From b14745f704a514f9fb20ada2916ec8ae80b9496e Mon Sep 17 00:00:00 2001
From: Denis Varlakov <cordial.egg6523@fastmail.com>
Date: Wed, 23 Aug 2023 12:16:51 +0000
Subject: [PATCH 1/6] Use `fast_paillier` and `rug`

---
 Cargo.lock                                 | 170 +++++++++++++--------
 Cargo.toml                                 |   3 +
 cggmp21/Cargo.toml                         |   3 +-
 cggmp21/src/key_refresh.rs                 |  14 +-
 cggmp21/src/key_refresh/aux_only.rs        |  59 ++++---
 cggmp21/src/key_refresh/non_threshold.rs   |  73 +++++----
 cggmp21/src/key_share.rs                   |  27 ++--
 cggmp21/src/lib.rs                         |   3 +-
 cggmp21/src/security_level.rs              |  25 +--
 cggmp21/src/signing.rs                     |  97 ++++++------
 cggmp21/src/trusted_dealer.rs              |  20 +--
 cggmp21/src/utils.rs                       | 112 ++++++--------
 cggmp21/src/zk/ring_pedersen_parameters.rs | 100 +++++++-----
 tests/src/bin/measure_perf.rs              |   2 +-
 tests/src/lib.rs                           |   6 +-
 tests/tests/trusted_dealer.rs              |   2 +-
 16 files changed, 398 insertions(+), 318 deletions(-)

diff --git a/Cargo.lock b/Cargo.lock
index 4a28c19..fb32645 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -104,6 +104,26 @@ version = "3.11.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "572f695136211188308f16ad2ca5c851a712c464060ae6974944458eb83880ba"
 
+[[package]]
+name = "bytemuck"
+version = "1.13.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "17febce684fd15d89027105661fec94afb475cb995fbc59d2865198446ba2eea"
+dependencies = [
+ "bytemuck_derive",
+]
+
+[[package]]
+name = "bytemuck_derive"
+version = "1.4.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "fdde5c9cd29ebd706ce1b35600920a33550e402fc998a2e53ad3b42c3c47a192"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 2.0.15",
+]
+
 [[package]]
 name = "bytes"
 version = "1.2.1"
@@ -126,7 +146,7 @@ checksum = "baf1de4339761588bc0619e3cbc0120ee582ebb74b53b4efbf79117bd2da40fd"
 name = "cggmp21"
 version = "0.0.0"
 dependencies = [
- "digest 0.10.6",
+ "digest",
  "futures",
  "generic-ec",
  "generic-ec-zkp",
@@ -358,15 +378,6 @@ dependencies = [
  "zeroize",
 ]
 
-[[package]]
-name = "digest"
-version = "0.9.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "d3dd60d1080a57a05ab032377049e0591415d2b31afd7028356dbf3cc6dcb066"
-dependencies = [
- "generic-array",
-]
-
 [[package]]
 name = "digest"
 version = "0.10.6"
@@ -411,7 +422,7 @@ dependencies = [
  "base16ct",
  "crypto-bigint",
  "der",
- "digest 0.10.6",
+ "digest",
  "ff",
  "generic-array",
  "group",
@@ -436,6 +447,18 @@ dependencies = [
  "syn 1.0.101",
 ]
 
+[[package]]
+name = "fast-paillier"
+version = "0.1.0"
+source = "git+https://github.com/dfns-labs/fast-paillier?branch=m#fec7aa7e80b7e9364d48e4d73d1100c1b6b765c2"
+dependencies = [
+ "bytemuck",
+ "rand_core",
+ "rug",
+ "serde",
+ "thiserror",
+]
+
 [[package]]
 name = "ff"
 version = "0.12.1"
@@ -600,7 +623,7 @@ name = "generic-ec-zkp"
 version = "0.1.0"
 source = "git+https://github.com/dfns-labs/generic-ec?branch=m#448b0789b9174ef14e9fe0f8a802cef59ba3dc4f"
 dependencies = [
- "digest 0.10.6",
+ "digest",
  "generic-array",
  "generic-ec",
  "rand_core",
@@ -632,12 +655,12 @@ dependencies = [
 
 [[package]]
 name = "gmp-mpfr-sys"
-version = "1.4.12"
+version = "1.6.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "2cadbfa1c6e195c872db93b584e63b751f2fc86f59af8d0870d529118e8f1045"
+checksum = "19c5c67d8c29fe87e3266e691dd60948e6e4df4496c53355ef3551142945721b"
 dependencies = [
  "libc",
- "winapi",
+ "windows-sys",
 ]
 
 [[package]]
@@ -672,7 +695,7 @@ version = "0.12.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "6c49c37c09c17a53d937dfbb742eb3a961d65a994e6bcdcf37e7399d0cc8ab5e"
 dependencies = [
- "digest 0.10.6",
+ "digest",
 ]
 
 [[package]]
@@ -757,19 +780,6 @@ version = "0.2.134"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "329c933548736bc49fd575ee68c89e8be4d260064184389a5b77517cddd99ffb"
 
-[[package]]
-name = "libpaillier"
-version = "0.5.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "1181151f174d449370cb6cf4472191f1b602e77ce233d1b314f8dbbecb3a4b16"
-dependencies = [
- "digest 0.10.6",
- "serde",
- "serde_bare",
- "unknown_order",
- "zeroize",
-]
-
 [[package]]
 name = "link-cplusplus"
 version = "1.0.8"
@@ -851,18 +861,15 @@ dependencies = [
 [[package]]
 name = "paillier-zk"
 version = "0.1.0"
-source = "git+https://github.com/dfns-labs/paillier-zk?branch=m#a2639222e07b38657344c8327cd47ebb01be6eb7"
 dependencies = [
+ "digest",
+ "fast-paillier",
  "generic-ec",
- "libpaillier",
- "rand_chacha",
  "rand_core",
+ "rug",
  "serde",
  "serde_with 3.0.0",
- "sha2",
- "subtle",
  "thiserror",
- "zeroize",
 ]
 
 [[package]]
@@ -1044,15 +1051,14 @@ dependencies = [
 
 [[package]]
 name = "rug"
-version = "1.18.0"
+version = "1.20.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "55313a5bab6820d1439c0266db37f8084e50618d35d16d81f692eee14d8b01b9"
+checksum = "240ad7cbc5fc7cea4592203f8f6100835e8ad083196491b8a9c84ce84711ff68"
 dependencies = [
  "az",
  "gmp-mpfr-sys",
  "libc",
- "num-integer",
- "num-traits",
+ "serde",
 ]
 
 [[package]]
@@ -1124,15 +1130,6 @@ dependencies = [
  "serde_derive",
 ]
 
-[[package]]
-name = "serde_bare"
-version = "0.5.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "51c55386eed0f1ae957b091dc2ca8122f287b60c79c774cbe3d5f2b69fded660"
-dependencies = [
- "serde",
-]
-
 [[package]]
 name = "serde_derive"
 version = "1.0.160"
@@ -1213,7 +1210,7 @@ checksum = "82e6b795fe2e3b1e845bafcb27aa35405c4d47cdfc92af5fc8d3002f76cebdc0"
 dependencies = [
  "cfg-if",
  "cpufeatures",
- "digest 0.10.6",
+ "digest",
 ]
 
 [[package]]
@@ -1222,7 +1219,7 @@ version = "2.0.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "8fe458c98333f9c8152221191a77e2a44e8325d0193484af2e9421a53019e57d"
 dependencies = [
- "digest 0.10.6",
+ "digest",
  "rand_core",
 ]
 
@@ -1472,22 +1469,6 @@ version = "0.2.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f962df74c8c05a667b5ee8bcf162993134c104e96440b663c8daa176dc772d8c"
 
-[[package]]
-name = "unknown_order"
-version = "0.6.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "f420886bb5b008cb452cda7b2280acff3090a2ca142bda2d82e9a06d3fa0979c"
-dependencies = [
- "digest 0.9.0",
- "hex",
- "num-traits",
- "rand",
- "rug",
- "serde",
- "subtle",
- "zeroize",
-]
-
 [[package]]
 name = "version_check"
 version = "0.9.4"
@@ -1585,6 +1566,63 @@ version = "0.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "712e227841d057c1ee1cd2fb22fa7e5a5461ae8e48fa2ca79ec42cfc1931183f"
 
+[[package]]
+name = "windows-sys"
+version = "0.42.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5a3e1820f08b8513f676f7ab6c1f99ff312fb97b553d30ff4dd86f9f15728aa7"
+dependencies = [
+ "windows_aarch64_gnullvm",
+ "windows_aarch64_msvc",
+ "windows_i686_gnu",
+ "windows_i686_msvc",
+ "windows_x86_64_gnu",
+ "windows_x86_64_gnullvm",
+ "windows_x86_64_msvc",
+]
+
+[[package]]
+name = "windows_aarch64_gnullvm"
+version = "0.42.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "597a5118570b68bc08d8d59125332c54f1ba9d9adeedeef5b99b02ba2b0698f8"
+
+[[package]]
+name = "windows_aarch64_msvc"
+version = "0.42.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e08e8864a60f06ef0d0ff4ba04124db8b0fb3be5776a5cd47641e942e58c4d43"
+
+[[package]]
+name = "windows_i686_gnu"
+version = "0.42.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "c61d927d8da41da96a81f029489353e68739737d3beca43145c8afec9a31a84f"
+
+[[package]]
+name = "windows_i686_msvc"
+version = "0.42.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "44d840b6ec649f480a41c8d80f9c65108b92d89345dd94027bfe06ac444d1060"
+
+[[package]]
+name = "windows_x86_64_gnu"
+version = "0.42.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "8de912b8b8feb55c064867cf047dda097f92d51efad5b491dfb98f6bbb70cb36"
+
+[[package]]
+name = "windows_x86_64_gnullvm"
+version = "0.42.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "26d41b46a36d453748aedef1486d5c7a85db22e56aff34643984ea85514e94a3"
+
+[[package]]
+name = "windows_x86_64_msvc"
+version = "0.42.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9aec5da331524158c6d1a4ac0ab1541149c0b9505fde06423b02f5ef0106b9f0"
+
 [[package]]
 name = "zeroize"
 version = "1.5.7"
diff --git a/Cargo.toml b/Cargo.toml
index f6c4613..45b9184 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -3,3 +3,6 @@ members = [
     "cggmp21",
     "tests",
 ]
+
+[patch."https://github.com/dfns-labs/paillier-zk".paillier-zk]
+path = "../paillier-zk"
diff --git a/cggmp21/Cargo.toml b/cggmp21/Cargo.toml
index d09deb7..71e9636 100644
--- a/cggmp21/Cargo.toml
+++ b/cggmp21/Cargo.toml
@@ -12,7 +12,7 @@ generic-ec = { git = "https://github.com/dfns-labs/generic-ec", branch = "m", fe
 generic-ec-zkp = { git = "https://github.com/dfns-labs/generic-ec", branch = "m", features = ["serde"] }
 round-based = { git = "https://github.com/Zengo-X/round-based-protocol", branch = "round-based2", features = ["derive"] }
 
-paillier-zk = { git = "https://github.com/dfns-labs/paillier-zk", branch = "m", default-features = false, features = ["serde"] }
+paillier-zk = { git = "https://github.com/dfns-labs/paillier-zk", branch = "m", features = ["serde"] }
 
 digest = "0.10"
 sha2 = "0.10"
@@ -38,7 +38,6 @@ rand_chacha = "0.3"
 generic-tests = "0.1"
 
 [features]
-default = ["paillier-zk/gmp"]
 all-curves = ["curve-secp256k1", "curve-secp256r1"]
 curve-secp256k1 = ["generic-ec/curve-secp256k1"]
 curve-secp256r1 = ["generic-ec/curve-secp256r1"]
diff --git a/cggmp21/src/key_refresh.rs b/cggmp21/src/key_refresh.rs
index cd65fac..fb292bb 100644
--- a/cggmp21/src/key_refresh.rs
+++ b/cggmp21/src/key_refresh.rs
@@ -7,7 +7,6 @@ mod non_threshold;
 
 use digest::Digest;
 use generic_ec::{hash_to_curve::FromHash, Curve, Scalar};
-use paillier_zk::unknown_order::BigNumber;
 use rand_core::{CryptoRng, RngCore};
 use round_based::Mpc;
 use thiserror::Error;
@@ -20,6 +19,7 @@ use crate::{
     utils::AbortBlame,
     ExecutionId,
 };
+use crate::{fast_paillier, rug::Integer};
 
 #[doc(no_inline)]
 pub use self::msg::{aux_only::Msg as AuxOnlyMsg, non_threshold::Msg as NonThresholdMsg};
@@ -44,8 +44,8 @@ pub mod msg {
 /// generated ahead of time
 #[derive(Debug, Clone, serde::Serialize, serde::Deserialize)]
 pub struct PregeneratedPrimes<L = crate::default_choice::SecurityLevel> {
-    p: BigNumber,
-    q: BigNumber,
+    p: Integer,
+    q: Integer,
     _phantom: std::marker::PhantomData<L>,
 }
 
@@ -56,7 +56,7 @@ impl<L: SecurityLevel> PregeneratedPrimes<L> {
     ///
     /// Function doesn't validate that provided numbers are primes. If they're not,
     /// key refresh protocol should fail with some ZK proof error.
-    pub fn new(p: BigNumber, q: BigNumber) -> Option<Self> {
+    pub fn new(p: Integer, q: Integer) -> Option<Self> {
         if !crate::security_level::validate_secret_paillier_key_size::<L>(&p, &q) {
             None
         } else {
@@ -69,15 +69,15 @@ impl<L: SecurityLevel> PregeneratedPrimes<L> {
     }
 
     /// Returns `p, q`
-    pub fn split(self) -> (BigNumber, BigNumber) {
+    pub fn split(self) -> (Integer, Integer) {
         (self.p, self.q)
     }
 
     /// Generates primes. Takes some time.
     pub fn generate<R: RngCore>(rng: &mut R) -> Self {
         Self {
-            p: BigNumber::safe_prime_from_rng(4 * L::SECURITY_BITS, rng),
-            q: BigNumber::safe_prime_from_rng(4 * L::SECURITY_BITS, rng),
+            p: fast_paillier::utils::generate_safe_prime(rng, 4 * L::SECURITY_BITS),
+            q: fast_paillier::utils::generate_safe_prime(rng, 4 * L::SECURITY_BITS),
             _phantom: std::marker::PhantomData,
         }
     }
diff --git a/cggmp21/src/key_refresh/aux_only.rs b/cggmp21/src/key_refresh/aux_only.rs
index f68a715..6be24b5 100644
--- a/cggmp21/src/key_refresh/aux_only.rs
+++ b/cggmp21/src/key_refresh/aux_only.rs
@@ -2,8 +2,10 @@ use digest::Digest;
 use futures::SinkExt;
 use generic_ec_zkp::hash_commitment::{self, HashCommit};
 use paillier_zk::{
-    no_small_factor::non_interactive as π_fac, paillier_blum_modulus as π_mod,
-    unknown_order::BigNumber, BigNumberExt,
+    no_small_factor::non_interactive as π_fac,
+    paillier_blum_modulus as π_mod,
+    rug::{self, Complete, Integer},
+    IntegerExt,
 };
 use rand_core::{CryptoRng, RngCore};
 use round_based::{
@@ -53,11 +55,11 @@ pub struct MsgRound1<D: Digest> {
 #[serde(bound = "")]
 pub struct MsgRound2<D: Digest, L: SecurityLevel> {
     /// $N_i$
-    pub N: BigNumber,
+    pub N: Integer,
     /// $s_i$
-    pub s: BigNumber,
+    pub s: Integer,
     /// $t_i$
-    pub t: BigNumber,
+    pub t: Integer,
     /// $\hat \psi_i$
     // this should be L::M instead, but no rustc support yet
     pub params_proof: π_prm::Proof<{ crate::security_level::M }>,
@@ -127,14 +129,16 @@ where
     tracer.stage("Retrieve primes (p and q)");
     let PregeneratedPrimes { p, q, .. } = pregenerated;
     tracer.stage("Compute paillier decryption key (N)");
-    let N = &p * &q;
-    let phi_N = (&p - 1) * (&q - 1);
+    let N = (&p * &q).complete();
+    let phi_N = (&p - 1u8).complete() * (&q - 1u8).complete();
 
     tracer.stage("Generate auxiliary params r, λ, t, s");
-    let r = utils::sample_bigint_in_mult_group(rng, &N);
-    let lambda = BigNumber::from_rng(&phi_N, rng);
-    let t = r.modmul(&r, &N);
-    let s = t.powmod(&lambda, &N).map_err(|_| Bug::PowMod)?;
+    let r = Integer::gen_inversible(&N, rng);
+    let lambda = phi_N
+        .random_below_ref(&mut utils::external_rand(rng))
+        .into();
+    let t = r.square().modulo(&N);
+    let s = t.pow_mod_ref(&lambda, &N).ok_or(Bug::PowMod)?.into();
 
     tracer.stage("Prove Πprm (ψˆ_i)");
     let hat_psi = π_prm::prove(
@@ -158,15 +162,16 @@ where
     tracer.stage("Compute hash commitment and sample decommitment");
     // V_i and u_i in paper
     // TODO: decommitment should be kappa bits
+    let order = rug::integer::Order::Msf;
     let (hash_commit, decommit) = HashCommit::<D>::builder()
         .mix_bytes(sid)
         .mix(n)
         .mix(i)
-        .mix_bytes(&N.to_bytes())
-        .mix_bytes(&s.to_bytes())
-        .mix_bytes(&t.to_bytes())
-        .mix_many_bytes(hat_psi.commitment.iter().map(|x| x.to_bytes()))
-        .mix_many_bytes(hat_psi.zs.iter().map(|x| x.to_bytes()))
+        .mix_bytes(&N.to_digits::<u8>(order))
+        .mix_bytes(&s.to_digits::<u8>(order))
+        .mix_bytes(&t.to_digits::<u8>(order))
+        .mix_many_bytes(hat_psi.commitment.iter().map(|x| x.to_digits::<u8>(order)))
+        .mix_many_bytes(hat_psi.zs.iter().map(|x| x.to_digits::<u8>(order)))
         .mix_bytes(&rho_bytes)
         .commit(rng);
 
@@ -260,11 +265,23 @@ where
             .mix_bytes(sid)
             .mix(n)
             .mix(j)
-            .mix_bytes(decomm.N.to_bytes())
-            .mix_bytes(decomm.s.to_bytes())
-            .mix_bytes(decomm.t.to_bytes())
-            .mix_many_bytes(decomm.params_proof.commitment.iter().map(|x| x.to_bytes()))
-            .mix_many_bytes(decomm.params_proof.zs.iter().map(|x| x.to_bytes()))
+            .mix_bytes(decomm.N.to_digits::<u8>(order))
+            .mix_bytes(decomm.s.to_digits::<u8>(order))
+            .mix_bytes(decomm.t.to_digits::<u8>(order))
+            .mix_many_bytes(
+                decomm
+                    .params_proof
+                    .commitment
+                    .iter()
+                    .map(|x| x.to_digits::<u8>(order)),
+            )
+            .mix_many_bytes(
+                decomm
+                    .params_proof
+                    .zs
+                    .iter()
+                    .map(|x| x.to_digits::<u8>(order)),
+            )
             .mix_bytes(&decomm.rho_bytes)
             .verify(&comm.commitment, &decomm.decommit)
             .is_err()
diff --git a/cggmp21/src/key_refresh/non_threshold.rs b/cggmp21/src/key_refresh/non_threshold.rs
index 328bf93..53711c4 100644
--- a/cggmp21/src/key_refresh/non_threshold.rs
+++ b/cggmp21/src/key_refresh/non_threshold.rs
@@ -9,8 +9,11 @@ use generic_ec_zkp::{
     schnorr_pok,
 };
 use paillier_zk::{
-    libpaillier, no_small_factor::non_interactive as π_fac, paillier_blum_modulus as π_mod,
-    unknown_order::BigNumber, BigNumberExt, SafePaillierDecryptionExt, SafePaillierEncryptionExt,
+    fast_paillier,
+    no_small_factor::non_interactive as π_fac,
+    paillier_blum_modulus as π_mod,
+    rug::{self, Complete, Integer},
+    IntegerExt,
 };
 use rand_core::{CryptoRng, RngCore};
 use round_based::ProtocolMessage;
@@ -67,11 +70,11 @@ pub struct MsgRound2<E: Curve, D: Digest, L: SecurityLevel> {
     /// $\vec A_i$
     pub sch_commits_a: Vec<schnorr_pok::Commit<E>>,
     /// $N_i$
-    pub N: BigNumber,
+    pub N: Integer,
     /// $s_i$
-    pub s: BigNumber,
+    pub s: Integer,
     /// $t_i$
-    pub t: BigNumber,
+    pub t: Integer,
     /// $\hat \psi_i$
     // this should be L::M instead, but no rustc support yet
     pub params_proof: π_prm::Proof<{ crate::security_level::M }>,
@@ -95,7 +98,7 @@ pub struct MsgRound3<E: Curve> {
     /// $\phi_i^j$
     pub fac_proof: π_fac::Proof,
     /// $C_i^j$
-    pub C: BigNumber,
+    pub C: Integer,
     /// $\psi_i^k$
     ///
     /// Here in the paper you only send one proof, but later they require you to
@@ -154,10 +157,11 @@ where
     tracer.stage("Retrieve primes (p and q)");
     let PregeneratedPrimes { p, q, .. } = pregenerated;
     tracer.stage("Compute paillier decryption key (N)");
-    let N = &p * &q;
-    let phi_N = (&p - 1) * (&q - 1);
-    let dec =
-        libpaillier::DecryptionKey::with_primes_unchecked(&p, &q).ok_or(Bug::PaillierKeyError)?;
+    let N = (&p * &q).complete();
+    let phi_N = (&p - 1u8).complete() * (&q - 1u8).complete();
+    let dec: fast_paillier::DecryptionKey =
+        fast_paillier::DecryptionKey::from_primes(p.clone(), q.clone())
+            .map_err(|_| Bug::PaillierKeyError)?;
 
     // *x_i* in paper
     tracer.stage("Generate secret x_i and public X_i");
@@ -176,10 +180,12 @@ where
         .collect::<Vec<_>>();
 
     tracer.stage("Generate auxiliary params r, λ, t, s");
-    let r = utils::sample_bigint_in_mult_group(rng, &N);
-    let lambda = BigNumber::from_rng(&phi_N, rng);
-    let t = r.modmul(&r, &N);
-    let s = t.powmod(&lambda, &N).map_err(|_| Bug::PowMod)?;
+    let r = Integer::gen_inversible(&N, rng);
+    let lambda = phi_N
+        .random_below_ref(&mut utils::external_rand(rng))
+        .into();
+    let t = r.square().modulo(&N);
+    let s = t.pow_mod_ref(&lambda, &N).ok_or(Bug::PowMod)?.into();
 
     tracer.stage("Prove Πprm (ψˆ_i)");
     let hat_psi = π_prm::prove(
@@ -209,17 +215,18 @@ where
     tracer.stage("Compute hash commitment and sample decommitment");
     // V_i and u_i in paper
     // TODO: decommitment should be kappa bits
+    let order = rug::integer::Order::Msf;
     let (hash_commit, decommit) = HashCommit::<D>::builder()
         .mix_bytes(sid)
         .mix(n)
         .mix(i)
         .mix_many(&Xs)
         .mix_many(As.iter().map(|a| a.0))
-        .mix_bytes(&N.to_bytes())
-        .mix_bytes(&s.to_bytes())
-        .mix_bytes(&t.to_bytes())
-        .mix_many_bytes(hat_psi.commitment.iter().map(|x| x.to_bytes()))
-        .mix_many_bytes(hat_psi.zs.iter().map(|x| x.to_bytes()))
+        .mix_bytes(&N.to_digits::<u8>(order))
+        .mix_bytes(&s.to_digits::<u8>(order))
+        .mix_bytes(&t.to_digits::<u8>(order))
+        .mix_many_bytes(hat_psi.commitment.iter().map(|x| x.to_digits::<u8>(order)))
+        .mix_many_bytes(hat_psi.zs.iter().map(|x| x.to_digits::<u8>(order)))
         .mix_bytes(&rho_bytes)
         .commit(rng);
 
@@ -317,11 +324,23 @@ where
             .mix(j)
             .mix_many(&decomm.Xs)
             .mix_many(decomm.sch_commits_a.iter().map(|a| a.0))
-            .mix_bytes(decomm.N.to_bytes())
-            .mix_bytes(decomm.s.to_bytes())
-            .mix_bytes(decomm.t.to_bytes())
-            .mix_many_bytes(decomm.params_proof.commitment.iter().map(|x| x.to_bytes()))
-            .mix_many_bytes(decomm.params_proof.zs.iter().map(|x| x.to_bytes()))
+            .mix_bytes(decomm.N.to_digits::<u8>(order))
+            .mix_bytes(decomm.s.to_digits::<u8>(order))
+            .mix_bytes(decomm.t.to_digits::<u8>(order))
+            .mix_many_bytes(
+                decomm
+                    .params_proof
+                    .commitment
+                    .iter()
+                    .map(|x| x.to_digits::<u8>(order)),
+            )
+            .mix_many_bytes(
+                decomm
+                    .params_proof
+                    .zs
+                    .iter()
+                    .map(|x| x.to_digits::<u8>(order)),
+            )
             .mix_bytes(&decomm.rho_bytes)
             .verify(&comm.commitment, &decomm.decommit)
             .is_err()
@@ -373,7 +392,7 @@ where
     // encryption keys for each party
     let encs = decommitments
         .iter()
-        .map(|d| utils::encryption_key_from_n(&d.N))
+        .map(|d| fast_paillier::EncryptionKey::from_n(d.N.clone()))
         .collect::<Vec<_>>();
 
     tracer.stage("Add together shared random bytes");
@@ -426,7 +445,7 @@ where
     for (((x, enc), d), j) in iterator {
         tracer.stage("Paillier encryption of x_i^j");
         let (C, _) = enc
-            .encrypt_with_random(&scalar_to_bignumber(x), &mut rng)
+            .encrypt_with_random(&mut rng, &scalar_to_bignumber(x))
             .map_err(|_| Bug::PaillierEnc)?;
         tracer.stage("Compute П_fac (ф_i^j)");
         let phi = π_fac::prove(
@@ -478,7 +497,7 @@ where
     let (shares, blame) =
         utils::partition_results(shares_msg_b.iter_indexed().map(|(j, mid, m)| {
             let bigint = dec
-                .decrypt_to_bigint(&m.C)
+                .decrypt(&m.C)
                 .map_err(|_| AbortBlame::new(j, mid, mid))?;
             Ok::<_, AbortBlame>(bigint.to_scalar())
         }));
diff --git a/cggmp21/src/key_share.rs b/cggmp21/src/key_share.rs
index 057e4e7..dcb80e1 100644
--- a/cggmp21/src/key_share.rs
+++ b/cggmp21/src/key_share.rs
@@ -6,8 +6,8 @@ use std::{fmt, ops};
 use generic_ec::serde::{Compact, CurveName};
 use generic_ec::{Curve, NonZero, Point, Scalar, SecretScalar};
 use generic_ec_zkp::polynomial::lagrange_coefficient;
-use paillier_zk::libpaillier::unknown_order::BigNumber;
 use paillier_zk::paillier_encryption_in_range as π_enc;
+use paillier_zk::rug::{Complete, Integer};
 use serde::{Deserialize, Serialize};
 use serde_with::serde_as;
 use thiserror::Error;
@@ -63,9 +63,9 @@ pub struct DirtyIncompleteKeyShare<E: Curve> {
 #[serde(bound = "")]
 pub struct DirtyAuxInfo<L: SecurityLevel = crate::default_choice::SecurityLevel> {
     /// Secret prime $p$
-    pub p: BigNumber,
+    pub p: Integer,
     /// Secret prime $q$
-    pub q: BigNumber,
+    pub q: Integer,
     /// Public auxiliary data of all parties sharing the key
     ///
     /// `parties[i]` corresponds to public auxiliary data of $\ith$ party
@@ -92,11 +92,11 @@ pub struct DirtyKeyShare<E: Curve, L: SecurityLevel = crate::default_choice::Sec
 #[serde(bound = "")]
 pub struct PartyAux {
     /// $N_i = p_i \cdot q_i$
-    pub N: BigNumber,
+    pub N: Integer,
     /// Ring-Perdesten parameter $s_i$
-    pub s: BigNumber,
+    pub s: Integer,
     /// Ring-Perdesten parameter $t_i$
-    pub t: BigNumber,
+    pub t: Integer,
 }
 
 #[derive(Debug, Clone, Serialize, Deserialize, PartialEq, Eq)]
@@ -206,11 +206,10 @@ impl<L: SecurityLevel> DirtyAuxInfo<L> {
     /// Performs consistency checks against aux info, returns a valid share
     /// you can use with other algorithms
     pub fn validate(&self) -> Result<(), InvalidKeyShare> {
-        if self
-            .parties
-            .iter()
-            .any(|p| p.s.gcd(&p.N) != BigNumber::one() || p.t.gcd(&p.N) != BigNumber::one())
-        {
+        if self.parties.iter().any(|p| {
+            p.s.gcd_ref(&p.N).complete() != *Integer::ONE
+                || p.t.gcd_ref(&p.N).complete() != *Integer::ONE
+        }) {
             return Err(InvalidKeyShareReason::StGcdN.into());
         }
 
@@ -225,7 +224,7 @@ impl<L: SecurityLevel> DirtyAuxInfo<L> {
         {
             return Err(InvalidKeyShareReason::PaillierPkTooSmall {
                 required: 8 * L::SECURITY_BITS - 1,
-                actual: invalid_aux.N.bit_length(),
+                actual: invalid_aux.N.significant_bits(),
             }
             .into());
         }
@@ -242,7 +241,7 @@ impl<E: Curve, L: SecurityLevel> DirtyKeyShare<E, L> {
         }
 
         let N_i = &self.aux.parties[usize::from(self.core.i)].N;
-        if *N_i != &self.aux.p * &self.aux.q {
+        if *N_i != (&self.aux.p * &self.aux.q).complete() {
             return Err(InvalidKeyShareReason::PrimesMul.into());
         }
 
@@ -591,7 +590,7 @@ enum InvalidKeyShareReason {
     #[error("paillier secret key doesn't match security level (primes are too small)")]
     PaillierSkTooSmall,
     #[error("paillier public key of one of the signers doesn't match security level: required bit length = {required}, actual = {actual}")]
-    PaillierPkTooSmall { required: usize, actual: usize },
+    PaillierPkTooSmall { required: u32, actual: u32 },
 }
 
 /// Error indicating that [key reconstruction](reconstruct_secret_key) failed
diff --git a/cggmp21/src/lib.rs b/cggmp21/src/lib.rs
index 3992ef6..b12f83d 100644
--- a/cggmp21/src/lib.rs
+++ b/cggmp21/src/lib.rs
@@ -207,7 +207,8 @@
 #![cfg_attr(docsrs, feature(doc_auto_cfg))]
 
 pub use {
-    generic_ec, paillier_zk, paillier_zk::libpaillier, paillier_zk::libpaillier::unknown_order,
+    generic_ec, paillier_zk,
+    paillier_zk::{fast_paillier, rug},
     round_based,
 };
 
diff --git a/cggmp21/src/security_level.rs b/cggmp21/src/security_level.rs
index 3b1da07..a063005 100644
--- a/cggmp21/src/security_level.rs
+++ b/cggmp21/src/security_level.rs
@@ -9,7 +9,7 @@
 //! analyzed the CGGMP paper and you understand implications. Inconsistent security level may cause unexpected
 //! unverbose runtime error or reduced security of the protocol.
 
-use paillier_zk::libpaillier::unknown_order::BigNumber;
+use crate::rug::Integer;
 
 /// Hardcoded value for parameter $m$ of security level
 ///
@@ -22,7 +22,7 @@ pub const M: usize = 128;
 /// You should not implement this trait manually. Use [define_security_level] macro instead.
 pub trait SecurityLevel: Clone + Sync + Send + 'static {
     /// $\kappa$ bits of security
-    const SECURITY_BITS: usize;
+    const SECURITY_BITS: u32;
     /// $\kappa/8$ bytes of security
     const SECURITY_BYTES: usize;
 
@@ -57,14 +57,15 @@ pub trait SecurityLevel: Clone + Sync + Send + 'static {
     ///
     /// Note that it's not curve order, and it doesn't need to be a prime, it's another security parameter
     /// that determines security level.
-    fn q() -> BigNumber;
+    fn q() -> Integer;
 }
 
 /// Internal module that's powers `define_security_level` macro
 #[doc(hidden)]
 pub mod _internal {
     use hex::FromHex;
-    pub use paillier_zk::libpaillier::unknown_order::BigNumber;
+
+    pub use crate::rug::Integer;
 
     #[derive(Clone)]
     pub struct Rid<const N: usize>([u8; N]);
@@ -135,7 +136,7 @@ macro_rules! define_security_level {
         q = $q:expr,
     }) => {
         impl $crate::security_level::SecurityLevel for $struct_name {
-            const SECURITY_BITS: usize = $k;
+            const SECURITY_BITS: u32 = $k;
             const SECURITY_BYTES: usize = $k / 8;
             const EPSILON: usize = $e;
             const ELL: usize = $ell;
@@ -143,7 +144,7 @@ macro_rules! define_security_level {
             const M: usize = 128;
             type Rid = $crate::security_level::_internal::Rid<{$k / 8}>;
 
-            fn q() -> $crate::security_level::_internal::BigNumber {
+            fn q() -> $crate::security_level::_internal::Integer {
                 $q
             }
         }
@@ -174,18 +175,18 @@ define_security_level!(ReasonablySecure{
     ell = 256,
     ell_prime = 848,
     m = 128,
-    q = BigNumber::one() << 128,
+    q = (Integer::ONE << 128_u32).into(),
 });
 
 /// Checks that public paillier key meets security level constraints
-pub(crate) fn validate_public_paillier_key_size<L: SecurityLevel>(N: &BigNumber) -> bool {
-    N.bit_length() >= 8 * L::SECURITY_BITS - 1
+pub(crate) fn validate_public_paillier_key_size<L: SecurityLevel>(N: &Integer) -> bool {
+    N.significant_bits() >= 8 * L::SECURITY_BITS - 1
 }
 
 /// Checks that secret paillier key meets security level constraints
 pub(crate) fn validate_secret_paillier_key_size<L: SecurityLevel>(
-    p: &BigNumber,
-    q: &BigNumber,
+    p: &Integer,
+    q: &Integer,
 ) -> bool {
-    p.bit_length() >= 4 * L::SECURITY_BITS && q.bit_length() >= 4 * L::SECURITY_BITS
+    p.significant_bits() >= 4 * L::SECURITY_BITS && q.significant_bits() >= 4 * L::SECURITY_BITS
 }
diff --git a/cggmp21/src/signing.rs b/cggmp21/src/signing.rs
index 2241f54..8986035 100644
--- a/cggmp21/src/signing.rs
+++ b/cggmp21/src/signing.rs
@@ -6,11 +6,12 @@ use generic_ec::{
     coords::AlwaysHasAffineX, hash_to_curve::FromHash, Curve, NonZero, Point, Scalar, SecretScalar,
 };
 use generic_ec_zkp::polynomial::lagrange_coefficient;
-use paillier_zk::libpaillier::{unknown_order::BigNumber, DecryptionKey};
+use paillier_zk::rug::Complete;
+use paillier_zk::{fast_paillier, rug::Integer};
 use paillier_zk::{
     group_element_vs_paillier_encryption_in_range as pi_log,
     paillier_affine_operation_in_range as pi_aff, paillier_encryption_in_range as pi_enc,
-    BigNumberExt, SafePaillierDecryptionExt, SafePaillierEncryptionExt,
+    IntegerExt,
 };
 use rand_core::{CryptoRng, RngCore};
 use round_based::{
@@ -24,12 +25,7 @@ use crate::errors::IoError;
 use crate::key_share::{KeyShare, PartyAux, VssSetup};
 use crate::progress::Tracer;
 use crate::utils::{hash_message, iter_peers, subset, HashMessageError};
-use crate::{
-    key_share::InvalidKeyShare,
-    security_level::SecurityLevel,
-    utils::{encryption_key_from_n, scalar_to_bignumber},
-    ExecutionId,
-};
+use crate::{key_share::InvalidKeyShare, security_level::SecurityLevel, utils, ExecutionId};
 
 use self::msg::*;
 
@@ -117,8 +113,7 @@ pub mod msg {
     use generic_ec::Curve;
     use generic_ec::{Point, Scalar};
 
-    use libpaillier::Ciphertext;
-    use paillier_zk::libpaillier;
+    use paillier_zk::fast_paillier;
     use paillier_zk::{
         group_element_vs_paillier_encryption_in_range as pi_log,
         paillier_affine_operation_in_range as pi_aff, paillier_encryption_in_range as pi_enc,
@@ -151,9 +146,9 @@ pub mod msg {
     #[derive(Clone, Serialize, Deserialize)]
     pub struct MsgRound1a {
         /// $K_i$
-        pub K: libpaillier::Ciphertext,
+        pub K: fast_paillier::Ciphertext,
         /// $G_i$
-        pub G: libpaillier::Ciphertext,
+        pub G: fast_paillier::Ciphertext,
     }
 
     /// Message from round 1b
@@ -170,13 +165,13 @@ pub mod msg {
         /// $\Gamma_i$
         pub Gamma: Point<E>,
         /// $D_{j,i}$
-        pub D: Ciphertext,
+        pub D: fast_paillier::Ciphertext,
         /// $F_{j,i}$
-        pub F: Ciphertext,
+        pub F: fast_paillier::Ciphertext,
         /// $\hat D_{j,i}$
-        pub hat_D: Ciphertext,
+        pub hat_D: fast_paillier::Ciphertext,
         /// $\hat F_{j,i}$
-        pub hat_F: Ciphertext,
+        pub hat_F: fast_paillier::Ciphertext,
         /// $\psi_{j,i}$
         pub psi: (pi_aff::Commitment<E>, pi_aff::Proof),
         /// $\hat \psi_{j,i}$
@@ -460,8 +455,8 @@ async fn signing_n_out_of_n<M, E, L, D, R>(
     x_i: &SecretScalar<E>,
     X: &[Point<E>],
     pk: Point<E>,
-    p_i: &BigNumber,
-    q_i: &BigNumber,
+    p_i: &Integer,
+    q_i: &Integer,
     R: &[PartyAux],
     message_to_sign: Option<DataToSign<E>>,
     enforce_reliable_broadcast: bool,
@@ -481,8 +476,10 @@ where
     tracer.stage("Retrieve auxiliary data");
     let R_i = &R[usize::from(i)];
     let N_i = &R_i.N;
-    let enc_i = encryption_key_from_n(N_i);
-    let dec_i = DecryptionKey::with_primes(p_i, q_i).ok_or(Bug::InvalidOwnPaillierKey)?;
+    let enc_i = fast_paillier::EncryptionKey::from_n(N_i.clone());
+    let dec_i: fast_paillier::DecryptionKey =
+        fast_paillier::DecryptionKey::from_primes(p_i.clone(), q_i.clone())
+            .map_err(|_| Bug::InvalidOwnPaillierKey)?;
 
     tracer.stage("Precompute execution id and security params");
     let sid = sid.as_bytes();
@@ -505,15 +502,15 @@ where
     let gamma_i = SecretScalar::<E>::random(rng);
     let k_i = SecretScalar::<E>::random(rng);
 
-    let v_i = BigNumber::gen_inversible(N_i, rng);
-    let rho_i = BigNumber::gen_inversible(N_i, rng);
+    let v_i = Integer::gen_inversible(N_i, rng);
+    let rho_i = Integer::gen_inversible(N_i, rng);
 
     tracer.stage("Encrypt G_i and K_i");
     let G_i = enc_i
-        .encrypt_with(&scalar_to_bignumber(&gamma_i), &v_i)
+        .encrypt_with(&utils::scalar_to_bignumber(&gamma_i), &v_i)
         .map_err(|_| Bug::PaillierEnc(BugSource::G_i))?;
     let K_i = enc_i
-        .encrypt_with(&scalar_to_bignumber(&k_i), &rho_i)
+        .encrypt_with(&utils::scalar_to_bignumber(&k_i), &rho_i)
         .map_err(|_| Bug::PaillierEnc(BugSource::K_i))?;
 
     tracer.send_msg();
@@ -539,7 +536,7 @@ where
                 ciphertext: K_i.clone(),
             },
             &pi_enc::PrivateData {
-                plaintext: scalar_to_bignumber(&k_i),
+                plaintext: utils::scalar_to_bignumber(&k_i),
                 nonce: rho_i.clone(),
             },
             &security_params.pi_enc,
@@ -622,7 +619,7 @@ where
                 parties_shared_state.clone().chain_update(j.to_be_bytes()),
                 &R_i.into(),
                 &pi_enc::Data {
-                    key: encryption_key_from_n(&R_j.N),
+                    key: fast_paillier::EncryptionKey::from_n(R_j.N.clone()),
                     ciphertext: ciphertext.K.clone(),
                 },
                 &proof.psi0.0,
@@ -642,7 +639,7 @@ where
 
     // Step 2
     let Gamma_i = Point::generator() * &gamma_i;
-    let J = BigNumber::one() << L::ELL_PRIME;
+    let J = (Integer::ONE << L::ELL_PRIME).complete();
 
     let mut beta_sum = Scalar::zero();
     let mut hat_beta_sum = Scalar::zero();
@@ -650,15 +647,15 @@ where
         tracer.stage("Sample random r, hat_r, s, hat_s, beta, hat_beta");
         let R_j = &R[usize::from(j)];
         let N_j = &R_j.N;
-        let enc_j = encryption_key_from_n(N_j);
+        let enc_j = fast_paillier::EncryptionKey::from_n(N_j.clone());
 
-        let r_ij = BigNumber::from_rng(N_i, rng);
-        let hat_r_ij = BigNumber::from_rng(N_i, rng);
-        let s_ij = BigNumber::from_rng(N_j, rng);
-        let hat_s_ij = BigNumber::from_rng(N_j, rng);
+        let r_ij = N_i.random_below_ref(&mut utils::external_rand(rng)).into();
+        let hat_r_ij = N_i.random_below_ref(&mut utils::external_rand(rng)).into();
+        let s_ij = N_i.random_below_ref(&mut utils::external_rand(rng)).into();
+        let hat_s_ij = N_i.random_below_ref(&mut utils::external_rand(rng)).into();
 
-        let beta_ij = BigNumber::from_rng_pm(&J, rng);
-        let hat_beta_ij = BigNumber::from_rng_pm(&J, rng);
+        let beta_ij = Integer::from_rng_pm(&J, rng);
+        let hat_beta_ij = Integer::from_rng_pm(&J, rng);
 
         beta_sum += beta_ij.to_scalar();
         hat_beta_sum += hat_beta_ij.to_scalar();
@@ -667,10 +664,10 @@ where
         // D_ji = (gamma_i * K_j) + enc_j(-beta_ij, s_ij)
         let D_ji = {
             let gamma_i_times_K_j = enc_j
-                .omul(&scalar_to_bignumber(&gamma_i), &ciphertext_j.K)
+                .omul(&utils::scalar_to_bignumber(&gamma_i), &ciphertext_j.K)
                 .map_err(|_| Bug::PaillierOp(BugSource::gamma_i_times_K_j))?;
             let neg_beta_ij_enc = enc_j
-                .encrypt_with(&-&beta_ij, &s_ij)
+                .encrypt_with(&(-&beta_ij).complete(), &s_ij)
                 .map_err(|_| Bug::PaillierEnc(BugSource::neg_beta_ij_enc))?;
             enc_j
                 .oadd(&gamma_i_times_K_j, &neg_beta_ij_enc)
@@ -679,17 +676,17 @@ where
 
         tracer.stage("Encrypt F_ji");
         let F_ji = enc_i
-            .encrypt_with(&-&beta_ij, &r_ij)
+            .encrypt_with(&(-&beta_ij).complete(), &r_ij)
             .map_err(|_| Bug::PaillierEnc(BugSource::F_ji))?;
 
         tracer.stage("Encrypt hat_D_ji");
         // Dˆ_ji = (x_i * K_j) + enc_j(-hat_beta_ij, hat_s_ij)
         let hat_D_ji = {
             let x_i_times_K_j = enc_j
-                .omul(&scalar_to_bignumber(x_i), &ciphertext_j.K)
+                .omul(&utils::scalar_to_bignumber(x_i), &ciphertext_j.K)
                 .map_err(|_| Bug::PaillierOp(BugSource::x_i_times_K_j))?;
             let neg_hat_beta_ij_enc = enc_j
-                .encrypt_with(&-&hat_beta_ij, &hat_s_ij)
+                .encrypt_with(&(-&hat_beta_ij).complete(), &hat_s_ij)
                 .map_err(|_| Bug::PaillierEnc(BugSource::hat_beta_ij_enc))?;
             enc_j
                 .oadd(&x_i_times_K_j, &neg_hat_beta_ij_enc)
@@ -698,7 +695,7 @@ where
 
         tracer.stage("Encrypt hat_F_ji");
         let hat_F_ji = enc_i
-            .encrypt_with(&-&hat_beta_ij, &hat_r_ij)
+            .encrypt_with(&(-&hat_beta_ij).complete(), &hat_r_ij)
             .map_err(|_| Bug::PaillierEnc(BugSource::hat_F))?;
 
         tracer.stage("Prove psi_ji");
@@ -715,8 +712,8 @@ where
                 x: Gamma_i,
             },
             &pi_aff::PrivateData {
-                x: scalar_to_bignumber(&gamma_i),
-                y: -&beta_ij,
+                x: utils::scalar_to_bignumber(&gamma_i),
+                y: (-&beta_ij).complete(),
                 nonce: s_ij.clone(),
                 nonce_y: r_ij.clone(),
             },
@@ -738,8 +735,8 @@ where
                 x: Point::generator() * x_i,
             },
             &pi_aff::PrivateData {
-                x: scalar_to_bignumber(x_i),
-                y: -&hat_beta_ij,
+                x: utils::scalar_to_bignumber(x_i),
+                y: (-&hat_beta_ij).complete(),
                 nonce: hat_s_ij.clone(),
                 nonce_y: hat_r_ij.clone(),
             },
@@ -759,7 +756,7 @@ where
                 b: Point::<E>::generator().to_point(),
             },
             &pi_log::PrivateData {
-                x: scalar_to_bignumber(&gamma_i),
+                x: utils::scalar_to_bignumber(&gamma_i),
                 nonce: v_i.clone(),
             },
             &security_params.pi_log,
@@ -805,7 +802,7 @@ where
         tracer.stage("Retrieve auxiliary data");
         let X_j = X[usize::from(j)];
         let R_j = &R[usize::from(j)];
-        let enc_j = encryption_key_from_n(&R_j.N);
+        let enc_j = fast_paillier::EncryptionKey::from_n(R_j.N.clone());
         let cst_j = parties_shared_state.clone().chain_update(j.to_be_bytes());
 
         tracer.stage("Validate psi");
@@ -885,7 +882,7 @@ where
             .map(|msg| &msg.D)
             .try_fold(Scalar::<E>::zero(), |sum, D_ij| {
                 let alpha_ij = dec_i
-                    .decrypt_to_bigint(D_ij)
+                    .decrypt(D_ij)
                     .map_err(|_| Bug::PaillierDec(BugSource::alpha))?;
                 Ok::<_, Bug>(sum + alpha_ij.to_scalar())
             })?;
@@ -895,7 +892,7 @@ where
             .map(|msg| &msg.hat_D)
             .try_fold(Scalar::zero(), |sum, hat_D_ij| {
                 let hat_alpha_ij = dec_i
-                    .decrypt_to_bigint(hat_D_ij)
+                    .decrypt(hat_D_ij)
                     .map_err(|_| Bug::PaillierDec(BugSource::hat_alpha))?;
                 Ok::<_, Bug>(sum + hat_alpha_ij.to_scalar())
             })?;
@@ -916,7 +913,7 @@ where
                 b: Gamma,
             },
             &pi_log::PrivateData {
-                x: scalar_to_bignumber(&k_i),
+                x: utils::scalar_to_bignumber(&k_i),
                 nonce: rho_i.clone(),
             },
             &security_params.pi_log,
@@ -956,7 +953,7 @@ where
         round3_msgs.iter_indexed().zip(ciphertexts.iter_indexed())
     {
         let R_j = &R[usize::from(j)];
-        let enc_j = encryption_key_from_n(&R_j.N);
+        let enc_j = fast_paillier::EncryptionKey::from_n(R_j.N.clone());
 
         let data = pi_log::Data {
             key0: enc_j.clone(),
diff --git a/cggmp21/src/trusted_dealer.rs b/cggmp21/src/trusted_dealer.rs
index 449b663..e4b02c5 100644
--- a/cggmp21/src/trusted_dealer.rs
+++ b/cggmp21/src/trusted_dealer.rs
@@ -26,8 +26,10 @@ use std::{iter, marker::PhantomData};
 
 use generic_ec::{Curve, NonZero, Point, Scalar, SecretScalar};
 use generic_ec_zkp::polynomial::Polynomial;
-use paillier_zk::libpaillier::unknown_order::BigNumber;
-use paillier_zk::BigNumberExt;
+use paillier_zk::{
+    rug::{Complete, Integer},
+    IntegerExt,
+};
 use rand_core::{CryptoRng, RngCore};
 use thiserror::Error;
 
@@ -37,7 +39,7 @@ use crate::{
         KeyShare, PartyAux, VssSetup,
     },
     security_level::SecurityLevel,
-    utils::sample_bigint_in_mult_group,
+    utils,
 };
 
 /// Construct a trusted dealer builder
@@ -205,15 +207,15 @@ pub fn generate_aux_data<L: SecurityLevel, R: RngCore + CryptoRng>(
     let public_aux_data = primes
         .iter()
         .map(|(p, q)| {
-            let N = p * q;
+            let N = (p * q).complete();
 
-            let φ_N = (p - 1) * (q - 1);
+            let φ_N = (p - 1u8).complete() * (q - 1u8).complete();
 
-            let r = sample_bigint_in_mult_group(rng, &N);
-            let λ = BigNumber::from_rng(&φ_N, rng);
+            let r = Integer::gen_inversible(&N, rng);
+            let λ = φ_N.random_below_ref(&mut utils::external_rand(rng)).into();
 
-            let t = BigNumber::modmul(&r, &r, &N);
-            let s = BigNumber::powmod(&t, &λ, &N).map_err(|_| Reason::PowMod)?;
+            let t = r.square().modulo(&N);
+            let s = t.pow_mod_ref(&λ, &N).ok_or(Reason::PowMod)?.into();
 
             Ok(PartyAux { N, s, t })
         })
diff --git a/cggmp21/src/utils.rs b/cggmp21/src/utils.rs
index aafd998..1094878 100644
--- a/cggmp21/src/utils.rs
+++ b/cggmp21/src/utils.rs
@@ -1,11 +1,10 @@
 use digest::Digest;
 use generic_ec::{Curve, Scalar};
-use paillier_zk::libpaillier::{unknown_order::BigNumber, EncryptionKey};
+use paillier_zk::rug::{self, Integer};
 use paillier_zk::{
     group_element_vs_paillier_encryption_in_range as pi_log,
     paillier_affine_operation_in_range as pi_aff, paillier_encryption_in_range as pi_enc,
 };
-use rand_core::RngCore;
 use round_based::rounds_router::simple_store::RoundMsgs;
 use round_based::{MsgId, PartyIndex};
 use serde::Serialize;
@@ -13,31 +12,11 @@ use thiserror::Error;
 
 use crate::security_level::SecurityLevel;
 
-/// Samples $x \gets \Z^*_N$
-pub fn sample_bigint_in_mult_group<R: RngCore>(rng: &mut R, N: &BigNumber) -> BigNumber {
-    loop {
-        let x = BigNumber::from_rng(N, rng);
-        if x.gcd(N) == BigNumber::one() {
-            break x;
-        }
-    }
-}
+pub use paillier_zk::fast_paillier::utils::external_rand;
 
-/// Constructs `EncryptionKey` from $N = p * q$
-///
-/// `EncryptionKey` from `libpaillier` currently lack of this constructor. This function should
-/// be removed once [PR] is merged and changes are released.
-///
-/// [PR]: https://github.com/mikelodder7/paillier-rs/pull/6
-pub fn encryption_key_from_n(N: &BigNumber) -> EncryptionKey {
-    // `expect` usage excuse: we reviewed code of `from_bytes` constructor, it never returns error.
-    #[allow(clippy::expect_used)]
-    EncryptionKey::from_bytes(N.to_bytes()).expect("`from_bytes` should never fail")
-}
-
-/// Converts `&Scalar<E>` into BigNumber
-pub fn scalar_to_bignumber<E: Curve>(scalar: impl AsRef<Scalar<E>>) -> BigNumber {
-    BigNumber::from_slice(scalar.as_ref().to_be_bytes())
+/// Converts `&Scalar<E>` into Integer
+pub fn scalar_to_bignumber<E: Curve>(scalar: impl AsRef<Scalar<E>>) -> Integer {
+    Integer::from_digits(&scalar.as_ref().to_be_bytes(), rug::integer::Order::Msf)
 }
 
 pub struct SecurityParams {
@@ -209,23 +188,12 @@ pub fn but_nth<T, I: IntoIterator<Item = T>>(n: u16, iter: I) -> impl Iterator<I
 
 /// Binary search for rounded down square root. For non-positive numbers returns
 /// one
-pub fn sqrt(x: &BigNumber) -> BigNumber {
-    let mut low = BigNumber::one();
-    let mut high = x.clone();
-    while low < &high - 1 {
-        let mid: BigNumber = (&high + &low) / 2;
-        let test = &mid * &mid;
-        match test.cmp(x) {
-            std::cmp::Ordering::Equal => return mid,
-            std::cmp::Ordering::Less => {
-                low = mid;
-            }
-            std::cmp::Ordering::Greater => {
-                high = mid;
-            }
-        }
+pub fn sqrt(x: &Integer) -> Integer {
+    if x.cmp0().is_le() {
+        Integer::ONE.clone()
+    } else {
+        x.sqrt_ref().into()
     }
-    low
 }
 
 /// Partition into vector of errors and vector of values
@@ -254,34 +222,54 @@ pub fn subset<T: Clone, I: Into<usize> + Copy>(indexes: &[I], list: &[T]) -> Opt
         .collect()
 }
 
+/// Generates **unsafe** blum primes
+///
+/// Blum primes are faster to generate than safe primes, and they don't break correctness of CGGMP protocol.
+/// However, they do break security of the protocol.
+///
+/// Only supposed to be used in the tests.
+#[cfg(test)]
+pub fn generate_blum_prime(rng: &mut impl rand_core::RngCore, bits_size: u32) -> Integer {
+    loop {
+        let mut n: Integer = Integer::random_bits(bits_size, &mut external_rand(rng)).into();
+        n.set_bit(bits_size - 1, true);
+        n.next_prime_mut();
+
+        if n.mod_u(4) == 3 {
+            break n;
+        }
+    }
+}
+
 #[cfg(test)]
 mod test {
+    use paillier_zk::rug::Complete;
+
     #[test]
     fn test_sqrt() {
-        use super::{sqrt, BigNumber};
-        assert_eq!(sqrt(&BigNumber::from(-5)), BigNumber::from(1));
-        assert_eq!(sqrt(&BigNumber::from(1)), BigNumber::from(1));
-        assert_eq!(sqrt(&BigNumber::from(2)), BigNumber::from(1));
-        assert_eq!(sqrt(&BigNumber::from(3)), BigNumber::from(1));
-        assert_eq!(sqrt(&BigNumber::from(4)), BigNumber::from(2));
-        assert_eq!(sqrt(&BigNumber::from(5)), BigNumber::from(2));
-        assert_eq!(sqrt(&BigNumber::from(6)), BigNumber::from(2));
-        assert_eq!(sqrt(&BigNumber::from(7)), BigNumber::from(2));
-        assert_eq!(sqrt(&BigNumber::from(8)), BigNumber::from(2));
-        assert_eq!(sqrt(&BigNumber::from(9)), BigNumber::from(3));
-        assert_eq!(
-            sqrt(&(BigNumber::from(1) << 1024)),
-            BigNumber::from(1) << 512
-        );
+        use super::{sqrt, Integer};
+        assert_eq!(sqrt(&Integer::from(-5)), Integer::from(1));
+        assert_eq!(sqrt(&Integer::from(1)), Integer::from(1));
+        assert_eq!(sqrt(&Integer::from(2)), Integer::from(1));
+        assert_eq!(sqrt(&Integer::from(3)), Integer::from(1));
+        assert_eq!(sqrt(&Integer::from(4)), Integer::from(2));
+        assert_eq!(sqrt(&Integer::from(5)), Integer::from(2));
+        assert_eq!(sqrt(&Integer::from(6)), Integer::from(2));
+        assert_eq!(sqrt(&Integer::from(7)), Integer::from(2));
+        assert_eq!(sqrt(&Integer::from(8)), Integer::from(2));
+        assert_eq!(sqrt(&Integer::from(9)), Integer::from(3));
+        assert_eq!(sqrt(&(Integer::from(1) << 1024)), Integer::from(1) << 512);
 
-        let modulo = BigNumber::one() << 1024;
+        let modulo = (Integer::ONE << 1024_u32).complete();
         let mut rng = rand_dev::DevRng::new();
         for _ in 0..100 {
-            let x = BigNumber::from_rng(&modulo, &mut rng);
+            let x = modulo
+                .random_below_ref(&mut super::external_rand(&mut rng))
+                .into();
             let root = sqrt(&x);
-            assert!(&root * &root <= x);
-            let root: BigNumber = root + 1;
-            assert!(&root * &root > x);
+            assert!(root.square_ref().complete() <= x);
+            let root = root + 1u8;
+            assert!(root.square_ref().complete() > x);
         }
     }
 }
diff --git a/cggmp21/src/zk/ring_pedersen_parameters.rs b/cggmp21/src/zk/ring_pedersen_parameters.rs
index 055fa2f..4355a8a 100644
--- a/cggmp21/src/zk/ring_pedersen_parameters.rs
+++ b/cggmp21/src/zk/ring_pedersen_parameters.rs
@@ -1,7 +1,11 @@
 //! Пprm or Rprm in the paper. Proof that s ⋮ t modulo N. Non-interactive
 //! version only.
 use digest::{typenum::U32, Digest};
-use paillier_zk::{unknown_order::BigNumber, BigNumberExt};
+use paillier_zk::{
+    fast_paillier::utils,
+    rug::{self, Complete, Integer},
+    IntegerExt,
+};
 use rand_core::{RngCore, SeedableRng};
 use serde::{Deserialize, Serialize};
 use serde_with::serde_as;
@@ -14,9 +18,9 @@ struct Challenge<const M: usize> {
 /// Data to construct proof about
 #[derive(Clone, Copy)]
 pub struct Data<'a> {
-    pub N: &'a BigNumber,
-    pub s: &'a BigNumber,
-    pub t: &'a BigNumber,
+    pub N: &'a Integer,
+    pub s: &'a Integer,
+    pub t: &'a Integer,
 }
 
 /// The ZK proof. Computed by [`prove`].
@@ -28,25 +32,26 @@ pub struct Data<'a> {
 #[derive(Clone, Serialize, Deserialize)]
 pub struct Proof<const M: usize> {
     #[serde_as(as = "[_; M]")]
-    pub commitment: [BigNumber; M],
+    pub commitment: [Integer; M],
     #[serde_as(as = "[_; M]")]
-    pub zs: [BigNumber; M],
+    pub zs: [Integer; M],
 }
 
 fn derive_challenge<const M: usize, D>(
     shared_state: D,
     data: Data,
-    commitment: &[BigNumber; M],
+    commitment: &[Integer; M],
 ) -> Challenge<M>
 where
     D: Digest<OutputSize = U32>,
 {
+    let order = rug::integer::Order::Msf;
     let mut digest = shared_state
-        .chain_update(&data.N.to_bytes())
-        .chain_update(&data.s.to_bytes())
-        .chain_update(&data.t.to_bytes());
+        .chain_update(&data.N.to_digits(order))
+        .chain_update(&data.s.to_digits(order))
+        .chain_update(&data.t.to_digits(order));
     for a in commitment.iter() {
-        digest.update(a.to_bytes());
+        digest.update(a.to_digits(order));
     }
     let seed = digest.finalize();
     let mut rng = rand_chacha::ChaCha20Rng::from_seed(seed.into());
@@ -73,26 +78,27 @@ where
 /// - `lambda` - λ such that $s = t^λ$
 pub fn prove<const M: usize, R, D>(
     shared_state: D,
-    mut rng: R,
+    rng: &mut R,
     data: Data,
-    phi: &BigNumber,
-    lambda: &BigNumber,
+    phi: &Integer,
+    lambda: &Integer,
 ) -> Result<Proof<M>, ZkError>
 where
     D: Digest<OutputSize = U32>,
     R: RngCore,
 {
-    let private_commitment = [(); M].map(|()| BigNumber::from_rng(phi, &mut rng));
+    let private_commitment =
+        [(); M].map(|()| phi.random_below_ref(&mut utils::external_rand(rng)).into());
     let commitment = private_commitment
         .clone()
-        .map(|a| data.t.powmod(&a, data.N));
+        .map(|a| data.t.pow_mod_ref(&a, data.N).map(|r| r.into()));
     // TODO: since array::try_map is not stable yet, we have to be hacky here
-    let commitment = if commitment.iter().any(Result::is_err) {
+    let commitment = if commitment.iter().any(Option::is_none) {
         return Err(Reason::PowMod.into());
     } else {
-        // We made sure that every item in the array is `Ok(_)`
+        // We made sure that every item in the array is `Some(_)`
         #[allow(clippy::unwrap_used)]
-        commitment.map(Result::unwrap)
+        commitment.map(Option::unwrap)
     };
 
     let challenge: Challenge<M> = derive_challenge(shared_state, data, &commitment);
@@ -100,7 +106,8 @@ where
     let mut zs = private_commitment;
     for (z_ref, e) in zs.iter_mut().zip(&challenge.es) {
         if *e {
-            *z_ref = z_ref.modadd(lambda, phi);
+            *z_ref += lambda;
+            *z_ref = z_ref.modulo(phi);
         }
     }
     Ok(Proof { commitment, zs })
@@ -118,9 +125,9 @@ where
 {
     let challenge: Challenge<M> = derive_challenge(shared_state, data, &proof.commitment);
     for ((z, a), e) in proof.zs.iter().zip(&proof.commitment).zip(&challenge.es) {
-        let lhs = data.t.powmod(z, data.N).map_err(|_| InvalidProof)?;
+        let lhs: Integer = data.t.pow_mod_ref(z, data.N).ok_or(InvalidProof)?.into();
         if *e {
-            let rhs = data.s.modmul(a, data.N);
+            let rhs = (data.s * a).complete().modulo(data.N);
             if lhs != rhs {
                 return Err(InvalidProof);
             }
@@ -148,22 +155,29 @@ pub struct InvalidProof;
 // running with M=64 completed in 1.22 on my machine in debug build
 #[cfg(test)]
 mod test {
-    use paillier_zk::{unknown_order::BigNumber, BigNumberExt};
+    use paillier_zk::{
+        rug::{Complete, Integer},
+        IntegerExt,
+    };
+
+    use crate::utils;
 
     #[test]
     fn passing() {
         let mut rng = rand_core::OsRng;
         let shared_state = sha2::Sha256::default();
 
-        let p = BigNumber::prime_from_rng(256, &mut rng);
-        let q = BigNumber::prime_from_rng(256, &mut rng);
-        let n = &p * &q;
-        let phi = (&p - 1) * (&q - 1);
+        let p = utils::generate_blum_prime(&mut rng, 256);
+        let q = utils::generate_blum_prime(&mut rng, 256);
+        let n = (&p * &q).complete();
+        let phi = (&p - 1u8).complete() * (&q - 1u8).complete();
 
-        let r = crate::utils::sample_bigint_in_mult_group(&mut rng, &n);
-        let lambda = BigNumber::from_rng(&phi, &mut rng);
-        let t = r.modmul(&r, &n);
-        let s = t.powmod(&lambda, &n).unwrap();
+        let r = Integer::gen_inversible(&n, &mut rng);
+        let lambda = phi
+            .random_below_ref(&mut utils::external_rand(&mut rng))
+            .into();
+        let t = r.square().modulo(&n);
+        let s = t.pow_mod_ref(&lambda, &n).unwrap().into();
 
         let data = super::Data {
             N: &n,
@@ -172,7 +186,7 @@ mod test {
         };
 
         let proof: super::Proof<16> =
-            super::prove(shared_state.clone(), rand_core::OsRng, data, &phi, &lambda).unwrap();
+            super::prove(shared_state.clone(), &mut rng, data, &phi, &lambda).unwrap();
         super::verify(shared_state, data, &proof).expect("proof should pass");
     }
 
@@ -181,16 +195,18 @@ mod test {
         let mut rng = rand_core::OsRng;
         let shared_state = sha2::Sha256::default();
 
-        let p = BigNumber::prime_from_rng(256, &mut rng);
-        let q = BigNumber::prime_from_rng(256, &mut rng);
-        let n = &p * &q;
-        let phi = (&p - 1) * (&q - 1);
+        let p = utils::generate_blum_prime(&mut rng, 256);
+        let q = utils::generate_blum_prime(&mut rng, 256);
+        let n = (&p * &q).complete();
+        let phi = (&p - 1u8).complete() * (&q - 1u8).complete();
 
-        let r = crate::utils::sample_bigint_in_mult_group(&mut rng, &n);
-        let lambda = BigNumber::from_rng(&phi, &mut rng);
-        let t = r.modmul(&r, &n);
-        let correct_s = t.powmod(&lambda, &n).unwrap();
-        let s = correct_s.modadd(&BigNumber::one(), &n);
+        let r = Integer::gen_inversible(&n, &mut rng);
+        let lambda = phi
+            .random_below_ref(&mut utils::external_rand(&mut rng))
+            .into();
+        let t = r.square().modulo(&n);
+        let correct_s: Integer = t.pow_mod_ref(&lambda, &n).unwrap().into();
+        let s = (correct_s + 1u8).modulo(&n);
 
         let data = super::Data {
             N: &n,
@@ -199,7 +215,7 @@ mod test {
         };
 
         let proof: super::Proof<16> =
-            super::prove(shared_state.clone(), rand_core::OsRng, data, &phi, &lambda).unwrap();
+            super::prove(shared_state.clone(), &mut rng, data, &phi, &lambda).unwrap();
         if super::verify(shared_state, data, &proof).is_ok() {
             panic!("proof should fail");
         }
diff --git a/tests/src/bin/measure_perf.rs b/tests/src/bin/measure_perf.rs
index 4eaeb2d..1fed6f3 100644
--- a/tests/src/bin/measure_perf.rs
+++ b/tests/src/bin/measure_perf.rs
@@ -265,5 +265,5 @@ cggmp21::define_security_level!(CustomSecLevel {
     ell = 256,
     ell_prime = 824,
     m = 128,
-    q = cggmp21::unknown_order::BigNumber::one() << 128,
+    q = cggmp21::rug::Integer::ONE.clone() << 128,
 });
diff --git a/tests/src/lib.rs b/tests/src/lib.rs
index c787502..b3bbab6 100644
--- a/tests/src/lib.rs
+++ b/tests/src/lib.rs
@@ -1,5 +1,5 @@
 use anyhow::{bail, Context, Result};
-use cggmp21::{key_share::KeyShare, security_level::SecurityLevel, unknown_order::BigNumber};
+use cggmp21::{key_share::KeyShare, rug::Integer, security_level::SecurityLevel};
 use generic_ec::Curve;
 use rand::RngCore;
 use serde_json::{Map, Value};
@@ -69,8 +69,8 @@ impl PrecomputedKeyShares {
 pub struct PregeneratedPrimes {
     // It would be better to use key_refresh::PregeneratedPrimes here, but
     // adding serialization to that is an enormous pain in the ass
-    primes: Vec<BigNumber>,
-    bitsize: usize,
+    primes: Vec<Integer>,
+    bitsize: u32,
 }
 
 impl PregeneratedPrimes {
diff --git a/tests/tests/trusted_dealer.rs b/tests/tests/trusted_dealer.rs
index c227875..918ef56 100644
--- a/tests/tests/trusted_dealer.rs
+++ b/tests/tests/trusted_dealer.rs
@@ -16,7 +16,7 @@ mod test {
         ell = 128,
         ell_prime = 128,
         m = 128,
-        q = (cggmp21::unknown_order::BigNumber::one() << 128) - 1,
+        q = (cggmp21::rug::Integer::ONE.clone() << 128) - 1,
     });
 
     #[test]

From b73010b5605894befda98269dcae39c8c9030e5f Mon Sep 17 00:00:00 2001
From: Denis Varlakov <cordial.egg6523@fastmail.com>
Date: Wed, 23 Aug 2023 14:27:14 +0000
Subject: [PATCH 2/6] Pregenerate blum primes instead of safe primes

---
 cggmp21/src/security_level.rs      |     4 +-
 cggmp21/src/trusted_dealer.rs      |    68 +-
 test-data/precomputed_shares.json  | 33564 ++++++++++++++++++++-------
 test-data/pregenerated_primes.json |   100 +-
 tests/src/bin/precompute_shares.rs |    11 +-
 tests/src/lib.rs                   |    26 +-
 6 files changed, 25586 insertions(+), 8187 deletions(-)

diff --git a/cggmp21/src/security_level.rs b/cggmp21/src/security_level.rs
index a063005..4d95d96 100644
--- a/cggmp21/src/security_level.rs
+++ b/cggmp21/src/security_level.rs
@@ -108,7 +108,7 @@ pub mod _internal {
 /// security level):
 /// ```rust
 /// use cggmp21::security_level::define_security_level;
-/// use cggmp21::unknown_order::BigNumber;
+/// use cggmp21::rug::Integer;
 ///
 /// #[derive(Clone)]
 /// pub struct MyLevel;
@@ -118,7 +118,7 @@ pub mod _internal {
 ///     ell = 1024,
 ///     ell_prime = 1024,
 ///     m = 128,
-///     q = (BigNumber::one() << 48) - 1,
+///     q = (Integer::ONE.clone() << 48_u32) - 1,
 /// });
 /// ```
 ///
diff --git a/cggmp21/src/trusted_dealer.rs b/cggmp21/src/trusted_dealer.rs
index e4b02c5..870e46f 100644
--- a/cggmp21/src/trusted_dealer.rs
+++ b/cggmp21/src/trusted_dealer.rs
@@ -48,12 +48,7 @@ use crate::{
 ///
 /// Alias to [`TrustedDealerBuilder::new`]
 pub fn builder<E: Curve, L: SecurityLevel>(n: u16) -> TrustedDealerBuilder<E, L> {
-    TrustedDealerBuilder {
-        t: None,
-        n,
-        shared_secret_key: None,
-        _ph: PhantomData,
-    }
+    TrustedDealerBuilder::new(n)
 }
 
