decimal-scaled 0.5.0

// SPDX-FileCopyrightText: 2026 John Moxley
// SPDX-License-Identifier: MIT OR Apache-2.0

//! Baked binary Tang `ln(1 + i/M)` lookup table (`M = 128`).
//!
//! GENERATED by `scripts/gen_ln_tang_table.py` (mpmath oracle). Do
//! NOT edit by hand; re-run the script and commit its output. This
//! file is NOT produced at build time — `build.rs` is untouched.
//!
//! Each of the `M + 1 = 129` slots holds the natural log
//! `L_i = ln(1 + i/128)` (`i ∈ [0, 128]`, all in `[0, ln 2] ⊂ [0,
//! 1)`) as a correctly-rounded BINARY fixed-point value
//! `round(L_i · 2^7168)` — a `B = 7168`-bit unsigned magnitude stored as a
//! fixed-length `[u64; 112]` little-endian array, but laid out
//! **most-significant limb first** within the entry. A narrower
//! tier reads a contiguous HIGH-limb PREFIX (a free slice); the
//! widest tier (D1232) reads the whole entry. The `i = 0` slot is
//! `ln(1) = 0` (all-zero); the `i = 128` slot is `ln 2`.
//!
//! `B = 7168` is sized for the widest enabled tier's max working scale
//! (D1232: `W = Int<256>`, working scale capped at `W::BITS/8 =
//! 2048` decimal digits ≈ 6803 bits) PLUS guard bits, so
//! the slice→convert reconstruction `round(slot · 10^w / 2^B)` is
//! correctly rounded at every tier and the conversion product
//! `slot · 10^w` fits inside `W`.

/// Tang table size — `ln(1 + i/M)`, `i ∈ [0, M]`. Matches
/// `LN_TANG_M` in `macros::wide_transcendental`. The M-sweep is a
/// separate task; do NOT change this here.
pub(crate) const LN_TANG_M: u32 = 128;

/// Binary fixed-point exponent: each slot is `round(ln(1+i/M) ·
/// 2^B)`. `B = 7168` bits = `112` u64 limbs.
pub(crate) const LN_TANG_B: u32 = 7168;

/// Number of u64 limbs per stored slot (`B / 64`).
pub(crate) const LN_TANG_LIMBS: usize = 112;

/// The `M + 1` baked slots `round(ln(1+i/M) · 2^B)`, each a
/// `[u64; 112]` little-endian magnitude emitted MOST-SIGNIFICANT
/// limb FIRST (so a narrow tier reads a high-limb prefix). Index by
/// `i ∈ [0, 128]`.
pub(crate) static LN_TANG_SLOTS: [[u64; 112]; 129] = [
    // i = 0: ln(1 + 0/128)
    [
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
        0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000,
    ],
    // i = 1: ln(1 + 1/128)
    [
        0x01fe02a6b106788f, 0xc37690391dc282d2, 0xb3db2c3ef9a073a8, 0x767027886b5788c3,
        0xd122f7ff51bc9855, 0xe4c4a44afacf68d7, 0xd99e1b469bb0f82e, 0xd4520ee290d465bf,
        0x52d919eca4a5b7cf, 0x31cd81611857063b, 0xc200063f6433c9e0, 0x6c15655aaf58fd5c,
        0xe70bbce72bbd5a8b, 0x5122ffd096fb141a, 0xd0b1dcd4a092519a, 0xd47d420373ae5571,
        0x3fe0603ba5ff317c, 0x0a8eb3d0079a8dca, 0x3f88e699b8c4273a, 0xc52884637c5b9ec7,
        0x3d7cadc54786d57b, 0x4bb47df73ec22363, 0x3eb721d2e6f0342a, 0x0134ca4821621628,
        0xd3dd60ae58e7c9ad, 0x7db743727cb9a5a1, 0xfa6aca84e5429e80, 0xfeb4db6730184b76,
        0x610920a7d6bfcf44, 0x2b02808072b836e3, 0x9e7de4fefd70598f, 0xcb814bc3d0e8e0ff,
        0xdcc285e564e5e121, 0xd599d7f3a8d1a3d6, 0x0619d3b4185750d9, 0x90ab1fd9efca2425,
        0xe4e032a383aa212c, 0x30387ce6672ed541, 0xb07191650e667317, 0x1c7f56c7b1665ce0,
        0x4cde11f95fe8a7a0, 0x43c9fa43d28a606b, 0xc6bb929d5eeaf63d, 0xeeab66b88c339dd0,
        0xde972cd4c027fb9b, 0x39400a4c505c3555, 0x6a3f6dee03184a9f, 0xf118be7099333ac1,
        0xbf1587fbdd6832e9, 0x6babc997b7a8fdbe, 0x056e88b44b015ade, 0x581407ef1d54d31d,
        0x5180e1ca2f3a9881, 0xf68b76548a2ebab7, 0xc6ae07f363caefe5, 0xba32b75a0a3bc158,
        0xaee5359ca6ffb2b6, 0x6d86100734757b01, 0xffd42e0b88634ae7, 0x9ed3ae25cf6229c6,
        0xaa80fe9cf79b969d, 0x9a2cbb2c63c3bf32, 0x4561f01b2bef581b, 0x3c266550e2ed1e8c,
        0xaf60df8e40d63ce7, 0x6e91ce3894bdc346, 0x32ebcd00c9289710, 0x608dc54342170874,
        0xea1320209c101436, 0x77a952bd72172504, 0x43d330a9fb1023d1, 0xf18adff2f74c6678,
        0x78d6f46d89becc12, 0x52c100393025a1f1, 0x715f172882a6b03a, 0x101e0509fc77d772,
        0x0dc3eb636d796450, 0xde0c3fb5b4a6f0b0, 0x66e0477eeeb231e8, 0x128158db03355690,
        0xe2d4a0d40a2fd28f, 0x387d775c5c876c5e, 0x023be267eb9b3e48, 0x96800713bef04468,
        0x0087f02e07d72085, 0x4205df1e5dab452a, 0x02b9c9123ff594f1, 0x56692c9d8757c010,
        0xfb3aa161ab6aa647, 0x553e8cb26930444e, 0x353c10d8336db329, 0x11dee556131f5b88,
        0xefe72ab7c7a17299, 0x09ed8299c3fccbcb, 0x1236c5d0ce902344, 0x1bce547bbcbea230,
        0x577b4be7a9bae738, 0x68d5e7c7e9849b43, 0x7427345de485037c, 0xdcaf7316bc84a0d1,
        0x05e85349eef9d1fb, 0x051d30930fc0a596, 0x486dc4684779431c, 0xf6d4e7ceab2ddc2f,
        0x01ecb079bf7e1e83, 0x7eb9cac6d0f2b14a, 0xb5158bbf0dc8558d, 0x881b916820f2f1f1,
        0xf0f2a730769fa0ee, 0x044907c48bcdfce3, 0x32551f806ea26e15, 0x34f6a5424a77c207,
    ],
    // i = 2: ln(1 + 2/128)
    [
        0x03f815161f807c79, 0xf3db4e9a6f57aadb, 0xeb03be903ddc5335, 0xd140fe0577122f83,
        0x7a59b490758dcd0b, 0x7841aece8f9f71cc, 0xba7510a93b4ede62, 0xe808e1531ef3a140,
        0x15567658a1fc017a, 0x750162515d2a0984, 0x567d103c79a8ae2c, 0x0755b0eb65dc2153,
        0xd117bb22bcfff7d9, 0x923da68a68d7d37e, 0x0e897eadd8363cce, 0xdbde9f7cfe905d57,
        0x43f674e803f8f465, 0x368ab0d8150060ff, 0x5e523a535c10eaa9, 0x88a204b388892133,
        0x1998272fc817b859, 0x12d28d79ea75a3f7, 0xd2670a40d49db045, 0xcf609b96760bc66b,
        0x8afb2ee2b98347e0, 0xe4ef4a871950bd23, 0x1114aec3164d9eee, 0x1f5a322de21176d8,
        0x18d103429466d962, 0x1a4e9c5ec9938310, 0x9fc0870307e450d0, 0x6919a793bec9630e,
        0x749b49a1b7a9efa8, 0xdbf2810d56c09b7d, 0xcc940b0d3b040bbc, 0x6db5b10cf43da505,
        0xd105e0b64f5e26ed, 0x8f80495605f75773, 0xe8df1afa750ca86b, 0x290151e7ab01c836,
        0x93b39a8461de378e, 0xbb4425816473b5ee, 0xf4a4c506a2d0c588, 0x68de1a34dc7275c2,
        0x9ed8b5223d5d1f3e, 0xf8ab5e90a6564d3c, 0x39cec4c853e5fcd4, 0xf1d000cb27829d93,
        0xcd84729cdbfc44f8, 0xbe1a3085dbe9b1cf, 0xe4649dfd0bdf0273, 0x04e007a8fbf7e39d,
        0x8ae45482303cf958, 0xed7a9c2f832ab1c6, 0x184ed02936bba480, 0x709d999ffbfe4527,
        0xd40a6942cf43d77c, 0xebddf88545757ccf, 0xf55f468dd5042dff, 0xa4032e9bbd20e950,
        0xace93e2bc034c070, 0x44d4e77eeac773dd, 0xbf932becf67ac305, 0xe810f865cb1faa09,
        0x191be8cc7b4d871b, 0x16ca532c18c6b784, 0x6ef5e0fb53fca206, 0xe3627abf3705abeb,
        0xa4e8be4cfb5e2123, 0x9d83c81d9cd09466, 0x476a3ec2b7131aab, 0x2e238d0612f0fb45,
        0x6a3b961e2c9b9569, 0x485b127d588bdc23, 0xeb14c440018edb47, 0x4e500474e9c0219c,
        0x355481574dc6dafd, 0x00bd2cf2cd167857, 0x0b04765c70c7afdc, 0xa2727bb9648ac3ce,
        0x3f0b317084b3ec9e, 0xa23e22ef0556e73e, 0xeb47bc47ca0f4d83, 0x1a8bdd6e52a61ec7,
        0xafd4d3cbca94c573, 0xb17421b088bee3ca, 0x88e56148449b28b9, 0xad5ee389ab4075e4,
        0xa55a2adf0d8d4c7d, 0x9250f4983c92af00, 0xc1c7acae6bf41d6c, 0x4ae4c425fb45988f,
        0x2a13214130c1e283, 0x36b859e67d97a62f, 0x183ff5980cd6b033, 0x79d676664c8da51c,
        0xa4dff2b37d847342, 0x927f47455e9b9858, 0xc4a4808f9f3e8488, 0x9dc528cacfefe281,
        0x18314a96d31072dc, 0x562b4211af1af2f3, 0x58ea283c755e5c39, 0x5fbc0277b10cdb19,
        0x1ec79be8d6a1d902, 0x477a765720ef5bd6, 0x2da4befbed386f4e, 0x0e3100299dfe433d,
        0x5f2e4ed30ddd38cc, 0x370e4d7e89c10a2e, 0xbd486da51da86f73, 0xe699d9f8d31e6c54,
    ],
    // i = 3: ln(1 + 3/128)
    [
        0x05ee46c1f56c46aa, 0x49fd531c5af00773, 0x53c40a9487466226, 0x96efb6733a835116,
        0xd0f00eba0efcad2b, 0x67ded6c545ddab78, 0x086d1607140b9e2f, 0x9bb5ffe031e125ae,
        0x1c64fa78ff26439e, 0xbccb8a1281c5bfcb, 0x1f9c224fcf1fa379, 0x4836b43eecb2a27c,
        0x09abdca647e7951a, 0x927fd9119813a0aa, 0x4159d14ac45bf738, 0x183ea7a09890e6f1,
        0x74f0b9aa4c044aab, 0x042c672ce76f60bf, 0xa3ae6a7a58aaa5ea, 0x7fb0a7fae5b5a387,
        0xfa8b14817aac09a3, 0x68eacd59620bfe87, 0x13d6010e53141562, 0xad26a9dc7c204da8,
        0xf5185580f6869fe5, 0x43f84d19802da824, 0x469dad29155fbbe5, 0xb10554f3acf4fefa,
        0xd997c68f3d6308da, 0xc62baeddb8a331cb, 0x3c1806ecb7c15d80, 0x9b47fc6410a609f0,
        0x8f876a3f9c9589b4, 0x94b1ceba00d18a96, 0x09fd449bdb96ec1f, 0x609f446ead59430d,
        0xa8cea408a8f5654d, 0x1789a3ae3dc12483, 0x6bfaa2a30b271746, 0xbfdd1f34807e86f3,
        0xcdbeb1cdefe82f51, 0x0355a4f5efd45b86, 0x2f2ccbf13942acfb, 0xb56d139510d7da19,
        0xead91ce18eded60a, 0x56a58176adf47418, 0x6196b72880c57d80, 0xf86a2fe4806fcfbf,
        0x41daedf1c8a54cf0, 0xae16aa4f4d7afff2, 0xeb13755a79810105, 0x10cd59a17dfd0baf,
        0x313114730485187f, 0x4830c5253ac64985, 0x715750d4674f5774, 0x64f38012a3898580,
        0x744b0159b1a95d26, 0xe4d2e4a94c4fd33b, 0x3d7595cdd742c766, 0x46f09437ed5f987b,
        0x9ea14aa551b14ac6, 0xe93f218c44389b74, 0x89ffd7d997784e81, 0xe7a8dce7776b5cf9,
        0x18e104764c050db7, 0x36cfef3331206e04, 0x16eabdf9abdc0309, 0xe3f44b06a65dd006,
        0xbd932e24fc6a1571, 0x7afd5c57e95d05a3, 0x5bd99769276a339e, 0xbbf66cd84721c8a6,
        0xee22018c6898d53d, 0x086c18a981681007, 0x7e93b7be5e9298dc, 0xfa31c667a0a6c426,
        0x1a103573edf14084, 0xe4d10547d6ed050c, 0xb30cb0f81101324b, 0x5877aa7a5442437d,
        0x2347a618fab4f89b, 0x01684ff32c1b2e14, 0xc7ee8b5e92e9c7d2, 0x7d40be2ce280b333,
        0x637bd34332d4c4d0, 0xc7b279e9de9154b1, 0xbc1ef7d4d5c6ea60, 0xdf83743cf057d011,
        0x3691830429e92af0, 0xc65a3152d511f120, 0x5e77f1ab302158cc, 0x5edb10d91e00b236,
        0x02d0a50a2bde6e2c, 0xc286871557fde05c, 0x5ec8b2420917230c, 0x75074ef15a05b284,
        0x1825ad7f27c12128, 0x60601ed0cf85fc86, 0x1b542eb9dc30639f, 0x0365436ec2f7e462,
        0xe4f96d094258b1a4, 0x05e24776fc0cc323, 0x796918293a7bb106, 0xb611d075d0c6dfde,
        0x7963d957d82305eb, 0x80fcb7e92b2ae467, 0xc017adb5e627b3f6, 0xd3bd2ba946a3ae2c,
        0xf76d22766086499e, 0x77c3432ef8524cbf, 0xf11fb777bd2bf0d6, 0xb00f82153d7e6465,
    ],
    // i = 4: ln(1 + 4/128)
    [
        0x07e0a6c39e0cc013, 0x3e3f04f1ef229fae, 0xaefae14cddf35ad1, 0xdf6c758fe3673dcd,
        0x8a38a3ffec979e9d, 0x55d9a7bae0a5d2e3, 0x9ce344310f6e3a39, 0x02127ef47cb29271,
        0xff7bd74c38eed29c, 0xf6cf97038d212c6b, 0xc6ee8bcfc1bb60f6, 0x48625f868fd1d5f6,
        0x5faea913532b6b9b, 0x750b08638bd310a6, 0x93e18189403dd582, 0x1cc99aa5ea801ae8,
        0xce9214671bc4d08a, 0x626c2ef22ee8293e, 0xc035aad56bd6a362, 0xf6b2b0364785a221,
        0x1c0e08220a4e2e28, 0xe8b45e05e1a5772e, 0x7fa5d3aa3dbea7a3, 0x415cd4cc6c5511c1,
        0x29bdf766e853cd50, 0x9c07347d278b39ed, 0x4eda72ef0182f7f2, 0x8400cdeb2ad6ab1a,
        0x0afd3039660c9f0c, 0x1740d6c66721f58a, 0x775b65755911a433, 0x034e5ceb638db165,
        0x4bcc2822b4bee981, 0xcac1d2bbbdc530c5, 0x64b3d0538dd25814, 0xc7b39aa977077723,
        0xecdd781cd70f97be, 0x00872128422a728a, 0x6bbdb38c56901629, 0xe3d444d4d564ebbb,
        0xd573845b0c5fc975, 0x948d50d9ccdd8781, 0xa8d061ffc7661262, 0xf0bfd950caee6903,
        0x8540a3f4de1bef77, 0x0f14f3353af1b218, 0x463788a7b906f4ed, 0x8b72920a67c3706b,
        0x6483bfe19495b1ac, 0xed109f870c975e1e, 0x410d860d3d4c10e1, 0x5d01cc32323af80c,
        0xc2141a5fd27618a9, 0x17e1d8b33edc6351, 0x79ca222079cac542, 0xe1f836bdf6b13852,
        0xc88799c9eecd9969, 0x1678ec26486fc6bd, 0x1eec2e2f57f7b519, 0x4f53d356ab77734d,
        0xc6888f9c2b52267a, 0x28872ee945cb0fe7, 0x3a4a3445ed644c21, 0x1947ba58c7c58559,
        0xb2478447e70de3e1, 0x5c71d0a4c61b4b9a, 0xcdb6b676fb7be050, 0xb951ad597c0dedcf,
        0x42c7eaa7f673a2de, 0x876a8079e7d47be0, 0x5baf03de05daf00f, 0xe496938f62755d69,
        0xf72dada411f16233, 0xe7a59d9e1bdb2729, 0x61e79566ac7ae1d0, 0x0fcc14d42c7328ec,
        0x96046d72b7f0a7ea, 0x2d39200c877b8b96, 0x85745c41401fd6f8, 0xcb6ae47c70947890,
        0x5c2e4b3334114549, 0xaeb9c1ded248ffdf, 0x10c7bb71562da29b, 0xba11e9a04fe57735,
        0x629285c735703b4a, 0xf4156e29fd6703c3, 0x01690c66a17edc08, 0xe5f0a1068d6e3368,
        0xcd14265abe887666, 0x1dc5cb536d607a39, 0xd96cd3ac367267e3, 0x62ad13cead3fd833,
        0x0b36aedbef90f947, 0xcc6b4992725bf5d2, 0xc7af881bc60e15c6, 0xc41c3f1b7fcd1438,
        0x676bbff578d60f3a, 0x7c307c2c11026be8, 0x5d72da52ea229bce, 0xc0a5d2f41d787a69,
        0x41782f41e8addb49, 0xbc786ff42a99653b, 0xd4832ccdacb13807, 0x928c68b54f45a03f,
        0x99cce59505d36307, 0x49623828749f9939, 0xe8777af82f56f7f6, 0xd8c7b52694714c3d,
        0xdb17fb48e6f15e91, 0x58af15480d1c3c97, 0x50c11418d4f38575, 0xb4155940349037ae,
    ],
    // i = 5: ln(1 + 5/128)
    [
        0x09cf43dcff5eafd4, 0x80ad90155c8a7235, 0x5eb87846f4c603a3, 0xd0eb0381a91dfcd4,
        0x747318fe3fa03b71, 0x28b7bf2948f34c0f, 0x5c3e9eb0d45e4a00, 0xd5872e7012db1d0e,
        0xa32352574b37e6ce, 0xe4456190399bbf43, 0x117dcff896271244, 0xcb156608abb5ebbf,
        0xe38107f986b2096a, 0xf3128622693bcae9, 0x8094856aea0dbf8e, 0xd5ad14477633e5be,
        0x2c2b24d44a4531de, 0x42169dd2020a8e42, 0xb34033787fe05b84, 0xa6ef9d723649b1ac,
        0x4f20c90bc8dd9898, 0x3b4ddbc14be3ae19, 0x91dce9bb42440e99, 0xbac84710875276e4,
        0x8cc53b732f811a00, 0x3be38a2dbd7112d4, 0x1f26ea0fbc2704a5, 0x2a912f8adce13017,
        0x1599676f70a861e9, 0xe9cd0b0a9bbb9cdb, 0xb2165107ec995d68, 0x1089a263b8817f5e,
        0xb1019a83d28aa98d, 0xbfaade4d35ba9a38, 0x43e3fa8cc2a1ac84, 0x266ccef0ffb4ae30,
        0x43b8244fdf68bdf7, 0xd9013b917ad1c316, 0x39e423e160239746, 0xcdab5b93e2e8a6b1,
        0x8b8dd15041b3f483, 0x8bab9019464f6a3e, 0x7f89d6b24fb9ff0e, 0x8a1a5e0585888edb,
        0x8dccfbaff6bdcf3d, 0x62d27641bfc48a8a, 0xf7c8138f7028499f, 0xd514015b6f8b2aea,
        0x4308479b8a2e53de, 0xaddf2000e2b15397, 0x3d3e6c467f398cf3, 0x79bf5f0e02ee720e,
        0xa91564b3649627fe, 0x3394bdcdf0ded1e9, 0x99df7b45ef0b2520, 0xa1d257c516c831e6,
        0x615692dd560312cd, 0x360c81d23abd17b6, 0x0852e8fc6a3fb1dc, 0xaaa96b84d8f96d41,
        0x02ae27a29762e066, 0x2341d3c6b3f95b12, 0x25e9fbd590d42960, 0x9fef994072a62c5a,
        0xbaecaf6569426a19, 0x81ae7205d482c517, 0x1da199d89b475c22, 0x256342e98a160fed,
        0x269f2248f9f85998, 0xd45ece4de0b08aa6, 0x5267f4e2306ba29a, 0x66e85365f54e0db2,
        0xad8e0f956626124d, 0xbb44f6fde69168a9, 0x6e877afc21339bd3, 0xbc583d299b7afed9,
        0x3a3cf45c41d0c20e, 0x046e5e5e60031941, 0x45acf068a6e6c97e, 0xe11f0ca7d0957d2d,
        0x3d1355babde98e5d, 0x169120cbabcc53e5, 0xf4f9b47611968933, 0x5defe9b1b64d494d,
        0x6ef96dc9524c7887, 0xff56e07b622d444b, 0xfd374ca6732569b8, 0x65894285d36b6886,
        0x018e9c48f673c871, 0xe8930580d9ecbdce, 0xb7a76a881031a869, 0xbe5bf8a183c24210,
        0x8d6455ebf88acc62, 0x513f55f3d16892ff, 0xbe44d8a4c89937f0, 0x16a8e110a02607e5,
        0xc84655d49cbba4af, 0x2dad6596b4490ee2, 0x590163f55432099e, 0x4ea076d4031a0356,
        0x113ef50811c6ded1, 0xa7661e2071f1d5bb, 0x470a6b393710d5fc, 0xf7f086289f86e805,
        0xeeb0dadd2022c055, 0x9de9e5c3f4e6f24c, 0xd3aa6c665ba84239, 0x0dff92d44bc58dcc,
        0x1ca7e5ab7a0a08e0, 0xcb39232785e7c654, 0x642996e9f008ee3e, 0x24ee09ccd60b78d5,
    ],
    // i = 6: ln(1 + 6/128)
    [
        0x0bba2c7b196e7e23, 0x1a7950f7252c163c, 0x9bf701b2a89d8cb0, 0x7d674deba3a2b779,
        0xe9b91ebf9f71bf4e, 0xf5c2a87697a6304c, 0x457ce7cdafeeec68, 0xc6e2905e5d61ffe8,
        0x20141b96b5225e72, 0x924832add29267e8, 0x2d413d4f3c85cf83, 0x2f64e5bad2793707,
        0xecd46582615aa30f, 0x448cb91a37e962f1, 0x9d36cacc5f3fc06f, 0xcef8cb9b2caf24d3,
        0x1f607cdb14ef43a8, 0x4a67ecd9ac7ba412, 0xcc79885ecc65af77, 0x490116f9c8064bcc,
        0x5d84f0e4665ef496, 0xb07c54e7638f47f5, 0xa1d57646221565ba, 0x05ce0f5594ad1950,
        0x356ac51746c8a4a0, 0xa323e0f0a2840721, 0x2d65ec45fbfa0e84, 0x7c4dabf47babf156,
        0x03143f0f0de79835, 0xd1fa1e4a19a63c3a, 0x5a43b13b78d5e066, 0x9d8fc8861b95fdde,
        0xc56f36d2f2a17244, 0xb16ba87c18d07221, 0xff1ad9e6ed97e2aa, 0xb1742eddf435c437,
        0x9d236fe9d34f618f, 0x6d2bf91a835de56b, 0x70e2f19fb9d38e66, 0x2d137d561832e7d2,
        0xa74396ab65bb427f, 0x226464dfc67b6d60, 0x3490cb9538ba4309, 0x6abf64f4e5ffb093,
        0x6639c4ad7b390133, 0x6ecb49fa2476909b, 0xa02d475666d54a58, 0x4ad5ec2fe2e84fa3,
        0x4ececd473235ddd3, 0xc5fa54072e5feb80, 0xafa43321bcd3dd28, 0x3689845660728195,
        0x4e132b0e6465a3d8, 0x29a185f99de3846a, 0x560ee2ccb3aecf93, 0x4b0ffa55ef4416ee,
        0x056035bc5daa8221, 0x45a1015222415d8b, 0xd4b13a251084aa49, 0xa371516375a4e13a,
        0x1b0cd1b879d978ec, 0x948191efc4ffd859, 0xd4506c7b9210032c, 0x779ed9064de76edb,
        0x93867d92c889b901, 0xa9fa6aea11a7bd52, 0x40c127f0ad1d97fb, 0x6fd506b73071d4e7,
        0xa53e885af2582b5a, 0xa53cf31dce3f26eb, 0xb2a0d474d5bee4a7, 0x9c39dad5e4722f50,
        0xcf99598a5a7be047, 0xb7c3123da6f91aea, 0x5428eef4e89d483e, 0x0bb9e1e055cb0c88,
        0x6d6df7a1db825020, 0xac34daeb1b3be4ff, 0xa8677c9ddb3938e5, 0xadff7173521f09c3,
        0x59fe79304e61abc9, 0x543c5be65ad90583, 0x7cfb48369349d9d3, 0x71af9e18023b829f,
        0xc240f1e7c593e487, 0x9d3d864666759897, 0xfed8be569013b454, 0xcdeef830485aab53,
        0xe810e59a8a07f656, 0x90ac66fe097fce2c, 0x95919c2817ab8f3d, 0xea35fa3c4e46d670,
        0x53c5f373b456f7a3, 0x1f147fbfc03e59ef, 0x4887415a03f43332, 0xd07094c358bda40f,
        0x6e965f03c386dff5, 0x32e37893ec59786d, 0x7b454dd9b55fb3c6, 0xeb1b14385b8aaff0,
        0xaea410c656daac91, 0xd1ab17bf4c02dab1, 0x199d8ad8ddbae633, 0x900f340f75f39973,
        0x232ada9048341f91, 0x944666b49f586fb5, 0xbcbc26b2277131d7, 0xfefc0c587fcb0856,
        0x535bccfd372196d7, 0xd772c96df9f18028, 0x286803d6fd129b4b, 0xb9b16c268db8f052,
    ],
    // i = 7: ln(1 + 7/128)
    [
        0x0da16eb88cb8df61, 0x468a63ecfb66e94a, 0xbce26340fc53dc9e, 0x77778bea9e448511,
        0x1abee2d17d96a5a1, 0x766e7cbf647b0999, 0x6f275dc85665b730, 0x212b939ab0b4ed5d,
        0x806f507f73397040, 0xdaaa163b2d3363db, 0x4b67ea0ecaa21cc5, 0x968e314bb26291c2,
        0x04f3522d10282ba8, 0x3b65e536ba4c7c45, 0x1e69a65eeae2351d, 0xa65b20aa85a54cc0,
        0x4565bbcd5cd581f9, 0xf2b2ce306d375b37, 0x1cd1cbb3d75434eb, 0x8a51d84651a834b2,
        0x9809f5bb055505f5, 0x15438f5a8e08f6eb, 0xc7219752daf0d795, 0xbb5e517403e0826e,
        0xf81f9ff738b06a8a, 0x4cf3f398b24092bd, 0xf1ae1f9a20ca81a3, 0xeb34a3f401974408,
        0x41c7329c01b458e7, 0x71299632fee664f9, 0xf0e75100feb148d3, 0x86a0dbacc570f654,
        0x16888e185aab4180, 0x379af57b1d7f7160, 0xafae0df2d066c4b7, 0x842c9e6fbfe9238a,
        0xeba31e40511a1a32, 0xa50de7a443411468, 0x91689653e427b2a6, 0x83c05eda7483a64a,
        0x51fada76fed584a7, 0x754d572656799a1b, 0x1acbbae5a0f7a65f, 0x198529c6e310253a,
        0x1e488031b0c25807, 0xc9c14d449c20dcad, 0x11ee29cb9cff6626, 0x75c798b8bf93deac,
        0x4a04d9b3a304b51a, 0xb528a05d1d09b428, 0xb87287ba4c43b851, 0x745076e5261126bc,
        0x93149f19af46c51a, 0x58cb8b6f463dd47b, 0xb2468012e73806aa, 0x6a6e2881a4d58321,
        0xfa4904d78a2ff448, 0x60dd75e81cd408f5, 0x78646e92a885edfc, 0xeafba90217a9edc7,
        0x40b58843175997b3, 0x8735a1818fb17ad9, 0x8b7b76bacace9782, 0x7d86fe8a93af1b69,
        0xc9df02fa302ab1f2, 0xad640569cbad5aad, 0x59ed434996f941f4, 0x8c36fc3722976962,
        0x09ff7b167224bb1c, 0x180829f5bc6cfc30, 0xce111d64e918da36, 0x8dd920830220da67,
        0x474ca2389c4baa5e, 0xb5164e122ad7a17f, 0xbdf51a5d10c5835d, 0x64e3afee736b7e91,
        0x217f519e5451f091, 0x724282fbec1a4118, 0x1acaef19ebbefa92, 0xc74c5e71f5f25318,
        0x647a189d0406baef, 0x494888d5bdca0ac4, 0xd338d6cb81d8a286, 0x67a0d44325b8abb8,
        0xd39b0cf48f3c7080, 0x8f55f3c9126abc92, 0x6c066276e9d5f94b, 0xf21a1784300c639c,
        0x427eb6b67b318d7f, 0x6a9151cb4a99e2b0, 0xe9cf4e2dca5cb75e, 0xb314589df0817d5a,
        0x4d3f2994074befb7, 0x0b72aec7490843d9, 0x3c367f60c6822c0d, 0xd7b3938fe232a9e7,
        0xcf13caca9ecf4b65, 0x9041f2d04ef9f079, 0x24f7f76f92d0fc6e, 0x1416f35131e8a845,
        0xbf1e494f66fd6ae0, 0x637cf699c8b07b4a, 0xf555b90028d0c644, 0x9c1203d113563efb,
        0x58ed0fe6aed8f395, 0xab4709f51c8b6f0a, 0xe84a7cc97d0062eb, 0x435bbbb5cc056ee0,
        0x0ce7d10371d8729d, 0x3e2bdd176b7333ea, 0x9c11666a19115a3f, 0xa1e077d313adc27d,
    ],
    // i = 8: ln(1 + 8/128)
    [
        0x0f85186008b15330, 0xbe64b8b775997898, 0xd3474d3375b52596, 0x71851f0a96f69849,
        0x6172da6bde861006, 0x908722d985badcca, 0x99f0cc1de7a9459e, 0x9bc3578977e6bc16,
        0x68fdf95d5f36b22c, 0xe0f5584423c4de58, 0xcce585dd73d21d72, 0xd2692bbceee9d358,
        0x8f93e053980ce36e, 0x3c5c1d2c99f1c7fc, 0x0fea5d7bb857a365, 0xf85fcf25a5d9c7d8,
        0x6596620c9362f430, 0xc3f710acbfd7f245, 0xc27b07cf06e51059, 0xc14e8a7589ac698c,
        0x8963312bc2d0065c, 0x9da47afc9fb7dd8e, 0x86d0d6f318a07a32, 0x2f14b1da6e339208,
        0xf2a711e3fc43d0cb, 0xc2ec2f618e6239d2, 0xf139c8bb734ec246, 0xb48eb540eb97c7c8,
        0x67cd3330e47e74d9, 0xd27eea99550b5ddd, 0x2ebe437ed5f32769, 0xcea9eb885c3586c6,
        0xbefda077faa48510, 0xd39a56e3321515af, 0x866603a5e3704572, 0x4df3bf3936fa4365,
        0xbfcb22227753257d, 0x4883f3336a6eec21, 0x2a134f901eda05b7, 0xd61a990872b38100,
        0x355f3293b126e954, 0xce6586e6d12f0e36, 0x354223c2852d3853, 0x2745d1a4786ab619,
        0x51b0ed535ddaadec, 0xbdbe51e42297a345, 0xebfc64cbf6324a76, 0x3e7e4715b94a7a5f,
        0x8ae27c16a9362560, 0x83cab0ecc81476a3, 0xdf8712b52b44d39d, 0xe842912b929c44fb,
        0x84016a528c65bd71, 0xe4d50c14a70ecef1, 0x10b84ee53312631c, 0x3312496e64e6504b,
        0x955d39e73f704e8a, 0x61b2f223f811504b, 0x119ec4345b61b49e, 0x33af26dbb0dc11c7,
        0x7575a44bfec4a7d6, 0xd6d53036a61d5746, 0xd53c774d3209b121, 0xdb83a653136d75e3,
        0xacc9fcdf0e14f1c4, 0xfc2a05afdbd5db88, 0xce94dd65e2846224, 0xedfe0e06d274008a,
        0x60eafe86a532ebf3, 0x0c37df212e3dc08b, 0x5ff73ba7f83a048c, 0xfe5201f7cdfb11b8,
        0xad94bd4959bc6d95, 0x3853caacb8f6d57f, 0xa9e5d89b497686cf, 0x98bc1f9768e27ae9,
        0x2b8cfee7f615f654, 0x92a80d46a67053a5, 0x0b32ca4f957d9070, 0x36fdd95668d23109,
        0xd450aaeee97ff8c2, 0xfae0e9a51ba1a0b4, 0xb97ed07a59397fb6, 0x3565775e6ad96f34,
        0x4b47ef2eba9c4d64, 0x98487b853ca3c55b, 0xbe848cda188cdb89, 0xa76ee1f14651d72b,
        0x47d0c4008d0b7e56, 0x16fdddadfc5ea18c, 0xdcc91537682e5f7e, 0x8d58f367d95346d5,
        0xc87db91ef0a7fe80, 0xbb5fc5eb38d87fc6, 0xf9cada5071b4dbe5, 0x8022271047c59d3d,
        0x2948b237ca986baf, 0x08a2285fd832603f, 0xebdc88f455176226, 0xf044a0f5a7e48166,
        0x8c884048d6f19c8b, 0x11210cd8c5504a64, 0x86111232d384ebc1, 0x60d92f112ceb306e,
        0x673dbc726a4d96bc, 0x3637d896ccaed110, 0x32e1754fad935343, 0xb2641febdc0b9bc4,
        0x7ea9d5fc790b962e, 0x9263dc9ce3ad94fa, 0xf7d5a7393c3208e2, 0x0f8c416856a47e99,
    ],
    // i = 9: ln(1 + 9/128)
    [
        0x116536eea37ae0e8, 0x625c173dd325e46d, 0xa42905a6685a6aad, 0x37e6cb88264acee4,
        0x8b8cbcb12c6a3b15, 0x0d7918c77b015b41, 0x8b8cbbc77a5a64e0, 0x8e4540e2fe8e2388,
        0x46a9453da745cf68, 0x68c3270f1248d08c, 0x57443563ea30cd5a, 0xf964a692fecfdfbf,
        0xff7f9ac8a217592c, 0xf5de5471e2dc567a, 0xc6ea0c3cbe087827, 0xf5861a12bf69693a,
        0x40dcd5a619bfa721, 0x5082cb07e38f2033, 0xfcd7ac9d0256a8bd, 0xd256b327323394c5,
        0xa49e24beb86dae5b, 0x6cc3dd2c65dd059d, 0x51e460fc86ba82da, 0xc9becd084addf6c8,
        0x3ff9da509f5f4c6e, 0x58f5ccb10b3a8387, 0xa1982c4918f6b53b, 0xf81bf7c6d1e6f3be,
        0x899361957cc73d58, 0xfc2cc8c3caabb496, 0xdf992ad781fd8a71, 0x39ea764ad8e53c36,
        0x8d7abc89c1834306, 0xf1272e9804903529, 0x0eb59a0e68e14725, 0x49a98a752bed6622,
        0xf3060db5d545f8f3, 0x7bb5bd2f310419e2, 0x51ebe6a57fe43e37, 0xb9151e408421f167,
        0xa884a3ec782b8a44, 0xd5ca51c374d18245, 0x6d6c4c3e4763d03d, 0x11cc4c3c1cb8ded6,
        0xce904d8b9c733ed0, 0x301bbdcb86d0a12c, 0x68670ca3f56d4489, 0x5fd027a6ca75f5a6,
        0xf5d7230392b08799, 0xfedbc25ee5cad5bf, 0xb1c242724a9a710b, 0x521651fa900b8818,
        0x6966859aa6fed390, 0xf7da1c51c0dc2a6c, 0xbbb18bd2b53cec70, 0xb6f904bb6dd24fb8,
        0x33d46b7a2aad9677, 0x4493b5ef09ad4dcc, 0xf779de91554f9523, 0xbb5776c65e280169,
        0x8184ed38c1ef83fa, 0xf12755b33196aa9e, 0x277f0f153b83b98c, 0x122d074cf847685d,
        0xc9e43e0b7d898d1c, 0x7f692044be8a3502, 0xde539d3e176e5797, 0x64d9b61ef5a40bd6,
        0x48b4b30c6a1ff70b, 0xf1565870f1eb0040, 0x1238b80eea9e0270, 0x074dca4f5ca3b297,
        0xd31de7c8eff5f188, 0x67dd086b34b2a9d0, 0x85d0dd28008f5fe8, 0x445dfdda4d871ae2,
        0xc0d793af96ce3bf2, 0xc699bd4d0fbdb00a, 0xb6613f3e5d39b134, 0x485522abe137353a,
        0xf557f634eaaa401e, 0x3cd56298d8bafc3a, 0x4a9ca2ffaab02256, 0x8c07c3e399cdbffb,
        0x58ea56b92037bd8e, 0x4acdd33f6f038103, 0x1312853b7b01c8b4, 0x22558182cd513b92,
        0x9fab7f8c0a3ce479, 0x7c2f77de943af317, 0x6e3fef1ff28918fa, 0x5a576f0fe6ae6d9e,
        0xd3058aacd619b4a9, 0xc8da474d722a7d30, 0x9714a0bf5d244b7f, 0x028895bc662c1410,
        0xc4cb9b50f9b608b0, 0x5294512018bf2a3e, 0x343b2095da7da4cf, 0x8a8b3d88425b79a6,
        0x2090857ed20b7c0c, 0x692bd4efc55ddd80, 0xdc7ff172030a8ff6, 0xabd946dde375380d,
        0x9e18dbd69b5f0473, 0xa01b04c31266df20, 0xa7650448b9dc6074, 0x484bb8c252fe06a4,
        0xf53a0559b598640b, 0xf70372b2b26dc52f, 0x686459bc59230877, 0xca94bf89986cbf00,
    ],
    // i = 10: ln(1 + 10/128)
    [
        0x1341d7961bd1d092, 0x998376104d137502, 0x1a0eca5b78467950, 0xe61038805d37b037,
        0x2b83c4527bb59c4a, 0x69e2cdb80bbafb1c, 0x684138933429d182, 0x9fec8cce9e866ba2,
        0x9ef5ce95c9443e15, 0xd4517cc4405211a9, 0x268d6ba15834968f, 0x9e891c302b305d7c,
        0xfd1bda16591c46a1, 0x508da6abcda28f77, 0xed6a79c86978d27d, 0x4ab2d2af3aab71c7,
        0x2b4530cf43c09c4b, 0xd4813e5b6692f697, 0x63b2daabdeb5aebb, 0x81174434047a1d90,
        0x7ece9f785b027ff0, 0xeaafc98b6e8f7f57, 0x463c28e5ee26ccf7, 0xe18b3a6abac8b130,
        0xbc61c9d9a5352a8d, 0xaa24af51b618b335, 0xe4b5143cf0288044, 0x6eaf795da43ed5ca,
        0xd8e9db852b8ed4b7, 0x9b5b7193170ec0db, 0xb0be1eaaf568c521, 0x27a67511bdc7e4be,
        0x44cca34922e510d8, 0x89071fbb9f8639fb, 0x5e7603633055c8e3, 0x1283b6e617ff78f1,
        0x0819c71c2bfdcb07, 0x8499235edea2d7b1, 0x3f71085b35306231, 0x5936f1020942dc65,
        0xa885c6f16987e6fc, 0xe6a2a910c3b7e926, 0xadb4f06f8176ca0e, 0x9c693f7b149ba45f,
        0x75fc637475445e20, 0xdd70900ee678bfa4, 0x8e487d4f949a529f, 0xe4ba61721599138e,
        0xba13f329b5f9c48e, 0x4ae3b1d57de9276d, 0x85dcb2d0fcf52492, 0x958a3db114bc1288,
        0xe478c6b2bec0de41, 0xe22c16ec32028327, 0xc9d3776397d487e6, 0x250cb09b87fcd31e,
        0x64785e8c7de85e1a, 0xbd18c437782217cf, 0xefe5225a5afb2610, 0xa879263f56b3ba16,
        0x2be39e0934462d8d, 0x85179ef0d4c0a804, 0x1e67b1bf5aba8ccc, 0x2b788ab4c7cf5283,
        0x19c6bbe139a1169d, 0x0c2fa29a34673ebc, 0xf306fe87dd1cdfa7, 0x5703ce642c4e74b7,
        0x3f5c599df183fb16, 0xd01cf5052788bc6a, 0xb5c4d868527666db, 0xcee9503470f17fa0,
        0x95030cff686d862f, 0x41f977ed617a9ac2, 0x12191c8f08bfe8ba, 0xd94074935b76c52e,
        0xc11d17a6ef55690e, 0x7fff0c838a48ff64, 0xaa895ad45c8aba07, 0xffceb60a301ebfee,
        0x62c2f3fe3754022e, 0xdb5bf58a5b7ce0a7, 0xd78e304200fa5c4f, 0x6e9631b6dcb3d5f2,
        0xbf7979beed929ba2, 0xf13f6557f1923009, 0xdf320040e9d849a8, 0xfbf5e24e3eefb70b,
        0x5475191efe9fd1bf, 0xd9b76c914d823f4e, 0x392e1271f3845c12, 0xe9ff8e963303f8dd,
        0x7e577799ebf7abd3, 0x5303742083fc3537, 0x30f333df723a41ce, 0x6bc87c2bf2c56fde,
        0xff91286b7ad5920c, 0x900a62d20f07607c, 0x425e1bfe3fa5b9ff, 0x1e2135b3c2e1be48,
        0xa2e33957e349dff3, 0x1bcb391a27ffc61e, 0xf1926ccd134dbcf1, 0xdef3275528617dfd,
        0xfed028f0d63d8c82, 0x86b03f7086f4f592, 0xb299dce30a9d74c9, 0xef0de50326fa502e,
        0xd723db77f478296a, 0x19f4b1a15baf6610, 0x53bcc557dd1f1764, 0x7684c9538cf10449,
    ],
    // i = 11: ln(1 + 11/128)
    [
        0x151b073f06183f69, 0x278e686a2f91584b, 0xc9c7e09bc3e10deb, 0x969611657aa339ed,
        0x84d7db82e7a295c0, 0x3e6b4fb0f457addf, 0xbb355b22f8ee1435, 0xed9027ae9de15b17,
        0xe9a847b60d4a32f2, 0xe244e1910932f1a6, 0x7227af275c7e226c, 0x78d28859463bc96f,
        0x671caa11bdaba0ad, 0xd30de8a12d49ffdb, 0x5346b04a874096c9, 0x5b46d20f20ce89b2,
        0x0cb3cccfaab4ec75, 0x9c9dc66b076a0d1a, 0x71d511f7199b7fbb, 0x4f93a98675048811,
        0x0ee3a106462abf14, 0x556de1b656c0e432, 0xdd35cecca41db6fb, 0xc65ab8d537ad59cc,
        0xed3796bb907e8ca4, 0x2edddd2f5eba770d, 0x4e3eef19c00c832e, 0xd8d826252e066089,
        0x28047e3d0e1fc04d, 0xf0ecfc10e36cbf06, 0xfd7128b2b08df8f4, 0xb562e54cefe38779,
        0x9a102d633f72b79c, 0x0cf404b505fe0c2a, 0xce46bf1038527c44, 0x1b0c5328bbcc46c8,
        0xee57211f1e7fbd4e, 0x2237d9b140bf6b65, 0xe80e9872d3c5aefb, 0xbc72096f1fc5aaf1,
        0x384b04951d44e60d, 0xf9c5e328a4336c8b, 0x25538e68feac671f, 0xe44e671783457f92,
        0xac12ea95080f187a, 0x541679e3df2f6108, 0x9dccfbb8f2d02018, 0x22944a712d65ee23,
        0x9ce7d4651f559b01, 0x9473ab684cc1bb9c, 0x676e719133a6065d, 0x8d9f14260e3a838e,
        0x9f0da1f8ead292bb, 0x103605f832f1807c, 0x144911bc780b05a7, 0x4670aa39f75c69fd,
        0xee09636fbca4fe00, 0x5aeec8c33e630b3a, 0x6972de6ab3f45e6f, 0x2e6253746ed2fcdc,
        0xdc4a3f67c8615d4a, 0x8ebec29c68f3c876, 0x51d0ffe3625531a8, 0x8e8c946dc31c332e,
        0x71f6c060ccc5f84f, 0x973bd847aa4809fd, 0x18c1577f693bf26b, 0xc25c8e8859b9a166,
        0xb1ef7d5e233161bf, 0xe8a2b8267825fd63, 0xdde40538a71cdb9d, 0xcf06a3dccefad1b8,
        0xc3642588552f4383, 0x810e192d90240ae8, 0xf07da08111d9800b, 0x61a20a1cc11a8337,
        0xf64e9337993adb26, 0x9bdabca237867263, 0x69724b8a1ac1241a, 0x86b96893a162539d,
        0x6d0f8a7fe75a1911, 0x752a5aa9d8ca6494, 0x9a21f9e5987fd0b5, 0x37ac7cd775da3bd3,
        0x88f5f61275f8918f, 0x1fe1c66b03ae5248, 0x59574e426bf3afd7, 0x0e848ffc2729f34c,
        0x04d8965b9b77fdc8, 0xaae6962becba513b, 0x7639fb50d4518cb9, 0xd55938e8730d27e2,
        0xd5f4ca57a58f1bc1, 0x655a06ed25b38a23, 0xee827ea6879ff41f, 0x297d31efcf830e43,
        0xd3ea6690dada21b7, 0x1db550d9d67f0825, 0xbd498c8c0e45e12f, 0x03a2793f91e8db74,
        0xae2c323983f31989, 0xca8453937ce8372f, 0xbcef5830525e454b, 0x14a5f1ecffe991a4,
        0xfe1a6fa7ab92d58b, 0xef8c5ff1dce370d8, 0x1b110899df8d5a2c, 0xc79bf707178b48ec,
        0x21d82796e0ec1190, 0xf9adf896c05de3ea, 0x452a6edf3c46156e, 0x3b39a0571e41e786,
    ],
    // i = 12: ln(1 + 12/128)
    [
        0x16f0d28ae56b4b9b, 0xe499b9ed19b640ce, 0x50c1ef65087fdf23, 0x812f38a034b59afd,
        0x284ac3feba4a6521, 0xc1e6a872644009ed, 0xfa8c6dd6dc5afe2a, 0xa047161ceed4c843,
        0x73e8df8ae93c9c74, 0x3a47054da1760317, 0x1c16f09b034843cf, 0x8871211016743765,
        0x9f1a2e7a6f047d68, 0xbd843a807e0904a2, 0xe86d9ee2844b4bc7, 0x7c5f7fe524c08161,
        0xb538c781b5f4c145, 0x708e430033ca5281, 0x89a563e9ff6cec9c, 0xe2c24f7b7b3c8a90,
        0xa86e62743ddb8b42, 0xf620ed70564b47cd, 0xdceb080b42b5ad6e, 0xcb73d940ebfbcea9,
        0x207e53c7b04a747f, 0x0d271308b33d0cae, 0x8a52c3599158b783, 0x301d02ee3d070ae2,
        0x94fb6c58165a8617, 0xe6bfad99484d1944, 0x580e63beed3132ce, 0xb4e492d3e5ad0841,
        0xf2376bd25d022bc5, 0x6536b76cd5e59de0, 0x91579482bdfe4e5a, 0x9e6f6ef8267d2e7f,
        0xf26174812a06c4cb, 0xa381fd40ccbeb702, 0x22ea973f2ca7ba23, 0xff1e6e2075374559,
        0xd9ed86840d999691, 0x4ac5c2c375c0e7fe, 0xc922f2e31aed1a12, 0xe804b8ea44fa340c,
        0x602f73ef474baede, 0xdb007af821b0a2a2, 0x8682205509f154ab, 0x1255657a5bdc4663,
        0x8f5d6393df920c24, 0x3b55ae7d253c2c2e, 0xc63c597bc7b381c3, 0x43a3f1d9927fa089,
        0x7b30074fc7b7c4c0, 0x6d147a083290979f, 0x447f2d7711cd3add, 0x027c186b4b298299,
        0x10965a1371fb957d, 0x90ad91c61186a8dd, 0x6d7c907c415c078b, 0xb831858bca96729b,
        0x2cce2d63c56ac13e, 0xb19ec6fbbb6f4781, 0x311e8b96f65ec92a, 0xe69cafebaf48de57,
        0xb14d9ae3e5abf6dc, 0xf60ab60bdc868ab5, 0x6e81270165edaa94, 0xfb1de6052d370598,
        0xdff744c620b60484, 0xd238d6fcd751e17c, 0x0a06fe58cc3754c0, 0xb5fc6bd3df4e00a8,
        0x110076f7f229f0c0, 0x826271426e01fcf7, 0xa96efe12cff85821, 0xa6bc20fc3d5525cf,
        0x5d9ff865dc55b76f, 0x09bf61779b52018c, 0x55713a77ebf09253, 0xe450e0d81f564568,
        0x13b19ed489d8eec5, 0xcfc1b2a0c04fd478, 0xba5e4db677c8a8e7, 0x30f8bc205970c378,
        0x503b650f1ef90817, 0x5690e16a77d17eae, 0x2f421e632e6cdfc1, 0x8574d3d4ce52dfeb,
        0x50edaffb20ef541c, 0x72ea610b4adfc035, 0x75e401da71a71fdd, 0x63c53bac299a5da4,
        0xf84dfff90f7d0562, 0x630dc24ebe7d9cbf, 0x4961fd759c559991, 0xa7047c0a6e9870dd,
        0xaa25d276838467bb, 0xa9564fd9d688681f, 0x31c00a4909e8e57f, 0x608e62e40ed1dc24,
        0xe785bd97dd08b215, 0xc481f9efaf9daaff, 0x5e9d871cdd63519c, 0x55878f551b1c095f,
        0xeeabe144d6e2a1de, 0xef958b3437624699, 0xa68a96aa22f37378, 0x5291488d94e7c097,
        0x7a5e9aaef42db2a8, 0x8fa5deab554f9d9f, 0x1d76d5bf8870428b, 0x6ea44ee57263271a,
    ],
    // i = 13: ln(1 + 13/128)
    [
        0x18c345d6319b20f5, 0xacb42a65edab4357, 0x02603e40d7c4c4b4, 0x799d33d000e87966,
        0x0ae26ff95115bbde, 0xcecb8c1d5de8d145, 0xff89c5d41025284d, 0xd1080d7cc69d37d7,
        0x7aac269540046f2f, 0x4621f0ca01002e86, 0xc3d262e77e734d25, 0x7fc41664d9b8a241,
        0xc09f3c4fe91c2fb0, 0x541a9abadd19cb1d, 0xa1a94cf36a5ea441, 0x66da80b3571816c2,
        0xedb09a9d7ef1c33c, 0x23d387e81e7e3f10, 0x555a8be7ea8aa852, 0xf36b1dd23d043545,
        0x06939e609906a802, 0x935b46f494bd210d, 0x19e0b561bd23c6b5, 0x653a6327a2160bf5,
        0x6e6ffdc2deb70cad, 0x5f9ba8ddea45c55c, 0xf2f1d434b4fe1256, 0xb37bd21fc72157d3,
        0xcaf4013d0c08f684, 0x4cc04cdf63d3f1ee, 0xf460a37aea43e4fd, 0x4cc98b1c6d07ba01,
        0x4fc3d1f4062d6f49, 0x513b120e7ba795ac, 0xb0c2f1b9a1a77386, 0xf8bfa74c05cf0be3,
        0x8002473fbb9480df, 0xe88449be4178c8fd, 0x839c256572b16cde, 0x710f7aeb6b25c9e6,
        0xf37d8c7c1b808d30, 0x6c8f29a5ca70b279, 0x2e3fe5297d1235fb, 0x57e03ff6acbc6f5d,
        0xa35b89afa990c87a, 0x4153bef0ce027e3c, 0x16cae246135246ca, 0x0111b4881c1e97c4,
        0x3bf5977687acadb0, 0x99b18f7cf4231042, 0x1eebe5956c69d007, 0x3fc093811c379ac0,
        0xa20b7d8e2a2c0b01, 0x0faca670f1fc1ea3, 0xed90612bdad99b28, 0x4f566163aecf3237,
        0xc491f1ed7f1a85dd, 0xf98a875d219f1f24, 0x912a9ec8a4c67a89, 0xf8042442be05a926,
        0xe0e2ce42cb696abb, 0xf009ab25ac68bb85, 0xaeacf1816b76c44a, 0x06b723458d13f5f2,
        0xb18480aa6b5723e2, 0x0ba3778e71a2066b, 0x2d93eac259aad624, 0x88dd67fe037a880e,
        0xd11a37119887c584, 0xd82e8c558555e1cd, 0xf7de03e9d089448b, 0xd29ebd79df2256b0,
        0x27da132b857971b4, 0x8b6ecb9693de92d7, 0xfe0cd36af50a16dc, 0xc97a6e1e09acfa07,
        0x5c1c48b1e9574614, 0xbd620fd181ae3475, 0xdb5f51f701af01af, 0xa456278c6c18ee7f,
        0x173877ceddb7050f, 0x7dfada232c05cd8e, 0x7974b7118655cfe6, 0x7a1c370a6296de20,
        0xc168e91c7e744959, 0xeabf5614740d75a2, 0xefc261fcda5d5037, 0x6746fc95563912a5,
        0xf441ac7d6960ce66, 0x537b6bc0dfb63b61, 0x6ae3be77836cb480, 0x0ffb00739ad05fd2,
        0x5e938cc1c6f15535, 0xeafad7837c7218fe, 0xbfdbb32839a29283, 0xf259e73dc2c5b250,
        0xed8643fa15731836, 0x970d5c1019e95e7f, 0x2b8ab32da5749873, 0x872915ca1293563e,
        0xa841a9129e16eb3b, 0xee74ca212e59c19b, 0x53aa55f26555b442, 0xa59b3ead5474fafd,
        0xd2b7d88e9c765a40, 0xe3d086b9a47de2d4, 0xa3b57a56c7817211, 0xf97b38eb3e3c1819,
        0x7607f05daf607761, 0xab2d2b62b6851d50, 0xd408db2eeacb0de5, 0x9902cb917bc194a7,
    ],
    // i = 14: ln(1 + 14/128)
    [
        0x1a926d3a4ad56365, 0x0bd22a9c3aa4c79a, 0x9f67e22ed398d01d, 0xeab11fa42911a622,
        0xef3f32ca7818f6b5, 0xf726f31bab52ff3b, 0x7748a795a02b9473, 0x48646831427b81cc,
        0xe65928e52539f236, 0xaa43f096b75d691e, 0x9ac6e1030ea3aaf8, 0x79a49600c94c11f2,
        0xfb512031e7b9cef6, 0x44a201beccaa5969, 0xc9aa00c4fd18b93b, 0xcf316e0e56340bb8,
        0x8dce971663fc4d3a, 0x1b8765378631d496, 0xe8b65421495cb456, 0x8918c78ef6bed48d,
        0x70cbffcda25630d1, 0xb3d9877b25685ad1, 0x7fe4249cf5f88956, 0x86131f05faf4f9cc,
        0x5e55e53b1dfe3b21, 0x97e1f771f8ad4e7c, 0x02ecbdfa68c82b34, 0x3c442384aa609d23,
        0x669b9216f9400e91, 0xbf3461b4bdc1f647, 0x4b11f360d2d66f17, 0xdba96a95568643bc,
        0xcb05a44e2f8ed3b8, 0xce5d0de6114e605b, 0x583ee0400502ce28, 0xa95340c837b3aac4,
        0x054ca9640b9b1725, 0x008763af724db083, 0xb77870158ce1629d, 0xd08451113df9ad50,
        0x181f762da93aab80, 0x5683d85e2bf6bda4, 0x56700d1075c7692e, 0x455670160bb39d6c,
        0xaeba75a56f241496, 0x6fbc8d42dfde9e57, 0x7b210c5b717b0edf, 0xf4748b7b29fe2181,
        0x17c34a32b400e3bd, 0x507efe793452e35e, 0xff2af5c3645a86c6, 0x7fae22145088159a,
        0xe72c86238f7c188c, 0x9b44d46c9b051805, 0xa0f253fd791b898b, 0x4ea4bd14486150a8,
        0x3ee52c5876e213c6, 0xb2adca7069da478c, 0x81f86f7d89942169, 0x7e9c05ccedaee7c5,
        0xe51c8b02852288e9, 0x185e06f9bc87d53f, 0x3c6bb848c2bfe28f, 0xa1627901b1d5c168,
        0xd58abc232a0dfdb1, 0x7256d41bf4a70dc8, 0x86973352dd9fac4d, 0x0b2350cf89e85aed,
        0xe8c3a1845d9aef9c, 0xbef3d63392950292, 0xa294f544f211bdd0, 0x5be311ea51e0530e,
        0xa788ce54cdbac80c, 0x8c98d31e72ce6cf2, 0x419fe2fc0bf08c40, 0x6ebd5072f63b949d,
        0xbda4ef0db821d465, 0x07f1d45b8b4a5b76, 0x1e7fb3907fdf45ef, 0xa7b2159ae1444d85,
        0xf89cf4943767c4cd, 0xb87dd51649acb341, 0xda52a0d3bbf533e6, 0x4f105f52a4afdd54,
        0x0113a85a4079db3b, 0x1852672f6a577edc, 0xb616be1c137c5cea, 0xd865078929481fd4,
        0xdf087390d8ab3966, 0x48d778cb06248d72, 0xabbf2f428335b2a5, 0xf52a2f83452cb2e2,
        0x61da46de0049352f, 0x9f12066018a7b533, 0x3428248b4bc5b417, 0x0bb4df6cad13b1b7,
        0x580fd49c54223016, 0x6c53fad430d1c570, 0x90b2f52426023f3a, 0x1df180678a8a36d0,
        0x3827b9845058d528, 0xcdc3f9c8a591db20, 0x9133a4f382e62b6b, 0xab08a15dfe622755,
        0xa4d273287c60e042, 0x9c669376ac65b0dc, 0x32497b6d6dd7e142, 0x49b3c5fd9f91ee05,
        0x6a7155d974564708, 0x05d05e609066adca, 0xe498d0547e3600b0, 0xc00b296fa54b6646,
    ],
    // i = 15: ln(1 + 15/128)
    [
        0x1c5e548f5bc74315, 0xd617ef8161b1769d, 0x966af8dc3772cac1, 0x163e7f6cbbc664d5,
        0x87d91901b458f0de, 0xf7d0cf3e3211078e, 0xe55d167eedfe76e2, 0xf159cd13d6fdaaad,
        0xe63fc8a73dba4ad1, 0xd082320a21c6132e, 0xe25a3cf9ce22d379, 0x9bddd96648c0486f,
        0x7497fc7d1bb42807, 0xb4fd561c83158f38, 0x3cba6b68a850639a, 0x574d2d39ad5e8d73,
        0xb28da2c2d2b01300, 0xdda02cd7a984ef63, 0x8a649d868d9d75c5, 0xd7aca8bcf94b0574,
        0x83d10f5b80aa5ad7, 0xbb7ddf8785d662b0, 0xb6df494203fba212, 0x051a2f860620c23b,
        0x13faba402a0b4ab4, 0x1f503fe337237338, 0xb469aaa89dba964f, 0x58d71a6eeec1bd9c,
        0xd66a4d0dc764e239, 0x438391bc2e4e8560, 0x5f52e951b5cb8e8b, 0xfc18a605422b79ca,
        0x4328eaa509de7c54, 0x0d331184e8716039, 0xa563d29ee4e23ee8, 0xcac88f3823b32ba6,
        0x7fc0cbc0c0440b20, 0x60a8bf21a6d21bd5, 0x227093d6fad93069, 0x3d351247b4ae977e,
        0x637219af122e8972, 0xe9afd0d6f29a034f, 0xaf5cb15e99a01123, 0xc48fd5d27670a3a1,
        0xe9b9adfbedf6aa0c, 0x24fde649f83c638b, 0x76e640c2fcb50e2f, 0xcbc132ffcb8ff2bd,
        0x6bba7c6ef2eda026, 0xec64742cdf61ce47, 0xd1278f611e42b893, 0xb1996e7b76e87347,
        0x24880f8888ae293a, 0x799308b11f13cf87, 0xca329621c692d8fa, 0xbb4ae558a32e4d3f,
        0x0eeb1b7027511e0d, 0xa3113736650963ec, 0x318f693f0f91f02a, 0x105a1e7c0c168b24,
