kryoptic-lib 1.5.1

// Copyright 2025 Simo Sorce
// See LICENSE.txt file for terms

//! Module containing data to check Well Known Groups
//! We need to duplicate data here, because OpenSSL does not give us
//! direct access to this data for validation purposes.

use crate::error::Result;
use crate::object::Object;
use crate::pkcs11::*;

/// RFC 7719 Appendix A.1 ffdhe2048 prime
/// p = 2^2048 - 2^1984 + {[2^1918 * e] + 560316 } * 2^64 - 1
pub static FFDHE2048_P: [u8; 256] = [
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
    0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
    0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
    0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
    0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
    0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
    0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
    0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
    0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
    0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
    0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
    0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
    0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
    0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
    0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
    0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
    0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
    0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
    0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
    0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
    0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF,
];
/// q = (p-1)/2
pub static FFDHE2048_Q: [u8; 256] = [
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xD6, 0xFC, 0x2A, 0x2C,
    0x51, 0x5D, 0xA5, 0x4D, 0x57, 0xEE, 0x2B, 0x10, 0x13, 0x9E, 0x9E, 0x78,
    0xEC, 0x5C, 0xE2, 0xC1, 0xE7, 0x16, 0x9B, 0x4A, 0xD4, 0xF0, 0x9B, 0x20,
    0x8A, 0x32, 0x19, 0xFD, 0xE6, 0x49, 0xCE, 0xE7, 0x12, 0x4D, 0x9F, 0x7C,
    0xBE, 0x97, 0xF1, 0xB1, 0xB1, 0x86, 0x3A, 0xEC, 0x7B, 0x40, 0xD9, 0x01,
    0x57, 0x62, 0x30, 0xBD, 0x69, 0xEF, 0x8F, 0x6A, 0xEA, 0xFE, 0xB2, 0xB0,
    0x92, 0x19, 0xFA, 0x8F, 0xAF, 0x83, 0x37, 0x68, 0x42, 0xB1, 0xB2, 0xAA,
    0x9E, 0xF6, 0x8D, 0x79, 0xDA, 0xAB, 0x89, 0xAF, 0x3F, 0xAB, 0xE4, 0x9A,
    0xCC, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xBB, 0xF1, 0x53, 0x44, 0xED,
    0x79, 0xF7, 0xF4, 0x39, 0x0E, 0xF8, 0xAC, 0x50, 0x9B, 0x56, 0xF3, 0x9A,
    0x98, 0x56, 0x65, 0x27, 0xA4, 0x1D, 0x3C, 0xBD, 0x5E, 0x05, 0x58, 0xC1,
    0x59, 0x92, 0x7D, 0xB0, 0xE8, 0x84, 0x54, 0xA5, 0xD9, 0x64, 0x71, 0xFD,
    0xDC, 0xB5, 0x6D, 0x5B, 0xB0, 0x6B, 0xFA, 0x34, 0x0E, 0xA7, 0xA1, 0x51,
    0xEF, 0x1C, 0xA6, 0xFA, 0x57, 0x2B, 0x76, 0xF3, 0xB1, 0xB9, 0x5D, 0x8C,
    0x85, 0x83, 0xD3, 0xE4, 0x77, 0x05, 0x36, 0xB8, 0x4F, 0x01, 0x7E, 0x70,
    0xE6, 0xFB, 0xF1, 0x76, 0x60, 0x1A, 0x02, 0x66, 0x94, 0x1A, 0x17, 0xB0,
    0xC8, 0xB9, 0x7F, 0x4E, 0x74, 0xC2, 0xC1, 0xFF, 0xC7, 0x27, 0x89, 0x19,
    0x77, 0x79, 0x40, 0xC1, 0xE1, 0xFF, 0x1D, 0x8D, 0xA6, 0x37, 0xD6, 0xB9,
    0x9D, 0xDA, 0xFE, 0x5E, 0x17, 0x61, 0x10, 0x02, 0xE2, 0xC7, 0x78, 0xC1,
    0xBE, 0x8B, 0x41, 0xD9, 0x63, 0x79, 0xA5, 0x13, 0x60, 0xD9, 0x77, 0xFD,
    0x44, 0x35, 0xA1, 0x1C, 0x30, 0x94, 0x2E, 0x4B, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF,
];

/// RFC 7719 Appendix A.1 ffdhe3072 prime
/// p = 2^3072 - 2^3008 + {[2^2942 * e] + 2625351} * 2^64 - 1
static FFDHE3072_P: [u8; 384] = [
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
    0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
    0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
    0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
    0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
    0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
    0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
    0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
    0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
    0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
    0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
    0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
    0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
    0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
    0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
    0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
    0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
    0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
    0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
    0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
    0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
    0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
    0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
    0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
    0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
    0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
    0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
    0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
    0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
    0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
    0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
    0x66, 0xC6, 0x2E, 0x37, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];
/// q = (p-1)/2
static FFDHE3072_Q: [u8; 384] = [
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xD6, 0xFC, 0x2A, 0x2C,
    0x51, 0x5D, 0xA5, 0x4D, 0x57, 0xEE, 0x2B, 0x10, 0x13, 0x9E, 0x9E, 0x78,
    0xEC, 0x5C, 0xE2, 0xC1, 0xE7, 0x16, 0x9B, 0x4A, 0xD4, 0xF0, 0x9B, 0x20,
    0x8A, 0x32, 0x19, 0xFD, 0xE6, 0x49, 0xCE, 0xE7, 0x12, 0x4D, 0x9F, 0x7C,
    0xBE, 0x97, 0xF1, 0xB1, 0xB1, 0x86, 0x3A, 0xEC, 0x7B, 0x40, 0xD9, 0x01,
    0x57, 0x62, 0x30, 0xBD, 0x69, 0xEF, 0x8F, 0x6A, 0xEA, 0xFE, 0xB2, 0xB0,
    0x92, 0x19, 0xFA, 0x8F, 0xAF, 0x83, 0x37, 0x68, 0x42, 0xB1, 0xB2, 0xAA,
    0x9E, 0xF6, 0x8D, 0x79, 0xDA, 0xAB, 0x89, 0xAF, 0x3F, 0xAB, 0xE4, 0x9A,
    0xCC, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xBB, 0xF1, 0x53, 0x44, 0xED,
    0x79, 0xF7, 0xF4, 0x39, 0x0E, 0xF8, 0xAC, 0x50, 0x9B, 0x56, 0xF3, 0x9A,
    0x98, 0x56, 0x65, 0x27, 0xA4, 0x1D, 0x3C, 0xBD, 0x5E, 0x05, 0x58, 0xC1,
    0x59, 0x92, 0x7D, 0xB0, 0xE8, 0x84, 0x54, 0xA5, 0xD9, 0x64, 0x71, 0xFD,
    0xDC, 0xB5, 0x6D, 0x5B, 0xB0, 0x6B, 0xFA, 0x34, 0x0E, 0xA7, 0xA1, 0x51,
    0xEF, 0x1C, 0xA6, 0xFA, 0x57, 0x2B, 0x76, 0xF3, 0xB1, 0xB9, 0x5D, 0x8C,
    0x85, 0x83, 0xD3, 0xE4, 0x77, 0x05, 0x36, 0xB8, 0x4F, 0x01, 0x7E, 0x70,
    0xE6, 0xFB, 0xF1, 0x76, 0x60, 0x1A, 0x02, 0x66, 0x94, 0x1A, 0x17, 0xB0,
    0xC8, 0xB9, 0x7F, 0x4E, 0x74, 0xC2, 0xC1, 0xFF, 0xC7, 0x27, 0x89, 0x19,
    0x77, 0x79, 0x40, 0xC1, 0xE1, 0xFF, 0x1D, 0x8D, 0xA6, 0x37, 0xD6, 0xB9,
    0x9D, 0xDA, 0xFE, 0x5E, 0x17, 0x61, 0x10, 0x02, 0xE2, 0xC7, 0x78, 0xC1,
    0xBE, 0x8B, 0x41, 0xD9, 0x63, 0x79, 0xA5, 0x13, 0x60, 0xD9, 0x77, 0xFD,
    0x44, 0x35, 0xA1, 0x1C, 0x30, 0x8F, 0xE7, 0xEE, 0x6F, 0x1A, 0xAD, 0x9D,
    0xB2, 0x8C, 0x81, 0xAD, 0xDE, 0x1A, 0x7A, 0x6F, 0x7C, 0xCE, 0x01, 0x1C,
    0x30, 0xDA, 0x37, 0xE4, 0xEB, 0x73, 0x64, 0x83, 0xBD, 0x6C, 0x8E, 0x93,
    0x48, 0xFB, 0xFB, 0xF7, 0x2C, 0xC6, 0x58, 0x7D, 0x60, 0xC3, 0x6C, 0x8E,
    0x57, 0x7F, 0x09, 0x84, 0xC2, 0x89, 0xC9, 0x38, 0x5A, 0x09, 0x86, 0x49,
    0xDE, 0x21, 0xBC, 0xA2, 0x7A, 0x7E, 0xA2, 0x29, 0x71, 0x6B, 0xA6, 0xE9,
    0xB2, 0x79, 0x71, 0x0F, 0x38, 0xFA, 0xA5, 0xFF, 0xAE, 0x57, 0x41, 0x55,
    0xCE, 0x4E, 0xFB, 0x4F, 0x74, 0x36, 0x95, 0xE2, 0x91, 0x1B, 0x1D, 0x06,
    0xD5, 0xE2, 0x90, 0xCB, 0xCD, 0x86, 0xF5, 0x6D, 0x0E, 0xDF, 0xCD, 0x21,
    0x6A, 0xE2, 0x24, 0x27, 0x05, 0x5E, 0x68, 0x35, 0xFD, 0x29, 0xEE, 0xF7,
    0x9E, 0x0D, 0x90, 0x77, 0x1F, 0xEA, 0xCE, 0xBE, 0x12, 0xF2, 0x0E, 0x95,
    0xB3, 0x63, 0x17, 0x1B, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];

