-/* $OpenBSD: bn_mod_sqrt.c,v 1.6 2023/04/05 08:43:31 tb Exp $ */
+/* $OpenBSD: bn_mod_sqrt.c,v 1.7 2023/04/05 10:47:00 tb Exp $ */
/*
* Copyright (c) 2022,2023 Theo Buehler <tb@openbsd.org>
/* Test that sqrt * sqrt = A (mod p) where p is a prime */
struct mod_sqrt_test {
- const char *sqrt;
const char *a;
const char *p;
+ const char *sqrt;
} mod_sqrt_test_data[] = {
{
- .sqrt = "1",
+ .a = "0",
+ .p = "2",
+ .sqrt = "0",
+ },
+ {
.a = "1",
.p = "2",
+ .sqrt = "1",
+ },
+ {
+ .a = "23",
+ .p = "2",
+ .sqrt = "1",
+ },
+ {
+ .a = "24",
+ .p = "2",
+ .sqrt = "0",
+ },
+ {
+ .a = "1",
+ .p = "1",
+ },
+ {
+ .a = "0",
+ .p = "17",
+ .sqrt = "0",
+ },
+ {
+ .a = "1",
+ .p = "17",
+ .sqrt = "1",
+ },
+ {
+ .a = "3",
+ .p = "17",
+ .sqrt = "7",
},
+
{
.a = "20a7ee",
.p = "460201", /* 460201 == 4D5 * E7D */
},
+
+ /*
+ * Test case resulting in an infinite loop before bn_sqrt.c r1.10.
+ */
+
{
.a = "65bebdb00a96fc814ec44b81f98b59fba3c30203928fa521"
"4c51e0a97091645280c947b005847f239758482b9bfc45b0"
.p = "9df9d6cc20b8540411af4e5357ef2b0353cb1f2ab5ffc3e2"
"46b41c32f71e951f",
},
+
+ /*
+ * p = 3 (mod 4)
+ */
+
+ {
+ .a = "c3978f75d6c2908ae3e9a714ad3d09b13031868dfc5873d7"
+ "bd9a9691f3b45",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ .sqrt = "37f112813516c2563028c63a687d38b",
+ },
+ {
+ .a = "1730fbcd9e78e1e786284f708aaa599ffa0d744ff223e3f7"
+ "ac1faac3d7d2a45e",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ .sqrt = "4d0d44591c8c80bf1314762cf73c251f",
+ },
+ {
+ .a = "1fd006456db047a16b32a48235749b8b627be66a5f9e05d7"
+ "d1857114baa9ff1",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ .sqrt = "168fa1c701b579827436c8abc65bae54",
+ },
+ {
+ .a = "216c1526fc9afa21788f84ff1bba10e8bccd39fc60978cdd"
+ "f89087d66dffdd35",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ .sqrt = "5c7fc4b52edf59c44b0916cb134e852a",
+ },
+ {
+ .a = "1cd486f29a9632ef276d10bb9754aae1b2723163a1a42552"
+ "4e514dd9b40e9b6e",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ .sqrt = "55e8f564c1dd1455fea889203ae81c48",
+ },
+ {
+ .a = "7272d05925151c067fcd3fb44d4d4908c9104691e3fa82a5"
+ "d2ed4a58479020f",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ .sqrt = "2acad049c45fe1bf4307bd7b962dbd7d",
+ },
+ {
+ .a = "6d12f19be6960d04f651867737a0e9a0b16e614cc5eb6ffe"
+ "cc6c911d3c9b260",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ .sqrt = "29c68091856db1e3f6d63eaa341cbecd",
+ },
+ {
+ .a = "23681522f2ab9e0e7cf34243e092dd8bada26d18dc1211fc"
+ "d9d49f65569cd179",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ .sqrt = "5f349a0ac98fd5c7b575bc9ff05482cf",
+ },
+ {
+ .a = "3218f7cc3f00df33b1279c2f5386f1f1837db81cf3a69052"
+ "d23f6220f1b43b4b",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ .sqrt = "713f53f8fc8038dc2b8ad3adf2bb6a3a",
+ },
+ {
+ .a = "1d1cd78fc48830494c54113173d636119286e7bd0bd7d627"
+ "21063f88256868fc",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ .sqrt = "565470af11ec50128e82606f07bd3baf",
+ },
+ {
+ .a = "3a9de6e9da1e02f6e7e9b4f1556a0bcd1072d065",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ },
+ {
+ .a = "8bdbc0195d2af794784a8b6f7b63d9fce9fe7a29",
+ .p = "e9f638f327f3ca2a2928f5451bb3b6ff",
+ },
+ {
+ .a = "262b386d4027cc114b4bb73ea745650e6e4a22ef314e9e03"
+ "486f3fa7d721b15e",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ .sqrt = "62d977c29cfede2669e617851d1db12b",
+ },
+ {
+ .a = "172020616142af15b1d55675aae05601206663c1749e3753"
+ "f1b80696d62ece4",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ .sqrt = "133c4f98c82d077789f01c232eca5692",
+ },
+ {
+ .a = "199daf5ed7d4c07f9c22af215c32fc024cc609df92135d9e"
+ "360076ae2baf943b",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ .sqrt = "50fac2c950af164b0bd7d9b5cf9600ae",
+ },
+ {
+ .a = "15b01b8d11211643af99034b3e902305228c903653baea22"
+ "4c4896949b037800",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ .sqrt = "4a8330fc5c8164f858e5cf5028ba69da",
+ },
+ {
+ .a = "a326d1821af01d2c4251d84807980a9942b3ecab8dfe0fe9"
+ "9b4fd27c47de741",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ .sqrt = "3317a2ea8c32838e0c8ac6b0838b2518",
+ },
+ {
+ .a = "1213f38d2c4444e54ec1966acd28c568ad273a1d8337154e"
+ "3e2a137c372624fd",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ .sqrt = "44076fb0b477e1a29315aabc95dafe43",
+ },
+ {
+ .a = "399cc2207e49304d48c5ae4e32d3db8676fd16bd79ad98e6"
+ "dc001fb405ef6f0",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ .sqrt = "1e5c722148e8939872584ca89e01237d",
+ },
+ {
+ .a = "2faee914d3da21f1a5e82303f945593cbbb8bfc94315cb32"
+ "5faca3f8877b23a",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ .sqrt = "1b9f0867a249063caf36bc28b68b5d54",
+ },
+ {
+ .a = "17f6c4ba6517237a5ceaaa186400a0e5a9657db2fd863628"
+ "d6ac524027287880",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ .sqrt = "4e5323a7cda4e3037d258f1436e3b964",
+ },
+ {
+ .a = "1973a0acd4be1a2115b396969421d78bcd32f2cc9b31b1a7"