        0xe37d5b0cb96fdc22, 0xcd24909525dc1e38, 0x1187c78ef4b8614a, 0xe7a1e66344f4514b,
        0x7770fda898826a49, 0x096aa303bc35d627, 0x4f3c1e984cdbc7e6, 0xf6477bff67b7c22a,
        0x57479eb57470d373, 0x6da9fd5d431d786b, 0xa6562a4d3b7cb79e, 0xfe93baeba4c0dead,
        0x52bacb70750dfe8a, 0x564c282bb8252145, 0x61f1d42ff1a3a5b7, 0xa401b59c28d2a728,
        0x9b3d4fd70efe7d21, 0xe4fe40da284309a4, 0x53b9528557f08cbe, 0x5607a750ba720e75,
        0xde51252c4ea2e934, 0xa0131ee3517c95bc, 0xa22385de7ed7451e, 0xaace29f0ee370eab,
        0x4475e816ba053be9, 0x08e94655d9dcf9ed, 0x7f8e990c09b65c17, 0x875cbc64fe5972c4,
        0xb992c157c5d043bc, 0x79f233c8bb2b2023, 0x8c6db3146b10c34c, 0x9a17de95d5751a36,
        0x25690f2756f97838, 0x217eda550cbfb1ab, 0x8031c95b6795a85a, 0x0ab5d3a5b8b4f837,
        0xc9138eaa8c04b2c9, 0x510185e77aceb3d6, 0x2295cede56163fba, 0xf3dd8e4efb427147,
        0x9f98325de7b8ae51, 0x45e8478d0b104f62, 0xd0824dd835eb14a0, 0x6ee7755a88149fff,
        0x1e8ce029b890bba9, 0xb43b87e8f0ab0325, 0x23aa9c838bf5152e, 0xab3da95df8ecedd6,
        0x629c15b47bfcf010, 0x71b6a6507195557a, 0xb3a3ed5a0b728a0f, 0x6b12b43b07639ab8,
    ],
    // i = 16: ln(1 + 16/128)
    [
        0x1e27076e2af2e5e9, 0xea87ffe1fe9e155d, 0xb94ebc4017f6f957, 0xdd0897c1ff917c95,
        0x9e05a342cfca2ad7, 0xa023f5742646cc77, 0xfd2c1f6cf9a71577, 0x286a0066ec0c6459,
        0x51dccb81d608e6fb, 0x3f5b4ef064ae411a, 0x10568afc5d60e11c, 0xe2b3fa400574e2e7,
        0x48c4ea741bb0f03a, 0xe91a8c6548b72758, 0xb8b911907abe8667, 0x050013c149f361f3,
        0xe56ad5410fc7d00b, 0x375c1b3dd2d3c05c, 0x88ae84119d0a1ca4, 0xe2a9cc197ae476d2,
        0xe634d5c4b3997a4a, 0xd53a836247c43e76, 0x2bf402a9cc9021be, 0xafbb109727a06c7d,
        0x576133edc0e4a00c, 0xeb4db477a8880ee6, 0x4628a890a6b48112, 0xa0b0be49e370dfb2,
        0xf4634c2dcea5c2b2, 0x831db4c9fc7f71bf, 0x391e4dda5386e25c, 0x16517d32e5455baa,
        0x994a06f8f820e4a9, 0x9e19b336f16b0557, 0x23ca0530ec729fcf, 0x198be1f178573307,
        0xad80912deaf066a7, 0x75af3c47a1f1663f, 0x5f3c5ba41364247a, 0xb41fda65a8cb89d6,
        0x4c45d546a2c60d16, 0x0f2bb1a217c25ffa, 0x2cb3453dd060df97, 0x84770c13b21fea15,
        0xe3e8d516833ff35d, 0xe6fee1c8b31540e4, 0x08ce1d1e8cc78293, 0xc44638e2fbddc36a,
        0x83b723a425605e9b, 0xf662447d13ea7282, 0x6427f311215b5d90, 0xc40811856ec6be59,
        0x6aa43fc03541dc52, 0xcd021f3da34a8eeb, 0xea6023eafd4475e1, 0xd3233d7c555452e6,
        0x6ca21d3af36fa170, 0x0197c872f3f82954, 0x95a863148b1bfb0e, 0x07fec58bbb281c4d,
        0xb0c11587e5428ceb, 0xe6fe1bae84fb154c, 0xa325de16dba7e9a6, 0x63d0322f45be3d52,
        0x75ec938e6651b13f, 0x4392849ca9012db5, 0x6c7cca6f945c8783, 0xe5ca501dd73b91d1,
        0x799670d6f4c3ca8d, 0x60c3debb7ae56455, 0xd14e051167a7871a, 0x79b2bad9317b6065,
        0x389e29e6d2ccb14b, 0xdb61c6226e95bf77, 0xd2ea94e6545f6bfd, 0xaac94c41860adb30,
        0xf163b2ab5d98eacc, 0x294a76d6bfcb46ce, 0xde0b6f0192c8007b, 0xaf76a58cdb45252f,
        0xa791c12599e4723b, 0x9863c2eb37a6b963, 0x794ce4f0e072f786, 0x3dd1372571642467,
        0x05a99b78493cabaa, 0xf2b5aa446621cef2, 0x61468dd40d7250a0, 0xe6274f58f5b72d13,
        0x89a326d474ec0e58, 0x346cc5a85bd1d999, 0xdb0880e79306f55b, 0x9f9a5f3f1d7126ce,
        0x3d5e689e3df28c24, 0x29cde5a365d45982, 0xdc78cb085b330e6d, 0xa476b1b3ce8ce8ca,
        0x8bdba6cc34797bb1, 0xd293b5465a2aa00e, 0x25766b6b5f861bd1, 0xa98985e13fc2bca3,
        0x050d01d492f7cb0b, 0x96c18c20fa0c727e, 0x986ab1ce3cac46a4, 0x18b10dfe9b1863a1,
        0xbee56e928af47335, 0xcea5e35e77a77d1f, 0xf5d8df58ec6610d5, 0x07a0afc39282cd3b,
        0x353d9c9bf906cb50, 0x202520a1462b429f, 0x41abd20631e7ef65, 0x7243f8d51362b934,
    ],
    // i = 17: ln(1 + 17/128)
    [
        0x1fec9131dbeabaaa, 0x2e5199f9324e3bfe, 0x91e2ba81202ec615, 0x272625363c82c160,
        0x8d96c694f63a8eac, 0x630d9164d807cbc2, 0x42245ab7cdfa2d56, 0x2c05bc00d8f25186,
        0x587c9739bac599b5, 0xf60280532f7f29f3, 0x84ade14f0922a8ae, 0xe222809dcad97fec,
        0xe393964f4910a3f3, 0xe08a40de4db4055e, 0x68631429628a48fa, 0x4b6f25e763a7d735,
        0xd38e9e037fc54942, 0x0d05c28cf784878f, 0xd708fbecd711e977, 0xe59f52de20f854cf,
        0xbdfff8dd028d0f26, 0x960c2e0ef44c0349, 0xc2da208b8e85a5d8, 0x0e0c7c4ebff93304,
        0xebb2168f63efda6e, 0x68efb6cd5308549c, 0xef0fd10d0b826826, 0x9c552da85faf6625,
        0xb6fd5e0951aa9618, 0x83aa0210ac258caf, 0x7df5fa215d0d6430, 0x2dc1a841e487a631,
        0x3109db2af171fd4e, 0x58088e88b8bc721a, 0x41dece11496dd84f, 0x67ba188a70532d64,
        0x7288f0f0a700b3e1, 0xd5e7511164127936, 0xd81e650f3d7dac5f, 0xf4a6ddbf52f5f941,
        0x47062e886835c056, 0x6ce0965f364159b2, 0xc87caf8080a46ac9, 0x9cccd4fa7d17124f,
        0x2bbf5b5e44acff24, 0xdf80a2e66f68083a, 0x0f3427d14d631e6c, 0xd38ce6ac8bee7c4a,
        0x37168284ccf4c434, 0x898d21b117cfb61d, 0x3aed11cd7706bc0b, 0xb317e0803edc3b19,
        0xc1ff35b1121a6324, 0xf42aa37048bf4567, 0xe52720c094dce814, 0x4ab4dc710d8f35db,
        0x841112c6b2054b4b, 0x77a9ea7a06eceada, 0x05a5ac65ce552651, 0x0fc42ffa4190ce8b,
        0x4d1106236fef50cb, 0x9b00a02ecb95a694, 0xd29a5aa2f43be547, 0x13c64d4a71f54302,
        0x102beeaf75cc3f30, 0x73359491fa86c197, 0xde5ed7b2546816e3, 0x90918cf6ab235b26,
        0x794858a7ba6c6996, 0xf11c3df18b870837, 0x4ada583e82fa24c4, 0xef6acc681d1eb6c7,
        0xf283d10923fb64e8, 0x933535879b95d19e, 0xdfbd1b3071ec55e8, 0x03f1247f2a524419,
        0x8ab2b99658bd9949, 0x1490cb6cdfd07c3e, 0xf5c20de42e47925e, 0x7e8ded1a2986b952,
        0x4ea6d5879d990d21, 0x32517b51b42a24f3, 0x04c20fde6c6b540f, 0xed2e338efb23083c,
        0x3b45e74b2c8e1159, 0xc5df936c2c3d23ce, 0xaf96b8b08c0b0f55, 0xa029be221ce0a0f9,
        0x8f3ecbcecf080728, 0xc012d87b7f019559, 0xc7165b20dc8a90f7, 0x3d7270257160e485,
        0xc6fcb8d87ab4829a, 0x4d267ac8b56b0678, 0x35cb654244e98540, 0xc49e56968745a8df,
        0x2fd3f363977ae040, 0x4a67cc4d74f37476, 0x6c780a8c5e4d6f36, 0x3ce2355d476781d3,
        0x03078b8077a83023, 0xea6b36116f43ba9c, 0x1908780f59af8c9e, 0x724eb4a8e1ab755d,
        0x71f8f5e6dc5265f9, 0x19cd0e1a70a92792, 0x9c5991ae68a581b1, 0xa400efef8623f1e5,
        0x253276394978e508, 0xdce8f9d072440af8, 0xa2dbde65d97c79d9, 0x04b64e1e4c7a73da,
    ],
    // i = 18: ln(1 + 18/128)
    [
        0x21aefcf9a11cb2cd, 0x2ee2f481855d1c48, 0x4cb4fd8d03860ef8, 0x80c716868c17ff3a,
        0x17139cd6d8c48b9f, 0xd424a286289698cb, 0x043a6981cbb335eb, 0x03ee435a48281841,
        0xc32bcca2c2353a26, 0x33e24b919eddd7cb, 0xf6bd46f9ba3acb42, 0xbc12a8a9a6cae9c2,
        0x15d6781323d36456, 0xe58057692c98c95a, 0xf6c9a998ac4717d9, 0xcf01a4c0562da071,
        0x3fbb612c982a3503, 0x802b64f46b0154f9, 0xc85cb05c399c1f30, 0x0a9d0d53307aa903,
        0x27cf71ed9a73b111, 0xe910ff70e77eee2d, 0x1876a8538fd718ab, 0x6bb57794c67a44a7,
        0x84b5d463dd240787, 0x98f67b60d9465795, 0x2b676a809060c12f, 0x1c382c8bc050b979,
        0x066e3e3ce2d9fdd8, 0xe1d58064ca9db227, 0x0cdd8a103142f9e8, 0x073e1f547f012517,
        0xd90bb89ff734974c, 0x1b24232354a8fa20, 0x71ab51fde5211204, 0x262ed2d6ac1957b2,
        0x4f00e1dfd6b95e39, 0xd8760f77ab949c47, 0x63855aa689b5a10e, 0x2004c5c6c38189dc,
        0xb4615ef32211df19, 0xb533811d72f50379, 0xed25b727630aefc7, 0xe1d2ecfa7ff6ba68,
        0x0e1930e4888592ed, 0x79eda53883f5d1c2, 0x842488cb44662dd1, 0x754bb8b2bab0bf6d,
        0xdf17a2137742aeb1, 0x53941902a8e9dd74, 0x75539bc7fff82e0c, 0x45f03372b284b4db,
        0x3a10ea487a5704f1, 0xf73998d4dc6108de, 0xb9c5708d3ad6f8ff, 0x3f63a5c6b23a8fbf,
        0x011ed8840761e5de, 0x3315bece953cb268, 0x8347766315a1bbac, 0x0ddf2d96045d3f4d,
        0x045b43b910dcd448, 0xc1724e03c6f496e8, 0x9112b71bb7e9dce2, 0xd31e5287045279f3,
        0x0bcc821fc6567f40, 0x570c36160455b1f9, 0x370f2410c7a29cf3, 0x8aacfab7bf39ae63,
        0x5a926bff7394a814, 0x969dcf1f7f6121f7, 0xf370e9d6559470dd, 0x15b80b59ec4dc4f7,
        0x2b45deb0e27c73bf, 0x592385ea2692e215, 0xca5e8b0cbe8d4d36, 0x5fb9b4685ae09213,
        0xe793a13621408dc7, 0x3eb180a0199274fc, 0x4267915337b04f7b, 0x1c268eb4c34f4644,
        0x6a0ddcdd83581b43, 0x807a036c94d26813, 0x4517d70fa60125c0, 0xda05990571f829de,
        0xde988d79cb5648be, 0xe9f45a795c49b313, 0xa0ddf3fcb61958ba, 0x2cd738fe8cc9d5cc,
        0x61418d592fa0537f, 0x8c0f09aec86ec909, 0x24933b28755ea87b, 0xdce6dea0044f44e0,
        0xb2eeb31e168ed8f8, 0x6a8eebbe0d367f19, 0x2f013bb9419489ed, 0xccba379b1aa41a95,
        0xe93b73d9c5d1b7c7, 0x2e7cabe375d168a5, 0x23c989530a659e33, 0x391de30548c0f6ad,
        0x80a251f22d0d2dca, 0x2ed5fd39068cf761, 0x43ad0e2f4b053ee0, 0xe7ea3cab97869cad,
        0x674e58f96f43b27c, 0x50fe3454c718a5f5, 0xbce1a46a70a59aac, 0x59602dbde60b2712,
        0x032dc9da85d37967, 0xf73b50e2d0007e23, 0x375ecde9c0705983, 0xe1e9500d3fd52055,
    ],
    // i = 19: ln(1 + 19/128)
    [
        0x236e55aa5ecf4052, 0x0c08d1cb35ce7e77, 0x8fd9099532ec12a6, 0xd406e0e46589e2cd,
        0xd04f42b419b53ea7, 0x1ca388fee004bec4, 0x964d36ff95174873, 0xf7fe68d82db638f1,
        0xe62c815248000c73, 0x8f938565b0290613, 0x7d97a5a9df8431db, 0x6a83faf2a01069ca,
        0xf997a9584ff147e9, 0xb929c29769e2014d, 0xe7dfddbd48dc91ea, 0xd07237b7396a5535,
        0x7ea19cc36bcbd8f6, 0x0cf2b07ba7186707, 0x40deaff2f7c55699, 0x0b9c26d47747f1d3,
        0x3adec1e7f7e16e2e, 0xc765946a317695c7, 0xdf02c39051b87927, 0x612cbaa4f1fd0f7c,
        0x6fde4fc777a1f27b, 0x02a7f6bda0cae0c6, 0x2330ba787a14f22e, 0x361752cd07501610,
        0xb315555ba39fc602, 0xdefb8921d05b4059, 0x92707c4973c112aa, 0xfafc49f43ab883eb,
        0x2955bd018f6e323d, 0x49c526593051b1b9, 0x95ddc3e7cef4f680, 0xc284c4745a018437,
        0x4a6e95f82e944e34, 0xc814344b38830394, 0x299f99d8d6f70afd, 0xd9e66ce0059343cb,
        0xea01c3ef21aeffb9, 0x30c0b3954b8381d0, 0x5811205c6873e575, 0x66c23d0e39572bf8,
        0x060cbbb990fe3e1a, 0x4819dd3adf64058c, 0x56efa1711123a48d, 0x67e0ee5125fc6e5d,
        0x2c1842ad9c8ebab2, 0x554f30e773a4f096, 0x0287efcd8003bdb1, 0xe112200f94855b9d,
        0x7ae98d5c7d21482a, 0x6b62447502208f8f, 0x27e123c7e274ad9c, 0xef7b2387a6ee04b8,
        0x237987e844ea13e0, 0x199d0c88416b01d6, 0xbfda0e4fa4dd96ee, 0x86afae069e95c9e0,
        0x5b6f5c24306f2681, 0x359798c4a1f51f4c, 0x0e0d330e83a2f970, 0x23d4b80fc6e00590,
        0x28ab7eedb3fb97ab, 0x1d7557d9ac2f6e0d, 0xc1e9d0b72880691e, 0x4fff19f9f312543c,
        0xb629fbffc1545051, 0xc3f9586c908a46bc, 0xab273a19a1f58bd4, 0xb57b07b2ab2eff94,
        0x3e698e6115f78335, 0x233777b0930ebe8f, 0xbba295a1fb67b37a, 0x2ecbeb14ffb5a8a7,
        0xbec9c4200d26a977, 0x6066f8565251fc17, 0x90cf51b608de8923, 0xf63ad2199fc10b04,
        0x9e4700599f2bfbb4, 0x086863134a6cec55, 0x7e4c4c58e4c7912a, 0xe38af32c733c307b,
        0x698455dffcd533be, 0xd579486678f22e2a, 0x4a878d585e505555, 0x07d44b2df1790f1d,
        0x46a66d2a676227f5, 0x7169b05f20e0db9b, 0x3b0a3a918273a7d7, 0xcdcb7a06fc8920f9,
        0xc436c3714ba76cdb, 0x6f9e81cfa41f2a6c, 0x14a2ce65e9b68552, 0x8836e23e2f942254,
        0x343e66352e90ce1a, 0x05db36e7ede03003, 0x8ec18de7c4cd4586, 0xf0e3e524f36fe165,
        0x1a8fcecd297fa9d2, 0xbc04dce265faacd9, 0x077058b2bdff1898, 0x0f63ed228237650b,
        0x96791b6aa945ee99, 0x27dd89b8ac791832, 0x2216fea3c1e6ef9e, 0x3c2609874d7c7158,
        0xb095a47103c22c32, 0x16edaa063085ab91, 0x5b89882b538da123, 0xd1bee4e2484c93f3,
    ],
    // i = 20: ln(1 + 20/128)
    [
        0x252aa5f03fea4698, 0x0bb8e203edf4d109, 0xfbc9070f7e29fbad, 0x3603f226de50d341,
        0xbdef2e4cc81786ff, 0xe399a8f636cd3025, 0x6d706ec47a3b264f, 0x47b9f129c430292d,
        0x4d8af0d60d56204a, 0xb3125ba23751e986, 0xd86130b22710c256, 0x1c9f39649b4ebcd3,
        0x0f7ce81d51ceb731, 0x5c613b654636d8cd, 0x9b69f7993e3419e6, 0xb643e97d2dd22765,
        0x63b2ae75fedbdbd5, 0xde8657a2c2f3c6cc, 0x1d369a571df59f75, 0xfc184fe5e3ac4442,
        0xfe8c26e66ad27764, 0xc2d8f5310480aa8a, 0x2c7566d00fc24a52, 0x28ca7bf6a072ec08,
        0xe5f2303b5e7efe43, 0x1dd15fe7bd38c49b, 0x244b0a09271c28cc, 0x96132c80126c2c2b,
        0x2b0801b8bf55374d, 0xd69b44f477dc036a, 0xa2ccfddbb9039de6, 0x3175801f98da8c0a,
        0x418247fcb0edca41, 0xa9e0a8c391402160, 0x84a6dcb2a5475ea1, 0x94e91b28a7048dda,
        0xd43a90ae62897f98, 0x58eb2c9e74e36640, 0x7f074d39a659046c, 0x3e9f51b035047ab4,
        0x71e1d39f0b6de163, 0xd7d653a56f4ae26a, 0xb08911aa015e3077, 0xa7dab128f3a07ce9,
        0x991fdce8dbbb3dba, 0xca16b0d34bb2fa0d, 0x8215514ae435f79d, 0xe138a38cbcc64593,
        0x931698ffc3bfa997, 0xd9ad619dc8d783e8, 0xeef854459502fec9, 0x16d00cf9cdb39216,
        0xff60b2ec1fad0bd3, 0x8856fc90f533f861, 0x644a06958dd2d0d6, 0xf19afd1e19dc0066,
        0xe73bcf5c9c3d6d46, 0x2a4ac5de476f2c71, 0xf495188abc4c938d, 0x4e799f330783beca,
        0x6e988725d4cb37b2, 0xa38d76ab3d92be47, 0x5874212922a8cac2, 0xb80c404e841948e1,
        0x73722742e77e4b72, 0x9992d931007d7fcc, 0xb69fada1939fff29, 0x5663f9ab1a3eb389,
        0xd1fad5b3aaa1f1d0, 0x22a640a888f43e10, 0x161c75a8317806a8, 0xbb152da665a865b0,
        0xe33ce21ae7c0868e, 0x70ce1443483bc585, 0xf844e8343c8cd6e2, 0x014061fd5d8b539a,
        0xcd672b50923a0f1e, 0x16709c15c8a98f89, 0x179c924fca58ef65, 0x5ee6dd73fc225222,
        0xd801dd1fa2fda88a, 0x4e1004fe97ca7258, 0x1cf5f2a4d3c06964, 0x3c28183b351ce67b,
        0x272e4f2e9c54fdbc, 0x8d448aaf249da962, 0x0f6f9aaf519ea305, 0x611c9b551ab0abaf,
        0xc21ec0623aa038b8, 0xf22c3aa1a7d80144, 0xc4fe1186d10971eb, 0x5bc16e756179417c,
        0x880d1895be932be0, 0x74860f544f8f1bf2, 0xde0956064a6ae2f6, 0xfa1cd8feb17e4929,
        0x09a8703d5c54ff6c, 0xc6f09e155a229e19, 0x78f52ea0ca9e0dbe, 0x9416a481a5ee2638,
        0x72970feb36ff47d0, 0x91f158a341006a83, 0x58647bd6e542b3a1, 0x58cafcd093a68677,
        0x7276357599b72267, 0x1dcefdc642d28b23, 0x36b7cb233a8dc834, 0x0f3e65b363850993,
        0xcf77848e005438fe, 0x1f24b2160c0f78d7, 0xa71851dbf2aeba9b, 0x6297fa698bdd9c62,
    ],
    // i = 21: ln(1 + 21/128)
    [
        0x26e3f8403d1ee877, 0x9b2d8abc627f2e81, 0xf326daa75290329f, 0x744e54fde20dbc5c,
        0x3dce1f32ca360847, 0x727dc7fd815edc13, 0x50a7553d960168fc, 0xca484bb62e492011,
        0xba609993a6624094, 0x140ae8c53bdd3eca, 0xd02e7690b3df151a, 0xee994cdde06ae4e7,
        0xe548d70f743c1cdd, 0xe6b6c7f81719a4d1, 0x3b92bd170edc06be, 0x1a17811ec812c377,
        0xd355de00993902dd, 0x63da14962d05d0c3, 0x9d471d11f4d164d6, 0x1f753d3a3c47929b,
        0xbb3ff95a23c6db5f, 0x5bd98d0adcadce2a, 0x871cd91ebcaeaf8c, 0x58aa97520613d602,
        0x9b5dd3cce7a6a3c2, 0xbad5887db717238a, 0x4956f1fc4aadd175, 0xd22d7a17554a179b,
        0x745ce4849577fdbf, 0xf0a65eacb59bebf8, 0x91f6c8f29d0bd573, 0x470e76b8589d8b45,
        0x552d2afcde65ad0e, 0x9b5fc586b456b3ec, 0x4c06d10c345f4bde, 0xd6cf435d883a436c,
        0x1fbec848364034d8, 0xca0084286d67674f, 0x767b0ddb2d1d390d, 0x89846fc7da1fe49e,
        0x016b0b46e02f385d, 0x252d531640c2cb5e, 0x53a2c9e07dfd5311, 0x6fe14fe04123cc8e,
        0x05be95fb76a5ba9e, 0xe85cbc05ed4bb251, 0x156a84901a04bbec, 0xa10f0910206c55cd,
        0xb7a49a54815eb07c, 0xcd10cf242fcc68d8, 0xedd505dce7f32a8c, 0x7c14f0fce3403ef1,
        0x90fc7ca74a96ae50, 0x9994680aaeeaf2da, 0x80b018e66e316944, 0xfb6a375532748a0e,
        0xc9973ff1c5518cc0, 0x88c816c20288c715, 0xb1b808bbf306e601, 0x200d51b9095df3bf,
        0x9c151cd63e352735, 0xc74590b38c182fb8, 0xdb0dd88215ffdb7b, 0x45b5f10244a9c9f5,
        0x5a078566aa676264, 0xac6ff4704790585d, 0xf34de83b6b36cadb, 0x30cd979de3d72598,
        0xbefdb37903f2ec6d, 0x14b4954e7e565ed7, 0x767b4f9dd0012144, 0x630b8cc6f3eb2f37,
        0x021e9c8bce9292fa, 0x6b4267b09c51e66e, 0x83c8e007502b7476, 0xc78344f94e95c097,
        0xc31bf5a0d2525712, 0x7b7f3036cc78a272, 0x28a09e42e29df583, 0x94142aee617abbe8,
        0x9b4c4858ad5bf8a1, 0xad519590ce4b7c0e, 0xf3ca05bc7590c9e4, 0xd1bdcc103ad1d129,
        0x4af56ac6a6bb3d73, 0x33c9b864439079eb, 0x539120c664e65936, 0x38da51016212da96,
        0x7294d95fc4fc004e, 0x59e67fdaec0e305e, 0x9c5e2e0b07e52d5c, 0x8d752dafe92a3db6,
        0x2e2fcd1b8dbafc3f, 0xdb21bed497f6d7b5, 0xaa2985f91e62723f, 0x0692f47c23578f03,
        0x3e598cd20b8fe256, 0x8605e3a8ea82dd50, 0xfd4f6182bf37f764, 0x104738970b3ab4ff,
        0x56d3fc9b14b04137, 0xa298aacb995d994c, 0xff93e55bfbd7bd2a, 0x9fca103961ab3d63,
        0x2a8c346afa3e61c6, 0x3e8cde9377d14fd0, 0x3e838ddce1432116, 0xf30b4e22d2f1b0ff,
        0xac99a98a7dd38f56, 0x396267856cbebe04, 0x935caf80e818d33a, 0xe9e53ce157e424f4,
    ],
    // i = 22: ln(1 + 22/128)
    [
        0x289a56d996fa3ccf, 0xa7b2a1f0fc3c1882, 0xcaf99174f60aa4f8, 0x0b60281e0372cfc2,
        0x1e4be88c2aa9b674, 0x074dbd5a0ec2218f, 0x5bf7c41b1d45c958, 0x70f9c3c89bffbbee,
        0x5382094560821370, 0x2455d425f7714134, 0xcaecc688846d36e0, 0x8912416d924ce7e7,
        0x8d619e10a9c8a322, 0xaaf93ecedae72f50, 0xa1b471983a788c0b, 0x2d4cdbd45a0a0f81,
        0xd13ac7810fe579a0, 0x0b85f0c2934ffe58, 0x5b1a9bf2a41e9f45, 0x9c92443bfa159a20,
        0xfc32d8c5376f22a1, 0xfa16c9d8c2e4384a, 0x06c74f3000430374, 0xe57608740d9afa53,
        0x287f8bb5a9d79690, 0x02f3e3cb6e37477d, 0x379d74cb4f50fdea, 0xcad37159562edf67,
        0x6b44cf8257bb08df, 0x71a186dabcbe63ee, 0x56ca990eba28354e, 0x851e58e675e6e843,
        0x5463219c22b709f7, 0x1ec1fbb76ce48f5e, 0xb09b6a4e997a4603, 0x93e5fb6d6b500bd0,
        0x47d4e4381069a209, 0xf49f027e02ebd0af, 0x7b71f04995bc8dc4, 0xd87649c68da6d0be,
        0x161f1e5f9c4a3a7f, 0x73f68393b7c0ae27, 0x66e80aa79dc72e47, 0xedbe40da02bd2636,
        0x9e3b013b80d91301, 0x54e5fa7e1712809c, 0xbee2bc578f86875c, 0x811015868d99e1d4,
        0x7659a81e47f5bc32, 0x17be708feabdda49, 0xee18b63b30bea365, 0x6a3dd528ff40a3ce,
        0xe61ac10347901da9, 0x3bc8ced9064b2e9b, 0x4b7d5b113e6a3dfe, 0xe8a04acb44b95360,
        0x6a554979927cb88b, 0x0955df76d59a7938, 0xb0c775bd68f67336, 0xf1b2229cb1bf37a3,
        0xaeee142b3fa8e8e8, 0x14a410e159e48502, 0xf755c23644c2828c, 0x0d34d9f6dd6ff471,
        0xafdc4a687dae074e, 0x123298dab5ded512, 0x879547bb37b7738f, 0x8c07022e3e9748c6,
        0x835afe6374db8345, 0x413c344898fee091, 0x3a34c7a95e20a4c7, 0x30308ace44e86221,
        0x1c358975a1290f97, 0xbcef30f6b78afad7, 0x6a25fb69f8e868c6, 0xc975a32500ff7e27,
        0xedd9df57091db032, 0xdc62416fa41d4dcf, 0xf81e923b61ca9bff, 0x81dd95237a30a4fb,
        0x30adfe750e6a5413, 0x2f7ec5196dd975ff, 0x6fbd3404eb3cb829, 0xbc37bc39b1097adc,
        0x3c9c0fb68a59881a, 0xca5e24b2dcd29e24, 0x75433d420bfbbace, 0xe93cabd4a0e3ddcc,
        0xe4d819a04f688e9b, 0xa8d7d75fd0b07e69, 0x8bc64a0af3e18d3e, 0x99595c90741cc11e,
        0x69c3a51f11452a0d, 0x804ae8713eb06895, 0x5a99f78daa27bc3e, 0x6a48c78a7c29a831,
        0xabe8e5840cf17d0f, 0x1f651e12195b4048, 0xfa34f215ae8aa149, 0x79c2668469f69387,
        0xb988ae3723898564, 0x63c0a31df34d1ba4, 0x4e3567553973d144, 0xb45c3f864f191156,
        0x05c415b18f73c85a, 0x85f3700e39f2f221, 0x20d70e0970660827, 0x709d37576ed5dd11,
        0x79652d88dda0046f, 0x288333f1c044d24c, 0x210ff559ef3ad358, 0x7dcdb1bdafdc7376,
    ],
    // i = 23: ln(1 + 23/128)
    [
        0x2a4dcbc743686f45, 0xc803adc796334db7, 0x98c76a888aa87317, 0xb14f7cdaa66f4587,
        0x7c45f28623162370, 0xc8651fb18ae86452, 0x22d074e059700ee3, 0x0cfa87ee08278a9d,
        0x87810bdd95fc0026, 0xa0fe1b4c6436d548, 0xcbcc0c3abc5fe343, 0xd3ff783f367aa516,
        0xcad18b2a85915c1a, 0x29eb6769fc2edc48, 0x421ff842ee8fa066, 0xb3843b3e246cc21d,
        0xd9564c386e88415e, 0xaa589f5e6168c551, 0xb39430681914d5b8, 0x5450b239339927d7,
        0xe8d8097fb253ba08, 0x942d447aa2c3a7a5, 0x6b77879744852f96, 0xf528266759102ca7,
        0x64d1cf44dcc2ee6f, 0xe9f44995ea04a5ce, 0xb94f6bae4639ec6e, 0xece5c07dd01f2318,
        0x2c46229546041682, 0x8c9165da6ed8d9b5, 0x61895645327c64fd, 0x1fc5ba78cf28ab5d,
        0x43062a92aaa2b869, 0x660aa1e776b0a4f5, 0x28c4cf8c6281ac8d, 0xdebeff5833df6ced,
        0x215f75017452cf39, 0xc6b93ce4d3ff9bca, 0x59cd40fb016827a1, 0x71f2c1a96b5be7d7,
        0xc418eaec03945a73, 0xfe1d641c8cb37fe3, 0x79213d1cc44fbc3f, 0x998e8581e518e8ba,
        0xa183be9803c81b80, 0x8a95a4b5ffb4725c, 0x2951a8a5760deb3b, 0xad81dff6511fc169,
        0x9a2a20c00def36ea, 0x8d741c1bb7645cfa, 0x3ac088e0e7b49b53, 0x9daf091d7429e3ff,
        0xb58c044b70903cd6, 0x23da6171a2a8e8ba, 0x9f40bd73563c516f, 0x03f49255c8f3d0f6,
        0x799ff40fcd150967, 0x5028529c410f7ef8, 0xf37c4521a83cc159, 0x005596eb07fa20fd,
        0x8ab4ad6b7f35083b, 0x3241a69ca959a0b4, 0x747ac94f0677b0e4, 0x70166cec2e3bf9e7,
        0xaa943c632b60e9cb, 0xdc98e9c9746f485d, 0x57e87609624932fc, 0x92f9c8391282ecc8,
        0xad97465f51952929, 0x426b6fe50b2e66e3, 0x0c50c157a07f298e, 0xcb9adb12bf80d87f,
        0xb9ea7183a1d0fee5, 0x45feaaaa384552e4, 0x38a23d52ba369aea, 0x4e3f2b1f7d9f8d78,
        0xd3496aca65048206, 0x1bdb8a9e24ccf4fc, 0xceb38bf39b5b8ce6, 0x4640f835b452fd71,
        0xb5b712b673ef7c80, 0xe956acc6878a8545, 0x4df5000d19c32680, 0xdf2fcd540f98abf6,
        0x34b56935f06212f1, 0x50892c650d73b99a, 0x8beb9ab29dbc117e, 0x7fa9a25a86ebc6e3,
        0x072d367f68c71338, 0x9dbfd5bf7494bf30, 0xbb3c260a34cef041, 0x07b662a40f235952,
        0x45bdf3ff541778ec, 0xd6c1d7737a8dc892, 0x9f84093bab915f12, 0x8d1570fc261f06fe,
        0x48d913010fe7348c, 0xa22087e038d506a4, 0x1cf88d5860820108, 0x9e55998018c028c2,
        0xf476b8bc1ecc830a, 0xdb33c4635d0561b8, 0x6e78cf6b5178aa92, 0x9e418f1e84b78922,
        0x7846432a5302d336, 0x6f278d2065894c80, 0x3c809155b1700f3f, 0xff54c86be49502c7,
        0x77ed54380224efc4, 0x7ce48634769350d7, 0xa0270ff15a20acd9, 0xd0b4bc67a5014387,
    ],
    // i = 24: ln(1 + 24/128)
    [
        0x2bfe60e14f27a790, 0xe7c4140e424775fc, 0xd55c7355fdf3e631, 0xc0acfed6d928291d,
        0xedbafdfd023311f9, 0x97d44cc5b541268f, 0x4baeb699b88a7375, 0xad7848e7fb5d87b5,
        0x5429f714254cd485, 0x3305691dc711da9f, 0x854246d3aa0ac9ad, 0x17dc4f5a7aa0ed67,
        0x159a0fd6ccfef3b7, 0x8e3c319f5484a0aa, 0xd42ac3523017511b, 0xe53f634d6fcb8911,
        0xe8323e475728384a, 0x21b798a1c72c9f3e, 0xf09223deea47f5e6, 0xb9178605de5f035c,
        0xf1101f6670b5a44c, 0xff3aac317237e620, 0x208b9c36f170aec8, 0xc9273566ccb18c9c,
        0xf4080757b1427193, 0xd00a1bcf6eb2c9cb, 0x20ec247800094a7b, 0x7ac3b84bd7e2a046,
        0x9e7ee42b7efa4e7c, 0x86a302e30dc5f44a, 0xf90983310e65f970, 0x707409fc688fc4b6,
        0x95eec92e35b52ae8, 0xdfb4e053a0a51fac, 0xd743c796ba297f44, 0xb1429ee7fcf59afd,
        0x5b0906f45fa1e7aa, 0xfabf95720faf2e9a, 0x603f423bf874dcbb, 0xd762b2c52fa015a1,
        0xc20a63fb745520e0, 0x4ebaab654997f646, 0x2f3678cf01fd4c7b, 0xfac5c842125b45e1,
        0x9178dde102c8ceb5, 0xf9f58a4bcc1accbc, 0x2708a2e4e58598be, 0x924d5191dd92ab19,
        0x63b6d61674edad6d, 0xcb8186339f13c00c, 0x10d0345cbd5c53d4, 0xf010dcfdb8650cf0,
        0xeb8fbf0d6a69981f, 0x767fa66d21a62355, 0xd8f74cb831b49779, 0xf0ab9f1fc0d6d272,
        0x2d6e9aa6dfc3e302, 0x4f6f220dd5f50870, 0x68e1c2bf74702a99, 0x012d251f63a060cf,
        0xf4d99baedf89fd47, 0xe60f97d947b83307, 0x03cb99d0f01134e5, 0xacd0f6f052dc645d,
        0x6588ef7e376b79d7, 0x3404d4078b2ee27c, 0x494541b86a746aac, 0x0fdfb2f9501a7b8a,
        0x3999d1a6d0bce7ca, 0x8c1de05f60d5f1e0, 0x85d2a5df40e39f84, 0xccf60cb68a42f529,
        0xaa14a9c14ba63812, 0x1c1d2ec273d88481, 0x4433f2dc8dbd9519, 0x24f75ba571c4b3d1,
        0x9a5b3c5a77dfb50c, 0x8e1932313c7f6b3b, 0xab9ac813c3c9d913, 0x66d6080e10c2aed7,
        0x9d275de3d858aaf6, 0xc5696d59d332a40b, 0x506ca8e9e3a4ed75, 0xbf5f4cad5991795f,
        0x8d68a6f477ad33b5, 0xd683da3f1ae57622, 0x387896e274509c1a, 0xbd5e525a6ba72fde,
        0xdc9d760c1ea783c9, 0xe85befb270f572eb, 0xbec2e5725b1653c7, 0xe0762026fb344efd,
        0xeef93a1c30f98d7a, 0x8cd7b2f26e67747f, 0x6fbf1e646b1c3cfc, 0xa6b04ab49a117e1c,
        0x86d144e3bbd2ea4e, 0xe60df645024c96a1, 0x21f4bfbdc588e4cb, 0xfd470d046c18cf16,
        0x29309e2c8442124b, 0x79e95cd5e6fd3d93, 0xd9b7443fa6fcd604, 0xd36440875b4614a2,
        0x6bc16df5b4cf6671, 0x57a6a4075293abe9, 0x5b854655188084d1, 0xf05075abec3108a1,
        0x4404441deaaab35a, 0x460fbbf7cb9509b6, 0x0d5d22206faa1431, 0x047aeda71339bbe8,
    ],
    // i = 25: ln(1 + 25/128)
    [
        0x2dac1fce33a4391a, 0xa8ecb89974378df6, 0x8c9609738dac1eee, 0x4e8db6cc968814de,
        0xff787daeae503ade, 0x30ab184dac01a942, 0x971ceb8ae1505b15, 0xc42d57f063f3206f,
        0xbadac4df353f9928, 0x2050a73488731f72, 0xdd3c10d9d132fe8f, 0xb51d25fcf45eb63f,
        0xd858cac7b3bdd3a9, 0x2576a991e2a8ef54, 0xc8a36f0c331629cc, 0xfd5fe2e6efcd29cc,
        0x4b01374da32ac43b, 0xfb532bea92abb2a2, 0x4b298be0a3ef2cfe, 0xa3f8568f0490e05f,
        0x6f9806f0766980a7, 0x72defe5ee77c1c04, 0xb2c4d99ce5309bf0, 0xdecfc27195d3fe86,
        0x4a0845d1bd2870d8, 0xae39e3d936ea48b9, 0x3762714c1a034359, 0x553f738acf08a77b,
        0x5c307f5eb324378c, 0x559c9f63518acf9c, 0x67dc9159297a09c5, 0xe4fb68bb417ae271,
        0x5847a770f2c569ba, 0x71b40a1a23801b06, 0xaa3008d6cfe2e541, 0x677fa12aaf51766d,
        0x6d4bb35062438c24, 0xbe332f7b0c605260, 0x894fab34323e2a32, 0x8a3a736e1b7f0ad6,
        0x81a507da53ecf66a, 0xdd913888e8f16e30, 0x61f56900558e17ea, 0xabbcddb82a8aa02f,
        0x3599c269e11aa14a, 0xa4bd33acd5ace429, 0xf4ca81ea82f9cd0a, 0x02c47ff8b5283dca,
        0x0e999fbace9683fc, 0x7a2cf569dbfee926, 0x43af05c64ca0312e, 0xac4aa2b101630354,
        0xeea5aa12c1a799c4, 0xb1d72b524a595ddc, 0xfb1872d03056d8fe, 0x063586eaba3aa332,
        0x01ff572232dfeffa, 0x634aba96ec09799f, 0xa7472748e67dafac, 0x3badec676c042e15,
        0x2636b9d3e40734c2, 0xbdd34be52b186c93, 0x786255640db19ac8, 0x3f53d882592bb336,
        0x22b6906d7466a304, 0x3fbc8a4c84d7093e, 0x3b11a7d576e0e9a8, 0xd3c85e24a9af925b,
        0xda816f5d99f6b680, 0x6cfbbddca92324e1, 0x314540b95fe18ba7, 0x7804bcd0ff76721d,
        0xe632e7302c891ee1, 0x13b590cf278c94f7, 0x7cd06d819dd5f2cd, 0x43856bd8eeed561a,
        0x1cf0b19353aee120, 0xbbf2841d663b9a73, 0xe93e3951284590eb, 0xe6747ee344175639,
        0x7be26c1483646afe, 0x9344ac9053485a18, 0x32cbb56b39ac773c, 0x7336ae83dc3d939b,
        0x50f18aa703d8f90f, 0x8afe25c9a2c5944e, 0x1fcb1aae25ff2c2a, 0x8d96314a3c09043e,
        0xd173ead501f78cae, 0x4b6aa35658307b26, 0xb7d1961efb3554da, 0x2cf352a6f6c46da4,
        0x05dc21bd2e9a8aa4, 0xe52dab8e9eacd949, 0xd643a558cce7ea53, 0x2498d8c416528607,
        0xb5245903ff11e760, 0xdb35dda6325d004e, 0x1152f45fb49d7df8, 0x99ce26d6e7a73e09,
        0x9195421d69e96796, 0xa7e298f9bf5cbce3, 0x1e7bc40110313265, 0x798a3d0fc8039410,
        0x26232b04f54209f2, 0x04ddbbf544564e30, 0x28ba54a899f96418, 0xba04cfaf6e8e68ff,
        0xb3e772987212617e, 0xb288fd3e29d8d79a, 0x3981793f6e19f847, 0x81d03a3d6a0737cd,
    ],
    // i = 26: ln(1 + 26/128)
    [
        0x2f57120421b21237, 0xc6d65ad40c100c8f, 0xfc2929b1021656ae, 0xc62cba077969d04f,
        0x35ca286ff91588f5, 0x4175c8e206b19fb0, 0x257473ac8f0a96aa, 0xa99801dda6ded1b1,
        0x44d231d984fae5cb, 0x95c7d50666120cc1, 0xa7f41d5857c2691d, 0x1cf9498af9585e81,
        0x429a6fd4cdb8ad96, 0xe043ea129846c05d, 0x169e8b9d54657292, 0xf7ce0da1d38eb17e,
        0x23cff55c84abdfe1, 0x17a3beffc84ee0e5, 0xb5b7c71d30f977b9, 0x31ccf384ebfe6ed2,
        0x12a74a9ff66e2dc1, 0x9ecc3f7df1ac0686, 0xc163470c72139f3b, 0x012d6d307c10ca78,
        0xa97ddf2520d27752, 0x47880864d10fc2c4, 0x2da7bf3f18c5aee4, 0x6999eb2f49b751a7,
        0x5294b62349588eef, 0x0ff4a2f6ad081b94, 0x17a0c60d9b18708a, 0x47e39145690f1efd,
        0xc0c50cd5af36b870, 0x967747e46796629c, 0x6a275c1467dc8186, 0xfb824d2355f2b520,
        0xa11c5f8b9aeca8fe, 0x74aa730c6d997b63, 0x5c7c101bb2744222, 0x13522e807ee414a1,
        0xa9ac05aebde9e875, 0x79316e1903e7355f, 0x83dadf3b11bc65ae, 0x43b67487def861eb,
        0xab106cc8f7e539ac, 0x075302b17396b8f1, 0xc3999c4fb2c06605, 0xec4697aeffe99b8d,
        0x2d936d65f6836752, 0x699ff22428b448a6, 0xb2ff4adfda1737e3, 0xf05d58ac0d703033,
        0x14d3c2562028f4a1, 0xf92ce689ce79b560, 0xf662f36fa1a46f57, 0x4d296423f2598ab0,
        0x4b770c40ca08dc0e, 0x47e0d077311a8ff9, 0xa9acb32d7be9c9b6, 0x2488756c198c146f,
        0x63624a44bea5dcf1, 0x39ee7011f683f1db, 0x83132738f49c676f, 0xe62d9de9291d859a,
        0x0fa2afc002e0da0a, 0xe8ab05e37ff5a958, 0x4ec7649e5eccd075, 0x0e02e7455de91bd7,
        0x9256252e99c8b6d4, 0xa25f0c3c7d9ec581, 0x68f2e9e350a0f1b4, 0x866c99b9711de40f,
        0xf97fac4a3a9c59e1, 0x905386f0cd9b4219, 0x204c0e02c00d2291, 0xfc6dd2237c67ab5b,
        0xc388c6e59d8d5993, 0xee00755ef67e92d9, 0x9e2616a0d3196f35, 0x97e60c6f753d900f,
        0xb2f7929053c7eb5b, 0xcd96ae950c7582f6, 0x713a174d2c90a082, 0xc13b08a2f501b35b,
        0xe4dc795a0e697e8c, 0xae06060fc8ef94d1, 0x25eb5626f388131f, 0x5f72acb0216bdccb,
        0x65264673d9324b5b, 0x5a8ba03bc9783158, 0x408a084070c3c5bd, 0xb2f8561c03c9df4b,
        0xf3a3eddf35b49b17, 0x4dd442bd4da5a83b, 0xb153d138f71491b8, 0x37e3d949dabfc3f8,
        0xce596e6d9204a742, 0x67d88e7bf2bb839c, 0x8fb15897c0c0a0b1, 0xb6a6c8683a246aeb,
        0x6eeca55ef1b0ed8a, 0xb43eff6b0b93076e, 0xd635acb89df00a03, 0x64b30237f223ce45,
        0xee712585b8d18486, 0x5c569cc6071dede8, 0x9c907431c1b01958, 0xef9df1c1efd66b30,
        0x7dcc6190624d69ec, 0xca4e377d3d23e8eb, 0x13d25574763a5d26, 0xf31d2927a6a8557f,
    ],
    // i = 27: ln(1 + 27/128)
    [
        0x30ff40ca41922120, 0x401202fb932ef5a5, 0x5704b6b7eb4ebea2, 0x8a6cd2cd02e9b86e,
        0x83edc1bd4d29abb4, 0xde8c1375727ee8b2, 0xb8ade2b5d5c664fa, 0xdb5f513f87ccd984,
        0xc7b40974f3e6afec, 0x70b5dddf94c7e343, 0xc54a9e7ec88aed3b, 0xc6511bc5540fb9fb,
        0x07ed389560d67fa4, 0x0b25b1a1675a5e81, 0x6d2b496690a44b4a, 0xcd43a3dd6cbaac12,
        0xaf476eeb4cd09a46, 0x14b26acb07029c3e, 0x8139a45ce5701915, 0xd28de595f2e1ff00,
        0x2dc0d11431da830e, 0xd8dfe4301207c3c5, 0x84101f57ae0d7606, 0x8e5d38818e1666eb,
        0x1f52e7ffd6246ce2, 0x209198ae38fb628d, 0x39ad009939ea66ed, 0x3a0292226a3717c3,
        0xcb194c48df933eb9, 0xa24cf01308d4017d, 0x171e2f8afd63fab7, 0xa10f6bd28a1bfe55,
        0xcd701947dcf84ce8, 0x8c11121570649589, 0x4eefa5785f07909d, 0x2b6e68f49adbcdef,
        0xe393698855946653, 0x520d96bdf19c0c9a, 0x0de15f9e81c21f51, 0x5738c05ee208b19a,
        0xb1524ac0419fa3b5, 0x4a919750885b769d, 0xde34929d5ceb8e36, 0xd33292e525d6e969,
        0xf0932b585cce9eb5, 0x2256ebf2048e6313, 0x03c80877b4622043, 0x23fddca876cbd254,
        0xba82d47e30f3edeb, 0xdc9abeee70360213, 0x2d21606765e4fe33, 0xededdfb1e49c76f5,
        0xc4a222f5c5f83944, 0x1dd0d7f95b9c34df, 0x66ee04b602f81000, 0x28458b9ebe1febcc,
        0x7b77efc1e60621d4, 0x2c1bd606f40c6989, 0xfe789ff9680352c7, 0x9eb91cbae7fee2e8,
        0xeee4f9e89fbb7de9, 0x8a64c35c7cd5b698, 0xef75322b94d8ad05, 0xce5f572bb5c80f2f,
        0xf1adf09089f310ba, 0xb9a8f3adfd21fb61, 0x2bfb44266f017429, 0x989c1efaa4173035,
        0x3c3c0f6f6293866e, 0x665c47f91d60ed6e, 0x572f6ff15d72e219, 0xcf77ac8b7bbcddc1,
        0xe9e7611ff1a3efd7, 0x2fd601fe102e7048, 0x4eada7834a8e0c5a, 0x3a8ce2d5aa62a2cd,
        0x37e0eac61d4baead, 0xe902af7199e03586, 0x74072d9db5e29154, 0xfd3ba299b998019c,
        0x49428fe3b5dafbbb, 0xc6f3b0be5117b602, 0xb76df89e66f46a7e, 0x415f9d81766ceb4b,
        0x09155bd5b0ad7bc8, 0xb8673087d4fae7cb, 0x739bdb569768d317, 0xc4083a06957792b4,
        0x6dc6127e2e786641, 0x28b476d9f3dce1d5, 0x38bc09724336f969, 0x50fae9d1749f8cb3,
        0xede3fc0808366196, 0x4f68bcf5a75c75fb, 0x5970e4ab65198aaa, 0x94f404831ecaab9d,
        0x4ceb8fb67da65dac, 0x10cf6bb2225e5e31, 0xea5433d90c77c371, 0xfa61e9d0c1aae853,
        0xc19eb6fc14a07334, 0xa7e46a348a0a7e03, 0x2cd118288262265e, 0x28bc990ed226cf32,
        0x693c3a9a6a882ab8, 0x221142e318c7810d, 0x5d3da63f58940889, 0x82f2fd53e274163a,
        0xab3907f9ef9f90af, 0xfdddbf5f4d5fb81e, 0xca4af7711f56984f, 0x561640e5748c922b,
    ],
    // i = 28: ln(1 + 28/128)
    [
        0x32a4b539e8ad68ec, 0x8260ea71712cec4c, 0xa0bed3cf71766947, 0x13daa19ed7f0a39d,
        0x9ba61844978b7d19, 0x421b1cf777b20123, 0x45a5f1bad8375221, 0x17b14e8646577c95,
        0x38a0bcdcdad45f30, 0x190de9f6f95327dd, 0x2bc23c2669c853a0, 0x362f741fbe635560,
        0x5dae3ddde439aca7, 0x290cda1e3ff9a5ea, 0x6191fb6fe2d1147f, 0x3f83a6550cd1d47e,
        0xc966639cc6b31281, 0xb29019234d708681, 0x52dd76c2bed0ef07, 0xc3a3c4a02ca9da26,
        0x4df7dcfe29f5a6f9, 0xa80404e3ebf529f8, 0x632d784192cd1c2d, 0x73786b50c16c1cf7,
        0x419df6c7029c1d70, 0x6e96bfddb8204831, 0xabb7e04a42ec1f6f, 0x75870acda75bf235,
        0xbfd069022ffe05df, 0xaf606fbfc3ac0195, 0x2115d1b6b040ccb5, 0x0f1bc64cc3e3240f,
        0x90a6c97b4d40777b, 0xe08af2001c1734cb, 0x647a077c438286a3, 0x1ca0d6802502e78a,
        0x4063e4d1d424da09, 0xd5d0da4106990f8a, 0x15ef3beeb7ad3eba, 0x0d80a7d888153598,
        0xda446a9aa894cd13, 0x644e319f3d7edbc8, 0x333f949ca29ade58, 0x584708955da224b4,
        0x4861df1d931aadf2, 0xfce7d4dd705ff257, 0x397cd539d0759bd6, 0x0494d9d85faa45bc,
        0x8aede03183b84d15, 0xf5b61922e6b4e2ab, 0xf441fc6502520543, 0x189fb3ceb3743993,
        0xcd1834e8eb79ece4, 0x2eb34f3b8381fb22, 0x3ac897ec4a0c8999, 0xac75ec1701d167d2,
        0xb3059ee12bf32614, 0x8e3013831091c683, 0xa84b9e2442b6361e, 0xc90510b11bc73424,
        0xcdb5e0f873604294, 0x8b9b7d5a650c239d, 0x7a63715fe2fbfed0, 0x322a5e39c2ed0944,
        0x3b160cef17c637a6, 0xf08b56fb9f1bb841, 0xee023290e5bc6f1a, 0x22c01ec3c2e5662c,
        0x8e1624e472c0fb22, 0x47035b9ed62e60e1, 0x1bf52b809d494ea9, 0x93afe23573c6e1a8,
        0x942b47b335e94da2, 0x4a0850b00adfb993, 0xd2f4d3af99882fe5, 0x3efeed09826a596c,
        0xf69c950fb4a6c003, 0xe10f97a46092c4dc, 0xac506545aa98b641, 0x3a1368612522bb15,
        0x29b49b1eb4761626, 0x89bd1fefb6da4f41, 0x0aa8af5e091c9a09, 0x2e8d77760fb5bbdc,
        0xe78cfdc7cdd1ac49, 0x078982704297c51c, 0xdf6c1a7975a9d0af, 0x87936ab766a26c6f,
        0x7621c1d17c33dbae, 0x90992e1da99c7f83, 0x8e09604fc7a550c4, 0xd7052a0645a668d1,
        0x5790c8e9a55b0b14, 0x7ee176660038155b, 0x94fb0c47fcbaa100, 0xeb10463e0774ccc9,
        0xed83758147a81f40, 0xa764bf01c3f6e7fb, 0xea995ff6cb79bfbd, 0xdcc1413c1d8cb381,
        0x632d04f092029e13, 0x203163b9da835ca5, 0x9469d2d8c5e6233c, 0xf50c1aa3d3e76361,
        0x43a569273db1cbd8, 0x397f331ef3b2e70b, 0x310c00e449042e0c, 0xda16a3faf6fe6ed3,
        0xbcc1b7078e125ccf, 0x392cb1a9aaa45b82, 0xa48eab476866f3ff, 0x294153cfe6361c3f,
    ],
    // i = 29: ln(1 + 29/128)
    [
        0x3447783fc56ac632, 0x6e2360f533184fc7, 0xe36cdb1665bcc380, 0x99f2aab1c2c7880f,
        0xa048eef8d4945cea, 0xd7c1d20a43732b59, 0x0d91f71407d3dd44, 0x1e544a43b58674cb,
        0x58342ada8fc78250, 0xcc9803a1b44db225, 0x28a78997664e5ecd, 0x60a947c651a03ff8,
        0x75fd2f1d9ef82e69, 0xd8e9f4a4a63bb04f, 0xb0569c10c0fe16be, 0x60e372e85e30c500,
        0x152d07e9b063ccc3, 0xeaa9b1d605e793da, 0xcaf4cd71f7e90015, 0xef5526be2fe55a75,
        0x86272c39c883cfa4, 0xf1380f16acdf0b21, 0x33e779c15ab321a3, 0xd4b475fe1eee1e00,
        0xa20786c10922ad2c, 0x56bb093f63b23469, 0xc952ddd6dc909b9a, 0x75990491a950c091,
        0xfcc2824d155d6166, 0xc622e370d8fc049b, 0x2e126ae05e5ecdd4, 0xd9ddb847b824085f,
        0xf5637f9f4a5de7d3, 0x7b5a77df63ab7167, 0xb81388b1551d2613, 0x6392d7f57b042d81,
        0xf5813dd1c4ec196f, 0x196090a30418bad9, 0xc9b23250af815ff5, 0x5a7ab7115b753294,
        0x02124deed6a3e16b, 0x36b1265d3db117db, 0x0e8419cacfe63d01, 0x28fe131a391ffd7a,
        0xfdfed0dacfbbde10, 0x77baa98d027e6161, 0x09d0dc3683a84a9b, 0x449475959845df70,
        0x0d1e67c099a53705, 0xfba2427fe049c372, 0x5575a0fe88dff42e, 0x093b831ff5c3c869,
        0x1a35a8b1ae0d66c0, 0xd795f8e762ed327c, 0xc64d7a382202b88e, 0xa1df5f5e70084d24,
        0x8d9804d19efe612d, 0xd558548fd9f6ebe5, 0x4e37f8d13685786b, 0xce53b36c4aa2756b,
        0xfb4072442f2a58aa, 0x46225c2b942cc71b, 0x5b000b3864e2d31e, 0x70d2490aebaae1b7,
        0x192db1a610513049, 0xa4adb2af5bd82557, 0xb6672d2e11cc86f0, 0xe6a27ab32158f5a8,
        0x2811c98a4f60bc05, 0xb80b36f12a78e5b5, 0xcb5b27b50e3a509c, 0x2838726eb26f9fa4,
        0x01b66c035ade2a9d, 0x13c0fe6d9557bb7c, 0xeb95ab538c08b1ba, 0x6c71db84fa9aaf8c,
        0x25e1c716143cdf52, 0x4bb5bbc338da8677, 0xcf2f7753cebbabc6, 0x950de4fb912630f6,
        0x05e1842ae9f1265e, 0xce65558a99a972fa, 0xe45b3cdbd9203249, 0x95d9100047833c54,
        0x307ea24c1f9ecde8, 0xaf1ffa50eafe9b7f, 0xbf8373ed68a13bbf, 0x76bce8dfbfe745f4,
        0x7d44796b78c3bc2e, 0xb84267627d19b5cd, 0xf06e9c02f0fc68ce, 0x73d06b7d66781fa0,
        0x71e24f60ae979fc6, 0x6a56d7b25ef48d31, 0x2e55042aa5544bc6, 0x87d7200de14cb614,
        0x22f6edd40fbd1bb3, 0x2fc07a08eb8a180e, 0x9bb80723ae9fe220, 0x09dae1a6a367d77b,
        0xac04e0941bd7ea25, 0x976b8d5fefcb7f65, 0x171824e55486e98b, 0x8615f1e1307afd29,
        0xc0fe52ddac1fc609, 0xee76e054112117d6, 0x8bed831865d217a8, 0x5a02f9b29f189252,
        0xf4889adf95fe8cdb, 0xa5ce48b6331e3fb5, 0xa6b641ce6e36eb6e, 0xdf3e9e2b4d6436da,
    ],
    // i = 30: ln(1 + 30/128)
    [
        0x35e7929d017fe5b1, 0x9cc0326f99eb9767, 0x69b8b9a5d50ca14a, 0x7622eb26036bf0e3,
        0xc52dbae0adc20980, 0xb9509e418124d050, 0xb5322b036c95595e, 0x3b6ab9a17d1d4ffe,
        0x9cd9bdaac4f97dfc, 0xcfdbf7d1584bf83c, 0x71c2b57c1c74e08a, 0xc60c7a1b17a43d0a,
        0xf6c19aba49333df5, 0xf0543be89cf4216e, 0x02ca33612b53760c, 0x2a8cd4f5dd74a63d,
        0x7ca2003dc47c791f, 0xfb12e6d87e5aaba6, 0x05580b0a8cc46e12, 0x84b99c9d8129cd72,
        0xd82b9e787b712c03, 0xbcfbfb9d38af3203, 0x8172ae612602de09, 0x5c1b28c0a737f0b1,
        0x0d3eadee0759fb91, 0xdfc6e6a69baf9441, 0xc727090bf82501e9, 0x745930a8ea43217f,
        0x502a0b3a1aa637fa, 0xc1999ad7a37ad19f, 0x2bb5a1010d4a4382, 0x00d2afa4e0319fb6,
        0x5c295311a08948fa, 0x2e892cc2d0ff3542, 0x4cf00dc6f33d8489, 0x8e7798b6eb493af3,
        0x0f313e626828de77, 0x79ee1174930791e3, 0xa6afc7e246a63de7, 0xe81357f34c5fcdd3,
        0xb4ace9adc5beb9e1, 0x78e2f223e34c07bf, 0x4491ddcdb5532b39, 0x540c70108c08f9fd,
        0x6cb447dd426ef2b8, 0x54b621d792b08971, 0x421ca6e5d60f6125, 0x53060d05053bf061,
        0x091644a17975b6b6, 0xdd6fadc5712742a7, 0x4ff326c841729199, 0x257cf2d55b4bd3f5,
        0xd323e8c3f32a7910, 0xea3a6bba07c7add6, 0xc62f87fa0e35a4ff, 0xac1a188c2ccf7d25,
        0x034c2163d53295da, 0x21754ed1eb88bbec, 0x9525121e0a160e70, 0x12f9b9baddc4135c,
        0x42bf945d29237867, 0x03ec95c7955d1c82, 0x3dd8e8f8b2bfdef4, 0x061e0a7b45135b11,
        0x2b8a9e88b448429d, 0x44cd4ab6b0c3ce32, 0xca40a200f0f1442a, 0xef1f9627da8e2ebb,
        0x6b5340f6a2fa908e, 0xc6f7a48e5c234575, 0x447a0092b8f0c882, 0x75d5ac50dd26456c,
        0x2460fd8487f72ee4, 0xfd23d0c39d3e9652, 0x1a55cda76c0a4c73, 0xa320961bdb9c7d51,
        0x210d3f717c64dbe3, 0xb5ac6f8f022fd94a, 0xe760fe64ddd994a6, 0x9665e5df163dd42d,
        0x0acb3546848bd1e4, 0x16410df339d0ee64, 0x3be0a159cef947d2, 0x2e14fed7c4890461,
        0x37c22dc0e2de8658, 0xf614a9b1938a9599, 0x0b0e3344e75997ae, 0x9c302df197bae85d,
        0x5985dc38199b2c70, 0x274055e8c98b70cc, 0x004390f38b45c283, 0xd34cb6aac036638e,
        0x03ef965d1efb7801, 0x9a33cbd9df962726, 0x3aa7ca4ea0bbbee8, 0xfcf887e5f5bc84d7,
        0xc490885397bb2e6f, 0x12985662456db3ae, 0x4bad43b64056f6aa, 0x41525613f600934b,
        0x18f4a46cd51ba041, 0x73a956644b41304b, 0xd025c95f4c62957a, 0x32512442dc53f4a3,
        0x0edfe07732bacbad, 0xee64a30cb331df77, 0xdfa8836d9dae9f30, 0x3c4dacb101c489eb,