/// RFC 7719 Appendix A.1 ffdhe4096 prime
/// p = 2^4096 - 2^4032 + {[2^3966 * e] + 5736041} * 2^64 - 1
static FFDHE4096_P: [u8; 512] = [
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
    0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
    0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
    0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
    0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
    0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
    0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
    0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
    0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
    0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
    0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
    0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
    0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
    0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
    0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
    0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
    0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
    0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
    0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
    0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
    0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
    0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
    0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
    0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
    0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
    0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
    0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
    0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
    0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
    0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
    0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
    0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB,
    0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42,
    0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04,
    0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86,
    0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32,
    0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9,
    0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A,
    0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9,
    0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF,
    0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51,
    0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];
/// q = (p-1)/2
static FFDHE4096_Q: [u8; 512] = [
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xD6, 0xFC, 0x2A, 0x2C,
    0x51, 0x5D, 0xA5, 0x4D, 0x57, 0xEE, 0x2B, 0x10, 0x13, 0x9E, 0x9E, 0x78,
    0xEC, 0x5C, 0xE2, 0xC1, 0xE7, 0x16, 0x9B, 0x4A, 0xD4, 0xF0, 0x9B, 0x20,
    0x8A, 0x32, 0x19, 0xFD, 0xE6, 0x49, 0xCE, 0xE7, 0x12, 0x4D, 0x9F, 0x7C,
    0xBE, 0x97, 0xF1, 0xB1, 0xB1, 0x86, 0x3A, 0xEC, 0x7B, 0x40, 0xD9, 0x01,
    0x57, 0x62, 0x30, 0xBD, 0x69, 0xEF, 0x8F, 0x6A, 0xEA, 0xFE, 0xB2, 0xB0,
    0x92, 0x19, 0xFA, 0x8F, 0xAF, 0x83, 0x37, 0x68, 0x42, 0xB1, 0xB2, 0xAA,
    0x9E, 0xF6, 0x8D, 0x79, 0xDA, 0xAB, 0x89, 0xAF, 0x3F, 0xAB, 0xE4, 0x9A,
    0xCC, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xBB, 0xF1, 0x53, 0x44, 0xED,
    0x79, 0xF7, 0xF4, 0x39, 0x0E, 0xF8, 0xAC, 0x50, 0x9B, 0x56, 0xF3, 0x9A,
    0x98, 0x56, 0x65, 0x27, 0xA4, 0x1D, 0x3C, 0xBD, 0x5E, 0x05, 0x58, 0xC1,
    0x59, 0x92, 0x7D, 0xB0, 0xE8, 0x84, 0x54, 0xA5, 0xD9, 0x64, 0x71, 0xFD,
    0xDC, 0xB5, 0x6D, 0x5B, 0xB0, 0x6B, 0xFA, 0x34, 0x0E, 0xA7, 0xA1, 0x51,
    0xEF, 0x1C, 0xA6, 0xFA, 0x57, 0x2B, 0x76, 0xF3, 0xB1, 0xB9, 0x5D, 0x8C,
    0x85, 0x83, 0xD3, 0xE4, 0x77, 0x05, 0x36, 0xB8, 0x4F, 0x01, 0x7E, 0x70,
    0xE6, 0xFB, 0xF1, 0x76, 0x60, 0x1A, 0x02, 0x66, 0x94, 0x1A, 0x17, 0xB0,
    0xC8, 0xB9, 0x7F, 0x4E, 0x74, 0xC2, 0xC1, 0xFF, 0xC7, 0x27, 0x89, 0x19,
    0x77, 0x79, 0x40, 0xC1, 0xE1, 0xFF, 0x1D, 0x8D, 0xA6, 0x37, 0xD6, 0xB9,
    0x9D, 0xDA, 0xFE, 0x5E, 0x17, 0x61, 0x10, 0x02, 0xE2, 0xC7, 0x78, 0xC1,
    0xBE, 0x8B, 0x41, 0xD9, 0x63, 0x79, 0xA5, 0x13, 0x60, 0xD9, 0x77, 0xFD,
    0x44, 0x35, 0xA1, 0x1C, 0x30, 0x8F, 0xE7, 0xEE, 0x6F, 0x1A, 0xAD, 0x9D,
    0xB2, 0x8C, 0x81, 0xAD, 0xDE, 0x1A, 0x7A, 0x6F, 0x7C, 0xCE, 0x01, 0x1C,
    0x30, 0xDA, 0x37, 0xE4, 0xEB, 0x73, 0x64, 0x83, 0xBD, 0x6C, 0x8E, 0x93,
    0x48, 0xFB, 0xFB, 0xF7, 0x2C, 0xC6, 0x58, 0x7D, 0x60, 0xC3, 0x6C, 0x8E,
    0x57, 0x7F, 0x09, 0x84, 0xC2, 0x89, 0xC9, 0x38, 0x5A, 0x09, 0x86, 0x49,
    0xDE, 0x21, 0xBC, 0xA2, 0x7A, 0x7E, 0xA2, 0x29, 0x71, 0x6B, 0xA6, 0xE9,
    0xB2, 0x79, 0x71, 0x0F, 0x38, 0xFA, 0xA5, 0xFF, 0xAE, 0x57, 0x41, 0x55,
    0xCE, 0x4E, 0xFB, 0x4F, 0x74, 0x36, 0x95, 0xE2, 0x91, 0x1B, 0x1D, 0x06,
    0xD5, 0xE2, 0x90, 0xCB, 0xCD, 0x86, 0xF5, 0x6D, 0x0E, 0xDF, 0xCD, 0x21,
    0x6A, 0xE2, 0x24, 0x27, 0x05, 0x5E, 0x68, 0x35, 0xFD, 0x29, 0xEE, 0xF7,
    0x9E, 0x0D, 0x90, 0x77, 0x1F, 0xEA, 0xCE, 0xBE, 0x12, 0xF2, 0x0E, 0x95,
    0xB3, 0x4F, 0x0F, 0x78, 0xB7, 0x37, 0xA9, 0x61, 0x8B, 0x26, 0xFA, 0x7D,
    0xBC, 0x98, 0x74, 0xF2, 0x72, 0xC4, 0x2B, 0xDB, 0x56, 0x3E, 0xAF, 0xA1,
    0x6B, 0x4F, 0xB6, 0x8C, 0x3B, 0xB1, 0xE7, 0x8E, 0xAA, 0x81, 0xA0, 0x02,
    0x43, 0xFA, 0xAD, 0xD2, 0xBF, 0x18, 0xE6, 0x3D, 0x38, 0x9A, 0xE4, 0x43,
    0x77, 0xDA, 0x18, 0xC5, 0x76, 0xB5, 0x0F, 0x00, 0x96, 0xCF, 0x34, 0x19,
    0x54, 0x83, 0xB0, 0x05, 0x48, 0xC0, 0x98, 0x62, 0x36, 0xE3, 0xBC, 0x7C,
    0xB8, 0xD6, 0x80, 0x1C, 0x04, 0x94, 0xCC, 0xD1, 0x99, 0xE5, 0xC5, 0xBD,
    0x0D, 0x0E, 0xDC, 0x9E, 0xB8, 0xA0, 0x00, 0x1E, 0x15, 0x27, 0x67, 0x54,
    0xFC, 0xC6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xE6, 0xE7, 0x64, 0xBE, 0xE7,
    0xC7, 0x64, 0xDA, 0xAD, 0x3F, 0xC4, 0x52, 0x35, 0xA6, 0xDA, 0xD4, 0x28,
    0xFA, 0x20, 0xC1, 0x70, 0xE3, 0x45, 0x00, 0x3F, 0x2F, 0x32, 0xAF, 0xB5,
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];

/// RFC 7719 Appendix A.1 ffdhe6144 prime
/// p = 2^6144 - 2^6080 + {[2^6014 * e] + 15705020} * 2^64 - 1
static FFDHE6144_P: [u8; 768] = [
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
    0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
    0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
    0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
    0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
    0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
    0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
    0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
    0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
    0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
    0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
    0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
    0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
    0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
    0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
    0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
    0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
    0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
    0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
    0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
    0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
    0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
    0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
    0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
    0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
    0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
    0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
    0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
    0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
    0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
    0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
    0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB,
    0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42,
    0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04,
    0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86,
    0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32,
    0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9,
    0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A,
    0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9,
    0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF,
    0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51,
    0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02,
    0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C,
    0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6,
    0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64,
    0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A,
    0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E,
    0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77,
    0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E,
    0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3,
    0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C,
    0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4,
    0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E,
    0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6,
    0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58,
    0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C,
    0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31,
    0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A,
    0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5,
    0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04,
    0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E,
    0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1,
    0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C,
    0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];
/// q = (p-1)/2
static FFDHE6144_Q: [u8; 768] = [
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xD6, 0xFC, 0x2A, 0x2C,
    0x51, 0x5D, 0xA5, 0x4D, 0x57, 0xEE, 0x2B, 0x10, 0x13, 0x9E, 0x9E, 0x78,
    0xEC, 0x5C, 0xE2, 0xC1, 0xE7, 0x16, 0x9B, 0x4A, 0xD4, 0xF0, 0x9B, 0x20,
    0x8A, 0x32, 0x19, 0xFD, 0xE6, 0x49, 0xCE, 0xE7, 0x12, 0x4D, 0x9F, 0x7C,
    0xBE, 0x97, 0xF1, 0xB1, 0xB1, 0x86, 0x3A, 0xEC, 0x7B, 0x40, 0xD9, 0x01,
    0x57, 0x62, 0x30, 0xBD, 0x69, 0xEF, 0x8F, 0x6A, 0xEA, 0xFE, 0xB2, 0xB0,
    0x92, 0x19, 0xFA, 0x8F, 0xAF, 0x83, 0x37, 0x68, 0x42, 0xB1, 0xB2, 0xAA,
    0x9E, 0xF6, 0x8D, 0x79, 0xDA, 0xAB, 0x89, 0xAF, 0x3F, 0xAB, 0xE4, 0x9A,
    0xCC, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xBB, 0xF1, 0x53, 0x44, 0xED,
    0x79, 0xF7, 0xF4, 0x39, 0x0E, 0xF8, 0xAC, 0x50, 0x9B, 0x56, 0xF3, 0x9A,
    0x98, 0x56, 0x65, 0x27, 0xA4, 0x1D, 0x3C, 0xBD, 0x5E, 0x05, 0x58, 0xC1,
    0x59, 0x92, 0x7D, 0xB0, 0xE8, 0x84, 0x54, 0xA5, 0xD9, 0x64, 0x71, 0xFD,
    0xDC, 0xB5, 0x6D, 0x5B, 0xB0, 0x6B, 0xFA, 0x34, 0x0E, 0xA7, 0xA1, 0x51,
    0xEF, 0x1C, 0xA6, 0xFA, 0x57, 0x2B, 0x76, 0xF3, 0xB1, 0xB9, 0x5D, 0x8C,
    0x85, 0x83, 0xD3, 0xE4, 0x77, 0x05, 0x36, 0xB8, 0x4F, 0x01, 0x7E, 0x70,
    0xE6, 0xFB, 0xF1, 0x76, 0x60, 0x1A, 0x02, 0x66, 0x94, 0x1A, 0x17, 0xB0,
    0xC8, 0xB9, 0x7F, 0x4E, 0x74, 0xC2, 0xC1, 0xFF, 0xC7, 0x27, 0x89, 0x19,
    0x77, 0x79, 0x40, 0xC1, 0xE1, 0xFF, 0x1D, 0x8D, 0xA6, 0x37, 0xD6, 0xB9,
    0x9D, 0xDA, 0xFE, 0x5E, 0x17, 0x61, 0x10, 0x02, 0xE2, 0xC7, 0x78, 0xC1,
    0xBE, 0x8B, 0x41, 0xD9, 0x63, 0x79, 0xA5, 0x13, 0x60, 0xD9, 0x77, 0xFD,
    0x44, 0x35, 0xA1, 0x1C, 0x30, 0x8F, 0xE7, 0xEE, 0x6F, 0x1A, 0xAD, 0x9D,
    0xB2, 0x8C, 0x81, 0xAD, 0xDE, 0x1A, 0x7A, 0x6F, 0x7C, 0xCE, 0x01, 0x1C,
    0x30, 0xDA, 0x37, 0xE4, 0xEB, 0x73, 0x64, 0x83, 0xBD, 0x6C, 0x8E, 0x93,
    0x48, 0xFB, 0xFB, 0xF7, 0x2C, 0xC6, 0x58, 0x7D, 0x60, 0xC3, 0x6C, 0x8E,
    0x57, 0x7F, 0x09, 0x84, 0xC2, 0x89, 0xC9, 0x38, 0x5A, 0x09, 0x86, 0x49,
    0xDE, 0x21, 0xBC, 0xA2, 0x7A, 0x7E, 0xA2, 0x29, 0x71, 0x6B, 0xA6, 0xE9,
    0xB2, 0x79, 0x71, 0x0F, 0x38, 0xFA, 0xA5, 0xFF, 0xAE, 0x57, 0x41, 0x55,
    0xCE, 0x4E, 0xFB, 0x4F, 0x74, 0x36, 0x95, 0xE2, 0x91, 0x1B, 0x1D, 0x06,
    0xD5, 0xE2, 0x90, 0xCB, 0xCD, 0x86, 0xF5, 0x6D, 0x0E, 0xDF, 0xCD, 0x21,
    0x6A, 0xE2, 0x24, 0x27, 0x05, 0x5E, 0x68, 0x35, 0xFD, 0x29, 0xEE, 0xF7,
    0x9E, 0x0D, 0x90, 0x77, 0x1F, 0xEA, 0xCE, 0xBE, 0x12, 0xF2, 0x0E, 0x95,
    0xB3, 0x4F, 0x0F, 0x78, 0xB7, 0x37, 0xA9, 0x61, 0x8B, 0x26, 0xFA, 0x7D,
    0xBC, 0x98, 0x74, 0xF2, 0x72, 0xC4, 0x2B, 0xDB, 0x56, 0x3E, 0xAF, 0xA1,
    0x6B, 0x4F, 0xB6, 0x8C, 0x3B, 0xB1, 0xE7, 0x8E, 0xAA, 0x81, 0xA0, 0x02,
    0x43, 0xFA, 0xAD, 0xD2, 0xBF, 0x18, 0xE6, 0x3D, 0x38, 0x9A, 0xE4, 0x43,
    0x77, 0xDA, 0x18, 0xC5, 0x76, 0xB5, 0x0F, 0x00, 0x96, 0xCF, 0x34, 0x19,
    0x54, 0x83, 0xB0, 0x05, 0x48, 0xC0, 0x98, 0x62, 0x36, 0xE3, 0xBC, 0x7C,
    0xB8, 0xD6, 0x80, 0x1C, 0x04, 0x94, 0xCC, 0xD1, 0x99, 0xE5, 0xC5, 0xBD,
    0x0D, 0x0E, 0xDC, 0x9E, 0xB8, 0xA0, 0x00, 0x1E, 0x15, 0x27, 0x67, 0x54,
    0xFC, 0xC6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xE6, 0xE7, 0x64, 0xBE, 0xE7,
    0xC7, 0x64, 0xDA, 0xAD, 0x3F, 0xC4, 0x52, 0x35, 0xA6, 0xDA, 0xD4, 0x28,
    0xFA, 0x20, 0xC1, 0x70, 0xE3, 0x45, 0x00, 0x3F, 0x2F, 0x06, 0xEC, 0x81,
    0x05, 0xFE, 0xB2, 0x5B, 0x22, 0x81, 0xB6, 0x3D, 0x27, 0x33, 0xBE, 0x96,
    0x1C, 0x29, 0x95, 0x1D, 0x11, 0xDD, 0x22, 0x21, 0x65, 0x7A, 0x9F, 0x53,
    0x1D, 0xDA, 0x2A, 0x19, 0x4D, 0xBB, 0x12, 0x64, 0x48, 0xBD, 0xEE, 0xB2,
    0x58, 0xE0, 0x7E, 0xA6, 0x59, 0xC7, 0x46, 0x19, 0xA6, 0x38, 0x0E, 0x1D,
    0x66, 0xD6, 0x83, 0x2B, 0xFE, 0x67, 0xF6, 0x38, 0xCD, 0x8F, 0xAE, 0x1F,
    0x27, 0x23, 0x02, 0x0F, 0x9C, 0x40, 0xA3, 0xFD, 0xA6, 0x7E, 0xDA, 0x3B,
    0xD2, 0x92, 0x38, 0xFB, 0xD4, 0xD4, 0xB4, 0x88, 0x5C, 0x2A, 0x99, 0x17,
    0x6D, 0xB1, 0xA0, 0x6C, 0x50, 0x07, 0x78, 0x49, 0x1A, 0x82, 0x88, 0xF1,
    0x85, 0x5F, 0x60, 0xFF, 0xFC, 0xF1, 0xD1, 0x37, 0x3F, 0xD9, 0x4F, 0xC6,
    0x0C, 0x18, 0x11, 0xE1, 0xAC, 0x3F, 0x1C, 0x6D, 0x00, 0x3B, 0xEC, 0xDA,
    0x3B, 0x1F, 0x27, 0x25, 0xCA, 0x59, 0x5D, 0xE0, 0xCA, 0x63, 0x32, 0x8F,
    0x3B, 0xE5, 0x7C, 0xC9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0D, 0xFB,
    0x59, 0xD3, 0x9C, 0xE0, 0x91, 0x30, 0x8B, 0x41, 0x05, 0x74, 0x6D, 0xAC,
    0x23, 0xD3, 0x3E, 0x5F, 0x7C, 0xE4, 0x84, 0x8D, 0xA3, 0x16, 0xA9, 0xC6,
    0x6B, 0x95, 0x81, 0xBA, 0x35, 0x73, 0xBF, 0xAF, 0x31, 0x14, 0x96, 0x18,
    0x8A, 0xB1, 0x54, 0x23, 0x28, 0x2E, 0xE4, 0x16, 0xDC, 0x2A, 0x19, 0xC5,
    0x72, 0x4F, 0xA9, 0x1A, 0xE4, 0xAD, 0xC8, 0x8B, 0xC6, 0x67, 0x96, 0xEA,
    0xE5, 0x67, 0x7A, 0x01, 0xF6, 0x4E, 0x8C, 0x08, 0x63, 0x13, 0x95, 0x82,
    0x2D, 0x9D, 0xB8, 0xFC, 0xEE, 0x35, 0xC0, 0x6B, 0x1F, 0xEE, 0xA5, 0x47,
    0x4D, 0x6D, 0x8F, 0x34, 0xB1, 0x53, 0x4A, 0x93, 0x6A, 0x18, 0xB0, 0xE0,
    0xD2, 0x0E, 0xAB, 0x86, 0xBC, 0x9C, 0x6D, 0x6A, 0x52, 0x07, 0x19, 0x4E,
    0x68, 0x72, 0x07, 0x32, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];

