diff --git a/src/arith.rs b/src/arith.rs
index 85c3b03..d4869e2 100644
--- a/src/arith.rs
+++ b/src/arith.rs
@@ -77,6 +77,39 @@ impl U512 {
     }
 }
 
+impl Encodable for U512 {
+    fn encode<S: Encoder>(&self, s: &mut S) -> Result<(), S::Error> {
+        let mut buf = [0; (8 * 8)];
+
+        for (l, i) in (0..8).rev().zip((0..8).map(|i| i * 8)) {
+            BigEndian::write_u64(&mut buf[i..], self.0[l]);
+        }
+
+        for i in 0..(8 * 8) {
+            try!(s.emit_u8(buf[i]));
+        }
+
+        Ok(())
+    }
+}
+
+impl Decodable for U512 {
+    fn decode<S: Decoder>(s: &mut S) -> Result<U512, S::Error> {
+        let mut buf = [0; (8 * 8)];
+
+        for i in 0..(8 * 8) {
+            buf[i] = try!(s.read_u8());
+        }
+
+        let mut n = [0; 8];
+        for (l, i) in (0..8).rev().zip((0..8).map(|i| i * 8)) {
+            n[l] = BigEndian::read_u64(&buf[i..]);
+        }
+
+        Ok(U512(n))
+    }
+}
+
 impl Encodable for U256 {
     fn encode<S: Encoder>(&self, s: &mut S) -> Result<(), S::Error> {
         let mut buf = [0; (4 * 8)];
diff --git a/src/fields/fp.rs b/src/fields/fp.rs
index 0e621be..eab2ac5 100644
--- a/src/fields/fp.rs
+++ b/src/fields/fp.rs
@@ -68,6 +68,12 @@ macro_rules! field_impl {
                     None
                 }
             }
+
+            /// Returns the modulus
+            #[inline]
+            pub fn modulus() -> U256 {
+                U256($modulus)
+            }
         }
 
         impl FieldElement for $name {
diff --git a/src/fields/fq2.rs b/src/fields/fq2.rs
index 1ed6762..b214758 100644
--- a/src/fields/fq2.rs
+++ b/src/fields/fq2.rs
@@ -2,6 +2,8 @@ use fields::{FieldElement, const_fq, Fq};
 use std::ops::{Add, Sub, Mul, Neg};
 use rand::Rng;
 
+use arith::{U256, U512};
+
 use rustc_serialize::{Encodable, Encoder, Decodable, Decoder};
 
 #[inline]
@@ -28,21 +30,25 @@ pub struct Fq2 {
 
 impl Encodable for Fq2 {
     fn encode<S: Encoder>(&self, s: &mut S) -> Result<(), S::Error> {
-        // TODO: multiply c0 and c1 during encoding
-        try!(self.c0.encode(s));
-        try!(self.c1.encode(s));
+        let c1: U256 = self.c1.into();
+        let c0: U256 = self.c0.into();
 
-        Ok(())
+        U512::from(&c1, &c0, &Fq::modulus()).encode(s)
     }
 }
 
 impl Decodable for Fq2 {
     fn decode<S: Decoder>(s: &mut S) -> Result<Fq2, S::Error> {
-        // TODO: divrem to get c0 and c1
-        let c0 = try!(Fq::decode(s));
-        let c1 = try!(Fq::decode(s));
+        let combined = try!(U512::decode(s));
 
-        Ok(Fq2::new(c0, c1))
+        match combined.divrem(&Fq::modulus()) {
+            Some((c1, c0)) => {
+                Ok(Fq2::new(Fq::new(c0).unwrap(), Fq::new(c1).unwrap()))
+            },
+            None => {
+                Err(s.error("integer not less than modulus squared"))
+            }
+        }
     }
 }
 