 /// Trusted dealer builder
@@ -61,6 +56,7 @@ pub struct TrustedDealerBuilder<E: Curve, L: SecurityLevel> {
     t: Option<u16>,
     n: u16,
     shared_secret_key: Option<SecretScalar<E>>,
+    pregenerated_primes: Option<Vec<(Integer, Integer)>>,
     _ph: PhantomData<L>,
 }
 
@@ -73,6 +69,7 @@ impl<E: Curve, L: SecurityLevel> TrustedDealerBuilder<E, L> {
             t: None,
             n,
             shared_secret_key: None,
+            pregenerated_primes: None,
             _ph: PhantomData,
         }
     }
@@ -103,6 +100,16 @@ impl<E: Curve, L: SecurityLevel> TrustedDealerBuilder<E, L> {
         }
     }
 
+    /// Sets pregenerated primes to use
+    ///
+    /// `primes` should have exactly `n` pairs of primes.
+    pub fn set_pregenerated_primes(self, primes: Vec<(Integer, Integer)>) -> Self {
+        Self {
+            pregenerated_primes: Some(primes),
+            ..self
+        }
+    }
+
     /// Generates [`IncompleteKeyShare`]s
     ///
     /// Returns error if provided inputs are invalid, or if internal
@@ -173,13 +180,18 @@ impl<E: Curve, L: SecurityLevel> TrustedDealerBuilder<E, L> {
     /// Returns error if provided inputs are invalid, or if internal
     /// error has occurred.
     pub fn generate_shares(
-        self,
+        mut self,
         rng: &mut (impl RngCore + CryptoRng),
     ) -> Result<Vec<KeyShare<E, L>>, TrustedDealerError> {
         let n = self.n;
 
+        let primes = self.pregenerated_primes.take();
         let core_key_shares = self.generate_core_shares(rng)?;
-        let aux_data = generate_aux_data(rng, n)?;
+        let aux_data = if let Some(primes) = primes {
+            generate_aux_data_with_primes(rng, primes)?
+        } else {
+            generate_aux_data(rng, n)?
+        };
 
         let key_shares = core_key_shares
             .into_iter()
@@ -237,6 +249,46 @@ pub fn generate_aux_data<L: SecurityLevel, R: RngCore + CryptoRng>(
         .map_err(TrustedDealerError)
 }
 