+ "3e876b0926f34142",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ .sqrt = "50b82d13351cca9addb25052c4d9bead",
+ },
+ {
+ .a = "2768ea8c5bc132c003b0451a9e356ef1b9821646",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ },
+ {
+ .a = "ae5450500ae2fdd7d07df1c46337e3de89730ec2",
+ .p = "e36058b270896dd9380d4d693a2593eb",
+ },
+ {
+ .a = "15a78159fcd81c039d997cb2266513d677a36856756ccebd"
+ "7942fe063a99a42b",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ .sqrt = "4a746881ec00b6cb8e637daf97c7f7d1",
+ },
+ {
+ .a = "17ec38e2fbb20de601b699aab3a420d174a2c541938ea004"
+ "a65f97bc3713a273",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ .sqrt = "4e41e59e7b80b061ae255fc98748d2d7",
+ },
+ {
+ .a = "f8327d6ecd54a96d4cb2d1b5ac4be958a1073fd3c9216f18"
+ "4a2e1b65c80c28a",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ .sqrt = "3f04610bae1450420bc38988dfd57fa4",
+ },
+ {
+ .a = "1c8ad905faae5434f6070960507696b2879d5e7891d3073f"
+ "66a96bdf74c1a56c",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ .sqrt = "557ae7ee14896190564703f963bb6516",
+ },
+ {
+ .a = "21bbfe1ed600301ead629d7b87e11c5403bd16dd9c28aaca"
+ "03fffbf6597c1f47",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ .sqrt = "5cee17372e523911e1a0f914db42230d",
+ },
+ {
+ .a = "250de7ab5e802b1b399e8c3333b20d18dbe433ea28c333a2"
+ "0a9db317c5c96f2f",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ .sqrt = "616546bc036efa2a5a30d35c1cb32ec9",
+ },
+ {
+ .a = "20ae8c29c0aa7030c63efd48fb9f371f5a15fb1918859d74"
+ "d91a160d4533c73",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ .sqrt = "16de015e7590bb75c7f9a0d719368285",
+ },
+ {
+ .a = "a9e4dd7fea7f671c392560cc6abd8241ed88655d4adc4907"
+ "1b7f2151d7931f",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ .sqrt = "d08ca78515bb8670926a12f02ae69fa",
+ },
+ {
+ .a = "1a0126ea28387c8caf8a1b0b8440969407279c759673171b"
+ "80ba9a42281cadbc",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ .sqrt = "5197642a69ddeb7c366b25a634a6c33b",
+ },
+ {
+ .a = "52006bab38c980f87129d9d1b0d7a9559b0a8f304ddefee1"
+ "81b9d2874d12cbb",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ .sqrt = "2438cea95ea42a348190d5d004ca0f6f",
+ },
+ {
+ .a = "43e921a1d7d2706dc74144886815c02719a6e3c9",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ },
+ {
+ .a = "fe62c1aaa54f6abba02bf1add8118c2cc57ae9c",
+ .p = "c3b321a39659c8c574148821cc2f4c23",
+ },
+ {
+ .a = "1c70683aeb6b0025b8509da40e743f4f98f74f8b81dcbd2f"
+ "b83c72059f45d986",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ .sqrt = "555346fcb482ad8a501120ab9176fece",
+ },
+ {
+ .a = "c30e49d25c864756e6432366defb5a7cd8cb3f18eda3cde2"
+ "6c88aec3a0ae004",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ .sqrt = "37dd6d96b275bff258b4fde3321a9217",
+ },
+ {
+ .a = "331e18f1f1ed03ac53c78f2d98bf9d2757127d3c25ec0cdb"
+ "f02882cb70595f",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ .sqrt = "7264fcc091e4523541e8f0ee130571e",
+ },
+ {
+ .a = "3c9c518aec7a7b502e49dca16acb91f9f1d57c7ca69dd199"
+ "d55212b710a1f",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ .sqrt = "1f242105b1371a672211389a0b02ae5",
+ },
+ {
+ .a = "a3c104e9871de2bf7e2f3e1f2e072f1d869a72935928e293"
+ "627f04c0fe9567",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ .sqrt = "ccbf0901efa15d8d0d8758a57e2ab4f",
+ },
+ {
+ .a = "c60bb5e0a48db72bc0cebe9455e9f94a08febd08d634591a"
+ "cdd1a7433eeffd9",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ .sqrt = "384a9f1f39e3a04e3ec7e3b99cdf123b",
+ },
+ {
+ .a = "22d9c628e23c14d45eaac1bb5c563cb4718556d31798e754"
+ "bb7f81a3c6b911d",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ .sqrt = "179d2110991a0f85ad40927cb08a9c15",
+ },
+ {
+ .a = "20354be2a9992a4f192687ab68025fe85b9724faea87f37d"
+ "39a43d26b71c4ee",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ .sqrt = "16b36e6bffa91122c3615aa277cc249c",
+ },
+ {
+ .a = "3ad95db7205d9413ed31b2145c4b368db365e949e54c4dbf"
+ "0acaef2bfb54304",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ .sqrt = "1eaf6d6949ddfe0d9b915b2c9f472f78",
+ },
+ {
+ .a = "1aa4354b3a677970dfccafe223df531fd9c753f91d802ba4"
+ "35362bf5ac66c11e",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ .sqrt = "5295a52e193ac5011d91f2bbeef1691e",
+ },
+ {
+ .a = "f48312e68f2a47df61bff728ac986ec049c283",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ },
+ {
+ .a = "897e77b7f767ac6a99d4be1ac2a4e52153884672",
+ .p = "c3c9132a60dcb07a29ea04ce12f10af7",
+ },
+ {
+ .a = "105505111e51c9a73001339ccff3554c2bdd879baa46210e"
+ "1df8f73b70527a97",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ .sqrt = "40a92a8fcac919aa46ee0ea2a6ccdc66",
+ },
+ {
+ .a = "330b1cce03412398a36967102c7cf6e47534b630c60ceb26"
+ "04bf2e3842bb994",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ .sqrt = "1c93ef2631f86d57ebc0c843e2082fe7",
+ },
+ {
+ .a = "1cfe5a70784209591d7ced341bba4484e1603226449e52b0"