diff --git a/tests/serialization.rs b/tests/serialization.rs
index c2b1272..9125df5 100644
--- a/tests/serialization.rs
+++ b/tests/serialization.rs
@@ -54,7 +54,10 @@ fn group_serialization_edge_cases() {
 
     // not points on the curve
     assert!(from_hex::<G1>("04177cedb64589bde7a64ad24f89bbb8c9f05535810865aaea8fbf8184ff9e120313500226b2422d2068614d1c8c7146c806a97743e78d9901748a9ded08ea9e5f").is_none());
-    assert!(from_hex::<G2>("041800deef121b1e76426a00665e5c4479674322d4f75edadd46debd5cd992f6ed198e9393920d483a7260bfb731fb5d25f1aa493335a9e71297e485b7aef312c212c85ea5db8c6deb4aab71808dcb408fe3d1e7690c43d37b4ce6cc0166fa7daa090689d0585ff075ec9e99ad690c3395bc4b313370b38ef355acdadcd122975b").is_none());
+    assert!(from_hex::<G2>("0404d4bf3239f77cee7b47c7245e9280b3e9c1182d6381a87bbf81f9f2a6254b731df569cda95e060bee91ba69b3f2d103658a7aea6b10e5bdc761e5715e7ee4bb01b4c328f0cbdb4aada63b3d09100d792376b94d07a6004e46054eeec849e8de9835158a11d28483dd8db236ea49f3630edc9e41944e494c5aacfc36af3b66e7").is_none());
+
+    // out of bounds
+    assert!(from_hex::<G2>("04ffd6a64a62b843a22c6250eda2354d603e74c30ed0b1435951c3f7dd541538beb8a43915823125c6bb89aece89125664ce78ca69b81cdb8164b40eb2833560b606e11258ce33c4076eff0d5824f210466b588d324b60ccd5a2b7f180f9a7cd7f1ab564ddb03b1b684ff4315acc6eef5229d99fe107afaea83a5c72f2b4c33aca").is_none());
 }
 
 #[test]
@@ -10076,10006 +10079,10006 @@ fn g1_vectors() {
 #[test]
 fn g2_vectors() {
     let expected = vec![
-        "041800deef121f1e76426a00665e5c4479674322d4f75edadd46debd5cd992f6ed198e9393920d483a7260bfb731fb5d25f1aa493335a9e71297e485b7aef312c212c85ea5db8c6deb4aab71808dcb408fe3d1e7690c43d37b4ce6cc0166fa7daa090689d0585ff075ec9e99ad690c3395bc4b313370b38ef355acdadcd122975b",
-        "042c67838d2375c9478515736afbccbd342f2b27bc29f369a319dd2b29d50bd184193ffd9e54ef29c23952aa9ae94f6802a446a7ecdd3fb1f00050395137e4911c23851278a4cdf1b7653ce00932b20a7ec13fd73136807426be6326b07efee3651e45839e5349b05cac07f7a81a4d3a048a01a74af15a0a2d6f37b39525e45cd4",
-        "04279ad80fbb6eb72d134d52d0be1411e481afe72c638c86bd61db2909c31438ca11a6e74fe8a08754b4fc659bf7b069ec777d1ffe427d8642748c43ed1993ae2b156af13cccc742687f9966ec175a92bafdc1173bbab1bb204d34627876d1316c082f9249e1f6858650cba798b55165a6a73e28283714fec5fe73b980f99552ee",
-        "0423634c3ea29fcd751c4d671cb0dc2daf7988615f79fbd4ee445a37bc9e2e12f90ae5b6ab289fbd7a0695df2fee58226fec3382817512a31cc88718817ac03a392456d22e31bdf4407331afd3bbdeccfbfc0f3732fb0ebd8523e886e180b0579d0e339aabf3c64e1293285ec14d30ccf15c68d281afeb7af1d9cf7c64773b50d3",
-        "040c5934295f223bef0e1f44831f08b75c6fc552eff0beb648bb90c4e258b14db806705cef42e05a314f80be7b7bb23ec40eb6a90d5a66859b499d1d296dbbea361c0942411501cb08e7e55dd22bbced47794425fd99fe3ea1e209af95f1d619831c6008bc42af94a4ff0a5b7e5425a754f6ab0d733b5669cd744c38b164c918ad",