/// RFC 7719 Appendix A.1 ffdhe8192 prime
/// p = 2^8192 - 2^8128 + {[2^8062 * e] + 10965728} * 2^64 - 1
static FFDHE8192_P: [u8; 1024] = [
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
    0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
    0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
    0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
    0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
    0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
    0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
    0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
    0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
    0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
    0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
    0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
    0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
    0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
    0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
    0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
    0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
    0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
    0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
    0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
    0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
    0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
    0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
    0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
    0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
    0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
    0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
    0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
    0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
    0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
    0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
    0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB,
    0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42,
    0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04,
    0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86,
    0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32,
    0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9,
    0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A,
    0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9,
    0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF,
    0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51,
    0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02,
    0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C,
    0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6,
    0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64,
    0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A,
    0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E,
    0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77,
    0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E,
    0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3,
    0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C,
    0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4,
    0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E,
    0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6,
    0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58,
    0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C,
    0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31,
    0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A,
    0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5,
    0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04,
    0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E,
    0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1,
    0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C,
    0xCF, 0xF4, 0x6A, 0xAA, 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38,
    0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, 0xFD, 0xB2, 0x3F, 0xCE,
    0xC9, 0x50, 0x9D, 0x43, 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E,
    0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, 0x86, 0xB6, 0x31, 0x42,
    0xA3, 0xAB, 0x88, 0x29, 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65,
    0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, 0x29, 0x38, 0x88, 0x39,
    0xD2, 0xAF, 0x05, 0xE4, 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82,
    0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, 0x59, 0x16, 0x0C, 0xC0,
    0x46, 0xFD, 0x82, 0x51, 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22,
    0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, 0x51, 0xA8, 0xA9, 0x31,
    0x09, 0x70, 0x3F, 0xEE, 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C,
    0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, 0x99, 0xE9, 0xE3, 0x16,
    0x50, 0xC1, 0x21, 0x7B, 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9,
    0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, 0xA1, 0xFE, 0x30, 0x75,
    0xA5, 0x77, 0xE2, 0x31, 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57,
    0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, 0xB6, 0x85, 0x5D, 0xFE,
    0x72, 0xB0, 0xA6, 0x6E, 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30,
    0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, 0x2F, 0x74, 0x1E, 0xF8,
    0xC1, 0xFE, 0x86, 0xFE, 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D,
    0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, 0x08, 0x22, 0xE5, 0x06,
    0xA9, 0xF4, 0x61, 0x4E, 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C,
    0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF,
];
/// q = (p-1)/2
static FFDHE8192_Q: [u8; 1024] = [
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xD6, 0xFC, 0x2A, 0x2C,
    0x51, 0x5D, 0xA5, 0x4D, 0x57, 0xEE, 0x2B, 0x10, 0x13, 0x9E, 0x9E, 0x78,
    0xEC, 0x5C, 0xE2, 0xC1, 0xE7, 0x16, 0x9B, 0x4A, 0xD4, 0xF0, 0x9B, 0x20,
    0x8A, 0x32, 0x19, 0xFD, 0xE6, 0x49, 0xCE, 0xE7, 0x12, 0x4D, 0x9F, 0x7C,
    0xBE, 0x97, 0xF1, 0xB1, 0xB1, 0x86, 0x3A, 0xEC, 0x7B, 0x40, 0xD9, 0x01,
    0x57, 0x62, 0x30, 0xBD, 0x69, 0xEF, 0x8F, 0x6A, 0xEA, 0xFE, 0xB2, 0xB0,
    0x92, 0x19, 0xFA, 0x8F, 0xAF, 0x83, 0x37, 0x68, 0x42, 0xB1, 0xB2, 0xAA,
    0x9E, 0xF6, 0x8D, 0x79, 0xDA, 0xAB, 0x89, 0xAF, 0x3F, 0xAB, 0xE4, 0x9A,
    0xCC, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xBB, 0xF1, 0x53, 0x44, 0xED,
    0x79, 0xF7, 0xF4, 0x39, 0x0E, 0xF8, 0xAC, 0x50, 0x9B, 0x56, 0xF3, 0x9A,
    0x98, 0x56, 0x65, 0x27, 0xA4, 0x1D, 0x3C, 0xBD, 0x5E, 0x05, 0x58, 0xC1,
    0x59, 0x92, 0x7D, 0xB0, 0xE8, 0x84, 0x54, 0xA5, 0xD9, 0x64, 0x71, 0xFD,
    0xDC, 0xB5, 0x6D, 0x5B, 0xB0, 0x6B, 0xFA, 0x34, 0x0E, 0xA7, 0xA1, 0x51,
    0xEF, 0x1C, 0xA6, 0xFA, 0x57, 0x2B, 0x76, 0xF3, 0xB1, 0xB9, 0x5D, 0x8C,
    0x85, 0x83, 0xD3, 0xE4, 0x77, 0x05, 0x36, 0xB8, 0x4F, 0x01, 0x7E, 0x70,
    0xE6, 0xFB, 0xF1, 0x76, 0x60, 0x1A, 0x02, 0x66, 0x94, 0x1A, 0x17, 0xB0,
    0xC8, 0xB9, 0x7F, 0x4E, 0x74, 0xC2, 0xC1, 0xFF, 0xC7, 0x27, 0x89, 0x19,
    0x77, 0x79, 0x40, 0xC1, 0xE1, 0xFF, 0x1D, 0x8D, 0xA6, 0x37, 0xD6, 0xB9,
    0x9D, 0xDA, 0xFE, 0x5E, 0x17, 0x61, 0x10, 0x02, 0xE2, 0xC7, 0x78, 0xC1,
    0xBE, 0x8B, 0x41, 0xD9, 0x63, 0x79, 0xA5, 0x13, 0x60, 0xD9, 0x77, 0xFD,
    0x44, 0x35, 0xA1, 0x1C, 0x30, 0x8F, 0xE7, 0xEE, 0x6F, 0x1A, 0xAD, 0x9D,
    0xB2, 0x8C, 0x81, 0xAD, 0xDE, 0x1A, 0x7A, 0x6F, 0x7C, 0xCE, 0x01, 0x1C,
    0x30, 0xDA, 0x37, 0xE4, 0xEB, 0x73, 0x64, 0x83, 0xBD, 0x6C, 0x8E, 0x93,
    0x48, 0xFB, 0xFB, 0xF7, 0x2C, 0xC6, 0x58, 0x7D, 0x60, 0xC3, 0x6C, 0x8E,
    0x57, 0x7F, 0x09, 0x84, 0xC2, 0x89, 0xC9, 0x38, 0x5A, 0x09, 0x86, 0x49,
    0xDE, 0x21, 0xBC, 0xA2, 0x7A, 0x7E, 0xA2, 0x29, 0x71, 0x6B, 0xA6, 0xE9,
    0xB2, 0x79, 0x71, 0x0F, 0x38, 0xFA, 0xA5, 0xFF, 0xAE, 0x57, 0x41, 0x55,
    0xCE, 0x4E, 0xFB, 0x4F, 0x74, 0x36, 0x95, 0xE2, 0x91, 0x1B, 0x1D, 0x06,
    0xD5, 0xE2, 0x90, 0xCB, 0xCD, 0x86, 0xF5, 0x6D, 0x0E, 0xDF, 0xCD, 0x21,
    0x6A, 0xE2, 0x24, 0x27, 0x05, 0x5E, 0x68, 0x35, 0xFD, 0x29, 0xEE, 0xF7,
    0x9E, 0x0D, 0x90, 0x77, 0x1F, 0xEA, 0xCE, 0xBE, 0x12, 0xF2, 0x0E, 0x95,
    0xB3, 0x4F, 0x0F, 0x78, 0xB7, 0x37, 0xA9, 0x61, 0x8B, 0x26, 0xFA, 0x7D,
    0xBC, 0x98, 0x74, 0xF2, 0x72, 0xC4, 0x2B, 0xDB, 0x56, 0x3E, 0xAF, 0xA1,
    0x6B, 0x4F, 0xB6, 0x8C, 0x3B, 0xB1, 0xE7, 0x8E, 0xAA, 0x81, 0xA0, 0x02,
    0x43, 0xFA, 0xAD, 0xD2, 0xBF, 0x18, 0xE6, 0x3D, 0x38, 0x9A, 0xE4, 0x43,
    0x77, 0xDA, 0x18, 0xC5, 0x76, 0xB5, 0x0F, 0x00, 0x96, 0xCF, 0x34, 0x19,
    0x54, 0x83, 0xB0, 0x05, 0x48, 0xC0, 0x98, 0x62, 0x36, 0xE3, 0xBC, 0x7C,
    0xB8, 0xD6, 0x80, 0x1C, 0x04, 0x94, 0xCC, 0xD1, 0x99, 0xE5, 0xC5, 0xBD,
    0x0D, 0x0E, 0xDC, 0x9E, 0xB8, 0xA0, 0x00, 0x1E, 0x15, 0x27, 0x67, 0x54,
    0xFC, 0xC6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xE6, 0xE7, 0x64, 0xBE, 0xE7,
    0xC7, 0x64, 0xDA, 0xAD, 0x3F, 0xC4, 0x52, 0x35, 0xA6, 0xDA, 0xD4, 0x28,
    0xFA, 0x20, 0xC1, 0x70, 0xE3, 0x45, 0x00, 0x3F, 0x2F, 0x06, 0xEC, 0x81,
    0x05, 0xFE, 0xB2, 0x5B, 0x22, 0x81, 0xB6, 0x3D, 0x27, 0x33, 0xBE, 0x96,
    0x1C, 0x29, 0x95, 0x1D, 0x11, 0xDD, 0x22, 0x21, 0x65, 0x7A, 0x9F, 0x53,
    0x1D, 0xDA, 0x2A, 0x19, 0x4D, 0xBB, 0x12, 0x64, 0x48, 0xBD, 0xEE, 0xB2,
    0x58, 0xE0, 0x7E, 0xA6, 0x59, 0xC7, 0x46, 0x19, 0xA6, 0x38, 0x0E, 0x1D,
    0x66, 0xD6, 0x83, 0x2B, 0xFE, 0x67, 0xF6, 0x38, 0xCD, 0x8F, 0xAE, 0x1F,
    0x27, 0x23, 0x02, 0x0F, 0x9C, 0x40, 0xA3, 0xFD, 0xA6, 0x7E, 0xDA, 0x3B,
    0xD2, 0x92, 0x38, 0xFB, 0xD4, 0xD4, 0xB4, 0x88, 0x5C, 0x2A, 0x99, 0x17,
    0x6D, 0xB1, 0xA0, 0x6C, 0x50, 0x07, 0x78, 0x49, 0x1A, 0x82, 0x88, 0xF1,
    0x85, 0x5F, 0x60, 0xFF, 0xFC, 0xF1, 0xD1, 0x37, 0x3F, 0xD9, 0x4F, 0xC6,
    0x0C, 0x18, 0x11, 0xE1, 0xAC, 0x3F, 0x1C, 0x6D, 0x00, 0x3B, 0xEC, 0xDA,
    0x3B, 0x1F, 0x27, 0x25, 0xCA, 0x59, 0x5D, 0xE0, 0xCA, 0x63, 0x32, 0x8F,
    0x3B, 0xE5, 0x7C, 0xC9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0D, 0xFB,
    0x59, 0xD3, 0x9C, 0xE0, 0x91, 0x30, 0x8B, 0x41, 0x05, 0x74, 0x6D, 0xAC,
    0x23, 0xD3, 0x3E, 0x5F, 0x7C, 0xE4, 0x84, 0x8D, 0xA3, 0x16, 0xA9, 0xC6,
    0x6B, 0x95, 0x81, 0xBA, 0x35, 0x73, 0xBF, 0xAF, 0x31, 0x14, 0x96, 0x18,
    0x8A, 0xB1, 0x54, 0x23, 0x28, 0x2E, 0xE4, 0x16, 0xDC, 0x2A, 0x19, 0xC5,
    0x72, 0x4F, 0xA9, 0x1A, 0xE4, 0xAD, 0xC8, 0x8B, 0xC6, 0x67, 0x96, 0xEA,
    0xE5, 0x67, 0x7A, 0x01, 0xF6, 0x4E, 0x8C, 0x08, 0x63, 0x13, 0x95, 0x82,
    0x2D, 0x9D, 0xB8, 0xFC, 0xEE, 0x35, 0xC0, 0x6B, 0x1F, 0xEE, 0xA5, 0x47,
    0x4D, 0x6D, 0x8F, 0x34, 0xB1, 0x53, 0x4A, 0x93, 0x6A, 0x18, 0xB0, 0xE0,
    0xD2, 0x0E, 0xAB, 0x86, 0xBC, 0x9C, 0x6D, 0x6A, 0x52, 0x07, 0x19, 0x4E,
    0x67, 0xFA, 0x35, 0x55, 0x1B, 0x56, 0x80, 0x26, 0x7B, 0x00, 0x64, 0x1C,
    0x0F, 0x21, 0x2D, 0x18, 0xEC, 0xA8, 0xD7, 0x32, 0x7E, 0xD9, 0x1F, 0xE7,
    0x64, 0xA8, 0x4E, 0xA1, 0xB4, 0x3F, 0xF5, 0xB4, 0xF6, 0xE8, 0xE6, 0x2F,
    0x05, 0xC6, 0x61, 0xDE, 0xFB, 0x25, 0x88, 0x77, 0xC3, 0x5B, 0x18, 0xA1,
    0x51, 0xD5, 0xC4, 0x14, 0xAA, 0xAD, 0x97, 0xBA, 0x3E, 0x49, 0x93, 0x32,
    0xE5, 0x96, 0x07, 0x8E, 0x60, 0x0D, 0xEB, 0x81, 0x14, 0x9C, 0x44, 0x1C,
    0xE9, 0x57, 0x82, 0xF2, 0x2A, 0x28, 0x25, 0x63, 0xC5, 0xBA, 0xC1, 0x41,
    0x14, 0x23, 0x60, 0x5D, 0x1A, 0xE1, 0xAF, 0xAE, 0x2C, 0x8B, 0x06, 0x60,
    0x23, 0x7E, 0xC1, 0x28, 0xAA, 0x0F, 0xE3, 0x46, 0x4E, 0x43, 0x58, 0x11,
    0x5D, 0xB8, 0x4C, 0xC3, 0xB5, 0x23, 0x07, 0x3A, 0x28, 0xD4, 0x54, 0x98,
    0x84, 0xB8, 0x1F, 0xF7, 0x0E, 0x10, 0xBF, 0x36, 0x1C, 0x13, 0x72, 0x96,
    0x28, 0xD5, 0x34, 0x8F, 0x07, 0x21, 0x1E, 0x7E, 0x4C, 0xF4, 0xF1, 0x8B,
    0x28, 0x60, 0x90, 0xBD, 0xB1, 0x24, 0x0B, 0x66, 0xD6, 0xCD, 0x4A, 0xFC,
    0xEA, 0xDC, 0x00, 0xCA, 0x44, 0x6C, 0xE0, 0x50, 0x50, 0xFF, 0x18, 0x3A,
    0xD2, 0xBB, 0xF1, 0x18, 0xC1, 0xFC, 0x0E, 0xA5, 0x1F, 0x97, 0xD2, 0x2B,
    0x8F, 0x7E, 0x46, 0x70, 0x5D, 0x45, 0x27, 0xF4, 0x5B, 0x42, 0xAE, 0xFF,
    0x39, 0x58, 0x53, 0x37, 0x6F, 0x69, 0x7D, 0xD5, 0xFD, 0xF2, 0xC5, 0x18,
    0x7D, 0x7D, 0x5F, 0x0E, 0x2E, 0xB8, 0xD4, 0x3F, 0x17, 0xBA, 0x0F, 0x7C,
    0x60, 0xFF, 0x43, 0x7F, 0x53, 0x5D, 0xFE, 0xF2, 0x98, 0x33, 0xBF, 0x86,
    0xCB, 0xE8, 0x8E, 0xA4, 0xFB, 0xD4, 0x22, 0x1E, 0x84, 0x11, 0x72, 0x83,
    0x54, 0xFA, 0x30, 0xA7, 0x00, 0x8F, 0x15, 0x4A, 0x41, 0xC7, 0xFC, 0x46,
    0x6B, 0x46, 0x45, 0xDB, 0xE2, 0xE3, 0x21, 0x26, 0x7F, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF,
];

