1938c5a94b36fe6,327531167001a9ace57b2814c1b705bfcbdf9317da5316f82f120f1414a15f8d,case0:bad[non_square(s)];case1:info[v=0]&bad[non_square(s)];case2:ok;case3:ok;case4:bad[non_square(s)];case5:info[v=0]&bad[non_square(s)];case6:ok;case7:ok
e0294c8bc1a36b4166ee92bfa70a5c34976fa9829405efea8f9cd54dcb29b99e,ae9690d13b8d20a0fbbf37bed8474f67a04e142f56efd78770a76b359165d8a1,,,dcd45d935613916af167b029058ba3a700d37150b9df34728cb05412c16d4182,,,,232ba26ca9ec6e950e984fd6fa745c58ff2c8eaf4620cb8d734fabec3e92baad,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:info[q=0]&info[X=0]&ok;case3:info[q=0]&bad[r=0];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:info[q=0]&info[X=0]&ok;case7:info[q=0]&bad[r=0]
e148441cd7b92b8b0e4fa3bd68712cfd0d709ad198cace611493c10e97f5394e,164a639794d74c53afc4d3294e79cdb3cd25f99f6df45c000f758aba54d699c0,,,,,,,,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[non_square(s)];case3:info[v=0]&bad[non_square(s)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[non_square(s)];case7:info[v=0]&bad[non_square(s)]
e4b00ec97aadcca97644d3b0c8a931b14ce7bcf7bc8779546d6e35aa5937381c,94e9588d41647b3fcc772dc8d83c67ce3be003538517c834103d2cd49d62ef4d,c88d25f41407376bb2c03a7fffeb3ec7811cc43491a0c3aac0378cdc78357bee,51c02636ce00c2345ecd89adb6089fe4d5e18ac924e3145e6669501cd37a00d4,205b3512db40521cb200952e67b46f67e09e7839e0de44004138329ebd9138c5,58aab390ab6fb55c1d1b80897a207ce94a78fa5b4aa61a33398bcae9adb20d3e,3772da0bebf8c8944d3fc5800014c1387ee33bcb6e5f3c553fc8732287ca8041,ae3fd9c931ff3dcba132765249f7601b2a1e7536db1ceba19996afe22c85fb5b,dfa4caed24bfade34dff6ad1984b90981f6187c61f21bbffbec7cd60426ec36a,a7554c6f54904aa3e2e47f7685df8316b58705a4b559e5ccc6743515524deef1,case0:ok;case1:ok;case2:ok;case3:info[v=0]&ok;case4:ok;case5:ok;case6:ok;case7:info[v=0]&ok
e5bbb9ef360d0a501618f0067d36dceb75f5be9a620232aa9fd5139d0863fde5,e5bbb9ef360d0a501618f0067d36dceb75f5be9a620232aa9fd5139d0863fde5,,,,,,,,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[s=0];case3:bad[s=0];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[s=0];case7:bad[s=0]
e6bcb5c3d63467d490bfa54fbbc6092a7248c25e11b248dc2964a6e15edb1457,19434a3c29cb982b6f405ab04439f6d58db73da1ee4db723d69b591da124e7d8,67119877832ab8f459a821656d8261f544a553b89ae4f25c52a97134b70f3426,ffee02f5e649c07f0560eff1867ec7b32d0e595e9b1c0ea6e2a4fc70c97cd71f,b5e0c189eb5b4bacd025b7444d74178be8d5246cfa4a9a207964a057ee969992,5746e4591bf7f4c3044609ea372e908603975d279fdef8349f0b08d32f07619d,98ee67887cd5470ba657de9a927d9e0abb5aac47651b0da3ad568eca48f0c809,0011fd0a19b63f80fa9f100e7981384cd2f1a6a164e3f1591d5b038e36832510,4a1f3e7614a4b4532fda48bbb28be874172adb9305b565df869b5fa71169629d,a8b91ba6e4080b3cfbb9f615c8d16f79fc68a2d8602107cb60f4f72bd0f89a92,case0:ok;case1:info[v=0]&ok;case2:ok;case3:ok;case4:ok;case5:info[v=0]&ok;case6:ok;case7:ok