        0xcc35045f09620b2e, 0x6763e1c6b2c2765e, 0xd20dc979104c0c14, 0x4b82e833fb98fb27,
    ],
    // i = 31: ln(1 + 31/128)
    [
        0x37850ce85b19ac53, 0xf39d121c3d53c3c5, 0x87b948d9079ada33, 0xcbd352031118cc85,
        0xe6ccfad966f4429f, 0x87f65b0b7a1bf371, 0xc271e75284d501a8, 0x148f89ff54f5bfa1,
        0x9c7b39341485ecd9, 0x0ea35d916ac764f8, 0x86de6ab1649edccf, 0x20be91641a0a9256,
        0x1eab665b61b16e34, 0x91b0dc6c645c9677, 0x7e895b796cdce77f, 0xb8c4c5eba0861940,
        0x7df3c4a124a6f6a4, 0x3b86f4dc0cdc7900, 0x9a90eab23977b638, 0x317a9e2526b6ded0,
        0x0c991b5aecad7298, 0x227a9296a4a2ba8a, 0xbdee177c0cde95fe, 0x3980973a69e2bf0f,
        0xc2d0678e9a9822d7, 0xcf64f0f249a2a43c, 0xb27e96654baddb74, 0xaf64305b57f1cf20,
        0x42e49e37490a9f82, 0xa47b89f3b965bda0, 0xafdba4829391082e, 0x97b3f27e1087cbca,
        0x3ffcbc23009f2c90, 0xdad0129c2a55cd96, 0x49324634a18fafda, 0x37555656a6f103b1,
        0xdf9055a13bbdf22b, 0xe494c080d04dd5c3, 0x9569f6c8678e0d31, 0x11a9f93b81b49756,
        0x43d41612b25a4e3b, 0x1e4777ef193279cd, 0xabbfa9c8e9699401, 0xd3d093ca13bbd3b9,
        0x1e1f9e2f5ec221ea, 0x588d7a975f837ba1, 0x4ad0c3991df9a1eb, 0x351c1653c8b22de8,
        0xd518f7a2d462393e, 0xbaf6a8102fd9fa89, 0x16e5abf19824535c, 0xe1ba6ab84e2e0389,
        0xe657821f050a07d4, 0x3879fb442a50023f, 0x62fe9d58d0603911, 0x1003b9bff3a73422,
        0xfa26de98af226036, 0xa27db7f10fbb6fc7, 0x81f75034d252af83, 0x424527b7c13d77f8,
        0x822b8845e4fa4cd5, 0xdffb5a8924c9dc18, 0xa27cbddf57ce50ab, 0x472229a4c714ee3c,
        0x4e9b4d661a028986, 0xd5542f539034519c, 0x81800b05d7b271ea, 0x6475c34f80982593,
        0x334c3b20bfde2ce9, 0x273746450995d2ad, 0xf8c43dff0bbba9a9, 0x4ba1abe186e6efbf,
        0x8e4cf5ae38ab0c0e, 0x12a3b37a7207f3be, 0xb8d8a1e99b10cbcd, 0x46200b5daa2d859f,
        0x073d69ed5e0f2fb7, 0x77131a18cdac6d67, 0x2d5e8eb06ab39ab3, 0x575220a9a6003156,
        0x8be77b369408270a, 0x0e67f92bacb987c6, 0x6399840fd53f6f38, 0x4a5be8dc96c123b9,
        0x700792324c34b542, 0xb889c25fd7693b94, 0x19e36c477fae1746, 0xd447280e6226c465,
        0x203bc983dd909598, 0xdd2b687fd432fa06, 0xf6f0bb7c2a6192aa, 0x601dd2658a74c5d3,
        0x1503405e98cb44f8, 0x900aaf496c3e2b2e, 0x5e7c6bf12360a9b4, 0xe7f69183053d3148,
        0x5ea5dcfe50356343, 0x5a4c798743756a1d, 0x6dc121c4bd5ccfd9, 0x7b25f9c852d59358,
        0x0e1d66d86eb80b12, 0xe01318e39d8decb1, 0x10c6c7263ca3a16b, 0x387b3ac8f371a21f,
        0x0a5b79e44c3b56e2, 0xfaaf720319f203a6, 0x71a0a86fdb8627d7, 0xcad007c4a233afa2,
        0x8e3818d20347221a, 0xacffa1d58a7753fe, 0xe3af1f4150a7f624, 0xfb05e73ee5e816e8,
    ],
    // i = 32: ln(1 + 32/128)
    [
        0x391fef8f35344358, 0x4bb03de5ff734495, 0xc765ea7411adc1b1, 0x70f133f564bfc746,
        0xa192a8fd7cdd3baa, 0x3103360ed08de46d, 0xe9fc85bfc087279f, 0x78383094d75732ea,
        0x24ef8447c3518a2a, 0x89070cdb2eec1e73, 0x8fdb6776172bfb37, 0xd5380a61e55f390c,
        0xd1333657b55167b5, 0x58ade5fd6951da64, 0x3c03dcc9ca54dd54, 0x8bf1ceeb1e5824b5,
        0x713fe0f4c2d7c7b1, 0x502f3dcff8ec637d, 0xc6f7545069d486fe, 0xf4ea380f2351dc41,
        0x4a5db8cee5b396f7, 0xba0dbde07c9f7fd4, 0x6b99ba86f1e24d9d, 0xd9d2c797315ae461,
        0x87c11fac320bcc12, 0xa14da4aa647ec3a5, 0x8c17fdc1d53afd59, 0x804f8baf38087b12,
        0x1de0e91424ac72aa, 0x8395a571ba5770b3, 0x9f0195e80efdced7, 0x14cefa6c95bb4d99,
        0xd7249a7cc02cad20, 0x8540b97340d02355, 0x24b7618cb586211b, 0x29453eef23be1b4d,
        0x09b25725aa3fee7e, 0xc5405721619c2286, 0x4945b599c4f8ff99, 0x08d5c551c1eeb44a,
        0x106a192f403ac2ee, 0x0dd4de0f79097406, 0x78cf94ffcd306780, 0x58b02326d1cceb12,
        0x63db56205356ae57, 0x72238f022e06e4d3, 0xb5c2afaa7f4ea3c9, 0xcf8eb5b0c9e3c692,
        0xb00bf20eca5165b3, 0x58f814afe19e98a3, 0x99ce219205d648a4, 0xb9f56fc947f63b6b,
        0xbdaa61a9cd8b34e1, 0xafff62a76357e90b, 0x8396fee95476ad36, 0x51555fc5f5382324,
        0xdcae61dcfbbc65b2, 0xaa103201acbe9997, 0xce0b6a3f4b8c8048, 0x0eb53f26553d662a,
        0x1ef9a1700d91de20, 0x746c8b0e4f2e1f76, 0x0f002992559bd4af, 0xf37e0d9b8f7f165a,
        0x5be9dafcb3d5069a, 0xa861180d9332a81a, 0x9a24cee1351ab91e, 0xe59a5614f33b7135,
        0xf2f1f423f77a92b6, 0x89f7e90e577748b6, 0x3d71af55dcaf51ab, 0x1c0a25247442e81f,
        0x0d871123d7aa1684, 0xe33aa906fb4918cf, 0x7f1b75f33c825167, 0x0f5b3f78139edac7,
        0xbdbe40641264aa6d, 0x936a354a77ce5386, 0xbb5f122308d3a1e8, 0x6a07dc3e5f837712,
        0x73c5a6fda4480b5f, 0x7e99ff2ee7b6249e, 0x15d1422a49d70d29, 0x92681f1bfcb4f38a,
        0x6eaa9e3a4459c345, 0x2dbddb2e3089b084, 0x6a83689f2f981223, 0xdd49e3a9668ea744,
        0x2bfc89be49230f74, 0x72b34b3ce1e87552, 0x7cff7cc4bc8bcb3b, 0x85df6331a10c6a92,
        0x59e2e42947ebc67a, 0x9ea61f4d5b7c7e3e, 0xfadc43353ed89e9e, 0x370be5ae6883e714,
        0x68b0c185a29bad5b, 0x61b6e088248befdd, 0xfab366117b3fc0ad, 0x0f34f91477d0a7e4,
        0xff7766bc4f83e58f, 0x970538a524a912d7, 0xf14a60234d4f51a4, 0x30fb49b3d6db35fc,
        0x6bbc745d6b8f47fa, 0xa9524977950f0036, 0x2e657098dfcbb611, 0x34e22b6535533b6c,
        0xa1baf92164ce5d22, 0x0a7c777b9afce100, 0xc6aa60f60811687e, 0x4e3132bfaf916a2d,
    ],
    // i = 33: ln(1 + 33/128)
    [
        0x3ab842d69f7722b7, 0x221acbf26a00e1e3, 0x673d12bf9c69752d, 0xccd07cf7f33a42b8,
        0xd71548c2883386a2, 0x557eeedf31c6c7e8, 0xf0d2680eb3c62df4, 0x47720fb7c8b2aae1,
        0xe44c292315505144, 0x7349bac71942f1ff, 0x0792fd29ee3b9eb6, 0x7320063494b6e607,
        0xe007a0d7d3a9889c, 0xbbc6885ada163f2e, 0x702783dc7da06f8e, 0x25b745ab23ba085c,
        0x808311c4aca7aba2, 0x89b8ce68fff9ae3e, 0x5934f6f3a3d88311, 0xbc318782a8f2ea41,
        0x7567e1f647227f89, 0xa0c7ab037e960eaf, 0x87f99c48227bc48f, 0xa15bd2ceca8469e8,
        0x3c21b197ddb3d48f, 0x55a583395f9d3c0c, 0xc382608d076b3736, 0x544896a1c31f7c58,
        0x2081616f0edac49a, 0x940f3dc35cf4e6e5, 0x51037f43376f9178, 0x6c3ba96bc3495256,
        0xb9c587fc1d5cdfc7, 0x54bc94e449576bd2, 0x63e98f240a5ff255, 0x4652695ff6eab6ed,
        0xbc58ae8aefdadc47, 0xf8bc75430a11e08a, 0x302f64ea91148e29, 0x88b4daadb2c2054b,
        0x7cbe48451b1205fc, 0xcb46c64ffac19704, 0x88bf6daacbcd1d59, 0xef5fdab228a59d47,
        0x9bcc2c488f0da855, 0xd5ae9f8b1f1dc67e, 0x0baa90f78e53c3b8, 0x458e6716adbf3eb0,
        0x8323a0ae17e77a33, 0xc77304729a0611f5, 0xf7ce77a399c04b95, 0x28e5ca2aeff14aaf,
        0x37386ea90c73ba3a, 0xc37724c2c19fd537, 0x466c48b2bfae31fa, 0x903dde0183a5257b,
        0xe767d1035923a0bf, 0xee80a88860cce10c, 0x7aa5a7587eed3aad, 0x7dadc854c4c85b37,
        0xc8bd58b1c799e404, 0x967ee019857989f8, 0x6730a4b261f2a81a, 0xf85e6e45292752c3,
        0x7721e75955740cc6, 0x9868d7d8ee419c7a, 0x7417acaf406dcfcb, 0xabb508500e29a2bf,
        0x8eea942494d90f0c, 0xeb1180c7bd53060b, 0xc308be6d9d3c6880, 0x70bf565e7f9a0646,
        0x97550ba591187ddc, 0xeaa76140133ab5b1, 0xd07d952b1c52297c, 0xc5e231e2ab6b479d,
        0xeea17119d4f21ab8, 0x40c661d5f94c06a7, 0xc33b1533ef845244, 0xcc49ddfd34c7d76d,
        0xb98c3b5b570aa840, 0xfa38e24095a963bf, 0x38008c1dd75d5a36, 0x75bf50b981d01219,
        0x41c36d51c68bdee4, 0xab2ffd3dbd1ac118, 0x03b44a013be180bf, 0x7577edf7d2ed606d,
        0xec8739381949a6b5, 0x167d4179a999f66c, 0xa04b47062dd5b9ed, 0x3a4ad0e3898dfff6,
        0x66c4b69d321b4da2, 0xd46c6d4b5f45e7a0, 0x1a977cfca340bdbf, 0xdf90165a4db81f9f,
        0x667ed6e394042a14, 0x7bb27521f0c07830, 0x749c9a431643bee2, 0x14222b27df8daeca,
        0xd057af74ec4cf234, 0x1391c89108f96851, 0xf344ecb8048c8eed, 0xb119c0d7cb3fac04,
        0x537468e1893bae01, 0x99a4a40e19734a41, 0x66b2d61c9cf6962c, 0x05e4219e825f6f21,
        0x79d841bf6fd434c5, 0x8b93d3d68bb71264, 0x16ce06b37e65ef15, 0xb58c993aff09221a,
    ],
    // i = 34: ln(1 + 34/128)
    [
        0x3c4e0edc55e5cbd3, 0xd50fffc3fd3c2abb, 0x729d78802fedf2af, 0xba112f83ff22f92b,
        0x3c0b46859f9455af, 0x4047eae84c8d98ef, 0xfa583ed9f34e2aee, 0x50d400cdd818c8b2,
        0xa3b99703ac11cdf6, 0x7eb69de0c95c8234, 0x20ad15f8bac1c239, 0xc567f4800ae9c5ce,
        0x9189d4e83761e075, 0xd23518ca916e4eb1, 0x71722320f57d0cce, 0x0a00278293e6c3e7,
        0xcad5aa821f8fa016, 0x6eb8367ba5a780b9, 0x115d08233a143949, 0xc5539832f5c8eda5,
        0xcc69ab896732f495, 0xaa7506c48f887cec, 0x57e805539920437d, 0x5f76212e4f40d8fa,
        0xaec267db81c94019, 0xd69b68ef51101dcc, 0x8c5151214d690225, 0x41617c93c6e1bf65,
        0xe8c6985b9d4b8565, 0x063b6993f8fee37e, 0x723c9bb4a70dc4b8, 0x2ca2fa65ca8ab755,
        0x32940df1f041c953, 0x3c33666de2d60aae, 0x47940a61d8e53f9e, 0x3317c3e2f0ae660f,
        0x5b01225bd5e0cd4e, 0xeb5e788f43e2cc7e, 0xbe78b74826c848f5, 0x683fb4cb519713ac,
        0x988baa8d458c1a2c, 0x1e5763442f84bff4, 0x59668a7ba0c1bf2f, 0x08ee1827643fd42b,
        0xc7d1aa2d067fe6bb, 0xcdfdc391662a81c8, 0x119c3a3d198f0527, 0x888c71c5f7bb86d5,
        0x076e47484ac0bd37, 0xecc488fa27d4e504, 0xc84fe62242b6bb21, 0x8810230add8d7cb2,
        0xd5487f806a83b8a5, 0x9a043e7b46951dd7, 0xd4c047d5fa88ebc3, 0xa6467af8aaa8a5cc,
        0xd9443a75e6df42e0, 0x032f90e5e7f052a9, 0x2b50c6291637f61c, 0x0ffd8b177650389b,
        0x61822b0fca8519d7, 0xcdfc375d09f62a99, 0x464bbc2db74fd34c, 0xc7a0645e8b7c7aa4,
        0xebd9271ccca3627e, 0x8725093952025b6a, 0xd8f994df28b90f07, 0xcb94a03bae7723a2,
        0xf32ce1ade987951a, 0xc187bd76f5cac8ab, 0xa29c0a22cf4f0e34, 0xf36575b262f6c0ca,
        0x713c53cda5996297, 0xb6c38c44dd2b7eef, 0xa5d529cca8bed7fb, 0x559298830c15b661,
        0xe2c76556bb31d598, 0x5294edad7f968d9d, 0xbc16de03259000f7, 0x5eed4b19b68a4a5f,
        0x4f23824b33c8e477, 0x30c785d66f4d72c6, 0xf299c9e1c0e5ef0c, 0x7ba26e4ae2c848ce,
        0x0b5336f092795755, 0xe56b5488cc439de4, 0xc28d1ba81ae4a141, 0xcc4e9eb1eb6e5a27,
        0x13464da8e9d81cb0, 0x68d98b50b7a3b333, 0xb61101cf260deab7, 0x3f34be7e3ae24d9c,
        0x7abcd13c7be51848, 0x539bcb46cba8b305, 0xb8f19610b6661cdb, 0x48ed63679d19d195,
        0x17b74d9868f2f763, 0xa5276a8cb455401c, 0x4aecd6d6bf0c37a3, 0x53130bc27f857946,
        0x0a1a03a925ef9617, 0x2d831841f418e4fd, 0x30d5639c79588d48, 0x31621bfd3630c743,
        0x7dcadd2515e8e66b, 0x9d4bc6bcef4efa3f, 0xebb1beb1d8cc21aa, 0x0f415f8725059a76,
        0x6a7b3937f20d96a0, 0x404a41428c56853e, 0x8357a40c63cfdeca, 0xe487f1aa26c57268,
    ],
    // i = 35: ln(1 + 35/128)
    [
        0x3de15b97b8b26ca4, 0x31bca86e106429f5, 0xa5098683a47c3a3c, 0xa5834a1a19f5f6a3,
        0x4ec45e6782bad112, 0x1f3c6b40e4ebb654, 0x56ed233160784393, 0x51af64df2aa5fc55,
        0xa0926d659db22225, 0x47838a1610675877, 0xcaf05dece2aab182, 0xdddd0ea7c111f7ad,
        0x0e17966d3d83ddd9, 0x089a9e791e4d6e14, 0x3cba4bee152980e9, 0x3fc54ed7ae65e6c1,
        0x2f4fd6020971bb89, 0x08a9b2aacabd8345, 0x58ce4a495bb10a26, 0x30f8271e8789c6c0,
        0x96791121be465095, 0xade66c5239c9cb57, 0xd1cfd2fb02fc0a07, 0x52a2fea213caed78,
        0x9c7488d60c28f1db, 0x8f447ca756a526ad, 0x744a13a989f59124, 0xb76d49bd2cb5c442,
        0x68342ef6f0d0f458, 0x093f92da46246bef, 0xd4231c04cdf78446, 0x6baa70d4c61fb7cc,
        0x5c48ca48d0add49d, 0x35d2e7a0fc8a13a9, 0xd2b84c49030ae3a0, 0x70646904d0fc9e79,
        0xbdbf9818a0f3ddc7, 0xd6d326e3fb6cbaa8, 0x1f6e9bfdc2ce7456, 0xd8741711c527244b,
        0x7afd69fd46a5beb3, 0xfa7a028afe2ca567, 0x8f2e757b51d584d7, 0xbb66050ccb723095,
        0x7ef06ce6f5256898, 0x14330b2584e2e1b0, 0x2f689c4ceae5934c, 0xae16adfc09d3474d,
        0x81674534dec2d60a, 0xfbdd2cadfb9547d0, 0x321a534c56c20b2e, 0x7bb3486ab364d609,
        0xb768a3f28ccd8e05, 0xbcce7fb8eab03222, 0xc7d69b18213a33ae, 0x7644fa44525fb4e3,
        0x94f8611130022e6b, 0x721fe139be64c9aa, 0x63500c78d37acac1, 0x7a204c2880305395,
        0xb23d0d4194f62b6f, 0xb146a80602999f36, 0x4d69ceb940b0207b, 0x590b136b20cb8041,
        0x3dc2ccaaf3c7361f, 0x4b144b68f695b0c7, 0xfd5f912046fa998f, 0xecf3159869059947,
        0x20dd621004d3673f, 0xb62e1066a8ace91c, 0xb54dbb40e99fa1c4, 0x498e01e70aa3b7bf,
        0xe216a44f6738119f, 0x64579ee173bf7b40, 0xba59d0c027d78b3d, 0xd6c34daae502ad68,
        0xbafe7a462d9401f3, 0x1541a67865382345, 0x0d020a73b315380b, 0x3901aab7d4a319d7,
        0x28ea96b878933e6a, 0x8e0399369f84c47b, 0xf4af8e42744d6fa3, 0x7253ce24142faf94,
        0x570841ff2caf1311, 0x41869da8761a0574, 0x2eec84fa8ad03f89, 0x57448baacd8d3b4b,
        0x83964244a13154ac, 0x184471e3a5232c6f, 0xa2145cf9024f6a33, 0x0bc4475a34a7dc61,
        0x1d81c6a18e44703f, 0xef01ebf1d3e2921f, 0xd033c364ddac53ea, 0x060a2275652184ac,
        0xf55af9927d8728f1, 0x69637ecad3012d97, 0x5f18c454a4b6d25a, 0x318d38b2e82e775a,
        0x58962835a818929c, 0x995f33e13bd57539, 0xca736ceaddbc8495, 0x07128a69f01f22e6,
        0x2cc3fc4526fa9538, 0x9356dd02d98da12d, 0x9f91135ad5e57406, 0xf3920f29f1cd238d,
        0x5347291ab71cdf7e, 0xb5d11692e4092ef4, 0xc626c6a4c97e32f2, 0xe7d0908861bd4e13,
    ],
    // i = 36: ln(1 + 36/128)
    [
        0x3f7230dabc7c551a, 0xaa8cd86f29a59412, 0x40584455b22c817b, 0x165f74d56916ddaa,
        0xe9c83e0f6589e221, 0xc716725509140995, 0xc58402fb435a44c6, 0x63a59c53eb00ad03,
        0x9c2c4256987d6ab4, 0x5ef28befa597a520, 0x24b9a3b1f66faf7f, 0x91858558e3f9c129,
        0xde70e498c355fa60, 0x28d3211a3e4dd588, 0x48396d97de27245d, 0xa8c37f5359392d8d,
        0x8b44cf86f0171a8f, 0x6349296be4178b91, 0xaa20da312d4dee31, 0xd24e5e70ef611e33,
        0xc8dc2c3a01fc9c57, 0x58d908fb8e0fb150, 0x9ba4d984588bfea0, 0xf362188123deb398,
        0x44719507c95bee9c, 0x49461317c9b403b8, 0x146367314c955faa, 0x6bd9cd815e629534,
        0xccd6b82b280ca605, 0xfb2867fe11ce5702, 0xebc7b9ced789d9c6, 0x2897972990ccc188,
        0xce3150943e63ff51, 0x60d647662c09e208, 0x3b3ad97c0370c6ff, 0xe152469655745729,
        0x2950f968ef6cebcd, 0x97d970e14d577186, 0xcdfbd01721291b06, 0x7b80c02e5d9b9b74,
        0x00b577c2ae45fdbb, 0x736ab68344c27a29, 0xf3678619192a4768, 0xfb7d344be3807e99,
        0x2062c1803b3ccd2a, 0x0e2f521e3b4227b4, 0xac6e236e3e9394e3, 0x851ff0c791861127,
        0x919b37e35b14dc2a, 0xa50c28205d916a81, 0x8fd2c0fac3d7f085, 0x3951e433cb1535bd,
        0x6616c55eea19dee4, 0x025632ae79093c88, 0x6fcd5445977c75e1, 0x80208eb8f6341a07,
        0x91668102fdc785da, 0x73a6706adea6b4d7, 0xb56ad7320117514d, 0xfd57b4a3e4df6647,
        0x211b907029084537, 0x5d24472b2b698ade, 0x50143a6b30f19eb1, 0x4cf65ab2bef4c735,
        0xeb0af878205a1d1a, 0x0708a8e97319846d, 0x96f82b0b35527383, 0x0cca6150d4d438e4,
        0xb9eccc378caed35c, 0x0121876f414b81ac, 0x2789a6aa7f3526de, 0x0b70b6751bcc87dc,
        0xb9e6e58ad3dab4f7, 0x9915500353dfaeb2, 0x5408f22ed3d2d46e, 0xf7ccaf2b21f9c59b,
        0xbdd840f0f9e84b35, 0x3799c5b6e75db1c2, 0x3a1396b5e82dfbc7, 0x4f2188ae4cdbcb68,
        0xd9ac28afd54e6606, 0xd3384a0229d4e1db, 0x1a11edce1f912250, 0x176b5d695f2f188b,
        0x296a1ce75cd92c48, 0x451afa61f5eb8d99, 0x997e618646ac9f04, 0x2fe8805decdd7004,
        0x95244e5e2ca5cc76, 0xcf1712ab4d609409, 0xc74a505d296619f4, 0x91067c3c86978ce9,
        0x1a35c7b49c743d19, 0xbab40b25ed0075eb, 0x6a734166c6d9a8c9, 0x246e676c216e311a,
        0x942b6759c7ad1f54, 0xf6731d8d79a1281a, 0xe04c6d4d6128e4e2, 0x2c2f6f7bdf4d8594,
        0xc17031a7f9c9320d, 0xd493af8b2973c5a5, 0x9cd425063fe6db80, 0x4c41dbafa595efa0,
        0xcbf0887e806cee35, 0x7b91d9b40fb3f445, 0x5ad75992565f5e4e, 0x8f6ede9d54defef4,
        0x2aa00ceb62aa9960, 0x275bd3b7f3f89dfb, 0x1dbd1869beef8db9, 0x28a524d762d89e7b,
    ],
    // i = 37: ln(1 + 37/128)
    [
        0x41009652d341036b, 0x89ef42d7ee95e444, 0x7660cbc0efa11c83, 0x505da98548270514,
        0x2bcb4cfd6974da47, 0x86dcddc9b133b751, 0x86dfc9f0cff561d8, 0x7a4aaf895409c55c,
        0x246b5b93fc405cc7, 0x7fd6a3debc0d4adf, 0x56c9f345d8e75c2e, 0x1d9a69e875310f03,
        0x30e1df6b087cd350, 0xcdb8ee60f524eb0a, 0xcfe55e530a92b2d6, 0xa8bb699108d83f9e,
        0x3fd1f55bde9c983b, 0xb29b6cc227d48cbc, 0x872cff25d5ab2a61, 0xeb9ce8456ad77e62,
        0x666bc0f0f001c520, 0xa2c21be65e44f702, 0xeb3f8e312fa0f541, 0x1b2f9c639daff622,
        0xb17f17131a5f9963, 0x3d54d9278c09fd92, 0xdaf270b0d6bdf54c, 0x0450599a62df262c,
        0x28de194d8ab911b6, 0x9ad67c382179663e, 0x165cfb5d680f730a, 0x181d5757f948feff,
        0x22f0c29f74eb96a2, 0x50028c2efe95541a, 0x896b31e04358792f, 0xf0f8d9989ac59270,
        0xf68fcf42814f863c, 0xc5c77849a3c69510, 0xb50369261b8915c2, 0xecaa0a269753a005,
        0xe5dd9d8a4c9a8c63, 0xa2622ee945e6fb88, 0x219ff6ff949679e3, 0x496ffc779cbb5415,
        0xe91bfa1531729dce, 0x8138823768f896eb, 0xfbfa3852385598b7, 0x5b0147bb31a736fe,
        0x148fb1f05ee71760, 0x4608b436ee35f6c1, 0xdadba79f43225986, 0x16f73bfb7a313378,
        0x7fbe7c09a0014d8a, 0xc7e13b5aa2344c5c, 0xfd612109ce417279, 0x334d9683ebe95b77,
        0xa535fba6ea89ff1b, 0xc0891e27f52e6054, 0xecf7986ea3843561, 0x5e09127d00b4d977,
        0xe582310c38e4049a, 0x9cf3b9f794f92f5d, 0x494a5dd8430020d1, 0x0cc5c7f457449bb4,
        0x0e315f449ae2ea7c, 0x04d2e8b2594df3b5, 0x67db85583096996f, 0x9eec036e6f495f05,
        0x35b9decbedee3595, 0x116269883f4bc496, 0x9920b333e28a41bb, 0x00a0b8b3d6b84589,
        0x04b4bec7e99b78b8, 0xcae046a517243ff8, 0xe1030b59e8fd3337, 0x1f27544c401203b4,
        0x53c2add6ca555257, 0xc0a35556ff49df1d, 0x40d36e6448f378e1, 0x3572c0bad017efa2,
        0xcff3f230d85950a9, 0x2d53c10db9ff247d, 0x2698fd9ba004afc5, 0x4c7a08bc4c9a6abf,
        0xd13d240179c9fe90, 0x21d349582df0b447, 0x6bec7505d116ee2c, 0xc33a84aff3fcdaac,
        0xf910b01907ab85da, 0x907916904f48ef8c, 0x566c5070f2fe331e, 0xe88c77004e4c42c5,
        0x65199305377cbfc2, 0x6b1168dfcdd87411, 0xc28bcb5104e6b464, 0xfb2824c9e850fb4c,
        0xd01c817b1b71bc95, 0xdde75cb4358e5bc6, 0x5826406465625c7b, 0xcfdacc089549224e,
        0x40ef95fe3831c0d9, 0x537da8994f427813, 0xc5cd8cf0fa0089ab, 0xc387b2692620d63c,
        0x058959f27162ab01, 0xf2b481a009ae9970, 0x16dceb910f22ae08, 0x0da9e08bc9c487aa,
        0x7cd2f46a4bbfbbb3, 0x632b8cc3a8191d98, 0x176b750edd04edf4, 0x02468bffe421a1db,
    ],
    // i = 38: ln(1 + 38/128)
    [
        0x428c9389ce438d7d, 0xcfde8061c030e28d, 0xe035afbe0972de36, 0xdde3a1dc7a329bfb,
        0x154ca7094166ef5c, 0xd18ef4d0bc5a554a, 0xc283489d5d032b5d, 0x5fdd4e11b593b0e7,
        0xd5e2907b6ea09f77, 0x987ce2ed1b9d40fd, 0xa2eca602baa9f050, 0x81153daff5e1ab6b,
        0x394ad1408a18d746, 0x1652ab14443e0c92, 0xa7458acf0923099c, 0xd077accffdf49d24,
        0x387ad48ca4151e34, 0x51252eb0df4a5a2f, 0x5975790810eb1bb2, 0xc3c89becaf834dd8,
        0x9a82d19778fc082a, 0xf65b83dbaa09888c, 0x01f803ede1551c6a, 0xeae221fcc9bd36f9,
        0xb0912fa69cd1c0ac, 0x01b5706713ce4ab5, 0x2e5ee4c7fdc5b43b, 0x5cefd18edf625d7f,
        0x7ab13522de8530ae, 0x65de2ef1b167fa00, 0xc447632569966a7d, 0x10b2741277ccb2c5,
        0x0a0039eedea3b9ae, 0xac75cba2ad3046d6, 0xd7b3df8167e7544a, 0x22604803476233d7,
        0xb9721b71a57d0f19, 0xb00ecb8734ad63f3, 0x2002e40998659c73, 0xdce71d7bee72e0f8,
        0x559d51cd2855a620, 0xa1fa2efec3c4b34e, 0xc38f22cc80920885, 0xec47117953e96e09,
        0x673cf5edf89eb9a4, 0xf1c83ea07a1b0d7a, 0x9a3ca7a8ca903233, 0x8bd3b9199d603926,
        0x6972f2ce521bdad0, 0x70da3f875de2ef8a, 0x58303057c8bc04cd, 0xa6b4fa165842d795,
        0xe7ae2dbeabe1affc, 0x4b69d11b8c8a11c9, 0xf7c1d601ea3d410c, 0x029dc41939e3c3f0,
        0xb7fa2d31b82c7999, 0xd91fefca28c0d40d, 0xf2501997d2f5a4b9, 0xe025f5d6f7bfa95b,
        0x2a07917b58e31814, 0x0159a7fe0f192cec, 0x742c1d02d873742e, 0xd373493aa75d1086,
        0x39d7c17aa2065d0b, 0x2ee6d5c2309faac1, 0xd0e48459fbcb51ca, 0xd2b2574b657f66b9,
        0xff8f586147773117, 0x8056de523e6ee934, 0xf6a19a1dd265ea68, 0xb6619e4388129ca2,
        0xb6cccce3154a9062, 0x2533b0f1c9d3c6aa, 0x04f66828821a0496, 0xc6f414ae913d9063,
        0xcc2baf360e36f456, 0x9bcdff299f78a690, 0xe64b40cbec4ab05b, 0x4e53b4afc2a0b55c,
        0x3842d0ae8b504db6, 0x936019948bb17236, 0xe7c68197caaebdb3, 0xc2d82e912f12e420,
        0xe89ef2fbe1e6fc84, 0x166c76ccf7d9e985, 0xf71518aca5581c3d, 0x3ed746baab67101b,
        0x632997f9b5904bfd, 0xef2588106d2336f4, 0x37bd73869d80fe9b, 0xc7c6408b85bf2835,
        0xdb34cf8a3db41094, 0x89cad3c59b1c05c3, 0x9f30c4f5c742f93d, 0xf9ee3f2b6bd8e525,
        0xe88988b92c60f4ad, 0xd00aa7810245f68d, 0xed489062ff66b718, 0xdb2a3383a7bb0a16,
        0x4710eb4a46292b2c, 0xa470648a6a703e99, 0xbbbba72921087d07, 0xa7edd75a34ed562c,
        0x8f861f6846a61ba2, 0x6fdb044b9710315e, 0x3c066625551ff804, 0x2717be762e3a3657,
        0x477544971c705afd, 0x691bd645e658333e, 0x2b5a1670251d3438, 0x0befbb432cc133f0,
    ],
    // i = 39: ln(1 + 39/128)
    [
        0x44162fe6b92b5462, 0x7e82ad32cc73e14c, 0xe58b9bf13912b4d3, 0xe31965f62e0e2fd5,
        0xeb3fa702515ef682, 0x61dab337c40830ce, 0x2c0c163b9d09ded5, 0xd76ad167b5e7b48f,
        0x59854253eed75208, 0x2dc06fe886c38140, 0x9ae1c3c6a0affd6f, 0x2dca1b28f514a0e8,
        0x1f59b1e77eb60f5b, 0x59f30885e7b374f6, 0x4c7bb37612a5047a, 0x246f3cb9136ebf56,
        0xab1907a0bd8c1204, 0xe2523ddc733e95b7, 0xbc7e13821c8f7594, 0x6d53cbfcf87d6755,
        0x40dbd292ea556970, 0xe1e2f2ff6b6327c1, 0x50843fa6fae15324, 0xbaf1549e1d378c4b,
        0x6994d01b33d2e76f, 0xe852801e6e4a7ee0, 0x59d40f008bae318a, 0xeb9e166153a8d9f8,
        0xcea8d5f29ed75cc1, 0xf729bbc47c842799, 0x2e96fbf8b4bb287b, 0x8521e3b8ea9dfd50,
        0x0453020603429245, 0xc27a0d2b78ddb232, 0xdb116bd4dac6e37e, 0x7efa7046f4160ef6,
        0x2b518c6835caf9d9, 0xd4be0e0f08d9f137, 0xe3e67785c238bd92, 0xe71a8fa6453b5e51,
        0xb726994734426bb9, 0x5fa64f8239e7d93d, 0xe567077697e44f99, 0xa3d3ee8f9fc49d04,
        0x31483a6c333d0bf3, 0x0e76361a4fc1f526, 0xc901f6aabc96ffb8, 0xf1ac79efa3b134a2,
        0xeda6773aaac32fa1, 0x5c541ca1fb86dd94, 0x45a4d0138ec2bf27, 0xccdd014a88f755f0,
        0xceffbaa31282392b, 0x8a56e317e227da64, 0x619d9f44c01ed11a, 0xaf0140c14febd214,
        0x5a647849cc8cdbef, 0xaed1b5825d6c17a0, 0x14734be0f1ffe18e, 0xa0088ab9ebdf6cae,
        0x586e385528146a29, 0x21b0868b8245b18d, 0x832d867236d6bc1d, 0xa41d68f25ef32dcc,
        0xef4c0894513075e5, 0xb2b34e87dafbc697, 0xb290e2f5f505517d, 0x66435970121e9508,
        0x7df75a0c900fc11c, 0x8acb751d25af0a48, 0x9d3d6841453c5340, 0xde7b769bccc7a23f,
        0xb6cc1df1d31cb14b, 0x27fad16dc7ff6ad0, 0x265d91f6fd2b073f, 0x9d56d8bc0a49b24a,
        0x0ffd5929281fec98, 0x01280b7568246067, 0x7938e6c58eaf4918, 0xafabb0004bf9d0bf,
        0xad09c652e2654b7f, 0x328359b80650cf35, 0xe7ad668fb9445071, 0xbe42b59ef66be92c,
        0xf7deda90a12bd76f, 0x2b34506cb5e1f4b2, 0xab1ebf895f00b6a2, 0x4deb496af11b6615,
        0x594ae77db7187a31, 0xc61ee8fa72772c34, 0x314ba8aa8c54a1c3, 0x8a2ddbace3b6e59e,
        0x75eba73dc452961a, 0x21a36471963fc5a1, 0xa189d4a7bc8a7625, 0x04383309ffb8dfcf,
        0x79dde90239031cc8, 0x08a3cf3b194981e9, 0x52bcd914e3bceb37, 0x990592e60b9d30da,
        0xbc47aa1dfb84b92f, 0xe713a2fd5b6b12c6, 0xa31d37e335041be0, 0x79d192e07831cd20,
        0x1ee101372450ba0f, 0xa590b70cfd5357f4, 0xc1417ca49b00cdae, 0x3f358ed37b733eb4,
        0xb56debc916d62ec1, 0x0936dcc1e735c490, 0x5c2f485314e1bd3b, 0x7e1afab8f694f709,
    ],
    // i = 40: ln(1 + 40/128)
    [
        0x459d72aeae98380e, 0x731f55c41b8b823f, 0x067d04a43c19f534, 0xc3c8dc3995940f17,
        0x499727b2dc48152f, 0x8bc0169b4c529944, 0x85bd4ee8794371e8, 0xcfef83501638a398,
        0x9733260f2214fa29, 0xde538cf33d9f216f, 0xf15c1c84f367e943, 0xb74ae4446efb6b72,
        0x2bb0b135963e3236, 0x54536e14552ad70f, 0x3b761ba48ee62377, 0xe00486bd3301f889,
        0x3aa8b63678aedf61, 0xec93ab4b6c3a7803, 0x7e30a059622cf0fb, 0x1dc40f681f5d4383,
        0xdcce18429fb979e3, 0x8b5264da57cacdce, 0x6db1760c00e51956, 0x6f8ba8fb375c2534,
        0xd7211babf9634a0e, 0x96ce885f520c97bd, 0x24f5f4e0bdf73804, 0x8649db8e02518640,
        0x3bfad217b1f1b295, 0x7bd180fa426597c8, 0xd963ae72958daeb3, 0x5ae6b18ceac6c943,
        0x0e42ebabf298b398, 0x69cf285f9b3c372e, 0x293d90f1c67cc941, 0x4d5a946b57427104,
        0x61bf789caecd77e7, 0xe9d28e2bcd606f18, 0x4ffab8336f485072, 0xe39dc411524ab2bc,
        0x207e569a54502c15, 0xf3cfcee14ecc0dd8, 0x07bdc2791ab732e2, 0xd76da74ac629e2fe,
        0x09b89dea9d093d92, 0xdf3cf144ebba47bd, 0x863030c68680f3ac, 0x251a3e879403ee8c,
        0x4cc6d128874e1441, 0x72f1971a30075d0a, 0xd619b7e3be268493, 0x57639dff49fbf67f,
        0xbd63e7b682f4b84b, 0xae4d2d1432e7e0fb, 0x66f8f53a251e1ff6, 0x3e546ae250fca543,
        0xef918fb1ceaae415, 0x32ffacc3dca2f291, 0x2068e812af0e0faa, 0xdd3367a1293cbd6f,
        0x4d9ad03078964362, 0xf8655cd735b3f740, 0xebeed109e2e004f5, 0x30b615bfa7163d92,
        0xd347bf068224a768, 0xcfcbb9db62db8b72, 0xed8d7896f7ad77a8, 0x3a7b8a09b916bfd9,
        0xc924ab5d9818de83, 0x7bb86a7e10afadf6, 0xde91eb16b26d88bf, 0x1b88c1034023e70b,
        0x3af0288cfb77a8f9, 0x840faf752055da67, 0x914f0d8267f1acbf, 0x976b0990d5ff5da0,
        0x1ee80c1e43359c75, 0xea11cc292ece4e11, 0xf6bd296125c198b8, 0x7bf1cd7fdfee3cae,
        0xfe5b0882b99b184d, 0xb740afa171d33c7a, 0xd9bf40ccb6d5f56d, 0x44fa56281680608d,
        0x87f38f0b2235eeec, 0xaca6422a31aa6000, 0x85c8d7945f7b87b7, 0x5fa95b0289b4d676,
        0x21b546ed8f95e34d, 0x71329a90b7e990b8, 0x4225b57bcd585335, 0xefe5a18c73fb2de7,
        0x25cba7a184162df3, 0xab36dece411e0beb, 0xc61d14258c398a5f, 0x183e4be2297f988a,
        0xf2c955444da813b9, 0xbe3bc7963be3b7c2, 0x57b4e9b0362420b4, 0x9f8a7b555c6ead25,
        0x328177f19bfadd4c, 0x8e881b97db0614b1, 0x9a1d31b92deb189f, 0xead7a7813df691a8,
        0x1389ae833df294b4, 0xe19a47fc0a25d1ce, 0xa9f1d8927ebf3237, 0x1e76ec5eede7ec2d,
        0xd7f202e37462d6ab, 0x91c442d67632eef3, 0x04bd1361d32ec716, 0xb14bc8bc857ad705,
    ],
    // i = 41: ln(1 + 41/128)
    [
        0x47226305a667ebef, 0x1a39d500e3bbc33b, 0x882eeb5ecaf5d936, 0x4aacab7bb04fcaa5,
        0x99468d465f4ccf5a, 0xe412447ac91d35ce, 0x8e1fc408b6c78ecb, 0x06f89ca5a0a294d1,
        0x1f64ae37df9fd764, 0xf2c084fd8df80ea0, 0x472ded50762fc623, 0x89aaedff7751c7d9,
        0x72979147acc26913, 0x68ff27d7373c247c, 0x0a6ae54f4ae3a297, 0x7a0738e8cfb04709,
        0xad61f1f87d9e54f8, 0x2dc41708c80d4ca6, 0x1d0c6973e097c16a, 0xa49dbd26de6f3d79,
        0xb5bae437a051d3a8, 0x7acd86659026157a, 0x9a66edd9590a169c, 0x3735c60a5b37cd71,
        0x2bdab9a044539ad3, 0xf1dfcb43c7b8817d, 0x11471803df23bdcc, 0x4a5d57516b4704b8,
        0x8b3d85d69156490c, 0xdba32ab58ad8916b, 0x090d55930cfab70e, 0x07e60f66a280ec74,
        0x88038bfda2600a4e, 0x22fc30c946c3643f, 0xa52a09c79a926d77, 0x1fb5cb0ed1ae9c0c,
        0xd3473875bd594d6c, 0x35f2783a6b40b8d4, 0xcca21c395bf658f9, 0x66e1754b675ee15b,
        0x6842ffeeae638d10, 0xb970b19c633b5796, 0x39cbe3fb74d4dd19, 0x2c17051709245f52,
        0xacdae924a2f56888, 0x12d0c7f22daaa3ca, 0x6a2b8d551423b518, 0x44e37acdc376c80e,
        0x92249cbee2103b8f, 0xf509edc8b97f52d5, 0x845c05b8e348acf5, 0x6d375617f821b4ce,
        0x2f8c2a11a1b1fd75, 0x90647f3963b96758, 0x8b310bed96d49d51, 0x85c89ab1ae4e7cbe,
        0xf96920876476aab9, 0x1ac85e932d2b63b2, 0xbaeed933fa50712f, 0x8a0b5bd67c664bfb,
        0xeaaaac69017df83d, 0x3038df06451d31ee, 0x51a104a8ea5013fa, 0x00848a44401bd536,
        0x003f864fc93abe0e, 0x9d84295a953642ce, 0x6f879ab2371c56b0, 0x5fb5ed69ae8f3a87,
        0xa295d8f1f0be2bb7, 0x2d42d88231775d6c, 0x669c51efd2eb1638, 0xadad0991b61262eb,
        0xefb8657f9905e9f8, 0xb8aedb3da729b3af, 0xd2ff1278deb0f3cc, 0xd3348dd17ec9d7a8,
        0xfbd577740bb4953b, 0x98d4b872015a42ea, 0x7a955b89c2696c06, 0xc4b02b356f0050fa,
        0xabd77517cf07ba11, 0x7b167cf4360de51e, 0x9c0479cb31c63c8c, 0x1f49b7c6ae075352,
        0xc97060175266ace7, 0x1c5d5a9c1f0dbb47, 0x5d91a71edde150be, 0x28ff8615d78dabcb,
        0x62a05cce837ba904, 0xecc59692f767256d, 0x410a3fb7fc43ac2e, 0x0e6ff4cd6ddbaad4,
        0x71c329350cc38a04, 0xd3f507289a9bd134, 0x4d7d4d879e423394, 0x31a9dac8405cb0c9,
        0x4f2b44365ad6c2cf, 0x7c35c8bd2dc32fe9, 0xafbc5482376d63aa, 0x0ff8fc96fb56aa5f,
        0xc14d080c910d711a, 0xa9a13b52bafa46cc, 0x9068f3e34f1fffd5, 0xd16727490cb66320,
        0xc86563bbf06f247a, 0xa45882df6fbe50f6, 0x6c3f226fa5a24b44, 0xac8c98325b7a106c,
        0x4445d173231dee4e, 0x523442b20f1d7466, 0x077184889ee5f898, 0xe03eaecab9097f49,
    ],
    // i = 42: ln(1 + 42/128)
    [
        0x48a507ef3de59689, 0x0a14f69d750cbd2e, 0x9aad37a78762e747, 0xe27652fffbb65f90,
        0x030583695b634bb0, 0xc18a58e85648c138, 0x83ed51dda8306d3e, 0x13fb881e4f3def00,
        0x8ded7da522883c57, 0x69fc651f52b0fccc, 0x5cc0ed538afe18aa, 0xa7a1361ed4490c65,
        0x60c716ab4d5e4b23, 0x950a032a0343a260, 0x4bee3a4582ac80ba, 0x84519e10c431ec8d,
        0xd6d64301563abbe2, 0x14264e7cb8c455c3, 0x89725c1f70b99758, 0xb638c284acfe45cd,
        0xd3c0e9faa8839d54, 0x57b238dd1c575d62, 0xf26a917a0a82c7d0, 0x08e779719f8e766a,
        0x7a6831902e4f9cde, 0x6439d40bf2e0fd78, 0x7d51c67d4889bfa0, 0x34de40f023a042da,
        0x85ae1c45092ae784, 0x5614900b0f62ce90, 0xcdbfd966e4f0f640, 0xe378e5f4f1f0d460,
        0x96223af4bad13231, 0x58db105672e53904, 0xab1d653298f6668d, 0x7738fe285ab85eb2,
        0xc97d7948219313fc, 0x0dc44a54cc0b0ea7, 0x73590529e3d30550, 0xdef05e5a34a2354a,
        0x45c94bc2f161ac42, 0xdc3a64f64a38823c, 0xae11b8c2525d9fd3, 0x7ff5f4cb4a37a12b,
        0xb58c4373b1315c44, 0x2fe1e0e6509e8819, 0xa1bf14767580ee40, 0x0e0cfcc6832e40f2,
        0x3aee6e2573878b13, 0xdcc2c59ca9b30f47, 0x79553447311b1c42, 0xa23800f4da928067,
        0x41abcbfc59f0f253, 0x94d46ebc0a66b7fc, 0x944f4dce87891052, 0x8467a9345a1e7370,
        0x720b9bc43b2cb43d, 0x0bc32425a4cfe9e2, 0xdfaa2e73a6ee34e6, 0x42646602061977f1,
        0x946f45bc0c5685f7, 0x4b41bb44f54b76bc, 0xe43ca0df87a585d1, 0xcf01b3eea2ec8c3e,
        0x08b3d7dbc1e9f85f, 0xa48b1dbd6f0883a3, 0x68b9ac47179f1b43, 0xd398641bc5af71c0,
        0x53dcf2aa9cad7ea9, 0x962fc82f85b50941, 0x9d68eafdd4e95638, 0x1a5c271c423df9d7,
        0xbb1bce6d3166841a, 0x1b8e73b3b43fee4f, 0x29014e8e85f8d836, 0xa8175f0f7c8155b0,
        0xe94b3f4c087aa0c2, 0x261242911e3ea72b, 0xc691dc729e513258, 0xa105b594c855a81c,
        0x481651ec8dc80422, 0x797ae8d40357c552, 0xcf5012a4a3108cdf, 0xc7cd967a678e62be,
        0xb9f28d68fef610a9, 0xc60656b36d2d75e0, 0x2907f5794824edad, 0x84b8c59aace07e6f,
        0x73cd4dbed62e8dca, 0x89b128eade4716df, 0x59c891fc24ba2aba, 0x133856997a5fb168,
        0x22609d483893c4fb, 0x5a05e5389454fe05, 0xf4a71d85b08d7a83, 0xb72e0cbeb0498451,
        0x91f973bd6d34190a, 0x6a5908e7fcbe501d, 0xe68fef05d05722d3, 0xff799a0a1fb5294b,
        0x8bffa7052675821a, 0xa826457de9f95d3c, 0x775b725620d43d65, 0x91d478c503c6666a,
        0xd2fa30cfd5dcdeb6, 0xdf8a220e61bdd146, 0x6146e5e88d5f0954, 0xe7464b51115ed731,
        0x2064cf1dddd9f350, 0x9ce054187eaa75fb, 0xbe80082f44437160, 0x5dbd74280635e8c6,
    ],
    // i = 43: ln(1 + 43/128)
    [
        0x4a25684f7a1a8d7a, 0xd24c13f040e58b5a, 0x8eab2f9615eadf89, 0x9db59698d8b9a5b3,
        0x8bc0a13fd1fd3cd1, 0x37f84239db87f307, 0x48dad606b23188ec, 0xd5e2494ee769ec0e,
        0xa606c295fb55bb80, 0x7260b80e2bc01bb9, 0x9598d1d0076baac9, 0xfa90499a8015d04e,
        0x5e5efa4ae8afe3f2, 0x7756be049d3bc803, 0x8ce3d4e2aad5d782, 0xea3f770eb9beeb05,
        0xcd9d138866f00855, 0x5913b3df9a005f9b, 0x7940a7f08752128b, 0x9bc1521f59437a2f,
        0xd744f52b244f1e97, 0xd4752f93b9fc2496, 0x4c7f9ee0be00d087, 0x78e245fdf451f91a,
        0x4b693b45722711a0, 0xbb57d047173ad8b1, 0x6714cd08a6bdcb8e, 0x1b747695bb537ff9,
        0x92e230594da0112f, 0x09c0b7ad0a45660a, 0x3227d10b61ecdbcc, 0x86c5872f4dd52061,
        0x2f38d0272dd60f92, 0x7dce938a92102503, 0xfb0dccc7a69c1f13, 0xcace80d9754cce05,
        0x088998224a924e52, 0x706ed1b9b1a094d9, 0xbf7b9de00bd90136, 0x8b828d2ad86b9f78,
        0x0e503942171b2df6, 0x5de65d07615a5640, 0x5be9be0cd25e2c13, 0x7f3cd455c47b2ff7,
        0x7561b2f78608c213, 0xe0f46c147f300da0, 0x2fd6c003724d1b52, 0x56938a74d9706e83,
        0xe76df9ba9a4e0c09, 0xc1e3cab0b2fe328e, 0x74f8276ddeb7b165, 0xb418ee83272bcb4a,
        0x5633fecd9fab7472, 0x4381c5aac4f0b241, 0xc35770a32ef90d5b, 0xc3cedc9c162b2558,
        0x9a10b7e1d3338472, 0x5106ea80c9ed31c4, 0xfe8a25d3ff8c25a7, 0x092beaab1ec87d1d,
        0xa59ab136c4cc8a33, 0xcd0db387ccb34853, 0xa6f177e7cbb91e8c, 0x10a1291f989aa1af,
        0xdb75830c9dbd2b16, 0x779758a434301031, 0xb5c20c27fed0f22f, 0xf5aa031727560d5b,
        0xb330427dc580b257, 0xece1bf1adbbb5636, 0x5720aaf0a88b269f, 0x46a8c78fbbbe558e,
        0xe2b2d3a81e72e95d, 0xf77ef4e4e26e43f9, 0x171e87c2e21d0116, 0xcfc0a7e6f7cf8f02,
        0x8bbeef05d5789fd8, 0xb763a907fc4ab20a, 0x89a637155691d98f, 0x164cad9aec07d407,
        0x44b91f09723d1d32, 0x5dcd30450ad95d6e, 0xc9b98ddac417e4fb, 0xfd3083d2caf59dc6,
        0x9312426cc0e9df60, 0xc939848381074514, 0x99bf24b681c2ecbb, 0xa385a1b3615e5cf2,
        0x66409ce093939222, 0x1cc8b55accc74c85, 0x99cb6659ee1d4923, 0x80107f6618a575cc,
        0x2c57a2ba6eec199e, 0xb6a59895d43bce02, 0x4c37e96cc64f4b6a, 0x4b26fc68689e66e7,
        0x12acebaff04c6600, 0xb8a1ab8b5c7736af, 0x476b2b29250f009d, 0xa6d092e5abdb8bb9,
        0x2e3da0011739dd57, 0x10aae8f6e109b012, 0x7221f60de3a91ca8, 0xec154e85f65e7844,
        0x2aa6dc883fc3d9a7, 0x264c8765ca3b2909, 0x515e25ae04e695a6, 0xf7f1256f7eb3d5dc,
        0x7941e0b9e3b17eaa, 0x6634dc9911c04c55, 0x4f08f426a1920396, 0x76bee67c269c751c,
    ],
    // i = 44: ln(1 + 44/128)
    [
        0x4ba38aeb8474c270, 0xb3246a14206cf37b, 0x77ad6fb226f15213, 0x4cf267553164478e,
        0xf5fc616e20cd5936, 0x3f7d530e8d291024, 0x519f62aaff797e15, 0x53c8ac43a3830fa5,
        0x49361936cac6b8b4, 0x1f85c6f17ebe01ee, 0x16ca0ea30e1e896f, 0x8d7338b0e7ca878e,
        0xfc108b85ec9786d3, 0x57858cfc8eb79992, 0xa70524cffac38038, 0xbf14040556548f5a,
        0x51255aa41bc9473e, 0x9f673ead6623566d, 0x725cf347e84e95f3, 0x126ab045c8e9bd28,
        0xd605469ddb7ee0c8, 0xc5b92fdf751ceac2, 0x0f2347b0ca71cbf0, 0xcf645102767ce498,
        0xbae014511327cb42, 0xbd5ea8fbd77fe56f, 0xdafd513d40679b49, 0x3480816c49fa6233,
        0x3186234dc85dabb9, 0xc08c44892aa8b45c, 0x85b677c06143c1ef, 0x7000e7b6867893f0,
        0x36a89942c288316b, 0xc1594f22bd8d5b21, 0x9eed2c7ee9e94d0c, 0x4f4fa24acbf64eef,
        0xb06ffcb6c7c05c1f, 0xc61a28ab277b499e, 0xc78b0c4f029be484, 0x55b497a4a79cf4b6,
        0x579325f84413f2fc, 0xeb7d32cf0cdc9a51, 0x5172b1f55b8496f6, 0xb24d6c2c2d104dbf,
        0x0812d7d9e5fc4548, 0xc8a12dd295577e60, 0x16e210eb722f0ad7, 0x0f26144b9f60e612,
        0xa8d3c3fb2a15421e, 0x05dd8267902854bb, 0x4af2159d25ef48c2, 0x61c11258ae00a625,
        0xe6bae41a82c0e49c, 0x1ac16cca4a935e33, 0x825eaab4ce4e0c53, 0x743d2c1aaff2b441,
        0xfdecafdd0bfbc590, 0xb8509493b85834f8, 0xeb238cccb685d840, 0xca8c09d5c81dbe77,
        0x39862d51d31669f6, 0x6e61c067a83b791b, 0x6c0c810992647eef, 0x15eda691247b56cf,
        0xb7584b1f2ad242ce, 0xad21657905443e68, 0xdfa02307fba695be, 0x9fbb6f3ee9f6a21a,
        0x4c9c0a051629b65e, 0x4a5cf0918806d5df, 0x8481c7ac564e2260, 0xf96e9f6d9ae9d495,
        0x77af8d3f97e9e984, 0x5c4721506f2cd8b9, 0x057007a502c2ea41, 0x655ee0d522b60ed9,
        0x9b668cd4892508f9, 0x287e68db002649ed, 0xe57fd9899e8ed9b9, 0x64b37c34480b9fba,
        0x99b1f05a4455953b, 0x0632b0a0be1a3f9a, 0xbe2132b7940ca071, 0xff1889120750b0a0,
        0xa1411cec06311ef4, 0xd32370c7e1ec080e, 0x627d5d0e9329fe6a, 0x27c0481bb39130cc,
        0x6e5b9b3dee483694, 0x91cd4bcc5c50b089, 0xa374c056b8a3bc61, 0x84444f28e11b6f8f,
        0x39e94deb4633d580, 0xc6eed8c33c455fb3, 0xad5554ada219a442, 0x1f9d584e119cc827,
        0x7cf3e96ee200c4e0, 0x0cde8ac619413ab6, 0x6f590e6b2c79e38d, 0x8156febb422f5d13,
        0x4b4e728b6a7817b5, 0xcf66febf65c5afa1, 0xdccd1d59a8a41520, 0xa46f3bb009cb36d1,
        0xd3a183830728e61e, 0x4b6aeda7c11dbf95, 0xf1095ee75cf9b988, 0x8142b0db1cc38bb9,
        0xbb036bea629c56c2, 0xf0bec2ca0182ec98, 0x9e99ec128f8a6bb9, 0x538b5903f9be22eb,
    ],
    // i = 45: ln(1 + 45/128)
    [
        0x4d1f766a61f55359, 0x159d3fb73043dca2, 0x14b0167661deaff0, 0x7944fcf1ccdd5195,
        0x8bec4a7d589a72d3, 0x5ee0ecb5ae0ffe68, 0x0957c91755731574, 0x58defae2c2614cde,
        0xd904953e93a1621b, 0x2486bed31c479cf3, 0xd615a1c499adb354, 0x5545300d6413fe93,
        0x632b24b41a63b679, 0x97e6db78252a30cf, 0xc11152802bef5f6b, 0xf0dc9aa47fc6ee98,
        0xe9f03d994d85c349, 0xe30d66b474c10126, 0xa3512009dee39100, 0x3de9b9664b5ad222,
        0xe41a4a7496640e95, 0xd2b4d254e349116f, 0xc2d91d127e13e4f0, 0xb731f466adca730d,
        0x71b50159c7bf91ab, 0x8758940ccd25fed0, 0x9235b1c02b301069, 0xa16c3ce9a0ed8b17,
        0x83d2514f018d7dfb, 0xf787393bc6b0c3f6, 0xf8a6fb336c51c2e8, 0x159b760bf9006ec1,
        0x36357ca88aa5b5fb, 0x19eabfabf9e070b7, 0xdc42ea4c3691e0b5, 0xf946925c9b9bbccb,
        0xa672ee8f27d2be95, 0xb524dfa375d00c7f, 0x5a5939400f9e4aed, 0xb0f68b9bff13ca84,
        0xa54ee3b5f2cfe18d, 0xc620884261fbdf33, 0xb477a51c129f6ab8, 0x92503ff4ead5b691,
        0xedc8448c9fb70a66, 0x5e51b66064b314b2, 0xb0111c5b9b6da85e, 0x897d2cc41cfeb6a6,
        0x7cc32902cae29bde, 0xf16b8286a1a8777f, 0x1f8cc91a45270f5e, 0x02e9230b38b9d41a,
        0x2cf7bf9a9a8c37b3, 0xfc873809152803ae, 0x517f3a910a41c27c, 0xec1f17126a36aa48,
        0x76ba33f7830d575a, 0x5f0eeb178cc40553, 0xe639aa32a6fb1ebb, 0x205993824eb2dafa,
        0xf5c42532c2fae3c8, 0x1570a5a6d96e60e2, 0x74a5f1d2873cc24e, 0x168210cfea23a962,
        0x4bc9f5c4c0a98c0a, 0x1d0cf65bf4f70e28, 0x86aa5c3f0358d090, 0xd57f5a71ba53bdb5,
        0x422219191b682655, 0xfe8bf2bff7f5e8bf, 0x230f7e7077e6bc64, 0x151b7efba6395910,
        0x6dce924ae7e7e68f, 0x25a2acd99263cfe8, 0xf324a91d6536d0f2, 0xd8582d68418232fe,
        0x76a23af26b9383c0, 0xe13ca6d32f5ae3cd, 0x42e3d9b2270d8a86, 0xc4211d820ce71898,
        0xc62d7b20241b9746, 0x8f528e25c6a5f6a3, 0xbec1fc24a52ae22f, 0xd4a77055a859e43b,
        0x3e351e16ac2d86d7, 0xb0bb94ff98d80139, 0x412d9384b1562ca7, 0x30a0ca8307bcb389,
        0xd78cf1fdb8ea6cbf, 0x868ec139d46f952b, 0xf9763f2573c36a21, 0xf707c632ccae597e,
        0x37d8e1aa92bce61f, 0x65e0da58f700df88, 0x47d55564ddb140d6, 0xa9ae5b36e9d226cd,
        0x631c6de22a5b1831, 0x11d7dce5204fe9c1, 0x5aaf39855b669fb6, 0xaa7239e111c8f232,
        0x2770aa7c0f65f02a, 0x6873cf524795d057, 0x88a3f48895a06c6d, 0x337e022aad795486,
        0xcf3b6112402f21fc, 0x68628fbc6436b9cf, 0xda42816e2c90a47c, 0x8965ce36260f4757,
        0x73e2ee014c6aaaa7, 0x4e2cdcee441ac040, 0x9ee0b93e0c1af27e, 0x82476b0293fe761b,
    ],
    // i = 46: ln(1 + 46/128)
    [
        0x4e993155a517a71c, 0xbcd735d034237d6f, 0x479dcfc053c8dc26, 0x69bfc8cf9d61357a,
        0xaee32a4918383eba, 0x2ce6ff8dc01a5b18, 0xcd553bc96ae2a114, 0x5bae293400562cdb,
        0x7bc6ddbdf39df76b, 0x9a0f07f8cba8484c, 0x59f30d38f9424e23, 0x10fc43d22360b3f9,
        0x702a190a704a58c1, 0x7759747224d5d7ca, 0xbb6b90eb6d2520aa, 0xaf142cbf71e94e5d,
        0x58fe8cb8427f675e, 0x890b2ad82ff4ad11, 0xcb94385c39d1edd6, 0x20a112cac5190dc2,
        0xf25faeab646afdc7, 0x2b3da578f5cb894a, 0x53a08e8c4cb511bf, 0xb2244c090b598990,
        0xa254de73ad08affd, 0xf2972c23f1d7dfab, 0x89b302943820e8a7, 0xf282064824f9e183,
        0x5dfcc3c8ed41c296, 0x18bbd571a63e0b33, 0xff4b44d50569e014, 0xd3c3c6fae9a16732,
        0x4d155b0487088521, 0x5ca0ff7b7e130b67, 0xd9c4ca8051ec5336, 0x16a53dfda1186fe8,
        0xe1e6f50c2bc766fe, 0x1c37e1fc64b4314d, 0x052e8603801e42ae, 0xd92633b0300966a3,
        0x8d96fe9eaeec55db, 0x15eaa27d0f4c7f8c, 0x07177f16806e8399, 0x8c35c35afe46c140,