+ "a16d9afa9aa1fc0e",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ .sqrt = "56273048848c7784c2589e3d91dbceaf",
+ },
+ {
+ .a = "7baa8b5f02cdd3451df420b504bd8e16c738a07e7f9cb987"
+ "9944b99e1496e7d",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ .sqrt = "2c7b6c3c5e43c0f2acd1ebfee4e234ca",
+ },
+ {
+ .a = "608d55d43908ea7ea3aaf4ca05d5a8321d55cbe09b565e4c"
+ "163412e45c62386",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ .sqrt = "274deb2741766cffb60a517e8f3fadbc",
+ },
+ {
+ .a = "526ebff9146c9f50021f56304120d8f9b09ce515d0066346"
+ "8f20115421f024",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ .sqrt = "91449230a1a386e9c1093ee0cdbba09",
+ },
+ {
+ .a = "2a20b65b2a28f1b3c9e1d876d86a5f5d87d94421ddf7ef69"
+ "1a71f07955a09a8b",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ .sqrt = "67d976d658fd3cbd77c1474a0906404c",
+ },
+ {
+ .a = "1e083613b3a5b9f547972034d37a1f6f42733731dabbe889"
+ "99b5c0f50a7dca82",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ .sqrt = "57aeb4be88de6be03a7a453a7ba5b50f",
+ },
+ {
+ .a = "11d00fbce28d46f526bb51246a1cdd3c3b2d8bb83725a83a"
+ "564f6a67d23a0ff",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ .sqrt = "10e1ce79ade89e839f3f0f29d72eea8a",
+ },
+ {
+ .a = "3285f0c5eb6ff451af071089be87c1a7fe564e1e8de5911f"
+ "fe390fda34c8799e",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ .sqrt = "71ba3c5d0d93cb2da4a8242269f8f349",
+ },
+ {
+ .a = "d0d1f950ec1b85862398f403e8768936ea03cf1d",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ },
+ {
+ .a = "e5a7a57d99efdd8965c84e10b83df9d0871cc1e",
+ .p = "e84fd723abb1fc0208ad23dfe5986c97",
+ },
+ {
+ .a = "102ce98ef5044dc2f1afa2e6600008198b5329aa0757d239"
+ "3f6860f7e252f5db",
+ .p = "dfcf17789278b6e9cafdb4beaf2cfcfb",
+ .sqrt = "4059946cd6922b83dd0425fc4acb6651",
+ },
+ {
+ .a = "132922d347e42176551bcf327fcb764380a996142bcec3a7"
+ "e5c55f822c53e99b",
+ .p = "dfcf17789278b6e9cafdb4beaf2cfcfb",
+ .sqrt = "4609639f50503b898f97fcbce84bd069",
+ },
+ {
+ .a = "1b1be4c1234332b5ac8494697d1de921f851d9c2b4557931"
+ "125b94f68229dbc1",
+ .p = "dfcf17789278b6e9cafdb4beaf2cfcfb",
+ .sqrt = "534e5790710771e405fa386a75fddcee",
+ },
+ {
+ .a = "272ac5b81ce6e27b4b5aac25ca34abfe8725d28f7f67c8d1"
+ "9d16d2fdbdadf2d5",
+ .p = "dfcf17789278b6e9cafdb4beaf2cfcfb",
+ .sqrt = "64223ee58ff69643ec0b4cabda6fa41b",
+ },
+ {
+ .a = "77a6fa94c13869d5cc265d70edc83bfed1d0e1b0ac8b89ae"
+ "e56580f73696b4",
+ .p = "dfcf17789278b6e9cafdb4beaf2cfcfb",
+ .sqrt = "af045f74c28b50570b7d2ed8a53705c",
+ },
+ {
+ .a = "207b2287539f1489a52c29d82415be4d2dbcc256c8f58f51"
+ "697dacc3ea2c091c",
+ .p = "dfcf17789278b6e9cafdb4beaf2cfcfb",
+ .sqrt = "5b2ff6ea861f522cbe4aeda70ec954b3",
+ },
+ {
+ .a = "a6322e0055de7fd226828206a28c61091a8221449c39bbd1"
+ "969e9cdb1cbd7b3",
+ .p = "dfcf17789278b6e9cafdb4beaf2cfcfb",
+ .sqrt = "33911aaca827e264d82da9b63fe25c98",
+ },
+ {
+ .a = "5c0625d646c4183b59ccea7fb137399802389d925c999c8f"
+ "34700cb1edd482f",
+ .p = "dfcf17789278b6e9cafdb4beaf2cfcfb",
+ .sqrt = "265f251061587b79dc4bb3e2dbbddedc",
+ },
+ {
+ .a = "ab2267257b8fb94428bfa7782d114a8189ad9188af7c35aa"
+ "2f58851104a3c3",
+ .p = "dfcf17789278b6e9cafdb4beaf2cfcfb",
+ .sqrt = "d14f31646a99511d5df395ee0c6f23b",
+ },
+ {
+ .a = "2ccb942f89fcd0f396e6f60dbf26faba338a9f42a08ae83a"
+ "8349881f4d2c9707",
+ .p = "dfcf17789278b6e9cafdb4beaf2cfcfb",
+ .sqrt = "6b1637561bc8e2b7c6797ff14898b78a",
+ },
+ {
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+ },
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+ .p = "db9874b4d0f7b1cfcb69168102ef111f",
+ },
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+ .sqrt = "2016557da8396370d7a7c3d9a947e666",
+ },
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+ "05d740824a0b3114",
+ .p = "cd1f525d3eb5172c591bb299f52ba447",
+ .sqrt = "41b5964db90af860d17fbbcdd4afcc55",
+ },
+ {
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+ "ac3e75f2abef8ce",
+ .p = "cd1f525d3eb5172c591bb299f52ba447",
+ .sqrt = "153f2c9007b549d8e802a903ffd2171a",
+ },
+ {
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+ "4425d1cb41edbbc",
+ .p = "cd1f525d3eb5172c591bb299f52ba447",
+ .sqrt = "1d4afd8ce507d6950e0b714c27e5e4c2",
+ },
+ {
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+ "42ed995a94302701",
+ .p = "cd1f525d3eb5172c591bb299f52ba447",
+ .sqrt = "4f3d39e8213df646cee264182fef1f47",
+ },
+ {
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+ "0ea5b276d427e465",
+ .p = "cd1f525d3eb5172c591bb299f52ba447",
+ .sqrt = "47f9db1679dd06966c91bb7ee81f22c3",
+ },
+ {
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+ "e714ec93d05137a5",
+ .p = "cd1f525d3eb5172c591bb299f52ba447",
+ .sqrt = "4402458a9a80428c77dda8334ff41f74",
+ },
+ {
+ .a = "1ba2eabc24b78ce8ed873c0aba09443e5f02b98858c0a09a"
+ "bfdb6d4da798abc3",
+ .p = "cd1f525d3eb5172c591bb299f52ba447",
+ .sqrt = "541cce775b911592fb759167755743f3",
+ },
+ {
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+ "1e0a0b32b609141",
