diff --git a/Adamant.xcodeproj/project.pbxproj b/Adamant.xcodeproj/project.pbxproj index 6ff5739da..32cb3112a 100644 --- a/Adamant.xcodeproj/project.pbxproj +++ b/Adamant.xcodeproj/project.pbxproj @@ -3,7 +3,7 @@ archiveVersion = 1; classes = { }; - objectVersion = 52; + objectVersion = 54; objects = { /* Begin PBXBuildFile section */ @@ -3695,7 +3695,7 @@ "$(inherited)", "@executable_path/Frameworks", ); - MARKETING_VERSION = 3.3.0; + MARKETING_VERSION = 3.3.1; PRODUCT_BUNDLE_IDENTIFIER = "im.adamant.adamant-messenger-dev"; PRODUCT_NAME = "$(TARGET_NAME)"; PROVISIONING_PROFILE_SPECIFIER = ""; @@ -3726,7 +3726,7 @@ "$(inherited)", "@executable_path/Frameworks", ); - MARKETING_VERSION = 3.3.0; + MARKETING_VERSION = 3.3.1; PRODUCT_BUNDLE_IDENTIFIER = "im.adamant.adamant-messenger"; PRODUCT_NAME = "$(TARGET_NAME)"; PROVISIONING_PROFILE_SPECIFIER = ""; diff --git a/Adamant/Modules/Wallets/Adamant/AdmWalletService+DynamicConstants.swift b/Adamant/Modules/Wallets/Adamant/AdmWalletService+DynamicConstants.swift index a98528bcb..9f4a75576 100644 --- a/Adamant/Modules/Wallets/Adamant/AdmWalletService+DynamicConstants.swift +++ b/Adamant/Modules/Wallets/Adamant/AdmWalletService+DynamicConstants.swift @@ -46,7 +46,7 @@ extension AdmWalletService { } var minNodeVersion: String? { - "0.7.0" + "0.8.0" } static let explorerAddress = "https://explorer.adamant.im/tx/" @@ -62,8 +62,9 @@ Node(url: URL(string: "https://debate.adamant.im")!, altUrl: URL(string: "http:/ Node(url: URL(string: "http://78.47.205.206:36666")!), Node(url: URL(string: "http://5.161.53.74:36666")!), Node(url: URL(string: "http://184.94.215.92:45555")!), -Node(url: URL(string: "https://node1.adamant.business")!), +Node(url: URL(string: "https://node1.adamant.business")!, altUrl: URL(string: "http://194.233.75.29:45555")), Node(url: URL(string: "https://node2.blockchain2fa.io")!), +Node(url: URL(string: "https://sunshine.adamant.im")!), ] } diff --git a/Adamant/Modules/Wallets/Bitcoin/BtcTransferViewController.swift b/Adamant/Modules/Wallets/Bitcoin/BtcTransferViewController.swift index 349c38c95..bbc0c865d 100644 --- a/Adamant/Modules/Wallets/Bitcoin/BtcTransferViewController.swift +++ b/Adamant/Modules/Wallets/Bitcoin/BtcTransferViewController.swift @@ -47,7 +47,11 @@ final class BtcTransferViewController: TransferViewControllerBase { Task { do { - let transaction = try await service.createTransaction(recipient: recipient, amount: amount) + let transaction = try await service.createTransaction( + recipient: recipient, + amount: amount, + fee: transactionFee + ) // Send adm report if let reportRecipient = admReportRecipient, diff --git a/Adamant/Modules/Wallets/Bitcoin/BtcWalletService+Send.swift b/Adamant/Modules/Wallets/Bitcoin/BtcWalletService+Send.swift index e9b30cfe0..2e2278f8d 100644 --- a/Adamant/Modules/Wallets/Bitcoin/BtcWalletService+Send.swift +++ b/Adamant/Modules/Wallets/Bitcoin/BtcWalletService+Send.swift @@ -14,7 +14,7 @@ extension BtcWalletService: WalletServiceTwoStepSend { typealias T = BitcoinKit.Transaction // MARK: Create & Send - func createTransaction(recipient: String, amount: Decimal) async throws -> BitcoinKit.Transaction { + func createTransaction(recipient: String, amount: Decimal, fee: Decimal) async throws -> BitcoinKit.Transaction { // MARK: 1. Prepare guard let wallet = self.btcWallet else { throw WalletServiceError.notLogged @@ -27,7 +27,7 @@ extension BtcWalletService: WalletServiceTwoStepSend { } let rawAmount = NSDecimalNumber(decimal: amount * BtcWalletService.multiplier).uint64Value - let fee = NSDecimalNumber(decimal: self.transactionFee * BtcWalletService.multiplier).uint64Value + let fee = NSDecimalNumber(decimal: fee * BtcWalletService.multiplier).uint64Value // MARK: 2. Search for unspent transactions diff --git a/Adamant/Modules/Wallets/Dash/DashTransferViewController.swift b/Adamant/Modules/Wallets/Dash/DashTransferViewController.swift index dbfd4a865..879a951cf 100644 --- a/Adamant/Modules/Wallets/Dash/DashTransferViewController.swift +++ b/Adamant/Modules/Wallets/Dash/DashTransferViewController.swift @@ -49,7 +49,11 @@ final class DashTransferViewController: TransferViewControllerBase { Task { do { // Create transaction - let transaction = try await service.createTransaction(recipient: recipient, amount: amount) + let transaction = try await service.createTransaction( + recipient: recipient, + amount: amount, + fee: transactionFee + ) // Send adm report if let reportRecipient = admReportRecipient, diff --git a/Adamant/Modules/Wallets/Dash/DashWalletService+DynamicConstants.swift b/Adamant/Modules/Wallets/Dash/DashWalletService+DynamicConstants.swift index 964917edc..6e3f810ea 100644 --- a/Adamant/Modules/Wallets/Dash/DashWalletService+DynamicConstants.swift +++ b/Adamant/Modules/Wallets/Dash/DashWalletService+DynamicConstants.swift @@ -61,7 +61,8 @@ extension DashWalletService { static var nodes: [Node] { [ - Node(url: URL(string: "https://dashnode1.adamant.im")!), + Node(url: URL(string: "https://dashnode1.adamant.im")!, altUrl: URL(string: "http://45.85.147.224:44099")), +Node(url: URL(string: "https://dashnode2.adamant.im")!, altUrl: URL(string: "http://207.180.210.95:44099")), ] } diff --git a/Adamant/Modules/Wallets/Dash/DashWalletService+Send.swift b/Adamant/Modules/Wallets/Dash/DashWalletService+Send.swift index 2551c52d5..e246bb2c8 100644 --- a/Adamant/Modules/Wallets/Dash/DashWalletService+Send.swift +++ b/Adamant/Modules/Wallets/Dash/DashWalletService+Send.swift @@ -16,7 +16,11 @@ extension DashWalletService: WalletServiceTwoStepSend { // MARK: Create & Send func create(recipient: String, amount: Decimal) async throws -> BitcoinKit.Transaction { guard let lastTransaction = self.lastTransactionId else { - return try await createTransaction(recipient: recipient, amount: amount) + return try await createTransaction( + recipient: recipient, + amount: amount, + fee: transactionFee + ) } let transaction = try await getTransaction(by: lastTransaction) @@ -27,10 +31,18 @@ extension DashWalletService: WalletServiceTwoStepSend { throw WalletServiceError.remoteServiceError(message: "WAIT_FOR_COMPLETION", error: nil) } - return try await createTransaction(recipient: recipient, amount: amount) + return try await createTransaction( + recipient: recipient, + amount: amount, + fee: transactionFee + ) } - func createTransaction(recipient: String, amount: Decimal) async throws -> BitcoinKit.Transaction { + func createTransaction( + recipient: String, + amount: Decimal, + fee: Decimal + ) async throws -> BitcoinKit.Transaction { // MARK: 1. Prepare guard let wallet = self.dashWallet else { throw WalletServiceError.notLogged @@ -43,7 +55,7 @@ extension DashWalletService: WalletServiceTwoStepSend { } let rawAmount = NSDecimalNumber(decimal: amount * DashWalletService.multiplier).uint64Value - let fee = NSDecimalNumber(decimal: self.transactionFee * DashWalletService.multiplier).uint64Value + let fee = NSDecimalNumber(decimal: fee * DashWalletService.multiplier).uint64Value // MARK: 2. Search for unspent transactions diff --git a/Adamant/Modules/Wallets/Doge/DogeTransferViewController.swift b/Adamant/Modules/Wallets/Doge/DogeTransferViewController.swift index 7f5483130..15a1997e5 100644 --- a/Adamant/Modules/Wallets/Doge/DogeTransferViewController.swift +++ b/Adamant/Modules/Wallets/Doge/DogeTransferViewController.swift @@ -40,7 +40,11 @@ final class DogeTransferViewController: TransferViewControllerBase { Task { do { // Create transaction - let transaction = try await service.createTransaction(recipient: recipient, amount: amount) + let transaction = try await service.createTransaction( + recipient: recipient, + amount: amount, + fee: transactionFee + ) // Send adm report if let reportRecipient = admReportRecipient, diff --git a/Adamant/Modules/Wallets/Doge/DogeWalletService+DynamicConstants.swift b/Adamant/Modules/Wallets/Doge/DogeWalletService+DynamicConstants.swift index 95ab74a36..82c7e1028 100644 --- a/Adamant/Modules/Wallets/Doge/DogeWalletService+DynamicConstants.swift +++ b/Adamant/Modules/Wallets/Doge/DogeWalletService+DynamicConstants.swift @@ -61,7 +61,7 @@ extension DogeWalletService { static var nodes: [Node] { [ - Node(url: URL(string: "https://dogenode1.adamant.im")!), + Node(url: URL(string: "https://dogenode1.adamant.im")!, altUrl: URL(string: "http://5.9.99.62:44099")), Node(url: URL(string: "https://dogenode2.adamant.im")!, altUrl: URL(string: "http://176.9.32.126:44098")), ] } diff --git a/Adamant/Modules/Wallets/Doge/DogeWalletService+Send.swift b/Adamant/Modules/Wallets/Doge/DogeWalletService+Send.swift index a089708b3..8bd783837 100644 --- a/Adamant/Modules/Wallets/Doge/DogeWalletService+Send.swift +++ b/Adamant/Modules/Wallets/Doge/DogeWalletService+Send.swift @@ -21,7 +21,11 @@ extension DogeWalletService: WalletServiceTwoStepSend { typealias T = BitcoinKit.Transaction // MARK: Create & Send - func createTransaction(recipient: String, amount: Decimal) async throws -> BitcoinKit.Transaction { + func createTransaction( + recipient: String, + amount: Decimal, + fee: Decimal + ) async throws -> BitcoinKit.Transaction { // Prepare guard let wallet = self.dogeWallet else { throw WalletServiceError.notLogged @@ -34,7 +38,7 @@ extension DogeWalletService: WalletServiceTwoStepSend { } let rawAmount = NSDecimalNumber(decimal: amount * DogeWalletService.multiplier).uint64Value - let fee = NSDecimalNumber(decimal: self.transactionFee * DogeWalletService.multiplier).uint64Value + let fee = NSDecimalNumber(decimal: fee * DogeWalletService.multiplier).uint64Value // Search for unspent transactions do { diff --git a/Adamant/Modules/Wallets/ERC20/ERC20TransferViewController.swift b/Adamant/Modules/Wallets/ERC20/ERC20TransferViewController.swift index be309cf36..158339e7a 100644 --- a/Adamant/Modules/Wallets/ERC20/ERC20TransferViewController.swift +++ b/Adamant/Modules/Wallets/ERC20/ERC20TransferViewController.swift @@ -44,7 +44,11 @@ final class ERC20TransferViewController: TransferViewControllerBase { Task { do { // Create transaction - let transaction = try await service.createTransaction(recipient: recipient, amount: amount) + let transaction = try await service.createTransaction( + recipient: recipient, + amount: amount, + fee: transactionFee + ) guard let txHash = transaction.txHash else { throw WalletServiceError.internalError( diff --git a/Adamant/Modules/Wallets/ERC20/ERC20WalletService+Send.swift b/Adamant/Modules/Wallets/ERC20/ERC20WalletService+Send.swift index 270aec647..bdd294084 100644 --- a/Adamant/Modules/Wallets/ERC20/ERC20WalletService+Send.swift +++ b/Adamant/Modules/Wallets/ERC20/ERC20WalletService+Send.swift @@ -16,7 +16,11 @@ extension ERC20WalletService: WalletServiceTwoStepSend { typealias T = CodableTransaction // MARK: Create & Send - func createTransaction(recipient: String, amount: Decimal) async throws -> CodableTransaction { + func createTransaction( + recipient: String, + amount: Decimal, + fee: Decimal + ) async throws -> CodableTransaction { guard let ethWallet = ethWallet else { throw WalletServiceError.notLogged } diff --git a/Adamant/Modules/Wallets/Ethereum/EthTransferViewController.swift b/Adamant/Modules/Wallets/Ethereum/EthTransferViewController.swift index 9bae31980..603acf038 100644 --- a/Adamant/Modules/Wallets/Ethereum/EthTransferViewController.swift +++ b/Adamant/Modules/Wallets/Ethereum/EthTransferViewController.swift @@ -38,7 +38,11 @@ final class EthTransferViewController: TransferViewControllerBase { Task { do { // Create transaction - let transaction = try await service.createTransaction(recipient: recipient, amount: amount) + let transaction = try await service.createTransaction( + recipient: recipient, + amount: amount, + fee: transactionFee + ) guard let txHash = transaction.txHash else { throw WalletServiceError.internalError( diff --git a/Adamant/Modules/Wallets/Ethereum/EthWalletService+Send.swift b/Adamant/Modules/Wallets/Ethereum/EthWalletService+Send.swift index f843009cd..440c0168d 100644 --- a/Adamant/Modules/Wallets/Ethereum/EthWalletService+Send.swift +++ b/Adamant/Modules/Wallets/Ethereum/EthWalletService+Send.swift @@ -22,7 +22,11 @@ extension CodableTransaction: RawTransaction { extension EthWalletService: WalletServiceTwoStepSend { typealias T = CodableTransaction - func createTransaction(recipient: String, amount: Decimal) async throws -> CodableTransaction { + func createTransaction( + recipient: String, + amount: Decimal, + fee: Decimal + ) async throws -> CodableTransaction { try await ethApiService.requestWeb3 { [weak self] web3 in guard let self = self else { throw WalletServiceError.internalError(.unknownError) } return try await createTransaction(recipient: recipient, amount: amount, web3: web3) diff --git a/Adamant/Modules/Wallets/Lisk/LskApiCore.swift b/Adamant/Modules/Wallets/Lisk/LskApiCore.swift index b2e7e7c7a..9780cfc92 100644 --- a/Adamant/Modules/Wallets/Lisk/LskApiCore.swift +++ b/Adamant/Modules/Wallets/Lisk/LskApiCore.swift @@ -33,19 +33,32 @@ class LskApiCore: BlockchainHealthCheckableService { } } + func request( + node: CommonKit.Node, + _ body: @Sendable @escaping (APIClient) async throws -> Output + ) async -> WalletServiceResult { + let client = makeClient(node: node) + + do { + return .success(try await body(client)) + } catch { + return .failure(mapError(error)) + } + } + func getStatusInfo(node: CommonKit.Node) async -> WalletServiceResult { let startTimestamp = Date.now.timeIntervalSince1970 - return await request(node: node) { client, completion in - LiskKit.Node(client: client).info { completion($0) } + return await request(node: node) { client in + try await LiskKit.Node(client: client).info() }.map { model in - .init( - ping: Date.now.timeIntervalSince1970 - startTimestamp, - height: model.data.height ?? .zero, - wsEnabled: false, - wsPort: nil, - version: nil - ) + .init( + ping: Date.now.timeIntervalSince1970 - startTimestamp, + height: model.height ?? .zero, + wsEnabled: false, + wsPort: nil, + version: nil + ) } } } @@ -69,3 +82,11 @@ private func mapError(_ error: APIError) -> WalletServiceError { return .remoteServiceError(message: error.message, error: error) } } + +private func mapError(_ error: Error) -> WalletServiceError { + if let error = error as? APIError { + return mapError(error) + } + + return .remoteServiceError(message: error.localizedDescription, error: error) +} diff --git a/Adamant/Modules/Wallets/Lisk/LskNodeApiService.swift b/Adamant/Modules/Wallets/Lisk/LskNodeApiService.swift index cc0993cc4..e76ba7521 100644 --- a/Adamant/Modules/Wallets/Lisk/LskNodeApiService.swift +++ b/Adamant/Modules/Wallets/Lisk/LskNodeApiService.swift @@ -36,24 +36,18 @@ final class LskNodeApiService: WalletApiService { } func requestTransactionsApi( - body: @escaping @Sendable ( - _ api: Transactions, - _ completion: @escaping @Sendable (LiskKit.Result) -> Void - ) -> Void + _ request: @Sendable @escaping (Transactions) async throws -> Output ) async -> WalletServiceResult { - await requestClient { client, completion in - body(.init(client: client), completion) + await requestClient { client in + try await request(Transactions(client: client)) } } func requestAccountsApi( - body: @escaping @Sendable ( - _ api: Accounts, - _ completion: @escaping @Sendable (LiskKit.Result) -> Void - ) -> Void + _ request: @Sendable @escaping (Accounts) async throws -> Output ) async -> WalletServiceResult { - await requestClient { client, completion in - body(.init(client: client), completion) + await requestClient { client in + try await request(Accounts(client: client)) } } @@ -75,4 +69,12 @@ private extension LskNodeApiService { await core.request(node: node, body: body) } } + + func requestClient( + _ body: @Sendable @escaping (APIClient) async throws -> Output + ) async -> WalletServiceResult { + await api.request { core, node in + await core.request(node: node, body) + } + } } diff --git a/Adamant/Modules/Wallets/Lisk/LskServiceApiService.swift b/Adamant/Modules/Wallets/Lisk/LskServiceApiService.swift index b272d3416..5a5248c21 100644 --- a/Adamant/Modules/Wallets/Lisk/LskServiceApiService.swift +++ b/Adamant/Modules/Wallets/Lisk/LskServiceApiService.swift @@ -52,7 +52,15 @@ final class LskServiceApiService: WalletApiService { ) -> Void ) async -> WalletServiceResult { await requestClient { client, completion in - body(.init(client: client, version: .v2), completion) + body(.init(client: client, version: .v3), completion) + } + } + + func requestServiceApi( + _ request: @Sendable @escaping (LiskKit.Service) async throws -> Output + ) async -> WalletServiceResult { + await requestClient { client in + try await request(LiskKit.Service(client: client, version: .v3)) } } } @@ -68,4 +76,12 @@ private extension LskServiceApiService { await core.request(node: node, body: body) } } + + func requestClient( + _ body: @Sendable @escaping (APIClient) async throws -> Output + ) async -> WalletServiceResult { + await api.request { core, node in + await core.request(node: node, body) + } + } } diff --git a/Adamant/Modules/Wallets/Lisk/LskTransactionsViewController.swift b/Adamant/Modules/Wallets/Lisk/LskTransactionsViewController.swift index b9848906a..99384080e 100644 --- a/Adamant/Modules/Wallets/Lisk/LskTransactionsViewController.swift +++ b/Adamant/Modules/Wallets/Lisk/LskTransactionsViewController.swift @@ -179,12 +179,8 @@ extension TransactionEntity: TransactionDetails { return id } - var senderAddress: String { - return LiskKit.Crypto.getBase32Address(from: senderPublicKey) - } - var recipientAddress: String { - return self.asset.recipientAddressBase32 + recipientAddressBase32 } var dateValue: Date? { @@ -192,7 +188,7 @@ extension TransactionEntity: TransactionDetails { } var amountValue: Decimal? { - let value = BigUInt(self.asset.amount) + let value = BigUInt(self.params.amount) return value.asDecimal(exponent: LskWalletService.currencyExponent) } diff --git a/Adamant/Modules/Wallets/Lisk/LskTransferViewController.swift b/Adamant/Modules/Wallets/Lisk/LskTransferViewController.swift index 891438077..abf093895 100644 --- a/Adamant/Modules/Wallets/Lisk/LskTransferViewController.swift +++ b/Adamant/Modules/Wallets/Lisk/LskTransferViewController.swift @@ -34,6 +34,27 @@ final class LskTransferViewController: TransferViewControllerBase { private let prefix = "lsk" + override func checkForAdditionalFee() { + Task { + guard let recipientAddress = recipientAddress, + let service = service, + validateRecipient(recipientAddress).isValid + else { + addAdditionalFee = false + return + } + + let exist = try await service.isExist(address: recipientAddress) + + guard !exist else { + addAdditionalFee = false + return + } + + addAdditionalFee = true + } + } + // MARK: Send @MainActor @@ -54,7 +75,11 @@ final class LskTransferViewController: TransferViewControllerBase { Task { do { // Create transaction - let transaction = try await service.createTransaction(recipient: recipient, amount: amount) + let transaction = try await service.createTransaction( + recipient: recipient, + amount: amount, + fee: transactionFee + ) // Send adm report if let reportRecipient = admReportRecipient { @@ -105,8 +130,6 @@ final class LskTransferViewController: TransferViewControllerBase { comments: String ) { let detailsVc = screensFactory.makeDetailsVC(service: service) - var transaction: TransactionEntity = transaction - transaction.id = transactionId detailsVc.transaction = transaction detailsVc.senderName = String.adamant.transactionDetails.yourAddress detailsVc.recipientName = recipientName @@ -176,6 +199,8 @@ final class LskTransferViewController: TransferViewControllerBase { separatedBy: TransferViewControllerBase.invalidCharacters ).joined() + self?.checkForAdditionalFee() + guard self?.recipientIsReadonly == false else { return } cell.textField.leftView?.subviews.forEach { view in diff --git a/Adamant/Modules/Wallets/Lisk/LskWallet.swift b/Adamant/Modules/Wallets/Lisk/LskWallet.swift index f4bfa7afd..4eb1fe9c5 100644 --- a/Adamant/Modules/Wallets/Lisk/LskWallet.swift +++ b/Adamant/Modules/Wallets/Lisk/LskWallet.swift @@ -25,17 +25,17 @@ final class LskWallet: WalletAccount { var balance: Decimal = 0.0 var notifications: Int = 0 var isNewApi: Bool = true - var nounce: String + var nonce: UInt64 var minBalance: Decimal = 0.05 var minAmount: Decimal = 0 var isBalanceInitialized: Bool = false - init(address: String, keyPair: KeyPair, nounce: String, isNewApi: Bool) { + init(address: String, keyPair: KeyPair, nonce: UInt64, isNewApi: Bool) { self.legacyAddress = address self.keyPair = keyPair self.lisk32Address = LiskKit.Crypto.getBase32Address(from: keyPair.publicKeyString) self.isNewApi = isNewApi - self.nounce = nounce + self.nonce = nonce } } diff --git a/Adamant/Modules/Wallets/Lisk/LskWalletService+DynamicConstants.swift b/Adamant/Modules/Wallets/Lisk/LskWalletService+DynamicConstants.swift index 8d84376d7..036e8cd55 100644 --- a/Adamant/Modules/Wallets/Lisk/LskWalletService+DynamicConstants.swift +++ b/Adamant/Modules/Wallets/Lisk/LskWalletService+DynamicConstants.swift @@ -4,7 +4,7 @@ import CommonKit extension LskWalletService { // MARK: - Constants - static let fixedFee: Decimal = 0.00142 + static let fixedFee: Decimal = 0.00164 static let currencySymbol = "LSK" static let currencyExponent: Int = -8 static let qqPrefix: String = "lisk" @@ -61,15 +61,13 @@ extension LskWalletService { static var nodes: [Node] { [ - Node(url: URL(string: "https://lisknode3.adamant.im")!), -Node(url: URL(string: "https://lisknode4.adamant.im")!), + Node(url: URL(string: "https://lisknode5.adamant.im")!, altUrl: URL(string: "http://38.242.243.29:44099")), ] } static var serviceNodes: [Node] { [ - Node(url: URL(string: "https://liskservice3.adamant.im")!), -Node(url: URL(string: "https://liskservice4.adamant.im")!), + Node(url: URL(string: "https://liskservice5.adamant.im")!), ] } } diff --git a/Adamant/Modules/Wallets/Lisk/LskWalletService+Send.swift b/Adamant/Modules/Wallets/Lisk/LskWalletService+Send.swift index 7e8ba319a..d2d2f0e40 100644 --- a/Adamant/Modules/Wallets/Lisk/LskWalletService+Send.swift +++ b/Adamant/Modules/Wallets/Lisk/LskWalletService+Send.swift @@ -26,7 +26,11 @@ extension LskWalletService: WalletServiceTwoStepSend { typealias T = TransactionEntity // MARK: Create & Send - func createTransaction(recipient: String, amount: Decimal) async throws -> TransactionEntity { + func createTransaction( + recipient: String, + amount: Decimal, + fee: Decimal + ) async throws -> TransactionEntity { // MARK: 1. Prepare guard let wallet = lskWallet, let binaryAddress = LiskKit.Crypto.getBinaryAddressFromBase32(recipient) else { throw WalletServiceError.notLogged @@ -36,23 +40,21 @@ extension LskWalletService: WalletServiceTwoStepSend { // MARK: 2. Create local transaction - let transaction = TransactionEntity( + let transaction = TransactionEntity().createTx( amount: amount, - fee: self.transactionFee, - nonce: wallet.nounce, + fee: fee, + nonce: wallet.nonce, senderPublicKey: wallet.keyPair.publicKeyString, - recipientAddressBase32: recipient, recipientAddressBinary: binaryAddress ) - var signedTransaction = transaction.signed(with: keys, for: self.netHash) - signedTransaction.id = signedTransaction.bytes().sha256().hexString() + let signedTransaction = transaction.sign(with: keys, for: Constants.chainID) return signedTransaction } func sendTransaction(_ transaction: TransactionEntity) async throws { - _ = try await lskNodeApiService.requestTransactionsApi { api, completion in - api.submit(signedTransaction: transaction.requestOptions, completionHandler: completion) + _ = try await lskNodeApiService.requestTransactionsApi { api in + try await api.submit(transaction: transaction) }.get() } } diff --git a/Adamant/Modules/Wallets/Lisk/LskWalletService.swift b/Adamant/Modules/Wallets/Lisk/LskWalletService.swift index 48be5c4e9..d686babb3 100644 --- a/Adamant/Modules/Wallets/Lisk/LskWalletService.swift +++ b/Adamant/Modules/Wallets/Lisk/LskWalletService.swift @@ -81,6 +81,10 @@ final class LskWalletService: WalletService { return Self.qqPrefix } + var additionalFee: Decimal { + 0.05 + } + // MARK: - Properties let transferAvailable: Bool = true let netHash = Constants.Nethash.main @@ -200,6 +204,10 @@ final class LskWalletService: WalletService { setState(.updating) + if let nonce = try? await getNonce(address: wallet.address) { + wallet.nonce = nonce + } + if let result = try? await getFees() { self.lastHeight = result.lastHeight self.transactionFeeRaw = result.fee > LskWalletService.defaultFee @@ -265,26 +273,46 @@ final class LskWalletService: WalletService { throw WalletServiceError.notLogged } - let value = try await lskServiceApiService.requestServiceApi { api, completion in - api.getFees(completionHandler: completion) + let minFeePerByte = try await lskNodeApiService.requestAccountsApi { api in + try await api.getFees().minFeePerByte }.get() - let tempTransaction = TransactionEntity( + let tempTransaction = TransactionEntity().createTx( amount: 100000000.0, fee: 0.00141, - nonce: wallet.nounce, + nonce: wallet.nonce, senderPublicKey: wallet.keyPair.publicKeyString, - recipientAddressBase32: wallet.address, recipientAddressBinary: wallet.binaryAddress - ).signed( + ).sign( with: wallet.keyPair, - for: self.netHash + for: Constants.chainID ) - let feeValue = tempTransaction.getFee(with: value.data.minFeePerByte) + let feeValue = tempTransaction.getFee(with: minFeePerByte) let fee = BigUInt(feeValue) - return (fee: fee, lastHeight: value.meta.lastBlockHeight) + let lastBlock = try await lskNodeApiService.requestAccountsApi { api in + try await api.lastBlock() + }.get() + + let height = UInt64(lastBlock.header.height) + + return (fee: fee, lastHeight: height) + } + + func isExist(address: String) async throws -> Bool { + try await lskServiceApiService.requestServiceApi { api in + try await withUnsafeThrowingContinuation { continuation in + api.exist(address: address) { result in + switch result { + case .success(let response): + continuation.resume(returning: response.data.isExists) + case .error(let error): + continuation.resume(throwing: error) + } + } + } + }.get() } } @@ -309,7 +337,12 @@ extension LskWalletService: InitiatedWithPassphraseService { let address = LiskKit.Crypto.address(fromPublicKey: keyPair.publicKeyString) // MARK: 3. Update - let wallet = LskWallet(address: address, keyPair: keyPair, nounce: "", isNewApi: true) + let wallet = LskWallet( + address: address, + keyPair: keyPair, + nonce: .zero, + isNewApi: true + ) self.lskWallet = wallet NotificationCenter.default.post( @@ -439,32 +472,27 @@ extension LskWalletService { } func getBalance(address: String) async throws -> Decimal { - guard let address = LiskKit.Crypto.getBinaryAddressFromBase32(address) else { - throw WalletServiceError.notLogged - } - - let result = await lskNodeApiService.requestAccountsApi { api, completion in - api.accounts(address: address, completionHandler: completion) + let result = await lskNodeApiService.requestAccountsApi { api in + let balanceRaw = try await api.balance(address: address) + let balance = BigUInt(balanceRaw?.availableBalance ?? "0") ?? .zero + return balance } switch result { - case let .success(response): - if lskWallet?.binaryAddress == address { - lskWallet?.nounce = response.data.nonce - } - - let balance = BigUInt(response.data.balance ?? "0") ?? BigUInt(0) + case let .success(balance): return balance.asDecimal(exponent: LskWalletService.currencyExponent) case let .failure(error): - guard - case let .remoteServiceError(_, lskError) = error, - let lskError = lskError as? APIError, - [404, 500].contains(lskError.code) - else { throw error } - - return .zero + throw error } } + + func getNonce(address: String) async throws -> UInt64 { + let nonce = try await lskNodeApiService.requestAccountsApi { api in + try await api.nonce(address: address) + }.get() + + return UInt64(nonce) ?? .zero + } func handleAccountSuccess(with balance: String?, completion: @escaping (WalletServiceResult) -> Void) { let balance = BigUInt(balance ?? "0") ?? BigUInt(0) diff --git a/Adamant/Modules/Wallets/TransferViewControllerBase.swift b/Adamant/Modules/Wallets/TransferViewControllerBase.swift index 35552c5ee..3a3f3aa2d 100644 --- a/Adamant/Modules/Wallets/TransferViewControllerBase.swift +++ b/Adamant/Modules/Wallets/TransferViewControllerBase.swift @@ -189,6 +189,20 @@ class TransferViewControllerBase: FormViewController { weak var delegate: TransferViewControllerDelegate? + var addAdditionalFee = false { + didSet { + updateFeeCell() + } + } + + var transactionFee: Decimal { + let baseFee = service?.transactionFee ?? .zero + let additionalyFee = service?.additionalFee ?? .zero + return addAdditionalFee + ? baseFee + additionalyFee + : baseFee + } + var recipientAddress: String? { set { if let row: RowOf = form.rowBy(tag: BaseRows.address.tag) { @@ -232,7 +246,7 @@ class TransferViewControllerBase: FormViewController { } let fee = isNeedAddFee - ? service.transactionFee + ? transactionFee : 0 let max = balance - fee - service.minBalance @@ -416,6 +430,12 @@ class TransferViewControllerBase: FormViewController { tableView.backgroundColor = .clear } + private func updateFeeCell() { + let row: DoubleDetailsRow? = form.rowBy(tag: BaseRows.fee.tag) + row?.value = getCellFeeValue() + row?.updateCell() + } + // MARK: - Form constructors func walletSection() -> Section { @@ -521,7 +541,7 @@ class TransferViewControllerBase: FormViewController { } if let row: SafeDecimalRow = form.rowBy(tag: BaseRows.maxToTransfer.tag) { - markRow(row, valid: wallet.balance > service.transactionFee) + markRow(row, valid: wallet.balance > transactionFee) } if let row: SafeDecimalRow = form.rowBy(tag: BaseRows.amount.tag) { @@ -572,7 +592,7 @@ class TransferViewControllerBase: FormViewController { if let row: SafeDecimalRow = form.rowBy(tag: BaseRows.total.tag) { if let amount = amount { row.value = isNeedAddFee - ? (amount + service.transactionFee).doubleValue + ? (amount + transactionFee).doubleValue : amount.doubleValue row.updateCell() markRow(row, valid: validateAmount(amount)) @@ -772,7 +792,7 @@ class TransferViewControllerBase: FormViewController { return false } - let total = withFee ? amount + service.transactionFee : amount + let total = withFee ? amount + transactionFee : amount return balance >= total } @@ -781,7 +801,7 @@ class TransferViewControllerBase: FormViewController { guard let service = service, let wallet = service.wallet, - wallet.balance > service.transactionFee + wallet.balance > transactionFee else { return false } @@ -801,7 +821,7 @@ class TransferViewControllerBase: FormViewController { func isEnoughFee() -> Bool { guard let service = service, let wallet = service.wallet, - wallet.balance > service.transactionFee, + wallet.balance > transactionFee, service.isTransactionFeeValid else { return false @@ -909,6 +929,8 @@ class TransferViewControllerBase: FormViewController { func validateRecipient(_ address: String) -> AddressValidationResult { fatalError("You must implement recipient addres validation logic") } + + func checkForAdditionalFee() { } } // MARK: - Default rows @@ -1104,7 +1126,7 @@ extension TransferViewControllerBase { return DoubleDetail(first: "0", second: nil) } - let fee = service.diplayTransactionFee + let fee = transactionFee let isWarningGasPrice = service.isWarningGasPrice var fiat: Double = 0.0 diff --git a/Adamant/Modules/Wallets/WalletService.swift b/Adamant/Modules/Wallets/WalletService.swift index 45ef7f05e..fb23ef8fd 100644 --- a/Adamant/Modules/Wallets/WalletService.swift +++ b/Adamant/Modules/Wallets/WalletService.swift @@ -284,6 +284,11 @@ protocol WalletService: AnyObject { func loadTransactions(offset: Int, limit: Int) async throws -> Int func getLocalTransactionHistory() -> [TransactionDetails] func updateStatus(for id: String, status: TransactionStatus?) + func isExist(address: String) async throws -> Bool +} + +extension WalletService { + func isExist(address: String) async throws -> Bool { return true } } protocol SwinjectDependentService: WalletService { @@ -313,6 +318,7 @@ protocol WalletServiceWithSend: WalletService { var isSupportIncreaseFee: Bool { get } var isIncreaseFeeEnabled: Bool { get } var defaultIncreaseFee: Decimal { get } + var additionalFee : Decimal { get } } extension WalletServiceWithSend { @@ -340,6 +346,9 @@ extension WalletServiceWithSend { var defaultIncreaseFee: Decimal { return 1.5 } + var additionalFee: Decimal { + .zero + } } protocol WalletServiceSimpleSend: WalletServiceWithSend { @@ -354,7 +363,12 @@ protocol WalletServiceSimpleSend: WalletServiceWithSend { protocol WalletServiceTwoStepSend: WalletServiceWithSend { associatedtype T: RawTransaction - func createTransaction(recipient: String, amount: Decimal) async throws -> T + func createTransaction( + recipient: String, + amount: Decimal, + fee: Decimal + ) async throws -> T + func sendTransaction(_ transaction: T) async throws } diff --git a/CommonKit/Sources/CommonKit/AdamantDynamicResources.swift b/CommonKit/Sources/CommonKit/AdamantDynamicResources.swift index a77ac3571..08da8dadf 100644 --- a/CommonKit/Sources/CommonKit/AdamantDynamicResources.swift +++ b/CommonKit/Sources/CommonKit/AdamantDynamicResources.swift @@ -13,9 +13,10 @@ Node(url: URL(string: "https://debate.adamant.im")!, altUrl: URL(string: "http:/ Node(url: URL(string: "http://78.47.205.206:36666")!), Node(url: URL(string: "http://5.161.53.74:36666")!), Node(url: URL(string: "http://184.94.215.92:45555")!), -Node(url: URL(string: "https://node1.adamant.business")!), +Node(url: URL(string: "https://node1.adamant.business")!, altUrl: URL(string: "http://194.233.75.29:45555")), Node(url: URL(string: "https://node2.blockchain2fa.io")!), +Node(url: URL(string: "https://sunshine.adamant.im")!), ] } -} +} \ No newline at end of file diff --git a/LiskKit/Package.swift b/LiskKit/Package.swift index 7a503f4a9..ea99ca695 100644 --- a/LiskKit/Package.swift +++ b/LiskKit/Package.swift @@ -1,4 +1,4 @@ -// swift-tools-version:5.3 +// swift-tools-version:5.5 // The swift-tools-version declares the minimum version of Swift required to build this package. import PackageDescription @@ -6,7 +6,7 @@ import PackageDescription let package = Package( name: "LiskKit", platforms: [ - .iOS(.v12), + .iOS(.v15), .macOS(.v10_12) ], products: [ @@ -16,14 +16,16 @@ let package = Package( ], dependencies: [ .package(name: "Sodium", url: "https://github.com/jedisct1/swift-sodium.git", from: "0.9.1"), - .package(url: "https://github.com/krzyzanowskim/CryptoSwift.git", from: "1.3.0") + .package(url: "https://github.com/krzyzanowskim/CryptoSwift.git", from: "1.3.0"), + .package(url: "https://github.com/apple/swift-protobuf.git", from: "1.6.0") ], targets: [ .target( name: "LiskKit", dependencies: [ .product(name: "Clibsodium", package: "Sodium"), - "CryptoSwift" + "CryptoSwift", + .product(name: "SwiftProtobuf", package: "swift-protobuf") ], path: "Sources" ), diff --git a/LiskKit/Sources/API/Accounts/Accounts.swift b/LiskKit/Sources/API/Accounts/Accounts.swift index 10cbb403d..dda7a243b 100644 --- a/LiskKit/Sources/API/Accounts/Accounts.swift +++ b/LiskKit/Sources/API/Accounts/Accounts.swift @@ -42,4 +42,31 @@ extension Accounts { public func accounts(address: String, completionHandler: @escaping (Response) -> Void) { client.get(path: "accounts/\(address)", options: nil, completionHandler: completionHandler) } + + public func balance(address: String) async throws -> Balance? { + let balances: BalancesResponse = try await client.request( + method: "token_getBalances", + params: ["address": address] + ) + return balances.balances.first(where: { $0.tokenID == Constants.tokenID }) + } + + public func nonce(address: String) async throws -> String { + let data: AuthAccount = try await client.request( + method: "auth_getAuthAccount", + params: ["address": address] + ) + return data.nonce + } + + public func lastBlock() async throws -> Block { + try await client.request( + method: "chain_getLastBlock", + params: [:] + ) + } + + public func getFees() async throws -> ServiceFeeModel { + try await client.request(method: "fee_getMinFeePerByte", params: [:]) + } } diff --git a/LiskKit/Sources/API/Accounts/AuthAccount.swift b/LiskKit/Sources/API/Accounts/AuthAccount.swift new file mode 100644 index 000000000..056e060e0 --- /dev/null +++ b/LiskKit/Sources/API/Accounts/AuthAccount.swift @@ -0,0 +1,21 @@ +// +// AuthAccount.swift +// +// +// Created by Stanislav Jelezoglo on 18.12.2023. +// + +import Foundation + +public struct AuthAccount: Decodable { + public let nonce: String +} + +/* + { + "nonce": "0", + "numberOfSignatures": 0, + "mandatoryKeys": [], + "optionalKeys": [] + } + */ diff --git a/LiskKit/Sources/API/Accounts/Balance.swift b/LiskKit/Sources/API/Accounts/Balance.swift new file mode 100644 index 000000000..e067db881 --- /dev/null +++ b/LiskKit/Sources/API/Accounts/Balance.swift @@ -0,0 +1,29 @@ +// +// File.swift +// +// +// Created by Stanislav Jelezoglo on 18.12.2023. +// + +import Foundation + +public struct Balance: Decodable { + public let tokenID: String + public let availableBalance: String +} + +struct BalancesResponse: Decodable { + let balances: [Balance] +} + +/* + { + "balances": [ + { + "tokenID": "0200000000000000", + "availableBalance": "1000000000", + "lockedBalances": [] + } + ] + } + */ diff --git a/LiskKit/Sources/API/Accounts/Block.swift b/LiskKit/Sources/API/Accounts/Block.swift new file mode 100644 index 000000000..a0505c901 --- /dev/null +++ b/LiskKit/Sources/API/Accounts/Block.swift @@ -0,0 +1,62 @@ +// +// File.swift +// +// +// Created by Stanislav Jelezoglo on 18.12.2023. +// + +import Foundation + +public struct Block: Decodable { + public let header: Header +} + +public struct Header: Decodable { + public let version: Int + public let timestamp: Int + public let height: Int + public let previousBlockID: String + public let stateRoot: String + public let assetRoot: String + public let eventRoot: String + public let transactionRoot: String + public let validatorsHash: String + public let generatorAddress: String + public let maxHeightPrevoted: Int + public let maxHeightGenerated: Int + public let signature: String + public let id: String +} + +/* + { + "header": { + "version": 2, + "timestamp": 1660665257, + "height": 5557, + "previousBlockID": "0b3805615011809f00d5fb2c3242674ffdf29a689937427c0b647f7acd8a7a24", + "stateRoot": "abb3d47a904d2d2671331fc015960d58eda504255ac5249b33af46e8e5a0c4f2", + "assetRoot": "9a1b203ef3a32c41ed18a04ee9d9fb6cda4b9ade88dd85e7dd74e072c25d3381", + "eventRoot": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855", + "transactionRoot": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855", + "validatorsHash": "ad0076aa444f6cda608bb163c3bd77d9bf172f1d2803d53095bc0f277db6bcb3", + "aggregateCommit": { + "height": 5405, + "aggregationBits": "", + "certificateSignature": "" + }, + "generatorAddress": "635bbf383c03b2e986521c2d725e9f71dd651054", + "maxHeightPrevoted": 5489, + "maxHeightGenerated": 5401, + "signature": "45d8a977127d09923d336ce7e60151ff74b8b299f91f5760610c5ce16fa88c44a4c8fd1e651ea443f82ae460a110f7bb0e7f9eccbe5dc8f5d29268a308bcdc06", + "id": "6c4734053d0c9822db98c857946a07b980c684a05b33536cb6cf069e861c26e7" + }, + "transactions": [], + "assets": [ + { + "moduleID": "0000000f", + "data": "0a10c6a94fa0d336c0fe57d37098222ff2e3" + } + ] + } + */ diff --git a/LiskKit/Sources/API/Node/Node.swift b/LiskKit/Sources/API/Node/Node.swift index 19a8d3d81..aec52e3c0 100644 --- a/LiskKit/Sources/API/Node/Node.swift +++ b/LiskKit/Sources/API/Node/Node.swift @@ -33,11 +33,7 @@ extension Node { extension Node { /// Retrieve the status of a Lisk Node - public func status(completionHandler: @escaping (Response) -> Void) { - client.get(path: "node/status", completionHandler: completionHandler) - } - - public func info(completionHandler: @escaping (Response) -> Void) { - client.get(path: "node/info", completionHandler: completionHandler) + public func info() async throws -> NodeInfoModel { + try await client.request(method: "system_getNodeInfo", params: [:]) } } diff --git a/LiskKit/Sources/API/Service/Models/ExistModel.swift b/LiskKit/Sources/API/Service/Models/ExistModel.swift new file mode 100644 index 000000000..86c0540eb --- /dev/null +++ b/LiskKit/Sources/API/Service/Models/ExistModel.swift @@ -0,0 +1,16 @@ +// +// ExistModel.swift +// +// +// Created by Stanislav Jelezoglo on 19.12.2023. +// + +import Foundation + +public struct ExistModel: APIResponse { + public struct ExistData: Decodable { + public let isExists: Bool + } + + public let data: ExistData +} diff --git a/LiskKit/Sources/API/Service/Models/ServiceTransactionModel.swift b/LiskKit/Sources/API/Service/Models/ServiceTransactionModel.swift index d07bb16bb..e7b0cb0f5 100644 --- a/LiskKit/Sources/API/Service/Models/ServiceTransactionModel.swift +++ b/LiskKit/Sources/API/Service/Models/ServiceTransactionModel.swift @@ -7,6 +7,23 @@ import Foundation +public enum ExecutionStatus: String, Decodable { + case pending + case successful + case failed + case unknown + + public init(from decoder: Decoder) throws { + let container = try decoder.singleValueContainer() + if let rawValue = try? container.decode(String.self), + let status = ExecutionStatus(rawValue: rawValue) { + self = status + } else { + self = .unknown + } + } +} + public struct ServiceTransactionModel: APIModel { public var blockId: String? { @@ -29,8 +46,8 @@ public struct ServiceTransactionModel: APIModel { return sender.address } - public var recipientId: String? { - return asset.recipient.address + public var recipientId: String { + return params.recipientAddress } public var recipientPublicKey: String? { @@ -38,7 +55,7 @@ public struct ServiceTransactionModel: APIModel { } public var amount: String { - return asset.amount + return params.amount } public var signature: String { @@ -49,33 +66,32 @@ public struct ServiceTransactionModel: APIModel { return 0 } + public var height: UInt64? { + block?.height + } + public struct Block: APIModel { public let id: String public let height: UInt64 public let timestamp: UInt32 } - public struct Recipient: APIModel { - public let address: String - } - public struct Sender: APIModel { public let address: String public let publicKey: String } - public struct Asset: APIModel { + public struct Params: APIModel { public let amount: String - public let recipient: Recipient + public let recipientAddress: String } public let id: String public let fee: String - public let height: UInt64? public let block: Block? public let sender: Sender - public let asset: Asset - public let isPending: Bool + public let params: Params + public let executionStatus: ExecutionStatus // MARK: - Hashable diff --git a/LiskKit/Sources/API/Service/Service.swift b/LiskKit/Sources/API/Service/Service.swift index bee73e0ed..350ad8495 100644 --- a/LiskKit/Sources/API/Service/Service.swift +++ b/LiskKit/Sources/API/Service/Service.swift @@ -12,6 +12,7 @@ public struct Service: APIService { public enum Version: String { case v1 = "v1" case v2 = "v2" + case v3 = "api/v3" } /// Client used to send requests @@ -34,9 +35,17 @@ public struct Service: APIService { extension Service { public func getFees(completionHandler: @escaping (Response) -> Void) { - client.get(path: "\(Version.v2.rawValue)/fees", completionHandler: completionHandler) + client.get(path: "\(Version.v3.rawValue)/fees", completionHandler: completionHandler) } + public func exist(address: String, completionHandler: @escaping (Response) -> Void) { + client.get( + path: "\(Version.v3.rawValue)/token/account/exists", + options: ["address": address, "tokenID": Constants.tokenID], + completionHandler: completionHandler + ) + } + /// List transaction objects public func transactions( ownerAddress: String?, @@ -59,7 +68,9 @@ extension Service { completionHandler(.error(response: error)) } } - } else { + return + } + if version == .v2 { transactionsV2(id: id, block: block, sender: sender, recipient: recipient, senderIdOrRecipientId: senderIdOrRecipientId, limit: limit, offset: offset, sort: sort) { result in switch result { case .success(response: let value): @@ -87,6 +98,42 @@ extension Service { } } } + + if version == .v3 { + transactionsV3( + id: id, + block: block, + sender: sender, + recipient: recipient, + senderIdOrRecipientId: senderIdOrRecipientId, + limit: limit, + offset: offset, + sort: sort + ) { result in + switch result { + case .success(response: let value): + let transaction = value.data.map { + Transactions.TransactionModel( + id: $0.id, + height: $0.height, + blockId: $0.blockId, + type: $0.type, + timestamp: $0.timestamp, + senderPublicKey: $0.senderPublicKey, + senderId: $0.senderId, + recipientId: $0.recipientId, + recipientPublicKey: $0.recipientPublicKey, + amount: $0.amount, + fee: $0.fee, + signature: $0.signature, + confirmations: $0.confirmations) + } + completionHandler(.success(response: transaction)) + case .error(response: let error): + completionHandler(.error(response: error)) + } + } + } } private func transactionsV1(id: String? = nil, block: String? = nil, sender: String? = nil, recipient: String? = nil, senderIdOrRecipientId: String? = nil, limit: UInt? = nil, offset: UInt? = nil, sort: APIRequest.Sort? = nil, completionHandler: @escaping (Response) -> Void) { @@ -116,4 +163,28 @@ extension Service { client.get(path: "\(Version.v2.rawValue)/transactions", options: options, completionHandler: completionHandler) } + + private func transactionsV3( + id: String? = nil, + block: String? = nil, + sender: String? = nil, + recipient: String? = nil, + senderIdOrRecipientId: String? = nil, + limit: UInt? = nil, + offset: UInt? = nil, + sort: APIRequest.Sort? = nil, + completionHandler: @escaping (Response) -> Void + ) { + var options: RequestOptions = [:] + if let value = id { options["transactionID"] = value } + if let value = block { options["blockId"] = value } + if let value = limit { options["limit"] = value } + if let value = offset { options["offset"] = value } + if let value = sort?.value { options["sort"] = value } + if let value = sender { options["senderAddress"] = value } + if let value = recipient { options["recipientAddress"] = value } + if let value = senderIdOrRecipientId { options["address"] = value } + + client.get(path: "\(Version.v3.rawValue)/transactions", options: options, completionHandler: completionHandler) + } } diff --git a/LiskKit/Sources/API/Transactions/LocalTransaction.swift b/LiskKit/Sources/API/Transactions/LocalTransaction.swift index 09fd4dad1..173e4468d 100644 --- a/LiskKit/Sources/API/Transactions/LocalTransaction.swift +++ b/LiskKit/Sources/API/Transactions/LocalTransaction.swift @@ -8,239 +8,6 @@ import Foundation import JavaScriptCore -infix operator >>> : BitwiseShiftPrecedence - -func >>> (lhs: Int64, rhs: Int64) -> Int64 { - return Int64(bitPattern: UInt64(bitPattern: lhs) >> UInt64(rhs)) -} - -internal func generateKey(for fieldNumber: UInt32, with wireType: UInt32) -> [UInt8] { - let value = (fieldNumber << 3) | wireType - let hValue = writeUInt32(value) - return hValue //(Data() + hValue).bytes -} - -let msg: UInt8 = 0x80 -let rest: UInt32 = 0x7f - -internal func writeUInt32(_ value: UInt32) -> [UInt8] { - var result = [UInt8]() - var value = value - var index = 0 - while (value > rest) { - result.append(msg | UInt8((Int64((value & rest)) >>> 0))) - value = UInt32((Int64(value) >>> 7) >>> 0) - index += 1 - } - - result.append(UInt8(value)) - return result -} - -internal func writeUInt64(_ value: UInt64) -> [UInt8] { - var result = [UInt8]() - var value = value - var index = 0 - while (value > UInt64(rest)) { - result.append(msg | UInt8((Int64((value & UInt64(rest))) ))) - value = UInt64(Int64(value) >>> 7) - index += 1 - } - - result.append(UInt8(value)) - return result -} - -extension Data { - var bytes: [UInt8] { - let count = self.count / MemoryLayout.size - var byteArray = [UInt8](repeating: 0, count: count) - self.copyBytes(to: &byteArray, count:count) - return byteArray - } -} - -public struct TransactionEntity { - - public struct Asset { - public var amount: UInt64 - public var recipientAddressBase32: String - public var recipientAddressBinary: String - public var data: String = "" - - public func bytes() -> [UInt8] { - var value = Data() - value += generateKey(for: 1, with: 0) - value += writeUInt64(amount) - value += generateKey(for: 2, with: 2) - value += writeUInt32(UInt32(recipientAddressBinary.allHexBytes().count)) - value += recipientAddressBinary.allHexBytes() - value += generateKey(for: 3, with: 2) - value += writeUInt32(UInt32(data.bytes.count)) - if data.count > 0 { - value += data - } - return value.bytes - } - - public var requestOptions: RequestOptions { - let options: RequestOptions = [ - "amount": "\(amount)", - "recipientAddress": recipientAddressBinary, - "data": data - ] - - return options - } - } - public var id: String = "" - public var moduleID: UInt32 = 2 - public var assetID: UInt32 = 0 - public var fee: UInt64 - public var nonce: UInt64 - public var senderPublicKey: String - public var asset: Asset - public var signatures: [String] = [] - - internal init(moduleID: UInt32 = 2, assetID: UInt32 = 0, fee: UInt64 = 0, nonce: UInt64, senderPublicKey: String, asset: TransactionEntity.Asset, signatures: [String] = []) { - self.moduleID = moduleID - self.assetID = assetID - self.fee = fee - self.nonce = nonce - self.senderPublicKey = senderPublicKey - self.asset = asset - self.signatures = signatures - } - - public init( - amount: Decimal, - fee: Decimal, - nonce: String, - senderPublicKey: String, - recipientAddressBase32: String, - recipientAddressBinary: String - ) { - let amount = Crypto.fixedPoint(amount: amount) - let fee = Crypto.fixedPoint(amount: fee) - self.init( - amount: amount, - fee: fee, - nonce: nonce, - senderPublicKey: senderPublicKey, - recipientAddressBase32: recipientAddressBase32, - recipientAddressBinary: recipientAddressBinary - ) - } - - public init( - amount: UInt64, - fee: UInt64, - nonce: String, - senderPublicKey: String, - recipientAddressBase32: String, - recipientAddressBinary: String, - signatures: [String] = [] - ) { - self.fee = fee - self.nonce = UInt64(nonce) ?? 