        0xd54885599a6a8dd8, 0xe3bd19333971ad55, 0x0ee23842c9f2bd6d, 0xe651bfb9c4162472,
        0xf47ff01974b0cc51, 0xc1290a4e229ae6f9, 0x4aca70356d79bedb, 0xc6d78ca5f6589110,
        0x04331617cd5756b0, 0x3563567c49168ec4, 0x07a0e883a82dcd2d, 0x868d2ee813625886,
        0x630c48650eb499e3, 0x19fc0577d209348d, 0xb89203fc3c072e70, 0x34c6120fa037195f,
        0x6ddda8f0231ad2ef, 0xe1c7360a45da5654, 0x8d6aa015e0bd2111, 0x5ddfb31e69c2a23d,
        0x322612d21244efbc, 0x4cf6986180dbc255, 0x5d6b2947e627e3f6, 0xcfef30fb37031567,
        0x6275bf3f31cf4395, 0x9a9bd172c4e4d4b2, 0x1f6544fc693058c3, 0x54f721977df49d2b,
        0x1c73829e2d491d21, 0x94e273ba4de9af0e, 0xc79d2aa009e5aa85, 0xf4a00d13c2fc7bea,
        0x4bfacd4ebf9d7e4f, 0xf4e3361e734cc8c4, 0x970dfccd681898c3, 0x162ed9c1ea1eb099,
        0x39503f35cd5b36a9, 0x19d0785265ad8cf5, 0x242302f4ab78a096, 0x012fcd96b832a551,
        0x72fe11472fcaf82f, 0x1bf4f42be6160521, 0x061d71e1bd19b74b, 0x7a5e454fd8429784,
        0x600662c13dae9659, 0xbe5b1200ec0b65dc, 0x93580ec2383bc44f, 0xc992d605bbc1b4c7,
        0xf47a6080ef4dab2b, 0x954f9748380b75a4, 0xb2867bf234cd760e, 0x35d8266e422cd08c,
        0x78777631619e8c3e, 0x5f4d4409da4ec419, 0x926ce9f38a88aa6b, 0x7bde4dce950452d3,
        0x4e0345da369a5b5a, 0xb47157b99aac244e, 0x548822abaa3753a2, 0x079eccd50485fda5,
        0x96d6c325436258cf, 0x0bd1cae2436cb2c7, 0x9fc0d396c4714070, 0x6fe693c0df241d7b,
        0x82c5de6dc9ae090b, 0xdf075dfb93275c4c, 0x8a221c08243afe64, 0x475dc7f55f9223c5,
    ],
    // i = 47: ln(1 + 47/128)
    [
        0x5010c21a1a9f8ef4, 0x3049f7d319298564, 0x1827d9d91a2da0d4, 0xf2206c9599756243,
        0xc9dd6cfc3727a0cb, 0xf2e9de8134cdee5b, 0xe488f3969ce225ca, 0x187f46b1c62bfb2d,
        0x98d863d2ac8e269e, 0xc34e1228d062218a, 0xabf258111a743f07, 0x5da92b71fbd37072,
        0x704d64d22455e51e, 0x1632207de75adf07, 0x24717bac4ea0291c, 0x08514ed04318a617,
        0x2678a87678cc88f6, 0xc0bd80d02cb6b5ff, 0x509cb83a6941739b, 0xd7ac878a9e8e66d1,
        0xf2cc1b43238f223a, 0xb02eab50d2eac7a2, 0x4884c2923497fb0c, 0xa546a0d81d56b30a,
        0xa83f7373e2564091, 0xae74b7b317bbd054, 0x166ac11b6693b4dc, 0xb06c8e9d750f85f4,
        0xb2dc556c3b06f8c2, 0x6a55530b02a489f7, 0xf70ff9a6fc2f01a5, 0xc9b38d407b6855db,
        0xc95c064f1d2ed8e5, 0xea7770e016b5c135, 0xb60ef60f73846f75, 0xc7b4ade74a3b49cc,
        0xfc13cba6d446b34a, 0x68c254622e5ad988, 0x6c304cd8f1a0b9bd, 0x07f433723725f9a3,
        0xea579fb34dd4597f, 0x589aa0d2eeca5c05, 0x41f287e2e81d8193, 0x40b4dc1116c71f1e,
        0xc40aca0f9aa25d36, 0x4d2409fa4fb78776, 0x3c44cfff893ff874, 0xe1e41b2b25c00cf6,
        0x3f6955a2a9e371d7, 0x944dc32d06dac4d2, 0x600a7b0dcd89ca67, 0xfd9961a2da75dbf5,
        0x38da68f99542f9a2, 0x1d13dcaf95e880aa, 0xc8162c606643e813, 0x53d178314061a5bd,
        0xed44bbf06db7fb30, 0x3abdc3c7be454275, 0x3b87fabb8ce887d3, 0xc6e6c4b21fd3d8c5,
        0x4bc7ced3d2fc9f5f, 0x260b520a0a9d66f7, 0x401eb5294bfa9dda, 0xda1abd873ec7f4b2,
        0x0d3775e09980fd77, 0x9e6bce196fb932d0, 0x08a5f5e29b0863b3, 0xe0b83c1a207276ce,
        0xd2e938ea1830973b, 0x5c30c00b2ec92a32, 0x4778adaea8e6a66b, 0xd20690f85390e8c7,
        0x1e87881bc9d40745, 0x659d1a49694b15c7, 0x288a74060c7aa988, 0xb617607450f40097,
        0x1b5e38c9eeba61dc, 0x9d2996c213205513, 0x10d04c9af4c4343c, 0x4e58bd167ed9bc7a,
        0x877745d22e20fa25, 0x4e5bb1cfa805f916, 0xd02f8fe0c19fb610, 0xc360db3c5625b702,
        0xbee603496352cb5c, 0x844ebc98a85b2f32, 0x99c587025e04f1e5, 0x62beb77e34e1872f,
        0x7cea39b96a126390, 0xe59dac482cc83587, 0xf2e37e9f2e32eb18, 0xe9a49eddcaa6c837,
        0x5230e4225768cbdd, 0x01b3e19c19fa1afe, 0x443e40aadb2e382f, 0xde1061b8d71c57f2,
        0x12d693fc26201517, 0x0b0d3061fb1457fd, 0x2c73705a8528a62c, 0x6fc35bf886a28409,
        0xe6fd24542c8c97a5, 0x5b873294d446bdd7, 0x4fe7e7402ab2a340, 0x8682d908f1f73f5c,
        0x5a6855a24271e9d9, 0x98e7d4abcc7146cf, 0xd4f0074302bf2989, 0x877373f2ca3afc04,
        0x1c1993d058fc0fca, 0x9a225626f04c7e9f, 0xe42136b59081ab09, 0xbcd581a521f49147,
    ],
    // i = 48: ln(1 + 48/128)
    [
        0x51862f08717b09f4, 0x2decdeccf1cd1057, 0x72cd24c00b44393c, 0xb5eeb55ca973fc98,
        0xaf120d6ebba85f7d, 0xb092567e72ff7a30, 0x14e48b957336c01f, 0x81891c558f613c57,
        0xf5d8d6965f0fd381, 0xe487dc93f388281e, 0x1bb894336ba62085, 0x69c032dcc8436028,
        0x74b377b2140597e3, 0x7b6d958f838f961e, 0x6a34c9849a6f0420, 0x07605ca7cd2654d1,
        0xdfd70ecf918ee64c, 0xf744b9cf8d70f1e1, 0xf309b7839b61121b, 0x43f4dc189413c082,
        0xb496a0fa9e463976, 0x62b90fee18003e8d, 0x5011f98821403f6a, 0x0f8c5b86c16fe031,
        0x10c0ab09a293cee5, 0xdbae9a06825179bb, 0x2f6cf9a75ca7f4ba, 0xb9cc73f044b8c1d6,
        0xdb7a32df57aa7b81, 0xacca9acf1f127303, 0x5e93f836bce50c92, 0xa7cdf8de191d6455,
        0xa5b23b80126139cb, 0xb68149ead280e810, 0xfd87291e5f645447, 0x86581d1a5333a1ed,
        0xb86d42301b25d2b1, 0x9668cced0276e6e7, 0x82d72e764ac58797, 0x1d0985b1cb9b8391,
        0xe0289859f08b14d2, 0x3c408965072fc167, 0x33878157c3ffb31b, 0xb461dec46bcb18f1,
        0xaebc4efa03f03924, 0x9e7616bb7fecfb22, 0xf2da2ba5281db524, 0xa97fe7e56df11bbc,
        0x4e41fbe0e142c0e1, 0x87425856e516b51b, 0x869112f61839fec5, 0x66aed69bc2e6cb15,
        0x574e1cb025fc64c3, 0x3c17cf28ff4106cd, 0x357ac4e1e44de1b0, 0x9c02ab7e9c682b3c,
        0x178f140a53c9ac43, 0x614370b2cc5280b4, 0x0a3b8cf0861a4272, 0x7b0c2f06a43307fe,
        0x558dbe5106ccf9d2, 0xfcbc34248a42c9d0, 0x60f4c53453d972f4, 0xf30efb990953bd9c,
        0xba3eefd8d109e9c8, 0x9b0167e536a1c6bd, 0x7a6b0c7e2df9defe, 0xf87f575523ed8774,
        0xa550d48c708d4506, 0x5a1e1e4dfdc42cbb, 0x9c5d9ae06118ee9e, 0xec7a530a0612cb86,
        0xf6064676201c7fa5, 0xf12bbeb55ae25df0, 0xf5f885e32c971bd7, 0x650cf09f52b16054,
        0x23a70ee3d39c4c92, 0x77ab4931d2fae4d4, 0x0413ee4beffc7eca, 0x1d9d07d5b56ac1ba,
        0x130b9ab96e3707f5, 0x7c6efb2333dbd31b, 0xccad0bc0fe9f04c5, 0x22aa6b9e9845e36e,
        0x034bb28533ca39ba, 0x8532ffd381a7c6a7, 0x612ca062f4b34581, 0xb747bc84b9a7a424,
        0x40352037016606b3, 0x5a548a6d6080e675, 0x47a5832abba8711b, 0xd5127da17b3bec39,
        0x5538d20f6e235c2f, 0x896c9fbbeaa489bb, 0x62ce16f8999796c4, 0xc7eb42edd4ab3a2f,
        0x8ce45d7cb11bece2, 0x20391f2a40bf0b5b, 0x58a4b46032177bdf, 0x654d5e98a32336ab,
        0x86de4e83642c2104, 0x86c23e20809e6f47, 0x68e285bf0ddc0a0b, 0x4026bc96ade2fae2,
        0x6b81b89e4d7e2aa2, 0x16135b0964caa785, 0x246b4e207e885bf1, 0xd1eed4999041e605,
        0xa528c002d2ee1466, 0x4524d04d82d12c4c, 0xbd05e0aaf5db8319, 0xd2aa0d01e3d69892,
    ],
    // i = 49: ln(1 + 49/128)
    [
        0x52f97e55dde2836d, 0x326527dbf6191eb9, 0x53458673d2f053f5, 0x6b6568785b6423f7,
        0x973e059be66f28fb, 0x4dc65b36ab6cfc39, 0xb5f790cbfdccd96a, 0x031e755c364f586a,
        0x0f911433d635c24d, 0x4546f9ba28a293d3, 0xb51501da4f07b648, 0xe075609c9cc32238,
        0x302606d805abc30d, 0xaab9601aac7ea57f, 0xf95b647631b841b5, 0xedcd9a1fc5316557,
        0x6e04bab90a603d56, 0xe3c21d515df461ed, 0xf6fbb1d5954f92bb, 0x0f007d2e6bf0bce2,
        0x14626577e5a11cf5, 0x3eef20a2cc34ef66, 0xbd8590e9c38fce66, 0x4a3aa912052ebab0,
        0xbd16b5edd9aac740, 0x26d89f50a2b12a39, 0xda65704442da9a13, 0x8795c386c8290ee3,
        0x9cc95c25ccc2d531, 0xd22e017212811cf5, 0x5aa785695082dbab, 0x4095d859bc48441e,
        0x2b050b2c32c1ae18, 0xe5cb5693664a30f5, 0x6e7e187a909134c1, 0x8780cd8b3818c05b,
        0x4d21e4100f76dd28, 0x85af00b2f7b67002, 0xcc9b803102ed0d2b, 0x8f00b692ca3242f1,
        0xf68a6d41c679dd27, 0x5881e92ca67f41ab, 0x921ddeac2f25c70d, 0xad65b8042e7c5987,
        0xfc319217e2f8e310, 0x3b6872bece324b54, 0xdd4574dba68e6e38, 0xdc9bed6b770ac27e,
        0x195cff13dbb6aa43, 0x71997ac2449f804e, 0xf7f35999e8522c16, 0x9cb586d00832f6be,
        0xc29a4d96c3ab3fc9, 0xff580529b541c027, 0xa1114c456e26acb5, 0x23b57521a2996c4e,
        0xed674c92fcf972ac, 0xe066a01527b40ac9, 0x61be25327335d496, 0xa24875fdb58270a7,
        0x87c18cd1a97d4651, 0x58ad9e3141b17946, 0xbbc042f78504559b, 0xc631c423e2153e19,
        0x87e2754a7e447723, 0x105134e627f05e6b, 0x867a8b9ca6f6631c, 0xa6afa2b67d401668,
        0xdf82c2d1c72b8a4e, 0xf0f22daf4085f08a, 0xf5be4e9343e5ddec, 0x26eb2c627e4b19bb,
        0x5e6d92fcc2fbeff7, 0x93a300433b293a0c, 0xae29439154d77988, 0xa60595e97ea37f07,
        0x050a3aa38b876609, 0xbb10d781079ecc9f, 0xfee1895a4ee424a7, 0x9f6ed3b864862c17,
        0xe240195e14fda81a, 0x0937697b851a625f, 0xad7bb5625b0ba273, 0x115aaaa6961febdc,
        0x91cfec10fc94e38d, 0xa4453b639084c3af, 0x8a6d60cc769d69e8, 0xfa07a32a9201cf21,
        0xb5c3a9d5061ef4ae, 0x10a5b92ff4cafc67, 0xba65eaa69c189a4a, 0xbd58b8cd4200f23e,
        0x2ca63f9cc59464c8, 0x11ffca4ef7149891, 0x7a690fe8171c16b0, 0xe0e69e9ee1220971,
        0x722a809889b8dbcc, 0x21b670a60915e308, 0x06770f0aaf39e261, 0x127a9f99846b8647,
        0xa51ae1df61da3d82, 0xc0c7be25141ab9e5, 0x492656772428ae96, 0x3011e6648a090ce7,
        0x4cd8a9274b28a0d2, 0xad1e3166f3e3fa4a, 0xcd38c8eb438910a9, 0x19ae91b3f4fc1cc4,
        0xf6e0f317d242c44b, 0x6413addb8f267a94, 0x6448d705ed627007, 0x242e737900bac3d5,
    ],
    // i = 50: ln(1 + 50/128)
    [
        0x546ab61cb7e0b427, 0x24f5833eabc623a9, 0xe9e6af97f5c12be2, 0x1f9a5c5aeb0a988a,
        0x530626d4f28d4eb6, 0x59dd743353d7e4fb, 0x7cf05d1ac5bc69cd, 0x6656eb99698a8e93,
        0xbf0d4a9fb76833ac, 0x526b8a7378fc145c, 0xb63ea16d6213a68c, 0xa6e056f6c231d6c4,
        0xf4ba4a6cb554d394, 0x829edd899d93acd3, 0x53a90c37cfc5f312, 0xb1b40c832d23b9c9,
        0xf920c1e050725f1a, 0x4371342ac74a227e, 0xf077ba143ca0d60c, 0xc726f0ac999a2d48,
        0x302ec1188f5008d1, 0x3cb46aaf3ff7b402, 0x31f8b95486aa961b, 0x4862ba836906da38,
        0x03eacd6f4c730f0c, 0xb9e9f9ae0ba6b134, 0xcfc025010f0dc42d, 0x4f4c333c5e9edccd,
        0x9f68e217a0c67f2a, 0x8fccb2b24ecec6d1, 0xd1c4fdf0465c3c37, 0xa577a6cebecff454,
        0xc19ac1ebc6f35e89, 0x8258ff2b13a8123b, 0x103e9e6763961b8e, 0x3d6a28704955fae4,
        0xbae7c330ecf34047, 0xecdda152124eb576, 0xdeb00a889be89590, 0xf8872203f55e3f80,
        0x927cb9369e8297b8, 0x3220dc29d2b5ff32, 0xfb0ad47eb2407d52, 0x0bbe482cd86d1cec,
        0xb97086e880f70bc8, 0xe088eb273dddcd22, 0xca0a0f5d9bd4b8d2, 0xb6839ae2c069f330,
        0xe61bd2e167eba82c, 0x1db8e4cc91f26bdd, 0xa6c2f1722b84b757, 0xfb7d25753117164c,
        0x003e9da7e07b48ac, 0x4ced48f78d26352f, 0xebf800b018d1fdf5, 0x814e9ec3db1ab50d,
        0xfb619eaf99a24ee3, 0x65bfe804bf07e871, 0x6cf789f2e224d106, 0x74eb4b51bdecd4a2,
        0x1e5b91600a61833f, 0x8aa4cdb5ace79c52, 0xf2f2efe771195780, 0x93934d2829db71bb,
        0x1f263e6fb7a61f4d, 0xa608272407d03b68, 0x1938651c02bdc7d6, 0x9f898e5851dc90f9,
        0x250cbba06c566380, 0x8be79af399f10b18, 0xb423448f13a5f48a, 0x6070ab7fd6ed4cfc,
        0xd591b47496c4ddba, 0x778ecfe4f01d9466, 0xabe0a0333e032343, 0x84b28b2d25db4501,
        0x56d513d87b39c905, 0xdae563061f9124df, 0xff62a6711c19baa5, 0xbb54ef7a9f554f86,
        0xfd5a4121bf4973a7, 0xc7765c7302951b05, 0xa0c8e78a45e3cbc9, 0xeb0c404c48e691bb,
        0x2ed61f5126785388, 0x2ed78605c1a61849, 0x411d498d9f5d42bd, 0xd11003787a2e7dcb,
        0x856eac80ad09acd3, 0xfef9ccae0419b8c4, 0x4e11aff79f807ea2, 0xf887d0d7a1607dcc,
        0x87ef3c1465541e95, 0x8d3b9e1fd94c83c0, 0x41ba5d093a18d3a4, 0xbf53c975cbe4b5c2,
        0x2a76f0eb79a17617, 0xa16bf48a186b3de8, 0x039c9e2839a539d1, 0xf696a0422bbcb3ac,
        0xb2c49e378e53040b, 0x4f80b4bb2346151d, 0xc7f976437a89b291, 0xb35dae8128e52202,
        0x80864c2109e09fd3, 0xdfa95d87bdb40e0b, 0xbd7bc2c8b9c36cb7, 0x8c24d4fb8e7f6a17,
        0xbbd19eff1978c6bc, 0x8e898e6997b6d356, 0xb6d1dca6a26324f4, 0x4a8697e0eed8d83f,
    ],
    // i = 51: ln(1 + 51/128)
    [
        0x55d9dc5d1569b152, 0x6adb283660bd00f8, 0xb83433193f7be028, 0x314796aaf884f564,
        0x8cdf71b2f128ae8a, 0xdaacd3be4d975abc, 0xf694717f32197790, 0x039642d18667d12d,
        0x958f9b61789d4ee0, 0xf05a82d066493e49, 0x4df391ed8b74f59a, 0x2e9c8c008d09c2cd,
        0x133368d624f445d7, 0xd0998ae7d17257d9, 0xbad4377e58f4378c, 0x7f9c10c8f26ae37e,
        0xe46891bd7dba6973, 0x2fdbe9f3fc159b21, 0xbda2f0345d564fea, 0x2c64608d22ce7af0,
        0xf30e555247b370b5, 0x08c3b5645dc74044, 0xc48338359b7d8c19, 0x880d02ff7c1666df,
        0x559bb4c6f6ec5755, 0x1af9c45946266557, 0xeeaae86b5a3aec66, 0xf2f3598394cdd976,
        0x76dece1f70184c2b, 0xdc536d4a4fceb4da, 0x26416fa06af409f0, 0x41e870cec87063ff,
        0xbdf60afe0f433786, 0xe779e5c33276d189, 0x901b1fb0f1267f04, 0xf711aaecb6d708ef,
        0x3ffe68de7a8ada64, 0x54c8cd5289f4abda, 0x52e7a422778fd520, 0xc281bc2de2f7def4,
        0x39bf43e3346b2d81, 0x805229cdb0ddf16d, 0xdf52f4cb2bc6a851, 0x17dd535022ddff9f,
        0x344e2a57e9160118, 0x76134e9ee6be5fcd, 0xb00ea316852d0863, 0x5a3274af57cb5afd,
        0x5a3d4b35b3588d10, 0x2bf1bae2f6a16d1d, 0x879aad3a0ec923b8, 0x9765d01b20a49cec,
        0xc37ab0241e26c4af, 0x71dadbe1475638ae, 0xc2c4e409993be5e2, 0x88ebb592e0ecb5c9,
        0xc68a90dc49115cc9, 0xdb05419e75cf4b9f, 0x2727e251c3383b24, 0x795cc1089c29cf59,
        0xca6c1f979af5efd8, 0x45c4ce1ac854fb30, 0x78856167ded44eb5, 0xc85fe50a170f3ced,
        0x649222ba5d6b636e, 0x296dafa450e41e0e, 0xc214c1609cec2020, 0xc8cee8127c350182,
        0xfa0a05772f4b1ad9, 0x8086ed42090b0318, 0xfcfe20a43fc1298e, 0x84aebe6d08fc847e,
        0x8c4595b96749edeb, 0xb0f9f5282b84c78e, 0x4b2e93275a668674, 0xcc2fe649c80dac30,
        0x8f503a9f754bc0c7, 0xe68c7f8bf62a2b74, 0x944d2a608b380b3b, 0x13083f3c8caffcb6,
        0x20dc205d9f23085e, 0x5942b0a57e5e3501, 0x2a0d92c61cb7afcf, 0x3379d5a8bc6affc8,
        0xfa18d79ecdee02a1, 0x5ad7ae54762e481b, 0x80c0cd9eb59a6293, 0x56139acd52cc87b1,
        0x3bf620bbe67f4dc0, 0x23e0a03f68ef4c76, 0xcf51654fc103608c, 0xc6dab1149bc75ba6,
        0x7df2339bca3f01d8, 0xb8a9436aa99c9005, 0xca9200f07b171ee1, 0x1c2934c01b3df63d,
        0xbeb8034fe963f524, 0x62ae9bd0db24fa60, 0x9b97519f61cff113, 0xb23d62dc17b85540,
        0x1887765da799d9f4, 0xc843fb2c1a4cd364, 0x70419d2bce9c6ea4, 0x999ba17ff2775df7,
        0x7859738692ed6093, 0x44a48a42181ba8b0, 0x20cd67f8fe540326, 0x28b28805846e0704,
        0xb08e4eb1b03cbf83, 0xff28c6f4f7a59e9b, 0x94e81780a563df29, 0xee39c1a6189da2ab,
    ],
    // i = 52: ln(1 + 52/128)
    [
        0x5746f6fd60272942, 0x36383dc7fe1159f3, 0x80b4a6b429a4bb09, 0x4df9cbb7645143dc,
        0x3f984c404ca76681, 0xd1272b82f6d4b0e5, 0xe728a52cba2e3d16, 0xa0a230fbc3639743,
        0x76cc4fc9995a7125, 0xc8625bcb939a5f8d, 0xa031f272748cdc54, 0xb7ec04a1ead41bf4,
        0x19f820cbd10257f0, 0x41c87262b20901bc, 0xf4bcee5a451363bb, 0x90f1e2ac684b86a9,
        0x56aab635d29f97bc, 0x878b590dcbc023da, 0x4fa5d86206dea3a3, 0xd79404289e365314,
        0x30928e93994d1142, 0x8f484142c463be4a, 0x978dbd30be726f5c, 0x898dd82e58fb50de,
        0xdf225399f2f06c1f, 0x8c9b59220d06d28b, 0xd240a6527bef7e6c, 0x210049f91b795ac5,
        0x12443541f352355d, 0x06b35a3bb6d6e272, 0xd81fe3c26284b133, 0x2b20779f7b00a944,
        0x706ea175b84d91ca, 0x235a6caa323b28ac, 0x488166bda1f8c0ea, 0x42d120e09c154e54,
        0xb732e85395305526, 0x3aef9369038d88c5, 0xa882113dd85d2413, 0xbcf59fb76aba3e20,
        0x5cafee75e300d004, 0x1d008fb190cbd400, 0xa582da3d9d914717, 0xdd272f3a83ecd528,
        0x47c42b36d696a1b5, 0x592270cae11c25b7, 0xbe90ccc90c16265d, 0x93d4ee93c5c189fd,
        0x33c315b2efb1c44f, 0x4f5a592cf5890b25, 0xfdf614a32731a635, 0x7dfd814eb6bcf9c5,
        0x284ea16a02cd1134, 0x7d0181e506a277f7, 0x6df722d451bb2318, 0x24789d424a8c760b,
        0x49507f17ef2c0722, 0xaba7fa74a0b6c2ec, 0x63b3cd53d6a87b56, 0x16b404b210658277,
        0xcfbab6f7f2d46b0c, 0x5b6aa6bcd42934c2, 0xb22607a93143be56, 0x574e3fcad53d53ac,
        0xd1d66e8b1a26b7d9, 0xebf39caa3c33d5d0, 0x06a19950c97740a2, 0xcb64a632ca770307,
        0x6c8864faec3e5d43, 0xeabbc7c9d25cad0c, 0x0ebfb4674456d8c5, 0x95bcdffda5be4884,
        0x46253b0aaa76c7d0, 0xbe9c6f2969ded847, 0x52060ad990e1bd64, 0xba248bb999a9b5f8,
        0xaf21f30f6ffd9539, 0xbcb4ac2137999a55, 0x996a81249b9ba264, 0x197e81cb3ac89c42,
        0x1b5768233e2c7d9b, 0x16fdc21a1f5cde01, 0x8f1e271b2a4a04af, 0xd03956416e1917f1,
        0x745439b28d966ef0, 0x2073857296ab7f76, 0xcbc9f6733d0a62c4, 0xc37133025c45d457,
        0xb59fb092be0f1dcc, 0xa72010e53dba4eec, 0x5807fdac4f92c097, 0x2579c270be7d9160,
        0x97414cc785de529e, 0xc87404f0c150d7c1, 0xd7550e3d9a0bad0b, 0xdb8297623710cfde,
        0xf48c6851d715290d, 0x344a95ce7eb68fec, 0x2029d17cdac5dc7e, 0xb8be7ef5b7936488,
        0x04846890e27bb09b, 0x2dc6c4c61eb58556, 0x89b511f189fb9848, 0x49ac57b271f3999e,
        0x2aa1e2eff683bb30, 0x77f82cd60cb67d56, 0x243e4ff1cc31c6e6, 0x3c82db28c7d608a7,
        0xd6f895bd5dd52872, 0x2aa1981ce12823a0, 0x085632fc39f957e3, 0xc0752b94c2f42361,
    ],
    // i = 53: ln(1 + 53/128)
    [
        0x58b20bcae71e54bd, 0xbd7c8a980728b9c8, 0x9b1577495fd12d40, 0x0b2333cf512b4182,
        0x8f0834da1cfcf075, 0x42a5195958ca07d9, 0xbc837911828e3253, 0x6a80098582541b8e,
        0xa697ae12345657d8, 0xac4b79cab59f89e8, 0x79d616fafabca1da, 0x912f8929b96aaf23,
        0xa8b24731dac53c6c, 0x58e5073e1da7544e, 0x32e34b78b0fbce42, 0xb55b32653726dea6,
        0x46cdb074af865c48, 0xd03db85868f16b13, 0xe80db415107ded89, 0xc57f7fd232a16ca7,
        0x6a6c0040b9a81739, 0xe0074b6c1a4763fc, 0x08b58e19aca12b01, 0xdb0e42190db3706f,
        0xd41f175526775ae5, 0xb19d3989ebd520e8, 0xa608155884ba33b4, 0x355e041627fbbba6,
        0xf56a6157aeced15c, 0x4016e365424f3ef4, 0x942590307b7a2dcb, 0x14cc8b1d7114e9a9,
        0x02e03ba084442eeb, 0x28fd4c7e741a21d4, 0x5f4cffabaabc9ec4, 0x64fdd649fcc0a0d0,
        0x77062eaebc372fad, 0xb4c336f1caff293b, 0x2b3f5830788c14dc, 0xb0b2266577de85b5,
        0x21f994e154d7dce5, 0xd78952e06cd1421c, 0xe0ba9b07393c4669, 0xaef3b48cfe7ae437,
        0x9ff7a15a4d53df1c, 0xcdf4ed4d09be350d, 0x38fc6001246ee0e0, 0xb24757d6e805355e,
        0x0c5c665531e3df8a, 0x6898deb9cc413a9f, 0x023de52a0220bc61, 0x8fa34ad9aeafdf7d,
        0x7b77ba19a77da065, 0xa76346e0c0ddd7b3, 0x68202e3c53bd439b, 0x6f98068483dd79f3,
        0xcec47cd56c06aebe, 0x4c7969fd85834580, 0xd9a2f0b12389391e, 0xbb1f0d2c469f9e43,
        0x962575671565ef07, 0x1db7886511b020a6, 0x37f6be3917acad1e, 0x67fced2b5c31eb52,
        0x2d476c20a1698545, 0x5e4f781b93a841b8, 0xbb0b35df0dabba92, 0x28266e019acd15b3,
        0x5679eb8e78b904da, 0xb40c537697990b7c, 0xbaca4a3298677e48, 0xc9b3ae555cc98956,
        0xc3e17365e47a6417, 0x64971a6ab8255862, 0x66e823c354e03fcd, 0x980a6ffe7a76d40e,
        0x7fd12682c3440d3b, 0x80ac3229142e5298, 0x8dc4c1b74d856d40, 0x2dc8e18041b87699,
        0xb34abed8d8e4100d, 0x89d7247d3b5aa73e, 0xc4eb5b52eb2460c1, 0x59cb639755e96d6d,
        0x5a62b3e5e358b123, 0x90758dd9047806ad, 0x3020eba616f33e20, 0x590465cf58c7ff8d,
        0xcec1a14e9271502c, 0xaad7bc2843fe0933, 0xac7dc8e94353ccb1, 0x8282066edbd35315,
        0xf5af481ed54b4d0a, 0xef1bbfcc25dfdaaf, 0x025e95e281d9a577, 0xb409b3459bee9c59,
        0xa040f925b1f18c80, 0x241275adfd1880f6, 0x99826d6d0d215709, 0x935db46f3d2c112c,
        0x2188aec101ed510f, 0x27ab6a88aca82962, 0x87426a5199670674, 0x7c768093ff8f3235,
        0xc0d794e18203daa2, 0x7645e537215b306c, 0xfc8a22e483e69fa9, 0x02d5a6297cd89c65,
        0x5f167b4a054c0b71, 0xef727448d3ec1b36, 0x450764b1ea60e9a6, 0xc7af858a55af6a3c,
    ],
    // i = 54: ln(1 + 54/128)
    [
        0x5a1b207a6c52bb11, 0x0af840538e1a592d, 0xeded1c3395996523, 0xfa9ae6166df3361f,
        0x47379cb4a4096771, 0x2db73e1e9dbdcdef, 0xce37213657d3ae92, 0xbf36d16f7083bbd4,
        0x7df7176a26e0725e, 0xb80627f9d2440833, 0x0cc7cdaeffcf5bc7, 0x0ac65e2427e9ddeb,
        0x409a049f5ec6eea2, 0x9445bbcd4c6d55a0, 0xe44f0583f6f8b190, 0x1a881950f5e06b14,
        0x1ea444922f9a21d8, 0x67c7a930e6d73e28, 0x485f930a83f3c35d, 0xfebe07eed122a6d7,
        0x44911f7c1615a692, 0x5e1be65bfbfbb950, 0xa4eaeba3c72213c5, 0x334903b4d127d5ae,
        0xc15dde853b1ac772, 0x1a1793c561a4d108, 0x8a852c9a5a2ed661, 0x5b202811c63c98c3,
        0x0767eeec1349f5c2, 0xa8143bf00992279e, 0xc15b324ef247990c, 0x53b0faa6c96491a8,
        0x059fae2e47b8466a, 0xac406728c5e866a2, 0x69ed933d1d8cb015, 0x506f88fa03ee2586,
        0xf4a2cc409801eb4a, 0x49f42c2532081863, 0x06ad987e13916ab2, 0x3cfe918431945e7e,
        0xae7cebee5a1eec13, 0x48f24ede748889a6, 0x0e4a11d7ecf131a3, 0xab3da3cc71ac1d9c,
        0x6e31a7f1ace3f827, 0xf525e459a904f930, 0xb6dee8e1ca2f0cee, 0x6568df7cf7d070de,
        0x53fd8db5e5a602bb, 0x72456bc002d1cd34, 0x6633c1379f1d2c45, 0xabfb40488ea971ba,
        0x1fd7dcdf392cc8dd, 0x0ffe5d12131f4d31, 0xb761693b71e633ae, 0x17a7197cfd79ba30,
        0x35f51158072e68b9, 0xbf97f7d3f93c8fc0, 0x330c232266a84abb, 0x9e39b2c689dbd546,
        0x6a8f9ba106b3f90b, 0x9d02be8315c50591, 0xc32c6452ea341a1e, 0xff1041ca24450984,
        0x9871386733992dd0, 0x7cc48c3a58f615ff, 0x6f12e0b8490d5f3e, 0x777158afa4c09434,
        0xdda45f6b16160f18, 0x61f7e7616bf8aa82, 0x29391185e80f504e, 0x3585e85f826f684e,
        0x967d46595e94454f, 0xf2b63a02bc9fd483, 0x91594c4bad1a70a7, 0x2ba0aa58d25edbdc,
        0x2420ee829a4371ad, 0xa1d6ecf6cf95cc1f, 0xc5021fa53d924e7e, 0x068e905429cbd294,
        0x807de27bd42cbc38, 0xa89a0ca5f106d258, 0x6b1b0b39df7f97f0, 0x35b69678b4d1f803,
        0x69d6f15aa6caef8a, 0xc17a1a560e20562b, 0x03ee6439c7b307c6, 0x01157660faa015d2,
        0x0e33e1ea96ddb0a3, 0xcd5f030605b436a1, 0xf52694e401f6ae9f, 0x27506c539c306fea,
        0x3ffe07eceb7eace4, 0x004a6f90db81c7c4, 0x7e9f55652dc11cf2, 0x5ed7e06c62677c8a,
        0x547123f960d6b748, 0x930cd151a5afffb0, 0x1cd7de3ba217c4a0, 0xd2c236b03a38a403,
        0x90a17b0d9b05b054, 0x17f7f330bb7cfed8, 0x961c52c3b724f538, 0xc732b42676c59167,
        0x9849a917f0afed57, 0x4c7397bc86313bb9, 0xe524fa1ddb5d4f6e, 0xf0ece09652638dc6,
        0x5f761d4f096e682a, 0xaacbd3dedaac07d6, 0x679feca309adcbb0, 0x684923b7584e3a10,
    ],
    // i = 55: ln(1 + 55/128)
    [
        0x5b823aa8ae878e30, 0x4e4c635c5f0bc0c5, 0xab9f4e6581f708d9, 0x856f669fbedf033a,
        0xfee3c8c70c449327, 0xd7723dcab20273f7, 0x603b642044bb4bc0, 0xdd2941c223ee0a2b,
        0x223ce5cd8455f49b, 0xf61e704ae431f8cb, 0x225e165ceeeeb6aa, 0xeb06a51e2af0438e,
        0x18db813caadb06b6, 0x508a9abc67d8797e, 0x7172feffd5135e75, 0x8323d885683e901f,
        0x318005da8bb61c00, 0xfeb0f2426afba494, 0xcb94faedd06a3974, 0x0be5c5f924e5ba4a,
        0x7c03e277662c49b1, 0xcce785c5db5af93d, 0x2d7319a1c85955b1, 0xe46ca09be48300cd,
        0x6e3376b4302e599e, 0xd9f435e258557644, 0xf256c342f35ebf4f, 0x4ed7af7557e72732,
        0x5d91cb6df1c7f76f, 0x809b037136b21dd1, 0xa5fb37ef67b534bb, 0x92beaedb39812ee8,
        0xde8caf830c6e4e74, 0xcc3a5deacbf523e2, 0x3167729368d57dc6, 0x039e6256f4324487,
        0xed89ce9e1a35a4f3, 0xbf6b4572df95c62c, 0x06ed0af7723c7531, 0x2ba3847eea08aaf8,
        0xff60c676aed7f3b0, 0x448ce7a3a81e8db9, 0xe928e9cccae726dd, 0x33f467d68dc7886d,
        0x06ecf71921015f7b, 0x16f1701527aec35d, 0x3043fa0c70b1553c, 0x2e2885aac4d2e387,
        0x6c35c62e88730fce, 0x12478f7eed89bea4, 0xbddc2480a754eea4, 0x2b2e5886431acb4e,
        0x0c2b2909f0f1c30a, 0x4824119355593f61, 0x1e53b5eed77b155c, 0x5a6042849c90bdcf,
        0x0bf269efc9659fe2, 0x04ec6b0dd093a6a8, 0xbe688bdb0bfe0aa5, 0xcdaf135ef837b40a,
        0x480d9dbdfc57e2d4, 0x0640eb0c79a90a3e, 0x50254742dc8ef647, 0x2985c345db7e972d,
        0x46a3b5019f07adfa, 0x5fcfcfefe64bf3c8, 0x74e5906135b53669, 0xb710504f050088eb,
        0x4d11813919175b3a, 0x4c00de497683eb8d, 0x563197b890a64a5e, 0xc09a7f06f7146c17,
        0xa3177c914697fa27, 0x1f323bc036bbf497, 0x47f1e802424eeb7b, 0x87f035070ff3065d,
        0xe6875c142740607a, 0x68ed83558543b2e0, 0x559ebcbd4d3a4af4, 0x3bb9d77e925b5b53,
        0xc1e87299cbc76f30, 0x53c2ee89a5817ebc, 0x311bfb7f476dbc11, 0xca042960dc3e9c47,
        0x2c075ad49d61d185, 0x040fb9d8132e3c81, 0x887ab62805699dac, 0x4cb9067644e9b568,
        0xb61cd13179a9cca2, 0xd4564dff29c39c47, 0x50bb935e6c2b3ef8, 0x28d335cc22e77039,
        0x93e44d9f9d8ca57f, 0xfeeaf68d3170e32d, 0xa195aa215c13f466, 0x0aeb14e0faec5722,
        0x592d36687086d191, 0xb25e668c3b6d8b2a, 0x587a49a9bc663087, 0xdb2c06f1a91f4686,
        0x71c48203ab96fcaa, 0xbb571489b286df22, 0xb667b600429d16a9, 0xe7b64a146b99aca9,
        0xf5686eef1a9faa4e, 0x0648195964e0a49f, 0xfd369933d7554637, 0xa7347c5b898d53f2,
        0x22dd2aaff64557c8, 0x7fbab73be4eee4c4, 0x34224a8bbe2c6115, 0x58816414e9fa440e,
    ],
    // i = 56: ln(1 + 56/128)
    [
        0x5ce75fdaef401a73, 0x89314feb4fbde5aa, 0xdde10dcea59757bb, 0xbc92784d23446f02,
        0x505d2dc14ac65d2a, 0xc49b7c7b9e14a268, 0xe0427ff797f25769, 0x1f632a2fb1351588,
        0x9552cddfef653efa, 0xc209c254a6b90d5b, 0x7b577405021f561e, 0xbfe6ef8663a1e7af,
        0x1220a8b519f672e9, 0x56f033d7c55f14ef, 0xc3bdc1c3c3aa011b, 0x354994b11d51abb0,
        0x3c8a2b37b98ab20e, 0x6959c938c51bbf3a, 0x9686e75a0e401d73, 0xce59701651083bf2,
        0x17573850eefa8b3e, 0x64b47b73a4ea46b6, 0x16a84ec3d1a864be, 0xafbac1250fe37fa0,
        0xa3647d7c5f752c22, 0xe9cc14db10def303, 0xc5479af54b4d7d0c, 0xa47b1f62be20ec87,
        0xa966de2b1d2cb12d, 0x30e5359bceff3e54, 0x97f6b16c593c2d80, 0xcc261104735797ae,
        0x9eb2b6a680876122, 0x74c696eab441f146, 0xf7495c2e01e7c515, 0xd1283956f42ba3ba,
        0xd3a9912f701405fb, 0x1a7acf239eef4c0e, 0x568a83452965d39e, 0x926c31deff79743b,
        0xb33adaf04db33259, 0x8e55e19bfe0a230c, 0x386c0fc77e106ac7, 0x600b44eeb578544d,
        0x9f780e799b18a7ce, 0x6cd1b3952b7408af, 0x3aeb204d03b112d7, 0x02c7b74d1bc6bedf,
        0xa3d22f2902a6d3c2, 0xe5156aa556687e6a, 0xcb603fb9d7e31276, 0x9f37481aa567e591,
        0x79b2c90312472a5c, 0x06620d61f26726a3, 0x85841a250257a453, 0xdf17255c2db3c607,
        0xb37fd8cce2e470f5, 0x07e348c3fc04d1c6, 0xdb34811b891db369, 0xd43181ef4f6f4ec6,
        0xbae8ccbe0fc100e6, 0x594ca42c193861ed, 0x451242adc12fb3a0, 0x053fcbf5095d8ac6,
        0x21be2772239d1c84, 0x4abf39daa4edb9df, 0x9fbb548f0f9ade55, 0x9631785fd42e0e5c,
        0xa1e543826b9d9d3e, 0xa2d092d93d786d45, 0xf6736f6aadb4656a, 0xd6cd0faf148eedbd,
        0x93dba5d17698a3a1, 0x4b7f9904a081d189, 0xa62a0d0b88dc22c2, 0x2e81505e81b4fc96,
        0x4ebfb9180b010db6, 0xca7135a8d5c858a2, 0x2928ecdf0c6761d9, 0x5200d96374f50918,
        0x19a043847179c4da, 0xa9112ecebd0fb3e4, 0x93738091a96bbe78, 0xd72eb3b52514422b,
        0x6032a67cebec9a12, 0x825cf70175d2f2ee, 0x3ef5943d3d0cb321, 0xcd4cfdcc6b2927c6,
        0xc79612fb417d620d, 0x16462bab40a2ab89, 0xa766c1f078ba654b, 0x5c64f86901000ce3,
        0xc8599acd6a8a0ebb, 0x1004ca49fc44c91f, 0xcc11c2bc45c3c2cc, 0x6f977ffe47a395d6,
        0x2509c5f2b31b6fb4, 0x341305d03ec3ffef, 0x3d8ff60b879a9a0f, 0xc2c8c158488c7a8a,
        0xe84958995ec825ad, 0xe61507467e04d02a, 0x85f1c5be74788ef5, 0x8c8d7b3686fed8a0,
        0xd084fbfa1de8541d, 0x53616251772003dd, 0xee8db00b59ced8c4, 0xe835047622cae9f6,
        0xa134a031e074df3f, 0x066a6ca6d16455c5, 0xc00191e9fe071508, 0x95197d153c37652d,
    ],
    // i = 57: ln(1 + 57/128)
    [
        0x5e4a957f751e89f0, 0x57691fe9ed68159f, 0xc32ef1838fd7bd5e, 0xa6f5261c43109a88,
        0x5f81d74a44f4c2aa, 0x149cdf05075b1493, 0x576cf4843ac24dee, 0xbff221be9b875c17,
        0x727a751dd0a7aa75, 0x3c19687d663e07fa, 0x683c98283e3cbd8d, 0xf1d743c680adf5df,
        0xe0b01e7507201ee6, 0xb50f2162af88b331, 0xd76dd4630888f73b, 0x4235b8684c2a4c1a,
        0xd4f28f6ac1b3a387, 0x2eb59572bbe02a49, 0xe42deea787ca2674, 0xf10287f506fe2084,
        0x48e9dfb550860e5c, 0x7ce6b31181202a5e, 0x980f215701a497f0, 0x029d438dd1cdd06a,
        0x6db34fe7908aca55, 0xbf1f049221b78840, 0xb06307cafc572626, 0x1662b82f4a74a73d,
        0x48e8eacce401a9f8, 0x5a30ea663233741e, 0x41ce93c3c8016cbd, 0x46447a8c2e95d9a4,
        0x18a6e279711a7762, 0x2f216236d21044b5, 0xa95e3e3f5acd7fbc, 0xbe2e5a17cac2a927,
        0xddece7d40cc96e17, 0x1e2b83bfd67f88c6, 0xc84d02d36b520405, 0x47751701f6f32efe,
        0x824becce4ba8a451, 0xe5ab31b4e8545671, 0x2958a6a9ce8e97f8, 0x008ad44fc56d67fb,
        0xfcfb33092f11ec12, 0x3c3a3fd579b9dee1, 0x37d800f563849b67, 0xb0c7593d86aa0c26,
        0x43228b0e8e110f4b, 0x32a5764daa761c8c, 0x88c675d79ad9476d, 0xd0c57cc315a9cd82,
        0xbd0b1495ed3840b5, 0x38565f38588be16c, 0xe7e1057ee2497e0d, 0x42f05ce40f14238b,
        0xc3ea313997f9d2f8, 0xd45af7dff42dc609, 0xc2a082ca07d913d5, 0x5d2ede595cc124f4,
        0x8d922895e25d15d3, 0x17fa01b98cc0ddbd, 0x67744abb78449f72, 0xab8a4dea13985f3b,
        0xcf5c023f9b53520d, 0x41f3f13e93b027e7, 0x50c47c82c8bab848, 0x3bfe4fc00d7a24bf,
        0xc4ecc9d7a21c8486, 0xac9e29b6e06b86c6, 0x538e24fe0e275853, 0xd71f52cad9eb4dcf,
        0xf0c3f33ebf6a9d13, 0x5408bd4a4384de55, 0x77605e27790f2849, 0x109ba175712a2e62,
        0x8b256bb4a49eb98b, 0xa9dad1604077e30f, 0xd2fba472d32c914d, 0xc8eeb9b25ba5c935,
        0x4bc7841d4745b3e9, 0xccaa042d7f8096f6, 0x32c734cf1d97768d, 0xce90375731d1da05,
        0x95d8ed68e0aec101, 0xbb0265dd552759e6, 0x79f3034e8136b529, 0x3e667efe813f52f3,
        0xee1b4a2083c3482d, 0x64df85de89c07697, 0x41fd8e4b8d953d26, 0xe1a0d1a70285ac0e,
        0xe1effcbf067ef25b, 0x132c2ea1ab0b9a31, 0xd8e5993b89438195, 0x3128bead1a02303d,
        0x725931c2fef0acc8, 0x28a77e9d7eae8df7, 0x73a894b245ddce6b, 0xa34b9d961dbece1d,
        0x720e76a786832d60, 0x28f6914865a97d5b, 0x49aedbfa32920545, 0x89c646846a81bc73,
        0xde32a9d305466a61, 0xc721473dd7e18b59, 0x651d3bbc1a597e45, 0x4420911898d84500,
        0x71327daf65229620, 0x29a12991a70c59d8, 0x6dc2b2d1fac02319, 0xb0c92d293b6f068f,
    ],
    // i = 58: ln(1 + 58/128)
    [
        0x5fabe0ee0abf0d92, 0xce979ed295043716, 0x0cbfcbf71ee8d4b3, 0xcd06766663c82c88,
        0xa53a25716f275bc2, 0xa865819e5a917809, 0x43dec3c772aed8b9, 0x0b07be72af30b4d9,
        0xeafe4ff92cbf0da2, 0x14c2658530f1019c, 0x9a8fca68b8aa92af, 0xf52adef9ac96ee07,
        0x9483bb5088103471, 0xa1f4e5353e7c30ed, 0xc033c6289b3f22fb, 0x30e8aab57afc233a,
        0x34b75da00f8ab862, 0x90b7d3163f72c1c0, 0x75c4e0cc48301d74, 0x0d8fa5829702b7f3,
        0x622086e293b871af, 0x6e115b9a138749c6, 0x14d68d586c3ce1ee, 0x3275083bd976bd76,
        0xd5f5afe41f3d4271, 0xaa390e04d7caed9b, 0xd45032206688e76e, 0x902f6ac22f819321,
        0x7218b2087b2a6b37, 0x375ec37402ec8001, 0x98737a3ea5c0769c, 0x47118a8b8f35bf56,
        0xe97b9921728ed4bb, 0x90a9830835bb2ed6, 0xe6d5a1e767860b83, 0xda598e67cba11074,
        0x52f16da3da5b196f, 0x985e27a8f23dc4b0, 0x3af18092c462b5a0, 0x3bb8164fbf1c1efc,
        0xf7e31ad688563939, 0xf39ba36e61669c77, 0x1ccf62335cb5a706, 0xc29b8145a706985b,
        0x9a1c5553b28c2d69, 0x2693623ece98082e, 0x037618e930f1bf44, 0x36c2b5b5aef37a7d,
        0x77ec4212d8aff609, 0x1436a78b7b0132ef, 0x3cfebecf5c580104, 0x01ad8bd79c18ccec,
        0x06d6035c81352ccf, 0x5f098b055bf37e3b, 0x8967cc791648f519, 0x641dde15c3f30e77,
        0x5a73256042b5706b, 0xce6df104bf28b33d, 0xb164f78fd5b55ae6, 0xc3bafed046a52dbd,
        0x0fb19cb552e7000d, 0xd12b5937f71a6658, 0xaa45779e8159e8d0, 0x1878bcffad956e6b,
        0x13a814b3266bc146, 0x9369f77d8376fc1e, 0xab0795bc00c1413c, 0xd7f9c2ff2ff6ea76,
        0x25697606d9f6606d, 0x0fdbdb7a56beb9e9, 0x2bba5caf43a91618, 0x350401badc92c425,
        0x13d712b4faf1a810, 0x31834030c2824db8, 0x368db6f2e28760f8, 0x2b3bcb6a430cda9d,
        0xf928fe7e842b93b4, 0xc9551a232d5c820c, 0x15531c86efb397b9, 0x94dc8f417a2ff8e3,
        0x33ebf991e59d2543, 0xae72adbf029b1e04, 0xd6ceebb4a601b704, 0x55613789337c8860,
        0x40cd85d1b3ea629e, 0x0e7c91478ed3c91d, 0xca229487c8777b0d, 0x9e3cc13450d9893f,
        0x3e8da9709d1ef572, 0x26fcb05f60e6b258, 0x04fdbd139ee82cc1, 0xdd1b4fb1bf005cf6,
        0x1b61a3b07ccf8a27, 0x9791d97529fce527, 0xd62bfb5b54fd7b78, 0x062dd45ad9b1d34a,
        0x958f128447ca09aa, 0x25b4e36e87b9add5, 0x1049134038b2fea7, 0x395e02420f47b954,
        0x0c9a7155d3929e6b, 0x71ea8bdcb572e7b5, 0x6850c2c4d2e9ed61, 0xbe0cb13af501577a,
        0x8e1a07d8d1981d8e, 0x1415ffaaeb8b0c42, 0x60a4e827b45fc748, 0x4ed8a1253b7441d1,
        0x08cc702e6fd4b4b2, 0xfffc238a6e430972, 0xb19135136a151cda, 0x98bdbabc87a44216,
    ],
    // i = 59: ln(1 + 59/128)
    [
        0x610b47687a2c5d24, 0xec519784676688f0, 0x461471f380f95ed3, 0x2773d467406a94e2,
        0x1084e7da9a2e6f84, 0x41197957f8ba56fa, 0xaed557b35ae005be, 0x1d4c73df0747f86e,
        0x5ed6cff3be4685ae, 0xc57d34d8174d0676, 0xe89e1a10df783df8, 0x3c295e99b72d3381,
        0x04475805ac127b51, 0xb7c9b2bc1d815e1a, 0x7a1f270052c6a785, 0xffc02bcd73001caa,
        0x456d70dc24f1da7d, 0xbb3bca7c4d48e427, 0xb584bf52a2462275, 0x0543668e1dc02a0f,
        0x3df9d22661163fd3, 0x005d8aeab7b81c1b, 0xd6e2d07b39e0b99c, 0x3ea10d612fa3723a,
        0x0367bced9ed79fb1, 0x9e9ac96810b3b38e, 0x20a6c262cff6b701, 0x6e5b29313050899f,
        0x434766103c28f05b, 0x7f498568741dd0e0, 0x8d523bb592d833fc, 0x7677e4667552eb1c,
        0x64afdbf80d05bedc, 0x8a1ba0ce0495fdc0, 0x83ed2cc442d499b9, 0xd44bdc538a2de553,
        0x783864529278f82e, 0xdeecc0206ce5d308, 0xacea7e06699f8d4e, 0xf3241eba3e4f0492,
        0x1587caeda1b1fe27, 0x0aa6104bd85ecf9d, 0x68c9a51a492ceb6e, 0xdba7b068e435cf0b,
        0x006d3c4d61cae711, 0x5c34689fa2849e68, 0xded690711e4fff9a, 0xe7fe2efb273b961b,
        0xd92477f78a78e642, 0x0b0d0943ad2b2bbf, 0x661825ab437ed263, 0x4ef167c755831010,
        0xdb4f8702b2622235, 0x20ecdb3da64fd5be, 0x463313c7176044cc, 0xcf14f4ed014e7b87,
        0xacec4df19339facd, 0xc2f662d6c463d0ff, 0x1bda5124e17bf710, 0xaebb55e2550f19c5,
        0xcb03629d0591a1a9, 0xd391645b30602117, 0x36313c8185e32416, 0xce92a1ec1cc13380,
        0x6708ecb7df1edb8d, 0x972b6d951277a246, 0x48ffe9e4107e4123, 0xe67d655bf66187ff,
        0x063bd31315c030f9, 0x6655fd6f2c01ed46, 0xfc54d6885952f32b, 0xeacc5501d40ddd3f,
        0xa39b03bf79d8ed3b, 0x297f896213d93370, 0x9fde5e7e760da2a6, 0xfdc91036bb93db3d,
        0x4f340dcbc9b242e7, 0x0a535678796b3879, 0x0f46b89b857a0f3a, 0x549ae12c1e3cf2c3,
        0xe75c45a857b700b8, 0x774fe4c84f7d73d0, 0x862bdc3b57d8847b, 0x580fe2fd031f52a2,
        0x4e93a1b3ee66871f, 0x1d7b7b58be4b8c03, 0x1fb12d3d0d40210b, 0x5eb69e75fff97b4f,
        0x8805e4378e718509, 0x7152681b5cdf8802, 0x246e986223d6d09a, 0x626b7109548f330f,
        0x1db68b2e5ecb5ab0, 0x44cc65a7237d0982, 0x5c98f1490b4c72aa, 0x480d69fe1c70d76c,
        0xb62d0fb47bb45891, 0x28db478a18f16b9b, 0x44813d54872ede06, 0x5591ff8e4b07b812,
        0x13668ecc3b1dbd8f, 0x97e34af945eeb9ab, 0xeef397f1e160f5cc, 0xa0ffeba7dace2b50,
        0xd2bf7510b7cbc15e, 0x4c4b33a031797895, 0x574cc3702c1baf35, 0x8452f4856c4d81ca,
        0x23d295ff4bf9aa94, 0xd788acea667ec147, 0xb4db87e4320d8bfb, 0xe2364e6a3a7b172a,
    ],
    // i = 60: ln(1 + 60/128)
    [
        0x6268ce1b05096ad6, 0x9c620440f055b3ff, 0xc63281b40515a31f, 0x501f739cc6f53831,
        0x2fbbd96820267cbf, 0x29843ae0f0427892, 0x778b0d3873edae34, 0x507eaaddd94be1bd,
        0x710925df66257014, 0x33da365a67672a39, 0x189c6b4b285e0cb4, 0xa121e9bb122a2c73,
        0xd5a40aeea9f65bf8, 0x5a7d27e6d4d65095, 0x77fc94eec48fd2df, 0x517142b539be50ab,
        0xfef59505f4bbd8fe, 0xb8ac12c57d0707b3, 0x882e98961a15170b, 0x40ad49b4899253a6,
        0x9f1c37392cfeb350, 0x0d5ff8dccb17e86b, 0xea4cdb3fa0a55e7c, 0x3369e9e1f730da65,
        0x5572b16598f70e42, 0x9f430e67450c052a, 0xd3845aed10230f1e, 0xe9477824e1036e90,
        0x9b7103e2fda6d2f9, 0xe24a10e81bc46f67, 0xdb99363c4e174d5c, 0xf149270f22976cf1,
        0xa9a9e55163cfbf93, 0x3cfa893d90634cf8, 0x49964a8473396fb9, 0xb76429bce1fb36ad,
        0x4b921152ffaabbd3, 0x7e65f58301c53d5a, 0x9ab5a04f66e6de4b, 0xaa44bbc8615c61bc,
        0xfe32a07affabd88d, 0x1442623104c2ec5e, 0xb8f7048179abd6b4, 0x1b82456a4d991f4b,
        0xccd734b4cf651227, 0xd0b4e27712fdc746, 0xc36d854382690701, 0x1f1f0a63224c4315,
        0x25b3d375d459bce5, 0x33e3484ccca2673f, 0x646f727e4757bdeb, 0x496d9deaace36dc9,
        0x37457fde7db2571b, 0x33e29ce6b260c21f, 0xa94103ed455cb796, 0x0960d62454862521,
        0x13996c2de41698b8, 0x44550be9a581d91b, 0x7c79fd89d2e907e3, 0x23bc7ff2b6c13dd7,
        0x6fe7fcf7a6e43e14, 0xc43eb060f0e0756e, 0xd557826fd1ebeb1d, 0xe07e6485cea22e35,
        0xb97bec3b555329c9, 0x4a330ecee228818d, 0xda4840c98c28d4d2, 0xc80b11f9ab5a21b4,
        0x33a320f612a167ac, 0xaae22a299b4592a9, 0x388c9aec2bc7431a, 0xda827cf482bfc4cd,
        0x26b2abfd93a48f26, 0x94f4ecadd2e5c99f, 0x921dc3e7752650e4, 0x1ebb49e92feb316e,
        0xe9beea230502eabd, 0x07d438f6cd2d8db3, 0x59fee401b18ba980, 0xf6884ae5b0ef37a8,
        0xce15c75517dcc7bb, 0x4bb013678d98a0cb, 0x355a07612ec7320f, 0xe2b4b908aaf74a59,
        0x622215da7cce47c9, 0x7bdce7bdf84e3887, 0x4f85f5f92d91b9b0, 0x389e181382728361,
        0x6762a659ac3e5eb3, 0x900a2adad2d6a79c, 0xd91c6df608a2bdb8, 0x82606a4668cc73d8,
        0xa895aff54583b81d, 0xa7fc2dacf4baace7, 0x5afa42050d2c1381, 0xf628eb1017a3d848,
        0x12fee1814db8f5de, 0x3b15ff0e49a5fdf2, 0x26bc8d3aed697884, 0x2bd0a16e983e1280,
        0xeda7c854199530f6, 0xb8be984d845ecba6, 0xe809aee3c6808646, 0x5335928eb31255a0,
        0xa46cab97e42121db, 0xb081a99a94a8f11f, 0xdfa94d7f16b2d60c, 0xf2a2585e3a0cb1e1,
        0x4018b5179b5d2d36, 0x97a2e6682c3a0d06, 0x404da7c10bb30b89, 0xb7977f532b07f58a,
    ],
    // i = 61: ln(1 + 61/128)
    [
        0x63c47a1cd98b1df8, 0x5da755a61a29979c, 0xbfcbc0e45410ee8c, 0xa0d173fb95258bac,
        0xe79ccaf5ac124007, 0x2be40c0f729965bc, 0x82e96e5572ea875f, 0xf85983b7024507f1,
        0xe90ff190f81de125, 0x1daedbe3a24d628a, 0x01b2a78150c8ca60, 0x99fede8474704e59,
        0x74759ba9b1ef2271, 0x3d6dfa799de1fe67, 0xf42f2d3509a4a9de, 0xe5049a7e7cf55a7d,
        0x20138b778876af6d, 0x23efc6893f0e3860, 0x06df246aff370da0, 0x006ddb819a41ba56,
        0xc302ee075352f42e, 0x608ce83c9f8f0c44, 0x99a578b5cd753b15, 0x1f46b9925efc91b2,
        0x2e824f99ba47ea1b, 0x821c3cd6fa94a6a3, 0x6b1e9d7164abb917, 0x26fa99d7e5c265f3,
        0x305e1e4580977547, 0xfeef35c43ee50988, 0x1281fc4ce914910f, 0x71382ebfd00c24ed,
        0xa78cf2a4eab99842, 0x07e8db968ca73c85, 0x4d079622b2ef6910, 0x66e6765ccf99a40c,
        0x0f4009ca99bdde8f, 0x5f81ca736f51d557, 0xaf3713d782ac74ed, 0x97bd9e76fb163c92,
        0x6cc42be0f716392c, 0x02fb8083668e6dd2, 0x347107b6eb18127a, 0x5be4b35e7849cd13,
        0xeda17301204930f0, 0xc63bd30d9ecf88a1, 0x8efe4de51348763f, 0xe960776a8fe1b1f6,
        0xd07df4ccacae72dd, 0x6953db9743f1cf8d, 0x3a41aaf4df81e224, 0x1b6baf84b8c2b4d9,
        0x28082776b836949e, 0x7b4f4c51d6326fe7, 0x51591925226295d8, 0x1177a85ea650f82a,
        0x5c33acecc21a8585, 0x34977536d09b1be5, 0xb6114b273a2a0ab8, 0xe5322d2ce464d9bc,
        0xfe5be5b85dd8d04e, 0xdf637885baaf0c8d, 0x8f14af20be87ee9b, 0x948647eeecd47ae5,
        0x49345294e87658a8, 0x135e3e780bdcb928, 0x5a0a43068c09ff2c, 0x2045da27905251ab,
        0x42bb1c348cdca910, 0xdc7c49398b95124c, 0xafdff0281a150fd9, 0x953b7bdc719f4770,
        0x738e5273ce445a45, 0x5f7175978eeb99df, 0x6439a268bc5118bd, 0x423455d25c0a38d1,
        0x104bbec9a0ce8742, 0x135c42ffee9994e0, 0xd4c89862b8899934, 0x2b68730cbb3361de,
        0xa5ecc9a8537f8a89, 0x4fa4728ca979f5de, 0x530c25bd9748ecf3, 0x82cb8d4d87e484f4,
        0x8d9d2a836b729a97, 0x9f5bec6e97cc2ef2, 0xe70f65686cedd858, 0x45d0aa5b7f6c0389,
        0xab586dc20481f1a5, 0xa59f603913bb6a52, 0x1d2e3663605f4891, 0x8f8000cb916c54b5,