f28fba64af766845eb2f4302456e2b9f8d80affe57e7aae42738d7cddb1c2ce6,f28fba64af766845eb2f4302456e2b9f8d80affe57e7aae42738d7cddb1c2ce6,4f867ad8bb3d840409d26b67307e62100153273f72fa4b7484becfa14ebe7408,5bbc4f59e452cc5f22a99144b10ce8989a89a995ec3cea1c91ae10e8f721bb5d,,,b079852744c27bfbf62d9498cf819deffeacd8c08d05b48b7b41305db1418827,a443b0a61bad33a0dd566ebb4ef317676576566a13c315e36e51ef1608de40d2,,,case0:ok;case1:ok;case2:bad[s=0];case3:bad[s=0];case4:ok;case5:ok;case6:bad[s=0];case7:bad[s=0]
f455605bc85bf48e3a908c31023faf98381504c6c6d3aeb9ede55f8dd528924d,d31fbcd5cdb798f6c00db6692f8fe8967fa9c79dd10958f4a194f01374905e99,,,0c00c5715b56fe632d814ad8a77f8e66628ea47a6116834f8c1218f3a03cbd50,df88e44fac84fa52df4d59f48819f18f6a8cd4151d162afaf773166f57c7ff46,,,f3ff3a8ea4a9019cd27eb527588071999d715b859ee97cb073ede70b5fc33edf,20771bb0537b05ad20b2a60b77e60e7095732beae2e9d505088ce98fa837fce9,case0:bad[non_square(s)];case1:bad[non_square(s)];case2:info[v=0]&ok;case3:ok;case4:bad[non_square(s)];case5:bad[non_square(s)];case6:info[v=0]&ok;case7:ok
f58cd4d9830bad322699035e8246007d4be27e19b6f53621317b4f309b3daa9d,78ec2b3dc0948de560148bbc7c6dc9633ad5df70a5a5750cbed721804f082a3b,6c4c580b76c7594043569f9dae16dc2801c16a1fbe12860881b75f8ef929bce5,94231355e7385c5f25ca436aa64191471aea4393d6e86ab7a35fe2afacaefd0d,dff2a1951ada6db574df834048149da3397a75b829abf58c7e69db1b41ac0989,a52b66d3c907035548028bf804711bf422aba95f1a666fc86f4648e05f29caae,93b3a7f48938a6bfbca9606251e923d7fe3e95e041ed79f77e48a07006d63f4a,6bdcecaa18c7a3a0da35bc9559be6eb8e515bc6c291795485ca01d4f5350ff22,200d5e6ae525924a8b207cbfb7eb625cc6858a47d6540a73819624e3be53f2a6,5ad4992c36f8fcaab7fd7407fb8ee40bdd5456a0e599903790b9b71ea0d63181,case0:ok;case1:ok;case2:info[v=0]&ok;case3:ok;case4:ok;case5:ok;case6:info[v=0]&ok;case7:ok
fd7d912a40f182a3588800d69ebfb5048766da206fd7ebc8d2436c81cbef6421,8d37c862054debe731694536ff46b273ec122b35a9bf1445ac3c4ff9f262c952,,,,,,,,,case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:info[v=0]&bad[non_square(s)];case3:bad[non_square(s)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:info[v=0]&bad[non_square(s)];case7:bad[non_square(s)]
1 u x case0_t case1_t case2_t case3_t case4_t case5_t case6_t case7_t comment