/// RFC 3526 - 3: 2048-bit MODP Group
/// p = 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }
static MODP2048_P: [u8; 256] = [
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
    0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
    0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
    0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
    0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
    0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
    0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
    0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
    0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
    0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
    0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
    0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
    0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
    0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
    0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
    0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
    0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
    0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
    0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
    0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
    0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF,
];
/// q = (p-1)/2
pub static MODP2048_Q: [u8; 256] = [
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xE4, 0x87, 0xED, 0x51,
    0x10, 0xB4, 0x61, 0x1A, 0x62, 0x63, 0x31, 0x45, 0xC0, 0x6E, 0x0E, 0x68,
    0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xE6, 0x3A, 0x01, 0x05, 0xDF, 0x53,
    0x1D, 0x89, 0xCD, 0x91, 0x28, 0xA5, 0x04, 0x3C, 0xC7, 0x1A, 0x02, 0x6E,
    0xF7, 0xCA, 0x8C, 0xD9, 0xE6, 0x9D, 0x21, 0x8D, 0x98, 0x15, 0x85, 0x36,
    0xF9, 0x2F, 0x8A, 0x1B, 0xA7, 0xF0, 0x9A, 0xB6, 0xB6, 0xA8, 0xE1, 0x22,
    0xF2, 0x42, 0xDA, 0xBB, 0x31, 0x2F, 0x3F, 0x63, 0x7A, 0x26, 0x21, 0x74,
    0xD3, 0x1B, 0xF6, 0xB5, 0x85, 0xFF, 0xAE, 0x5B, 0x7A, 0x03, 0x5B, 0xF6,
    0xF7, 0x1C, 0x35, 0xFD, 0xAD, 0x44, 0xCF, 0xD2, 0xD7, 0x4F, 0x92, 0x08,
    0xBE, 0x25, 0x8F, 0xF3, 0x24, 0x94, 0x33, 0x28, 0xF6, 0x72, 0x2D, 0x9E,
    0xE1, 0x00, 0x3E, 0x5C, 0x50, 0xB1, 0xDF, 0x82, 0xCC, 0x6D, 0x24, 0x1B,
    0x0E, 0x2A, 0xE9, 0xCD, 0x34, 0x8B, 0x1F, 0xD4, 0x7E, 0x92, 0x67, 0xAF,
    0xC1, 0xB2, 0xAE, 0x91, 0xEE, 0x51, 0xD6, 0xCB, 0x0E, 0x31, 0x79, 0xAB,
    0x10, 0x42, 0xA9, 0x5D, 0xCF, 0x6A, 0x94, 0x83, 0xB8, 0x4B, 0x4B, 0x36,
    0xB3, 0x86, 0x1A, 0xA7, 0x25, 0x5E, 0x4C, 0x02, 0x78, 0xBA, 0x36, 0x04,
    0x65, 0x0C, 0x10, 0xBE, 0x19, 0x48, 0x2F, 0x23, 0x17, 0x1B, 0x67, 0x1D,
    0xF1, 0xCF, 0x3B, 0x96, 0x0C, 0x07, 0x43, 0x01, 0xCD, 0x93, 0xC1, 0xD1,
    0x76, 0x03, 0xD1, 0x47, 0xDA, 0xE2, 0xAE, 0xF8, 0x37, 0xA6, 0x29, 0x64,
    0xEF, 0x15, 0xE5, 0xFB, 0x4A, 0xAC, 0x0B, 0x8C, 0x1C, 0xCA, 0xA4, 0xBE,
    0x75, 0x4A, 0xB5, 0x72, 0x8A, 0xE9, 0x13, 0x0C, 0x4C, 0x7D, 0x02, 0x88,
    0x0A, 0xB9, 0x47, 0x2D, 0x45, 0x56, 0x55, 0x34, 0x7F, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF,
];