0 - self.senderPublicKey = senderPublicKey - self.asset = .init( - amount: amount, - recipientAddressBase32: recipientAddressBase32, - recipientAddressBinary: recipientAddressBinary - ) - self.signatures = signatures - } - - public func bytes() -> [UInt8] { - var value = Data() - value += generateKey(for: 1, with: 0) - value += writeUInt32(moduleID) - value += generateKey(for: 2, with: 0) - value += writeUInt32(assetID) - value += generateKey(for: 3, with: 0) - value += writeUInt64(nonce) - value += generateKey(for: 4, with: 0) - value += writeUInt64(fee) - - value += generateKey(for: 5, with: 2) - value += writeUInt32(UInt32(senderPublicKey.allHexBytes().count)) - value += senderPublicKey.allHexBytes() - value += generateKey(for: 6, with: 2) - let assetBytes = asset.bytes() - value += writeUInt32(UInt32(assetBytes.count)) - value += assetBytes - - if !signatures.isEmpty { - signatures.forEach { sign in - value += generateKey(for: 7, with: 2) - value += writeUInt32(UInt32(sign.allHexBytes().count)) - value += sign.allHexBytes() - } - } - - return value.bytes - } - - public func signature(with keyPair: KeyPair, for netHash: String) -> String { - let bytesArray = bytes() - let bytes = netHash.allHexBytes() + bytesArray - - let signBytes = keyPair.sign(bytes) - let sign = signBytes.hexString() - return sign - } - - public func signed(with keyPair: KeyPair, for netHash: String) -> TransactionEntity { - return TransactionEntity(fee: fee, - nonce: nonce, - senderPublicKey: senderPublicKey, - asset: asset, - signatures: [signature(with: keyPair, for: netHash)]) - } - - public func getFee(with minFeePerByte: UInt64) -> UInt64 { - let bytesCount = bytes().count - return UInt64(bytesCount) * minFeePerByte - } - - public func updated(with minFeePerByte: UInt64) -> TransactionEntity { - return TransactionEntity(fee: getFee(with: minFeePerByte), - nonce: nonce, - senderPublicKey: senderPublicKey, - asset: asset, - signatures: signatures) - } - - public var requestOptions: RequestOptions { - let options: RequestOptions = [ - "moduleID": moduleID, - "assetID": assetID, - "fee": "\(fee)", - "nonce": "\(nonce)", - "senderPublicKey": senderPublicKey, - "asset": asset.requestOptions, - "signatures": signatures - ] - - return options - } - - public func validate(with netHash: String) -> Bool { - guard let signature = signatures.first else { return false } - - let tagMessagge = "LSK_TX".bytes + netHash.hexBytes() + bytes() - - do { - return try Crypto.verify(message: tagMessagge, signature: signature.hexBytes(), publicKey: senderPublicKey.hexBytes()) - } catch let error { - print(error) - return false - } - } - -} - /// Struct to represent a local transaction with the ability to locally sign via a secret passphrase public struct LocalTransaction { diff --git a/LiskKit/Sources/API/Transactions/TransactionEntity+Extension.swift b/LiskKit/Sources/API/Transactions/TransactionEntity+Extension.swift new file mode 100644 index 000000000..256f46cee --- /dev/null +++ b/LiskKit/Sources/API/Transactions/TransactionEntity+Extension.swift @@ -0,0 +1,103 @@ +// +// TransactionEntity+Extension.swift +// +// +// Created by Stanislav Jelezoglo on 18.12.2023. +// + +import Foundation + +public extension TransactionEntity { + var id: String { + getTxID() ?? "" + } + + var recipientAddressBase32: String { + let bytes = [UInt8](params.recipientAddressBinary) + let binary = bytes.hexString() + return Crypto.getBase32Address(binaryAddress: binary) + } + + var senderAddress: String { + let bytes = [UInt8](senderPublicKey) + let senderPublicKey = bytes.hexString() + return Crypto.getBase32Address(from: senderPublicKey) + } + + func createTx( + amount: Decimal, + fee: Decimal, + nonce: UInt64, + senderPublicKey: String, + recipientAddressBinary: String + ) -> TransactionEntity { + let amount = Crypto.fixedPoint(amount: amount) + let fee = Crypto.fixedPoint(amount: fee) + + return TransactionEntity.with { + $0.command = Constants.command + $0.module = Constants.module + $0.fee = fee + $0.nonce = nonce + $0.senderPublicKey = Data(senderPublicKey.allHexBytes()) + $0.params = TransactionEntity.Params.with { + $0.tokenID = Data(Constants.tokenID.allHexBytes()) + $0.amount = amount + $0.recipientAddressBinary = Data(recipientAddressBinary.allHexBytes()) + $0.data = "" + } + $0.signatures = [] + } + } + + func sign(with keyPair: KeyPair, for chainID: String) -> TransactionEntity { + let signature = signature(with: keyPair, for: chainID) + + return TransactionEntity.with { + $0.command = command + $0.module = module + $0.fee = fee + $0.nonce = nonce + $0.senderPublicKey = senderPublicKey + $0.params = params + $0.signatures = [Data(signature.allHexBytes())] + } + } + + func getTxHash() -> String? { + let bytes = try? serializedData() + return bytes?.hexString() + } + + func getTxID() -> String? { + let bytes = try? serializedData() + return bytes?.sha256().hexString() + } + + func getFee(with minFeePerByte: UInt64) -> UInt64 { + let bytesCount = (try? serializedData().count) ?? .zero + return UInt64(bytesCount) * minFeePerByte + } +} + +private extension TransactionEntity { + func signature(with keyPair: KeyPair, for chainID: String) -> String { + let unsignedBytes = (try? serializedData()) ?? Data() + + guard !unsignedBytes.isEmpty else { + return "" + } + + let tagBytes: [UInt8] = Array("LSK_TX_".utf8) + let chainBytes: [UInt8] = chainID.allHexBytes() + let allBytes = tagBytes + + chainBytes + + unsignedBytes + + let sha = allBytes.sha256() + let signBytes = Ed25519.sign(message: sha, privateKey: keyPair.privateKey) + let sign = signBytes.hexString() + + return sign + } +} diff --git a/LiskKit/Sources/API/Transactions/TransactionEntity.swift b/LiskKit/Sources/API/Transactions/TransactionEntity.swift new file mode 100644 index 000000000..2b5c521e3 --- /dev/null +++ b/LiskKit/Sources/API/Transactions/TransactionEntity.swift @@ -0,0 +1,202 @@ +// +// TransactionEntity.swift +// +// +// Created by Stanislav Jelezoglo on 13.12.2023. +// DO NOT EDIT. +// swift-format-ignore-file +// +// Generated by the Swift generator plugin for the protocol buffer compiler. +// Source: model.proto +// +// For information on using the generated types, please see the documentation: +// https://github.com/apple/swift-protobuf/ + +import Foundation +import SwiftProtobuf + +// If the compiler emits an error on this type, it is because this file +// was generated by a version of the `protoc` Swift plug-in that is +// incompatible with the version of SwiftProtobuf to which you are linking. +// Please ensure that you are building against the same version of the API +// that was used to generate this file. +fileprivate struct _GeneratedWithProtocGenSwiftVersion: SwiftProtobuf.ProtobufAPIVersionCheck { + struct _2: SwiftProtobuf.ProtobufAPIVersion_2 {} + typealias Version = _2 +} + +public struct TransactionEntity { + // SwiftProtobuf.Message conformance is added in an extension below. See the + // `Message` and `Message+*Additions` files in the SwiftProtobuf library for + // methods supported on all messages. + + public var module: String = String() + + public var command: String = String() + + public var nonce: UInt64 = 0 + + public var fee: UInt64 = 0 + + public var senderPublicKey: Data = Data() + + public var params: TransactionEntity.Params { + get {return _params ?? TransactionEntity.Params()} + set {_params = newValue} + } + /// Returns true if `params` has been explicitly set. + var hasParams: Bool {return self._params != nil} + /// Clears the value of `params`. Subsequent reads from it will return its default value. + mutating func clearParams() {self._params = nil} + + public var signatures: [Data] = [] + + public var unknownFields = SwiftProtobuf.UnknownStorage() + + public struct Params { + // SwiftProtobuf.Message conformance is added in an extension below. See the + // `Message` and `Message+*Additions` files in the SwiftProtobuf library for + // methods supported on all messages. + + public var tokenID: Data = Data() + + public var amount: UInt64 = 0 + + public var recipientAddressBinary: Data = Data() + + public var data: String = String() + + public var unknownFields = SwiftProtobuf.UnknownStorage() + + public init() {} + } + + public init() {} + + fileprivate var _params: TransactionEntity.Params? = nil +} + +#if swift(>=5.5) && canImport(_Concurrency) +extension TransactionEntity: @unchecked Sendable {} +extension TransactionEntity.Params: @unchecked Sendable {} +#endif // swift(>=5.5) && canImport(_Concurrency) + +// MARK: - Code below here is support for the SwiftProtobuf runtime. + +extension TransactionEntity: SwiftProtobuf.Message, SwiftProtobuf._MessageImplementationBase, SwiftProtobuf._ProtoNameProviding { + public static let protoMessageName: String = "TransactionEntity" + public static let _protobuf_nameMap: SwiftProtobuf._NameMap = [ + 1: .same(proto: "module"), + 2: .same(proto: "command"), + 3: .same(proto: "nonce"), + 4: .same(proto: "fee"), + 5: .same(proto: "senderPublicKey"), + 6: .same(proto: "params"), + 7: .same(proto: "signatures"), + ] + + mutating public func decodeMessage(decoder: inout D) throws { + while let fieldNumber = try decoder.nextFieldNumber() { + // The use of inline closures is to circumvent an issue where the compiler + // allocates stack space for every case branch when no optimizations are + // enabled. https://github.com/apple/swift-protobuf/issues/1034 + switch fieldNumber { + case 1: try { try decoder.decodeSingularStringField(value: &self.module) }() + case 2: try { try decoder.decodeSingularStringField(value: &self.command) }() + case 3: try { try decoder.decodeSingularUInt64Field(value: &self.nonce) }() + case 4: try { try decoder.decodeSingularUInt64Field(value: &self.fee) }() + case 5: try { try decoder.decodeSingularBytesField(value: &self.senderPublicKey) }() + case 6: try { try decoder.decodeSingularMessageField(value: &self._params) }() + case 7: try { try decoder.decodeRepeatedBytesField(value: &self.signatures) }() + default: break + } + } + } + + public func traverse(visitor: inout V) throws { + // The use of inline closures is to circumvent an issue where the compiler + // allocates stack space for every if/case branch local when no optimizations + // are enabled. https://github.com/apple/swift-protobuf/issues/1034 and + // https://github.com/apple/swift-protobuf/issues/1182 + if !self.module.isEmpty { + try visitor.visitSingularStringField(value: self.module, fieldNumber: 1) + } + if !self.command.isEmpty { + try visitor.visitSingularStringField(value: self.command, fieldNumber: 2) + } + try visitor.visitSingularUInt64Field(value: self.nonce, fieldNumber: 3) + if self.fee != 0 { + try visitor.visitSingularUInt64Field(value: self.fee, fieldNumber: 4) + } + if !self.senderPublicKey.isEmpty { + try visitor.visitSingularBytesField(value: self.senderPublicKey, fieldNumber: 5) + } + try { if let v = self._params { + try visitor.visitSingularMessageField(value: v, fieldNumber: 6) + } }() + if !self.signatures.isEmpty { + try visitor.visitRepeatedBytesField(value: self.signatures, fieldNumber: 7) + } + try unknownFields.traverse(visitor: &visitor) + } + + public static func ==(lhs: TransactionEntity, rhs: TransactionEntity) -> Bool { + if lhs.module != rhs.module {return false} + if lhs.command != rhs.command {return false} + if lhs.nonce != rhs.nonce {return false} + if lhs.fee != rhs.fee {return false} + if lhs.senderPublicKey != rhs.senderPublicKey {return false} + if lhs._params != rhs._params {return false} + if lhs.signatures != rhs.signatures {return false} + if lhs.unknownFields != rhs.unknownFields {return false} + return true + } +} + +extension TransactionEntity.Params: SwiftProtobuf.Message, SwiftProtobuf._MessageImplementationBase, SwiftProtobuf._ProtoNameProviding { + public static let protoMessageName: String = TransactionEntity.protoMessageName + ".Params" + public static let _protobuf_nameMap: SwiftProtobuf._NameMap = [ + 1: .same(proto: "tokenID"), + 2: .same(proto: "amount"), + 3: .same(proto: "recipientAddressBinary"), + 4: .same(proto: "data"), + ] + + mutating public func decodeMessage(decoder: inout D) throws { + while let fieldNumber = try decoder.nextFieldNumber() { + // The use of inline closures is to circumvent an issue where the compiler + // allocates stack space for every case branch when no optimizations are + // enabled. https://github.com/apple/swift-protobuf/issues/1034 + switch fieldNumber { + case 1: try { try decoder.decodeSingularBytesField(value: &self.tokenID) }() + case 2: try { try decoder.decodeSingularUInt64Field(value: &self.amount) }() + case 3: try { try decoder.decodeSingularBytesField(value: &self.recipientAddressBinary) }() + case 4: try { try decoder.decodeSingularStringField(value: &self.data) }() + default: break + } + } + } + + public func traverse(visitor: inout V) throws { + if !self.tokenID.isEmpty { + try visitor.visitSingularBytesField(value: self.tokenID, fieldNumber: 1) + } + if self.amount != 0 { + try visitor.visitSingularUInt64Field(value: self.amount, fieldNumber: 2) + } + if !self.recipientAddressBinary.isEmpty { + try visitor.visitSingularBytesField(value: self.recipientAddressBinary, fieldNumber: 3) + } + try visitor.visitSingularStringField(value: self.data, fieldNumber: 4) + try unknownFields.traverse(visitor: &visitor) + } + + public static func ==(lhs: TransactionEntity.Params, rhs: TransactionEntity.Params) -> Bool { + if lhs.tokenID != rhs.tokenID {return false} + if lhs.amount != rhs.amount {return false} + if lhs.recipientAddressBinary != rhs.recipientAddressBinary {return false} + if lhs.data != rhs.data {return false} + if lhs.unknownFields != rhs.unknownFields {return false} + return true + } +} diff --git a/LiskKit/Sources/API/Transactions/Transactions.swift b/LiskKit/Sources/API/Transactions/Transactions.swift index ea2930997..90adeac00 100644 --- a/LiskKit/Sources/API/Transactions/Transactions.swift +++ b/LiskKit/Sources/API/Transactions/Transactions.swift @@ -48,6 +48,17 @@ extension Transactions { public func submit(signedTransaction: RequestOptions, completionHandler: @escaping (Response) -> Void) { client.post(path: "transactions", options: signedTransaction, completionHandler: completionHandler) } + + public func submit(transaction: TransactionEntity) async throws -> TransactionSubmitModel { + guard let hash = transaction.getTxHash() else { + throw APIError.unexpected(code: 0) + } + + return try await client.request( + method: "txpool_postTransaction", + params: ["transaction": hash] + ) + } } // MARK: - Send diff --git a/LiskKit/Sources/Constants.swift b/LiskKit/Sources/Constants.swift index 323e7b891..ce0684387 100644 --- a/LiskKit/Sources/Constants.swift +++ b/LiskKit/Sources/Constants.swift @@ -39,4 +39,9 @@ public struct Constants { public static let test = "15f0dacc1060e91818224a94286b13aa04279c640bd5d6f193182031d133df7c" public static let beta = "ef3844327d1fd0fc5785291806150c937797bdb34a748c9cd932b7e859e9ca0c" } + + public static let chainID = "00000000" + public static let tokenID = "0000000000000000" + public static let command = "transfer" + public static let module = "token" } diff --git a/LiskKit/Sources/Core/APIClient.swift b/LiskKit/Sources/Core/APIClient.swift index a54dfe9da..de984eda6 100644 --- a/LiskKit/Sources/Core/APIClient.swift +++ b/LiskKit/Sources/Core/APIClient.swift @@ -48,12 +48,18 @@ public struct APIClient { public static let testnet = APIClient(options: .Service.testnet) } + struct JSONResponse: Decodable { + let id: String + let jsonrpc: String + let result: R + } + // MARK: - Init public init(options: APIOptions = .mainnet) { // swiftlint:disable:next force_unwrapping - self.baseURL = URL(string: "\(options.node.origin)/api")! + self.baseURL = URL(string: "\(options.node.origin)")! self.headers = [ "Accept": options.nethash.contentType, @@ -99,17 +105,35 @@ public struct APIClient { return (request, task) } + public func request( + method: String, + params: [String: Any] + ) async throws -> R { + let request = try createRPCRequest(method: method, params: params) + let response: R = try await dataTask(request) + return response + } + // MARK: - Private /// Base url of all requests internal let baseURL: URL + private let rpcPath = "rpc" + /// Headers to send on every request private let headers: [String: String] /// Session to send http requests private let urlSession = URLSession(configuration: .ephemeral) + /// Create a json data task + private func dataTask(_ request: URLRequest) async throws -> R { + let data = try await urlSession.data(for: request) + let response: R = try processRequestCompletion(data.0, response: data.1) + return response + } + /// Create a json data task private func dataTask(_ request: URLRequest, completionHandler: @escaping (Response) -> Void) -> URLSessionDataTask { let task = urlSession.dataTask(with: request) { data, response, _ in @@ -145,10 +169,30 @@ public struct APIClient { request.httpBody = try? JSONSerialization.data(withJSONObject: options, options: []) } } - return request } + func createRPCRequest( + method: String, + params: [String: Any] + ) throws -> URLRequest { + let url = baseURL.appendingPathComponent(rpcPath) + var request = URLRequest(url: url, cachePolicy: .reloadIgnoringLocalCacheData) + + request.httpMethod = "POST" + request.setValue("application/json", forHTTPHeaderField: "Content-Type") + + let requestBody: [String: Any] = [ + "jsonrpc": "2.0", + "id": "1", + "method": method, + "params": params + ] + + let jsonData = try JSONSerialization.data(withJSONObject: requestBody) + request.httpBody = jsonData + return request + } /// Converts a dict to url encoded query string private func urlEncodedQueryString(_ options: Any) -> String { guard let options = options as? RequestOptions else { @@ -193,4 +237,33 @@ public struct APIClient { return .success(response: result) } + + /// Process a response + private func processRequestCompletion( + _ data: Data?, + response: URLResponse? + ) throws -> R { + let code = (response as? HTTPURLResponse)?.statusCode + + guard let data = data else { + throw APIError.unexpected(code: code) + } + + guard let jsonResponse = try? JSONDecoder().decode(JSONResponse.self, from: data) else { + if var error = try? JSONDecoder().decode(APIError.self, from: data) { + error.code = code + throw error + } else if + let error = try? JSONDecoder().decode(APIErrors.self, from: data), + var first = error.errors.first + { + first.code = code + throw first + } + + throw APIError.unknown(code: code) + } + + return jsonResponse.result + } } diff --git a/LiskKit/Sources/Core/APIError.swift b/LiskKit/Sources/Core/APIError.swift index d3d8cf3a6..e9daf2ba8 100644 --- a/LiskKit/Sources/Core/APIError.swift +++ b/LiskKit/Sources/Core/APIError.swift @@ -55,7 +55,7 @@ extension APIError: Decodable { } } -extension APIError { +public extension APIError { public static let noNetwork = Self.unexpected(code: nil) /// Describes an unexpected error diff --git a/LiskKit/Sources/Crypto/Crypto.swift b/LiskKit/Sources/Crypto/Crypto.swift index 0df75444a..2a0361726 100644 --- a/LiskKit/Sources/Crypto/Crypto.swift +++ b/LiskKit/Sources/Crypto/Crypto.swift @@ -58,6 +58,14 @@ public struct Crypto { return "\(PREFIX_LISK)\(identifier)" } + public static func getBase32Address(binaryAddress: String) -> String { + let binaryAddress = binaryAddress.hexBytes() + let uint5Address = convertUIntArray(binaryAddress.map { UInt($0) }, 8, 5) + let uint5Checksum = createChecksum(uint5Address) + let identifier = convertUInt5ToBase32(uint5Address + uint5Checksum) + return "\(PREFIX_LISK)\(identifier)" + } + public static func getBinaryAddressFromBase32(_ base32Address: String) -> String? { guard isValidBase32(address: base32Address) else { return nil } diff --git a/LiskKit/Sources/Crypto/ED25519/Ed25519.swift b/LiskKit/Sources/Crypto/ED25519/Ed25519.swift new file mode 100644 index 000000000..4f38453ce --- /dev/null +++ b/LiskKit/Sources/Crypto/ED25519/Ed25519.swift @@ -0,0 +1,177 @@ +// +// Ed25519.swift +// +// +// Created by Stanislav Jelezoglo on 18.12.2023. +// + +import Foundation + +public struct Ed25519 { + + static func crypto_hash_sha512(_ r: inout [UInt8], _ k: [UInt8], len: Int) { + r = Ed25519.sha512(Array(k[0.. [UInt8] { + #if NO_USE_CryptoSwift + let data = Data(s) + var digest = [UInt8](repeating: 0, count: Int(CC_SHA512_DIGEST_LENGTH)) + data.withUnsafeBytes { (p: UnsafeRawBufferPointer) -> Void in + CC_SHA512(p.baseAddress, CC_LONG(data.count), &digest) + } + return digest + #else + return s.sha512() + #endif + } + private static func randombytes(_ r: inout [UInt8], len: Int) { + r = [UInt8](repeating: 0, count: len) + // @note Apple API + let result = SecRandomCopyBytes(kSecRandomDefault, len, &r) + assert(result == 0) + } + + private static func crypto_verify_32(_ x: [UInt8], _ y: [UInt8]) -> Bool { + if x.count != 32 || y.count != 32 { + return false + } + for i in 0..<32 { + if x[i] != y[i] { + return false + } + } + return true + } + + /// create keypair + /// - Parameters: + /// - publicKey: private key 32bytes + /// - secretKey: secret key 32bytes + public static func generateKeyPair() -> (publicKey: [UInt8], secretKey: [UInt8]) { + var secretKey = [UInt8](repeating: 0, count: 32) + // create secret key 32byte + randombytes(&secretKey, len: 32) + let publicKey = calcPublicKey(secretKey: secretKey) + return (publicKey, secretKey) + } + + /// calc public key from secret key + /// - Parameters: + /// - secretKey: secret key 32bytes + /// - Return: public key 32bytes + public static func calcPublicKey(secretKey: [UInt8]) -> [UInt8] { + assert(secretKey.count == 32) + var sc_sk = sc() + var ge_pk = ge() + var az = [UInt8](repeating: 0, count: 64) + var pk = [UInt8](repeating: 0, count: 32) + // sha512 of sk + crypto_hash_sha512(&az, secretKey, len: 32) + // calc public key + az[0] &= 248 // clear lowest 3bit + az[31] &= 127 // clear highest bit + az[31] |= 64 // set second highest bit + + sc.sc25519_from32bytes(&sc_sk, az) + + // gepk = a * G + ge.ge25519_scalarmult_base(&ge_pk, sc_sk) + ge.ge25519_pack(&pk, ge_pk) + assert(pk.count == 32) + return pk + } + + /// validate key pair + /// - Parameters: + /// - publicKey: public key 32bytes + /// - secretKey: secret key 32bytes + public static func isValidKeyPair(publicKey: [UInt8], secretKey: [UInt8]) -> Bool { + if publicKey.count != 32 { + return false + } + if secretKey.count != 32 { + return false + } + let calc_pk = calcPublicKey(secretKey: secretKey) + for i in 0..<32 { + if calc_pk[i] != publicKey[i] { + return false + } + } + return true + } + + /// signing + /// - Parameters: + /// - message: message + /// - secretKey: 32 bytes secret key + /// - Return: 64 bytes signature + public static func sign(message: [UInt8], privateKey: [UInt8]) -> [UInt8] { + var secretKey = privateKey + if secretKey.count == 64 { + secretKey = Array(secretKey[0.. UInt32 /* 16-bit inputs */ { + if a < b { + return 1 + } else { + return 0 + } + } + + /// if r > m: r = r - m + /// else : r = r + private static func reduce_add_sub(_ r: inout sc) { + var val: UInt32 = 0 + var borrow: UInt32 = 0 + // r - m + var t = [UInt8](repeating: 0, count: 32) + + for i in 0..= 0 && vv <= 0xff) + t[i] = UInt8(vv) + val = borrow + } + // no borrow: mask = 0xffffffff -> r = r - m + // borrow : mask = 0x0 -> r = r + let mask = UInt32(bitPattern: Int32(borrow)-1) + for i in 0..= k-1 { + q2[i+j] += x[j+k-1] * mu[i] + } + } + } + + // q3 = floor(q2 / b^(k+1)) + // q3 = (... + b^(k+1) * q2[k+1] + b^(k+2) * q2[k+2] + ... + b^(2k) * q2[2k] + b^(2k+1) * q2[2k+1]) + // = q2[k+1] + b^1 * q2[k+1] + ... + b^(k-1) * q2[2k] + b^k * q2[2k+1] + // Since q2[2k] has carry q2[2k+1] is zero. + let carry1 = q2[k-1] >> 8 + q2[k] += carry1 + let carry2 = q2[k] >> 8 + q2[k+1] += carry2 + + // STEP2,3 + // r1 = x (mod b^(k+1)) + var r1 = [UInt32](repeating: 0, count: k+1) + for i in 0...k { + r1[i] = x[i] + } + + // r2 = q3 * m (mod b^(k+1)) + var r2 = [UInt32](repeating: 0, count: k+1) + for i in 0...k-1 { + for j in 0...k { + if i+j < k+1 { + r2[i+j] += q2[j+k+1] * m[i] + } + } + } + for i in 0...k-1 { + let carry = r2[i] >> 8 + r2[i+1] += carry + r2[i] &= 0xff + } + r2[k] &= 0xff + + // r = r1 - r2 (or + b^(k+1)) + // last borrow means STEP3 for r < 0 + // r = (Q-q3) * m + R <= 2m + // 2m = 2 * (0x10 * b^(k-1) + ...) = 0x20 * b^(k-1) + ... < b^k + // so r can represented for b^0 y\_0 + b^1 y\_1 + ... + b^(k-1) y\_(k-1) + // it means r[v] is zero + var val: UInt32 = 0 + for i in 0...k-1 { + val += r2[i] + let borrow = lt(r1[i], val) + let vv = Int64(r1[i]) - Int64(val) + Int64(borrow << 8) + assert(vv >= 0 && vv <= 0xff) + r.v[i] = UInt32(vv) + val = borrow + } + + // STEP4: twice or once or none + reduce_add_sub(&r) + reduce_add_sub(&r) + } + + // check x is [0, m) + static func sc25519_less_order(_ x: [UInt8] /* 32 */) -> Bool { + if x.count != k { + return false + } + for i in (0.. m[i] { + // large + return false + } + } + // equal to m + return false + } + + static func sc25519_from32bytes(_ r: inout sc, _ x: [UInt8] /* 32 */) { + assert(x.count >= k) + var t = [UInt32](repeating: 0, count: k*2) + for i in 0..= 16) + for i in 0..<16 { + r.v[i] = UInt32(x[i]) + } + } + + static func sc25519_from64bytes(_ r: inout sc, _ x: [UInt8] /* 64 */) { + assert(x.count == k*2) + var t = [UInt32](repeating: 0, count: k*2) + for i in 0.. Int { + for i in 0.. Int { + for i in stride(from: 31, to: 15, by: -1) { + if x.v[i] != 0 { + return 0 + } + } + return 1 + } + + static func sc25519_lt_vartime(_ x: sc, _ y: sc) -> UInt { + for i in stride(from: 31, through: 0, by: -1) { + if x.v[i] < y.v[i] { + return 1 + } + if x.v[i] > y.v[i] { + return 0 + } + } + return 0 + } + + static func sc25519_add(_ r: inout sc, _ x: sc, _ y: sc) { + var carry: UInt32 + for i in 0..> 8 + r.v[i+1] += carry + r.v[i] &= 0xff + } + sc.reduce_add_sub(&r) + } + + static func sc25519_sub_nored(_ r: inout sc, _ x: sc, _ y: sc) { + var borrow: UInt32 = 0 + var t: UInt32 + for i in 0..> 8) & 1 + } + } + + static func sc25519_mul(_ r: inout sc, _ x: sc, _ y: sc) { + var t = [UInt32](repeating: 0, count: k*2) + + for i in 0..> 8 + t[i+1] += carry + t[i] &= 0xff + } + + sc.barrett_reduce(&r, t) + } + + static func sc25519_mul_shortsc(_ r: inout sc, _ x: sc, _ y: shortsc) { + var t = sc() + sc25519_from_shortsc(&t, y) + sc25519_mul(&r, x, t) + } + + // divide to 3bits + // 3 * 85 = 255 + static func sc25519_window3(_ r: inout [Int8] /* 85 */, _ s: sc) { + assert(r.count == 85) + for i in 0..<10 { + r[8*i+0] = Int8(bitPattern: UInt8(s.v[3*i+0] & 7)) + r[8*i+1] = Int8(bitPattern: UInt8((s.v[3*i+0] >> 3) & 7)) + r[8*i+2] = Int8(bitPattern: UInt8((s.v[3*i+0] >> 6) & 7)) + r[8*i+2] ^= Int8(bitPattern: UInt8((s.v[3*i+1] << 2) & 7)) + r[8*i+3] = Int8(bitPattern: UInt8((s.v[3*i+1] >> 1) & 7)) + r[8*i+4] = Int8(bitPattern: UInt8((s.v[3*i+1] >> 4) & 7)) + r[8*i+5] = Int8(bitPattern: UInt8((s.v[3*i+1] >> 7) & 7)) + r[8*i+5] ^= Int8(bitPattern: UInt8((s.v[3*i+2] << 1) & 7)) + r[8*i+6] = Int8(bitPattern: UInt8((s.v[3*i+2] >> 2) & 7)) + r[8*i+7] = Int8(bitPattern: UInt8((s.v[3*i+2] >> 5) & 7)) + } + let i = 10 + r[8*i+0] = Int8(bitPattern: UInt8(s.v[3*i+0] & 7)) + r[8*i+1] = Int8(bitPattern: UInt8((s.v[3*i+0] >> 3) & 7)) + r[8*i+2] = Int8(bitPattern: UInt8((s.v[3*i+0] >> 6) & 7)) + r[8*i+2] ^= Int8(bitPattern: UInt8((s.v[3*i+1] << 2) & 7)) + r[8*i+3] = Int8(bitPattern: UInt8((s.v[3*i+1] >> 1) & 7)) + r[8*i+4] = Int8(bitPattern: UInt8((s.v[3*i+1] >> 4) & 7)) + + /* Making it signed */ + var carry: Int8 = 0 + for i in 0..<84 { + r[i] += carry + r[i+1] += (r[i] >> 3) + r[i] &= 7 + carry = r[i] >> 2 + let vv: Int16 = Int16(r[i]) - Int16(carry<<3) + assert(vv >= -128 && vv <= 127) + r[i] = Int8(vv) + } + r[84] += Int8(carry) + } + + // scalar is less than 2^255 - 19, so 256bit value always zero. + static func sc25519_2interleave2(_ r: inout [UInt8] /* 127 */, _ s1: sc, _ s2: sc) { + assert(r.count == 127) + for i in 0..<31 { + let a1 = UInt8(s1.v[i] & 0xff) + let a2 = UInt8(s2.v[i] & 0xff) + // 8bits = 2bits * 4 + // s2 s1 + r[4*i] = ((a1 >> 0) & 3) ^ (((a2 >> 0) & 3) << 2) + r[4*i+1] = ((a1 >> 2) & 3) ^ (((a2 >> 2) & 3) << 2) + r[4*i+2] = ((a1 >> 4) & 3) ^ (((a2 >> 4) & 3) << 2) + r[4*i+3] = ((a1 >> 6) & 3) ^ (((a2 >> 6) & 3) << 2) + } + + let b1 = UInt8(s1.v[31] & 0xff) + let b2 = UInt8(s2.v[31] & 0xff) + r[124] = ((b1 >> 0) & 3) ^ (((b2 >> 0) & 3) << 2) + r[125] = ((b1 >> 2) & 3) ^ (((b2 >> 2) & 3) << 2) + r[126] = ((b1 >> 4) & 3) ^ (((b2 >> 4) & 3) << 2) + } +} + +// field element +struct fe: CustomDebugStringConvertible { + // WINDOWSIZE = 1, 8bit * 32 = 256bit + // val = 2^(31*8) * v[31] + // + 2^(30*8) * v[30] + // + .. + // + 2^(2*8) * v[2] + // + 2^(1*8) * v[1] + // + 2^(0*8) * v[0] + public var v: [UInt32] // size:32 + + public var debugDescription: String { + return v.map({ String(format: "%d ", $0)}).joined() + } + + public init() { + v = [UInt32](repeating: 0, count: 32) + } + + public init(_ v: [UInt32]) { + assert(v.count == 32) + self.v = v + } + + /* 16-bit inputs */ + static func equal(_ a: UInt32, _ b: UInt32) -> UInt32 { + return a == b ? 1 : 0 + } + + // greater equal + /* 16-bit inputs */ + static func ge(_ a: UInt32, _ b: UInt32) -> UInt32 { + return a >= b ? 1 : 0 + } + + // 19 * a = (2^4 + 2^1 + 2^0) * a + static func times19(_ a: UInt32) -> UInt32 { + return (a << 4) + (a << 1) + a + } + + // 38 * a = (2^5 + 2^2 + 2^1) * a + static func times38(_ a: UInt32) -> UInt32 { + return (a << 5) + (a << 2) + (a << 1) + } + + // q = 2^255 - 19 = 2^(31*8)*(2^7) - 19 + // 7fff ffff ffff ffff ffff ffff ffff ffff + // ffff ffff ffff ffff ffff ffff ffff ffed + // 0x7f = 0111 1111 = 2^7-1 + // 0xff = 1111 1111 = 2^8-1 + static func reduce_add_sub(_ r: inout fe) { + var t: UInt32 + var s: UInt32 + // 32bit / 8bit = 4 + for _ in 0..