+ .p = "cd1f525d3eb5172c591bb299f52ba447",
+ .sqrt = "3c9af08f9f626f41c7ebe2f32875497a",
+ },
+ {
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+ .p = "cd1f525d3eb5172c591bb299f52ba447",
+ },
+ {
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+ .p = "cd1f525d3eb5172c591bb299f52ba447",
+ },
+
+ /*
+ * p = 5 (mod 8)
+ */
+
+ {
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+ "0cf4243f784e33d",
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+ .sqrt = "224004cbf31a7c967d53819764506317",
+ },
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+ "d3c6b8bb3902c1",
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+ .sqrt = "7f7639804be2c91aed7cdb70e1af18e",
+ },
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+ .sqrt = "31cd63124ff7c306503ea3a2437bdbb0",
+ },
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+ .sqrt = "44e6f601015c26b885d7cd32663bc970",
+ },
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+ .sqrt = "4f389ee648fb323847e453c77db0a364",
+ },
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+ },
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+ .p = "c7ff289dd9db4bc68a80d6d0837f5195",
+ },
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+ "77331853bcd49b21",
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+ .sqrt = "7b13e508e84efddeb4eeae18144046db",
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+ "00dfd31c139c1869",
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+ .sqrt = "7b84e784f47a5586e6c3cb970bc98a03",
+ },
+ {
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+ "00bb40d2650ee1f4",
+ .p = "fc5054f3123deeb6ca2d35c77263c08d",
+ .sqrt = "48a2f5e66dc7919bd19d00549d177c3c",
+ },
+ {
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+ "ec1cec8db01798bc",
+ .p = "fc5054f3123deeb6ca2d35c77263c08d",
+ .sqrt = "472140c031a001ef403cb71274a91830",
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+ .sqrt = "2702e8eea69442b4e6172a2a604727b3",
+ },
+ {
+ .a = "37f3b0d8b439d1154897e5570a0c3848df6bbd0",
+ .p = "ffd67dcb5d329a4a2bb7dd5714883bc5",
+ },
+ {
+ .a = "7eaf05eecb0d43ecf2512817192528adf0889694",
+ .p = "ffd67dcb5d329a4a2bb7dd5714883bc5",
+ },
+ {
+ .a = "105c1fa13632480e2b74fb6cf6bc328cc3942f9d8e53b98f"
+ "1cdbe90f20cbd421",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ .sqrt = "40b738fd5e8a939cff33399ccf94500f",
+ },
+ {
+ .a = "13a3407966b0d6d73397a45fa9be2b11acaecc6e80df03fa"
+ "ed2e048b044bdbd5",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ .sqrt = "46e7329b7c7e48e6fa2a369589706b6b",
+ },
+ {
+ .a = "22147b448cd5a73ec3034e900e5e35e2c7449ddea0217f7b"
+ "65fc368cb7fc571",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ .sqrt = "1759ea6c3c8c4564b5978c40efdc030a",
+ },
+ {
+ .a = "e10c85d3fcfda9437b148bd660ad5a7ebca4d80c8c68c524"
+ "6ceb0939273b4dc",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ .sqrt = "3c01ab6ba6cbdb7e8516e22542b2b18d",
+ },
+ {
+ .a = "28f0530dbfaae27d8c0d6681d32a5d550cd335c110b789ef"
+ "2988c39b6c4d3294",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ .sqrt = "665f9acaaa3c55e7088bb93dc88fb6a3",
+ },
+ {
+ .a = "4962eae6c1079bb2a5ee60600f9b9c9db0715a9779c20a5a"
+ "8415b20c4b3d85",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ .sqrt = "8910bc8cbf206a16968ee9607017bb3",
+ },
+ {
+ .a = "15d05b2c3428db47461d4b90e8146dd4b4ad5f86465abb8a"
+ "7bb252ca423ff7de",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ .sqrt = "4aba823c04a7ec0d08070999f7ab5965",
+ },
+ {
+ .a = "37c0957199baff074190dae6fde2420a56748d522ba89182"
+ "13bdda91a171085",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ .sqrt = "1dddf264310f08e6d212b7809744b075",
+ },
+ {
+ .a = "1170b6f4f5c7d90fc1127a987baf05d47c1f91b62ba0dd01"
+ "e2ffc3e61e26544",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ .sqrt = "10b462a39a4ea25517c916ca1267d4ee",
+ },
+ {
+ .a = "dc67e90034f4b1c96158d66c61ef94f6322bf30540767194"
+ "289d50a0e64a34",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ .sqrt = "ed8984640b9032ff7d5dc6164ea1f40",
+ },
+ {
+ .a = "6412bbff1fbbca4e25a7f59fc99722dd655b1941",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ },
+ {
+ .a = "a98c16965781b8b6fb49a1fdfbefbd00ade3dc92",
+ .p = "ce66d97f3c1ed87b6103b64014e37bb5",
+ },
+
+ /*
+ * p = 1 (mod 8), short initial segment of residues
+ */
+
+ {
+ .a = "b0b43e2686e8bf81e07908ee0315393cde48656e98e2c432"
+ "3bd5133a07a1c76",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ .sqrt = "352c0a67702fab872833b758680a99fb",
+ },
+ {
+ .a = "c95dc97c4405b42ccc6bec830850684245262d383756c231"
+ "8dd79378a9f8669",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ .sqrt = "38c2ee16f6e355ea53e346fd9078f655",
+ },
+ {
+ .a = "35379a66ef1ef5a281091c35966a31d312095cb7ac0959a0"
+ "0f99997ecb69f251",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ .sqrt = "74b85e7a7766ca98047ce8a702c9ebd5",
+ },
+ {
+ .a = "4ccc534c7ac3ac9526407a4aae616151c8e5a38984f59a9d"