        0x632a103fc208ba17, 0xd504c471a6f2656e, 0xa295df2de76c98cc, 0xbcb4fd95f80c8155,
        0x7ea4fc1082218f6b, 0x90cf7cdc960e57d0, 0x7d2b551b95aa3c86, 0x491401369c3169c8,
        0x378e79c62ef2a858, 0x2549a7b8d5128730, 0x3287e3876a975f44, 0x0388b57fd90ef549,
        0xd26f1d15c8e707ea, 0xb0402b5a81cd4eee, 0x9fcab7eb6b25430c, 0x26179c22806ab969,
        0x0d2f9f7f6d69a1fb, 0xb1e96377bc5e3192, 0x4668e5680516b67c, 0x238fc19198dd9039,
    ],
    // i = 62: ln(1 + 62/128)
    [
        0x651e5070845beae9, 0x337451f441baba92, 0x9cc25dca0fa1a7e3, 0x319e32cc3de7f064,
        0x8f4da6fa7f104da3, 0xc8d782d485cf0afd, 0x35ab3c5979119b15, 0x25b0797cd2b4ba9f,
        0x79197b5be89e5eaf, 0xbc0c75f8f5fdf913, 0x151dae49c136c4e4, 0xed1459bc60002673,
        0xe6cd462e82505b6c, 0xe6ea179cbdd67b0f, 0x102ea01bfa6c2e70, 0x713132388e23adc7,
        0x59721f3c19fffffb, 0x71e6d671c01902bc, 0xb789782f541c7ce5, 0xae01be1501b0df9e,
        0x3b6dd83556693b44, 0xb9486a11eed765f4, 0x8c2556bde352fc66, 0xa2f9fcfdfe0c70fe,
        0x7bc92703e34e3da6, 0x7157c079d3318d70, 0xad042239d54447d4, 0xfb1343fb0feb1b58,
        0xbc5fcd3fa3a6c127, 0x0a38a854c81d64fe, 0x980b19191d63c847, 0x85430468fe4b1250,
        0x6d1363aaf5e1d809, 0x64f599c6e1754301, 0xfbfb29236fafa05f, 0xda87ddd720b3b64a,
        0x64bb5e1a09e1d629, 0xbfffec93714b5120, 0xa984f7d5bd6ddc54, 0xe0387816f18ec9eb,
        0xd2747d2ab48fe3ce, 0x5c8f8974c2a16a4c, 0xa8060dcecf2db3fc, 0x5375eb68e42830f3,
        0xf5543401561f7d0d, 0x6c19194dfa21b18f, 0xdccb528f64d43c88, 0x61dc0742a77671ac,
        0x13c2c8253f3f1321, 0x24799ae380b258af, 0xaa9e55eec3329c79, 0xaa064cc7005b485c,
        0xa93a20b737f4cd01, 0x267f091484fe0c61, 0x5c8e4ba1862b44b0, 0x4200fee5b60ef597,
        0x0a1cfc83db8048b4, 0xf97f540f82b3a208, 0x36ed2cfebffcaae1, 0x0fe26445b8ddc6fa,
        0x13d33d1eed1bdb68, 0x5a7c22e796e6527d, 0x12cbc36345ad0995, 0xa04f048be25b7ab7,
        0xc172ca7aeb408071, 0xdc65ec151e618a96, 0xe36a10999f8f23ca, 0xf57a090e4355ecc0,
        0x2c8bc5cac8377a81, 0x1615c96db84d3a96, 0xc34455351d92f12f, 0xe90031dafe85dd48,
        0xb79bbae523504e96, 0xff57d7c96f219d50, 0xc34f68cfca3fe680, 0x34529b1d85638e99,
        0x58197cbe8a445f7a, 0x2183677bb44dbec2, 0x66f9da36cc9d7afb, 0xd0dde44c704625ea,
        0x10ed04e17ca0b656, 0x44036c88bae8c8a9, 0x663deb142d7bfa9f, 0x51c76bc956466ce9,
        0xfc13452ebc06f6fb, 0x0441b56d4b6f26a6, 0xa2fbff81a3e8ae3e, 0x9aa83603d235d723,
        0x0899ffca67ca933e, 0x5b0f3aef52dde83e, 0x3bc2623717a21f03, 0x665583589c40b990,
        0x48dc1e4578e553f5, 0x2b7dd23fc9e3f2be, 0x6a9b6199a9f4db9a, 0xddbc306302956530,
        0xef8206695e6e97aa, 0x47c4d6cd26d8867f, 0x1ca825cf40c8a579, 0x0c7c0618e3e976fb,
        0x28a804e8d3c5f7db, 0x10ee957b0ba6506b, 0xcb01a462f44c27a9, 0x045f8a3b32214a9e,
        0xd77de253205eae6c, 0x00f8ed7ee7a2ac1f, 0x89eab6edf84c3ae3, 0x2532a1112184440d,
        0xe5bf3d3f4f79107c, 0x508c33736691eab6, 0xd407831677bb7caf, 0x52ac2066c2cb2614,
    ],
    // i = 63: ln(1 + 63/128)
    [
        0x667656045f822b2e, 0xa4bbb11e0c6fdd25, 0xdb8e4afa251912da, 0xec7c7be13ffdd7f5,
        0x129be5cd5a75462f, 0xff4f6e881fc77988, 0xcfc3fac0244db6e1, 0xef36c7bbbd1d19ce,
        0x3ed26509075b5010, 0x60f981abe6604720, 0xe53a8e588ed46085, 0xce2f85c9c1852318,
        0xb8b878dd518945bd, 0x410bdfead779c872, 0x57d8cc4e76211400, 0x89e836a0cf992abc,
        0xcc9a42fe88f63d15, 0xb3cc3bf8045fa753, 0x2600108cd5f8fc6f, 0x9d44c5d9a240cfee,
        0x8af9e224f02fa7cc, 0xe74ffe480bb5d183, 0x3d9f1b66b57e7099, 0x068589b534817631,
        0xf7cbe4145aa83974, 0xceae8809b992c6e0, 0x306fc3dc2075d881, 0xe8737f852fcbbbba,
        0x51c767b399951e4e, 0x49655e291fd3af31, 0x22e307d1e9444b11, 0x33db6cbd3e3145bc,
        0xe3006d6f5ee2a3e4, 0x9811567280299edb, 0xeda0d63caff5d37e, 0xaf6517c7ddb74234,
        0x8a8128ccdd3ef3e5, 0x16533a092bd03bce, 0xf7914e08d9ff3722, 0xe477e20ae396e4ac,
        0x61a2d742a965389b, 0x4263e405df5e848c, 0x859376275884568f, 0xfa3e59d55e9dfd3e,
        0x65681f784fce8f91, 0x2021c82c880430db, 0x67e2af60498f2698, 0x5e0f691ed2fdf653,
        0x17cb898b5569825b, 0xe089d886093cda44, 0x51b2286d1dd30ed6, 0x63f235b19a8453aa,
        0xf01ac2915a6cf65f, 0x8029481cb49a292c, 0x430aa2f996a94062, 0xc5872c52314c32a7,
        0xdfeb307ff8446e88, 0xbdbef66a6eac38dd, 0xdaa1711e053d4386, 0xbd199bee939beca6,
        0xf86b2c986e9fcdbf, 0xae4146d2fb58bfdc, 0x76499c6355ddb2ac, 0x67095cd4ee4e29e0,
        0xef74d79c58b0704d, 0x36ce7466e3ebac6c, 0x2599837c97a79694, 0x052df00e644213ce,
        0x75d7a43c22deef36, 0x72abb9ace78255b2, 0x47f6c96d1a9ebc45, 0x0a708e4b848ad6a3,
        0xc6b5891d0ce349a8, 0xdfb274da3efe5b8e, 0x4197cb7a18cbe872, 0xc4b9241f4f210252,
        0xec01f8c7af5a0c9c, 0xe635fcaebff6a7e0, 0x077eab19b0b2b3fd, 0x2d664ed014ec8f58,
        0xe19c241896cab004, 0xb1d65bf88c0d4c71, 0x3559ae80c3976b14, 0x3978fc54791c6bb2,
        0xd11a4b2a25f2d2c4, 0x44e92a2c78613f59, 0xd339db5492d57118, 0x052f983223558371,
        0xfd81f4304c8d25d6, 0x68dff1ce7824f57c, 0xaa42dff8a2f1fb5a, 0x10b614bebe7ec5a6,
        0x14a53bf2119ccdb8, 0x39ba500317bb5987, 0x7a03562bbb74ffb5, 0x14c4644b784300f6,
        0xa8c7e19f2cb508c2, 0xf99a30f038653d0d, 0xf071c3de2b5b7fdd, 0x0e219b552af567fe,
        0xad5b767364755847, 0xddd181c6b1df6b57, 0xf66b14c30ef87751, 0xa4e679d37e5da437,
        0x6557c993c0d6d0c4, 0xeeb1e69182625d13, 0x580f5f74e952d899, 0x643993165445e5da,
        0x7a001bfcd8826502, 0x1847616727488fef, 0xd78f77c5d850dd1e, 0x462af90cd1d7eb89,
    ],
    // i = 64: ln(1 + 64/128)
    [
        0x67cc8fb2fe612fca, 0xda35d9bd01488606, 0x7d20ffb34547d7c2, 0xb38ad78ec59e3b60,
        0xc2df0cb19edaebb7, 0xfadca437b8a073c4, 0x752d66d15d6f9b5d, 0xa7e09dc7febb0e3f,
        0x4839cacbfc29e7e0, 0x2d139480cb153ccc, 0x65209360074ba0ac, 0x0411cd963de66d19,
        0x5dc9b912dc8b1c82, 0xef7d19914073acd0, 0x8f0c598bd4efb504, 0xef96d5c32c999bdc,
        0xf6afcfa98591e5cd, 0xcc34a61b315c88ff, 0xbb8290bfcc948b5d, 0x2febf7fbc7729534,
        0x7ebd6e9d47918598, 0x4f3f354a7e1f05d4, 0xfc602887b011b985, 0x7dea97517cbb3aed,
        0x3e63e7907b24a1a2, 0x2af51a01034e4eb4, 0x26bb2f4901d97dda, 0xd67c644efd52f66f,
        0xc4e04ed3c0439f28, 0x18a778d2b46fef38, 0x2056e09bb75a4abb, 0xbad119259ad50e9a,
        0xf3301a5655c334f3, 0x89d92a660626bca2, 0xbc9d5dfbbe049c01, 0xd830646254835dd1,
        0x79105b412f06a19b, 0x0b90e80c623dda9c, 0x7655d68e079995e7, 0xed551b429f0221ac,
        0x56fae94586f15872, 0xb6deea2d521499df, 0xb76a6495ccfa8050, 0x4819118752fc9a04,
        0x0d64801ba9143d0b, 0x7660054ef81089ee, 0xb570c01bfbde42ca, 0xe2538ebe020b6ebb,
        0x6d755fa3720d6dd0, 0x9093fd4cec69c97f, 0xa9ab7ff9fc494b74, 0xcdb51beeff729161,
        0xffde421088c8286c, 0xf13815b363af3267, 0xa610c6ac67c7924f, 0x8d2db23cfb0b45cf,
        0xbba9977b586bb44a, 0x4c624cff77dae34b, 0x80f7c1d5b93e8867, 0x33b7213bb3e3b0fe,
        0x3fc6443cc0bd6044, 0xbb3320e9c972cf35, 0xc9d06f05421d107a, 0x3d97736f874c7595,
        0x7de3ff1f504db726, 0x82221bdd1987a8d8, 0x19312076c6da8632, 0x24f7fa197f1b2b76,
        0xdc1f5abb6edd6cb5, 0x33777c8f90d51531, 0x11fc9c13c2e585a9, 0x81967a53d518ce82,
        0x3776c2b8e0f7cebd, 0xe4e7e739ad9cf63f, 0x66fb8562d47ba605, 0x000a280cac491298,
        0x7f06541c79448f74, 0x73bc9ffc0b4aa00c, 0x5cab010c42a4a84d, 0x01a8c8e6201b6e59,
        0x5e6f10abd40a34e7, 0x6618fc2f99398ca0, 0x3532354088e459af, 0xa669b923b9c4909f,
        0xa662c8364796aa1a, 0x83d33bedea6291d6, 0xc10a21d060a6ba19, 0xb77e6ad721f09dce,
        0xfcc420b0b7c99ea5, 0x70fb84c24ef245d5, 0x49413066183cfe94, 0x11ffc911eb6d3ad4,
        0x87608bd1bc84ef0b, 0xe6cf3bccde1ced6b, 0x779759e52ebc8f6b, 0xa845b586236b0ec1,
        0xb15444536cbf5959, 0x769c584489e73f81, 0x20a84578a77afbe2, 0x4e311185c56d78e5,
        0x4a7321160e7610c6, 0x610b5a4d50117c8a, 0x2cca0abf9dd718a7, 0xc64b61dff9b5be44,
        0x909a419bd29f3ad0, 0x9b57063f67d28b6b, 0x31ccb2813b9774d0, 0x00c7cf368e536702,
        0xff4e6155e5038125, 0x0c9adba6bbe03254, 0xadf09e9852cfed09, 0x90d8ac96c2a91a18,
    ],
    // i = 65: ln(1 + 65/128)
    [
        0x6921024396ec28af, 0xf29adc3ad3a4b273, 0xadea18d6c6bda28d, 0x03289542fc13c079,
        0xc15be7c756cb539a, 0x9faad02b111baed5, 0xd2abcb73e0205868, 0xfaeee8143ad738fe,
        0x2619864294637a5d, 0xdf54f20e258b1917, 0x3d5c0e3c58be1a1d, 0xe25fcf5acefb2881,
        0xde52e90b26b39732, 0x1a912150cbf005dc, 0x8b815e44c89b0eb5, 0xc6afb4174fb52280,
        0x5090f023a910e412, 0xf282eeef9c6777ce, 0xcf07502f0717aa5e, 0xccec04cffdae4aa6,
        0x95105aee6cce0903, 0x27bcc5ab963414d6, 0xf887cdb6cb057c8c, 0xd95a8cd6f3d2a92b,
        0xdf3524bf65059d01, 0x01d8aba7fb57060b, 0xe90f5d7401ea0f6d, 0x198b1af99ed98e44,
        0x3cf8e1e32d7df6f2, 0x50168ae2cf77fdee, 0xbd3da2a9802cb3b9, 0x0f6ea16540ca0cb8,
        0xa5f43304b781fd7e, 0x29f7679e8cba13e2, 0xd4140f2457ee49ff, 0xe1a6674b79bb14e5,
        0xbb26820df3766f6f, 0x5d8ec9315e926812, 0x1660db8e9279ffbd, 0x3d9bc580e51fc3da,
        0x6d4c567a869f8263, 0x45ce396f283f95ad, 0xba719e43a201cfbd, 0x4e101b75e963ecef,
        0xeb8039d7efd1f65d, 0x85505586e9d1e4df, 0x69132739697dcc43, 0x5ae17a87f2539bdd,
        0x36c099c83154fcba, 0x87cf325c19d7bf63, 0x937f704ba3fd8840, 0xae102c3c8a15233b,
        0x8fb5a3d9250d40f4, 0x48323e65ba367e1a, 0xae45d930a423513e, 0x757b1ff0759e8dcb,
        0x6d8f36b010df4aee, 0x075f24b76f5aff48, 0xdad3a7f53511ff27, 0xc98faaa60a5b7989,
        0x3ddd72dab916b989, 0x48c62a534090a2c6, 0x30e9ff4fcb837369, 0x470023211fda9b2d,
        0x059a00e0d30f0cbc, 0x4430aed8bf6a0b61, 0x01e27364f72a7b25, 0x9e37432d3b5227ae,
        0x5bf73ce320341506, 0x0b1668c829e46280, 0x051638ce3658c777, 0x5e3e0e232c51d907,
        0x582140363449d334, 0xb092f97868bf6ea2, 0x83b248cb0256f693, 0x52e10f0091f6d444,
        0x70816fc048e38c77, 0x5ea2eb15d2b21bc9, 0x7e79f5bc7d761be0, 0x5663813aab9a12f9,
        0x9ebc5fd83cabef0c, 0xa003ebeb44c898ab, 0x5f4fd11c08d0266b, 0x7b49f60c6682178a,
        0x1a3b2565f18a6002, 0xdc14d6d993ccbb6b, 0x84ef9dc214c49ab6, 0x01e3aa9c6d21c55c,
        0xf4209d7d8330c99f, 0x6121ec498bc7d0bf, 0xfdbb7f2256007078, 0xa14516868d4b9b59,
        0xd46f0fa05cd8c487, 0xb5da031dc0a7ab33, 0x4779e25d493f110d, 0x70362f451bc06062,
        0x9bafaf221d548065, 0xf325a049d75559ba, 0x67d111f897040e48, 0xd83e71ac5f0603e8,
        0x4d4ffff0b6b12592, 0xb6f848572fe51864, 0xe6f92609ae41d59e, 0x5195bb4f7239ceeb,
        0x993f929279cef911, 0x30414f11d31c3a95, 0xcbf8d5fa83d1bd49, 0x218a69341cbf0b01,
        0x270740bf1dc09ab0, 0x0445f52f473ce6f4, 0x2a4f790740f48fc1, 0xa1cec8858abcf3d9,
    ],
    // i = 66: ln(1 + 66/128)
    [
        0x6a73b26a68212635, 0x213fd4bc950d7be1, 0x1fc8ee26768c44e9, 0xf35aa69b763554ce,
        0xc08704e2adf8a19b, 0x2fb43fcd7df08a48, 0x871bbf43573447c1, 0xe875edb0181342cf,
        0xa45ab50ca4cc0699, 0x93a7f044ca0be62a, 0x29ccfd9378c83a92, 0xcf97fb0cde763f8c,
        0x2af99edebee04d3c, 0x343c84653bd793fc, 0x9557eed825ffc8b1, 0x3794e5586aa5a376,
        0x629191684cbb9bb3, 0x6570032c13e12bad, 0xdc42c4ed3928b462, 0xa8d5c601d5be9a21,
        0x530f1cb76808c63d, 0xe9e3e5ccca78dd18, 0x368c46df2c4749ee, 0x98b7b2d93cb0a029,
        0xf56aff98c792286b, 0x93b4335445ce1aa9, 0xdd13251fd2a2432f, 0x9d2f7d142fff5055,
        0x6a32e12fdeb017e8, 0x3c488b4306b68af2, 0x560293ede262700d, 0xb4393718d4480d7c,
        0xfc27e66e6cf9053d, 0x82ad93a5cc1cbff4, 0x2badfda82aa4c098, 0x3a1de9d9b5c96662,
        0xc998841c33319482, 0x390ec3520426aab4, 0xcdcf61e336c98720, 0x7a561334be89137f,
        0x1680441be457d014, 0x2bb54d5c29e3433e, 0xb5c8f0251c205c52, 0xe899e546e37dab91,
        0x810c5b6b92fc0011, 0xc87ceda1044644eb, 0xe2114d02a32c2e73, 0x21b03de7d5e91cf7,
        0xfa770e0084265f15, 0x4b18555644d50285, 0x9230ac20e5dcd39b, 0xbaa044d78d4473d9,
        0x5df01a886c06c7e9, 0xd1c43089f85c2c35, 0x72511462fa1f1c1f, 0x6dd9b1d33db4d47c,
        0x3b63297e17752a82, 0x1098b9cc56c192c0, 0xd0f831effefd2cd1, 0x547da43fa2024255,
        0xef60788f6cb36022, 0x71f66ce9a22b8886, 0x702407708cfb485a, 0xf66d5ad9d2a8f0d1,
        0xa98e2de70fe84801, 0x664936e6229a4962, 0x65857a404198142f, 0xc2ab9c65dee765a3,
        0x770988b36caad197, 0x5d1b87a1763e8891, 0xb32d1bdb1363df85, 0x434479a9b08f1f1f,
        0xd9d56a4ef73d6fc5, 0x19ab475fa335da25, 0xa40e6439694a608b, 0x100462865f5f8056,
        0x2a9207e7f509396f, 0x8bac8a1b2b7dcd0a, 0xc1389e359af5c487, 0x75cfb2ece44913cc,
        0x36523673d28b7f71, 0x30e6d956a9b77d40, 0x5c84bba437a8b8ba, 0xd660b86429020338,
        0x5f0c1464488d9804, 0x31da50e3cc09c74e, 0x312f3612febd12fb, 0xbd8f72f62efbe199,
        0xd0317a7a90b8ef3b, 0x2193559a2e2525c1, 0xc84be78a09d5902a, 0xc100efd2925f2971,
        0x0c9e2923eff80992, 0x856d2cb96bd9ee14, 0x0598093f5fb98169, 0x515d28f99b6acbd8,
        0x12be436a556f7988, 0xbd75dbc8ae5fbb3b, 0x32d8c866cc6edd68, 0xea3209bb1e0593e3,
        0x345bd3560ef55678, 0xfb01e7230b6e4448, 0xcc7e19b2b95fdd57, 0x81b8a99f500653e6,
        0xbb20afc9d3473343, 0xf0bcc5ee997d80f8, 0x0288b4e38a07e859, 0x7d4a6bcf1e9c042e,
        0x56ca99b6d569e01e, 0xcae4bd823b1656ff, 0x5128bb059d244a4a, 0x1507c35e1c280ebf,
    ],
    // i = 67: ln(1 + 67/128)
    [
        0x6bc4a4c91de1ac44, 0xce11285770a030e2, 0x6824be4383242af8, 0x84cbd5943cb06ae4,
        0x3d38c1421468b8c3, 0x731e5306483fe591, 0x2fa2777a98be79c0, 0x8fe97f1b1daeaf7f,
        0x5d9041249e25e95a, 0xa214f6d2283f4650, 0xbb9da39c80f44ed8, 0x0b677e81a3c28e6d,
        0x2ee17435998b145c, 0x81bac01ba94b804e, 0x9d95d839ad25f1d3, 0xcb7575402b29f934,
        0x3aa64491898ada33, 0x02bf56f3465ce9ff, 0x19d4cb1328a57606, 0xb88dfcaf4ffbb667,
        0x985595cd0fa93df1, 0x6211c2c46894a9cc, 0xcec732c884af69cb, 0x4d4b32e7f2c70158,
        0xc95f167334a7e983, 0x0fe464881c9f0bd7, 0x37cfde0c18271cc8, 0xf5d6967cdf646d47,
        0xddb1521654aa788a, 0x32f615317e037248, 0xc017679ebf3e9b8c, 0x23eac0b9599e71a9,
        0x67cb63f80d6d249c, 0x65cbab735ce75820, 0x89316908f908a7be, 0x45e6156f48c102d7,
        0x4a163bf77e64c888, 0x9b11316268353210, 0x5f34f1887ca63e53, 0x16566d2a4a03e9e2,
        0xeaae83c9e8cf9001, 0x72230faeb6884fce, 0xac0f299c6fcb45d8, 0xb0f72bbc2f6f0fc6,
        0xac3d353de6715c4a, 0x6f0b63df9e66d72a, 0xef3f84e44fc43f9f, 0xd4238f89298e0c4f,
        0x3af9d2404e09b2c9, 0x4eae2dd2c8537b4f, 0x8e101df708284de7, 0xd2952397fb6a74ff,
        0x8ac29692b90521c5, 0xdeb2b1e2e6d9e42d, 0xbe5f96d59e8336cf, 0xfdcb4bdcf7098af7,
        0x8fb400be27af8bc7, 0x38404584bd50601b, 0x765708638e42b666, 0xd7ba4fd771049a4e,
        0xecaf826880f220b5, 0x00080868b43a4313, 0x89639af23897d380, 0x25a86bd5526c1f9e,
        0x96ffe7ebcb9b3e41, 0x98ec6f09324e605c, 0x882701721ad72839, 0x085a74d8b620d762,
        0x810819086a3b8dd8, 0xd0fb44ad2da5a997, 0x5966dad679f8a054, 0xafba0759e809c9c7,
        0xa1b258d70d936427, 0x2d42f9b70628d263, 0x521049a2d60a814c, 0x4e5a2c8196093434,
        0xb45ad573c70b6a71, 0x7479cceed8611863, 0x67af7768b36c5829, 0xa41b449f84a63227,
        0x9d7a421c58be2186, 0x08571f1e9e9073df, 0x2079f18852f3a732, 0xc0f596920c6aaf67,
        0x56379c02122b6f8e, 0x35475d9e732175a1, 0x49ef8318a541e2d3, 0x64dd4e60cd3113b3,
        0xa21e4b8fc556eb23, 0x034c795a8b84f4d6, 0x0b08dd1484311c00, 0x5ce48d37e6b2d363,
        0xb173ad12ed46d18f, 0x1d8795b35bb4939a, 0x8fd74f7d3b933f9f, 0x221c2bec6ff8b3de,
        0x56343706ea43cc9c, 0x091b9f89e882d7d9, 0xe54cc60846b9806a, 0xebf63a50955d5b66,
        0x62a46bace18683a2, 0xb7369c5eff2c6f7d, 0x85b432fc133574e1, 0x26076457aac2995d,
        0xaf61dd84a94113d2, 0xe2d17c9688c1e741, 0x5f71717d28cfe41e, 0x0ef8cf602c51aa40,
        0x5e7cb028f2e0b9f1, 0x43a9292545a13c83, 0x6b390c3d70785c7d, 0x7772868f95c7866b,
    ],
    // i = 68: ln(1 + 68/128)
    [
        0x6d13ddef323d8a32, 0xfbb6aba63878ef20, 0x53ab4d08603cf111, 0xaa8920b12b96a198,
        0xf528ac22e8c5ff87, 0x775c37c2725e6611, 0x0e4e7e63f8dfce5a, 0x777506394064e2d7,
        0xdc89809c6e210d58, 0x7d4bcaf6169001c5, 0xd261ae0d896ef16a, 0x8be1ce48d881f3fd,
        0x0e9c77f710cb7431, 0xbf8c4fc3619e86c5, 0xbe3325b8a30dc088, 0xbb08f9b91c108f1e,
        0x8fe6972be195eeb8, 0xa1cb3b5905a12faa, 0x73b2bca1274fc551, 0x58de52b6c3d61034,
        0xd3675ac08bd9797c, 0x416a465267d15d26, 0xaf6ee96e353a10ee, 0x2f5c415f4717ddec,
        0x56e1036a31e1f410, 0x424f5c46fb912094, 0x03c34130d539eef6, 0x6be2f8d221322ccd,
        0x83925801953da278, 0x74854d2a884bbdd2, 0x79a90f0ad7947b0a, 0x9f7be5e6f04836db,
        0x833bd05eed108287, 0x35849d88450d6905, 0x2eb11cb2a086f2b3, 0x812946e5362daf01,
        0x15fe600b72aa8928, 0x5df5e00ff8cf77f1, 0x40b914c2cb2c7c6b, 0x131badbcfbc9dba1,
        0xf4b6d7ee05da4b15, 0xd873ec2085d5bbb5, 0xe2c83fb4650d862e, 0x2a644281da33dbe6,
        0x2f8866beb6d287c7, 0xd77b00c1245f4e97, 0x0392446e803a64c4, 0x85ee442c2c2a19ae,
        0x15d67eace93bc9e6, 0xef80e9b74c244793, 0x480b7cb65af1ab95, 0xeabf2a7925312ea6,
        0x10238facd0a79444, 0x8f983aeac285330a, 0xe391c6894cf7ca0a, 0xa98598484ca4f7a1,
        0x72810228a9e626ba, 0x64679114c54dbbcd, 0xab296d10d3002447, 0xb26809b697515e90,
        0xea748ad90be9f9da, 0x09cc9dffe66cd935, 0x34b7c3fcea182043, 0xfd9bf950086e3dd3,
        0x30a2ea7e9df79d92, 0x5c04ef1a1cb5e930, 0x6e9e26be5afe67cc, 0x8f2cc3f59af1ede2,
        0x18b2e5e43b6df279, 0x96acf640a679f797, 0xebd5d11bfd338a63, 0xbd5ec72d4ecc6db1,
        0x3d4227332422a0a7, 0x2cbd98c7d215f557, 0x4fb3861e7b83ed81, 0x840cc6e025f3e00f,
        0x4c6c659128d24e1f, 0xaad9217b9dd15555, 0x0f6ee3c0b8bb30f5, 0x486cf572e497542e,
        0x55244fdfd951be5f, 0xd61d9c57abffbf92, 0x3a319ca88d38f354, 0x4c23752abb9c9cb4,
        0x0a3d829dfb2f322e, 0x6696da0ffd32f10e, 0xaa4b2154b184becd, 0xd92b66ac1db27fd8,
        0xb9c76706aa3fb842, 0xadf86f79140147d6, 0xa942ea1007a9b110, 0x4030e3d9ca853500,
        0x0e38e6a4ca39cfc3, 0x2c9fd7f91c67be54, 0xafc15d42bd400650, 0x8c05e6108472484b,
        0x59b703bc66d6abc1, 0xa9e3d9e61d9ccf76, 0x89f367f50cc22597, 0x958b70c9791a9da7,
        0x5ff5ee0ea4fdef8d, 0x864eab0ebbffb6e4, 0x9bcfb1a41f29ea9b, 0xbcfe4103e0d4bfae,
        0x682dee73f0f0b633, 0xf48eac999ca4267d, 0x5e0ad1cc11185399, 0x354d28fa494d0b20,
        0x7aa6692aefbee207, 0x0363650ba63a9b46, 0xc7ce54bd74759ec7, 0xf05398a3f792f4d7,
    ],
    // i = 69: ln(1 + 69/128)
    [
        0x6e61625a4c43ed66, 0x3ec53e23bc39ef20, 0x73ab462020505b04, 0xc95f40096133b646,
        0xfc2b97f797b8243a, 0x0b479be1524e778b, 0x9cb28ef4b7cd15b4, 0x0d2b465186ae07d5,
        0xe61f1aaf8bb75823, 0x917f79495f719621, 0xb20e8632edd4809f, 0x154df773197a779b,
        0x565babb3491661be, 0x106453c88a2a12dd, 0x1cf59ed05e5609ea, 0x52a9a0eb9d937a4f,
        0x84898b99bc05e65e, 0xee00fd3084ad47ed, 0x98bbd0ccf7fe19ed, 0x362e64ceb8cb7dda,
        0x8e0d6d877dda81cc, 0xbc3a763ffce4751f, 0xf62864a1f4e55e5b, 0x627b79153d6ce5b8,
        0x3db6be0ca301fa0b, 0xd22bf81590407a12, 0x29b8537a3ddb99ce, 0xf63fb10222bdf9e0,
        0xadf86d4ee0e6dd6c, 0xde6fa970a8a9b3dc, 0x4b58d2182623e174, 0xbebae425260fca38,
        0xaa89e57d10d9e57e, 0x4d2ac6a0d56256b3, 0xa56d6dc2b713d2be, 0x0781817700d0b000,
        0x5cbde93c0e38ad5d, 0x73edb8c11ca18014, 0x2fc03ec90f033ea2, 0x08bed3e7a0a8c026,
        0xa7aa82dd3f48e67d, 0x06da84d00fa713d1, 0x1530b536e9b98041, 0x992af0712a6010bc,
        0x5133b6deb842cf7f, 0x978adbc4473ba1c8, 0xc32b3df1c7d785be, 0xb8f623eea832dbb7,
        0xcf7a6b1d6273ee53, 0xa1527071e6111923, 0x3ef1a8cd2c7cf45f, 0xab12983d159e4ee1,
        0x8d8e336affb11745, 0x276146e914c1f7c5, 0x940aacfece575212, 0xc298d7ce9dc010ad,
        0x34eaa63a1be7b0f9, 0x7a88dc41b841c868, 0x2d02c028e3585498, 0xb03c05e814b55836,
        0x4d34af353ced7c7c, 0xd1bf58131eafe2a8, 0x38814dc6b460d7e2, 0x540fb6f3c2bb4ed5,
        0x5bb3cf2da001f7cc, 0x83c3e9c06e76dea3, 0x4769d4688b2ae0fc, 0x0666b5ea82a8b030,
        0x238c83af7d9bc492, 0x01efb42a87a13212, 0xb0ee3226528d93f0, 0x88ee3e0cf3468880,
        0xcd88ca349cef1b1f, 0x23fa71a2c28fc804, 0x6b355c1b57e6b173, 0xf96ba16e9ccb63f6,
        0x1d52ad7e6e11f588, 0xde4ef10946fe4017, 0x240c846bf1300d5e, 0xdf0c651c55fdf580,
        0x2146bfed9ad1f0ba, 0xe60c9fc0896243a2, 0x4441e526877a45be, 0xd128aa7b12ab4441,
        0x37d4e63acaddc5dc, 0xa74b7ac086919121, 0x9770f87b3f044320, 0x204d9ad9b15abc38,
        0x8ff442de69b42f1f, 0xf7b0eaf062fae64c, 0xbb0fafe25a4d3eb1, 0xeb925cb2a3b10da5,
        0xfceb8117c8dbabab, 0xf31dd74fb35cf7ab, 0xcf89c3330d02fb77, 0xadb5bec52981f16b,
        0x9196185c3caf0fac, 0x51366d20b30e6105, 0x788fbdc620efe8d0, 0xf92022623baca7e0,
        0xd28f36a97751e1b0, 0xdba534a978988840, 0x79e09c04f67dfe4b, 0xa871a5b742c3aa6f,
        0x4f958aac6ab61071, 0x02356e03c5718f7d, 0x319c41eb4d4ff0b6, 0xa1675a011d94ba8c,
        0x0dd3448b6933dfae, 0xa0d03deda5af81eb, 0x1cba0992bd8d40fc, 0x6d9bab51736ec0c5,
    ],
    // i = 70: ln(1 + 70/128)
    [
        0x6fad36769c6defde, 0x1874deaef06b25b5, 0x2c1be100233b3294, 0x92f74d1ea905792e,
        0x4d17b0b18b728a55, 0x50b64bf2994646a8, 0x1210ab026cddd596, 0xa9f31cbc7b6da0b1,
        0x47b5a2183518ba7d, 0x23e32b8458366938, 0x2c0f1f2fc90701a2, 0x4c742d1ccdb8430f,
        0xbd7862262fb6881e, 0x648821f4cc46bd77, 0x22eddb15152d8a87, 0x0c6070691719b6c5,
        0xc541e410a156b658, 0x2ea0d50d6044b23e, 0x7bb83b95386b2ec0, 0x269ea8320ef83755,
        0x9acb76bf51dfb3c1, 0x37f393505fc47d03, 0x7c05fc31edd06128, 0xbf476c1de9104cae,
        0x6821def763786ef2, 0xc6fc4e7e2ad988a1, 0x7595a238035c75cd, 0x5a7d323a2829a189,
        0xcfdd7f0d26503e34, 0x2fe84f991b91e4c2, 0x97b24611106beeee, 0xbe1f7610fe62c000,
        0x3efc42790a821e75, 0x549afd21c3ebed68, 0x21512e4f4bd6f416, 0x9fe3ff0bcb8ad4f5,
        0x65edd35e06163959, 0x0c180934a4684d26, 0xe2138a1a5e29ac11, 0xd129601774670d68,
        0x2c6e6da0935121e8, 0x4b6c3b071ef22161, 0x603ac695946092b3, 0x38d8ead81deb0307,
        0x92a5241087302c82, 0x8574f88433023c06, 0xfba848c3b4e537b8, 0x6dc620c869cedf26,
        0xd1f91f8506a31f7d, 0x7da49cd3f901279d, 0xeab9060739955c56, 0x2ab6e82131ad896e,
        0xc1f25c705b3e4116, 0x0919ee66a28b95b9, 0x1fdae8cce1925792, 0x6f25e8faf1bc7e22,
        0x8431314547394db3, 0x62db3925c04aaa08, 0x9fe3f00511363d80, 0x830af4925f5b244c,
        0x064ed3d8ec0f86be, 0xe3ba4fd30f3ddf1d, 0x041aa34b2f815c9b, 0x56df2dc84f11faef,
        0x302b8367375b9b07, 0xde93ec81dfa2f472, 0xe6e7d6edc2566682, 0xde49a772fb291946,
        0x1ee7456365510f93, 0xbae1fd0978a99111, 0x6dab9ff1c8c075b9, 0x662d0de3378e2bec,
        0x2ea4705cf2e930f1, 0xcc8d84d7c9781d68, 0xc8e31ac980f687d5, 0x0fd63ce0d8bc3b85,
        0x150ac18f3135375e, 0xa0f5c00892c62ba2, 0xe21f5d4d82c47f45, 0xcd13ad6290afe6e9,
        0xba9d5bdf081b7a31, 0x14d2be0e6b828c7f, 0x45f9f0b1df11fc4b, 0x607ba2c409aa07d5,
        0x08f54dfd7d06e565, 0x77e8aa17e7c99599, 0xc2732e3702259622, 0x9d6f0bddaf5ed137,
        0xc9d8470b7652150b, 0x8ec15015bc52c00f, 0x22ae04124eaf6677, 0x74acdce098ad1307,
        0x92973aadac15e853, 0xb33a855f5078e33e, 0x3f46e200f4caa532, 0x6c61f4a1a33822fa,
        0x18c00448e5956893, 0xf2ccd4709ae9ab69, 0x7e1b1fcb919d97b1, 0x0ed6e479e2e5f34e,
        0x8beb5057f723ec10, 0x1d83ca417aaae1c6, 0x014d378d4a8850af, 0x58d7ca9548fb5e84,
        0x2a672730d8729dd7, 0xe4b93e67dc7224a5, 0x1a442d796aee6cc6, 0xd98f845d22c4b340,
        0xda665c9ecbf4dfb6, 0x6549f0eec8fc6eeb, 0xfeb1b2b127c3727f, 0x44ee05d6f73951c5,
    ],
    // i = 71: ln(1 + 71/128)
    [
        0x70f75e9f36b535ce, 0xcf052dea69b60bb5, 0x18e57d814099fe79, 0xd2bd6d07f0a1b552,
        0x9e8a6c59682717c8, 0x82649140a2533c60, 0x0c272ece98048347, 0xd7b83c6794468a54,
        0x87b5f3fdd0f17e85, 0x8272db3eabf133f0, 0x79c571957f75f549, 0x531edf38ebb2209b,
        0x94d6daa2d33b5fdd, 0x63fb75e9a3dcbb9c, 0x083bac7cc05e5896, 0xa062204d5d2260d7,
        0x3d96e7d00fb37d8c, 0x3d6d6daa446dde0d, 0x1a070c2c65c6b4aa, 0x437db07f96bdf834,
        0xb8d9943b2d2708bb, 0x654de713228de9ae, 0x34c962dbec6faca0, 0x155556055d071ef6,
        0x3a5153510027d855, 0x1c91f5aa4c68dbaa, 0x5d1647564fd5d31d, 0xc79440bcf20f0aaa,
        0x8b87546684a11f7a, 0x5d6ddf6db0d0de16, 0x6af9fe05e42432b1, 0x4c779e7b6aee4d39,
        0xc03ea63d8305fb80, 0x996e837410aabf6e, 0x17a4739456fe5fa2, 0xa4aae6849e7b5a53,
        0x7e78de8aec0f1d3a, 0x1bb9d1e8e56246f3, 0xd464d6c3ed6dca36, 0x7504237721a60d3b,
        0x5ba656fb709dea78, 0x420a17a63c7a87a2, 0x346c0c95e5b784c5, 0xe6d9aa8aed46eedc,
        0xecdceb342c77bb76, 0xf06c98ead474058f, 0x65f98ff486bfe496, 0x67f3c89b61f9b270,
        0x71be4e1735c681e3, 0x9fb0658baf82d699, 0x9dc5e52e54e80642, 0x7e9b6e24b25f8157,
        0xb4f1f683ff8cb017, 0xe4af20785ba0fd3c, 0xbf34eb5a4551098e, 0x3f2022f16a474309,
        0x39c03b9ed2e1b12e, 0x9fb58871cb7ffcf6, 0x1d09ab9403907234, 0xf2a82e8b0677de3b,
        0x7fb29972a824fa5c, 0x3fbf752315d85cc6, 0xc1df45563a64ffa2, 0xddad193afd957131,
        0x5fcd6673c4e4cc2c, 0x6e732aeb925e57fb, 0x69c2dcf145fcf8bd, 0x91f80934121544b9,
        0x72e1e15ab07d3379, 0xfb9351227788c1a1, 0x3cf5915856788ecd, 0x914f68010e6168d3,
        0xa714536ccc958239, 0x989ce72f280310a9, 0x90efaba87b4fd9b4, 0x5c8b50ecf2573336,
        0x6b1f6a35dacca3bd, 0x05193ccb523d88bf, 0xd2ac7ce2e2662055, 0x3ce642639ed8151b,
        0x709bdc524c74b0e0, 0xf143cc11d25654a3, 0x87831c4656f83443, 0x2c1af16e6326adda,
        0xcd3e30641fe9339a, 0x527c2d70f29a3fb0, 0x53552bdaa203b160, 0x8b168329500ddd4c,
        0x81ac8175f18fc973, 0xf63412fc2c3b61fc, 0x43b46ec1f59c2315, 0x330f9d910577c17c,
        0xb8a566e2ec551423, 0x35440aeab4a1ac22, 0xff3c5c12a1159101, 0xa7c2d5633e2eae4b,
        0x550c2f5e748ad637, 0x5e83031c1fb9bf7d, 0x0c03ae81ed5c36ae, 0xc8bbc50f70c162a2,
        0xd47411c669a16a01, 0x88deb54d99750087, 0x5b10940677b5461c, 0x43ecf7c6b89c9728,
        0xab52dc7df5e2f446, 0xfd0b18d47eaf963b, 0x2d86c1630ea2f3dc, 0x043b56b94151b872,
        0x96585caa0275da06, 0x75b4686a28140ad4, 0x372eda2f3b8123a5, 0xa5ae5000ea426419,
    ],
    // i = 72: ln(1 + 72/128)
    [
        0x723fdf1e6a6886b0, 0x97607bcbfee6892b, 0x8ecbd4e8235b8362, 0xe1e267eac97f8e8d,
        0x432551faf9ba7754, 0x62066c1da11bc8db, 0xd3f90b7f810e4f3e, 0xf0706129aeae65d4,
        0x49df088f86a31455, 0x120e19b65dd83ce7, 0x1fb6ceec2e57f66f, 0xaa7014c3cabe7219,
        0xa2666caf6aa2cf6a, 0xb15bcbfad2a3b4c8, 0x7807b99394a9baa9, 0x17e39dd63cb0496a,
        0xe27fc1e985af8f62, 0xa05e7b9ff1d8c6fb, 0x8deea8a0d3a90dfd, 0xe9d4701e46a3b882,
        0x94bb719dcb672def, 0x741b7bc0f93effa8, 0xd733750de3c49b3b, 0xb3a58f2e62b5c8c3,
        0x0f823f5864179825, 0x429b4954c8fd874b, 0x182ffb83aa75fab3, 0x009f175e7010f624,
        0x3bc1d2284958e555, 0x072b4ae374aee167, 0x3e032bd01dfb9dae, 0x299df4d92b769b33,
        0xae4934f980595a41, 0x0a8172e681a046aa, 0x496ec3196b0c4236, 0x528a7dde477c369a,
        0x1364ae4b547fdcfd, 0x8a80ae42c338450c, 0x928b6b3389f1ff32, 0x11ab8aa383dd6894,
        0x20d4325e807585dc, 0x1ba9bc1ef212e80c, 0xf19f29ff9a60cf00, 0xb160464da399d624,
        0xc7b6ac40a6ad5cae, 0xe4471e045c0dc9a7, 0x6b855f54fe9d4793, 0x9f1d6b6193c78d25,
        0x6017e41d94a2cb66, 0xb1f0295fc33d3147, 0x339c43240bac9149, 0x73eadf928fec76d7,
        0x7b54c3539b1669c3, 0x5ffec54ec6afd217, 0x072dfdd2a8ed5a6c, 0xa2aabf8bea704649,
        0xb95cc3b9f778cb65, 0x54206403597d332f, 0x9c16d47e97190090, 0x1d6a7e4caa7acc54,
        0x3df342e01b23bc40, 0xe8d9161c9e5c3eec, 0x1e005324ab37a95f, 0xe6fc1b371efe2cb4,
        0xb7d3b5f967aa0d35, 0x50c2301b26655035, 0x34499dc26a35723d, 0xcb34ac29e676e26b,
        0xe5e3e847eef5256d, 0x13efd21caeee916c, 0x7ae35eabb95ea356, 0x38144a48e885d03e,
        0x1b0e2247af542d09, 0xc675520df692319e, 0xfe36ebe67904a2ce, 0x1eb67ef0273db58f,
        0x7b7c80c824c954db, 0x26d46a94ef9ca70d, 0x76be244611a743d0, 0xd40fb87cbf06ee24,
        0xe78b4dfb489016be, 0xfd33fe5dcf6c493c, 0x2ba2845493ae1a53, 0x24d03e37f969e714,
        0xdd553c7488b3868a, 0x5b7bb65c61136108, 0xd506d13e5f302447, 0xba93c752cd1d4e88,
        0x57f9137c92461ee8, 0xe5669679c3d0eaa4, 0xf9fef98979179677, 0x0bbec6634218d524,
        0xb3c5c8528fd78cf5, 0x3d4c3e9ab6f8fc7d, 0xf5b8866a7db13d3c, 0x6e17cb5cd107ce28,
        0xd161830b45375ab6, 0xc36dc1104917dfbb, 0xf566cc22f67f815a, 0x1e69f228efa14fc9,
        0xfeeecd789f07cb1f, 0x2e0a714a495225af, 0xe294c0469a9ea348, 0x61f69367adb66bf8,
        0xd778e8bad71e8ff5, 0x52a492ef2a1e006c, 0x5ccae131bf976c22, 0x69c456ca6aa676d9,
        0x4375f242c99cba44, 0x14f8eef735f9c201, 0x8d54c1ec1022d0fc, 0x9c62657f5f22d45a,
    ],
    // i = 73: ln(1 + 73/128)
    [
        0x7386bc2e17cfaded, 0xf4af2ab426749c43, 0x19180165ede56473, 0x30f2257a6940f2da,
        0xac982b713e4cab06, 0xf09f4cae5046a410, 0xbaaa4e9f0d5e87c6, 0x6ec32e265c1d0e27,
        0x684de662b14c4652, 0xbf5bc72e9da7a4b4, 0x9261d0af43d1702f, 0x3376b351105fa421,
        0x4a9e1e953de5bf92, 0x3409d2ab785d0fc2, 0x2c432458342f7574, 0xbe8fa15e5948c0b0,
        0x16104c849a812976, 0x169c92f4ddd82d12, 0x87fc191e98fa3ad4, 0x78ed0ef58f78e100,
        0xdc425f81adf07a2e, 0xffbb8a31e1ae4dca, 0x9e359ecdd2271f3f, 0x83b8a6a71168543d,
        0x73ceaca7c1ed4642, 0xce18faf1a5d255d5, 0x54211b8efdd38c5f, 0x52ca104378fee7c5,
        0xc7f48de2ce2b375d, 0xeaa1971cce162b72, 0x7a9a91d730302b22, 0x5860e1abb66b0c79,
        0xb89f51294864a738, 0x3b44d2e21ef72ec4, 0xbbb837e2ab9c7eac, 0x89a4934048b92209,
        0x1633cb2b0256032a, 0x78bce126e59bc007, 0xe738c82dc16d244e, 0x1a689898b735097e,
        0xfe3e7ff0ecac9af1, 0xd9434f0d1890073f, 0xebfb302b05b4c359, 0xb2d8767c38fc4a97,
        0x739e44c9244d3e3e, 0xe52b4f491c871a8a, 0x559e077262b38d23, 0x2d297aede4f3be5e,
        0xbc442ceaa4434ba4, 0x568e51541ac9b500, 0x594fb31bb91d289d, 0x043ea0455fe512f7,
        0x4df16d1eed2dcc45, 0x1ad99bad0192b6d1, 0xfc1fa9791b7661e2, 0xd83dac92ea4f5cbd,
        0xc109cd37b616366b, 0x92034e519a1c40d7, 0x55a8fbfac9c332b0, 0xd728729f29889238,
        0x5ad315f53a96d931, 0x4fb4b2d98e72a78f, 0x9e20db80d42d13a6, 0xb5364c75d533e471,
        0x116a7cb218d77028, 0x2c1c86c72b2f662a, 0x59f2486773f81e2d, 0x94cd00d0af8d005e,
        0x815de3166135980f, 0xd8b46fad5f143c1c, 0xc49d708898a46a51, 0x1dd05529b98afdd3,
        0x07101c433b73af05, 0x9caaf97754961129, 0xbb247457bd18ee43, 0x0bc409ed02141f20,
        0xec744bbe54c6df95, 0x1ff17ae72686850c, 0x05127daa1ddde132, 0xafa83a59723a781c,
        0xb86d89dc226be0b0, 0xba555815f4129223, 0xb22d7d771c2e3383, 0x1819573bbc00133f,
        0x68a3ba1e0d2a8ea2, 0x2110c23450d82a6e, 0xbfe2e026f0ba6e6e, 0x856d63076a4b4922,
        0xe4d5064b41d194fc, 0x01a7ebc058721401, 0xded2cc8e2fe88dd1, 0xfc35c34e39b41144,
        0xdb267f4570dbe6af, 0x05e3bb8c9e5b475a, 0xc01e9b3f32b0c29e, 0x78b64a497c28b2d1,
        0x1feaa3573046394e, 0xa97fd0d87640b7ee, 0x9bed93525cdaafa9, 0x394c25be20f828d5,
        0xf91731dc6550bd58, 0x32b6720c9c14573b, 0x466795987b91fedb, 0x565a95ef6fa957b7,
        0xb3c51c2c1ad35a62, 0x2f9d6cf4072afb20, 0xee88d9336308a6a7, 0xffc3db8f0e1e6f59,
        0x52aa2e531c2517fc, 0xe40da514b5d1b27c, 0xd658a26f4fe28855, 0x4a8a18bd50620a69,
    ],
    // i = 74: ln(1 + 74/128)
    [
        0x74cbf9f803af5587, 0x7b232fafa36fd18a, 0xb4dff5efd6e583ff, 0x1279aed9025705ed,
        0xe48da1636915d53c, 0xe57cd3270abb7696, 0x2651580b90b72371, 0x17c86357efccd9a7,
        0xd670ea79660c61c3, 0x979e3327023f9007, 0xf11ffa89160bc924, 0xb0d50b8484277be7,
        0x8a81d4783fbb2431, 0x8697f3cf80c0732d, 0x98b8d22cd420f357, 0x1fb4815e0db4f7c6,
        0x3b37d5f709b52f2a, 0xf40b7aa24cbbe71f, 0x6b137dc437475838, 0x874c574fef1b3026,
        0x7f68d93cf768dbbb, 0xd8ab6eab3834eb0d, 0x947f22722e475a76, 0x3b685897279228ed,
        0x8484e775b0bf6f69, 0xcf7875f56da49d9d, 0x490c69426209eb68, 0xfacdafd2dd34e1a2,
        0x93cffd7b0df57da2, 0xd2d06288626d2246, 0xec7cf865efbc7719, 0x296b3c45f56387d3,
        0xfd3e838963494949, 0x53b15872a7581776, 0x811f3ecb56dd8cf4, 0x106ab99f7e4dbc90,
        0xdc1a9f58a7f3462c, 0x5dce62ab9f91387d, 0x8cba72ac1fc7e641, 0x3f3c3f70f2040ca8,
        0x56290037c9e50dc3, 0x6818417038e483a1, 0x926b35dc9ab8bc23, 0x763e12bc8402e314,
        0x8d2753807788201c, 0xf7f8ddcea4ef8913, 0xeccf7104bbd15412, 0x0294d9f54a6d19e0,
        0x167cfe7e1c48c701, 0x475c6c6b85a73d58, 0x9c35bd722698b52a, 0x8f6d2aad99124ac5,
        0x229e63d347a43de1, 0xd99c28258a956678, 0x96e6eac9f590c736, 0xce63a26e38142252,
        0xa2ead1224a13ee35, 0x38086f7828becb76, 0x7fad8f0867371bad, 0x44840b73acfa8b5b,
        0x8319c1943e06e0cd, 0x40ddae9e5b101512, 0x0eccf0d4ef6d1473, 0x05e81f87fb416093,
        0x417d691229a1ce7a, 0xfa9be1dc0d6ac039, 0x88e437d21621b623, 0x774aab5ec40fcf02,
        0x8fda9ab24f0b1678, 0x21f6e03e47676293, 0x89a81cca99c4bf6f, 0x7378798e14a46899,
        0x0a4f40d507e74ac8, 0xc2d47b35b541c0f4, 0xb8a5176807b485e2, 0x2f2a9ae29ccc93f5,
        0xbf4632819548d2b4, 0x35e191f6433c585e, 0x6feac07ae2adf739, 0x436a847155f910db,
        0xf989056f4152e266, 0xcce2d75b690119ef, 0xe0ec49cde8218ab3, 0x892b0fb1aacca61c,
        0x71a26ec9c3803d74, 0xf65450cadec21502, 0x70056fd2f6f53507, 0x70226e8fb8aa1a3f,
        0x3d00eb51232f18fd, 0xcbd2397799b23329, 0x8e909e9b5569f29b, 0x9dbcd6387d92bff8,
        0xe6b28401038214ea, 0xd62e9aeb917698d7, 0x3f056b3c06da5d0c, 0xf72e1f306530cf9b,
        0xcf8a1f427d7c1fde, 0x70a35c3a1907daf7, 0xd96726d9dc45dffd, 0xd577482671a37143,
        0x9268a45da0eafa51, 0x4d0006f03cc95d24, 0xb2b3b3088f2cb749, 0x19408dce7a09a42f,
        0x6b1d4b1baf366023, 0x3a6d040d4168e304, 0xb059b96c1c9b9281, 0x5cde2fdea8d1dd73,
        0x67992189ae15284f, 0x4995718c1d8e2f63, 0x3c9aae20ac65cc32, 0x3a2d2fb5339e5682,
    ],
    // i = 75: ln(1 + 75/128)
    [
        0x760f9c9628bcf941, 0x456e8bb25110ea50, 0x94cc182477ebd803, 0x50800d473363c7fc,
        0x5a74aeb924b62912, 0x188320b4e62627e5, 0x55e66b44ea7efd86, 0x0333ac1d2a826c1a,
        0xc11d384b3faa0a9a, 0x390745fba49928a2, 0x3af89ec18f495649, 0xe5932dd68ce73c84,
        0x5315dfcbead79abc, 0xe292562131498781, 0x3e289aff814cbdbb, 0x8a189fbb5af7e4f2,
        0xae3c6dadab6676b5, 0x3e42bae5c95b64b8, 0xc11654a3fef4c22c, 0x5bbb56196991da73,
        0xe8f8f129508afd5f, 0xe15586f105d218a2, 0x955e01ee810a0957, 0x71f4e46d1b154248,
        0x2214c631e58759ff, 0x9e18000b9b5c6882, 0x68804ee44f639f99, 0xd81b238c43da8810,
        0xa59449b2d08db279, 0x116fa1a1ec24313d, 0x9f90a56d4770ac6c, 0x1858fb54ef22d4ca,
        0xc20e3fb781805410, 0x285674a427e43d3e, 0xdf3856412bf67ca8, 0x4a73f0778003ade5,
        0x9625dc7aefa4783e, 0x905b33e090233a25, 0xf5ece292dc026ea7, 0x08a41d5bd9888f89,
        0x61cf7ff2607674da, 0xfa8ebfbc46562d69, 0xe221fc51cac4d6e4, 0xdf2c5e921250ba28,
        0xfb184e2db433d80d, 0xdbfb28af7216b42e, 0x8c444beac3ac2e86, 0x4725c55e5c3c4f94,
        0xbd8f9d9dd69e81f7, 0x3db85ceb3eb7d181, 0xbcbc35080a44e5de, 0x5a33191fd18dc936,
        0x56f2be0e1b0a32a9, 0x16ae6452d8b3e0d3, 0x8439b9d2d0077741, 0xf1be5c4e0f0aaae3,
        0xe5fbbadbe9efdc88, 0x4b63e9c8bab3fdca, 0x435288fa5ff9430d, 0x09fab4250e4bba81,
        0x0ab76398b66e8966, 0xf32e7732f6933848, 0xd6339308e7f53c60, 0x2ac596aecb1aa27d,
        0x8f813e4a2e17e5e5, 0xd92fcda03ab62012, 0xde7bd76f4978d41b, 0x24a06ae718de436f,
        0xb203f9c5d524578b, 0xb5905d355aaf1e53, 0x2ca92b01b3f65a67, 0xf6cd27c18c9d23d1,
        0x1ec5814455f414cf, 0x3d905d0cffa9c9fe, 0x8601a33c1d77eb47, 0xe141ca6312f0fe59,
        0x797f26c1a53a2ff9, 0xb5aa8b70e24fd007, 0xafbfb72cfb1230ff, 0xe2aa01b4eec7c818,
        0x90198692ed11dcbb, 0x38ad65089fda100c, 0x84955ed081db9e7d, 0x0858ec995d4ee177,
        0xf54804da08c43b70, 0xd5e58c11b19e962f, 0x2a9fbba20f22ee61, 0xf3e050f96c4040e6,
        0xf81882da58586b4e, 0xfb20e6e948231cfa, 0xfa754356728d222a, 0x19de1853124bbbe0,
        0xdce79f8435714cfb, 0x16b890731355280d, 0x9c2ac50f65d3f1ff, 0xa99fc09c9d1f804c,
        0xdf6524a97acd2446, 0x4af55659bc07dbcd, 0xc4ab68386126af4e, 0x71df4342b1b04355,
        0x7b77bbf73f9d6d9b, 0xac37e7307ba5c681, 0x563aa2969b76259d, 0xd9c56657a7642bab,
        0xeb7b0315f6607a4e, 0x1ec62f7fd5eb0776, 0x53d9ccd056ca61d2, 0x86bcd05c3a893c6e,
        0x257a44b5450a1467, 0x50a68030c32f08a0, 0x4d335d63c581d615, 0x866597dcd1aa4197,
    ],
    // i = 76: ln(1 + 76/128)
    [
        0x7751a813071282fb, 0x989a927476e1fe9f, 0x50684ce6bafcfd59, 0x250ff6995c94d3aa,
        0x2451e71d7d60fbbe, 0x8b63c7113e5b508f, 0x0f1e32ef4518e0fc, 0x43a3f55176a1ca55,
        0xb137c4295b609a0d, 0x0e08ecc4eeda1b25, 0x3206193d7b1dbe1e, 0xd67af9532cd04071,
        0xed5d99667497fff1, 0x2bd936bdda6574cc, 0x9ef6b7078d47586a, 0xe7f6a4e8d27363b5,
        0x5c4631b618f4d9fe, 0x902bb6c7f1347b45, 0x7dfd988ed3799bb6, 0xf13a8271511efec1,
        0x08209fc90a618bf4, 0xece3b0471dd6e363, 0x8330ff7ac8b233b7, 0xacff492beaeeccf6,
        0x310af9747768726d, 0xede1496291b08887, 0x17f4f80475284021, 0x8b0b198fe8eabe38,
        0x2cad8204a4c21401, 0xeb26636c097b4d15, 0x4f15241a8d4d7225, 0x897b04adf70a9561,
        0xb22dbace5067ba04, 0x5d738149383bd252, 0x430361a1a174e174, 0x2624239b8b7da137,
        0x38db7d63a659c718, 0x5414db3fccacc6bd, 0xa069261e26739b9f, 0xc36fb44b11b5a2ac,
        0x8c5a1bd9381841c7, 0x854471142343a815, 0xecac88585227b8a3, 0x6f5ee32bcb67501d,
        0x5f156d6f06eeeaf8, 0x341e57331aa82d34, 0xa16d24e7f2108d41, 0x20d1d5d3bb55e91a,
        0xf857dbba1b439331, 0x145eae39b47e4023, 0x893292af278e1f12, 0xb5f7ad1a920ed65d,
        0x83dfac63152de5de, 0xd60d21c80abe0158, 0xb6c915919ad9f56b, 0xc03ffbab5ff1961b,
        0x5106d16297dc02d4, 0xae153f236fec3396, 0x9296860a14a03d05, 0x6766481764bfc2c5,
        0xb53be888bf82081b, 0x920851206f90267c, 0x9f0ce6527426c19c, 0x191b19c29ab9eb79,
        0x2aadfbfe5e62a8eb, 0x7e4c218cf55d8460, 0xe7c5fddca95ee857, 0x12f60820518f2c01,
        0x3d0a5942141058a8, 0x3faf5bb0bf12d5bc, 0x71f3d7bbbb1f8a36, 0x7fe87c4ba313e03a,
        0xe50b80023ab43c53, 0x1d3bb1e66693cbbf, 0x10e15dfe1df22cd4, 0x98c647a4152b8d81,
        0xaa9353046f5a85c9, 0x0664ad42b1baf3b1, 0x67ddcb5bd82238bd, 0x38a6a23c88ed9f63,
        0x32bfbb9abd8a2daa, 0x60f9e5d4b4db2d54, 0xeeb105bae21dd965, 0xdbcf3082249dffd3,
        0xf1aab7650232f77f, 0x1c1bb77327065732, 0x7f8eaeaa793395a3, 0x5eed4cc8684274fa,
        0x4494e4b144d51cfb, 0x87f962704b50e762, 0x260a459d806b5e12, 0x9f58bc79c4c081aa,
        0x4fde44f0ad2ced8c, 0xa22f01b816f56d32, 0x71623435a0716b51, 0x2867dc966b30abfe,
        0xda9cf68b3757c508, 0x7f3e80a462199fc1, 0x0c84ce6cfc925e09, 0x3e75b27b6d51fa4b,
        0xd6fb615ee567ad51, 0x722c67261561c6ee, 0xb2db1cf2715c0469, 0x272490f126a0eeb2,
        0xf7d7fe0e3cecd18c, 0xd18eded634815c7b, 0x64ae27d0e92ac813, 0xb32bef226a5f02c7,
        0x7df837525e0f1753, 0x9efeb8439f8dc74f, 0xa5c645d18f01f5eb, 0xa064edff194d98b0,
    ],
    // i = 77: ln(1 + 77/128)
    [
        0x78922069f1b09872, 0xf63d16552918d8a8, 0x07be2ec9c3da432c, 0x8750a8cacdd6a4f1,
        0x8b5ae70ce2671dcb, 0xf819a863d9a1ee03, 0xaf8088bb03e16c65, 0xdbddcce8c257dfed,
        0xc11bc69e5bcef4de, 0xe7f998cad483c393, 0xb4950b280d9baab7, 0x66bd8fbac958fa36,
        0xafa41af078a76215, 0x81810717a79fafec, 0x843d4a61a87c01b2, 0x34b54e3e77915242,
        0xfc84b07bb2eee240, 0xb378673bdd03ef0f, 0x71182e8197227530, 0xc738968012b2fa75,
        0x1339e508e7b0334f, 0x12e6c6dc0aaf3125, 0x073e940b4a6e4c3e, 0xcd34e018553997f9,