<4 { + // use q = 2^(31*8)*(2^7) - 19 + t = r.v[31] >> 7 + r.v[31] &= 0x7f + t = times19(t) + r.v[0] += t + // move up + for i in 0..<31 { + s = r.v[i] >> 8 + r.v[i+1] += s + r.v[i] &= 0xff + } + } + } + + static func reduce_mul(_ r: inout fe) { + var t: UInt32 + var s: UInt32 + for _ in 0..<2 { + // use q = 2^(31*8)*(2^7) - 19 + t = r.v[31] >> 7 + r.v[31] &= 0x7f + t = times19(t) + r.v[0] += t + // move up + for i in 0..<31 { + s = r.v[i] >> 8 + r.v[i+1] += s + r.v[i] &= 0xff + } + } + } + + /// reduction modulo 2^255-19 + /// 0x7f = 127 + /// 0xff = 255 + /// 0xed = 237 + static func fe25519_freeze(_ r: inout fe) { + assert(r.v[31] <= 0xff) + var m: UInt32 = equal(r.v[31], 127) + for i in stride(from: 30, to: 0, by: -1) { + m &= equal(r.v[i], 255) + } + m &= ge(r.v[0], 237) + // Here if value is greater than q, m is 1 or 0. + m = UInt32(bitPattern: Int32(m) * -1) + // m is 0xffffffff or 0x0 + + r.v[31] -= (m&127) + for i in stride(from: 30, to: 0, by: -1) { + r.v[i] -= m&255 + } + r.v[0] -= m&237 + } + + static func fe25519_unpack(_ r: inout fe, _ x: [UInt8]/* 32 */) { + assert(x.count == 32) + for i in 0..<32 { + r.v[i] = UInt32(x[i]) + } + r.v[31] &= 127 // remove parity + } + + /// Assumes input x being reduced mod 2^255 + static func fe25519_pack(_ r: inout [UInt8] /* 32 or more */, _ x: fe) { + assert(r.count >= 32) + var y = x + fe.fe25519_freeze(&y) + for i in 0..<32 { + r[i] = UInt8(y.v[i]) + } + } + + /// freeze input before calling iszero + static func fe25519_iszero(_ x: fe) -> Bool { + var t = x + fe.fe25519_freeze(&t) + var r = fe.equal(t.v[0], 0) + for i in 1..<32 { + r &= fe.equal(t.v[i], 0) + } + return r != 0 + } + + /// is equal after freeze + static func fe25519_iseq_vartime(_ x: fe, _ y: fe) -> Bool { + var t1 = x + var t2 = y + fe.fe25519_freeze(&t1) + fe.fe25519_freeze(&t2) + for i in 0..<32 { + if t1.v[i] != t2.v[i] { + return false + } + } + return true + } + + /// conditional move + static func fe25519_cmov(_ r: inout fe, _ x: fe, _ b: UInt8) { + let mask = UInt32(bitPattern: Int32(b) * -1) + for i in 0..<32 { + // ^ means xor + r.v[i] ^= mask & (x.v[i] ^ r.v[i]) + } + } + + /// odd:1 even:0 + static func fe25519_getparity(_ x: fe) -> UInt8 { + var t = x + fe.fe25519_freeze(&t) + return UInt8(t.v[0] & 1) + } + + /// r = 1 + static func fe25519_setone(_ r: inout fe) { + r.v[0] = 1 + for i in 1..<32 { + r.v[i] = 0 + } + } + + /// r = 0 + static func fe25519_setzero(_ r: inout fe) { + for i in 0..<32 { + r.v[i] = 0 + } + } + + /// r = -x + static func fe25519_neg(_ r: inout fe, _ x: fe) { + var t = fe() + for i in 0..<32 { + t.v[i] = x.v[i] + } + fe25519_setzero(&r) + fe25519_sub(&r, r, t) + } + + /// r = x + y + static func fe25519_add(_ r: inout fe, _ x: fe, _ y: fe) { + for i in 0..<32 { + r.v[i] = x.v[i] + y.v[i] + } + fe.reduce_add_sub(&r) + } + + /// r = x - y + /// q = 2 ** 255 - 19 + /// 7fff ffff ffff ffff ffff ffff ffff ffff + /// ffff ffff ffff ffff ffff ffff ffff ffed + /// 2 * 7f = fe + /// 2 * ff = 1fe + /// 2 * ed = 1da + /// @note result is reduced + static func fe25519_sub(_ r: inout fe, _ x: fe, _ y: fe) { + // t = 2 * q + x + var t = [UInt32](repeating: 0, count: 32) + t[0] = x.v[0] + 0x1da // LSB + for i in 1..<31 { t[i] = x.v[i] + 0x1fe } + t[31] = x.v[31] + 0xfe // MSB + // r = t - y + for i in 0..<32 { r.v[i] = t[i] - y.v[i] } + fe.reduce_add_sub(&r) + } + + /// r = x * y + static func fe25519_mul(_ r: inout fe, _ x: fe, _ y: fe) { + var t = [UInt32](repeating: 0, count: 63) + + for i in 0..<32 { + for j in 0..<32 { + t[i+j] += x.v[i] * y.v[j] + } + } + + // 2q = 2^256 - 2*19 + // so 2^256 = 2*19 + for i in 32..<63 { + r.v[i-32] = t[i-32] + fe.times38(t[i]) + } + r.v[31] = t[31] /* result now in r[0]...r[31] */ + + fe.reduce_mul(&r) + } + + /// r = x^2 + static func fe25519_square(_ r: inout fe, _ x: fe) { + fe25519_mul(&r, x, x) + } + + /// r = 1/x + /// q = 2^255-19 + /// 1/a = a^(q-2) + /// q-2 = 2^255-21 + static func fe25519_invert(_ r: inout fe, _ x: fe) { + var z2 = fe() + var z9 = fe() + var z11 = fe() + var z2_5_0 = fe() + var z2_10_0 = fe() + var z2_20_0 = fe() + var z2_50_0 = fe() + var z2_100_0 = fe() + var t0 = fe() + var t1 = fe() + + /* 2 */ fe25519_square(&z2, x) + /* 4 */ fe25519_square(&t1, z2) + /* 8 */ fe25519_square(&t0, t1) + /* 9 */ fe25519_mul(&z9, t0, x) + /* 11 */ fe25519_mul(&z11, z9, z2) + /* 22 */ fe25519_square(&t0, z11) + /* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0, t0, z9) + + /* 2^6 - 2^1 */ fe25519_square(&t0, z2_5_0) + /* 2^7 - 2^2 */ fe25519_square(&t1, t0) + /* 2^8 - 2^3 */ fe25519_square(&t0, t1) + /* 2^9 - 2^4 */ fe25519_square(&t1, t0) + /* 2^10 - 2^5 */ fe25519_square(&t0, t1) + /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0, t0, z2_5_0) + + /* 2^11 - 2^1 */ fe25519_square(&t0, z2_10_0) + /* 2^12 - 2^2 */ fe25519_square(&t1, t0) + /* 2^20 - 2^10 */ for _ in stride(from: 2, to: 10, by: 2) { fe25519_square(&t0, t1); fe25519_square(&t1, t0) } + /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0, t1, z2_10_0) + + /* 2^21 - 2^1 */ fe25519_square(&t0, z2_20_0) + /* 2^22 - 2^2 */ fe25519_square(&t1, t0) + /* 2^40 - 2^20 */ for _ in stride(from: 2, to: 20, by: 2) { fe25519_square(&t0, t1); fe25519_square(&t1, t0) } + /* 2^40 - 2^0 */ fe25519_mul(&t0, t1, z2_20_0) + + /* 2^41 - 2^1 */ fe25519_square(&t1, t0) + /* 2^42 - 2^2 */ fe25519_square(&t0, t1) + /* 2^50 - 2^10 */ for _ in stride(from: 2, to: 10, by: 2) { fe25519_square(&t1, t0); fe25519_square(&t0, t1) } + /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0, t0, z2_10_0) + + /* 2^51 - 2^1 */ fe25519_square(&t0, z2_50_0) + /* 2^52 - 2^2 */ fe25519_square(&t1, t0) + /* 2^100 - 2^50 */ for _ in stride(from: 2, to: 50, by: 2) { fe25519_square(&t0, t1); fe25519_square(&t1, t0) } + /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0, t1, z2_50_0) + + /* 2^101 - 2^1 */ fe25519_square(&t1, z2_100_0) + /* 2^102 - 2^2 */ fe25519_square(&t0, t1) + /* 2^200 - 2^100 */ for _ in stride(from: 2, to: 100, by: 2) { fe25519_square(&t1, t0); fe25519_square(&t0, t1) } + /* 2^200 - 2^0 */ fe25519_mul(&t1, t0, z2_100_0) + + /* 2^201 - 2^1 */ fe25519_square(&t0, t1) + /* 2^202 - 2^2 */ fe25519_square(&t1, t0) + /* 2^250 - 2^50 */ for _ in stride(from: 2, to: 50, by: 2) { fe25519_square(&t0, t1); fe25519_square(&t1, t0) } + /* 2^250 - 2^0 */ fe25519_mul(&t0, t1, z2_50_0) + + /* 2^251 - 2^1 */ fe25519_square(&t1, t0) + /* 2^252 - 2^2 */ fe25519_square(&t0, t1) + /* 2^253 - 2^3 */ fe25519_square(&t1, t0) + /* 2^254 - 2^4 */ fe25519_square(&t0, t1) + /* 2^255 - 2^5 */ fe25519_square(&t1, t0) + /* 2^255 - 21 */ fe25519_mul(&r, t1, z11) + } + + /// q = 2^255-19 + /// (q-5)/8 = 2^252 - 3 + /// r = x ^ (2^252 - 3) + static func fe25519_pow2523(_ r: inout fe, _ x: fe) { + var z2 = fe() + var z9 = fe() + var z11 = fe() + var z2_5_0 = fe() + var z2_10_0 = fe() + var z2_20_0 = fe() + var z2_50_0 = fe() + var z2_100_0 = fe() + var t = fe() + + /* 2 */ fe25519_square(&z2, x) + /* 4 */ fe25519_square(&t, z2) + /* 8 */ fe25519_square(&t, t) + /* 9 */ fe25519_mul(&z9, t, x) + /* 11 */ fe25519_mul(&z11, z9, z2) + /* 22 */ fe25519_square(&t, z11) + /* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0, t, z9) + + /* 2^6 - 2^1 */ fe25519_square(&t, z2_5_0) + /* 2^10 - 2^5 */ for _ in 1..<5 { fe25519_square(&t, t) } + /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0, t, z2_5_0) + + /* 2^11 - 2^1 */ fe25519_square(&t, z2_10_0) + /* 2^20 - 2^10 */ for _ in 1..<10 { fe25519_square(&t, t) } + /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0, t, z2_10_0) + + /* 2^21 - 2^1 */ fe25519_square(&t, z2_20_0) + /* 2^40 - 2^20 */ for _ in 1..<20 { fe25519_square(&t, t) } + /* 2^40 - 2^0 */ fe25519_mul(&t, t, z2_20_0) + + /* 2^41 - 2^1 */ fe25519_square(&t, t) + /* 2^50 - 2^10 */ for _ in 1..<10 { fe25519_square(&t, t) } + /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0, t, z2_10_0) + + /* 2^51 - 2^1 */ fe25519_square(&t, z2_50_0) + /* 2^100 - 2^50 */ for _ in 1..<50 { fe25519_square(&t, t) } + /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0, t, z2_50_0) + + /* 2^101 - 2^1 */ fe25519_square(&t, z2_100_0) + /* 2^200 - 2^100 */ for _ in 1..<100 { fe25519_square(&t, t) } + /* 2^200 - 2^0 */ fe25519_mul(&t, t, z2_100_0) + + /* 2^201 - 2^1 */ fe25519_square(&t, t) + /* 2^250 - 2^50 */ for _ in 1..<50 { fe25519_square(&t, t) } + /* 2^250 - 2^0 */ fe25519_mul(&t, t, z2_50_0) + + /* 2^251 - 2^1 */ fe25519_square(&t, t) + /* 2^252 - 2^2 */ fe25519_square(&t, t) + /* 2^252 - 3 */ fe25519_mul(&r, t, x) + } +} diff --git a/LiskKit/Sources/Crypto/ED25519/Ed25519ge.swift b/LiskKit/Sources/Crypto/ED25519/Ed25519ge.swift new file mode 100644 index 000000000..337af81d2 --- /dev/null +++ b/LiskKit/Sources/Crypto/ED25519/Ed25519ge.swift @@ -0,0 +1,3039 @@ +// +// ed25519_ge.swift +// +// Copyright 2017 pebble8888. All rights reserved. +// +// This software is provided 'as-is', without any express or implied +// warranty. In no event will the authors be held liable for any damages +// arising from the use of this software. +// +// Permission is granted to anyone to use this software for any purpose, +// including commercial applications, and to alter it and redistribute it +// freely, subject to the following restrictions: +// +// 1. The origin of this software must not be misrepresented; you must not +// claim that you wrote the original software. If you use this software +// in a product, an acknowledgment in the product documentation would be +// appreciated but is not required. +// +// 2. Altered source versions must be plainly marked as such, and must not be +// misrepresented as being the original software. +// +// 3. This notice may not be removed or altered from any source distribution. +// + +import Foundation + +struct ge: CustomDebugStringConvertible { + var x: fe + var y: fe + var z: fe + var t: fe + public var debugDescription: String { + return "x:\(x)\n" + "y:\(y)\n" + "z:\(z)\n" + "t:\(t)\n" + } + + init() { + x = fe() // zero + y = fe() // zero + z = fe() // zero + t = fe() // zero + } + + init(_ x: fe, _ y: fe, _ z: fe, _ t: fe) { + self.x = x + self.y = y + self.z = z + self.t = t + } + + // not use self.t + private var toProj: Proj { + return Proj(self.x, self.y, self.z) + } + + // @warning t remains gabage + mutating private func setFromProj(_ proj: Proj) { + x = proj.x + y = proj.y + z = proj.z + } + + /* + * Arithmetic on the twisted Edwards curve -x^2 + y^2 = 1 + dx^2y^2 + * with d = -(121665/121666) = 37095705934669439343138083508754565189542113879843219016388785533085940283555 + * Base point: (15112221349535400772501151409588531511454012693041857206046113283949847762202, + * 46316835694926478169428394003475163141307993866256225615783033603165251855960) + */ + + /* d */ + private static let ecd: fe = + fe([0xA3, 0x78, 0x59, 0x13, 0xCA, 0x4D, 0xEB, 0x75, 0xAB, 0xD8, 0x41, 0x41, 0x4D, 0x0A, 0x70, 0x00, + 0x98, 0xE8, 0x79, 0x77, 0x79, 0x40, 0xC7, 0x8C, 0x73, 0xFE, 0x6F, 0x2B, 0xEE, 0x6C, 0x03, 0x52]) + /* 2*d */ + private static let ec2d: fe = + fe([0x59, 0xF1, 0xB2, 0x26, 0x94, 0x9B, 0xD6, 0xEB, 0x56, 0xB1, 0x83, 0x82, 0x9A, 0x14, 0xE0, 0x00, + 0x30, 0xD1, 0xF3, 0xEE, 0xF2, 0x80, 0x8E, 0x19, 0xE7, 0xFC, 0xDF, 0x56, 0xDC, 0xD9, 0x06, 0x24]) + /* sqrt(-1) = 2^((p-1)/4) */ + private static let sqrtm1: fe = + fe([0xB0, 0xA0, 0x0E, 0x4A, 0x27, 0x1B, 0xEE, 0xC4, 0x78, 0xE4, 0x2F, 0xAD, 0x06, 0x18, 0x43, 0x2F, + 0xA7, 0xD7, 0xFB, 0x3D, 0x99, 0x00, 0x4D, 0x2B, 0x0B, 0xDF, 0xC1, 0x4F, 0x80, 0x24, 0x83, 0x2B]) + + // intermediate point + // ge.x = E F + // ge.y = H G + // ge.z = G F + // ge.t = E H + private struct P1P1 { + var e: fe + var h: fe + var g: fe + var f: fe + init() { + e = fe() + h = fe() + g = fe() + f = fe() + } + } + + // projective coordinates + private struct Proj { + var x: fe + var y: fe + var z: fe + init() { + x = fe() + y = fe() + z = fe() + } + init(_ x: fe, _ y: fe, _ z: fe) { + self.x = x + self.y = y + self.z = z + } + } + + // affine coordinate point + private struct aff { + var x: fe + var y: fe + init() { + x = fe() + y = fe() + } + init(_ x: fe, _ y: fe) { + self.x = x + self.y = y + } + } + + // base point + // x = 15112221349535400772501151409588531511454012693041857206046113283949847762202 + // y = 46316835694926478169428394003475163141307993866256225615783033603165251855960 + // + // x = 0x21 * 2^31 + 0x69 * 2^30 + ... + 0x1a * 2^0 + // y = 0x66 * 2^31 + 0x66 * 2^30 + ... + 0x58 * 2^0 + // z = 1 + // t = x y (mod 2^255 -19) + // = 46827403850823179245072216630277197565144205554125654976674165829533817101731 + // = 0x67 * 2^31 + 0x87 * 2^30 + ... + 0xa3 * 2^0 + static let ge25519_base: ge = ge( + fe([0x1A, 0xD5, 0x25, 0x8F, 0x60, 0x2D, 0x56, 0xC9, 0xB2, 0xA7, 0x25, 0x95, 0x60, 0xC7, 0x2C, 0x69, + 0x5C, 0xDC, 0xD6, 0xFD, 0x31, 0xE2, 0xA4, 0xC0, 0xFE, 0x53, 0x6E, 0xCD, 0xD3, 0x36, 0x69, 0x21]), + fe([0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, + 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0xA3, 0xDD, 0xB7, 0xA5, 0xB3, 0x8A, 0xDE, 0x6D, 0xF5, 0x52, 0x51, 0x77, 0x80, 0x9F, 0xF0, 0x20, + 0x7D, 0xE3, 0xAB, 0x64, 0x8E, 0x4E, 0xEA, 0x66, 0x65, 0x76, 0x8B, 0xD7, 0x0F, 0x5F, 0x87, 0x67])) + + // x = E F + // y = H G + // z = F G + // (t = E H) + private static func p1p1_to_proj(_ r: inout Proj, _ p: P1P1) { + fe.fe25519_mul(&r.x, p.e, p.f) + fe.fe25519_mul(&r.y, p.g, p.h) + fe.fe25519_mul(&r.z, p.f, p.g) + } + + private static func p1p1_to_ge(_ r: inout ge, _ p: P1P1) { + var proj = Proj() + p1p1_to_proj(&proj, p) + r.setFromProj(proj) + // t = E H + fe.fe25519_mul(&r.t, p.e, p.h) + } + + // r = r + q + // Point addition + // r: extened twisted edward coordinates point + // q: affine point + private static func ge25519_mixadd2(_ r: inout ge, _ q: aff) { + var a = fe() + var b = fe() + var t1 = fe() + var t2 = fe() + var c = fe() + var d = fe() + var e = fe() + var f = fe() + var g = fe() + var h = fe() + var qt = fe() + fe.fe25519_mul(&qt, q.x, q.y) /* t = x y */ + fe.fe25519_sub(&a, r.y, r.x) /* A = Ry-Rx */ + fe.fe25519_add(&b, r.y, r.x) /* B = Ry+Rx */ + fe.fe25519_sub(&t1, q.y, q.x) /* t1 = y-x */ + fe.fe25519_add(&t2, q.y, q.x) /* t2 = y+x */ + fe.fe25519_mul(&a, a, t1) /* A = (Ry-Rx)(y-x) */ + fe.fe25519_mul(&b, b, t2) /* B = (Ry+Rx)(y+x) */ + fe.fe25519_sub(&e, b, a) /* E = B-A */ + fe.fe25519_add(&h, b, a) /* H = B+A */ + + fe.fe25519_mul(&c, r.t, qt) /* c = Rt t */ + fe.fe25519_mul(&c, c, ge.ec2d) /* C = Rt t 2 d */ + + fe.fe25519_add(&d, r.z, r.z) /* D = 2 Rz */ + fe.fe25519_sub(&f, d, c) /* F = D-C */ + fe.fe25519_add(&g, d, c) /* G = D+C */ + fe.fe25519_mul(&r.x, e, f) /* Rx = E F */ + fe.fe25519_mul(&r.y, h, g) /* Ry = H G */ + fe.fe25519_mul(&r.z, g, f) /* Rz = G F */ + fe.fe25519_mul(&r.t, e, h) /* Rt = E H */ + } + + // r = p (E coordinates) + q (E coordinates) + private static func add_p1p1(_ r: inout ge.P1P1, _ p: ge, _ q: ge) { + var a = fe() + var b = fe() + var c = fe() + var d = fe() + var t = fe() + + fe.fe25519_sub(&a, p.y, p.x) /* a = y1-x1 */ + fe.fe25519_sub(&t, q.y, q.x) /* t = y2-x2 */ + fe.fe25519_mul(&a, a, t) /* A = (y1-x1)(y2-x2) */ + + fe.fe25519_add(&b, p.x, p.y) /* b = x1+y1 */ + fe.fe25519_add(&t, q.x, q.y) /* t = x2+y2 */ + fe.fe25519_mul(&b, b, t) /* B = (x1+y1)(x2+y2) */ + + fe.fe25519_mul(&c, p.t, q.t) /* c = t1 t2 */ + fe.fe25519_mul(&c, c, ge.ec2d) /* C = t1 t2 2 d */ + + fe.fe25519_mul(&d, p.z, q.z) /* d = z1 z2 */ + fe.fe25519_add(&d, d, d) /* D = 2 z1 z2 */ + + fe.fe25519_sub(&r.e, b, a) /* E = B-A */ + fe.fe25519_sub(&r.f, d, c) /* F = D-C */ + fe.fe25519_add(&r.g, d, c) /* G = D+C */ + fe.fe25519_add(&r.h, b, a) /* H = B+A */ + } + + // r = 2 * p + // projective coordinate doubling + private static func dbl_p1p1(_ r: inout P1P1, _ proj: Proj) { + var a = fe() + var b = fe() + var c = fe() + var d = fe() + fe.fe25519_square(&a, proj.x) /* A = x^2 */ + fe.fe25519_square(&b, proj.y) /* B = y^2 */ + fe.fe25519_square(&c, proj.z) /* c = z^2 */ + fe.fe25519_add(&c, c, c) /* C = 2 z^2 */ + fe.fe25519_neg(&d, a) /* D = - x^2 */ + + fe.fe25519_add(&r.e, proj.x, proj.y) /* e = x+y */ + fe.fe25519_square(&r.e, r.e) /* e = (x+y)^2 */ + fe.fe25519_sub(&r.e, r.e, a) /* e = (x+y)^2 - x^2 */ + fe.fe25519_sub(&r.e, r.e, b) /* E = (x+y)^2 - x^2 - y^2 = 2xy */ + fe.fe25519_add(&r.g, d, b) /* G = - x^2 + y^2 */ + fe.fe25519_sub(&r.f, r.g, c) /* F = - x^2 + y^2 - 2 z^2 */ + fe.fe25519_sub(&r.h, d, b) /* H = - x^2 - y^2 */ + } + + /* Constant-time version of: if(b) r = p */ + private static func cmov_aff(_ r: inout aff, _ p: aff, _ b: UInt8) { + fe.fe25519_cmov(&r.x, p.x, b) + fe.fe25519_cmov(&r.y, p.y, b) + } + + private static func equal(_ b: Int8, _ c: Int8) -> UInt8 { + return b == c ? 1 : 0 + } + + // retval 1: negative + // retval 0: zero or positive + private static func negative(_ b: Int8) -> UInt8 { + return b < 0 ? 1 : 0 + } + + // t: + // pos: + // b: + private static func choose_t(_ t: inout aff, _ pos: Int, _ b: Int8) { + /* constant time */ + var v = fe() + t = ge25519_base_multiples_affine.shared.v[5*pos+0] + cmov_aff(&t, ge25519_base_multiples_affine.shared.v[5*pos+1], equal(b, 1) | equal(b, -1)) + cmov_aff(&t, ge25519_base_multiples_affine.shared.v[5*pos+2], equal(b, 2) | equal(b, -2)) + cmov_aff(&t, ge25519_base_multiples_affine.shared.v[5*pos+3], equal(b, 3) | equal(b, -3)) + cmov_aff(&t, ge25519_base_multiples_affine.shared.v[5*pos+4], equal(b, -4)) + fe.fe25519_neg(&v, t.x) + fe.fe25519_cmov(&t.x, v, negative(b)) + } + + private static func setneutral(_ r: inout ge) { + fe.fe25519_setzero(&r.x) + fe.fe25519_setone(&r.y) + fe.fe25519_setone(&r.z) + fe.fe25519_setzero(&r.t) + } + + /** + * EXPORTED FUNCTIONS + */ + + /* return true on success, false otherwise */ + // @warning result is negated + static func ge25519_unpackneg_vartime(_ r: inout ge, _ p: [UInt8] /* 32 */) -> Bool { + // x^2 = a mod q + // 1) x1 = uv^3 (uv^7)^((q-5)/8) or + // 2) x2 = uv^3 (uv^7)^((q-5)/8) 2^((q-1)/4) + assert(p.count == 32) + var par: UInt8 + var t = fe() + var chk = fe() + var u = fe() + var v = fe() + var den2 = fe() + var den4 = fe() + var den6 = fe() + fe.fe25519_setone(&r.z) + par = p[31] >> 7 + assert(par == 0 || par == 1) + fe.fe25519_unpack(&r.y, p) // parity is omited + fe.fe25519_square(&u, r.y) /* u = y^2 */ + fe.fe25519_mul(&v, u, ge.ecd) /* v = dy^2 */ + fe.fe25519_sub(&u, u, r.z) /* u = y^2-1 */ + fe.fe25519_add(&v, r.z, v) /* v = dy^2+1 */ + + fe.fe25519_square(&den2, v) + fe.fe25519_square(&den4, den2) + fe.fe25519_mul(&den6, den4, den2) + fe.fe25519_mul(&t, den6, u) + fe.fe25519_mul(&t, t, v) + fe.fe25519_pow2523(&t, t) // t = (uv^7)^((q-5)/8) + + fe.fe25519_mul(&t, t, u) // t = u (uv^7)^((q-5)/8) + fe.fe25519_mul(&t, t, v) + fe.fe25519_mul(&t, t, v) + fe.fe25519_mul(&r.x, t, v) // t = uv^3 (uv^7)^((q-5)/8) + + // x^2 = u/v + // x^2 v = u + fe.fe25519_square(&chk, r.x) // (r.x)^2 + fe.fe25519_mul(&chk, chk, v) // v (r.x)^2 + if !fe.fe25519_iseq_vartime(chk, u) { + fe.fe25519_mul(&r.x, r.x, ge.sqrtm1) + } + + /* check (r.x)^2 = u/v */ + fe.fe25519_square(&chk, r.x) + fe.fe25519_mul(&chk, chk, v) + if !fe.fe25519_iseq_vartime(chk, u) { + return false + } + + // @warning negated + if fe.fe25519_getparity(r.x) != (1-par) { + fe.fe25519_neg(&r.x, r.x) + } + + fe.fe25519_mul(&r.t, r.x, r.y) + return true + } + + /// @note result is freezed + static func ge25519_negate(_ r: inout ge) { + fe.fe25519_neg(&r.x, r.x) + fe.fe25519_neg(&r.t, r.t) + } + + static func ge25519_pack(_ r: inout [UInt8] /* 32 or more */, _ p: ge) { + assert(r.count >= 32) + var tx = fe() + var ty = fe() + var zi = fe() + fe.fe25519_invert(&zi, p.z) + fe.fe25519_mul(&tx, p.x, zi) + fe.fe25519_mul(&ty, p.y, zi) + fe.fe25519_pack(&r, ty) + let par: UInt8 = fe.fe25519_getparity(tx) << 7 + r[31] ^= par + } + + static func ge25519_isneutral_vartime(_ p: ge) -> Int32 { + var ret: Int32 = 1 + if !fe.fe25519_iszero(p.x) { + ret = 0 + } + if !fe.fe25519_iseq_vartime(p.y, p.z) { + ret = 0 + } + return ret + } + + // computes s1 * p1 + s2 * p2 + // s means scalar + // p means point + static func ge25519_double_scalarmult_vartime(_ r: inout ge, _ p1: ge, _ s1: sc, _ p2: ge, _ s2: sc) { + var tp1p1 = ge.P1P1() + var pre = [ge](repeating: ge(), count: 16) + + // precomputation + // pre = s1 * p1 + s2 * p2 + // s2 s1 + // 00 00 + ge.setneutral(&pre[0]) + // 00 01 + pre[1] = p1 + // 00 10 + ge.dbl_p1p1(&tp1p1, p1.toProj); ge.p1p1_to_ge(&pre[2], tp1p1) + // 00 11 + ge.add_p1p1(&tp1p1, pre[1], pre[2]); ge.p1p1_to_ge(&pre[3], tp1p1) + // 01 00 + pre[4] = p2 + // 01 01 + ge.add_p1p1(&tp1p1, pre[1], pre[4]); ge.p1p1_to_ge(&pre[5], tp1p1) + // 01 10 + ge.add_p1p1(&tp1p1, pre[2], pre[4]); ge.p1p1_to_ge(&pre[6], tp1p1) + // 01 11 + ge.add_p1p1(&tp1p1, pre[3], pre[4]); ge.p1p1_to_ge(&pre[7], tp1p1) + // 10 00 + ge.dbl_p1p1(&tp1p1, p2.toProj); ge.p1p1_to_ge(&pre[8], tp1p1) + // 10 01 + ge.add_p1p1(&tp1p1, pre[1], pre[8]); ge.p1p1_to_ge(&pre[9], tp1p1) + // 10 10 + ge.dbl_p1p1(&tp1p1, pre[5].toProj); ge.p1p1_to_ge(&pre[10], tp1p1) + // 10 11 + ge.add_p1p1(&tp1p1, pre[3], pre[8]); ge.p1p1_to_ge(&pre[11], tp1p1) + // 11 00 + ge.add_p1p1(&tp1p1, pre[4], pre[8]); ge.p1p1_to_ge(&pre[12], tp1p1) + // 11 01 + ge.add_p1p1(&tp1p1, pre[1], pre[12]); ge.p1p1_to_ge(&pre[13], tp1p1) + // 11 10 + ge.add_p1p1(&tp1p1, pre[2], pre[12]); ge.p1p1_to_ge(&pre[14], tp1p1) + // 11 11 + ge.add_p1p1(&tp1p1, pre[3], pre[12]); ge.p1p1_to_ge(&pre[15], tp1p1) + + var b = [UInt8](repeating: 0, count: 127) + sc.sc25519_2interleave2(&b, s1, s2) + + /* scalar multiplication */ + r = pre[Int(b[126])] + for i in stride(from: 125, through: 0, by: -1) { + ge.dbl_p1p1(&tp1p1, r.toProj) + var t = ge.Proj() + ge.p1p1_to_proj(&t, tp1p1) + r.setFromProj(t) + + ge.dbl_p1p1(&tp1p1, r.toProj) + if b[i] != 0 { + ge.p1p1_to_ge(&r, tp1p1) + ge.add_p1p1(&tp1p1, r, pre[Int(b[i])]) + } + if i != 0 { + var t = ge.Proj() + ge.p1p1_to_proj(&t, tp1p1) + r.setFromProj(t) + } else { + ge.p1p1_to_ge(&r, tp1p1) + } + } + } + + static func ge25519_scalarmult_base(_ r: inout ge, _ s: sc) { + var b = [Int8](repeating: 0, count: 85) + var t = ge.aff() + sc.sc25519_window3(&b, s) + + var tmpaff: aff = ge.aff() + ge.choose_t(&tmpaff, 0, b[0]) + r.x = tmpaff.x + r.y = tmpaff.y + + fe.fe25519_setone(&r.z) + fe.fe25519_mul(&r.t, r.x, r.y) + for i in 1..<85 { + ge.choose_t(&t, i, b[i]) + ge.ge25519_mixadd2(&r, t) + } + } + + private class ge25519_base_multiples_affine { + public var v: [aff] = [] + static let shared = ge25519_base_multiples_affine() + + /* Multiples of the base point in affine representation */ + // 425 = 85 * 5 + private init() { + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x1a, 0xd5, 0x25, 0x8f, 0x60, 0x2d, 0x56, 0xc9, 0xb2, 0xa7, 0x25, 0x95, 0x60, 0xc7, 0x2c, 0x69, + 0x5c, 0xdc, 0xd6, 0xfd, 0x31, 0xe2, 0xa4, 0xc0, 0xfe, 0x53, 0x6e, 0xcd, 0xd3, 0x36, 0x69, 0x21]), + fe([0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, + 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66])) + ) + v.append( + aff(fe([0x0e, 0xce, 0x43, 0x28, 0x4e, 0xa1, 0xc5, 0x83, 0x5f, 0xa4, 0xd7, 0x15, 0x45, 0x8e, 0x0d, 0x08, + 0xac, 0xe7, 0x33, 0x18, 0x7d, 0x3b, 0x04, 0x3d, 0x6c, 0x04, 0x5a, 0x9f, 0x4c, 0x38, 0xab, 0x36]), + fe([0xc9, 0xa3, 0xf8, 0x6a, 0xae, 0x46, 0x5f, 0x0e, 0x56, 0x51, 0x38, 0x64, 0x51, 0x0f, 0x39, 0x97, + 0x56, 0x1f, 0xa2, 0xc9, 0xe8, 0x5e, 0xa2, 0x1d, 0xc2, 0x29, 0x23, 0x09, 0xf3, 0xcd, 0x60, 0x22])) + ) + v.append( + aff(fe([0x5c, 0xe2, 0xf8, 0xd3, 0x5f, 0x48, 0x62, 0xac, 0x86, 0x48, 0x62, 0x81, 0x19, 0x98, 0x43, 0x63, + 0x3a, 0xc8, 0xda, 0x3e, 0x74, 0xae, 0xf4, 0x1f, 0x49, 0x8f, 0x92, 0x22, 0x4a, 0x9c, 0xae, 0x67]) , + fe([0xd4, 0xb4, 0xf5, 0x78, 0x48, 0x68, 0xc3, 0x02, 0x04, 0x03, 0x24, 0x67, 0x17, 0xec, 0x16, 0x9f, + 0xf7, 0x9e, 0x26, 0x60, 0x8e, 0xa1, 0x26, 0xa1, 0xab, 0x69, 0xee, 0x77, 0xd1, 0xb1, 0x67, 0x12])) + ) + v.append( + aff(fe([0x70, 0xf8, 0xc9, 0xc4, 0x57, 0xa6, 0x3a, 0x49, 0x47, 0x15, 0xce, 0x93, 0xc1, 0x9e, 0x73, 0x1a, + 0xf9, 0x20, 0x35, 0x7a, 0xb8, 0xd4, 0x25, 0x83, 0x46, 0xf1, 0xcf, 0x56, 0xdb, 0xa8, 0x3d, 0x20]) , + fe([0x2f, 0x11, 0x32, 0xca, 0x61, 0xab, 0x38, 0xdf, 0xf0, 0x0f, 0x2f, 0xea, 0x32, 0x28, 0xf2, 0x4c, + 0x6c, 0x71, 0xd5, 0x80, 0x85, 0xb8, 0x0e, 0x47, 0xe1, 0x95, 0x15, 0xcb, 0x27, 0xe8, 0xd0, 0x47])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xc8, 0x84, 0xa5, 0x08, 0xbc, 0xfd, 0x87, 0x3b, 0x99, 0x8b, 0x69, 0x80, 0x7b, 0xc6, 0x3a, 0xeb, + 0x93, 0xcf, 0x4e, 0xf8, 0x5c, 0x2d, 0x86, 0x42, 0xb6, 0x71, 0xd7, 0x97, 0x5f, 0xe1, 0x42, 0x67]) , + fe([0xb4, 0xb9, 0x37, 0xfc, 0xa9, 0x5b, 0x2f, 0x1e, 0x93, 0xe4, 0x1e, 0x62, 0xfc, 0x3c, 0x78, 0x81, + 0x8f, 0xf3, 0x8a, 0x66, 0x09, 0x6f, 0xad, 0x6e, 0x79, 0x73, 0xe5, 0xc9, 0x00, 0x06, 0xd3, 0x21])) + ) + v.append( + aff(fe([0xf8, 0xf9, 0x28, 0x6c, 0x6d, 0x59, 0xb2, 0x59, 0x74, 0x23, 0xbf, 0xe7, 0x33, 0x8d, 0x57, 0x09, + 0x91, 0x9c, 0x24, 0x08, 0x15, 0x2b, 0xe2, 0xb8, 0xee, 0x3a, 0xe5, 0x27, 0x06, 0x86, 0xa4, 0x23]) , + fe([0xeb, 0x27, 0x67, 0xc1, 0x37, 0xab, 0x7a, 0xd8, 0x27, 0x9c, 0x07, 0x8e, 0xff, 0x11, 0x6a, 0xb0, + 0x78, 0x6e, 0xad, 0x3a, 0x2e, 0x0f, 0x98, 0x9f, 0x72, 0xc3, 0x7f, 0x82, 0xf2, 0x96, 0x96, 0x70])) + ) + v.append( + aff(fe([0x81, 0x6b, 0x88, 0xe8, 0x1e, 0xc7, 0x77, 0x96, 0x0e, 0xa1, 0xa9, 0x52, 0xe0, 0xd8, 0x0e, 0x61, + 0x9e, 0x79, 0x2d, 0x95, 0x9c, 0x8d, 0x96, 0xe0, 0x06, 0x40, 0x5d, 0x87, 0x28, 0x5f, 0x98, 0x70]) , + fe([0xf1, 0x79, 0x7b, 0xed, 0x4f, 0x44, 0xb2, 0xe7, 0x08, 0x0d, 0xc2, 0x08, 0x12, 0xd2, 0x9f, 0xdf, + 0xcd, 0x93, 0x20, 0x8a, 0xcf, 0x33, 0xca, 0x6d, 0x89, 0xb9, 0x77, 0xc8, 0x93, 0x1b, 0x4e, 0x60])) + ) + v.append( + aff(fe([0x26, 0x4f, 0x7e, 0x97, 0xf6, 0x40, 0xdd, 0x4f, 0xfc, 0x52, 0x78, 0xf9, 0x90, 0x31, 0x03, 0xe6, + 0x7d, 0x56, 0x39, 0x0b, 0x1d, 0x56, 0x82, 0x85, 0xf9, 0x1a, 0x42, 0x17, 0x69, 0x6c, 0xcf, 0x39]) , + fe([0x69, 0xd2, 0x06, 0x3a, 0x4f, 0x39, 0x2d, 0xf9, 0x38, 0x40, 0x8c, 0x4c, 0xe7, 0x05, 0x12, 0xb4, + 0x78, 0x8b, 0xf8, 0xc0, 0xec, 0x93, 0xde, 0x7a, 0x6b, 0xce, 0x2c, 0xe1, 0x0e, 0xa9, 0x34, 0x44])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x0b, 0xa4, 0x3c, 0xb0, 0x0f, 0x7a, 0x51, 0xf1, 0x78, 0xd6, 0xd9, 0x6a, 0xfd, 0x46, 0xe8, 0xb8, + 0xa8, 0x79, 0x1d, 0x87, 0xf9, 0x90, 0xf2, 0x9c, 0x13, 0x29, 0xf8, 0x0b, 0x20, 0x64, 0xfa, 0x05]) , + fe([0x26, 0x09, 0xda, 0x17, 0xaf, 0x95, 0xd6, 0xfb, 0x6a, 0x19, 0x0d, 0x6e, 0x5e, 0x12, 0xf1, 0x99, + 0x4c, 0xaa, 0xa8, 0x6f, 0x79, 0x86, 0xf4, 0x72, 0x28, 0x00, 0x26, 0xf9, 0xea, 0x9e, 0x19, 0x3d])) + ) + v.append( + aff(fe([0x87, 0xdd, 0xcf, 0xf0, 0x5b, 0x49, 0xa2, 0x5d, 0x40, 0x7a, 0x23, 0x26, 0xa4, 0x7a, 0x83, 0x8a, + 0xb7, 0x8b, 0xd2, 0x1a, 0xbf, 0xea, 0x02, 0x24, 0x08, 0x5f, 0x7b, 0xa9, 0xb1, 0xbe, 0x9d, 0x37]) , + fe([0xfc, 0x86, 0x4b, 0x08, 0xee, 0xe7, 0xa0, 0xfd, 0x21, 0x45, 0x09, 0x34, 0xc1, 0x61, 0x32, 0x23, + 