+/// Generates auxiliary data for `n` signers using provided pregenerated primes
+///
+/// `pregenerated_primes` should have exactly `n` pairs of primes.
+pub fn generate_aux_data_with_primes<L: SecurityLevel, R: RngCore + CryptoRng>(
+    rng: &mut R,
+    pregenerated_primes: Vec<(Integer, Integer)>,
+) -> Result<Vec<AuxInfo<L>>, TrustedDealerError> {
+    let public_aux_data = pregenerated_primes
+        .iter()
+        .map(|(p, q)| {
+            let N = (p * q).complete();
+
+            let φ_N = (p - 1u8).complete() * (q - 1u8).complete();
+
+            let r = Integer::gen_inversible(&N, rng);
+            let λ = φ_N.random_below_ref(&mut utils::external_rand(rng)).into();
+
+            let t = r.square().modulo(&N);
+            let s = t.pow_mod_ref(&λ, &N).ok_or(Reason::PowMod)?.into();
+
+            Ok(PartyAux { N, s, t })
+        })
+        .collect::<Result<Vec<_>, Reason>>()?;
+
+    pregenerated_primes
+        .into_iter()
+        .map(|(p, q)| {
+            DirtyAuxInfo {
+                p,
+                q,
+                parties: public_aux_data.clone(),
+                security_level: PhantomData,
+            }
+            .try_into()
+        })
+        .collect::<Result<Vec<_>, _>>()
+        .map_err(Reason::InvalidKeyShare)
+        .map_err(TrustedDealerError)
+}
+
 /// Error explaining why trusted dealer failed to generate shares
 #[derive(Debug, Error)]
 #[error(transparent)]
diff --git a/test-data/precomputed_shares.json b/test-data/precomputed_shares.json
index 852d89a..8a2950e 100644
--- a/test-data/precomputed_shares.json
+++ b/test-data/precomputed_shares.json
@@ -2,3259 +2,7045 @@
   "t=None,n=10,curve=secp256k1": [
     {
       "aux": {
-        "p": "8790c75474af81125c23906e5a3f0159cc488f380a298595c5e6a1a7ef3e05c106fb46f0549c2708fa71913bf9a08f0a5691451974ae86dca35540f3c0652a5635a8c581f22c58b6804a7cbc2668298a5a914eedf167d0e1a6d2311fa8cb9102ed03f392d0fa7fb0feb232c18b53d33ffb848f6b9d5e863395490d6e6840ceab1ce4976eb2c75792dcf99f55670502e3ff5e4d9610cf13d396639b991211f04a2a76de89589700add154af9af4e30de9ffb0157898d598b2a472b2544abcb02b",
+        "p": {
+          "radix": 16,
+          "value": "850feceb8b27df8a0fb513587935764e1fced80ba8f49d08cccf13e152ee3bed3158afe990a8c1f8887a5ec4c09d0a33003437cab3df4e8e8d34f9fbd47023bbf9c92be7c8ed1ac5e90fe0b08f44313a44214f6f3b2981517cb17a739d848ad06d0889cf702e245bb0e63efdc4f8fb56f5bd5d5fdb16829ff23ae514d50284095bb1b00178572acca35e3752a4540d6ec0938f03b4b0224fc50d0d3e8bc264d565ff4b5401e454418d0eb6c6264a65849753e804e3c5f7fcc5bc38751ec0ca8b"
+        },
         "parties": [
           {
-            "N": "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",
-            "s": "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",
-            "t": "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"
+            "N": {
+              "radix": 16,
+              "value": "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"
+            },
+            "s": {
+              "radix": 16,
+              "value": "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"
+            },
+            "t": {
+              "radix": 16,
+              "value": "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"
+            }
           },
           {
-            "N": "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",
-            "s": "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",
-            "t": "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"
+            "N": {
+              "radix": 16,
+              "value": "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"
+            },
+            "s": {
+              "radix": 16,
+              "value": "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"
+            },
+            "t": {
+              "radix": 16,
+              "value": "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"
+            }
           },
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       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
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         "curve": "secp256k1",
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       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
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-          "03be602f20c0b4c19036895a289ef98f6f17b616ca02f2852d5d4bb4bc89ffe4fe",
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+          "0286826b6e7919d20fda6e6d03197948a43ee0e69ac73041bbe9a9e0ba3021f69e"
+        ],
+        "shared_public_key": "0314157e93855adf478977ac4c56021752d68edb8ec3582a1329cc8eaf077164b0",
         "vss_setup": null,
-        "x": "ca7a0b38fb97b214d7c83b22a2200863adbccaba7a8af6427d62f2803f1fcd2f"
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       }
     },
     {
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+        },
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         "curve": "secp256k1",
         "i": 6,
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     },
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       "core": {
         "curve": "secp256r1",
         "i": 0,
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       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
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         ],
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
-          "02602743aad4bc06f507fcb585d44fd8826eff66d19fa146f0f2d0ef78af0a6441",
-          "0363189e6fc8da499d1f18d7e27917d28acf7f1c02ebb213396f07912e53b0fc11",
-          "03c57c16fdc47682f169912e1f37e08f6785b2b64afe5ee91eb3927e0030aa9436",
-          "034215c56e6d489e042320e4123516e0ba61667816fde75a1ee23377d6ba86448f",
-          "0370582e35d33323f58b9469fb32f44713d9eae454a246771fca13008e11997afc",
-          "03a19ab6efc7deecf8270f19a8a200cb07d3fd23fa99732bec7cd04ab08cb6148d",
-          "03c179e578faadcb75cf1346451839188ff2d79d5440a1aec58a3153c159f5eb67",
-          "0261f7b394f151bc6269a1dc3c55fd2735e7d3b36704ee764cc6bf4817bfd165df",
-          "037b922c3b4ead5dc3e36b13de4b117153c90c6b524dc0d4ab631a42ef159e7acf",
-          "022321d7e6c74609a154b02ce9b3b40824eb580701ac8d52264b05b60b15c4f6a1"
-        ],
-        "shared_public_key": "03a3b7483209d43ba40545e18e2a589429e539e849f2ea4e70c93e9a2e515422d0",
+          "021e0c33e1a7ad7fe829113299adaa83bf319fd389dd799ec21d88acd56013ea7c",
+          "02fa228e2775574ff72f1d45bd16d31b396114efb95de0048a3ad1477e29c6ffe7",
+          "03172e5a1532c7e2fe6a114aa4caf0423874c242119c280887f704a1ffad009928",
+          "034e6209c71e384803d74323967df7815817306ac04553092a50671c59a484d198",
+          "021b7e22ab3556ac8263776c28456122b44105d59a687c1ff9642f1e3e8d24f3c0",
+          "0326ecb66bae47f157550d979e31e1eca3c338ad2d8c3040d294b181ac6b886e0e",
+          "0263fd92af8dd5b5998e6fd00de7380529394c25d840018b2329110af8bff188ab",
+          "02d466344129ce5bb59aafab76bce4307f2af5c17deb8c7cbb8e89b11bbfa05e70",
+          "032cb7c7501ee81380969c8ae52d02c3193f706d52f51d6c7f0af962d59e4d3f17",
+          "03e5d4352dd8555cadda7226c0d6b50bea76ef13696d780ab4cc9d88bee4f40317"
+        ],
+        "shared_public_key": "0265ff4451f8d6e88be6679395d6c2cd57aac4970ec200a4502eff01139883cf8b",
         "vss_setup": null,
-        "x": "3c24add1c890b733eeff6a7242f532d02e6a6727ff1e1011828d57fde7e063a5"
+        "x": "85b73f93817b6cb7fd14e366f27d7745df5c2839b7f3b7c71c7f0c8c5780b61e"
       }
     },
     {
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       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
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-          "0363189e6fc8da499d1f18d7e27917d28acf7f1c02ebb213396f07912e53b0fc11",
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-          "022321d7e6c74609a154b02ce9b3b40824eb580701ac8d52264b05b60b15c4f6a1"
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-        "shared_public_key": "03a3b7483209d43ba40545e18e2a589429e539e849f2ea4e70c93e9a2e515422d0",
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+          "03e5d4352dd8555cadda7226c0d6b50bea76ef13696d780ab4cc9d88bee4f40317"
+        ],
+        "shared_public_key": "0265ff4451f8d6e88be6679395d6c2cd57aac4970ec200a4502eff01139883cf8b",
         "vss_setup": null,
-        "x": "967e80df912575d221f77b7a1c7368e3319ab3e5691399efc869a4d653d889a7"
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     },
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       "core": {
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       "core": {
         "curve": "secp256r1",
         "i": 5,
         "public_shares": [
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-          "022321d7e6c74609a154b02ce9b3b40824eb580701ac8d52264b05b60b15c4f6a1"
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         "vss_setup": null,
-        "x": "db0776aca1613b258f13eb1225e934e84f65fc0d8849e8fbeda39a31624d782f"
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       }
     },
     {
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         "curve": "secp256r1",
         "i": 6,
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       "core": {
         "curve": "secp256r1",
         "i": 7,
         "public_shares": [
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-          "022321d7e6c74609a154b02ce9b3b40824eb580701ac8d52264b05b60b15c4f6a1"
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     {
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         "curve": "secp256r1",
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       "core": {
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     }
   ],
   "t=None,n=2,curve=secp256k1": [
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       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
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-          "021cd6f24ef0bf56f8b3dee8496d3447d5df0c32716cb0966131494973917a46e5"
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+          "03d75bf51e9239eb45cbe5625cafe1ae8eee90bb008007c93852c9b33f9be7dd39"
         ],
-        "shared_public_key": "0234d77d7f4c5212473e1da8035b580802158fbc10d0c64e117648fef70c311fc4",
+        "shared_public_key": "02155a30089f5c4d4640a60dabf97e81e45e371e819812bd48a106ca56ada3bb0d",
         "vss_setup": null,
-        "x": "b37b1e23344352d2472965039c23f8411087b7727d0aeeaa53d9c2269b146d02"
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     },
     {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
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-          "021cd6f24ef0bf56f8b3dee8496d3447d5df0c32716cb0966131494973917a46e5"
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+          "03d75bf51e9239eb45cbe5625cafe1ae8eee90bb008007c93852c9b33f9be7dd39"
         ],
-        "shared_public_key": "0234d77d7f4c5212473e1da8035b580802158fbc10d0c64e117648fef70c311fc4",
+        "shared_public_key": "02155a30089f5c4d4640a60dabf97e81e45e371e819812bd48a106ca56ada3bb0d",
         "vss_setup": null,
-        "x": "3a2e6e29aab6892838e9ef6a506e31fcfc6c9810f2bdd0003889eeeafe141b07"
+        "x": "b3c44ba081a45f1af645d23f23b3f2f2920447a4e16642152264b8e9ce0ec766"
       }
     }
   ],
   "t=None,n=3,curve=secp256k1": [
     {
       "aux": {
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       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
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       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
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         ],
-        "shared_public_key": "020477c66b5b8511ce71c54f45da137c1693b08fe941ae929c26ce0fd9c3bd62e4",
+        "shared_public_key": "02daea7addf6b97e23417d89a592174f90656612e90f1967e334b80c47e464db39",
         "vss_setup": null,
-        "x": "2970f55c2166dac107e9f21668dada34d4352a3d019039c497a6a42c443e5b37"
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       }
     }
   ],
   "t=None,n=3,curve=secp256r1": [
     {
       "aux": {
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       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
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         "vss_setup": null,
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       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
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-        "shared_public_key": "03248f15f3e6e29c17eb94d8ac12aeac9809fd3acffbae9539efcd1ca433cb9393",
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         "vss_setup": null,
-        "x": "0553964a6647cc304226226797ecf61922d5a769c801d432dfb3451edccb39fa"
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       }
     }
   ],
   "t=None,n=5,curve=secp256k1": [
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       "core": {
         "curve": "secp256k1",
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       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
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       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
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       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
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         "vss_setup": null,
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       }
     },
     {
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       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
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         ],
-        "shared_public_key": "02dd84521c1595053b38a3ea5f4a41d7b7191bb16916bf0174a390207967f51a4d",
+        "shared_public_key": "038b7d17b22afaacb273755868b70388481dc0b5fa8ded3fb29e9d04d597aed32a",
         "vss_setup": null,
-        "x": "51279a2a91140e4d9c6ead56f68457b1dbfa0cb5c33e8977f69d05abf8f1aea6"
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       }
     }
   ],
   "t=None,n=5,curve=secp256r1": [
     {
       "aux": {
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       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
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-          "036a10b8213a29eb7a85bb0433967b960f3d3b71d31fb2f0f4f47e1a5d6c66f778",
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         ],
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         "vss_setup": null,
-        "x": "18adc97f33396b853a7678e5bac76d058a85aa273cd6716223c3162ae2f5f756"
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       }
     },
     {
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       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
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       }
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     {
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       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
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-          "036a10b8213a29eb7a85bb0433967b960f3d3b71d31fb2f0f4f47e1a5d6c66f778",
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         ],
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         "vss_setup": null,
-        "x": "4a439f71b8fe91845b8229f0ec6be0079edc712ca1dd035addc55d20b2897f9c"
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       }
     },
     {
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       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
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-          "036a10b8213a29eb7a85bb0433967b960f3d3b71d31fb2f0f4f47e1a5d6c66f778",
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-          "02e3f9162a6fe78db5de67c6f00b07a6798753adc46daf226b553ae4822c82a5fd",
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         ],
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+        "shared_public_key": "024914992f4177c37c8a667a99463262433e4760b1bb46d18977018ec4c6e218f2",
         "vss_setup": null,
-        "x": "258bf91c8d5ad4e903c2a6181241dc52089670b162a8b8388fccc987361f8c99"
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       }
     },
     {
       "aux": {
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       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
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-          "036a10b8213a29eb7a85bb0433967b960f3d3b71d31fb2f0f4f47e1a5d6c66f778",
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+          "02ac05d7d77ec091042dfcd18e276ba9842c787f35081969514d76ea38097811be"
         ],
-        "shared_public_key": "032d1eb9093df3c88a759019a8aaed612109ce4145af992f4530741a05f3fffabe",
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         "vss_setup": null,
-        "x": "bdc8f3455259935bb7ec44af4f71b77e48083661699d875f168545fde8cb8245"
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       }
     }
   ],
   "t=None,n=7,curve=secp256k1": [
     {
       "aux": {
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         "curve": "secp256k1",
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       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
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       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
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+        ],
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         "vss_setup": null,
-        "x": "ca7613f12ec8252a50cc0ca42267ca2768a0342c3e3e7aa0a07fbc38174a9a4d"
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     },
     {
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+        },
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         "curve": "secp256k1",
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       "core": {
         "curve": "secp256k1",
         "i": 6,
         "public_shares": [
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   "t=None,n=7,curve=secp256r1": [
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       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
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       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
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       "core": {
         "curve": "secp256r1",
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         "public_shares": [
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         "vss_setup": null,
-        "x": "b26a60371fed7311397c896d3aee8afc329f542b8f605e0da696207ea7f7238b"
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       "core": {
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       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
-          "02346c0363a868b258e11770de8a808fa3b551ee6157652db6ead35af4c322e87f",
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-          "03d43191740dd68e0e2e8df444b0ab7da6593f7b1ee984bd6af364521e368cb89b"
-        ],
-        "shared_public_key": "02eeb1ca5d4bc6b9ba108579e9b2abcc77aab7bcaafde76bd43c8ce5c7b5e38a73",
+          "02072435742fc593f963daaa923c2004b58f54a4b87e13a2f74bfb691af65bafe0",
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+          "024953c2872fafdd5615c9518362805a835409e848caf382cd3cd3b06883e8677c"
+        ],
+        "shared_public_key": "034b9636c5971dac5af70c40bf235df65e017eef017e240dadf752fa17cc0938f0",
         "vss_setup": null,
-        "x": "7ba6173de8d42288fc30517b643bf676eff36adddf62af3ee532587a00858c08"
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       }
     },
     {
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+        },
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       "core": {
         "curve": "secp256r1",
         "i": 5,
         "public_shares": [
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     {
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         ],
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 6,
         "public_shares": [
-          "02346c0363a868b258e11770de8a808fa3b551ee6157652db6ead35af4c322e87f",
-          "02c54447302518001ded1cc2e39345a45d99445a867fd0d3c63bc500ea25f64981",
-          "02d1fe75658602ee3da2207b7a063c5fc4657d5a9f9e60934e0dab56a6d29180d1",
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-          "035e53e7ed1e673b7af45b948220147a50e531cad6e8c77afa1bcfc9665e739963",
-          "03d43191740dd68e0e2e8df444b0ab7da6593f7b1ee984bd6af364521e368cb89b"
-        ],
-        "shared_public_key": "02eeb1ca5d4bc6b9ba108579e9b2abcc77aab7bcaafde76bd43c8ce5c7b5e38a73",
+          "02072435742fc593f963daaa923c2004b58f54a4b87e13a2f74bfb691af65bafe0",
+          "0242f4d03fc4666cee98f23f61cde4b8aed363ac3888db90847928fa83c8abfa96",
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+          "03782d943a9344972a836898d277273de1eda60850f9b69f2323d6dca684fb9aa8",
+          "03e38205b706581d41ecc993766b7578d96af0a6c2adf3452d8bdb632bbf18f151",
+          "024953c2872fafdd5615c9518362805a835409e848caf382cd3cd3b06883e8677c"
+        ],
+        "shared_public_key": "034b9636c5971dac5af70c40bf235df65e017eef017e240dadf752fa17cc0938f0",
         "vss_setup": null,
-        "x": "296697e22bb4e680df9b318193244052789b5255117704ed2ec4cefd9db16fff"
+        "x": "e5b065a48b1367408269f08eb665d2457f506d9e2aa583e81cfdef7606eb0ee3"
       }
     }
   ],
   "t=Some(2),n=10,curve=secp256k1": [
     {
       "aux": {
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+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
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-          "02bbe8b8e17ac5bce5e3239c9cca86013af84111f83dd43b74cbd87aa55ef1f91a",
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-          "03c3d4e27d0fe0998acbd5b5a40d6eb880a31572993a222e83606ab6a763a12e1f"
-        ],
-        "shared_public_key": "0324079f5d5b564c7c52e4c388ba4cdce3a68bee65c6e43dcdb51941c098f9fdef",
+          "03bcc4b864211f693caa563fe40e5b28ef01967150d054be25aa86212afdfb22bd",
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+          "0242f46e15ee6126e2800ffe95be8b7c1eca21d2d96312f74dac6504a27578b253",
+          "0251b58a7356c81a8c41f0d068fe0f6e6bf900b68223a196000812685fe01f7c2d",
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+          "02aea825bedaf34c3df2c015578099b4222946c1f0c8efc48eca20a96167d40c66",
+          "0359c94233fc898e91cad00e1a03dd9d13d0270cffdacd6490b9a32d6eef386779"
+        ],
+        "shared_public_key": "02cf1d1bd2b3e28e664c776dc1a1793875a6e09c3f0dad36710894e2ffe4f0f6f1",
         "vss_setup": {
           "I": [
             {
@@ -3300,82 +7086,178 @@
           ],
           "min_signers": 2
         },
-        "x": "65487d9464dedd231d62a333888559d3fa00f3b978120932c9e2bb9993a340be"
+        "x": "cacd92ff9233c704cccd1fa16811b610fae116d4dcf35dbf46cced47c42073df"
       }
     },
     {
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         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
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-          "03c3d4e27d0fe0998acbd5b5a40d6eb880a31572993a222e83606ab6a763a12e1f"
-        ],
-        "shared_public_key": "0324079f5d5b564c7c52e4c388ba4cdce3a68bee65c6e43dcdb51941c098f9fdef",
+          "03bcc4b864211f693caa563fe40e5b28ef01967150d054be25aa86212afdfb22bd",
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+          "0242f46e15ee6126e2800ffe95be8b7c1eca21d2d96312f74dac6504a27578b253",
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+          "02aea825bedaf34c3df2c015578099b4222946c1f0c8efc48eca20a96167d40c66",
+          "0359c94233fc898e91cad00e1a03dd9d13d0270cffdacd6490b9a32d6eef386779"
+        ],
+        "shared_public_key": "02cf1d1bd2b3e28e664c776dc1a1793875a6e09c3f0dad36710894e2ffe4f0f6f1",
         "vss_setup": {
           "I": [
             {
@@ -3421,82 +7303,178 @@
           ],
           "min_signers": 2
         },
-        "x": "f9845ec96373ec74912e10c1d879143bbda97675e261f5ea1d5387f5981f80f8"
+        "x": "8ff06e72c665df2c827c3571be2c135fb5176ba2ba1dde0e3fcab38786386d34"
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     },
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-        ],
-        "shared_public_key": "0324079f5d5b564c7c52e4c388ba4cdce3a68bee65c6e43dcdb51941c098f9fdef",
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+          "0359c94233fc898e91cad00e1a03dd9d13d0270cffdacd6490b9a32d6eef386779"
+        ],
+        "shared_public_key": "02cf1d1bd2b3e28e664c776dc1a1793875a6e09c3f0dad36710894e2ffe4f0f6f1",
         "vss_setup": {
           "I": [
             {
@@ -3542,82 +7520,178 @@
           ],
           "min_signers": 2
         },
-        "x": "8dc03ffe6208fbc604f97e50286ccea4c6a31c4b9d694265b0f1f5c4cc657ff1"
+        "x": "551349e5fa97f754382b4b42144670ae6f4dc07097485e5d38c879c748506689"
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     },
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       "core": {
         "curve": "secp256k1",
         "i": 3,
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+          "02aea825bedaf34c3df2c015578099b4222946c1f0c8efc48eca20a96167d40c66",
+          "0359c94233fc898e91cad00e1a03dd9d13d0270cffdacd6490b9a32d6eef386779"
+        ],
+        "shared_public_key": "02cf1d1bd2b3e28e664c776dc1a1793875a6e09c3f0dad36710894e2ffe4f0f6f1",
         "vss_setup": {
           "I": [
             {
@@ -3663,82 +7737,178 @@
           ],
           "min_signers": 2
         },
-        "x": "21fc2133609e0b1778c4ebde7860890dcf9cc22158708ee14490639400ab7eea"
+        "x": "1a3625592eca0f7bedda61126a60cdfd2984153e7472deac31c640070a685fde"
       }
     },
     {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
-          "03de2d34d10f63b68a1b485f30632d8a3565d1a94d6e4819e1df21e39ab0797441",
-          "02bbe8b8e17ac5bce5e3239c9cca86013af84111f83dd43b74cbd87aa55ef1f91a",
-          "03d7a1af9426dee8810b4ab179965d4ecae43bdf4ba119ae436e4691d28263160d",
-          "033832cab8fdaea839ef6092b554c27e0dec736f8cfa7c7b3ae916aac68916b82c",
-          "03bf892e175e0e36aa7394fe98e86c50130b606d4281d02ef58484cfc3f677d1b4",
-          "02d30bc67d97265b2a54e5679c0c279423afba62e1b97fe69148e14672ed17a2b9",
-          "02ec0163dfc427b67f08c50eec98ffb45e4ab8aa2e092e62db1b598e6d6db1067e",
-          "033ff4d415a17b6b7fa452d74e66e4672f94f96a348ff1d770ffe122679a5fa9f6",
-          "031be661827a520faa047c0b0d02a4bb56c1db225a418fbdb75bd49f60d9abf894",
-          "03c3d4e27d0fe0998acbd5b5a40d6eb880a31572993a222e83606ab6a763a12e1f"
-        ],
-        "shared_public_key": "0324079f5d5b564c7c52e4c388ba4cdce3a68bee65c6e43dcdb51941c098f9fdef",
+          "03bcc4b864211f693caa563fe40e5b28ef01967150d054be25aa86212afdfb22bd",
+          "031a059c3fd6a715f672b64553187ed6fd230ce14753c4f3b0a4d8ec601b7ba2a4",
+          "02660d4e766530583cdc857ddfbf81b413ea9160b1533fda0d2ab6eeddbd7ffeb5",
+          "0396e51517a4e3132114747c6c6b56e7ce4f093f4a6049a04cd1eee873aa358058",
+          "02267d6166fc4180a49c2062efff16452c4a0aca58395970c6e005314cae932b94",
+          "0242f46e15ee6126e2800ffe95be8b7c1eca21d2d96312f74dac6504a27578b253",
+          "0251b58a7356c81a8c41f0d068fe0f6e6bf900b68223a196000812685fe01f7c2d",
+          "023eee35a8e8d2df0871fe02b3c784272c84f46095d1b5825ab5b35b2f22395d24",
+          "02aea825bedaf34c3df2c015578099b4222946c1f0c8efc48eca20a96167d40c66",
+          "0359c94233fc898e91cad00e1a03dd9d13d0270cffdacd6490b9a32d6eef386779"
+        ],
+        "shared_public_key": "02cf1d1bd2b3e28e664c776dc1a1793875a6e09c3f0dad36710894e2ffe4f0f6f1",
         "vss_setup": {
           "I": [
             {
@@ -3784,82 +7954,178 @@
           ],
           "min_signers": 2
         },
-        "x": "b63802685f331a68ec90596cc8544375934544ddc2c07b9898012ff00527bf24"
+        "x": "df5900cc62fc27a3a38976e2c07b2b4a9e6946f300e5ff36ea9664d39cb69a74"
       }
     },
     {
       "aux": {
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         ],
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+        "q": {
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+          "value": "8cadf35f84b929092b750f27fd087a7cf7a362cd7f710a91e6360bf24dbd355b18e2a18a1be15db6d5e879114130233bed4fb416383ad23dadead5be27435ac14b4919612eab9a944ae3f975c8c587760f4a71c9e25014d20faafb57f13a43c4bdc764210278ce242aef240b0f5d1f4d8d07723060fca41adfaa2308fd56d71ffa7202fcf327bac5763e128f7b471b8b222b9ae79b388fc3be10b4f2d13be21d9fc91d179f1df0293c5dadf31f7c954a39ea379db887dff2e70440e69f247777"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 5,
         "public_shares": [
-          "03de2d34d10f63b68a1b485f30632d8a3565d1a94d6e4819e1df21e39ab0797441",
-          "02bbe8b8e17ac5bce5e3239c9cca86013af84111f83dd43b74cbd87aa55ef1f91a",
-          "03d7a1af9426dee8810b4ab179965d4ecae43bdf4ba119ae436e4691d28263160d",
-          "033832cab8fdaea839ef6092b554c27e0dec736f8cfa7c7b3ae916aac68916b82c",
-          "03bf892e175e0e36aa7394fe98e86c50130b606d4281d02ef58484cfc3f677d1b4",
-          "02d30bc67d97265b2a54e5679c0c279423afba62e1b97fe69148e14672ed17a2b9",
-          "02ec0163dfc427b67f08c50eec98ffb45e4ab8aa2e092e62db1b598e6d6db1067e",
-          "033ff4d415a17b6b7fa452d74e66e4672f94f96a348ff1d770ffe122679a5fa9f6",
-          "031be661827a520faa047c0b0d02a4bb56c1db225a418fbdb75bd49f60d9abf894",
-          "03c3d4e27d0fe0998acbd5b5a40d6eb880a31572993a222e83606ab6a763a12e1f"
-        ],
-        "shared_public_key": "0324079f5d5b564c7c52e4c388ba4cdce3a68bee65c6e43dcdb51941c098f9fdef",
+          "03bcc4b864211f693caa563fe40e5b28ef01967150d054be25aa86212afdfb22bd",
+          "031a059c3fd6a715f672b64553187ed6fd230ce14753c4f3b0a4d8ec601b7ba2a4",
+          "02660d4e766530583cdc857ddfbf81b413ea9160b1533fda0d2ab6eeddbd7ffeb5",
+          "0396e51517a4e3132114747c6c6b56e7ce4f093f4a6049a04cd1eee873aa358058",
+          "02267d6166fc4180a49c2062efff16452c4a0aca58395970c6e005314cae932b94",
+          "0242f46e15ee6126e2800ffe95be8b7c1eca21d2d96312f74dac6504a27578b253",
+          "0251b58a7356c81a8c41f0d068fe0f6e6bf900b68223a196000812685fe01f7c2d",
+          "023eee35a8e8d2df0871fe02b3c784272c84f46095d1b5825ab5b35b2f22395d24",
+          "02aea825bedaf34c3df2c015578099b4222946c1f0c8efc48eca20a96167d40c66",
+          "0359c94233fc898e91cad00e1a03dd9d13d0270cffdacd6490b9a32d6eef386779"
+        ],
+        "shared_public_key": "02cf1d1bd2b3e28e664c776dc1a1793875a6e09c3f0dad36710894e2ffe4f0f6f1",
         "vss_setup": {
           "I": [
             {
@@ -3905,82 +8171,178 @@
           ],
           "min_signers": 2
         },
-        "x": "4a73e39d5dc829ba605bc6fb1847fdde9c3eeab37dc7c8142b9f9dbf396dbe1d"
+        "x": "a47bdc3f972e3fcb59388cb316958899589f9bc0de107f85e3942b135ece93c9"
       }
     },
     {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 6,
         "public_shares": [
-          "03de2d34d10f63b68a1b485f30632d8a3565d1a94d6e4819e1df21e39ab0797441",
-          "02bbe8b8e17ac5bce5e3239c9cca86013af84111f83dd43b74cbd87aa55ef1f91a",
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-          "02d30bc67d97265b2a54e5679c0c279423afba62e1b97fe69148e14672ed17a2b9",
-          "02ec0163dfc427b67f08c50eec98ffb45e4ab8aa2e092e62db1b598e6d6db1067e",
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-          "031be661827a520faa047c0b0d02a4bb56c1db225a418fbdb75bd49f60d9abf894",
-          "03c3d4e27d0fe0998acbd5b5a40d6eb880a31572993a222e83606ab6a763a12e1f"
-        ],
-        "shared_public_key": "0324079f5d5b564c7c52e4c388ba4cdce3a68bee65c6e43dcdb51941c098f9fdef",
+          "03bcc4b864211f693caa563fe40e5b28ef01967150d054be25aa86212afdfb22bd",
+          "031a059c3fd6a715f672b64553187ed6fd230ce14753c4f3b0a4d8ec601b7ba2a4",
+          "02660d4e766530583cdc857ddfbf81b413ea9160b1533fda0d2ab6eeddbd7ffeb5",
+          "0396e51517a4e3132114747c6c6b56e7ce4f093f4a6049a04cd1eee873aa358058",
+          "02267d6166fc4180a49c2062efff16452c4a0aca58395970c6e005314cae932b94",
+          "0242f46e15ee6126e2800ffe95be8b7c1eca21d2d96312f74dac6504a27578b253",
+          "0251b58a7356c81a8c41f0d068fe0f6e6bf900b68223a196000812685fe01f7c2d",
+          "023eee35a8e8d2df0871fe02b3c784272c84f46095d1b5825ab5b35b2f22395d24",
+          "02aea825bedaf34c3df2c015578099b4222946c1f0c8efc48eca20a96167d40c66",
+          "0359c94233fc898e91cad00e1a03dd9d13d0270cffdacd6490b9a32d6eef386779"
+        ],
+        "shared_public_key": "02cf1d1bd2b3e28e664c776dc1a1793875a6e09c3f0dad36710894e2ffe4f0f6f1",
         "vss_setup": {
           "I": [
             {
@@ -4026,82 +8388,178 @@
           ],
           "min_signers": 2
         },
-        "x": "deafc4d25c5d390bd4273489683bb8465fe76d6fe817b4cb7f106a1b3de9fe57"
+        "x": "699eb7b2cb6057f30ee7a2836cafe5e812d5f08ebb3affd4dc91f15320e68d1e"
       }
     },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 7,
         "public_shares": [
-          "03de2d34d10f63b68a1b485f30632d8a3565d1a94d6e4819e1df21e39ab0797441",
-          "02bbe8b8e17ac5bce5e3239c9cca86013af84111f83dd43b74cbd87aa55ef1f91a",
-          "03d7a1af9426dee8810b4ab179965d4ecae43bdf4ba119ae436e4691d28263160d",
-          "033832cab8fdaea839ef6092b554c27e0dec736f8cfa7c7b3ae916aac68916b82c",
-          "03bf892e175e0e36aa7394fe98e86c50130b606d4281d02ef58484cfc3f677d1b4",
-          "02d30bc67d97265b2a54e5679c0c279423afba62e1b97fe69148e14672ed17a2b9",
-          "02ec0163dfc427b67f08c50eec98ffb45e4ab8aa2e092e62db1b598e6d6db1067e",
-          "033ff4d415a17b6b7fa452d74e66e4672f94f96a348ff1d770ffe122679a5fa9f6",
-          "031be661827a520faa047c0b0d02a4bb56c1db225a418fbdb75bd49f60d9abf894",
-          "03c3d4e27d0fe0998acbd5b5a40d6eb880a31572993a222e83606ab6a763a12e1f"
-        ],
-        "shared_public_key": "0324079f5d5b564c7c52e4c388ba4cdce3a68bee65c6e43dcdb51941c098f9fdef",
+          "03bcc4b864211f693caa563fe40e5b28ef01967150d054be25aa86212afdfb22bd",
+          "031a059c3fd6a715f672b64553187ed6fd230ce14753c4f3b0a4d8ec601b7ba2a4",
+          "02660d4e766530583cdc857ddfbf81b413ea9160b1533fda0d2ab6eeddbd7ffeb5",
+          "0396e51517a4e3132114747c6c6b56e7ce4f093f4a6049a04cd1eee873aa358058",
+          "02267d6166fc4180a49c2062efff16452c4a0aca58395970c6e005314cae932b94",
+          "0242f46e15ee6126e2800ffe95be8b7c1eca21d2d96312f74dac6504a27578b253",
+          "0251b58a7356c81a8c41f0d068fe0f6e6bf900b68223a196000812685fe01f7c2d",
+          "023eee35a8e8d2df0871fe02b3c784272c84f46095d1b5825ab5b35b2f22395d24",
+          "02aea825bedaf34c3df2c015578099b4222946c1f0c8efc48eca20a96167d40c66",
+          "0359c94233fc898e91cad00e1a03dd9d13d0270cffdacd6490b9a32d6eef386779"
+        ],
+        "shared_public_key": "02cf1d1bd2b3e28e664c776dc1a1793875a6e09c3f0dad36710894e2ffe4f0f6f1",
         "vss_setup": {
           "I": [
             {
@@ -4147,82 +8605,178 @@
           ],
           "min_signers": 2
         },
-        "x": "72eba6075af2485d47f2a217b82f72af68e11345a31f014712aed7ea722ffd50"
+        "x": "2ec19325ff92701ac496b853c2ca4336cd0c455c98658023d58fb792e2fe8673"
       }
     },
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+          "value": "fc12e16c93ddf880b844b1ef2ba77e19fb933fad13c54b3e149a1962ab49aa0a10aa53272a3e377fa6cda17444eaed4fcb7ff0a73002ae66318a79a68963cfe0140b16deec7282b720a6e31a918d484aa52957a44b970ac7f84fed1f0abfd53d0f5b2a6831ed7e65578aa6f02c602ba4e65927db9a864452c3648bc3968299ee93dd3f9da8b908556ce52c721a5d9a88e660f77d1e16414a3e38cbdb19fb187370c252c365f99cbd13931f95a6ed287c683ed2edba9af90c93314976a23fc24f"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 8,
         "public_shares": [
-          "03de2d34d10f63b68a1b485f30632d8a3565d1a94d6e4819e1df21e39ab0797441",
-          "02bbe8b8e17ac5bce5e3239c9cca86013af84111f83dd43b74cbd87aa55ef1f91a",
-          "03d7a1af9426dee8810b4ab179965d4ecae43bdf4ba119ae436e4691d28263160d",
-          "033832cab8fdaea839ef6092b554c27e0dec736f8cfa7c7b3ae916aac68916b82c",
-          "03bf892e175e0e36aa7394fe98e86c50130b606d4281d02ef58484cfc3f677d1b4",
-          "02d30bc67d97265b2a54e5679c0c279423afba62e1b97fe69148e14672ed17a2b9",
-          "02ec0163dfc427b67f08c50eec98ffb45e4ab8aa2e092e62db1b598e6d6db1067e",
-          "033ff4d415a17b6b7fa452d74e66e4672f94f96a348ff1d770ffe122679a5fa9f6",
-          "031be661827a520faa047c0b0d02a4bb56c1db225a418fbdb75bd49f60d9abf894",
-          "03c3d4e27d0fe0998acbd5b5a40d6eb880a31572993a222e83606ab6a763a12e1f"
-        ],
-        "shared_public_key": "0324079f5d5b564c7c52e4c388ba4cdce3a68bee65c6e43dcdb51941c098f9fdef",
+          "03bcc4b864211f693caa563fe40e5b28ef01967150d054be25aa86212afdfb22bd",
+          "031a059c3fd6a715f672b64553187ed6fd230ce14753c4f3b0a4d8ec601b7ba2a4",
+          "02660d4e766530583cdc857ddfbf81b413ea9160b1533fda0d2ab6eeddbd7ffeb5",
+          "0396e51517a4e3132114747c6c6b56e7ce4f093f4a6049a04cd1eee873aa358058",
+          "02267d6166fc4180a49c2062efff16452c4a0aca58395970c6e005314cae932b94",
+          "0242f46e15ee6126e2800ffe95be8b7c1eca21d2d96312f74dac6504a27578b253",
+          "0251b58a7356c81a8c41f0d068fe0f6e6bf900b68223a196000812685fe01f7c2d",
+          "023eee35a8e8d2df0871fe02b3c784272c84f46095d1b5825ab5b35b2f22395d24",
+          "02aea825bedaf34c3df2c015578099b4222946c1f0c8efc48eca20a96167d40c66",
+          "0359c94233fc898e91cad00e1a03dd9d13d0270cffdacd6490b9a32d6eef386779"
+        ],
+        "shared_public_key": "02cf1d1bd2b3e28e664c776dc1a1793875a6e09c3f0dad36710894e2ffe4f0f6f1",
         "vss_setup": {
           "I": [
             {
@@ -4268,82 +8822,178 @@
           ],
           "min_signers": 2
         },
-        "x": "0727873c598757aebbbe0fa608232d1871dab91b5e264dc2a64d45b9a675fc49"
+        "x": "f3e46e9933c488427a45ce2418e4a08441f1771124d8a0ae8e5fdc5f754cc109"
       }
     },
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         ],
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+        "q": {
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+          "value": "b6b559338e5ef1c26c63f75e7f039bd195bc2de287421239782cd5ad4d6a897d697f2baa9ba64108608b745a1d0f2e24830e0eaffb2197932a4b9aa7029321b9e151d388f5e45abe837910457460e84b5f43362d01ac39e86d41f19b8ea0ae8e06d5323b9776d46824793dbc70cbba179ca77646bf7b760e308ad7a1ac880150ee6d40366ce10ab3482aa9489cde4b7ac749deb41058ab37b8f860a9123f867174b5f45d59d75cbf2c92f6d43e84a8a024bc68ca3c3bf3ada7eecf82534acb07"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 9,
         "public_shares": [
-          "03de2d34d10f63b68a1b485f30632d8a3565d1a94d6e4819e1df21e39ab0797441",
-          "02bbe8b8e17ac5bce5e3239c9cca86013af84111f83dd43b74cbd87aa55ef1f91a",
-          "03d7a1af9426dee8810b4ab179965d4ecae43bdf4ba119ae436e4691d28263160d",
-          "033832cab8fdaea839ef6092b554c27e0dec736f8cfa7c7b3ae916aac68916b82c",
-          "03bf892e175e0e36aa7394fe98e86c50130b606d4281d02ef58484cfc3f677d1b4",
-          "02d30bc67d97265b2a54e5679c0c279423afba62e1b97fe69148e14672ed17a2b9",
-          "02ec0163dfc427b67f08c50eec98ffb45e4ab8aa2e092e62db1b598e6d6db1067e",
-          "033ff4d415a17b6b7fa452d74e66e4672f94f96a348ff1d770ffe122679a5fa9f6",
-          "031be661827a520faa047c0b0d02a4bb56c1db225a418fbdb75bd49f60d9abf894",
-          "03c3d4e27d0fe0998acbd5b5a40d6eb880a31572993a222e83606ab6a763a12e1f"
-        ],
-        "shared_public_key": "0324079f5d5b564c7c52e4c388ba4cdce3a68bee65c6e43dcdb51941c098f9fdef",
+          "03bcc4b864211f693caa563fe40e5b28ef01967150d054be25aa86212afdfb22bd",
+          "031a059c3fd6a715f672b64553187ed6fd230ce14753c4f3b0a4d8ec601b7ba2a4",
+          "02660d4e766530583cdc857ddfbf81b413ea9160b1533fda0d2ab6eeddbd7ffeb5",
+          "0396e51517a4e3132114747c6c6b56e7ce4f093f4a6049a04cd1eee873aa358058",
+          "02267d6166fc4180a49c2062efff16452c4a0aca58395970c6e005314cae932b94",
+          "0242f46e15ee6126e2800ffe95be8b7c1eca21d2d96312f74dac6504a27578b253",
+          "0251b58a7356c81a8c41f0d068fe0f6e6bf900b68223a196000812685fe01f7c2d",
+          "023eee35a8e8d2df0871fe02b3c784272c84f46095d1b5825ab5b35b2f22395d24",
+          "02aea825bedaf34c3df2c015578099b4222946c1f0c8efc48eca20a96167d40c66",
+          "0359c94233fc898e91cad00e1a03dd9d13d0270cffdacd6490b9a32d6eef386779"
+        ],
+        "shared_public_key": "02cf1d1bd2b3e28e664c776dc1a1793875a6e09c3f0dad36710894e2ffe4f0f6f1",
         "vss_setup": {
           "I": [
             {
@@ -4389,84 +9039,180 @@
           ],
           "min_signers": 2
         },
-        "x": "9b636871581c67002f897d345816e78035833bd7c8763a79f9be1215aaf23c83"
+        "x": "b9074a0c67f6a06a2ff4e3f46efefdd2fc27cbdf020320fd875da29f3764ba5e"
       }
     }
   ],
   "t=Some(2),n=10,curve=secp256r1": [
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
-          "02cd2d277a8959b3b49a061ce16b8e3ddee404ecbef397f25bd7e81fc2ea9b1771",
-          "02a4b6a290a250f85a60f3369adedfd87895556dcbdf32fe83e0e9be5342b6f833",
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-          "029dc527982afa9c215a471886e4aa07ede9f5c6ee36d8ea447c4b9036848b45d1",
-          "02a888f8b90952ba1347d9c53d118e02c79653a58dca6672215006be1351dfac4c",
-          "038ec4fff32861a63133b963c21289c937cb99ff3d5d25087a90f11f7ead22905f",
-          "02bc4d92c6f6a29b329485d18b44a36f6839ae02f08a6cacd2c4c38f5362f13326",
-          "02ff1bf87f3678e125249b075738f7d099d156b4c2c7883b33c415c606d5de647f",
-          "03024eafcb471c00b1190b664cf64345b84646d19da188f34cef0b6b3fef542340",
-          "036f7dbb2a634ac0f672fa5fa383e74637fd9f2939ac453fbc6bfd31ec198037c7"
-        ],
-        "shared_public_key": "02e2c388d5361f4a713d9293d8f14e7686670b319b8ddbf2fa9806e69a1d7baa7c",
+          "0212b74f5a12c1514775bbea374ca2b0d8a9aea59d8e1d6c273f1e6e9dc8d59946",
+          "025a04c72800f05076c3b8fa3fcbca0dc6d31a4447dfe495e47f772e601e70d76f",
+          "02c8326aff15e6a945d50ed0ba378f620c6f1b953f44ae09b383e9d38e5f466350",
+          "03ec3e241171fcf165b0297fee0306d27b2da24375b8277267bc46482e530d5bdc",
+          "0306c68323f1014e3ff2552a4c65a0913208046aa19c3133d847b35b180e6adfe1",
+          "0232ac4d6e0ace04a7097219911024b8b5accd989013b827ee14703898963159b6",
+          "029827c4098718092ba3dafae414d2f70922523e4b3907f6fcda9dd551a6c10681",
+          "0264514e75e48cdbf19f8fc2173913eeedb97b45128e3da38d0858f950399cf513",
+          "0267b7bc5ee64f65b6130e83a47a621f3bd55a62416abd4c6188a31e22981ef360",
+          "020cf28970901820457cc6dddffb662a697bdbbde13010afcee9f31c2acd63deea"
+        ],
+        "shared_public_key": "031eb8e728667f36a67d6df6451441ce6c37aae1dd01dbcd0e62430174d663d989",
         "vss_setup": {
           "I": [
             {
@@ -4512,82 +9258,178 @@
           ],
           "min_signers": 2
         },
-        "x": "4d27feb106d6ff822ab12ce96e8188e6192d5e176f11c3d0d9534329f0172139"
+        "x": "2e4b7710efc5ad63a588b7d7a6bebaf9fe9522f795149dd09d8b1c31a846903d"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "e95b73f50e18f4eb1160f58cd494247e50e05038477c6a62882163fab06a99d2b20a733df4f3ca62d93e6b146f7f07f928cf35b0f2370661068be0cdb7f96cf0e0cbdb078671111e43775e3c46adf32d01addc77c6bf9d338cba502f2b9bc9322d305b227c86f9c5cd1814eef5025705a890593be801d5f9dc96287ffd28950844a78a68cd6de8a986fb45cd5bfb8108cabb270557a392644d781d4613adfc1684760bc907e08cb7388a2ee7a6cc66e10e928864ca3cd11192504b6d52a16fc3"
+        },
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+            }
           }
         ],
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+        "q": {
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+          "value": "c18e649b26dff19ccf1deb4a9c5ffb9b9552401ce942eec6d6a0afab26fcbcea1c04f0cbe8d6202658944b9f00714b8dc9f7bdd8647012880f482430d31962e69c47aadff6f349832f8f88ef608f35cbf2cc29d72a26d46cd4bb20edbf317d21a8a828b88092dc22608756a780f5a4b487361dd581f470a943666d07035442292e4f5a0f88030c31fb6bbb3496593f1285a13c7094d929190aae479b81f42254da29ecd09c1a0ceb9aaefc16f69406a4ee2402ec37332619a258d10cd9237777"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
-          "02cd2d277a8959b3b49a061ce16b8e3ddee404ecbef397f25bd7e81fc2ea9b1771",
-          "02a4b6a290a250f85a60f3369adedfd87895556dcbdf32fe83e0e9be5342b6f833",
-          "035ef9eeae49c86dcf26637b173adc1cb526c7bf9cf3c0769ca56fda72207d5e58",
-          "029dc527982afa9c215a471886e4aa07ede9f5c6ee36d8ea447c4b9036848b45d1",
-          "02a888f8b90952ba1347d9c53d118e02c79653a58dca6672215006be1351dfac4c",
-          "038ec4fff32861a63133b963c21289c937cb99ff3d5d25087a90f11f7ead22905f",
-          "02bc4d92c6f6a29b329485d18b44a36f6839ae02f08a6cacd2c4c38f5362f13326",
-          "02ff1bf87f3678e125249b075738f7d099d156b4c2c7883b33c415c606d5de647f",
-          "03024eafcb471c00b1190b664cf64345b84646d19da188f34cef0b6b3fef542340",
-          "036f7dbb2a634ac0f672fa5fa383e74637fd9f2939ac453fbc6bfd31ec198037c7"
-        ],
-        "shared_public_key": "02e2c388d5361f4a713d9293d8f14e7686670b319b8ddbf2fa9806e69a1d7baa7c",
+          "0212b74f5a12c1514775bbea374ca2b0d8a9aea59d8e1d6c273f1e6e9dc8d59946",
+          "025a04c72800f05076c3b8fa3fcbca0dc6d31a4447dfe495e47f772e601e70d76f",
+          "02c8326aff15e6a945d50ed0ba378f620c6f1b953f44ae09b383e9d38e5f466350",
+          "03ec3e241171fcf165b0297fee0306d27b2da24375b8277267bc46482e530d5bdc",
+          "0306c68323f1014e3ff2552a4c65a0913208046aa19c3133d847b35b180e6adfe1",
+          "0232ac4d6e0ace04a7097219911024b8b5accd989013b827ee14703898963159b6",
+          "029827c4098718092ba3dafae414d2f70922523e4b3907f6fcda9dd551a6c10681",
+          "0264514e75e48cdbf19f8fc2173913eeedb97b45128e3da38d0858f950399cf513",
+          "0267b7bc5ee64f65b6130e83a47a621f3bd55a62416abd4c6188a31e22981ef360",
+          "020cf28970901820457cc6dddffb662a697bdbbde13010afcee9f31c2acd63deea"
+        ],
+        "shared_public_key": "031eb8e728667f36a67d6df6451441ce6c37aae1dd01dbcd0e62430174d663d989",
         "vss_setup": {
           "I": [
             {
@@ -4633,82 +9475,178 @@
           ],
           "min_signers": 2
         },
-        "x": "af8b83f153929afbe571eaed9ea771afc6db7f40397acf2c60a9cd8334c76796"
+        "x": "dbade338afbb1f7be68faa3acc50d5c61974a7f6d68814bd7d4700708f6d2324"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "d9f8cc3afc555923301a8a0914a2352e1d8fbdca4731892ac784c2574bf8db320968f590a183ce48607df8c4f72b9224a133a295a00a8e9021d7f4edc2c85e933201c3f853e28b5cc31bf19ce7d4a36478c40380af924e6ac2b7e135c3e8d9af3adcede14c1b5983a7c1eeddc5b56e0bb14421594a798cdc74740d0ef2590fa60987d7da8f212de4a5e900c516182a048a15ab7c1076be2722367bc4722a148c9a1f972486e673e3de631a89183eb7fce4cea0effe51af82a4c2f53a3de66573"
+        },
         "parties": [
           {
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+            }
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         ],
-        "q": "da0041aad6ac0b668aeb4360d3623a54d5ac592179e40a2c91d97e647d99425b773e1a412d6cb72073275b7199e23ef1c5ee424ad857bba01d752fe68fbf9cdc33537f2672648b5fa7b2ff6fa6db3c5519025349f8136f4b0e2b71b4cf687382676ce81fca993458510ef1263008409ce46b58e4ef41d436798be3a899629b422b5b8a82ea46db4462db6c95d871e16ef102d0d6c3e8cc6c2df2fe8f6ae0767f771d2f51e493f4c1b78d3d3930575ba4cf20da527cd6d98a8e8c261151aabfbb"
+        "q": {
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+          "value": "a74926518bea781838f6633c320bb38cee2b9aaae4034ebd27e34b360b56f118a3179c3c9bc03b4aa721311b0b5fc73686c718ecbc2f7e152b8152e993752170c70031d4f3ecb50763ad543c8f3589e8a8b8597a76d28a6f4f55b88527d25bc2cba783b01158e1f0aa6a9e1c255dde34f928d8eb8040195c88482e36119aad7b5adfcec3080ca73c416f09d4e8404e42ce5129a5a7764e562ac07d9410f06bc1f3568e9434ad9d55d752093c1d9e3d3ae490bb1d32739ce16b0043009e94ea4b"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
-          "02cd2d277a8959b3b49a061ce16b8e3ddee404ecbef397f25bd7e81fc2ea9b1771",
-          "02a4b6a290a250f85a60f3369adedfd87895556dcbdf32fe83e0e9be5342b6f833",
-          "035ef9eeae49c86dcf26637b173adc1cb526c7bf9cf3c0769ca56fda72207d5e58",
-          "029dc527982afa9c215a471886e4aa07ede9f5c6ee36d8ea447c4b9036848b45d1",
-          "02a888f8b90952ba1347d9c53d118e02c79653a58dca6672215006be1351dfac4c",
-          "038ec4fff32861a63133b963c21289c937cb99ff3d5d25087a90f11f7ead22905f",
-          "02bc4d92c6f6a29b329485d18b44a36f6839ae02f08a6cacd2c4c38f5362f13326",
-          "02ff1bf87f3678e125249b075738f7d099d156b4c2c7883b33c415c606d5de647f",
-          "03024eafcb471c00b1190b664cf64345b84646d19da188f34cef0b6b3fef542340",
-          "036f7dbb2a634ac0f672fa5fa383e74637fd9f2939ac453fbc6bfd31ec198037c7"
-        ],
-        "shared_public_key": "02e2c388d5361f4a713d9293d8f14e7686670b319b8ddbf2fa9806e69a1d7baa7c",
+          "0212b74f5a12c1514775bbea374ca2b0d8a9aea59d8e1d6c273f1e6e9dc8d59946",
+          "025a04c72800f05076c3b8fa3fcbca0dc6d31a4447dfe495e47f772e601e70d76f",
+          "02c8326aff15e6a945d50ed0ba378f620c6f1b953f44ae09b383e9d38e5f466350",
+          "03ec3e241171fcf165b0297fee0306d27b2da24375b8277267bc46482e530d5bdc",
+          "0306c68323f1014e3ff2552a4c65a0913208046aa19c3133d847b35b180e6adfe1",
+          "0232ac4d6e0ace04a7097219911024b8b5accd989013b827ee14703898963159b6",
+          "029827c4098718092ba3dafae414d2f70922523e4b3907f6fcda9dd551a6c10681",
+          "0264514e75e48cdbf19f8fc2173913eeedb97b45128e3da38d0858f950399cf513",
+          "0267b7bc5ee64f65b6130e83a47a621f3bd55a62416abd4c6188a31e22981ef360",
+          "020cf28970901820457cc6dddffb662a697bdbbde13010afcee9f31c2acd63deea"
+        ],
+        "shared_public_key": "031eb8e728667f36a67d6df6451441ce6c37aae1dd01dbcd0e62430174d663d989",
         "vss_setup": {
           "I": [
             {
@@ -4754,82 +9692,178 @@
           ],
           "min_signers": 2
         },
-        "x": "11ef0932a04e3674a032a8f1cecd5a79b7a2a5bb5ccc3c02f4468d197d1488a2"
+        "x": "89104f616fb0919327969c9df1e2f092776d324870e3ed25694919ec7a3090ba"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "9b3408d69bc8c513d0e2257092044aa08b543290f9bd1a1bbaa3250664f9044fb94dfd501a3fe71067f73d08609005649b2a686a9eaa7193c98730fd65b42fc45dc8c4571d230abc714e3d4abba151e2cb9df6cc23766f76e7509b9460c77ac66c30086774642628eb3bcd00cc9c11d775827e1e58c1326e8b0664b8c54fdaa30ad830cc17368e69a74143dabdf4cfdd11c1b8c4e72bbd72a2ea05ff0011ba637278f44736eb59b5508df5cf948c1af58a8bc2a04ac54a081482c3c11de29933"
+        },
         "parties": [
           {
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+            }
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         ],
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
-          "02cd2d277a8959b3b49a061ce16b8e3ddee404ecbef397f25bd7e81fc2ea9b1771",
-          "02a4b6a290a250f85a60f3369adedfd87895556dcbdf32fe83e0e9be5342b6f833",
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-          "02bc4d92c6f6a29b329485d18b44a36f6839ae02f08a6cacd2c4c38f5362f13326",
-          "02ff1bf87f3678e125249b075738f7d099d156b4c2c7883b33c415c606d5de647f",
-          "03024eafcb471c00b1190b664cf64345b84646d19da188f34cef0b6b3fef542340",
-          "036f7dbb2a634ac0f672fa5fa383e74637fd9f2939ac453fbc6bfd31ec198037c7"
-        ],
-        "shared_public_key": "02e2c388d5361f4a713d9293d8f14e7686670b319b8ddbf2fa9806e69a1d7baa7c",
+          "0212b74f5a12c1514775bbea374ca2b0d8a9aea59d8e1d6c273f1e6e9dc8d59946",
+          "025a04c72800f05076c3b8fa3fcbca0dc6d31a4447dfe495e47f772e601e70d76f",
+          "02c8326aff15e6a945d50ed0ba378f620c6f1b953f44ae09b383e9d38e5f466350",
+          "03ec3e241171fcf165b0297fee0306d27b2da24375b8277267bc46482e530d5bdc",
+          "0306c68323f1014e3ff2552a4c65a0913208046aa19c3133d847b35b180e6adfe1",
+          "0232ac4d6e0ace04a7097219911024b8b5accd989013b827ee14703898963159b6",
+          "029827c4098718092ba3dafae414d2f70922523e4b3907f6fcda9dd551a6c10681",
+          "0264514e75e48cdbf19f8fc2173913eeedb97b45128e3da38d0858f950399cf513",
+          "0267b7bc5ee64f65b6130e83a47a621f3bd55a62416abd4c6188a31e22981ef360",
+          "020cf28970901820457cc6dddffb662a697bdbbde13010afcee9f31c2acd63deea"
+        ],
+        "shared_public_key": "031eb8e728667f36a67d6df6451441ce6c37aae1dd01dbcd0e62430174d663d989",
         "vss_setup": {
           "I": [
             {
@@ -4875,82 +9909,178 @@
           ],
           "min_signers": 2
         },
-        "x": "74528e72ed09d1ee5af366f5fef343436550c6e42735475e7b9d1772c1c4ceff"
+        "x": "3672bb8a2fa603aa689d8f0117750b5ed565bc9a0b3fc58d554b336864f3fe50"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "90d935454860659b4faafbd9f1d14db4a4d44f58382a9f31128f221b4aabeb1efb3cb22bd4c2b48c85c581d9e820db3690f60e77f79aacaa8f29683b8f5b6a38eba34f5c7564309d766b6f6e493d5dea7f41f434419d218ff92bbb1422303ca50ee9d1d6b0e3a87eb9b26fd2d496bf684c9efca6cbdf0a67da8afb9c931bddf26c35fdc2cedbec339c684475e56f23b2d323a580f1c40761d91b4588d36e991452fdc7313267ad6a1da93f8b62598aafceb7585e8b17ef0b0b6be5acb9760127"
+        },
         "parties": [
           {
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+            },
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+            }
           }
         ],
-        "q": "da1bd0f7338a1392bd2c47e8ab98ef4a15c384d2803fa31881725faa3dc6f2ebeef1f1e5534816b27535bafc5db267cc58999375e8e94d485d3ac1a661403b6d8c7ec1745289038f5979d2ae1558d3e46bb66a470bf351ac8459b5a4b89857116d7b1d12988f474d4f4e082599564be0739f96d63d95d3fd766192f3e59a45d7cc2f216f04f44abf08a30cfd3868b839054fe037e9dfa669aa0e8ce15c35fc1d16165685f1beda7deead7105ef01ef7f3337969a0456e50e6aa7827f3c2333f7"
+        "q": {
+          "radix": 16,
+          "value": "ca7e1f122f982057a6349b1dcc2fff27bae34c74ef52715abc71f25aeead7f58bc09f0f25298edc9a12fa146a7d6e98b2818694b64b6d4e4b90624ad97cda88b7321578578874b4706f8b0172c6f87510949f2cfff8c53d67256dd78825622ab3da261d9232f2c0f1a9fa706cc8b099ea51a5874c31a3bef38725e51bce5a578c8dc34a406bc3e76302ea9348027dce592d5d440071ff0274814892d6d712a4a341dc71e12e58cabe814df751a0ddf6a8d2d5f2d509bfec46511224b172bca07"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
-          "02cd2d277a8959b3b49a061ce16b8e3ddee404ecbef397f25bd7e81fc2ea9b1771",
-          "02a4b6a290a250f85a60f3369adedfd87895556dcbdf32fe83e0e9be5342b6f833",
-          "035ef9eeae49c86dcf26637b173adc1cb526c7bf9cf3c0769ca56fda72207d5e58",
-          "029dc527982afa9c215a471886e4aa07ede9f5c6ee36d8ea447c4b9036848b45d1",
-          "02a888f8b90952ba1347d9c53d118e02c79653a58dca6672215006be1351dfac4c",
-          "038ec4fff32861a63133b963c21289c937cb99ff3d5d25087a90f11f7ead22905f",
-          "02bc4d92c6f6a29b329485d18b44a36f6839ae02f08a6cacd2c4c38f5362f13326",
-          "02ff1bf87f3678e125249b075738f7d099d156b4c2c7883b33c415c606d5de647f",
-          "03024eafcb471c00b1190b664cf64345b84646d19da188f34cef0b6b3fef542340",
-          "036f7dbb2a634ac0f672fa5fa383e74637fd9f2939ac453fbc6bfd31ec198037c7"
-        ],
-        "shared_public_key": "02e2c388d5361f4a713d9293d8f14e7686670b319b8ddbf2fa9806e69a1d7baa7c",
+          "0212b74f5a12c1514775bbea374ca2b0d8a9aea59d8e1d6c273f1e6e9dc8d59946",
+          "025a04c72800f05076c3b8fa3fcbca0dc6d31a4447dfe495e47f772e601e70d76f",
+          "02c8326aff15e6a945d50ed0ba378f620c6f1b953f44ae09b383e9d38e5f466350",
+          "03ec3e241171fcf165b0297fee0306d27b2da24375b8277267bc46482e530d5bdc",
+          "0306c68323f1014e3ff2552a4c65a0913208046aa19c3133d847b35b180e6adfe1",
+          "0232ac4d6e0ace04a7097219911024b8b5accd989013b827ee14703898963159b6",
+          "029827c4098718092ba3dafae414d2f70922523e4b3907f6fcda9dd551a6c10681",
+          "0264514e75e48cdbf19f8fc2173913eeedb97b45128e3da38d0858f950399cf513",
+          "0267b7bc5ee64f65b6130e83a47a621f3bd55a62416abd4c6188a31e22981ef360",
+          "020cf28970901820457cc6dddffb662a697bdbbde13010afcee9f31c2acd63deea"
+        ],
+        "shared_public_key": "031eb8e728667f36a67d6df6451441ce6c37aae1dd01dbcd0e62430174d663d989",
         "vss_setup": {
           "I": [
             {
@@ -4996,82 +10126,178 @@
           ],
           "min_signers": 2
         },
-        "x": "d6b613b339c56d6815b424fa2f192c0d12fee80cf19e52ba02f3a1cc0675155c"
+        "x": "e3d527b1ef9b75c2a9a481643d07262af04541994cb33c7a350717a74c1a9137"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "b4f1b3f3b04846a8bf3e81a92e288160d7ae700b96b876828ad120f56e63aa66d491b1ffddb7a66e3ac0c6c600e84af179bd685a5740008bf1b87e8b9c50e60c65dbdd24a5e46591617ba372958b5a8e08f9dab750f3bd929969e0b28efffbe51a3705625f3b449799f277b9ec29f14104676618fa492f6abd4d699b5ad91a652a11f102447fef7a64a5f0c3f526b09106e3fa5c0469471412fe424f5aa112d396042a0105be520e9cd170fb2dc326a8f6335688c184282a1b2c61dea8be3537"
+        },
         "parties": [
           {
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+            },
+            "t": {
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+            },
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         ],
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 5,
         "public_shares": [
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-          "02a4b6a290a250f85a60f3369adedfd87895556dcbdf32fe83e0e9be5342b6f833",
-          "035ef9eeae49c86dcf26637b173adc1cb526c7bf9cf3c0769ca56fda72207d5e58",
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-          "038ec4fff32861a63133b963c21289c937cb99ff3d5d25087a90f11f7ead22905f",
-          "02bc4d92c6f6a29b329485d18b44a36f6839ae02f08a6cacd2c4c38f5362f13326",
-          "02ff1bf87f3678e125249b075738f7d099d156b4c2c7883b33c415c606d5de647f",
-          "03024eafcb471c00b1190b664cf64345b84646d19da188f34cef0b6b3fef542340",
-          "036f7dbb2a634ac0f672fa5fa383e74637fd9f2939ac453fbc6bfd31ec198037c7"
-        ],
-        "shared_public_key": "02e2c388d5361f4a713d9293d8f14e7686670b319b8ddbf2fa9806e69a1d7baa7c",
+          "0212b74f5a12c1514775bbea374ca2b0d8a9aea59d8e1d6c273f1e6e9dc8d59946",
+          "025a04c72800f05076c3b8fa3fcbca0dc6d31a4447dfe495e47f772e601e70d76f",
+          "02c8326aff15e6a945d50ed0ba378f620c6f1b953f44ae09b383e9d38e5f466350",
+          "03ec3e241171fcf165b0297fee0306d27b2da24375b8277267bc46482e530d5bdc",
+          "0306c68323f1014e3ff2552a4c65a0913208046aa19c3133d847b35b180e6adfe1",
+          "0232ac4d6e0ace04a7097219911024b8b5accd989013b827ee14703898963159b6",
+          "029827c4098718092ba3dafae414d2f70922523e4b3907f6fcda9dd551a6c10681",
+          "0264514e75e48cdbf19f8fc2173913eeedb97b45128e3da38d0858f950399cf513",
+          "0267b7bc5ee64f65b6130e83a47a621f3bd55a62416abd4c6188a31e22981ef360",
+          "020cf28970901820457cc6dddffb662a697bdbbde13010afcee9f31c2acd63deea"
+        ],
+        "shared_public_key": "031eb8e728667f36a67d6df6451441ce6c37aae1dd01dbcd0e62430174d663d989",
         "vss_setup": {
           "I": [
             {
@@ -5117,82 +10343,178 @@
           ],
           "min_signers": 2
         },
-        "x": "391998f4868108e0d074e2fe5f3f14d703c60e8814efbf90969061624ec23668"
+        "x": "913793daaf90e7d9eaab73c7629940f74e3dcbeae70f14e22109312336ddfecd"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "91ab1a4b79d73e9490bc6d8461491873345e6fea54a5617a95fb8899653e6263139f9e3f49416a5aac964c4ebc0cd0cc447071afd371891e31751bd90caa6905d951b7f26234c746d8a14e262099f2713d7da312fe772a4e89e3e89189e24c0b5a399e3c16bed5ecfc15614d728830e5e8316eaea047622d36ccbe68823d0a268feb1533cf5c4b274281bc38f1f1a76ac9b7c3cd77f4d457a52c3a172d69877cc63316a27fc64392423cec944e474fc3f733d7108cdda9432a36f8aa13c67ddf"
+        },
         "parties": [
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 6,
         "public_shares": [
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-          "02a4b6a290a250f85a60f3369adedfd87895556dcbdf32fe83e0e9be5342b6f833",
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-          "02bc4d92c6f6a29b329485d18b44a36f6839ae02f08a6cacd2c4c38f5362f13326",
-          "02ff1bf87f3678e125249b075738f7d099d156b4c2c7883b33c415c606d5de647f",
-          "03024eafcb471c00b1190b664cf64345b84646d19da188f34cef0b6b3fef542340",
-          "036f7dbb2a634ac0f672fa5fa383e74637fd9f2939ac453fbc6bfd31ec198037c7"
-        ],
-        "shared_public_key": "02e2c388d5361f4a713d9293d8f14e7686670b319b8ddbf2fa9806e69a1d7baa7c",
+          "0212b74f5a12c1514775bbea374ca2b0d8a9aea59d8e1d6c273f1e6e9dc8d59946",
+          "025a04c72800f05076c3b8fa3fcbca0dc6d31a4447dfe495e47f772e601e70d76f",
+          "02c8326aff15e6a945d50ed0ba378f620c6f1b953f44ae09b383e9d38e5f466350",
+          "03ec3e241171fcf165b0297fee0306d27b2da24375b8277267bc46482e530d5bdc",
+          "0306c68323f1014e3ff2552a4c65a0913208046aa19c3133d847b35b180e6adfe1",
+          "0232ac4d6e0ace04a7097219911024b8b5accd989013b827ee14703898963159b6",
+          "029827c4098718092ba3dafae414d2f70922523e4b3907f6fcda9dd551a6c10681",
+          "0264514e75e48cdbf19f8fc2173913eeedb97b45128e3da38d0858f950399cf513",
+          "0267b7bc5ee64f65b6130e83a47a621f3bd55a62416abd4c6188a31e22981ef360",
+          "020cf28970901820457cc6dddffb662a697bdbbde13010afcee9f31c2acd63deea"
+        ],
+        "shared_public_key": "031eb8e728667f36a67d6df6451441ce6c37aae1dd01dbcd0e62430174d663d989",
         "vss_setup": {
           "I": [
             {
@@ -5238,82 +10560,178 @@
           ],
           "min_signers": 2
         },
-        "x": "9b7d1e34d33ca45a8b35a1028f64fda0b1742fb0df58caec1de6ebbb93727cc5"
+        "x": "3e9a00036f8659f12bb2662a882b5bc3ac36563c816aed4a0d0b4a9f21a16c63"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 7,
         "public_shares": [
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-          "036f7dbb2a634ac0f672fa5fa383e74637fd9f2939ac453fbc6bfd31ec198037c7"
-        ],
-        "shared_public_key": "02e2c388d5361f4a713d9293d8f14e7686670b319b8ddbf2fa9806e69a1d7baa7c",
+          "0212b74f5a12c1514775bbea374ca2b0d8a9aea59d8e1d6c273f1e6e9dc8d59946",
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+          "03ec3e241171fcf165b0297fee0306d27b2da24375b8277267bc46482e530d5bdc",
+          "0306c68323f1014e3ff2552a4c65a0913208046aa19c3133d847b35b180e6adfe1",
+          "0232ac4d6e0ace04a7097219911024b8b5accd989013b827ee14703898963159b6",
+          "029827c4098718092ba3dafae414d2f70922523e4b3907f6fcda9dd551a6c10681",
+          "0264514e75e48cdbf19f8fc2173913eeedb97b45128e3da38d0858f950399cf513",
+          "0267b7bc5ee64f65b6130e83a47a621f3bd55a62416abd4c6188a31e22981ef360",
+          "020cf28970901820457cc6dddffb662a697bdbbde13010afcee9f31c2acd63deea"
+        ],
+        "shared_public_key": "031eb8e728667f36a67d6df6451441ce6c37aae1dd01dbcd0e62430174d663d989",
         "vss_setup": {
           "I": [
             {
@@ -5359,82 +10777,178 @@
           ],
           "min_signers": 2
         },
-        "x": "fde0a3751ff83fd445f65f06bf8ae66a5f2250d9a9c1d647a53d7614d822c322"
+        "x": "ebfc6c2b2f7bcc096cb9588dadbd768fc715db3bc2de6436ecc72ede08c7ff4a"
       }
     },
     {
       "aux": {
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+        },
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       "core": {
         "curve": "secp256r1",
         "i": 8,
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-          "036f7dbb2a634ac0f672fa5fa383e74637fd9f2939ac453fbc6bfd31ec198037c7"
-        ],
-        "shared_public_key": "02e2c388d5361f4a713d9293d8f14e7686670b319b8ddbf2fa9806e69a1d7baa7c",
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+          "0264514e75e48cdbf19f8fc2173913eeedb97b45128e3da38d0858f950399cf513",
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+          "020cf28970901820457cc6dddffb662a697bdbbde13010afcee9f31c2acd63deea"
+        ],
+        "shared_public_key": "031eb8e728667f36a67d6df6451441ce6c37aae1dd01dbcd0e62430174d663d989",
         "vss_setup": {
           "I": [
             {
@@ -5480,82 +10994,178 @@
           ],
           "min_signers": 2
         },
-        "x": "604428b66cb3db4d00b71d0aefb0cf344fe97754cd13431e38da35ab206fe42e"
+        "x": "995ed853ef713e20adc04af0d34f915c250e658d5d3a3c9ed8c94859f38b6ce0"
       }
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       "core": {
         "curve": "secp256r1",
         "i": 9,
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+          "0267b7bc5ee64f65b6130e83a47a621f3bd55a62416abd4c6188a31e22981ef360",
+          "020cf28970901820457cc6dddffb662a697bdbbde13010afcee9f31c2acd63deea"
+        ],
+        "shared_public_key": "031eb8e728667f36a67d6df6451441ce6c37aae1dd01dbcd0e62430174d663d989",
         "vss_setup": {
           "I": [
             {
@@ -5601,36 +11211,60 @@
           ],
           "min_signers": 2
         },
-        "x": "c2a7adf6b96f76c6bb77db0f1fd6b7fdfd97987d977c4e79c030c00465202a8b"
+        "x": "46c1447caf66b037eec73d53f8e1ac288306efdef7961506c4cb61d5de4eda76"
       }
     }
   ],
   "t=Some(2),n=2,curve=secp256k1": [
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "c54ed22dcec6862c7740cd315dce9119f97e5e30f7e6f325eeac9aa07be3368ac4b31210382c4c3cbc57f478f4eecc6f3e23601870f820bb74f5a654c3da52818f8325e2c693d1d6ab9c386c68baef5614aee50b8bce42b019bb5bf335c5e0014479c8909d05acde19b0615a84c24d7460294995de949f5f2779bb9dc849ba586329295f761b41cc50807eca4cf3a160daf4c0d080f6ca61cdbd053b54ff3aceee79b0d0e8494e5e12a8f65b86215f4f25763c86074074545da2eb789996ea1b"
+        },
         "parties": [
           {
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+            "N": {
+              "radix": 16,
+              "value": "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"
+            },
+            "s": {
+              "radix": 16,
+              "value": "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"
+            },
+            "t": {
+              "radix": 16,
+              "value": "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"
+            }
           },
           {
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+            "N": {
+              "radix": 16,
+              "value": "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"
+            },
+            "s": {
+              "radix": 16,
+              "value": "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"
+            },
+            "t": {
+              "radix": 16,
+              "value": "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"
+            }
           }
         ],
-        "q": "9e05ed78159fb6e97e8621b44cba20b138a50b9f1c533ac69d693c574676b0d67e923061928ed37f50ffb7e082147c8c2816afafc90790d079f33350630810933a39a9d517bcc8522c1ff9aee3b9374a59ba9a824da7b85caf628cebee6b6e94e453c247396c584645f7912387898581cd53150303225263363834c2d45edbc22087dcdf21c3acee0ff1f3aeb61974ff652f8be5d030f8ea5cafc1555223d355608cffab855c1642ddefef3beca845dad39d715ff40acbe353abd7f6bacaf413"
+        "q": {
+          "radix": 16,
+          "value": "e2c8f26ad94a1b1145e6e79f34320984f9a4aabe76eadaae7e357b7a55ea39f0c6eb4a05a06fee4a2b9c469333e0c934867ba351ac27311b2515083ac65026f43e389f5a3fd44f5f9b4ed3060508fbca8d0f503639ad1932991d36e3fa97ba25520eaabd8ab9b3882d01f9b6cdf62fc583f0e2342d280f957626ed6b607cb8f7a373136825ee47d43fa0c757a52e7c47fe6306c9742eb2831609a7f712f3731c6791e4651b929d2081ecfb40b4c4eefe08082e988028d9312ecf8684f453c76f"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
-          "0350a767044a42e0cbf05491f7d9e89c4cd8c8cb922e1563f653fdc078eba89984",
-          "03a22273245f9f5109c34022e8242f1c9c7091fda6143e4663a3c09de0275677da"
+          "02e90c02e7b205c4448356213df2610c192db25d12e10cac12795235381112a52a",
+          "03ddf1fb57ce6678b3a6a6034d6af86d02379d8d70920f232e7707230b91a82906"
         ],
-        "shared_public_key": "032173371cf6f8f72eb9cb14af392b0126d5fbe9515cd6f194b063ffae359b10ae",
+        "shared_public_key": "024c04f5483d15ec0c5b5ff5bd1ea9f23d8e6c0934f22f4b146bbe0d9d41dc3301",
         "vss_setup": {
           "I": [
             {
@@ -5644,34 +11278,58 @@
           ],
           "min_signers": 2
         },
-        "x": "96df46260334d76a6906fa5ff493193a45e64f47e9c5ed96b91c0be933681d6e"
+        "x": "7aa36e0f44064e6e8abd619c3b1ab2271f831db10c5223c805e0c84d105fa910"
       }
     },
     {
       "aux": {
-        "p": "949e3e738390897042dcf060b60a8304a3de8371fea0834a56ec83de8e703421ed0261a8735432045cde54f53176f3a578a0b7424d0283d24e81b83de40a499be8f35a586db8000fe6335ee8aadf01620ca47dee008adaa7d621d0594996f4a02f7c8d31498cb1b6a1a867f591f6436019fc941d419eb592cd979ac223d202da4b729cacec5bb7466835ca599d8f0e98aeb35d9706919d6c201cf284cab9a85248483efc4eb98227cc6ed5e14ddd2c075e482047bc493c7f4a1d10181ca90487",
+        "p": {
+          "radix": 16,
+          "value": "b139db73d36cf0fd6a8ce518d90f2af1edaaf8df8b680ffb2c286ceb3d4b2b0c2b92fa51999a578ee13ece8dbe3e7c37fefbe516095c1f8e31f756733059b43c74af40bd180fb36e50c6213c167a3735398ae9fdb9be74185a79bb33fbe111181e3a4b0f7ac2655220f8f1665603350df9a0ecbac8c384a599f765f0d2fa7ab642b45b523a602606a9e67de88f001ef7189093613bd3e3e2fb7a75702f2482c8bf9f26d41d3586918b10f93d200d338d3317eed9252fc723a07e29c5a8c49d6b"
+        },
         "parties": [
           {
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+            }
           }
         ],
-        "q": "ec169f5930c34803f60da2952a96a49d8d90e1db6f56fb614a462500616af99334ca22535a9840070364d5f3026b4f8dbe40fcf6fd030bfd36de7b2a83502c53637d908a5098fa7efa733444b017a262bd900d04073b8db94df1114314adf5cf7c854bae981fa436b5386a93f59520b3f59e991cf8af378acb4de5ec36d3821326e69175398d06f039763cfbf47c7d478fb3a8c7d0fb5edd0148523908cefc17c78cfa6f1128316841dce0b8759b54dcaf13b9a4608f3f9b662dba27eab4c633"
+        "q": {
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+          "value": "a0113abb89fb122c3a2c2c471a6ec1d7836042d254078d60859bb8333c66eae1061287924ba18ed552429a6635dc3c122061ece43ad62472fcfbdb0521c3161b02b85bc98336e5d1a8c07a8302c663f6d4390abb01f15260281800454076ef53e409f7fd44f62cc13bb77cce38686d1a0f99f12c64e28d7523eebe33fbd8d0ed096fcfc33e020d4002c82e4367e8371013b82d909b827357fb6ec5d5b94ef2bf10baacc0573554de6c84798047fd79c001b079aa150446823c5d52b54fc25867"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
-          "0350a767044a42e0cbf05491f7d9e89c4cd8c8cb922e1563f653fdc078eba89984",
-          "03a22273245f9f5109c34022e8242f1c9c7091fda6143e4663a3c09de0275677da"
+          "02e90c02e7b205c4448356213df2610c192db25d12e10cac12795235381112a52a",
+          "03ddf1fb57ce6678b3a6a6034d6af86d02379d8d70920f232e7707230b91a82906"
         ],
-        "shared_public_key": "032173371cf6f8f72eb9cb14af392b0126d5fbe9515cd6f194b063ffae359b10ae",
+        "shared_public_key": "024c04f5483d15ec0c5b5ff5bd1ea9f23d8e6c0934f22f4b146bbe0d9d41dc3301",
         "vss_setup": {
           "I": [
             {
@@ -5685,36 +11343,60 @@
           ],
           "min_signers": 2
         },
-        "x": "634251a70e957b9d95ea964ca4d2844508e0b550ba3d911c3cc2cc1090962e0e"
+        "x": "d958cb47975fc9a9a6324b66764411e08748650bb34c3df1aba4a2f1b931731d"
       }
     }
   ],
   "t=Some(2),n=2,curve=secp256r1": [
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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           }
         ],
-        "q": "e6559c8aaa68a5fc18a3f55061bd5af4e13ba4e66d91fe238549502e6e2c26735324f068485c66b618661ae143673fbff0f04627e704ef770b968609e21bcc6cdbbe5050fe7913db69be2a430242d5b7d338d60cb9907995d019f35b34f082c2754c8836424595c793088da53e910b373b484c15ed044d4cbbd97b63172e6a7118f1b02eb8cb5ed71aae579b5ecd7eb84e0f26b51bf5e28c6b764ade7756d5bba6f2d7b02c3f937b93a6d5f5b01057d5ce597e06ca973ceb6c5bf0fd060e7e97"
+        "q": {
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+          "value": "ed57d5c019fc1f02a9dcff82e9829e5caf53e7214b8a7546841658c52122e018bc9cefc2a07f681724c9c7497ea264ec1481fd94304c021e9ab94cf23b5f6bc77df7bf5b1a953663ee7f19d7ca2478bd238f5851944b923efb0af573f435a54b199002e9841accc6c38ce9419e9a82fadfd2e46f0f0a5a6e8fb64fb187d4c56171d4c3d1127b4f4d969a8b1a4d71a504fe56112dd306ed24735d33fcf18b77f0339b0dac86fe2838b848fe724915bca9a52db4a692a9a61255b655d5bbdf0ffb"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
-          "027f70af0505a68854adda509011b74c79673b7f4df1d1d125f9879b18ea953e3f",
-          "03a27be9278c29ca5894e54310bf47eeb068ebc95f4a1426302a4f317b2ab79a67"
+          "033870df29c1bf163a283f09a32363138f2e3741f33044395dff072f46f051ccf2",
+          "027ee9d1be48e698e824fe7053560b5a0ccab313c7b62f7fd59d02d0cae86ac430"
         ],
-        "shared_public_key": "039b18a4606461224a9d147ff828b023e32954a4acaf31ed87b5cf5301d599942d",
+        "shared_public_key": "020dd516ec68798de487c72697dc71151b1f0063f16b19ea31bde8236ecf995a92",
         "vss_setup": {
           "I": [
             {
@@ -5728,34 +11410,58 @@
           ],
           "min_signers": 2
         },
-        "x": "244ef0d94697b63fb4be6fc96f8578b020f12be5d9fe96597eec702803a9fa85"
+        "x": "7958d22535b4a93a3128d54efea368cf50b4bde35eef34e67bb5a7c1c5277c13"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "d859edcfdd715d1a8d18884fcd70f42c2529cb9566c46e553358e0602c6c1f741a3792bccd5fef1b9767265e06f1039b6e9fd8cb4de0f3da033cead97fcaba448374b762713a6be41b9c29a64c01ba7197ba04c900ce2c3b7daa358e66b526618b914889d613ed5adf6e4eb3ba772e972d8e564fe90711de7464fac119bebbacf68f294a4a78c491c853df7f3c28ca01cd90512b4b517517349dbe60bcc0914e676423c266ca63dd51f49359ad4d84acf3cf3d2aff7f28e044d3b22c0bbce463"
+        },
         "parties": [
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+            },
+            "t": {
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+            }
           }
         ],
-        "q": "ccb493853be1846c1ae3f3e33c4c07365568dac26ea1d6c7a6ef4c45a4688d43f6da11927391d1b541902b7f90f9ed407706867c7ec8b96b96e9ff25d78563d9e58558a127d1020cf7ad0e1b66d8def7aa4067e926d592008b2d141ffaf009329d759b6982332a966eb1280c1fb953258c55b0cf44de8726ffd655f9c92cf6f758f022ceb1845b5759db3708c069bd6694687b838d5d186820ca264ef38ee34a56d2bcfb08207f1d2a47696b9a5ed792654b3aefade8059fac142960aadffcc3"
+        "q": {
+          "radix": 16,
+          "value": "97544d1691419d81ccf42d9518f88cbaf84acddf2fbb1105df3441020de367558660fcb47c61bed931b221a062b5b524495a016ca2152ebcdb780d94cc474b9e21b670fa6c9805fe2a087484b995561a7aa06c64a448d02050421c53913cd25d50c0f76aedc26cfa5dca51a13a4af57a0c878bf6c1e183f7d956391ea59bd1da7a7dff6491f74a908789d9d82bf556b2941bd51d759fc703cb89f89c1e852b4b230dcca34b46347ac857c2aa95a8e3622eebf5e96b6526fadd5a19d379137da3"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
-          "027f70af0505a68854adda509011b74c79673b7f4df1d1d125f9879b18ea953e3f",
-          "03a27be9278c29ca5894e54310bf47eeb068ebc95f4a1426302a4f317b2ab79a67"
+          "033870df29c1bf163a283f09a32363138f2e3741f33044395dff072f46f051ccf2",
+          "027ee9d1be48e698e824fe7053560b5a0ccab313c7b62f7fd59d02d0cae86ac430"
         ],
-        "shared_public_key": "039b18a4606461224a9d147ff828b023e32954a4acaf31ed87b5cf5301d599942d",
+        "shared_public_key": "020dd516ec68798de487c72697dc71151b1f0063f16b19ea31bde8236ecf995a92",
         "vss_setup": {
           "I": [
             {
@@ -5769,42 +11475,75 @@
           ],
           "min_signers": 2
         },
-        "x": "ee8ecc691f5379d4d87bd1176674c06388573c82152a9f33c596035159e1279e"
+        "x": "e3bafe85b835faeb501c9074eb833e037097dde3d4341a1b9d877f5098f52292"
       }
     }
   ],
   "t=Some(2),n=3,curve=secp256k1": [
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "bf31d43b09c9d899287012615f70a03392c30b815b7be6a7c75a091cca96bc10a01fbe0cfa28dfa05447ef2456f9828823fc997c3c2aa3b375fb5c33f3ad60ac39f83921010c647ad63f7d4f9101078f0810331cc218f740dd7fc8f3fdd1fe497641ef53d4dd0a38d524dbcc7dbd85ade4b009079f48e8dd8c0cb8a62c28ab69525394fbc72654edd2320ec3f2a92a14ee5ef8f1e57c2b4d2fecc6667e672f62c6ca0a74f20b136caefa51c1b115eb2e62f6788e01c1711d9d38759ceab91947"
+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
-          "036e66da68692ef88408780a1581703820dc6abaa99c72373516f65704909878f2",
-          "026663ac320f9a7e9a49d018cb83a21e6d7a3b0645984f698602c2e6bd48abe1cd",
-          "033697534d8cf6fd2bc1bab7137fbc634702ee5645945545fff09323051288f970"
+          "02ab05c91b859eb82554cb9c8abe1b3b89083ff33527067c703aaa60ef82ae7788",
+          "02e79e2837faf4d1eebbd393153ffa3377120a907396d045c9794f2647dc7cfb4e",
+          "02208ceecb13f2a098ef41b2e01cf12d8b939a091098f6bfd14d01278e281c88a1"
         ],
-        "shared_public_key": "033e4864e5b66749d5ee341e82076a912040d5a0e28044777432b37ec30934fdff",
+        "shared_public_key": "0301b9fc319b45bb2d2e31b65d0c46d76db2a96c346fbf03011d6f2137fcb08207",
         "vss_setup": {
           "I": [
             {
@@ -5822,40 +11561,73 @@
           ],
           "min_signers": 2
         },
-        "x": "94e86e9a3e3139b80a2d4d046df16515d68e24a3a3c90a0a9bfa7f55ceb462c0"
+        "x": "8ed8a36de33eb859dec2d84ba136bf464ca0dd3c6100d4df6edd8ad7449755ef"
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     },
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+            }
           }
         ],
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+        "q": {
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+          "value": "e9b85d9326b427ea17c6ebd8ca14d1af0648e77516d30b61cd48c474776dd4360a7bea638f71fb6dc16b21930749dafee5766be26fe8797066705aec6f845fe7f67028bb45ffca8fb00450ff8c127f367879ae600c32dca67d52f59e1cd2277eb58e947faa069e65783d84d98a415486be6a24d9366e4186e4f89332bb5bbc1c17575a3cf57917698ae92af2014c8266589c595f633bafdc5582acb29e24439a0af28940a4be28e088311ae1feb3111fd51385aaff58140a07dea4a8ab9843ff"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
-          "036e66da68692ef88408780a1581703820dc6abaa99c72373516f65704909878f2",
-          "026663ac320f9a7e9a49d018cb83a21e6d7a3b0645984f698602c2e6bd48abe1cd",
-          "033697534d8cf6fd2bc1bab7137fbc634702ee5645945545fff09323051288f970"
+          "02ab05c91b859eb82554cb9c8abe1b3b89083ff33527067c703aaa60ef82ae7788",
+          "02e79e2837faf4d1eebbd393153ffa3377120a907396d045c9794f2647dc7cfb4e",
+          "02208ceecb13f2a098ef41b2e01cf12d8b939a091098f6bfd14d01278e281c88a1"
         ],
-        "shared_public_key": "033e4864e5b66749d5ee341e82076a912040d5a0e28044777432b37ec30934fdff",
+        "shared_public_key": "0301b9fc319b45bb2d2e31b65d0c46d76db2a96c346fbf03011d6f2137fcb08207",
         "vss_setup": {
           "I": [
             {
@@ -5873,40 +11645,73 @@
           ],
           "min_signers": 2
         },
-        "x": "c6ed29e3504b25748670fca347dbb980f97f8421023b5cdd28d575c424d44b30"
+        "x": "270846d129880a7d849b1ade6128aca7e9860ad21d31814e4807ddebc907a9d6"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+            }
           }
         ],
-        "q": "92eb04f6531fd1950f6b0741208674a99a011c2acf1e225b90373aba8199524d0d75e17c29c9d4b2809e33deec508a8b4f107ae4ed0b62c341bf265dfaaa05f3a17c96ca9a62eb5812d19321b79d9db145b4039dec6814eb1b0dd8eca661bedff6b81d8dcd8949a4b66734869cc628d2362c279d500ab16abc1f6051af15000f39baaa966b649452b178b4c68059cf013647b84d152382e06c9386d1205b67cbe9e6ec63d17ff3c41bb924ec8dc4733c338e968167d8e57cc7d6db336f0ceafb"
+        "q": {
+          "radix": 16,
+          "value": "80b81416a3484ef9d7e6b14b46c7282273e694c4f00a9a3ec9f9c1c8d0c2c31a950b4bce7dcfe47c9e2e2c1f1dcafdd5d2afedea0a2acb29063d599a95b36dd054b1d6696fe8b61c8e3cd84670ace33d122e83696bd3c587208eb85fd217a111445d98dc6a8a78aff669d29a7527640fc53ea2723c2c897fb45af60719ce8a10fd4dc85bce355a724f6be7d29205e5121c009a5377e5ac835e9666b376b175d8fcc051aeb3e7ce6aeb914a01f88f699cbbed3446473c24fe2df3c6bde36c7ee3"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
-          "036e66da68692ef88408780a1581703820dc6abaa99c72373516f65704909878f2",
-          "026663ac320f9a7e9a49d018cb83a21e6d7a3b0645984f698602c2e6bd48abe1cd",
-          "033697534d8cf6fd2bc1bab7137fbc634702ee5645945545fff09323051288f970"
+          "02ab05c91b859eb82554cb9c8abe1b3b89083ff33527067c703aaa60ef82ae7788",
+          "02e79e2837faf4d1eebbd393153ffa3377120a907396d045c9794f2647dc7cfb4e",
+          "02208ceecb13f2a098ef41b2e01cf12d8b939a091098f6bfd14d01278e281c88a1"
         ],
-        "shared_public_key": "033e4864e5b66749d5ee341e82076a912040d5a0e28044777432b37ec30934fdff",
+        "shared_public_key": "0301b9fc319b45bb2d2e31b65d0c46d76db2a96c346fbf03011d6f2137fcb08207",
         "vss_setup": {
           "I": [
             {
@@ -5924,42 +11729,75 @@
           ],
           "min_signers": 2
         },
-        "x": "f8f1e52c6265113102b4ac4221c60dec1c70e39e60adafafb5b06c327af433a0"
+        "x": "bf37ea346fd15ca12a735d71211a9a08411a154e88aacdf8e1048f8d1dae3efe"
       }
     }
   ],
   "t=Some(2),n=3,curve=secp256r1": [
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "db750b48f880f096e86d956932ad078c58ab076ff24c0e35bc8eab154f4b7f3390356965273d0ef510b04ca41f3da664d9d4ecc2f90d0eed1207ec2fc2e30aaf2c9c71b2fefbd3bc7b3d475be892f47373ac6c28b509ad7b4fd754026f982c867526c1942ed24b1722d0f095286866edcd03c8ff8ff810a5021666de06eebc3b0811b7c8205ba6030c415ae35a9c2bc4ab2db953d3e27370a26255db36fad40db874e787912ecc7608b18b4a6e346f1f59dfe9ab7ce69e64ba452a3db06939e7"
+        },
         "parties": [
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         ],
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+        "q": {
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+          "value": "8f1e5240e1ed388b0c5538e59726dceb2c80d082d0a0c48ec67ace2fdd270cd09128ce13b465d32c74e9cb25c921e4656c34e08224eae447184d9e2d5ddb6ced2e5bc9e00b5574821f903e0d821edc70a2aa2bca28e6f519205839dbaccdd5ec89c49e40d8d53d5c5ab60309f8a9563f7a24afe77d2e08ea7472638cde0629efbdd2b1b85d3952e0a5c5c13375c080a5691eaa3d3b979fe2a2abc0e3dc55802d07af3830ddb993de32f73f84bc593cf380facff6c1b6919c51cda52238b93733"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
-          "035c7b3eb71850a3e5121f8cbe9f9886ba30d6c3bcfa3103dbbacd15747cafc447",
-          "02da9c9787803e530168cd9a50aeb4a21c0f57751a0574576b2c34907388db5a30",
-          "0216e221e02887857cd92088422519e165e6248045ffeb0a58f0dedf6b442872df"
+          "02cf4205a71bcaf7a5e9ca1f82e2c9b56c0ea6d3efb31bf88a41f15cf7726e361e",
+          "02e8a6daac9189ac37d5e4f5502a41b08403e38f2d7e962deba96a9b66cb323ac7",
+          "03deb24f375e7381954fd998f1111b7599dfb12830aff9985411928caef0567e0b"
         ],
-        "shared_public_key": "025d42269c40823210daf4c0c325564674a93394e4cb89349c63450567fa81052b",
+        "shared_public_key": "0245233d99187d6264a45a9d412aab0db39b7bb0acb982a313bbba2f1fc2432ee5",
         "vss_setup": {
           "I": [
             {
@@ -5977,40 +11815,73 @@
           ],
           "min_signers": 2
         },
-        "x": "8dc75adaab08efe344a6334faedf7641db58b92fe0c8680d9811a5c8abb0854f"
+        "x": "6a96b1ffa1d5ad6f549cfb3065be7ab2f66eb61ede3bdba8d7eb704a88ac8cee"
       }
     },
     {
       "aux": {
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+            },
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+            },
+            "t": {
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+              "value": "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"
+            }
           }
         ],
-        "q": "dadad2b823d2a920685fcf09e1da87ef14d5d923d538757feca940db5f8a368664f7f89920b6306920e4da4ed25633c5d1acc2f7cb9f6dae89ce9e05f4256178d86493a1cf893a2605a3687fb9d925e7335c279812d66548a80c59b5d3fae577c67c01c1c153a65b159743b748b791f2b5c0a57b44ccf57b53c6f7277bd3905ee659139ee42d97c5e8d3c31a7e8f5f295b7eea45f376917fcfd5ec521283fa2c1bb39fde6f1c4ba7e06065c0ee81d9278652a0d356504f1544ca1c57ed9e088b"
+        "q": {
+          "radix": 16,
+          "value": "8edf4b5d61b6d02c6abf278561fbd0439610b6ec73035e4089b2a5a29dbcd2bfcc717e041e4e0c60d8e0e667c6a3e41becf452af7ab5d361f86436379ae925e282de691e5826ffb60d4d882c93acf3bb34ab8c707fe8644e3ae1f94113941eb53fb92fd198cbd2f0190eca51f989a955235f49554e944c0939048ad5896f6286cf50b3e7d75524def7187161197c421cf1beac3a698e0d786dfa7e7db7ee15d3108e9a9046f63ce255407092c09adb42af79d653221fca6232e5c42a954af83f"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
-          "035c7b3eb71850a3e5121f8cbe9f9886ba30d6c3bcfa3103dbbacd15747cafc447",
-          "02da9c9787803e530168cd9a50aeb4a21c0f57751a0574576b2c34907388db5a30",
-          "0216e221e02887857cd92088422519e165e6248045ffeb0a58f0dedf6b442872df"
+          "02cf4205a71bcaf7a5e9ca1f82e2c9b56c0ea6d3efb31bf88a41f15cf7726e361e",
+          "02e8a6daac9189ac37d5e4f5502a41b08403e38f2d7e962deba96a9b66cb323ac7",
+          "03deb24f375e7381954fd998f1111b7599dfb12830aff9985411928caef0567e0b"
         ],
-        "shared_public_key": "025d42269c40823210daf4c0c325564674a93394e4cb89349c63450567fa81052b",
+        "shared_public_key": "0245233d99187d6264a45a9d412aab0db39b7bb0acb982a313bbba2f1fc2432ee5",
         "vss_setup": {
           "I": [
             {
@@ -6028,40 +11899,73 @@
           ],
           "min_signers": 2
         },
-        "x": "d0c925cf06b517014b096a2347d01eef6d27003204b501479e6385163806ddf6"
+        "x": "fc092a3b50907c167ed58697e535147e7ba92586b24e9fb06916097cd5829eae"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "c81bc48a541b00487194047344f417114627bf22c966fe9c814e763cc36ebe1f70e60860b69f8989bb8b71c0f689bec8b369dd36529a42dc410ee07264a5c893f798729aa7f1063e64e885b35227f5a55f1572bd4f26474161f7923532d499d7f72450f426dce4364632f81627f606930aa8575d81d3e53fbf0bd02c64c85004089ca1145d623b79556210a66cf9cd7487b967831a8e8022111a452823fbe2d6150c7c81f84f4a46762c75381cde9022ba1ac57139795f5c63f1759e0b2ddc07"
+        },
         "parties": [
           {
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+            }
           }
         ],
-        "q": "da6701f6257044114357d5c74873a3754d01ef6f6c1a0857e5a937b735c912395935f6597165cccb1d22034ff324e49e10cf29f0d827188450b35535cf49b08c6551bf77a045a1943ed4dfdd41a808a9a61f9d7f86cec37996ba2ca8b992a33ab35c0181b3f6da37823743c1eb9a23d517e78d987cb2b794a4cd86934bf951fe53e4a3fde9b9037915db6f3bf4e2a424fb31397db88230086b27e6ce317c6e3f5358f769b580c0e04bb9956814be8115bfb5c7d77af5ca2ef38dafabf7fae93b"
+        "q": {
+          "radix": 16,
+          "value": "e55cf08ade39016e2d70d4fc44d0c300818f0d31bed46982b89fb86df2f7018c2ae944cc1a2c95f60dbfeb097207f796d7c42d2819df3ed25bef18cfc4acb9eb211687a259c93576d17b89d803e9e3ea05732999ef0cc89464953a6f49fa1b2d2a028c571b1b3454647590945cac181417ca44dcf2d158cc292ed732935815691c6df0bc7b82cbae357c4d23f4c9ad74518acd143cbbff2dfb56d8c4294683c08597a823e5dedc28bc22b20da5ea42e36293486ab8e2e82aeab1f4296c2548cb"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
-          "035c7b3eb71850a3e5121f8cbe9f9886ba30d6c3bcfa3103dbbacd15747cafc447",
-          "02da9c9787803e530168cd9a50aeb4a21c0f57751a0574576b2c34907388db5a30",
-          "0216e221e02887857cd92088422519e165e6248045ffeb0a58f0dedf6b442872df"
+          "02cf4205a71bcaf7a5e9ca1f82e2c9b56c0ea6d3efb31bf88a41f15cf7726e361e",
+          "02e8a6daac9189ac37d5e4f5502a41b08403e38f2d7e962deba96a9b66cb323ac7",
+          "03deb24f375e7381954fd998f1111b7599dfb12830aff9985411928caef0567e0b"
         ],
-        "shared_public_key": "025d42269c40823210daf4c0c325564674a93394e4cb89349c63450567fa81052b",
+        "shared_public_key": "0245233d99187d6264a45a9d412aab0db39b7bb0acb982a313bbba2f1fc2432ee5",
         "vss_setup": {
           "I": [
             {
@@ -6079,54 +11983,105 @@
           ],
           "min_signers": 2
         },
-        "x": "13caf0c462613e1e516ca0f6e0c0c79d420e4c868189fbfcb0fb99a0c7fa114c"
+        "x": "8d7ba277ff4b4abca90e11ff64abae4a43fc9a40df49c5330686d7ec25f58b1d"
       }
     }
   ],
   "t=Some(2),n=5,curve=secp256k1": [
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "c33fc501df44fd27df67c8c4d0ebf98bb16e2d6f63e00f86cd901a4fade12e3e78083994235c9403d54dde9ca18769c472f446d2b9b471741708ab0c6f295f9be4d2254831c3ca2dad1cc82e67f57fc7ae22cacf2bd6b3e8f474824bb30a197520fde47afd35178e027fb44c1f7ac3f02644a99c05bbce38ab13c3c136848fab3970a54e50a649c391ed58fddc407e4af589ce43e589ddeaf1c0209d178c07759f4f86c24f210958c63f26b3b8f8e24cce212717bef546460e76d7958bdc0b97"
+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
-          "030e36ef07c63474fff3c5d32abd946f456430a7673c8ddc5d23bc51adf5c42431",
-          "0361053790cc4f50a1cd635730003bdaa61d4994f441dcb44b8c078525f7b694a9",
-          "03f0ead56ae8278eb89659cb02638d04280843b18eba51ca599578073117db8fa6",
-          "0296e400449573c4fecd0a6a272496f0e1d1b55ec8e13492e16c2ad13434024b30",
-          "03a7751a33b254805209c7da7e442143f81a6a82f0d182cdb5c38cdaae2bb64820"
+          "03b33722414a04eb4f15f826eae6949595e26e188152e128f3846504b32d7632d0",
+          "03034da5587cfab759d5c6b962a452f9fc47479334412c57dcf13f8aae36ccc298",
+          "03c2e1710433399310c192c75b6a16cb626e90e48a2b9d001609bf896cab1dee92",
+          "039c3221fc0af5650c1cf9a120ff814b63474f391c5e02327ede851430df5b6e92",
+          "02d1d93a2f0ff9beb8ac71a510c74ca27606d6bca248bbc4dd3bf383f89df9e606"
         ],
-        "shared_public_key": "03c1ffc65091c5d0b5ea13a02222574ff18f478e20924d9e04eae1f1811d3eb0e2",
+        "shared_public_key": "035ff4065b78b45ac585ae0ce16c52b1ccbb3d9590fafa0901dda0eb273cf89d87",
         "vss_setup": {
           "I": [
             {
@@ -6152,52 +12107,103 @@
           ],
           "min_signers": 2
         },
-        "x": "e4eed0e0155d3d68a3f59510de2b2aec685165fd44e163199fd1480d7f34372a"
+        "x": "8a90544397be4fcc502e4b5ca78db9f6e00803784414cd745aa91430f5fc1cf3"
       }
     },
     {
       "aux": {
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+        },
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+          "value": "a14ad774af2578b76db5dfc49f668e36c65d25e64a2e2f57b98c328d639a025ffd474c22e63966601aa8b0a2933e2c4995b0101c365c0dd286baddab249ef94d20a85c7905c751a4961b6308481304b73b56ced9a2fd87d1ad3cd80829c54b20d58aeee382cdebf16109ef0214aaf89551d7369e0b30edcb46f337315454c7541c46ec2e73ff7f6e203b9a8b6a9270bcba179246d330f81e0993396b55f4af4deffc647e998a5710951eea6295b57af1c71e495b59d871342acbbf0bba5f9afb"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
-          "030e36ef07c63474fff3c5d32abd946f456430a7673c8ddc5d23bc51adf5c42431",
-          "0361053790cc4f50a1cd635730003bdaa61d4994f441dcb44b8c078525f7b694a9",
-          "03f0ead56ae8278eb89659cb02638d04280843b18eba51ca599578073117db8fa6",
-          "0296e400449573c4fecd0a6a272496f0e1d1b55ec8e13492e16c2ad13434024b30",
-          "03a7751a33b254805209c7da7e442143f81a6a82f0d182cdb5c38cdaae2bb64820"
+          "03b33722414a04eb4f15f826eae6949595e26e188152e128f3846504b32d7632d0",
+          "03034da5587cfab759d5c6b962a452f9fc47479334412c57dcf13f8aae36ccc298",
+          "03c2e1710433399310c192c75b6a16cb626e90e48a2b9d001609bf896cab1dee92",
+          "039c3221fc0af5650c1cf9a120ff814b63474f391c5e02327ede851430df5b6e92",
+          "02d1d93a2f0ff9beb8ac71a510c74ca27606d6bca248bbc4dd3bf383f89df9e606"
         ],
-        "shared_public_key": "03c1ffc65091c5d0b5ea13a02222574ff18f478e20924d9e04eae1f1811d3eb0e2",
+        "shared_public_key": "035ff4065b78b45ac585ae0ce16c52b1ccbb3d9590fafa0901dda0eb273cf89d87",
         "vss_setup": {
           "I": [
             {
@@ -6223,52 +12229,103 @@
           ],
           "min_signers": 2
         },
-        "x": "476d27f6d890f4320a90b6dd73052c7c2d072f39dd8a795885c4b6eec120065b"
+        "x": "78a210948a990e01f72e59fa8099cca8e263eb1d2f651e84c0667e0fe3475196"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
-          "030e36ef07c63474fff3c5d32abd946f456430a7673c8ddc5d23bc51adf5c42431",
-          "0361053790cc4f50a1cd635730003bdaa61d4994f441dcb44b8c078525f7b694a9",
-          "03f0ead56ae8278eb89659cb02638d04280843b18eba51ca599578073117db8fa6",
-          "0296e400449573c4fecd0a6a272496f0e1d1b55ec8e13492e16c2ad13434024b30",
-          "03a7751a33b254805209c7da7e442143f81a6a82f0d182cdb5c38cdaae2bb64820"
+          "03b33722414a04eb4f15f826eae6949595e26e188152e128f3846504b32d7632d0",
+          "03034da5587cfab759d5c6b962a452f9fc47479334412c57dcf13f8aae36ccc298",
+          "03c2e1710433399310c192c75b6a16cb626e90e48a2b9d001609bf896cab1dee92",
+          "039c3221fc0af5650c1cf9a120ff814b63474f391c5e02327ede851430df5b6e92",
+          "02d1d93a2f0ff9beb8ac71a510c74ca27606d6bca248bbc4dd3bf383f89df9e606"
         ],
-        "shared_public_key": "03c1ffc65091c5d0b5ea13a02222574ff18f478e20924d9e04eae1f1811d3eb0e2",
+        "shared_public_key": "035ff4065b78b45ac585ae0ce16c52b1ccbb3d9590fafa0901dda0eb273cf89d87",
         "vss_setup": {
           "I": [
             {
@@ -6294,52 +12351,103 @@
           ],
           "min_signers": 2
         },
-        "x": "a9eb7f0d9bc4aafb712bd8aa07df2e0aac6bd55d257c2fd32b8a845cd34216cd"
+        "x": "66b3cce57d73cc379e2e689859a5df5ae4bfd2c21ab56f952623e7eed0928639"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
-          "030e36ef07c63474fff3c5d32abd946f456430a7673c8ddc5d23bc51adf5c42431",
-          "0361053790cc4f50a1cd635730003bdaa61d4994f441dcb44b8c078525f7b694a9",
-          "03f0ead56ae8278eb89659cb02638d04280843b18eba51ca599578073117db8fa6",
-          "0296e400449573c4fecd0a6a272496f0e1d1b55ec8e13492e16c2ad13434024b30",
-          "03a7751a33b254805209c7da7e442143f81a6a82f0d182cdb5c38cdaae2bb64820"
+          "03b33722414a04eb4f15f826eae6949595e26e188152e128f3846504b32d7632d0",
+          "03034da5587cfab759d5c6b962a452f9fc47479334412c57dcf13f8aae36ccc298",
+          "03c2e1710433399310c192c75b6a16cb626e90e48a2b9d001609bf896cab1dee92",
+          "039c3221fc0af5650c1cf9a120ff814b63474f391c5e02327ede851430df5b6e92",
+          "02d1d93a2f0ff9beb8ac71a510c74ca27606d6bca248bbc4dd3bf383f89df9e606"
         ],
-        "shared_public_key": "03c1ffc65091c5d0b5ea13a02222574ff18f478e20924d9e04eae1f1811d3eb0e2",
+        "shared_public_key": "035ff4065b78b45ac585ae0ce16c52b1ccbb3d9590fafa0901dda0eb273cf89d87",
         "vss_setup": {
           "I": [
             {
@@ -6365,52 +12473,103 @@
           ],
           "min_signers": 2
         },
-        "x": "0c69d6245ef861c4d7c6fa769cb92f9a71219e99be254612117df33e152de5fe"
+        "x": "54c58936704e8a6d452e773632b1f20ce71bba670605c0a58be151cdbdddbadc"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "a3eec1eaf1f4ecb41d3862d5564c98dbe960af0e65b71d0d4e8fb109af9fba72f3d46b1e58c813c65270affbf53ce00c75564335b10b9c4e5fea3eb9fa6aabc4a8e5a6ae6602df809e0c77865c486b94414e6805021717ffc9d51d475487e87e46c34b18de4597189a153a5f01145f16c857fb0820cdf33722698e9c73d02558be05546ebb09a85f1a7f81c603eda78e5b103d495810f7a4c4e814e1791e1de49cdf6cddd85267b7ed3edd68e5799b44250a44022dd3cf59e16d3075ff13bfa3"
+        },
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+            }
           }
         ],
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+        "q": {
+          "radix": 16,
+          "value": "eacb55067b440e220f8e02767e81b88bc348ccdfedba222e5e03491c5b413eba4e0dbd381a433a4316aa20d4e1bdace52dcc75850b00cdb2ee3c96b7c8ded25bd0c92f459536a227d23a070f11066aa7451f49d04636ef5eb454da6865fe3ba18efd5216a53603501162f075fd5bb8ba5c12ec82ab794c5e41b9b53ba7f3251ad378d204820946e10a05203ee80664e5af20e3e325cb24e7c2dff956a6d7dda54a320e2725e35ac7f9002faa470e7aaa2004cce37404c18fd5f9fad88e490edf"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
-          "030e36ef07c63474fff3c5d32abd946f456430a7673c8ddc5d23bc51adf5c42431",
-          "0361053790cc4f50a1cd635730003bdaa61d4994f441dcb44b8c078525f7b694a9",
-          "03f0ead56ae8278eb89659cb02638d04280843b18eba51ca599578073117db8fa6",
-          "0296e400449573c4fecd0a6a272496f0e1d1b55ec8e13492e16c2ad13434024b30",
-          "03a7751a33b254805209c7da7e442143f81a6a82f0d182cdb5c38cdaae2bb64820"
+          "03b33722414a04eb4f15f826eae6949595e26e188152e128f3846504b32d7632d0",
+          "03034da5587cfab759d5c6b962a452f9fc47479334412c57dcf13f8aae36ccc298",
+          "03c2e1710433399310c192c75b6a16cb626e90e48a2b9d001609bf896cab1dee92",
+          "039c3221fc0af5650c1cf9a120ff814b63474f391c5e02327ede851430df5b6e92",
+          "02d1d93a2f0ff9beb8ac71a510c74ca27606d6bca248bbc4dd3bf383f89df9e606"
         ],
-        "shared_public_key": "03c1ffc65091c5d0b5ea13a02222574ff18f478e20924d9e04eae1f1811d3eb0e2",
+        "shared_public_key": "035ff4065b78b45ac585ae0ce16c52b1ccbb3d9590fafa0901dda0eb273cf89d87",
         "vss_setup": {
           "I": [
             {
@@ -6436,54 +12595,105 @@
           ],
           "min_signers": 2
         },
-        "x": "6ee82d3b222c188e3e621c4331933128f08644bd0616fc8cb743c0ac274ff670"
+        "x": "42d74587632948a2ec2e85d40bbe04bee977a20bf15611b5f19ebbacab28ef7f"
       }
     }
   ],
   "t=Some(2),n=5,curve=secp256r1": [
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "a2b1822be0f67f0a44c7f91db4383849fb4fa5717dc9cdd2c35ebe9f3fd09d91a5c1ac8b522e92700d52d6426ddc237852290c7d841c54f01f69104b5a915b1cf44d184022a13d3bd761590f97b3f066b8e92a13382ba3156800787d3321248cc131f59a19ad7fe7c7bd57295caa2be29d5e88048b91d542171fe415fde387c382141dd643a946a62d7982e60fc2d399e8016daca7a44f9960a73e0ae1ea29f608d88a6264491bc70b773d9c990e22823bb2445c57170e96fee134db3215cbf3"
+        },
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         ],
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+        "q": {
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+          "value": "e9676b3fbea5a1b7e68dda26c285b0c767c85b2cd35992d7266ab86fa1dd341cb52ac03e0f3a565ccd89e0eca1ef19aa26886d303cbda1841da1414a6b577cdb0befe096a5ed8318f3d109144fcf1b371ae89d00fdd224fa296b7fb53c3c4cc43eefa17e4d13787c9b71e72cb771183ed0605d5a7e012c8e23514fdc7c1573bc7df72eb370a41968311e2ac04341a012d4e2b473ccab1969ee7d93bf96f9b2e2057f3d9e9f0e767b9ea00e0700071e7f42ea117617fe0befca3c85d38d047ce7"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
-          "023dd8340d65edb61640af6d4a5e74d4b673abf853a5753367d721d8820f1997d3",
-          "037e614286acf88f4c8bdbbffb3e85d17c64e86fdc39ab542ab076d6268f9e8644",
-          "02254456749e0e34959c3b6b1897b8afa8ac4c27384315b9a73a27a4053d4883ad",
-          "02762613ec069a9318544f2bd6fd6bbe90f53ebf8cb53ee842d43d3cab5a1be23d",
-          "02c51f0735315db6f550c94a551eeb7b6c603fe30cdbcca352ef3b63dd01f419de"
+          "03251eb1bec050886ac82d3e630eb469932ab81078fca60816a6dc1f97c835539c",
+          "03f02618a371c90f91e68ba23456c049cc7cac201873e0dbd82eb6c1b5aaaf2423",
+          "02102a3a59f3b0f0ba69da67930d684dc5d52c08b2ad4ac317a7b3f8fb8afb9f04",
+          "02f811d27a705e3c97846b2d67012a98ac7bc63f7685ec2b41c65f3aca1b4eda2b",
+          "028504662f88d4483fdf2fa01307a0856275c7a8634ffbb89c5241ed547fcd4f16"
         ],
-        "shared_public_key": "0306743f24815078422b34ac2a99214491093963263364042dee5ee1e2045771b8",
+        "shared_public_key": "0372d8069552cbb21a89675d21a0451e53ec08d385c66704f8a8cab5dbf0cf9e41",
         "vss_setup": {
           "I": [
             {
@@ -6509,52 +12719,103 @@
           ],
           "min_signers": 2
         },
-        "x": "e0301e21aecef60bee11fcc9d59af94f846a2f7a1a6fe72f25bc7ac85dc64f0d"
+        "x": "b701e2027ab77a034e9ca1ca6b55302b856b659894988da6b000fca7419c4f8b"
       }
     },
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       "core": {
         "curve": "secp256r1",
         "i": 1,
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+          "028504662f88d4483fdf2fa01307a0856275c7a8634ffbb89c5241ed547fcd4f16"
         ],
-        "shared_public_key": "0306743f24815078422b34ac2a99214491093963263364042dee5ee1e2045771b8",
+        "shared_public_key": "0372d8069552cbb21a89675d21a0451e53ec08d385c66704f8a8cab5dbf0cf9e41",
         "vss_setup": {
           "I": [
             {
@@ -6580,52 +12841,103 @@
           ],
           "min_signers": 2
         },
-        "x": "a0f6b26db9ca742ac6134e1b374b7bed059c55b59a042c180e5f787c90578081"
+        "x": "7f7ecc9c640d4d1e754b51b64e3d6dfa716da5553d3c66ccde95d4186f01d433"
       }
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     {
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       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
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         ],
-        "shared_public_key": "0306743f24815078422b34ac2a99214491093963263364042dee5ee1e2045771b8",
+        "shared_public_key": "0372d8069552cbb21a89675d21a0451e53ec08d385c66704f8a8cab5dbf0cf9e41",
         "vss_setup": {
           "I": [
             {
@@ -6651,52 +12963,103 @@
           ],
           "min_signers": 2
         },
-        "x": "61bd46b9c4c5f2499e149f6c98fbfe8a86ce7bf119987100f7027630c2e8b1f5"
+        "x": "47fbb7364d6320399bfa01a23125abc95d6fe511e5e03ff30d2aab899c6758db"
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       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
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-        "shared_public_key": "0306743f24815078422b34ac2a99214491093963263364042dee5ee1e2045771b8",
+        "shared_public_key": "0372d8069552cbb21a89675d21a0451e53ec08d385c66704f8a8cab5dbf0cf9e41",
         "vss_setup": {
           "I": [
             {
@@ -6722,52 +13085,103 @@
           ],
           "min_signers": 2
         },
-        "x": "2283db05cfc170687615f0bdfaac81280800a22c992cb5e9dfa573e4f579e369"
+        "x": "1078a1d036b8f354c2a8b18e140de998497224ce8e8419193bbf82fac9ccdd83"
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       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
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-        "shared_public_key": "0306743f24815078422b34ac2a99214491093963263364042dee5ee1e2045771b8",
+        "shared_public_key": "0372d8069552cbb21a89675d21a0451e53ec08d385c66704f8a8cab5dbf0cf9e41",
         "vss_setup": {
           "I": [
             {
@@ -6793,66 +13207,135 @@
           ],
           "min_signers": 2
         },
-        "x": "e34a6f50dabcee884e17420f5c5d03c54619c315bfd89957bc023c5c246e3a2e"
+        "x": "d8f58c69200ec670e9576179f6f62766f25b5f38de3f90c45e0e252ef395877c"
       }
     }
   ],
   "t=Some(2),n=7,curve=secp256k1": [
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       "aux": {
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+            }
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         ],
-        "q": "c4c0e4c65ebb10207d81e784e550b69dcf2895085bd97fcf5fc0cecc986f615801463824826ea33ecfba461a58be82593b52cb41f239727653555d3d2d355e996284a592767fe741ef43c45c332234959945f4634a7e17b66968d7637a80f3d7aee4fbb30acb03cf57b4d5bb2fac37356126a441a3c25453da97b69520cbecb2da0edb93e385f1e2224677b0900ea8238f1007dbafea0df4d55f104115f9ceab8d8fdffcb56a9f633eef1263b7f11a998c2d5f091ef009fbbef4755fad2ffc5b"
+        "q": {
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+          "value": "8807f76a1d533b6fe6338e9eb6e49afb09128bb70caf710ca76f855f195b2be5b9ec22f4a07b02382be67c5591b2dc462a5180fc2e93a7bf5f8c5167d11f8987a242c23ca3be0bc42b3d77fd350c4d1cd8140c0c3fa7b66721aeb9fc902c2d80b19a37d0337b77f68a988c5ae1ad423a5117b09c6aa7d16ffbbbd8705b1d41cbf97f047676c9ea97fd9e542c0cf63da45882922bb3ee6a2d7cf2b11dcf91869f8c5f1c6e3963e66ae60638c7b832cb7e6e546aee9243c71c4c0e41d821d025af"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
-          "03264cebdb47ae430b5f3a22c5e6a7ab3f2fb54ec33b03f895283586bc354ebc29",
-          "0297596f4149724d1b8da18d4691311a84805d55ef10ae017a65c456fd4a01a73a",
-          "02b37c8ce25ec87392e25b1656c527e9471b35ae6c90b650d49dc153b4c980f096",
-          "0224007186390a98086a36db6bc7fd588093e991f57bbfb3d1aeea9379e4f75f11",
-          "020e07ad66173326f0103484d3658c963e670bd1c58a459f7273646e605ffbf01c",
-          "03d78512f338d5c2653ecd70ee4c2df9a7a3f014185a7e61ece96f1db186081839",
-          "03683d130f478b9882a6fb04994cd986d71e924cabd34cdf854dab4bffeaa145f8"
-        ],
-        "shared_public_key": "0201284dc31b8c104b1dcdac90e0234c75588a255b942264d3b8077ababa3430cb",
+          "03ead789b022eb1e91b0507608b52f7bff1308fbdd4969881bcf39ca40c6c57e4d",
+          "020fefd19f21f75ee4f58275d06d78dec4c367b477258a6aab22b08172e4cc0ad1",
+          "03d326b610c5672d5734a59e85b79b17259e52542071c88da27d1955806ddfe26e",
+          "03ed44cc69ac0cc209ea0e6f0a1c5a503a827bd9e6d3453617e4659d2f7261d762",
+          "03401c98a2742064038ca4f5f8965211fcdc309de113792480a83667cb53f5cae8",
+          "02592b4531ac1c6c593408a00b8153d8d5c5dc518b832579e5f340fafab8e40fd9",
+          "02da38e67ba06bfe923fbcb861951a60605b8fc06c764aed3ed30535029448c600"
+        ],
+        "shared_public_key": "034c45febda726ca2d0da3b104547a8e924182c1d43bf8d09f248868d23c7bfa6b",
         "vss_setup": {
           "I": [
             {
@@ -6886,64 +13369,133 @@
           ],
           "min_signers": 2
         },
-        "x": "8427cef5ff565389e42c6c5d94ba2e012634ba46c74993a0777dedd635d1a38f"
+        "x": "54321f9847a8d2b5305cf9975615d291042abdc840ee701eed35339eb5f2ed9e"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "a7bd9f8ce76af72c90c6d34bc6836ad4b118676ee8738a4211acdaa8f9592bdb52a4e5a9fd4c19faa1a91c759a15b46d01b206cc9c555bd805a4f7d33ec3fa5fc9651d58d70b7b0c02faa4b720e6696b80d4d739db351bc9ee9b252230c99e99530d96a77ee9e8ec7bb25426dac278b278b4003a91a8cba440fe285253ade3334fd1fe49141c2aa45472625fbd457f3dcf44dcd4855361bc8aa4310db83fd375d9fd63c83185067dc9e95fc92cf8fc34fef8dd7adcc902f55eca5719bfafa57b"
+        },
         "parties": [
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
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-          "0297596f4149724d1b8da18d4691311a84805d55ef10ae017a65c456fd4a01a73a",
-          "02b37c8ce25ec87392e25b1656c527e9471b35ae6c90b650d49dc153b4c980f096",
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-          "020e07ad66173326f0103484d3658c963e670bd1c58a459f7273646e605ffbf01c",
-          "03d78512f338d5c2653ecd70ee4c2df9a7a3f014185a7e61ece96f1db186081839",
-          "03683d130f478b9882a6fb04994cd986d71e924cabd34cdf854dab4bffeaa145f8"
-        ],
-        "shared_public_key": "0201284dc31b8c104b1dcdac90e0234c75588a255b942264d3b8077ababa3430cb",
+          "03ead789b022eb1e91b0507608b52f7bff1308fbdd4969881bcf39ca40c6c57e4d",
+          "020fefd19f21f75ee4f58275d06d78dec4c367b477258a6aab22b08172e4cc0ad1",
+          "03d326b610c5672d5734a59e85b79b17259e52542071c88da27d1955806ddfe26e",
+          "03ed44cc69ac0cc209ea0e6f0a1c5a503a827bd9e6d3453617e4659d2f7261d762",
+          "03401c98a2742064038ca4f5f8965211fcdc309de113792480a83667cb53f5cae8",
+          "02592b4531ac1c6c593408a00b8153d8d5c5dc518b832579e5f340fafab8e40fd9",
+          "02da38e67ba06bfe923fbcb861951a60605b8fc06c764aed3ed30535029448c600"
+        ],
+        "shared_public_key": "034c45febda726ca2d0da3b104547a8e924182c1d43bf8d09f248868d23c7bfa6b",
         "vss_setup": {
           "I": [
             {
@@ -6977,64 +13529,133 @@
           ],
           "min_signers": 2
         },
-        "x": "0179042743dc2cc79ffca6c200de8894acb53d1ae1761c06072389053838b3a2"
+        "x": "dedba1f98260dcbdf40697a08f099b5f20e8eaae7d5dee2787f35a4bed0d72bd"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
           {
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+            }
           }
         ],
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+        "q": {
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+          "value": "d52aad7ea60ad93ca5e3f7ebfb62b023b86d766da5dd3c19e648c5ddb70cdd7137ae3cd2aa4fe54b2ce1fa09109962f1925acc8930c370a525fffb96b0cec5961ac5ab81be218fb02890a3bde6cecd11278ee48c0f0f7bd9932b75573f66c19f85d3b0132756d87caefa6996be8f1f6435dfe3a1f9c5ba7cf61bc089e4b1bac29e53e2b0c490d851df12075cdbd02d9f00b4a262aba5a191e322817679c2fc2a64b2f47b5ad568767633797be892bcd545e937e9cd73d00208c4c8dce2529d1b"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
-          "03264cebdb47ae430b5f3a22c5e6a7ab3f2fb54ec33b03f895283586bc354ebc29",
-          "0297596f4149724d1b8da18d4691311a84805d55ef10ae017a65c456fd4a01a73a",
-          "02b37c8ce25ec87392e25b1656c527e9471b35ae6c90b650d49dc153b4c980f096",
-          "0224007186390a98086a36db6bc7fd588093e991f57bbfb3d1aeea9379e4f75f11",
-          "020e07ad66173326f0103484d3658c963e670bd1c58a459f7273646e605ffbf01c",
-          "03d78512f338d5c2653ecd70ee4c2df9a7a3f014185a7e61ece96f1db186081839",
-          "03683d130f478b9882a6fb04994cd986d71e924cabd34cdf854dab4bffeaa145f8"
-        ],
-        "shared_public_key": "0201284dc31b8c104b1dcdac90e0234c75588a255b942264d3b8077ababa3430cb",
+          "03ead789b022eb1e91b0507608b52f7bff1308fbdd4969881bcf39ca40c6c57e4d",
+          "020fefd19f21f75ee4f58275d06d78dec4c367b477258a6aab22b08172e4cc0ad1",
+          "03d326b610c5672d5734a59e85b79b17259e52542071c88da27d1955806ddfe26e",
+          "03ed44cc69ac0cc209ea0e6f0a1c5a503a827bd9e6d3453617e4659d2f7261d762",
+          "03401c98a2742064038ca4f5f8965211fcdc309de113792480a83667cb53f5cae8",
+          "02592b4531ac1c6c593408a00b8153d8d5c5dc518b832579e5f340fafab8e40fd9",
+          "02da38e67ba06bfe923fbcb861951a60605b8fc06c764aed3ed30535029448c600"
+        ],
+        "shared_public_key": "034c45febda726ca2d0da3b104547a8e924182c1d43bf8d09f248868d23c7bfa6b",
         "vss_setup": {
           "I": [
             {
@@ -7068,64 +13689,133 @@
           ],
           "min_signers": 2
         },
-        "x": "7eca3958886206055bcce1266d02e326ede49cd5aaeb44a7569b82c10ad604f6"
+        "x": "6985245abd18e6c6b7b035a9c7fd642e82f83aae0a84cbf462df226c53f1b69b"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+            },
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
-          "03264cebdb47ae430b5f3a22c5e6a7ab3f2fb54ec33b03f895283586bc354ebc29",
-          "0297596f4149724d1b8da18d4691311a84805d55ef10ae017a65c456fd4a01a73a",
-          "02b37c8ce25ec87392e25b1656c527e9471b35ae6c90b650d49dc153b4c980f096",
-          "0224007186390a98086a36db6bc7fd588093e991f57bbfb3d1aeea9379e4f75f11",
-          "020e07ad66173326f0103484d3658c963e670bd1c58a459f7273646e605ffbf01c",
-          "03d78512f338d5c2653ecd70ee4c2df9a7a3f014185a7e61ece96f1db186081839",
-          "03683d130f478b9882a6fb04994cd986d71e924cabd34cdf854dab4bffeaa145f8"
-        ],
-        "shared_public_key": "0201284dc31b8c104b1dcdac90e0234c75588a255b942264d3b8077ababa3430cb",
+          "03ead789b022eb1e91b0507608b52f7bff1308fbdd4969881bcf39ca40c6c57e4d",
+          "020fefd19f21f75ee4f58275d06d78dec4c367b477258a6aab22b08172e4cc0ad1",
+          "03d326b610c5672d5734a59e85b79b17259e52542071c88da27d1955806ddfe26e",
+          "03ed44cc69ac0cc209ea0e6f0a1c5a503a827bd9e6d3453617e4659d2f7261d762",
+          "03401c98a2742064038ca4f5f8965211fcdc309de113792480a83667cb53f5cae8",
+          "02592b4531ac1c6c593408a00b8153d8d5c5dc518b832579e5f340fafab8e40fd9",
+          "02da38e67ba06bfe923fbcb861951a60605b8fc06c764aed3ed30535029448c600"
+        ],
+        "shared_public_key": "034c45febda726ca2d0da3b104547a8e924182c1d43bf8d09f248868d23c7bfa6b",
         "vss_setup": {
           "I": [
             {
@@ -7159,64 +13849,133 @@
           ],
           "min_signers": 2
         },
-        "x": "fc1b6e89cce7df43179d1b8ad9273db92f13fc9074606d48a6137c7cdd73564a"
+        "x": "f42ea6bbf7d0f0cf7b59d3b300f12cfc9fb6679446f449fcfd9d49198b0c3bba"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
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-        "shared_public_key": "0201284dc31b8c104b1dcdac90e0234c75588a255b942264d3b8077ababa3430cb",
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+          "03d326b610c5672d5734a59e85b79b17259e52542071c88da27d1955806ddfe26e",
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+          "02da38e67ba06bfe923fbcb861951a60605b8fc06c764aed3ed30535029448c600"
+        ],
+        "shared_public_key": "034c45febda726ca2d0da3b104547a8e924182c1d43bf8d09f248868d23c7bfa6b",
         "vss_setup": {
           "I": [
             {
@@ -7250,64 +14009,133 @@
           ],
           "min_signers": 2
         },
-        "x": "796ca3bb116db880d36d55ef454b984cb5947f648e8cf5ae35b917abdfda665d"
+        "x": "7ed8291d3288fad83f0371bc39e4f5cc01c5b793d41b27c9d8891139f1f07f98"
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+            }
           }
         ],
-        "q": "dc8cfa529704b551593a07c8c74d91d0f1cd1d94fbaf1f8588e7acb009eaea5f215f1cc0713ea6ba9a4e34c4ba623a51c6f0e6742dcd51ffe8869355fba72b7940937634207a808846063172054ef157ff93ed43aa2b2ef361cc715681c3b8e36918f4bcf57542db97bd9a4419bc3605d5ca2a5d7ba4c87971ee41ddfed1289116e6552beadcdc6161c295847b08891f308464ad829509e5b1c85c2efe15129ba1885b8515fe450f8b36963ad7abf9c28cd1e573050428590c9dc0955bc444db"
+        "q": {
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+          "value": "d04d5e23809960c800142b155394c3c69b90e0d0fa4ec90ec0628fb471f376989203795031e619393e142d075c9d1aeef10dd0e48f7945ff6966f2c506c6bdd97f4b1d2b2d2f2ac7137700f4940bedaa2d00353947df2f49230d25d3d2c06891afc6a5cbf100be6a5abdfb27a23865fc4488fb664cb8c68bf148379953c8b12b8c3cdf44384d70f283fbb73eb3f130495d3857fb588bd5468ec89bf459d9be98011b6983c41ef639e94ffc2936ccbc2a80fac389b19db35a529aa47e000580a7"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 5,
         "public_shares": [
-          "03264cebdb47ae430b5f3a22c5e6a7ab3f2fb54ec33b03f895283586bc354ebc29",
-          "0297596f4149724d1b8da18d4691311a84805d55ef10ae017a65c456fd4a01a73a",
-          "02b37c8ce25ec87392e25b1656c527e9471b35ae6c90b650d49dc153b4c980f096",
-          "0224007186390a98086a36db6bc7fd588093e991f57bbfb3d1aeea9379e4f75f11",
-          "020e07ad66173326f0103484d3658c963e670bd1c58a459f7273646e605ffbf01c",
-          "03d78512f338d5c2653ecd70ee4c2df9a7a3f014185a7e61ece96f1db186081839",
-          "03683d130f478b9882a6fb04994cd986d71e924cabd34cdf854dab4bffeaa145f8"
-        ],
-        "shared_public_key": "0201284dc31b8c104b1dcdac90e0234c75588a255b942264d3b8077ababa3430cb",
+          "03ead789b022eb1e91b0507608b52f7bff1308fbdd4969881bcf39ca40c6c57e4d",
+          "020fefd19f21f75ee4f58275d06d78dec4c367b477258a6aab22b08172e4cc0ad1",
+          "03d326b610c5672d5734a59e85b79b17259e52542071c88da27d1955806ddfe26e",
+          "03ed44cc69ac0cc209ea0e6f0a1c5a503a827bd9e6d3453617e4659d2f7261d762",
+          "03401c98a2742064038ca4f5f8965211fcdc309de113792480a83667cb53f5cae8",
+          "02592b4531ac1c6c593408a00b8153d8d5c5dc518b832579e5f340fafab8e40fd9",
+          "02da38e67ba06bfe923fbcb861951a60605b8fc06c764aed3ed30535029448c600"
+        ],
+        "shared_public_key": "034c45febda726ca2d0da3b104547a8e924182c1d43bf8d09f248868d23c7bfa6b",
         "vss_setup": {
           "I": [
             {
@@ -7341,64 +14169,133 @@
           ],
           "min_signers": 2
         },
-        "x": "f6bdd8ec55f391be8f3d9053b16ff2def6c3df1f58021e4f85311167b277b7b1"
+        "x": "0981ab7e6d4104e102ad0fc572d8be9b63d5079361420596b374d95a58d4c376"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "eb5702a913fdfb39f6f042b58b7682adce78a62053615341166ecc04a657ef558e53d6f1e8069e468336284b65e6bd9415d15d47f9b2e634566c3cac71f07395aa95469775c024d1b65257cecceb3e82e691d5968d8de62f21690bcc01539880da0bd929fdda68681555ece163d11b87294fbe915ded020e427d9c5d863d0cbd4d9545430f7f12c479bfeb91b8e89abed092362c7ff2e1787679496e293c994e79771660bebcbab98f43c233f3f27aee828d0f9beb647d00fac1675815230a17"
+        },
         "parties": [
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+            },
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+            }
           }
         ],
-        "q": "a773163bd080f0a3d07f2a587dc0254eb8599cc4a41451d644f83fc5669232f0eeba713a97f9352a7e2de649d5554f4193779d2d339541e856c4f6eaaa00115ab6d8402a1166cb16251843b1ed20f8ff0f7008b3ab56fbb48e5904f53f5c697026a5fa57ac3367f759086c8fea59beb4a6d50146c2bb0c9005d1052fa4a42662a6ee3c9eddb6409579c21cf53fc164165c39227e271e35b64d24392f9e7700a6a8ae0accd9e169d90e256cbdb1b7bb51b74ea1598d0620b79ebe785fccc49b1f"
+        "q": {
+          "radix": 16,
+          "value": "d4bf9593686d6a918d757542e6d83b1c695bbd6091d9f3adb3a1447c1c50ee47b96d4f3592396942e874870bc97bc88e5dc670106a669831f8111762d1e4d58ad42a78178b21a47622fad0d1b9e16a3289dbe836d518c0f0e040b5f5e121112649913f65a6039694013bb110bfec003aa53c84e3b274ae7baab9fa69f0fa493fe6a1088a3af1fc37500270273c023e9aaf7fb1cde9c1baef13214e221d8314263b585ea1438a9b0c3430f5e526233b7022522dac584d9c84456329cfae49503b"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 6,
         "public_shares": [
-          "03264cebdb47ae430b5f3a22c5e6a7ab3f2fb54ec33b03f895283586bc354ebc29",
-          "0297596f4149724d1b8da18d4691311a84805d55ef10ae017a65c456fd4a01a73a",
-          "02b37c8ce25ec87392e25b1656c527e9471b35ae6c90b650d49dc153b4c980f096",
-          "0224007186390a98086a36db6bc7fd588093e991f57bbfb3d1aeea9379e4f75f11",
-          "020e07ad66173326f0103484d3658c963e670bd1c58a459f7273646e605ffbf01c",
-          "03d78512f338d5c2653ecd70ee4c2df9a7a3f014185a7e61ece96f1db186081839",
-          "03683d130f478b9882a6fb04994cd986d71e924cabd34cdf854dab4bffeaa145f8"
-        ],
-        "shared_public_key": "0201284dc31b8c104b1dcdac90e0234c75588a255b942264d3b8077ababa3430cb",
+          "03ead789b022eb1e91b0507608b52f7bff1308fbdd4969881bcf39ca40c6c57e4d",
+          "020fefd19f21f75ee4f58275d06d78dec4c367b477258a6aab22b08172e4cc0ad1",
+          "03d326b610c5672d5734a59e85b79b17259e52542071c88da27d1955806ddfe26e",
+          "03ed44cc69ac0cc209ea0e6f0a1c5a503a827bd9e6d3453617e4659d2f7261d762",
+          "03401c98a2742064038ca4f5f8965211fcdc309de113792480a83667cb53f5cae8",
+          "02592b4531ac1c6c593408a00b8153d8d5c5dc518b832579e5f340fafab8e40fd9",
+          "02da38e67ba06bfe923fbcb861951a60605b8fc06c764aed3ed30535029448c600"
+        ],
+        "shared_public_key": "034c45febda726ca2d0da3b104547a8e924182c1d43bf8d09f248868d23c7bfa6b",
         "vss_setup": {
           "I": [
             {
@@ -7432,66 +14329,135 @@
           ],
           "min_signers": 2
         },
-        "x": "740f0e1d9a796afc4b0dcab81d944d727d4461f3722ea6b514d6ac96b4dec7c4"
+        "x": "942b2ddfa7f90ee9c656adceabcc8769809334799db1839f4e3300078fef4895"
       }
     }
   ],
   "t=Some(2),n=7,curve=secp256r1": [
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "e2a029b190b89e0d1497460822ff873dc421b528f4708755ff7fcabdff1bb87bc4d005922668d13076e202b1ab0c25442508a2082bbcc7fa53526d13f8f29652b77d1802d5f30f6344488e3fe7130cf653420e1915ee5bb6f35f158ab4d20a9f02204b753a6bffa9be9c542832a90ad06b43e3649c16bab12d059621f478e627389d2ee35875322c3130da2bd5db6c93237f37ab30135c63a590f7cfc7e1277178eb36ed1647d1ac17c598e5812c01ffd07c418fa339667fd109eea75ea18c7f"
+        },
         "parties": [
           {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
-          "02fb6bc45c77aaf686813a13c7044e491106b2f74f034e73959b86faa12513f033",
-          "0368e8ba2e336f161365a13714b4ca8347797fb2fc091e8082c2423e9e63c5d970",
-          "029b1d52b55b124bb20527483abef4d1afda81317ea9f583e026d8753155bf2c91",
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-          "03a979cd8241107530623f8dc0bed9a62f538b75722068f65900f9b37eac0fa989",
-          "033e1264a121a9ddd324a5a5c9432def9520962858cee302b7ba962cb919e50b6a",
-          "03ca69fca6c569e850c9923fa3dc7578e88497cfe4052c69ae2de056304b27a875"
-        ],
-        "shared_public_key": "037e62d61bfbb2961cf9547c4ea777c9cf32f72b37db276feb3d5f3fc71c1bb984",
+          "028b42c3b86116f7aaec76a965538d6ebc630d6f97814f5e6d93bafb5e58099aa7",
+          "02892e68f32d850a4c3a620be26ca58a351ebc174b7fecf0d6278b25ff54445e92",
+          "02b8bf009ff80d3c2ac287d3a308ac866f9696de5285723a066155359b9e16e622",
+          "03f8676e7b413a891a49be01f87c48eb21ccf9d8186b82e8aa68db2541b8123aa2",
+          "028a8bbbda6b37409276caea215d5a16a76efd3392bba016a4e1a1d7323c9759aa",
+          "02c7d11ebad530b269c3960b3426ddc8ded73faa3f83cc56ca9884ebdf15df929d",
+          "021e9cf28a9f099915165a597cad8a6d8d72bfeac4937597572b50bd0045d32135"
+        ],
+        "shared_public_key": "02c14e8ec2b61e81f39639ede6722784bd0809e4c61be44a577f2a3c38c9d4c4fd",
         "vss_setup": {
           "I": [
             {
@@ -7525,64 +14491,133 @@
           ],
           "min_signers": 2
         },
-        "x": "ce737ddadb0947e58e7c168eecfaf329c903f8a8da4559efecb305593db77665"
+        "x": "9afeedd4b61ad4ca4e4f494edf3c3a8006edb6e3983e94cb78c695b18f142f19"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
-          "02fb6bc45c77aaf686813a13c7044e491106b2f74f034e73959b86faa12513f033",
-          "0368e8ba2e336f161365a13714b4ca8347797fb2fc091e8082c2423e9e63c5d970",
-          "029b1d52b55b124bb20527483abef4d1afda81317ea9f583e026d8753155bf2c91",
-          "03a40974a66c7a29c1cc8b65beea885bfbf5d7fdd50576e39fa73506d798541f16",
-          "03a979cd8241107530623f8dc0bed9a62f538b75722068f65900f9b37eac0fa989",
-          "033e1264a121a9ddd324a5a5c9432def9520962858cee302b7ba962cb919e50b6a",
-          "03ca69fca6c569e850c9923fa3dc7578e88497cfe4052c69ae2de056304b27a875"
-        ],
-        "shared_public_key": "037e62d61bfbb2961cf9547c4ea777c9cf32f72b37db276feb3d5f3fc71c1bb984",
+          "028b42c3b86116f7aaec76a965538d6ebc630d6f97814f5e6d93bafb5e58099aa7",
+          "02892e68f32d850a4c3a620be26ca58a351ebc174b7fecf0d6278b25ff54445e92",
+          "02b8bf009ff80d3c2ac287d3a308ac866f9696de5285723a066155359b9e16e622",
+          "03f8676e7b413a891a49be01f87c48eb21ccf9d8186b82e8aa68db2541b8123aa2",
+          "028a8bbbda6b37409276caea215d5a16a76efd3392bba016a4e1a1d7323c9759aa",
+          "02c7d11ebad530b269c3960b3426ddc8ded73faa3f83cc56ca9884ebdf15df929d",
+          "021e9cf28a9f099915165a597cad8a6d8d72bfeac4937597572b50bd0045d32135"
+        ],
+        "shared_public_key": "02c14e8ec2b61e81f39639ede6722784bd0809e4c61be44a577f2a3c38c9d4c4fd",
         "vss_setup": {
           "I": [
             {
@@ -7616,64 +14651,133 @@
           ],
           "min_signers": 2
         },
-        "x": "aa0ed6005942876c6441f8bbcf7f472cb5c98b010bfd3e60fc5f944124733723"
+        "x": "27054cea6fc004c593a6524d0b389da823c04a74ee5bcea62581e1591acad673"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
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-        ],
-        "shared_public_key": "037e62d61bfbb2961cf9547c4ea777c9cf32f72b37db276feb3d5f3fc71c1bb984",
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+          "02892e68f32d850a4c3a620be26ca58a351ebc174b7fecf0d6278b25ff54445e92",
+          "02b8bf009ff80d3c2ac287d3a308ac866f9696de5285723a066155359b9e16e622",
+          "03f8676e7b413a891a49be01f87c48eb21ccf9d8186b82e8aa68db2541b8123aa2",
+          "028a8bbbda6b37409276caea215d5a16a76efd3392bba016a4e1a1d7323c9759aa",
+          "02c7d11ebad530b269c3960b3426ddc8ded73faa3f83cc56ca9884ebdf15df929d",
+          "021e9cf28a9f099915165a597cad8a6d8d72bfeac4937597572b50bd0045d32135"
+        ],
+        "shared_public_key": "02c14e8ec2b61e81f39639ede6722784bd0809e4c61be44a577f2a3c38c9d4c4fd",
         "vss_setup": {
           "I": [
             {
@@ -7707,64 +14811,133 @@
           ],
           "min_signers": 2
         },
-        "x": "85aa2e25d77bc6f33a07dae8b2039b2fa28f1d593db522d20c0c23290b2ef7e1"
+        "x": "b30babff296534c1d8fd5b4b373500cffd79d8b3eb90a705c5f6f7c3a2e4a31e"
       }
     },
     {
       "aux": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
-          "02fb6bc45c77aaf686813a13c7044e491106b2f74f034e73959b86faa12513f033",
-          "0368e8ba2e336f161365a13714b4ca8347797fb2fc091e8082c2423e9e63c5d970",
-          "029b1d52b55b124bb20527483abef4d1afda81317ea9f583e026d8753155bf2c91",
-          "03a40974a66c7a29c1cc8b65beea885bfbf5d7fdd50576e39fa73506d798541f16",
-          "03a979cd8241107530623f8dc0bed9a62f538b75722068f65900f9b37eac0fa989",
-          "033e1264a121a9ddd324a5a5c9432def9520962858cee302b7ba962cb919e50b6a",
-          "03ca69fca6c569e850c9923fa3dc7578e88497cfe4052c69ae2de056304b27a875"
-        ],
-        "shared_public_key": "037e62d61bfbb2961cf9547c4ea777c9cf32f72b37db276feb3d5f3fc71c1bb984",
+          "028b42c3b86116f7aaec76a965538d6ebc630d6f97814f5e6d93bafb5e58099aa7",
+          "02892e68f32d850a4c3a620be26ca58a351ebc174b7fecf0d6278b25ff54445e92",
+          "02b8bf009ff80d3c2ac287d3a308ac866f9696de5285723a066155359b9e16e622",
+          "03f8676e7b413a891a49be01f87c48eb21ccf9d8186b82e8aa68db2541b8123aa2",
+          "028a8bbbda6b37409276caea215d5a16a76efd3392bba016a4e1a1d7323c9759aa",
+          "02c7d11ebad530b269c3960b3426ddc8ded73faa3f83cc56ca9884ebdf15df929d",
+          "021e9cf28a9f099915165a597cad8a6d8d72bfeac4937597572b50bd0045d32135"
+        ],
+        "shared_public_key": "02c14e8ec2b61e81f39639ede6722784bd0809e4c61be44a577f2a3c38c9d4c4fd",
         "vss_setup": {
           "I": [
             {
@@ -7798,64 +14971,133 @@
           ],
           "min_signers": 2
         },
-        "x": "6145864b55b5067a0fcdbd159487ef328f54afb16f6d07431bb8b210f1eab89f"
+        "x": "3f120b14e30a64bd1e546449633163f81a4c6c4541ade0e072b2436b2e9b4a78"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "a3e2ccebafa9606c1ef1c791d85142800bfdbd990fc6138b2872b8eeeaf4d6ac19c4cde0ee59f7ab4d8aa06334ea6cd10be267e399f5b4cd7caf5dffbcf2c8c673cd1821fbe355bc4dbf5da846f1bad6b3fe18613fb9b5bdd43220e8a6954a9a56924b89ff63bf09483e9958e29fbdde47f9d53967ae194d395ff5116b7baf69d5ad16bdc6f9f84f82be79ebef53cbaab5425d6c06305c1d56c09ebd057ee6601686363d9168560448f06bf7545fbeb247a747afc4f02fe4c201e00f740a8617"
+        },
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+            }
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         ],
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
-          "02fb6bc45c77aaf686813a13c7044e491106b2f74f034e73959b86faa12513f033",
-          "0368e8ba2e336f161365a13714b4ca8347797fb2fc091e8082c2423e9e63c5d970",
-          "029b1d52b55b124bb20527483abef4d1afda81317ea9f583e026d8753155bf2c91",
-          "03a40974a66c7a29c1cc8b65beea885bfbf5d7fdd50576e39fa73506d798541f16",
-          "03a979cd8241107530623f8dc0bed9a62f538b75722068f65900f9b37eac0fa989",
-          "033e1264a121a9ddd324a5a5c9432def9520962858cee302b7ba962cb919e50b6a",
-          "03ca69fca6c569e850c9923fa3dc7578e88497cfe4052c69ae2de056304b27a875"
-        ],
-        "shared_public_key": "037e62d61bfbb2961cf9547c4ea777c9cf32f72b37db276feb3d5f3fc71c1bb984",
+          "028b42c3b86116f7aaec76a965538d6ebc630d6f97814f5e6d93bafb5e58099aa7",
+          "02892e68f32d850a4c3a620be26ca58a351ebc174b7fecf0d6278b25ff54445e92",
+          "02b8bf009ff80d3c2ac287d3a308ac866f9696de5285723a066155359b9e16e622",
+          "03f8676e7b413a891a49be01f87c48eb21ccf9d8186b82e8aa68db2541b8123aa2",
+          "028a8bbbda6b37409276caea215d5a16a76efd3392bba016a4e1a1d7323c9759aa",
+          "02c7d11ebad530b269c3960b3426ddc8ded73faa3f83cc56ca9884ebdf15df929d",
+          "021e9cf28a9f099915165a597cad8a6d8d72bfeac4937597572b50bd0045d32135"
+        ],
+        "shared_public_key": "02c14e8ec2b61e81f39639ede6722784bd0809e4c61be44a577f2a3c38c9d4c4fd",
         "vss_setup": {
           "I": [
             {
@@ -7889,64 +15131,133 @@
           ],
           "min_signers": 2
         },
-        "x": "3ce0de70d3ee4600e5939f42770c43357c1a4209a124ebb42b6540f8d8a6795d"
+        "x": "cb186a299caf94b963ab6d478f2dc71ff405fa843ee2b940132759d5b6b51723"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "ea78a0f4b8bc4a0a225dd55e73ed3cf60df5dbaaa442eda92d7eaf4130c2123f84de5867e738465da4f99b36336391406509d0aac9df51fb3313df19e67d9411f42584f56994f411257cc4f3122cadc54dfb544660de1b3739f4fad06dcb0ceda70d6707332e0ba3415880f037a2c151f9b9af3faf6065bc1932fe7c1e6a27a539a52e522458b670a0a04ae34c9a7ae24998d541043805345bb7fec077e6fa496dcd78c9cbb7240dd052270b09907c831f5ce764f52b46f6c7baa531e9c58037"
+        },
         "parties": [
           {
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+            }
           }
         ],
-        "q": "880b81b54e912ee2d96958321f39bfe8a165e3a32fb5a85996a40f259b5e5e26675f484a414151f91ba4e7822edd45e8c7fcd568e532974c8c4d805b6ae54a174025b445e998c72042abfb1f66971cddc450d7c473d6cc6a7fabf89b4018a9dc887dd6964b83ce17f5b59e304516bcc2275ef3bf75a207797408af9814a97a3511e4c54cb273f39aa88e03e61fa7b713728745fce0105d8649650d72e06b28cc06823ad1a36fe7df8f46585c8a3d6828b1124d64c29a1d916af2b42a5cf552bf"
+        "q": {