/// RFC 3526 - 4: 3072-bit MODP Group
/// p = 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 }
static MODP3072_P: [u8; 384] = [
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
    0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
    0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
    0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
    0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
    0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
    0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
    0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
    0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
    0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
    0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
    0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
    0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
    0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
    0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
    0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
    0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
    0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
    0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
    0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
    0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
    0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
    0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
    0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
    0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
    0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
    0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
    0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
    0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
    0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
    0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
    0xA9, 0x3A, 0xD2, 0xCA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];
/// q = (p-1)/2
pub static MODP3072_Q: [u8; 384] = [
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xE4, 0x87, 0xED, 0x51,
    0x10, 0xB4, 0x61, 0x1A, 0x62, 0x63, 0x31, 0x45, 0xC0, 0x6E, 0x0E, 0x68,
    0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xE6, 0x3A, 0x01, 0x05, 0xDF, 0x53,
    0x1D, 0x89, 0xCD, 0x91, 0x28, 0xA5, 0x04, 0x3C, 0xC7, 0x1A, 0x02, 0x6E,
    0xF7, 0xCA, 0x8C, 0xD9, 0xE6, 0x9D, 0x21, 0x8D, 0x98, 0x15, 0x85, 0x36,
    0xF9, 0x2F, 0x8A, 0x1B, 0xA7, 0xF0, 0x9A, 0xB6, 0xB6, 0xA8, 0xE1, 0x22,
    0xF2, 0x42, 0xDA, 0xBB, 0x31, 0x2F, 0x3F, 0x63, 0x7A, 0x26, 0x21, 0x74,
    0xD3, 0x1B, 0xF6, 0xB5, 0x85, 0xFF, 0xAE, 0x5B, 0x7A, 0x03, 0x5B, 0xF6,
    0xF7, 0x1C, 0x35, 0xFD, 0xAD, 0x44, 0xCF, 0xD2, 0xD7, 0x4F, 0x92, 0x08,
    0xBE, 0x25, 0x8F, 0xF3, 0x24, 0x94, 0x33, 0x28, 0xF6, 0x72, 0x2D, 0x9E,
    0xE1, 0x00, 0x3E, 0x5C, 0x50, 0xB1, 0xDF, 0x82, 0xCC, 0x6D, 0x24, 0x1B,
    0x0E, 0x2A, 0xE9, 0xCD, 0x34, 0x8B, 0x1F, 0xD4, 0x7E, 0x92, 0x67, 0xAF,
    0xC1, 0xB2, 0xAE, 0x91, 0xEE, 0x51, 0xD6, 0xCB, 0x0E, 0x31, 0x79, 0xAB,
    0x10, 0x42, 0xA9, 0x5D, 0xCF, 0x6A, 0x94, 0x83, 0xB8, 0x4B, 0x4B, 0x36,
    0xB3, 0x86, 0x1A, 0xA7, 0x25, 0x5E, 0x4C, 0x02, 0x78, 0xBA, 0x36, 0x04,
    0x65, 0x0C, 0x10, 0xBE, 0x19, 0x48, 0x2F, 0x23, 0x17, 0x1B, 0x67, 0x1D,
    0xF1, 0xCF, 0x3B, 0x96, 0x0C, 0x07, 0x43, 0x01, 0xCD, 0x93, 0xC1, 0xD1,
    0x76, 0x03, 0xD1, 0x47, 0xDA, 0xE2, 0xAE, 0xF8, 0x37, 0xA6, 0x29, 0x64,
    0xEF, 0x15, 0xE5, 0xFB, 0x4A, 0xAC, 0x0B, 0x8C, 0x1C, 0xCA, 0xA4, 0xBE,
    0x75, 0x4A, 0xB5, 0x72, 0x8A, 0xE9, 0x13, 0x0C, 0x4C, 0x7D, 0x02, 0x88,
    0x0A, 0xB9, 0x47, 0x2D, 0x45, 0x55, 0x62, 0x16, 0xD6, 0x99, 0x8B, 0x86,
    0x82, 0x28, 0x3D, 0x19, 0xD4, 0x2A, 0x90, 0xD5, 0xEF, 0x8E, 0x5D, 0x32,
    0x76, 0x7D, 0xC2, 0x82, 0x2C, 0x6D, 0xF7, 0x85, 0x45, 0x75, 0x38, 0xAB,
    0xAE, 0x83, 0x06, 0x3E, 0xD9, 0xCB, 0x87, 0xC2, 0xD3, 0x70, 0xF2, 0x63,
    0xD5, 0xFA, 0xD7, 0x46, 0x6D, 0x84, 0x99, 0xEB, 0x8F, 0x46, 0x4A, 0x70,
    0x25, 0x12, 0xB0, 0xCE, 0xE7, 0x71, 0xE9, 0x13, 0x0D, 0x69, 0x77, 0x35,
    0xF8, 0x97, 0xFD, 0x03, 0x6C, 0xC5, 0x04, 0x32, 0x6C, 0x3B, 0x01, 0x39,
    0x9F, 0x64, 0x35, 0x32, 0x29, 0x0F, 0x95, 0x8C, 0x0B, 0xBD, 0x90, 0x06,
    0x5D, 0xF0, 0x8B, 0xAB, 0xBD, 0x30, 0xAE, 0xB6, 0x3B, 0x84, 0xC4, 0x60,
    0x5D, 0x6C, 0xA3, 0x71, 0x04, 0x71, 0x27, 0xD0, 0x3A, 0x72, 0xD5, 0x98,
    0xA1, 0xED, 0xAD, 0xFE, 0x70, 0x7E, 0x88, 0x47, 0x25, 0xC1, 0x68, 0x90,
    0x54, 0x9D, 0x69, 0x65, 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];

/// RFC 3526 - 5: 4096-bit MODP Group
/// p = 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 }
static MODP4096_P: [u8; 512] = [
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
    0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
    0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
    0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
    0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
    0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
    0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
    0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
    0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
    0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
    0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
    0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
    0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
    0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
    0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
    0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
    0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
    0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
    0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
    0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
    0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
    0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
    0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
    0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
    0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
    0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
    0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
    0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
    0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
    0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
    0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
    0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
    0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18,
    0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
    0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB,
    0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
    0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F,
    0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
    0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76,
    0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
    0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC,
    0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];
/// q = (p-1)/2
pub static MODP4096_Q: [u8; 512] = [
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xE4, 0x87, 0xED, 0x51,
    0x10, 0xB4, 0x61, 0x1A, 0x62, 0x63, 0x31, 0x45, 0xC0, 0x6E, 0x0E, 0x68,
    0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xE6, 0x3A, 0x01, 0x05, 0xDF, 0x53,
    0x1D, 0x89, 0xCD, 0x91, 0x28, 0xA5, 0x04, 0x3C, 0xC7, 0x1A, 0x02, 0x6E,
    0xF7, 0xCA, 0x8C, 0xD9, 0xE6, 0x9D, 0x21, 0x8D, 0x98, 0x15, 0x85, 0x36,
    0xF9, 0x2F, 0x8A, 0x1B, 0xA7, 0xF0, 0x9A, 0xB6, 0xB6, 0xA8, 0xE1, 0x22,
    0xF2, 0x42, 0xDA, 0xBB, 0x31, 0x2F, 0x3F, 0x63, 0x7A, 0x26, 0x21, 0x74,
    0xD3, 0x1B, 0xF6, 0xB5, 0x85, 0xFF, 0xAE, 0x5B, 0x7A, 0x03, 0x5B, 0xF6,
    0xF7, 0x1C, 0x35, 0xFD, 0xAD, 0x44, 0xCF, 0xD2, 0xD7, 0x4F, 0x92, 0x08,
    0xBE, 0x25, 0x8F, 0xF3, 0x24, 0x94, 0x33, 0x28, 0xF6, 0x72, 0x2D, 0x9E,
    0xE1, 0x00, 0x3E, 0x5C, 0x50, 0xB1, 0xDF, 0x82, 0xCC, 0x6D, 0x24, 0x1B,
    0x0E, 0x2A, 0xE9, 0xCD, 0x34, 0x8B, 0x1F, 0xD4, 0x7E, 0x92, 0x67, 0xAF,
    0xC1, 0xB2, 0xAE, 0x91, 0xEE, 0x51, 0xD6, 0xCB, 0x0E, 0x31, 0x79, 0xAB,
    0x10, 0x42, 0xA9, 0x5D, 0xCF, 0x6A, 0x94, 0x83, 0xB8, 0x4B, 0x4B, 0x36,
    0xB3, 0x86, 0x1A, 0xA7, 0x25, 0x5E, 0x4C, 0x02, 0x78, 0xBA, 0x36, 0x04,
    0x65, 0x0C, 0x10, 0xBE, 0x19, 0x48, 0x2F, 0x23, 0x17, 0x1B, 0x67, 0x1D,
    0xF1, 0xCF, 0x3B, 0x96, 0x0C, 0x07, 0x43, 0x01, 0xCD, 0x93, 0xC1, 0xD1,
    0x76, 0x03, 0xD1, 0x47, 0xDA, 0xE2, 0xAE, 0xF8, 0x37, 0xA6, 0x29, 0x64,
    0xEF, 0x15, 0xE5, 0xFB, 0x4A, 0xAC, 0x0B, 0x8C, 0x1C, 0xCA, 0xA4, 0xBE,
    0x75, 0x4A, 0xB5, 0x72, 0x8A, 0xE9, 0x13, 0x0C, 0x4C, 0x7D, 0x02, 0x88,
    0x0A, 0xB9, 0x47, 0x2D, 0x45, 0x55, 0x62, 0x16, 0xD6, 0x99, 0x8B, 0x86,
    0x82, 0x28, 0x3D, 0x19, 0xD4, 0x2A, 0x90, 0xD5, 0xEF, 0x8E, 0x5D, 0x32,
    0x76, 0x7D, 0xC2, 0x82, 0x2C, 0x6D, 0xF7, 0x85, 0x45, 0x75, 0x38, 0xAB,
    0xAE, 0x83, 0x06, 0x3E, 0xD9, 0xCB, 0x87, 0xC2, 0xD3, 0x70, 0xF2, 0x63,
    0xD5, 0xFA, 0xD7, 0x46, 0x6D, 0x84, 0x99, 0xEB, 0x8F, 0x46, 0x4A, 0x70,
    0x25, 0x12, 0xB0, 0xCE, 0xE7, 0x71, 0xE9, 0x13, 0x0D, 0x69, 0x77, 0x35,
    0xF8, 0x97, 0xFD, 0x03, 0x6C, 0xC5, 0x04, 0x32, 0x6C, 0x3B, 0x01, 0x39,
    0x9F, 0x64, 0x35, 0x32, 0x29, 0x0F, 0x95, 0x8C, 0x0B, 0xBD, 0x90, 0x06,
    0x5D, 0xF0, 0x8B, 0xAB, 0xBD, 0x30, 0xAE, 0xB6, 0x3B, 0x84, 0xC4, 0x60,
    0x5D, 0x6C, 0xA3, 0x71, 0x04, 0x71, 0x27, 0xD0, 0x3A, 0x72, 0xD5, 0x98,
    0xA1, 0xED, 0xAD, 0xFE, 0x70, 0x7E, 0x88, 0x47, 0x25, 0xC1, 0x68, 0x90,
    0x54, 0x90, 0x84, 0x00, 0x8D, 0x39, 0x1E, 0x09, 0x53, 0xC3, 0xF3, 0x6B,
    0xC4, 0x38, 0xCD, 0x08, 0x5E, 0xDD, 0x2D, 0x93, 0x4C, 0xE1, 0x93, 0x8C,
    0x35, 0x7A, 0x71, 0x1E, 0x0D, 0x4A, 0x34, 0x1A, 0x5B, 0x0A, 0x85, 0xED,
    0x12, 0xC1, 0xF4, 0xE5, 0x15, 0x6A, 0x26, 0x74, 0x6D, 0xDD, 0xE1, 0x6D,
    0x82, 0x6F, 0x47, 0x7C, 0x97, 0x47, 0x7E, 0x0A, 0x0F, 0xDF, 0x65, 0x53,
    0x14, 0x3E, 0x2C, 0xA3, 0xA7, 0x35, 0xE0, 0x2E, 0xCC, 0xD9, 0x4B, 0x27,
    0xD0, 0x48, 0x61, 0xD1, 0x11, 0x9D, 0xD0, 0xC3, 0x28, 0xAD, 0xF3, 0xF6,
    0x8F, 0xB0, 0x94, 0xB8, 0x67, 0x71, 0x6B, 0xD7, 0xDC, 0x0D, 0xEE, 0xBB,
    0x10, 0xB8, 0x24, 0x0E, 0x68, 0x03, 0x48, 0x93, 0xEA, 0xD8, 0x2D, 0x54,
    0xC9, 0xDA, 0x75, 0x4C, 0x46, 0xC7, 0xEE, 0xE0, 0xC3, 0x7F, 0xDB, 0xEE,
    0x48, 0x53, 0x60, 0x47, 0xA6, 0xFA, 0x1A, 0xE4, 0x9A, 0x03, 0x18, 0xCC,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];