2 05ff6bdad900fc3261bc7fe34e2fb0f569f06e091ae437d3a52e9da0cbfb9590 80cdf63774ec7022c89a5a8558e373a279170285e0ab27412dbce510bdfe23fc 45654798ece071ba79286d04f7f3eb1c3f1d17dd883610f2ad2efd82a287466b 0aeaa886f6b76c7158452418cbf5033adc5747e9e9b5d3b2303db96936528557 ba9ab867131f8e4586d792fb080c14e3c0e2e82277c9ef0d52d1027c5d78b5c4 f51557790948938ea7badbe7340afcc523a8b816164a2c4dcfc24695c9ad76d8 case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:info[v=0]&ok;case3:ok;case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:info[v=0]&ok;case7:ok
3 1737a85f4c8d146cec96e3ffdca76d9903dcf3bd53061868d478c78c63c2aa9e 39e48dd150d2f429be088dfd5b61882e7e8407483702ae9a5ab35927b15f85ea 1be8cc0b04be0c681d0c6a68f733f82c6c896e0c8a262fcd392918e303a7abf4 605b5814bf9b8cb066667c9e5480d22dc5b6c92f14b4af3ee0a9eb83b03685e3 e41733f4fb41f397e2f3959708cc07d3937691f375d9d032c6d6e71bfc58503b 9fa4a7eb4064734f99998361ab7f2dd23a4936d0eb4b50c11f56147b4fc9764c case0:ok;case1:ok;case2:info[v=0]&bad[non_square(s)];case3:bad[non_square(s)];case4:ok;case5:ok;case6:info[v=0]&bad[non_square(s)];case7:bad[non_square(s)]
4 1aaa1ccebf9c724191033df366b36f691c4d902c228033ff4516d122b2564f68 c75541259d3ba98f207eaa30c69634d187d0b6da594e719e420f4898638fc5b0 case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[non_square(q)];case3:bad[non_square(q)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[non_square(q)];case7:bad[non_square(q)]
5 2323a1d079b0fd72fc8bb62ec34230a815cb0596c2bfac998bd6b84260f5dc26 239342dfb675500a34a196310b8d87d54f49dcac9da50c1743ceab41a7b249ff f63580b8aa49c4846de56e39e1b3e73f171e881eba8c66f614e67e5c975dfc07 b6307b332e699f1cf77841d90af25365404deb7fed5edb3090db49e642a156b6 09ca7f4755b63b7b921a91c61e4c18c0e8e177e145739909eb1981a268a20028 49cf84ccd19660e30887be26f50dac9abfb2148012a124cf6f24b618bd5ea579 case0:ok;case1:ok;case2:bad[non_square(q)];case3:bad[non_square(q)];case4:ok;case5:ok;case6:bad[non_square(q)];case7:bad[non_square(q)]
6 2dc90e640cb646ae9164c0b5a9ef0169febe34dc4437d6e46acb0e27e219d1e8 d236f19bf349b9516e9b3f4a5610fe960141cb23bbc8291b9534f1d71de62a47 e69df7d9c026c36600ebdf588072675847c0c431c8eb730682533e964b6252c9 4f18bbdf7c2d6c5f818c18802fa35cd069eaa79fff74e4fc837c80d93fece2f8 196208263fd93c99ff1420a77f8d98a7b83f3bce37148cf97dacc168b49da966 b0e7442083d293a07e73e77fd05ca32f96155860008b1b037c837f25c0131937 case0:ok;case1:info[v=0]&ok;case2:bad[non_square(q)];case3:bad[non_square(q)];case4:ok;case5:info[v=0]&ok;case6:bad[non_square(q)];case7:bad[non_square(q)]
7 3edd7b3980e2f2f34d1409a207069f881fda5f96f08027ac4465b63dc278d672 053a98de4a27b1961155822b3a3121f03b2a14458bd80eb4a560c4c7a85c149c b3dae4b7dcf858e4c6968057cef2b156465431526538199cf52dc1b2d62fda30 4aa77dd55d6b6d3cfa10cc9d0fe42f79232e4575661049ae36779c1d0c666d88 4c251b482307a71b39697fa8310d4ea9b9abcead9ac7e6630ad23e4c29d021ff b558822aa29492c305ef3362f01bd086dcd1ba8a99efb651c98863e1f3998ea7 case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:ok;case3:ok;case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:ok;case7:ok