0xfc, 0x9b, 0x55, 0x48, 0x53, 0x99, 0xf7, 0x63, 0xd0, 0x99, 0xce, 0x01, 0xe0, 0x9f, 0xeb, 0x28])) + ) + v.append( + aff(fe([0x47, 0xfc, 0xab, 0x5a, 0x17, 0xf0, 0x85, 0x56, 0x3a, 0x30, 0x86, 0x20, 0x28, 0x4b, 0x8e, 0x44, + 0x74, 0x3a, 0x6e, 0x02, 0xf1, 0x32, 0x8f, 0x9f, 0x3f, 0x08, 0x35, 0xe9, 0xca, 0x16, 0x5f, 0x6e]) , + fe([0x1c, 0x59, 0x1c, 0x65, 0x5d, 0x34, 0xa4, 0x09, 0xcd, 0x13, 0x9c, 0x70, 0x7d, 0xb1, 0x2a, 0xc5, + 0x88, 0xaf, 0x0b, 0x60, 0xc7, 0x9f, 0x34, 0x8d, 0xd6, 0xb7, 0x7f, 0xea, 0x78, 0x65, 0x8d, 0x77])) + ) + v.append( + aff(fe([0x56, 0xa5, 0xc2, 0x0c, 0xdd, 0xbc, 0xb8, 0x20, 0x6d, 0x57, 0x61, 0xb5, 0xfb, 0x78, 0xb5, 0xd4, + 0x49, 0x54, 0x90, 0x26, 0xc1, 0xcb, 0xe9, 0xe6, 0xbf, 0xec, 0x1d, 0x4e, 0xed, 0x07, 0x7e, 0x5e]) , + fe([0xc7, 0xf6, 0x6c, 0x56, 0x31, 0x20, 0x14, 0x0e, 0xa8, 0xd9, 0x27, 0xc1, 0x9a, 0x3d, 0x1b, 0x7d, + 0x0e, 0x26, 0xd3, 0x81, 0xaa, 0xeb, 0xf5, 0x6b, 0x79, 0x02, 0xf1, 0x51, 0x5c, 0x75, 0x55, 0x0f])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x0a, 0x34, 0xcd, 0x82, 0x3c, 0x33, 0x09, 0x54, 0xd2, 0x61, 0x39, 0x30, 0x9b, 0xfd, 0xef, 0x21, + 0x26, 0xd4, 0x70, 0xfa, 0xee, 0xf9, 0x31, 0x33, 0x73, 0x84, 0xd0, 0xb3, 0x81, 0xbf, 0xec, 0x2e]) , + fe([0xe8, 0x93, 0x8b, 0x00, 0x64, 0xf7, 0x9c, 0xb8, 0x74, 0xe0, 0xe6, 0x49, 0x48, 0x4d, 0x4d, 0x48, + 0xb6, 0x19, 0xa1, 0x40, 0xb7, 0xd9, 0x32, 0x41, 0x7c, 0x82, 0x37, 0xa1, 0x2d, 0xdc, 0xd2, 0x54])) + ) + v.append( + aff(fe([0x68, 0x2b, 0x4a, 0x5b, 0xd5, 0xc7, 0x51, 0x91, 0x1d, 0xe1, 0x2a, 0x4b, 0xc4, 0x47, 0xf1, 0xbc, + 0x7a, 0xb3, 0xcb, 0xc8, 0xb6, 0x7c, 0xac, 0x90, 0x05, 0xfd, 0xf3, 0xf9, 0x52, 0x3a, 0x11, 0x6b]) , + fe([0x3d, 0xc1, 0x27, 0xf3, 0x59, 0x43, 0x95, 0x90, 0xc5, 0x96, 0x79, 0xf5, 0xf4, 0x95, 0x65, 0x29, + 0x06, 0x9c, 0x51, 0x05, 0x18, 0xda, 0xb8, 0x2e, 0x79, 0x7e, 0x69, 0x59, 0x71, 0x01, 0xeb, 0x1a])) + ) + v.append( + aff(fe([0x15, 0x06, 0x49, 0xb6, 0x8a, 0x3c, 0xea, 0x2f, 0x34, 0x20, 0x14, 0xc3, 0xaa, 0xd6, 0xaf, 0x2c, + 0x3e, 0xbd, 0x65, 0x20, 0xe2, 0x4d, 0x4b, 0x3b, 0xeb, 0x9f, 0x4a, 0xc3, 0xad, 0xa4, 0x3b, 0x60]) , + fe([0xbc, 0x58, 0xe6, 0xc0, 0x95, 0x2a, 0x2a, 0x81, 0x9a, 0x7a, 0xf3, 0xd2, 0x06, 0xbe, 0x48, 0xbc, + 0x0c, 0xc5, 0x46, 0xe0, 0x6a, 0xd4, 0xac, 0x0f, 0xd9, 0xcc, 0x82, 0x34, 0x2c, 0xaf, 0xdb, 0x1f])) + ) + v.append( + aff(fe([0xf7, 0x17, 0x13, 0xbd, 0xfb, 0xbc, 0xd2, 0xec, 0x45, 0xb3, 0x15, 0x31, 0xe9, 0xaf, 0x82, 0x84, + 0x3d, 0x28, 0xc6, 0xfc, 0x11, 0xf5, 0x41, 0xb5, 0x8b, 0xd3, 0x12, 0x76, 0x52, 0xe7, 0x1a, 0x3c]) , + fe([0x4e, 0x36, 0x11, 0x07, 0xa2, 0x15, 0x20, 0x51, 0xc4, 0x2a, 0xc3, 0x62, 0x8b, 0x5e, 0x7f, 0xa6, + 0x0f, 0xf9, 0x45, 0x85, 0x6c, 0x11, 0x86, 0xb7, 0x7e, 0xe5, 0xd7, 0xf9, 0xc3, 0x91, 0x1c, 0x05])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xea, 0xd6, 0xde, 0x29, 0x3a, 0x00, 0xb9, 0x02, 0x59, 0xcb, 0x26, 0xc4, 0xba, 0x99, 0xb1, 0x97, + 0x2f, 0x8e, 0x00, 0x92, 0x26, 0x4f, 0x52, 0xeb, 0x47, 0x1b, 0x89, 0x8b, 0x24, 0xc0, 0x13, 0x7d]) , + fe([0xd5, 0x20, 0x5b, 0x80, 0xa6, 0x80, 0x20, 0x95, 0xc3, 0xe9, 0x9f, 0x8e, 0x87, 0x9e, 0x1e, 0x9e, + 0x7a, 0xc7, 0xcc, 0x75, 0x6c, 0xa5, 0xf1, 0x91, 0x1a, 0xa8, 0x01, 0x2c, 0xab, 0x76, 0xa9, 0x59])) + ) + v.append( + aff(fe([0xde, 0xc9, 0xb1, 0x31, 0x10, 0x16, 0xaa, 0x35, 0x14, 0x6a, 0xd4, 0xb5, 0x34, 0x82, 0x71, 0xd2, + 0x4a, 0x5d, 0x9a, 0x1f, 0x53, 0x26, 0x3c, 0xe5, 0x8e, 0x8d, 0x33, 0x7f, 0xff, 0xa9, 0xd5, 0x17]) , + fe([0x89, 0xaf, 0xf6, 0xa4, 0x64, 0xd5, 0x10, 0xe0, 0x1d, 0xad, 0xef, 0x44, 0xbd, 0xda, 0x83, 0xac, + 0x7a, 0xa8, 0xf0, 0x1c, 0x07, 0xf9, 0xc3, 0x43, 0x6c, 0x3f, 0xb7, 0xd3, 0x87, 0x22, 0x02, 0x73])) + ) + v.append( + aff(fe([0x64, 0x1d, 0x49, 0x13, 0x2f, 0x71, 0xec, 0x69, 0x87, 0xd0, 0x42, 0xee, 0x13, 0xec, 0xe3, 0xed, + 0x56, 0x7b, 0xbf, 0xbd, 0x8c, 0x2f, 0x7d, 0x7b, 0x9d, 0x28, 0xec, 0x8e, 0x76, 0x2f, 0x6f, 0x08]) , + fe([0x22, 0xf5, 0x5f, 0x4d, 0x15, 0xef, 0xfc, 0x4e, 0x57, 0x03, 0x36, 0x89, 0xf0, 0xeb, 0x5b, 0x91, + 0xd6, 0xe2, 0xca, 0x01, 0xa5, 0xee, 0x52, 0xec, 0xa0, 0x3c, 0x8f, 0x33, 0x90, 0x5a, 0x94, 0x72])) + ) + v.append( + aff(fe([0x8a, 0x4b, 0xe7, 0x38, 0xbc, 0xda, 0xc2, 0xb0, 0x85, 0xe1, 0x4a, 0xfe, 0x2d, 0x44, 0x84, 0xcb, + 0x20, 0x6b, 0x2d, 0xbf, 0x11, 0x9c, 0xd7, 0xbe, 0xd3, 0x3e, 0x5f, 0xbf, 0x68, 0xbc, 0xa8, 0x07]) , + fe([0x01, 0x89, 0x28, 0x22, 0x6a, 0x78, 0xaa, 0x29, 0x03, 0xc8, 0x74, 0x95, 0x03, 0x3e, 0xdc, 0xbd, + 0x07, 0x13, 0xa8, 0xa2, 0x20, 0x2d, 0xb3, 0x18, 0x70, 0x42, 0xfd, 0x7a, 0xc4, 0xd7, 0x49, 0x72])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x02, 0xff, 0x32, 0x2b, 0x5c, 0x93, 0x54, 0x32, 0xe8, 0x57, 0x54, 0x1a, 0x8b, 0x33, 0x60, 0x65, + 0xd3, 0x67, 0xa4, 0xc1, 0x26, 0xc4, 0xa4, 0x34, 0x1f, 0x9b, 0xa7, 0xa9, 0xf4, 0xd9, 0x4f, 0x5b]) , + fe([0x46, 0x8d, 0xb0, 0x33, 0x54, 0x26, 0x5b, 0x68, 0xdf, 0xbb, 0xc5, 0xec, 0xc2, 0xf9, 0x3c, 0x5a, + 0x37, 0xc1, 0x8e, 0x27, 0x47, 0xaa, 0x49, 0x5a, 0xf8, 0xfb, 0x68, 0x04, 0x23, 0xd1, 0xeb, 0x40])) + ) + v.append( + aff(fe([0x65, 0xa5, 0x11, 0x84, 0x8a, 0x67, 0x9d, 0x9e, 0xd1, 0x44, 0x68, 0x7a, 0x34, 0xe1, 0x9f, 0xa3, + 0x54, 0xcd, 0x07, 0xca, 0x79, 0x1f, 0x54, 0x2f, 0x13, 0x70, 0x4e, 0xee, 0xa2, 0xfa, 0xe7, 0x5d]) , + fe([0x36, 0xec, 0x54, 0xf8, 0xce, 0xe4, 0x85, 0xdf, 0xf6, 0x6f, 0x1d, 0x90, 0x08, 0xbc, 0xe8, 0xc0, + 0x92, 0x2d, 0x43, 0x6b, 0x92, 0xa9, 0x8e, 0xab, 0x0a, 0x2e, 0x1c, 0x1e, 0x64, 0x23, 0x9f, 0x2c])) + ) + v.append( + aff(fe([0xa7, 0xd6, 0x2e, 0xd5, 0xcc, 0xd4, 0xcb, 0x5a, 0x3b, 0xa7, 0xf9, 0x46, 0x03, 0x1d, 0xad, 0x2b, + 0x34, 0x31, 0x90, 0x00, 0x46, 0x08, 0x82, 0x14, 0xc4, 0xe0, 0x9c, 0xf0, 0xe3, 0x55, 0x43, 0x31]) , + fe([0x60, 0xd6, 0xdd, 0x78, 0xe6, 0xd4, 0x22, 0x42, 0x1f, 0x00, 0xf9, 0xb1, 0x6a, 0x63, 0xe2, 0x92, + 0x59, 0xd1, 0x1a, 0xb7, 0x00, 0x54, 0x29, 0xc9, 0xc1, 0xf6, 0x6f, 0x7a, 0xc5, 0x3c, 0x5f, 0x65])) + ) + v.append( + aff(fe([0x27, 0x4f, 0xd0, 0x72, 0xb1, 0x11, 0x14, 0x27, 0x15, 0x94, 0x48, 0x81, 0x7e, 0x74, 0xd8, 0x32, + 0xd5, 0xd1, 0x11, 0x28, 0x60, 0x63, 0x36, 0x32, 0x37, 0xb5, 0x13, 0x1c, 0xa0, 0x37, 0xe3, 0x74]) , + fe([0xf1, 0x25, 0x4e, 0x11, 0x96, 0x67, 0xe6, 0x1c, 0xc2, 0xb2, 0x53, 0xe2, 0xda, 0x85, 0xee, 0xb2, + 0x9f, 0x59, 0xf3, 0xba, 0xbd, 0xfa, 0xcf, 0x6e, 0xf9, 0xda, 0xa4, 0xb3, 0x02, 0x8f, 0x64, 0x08])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x34, 0x94, 0xf2, 0x64, 0x54, 0x47, 0x37, 0x07, 0x40, 0x8a, 0x20, 0xba, 0x4a, 0x55, 0xd7, 0x3f, + 0x47, 0xba, 0x25, 0x23, 0x14, 0xb0, 0x2c, 0xe8, 0x55, 0xa8, 0xa6, 0xef, 0x51, 0xbd, 0x6f, 0x6a]) , + fe([0x71, 0xd6, 0x16, 0x76, 0xb2, 0x06, 0xea, 0x79, 0xf5, 0xc4, 0xc3, 0x52, 0x7e, 0x61, 0xd1, 0xe1, + 0xad, 0x70, 0x78, 0x1d, 0x16, 0x11, 0xf8, 0x7c, 0x2b, 0xfc, 0x55, 0x9f, 0x52, 0xf8, 0xf5, 0x16])) + ) + v.append( + aff(fe([0x34, 0x96, 0x9a, 0xf6, 0xc5, 0xe0, 0x14, 0x03, 0x24, 0x0e, 0x4c, 0xad, 0x9e, 0x9a, 0x70, 0x23, + 0x96, 0xb2, 0xf1, 0x2e, 0x9d, 0xc3, 0x32, 0x9b, 0x54, 0xa5, 0x73, 0xde, 0x88, 0xb1, 0x3e, 0x24]) , + fe([0xf6, 0xe2, 0x4c, 0x1f, 0x5b, 0xb2, 0xaf, 0x82, 0xa5, 0xcf, 0x81, 0x10, 0x04, 0xef, 0xdb, 0xa2, + 0xcc, 0x24, 0xb2, 0x7e, 0x0b, 0x7a, 0xeb, 0x01, 0xd8, 0x52, 0xf4, 0x51, 0x89, 0x29, 0x79, 0x37])) + ) + v.append( + aff(fe([0x74, 0xde, 0x12, 0xf3, 0x68, 0xb7, 0x66, 0xc3, 0xee, 0x68, 0xdc, 0x81, 0xb5, 0x55, 0x99, 0xab, + 0xd9, 0x28, 0x63, 0x6d, 0x8b, 0x40, 0x69, 0x75, 0x6c, 0xcd, 0x5c, 0x2a, 0x7e, 0x32, 0x7b, 0x29]) , + fe([0x02, 0xcc, 0x22, 0x74, 0x4d, 0x19, 0x07, 0xc0, 0xda, 0xb5, 0x76, 0x51, 0x2a, 0xaa, 0xa6, 0x0a, + 0x5f, 0x26, 0xd4, 0xbc, 0xaf, 0x48, 0x88, 0x7f, 0x02, 0xbc, 0xf2, 0xe1, 0xcf, 0xe9, 0xdd, 0x15])) + ) + v.append( + aff(fe([0xed, 0xb5, 0x9a, 0x8c, 0x9a, 0xdd, 0x27, 0xf4, 0x7f, 0x47, 0xd9, 0x52, 0xa7, 0xcd, 0x65, 0xa5, + 0x31, 0x22, 0xed, 0xa6, 0x63, 0x5b, 0x80, 0x4a, 0xad, 0x4d, 0xed, 0xbf, 0xee, 0x49, 0xb3, 0x06]) , + fe([0xf8, 0x64, 0x8b, 0x60, 0x90, 0xe9, 0xde, 0x44, 0x77, 0xb9, 0x07, 0x36, 0x32, 0xc2, 0x50, 0xf5, + 0x65, 0xdf, 0x48, 0x4c, 0x37, 0xaa, 0x68, 0xab, 0x9a, 0x1f, 0x3e, 0xff, 0x89, 0x92, 0xa0, 0x07])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x7d, 0x4f, 0x9c, 0x19, 0xc0, 0x4a, 0x31, 0xec, 0xf9, 0xaa, 0xeb, 0xb2, 0x16, 0x9c, 0xa3, 0x66, + 0x5f, 0xd1, 0xd4, 0xed, 0xb8, 0x92, 0x1c, 0xab, 0xda, 0xea, 0xd9, 0x57, 0xdf, 0x4c, 0x2a, 0x48]) , + fe([0x4b, 0xb0, 0x4e, 0x6e, 0x11, 0x3b, 0x51, 0xbd, 0x6a, 0xfd, 0xe4, 0x25, 0xa5, 0x5f, 0x11, 0x3f, + 0x98, 0x92, 0x51, 0x14, 0xc6, 0x5f, 0x3c, 0x0b, 0xa8, 0xf7, 0xc2, 0x81, 0x43, 0xde, 0x91, 0x73])) + ) + v.append( + aff(fe([0x3c, 0x8f, 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0x71, 0xc5, 0x5d, 0xc8, 0xaf, 0x45]) , + fe([0x40, 0x7b, 0x77, 0x57, 0x49, 0x9e, 0x80, 0x39, 0x23, 0xee, 0x81, 0x0b, 0x22, 0xcf, 0xdb, 0x7a, + 0x2f, 0x14, 0xb8, 0x57, 0x8f, 0xa1, 0x39, 0x1e, 0x77, 0xfc, 0x0b, 0xa6, 0xbf, 0x8a, 0x0c, 0x6c])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x77, 0x3a, 0xd4, 0xd8, 0x27, 0xcf, 0xe8, 0xa1, 0x72, 0x9d, 0xca, 0xdd, 0x0d, 0x96, 0xda, 0x79, + 0xed, 0x56, 0x42, 0x15, 0x60, 0xc7, 0x1c, 0x6b, 0x26, 0x30, 0xf6, 0x6a, 0x95, 0x67, 0xf3, 0x0a]) , + fe([0xc5, 0x08, 0xa4, 0x2b, 0x2f, 0xbd, 0x31, 0x81, 0x2a, 0xa6, 0xb6, 0xe4, 0x00, 0x91, 0xda, 0x3d, + 0xb2, 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0xea, 0x29]) , + fe([0x05, 0x90, 0x50, 0xaf, 0x63, 0x5f, 0x9d, 0x9e, 0xe1, 0x9d, 0x38, 0x97, 0x1f, 0x6c, 0xac, 0x30, + 0x46, 0xb2, 0x6a, 0x19, 0xd1, 0x4b, 0xdb, 0xbb, 0x8c, 0xda, 0x2e, 0xab, 0xc8, 0x5a, 0x77, 0x6c])) + ) + v.append( + aff(fe([0x2b, 0xbe, 0xaf, 0xa1, 0x6d, 0x2f, 0x0b, 0xb1, 0x8f, 0xe3, 0xe0, 0x38, 0xcd, 0x0b, 0x41, 0x1b, + 0x4a, 0x15, 0x07, 0xf3, 0x6f, 0xdc, 0xb8, 0xe9, 0xde, 0xb2, 0xa3, 0x40, 0x01, 0xa6, 0x45, 0x1e]) , + fe([0x76, 0x0a, 0xda, 0x8d, 0x2c, 0x07, 0x3f, 0x89, 0x7d, 0x04, 0xad, 0x43, 0x50, 0x6e, 0xd2, 0x47, + 0xcb, 0x8a, 0xe6, 0x85, 0x1a, 0x24, 0xf3, 0xd2, 0x60, 0xfd, 0xdf, 0x73, 0xa4, 0x0d, 0x73, 0x0e])) + ) + v.append( + aff(fe([0xfd, 0x67, 0x6b, 0x71, 0x9b, 0x81, 0x53, 0x39, 0x39, 0xf4, 0xb8, 0xd5, 0xc3, 0x30, 0x9b, 0x3b, + 0x7c, 0xa3, 0xf0, 0xd0, 0x84, 0x21, 0xd6, 0xbf, 0xb7, 0x4c, 0x87, 0x13, 0x45, 0x2d, 0xa7, 0x55]) , + fe([0x5d, 0x04, 0xb3, 0x40, 0x28, 0x95, 0x2d, 0x30, 0x83, 0xec, 0x5e, 0xe4, 0xff, 0x75, 0xfe, 0x79, + 0x26, 0x9d, 0x1d, 0x36, 0xcd, 0x0a, 0x15, 0xd2, 0x24, 0x14, 0x77, 0x71, 0xd7, 0x8a, 0x1b, 0x04])) + ) + v.append( + aff(fe([0x5d, 0x93, 0xc9, 0xbe, 0xaa, 0x90, 0xcd, 0x9b, 0xfb, 0x73, 0x7e, 0xb0, 0x64, 0x98, 0x57, 0x44, + 0x42, 0x41, 0xb1, 0xaf, 0xea, 0xc1, 0xc3, 0x22, 0xff, 0x60, 0x46, 0xcb, 0x61, 0x81, 0x70, 0x61]) , + fe([0x0d, 0x82, 0xb9, 0xfe, 0x21, 0xcd, 0xc4, 0xf5, 0x98, 0x0c, 0x4e, 0x72, 0xee, 0x87, 0x49, 0xf8, + 0xa1, 0x95, 0xdf, 0x8f, 0x2d, 0xbd, 0x21, 0x06, 0x7c, 0x15, 0xe8, 0x12, 0x6d, 0x93, 0xd6, 0x38])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x91, 0xf7, 0x51, 0xd9, 0xef, 0x7d, 0x42, 0x01, 0x13, 0xe9, 0xb8, 0x7f, 0xa6, 0x49, 0x17, 0x64, + 0x21, 0x80, 0x83, 0x2c, 0x63, 0x4c, 0x60, 0x09, 0x59, 0x91, 0x92, 0x77, 0x39, 0x51, 0xf4, 0x48]) , + fe([0x60, 0xd5, 0x22, 0x83, 0x08, 0x2f, 0xff, 0x99, 0x3e, 0x69, 0x6d, 0x88, 0xda, 0xe7, 0x5b, 0x52, + 0x26, 0x31, 0x2a, 0xe5, 0x89, 0xde, 0x68, 0x90, 0xb6, 0x22, 0x5a, 0xbd, 0xd3, 0x85, 0x53, 0x31])) + ) + v.append( + aff(fe([0xd8, 0xce, 0xdc, 0xf9, 0x3c, 0x4b, 0xa2, 0x1d, 0x2c, 0x2f, 0x36, 0xbe, 0x7a, 0xfc, 0xcd, 0xbc, + 0xdc, 0xf9, 0x30, 0xbd, 0xff, 0x05, 0xc7, 0xe4, 0x8e, 0x17, 0x62, 0xf8, 0x4d, 0xa0, 0x56, 0x79]) , + fe([0x82, 0xe7, 0xf6, 0xba, 0x53, 0x84, 0x0a, 0xa3, 0x34, 0xff, 0x3c, 0xa3, 0x6a, 0xa1, 0x37, 0xea, + 0xdd, 0xb6, 0x95, 0xb3, 0x78, 0x19, 0x76, 0x1e, 0x55, 0x2f, 0x77, 0x2e, 0x7f, 0xc1, 0xea, 0x5e])) + ) + v.append( + aff(fe([0x83, 0xe1, 0x6e, 0xa9, 0x07, 0x33, 0x3e, 0x83, 0xff, 0xcb, 0x1c, 0x9f, 0xb1, 0xa3, 0xb4, 0xc9, + 0xe1, 0x07, 0x97, 0xff, 0xf8, 0x23, 0x8f, 0xce, 0x40, 0xfd, 0x2e, 0x5e, 0xdb, 0x16, 0x43, 0x2d]) , + fe([0xba, 0x38, 0x02, 0xf7, 0x81, 0x43, 0x83, 0xa3, 0x20, 0x4f, 0x01, 0x3b, 0x8a, 0x04, 0x38, 0x31, + 0xc6, 0x0f, 0xc8, 0xdf, 0xd7, 0xfa, 0x2f, 0x88, 0x3f, 0xfc, 0x0c, 0x76, 0xc4, 0xa6, 0x45, 0x72])) + ) + v.append( + aff(fe([0xbb, 0x0c, 0xbc, 0x6a, 0xa4, 0x97, 0x17, 0x93, 0x2d, 0x6f, 0xde, 0x72, 0x10, 0x1c, 0x08, 0x2c, + 0x0f, 0x80, 0x32, 0x68, 0x27, 0xd4, 0xab, 0xdd, 0xc5, 0x58, 0x61, 0x13, 0x6d, 0x11, 0x1e, 0x4d]) , + fe([0x1a, 0xb9, 0xc9, 0x10, 0xfb, 0x1e, 0x4e, 0xf4, 0x84, 0x4b, 0x8a, 0x5e, 0x7b, 0x4b, 0xe8, 0x43, + 0x8c, 0x8f, 0x00, 0xb5, 0x54, 0x13, 0xc5, 0x5c, 0xb6, 0x35, 0x4e, 0x9d, 0xe4, 0x5b, 0x41, 0x6d])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x15, 0x7d, 0x12, 0x48, 0x82, 0x14, 0x42, 0xcd, 0x32, 0xd4, 0x4b, 0xc1, 0x72, 0x61, 0x2a, 0x8c, + 0xec, 0xe2, 0xf8, 0x24, 0x45, 0x94, 0xe3, 0xbe, 0xdd, 0x67, 0xa8, 0x77, 0x5a, 0xae, 0x5b, 0x4b]) , + fe([0xcb, 0x77, 0x9a, 0x20, 0xde, 0xb8, 0x23, 0xd9, 0xa0, 0x0f, 0x8c, 0x7b, 0xa5, 0xcb, 0xae, 0xb6, + 0xec, 0x42, 0x67, 0x0e, 0x58, 0xa4, 0x75, 0x98, 0x21, 0x71, 0x84, 0xb3, 0xe0, 0x76, 0x94, 0x73])) + ) + v.append( + aff(fe([0xdf, 0xfc, 0x69, 0x28, 0x23, 0x3f, 0x5b, 0xf8, 0x3b, 0x24, 0x37, 0xf3, 0x1d, 0xd5, 0x22, 0x6b, + 0xd0, 0x98, 0xa8, 0x6c, 0xcf, 0xff, 0x06, 0xe1, 0x13, 0xdf, 0xb9, 0xc1, 0x0c, 0xa9, 0xbf, 0x33]) , + fe([0xd9, 0x81, 0xda, 0xb2, 0x4f, 0x82, 0x9d, 0x43, 0x81, 0x09, 0xf1, 0xd2, 0x01, 0xef, 0xac, 0xf4, + 0x2d, 0x7d, 0x01, 0x09, 0xf1, 0xff, 0xa5, 0x9f, 0xe5, 0xca, 0x27, 0x63, 0xdb, 0x20, 0xb1, 0x53])) + ) + v.append( + aff(fe([0x67, 0x02, 0xe8, 0xad, 0xa9, 0x34, 0xd4, 0xf0, 0x15, 0x81, 0xaa, 0xc7, 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0xff, 0x9f, 0xa5, 0x30, 0x17])) + ) + v.append( + aff(fe([0xe3, 0xae, 0xc8, 0xc1, 0x71, 0x75, 0x31, 0x00, 0x37, 0x41, 0x5c, 0x0e, 0x39, 0xda, 0x73, 0xa0, + 0xc7, 0x97, 0x36, 0x6c, 0x5b, 0xf2, 0xee, 0x64, 0x0a, 0x3d, 0x89, 0x1e, 0x1d, 0x49, 0x8c, 0x37]) , + fe([0x4c, 0xe6, 0xb0, 0xc1, 0xa5, 0x2a, 0x82, 0x09, 0x08, 0xad, 0x79, 0x9c, 0x56, 0xf6, 0xf9, 0xc1, + 0xd7, 0x7c, 0x39, 0x7f, 0x93, 0xca, 0x11, 0x55, 0xbf, 0x07, 0x1b, 0x82, 0x29, 0x69, 0x95, 0x5c])) + ) + v.append( + aff(fe([0x87, 0xee, 0xa6, 0x56, 0x9e, 0xc2, 0x9a, 0x56, 0x24, 0x42, 0x85, 0x4d, 0x98, 0x31, 0x1e, 0x60, + 0x4d, 0x87, 0x85, 0x04, 0xae, 0x46, 0x12, 0xf9, 0x8e, 0x7f, 0xe4, 0x7f, 0xf6, 0x1c, 0x37, 0x01]) , + fe([0x73, 0x4c, 0xb6, 0xc5, 0xc4, 0xe9, 0x6c, 0x85, 0x48, 0x4a, 0x5a, 0xac, 0xd9, 0x1f, 0x43, 0xf8, + 0x62, 0x5b, 0xee, 0x98, 0x2a, 0x33, 0x8e, 0x79, 0xce, 0x61, 0x06, 0x35, 0xd8, 0xd7, 0xca, 0x71])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0x78, 0x9f, 0x38, 0x79, 0xac, 0x97, 0x66, 0x1d, 0x5e, 0x51, + 0xee, 0x24, 0x42, 0xe8, 0x58, 0x4b, 0x8a, 0x03, 0x75, 0x86, 0x37, 0x86, 0xe2, 0x97, 0x4e, 0x3d])) + ) + v.append( + aff(fe([0x3f, 0x75, 0x8e, 0xb4, 0xff, 0xd8, 0xdd, 0xd6, 0x37, 0x57, 0x9d, 0x6d, 0x3b, 0xbd, 0xd5, 0x60, + 0x88, 0x65, 0x9a, 0xb9, 0x4a, 0x68, 0x84, 0xa2, 0x67, 0xdd, 0x17, 0x25, 0x97, 0x04, 0x8b, 0x5e]) , + fe([0xbb, 0x40, 0x5e, 0xbc, 0x16, 0x92, 0x05, 0xc4, 0xc0, 0x4e, 0x72, 0x90, 0x0e, 0xab, 0xcf, 0x8a, + 0xed, 0xef, 0xb9, 0x2d, 0x3b, 0xf8, 0x43, 0x5b, 0xba, 0x2d, 0xeb, 0x2f, 0x52, 0xd2, 0xd1, 0x5a])) + ) + v.append( + aff(fe([0x40, 0xb4, 0xab, 0xe6, 0xad, 0x9f, 0x46, 0x69, 0x4a, 0xb3, 0x8e, 0xaa, 0xea, 0x9c, 0x8a, 0x20, + 0x16, 0x5d, 0x8c, 0x13, 0xbd, 0xf6, 0x1d, 0xc5, 0x24, 0xbd, 0x90, 0x2a, 0x1c, 0xc7, 0x13, 0x3b]) , + fe([0x54, 0xdc, 0x16, 0x0d, 0x18, 0xbe, 0x35, 0x64, 0x61, 0x52, 0x02, 0x80, 0xaf, 0x05, 0xf7, 0xa6, + 0x42, 0xd3, 0x8f, 0x2e, 0x79, 0x26, 0xa8, 0xbb, 0xb2, 0x17, 0x48, 0xb2, 0x7a, 0x0a, 0x89, 0x14])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x20, 0xa8, 0x88, 0xe3, 0x91, 0xc0, 0x6e, 0xbb, 0x8a, 0x27, 0x82, 0x51, 0x83, 0xb2, 0x28, 0xa9, + 0x83, 0xeb, 0xa6, 0xa9, 0x4d, 0x17, 0x59, 0x22, 0x54, 0x00, 0x50, 0x45, 0xcb, 0x48, 0x4b, 0x18]) , + fe([0x33, 0x7c, 0xe7, 0x26, 0xba, 0x4d, 0x32, 0xfe, 0x53, 0xf4, 0xfa, 0x83, 0xe3, 0xa5, 0x79, 0x66, + 0x73, 0xef, 0x80, 0x23, 0x68, 0xc2, 0x60, 0xdd, 0xa9, 0x33, 0xdc, 0x03, 0x7a, 0xe0, 0xe0, 0x3e])) + ) + v.append( + aff(fe([0x34, 0x5c, 0x13, 0xfb, 0xc0, 0xe3, 0x78, 0x2b, 0x54, 0x58, 0x22, 0x9b, 0x76, 0x81, 0x7f, 0x93, + 0x9c, 0x25, 0x3c, 0xd2, 0xe9, 0x96, 0x21, 0x26, 0x08, 0xf5, 0xed, 0x95, 0x11, 0xae, 0x04, 0x5a]) , + fe([0xb9, 0xe8, 0xc5, 0x12, 0x97, 0x1f, 0x83, 0xfe, 0x3e, 0x94, 0x99, 0xd4, 0x2d, 0xf9, 0x52, 0x59, + 0x5c, 0x82, 0xa6, 0xf0, 0x75, 0x7e, 0xe8, 0xec, 0xcc, 0xac, 0x18, 0x21, 0x09, 0x67, 0x66, 0x67])) + ) + v.append( + aff(fe([0xb3, 0x40, 0x29, 0xd1, 0xcb, 0x1b, 0x08, 0x9e, 0x9c, 0xb7, 0x53, 0xb9, 0x3b, 0x71, 0x08, 0x95, + 0x12, 0x1a, 0x58, 0xaf, 0x7e, 0x82, 0x52, 0x43, 0x4f, 0x11, 0x39, 0xf4, 0x93, 0x1a, 0x26, 0x05]) , + fe([0x6e, 0x44, 0xa3, 0xf9, 0x64, 0xaf, 0xe7, 0x6d, 0x7d, 0xdf, 0x1e, 0xac, 0x04, 0xea, 0x3b, 0x5f, + 0x9b, 0xe8, 0x24, 0x9d, 0x0e, 0xe5, 0x2e, 0x3e, 0xdf, 0xa9, 0xf7, 0xd4, 0x50, 0x71, 0xf0, 0x78])) + ) + v.append( + aff(fe([0x3e, 0xa8, 0x38, 0xc2, 0x57, 0x56, 0x42, 0x9a, 0xb1, 0xe2, 0xf8, 0x45, 0xaa, 0x11, 0x48, 0x5f, + 0x17, 0xc4, 0x54, 0x27, 0xdc, 0x5d, 0xaa, 0xdd, 0x41, 0xbc, 0xdf, 0x81, 0xb9, 0x53, 0xee, 0x52]) , + fe([0xc3, 0xf1, 0xa7, 0x6d, 0xb3, 0x5f, 0x92, 0x6f, 0xcc, 0x91, 0xb8, 0x95, 0x05, 0xdf, 0x3c, 0x64, + 0x57, 0x39, 0x61, 0x51, 0xad, 0x8c, 0x38, 0x7b, 0xc8, 0xde, 0x00, 0x34, 0xbe, 0xa1, 0xb0, 0x7e])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x25, 0x24, 0x1d, 0x8a, 0x67, 0x20, 0xee, 0x42, 0xeb, 0x38, 0xed, 0x0b, 0x8b, 0xcd, 0x46, 0x9d, + 0x5e, 0x6b, 0x1e, 0x24, 0x9d, 0x12, 0x05, 0x1a, 0xcc, 0x05, 0x4e, 0x92, 0x38, 0xe1, 0x1f, 0x50]) , + fe([0x4e, 0xee, 0x1c, 0x91, 0xe6, 0x11, 0xbd, 0x8e, 0x55, 0x1a, 0x18, 0x75, 0x66, 0xaf, 0x4d, 0x7b, + 0x0f, 0xae, 0x6d, 0x85, 0xca, 0x82, 0x58, 0x21, 0x9c, 0x18, 0xe0, 0xed, 0xec, 0x22, 0x80, 0x2f])) + ) + v.append( + aff(fe([0x68, 0x3b, 0x0a, 0x39, 0x1d, 0x6a, 0x15, 0x57, 0xfc, 0xf0, 0x63, 0x54, 0xdb, 0x39, 0xdb, 0xe8, + 0x5c, 0x64, 0xff, 0xa0, 0x09, 0x4f, 0x3b, 0xb7, 0x32, 0x60, 0x99, 0x94, 0xfd, 0x94, 0x82, 0x2d]) , + fe([0x24, 0xf6, 0x5a, 0x44, 0xf1, 0x55, 0x2c, 0xdb, 0xea, 0x7c, 0x84, 0x7c, 0x01, 0xac, 0xe3, 0xfd, + 0xc9, 0x27, 0xc1, 0x5a, 0xb9, 0xde, 0x4f, 0x5a, 0x90, 0xdd, 0xc6, 0x67, 0xaa, 0x6f, 0x8a, 0x3a])) + ) + v.append( + aff(fe([0x78, 0x52, 0x87, 0xc9, 0x97, 0x63, 0xb1, 0xdd, 0x54, 0x5f, 0xc1, 0xf8, 0xf1, 0x06, 0xa6, 0xa8, + 0xa3, 0x88, 0x82, 0xd4, 0xcb, 0xa6, 0x19, 0xdd, 0xd1, 0x11, 0x87, 0x08, 0x17, 0x4c, 0x37, 0x2a]) , + fe([0xa1, 0x0c, 0xf3, 0x08, 0x43, 0xd9, 0x24, 0x1e, 0x83, 0xa7, 0xdf, 0x91, 0xca, 0xbd, 0x69, 0x47, + 0x8d, 0x1b, 0xe2, 0xb9, 0x4e, 0xb5, 0xe1, 0x76, 0xb3, 0x1c, 0x93, 0x03, 0xce, 0x5f, 0xb3, 0x5a])) + ) + v.append( + aff(fe([0x1d, 0xda, 0xe4, 0x61, 0x03, 0x50, 0xa9, 0x8b, 0x68, 0x18, 0xef, 0xb2, 0x1c, 0x84, 0x3b, 0xa2, + 0x44, 0x95, 0xa3, 0x04, 0x3b, 0xd6, 0x99, 0x00, 0xaf, 0x76, 0x42, 0x67, 0x02, 0x7d, 0x85, 0x56]) , + fe([0xce, 0x72, 0x0e, 0x29, 0x84, 0xb2, 0x7d, 0xd2, 0x45, 0xbe, 0x57, 0x06, 0xed, 0x7f, 0xcf, 0xed, + 0xcd, 0xef, 0x19, 0xd6, 0xbc, 0x15, 0x79, 0x64, 0xd2, 0x18, 0xe3, 0x20, 0x67, 0x3a, 0x54, 0x0b])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x52, 0xfd, 0x04, 0xc5, 0xfb, 0x99, 0xe7, 0xe8, 0xfb, 0x8c, 0xe1, 0x42, 0x03, 0xef, 0x9d, 0xd9, + 0x9e, 0x4d, 0xf7, 0x80, 0xcf, 0x2e, 0xcc, 0x9b, 0x45, 0xc9, 0x7b, 0x7a, 0xbc, 0x37, 0xa8, 0x52]) , + fe([0x96, 0x11, 0x41, 0x8a, 0x47, 0x91, 0xfe, 0xb6, 0xda, 0x7a, 0x54, 0x63, 0xd1, 0x14, 0x35, 0x05, + 0x86, 0x8c, 0xa9, 0x36, 0x3f, 0xf2, 0x85, 0x54, 0x4e, 0x92, 0xd8, 0x85, 0x01, 0x46, 0xd6, 0x50])) + ) + v.append( + aff(fe([0x53, 0xcd, 0xf3, 0x86, 0x40, 0xe6, 0x39, 0x42, 0x95, 0xd6, 0xcb, 0x45, 0x1a, 0x20, 0xc8, 0x45, + 0x4b, 0x32, 0x69, 0x04, 0xb1, 0xaf, 0x20, 0x46, 0xc7, 0x6b, 0x23, 0x5b, 0x69, 0xee, 0x30, 0x3f]) , + fe([0x70, 0x83, 0x47, 0xc0, 0xdb, 0x55, 0x08, 0xa8, 0x7b, 0x18, 0x6d, 0xf5, 0x04, 0x5a, 0x20, 0x0c, + 0x4a, 0x8c, 0x60, 0xae, 0xae, 0x0f, 0x64, 0x55, 0x55, 0x2e, 0xd5, 0x1d, 0x53, 0x31, 0x42, 0x41])) + ) + v.append( + aff(fe([0xca, 0xfc, 0x88, 0x6b, 0x96, 0x78, 0x0a, 0x8b, 0x83, 0xdc, 0xbc, 0xaf, 0x40, 0xb6, 0x8d, 0x7f, + 0xef, 0xb4, 0xd1, 0x3f, 0xcc, 0xa2, 0x74, 0xc9, 0xc2, 0x92, 0x55, 0x00, 0xab, 0xdb, 0xbf, 0x4f]) , + fe([0x93, 0x1c, 0x06, 0x2d, 0x66, 0x65, 0x02, 0xa4, 0x97, 0x18, 0xfd, 0x00, 0xe7, 0xab, 0x03, 0xec, + 0xce, 0xc1, 0xbf, 0x37, 0xf8, 0x13, 0x53, 0xa5, 0xe5, 0x0c, 0x3a, 0xa8, 0x55, 0xb9, 0xff, 0x68])) + ) + v.append( + aff(fe([0xe4, 0xe6, 0x6d, 0x30, 0x7d, 0x30, 0x35, 0xc2, 0x78, 0x87, 0xf9, 0xfc, 0x6b, 0x5a, 0xc3, 0xb7, + 0x65, 0xd8, 0x2e, 0xc7, 0xa5, 0x0c, 0xc6, 0xdc, 0x12, 0xaa, 0xd6, 0x4f, 0xc5, 0x38, 0xbc, 0x0e]) , + fe([0xe2, 0x3c, 0x76, 0x86, 0x38, 0xf2, 0x7b, 0x2c, 0x16, 0x78, 0x8d, 0xf5, 0xa4, 0x15, 0xda, 0xdb, + 0x26, 0x85, 0xa0, 0x56, 0xdd, 0x1d, 0xe3, 0xb3, 0xfd, 0x40, 0xef, 0xf2, 0xd9, 0xa1, 0xb3, 0x04])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xdb, 0x49, 0x0e, 0xe6, 0x58, 0x10, 0x7a, 0x52, 0xda, 0xb5, 0x7d, 0x37, 0x6a, 0x3e, 0xa1, 0x78, + 0xce, 0xc7, 0x1c, 0x24, 0x23, 0xdb, 0x7d, 0xfb, 0x8c, 0x8d, 0xdc, 0x30, 0x67, 0x69, 0x75, 0x3b]) , + fe([0xa9, 0xea, 0x6d, 0x16, 0x16, 0x60, 0xf4, 0x60, 0x87, 0x19, 0x44, 0x8c, 0x4a, 0x8b, 0x3e, 0xfb, + 0x16, 0x00, 0x00, 0x54, 0xa6, 0x9e, 0x9f, 0xef, 0xcf, 0xd9, 0xd2, 0x4c, 0x74, 0x31, 0xd0, 0x34])) + ) + v.append( + aff(fe([0xa4, 0xeb, 0x04, 0xa4, 0x8c, 0x8f, 0x71, 0x27, 0x95, 0x85, 0x5d, 0x55, 0x4b, 0xb1, 0x26, 0x26, + 0xc8, 0xae, 0x6a, 0x7d, 0xa2, 0x21, 0xca, 0xce, 0x38, 0xab, 0x0f, 0xd0, 0xd5, 0x2b, 0x6b, 0x00]) , + fe([0xe5, 0x67, 0x0c, 0xf1, 0x3a, 0x9a, 0xea, 0x09, 0x39, 0xef, 0xd1, 0x30, 0xbc, 0x33, 0xba, 0xb1, + 0x6a, 0xc5, 0x27, 0x08, 0x7f, 0x54, 0x80, 0x3d, 0xab, 0xf6, 0x15, 0x7a, 0xc2, 0x40, 0x73, 0x72])) + ) + v.append( + aff(fe([0x84, 0x56, 0x82, 0xb6, 0x12, 0x70, 0x7f, 0xf7, 0xf0, 0xbd, 0x5b, 0xa9, 0xd5, 0xc5, 0x5f, 0x59, + 0xbf, 0x7f, 0xb3, 0x55, 0x22, 0x02, 0xc9, 0x44, 0x55, 0x87, 0x8f, 0x96, 0x98, 0x64, 0x6d, 0x15]) , + fe([0xb0, 0x8b, 0xaa, 0x1e, 0xec, 0xc7, 0xa5, 0x8f, 0x1f, 0x92, 0x04, 0xc6, 0x05, 0xf6, 0xdf, 0xa1, + 0xcc, 0x1f, 0x81, 0xf5, 0x0e, 0x9c, 0x57, 0xdc, 0xe3, 0xbb, 0x06, 0x87, 0x1e, 0xfe, 0x23, 0x6c])) + ) + v.append( + aff(fe([0xd8, 0x2b, 0x5b, 0x16, 0xea, 0x20, 0xf1, 0xd3, 0x68, 0x8f, 0xae, 0x5b, 0xd0, 0xa9, 0x1a, 0x19, + 0xa8, 0x36, 0xfb, 0x2b, 0x57, 0x88, 0x7d, 0x90, 0xd5, 0xa6, 0xf3, 0xdc, 0x38, 0x89, 0x4e, 0x1f]) , + fe([0xcc, 0x19, 0xda, 0x9b, 0x3b, 0x43, 0x48, 0x21, 0x2e, 0x23, 0x4d, 0x3d, 0xae, 0xf8, 0x8c, 0xfc, + 0xdd, 0xa6, 0x74, 0x37, 0x65, 0xca, 0xee, 0x1a, 0x19, 0x8e, 0x9f, 0x64, 0x6f, 0x0c, 0x8b, 0x5a])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x25, 0xb9, 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0x5a, 0x00, 0xa0, 0xce, 0x21, 0x7d]) , + fe([0x6c, 0xba, 0x14, 0xc5, 0xea, 0x12, 0x9e, 0x2e, 0x82, 0x63, 0xce, 0x9b, 0x4a, 0xe7, 0x1d, 0xec, + 0xf1, 0x2e, 0x51, 0x1c, 0xf4, 0xd0, 0x69, 0x15, 0x42, 0x9d, 0xa3, 0x3f, 0x0e, 0xbf, 0xe9, 0x5c])) + ) + v.append( + aff(fe([0xe4, 0x0d, 0xf4, 0xbd, 0xee, 0x31, 0x10, 0xed, 0xcb, 0x12, 0x86, 0xad, 0xd4, 0x2f, 0x90, 0x37, + 0x32, 0xc3, 0x0b, 0x73, 0xec, 0x97, 0x85, 0xa4, 0x01, 0x1c, 0x76, 0x35, 0xfe, 0x75, 0xdd, 0x71]) , + fe([0x11, 0xa4, 0x88, 0x9f, 0x3e, 0x53, 0x69, 0x3b, 0x1b, 0xe0, 0xf7, 0xba, 0x9b, 0xad, 0x4e, 0x81, + 0x5f, 0xb5, 0x5c, 0xae, 0xbe, 0x67, 0x86, 0x37, 0x34, 0x8e, 0x07, 0x32, 0x45, 0x4a, 0x67, 0x39])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 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0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xf5, 0x6c, 0xd4, 0x2f, 0x0f, 0x69, 0x0f, 0x87, 0x3f, 0x61, 0x65, 0x1e, 0x35, 0x34, 0x85, 0xba, + 0x02, 0x30, 0xac, 0x25, 0x3d, 0xe2, 0x62, 0xf1, 0xcc, 0xe9, 0x1b, 0xc2, 0xef, 0x6a, 0x42, 0x57]) , + fe([0x34, 0x1f, 0x2e, 0xac, 0xd1, 0xc7, 0x04, 0x52, 0x32, 0x66, 0xb2, 0x33, 0x73, 0x21, 0x34, 0x54, + 0xf7, 0x71, 0xed, 0x06, 0xb0, 0xff, 0xa6, 0x59, 0x6f, 0x8a, 0x4e, 0xfb, 0x02, 0xb0, 0x45, 0x6b])) + ) + v.append( + aff(fe([0xf5, 0x48, 0x0b, 0x03, 0xc5, 0x22, 0x7d, 0x80, 0x08, 0x53, 0xfe, 0x32, 0xb1, 0xa1, 0x8a, 0x74, + 0x6f, 0xbd, 0x3f, 0x85, 0xf4, 0xcf, 0xf5, 0x60, 0xaf, 0x41, 0x7e, 0x3e, 0x46, 0xa3, 0x5a, 0x20]) , + fe([0xaa, 0x35, 0x87, 0x44, 0x63, 0x66, 0x97, 0xf8, 0x6e, 0x55, 0x0c, 0x04, 0x3e, 0x35, 0x50, 0xbf, + 0x93, 0x69, 0xd2, 0x8b, 0x05, 0x55, 0x99, 0xbe, 0xe2, 0x53, 0x61, 0xec, 0xe8, 0x08, 0x0b, 0x32])) + ) + v.append( + aff(fe([0xb3, 0x10, 0x45, 0x02, 0x69, 0x59, 0x2e, 0x97, 0xd9, 0x64, 0xf8, 0xdb, 0x25, 0x80, 0xdc, 0xc4, + 0xd5, 0x62, 0x3c, 0xed, 0x65, 0x91, 0xad, 0xd1, 0x57, 0x81, 0x94, 0xaa, 0xa1, 0x29, 0xfc, 0x68]) , + fe([0xdd, 0xb5, 0x7d, 0xab, 0x5a, 0x21, 0x41, 0x53, 0xbb, 0x17, 0x79, 0x0d, 0xd1, 0xa8, 0x0c, 0x0c, + 0x20, 0x88, 0x09, 0xe9, 0x84, 0xe8, 0x25, 0x11, 0x67, 0x7a, 0x8b, 0x1a, 0xe4, 0x5d, 0xe1, 0x5d])) + ) + v.append( + aff(fe([0x37, 0xea, 0xfe, 0x65, 0x3b, 0x25, 0xe8, 0xe1, 0xc2, 0xc5, 0x02, 0xa4, 0xbe, 0x98, 0x0a, 0x2b, + 0x61, 0xc1, 0x9b, 0xe2, 0xd5, 0x92, 0xe6, 0x9e, 0x7d, 0x1f, 0xca, 0x43, 0x88, 0x8b, 0x2c, 0x59]) , + fe([0xe0, 0xb5, 0x00, 0x1d, 0x2a, 0x6f, 0xaf, 0x79, 0x86, 0x2f, 0xa6, 0x5a, 0x93, 0xd1, 0xfe, 0xae, + 0x3a, 0xee, 0xdb, 0x7c, 0x61, 0xbe, 0x7c, 0x01, 0xf9, 0xfe, 0x52, 0xdc, 0xd8, 0x52, 0xa3, 0x42])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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fe([0x13, 0x53, 0xe4, 0x82, 0x57, 0xfa, 0x1e, 0x8f, 0x06, 0x2b, 0x90, 0xba, 0x08, 0xb6, 0x10, 0x54, + 0x4f, 0x7c, 0x1b, 0x26, 0xed, 0xda, 0x6b, 0xdd, 0x25, 0xd0, 0x4e, 0xea, 0x42, 0xbb, 0x25, 0x03])) + ) + v.append( + aff(fe([0x51, 0x16, 0x50, 0x7c, 0xd5, 0x5d, 0xf6, 0x99, 0xe8, 0x77, 0x72, 0x4e, 0xfa, 0x62, 0xcb, 0x76, + 0x75, 0x0c, 0xe2, 0x71, 0x98, 0x92, 0xd5, 0xfa, 0x45, 0xdf, 0x5c, 0x6f, 0x1e, 0x9e, 0x28, 0x69]) , + fe([0x0d, 0xac, 0x66, 0x6d, 0xc3, 0x8b, 0xba, 0x16, 0xb5, 0xe2, 0xa0, 0x0d, 0x0c, 0xbd, 0xa4, 0x8e, + 0x18, 0x6c, 0xf2, 0xdc, 0xf9, 0xdc, 0x4a, 0x86, 0x25, 0x95, 0x14, 0xcb, 0xd8, 0x1a, 0x04, 0x0f])) + ) + v.append( + aff(fe([0x97, 0xa5, 0xdb, 0x8b, 0x2d, 0xaa, 0x42, 0x11, 0x09, 0xf2, 0x93, 0xbb, 0xd9, 0x06, 0x84, 0x4e, + 0x11, 0xa8, 0xa0, 0x25, 0x2b, 0xa6, 0x5f, 0xae, 0xc4, 0xb4, 0x4c, 0xc8, 0xab, 0xc7, 0x3b, 0x02]) , + fe([0xee, 0xc9, 0x29, 0x0f, 0xdf, 0x11, 0x85, 0xed, 0xce, 0x0d, 0x62, 0x2c, 0x8f, 0x4b, 0xf9, 0x04, + 0xe9, 0x06, 0x72, 0x1d, 0x37, 0x20, 0x50, 0xc9, 0x14, 0xeb, 0xec, 0x39, 0xa7, 0x97, 0x2b, 0x4d])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x69, 0xd1, 0x39, 0xbd, 0xfb, 0x33, 0xbe, 0xc4, 0xf0, 0x5c, 0xef, 0xf0, 0x56, 0x68, 0xfc, 0x97, + 0x47, 0xc8, 0x72, 0xb6, 0x53, 0xa4, 0x0a, 0x98, 0xa5, 0xb4, 0x37, 0x71, 0xcf, 0x66, 0x50, 0x6d]) , + fe([0x17, 0xa4, 0x19, 0x52, 0x11, 0x47, 0xb3, 0x5c, 0x5b, 0xa9, 0x2e, 0x22, 0xb4, 0x00, 0x52, 0xf9, + 0x57, 0x18, 0xb8, 0xbe, 0x5a, 0xe3, 0xab, 0x83, 0xc8, 0x87, 0x0a, 0x2a, 0xd8, 0x8c, 0xbb, 0x54])) + ) + v.append( + aff(fe([0xa9, 0x62, 0x93, 0x85, 0xbe, 0xe8, 0x73, 0x4a, 0x0e, 0xb0, 0xb5, 0x2d, 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0x95, 0xb2, 0x51, 0x79])) + ) + v.append( + aff(fe([0x28, 0x5c, 0x3f, 0xdb, 0x6b, 0x18, 0x3b, 0x5c, 0xd1, 0x04, 0x28, 0xde, 0x85, 0x52, 0x31, 0xb5, + 0xbb, 0xf6, 