        0xcc32b4b3fb67baae, 0xea93b7c22e32c75d, 0xa07b64f321d05d03, 0xec295930966b1046,
        0xeab7a13f4cb918b0, 0x7ebe0d6fcc25c7b6, 0x8ac94fb6e687a89d, 0x3d66919626880f22,
        0xa555eb10fe90ac71, 0xe61700d96cda055d, 0x5ff23b08b8f6e81b, 0x0a97858579327276,
        0x3303508e99acda4c, 0x5d19c802aef3940d, 0x174185b0e6221a9f, 0x845685801f8a4fbe,
        0x111f90f1ee80c0a9, 0x813f9492bdcbee30, 0x6c371b18e65aaee9, 0x542d5772b54d69ab,
        0x843e17a08e937b81, 0x8052e12069490c88, 0x6230d318bde238ad, 0x54aea6785b69d7ba,
        0x41a729f2256641dd, 0xfe043cd03f300325, 0x29a0e28cc9ae3929, 0xf34753fd130b7129,
        0x23c12708b7a513c5, 0xb2559555dc612593, 0xf364532eebf32317, 0xd175ee7eeb6c3d2c,
        0x6e14e2dff983eb8d, 0x1db6a26c8b654e6f, 0x837641714ca3d196, 0x0c0cf3ca3a1ccc71,
        0x401531e0369a2357, 0xd190d2397a97aa54, 0x5f1463fd868d7361, 0x4074684e4e73dd90,
        0x46f4d374d42f23b4, 0xaf69c0f7064c2c88, 0x311cf9ec6a6d2ca1, 0xf264b765c80faa1a,
        0xacdec05b84296612, 0x8b19707d98c2ca62, 0x64fb56005be47889, 0x277adb99900f6ffb,
        0xc76df6aeab84cb7c, 0x7c4ff90a4f28c781, 0xd3246822105525d6, 0x0727eea33598a063,
        0x7b9681550c4cf5a2, 0xcb03fb015f2c0548, 0xf572a8d8f1019daf, 0xb92964ecac5f427b,
        0x4d71cfad79967166, 0x51d24931118b0679, 0x2fe32ff869682f79, 0xa9d37c855be40c15,
        0x9814bb21a132ef8d, 0x72d8d59026753e1e, 0x0401ca257644b128, 0x0d326407536c1748,
        0xc120d81c75c8dbeb, 0x41ca5de82f49095c, 0x4449cd21e5f1e530, 0x16e5df6e27a3f77b,
        0x7418abdde4600394, 0x595a2a73487cf42a, 0x654f849c05b24767, 0x5b7a4d1a89f2182e,
        0xfcdc28df6a48ccb0, 0x5829fe159e2d17f8, 0xdaffd35edc68a58f, 0x3b646890571e2d79,
        0xc0e79864494d179d, 0x6b98e8304e1cd87d, 0x8e1e85298d362d24, 0x7d3d25637c71259d,
        0x37acfcdbebfc3630, 0x24e4232ba4c2f47b, 0x893cca2b362b145f, 0xc4510a028a323a60,
        0xcc5b060cc778f682, 0x31d84b338ef57efb, 0xe467795fc700f637, 0x76d65797126a08a8,
    ],
    // i = 78: ln(1 + 78/128)
    [
        0x79d109875a1e1f8d, 0xf68dbcf2ed1bb404, 0xa18e2aa5ee015120, 0xa956c38f1899206a,
        0xb2114303946cb64f, 0xb9a877bbee0ef38a, 0x19386ee60f3da399, 0xa9caba57d0dde8c5,
        0x83cc1bba10911788, 0xd5d21ccc72ee3ee7, 0x002ae5b4d14a04e1, 0x98e8021c57314b77,
        0xa1b8aa5798680917, 0x10e801a78b719ece, 0x562f4fa868901cb6, 0xb8cb2f4bd1b304d9,
        0xf45f9139986a9087, 0x85afc0f2729159fc, 0x4b6e65576f607e30, 0x508930a30a8c9c40,
        0x531d14b4d1889243, 0xf04ec3cdcad69d11, 0xc49e3df5e2d4dc94, 0xedb13785edba36fe,
        0xff14ada202c1dfac, 0x9edbdf6b1acaa0b2, 0xe21209dcb86a6127, 0xcbaeb6614b1699ef,
        0xb24d11e406b25cda, 0x4beed843dde9189e, 0xcf3fc9f5bdbe3a4c, 0x98d05cd096fb1811,
        0x11abecdbb206e851, 0x61f4eb986ddbf01c, 0x720a123586e560fb, 0x7396a0506905d2e6,
        0x92d245a36c2768ea, 0x884d2be154f2d624, 0x8c840c4ebd8c045d, 0x995b2952692890ee,
        0x4c1e8aceaa609f11, 0x6e4ecd84571ecdc1, 0x8f2ea5024ef0da85, 0x2958e9b969349169,
        0x783df08549b5ce8c, 0x6c10569ada8f11f5, 0x317154c2b784a565, 0xff89d528721c4ab0,
        0xdfc71230b4728a15, 0x7ccc7eeff8f6ac82, 0xd5cd9a17c481bdb3, 0xc37c8db3035c5ec0,
        0xb43e13b5190563d7, 0x7026c8bb7937a562, 0xe8487fcc6cdb557b, 0x212773d4322be203,
        0x11c9eb036289e412, 0xc3844147c55336d6, 0x06fda8cd8027049e, 0x49ec97930bb88a60,
        0xd170ba8efe784d0a, 0x94baa319ad9efb99, 0x9a0d09d8417eeeb1, 0x96181ff044f220b0,
        0x79e5105b49ef5596, 0xfd61e60307b3d69b, 0x9cefe11745d54017, 0xdfd2a47df515c8df,
        0x3d3dee373eb22130, 0x24cf201bdb583157, 0x4088ee78d2d215cf, 0x9b1ddd32bb4c7c70,
        0x1aeb371e4c9863d8, 0x5eab810fccd31c85, 0x96734193366a8a74, 0x9efbb8d263165372,
        0x9e381802769b6d93, 0x96ba358c2594f736, 0x3b934ecefae8cb26, 0xcbd8c577e44e3bfe,
        0xe42c9b027e2d307e, 0xc2b95681b38ad64f, 0x7d440875c049f5d8, 0xe8eee386e2d2a463,
        0xb2d7b00d6608bf2b, 0xa5922d76820f9c5e, 0xbf56c7f7a7d7f6dd, 0xe7c2a776ccd5a405,
        0xaa4272b6aa6016dd, 0x31aa1aa24977a0b3, 0x93cc39cab61ca9e4, 0x8265e1a236b1e5a2,
        0xdc5e14353f93a791, 0x7f2a036334c53fa6, 0xe873368f7bd5844d, 0xe1604c4102f6922e,
        0xe33ba551a661030b, 0x79dfff4465c538eb, 0x9bb65aecd8f48505, 0x651ecdb61b5d8133,
        0xfd36fba0a8b9c5c0, 0x1b6724e0f6f380a4, 0x61c5b992bc71c683, 0x7eaa8f35e2db2c6e,
        0x9b21fd066942a7f9, 0x35d56fe1c4503c18, 0xfe03dc1c8d247f52, 0x39441104e7035ace,
        0xb23afa18c62bb327, 0xafa368ac6977526c, 0xd0d34b8fae697115, 0x6d871a421baea533,
    ],
    // i = 79: ln(1 + 79/128)
    [
        0x7b0e67491a33005d, 0x73b94fcd4e5bfb08, 0x972fca0ebd8e5113, 0x999b100f22d5eb97,
        0xee62d1041a908802, 0x64bf71efc45b6ee0, 0xdd6e9f6491996ce0, 0x47cd2a969d4179e1,
        0xe72f9961c56e25f6, 0x016511450b674e75, 0x8badff015f80373b, 0xa29ae9c66916ca96,
        0x5ae5932935a76324, 0x400ac03d0e163c48, 0x7c76d3543e688782, 0x3a49a87267450da4,
        0x21f50078c9528219, 0xa0b5e47697ef7f97, 0x1f356b6bab4a3a18, 0xb1033c2fcbecb2c4,
        0xfd8c0e15a2940589, 0x39eefed5ecae852c, 0x429c516d9e38867d, 0x5f75d1bc3783ec1d,
        0xfac5b16a2059cc2f, 0xd519c952b96701ea, 0x0b704385f201fe1f, 0x452bddaca191cc3a,
        0x9dca2a58ebd273df, 0xb402ea65cb7eb013, 0xd114ff46acc30fdc, 0xe2778e37589cf359,
        0x37fcbd9f78a845cc, 0x12e04a21a5acf69e, 0x1b13615eee5a64e4, 0xeab41b486c82d6c2,
        0x812a225d5b046ca2, 0x902a0b6b40e0b24d, 0xb5c6dee93cc9f819, 0x468c0c44a844fe11,
        0xff80b036f0793f6f, 0x9d81933e15cc8306, 0x651f55054e714a5e, 0xe482510267983e63,
        0x8360e3901e589b2c, 0x53d0955dde894993, 0x43b93d6b9078956a, 0xc70df03017a4824a,
        0x278952cd2807325e, 0xdb77af226a52f0ed, 0x2f8832caf93e7007, 0x633f59a0142ea3ea,
        0xe45708c3478906ae, 0xd3642c9f95b1b58f, 0x6fe43e0fff9c1a35, 0xb23a62d8830818ee,
        0x2021f607d6541265, 0x097b1136effcfb1b, 0x70dce4301439ae77, 0xdc30477b0a976b14,
        0x6ba9e245f5038dd2, 0x404abfda9e337739, 0xe83820c49cd79d46, 0x690ffe244f1bc818,
        0x97aabb0089eecdc3, 0x8e51be774deee795, 0x0c381efea3f765d9, 0x7bfbc87dab69a02e,
        0x1b7bb459606167cc, 0x03947194b85dd19b, 0xc7c1747c155bec85, 0x507fca88460a4e22,
        0xcc79cfb8496554ed, 0x26e15f270f179101, 0x7914a1f1dd3b8ebf, 0xd94a9ca007bfd7c7,
        0x40236bc36899f882, 0xf3bbac7f95939f71, 0x07345be09f2f6255, 0x01777ef0503a2e47,
        0xc13204aa0b5e3716, 0x4174f1b9f4b66d48, 0x0cc0658289deb5ff, 0x14ffeada96786692,
        0x65dc41f5352945bd, 0x7512a145dbf4c1e0, 0xa03c22114a7f03c2, 0xb3744d2560e054da,
        0x513939cfb6697065, 0x4ab2f1539c748523, 0x826f42d80bc15aa6, 0xfbff57a81e7133b2,
        0x05b8036ba87c9adf, 0x39d2afed621922a2, 0xa88a8dc4a0f6d13a, 0x140e31b216307ea0,
        0xb0e56cbee794eb66, 0x06a6bb1698ee9ffd, 0x63066176e720b5e1, 0x6c524739884f372d,
        0xed565a6df1bff0b9, 0x7cd69367781142a9, 0x1e5c778cb124d599, 0xa53e893522173c42,
        0x8f6a6a8ca8dcc753, 0x220745afeec780fd, 0xe4668f644634e999, 0xefd5b439b54db731,
        0xd6723ccdd97baa8f, 0x268f8d48178f9865, 0x01ad63f02fef046e, 0x075d75ea4f9a1e61,
    ],
    // i = 80: ln(1 + 80/128)
    [
        0x7c4a3d7ebc1bb2cd, 0x720ec44c73d75cf5, 0x649117429ec747b1, 0xea5ce16b9dfd6268,
        0xc07f81b3669c3df9, 0x9cd3cbbb0a0ba86f, 0xbda7391f3bffd807, 0x9727ebe75906267b,
        0x2efdbc2700f56015, 0x06c62f875fba238f, 0x808c448a13b3132f, 0x578d4775f6d4df92,
        0x72b30c7ca513d8ef, 0x2f6f674a37b62b62, 0x37e5436b3d02431d, 0x2a1a6856ef780e67,
        0xdaab5e053c7d2844, 0x4768a400abf94f24, 0x85b18370ee5b5dc0, 0x10e5f0827937f887,
        0xe68075d6bdedb247, 0x2208b6cc224ff157, 0x33999e1f764eb3f4, 0x41a7f20b1686eb67,
        0x28a0aa69bcdc1f05, 0xae3e256712e687ff, 0x8c4a67029e111c37, 0xab52b0d2c13e08f2,
        0x904d6ba8219be255, 0x44ea33c87b9c7f0e, 0x084e647814143514, 0xb39b623f7972d6ff,
        0xea8cdcd8aae2c7c5, 0xcc4a692f30d2ec16, 0xfd4d6047151482d5, 0xdb4558f1012f1254,
        0x0bf3aee5183b14fd, 0x6bb28605c6e583e7, 0x2d08b6d8abe2b027, 0x46b5e8b57e4bcd6e,
        0xe4f97e998cc01870, 0x0c016a2a77d115ad, 0xbdf6b3f49f347f11, 0x1be90e08fe7ed4a2,
        0x71dd8a22b8eef7a0, 0x8c48f863b55b3b61, 0xe61f78373f8c5c0d, 0x22a22fb365d7f10d,
        0x74ac1c30d0655c4a, 0x8fe7d1f2bf3439a9, 0x39c5894ddd3ff327, 0x224cbe3844200c9c,
        0x625237393f0038fe, 0x52e945b143e69e9d, 0xf6793aadb48fa607, 0x668060d7a7885abc,
        0x020d192190ef38ee, 0xd8fa980f9474807a, 0x939afce570d8c377, 0xf4bd6c611482c8d5,
        0x5cbb0fad4edb15ed, 0x5fd08295a983dd86, 0xa10e024e497125a4, 0x0bf19f7a047b4187,
        0x430d788001c23d8e, 0x2f1aee3c0fa23364, 0x9ab68898183a6dc8, 0x61edc8bf6ac4ffd1,
        0xf09f0ec8ecda9d4a, 0x19b6f972ec1e11bc, 0x5ca3c282f8874d38, 0x9b93a1b017644fc5,
        0x9303e08544146b14, 0x538e71c749e6f05b, 0x6705c42c19a469ec, 0x943fc8d4a8a890d4,
        0x843f3680d05264ac, 0x2b81c0c9ac121e1a, 0x2aeff7505a755e12, 0x8c458bba69f9043e,
        0xe091eaa4ee9bd8d2, 0x57725934186d227d, 0xc68dffadb18dfc32, 0x9725f97458162815,
        0x88462a85cc2baab8, 0x98a71419c6d88801, 0x3f2fae75c8de3a28, 0x58ea863592dbdd2a,
        0xe942bbadbf116bfb, 0xcd27ed379cbcebbe, 0xfc420fce4cdb59fd, 0x496a93d913a27cd7,
        0xa192ec1d23ed6dfc, 0x3be2cc8f7880a944, 0x30199b24d04421fe, 0xeedf4a105c52f2c1,
        0x12fc13087fedfce8, 0x4b6d61fff3b3876e, 0xe5cb3a04136e9fce, 0x8168cce0a3376fc3,
        0xa89324320d80e3cd, 0xea7b31e6308866b1, 0x28c92bca2710f540, 0xa2a66e853284be04,
        0x155a3c30855c9373, 0x063055ffe3ddf556, 0x6cffd40c98359207, 0xd33dc36df2cf089b,
        0x86d27bc17a0f12a4, 0x25a26caf20594b38, 0x10d377d9894ef1a3, 0x47d60791957c7d22,
    ],
    // i = 81: ln(1 + 81/128)
    [
        0x7d848fe9c0a2b185, 0x15b0f2db34148654, 0x4829981609381f6e, 0x769bb433829c25b6,
        0x9ccd0b6bbddb7177, 0x4866a3442840a0bf, 0x6093422f2bc13395, 0x2f01653d8abec40d,
        0x4a02cdaa845ca807, 0x178d45b1ba9a02bd, 0xa0fadb0715b0ea32, 0x819c823742e44d8f,
        0x8a4d8788e1048b9b, 0x09a9c72ed81436c9, 0x3e5f8cd6ca86553b, 0xec9fbff53cf1dde3,
        0xc8094d16e8b71e97, 0x18fc5271549d9120, 0xe39bdb6285a90801, 0xfd0c621e7272c3df,
        0xa5a6c0610efbddc3, 0x61f3bc1f8a3824ad, 0x709d95bf12b0ee32, 0xd8b390ed8e216cce,
        0x04c8b26153d64079, 0xabb8b5d5f1044386, 0x50591e1f5cb13f36, 0x34902c3c1c9b621d,
        0x79f9170ad6a4c9fe, 0x336d9db22cd8674e, 0x579d7b67cb4b0603, 0x184202da81ad290c,
        0x3ba104ae481664b4, 0x96362a3e732607bd, 0xd4caf0b5198dd38c, 0x379abc0250293ceb,
        0x137649247ac7ba5c, 0x9128625f12261581, 0xe31670b2433a6452, 0xf46c3876fb3b9933,
        0xa232fc5564e035b2, 0x8afb34ca50c7b7ad, 0x62bdfa26c5fcff97, 0xaf27a7067e265ed3,
        0x40352cdb06b907da, 0x986ba1074c07c7df, 0x19e2ce8a0da34de3, 0x3bcd39774b83c6d5,
        0xb1f8d1f756306e4f, 0x52c3de8a842a7527, 0x97614752d596529a, 0x56bfb3997b4bd806,
        0x42dddbbd9065fce2, 0xb297759620e72a23, 0x0e72119a1602792a, 0x8cae4a9e5d3efdae,
        0x44fdaeb1338d8f45, 0xb0b292c0a2478924, 0x731d4faffa8a6d0b, 0x7c39542607d368ce,
        0x4a6759ffe656f71a, 0xe2cbcbfdd1fafcd7, 0x64c05f0543eaa7da, 0x9fdff2895c3021fa,
        0x1fc7df570875639f, 0xcf063becc1d0a939, 0xc3b04e36986e49ab, 0x085f0a4e740802fe,
        0xdeeaa633414a2cd0, 0xe63bfead5e9a1e9c, 0x223040bfa1fc8e23, 0xb9705fc09055c0b0,
        0xa01af0376bc2b7b8, 0x0d48ed77cebae272, 0x3a2c78bfba54b0f0, 0x8a044c44c4761425,
        0xbe024b3e4b7c019f, 0x05c47b630f7a500f, 0xafaeb65fb3c657dd, 0x84730fe3c62d7091,
        0xb032f89d468fb2ec, 0x41d8687d070e7727, 0x1d19b4aae243f23a, 0xe209b84bf1d75ccd,
        0x90b45979ab776d70, 0x5bb6da129c8d3cc9, 0x99a537456903e19c, 0x74a60edf254ed403,
        0x1cd29643200d8a7d, 0x42b07a1fd1765961, 0x0668689d16bec4e3, 0xb5889dc876703b37,
        0x44320c2b9f1ce9aa, 0x164452ae590bfe3a, 0xd28d355d04b3d3c1, 0x6e9b8da26ebcb84c,
        0x13b5a2606ceed731, 0x0647156f430ba1fc, 0x7a99741df7a060ab, 0x62946b9d0f3c05c1,
        0xb00eecafe86e3350, 0x00ab9af6679bacdb, 0x4299c9feb4d8e010, 0x138afd1e09290f84,
        0xd7432694024d9113, 0x6db9ff10b75e536e, 0x7ff094759708e0c3, 0xc23f4a457c72eea6,
        0xe92d0420bd98c7c0, 0x8b348c454e663602, 0xca6302cb6585974a, 0xd724faa8f7105479,
    ],
    // i = 82: ln(1 + 82/128)
    [
        0x7ebd623de3cc7b66, 0xbecf93aa1afec6d4, 0xcde2ef184dc7b6e6, 0x34ba102efa53d65d,
        0xeb29d0b0592550d9, 0xbcc34caa1ce07db2, 0x6fb9d4a839ca9988, 0x4827b3e4ed8fd682,
        0xbc22aa56e5668454, 0x675a99ce6c8b3fe3, 0x813783fb0a93e47b, 0x8c82eea6545aa47e,
        0xfce3e78d4b8f99eb, 0xad015411be7cb173, 0x7779f86e593b00cc, 0x6bf655a8515a1d3e,
        0xabe8972b3b86a713, 0x3cc2e91b6526db81, 0x4527f4a9cc0177fa, 0x12ae477742af1fc5,
        0x272bd111856d10db, 0x456022bad46a4da2, 0xd94b3092f2c766f4, 0x495e709268b70996,
        0x5ee23b582b6f1621, 0x381c2d09b68b5b62, 0xb10df2a29332355e, 0x0699673d3a5a0152,
        0x59dbbb2bd69e253f, 0xff67266bfcbd087c, 0x7865445aa48b7d8a, 0x6fb5abf9808216dc,
        0xe5678628b2c560b8, 0xef0fe1d2dc0c5a83, 0x4df4f27e7c02ea5c, 0x769fd35a7b008c51,
        0x6b71cfc2590d6666, 0xaf12e54d2efc919e, 0x99406dcd3441500b, 0xec73896314396706,
        0x30e86fc9948aef04, 0x01a4acf0c7d581de, 0x808d5778e7e79a63, 0x301dca7197f6ce10,
        0x6d93f40af05febea, 0x5160804719c12c91, 0x3bf2e07105cf9775, 0xf4a8f4385de7b51e,
        0xfcd2c337519f79f4, 0xcbe9abca11a5f5ae, 0x6fe7d975c3fccd38, 0x11590dc891f231eb,
        0x7b0e4960507fed2d, 0x5e4c8fbb963fca06, 0xea8ff4237994cd2c, 0x8fa9caa84634c868,
        0xcc3ff18eca6749c7, 0xdd0fdec589618c28, 0xee745251fa9a8ff2, 0xebe8a6c77e7a2399,
        0x6c9471a086282183, 0x6cd1e7e584e216b6, 0xfaeefa9c387bd9a5, 0x2434235b369553ed,
        0x2f319a0335f9ae03, 0x782cd1e8f60e338d, 0x87b247782cc830c7, 0x2015e01eac52310f,
        0xbc169f818f93713a, 0x05b0538c6826f6ad, 0x1c039a6c8f1cda6a, 0x3792e627b466cf2a,
        0x487739b0d321bf7e, 0x674a587c1b9ef337, 0x106a8375a473fe26, 0xa6c64908e99e3867,
        0xdca64c82559a46e3, 0x7d7c0173a69ca198, 0xb21c3b842e953aa0, 0xe5f9a9be3f71b3c1,
        0x7220af805de323ad, 0x35daaed059896118, 0xef9082f700ad0296, 0xd762754413355417,
        0xf69e2d45668fb231, 0xda641d5862341084, 0xf04c40338f1399db, 0x3cf33eabf0437dba,
        0x4db1d0abd8b8f2c1, 0xe3e5e5cd99d2060a, 0xbf25324089e41e71, 0x75c504be15079879,
        0x7fae8bcacc01f46e, 0x49dcfe1b9c9a8a2a, 0xc0f9575acb1228fd, 0x4f4a319092037f9f,
        0x5b7a16c9f043c115, 0x1ff2a81e606fa7a0, 0x52684fc1b163e161, 0xaebf7469d43f550a,
        0x31f8deadeb7ec2dc, 0x258d543cffaf2789, 0x8b6791dc7b3a6a44, 0x1bd2f13514d1c7a4,
        0x7f4622e0a981dcaf, 0x8aec91739f34d204, 0xd857492b5e8ae848, 0x535917c4233b279a,
        0x79acfc04d93133cd, 0x9c40ba52112fcff3, 0xcb677457db402f94, 0xff7cfb7c350c4132,
    ],
    // i = 83: ln(1 + 83/128)
    [
        0x7ff4b8215fd26156, 0x5f40d9321af246e3, 0x379d3ea68e29866b, 0x3b38ae3b1790e838,
        0xeee7b8f973b2b50d, 0xf921e3451fc312eb, 0x8a334b0f383503a1, 0x12704f769d15cc1e,
        0xefd11324a84949a7, 0xb8b29b526132eaa8, 0x0caf571abcc338f0, 0x3416347f2af38d65,
        0xaddd47a9910b1e69, 0x5a66d82669587858, 0x74b2f8e26cc236e3, 0x9ecb3d7f9c6c0fa3,
        0x420d5df8b95356de, 0x2dbd198d19aef65c, 0xb5a8123b813b5658, 0x0c4d339eeb7370f4,
        0x8b02df4a50a5c143, 0x552e50c6d2843d42, 0x2177c473a343c9b0, 0xbe7d039d4a413b05,
        0xe52197f426e44919, 0x959c84c31f5c4dd2, 0xfba483e6e47d89b4, 0xfaddf366493263e9,
        0xb603d90a5cc96536, 0xb1e30e780a468540, 0xb36f2094e8faef94, 0x58b8c1424505f341,
        0xff507de166033661, 0x3f5fd1d3bf0da722, 0x8d9f618e37124ac7, 0x46986ca9c9df2a3a,
        0x1934679265c81936, 0xd93be2b23886e62f, 0xedde60bbe6849968, 0xe2ca81fc89c60449,
        0x78da8938186c859b, 0x6c7263771c2c52f0, 0x73cfb5cf4902901b, 0x3d834a05f466f810,
        0xd59ef7f9f00c55cb, 0x62ee121903adddc8, 0xd9c92f9e7296a360, 0xa3c1e25800fa6102,
        0xced9c7f353f63812, 0x21a3c6ea944f9028, 0x0c65a092acf4852f, 0xd65ffcb3a0a57996,
        0x8143a73f7afdcda0, 0xe0943bd8b3738c70, 0x4cc33aefff5bd3d2, 0xcfc9e8056ba284dc,
        0xf185c75019e62f3a, 0x6490ca18c75480fd, 0xdcd8a0b549d53e34, 0xd05a815e10597c34,
        0xec49a1cd9fc952ef, 0x6e6ce0ec7982a50f, 0x8e0c0e11800d98f4, 0xe911300429da1d85,
        0x4e2a03460c6207a3, 0x86b7a82519461c4c, 0x1b40f11d6eacc8ec, 0xe89262c672d16a06,
        0xac5897eb80f0c2fd, 0x4f4b31507093af9c, 0xa1929f58cd88f8af, 0xc3494d28676341ca,
        0x422a4d61958499bf, 0x0ee4aea9761a042a, 0x8d8136bac794a900, 0x048d9acc899bdea5,
        0xf0e2d133a921151e, 0xaa237b1077c24a1b, 0xeee89f1b38962808, 0x46338c244dd132e3,
        0x3317d76c1d3419fc, 0x0c9d5dc6cbdc6ba0, 0xb123a485fd53fa82, 0x752fc20b72276fd7,
        0x1d791b29dd46924d, 0x7b14c18e34ebc769, 0x9ada8ad7c893a68c, 0x44ab2afeb12aeab9,
        0xe7655d23aead3e33, 0xd6f0f223e8f0db5c, 0x5b5712baee0f8aa6, 0x6f7f9fa068cd7a47,
        0x9367f0be7a183b58, 0x1d4028ad3f1dc8db, 0x44e08c3cd64e3a10, 0xb31e49a2ca9f8987,
        0x209a6d7c62a75246, 0x0d708db70b0e11db, 0xfe160f15a207a9da, 0x3b54df5b3175ad8f,
        0x92c299af19d9d50e, 0x509abf1b779733aa, 0xa4892f28623eaa1a, 0xdb0193073fc396b2,
        0x8571a0db92d198a7, 0x62b1d9b917f7aaa8, 0x7db7d181c203e7a2, 0x6a6dfb260d813f59,
        0xc03298d14a997319, 0x69b44d1d5c1d1094, 0x4aca58845779a116, 0x5eb85db18cf2caf1,
    ],
    // i = 84: ln(1 + 84/128)
    [
        0x812a952d2e87f634, 0xe34aebf73ffe346e, 0x4b8b8c4c34ebb89e, 0xa25591cfd7258b51,
        0x0ba664483605037f, 0xe2af09cf0c759abe, 0x3a732eb6e89d878e, 0x9406276067a46987,
        0x92d8387e3aa6edbd, 0xfc5ba321d12e60aa, 0xdba873150e899c5e, 0x421c64ba527c1c88,
        0x33b034fa228b9a7c, 0x981369985c191bef, 0x54dca374c70e161d, 0xa35b87ed832c5329,
        0x8f38bf099a710c66, 0xd05f7fb96b6541a3, 0xcd64f760690224f0, 0x7ebcca077344fd31,
        0xa521b43380a57de5, 0x9c7f447edafd81e9, 0x8e5a3d59f0602dc5, 0x07b01df4befd8d7f,
        0xa9d31b3154d8246d, 0x0f0c567ba468e40a, 0x93111d1da6d2d83c, 0xe52fd66071d3e5dd,
        0x1361a0dd3aa87bf8, 0x3a054dfc71563b19, 0x97143743f764708e, 0x3c338e70c6177eba,
        0x99e2cf805e417cda, 0xc68f89cb3f1184e1, 0xe2059eff7321ac0c, 0xf5f9d8c7831d2e7b,
        0xab201fb47fd42d1f, 0x7a766c45909a4a20, 0xac8371b25bc37e9e, 0x4adf3a1877eb2f2c,
        0x4e892a1196859997, 0xc5fab07a5384b3b3, 0x3676c920e60334ba, 0x9772993db49883a7,
        0x479b493484966b97, 0xe7ee9e1da47ec4ab, 0xf77366968d106222, 0x53296c2ecedfd939,
        0xbed733a2210f4873, 0x552860e008595186, 0x5c6938da73124140, 0xeb677521ded9d692,
        0x7b91846f589053ee, 0x5caff1b9eab4a5bb, 0x1eaf401a3ae3557e, 0xca0e2e80995e270c,
        0x492e58d9141e7310, 0xed483c7d939e29be, 0x6d46aef600753cdc, 0x6dfd8367b9f90ca9,
        0x1130b6fac075202e, 0xb4305fc469419601, 0xc9274ecdbe43777f, 0x20e96ae508a3267f,
        0x5692b8f703fe8f6e, 0x13e3c69400baccbf, 0x2e34610d0a307098, 0xa3a36d4b2877bf38,
        0x95d5250539f7cf10, 0xf9eae4191f858389, 0x3972d50166f9a838, 0x53856b5c2a845ddc,
        0x8d258e8046d62980, 0x1c29d491b10f2a86, 0x4ce992661b2d05d4, 0x9b60e728d06bbd06,
        0x94e00b5e79bad45f, 0xc185433e192bc6a4, 0xabfe20bb1a904284, 0xa9844402ead67a80,
        0x42c4cabcce2de9b5, 0xdc1d32700e4c5b03, 0x1f7ed45f7db0d161, 0xb2f46adadf218ff2,
        0x10c0bef04a8eb3b2, 0x49a754095ba9fe78, 0x79a70043d2e280bf, 0xa59e438c8e603520,
        0x935cc360206e25e6, 0x19ba2799c7536642, 0x65296afaaf979be2, 0xd2833c385870d9d9,
        0x5f056392175da7e0, 0x4d0c0572e486bf16, 0xf99afacdf6ea2ab2, 0xebc595555a1b573f,
        0x841e7a85887b40ea, 0xfe551c8573320990, 0x68f2fbd20551afea, 0x1fcd856cd8804f9a,
        0x53838619ea3650cd, 0xaa5ce70ff392f6bc, 0xa52620179dce736e, 0xe6158eaa520efcc1,
        0xdc104ced93e61e7d, 0xc76094e40a1d11f1, 0xad947b982ab78bd2, 0xc3f727379e04496a,
        0x5848dd8bef43d7ef, 0x99755cdb002c43b4, 0x4ff3ebd3718ff3c9, 0x199a9b00952e77cc,
    ],
    // i = 85: ln(1 + 85/128)
    [
        0x825efced4936932f, 0xe60804593bed4da1, 0x1c88e1e218e0a7e0, 0x9e3bf732eeafe183,
        0xb21e3f7c16f3e26d, 0xf203975363f372ff, 0xec760e66fd9b2fd0, 0xf04505f94136900c,
        0x2e92f3b12163da16, 0xd75785178272a5ea, 0xffe7746315ef4ba4, 0x7db6639707327f0c,
        0x591ad944c444eb79, 0x341f1b500d1e063a, 0x58b65a50d2086e40, 0xbec843d182cda795,
        0x847e66bfe98e3307, 0xe7bc0b52b78e5d96, 0xa438e4e115f13fb3, 0xb904bf8abe3169c1,
        0xef896e6ae9e7b66a, 0x0318bcc5a38760a6, 0x7c444d24a60a42dc, 0x03fdb65777b034b9,
        0x9cb9cccb9922dcc3, 0xc2d71172fbfb9d30, 0x29a7ed436aa1a90f, 0x12c087d3a7b39393,
        0x2b7be0eab983adb9, 0xd7dbda877231e57f, 0x6b68d3fc8a30b9d3, 0x967a83baf15b5257,
        0xbe35bea4855208ac, 0x5836384c17751cfe, 0x14dc3e3bc3076a2a, 0x8183a52a8c370895,
        0x7e5d04a53aa1b8c0, 0x0c184bbbd48b8b20, 0x2dce46a3947af885, 0xbdd96c53dcfbcefc,
        0x6f1a5f73302c03f3, 0x0d62c28b7e0b5784, 0x0dda71a642c1e97e, 0x8d6f819d5eb03770,
        0xbc1ef5c1183851a1, 0xe61c9291d7ef2846, 0x3091cc776d5951aa, 0xd6c81a392c09903c,
        0x8538a9d6260e518d, 0xe112fbc620bcacde, 0xa8d675bd60a3d23b, 0x4d633e034ffaa6fc,
        0xe70ac834184440f9, 0x8c7cea1ffeb44a6d, 0x47031aa9e0e31bda, 0xdbd26f51436c9677,
        0xfa8ec3d3cf4dc810, 0xff10176fe1b52ad8, 0x02f0315342d2a9d0, 0xb2532708a19298c4,
        0x24e2cf3f45dfe92d, 0xd39127e385faa475, 0x063c274e04dcf309, 0xdef9ec71392236fe,
        0x536ebb427a5bb4d7, 0xf478eff90e2eb6a0, 0x9fc853c9a47a327f, 0x301b4ae909038664,
        0xc4e2fc3fcc785c51, 0xf26b52c3236a17c3, 0xb4919158b4f74379, 0xdd798c3e26f92190,
        0xdeff910daeb296ca, 0x7180ba58206b6331, 0xa89b685ee06c3245, 0x6ec7787fa284a736,
        0x3cab432a316663d9, 0x7bae74579694fb82, 0x7b2ab49cc283ee3c, 0xa95ade81015fbbdf,
        0x570c05400b71f9b5, 0x1e96d145e2e63fe2, 0x0f84d61444d98d95, 0xf57a18765e746df3,
        0xa776709088108555, 0x9c25a31d54ba10b3, 0x7720dfec74231704, 0x8fe372604b38bda3,
        0xdbcc94419074d80b, 0xb9d2fd8d5516d347, 0xf5005fa89b72b13a, 0x0729f8953099edb6,
        0xe93ad2afbcce243b, 0x85e1422cf6c4a29e, 0xabbf7e707a824382, 0xb3fa94f2d07ec079,
        0x096418efc0e1896f, 0xe2f05318bab904f1, 0xb15b3a9ccd7d3b1c, 0x6c2291ed4ff7afb5,
        0x829ada9a5ecee5ef, 0x2ecf5415f5a357aa, 0xbdfdafb320bd4413, 0x7154033df817e59a,
        0x356cb4c44f001b13, 0x37bd99b614383c47, 0x64162deea96f5612, 0x4a7b95342de55508,
        0x69bfb72f5959c82d, 0x126b3a074c46e01f, 0x92896eecd105edba, 0x50e3d60667f4805e,
    ],
    // i = 86: ln(1 + 86/128)
    [
        0x8391f2e0e6fa0272, 0xbcb1c488b755b2b7, 0xa5d75211210f75ce, 0x80a11439aa7c2a28,
        0x297156dc20e6ea98, 0x23989734184fb062, 0x690afdf2e81a013e, 0x76def4c853b65adc,
        0x42e5f920086a38ab, 0x197a3f0f2a1329b6, 0x9d4ec9fa2900e370, 0xe5f41b96d750e3d5,
        0x937b8aa35e1ce592, 0x7c89153535a9616d, 0x761a61394497c42e, 0x0df0ef193fd9d838,
        0xa14b991ced9c4adf, 0x2871e70194b8a6fa, 0xa9fb869b571e9441, 0x0c9be69ae3d7d5fa,
        0x0d9d4f426d4c78b6, 0x1e153b26ea9dd78e, 0x9fc84e68b6dda6c7, 0x84eca56b85e459b1,
        0xc80f41d13aa9c1ff, 0xb38aaec2e048a1f2, 0x2e75b42d54236df2, 0x44705b5a270ed96b,
        0xec67b5decaa8ffbe, 0xee21da8f0ef55ccc, 0x739b5ed1079adb8e, 0xafc2accf468384c2,
        0x28b13f283432deb1, 0x3705b13e0eed684b, 0x0ef34735f6404b98, 0xd1ef1fddeebb82d5,
        0x32e2d82e79736401, 0x0ac95764d2c72c96, 0xdecb37a0d4e215a9, 0x505fa0720d09bc6d,
        0x893a80cfd3602e75, 0xd48f83af3d9fba01, 0x4b519c263498751e, 0x356ea90b4d6b47c4,
        0xfd4b2be6a7bd5a4a, 0xa31543392b31f943, 0x70fb36adf03aacb9, 0x0a7d42976344f23a,
        0xc9131aa125fcc21b, 0xba5c7ad7934db225, 0x76f5de5639e5e641, 0xa763f27b8f1cdc73,
        0xa4903d84d0fe9def, 0xfe9fa790c5f454b5, 0x6cf38994e0f29985, 0xd51d3ca0fd12aaa9,
        0x89c208c8f07c8e20, 0x7873af49cea905a8, 0x26ab5f40f3ce5961, 0x37414a5afab0dedd,
        0xbf55989ffb817f9c, 0x0ebaa3f2792ba054, 0x06640c3f58224419, 0x3daba1692a4ba1ef,
        0xa44ba161fed20cd9, 0xe53865f112889a72, 0x64f04ea3e58189dd, 0xb4346ea70c8c1862,
        0x105d6d5c4edf9186, 0x184212a8a820fc01, 0x8a2d14f7812b63f4, 0x50e40a0ab6bd72e9,
        0x301e7fe6ead11c4f, 0xbb14f1709836262e, 0x69f7c0bd4c2aee45, 0xfe6326897e82208c,
        0x8a119261429db17c, 0xaf3224eb96d0c4f7, 0x31b1601e3eb20675, 0xba15f92fc2302a03,
        0x65c68d5703274f10, 0x1776d66e821eaba9, 0xb6495fc982b61512, 0xb6277c5f5642ab6c,
        0xf98e5712299e8f2d, 0x26ebcca6be606ed0, 0x83a9e426bed45e0e, 0x7296243b782b7a30,
        0xbc8e688d217bef4b, 0x0a62f7522523df35, 0xe2ec4351647c5879, 0x17fbf99050cd756a,
        0x55b9fe985008ccdd, 0xbe9a3a40c93576cc, 0x3d7ccad9b2a7f099, 0x910d75f809e0cd0f,
        0xf2ba8b1dbf15d7d0, 0x429ea8813b633000, 0x9ff9ffbd757691ca, 0x74bb668b933b44d1,
        0x66f726c9fc98e822, 0x0fb29e07450c517f, 0xf7d4ab9c320ae15c, 0xbedc677d81813508,
        0x7b3189fec644b7fe, 0x8021bc85ca96c079, 0x5a3d05eacc983d5d, 0x97be43a1f73fbe51,
        0xeff02b0d6fb745d2, 0x1f1af0e743c74e66, 0x2a9c5a8ba381e90a, 0x24f6751ddb323e66,
    ],
    // i = 87: ln(1 + 87/128)
    [
        0x84c37a7ab9a905c8, 0xfed4a7fa1fe03811, 0x3f135a26389f13c4, 0xbde39b4a96240ed5,
        0x978f0a6b9daa94e0, 0x7080891d5db6f492, 0x3b9be86ac000a5b4, 0xcc00dcd87ada428f,
        0x6e259d7e8e1842de, 0xa88cd3ccadaa2061, 0xa6a57619254a84a7, 0x62ab4312cd29c09b,
        0xcd43c1dda1e8ee88, 0xb03372f9f80973f6, 0xe3090199c5185d8d, 0x4b05d2f074acb40f,
        0xc2653b98dea10eef, 0xef967c7d5f0fb9eb, 0x3954479852231cf2, 0x0754e854ec3b996a,
        0x2062ff6cc13277c0, 0x7fc6edbff1bc6a96, 0x7abd0237bc54198e, 0xa9371899a7d7c8fa,
        0x42a133fd45339755, 0x5eac4da63bfea915, 0x67154eff15a298a2, 0xb4d00d1b8202dd45,
        0x4f670c61ed0a1e64, 0x4421e9fae5002510, 0x24b80da8704190c6, 0x84cfe2231c33e18a,
        0x0dcd33bf82b4de8c, 0x469a0895fe5d7e76, 0xc3a48e0b9f6f6e27, 0x7894e139efb46a3c,
        0xba2253dc72004a9e, 0x8b5a7fcc89176c25, 0x10d0c1e8c794e41d, 0x5e8a5cf6698ba900,
        0x67fd3f27844eb5ea, 0xf95210de85e60e57, 0xca4246f528b4fe77, 0x0afd8f52fedd38d1,
        0x6bee2dfa3952f3a0, 0x3ac4bcd4c35e6333, 0xcca4c095f17daea0, 0xdeb4c9fc6944aca5,
        0x58dfb609f466a7d1, 0x5ed5971771c6ed5e, 0xe4c0372f2bc59167, 0x1bb68221f5f6e191,
        0xa46545c4504c197d, 0xcac0cf71adeb473f, 0x05f5a99e22c4b989, 0xc5928be0a52ad766,
        0xda9b11ba07b82b43, 0x6260c6956516ce90, 0xb92ef70c02125888, 0xd94148fc1d5b24a1,
        0x587fcec1e0a84816, 0xe2ce4b75f7699891, 0x7b0caa9be800539f, 0x096bb42cb3fa6d2a,
        0x1342261bdea74969, 0x55827d869876e683, 0x79c4f1e930c14edd, 0x8555c553dd321350,
        0x3f8dfe290da44914, 0xd454d99fdf7e1e95, 0xc1f3770232fd740c, 0x1578c4920f2cbcb4,
        0x85369e636f940009, 0x3f81ca576a75f188, 0x848b7d983f453ba8, 0x74ba204d3654e9a1,
        0x5924cd389b89b366, 0xbbe89e2577f49d74, 0xa0deebaca7627ba1, 0xcebb5872a78f16cd,
        0x0d779757e89da09a, 0x84ccafcfa5d06438, 0xd3f274e1dde3ad9b, 0x9180a82e0405a42b,
        0x0febbb264a8ae23a, 0x00e14bf61275b892, 0xcd00c5adc2c2108e, 0x050a2bc51a1fd810,
        0x9a5824fc376b4609, 0x048097093e3925dc, 0x20743d1b752f879d, 0x0a23b25a8227da21,
        0x93cc32148e1f9bfb, 0x6594f81097c1ddf2, 0xa83197e2e0f242e0, 0x56a93dfc7a20af3b,
        0xe5a4aaf4849c723b, 0x6e956b4e3dcd2a94, 0x6a0c747ca7b9a43a, 0x908bf7cfba0004f8,
        0x4ac5d947b9fbfd45, 0x666c37648a6ec279, 0xce177d7cf5f366c4, 0xd56a8563e0a66cce,
        0x3f5df7e072b82e18, 0xf4bd371f562cbfcc, 0x1f6ecf803cc56f99, 0xb624dc405216c726,
        0x5cbe650bc76ab3e4, 0xfb3b3a459c7fcd99, 0x65444d08979bd437, 0xa1bc8bc3a94f8d18,
    ],
    // i = 88: ln(1 + 88/128)
    [
        0x85f39721295415b4, 0xc4bdd99effe69b64, 0x366fbbf35d3ed11a, 0x90936f50c52fb7f6,
        0x60e4aff46ea5168f, 0x9b0099abdee7403c, 0x7259863e5716b0d4, 0xd04a9e2eeac77298,
        0x9a16964dd232cedb, 0x6c6ee3712fc37de6, 0x75771e5c64ac81c8, 0xe6c5c7d6435b5000,
        0xa68ea386f83c0cbd, 0xd897a5f6892ad429, 0x47c56b1c4fae3b6b, 0xf496e984768cfdd0,
        0xdc1aa4ea9559b5d9, 0x0390c1590430495c, 0x443114d1699ea802, 0x1295c41542570c07,
        0x64f24461fb2affe3, 0x2479b8acc5e3444b, 0x28542b317ca1db44, 0x2da5a7e8a45ba76a,
        0x95c51b7e3c0941af, 0x1642ce78abd65d9a, 0x6ce3d7d9a88dfeed, 0x772d2298e0c3d622,
        0xb9439b018ee961da, 0x9bc52d9cb0ef60f7, 0x59752e760ae12d17, 0xd1229658801a6a45,
        0x8c7a214f4de4199d, 0x27f2dd9cf791c1f9, 0xe067632caa773bd0, 0xf1bc4653ccda90d9,
        0x2690ec6f19f70842, 0x81402454042f40db, 0xd59232321afdba62, 0xa174f5a847cdab82,
        0xa340be8c29b76588, 0xc60a9bcf69d6f9d9, 0xe41da9d39d5b5fe7, 0xcc901d9b051c8419,
        0xf14d55322c543069, 0x5d5ee717ab25cad2, 0xbe3edd3a88a5c55e, 0xa699c7a0fde93225,
        0xf12c8347976dcc6c, 0x86f641ca00543c02, 0x0dd3730b1da4a905, 0x91bd2d746e394fbb,
        0x6a8281d0be0a04bf, 0xbe3a34f106f9c153, 0x9070ea97650c0831, 0x6050efb9505f98b6,
        0x284bb4b64bdb55ba, 0x4dfa15726bd30ca0, 0x16a024ea445a8375, 0x3bb5e6c76f0bcd4b,
        0xf08759c4a5ffed30, 0xa2313c984e6de482, 0x6cf64d1c1dc4fa20, 0xa167a59ecd0ab2e7,
        0xf3d092adb69f6865, 0xc5b4a079c288d68d, 0x85adeae65b370db6, 0x0ac24a375656bd48,
        0x55b5cb9263a13742, 0x943b5b4b0bba7986, 0xe34aa1252a8d0cc3, 0xfb49352d06942ee7,
        0x7014ec9fb3c48009, 0xc049ad5c1c32b5b7, 0x39e61a4928db1202, 0xaad3744e3253edc9,
        0x706a06c7d6dd7a40, 0x9d0716d2cb15e6db, 0x3ab6700dd56ca8c8, 0xb11f6e72fb609389,
        0x0600d1d16deea722, 0xfe7cbf1ad0e04603, 0xae7f1a3169575135, 0xe43af0492b28b506,
        0xac0c63ae90d355c5, 0x7688e632508460c9, 0x2250afa46e190aba, 0x9da5ba3017a7cae2,
        0x866747852cb5acfd, 0xa5684a6aaac41f6f, 0x2449b14dab43f3ef, 0xb19a285108de61a2,
        0xc4bef46ffa777b30, 0x109d217043f146ee, 0x541024ed89ef9dd9, 0x4cbc6739f1f7f78c,
        0x3d2feb1fa138d50b, 0x49300d8ae411df8f, 0x461eb0e4070117b3, 0xf7ba976705303588,
        0x4f8022eaa16ddbd1, 0xf7cce66e4a1def08, 0xc534bc8dda835f4b, 0xdefc6fde94ce21e6,
        0x4f7fb02e5d93ae06, 0x69fce99ddf7a088b, 0x27a591da27fd85a5, 0x08687efa20d6343e,
        0x348bfdf1de0a4c75, 0x2cbffc48020b74f3, 0xef9c709e84b7dc6f, 0x031ca56bd60bd34c,
    ],
    // i = 89: ln(1 + 89/128)
    [
        0x87224c2e8e645fb7, 0x572ef4b4b1f1a3f7, 0x59ee145b430bd090, 0xb3c6baddf9cabf0a,
        0x50cba9e17ba5461a, 0x9401a2c5809d44d5, 0xcc6ff342f24b352a, 0xb28d415bd95cf419,
        0x3054aa8678cb20d0, 0xb3baa38809e1e1f2, 0x7b955bf14eb19ad6, 0xc9c1c8fe161d7692,
        0x776f8212029d766d, 0x0d2dc6e44aefe0a4, 0x42f0d03caf66c00c, 0x0bed1db1640ab9cf,
        0x89f53e957871c7b9, 0x45ef6323d8d97967, 0x6b46fd140d52f1ca, 0x48a9e8d13b7b84a4,
        0x58b9c9607fd87148, 0x24293d12238dd91e, 0x569400baa091d985, 0xf245a09fe932762e,
        0x55b597a257bbec73, 0x55b9e1ec814f7672, 0xb31d7e707dcb9e60, 0x75c888064e6239ae,
        0xb9b037f25e765b1a, 0x30128fa448d2a60b, 0x38b8dad6e7c742f3, 0x8ba6bee594b72cef,
        0x5e747dd46d06a3aa, 0x5c5ef830df8c60ad, 0xec492da8419034f6, 0x0e2840e1aa8c4e71,
        0x073055129e382ab0, 0x0c81798d1daccd89, 0x2bafdd222046e198, 0x6b35fffb689b47e2,
        0xcc1b9c2a39e05839, 0xd83fc0ad98704a54, 0xf7d9df6ea70bfa52, 0x15921c7cbb109143,
        0xbfec1e27cc55779e, 0x1ed171bb073d0f07, 0x80d82c912aab305c, 0x9796bb5a4719a59f,
        0x40fbef973a9dabae, 0x90c5fa28971e1d77, 0xaef083a1f9232806, 0x95091851774e0512,
        0x5995ab52cee808c8, 0x405498dbeb90d04b, 0x06009dc83e229f2d, 0xcf4f0b7bbf9b60d4,
        0xdd6297d71df0b310, 0xffd5d555a7d37c7a, 0x3c257c8df9a76f83, 0x98efa0e5b4b9cede,
        0xac8b575de63ab684, 0xe2929a60a7d3484c, 0xf30e6a918892041e, 0xe55ea0900eed6eab,
        0x7103402b423eb770, 0x1fa32cbc3d5159dc, 0x2c1843e364123161, 0x2caafceb11d2187e,
        0x74f7b08d7d4b7463, 0x2ad0673cec89038a, 0x38fe42b48e6f17bc, 0xd6da07e4eb3b4acb,
        0x1629115b239c9fbd, 0xda312983744268a7, 0xf4f22f8ef619a1ba, 0x17dd88b993015d0d,
        0x26ad57f169c8455e, 0x8a1c6f759c5f894f, 0x2e04d6e682ad2ff6, 0x6157b7347ed91062,
        0x8ab540ef0553cb55, 0xcd4f9a753cc7a11c, 0x374147907c64b4eb, 0x5c8a568bd898c486,
        0xc31779648ce3a5df, 0xc86d292d5a5c5a2b, 0xeea4de481a80b224, 0x17beccdde4d732a1,
        0xd69fc989b7c8ca67, 0x63c28547bcfe6976, 0x6c1af1a7d9398a9c, 0x2d6691ff158a640f,
        0x03cee2b3c2f32bf7, 0x18fad2a005469790, 0xbfd044788603f769, 0x79f56e8934a4830a,
        0xfc7cc0fc60f8a1b2, 0x115cf5be6972c589, 0x428791850f51038a, 0x2f5ef7b62bf3a9d6,
        0x3a0ee772dc95b0ac, 0x69b11b53966c89e8, 0x6a0342afc428bf5d, 0x90334abd97df8580,
        0xe2be47c984963f0d, 0x270a64487e0960f1, 0x14bde16146b8e8aa, 0x65aeddc096d960c3,
        0xab80d675eb30c00e, 0x719b45bf9e4ab5c6, 0x74a2766f0b5bf48b, 0xd7c58aa3f9bc5fe7,
    ],
    // i = 90: ln(1 + 90/128)
    [
        0x884f9cf16a64b7ef, 0x1f64d85bc8c5f241, 0x63e6f9907e4ae138, 0xa2072c7e945a0a58,
        0x2e64de1d9f62ab2c, 0xf02ede9f3b889e3b, 0xd1d2fd21ed9b187a, 0xe5b1269d0eb07925,
        0x27e0117cccb819f4, 0x4775f10d36941808, 0xbece4e8ca1d4445e, 0xe1ce5901b69e9f9a,
        0x017c16329fa9c5ec, 0x5dc1d0824a6d21b2, 0x0e80bc9a311b279b, 0x57209ecfbd5aa681,
        0x5d95a86da275eca0, 0x78a1a3f6c3d3404c, 0xb07915af9a97a24a, 0x8254d19ea90f38af,
        0x64923e901e8a6b53, 0x0deb6f4966d893c0, 0x6634b129915ca9f3, 0xff956d6baff61ce8,
        0x1e47f7faedcabe8f, 0x2d863f26edd1a9cc, 0xf0a9aea6421c6edd, 0xd154fe7dc6fa8690,
        0xfc48ffe224179b02, 0xf58b5e3c211d3cb3, 0xf69dd82227cb42f0, 0x2e103acd7333be3d,
        0xf70a3034b03405c5, 0x6818006e9c8d73e1, 0xa5614e50ef7241a4, 0x3389c3cecedabba7,
        0xb6ca6e9f1d46f041, 0x7d9717475d941145, 0x69ea1bad1c7c2b0f, 0x65c03629f6e484e1,
        0x6f8ff6c471f2da70, 0x1fdffac5116ea32e, 0x278cfb38b48a4b0f, 0x8e7906903a804cd7,
        0x32185339e46cda0e, 0xb166679a1f3e765d, 0x72310af1d2fd4bac, 0x2c718a3a4b0606f1,
        0xad6d1049a2fab11d, 0x1a76e46c1550c5f5, 0x8919aaf9bfbe9ced, 0x9d1daf500677af70,
        0x6d64a26938f4dc85, 0x58b1d99edacb0db4, 0x1927af1b5c736cb5, 0xc582ab13cb178790,
        0x745e71413daa7571, 0xc8a9583f27850733, 0x5ac5702a5b06dbd1, 0x746be240bdf876d1,
        0x4e0fe05dc3911539, 0x2ce262a6b5a6ea78, 0x98bdd094cf9f64fa, 0x889292a6b8802f9b,
        0x570f80790680b60b, 0x7e7a06f7467b86d2, 0x49de16a0a0d4f0f8, 0x85bae5de1ad47b95,
        0x2d47bc0e7fd8f9ce, 0xcd23e097102b44c8, 0x6da36e3f51edcd20, 0xa2dc536dee525bf2,
        0x6767299d83a51589, 0xf6c2b0a64ebe2b18, 0xd5375868563a5d58, 0x8cbeac84dce82d27,
        0xaae937f8b78aef78, 0x7f5122d664e15303, 0xc3498f6cd0c0cef2, 0xc2ef47afbe5cb1a1,
        0x59407104c3ec8506, 0xc2a1b5861684e20e, 0x693537d9551bfac7, 0x1199d4fc1f0ada7f,
        0x7fc9cd55264aff38, 0x7d08391e8352e183, 0x8f2fdc6fb22e44bf, 0x752af7064b11ed21,
        0xc3fc23ed7c431969, 0x0ed5df6f957ce105, 0x3ae5c03ee4077cf8, 0x84205e9594767edb,
        0xd849349dd09e8122, 0x26d7cd7ac393e83e, 0xe04eae5c4da672af, 0x7588a9ae4642d7a6,
        0x40fe505041c05515, 0xd84b36a3c219cd30, 0x5c069b99f0178ca8, 0x9e83400cc97927bb,
        0xd6f39a0a5da714f1, 0xe42f128ef66693c9, 0x7673be631e1719cf, 0x623b81e9578ac6d9,
        0xba6ef8c35a4e9d9c, 0x0182b06778dfa7b1, 0xf794f61a78b17c91, 0xd6555de5f44ba4ce,
        0x34fa3afff6615c8a, 0x892d17bc37f8575f, 0x4eaf2a051a615a9f, 0xb5109c957113f2d8,
    ],
    // i = 91: ln(1 + 91/128)
    [
        0x897b8cac9f7de298, 0x0918ce3e86a5a24e, 0xc9d5fd4048cde6bb, 0x3451ee1551b63a9a,
        0xd9f2a988779f7757, 0xcf0146bde1370c8f, 0x7967d0532922d148, 0xabcee12246e32681,
        0x0b65976ebe5f2206, 0x60f5e01269f31498, 0x5bddda59c1866bee, 0xc024763fe4b156db,
        0x73a03126005e80d9, 0xd4fd70fa6d0c762b, 0x85d603248136ccde, 0xbe987a8382c73c4e,
        0x366b30d61dbc1ad1, 0x4c600b0f9c5dddf9, 0x83df411c0630aa8d, 0x3a89054ef7ed3e37,
        0xa68ce08ae20536aa, 0x385034bb659df402, 0x14d6d0db3fe8d230, 0xe9a00ee643357f94,
        0xc319bbf45848a929, 0xc3eb9561dc94a649, 0x522299c9923a3f09, 0xf2b490dabda3afe8,
        0xcb4e8d10a31d9d00, 0xfa7cf9377f0da15f, 0x2d346aabe89d44a3, 0xc20f387a19d633b2,
        0xcc3bd2f64cf7cc3f, 0xa4fd4d895acfb6c3, 0x2e48aff9a325ae05, 0xfe5f3739009cb583,
        0xc8113d2105bfffd4, 0xe406f7840dd276e3, 0xd9db3134914f36f6, 0x0d59e1096283ab89,
        0x0b5c4838a903378c, 0x6c126b4ac5099d59, 0xa4901bbd30057018, 0x29ebfe81d2f3546c,
        0x1b7db1003199cff8, 0xf04daa877c065bb1, 0x399548e74044709c, 0x579f4770bcbc2e29,
        0x4c8d01b6e9501c81, 0xe428164f9553a6f4, 0x1eff1bc1fc417981, 0x13a54f61b1f7463d,
        0x39ef2c59031f2d5e, 0xe871ae8840103b46, 0x5fd63739a29e8b4e, 0xcc915803ad45d58e,
        0xbcc86fff5fcd9a28, 0x7f780bce0d1795b4, 0x043f3838cee04413, 0x41964ed1b840f04b,
        0x442187f5d19a348d, 0x7ca56eed9067661e, 0x5ae32620fa06ed5d, 0x10b5c5f68b9eef88,
        0x89b0813f16a43666, 0xd92e51f31ddd5ad1, 0x504044878e7d2325, 0xafa4f4d13e54d9da,
        0x36b1c6bae27214c9, 0xca154baf10363729, 0x056d85ea1879f686, 0x974e85adc1669379,
        0x62bca169c374427d, 0x3e0b6d23d42fd855, 0x315a106f9308f33b, 0x5fc3dc750729a4ac,
        0x6699f5529a851d3b, 0xb26e209c24dd1508, 0x9f12925f7a54f7c8, 0x1dcf579ae36ab49d,
        0xc87ced895762502a, 0xe692ff9c2e0bf4b3, 0x7a4a0c502ee57f70, 0x806f52292bbcba7e,
        0x84fb55b012ecf2d9, 0x6dc7966746ac44ea, 0x61e815cd16c012d3, 0xe455a3d5aeba739b,
        0x5e05ae09e769f224, 0xfd0a8e7117610ede, 0x6dd46b8e8d9ba70f, 0xeee6a7b1efbc7fb5,
        0x3a4f3eefd313c804, 0x515e278aeb536c84, 0xa698959e70511959, 0x74ffed213e0f2957,
        0x9a8fb82d32911120, 0xa5190427ffb8a826, 0x4471cecbb1e09a15, 0x874ef48b0e2e6f92,
        0xcb1573083b833e90, 0x8fe15786569e73eb, 0x707718eee8dc5788, 0xae359e8b913c5af1,
        0xf7e89a9541e2ed4c, 0xec553a942eeb3160, 0xeeae56ebac3d0f7c, 0x5a27fcf4745e8e15,
        0x027c2b306ad6fa8d, 0x03d62c898be0b077, 0xe54f6c821340468d, 0x72c1fca4027e3a6c,
    ],
    // i = 92: ln(1 + 92/128)
    [
        0x8aa61e97a6af4d4c, 0x799d1cb2f14054ed, 0x3a330f341cf1faee, 0x26dfe9520e33c3df,
        0x50a4b66c38859b27, 0xe1958c8d438d5e9d, 0xfee1115533bde7be, 0xf9c14cea66b86f42,
        0x1ac85ade22615dac, 0x6d8ee96f22744691, 0xab93fba982d21bbd, 0x3ef83d3eada29935,
        0x45e6ae09c956ff98, 0xd41b7b8cece17082, 0xa638a64e64c3e174, 0x93522b92eb7e7987,
        0x5116efc45466adfe, 0x4773f79f865d555f, 0xba010bd40535991a, 0x38df1427b7659cc3,
        0xfef459c983f9d06e, 0x1cc6cdce949fbe61, 0xbbabb40f13228d07, 0xe95f231df2cac492,
        0x9881cab5d49f9af8, 0x7cfc3eb0e6d03d60, 0xbb84f76931e2f214, 0x3a1bff9f7cc13ce8,
        0xf95b1bf37c56ee2c, 0x30604040d969e3b6, 0xfd958e1ecbe2db69, 0xbc9cf34aaed8b1ef,
        0x7cd6d5fcd28de6ec, 0x3bc2035e13510b66, 0x223e8aab14ea7562, 0xaf9d5c0976f1bd3a,
        0xc21f9955c565c130, 0x5ba9240e6413096d, 0xcc1ce4100fbe8730, 0x25df4b038d8a37db,
        0xf092b18930c5d7c0, 0x4a1567748039356d, 0xac57165791301a9c, 0x0d1201eb3d980404,
        0x1297a51a5746e77c, 0x1099a5bdadf3dff6, 0xa89cdb4fa76c58ee, 0x790e9d9637d4e24e,
        0xfe4dedefab942694, 0xe03a6d06c6b54dbf, 0x205f34881e10476a, 0x20a446650add0681,
        0x14f87e59f38799a4, 0xec1731d06298efd8, 0xb911c3cb38c48ee6, 0xed580b4491a04e60,
        0xf43d75e74f8611f6, 0x0b53a2b479111a4b, 0xd846f72fd1a6c2ba, 0x89c16e2cf9706e28,
        0x74875fc1145ed7f3, 0x7128bf32d970e946, 0x6ff4eec6a97547a4, 0xe68d093498d2d3f7,
        0x1628cad584def063, 0x43627ff2c9d46ed8, 0x148fdb5f6314981d, 0xde19ad6a1728f8aa,
        0x9842c8b06807d7bc, 0xe416075c553b7571, 0xd9cf4a363dc8404a, 0x0884782e7a55b3a6,