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+          "value": "e741d936acb000129cda5c24f05374fae0e4f635cbfa4c424fc3f77e8e241c278bae21ef018f36e2a8aa89817207482c53a8ed8f6e075178f1cd66938b06c16c98a60ea1cbff908a137ba788403f09860bae9ec945f4dd7ad82ab748e12dbda2d6a39e8e3ddd1f766a5a82978523b903b1a32737212da948265381d08d9410e92fe089eecedd6e304084fdda722ea4f94fae8559bc494d6001aa98693b7de7c8c05b250e533a05a9e46d9fd687bd0ba97f48810ee29106dccddd3480f1970da7"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 5,
         "public_shares": [
-          "02fb6bc45c77aaf686813a13c7044e491106b2f74f034e73959b86faa12513f033",
-          "0368e8ba2e336f161365a13714b4ca8347797fb2fc091e8082c2423e9e63c5d970",
-          "029b1d52b55b124bb20527483abef4d1afda81317ea9f583e026d8753155bf2c91",
-          "03a40974a66c7a29c1cc8b65beea885bfbf5d7fdd50576e39fa73506d798541f16",
-          "03a979cd8241107530623f8dc0bed9a62f538b75722068f65900f9b37eac0fa989",
-          "033e1264a121a9ddd324a5a5c9432def9520962858cee302b7ba962cb919e50b6a",
-          "03ca69fca6c569e850c9923fa3dc7578e88497cfe4052c69ae2de056304b27a875"
-        ],
-        "shared_public_key": "037e62d61bfbb2961cf9547c4ea777c9cf32f72b37db276feb3d5f3fc71c1bb984",
+          "028b42c3b86116f7aaec76a965538d6ebc630d6f97814f5e6d93bafb5e58099aa7",
+          "02892e68f32d850a4c3a620be26ca58a351ebc174b7fecf0d6278b25ff54445e92",
+          "02b8bf009ff80d3c2ac287d3a308ac866f9696de5285723a066155359b9e16e622",
+          "03f8676e7b413a891a49be01f87c48eb21ccf9d8186b82e8aa68db2541b8123aa2",
+          "028a8bbbda6b37409276caea215d5a16a76efd3392bba016a4e1a1d7323c9759aa",
+          "02c7d11ebad530b269c3960b3426ddc8ded73faa3f83cc56ca9884ebdf15df929d",
+          "021e9cf28a9f099915165a597cad8a6d8d72bfeac4937597572b50bd0045d32135"
+        ],
+        "shared_public_key": "02c14e8ec2b61e81f39639ede6722784bd0809e4c61be44a577f2a3c38c9d4c4fd",
         "vss_setup": {
           "I": [
             {
@@ -7980,64 +15291,133 @@
           ],
           "min_signers": 2
         },
-        "x": "187c369652278587bb59816f5990973868dfd461d2dcd0253b11cfe0bf623a1b"
+        "x": "571ec93f5654c4b4a9027645bb2a2a4810d88e1594fff31abfe2a57d426bbe7d"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "f76ef2e9f79eb8d53ba27620d5ef4906fa4a0a8bf788b5d574595b22e9d409a6c82bc3350bd492f048ae8db21c1ef2475b077e3975392866256a183ff84381c680a5acf6bfb6a710d845223cfef3a23e4bdce9f938bb9af2cdc677372d0aa4089e541267066cbbfbf4f53dd6e172b1d63125f98ac9a671f297d8a9cf66626ddcd6ad10d0720c4437fc6d80571b74371d4b805633aeae666ccb1c64aa4ad0208fb9921ebb4977d0ba312a1090bb9e560376dffb6e72d608a34540880e455e4353"
+        },
         "parties": [
           {
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+            },
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+        "q": {
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+          "value": "a1051fd357499a8d24ccab3b85d5454a537cf8ff06bb451d0e6b60a1be31a5b7774305c7c359ccfba3130af7329d0607784026d25fd5b778205a021009afe59017ecec858a80f83400f46d17a5e728f0da74f49b27bc445edbe2e6e141c4ffb2c95503b338e9306791fce36963ba30eab15e095ad96e7bd17632e79d0a2de432fb6c5b2583a1a37eee490dff9eb4b5fbdca3931eade2d06d0e4ead91d9ba5672d5864c51ffe86c975272ea88abbb185004db7c5d1e738cc4df1369dae5addadb"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 6,
         "public_shares": [
-          "02fb6bc45c77aaf686813a13c7044e491106b2f74f034e73959b86faa12513f033",
-          "0368e8ba2e336f161365a13714b4ca8347797fb2fc091e8082c2423e9e63c5d970",
-          "029b1d52b55b124bb20527483abef4d1afda81317ea9f583e026d8753155bf2c91",
-          "03a40974a66c7a29c1cc8b65beea885bfbf5d7fdd50576e39fa73506d798541f16",
-          "03a979cd8241107530623f8dc0bed9a62f538b75722068f65900f9b37eac0fa989",
-          "033e1264a121a9ddd324a5a5c9432def9520962858cee302b7ba962cb919e50b6a",
-          "03ca69fca6c569e850c9923fa3dc7578e88497cfe4052c69ae2de056304b27a875"
-        ],
-        "shared_public_key": "037e62d61bfbb2961cf9547c4ea777c9cf32f72b37db276feb3d5f3fc71c1bb984",
+          "028b42c3b86116f7aaec76a965538d6ebc630d6f97814f5e6d93bafb5e58099aa7",
+          "02892e68f32d850a4c3a620be26ca58a351ebc174b7fecf0d6278b25ff54445e92",
+          "02b8bf009ff80d3c2ac287d3a308ac866f9696de5285723a066155359b9e16e622",
+          "03f8676e7b413a891a49be01f87c48eb21ccf9d8186b82e8aa68db2541b8123aa2",
+          "028a8bbbda6b37409276caea215d5a16a76efd3392bba016a4e1a1d7323c9759aa",
+          "02c7d11ebad530b269c3960b3426ddc8ded73faa3f83cc56ca9884ebdf15df929d",
+          "021e9cf28a9f099915165a597cad8a6d8d72bfeac4937597572b50bd0045d32135"
+        ],
+        "shared_public_key": "02c14e8ec2b61e81f39639ede6722784bd0809e4c61be44a577f2a3c38c9d4c4fd",
         "vss_setup": {
           "I": [
             {
@@ -8071,84 +15451,180 @@
           ],
           "min_signers": 2
         },
-        "x": "f4178ebad060c50f911f639c3c14eb3b128c6167abac531b3e78298ba281202a"
+        "x": "e32528540ff9f4b0ee597f43e7268d6fea921c549234cb7a6057bbe7ca858b28"
       }
     }
   ],
   "t=Some(3),n=10,curve=secp256k1": [
     {
       "aux": {
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       "core": {
         "curve": "secp256k1",
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+        ],
+        "shared_public_key": "03031bf8c81b02e7d3133e1624488a000a47f6a4d7538b8232bea2c93a55de9b99",
         "vss_setup": {
           "I": [
             {
@@ -8194,82 +15670,178 @@
           ],
           "min_signers": 3
         },
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-          "02763362e6fb9283b154e62e251fd9b45dc9971bee44d4b70db1757f884311e72f"
-        ],
-        "shared_public_key": "027dbc242b24aacde3be7188950972e87ea01f5e2e5f39a82c9f5d0117a393176e",
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+          "036493d21201ac6ee44bfe63bbe61e9a0bee8a977cde565500bbc5df84728282bb"
+        ],
+        "shared_public_key": "03031bf8c81b02e7d3133e1624488a000a47f6a4d7538b8232bea2c93a55de9b99",
         "vss_setup": {
           "I": [
             {
@@ -8315,82 +15887,178 @@
           ],
           "min_signers": 3
         },
-        "x": "e0bb7c3ff788bd90f1c6c8d4ecfd8eb4c0eb375040b7fd8358cd62f51985e3c3"
+        "x": "aa3dfb08a2d4d7992c0491f4e59dee35b18f28cd6227373c16beaccc78a53bc1"
       }
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         "curve": "secp256k1",
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+          "036493d21201ac6ee44bfe63bbe61e9a0bee8a977cde565500bbc5df84728282bb"
+        ],
+        "shared_public_key": "03031bf8c81b02e7d3133e1624488a000a47f6a4d7538b8232bea2c93a55de9b99",
         "vss_setup": {
           "I": [
             {
@@ -8436,82 +16104,178 @@
           ],
           "min_signers": 3
         },
-        "x": "a2e26864247c2dd44d4379709b119cca60f8ed05bdd4e6f04b92c5dd92fa62d7"
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       },
       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
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-          "03c580e03992ccb04e8db41cbef53ad8335fc94a73c63c68d5e911e6f48b01c8a5",
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-          "022cbdc6378b26becda28ca1ef86bfb8de26dd953fb5b455f8b83994f8c09e144e",
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-          "02763362e6fb9283b154e62e251fd9b45dc9971bee44d4b70db1757f884311e72f"
-        ],
-        "shared_public_key": "027dbc242b24aacde3be7188950972e87ea01f5e2e5f39a82c9f5d0117a393176e",
+          "025101ce094ebe2e03d858be1cf86df4da60882ebb1e8e6b607bd732aea3447714",
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+          "02d6750a904e0148f7c8e41b5bb79aa8ccd371ed8c292aef4cf7d6a452b0d15ae2",
+          "028851999f4fe5873fd9a795e66da083ff0c88e14092bd43e4342f6ac114c65879",
+          "02dd2e5568ee5ddfda29c14f9c28690522a3eede448d42b0f88ed4f7fa7a03fb21",
+          "02c4272b2644eb3ba911fcf40c236fbe5c6cfdf94f64117d0e5103d7583b5994b4",
+          "022a3cfba1503d27829b5ca00a93ae334e4d214d40aefac272fba8e5fa4ab0f1cc",
+          "0264e8651e8b809a6ac3df60b99490fa9489c81a7a21b98de91596b513d5dbfdd6",
+          "036493d21201ac6ee44bfe63bbe61e9a0bee8a977cde565500bbc5df84728282bb"
+        ],
+        "shared_public_key": "03031bf8c81b02e7d3133e1624488a000a47f6a4d7538b8232bea2c93a55de9b99",
         "vss_setup": {
           "I": [
             {
@@ -8557,82 +16321,178 @@
           ],
           "min_signers": 3
         },
-        "x": "464ae9538c56387f839b455fa55b1f186d3369f7a7d9faf5856615c9cf81eb04"
+        "x": "a7de472764bcac8d6b8d8efc583605d201372986b013977afa4aa77920a1357b"
       }
     },
     {
       "aux": {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
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-          "03c580e03992ccb04e8db41cbef53ad8335fc94a73c63c68d5e911e6f48b01c8a5",
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-          "02763362e6fb9283b154e62e251fd9b45dc9971bee44d4b70db1757f884311e72f"
-        ],
-        "shared_public_key": "027dbc242b24aacde3be7188950972e87ea01f5e2e5f39a82c9f5d0117a393176e",
+          "025101ce094ebe2e03d858be1cf86df4da60882ebb1e8e6b607bd732aea3447714",
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+          "02d6750a904e0148f7c8e41b5bb79aa8ccd371ed8c292aef4cf7d6a452b0d15ae2",
+          "028851999f4fe5873fd9a795e66da083ff0c88e14092bd43e4342f6ac114c65879",
+          "02dd2e5568ee5ddfda29c14f9c28690522a3eede448d42b0f88ed4f7fa7a03fb21",
+          "02c4272b2644eb3ba911fcf40c236fbe5c6cfdf94f64117d0e5103d7583b5994b4",
+          "022a3cfba1503d27829b5ca00a93ae334e4d214d40aefac272fba8e5fa4ab0f1cc",
+          "0264e8651e8b809a6ac3df60b99490fa9489c81a7a21b98de91596b513d5dbfdd6",
+          "036493d21201ac6ee44bfe63bbe61e9a0bee8a977cde565500bbc5df84728282bb"
+        ],
+        "shared_public_key": "03031bf8c81b02e7d3133e1624488a000a47f6a4d7538b8232bea2c93a55de9b99",
         "vss_setup": {
           "I": [
             {
@@ -8678,82 +16538,178 @@
           ],
           "min_signers": 3
         },
-        "x": "caf4ff0e2f16dd9294ce2ca20bda159da0498b0cae0fd9cec619b1469f52bd8b"
+        "x": "c163949dc47cab7c6777726b8c65977f4281aa11ae7352ebcb556ff6a4613d12"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "cdb6822dd928c9761c15a82a9318fa093eb1d7d4414fdd1c1ceec19935ad5c395e524dad0a2a87524f0f5d59d7dccf1b7e73c87fbc052c7776a3c29498a9fda67bdbc203bf59777b848ff80e4bf46a54f6106e0b82def2a7b50375f5a6c8936824742af218ad278d0035c4e402b87e8de8a3a3b44ed81af0033e1c1ac0821cf1f8a8d01829fbf3a7b4598e48010fbbb8911132e336c291aadbad89474f8a3d1783797c32df2d9c697fec109f18c5cb93b7db7f387b0a7f2360d7e487fd5ddd53"
+        },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 5,
         "public_shares": [
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-          "02763362e6fb9283b154e62e251fd9b45dc9971bee44d4b70db1757f884311e72f"
-        ],
-        "shared_public_key": "027dbc242b24aacde3be7188950972e87ea01f5e2e5f39a82c9f5d0117a393176e",
+          "025101ce094ebe2e03d858be1cf86df4da60882ebb1e8e6b607bd732aea3447714",
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+          "02d6750a904e0148f7c8e41b5bb79aa8ccd371ed8c292aef4cf7d6a452b0d15ae2",
+          "028851999f4fe5873fd9a795e66da083ff0c88e14092bd43e4342f6ac114c65879",
+          "02dd2e5568ee5ddfda29c14f9c28690522a3eede448d42b0f88ed4f7fa7a03fb21",
+          "02c4272b2644eb3ba911fcf40c236fbe5c6cfdf94f64117d0e5103d7583b5994b4",
+          "022a3cfba1503d27829b5ca00a93ae334e4d214d40aefac272fba8e5fa4ab0f1cc",
+          "0264e8651e8b809a6ac3df60b99490fa9489c81a7a21b98de91596b513d5dbfdd6",
+          "036493d21201ac6ee44bfe63bbe61e9a0bee8a977cde565500bbc5df84728282bb"
+        ],
+        "shared_public_key": "03031bf8c81b02e7d3133e1624488a000a47f6a4d7538b8232bea2c93a55de9b99",
         "vss_setup": {
           "I": [
             {
@@ -8799,82 +16755,178 @@
           ],
           "min_signers": 3
         },
-        "x": "30e0a9940cbe1d0d80dc2f37ce8e805c84dd967771e543048e08db3a620057ea"
+        "x": "ecb6fc58ce1a0d63f624ee77bd2cd7c13f708010e7196b3d868e1538f2a2a125"
       }
     },
     {
       "aux": {
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+        },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 6,
         "public_shares": [
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-          "02763362e6fb9283b154e62e251fd9b45dc9971bee44d4b70db1757f884311e72f"
-        ],
-        "shared_public_key": "027dbc242b24aacde3be7188950972e87ea01f5e2e5f39a82c9f5d0117a393176e",
+          "025101ce094ebe2e03d858be1cf86df4da60882ebb1e8e6b607bd732aea3447714",
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+          "028851999f4fe5873fd9a795e66da083ff0c88e14092bd43e4342f6ac114c65879",
+          "02dd2e5568ee5ddfda29c14f9c28690522a3eede448d42b0f88ed4f7fa7a03fb21",
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+          "0264e8651e8b809a6ac3df60b99490fa9489c81a7a21b98de91596b513d5dbfdd6",
+          "036493d21201ac6ee44bfe63bbe61e9a0bee8a977cde565500bbc5df84728282bb"
+        ],
+        "shared_public_key": "03031bf8c81b02e7d3133e1624488a000a47f6a4d7538b8232bea2c93a55de9b99",
         "vss_setup": {
           "I": [
             {
@@ -8920,82 +16972,178 @@
           ],
           "min_signers": 3
         },
-        "x": "780de8e5254bf6f047c54d20ed785f52904d460551eb770e5cd850beb7f73ca3"
+        "x": "29d87e588194d24417960320ea8bc6993d54ce9daabd40346c2238b33b2f2073"
       }
     },
     {
       "aux": {
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       },
       "core": {
         "curve": "secp256k1",
         "i": 7,
         "public_shares": [
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-          "02763362e6fb9283b154e62e251fd9b45dc9971bee44d4b70db1757f884311e72f"
-        ],
-        "shared_public_key": "027dbc242b24aacde3be7188950972e87ea01f5e2e5f39a82c9f5d0117a393176e",
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+          "0264e8651e8b809a6ac3df60b99490fa9489c81a7a21b98de91596b513d5dbfdd6",
+          "036493d21201ac6ee44bfe63bbe61e9a0bee8a977cde565500bbc5df84728282bb"
+        ],
+        "shared_public_key": "03031bf8c81b02e7d3133e1624488a000a47f6a4d7538b8232bea2c93a55de9b99",
         "vss_setup": {
           "I": [
             {
@@ -9041,82 +17189,178 @@
           ],
           "min_signers": 3
         },
-        "x": "a07cbd0178c06b3ae989865d6897b28107e9bccf9ed9d5b072b5b346d1012a75"
+        "x": "78c81a9cdeecfa1ccbcab06714826404b18c4f8557f01247fbb6977f1e733d7e"
       }
     },
     {
       "aux": {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 8,
         "public_shares": [
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-          "02763362e6fb9283b154e62e251fd9b45dc9971bee44d4b70db1757f884311e72f"
-        ],
-        "shared_public_key": "027dbc242b24aacde3be7188950972e87ea01f5e2e5f39a82c9f5d0117a393176e",
+          "025101ce094ebe2e03d858be1cf86df4da60882ebb1e8e6b607bd732aea3447714",
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+          "028851999f4fe5873fd9a795e66da083ff0c88e14092bd43e4342f6ac114c65879",
+          "02dd2e5568ee5ddfda29c14f9c28690522a3eede448d42b0f88ed4f7fa7a03fb21",
+          "02c4272b2644eb3ba911fcf40c236fbe5c6cfdf94f64117d0e5103d7583b5994b4",
+          "022a3cfba1503d27829b5ca00a93ae334e4d214d40aefac272fba8e5fa4ab0f1cc",
+          "0264e8651e8b809a6ac3df60b99490fa9489c81a7a21b98de91596b513d5dbfdd6",
+          "036493d21201ac6ee44bfe63bbe61e9a0bee8a977cde565500bbc5df84728282bb"
+        ],
+        "shared_public_key": "03031bf8c81b02e7d3133e1624488a000a47f6a4d7538b8232bea2c93a55de9b99",
         "vss_setup": {
           "I": [
             {
@@ -9162,82 +17406,178 @@
           ],
           "min_signers": 3
         },
-        "x": "aa2d25e9071b79ed6628daed3fec79e7ebb2fad658b05eeacfa102d2ad1e2160"
+        "x": "d985d125e62284ee12c2f64a3b10b004e16825e13f69413c7578d30fcc38b705"
       }
     },
     {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 9,
         "public_shares": [
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-          "03c580e03992ccb04e8db41cbef53ad8335fc94a73c63c68d5e911e6f48b01c8a5",
-          "03bdbfa59e70104368aa4f2536391c5baa23dc350dc2bc58d97a955d2a304628ac",
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-          "02f0c9f0c1d6b962a3b48024ef029dfb01af67a5e59beb756490bcc17e85086aa5",
-          "02763362e6fb9283b154e62e251fd9b45dc9971bee44d4b70db1757f884311e72f"
-        ],
-        "shared_public_key": "027dbc242b24aacde3be7188950972e87ea01f5e2e5f39a82c9f5d0117a393176e",
+          "025101ce094ebe2e03d858be1cf86df4da60882ebb1e8e6b607bd732aea3447714",
+          "02b8cedb5a8f5cb181db55fed6c763a7fa488d267c4c7342218af956156c1a1b16",
+          "02cf5b88bf44daaee1f1733c14a8aaac96b413de9b99b6d5601891730cfb13ad8d",
+          "02d6750a904e0148f7c8e41b5bb79aa8ccd371ed8c292aef4cf7d6a452b0d15ae2",
+          "028851999f4fe5873fd9a795e66da083ff0c88e14092bd43e4342f6ac114c65879",
+          "02dd2e5568ee5ddfda29c14f9c28690522a3eede448d42b0f88ed4f7fa7a03fb21",
+          "02c4272b2644eb3ba911fcf40c236fbe5c6cfdf94f64117d0e5103d7583b5994b4",
+          "022a3cfba1503d27829b5ca00a93ae334e4d214d40aefac272fba8e5fa4ab0f1cc",
+          "0264e8651e8b809a6ac3df60b99490fa9489c81a7a21b98de91596b513d5dbfdd6",
+          "036493d21201ac6ee44bfe63bbe61e9a0bee8a977cde565500bbc5df84728282bb"
+        ],
+        "shared_public_key": "03031bf8c81b02e7d3133e1624488a000a47f6a4d7538b8232bea2c93a55de9b99",
         "vss_setup": {
           "I": [
             {
@@ -9283,84 +17623,180 @@
           ],
           "min_signers": 3
         },
-        "x": "951f239bd05d2307bda34ad07376b5873ba900197f6f12bd739a3f624c4e2164"
+        "x": "4c11a1f3973572b7ec7ed4ca5e36aa9b123974cab1e02cd619968cd874494bc7"
       }
     }
   ],
   "t=Some(3),n=10,curve=secp256r1": [
     {
       "aux": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
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-          "034400476babd5fb24897d3a0fe3161968090c345e42f0bccb3a161c922f8a5685",
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-          "0337521abfb72074f9f6499040fa09781496dd3daf0bbda5230c426beebc56eb06"
-        ],
-        "shared_public_key": "0215b47af0583ddf01c064eb3bde8a264152df005fef4ee568dabf5f2bedc890e0",
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+          "03ecef0218abfa9e286ae1b5b88780e22e4d76cec55c91f867a296885b1e6392c7",
+          "0332854deca084887cb3e2d19142bb3af8b9cded4debe95e161d3731c78ee63629",
+          "027c3c984c6d870785bc3c00137bb931588fd8e75e81973ae9f1d5aec0ca86b543",
+          "026f41c946b23071b7152cb90fc8f05d4f6be307362786a55166d85de115694988",
+          "03faeca0c8caea9b49928431511933e2f6be5c60f8b4b0d747da6bf629929bbb2b",
+          "039a6a355bcb654121aa028ffce7e8bc8f5884c90f8a310b5aebd3cb0560d548ac"
+        ],
+        "shared_public_key": "03a7123c971542f70a9e74ea297bca757e88b2f8d12bfe474f3600ef83817a9532",
         "vss_setup": {
           "I": [
             {
@@ -9406,82 +17842,178 @@
           ],
           "min_signers": 3
         },
-        "x": "df8b4638aef8b9bbbbe955b564c8cfe2d0edf2c95ab9d2da553a7b519268b8c5"
+        "x": "f976a4dfee605d10c4a1164c532ba1af574ddd7101e4f0f7e4b2d6c33ca419d3"
       }
     },
     {
       "aux": {
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+        },
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
-          "03809427ea70b35c20ba7eb620c80a2073d5cf2baa4d3d4bbda1b693aec212063b",
-          "034400476babd5fb24897d3a0fe3161968090c345e42f0bccb3a161c922f8a5685",
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-          "027ce4006aa0829f92593799fbd928e0ea0f562d277de7c342cc3cbe16dafb4a9d",
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-          "0337521abfb72074f9f6499040fa09781496dd3daf0bbda5230c426beebc56eb06"
-        ],
-        "shared_public_key": "0215b47af0583ddf01c064eb3bde8a264152df005fef4ee568dabf5f2bedc890e0",
+          "038700daebb1b3a0f0f266b7543118bb33e541e05f9a9ccfddf1eb266330b04caa",
+          "0349b223a60a19c1af5ded5bcc121cba692875d717ba6dabac763231c31d92269f",
+          "026abfb78b78776ea9e7cd50995ee89f4a6fe6ddab4538daeb4329d7ebd2fe984e",
+          "03c6df256b45c708aeab339f43b9e7b9294695f4e2c841671b66713e08d7d8579e",
+          "03ecef0218abfa9e286ae1b5b88780e22e4d76cec55c91f867a296885b1e6392c7",
+          "0332854deca084887cb3e2d19142bb3af8b9cded4debe95e161d3731c78ee63629",
+          "027c3c984c6d870785bc3c00137bb931588fd8e75e81973ae9f1d5aec0ca86b543",
+          "026f41c946b23071b7152cb90fc8f05d4f6be307362786a55166d85de115694988",
+          "03faeca0c8caea9b49928431511933e2f6be5c60f8b4b0d747da6bf629929bbb2b",
+          "039a6a355bcb654121aa028ffce7e8bc8f5884c90f8a310b5aebd3cb0560d548ac"
+        ],
+        "shared_public_key": "03a7123c971542f70a9e74ea297bca757e88b2f8d12bfe474f3600ef83817a9532",
         "vss_setup": {
           "I": [
             {
@@ -9527,82 +18059,178 @@
           ],
           "min_signers": 3
         },
-        "x": "5a9a707f6713c6c51142e024a0bf09741be136858c3f05fcd92a25855eee5477"
+        "x": "b5fe7272081990ea32d451041490e957a9b1de942852a8a95706ce9e7a9448b3"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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       "core": {
         "curve": "secp256r1",
         "i": 2,
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-          "0337521abfb72074f9f6499040fa09781496dd3daf0bbda5230c426beebc56eb06"
-        ],
-        "shared_public_key": "0215b47af0583ddf01c064eb3bde8a264152df005fef4ee568dabf5f2bedc890e0",
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+          "0332854deca084887cb3e2d19142bb3af8b9cded4debe95e161d3731c78ee63629",
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+          "03faeca0c8caea9b49928431511933e2f6be5c60f8b4b0d747da6bf629929bbb2b",
+          "039a6a355bcb654121aa028ffce7e8bc8f5884c90f8a310b5aebd3cb0560d548ac"
+        ],
+        "shared_public_key": "03a7123c971542f70a9e74ea297bca757e88b2f8d12bfe474f3600ef83817a9532",
         "vss_setup": {
           "I": [
             {
@@ -9648,82 +18276,178 @@
           ],
           "min_signers": 3
         },
-        "x": "be5c829d6b04bdd0b3bdea503273a541af9594a749fafe1e4255f6299de99dad"
+        "x": "dbc64128a7a7c6ed779ae43ff4a08f94fd9a691434151175c903feb9031fa55c"
       }
     },
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       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
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+          "03faeca0c8caea9b49928431511933e2f6be5c60f8b4b0d747da6bf629929bbb2b",
+          "039a6a355bcb654121aa028ffce7e8bc8f5884c90f8a310b5aebd3cb0560d548ac"
+        ],
+        "shared_public_key": "03a7123c971542f70a9e74ea297bca757e88b2f8d12bfe474f3600ef83817a9532",
         "vss_setup": {
           "I": [
             {
@@ -9769,82 +18493,178 @@
           ],
           "min_signers": 3
         },
-        "x": "0ad17c94bacb9edca35a743819e6a34c123d17d345be7e34a94a57b8569449c5"
+        "x": "6ace1104cd0aff1992f4cffff35a9467962082437e148cd846f09c4fd9e30a7d"
       }
     },
     {
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+        "q": {
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+          "value": "bd58acce5cbbe493b715a024901a6d0c3dd68d483c9dd41011b9882a13628fb5775fbbc847987c6e99d3619e7f27e1a4ac456e7e959731adc42caadb3f33f616f899a544a51ce572305dbb66a09e4efa68a4149df800c5898a13e15f6cf58e4f9dfcf46d9fd3e04126a2c2926ea1e2e4a7a9bee436d9e1d23e5a15a474cb02904ea3122adc6eff4f9368b3006f32a4b7f6c0202c3a830e207fb2f70b11755b748f8b91dbc0a2f2492d271efcf4ae760f051f0ea09d377763a676c8dc47e64ee3"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
-          "03809427ea70b35c20ba7eb620c80a2073d5cf2baa4d3d4bbda1b693aec212063b",
-          "034400476babd5fb24897d3a0fe3161968090c345e42f0bccb3a161c922f8a5685",
-          "03a65039c695a36147c90fc6ca4fd303cfa270f3e21eb769368d10162c142a607a",
-          "0375101b55a87f3b6a6a234a95c551a03b5c730cd7271a68235d7bfdb3a31a2019",
-          "02d0415588c1658671fa51c7959109d1c8c2b9ed9f7b7460422f80f446a3d88c48",
-          "037eefd01cb5c6394224a76a778d4765badd761838f89b3a3ff464123698a9258f",
-          "02c1d8d5347964a493a0d99c820482d846666e9e82c15378a80967b6b5d127206c",
-          "027ce4006aa0829f92593799fbd928e0ea0f562d277de7c342cc3cbe16dafb4a9d",
-          "02c2cafa10f06cc3c28df5ba8dc36351dbd18cb222586109b646afce2d394afe95",
-          "0337521abfb72074f9f6499040fa09781496dd3daf0bbda5230c426beebc56eb06"
-        ],
-        "shared_public_key": "0215b47af0583ddf01c064eb3bde8a264152df005fef4ee568dabf5f2bedc890e0",
+          "038700daebb1b3a0f0f266b7543118bb33e541e05f9a9ccfddf1eb266330b04caa",
+          "0349b223a60a19c1af5ded5bcc121cba692875d717ba6dabac763231c31d92269f",
+          "026abfb78b78776ea9e7cd50995ee89f4a6fe6ddab4538daeb4329d7ebd2fe984e",
+          "03c6df256b45c708aeab339f43b9e7b9294695f4e2c841671b66713e08d7d8579e",
+          "03ecef0218abfa9e286ae1b5b88780e22e4d76cec55c91f867a296885b1e6392c7",
+          "0332854deca084887cb3e2d19142bb3af8b9cded4debe95e161d3731c78ee63629",
+          "027c3c984c6d870785bc3c00137bb931588fd8e75e81973ae9f1d5aec0ca86b543",
+          "026f41c946b23071b7152cb90fc8f05d4f6be307362786a55166d85de115694988",
+          "03faeca0c8caea9b49928431511933e2f6be5c60f8b4b0d747da6bf629929bbb2b",
+          "039a6a355bcb654121aa028ffce7e8bc8f5884c90f8a310b5aebd3cb0560d548ac"
+        ],
+        "shared_public_key": "03a7123c971542f70a9e74ea297bca757e88b2f8d12bfe474f3600ef83817a9532",
         "vss_setup": {
           "I": [
             {
@@ -9890,82 +18710,178 @@
           ],
           "min_signers": 3
         },
-        "x": "3ff95e63566869eae0187ddc57180392bda5b564cdb8c349f57adfb781b4a361"
+        "x": "6315e2057843396f84e2144410bef7cf302b24cfad68b955c4867225fb419d67"
       }
     },
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 5,
         "public_shares": [
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-          "034400476babd5fb24897d3a0fe3161968090c345e42f0bccb3a161c922f8a5685",
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-          "0375101b55a87f3b6a6a234a95c551a03b5c730cd7271a68235d7bfdb3a31a2019",
-          "02d0415588c1658671fa51c7959109d1c8c2b9ed9f7b7460422f80f446a3d88c48",
-          "037eefd01cb5c6394224a76a778d4765badd761838f89b3a3ff464123698a9258f",
-          "02c1d8d5347964a493a0d99c820482d846666e9e82c15378a80967b6b5d127206c",
-          "027ce4006aa0829f92593799fbd928e0ea0f562d277de7c342cc3cbe16dafb4a9d",
-          "02c2cafa10f06cc3c28df5ba8dc36351dbd18cb222586109b646afce2d394afe95",
-          "0337521abfb72074f9f6499040fa09781496dd3daf0bbda5230c426beebc56eb06"
-        ],
-        "shared_public_key": "0215b47af0583ddf01c064eb3bde8a264152df005fef4ee568dabf5f2bedc890e0",
+          "038700daebb1b3a0f0f266b7543118bb33e541e05f9a9ccfddf1eb266330b04caa",
+          "0349b223a60a19c1af5ded5bcc121cba692875d717ba6dabac763231c31d92269f",
+          "026abfb78b78776ea9e7cd50995ee89f4a6fe6ddab4538daeb4329d7ebd2fe984e",
+          "03c6df256b45c708aeab339f43b9e7b9294695f4e2c841671b66713e08d7d8579e",
+          "03ecef0218abfa9e286ae1b5b88780e22e4d76cec55c91f867a296885b1e6392c7",
+          "0332854deca084887cb3e2d19142bb3af8b9cded4debe95e161d3731c78ee63629",
+          "027c3c984c6d870785bc3c00137bb931588fd8e75e81973ae9f1d5aec0ca86b543",
+          "026f41c946b23071b7152cb90fc8f05d4f6be307362786a55166d85de115694988",
+          "03faeca0c8caea9b49928431511933e2f6be5c60f8b4b0d747da6bf629929bbb2b",
+          "039a6a355bcb654121aa028ffce7e8bc8f5884c90f8a310b5aebd3cb0560d548ac"
+        ],
+        "shared_public_key": "03a7123c971542f70a9e74ea297bca757e88b2f8d12bfe474f3600ef83817a9532",
         "vss_setup": {
           "I": [
             {
@@ -10011,82 +18927,178 @@
           ],
           "min_signers": 3
         },
-        "x": "5dd4280a3ddb1efa69f8073cea07c615f4e872ae3ad22ed9332dc36422e78530"
+        "x": "c49db42aa95075ef4d62b10c4ccdb9cbcbba50b8c21196ee41c5803b673b5e1a"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "9909c501922a66a11ef55b73d333d2722d592cc27b7be24fbc3c5c54e8cd9e8d46175b9e8b95f7ed4e8e1586fa507c837102cad55173f3df5566ab1086269c39758484afa76b228cc169cad8570caa0130a9c888bf0dc235a3ac45296fa6d2239ed57215c821240f1c85dce68ab08a2996534285cb1f0e4eb49ea4cc8c844d28ee5f86d6f4d4d382911cd635008596d5d12507825f51dedfe40c7d9842dc549986e94f74abb449c8f86e2ef19b92b63c655475f6de1240482672f889bdc3cc2f"
+        },
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 6,
         "public_shares": [
-          "03809427ea70b35c20ba7eb620c80a2073d5cf2baa4d3d4bbda1b693aec212063b",
-          "034400476babd5fb24897d3a0fe3161968090c345e42f0bccb3a161c922f8a5685",
-          "03a65039c695a36147c90fc6ca4fd303cfa270f3e21eb769368d10162c142a607a",
-          "0375101b55a87f3b6a6a234a95c551a03b5c730cd7271a68235d7bfdb3a31a2019",
-          "02d0415588c1658671fa51c7959109d1c8c2b9ed9f7b7460422f80f446a3d88c48",
-          "037eefd01cb5c6394224a76a778d4765badd761838f89b3a3ff464123698a9258f",
-          "02c1d8d5347964a493a0d99c820482d846666e9e82c15378a80967b6b5d127206c",
-          "027ce4006aa0829f92593799fbd928e0ea0f562d277de7c342cc3cbe16dafb4a9d",
-          "02c2cafa10f06cc3c28df5ba8dc36351dbd18cb222586109b646afce2d394afe95",
-          "0337521abfb72074f9f6499040fa09781496dd3daf0bbda5230c426beebc56eb06"
-        ],
-        "shared_public_key": "0215b47af0583ddf01c064eb3bde8a264152df005fef4ee568dabf5f2bedc890e0",
+          "038700daebb1b3a0f0f266b7543118bb33e541e05f9a9ccfddf1eb266330b04caa",
+          "0349b223a60a19c1af5ded5bcc121cba692875d717ba6dabac763231c31d92269f",
+          "026abfb78b78776ea9e7cd50995ee89f4a6fe6ddab4538daeb4329d7ebd2fe984e",
+          "03c6df256b45c708aeab339f43b9e7b9294695f4e2c841671b66713e08d7d8579e",
+          "03ecef0218abfa9e286ae1b5b88780e22e4d76cec55c91f867a296885b1e6392c7",
+          "0332854deca084887cb3e2d19142bb3af8b9cded4debe95e161d3731c78ee63629",
+          "027c3c984c6d870785bc3c00137bb931588fd8e75e81973ae9f1d5aec0ca86b543",
+          "026f41c946b23071b7152cb90fc8f05d4f6be307362786a55166d85de115694988",
+          "03faeca0c8caea9b49928431511933e2f6be5c60f8b4b0d747da6bf629929bbb2b",
+          "039a6a355bcb654121aa028ffce7e8bc8f5884c90f8a310b5aebd3cb0560d548ac"
+        ],
+        "shared_public_key": "03a7123c971542f70a9e74ea297bca757e88b2f8d12bfe474f3600ef83817a9532",
         "vss_setup": {
           "I": [
             {
@@ -10132,82 +19144,178 @@
           ],
           "min_signers": 3
         },
-        "x": "6461d9897123be0b40f91059d2b5ead5b8054faf8d0ac0e2626302be3a2cef32"
+        "x": "8f6587756032b497ec76a658a786da5dabe70b5114f7871ccaf3fbcd216d2745"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "a275317762390eacca9b95b06a87cc1cc7e8288b101dbf9f15fb043a9e8ecbe157ec941de7774c2e20516d66108994c9b76a9fdfca30775b01430c5129d002615b2339d21358ee37c5b2f0aba9b36aa9c0215a63ecec0cd0be912ef31e606b161a002e2f61aecb4ea555bd41fec7ce98f519f5a3934859bfd215bc07c040242f327e93876ab0ef789d507765e5406b808a16981ce6becc2a4246ef453d8066d72725c39d011fdb5d9c492b8a19a842d014fb6ecea41873dda8e6b96cd283e95f"
+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 7,
         "public_shares": [
-          "03809427ea70b35c20ba7eb620c80a2073d5cf2baa4d3d4bbda1b693aec212063b",
-          "034400476babd5fb24897d3a0fe3161968090c345e42f0bccb3a161c922f8a5685",
-          "03a65039c695a36147c90fc6ca4fd303cfa270f3e21eb769368d10162c142a607a",
-          "0375101b55a87f3b6a6a234a95c551a03b5c730cd7271a68235d7bfdb3a31a2019",
-          "02d0415588c1658671fa51c7959109d1c8c2b9ed9f7b7460422f80f446a3d88c48",
-          "037eefd01cb5c6394224a76a778d4765badd761838f89b3a3ff464123698a9258f",
-          "02c1d8d5347964a493a0d99c820482d846666e9e82c15378a80967b6b5d127206c",
-          "027ce4006aa0829f92593799fbd928e0ea0f562d277de7c342cc3cbe16dafb4a9d",
-          "02c2cafa10f06cc3c28df5ba8dc36351dbd18cb222586109b646afce2d394afe95",
-          "0337521abfb72074f9f6499040fa09781496dd3daf0bbda5230c426beebc56eb06"
-        ],
-        "shared_public_key": "0215b47af0583ddf01c064eb3bde8a264152df005fef4ee568dabf5f2bedc890e0",
+          "038700daebb1b3a0f0f266b7543118bb33e541e05f9a9ccfddf1eb266330b04caa",
+          "0349b223a60a19c1af5ded5bcc121cba692875d717ba6dabac763231c31d92269f",
+          "026abfb78b78776ea9e7cd50995ee89f4a6fe6ddab4538daeb4329d7ebd2fe984e",
+          "03c6df256b45c708aeab339f43b9e7b9294695f4e2c841671b66713e08d7d8579e",
+          "03ecef0218abfa9e286ae1b5b88780e22e4d76cec55c91f867a296885b1e6392c7",
+          "0332854deca084887cb3e2d19142bb3af8b9cded4debe95e161d3731c78ee63629",
+          "027c3c984c6d870785bc3c00137bb931588fd8e75e81973ae9f1d5aec0ca86b543",
+          "026f41c946b23071b7152cb90fc8f05d4f6be307362786a55166d85de115694988",
+          "03faeca0c8caea9b49928431511933e2f6be5c60f8b4b0d747da6bf629929bbb2b",
+          "039a6a355bcb654121aa028ffce7e8bc8f5884c90f8a310b5aebd3cb0560d548ac"
+        ],
+        "shared_public_key": "03a7123c971542f70a9e74ea297bca757e88b2f8d12bfe474f3600ef83817a9532",
         "vss_setup": {
           "I": [
             {
@@ -10253,82 +19361,178 @@
           ],
           "min_signers": 3
         },
-        "x": "53a272e0f042471d651b9933112271d206fc4c68c4627965831a9dc5c784e167"
+        "x": "c36d5be49ce9f56a621df42920ea59848d984f464d32286653cbaf9e263a1e39"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "bc2ac872c5adb255c6b13f9222c69970dd30ddeb53906a894218422fd38819b17f190e92a3307421d904d1d54ff259fc4397158a28ad399ef3a66a8deb5cfed492b890ce275cd488f8a45d76b9b3c5130e3ba206b295067ecc50d3b3701ff846f86f9853c43068a8797b55397d53e6e9923ca6578dc6242ad324f1d5f8f61262e76ee271aac37dcbe953f037dd8e06d4e05c5288b227346a48dd747af6fd1f7184eb8ebb70d18e3341ebe881111146826f2b5e345b02be743079a542200ab1ab"
+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 8,
         "public_shares": [
-          "03809427ea70b35c20ba7eb620c80a2073d5cf2baa4d3d4bbda1b693aec212063b",
-          "034400476babd5fb24897d3a0fe3161968090c345e42f0bccb3a161c922f8a5685",
-          "03a65039c695a36147c90fc6ca4fd303cfa270f3e21eb769368d10162c142a607a",
-          "0375101b55a87f3b6a6a234a95c551a03b5c730cd7271a68235d7bfdb3a31a2019",
-          "02d0415588c1658671fa51c7959109d1c8c2b9ed9f7b7460422f80f446a3d88c48",
-          "037eefd01cb5c6394224a76a778d4765badd761838f89b3a3ff464123698a9258f",
-          "02c1d8d5347964a493a0d99c820482d846666e9e82c15378a80967b6b5d127206c",
-          "027ce4006aa0829f92593799fbd928e0ea0f562d277de7c342cc3cbe16dafb4a9d",
-          "02c2cafa10f06cc3c28df5ba8dc36351dbd18cb222586109b646afce2d394afe95",
-          "0337521abfb72074f9f6499040fa09781496dd3daf0bbda5230c426beebc56eb06"
-        ],
-        "shared_public_key": "0215b47af0583ddf01c064eb3bde8a264152df005fef4ee568dabf5f2bedc890e0",
+          "038700daebb1b3a0f0f266b7543118bb33e541e05f9a9ccfddf1eb266330b04caa",
+          "0349b223a60a19c1af5ded5bcc121cba692875d717ba6dabac763231c31d92269f",
+          "026abfb78b78776ea9e7cd50995ee89f4a6fe6ddab4538daeb4329d7ebd2fe984e",
+          "03c6df256b45c708aeab339f43b9e7b9294695f4e2c841671b66713e08d7d8579e",
+          "03ecef0218abfa9e286ae1b5b88780e22e4d76cec55c91f867a296885b1e6392c7",
+          "0332854deca084887cb3e2d19142bb3af8b9cded4debe95e161d3731c78ee63629",
+          "027c3c984c6d870785bc3c00137bb931588fd8e75e81973ae9f1d5aec0ca86b543",
+          "026f41c946b23071b7152cb90fc8f05d4f6be307362786a55166d85de115694988",
+          "03faeca0c8caea9b49928431511933e2f6be5c60f8b4b0d747da6bf629929bbb2b",
+          "039a6a355bcb654121aa028ffce7e8bc8f5884c90f8a310b5aebd3cb0560d548ac"
+        ],
+        "shared_public_key": "03a7123c971542f70a9e74ea297bca757e88b2f8d12bfe474f3600ef83817a9532",
         "vss_setup": {
           "I": [
             {
@@ -10374,82 +19578,178 @@
           ],
           "min_signers": 3
         },
-        "x": "2b95f410bb36ba30d65fa1c8a54d5b0ae1cd68d9e0d958629554947acaef5bcf"
+        "x": "60b531795f763865ae589a7db8f83740b3e721eac3a9dc45e892d0eb793f1da5"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "bd54097af17287020909b42cc5a4219d9198b857ea274066c66c8605bb083f1483388aadee28628b0e9029051a9d5960b49b3491b25a622ff64542493587a1ec23303a9ed1f45f3c1c747ca383cdb8eaa2e793165dd2973fab85cd6469c6fd4ea4f33e7ea3bd1534f9b18d46546e242a3af6ba9b23d224add4be0ef0793bf5e2232d2eb7ade987e64c59bcdad86cd5130e8d054ddf0726496ba09a726e70af8892d718bda399b27a9c59ffc9a56f4d38d41d93f83fea1f48feee740d2b575d03"
+        },
         "parties": [
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         ],
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+        "q": {
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+          "value": "ab088604feb5f24e9daadde659a036afae60c66e93fd1843ce00147e7f3e04eacfbb37b14b448d95abf85a0616b253423b42bcabf856ea063f7bf6d80796c0c0e2a58b26708985f6fdb7efae45b4b4361ce726527f3e0a99065890194fee4f23debab7e222c5bc58b252d7b665bbbcfcdec81dc1a30082130404cdd7b165db74d28f1df67bbf79a43d8a85edbeacc8314760acaea0aff0ad9a5c997c086a3bf86fe1f68100235bd7565ce6f7d56dc8c638de7bbb9654282e88b8823be043f2d7"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 9,
         "public_shares": [
-          "03809427ea70b35c20ba7eb620c80a2073d5cf2baa4d3d4bbda1b693aec212063b",
-          "034400476babd5fb24897d3a0fe3161968090c345e42f0bccb3a161c922f8a5685",
-          "03a65039c695a36147c90fc6ca4fd303cfa270f3e21eb769368d10162c142a607a",
-          "0375101b55a87f3b6a6a234a95c551a03b5c730cd7271a68235d7bfdb3a31a2019",
-          "02d0415588c1658671fa51c7959109d1c8c2b9ed9f7b7460422f80f446a3d88c48",
-          "037eefd01cb5c6394224a76a778d4765badd761838f89b3a3ff464123698a9258f",
-          "02c1d8d5347964a493a0d99c820482d846666e9e82c15378a80967b6b5d127206c",
-          "027ce4006aa0829f92593799fbd928e0ea0f562d277de7c342cc3cbe16dafb4a9d",
-          "02c2cafa10f06cc3c28df5ba8dc36351dbd18cb222586109b646afce2d394afe95",
-          "0337521abfb72074f9f6499040fa09781496dd3daf0bbda5230c426beebc56eb06"
-        ],
-        "shared_public_key": "0215b47af0583ddf01c064eb3bde8a264152df005fef4ee568dabf5f2bedc890e0",
+          "038700daebb1b3a0f0f266b7543118bb33e541e05f9a9ccfddf1eb266330b04caa",
+          "0349b223a60a19c1af5ded5bcc121cba692875d717ba6dabac763231c31d92269f",
+          "026abfb78b78776ea9e7cd50995ee89f4a6fe6ddab4538daeb4329d7ebd2fe984e",
+          "03c6df256b45c708aeab339f43b9e7b9294695f4e2c841671b66713e08d7d8579e",
+          "03ecef0218abfa9e286ae1b5b88780e22e4d76cec55c91f867a296885b1e6392c7",
+          "0332854deca084887cb3e2d19142bb3af8b9cded4debe95e161d3731c78ee63629",
+          "027c3c984c6d870785bc3c00137bb931588fd8e75e81973ae9f1d5aec0ca86b543",
+          "026f41c946b23071b7152cb90fc8f05d4f6be307362786a55166d85de115694988",
+          "03faeca0c8caea9b49928431511933e2f6be5c60f8b4b0d747da6bf629929bbb2b",
+          "039a6a355bcb654121aa028ffce7e8bc8f5884c90f8a310b5aebd3cb0560d548ac"
+        ],
+        "shared_public_key": "03a7123c971542f70a9e74ea297bca757e88b2f8d12bfe474f3600ef83817a9532",
         "vss_setup": {
           "I": [
             {
@@ -10495,42 +19795,75 @@
           ],
           "min_signers": 3
         },
-        "x": "ec3c5d17d201174694c52a1a8f36a680055f9fb08986fc5e8ccab1a040cf83bb"
+        "x": "673d0832a7d77d8ad12699566fb07391dbba7dec1f7641407d032a7816df4ada"
       }
     }
   ],
   "t=Some(3),n=3,curve=secp256k1": [
     {
       "aux": {
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+        "p": {
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+          "value": "d906deeb494aea8900cdf40572910d3f705520945820fbeb2819d864dce6965a2758a5633603f1960b3f2615e2786dea9848c2b77ba1d5ac54a7bd7856a27dcaf12a76ef4dd7ae8b772540d121013e69f2699aff7bc9116b3d6424eb8c4f3782b3f9e413c65f02626f26f7a8577dbffec1200aca97c94ded4e79cc7869122d66de5f1a2e7224e10eefa77b90097712ddb691e2c1a7fca158bf288da890dc924e0500128de240313a96b92e347c595457640f3413f2e37eb2c2006eb8b5bfb92b"
+        },
         "parties": [
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         ],
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+        "q": {
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+          "value": "f7eed8981acd39fa619b1df7c115591702fad8a87b386a7b405c3de1ad66aebcc6bb1a475b029a2204fccb9bafe518adf62c4a8331673bfaaac42455259e55fc1c0d58f685c7fd0d530a5e68da7482744f6af69eaecd3dcac223fd6a25c514c53c7652b2ecfaf960b1212f5e41a8259494833caf65197dec05afee1581e83eb0d1ec8428628f3279707ed584fd5c94e8d5fa630262bf16395ccbbdb24e8f9d0278196abcdd01b97fd3448b23d138dc957c4e38389eeb093aabe361c3e5ce8d47"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
-          "02eba4540f9b4010f6786f2f2f4e60692f749a2c8bdb18077cf34b2980ad20ce0f",
-          "02cd4b08e3bfc5fdda9d2b30b3487b192a9baa5dc604631b5d6f993b9432f7a926",
-          "03ef0312fbe2baf623e4882c084e162d50d5c9251c30d5efa7e4df06ce4b8d6537"
+          "02f7c7588dc7ddb302a855f2629527628b56ffabee33879cf27a42ee5784187027",
+          "03bc4d4a461b540570b735d1eac1256625f82de7d871ce7d6a79d22251dee0277e",
+          "02ed210d574f2433f65d7b9c0ff8fa7dc2e8dba427294efa50e1f3e47b2cf10cb6"
         ],
-        "shared_public_key": "023aaba9ff5d0cee536dce22898378a3efa015887025176b8eb7d96376d47a7f99",
+        "shared_public_key": "0356fb4648322fd85eb7d86e82d80ed74b85e4a6ed88df4202ce9853a3d1c04c62",
         "vss_setup": {
           "I": [
             {
@@ -10548,40 +19881,73 @@
           ],
           "min_signers": 3
         },
-        "x": "e7dbabc4754b051e48e721f402652858f9a72e49c7634c1fcbcb21a5efdc883c"
+        "x": "309ff2e66bbb12b55c800b8057396fddf84f7990c2b87e8e733991adba3836be"
       }
     },
     {
       "aux": {
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         ],
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+        "q": {
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+          "value": "e450b2f8a930c60deb56716d79d04e60b46999ab4f9518091bff0611551804c27103dd84327a78afa9e5f5b52d3f4b9c2ad98dd5ecbc2794a35df7f15536679b4121c194c8563340467213f059c5ed6b9ba40002da25e68200c590cd2ee7e4ae2666ccdb5b2433c62409bffc298e238ba09ff19c1e5a7cb13ccd83f090e833bb9203f72f72f281e3fb4dbffcbbd0b8df1997b631eb9500b5d9b9ef48bfaa88ad2d06fd164d15eeb34df7fe4eb7dc1b2a8c6c01b7f56350f2c57f8e8b18992db7"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
-          "02eba4540f9b4010f6786f2f2f4e60692f749a2c8bdb18077cf34b2980ad20ce0f",
-          "02cd4b08e3bfc5fdda9d2b30b3487b192a9baa5dc604631b5d6f993b9432f7a926",
-          "03ef0312fbe2baf623e4882c084e162d50d5c9251c30d5efa7e4df06ce4b8d6537"
+          "02f7c7588dc7ddb302a855f2629527628b56ffabee33879cf27a42ee5784187027",
+          "03bc4d4a461b540570b735d1eac1256625f82de7d871ce7d6a79d22251dee0277e",
+          "02ed210d574f2433f65d7b9c0ff8fa7dc2e8dba427294efa50e1f3e47b2cf10cb6"
         ],
-        "shared_public_key": "023aaba9ff5d0cee536dce22898378a3efa015887025176b8eb7d96376d47a7f99",
+        "shared_public_key": "0356fb4648322fd85eb7d86e82d80ed74b85e4a6ed88df4202ce9853a3d1c04c62",
         "vss_setup": {
           "I": [
             {
@@ -10599,40 +19965,73 @@
           ],
           "min_signers": 3
         },
-        "x": "dcf0ee88f268a765d8cc1c77dc35f344e113f0d9803a992fbb21c32c93075301"
+        "x": "9ed0734850dbc3a62cf972d041dc5efb48cf2e17f6cee3fd999a863049fa4c6a"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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           }
         ],
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+        "q": {
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+          "value": "fbcc2b4034785600b1621fd0a65fa9be6cd1031e7bf1315ad0dbb0c3075f45b474760b2c92e0a12a9b1218e0a79f6bddfdd1fc5e5409ed9199618be33cd253705da47209ad208d30914ba847ec71277fa427b5ccbc8ba677900d2328d5fcd37c3ad03251fdfbcce306b9aac4fa5dead099ba7dbbc8abb759e98022bd34cfc62b8bc33f63dbedc846ee3648a063cb2090312f2200523d8ce0a6400a1ac5226bf4fa6fa690cc1fe8d6a4ee9efe736b9a4d5bf766fa66274904e162c0f65f0e575f"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
-          "02eba4540f9b4010f6786f2f2f4e60692f749a2c8bdb18077cf34b2980ad20ce0f",
-          "02cd4b08e3bfc5fdda9d2b30b3487b192a9baa5dc604631b5d6f993b9432f7a926",
-          "03ef0312fbe2baf623e4882c084e162d50d5c9251c30d5efa7e4df06ce4b8d6537"
+          "02f7c7588dc7ddb302a855f2629527628b56ffabee33879cf27a42ee5784187027",
+          "03bc4d4a461b540570b735d1eac1256625f82de7d871ce7d6a79d22251dee0277e",
+          "02ed210d574f2433f65d7b9c0ff8fa7dc2e8dba427294efa50e1f3e47b2cf10cb6"
         ],
-        "shared_public_key": "023aaba9ff5d0cee536dce22898378a3efa015887025176b8eb7d96376d47a7f99",
+        "shared_public_key": "0356fb4648322fd85eb7d86e82d80ed74b85e4a6ed88df4202ce9853a3d1c04c62",
         "vss_setup": {
           "I": [
             {
@@ -10650,42 +20049,75 @@
           ],
           "min_signers": 3
         },
-        "x": "4799d68a6cf0e34bb817684036417c1cc58c325f0b1efc07fd44c9efd157b182"
+        "x": "998cc2a54d9c34f44fe6c694fba56986c8e3a7f3b203fc8705bd893962cec182"
       }
     }
   ],
   "t=Some(3),n=3,curve=secp256r1": [
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "8d8106e432d6002fa9ecd2449f6e0013486126232f3b295557f9bc18218685b17062fab2469153316c5bf64f96154bb65a9cee84d60d9505f6fe8777961c3be48bb6e2628483ce9679a4cb8212e69f18fdc40028418322f7f2b62b837fac2ace435962e43d249226ad1bbd3e0bce5ac65c83cc72d4d1b8f2ccfa3a875cb153276f171071ebd6714b719039c2f8f507b664c4d12d8edbb14359c7c28ce09dce7fc0dde4e9423641157a09911a0dbdacaca1d866ed7ef3255e8fb3523626486ab7"
+        },
         "parties": [
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
-          "027b983d84bff8e85a67b4dba6374e2381df2e794c6932fd5e64f52c68bdc71337",
-          "030c11e05d9cdd44c8fea81957bf1bd83c3751b52ade2cb6e03c1e3900db87d129",
-          "03a3294469cff9eb494383e55c7235d2b16a0e376a6bf7d50f960d34d0ab9f8070"
+          "039e2d7de3b5d0803e850a9ce783be310549458bd61d5f933e22c130e542f40df2",
+          "03cd7391811ebaad9b171af7c5fdf98d47514da204e886051f0e2e8b942b5b2b01",
+          "03e9a7484453fc1f181dea25d2125d641eca2221c7300b845cc8c0a963a12310ce"
         ],
-        "shared_public_key": "039af9a8817d7eb626489c82be8127e26b0a10821f3baeb808e637beab144eda94",
+        "shared_public_key": "0396c42fac2d74d909ca0aba0b3d0be75b4a41ca8344843577c32ab7bd92055762",
         "vss_setup": {
           "I": [
             {
@@ -10703,40 +20135,73 @@
           ],
           "min_signers": 3
         },
-        "x": "811c42f79cf90e1ed3bbccbe86c603c1dac7b479db8b0027f7a4214bf7ac1783"
+        "x": "5abf6083c5aa6b9f9e4e05da27aad68c857388658e0be76f1c64c6c589e9cf76"
       }
     },
     {
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+            }
           }
         ],
-        "q": "c21f7baf2ed2ea11b21da2c64e24984b69c0fe7f1216d70763477755262878fb96bb68b0ff38a601d95c616c20ae21454a35b0c8c97e8034ca7edc0aa6317d4190cbbef898f63165d4edfa36bd99c09df3ce850a26ecd1504027795345e0898c75d28f37440e5719dbd279e1a38584e07d7d9d1f483293e5fbe8a98318d7c2f042f3e9756cd209a865524ead7258463130f5afb57b2d3a680c6bf9a07783dc53f2a36dfaefed3b11bb20cfa0be24756f6d5d6538346ae95d6a5bda64c0b0ab9f"
+        "q": {
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+          "value": "fa886241d254406a1a87be83109f51819564abd1d2d18c13ca9f581aa71e6b60149b4c16a655039e186a8f62d27966f26a9aa8638cc7d49caf7dffcfda969b312764af1b6fcf90f3d5bf57eb093165960eeedb147ab17540da99381ed37820d742b27ffd7477f67094cd6390848aff2b09231ae8b8ad3e2ea965a4df11d250a3c15b035843f1141da86cc435512e531459cfb6c7ca16b2e5cebeac5f0917ca0482615832a473a2f234a91d4ed0c1eb9c5ceab2e709c526e130541f24f34eee27"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
-          "027b983d84bff8e85a67b4dba6374e2381df2e794c6932fd5e64f52c68bdc71337",
-          "030c11e05d9cdd44c8fea81957bf1bd83c3751b52ade2cb6e03c1e3900db87d129",
-          "03a3294469cff9eb494383e55c7235d2b16a0e376a6bf7d50f960d34d0ab9f8070"
+          "039e2d7de3b5d0803e850a9ce783be310549458bd61d5f933e22c130e542f40df2",
+          "03cd7391811ebaad9b171af7c5fdf98d47514da204e886051f0e2e8b942b5b2b01",
+          "03e9a7484453fc1f181dea25d2125d641eca2221c7300b845cc8c0a963a12310ce"
         ],
-        "shared_public_key": "039af9a8817d7eb626489c82be8127e26b0a10821f3baeb808e637beab144eda94",
+        "shared_public_key": "0396c42fac2d74d909ca0aba0b3d0be75b4a41ca8344843577c32ab7bd92055762",
         "vss_setup": {
           "I": [
             {
@@ -10754,40 +20219,73 @@
           ],
           "min_signers": 3
         },
-        "x": "d442360bc5979481149b82cc9aa7b67090bd9ccd6acd9facf703790a690947fe"
+        "x": "648fb74f8a655c184705f1ed5355a445ab76855ebedd71428c8cfa5ff21f071b"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "a0604682daeed33194d2e9dcb4c1591e7eb58ff85e7bcea0615774600d808430ca5fc7bbcacfd15d2ddbbe8d4af0e64057a737cd58b0cdcbcccabb2d21ad3195f9217bdd43e8d94c9b8853ad17a629cf25e9071835ddcd20daa7e1689798d03fcb377cec1d531022a52601345489d8111afbb6a509e028c7c41f97ad6977d59531e475924013abbb532ba99b4bfbed287f6ab13424d020d7dddfd5bd5d7e138bb3b979fcbe40f6c3f2da6caef970e9e370a082c84e5c508056505411fd547043"
+        },
         "parties": [
           {
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+            }
           }
         ],
-        "q": "9a7b5520143b4ce9c58ce72be0304864ea531be7e051f67aa2e12a3d568c970aedcb23f058ebb11d057de98914544bd5ba52bb6763759cab9f661fcd972cdd721748b226fa5ccb2a057843aba0909c61d8a832dfcb8040b4d86332ab5d00d5099ecd2a3908cd56c1104be7539204bd5e88aa3f4e9b83abcd05309bdcb335aff0ab9dd687fb3bc3226103296dc0085f286ecbf8fd33df32dad534032b7394bd6f94258a1249043e67dbdfe3ed87c7d0fe170d680e52ba17f8bd7820b9d8cca72f"
+        "q": {
+          "radix": 16,
+          "value": "ca2f12dbbf6728151695ee96c0f80eaae8ad1048396f3a3a12be852f42d7a8d7bc08132ec811da1fbd66aa9fb3b0f095e879232a944a99ced9547c3b99ccec6681a6ed109f4816a5d74878b04e97026827e4a0a15d0ee8b0ef48729cc1a91224c9f3b6f125adba7f957725055523a4ab33079248f4e68f82f5a4b173889b281705b77831a5e74786d20a361408ed34dfd59f2ae57604e644b102eb8f76d8f9bac3aa87b869fc62748fb8ce6b8c5af3c5e819b5d568f9ae15aecfa0ca62e7ba93"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
-          "027b983d84bff8e85a67b4dba6374e2381df2e794c6932fd5e64f52c68bdc71337",
-          "030c11e05d9cdd44c8fea81957bf1bd83c3751b52ade2cb6e03c1e3900db87d129",
-          "03a3294469cff9eb494383e55c7235d2b16a0e376a6bf7d50f960d34d0ab9f8070"
+          "039e2d7de3b5d0803e850a9ce783be310549458bd61d5f933e22c130e542f40df2",
+          "03cd7391811ebaad9b171af7c5fdf98d47514da204e886051f0e2e8b942b5b2b01",
+          "03e9a7484453fc1f181dea25d2125d641eca2221c7300b845cc8c0a963a12310ce"
         ],
-        "shared_public_key": "039af9a8817d7eb626489c82be8127e26b0a10821f3baeb808e637beab144eda94",
+        "shared_public_key": "0396c42fac2d74d909ca0aba0b3d0be75b4a41ca8344843577c32ab7bd92055762",
         "vss_setup": {
           "I": [
             {
@@ -10805,54 +20303,105 @@
           ],
           "min_signers": 3
         },
-        "x": "04c22fa4c7c58f67bda9009097815d4b0c9a2bd2b3867ddb87535ced9bbbc28b"
+        "x": "7a97cc8826ea4ec92c9ffc3c3d3125a6007e24efeb38eaa9eb59ff27eaae6864"
       }
     }
   ],
   "t=Some(3),n=5,curve=secp256k1": [
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "f372bd1a07da4492d485314c9c358eea9e4b31d27f9fa2d87507d75b1a2ede1a96388fab8215562bcbd97a248aafa067f60006e3cde5fda87fe0ca91c4825d2c666e03ac48a9e544b49383281f663f2a0d38e27ad9b6b699be2feae34a347b9514dbcd48e05ba3ae78509bfb6639a5b8484133c5526aa5a095e6cfe432396203de018050a1626f0a40d8eeb25366226d88ad0a3361c7b126e92d1a66617458989e535e3a1a7c3b8a905cb9935d97c84ece8b9350aee028ad4f7a7254ab23dacf"
+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
-          "031fc477a0fe31ec6775caf19029a5751412ffdfd9fdd247b74e9527589bee1d57",
-          "03dca1a0c86ab887fcc5935d3d24ae90402d03237050a333feec9ce88877c4b8d5",
-          "02b0c68bc96f4431a039e81390da573b4e82f5f2f7b9bade35ce0bbd6ca2fccfb9",
-          "03d2ea57d55e2ad152286461148875a8fe12a71f035abcaa0f280bdb34a25795bb",
-          "03fe7b69278314ab38e8893c5998089824e6b8e1e3ab158353deb67797a1f826a8"
+          "036ea70aaf86709f3b0dec6b985eb3899f79c466106eb7de9b9fcc62f1b7523922",
+          "0325b603b3ac51f07c7af66f52e07da79b697dae1fa6d43cf437af91f2ef0d8efe",
+          "031f74541d61f692b80b464c3c02424c88ba50a96e0e6f8d785acb2bb5e0d3e62d",
+          "0359af7df01e1b5f2615b9e3dd358823861ed1044f78b0ea4cf4ce1b2d71678b3a",
+          "02bbf3a6a7a2c9d549d4295774b4c5c1166ecf01ba7825d74f2844b41e8432122e"
         ],
-        "shared_public_key": "02644475ff75cef8f226c66386bebe8e2f2839f5f894b1c9f6d6cee3834a08cedb",
+        "shared_public_key": "03776e5f4d7382e91fc84cbe39b85b2f4947254b06cd46140aa29c96958e6d0d33",
         "vss_setup": {
           "I": [
             {
@@ -10878,52 +20427,103 @@
           ],
           "min_signers": 3
         },
-        "x": "decd9d95cea827a4f852ce86ebfb950ccb6248fcbfff271943470eff23fedd91"
+        "x": "3dd75d9ca78347bebc58780cc011ebf2d5d8de4f4d95de28eb594e39cfb76f76"
       }
     },
     {
       "aux": {
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+        },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
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-          "03dca1a0c86ab887fcc5935d3d24ae90402d03237050a333feec9ce88877c4b8d5",
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-          "03d2ea57d55e2ad152286461148875a8fe12a71f035abcaa0f280bdb34a25795bb",
-          "03fe7b69278314ab38e8893c5998089824e6b8e1e3ab158353deb67797a1f826a8"
+          "036ea70aaf86709f3b0dec6b985eb3899f79c466106eb7de9b9fcc62f1b7523922",
+          "0325b603b3ac51f07c7af66f52e07da79b697dae1fa6d43cf437af91f2ef0d8efe",
+          "031f74541d61f692b80b464c3c02424c88ba50a96e0e6f8d785acb2bb5e0d3e62d",
+          "0359af7df01e1b5f2615b9e3dd358823861ed1044f78b0ea4cf4ce1b2d71678b3a",
+          "02bbf3a6a7a2c9d549d4295774b4c5c1166ecf01ba7825d74f2844b41e8432122e"
         ],
-        "shared_public_key": "02644475ff75cef8f226c66386bebe8e2f2839f5f894b1c9f6d6cee3834a08cedb",
+        "shared_public_key": "03776e5f4d7382e91fc84cbe39b85b2f4947254b06cd46140aa29c96958e6d0d33",
         "vss_setup": {
           "I": [
             {
@@ -10949,52 +20549,103 @@
           ],
           "min_signers": 3
         },
-        "x": "9c0e749555aae55416364aac9dcb3cd169bbc8c25a1ae7d97918e5d1493ab157"
+        "x": "e43ca81908ec54c0b9576a48ccc1e56217cc4aac5c3ee0d25681f2ec967186a4"
       }
     },
     {
       "aux": {
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+        },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
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-          "03dca1a0c86ab887fcc5935d3d24ae90402d03237050a333feec9ce88877c4b8d5",
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-          "03d2ea57d55e2ad152286461148875a8fe12a71f035abcaa0f280bdb34a25795bb",
-          "03fe7b69278314ab38e8893c5998089824e6b8e1e3ab158353deb67797a1f826a8"
+          "036ea70aaf86709f3b0dec6b985eb3899f79c466106eb7de9b9fcc62f1b7523922",
+          "0325b603b3ac51f07c7af66f52e07da79b697dae1fa6d43cf437af91f2ef0d8efe",
+          "031f74541d61f692b80b464c3c02424c88ba50a96e0e6f8d785acb2bb5e0d3e62d",
+          "0359af7df01e1b5f2615b9e3dd358823861ed1044f78b0ea4cf4ce1b2d71678b3a",
+          "02bbf3a6a7a2c9d549d4295774b4c5c1166ecf01ba7825d74f2844b41e8432122e"
         ],
-        "shared_public_key": "02644475ff75cef8f226c66386bebe8e2f2839f5f894b1c9f6d6cee3834a08cedb",
+        "shared_public_key": "03776e5f4d7382e91fc84cbe39b85b2f4947254b06cd46140aa29c96958e6d0d33",
         "vss_setup": {
           "I": [
             {
@@ -11020,52 +20671,103 @@
           ],
           "min_signers": 3
         },
-        "x": "6c4cabb7d3aabb5a702957d2d560bbc4cf3153affc6398d4136adb8b574a9a50"
+        "x": "68f69967a420555949cac8a9af9c8013e778d5c813b73e5e31610bbbe3ad44d1"
       }
     },
     {
       "aux": {
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+        },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
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-          "03dca1a0c86ab887fcc5935d3d24ae90402d03237050a333feec9ce88877c4b8d5",
-          "02b0c68bc96f4431a039e81390da573b4e82f5f2f7b9bade35ce0bbd6ca2fccfb9",
-          "03d2ea57d55e2ad152286461148875a8fe12a71f035abcaa0f280bdb34a25795bb",
-          "03fe7b69278314ab38e8893c5998089824e6b8e1e3ab158353deb67797a1f826a8"
+          "036ea70aaf86709f3b0dec6b985eb3899f79c466106eb7de9b9fcc62f1b7523922",
+          "0325b603b3ac51f07c7af66f52e07da79b697dae1fa6d43cf437af91f2ef0d8efe",
+          "031f74541d61f692b80b464c3c02424c88ba50a96e0e6f8d785acb2bb5e0d3e62d",
+          "0359af7df01e1b5f2615b9e3dd358823861ed1044f78b0ea4cf4ce1b2d71678b3a",
+          "02bbf3a6a7a2c9d549d4295774b4c5c1166ecf01ba7825d74f2844b41e8432122e"
         ],
-        "shared_public_key": "02644475ff75cef8f226c66386bebe8e2f2839f5f894b1c9f6d6cee3834a08cedb",
+        "shared_public_key": "03776e5f4d7382e91fc84cbe39b85b2f4947254b06cd46140aa29c96958e6d0d33",
         "vss_setup": {
           "I": [
             {
@@ -11091,52 +20793,103 @@
           ],
           "min_signers": 3
         },
-        "x": "4f8842fd48a7a9b8062bf5f992bc11e6fbc2e9c5a6d93a09123cf02d4e2e987c"
+        "x": "cc053188791f49886db2932f68a1bc05ba3c396fd2903743fb9b55c157d72c7f"
       }
     },
     {
       "aux": {
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+        },
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+            }
           }
         ],
-        "q": "e8b6edb93302835d8184a6a309cbb079d87f1a060adec7103ce15d9db01efc61e28b281e1656856a6f291e343443e89cdae23a2811d902f7638e3c2d6999153e08a99420d8e14aa50132a4020db4f3edfc4913bc7af35127ff2ce3842e68226be579f10fa5aa05273584d378aa7ea93de82b82b37844d438e96d4e72239e19d0eed4bdd033c4d599cf5ed250567609874c97f9deec5589765a0762207ae38bc5d9adb78e90651368450da1084a4462dc4a680efb775ba848b6fa7665d25c0e73"
+        "q": {
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+          "value": "f5fddb1cd2e494dc926b72033ce32fb05c52883264f663850b24a4a30da3484ea340914fe437fa459e7de5bb8898a690d34ebf242a33311c46d75e2b9b75d7f91a9cb6a312cd42f446a8240b044075674d15828826f4719edc9fee347eb8b3d848a2fca654369cb4207747654c0ebf3419d8c75133f5a152825d3edd6ff5ff228fdc814c8073d4eac269e8d1da0027f8b4572129c3b06824da6899315fc5183be348edc78c48ff338328ef4f3606fe7439119388f766edc2b715e53d70f88643"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
-          "031fc477a0fe31ec6775caf19029a5751412ffdfd9fdd247b74e9527589bee1d57",
-          "03dca1a0c86ab887fcc5935d3d24ae90402d03237050a333feec9ce88877c4b8d5",
-          "02b0c68bc96f4431a039e81390da573b4e82f5f2f7b9bade35ce0bbd6ca2fccfb9",
-          "03d2ea57d55e2ad152286461148875a8fe12a71f035abcaa0f280bdb34a25795bb",
-          "03fe7b69278314ab38e8893c5998089824e6b8e1e3ab158353deb67797a1f826a8"
+          "036ea70aaf86709f3b0dec6b985eb3899f79c466106eb7de9b9fcc62f1b7523922",
+          "0325b603b3ac51f07c7af66f52e07da79b697dae1fa6d43cf437af91f2ef0d8efe",
+          "031f74541d61f692b80b464c3c02424c88ba50a96e0e6f8d785acb2bb5e0d3e62d",
+          "0359af7df01e1b5f2615b9e3dd358823861ed1044f78b0ea4cf4ce1b2d71678b3a",
+          "02bbf3a6a7a2c9d549d4295774b4c5c1166ecf01ba7825d74f2844b41e8432122e"
         ],
-        "shared_public_key": "02644475ff75cef8f226c66386bebe8e2f2839f5f894b1c9f6d6cee3834a08cedb",
+        "shared_public_key": "03776e5f4d7382e91fc84cbe39b85b2f4947254b06cd46140aa29c96958e6d0d33",
         "vss_setup": {
           "I": [
             {
@@ -11162,54 +20915,105 @@
           ],
           "min_signers": 3
         },
-        "x": "45c13a65b4a1b06cd83e2520d5dd3f37ef708b03597bcb78758f23b72de6abdb"
+        "x": "0d68707b87e9314e250ec9d9f7d1993a1ab8bbd63a388b0c358c13e35282bb2c"
       }
     }
   ],
   "t=Some(3),n=5,curve=secp256r1": [
     {
       "aux": {
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+        "p": {
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+          "value": "f84ce8d3b5d6b39a12aac5f3890c057bec19ad8b89d664b952091bad2e34b236310ca16682f735e7a7a9d1a5bcdd2ae907da8f8f84cfcc6bfcccd3d073583b8a61fc7688ddc4691e3860329663d8ac64c02ebb3b5886af5eb6509af61797cf5060bd66c3fc5f2a8f914c41bfe82e426d9f89b391f8f07960d793434f423295054c828dac60b063ae040802e005759de47261acb6d80204efba2b24ed9a067f00e0a9db14aa5761fffd2c2533b89ac7ad5dc01d3838c44ed42987c88a24a4081f"
+        },
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
-          "03256c46a387077409968624db29aece0c1486984b8089cfb5a138176ce0cbaa4b",
-          "03168c3dc413afb22310e2344a61863a37df9fa565fdb7dddc7767c353d9ae5c85",
-          "03edbb466c32384b3a5cc57cca5973ce497b38828c8e9e82301e686c3f61554c71",
-          "0267c632d031f97675518e9271d3ff103e3cfa00bed6555067b7358dca35af725e",
-          "02e6bb90eb30c519f8d2b662bfbd661cc9630d66291b6dcf79e96025176fe83fc3"
+          "0220b4d71266a5ea92147b0f0d40c88075a884c810d206167e3f9a24ee72af2d91",
+          "03a15ecacde21cab9b63f577112ec1e1613878a086c925842ce64b6c749197688d",
+          "0369271603314b9b30ccd1338e6de53a60d246912389d27edf4f95ec62babc351f",
+          "02eeb814eabc17ed3c8be88be527cc45a60b4537500a5468036084b7cb114c21e3",
+          "020750db343dda555de7f1d4165636d8f73be65783b0a3c55d8cf875cb15b098aa"
         ],
-        "shared_public_key": "02cbc67e5f1cbd84198ea18e4185d35394f3f5f319bd3f779fc34cea9bc7884642",
+        "shared_public_key": "02b26fb6a3a15b3cd9bd7e22d787c3af3e578d97c58f683850ff8d5597cbddfbdf",
         "vss_setup": {
           "I": [
             {
@@ -11235,52 +21039,103 @@
           ],
           "min_signers": 3
         },
-        "x": "5be8623bec2778039fb7a81180f1d9f6cbb09d05beacb28547ddb1ee3cf433e6"
+        "x": "0fa4cc174443c0f41c492976013fb0f09c04f223c713f6686461f4fb560ba481"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "d56de04e186e439a379ca401bb059cc3d998af5d95c401e1002c6d662e2b59cb4de1ef8b8be2fadb3475ead0385a622a1bb2c25c9ba5a16999780edb8494368334baa40abd3fc4d86d89a4738c2ac3f8c91f55e82e02c5f6c410565c7bae616bde317a05341d24b825a0c2f7b3f6784bbb58b4d224ae21e8c1e6b6a7dc10d65a5ac5cbe78f174f9a682daf19cb2cb7722c67b7c2567b2f69fb4a354588aaa36c5bce06035c699063219679689d10d16f99b113bee6998ee341921b9c4768f97f"
+        },
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+        "q": {
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+          "value": "aa3da8aaa3f2a2dd748cc11520c8a45c51904abb124030b4fe9d7e3b7e1e5b9a1de8007d92d09b0b56912a96d348871079a3d52aec748c2fb3acd15fa631372649b7710578d7a2e419aa933a447dd33f718f7d66bd362600a5ef2d1dbe14f267bcb86b85d4a57e05fae1bbc8ef649851d73e078630aa16a96aceeded0bfca4b6f100fb7c9c271aa8d0e9c7936a858a1dc2ab77112c6df61bc2d2d2119b639792aeed33baf00cb160bdb6caeff834a9e9650f9615e9c608bd14d69e28ebc77263"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
-          "03256c46a387077409968624db29aece0c1486984b8089cfb5a138176ce0cbaa4b",
-          "03168c3dc413afb22310e2344a61863a37df9fa565fdb7dddc7767c353d9ae5c85",
-          "03edbb466c32384b3a5cc57cca5973ce497b38828c8e9e82301e686c3f61554c71",
-          "0267c632d031f97675518e9271d3ff103e3cfa00bed6555067b7358dca35af725e",
-          "02e6bb90eb30c519f8d2b662bfbd661cc9630d66291b6dcf79e96025176fe83fc3"
+          "0220b4d71266a5ea92147b0f0d40c88075a884c810d206167e3f9a24ee72af2d91",
+          "03a15ecacde21cab9b63f577112ec1e1613878a086c925842ce64b6c749197688d",
+          "0369271603314b9b30ccd1338e6de53a60d246912389d27edf4f95ec62babc351f",
+          "02eeb814eabc17ed3c8be88be527cc45a60b4537500a5468036084b7cb114c21e3",
+          "020750db343dda555de7f1d4165636d8f73be65783b0a3c55d8cf875cb15b098aa"
         ],
-        "shared_public_key": "02cbc67e5f1cbd84198ea18e4185d35394f3f5f319bd3f779fc34cea9bc7884642",
+        "shared_public_key": "02b26fb6a3a15b3cd9bd7e22d787c3af3e578d97c58f683850ff8d5597cbddfbdf",
         "vss_setup": {
           "I": [
             {
@@ -11306,52 +21161,103 @@
           ],
           "min_signers": 3
         },
-        "x": "d8eb2166735c8ca3a0f09a2429a58844b53317280a113fd90cba48f544e2cba3"
+        "x": "0a18cdd24c32518f90a511855243c27ce0c00f807cd3a2603e275545a7fc41da"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "8534421c5b6265f43b955bafd4e8c7e74985a19921aa8b12567aedfe8faae2b6b337d09ef6bc2a1621b0277f0563a61ae665a6bd366ce5313ef2cee4140aa37bb7d6f2ae8493563a50372b8719f628bddf887738b7254a0f87ff0984e9a90f68c7d8557950bb07e855733031a9e95ace549a55a323bdef95b94ff68dd8f3276c19ab9b34903b9d5ab0aa492a3d341608a27975030810dbb89cd7840b7ef34468c9f4245f185c0b83f69c7d744c16c1b0fdb485c13b24c12ac2f6804c2c581d6b"
+        },
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         ],
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+        "q": {
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+          "value": "cf497339601029f01a80ddb876090af7a932ea9d68555f19b40644e1c7ebb5ab854b212d9d1e7a30c0f1d81d9b0b99ae4efe4d176905ef9436ac270f6e30cf6f7d3aac35fa4b7a57c41ebc232d873693c141b27653438fb6e8a83b8e25541934bf0223f93bff8e27dacfceb992bedabcac87552d95d3d69862d030a3237bef8bf3b059e7995cf98ce5e710091080f52db224d736f598f1f4cb6af709cd5ca910dc2767c0073317f0cf610582589363281b95bd66d883e377ec3a38d452905d7f"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
-          "03256c46a387077409968624db29aece0c1486984b8089cfb5a138176ce0cbaa4b",
-          "03168c3dc413afb22310e2344a61863a37df9fa565fdb7dddc7767c353d9ae5c85",
-          "03edbb466c32384b3a5cc57cca5973ce497b38828c8e9e82301e686c3f61554c71",
-          "0267c632d031f97675518e9271d3ff103e3cfa00bed6555067b7358dca35af725e",
-          "02e6bb90eb30c519f8d2b662bfbd661cc9630d66291b6dcf79e96025176fe83fc3"
+          "0220b4d71266a5ea92147b0f0d40c88075a884c810d206167e3f9a24ee72af2d91",
+          "03a15ecacde21cab9b63f577112ec1e1613878a086c925842ce64b6c749197688d",
+          "0369271603314b9b30ccd1338e6de53a60d246912389d27edf4f95ec62babc351f",
+          "02eeb814eabc17ed3c8be88be527cc45a60b4537500a5468036084b7cb114c21e3",
+          "020750db343dda555de7f1d4165636d8f73be65783b0a3c55d8cf875cb15b098aa"
         ],
-        "shared_public_key": "02cbc67e5f1cbd84198ea18e4185d35394f3f5f319bd3f779fc34cea9bc7884642",
+        "shared_public_key": "02b26fb6a3a15b3cd9bd7e22d787c3af3e578d97c58f683850ff8d5597cbddfbdf",
         "vss_setup": {
           "I": [
             {
@@ -11377,52 +21283,103 @@
           ],
           "min_signers": 3
         },
-        "x": "0d78bbd775940b3e63909aa88c77ce9c5989e3681f19e8852d45369f77941bf3"
+        "x": "cef792a431f5b716f550e3e3a669589a35f4e116ed1d045bb42d67927138d51c"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
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+            }
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         ],
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
-          "03256c46a387077409968624db29aece0c1486984b8089cfb5a138176ce0cbaa4b",
-          "03168c3dc413afb22310e2344a61863a37df9fa565fdb7dddc7767c353d9ae5c85",
-          "03edbb466c32384b3a5cc57cca5973ce497b38828c8e9e82301e686c3f61554c71",
-          "0267c632d031f97675518e9271d3ff103e3cfa00bed6555067b7358dca35af725e",
-          "02e6bb90eb30c519f8d2b662bfbd661cc9630d66291b6dcf79e96025176fe83fc3"
+          "0220b4d71266a5ea92147b0f0d40c88075a884c810d206167e3f9a24ee72af2d91",
+          "03a15ecacde21cab9b63f577112ec1e1613878a086c925842ce64b6c749197688d",
+          "0369271603314b9b30ccd1338e6de53a60d246912389d27edf4f95ec62babc351f",
+          "02eeb814eabc17ed3c8be88be527cc45a60b4537500a5468036084b7cb114c21e3",
+          "020750db343dda555de7f1d4165636d8f73be65783b0a3c55d8cf875cb15b098aa"
         ],
-        "shared_public_key": "02cbc67e5f1cbd84198ea18e4185d35394f3f5f319bd3f779fc34cea9bc7884642",
+        "shared_public_key": "02b26fb6a3a15b3cd9bd7e22d787c3af3e578d97c58f683850ff8d5597cbddfbdf",
         "vss_setup": {
           "I": [
             {
@@ -11448,52 +21405,103 @@
           ],
           "min_signers": 3
         },
-        "x": "f991318bf2cdf3d6e797a99ea968acfcef69f1cef30d881884abdb35ca3194c9"
+        "x": "5e411a8ef58df1884a4ca090fdb0734921d5718bc9c0df50df00965bb8fb13a5"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "d96741bf9545f6d8422253d45a409c21110844e0b30286da56f2cd72433617b85647120c585e56f080ad4156353098f54d92f429f17e8c57b04e46cb723cd8e5807b8d413465a5ec0e4e34dab665e4fa37706e938224057791ab30b998d2e28242fa5af62547d89344a85c14bdffc04b98bac3b36eb2f8f983fd76893932bdc1a3385371528f27c022442065328eb5219f2e4294a7b2f3bac64154b78463261b4ece9e537204e766d7a49a61a7add5d3f55d9d52df347fca2745d27ea5aba6db"
+        },
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+            }
           }
         ],
-        "q": "8abc265762b007b40bb1ca975ce63bb60c68917351e62d7c893476004370b6360de3cbe32a8d1c6d1750deefe54a68a2d0c7493f19e5731879c30439f09c09ac6ffe6cebb20e814275b7034711957470e8c6b5b5719d001d5ecc7afdeb596d07b54e4aa1d24301f9e4612baca1c10c48820d06326c2ac18a1d40c148db0ff676494162c8ff185027b723868c1e416aad71a7b73d36d3e21db8a5d23e56d798784f72563f83e02f6934d079930e5ec0524e51b244b9d021dda33560c6400d15f7"
+        "q": {
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+          "value": "ffda8d38dfa72f5206e42e61fe16bbe99f9e49c2ee4f497126e0ab8b780556ffc265cfea80c9b5130cbc2a432ad6b697bb610b7bbb1afd983a3ae3f1e8ab3ebfadaaf25ffd9996fb781de563ef91d3edcb95c04145ba8ee22d714097686bcddb7d3684980b94aca1d879ea97bdf9000339f7db17628340cf899de9b20dc3bc650362b2580e49ce8785ae74354e5c8166f0a6b068e2a5ec7cdb5e0379da471049e0b3edc7e8196271b78ba3942b913540debbec4d361d2c7400183db65aa64807"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
-          "03256c46a387077409968624db29aece0c1486984b8089cfb5a138176ce0cbaa4b",
-          "03168c3dc413afb22310e2344a61863a37df9fa565fdb7dddc7767c353d9ae5c85",
-          "03edbb466c32384b3a5cc57cca5973ce497b38828c8e9e82301e686c3f61554c71",
-          "0267c632d031f97675518e9271d3ff103e3cfa00bed6555067b7358dca35af725e",
-          "02e6bb90eb30c519f8d2b662bfbd661cc9630d66291b6dcf79e96025176fe83fc3"
+          "0220b4d71266a5ea92147b0f0d40c88075a884c810d206167e3f9a24ee72af2d91",
+          "03a15ecacde21cab9b63f577112ec1e1613878a086c925842ce64b6c749197688d",
+          "0369271603314b9b30ccd1338e6de53a60d246912389d27edf4f95ec62babc351f",
+          "02eeb814eabc17ed3c8be88be527cc45a60b4537500a5468036084b7cb114c21e3",
+          "020750db343dda555de7f1d4165636d8f73be65783b0a3c55d8cf875cb15b098aa"
         ],
-        "shared_public_key": "02cbc67e5f1cbd84198ea18e4185d35394f3f5f319bd3f779fc34cea9bc7884642",
+        "shared_public_key": "02b26fb6a3a15b3cd9bd7e22d787c3af3e578d97c58f683850ff8d5597cbddfbdf",
         "vss_setup": {
           "I": [
             {
@@ -11519,66 +21527,135 @@
           ],
           "min_signers": 3
         },
-        "x": "9d348286eb0a466a2d05c70680782367401e525390a5430437c0d66f4791c632"
+        "x": "b7f5659096fb00e58f98478d581912891e2fb63a60ee7049a614772778094817"
       }
     }
   ],
   "t=Some(3),n=7,curve=secp256k1": [
     {
       "aux": {
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+        "p": {
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+        },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
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-          "023ca25fac9f2d4c5bcd2312e08cb2b7a7e573b1611729d16aed3f0835893a8c01",
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-          "02157cba21272af1023e0bab3e65111b777978f1309d867374848322797245c938"
-        ],
-        "shared_public_key": "025ea5270d7b5e1b9a45ce38548709343879c158c63071db68d1e1348a9f542201",
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+          "03a5f508a2887431f9442fb808a3efaeb4e04ae752c2ba10caeba80830137236e8",
+          "02ff6b1f57fd994e77a2007f93dc3a8724cc31c81750614e8e9ba5c4eda8f61fb5"
+        ],
+        "shared_public_key": "0233f8d4b6f59d70cac846178c0bc943781e89554479a87f5c5c56d64d2f60a44d",
         "vss_setup": {
           "I": [
             {
@@ -11612,64 +21689,133 @@
           ],
           "min_signers": 3
         },
-        "x": "5e577440a842b71b9391ad7c26baeeae2b7dab8e16cd1fa7f40e8bce01e925bc"
+        "x": "02ce5d3d1d19994273af0b65fcd74a61a453e0a0b5fd819ce0a5fe24fd315282"
       }
     },
     {
       "aux": {
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
-          "036bc3a475bc4e7794e212aa01681cfb5339e0c3879e38d21e5be9d18e24c3cb2f",
-          "023ca25fac9f2d4c5bcd2312e08cb2b7a7e573b1611729d16aed3f0835893a8c01",
-          "030964abf4a819ae1661a93ca022a40fc90f7a1e5f20b6d2b7676aa6e37b2ed2f6",
-          "031beaf765048e38dc2c056b7fc55300bd0aafb4efa8e92d359348172f3a2b302b",
-          "03e62ae059df9f35e53d358b689adb28c1f6c78b9776025d8e8762fac6c767887c",
-          "02bed1bd7d54b797a65f8ee274e3d88e48bea763457930bdaf09a296735c3dd86b",
-          "02157cba21272af1023e0bab3e65111b777978f1309d867374848322797245c938"
-        ],
-        "shared_public_key": "025ea5270d7b5e1b9a45ce38548709343879c158c63071db68d1e1348a9f542201",
+          "02cbfb052dd6acdc459e041839251320fcf4a1da5f4706e48e94402f13c8a310c3",
+          "02668bfb98de3fbbebb30a007f7b4148a08c7c3feb492e6d96a26611875b5e9199",
+          "0299205aebfbbb90ec3f7993aed691c902f2474e2c6ae6d1ea0f7d296b8749da85",
+          "033a82d6c3304918744ee6ed1153d59387751336a02b46a032eee9984f5681f3b4",
+          "02f5f73d5cb89b401e97657363447bd3f61f32e85ad133440fc49de3ddc1c4e374",
+          "03a5f508a2887431f9442fb808a3efaeb4e04ae752c2ba10caeba80830137236e8",
+          "02ff6b1f57fd994e77a2007f93dc3a8724cc31c81750614e8e9ba5c4eda8f61fb5"
+        ],
+        "shared_public_key": "0233f8d4b6f59d70cac846178c0bc943781e89554479a87f5c5c56d64d2f60a44d",
         "vss_setup": {
           "I": [
             {
@@ -11703,64 +21849,133 @@
           ],
           "min_signers": 3
         },
-        "x": "8a4a2662216956e176fad37b5cd7359f1cc39ec9670c3b9c4a70392cfc147dea"
+        "x": "641344dcf2057ab127e67d035c15871f2bf25b8bfe6cb94aada3c90617dbe73e"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
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-        ],
-        "shared_public_key": "025ea5270d7b5e1b9a45ce38548709343879c158c63071db68d1e1348a9f542201",
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+          "02ff6b1f57fd994e77a2007f93dc3a8724cc31c81750614e8e9ba5c4eda8f61fb5"
+        ],
+        "shared_public_key": "0233f8d4b6f59d70cac846178c0bc943781e89554479a87f5c5c56d64d2f60a44d",
         "vss_setup": {
           "I": [
             {
@@ -11794,64 +22009,133 @@
           ],
           "min_signers": 3
         },
-        "x": "bb8ea83c91a77e458150857771a13f99259c38e079318b0cecf536342310c59e"
+        "x": "3fb6d68feec1085e0345442cb033a7c8305b24b1326f9340af9093609fc7aee1"
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     },
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+          "value": "ab28672d5b35843cf488b81b1751f1b72632050909817a6ce44b2d90263d5bbaf15a611e07e8236bbc411bd507b0ca7cbbacd005b10b1370d85822fe842c43941d06c7005d37f411d446d2db38ff535172ca8986c1ffc9072b5efb89365f2d3818f8b7010764f7edd58961846e7076a1fbde8e57bd83a37bcd460e1a5050d7191e49099f66eaf5e2c170cf8986e03f88c224784eba564b4d19bff4d1d566f2b369bf138fafebe5895a03a88f73687524ca24a30cdd48288a1e82788d2077a403"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
-          "036bc3a475bc4e7794e212aa01681cfb5339e0c3879e38d21e5be9d18e24c3cb2f",
-          "023ca25fac9f2d4c5bcd2312e08cb2b7a7e573b1611729d16aed3f0835893a8c01",
-          "030964abf4a819ae1661a93ca022a40fc90f7a1e5f20b6d2b7676aa6e37b2ed2f6",
-          "031beaf765048e38dc2c056b7fc55300bd0aafb4efa8e92d359348172f3a2b302b",
-          "03e62ae059df9f35e53d358b689adb28c1f6c78b9776025d8e8762fac6c767887c",
-          "02bed1bd7d54b797a65f8ee274e3d88e48bea763457930bdaf09a296735c3dd86b",
-          "02157cba21272af1023e0bab3e65111b777978f1309d867374848322797245c938"
-        ],
-        "shared_public_key": "025ea5270d7b5e1b9a45ce38548709343879c158c63071db68d1e1348a9f542201",
+          "02cbfb052dd6acdc459e041839251320fcf4a1da5f4706e48e94402f13c8a310c3",
+          "02668bfb98de3fbbebb30a007f7b4148a08c7c3feb492e6d96a26611875b5e9199",
+          "0299205aebfbbb90ec3f7993aed691c902f2474e2c6ae6d1ea0f7d296b8749da85",
+          "033a82d6c3304918744ee6ed1153d59387751336a02b46a032eee9984f5681f3b4",
+          "02f5f73d5cb89b401e97657363447bd3f61f32e85ad133440fc49de3ddc1c4e374",
+          "03a5f508a2887431f9442fb808a3efaeb4e04ae752c2ba10caeba80830137236e8",
+          "02ff6b1f57fd994e77a2007f93dc3a8724cc31c81750614e8e9ba5c4eda8f61fb5"
+        ],
+        "shared_public_key": "0233f8d4b6f59d70cac846178c0bc943781e89554479a87f5c5c56d64d2f60a44d",
         "vss_setup": {
           "I": [
             {
@@ -11885,64 +22169,133 @@
           ],
           "min_signers": 3
         },
-        "x": "f224f9cff8fd2d47b292c37065190c9c460779d34d3d0df9db9d82e376ddfcd8"
+        "x": "95b91256134c424905cb60e1f931ac5b6c3d18f7014eafbaa63ebbc1652aeaac"
       }
     },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
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-          "023ca25fac9f2d4c5bcd2312e08cb2b7a7e573b1611729d16aed3f0835893a8c01",
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-          "02157cba21272af1023e0bab3e65111b777978f1309d867374848322797245c938"
-        ],
-        "shared_public_key": "025ea5270d7b5e1b9a45ce38548709343879c158c63071db68d1e1348a9f542201",
+          "02cbfb052dd6acdc459e041839251320fcf4a1da5f4706e48e94402f13c8a310c3",
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+          "03a5f508a2887431f9442fb808a3efaeb4e04ae752c2ba10caeba80830137236e8",
+          "02ff6b1f57fd994e77a2007f93dc3a8724cc31c81750614e8e9ba5c4eda8f61fb5"
+        ],
+        "shared_public_key": "0233f8d4b6f59d70cac846178c0bc943781e89554479a87f5c5c56d64d2f60a44d",
         "vss_setup": {
           "I": [
             {
@@ -11976,64 +22329,133 @@
           ],
           "min_signers": 3
         },
-        "x": "2e0d1b1c576a63e80ac18d66373e9ca9c35684bb33e624275696c0ae2745e257"
+        "x": "6619f82f5fa728722f78d323370f94da24e95b76bbc16e7cd1dbe39b97cf595e"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 5,
         "public_shares": [
-          "036bc3a475bc4e7794e212aa01681cfb5339e0c3879e38d21e5be9d18e24c3cb2f",
-          "023ca25fac9f2d4c5bcd2312e08cb2b7a7e573b1611729d16aed3f0835893a8c01",
-          "030964abf4a819ae1661a93ca022a40fc90f7a1e5f20b6d2b7676aa6e37b2ed2f6",
-          "031beaf765048e38dc2c056b7fc55300bd0aafb4efa8e92d359348172f3a2b302b",
-          "03e62ae059df9f35e53d358b689adb28c1f6c78b9776025d8e8762fac6c767887c",
-          "02bed1bd7d54b797a65f8ee274e3d88e48bea763457930bdaf09a296735c3dd86b",
-          "02157cba21272af1023e0bab3e65111b777978f1309d867374848322797245c938"
-        ],
-        "shared_public_key": "025ea5270d7b5e1b9a45ce38548709343879c158c63071db68d1e1348a9f542201",
+          "02cbfb052dd6acdc459e041839251320fcf4a1da5f4706e48e94402f13c8a310c3",
+          "02668bfb98de3fbbebb30a007f7b4148a08c7c3feb492e6d96a26611875b5e9199",
+          "0299205aebfbbb90ec3f7993aed691c902f2474e2c6ae6d1ea0f7d296b8749da85",
+          "033a82d6c3304918744ee6ed1153d59387751336a02b46a032eee9984f5681f3b4",
+          "02f5f73d5cb89b401e97657363447bd3f61f32e85ad133440fc49de3ddc1c4e374",
+          "03a5f508a2887431f9442fb808a3efaeb4e04ae752c2ba10caeba80830137236e8",
+          "02ff6b1f57fd994e77a2007f93dc3a8724cc31c81750614e8e9ba5c4eda8f61fb5"
+        ],
+        "shared_public_key": "0233f8d4b6f59d70cac846178c0bc943781e89554479a87f5c5c56d64d2f60a44d",
         "vss_setup": {
           "I": [
             {
@@ -12067,64 +22489,133 @@
           ],
           "min_signers": 3
         },
-        "x": "6f470c21acef222689dce358e811efbf12e713658bbe0e0cdd85acadd4b4f89d"
+        "x": "b0d9881bd3d1bad9804d9af069cd6143150ec91711106fc2f23a697c07eb3c38"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 6,
         "public_shares": [
-          "036bc3a475bc4e7794e212aa01681cfb5339e0c3879e38d21e5be9d18e24c3cb2f",
-          "023ca25fac9f2d4c5bcd2312e08cb2b7a7e573b1611729d16aed3f0835893a8c01",
-          "030964abf4a819ae1661a93ca022a40fc90f7a1e5f20b6d2b7676aa6e37b2ed2f6",
-          "031beaf765048e38dc2c056b7fc55300bd0aafb4efa8e92d359348172f3a2b302b",
-          "03e62ae059df9f35e53d358b689adb28c1f6c78b9776025d8e8762fac6c767887c",
-          "02bed1bd7d54b797a65f8ee274e3d88e48bea763457930bdaf09a296735c3dd86b",
-          "02157cba21272af1023e0bab3e65111b777978f1309d867374848322797245c938"
-        ],
-        "shared_public_key": "025ea5270d7b5e1b9a45ce38548709343879c158c63071db68d1e1348a9f542201",
+          "02cbfb052dd6acdc459e041839251320fcf4a1da5f4706e48e94402f13c8a310c3",
+          "02668bfb98de3fbbebb30a007f7b4148a08c7c3feb492e6d96a26611875b5e9199",
+          "0299205aebfbbb90ec3f7993aed691c902f2474e2c6ae6d1ea0f7d296b8749da85",
+          "033a82d6c3304918744ee6ed1153d59387751336a02b46a032eee9984f5681f3b4",
+          "02f5f73d5cb89b401e97657363447bd3f61f32e85ad133440fc49de3ddc1c4e374",
+          "03a5f508a2887431f9442fb808a3efaeb4e04ae752c2ba10caeba80830137236e8",
+          "02ff6b1f57fd994e77a2007f93dc3a8724cc31c81750614e8e9ba5c4eda8f61fb5"
+        ],
+        "shared_public_key": "0233f8d4b6f59d70cac846178c0bc943781e89554479a87f5c5c56d64d2f60a44d",
         "vss_setup": {
           "I": [
             {
@@ -12158,66 +22649,135 @@
           ],
           "min_signers": 3
         },
-        "x": "b5d2ccdff98b68032fe4c548779305dd7a0a48eba57c2b6eb097e855aef4fe69"
+        "x": "75f7c21b6fcbf97ef849b849916b119781fe84f151f313514787eed5e54851f9"
       }
     }
   ],
   "t=Some(3),n=7,curve=secp256r1": [
     {
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       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
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+          "0235ea3148b47178232dd6b1ea1a1c347cbc6e5b5788edb235ff57933f9d6fc2f8"
+        ],
+        "shared_public_key": "02314df6799591a53762951bc4166fc307a03f638220b853d9328c73445624e5b1",
         "vss_setup": {
           "I": [
             {
@@ -12251,64 +22811,133 @@
           ],
           "min_signers": 3
         },
-        "x": "444f2b59cea76a0b70f42ba48fd668431c949d70c48c294d0669e20f6a96395f"
+        "x": "3cbc5bbd03abb1a1bd6cc1e0e6376072d2f38eaaa1cd980297c3254e0541103c"
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         ],
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+        "q": {
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+          "value": "f0ef0296e01e8c2c11681949cc8f2239bff5fee26b4929dc793e5ce5ba909a9e40671124ba81ec6616fd41a44643df0f6434b54a15e4fa36c8b0bb545960ee0d6a4e7143835c47c9eaa80371158e7a8d6fc3db3ec9688bc992099623fea13d0aa6424c2cae5e1bef62730dc1ba18ea8c645c97e56b77bfd13de0f8b744ee552f71fcafcaabda1d89fd40d693fbc8a97575134c3e781eb67a1f4ca2efc79770d03a57492c372b1818e22b098e4618dc8b5130bc186a9679a1c392343faea1e8fb"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
-          "023a0ea6b2be5ba9b0f3337bebae3a53a5dd58c905f7adb6dd7fb20c29f07b3b00",
-          "034df6592bf4b5e5c74e18ca8309f528f36eb721b5baa2e01eb30ebfd1ab0cbe7e",
-          "02368d4f7c0c7fce4cc903503b19f28b116ca394bdc34ad97e109d6e12cacbebc7",
-          "03296e4ffb13ae5e22fc8e5404bf389fd1f562152a853169de560bac1b49fea239",
-          "035c74a1f5beeaad42c444c7f3fee34c73d8eb56e9a4bce87c23affc7f4636c8af",
-          "023d73398a1ecfe346147ccce1e66af0263b877c08d88c954ba34aa83671b59248",
-          "030959a6204f9a13e537b922298c016b46485cdc7272733d244a61f17200d91897"
-        ],
-        "shared_public_key": "029f6e4cbfc0b54fbebe9cd05d5c8b920ca759c8d289471accca4dc916888c4a21",
+          "03c0d0cfb87d9b8bdc643d37ac932d7e3f9b6ab1530b2070ae4dd60a358a8d1c6f",
+          "034bf33374f04e9fd058e72441a7d93f9a9089446d6efeb4625bf615b9fde39af7",
+          "03a8c6285efc9d48c3fa5e7e4698a9699c5ba0a9f35f8967f7863c34ad7a1c90e5",
+          "023a32d6ea14d355b7dfdf9721f7821d336f35d93573f90bf1cc09b077166562fa",
+          "02adbc802c7cd45bdd4245dd37c8b2a84f9bedd4323d198db4bc6787f4fb587fe0",
+          "02c7ea17f587fc91596565cb86f5313e86879ff371fb679dd292415ccfdb52fd09",
+          "0235ea3148b47178232dd6b1ea1a1c347cbc6e5b5788edb235ff57933f9d6fc2f8"
+        ],
+        "shared_public_key": "02314df6799591a53762951bc4166fc307a03f638220b853d9328c73445624e5b1",
         "vss_setup": {
           "I": [
             {
@@ -12342,64 +22971,133 @@
           ],
           "min_signers": 3
         },
-        "x": "b9d2d427c35b2ce9f41e7df2db2e51abba0a64ca35da4bc52f92b88b4b97bcde"
+        "x": "9e9f46c6f3d8449e538137ed5127e942bcd4ce5a3c57fd4105c4f8a2e6f9383a"
       }
     },
     {
       "aux": {
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+            }
           }
         ],
-        "q": "e032594b7c51ee7e91e856b81a5b8b2da615f5bf3560ca10491921abab3669e2267160b72dc48f405049fe886746c93d6f2b0af3d31c0947d94dd9cf65118abf7069231cdadb6ea2888c1f881a81d3094f795d759b59026c5e935b33373ce1dca740601a3e2a56b9dbe8f2e9ddfa3c254052cdc53dfeea81964eb97b9651794b4af1d6a16795d13d226fec6effe3430e4a46946cacda9f1273f6aa05bfb6d17755800de40fc50cebdb993ebee352f4a1d6e9a17f736784b2ca12cf3e68f6a00f"
+        "q": {
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+          "value": "9834d395d933022f844b883294ede08163c5bdc2a72dfa5c03109ebb6a6a12625ef398ad5ba2d4da335ffade7106c089a8452aa019262cf0918131ebcc27c6da7b313808dbfa0da85a1f7cc79a601c561ce00616b676b18f67e6a4edb51624fafba36a07bf2adc4fc73c09285282c222ec6d2c57e211b9dc656fd5b2433e04992ef772a3968d3b96416868c27381fdbe3a1ce5a356b7017732b484020bbe9cf59aab0768bbd3cc7255dd3fcf2db1f08f41b986c7442d853e2b329824386c4c47"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
-          "023a0ea6b2be5ba9b0f3337bebae3a53a5dd58c905f7adb6dd7fb20c29f07b3b00",
-          "034df6592bf4b5e5c74e18ca8309f528f36eb721b5baa2e01eb30ebfd1ab0cbe7e",
-          "02368d4f7c0c7fce4cc903503b19f28b116ca394bdc34ad97e109d6e12cacbebc7",
-          "03296e4ffb13ae5e22fc8e5404bf389fd1f562152a853169de560bac1b49fea239",
-          "035c74a1f5beeaad42c444c7f3fee34c73d8eb56e9a4bce87c23affc7f4636c8af",
-          "023d73398a1ecfe346147ccce1e66af0263b877c08d88c954ba34aa83671b59248",
-          "030959a6204f9a13e537b922298c016b46485cdc7272733d244a61f17200d91897"
-        ],
-        "shared_public_key": "029f6e4cbfc0b54fbebe9cd05d5c8b920ca759c8d289471accca4dc916888c4a21",
+          "03c0d0cfb87d9b8bdc643d37ac932d7e3f9b6ab1530b2070ae4dd60a358a8d1c6f",
+          "034bf33374f04e9fd058e72441a7d93f9a9089446d6efeb4625bf615b9fde39af7",
+          "03a8c6285efc9d48c3fa5e7e4698a9699c5ba0a9f35f8967f7863c34ad7a1c90e5",
+          "023a32d6ea14d355b7dfdf9721f7821d336f35d93573f90bf1cc09b077166562fa",
+          "02adbc802c7cd45bdd4245dd37c8b2a84f9bedd4323d198db4bc6787f4fb587fe0",
+          "02c7ea17f587fc91596565cb86f5313e86879ff371fb679dd292415ccfdb52fd09",
+          "0235ea3148b47178232dd6b1ea1a1c347cbc6e5b5788edb235ff57933f9d6fc2f8"
+        ],
+        "shared_public_key": "02314df6799591a53762951bc4166fc307a03f638220b853d9328c73445624e5b1",
         "vss_setup": {
           "I": [
             {
@@ -12433,64 +23131,133 @@
           ],
           "min_signers": 3
         },
-        "x": "12effe14a1a40b00b8c2945289ead337edfd36b576729cd9c0b044da88e05522"
+        "x": "8749c902d9498a0c9963114ca2c5adb3dc99b9dd422561c2fb07786c447066a7"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "b30c809a546ca44d43fde25dbc8c04ccc14b01a20449b75fe75decdde32befc2651a4868d9cd5267d8b48f39dc351bf683cb5bc819e2344f25769e8f714eb3e959bf83a924fd776f03703ed0ab42bc393db788a0cb78ea0e7562b45e04c4f69b0578fae4cb6e145ba6826fe2ca1815f8e3599db2c9f4cfa5c196e6ec077e823bf0cdd313837df64df9b0bb4b0af9185fb53b1ac75f151252dbc3bb05b261ffb2c7e19d0627a0c56ba83d0c43fe70a6e517066debfcd15cb98d6b2a2df795067b"
+        },
         "parties": [
           {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
-          "023a0ea6b2be5ba9b0f3337bebae3a53a5dd58c905f7adb6dd7fb20c29f07b3b00",
-          "034df6592bf4b5e5c74e18ca8309f528f36eb721b5baa2e01eb30ebfd1ab0cbe7e",
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-          "023d73398a1ecfe346147ccce1e66af0263b877c08d88c954ba34aa83671b59248",
-          "030959a6204f9a13e537b922298c016b46485cdc7272733d244a61f17200d91897"
-        ],
-        "shared_public_key": "029f6e4cbfc0b54fbebe9cd05d5c8b920ca759c8d289471accca4dc916888c4a21",
+          "03c0d0cfb87d9b8bdc643d37ac932d7e3f9b6ab1530b2070ae4dd60a358a8d1c6f",
+          "034bf33374f04e9fd058e72441a7d93f9a9089446d6efeb4625bf615b9fde39af7",
+          "03a8c6285efc9d48c3fa5e7e4698a9699c5ba0a9f35f8967f7863c34ad7a1c90e5",
+          "023a32d6ea14d355b7dfdf9721f7821d336f35d93573f90bf1cc09b077166562fa",
+          "02adbc802c7cd45bdd4245dd37c8b2a84f9bedd4323d198db4bc6787f4fb587fe0",
+          "02c7ea17f587fc91596565cb86f5313e86879ff371fb679dd292415ccfdb52fd09",
+          "0235ea3148b47178232dd6b1ea1a1c347cbc6e5b5788edb235ff57933f9d6fc2f8"
+        ],
+        "shared_public_key": "02314df6799591a53762951bc4166fc307a03f638220b853d9328c73445624e5b1",
         "vss_setup": {
           "I": [
             {
@@ -12524,64 +23291,133 @@
           ],
           "min_signers": 3
         },
-        "x": "4fa6a91e69820451bee06ec39c0bece7323b088dd4845994a1361c831b364ccd"
+        "x": "f6bbe26fb3ff81ed8f124dfedb10adc5ef294be15a4d640d6b446f6d1a09c0d4"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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+            }
           }
         ],
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+        "q": {
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+          "value": "fef8c94f1f6d31a4e9b78d0769603d8581f60791035a1892ac316a4a6e5d2d4d32080cefe1875aecadb1f80f794febb101e1ccb756a67be7d9fd9841885d45b0dbc118e4c72162d838782323269c8640fe68710aed5ac2ad9603fb6ed4389d834b92bff7ba6060da2c7a55bb4004983bb95ed7f65fb0c3f886879847357426fa4a08d87cbe950b35c546520b618286e30465619ea8837d8cccc3a62bdd60e9a466668728bba90178cfed9594b67204c2a9b899dc79094a59892e21aaddce7b3f"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
-          "023a0ea6b2be5ba9b0f3337bebae3a53a5dd58c905f7adb6dd7fb20c29f07b3b00",
-          "034df6592bf4b5e5c74e18ca8309f528f36eb721b5baa2e01eb30ebfd1ab0cbe7e",
-          "02368d4f7c0c7fce4cc903503b19f28b116ca394bdc34ad97e109d6e12cacbebc7",
-          "03296e4ffb13ae5e22fc8e5404bf389fd1f562152a853169de560bac1b49fea239",
-          "035c74a1f5beeaad42c444c7f3fee34c73d8eb56e9a4bce87c23affc7f4636c8af",
-          "023d73398a1ecfe346147ccce1e66af0263b877c08d88c954ba34aa83671b59248",
-          "030959a6204f9a13e537b922298c016b46485cdc7272733d244a61f17200d91897"
-        ],
-        "shared_public_key": "029f6e4cbfc0b54fbebe9cd05d5c8b920ca759c8d289471accca4dc916888c4a21",
+          "03c0d0cfb87d9b8bdc643d37ac932d7e3f9b6ab1530b2070ae4dd60a358a8d1c6f",
+          "034bf33374f04e9fd058e72441a7d93f9a9089446d6efeb4625bf615b9fde39af7",
+          "03a8c6285efc9d48c3fa5e7e4698a9699c5ba0a9f35f8967f7863c34ad7a1c90e5",
+          "023a32d6ea14d355b7dfdf9721f7821d336f35d93573f90bf1cc09b077166562fa",
+          "02adbc802c7cd45bdd4245dd37c8b2a84f9bedd4323d198db4bc6787f4fb587fe0",
+          "02c7ea17f587fc91596565cb86f5313e86879ff371fb679dd292415ccfdb52fd09",
+          "0235ea3148b47178232dd6b1ea1a1c347cbc6e5b5788edb235ff57933f9d6fc2f8"
+        ],
+        "shared_public_key": "02314df6799591a53762951bc4166fc307a03f638220b853d9328c73445624e5b1",
         "vss_setup": {
           "I": [
             {
@@ -12615,64 +23451,133 @@
           ],
           "min_signers": 3
         },
-        "x": "6ff6d5461af518dc06780d4611919eb9c9dcdfa5a8f7e370dd6a74c206367e8e"
+        "x": "ecf5930e83fa2c40348eee03fa08e979379c89b8ddb8659b62c212e26b622170"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "fcbb21d68b5d74bd62e30dd8bca9c53fdbf8377a642a2d0d26d6a697f9a8732cef3c68c3af72c84ecdce18d6d886871262074bcacbb5ca3f4666e4cc2ea1f04bdf8bef47a662f28cf0f671ac58aab27e6e0ffa4bc86b88aef9e2f8488b61336f883bdee148dc94cfb22e295c4cee74d47b033c3826ba2d0e43a707114f9f7348b8abe8e3e04c9cd1b675de08cd990c67b173ec19c27c44e8ff3e60d7cc35a1a504b8fcfa4a22cd356da175971fc642fa4fa763ffee4bb70d575c04d2b1561f97"
+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 5,
         "public_shares": [
-          "023a0ea6b2be5ba9b0f3337bebae3a53a5dd58c905f7adb6dd7fb20c29f07b3b00",
-          "034df6592bf4b5e5c74e18ca8309f528f36eb721b5baa2e01eb30ebfd1ab0cbe7e",
-          "02368d4f7c0c7fce4cc903503b19f28b116ca394bdc34ad97e109d6e12cacbebc7",
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-          "023d73398a1ecfe346147ccce1e66af0263b877c08d88c954ba34aa83671b59248",
-          "030959a6204f9a13e537b922298c016b46485cdc7272733d244a61f17200d91897"
-        ],
-        "shared_public_key": "029f6e4cbfc0b54fbebe9cd05d5c8b920ca759c8d289471accca4dc916888c4a21",
+          "03c0d0cfb87d9b8bdc643d37ac932d7e3f9b6ab1530b2070ae4dd60a358a8d1c6f",
+          "034bf33374f04e9fd058e72441a7d93f9a9089446d6efeb4625bf615b9fde39af7",
+          "03a8c6285efc9d48c3fa5e7e4698a9699c5ba0a9f35f8967f7863c34ad7a1c90e5",
+          "023a32d6ea14d355b7dfdf9721f7821d336f35d93573f90bf1cc09b077166562fa",
+          "02adbc802c7cd45bdd4245dd37c8b2a84f9bedd4323d198db4bc6787f4fb587fe0",
+          "02c7ea17f587fc91596565cb86f5313e86879ff371fb679dd292415ccfdb52fd09",
+          "0235ea3148b47178232dd6b1ea1a1c347cbc6e5b5788edb235ff57933f9d6fc2f8"
+        ],
+        "shared_public_key": "02314df6799591a53762951bc4166fc307a03f638220b853d9328c73445624e5b1",
         "vss_setup": {
           "I": [
             {
@@ -12706,64 +23611,133 @@
           ],
           "min_signers": 3
         },
-        "x": "73e0828bb5fd489f8f896fd9ea7be8afb4e2bbfcf3cd3a6e754d4d9749e0ea65"
+        "x": "69f6dadf4939890489d8f15bffae60cdb5f37363cc66666ce18062cc3879887b"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+            }
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         ],
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+        "q": {
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+          "value": "c6dbdcbbd263f569f60702926985769539a531aad9a110c37d4e5d26f48abc2cdda62165cab6dbb3dbab52acceb471eac2ff4513f48e99425b084f8151cf4e1d6b26d8fd0d0e5387f265d548c4e0fc94cd30b28c9390b362e70bb21fa9c01239229d36d58c94bdfce925371f7c2107fc322b67dd46e81719f384620027d4fca73c17be2ae1de29be82d02821e685e04ae62443eae3f15dcfda9c8952f0a4f7b0b4e5970f15f2dfcdcf7d426935684e4056f45a12fc0e949cd76917ad4e4b738b"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 6,
         "public_shares": [
-          "023a0ea6b2be5ba9b0f3337bebae3a53a5dd58c905f7adb6dd7fb20c29f07b3b00",
-          "034df6592bf4b5e5c74e18ca8309f528f36eb721b5baa2e01eb30ebfd1ab0cbe7e",
-          "02368d4f7c0c7fce4cc903503b19f28b116ca394bdc34ad97e109d6e12cacbebc7",
-          "03296e4ffb13ae5e22fc8e5404bf389fd1f562152a853169de560bac1b49fea239",
-          "035c74a1f5beeaad42c444c7f3fee34c73d8eb56e9a4bce87c23affc7f4636c8af",
-          "023d73398a1ecfe346147ccce1e66af0263b877c08d88c954ba34aa83671b59248",
-          "030959a6204f9a13e537b922298c016b46485cdc7272733d244a61f17200d91897"
-        ],
-        "shared_public_key": "029f6e4cbfc0b54fbebe9cd05d5c8b920ca759c8d289471accca4dc916888c4a21",
+          "03c0d0cfb87d9b8bdc643d37ac932d7e3f9b6ab1530b2070ae4dd60a358a8d1c6f",
+          "034bf33374f04e9fd058e72441a7d93f9a9089446d6efeb4625bf615b9fde39af7",
+          "03a8c6285efc9d48c3fa5e7e4698a9699c5ba0a9f35f8967f7863c34ad7a1c90e5",
+          "023a32d6ea14d355b7dfdf9721f7821d336f35d93573f90bf1cc09b077166562fa",
+          "02adbc802c7cd45bdd4245dd37c8b2a84f9bedd4323d198db4bc6787f4fb587fe0",
+          "02c7ea17f587fc91596565cb86f5313e86879ff371fb679dd292415ccfdb52fd09",
+          "0235ea3148b47178232dd6b1ea1a1c347cbc6e5b5788edb235ff57933f9d6fc2f8"
+        ],
+        "shared_public_key": "02314df6799591a53762951bc4166fc307a03f638220b853d9328c73445624e5b1",
         "vss_setup": {
           "I": [
             {
@@ -12797,84 +23771,180 @@
           ],
           "min_signers": 3
         },
-        "x": "5b63b0ef3a9a939c5a14967f26cacac8f34c9d93b5045e8d68dea702e6359052"
+        "x": "6dbfb9e103bd983b8ef05806ec0113c32715038fcd6f0506db3929ed7db31b46"
       }
     }
   ],
   "t=Some(5),n=10,curve=secp256k1": [
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
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-        ],
-        "shared_public_key": "021ba0cfb51c218a283ee77acdb0c384835540736004164d86de5548081a2486ec",
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+          "024b2e256fd19bcf8e8ab82a389a45a4a4ef7fe7c6e23c4ad062786da8faee0d76",
+          "03b1fb4dfc7e433e28b008e64b3e498355fd2594d478e4d280d85f96a3ec48c63f"
+        ],
+        "shared_public_key": "02297c2d93827f4dc31489acadd4f641a48f7cb4a2f6534ed0f8b60f9a78696f71",
         "vss_setup": {
           "I": [
             {
@@ -12920,82 +23990,178 @@
           ],
           "min_signers": 5
         },
-        "x": "c84cd91a1c3ec53b7eaf123455cb8a823eb669f4a3ed26b1a305bc9a5f313f13"
+        "x": "6525b230ab2a83e90dcad23e7b3f9ed43fb5a1c91faaefd8332372c804c00c9a"
       }
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     {
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       "core": {
         "curve": "secp256k1",
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-        "shared_public_key": "021ba0cfb51c218a283ee77acdb0c384835540736004164d86de5548081a2486ec",
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+          "03b1fb4dfc7e433e28b008e64b3e498355fd2594d478e4d280d85f96a3ec48c63f"
+        ],
+        "shared_public_key": "02297c2d93827f4dc31489acadd4f641a48f7cb4a2f6534ed0f8b60f9a78696f71",
         "vss_setup": {
           "I": [
             {
@@ -13041,82 +24207,178 @@
           ],
           "min_signers": 5
         },
-        "x": "5d1111685dc7c82505c793a925d154bb552263839b43cb367e3f132273b73f8a"
+        "x": "ca1cdac6092a12c942d9aa89a7b12b27166120ba85805281274f1bcfb84aba8c"
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       "core": {
         "curve": "secp256k1",
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+          "024b2e256fd19bcf8e8ab82a389a45a4a4ef7fe7c6e23c4ad062786da8faee0d76",
+          "03b1fb4dfc7e433e28b008e64b3e498355fd2594d478e4d280d85f96a3ec48c63f"
+        ],
+        "shared_public_key": "02297c2d93827f4dc31489acadd4f641a48f7cb4a2f6534ed0f8b60f9a78696f71",
         "vss_setup": {
           "I": [
             {
@@ -13162,82 +24424,178 @@
           ],
           "min_signers": 5
         },
-        "x": "b95650bfc4e3dcf183a4c67cb2ea2db3a372377ae3a09d2ef94d2a8f2ef529e8"
+        "x": "77a2fee5f0739ad390ce3f7f162dc8d0cf61860c20ccf77b2901ce18953df2b4"
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
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-          "02df6d74252035be51048772c49f517f0727f4256da270dd64d2c27b5b886bef8e",
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-          "023b9fd51eba911e912576de649dbdf94c03275b6e796e081a5ce87940ae428bb6",
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-          "02aa10257560f0361c5b8bbbd7f89b66c2e45fe4717690b7ed2c421ba3a9710e94"
-        ],
-        "shared_public_key": "021ba0cfb51c218a283ee77acdb0c384835540736004164d86de5548081a2486ec",
+          "0270ac17a40e9ddd66f376c3bb83dccbfc4bad87758295057bfdfe0f91c7f8422c",
+          "031ab251e89224889ea328a3fc7a5192cdc6e499d3a3376c580da325c6bf4fbed9",
+          "03c66ddf8678bac7f4bdf19fbfffdd67aa372014bb4ee9c604727016d8969031ad",
+          "0255e9927fd16f138db410333e23b6be318ac08aae968ec02682aac4320d74bbd8",
+          "03638a4de3c9cf0e24d070ca17c0179649b38287b245c701630d56448d67caf2bf",
+          "033ba9572f584238c6758254999ceb448ba530603bdef8c0facff21d26990774da",
+          "0241a7df862bbb8eb056e8f75be86fc1797033f36d9de5db808d104ba7062fa7ee",
+          "030f3cb81e862c8d06d3d6d9f83c5c635d29be7e856452d68fcb5119f5c138bf51",
+          "024b2e256fd19bcf8e8ab82a389a45a4a4ef7fe7c6e23c4ad062786da8faee0d76",
+          "03b1fb4dfc7e433e28b008e64b3e498355fd2594d478e4d280d85f96a3ec48c63f"
+        ],
+        "shared_public_key": "02297c2d93827f4dc31489acadd4f641a48f7cb4a2f6534ed0f8b60f9a78696f71",
         "vss_setup": {
           "I": [
             {
@@ -13283,82 +24641,178 @@
           ],
           "min_signers": 5
         },
-        "x": "defed2010f65726f1e5343e9a2afefe08cc34ed259f94f8fe3d59cab0b72fdc3"
+        "x": "2c9a785cd9dc2cb88b41e9fafe45535e24a270f3c036ff4bd1c321d38d926ff8"
       }
     },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
-          "03af925c3a17460eede2f2862fdb70a4f1914c64257c205020e5f3917a690b51cf",
-          "02df6d74252035be51048772c49f517f0727f4256da270dd64d2c27b5b886bef8e",
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-          "037d0012709110e7c74af3db457b901292e4d4c7464dd2fe90f11e727b09e0897e",
-          "023b9fd51eba911e912576de649dbdf94c03275b6e796e081a5ce87940ae428bb6",
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-          "02aa10257560f0361c5b8bbbd7f89b66c2e45fe4717690b7ed2c421ba3a9710e94"
-        ],
-        "shared_public_key": "021ba0cfb51c218a283ee77acdb0c384835540736004164d86de5548081a2486ec",
+          "0270ac17a40e9ddd66f376c3bb83dccbfc4bad87758295057bfdfe0f91c7f8422c",
+          "031ab251e89224889ea328a3fc7a5192cdc6e499d3a3376c580da325c6bf4fbed9",
+          "03c66ddf8678bac7f4bdf19fbfffdd67aa372014bb4ee9c604727016d8969031ad",
+          "0255e9927fd16f138db410333e23b6be318ac08aae968ec02682aac4320d74bbd8",
+          "03638a4de3c9cf0e24d070ca17c0179649b38287b245c701630d56448d67caf2bf",
+          "033ba9572f584238c6758254999ceb448ba530603bdef8c0facff21d26990774da",
+          "0241a7df862bbb8eb056e8f75be86fc1797033f36d9de5db808d104ba7062fa7ee",
+          "030f3cb81e862c8d06d3d6d9f83c5c635d29be7e856452d68fcb5119f5c138bf51",
+          "024b2e256fd19bcf8e8ab82a389a45a4a4ef7fe7c6e23c4ad062786da8faee0d76",
+          "03b1fb4dfc7e433e28b008e64b3e498355fd2594d478e4d280d85f96a3ec48c63f"
+        ],
+        "shared_public_key": "02297c2d93827f4dc31489acadd4f641a48f7cb4a2f6534ed0f8b60f9a78696f71",
         "vss_setup": {
           "I": [
             {
@@ -13404,82 +24858,178 @@
           ],
           "min_signers": 5
         },
-        "x": "977942ac0283415de9df6dbb687d5b13199116bbc917ff743eb41b72386f3348"
+        "x": "b722c4d8b7c8579d844a0de326117536acb223bc4859a3251431b8b150dc793d"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "c199862178a6c4af9b584c4780ff4c2bac0cd178c9194aebf865fdfcde812f2d30c91c485c44d018fa34e5f17f85cc3ef5141a30109cefef8533723f72bed0b20284dc6404f5587c06a6ce9f24d239b8fdf9622d164e6f4a6aede9240a3c762af97cd2bb4adaa015a597afe6da84d33962d87e8b8e0eb948fb577abe3356132376899b9df7d7fadc01306d0bad777d3a043fb81735b60e767b5b49e0410b9eb014b027c719ff50a93e2a322484fd6e2fbafe36adb7f6aefb7df698e48d9c2603"
+        },
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 5,
         "public_shares": [
-          "03af925c3a17460eede2f2862fdb70a4f1914c64257c205020e5f3917a690b51cf",
-          "02df6d74252035be51048772c49f517f0727f4256da270dd64d2c27b5b886bef8e",
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-          "02aa10257560f0361c5b8bbbd7f89b66c2e45fe4717690b7ed2c421ba3a9710e94"
-        ],
-        "shared_public_key": "021ba0cfb51c218a283ee77acdb0c384835540736004164d86de5548081a2486ec",
+          "0270ac17a40e9ddd66f376c3bb83dccbfc4bad87758295057bfdfe0f91c7f8422c",
+          "031ab251e89224889ea328a3fc7a5192cdc6e499d3a3376c580da325c6bf4fbed9",
+          "03c66ddf8678bac7f4bdf19fbfffdd67aa372014bb4ee9c604727016d8969031ad",
+          "0255e9927fd16f138db410333e23b6be318ac08aae968ec02682aac4320d74bbd8",
+          "03638a4de3c9cf0e24d070ca17c0179649b38287b245c701630d56448d67caf2bf",
+          "033ba9572f584238c6758254999ceb448ba530603bdef8c0facff21d26990774da",
+          "0241a7df862bbb8eb056e8f75be86fc1797033f36d9de5db808d104ba7062fa7ee",
+          "030f3cb81e862c8d06d3d6d9f83c5c635d29be7e856452d68fcb5119f5c138bf51",
+          "024b2e256fd19bcf8e8ab82a389a45a4a4ef7fe7c6e23c4ad062786da8faee0d76",
+          "03b1fb4dfc7e433e28b008e64b3e498355fd2594d478e4d280d85f96a3ec48c63f"
+        ],
+        "shared_public_key": "02297c2d93827f4dc31489acadd4f641a48f7cb4a2f6534ed0f8b60f9a78696f71",
         "vss_setup": {
           "I": [
             {
@@ -13525,82 +25075,178 @@
           ],
           "min_signers": 5
         },
-        "x": "73c0c2df6ad84c6fe8556e4e456e1477f7b500a2e99b341d3bfa711299debb3b"
+        "x": "f49885e8f62c291c8c781a26e235a79f6563c9f85533f46dbc5e80c8abdf5ee5"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
           {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 6,
         "public_shares": [
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-          "02aa10257560f0361c5b8bbbd7f89b66c2e45fe4717690b7ed2c421ba3a9710e94"
-        ],
-        "shared_public_key": "021ba0cfb51c218a283ee77acdb0c384835540736004164d86de5548081a2486ec",
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+          "03638a4de3c9cf0e24d070ca17c0179649b38287b245c701630d56448d67caf2bf",
+          "033ba9572f584238c6758254999ceb448ba530603bdef8c0facff21d26990774da",
+          "0241a7df862bbb8eb056e8f75be86fc1797033f36d9de5db808d104ba7062fa7ee",
+          "030f3cb81e862c8d06d3d6d9f83c5c635d29be7e856452d68fcb5119f5c138bf51",
+          "024b2e256fd19bcf8e8ab82a389a45a4a4ef7fe7c6e23c4ad062786da8faee0d76",
+          "03b1fb4dfc7e433e28b008e64b3e498355fd2594d478e4d280d85f96a3ec48c63f"
+        ],
+        "shared_public_key": "02297c2d93827f4dc31489acadd4f641a48f7cb4a2f6534ed0f8b60f9a78696f71",
         "vss_setup": {
           "I": [
             {
@@ -13646,82 +25292,178 @@
           ],
           "min_signers": 5
         },
-        "x": "cc5ce5591c63e04909c1388f485ea698bfb7a546b2ad3eb67f1e215ef836bdb6"
+        "x": "d19580fe7a8b2d4472d988bf15df32b6e3dc0f364802bd74af43d03cf9303e92"
       }
     },
     {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 7,
         "public_shares": [
-          "03af925c3a17460eede2f2862fdb70a4f1914c64257c205020e5f3917a690b51cf",
-          "02df6d74252035be51048772c49f517f0727f4256da270dd64d2c27b5b886bef8e",
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-          "037d0012709110e7c74af3db457b901292e4d4c7464dd2fe90f11e727b09e0897e",
-          "023b9fd51eba911e912576de649dbdf94c03275b6e796e081a5ce87940ae428bb6",
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-          "03bf319b85812e19ef2636097812d5e5a584babe312dcb881434e64d156148421e",
-          "02809fb5bf2eac04e0ab8ea1d1e6a928470ad8a9473385e5f3bf6df9d5a1cc06f8",
-          "02aa10257560f0361c5b8bbbd7f89b66c2e45fe4717690b7ed2c421ba3a9710e94"
-        ],
-        "shared_public_key": "021ba0cfb51c218a283ee77acdb0c384835540736004164d86de5548081a2486ec",
+          "0270ac17a40e9ddd66f376c3bb83dccbfc4bad87758295057bfdfe0f91c7f8422c",
+          "031ab251e89224889ea328a3fc7a5192cdc6e499d3a3376c580da325c6bf4fbed9",
+          "03c66ddf8678bac7f4bdf19fbfffdd67aa372014bb4ee9c604727016d8969031ad",
+          "0255e9927fd16f138db410333e23b6be318ac08aae968ec02682aac4320d74bbd8",
+          "03638a4de3c9cf0e24d070ca17c0179649b38287b245c701630d56448d67caf2bf",
+          "033ba9572f584238c6758254999ceb448ba530603bdef8c0facff21d26990774da",
+          "0241a7df862bbb8eb056e8f75be86fc1797033f36d9de5db808d104ba7062fa7ee",
+          "030f3cb81e862c8d06d3d6d9f83c5c635d29be7e856452d68fcb5119f5c138bf51",
+          "024b2e256fd19bcf8e8ab82a389a45a4a4ef7fe7c6e23c4ad062786da8faee0d76",
+          "03b1fb4dfc7e433e28b008e64b3e498355fd2594d478e4d280d85f96a3ec48c63f"
+        ],
+        "shared_public_key": "02297c2d93827f4dc31489acadd4f641a48f7cb4a2f6534ed0f8b60f9a78696f71",
         "vss_setup": {
           "I": [
             {
@@ -13767,82 +25509,178 @@
           ],
           "min_signers": 5
         },
-        "x": "c161af75f289937f2c2e87fc4dec815d3a21e7d2aabb9a1a5d260b42303658e8"
+        "x": "49f09f6ba3f86e98c4f7deae32c52d7699e2421997f7e1352af306b150ffc1e5"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
           {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 8,
         "public_shares": [
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-          "02df6d74252035be51048772c49f517f0727f4256da270dd64d2c27b5b886bef8e",
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-          "023b9fd51eba911e912576de649dbdf94c03275b6e796e081a5ce87940ae428bb6",
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-          "03bf319b85812e19ef2636097812d5e5a584babe312dcb881434e64d156148421e",
-          "02809fb5bf2eac04e0ab8ea1d1e6a928470ad8a9473385e5f3bf6df9d5a1cc06f8",
-          "02aa10257560f0361c5b8bbbd7f89b66c2e45fe4717690b7ed2c421ba3a9710e94"
-        ],
-        "shared_public_key": "021ba0cfb51c218a283ee77acdb0c384835540736004164d86de5548081a2486ec",
+          "0270ac17a40e9ddd66f376c3bb83dccbfc4bad87758295057bfdfe0f91c7f8422c",
+          "031ab251e89224889ea328a3fc7a5192cdc6e499d3a3376c580da325c6bf4fbed9",
+          "03c66ddf8678bac7f4bdf19fbfffdd67aa372014bb4ee9c604727016d8969031ad",
+          "0255e9927fd16f138db410333e23b6be318ac08aae968ec02682aac4320d74bbd8",
+          "03638a4de3c9cf0e24d070ca17c0179649b38287b245c701630d56448d67caf2bf",
+          "033ba9572f584238c6758254999ceb448ba530603bdef8c0facff21d26990774da",
+          "0241a7df862bbb8eb056e8f75be86fc1797033f36d9de5db808d104ba7062fa7ee",
+          "030f3cb81e862c8d06d3d6d9f83c5c635d29be7e856452d68fcb5119f5c138bf51",
+          "024b2e256fd19bcf8e8ab82a389a45a4a4ef7fe7c6e23c4ad062786da8faee0d76",
+          "03b1fb4dfc7e433e28b008e64b3e498355fd2594d478e4d280d85f96a3ec48c63f"
+        ],
+        "shared_public_key": "02297c2d93827f4dc31489acadd4f641a48f7cb4a2f6534ed0f8b60f9a78696f71",
         "vss_setup": {
           "I": [
             {
@@ -13888,82 +25726,178 @@
           ],
           "min_signers": 5
         },
-        "x": "3a6f9931d011469a1ba8e0a40075fa08d4daafac46082b495c4f25d8d3532397"
+        "x": "68bdee644b167611ced8ac0039287db1908f31418182fb928666ebd559505fbf"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+            },
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+            }
           }
         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 9,
         "public_shares": [
-          "03af925c3a17460eede2f2862fdb70a4f1914c64257c205020e5f3917a690b51cf",
-          "02df6d74252035be51048772c49f517f0727f4256da270dd64d2c27b5b886bef8e",
-          "026b67fe0dbe27b0e7ed15a5f39961880a4fbeb421d1cacc2260414a65c8737a41",
-          "037a00181d42ec7c4fd64f810e9ede745e17bc358384b2ac7624d12f218a1c8ec7",
-          "037d0012709110e7c74af3db457b901292e4d4c7464dd2fe90f11e727b09e0897e",
-          "023b9fd51eba911e912576de649dbdf94c03275b6e796e081a5ce87940ae428bb6",
-          "027b0f0d67f0dd6010999bd10d90f97187848df84e4ec21f56cd3296dc38017ede",
-          "03bf319b85812e19ef2636097812d5e5a584babe312dcb881434e64d156148421e",
-          "02809fb5bf2eac04e0ab8ea1d1e6a928470ad8a9473385e5f3bf6df9d5a1cc06f8",
-          "02aa10257560f0361c5b8bbbd7f89b66c2e45fe4717690b7ed2c421ba3a9710e94"
-        ],
-        "shared_public_key": "021ba0cfb51c218a283ee77acdb0c384835540736004164d86de5548081a2486ec",
+          "0270ac17a40e9ddd66f376c3bb83dccbfc4bad87758295057bfdfe0f91c7f8422c",
+          "031ab251e89224889ea328a3fc7a5192cdc6e499d3a3376c580da325c6bf4fbed9",
+          "03c66ddf8678bac7f4bdf19fbfffdd67aa372014bb4ee9c604727016d8969031ad",
+          "0255e9927fd16f138db410333e23b6be318ac08aae968ec02682aac4320d74bbd8",
+          "03638a4de3c9cf0e24d070ca17c0179649b38287b245c701630d56448d67caf2bf",
+          "033ba9572f584238c6758254999ceb448ba530603bdef8c0facff21d26990774da",
+          "0241a7df862bbb8eb056e8f75be86fc1797033f36d9de5db808d104ba7062fa7ee",
+          "030f3cb81e862c8d06d3d6d9f83c5c635d29be7e856452d68fcb5119f5c138bf51",
+          "024b2e256fd19bcf8e8ab82a389a45a4a4ef7fe7c6e23c4ad062786da8faee0d76",
+          "03b1fb4dfc7e433e28b008e64b3e498355fd2594d478e4d280d85f96a3ec48c63f"
+        ],
+        "shared_public_key": "02297c2d93827f4dc31489acadd4f641a48f7cb4a2f6534ed0f8b60f9a78696f71",
         "vss_setup": {
           "I": [
             {
@@ -14009,84 +25943,180 @@
           ],
           "min_signers": 5
         },
-        "x": "e6b38d279f272413923b8f25d81a4b395dd5c55995f1e1a5f3dedefdf7ef6e61"
+        "x": "484e9efdc2174b1c9afd8bcab7d3d81838409494f87780a4f20c93bed553987e"
       }
     }
   ],
   "t=Some(5),n=10,curve=secp256r1": [
     {
       "aux": {
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+        },
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
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-          "02b8fdf9b691da4c7ace8be83bbb3a94b0a0eda2ed6e4c75b48b49de46a09ca426",
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-          "02240e07b7055036e56bc667b9d04dbf8636452f25640dff9faacf26c218ab3d85"
-        ],
-        "shared_public_key": "021186660264ff710985b1de36ce88b1168b414cf4bf038d562ce9bd2ff712ef3c",
+          "02f422f7e96bcfe25772f09c669fe2536c03af188d9b01c829e208df1b2a97ce91",
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+          "02805a3d916d3f997ced5e6128cc07a0ebe1d571f221bc21daddb7e7e4ba9c8caf",
+          "0256fdb7e38acb2381f0177a3d89ff03fe7d37663b2edebfe0ae771d6232279783",
+          "037bbdb1afc7ea6383081d7dabf73c8e5970783d94a4d7b167e5a1014dc40d1c4d",
+          "03f9e891420f227fbba638555fca92c4d35b5729c3609fe5fa5f62e895aa7183ea",
+          "03ca648101be1aba72550bfb913b09a24267baa93529737a526daed4832eb57764",
+          "037e3c662c7f46fb8ae47cef90b3efedf617addf61110127f471f6a664f4176c2c",
+          "034c86f0942a8ea6e6b4a284ef40444776abfaf3427cbf70147c57b934ecb4a75c"
+        ],
+        "shared_public_key": "0362894c0b01d7f905ed38b20936aa59922072eb46ae7aa9dd072fc91552a1994d",
         "vss_setup": {
           "I": [
             {
@@ -14132,82 +26162,178 @@
           ],
           "min_signers": 5
         },
-        "x": "0953e02c7304482dbcc10b6ce8c902fb7b672e2811259429fd67b0869f57df78"
+        "x": "80a142d42e1cee79971523ab67b2195a281b61aba66d3322ed50bc6a18cc3038"
       }
     },
     {
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       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
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-          "02240e07b7055036e56bc667b9d04dbf8636452f25640dff9faacf26c218ab3d85"
-        ],
-        "shared_public_key": "021186660264ff710985b1de36ce88b1168b414cf4bf038d562ce9bd2ff712ef3c",
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+          "0256fdb7e38acb2381f0177a3d89ff03fe7d37663b2edebfe0ae771d6232279783",
+          "037bbdb1afc7ea6383081d7dabf73c8e5970783d94a4d7b167e5a1014dc40d1c4d",
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+          "03ca648101be1aba72550bfb913b09a24267baa93529737a526daed4832eb57764",
+          "037e3c662c7f46fb8ae47cef90b3efedf617addf61110127f471f6a664f4176c2c",
+          "034c86f0942a8ea6e6b4a284ef40444776abfaf3427cbf70147c57b934ecb4a75c"
+        ],
+        "shared_public_key": "0362894c0b01d7f905ed38b20936aa59922072eb46ae7aa9dd072fc91552a1994d",
         "vss_setup": {
           "I": [
             {
@@ -14253,82 +26379,178 @@
           ],
           "min_signers": 5
         },
-        "x": "a572e5b3a4f45ff43a67b198687031581a28fa3adce54338d3bfeca5454ea7a5"
+        "x": "bc7aee8427bffa366fdac6dac5ee1e62ce65f04f3b344ecbf42d559fe8979af8"
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     },
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       "core": {
         "curve": "secp256r1",
         "i": 2,
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-          "02240e07b7055036e56bc667b9d04dbf8636452f25640dff9faacf26c218ab3d85"
-        ],
-        "shared_public_key": "021186660264ff710985b1de36ce88b1168b414cf4bf038d562ce9bd2ff712ef3c",
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+          "037e3c662c7f46fb8ae47cef90b3efedf617addf61110127f471f6a664f4176c2c",
+          "034c86f0942a8ea6e6b4a284ef40444776abfaf3427cbf70147c57b934ecb4a75c"
+        ],
+        "shared_public_key": "0362894c0b01d7f905ed38b20936aa59922072eb46ae7aa9dd072fc91552a1994d",
         "vss_setup": {
           "I": [
             {
@@ -14374,82 +26596,178 @@
           ],
           "min_signers": 5
         },
-        "x": "3df90a9e194fadc6dcbd4e537aa34795012dad867d7e8c4232ef3935c126331f"
+        "x": "d38f347533e4cac9f3f422e7c4236d8cb8c2ddc4274505378f0c8f50f8130658"
       }
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       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
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+          "03ca648101be1aba72550bfb913b09a24267baa93529737a526daed4832eb57764",
+          "037e3c662c7f46fb8ae47cef90b3efedf617addf61110127f471f6a664f4176c2c",
+          "034c86f0942a8ea6e6b4a284ef40444776abfaf3427cbf70147c57b934ecb4a75c"
+        ],
+        "shared_public_key": "0362894c0b01d7f905ed38b20936aa59922072eb46ae7aa9dd072fc91552a1994d",
         "vss_setup": {
           "I": [
             {
@@ -14495,82 +26813,178 @@
           ],
           "min_signers": 5
         },
-        "x": "c4a6a6f8615582c4c3d772a32c19bf93ba4a55dbd8a17b0ac4fce111fd9bfbd2"
+        "x": "241de1c7cb4630eaec86ccf088e8411f6188e3a912e9621ebf6bec076b7133be"
       }
     },
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+        "q": {
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+          "value": "8dbc099c9b4ce6f9516e4cbb673af1eb1f5fe7941f4bee33e84cfe4b631e49ff5f063e029b4439fdb647f0a85463ca47f9e67dd233e15a8b436127d6b3dfcb9995972cf7a6a25d6b9c562f5e54edcbc87289c40aed168b95306b133058997ff4d3e92fa991d90dba02849513b87b472c85753a2f25bf3a87f7e4a66e2552ab5abde9e3ce80f96b2822537309a02523383b49df4660ac069ba0c4e2b28108043ec2104bee6b83c125c6afbbbfe70add16a59bf95f14de4d8d939cd1e68ba8505b"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
-          "02c04f88dd692d0a3cab7186f03ea3c1fdef25b9889dd47b34fc16d8ebffc1a390",
-          "02b8fdf9b691da4c7ace8be83bbb3a94b0a0eda2ed6e4c75b48b49de46a09ca426",
-          "03ce31bd03a54f0a014cceaf151ec7f32f9d23a9ea86e0617987e0f9efc7b6aa1e",
-          "0269d563727ffbce6fea424fd734117e9c389ea9c05a3a0a4865cd9558d50b3d93",
-          "02e8dc8ead998d6248c010c492d3dee69e4630318bf0457420fa830a20e22b0a75",
-          "03e2aeff4e57531b52fd20d33718a880d680b7a64e23e40170da685b2bf587d69b",
-          "03ee0e4472116cb5b4c91d0513924a52585ea2031596f679d361afc2360dcbe35b",
-          "023d25d2c6b02f23e5a0c4b354976824d6d61b7a489f87bbec1d2d8dcd04a99989",
-          "0256edfccb1ddd0cc54da31f4252edca698746e38439565c2e66c3f619f4222c60",
-          "02240e07b7055036e56bc667b9d04dbf8636452f25640dff9faacf26c218ab3d85"
-        ],
-        "shared_public_key": "021186660264ff710985b1de36ce88b1168b414cf4bf038d562ce9bd2ff712ef3c",
+          "02f422f7e96bcfe25772f09c669fe2536c03af188d9b01c829e208df1b2a97ce91",
+          "0361b86fbd4ddc40abed1da2b924e6a0533e0113d5353a2ecb1966f3e4d2830acb",
+          "02bb89155419a5507fc09fda15a773de1ce02d8c83d2d1b05c18047d1493ae6fce",
+          "02805a3d916d3f997ced5e6128cc07a0ebe1d571f221bc21daddb7e7e4ba9c8caf",
+          "0256fdb7e38acb2381f0177a3d89ff03fe7d37663b2edebfe0ae771d6232279783",
+          "037bbdb1afc7ea6383081d7dabf73c8e5970783d94a4d7b167e5a1014dc40d1c4d",
+          "03f9e891420f227fbba638555fca92c4d35b5729c3609fe5fa5f62e895aa7183ea",
+          "03ca648101be1aba72550bfb913b09a24267baa93529737a526daed4832eb57764",
+          "037e3c662c7f46fb8ae47cef90b3efedf617addf61110127f471f6a664f4176c2c",
+          "034c86f0942a8ea6e6b4a284ef40444776abfaf3427cbf70147c57b934ecb4a75c"
+        ],
+        "shared_public_key": "0362894c0b01d7f905ed38b20936aa59922072eb46ae7aa9dd072fc91552a1994d",
         "vss_setup": {
           "I": [
             {
@@ -14616,82 +27030,178 @@
           ],
           "min_signers": 5
         },
-        "x": "f39a5149d2b295439e1075a1e75d0a1d9c1a05648051b1b59691d8b1ac765458"
+        "x": "18d0eb0c0f3a93c54c88ebc85cf17bb97d5828e9262aa557be4141bfbc871833"
       }
     },
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         ],
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+          "value": "c91f4dcca669544c56d4371206b2ea1a295db601e99d2622c85c9139f6568fcd6a494a230786cfe01fa2674096fd5878cc553c51ebdd57eca51b1fb5513ba8f2ca2ed778f8ca70030062fca716c44eafb226c7affceef80a1b7542acfb4fb69836ce7a1063761fa7ef9635e061b312a99abe73ade27fafffa3737dd5e17ecdef6c1c98857905411afe494cb5b0f36e61aff64facb7d85cdb1775d2bc93dfdab69d6aea8fde7f4fa85c7c35196c84c113829cc56f5a67d9617e5bb9a466586313"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 5,
         "public_shares": [
-          "02c04f88dd692d0a3cab7186f03ea3c1fdef25b9889dd47b34fc16d8ebffc1a390",
-          "02b8fdf9b691da4c7ace8be83bbb3a94b0a0eda2ed6e4c75b48b49de46a09ca426",
-          "03ce31bd03a54f0a014cceaf151ec7f32f9d23a9ea86e0617987e0f9efc7b6aa1e",
-          "0269d563727ffbce6fea424fd734117e9c389ea9c05a3a0a4865cd9558d50b3d93",
-          "02e8dc8ead998d6248c010c492d3dee69e4630318bf0457420fa830a20e22b0a75",
-          "03e2aeff4e57531b52fd20d33718a880d680b7a64e23e40170da685b2bf587d69b",
-          "03ee0e4472116cb5b4c91d0513924a52585ea2031596f679d361afc2360dcbe35b",
-          "023d25d2c6b02f23e5a0c4b354976824d6d61b7a489f87bbec1d2d8dcd04a99989",
-          "0256edfccb1ddd0cc54da31f4252edca698746e38439565c2e66c3f619f4222c60",
-          "02240e07b7055036e56bc667b9d04dbf8636452f25640dff9faacf26c218ab3d85"
-        ],
-        "shared_public_key": "021186660264ff710985b1de36ce88b1168b414cf4bf038d562ce9bd2ff712ef3c",
+          "02f422f7e96bcfe25772f09c669fe2536c03af188d9b01c829e208df1b2a97ce91",
+          "0361b86fbd4ddc40abed1da2b924e6a0533e0113d5353a2ecb1966f3e4d2830acb",
+          "02bb89155419a5507fc09fda15a773de1ce02d8c83d2d1b05c18047d1493ae6fce",
+          "02805a3d916d3f997ced5e6128cc07a0ebe1d571f221bc21daddb7e7e4ba9c8caf",
+          "0256fdb7e38acb2381f0177a3d89ff03fe7d37663b2edebfe0ae771d6232279783",
+          "037bbdb1afc7ea6383081d7dabf73c8e5970783d94a4d7b167e5a1014dc40d1c4d",
+          "03f9e891420f227fbba638555fca92c4d35b5729c3609fe5fa5f62e895aa7183ea",
+          "03ca648101be1aba72550bfb913b09a24267baa93529737a526daed4832eb57764",
+          "037e3c662c7f46fb8ae47cef90b3efedf617addf61110127f471f6a664f4176c2c",
+          "034c86f0942a8ea6e6b4a284ef40444776abfaf3427cbf70147c57b934ecb4a75c"
+        ],
+        "shared_public_key": "0362894c0b01d7f905ed38b20936aa59922072eb46ae7aa9dd072fc91552a1994d",
         "vss_setup": {
           "I": [
             {
@@ -14737,82 +27247,178 @@
           ],
           "min_signers": 5
         },
-        "x": "4d50de90878100d3a807747f74c88ee2bd99bd594f44e2d7e5dfe9363810fd3d"
+        "x": "28bc6c45c9b3f0f630c137f7ab12a852077e57056c72c8c22d138edcc93f471f"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "b12e666f4b1e26a80febaeb6176298e38a9dc508e58647d38f2cfffddcf17ea2f996b70e4f862dd51d667fefa9789ca9239a55ca9c01e5b64868617c00279f974fd58f9f0b86e1d9acc46bbe5df90ea9ee01ff61ed6926fb6254bf1802f3a10cee1a2eceaa58fc5c7953d92ef1e5cd64fd3be4546db9b6a83aecd0f3f2df8f89be7634219c9472bd06977f152690b77be030315fc9fec2d91618ce9870ddc269de044d107d86ed2c17be42035d24a0f119a017bbdda80e33de7150e5825845ab"
+        },
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 6,
         "public_shares": [
-          "02c04f88dd692d0a3cab7186f03ea3c1fdef25b9889dd47b34fc16d8ebffc1a390",
-          "02b8fdf9b691da4c7ace8be83bbb3a94b0a0eda2ed6e4c75b48b49de46a09ca426",
-          "03ce31bd03a54f0a014cceaf151ec7f32f9d23a9ea86e0617987e0f9efc7b6aa1e",
-          "0269d563727ffbce6fea424fd734117e9c389ea9c05a3a0a4865cd9558d50b3d93",
-          "02e8dc8ead998d6248c010c492d3dee69e4630318bf0457420fa830a20e22b0a75",
-          "03e2aeff4e57531b52fd20d33718a880d680b7a64e23e40170da685b2bf587d69b",
-          "03ee0e4472116cb5b4c91d0513924a52585ea2031596f679d361afc2360dcbe35b",
-          "023d25d2c6b02f23e5a0c4b354976824d6d61b7a489f87bbec1d2d8dcd04a99989",
-          "0256edfccb1ddd0cc54da31f4252edca698746e38439565c2e66c3f619f4222c60",
-          "02240e07b7055036e56bc667b9d04dbf8636452f25640dff9faacf26c218ab3d85"
-        ],
-        "shared_public_key": "021186660264ff710985b1de36ce88b1168b414cf4bf038d562ce9bd2ff712ef3c",
+          "02f422f7e96bcfe25772f09c669fe2536c03af188d9b01c829e208df1b2a97ce91",
+          "0361b86fbd4ddc40abed1da2b924e6a0533e0113d5353a2ecb1966f3e4d2830acb",
+          "02bb89155419a5507fc09fda15a773de1ce02d8c83d2d1b05c18047d1493ae6fce",
+          "02805a3d916d3f997ced5e6128cc07a0ebe1d571f221bc21daddb7e7e4ba9c8caf",
+          "0256fdb7e38acb2381f0177a3d89ff03fe7d37663b2edebfe0ae771d6232279783",
+          "037bbdb1afc7ea6383081d7dabf73c8e5970783d94a4d7b167e5a1014dc40d1c4d",
+          "03f9e891420f227fbba638555fca92c4d35b5729c3609fe5fa5f62e895aa7183ea",
+          "03ca648101be1aba72550bfb913b09a24267baa93529737a526daed4832eb57764",
+          "037e3c662c7f46fb8ae47cef90b3efedf617addf61110127f471f6a664f4176c2c",
+          "034c86f0942a8ea6e6b4a284ef40444776abfaf3427cbf70147c57b934ecb4a75c"
+        ],
+        "shared_public_key": "0362894c0b01d7f905ed38b20936aa59922072eb46ae7aa9dd072fc91552a1994d",
         "vss_setup": {
           "I": [
             {
@@ -14858,82 +27464,178 @@
           ],
           "min_signers": 5
         },
-        "x": "1ca562405e484640aca05280fa89ac79b30f68b00ffa6ffe165b7b2dbfc04a50"
+        "x": "d75ea8e96d3fdc8edfc6fbbc003dfa3778ab8a1dc9d35bd5f1285a70c8c3623c"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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+            }
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         ],
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 7,
         "public_shares": [
-          "02c04f88dd692d0a3cab7186f03ea3c1fdef25b9889dd47b34fc16d8ebffc1a390",
-          "02b8fdf9b691da4c7ace8be83bbb3a94b0a0eda2ed6e4c75b48b49de46a09ca426",
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-          "03e2aeff4e57531b52fd20d33718a880d680b7a64e23e40170da685b2bf587d69b",
-          "03ee0e4472116cb5b4c91d0513924a52585ea2031596f679d361afc2360dcbe35b",
-          "023d25d2c6b02f23e5a0c4b354976824d6d61b7a489f87bbec1d2d8dcd04a99989",
-          "0256edfccb1ddd0cc54da31f4252edca698746e38439565c2e66c3f619f4222c60",
-          "02240e07b7055036e56bc667b9d04dbf8636452f25640dff9faacf26c218ab3d85"
-        ],
-        "shared_public_key": "021186660264ff710985b1de36ce88b1168b414cf4bf038d562ce9bd2ff712ef3c",
+          "02f422f7e96bcfe25772f09c669fe2536c03af188d9b01c829e208df1b2a97ce91",
+          "0361b86fbd4ddc40abed1da2b924e6a0533e0113d5353a2ecb1966f3e4d2830acb",
+          "02bb89155419a5507fc09fda15a773de1ce02d8c83d2d1b05c18047d1493ae6fce",
+          "02805a3d916d3f997ced5e6128cc07a0ebe1d571f221bc21daddb7e7e4ba9c8caf",
+          "0256fdb7e38acb2381f0177a3d89ff03fe7d37663b2edebfe0ae771d6232279783",
+          "037bbdb1afc7ea6383081d7dabf73c8e5970783d94a4d7b167e5a1014dc40d1c4d",
+          "03f9e891420f227fbba638555fca92c4d35b5729c3609fe5fa5f62e895aa7183ea",
+          "03ca648101be1aba72550bfb913b09a24267baa93529737a526daed4832eb57764",
+          "037e3c662c7f46fb8ae47cef90b3efedf617addf61110127f471f6a664f4176c2c",
+          "034c86f0942a8ea6e6b4a284ef40444776abfaf3427cbf70147c57b934ecb4a75c"
+        ],
+        "shared_public_key": "0362894c0b01d7f905ed38b20936aa59922072eb46ae7aa9dd072fc91552a1994d",
         "vss_setup": {
           "I": [
             {
@@ -14979,82 +27681,178 @@
           ],
           "min_signers": 5
         },
-        "x": "74d12e45f9fd4b8f0503b900fc9fb8605754ec1287748e1cd58e364a22a7b2b0"