0xa9, 0xed, 0xbe, 0x28, 0x4f, 0xb3, 0x7e, 0x05, 0x6a, 0xdb, 0x95, 0x0d, 0x1b, 0x1c]) , + fe([0xd5, 0xc5, 0xc3, 0x9a, 0x0a, 0xd0, 0x31, 0x3e, 0x07, 0x36, 0x8e, 0xc0, 0x8a, 0x62, 0xb1, 0xca, + 0xd6, 0x0e, 0x1e, 0x9d, 0xef, 0xab, 0x98, 0x4d, 0xbb, 0x6c, 0x05, 0xe0, 0xe4, 0x5d, 0xbd, 0x57])) + ) + v.append( + aff(fe([0xcc, 0x21, 0x27, 0xce, 0xfd, 0xa9, 0x94, 0x8e, 0xe1, 0xab, 0x49, 0xe0, 0x46, 0x26, 0xa1, 0xa8, + 0x8c, 0xa1, 0x99, 0x1d, 0xb4, 0x27, 0x6d, 0x2d, 0xc8, 0x39, 0x30, 0x5e, 0x37, 0x52, 0xc4, 0x6e]) , + fe([0xa9, 0x85, 0xf4, 0xe7, 0xb0, 0x15, 0x33, 0x84, 0x1b, 0x14, 0x1a, 0x02, 0xd9, 0x3b, 0xad, 0x0f, + 0x43, 0x6c, 0xea, 0x3e, 0x0f, 0x7e, 0xda, 0xdd, 0x6b, 0x4c, 0x7f, 0x6e, 0xd4, 0x6b, 0xbf, 0x0f])) + ) + v.append( + aff(fe([0x47, 0x9f, 0x7c, 0x56, 0x7c, 0x43, 0x91, 0x1c, 0xbb, 0x4e, 0x72, 0x3e, 0x64, 0xab, 0xa0, 0xa0, + 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0x31, 0xbd, 0x32, 0xe9, 0x2c, 0x5c, 0xd2, 0x85, 0xba, + 0x40, 0x64, 0xa8, 0x74, 0xf8, 0x0e, 0x1c, 0xb3, 0xa9, 0x69, 0xe8, 0x1e, 0x40, 0x64, 0x99, 0x77])) + ) + v.append( + aff(fe([0x6c, 0x32, 0x4f, 0xfd, 0xbb, 0x5c, 0xbb, 0x8d, 0x64, 0x66, 0x4a, 0x71, 0x1f, 0x79, 0xa3, 0xad, + 0x8d, 0xf9, 0xd4, 0xec, 0xcf, 0x67, 0x70, 0xfa, 0x05, 0x4a, 0x0f, 0x6e, 0xaf, 0x87, 0x0a, 0x6f]) , + fe([0xc6, 0x36, 0x6e, 0x6c, 0x8c, 0x24, 0x09, 0x60, 0xbe, 0x26, 0xd2, 0x4c, 0x5e, 0x17, 0xca, 0x5f, + 0x1d, 0xcc, 0x87, 0xe8, 0x42, 0x6a, 0xcb, 0xcb, 0x7d, 0x92, 0x05, 0x35, 0x81, 0x13, 0x60, 0x6b])) + ) + v.append( + aff(fe([0xf4, 0x15, 0xcd, 0x0f, 0x0a, 0xaf, 0x4e, 0x6b, 0x51, 0xfd, 0x14, 0xc4, 0x2e, 0x13, 0x86, 0x74, + 0x44, 0xcb, 0x66, 0x6b, 0xb6, 0x9d, 0x74, 0x56, 0x32, 0xac, 0x8d, 0x8e, 0x8c, 0x8c, 0x8c, 0x39]) , + fe([0xca, 0x59, 0x74, 0x1a, 0x11, 0xef, 0x6d, 0xf7, 0x39, 0x5c, 0x3b, 0x1f, 0xfa, 0xe3, 0x40, 0x41, + 0x23, 0x9e, 0xf6, 0xd1, 0x21, 0xa2, 0xbf, 0xad, 0x65, 0x42, 0x6b, 0x59, 0x8a, 0xe8, 0xc5, 0x7f])) + ) + v.append( + aff(fe([0x64, 0x05, 0x7a, 0x84, 0x4a, 0x13, 0xc3, 0xf6, 0xb0, 0x6e, 0x9a, 0x6b, 0x53, 0x6b, 0x32, 0xda, + 0xd9, 0x74, 0x75, 0xc4, 0xba, 0x64, 0x3d, 0x3b, 0x08, 0xdd, 0x10, 0x46, 0xef, 0xc7, 0x90, 0x1f]) , + fe([0x7b, 0x2f, 0x3a, 0xce, 0xc8, 0xa1, 0x79, 0x3c, 0x30, 0x12, 0x44, 0x28, 0xf6, 0xbc, 0xff, 0xfd, + 0xf4, 0xc0, 0x97, 0xb0, 0xcc, 0xc3, 0x13, 0x7a, 0xb9, 0x9a, 0x16, 0xe4, 0xcb, 0x4c, 0x34, 0x63])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x07, 0x4e, 0xd3, 0x2d, 0x09, 0x33, 0x0e, 0xd2, 0x0d, 0xbe, 0x3e, 0xe7, 0xe4, 0xaa, 0xb7, 0x00, + 0x8b, 0xe8, 0xad, 0xaa, 0x7a, 0x8d, 0x34, 0x28, 0xa9, 0x81, 0x94, 0xc5, 0xe7, 0x42, 0xac, 0x47]) , + fe([0x24, 0x89, 0x7a, 0x8f, 0xb5, 0x9b, 0xf0, 0xc2, 0x03, 0x64, 0xd0, 0x1e, 0xf5, 0xa4, 0xb2, 0xf3, + 0x74, 0xe9, 0x1a, 0x16, 0xfd, 0xcb, 0x15, 0xea, 0xeb, 0x10, 0x6c, 0x35, 0xd1, 0xc1, 0xa6, 0x28])) + ) + v.append( + aff(fe([0xcc, 0xd5, 0x39, 0xfc, 0xa5, 0xa4, 0xad, 0x32, 0x15, 0xce, 0x19, 0xe8, 0x34, 0x2b, 0x1c, 0x60, + 0x91, 0xfc, 0x05, 0xa9, 0xb3, 0xdc, 0x80, 0x29, 0xc4, 0x20, 0x79, 0x06, 0x39, 0xc0, 0xe2, 0x22]) , + fe([0xbb, 0xa8, 0xe1, 0x89, 0x70, 0x57, 0x18, 0x54, 0x3c, 0xf6, 0x0d, 0x82, 0x12, 0x05, 0x87, 0x96, + 0x06, 0x39, 0xe3, 0xf8, 0xb3, 0x95, 0xe5, 0xd7, 0x26, 0xbf, 0x09, 0x5a, 0x94, 0xf9, 0x1c, 0x63])) + ) + v.append( + aff(fe([0x2b, 0x8c, 0x2d, 0x9a, 0x8b, 0x84, 0xf2, 0x56, 0xfb, 0xad, 0x2e, 0x7f, 0xb7, 0xfc, 0x30, 0xe1, + 0x35, 0x89, 0xba, 0x4d, 0xa8, 0x6d, 0xce, 0x8c, 0x8b, 0x30, 0xe0, 0xda, 0x29, 0x18, 0x11, 0x17]) , + fe([0x19, 0xa6, 0x5a, 0x65, 0x93, 0xc3, 0xb5, 0x31, 0x22, 0x4f, 0xf3, 0xf6, 0x0f, 0xeb, 0x28, 0xc3, + 0x7c, 0xeb, 0xce, 0x86, 0xec, 0x67, 0x76, 0x6e, 0x35, 0x45, 0x7b, 0xd8, 0x6b, 0x92, 0x01, 0x65])) + ) + v.append( + aff(fe([0x3d, 0xd5, 0x9a, 0x64, 0x73, 0x36, 0xb1, 0xd6, 0x86, 0x98, 0x42, 0x3f, 0x8a, 0xf1, 0xc7, 0xf5, + 0x42, 0xa8, 0x9c, 0x52, 0xa8, 0xdc, 0xf9, 0x24, 0x3f, 0x4a, 0xa1, 0xa4, 0x5b, 0xe8, 0x62, 0x1a]) , + fe([0xc5, 0xbd, 0xc8, 0x14, 0xd5, 0x0d, 0xeb, 0xe1, 0xa5, 0xe6, 0x83, 0x11, 0x09, 0x00, 0x1d, 0x55, + 0x83, 0x51, 0x7e, 0x75, 0x00, 0x81, 0xb9, 0xcb, 0xd8, 0xc5, 0xe5, 0xa1, 0xd9, 0x17, 0x6d, 0x1f])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( 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0xc3, 0x62, 0xaa, 0x8c, 0xe8, 0xad, 0x47, 0x39, 0x1b]) , + fe([0x46, 0xda, 0x9e, 0x51, 0x3a, 0xe6, 0xd1, 0xa6, 0xbb, 0x4d, 0x7b, 0x08, 0xbe, 0x8c, 0xd5, 0xf3, + 0x3f, 0xfd, 0xf7, 0x44, 0x80, 0x2d, 0x53, 0x4b, 0xd0, 0x87, 0x68, 0xc1, 0xb5, 0xd8, 0xf7, 0x07])) + ) + v.append( + aff(fe([0xf4, 0x10, 0x46, 0xbe, 0xb7, 0xd2, 0xd1, 0xce, 0x5e, 0x76, 0xa2, 0xd7, 0x03, 0xdc, 0xe4, 0x81, + 0x5a, 0xf6, 0x3c, 0xde, 0xae, 0x7a, 0x9d, 0x21, 0x34, 0xa5, 0xf6, 0xa9, 0x73, 0xe2, 0x8d, 0x60]) , + fe([0xfa, 0x44, 0x71, 0xf6, 0x41, 0xd8, 0xc6, 0x58, 0x13, 0x37, 0xeb, 0x84, 0x0f, 0x96, 0xc7, 0xdc, + 0xc8, 0xa9, 0x7a, 0x83, 0xb2, 0x2f, 0x31, 0xb1, 0x1a, 0xd8, 0x98, 0x3f, 0x11, 0xd0, 0x31, 0x3b])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x81, 0xd5, 0x34, 0x16, 0x01, 0xa3, 0x93, 0xea, 0x52, 0x94, 0xec, 0x93, 0xb7, 0x81, 0x11, 0x2d, + 0x58, 0xf9, 0xb5, 0x0a, 0xaa, 0x4f, 0xf6, 0x2e, 0x3f, 0x36, 0xbf, 0x33, 0x5a, 0xe7, 0xd1, 0x08]) , + fe([0x1a, 0xcf, 0x42, 0xae, 0xcc, 0xb5, 0x77, 0x39, 0xc4, 0x5b, 0x5b, 0xd0, 0x26, 0x59, 0x27, 0xd0, + 0x55, 0x71, 0x12, 0x9d, 0x88, 0x3d, 0x9c, 0xea, 0x41, 0x6a, 0xf0, 0x50, 0x93, 0x93, 0xdd, 0x47])) + ) + v.append( + aff(fe([0x6f, 0xc9, 0x51, 0x6d, 0x1c, 0xaa, 0xf5, 0xa5, 0x90, 0x3f, 0x14, 0xe2, 0x6e, 0x8e, 0x64, 0xfd, + 0xac, 0xe0, 0x4e, 0x22, 0xe5, 0xc1, 0xbc, 0x29, 0x0a, 0x6a, 0x9e, 0xa1, 0x60, 0xcb, 0x2f, 0x0b]) , + fe([0xdc, 0x39, 0x32, 0xf3, 0xa1, 0x44, 0xe9, 0xc5, 0xc3, 0x78, 0xfb, 0x95, 0x47, 0x34, 0x35, 0x34, + 0xe8, 0x25, 0xde, 0x93, 0xc6, 0xb4, 0x76, 0x6d, 0x86, 0x13, 0xc6, 0xe9, 0x68, 0xb5, 0x01, 0x63])) + ) + v.append( + aff(fe([0x1f, 0x9a, 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0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x02, 0xfe, 0x54, 0x12, 0x18, 0xca, 0x7d, 0xa5, 0x68, 0x43, 0xa3, 0x6d, 0x14, 0x2a, 0x6a, 0xa5, + 0x8e, 0x32, 0xe7, 0x63, 0x4f, 0xe3, 0xc6, 0x44, 0x3e, 0xab, 0x63, 0xca, 0x17, 0x86, 0x74, 0x3f]) , + fe([0x1e, 0x64, 0xc1, 0x7d, 0x52, 0xdc, 0x13, 0x5a, 0xa1, 0x9c, 0x4e, 0xee, 0x99, 0x28, 0xbb, 0x4c, + 0xee, 0xac, 0xa9, 0x1b, 0x89, 0xa2, 0x38, 0x39, 0x7b, 0xc4, 0x0f, 0x42, 0xe6, 0x89, 0xed, 0x0f])) + ) + v.append( + aff(fe([0xf3, 0x3c, 0x8c, 0x80, 0x83, 0x10, 0x8a, 0x37, 0x50, 0x9c, 0xb4, 0xdf, 0x3f, 0x8c, 0xf7, 0x23, + 0x07, 0xd6, 0xff, 0xa0, 0x82, 0x6c, 0x75, 0x3b, 0xe4, 0xb5, 0xbb, 0xe4, 0xe6, 0x50, 0xf0, 0x08]) , + fe([0x62, 0xee, 0x75, 0x48, 0x92, 0x33, 0xf2, 0xf4, 0xad, 0x15, 0x7a, 0xa1, 0x01, 0x46, 0xa9, 0x32, + 0x06, 0x88, 0xb6, 0x36, 0x47, 0x35, 0xb9, 0xb4, 0x42, 0x85, 0x76, 0xf0, 0x48, 0x00, 0x90, 0x38])) + ) + v.append( + aff(fe([0x51, 0x15, 0x9d, 0xc3, 0x95, 0xd1, 0x39, 0xbb, 0x64, 0x9d, 0x15, 0x81, 0xc1, 0x68, 0xd0, 0xb6, + 0xa4, 0x2c, 0x7d, 0x5e, 0x02, 0x39, 0x00, 0xe0, 0x3b, 0xa4, 0xcc, 0xca, 0x1d, 0x81, 0x24, 0x10]) , + fe([0xe7, 0x29, 0xf9, 0x37, 0xd9, 0x46, 0x5a, 0xcd, 0x70, 0xfe, 0x4d, 0x5b, 0xbf, 0xa5, 0xcf, 0x91, + 0xf4, 0xef, 0xee, 0x8a, 0x29, 0xd0, 0xe7, 0xc4, 0x25, 0x92, 0x8a, 0xff, 0x36, 0xfc, 0xe4, 0x49])) + ) + v.append( + aff(fe([0xbd, 0x00, 0xb9, 0x04, 0x7d, 0x35, 0xfc, 0xeb, 0xd0, 0x0b, 0x05, 0x32, 0x52, 0x7a, 0x89, 0x24, + 0x75, 0x50, 0xe1, 0x63, 0x02, 0x82, 0x8e, 0xe7, 0x85, 0x0c, 0xf2, 0x56, 0x44, 0x37, 0x83, 0x25]) , + fe([0x8f, 0xa1, 0xce, 0xcb, 0x60, 0xda, 0x12, 0x02, 0x1e, 0x29, 0x39, 0x2a, 0x03, 0xb7, 0xeb, 0x77, + 0x40, 0xea, 0xc9, 0x2b, 0x2c, 0xd5, 0x7d, 0x7e, 0x2c, 0xc7, 0x5a, 0xfd, 0xff, 0xc4, 0xd1, 0x62])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 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0xd9, 0x69]) , + fe([0x8e, 0x4e, 0x9f, 0x25, 0xf8, 0x81, 0x54, 0x2d, 0x0e, 0xd5, 0x54, 0x81, 0x9b, 0xa6, 0x92, 0xce, + 0x4b, 0xe9, 0x8f, 0x24, 0x3b, 0xca, 0xe0, 0x44, 0xab, 0x36, 0xfe, 0xfb, 0x87, 0xd4, 0x26, 0x3e])) + ) + v.append( + aff(fe([0x0f, 0x93, 0x9c, 0x11, 0xe7, 0xdb, 0xf1, 0xf0, 0x85, 0x43, 0x28, 0x15, 0x37, 0xdd, 0xde, 0x27, + 0xdf, 0xad, 0x3e, 0x49, 0x4f, 0xe0, 0x5b, 0xf6, 0x80, 0x59, 0x15, 0x3c, 0x85, 0xb7, 0x3e, 0x12]) , + fe([0xf5, 0xff, 0xcc, 0xf0, 0xb4, 0x12, 0x03, 0x5f, 0xc9, 0x84, 0xcb, 0x1d, 0x17, 0xe0, 0xbc, 0xcc, + 0x03, 0x62, 0xa9, 0x8b, 0x94, 0xa6, 0xaa, 0x18, 0xcb, 0x27, 0x8d, 0x49, 0xa6, 0x17, 0x15, 0x07])) + ) + v.append( + aff(fe([0xd9, 0xb6, 0xd4, 0x9d, 0xd4, 0x6a, 0xaf, 0x70, 0x07, 0x2c, 0x10, 0x9e, 0xbd, 0x11, 0xad, 0xe4, + 0x26, 0x33, 0x70, 0x92, 0x78, 0x1c, 0x74, 0x9f, 0x75, 0x60, 0x56, 0xf4, 0x39, 0xa8, 0xa8, 0x62]) , + fe([0x3b, 0xbf, 0x55, 0x35, 0x61, 0x8b, 0x44, 0x97, 0xe8, 0x3a, 0x55, 0xc1, 0xc8, 0x3b, 0xfd, 0x95, + 0x29, 0x11, 0x60, 0x96, 0x1e, 0xcb, 0x11, 0x9d, 0xc2, 0x03, 0x8a, 0x1b, 0xc6, 0xd6, 0x45, 0x3d])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x7e, 0x0e, 0x50, 0xb2, 0xcc, 0x0d, 0x6b, 0xa6, 0x71, 0x5b, 0x42, 0xed, 0xbd, 0xaf, 0xac, 0xf0, + 0xfc, 0x12, 0xa2, 0x3f, 0x4e, 0xda, 0xe8, 0x11, 0xf3, 0x23, 0xe1, 0x04, 0x62, 0x03, 0x1c, 0x4e]) , + fe([0xc8, 0xb1, 0x1b, 0x6f, 0x73, 0x61, 0x3d, 0x27, 0x0d, 0x7d, 0x7a, 0x25, 0x5f, 0x73, 0x0e, 0x2f, + 0x93, 0xf6, 0x24, 0xd8, 0x4f, 0x90, 0xac, 0xa2, 0x62, 0x0a, 0xf0, 0x61, 0xd9, 0x08, 0x59, 0x6a])) + ) + v.append( + aff(fe([0x6f, 0x2d, 0x55, 0xf8, 0x2f, 0x8e, 0xf0, 0x18, 0x3b, 0xea, 0xdd, 0x26, 0x72, 0xd1, 0xf5, 0xfe, + 0xe5, 0xb8, 0xe6, 0xd3, 0x10, 0x48, 0x46, 0x49, 0x3a, 0x9f, 0x5e, 0x45, 0x6b, 0x90, 0xe8, 0x7f]) , + fe([0xd3, 0x76, 0x69, 0x33, 0x7b, 0xb9, 0x40, 0x70, 0xee, 0xa6, 0x29, 0x6b, 0xdd, 0xd0, 0x5d, 0x8d, + 0xc1, 0x3e, 0x4a, 0xea, 0x37, 0xb1, 0x03, 0x02, 0x03, 0x35, 0xf1, 0x28, 0x9d, 0xff, 0x00, 0x13])) + ) + v.append( + aff(fe([0x7a, 0xdb, 0x12, 0xd2, 0x8a, 0x82, 0x03, 0x1b, 0x1e, 0xaf, 0xf9, 0x4b, 0x9c, 0xbe, 0xae, 0x7c, + 0xe4, 0x94, 0x2a, 0x23, 0xb3, 0x62, 0x86, 0xe7, 0xfd, 0x23, 0xaa, 0x99, 0xbd, 0x2b, 0x11, 0x6c]) , + fe([0x8d, 0xa6, 0xd5, 0xac, 0x9d, 0xcc, 0x68, 0x75, 0x7f, 0xc3, 0x4d, 0x4b, 0xdd, 0x6c, 0xbb, 0x11, + 0x5a, 0x60, 0xe5, 0xbd, 0x7d, 0x27, 0x8b, 0xda, 0xb4, 0x95, 0xf6, 0x03, 0x27, 0xa4, 0x92, 0x3f])) + ) + v.append( + aff(fe([0x22, 0xd6, 0xb5, 0x17, 0x84, 0xbf, 0x12, 0xcc, 0x23, 0x14, 0x4a, 0xdf, 0x14, 0x31, 0xbc, 0xa1, + 0xac, 0x6e, 0xab, 0xfa, 0x57, 0x11, 0x53, 0xb3, 0x27, 0xe6, 0xf9, 0x47, 0x33, 0x44, 0x34, 0x1e]) , + fe([0x79, 0xfc, 0xa6, 0xb4, 0x0b, 0x35, 0x20, 0xc9, 0x4d, 0x22, 0x84, 0xc4, 0xa9, 0x20, 0xec, 0x89, + 0x94, 0xba, 0x66, 0x56, 0x48, 0xb9, 0x87, 0x7f, 0xca, 0x1e, 0x06, 0xed, 0xa5, 0x55, 0x59, 0x29])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x56, 0xe1, 0xf5, 0xf1, 0xd5, 0xab, 0xa8, 0x2b, 0xae, 0x89, 0xf3, 0xcf, 0x56, 0x9f, 0xf2, 0x4b, + 0x31, 0xbc, 0x18, 0xa9, 0x06, 0x5b, 0xbe, 0xb4, 0x61, 0xf8, 0xb2, 0x06, 0x9c, 0x81, 0xab, 0x4c]) , + fe([0x1f, 0x68, 0x76, 0x01, 0x16, 0x38, 0x2b, 0x0f, 0x77, 0x97, 0x92, 0x67, 0x4e, 0x86, 0x6a, 0x8b, + 0xe5, 0xe8, 0x0c, 0xf7, 0x36, 0x39, 0xb5, 0x33, 0xe6, 0xcf, 0x5e, 0xbd, 0x18, 0xfb, 0x10, 0x1f])) + ) + v.append( + aff(fe([0x83, 0xf0, 0x0d, 0x63, 0xef, 0x53, 0x6b, 0xb5, 0x6b, 0xf9, 0x83, 0xcf, 0xde, 0x04, 0x22, 0x9b, + 0x2c, 0x0a, 0xe0, 0xa5, 0xd8, 0xc7, 0x9c, 0xa5, 0xa3, 0xf6, 0x6f, 0xcf, 0x90, 0x6b, 0x68, 0x7c]) , + fe([0x33, 0x15, 0xd7, 0x7f, 0x1a, 0xd5, 0x21, 0x58, 0xc4, 0x18, 0xa5, 0xf0, 0xcc, 0x73, 0xa8, 0xfd, + 0xfa, 0x18, 0xd1, 0x03, 0x91, 0x8d, 0x52, 0xd2, 0xa3, 0xa4, 0xd3, 0xb1, 0xea, 0x1d, 0x0f, 0x00])) + ) + v.append( + aff(fe([0xcc, 0x48, 0x83, 0x90, 0xe5, 0xfd, 0x3f, 0x84, 0xaa, 0xf9, 0x8b, 0x82, 0x59, 0x24, 0x34, 0x68, + 0x4f, 0x1c, 0x23, 0xd9, 0xcc, 0x71, 0xe1, 0x7f, 0x8c, 0xaf, 0xf1, 0xee, 0x00, 0xb6, 0xa0, 0x77]) , + fe([0xf5, 0x1a, 0x61, 0xf7, 0x37, 0x9d, 0x00, 0xf4, 0xf2, 0x69, 0x6f, 0x4b, 0x01, 0x85, 0x19, 0x45, + 0x4d, 0x7f, 0x02, 0x7c, 0x6a, 0x05, 0x47, 0x6c, 0x1f, 0x81, 0x20, 0xd4, 0xe8, 0x50, 0x27, 0x72])) + ) + v.append( + aff(fe([0x2c, 0x3a, 0xe5, 0xad, 0xf4, 0xdd, 0x2d, 0xf7, 0x5c, 0x44, 0xb5, 0x5b, 0x21, 0xa3, 0x89, 0x5f, + 0x96, 0x45, 0xca, 0x4d, 0xa4, 0x21, 0x99, 0x70, 0xda, 0xc4, 0xc4, 0xa0, 0xe5, 0xf4, 0xec, 0x0a]) , + fe([0x07, 0x68, 0x21, 0x65, 0xe9, 0x08, 0xa0, 0x0b, 0x6a, 0x4a, 0xba, 0xb5, 0x80, 0xaf, 0xd0, 0x1b, + 0xc5, 0xf5, 0x4b, 0x73, 0x50, 0x60, 0x2d, 0x71, 0x69, 0x61, 0x0e, 0xc0, 0x20, 0x40, 0x30, 0x19])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xd0, 0x75, 0x57, 0x3b, 0xeb, 0x5c, 0x14, 0x56, 0x50, 0xc9, 0x4f, 0xb8, 0xb8, 0x1e, 0xa3, 0xf4, + 0xab, 0xf5, 0xa9, 0x20, 0x15, 0x94, 0x82, 0xda, 0x96, 0x1c, 0x9b, 0x59, 0x8c, 0xff, 0xf4, 0x51]) , + fe([0xc1, 0x3a, 0x86, 0xd7, 0xb0, 0x06, 0x84, 0x7f, 0x1b, 0xbd, 0xd4, 0x07, 0x78, 0x80, 0x2e, 0xb1, + 0xb4, 0xee, 0x52, 0x38, 0xee, 0x9a, 0xf9, 0xf6, 0xf3, 0x41, 0x6e, 0xd4, 0x88, 0x95, 0xac, 0x35])) + ) + v.append( + aff(fe([0x41, 0x97, 0xbf, 0x71, 0x6a, 0x9b, 0x72, 0xec, 0xf3, 0xf8, 0x6b, 0xe6, 0x0e, 0x6c, 0x69, 0xa5, + 0x2f, 0x68, 0x52, 0xd8, 0x61, 0x81, 0xc0, 0x63, 0x3f, 0xa6, 0x3c, 0x13, 0x90, 0xe6, 0x8d, 0x56]) , + fe([0xe8, 0x39, 0x30, 0x77, 0x23, 0xb1, 0xfd, 0x1b, 0x3d, 0x3e, 0x74, 0x4d, 0x7f, 0xae, 0x5b, 0x3a, + 0xb4, 0x65, 0x0e, 0x3a, 0x43, 0xdc, 0xdc, 0x41, 0x47, 0xe6, 0xe8, 0x92, 0x09, 0x22, 0x48, 0x4c])) + ) + v.append( + aff(fe([0x85, 0x57, 0x9f, 0xb5, 0xc8, 0x06, 0xb2, 0x9f, 0x47, 0x3f, 0xf0, 0xfa, 0xe6, 0xa9, 0xb1, 0x9b, + 0x6f, 0x96, 0x7d, 0xf9, 0xa4, 0x65, 0x09, 0x75, 0x32, 0xa6, 0x6c, 0x7f, 0x47, 0x4b, 0x2f, 0x4f]) , + fe([0x34, 0xe9, 0x59, 0x93, 0x9d, 0x26, 0x80, 0x54, 0xf2, 0xcc, 0x3c, 0xc2, 0x25, 0x85, 0xe3, 0x6a, + 0xc1, 0x62, 0x04, 0xa7, 0x08, 0x32, 0x6d, 0xa1, 0x39, 0x84, 0x8a, 0x3b, 0x87, 0x5f, 0x11, 0x13])) + ) + v.append( + aff(fe([0xda, 0x03, 0x34, 0x66, 0xc4, 0x0c, 0x73, 0x6e, 0xbc, 0x24, 0xb5, 0xf9, 0x70, 0x81, 0x52, 0xe9, + 0xf4, 0x7c, 0x23, 0xdd, 0x9f, 0xb8, 0x46, 0xef, 0x1d, 0x22, 0x55, 0x7d, 0x71, 0xc4, 0x42, 0x33]) , + fe([0xc5, 0x37, 0x69, 0x5b, 0xa8, 0xc6, 0x9d, 0xa4, 0xfc, 0x61, 0x6e, 0x68, 0x46, 0xea, 0xd7, 0x1c, + 0x67, 0xd2, 0x7d, 0xfa, 0xf1, 0xcc, 0x54, 0x8d, 0x36, 0x35, 0xc9, 0x00, 0xdf, 0x6c, 0x67, 0x50])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x9a, 0x4d, 0x42, 0x29, 0x5d, 0xa4, 0x6b, 0x6f, 0xa8, 0x8a, 0x4d, 0x91, 0x7b, 0xd2, 0xdf, 0x36, + 0xef, 0x01, 0x22, 0xc5, 0xcc, 0x8d, 0xeb, 0x58, 0x3d, 0xb3, 0x50, 0xfc, 0x8b, 0x97, 0x96, 0x33]) , + fe([0x93, 0x33, 0x07, 0xc8, 0x4a, 0xca, 0xd0, 0xb1, 0xab, 0xbd, 0xdd, 0xa7, 0x7c, 0xac, 0x3e, 0x45, + 0xcb, 0xcc, 0x07, 0x91, 0xbf, 0x35, 0x9d, 0xcb, 0x7d, 0x12, 0x3c, 0x11, 0x59, 0x13, 0xcf, 0x5c])) + ) + v.append( + aff(fe([0x45, 0xb8, 0x41, 0xd7, 0xab, 0x07, 0x15, 0x00, 0x8e, 0xce, 0xdf, 0xb2, 0x43, 0x5c, 0x01, 0xdc, + 0xf4, 0x01, 0x51, 0x95, 0x10, 0x5a, 0xf6, 0x24, 0x24, 0xa0, 0x19, 0x3a, 0x09, 0x2a, 0xaa, 0x3f]) , + fe([0xdc, 0x8e, 0xeb, 0xc6, 0xbf, 0xdd, 0x11, 0x7b, 0xe7, 0x47, 0xe6, 0xce, 0xe7, 0xb6, 0xc5, 0xe8, + 0x8a, 0xdc, 0x4b, 0x57, 0x15, 0x3b, 0x66, 0xca, 0x89, 0xa3, 0xfd, 0xac, 0x0d, 0xe1, 0x1d, 0x7a])) + ) + v.append( + aff(fe([0x89, 0xef, 0xbf, 0x03, 0x75, 0xd0, 0x29, 0x50, 0xcb, 0x7d, 0xd6, 0xbe, 0xad, 0x5f, 0x7b, 0x00, + 0x32, 0xaa, 0x98, 0xed, 0x3f, 0x8f, 0x92, 0xcb, 0x81, 0x56, 0x01, 0x63, 0x64, 0xa3, 0x38, 0x39]) , + fe([0x8b, 0xa4, 0xd6, 0x50, 0xb4, 0xaa, 0x5d, 0x64, 0x64, 0x76, 0x2e, 0xa1, 0xa6, 0xb3, 0xb8, 0x7c, + 0x7a, 0x56, 0xf5, 0x5c, 0x4e, 0x84, 0x5c, 0xfb, 0xdd, 0xca, 0x48, 0x8b, 0x48, 0xb9, 0xba, 0x34])) + ) + v.append( + aff(fe([0xc5, 0xe3, 0xe8, 0xae, 0x17, 0x27, 0xe3, 0x64, 0x60, 0x71, 0x47, 0x29, 0x02, 0x0f, 0x92, 0x5d, + 0x10, 0x93, 0xc8, 0x0e, 0xa1, 0xed, 0xba, 0xa9, 0x96, 0x1c, 0xc5, 0x76, 0x30, 0xcd, 0xf9, 0x30]) , + fe([0x95, 0xb0, 0xbd, 0x8c, 0xbc, 0xa7, 0x4f, 0x7e, 0xfd, 0x4e, 0x3a, 0xbf, 0x5f, 0x04, 0x79, 0x80, + 0x2b, 0x5a, 0x9f, 0x4f, 0x68, 0x21, 0x19, 0x71, 0xc6, 0x20, 0x01, 0x42, 0xaa, 0xdf, 0xae, 0x2c])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x90, 0x6e, 0x7e, 0x4b, 0x71, 0x93, 0xc0, 0x72, 0xed, 0xeb, 0x71, 0x24, 0x97, 0x26, 0x9c, 0xfe, + 0xcb, 0x3e, 0x59, 0x19, 0xa8, 0x0f, 0x75, 0x7d, 0xbe, 0x18, 0xe6, 0x96, 0x1e, 0x95, 0x70, 0x60]) , + fe([0x89, 0x66, 0x3e, 0x1d, 0x4c, 0x5f, 0xfe, 0xc0, 0x04, 0x43, 0xd6, 0x44, 0x19, 0xb5, 0xad, 0xc7, + 0x22, 0xdc, 0x71, 0x28, 0x64, 0xde, 0x41, 0x38, 0x27, 0x8f, 0x2c, 0x6b, 0x08, 0xb8, 0xb8, 0x7b])) + ) + v.append( + aff(fe([0x3d, 0x70, 0x27, 0x9d, 0xd9, 0xaf, 0xb1, 0x27, 0xaf, 0xe3, 0x5d, 0x1e, 0x3a, 0x30, 0x54, 0x61, + 0x60, 0xe8, 0xc3, 0x26, 0x3a, 0xbc, 0x7e, 0xf5, 0x81, 0xdd, 0x64, 0x01, 0x04, 0xeb, 0xc0, 0x1e]) , + fe([0xda, 0x2c, 0xa4, 0xd1, 0xa1, 0xc3, 0x5c, 0x6e, 0x32, 0x07, 0x1f, 0xb8, 0x0e, 0x19, 0x9e, 0x99, + 0x29, 0x33, 0x9a, 0xae, 0x7a, 0xed, 0x68, 0x42, 0x69, 0x7c, 0x07, 0xb3, 0x38, 0x2c, 0xf6, 0x3d])) + ) + v.append( + aff(fe([0x64, 0xaa, 0xb5, 0x88, 0x79, 0x65, 0x38, 0x8c, 0x94, 0xd6, 0x62, 0x37, 0x7d, 0x64, 0xcd, 0x3a, + 0xeb, 0xff, 0xe8, 0x81, 0x09, 0xc7, 0x6a, 0x50, 0x09, 0x0d, 0x28, 0x03, 0x0d, 0x9a, 0x93, 0x0a]) , + fe([0x42, 0xa3, 0xf1, 0xc5, 0xb4, 0x0f, 0xd8, 0xc8, 0x8d, 0x15, 0x31, 0xbd, 0xf8, 0x07, 0x8b, 0xcd, + 0x08, 0x8a, 0xfb, 0x18, 0x07, 0xfe, 0x8e, 0x52, 0x86, 0xef, 0xbe, 0xec, 0x49, 0x52, 0x99, 0x08])) + ) + v.append( + aff(fe([0x0f, 0xa9, 0xd5, 0x01, 0xaa, 0x48, 0x4f, 0x28, 0x66, 0x32, 0x1a, 0xba, 0x7c, 0xea, 0x11, 0x80, + 0x17, 0x18, 0x9b, 0x56, 0x88, 0x25, 0x06, 0x69, 0x12, 0x2c, 0xea, 0x56, 0x69, 0x41, 0x24, 0x19]) , + fe([0xde, 0x21, 0xf0, 0xda, 0x8a, 0xfb, 0xb1, 0xb8, 0xcd, 0xc8, 0x6a, 0x82, 0x19, 0x73, 0xdb, 0xc7, + 0xcf, 0x88, 0xeb, 0x96, 0xee, 0x6f, 0xfb, 0x06, 0xd2, 0xcd, 0x7d, 0x7b, 0x12, 0x28, 0x8e, 0x0c])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x93, 0x44, 0x97, 0xce, 0x28, 0xff, 0x3a, 0x40, 0xc4, 0xf5, 0xf6, 0x9b, 0xf4, 0x6b, 0x07, 0x84, + 0xfb, 0x98, 0xd8, 0xec, 0x8c, 0x03, 0x57, 0xec, 0x49, 0xed, 0x63, 0xb6, 0xaa, 0xff, 0x98, 0x28]) , + fe([0x3d, 0x16, 0x35, 0xf3, 0x46, 0xbc, 0xb3, 0xf4, 0xc6, 0xb6, 0x4f, 0xfa, 0xf4, 0xa0, 0x13, 0xe6, + 0x57, 0x45, 0x93, 0xb9, 0xbc, 0xd6, 0x59, 0xe7, 0x77, 0x94, 0x6c, 0xab, 0x96, 0x3b, 0x4f, 0x09])) + ) + v.append( + aff(fe([0x5a, 0xf7, 0x6b, 0x01, 0x12, 0x4f, 0x51, 0xc1, 0x70, 0x84, 0x94, 0x47, 0xb2, 0x01, 0x6c, 0x71, + 0xd7, 0xcc, 0x17, 0x66, 0x0f, 0x59, 0x5d, 0x5d, 0x10, 0x01, 0x57, 0x11, 0xf5, 0xdd, 0xe2, 0x34]) , + fe([0x26, 0xd9, 0x1f, 0x5c, 0x58, 0xac, 0x8b, 0x03, 0xd2, 0xc3, 0x85, 0x0f, 0x3a, 0xc3, 0x7f, 0x6d, + 0x8e, 0x86, 0xcd, 0x52, 0x74, 0x8f, 0x55, 0x77, 0x17, 0xb7, 0x8e, 0xb7, 0x88, 0xea, 0xda, 0x1b])) + ) + v.append( + aff(fe([0xb6, 0xea, 0x0e, 0x40, 0x93, 0x20, 0x79, 0x35, 0x6a, 0x61, 0x84, 0x5a, 0x07, 0x6d, 0xf9, 0x77, + 0x6f, 0xed, 0x69, 0x1c, 0x0d, 0x25, 0x76, 0xcc, 0xf0, 0xdb, 0xbb, 0xc5, 0xad, 0xe2, 0x26, 0x57]) , + fe([0xcf, 0xe8, 0x0e, 0x6b, 0x96, 0x7d, 0xed, 0x27, 0xd1, 0x3c, 0xa9, 0xd9, 0x50, 0xa9, 0x98, 0x84, + 0x5e, 0x86, 0xef, 0xd6, 0xf0, 0xf8, 0x0e, 0x89, 0x05, 0x2f, 0xd9, 0x5f, 0x15, 0x5f, 0x73, 0x79])) + ) + v.append( + aff(fe([0xc8, 0x5c, 0x16, 0xfe, 0xed, 0x9f, 0x26, 0x56, 0xf6, 0x4b, 0x9f, 0xa7, 0x0a, 0x85, 0xfe, 0xa5, + 0x8c, 0x87, 0xdd, 0x98, 0xce, 0x4e, 0xc3, 0x58, 0x55, 0xb2, 0x7b, 0x3d, 0xd8, 0x6b, 0xb5, 0x4c]) , + fe([0x65, 0x38, 0xa0, 0x15, 0xfa, 0xa7, 0xb4, 0x8f, 0xeb, 0xc4, 0x86, 0x9b, 0x30, 0xa5, 0x5e, 0x4d, + 0xea, 0x8a, 0x9a, 0x9f, 0x1a, 0xd8, 0x5b, 0x53, 0x14, 0x19, 0x25, 0x63, 0xb4, 0x6f, 0x1f, 0x5d])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xac, 0x8f, 0xbc, 0x1e, 0x7d, 0x8b, 0x5a, 0x0b, 0x8d, 0xaf, 0x76, 0x2e, 0x71, 0xe3, 0x3b, 0x6f, + 0x53, 0x2f, 0x3e, 0x90, 0x95, 0xd4, 0x35, 0x14, 0x4f, 0x8c, 0x3c, 0xce, 0x57, 0x1c, 0x76, 0x49]) , + fe([0xa8, 0x50, 0xe1, 0x61, 0x6b, 0x57, 0x35, 0xeb, 0x44, 0x0b, 0x0c, 0x6e, 0xf9, 0x25, 0x80, 0x74, + 0xf2, 0x8f, 0x6f, 0x7a, 0x3e, 0x7f, 0x2d, 0xf3, 0x4e, 0x09, 0x65, 0x10, 0x5e, 0x03, 0x25, 0x32])) + ) + v.append( + aff(fe([0xa9, 0x60, 0xdc, 0x0f, 0x64, 0xe5, 0x1d, 0xe2, 0x8d, 0x4f, 0x79, 0x2f, 0x0e, 0x24, 0x02, 0x00, + 0x05, 0x77, 0x43, 0x25, 0x3d, 0x6a, 0xc7, 0xb7, 0xbf, 0x04, 0x08, 0x65, 0xf4, 0x39, 0x4b, 0x65]) , + fe([0x96, 0x19, 0x12, 0x6b, 0x6a, 0xb7, 0xe3, 0xdc, 0x45, 0x9b, 0xdb, 0xb4, 0xa8, 0xae, 0xdc, 0xa8, + 0x14, 0x44, 0x65, 0x62, 0xce, 0x34, 0x9a, 0x84, 0x18, 0x12, 0x01, 0xf1, 0xe2, 0x7b, 0xce, 0x50])) + ) + v.append( + aff(fe([0x41, 0x21, 0x30, 0x53, 0x1b, 0x47, 0x01, 0xb7, 0x18, 0xd8, 0x82, 0x57, 0xbd, 0xa3, 0x60, 0xf0, + 0x32, 0xf6, 0x5b, 0xf0, 0x30, 0x88, 0x91, 0x59, 0xfd, 0x90, 0xa2, 0xb9, 0x55, 0x93, 0x21, 0x34]) , + fe([0x97, 0x67, 0x9e, 0xeb, 0x6a, 0xf9, 0x6e, 0xd6, 0x73, 0xe8, 0x6b, 0x29, 0xec, 0x63, 0x82, 0x00, + 0xa8, 0x99, 0x1c, 0x1d, 0x30, 0xc8, 0x90, 0x52, 0x90, 0xb6, 0x6a, 0x80, 0x4e, 0xff, 0x4b, 0x51])) + ) + v.append( + aff(fe([0x0f, 0x7d, 0x63, 0x8c, 0x6e, 0x5c, 0xde, 0x30, 0xdf, 0x65, 0xfa, 0x2e, 0xb0, 0xa3, 0x25, 0x05, + 0x54, 0xbd, 0x25, 0xba, 0x06, 0xae, 0xdf, 0x8b, 0xd9, 0x1b, 0xea, 0x38, 0xb3, 0x05, 0x16, 0x09]) , + fe([0xc7, 0x8c, 0xbf, 0x64, 0x28, 0xad, 0xf8, 0xa5, 0x5a, 0x6f, 0xc9, 0xba, 0xd5, 0x7f, 0xd5, 0xd6, + 0xbd, 0x66, 0x2f, 0x3d, 0xaa, 0x54, 0xf6, 0xba, 0x32, 0x22, 0x9a, 0x1e, 0x52, 0x05, 0xf4, 0x1d])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xaa, 0x1f, 0xbb, 0xeb, 0xfe, 0xe4, 0x87, 0xfc, 0xb1, 0x2c, 0xb7, 0x88, 0xf4, 0xc6, 0xb9, 0xf5, + 0x24, 0x46, 0xf2, 0xa5, 0x9f, 0x8f, 0x8a, 0x93, 0x70, 0x69, 0xd4, 0x56, 0xec, 0xfd, 0x06, 0x46]) , + fe([0x4e, 0x66, 0xcf, 0x4e, 0x34, 0xce, 0x0c, 0xd9, 0xa6, 0x50, 0xd6, 0x5e, 0x95, 0xaf, 0xe9, 0x58, + 0xfa, 0xee, 0x9b, 0xb8, 0xa5, 0x0f, 0x35, 0xe0, 0x43, 0x82, 0x6d, 0x65, 0xe6, 0xd9, 0x00, 0x0f])) + ) + v.append( + aff(fe([0x7b, 0x75, 0x3a, 0xfc, 0x64, 0xd3, 0x29, 0x7e, 0xdd, 0x49, 0x9a, 0x59, 0x53, 0xbf, 0xb4, 0xa7, + 0x52, 0xb3, 0x05, 0xab, 0xc3, 0xaf, 0x16, 0x1a, 0x85, 0x42, 0x32, 0xa2, 0x86, 0xfa, 0x39, 0x43]) , + fe([0x0e, 0x4b, 0xa3, 0x63, 0x8a, 0xfe, 0xa5, 0x58, 0xf1, 0x13, 0xbd, 0x9d, 0xaa, 0x7f, 0x76, 0x40, + 0x70, 0x81, 0x10, 0x75, 0x99, 0xbb, 0xbe, 0x0b, 0x16, 0xe9, 0xba, 0x62, 0x34, 0xcc, 0x07, 0x6d])) + ) + v.append( + aff(fe([0xc3, 0xf1, 0xc6, 0x93, 0x65, 0xee, 0x0b, 0xbc, 0xea, 0x14, 0xf0, 0xc1, 0xf8, 0x84, 0x89, 0xc2, + 0xc9, 0xd7, 0xea, 0x34, 0xca, 0xa7, 0xc4, 0x99, 0xd5, 0x50, 0x69, 0xcb, 0xd6, 0x21, 0x63, 0x7c]) , + fe([0x99, 0xeb, 0x7c, 0x31, 0x73, 0x64, 0x67, 0x7f, 0x0c, 0x66, 0xaa, 0x8c, 0x69, 0x91, 0xe2, 0x26, + 0xd3, 0x23, 0xe2, 0x76, 0x5d, 0x32, 0x52, 0xdf, 0x5d, 0xc5, 0x8f, 0xb7, 0x7c, 0x84, 0xb3, 0x70])) + ) + v.append( + aff(fe([0xeb, 0x01, 0xc7, 0x36, 0x97, 0x4e, 0xb6, 0xab, 0x5f, 0x0d, 0x2c, 0xba, 0x67, 0x64, 0x55, 0xde, + 0xbc, 0xff, 0xa6, 0xec, 0x04, 0xd3, 0x8d, 0x39, 0x56, 0x5e, 0xee, 0xf8, 0xe4, 0x2e, 0x33, 0x62]) , + fe([0x65, 0xef, 0xb8, 0x9f, 0xc8, 0x4b, 0xa7, 0xfd, 0x21, 0x49, 0x9b, 0x92, 0x35, 0x82, 0xd6, 0x0a, + 0x9b, 0xf2, 0x79, 0xf1, 0x47, 0x2f, 0x6a, 0x7e, 0x9f, 0xcf, 0x18, 0x02, 0x3c, 0xfb, 0x1b, 0x3e])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x2f, 0x8b, 0xc8, 0x40, 0x51, 0xd1, 0xac, 0x1a, 0x0b, 0xe4, 0xa9, 0xa2, 0x42, 0x21, 0x19, 0x2f, + 0x7b, 0x97, 0xbf, 0xf7, 0x57, 0x6d, 0x3f, 0x3d, 0x4f, 0x0f, 0xe2, 0xb2, 0x81, 0x00, 0x9e, 0x7b]) , + fe([0x8c, 0x85, 0x2b, 0xc4, 0xfc, 0xf1, 0xab, 0xe8, 0x79, 0x22, 0xc4, 0x84, 0x17, 0x3a, 0xfa, 0x86, + 0xa6, 0x7d, 0xf9, 0xf3, 0x6f, 0x03, 0x57, 0x20, 0x4d, 0x79, 0xf9, 0x6e, 0x71, 0x54, 0x38, 0x09])) + ) + v.append( + aff(fe([0x40, 0x29, 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0xcb, 0x8d, 0x91, 0x13, 0xda, 0x6b]) , + fe([0x36, 0x0a, 0xc2, 0xb6, 0x4b, 0xa5, 0x5d, 0x07, 0x17, 0x41, 0x31, 0x5f, 0x62, 0x46, 0xf8, 0x92, + 0xf9, 0x66, 0x48, 0x73, 0xa6, 0x97, 0x0d, 0x7d, 0x88, 0xee, 0x62, 0xb1, 0x03, 0xa8, 0x3f, 0x2c])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x4a, 0xb1, 0x70, 0x8a, 0xa9, 0xe8, 0x63, 0x79, 0x00, 0xe2, 0x25, 0x16, 0xca, 0x4b, 0x0f, 0xa4, + 0x66, 0xad, 0x19, 0x9f, 0x88, 0x67, 0x0c, 0x8b, 0xc2, 0x4a, 0x5b, 0x2b, 0x6d, 0x95, 0xaf, 0x19]) , + fe([0x8b, 0x9d, 0xb6, 0xcc, 0x60, 0xb4, 0x72, 0x4f, 0x17, 0x69, 0x5a, 0x4a, 0x68, 0x34, 0xab, 0xa1, + 0x45, 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0xa4, 0x4d]) , + fe([0x65, 0x6e, 0x0a, 0xa4, 0x59, 0x07, 0x17, 0xf2, 0x6b, 0x4a, 0x1f, 0x6e, 0xf6, 0xb5, 0xbc, 0x62, + 0xe4, 0xb6, 0xda, 0xa2, 0x93, 0xbc, 0x29, 0x05, 0xd2, 0xd2, 0x73, 0x46, 0x03, 0x16, 0x40, 0x31])) + ) + v.append( + aff(fe([0x4c, 0x73, 0x6d, 0x15, 0xbd, 0xa1, 0x4d, 0x5c, 0x13, 0x0b, 0x24, 0x06, 0x98, 0x78, 0x1c, 0x5b, + 0xeb, 0x1f, 0x18, 0x54, 0x43, 0xd9, 0x55, 0x66, 0xda, 0x29, 0x21, 0xe8, 0xb8, 0x3c, 0x42, 0x22]) , + fe([0xb4, 0xcd, 0x08, 0x6f, 0x15, 0x23, 0x1a, 0x0b, 0x22, 0xed, 0xd1, 0xf1, 0xa7, 0xc7, 0x73, 0x45, + 0xf3, 0x9e, 0xce, 0x76, 0xb7, 0xf6, 0x39, 0xb6, 0x8e, 0x79, 0xbe, 0xe9, 0x9b, 0xcf, 0x7d, 0x62])) + ) + v.append( + aff(fe([0x92, 0x5b, 0xfc, 0x72, 0xfd, 0xba, 0xf1, 0xfd, 0xa6, 0x7c, 0x95, 0xe3, 0x61, 0x3f, 0xe9, 0x03, + 0xd4, 0x2b, 0xd4, 0x20, 0xd9, 0xdb, 0x4d, 0x32, 0x3e, 0xf5, 0x11, 0x64, 0xe3, 0xb4, 0xbe, 0x32]) , + fe([0x86, 0x17, 0x90, 0xe7, 0xc9, 0x1f, 0x10, 0xa5, 0x6a, 0x2d, 0x39, 0xd0, 0x3b, 0xc4, 0xa6, 0xe9, + 0x59, 0x13, 0xda, 0x1a, 0xe6, 0xa0, 0xb9, 0x3c, 0x50, 0xb8, 0x40, 0x7c, 0x15, 0x36, 0x5a, 0x42])) + ) + v.append( + aff(fe([0xb4, 0x0b, 0x32, 0xab, 0xdc, 0x04, 0x51, 0x55, 0x21, 0x1e, 0x0b, 0x75, 0x99, 0x89, 0x73, 0x35, + 0x3a, 0x91, 0x2b, 0xfe, 0xe7, 0x49, 0xea, 0x76, 0xc1, 0xf9, 0x46, 0xb9, 0x53, 0x02, 0x23, 0x04]) , + fe([0xfc, 0x5a, 0x1e, 0x1d, 0x74, 0x58, 0x95, 0xa6, 0x8f, 0x7b, 0x97, 0x3e, 0x17, 0x3b, 0x79, 0x2d, + 0xa6, 0x57, 0xef, 0x45, 0x02, 0x0b, 0x4d, 0x6e, 0x9e, 0x93, 0x8d, 0x2f, 0xd9, 0x9d, 0xdb, 0x04])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xc0, 0xd7, 0x56, 0x97, 0x58, 0x91, 0xde, 0x09, 0x4f, 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fe([0x02, 0xfb, 0x54, 0xb8, 0x05, 0xf3, 0x81, 0x52, 0x69, 0x34, 0x46, 0x9d, 0x86, 0x76, 0x8f, 0xd7, + 0xf8, 0x6a, 0x66, 0xff, 0xe6, 0xa7, 0x90, 0xf7, 0x5e, 0xcd, 0x6a, 0x9b, 0x55, 0xfc, 0x9d, 0x48])) + ) + v.append( + aff(fe([0xbd, 0xaa, 0x13, 0xe6, 0xcd, 0x45, 0x4a, 0xa4, 0x59, 0x0a, 0x64, 0xb1, 0x98, 0xd6, 0x34, 0x13, + 0x04, 0xe6, 0x97, 0x94, 0x06, 0xcb, 0xd4, 0x4e, 0xbb, 0x96, 0xcd, 0xd1, 0x57, 0xd1, 0xe3, 0x06]) , + fe([0x7a, 0x6c, 0x45, 0x27, 0xc4, 0x93, 0x7f, 0x7d, 0x7c, 0x62, 0x50, 0x38, 0x3a, 0x6b, 0xb5, 0x88, + 0xc6, 0xd9, 0xf1, 0x78, 0x19, 0xb9, 0x39, 0x93, 0x3d, 0xc9, 0xe0, 0x9c, 0x3c, 0xce, 0xf5, 0x72])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x24, 0xea, 0x23, 0x7d, 0x56, 0x2c, 0xe2, 0x59, 0x0e, 0x85, 0x60, 0x04, 0x88, 0x5a, 0x74, 0x1e, + 0x4b, 0xef, 0x13, 0xda, 0x4c, 0xff, 0x83, 0x45, 0x85, 0x3f, 0x08, 0x95, 0x2c, 0x20, 0x13, 0x1f]) , + fe([0x48, 0x5f, 0x27, 0x90, 0x5c, 0x02, 0x42, 0xad, 0x78, 0x47, 0x5c, 0xb5, 0x7e, 0x08, 0x85, 0x00, + 0xfa, 0x7f, 0xfd, 0xfd, 0xe7, 0x09, 0x11, 0xf2, 0x7e, 0x1b, 0x38, 0x6c, 0x35, 0x6d, 0x33, 0x66])) + ) + v.append( + aff(fe([0x93, 0x03, 0x36, 0x81, 0xac, 0xe4, 0x20, 0x09, 0x35, 0x4c, 0x45, 0xb2, 0x1e, 0x4c, 0x14, 0x21, + 0xe6, 0xe9, 0x8a, 0x7b, 0x8d, 0xfe, 0x1e, 0xc6, 0x3e, 0xc1, 0x35, 0xfa, 0xe7, 0x70, 0x4e, 0x1d]) , + fe([0x61, 0x2e, 0xc2, 