        0x038d5799f7c6962a, 0xd46667bc562b76c0, 0x7513fbd669196d3e, 0x7468301766503b1b,
        0xe1654f47e600f700, 0x0b157e7c4ac9385a, 0xbf73006ef8d020b2, 0x87a4e41414ee38cc,
        0x86d141b7127f1354, 0xfb08fa521b91f7b9, 0xe27e4deb487611ee, 0xb5128aba94fad6f8,
        0x71f650bf7823fcff, 0xb2f0db01b231772b, 0xcbb00902244b57a5, 0x9491a02e20364b68,
        0x6c31a9f54a891627, 0xcd07d5aa42695bc7, 0xc4a4ffef78343c57, 0x5af1e0d31c4856cb,
        0xaf1bb638b60f22aa, 0x2812bf09462107fa, 0x5daa5a2dd8703562, 0xfef7289c3d2f2143,
        0xf5951f0253b79a3d, 0x81efffb2654afb39, 0x53581a71ad573c8c, 0x748257ad1af3de90,
        0x8655b53fb3b00694, 0x1dc776c5a547821f, 0x5a2ce5e25b2b5baf, 0x7122064a84be30de,
        0xd73e2cfbb90d729c, 0xbf65a480f9d9a7bb, 0x52d0beb95e541203, 0x06d0fffec5952172,
        0x46e3b92437bc7188, 0x4fa147c91dce0d4d, 0x83b041a0fdeceb98, 0x20db3fc1936802be,
    ],
    // i = 93: ln(1 + 93/128)
    [
        0x8bcf55dec4cd05fe, 0x30737d03e970d58e, 0x37d86476147c6d48, 0x5be2007634f3fab2,
        0x21f25c1f45224e00, 0x2d5aee948fc6853a, 0x5798053d23a91da6, 0x32eb4370d0ece291,
        0x97fbb584602c1241, 0xe7bb87cb837f01e8, 0x4d71ca67878530a2, 0x29f67332e5beb2eb,
        0x0246ecd03d20bc5d, 0x6bcb8476d1a7f35e, 0x47cfa0e6f559e683, 0x227a377c9551d640,
        0x4041c011cfe01c75, 0x0b5fb4ad6bd1416a, 0x482c8b3ff5406e19, 0xd2347af802e46214,
        0x6fe3a70280bdb8a3, 0xbfad31c8c207cee5, 0xba6a75128eef2e26, 0x70bca3e584ba7d70,
        0x1b47bc4db91fefd1, 0x712a54c8a148c1d2, 0x7d842fbe115fde7e, 0x5fe16613acd5d0ba,
        0xf81a9ed9061a572f, 0x17691e61d0a7dceb, 0x370ca7f6ea075c7e, 0x82454dc7d5a85dc6,
        0xa98a7d50a5874cd6, 0x9fe4c01262e801c6, 0x83b363ecf884c848, 0x2939182a382955b9,
        0xcbbed1078f8e3a7a, 0xb436793931547008, 0x571c0668cabcb5df, 0x1cd081bdf0ff4e6f,
        0x1a58b12d3de701c4, 0xda66f111490023e3, 0xf338d7b72461b764, 0x432edfad76e98abb,
        0xc38e777616c9a58d, 0x4a074a47d7f2dea7, 0xd21bdd0335bea683, 0x612076c91f226b6c,
        0xff8e9847799b81ab, 0x13b282df8748b04d, 0x194c9c030884c6c5, 0x0a8f4f63d6bc5197,
        0xe653a18bcb65f670, 0x37be51c5eaf56d8f, 0x07318992e7a20923, 0x9992aa460c6eab07,
        0x976a5308d05f8779, 0x3aad8a338c85d0c5, 0xa539c119cc3a7816, 0x286c933cc55eda9c,
        0xd230b3f94d9fbdc4, 0x36a5b2cc4fa134cd, 0x764a799b7b7ad6c5, 0xe77545cd17e8b76a,
        0xefd7755f0fd72f53, 0x2b44f3ebeb780eed, 0x694b65fdfabecfed, 0x4febd6c63d39005c,
        0x518a0d4f920d893d, 0x25eed8941a5bd247, 0xbc9afe2af0c151c5, 0x99e5a3a7e55f617e,
        0x40989dce9dd0d8a9, 0x8be23c7402ddc5db, 0x10eb9cc7631af0bc, 0x2cfbe86c118b0bbd,
        0xafcc3568c6685b00, 0xbe29ce10528271bf, 0x3622c19feff2ee82, 0xc3436510d2cb3548,
        0xb4e29593d81bd195, 0x525342d9340ec332, 0x800cd0280ac77be8, 0xcc8b70d2c2ef9749,
        0xd38e19b486c7f81d, 0x30ef8f9f037c4d5c, 0xfdb43b4fe16b15b2, 0x00596826d92db456,
        0x31137fae4c1cea51, 0xe425cae5991b8d4b, 0xd90b2505b509b97b, 0xd6c38740ecf5c3ad,
        0x6a10a53c14956c7c, 0xf742927ab159290b, 0x29e4757541f8fde4, 0x6f017120a4188ffe,
        0x3c44c5404a866897, 0x540f8a5fcbe5e7ae, 0xd1a7c2f8688601f5, 0x71ad6dd64b1bf12a,
        0x351b647ae4728058, 0xfb9c3ebef5d8b115, 0xaeda3dfcfa95e102, 0x037f9d965f6fee72,
        0x7c97f8a2efaa2a2f, 0x3c682e96b08cc666, 0x9fe1495c45c8e54b, 0x85a1e359cedaa460,
        0x057c51bdf31aa8d2, 0xb806494c0406e033, 0x08a91f12c580fa85, 0x576248f9ec20fbbb,
    ],
    // i = 94: ln(1 + 94/128)
    [
        0x8cf735a33e4b7662, 0xe5eebbc0ef3d5710, 0x78ea06c2c371d36f, 0xe98ec9b5a3ef0ea2,
        0x80ce3afe66f272b7, 0xde764d2def6da3e9, 0xe29dd595d7aac1ac, 0xef9a8ef1c2eb376c,
        0x95c4bba20980082a, 0xe025f02302672653, 0x3d81c4122e5c6302, 0x20b106fad93529ec,
        0x6d46a1302e59d3b4, 0x4bde54f686aa859e, 0x2a7651251323ceeb, 0xa5dabf405a6bc342,
        0x5a627e1f846dc1a3, 0xaabafdbdf4504fcb, 0xd8b92b16ea8a2ad3, 0x2c0447e1ab1ed977,
        0x7d499583b263fcfd, 0x12182a7b829fb05f, 0x28d58f57bfd403d7, 0xa6b513481d2e26f6,
        0x245617cbd9a39fe5, 0x48c679e8c087134f, 0x4b06395228f5a6a7, 0x6c8f90cf0fbf229a,
        0xefe8508c7f98d675, 0xef42bdc72c4bf2a2, 0xc323de77705de8a1, 0xec46994533af9aa5,
        0x34b2625306b0ff35, 0x33b9d3299766de03, 0x41443aae634bfaa3, 0x6d197f8afb87ebac,
        0x4d4aebef91902133, 0x647c14aad72140dc, 0xf55d23c7adf29a54, 0x2bf46cf2d4069c60,
        0xc8dcbce4925f39d6, 0x8eb53dd2c15f7c4a, 0x67f3763fce58b0c7, 0xeff3c2b0469d16ed,
        0xa6845d0484cf7ac6, 0x4076b62243c383fc, 0x37861166e0143a68, 0xc38c324abed1b44f,
        0x008bf8a335cd1768, 0x6a415eeab5414d68, 0x98a3d43f914c4a3d, 0xe48528e8cd262378,
        0xff3ef4fca8753440, 0x798f124458e32ac9, 0x0a5acd41f59a6326, 0x7ec8af5b14e74636,
        0xa2e566d7f4a92190, 0x76ad12ddbf4a0fbd, 0x758cda60758b1bf4, 0x8230c06ebb676fc8,
        0xae5ecb62958897f7, 0x5ec0979507058d7d, 0x2244902e64c5db3c, 0xf5a3b3be0b65be76,
        0xf156266237cc0299, 0x1bb4f50e1a0528a4, 0xcfd0ce185a7a855b, 0x7b5bf3c49959df00,
        0xae1a306f197f5e85, 0x561dbd3819c95341, 0x281911bbf45d8c52, 0x3caba7fa3ac13433,
        0x1ab3a4d3c8b8554c, 0x55b5fb7cf5d8bbc5, 0x5f406d9711087ce7, 0x014a8a0a09d46633,
        0x4c6d7f6d0b7e9e92, 0x8a2d3c11d3f42f95, 0x7447935c0cfd97b2, 0x608fa65a1c3dc07c,
        0x3670edcb7707dd71, 0xb429012e3103fef8, 0x522827e55ca4c313, 0xe291d15eeee1771a,
        0xcd911764e3eba7d7, 0x1117c69d0f003b38, 0xd079bc7fb2455d1f, 0x189b062c3ca1497e,
        0xbee2e112f269d75e, 0x6327bf63f6ca471a, 0x0e3f41ece946707f, 0x6dc137874ce67c51,
        0x0f6da4677b181aec, 0x5b554b212dac095e, 0x55a0afeb79277262, 0xa2628e84d4e957ea,
        0xbafcb490c91458c6, 0x3d8cf659e409dd9a, 0x999d7419721909a0, 0xe247b6076b5b9f1d,
        0xbd0a310145755896, 0xf2fcb2f09111e70d, 0x852e86968319cc49, 0x1f165eb08d5c44bc,
        0x031077116c565d37, 0xb9260405aaa5168e, 0x68847da476253d04, 0x100634e9f1d87096,
        0xcec5e5e3e557ba23, 0x2bbf8dbcc7efab2c, 0x5508f074457ea7a4, 0xf370a7004e86b67a,
    ],
    // i = 95: ln(1 + 95/128)
    [
        0x8e1dc0fb89e125e4, 0xa7c766fde2efc77f, 0x4c2379b2ef8dce37, 0x815595258a493f54,
        0x411af4cc02e8f0cc, 0x4eccce8c7dbcefc9, 0xb660ecca6dfa8df5, 0x13c9d868a482791d,
        0xbe79110c4e4ce7ee, 0x4134c7e63999b3c3, 0x2ae1e21cb180f997, 0xe75b93117b8563ca,
        0x6b140ce39552821c, 0xc717fc8c9f4d6ec3, 0xe78484fa19b82474, 0xeefa43460430dea3,
        0x793a2282384d21f2, 0x5f6d8161fd2597cb, 0x7ce863a552683399, 0x681500463ee6b2bc,
        0xed715333d8a54903, 0x55f2167621e20c4d, 0xfe4ed10f10d1ee69, 0xc758bde601196834,
        0x51e0c32e65ea04f6, 0x31d0201500dabf11, 0x96b6039725ad5eac, 0x13df5a895c159c1c,
        0xd454c95f105641fd, 0xf38354a4ffe57dcb, 0x3773211a01f9e593, 0xe07863be43142e78,
        0x792591437f179145, 0x30812f31ad69588b, 0xdaf26bb54deb1102, 0xb3755f5d8d52d132,
        0xd8eca8bac60afc1f, 0x33ef7293e323818d, 0x87e0e5c7e7cb58b8, 0x365f4d74b4e845fb,
        0xe0fff647931e10e6, 0xb6652c091504ce81, 0x1e81d6fcef37cb3a, 0x8e04b43f6f31e108,
        0xdf740007ac268e12, 0x73b9c6c799cfcadd, 0x318616a5812e77d2, 0xe16f369921cf2aec,
        0x3af14993bdc5b10e, 0xc1bed097d3182b91, 0x573cda4612004310, 0x06810472bd4c018e,
        0xc9bbb56a19289e93, 0x08d0368585e77eae, 0xe5cfdc1bec98ff42, 0xab0fdab635f342df,
        0x18be884442eb2f8a, 0x8f33192850c6295e, 0xd18d10eeac6e704f, 0x689a45feee53816e,
        0xe171d0755edc5ec5, 0x48db3d1b812c6cb6, 0x9c5f24aee9b24bc3, 0xf61af9300ad62a6a,
        0x6d9c84cbd0755114, 0xf6c6da8f1efdc07d, 0x96bd8e1e00c21d57, 0x5bad498fdbb5dbf3,
        0x0b1a74a2fb7d0a17, 0x28024d9230d957c1, 0x1b479c4ff1979792, 0xf9ef70f5caddad80,
        0xfd347011ff1a8e6f, 0x54eb146e87b062e2, 0xf392376e0d39d2e4, 0xcc9517d154a6f5d1,
        0x89978abea351c657, 0xe32506eb55d5768b, 0xe1150e3a0978a5a4, 0x7689fed94753dff6,
        0x204927485195a3e8, 0x2376dd10bcdcfb4a, 0x0319e77887f78de2, 0x4156ebe675351163,
        0x3655a4d80f37e994, 0x36efeb26be2a3b38, 0x3e39d8ff4f8f1032, 0x5bced027ef00a7b9,
        0x4c81fc1b11485a8c, 0xc75143c5983b15f8, 0xcd5f178bd6167c36, 0x3a13667ca0f473f1,
        0x048d37ffa7bd0601, 0x833d605fb1e59ff1, 0x8cc00654a6c362b9, 0x4a6a1c798f5b19ae,
        0x21d435a35b071c35, 0xca1098a8c750b75b, 0x2c13bac1ea49aaeb, 0x0a2bf220aa492ae5,
        0x0575f9ad66137f41, 0xdbc135bfb5466377, 0xae77648cbac6b3f4, 0xfbbf975016165a8a,
        0xd9618e867fcc36be, 0x15cfa737dd5156f5, 0x6f2c7656b85f73e0, 0xbd36a3c38ab0f376,
        0x1e5d139e001995be, 0x6143b89beba39e03, 0xdcb08c0453e54ee1, 0x36ff00a36e6d66a8,
    ],
    // i = 96: ln(1 + 96/128)
    [
        0x8f42faf3820681ef, 0x62cd2f9f1e35f2e7, 0xca4f4817696ad39f, 0x9a4b1c065ba0cde2,
        0x6e709121ab58d60f, 0xe678c55edeac4090, 0xfdbe964cdd0bf7cf, 0x4f6620b128e74d7e,
        0x8d9025594835fb0e, 0xcc0bd283a4061d22, 0x462624e89d52a8d2, 0xd8a8b79aa76cf5a4,
        0x40b57fd457185e7e, 0x5ab5fb404ce75c87, 0x11c9639fe9175215, 0xca9b48bf15a83272,
        0x4bedb09eee78f524, 0x816c3628cac340a6, 0xb104ad0791b75fb3, 0x6b063b4a6beb61e5,
        0x7556b11b33b18531, 0x055716c28e25952d, 0x3e1d9be9e466b11d, 0x3dbb2fb58c76f3a4,
        0xbe23cf4eb3a34ba3, 0xd675ede8acd2d78b, 0x05887b99191c34cc, 0xbc1581931c339cfd,
        0x0c77d4bda38f8f0b, 0x115b4502fa561541, 0xc09c4133f9611712, 0xff664d7fa0567c33,
        0x6828ff09503b03e2, 0x558e9f8eaff7ee79, 0xc210e9bc980ec574, 0x0bff16dc336e9bce,
        0x2d4f42aff2e3b2db, 0x7fb439f08dace375, 0x6714331d637dc1e0, 0x1cd304ee48814a92,
        0x2b336a99387b7772, 0x9b83076c891e47bd, 0x9274e1d11750d39b, 0x9b0facbe670692ec,
        0x333448efc2dd8740, 0x6e9e14cb30b590c8, 0x32d2d3c3f597b3e3, 0x432794629a3199dd,
        0x36850d27d3fb2376, 0x0d234fea0886b408, 0x1b9d44cc99147277, 0x6110a868daa7c988,
        0x529dea06d67b0465, 0xd2832389f34c8477, 0x22a997fb8fa13c63, 0xf85edfa2f6b3982d,
        0x3e9909f233a6f6ef, 0x7dca31506085ac88, 0x0bb846d3dd309d04, 0x08ebc35121f8521f,
        0xdc9ffee5541116bb, 0xcc9a62127a2bb12a, 0x129961f849552bc9, 0x0a7d56ffe8a475d5,
        0xdb3f2a976c20ad50, 0x0e5b511bd3620695, 0x9a41ce9e2a2b7656, 0x79a9340560f6597f,
        0x2bad9542123280ab, 0x4e6c0852269f5ed2, 0x1f4082190dab874e, 0x236c807de3c15528,
        0x39c8c15f09a2c66b, 0x8d95d08c5f5d112f, 0x255ffdfee80de6c6, 0xecabe55bfc3d9507,
        0xac8aad8f5ee1411e, 0x3483f54e7a4da74f, 0x755cbb6bd59e4089, 0xce23f0d924c485d8,
        0xb5385808f3c0daf9, 0x84f5e8e5d3660fb7, 0x95a4911c5f475796, 0xad92d8265ee0ccc6,
        0x28acbbc9208fed5c, 0x3dc3d3d3b5eb22e4, 0xe58c6b90b2aff130, 0x31007680b5ee4731,
        0x94d640c9d273739a, 0xadc159aaab09fcf3, 0xb05e64fa528e5c6e, 0x624b0b5f41f741ed,
        0x6fcdcad502a890db, 0x683834f7b9669fd4, 0x613ba3025fc30b5d, 0x1c0d4fb47e5dbe82,
        0x1841f2cb85edf161, 0x62446a946ba05735, 0x52e6c3bd7e1900c5, 0x443206f9e2196967,
        0x77e7973317792307, 0x58d1e9c4310b1ebd, 0x2e7c8aaa8f15eaa3, 0x9871fb629c93ec4a,
        0xe53e818c859d5c4f, 0xae4b6adcfa50e019, 0xe5e5abbacdf09632, 0x179e0bd1e9b885f5,
        0xa202c79d605f8c80, 0x7e39fddbebe7dea8, 0x7101dff3f416c4ba, 0xcfe07c7e34c137e9,
    ],
    // i = 97: ln(1 + 97/128)
    [
        0x9066e68c955b6c9a, 0x81e87badfd849e89, 0x481a91283b527cba, 0xbeeaffacc9110b22,
        0xe12af53dc984a22c, 0x022a6191c7629553, 0xd1252aec7ab564b6, 0x18da61909abaca2d,
        0x9bbbd4115cabfb50, 0x516968a6c2867e01, 0x300d59e88bb8d78c, 0x8d240f03d0335500,
        0xeb2b57238653bfa5, 0x9a7658601b5adc21, 0x30c0cb240f684110, 0x1ce3b19786a3ab5e,
        0xc7ea972a95775f6d, 0xd7ba96ddc4ac8758, 0x169d2cb270b32aa2, 0xcc7e3c37c1882f55,
        0x7af047627f00a83a, 0x4955ff2341033e1f, 0x032777b7b054bcfa, 0x63609fc58a563540,
        0x66e3734624fc3832, 0x2de8fdcc71859631, 0x5e58a414512a7bc5, 0xa14fd5a85381d5d7,
        0x30251e5617fea807, 0x8a48ffad712e5326, 0x772179aa7182800a, 0x3fef720c10bbf6de,
        0x47933bf2787a3eea, 0xa89b261d730b4c01, 0x6d38c84a577ee205, 0x6c165fcfbfd369a1,
        0xc0e53f793f7043a5, 0x002fea8a6529ab4b, 0xf1c7c6d79d5623ac, 0xc5cb65092ca8f26a,
        0x6d1a07a5233b92f2, 0x2ad56dc109d54807, 0x1e526f3d6ac1ae98, 0x35d7526155b9c03a,
        0xab9f815729ed500c, 0xcb45ffcd0f230a8b, 0x74537c738b64ca27, 0x6363a4448fa5508f,
        0xe3cf07c1ba032a02, 0xa8526ddcd727a3c9, 0x97c436352d07eeda, 0x37f2f117feb33530,
        0xe5f90313d0584616, 0x2d00e48c69fa6102, 0xf18e21bda631d04e, 0x75cdfd083fc49930,
        0x25fee0f4eae86cd5, 0x55b82c764d755c84, 0x31bf37932234fb9e, 0x256943d865a2e8a1,
        0xeeb458680066492c, 0xcfd731cb23575438, 0xc126313b86df9306, 0x4acc4d6664bc6a07,
        0x2dc04987cdfbbe74, 0x9454b4b7cf667dea, 0xa0c66831fe91f9c1, 0xb0fefc47bdb2743d,
        0x5f7a591ee3b8effa, 0x74b3b0d829d3f5c2, 0x4c3163bd21062a70, 0xb1c705221a0130a3,
        0x53ac4c2e8220de55, 0xa1d718306527f116, 0xd12180cccd640ecb, 0xc97fcb31ad4890c0,
        0x6ce0337382623fa7, 0x501ee16baf67eddc, 0x54c99347a46f444c, 0x83865e099a4c1354,
        0x8f1d0f20e27488fa, 0x9597c1490713029f, 0xa4ef6945742111d9, 0x62a1755d6ace0b7b,
        0xe2fed7ecd1f03235, 0x4e3160a0c7352ffb, 0x364d5f126ca274e8, 0xa0bb16abc2d47b9b,
        0xe19c3a5107322d41, 0x19d35c221fa2c43e, 0xd5077a710c1e8bd2, 0xab5925a25f89fbf2,
        0xf12430f0cdca1919, 0x671a243e1ccd5600, 0xd2315172d8e44baa, 0x128e7d109f94b6f3,
        0x5d3d29d779b0d668, 0x96017656a3427fca, 0x1add378e56059d2b, 0xc7f3780a2f640c6d,
        0x03fbcf4d31ff962a, 0xc4cbfd6b435e982e, 0x7aff7214d74ae9ec, 0x7aa7a16648cecf9a,
        0x965e574d6213032b, 0x214a764da1c57d8c, 0x52a3c08aabfd7cf7, 0x7165068dfd294414,
        0x78b38edec2a38594, 0x351e0f987c2504a0, 0xcf0093f2420ac062, 0x0ea65e5472858d8e,
    ],
    // i = 98: ln(1 + 98/128)
    [
        0x918986bdf5fa1416, 0xf1b439165240a471, 0xbcdfcc1f5b0c6c60, 0x5a9f09308150f4a5,
        0xf29881dc53349bf8, 0x37e3a91620b70553, 0x228fec0cd9225675, 0x4656306744f5ae8c,
        0x9e818f2a9f5bc7a9, 0x2c99ed30a7249e62, 0x739fb1ac29ddb43e, 0xc1c006177c9ce75e,
        0x5ac93f7b56e8040f, 0xb87eeede65a9125d, 0xe776e31de893d96f, 0xf81bb6a3ec4b5c41,
        0x43c0e931ee44702f, 0x26f212be2c39cb14, 0xcb740bc2276a5dbb, 0x253ee9a7242782ec,
        0x0fc26ec9678a156d, 0x6b5a4fce5a4c557c, 0xc87362cace3402a3, 0x29a705caea14fb35,
        0x17330e20822b64ab, 0x0f8763235042b2c9, 0xe44102fbdf2cc778, 0xa09040d006eed0af,
        0xa469b09965d081ca, 0x779f50c27b09b9e2, 0x2b680b4d4702f966, 0x0829c09305cf58b6,
        0x7ad7fa601dfc791e, 0x1a37a9556987a906, 0xb8442f2e9d8f4649, 0x84140b420bcd49cb,
        0xc8d1bd7055c24133, 0xd6faae9cf26680a4, 0xeb6117eeaf5a0f87, 0x038f0efdebf45eb5,
        0xf22dc4bb9c169ca5, 0xb4979332018ca374, 0xb94953d970a500a6, 0x56fd4eac207054a3,
        0x442d09689eb3ee9b, 0x73308b0caf6b35ef, 0x582f38f95098c741, 0xcc9911bee79125d6,
        0xdf55050b6251d8a0, 0xb7de11f51942ea50, 0xf30b2017b2ab7c04, 0x29a0fda4c75a1d1f,
        0x1814da5daddbd968, 0x7c5d0f856234850a, 0x96e51950a18c6c6e, 0xb885066f615d7e9a,
        0x356e51d7a76307eb, 0x32db4b9ccc9ee406, 0x7e7ed0c993b61442, 0xa7b587ec7d7e4fe6,
        0xda10c34346ca5dca, 0x45eacd742ecba194, 0x9fd7c41876f0fd4c, 0xc6f134797a2ef692,
        0xa8cf11694f18d8e8, 0x7a86d22ad26fc6b5, 0xba58aa79eb08abe9, 0x9e7a60534c08553e,
        0x7e1e9c57a645f6b9, 0x97cf24ffa673106b, 0x3ea1a651c0ca4ef9, 0xafe4e115e272e33a,
        0x0db865d31ce155fa, 0x9d0084db086abc6f, 0xaf9316da1646e972, 0x31580c3fd763cc10,
        0x7fe6ed3c4da9a950, 0x9b4accf71d95a01c, 0xa1050b95253caaf6, 0xc42e02f6305a2834,
        0x7c33771a96ffd24e, 0xec90bfb4f4e596e9, 0x01b484b4925255c5, 0x6da922176fd23c13,
        0xe011a7f99459e343, 0xf4e586ad9fad274c, 0x0bce4a94f449a74d, 0x92f6001752f7278e,
        0xf404ef63c9c51941, 0xc48d32f18b7b7c19, 0x4fc5d9ce20f921f9, 0xb3436efd79002200,
        0x79871ed8437b43b5, 0xcb1054528778b284, 0xcc6965da01061ea8, 0xb3218e4c233fb8c2,
        0xe1ef98d97aaf958e, 0x90a4ea9b216e45f9, 0x4e56047f9bcf0b8d, 0x970fbb9031b7bbf4,
        0xb22f94ce6c26b586, 0x29f6a20344971452, 0xe5b145df30b01e4f, 0x286456736d8bfc0c,
        0xa54336733d7cd9d4, 0xcca2b30298a8fe6a, 0xb546166e8d9bcccc, 0xf7d794be6101a773,
        0xef22069e9e69f363, 0xfae6fff73e9ee21f, 0x92be0fced7faacd5, 0x0d549943a7ec582f,
    ],
    // i = 99: ln(1 + 99/128)
    [
        0x92aade74c7be59e0, 0x21d6d6881e710847, 0x50a06eb301ae8308, 0xfeca10f43894e474,
        0x72804429ac221819, 0x3a28cb9e1c66423a, 0xd3e059e88607f720, 0x9003f45b0075384d,
        0xc4ef024a2b4bbbff, 0xa3e432d5de89b886, 0x7f55c3a8515057b6, 0xce4ac16b66c8e66f,
        0xb6fe50d1bb26e376, 0x37b0ca89e5f5809f, 0x67d4fd1402ff7b1d, 0x86b7b7300458f24a,
        0x7b567a38f1e5a2df, 0xedd7f98095f18e02, 0x2669a358aa440e98, 0x5d7705b54341de36,
        0x5f7c4a04073a0ad2, 0xbdee4f9fbb02b881, 0x933206f0b75487c5, 0x0f539df83b12c012,
        0x2903b42b1783f245, 0xe58eda33524e7e6b, 0x346352e7e744de31, 0x439c3dd57ae42596,
        0xd67a62a81fe1d3c6, 0x8b886d3fdebdcd83, 0x8aeed02ba04e87af, 0xe744984c953952bb,
        0xd15342953f2fc84d, 0xab4a3b6f8cd497bb, 0x60724c61365c406b, 0x0a76b9018b483c2e,
        0xa45e6f606acb5b44, 0x364779be03e60508, 0x9a2b49ffa6c325a9, 0x96488e74d3e4114d,
        0x991683cf2c273b74, 0x32e32fd7de87c2ff, 0x88f77eed0e4de418, 0xef1e4da9cc562402,
        0x6811234c21cc2f70, 0x491881e5088e1f44, 0x53e48699482a77f2, 0xea79720a56b6d980,
        0xeb84223dfc7e391d, 0x79bfd8a334551349, 0xc430a1f625d668a0, 0xe364ca019eef619b,
        0x1daeac24097b2230, 0x92b931a6621cef33, 0x9ca00433e10bb1c4, 0x2943169be0e8e86e,
        0x142f4ae703503e2d, 0xc2fb5f0235f2c2a3, 0xd802e3d5081cc457, 0x3cf3e8105d63a732,
        0x60fa5cca528ba5fe, 0x4ec1ebe7383c1932, 0x3849f3e763a487bf, 0x2912e2183c77bc75,
        0x195fb1f8339a3f57, 0x074a3706a36b9a5b, 0xb19c4be39a605bd0, 0x7c4d2459191ca0e3,
        0x46ca9376df1a8c7f, 0x8882870d303ab8f1, 0x2c2974833c79e4b1, 0x4058129bc29d8897,
        0x198509cae22393eb, 0xb4d13b4bb041ef41, 0x13f2b003bf228c5a, 0xf11a6e32f8b29c9d,
        0x7bb27f87d7664417, 0x569edb5c76879444, 0xd2062d35f3641e0e, 0x6d3d824f2189784a,
        0xea431caf69177d54, 0xd58068bd48b831b0, 0xbaeeed8603757f0a, 0xb6f48e5aa8c6c46c,
        0xc8682acfa3df6cbd, 0x7038ad8fce738ee1, 0x4116fe7f24705274, 0x4b49a56e528fbd21,
        0xe66166791a1df692, 0x4f876368968730bb, 0x6902167d9575676c, 0x55d98900f2339da1,
        0x3f9e1dd75c82c178, 0xc7a7865b936b4066, 0xd2f4f29e030fce1e, 0xef5ff16aaa371670,
        0x90cc76e9aba297df, 0xe2f1e483d3d65626, 0xc327767239104cc0, 0x3a9ad35734cc8cb8,
        0x7bfb1aabe5ed5f5d, 0x22169a5f55ac7290, 0xd56d5fd01f375bbe, 0xaa8dd046a93bcb6d,
        0xe8d44d0f1cc5ddfb, 0xf076ba25e6792697, 0x8ca682e2f08d8344, 0xff0f1665dde9514f,
        0x4a9f2490b62a2c83, 0x04d6822d72efcd79, 0xf24d05dbe6adec3e, 0x3adbbc20f7711509,
    ],
    // i = 100: ln(1 + 100/128)
    [
        0x93caf0944d88d75b, 0xc1f9edcb438ffc03, 0x527d7309433bbdf4, 0x7437d6659ec6647e,
        0xb09a0aaea10dfdb1, 0x92b0f0fd6de19a53, 0xc0dc1d6b15fa0ed3, 0x5558e6affa1895f4,
        0x9c63c1e02176bc65, 0x6018fd9e9227176b, 0xea62da33b1566a59, 0x1bee1cf0b8875a80,
        0x7363c8e9a98a103a, 0x7db94b3094f84d7b, 0x63371cde05070620, 0xd4d639109c6524ee,
        0xdee20df0dcba1e17, 0xedec3ebcf889283e, 0xac14b49eb6dc8143, 0xe9037e01a5d19891,
        0x6fcd8e03b84729e5, 0x4e79e17bf056ebf5, 0x1cebc4bea182684e, 0x4711ccb8496cc78a,
        0x326beee82c671335, 0xfaff35d07201187f, 0x47a753c101e2c856, 0x51401c9ad53596b6,
        0x635f32ff3f3deda4, 0x9f4a7bb5c235e383, 0x196063ccc5c0442c, 0x2b4523220364d351,
        0x891ee3848b785fdc, 0x698e0ab9a6cbdc4f, 0x93e12592782e1b46, 0x8973034a5178f8ce,
        0xd41962358ea88946, 0x06507d7e71ed0936, 0xd69518ca000e72a3, 0xc4b7ce07cea2374e,
        0x19054d40fb467953, 0x059995929bac9025, 0xe6a0dd64cef7cccc, 0x42ded9c96557dfe5,
        0x9edd5dfcabdd0bc1, 0x70558f9ac42b56aa, 0xdc796300e163db89, 0x74a0e04fdf9e19d4,
        0xd12c35b9e6fb1b3e, 0x5c1583808b7d898b, 0xba7bb456b9a59f49, 0xbdc5f8ecb7d79e52,
        0xeb6e011df331c08c, 0x67b7bc20855555bd, 0x7f081364997c29c9, 0x7dd9515cbbe21841,
        0xe9183222382f974c, 0x9bd16f0d4dcfebbb, 0xe9d984952daeb300, 0x34e4465b178411ce,
        0x349fdfeba0475d8c, 0xa142b8c3112b023c, 0xcd9c08d6322e455f, 0xea686a5fda28d9f2,
        0xe36cee9d87b930fd, 0xb626efe4a4b68b54, 0x6276622f314ef0de, 0x34d7ad12cf35a701,
        0x15b92c623f9a547f, 0xbf955ceef1ab0711, 0x97cf41f303c9252e, 0x4e8c870a5f5bc3ab,
        0xe18b6c7a2c9e06d0, 0x010515fc21757ac0, 0xab2f783f62393b1e, 0x250183b21e0dc66a,
        0x19619076f1244481, 0x01d5d22d47ca0b48, 0x0845c920066e8160, 0x687ed0f430de1d30,
        0xfb966e8fac62dfde, 0x2b8269896c6c30ab, 0x859ede2a6c894725, 0x65c905d1135609ff,
        0x33cb6f2abf43ddd0, 0x5a57162d054807f8, 0xf982b8b2d4f75634, 0x74dcbd318d97cdad,
        0xd96196bcd671226f, 0x59577474bfe7b8c1, 0x080415d87353525b, 0xf275e938e6a189d2,
        0x7659c5eded7e7c86, 0x73a6eebf4c8461ea, 0xe756784999d8cc68, 0x4ef6003abd7c8cde,
        0x38258937289243a8, 0x5caa4e898c33d622, 0x429d05366d03e0ae, 0x4b781e8a318647fb,
        0x73a3bf4292b82311, 0xdaf4b723370eba1e, 0x06814eff44d3eeac, 0x99afa26754fbd2e6,
        0xfc5baf91876ea141, 0xf2fdaa46ba663754, 0x8d51f8d65417f9a1, 0xf11844e27a846fa4,
        0x4352a573cfae347f, 0x52aa979e87753c0a, 0xbb4dc0b8c27a013a, 0x95539a3dd5e2d5ff,
    ],
    // i = 101: ln(1 + 101/128)
    [
        0x94e9bff615845642, 0xe6b65d2e67db5d0c, 0xfc1f55966a10aa67, 0x33a48e4f1d0d3dfd,
        0x53a0d1b8e0814130, 0x0c7b750cb25cde63, 0x36d6e47d44803285, 0xfa880bc2c23e9c20,
        0xcf5483c37a05345c, 0xaaaa55150dca18fc, 0x911ee9dec56b06a2, 0xb8fe00e59a2276a6,
        0x3866520d65a43aa1, 0x7b2603650b6789fe, 0xa36eeef8e0204e63, 0x563f1bab0d549cd8,
        0x7409547ecf2440fc, 0x65801d65ca4984ca, 0x47b21967aa88105a, 0x59d1d596248fe30a,
        0x4a95d85544c1554d, 0x29d6edc6dae44364, 0x6b4a51e8be7c0e5f, 0x06a1b217bde28308,
        0xf919ea2526986ef7, 0x87a420adc1263027, 0xfdc3dc52ec3c955b, 0xa0dd206dc9bdd594,
        0x7f28c87dcedc811a, 0x628762b6f09ccbb9, 0xe23dfee4cd60f59c, 0x15b4796e4eb85274,
        0x27fb918dd3207de2, 0x6fc82167a5db1ee6, 0xb5a87e525c9f508b, 0xaae20e5817ec99d0,
        0xfa278fbf392811a5, 0x5e226fb1d85c9176, 0x567375a5e0352222, 0x0979f6465741722a,
        0x56fcd8221e68df14, 0x0a5bad3b0b112cee, 0x3a35fd21c11ede93, 0x3f6c8e1d9264ce89,
        0x5a9e5728d24e7a0c, 0x31c555c3ca3d7d52, 0x081097b96fdb47f2, 0x8769b4b3da221768,
        0x449b2fb05cffbdec, 0x0a0d9fa5248569c8, 0x754fb5a8e7efe08b, 0x723fb96f34927650,
        0x54c41f3ed27a8dcd, 0xa5e3fb753a1dd6dc, 0xea9b36c43fbccd01, 0xe6f4eee2e46187c8,
        0x7c8a1882ac39f374, 0x704cb76ae66a2cd4, 0xe3dfc9afc5c04b3c, 0x3c375c969c6f7063,
        0xbe9567077ba2bb92, 0xca71dcf3cce8c61d, 0xa1308be18532aa45, 0x6b1fa515adb2d664,
        0x5fe702546c20c4a6, 0x5522f28ef94d02ab, 0x60e7820cdc1e24ee, 0x512b07c0642ad04c,
        0x15b4bc0650fcea22, 0x39d19b54761399f8, 0x3e5beb24479a7209, 0x89e0f1b2538d3d8f,
        0x65a47c2b89c0e560, 0x54defc2cec702893, 0xaa91d4c2faa7042c, 0x445c02fb8a088954,
        0x5f00aa2fde3147a5, 0xc2c3d0df80b0c611, 0xbdfef1317c9ac3a6, 0x027be5a303ec90d6,
        0x4a933593afb2ac7f, 0x885fedc3116d0f7b, 0x7d0c8c9eed3d2693, 0x850ebc0038248830,
        0xdbe59998d6b65fde, 0xb8bdc40dfbcca273, 0xf7abea61b27a5fc4, 0xfb6af678c0067ad9,
        0x113570fa96380266, 0xad2125dc3a9ae331, 0x40d7f27d5d2fa6a7, 0x1cb005aef1d0046e,
        0xbc324c01a2f3875a, 0xd37bd6c24f20f263, 0x915c30e7e9d5f35d, 0x3f3b46c07d619e6e,
        0x6e89f3442ad0b820, 0x4b6a24aa765425c6, 0xe1dd23f6b5d29bef, 0xac02cb629679e2c9,
        0x8ef158845f20ac8c, 0xf964cd6b00a0ece1, 0x9950097a3c74cd51, 0xadec35e41296ca11,
        0x87251f5a313da0da, 0x4e6fd68ea4db597f, 0x932948f0bfc3e014, 0xb4a8240a7ab94403,
        0xf6843ab3f1c5aa6d, 0x2b51497d28daf7f1, 0x3891a2daf69b22cf, 0x5d1be0cad66316f0,
    ],
    // i = 102: ln(1 + 102/128)
    [
        0x96074f6a24745dcb, 0xd4e18dd14f312a40, 0xa546f842b745196d, 0x2d83ac4288043648,
        0xf1efd6bec7a398d4, 0xf59eb28a6ea286d6, 0xca3f05b758797f08, 0x979b5ac4888c4872,
        0xba425227b2b6c925, 0x4b10cf2fd5a52bcf, 0x0b32db7b194b5156, 0x951ef9e8490120bb,
        0xe353df0ccf47da9e, 0xaf9e19d52eb0ef53, 0xffc19e8d8dfede6f, 0xc13b639c3ba9d065,
        0xadca0c2c7c6279bf, 0xb9890708be0822b8, 0x5d7e3baa7814a472, 0xc343a825745a1833,
        0x61b4f11fd4ae2236, 0x1ec239542189c68a, 0x8242094ac38ab25c, 0x898d88bc413e6402,
        0x2b259d289180f835, 0x8b19b985755db6a9, 0x515f98b720887a66, 0x24caab11f6296799,
        0xc747c73f41d923d7, 0xb47adb0d8956af08, 0x36f847546839fc57, 0xe0f50b710912e548,
        0x75d7512340b40e42, 0xfa07505df512149c, 0x1c00bdbab76de630, 0xfa6d784617e9bf07,
        0xdd5be8551a53f479, 0xdfbb2645008b6e94, 0x9fd038deee5ed337, 0x9b41f730c1682885,
        0xc3a4f41f8dedf547, 0x9c2abfab77139712, 0xb13ba4c74b40d247, 0xb8bb681587453f60,
        0x03536499ee6f5625, 0xdef54297597aed82, 0xf0adcff782ffb6a0, 0xd2566cfde5aa8572,
        0x53de2137ccf83976, 0x3e0d7f553807170e, 0x652e614bddb95b1b, 0x592cb7e3ed5e20fd,
        0x375d2aacdfd25f3d, 0xb661700955bf0faf, 0x091b190e56ce518a, 0x306c852222ebe92c,
        0x902e3aa9dea0d6a7, 0xb1f37ac5a8c36b5e, 0xa93feb5ad4aa33b1, 0xe2e6c115a4acb4f0,
        0xd9e26e2e1d52df06, 0xcdb92f3a68668163, 0x54126c4016cb884f, 0xf8bdd99098dca120,
        0x7da8026ed772231e, 0xf32051e8382061fa, 0x39e0237044b59774, 0x7bcbce74c7697f92,
        0x94d737a663182ff5, 0x2cc87be794efb5fc, 0x33e51ec08a63b715, 0xf2d734d388d1d5dc,
        0xa162b6f54e42ba26, 0x2eba420b9bcaea59, 0x254582fec55e7429, 0x3ddc8fd69553d75e,
        0x0c7df97c1d65b824, 0x5ddb6af34d96ac28, 0xe487ff02153b03c1, 0xbc08b5a1d478802a,
        0x8d65ea8215c1d03a, 0x27ab2dfda4c5d882, 0xa944c2bbf342cba2, 0x6996d2d121c935b5,
        0xcedd44b730465d57, 0xb01ad22fa65ca372, 0xa978fcdc6ca4c545, 0xaa96e175d1b7cf0a,
        0xf3929cb98aa07181, 0x88f976e8228b20dc, 0x24663eb535463086, 0xe2445b9aa20c7776,
        0x223c7ef6b275d535, 0xaeaae99757c1475e, 0xc6ee05f1849c616a, 0xa6a365acb0277cea,
        0x8dba877855b71d0f, 0x95c9e658634fefcd, 0x38435c1d02da5abc, 0xd1fdba6cc05d226f,
        0xe7c0bf55ae4c0b3d, 0x7d1a3feba2ade302, 0x773c25e1c1c7e099, 0xbd88c4ea5dda0e9d,
        0x3c41705789779c17, 0xfcb3abc90c2f0414, 0x1cf320a4399a8ed6, 0x1d172fdb581e2563,
        0x42ef995345433c61, 0x10e6e4226c6136c6, 0x86abf2e006187d86, 0xe34aafd4ebc8cf59,
    ],
    // i = 103: ln(1 + 103/128)
    [
        0x9723a1b720134202, 0xa10c34910d589296, 0x794a2964475e2e71, 0x79b791963f080baf,
        0xf8a9352197f074ad, 0x3c526d19bf521374, 0x9aa1da7dec7a3208, 0x51789fa5a599dff0,
        0x8d0bfca58124cdab, 0xc2db69873127498e, 0x0d14b0b85f0e09c9, 0x210b1721373ecb9a,
        0xa06428e7aa43ca19, 0xcfc103a3d8ba6d2d, 0xa5aae52929552797, 0xe764e36500284d5b,
        0x1a7fc5060a3dc5ae, 0xe3d8651af9ab69e5, 0x713a57dcfd8e0316, 0x61b8eb80b3710406,
        0x9164b93d3dffb359, 0xee0b74c86fcb0c5b, 0xbdc36f94222558c0, 0x7f180481f8cc0565,
        0xe7e1c6b59bf718f4, 0x727d2265d45e1178, 0x5462ee881a9f2cbf, 0x40164f7e470a4817,
        0x177504f7099c2e17, 0x289c1bc961780acc, 0x37f7a6a95272bb46, 0x02b4aa6b03e42d98,
        0xb3f5272c04f9ed64, 0x2050724a6dbd1f3f, 0x26c4ba1025e11d88, 0xd3b2b185aa7612f2,
        0x1a2cbaccc9f34a99, 0x803b5b18cfd755ff, 0xd2d1e6a9ba0dd80a, 0x00a749c31de6364e,
        0x00a6eef444db40e8, 0x3010584655fbcf3f, 0x3b4543d0deb6e5fe, 0x8bcf860f31f4fbef,
        0xb874ece4a0f976b7, 0x7db308006ba742e0, 0x790a5c6bae9ea8d0, 0xce9a266d01f50a48,
        0x9b08cd096890d522, 0xfa33ef71151e1226, 0x5caacad9d6608358, 0xbe12749b0ce2c195,
        0x14b20466a8f11d0e, 0xea64fc3d3228e7c8, 0x9c73ba1c096c01a6, 0xda571660ed64d080,
        0x0720a3bc22749058, 0x94431d76a8f57345, 0x2aa475033528521d, 0x583f96a7cd6fc56d,
        0xa3288e817f633d35, 0xf52190fbbff6c111, 0x4ce3963e36b977ea, 0x23c51158b069fb2f,
        0x8d86aedf532e9131, 0x6acd21c0997d5230, 0x67f8851525a756a7, 0x32fae15edd04474e,
        0x6e757fea08a62389, 0xd5d688cc0e73dab2, 0x7aef85f71386775e, 0x0803140d4636b292,
        0x30f66f031b94289f, 0x753b6e2a7b383858, 0x874793659488c896, 0xfc77fa3028b0bdf4,
        0x428f1b0216d1e908, 0x61bd155b01c932e5, 0xfad117ad15be1782, 0x998ed5559558fe69,
        0x1166a33c27d22043, 0x33afaac4a5af0f96, 0xa66c4c8db574fa32, 0x67a4c1c6aec643fb,
        0x8b3f4190560028a7, 0x31d941fdb35226a7, 0xe6f577f7542ecd39, 0x16f11787435c7a9a,
        0x61ea672490fbea00, 0xcb8724fe186a772d, 0x89cb38a68900c451, 0xc4f81f2def371a20,
        0x7b0479b0f2398a23, 0x34a37e8a2bc295a7, 0x28eb2b1e25d12123, 0xe0298ecffe2ad2ba,
        0x7fadb2c0fec4009b, 0xde74e6c07ca2c31d, 0xb0599e10683b9c94, 0x04d7d9edff91e3d0,
        0xb95fc6750026fe51, 0x154a59b85ba483f9, 0x02ffb7783bc722ab, 0x2afe6417ebd98c8a,
        0x7f0b67218b70bf56, 0xf7ada3056ef07953, 0xce5d26b2fd478e28, 0xf065c0f87e29d233,
        0x7d1ac2e64750eb11, 0xd6e91323f9041b3f, 0xc1c2f40cc90a4a30, 0x83f5d5be69516f97,
    ],
    // i = 104: ln(1 + 104/128)
    [
        0x983eb99a7885f0fd, 0xac850fab36cdee18, 0x0b7013338119ba91, 0x4042089c636df445,
        0xd3bc93b7e748ff9a, 0x879fae5152740265, 0x4556832dceab26fa, 0xdb24c6951304d6c1,
        0x7223dd0819bef850, 0x87c74d89320f43fe, 0xaebd159ca32d0db2, 0x325a17285bd23e2b,
        0x852ee7a931248509, 0x7dbc019e1c925d42, 0x91bed8e6c7564f48, 0x99aaeec1548f8846,
        0x6a438720b8497d21, 0x1de3b5b58e7d75b4, 0xfe68450a695c5c8e, 0x6de33ead11a72c24,
        0x8ae84783f8630914, 0xa54257612c2650a9, 0x240cb46a3036a986, 0x8053d2c360745800,
        0x895792166748b193, 0x323e91ad4c9e1f79, 0x6a45894c9345e570, 0x284dac4d3edbf840,
        0x2e79c66ededf9f0b, 0xae45997a5e2e88ac, 0xe683d796693d4874, 0x784362ed9f311a22,
        0xa6fb6e61e4aad56b, 0x486076aa92cec2b3, 0x7298234b237e4f68, 0xd549c06e7d449ab2,
        0xad76bf1f6fdda1f1, 0xb2198dc12500a5aa, 0x1c4800ed7453b41c, 0x125b748d263ffe79,
        0x984c129d9317a137, 0xbd9ddb08499eb971, 0x91ce9e6e7d082452, 0x4fd7c8ce9f23712e,
        0xfec4305ec03ed786, 0x731e3cb97e6cf65f, 0xbb84db4039097da5, 0x045f1594ca43cfc3,
        0xde3e2c18c15ddb86, 0x5b5ac31dfb1a3df6, 0x904dfd1e4867acbf, 0xd084970f87046418,
        0x996d186820dda2ca, 0x59994cf2097b323f, 0xc3518b4512b0e99b, 0x4097a3a8b9194b6f,
        0xb213c2a573b0acbd, 0x64c68a0455ebee84, 0xa3e162bd6a29bbc9, 0x607e6dbf98f2ae0f,
        0xfce2d7a4fe95a648, 0xb5fc3b458a52103d, 0xb4153104473247e5, 0x37a6f45eab50da80,
        0x3a1d7e62fc40f5a3, 0x8b862fa1f1623d78, 0x0a1f7f4f18a5e2a5, 0x0f1cdaf6dee2af0c,
        0xc4fea923abe8e5bd, 0x6d4f6f46dad4858d, 0x6013dbfec46e5752, 0x5cdae11221920b48,
        0x1b4c1b703b743a93, 0x9e6894d18cf0e5d6, 0x5bae1b1c8a01e48d, 0x49e0e8dee93ab351,
        0xd99d6ebfdb4922f8, 0x3f555f43becc2202, 0x15ad8ed817f54094, 0x6860fd1b2ef4f9c2,
        0xf02d8ebc0780f954, 0xe785b196c7406031, 0xe008534453ea02bf, 0x69c84f950093118a,
        0x13b73e052e24f69e, 0xad1285d56a56c805, 0x65e105de104e20c4, 0x4bb560ce047c083f,
        0xd3275c9d808c26a6, 0xfae9d11adf2bd218, 0x0190be40bd71cd88, 0x3bf83fd889bdc8ce,
        0x3e7c83b46de00e13, 0x5250ed71b054098d, 0x4da50acf0856f70c, 0x39a72a40970af683,
        0x9df013b899e469e6, 0x0355e7080a0b638c, 0x8d9ec400d27d8a7c, 0x2085d9731aaf0f15,
        0x9369651bb218a115, 0x7ebb25e5f0b12e59, 0xe8e77b9d0b6225a5, 0xb53920b663235848,
        0x688b962e8b0d2069, 0xd882edc33397c112, 0xdbb4a6bf13a2a46b, 0x690db333daf4b743,
        0x4cd6a327b5aabee0, 0xcb7d190108dc4c01, 0xf666e89a4522fc08, 0x65f27bb70ed884a9,
    ],
    // i = 105: ln(1 + 105/128)
    [
        0x995899c890eb8990, 0x2ab5b3d916b06715, 0xba133462ddf94bde, 0x6b3a547a56157af9,
        0xd14142a8246215d1, 0xa6b569febc7ef3d3, 0x0dc0b96c57cb315a, 0x8297bef5a5640a3c,
        0x813a6a8b3be40f9c, 0xda88868550483784, 0xdc31962666253bb9, 0x23a5c55c80a0bd74,
        0xe257ce5ef1ebfbd5, 0x6a78b6fcb8c3cfac, 0x2501b733a4f3add5, 0x4d3963d54fc27d3f,
        0x6eac26d0c9a430d0, 0xefa461e66b076e79, 0xd95c473f821c982a, 0xd79cf00f554435db,
        0xb57d574bd638921e, 0x6b17810a277d1d47, 0x391343fde612d6a5, 0x6def4c4dd1105216,
        0x81946ffb1f1d88cb, 0x10596f9c1551e748, 0xe3cf6d5002dc2450, 0x6387723671102bd0,
        0xa9733aa4b0666842, 0x75c9603b8c2bea84, 0x96cb4616aa492c3d, 0x80d20d178fad8475,
        0x582aba177895bc55, 0x6c0313be092d6f10, 0x6469b36dc7311983, 0x29055b4fbb66aaf8,
        0x08befc8c21e43b13, 0x087b23e1189efc9e, 0x5287d7a6ef64b3e4, 0x4a921f4ae6c243a2,
        0x50fdff35833fd8ed, 0xf64e99203861b288, 0x4a05b2f0c1763d6a, 0x27ce2bdd0fd897aa,
        0x4f348bd476ab2311, 0x4420ee162809c1c8, 0x208591fd3715bda9, 0xdd3ed0fc32cf597a,
        0x8c1b04bfa2d63152, 0xb4819b7d5ae967a8, 0x64a0d2719786aeda, 0xed340ae26cb8e680,
        0x2260e50aca35a703, 0x64b3bcdecdc6e3c7, 0x6590216251cbb6fe, 0xce9d66b9d0cfc92b,
        0x7fda77a225f3e96f, 0xf290374786b57b8a, 0x3aed3faa181fbe7d, 0x4b19cd168cb7dfd9,
        0x9259841aa48e954c, 0x8581d1bded8cf861, 0x7ee32a059c0b1bec, 0xdb280c22a55c33d7,
        0x92f3cc4f8deadfc0, 0xad6a2bcb70b1bd6b, 0xf874fbecb2598cee, 0x70a90866240d4e6e,
        0xae67e971f0861f1e, 0xe5a1619c27628a82, 0x7ca46a54ffcc0c23, 0xe07af648b45f1bef,
        0xdd4456a243b304d1, 0x0b0e87fbe01f2ea8, 0x2c9c418f1980de58, 0xc971181793d15f65,
        0x8d301483a738d6d0, 0x927e1362c8b3e992, 0x8b2b01fde88f5657, 0x01e959b822997717,
        0x2b5445b90915cf83, 0xbbfb66a21db94b82, 0xd255de5dc166b9ef, 0x6fe8cc9de6523a24,
        0x07289fae62ccd242, 0x4f0796507038182e, 0xb82bc4d26577075b, 0x580391f31a958f3b,
        0x97a1d68c6ef51c16, 0x033e5c748f4d775a, 0x8087be1cc3efd25c, 0xf4b8bd20d3ab5882,
        0x19d3fa96b7f42a20, 0x722917ec131b83b5, 0xd3260796394a8bab, 0x37a9cea81ab9d567,
        0xc6b9a030021c95f3, 0x216aff09662df045, 0x4f6366f0d091b263, 0x28c7fb0d74fded26,
        0xf28f8c618cb70127, 0x878f9b13054eb19b, 0xd45fa5ce0c33476e, 0x4a883bf9b5f9a0d3,
        0x751457e0796960d9, 0x3c796000b0b815aa, 0x97e71b9d8ab78477, 0x277efb6d78bec4a0,
        0xa74bd782b895139a, 0x078dfe8a6fb64884, 0x5ca243ce6ab324ee, 0x6b0cca6d9af27d33,
    ],
    // i = 106: ln(1 + 106/128)
    [
        0x9a7144ece70e98b7, 0x5c96c42e72757253, 0x1ddfd382b6be4109, 0xc765792d9d8edefe,
        0x5e8524f6366668d1, 0x3cf7c12f305274e7, 0xbad3588c35a6ed7e, 0xbf91ec4e45128ad4,
        0x80da87a8d6fe4710, 0x46217e77c46864a9, 0x90e2cf867113f44c, 0x3a4141b5fc49c279,
        0xbb77f6f0c0c4c92a, 0x1889f3af806d52ba, 0xf09e54fbb7c0c984, 0x2f1a7c18396b705b,
        0xc01633464c44f84f, 0x7ec4bf3e7ecd0f81, 0x0e6007828b657a64, 0xf38fbc9bf41c6f5a,
        0xccb54b9b71872c91, 0xf7433a2e6a142fcd, 0x5f8da0c942ded5b2, 0xf16302a23e2757e4,
        0x8001de577dc0bf12, 0x998bd9debb6e96e5, 0xd2730f9344c59d4a, 0x4c036f1ca4aee8a5,
        0x84b0b7d5f041a507, 0xc807e892781bf0cd, 0x416cb252679b1770, 0xc9ecdf725eb832aa,
        0x83d6e3d1a303ac6f, 0x6a641c66223df16e, 0x21176578018722a4, 0xf4d13ae27986455b,
        0xb9744013032b7ba4, 0xe161c24d68d6ea26, 0x8c45127cbf46d4a1, 0xfad5c31b27175745,
        0x313f53e02f862586, 0x1b2d1bcc8f9375a7, 0xeaa9f9326f955ea8, 0xa0601a1cb09ebeb8,
        0x55c65f393c2eeafe, 0x7347da2c68707c45, 0xeeed9555cc53dea0, 0xe6e8689661b5b477,
        0xf8633fd4f5c5bae6, 0x864a166fd31eac2b, 0x9ded7c5efe9b50b7, 0xe654cfbdb2e6caf5,
        0xccf676f974421551, 0x1feb64eee7312d89, 0xe0d95e98b1d41be9, 0x39a39e53fcdcada2,
        0x6eaf365c845eda5e, 0xda926082886ca9cf, 0x29435ff9fbf4be85, 0xfcbc31eccfaae523,
        0x0d7c2535341da2d9, 0x46ce9e442e7ef2d3, 0x4433e06525190f4a, 0x6fc1d1a94a397ed9,
        0xb8fa0c0e6813eecd, 0x72ad72d8b8a3611a, 0x07335307ac96f54c, 0x47b818dd420091a3,
        0x6a357f9fe19e67d7, 0x7a7ad82e67037612, 0x2df1c794602ed453, 0x15465c8948dfb02a,
        0xcba20a6c16e11c60, 0x2ef037e9b87cafd3, 0x39f059126e03d5ea, 0x3f0915162eb36c05,
        0x75a2e92c2deb4f78, 0x54cc37a06bdd64e9, 0x08fb6651ed3d5e8e, 0x3bbc3147453e296e,
        0x8823abca88804b0d, 0xefd61c1f5013dbe1, 0x3fdae49e9200f3b8, 0xd4f73099c97a4c7c,
        0x8defc5fe15685663, 0x8b5cbe5e2cfa56f3, 0xa0763c49d6508ac9, 0x3f11d58e88930a3e,
        0x72e5e28233fd7a54, 0x0194b2dff88ec558, 0xd74a90b5dfe24f58, 0xe904f3183113a3a5,
        0xdef154bb61dffa20, 0x65b0b232de5502c7, 0x0c92662d2b77306c, 0x9355fbc42adfdb8b,
        0x9ed7b9d4b467789a, 0x1e0117464dde277d, 0x0b41a56f72f4bba0, 0x2af252c1e2fa2c66,
        0xada02606a078aed9, 0x813cbe072a94d92f, 0xc133dd9863bd3be4, 0xbb577c83cd9d21a5,
        0xd43faac3105106a8, 0xd4d6395e5b857276, 0x62d8b365849ba2dc, 0xdade73318551d5d6,
        0xbc10185d7315ddf4, 0x45c78d5066848dd7, 0x527f49dfbb36e108, 0xba1a0066a8df3656,
    ],
    // i = 107: ln(1 + 107/128)
    [
        0x9b88bdaa3a3dae2e, 0xe8124226efc8f895, 0x8d986c2816c364d0, 0xc110a7922bb4ff77,
        0xd14e82659d03b869, 0x5a8770efc0d05d00, 0x618792f83474d5d3, 0xc8b6db72b0a314a7,
        0x95f8aa272976fa3e, 0xbce14335965348ac, 0xa877d2c13f8a07ec, 0x7659f41cf7896580,
        0xa6d741465f47c3ad, 0xb32b0de43e282af9, 0xb40071b88ee4b033, 0xdd6311a058167561,
        0x703575fab793a0b0, 0x08db509575f36b31, 0x4f25ece683e99e0a, 0x359781c3ace42fe7,
        0xe979f00812b24a47, 0xc76db6bd47b76840, 0x55e695c69287ac1a, 0x0d3cb179288bbec6,
        0xdd33d111cb02da55, 0x4090b311a98ac8d0, 0x5f9c58aee55e0c78, 0x699703d4190be9a2,
        0xb951ecf7225345a4, 0x65dfb659d61be01b, 0x7a9acc245d151c34, 0x0618217bb852ba8b,
        0x80ce7fce23fc6cb3, 0xc23b42b0d133704d, 0x6e4dac1128bf90d4, 0xe0a968ac05b951fa,
        0x55446878a9eaaa52, 0x43a64ca463615fe0, 0xe3fb55e92bdfdde4, 0xb31a811a234b1607,
        0x0e9cb9aa3fe69b7b, 0x221740407dcc6065, 0x31c6998146dc3e34, 0x743268911f660a5e,
        0x30b28ad522bbc07f, 0x42d871794104ac1a, 0x793034ee01b7aaca, 0xeeadc013ec3009a7,
        0xd5bfc5849eab2298, 0x8cdb5cfcae40ffe2, 0xfe3d94104d2e0690, 0x03630db3f4d9a934,
        0xf4efe1884b3d8bfc, 0xe3e1ff8e15b8ab2b, 0x2cd802d699d364cc, 0x5ab635ea49be4845,
        0xf047ce0adfd2fe6a, 0xee653deb524072b3, 0x4a8567c91e75882b, 0x3271bf190bfea401,
        0x8ee19e67b4761c35, 0x38ab3b6f400e94e4, 0xe457ac022787bfcd, 0xd3fc72215e214490,
        0x1565c73809283063, 0xf29426dc755b29a8, 0x746d0faac1438df1, 0xada5680e9e9592ea,
        0x2695151a0a1bfa63, 0x34da1337f2bcdb5f, 0x75fe4a42087694c5, 0xf68ca218f702acec,
        0x3439bd216b4ea5ab, 0x782f95b4ce2ee26f, 0x113939dab1a8a24b, 0x2e168961438a0c36,
        0xa77d2a871767952a, 0x9b3e6e4144fbe13a, 0x155df624ba5f4b69, 0x609027241072aebb,
        0x41db6e52bc24d31a, 0xca4a1296754ec569, 0x4b2b498b789e3f39, 0x751cd824a7ac3de3,
        0xd0ccb414c1280b0e, 0xa99ac2ec28d7e90b, 0xba095e985d29cbd4, 0x15e7fbbce9012aa5,
        0x935f3017f5616e28, 0x02bd7617b4bf1cef, 0x561beabac52e88f4, 0x083fcd7809d8de6b,
        0x0278941e8d6f7e98, 0x46a24cfa50372b26, 0x55d6853a4c04b220, 0x2d34d0be8027bf5c,
        0x7bafa306f054a339, 0x9cccdf966e31edd0, 0x216ff34c68a93931, 0x3b059a83100eba65,
        0xed1f2f1069191686, 0x4fc3d0f2a907de7e, 0xd9540f0713cfd7ea, 0x8430dc4289ed8b9d,
        0x10291ff54fb069d6, 0x59d3f31229b7f156, 0x0e0ebe17f67e8c1e, 0x278483c36f5fed4d,
        0xe1d3ae39002b8a58, 0xa21f5de3c736ee07, 0x06f808b713c47408, 0x05c8b212da995fb7,
    ],
    // i = 108: ln(1 + 108/128)
    [
        0x9c9f069ab150cd4e, 0x221301b6f8c38f62, 0x1717c9e700413260, 0x41e7a8452170e2c2,
        0xbc176f0ab57fe9db, 0xa87f09fa3dc6a386, 0x2df8d83061955f50, 0x829512bd48fe0250,