-        "04031464e9b247fec775c333ecb0679ae89c27475ce719977a5fc1b0040c789fd80ad528045f711392803e848793ae4e083e37451fdb854bb620ed0f72336788231bafb4e31a99738e56d052f989cf7b1bca5013947713526c695ecffdd035e8492e2460e141dbd6bbe2ceda50695147a8b3765c150747866b1f5ceb446185c822",
-        "041de296caa2d2039da52400b6f2f91736fd9182e4f4440db9fb954e793a111d85289eeec2ad6569c3deb666827263c0a5aa9f7fc359d65485f2842a2c23f4dd5005559f3ad1aff95d175c1b4a0580b8ea0ac1b6494301904f5087bcad94a39b7a187d5586ff24a34c19f1715d7c7d8b7f09d0f89ce0038aa763fa86cc06506f19",
-        "040483068b8e81116e03b4c0799641a969736bd8a148c1a831a8ff20518d27d4bd270577354d458f6788564de9e65bbd2ad10d595e18e621b6d09530b9ad055ef42965718433aab1d43b22bd356337b32d737425cf2e740c219ebaf703ace3051f178390c62692c8ffb5332fc623a43d9f4237c16ad296f6caef8160ac12513ed9",
-        "042a5414a4a6919ec4ef64f47b0ff21677819b0f6e4b912b83998b705b18b8e194199936d35f4a25b8fa509c51428cd1c5a0ad044026ce0fd94a691d18af55f66a27db9e27be985a916d54cceeaa14fb15760f8a42603fce9761256b37be948838181377f7e6ac6f8520ccac4ca1e6743a9d4fe5a358fe7d7219c9902715a6dc15",
-        "041b05fa148081bd5fba93120cc1213a54b8b5f273922317130eb2b4e26948e88f0310164a849e7807c9c157c81086ef09778b39f0bb9cecd41e61c4b6b7a932ff291a22436df666eaf40657583f7b18dfcc84385ffb53677ea9d77c8f7169b30f1807ca324bb6f74298091fd5b9d9fd1e3b844b079ab6654c031bd05c3a1e1c5a",
-        "0428c80df84cff15d5df27e2f0ec8c76294e12c79a88dd075b30d6154ca2c0053314298bdb83bf74d32273ba8dafde5fbed8330ed232efafb09babe53f4c346daa1c5f8d06b0471666655e9905348a8743ec03df1fd3a3ac4eca65a2a7298b2ac028896eef381991e3474ca48c2a5792f2a256d6fbf358234cd719862581b91508",
-        "04273e061f73b2c571927fbe3ebd4aeb35e6624d6d6c6f8ff5935d8ff5762f9043233563946114b9a15c48456d6a593079f2cddf8fa5a8486c02f4f7543b0855851ea949747bc481f673b8861ac58046647a652b6e297f0a889068a70b57fded6b1af7b3c3245f528b7133c1a13a69344bc0a08d043268d7f708247b41fb708992",
-        "04267d591d58ac0d192e14ba80f9ece4d4dec7e5fcd9a57f872223de65a3102d5a00dc2dd4bd57261e3e6b64cfcea5b044992925a98eb689c20072cd2f773138801463e2ac0887e862af0041cea40528529815c2883af6782546a237305894c5aa2d20dafa6c094f4d869a73e1f87f264c6ee36c1773c0b72322a7cda60e3f0b21",
-        "0405b9a785035b4f31a7ddbcda19d64d43983a8ccbd27b1d40af3883bff14630b308326a3c40cfa870ff36275b68d819fe2e2606f9ad44e25b89a2f19db2950db512a30c62572f61bf2576c098a360b1741b2de06c15058b248052709ff244cb432f4bba791cde6457a45bc8f50cb1816e3f48ce1788d6a387d8dcfc2bff078d58",
-        "040a61f7c537f8a1c010254ed2cd03c2961c47d319740c94da81d17a910787f3c60a0cba9ab886a87c827cae08637dbd2a9b2c49bf7de75cb1d8231ee8b62f52da092fb7589462a47c2f64c1a0867f21915838cbcdebcdb148f6ce884c88320c2313305bce65af9f1c517425b9613726030c58988df1d6a83ec9fe58695fb86ede",
-        "0409a76a8e8395ab6e27ee7afca680ebf7eda7dccc0ae4d568e2c5904905ec17ce0567e221d2ee1c11bdca0c42f2faf4c34571870edc298864b3e191679b2f9863193f1d12c8969cb3b0761c372c3032ff13d5edd450afe4fb291e57b2b98fcf170ba1496b526c0f3e8180ff388bd5ba61aade47c95f8d9268c9ff16e2115117ae",