+        "x": "b4a00bdf15078111ca0213080b844d10903d60e805bea814585653f45652a9a3"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "c431e00b7f1c4d81f64d37c87dffd8cb58eeb9fe7f946ba48387c2aa802561b6b51b92d997bec91407dcdbe85139e91baf59090224fa322ca5956f7e70f5a2331f88564fdd2f0a2b1f667cbbe6b3b90a1fa27531a0226d62db03f83e01f52a0b4fadaf0261609a087b948850370dc33cf5ce178dd13aee364efb8ccdad6b14ce1b59c467293b37b678fc81539fa51c4163b666844d86f594612f4a2ff6d93fd11901c7a402152a2ba62e13fab4188760579057c6f5a0a466dac0bf1ac117ef4f"
+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 8,
         "public_shares": [
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-          "02b8fdf9b691da4c7ace8be83bbb3a94b0a0eda2ed6e4c75b48b49de46a09ca426",
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-          "023d25d2c6b02f23e5a0c4b354976824d6d61b7a489f87bbec1d2d8dcd04a99989",
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-          "02240e07b7055036e56bc667b9d04dbf8636452f25640dff9faacf26c218ab3d85"
-        ],
-        "shared_public_key": "021186660264ff710985b1de36ce88b1168b414cf4bf038d562ce9bd2ff712ef3c",
+          "02f422f7e96bcfe25772f09c669fe2536c03af188d9b01c829e208df1b2a97ce91",
+          "0361b86fbd4ddc40abed1da2b924e6a0533e0113d5353a2ecb1966f3e4d2830acb",
+          "02bb89155419a5507fc09fda15a773de1ce02d8c83d2d1b05c18047d1493ae6fce",
+          "02805a3d916d3f997ced5e6128cc07a0ebe1d571f221bc21daddb7e7e4ba9c8caf",
+          "0256fdb7e38acb2381f0177a3d89ff03fe7d37663b2edebfe0ae771d6232279783",
+          "037bbdb1afc7ea6383081d7dabf73c8e5970783d94a4d7b167e5a1014dc40d1c4d",
+          "03f9e891420f227fbba638555fca92c4d35b5729c3609fe5fa5f62e895aa7183ea",
+          "03ca648101be1aba72550bfb913b09a24267baa93529737a526daed4832eb57764",
+          "037e3c662c7f46fb8ae47cef90b3efedf617addf61110127f471f6a664f4176c2c",
+          "034c86f0942a8ea6e6b4a284ef40444776abfaf3427cbf70147c57b934ecb4a75c"
+        ],
+        "shared_public_key": "0362894c0b01d7f905ed38b20936aa59922072eb46ae7aa9dd072fc91552a1994d",
         "vss_setup": {
           "I": [
             {
@@ -15100,82 +27898,178 @@
           ],
           "min_signers": 5
         },
-        "x": "316bd306c2025bfb989f176f5cdbfefbcbd825de753845911b170160ffb9d0cc"
+        "x": "5cd3277e84cf9f7689aaeb839e1524db47dae76667662b1be7ec7e5262ce9110"
       }
     },
     {
       "aux": {
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+            }
           }
         ],
-        "q": "d4b3cefdab6b962e2ef712bee76514a47cc4779d862f123e504f89d3db2a7917c0716da5e15cd660106a8f186065582c7d330acccafa4bb7f6a5c85b2cb28e8c8d2edac0f06a1f6bb405958999e4669078cd77c6e8d8314b803965ea4471db61d183f56c89f65e85adefa6e79a9bdd701741bd53d333cdf39696a914aab5a6752ba1d515ec4be93064f33a2f2fd9bfcf839982687f398ba39993a334580ca518caeb979d16c1a41d6cc966dc79e51e27484618fef2bcbe5d0254845466204823"
+        "q": {
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+          "value": "ccf3d6e7ef0a9655352f8fb972a4e202fdc55e2739d28386d94de5e71542416adcf4776193dc9c5ee815ab7a5af7ec685410504ce2eb68125c4e8c03fbd992a4f84f88b734458bfc62fd07dd65dcca4922f96d31b9e9021a1a52dbd2afe865d5f23a6d022c9237a16a4f664f29eb0374b0eb24c1e548ca5a33a811ee1cad9ebfbeacb040fb4fd07cd4618de5081bb3808b0a2075c8941eb76fea38c25e4f4199461e2b6067888d9bed6e783ee45ddafcdffe8d65d23a44dc3b0c0fbcd04e95e7"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 9,
         "public_shares": [
-          "02c04f88dd692d0a3cab7186f03ea3c1fdef25b9889dd47b34fc16d8ebffc1a390",
-          "02b8fdf9b691da4c7ace8be83bbb3a94b0a0eda2ed6e4c75b48b49de46a09ca426",
-          "03ce31bd03a54f0a014cceaf151ec7f32f9d23a9ea86e0617987e0f9efc7b6aa1e",
-          "0269d563727ffbce6fea424fd734117e9c389ea9c05a3a0a4865cd9558d50b3d93",
-          "02e8dc8ead998d6248c010c492d3dee69e4630318bf0457420fa830a20e22b0a75",
-          "03e2aeff4e57531b52fd20d33718a880d680b7a64e23e40170da685b2bf587d69b",
-          "03ee0e4472116cb5b4c91d0513924a52585ea2031596f679d361afc2360dcbe35b",
-          "023d25d2c6b02f23e5a0c4b354976824d6d61b7a489f87bbec1d2d8dcd04a99989",
-          "0256edfccb1ddd0cc54da31f4252edca698746e38439565c2e66c3f619f4222c60",
-          "02240e07b7055036e56bc667b9d04dbf8636452f25640dff9faacf26c218ab3d85"
-        ],
-        "shared_public_key": "021186660264ff710985b1de36ce88b1168b414cf4bf038d562ce9bd2ff712ef3c",
+          "02f422f7e96bcfe25772f09c669fe2536c03af188d9b01c829e208df1b2a97ce91",
+          "0361b86fbd4ddc40abed1da2b924e6a0533e0113d5353a2ecb1966f3e4d2830acb",
+          "02bb89155419a5507fc09fda15a773de1ce02d8c83d2d1b05c18047d1493ae6fce",
+          "02805a3d916d3f997ced5e6128cc07a0ebe1d571f221bc21daddb7e7e4ba9c8caf",
+          "0256fdb7e38acb2381f0177a3d89ff03fe7d37663b2edebfe0ae771d6232279783",
+          "037bbdb1afc7ea6383081d7dabf73c8e5970783d94a4d7b167e5a1014dc40d1c4d",
+          "03f9e891420f227fbba638555fca92c4d35b5729c3609fe5fa5f62e895aa7183ea",
+          "03ca648101be1aba72550bfb913b09a24267baa93529737a526daed4832eb57764",
+          "037e3c662c7f46fb8ae47cef90b3efedf617addf61110127f471f6a664f4176c2c",
+          "034c86f0942a8ea6e6b4a284ef40444776abfaf3427cbf70147c57b934ecb4a75c"
+        ],
+        "shared_public_key": "0362894c0b01d7f905ed38b20936aa59922072eb46ae7aa9dd072fc91552a1994d",
         "vss_setup": {
           "I": [
             {
@@ -15221,54 +28115,105 @@
           ],
           "min_signers": 5
         },
-        "x": "f66b1f5ce22727ffdd24a3515ae1c3976c36d8dc2fabec33f7912d77a744f7a7"
+        "x": "78b4b59128f88f27e2ca848bab3eaded59a6a18c678b599e753e9a623bf47540"
       }
     }
   ],
   "t=Some(5),n=5,curve=secp256k1": [
     {
       "aux": {
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+        "p": {
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+          "value": "cdd4e53eab1789bdc5e7b4f4363089feb6e7e4d3cdcdaa6f2412f1eee22840324bc66548f70391316344b18591d9fc527f6d55a8b2bdb537d328bbe404b2e13512c7c91ffd80c8c3ab0bf5ea7c03b757a22c9f481b2ec2d57c575ffee8a1336a460c4ffaae5346e23bcd37e5df8179ba0d5130e34aa25a0f7ab035dfd53e9e79a940cef6f76268edd94b0ac3b3191b13f50573d955e2769c16b6e9bce13c07983a6b176bba174fcef2699239ced67470eb15ac6bff7c21384643ca01d993b09f"
+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
-          "028a3937e9f5a268d0f21d96f1a9d371b5f6890c3478d801e48bea4c0320847b46",
-          "032babc99cf49a3bd7e7bc0be36ce6d1a3699a2e16032e47ad5b2f25c55bf9bc83",
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-          "03149c72fa1f80c3e541779e1bb1bf71a46e5d365cfa7ee589da78c32bec2abcdf",
-          "032ab7095f34ec129df65aae4d6ecb4b9245378eab957b881365a6296af0fe8cfb"
+          "02ed629f5808ad6583fde23bddb5b8322f863e0ec0510f5333a4290495654fcc30",
+          "037623c3e5f31cf37ceb2ffb22c27e0fa021296ebb0d15c498c464e6aaaa26a284",
+          "031dace735ca9ddda3520538729b9712f1bfb5001fcbc17c404b0bbadf85fc2cdd",
+          "02a0d8549074ea89a0d9c3cc86a3365c126c09e6755c03080bb4f6eb2fc81d7218",
+          "020e38610447e807e606db8a05625631a939b21d3d906d5d0a79c939b0384eeaca"
         ],
-        "shared_public_key": "02091b2332f6189e92c1aa2839f1a4e416e8e2ce83d566b4c5d70f128643fdddc4",
+        "shared_public_key": "025911bfb4c72e478d686c07e188db7d88a08f646b30ee421593708e4e947b8216",
         "vss_setup": {
           "I": [
             {
@@ -15294,52 +28239,103 @@
           ],
           "min_signers": 5
         },
-        "x": "ba5ee0dbf11689d74b05ad7c49364bbcd4bc28f849e3aa06a9ac170ec666f5b2"
+        "x": "0df1fc3a29fcf22e110724f9e5f0a6d50ff42b51992a35225b76d7365551235e"
       }
     },
     {
       "aux": {
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+            }
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
-          "028a3937e9f5a268d0f21d96f1a9d371b5f6890c3478d801e48bea4c0320847b46",
-          "032babc99cf49a3bd7e7bc0be36ce6d1a3699a2e16032e47ad5b2f25c55bf9bc83",
-          "03283630723b790f2861c5de1f49937339dad376e4c7dfe0aca4335f76d5d7b6ba",
-          "03149c72fa1f80c3e541779e1bb1bf71a46e5d365cfa7ee589da78c32bec2abcdf",
-          "032ab7095f34ec129df65aae4d6ecb4b9245378eab957b881365a6296af0fe8cfb"
+          "02ed629f5808ad6583fde23bddb5b8322f863e0ec0510f5333a4290495654fcc30",
+          "037623c3e5f31cf37ceb2ffb22c27e0fa021296ebb0d15c498c464e6aaaa26a284",
+          "031dace735ca9ddda3520538729b9712f1bfb5001fcbc17c404b0bbadf85fc2cdd",
+          "02a0d8549074ea89a0d9c3cc86a3365c126c09e6755c03080bb4f6eb2fc81d7218",
+          "020e38610447e807e606db8a05625631a939b21d3d906d5d0a79c939b0384eeaca"
         ],
-        "shared_public_key": "02091b2332f6189e92c1aa2839f1a4e416e8e2ce83d566b4c5d70f128643fdddc4",
+        "shared_public_key": "025911bfb4c72e478d686c07e188db7d88a08f646b30ee421593708e4e947b8216",
         "vss_setup": {
           "I": [
             {
@@ -15365,52 +28361,103 @@
           ],
           "min_signers": 5
         },
-        "x": "6d5ad05e70802883d15a254ff12e676dd723fbdaad62261a261bf0a7c054690c"
+        "x": "fde2b7167e4c4242d1d1687c0b0d079bddc56697fa54f514d1489e6aedcc7c1c"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
-          "028a3937e9f5a268d0f21d96f1a9d371b5f6890c3478d801e48bea4c0320847b46",
-          "032babc99cf49a3bd7e7bc0be36ce6d1a3699a2e16032e47ad5b2f25c55bf9bc83",
-          "03283630723b790f2861c5de1f49937339dad376e4c7dfe0aca4335f76d5d7b6ba",
-          "03149c72fa1f80c3e541779e1bb1bf71a46e5d365cfa7ee589da78c32bec2abcdf",
-          "032ab7095f34ec129df65aae4d6ecb4b9245378eab957b881365a6296af0fe8cfb"
+          "02ed629f5808ad6583fde23bddb5b8322f863e0ec0510f5333a4290495654fcc30",
+          "037623c3e5f31cf37ceb2ffb22c27e0fa021296ebb0d15c498c464e6aaaa26a284",
+          "031dace735ca9ddda3520538729b9712f1bfb5001fcbc17c404b0bbadf85fc2cdd",
+          "02a0d8549074ea89a0d9c3cc86a3365c126c09e6755c03080bb4f6eb2fc81d7218",
+          "020e38610447e807e606db8a05625631a939b21d3d906d5d0a79c939b0384eeaca"
         ],
-        "shared_public_key": "02091b2332f6189e92c1aa2839f1a4e416e8e2ce83d566b4c5d70f128643fdddc4",
+        "shared_public_key": "025911bfb4c72e478d686c07e188db7d88a08f646b30ee421593708e4e947b8216",
         "vss_setup": {
           "I": [
             {
@@ -15436,52 +28483,103 @@
           ],
           "min_signers": 5
         },
-        "x": "bf658d2c74598b224178f152365b3402455a4da8ddd62c5a78e573631269cf17"
+        "x": "6fb1e091d9075077f7f37d92184d1d78547fce3b4f917a3bf136943698ce7c18"
       }
     },
     {
       "aux": {
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+        },
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+            }
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
-          "028a3937e9f5a268d0f21d96f1a9d371b5f6890c3478d801e48bea4c0320847b46",
-          "032babc99cf49a3bd7e7bc0be36ce6d1a3699a2e16032e47ad5b2f25c55bf9bc83",
-          "03283630723b790f2861c5de1f49937339dad376e4c7dfe0aca4335f76d5d7b6ba",
-          "03149c72fa1f80c3e541779e1bb1bf71a46e5d365cfa7ee589da78c32bec2abcdf",
-          "032ab7095f34ec129df65aae4d6ecb4b9245378eab957b881365a6296af0fe8cfb"
+          "02ed629f5808ad6583fde23bddb5b8322f863e0ec0510f5333a4290495654fcc30",
+          "037623c3e5f31cf37ceb2ffb22c27e0fa021296ebb0d15c498c464e6aaaa26a284",
+          "031dace735ca9ddda3520538729b9712f1bfb5001fcbc17c404b0bbadf85fc2cdd",
+          "02a0d8549074ea89a0d9c3cc86a3365c126c09e6755c03080bb4f6eb2fc81d7218",
+          "020e38610447e807e606db8a05625631a939b21d3d906d5d0a79c939b0384eeaca"
         ],
-        "shared_public_key": "02091b2332f6189e92c1aa2839f1a4e416e8e2ce83d566b4c5d70f128643fdddc4",
+        "shared_public_key": "025911bfb4c72e478d686c07e188db7d88a08f646b30ee421593708e4e947b8216",
         "vss_setup": {
           "I": [
             {
@@ -15507,52 +28605,103 @@
           ],
           "min_signers": 5
         },
-        "x": "aff7ae1ae32b41affc27f7f66f7335d4885e451f3d3d0012be4b5dab20fa60ff"
+        "x": "06986c48ce7fceaa020bfdb6165c47719293b2ec4df1d5f18f8a7dd9343163d7"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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+            }
           }
         ],
-        "q": "9713f82a0882835bf5f5fe41ce49d550bd48ec95c10078fea338ccf0600a95f6fb0d53dc14796bc3160faa4b78c1e7574534f922e41cdccfe32286c69c29958a97b52165b639f52f044d68b1d782c022e8525927cd7c8f79e52352215f194e1678e5cdf28294df3e21e27fb3512233bd21bf298a8af3987806c4b326183a740ecdc07bd19744af47a1f291989bab9613e716015a785cf401bea49a1f471e815bf845064a710497c45b7a58934b492e4ebfa46cbce36a65c6eacf4cdb7b0ae367"
+        "q": {
+          "radix": 16,
+          "value": "81d99742e1e1bde70ff49e0bb566638b6ac60cc0cee1064eeba7506180a1587af41d59a0cc0cb953effe2abb50fe73b64ad90740e7fe300e22eaabbb377d1da30c087fbe930a4d9de455b44defa0e9b9364a37e189bfc60eddede6273e06fefe65f243d21d68481a5a259e031ddf5ea56926a854ddc58173401b1f1f5d69525a7dbee3e35e445d48aef9461097177c5f453fbbeec13b6a6f733ca369f7ea19dedc3d489a47602a6c99df8b00f7e733d365b786704177c25853630cc32758895b"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
-          "028a3937e9f5a268d0f21d96f1a9d371b5f6890c3478d801e48bea4c0320847b46",
-          "032babc99cf49a3bd7e7bc0be36ce6d1a3699a2e16032e47ad5b2f25c55bf9bc83",
-          "03283630723b790f2861c5de1f49937339dad376e4c7dfe0aca4335f76d5d7b6ba",
-          "03149c72fa1f80c3e541779e1bb1bf71a46e5d365cfa7ee589da78c32bec2abcdf",
-          "032ab7095f34ec129df65aae4d6ecb4b9245378eab957b881365a6296af0fe8cfb"
+          "02ed629f5808ad6583fde23bddb5b8322f863e0ec0510f5333a4290495654fcc30",
+          "037623c3e5f31cf37ceb2ffb22c27e0fa021296ebb0d15c498c464e6aaaa26a284",
+          "031dace735ca9ddda3520538729b9712f1bfb5001fcbc17c404b0bbadf85fc2cdd",
+          "02a0d8549074ea89a0d9c3cc86a3365c126c09e6755c03080bb4f6eb2fc81d7218",
+          "020e38610447e807e606db8a05625631a939b21d3d906d5d0a79c939b0384eeaca"
         ],
-        "shared_public_key": "02091b2332f6189e92c1aa2839f1a4e416e8e2ce83d566b4c5d70f128643fdddc4",
+        "shared_public_key": "025911bfb4c72e478d686c07e188db7d88a08f646b30ee421593708e4e947b8216",
         "vss_setup": {
           "I": [
             {
@@ -15578,54 +28727,105 @@
           ],
           "min_signers": 5
         },
-        "x": "91524ab4e79f125434c99f2b28d4ea167df830c298f8485c129ecc3c05c9c83d"
+        "x": "9a2262889f56c299e8ae1807b3b38a3ebe8969a024199e65bb05ecf06eba9ec9"
       }
     }
   ],
   "t=Some(5),n=5,curve=secp256r1": [
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
           {
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+            },
+            "t": {
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+            }
           }
         ],
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
-          "0372a9d4a42ea18cb0bfcfddb91b5c0f5c112a31791a8606a769e8b9b2384d27cb",
-          "02d9e7d9d4568cc4582351681afa1273f1e9d14e3863a8aa831e50602edfacc872",
-          "02537561ef3c87f5bb99aa04d8aab2561174f0f6e646966eb714bcde090faaea97",
-          "02fea8d012800bb6ba36d7007eabd88ffb6b9b69457388e73857fbdf5501d4fbab",
-          "03811525f26122fd9eae2ddf1e4c59e5e58694d28b14d5326b26fa58e968bf052f"
+          "039eeabf78db923024aaeaadebe0f8ef584d8fae3aaa90838345d2ee5d1d4393f5",
+          "03009ba76432e5152e55ead9059fa658263d0641dc1ebf769bf46e66275d85afdf",
+          "02a7999e2e05e33ff30dd8c2abce2a818aa3e3d896a913fcdccfd6077aefb0bf27",
+          "032d7922edc81baf02c5107647e4a7d9596273375a8beb552fae6ea5663e3a13a6",
+          "02084496fc46b632b3b1f5584bc4ead1cef942bedf8f0e0efbef8fc35cb1373ab3"
         ],
-        "shared_public_key": "03a6a77cf6874eaf99c6db56179a06dc5cc60ed7e75f7b3c7f2b110e8884c168fb",
+        "shared_public_key": "0217ee7728615ba66cbb17bbeca79ea9829ed0d995ee50c62a938c3b4121ea7104",
         "vss_setup": {
           "I": [
             {
@@ -15651,52 +28851,103 @@
           ],
           "min_signers": 5
         },
-        "x": "c80bb513f6fd1417790ce93c97547eb918793c6a8abc17b9a107158ee62e5731"
+        "x": "053ef046c24c4b127c0ca9d98ac65391fa3208f706b87d6d499d39c00cc97bab"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+            }
           }
         ],
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
-          "0372a9d4a42ea18cb0bfcfddb91b5c0f5c112a31791a8606a769e8b9b2384d27cb",
-          "02d9e7d9d4568cc4582351681afa1273f1e9d14e3863a8aa831e50602edfacc872",
-          "02537561ef3c87f5bb99aa04d8aab2561174f0f6e646966eb714bcde090faaea97",
-          "02fea8d012800bb6ba36d7007eabd88ffb6b9b69457388e73857fbdf5501d4fbab",
-          "03811525f26122fd9eae2ddf1e4c59e5e58694d28b14d5326b26fa58e968bf052f"
+          "039eeabf78db923024aaeaadebe0f8ef584d8fae3aaa90838345d2ee5d1d4393f5",
+          "03009ba76432e5152e55ead9059fa658263d0641dc1ebf769bf46e66275d85afdf",
+          "02a7999e2e05e33ff30dd8c2abce2a818aa3e3d896a913fcdccfd6077aefb0bf27",
+          "032d7922edc81baf02c5107647e4a7d9596273375a8beb552fae6ea5663e3a13a6",
+          "02084496fc46b632b3b1f5584bc4ead1cef942bedf8f0e0efbef8fc35cb1373ab3"
         ],
-        "shared_public_key": "03a6a77cf6874eaf99c6db56179a06dc5cc60ed7e75f7b3c7f2b110e8884c168fb",
+        "shared_public_key": "0217ee7728615ba66cbb17bbeca79ea9829ed0d995ee50c62a938c3b4121ea7104",
         "vss_setup": {
           "I": [
             {
@@ -15722,52 +28973,103 @@
           ],
           "min_signers": 5
         },
-        "x": "eb7c9dd27e3b6d88985f684cf0f293608cacc7396b0c6444c528fe1fc79b2e74"
+        "x": "2d2c43108dd0510c0d5cb1315d76fd63f6fab570ba31b6594f92cb3c683e8b0a"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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+            }
           }
         ],
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
-          "0372a9d4a42ea18cb0bfcfddb91b5c0f5c112a31791a8606a769e8b9b2384d27cb",
-          "02d9e7d9d4568cc4582351681afa1273f1e9d14e3863a8aa831e50602edfacc872",
-          "02537561ef3c87f5bb99aa04d8aab2561174f0f6e646966eb714bcde090faaea97",
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-          "03811525f26122fd9eae2ddf1e4c59e5e58694d28b14d5326b26fa58e968bf052f"
+          "039eeabf78db923024aaeaadebe0f8ef584d8fae3aaa90838345d2ee5d1d4393f5",
+          "03009ba76432e5152e55ead9059fa658263d0641dc1ebf769bf46e66275d85afdf",
+          "02a7999e2e05e33ff30dd8c2abce2a818aa3e3d896a913fcdccfd6077aefb0bf27",
+          "032d7922edc81baf02c5107647e4a7d9596273375a8beb552fae6ea5663e3a13a6",
+          "02084496fc46b632b3b1f5584bc4ead1cef942bedf8f0e0efbef8fc35cb1373ab3"
         ],
-        "shared_public_key": "03a6a77cf6874eaf99c6db56179a06dc5cc60ed7e75f7b3c7f2b110e8884c168fb",
+        "shared_public_key": "0217ee7728615ba66cbb17bbeca79ea9829ed0d995ee50c62a938c3b4121ea7104",
         "vss_setup": {
           "I": [
             {
@@ -15793,52 +29095,103 @@
           ],
           "min_signers": 5
         },
-        "x": "1e0ed9f7f9631ccbe0ba9d2a8beb53abb14404d7bea3715fefbc557113add122"
+        "x": "88dfaf6b9305088ae39caa51fb9d43832fdc5217fd72a4de9cd8c79482081dc3"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+            }
           }
         ],
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+        "q": {
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+          "value": "c0cb8c549b97a33002a47e701b971076254658a9cd5c8e2065e229af37bb34a475f1376bb38d56a2ac2b1e3215b63780fc295063aafa0c6e6a80f5e05ba2baf0437f497a620524ad9f7bb78642adfa90ef36be584e68f49d60d7941ebe955043a9cc8fea564e5b5041f3d06cd68b431082252353521411404f60ae72c93bd0b826ed972f5162917b43a5e33af6fb64d8f38ad0918e8bb9d34e305ec3604033d63fcb07050e292351ed130b2ea1ce529aff6f752986185413a934e19350cd672b"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
-          "0372a9d4a42ea18cb0bfcfddb91b5c0f5c112a31791a8606a769e8b9b2384d27cb",
-          "02d9e7d9d4568cc4582351681afa1273f1e9d14e3863a8aa831e50602edfacc872",
-          "02537561ef3c87f5bb99aa04d8aab2561174f0f6e646966eb714bcde090faaea97",
-          "02fea8d012800bb6ba36d7007eabd88ffb6b9b69457388e73857fbdf5501d4fbab",
-          "03811525f26122fd9eae2ddf1e4c59e5e58694d28b14d5326b26fa58e968bf052f"
+          "039eeabf78db923024aaeaadebe0f8ef584d8fae3aaa90838345d2ee5d1d4393f5",
+          "03009ba76432e5152e55ead9059fa658263d0641dc1ebf769bf46e66275d85afdf",
+          "02a7999e2e05e33ff30dd8c2abce2a818aa3e3d896a913fcdccfd6077aefb0bf27",
+          "032d7922edc81baf02c5107647e4a7d9596273375a8beb552fae6ea5663e3a13a6",
+          "02084496fc46b632b3b1f5584bc4ead1cef942bedf8f0e0efbef8fc35cb1373ab3"
         ],
-        "shared_public_key": "03a6a77cf6874eaf99c6db56179a06dc5cc60ed7e75f7b3c7f2b110e8884c168fb",
+        "shared_public_key": "0217ee7728615ba66cbb17bbeca79ea9829ed0d995ee50c62a938c3b4121ea7104",
         "vss_setup": {
           "I": [
             {
@@ -15864,52 +29217,103 @@
           ],
           "min_signers": 5
         },
-        "x": "63fe58675cded58ea75173c1fab9cef1ddbace2a051ce8c0979bc3a1180a66ce"
+        "x": "eca1d3ddaa71cd26b029f03e39ebf781a0eba244b4ec5cc8d2e1d0f5eef95230"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "a8dc2dd55f9ad42d1abe5d98dcc1d4ee6c0bcaa25fb075e5d5a40830f57735f7c0bd749a2fb15949047b99c79bfe1061b8bae0e5fb816e667e2359b587e5c6213393c504bc731f2820c71b2cfd25bd73195ba66c517b5edc8010790866e70d46c76fdf489e71839edb25fcb9fc94611fac76e4affa4dc9d435fdd06eafdaf6e1edccf8b8dd40f188700404deff7c1e758f3fc85f53798dcc8b0d9e234e4898e1cf884c482c1430729a6ed84524fdcfa4ededc95b02c5c4827b0cc7d17ba2d90f"
+        },
         "parties": [
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+            },
+            "t": {
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+            }
           }
         ],
-        "q": "8b86071a122af86327dcc69ced7923eb81f81730b3d0c7260d241831c737cc7ba4dc5cd4d31dec8fae12858ddcdf42d669ece9960ebc384132e8238e300b8c790ba64a777ef1df815ba0893a58243f5b343565dbd81c4522d8c18a2b83020c21bf49a7883d27687c899581b899f4f57a167fae7822fb36a744a9e5f307f28a89e49bc4822bbd914a327767497386dc51171ac6a6d712674bd63e43f7913a1c6a18913686fb49d4b3b29bdd257de9d37cbb83899cd442e14c62c66ac0a069d69f"
+        "q": {
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+          "value": "eea3c1d8db0ec6195fd1fdfd4856a01ab93e425a4932856cb0240e8b76a6fe17b5bc1ff24aba67f9c4af2d2f176e3166f87bf45c98d5ba4e623795ca60ca82bcd167e99cb1ab6254b1075000c3b10233484b4c4fa1056033508bac049230bd53001aa231ffd2417da48ce25cdf4299a4e724820d5c20323d484b0d3bceee2e113656cb226ee0327f776b5004b5e35aeb974420d6f0ea74fe2ee701ee1d333e215c9fa39687d347745d68f680a0a431d9a132a651feeaa7c067b07d6b3194327f"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
-          "0372a9d4a42ea18cb0bfcfddb91b5c0f5c112a31791a8606a769e8b9b2384d27cb",
-          "02d9e7d9d4568cc4582351681afa1273f1e9d14e3863a8aa831e50602edfacc872",
-          "02537561ef3c87f5bb99aa04d8aab2561174f0f6e646966eb714bcde090faaea97",
-          "02fea8d012800bb6ba36d7007eabd88ffb6b9b69457388e73857fbdf5501d4fbab",
-          "03811525f26122fd9eae2ddf1e4c59e5e58694d28b14d5326b26fa58e968bf052f"
+          "039eeabf78db923024aaeaadebe0f8ef584d8fae3aaa90838345d2ee5d1d4393f5",
+          "03009ba76432e5152e55ead9059fa658263d0641dc1ebf769bf46e66275d85afdf",
+          "02a7999e2e05e33ff30dd8c2abce2a818aa3e3d896a913fcdccfd6077aefb0bf27",
+          "032d7922edc81baf02c5107647e4a7d9596273375a8beb552fae6ea5663e3a13a6",
+          "02084496fc46b632b3b1f5584bc4ead1cef942bedf8f0e0efbef8fc35cb1373ab3"
         ],
-        "shared_public_key": "03a6a77cf6874eaf99c6db56179a06dc5cc60ed7e75f7b3c7f2b110e8884c168fb",
+        "shared_public_key": "0217ee7728615ba66cbb17bbeca79ea9829ed0d995ee50c62a938c3b4121ea7104",
         "vss_setup": {
           "I": [
             {
@@ -15935,66 +29339,135 @@
           ],
           "min_signers": 5
         },
-        "x": "95105b032bfff159cc27a5f723e2f4e21131fcb77becbc6b1413b3622fe71c63"
+        "x": "0c44cf52198354e9bdc5807ba04a3bb534189d0b71de5f065743b3e7a9e199b4"
       }
     }
   ],
   "t=Some(5),n=7,curve=secp256k1": [
     {
       "aux": {
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+        "p": {
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+          "value": "bee212507d7fd6314f84b733f18ba7257287c2f0b32698eb4c9c3bd3b584bdf7017688f43d7116357d6b590d980672021bb2b3777c52c67d3bebb2ddc4ce5392262f084772d386698e7600f1645e1b37713720a2cd1e19b7de07388d95cc817203c273c4f343e0b842e37dc3afe778567834a207e346e7068e4e36d513442906ec442defdefd0cdb91b321d3ab24770efb07f5bd7e954f73faa165785c282c4c11db3a4b73ddd2b649f469c88a26163788f0a04e3540427690276b87cd04494b"
+        },
         "parties": [
           {
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+            },
+            "t": {
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+            }
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
-          "03d43f1821021b576d014eb77442855dcd3dd8d11ec9f5c941989f5f22e18fd231",
-          "035d00ecbb28eafc02be0dff5c3baccd386949489bc6507815f3b22267a071d66a",
-          "0261cef967b3e2f5b1e94501e644b324d981d82aa20b40705cd20db41f58498301",
-          "023a95ae37db7507c7fc705fb8b4787a13dc502b91288e6943d17eacca55f45805",
-          "02578962197abef6f033bd96f93ddc80ddd4a8c9359ef555e5e48561b89f336ede",
-          "029d3acc7c5d551bd853adf117bf924c6029be16a11c6745d0d27b838d9a02a539",
-          "03d0fa0c0d7ad258702a8cbdd7fc88b4045024bcf04d6b2e5ec7cb5d5cbab0debb"
-        ],
-        "shared_public_key": "03aeddb2470bb343faf4abac9c21d148b59361e2c42a4f4b562c11e4ff817b1e4a",
+          "033b3e9c6501c8da4e34f887a4ffa72ef8c51a6aa7441a0b1fd15d140f955324e5",
+          "035e67326de7bd758d03ea8e053b0f3690bb08c523da7ef68957072d90f864df36",
+          "034873b2bdb89a5c3704876d311419b5e662991ce2775b38765beb80c2e425264b",
+          "0386422d1f3fe81947e37209a4459e0a17a02abd0efa236cb5f5fd1a19e0d3ad4f",
+          "036b75e4d8063b5ed57c061bd695782c8e8b7055edc96c2c62f92ddacab7d1a711",
+          "02f96fd6fc107ee5c08742f754b79089773a0cb801689a42ecdc7d6a1ad08845b1",
+          "032a5af141568d3412c6bed574c6f5aedf4cfe969894fa094828485abe84e81a08"
+        ],
+        "shared_public_key": "03bad1bf057b47cb23165f868ab3f29afa5685c4bca4072f9e1c34ee7b4c6f2ae8",
         "vss_setup": {
           "I": [
             {
@@ -16028,64 +29501,133 @@
           ],
           "min_signers": 5
         },
-        "x": "88adebd55bea87665bfb6a98744e17d22c727ebf34dab7b3c07d94d274fe31ab"
+        "x": "28f395eced3f5dc713ed33253adcdc3940fb23deb446ae85b80c6f6fb91f9953"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
-          "03d43f1821021b576d014eb77442855dcd3dd8d11ec9f5c941989f5f22e18fd231",
-          "035d00ecbb28eafc02be0dff5c3baccd386949489bc6507815f3b22267a071d66a",
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-          "029d3acc7c5d551bd853adf117bf924c6029be16a11c6745d0d27b838d9a02a539",
-          "03d0fa0c0d7ad258702a8cbdd7fc88b4045024bcf04d6b2e5ec7cb5d5cbab0debb"
-        ],
-        "shared_public_key": "03aeddb2470bb343faf4abac9c21d148b59361e2c42a4f4b562c11e4ff817b1e4a",
+          "033b3e9c6501c8da4e34f887a4ffa72ef8c51a6aa7441a0b1fd15d140f955324e5",
+          "035e67326de7bd758d03ea8e053b0f3690bb08c523da7ef68957072d90f864df36",
+          "034873b2bdb89a5c3704876d311419b5e662991ce2775b38765beb80c2e425264b",
+          "0386422d1f3fe81947e37209a4459e0a17a02abd0efa236cb5f5fd1a19e0d3ad4f",
+          "036b75e4d8063b5ed57c061bd695782c8e8b7055edc96c2c62f92ddacab7d1a711",
+          "02f96fd6fc107ee5c08742f754b79089773a0cb801689a42ecdc7d6a1ad08845b1",
+          "032a5af141568d3412c6bed574c6f5aedf4cfe969894fa094828485abe84e81a08"
+        ],
+        "shared_public_key": "03bad1bf057b47cb23165f868ab3f29afa5685c4bca4072f9e1c34ee7b4c6f2ae8",
         "vss_setup": {
           "I": [
             {
@@ -16119,64 +29661,133 @@
           ],
           "min_signers": 5
         },
-        "x": "967f4fd40b1fafb23bfe4001338e4289595dabe3d92d3a3efe050dabe13f093e"
+        "x": "9d2417cc7da3298443f2cb82994a968595fa5a55128184c1dbce84aca54ea7d7"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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+            }
           }
         ],
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+        "q": {
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+          "value": "875f98a14611f62f6c3042b713613494a8e6439eb10f2c785bcead93fc15e043b09f18c5ed1af5992b40fe8e243bd1f1eb32f91c0c93b3c6abbc7e4e4bf22d40a44c0c80a8c836473f89639d269f0394447d8ef42000a4ac1de0d6b27d5102a2f9d83fc9646a7d44507d166bcebe2af2d158ff902139a859a3d72b4767197ed953afaaf10d3f8a8f277789be9a812626a5907cae697748bac2738948a7459d4f0d860e69da32659b112aa81ed148672b30a8353d0b5033466e060e88ffb55c37"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
-          "03d43f1821021b576d014eb77442855dcd3dd8d11ec9f5c941989f5f22e18fd231",
-          "035d00ecbb28eafc02be0dff5c3baccd386949489bc6507815f3b22267a071d66a",
-          "0261cef967b3e2f5b1e94501e644b324d981d82aa20b40705cd20db41f58498301",
-          "023a95ae37db7507c7fc705fb8b4787a13dc502b91288e6943d17eacca55f45805",
-          "02578962197abef6f033bd96f93ddc80ddd4a8c9359ef555e5e48561b89f336ede",
-          "029d3acc7c5d551bd853adf117bf924c6029be16a11c6745d0d27b838d9a02a539",
-          "03d0fa0c0d7ad258702a8cbdd7fc88b4045024bcf04d6b2e5ec7cb5d5cbab0debb"
-        ],
-        "shared_public_key": "03aeddb2470bb343faf4abac9c21d148b59361e2c42a4f4b562c11e4ff817b1e4a",
+          "033b3e9c6501c8da4e34f887a4ffa72ef8c51a6aa7441a0b1fd15d140f955324e5",
+          "035e67326de7bd758d03ea8e053b0f3690bb08c523da7ef68957072d90f864df36",
+          "034873b2bdb89a5c3704876d311419b5e662991ce2775b38765beb80c2e425264b",
+          "0386422d1f3fe81947e37209a4459e0a17a02abd0efa236cb5f5fd1a19e0d3ad4f",
+          "036b75e4d8063b5ed57c061bd695782c8e8b7055edc96c2c62f92ddacab7d1a711",
+          "02f96fd6fc107ee5c08742f754b79089773a0cb801689a42ecdc7d6a1ad08845b1",
+          "032a5af141568d3412c6bed574c6f5aedf4cfe969894fa094828485abe84e81a08"
+        ],
+        "shared_public_key": "03bad1bf057b47cb23165f868ab3f29afa5685c4bca4072f9e1c34ee7b4c6f2ae8",
         "vss_setup": {
           "I": [
             {
@@ -16210,64 +29821,133 @@
           ],
           "min_signers": 5
         },
-        "x": "3b4e5002091190f996abe871fcfa6c0964027f8836ddbb2f91197cc97c5ca3fe"
+        "x": "c50a1210e1173f7cc769428bf167bbae31f31a749533d2efe3ba273ac95c5f9d"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+            },
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+            }
           }
         ],
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
-          "03d43f1821021b576d014eb77442855dcd3dd8d11ec9f5c941989f5f22e18fd231",
-          "035d00ecbb28eafc02be0dff5c3baccd386949489bc6507815f3b22267a071d66a",
-          "0261cef967b3e2f5b1e94501e644b324d981d82aa20b40705cd20db41f58498301",
-          "023a95ae37db7507c7fc705fb8b4787a13dc502b91288e6943d17eacca55f45805",
-          "02578962197abef6f033bd96f93ddc80ddd4a8c9359ef555e5e48561b89f336ede",
-          "029d3acc7c5d551bd853adf117bf924c6029be16a11c6745d0d27b838d9a02a539",
-          "03d0fa0c0d7ad258702a8cbdd7fc88b4045024bcf04d6b2e5ec7cb5d5cbab0debb"
-        ],
-        "shared_public_key": "03aeddb2470bb343faf4abac9c21d148b59361e2c42a4f4b562c11e4ff817b1e4a",
+          "033b3e9c6501c8da4e34f887a4ffa72ef8c51a6aa7441a0b1fd15d140f955324e5",
+          "035e67326de7bd758d03ea8e053b0f3690bb08c523da7ef68957072d90f864df36",
+          "034873b2bdb89a5c3704876d311419b5e662991ce2775b38765beb80c2e425264b",
+          "0386422d1f3fe81947e37209a4459e0a17a02abd0efa236cb5f5fd1a19e0d3ad4f",
+          "036b75e4d8063b5ed57c061bd695782c8e8b7055edc96c2c62f92ddacab7d1a711",
+          "02f96fd6fc107ee5c08742f754b79089773a0cb801689a42ecdc7d6a1ad08845b1",
+          "032a5af141568d3412c6bed574c6f5aedf4cfe969894fa094828485abe84e81a08"
+        ],
+        "shared_public_key": "03bad1bf057b47cb23165f868ab3f29afa5685c4bca4072f9e1c34ee7b4c6f2ae8",
         "vss_setup": {
           "I": [
             {
@@ -16301,64 +29981,133 @@
           ],
           "min_signers": 5
         },
-        "x": "c363cc5db2e9262f852a2b785baddea64e34db217b48226c63dc89ee2148179b"
+        "x": "7efacbcceebae5f3e622b9ea75316e170a92ffe3c03b97c9188e9bcd04de03e4"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
           {
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
-          "03d43f1821021b576d014eb77442855dcd3dd8d11ec9f5c941989f5f22e18fd231",
-          "035d00ecbb28eafc02be0dff5c3baccd386949489bc6507815f3b22267a071d66a",
-          "0261cef967b3e2f5b1e94501e644b324d981d82aa20b40705cd20db41f58498301",
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-          "03d0fa0c0d7ad258702a8cbdd7fc88b4045024bcf04d6b2e5ec7cb5d5cbab0debb"
-        ],
-        "shared_public_key": "03aeddb2470bb343faf4abac9c21d148b59361e2c42a4f4b562c11e4ff817b1e4a",
+          "033b3e9c6501c8da4e34f887a4ffa72ef8c51a6aa7441a0b1fd15d140f955324e5",
+          "035e67326de7bd758d03ea8e053b0f3690bb08c523da7ef68957072d90f864df36",
+          "034873b2bdb89a5c3704876d311419b5e662991ce2775b38765beb80c2e425264b",
+          "0386422d1f3fe81947e37209a4459e0a17a02abd0efa236cb5f5fd1a19e0d3ad4f",
+          "036b75e4d8063b5ed57c061bd695782c8e8b7055edc96c2c62f92ddacab7d1a711",
+          "02f96fd6fc107ee5c08742f754b79089773a0cb801689a42ecdc7d6a1ad08845b1",
+          "032a5af141568d3412c6bed574c6f5aedf4cfe969894fa094828485abe84e81a08"
+        ],
+        "shared_public_key": "03bad1bf057b47cb23165f868ab3f29afa5685c4bca4072f9e1c34ee7b4c6f2ae8",
         "vss_setup": {
           "I": [
             {
@@ -16392,64 +30141,133 @@
           ],
           "min_signers": 5
         },
-        "x": "3b9df8d789f99daf29733ab2900eed00d24c5e693dc410b3aab012cf40a7fea1"
+        "x": "8fc20acce1b333a74d8a6927f27b0ab00836aeb89bd9f1150c69ce433354b00b"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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+            }
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 5,
         "public_shares": [
-          "03d43f1821021b576d014eb77442855dcd3dd8d11ec9f5c941989f5f22e18fd231",
-          "035d00ecbb28eafc02be0dff5c3baccd386949489bc6507815f3b22267a071d66a",
-          "0261cef967b3e2f5b1e94501e644b324d981d82aa20b40705cd20db41f58498301",
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-          "02578962197abef6f033bd96f93ddc80ddd4a8c9359ef555e5e48561b89f336ede",
-          "029d3acc7c5d551bd853adf117bf924c6029be16a11c6745d0d27b838d9a02a539",
-          "03d0fa0c0d7ad258702a8cbdd7fc88b4045024bcf04d6b2e5ec7cb5d5cbab0debb"
-        ],
-        "shared_public_key": "03aeddb2470bb343faf4abac9c21d148b59361e2c42a4f4b562c11e4ff817b1e4a",
+          "033b3e9c6501c8da4e34f887a4ffa72ef8c51a6aa7441a0b1fd15d140f955324e5",
+          "035e67326de7bd758d03ea8e053b0f3690bb08c523da7ef68957072d90f864df36",
+          "034873b2bdb89a5c3704876d311419b5e662991ce2775b38765beb80c2e425264b",
+          "0386422d1f3fe81947e37209a4459e0a17a02abd0efa236cb5f5fd1a19e0d3ad4f",
+          "036b75e4d8063b5ed57c061bd695782c8e8b7055edc96c2c62f92ddacab7d1a711",
+          "02f96fd6fc107ee5c08742f754b79089773a0cb801689a42ecdc7d6a1ad08845b1",
+          "032a5af141568d3412c6bed574c6f5aedf4cfe969894fa094828485abe84e81a08"
+        ],
+        "shared_public_key": "03bad1bf057b47cb23165f868ab3f29afa5685c4bca4072f9e1c34ee7b4c6f2ae8",
         "vss_setup": {
           "I": [
             {
@@ -16483,64 +30301,133 @@
           ],
           "min_signers": 5
         },
-        "x": "71705d5233c0593bae55b1cf8fcef1fd7dec71ac4aa1413d22f6c0ee9254413f"
+        "x": "a2a21396592b0fcf10a49daed2ee28f7908c19ab5621db321b2394908bc0d50f"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+            },
+            "t": {
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+              "value": "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"
+            }
           }
         ],
-        "q": "f61b733525db6b40ced5b1cd1a0e53545467dbde7e7eafddf34f2d789d385d8bd4a42aad9964778a0f3881a29b6e109fa397262919feaaef4b41d310ad1765258aa7cbc2cff3f0b940c088bd3af468986b67edaf10c05ca31bc3100fd5740d0b94cab9aaa94a65a21bb7e6d7886d86ea6fad3bf2e7f467607c5479d99e9fa767f95f1ebadff1563602184244588a29fe4b4211560ba92c281b422d1dc6c07f3f8744ea7186bdfd2905c03b6d8b3e9e52163d6f81957dfbb829bb2e4d5c0cafd3"
+        "q": {
+          "radix": 16,
+          "value": "c7d6bac5e541e702d8c70a86dcb75b30eba409d224a606f88f58900053141acba62e781fe0ba5b8c6508b86ec11fe2c57734240376c1acca7c86fd4d551523e8866adf2ed5c021b309fd9740c1a98dd772795107afbfe746986a9b501745ee22e1ff40cd4a3bf8c2f4d6e098f5d241dc7e5fc93604893743ef221c9ad3b9e7bebbe2abf295d5282c0597b54e512459a11d2dd29fd719d38d36581447db686349343976deb4c0261f24786476e239d6e81ee189bf7568b915503e0cc110e01c8b"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 6,
         "public_shares": [
-          "03d43f1821021b576d014eb77442855dcd3dd8d11ec9f5c941989f5f22e18fd231",
-          "035d00ecbb28eafc02be0dff5c3baccd386949489bc6507815f3b22267a071d66a",
-          "0261cef967b3e2f5b1e94501e644b324d981d82aa20b40705cd20db41f58498301",
-          "023a95ae37db7507c7fc705fb8b4787a13dc502b91288e6943d17eacca55f45805",
-          "02578962197abef6f033bd96f93ddc80ddd4a8c9359ef555e5e48561b89f336ede",
-          "029d3acc7c5d551bd853adf117bf924c6029be16a11c6745d0d27b838d9a02a539",
-          "03d0fa0c0d7ad258702a8cbdd7fc88b4045024bcf04d6b2e5ec7cb5d5cbab0debb"
-        ],
-        "shared_public_key": "03aeddb2470bb343faf4abac9c21d148b59361e2c42a4f4b562c11e4ff817b1e4a",
+          "033b3e9c6501c8da4e34f887a4ffa72ef8c51a6aa7441a0b1fd15d140f955324e5",
+          "035e67326de7bd758d03ea8e053b0f3690bb08c523da7ef68957072d90f864df36",
+          "034873b2bdb89a5c3704876d311419b5e662991ce2775b38765beb80c2e425264b",
+          "0386422d1f3fe81947e37209a4459e0a17a02abd0efa236cb5f5fd1a19e0d3ad4f",
+          "036b75e4d8063b5ed57c061bd695782c8e8b7055edc96c2c62f92ddacab7d1a711",
+          "02f96fd6fc107ee5c08742f754b79089773a0cb801689a42ecdc7d6a1ad08845b1",
+          "032a5af141568d3412c6bed574c6f5aedf4cfe969894fa094828485abe84e81a08"
+        ],
+        "shared_public_key": "03bad1bf057b47cb23165f868ab3f29afa5685c4bca4072f9e1c34ee7b4c6f2ae8",
         "vss_setup": {
           "I": [
             {
@@ -16574,66 +30461,135 @@
           ],
           "min_signers": 5
         },
-        "x": "f2e3d5a279e4ee004774968f05ea50cc51eb18628773c8539425d24d34108dc1"
+        "x": "4953a9685853321da80ebaca1c0a9af941415efcf240d1512a200d4870d87acc"
       }
     }
   ],
   "t=Some(5),n=7,curve=secp256r1": [
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "b3c3fbbbb3009370d58d870986b27a940308f2d040f81e21b58f1586f882a00e792f9b111a455a8ba794f34dc48236e77fd3ccd2714f5c9635e4ce5c54672c41f94c79fffccc46c7e37379bcd2c1a37309ca09e47fc77a50101a904fb0c900becbdf7edf9f05fee81ab53af5aeb71977cce7fe54725e5b78e20530f0c264b41352c342ef379f1567f6ce0e45a031686bfcb44b316b9909414e8ab5ba5d2ae3d6fe6a5f0e9148f025f6720477a3f81046eadf17ecce6351b527275beab620f8c7"
+        },
         "parties": [
           {
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+            },
+            "t": {
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+            }
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
-          "02992459bf0a3fb0d3fe703a5f164b2dd5213317782a516cacdef1448a45f37288",
-          "02dd031d1dcad5a3cf4373b534cc6db5bc57f02d7d579700a5314164347a34ad9a",
-          "0374bd0268cb983ef9690bdcca866f914c5c71c73491917f7d45813212f567f8c6",
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-          "03b71ac4135f47426eeb422d5d4aaf224421022b3b2749d799b2732bfee2780415",
-          "03e879722b0b2e6fc5c38531d8cf25370edcd7c2b935bbf6fd71b570d8b3980359"
-        ],
-        "shared_public_key": "039ae61bd1332055dca3b2323ec22150cfbb60198b124eaac5a6e5eb56a037afa2",
+          "02b70ce6d2d614d72b9a9805abae8027796c10ff0f9714c33f94259bc1537ebe02",
+          "02132c34916e7487e4165efad092f37773354ef871997ad4e67a15088a931dec1e",
+          "02349246ff30205bbe0871514e7409342ec1e8401545da3e1cd9a9ded728b8223a",
+          "03f4c23d4f5116ee50e2dbfeebcaf818bc94917e86d6a5f8a756514b88ea1fab1b",
+          "030e0a6c14a04b8f10954b2032d352c693e521b681c86d325a2678fcb209aa8b28",
+          "039944b0a8f5cbbf85dcbcbec75906f5594249375ec919eedfb10b288187d622c8",
+          "02f404f2345985400aee117a2c1a59d903fca2ccfb350225fc6ef6612b682d4546"
+        ],
+        "shared_public_key": "02ca40690ff573b65a66982a6bd299400159f25da6180c6824003cc5710e692ed2",
         "vss_setup": {
           "I": [
             {
@@ -16667,64 +30623,133 @@
           ],
           "min_signers": 5
         },
-        "x": "cdbc2b5cfc3ac32467143b4386f64bca2cc0b6d36423968e098b598e74ac0def"
+        "x": "1cfaf625b1864c5e80d3de12fedb003a927760074d97dd63c01e2df4b53d1c7b"
       }
     },
     {
       "aux": {
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       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
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-        "shared_public_key": "039ae61bd1332055dca3b2323ec22150cfbb60198b124eaac5a6e5eb56a037afa2",
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+          "02132c34916e7487e4165efad092f37773354ef871997ad4e67a15088a931dec1e",
+          "02349246ff30205bbe0871514e7409342ec1e8401545da3e1cd9a9ded728b8223a",
+          "03f4c23d4f5116ee50e2dbfeebcaf818bc94917e86d6a5f8a756514b88ea1fab1b",
+          "030e0a6c14a04b8f10954b2032d352c693e521b681c86d325a2678fcb209aa8b28",
+          "039944b0a8f5cbbf85dcbcbec75906f5594249375ec919eedfb10b288187d622c8",
+          "02f404f2345985400aee117a2c1a59d903fca2ccfb350225fc6ef6612b682d4546"
+        ],
+        "shared_public_key": "02ca40690ff573b65a66982a6bd299400159f25da6180c6824003cc5710e692ed2",
         "vss_setup": {
           "I": [
             {
@@ -16758,64 +30783,133 @@
           ],
           "min_signers": 5
         },
-        "x": "39edca96692913093c8db3793e4ff28c999dc3dd8ca79bff6b377d887f954f72"
+        "x": "b8d2521ab606dcff774bdacf74fc3b057262ffa82f78a9c878c3a48a86131f18"
       }
     },
     {
       "aux": {
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+            },
+            "t": {
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+            }
           }
         ],
-        "q": "d3e78b84a1e43772f0ddf0d2ce43613d162ece2d38e05119f8a049eb26f7ab3a114cb2f39946d7161cd92b7966f67369e36b4edfc33aa36bd88c6096e603ac4c9f7a3b45c873099881e1ccdb9b9be9038eddf64b7266eaeb98766d7af24ce9130174a4bb5871fae94d87770b5f5c1087ff3728e8e118ddcf5f26fcaef55dd934d2baf7993d10824baa54729c013e04f01b4ab90cf03de961b524ed2fbc2f38fb4bea9b7a42353c1ac8db4735b6a1acaa627cb8f98fee48451e4033697dd6fc3b"
+        "q": {
+          "radix": 16,
+          "value": "cce37a99dafcbae8a631d11a48d8babfbb81c55f52251092aad278c98c0f2115a074b8f73e6b61cad2a393d217bff8720b512c3935783a407216ca9995c42c9f392a391e4513c2f5239f4a79f64dcb42a1498fcf06594abfe341789d42ad9191b3cf1eb043f71e12485d73bf4ed2bea28a117f87174611ff9885abdbbf79619a887e1927e80d19d17a7761fc2e28368449d03fb0e8b0b19197d9ed536ef9b3f762330f637d9c5adde76f5f8513df9564476f5f846b2a88564f1397764e419a4f"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
-          "02992459bf0a3fb0d3fe703a5f164b2dd5213317782a516cacdef1448a45f37288",
-          "02dd031d1dcad5a3cf4373b534cc6db5bc57f02d7d579700a5314164347a34ad9a",
-          "0374bd0268cb983ef9690bdcca866f914c5c71c73491917f7d45813212f567f8c6",
-          "020493799f253ff9745cf4f337055ad4e976c207ef4198e6394b6cbf84feae456e",
-          "025177de020d0528223700933fbc1f058337c8f7a99e51f6cf8567f26ea481379c",
-          "03b71ac4135f47426eeb422d5d4aaf224421022b3b2749d799b2732bfee2780415",
-          "03e879722b0b2e6fc5c38531d8cf25370edcd7c2b935bbf6fd71b570d8b3980359"
-        ],
-        "shared_public_key": "039ae61bd1332055dca3b2323ec22150cfbb60198b124eaac5a6e5eb56a037afa2",
+          "02b70ce6d2d614d72b9a9805abae8027796c10ff0f9714c33f94259bc1537ebe02",
+          "02132c34916e7487e4165efad092f37773354ef871997ad4e67a15088a931dec1e",
+          "02349246ff30205bbe0871514e7409342ec1e8401545da3e1cd9a9ded728b8223a",
+          "03f4c23d4f5116ee50e2dbfeebcaf818bc94917e86d6a5f8a756514b88ea1fab1b",
+          "030e0a6c14a04b8f10954b2032d352c693e521b681c86d325a2678fcb209aa8b28",
+          "039944b0a8f5cbbf85dcbcbec75906f5594249375ec919eedfb10b288187d622c8",
+          "02f404f2345985400aee117a2c1a59d903fca2ccfb350225fc6ef6612b682d4546"
+        ],
+        "shared_public_key": "02ca40690ff573b65a66982a6bd299400159f25da6180c6824003cc5710e692ed2",
         "vss_setup": {
           "I": [
             {
@@ -16849,64 +30943,133 @@
           ],
           "min_signers": 5
         },
-        "x": "3d146124080fb8fdad0a1065e637c165c5572fdaaeb4be13639d85ecf3d2f729"
+        "x": "c82ec72d788a4fbb08f04ca1f7ecd02c6830987cea0d6d643e12b400bb95a8c5"
       }
     },
     {
       "aux": {
-        "p": "ec90b61c22ef0f2b59af891c912db66768104414c2312446623e05de5bcba8ed42811fa8fb63063994838685d0f0fd9ebbcae95c0d53cac9908d00f7ff719f55e15d8392b9e6938ba4a1aac185b2d860288745822feec5ea063b52798c4bc01057596ae1d928cd88481d7c948659e03b374f7241dfadda38e24cfcd7515c948a7c887b7a5ecb956cb8b13b1ae64b2fc68138dd7b59113b70b04a6195e936a1ee3fcea927b3e7bd90c8168a870adc712358fd19dd539308b89d76c5d9c0638d7f",
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+            }
           }
         ],
-        "q": "fde1540ba14268272fde130382b9b60ebe0788fd5721536b00debfe25b9100956105fb07c5c3d6791146df9f496a3ef2c1be4e91202a68c90ab6b3154e2e694848e63ca03b549192788b600d02364bf506c62d247127a5b59be71cacccbc3e4f7917cfce11d4ad93825b197ee15c880e6a638f516c2290a5adb6acbde279352916ae9412db056b72627806924cf62d35a788bc042768b86023056ec04c9daa925545d4d3582e5d7623d9884c69fc8a1f3eac9b986f0b63cc759bc603079d81f3"
+        "q": {
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+          "value": "cc382855400b77edccaaab2b9f2227ed1fa2716f415e7146a6af0579f4bfee857f105f8b31944b406db95fa18fd243f6ff53ef45bcf86103ad732318f5dab93342e3424c0f986d108838c76f98fc7ad0ae7114d551dc74e7ac2aa6adc504519aed6c01b74e25bb72e7ffa290f1b5cc6a3618b0b1bfc886acaf15c3b0bc0f0a4d481999f0aa6532501a22c10e3139b6745eff48fc1b02a05860354f8096528ccabfa451a4ffec5e9f381820d2a75386cb893c1b9eba274758a7472d2e750730df"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
-          "02992459bf0a3fb0d3fe703a5f164b2dd5213317782a516cacdef1448a45f37288",
-          "02dd031d1dcad5a3cf4373b534cc6db5bc57f02d7d579700a5314164347a34ad9a",
-          "0374bd0268cb983ef9690bdcca866f914c5c71c73491917f7d45813212f567f8c6",
-          "020493799f253ff9745cf4f337055ad4e976c207ef4198e6394b6cbf84feae456e",
-          "025177de020d0528223700933fbc1f058337c8f7a99e51f6cf8567f26ea481379c",
-          "03b71ac4135f47426eeb422d5d4aaf224421022b3b2749d799b2732bfee2780415",
-          "03e879722b0b2e6fc5c38531d8cf25370edcd7c2b935bbf6fd71b570d8b3980359"
-        ],
-        "shared_public_key": "039ae61bd1332055dca3b2323ec22150cfbb60198b124eaac5a6e5eb56a037afa2",
+          "02b70ce6d2d614d72b9a9805abae8027796c10ff0f9714c33f94259bc1537ebe02",
+          "02132c34916e7487e4165efad092f37773354ef871997ad4e67a15088a931dec1e",
+          "02349246ff30205bbe0871514e7409342ec1e8401545da3e1cd9a9ded728b8223a",
+          "03f4c23d4f5116ee50e2dbfeebcaf818bc94917e86d6a5f8a756514b88ea1fab1b",
+          "030e0a6c14a04b8f10954b2032d352c693e521b681c86d325a2678fcb209aa8b28",
+          "039944b0a8f5cbbf85dcbcbec75906f5594249375ec919eedfb10b288187d622c8",
+          "02f404f2345985400aee117a2c1a59d903fca2ccfb350225fc6ef6612b682d4546"
+        ],
+        "shared_public_key": "02ca40690ff573b65a66982a6bd299400159f25da6180c6824003cc5710e692ed2",
         "vss_setup": {
           "I": [
             {
@@ -16940,64 +31103,133 @@
           ],
           "min_signers": 5
         },
-        "x": "ded9d3ecb8416d76956fe85b38e3da3141d32632207af9bbd6bd7202881455d3"
+        "x": "13342f5238144e15877d31f45565012ff9e971a2ab75335d841313594623a429"
       }
     },
     {
       "aux": {
-        "p": "baaa740d4ce89e67175a716adc7e03442fd41bfcfaa96b188dfd324d0bdc0856784d6d73ead0345a22d4da0bb9b86fc8ea3455ddd52e0331e3eae301d8f2347339fd5efdefc1c4892ba2c46cc1be3c923b90e171f0fa36cfa8d812573fcc52306beebed7c65cc00f5738f064d41909eef8d10cbe4ebd1b89bfea76a9cfffa73600811a2bcfff4ffd4a41b41c9cc732d675eda39102c3a0044cc2282d52368d790dbc60bddb84cbd2f7a47be22b9befaedf47f7a2bd7a2e3d63e9769223f85363",
+        "p": {
+          "radix": 16,
+          "value": "c180e71322c56178a5b7a9705674ab85fc02ceffbbd280750040c2a118f4f9782629bf68d7c09be8f6d21b8d5d45d3c633f6ba82c2893145d9784ff7116d87e3a8ef4363f869e642b0d068b58423c6f9308a5308fb240ea43a446ae85d1bbc18fecfb59e7cb1fa7161d41651de5f57176c88be629d3dd38651b32a694a159021a0598ebb4b93a795bb27c47a19b262ce9327bd2555828716703f00043e3ce004a740169071d764e411ae45409e7c78b867e0d6916255fe96bbcfcf867cc8c377"
+        },
         "parties": [
           {
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           }
         ],
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+        "q": {
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+          "value": "9d3a3a2178cbbc70f7ac050798d35e0b620e66aceb3a27c4ac57ce05ccee117abf4a314b83766339198148d378d7f15a59346aee88f3cdfc7652f8a636aa6572dbfd2a623368f5a35d6ab2588b0d245d2d623f9cacb9a99d61066da129e1de1fc049f1bf816f82608d1ffdad292ba685d0a52be0d3a337dfdf44800e148ca46b2e3688ad025bcfc75a48e9a9192ac0599b5ac71d5d837ef2f5a032c50556db5ad043be8bc5283c6ff99d5c7a07552e17e1b587a389c7c741cd470450cffe760b"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
-          "02992459bf0a3fb0d3fe703a5f164b2dd5213317782a516cacdef1448a45f37288",
-          "02dd031d1dcad5a3cf4373b534cc6db5bc57f02d7d579700a5314164347a34ad9a",
-          "0374bd0268cb983ef9690bdcca866f914c5c71c73491917f7d45813212f567f8c6",
-          "020493799f253ff9745cf4f337055ad4e976c207ef4198e6394b6cbf84feae456e",
-          "025177de020d0528223700933fbc1f058337c8f7a99e51f6cf8567f26ea481379c",
-          "03b71ac4135f47426eeb422d5d4aaf224421022b3b2749d799b2732bfee2780415",
-          "03e879722b0b2e6fc5c38531d8cf25370edcd7c2b935bbf6fd71b570d8b3980359"
-        ],
-        "shared_public_key": "039ae61bd1332055dca3b2323ec22150cfbb60198b124eaac5a6e5eb56a037afa2",
+          "02b70ce6d2d614d72b9a9805abae8027796c10ff0f9714c33f94259bc1537ebe02",
+          "02132c34916e7487e4165efad092f37773354ef871997ad4e67a15088a931dec1e",
+          "02349246ff30205bbe0871514e7409342ec1e8401545da3e1cd9a9ded728b8223a",
+          "03f4c23d4f5116ee50e2dbfeebcaf818bc94917e86d6a5f8a756514b88ea1fab1b",
+          "030e0a6c14a04b8f10954b2032d352c693e521b681c86d325a2678fcb209aa8b28",
+          "039944b0a8f5cbbf85dcbcbec75906f5594249375ec919eedfb10b288187d622c8",
+          "02f404f2345985400aee117a2c1a59d903fca2ccfb350225fc6ef6612b682d4546"
+        ],
+        "shared_public_key": "02ca40690ff573b65a66982a6bd299400159f25da6180c6824003cc5710e692ed2",
         "vss_setup": {
           "I": [
             {
@@ -17031,64 +31263,133 @@
           ],
           "min_signers": 5
         },
-        "x": "85504253b22a1e5f1621f87835c39c78918326b6922018c2e27c1acfb383232c"
+        "x": "eaf1e216b87dc97312972a7af89f8aafc25ed3fdaeac13d8506e1765fb05ac7f"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
           {
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+            },
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+            }
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         ],
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+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 5,
         "public_shares": [
-          "02992459bf0a3fb0d3fe703a5f164b2dd5213317782a516cacdef1448a45f37288",
-          "02dd031d1dcad5a3cf4373b534cc6db5bc57f02d7d579700a5314164347a34ad9a",
-          "0374bd0268cb983ef9690bdcca866f914c5c71c73491917f7d45813212f567f8c6",
-          "020493799f253ff9745cf4f337055ad4e976c207ef4198e6394b6cbf84feae456e",
-          "025177de020d0528223700933fbc1f058337c8f7a99e51f6cf8567f26ea481379c",
-          "03b71ac4135f47426eeb422d5d4aaf224421022b3b2749d799b2732bfee2780415",
-          "03e879722b0b2e6fc5c38531d8cf25370edcd7c2b935bbf6fd71b570d8b3980359"
-        ],
-        "shared_public_key": "039ae61bd1332055dca3b2323ec22150cfbb60198b124eaac5a6e5eb56a037afa2",
+          "02b70ce6d2d614d72b9a9805abae8027796c10ff0f9714c33f94259bc1537ebe02",
+          "02132c34916e7487e4165efad092f37773354ef871997ad4e67a15088a931dec1e",
+          "02349246ff30205bbe0871514e7409342ec1e8401545da3e1cd9a9ded728b8223a",
+          "03f4c23d4f5116ee50e2dbfeebcaf818bc94917e86d6a5f8a756514b88ea1fab1b",
+          "030e0a6c14a04b8f10954b2032d352c693e521b681c86d325a2678fcb209aa8b28",
+          "039944b0a8f5cbbf85dcbcbec75906f5594249375ec919eedfb10b288187d622c8",
+          "02f404f2345985400aee117a2c1a59d903fca2ccfb350225fc6ef6612b682d4546"
+        ],
+        "shared_public_key": "02ca40690ff573b65a66982a6bd299400159f25da6180c6824003cc5710e692ed2",
         "vss_setup": {
           "I": [
             {
@@ -17122,64 +31423,133 @@
           ],
           "min_signers": 5
         },
-        "x": "f4f20633874eef1d92ff24a9217fa571d7e6eb0a5135ca63a14428e99bb33882"
+        "x": "2962b4aa4274fb0f97cb7734ea59a46c89f234cc02ce3fce9ca05cb0b154e30e"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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           }
         ],
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+        "q": {
+          "radix": 16,
+          "value": "e404c7062c500b71e44934e4b0a604b38045e6622e07057cc1cc02138406bbb362200c4fcce55f96961e0d8e72f88188e3898b467d8fbddbefb0639e553b9d1fff89e1a6e287efab390be201dc51bd98af7faafaa1b50d02d7bef4af34e795451c84e184c566cbd15d09121d42a8dcc874f6317d83901f73c4579a08a208a558d09f97d70a68adcd2d6d51d5d732707e95342a5181765afd90e44b289d5a9b7a09139e605377b6c616e2dee0881ac203c43e1e8e417558bf0668841a8ff4ab57"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 6,
         "public_shares": [
-          "02992459bf0a3fb0d3fe703a5f164b2dd5213317782a516cacdef1448a45f37288",
-          "02dd031d1dcad5a3cf4373b534cc6db5bc57f02d7d579700a5314164347a34ad9a",
-          "0374bd0268cb983ef9690bdcca866f914c5c71c73491917f7d45813212f567f8c6",
-          "020493799f253ff9745cf4f337055ad4e976c207ef4198e6394b6cbf84feae456e",
-          "025177de020d0528223700933fbc1f058337c8f7a99e51f6cf8567f26ea481379c",
-          "03b71ac4135f47426eeb422d5d4aaf224421022b3b2749d799b2732bfee2780415",
-          "03e879722b0b2e6fc5c38531d8cf25370edcd7c2b935bbf6fd71b570d8b3980359"
-        ],
-        "shared_public_key": "039ae61bd1332055dca3b2323ec22150cfbb60198b124eaac5a6e5eb56a037afa2",
+          "02b70ce6d2d614d72b9a9805abae8027796c10ff0f9714c33f94259bc1537ebe02",
+          "02132c34916e7487e4165efad092f37773354ef871997ad4e67a15088a931dec1e",
+          "02349246ff30205bbe0871514e7409342ec1e8401545da3e1cd9a9ded728b8223a",
+          "03f4c23d4f5116ee50e2dbfeebcaf818bc94917e86d6a5f8a756514b88ea1fab1b",
+          "030e0a6c14a04b8f10954b2032d352c693e521b681c86d325a2678fcb209aa8b28",
+          "039944b0a8f5cbbf85dcbcbec75906f5594249375ec919eedfb10b288187d622c8",
+          "02f404f2345985400aee117a2c1a59d903fca2ccfb350225fc6ef6612b682d4546"
+        ],
+        "shared_public_key": "02ca40690ff573b65a66982a6bd299400159f25da6180c6824003cc5710e692ed2",
         "vss_setup": {
           "I": [
             {
@@ -17213,84 +31583,180 @@
           ],
           "min_signers": 5
         },
-        "x": "50a1b3e5224e388cb36277a785f9d001af3b8bdfb7144da77ff1891f2dec8b7e"
+        "x": "316cf9d2a37d6409d28ffa6bd0d301456481fb1bb91bd0c6cef57ddc1a3d89a4"
       }
     }
   ],
   "t=Some(7),n=10,curve=secp256k1": [
     {
       "aux": {
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+          "value": "f2cbb9519d7d90f2163bced3babd545d69bb9ac54856d90acf50b133dd6d302b795b17143fff9fb039aeb52065a6666bbcbba173047002dadcea5252ac288e0f5bd46680a8952890a1c8a9f10037918a45d094ddf6bada08e90f5e53b05c481eaef8c6f3bfd75fbc5b8c2a6c4a5582afac208397d75de28ba55f2b0b4de7877db099308cfe211a1f0b915fe4b0144a3189646513ce52a39b8d15d71e62b4de17b43038347e0fa37465b44aa9ba81d0aa31c22dcf9005c5ccba92aab8f042117f"
+        },
         "parties": [
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+        ],
+        "shared_public_key": "03302676cb4f7c16427e8799353ac7f128510914e29589cc91e65082f3ea46c597",
         "vss_setup": {
           "I": [
             {
@@ -17336,82 +31802,178 @@
           ],
           "min_signers": 7
         },
-        "x": "678a7b0f526add70810e8061fb610628e9a8e02ee7d938e25d8cee38f502be99"
+        "x": "f42e93ddde20eba1744149e8d8e943aba63f209377fadcf9bbfa83beada6b22c"
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       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
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+          "033e4b3725112ca850b770ae2804c0793083f6d0a4a408dc5e62fb1b565f245466"
+        ],
+        "shared_public_key": "03302676cb4f7c16427e8799353ac7f128510914e29589cc91e65082f3ea46c597",
         "vss_setup": {
           "I": [
             {
@@ -17457,82 +32019,178 @@
           ],
           "min_signers": 7
         },
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         ],
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+        "q": {
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+          "value": "9027a537d802c24f333d9b7107bc91dc7c983a03ac6a5db8e0f1e0ab0a85bf3aff51f2456faf3d62f3edf074102ad8e29a76ee56429bb085b9c38ea838590fb114c3e3ec8a48b9c1f77585291bffd859eef857db44984e199eaae35c25746925b201c1f3b82ff611f192a9fd6acffe4a876834736d172115a0f10bad562ab8788173326ae6403f490d05d838eba22ebaa667a46e40e11102a7280011073b71343f3141da8981a1363caec7e6339a4a3544177a7a9168ae88b63d9da48b046b1b"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
-          "033f6fd0bb8a161cdd617a81d844e5b63b250a96c802b5e1820a3ac686310092e3",
-          "038be8e4a4dae47e3f5a1f17f20a2eb457bc08343883f6e27b1084bf78507b368a",
-          "03b43f22545d123707357b2404c17070b6e305a275215f91e111b67586cd18f170",
-          "02cbd53785a6fbad5095a5c9cbff34c3d45b0197a45696237097487cffc376f55c",
-          "020f856c677cbacc14f2af6fe6aa615ebcd331aed7fcb66505005a5bac9341f8a2",
-          "02e118047dafcd28ec488c5b33c196ffc2f744338b4cec7af68196f957d953f129",
-          "03e5cace2650b85aae8e11c238cc495cdfe8c218f7acbdbebf144867099316381d",
-          "0392b521853397ec9783cd5afa63e2dfe229059adabca364ad2ec113de181153a6",
-          "039af108b1327e68da2c09a114e3749cdbd7ecce3ae6f28f65eb27c2b4a6847ac7",
-          "02864e2baf4cd4072827b285af44c4888b77082bbd1e381f829c846472e20b6059"
-        ],
-        "shared_public_key": "03c1406d67d0faefe7164d97325107ce37552585ef72c088585d4b75df7250d30b",
+          "03a4a422eb8eb5f2792ee293e4d3e86793ef26e87234bc0c28e2713206b9248cfb",
+          "0256103a80299e1d67f8c39cacbad42dc6c8d95b2baf723fea2b7a90562a7c13ff",
+          "03f3c23ea150e3f8fcaaaac1539ff606ed08a2071fff2e20c1f8116a8eced2f534",
+          "02583cb6596021cfb23ed331e770de58fbe5c19a90b34b2ca0c3cce4236d68ac0f",
+          "02da7f7d9d0b12dd7ae3157df96acd11d5e893b10f055219476a9159a710a9d697",
+          "02d134d29405fba069722d66cd12c29d5d54b3a72a52fba6afd763b6665bda9d36",
+          "037a892d5a402b959f7e8a3e2ce57f93f585ecc170d1bfab67069b9e0221cf1b11",
+          "039651b45bb0de50bf54aba66db943c1568aa9e1c8663848ab8ff1dffc10524a6c",
+          "0207b8eebcbd780f6b64686003452f0a25103a8db74330355599963b8395bdff52",
+          "033e4b3725112ca850b770ae2804c0793083f6d0a4a408dc5e62fb1b565f245466"
+        ],
+        "shared_public_key": "03302676cb4f7c16427e8799353ac7f128510914e29589cc91e65082f3ea46c597",
         "vss_setup": {
           "I": [
             {
@@ -17578,82 +32236,178 @@
           ],
           "min_signers": 7
         },
-        "x": "bf0319ed33a2e9e3b939b5906eeb0cc6facdb75c4a244b314442a3dcbf663e63"
+        "x": "2a370483c2c5e1b305521356c51697071300f5629e33bea773cf48be6e8f84e6"
       }
     },
     {
       "aux": {
-        "p": "adbc1b9df72af872f0c508151889f768f0bb92103cd2eb231bcae1f21366fd1931e354f492e77e4f27d3fb7734e90da451ad01e5ec8047f6a3293bf6a276ea0b8321f7713038ff8ba58434911697096236864c20dc949ac5d73de97b3d1b2c77b19dface12b850d3bdf78d57b9c80a22cb150dff01d663fe122cb05e5d0ca6ec171b96fdbfae63471c6da0ba4a9b2e2c307e733ef534fd03538846280ff161b6949c9b3286f0450c7bd01bdf18065bfdd8dc64d8d93b7e7038e207f9277671c7",
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
-          "033f6fd0bb8a161cdd617a81d844e5b63b250a96c802b5e1820a3ac686310092e3",
-          "038be8e4a4dae47e3f5a1f17f20a2eb457bc08343883f6e27b1084bf78507b368a",
-          "03b43f22545d123707357b2404c17070b6e305a275215f91e111b67586cd18f170",
-          "02cbd53785a6fbad5095a5c9cbff34c3d45b0197a45696237097487cffc376f55c",
-          "020f856c677cbacc14f2af6fe6aa615ebcd331aed7fcb66505005a5bac9341f8a2",
-          "02e118047dafcd28ec488c5b33c196ffc2f744338b4cec7af68196f957d953f129",
-          "03e5cace2650b85aae8e11c238cc495cdfe8c218f7acbdbebf144867099316381d",
-          "0392b521853397ec9783cd5afa63e2dfe229059adabca364ad2ec113de181153a6",
-          "039af108b1327e68da2c09a114e3749cdbd7ecce3ae6f28f65eb27c2b4a6847ac7",
-          "02864e2baf4cd4072827b285af44c4888b77082bbd1e381f829c846472e20b6059"
-        ],
-        "shared_public_key": "03c1406d67d0faefe7164d97325107ce37552585ef72c088585d4b75df7250d30b",
+          "03a4a422eb8eb5f2792ee293e4d3e86793ef26e87234bc0c28e2713206b9248cfb",
+          "0256103a80299e1d67f8c39cacbad42dc6c8d95b2baf723fea2b7a90562a7c13ff",
+          "03f3c23ea150e3f8fcaaaac1539ff606ed08a2071fff2e20c1f8116a8eced2f534",
+          "02583cb6596021cfb23ed331e770de58fbe5c19a90b34b2ca0c3cce4236d68ac0f",
+          "02da7f7d9d0b12dd7ae3157df96acd11d5e893b10f055219476a9159a710a9d697",
+          "02d134d29405fba069722d66cd12c29d5d54b3a72a52fba6afd763b6665bda9d36",
+          "037a892d5a402b959f7e8a3e2ce57f93f585ecc170d1bfab67069b9e0221cf1b11",
+          "039651b45bb0de50bf54aba66db943c1568aa9e1c8663848ab8ff1dffc10524a6c",
+          "0207b8eebcbd780f6b64686003452f0a25103a8db74330355599963b8395bdff52",
+          "033e4b3725112ca850b770ae2804c0793083f6d0a4a408dc5e62fb1b565f245466"
+        ],
+        "shared_public_key": "03302676cb4f7c16427e8799353ac7f128510914e29589cc91e65082f3ea46c597",
         "vss_setup": {
           "I": [
             {
@@ -17699,82 +32453,178 @@
           ],
           "min_signers": 7
         },
-        "x": "bf2163a03e6ef01ad723175ad77456033a845a351038c078f009fd19e775313a"
+        "x": "013a1afe728f80dd08c72042661e4a92af238b5308b1249ac2a426becffa9acf"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "aad037611d4b417f741632b564eae978177c046d81e8623a479bed9e06222f222b60fbc985c4d230de25541b28f42dd275b57a830b036b922accf4cef638d24a6a563c6449d4a584e11f7f32ea015f1625b58d58a7e961fefa4a10b747379324f9afe06bbd85e0a95bc5716528b0f554745800544bf73b474e3244cac41591a80fe7b92b3fdd01cb906e817968131f85ca8a6e734c967c6e970995427872c767b27ceced37586d7a91f44e1b484b1f0f47569d866e4913edbff874f75a6590eb"
+        },
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+            }
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         ],
-        "q": "bf4f74e03068d6a80bd872dea96132d12e5e28d07f31b50b7372a8afe3afd6663832a767c1a1d5e18ddd41cdc9a737a69d41cf4ee780302ec71246c76e04d69f72488de11a584c6ca1d1a3909616eb69766c86c67afdd161f39dde91e017edbcef8595e83e3ac6c235f41c480bd19f0f9cbff813145df081a711b83b0627e85d1e6caff17c362a306eebe02b6ed22d81c51b8d8bea244a097352a219f890327b749f3c5da1eb9633679bde3c4247fc37283d23fb77cfd761de7d905cd1b7d4fb"
+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
-          "033f6fd0bb8a161cdd617a81d844e5b63b250a96c802b5e1820a3ac686310092e3",
-          "038be8e4a4dae47e3f5a1f17f20a2eb457bc08343883f6e27b1084bf78507b368a",
-          "03b43f22545d123707357b2404c17070b6e305a275215f91e111b67586cd18f170",
-          "02cbd53785a6fbad5095a5c9cbff34c3d45b0197a45696237097487cffc376f55c",
-          "020f856c677cbacc14f2af6fe6aa615ebcd331aed7fcb66505005a5bac9341f8a2",
-          "02e118047dafcd28ec488c5b33c196ffc2f744338b4cec7af68196f957d953f129",
-          "03e5cace2650b85aae8e11c238cc495cdfe8c218f7acbdbebf144867099316381d",
-          "0392b521853397ec9783cd5afa63e2dfe229059adabca364ad2ec113de181153a6",
-          "039af108b1327e68da2c09a114e3749cdbd7ecce3ae6f28f65eb27c2b4a6847ac7",
-          "02864e2baf4cd4072827b285af44c4888b77082bbd1e381f829c846472e20b6059"
-        ],
-        "shared_public_key": "03c1406d67d0faefe7164d97325107ce37552585ef72c088585d4b75df7250d30b",
+          "03a4a422eb8eb5f2792ee293e4d3e86793ef26e87234bc0c28e2713206b9248cfb",
+          "0256103a80299e1d67f8c39cacbad42dc6c8d95b2baf723fea2b7a90562a7c13ff",
+          "03f3c23ea150e3f8fcaaaac1539ff606ed08a2071fff2e20c1f8116a8eced2f534",
+          "02583cb6596021cfb23ed331e770de58fbe5c19a90b34b2ca0c3cce4236d68ac0f",
+          "02da7f7d9d0b12dd7ae3157df96acd11d5e893b10f055219476a9159a710a9d697",
+          "02d134d29405fba069722d66cd12c29d5d54b3a72a52fba6afd763b6665bda9d36",
+          "037a892d5a402b959f7e8a3e2ce57f93f585ecc170d1bfab67069b9e0221cf1b11",
+          "039651b45bb0de50bf54aba66db943c1568aa9e1c8663848ab8ff1dffc10524a6c",
+          "0207b8eebcbd780f6b64686003452f0a25103a8db74330355599963b8395bdff52",
+          "033e4b3725112ca850b770ae2804c0793083f6d0a4a408dc5e62fb1b565f245466"
+        ],
+        "shared_public_key": "03302676cb4f7c16427e8799353ac7f128510914e29589cc91e65082f3ea46c597",
         "vss_setup": {
           "I": [
             {
@@ -17820,82 +32670,178 @@
           ],
           "min_signers": 7
         },
-        "x": "9ec3607d62a94e8cb3dae08cd64fdb0555a287b4d24a6418bd893f58785bf28a"
+        "x": "6d068e5f253e6d17b97d4dda5ad02bee6e6a2cb8f4eb7ec06765cdad47aefd4a"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "f7efe39e5d0d24220adb628c2e41894d8b3d931406d744baa4b7bb78f21707afb5400dd83e4b4bb789adb69d6fa615bf45f2c80d3eb3d5cac7d90fcf0f6b588f547e1ea88d5507b753f458ab4aebf74f6e6128e7841b723a8a4f6c8b236651eaad5906cfe0516b9f1a2b4a0a8a29af6112fc8687d120b1cd8a3eb00c154af972b91dfaae4af685afb251b5587e7293fa0d33260d628f598d5bd85f212a6ae68095fd20360ea93179f0d2b8af7add5a6628dd7221bea69be499d301f3291686b3"
+        },
         "parties": [
           {
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+            }
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 5,
         "public_shares": [
-          "033f6fd0bb8a161cdd617a81d844e5b63b250a96c802b5e1820a3ac686310092e3",
-          "038be8e4a4dae47e3f5a1f17f20a2eb457bc08343883f6e27b1084bf78507b368a",
-          "03b43f22545d123707357b2404c17070b6e305a275215f91e111b67586cd18f170",
-          "02cbd53785a6fbad5095a5c9cbff34c3d45b0197a45696237097487cffc376f55c",
-          "020f856c677cbacc14f2af6fe6aa615ebcd331aed7fcb66505005a5bac9341f8a2",
-          "02e118047dafcd28ec488c5b33c196ffc2f744338b4cec7af68196f957d953f129",
-          "03e5cace2650b85aae8e11c238cc495cdfe8c218f7acbdbebf144867099316381d",
-          "0392b521853397ec9783cd5afa63e2dfe229059adabca364ad2ec113de181153a6",
-          "039af108b1327e68da2c09a114e3749cdbd7ecce3ae6f28f65eb27c2b4a6847ac7",
-          "02864e2baf4cd4072827b285af44c4888b77082bbd1e381f829c846472e20b6059"
-        ],
-        "shared_public_key": "03c1406d67d0faefe7164d97325107ce37552585ef72c088585d4b75df7250d30b",
+          "03a4a422eb8eb5f2792ee293e4d3e86793ef26e87234bc0c28e2713206b9248cfb",
+          "0256103a80299e1d67f8c39cacbad42dc6c8d95b2baf723fea2b7a90562a7c13ff",
+          "03f3c23ea150e3f8fcaaaac1539ff606ed08a2071fff2e20c1f8116a8eced2f534",
+          "02583cb6596021cfb23ed331e770de58fbe5c19a90b34b2ca0c3cce4236d68ac0f",
+          "02da7f7d9d0b12dd7ae3157df96acd11d5e893b10f055219476a9159a710a9d697",
+          "02d134d29405fba069722d66cd12c29d5d54b3a72a52fba6afd763b6665bda9d36",
+          "037a892d5a402b959f7e8a3e2ce57f93f585ecc170d1bfab67069b9e0221cf1b11",
+          "039651b45bb0de50bf54aba66db943c1568aa9e1c8663848ab8ff1dffc10524a6c",
+          "0207b8eebcbd780f6b64686003452f0a25103a8db74330355599963b8395bdff52",
+          "033e4b3725112ca850b770ae2804c0793083f6d0a4a408dc5e62fb1b565f245466"
+        ],
+        "shared_public_key": "03302676cb4f7c16427e8799353ac7f128510914e29589cc91e65082f3ea46c597",
         "vss_setup": {
           "I": [
             {
@@ -17941,82 +32887,178 @@
           ],
           "min_signers": 7
         },
-        "x": "43f8334810cc1a342f14115e000e76a8cb926909c29e08795ea4c01130aba091"
+        "x": "b0d0338061a61ce0179ceb86865d23f6b5f756c83e89b0e90aa565df8a1c07be"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
           {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 6,
         "public_shares": [
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-          "038be8e4a4dae47e3f5a1f17f20a2eb457bc08343883f6e27b1084bf78507b368a",
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-          "03e5cace2650b85aae8e11c238cc495cdfe8c218f7acbdbebf144867099316381d",
-          "0392b521853397ec9783cd5afa63e2dfe229059adabca364ad2ec113de181153a6",
-          "039af108b1327e68da2c09a114e3749cdbd7ecce3ae6f28f65eb27c2b4a6847ac7",
-          "02864e2baf4cd4072827b285af44c4888b77082bbd1e381f829c846472e20b6059"
-        ],
-        "shared_public_key": "03c1406d67d0faefe7164d97325107ce37552585ef72c088585d4b75df7250d30b",
+          "03a4a422eb8eb5f2792ee293e4d3e86793ef26e87234bc0c28e2713206b9248cfb",
+          "0256103a80299e1d67f8c39cacbad42dc6c8d95b2baf723fea2b7a90562a7c13ff",
+          "03f3c23ea150e3f8fcaaaac1539ff606ed08a2071fff2e20c1f8116a8eced2f534",
+          "02583cb6596021cfb23ed331e770de58fbe5c19a90b34b2ca0c3cce4236d68ac0f",
+          "02da7f7d9d0b12dd7ae3157df96acd11d5e893b10f055219476a9159a710a9d697",
+          "02d134d29405fba069722d66cd12c29d5d54b3a72a52fba6afd763b6665bda9d36",
+          "037a892d5a402b959f7e8a3e2ce57f93f585ecc170d1bfab67069b9e0221cf1b11",
+          "039651b45bb0de50bf54aba66db943c1568aa9e1c8663848ab8ff1dffc10524a6c",
+          "0207b8eebcbd780f6b64686003452f0a25103a8db74330355599963b8395bdff52",
+          "033e4b3725112ca850b770ae2804c0793083f6d0a4a408dc5e62fb1b565f245466"
+        ],
+        "shared_public_key": "03302676cb4f7c16427e8799353ac7f128510914e29589cc91e65082f3ea46c597",
         "vss_setup": {
           "I": [
             {
@@ -18062,82 +33104,178 @@
           ],
           "min_signers": 7
         },
-        "x": "9d74ff430ac8b884e5223b7ed8083d9c2e327b0b9f0573cbd1dd66923403da06"
+        "x": "bdbce0f7c992932d76adc50d7f9b9c9580b9a773c41b88c130e55bf6875cf0b1"
       }
     },
     {
       "aux": {
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+        },
         "parties": [
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+        "q": {
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+          "value": "a7235a7687ab11c0a8bfaf4d3f3b867ec149e49fed019ce3b1b4d6ee26ef2470649418df9d6d383744be7a8ff6389127ffb6f178d192475af2646b40d4da96eb79ff7e9ecd240114bdc84bf4c24ae80104e86d49a93d7e17dcf1e487b210702ab8b02da33324ddea5dd4e9fcf994547f894e3e9ab3c3e6dd201f2547cd692c07f6f25cbfdbf7534c263627ac02cfe69834006fdd52075efea06053cb5da0bf06be133b73347904f5d713f9a39b4d36561e399603aaf2af69823da20e6026914f"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 7,
         "public_shares": [
-          "033f6fd0bb8a161cdd617a81d844e5b63b250a96c802b5e1820a3ac686310092e3",
-          "038be8e4a4dae47e3f5a1f17f20a2eb457bc08343883f6e27b1084bf78507b368a",
-          "03b43f22545d123707357b2404c17070b6e305a275215f91e111b67586cd18f170",
-          "02cbd53785a6fbad5095a5c9cbff34c3d45b0197a45696237097487cffc376f55c",
-          "020f856c677cbacc14f2af6fe6aa615ebcd331aed7fcb66505005a5bac9341f8a2",
-          "02e118047dafcd28ec488c5b33c196ffc2f744338b4cec7af68196f957d953f129",
-          "03e5cace2650b85aae8e11c238cc495cdfe8c218f7acbdbebf144867099316381d",
-          "0392b521853397ec9783cd5afa63e2dfe229059adabca364ad2ec113de181153a6",
-          "039af108b1327e68da2c09a114e3749cdbd7ecce3ae6f28f65eb27c2b4a6847ac7",
-          "02864e2baf4cd4072827b285af44c4888b77082bbd1e381f829c846472e20b6059"
-        ],
-        "shared_public_key": "03c1406d67d0faefe7164d97325107ce37552585ef72c088585d4b75df7250d30b",
+          "03a4a422eb8eb5f2792ee293e4d3e86793ef26e87234bc0c28e2713206b9248cfb",
+          "0256103a80299e1d67f8c39cacbad42dc6c8d95b2baf723fea2b7a90562a7c13ff",
+          "03f3c23ea150e3f8fcaaaac1539ff606ed08a2071fff2e20c1f8116a8eced2f534",
+          "02583cb6596021cfb23ed331e770de58fbe5c19a90b34b2ca0c3cce4236d68ac0f",
+          "02da7f7d9d0b12dd7ae3157df96acd11d5e893b10f055219476a9159a710a9d697",
+          "02d134d29405fba069722d66cd12c29d5d54b3a72a52fba6afd763b6665bda9d36",
+          "037a892d5a402b959f7e8a3e2ce57f93f585ecc170d1bfab67069b9e0221cf1b11",
+          "039651b45bb0de50bf54aba66db943c1568aa9e1c8663848ab8ff1dffc10524a6c",
+          "0207b8eebcbd780f6b64686003452f0a25103a8db74330355599963b8395bdff52",
+          "033e4b3725112ca850b770ae2804c0793083f6d0a4a408dc5e62fb1b565f245466"
+        ],
+        "shared_public_key": "03302676cb4f7c16427e8799353ac7f128510914e29589cc91e65082f3ea46c597",
         "vss_setup": {
           "I": [
             {
@@ -18183,82 +33321,178 @@
           ],
           "min_signers": 7
         },
-        "x": "9a64e0bd73422245ba87bd48d55537a484789a222e06733245acf544329410b9"
+        "x": "b832d35facfd745cfeac1ed7781fe295649053fb3c6b0fbd87b41fee46f0f0b9"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "ed8b23036f8b8ee087a6984c8ab60b363fb34b7e61ab5b3e0d46a07cf956fa9a74cd5c0ba5a665bd77c003255f21292d29a9b7fecd00c6f59b247b654947404c1d3798e935088944a2a99206bc34cdde15677d004a66dc65bd14b39da41001cd93222b3c37d05cac076f5fa6c37fce9ab04e79419ef5a116b979c9959a6f2ddb1ac087030ce4397e7863a3c1e3c801d76488e5798d9844dbb92bcbecbbea0ab44e4870413d1a52aa7915da9fcadaa5b311ab5e4210c848a2dc64dbc17a7338d7"
+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 8,
         "public_shares": [
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-          "038be8e4a4dae47e3f5a1f17f20a2eb457bc08343883f6e27b1084bf78507b368a",
-          "03b43f22545d123707357b2404c17070b6e305a275215f91e111b67586cd18f170",
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-          "020f856c677cbacc14f2af6fe6aa615ebcd331aed7fcb66505005a5bac9341f8a2",
-          "02e118047dafcd28ec488c5b33c196ffc2f744338b4cec7af68196f957d953f129",
-          "03e5cace2650b85aae8e11c238cc495cdfe8c218f7acbdbebf144867099316381d",
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-          "039af108b1327e68da2c09a114e3749cdbd7ecce3ae6f28f65eb27c2b4a6847ac7",
-          "02864e2baf4cd4072827b285af44c4888b77082bbd1e381f829c846472e20b6059"
-        ],
-        "shared_public_key": "03c1406d67d0faefe7164d97325107ce37552585ef72c088585d4b75df7250d30b",
+          "03a4a422eb8eb5f2792ee293e4d3e86793ef26e87234bc0c28e2713206b9248cfb",
+          "0256103a80299e1d67f8c39cacbad42dc6c8d95b2baf723fea2b7a90562a7c13ff",
+          "03f3c23ea150e3f8fcaaaac1539ff606ed08a2071fff2e20c1f8116a8eced2f534",
+          "02583cb6596021cfb23ed331e770de58fbe5c19a90b34b2ca0c3cce4236d68ac0f",
+          "02da7f7d9d0b12dd7ae3157df96acd11d5e893b10f055219476a9159a710a9d697",
+          "02d134d29405fba069722d66cd12c29d5d54b3a72a52fba6afd763b6665bda9d36",
+          "037a892d5a402b959f7e8a3e2ce57f93f585ecc170d1bfab67069b9e0221cf1b11",
+          "039651b45bb0de50bf54aba66db943c1568aa9e1c8663848ab8ff1dffc10524a6c",
+          "0207b8eebcbd780f6b64686003452f0a25103a8db74330355599963b8395bdff52",
+          "033e4b3725112ca850b770ae2804c0793083f6d0a4a408dc5e62fb1b565f245466"
+        ],
+        "shared_public_key": "03302676cb4f7c16427e8799353ac7f128510914e29589cc91e65082f3ea46c597",
         "vss_setup": {
           "I": [
             {
@@ -18304,82 +33538,178 @@
           ],
           "min_signers": 7
         },
-        "x": "2c3c369ca35a558f19434230e35005bf85fda226138f27f4248a96251f5b1a6d"
+        "x": "6af21c368a1c3ed97005a5951c78cecb3a32785862ff09cf4620c2754a262282"
       }
     },
     {
       "aux": {
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+          "value": "986c49c67fe1d58e7742faad2ada62283e3cfda990503b003d81b1aa4dc32658f72143c65d0636123ea641c8a45b925bb499beffe4434bd63f2649775a1ba757863246ad8f9ef5b353dabc1c4df42edeb54cc5f97bf4d7b4681132ecd7035b7cdb887c31a821dc8d4d6d8d865f966f9fd4ebcaa315df6b1c4d413e747a43ae2902afb9065113034edee019cdfaa58c6b4045cc400e6b9e1259fd657fc11c85aeb0fc3563b5935cf3a370fb3e759c9b708b8bcb976520c3ee1b0e021fd7f4f3fb"
+        },
         "parties": [
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 9,
         "public_shares": [
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-          "02864e2baf4cd4072827b285af44c4888b77082bbd1e381f829c846472e20b6059"
-        ],
-        "shared_public_key": "03c1406d67d0faefe7164d97325107ce37552585ef72c088585d4b75df7250d30b",
+          "03a4a422eb8eb5f2792ee293e4d3e86793ef26e87234bc0c28e2713206b9248cfb",
+          "0256103a80299e1d67f8c39cacbad42dc6c8d95b2baf723fea2b7a90562a7c13ff",
+          "03f3c23ea150e3f8fcaaaac1539ff606ed08a2071fff2e20c1f8116a8eced2f534",
+          "02583cb6596021cfb23ed331e770de58fbe5c19a90b34b2ca0c3cce4236d68ac0f",
+          "02da7f7d9d0b12dd7ae3157df96acd11d5e893b10f055219476a9159a710a9d697",
+          "02d134d29405fba069722d66cd12c29d5d54b3a72a52fba6afd763b6665bda9d36",
+          "037a892d5a402b959f7e8a3e2ce57f93f585ecc170d1bfab67069b9e0221cf1b11",
+          "039651b45bb0de50bf54aba66db943c1568aa9e1c8663848ab8ff1dffc10524a6c",
+          "0207b8eebcbd780f6b64686003452f0a25103a8db74330355599963b8395bdff52",
+          "033e4b3725112ca850b770ae2804c0793083f6d0a4a408dc5e62fb1b565f245466"
+        ],
+        "shared_public_key": "03302676cb4f7c16427e8799353ac7f128510914e29589cc91e65082f3ea46c597",
         "vss_setup": {
           "I": [
             {
@@ -18425,84 +33755,180 @@
           ],
           "min_signers": 7
         },
-        "x": "528f3ce2c712f6ecdfdc887c5da275301f4bde1fd3a9eca38b325785233cb4a3"
+        "x": "a7f91b547a47a77f2a7e514a6d90b693dd36f958da5fe158202e2da515a39e6b"
       }
     }
   ],
   "t=Some(7),n=10,curve=secp256r1": [
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       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
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-        ],
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+          "02d98c78ce63fb6e1f73a13e9203728cd9ef4a22ce984caec076be269b1e363047"
+        ],
+        "shared_public_key": "03eaf9c42c84ad7b37af294810b022189197fd976902b1b0d2611e5ec477da33f0",
         "vss_setup": {
           "I": [
             {
@@ -18548,82 +33974,178 @@
           ],
           "min_signers": 7
         },
-        "x": "4a6e34e871552de9f428045e1087303f378e10379baa6b4c582b80079fecb44b"
+        "x": "272671c2e92ba01bae35eed74493a709af5a15a3625f8378dc0ade804baa640a"
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+          "02d98c78ce63fb6e1f73a13e9203728cd9ef4a22ce984caec076be269b1e363047"
+        ],
+        "shared_public_key": "03eaf9c42c84ad7b37af294810b022189197fd976902b1b0d2611e5ec477da33f0",
         "vss_setup": {
           "I": [
             {
@@ -18669,82 +34191,178 @@
           ],
           "min_signers": 7
         },
-        "x": "c6b8462f5b9099945ba53f19dbcf2285aa1e426c2d3be90efb289173a3f7f998"
+        "x": "1649d40c5a3e35f5b3516d0a75acc12f760aa082b3469f83444284f9ebe497bb"
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       "core": {
         "curve": "secp256r1",
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+          "02d98c78ce63fb6e1f73a13e9203728cd9ef4a22ce984caec076be269b1e363047"
+        ],
+        "shared_public_key": "03eaf9c42c84ad7b37af294810b022189197fd976902b1b0d2611e5ec477da33f0",
         "vss_setup": {
           "I": [
             {
@@ -18790,82 +34408,178 @@
           ],
           "min_signers": 7
         },
-        "x": "037be3176d293f87d82099e8f873ed66e42255954f551c983bc2962cc8a62bea"
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         "curve": "secp256r1",
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+          "02d98c78ce63fb6e1f73a13e9203728cd9ef4a22ce984caec076be269b1e363047"
+        ],
+        "shared_public_key": "03eaf9c42c84ad7b37af294810b022189197fd976902b1b0d2611e5ec477da33f0",
         "vss_setup": {
           "I": [
             {
@@ -18911,82 +34625,178 @@
           ],
           "min_signers": 7
         },
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       "core": {
         "curve": "secp256r1",
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+          "02d98c78ce63fb6e1f73a13e9203728cd9ef4a22ce984caec076be269b1e363047"
+        ],
+        "shared_public_key": "03eaf9c42c84ad7b37af294810b022189197fd976902b1b0d2611e5ec477da33f0",
         "vss_setup": {
           "I": [
             {
@@ -19032,82 +34842,178 @@
           ],
           "min_signers": 7
         },
-        "x": "5f208c2a1e1ff9bea7a814f2340008ef4a254217f63c11e3e4cedcbc5350bbcd"
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         "curve": "secp256r1",
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+          "02d98c78ce63fb6e1f73a13e9203728cd9ef4a22ce984caec076be269b1e363047"
+        ],
+        "shared_public_key": "03eaf9c42c84ad7b37af294810b022189197fd976902b1b0d2611e5ec477da33f0",
         "vss_setup": {
           "I": [
             {
@@ -19153,82 +35059,178 @@
           ],
           "min_signers": 7
         },
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         "curve": "secp256r1",
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+          "02d98c78ce63fb6e1f73a13e9203728cd9ef4a22ce984caec076be269b1e363047"
+        ],
+        "shared_public_key": "03eaf9c42c84ad7b37af294810b022189197fd976902b1b0d2611e5ec477da33f0",
         "vss_setup": {
           "I": [
             {
@@ -19274,82 +35276,178 @@
           ],
           "min_signers": 7
         },
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+        "x": "8b33fb009c689571b5ee89ee8a1151672cafec55a543c74bd8fd515930e28a6e"
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+          "02d98c78ce63fb6e1f73a13e9203728cd9ef4a22ce984caec076be269b1e363047"
+        ],
+        "shared_public_key": "03eaf9c42c84ad7b37af294810b022189197fd976902b1b0d2611e5ec477da33f0",
         "vss_setup": {
           "I": [
             {
@@ -19395,82 +35493,178 @@
           ],
           "min_signers": 7
         },
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+          "02d98c78ce63fb6e1f73a13e9203728cd9ef4a22ce984caec076be269b1e363047"
+        ],
+        "shared_public_key": "03eaf9c42c84ad7b37af294810b022189197fd976902b1b0d2611e5ec477da33f0",
         "vss_setup": {
           "I": [
             {
@@ -19516,82 +35710,178 @@
           ],
           "min_signers": 7
         },
-        "x": "26010d116db4abb91cd312e7b8a3df06a337340644ee0cafc3dbb7d9356e9c84"
+        "x": "0af236aa1321364d7fd6c1715cb846f0e4c6879f815d7b85516f4d31125096b0"
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+          "02d98c78ce63fb6e1f73a13e9203728cd9ef4a22ce984caec076be269b1e363047"
+        ],
+        "shared_public_key": "03eaf9c42c84ad7b37af294810b022189197fd976902b1b0d2611e5ec477da33f0",
         "vss_setup": {
           "I": [
             {
@@ -19637,66 +35927,135 @@
           ],
           "min_signers": 7
         },
-        "x": "c1ce270bec816b632e8f40fb8987cd2a2c88beca44d64e9b6eca8ada3bc6c61e"
+        "x": "1aaa90c554d6ec749affc04e4fdbe12969f1ebec975cdf20ec1dd6b7096dd692"
       }
     }
   ],
   "t=Some(7),n=7,curve=secp256k1": [
     {
       "aux": {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 0,
         "public_shares": [
-          "03ac5d5748f34c8db1b25000b24ff61103e80147d00e13f650372532cc1a77aa82",
-          "02a50ea19e278cac94d19fb5e8b981568d5c735e4fd4a1b8fe2b4e77256565c740",
-          "038617cf861010e1f008e8d7b0d5b3222650d1e8819a22a59c07b1b9c43495308d",
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-          "02272e72e6a61ebfa8c8fd111c49c69ea0d92b869647f49490621bbe76ac0de936",
-          "0267b85fbaa2c76e8d6fd7942f2d9e9e38bc2061ed2372749f5133b0430a778ab7"
-        ],
-        "shared_public_key": "03c979eb044c051c7696aae4d7a6b2de35b4d5879cc273bc31ebd66340b2a2ef01",
+          "0297ba3416884660bbcbc1e263f588b13b143f6aec5b8d13b2ea68e9242ef040eb",
+          "03cbeec675d4f3c160938ddddc4f1e8567862fc4b8b0fef47a56d218fbf1a77ee9",
+          "028dbfa68d003bfdb269cd67575e633ce7930ba95db18fb1c025478aa1634930ad",
+          "02a861205d9d083b2ec33e8536f95e735251976fa5cadba394b361e54a935f0ba1",
+          "0222e329f1bb943af049248b773e6bd4b2e801ceb7d868768a7433acab3e073e4c",
+          "03e169cee3bbd70af4e629de575e65841440af0708e81adbf8a9d8f0b3a69e8d82",
+          "03b0c720109395b9aaef778407d29f2bf36dabc66c81a067c5d805ae793ce6cae7"
+        ],
+        "shared_public_key": "030a24de5b9738adc37674271b7f26f34fa92f8cd004ff421fd1e05b7b1b45f613",
         "vss_setup": {
           "I": [
             {
@@ -19730,64 +36089,133 @@
           ],
           "min_signers": 7
         },
-        "x": "fbc0d7a69b8cdfcbe0089a1da4f49a0f3a5d922eb50e83106aa52423c218a68e"
+        "x": "7ef6e4bd47cbc7704f61bd08a6d0aa30e12079a44ea6d1a8de2743e8e8755cf4"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "f7067b958a63d7851bc980ff3053a366a2f7a2ed38f1ad391f48c134e9ee464d2ff77b4033c8a8c8906a11a4c8def02b81b9a4fc746a2f3165c9d295d44343945ce1dc5f7459d0e3ae3271d5c1bb0c09fedb54a9f160ab6fc49c2f12019cc6a3e977413aaee2ffa71143bb82a0920c28134efec15106ac3a95c33b43f99ee262ed948c0d4e691fd0efbba3b1469da64018354c97805d6c1b976b9f6229965a31bd94a8f515cbb3755fea7f2d1844710d13075ef15542c0e8ca3b40121468aa0b"
+        },
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         ],
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 1,
         "public_shares": [
-          "03ac5d5748f34c8db1b25000b24ff61103e80147d00e13f650372532cc1a77aa82",
-          "02a50ea19e278cac94d19fb5e8b981568d5c735e4fd4a1b8fe2b4e77256565c740",
-          "038617cf861010e1f008e8d7b0d5b3222650d1e8819a22a59c07b1b9c43495308d",
-          "0234484c3339e64bfa9bfb058438cf797b4eb346743b1a37d001bcfe2a4f0e0d82",
-          "028a3b348ba66322a7280e337ac703d41b1c9ccbcf68b1861a2522fec0fb640315",
-          "02272e72e6a61ebfa8c8fd111c49c69ea0d92b869647f49490621bbe76ac0de936",
-          "0267b85fbaa2c76e8d6fd7942f2d9e9e38bc2061ed2372749f5133b0430a778ab7"
-        ],
-        "shared_public_key": "03c979eb044c051c7696aae4d7a6b2de35b4d5879cc273bc31ebd66340b2a2ef01",
+          "0297ba3416884660bbcbc1e263f588b13b143f6aec5b8d13b2ea68e9242ef040eb",
+          "03cbeec675d4f3c160938ddddc4f1e8567862fc4b8b0fef47a56d218fbf1a77ee9",
+          "028dbfa68d003bfdb269cd67575e633ce7930ba95db18fb1c025478aa1634930ad",
+          "02a861205d9d083b2ec33e8536f95e735251976fa5cadba394b361e54a935f0ba1",
+          "0222e329f1bb943af049248b773e6bd4b2e801ceb7d868768a7433acab3e073e4c",
+          "03e169cee3bbd70af4e629de575e65841440af0708e81adbf8a9d8f0b3a69e8d82",
+          "03b0c720109395b9aaef778407d29f2bf36dabc66c81a067c5d805ae793ce6cae7"
+        ],
+        "shared_public_key": "030a24de5b9738adc37674271b7f26f34fa92f8cd004ff421fd1e05b7b1b45f613",
         "vss_setup": {
           "I": [
             {
@@ -19821,64 +36249,133 @@
           ],
           "min_signers": 7
         },
-        "x": "220c598c834b9eeb1e0f0b8b45291d5f06ade4186b3d8d08ed7b98210efc2d29"
+        "x": "0999b874648aa60dc1b096f029c94b51a5610a7b1374749b1bcd2737824b3bad"
       }
     },
     {
       "aux": {
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+        "p": {
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+        },
         "parties": [
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+            },
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+            }
           }
         ],
-        "q": "bc40c42648ca864964f48fa4e3d26ea7181f2e32239c8d7a03068cbd9d84f0fe958324cbdbe69df3d2d0699462cf265950819b9f1651c3be1bf2c687f262851889e22492ef6f73b52d9db2da6ea408f18e9404a77bdd14770d56ac6683fd0c34a7980399ad6d6a711c8145cb1153a8ee0cbe491f5e08d08f8507d321849bdb92c6a82d86c0158fdd8cbffce5a68a6b50bd941611e71ba3f0366a2e2eb07ef619bd488fd3a27c32bd09d5fdc26f6e8befb99b9452d34ef0cb83307f25b1c25757"
+        "q": {
+          "radix": 16,
+          "value": "ab4b5e50c54439630fad58e07b108c2f886ae025ad2cd27ff977171ae6043c89ae6c7869e1a7a1127f85516b36e49a3833bfcdc002f2d38912307bf6a3481d9a9276f53eefcc9ecfda9a0a599ef404b670ce2d7cd703707c2107a1595b9c5d1210dc5e766088b3ceeab59dff6e4869c2dae2a6d23055889ef8a2b43f2d49926fe0880cf56e3f3c8c0f285b6a79776097dc234c74d9a3b1e727f24f7be6579bd2a3673eb80c4690e12170aa7d37d4f830e563d461d99e737450b085d2173e386f"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 2,
         "public_shares": [
-          "03ac5d5748f34c8db1b25000b24ff61103e80147d00e13f650372532cc1a77aa82",
-          "02a50ea19e278cac94d19fb5e8b981568d5c735e4fd4a1b8fe2b4e77256565c740",
-          "038617cf861010e1f008e8d7b0d5b3222650d1e8819a22a59c07b1b9c43495308d",
-          "0234484c3339e64bfa9bfb058438cf797b4eb346743b1a37d001bcfe2a4f0e0d82",
-          "028a3b348ba66322a7280e337ac703d41b1c9ccbcf68b1861a2522fec0fb640315",
-          "02272e72e6a61ebfa8c8fd111c49c69ea0d92b869647f49490621bbe76ac0de936",
-          "0267b85fbaa2c76e8d6fd7942f2d9e9e38bc2061ed2372749f5133b0430a778ab7"
-        ],
-        "shared_public_key": "03c979eb044c051c7696aae4d7a6b2de35b4d5879cc273bc31ebd66340b2a2ef01",
+          "0297ba3416884660bbcbc1e263f588b13b143f6aec5b8d13b2ea68e9242ef040eb",
+          "03cbeec675d4f3c160938ddddc4f1e8567862fc4b8b0fef47a56d218fbf1a77ee9",
+          "028dbfa68d003bfdb269cd67575e633ce7930ba95db18fb1c025478aa1634930ad",
+          "02a861205d9d083b2ec33e8536f95e735251976fa5cadba394b361e54a935f0ba1",
+          "0222e329f1bb943af049248b773e6bd4b2e801ceb7d868768a7433acab3e073e4c",
+          "03e169cee3bbd70af4e629de575e65841440af0708e81adbf8a9d8f0b3a69e8d82",
+          "03b0c720109395b9aaef778407d29f2bf36dabc66c81a067c5d805ae793ce6cae7"
+        ],
+        "shared_public_key": "030a24de5b9738adc37674271b7f26f34fa92f8cd004ff421fd1e05b7b1b45f613",
         "vss_setup": {
           "I": [
             {
@@ -19912,64 +36409,133 @@
           ],
           "min_signers": 7
         },
-        "x": "7d7c74042f4244dfc0652f52cb9e8bbb4e4a60262aa5ae8559927f4cac2f56da"
+        "x": "99c6cb54670577275f8f7e6de79f7dedca68b302c587836f45a9c9f22f339e91"
       }
     },
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "e95a66053852c6cb49b8ea458537e9a133bf469e2113d744c8198407ec0c68a7629dd8591d223a94e1240aaf140d4a9dfe9fb0e8fa04822935a752f0fa9a55c17c7f913b1d0625d869edae2773a1ee77f306e93ac21ccf2e955cf23e29f382e993f8bcea044e6ec10cd1b11471d034037bfd26a17ad2c25fea271f5e566eac5a5dfab566784e6c43680cf4e2f7ecebfcd726f9c72b0baaf22f0a066bcfa2acb722ac86db660ca69ee942aa1089ebb62dcc4cff0bd895fb3d1c25dc1e9d7ffed7"
+        },
         "parties": [
           {
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       "core": {
         "curve": "secp256k1",
         "i": 3,
         "public_shares": [
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-        ],
-        "shared_public_key": "03c979eb044c051c7696aae4d7a6b2de35b4d5879cc273bc31ebd66340b2a2ef01",
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+          "03e169cee3bbd70af4e629de575e65841440af0708e81adbf8a9d8f0b3a69e8d82",
+          "03b0c720109395b9aaef778407d29f2bf36dabc66c81a067c5d805ae793ce6cae7"
+        ],
+        "shared_public_key": "030a24de5b9738adc37674271b7f26f34fa92f8cd004ff421fd1e05b7b1b45f613",
         "vss_setup": {
           "I": [
             {
@@ -20003,64 +36569,133 @@
           ],
           "min_signers": 7
         },
-        "x": "ed02852ce434ec39924136e61d88431a7f5d9233dda80f53b78805544cb73ccf"
+        "x": "f288ae8e39db1ab7b27bb732c1895763a446eb6db2b6431f3dc779899a323cf0"
       }
     },
     {
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       },
       "core": {
         "curve": "secp256k1",
         "i": 4,
         "public_shares": [
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-        "shared_public_key": "03c979eb044c051c7696aae4d7a6b2de35b4d5879cc273bc31ebd66340b2a2ef01",
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+          "03cbeec675d4f3c160938ddddc4f1e8567862fc4b8b0fef47a56d218fbf1a77ee9",
+          "028dbfa68d003bfdb269cd67575e633ce7930ba95db18fb1c025478aa1634930ad",
+          "02a861205d9d083b2ec33e8536f95e735251976fa5cadba394b361e54a935f0ba1",
+          "0222e329f1bb943af049248b773e6bd4b2e801ceb7d868768a7433acab3e073e4c",
+          "03e169cee3bbd70af4e629de575e65841440af0708e81adbf8a9d8f0b3a69e8d82",
+          "03b0c720109395b9aaef778407d29f2bf36dabc66c81a067c5d805ae793ce6cae7"
+        ],
+        "shared_public_key": "030a24de5b9738adc37674271b7f26f34fa92f8cd004ff421fd1e05b7b1b45f613",
         "vss_setup": {
           "I": [
             {
@@ -20094,64 +36729,133 @@
           ],
           "min_signers": 7
         },
-        "x": "d77fc6e8a85726b47cb043470356cd15d6d4b1e44c277d57a354fea96666a907"
+        "x": "7125490378ff5bb1eed14b72a58e26eb3904844aa25ecd2d1859a38014fae503"
       }
     },
     {
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+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 5,
         "public_shares": [
-          "03ac5d5748f34c8db1b25000b24ff61103e80147d00e13f650372532cc1a77aa82",
-          "02a50ea19e278cac94d19fb5e8b981568d5c735e4fd4a1b8fe2b4e77256565c740",
-          "038617cf861010e1f008e8d7b0d5b3222650d1e8819a22a59c07b1b9c43495308d",
-          "0234484c3339e64bfa9bfb058438cf797b4eb346743b1a37d001bcfe2a4f0e0d82",
-          "028a3b348ba66322a7280e337ac703d41b1c9ccbcf68b1861a2522fec0fb640315",
-          "02272e72e6a61ebfa8c8fd111c49c69ea0d92b869647f49490621bbe76ac0de936",
-          "0267b85fbaa2c76e8d6fd7942f2d9e9e38bc2061ed2372749f5133b0430a778ab7"
-        ],
-        "shared_public_key": "03c979eb044c051c7696aae4d7a6b2de35b4d5879cc273bc31ebd66340b2a2ef01",
+          "0297ba3416884660bbcbc1e263f588b13b143f6aec5b8d13b2ea68e9242ef040eb",
+          "03cbeec675d4f3c160938ddddc4f1e8567862fc4b8b0fef47a56d218fbf1a77ee9",
+          "028dbfa68d003bfdb269cd67575e633ce7930ba95db18fb1c025478aa1634930ad",
+          "02a861205d9d083b2ec33e8536f95e735251976fa5cadba394b361e54a935f0ba1",
+          "0222e329f1bb943af049248b773e6bd4b2e801ceb7d868768a7433acab3e073e4c",
+          "03e169cee3bbd70af4e629de575e65841440af0708e81adbf8a9d8f0b3a69e8d82",
+          "03b0c720109395b9aaef778407d29f2bf36dabc66c81a067c5d805ae793ce6cae7"
+        ],
+        "shared_public_key": "030a24de5b9738adc37674271b7f26f34fa92f8cd004ff421fd1e05b7b1b45f613",
         "vss_setup": {
           "I": [
             {
@@ -20185,64 +36889,133 @@
           ],
           "min_signers": 7
         },
-        "x": "c4282a1dddc11b7d0827c46d6da0dad6ebbb3a618b18d5b7849f21999f068c76"
+        "x": "36e31766d84ffb0de1b8a622a4ce8708e80c47fa92eff25263e05db795ddcaad"
       }
     },
     {
       "aux": {
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+        "p": {
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+            }
           }
         ],
-        "q": "9da61cff70cff55c8203634077a0da641f8409e64a0cdce1a0ee3a4bbd21b7922945059d901469efbbb1837636e42d6cddb9c13f81bbdaf35911df1e8c744d0ac05ce6b0f5fd3355b3177bcca07549b0726a4838d57d5d8a8286f5c2bae0def00f9425ed3fef9756a52e4e1fafdd7452d92aec8c11c743b3be6cb6fc6b7d8962d0c55e140c3bf407d1340948a89a7bb86dd35e8ddf349d02c54c71d4cb8cc1d5f7503ecd34552eb4baf0236af79ba032b48ce78e77263b0181308ec81c77bda7"
+        "q": {
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+          "value": "b649f2b258c99e406814cc1f3d998276ba96943c50dc88d00dc189008fdcb37bd2e498e44a268278c7dd31456e41838eb1570947409839b3ab59de4e358c2d158bf42b42f989eb4edfa63c4ff864f769bae13e3f5d15f5c782a2cab8b08e245b768729c7ab49dacffc5a1de238c2bb5e865ef22db50d8dcdd5ee30c8c2b3d4d399374dfd25733864e4f0dce74c2b8fceedc33f8c53c05d10e3607f8c6ff18d6b6d097ebed0947545bdcf49314fd0cce0289f20858dd7bb55d36a7266cd4ed6af"
+        }
       },
       "core": {
         "curve": "secp256k1",
         "i": 6,
         "public_shares": [
-          "03ac5d5748f34c8db1b25000b24ff61103e80147d00e13f650372532cc1a77aa82",
-          "02a50ea19e278cac94d19fb5e8b981568d5c735e4fd4a1b8fe2b4e77256565c740",
-          "038617cf861010e1f008e8d7b0d5b3222650d1e8819a22a59c07b1b9c43495308d",
-          "0234484c3339e64bfa9bfb058438cf797b4eb346743b1a37d001bcfe2a4f0e0d82",
-          "028a3b348ba66322a7280e337ac703d41b1c9ccbcf68b1861a2522fec0fb640315",
-          "02272e72e6a61ebfa8c8fd111c49c69ea0d92b869647f49490621bbe76ac0de936",
-          "0267b85fbaa2c76e8d6fd7942f2d9e9e38bc2061ed2372749f5133b0430a778ab7"
-        ],
-        "shared_public_key": "03c979eb044c051c7696aae4d7a6b2de35b4d5879cc273bc31ebd66340b2a2ef01",
+          "0297ba3416884660bbcbc1e263f588b13b143f6aec5b8d13b2ea68e9242ef040eb",
+          "03cbeec675d4f3c160938ddddc4f1e8567862fc4b8b0fef47a56d218fbf1a77ee9",
+          "028dbfa68d003bfdb269cd67575e633ce7930ba95db18fb1c025478aa1634930ad",
+          "02a861205d9d083b2ec33e8536f95e735251976fa5cadba394b361e54a935f0ba1",
+          "0222e329f1bb943af049248b773e6bd4b2e801ceb7d868768a7433acab3e073e4c",
+          "03e169cee3bbd70af4e629de575e65841440af0708e81adbf8a9d8f0b3a69e8d82",
+          "03b0c720109395b9aaef778407d29f2bf36dabc66c81a067c5d805ae793ce6cae7"
+        ],
+        "shared_public_key": "030a24de5b9738adc37674271b7f26f34fa92f8cd004ff421fd1e05b7b1b45f613",
         "vss_setup": {
           "I": [
             {
@@ -20276,66 +37049,135 @@
           ],
           "min_signers": 7
         },
-        "x": "d81c7481230fc02f1b638a4b760b71ec7e81a8c8bc06a4be23ea9e1f41a7e9c9"
+        "x": "441d2872cf3d203f9fbdde1dc09693a1920e1d7dc097dd923f2c6251f49811de"
       }
     }
   ],
   "t=Some(7),n=7,curve=secp256r1": [
     {
       "aux": {
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+        "p": {
+          "radix": 16,
+          "value": "c3a144ea84ae49c609de1fdfa856fa36ef9082f9aaf121b2de87be19720018f89f957a9feda168b517e8108ec689df77a3e51be41e678efae9503540a97badf4d565d7a214028bbc3f2d99a1ba37c6f1269baf30cb7a13b9f8d65cfffc552284d557a74a17a297d741c138426d6273474f12e139594fe7e254d3a058cae4c689d62799f5f50aa0b9a25e41a4a6a63afb13fcd245a4d3af93a156f22ec6647c9c329fb2ade260741142f4ab98d8afd761e7e2b0de3614e8d57bf2efe6b1f4d983"
+        },
         "parties": [
           {
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+            }
           }
         ],
-        "q": "f223921e3b78e5c78541fc850d831e523062473afb176562ac60b5a8d563b055722b47bce42d141bd7ddaecb1c14c58b0ffdeae857167013b92c07a94ac37635fea117fa8d305028f6d5f227ddc5e215af47a388b982e1e1076599c6c08f5563a324feaa032af1f5f465a241d0656023a6f1ca77d46acac9c528a1ce0c1ed5755f05238ed00ba6b4c09f44d6013015e10f996ed0bc58be37089401f21b9b58f517b2bc15dc900baac4530aeec8bced4afbfaabae62e132f696abd57975c40fb7"
+        "q": {
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 0,
         "public_shares": [
-          "03b612de02be60f667023322fcb24b3ee9ebac0ddf3ac5141f26a8082e6b26f14a",
-          "0366214079a18de372f66aec4957f9774cd19a37b4a40712b9c3524640bf5d1861",
-          "02400ef4fc877fe4332fd2eb9590da3336183e66f7138a9fb0ebcb18b779f0a742",
-          "02ee2097be5a0ba6702259cebc66809e33156c2d3f89881795d0cc0d7e91d94b7a",
-          "02181b6df03fe2c7c4208e6c7363bc53c99b3bd14cc59d40d65fb1d191353d7dc8",
-          "02c41a417f193c6d0d671e76b20c0c473dded8a74e2ad3c26fac1191fac3207596",
-          "0280b00e6d95c9e18561a78355d2e4cd0952fcf3b4902629dbf64f390d8968889f"
-        ],
-        "shared_public_key": "03bd38b682343f100827b108c00722d5bf4f599b4b70a8b5f484321bebe4f45318",
+          "025ed9f62832427487ea1dcafd5997ed58eb5f4584eb874647404e118609f67f33",
+          "037165e2c6d30be47e30dd139ca393f22c4222e99202797a812870d647aaf7f1dd",
+          "02960735a468f209b606455039b7879b68da4f2733aacbebd8778a6c7facf54b7a",
+          "03c612cb4650aa47566a57112686c1da8a04fca88cae940bc684e3949f34b9aba5",
+          "035107bf7a7a037e8023ab64fdc5503b63c2188eddf6a511ecd71a1fa17c799841",
+          "02633cb1e8c2121477b5a6c2e7810621b80244530c96cc97e0484fb320f18c3d4d",
+          "020f9d1ce34273302e764bd47f24ba7e98b2e67bc2756adb6f2c52831aa477289e"
+        ],
+        "shared_public_key": "03c765b3e54c66321fc24b2a10f57636eebf2af5e63d1cdf6f871668991b5afb83",
         "vss_setup": {
           "I": [
             {
@@ -20369,64 +37211,133 @@
           ],
           "min_signers": 7
         },
-        "x": "52f3a95eada291433ce1bbdffb118a28bce23c8b9ec1e54065dba38fcf761a9e"
+        "x": "6a8328d54a3a7b015f1d0365250a624cada159fc241ae2d271325bcd3be51bc9"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "8688c0286a584ac83a74543fb2d1a477ecf4e36983f1e37994a126f0a7c9dcc1baa457a57b76e3bbbaeb642fdf32574009343630892c57e4fc859bfa288286dd5a739c864a924cb37fcd7d63409b42b9df7831bcd6210a85a6e93db15f384c9b4ff4b30498a457d248e152a93b6616d51f73cda6ca9b1e991536bec43f09830d67edd9880d7d7f49f960c22cd0bb8a3fef04799baec746aaf4bfcfcfe30944867195b577d47f4493ce6ec6cf8eff3a4098686dcc1d9ced8fa61017dfb73d2a07"
+        },
         "parties": [
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+            },
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+        "q": {
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+          "value": "83c898e3cb0136ad50a926a828bd5fb9d6085d615bcf926f1465674a7df1a288e1258382bbe52dafad94fcf932d2a0175448a55ace84238f4d4a2d062b55b31101d5b90bcba46b906dc99e468e85ba839faf207204ae2343db259a698a9e3fce01324aeff1cc748ceb6ac2a367ab9cf327d614fc0a585fd4cbeb521bcb2957c126f8d3c24899842bda7ae579b1e174aceba3f6d636c0c53eacf7434f1fe261778044dc9fd385bfbf87887e8bf47eb95bb09ec6b2ba8618afc7721c29444d645b"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 1,
         "public_shares": [
-          "03b612de02be60f667023322fcb24b3ee9ebac0ddf3ac5141f26a8082e6b26f14a",
-          "0366214079a18de372f66aec4957f9774cd19a37b4a40712b9c3524640bf5d1861",
-          "02400ef4fc877fe4332fd2eb9590da3336183e66f7138a9fb0ebcb18b779f0a742",
-          "02ee2097be5a0ba6702259cebc66809e33156c2d3f89881795d0cc0d7e91d94b7a",
-          "02181b6df03fe2c7c4208e6c7363bc53c99b3bd14cc59d40d65fb1d191353d7dc8",
-          "02c41a417f193c6d0d671e76b20c0c473dded8a74e2ad3c26fac1191fac3207596",
-          "0280b00e6d95c9e18561a78355d2e4cd0952fcf3b4902629dbf64f390d8968889f"
-        ],
-        "shared_public_key": "03bd38b682343f100827b108c00722d5bf4f599b4b70a8b5f484321bebe4f45318",
+          "025ed9f62832427487ea1dcafd5997ed58eb5f4584eb874647404e118609f67f33",
+          "037165e2c6d30be47e30dd139ca393f22c4222e99202797a812870d647aaf7f1dd",
+          "02960735a468f209b606455039b7879b68da4f2733aacbebd8778a6c7facf54b7a",
+          "03c612cb4650aa47566a57112686c1da8a04fca88cae940bc684e3949f34b9aba5",
+          "035107bf7a7a037e8023ab64fdc5503b63c2188eddf6a511ecd71a1fa17c799841",
+          "02633cb1e8c2121477b5a6c2e7810621b80244530c96cc97e0484fb320f18c3d4d",
+          "020f9d1ce34273302e764bd47f24ba7e98b2e67bc2756adb6f2c52831aa477289e"
+        ],
+        "shared_public_key": "03c765b3e54c66321fc24b2a10f57636eebf2af5e63d1cdf6f871668991b5afb83",
         "vss_setup": {
           "I": [
             {
@@ -20460,64 +37371,133 @@
           ],
           "min_signers": 7
         },
-        "x": "8faaf006de357ac0705395449b205974e186b798020feb8fc25f09f03c70baee"
+        "x": "34472888a097519bde1025cfbeda5bab31701e24512fe1df0e9cbb4a8e883d09"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "8bff4510ac35bfa3737665f695106bb8fb5bb8383142efd4fa43c5cb254120ed3c179162b4edf00405c31582d6f3557be662c7eeff0c7e34d125c06cdc910fcbfed8ba38f138f67573a3a59b1198597dd5d2599b92414ed9ad95a75c0af495bb030ad801277a21383da31fb3dc48a9fbfe8271423432b93f00ce4048bf1688c56ac5c6832ff802aef739d32332e2c0ebb1f52dc9b79d58b7a7ad59e2f38112a108bcd7d05538d9c45cbecc8f5b158bdeb0a4d8705c8fd7177dc0ac28f055ebd3"
+        },
         "parties": [
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       },
       "core": {
         "curve": "secp256r1",
         "i": 2,
         "public_shares": [
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-          "0366214079a18de372f66aec4957f9774cd19a37b4a40712b9c3524640bf5d1861",
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-        ],
-        "shared_public_key": "03bd38b682343f100827b108c00722d5bf4f599b4b70a8b5f484321bebe4f45318",
+          "025ed9f62832427487ea1dcafd5997ed58eb5f4584eb874647404e118609f67f33",
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+          "02960735a468f209b606455039b7879b68da4f2733aacbebd8778a6c7facf54b7a",
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+          "035107bf7a7a037e8023ab64fdc5503b63c2188eddf6a511ecd71a1fa17c799841",
+          "02633cb1e8c2121477b5a6c2e7810621b80244530c96cc97e0484fb320f18c3d4d",
+          "020f9d1ce34273302e764bd47f24ba7e98b2e67bc2756adb6f2c52831aa477289e"
+        ],
+        "shared_public_key": "03c765b3e54c66321fc24b2a10f57636eebf2af5e63d1cdf6f871668991b5afb83",
         "vss_setup": {
           "I": [
             {
@@ -20551,64 +37531,133 @@
           ],
           "min_signers": 7
         },
-        "x": "f660b047b7b98027e0548889fd3a691eb705595512a387b4ee32ca6c926efc61"
+        "x": "3ea6aade5d44ef546d6be112b3245d3acff2e045e1645ae9693c548d72974612"
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     },
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 3,
         "public_shares": [
-          "03b612de02be60f667023322fcb24b3ee9ebac0ddf3ac5141f26a8082e6b26f14a",
-          "0366214079a18de372f66aec4957f9774cd19a37b4a40712b9c3524640bf5d1861",
-          "02400ef4fc877fe4332fd2eb9590da3336183e66f7138a9fb0ebcb18b779f0a742",
-          "02ee2097be5a0ba6702259cebc66809e33156c2d3f89881795d0cc0d7e91d94b7a",
-          "02181b6df03fe2c7c4208e6c7363bc53c99b3bd14cc59d40d65fb1d191353d7dc8",
-          "02c41a417f193c6d0d671e76b20c0c473dded8a74e2ad3c26fac1191fac3207596",
-          "0280b00e6d95c9e18561a78355d2e4cd0952fcf3b4902629dbf64f390d8968889f"
-        ],
-        "shared_public_key": "03bd38b682343f100827b108c00722d5bf4f599b4b70a8b5f484321bebe4f45318",
+          "025ed9f62832427487ea1dcafd5997ed58eb5f4584eb874647404e118609f67f33",
+          "037165e2c6d30be47e30dd139ca393f22c4222e99202797a812870d647aaf7f1dd",
+          "02960735a468f209b606455039b7879b68da4f2733aacbebd8778a6c7facf54b7a",
+          "03c612cb4650aa47566a57112686c1da8a04fca88cae940bc684e3949f34b9aba5",
+          "035107bf7a7a037e8023ab64fdc5503b63c2188eddf6a511ecd71a1fa17c799841",
+          "02633cb1e8c2121477b5a6c2e7810621b80244530c96cc97e0484fb320f18c3d4d",
+          "020f9d1ce34273302e764bd47f24ba7e98b2e67bc2756adb6f2c52831aa477289e"
+        ],
+        "shared_public_key": "03c765b3e54c66321fc24b2a10f57636eebf2af5e63d1cdf6f871668991b5afb83",
         "vss_setup": {
           "I": [
             {
@@ -20642,64 +37691,133 @@
           ],
           "min_signers": 7
         },
-        "x": "7b70ca6f6dfc40e3ce704407c62759ec30905e87dbdbd90e1ca8d8c11727d740"
+        "x": "3e109ee08b00cd9060807e26c1b2a2407e1655a21b568943c17634f8e7b99d4d"
       }
     },
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+            }
           }
         ],
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+        "q": {
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+          "value": "82cd0622fdf1649075839567e0c0b1fd6757b4f28b1b9510ff628f107e6bfe2540fe1be7a2571eebade6eb3433384c4e566a32121cd2a27effd22936c9f6f697da8a46717f2feaf83bce29f22b4ce7da27b37d8179a5b218d4fb6aad138272fca31f3b0bee6362262e172e34e1ecbcedc2b7adc926e595285fc2f4ed88de17bb3548ec6f28ea67c82754e416fa90577ae212848d344d44aa8904b2a39906d0ae897e9112d04a6286918f46a3b436476e9b95024155a61065e906f2b0e22920cb"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 4,
         "public_shares": [
-          "03b612de02be60f667023322fcb24b3ee9ebac0ddf3ac5141f26a8082e6b26f14a",
-          "0366214079a18de372f66aec4957f9774cd19a37b4a40712b9c3524640bf5d1861",
-          "02400ef4fc877fe4332fd2eb9590da3336183e66f7138a9fb0ebcb18b779f0a742",
-          "02ee2097be5a0ba6702259cebc66809e33156c2d3f89881795d0cc0d7e91d94b7a",
-          "02181b6df03fe2c7c4208e6c7363bc53c99b3bd14cc59d40d65fb1d191353d7dc8",
-          "02c41a417f193c6d0d671e76b20c0c473dded8a74e2ad3c26fac1191fac3207596",
-          "0280b00e6d95c9e18561a78355d2e4cd0952fcf3b4902629dbf64f390d8968889f"
-        ],
-        "shared_public_key": "03bd38b682343f100827b108c00722d5bf4f599b4b70a8b5f484321bebe4f45318",
+          "025ed9f62832427487ea1dcafd5997ed58eb5f4584eb874647404e118609f67f33",
+          "037165e2c6d30be47e30dd139ca393f22c4222e99202797a812870d647aaf7f1dd",
+          "02960735a468f209b606455039b7879b68da4f2733aacbebd8778a6c7facf54b7a",
+          "03c612cb4650aa47566a57112686c1da8a04fca88cae940bc684e3949f34b9aba5",
+          "035107bf7a7a037e8023ab64fdc5503b63c2188eddf6a511ecd71a1fa17c799841",
+          "02633cb1e8c2121477b5a6c2e7810621b80244530c96cc97e0484fb320f18c3d4d",
+          "020f9d1ce34273302e764bd47f24ba7e98b2e67bc2756adb6f2c52831aa477289e"
+        ],
+        "shared_public_key": "03c765b3e54c66321fc24b2a10f57636eebf2af5e63d1cdf6f871668991b5afb83",
         "vss_setup": {
           "I": [
             {
@@ -20733,64 +37851,133 @@
           ],
           "min_signers": 7
         },
-        "x": "4cdcf63a3ebd907d01520d4a511e2faf8128031bcaa41b12a8ee5162c7031bc0"
+        "x": "21a2be806f25e9f8afd850352cb8e0e801fa172b567ab129182bc9d558d3152d"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "c069fc0c96da1d458d594ce48775d6a14ee468dbf2dab3ca03717654aa80e9b862bea0f9158d0d8494b96ae3f7eb924096c74d533dd76ddb107ffd07e4c9dedd52fdea85dea5ab137a2f6e2cc4eca7a5440b6746af3bcb2ed54d2312b2d2d1f7e0cc526c4539e9fbd7223a2b4d5b6569792c62f5e79cb9d2665047764df65d09bc1d0d03164faf90c22e3fa14030c10e036ae6bdd6010e4e7b200a8293d0ff4af17f9154fd5b00f7b32ceb18554744d837cd146cacfc59f9084dd4d6e0f8683b"
+        },
         "parties": [
           {
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+            }
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         ],
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+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 5,
         "public_shares": [
-          "03b612de02be60f667023322fcb24b3ee9ebac0ddf3ac5141f26a8082e6b26f14a",
-          "0366214079a18de372f66aec4957f9774cd19a37b4a40712b9c3524640bf5d1861",
-          "02400ef4fc877fe4332fd2eb9590da3336183e66f7138a9fb0ebcb18b779f0a742",
-          "02ee2097be5a0ba6702259cebc66809e33156c2d3f89881795d0cc0d7e91d94b7a",
-          "02181b6df03fe2c7c4208e6c7363bc53c99b3bd14cc59d40d65fb1d191353d7dc8",
-          "02c41a417f193c6d0d671e76b20c0c473dded8a74e2ad3c26fac1191fac3207596",
-          "0280b00e6d95c9e18561a78355d2e4cd0952fcf3b4902629dbf64f390d8968889f"
-        ],
-        "shared_public_key": "03bd38b682343f100827b108c00722d5bf4f599b4b70a8b5f484321bebe4f45318",
+          "025ed9f62832427487ea1dcafd5997ed58eb5f4584eb874647404e118609f67f33",
+          "037165e2c6d30be47e30dd139ca393f22c4222e99202797a812870d647aaf7f1dd",
+          "02960735a468f209b606455039b7879b68da4f2733aacbebd8778a6c7facf54b7a",
+          "03c612cb4650aa47566a57112686c1da8a04fca88cae940bc684e3949f34b9aba5",
+          "035107bf7a7a037e8023ab64fdc5503b63c2188eddf6a511ecd71a1fa17c799841",
+          "02633cb1e8c2121477b5a6c2e7810621b80244530c96cc97e0484fb320f18c3d4d",
+          "020f9d1ce34273302e764bd47f24ba7e98b2e67bc2756adb6f2c52831aa477289e"
+        ],
+        "shared_public_key": "03c765b3e54c66321fc24b2a10f57636eebf2af5e63d1cdf6f871668991b5afb83",
         "vss_setup": {
           "I": [
             {
@@ -20824,64 +38011,133 @@
           ],
           "min_signers": 7
         },
-        "x": "aab4f8784c66108468ead21382dd45ffc550d53874333d19d2e72d844863629f"
+        "x": "ca9956df32e53951ac266baae52ba2cc7f14daf7e469474b0a21ff277d9af4bf"
       }
     },
     {
       "aux": {
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+        "p": {
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+          "value": "8b45d9415bc7726bbfe62cfb27a1bbb6e702bdb3309bd657fe8f9a43e213ed30049e0438fa66871c2d0f784f75da7953144bd71c2ffa34af5c4a2f3b6d3bb5b664b16751b1b662ac41034c3615155014691dd4e4efc5038a27508ce139e83949d7c45696c5675d4eaaeb3abeb8147c76fcb82c90155fcd7d9108292bd7d0e3d326cc5dcb9e4fdaf174f557b4863055018ce1cbf8eed2582259d8101ece21982a9a7cdb7b416500d7b3a59320594b26f7b3b856a5812460f5d074776dbb3ee7bf"
+        },
         "parties": [
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+              "value": "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"
+            },
+            "t": {
+              "radix": 16,
+              "value": "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"
+            }
           }
         ],
-        "q": "98d952f2deb500f3b0508f15331fc1ac3736f203efee65780063925f32d399c97f5a0413a5aec2c80a92d7fc8bc8853931f05a780b45d627a4de00ba13f00481989b4eeaa2a1ffe990cf56b557a3300c05bc05aebe5cf424a3a7e49e8981d592bada4b8a66bd1635b2dc1a8b3ad93c62c514a6caafa9cc98cca11489450424f359f62f060fe33a0f889a4b1feee8af44bf71579f0f35a19d252d22f4957cf311947a6bced983a9752562e8dc1f1ed34df724d4399216b9850ffa011b665e6943"
+        "q": {
+          "radix": 16,
+          "value": "d8f63241641528a890ef0659bfbf704dabdca28f84aa51d41707560d0adcf1c3ced82174d2a1f8abec2ffd0a8346b5e28bc2b80ebeffc0722daf5ea227ba01695bdcf386a3ac77fa93b09e1d80e0bda887af4046f38f453d73acb0d9f501fa644719107bbcc5e303c6ee26f47baef0d0d40389db7ea2505a77292dba8f617104ae6cffe9a8b9f8380164c84269611e0696e83ad1a83c6ea3ce3079f0596930d642fda82f26bd5062e17c7a762921f22c1ed0d79a7abe9246c5d57043a6b8d62b"
+        }
       },
       "core": {
         "curve": "secp256r1",
         "i": 6,
         "public_shares": [
-          "03b612de02be60f667023322fcb24b3ee9ebac0ddf3ac5141f26a8082e6b26f14a",
-          "0366214079a18de372f66aec4957f9774cd19a37b4a40712b9c3524640bf5d1861",
-          "02400ef4fc877fe4332fd2eb9590da3336183e66f7138a9fb0ebcb18b779f0a742",
-          "02ee2097be5a0ba6702259cebc66809e33156c2d3f89881795d0cc0d7e91d94b7a",
-          "02181b6df03fe2c7c4208e6c7363bc53c99b3bd14cc59d40d65fb1d191353d7dc8",
-          "02c41a417f193c6d0d671e76b20c0c473dded8a74e2ad3c26fac1191fac3207596",
-          "0280b00e6d95c9e18561a78355d2e4cd0952fcf3b4902629dbf64f390d8968889f"
-        ],
-        "shared_public_key": "03bd38b682343f100827b108c00722d5bf4f599b4b70a8b5f484321bebe4f45318",
+          "025ed9f62832427487ea1dcafd5997ed58eb5f4584eb874647404e118609f67f33",
+          "037165e2c6d30be47e30dd139ca393f22c4222e99202797a812870d647aaf7f1dd",
+          "02960735a468f209b606455039b7879b68da4f2733aacbebd8778a6c7facf54b7a",
+          "03c612cb4650aa47566a57112686c1da8a04fca88cae940bc684e3949f34b9aba5",
+          "035107bf7a7a037e8023ab64fdc5503b63c2188eddf6a511ecd71a1fa17c799841",
+          "02633cb1e8c2121477b5a6c2e7810621b80244530c96cc97e0484fb320f18c3d4d",
+          "020f9d1ce34273302e764bd47f24ba7e98b2e67bc2756adb6f2c52831aa477289e"
+        ],
+        "shared_public_key": "03c765b3e54c66321fc24b2a10f57636eebf2af5e63d1cdf6f871668991b5afb83",
         "vss_setup": {
           "I": [
             {
@@ -20915,7 +38171,7 @@
           ],
           "min_signers": 7
         },
-        "x": "09f85c2bd2e928f250df36b90ccd63da9083279ef2b99a88820b89b1e9f48c28"
+        "x": "fd44b678f86e610fc28c9cb2a97a5a30c41f08a88b05fee944792b2ff6019e7e"
       }
     }
   ]
diff --git a/test-data/pregenerated_primes.json b/test-data/pregenerated_primes.json
index 55e5d19..485ed2f 100644
--- a/test-data/pregenerated_primes.json
+++ b/test-data/pregenerated_primes.json
@@ -1,25 +1,85 @@
 {
   "primes": [
-    "d43655304cee804b0da3b82769a850cc7c827bd2aa945dd817c6c5d430196cf6b2c5cd1062e81302f5e18938e7ea45c60282c6ecc368b99f77b8b2fddbf9282ace09d7469dbdb5f1d5b4cbc0f8511966d5625f98cafec9afec37fff59bb5b62b67c0fae2572bda3a7e7ac20f9cdac0e594851c5577b30c56ca1930a1c45c88a31c6afe56bdc825696c189f3f51df9ddae05aa4540e7c590077e61647abe32c96ed8505b3ef199f2c85fdf715372203e239ef016427429e0482672979bd6226ff",
-    "c01e6c06c858e2342a676a4485b9e73b17dc9db92066a008461d8c80e270860a343a728869d56acff81d9462cf68789c5792c8e78a3a5b8289e33546bf42550b0384c509741a6ae302c17819d004c01a380fe3309a92c6a3757a2d32e475a2dff769c4481d25683bf983accc247a08b91fbc27f070e0b63ce05ed77994607a0dd51c9a5321039e241471313388ee49c0f7ab0013ec613d5ea2605b740b8f6e77eacb1ed84ef9bb2a22ceb8cf7dc40b35ab937e3367b97992a219f6b0c9326947",
-    "b572cb7aeda31a00566feb857160d31d25711140987d11affc498be12c3de68be02a274be58bb0c384077162bdc11afcf1633443c05b609756007cb799668c4ebec5c018023d960be3a5fc3c5404b7784f65dee1718b61527f091312aa154991ed091b40c5b2332cb9db07a38f488b995c49a797f35cd44ce9677699f3aaa969a90821c90256bfb0c8ad16e2043789b62261f20bd3ff3f85a9dff99085e38c77aa607a93c50154a37f7507dd367eeb7e7814f1df45e576096a7a6b78b6e7f34f",
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-    "f7b1f4253da2af929a46d937ff22a57957077f1c5f3b40062e22a65cc7c58bae2f8c63e30217caa9d003f5ae3cdcce549a8185ec2274645b274fa57cb9c11c6451309b2605e37af192b5126fe6362d6aa5a65c42befcc51780c459f6845e64e0125aecefacc35f56f462d8b7333afa83eea84878e0ce69ab1e20a28c58dcf05752185cae4a22137bc784783d8d5cdeb4e2fe4ca04974fdee0cd320b4a7e3bf063fb9c2f0fa91eaa1da7c8d1f259a7be7700df2a5fe972e19b871ac551aae8733",
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-    "d6d5707603bd3fc6c532de68b219928144bb4f8f1a7ebfeec8478f4fce778f16e4f914ec51973cc84e8e5e6c694e14302cf842f6f613c7d4ce74a0625d558d64cbda209b8706f86632b5bab2ab25f2616fd01c1ee3ca5b8e0345ae457e9113456fab460fe8464c36fe8b189b0a82a6b3be49a9c25d9d9aa59fdf4ee419f958fcb9a72ca92eedb3ca85e2a9a3dedb0222c97aaa3ebcc8508af4b14cc4029937d18ef277a7dcb93ed2941769ea19a28649701f655c3bdf2c3e384de4a34a00d60b",
-    "da62044538e96917e5c8c6d7515eea10f2298982abef5766fbab73ce24ce013527c56c0888b632431f7c62a04ebbc4e975182db015456c8a80fc00163be01772d32649a7ec1b35ee741a6cff679ccec7e67e68ba5b18f656d816e9d64df3fc4f69c3517019270d2c7740c5902c05beb0c3b0c5640400778032e973fbbe9a8bfb3d3ce3ea332f0264ca6edb906a09626ff3437d2ca33bdbba212771058756e119d11e3243e0552543f3a72f265a12f572dda005b149fba033b56cc8b72bda41e7",
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-    "d65a09601db32f06220f2a893a870f5f356e8cc58971952bc11570044496e5262562a88aff86b08fd4ef7dc881f67e9a0c938baf286dd4c92a307eba32a83f1c85493d2955227fa4d50ca9aef691fb7f1c29615bc155246c2746f450a8e9f4b09ff08821f057bdc5cabbf14cfbd7d7f6a47a80f10a54a61f654ea3c354b0fdc69a3168f96d5644b517cfa103cb53837959f87c1d73a4839cfb623c3c3c2f06e441dcb62ed115f2edf9eab40b279bf940a653a10ca6f849155eee04f5de5b8777"
+    {
+      "radix": 16,
+      "value": "ebd1837c29ff1a847f9609caec4fc620f1c733e5455c682f753bc797839f3dc5a6892b8edee447739a4fb30071e9711a3979bb2076d8d86e8b66084a965b97826d1a8e1ea2bd27c68c4d9df9c08c0e2cbd5c2f6f7a7ef1cdc5e6514f139d57183c5d4e0ebe74a9b508e4d3f0c1049027a8a8c4751e2189627675b43ad73beb2377ae9d24efd24a859d79d180ef48cee0bf0ebdd4a6f917c5cba09bb02ab57ce8bc1708e82e2fd151b5cfa9ef7eda616e2fb0fa9a32a77372ad7b2fe383b97247"
+    },
+    {
+      "radix": 16,
+      "value": "ed7db61c39411a860599f9f14f9f23b517df32baa67c68f73a91d03f6f8ae4d462dbb1ecc3c1e0cd1e1d842333ca869423ea94e944894a834e48896fa8305252b7600103c5bc3ae1d85d8527e0d8188fe64c2f140189cac855b629797d9517df1ae583df0cf69da2dd6d9b2aaa034e2932f0f7fc3dfee1f240a7d8091f77b9509c05420320f0921a3287a1ff51cb121866cc2555126bd6fdc7e7db16a3f275d477694c0a8a39780a69850a486199c4cf09495e276d73f15b0f80c171f18cc64f"
+    },
+    {
+      "radix": 16,
+      "value": "8b64924c4de1607d8daab3d287f9263d486a6af4d6ed0737211b007f1a2c9336cdc747f997990e59f48947f648cc178a04763cd9158caf2f3ba10fd7de302de960d2421efe77cb0b90831167617794eb381c9bc819e28e2b89b6fc28f9ab1e6241888b8c3f35e87d96afee0c01a9a64eb3cce4e10d3990b36af6e57dd7ca1b25fb236433a809db1791eb723b3af43da7c55654c379974960d7d5d59003c6a77cd5dddf143bdf08e79fd43abe1ecdd5666460ccb499fcaa1d9d73f3d485946f33"
+    },
+    {
+      "radix": 16,
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+    },
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+      "value": "d24bf151e585dea49966659ad063caa8ce04d2ac4d1e8eb4d947f9c3542c9064c2ff0b58b6dc8b59e147243fc06d7034cd0b90fd8cd973278ac31acc5ff5c7ad3a36836bd3c63b42bd2a969d203ecd260cf1fec535a113252f1490992bf72f1a49bacb9b03ff2afcbf4effb52cb696a2d2258352e6473c282ea68869d7a5d9e8c057f4f56b9fbe9970a23afbbe6221952c2f47d1edd3827b66f38ac8299fd1a65b0dafab2e3d778571aa5c47eb83c7c99ffb97b39ff98c7afd22be958b7cccc7"
+    },
+    {
+      "radix": 16,
+      "value": "9108f35196f7ef72789b451e61ee64adafaac76f075d12255b2b5faa302551c896aaa5b05e47ad0b8a0377d4fcef013b405f270cfee1cfb250fb86c6bf551dc0d748b5614d1a69ddd4932f7d46ffb6f4a247aa48088c2c8054c5b69f9c070ee52bffa0863dffec371b4cc6441ae3e7f6c0f89ab4528e477be496c4323d2dcad81c60184d763f141779badc773a6518a807be3b955883dd6f9b34c1c07e21418de18311b036d43d1caf8fd6b6156e832b5b128402c7aa7c7fa88725dab2a56f0b"
+    },
+    {
+      "radix": 16,
+      "value": "8239f1e8531e8b35a9ad74e7816d17db45d1efac2753cadb5ad0d623bb3b9e60ab550327effddd420b769a30ba44f587785c7c062b6dca67b316494ee93d8018bf5816cc31d117ab5e8923f414ed5ca8faabef7761b017ad5dc062e3a91918f0a7988d08047811ad933da72f36166f2920134d60ccef10d83f31e2af7632da32867252f8780d07c086644f59c350132369f8886e97cad938c89d6bfc2826a3681e4245c8d46d649e75b096ca0b44dcdba4a32a696f33e2a5c3e1072a0d7be9ff"
+    },
+    {
+      "radix": 16,
+      "value": "ec53f0920555fbb9dde0ae12f54e8a3542eb3a19ae956e5fdb59611591ae339bbe01528c3de84c1f740c9d7816acdff0eb8d4569495898caae24dd086882ea6668f22fb733903df01d4497fb11cc16845c2a581531969768fe05b662b7afa66bbb3837a27322e16030f4abd89298fa8edb8a690bfb932a3df64862600c52fe410590289bcf085f89cf3ab3e2bd6b4844a61d7c78363684f117b829601c204d994211f99e0e1a0c7128581ab34cc0edc3f41b1695caeebf1ad171c705a169fb5f"
+    },
+    {
+      "radix": 16,
+      "value": "c944f27ead0061fe7f39a7becb48ea5cc10acd3da9acba5a6388ffb2f7400a72e2a85de79c16270d290588055ed6a29207b176a1d2daf5767c263096ad534c0ad976587c40ac0abaeb8585164129432f494a436e19d35da19477985925fb4f67453fc4f8372a09709b1f47c11da0058f01bc447b78d1ed6578a040bc5aa65599729d23a675831e1923ba30a3ca4e09eb7d81b384d154bc164bc1cba31554fa6ef6a07a9c0082f13096f5463d5aac4b1f566674dd756c9a75a22b8c42a5f8b2e7"
+    },
+    {
+      "radix": 16,
+      "value": "84f3cff9d0490baeda54b799c1362fe3a6641ebb529e919e12be2d1da4d93b4d8b818a73a13773e4cd7a9ee960ae4fd3c04cbe1cf37142d8e47a51f0958d4f33c47c433bf96efa895f98f45dcb12a06d8862d1b323589a21004848a3dcb92bbf0e83aebe9e5a0471ee28e8201c4f4f97417e363111b7a37cef263b04683efcfe4661cdfe91424e4f8d9517cf3f2280fe71e2bbcf2ec02997ccd311f8d480e986bf8c2ebf2428db650a6d8e4eff27abaf4e692d76c0d8f9f330007678121468b7"
+    },
+    {
+      "radix": 16,
+      "value": "cc73246ae768a3805ef4bf022a7704acfafd44b33cc98f86559cc1e299ada37a7408f7656a03dc25edae73d49350fc6fec23568a17c018c21a37b093faba7a569d6f91aaa96084c7a72401f9ee2e1aa06bd068dc9a10cd5c72c46aef7cd9ce01b870cad54bd38964cbe44a124b967abfaf377ed3143785351ddd4affbb55d1ff78683b70d049b7e635afb74b4b067a2cf96f8b3b79ed640a493832acc6d36418c34edcdb2fb92b93dbb702d9bb5836392adf065e9bc557381f319352b68c3abf"
+    },
+    {
+      "radix": 16,
+      "value": "fa34ed3eaa8948721066e8ff4462b3d38aedc8c1a74ee2cbe30c08d3c940fc88de6ee86bc1df2855170378aa8da5b44c185f40a55307469ff27a17ca2de5c0d33bff3ab6f1a5eb2575aa8ed7efd40300067e2822eba9202c693da9797723b304897a4f884115d64b95286ca473c65ae6c2a6c59db3acb731c8fbfeadee65463db4b106b22e4d429d18851d6371b07622f6f3ba796e855a79b12c5807493e590d4d8a11b5e0cc62281c9a52bfadfb1a18e9c1530b6b71f0e2faea1f35ca29f017"
+    },
+    {
+      "radix": 16,
+      "value": "81d2d9582fe27c192ed1522c0f0d9c4a0b39468cfb6438830d241869cf00aca061603f74a1c774da1585cf4654ed0ddf03706fef9ceeaebdbcddfc4e4dbb14094772fb972dd025399d77866a49a543eb1049d0dc100dc64ab2095a3cc5987546cb19de104d697bea8fcb2ddfe904f8f22dd53cd07556ec2953ed3dcf8f8036a80cfbf5866575295e6bad97145462fc9dea83fea3be59e124669d6bfb8a70406cf00986886c02db1e3d7bb7d4e15dabceb4bdf8dcb28610bfc3f715b7ec2a5af7"
+    },
+    {
+      "radix": 16,
+      "value": "9e79b54dee1afca60e97edd874d2de1962c4f1a85a40c836f22260c73465831beb0de7b2672a45e4578d10d10f21acda8fd7c28999f5c44391fff4d6503ac8a6aeb1654c83bd422988156321ffafdeb0a7066b2d10f9a008692b39a6e462408b0102d2f018c7d76643779ad0da06ac6867b7c9da709c299aff41181b0a71d38e694922cbc35ea94999ca93c1fefe7d41048a102c0d6e8fbbd3791b108f841c552af6c25c8f25380927e12d7bd1da99cae0422c457882dbea1f6f463f5f2bf363"
+    },
+    {
+      "radix": 16,
+      "value": "8fb9b460b5dfe443cada7515f665f58cf76d3103d20c17a9e3a2f384e8e2adc5f42ae9539f63ee4590260a1f48627cd395674d724ffbef39389841b0623cde9a9986ecf16d192c4060bd542027182c38fcbc7f236905d9cc8fb891cb4be367e3cf7749014a95b399ea9cc98416cfb6d3cf390cf320084e6c6dd810db1eb648cf427850d9431347134ff7ce22736039bb01d8f20ef9e65cbb12906800b5c35192ab6280f0892085227b28d3a9f6eaded2085bb4330f42dc73fa687dac1c3d65c7"
+    },
+    {
+      "radix": 16,
+      "value": "9363afd77d10dd4c80200bfde1bd5d4409bc0ca6bf9320ec2e43c48191e1c5cf47704a67c2e2e331275ba4e3f1a93c1caa597cd1f793d747329780b53bd35c816a41774847033d5386b42396e5d3b71bb66444bee4b6491abd46fb6c95077c7a5261252f0b8e9ee36d7d4bdd0a9ec69e0a73316dd9d659b6f58ac4e7561e7e1dd5d998c843c4fdb5fbd3a2a55759d2082e72bdf15442907c94864152e7957131da9e794d34f171ed308cf09a789032c6fab7498b3af4a438b57a81b153abbd0f"
+    },
+    {
+      "radix": 16,
+      "value": "ad64e178ade7f95e3886212513e3727f29eb97c4f134fea19eb4efafce45334040d210ae61f12f1596ad6bd79fcc5a9616cbce3707db25002fc0267a329f9ec85580169100be7e9ff6ef1af1605c9f61588f5aa336c021ecf5cfdc529a89b70bbe3052236a79c3287db9e7afed40ce6efa744ab69340ff62418c502d571e296396af0b8dee994e0b21cdfaaaab12d5a852793e582ebcb801d8e58993eb9396534e0aaa46b3e900e08d4ff8e80552016040406f2430a08cb1bc4f161545c49387"
+    },
+    {
+      "radix": 16,
+      "value": "944a3dbdb884f4227070e3d38349edce0a897dca6595a25f67185519b405b6281bcb40a60ff122cd1c69195db2297af06be6edd68f1015294d7903fcd63dd5ea9bf9e977245b10768b8ec9deb4b0b61cf3aa622e9df7b00eecaca3ddb5d3c824f569ae3f3e62bdc14dd23cb60d327556a4cf0295ee36c8e3b0393e409c290777e72e4d37ce69af9cfc25317a401127b146219c919090a69afc70cfaa1dd612b8a979b18c622b0baf267610759cd0162ed5ab492604d30a88a4a53c1ea81bef43"
+    },
+    {
+      "radix": 16,
+      "value": "91155a9a04c21003fe2835141612a06ebbfc7feea8306e53fc21b858557efb9b1e395a50b3dde8362d1cb7766dfa03825043c0c231a1dbf66f5deec5031f2154481cd63d161caa8d48a4f2612df529e027d1a7f875c72bccd34edb68203af66b09e79340133ca25170416b23520e10fc6f115bb5632ec894316ec088ab99efadcded8fcd29b5e87ec8eefad5f830c264614c2b5c7f4e06610597a599d993558e69a9e200651d0f371d2515790499ad414aa93bb8a506201371edcaa9c4400bbb"
+    },
+    {
+      "radix": 16,
+      "value": "aa83ee41ae68548ff88bebedd2690e05a4fe81ec1176e4be225300be31653bdd8a1dafc4693eabd72badad0b893364e585c628c7bda67fcdde53237a64f514b388982695cbb0fc5a99dfc47c1d76d884714af5ee8f17ff87b2875584760a96ec3b9c0aded01d2a7618cf4fea4d1eeff75bb1fd97f2a35496f6ee56bb0599fc6cc58ede48bccbf3625b73b1c581d63f6e02a95117026b4c1d5cdfc3ace350734510e5c02e2988aa6e65174d97e2213e9c452fcbeacc83f04075181ad0dbffe087"
+    }
   ],
   "bitsize": 1536
 }
diff --git a/tests/src/bin/precompute_shares.rs b/tests/src/bin/precompute_shares.rs
index f62fff2..c55a62b 100644
--- a/tests/src/bin/precompute_shares.rs
+++ b/tests/src/bin/precompute_shares.rs
@@ -1,7 +1,8 @@
 use anyhow::{Context, Result};
+use cggmp21::security_level::SecurityLevel;
 use cggmp21::supported_curves::{Secp256k1, Secp256r1};
 use cggmp21::{security_level::ReasonablySecure, trusted_dealer};
-use cggmp21_tests::{PrecomputedKeyShares, PregeneratedPrimes};
+use cggmp21_tests::{generate_blum_prime, PrecomputedKeyShares, PregeneratedPrimes};
 use generic_ec::{hash_to_curve::FromHash, Curve, Scalar};
 use rand::{rngs::OsRng, CryptoRng, RngCore};
 