8 4295737efcb1da6fb1d96b9ca7dcd1e320024b37a736c4948b62598173069f70 fa7ffe4f25f88362831c087afe2e8a9b0713e2cac1ddca6a383205a266f14307 case0:bad[non_square(s)];case1:bad[non_square(s)];case2:bad[non_square(s)];case3:bad[non_square(s)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:bad[non_square(s)];case7:bad[non_square(s)]
9 587c1a0cee91939e7f784d23b963004a3bf44f5d4e32a0081995ba20b0fca59e 2ea988530715e8d10363907ff25124524d471ba2454d5ce3be3f04194dfd3a3c cfd5a094aa0b9b8891b76c6ab9438f66aa1c095a65f9f70135e8171292245e74 a89057d7c6563f0d6efa19ae84412b8a7b47e791a191ecdfdf2af84fd97bc339 475d0ae9ef46920df07b34117be5a0817de1023e3cc32689e9be145b406b0aef a0759178ad80232454f827ef05ea3e72ad8d75418e6d4cc1cd4f5306c5e7c453 302a5f6b55f464776e48939546bc709955e3f6a59a0608feca17e8ec6ddb9dbb 576fa82839a9c0f29105e6517bbed47584b8186e5e6e132020d507af268438f6 b8a2f51610b96df20f84cbee841a5f7e821efdc1c33cd9761641eba3bf94f140 5f8a6e87527fdcdbab07d810fa15c18d52728abe7192b33e32b0acf83a1837dc case0:ok;case1:ok;case2:ok;case3:ok;case4:ok;case5:ok;case6:ok;case7:ok
10 5fa88b3365a635cbbcee003cce9ef51dd1a310de277e441abccdb7be1e4ba249 79461ff62bfcbcac4249ba84dd040f2cec3c63f725204dc7f464c16bf0ff3170 6bb700e1f4d7e236e8d193ff4a76c1b3bcd4e2b25acac3d51c8dac653fe909a0 f4c73410633da7f63a4f1d55aec6dd32c4c6d89ee74075edb5515ed90da9e683 9448ff1e0b281dc9172e6c00b5893e4c432b1d4da5353c2ae3725399c016f28f 0b38cbef9cc25809c5b0e2aa513922cd3b39276118bf8a124aaea125f25615ac case0:bad[non_square(s)];case1:bad[non_square(s)];case2:ok;case3:info[v=0]&ok;case4:bad[non_square(s)];case5:bad[non_square(s)];case6:ok;case7:info[v=0]&ok
11 6fb31c7531f03130b42b155b952779efbb46087dd9807d241a48eac63c3d96d6 56f81be753e8d4ae4940ea6f46f6ec9fda66a6f96cc95f506cb2b57490e94260 59059774795bdb7a837fbe1140a5fa59984f48af8df95d57dd6d1c05437dcec1 22a644db79376ad4e7b3a009e58b3f13137c54fdf911122cc93667c47077d784 a6fa688b86a424857c8041eebf5a05a667b0b7507206a2a82292e3f9bc822d6e dd59bb2486c8952b184c5ff61a74c0ecec83ab0206eeedd336c9983a8f8824ab case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:ok;case3:info[v=0]&ok;case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:ok;case7:info[v=0]&ok
12 704cd226e71cb6826a590e80dac90f2d2f5830f0fdf135a3eae3965bff25ff12 138e0afa68936ee670bd2b8db53aedbb7bea2a8597388b24d0518edd22ad66ec case0:bad[non_square(s)];case1:bad[non_square(s)];case2:bad[non_square(q)];case3:bad[non_square(q)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:bad[non_square(q)];case7:bad[non_square(q)]