-        "040de6b76ee29fe6802e54b173861e2af2a23a015a84db220f0d1533e51fa4173f1649836197659ccdd362ff84086f786499b8303506badadcb1adffa1620f01da288445063587b47183b69b7d6a97def7fb3c428f87332855b42fce1d14ac602010a56d61a53bc9c841d9ea3edfeaaaac64cb75c9295dba73319260df6f48ed1d",
-        "040cb5e808fe49101bd201b8d3559d2a5815dad17018b187a3b81a949439ea0f2d007df6fdc3e34f17adc51274b597129efa388adacd1c46dd63e6889c31c8a86723934cf177b54dd0fde76165c2da4c4a1ed41f08d9ae4abe45c6840b2cae42610a1226f6e88a7c71c1194df7088f883e7b6ee4ceedbd818e1d37e93286f9b68c",
-        "042503e1ff52371021e561690944e2a146a63e348ce93a8db2d021314dd440d8e214fe6e42967c7404808a25ed89d5fc35a69e68fdcb3520c6d4aae863de5bd9b513d9895ad6948c1c7d8229640282189c99b2155bac3d9ed835d7e494d44224ae2fef3af5995261ce072caf1e616a2940f6652e62f505866f4c6c7d46bf960dae",
-        "04251a6eafde21e3629619eaead2ca6f7ece40c885f2241e7806dd04693430d61d1d55647f4c38b16f3f0e69f6de1f5f9499d0cd8f6961811eadfbd6464079085420007530016a944241e43df10772776ed2f199e0d47b52543ee0a503c42c661f0ec8ba6e64b08054bf68ffb84734dd3ecf51eec99d0583cbadf8e4178e34ebfb",
-        "042ccb17853941a9007c8c9f6921daff460cbe035f23fbdb740c2c4cc841c1f311280cbf0ce6184eda7c146120afd86b27e3f2b866a775ffcf91d76285074377ba152fa83c2bdd64683e0f18e00f91dc7f1d87d302202e70a07a6120bc9aa86c28230f4a6007fb38d96e54eaf431d01142e98c7f4975bb46f4a1f45eff340753f8",
-        "041de6446da4da8d4b1d8151ee6a96fb1ab2f7ca0e97350c712bf39899250eed561acbe29c924683fb239c4eae6ded57929362a0ca3c8c9d2b9636f57b3d04aaac2beea205769545196620d4e215cf1b7f6ec869b2d392656eb862730b9176d1011fec30fac85680e25103a730ff8ad1dd57535c1f51b5252ff3dcffc92e72988f",
-        "04033b8e1ff68c5a454596a9a49d38e625567517330025d6797c2a579b9aa37c3714e1630a4df34060da8e7f8004f8cda7c759f534a48d1cbef0da9eb9e3326cb10e604ec7cb4e83372663d8e003ee9bcb6ad9cb29bf5bc010ecd17e05e0b85e370e5280b89793cfabab6e5db214faf3e1e2fd189e669fd55f257fe99423770d69",
-        "0412368d619788ad72eacd84d175998f9a5fbf3a89dd868284fa8d1ef36cdd516612cf53f12354024dc00e82079f3222249df4ee853a7124a0a8993022a4f5bd6b07573c37ab1138f8813348d0b8384a4c92b0f4db54963bb6862e7daf3525e1ed2c1cd47d8129317e265cac1f1e9ebf433db5fea2f93786bf7778e99642f36d68",
-        "0404860e7ac5fb4dee64bb0de725de0ea01107725102c3ba0419c1100163a123850e4c0febd7e086526d9065f14e449518d3a0d8a8edcbe42c83093ce54867d30018751d3c1260541729dd521a9c2d265da95a4ba348f73f89fd9606b8de4379342006f90146d8697badc8eb8111df7dde13a50b064363e28d2b677704d85bbff8",
-        "041192d45b120c5c23d9a27ee4ce0b3270df90408f2a932af93d72074e2417de912424f16df602f0ebb1a4cfd2ac85a5650ef6cb9bd04037d7775d97c2f3bc589c21ddb1ff0599cb4ca77a4fef3657841776c588ce8d4d9623f9c82e43f854cc072a83f7871e4cd2f1d17cb5b3a8f876a8812352b16a6306d39b7c0f20cd42c485",