@@ -63,8 +64,16 @@ where
             .filter(|t| t.map(|t| t <= n).unwrap_or(true))
         {
             eprintln!("t={t:?},n={n},curve={}", E::CURVE_NAME);
+            let primes = std::iter::repeat_with(|| {
+                let p = generate_blum_prime(rng, ReasonablySecure::SECURITY_BITS * 4);
+                let q = generate_blum_prime(rng, ReasonablySecure::SECURITY_BITS * 4);
+                (p, q)
+            })
+            .take(n.into())
+            .collect();
             let shares = trusted_dealer::builder::<E, ReasonablySecure>(n)
                 .set_threshold(t)
+                .set_pregenerated_primes(primes)
                 .generate_shares(rng)
                 .context("generate shares")?;
             cache.add_shares(t, n, &shares).context("add shares")?;
diff --git a/tests/src/lib.rs b/tests/src/lib.rs
index b3bbab6..b1fdec0 100644
--- a/tests/src/lib.rs
+++ b/tests/src/lib.rs
@@ -104,14 +104,36 @@ impl PregeneratedPrimes {
         L: cggmp21::security_level::SecurityLevel,
         R: RngCore,
     {
+        let bitsize = 4 * L::SECURITY_BITS;
         let primes = (0..amount)
             .flat_map(|_| {
-                let (p, q) = cggmp21::key_refresh::PregeneratedPrimes::<L>::generate(rng).split();
+                let p = generate_blum_prime(rng, bitsize);
+                let q = generate_blum_prime(rng, bitsize);
                 [p, q]
             })
             .collect();
-        let bitsize = 4 * L::SECURITY_BITS;
 