+ "b5e75f03c296",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ .sqrt = "8c371cbd5d69a8d82889263b56773d",
+ },
+ {
+ .a = "e30807499ebe6f6c89322fd3c4b428f11ba4952f6fbae497"
+ "c90edc5297bdf3b",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ .sqrt = "3c452e6bd40178ab4cf09f121a9a89ef",
+ },
+ {
+ .a = "24dc33460e63ad6ae3d5e659bcfcf7208f083c804501a5e9"
+ "1b12f0478c6f5f2f",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ .sqrt = "6123de04bebd162ffb002e0500ab8359",
+ },
+ {
+ .a = "26c2a761b5d95bc3847ff7a58825f249738d9c1eb8a003ba"
+ "53be67dd6a4b92d",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ .sqrt = "18e73380a4810e17bb114f3e1f38bb14",
+ },
+ {
+ .a = "362b43adb6aa4f3f7041ee86d42ee37897495fbcd2a52a47"
+ "9e1a80493f1fbc7e",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ .sqrt = "75c264b8c82dfb64c9cfee3e0c64c699",
+ },
+ {
+ .a = "7364cfd413f046b4bb886cda3d7dcda21f619ebb715a5bd0"
+ "6cc3833be5d4107",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ .sqrt = "2af7f6495da83f2f27d947cb982cec03",
+ },
+ {
+ .a = "3e7559de589e876d2fe6efd091a0a91511b7334576eef8f0"
+ "ecacb298b61838a",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ .sqrt = "1f9cbc8282c070ed616cc1a97fac79a9",
+ },
+ {
+ .a = "25ba186abff6724df832e524fd872f6306adefbd",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ },
+ {
+ .a = "59193d6469d246596bc69cc0030b2e0a0ff2296a",
+ .p = "eec87e1e532b9f1a091122c4cff81d01",
+ },
+ {
+ .a = "1f14cb634a8e3f4f262998e8e661b91b424ec91b48e245b2"
+ "0c7b79d21bfc9307",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ .sqrt = "59336bf333f7dab3f26b6e5b3d580ae4",
+ },
+ {
+ .a = "6b1b8ea97893defaaaa262bbedec178071cd0de9fb5b1bf6"
+ "35148c2880bbcac",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ .sqrt = "2965aa4725e333b86683bf030fd5828d",
+ },
+ {
+ .a = "12996d48b6f9cc889c9173399f5f4db773f29a964a192980"
+ "2183f3939b94ab8d",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ .sqrt = "4500cab9ab7aec1150b1223ee9cd7049",
+ },
+ {
+ .a = "3dae5dd26b2373500194c86816b27350a53aae4b5dd31531"
+ "01d5f6e5a9d3df4",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ .sqrt = "1f6a38ef49cc8bd1eef8883f1491227f",
+ },
+ {
+ .a = "9e2de20f229e667f8e79d43f9f31b890f8b9b58aba382037"
+ "ae889c6fc807bf2",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ .sqrt = "324ec7636c3dff4fa3253fbc81af6dab",
+ },
+ {
+ .a = "80d25f2f19978918bca80dab98de01d82ae3b169ba0f6e89"
+ "03d21cb4fc27329",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ .sqrt = "2d665de92ba36cd16eafa053f5dc4ef5",
+ },
+ {
+ .a = "70410faf098a2039617c43dd4768c4366f3583a543d74d00"
+ "7781d5fae6308ec",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ .sqrt = "2a61492be8dbba6a845ebf0d132e2698",
+ },
+ {
+ .a = "5a35e960ebdb0461f1867c55fd8e4f1e626a7facab744924"
+ "2c92e8fe724c17b",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ .sqrt = "25fde03b1a02c096f8383c840443c2d3",
+ },
+ {
+ .a = "a1d2ed930145ab18b174126582c20cc189d64844227bcbd4"
+ "6437cd12564cee5",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ .sqrt = "32e24ed1bc281819156635ca43ef4a4c",
+ },
+ {
+ .a = "7054c96a5e8841dcc19561c1324d5ad01c31e853eb73f983"
+ "f4d3b86a199cbb6",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ .sqrt = "2a65023c989bb86d8ea28dce73589cd5",
+ },
+ {
+ .a = "be49695b8e19d4480f861204bc929de31e6cc630",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ },
+ {
+ .a = "3a0c60b78ae72dfe52da83947fa263ceb2db906b",
+ .p = "c6f187c92de82671e10480e2f38454f1",
+ },
+ {
+ .a = "165cf974fe4ed624e4f37336c62619b3e7e810c12efaa571"
+ "5edddc9fecd73a43",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ .sqrt = "4ba9df1fcfeeb2d1c8ee0ac376216ef2",
+ },
+ {
+ .a = "4678e362dc4e15b9398f7ccc8fa691b6a05ba26089a0ee9b"
+ "b6b538a62e96043",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ .sqrt = "21943f77370cefaa2abbd82ec27bbe25",
+ },
+ {
+ .a = "7eff91bde1563cc1919ae3a81fa35182a6a44454164c9ba4"
+ "9e3f3cf689d23a1",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ .sqrt = "2d13d1477e40f4bcf7df8323b1f2c103",
+ },
+ {
+ .a = "1de4798791513fe1babddcef80e6a15c996d15f5b70f584b"
+ "9ece3ca9ab76d2cf",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ .sqrt = "577a7a0479f552028216368fb7a36ecb",
+ },
+ {
+ .a = "82732b80ab0df57861ffec20a3c75c270bc5e134eebb264f"
+ "99d8f3ebbd53ab4",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ .sqrt = "2daf94bf89a6d4b92d99f6ec2be281b1",
+ },
+ {
+ .a = "27eb19d9f5b57e8b8eb038da5358a95908dcbeaf7910a9d2"
+ "7b063d6f00850fc4",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ .sqrt = "6516ee003d56d1d4eac285a97de1af3a",
+ },
+ {
+ .a = "12f3ebcf10e154bd69406ed2df0fe0ffd2f613ac45e69c4b"
+ "bec2c33247a28df",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ .sqrt = "1169f787334a104e5da71364960bb4b3",
+ },
+ {
+ .a = "81de8f01e74ce3a1b254c9f2a18817c806e50a3c95903392"
+ "943ea1b8ec0d2ac",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ .sqrt = "2d9587643969929cfb837f76ca325d5d",