-        "0419b432925df2cc7227d301aef3b8a65b548310c31e2f8986d2f14cb590dd8e8b29abf84dffdb401b6b8838a0409d36cd41d30edfdfbb83a4331a5925946a0f570aa2c5d9a81333fe7d4d2a0aace97e012f0f7509b57f40def7b72bdc09d5b810265a641456cc7ac3b4af37c41c66c584f4b1374f05eeea17488e7f046f825b5d",
-        "0417f4df942218a05c2931589d27e0c76c4dcad40e8cb515cf3992685720f4402f0989d04a05ab9fa8a7892915accff791e275d36b763db769d6bcc51852cc31ed2af76ba1783f9823454e30515e1724c997cf4e7f36052edd093e1c2db07dd8ce06723082c9028f6c7f5de140673b1ce7f2709b2ae472a30f16ead9dbad38001a",
-        "041b814175bf49262329390e827ea26db0269d12c0f0850a180b9e389f3d68da0a1b956b6815abaae280b2f6304df65c47a41ef342a2e5ce47f9bdada5bcc2e1e1119bd4c31b1151e6d7cb1fe1110c8c5af6f8ccf05c86c87518e6d5a0a104287d2780238cbafdf71a3633919e45b7b6fd771c7195fea4ad6019e8201373af8bfd",
-        "042f2d0d1634ddb0d2085aaa09890d1c05390dc40d99ac63e8f783e8c21adfad0a14dc10c448bbd58e166a35615b5dfc5ae8612d323700c94e3a60fe01a48b49ea2577628e172d241c8f3a8e16bb29add4703ff58fdce33fc1a6ff9d86e4a4245318c8761564867cb2dcb5fc622328f7b89a0ff22a8e4b2587df68ff5650e8c128",
-        "04112d939634bb34f4f9488143d9c9eaa9fdabc3cfe1ce237e3f03c35b86632d8c049a224a12fb46d35a5e1bba0daa1e7328fa42968173a5c935126a2bd9e5eed2063c0383427600f52e72fafb72c98649cefb15f6c46479c65c78370a23c3c11f0f5530927051ef744644fd55e6ef1bb3008ac1839c38cf8b6d589b05d026ea9c",
-        "042dd12ba3953527f61314ee4401d9491a11e2ff795d418d90736008e64386893504198484354e1f0627af1bbd676473d46e7137e0ebb45acb504e08dfb94230572d08ac9466593375f0ae100fe27d31d6d394bffcc821f12c201a6dfaaa87d00302767f0a274098916df80c7525d04ea2c33eb60cd28efded2c07cb91168b3615",
-        "040d700330c2fad6e6ccbcb7fc83edfc5e949afc3306b185e343b482e25e5311e92fe947a37a0468dfa119af5dc4f5df7186613f791f0b6941ca6bbb7714563ca42135dd14c213902f032c15705fc2e798a5070d83d240c4277a85d83d5c257b751cae0a2bc738323f32814bccc1fdfeb314d016f4834e5e41b52ddc73aee238f4",
-        "0411f5ed01f0a38d5296a156dd3ed54e055faf42a0b465b368ed3166fa0a3f29b62c13fce2bd9be99808c5a4be1c1919296a79abac4440621ea25412e0d38bc0331a89194cf930fb1c74f038cbf1affff5df804600f4d89a7fb35ea1ad3b910f9e104ed2b070ee7886d6691796e5cf79df24661adcb008f52bd470fa633c133670",
-        "0425102499f3ee67079aea36cc0ffed423d36c14c4b18075d14061bd4671093c1c1ef3d6d120fdaeed6fdcb3470daafe58fc9270cc9aaf8d69b185ab4e155c79b61a7afb30034dd491bb4af689b745921d5de063a30642b1aacb40a2a666f4b58f205555a6a36c286332b3c97c2e87daf4089553a4d212b1a2d3bbce59dce962b6",
-        "04304e3c0d1831c0912760e2ba9e664f0b01f90923eda55b4b3ac151f046ddbaa51e12c79e7494fe4256da88ff1f831d8f5a7dcb752d7f6fa87b7826d5005555201cae54d76c285c268103fdaa3459144284f85205f5815507f14b45bb45ac168d1e4f79c78e1fe9f43e26b1de95f679ceea3620202ca168a47841a8a154e9097b",
-        "040f70005a465c6babe2231b02f433c53628db41e2ce417e04d6750ed49a4e004a0a702d847a9049fdff76496066ca89d7468afa38132d1d4c398a81546db1ac690c3495adabb06f204cd7f1395cac16be8ff8a886888e65551738f460dd9900c42f8a8cf5d8cd2cea708145b5e3405752698e93e78ff77688f146135e932709fe",