/// RFC 3526 - 6: 6144-bit MODP Group
/// p = 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 }
static MODP6144_P: [u8; 768] = [
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
    0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
    0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
    0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
    0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
    0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
    0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
    0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
    0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
    0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
    0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
    0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
    0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
    0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
    0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
    0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
    0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
    0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
    0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
    0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
    0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
    0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
    0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
    0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
    0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
    0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
    0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
    0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
    0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
    0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
    0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
    0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
    0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18,
    0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
    0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB,
    0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
    0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F,
    0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
    0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76,
    0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
    0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC,
    0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
    0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2,
    0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
    0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F,
    0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
    0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB,
    0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
    0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51,
    0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
    0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15,
    0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
    0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31,
    0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
    0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7,
    0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
    0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2,
    0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
    0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D,
    0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
    0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7,
    0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
    0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E,
    0x6D, 0xCC, 0x40, 0x24, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];
/// q = (p-1)/2
pub static MODP6144_Q: [u8; 768] = [
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xE4, 0x87, 0xED, 0x51,
    0x10, 0xB4, 0x61, 0x1A, 0x62, 0x63, 0x31, 0x45, 0xC0, 0x6E, 0x0E, 0x68,
    0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xE6, 0x3A, 0x01, 0x05, 0xDF, 0x53,
    0x1D, 0x89, 0xCD, 0x91, 0x28, 0xA5, 0x04, 0x3C, 0xC7, 0x1A, 0x02, 0x6E,
    0xF7, 0xCA, 0x8C, 0xD9, 0xE6, 0x9D, 0x21, 0x8D, 0x98, 0x15, 0x85, 0x36,
    0xF9, 0x2F, 0x8A, 0x1B, 0xA7, 0xF0, 0x9A, 0xB6, 0xB6, 0xA8, 0xE1, 0x22,
    0xF2, 0x42, 0xDA, 0xBB, 0x31, 0x2F, 0x3F, 0x63, 0x7A, 0x26, 0x21, 0x74,
    0xD3, 0x1B, 0xF6, 0xB5, 0x85, 0xFF, 0xAE, 0x5B, 0x7A, 0x03, 0x5B, 0xF6,
    0xF7, 0x1C, 0x35, 0xFD, 0xAD, 0x44, 0xCF, 0xD2, 0xD7, 0x4F, 0x92, 0x08,
    0xBE, 0x25, 0x8F, 0xF3, 0x24, 0x94, 0x33, 0x28, 0xF6, 0x72, 0x2D, 0x9E,
    0xE1, 0x00, 0x3E, 0x5C, 0x50, 0xB1, 0xDF, 0x82, 0xCC, 0x6D, 0x24, 0x1B,
    0x0E, 0x2A, 0xE9, 0xCD, 0x34, 0x8B, 0x1F, 0xD4, 0x7E, 0x92, 0x67, 0xAF,
    0xC1, 0xB2, 0xAE, 0x91, 0xEE, 0x51, 0xD6, 0xCB, 0x0E, 0x31, 0x79, 0xAB,
    0x10, 0x42, 0xA9, 0x5D, 0xCF, 0x6A, 0x94, 0x83, 0xB8, 0x4B, 0x4B, 0x36,
    0xB3, 0x86, 0x1A, 0xA7, 0x25, 0x5E, 0x4C, 0x02, 0x78, 0xBA, 0x36, 0x04,
    0x65, 0x0C, 0x10, 0xBE, 0x19, 0x48, 0x2F, 0x23, 0x17, 0x1B, 0x67, 0x1D,
    0xF1, 0xCF, 0x3B, 0x96, 0x0C, 0x07, 0x43, 0x01, 0xCD, 0x93, 0xC1, 0xD1,
    0x76, 0x03, 0xD1, 0x47, 0xDA, 0xE2, 0xAE, 0xF8, 0x37, 0xA6, 0x29, 0x64,
    0xEF, 0x15, 0xE5, 0xFB, 0x4A, 0xAC, 0x0B, 0x8C, 0x1C, 0xCA, 0xA4, 0xBE,
    0x75, 0x4A, 0xB5, 0x72, 0x8A, 0xE9, 0x13, 0x0C, 0x4C, 0x7D, 0x02, 0x88,
    0x0A, 0xB9, 0x47, 0x2D, 0x45, 0x55, 0x62, 0x16, 0xD6, 0x99, 0x8B, 0x86,
    0x82, 0x28, 0x3D, 0x19, 0xD4, 0x2A, 0x90, 0xD5, 0xEF, 0x8E, 0x5D, 0x32,
    0x76, 0x7D, 0xC2, 0x82, 0x2C, 0x6D, 0xF7, 0x85, 0x45, 0x75, 0x38, 0xAB,
    0xAE, 0x83, 0x06, 0x3E, 0xD9, 0xCB, 0x87, 0xC2, 0xD3, 0x70, 0xF2, 0x63,
    0xD5, 0xFA, 0xD7, 0x46, 0x6D, 0x84, 0x99, 0xEB, 0x8F, 0x46, 0x4A, 0x70,
    0x25, 0x12, 0xB0, 0xCE, 0xE7, 0x71, 0xE9, 0x13, 0x0D, 0x69, 0x77, 0x35,
    0xF8, 0x97, 0xFD, 0x03, 0x6C, 0xC5, 0x04, 0x32, 0x6C, 0x3B, 0x01, 0x39,
    0x9F, 0x64, 0x35, 0x32, 0x29, 0x0F, 0x95, 0x8C, 0x0B, 0xBD, 0x90, 0x06,
    0x5D, 0xF0, 0x8B, 0xAB, 0xBD, 0x30, 0xAE, 0xB6, 0x3B, 0x84, 0xC4, 0x60,
    0x5D, 0x6C, 0xA3, 0x71, 0x04, 0x71, 0x27, 0xD0, 0x3A, 0x72, 0xD5, 0x98,
    0xA1, 0xED, 0xAD, 0xFE, 0x70, 0x7E, 0x88, 0x47, 0x25, 0xC1, 0x68, 0x90,
    0x54, 0x90, 0x84, 0x00, 0x8D, 0x39, 0x1E, 0x09, 0x53, 0xC3, 0xF3, 0x6B,
    0xC4, 0x38, 0xCD, 0x08, 0x5E, 0xDD, 0x2D, 0x93, 0x4C, 0xE1, 0x93, 0x8C,
    0x35, 0x7A, 0x71, 0x1E, 0x0D, 0x4A, 0x34, 0x1A, 0x5B, 0x0A, 0x85, 0xED,
    0x12, 0xC1, 0xF4, 0xE5, 0x15, 0x6A, 0x26, 0x74, 0x6D, 0xDD, 0xE1, 0x6D,
    0x82, 0x6F, 0x47, 0x7C, 0x97, 0x47, 0x7E, 0x0A, 0x0F, 0xDF, 0x65, 0x53,
    0x14, 0x3E, 0x2C, 0xA3, 0xA7, 0x35, 0xE0, 0x2E, 0xCC, 0xD9, 0x4B, 0x27,
    0xD0, 0x48, 0x61, 0xD1, 0x11, 0x9D, 0xD0, 0xC3, 0x28, 0xAD, 0xF3, 0xF6,
    0x8F, 0xB0, 0x94, 0xB8, 0x67, 0x71, 0x6B, 0xD7, 0xDC, 0x0D, 0xEE, 0xBB,
    0x10, 0xB8, 0x24, 0x0E, 0x68, 0x03, 0x48, 0x93, 0xEA, 0xD8, 0x2D, 0x54,
    0xC9, 0xDA, 0x75, 0x4C, 0x46, 0xC7, 0xEE, 0xE0, 0xC3, 0x7F, 0xDB, 0xEE,
    0x48, 0x53, 0x60, 0x47, 0xA6, 0xFA, 0x1A, 0xE4, 0x9A, 0x01, 0x42, 0x49,
    0x1B, 0x61, 0xFD, 0x5A, 0x69, 0x3E, 0x38, 0x13, 0x60, 0xEA, 0x6E, 0x59,
    0x30, 0x13, 0x23, 0x6F, 0x64, 0xBA, 0x8F, 0x3B, 0x1E, 0xDD, 0x1B, 0xDE,
    0xFC, 0x7F, 0xCA, 0x03, 0x56, 0xCF, 0x29, 0x87, 0x72, 0xED, 0x9C, 0x17,
    0xA0, 0x98, 0x00, 0xD7, 0x58, 0x35, 0x29, 0xF6, 0xC8, 0x13, 0xEC, 0x18,
    0x8B, 0xCB, 0x93, 0xD8, 0x43, 0x2D, 0x44, 0x8C, 0x6D, 0x1F, 0x6D, 0xF5,
    0xE7, 0xCD, 0x8A, 0x76, 0xA2, 0x67, 0x36, 0x5D, 0x67, 0x6A, 0x5D, 0x8D,
    0xED, 0xBF, 0x8A, 0x23, 0xF3, 0x66, 0x12, 0xA5, 0x99, 0x90, 0x28, 0xA8,
    0x95, 0xEB, 0xD7, 0xA1, 0x37, 0xDC, 0x7A, 0x00, 0x9B, 0xC6, 0x69, 0x5F,
    0xAC, 0xC1, 0xE5, 0x00, 0xE3, 0x25, 0xC9, 0x76, 0x78, 0x19, 0x75, 0x0A,
    0xE8, 0xB9, 0x0E, 0x81, 0xFA, 0x41, 0x6B, 0xE7, 0x37, 0x3A, 0x7F, 0x7B,
    0x6A, 0xAF, 0x38, 0x17, 0xA3, 0x4C, 0x06, 0x41, 0x5A, 0xD4, 0x20, 0x18,
    0xC8, 0x05, 0x8E, 0x4F, 0x2C, 0xF3, 0xE4, 0xBF, 0xDF, 0x63, 0xF4, 0x79,
    0x91, 0xD4, 0xBD, 0x3F, 0x1B, 0x66, 0x44, 0x5F, 0x07, 0x8E, 0xA2, 0xDB,
    0xFF, 0xAC, 0x2D, 0x62, 0xA5, 0xEA, 0x03, 0xD9, 0x15, 0xA0, 0xAA, 0x55,
    0x66, 0x47, 0xB6, 0xBF, 0x5F, 0xA4, 0x70, 0xEC, 0x0A, 0x66, 0x2F, 0x69,
    0x07, 0xC0, 0x1B, 0xF0, 0x53, 0xCB, 0x8A, 0xF7, 0x79, 0x4D, 0xF1, 0x94,
    0x03, 0x50, 0xEA, 0xC5, 0xDB, 0xE2, 0xED, 0x3B, 0x7A, 0xA8, 0x55, 0x1E,
    0xC5, 0x0F, 0xDF, 0xF8, 0x75, 0x8C, 0xE6, 0x58, 0xD1, 0x89, 0xEA, 0xAE,
    0x6D, 0x2B, 0x64, 0xF6, 0x17, 0x79, 0x4B, 0x19, 0x1C, 0x3F, 0xF4, 0x6B,
    0xB7, 0x1E, 0x02, 0x34, 0x02, 0x1F, 0x47, 0xB3, 0x1F, 0xA4, 0x30, 0x77,
    0x09, 0x5F, 0x96, 0xAD, 0x85, 0xBA, 0x3A, 0x6B, 0x73, 0x4A, 0x7C, 0x8F,
    0x36, 0xE6, 0x20, 0x12, 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
];