+ },
+ {
+ .a = "148c6cdf92945f7111d9ad5ad4a206a349cc46be1a89781c"
+ "1b09780f40cebafd",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ .sqrt = "48875ebd5c183cc3ae177c2506c27249",
+ },
+ {
+ .a = "fe6ef7838aa594f982ac528e59641752e0a4873ef72d900d"
+ "703462f5f18c20b",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ .sqrt = "3fcdcb3f24ebb63257de3e9acd379046",
+ },
+ {
+ .a = "704e6918f3a0a47b167296642e1f6c064b5fed6",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ },
+ {
+ .a = "e10a7f7f045c58adf44a12fcc6cec87bd63b75b",
+ .p = "debc88c58dfc9ad8e61d69f61fc52d49",
+ },
+ {
+ .a = "b9656d002c98fa8c120ac1db4a05775df1c3319de5bfb690"
+ "1c0d264f372014",
+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ .sqrt = "d9db3f403b9e424045df0a09e6cd899",
+ },
+ {
+ .a = "1974d77a065c76035af3290bb7dd8e1cddfc19c59facb248"
+ "1639bd8eee190b",
+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ .sqrt = "50ba19e7001bcb74ee9d6df6933e18b",
+ },
+ {
+ .a = "94751c7af51c0786c679e31948c0489d12fabf16c8814bad"
+ "906b3b41e6b229b",
+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ .sqrt = "30bcbc5bf9b4bde195aba7aeefa44bfc",
+ },
+ {
+ .a = "3dc05f7bd4aabe0a68e366abcc0487f1a10c4c179cb665b7"
+ "ccf4f39ce6063bb0",
+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ .sqrt = "7dbb39e9a61cdbcf7e83b21483d922f6",
+ },
+ {
+ .a = "208977daf6a72daa5c5d4e14fbe2e28fa533753867d08329"
+ "5af878df4c7e377e",
+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ .sqrt = "5b4413582ab1a3ff47f447cc08c0d0ed",
+ },
+ {
+ .a = "3de30458947b12443eb955b8895c7b45db79e53805a82933"
+ "3b93dee77f4528e",
+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ .sqrt = "1f779e770a66ab59075023137a0f55fd",
+ },
+ {
+ .a = "18f5f5e27aec608f1fd5520a17983aba52d6a1d0ac3d88ec"
+ "0243fb82a649ec4c",
+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ .sqrt = "4fefee3399d14feca488bbafcbd9b10e",
+ },
+ {
+ .a = "155a7cab9f3549ddc09cd71691144e147b6471e3e9ecfef2"
+ "6db13e9fa385108d",
+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ .sqrt = "49ef89b4f7a44d54bba946b799fee7b0",
+ },
+ {
+ .a = "567ec8920ee7fc5d5a66fd5fb6714a449dd86220a424d4ad"
+ "86f0a6b31b7a3c4",
+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ .sqrt = "25337d299557bb92261fd1fd30cc7236",
+ },
+ {
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+ "ac8905767b7e6342",
+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ .sqrt = "568042169dc73549d6345470ee1eabb2",
+ },
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+ .p = "fbde582b5fbe2da75cae71930eb93f21",
+ },
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+ "7176d7b51c93e765",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ .sqrt = "47e1fb727135a208cc2c7ea7b0c379fe",
+ },
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+ "2846137dd294a18",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ .sqrt = "314031569a866f17741995c94339eff3",
+ },
+ {
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+ "8c7df618069b5a00",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ .sqrt = "424188e0d7180cc52c9cade1410166be",
+ },
+ {
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+ "9c2dd4ef047184",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ .sqrt = "9989bb94715481c52520a8f18b5d16a",
+ },
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+ "6a2493e0bb67abf",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ .sqrt = "32cd6adb81261c417dd10a2583a2d1de",
+ },
+ {
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+ "dcb85ddb1f674a",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ .sqrt = "8ea784baad105cace13c408e30333c4",
+ },
+ {
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+ "e243f3ec95b07909",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ .sqrt = "55a6cf22f6779438a874c1790ee79b01",
+ },
+ {
+ .a = "241ffcdf08f03805c6ba3bd1fe664a031aed20225e841269"
+ "8df05607921bb7ae",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ .sqrt = "602a9d0981fbdf7429190008e771bf43",
+ },
+ {
+ .a = "2005bcee577a5a69d7d38a7c33c0f32a5d4d092cb961369b"
+ "8ce8718596581c5",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ .sqrt = "16a2a5a7aed60909e10cdde80133b3d1",
+ },
+ {
+ .a = "24e5fd362ef16d84a64f25481f99daea591b537726220bcf"
+ "59ecc270559a1e21",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ .sqrt = "6130c332ad0069454b0e327e635ad978",
+ },
+ {
+ .a = "aa65d05d557cf6a73d04668ac5c474cf738d20a0",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ },
+ {
+ .a = "b0e60e655eef70c827476d6706b8ebc040392f78",
+ .p = "c579568a7fda58a3116a02bde4c395b1",
+ },
+ {
+ .a = "2e2f92d2457763400965223456e5fb40f67df2022e1b397a"
+ "f37ca2135582db4",
+ .p = "d1bd970108af0ab47a7ccff9c1f7b6d1",
+ .sqrt = "1b2f1ed46b49eb6a0529b395c74f44bf",
+ },
+ {
+ .a = "c4fab9bdefce241989dc61671de4c86d7d7644c02c0be973"
+ "54a9f6d865b8128",
+ .p = "d1bd970108af0ab47a7ccff9c1f7b6d1",