0xdd, 0x95, 0x57, 0xd1, 0xab, 0x80, 0xe8, 0x63, 0x17, 0xb5, 0x48, 0xe4, 0x8a, + 0x11, 0x9e, 0x72, 0xbe, 0x85, 0x8d, 0x51, 0x0a, 0xf2, 0x9f, 0xe0, 0x1c, 0xa9, 0x07, 0x28, 0x7b])) + ) + v.append( + aff(fe([0xbb, 0x71, 0x14, 0x5e, 0x26, 0x8c, 0x3d, 0xc8, 0xe9, 0x7c, 0xd3, 0xd6, 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0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x85, 0xe0, 0x24, 0x32, 0xb4, 0xd1, 0xef, 0xfc, 0x69, 0xa2, 0xbf, 0x8f, 0x72, 0x2c, 0x95, 0xf6, + 0xe4, 0x6e, 0x7d, 0x90, 0xf7, 0x57, 0x81, 0xa0, 0xf7, 0xda, 0xef, 0x33, 0x07, 0xe3, 0x6b, 0x78]) , + fe([0x36, 0x27, 0x3e, 0xc6, 0x12, 0x07, 0xab, 0x4e, 0xbe, 0x69, 0x9d, 0xb3, 0xbe, 0x08, 0x7c, 0x2a, + 0x47, 0x08, 0xfd, 0xd4, 0xcd, 0x0e, 0x27, 0x34, 0x5b, 0x98, 0x34, 0x2f, 0x77, 0x5f, 0x3a, 0x65])) + ) + v.append( + aff(fe([0x13, 0xaa, 0x2e, 0x4c, 0xf0, 0x22, 0xb8, 0x6c, 0xb3, 0x19, 0x4d, 0xeb, 0x6b, 0xd0, 0xa4, 0xc6, + 0x9c, 0xdd, 0xc8, 0x5b, 0x81, 0x57, 0x89, 0xdf, 0x33, 0xa9, 0x68, 0x49, 0x80, 0xe4, 0xfe, 0x21]) , + fe([0x00, 0x17, 0x90, 0x30, 0xe9, 0xd3, 0x60, 0x30, 0x31, 0xc2, 0x72, 0x89, 0x7a, 0x36, 0xa5, 0xbd, + 0x39, 0x83, 0x85, 0x50, 0xa1, 0x5d, 0x6c, 0x41, 0x1d, 0xb5, 0x2c, 0x07, 0x40, 0x77, 0x0b, 0x50])) + ) + v.append( + aff(fe([0x64, 0x34, 0xec, 0xc0, 0x9e, 0x44, 0x41, 0xaf, 0xa0, 0x36, 0x05, 0x6d, 0xea, 0x30, 0x25, 0x46, + 0x35, 0x24, 0x9d, 0x86, 0xbd, 0x95, 0xf1, 0x6a, 0x46, 0xd7, 0x94, 0x54, 0xf9, 0x3b, 0xbd, 0x5d]) , + fe([0x77, 0x5b, 0xe2, 0x37, 0xc7, 0xe1, 0x7c, 0x13, 0x8c, 0x9f, 0x7b, 0x7b, 0x2a, 0xce, 0x42, 0xa3, + 0xb9, 0x2a, 0x99, 0xa8, 0xc0, 0xd8, 0x3c, 0x86, 0xb0, 0xfb, 0xe9, 0x76, 0x77, 0xf7, 0xf5, 0x56])) + ) + v.append( + aff(fe([0xdf, 0xb3, 0x46, 0x11, 0x6e, 0x13, 0xb7, 0x28, 0x4e, 0x56, 0xdd, 0xf1, 0xac, 0xad, 0x58, 0xc3, + 0xf8, 0x88, 0x94, 0x5e, 0x06, 0x98, 0xa1, 0xe4, 0x6a, 0xfb, 0x0a, 0x49, 0x5d, 0x8a, 0xfe, 0x77]) , + fe([0x46, 0x02, 0xf5, 0xa5, 0xaf, 0xc5, 0x75, 0x6d, 0xba, 0x45, 0x35, 0x0a, 0xfe, 0xc9, 0xac, 0x22, + 0x91, 0x8d, 0x21, 0x95, 0x33, 0x03, 0xc0, 0x8a, 0x16, 0xf3, 0x39, 0xe0, 0x01, 0x0f, 0x53, 0x3c])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0xa4, 0x4e, 0xa9, 0x8b, 0x1e, 0x4b, 0xfc, 0x15, 0x24, 0xbb, + 0x7e, 0xcb, 0xb6, 0x1e, 0x1b, 0xf5, 0xf2, 0xc8, 0x56, 0xec, 0x32, 0xa2, 0x60, 0x5b, 0xa0, 0x2a])) + ) + v.append( + aff(fe([0xa4, 0x29, 0x47, 0x86, 0x2e, 0x92, 0x4f, 0x11, 0x4f, 0xf3, 0xb2, 0x5c, 0xd5, 0x3e, 0xa6, 0xb9, + 0xc8, 0xe2, 0x33, 0x11, 0x1f, 0x01, 0x8f, 0xb0, 0x9b, 0xc7, 0xa5, 0xff, 0x83, 0x0f, 0x1e, 0x28]) , + fe([0x1d, 0x29, 0x7a, 0xa1, 0xec, 0x8e, 0xb5, 0xad, 0xea, 0x02, 0x68, 0x60, 0x74, 0x29, 0x1c, 0xa5, + 0xcf, 0xc8, 0x3b, 0x7d, 0x8b, 0x2b, 0x7c, 0xad, 0xa4, 0x40, 0x17, 0x51, 0x59, 0x7c, 0x2e, 0x5d])) + ) + v.append( + aff(fe([0x0a, 0x6c, 0x4f, 0xbc, 0x3e, 0x32, 0xe7, 0x4a, 0x1a, 0x13, 0xc1, 0x49, 0x38, 0xbf, 0xf7, 0xc2, + 0xd3, 0x8f, 0x6b, 0xad, 0x52, 0xf7, 0xcf, 0xbc, 0x27, 0xcb, 0x40, 0x67, 0x76, 0xcd, 0x6d, 0x56]) , + fe([0xe5, 0xb0, 0x27, 0xad, 0xbe, 0x9b, 0xf2, 0xb5, 0x63, 0xde, 0x3a, 0x23, 0x95, 0xb7, 0x0a, 0x7e, + 0xf3, 0x9e, 0x45, 0x6f, 0x19, 0x39, 0x75, 0x8f, 0x39, 0x3d, 0x0f, 0xc0, 0x9f, 0xf1, 0xe9, 0x51])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x88, 0xaa, 0x14, 0x24, 0x86, 0x94, 0x11, 0x12, 0x3e, 0x1a, 0xb5, 0xcc, 0xbb, 0xe0, 0x9c, 0xd5, + 0x9c, 0x6d, 0xba, 0x58, 0x72, 0x8d, 0xfb, 0x22, 0x7b, 0x9f, 0x7c, 0x94, 0x30, 0xb3, 0x51, 0x21]) , + fe([0xf6, 0x74, 0x3d, 0xf2, 0xaf, 0xd0, 0x1e, 0x03, 0x7c, 0x23, 0x6b, 0xc9, 0xfc, 0x25, 0x70, 0x90, + 0xdc, 0x9a, 0xa4, 0xfb, 0x49, 0xfc, 0x3d, 0x0a, 0x35, 0x38, 0x6f, 0xe4, 0x7e, 0x50, 0x01, 0x2a])) + ) + v.append( + aff(fe([0xd6, 0xe3, 0x96, 0x61, 0x3a, 0xfd, 0xef, 0x9b, 0x1f, 0x90, 0xa4, 0x24, 0x14, 0x5b, 0xc8, 0xde, + 0x50, 0xb1, 0x1d, 0xaf, 0xe8, 0x55, 0x8a, 0x87, 0x0d, 0xfe, 0xaa, 0x3b, 0x82, 0x2c, 0x8d, 0x7b]) , + fe([0x85, 0x0c, 0xaf, 0xf8, 0x83, 0x44, 0x49, 0xd9, 0x45, 0xcf, 0xf7, 0x48, 0xd9, 0x53, 0xb4, 0xf1, + 0x65, 0xa0, 0xe1, 0xc3, 0xb3, 0x15, 0xed, 0x89, 0x9b, 0x4f, 0x62, 0xb3, 0x57, 0xa5, 0x45, 0x1c])) + ) + v.append( + aff(fe([0x8f, 0x12, 0xea, 0xaf, 0xd1, 0x1f, 0x79, 0x10, 0x0b, 0xf6, 0xa3, 0x7b, 0xea, 0xac, 0x8b, 0x57, + 0x32, 0x62, 0xe7, 0x06, 0x12, 0x51, 0xa0, 0x3b, 0x43, 0x5e, 0xa4, 0x20, 0x78, 0x31, 0xce, 0x0d]) , + fe([0x84, 0x7c, 0xc2, 0xa6, 0x91, 0x23, 0xce, 0xbd, 0xdc, 0xf9, 0xce, 0xd5, 0x75, 0x30, 0x22, 0xe6, + 0xf9, 0x43, 0x62, 0x0d, 0xf7, 0x75, 0x9d, 0x7f, 0x8c, 0xff, 0x7d, 0xe4, 0x72, 0xac, 0x9f, 0x1c])) + ) + v.append( + aff(fe([0x88, 0xc1, 0x99, 0xd0, 0x3c, 0x1c, 0x5d, 0xb4, 0xef, 0x13, 0x0f, 0x90, 0xb9, 0x36, 0x2f, 0x95, + 0x95, 0xc6, 0xdc, 0xde, 0x0a, 0x51, 0xe2, 0x8d, 0xf3, 0xbc, 0x51, 0xec, 0xdf, 0xb1, 0xa2, 0x5f]) , + fe([0x2e, 0x68, 0xa1, 0x23, 0x7d, 0x9b, 0x40, 0x69, 0x85, 0x7b, 0x42, 0xbf, 0x90, 0x4b, 0xd6, 0x40, + 0x2f, 0xd7, 0x52, 0x52, 0xb2, 0x21, 0xde, 0x64, 0xbd, 0x88, 0xc3, 0x6d, 0xa5, 0xfa, 0x81, 0x3f])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xfb, 0xfd, 0x47, 0x7b, 0x8a, 0x66, 0x9e, 0x79, 0x2e, 0x64, 0x82, 0xef, 0xf7, 0x21, 0xec, 0xf6, + 0xd8, 0x86, 0x09, 0x31, 0x7c, 0xdd, 0x03, 0x6a, 0x58, 0xa0, 0x77, 0xb7, 0x9b, 0x8c, 0x87, 0x1f]) , + fe([0x55, 0x47, 0xe4, 0xa8, 0x3d, 0x55, 0x21, 0x34, 0xab, 0x1d, 0xae, 0xe0, 0xf4, 0xea, 0xdb, 0xc5, + 0xb9, 0x58, 0xbf, 0xc4, 0x2a, 0x89, 0x31, 0x1a, 0xf4, 0x2d, 0xe1, 0xca, 0x37, 0x99, 0x47, 0x59])) + ) + v.append( + aff(fe([0xc7, 0xca, 0x63, 0xc1, 0x49, 0xa9, 0x35, 0x45, 0x55, 0x7e, 0xda, 0x64, 0x32, 0x07, 0x50, 0xf7, + 0x32, 0xac, 0xde, 0x75, 0x58, 0x9b, 0x11, 0xb2, 0x3a, 0x1f, 0xf5, 0xf7, 0x79, 0x04, 0xe6, 0x08]) , + fe([0x46, 0xfa, 0x22, 0x4b, 0xfa, 0xe1, 0xfe, 0x96, 0xfc, 0x67, 0xba, 0x67, 0x97, 0xc4, 0xe7, 0x1b, + 0x86, 0x90, 0x5f, 0xee, 0xf4, 0x5b, 0x11, 0xb2, 0xcd, 0xad, 0xee, 0xc2, 0x48, 0x6c, 0x2b, 0x1b])) + ) + v.append( + aff(fe([0xe3, 0x39, 0x62, 0xb4, 0x4f, 0x31, 0x04, 0xc9, 0xda, 0xd5, 0x73, 0x51, 0x57, 0xc5, 0xb8, 0xf3, + 0xa3, 0x43, 0x70, 0xe4, 0x61, 0x81, 0x84, 0xe2, 0xbb, 0xbf, 0x4f, 0x9e, 0xa4, 0x5e, 0x74, 0x06]) , + fe([0x29, 0xac, 0xff, 0x27, 0xe0, 0x59, 0xbe, 0x39, 0x9c, 0x0d, 0x83, 0xd7, 0x10, 0x0b, 0x15, 0xb7, + 0xe1, 0xc2, 0x2c, 0x30, 0x73, 0x80, 0x3a, 0x7d, 0x5d, 0xab, 0x58, 0x6b, 0xc1, 0xf0, 0xf4, 0x22])) + ) + v.append( + aff(fe([0xfe, 0x7f, 0xfb, 0x35, 0x7d, 0xc6, 0x01, 0x23, 0x28, 0xc4, 0x02, 0xac, 0x1f, 0x42, 0xb4, 0x9d, + 0xfc, 0x00, 0x94, 0xa5, 0xee, 0xca, 0xda, 0x97, 0x09, 0x41, 0x77, 0x87, 0x5d, 0x7b, 0x87, 0x78]) , + fe([0xf5, 0xfb, 0x90, 0x2d, 0x81, 0x19, 0x9e, 0x2f, 0x6d, 0x85, 0x88, 0x8c, 0x40, 0x5c, 0x77, 0x41, + 0x4d, 0x01, 0x19, 0x76, 0x60, 0xe8, 0x4c, 0x48, 0xe4, 0x33, 0x83, 0x32, 0x6c, 0xb4, 0x41, 0x03])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xff, 0x10, 0xc2, 0x09, 0x4f, 0x6e, 0xf4, 0xd2, 0xdf, 0x7e, 0xca, 0x7b, 0x1c, 0x1d, 0xba, 0xa3, + 0xb6, 0xda, 0x67, 0x33, 0xd4, 0x87, 0x36, 0x4b, 0x11, 0x20, 0x05, 0xa6, 0x29, 0xc1, 0x87, 0x17]) , + fe([0xf6, 0x96, 0xca, 0x2f, 0xda, 0x38, 0xa7, 0x1b, 0xfc, 0xca, 0x7d, 0xfe, 0x08, 0x89, 0xe2, 0x47, + 0x2b, 0x6a, 0x5d, 0x4b, 0xfa, 0xa1, 0xb4, 0xde, 0xb6, 0xc2, 0x31, 0x51, 0xf5, 0xe0, 0xa4, 0x0b])) + ) + v.append( + aff(fe([0x5c, 0xe5, 0xc6, 0x04, 0x8e, 0x2b, 0x57, 0xbe, 0x38, 0x85, 0x23, 0xcb, 0xb7, 0xbe, 0x4f, 0xa9, + 0xd3, 0x6e, 0x12, 0xaa, 0xd5, 0xb2, 0x2e, 0x93, 0x29, 0x9a, 0x4a, 0x88, 0x18, 0x43, 0xf5, 0x01]) , + fe([0x50, 0xfc, 0xdb, 0xa2, 0x59, 0x21, 0x8d, 0xbd, 0x7e, 0x33, 0xae, 0x2f, 0x87, 0x1a, 0xd0, 0x97, + 0xc7, 0x0d, 0x4d, 0x63, 0x01, 0xef, 0x05, 0x84, 0xec, 0x40, 0xdd, 0xa8, 0x0a, 0x4f, 0x70, 0x0b])) + ) + v.append( + aff(fe([0x41, 0x69, 0x01, 0x67, 0x5c, 0xd3, 0x8a, 0xc5, 0xcf, 0x3f, 0xd1, 0x57, 0xd1, 0x67, 0x3e, 0x01, + 0x39, 0xb5, 0xcb, 0x81, 0x56, 0x96, 0x26, 0xb6, 0xc2, 0xe7, 0x5c, 0xfb, 0x63, 0x97, 0x58, 0x06]) , + fe([0x0c, 0x0e, 0xf3, 0xba, 0xf0, 0xe5, 0xba, 0xb2, 0x57, 0x77, 0xc6, 0x20, 0x9b, 0x89, 0x24, 0xbe, + 0xf2, 0x9c, 0x8a, 0xba, 0x69, 0xc1, 0xf1, 0xb0, 0x4f, 0x2a, 0x05, 0x9a, 0xee, 0x10, 0x7e, 0x36])) + ) + v.append( + aff(fe([0x3f, 0x26, 0xe9, 0x40, 0xe9, 0x03, 0xad, 0x06, 0x69, 0x91, 0xe0, 0xd1, 0x89, 0x60, 0x84, 0x79, + 0xde, 0x27, 0x6d, 0xe6, 0x76, 0xbd, 0xea, 0xe6, 0xae, 0x48, 0xc3, 0x67, 0xc0, 0x57, 0xcd, 0x2f]) , + fe([0x7f, 0xc1, 0xdc, 0xb9, 0xc7, 0xbc, 0x86, 0x3d, 0x55, 0x4b, 0x28, 0x7a, 0xfb, 0x4d, 0xc7, 0xf8, + 0xbc, 0x67, 0x2a, 0x60, 0x4d, 0x8f, 0x07, 0x0b, 0x1a, 0x17, 0xbf, 0xfa, 0xac, 0xa7, 0x3d, 0x1a])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x91, 0x3f, 0xed, 0x5e, 0x18, 0x78, 0x3f, 0x23, 0x2c, 0x0d, 0x8c, 0x44, 0x00, 0xe8, 0xfb, 0xe9, + 0x8e, 0xd6, 0xd1, 0x36, 0x58, 0x57, 0x9e, 0xae, 0x4b, 0x5c, 0x0b, 0x07, 0xbc, 0x6b, 0x55, 0x2b]) , + fe([0x6f, 0x4d, 0x17, 0xd7, 0xe1, 0x84, 0xd9, 0x78, 0xb1, 0x90, 0xfd, 0x2e, 0xb3, 0xb5, 0x19, 0x3f, + 0x1b, 0xfa, 0xc0, 0x68, 0xb3, 0xdd, 0x00, 0x2e, 0x89, 0xbd, 0x7e, 0x80, 0x32, 0x13, 0xa0, 0x7b])) + ) + v.append( + aff(fe([0x1a, 0x6f, 0x40, 0xaf, 0x44, 0x44, 0xb0, 0x43, 0x8f, 0x0d, 0xd0, 0x1e, 0xc4, 0x0b, 0x19, 0x5d, + 0x8e, 0xfe, 0xc1, 0xf3, 0xc5, 0x5c, 0x91, 0xf8, 0x04, 0x4e, 0xbe, 0x90, 0xb4, 0x47, 0x5c, 0x3f]) , + fe([0xb0, 0x3b, 0x2c, 0xf3, 0xfe, 0x32, 0x71, 0x07, 0x3f, 0xaa, 0xba, 0x45, 0x60, 0xa8, 0x8d, 0xea, + 0x54, 0xcb, 0x39, 0x10, 0xb4, 0xf2, 0x8b, 0xd2, 0x14, 0x82, 0x42, 0x07, 0x8e, 0xe9, 0x7c, 0x53])) + ) + v.append( + aff(fe([0xb0, 0xae, 0xc1, 0x8d, 0xc9, 0x8f, 0xb9, 0x7a, 0x77, 0xef, 0xba, 0x79, 0xa0, 0x3c, 0xa8, 0xf5, + 0x6a, 0xe2, 0x3f, 0x5d, 0x00, 0xe3, 0x4b, 0x45, 0x24, 0x7b, 0x43, 0x78, 0x55, 0x1d, 0x2b, 0x1e]) , + fe([0x01, 0xb8, 0xd6, 0x16, 0x67, 0xa0, 0x15, 0xb9, 0xe1, 0x58, 0xa4, 0xa7, 0x31, 0x37, 0x77, 0x2f, + 0x8b, 0x12, 0x9f, 0xf4, 0x3f, 0xc7, 0x36, 0x66, 0xd2, 0xa8, 0x56, 0xf7, 0x7f, 0x74, 0xc6, 0x41])) + ) + v.append( + aff(fe([0x5d, 0xf8, 0xb4, 0xa8, 0x30, 0xdd, 0xcc, 0x38, 0xa5, 0xd3, 0xca, 0xd8, 0xd1, 0xf8, 0xb2, 0x31, + 0x91, 0xd4, 0x72, 0x05, 0x57, 0x4a, 0x3b, 0x82, 0x4a, 0xc6, 0x68, 0x20, 0xe2, 0x18, 0x41, 0x61]) , + fe([0x19, 0xd4, 0x8d, 0x47, 0x29, 0x12, 0x65, 0xb0, 0x11, 0x78, 0x47, 0xb5, 0xcb, 0xa3, 0xa5, 0xfa, + 0x05, 0x85, 0x54, 0xa9, 0x33, 0x97, 0x8d, 0x2b, 0xc2, 0xfe, 0x99, 0x35, 0x28, 0xe5, 0xeb, 0x63])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xb1, 0x3f, 0x3f, 0xef, 0xd8, 0xf4, 0xfc, 0xb3, 0xa0, 0x60, 0x50, 0x06, 0x2b, 0x29, 0x52, 0x70, + 0x15, 0x0b, 0x24, 0x24, 0xf8, 0x5f, 0x79, 0x18, 0xcc, 0xff, 0x89, 0x99, 0x84, 0xa1, 0xae, 0x13]) , + fe([0x44, 0x1f, 0xb8, 0xc2, 0x01, 0xc1, 0x30, 0x19, 0x55, 0x05, 0x60, 0x10, 0xa4, 0x6c, 0x2d, 0x67, + 0x70, 0xe5, 0x25, 0x1b, 0xf2, 0xbf, 0xdd, 0xfb, 0x70, 0x2b, 0xa1, 0x8c, 0x9c, 0x94, 0x84, 0x08])) + ) + v.append( + aff(fe([0xe7, 0xc4, 0x43, 0x4d, 0xc9, 0x2b, 0x69, 0x5d, 0x1d, 0x3c, 0xaf, 0xbb, 0x43, 0x38, 0x4e, 0x98, + 0x3d, 0xed, 0x0d, 0x21, 0x03, 0xfd, 0xf0, 0x99, 0x47, 0x04, 0xb0, 0x98, 0x69, 0x55, 0x72, 0x0f]) , + fe([0x5e, 0xdf, 0x15, 0x53, 0x3b, 0x86, 0x80, 0xb0, 0xf1, 0x70, 0x68, 0x8f, 0x66, 0x7c, 0x0e, 0x49, + 0x1a, 0xd8, 0x6b, 0xfe, 0x4e, 0xef, 0xca, 0x47, 0xd4, 0x03, 0xc1, 0x37, 0x50, 0x9c, 0xc1, 0x16])) + ) + v.append( + aff(fe([0xcd, 0x24, 0xc6, 0x3e, 0x0c, 0x82, 0x9b, 0x91, 0x2b, 0x61, 0x4a, 0xb2, 0x0f, 0x88, 0x55, 0x5f, + 0x5a, 0x57, 0xff, 0xe5, 0x74, 0x0b, 0x13, 0x43, 0x00, 0xd8, 0x6b, 0xcf, 0xd2, 0x15, 0x03, 0x2c]) , + fe([0xdc, 0xff, 0x15, 0x61, 0x2f, 0x4a, 0x2f, 0x62, 0xf2, 0x04, 0x2f, 0xb5, 0x0c, 0xb7, 0x1e, 0x3f, + 0x74, 0x1a, 0x0f, 0xd7, 0xea, 0xcd, 0xd9, 0x7d, 0xf6, 0x12, 0x0e, 0x2f, 0xdb, 0x5a, 0x3b, 0x16])) + ) + v.append( + aff(fe([0x1b, 0x37, 0x47, 0xe3, 0xf5, 0x9e, 0xea, 0x2c, 0x2a, 0xe7, 0x82, 0x36, 0xf4, 0x1f, 0x81, 0x47, + 0x92, 0x4b, 0x69, 0x0e, 0x11, 0x8c, 0x5d, 0x53, 0x5b, 0x81, 0x27, 0x08, 0xbc, 0xa0, 0xae, 0x25]) , + fe([0x69, 0x32, 0xa1, 0x05, 0x11, 0x42, 0x00, 0xd2, 0x59, 0xac, 0x4d, 0x62, 0x8b, 0x13, 0xe2, 0x50, + 0x5d, 0xa0, 0x9d, 0x9b, 0xfd, 0xbb, 0x12, 0x41, 0x75, 0x41, 0x9e, 0xcc, 0xdc, 0xc7, 0xdc, 0x5d])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 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0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x18, 0x4a, 0xa2, 0x97, 0x08, 0x81, 0x2d, 0x83, 0xc4, 0xcc, 0xf0, 0x83, 0x7e, 0xec, 0x0d, 0x95, + 0x4c, 0x5b, 0xfb, 0xfa, 0x98, 0x80, 0x4a, 0x66, 0x56, 0x0c, 0x51, 0xb3, 0xf2, 0x04, 0x5d, 0x27]) , + fe([0x3b, 0xb9, 0xb8, 0x06, 0x5a, 0x2e, 0xfe, 0xc3, 0x82, 0x37, 0x9c, 0xa3, 0x11, 0x1f, 0x9c, 0xa6, + 0xda, 0x63, 0x48, 0x9b, 0xad, 0xde, 0x2d, 0xa6, 0xbc, 0x6e, 0x32, 0xda, 0x27, 0x65, 0xdd, 0x57])) + ) + v.append( + aff(fe([0x84, 0x4f, 0x37, 0x31, 0x7d, 0x2e, 0xbc, 0xad, 0x87, 0x07, 0x2a, 0x6b, 0x37, 0xfc, 0x5f, 0xeb, + 0x4e, 0x75, 0x35, 0xa6, 0xde, 0xab, 0x0a, 0x19, 0x3a, 0xb7, 0xb1, 0xef, 0x92, 0x6a, 0x3b, 0x3c]) , + fe([0x3b, 0xb2, 0x94, 0x6d, 0x39, 0x60, 0xac, 0xee, 0xe7, 0x81, 0x1a, 0x3b, 0x76, 0x87, 0x5c, 0x05, + 0x94, 0x2a, 0x45, 0xb9, 0x80, 0xe9, 0x22, 0xb1, 0x07, 0xcb, 0x40, 0x9e, 0x70, 0x49, 0x6d, 0x12])) + ) + v.append( + aff(fe([0xfd, 0x18, 0x78, 0x84, 0xa8, 0x4c, 0x7d, 0x6e, 0x59, 0xa6, 0xe5, 0x74, 0xf1, 0x19, 0xa6, 0x84, + 0x2e, 0x51, 0xc1, 0x29, 0x13, 0xf2, 0x14, 0x6b, 0x5d, 0x53, 0x51, 0xf7, 0xef, 0xbf, 0x01, 0x22]) , + fe([0xa4, 0x4b, 0x62, 0x4c, 0xe6, 0xfd, 0x72, 0x07, 0xf2, 0x81, 0xfc, 0xf2, 0xbd, 0x12, 0x7c, 0x68, + 0x76, 0x2a, 0xba, 0xf5, 0x65, 0xb1, 0x1f, 0x17, 0x0a, 0x38, 0xb0, 0xbf, 0xc0, 0xf8, 0xf4, 0x2a])) + ) + v.append( + aff(fe([0x55, 0x60, 0x55, 0x5b, 0xe4, 0x1d, 0x71, 0x4c, 0x9d, 0x5b, 0x9f, 0x70, 0xa6, 0x85, 0x9a, 0x2c, + 0xa0, 0xe2, 0x32, 0x48, 0xce, 0x9e, 0x2a, 0xa5, 0x07, 0x3b, 0xc7, 0x6c, 0x86, 0x77, 0xde, 0x3c]) , + fe([0xf7, 0x18, 0x7a, 0x96, 0x7e, 0x43, 0x57, 0xa9, 0x55, 0xfc, 0x4e, 0xb6, 0x72, 0x00, 0xf2, 0xe4, + 0xd7, 0x52, 0xd3, 0xd3, 0xb6, 0x85, 0xf6, 0x71, 0xc7, 0x44, 0x3f, 0x7f, 0xd7, 0xb3, 0xf2, 0x79])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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fe([0x89, 0x8f, 0xc0, 0xbe, 0x5d, 0xd6, 0x9f, 0xa0, 0xf0, 0x9d, 0x81, 0xce, 0x3a, 0x7b, 0x98, 0x58, + 0xbb, 0xd7, 0x78, 0xc8, 0x3f, 0x13, 0xf1, 0x74, 0x19, 0xdf, 0xf8, 0x98, 0x89, 0x5d, 0xfa, 0x5f])) + ) + v.append( + aff(fe([0x9e, 0x35, 0x85, 0x94, 0x47, 0x1f, 0x90, 0x15, 0x26, 0xd0, 0x84, 0xed, 0x8a, 0x80, 0xf7, 0x63, + 0x42, 0x86, 0x27, 0xd7, 0xf4, 0x75, 0x58, 0xdc, 0x9c, 0xc0, 0x22, 0x7e, 0x20, 0x35, 0xfd, 0x1f]) , + fe([0x68, 0x0e, 0x6f, 0x97, 0xba, 0x70, 0xbb, 0xa3, 0x0e, 0xe5, 0x0b, 0x12, 0xf4, 0xa2, 0xdc, 0x47, + 0xf8, 0xe6, 0xd0, 0x23, 0x6c, 0x33, 0xa8, 0x99, 0x46, 0x6e, 0x0f, 0x44, 0xba, 0x76, 0x48, 0x0f])) + ) + v.append( + aff(fe([0xa3, 0x2a, 0x61, 0x37, 0xe2, 0x59, 0x12, 0x0e, 0x27, 0xba, 0x64, 0x43, 0xae, 0xc0, 0x42, 0x69, + 0x79, 0xa4, 0x1e, 0x29, 0x8b, 0x15, 0xeb, 0xf8, 0xaf, 0xd4, 0xa2, 0x68, 0x33, 0xb5, 0x7a, 0x24]) , + fe([0x2c, 0x19, 0x33, 0xdd, 0x1b, 0xab, 0xec, 0x01, 0xb0, 0x23, 0xf8, 0x42, 0x2b, 0x06, 0x88, 0xea, + 0x3d, 0x2d, 0x00, 0x2a, 0x78, 0x45, 0x4d, 0x38, 0xed, 0x2e, 0x2e, 0x44, 0x49, 0xed, 0xcb, 0x33])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xa0, 0x68, 0xe8, 0x41, 0x8f, 0x91, 0xf8, 0x11, 0x13, 0x90, 0x2e, 0xa7, 0xab, 0x30, 0xef, 0xad, + 0xa0, 0x61, 0x00, 0x88, 0xef, 0xdb, 0xce, 0x5b, 0x5c, 0xbb, 0x62, 0xc8, 0x56, 0xf9, 0x00, 0x73]) , + fe([0x3f, 0x60, 0xc1, 0x82, 0x2d, 0xa3, 0x28, 0x58, 0x24, 0x9e, 0x9f, 0xe3, 0x70, 0xcc, 0x09, 0x4e, + 0x1a, 0x3f, 0x11, 0x11, 0x15, 0x07, 0x3c, 0xa4, 0x41, 0xe0, 0x65, 0xa3, 0x0a, 0x41, 0x6d, 0x11])) + ) + v.append( + aff(fe([0x31, 0x40, 0x01, 0x52, 0x56, 0x94, 0x5b, 0x28, 0x8a, 0xaa, 0x52, 0xee, 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0xd7, 0x60, 0x48, 0x07, 0xf0, 0x74, 0xa8, 0xff, 0x54, 0xe5, 0x30, 0x43, 0xff, + 0x77, 0xfb, 0x21, 0x07, 0xff, 0xb2, 0x07, 0x6b, 0xe4, 0xe5, 0x30, 0xfc, 0x19, 0x6c, 0xa3, 0x01])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x13, 0xc5, 0x2c, 0xac, 0xd3, 0x83, 0x82, 0x7c, 0x29, 0xf7, 0x05, 0xa5, 0x00, 0xb6, 0x1f, 0x86, + 0x55, 0xf4, 0xd6, 0x2f, 0x0c, 0x99, 0xd0, 0x65, 0x9b, 0x6b, 0x46, 0x0d, 0x43, 0xf8, 0x16, 0x28]) , + fe([0x1e, 0x7f, 0xb4, 0x74, 0x7e, 0xb1, 0x89, 0x4f, 0x18, 0x5a, 0xab, 0x64, 0x06, 0xdf, 0x45, 0x87, + 0xe0, 0x6a, 0xc6, 0xf0, 0x0e, 0xc9, 0x24, 0x35, 0x38, 0xea, 0x30, 0x54, 0xb4, 0xc4, 0x52, 0x54])) + ) + v.append( + aff(fe([0xe9, 0x9f, 0xdc, 0x3f, 0xc1, 0x89, 0x44, 0x74, 0x27, 0xe4, 0xc1, 0x90, 0xff, 0x4a, 0xa7, 0x3c, + 0xee, 0xcd, 0xf4, 0x1d, 0x25, 0x94, 0x7f, 0x63, 0x16, 0x48, 0xbc, 0x64, 0xfe, 0x95, 0xc4, 0x0c]) , + fe([0x8b, 0x19, 0x75, 0x6e, 0x03, 0x06, 0x5e, 0x6a, 0x6f, 0x1a, 0x8c, 0xe3, 0xd3, 0x28, 0xf2, 0xe0, + 0xb9, 0x7a, 0x43, 0x69, 0xe6, 0xd3, 0xc0, 0xfe, 0x7e, 0x97, 0xab, 0x6c, 0x7b, 0x8e, 0x13, 0x42])) + ) + v.append( + aff(fe([0xd4, 0xca, 0x70, 0x3d, 0xab, 0xfb, 0x5f, 0x5e, 0x00, 0x0c, 0xcc, 0x77, 0x22, 0xf8, 0x78, 0x55, + 0xae, 0x62, 0x35, 0xfb, 0x9a, 0xc6, 0x03, 0xe4, 0x0c, 0xee, 0xab, 0xc7, 0xc0, 0x89, 0x87, 0x54]) , + fe([0x32, 0xad, 0xae, 0x85, 0x58, 0x43, 0xb8, 0xb1, 0xe6, 0x3e, 0x00, 0x9c, 0x78, 0x88, 0x56, 0xdb, + 0x9c, 0xfc, 0x79, 0xf6, 0xf9, 0x41, 0x5f, 0xb7, 0xbc, 0x11, 0xf9, 0x20, 0x36, 0x1c, 0x53, 0x2b])) + ) + v.append( + aff(fe([0x5a, 0x20, 0x5b, 0xa1, 0xa5, 0x44, 0x91, 0x24, 0x02, 0x63, 0x12, 0x64, 0xb8, 0x55, 0xf6, 0xde, + 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0xca, 0xd2, 0xf4, 0xda, 0x99, 0x8e, 0x4f, 0x98, 0xb7, + 0xf4, 0xae, 0x3e, 0x9f, 0x8e, 0x35, 0x60, 0xa4, 0x33, 0x75, 0xa4, 0x04, 0x93, 0xb1, 0x6b, 0x4d])) + ) + v.append( + aff(fe([0x97, 0x9d, 0xa8, 0xcd, 0x97, 0x7b, 0x9d, 0xb9, 0xe7, 0xa5, 0xef, 0xfd, 0xa8, 0x42, 0x6b, 0xc3, + 0x62, 0x64, 0x7d, 0xa5, 0x1b, 0xc9, 0x9e, 0xd2, 0x45, 0xb9, 0xee, 0x03, 0xb0, 0xbf, 0xc0, 0x68]) , + fe([0xed, 0xb7, 0x84, 0x2c, 0xf6, 0xd3, 0xa1, 0x6b, 0x24, 0x6d, 0x87, 0x56, 0x97, 0x59, 0x79, 0x62, + 0x9f, 0xac, 0xed, 0xf3, 0xc9, 0x89, 0x21, 0x2e, 0x04, 0xb3, 0xcc, 0x2f, 0xbe, 0xd6, 0x0a, 0x4b])) + ) + v.append( + aff(fe([0x39, 0x61, 0x05, 0xed, 0x25, 0x89, 0x8b, 0x5d, 0x1b, 0xcb, 0x0c, 0x55, 0xf4, 0x6a, 0x00, 0x8a, + 0x46, 0xe8, 0x1e, 0xc6, 0x83, 0xc8, 0x5a, 0x76, 0xdb, 0xcc, 0x19, 0x7a, 0xcc, 0x67, 0x46, 0x0b]) , + fe([0x53, 0xcf, 0xc2, 0xa1, 0xad, 0x6a, 0xf3, 0xcd, 0x8f, 0xc9, 0xde, 0x1c, 0xf8, 0x6c, 0x8f, 0xf8, + 0x76, 0x42, 0xe7, 0xfe, 0xb2, 0x72, 0x21, 0x0a, 0x66, 0x74, 0x8f, 0xb7, 0xeb, 0xe4, 0x6f, 0x01])) + ) + v.append( + aff(fe([0x22, 0x8c, 0x6b, 0xbe, 0xfc, 0x4d, 0x70, 0x62, 0x6e, 0x52, 0x77, 0x99, 0x88, 0x7e, 0x7b, 0x57, + 0x7a, 0x0d, 0xfe, 0xdc, 0x72, 0x92, 0xf1, 0x68, 0x1d, 0x97, 0xd7, 0x7c, 0x8d, 0x53, 0x10, 0x37]) , + fe([0x53, 0x88, 0x77, 0x02, 0xca, 0x27, 0xa8, 0xe5, 0x45, 0xe2, 0xa8, 0x48, 0x2a, 0xab, 0x18, 0xca, + 0xea, 0x2d, 0x2a, 0x54, 0x17, 0x37, 0x32, 0x09, 0xdc, 0xe0, 0x4a, 0xb7, 0x7d, 0x82, 0x10, 0x7d])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x8a, 0x64, 0x1e, 0x14, 0x0a, 0x57, 0xd4, 0xda, 0x5c, 0x96, 0x9b, 0x01, 0x4c, 0x67, 0xbf, 0x8b, + 0x30, 0xfe, 0x08, 0xdb, 0x0d, 0xd5, 0xa8, 0xd7, 0x09, 0x11, 0x85, 0xa2, 0xd3, 0x45, 0xfb, 0x7e]) , + fe([0xda, 0x8c, 0xc2, 0xd0, 0xac, 0x18, 0xe8, 0x52, 0x36, 0xd4, 0x21, 0xa3, 0xdd, 0x57, 0x22, 0x79, + 0xb7, 0xf8, 0x71, 0x9d, 0xc6, 0x91, 0x70, 0x86, 0x56, 0xbf, 0xa1, 0x11, 0x8b, 0x19, 0xe1, 0x0f])) + ) + v.append( + aff(fe([0x18, 0x32, 0x98, 0x2c, 0x8f, 0x91, 0xae, 0x12, 0xf0, 0x8c, 0xea, 0xf3, 0x3c, 0xb9, 0x5d, 0xe4, + 0x69, 0xed, 0xb2, 0x47, 0x18, 0xbd, 0xce, 0x16, 0x52, 0x5c, 0x23, 0xe2, 0xa5, 0x25, 0x52, 0x5d]) , + fe([0xb9, 0xb1, 0xe7, 0x5d, 0x4e, 0xbc, 0xee, 0xbb, 0x40, 0x81, 0x77, 0x82, 0x19, 0xab, 0xb5, 0xc6, + 0xee, 0xab, 0x5b, 0x6b, 0x63, 0x92, 0x8a, 0x34, 0x8d, 0xcd, 0xee, 0x4f, 0x49, 0xe5, 0xc9, 0x7e])) + ) + v.append( + aff(fe([0x21, 0xac, 0x8b, 0x22, 0xcd, 0xc3, 0x9a, 0xe9, 0x5e, 0x78, 0xbd, 0xde, 0xba, 0xad, 0xab, 0xbf, + 0x75, 0x41, 0x09, 0xc5, 0x58, 0xa4, 0x7d, 0x92, 0xb0, 0x7f, 0xf2, 0xa1, 0xd1, 0xc0, 0xb3, 0x6d]) , + fe([0x62, 0x4f, 0xd0, 0x75, 0x77, 0xba, 0x76, 0x77, 0xd7, 0xb8, 0xd8, 0x92, 0x6f, 0x98, 0x34, 0x3d, + 0xd6, 0x4e, 0x1c, 0x0f, 0xf0, 0x8f, 0x2e, 0xf1, 0xb3, 0xbd, 0xb1, 0xb9, 0xec, 0x99, 0xb4, 0x07])) + ) + v.append( + aff(fe([0x60, 0x57, 0x2e, 0x9a, 0x72, 0x1d, 0x6b, 0x6e, 0x58, 0x33, 0x24, 0x8c, 0x48, 0x39, 0x46, 0x8e, + 0x89, 0x6a, 0x88, 0x51, 0x23, 0x62, 0xb5, 0x32, 0x09, 0x36, 0xe3, 0x57, 0xf5, 0x98, 0xde, 0x6f]) , + fe([0x8b, 0x2c, 0x00, 0x48, 0x4a, 0xf9, 0x5b, 0x87, 0x69, 0x52, 0xe5, 0x5b, 0xd1, 0xb1, 0xe5, 0x25, + 0x25, 0xe0, 0x9c, 0xc2, 0x13, 0x44, 0xe8, 0xb9, 0x0a, 0x70, 0xad, 0xbd, 0x0f, 0x51, 0x94, 0x69])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( 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0xf5, 0xe6, 0x2f, 0xe1, 0x03, 0xbf, 0x68, 0x82, 0x7f]) , + fe([0x64, 0xe9, 0x28, 0xc7, 0xa4, 0xcf, 0x2a, 0xf9, 0x90, 0x64, 0x72, 0x2c, 0x8b, 0xeb, 0xec, 0xa0, + 0xf2, 0x7d, 0x35, 0xb5, 0x90, 0x4d, 0x7f, 0x5b, 0x4a, 0x49, 0xe4, 0xb8, 0x3b, 0xc8, 0xa1, 0x2f])) + ) + v.append( + aff(fe([0x8b, 0xc5, 0xcc, 0x3d, 0x69, 0xa6, 0xa1, 0x18, 0x44, 0xbc, 0x4d, 0x77, 0x37, 0xc7, 0x86, 0xec, + 0x0c, 0xc9, 0xd6, 0x44, 0xa9, 0x23, 0x27, 0xb9, 0x03, 0x34, 0xa7, 0x0a, 0xd5, 0xc7, 0x34, 0x37]) , + fe([0xf9, 0x7e, 0x3e, 0x66, 0xee, 0xf9, 0x99, 0x28, 0xff, 0xad, 0x11, 0xd8, 0xe2, 0x66, 0xc5, 0xcd, + 0x0f, 0x0d, 0x0b, 0x6a, 0xfc, 0x7c, 0x24, 0xa8, 0x4f, 0xa8, 0x5e, 0x80, 0x45, 0x8b, 0x6c, 0x41])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xef, 0x1e, 0xec, 0xf7, 0x8d, 0x77, 0xf2, 0xea, 0xdb, 0x60, 0x03, 0x21, 0xc0, 0xff, 0x5e, 0x67, + 0xc3, 0x71, 0x0b, 0x21, 0xb4, 0x41, 0xa0, 0x68, 0x38, 0xc6, 0x01, 0xa3, 0xd3, 0x51, 0x3c, 0x3c]) , + fe([0x92, 0xf8, 0xd6, 0x4b, 0xef, 0x42, 0x13, 0xb2, 0x4a, 0xc4, 0x2e, 0x72, 0x3f, 0xc9, 0x11, 0xbd, + 0x74, 0x02, 0x0e, 0xf5, 0x13, 0x9d, 0x83, 0x1a, 0x1b, 0xd5, 0x54, 0xde, 0xc4, 0x1e, 0x16, 0x6c])) + ) + v.append( + aff(fe([0x27, 0x52, 0xe4, 0x63, 0xaa, 0x94, 0xe6, 0xc3, 0x28, 0x9c, 0xc6, 0x56, 0xac, 0xfa, 0xb6, 0xbd, + 0xe2, 0xcc, 0x76, 0xc6, 0x27, 0x27, 0xa2, 0x8e, 0x78, 0x2b, 0x84, 0x72, 0x10, 0xbd, 0x4e, 0x2a]) , + fe([0xea, 0xa7, 0x23, 0xef, 0x04, 0x61, 0x80, 0x50, 0xc9, 0x6e, 0xa5, 0x96, 0xd1, 0xd1, 0xc8, 0xc3, + 0x18, 0xd7, 0x2d, 0xfd, 0x26, 0xbd, 0xcb, 0x7b, 0x92, 0x51, 0x0e, 0x4a, 0x65, 0x57, 0xb8, 0x49])) + ) + v.append( + aff(fe([0xab, 0x55, 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0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xb4, 0x48, 0x10, 0x9f, 0x8a, 0x09, 0x76, 0xfa, 0xf0, 0x7a, 0xb0, 0x70, 0xf7, 0x83, 0x80, 0x52, + 0x84, 0x2b, 0x26, 0xa2, 0xc4, 0x5d, 0x4f, 0xba, 0xb1, 0xc8, 0x40, 0x0d, 0x78, 0x97, 0xc4, 0x60]) , + fe([0xd4, 0xb1, 0x6c, 0x08, 0xc7, 0x40, 0x38, 0x73, 0x5f, 0x0b, 0xf3, 0x76, 0x5d, 0xb2, 0xa5, 0x2f, + 0x57, 0x57, 0x07, 0xed, 0x08, 0xa2, 0x6c, 0x4f, 0x08, 0x02, 0xb5, 0x0e, 0xee, 0x44, 0xfa, 0x22])) + ) + v.append( + aff(fe([0x0f, 0x00, 0x3f, 0xa6, 0x04, 0x19, 0x56, 0x65, 0x31, 0x7f, 0x8b, 0xeb, 0x0d, 0xe1, 0x47, 0x89, + 0x97, 0x16, 0x53, 0xfa, 0x81, 0xa7, 0xaa, 0xb2, 0xbf, 0x67, 0xeb, 0x72, 0x60, 0x81, 0x0d, 0x48]) , + fe([0x7e, 0x13, 0x33, 0xcd, 0xa8, 0x84, 0x56, 0x1e, 0x67, 0xaf, 0x6b, 0x43, 0xac, 0x17, 0xaf, 0x16, + 0xc0, 0x52, 0x99, 0x49, 0x5b, 0x87, 0x73, 0x7e, 0xb5, 0x43, 0xda, 0x6b, 0x1d, 0x0f, 0x2d, 0x55])) + ) + v.append( + aff(fe([0xe9, 0x58, 0x1f, 0xff, 0x84, 0x3f, 0x93, 0x1c, 0xcb, 0xe1, 0x30, 0x69, 0xa5, 0x75, 0x19, 0x7e, + 0x14, 0x5f, 0xf8, 0xfc, 0x09, 0xdd, 0xa8, 0x78, 0x9d, 0xca, 0x59, 0x8b, 0xd1, 0x30, 0x01, 0x13]) , + fe([0xff, 0x76, 0x03, 0xc5, 0x4b, 0x89, 0x99, 0x70, 0x00, 0x59, 0x70, 0x9c, 0xd5, 0xd9, 0x11, 0x89, + 0x5a, 0x46, 0xfe, 0xef, 0xdc, 0xd9, 0x55, 0x2b, 0x45, 0xa7, 0xb0, 0x2d, 0xfb, 0x24, 0xc2, 0x29])) + ) + v.append( + aff(fe([0x38, 0x06, 0xf8, 0x0b, 0xac, 0x82, 0xc4, 0x97, 0x2b, 0x90, 0xe0, 0xf7, 0xa8, 0xab, 0x6c, 0x08, + 0x80, 0x66, 0x90, 0x46, 0xf7, 0x26, 0x2d, 0xf8, 0xf1, 0xc4, 0x6b, 0x4a, 0x82, 0x98, 0x8e, 0x37]) , + fe([0x8e, 0xb4, 0xee, 0xb8, 0xd4, 0x3f, 0xb2, 0x1b, 0xe0, 0x0a, 0x3d, 0x75, 0x34, 0x28, 0xa2, 0x8e, + 0xc4, 0x92, 0x7b, 0xfe, 0x60, 0x6e, 0x6d, 0xb8, 0x31, 0x1d, 0x62, 0x0d, 0x78, 0x14, 0x42, 0x11])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 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0x96, 0x72]) , + fe([0xc8, 0x09, 0x3b, 0x60, 0xc9, 0x26, 0x4d, 0x7c, 0xf2, 0x9c, 0xd4, 0xa1, 0x3b, 0x26, 0xc2, 0x04, + 0x33, 0x44, 0x76, 0x3c, 0x02, 0xbb, 0x11, 0x42, 0x0c, 0x22, 0xb7, 0xc6, 0xe1, 0xac, 0xb4, 0x0e])) + ) + v.append( + aff(fe([0x6f, 0x85, 0xe7, 0xef, 0xde, 0x67, 0x30, 0xfc, 0xbf, 0x5a, 0xe0, 0x7b, 0x7a, 0x2a, 0x54, 0x6b, + 0x5d, 0x62, 0x85, 0xa1, 0xf8, 0x16, 0x88, 0xec, 0x61, 0xb9, 0x96, 0xb5, 0xef, 0x2d, 0x43, 0x4d]) , + fe([0x7c, 0x31, 0x33, 0xcc, 0xe4, 0xcf, 0x6c, 0xff, 0x80, 0x47, 0x77, 0xd1, 0xd8, 0xe9, 0x69, 0x97, + 0x98, 0x7f, 0x20, 0x57, 0x1d, 0x1d, 0x4f, 0x08, 0x27, 0xc8, 0x35, 0x57, 0x40, 0xc6, 0x21, 0x0c])) + ) + v.append( + aff(fe([0xd2, 0x8e, 0x9b, 0xfa, 0x42, 0x8e, 0xdf, 0x8f, 0xc7, 0x86, 0xf9, 0xa4, 0xca, 0x70, 0x00, 0x9d, + 0x21, 0xbf, 0xec, 0x57, 0x62, 0x30, 0x58, 0x8c, 0x0d, 0x35, 0xdb, 0x5d, 0x8b, 0x6a, 0xa0, 0x5a]) , + fe([0xc1, 0x58, 0x7c, 0x0d, 0x20, 0xdd, 0x11, 0x26, 0x5f, 0x89, 0x3b, 0x97, 0x58, 0xf8, 0x8b, 0xe3, + 0xdf, 0x32, 0xe2, 0xfc, 0xd8, 0x67, 0xf2, 0xa5, 0x37, 0x1e, 0x6d, 0xec, 0x7c, 0x27, 0x20, 0x79])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xd0, 0xe9, 0xc0, 0xfa, 0x95, 0x45, 0x23, 0x96, 0xf1, 0x2c, 0x79, 0x25, 0x14, 0xce, 0x40, 0x14, + 0x44, 0x2c, 0x36, 0x50, 0xd9, 0x63, 0x56, 0xb7, 0x56, 0x3b, 0x9e, 0xa7, 0xef, 0x89, 0xbb, 0x0e]) , + fe([0xce, 0x7f, 0xdc, 0x0a, 0xcc, 0x82, 0x1c, 0x0a, 0x78, 0x71, 0xe8, 0x74, 0x8d, 0x01, 0x30, 0x0f, + 0xa7, 0x11, 0x4c, 0xdf, 0x38, 0xd7, 0xa7, 0x0d, 0xf8, 0x48, 0x52, 0x00, 0x80, 0x7b, 0x5f, 0x0e])) + ) + v.append( + aff(fe([0x25, 0x83, 0xe6, 0x94, 0x7b, 0x81, 0xb2, 0x91, 0xae, 0x0e, 0x05, 0xc9, 0xa3, 0x68, 0x2d, 0xd9, + 0x88, 0x25, 0x19, 0x2a, 0x61, 0x61, 0x21, 0x97, 0x15, 0xa1, 0x35, 0xa5, 0x46, 0xc8, 0xa2, 0x0e]) , + fe([0x1b, 0x03, 0x0d, 0x8b, 0x5a, 0x1b, 0x97, 0x4b, 0xf2, 0x16, 0x31, 0x3d, 0x1f, 0x33, 0xa0, 0x50, + 0x3a, 0x18, 0xbe, 0x13, 0xa1, 0x76, 0xc1, 0xba, 0x1b, 0xf1, 0x05, 0x7b, 0x33, 0xa8, 0x82, 0x3b])) + ) + v.append( + aff(fe([0xba, 0x36, 0x7b, 0x6d, 0xa9, 0xea, 0x14, 0x12, 0xc5, 0xfa, 0x91, 0x00, 0xba, 0x9b, 0x99, 0xcc, + 0x56, 0x02, 0xe9, 0xa0, 0x26, 0x40, 0x66, 0x8c, 0xc4, 0xf8, 0x85, 0x33, 0x68, 0xe7, 0x03, 0x20]) , + fe([0x50, 0x5b, 0xff, 0xa9, 0xb2, 0xf1, 0xf1, 0x78, 0xcf, 0x14, 0xa4, 0xa9, 0xfc, 0x09, 0x46, 0x94, + 0x54, 0x65, 0x0d, 0x9c, 0x5f, 0x72, 0x21, 0xe2, 0x97, 0xa5, 0x2d, 0x81, 0xce, 0x4a, 0x5f, 0x79])) + ) + v.append( + aff(fe([0x3d, 0x5f, 0x5c, 0xd2, 0xbc, 0x7d, 0x77, 0x0e, 0x2a, 0x6d, 0x22, 0x45, 0x84, 0x06, 0xc4, 0xdd, + 0xc6, 0xa6, 0xc6, 0xd7, 0x49, 0xad, 0x6d, 0x87, 0x91, 0x0e, 0x3a, 0x67, 0x1d, 0x2c, 0x1d, 0x56]) , + fe([0xfe, 0x7a, 0x74, 0xcf, 0xd4, 0xd2, 0xe5, 0x19, 0xde, 0xd0, 0xdb, 0x70, 0x23, 0x69, 0xe6, 0x6d, + 0xec, 0xec, 0xcc, 0x09, 0x33, 0x6a, 0x77, 0xdc, 0x6b, 0x22, 0x76, 0x5d, 0x92, 0x09, 0xac, 0x2d])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x23, 0x15, 0x17, 0xeb, 0xd3, 0xdb, 0x12, 0x5e, 0x01, 0xf0, 0x91, 0xab, 0x2c, 0x41, 