/// RFC 3526 - 7: 8192-bit MODP Group
/// p = 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 }
static MODP8192_P: [u8; 1024] = [
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
    0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
    0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
    0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
    0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
    0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
    0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
    0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
    0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
    0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
    0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
    0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
    0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
    0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
    0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
    0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
    0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
    0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
    0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
    0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
    0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
    0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
    0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
    0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
    0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
    0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
    0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
    0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
    0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
    0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
    0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
    0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
    0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18,
    0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
    0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB,
    0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
    0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F,
    0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
    0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76,
    0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
    0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC,
    0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
    0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2,
    0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
    0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F,
    0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
    0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB,
    0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
    0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51,
    0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
    0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15,
    0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
    0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31,
    0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
    0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7,
    0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
    0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2,
    0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
    0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D,
    0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
    0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7,
    0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
    0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E,
    0x6D, 0xBE, 0x11, 0x59, 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4,
    0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C, 0xD8, 0xBE, 0xC4, 0xD0,
    0x73, 0xB9, 0x31, 0xBA, 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00,
    0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED, 0x25, 0x76, 0xF6, 0x93,
    0x6B, 0xA4, 0x24, 0x66, 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68,
    0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78, 0x23, 0x8F, 0x16, 0xCB,
    0xE3, 0x9D, 0x65, 0x2D, 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9,
    0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07, 0x13, 0xEB, 0x57, 0xA8,
    0x1A, 0x23, 0xF0, 0xC7, 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B,
    0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD, 0xFA, 0x9D, 0x4B, 0x7F,
    0xA2, 0xC0, 0x87, 0xE8, 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A,
    0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6, 0x6D, 0x2A, 0x13, 0xF8,
    0x3F, 0x44, 0xF8, 0x2D, 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36,
    0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1, 0x64, 0xF3, 0x1C, 0xC5,
    0x08, 0x46, 0x85, 0x1D, 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1,
    0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73, 0xFA, 0xF3, 0x6B, 0xC3,
    0x1E, 0xCF, 0xA2, 0x68, 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92,
    0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7, 0x88, 0x9A, 0x00, 0x2E,
    0xD5, 0xEE, 0x38, 0x2B, 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47,
    0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA, 0x9E, 0x30, 0x50, 0xE2,
    0x76, 0x56, 0x94, 0xDF, 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71,
    0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF,
];
/// q = (p-1)/2
pub static MODP8192_Q: [u8; 1024] = [
    0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xE4, 0x87, 0xED, 0x51,
    0x10, 0xB4, 0x61, 0x1A, 0x62, 0x63, 0x31, 0x45, 0xC0, 0x6E, 0x0E, 0x68,
    0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xE6, 0x3A, 0x01, 0x05, 0xDF, 0x53,
    0x1D, 0x89, 0xCD, 0x91, 0x28, 0xA5, 0x04, 0x3C, 0xC7, 0x1A, 0x02, 0x6E,
    0xF7, 0xCA, 0x8C, 0xD9, 0xE6, 0x9D, 0x21, 0x8D, 0x98, 0x15, 0x85, 0x36,
    0xF9, 0x2F, 0x8A, 0x1B, 0xA7, 0xF0, 0x9A, 0xB6, 0xB6, 0xA8, 0xE1, 0x22,
    0xF2, 0x42, 0xDA, 0xBB, 0x31, 0x2F, 0x3F, 0x63, 0x7A, 0x26, 0x21, 0x74,
    0xD3, 0x1B, 0xF6, 0xB5, 0x85, 0xFF, 0xAE, 0x5B, 0x7A, 0x03, 0x5B, 0xF6,
    0xF7, 0x1C, 0x35, 0xFD, 0xAD, 0x44, 0xCF, 0xD2, 0xD7, 0x4F, 0x92, 0x08,
    0xBE, 0x25, 0x8F, 0xF3, 0x24, 0x94, 0x33, 0x28, 0xF6, 0x72, 0x2D, 0x9E,
    0xE1, 0x00, 0x3E, 0x5C, 0x50, 0xB1, 0xDF, 0x82, 0xCC, 0x6D, 0x24, 0x1B,
    0x0E, 0x2A, 0xE9, 0xCD, 0x34, 0x8B, 0x1F, 0xD4, 0x7E, 0x92, 0x67, 0xAF,
    0xC1, 0xB2, 0xAE, 0x91, 0xEE, 0x51, 0xD6, 0xCB, 0x0E, 0x31, 0x79, 0xAB,
    0x10, 0x42, 0xA9, 0x5D, 0xCF, 0x6A, 0x94, 0x83, 0xB8, 0x4B, 0x4B, 0x36,
    0xB3, 0x86, 0x1A, 0xA7, 0x25, 0x5E, 0x4C, 0x02, 0x78, 0xBA, 0x36, 0x04,
    0x65, 0x0C, 0x10, 0xBE, 0x19, 0x48, 0x2F, 0x23, 0x17, 0x1B, 0x67, 0x1D,
    0xF1, 0xCF, 0x3B, 0x96, 0x0C, 0x07, 0x43, 0x01, 0xCD, 0x93, 0xC1, 0xD1,
    0x76, 0x03, 0xD1, 0x47, 0xDA, 0xE2, 0xAE, 0xF8, 0x37, 0xA6, 0x29, 0x64,
    0xEF, 0x15, 0xE5, 0xFB, 0x4A, 0xAC, 0x0B, 0x8C, 0x1C, 0xCA, 0xA4, 0xBE,
    0x75, 0x4A, 0xB5, 0x72, 0x8A, 0xE9, 0x13, 0x0C, 0x4C, 0x7D, 0x02, 0x88,
    0x0A, 0xB9, 0x47, 0x2D, 0x45, 0x55, 0x62, 0x16, 0xD6, 0x99, 0x8B, 0x86,
    0x82, 0x28, 0x3D, 0x19, 0xD4, 0x2A, 0x90, 0xD5, 0xEF, 0x8E, 0x5D, 0x32,
    0x76, 0x7D, 0xC2, 0x82, 0x2C, 0x6D, 0xF7, 0x85, 0x45, 0x75, 0x38, 0xAB,
    0xAE, 0x83, 0x06, 0x3E, 0xD9, 0xCB, 0x87, 0xC2, 0xD3, 0x70, 0xF2, 0x63,
    0xD5, 0xFA, 0xD7, 0x46, 0x6D, 0x84, 0x99, 0xEB, 0x8F, 0x46, 0x4A, 0x70,
    0x25, 0x12, 0xB0, 0xCE, 0xE7, 0x71, 0xE9, 0x13, 0x0D, 0x69, 0x77, 0x35,
    0xF8, 0x97, 0xFD, 0x03, 0x6C, 0xC5, 0x04, 0x32, 0x6C, 0x3B, 0x01, 0x39,
    0x9F, 0x64, 0x35, 0x32, 0x29, 0x0F, 0x95, 0x8C, 0x0B, 0xBD, 0x90, 0x06,
    0x5D, 0xF0, 0x8B, 0xAB, 0xBD, 0x30, 0xAE, 0xB6, 0x3B, 0x84, 0xC4, 0x60,
    0x5D, 0x6C, 0xA3, 0x71, 0x04, 0x71, 0x27, 0xD0, 0x3A, 0x72, 0xD5, 0x98,
    0xA1, 0xED, 0xAD, 0xFE, 0x70, 0x7E, 0x88, 0x47, 0x25, 0xC1, 0x68, 0x90,
    0x54, 0x90, 0x84, 0x00, 0x8D, 0x39, 0x1E, 0x09, 0x53, 0xC3, 0xF3, 0x6B,
    0xC4, 0x38, 0xCD, 0x08, 0x5E, 0xDD, 0x2D, 0x93, 0x4C, 0xE1, 0x93, 0x8C,
    0x35, 0x7A, 0x71, 0x1E, 0x0D, 0x4A, 0x34, 0x1A, 0x5B, 0x0A, 0x85, 0xED,
    0x12, 0xC1, 0xF4, 0xE5, 0x15, 0x6A, 0x26, 0x74, 0x6D, 0xDD, 0xE1, 0x6D,
    0x82, 0x6F, 0x47, 0x7C, 0x97, 0x47, 0x7E, 0x0A, 0x0F, 0xDF, 0x65, 0x53,
    0x14, 0x3E, 0x2C, 0xA3, 0xA7, 0x35, 0xE0, 0x2E, 0xCC, 0xD9, 0x4B, 0x27,
    0xD0, 0x48, 0x61, 0xD1, 0x11, 0x9D, 0xD0, 0xC3, 0x28, 0xAD, 0xF3, 0xF6,
    0x8F, 0xB0, 0x94, 0xB8, 0x67, 0x71, 0x6B, 0xD7, 0xDC, 0x0D, 0xEE, 0xBB,
    0x10, 0xB8, 0x24, 0x0E, 0x68, 0x03, 0x48, 0x93, 0xEA, 0xD8, 0x2D, 0x54,
    0xC9, 0xDA, 0x75, 0x4C, 0x46, 0xC7, 0xEE, 0xE0, 0xC3, 0x7F, 0xDB, 0xEE,
    0x48, 0x53, 0x60, 0x47, 0xA6, 0xFA, 0x1A, 0xE4, 0x9A, 0x01, 0x42, 0x49,
    0x1B, 0x61, 0xFD, 0x5A, 0x69, 0x3E, 0x38, 0x13, 0x60, 0xEA, 0x6E, 0x59,
    0x30, 0x13, 0x23, 0x6F, 0x64, 0xBA, 0x8F, 0x3B, 0x1E, 0xDD, 0x1B, 0xDE,
    0xFC, 0x7F, 0xCA, 0x03, 0x56, 0xCF, 0x29, 0x87, 0x72, 0xED, 0x9C, 0x17,
    0xA0, 0x98, 0x00, 0xD7, 0x58, 0x35, 0x29, 0xF6, 0xC8, 0x13, 0xEC, 0x18,
    0x8B, 0xCB, 0x93, 0xD8, 0x43, 0x2D, 0x44, 0x8C, 0x6D, 0x1F, 0x6D, 0xF5,
    0xE7, 0xCD, 0x8A, 0x76, 0xA2, 0x67, 0x36, 0x5D, 0x67, 0x6A, 0x5D, 0x8D,
    0xED, 0xBF, 0x8A, 0x23, 0xF3, 0x66, 0x12, 0xA5, 0x99, 0x90, 0x28, 0xA8,
    0x95, 0xEB, 0xD7, 0xA1, 0x37, 0xDC, 0x7A, 0x00, 0x9B, 0xC6, 0x69, 0x5F,
    0xAC, 0xC1, 0xE5, 0x00, 0xE3, 0x25, 0xC9, 0x76, 0x78, 0x19, 0x75, 0x0A,
    0xE8, 0xB9, 0x0E, 0x81, 0xFA, 0x41, 0x6B, 0xE7, 0x37, 0x3A, 0x7F, 0x7B,
    0x6A, 0xAF, 0x38, 0x17, 0xA3, 0x4C, 0x06, 0x41, 0x5A, 0xD4, 0x20, 0x18,
    0xC8, 0x05, 0x8E, 0x4F, 0x2C, 0xF3, 0xE4, 0xBF, 0xDF, 0x63, 0xF4, 0x79,
    0x91, 0xD4, 0xBD, 0x3F, 0x1B, 0x66, 0x44, 0x5F, 0x07, 0x8E, 0xA2, 0xDB,
    0xFF, 0xAC, 0x2D, 0x62, 0xA5, 0xEA, 0x03, 0xD9, 0x15, 0xA0, 0xAA, 0x55,
    0x66, 0x47, 0xB6, 0xBF, 0x5F, 0xA4, 0x70, 0xEC, 0x0A, 0x66, 0x2F, 0x69,
    0x07, 0xC0, 0x1B, 0xF0, 0x53, 0xCB, 0x8A, 0xF7, 0x79, 0x4D, 0xF1, 0x94,
    0x03, 0x50, 0xEA, 0xC5, 0xDB, 0xE2, 0xED, 0x3B, 0x7A, 0xA8, 0x55, 0x1E,
    0xC5, 0x0F, 0xDF, 0xF8, 0x75, 0x8C, 0xE6, 0x58, 0xD1, 0x89, 0xEA, 0xAE,
    0x6D, 0x2B, 0x64, 0xF6, 0x17, 0x79, 0x4B, 0x19, 0x1C, 0x3F, 0xF4, 0x6B,
    0xB7, 0x1E, 0x02, 0x34, 0x02, 0x1F, 0x47, 0xB3, 0x1F, 0xA4, 0x30, 0x77,
    0x09, 0x5F, 0x96, 0xAD, 0x85, 0xBA, 0x3A, 0x6B, 0x73, 0x4A, 0x7C, 0x8F,
    0x36, 0xDF, 0x08, 0xAC, 0xBA, 0x51, 0xC9, 0x37, 0x89, 0x7F, 0x72, 0xF2,
    0x1C, 0x3B, 0xBE, 0x5B, 0x54, 0x99, 0x6F, 0xC6, 0x6C, 0x5F, 0x62, 0x68,
    0x39, 0xDC, 0x98, 0xDD, 0x1D, 0xE4, 0x19, 0x5B, 0x46, 0xCE, 0xE9, 0x80,
    0x3A, 0x0F, 0xD3, 0xDF, 0xC5, 0x7E, 0x23, 0xF6, 0x92, 0xBB, 0x7B, 0x49,
    0xB5, 0xD2, 0x12, 0x33, 0x1D, 0x55, 0xB1, 0xCE, 0x2D, 0x72, 0x7A, 0xB4,
    0x1A, 0x11, 0xDA, 0x3A, 0x15, 0xF8, 0xE4, 0xBC, 0x11, 0xC7, 0x8B, 0x65,
    0xF1, 0xCE, 0xB2, 0x96, 0xF1, 0xFE, 0xDC, 0x5F, 0x7E, 0x42, 0x45, 0x6C,
    0x91, 0x11, 0x17, 0x02, 0x52, 0x01, 0xBE, 0x03, 0x89, 0xF5, 0xAB, 0xD4,
    0x0D, 0x11, 0xF8, 0x63, 0x9A, 0x39, 0xFE, 0x32, 0x36, 0x75, 0x18, 0x35,
    0xA5, 0xE5, 0xE4, 0x43, 0x17, 0xC1, 0xC2, 0xEE, 0xFD, 0x4E, 0xA5, 0xBF,
    0xD1, 0x60, 0x43, 0xF4, 0x3C, 0xB4, 0x19, 0x81, 0xF6, 0xAD, 0xEE, 0x9D,
    0x03, 0x15, 0x9E, 0x7A, 0xD9, 0xD1, 0x3C, 0x53, 0x36, 0x95, 0x09, 0xFC,
    0x1F, 0xA2, 0x7C, 0x16, 0xEF, 0x98, 0x87, 0x70, 0x3A, 0x55, 0xB5, 0x1B,
    0x22, 0xCB, 0xF4, 0x4C, 0xD0, 0x12, 0xAE, 0xE0, 0xB2, 0x79, 0x8E, 0x62,
    0x84, 0x23, 0x42, 0x8E, 0xFC, 0xD5, 0xA4, 0x0C, 0xAE, 0xF6, 0xBF, 0x50,
    0xD8, 0xEA, 0x88, 0x5E, 0xBF, 0x73, 0xA6, 0xB9, 0xFD, 0x79, 0xB5, 0xE1,
    0x8F, 0x67, 0xD1, 0x34, 0x1A, 0xC8, 0x23, 0x7A, 0x75, 0xC3, 0xCF, 0xC9,
    0x20, 0x04, 0xA1, 0xC5, 0xA4, 0x0E, 0x36, 0x6B, 0xC4, 0x4D, 0x00, 0x17,
    0x6A, 0xF7, 0x1C, 0x15, 0xE4, 0x8C, 0x86, 0xD3, 0x7E, 0x01, 0x37, 0x23,
    0xCA, 0xAC, 0x72, 0x23, 0xAB, 0x3B, 0xF4, 0xD5, 0x4F, 0x18, 0x28, 0x71,
    0x3B, 0x2B, 0x4A, 0x6F, 0xE4, 0x0F, 0xAB, 0x74, 0x40, 0x5C, 0xB7, 0x38,
    0xB0, 0x64, 0xC0, 0x6E, 0xCC, 0x76, 0xE9, 0xEF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF,
];