         Self { primes, bitsize }
     }
 }
+
+/// Generates a blum prime
+///
+/// CGGMP21 requires using safe primes, however blum primes do not break correctness of the protocol
+/// and they can be generated faster.
+///
+/// Only to be used in the tests.
+pub fn generate_blum_prime(rng: &mut impl rand::RngCore, bits_size: u32) -> Integer {
+    loop {
+        let mut n: Integer = Integer::random_bits(
+            bits_size,
+            &mut cggmp21::fast_paillier::utils::external_rand(rng),
+        )
+        .into();
+        n.set_bit(bits_size - 1, true);
+        n.next_prime_mut();
+        if n.mod_u(4) == 3 {
+            break n;
+        }
+    }
+}

From 80211c25e9ba96db49e4d932889d4f5ae554f689 Mon Sep 17 00:00:00 2001
From: Denis Varlakov <cordial.egg6523@fastmail.com>
Date: Thu, 31 Aug 2023 11:05:01 +0000
Subject: [PATCH 3/6] Update `pailler-zk`

---
 Cargo.lock                                 | 1 +
 Cargo.toml                                 | 3 ---
 cggmp21/src/key_refresh/aux_only.rs        | 2 +-
 cggmp21/src/key_refresh/non_threshold.rs   | 2 +-
 cggmp21/src/signing.rs                     | 4 ++--
 cggmp21/src/trusted_dealer.rs              | 4 ++--
 cggmp21/src/zk/ring_pedersen_parameters.rs | 4 ++--
 7 files changed, 9 insertions(+), 11 deletions(-)