0xce, 0xac, + 0xed, 0x1b, 0x4b, 0x2d, 0xbc, 0xdb, 0x17, 0x66, 0x89, 0x46, 0xad, 0x4b, 0x1e, 0x6f, 0x0b, 0x14]) , + fe([0x11, 0xce, 0xbf, 0xb6, 0x77, 0x2d, 0x48, 0x22, 0x18, 0x4f, 0xa3, 0x5d, 0x4a, 0xb0, 0x70, 0x12, + 0x3e, 0x54, 0xd7, 0xd8, 0x0e, 0x2b, 0x27, 0xdc, 0x53, 0xff, 0xca, 0x8c, 0x59, 0xb3, 0x4e, 0x44])) + ) + v.append( + aff(fe([0x07, 0x76, 0x61, 0x0f, 0x66, 0xb2, 0x21, 0x39, 0x7e, 0xc0, 0xec, 0x45, 0x28, 0x82, 0xa1, 0x29, + 0x32, 0x44, 0x35, 0x13, 0x5e, 0x61, 0x5e, 0x54, 0xcb, 0x7c, 0xef, 0xf6, 0x41, 0xcf, 0x9f, 0x0a]) , + fe([0xdd, 0xf9, 0xda, 0x84, 0xc3, 0xe6, 0x8a, 0x9f, 0x24, 0xd2, 0x96, 0x5d, 0x39, 0x6f, 0x58, 0x8c, + 0xc1, 0x56, 0x93, 0xab, 0xb5, 0x79, 0x3b, 0xd2, 0xa8, 0x73, 0x16, 0xed, 0xfa, 0xb4, 0x2f, 0x73])) + ) + v.append( + aff(fe([0x8b, 0xb1, 0x95, 0xe5, 0x92, 0x50, 0x35, 0x11, 0x76, 0xac, 0xf4, 0x4d, 0x24, 0xc3, 0x32, 0xe6, + 0xeb, 0xfe, 0x2c, 0x87, 0xc4, 0xf1, 0x56, 0xc4, 0x75, 0x24, 0x7a, 0x56, 0x85, 0x5a, 0x3a, 0x13]) , + fe([0x0d, 0x16, 0xac, 0x3c, 0x4a, 0x58, 0x86, 0x3a, 0x46, 0x7f, 0x6c, 0xa3, 0x52, 0x6e, 0x37, 0xe4, + 0x96, 0x9c, 0xe9, 0x5c, 0x66, 0x41, 0x67, 0xe4, 0xfb, 0x79, 0x0c, 0x05, 0xf6, 0x64, 0xd5, 0x7c])) + ) + v.append( + aff(fe([0x28, 0xc1, 0xe1, 0x54, 0x73, 0xf2, 0xbf, 0x76, 0x74, 0x19, 0x19, 0x1b, 0xe4, 0xb9, 0xa8, 0x46, + 0x65, 0x73, 0xf3, 0x77, 0x9b, 0x29, 0x74, 0x5b, 0xc6, 0x89, 0x6c, 0x2c, 0x7c, 0xf8, 0xb3, 0x0f]) , + fe([0xf7, 0xd5, 0xe9, 0x74, 0x5d, 0xb8, 0x25, 0x16, 0xb5, 0x30, 0xbc, 0x84, 0xc5, 0xf0, 0xad, 0xca, + 0x12, 0x28, 0xbc, 0x9d, 0xd4, 0xfa, 0x82, 0xe6, 0xe3, 0xbf, 0xa2, 0x15, 0x2c, 0xd4, 0x34, 0x10])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x61, 0xb1, 0x46, 0xba, 0x0e, 0x31, 0xa5, 0x67, 0x6c, 0x7f, 0xd6, 0xd9, 0x27, 0x85, 0x0f, 0x79, + 0x14, 0xc8, 0x6c, 0x2f, 0x5f, 0x5b, 0x9c, 0x35, 0x3d, 0x38, 0x86, 0x77, 0x65, 0x55, 0x6a, 0x7b]) , + fe([0xd3, 0xb0, 0x3a, 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0xb7, 0xb9, 0xc3, 0x88, 0x09])) + ) + v.append( + aff(fe([0xd0, 0xb6, 0x56, 0x30, 0x5c, 0xae, 0xb3, 0x75, 0x44, 0xa4, 0x83, 0x51, 0x6e, 0x01, 0x65, 0xef, + 0x45, 0x76, 0xe6, 0xf5, 0xa2, 0x0d, 0xd4, 0x16, 0x3b, 0x58, 0x2f, 0xf2, 0x2f, 0x36, 0x18, 0x3f]) , + fe([0xfd, 0x2f, 0xe0, 0x9b, 0x1e, 0x8c, 0xc5, 0x18, 0xa9, 0xca, 0xd4, 0x2b, 0x35, 0xb6, 0x95, 0x0a, + 0x9f, 0x7e, 0xfb, 0xc4, 0xef, 0x88, 0x7b, 0x23, 0x43, 0xec, 0x2f, 0x0d, 0x0f, 0x7a, 0xfc, 0x5c])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x8d, 0xd2, 0xda, 0xc7, 0x44, 0xd6, 0x7a, 0xdb, 0x26, 0x7d, 0x1d, 0xb8, 0xe1, 0xde, 0x9d, 0x7a, + 0x7d, 0x17, 0x7e, 0x1c, 0x37, 0x04, 0x8d, 0x2d, 0x7c, 0x5e, 0x18, 0x38, 0x1e, 0xaf, 0xc7, 0x1b]) , + fe([0x33, 0x48, 0x31, 0x00, 0x59, 0xf6, 0xf2, 0xca, 0x0f, 0x27, 0x1b, 0x63, 0x12, 0x7e, 0x02, 0x1d, + 0x49, 0xc0, 0x5d, 0x79, 0x87, 0xef, 0x5e, 0x7a, 0x2f, 0x1f, 0x66, 0x55, 0xd8, 0x09, 0xd9, 0x61])) + ) + v.append( + aff(fe([0x54, 0x83, 0x02, 0x18, 0x82, 0x93, 0x99, 0x07, 0xd0, 0xa7, 0xda, 0xd8, 0x75, 0x89, 0xfa, 0xf2, + 0xd9, 0xa3, 0xb8, 0x6b, 0x5a, 0x35, 0x28, 0xd2, 0x6b, 0x59, 0xc2, 0xf8, 0x45, 0xe2, 0xbc, 0x06]) , + fe([0x65, 0xc0, 0xa3, 0x88, 0x51, 0x95, 0xfc, 0x96, 0x94, 0x78, 0xe8, 0x0d, 0x8b, 0x41, 0xc9, 0xc2, + 0x58, 0x48, 0x75, 0x10, 0x2f, 0xcd, 0x2a, 0xc9, 0xa0, 0x6d, 0x0f, 0xdd, 0x9c, 0x98, 0x26, 0x3d])) + ) + v.append( + aff(fe([0x2f, 0x66, 0x29, 0x1b, 0x04, 0x89, 0xbd, 0x7e, 0xee, 0x6e, 0xdd, 0xb7, 0x0e, 0xef, 0xb0, 0x0c, + 0xb4, 0xfc, 0x7f, 0xc2, 0xc9, 0x3a, 0x3c, 0x64, 0xef, 0x45, 0x44, 0xaf, 0x8a, 0x90, 0x65, 0x76]) , + fe([0xa1, 0x4c, 0x70, 0x4b, 0x0e, 0xa0, 0x83, 0x70, 0x13, 0xa4, 0xaf, 0xb8, 0x38, 0x19, 0x22, 0x65, + 0x09, 0xb4, 0x02, 0x4f, 0x06, 0xf8, 0x17, 0xce, 0x46, 0x45, 0xda, 0x50, 0x7c, 0x8a, 0xd1, 0x4e])) + ) + v.append( + aff(fe([0xf7, 0xd4, 0x16, 0x6c, 0x4e, 0x95, 0x9d, 0x5d, 0x0f, 0x91, 0x2b, 0x52, 0xfe, 0x5c, 0x34, 0xe5, + 0x30, 0xe6, 0xa4, 0x3b, 0xf3, 0xf3, 0x34, 0x08, 0xa9, 0x4a, 0xa0, 0xb5, 0x6e, 0xb3, 0x09, 0x0a]) , + fe([0x26, 0xd9, 0x5e, 0xa3, 0x0f, 0xeb, 0xa2, 0xf3, 0x20, 0x3b, 0x37, 0xd4, 0xe4, 0x9e, 0xce, 0x06, + 0x3d, 0x53, 0xed, 0xae, 0x2b, 0xeb, 0xb6, 0x24, 0x0a, 0x11, 0xa3, 0x0f, 0xd6, 0x7f, 0xa4, 0x3a])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xdb, 0x9f, 0x2c, 0xfc, 0xd6, 0xb2, 0x1e, 0x2e, 0x52, 0x7a, 0x06, 0x87, 0x2d, 0x86, 0x72, 0x2b, + 0x6d, 0x90, 0x77, 0x46, 0x43, 0xb5, 0x7a, 0xf8, 0x60, 0x7d, 0x91, 0x60, 0x5b, 0x9d, 0x9e, 0x07]) , + fe([0x97, 0x87, 0xc7, 0x04, 0x1c, 0x38, 0x01, 0x39, 0x58, 0xc7, 0x85, 0xa3, 0xfc, 0x64, 0x00, 0x64, + 0x25, 0xa2, 0xbf, 0x50, 0x94, 0xca, 0x26, 0x31, 0x45, 0x0a, 0x24, 0xd2, 0x51, 0x29, 0x51, 0x16])) + ) + v.append( + aff(fe([0x4d, 0x4a, 0xd7, 0x98, 0x71, 0x57, 0xac, 0x7d, 0x8b, 0x37, 0xbd, 0x63, 0xff, 0x87, 0xb1, 0x49, + 0x95, 0x20, 0x7c, 0xcf, 0x7c, 0x59, 0xc4, 0x91, 0x9c, 0xef, 0xd0, 0xdb, 0x60, 0x09, 0x9d, 0x46]) , + fe([0xcb, 0x78, 0x94, 0x90, 0xe4, 0x45, 0xb3, 0xf6, 0xd9, 0xf6, 0x57, 0x74, 0xd5, 0xf8, 0x83, 0x4f, + 0x39, 0xc9, 0xbd, 0x88, 0xc2, 0x57, 0x21, 0x1f, 0x24, 0x32, 0x68, 0xf8, 0xc7, 0x21, 0x5f, 0x0b])) + ) + v.append( + aff(fe([0x2a, 0x36, 0x68, 0xfc, 0x5f, 0xb6, 0x4f, 0xa5, 0xe3, 0x9d, 0x24, 0x2f, 0xc0, 0x93, 0x61, 0xcf, + 0xf8, 0x0a, 0xed, 0xe1, 0xdb, 0x27, 0xec, 0x0e, 0x14, 0x32, 0x5f, 0x8e, 0xa1, 0x62, 0x41, 0x16]) , + fe([0x95, 0x21, 0x01, 0xce, 0x95, 0x5b, 0x0e, 0x57, 0xc7, 0xb9, 0x62, 0xb5, 0x28, 0xca, 0x11, 0xec, + 0xb4, 0x46, 0x06, 0x73, 0x26, 0xff, 0xfb, 0x66, 0x7d, 0xee, 0x5f, 0xb2, 0x56, 0xfd, 0x2a, 0x08])) + ) + v.append( + aff(fe([0x92, 0x67, 0x77, 0x56, 0xa1, 0xff, 0xc4, 0xc5, 0x95, 0xf0, 0xe3, 0x3a, 0x0a, 0xca, 0x94, 0x4d, + 0x9e, 0x7e, 0x3d, 0xb9, 0x6e, 0xb6, 0xb0, 0xce, 0xa4, 0x30, 0x89, 0x99, 0xe9, 0xad, 0x11, 0x59]) , + fe([0xf6, 0x48, 0x95, 0xa1, 0x6f, 0x5f, 0xb7, 0xa5, 0xbb, 0x30, 0x00, 0x1c, 0xd2, 0x8a, 0xd6, 0x25, + 0x26, 0x1b, 0xb2, 0x0d, 0x37, 0x6a, 0x05, 0xf4, 0x9d, 0x3e, 0x17, 0x2a, 0x43, 0xd2, 0x3a, 0x06])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x32, 0x99, 0x93, 0xd1, 0x9a, 0x72, 0xf3, 0xa9, 0x16, 0xbd, 0xb4, 0x4c, 0xdd, 0xf9, 0xd4, 0xb2, + 0x64, 0x9a, 0xd3, 0x05, 0xe4, 0xa3, 0x73, 0x1c, 0xcb, 0x7e, 0x57, 0x67, 0xff, 0x04, 0xb3, 0x10]) , + fe([0xb9, 0x4b, 0xa4, 0xad, 0xd0, 0x6d, 0x61, 0x23, 0xb4, 0xaf, 0x34, 0xa9, 0xaa, 0x65, 0xec, 0xd9, + 0x69, 0xe3, 0x85, 0xcd, 0xcc, 0xe7, 0xb0, 0x9b, 0x41, 0xc1, 0x1c, 0xf9, 0xa0, 0xfa, 0xb7, 0x13])) + ) + v.append( + aff(fe([0x04, 0xfd, 0x88, 0x3c, 0x0c, 0xd0, 0x09, 0x52, 0x51, 0x4f, 0x06, 0x19, 0xcc, 0xc3, 0xbb, 0xde, + 0x80, 0xc5, 0x33, 0xbc, 0xf9, 0xf3, 0x17, 0x36, 0xdd, 0xc6, 0xde, 0xe8, 0x9b, 0x5d, 0x79, 0x1b]) , + fe([0x65, 0x0a, 0xbe, 0x51, 0x57, 0xad, 0x50, 0x79, 0x08, 0x71, 0x9b, 0x07, 0x95, 0x8f, 0xfb, 0xae, + 0x4b, 0x38, 0xba, 0xcf, 0x53, 0x2a, 0x86, 0x1e, 0xc0, 0x50, 0x5c, 0x67, 0x1b, 0xf6, 0x87, 0x6c])) + ) + v.append( + aff(fe([0x4f, 0x00, 0xb2, 0x66, 0x55, 0xed, 0x4a, 0xed, 0x8d, 0xe1, 0x66, 0x18, 0xb2, 0x14, 0x74, 0x8d, + 0xfd, 0x1a, 0x36, 0x0f, 0x26, 0x5c, 0x8b, 0x89, 0xf3, 0xab, 0xf2, 0xf3, 0x24, 0x67, 0xfd, 0x70]) , + fe([0xfd, 0x4e, 0x2a, 0xc1, 0x3a, 0xca, 0x8f, 0x00, 0xd8, 0xec, 0x74, 0x67, 0xef, 0x61, 0xe0, 0x28, + 0xd0, 0x96, 0xf4, 0x48, 0xde, 0x81, 0xe3, 0xef, 0xdc, 0xaa, 0x7d, 0xf3, 0xb6, 0x55, 0xa6, 0x65])) + ) + v.append( + aff(fe([0xeb, 0xcb, 0xc5, 0x70, 0x91, 0x31, 0x10, 0x93, 0x0d, 0xc8, 0xd0, 0xef, 0x62, 0xe8, 0x6f, 0x82, + 0xe3, 0x69, 0x3d, 0x91, 0x7f, 0x31, 0xe1, 0x26, 0x35, 0x3c, 0x4a, 0x2f, 0xab, 0xc4, 0x9a, 0x5e]) , + fe([0xab, 0x1b, 0xb5, 0xe5, 0x2b, 0xc3, 0x0e, 0x29, 0xb0, 0xd0, 0x73, 0xe6, 0x4f, 0x64, 0xf2, 0xbc, + 0xe4, 0xe4, 0xe1, 0x9a, 0x52, 0x33, 0x2f, 0xbd, 0xcc, 0x03, 0xee, 0x8a, 0xfa, 0x00, 0x5f, 0x50])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xf6, 0xdb, 0x0d, 0x22, 0x3d, 0xb5, 0x14, 0x75, 0x31, 0xf0, 0x81, 0xe2, 0xb9, 0x37, 0xa2, 0xa9, + 0x84, 0x11, 0x9a, 0x07, 0xb5, 0x53, 0x89, 0x78, 0xa9, 0x30, 0x27, 0xa1, 0xf1, 0x4e, 0x5c, 0x2e]) , + fe([0x8b, 0x00, 0x54, 0xfb, 0x4d, 0xdc, 0xcb, 0x17, 0x35, 0x40, 0xff, 0xb7, 0x8c, 0xfe, 0x4a, 0xe4, + 0x4e, 0x99, 0x4e, 0xa8, 0x74, 0x54, 0x5d, 0x5c, 0x96, 0xa3, 0x12, 0x55, 0x36, 0x31, 0x17, 0x5c])) + ) + v.append( + aff(fe([0xce, 0x24, 0xef, 0x7b, 0x86, 0xf2, 0x0f, 0x77, 0xe8, 0x5c, 0x7d, 0x87, 0x38, 0x2d, 0xef, 0xaf, + 0xf2, 0x8c, 0x72, 0x2e, 0xeb, 0xb6, 0x55, 0x4b, 0x6e, 0xf1, 0x4e, 0x8a, 0x0e, 0x9a, 0x6c, 0x4c]) , + fe([0x25, 0xea, 0x86, 0xc2, 0xd1, 0x4f, 0xb7, 0x3e, 0xa8, 0x5c, 0x8d, 0x66, 0x81, 0x25, 0xed, 0xc5, + 0x4c, 0x05, 0xb9, 0xd8, 0xd6, 0x70, 0xbe, 0x73, 0x82, 0xe8, 0xa1, 0xe5, 0x1e, 0x71, 0xd5, 0x26])) + ) + v.append( + aff(fe([0x4e, 0x6d, 0xc3, 0xa7, 0x4f, 0x22, 0x45, 0x26, 0xa2, 0x7e, 0x16, 0xf7, 0xf7, 0x63, 0xdc, 0x86, + 0x01, 0x2a, 0x71, 0x38, 0x5c, 0x33, 0xc3, 0xce, 0x30, 0xff, 0xf9, 0x2c, 0x91, 0x71, 0x8a, 0x72]) , + fe([0x8c, 0x44, 0x09, 0x28, 0xd5, 0x23, 0xc9, 0x8f, 0xf3, 0x84, 0x45, 0xc6, 0x9a, 0x5e, 0xff, 0xd2, + 0xc7, 0x57, 0x93, 0xa3, 0xc1, 0x69, 0xdd, 0x62, 0x0f, 0xda, 0x5c, 0x30, 0x59, 0x5d, 0xe9, 0x4c])) + ) + v.append( + aff(fe([0x92, 0x7e, 0x50, 0x27, 0x72, 0xd7, 0x0c, 0xd6, 0x69, 0x96, 0x81, 0x35, 0x84, 0x94, 0x35, 0x8b, + 0x6c, 0xaa, 0x62, 0x86, 0x6e, 0x1c, 0x15, 0xf3, 0x6c, 0xb3, 0xff, 0x65, 0x1b, 0xa2, 0x9b, 0x59]) , + fe([0xe2, 0xa9, 0x65, 0x88, 0xc4, 0x50, 0xfa, 0xbb, 0x3b, 0x6e, 0x5f, 0x44, 0x01, 0xca, 0x97, 0xd4, + 0xdd, 0xf6, 0xcd, 0x3f, 0x3f, 0xe5, 0x97, 0x67, 0x2b, 0x8c, 0x66, 0x0f, 0x35, 0x9b, 0xf5, 0x07])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xf1, 0x59, 0x27, 0xd8, 0xdb, 0x5a, 0x11, 0x5e, 0x82, 0xf3, 0x38, 0xff, 0x1c, 0xed, 0xfe, 0x3f, + 0x64, 0x54, 0x3f, 0x7f, 0xd1, 0x81, 0xed, 0xef, 0x65, 0xc5, 0xcb, 0xfd, 0xe1, 0x80, 0xcd, 0x11]) , + fe([0xe0, 0xdb, 0x22, 0x28, 0xe6, 0xff, 0x61, 0x9d, 0x41, 0x14, 0x2d, 0x3b, 0x26, 0x22, 0xdf, 0xf1, + 0x34, 0x81, 0xe9, 0x45, 0xee, 0x0f, 0x98, 0x8b, 0xa6, 0x3f, 0xef, 0xf7, 0x43, 0x19, 0xf1, 0x43])) + ) + v.append( + aff(fe([0xee, 0xf3, 0x00, 0xa1, 0x50, 0xde, 0xc0, 0xb6, 0x01, 0xe3, 0x8c, 0x3c, 0x4d, 0x31, 0xd2, 0xb0, + 0x58, 0xcd, 0xed, 0x10, 0x4a, 0x7a, 0xef, 0x80, 0xa9, 0x19, 0x32, 0xf3, 0xd8, 0x33, 0x8c, 0x06]) , + fe([0xcb, 0x7d, 0x4f, 0xff, 0x30, 0xd8, 0x12, 0x3b, 0x39, 0x1c, 0x06, 0xf9, 0x4c, 0x34, 0x35, 0x71, + 0xb5, 0x16, 0x94, 0x67, 0xdf, 0xee, 0x11, 0xde, 0xa4, 0x1d, 0x88, 0x93, 0x35, 0xa9, 0x32, 0x10])) + ) + v.append( + aff(fe([0xe9, 0xc3, 0xbc, 0x7b, 0x5c, 0xfc, 0xb2, 0xf9, 0xc9, 0x2f, 0xe5, 0xba, 0x3a, 0x0b, 0xab, 0x64, + 0x38, 0x6f, 0x5b, 0x4b, 0x93, 0xda, 0x64, 0xec, 0x4d, 0x3d, 0xa0, 0xf5, 0xbb, 0xba, 0x47, 0x48]) , + fe([0x60, 0xbc, 0x45, 0x1f, 0x23, 0xa2, 0x3b, 0x70, 0x76, 0xe6, 0x97, 0x99, 0x4f, 0x77, 0x54, 0x67, + 0x30, 0x9a, 0xe7, 0x66, 0xd6, 0xcd, 0x2e, 0x51, 0x24, 0x2c, 0x42, 0x4a, 0x11, 0xfe, 0x6f, 0x7e])) + ) + v.append( + aff(fe([0x87, 0xc0, 0xb1, 0xf0, 0xa3, 0x6f, 0x0c, 0x93, 0xa9, 0x0a, 0x72, 0xef, 0x5c, 0xbe, 0x65, 0x35, + 0xa7, 0x6a, 0x4e, 0x2c, 0xbf, 0x21, 0x23, 0xe8, 0x2f, 0x97, 0xc7, 0x3e, 0xc8, 0x17, 0xac, 0x1e]) , + fe([0x7b, 0xef, 0x21, 0xe5, 0x40, 0xcc, 0x1e, 0xdc, 0xd6, 0xbd, 0x97, 0x7a, 0x7c, 0x75, 0x86, 0x7a, + 0x25, 0x5a, 0x6e, 0x7c, 0xe5, 0x51, 0x3c, 0x1b, 0x5b, 0x82, 0x9a, 0x07, 0x60, 0xa1, 0x19, 0x04])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x96, 0x88, 0xa6, 0xab, 0x8f, 0xe3, 0x3a, 0x49, 0xf8, 0xfe, 0x34, 0xe7, 0x6a, 0xb2, 0xfe, 0x40, + 0x26, 0x74, 0x57, 0x4c, 0xf6, 0xd4, 0x99, 0xce, 0x5d, 0x7b, 0x2f, 0x67, 0xd6, 0x5a, 0xe4, 0x4e]) , + fe([0x5c, 0x82, 0xb3, 0xbd, 0x55, 0x25, 0xf6, 0x6a, 0x93, 0xa4, 0x02, 0xc6, 0x7d, 0x5c, 0xb1, 0x2b, + 0x5b, 0xff, 0xfb, 0x56, 0xf8, 0x01, 0x41, 0x90, 0xc6, 0xb6, 0xac, 0x4f, 0xfe, 0xa7, 0x41, 0x70])) + ) + v.append( + aff(fe([0xdb, 0xfa, 0x9b, 0x2c, 0xd4, 0x23, 0x67, 0x2c, 0x8a, 0x63, 0x6c, 0x07, 0x26, 0x48, 0x4f, 0xc2, + 0x03, 0xd2, 0x53, 0x20, 0x28, 0xed, 0x65, 0x71, 0x47, 0xa9, 0x16, 0x16, 0x12, 0xbc, 0x28, 0x33]) , + fe([0x39, 0xc0, 0xfa, 0xfa, 0xcd, 0x33, 0x43, 0xc7, 0x97, 0x76, 0x9b, 0x93, 0x91, 0x72, 0xeb, 0xc5, + 0x18, 0x67, 0x4c, 0x11, 0xf0, 0xf4, 0xe5, 0x73, 0xb2, 0x5c, 0x1b, 0xc2, 0x26, 0x3f, 0xbf, 0x2b])) + ) + v.append( + aff(fe([0x86, 0xe6, 0x8c, 0x1d, 0xdf, 0xca, 0xfc, 0xd5, 0xf8, 0x3a, 0xc3, 0x44, 0x72, 0xe6, 0x78, 0x9d, + 0x2b, 0x97, 0xf8, 0x28, 0x45, 0xb4, 0x20, 0xc9, 0x2a, 0x8c, 0x67, 0xaa, 0x11, 0xc5, 0x5b, 0x2f]) , + fe([0x17, 0x0f, 0x86, 0x52, 0xd7, 0x9d, 0xc3, 0x44, 0x51, 0x76, 0x32, 0x65, 0xb4, 0x37, 0x81, 0x99, + 0x46, 0x37, 0x62, 0xed, 0xcf, 0x64, 0x9d, 0x72, 0x40, 0x7a, 0x4c, 0x0b, 0x76, 0x2a, 0xfb, 0x56])) + ) + v.append( + aff(fe([0x33, 0xa7, 0x90, 0x7c, 0xc3, 0x6f, 0x17, 0xa5, 0xa0, 0x67, 0x72, 0x17, 0xea, 0x7e, 0x63, 0x14, + 0x83, 0xde, 0xc1, 0x71, 0x2d, 0x41, 0x32, 0x7a, 0xf3, 0xd1, 0x2b, 0xd8, 0x2a, 0xa6, 0x46, 0x36]) , + fe([0xac, 0xcc, 0x6b, 0x7c, 0xf9, 0xb8, 0x8b, 0x08, 0x5c, 0xd0, 0x7d, 0x8f, 0x73, 0xea, 0x20, 0xda, + 0x86, 0xca, 0x00, 0xc7, 0xad, 0x73, 0x4d, 0xe9, 0xe8, 0xa9, 0xda, 0x1f, 0x03, 0x06, 0xdd, 0x24])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x9c, 0xb2, 0x61, 0x0a, 0x98, 0x2a, 0xa5, 0xd7, 0xee, 0xa9, 0xac, 0x65, 0xcb, 0x0a, 0x1e, 0xe2, + 0xbe, 0xdc, 0x85, 0x59, 0x0f, 0x9c, 0xa6, 0x57, 0x34, 0xa5, 0x87, 0xeb, 0x7b, 0x1e, 0x0c, 0x3c]) , + fe([0x2f, 0xbd, 0x84, 0x63, 0x0d, 0xb5, 0xa0, 0xf0, 0x4b, 0x9e, 0x93, 0xc6, 0x34, 0x9a, 0x34, 0xff, + 0x73, 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0x6b, 0x6e]) , + fe([0x42, 0xc9, 0xca, 0x29, 0x4c, 0x76, 0x37, 0xda, 0x8a, 0x2d, 0x7c, 0x3a, 0x58, 0xf2, 0x03, 0xb4, + 0xb5, 0xb9, 0x1a, 0x13, 0x2d, 0xde, 0x5f, 0x6b, 0x9d, 0xba, 0x52, 0xc9, 0x5d, 0xb3, 0xf3, 0x30])) + ) + v.append( + aff(fe([0x4c, 0x6f, 0xfe, 0x6b, 0x0c, 0x62, 0xd7, 0x48, 0x71, 0xef, 0xb1, 0x85, 0x79, 0xc0, 0xed, 0x24, + 0xb1, 0x08, 0x93, 0x76, 0x8e, 0xf7, 0x38, 0x8e, 0xeb, 0xfe, 0x80, 0x40, 0xaf, 0x90, 0x64, 0x49]) , + fe([0x4a, 0x88, 0xda, 0xc1, 0x98, 0x44, 0x3c, 0x53, 0x4e, 0xdb, 0x4b, 0xb9, 0x12, 0x5f, 0xcd, 0x08, + 0x04, 0xef, 0x75, 0xe7, 0xb1, 0x3a, 0xe5, 0x07, 0xfa, 0xca, 0x65, 0x7b, 0x72, 0x10, 0x64, 0x7f])) + ) + v.append( + aff(fe([0x3d, 0x81, 0xf0, 0xeb, 0x16, 0xfd, 0x58, 0x33, 0x8d, 0x7c, 0x1a, 0xfb, 0x20, 0x2c, 0x8a, 0xee, + 0x90, 0xbb, 0x33, 0x6d, 0x45, 0xe9, 0x8e, 0x99, 0x85, 0xe1, 0x08, 0x1f, 0xc5, 0xf1, 0xb5, 0x46]) , + fe([0xe4, 0xe7, 0x43, 0x4b, 0xa0, 0x3f, 0x2b, 0x06, 0xba, 0x17, 0xae, 0x3d, 0xe6, 0xce, 0xbd, 0xb8, + 0xed, 0x74, 0x11, 0x35, 0xec, 0x96, 0xfe, 0x31, 0xe3, 0x0e, 0x7a, 0x4e, 0xc9, 0x1d, 0xcb, 0x20])) + ) + v.append( + aff(fe([0xe0, 0x67, 0xe9, 0x7b, 0xdb, 0x96, 0x5c, 0xb0, 0x32, 0xd0, 0x59, 0x31, 0x90, 0xdc, 0x92, 0x97, + 0xac, 0x09, 0x38, 0x31, 0x0f, 0x7e, 0xd6, 0x5d, 0xd0, 0x06, 0xb6, 0x1f, 0xea, 0xf0, 0x5b, 0x07]) , + fe([0x81, 0x9f, 0xc7, 0xde, 0x6b, 0x41, 0x22, 0x35, 0x14, 0x67, 0x77, 0x3e, 0x90, 0x81, 0xb0, 0xd9, + 0x85, 0x4c, 0xca, 0x9b, 0x3f, 0x04, 0x59, 0xd6, 0xaa, 0x17, 0xc3, 0x88, 0x34, 0x37, 0xba, 0x43])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x4c, 0xb6, 0x69, 0xc8, 0x81, 0x95, 0x94, 0x33, 0x92, 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0xf6, 0x2f, 0xa2, 0xf4, 0x45])) + ) + v.append( + aff(fe([0x17, 0xbe, 0xeb, 0x85, 0xed, 0x9e, 0xcd, 0x56, 0xf5, 0x17, 0x45, 0x42, 0xb4, 0x1f, 0x44, 0x4c, + 0x05, 0x74, 0x15, 0x47, 0x00, 0xc6, 0x6a, 0x3d, 0x24, 0x09, 0x0d, 0x58, 0xb1, 0x42, 0xd7, 0x04]) , + fe([0x8d, 0xbd, 0xa3, 0xc4, 0x06, 0x9b, 0x1f, 0x90, 0x58, 0x60, 0x74, 0xb2, 0x00, 0x3b, 0x3c, 0xd2, + 0xda, 0x82, 0xbb, 0x10, 0x90, 0x69, 0x92, 0xa9, 0xb4, 0x30, 0x81, 0xe3, 0x7c, 0xa8, 0x89, 0x45])) + ) + v.append( + aff(fe([0x3f, 0xdc, 0x05, 0xcb, 0x41, 0x3c, 0xc8, 0x23, 0x04, 0x2c, 0x38, 0x99, 0xe3, 0x68, 0x55, 0xf9, + 0xd3, 0x32, 0xc7, 0xbf, 0xfa, 0xd4, 0x1b, 0x5d, 0xde, 0xdc, 0x10, 0x42, 0xc0, 0x42, 0xd9, 0x75]) , + fe([0x2d, 0xab, 0x35, 0x4e, 0x87, 0xc4, 0x65, 0x97, 0x67, 0x24, 0xa4, 0x47, 0xad, 0x3f, 0x8e, 0xf3, + 0xcb, 0x31, 0x17, 0x77, 0xc5, 0xe2, 0xd7, 0x8f, 0x3c, 0xc1, 0xcd, 0x56, 0x48, 0xc1, 0x6c, 0x69])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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0x13, 0x28, 0xd7, 0x11, 0xcf, 0xb8, 0xde, 0x93, 0xb3, 0x05, + 0xb8, 0xb5, 0x73, 0xe9, 0xeb, 0xad, 0x19, 0x1e, 0x89, 0x0f, 0x8b, 0x15, 0xd5, 0x8c, 0xe3, 0x23])) + ) + v.append( + aff(fe([0x33, 0x79, 0xe7, 0x18, 0xe6, 0x0f, 0x57, 0x93, 0x15, 0xa0, 0xa7, 0xaa, 0xc4, 0xbf, 0x4f, 0x30, + 0x74, 0x95, 0x5e, 0x69, 0x4a, 0x5b, 0x45, 0xe4, 0x00, 0xeb, 0x23, 0x74, 0x4c, 0xdf, 0x6b, 0x45]) , + fe([0x97, 0x29, 0x6c, 0xc4, 0x42, 0x0b, 0xdd, 0xc0, 0x29, 0x5c, 0x9b, 0x34, 0x97, 0xd0, 0xc7, 0x79, + 0x80, 0x63, 0x74, 0xe4, 0x8e, 0x37, 0xb0, 0x2b, 0x7c, 0xe8, 0x68, 0x6c, 0xc3, 0x82, 0x97, 0x57])) + ) + v.append( + aff(fe([0x22, 0xbe, 0x83, 0xb6, 0x4b, 0x80, 0x6b, 0x43, 0x24, 0x5e, 0xef, 0x99, 0x9b, 0xa8, 0xfc, 0x25, + 0x8d, 0x3b, 0x03, 0x94, 0x2b, 0x3e, 0xe7, 0x95, 0x76, 0x9b, 0xcc, 0x15, 0xdb, 0x32, 0xe6, 0x66]) , + fe([0x84, 0xf0, 0x4a, 0x13, 0xa6, 0xd6, 0xfa, 0x93, 0x46, 0x07, 0xf6, 0x7e, 0x5c, 0x6d, 0x5e, 0xf6, + 0xa6, 0xe7, 0x48, 0xf0, 0x06, 0xea, 0xff, 0x90, 0xc1, 0xcc, 0x4c, 0x19, 0x9c, 0x3c, 0x4e, 0x53])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x2a, 0x50, 0xe3, 0x07, 0x15, 0x59, 0xf2, 0x8b, 0x81, 0xf2, 0xf3, 0xd3, 0x6c, 0x99, 0x8c, 0x70, + 0x67, 0xec, 0xcc, 0xee, 0x9e, 0x59, 0x45, 0x59, 0x7d, 0x47, 0x75, 0x69, 0xf5, 0x24, 0x93, 0x5d]) , + fe([0x6a, 0x4f, 0x1b, 0xbe, 0x6b, 0x30, 0xcf, 0x75, 0x46, 0xe3, 0x7b, 0x9d, 0xfc, 0xcd, 0xd8, 0x5c, + 0x1f, 0xb4, 0xc8, 0xe2, 0x24, 0xec, 0x1a, 0x28, 0x05, 0x32, 0x57, 0xfd, 0x3c, 0x5a, 0x98, 0x10])) + ) + v.append( + aff(fe([0xa3, 0xdb, 0xf7, 0x30, 0xd8, 0xc2, 0x9a, 0xe1, 0xd3, 0xce, 0x22, 0xe5, 0x80, 0x1e, 0xd9, 0xe4, + 0x1f, 0xab, 0xc0, 0x71, 0x1a, 0x86, 0x0e, 0x27, 0x99, 0x5b, 0xfa, 0x76, 0x99, 0xb0, 0x08, 0x3c]) , + fe([0x2a, 0x93, 0xd2, 0x85, 0x1b, 0x6a, 0x5d, 0xa6, 0xee, 0xd1, 0xd1, 0x33, 0xbd, 0x6a, 0x36, 0x73, + 0x37, 0x3a, 0x44, 0xb4, 0xec, 0xa9, 0x7a, 0xde, 0x83, 0x40, 0xd7, 0xdf, 0x28, 0xba, 0xa2, 0x30])) + ) + v.append( + aff(fe([0xd3, 0xb5, 0x6d, 0x05, 0x3f, 0x9f, 0xf3, 0x15, 0x8d, 0x7c, 0xca, 0xc9, 0xfc, 0x8a, 0x7c, 0x94, + 0xb0, 0x63, 0x36, 0x9b, 0x78, 0xd1, 0x91, 0x1f, 0x93, 0xd8, 0x57, 0x43, 0xde, 0x76, 0xa3, 0x43]) , + fe([0x9b, 0x35, 0xe2, 0xa9, 0x3d, 0x32, 0x1e, 0xbb, 0x16, 0x28, 0x70, 0xe9, 0x45, 0x2f, 0x8f, 0x70, + 0x7f, 0x08, 0x7e, 0x53, 0xc4, 0x7a, 0xbf, 0xf7, 0xe1, 0xa4, 0x6a, 0xd8, 0xac, 0x64, 0x1b, 0x11])) + ) + v.append( + aff(fe([0xb2, 0xeb, 0x47, 0x46, 0x18, 0x3e, 0x1f, 0x99, 0x0c, 0xcc, 0xf1, 0x2c, 0xe0, 0xe7, 0x8f, 0xe0, + 0x01, 0x7e, 0x65, 0xb8, 0x0c, 0xd0, 0xfb, 0xc8, 0xb9, 0x90, 0x98, 0x33, 0x61, 0x3b, 0xd8, 0x27]) , + fe([0xa0, 0xbe, 0x72, 0x3a, 0x50, 0x4b, 0x74, 0xab, 0x01, 0xc8, 0x93, 0xc5, 0xe4, 0xc7, 0x08, 0x6c, + 0xb4, 0xca, 0xee, 0xeb, 0x8e, 0xd7, 0x4e, 0x26, 0xc6, 0x1d, 0xe2, 0x71, 0xaf, 0x89, 0xa0, 0x2a])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x98, 0x0b, 0xe4, 0xde, 0xdb, 0xa8, 0xfa, 0x82, 0x74, 0x06, 0x52, 0x6d, 0x08, 0x52, 0x8a, 0xff, + 0x62, 0xc5, 0x6a, 0x44, 0x0f, 0x51, 0x8c, 0x1f, 0x6e, 0xb6, 0xc6, 0x2c, 0x81, 0xd3, 0x76, 0x46]) , + fe([0xf4, 0x29, 0x74, 0x2e, 0x80, 0xa7, 0x1a, 0x8f, 0xf6, 0xbd, 0xd6, 0x8e, 0xbf, 0xc1, 0x95, 0x2a, + 0xeb, 0xa0, 0x7f, 0x45, 0xa0, 0x50, 0x14, 0x05, 0xb1, 0x57, 0x4c, 0x74, 0xb7, 0xe2, 0x89, 0x7d])) + ) + v.append( + aff(fe([0x07, 0xee, 0xa7, 0xad, 0xb7, 0x09, 0x0b, 0x49, 0x4e, 0xbf, 0xca, 0xe5, 0x21, 0xe6, 0xe6, 0xaf, + 0xd5, 0x67, 0xf3, 0xce, 0x7e, 0x7c, 0x93, 0x7b, 0x5a, 0x10, 0x12, 0x0e, 0x6c, 0x06, 0x11, 0x75]) , + fe([0xd5, 0xfc, 0x86, 0xa3, 0x3b, 0xa3, 0x3e, 0x0a, 0xfb, 0x0b, 0xf7, 0x36, 0xb1, 0x5b, 0xda, 0x70, + 0xb7, 0x00, 0xa7, 0xda, 0x88, 0x8f, 0x84, 0xa8, 0xbc, 0x1c, 0x39, 0xb8, 0x65, 0xf3, 0x4d, 0x60])) + ) + v.append( + aff(fe([0x96, 0x9d, 0x31, 0xf4, 0xa2, 0xbe, 0x81, 0xb9, 0xa5, 0x59, 0x9e, 0xba, 0x07, 0xbe, 0x74, 0x58, + 0xd8, 0xeb, 0xc5, 0x9f, 0x3d, 0xd1, 0xf4, 0xae, 0xce, 0x53, 0xdf, 0x4f, 0xc7, 0x2a, 0x89, 0x4d]) , + fe([0x29, 0xd8, 0xf2, 0xaa, 0xe9, 0x0e, 0xf7, 0x2e, 0x5f, 0x9d, 0x8a, 0x5b, 0x09, 0xed, 0xc9, 0x24, + 0x22, 0xf4, 0x0f, 0x25, 0x8f, 0x1c, 0x84, 0x6e, 0x34, 0x14, 0x6c, 0xea, 0xb3, 0x86, 0x5d, 0x04])) + ) + v.append( + aff(fe([0x07, 0x98, 0x61, 0xe8, 0x6a, 0xd2, 0x81, 0x49, 0x25, 0xd5, 0x5b, 0x18, 0xc7, 0x35, 0x52, 0x51, + 0xa4, 0x46, 0xad, 0x18, 0x0d, 0xc9, 0x5f, 0x18, 0x91, 0x3b, 0xb4, 0xc0, 0x60, 0x59, 0x8d, 0x66]) , + fe([0x03, 0x1b, 0x79, 0x53, 0x6e, 0x24, 0xae, 0x57, 0xd9, 0x58, 0x09, 0x85, 0x48, 0xa2, 0xd3, 0xb5, + 0xe2, 0x4d, 0x11, 0x82, 0xe6, 0x86, 0x3c, 0xe9, 0xb1, 0x00, 0x19, 0xc2, 0x57, 0xf7, 0x66, 0x7a])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x0f, 0xe3, 0x89, 0x03, 0xd7, 0x22, 0x95, 0x9f, 0xca, 0xb4, 0x8d, 0x9e, 0x6d, 0x97, 0xff, 0x8d, + 0x21, 0x59, 0x07, 0xef, 0x03, 0x2d, 0x5e, 0xf8, 0x44, 0x46, 0xe7, 0x85, 0x80, 0xc5, 0x89, 0x50]) , + fe([0x8b, 0xd8, 0x53, 0x86, 0x24, 0x86, 0x29, 0x52, 0x01, 0xfa, 0x20, 0xc3, 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aff(fe([0x26, 0xdc, 0x76, 0x3b, 0xfc, 0xf9, 0x9c, 0x3f, 0x89, 0x0b, 0x62, 0x53, 0xaf, 0x83, 0x01, 0x2e, + 0xbc, 0x6a, 0xc6, 0x03, 0x0d, 0x75, 0x2a, 0x0d, 0xe6, 0x94, 0x54, 0xcf, 0xb3, 0xe5, 0x96, 0x25]) , + fe([0xfe, 0x82, 0xb1, 0x74, 0x31, 0x8a, 0xa7, 0x6f, 0x56, 0xbd, 0x8d, 0xf4, 0xe0, 0x94, 0x51, 0x59, + 0xde, 0x2c, 0x5a, 0xf4, 0x84, 0x6b, 0x4a, 0x88, 0x93, 0xc0, 0x0c, 0x9a, 0xac, 0xa7, 0xa0, 0x68])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x25, 0x0d, 0xd6, 0xc7, 0x23, 0x47, 0x10, 0xad, 0xc7, 0x08, 0x5c, 0x87, 0x87, 0x93, 0x98, 0x18, + 0xb8, 0xd3, 0x9c, 0xac, 0x5a, 0x3d, 0xc5, 0x75, 0xf8, 0x49, 0x32, 0x14, 0xcc, 0x51, 0x96, 0x24]) , + fe([0x65, 0x9c, 0x5d, 0xf0, 0x37, 0x04, 0xf0, 0x34, 0x69, 0x2a, 0xf0, 0xa5, 0x64, 0xca, 0xde, 0x2b, + 0x5b, 0x15, 0x10, 0xd2, 0xab, 0x06, 0xdd, 0xc4, 0xb0, 0xb6, 0x5b, 0xc1, 0x17, 0xdf, 0x8f, 0x02])) + ) + v.append( + aff(fe([0xbd, 0x59, 0x3d, 0xbf, 0x5c, 0x31, 0x44, 0x2c, 0x32, 0x94, 0x04, 0x60, 0x84, 0x0f, 0xad, 0x00, + 0xb6, 0x8f, 0xc9, 0x1d, 0xcc, 0x5c, 0xa2, 0x49, 0x0e, 0x50, 0x91, 0x08, 0x9a, 0x43, 0x55, 0x05]) , + fe([0x5d, 0x93, 0x55, 0xdf, 0x9b, 0x12, 0x19, 0xec, 0x93, 0x85, 0x42, 0x9e, 0x66, 0x0f, 0x9d, 0xaf, + 0x99, 0xaf, 0x26, 0x89, 0xbc, 0x61, 0xfd, 0xff, 0xce, 0x4b, 0xf4, 0x33, 0x95, 0xc9, 0x35, 0x58])) + ) + v.append( + aff(fe([0x12, 0x55, 0xf9, 0xda, 0xcb, 0x44, 0xa7, 0xdc, 0x57, 0xe2, 0xf9, 0x9a, 0xe6, 0x07, 0x23, 0x60, + 0x54, 0xa7, 0x39, 0xa5, 0x9b, 0x84, 0x56, 0x6e, 0xaa, 0x8b, 0x8f, 0xb0, 0x2c, 0x87, 0xaf, 0x67]) , + fe([0x00, 0xa9, 0x4c, 0xb2, 0x12, 0xf8, 0x32, 0xa8, 0x7a, 0x00, 0x4b, 0x49, 0x32, 0xba, 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0x2d, 0xa0, 0x43, 0xb4, 0x0b, 0x19]) , + fe([0xc0, 0x61, 0x48, 0x48, 0x17, 0xf4, 0x9e, 0x18, 0x51, 0x2d, 0xea, 0x2f, 0xf2, 0xf2, 0xe0, 0xa3, + 0x14, 0xb7, 0x8b, 0x3a, 0x30, 0xf5, 0x81, 0xc1, 0x5d, 0x71, 0x39, 0x62, 0x55, 0x1f, 0x60, 0x5a])) + ) + v.append( + aff(fe([0xe5, 0x89, 0x8a, 0x76, 0x6c, 0xdb, 0x4d, 0x0a, 0x5b, 0x72, 0x9d, 0x59, 0x6e, 0x63, 0x63, 0x18, + 0x7c, 0xe3, 0xfa, 0xe2, 0xdb, 0xa1, 0x8d, 0xf4, 0xa5, 0xd7, 0x16, 0xb2, 0xd0, 0xb3, 0x3f, 0x39]) , + fe([0xce, 0x60, 0x09, 0x6c, 0xf5, 0x76, 0x17, 0x24, 0x80, 0x3a, 0x96, 0xc7, 0x94, 0x2e, 0xf7, 0x6b, + 0xef, 0xb5, 0x05, 0x96, 0xef, 0xd3, 0x7b, 0x51, 0xda, 0x05, 0x44, 0x67, 0xbc, 0x07, 0x21, 0x4e])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 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0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0x2b, 0x06, 0xd9, 0xa1, 0x5d, 0xe1, 0xf4, 0xd1, 0x1e, 0x3c, 0x9a, 0xc6, 0x29, 0x2b, 0x13, 0x13, + 0x78, 0xc0, 0xd8, 0x16, 0x17, 0x2d, 0x9e, 0xa9, 0xc9, 0x79, 0x57, 0xab, 0x24, 0x91, 0x92, 0x19]) , + fe([0x69, 0xfb, 0xa1, 0x9c, 0xa6, 0x75, 0x49, 0x7d, 0x60, 0x73, 0x40, 0x42, 0xc4, 0x13, 0x0a, 0x95, + 0x79, 0x1e, 0x04, 0x83, 0x94, 0x99, 0x9b, 0x1e, 0x0c, 0xe8, 0x1f, 0x54, 0xef, 0xcb, 0xc0, 0x52])) + ) + v.append( + aff(fe([0x14, 0x89, 0x73, 0xa1, 0x37, 0x87, 0x6a, 0x7a, 0xcf, 0x1d, 0xd9, 0x2e, 0x1a, 0x67, 0xed, 0x74, + 0xc0, 0xf0, 0x9c, 0x33, 0xdd, 0xdf, 0x08, 0xbf, 0x7b, 0xd1, 0x66, 0xda, 0xe6, 0xc9, 0x49, 0x08]) , + fe([0xe9, 0xdd, 0x5e, 0x55, 0xb0, 0x0a, 0xde, 0x21, 0x4c, 0x5a, 0x2e, 0xd4, 0x80, 0x3a, 0x57, 0x92, + 0x7a, 0xf1, 0xc4, 0x2c, 0x40, 0xaf, 0x2f, 0xc9, 0x92, 0x03, 0xe5, 0x5a, 0xbc, 0xdc, 0xf4, 0x09])) + ) + v.append( + aff(fe([0xf3, 0xe1, 0x2b, 0x7c, 0x05, 0x86, 0x80, 0x93, 0x4a, 0xad, 0xb4, 0x8f, 0x7e, 0x99, 0x0c, 0xfd, + 0xcd, 0xef, 0xd1, 0xff, 0x2c, 0x69, 0x34, 0x13, 0x41, 0x64, 0xcf, 0x3b, 0xd0, 0x90, 0x09, 0x1e]) , + fe([0x9d, 0x45, 0xd6, 0x80, 0xe6, 0x45, 0xaa, 0xf4, 0x15, 0xaa, 0x5c, 0x34, 0x87, 0x99, 0xa2, 0x8c, + 0x26, 0x84, 0x62, 0x7d, 0xb6, 0x29, 0xc0, 0x52, 0xea, 0xf5, 0x81, 0x18, 0x0f, 0x35, 0xa9, 0x0e])) + ) + v.append( + aff(fe([0xe7, 0x20, 0x72, 0x7c, 0x6d, 0x94, 0x5f, 0x52, 0x44, 0x54, 0xe3, 0xf1, 0xb2, 0xb0, 0x36, 0x46, + 0x0f, 0xae, 0x92, 0xe8, 0x70, 0x9d, 0x6e, 0x79, 0xb1, 0xad, 0x37, 0xa9, 0x5f, 0xc0, 0xde, 0x03]) , + fe([0x15, 0x55, 0x37, 0xc6, 0x1c, 0x27, 0x1c, 0x6d, 0x14, 0x4f, 0xca, 0xa4, 0xc4, 0x88, 0x25, 0x46, + 0x39, 0xfc, 0x5a, 0xe5, 0xfe, 0x29, 0x11, 0x69, 0xf5, 0x72, 0x84, 0x4d, 0x78, 0x9f, 0x94, 0x15])) + ) + v.append( + aff(fe([0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + fe([0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00])) + ) + v.append( + aff(fe([0xec, 0xd3, 0xff, 0x57, 0x0b, 0xb0, 0xb2, 0xdc, 0xf8, 0x4f, 0xe2, 0x12, 0xd5, 0x36, 0xbe, 0x6b, + 0x09, 0x43, 0x6d, 0xa3, 0x4d, 0x90, 0x2d, 0xb8, 0x74, 0xe8, 0x71, 0x45, 0x19, 0x8b, 0x0c, 0x6a]) , + fe([0xb8, 0x42, 0x1c, 0x03, 0xad, 0x2c, 0x03, 0x8e, 0xac, 0xd7, 0x98, 0x29, 0x13, 0xc6, 0x02, 0x29, + 0xb5, 0xd4, 0xe7, 0xcf, 0xcc, 0x8b, 0x83, 0xec, 0x35, 0xc7, 0x9c, 0x74, 0xb7, 0xad, 0x85, 0x5f])) + ) + v.append( + aff(fe([0x78, 0x84, 0xe1, 0x56, 0x45, 0x69, 0x68, 0x5a, 0x4f, 0xb8, 0xb1, 0x29, 0xff, 0x33, 0x03, 0x31, + 0xb7, 0xcb, 0x96, 0x25, 0xe6, 0xe6, 0x41, 0x98, 0x1a, 0xbb, 0x03, 0x56, 0xf2, 0xb2, 0x91, 0x34]) , + fe([0x2c, 0x6c, 0xf7, 0x66, 0xa4, 0x62, 0x6b, 0x39, 0xb3, 0xba, 0x65, 0xd3, 0x1c, 0xf8, 0x11, 0xaa, + 0xbe, 0xdc, 0x80, 0x59, 0x87, 0xf5, 0x7b, 0xe5, 0xe3, 0xb3, 0x3e, 0x39, 0xda, 0xbe, 0x88, 0x09])) + ) + v.append( + aff(fe([0x8b, 0xf1, 0xa0, 0xf5, 0xdc, 0x29, 0xb4, 0xe2, 0x07, 0xc6, 0x7a, 0x00, 0xd0, 0x89, 0x17, 0x51, + 0xd4, 0xbb, 0xd4, 0x22, 0xea, 0x7e, 0x7d, 0x7c, 0x24, 0xea, 0xf2, 0xe8, 0x22, 0x12, 0x95, 0x06]) , + fe([0xda, 0x7c, 0xa4, 0x0c, 0xf4, 0xba, 0x6e, 0xe1, 0x89, 0xb5, 0x59, 0xca, 0xf1, 0xc0, 0x29, 0x36, + 0x09, 0x44, 0xe2, 0x7f, 0xd1, 0x63, 0x15, 0x99, 0xea, 0x25, 0xcf, 0x0c, 0x9d, 0xc0, 0x44, 0x6f])) + ) + v.append( + aff(fe([0x1d, 0x86, 0x4e, 0xcf, 0xf7, 0x37, 0x10, 0x25, 0x8f, 0x12, 0xfb, 0x19, 0xfb, 0xe0, 0xed, 0x10, + 0xc8, 0xe2, 0xf5, 0x75, 0xb1, 0x33, 0xc0, 0x96, 0x0d, 0xfb, 0x15, 0x6c, 0x0d, 0x07, 0x5f, 0x05]) , + fe([0x69, 0x3e, 0x47, 0x97, 0x2c, 0xaf, 0x52, 0x7c, 0x78, 0x83, 0xad, 0x1b, 0x39, 0x82, 0x2f, 0x02, + 0x6f, 0x47, 0xdb, 0x2a, 0xb0, 0xe1, 0x91, 0x99, 0x55, 0xb8, 0x99, 0x3a, 0xa0, 0x44, 0x11, 0x51]) + ) + ) + if v.count != 85 * 5 { + assert(false) + } + } + } +}