/// The generator is set to 2 for all named groups
pub static GENERATOR2: [u8; 1] = [2];

#[derive(Clone, Copy, PartialEq)]
pub enum DHGroupName {
    FFDHE2048,
    FFDHE3072,
    FFDHE4096,
    FFDHE6144,
    FFDHE8192,
    MODP2048,
    MODP3072,
    MODP4096,
    MODP6144,
    MODP8192,
}

pub struct FFDHNamedGroup {
    id: DHGroupName,
    prime: &'static [u8],
    #[allow(dead_code)]
    keylen: usize,
    base: &'static [u8],
    subgroup: &'static [u8],
}

static FFDHE_NAMED_GROUPS: [FFDHNamedGroup; 10] = [
    FFDHNamedGroup {
        id: DHGroupName::FFDHE2048,
        prime: &FFDHE2048_P,
        keylen: 225,
        base: &GENERATOR2,
        subgroup: &FFDHE2048_Q,
    },
    FFDHNamedGroup {
        id: DHGroupName::FFDHE3072,
        prime: &FFDHE3072_P,
        keylen: 275,
        base: &GENERATOR2,
        subgroup: &FFDHE3072_Q,
    },
    FFDHNamedGroup {
        id: DHGroupName::FFDHE4096,
        prime: &FFDHE4096_P,
        keylen: 325,
        base: &GENERATOR2,
        subgroup: &FFDHE4096_Q,
    },
    FFDHNamedGroup {
        id: DHGroupName::FFDHE6144,
        prime: &FFDHE6144_P,
        keylen: 375,
        base: &GENERATOR2,
        subgroup: &FFDHE6144_Q,
    },
    FFDHNamedGroup {
        id: DHGroupName::FFDHE8192,
        prime: &FFDHE8192_P,
        keylen: 400,
        base: &GENERATOR2,
        subgroup: &FFDHE8192_Q,
    },
    FFDHNamedGroup {
        id: DHGroupName::MODP2048,
        prime: &MODP2048_P,
        keylen: 225,
        base: &GENERATOR2,
        subgroup: &MODP2048_Q,
    },
    FFDHNamedGroup {
        id: DHGroupName::MODP3072,
        prime: &MODP3072_P,
        keylen: 275,
        base: &GENERATOR2,
        subgroup: &MODP3072_Q,
    },
    FFDHNamedGroup {
        id: DHGroupName::MODP4096,
        prime: &MODP4096_P,
        keylen: 325,
        base: &GENERATOR2,
        subgroup: &MODP4096_Q,
    },
    FFDHNamedGroup {
        id: DHGroupName::MODP6144,
        prime: &MODP6144_P,
        keylen: 375,
        base: &GENERATOR2,
        subgroup: &MODP6144_Q,
    },
    FFDHNamedGroup {
        id: DHGroupName::MODP8192,
        prime: &MODP8192_P,
        keylen: 400,
        base: &GENERATOR2,
        subgroup: &MODP8192_Q,
    },
];

pub fn get_group_name(obj: &Object) -> Result<DHGroupName> {
    let prime = match obj.get_attr_as_bytes(CKA_PRIME) {
        Ok(p) => p.clone(),
        Err(_) => return Err(CKR_ATTRIBUTE_VALUE_INVALID)?,
    };

    let base = match obj.get_attr_as_bytes(CKA_BASE) {
        Ok(b) => b.clone(),
        Err(_) => return Err(CKR_ATTRIBUTE_VALUE_INVALID)?,
    };

    for grp in &FFDHE_NAMED_GROUPS {
        if grp.prime == prime.as_slice() && grp.base == base.as_slice() {
            return Ok(grp.id);
        }
    }

    return Err(CKR_ATTRIBUTE_VALUE_INVALID)?;
}

pub fn group_values(
    group: DHGroupName,
) -> Result<(&'static [u8], &'static [u8], &'static [u8])> {
    for grp in &FFDHE_NAMED_GROUPS {
        if grp.id == group {
            return Ok((grp.prime, grp.base, grp.subgroup));
        }
    }

    return Err(CKR_GENERAL_ERROR)?;
}