+ .sqrt = "3823c5f72e6d52d7022b4cb12a312f00",
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+ "844739e5f2c59086",
+ .p = "dd371a07847d0e0ba15fe277859db621",
+ .sqrt = "483530d37ec99f64af73f91ff39c2071",
+ },
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+ .p = "dd371a07847d0e0ba15fe277859db621",
+ },
+ {
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+ .p = "dd371a07847d0e0ba15fe277859db621",
+ },
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+ "a1418ea74cefec90",
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+ .sqrt = "51a970741b5119c5d0f3ef99ee70c620",
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+ "9c55f90669bbbce",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ .sqrt = "2024f113a8ff4531638916f5ce8ce437",
+ },
+ {
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+ "c6bfe6c88c591a48",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ .sqrt = "5669c103c43a3e71eff5067f1c64689e",
+ },
+ {
+ .a = "256567c23e2f5efcae74a5ee4390c2a53371f70cc6a391e4"
+ "6cb41df3ac32d795",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ .sqrt = "61d801f9493c8dd4df81bdec46b11044",
+ },
+ {
+ .a = "1cf702151efb378046c6e1ff7c4fdea64dab11de545b18cc"
+ "4635faff50bb2023",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ .sqrt = "561c45e4d90fbc3d67e257d464522362",
+ },
+ {
+ .a = "2a76050e09a73aeec0b232bd0c58141f1240c51fd0e1c802"
+ "d2c6cf88090cbeb9",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ .sqrt = "6842672d2370bdef87261e322caefacc",
+ },
+ {
+ .a = "3a947f3f87fdac9374669cbd3f426629b2b4b0813a72679c"
+ "91bf1536b4bdf95",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ .sqrt = "1e9d73ae67b54e8c1b37638ff2c5e17f",
+ },
+ {
+ .a = "a2e97855accfaca7225f22b1956b639f40dff10ee0767b7e"
+ "34e8daf8af129d3",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ .sqrt = "330e06e86764464282b30f49d39e279b",
+ },
+ {
+ .a = "233a0d4f8e8b10457cee27d567331ada6c3bb189737efd83"
+ "6461a7c3b00e0e40",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ .sqrt = "5ef6a2fd26778224d90f8d922c064306",
+ },
+ {
+ .a = "22e5d6d527c72836c1120fb64094f939bf0bf7739cd999f0"
+ "7e04c68e3223c074",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ .sqrt = "5e84dc6e6d114b48d36564b1d9881eac",
+ },
+ {
+ .a = "766cf945129c9768cabe5c8bc206ee011a133fb3",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ },
+ {
+ .a = "8b8061d0214fb275eb3edf0ac4efc12983c5188a",
+ .p = "d8708392da9cc40e2cc47ad468621c99",
+ },
+
+ /*
+ * p = 1 (mod 8), long initial segment of residues
+ */
+
+ {
+ .a = "121a50ac860d84f7632ea520155e45108edbf726ef400312"
+ "af265d6d6b542aa",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ .sqrt = "1104d9fa5277ffd941b2ca504033f3c1",
+ },
+ {
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+ "9d30d2a96f6b9e1",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ .sqrt = "115007fab662b063f1c1a85a986d9574",
+ },
+ {
+ .a = "13d8ac7d33c3ea1bcb184abc660fe5ff6ac0b3eace1f6ac0"
+ "76425b4a70b6bf0a",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ .sqrt = "474762679be31397e717f008a6d94c44",
+ },
+ {
+ .a = "331f552bbda4b1d992dd79a7dac65fc714d6123502efd1ca"
+ "131eca10e1f832cd",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ .sqrt = "72665e9479b1cae103882e27b3896e4e",
+ },
+ {
+ .a = "d39f0377067e6d7814a3b54b74d5fc877e6a150a842dee80"
+ "2a5b35f434e94ef",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ .sqrt = "3a3056445c077b79b88dd4feac16ee6f",
+ },
+ {
+ .a = "59ffa4f211e11e9e28bf06313768d9e6f30539ce99a64803"
+ "3b147f97992630b",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ .sqrt = "25f271261880530813283b393df6d638",
+ },
+ {
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+ "8e835ea8811ded62",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ .sqrt = "50aff6d9df607c2aab6c09da72abe272",
+ },
+ {
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+ "16551b86fbf46c41",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ .sqrt = "52e4b15907eafab6fab028f7ff777318",
+ },
+ {
+ .a = "d559fae722d3d02118faf185537d3b9872888085c08f0e33"
+ "2f79667588a85",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ .sqrt = "3a6d1d1324934f1c6ab27f4340030b2",
+ },
+ {
+ .a = "1fda911e045e686c13d0ed29ef87858456bfe08a6dcc64c5"
+ "044dfa62c2c48755",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ .sqrt = "5a4d79d775b65857a6a3eae7e6c65fd7",
+ },
+ {
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+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ },
+ {
+ .a = "4a46c4c627d798c4a3d26f415e869f18e2b8cd60",
+ .p = "ee690b3287cc4bef7173d1ae8c38af11",
+ },
+ {
+ .a = "33a4da7f8fab68215f235b974676bb5f530284c9c4346bd2"
+ "9c0904947b9893a",
+ .p = "c94395af7aa282d79adc16e955ceba59",
+ .sqrt = "1cbed89a3a6add32a2caedd7aa666d4a",
+ },
+ {
+ .a = "12454eb2f4fb16b606b45cdd2f1964bcae0c638cd67eebbd"
+ "6e3c12cb58303d0",
+ .p = "c94395af7aa282d79adc16e955ceba59",
+ .sqrt = "11190392b941d3c89014057d43c2b933",
+ },
+ {