-        "042cb71697e712d9ac8ed528f178f7e557939cc2222a29c95351d5e5e865333ef517a9725280e21e37efd4c7d58f14ab7468a1b436ded2357e5c5c9c9a17f731900973fd2cd828bbf2a5cf355f71f596b05bbeb98af159d285d5aca41411ed639109fead94fb9ba55cade075ec58d0c763202b506957409204f7a720f7cfc00b90",
-        "040a0b4fa2ad4186f08615695828ec9ddf27be0483bf53082597916717d268b74d209fff81f69f3446f86feaebe70abb60b3eed472edbaeb82675d3f8a3d80bbdd14daf9541f44a3ae86e773d0d076e990e6cd39572884f2634b5ff5a1766f5e33029b371a726dc6366b4b67f059581470b8c8d7f15457054f625ace8bf835f8cc",
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+        "040886969c9b481dca24daf29c8973aca5aafbb6250c169cb77bb40018919c497748909f472bfde82b8a16f937f017ee09b6e3d1779979c5911a233a18cde4fdbd08236b61756d3ff1e415af385389c166296c19d0c5fbbd8b23a1a4ea800afd9d3ff393a685fbcdba3a02ed145c25ee39eec05d4f9c4f14ac1627cc485ea34512",
+        "0401245587771001170fc5719351e07e4bf057d4e252d74400d4459b5dd3aa5bf83ddfc92a52d9fe272a4d80026a3cfd8d51a99d6539aca0a81853e546cf69880d05dfb34a92dbcacc93d0bc7ac14ce6160f1c7ae1eb90a5a5b2ea9dc0b08988548c36035b96f5d1b0ee3a27e31fd67be2e2660ea147cf5259f0f53c5bcd12028e",
+        "04078ff17a4bc3a7909f3c69608098e6b0349aa06f00c14b3792cf3f265fbca5aecfef5e13765bc0009287aec2dc1a256eeb42fea3025e46e5fcda69f3ffff92c30694be944fa5ae003d43b22afe2ffda7ddbf7203dbf4f0fd6820073d09003aed09e7902f5da323324794de5ea50f0d8c7b51faae8ce38e71f2bde6866e414734",
+        "040529097389635c4e90b8e30f60e2585d03792a40266407695bf3b7b166b6f9bf8263357f88d876cf5f5325fbfa4d57af5b47c7b1ed35a7c527047e1b0b58c4fb010efde8d4cf72c287cbe05e581326cfd941569c032e92939d2b4191fc11d5fadeb390f3a91fcbdecae2d573bd8a16120791b57f799ee38605abb75c485b584d",
+        "0402eb93ecdffcaa648ae0e4b375696a7403154d86dce7f2d3a925a243e434672a5d7d9994ee3e51fd5cc5a48494d5ccabc9c25b3559dee8a8e35d90b20925479e07a029d8d13ab4f2e22356de1f3f67c0da42978fd671c8e24cde91b37eb5d1c036a56290f30ab97f8a9a33cfcf9cab48daff50f29698f7907bb15534b1579089",
+        "04032e31a72fdc6bf42b68ff6f69150aabf7bd36dec483600cd3b565e1978d435b0cd619a19ca13a0324937993327d94c00eede436d57b9a7d48dc0f0000f4b6e006363e2fa85594333dbcc23a231bd45f97df7e032ee4098b66856a39a29e4f920c3e94f719f2699ee349730f40ef253f3cf870695cdc7d20897e92b4ee363b38",
+        "0400747802b3320c59277e160f0823a99f2c54c74f807bda42f19ff38ce29ea31cbdc4614c9ff6918a671932d525ced8a3a1859f8160b4fb47a0d3a18510900565050aeebb42a67fbf197550f1d17feb4ba256284585bfc4ffb23c337ad6213f5da6a306469720f015f9663f573b58b59c4d6a76fd2bed2c0f5f1d4790fac9e139",
+        "0402dfa63145db142c1589d42d92e361c6d27ff850148f87bc09f9a5f72d0f5cf6fa89258f468445dd949d191b96ea55c0c8820bc41924151dd568a030dac5195203745d3c81bbb423435aec273fce1ec1f457de9f8b2b24545c7e106c7bc692202ae6ea7b89ab5659463f89c18615580fbb9e2471b026415b37759343901ec524",
+        "0401b70bf655e8e5f39acb834676f368609b8214d6bdcf7252f221b09421898aa4640fd711db34d2ca76251a16e1e3836243079b27e352db6f60166ad85269f81603bce48027401b2ccb2f174bcefa6420349838a3979327690fa12733107078e03443e1e5bf4eed8c9be4be35f09a55d631cacb621b04241b13978f7d97768b54",