13 725e914792cb8c8949e7e1168b7cdd8a8094c91c6ec2202ccd53a6a18771edeb 8da16eb86d347376b6181ee9748322757f6b36e3913ddfd332ac595d788e0e44 dd357786b9f6873330391aa5625809654e43116e82a5a5d82ffd1d6624101fc4 a0b7efca01814594c59c9aae8e49700186ca5d95e88bcc80399044d9c2d8613d 22ca8879460978cccfc6e55a9da7f69ab1bcee917d5a5a27d002e298dbefdc6b 5f481035fe7eba6b3a63655171b68ffe7935a26a1774337fc66fbb253d279af2 case0:ok;case1:info[v=0]&ok;case2:bad[non_square(s)];case3:bad[non_square(s)];case4:ok;case5:info[v=0]&ok;case6:bad[non_square(s)];case7:bad[non_square(s)]
14 78fe6b717f2ea4a32708d79c151bf503a5312a18c0963437e865cc6ed3f6ae97 8701948e80d15b5cd8f72863eae40afc5aced5e73f69cbc8179a33902c094d98 case0:bad[non_square(s)];case1:info[v=0]&bad[non_square(s)];case2:bad[non_square(q)];case3:bad[non_square(q)];case4:bad[non_square(s)];case5:info[v=0]&bad[non_square(s)];case6:bad[non_square(q)];case7:bad[non_square(q)]
15 7c37bb9c5061dc07413f11acd5a34006e64c5c457fdb9a438f217255a961f50d 5c1a76b44568eb59d6789a7442d9ed7cdc6226b7752b4ff8eaf8e1a95736e507 b94d30cd7dbff60b64620c17ca0fafaa40b3d1f52d077a60a2e0cafd145086c2 46b2cf32824009f49b9df3e835f05055bf4c2e0ad2f8859f5d1f3501ebaf756d case0:bad[non_square(s)];case1:bad[non_square(s)];case2:info[q=0]&info[X=0]&ok;case3:info[q=0]&bad[r=0];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:info[q=0]&info[X=0]&ok;case7:info[q=0]&bad[r=0]
16 82388888967f82a6b444438a7d44838e13c0d478b9ca060da95a41fb94303de6 29e9654170628fec8b4972898b113cf98807f4609274f4f3140d0674157c90a0 case0:bad[non_square(s)];case1:bad[non_square(s)];case2:bad[non_square(s)];case3:info[v=0]&bad[non_square(s)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:bad[non_square(s)];case7:info[v=0]&bad[non_square(s)]
17 91298f5770af7a27f0a47188d24c3b7bf98ab2990d84b0b898507e3c561d6472 144f4ccbd9a74698a88cbf6fd00ad886d339d29ea19448f2c572cac0a07d5562 e6a0ffa3807f09dadbe71e0f4be4725f2832e76cad8dc1d943ce839375eff248 837b8e68d4917544764ad0903cb11f8615d2823cefbb06d89049dbabc69befda 195f005c7f80f6252418e1f0b41b8da0d7cd189352723e26bc317c6b8a1009e7 7c8471972b6e8abb89b52f6fc34ee079ea2d7dc31044f9276fb6245339640c55 case0:ok;case1:ok;case2:bad[non_square(s)];case3:info[v=0]&bad[non_square(s)];case4:ok;case5:ok;case6:bad[non_square(s)];case7:info[v=0]&bad[non_square(s)]
18 b682f3d03bbb5dee4f54b5ebfba931b4f52f6a191e5c2f483c73c66e9ace97e1 904717bf0bc0cb7873fcdc38aa97f19e3a62630972acff92b24cc6dda197cb96 case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[non_square(s)];case3:bad[non_square(s)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[non_square(s)];case7:bad[non_square(s)]