+ .a = "1be7aad902860399a59a3a4ab60355a96233a1095785d78f"
+ "7ef1fad6cbfd499f",
+ .p = "c94395af7aa282d79adc16e955ceba59",
+ .sqrt = "54852d0df6fc249853261a64a8bfc356",
+ },
+ {
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+ "017dbd03006159e5",
+ .p = "c94395af7aa282d79adc16e955ceba59",
+ .sqrt = "4ced03f935a5b8e00177ac488ceda8ed",
+ },
+ {
+ .a = "13bc64edf2aa045dff33a834f301b9ae53f21b0507a52a6b"
+ "9bb9f70ec9fa95e0",
+ .p = "c94395af7aa282d79adc16e955ceba59",
+ .sqrt = "471487b8b79cd2cc1562319251cfd065",
+ },
+ {
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+ "85b83ae61972cc",
+ .p = "c94395af7aa282d79adc16e955ceba59",
+ .sqrt = "958e0d5480ae5eb29c7a2031e5e4747",
+ },
+ {
+ .a = "1497fcf0a83b6d52e15c77e5ee46c84843e2d405f8551c16"
+ "961fb7ff05f0df47",
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+ "5e46107e55d7a2c",
+ .p = "d221951118210ae00de11d059add5179",
+ .sqrt = "15bd0fdd249f3c6a8c2f548736905f23",
+ },
+ {
+ .a = "f85fac41fc1b4425c176f56f6e9d62e1e76e1b2211ef4fb4"
+ "59c33ae66b796c",
+ .p = "d221951118210ae00de11d059add5179",
+ .sqrt = "fc2874c1abda2571ab8a869d1808175",
+ },
+ {
+ .a = "e42771a0f23fd6acdfb6aa40aca83b16c58759815f4dc6a3"
+ "8fd3eef95cee3ea",
+ .p = "d221951118210ae00de11d059add5179",
+ .sqrt = "3c6b48d5885c257eca850ffce85e46be",
+ },
+ {
+ .a = "195fc0fe25e90c6173a995e481fee9e7e256409fe143fea6"
+ "1826da3486c3e297",
+ .p = "d221951118210ae00de11d059add5179",
+ .sqrt = "5098a32cc135bdea68430ed532ea0005",
+ },
+ {
+ .a = "b9ba371e8df3cd27092a0acc00e0fb452607e13a8cd3a003"
+ "515de9e1d7bda62",
+ .p = "d221951118210ae00de11d059add5179",
+ .sqrt = "368342b57f60ae446e6effdf172b074b",
+ },
+ {
+ .a = "110fccbd58d822da1cf00b2ebf75e8479fba35602ae212f8"
+ "7abe5470aa0a8dc",
+ .p = "d221951118210ae00de11d059add5179",
+ .sqrt = "1085b79c4bb04aeb47ee70702a56c09e",
+ },
+ {
+ .a = "770192a443c51e1652e7057f01317a4daa394f698c7e8552"
+ "a2708ce9a171da8",
+ .p = "d221951118210ae00de11d059add5179",
+ .sqrt = "2ba2cf3f71977f2ab422dc333af01aed",
+ },
+ {
+ .a = "d64e10830c62eca1dac4bc5f1fa566f9504bb15ca82c63a3"
+ "efa32cef3b1c5b0",
+ .p = "d221951118210ae00de11d059add5179",
+ .sqrt = "3a8e7f5e1cb03581dc78638cf4860450",
+ },
+ {
+ .a = "1e44103d73e7744ed150aea64c9781bb286d0c8896086aad"
+ "a0d01ec4018edd9e",
+ .p = "d221951118210ae00de11d059add5179",
+ .sqrt = "5805e8e0c4c53dfa1e3ea9e4ef6659db",
+ },
+ {
+ .a = "2602d83a0b822bf52b8a02e7a5df83d06bf6f75f52658484"
+ "03a60c25c70d2fb",
+ .p = "d221951118210ae00de11d059add5179",
+ .sqrt = "18a9486523c9cbdcc1d9d812345978a3",
+ },
+ {
+ .a = "7575749b1df9decda4eeb931f3e077a35ab17cb4",
+ .p = "d221951118210ae00de11d059add5179",
+ },
+ {
+ .a = "1ab8eec9aa32cd78e7fccc74bea5bc666224eae5",
+ .p = "d221951118210ae00de11d059add5179",
+ },
+ {
+ .a = "1fcb7176f1300935e5f662830115c7330fe0a336e27f1ded"
+ "642f51a97f71f6c",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ .sqrt = "168e01d97eb477d70cd284571dfff3ec",
+ },
+ {
+ .a = "a856d9e3eb0073dc8acf9736094df283bfaa8ecf94d633d3"
+ "0c21fd34154c3df",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ .sqrt = "33e5f39cdd6b39931e1295525323eced",
+ },
+ {
+ .a = "23ca9267d09a2a9697887b8d71794f91e7ad6ee2282a6247"
+ "5d37273ea49cfb24",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ .sqrt = "5fb8a8b3082f117d9c32ba395772f1f9",
+ },
+ {
+ .a = "2e5adfa8b2e4baf9a120ad13afc13d420ea82b7b6552ef49"
+ "b93d827edd782420",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ .sqrt = "6cef6806482bb27a8f431c2be11da15d",
+ },
+ {
+ .a = "1856d952cfe49f088152e15c8a35a6e02e9e6471ef8ba7c2"
+ "a8085d01f197911c",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ .sqrt = "4eef8bc5cbe83339d5363dd75fcb906c",
+ },
+ {
+ .a = "809153ea20aab3373a44470d4a92e5415293c42084757301"
+ "4ecef756ebe3b6e",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ .sqrt = "2d5ae64f52b011c2b47b196d3257815a",
+ },
+ {
+ .a = "d8f2c65347eba4148fed9f5420a50727915e41417b090095"
+ "d011f2dd85d13a1",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ .sqrt = "3aeaaa8f5a07973ffdc5c96e28c6b6a0",
+ },
+ {
+ .a = "2fc2023299021c3bbd160fdc96f3f235105bec74eedd0bc5"
+ "ba2c6ba3aea5845",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ .sqrt = "1ba48fe5d1a5c1b26b142965ce0dd426",
+ },
+ {
+ .a = "7c57bc6f695242e8c31ea7ea07ccb856fd80291ab481aab2"
+ "66980264ffa3b64",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ .sqrt = "2c9a8745a0f72ec9dbb8d2ad4e86e6cf",
+ },
+ {
+ .a = "194e31d9e40a273b975b87cf5b4956b892b0b810e9c56d63"
+ "9731eb011f3b5bba",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ .sqrt = "507cbb530412e9a988aeecda15a9c9e1",
+ },
+ {
+ .a = "d26fa79e1156dd232b5886efaf8b5b7a08dc5740",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ },
+ {
+ .a = "cceefd8c7bc0a4b82b8eacbbcb786f9b21f6ff31",
+ .p = "e9103af488d3bc5209fe348dcf043dc1",
+ },
};
const size_t N_TESTS = sizeof(mod_sqrt_test_data) / sizeof(*mod_sqrt_test_data);
projects / openbsd / commitdiff