diff --git a/Cargo.lock b/Cargo.lock
index fb32645..1b9d114 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -861,6 +861,7 @@ dependencies = [
 [[package]]
 name = "paillier-zk"
 version = "0.1.0"
+source = "git+https://github.com/dfns-labs/paillier-zk?branch=m#e003d4fb38b776eead6822cef1126f7053dc409f"
 dependencies = [
  "digest",
  "fast-paillier",
diff --git a/Cargo.toml b/Cargo.toml
index 45b9184..f6c4613 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -3,6 +3,3 @@ members = [
     "cggmp21",
     "tests",
 ]
-
-[patch."https://github.com/dfns-labs/paillier-zk".paillier-zk]
-path = "../paillier-zk"
diff --git a/cggmp21/src/key_refresh/aux_only.rs b/cggmp21/src/key_refresh/aux_only.rs
index 6be24b5..fcf72c0 100644
--- a/cggmp21/src/key_refresh/aux_only.rs
+++ b/cggmp21/src/key_refresh/aux_only.rs
@@ -133,7 +133,7 @@ where
     let phi_N = (&p - 1u8).complete() * (&q - 1u8).complete();
 
     tracer.stage("Generate auxiliary params r, λ, t, s");
-    let r = Integer::gen_inversible(&N, rng);
+    let r = Integer::gen_invertible(&N, rng);
     let lambda = phi_N
         .random_below_ref(&mut utils::external_rand(rng))
         .into();
diff --git a/cggmp21/src/key_refresh/non_threshold.rs b/cggmp21/src/key_refresh/non_threshold.rs
index 53711c4..1a3d45e 100644
--- a/cggmp21/src/key_refresh/non_threshold.rs
+++ b/cggmp21/src/key_refresh/non_threshold.rs
@@ -180,7 +180,7 @@ where
         .collect::<Vec<_>>();
 
     tracer.stage("Generate auxiliary params r, λ, t, s");
-    let r = Integer::gen_inversible(&N, rng);
+    let r = Integer::gen_invertible(&N, rng);
     let lambda = phi_N
         .random_below_ref(&mut utils::external_rand(rng))
         .into();
diff --git a/cggmp21/src/signing.rs b/cggmp21/src/signing.rs
index 8986035..02ef77b 100644
--- a/cggmp21/src/signing.rs
+++ b/cggmp21/src/signing.rs
@@ -502,8 +502,8 @@ where
     let gamma_i = SecretScalar::<E>::random(rng);
     let k_i = SecretScalar::<E>::random(rng);
 
-    let v_i = Integer::gen_inversible(N_i, rng);
-    let rho_i = Integer::gen_inversible(N_i, rng);
+    let v_i = Integer::gen_invertible(N_i, rng);
+    let rho_i = Integer::gen_invertible(N_i, rng);
 
     tracer.stage("Encrypt G_i and K_i");
     let G_i = enc_i
diff --git a/cggmp21/src/trusted_dealer.rs b/cggmp21/src/trusted_dealer.rs
index 870e46f..7c554d3 100644
--- a/cggmp21/src/trusted_dealer.rs
+++ b/cggmp21/src/trusted_dealer.rs
@@ -223,7 +223,7 @@ pub fn generate_aux_data<L: SecurityLevel, R: RngCore + CryptoRng>(
 
             let φ_N = (p - 1u8).complete() * (q - 1u8).complete();
 
-            let r = Integer::gen_inversible(&N, rng);
+            let r = Integer::gen_invertible(&N, rng);
             let λ = φ_N.random_below_ref(&mut utils::external_rand(rng)).into();
 
             let t = r.square().modulo(&N);
@@ -263,7 +263,7 @@ pub fn generate_aux_data_with_primes<L: SecurityLevel, R: RngCore + CryptoRng>(
 
             let φ_N = (p - 1u8).complete() * (q - 1u8).complete();
 
-            let r = Integer::gen_inversible(&N, rng);
+            let r = Integer::gen_invertible(&N, rng);
             let λ = φ_N.random_below_ref(&mut utils::external_rand(rng)).into();
 
             let t = r.square().modulo(&N);
diff --git a/cggmp21/src/zk/ring_pedersen_parameters.rs b/cggmp21/src/zk/ring_pedersen_parameters.rs
index 4355a8a..0729dde 100644
--- a/cggmp21/src/zk/ring_pedersen_parameters.rs
+++ b/cggmp21/src/zk/ring_pedersen_parameters.rs
@@ -172,7 +172,7 @@ mod test {
         let n = (&p * &q).complete();
         let phi = (&p - 1u8).complete() * (&q - 1u8).complete();
 
-        let r = Integer::gen_inversible(&n, &mut rng);
+        let r = Integer::gen_invertible(&n, &mut rng);
         let lambda = phi
             .random_below_ref(&mut utils::external_rand(&mut rng))
             .into();
@@ -200,7 +200,7 @@ mod test {
         let n = (&p * &q).complete();
         let phi = (&p - 1u8).complete() * (&q - 1u8).complete();
 
-        let r = Integer::gen_inversible(&n, &mut rng);
+        let r = Integer::gen_invertible(&n, &mut rng);
         let lambda = phi
             .random_below_ref(&mut utils::external_rand(&mut rng))
             .into();

From ee125d5fecd4cb244dfb537fafc575dfc2c1f9a8 Mon Sep 17 00:00:00 2001
From: Denis Varlakov <cordial.egg6523@fastmail.com>
Date: Thu, 31 Aug 2023 11:14:25 +0000
Subject: [PATCH 4/6] Add CI secret

---
 .github/workflows/deps.yml | 1 +
 .github/workflows/rust.yml | 1 +
 2 files changed, 2 insertions(+)

diff --git a/.github/workflows/deps.yml b/.github/workflows/deps.yml
index d6c68e6..ac37a4c 100644
--- a/.github/workflows/deps.yml
+++ b/.github/workflows/deps.yml
@@ -21,6 +21,7 @@ jobs:
         ssh-private-key: |
           ${{ secrets.GENERIC_EC_KEY }}
           ${{ secrets.PAILLIER_ZK_KEY }}
+          ${{ secrets.FAST_PAILLIER_KEY }}
     - uses: actions/checkout@v3
       with:
         path: base_branch
diff --git a/.github/workflows/rust.yml b/.github/workflows/rust.yml
index 0b76212..2b1dcb2 100644
--- a/.github/workflows/rust.yml
+++ b/.github/workflows/rust.yml
@@ -25,6 +25,7 @@ jobs:
         ssh-private-key: |
           ${{ secrets.GENERIC_EC_KEY }}
           ${{ secrets.PAILLIER_ZK_KEY }}
+          ${{ secrets.FAST_PAILLIER_KEY }}
     - name: Build
       run: cargo build --release
     - uses: actions/upload-artifact@v3

From 6be5c5d861207ad71ac76d9375912bdb1f66b06e Mon Sep 17 00:00:00 2001
From: Denis Varlakov <cordial.egg6523@fastmail.com>
Date: Fri, 1 Sep 2023 10:14:58 +0000
Subject: [PATCH 5/6] Add non constant time warning

---
 README.md          | 6 ++++++
 cggmp21/src/lib.rs | 6 ++++++
 2 files changed, 12 insertions(+)

diff --git a/README.md b/README.md
index 8eeb45a..d30822d 100644
--- a/README.md
+++ b/README.md
@@ -151,3 +151,9 @@ they are all documented in [the spec].
 [CGGMP21]: https://ia.cr/2021/060
 [the spec]: https://github.com/dfns-labs/cggmp21/tree/m/docs/spec.pdf
 [security guidelines]: #security-guidelines
+
+## Timing attacks
+Timing attacks are type of side-channel attacks that leak sensitive information through duration of
+execution. We consider timing attacks out of scope as they are nearly impossible to perform for such
+complicated protcol as CGGMP21 and impossible to do in our specific deployment. Thus, we intentionally
+don't do constant-time operations which gives us a significant performance boost.
diff --git a/cggmp21/src/lib.rs b/cggmp21/src/lib.rs
index b12f83d..3e8020f 100644
--- a/cggmp21/src/lib.rs
+++ b/cggmp21/src/lib.rs
@@ -194,6 +194,12 @@
 //! [CGGMP21]: https://ia.cr/2021/060
 //! [the spec]: https://github.com/dfns-labs/cggmp21/tree/m/docs/spec.pdf
 //! [security guidelines]: #security-guidelines
+//!
+//! ## Timing attacks
+//! Timing attacks are type of side-channel attacks that leak sensitive information through duration of
+//! execution. We consider timing attacks out of scope as they are nearly impossible to perform for such
+//! complicated protcol as CGGMP21 and impossible to do in our specific deployment. Thus, we intentionally
+//! don't do constant-time operations which gives us a significant performance boost.
 
 #![allow(
     non_snake_case,

From 645e66962f7775af6d3ff02893c2a1282a4c3365 Mon Sep 17 00:00:00 2001
From: Denis Varlakov <cordial.egg6523@fastmail.com>
Date: Fri, 1 Sep 2023 10:44:03 +0000
Subject: [PATCH 6/6] Mention `spof` feature in readme

---
 README.md          | 10 ++++++++++
 cggmp21/src/lib.rs | 10 ++++++++++
 2 files changed, 20 insertions(+)

diff --git a/README.md b/README.md
index d30822d..5dbc580 100644
--- a/README.md
+++ b/README.md
@@ -138,6 +138,16 @@ Alternatively, you can generate presignature and use it to sign data:
 **Never reuse presignatures!** If you use the same presignature to sign two different messages,
 it leaks private key to anyone who can observe the signatures.
 
+## SPOF code: Key Import and Export
+CGGMP21 protocol is designed to avoid Single Point of Failure by guaranteeing that attacker would
+need to compromise threshold amount of nodes to obtain a secret key. However, some use-cases may
+require you to create a SPOF, for instance, importing an existing key into TSS and exporting key
+from TSS.
+
+Such use-cases contradict to nature of MPC so we don't include those primitives by default.
+However, you may opt for them by enabling `spof` feature, then you can use `trusted_dealer`
+for key import and `key_share::reconstruct_secret_key` for key export.
+
 ## Implementation vs CGGMP21 paper differences
 Original CGGMP21 paper only defines non-threshold (n-out-of-n) protocol. To support threshold
 (t-out-of-n) signing, we defined our own CGGMP21-like key generation and threshold signing
diff --git a/cggmp21/src/lib.rs b/cggmp21/src/lib.rs
index 3e8020f..5140786 100644
--- a/cggmp21/src/lib.rs
+++ b/cggmp21/src/lib.rs
@@ -181,6 +181,16 @@
 //! **Never reuse presignatures!** If you use the same presignature to sign two different messages,
 //! it leaks private key to anyone who can observe the signatures.
 //!
+//! ## SPOF code: Key Import and Export
+//! CGGMP21 protocol is designed to avoid Single Point of Failure by guaranteeing that attacker would
+//! need to compromise threshold amount of nodes to obtain a secret key. However, some use-cases may
+//! require you to create a SPOF, for instance, importing an existing key into TSS and exporting key
+//! from TSS.
+//!
+//! Such use-cases contradict to nature of MPC so we don't include those primitives by default.
+//! However, you may opt for them by enabling `spof` feature, then you can use [`trusted_dealer`]
+//! for key import and [`key_share::reconstruct_secret_key`] for key export.
+//!
 //! ## Implementation vs CGGMP21 paper differences
 //! Original CGGMP21 paper only defines non-threshold (n-out-of-n) protocol. To support threshold
 //! (t-out-of-n) signing, we defined our own CGGMP21-like key generation and threshold signing