19 c17ec69e665f0fb0dbab48d9c2f94d12ec8a9d7eacb58084833091801eb0b80b 147756e66d96e31c426d3cc85ed0c4cfbef6341dd8b285585aa574ea0204b55e 6f4aea431a0043bdd03134d6d9159119ce034b88c32e50e8e36c4ee45eac7ae9 fd5be16d4ffa2690126c67c3ef7cb9d29b74d397c78b06b3605fda34dc9696a6 5e9c60792a2f000e45c6250f296f875e174efc0e9703e628706103a9dd2d82c7 90b515bce5ffbc422fcecb2926ea6ee631fcb4773cd1af171c93b11aa1538146 02a41e92b005d96fed93983c1083462d648b2c683874f94c9fa025ca23696589 a1639f86d5d0fff1ba39daf0d69078a1e8b103f168fc19d78f9efc5522d27968 case0:ok;case1:ok;case2:info[q=0]&info[X=0]&ok;case3:info[q=0]&bad[r=0];case4:ok;case5:ok;case6:info[q=0]&info[X=0]&ok;case7:info[q=0]&bad[r=0]
20 c25172fc3f29b6fc4a1155b8575233155486b27464b74b8b260b499a3f53cb14 1ea9cbdb35cf6e0329aa31b0bb0a702a65123ed008655a93b7dcd5280e52e1ab 7422edc7843136af0053bb8854448a8299994f9ddcefd3a9a92d45462c59298a 78c7774a266f8b97ea23d05d064f033c77319f923f6b78bce4e20bf05fa5398d 8bdd12387bcec950ffac4477abbb757d6666b06223102c5656d2bab8d3a6d2a5 873888b5d990746815dc2fa2f9b0fcc388ce606dc09487431b1df40ea05ac2a2 case0:bad[non_square(s)];case1:bad[non_square(s)];case2:ok;case3:ok;case4:bad[non_square(s)];case5:bad[non_square(s)];case6:ok;case7:ok
21 cab6626f832a4b1280ba7add2fc5322ff011caededf7ff4db6735d5026dc0367 2b2bef0852c6f7c95d72ac99a23802b875029cd573b248d1f1b3fc8033788eb6 case0:bad[non_square(s)];case1:bad[non_square(s)];case2:info[v=0]&bad[non_square(s)];case3:bad[non_square(s)];case4:bad[non_square(s)];case5:bad[non_square(s)];case6:info[v=0]&bad[non_square(s)];case7:bad[non_square(s)]
22 d8621b4ffc85b9ed56e99d8dd1dd24aedcecb14763b861a17112dc771a104fd2 812cabe972a22aa67c7da0c94d8a936296eb9949d70c37cb2b2487574cb3ce58 fbc5febc6fdbc9ae3eb88a93b982196e8b6275a6d5a73c17387e000c711bd0e3 8724c96bd4e5527f2dd195a51c468d2d211ba2fac7cbe0b4b3434253409fb42d 043a014390243651c147756c467de691749d8a592a58c3e8c781fff28ee42b4c 78db36942b1aad80d22e6a5ae3b972d2dee45d0538341f4b4cbcbdabbf604802 case0:ok;case1:ok;case2:bad[non_square(s)];case3:bad[non_square(s)];case4:ok;case5:ok;case6:bad[non_square(s)];case7:bad[non_square(s)]
23 da463164c6f4bf7129ee5f0ec00f65a675a8adf1bd931b39b64806afdcda9a22 25b9ce9b390b408ed611a0f13ff09a598a57520e426ce4c649b7f94f2325620d case0:bad[non_square(s)];case1:info[v=0]&bad[non_square(s)];case2:bad[non_square(s)];case3:bad[non_square(s)];case4:bad[non_square(s)];case5:info[v=0]&bad[non_square(s)];case6:bad[non_square(s)];case7:bad[non_square(s)]