+        "0404654b5ceb4029cae57b1fe1e595ea432a5edf815c18f43f16e4ff05fba8fd31cf41b11ff4e00cbaf099bcf170b47e23be995dac6bf7c5c173f3d4d4ceb7f6a2050fdb08032c5e91b0a2c531330264ee75d4ed6fce30f35b4b2674996ab3bcdac82c3a7ae6c2c34dec1256be8b4c78b57d832fe4ce8236a57c64f0c8a536c7a0",
+        "0408e386ab8e32af98c8fc1a7212a48291d309181150ed90c3d1866cdd4bbfd35d93a8ef37ef2ad239b65d1f46446f4de37cd64abeace7e45d93190db348102a3f07b6691c6c75438d5617f59af8ce33cd3639d1fa9b1aab6ab2f04a255b684556b2a8bb2c5edd92ad82ebc94e808752227cde7c8bab970119d2f36a13d5cc0d07",
+        "0406c6ca39659139e0dd9e257c56f95b03c6b93dce0da90de7cdc71bc01e721c7ea1562913c7ea207eac6808c394628de85e720f3f18d71ff36133753859c58054061020c407ccb5865137ab23d1fff6e8d064d45783a015fa4c6250bc3c07784e9b657bd972d56b8311cf56e30a2fc8145ceb656b285dbf14917f206165c1bd2d",
+        "0400d31dc557bba2ca2526bb4409b5d1ecad9c77e1a5b7b39f0fc1f1a602d257e9f874c0ba04bd0527822e54e19924ea4067c8589927181811d18864fadf152f0a0158c8d26e97ade66a32ec3d164980ee3fc647b9c7077d7d50b7d084ec77477b5fb412b7bfbea628e2d171b0b8c100d5aecb747ebf2281f6b114e0e9e5daa4dc",
+        "0402019ad8dd796757f4273cd1567a1341efda4d2c9131db4c38048d232a9672897359e5aab18f42423ab47ff09f28a89e551097aa1ece35b98c8a5fe8ddd33a2e03a7e8487d3ce19a2ddec76d71c14eea4a40dbf77094cfc1e2dd85b38e790519ba62cf66fb814ac5c968322d5e71fc78162e6f59ca4e04834456c2c791dc6d38",
+        "0405150ccaaee1db53f4e1c0ea58605a54066225a7fc23ae791ad0146b542031fd57ba29e4ee15182586b6df694f9739fa7fef7b00af88c19ccf872d2c66d53a1108f56e65b6600a97ae0ef1a4857b08279b0204dfd2ad813ef5c34e6bdfe27fac8991bf3806f05f0d035d44226178dd216219e7e18b129d3709c58db179001a9e",
+        "0405a9c9dbc173bc7b6c232c48441ea1c4930a0371e00fa244b38107908978491f905769c86aac0f84800a617376eb2e1815c41d2dce4fee44b7c61565e13a2cdb040046d3dd09566d83190f9a966c84c8b0289f304737fb48cf9ee6c955c781bc0fcbaa1f136c04f5b146f8785aacd69a967309b2f69b8488bcc830675c8be3a1",
+        "04020bb3383933332a409fb39ca5aab2ccadb68681eccf43530dcb63f9cb3743473fb7f81c098d0a86e30a259bf3fa3c6be71b547f1e754e40ca0501b0bea07d44045fb4e63e8005790237cb3cf3097d8e1f76a649b4da577bf6f7f1521ba36edeb9c5a530407e19519b79f5569afb15313fc8556afb05e64df2d141a3a54bbe4a",
+        "0407682c4d8ded1e378053cd099af83d6b78b95d3d8db8c74a1502e4228bbc553a2f0be6b30510b54b95847102b09d0c3d9d29b8304cbad607c8c38b58b239e1130292336e90b0b012ef16c0b5aff27dddb45802aa957610476ed64a731e9b0e24279198575ccd0c176fb41942f13f7eb71551160135c9914542ae5942a8385e91",
+        "0402d45fa6ad245038e2e474c8febce5e0d483bf0fe9da58e67fd29eb0aed9278900eea9f109f0961bef25d9a95b06247b2c8b743257a45fdaaa43f3fab9e7d5c103d9c7e52ba0c1b9c31fd288cf84052a28bc22f277c11ce072ef7c65d49798ccfd81b41595cd0ef89ab1604371e399a00dde3308ca8ee8074d71e92fd95bdc97"
     ];
 
     let mut acc = G2::one();