24 dafc971e4a3a7b6dcfb42a08d9692d82ad9e7838523fcbda1d4827e14481ae2d 250368e1b5c58492304bd5f72696d27d526187c7adc03425e2b7d81dbb7e4e02 370c28f1be665efacde6aa436bf86fe21e6e314c1e53dd040e6c73a46b4c8c49 cd8acee98ffe56531a84d7eb3e48fa4034206ce825ace907d0edf0eaeb5e9ca2 c8f3d70e4199a105321955bc9407901de191ceb3e1ac22fbf1938c5a94b36fe6 327531167001a9ace57b2814c1b705bfcbdf9317da5316f82f120f1414a15f8d case0:bad[non_square(s)];case1:info[v=0]&bad[non_square(s)];case2:ok;case3:ok;case4:bad[non_square(s)];case5:info[v=0]&bad[non_square(s)];case6:ok;case7:ok
25 e0294c8bc1a36b4166ee92bfa70a5c34976fa9829405efea8f9cd54dcb29b99e ae9690d13b8d20a0fbbf37bed8474f67a04e142f56efd78770a76b359165d8a1 dcd45d935613916af167b029058ba3a700d37150b9df34728cb05412c16d4182 232ba26ca9ec6e950e984fd6fa745c58ff2c8eaf4620cb8d734fabec3e92baad case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:info[q=0]&info[X=0]&ok;case3:info[q=0]&bad[r=0];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:info[q=0]&info[X=0]&ok;case7:info[q=0]&bad[r=0]
26 e148441cd7b92b8b0e4fa3bd68712cfd0d709ad198cace611493c10e97f5394e 164a639794d74c53afc4d3294e79cdb3cd25f99f6df45c000f758aba54d699c0 case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[non_square(s)];case3:info[v=0]&bad[non_square(s)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[non_square(s)];case7:info[v=0]&bad[non_square(s)]
27 e4b00ec97aadcca97644d3b0c8a931b14ce7bcf7bc8779546d6e35aa5937381c 94e9588d41647b3fcc772dc8d83c67ce3be003538517c834103d2cd49d62ef4d c88d25f41407376bb2c03a7fffeb3ec7811cc43491a0c3aac0378cdc78357bee 51c02636ce00c2345ecd89adb6089fe4d5e18ac924e3145e6669501cd37a00d4 205b3512db40521cb200952e67b46f67e09e7839e0de44004138329ebd9138c5 58aab390ab6fb55c1d1b80897a207ce94a78fa5b4aa61a33398bcae9adb20d3e 3772da0bebf8c8944d3fc5800014c1387ee33bcb6e5f3c553fc8732287ca8041 ae3fd9c931ff3dcba132765249f7601b2a1e7536db1ceba19996afe22c85fb5b dfa4caed24bfade34dff6ad1984b90981f6187c61f21bbffbec7cd60426ec36a a7554c6f54904aa3e2e47f7685df8316b58705a4b559e5ccc6743515524deef1 case0:ok;case1:ok;case2:ok;case3:info[v=0]&ok;case4:ok;case5:ok;case6:ok;case7:info[v=0]&ok
28 e5bbb9ef360d0a501618f0067d36dceb75f5be9a620232aa9fd5139d0863fde5 e5bbb9ef360d0a501618f0067d36dceb75f5be9a620232aa9fd5139d0863fde5 case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:bad[s=0];case3:bad[s=0];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:bad[s=0];case7:bad[s=0]
29 e6bcb5c3d63467d490bfa54fbbc6092a7248c25e11b248dc2964a6e15edb1457 19434a3c29cb982b6f405ab04439f6d58db73da1ee4db723d69b591da124e7d8 67119877832ab8f459a821656d8261f544a553b89ae4f25c52a97134b70f3426 ffee02f5e649c07f0560eff1867ec7b32d0e595e9b1c0ea6e2a4fc70c97cd71f b5e0c189eb5b4bacd025b7444d74178be8d5246cfa4a9a207964a057ee969992 5746e4591bf7f4c3044609ea372e908603975d279fdef8349f0b08d32f07619d 98ee67887cd5470ba657de9a927d9e0abb5aac47651b0da3ad568eca48f0c809 0011fd0a19b63f80fa9f100e7981384cd2f1a6a164e3f1591d5b038e36832510 4a1f3e7614a4b4532fda48bbb28be874172adb9305b565df869b5fa71169629d a8b91ba6e4080b3cfbb9f615c8d16f79fc68a2d8602107cb60f4f72bd0f89a92 case0:ok;case1:info[v=0]&ok;case2:ok;case3:ok;case4:ok;case5:info[v=0]&ok;case6:ok;case7:ok
30 f28fba64af766845eb2f4302456e2b9f8d80affe57e7aae42738d7cddb1c2ce6 f28fba64af766845eb2f4302456e2b9f8d80affe57e7aae42738d7cddb1c2ce6 4f867ad8bb3d840409d26b67307e62100153273f72fa4b7484becfa14ebe7408 5bbc4f59e452cc5f22a99144b10ce8989a89a995ec3cea1c91ae10e8f721bb5d b079852744c27bfbf62d9498cf819deffeacd8c08d05b48b7b41305db1418827 a443b0a61bad33a0dd566ebb4ef317676576566a13c315e36e51ef1608de40d2 case0:ok;case1:ok;case2:bad[s=0];case3:bad[s=0];case4:ok;case5:ok;case6:bad[s=0];case7:bad[s=0]
31 f455605bc85bf48e3a908c31023faf98381504c6c6d3aeb9ede55f8dd528924d d31fbcd5cdb798f6c00db6692f8fe8967fa9c79dd10958f4a194f01374905e99 0c00c5715b56fe632d814ad8a77f8e66628ea47a6116834f8c1218f3a03cbd50 df88e44fac84fa52df4d59f48819f18f6a8cd4151d162afaf773166f57c7ff46 f3ff3a8ea4a9019cd27eb527588071999d715b859ee97cb073ede70b5fc33edf 20771bb0537b05ad20b2a60b77e60e7095732beae2e9d505088ce98fa837fce9 case0:bad[non_square(s)];case1:bad[non_square(s)];case2:info[v=0]&ok;case3:ok;case4:bad[non_square(s)];case5:bad[non_square(s)];case6:info[v=0]&ok;case7:ok
32 f58cd4d9830bad322699035e8246007d4be27e19b6f53621317b4f309b3daa9d 78ec2b3dc0948de560148bbc7c6dc9633ad5df70a5a5750cbed721804f082a3b 6c4c580b76c7594043569f9dae16dc2801c16a1fbe12860881b75f8ef929bce5 94231355e7385c5f25ca436aa64191471aea4393d6e86ab7a35fe2afacaefd0d dff2a1951ada6db574df834048149da3397a75b829abf58c7e69db1b41ac0989 a52b66d3c907035548028bf804711bf422aba95f1a666fc86f4648e05f29caae 93b3a7f48938a6bfbca9606251e923d7fe3e95e041ed79f77e48a07006d63f4a 6bdcecaa18c7a3a0da35bc9559be6eb8e515bc6c291795485ca01d4f5350ff22 200d5e6ae525924a8b207cbfb7eb625cc6858a47d6540a73819624e3be53f2a6 5ad4992c36f8fcaab7fd7407fb8ee40bdd5456a0e599903790b9b71ea0d63181 case0:ok;case1:ok;case2:info[v=0]&ok;case3:ok;case4:ok;case5:ok;case6:info[v=0]&ok;case7:ok
33 fd7d912a40f182a3588800d69ebfb5048766da206fd7ebc8d2436c81cbef6421 8d37c862054debe731694536ff46b273ec122b35a9bf1445ac3c4ff9f262c952 case0:bad[valid_x(-x-u)];case1:bad[valid_x(-x-u)];case2:info[v=0]&bad[non_square(s)];case3:bad[non_square(s)];case4:bad[valid_x(-x-u)];case5:bad[valid_x(-x-u)];case6:info[v=0]&bad[non_square(s)];case7:bad[non_square(s)]