        0x05ee137dfc56c332, 0x32ff3f4a8f098f86, 0x09df0a3df8f275d8, 0x01d333f2d534ac6a,
        0x452ad576c685ef55, 0xb11bed46a43b2af7, 0xcfaeac718be97053, 0xd8645c21a7d79f40,
        0x7f49b521802a5319, 0x789aa82ebc7d2a91, 0x29cfbe83c4da0173, 0x5c42a910b87edb43,
        0xaceafe5079992842, 0xb8f3d28b028fb6c5, 0x8df1b6c7a711662d, 0x186a2fcc5a498920,
        0xa419699093eac8d5, 0x668004d9fd776a07, 0xbaf7f6fc9dff96db, 0xbd61698be20b25a0,
        0x6d465ecbbe60b1a7, 0x67b7c57aca719a6e, 0x41e0182ab456440a, 0xe515744c71d7f70e,
        0x84eb1e899063fe62, 0xd18acdc27b05e841, 0x07517145622330f4, 0x46254ffc1444eb25,
        0x18b1ae23538d181c, 0x1b90ac77b802e45f, 0xe3b4fb1af7227e98, 0xc835f76fc068dac8,
        0x013f8140aaa52884, 0x003521b7e0d17b91, 0x1cd4fe042bbf67c6, 0x7107bd77cf590976,
        0x25ad3d1d08cd2cbd, 0xcac99645132d945f, 0x89e817d915a52e6f, 0xfaa943467d386dcf,
        0x031b3b132863b978, 0x0bcb33921d1ed74c, 0x3d76e682c34019fa, 0xa662913998dec9c7,
        0x57d44fe717318be4, 0x238dfb9f75a663a3, 0x5cc1ef06d8a9c922, 0xddbfe9e248505f38,
        0x3c6ec6d361f58587, 0x2b3124a1ab96c4c0, 0x4d0d83f3a15861ef, 0xce00d1adae3e0558,
        0x16c6bb8684f819aa, 0x2ce2a36c8629332f, 0xe26ad3e5eb797c6f, 0x9ff9056423a3765c,
        0x8fd9e0db68407d0a, 0x4ee0cc269876d98e, 0x332ee1a3d97461ca, 0xe5dd4cb2251fb00e,
        0x420bacb641452c76, 0xc3a5cb835675a166, 0x366ce5959f23dc7b, 0x2eceebdd21e887d8,
        0x5d462bced1270d69, 0x9d29215a7a3070d4, 0x423a340dd4f3b38f, 0xfb4671b4a4e1b66e,
        0x92acdc14a7330ab2, 0x058300a6531e25dd, 0x7d811b64fec0cc78, 0xf1a0f711a95c7541,
        0x991d68e44f236ac5, 0xd6eca2bfe6ad359c, 0x696105b2037d049c, 0x79f32ca4de805815,
        0x328918cefaeee1fd, 0x3562cd0d14c58693, 0xea30f4c8c9d1d361, 0xcb5ebea8be3b3fdd,
        0x28e4a3b148fc84fb, 0x4d347849e7eb68a3, 0x289e9a25214ea383, 0x2fbe22a00ffd0644,
        0x76a862d04426c7af, 0xcf0120786f5d2c7a, 0x15879ec4eaa597ae, 0xe4b5a27136002f68,
        0x97a31e1fc1feb973, 0xc5bf13a438d2827b, 0x01a8e917f72ec271, 0xb7222b3e0a164289,
        0xea810120dd58833d, 0x8b118c516a1fc3f0, 0xdd85af6885538099, 0xddac3a45e8a6678a,
        0x1e8d7c3092d3686d, 0x79cf5447e40f0896, 0x092c9c1392ba74a4, 0x12d5b126f0ccb68c,
        0xc0f1b7d1be3f7a20, 0x508968e104db6a49, 0xd08da3980e4a6dab, 0x42c3273ab00124b9,
    ],
    // i = 109: ln(1 + 109/128)
    [
        0x9db4224fffe1157c, 0x76f60c2c9b341d6d, 0xe6d9b9591a54790d, 0x29adc2b4c90a2c44,
        0x880cc7924c9cf538, 0xb42d427939c54415, 0x2a5f91d4ca04f4bb, 0xe34b57697bd85e3d,
        0xe5138876c12365dc, 0xfcef8c5223613508, 0xd6e348dc23c08136, 0xca1e47b1558aaa24,
        0x548b53cd25be5a78, 0xdfd15579dd67ce3e, 0x91d68ced00432b11, 0x1a23aab90a0e421a,
        0x7351cfe74a0e5eed, 0xc7478cf3afb734a5, 0xc0da9bca5958f96f, 0xb4a59499489c62a7,
        0x56e90d15c302b19c, 0x0c3b30e7b6ce37d8, 0x7dd2d6e8d614978e, 0xda05c01223f32b9e,
        0x4ba2957e827e9d34, 0x0abc00a79efde2f5, 0xede23854f9fe7fc4, 0x4ad594f7e79617ef,
        0x150a5a0ddae9d722, 0xda4113aa57eac0d7, 0x4c0c819cc4a48e3d, 0xbba3c8ca7b06ae51,
        0x4f596d67f64c7ded, 0xb8625728d725f1e5, 0x098d6bc2b142208b, 0x66a7fd193fcc98c4,
        0x884199a3972f8012, 0x857ef980f5456c80, 0x1d059e704e3fd3cf, 0xd5687335eb61ef80,
        0x0ba7d2f34cb01254, 0x2fc1dc513560a19e, 0xfbfc4263824dab89, 0x9c258197df059401,
        0x7a18c7f8eb832fc3, 0xcb1627268ac1135f, 0xf78d6701d1eda3f0, 0x35599bc307475f1c,
        0x768ba444eb832487, 0x6e03ab125d910c26, 0xf99ea6c23dbbdd0d, 0xf3320ec45abe6557,
        0xd3022ad47bf2a17d, 0xdb72816d6b76e03e, 0x6c404ea675fd374f, 0x3947cac927dac2f4,
        0xbef5b8df2d9e4a24, 0x6dd79bd163639f38, 0x161cd3f3c35496d7, 0x46b0daf691a7c45a,
        0x8285d899e9e0d8ab, 0xbf1fb6b15ecfebb8, 0x07a957fdf4dcef6e, 0x43b57deacc5fd0a6,
        0xa96e9da80495f9c3, 0xc6ef6693ca4b770a, 0xe371c277b7cbca5d, 0x1417904159a95a32,
        0x47729bb211d7fd43, 0xfa6f211decf85aa6, 0x56769ca67bd64e2b, 0xf76c26a4b23f13ee,
        0x5bd7c03d68eefda2, 0xe20bb7fd4adb8c91, 0x8151530a4085f278, 0xa32abe2887e58fe9,
        0xa013938df5a96b58, 0x29690f8b0d7a7957, 0x440bff71207e3cf3, 0x980eaec536594286,
        0x693a45f2589606cb, 0x7c5a0a22d30a7b04, 0x7112d69a57dda181, 0xd47eb7fb7e4d9500,
        0xde24f5f72a753073, 0x79e7e59f7ded276f, 0xcc185515480051c8, 0x53ae98c8b9ab862c,
        0x5649fce8d164cb15, 0x983bdaab187db6a1, 0x4984c159a382c117, 0xe54c7fbcaba39e62,
        0x8b50222edb80670d, 0x810307a6bdb31491, 0xb23f2433cf784e54, 0xa53e3d6c19279399,
        0x75e4cca7047a87c8, 0x8934aea6cf54f32f, 0x6c55892ee7d1f28c, 0x8f836799bb6e0c30,
        0x6367c582e391b107, 0xd4b4b0b19b52acd5, 0xfcefd41eea39ae21, 0xf89c8622d609b2e7,
        0x9f7a2213055a067e, 0x89bba94c1b046ae3, 0x117535eed9461400, 0x3d157be79017f0ee,
        0xcb8365b4ee658c53, 0x73febd6d6ea2a8b3, 0x7ffe6811631bf91d, 0xdc5b94cabe42153f,
    ],
    // i = 110: ln(1 + 110/128)
    [
        0x9ec813538ab7d520, 0x2131e85693cf6b80, 0x9d96954adf1ff936, 0x0bd03b10f297662b,
        0xcfe36b8d89dee616, 0x76ffe83864671d5b, 0x97af626ac4b53d6d, 0xeb29783aa0ce0994,
        0xf68e1eb6a76cad3b, 0xad012ac7c7cafb7b, 0x130baac61124c645, 0xab11e3579656c8fc,
        0xd0496027ef2541ec, 0x9712186ce6d92483, 0x21b3c11ba16ef57b, 0xc2fb17e4bb81fa4a,
        0xb18412ab81dbe955, 0x456346d58a9b32ec, 0x737fb4d6989c700d, 0x2c54c5bff597cb71,
        0xfeb9e246f6818b8d, 0xa2fb91bf2ddd72bb, 0xc4ee72dcfd072b4f, 0x6ccfe18ffaaa85ad,
        0xb0cae132afe71c6f, 0x99621d4a3b35115d, 0xf6c244548c6af713, 0x70a436d407cb64c5,
        0x744507ee880e03e4, 0xe3da2f9c4f61731e, 0xef5a84b2cf543e7c, 0xce103907fc8c02fa,
        0x27269f814adf88f3, 0x2928f671e20d0429, 0x4876ed627b7f0ae6, 0x59f2d6156a68df33,
        0xed1a64d26a36d858, 0xc8382d23f81bcf96, 0x912782ad8257c797, 0xf2ed9df6bb34cb92,
        0x60929d2ce9a260c7, 0x69e88e535a4d55f3, 0xc7b705939c7e0bee, 0xc2557e62df714905,
        0x84e5364320b8352d, 0x2c5c66af534d340e, 0x1ecf388febc9fe59, 0x81a5db78537c143c,
        0xc167893e7d3148d6, 0x90ee00d6d09b2aab, 0xfb245781c4594615, 0x495339946d440e83,
        0xd69f545962e0c1d7, 0xb7582f9e9a5b5368, 0x3361e6e0c2b39f80, 0x2b7129115b99e878,
        0xd3f643d973174579, 0xdf7d23745896fcd3, 0x1d570b08389251a2, 0x3c9aea2cd2d463e7,
        0x5215a33152d5be92, 0xa36f924920490870, 0xe7d5d9457b5edcea, 0xe600fd52fc11ebb9,
        0x880927767a359f15, 0x0a8556cbaf37e21e, 0x68d6ac040cafd87b, 0x67a7420c336a5a09,
        0x8c9893c8b7656c9e, 0x5aa3e77354dd1f5d, 0x7f37bdc105e58bdb, 0x21be8275b1bc66e0,
        0xe75d7ea8635f3400, 0xc5e99b391853e6ae, 0xcf45d69a31846d96, 0x856804f365200ff0,
        0xd817ac7754f73772, 0xc72c029520bdfaf4, 0x808f85bb6b1bd0fa, 0x0521ca2f8d96b6e2,
        0x898902f7dd40d3bc, 0x7fd6d28aef07b06c, 0x4f236196b880d74c, 0xe2f84f84c9ba3bfa,
        0x73f4aaf7db2c3ac0, 0xd60c4f58f28ee840, 0xa410f86acb3cccb9, 0xd86f5871fc401e5c,
        0xdca704ca5f7ef1f0, 0xc4bf3758a7689e80, 0x8d277a31babcbbec, 0xefa3fec71b4a88c3,
        0x384b83f3f3508f5c, 0x2397fae2f23f1f9b, 0x5b067d52d177e742, 0x9c2f76c4c6235bbf,
        0x418aa50350865d10, 0x6ae692f443d2b775, 0x3ec34cb1d33062ec, 0x3476a7ef89fdeace,
        0x046fd77bee6abf92, 0x69f2f69cf65b6921, 0xb48d9cdd629ad664, 0xf94b2a73c97f1cb9,
        0x4c7c3dfeefeaf30b, 0xe4834373c6ffb12a, 0x18c7210a7b83e975, 0xca022bbdc5c421ba,
        0x20ac9d99d96b22af, 0x109dda78cf9573a3, 0x68d7872d3048cd9c, 0xdf6cbde68b65b682,
    ],
    // i = 111: ln(1 + 111/128)
    [
        0x9fdadc268b7a12da, 0x74ea82e55dde6c84, 0xecf33acb4b72b4f9, 0x71168dc1bba84ce8,
        0xd8c6dbf64f170359, 0xed2d7b5ac5cd1a0d, 0x2e916e2d045b8bbc, 0x9d4d0b6b6fa22492,
        0x51a40935c2b37607, 0x4420d6356087111a, 0x5d19a77a6db7a069, 0x2343100ad820bc56,
        0x537482db5a81a56f, 0x7d7718336a584368, 0xeef706778fe36f25, 0x9ca5c35dfc97502d,
        0xd5749b66e04f0636, 0x92b9e6d3342ba3fd, 0xe33c5843302fe994, 0xfd4eb3771ae881f7,
        0x4de8b2a2eb329a18, 0xe485e74c1b47cea9, 0x8bff7e7d46035f79, 0x0e93865edff3d29c,
        0xff499ddeefe689ee, 0x274e9cbb1e218434, 0x55f6efe7c7d87d63, 0xbe429543c2e7edee,
        0x43aa96150c8cc592, 0x418e7176fb188c8a, 0xf7100a1099ce1317, 0xc0f19996f0c5bf33,
        0x5d5eb8484374b259, 0xc4aa5073d377c56a, 0x070a8ea37a2a4ead, 0xc7557305dd7dfc31,
        0xcd9063eb94e46167, 0x5c47246351589da5, 0x5582188b8db7281b, 0x8d9d2b4e9a04b350,
        0x4500fda7b995e2b3, 0x8a867510d3987690, 0x515b42329c977ce7, 0x8e28a7babd1ce877,
        0x96b0750e4432536f, 0xcd5452148dd99771, 0x5adc5d98985674c4, 0xd356cab42e0612fb,
        0x9e6b5ebe361db190, 0x506816db75954824, 0x5b4528c875dc9698, 0x07a1f725a1f6bbfe,
        0x2eb2564b388e4c4d, 0xe7e5d963ca5bf970, 0xc1b5c8a5b2b9a005, 0x00de969e8b9a9a25,
        0xb1788f682028cdeb, 0x39aea3767a90de4f, 0xf2bf1edbc4e8cb13, 0xad69999c31e99385,
        0x49f61cde6cd9df3b, 0x3b28ef3f4c9e9ec6, 0xb24c51503e25b110, 0xc70a7c75c4e3880e,
        0xb8fb55a73ad97c06, 0x15171a489b945980, 0x430854970d8e4864, 0x58408b6e20a8de90,
        0xdea0fc57666cb086, 0x19a4fc5bc76dbd16, 0x11cec4848f3cfbeb, 0xf7506c2d18db90dc,
        0x966de3aae4dc2e23, 0x72c164b6d5b9fd06, 0x67591afcdc292572, 0xed871b1271ad78f2,
        0x6ade1552d84fdbe7, 0xc8e2a633176a25cf, 0xb250c366d35ff8b7, 0x02859c01c5af6ff7,
        0x8c6dd3e9e3e26ae1, 0xe06fe2a9341a89c0, 0xf381c984aa393b30, 0xfeee5daf790e57dd,
        0xe2d57c7059028171, 0xcc595ebdecbac542, 0x88254f8eaa3cae79, 0x15293cfeb0a20f4a,
        0xb11bcf13b7b18242, 0xc65f693d1b9b1503, 0xfd8e54a95278dc89, 0x28f6a138c31786ef,
        0xf1ec0110da487eef, 0x7aeca7ed2150e9df, 0x8a9d573b2242b22b, 0x0f857123161bca47,
        0x0e44b60866b1aacb, 0x3df03552382c800c, 0x77f8d06c997ae999, 0x185e97703451cc40,
        0x1ec59a15c81aa1a0, 0x7e9c526f3e34ac8f, 0x2fb56af0151b1676, 0xf221a5b8d3cd93de,
        0xa699db19570e98e5, 0xa09c372ac4c9f3a0, 0x556aecbe8529a630, 0xf780cd46d5bd6b3b,
        0xcc255d42a70838c5, 0xe566bad122593d6a, 0x5745c65b9ec3d399, 0xc61cc565f538fc5b,
    ],
    // i = 112: ln(1 + 112/128)
    [
        0xa0ec7f4233957323, 0x25e617a300bbca9c, 0x4486ea2756f59974, 0x247c0b842a5e02a7,
        0x6471b5af1bb82762, 0x2bdfda46892e5832, 0x5f29ec911df6c2fd, 0x2018ce5cd6124129,
        0x6d294f13bf7b720a, 0xb61aa15bfa015b3f, 0xf4fbfad61e779be3, 0xd949d7f82345a626,
        0x2efcef6a91dc8438, 0x482aff8ea9c58734, 0xcb1036559f449259, 0x7b88a4ae4af1c092,
        0x67efb09e4869ad7f, 0x1c63e3eb2a48ec7d, 0x8279e5103669125c, 0x24d6300aeac47175,
        0xc91b276c2d451c90, 0x094cf32afabe85a9, 0x67f9e30ea1f40723, 0x57bd5ee8ae161f4e,
        0xc625073cad306db4, 0xcc42beab67cd1259, 0xb2d32d0ad7147b34, 0x56cbeffe355b7181,
        0xe2c137e7e4f011d2, 0x9c3d1e446ec75feb, 0xbf587683c6581992, 0xcfa0139230905c34,
        0xca54b4d315efe214, 0x0f19e3d946f6dff7, 0xe154bf88738abd1d, 0x0175a3517841791e,
        0x82c2b266d9469019, 0xd0d13f2dc3d9fd22, 0xbf9b8c27cc929580, 0xf62ae09460f0d5f6,
        0x67650274c72c1b60, 0xc4b3c83ccb1e0de6, 0x3039f9959a2ae7d0, 0xa0c934ae24c98516,
        0x713fd63bfc6aeb62, 0xe883945126176ec2, 0x6b336fc67b2ce694, 0xb1e2446ecbef354e,
        0x1d8151b23c5ed383, 0xe98c11fcce086223, 0x4379a18c021f9419, 0x87aa8bb84768cccd,
        0xbd88a3ba56535d4e, 0xa137785ac7071b73, 0x29a7c595bc3e3f85, 0xde831202f04368f4,
        0x9857f958542819fc, 0xf6727f0124997ce3, 0x4f032c1504cb08af, 0x426c606209211728,
        0x5ebfe5acce4f3e65, 0x2f9fabf818a0eeab, 0xd8d0989797b8e52a, 0x3115810b16cb8bef,
        0xd9cdda1c0422bdc1, 0x2a8333eaacba50f2, 0xb355ef57fbf53f51, 0x0a92502e72569cac,
        0xcf114edf6657ff6b, 0xbd6f659de84c5de7, 0x4f6e4b699f94d754, 0x9da09f78495bb6a1,
        0x44fdd3dcb8a1e542, 0xc8229040a8e60f0e, 0xe616fb5610fdf76c, 0x0f656784bfe7ed60,
        0x3cc494808ba939e2, 0x0726d5468318f393, 0x180a132f4b784a35, 0x6bb0a5247f9ee56b,
        0xd234b7a978524046, 0xe4b2fb5e80efb13e, 0x4b03776ad2bb66d9, 0x38d1d83fb679842a,
        0x150d66708bf06d5f, 0xb191171c1aec425b, 0x2b8d8a6f903ecc3d, 0x94c84e80887f4513,
        0x28c0aa6f00ecae19, 0xe3aecfff30dabb27, 0xc640ad2ad4c8c9cf, 0x97df2c438c79a566,
        0xe1436ffb0470b586, 0x85755b1a39996baa, 0x72739d1a6d952e09, 0xdf519b348beef5d6,
        0x1a0505d90f5b06b4, 0xd85338ccae732f5f, 0x1b5bab8a22babc8f, 0x5d660a9a3d3e20ca,
        0x49ea87d25df9f655, 0xf81092f274ba8f62, 0x1e146ae2eb266a4b, 0xf746ab93d090f440,
        0xfc56b5f93e2e82cb, 0x44a94fb6fce18ba1, 0x6032231a1b632ae1, 0x35a9fa9bc3a6a26f,
        0xa1095a7749d1de47, 0x1717532256dd1355, 0x749aff8e5ae15587, 0xdf09df56723a8445,
    ],
    // i = 113: ln(1 + 113/128)
    [
        0xa1fcff17ce733bd3, 0x93dcdb0770cb6c1b, 0xb774c2fe7ce6611a, 0xe23ae16a76d75442,
        0x0a091231751d317a, 0x72e33343a3bb3481, 0x4995554ceafb93f5, 0x48f0123e82f9c9e0,
        0x2c9015aabc2a5277, 0x785c9213ea8e1b68, 0x9f347122e33aa037, 0x6582eb276b29e187,
        0x1b646cceaa307052, 0xb886966a87a02aac, 0x1ca4996aeb7a17ed, 0xa8deb330dcbf8a2e,
        0x04e874fae4b4a077, 0x980062ef451d4186, 0xced66a60afd43a05, 0x34070270939ef493,
        0xd80ebc7ca0e4a92b, 0x8faca28c20e6a150, 0x28d0cee979e0e7be, 0x018808c61311b5a2,
        0x85383698330b8b6d, 0x296ee5a71d680cb2, 0x16f89100fdf86889, 0x580515b7a4a95e53,
        0xb39d872490b1d22c, 0x744ed6aa4513fcf5, 0x12d7dd14b7b56105, 0x21b49f17dcea469f,
        0xc10aed6d5672229f, 0x353a89f01ddd3871, 0x84c3346ba67501e4, 0xfbde7ee995a30fe0,
        0xb37ee7c998a39687, 0x8f254e4465ecb000, 0x89c43030762e09ca, 0x3cfc50a78e16715e,
        0x959867b3de6a6fa1, 0x3d69510f54e20d20, 0xb0cb48262534e50b, 0x44029200591e11bd,
        0xcefdf518d11a6e9e, 0x8885b65bcf35376a, 0x87ec5dcc5f11a74f, 0xc4325af665ca8759,
        0xf19954c255a81cb8, 0xf05e18567741dd8d, 0x64d5f6a7a755be68, 0x63e1390c71574f4f,
        0xf74330fc60775f6a, 0x80405df368464f6d, 0xfc2818294686ad57, 0xd830b2f1935556ee,
        0xcccaa7c75b41f659, 0xb0b4add69999470e, 0xa1ec46b323b4aa7b, 0xa99a9dd23bbc3592,
        0xe89fcb55c3279d83, 0x6d88534d5d6f28e5, 0x0c1594333f4c3950, 0xcf9cd0f5448f536a,
        0x59876e7cd52a264c, 0xbd9f52c7a66e9af6, 0x6d39c6a18c8219a3, 0x6e4feaa8c19b72e9,
        0x8bf26f65bb72d05b, 0x26f3c23954f58a67, 0x92f69f66e363ce7d, 0xa13cbd9a9d344e90,
        0xe058338f75c1bb8a, 0x7271dfc11dc0f0cd, 0xd2efe953ff3cb7cd, 0xe902319809d22cdd,
        0x00783b1e021de13e, 0xdc2b35bdc12f9b27, 0x8b6a98e249f74eb3, 0xe9c48ed9018ac26e,
        0xa779dccdc0c72649, 0x19be3e92fbbc3b89, 0x38430a6265a1979a, 0x3423306297dc4a25,
        0x74b8630f828405ba, 0x60c28023a877f264, 0x318f967919a4adc8, 0x126a5ec9bbea4124,
        0xd8ed45bbbd518d19, 0xc43b804abdf03960, 0xa6ff67564e2dd1d1, 0xd0b544f0854b9d35,
        0x75cd33f40c8d2e3e, 0x718e2c09bccbe4cb, 0x29e0ed966563c4fe, 0x2136dd0a49d8fd8c,
        0xea2a540a163a7f52, 0x16224df5d98c56aa, 0xddb31e2eb2003fcf, 0x52e658c87743737d,
        0x5690bf866c3e1860, 0x9838c2440dd6d8e7, 0x0614e9c8142cab2a, 0x56181d74a0c0ee7f,
        0x1ff1fce30e12ca30, 0xa7c033f46f440854, 0x9d27ec3df246feb0, 0x65b2a2c013e85bcf,
        0xa0413846405006ad, 0x5d6420235e8636cb, 0x48823e2852e2d13b, 0x8a3ad1b1ab063bc9,
    ],
    // i = 114: ln(1 + 114/128)
    [
        0xa30c5e10e2f613e8, 0x5bd9bd99e39a20ae, 0xe59a498016887279, 0x6bdd6ab952e7f931,
        0x5e241add7750befb, 0x6124acfce5fef460, 0x29c9172ae66d803f, 0x031238ab1ec278af,
        0xebb1ad2cbe1fa703, 0xc90fb927e710503c, 0x37712866d74c410a, 0xd38065b99086c050,
        0xe966ef64280b2fc6, 0xf6db2b1f071f2c3c, 0xd469930934de0840, 0x0ec0b94f9a4ca9a3,
        0xbfae1d9f231dcc99, 0xee89739f1ae1e3c3, 0xe6136f0736c22436, 0x87e9b83128278105,
        0x692d41f53c8c72ec, 0xc5721fdc30007d1a, 0xa023f31042807ed4, 0x1f18b70d82dfc062,
        0x2181561345279dcb, 0xb75d340d04a2f376, 0x5ed9f34eb94fe975, 0x7398e7e0897183ad,
        0xb6f465beaf54f703, 0x5995359e3e24e606, 0xbd27f06d79ca1925, 0x4f9bf1bc323ac8ab,
        0x4b64770024c27397, 0x6d0293d5a501d021, 0xfb0e523cbec8a88f, 0x0cb03a34a66743db,
        0x70da8460364ba563, 0x2cd199da04edcdcf, 0x05ae5cec958b0f2e, 0x3a130b6397370723,
        0xc05130b3e11629a4, 0x788112ca0e5f82ce, 0x670f02af87ff6637, 0x68c3bd88d79631e3,
        0x5d789df407e07249, 0x3cec2d76ffd9f645, 0xe5b4574a503b6a49, 0x52ffcfcadbe23778,
        0x9c83f7c1c28581c3, 0x0e84b0adca2d6a37, 0x0d2225ec3073fd8a, 0xcd5dad3785cd962a,
        0xae9c39604bf8c986, 0x782f9e51fe820d9a, 0x6af589c3c89bc361, 0x380556fd38d05678,
        0x2f1e2814a7935886, 0xc286e16598a50168, 0x147719e10c3484e4, 0xf6185e0d48660ffc,
        0xab1b7ca20d99f3a5, 0xf9786849148593a0, 0xc1e98a68a7b2e5e9, 0xe61df73212a77b39,
        0x747ddfb1a213d391, 0x3602cfca6d438d7a, 0xf4d618fc5bf3bdfd, 0xf0feaeaa47db0ee9,
        0x4aa1a918e11a8a0c, 0xb43c3c9bfb885977, 0x38bb35c0c231dd3d, 0xd8f4a6140c25970d,
        0xec0c8cec4038ff4b, 0xe2577d6ab5c4bbe1, 0xebf10bc6592e37ae, 0xca19e13ea562c0a8,
        0x474e1dc7a7389924, 0xef569263a5f5c9a8, 0x0827dc97dff8fd94, 0x3b3a0fab6ad58374,
        0x26173572dc6e0fea, 0xf8ddf64667b7a637, 0x995a1781fd3e098a, 0x4554d73d308bc6dc,
        0x0697650a67947375, 0x0a65ffa7034f8d4e, 0xc25940c5e9668b03, 0x6e8f7909734f4848,
        0x806a406e02cc0d66, 0xb4a914dac101ccea, 0x8f4b06557750e237, 0xaa24fb42f677d872,
        0xaa71a41edc46b85f, 0x12d93f77d5491376, 0xc59c2df1332f2d89, 0x8fd685dba956745f,
        0x19c8baf96237d9c4, 0x40723e54817e16b6, 0xb14968c0642ef7be, 0xca9abd3146466d57,
        0x0dbc9d06c8584209, 0x0d847c41013cde8e, 0xd1c50b7e1bb81416, 0x804d792d5bc5f5c4,
        0xd703713c9afc5544, 0x2c26b612c9954f0a, 0x48d69c40fd10b7e3, 0xa3dda9332083cc0b,
        0x4a518005a5dc28cc, 0x8a49a09b05a25899, 0x7a0bc155ebb70633, 0xa5541a03c7ad3123,
    ],
    // i = 115: ln(1 + 115/128)
    [
        0xa41a9e8f5446fb9e, 0xaf45d980fe84b0c1, 0xefbe78337535ca72, 0x6d9c0712c4c1348b,
        0xfeea53373e6f4167, 0x3b248f20052e0cb4, 0x6f85a5ab50bdc64b, 0xf8b49e95d6d3d6f1,
        0xebf361cfa83bb5d6, 0xabca32619471bf00, 0x85cda958c20d62e5, 0xc979c21648d032e7,
        0xef538dfb13ecfcf8, 0xc1b2325bd1e1fb82, 0x007e7cacca6cc1d2, 0xf996fd45c0805fc4,
        0xc1857a2ba52185e4, 0x3aecdc96d70409b8, 0xccdf98e306a8c4a6, 0xf53f902ebd3b82da,
        0x4b271a26aec47a2d, 0xf9b43c0f0da782c1, 0x54482ddb4931fd02, 0xdd60b87fcbfc13e7,
        0xed264f6bfcede1bc, 0x019082f0545e6c80, 0xb30c806a4f428000, 0x17dde0e2c434b5d5,
        0xada6e72f5d8f248d, 0x1ee2e266ad6ed2b6, 0x92937c505e680f73, 0xe774138b655fc5f0,
        0x25c428484604fe46, 0xc60c90d3e8fcc751, 0x0431685d96e9dba0, 0x0b4828454531c3e0,
        0xd4117d9d04e76ee9, 0xf6ef609ba620a71b, 0x34ce8dd62e61dedd, 0x5594d00df0993558,
        0xef8693d2cc7d729e, 0xd5364d71819959d4, 0x10d0ef116dbc3f7f, 0x510729aeb73c6e2f,
        0xd5362a48af9423c7, 0x445dc8e05e3b0bb6, 0xc70cfa59156d47f2, 0x6ae00083f9c6f590,
        0x74e3a6ebbcce2b08, 0x7d588647143eae84, 0x71fb661c3f000696, 0x55c53ef9dd000e14,
        0xd526c190f34be112, 0x8b3c542eaa44503f, 0x7ad10e8262507e13, 0x33742d35a5b3eb9c,
        0x94edd1f13f4af72a, 0x4f91dde55fcb35f4, 0xac4887fecf767e83, 0x43b4ac532a33e999,
        0xa1486f4c8b427a1c, 0x892f5846d368f9cf, 0x101c2b32f96ce3c7, 0x0537d7ce12c8f03a,
        0x69bd263c1cf119a5, 0x094725166b8a0442, 0xf22ab555ef939539, 0xf08c9a552d924f19,
        0xcf4c3c69586501cf, 0xf4ff3a06869fdddc, 0xb498a636923493de, 0x74fbf006380f8f4c,
        0xa8b3168686913155, 0x9bab737e8ac8752f, 0x0cd0af2f7d3a7e00, 0x559cc08fb85ec8fa,
        0x61cdb9733476650c, 0xc6518da98ae12daa, 0x18c1df0f6834a944, 0x609613ffd6a5b8b8,
        0xad9292f707d3195e, 0x96e082060886ff67, 0x27cbff2249ca48bc, 0x220c276e9c8cd96d,
        0xb1b5ff26da100170, 0x693e9076b6a62fbb, 0x83973d787b8b5b5b, 0x83cd09890d5ef7f6,
        0x100a6e59a1a1bb55, 0xd9d510130695f908, 0xff5232353e4ae94b, 0x51348790264f8871,
        0x021d5d0e386a0754, 0x3a6b0713a9c5a071, 0x3088eff5e522ac46, 0xf13318edc084e056,
        0xc90b91ebd5b250bd, 0x1bc3c2d13e3c7f9d, 0x6b951c4f66873385, 0xa1441d4844f2f22b,
        0x548d24bf3465a6dd, 0x8e8e728f442a6187, 0x5d9f6e5c172fa5ef, 0xf7ad7ddd2fe68588,
        0x0e651ec0e888213c, 0x38a2ccfc572185ab, 0x1d7e71331463967a, 0x10092ebdb3590179,
        0x69c99a8dd71117c5, 0x4ce51ce94836b793, 0x314842a4b69fcbd4, 0x75609e40e96e8c80,
    ],
    // i = 116: ln(1 + 116/128)
    [
        0xa527c2ed81f5d811, 0x3dfa3d3761b6316e, 0x6f7191d8af47e744, 0x5bf1a66c84ebc206,
        0x23bd3235db555408, 0x322aec8e445c1b43, 0xd83cab84a883d1a7, 0x5c9fdf23369cb411,
        0x1899e517aa76f580, 0xe3d6b5db4a98f47d, 0x77281ec098d9763a, 0x0c6478746361cdc0,
        0x2de04fdb6bb532fe, 0x56ed27e85f94fef6, 0x47c646fb2f448d13, 0x6dba9a874ae4ca08,
        0x42c50043018031c3, 0x93897d1fc9846d37, 0xfe69079bfff4a82c, 0x5927f1db7173d8ac,
        0x148c7b4ffa2454ff, 0x46ec37ae11b5c09b, 0xfddf3f7fabdaed78, 0xb29c2756399dcf3d,
        0x55362a56ea6e5b34, 0x199b9b6bb31bb612, 0xd2e949fb4e83bc17, 0x84a3557a71c93def,
        0x2e0ece13e365d3e5, 0x1624c779eea29b4a, 0x8d33cab0cb889d1b, 0x373e4acdef10e1d9,
        0x3872c2e06a109ebe, 0xb7f9d519e0b0db2d, 0xca3acb5e3a6779f8, 0xc242e4c7d05e6f51,
        0xb91998b15e4bdfe7, 0x554cf1379fe23a89, 0x1e0685e16671e69e, 0x64d8c55be03f42cf,
        0x0a15da7593033f0c, 0xec40202ee270c79f, 0x73e00924c780c795, 0xf7966d4a2ea4385b,
        0x3068a21e46d5a928, 0xa652939b6caa0c67, 0xdce69d09dfc81573, 0x4c35db85cb008ed8,
        0x55f4022dd5201f02, 0xac79484ec60915a2, 0x035fb1698242dc88, 0x34db62efd3c69e56,
        0xa1652b5a44780f24, 0x6c5a080915bde2dc, 0xda0458b041fe31ca, 0x146ab7454247b0b8,
        0x5af9e4302e61b2bc, 0x4fb6ef9a5476609f, 0xa9b7ea9c3a2097fe, 0xf9676f0ef0f348ba,
        0xd712cc72d7d2b62c, 0xda75f047be20c427, 0x76cfd83143041d1b, 0x034d04861d0ccf70,
        0x4e9b20928903b3e1, 0x9e5f673056d26eeb, 0x2199e66868333517, 0xf63dfa4aace02290,
        0xaf9a6b1d9330fd62, 0x1eb47c1d8c739c68, 0x96e02ebaebe448ed, 0xc87e3e819ab1da34,
        0xa1f0156354c31799, 0x28b85cd775c32b5e, 0xdc02d87ec26b2582, 0xdd3110d236313dc5,
        0x7429fd8542ec0522, 0xb35fac7ad0c30c1d, 0xd43e4ec7fd16f2c5, 0x8debfad7d731a47d,
        0x78c5c22005ed31dc, 0x217827ce071451f8, 0xed014bceefdf1e3b, 0x329cab5f249f087f,
        0xccc087929bbbcff4, 0x952d4b81976eff65, 0xe83e4a24589e0725, 0x1e1021f471232624,
        0x293dcb0dbc875cf0, 0x10e50d191ce40882, 0xbef442dcf1614830, 0x9b389f9ef0e3843f,
        0xdde670d31c1f0867, 0xbbec4cb6a9b97716, 0x3cb438fe2f9d7564, 0x0eba18b34fca7d19,
        0x7ea5d3efa8ccaf39, 0x5667098a6b2a2a9d, 0x53ac23b7045b1098, 0x7fd392962eca02c8,
        0xb72aa14527154265, 0x85a0e2b6088be92e, 0x4ac70ef1a3c7e8ad, 0x95509df5ca37074c,
        0xc71d41f8624a71e8, 0xd2f93c3a550bb2eb, 0x392a6c5c2686aa32, 0xa05b9bce855dedb9,
        0xecedef69e2420d9d, 0x6c3072415aa3d479, 0xa067171ddf145eb9, 0x771617d69940a4f1,
    ],
    // i = 117: ln(1 + 117/128)
    [
        0xa633cd7e6771cd8b, 0x4766e98c37ec33b6, 0x1b11377c71eab2c3, 0x1b7a54a6905668df,
        0x96bb552065a33b31, 0xa85f6dd142ec4a7e, 0xf84b0423b966f5f9, 0xefad36ce17bc15c2,
        0x017904e431729783, 0x0652d7d1457c2039, 0x623d1583a09aeca2, 0x6119d8aabde12d09,
        0xdfcfae4ec61cdbe7, 0x183a35c0caf06129, 0xfa3702826d629ddd, 0x46fac8a43a68b3d4,
        0x01267820a46db669, 0xf1fa7928fe8d9328, 0x3aaa10f191244c50, 0x4dc88ac5e727ec76,
        0x1dc5138f718d1073, 0xfb780432e470dcfb, 0x1b08a3f5271c5e8c, 0x092f08f67872c24d,
        0xdea2231663edc022, 0xe39d00f1600fe439, 0x8fdb3ef2aa74ec4f, 0xec328481593aa7df,
        0xa1734115b9ea1522, 0xf81af29c42a32e86, 0x18aaa4f2e69249e1, 0xb44ae05386038475,
        0x5a606adbad3d2fa7, 0xbac556fb85dd8c5a, 0x53687e3f560d13ce, 0xaa6e85d459ebca4e,
        0x1fb0b7311cea77a7, 0x233637315a6b9a77, 0x89feca5c90257c04, 0x1bf1730ebdb88fec,
        0x0520f11d46150e03, 0xe648ca2ffedf2fbc, 0x5b97d4b4323dedae, 0x831465a8ac00c6f8,
        0x9363bcdf0a29361f, 0x499e8fc35266336a, 0xb954f418ff89088e, 0x557cf9dcf60de040,
        0xc5e270bbb38d2f9a, 0x4878fe672dc2e036, 0xe1d99e4860c7f43a, 0xa4b49a426d276a11,
        0xcdcdf1569e32c926, 0x3f979d9225dd1c16, 0x6728c572a16e7740, 0xfadaf80e41dd1ac6,
        0x4f2f6405a5a28c6d, 0x0e77c316720c5565, 0x7934d7501e8ca48f, 0xc11d48dcec8ec4bb,
        0x096e2c49197bd7fa, 0x7e39290e359af8ab, 0x43b7ed8f3fb3f4f3, 0xf11a06eb97ed542d,
        0x8c8cc57b51cca42d, 0x04660727afe8914b, 0x08c2f59f901920eb, 0x74c71a0a8e2d5f18,
        0x0ba4da0832e88530, 0x20a4df4efdf1404e, 0x29478071d9e2dc0e, 0xd968ec51c30f55d0,
        0x4ac93856fbccb72c, 0x0ff841cecd5f0e26, 0xcecefc11b8063ee8, 0x936806583992bad7,
        0x0a2aa5f53b36f88d, 0x3e4356c6159fa8db, 0xcacdf5e3c18ed2dd, 0xb274d1b1441acb40,
        0xc8e9f6dd7d99c9bf, 0x54b79b8693b5e430, 0x5002ded2d710007d, 0xde8b9446b851903e,
        0x78e820d83f88f573, 0x9454b53e2dbca193, 0x14ce89f3e11cd0f1, 0xb6754a558441271c,
        0xe5c3f0c4f362c7b7, 0x20abbab5f5e9bd29, 0x264266d4c4357c4b, 0xc610470b6b919f92,
        0x681bcace1225963d, 0xcb45f74677e43c93, 0xaa9da077fc18a4ee, 0xc311cbbeecf62f5f,
        0xc267c5420972591d, 0x0b9aba6e4228bf54, 0x84a6ce068801e644, 0xa4c069ddf0eb458c,
        0x5f6d54caf481d51d, 0x1d53e3b3e0a8c9bc, 0x8d1a11c76c793c3f, 0xedf98ab7b7aff5aa,
        0xd3ea62d15c7ffe2e, 0x9de0f61131b326b3, 0x8c704264f0e409aa, 0x6a2f545f7ea0468d,
        0x1c61624c548d3f29, 0x0ddfdc8741377c47, 0x8e78b5b37c870746, 0x3e84cb63a7245f04,
    ],
    // i = 118: ln(1 + 118/128)
    [
        0xa73ec08dbadd84e5, 0x84c2b22c2aee1a18, 0xbd794408f774593d, 0xc9ea4c642eb5190b,
        0xaca74ac10464cdd9, 0xc1f3168cc1b47d5a, 0x3ab169cca0c9e024, 0x0b863a1be9bbbb42,
        0xe4660d2294a75294, 0x8c06207070ace1ec, 0x89da3711fdbb502b, 0x959752ef21e02e43,
        0x3c3a9dab9fe116e3, 0x18503aab7ec18258, 0xd745c723b316d962, 0x985a551685d2c96a,
        0x81f49f3075a9005d, 0x2f7dcf8715741491, 0x65a36af0f9e2798f, 0x023a566cb6d3b368,
        0x47999ad7498e21ef, 0xa8183e460c2eb725, 0x9805020c089db826, 0x714cafd2a099ee85,
        0x82d57c984480903e, 0x743b2d18cd02526c, 0x3b1e967a4e6edd85, 0x425631d05bb58ba4,
        0x91b706fee850452e, 0x13cfe0d0c63e463b, 0x0c1e9a6a8ee42481, 0xe368b04f2ba1d023,
        0xc1616aea94273444, 0xeaaf71cc32309eaa, 0xf7d83777c1756301, 0xb982aaf8a9f7b4fa,
        0xa26154aa1e738d68, 0xa36a58edaf954c23, 0x4451a6a528c2b0ee, 0x68d5db70fc9dbd20,
        0x57b061083537562e, 0x2a49a0b096d71409, 0xaad1eaaee624c7b9, 0x439645d3367d189d,
        0x2dc7419be4510a35, 0x848f576d3352b1a3, 0x61dee38a3a71d7ae, 0x67737f8593917fe2,
        0xff109786cd2249fb, 0x35a0256d49fb3401, 0x397e40f4c0213bfa, 0x07070022ca87c71f,
        0x65f5076f72e20750, 0xf38e4861dcb86ef0, 0x15de1af1ff440831, 0x0d4e40f5f13f5fd7,
        0x4d10187e56333a24, 0xc008bd6a56819823, 0x36629907ba55d9b5, 0x310ed5df98c31745,
        0x60e1d4ace9c5a57c, 0x18576814f4dc5a14, 0x19e4a970730eaf2b, 0x8a8dce2246413ccb,
        0x68eef79770a7d440, 0x892ac4c68ca12d45, 0xb0294b81fc2cf9b5, 0x31c25b6a53ef645b,
        0x960c26f2fb8c4011, 0x349903fed22096dd, 0x398642be421aac87, 0x8d0730c8f0e5565e,
        0xf15da843b4d283b5, 0x7dfd373d017ca4f1, 0xbb047791a84e7a73, 0xf7d6d737ce42d834,
        0x3cde950d732cdaa9, 0xab5665b2f2a851ce, 0x96be97c22ad2a414, 0x50ca51946cf739c2,
        0x381b395ba9589aee, 0x39514631c30e6e7b, 0x4f44230ea8757bff, 0xbdd5168d18f3a92a,
        0xcfcce51da46fd662, 0xc8ee364fe04e1f70, 0x5a888356a753591d, 0xe766eb350ece0dd3,
        0x91e86f0ee46f6b1c, 0x4012976d9c52d9df, 0x108b80c341a31888, 0xa306454e7204c7bd,
        0xa196538658f92c25, 0xa18346f2cb1d6356, 0xe20a9b4bf5963834, 0xccb41cf244d93fdc,
        0x457fabad346c78ae, 0x6d0f75d20388679c, 0x00f4b2c608a3e0c4, 0x7a608101a4bafe7a,
        0x0be352be083f42d4, 0x359f09d87985422f, 0xc99e2fc5ddbdf428, 0x128d3d8f9f4bade5,
        0x5c8aca1a530c2906, 0x16e8dff377867fb0, 0x8ca40c1391f6d31e, 0x9036add3e33265f7,
        0x29ee6e4147ae1a85, 0x33f6af5eafd8d04f, 0xcbadb70211bf7ac2, 0xb97dd16e2581b893,
    ],
    // i = 119: ln(1 + 119/128)
    [
        0xa8489e600b435a5e, 0x59d2d85ab61ed2f2, 0x39ed8a989cbb2de3, 0xab09e04277258b86,
        0xae3a7fb068cf4ff3, 0x34a81880bf4cceff, 0x0955efb8f48a4b7d, 0x44a034cf5463ae30,
        0x8327b33b2642349a, 0x39cb98a526cbfe2f, 0x05ce8b5dbdbddcdc, 0x6f6996d07175ccf9,
        0x884d1c537212cca6, 0xbdab98e98c3acc0d, 0x0c1006bd6d199439, 0x0f59cba45f439779,
        0xc2dd9c4c93a5608e, 0x69203ca27325ee63, 0x7643a74fd8a353a6, 0xc9fd76885796fbe4,
        0xd790953d2ea35694, 0x214362fd9487d777, 0x54253a5667bf62bd, 0x0acf2771e3387804,
        0x1ca8b1c16e1e9099, 0x7e484136819951ca, 0xad368b7a9e1a66b3, 0x2616691e9920a939,
        0x2ecc4fd3a09630d1, 0xcb8d36ab89627359, 0x0157e7a9227a2e85, 0x240f6c3be2029bb6,
        0x807ba606e097f2ae, 0xabff4982d1780bc3, 0xd49127ddcf3e021a, 0x8c87f7d8fe24ad51,
        0x66fcb5d977dcfca8, 0x66721b77d694b281, 0x8d47f914a4578ce3, 0x1e189b7aadebe310,
        0xa703e29501153950, 0x5abc158fc1690bf3, 0xed2d2cc3a131cb8d, 0x16aed64b10da1a84,
        0x03566803bbb7c656, 0x863e82af8176081e, 0x0d281b1c2511f4cb, 0xb4ef8145436a9c26,
        0xd862f247455309b8, 0x5b6958265e47f9b5, 0x4a95bdaa9a9c46fc, 0x125d9b35fc85198d,
        0x4de1f646a969d11d, 0xc968ec1e658cc1f3, 0xcf708765e6443d81, 0x572bfff7685f2d2e,
        0x2f7bb3c870b31bf1, 0x2869ba1d6a6988ea, 0xfc7cbfa4e548ee10, 0xf5ea9180782329a5,
        0x5194ab5c2e651335, 0x45e01a6ef13c108d, 0xa4d99c1f39825a89, 0xb8c2966a5757a5e4,
        0xa89667fe392db765, 0x631fc2439ad115e0, 0xe3fbca5082aed874, 0x71cd7bb8badf7b5c,
        0x2a38e06fbd978514, 0xa5d4d9d24cf4039c, 0xe2766862396aecbd, 0x6889ae66a1a744ef,
        0x3d188a468fbaa326, 0x6faba089bdbf74dc, 0xab39b708a761ff05, 0xb937247a1a6d44a6,
        0x1e9a72db483219b8, 0xb99af2fae8918955, 0xd68abf641e3f3725, 0xf31b93c87abbb316,
        0x7db94888c6f483c9, 0x1cdbc68deb9fc689, 0x16faa8979532e9a8, 0x56854621b1a7a175,
        0x15aed17a43d8de6e, 0x6f2aee58e1bdfe23, 0x77a845583d2ed643, 0x1648d88ffe830d09,
        0xc5e031b9ddb8efc5, 0xb583dcea0db25eaa, 0xbb04f540a7f1adc5, 0x29e0b4000ed6cbd5,
        0x908c263954e6fb76, 0xc8ba7f81e6e81dc3, 0x9fd8b9893b605efb, 0x958f94c4f66470dd,
        0x99cd57ec3bc0e737, 0x317b5844f6001e10, 0x07bff9c1d8f7849a, 0x7eafd9e50f503ed9,
        0xd1c3c25e91c2f619, 0x64648ebc1785a445, 0x02807009ce0dcb45, 0x760aaf0c8dcad2a6,
        0x811baa263a2bf9e4, 0x5dd6fa073671a13f, 0xc8851a61b0b616d9, 0xc38e3919df00113c,
        0xcad6bfdf64b9c5fe, 0x6bb228a6ebee54ee, 0x1e3099f9f8f905d4, 0x4c50f538a8b6390a,
    ],
    // i = 120: ln(1 + 120/128)
    [
        0xa9516932de2d5773, 0xbe4578ad97aea7be, 0xd0920f6a4c39b31e, 0xa388b63329d4eb53,
        0xca138ee03e381ca3, 0x031e3061eceb1f55, 0xbbe00b2bd6775e9f, 0x8a7e5bd3c1df5ebf,
        0xe15b4f4352e00e87, 0x027aab159757fd4e, 0xef59d2cc6295523f, 0x1688b24fe5087839,
        0xa98889ef48ea60b9, 0xa85772613638b665, 0x96870e23f5705199, 0x1b7f6cb75da25d23,
        0x45fc58088554ce25, 0x25905df39dfb8a63, 0xa898ed7a77ba8c2c, 0x5ad1d164e390d654,
        0xfaa91fbb27b07cfc, 0xe8160d8249e21124, 0xe542b3364fbe79b5, 0x00a48ef62e918be6,
        0xbcf86386d97d4406, 0xe9e0738e32912d69, 0xb4e2b8d8c1ade436, 0xc5fb10c74963a9de,
        0x4295b4ae6cc847ac, 0xcce8877cbadcfd7a, 0x7fac0d000993defb, 0xeb91267e44c57247,
        0x4361ac7ed0312505, 0x7c68fa374a76e622, 0x7fa8fab2391807b6, 0x98fe10d8a7cd3b3e,
        0x1e8137b71e715463, 0x2e3fd36db28a390d, 0x520afb7cb898270d, 0x74ed572cb552b6d3,
        0x02982ed56c818496, 0x9b4edbf99bb8d65c, 0xa786818b594f47bf, 0x863d86b947e34849,
        0xc3980058d8607716, 0xb5f485c513935138, 0xb018bbe6a0087f7b, 0x54d00b90b52125ce,
        0x61aa7e12255d053d, 0xae68605b538089ec, 0x82824bb83745eee8, 0x0b5a96412cc49ff4,
        0x9c1005acd4bb78e9, 0x833f817b1c5821b7, 0x45186f3a80cc1187, 0x1e2852d669aa0160,
        0xa97a9fa0a7b18346, 0x19387591430b6d34, 0x9cb4565103d7e83f, 0xef735a803f60c26d,
        0x9eb6cb6a2e61d366, 0xa5605e733b922041, 0xd0f0088ce7cf0fa3, 0xf23ffe3fef23a6ae,
        0x1b9f80441067c72d, 0xd1f98ebdf3fd7741, 0x57bbebc3333f3feb, 0x17276cfad7d6841b,
        0x87f25feb54100294, 0xe28f794e6cae6ac4, 0x6c68f3b19ee714a7, 0x3ce7c13580303242,
        0x12afab87091cc582, 0x3b0961480189847f, 0xca9ea76f62a39aff, 0x807ca735694b1205,
        0x86cb9fef9fd7385d, 0x13c7434878dbdb49, 0x93f2ae919f903f8a, 0xe70eb29abf06420c,
        0xeac949181fc2e7ef, 0x7c27e703642df141, 0x92b43c044e73192d, 0xbdf9b9877bdcf498,
        0xe186b28fb244610d, 0x9f9a22f113148c02, 0x29e628841babe486, 0x6f93dcb27d12f9fa,
        0xb1aea34cdffc85bf, 0x638b6f7954071e93, 0x73366c92241e35fa, 0x4f80b9848cfc70fc,
        0x6563c6e3fb61ed0f, 0x54932f9ea2457910, 0x714a8a382886fc76, 0x09fcd82d2e8ff941,
        0xbb07b00b800fe751, 0xc9bd866cb7764d48, 0x0b7aed4d80a7deb7, 0xde058de694f27596,
        0x520090974f10e426, 0x3c345a090b77f1c0, 0xfcb01bb63414bf65, 0x6ba7051c539eb21d,
        0x5fcedae21942e528, 0xe0c7228bdbb61a8d, 0x9c98bb5003912b43, 0x47ffc0983744db98,
        0xd2dd34e85bd16a87, 0xec71de8fe3f7f928, 0x1dd601a58afd1a7e, 0xb7526e7e36eaa2f9,
    ],
    // i = 121: ln(1 + 121/128)
    [
        0xaa59233ccca4bd48, 0xaa145a1ec1796894, 0x5d56af714ebab5f9, 0x916e796b3fd0d75b,
        0xd82bb3bae041db14, 0xcc6b990874fac90f, 0x37b0af6eba72c6bb, 0x07bdebd9b44ebf27,
        0x1e1c5b476aca8757, 0xc590776de6b27dca, 0x080d3962c1f590fc, 0x85270b4633c81884,
        0x97148a5366a3f3c9, 0x05cfc4a584b1b963, 0x3651e45ade12bea1, 0xc00e82932a8e3901,
        0x2f2aa43629a70402, 0x1d59d4cc10a6e32f, 0x14f809c7dd7fa70f, 0xf3b493e876f5e30d,
        0x19404034c08d8dc3, 0x459ab92628288e60, 0xfe582c759166d5f0, 0x68ccb94e467871e6,
        0xeef5173717f6624e, 0x2caa8a68171c9969, 0x551a1410ff9f3216, 0x336c35dddcb553ef,
        0x3f9183f69ec8cfd6, 0x7e85a7c465d7e938, 0xe49e43c120f0b538, 0xcb838d3812a1c15f,
        0xfd3054453466eea2, 0x364ef608b3570379, 0x94513d7d25ebf04b, 0xfa90ac659be591a9,
        0x328276b2d483b0b4, 0xbb9fb39396eb3e8f, 0x9658ba979fff325b, 0xca3c38be8d7502a4,
        0xac983b12af46fe93, 0x58d9192c15d94d2e, 0x7af987624d8c88d6, 0x34602300a6e6080d,
        0x74a17609a1b2f6b0, 0x682843ef722b9769, 0x4fad67c4c66e74fe, 0x6e2747d79f6ba7e1,
        0xd6e85271c42948a1, 0x016e3cd44a4cb90a, 0x01dbb051c5055042, 0x746a160557b568f7,
        0xe78c6fcf34a9d869, 0x3ca1e6cef0394431, 0x9dd29cae5204d35b, 0x8fcb765634ef09c0,
        0x73a3c4ad10982de4, 0x25823cc9a09bb759, 0x7347db6d8c342d21, 0x13dd1712aba35a59,
        0x69cdd5b819a07858, 0xbc8cc8e7d88bfc22, 0x3dfc8c081a9084a9, 0x110abcaa2ea9861b,
        0xb7bbc099f2541431, 0xb108f19f4a275399, 0xea15a4d0c2a5d7fc, 0xf7aa5164e49a9230,
        0xdbaeb31cb6549dcc, 0xb3ce5ae1cf43fe66, 0x089e3631954b7012, 0x37f818975d2b6b24,
        0xee438f9bf6425f20, 0x0a1b982b7770bce9, 0x6bf1ed8b5695aa9b, 0xc6fe3cbb3d86a2fc,
        0x4b320352877b83cb, 0x0f8a9f25aac3469d, 0x42f641d82eef58a8, 0x4ffc7d95e2bc23b5,
        0x96b1e15a5f5a829d, 0xf97915c424eafed7, 0x1cf8b6d853931763, 0x6941e7b4e8d774c0,
        0x8f01bb32297da69e, 0x9a3fb2bae23c7b5c, 0xb81f3a7d05fed656, 0xf655b191cd57adea,
        0x5fedb8aa6d59eaa3, 0x60210cd2bc157cc9, 0x80fea3ecb5bdfd2f, 0xd9c6099d712c630a,
        0x62955b5bfa38ffa0, 0x709a0f927938f32f, 0x16c81edaf5ff88a9, 0xa233f4b18f43f3e7,
        0x99ddcd0c99204e07, 0x46a6ffc58c2d360f, 0x0df0d5dba6e1b2fb, 0x295b45096d2882fb,
        0x91840c60549f3bf3, 0x057bbed7ba81bb23, 0xe885b1e8bedf95af, 0x6e39393a2ea31471,
        0x2020610419455673, 0x0b320a8afee2bcc9, 0x6dd318a690b76cd4, 0x27df8dacbc8d9d5a,
        0x46c3a5ed0173dc22, 0x75b6b1eca2386592, 0xd94ab50877ed2141, 0x9cc867d9ef6a4e08,
    ],
    // i = 122: ln(1 + 122/128)
    [
        0xab5fcead9f9cca08, 0xe310b9b1fe59cdc1, 0x5631bf5c35094514, 0x52d39be02e3f55d3,
        0xe4b7faf87697b2fe, 0x9309a22c71a9ad49, 0xbdf5913f419576de, 0x68a891be860598be,
        0x6ece8cd749f49e7f, 0x9b1526918cc45b5a, 0xaf9236624583f1a7, 0x7fa81f25b01dab26,
        0x7399a3071ff43720, 0x0a09b1f83bf58f2c, 0xb40b965d5efe97fd, 0xa3d56cc15b086e20,
        0x53bfa2de48875713, 0xf08db96feac52a79, 0x54e5fcf13d7d94fc, 0xdebea82d69f594c3,
        0xdf192a6cb11ac4e7, 0x2e2939a175de7f7d, 0x42cd2f94d5a6e8d9, 0x8d7856c59410ad24,
        0x97435f0496236437, 0xe3e8edff2d7c4af0, 0xa447f9457fb0f80c, 0x80eea30da8197136,
        0x59a2bb3c6e0557ff, 0x8ac0f0552f06521a, 0xdd04c1b82cf96c85, 0x3e6cef45c131e8cd,
        0x856dcf7640860761, 0x8fc22c59c27069ff, 0x6e2624a620926351, 0x7bcfbccd6b3a51e7,
        0x1d170570febfcb7c, 0x4fc1056424d46792, 0xdbd120cd4eeafecb, 0x1a814ff545cc1cde,
        0x313e4b8dc0b048ca, 0x297e9a2e6b1c5c13, 0x6a6ebeff67913681, 0x0a1069747566c137,
        0x2b920260fa040b06, 0x566aad068a14ae7b, 0x21480eff7debeb5d, 0x6eac21125dab53b8,
        0x1023d62c5ef4311a, 0x0ae83e0fa4dbc9ea, 0xcd6a64b61182d9ee, 0x2de04f5bd7e2b243,
        0x38ff24fd68a19ea5, 0x0ffe27f62a07bb22, 0x8ac4fcbbfd6407a2, 0xf4001f51dfa8696e,
        0x960b2596f3353117, 0xfe309605063bccc7, 0x6a223ebde2a580d8, 0x2c1fbd72ffb8327e,
        0x5cece45028b59a61, 0x5d45a12aed8a5e62, 0x2d007cb700d37e0f, 0xda7a28d2ae7d430f,
        0x13bd90f61b7f13cf, 0xf9234828b997f84f, 0xce6e6ca39f502b5c, 0xb0cf023ed9b253a1,
        0xd8d5dc6be66fb823, 0x9de7bb2b0665da22, 0xb8550e01960df501, 0x541e6f6d5cc8b85d,
        0x2895336b86fe438e, 0xa9affb14f1db4a6e, 0x7d5261d9b586f435, 0x2e11be683adc9057,
        0x393ac12c372dff48, 0xba3e9fdf676afa94, 0x321d36691a7ae5b9, 0x3e1794bb1e8a6537,
        0x5b50f4f8ecd8221e, 0x7bcdfd8cb7226dda, 0x4173c67edd85277c, 0xb7385d53f61eda9f,
        0x4bffdaaecd0d49cf, 0x8939918a919d118d, 0x3f8a39dd8ec8366b, 0x97ddaafc33abf5cc,
        0x83f59d3adb692e5d, 0x5819e1b6a5b95ff7, 0x76fe764e35a361b2, 0x919e2994e3253fb7,
        0x0da8ac7bd7c3536f, 0xdbf25de812757abc, 0xf094c99fbc89dbda, 0xa523b10b398bb53d,
        0x3a124490e7d30812, 0x2524a1986da3cf99, 0xf01a323471bf4207, 0x2d9eeb3d6771f7ae,
        0xfe663434ee8bb0ae, 0xc50fa9ef6dfb3887, 0xd3df2069e7edf4ec, 0x92f1dd1b8491a1f5,
        0x43355d1842add7ef, 0xfbf6dc66bf2d00a2, 0x8b3051ca9f632233, 0x9ea6822f9ff9b245,
        0xe530eb642e6b1766, 0x1f756672d0f6a302, 0x53ff22e21834397a, 0xea93983f0eb43e86,
    ],
    // i = 123: ln(1 + 123/128)
    [
        0xac656dae6bcc4984, 0x9792ec984585513c, 0x601ab2b5c446c7b7, 0xcefc72f56848f351,
        0xcbf0d84890272b07, 0xdbe424b03754421a, 0x9f7e13a3a2cbcafc, 0x800743a312c4fabd,
        0x3a3910a0bbf55c8a, 0x4a3baed5df4c8b91, 0xf2d129e68c351aaa, 0x90d1157916732b1a,
        0xa1750e171aa82d6c, 0x5f633ddd66011d0d, 0x2b3c9dc7cd99ad00, 0xec522034203cd777,
        0x5fa5d0bc51158dec, 0x11f97c65edec0719, 0x7f10492456355151, 0xc1d82af411e18ae8,
        0x28e3e3a3468d2bb9, 0x8ced8b2693bef87a, 0x1c9f5dffb7b29ab0, 0x4fdfeaca812d1ca4,
        0x30ba166c5bbaeb32, 0x09529f73469fd2af, 0x84bf7b9315025b7b, 0xf6b77c50acb85889,
        0x81fccee872c67869, 0xcf2ae72a91d927f3, 0xb240146fdb768993, 0xe73da64e9435e32d,
        0x1071a5889f70e3a8, 0xa25570682f662499, 0x11c93582f8b63e7f, 0xd78ea2a68e873348,
        0x109b9260d6e1bc9f, 0x37f2db00f8cae65d, 0x44681643752e0777, 0x45688527d07b90fc,
        0x686e5aa9d7151436, 0x6bab79eb8132d0ef, 0xead3a61ee79eb5dc, 0x362ce920f71b1972,
        0xc04560dc07746054, 0xc5bf4603fbc2f071, 0x196fabe38e8db087, 0xee9f304736860480,
        0x69611a0129c9961a, 0xd3de29270155f249, 0x1f7f31b1f8c1e15b, 0x7bb36e2274788d7e,
        0x2df038da7ff9e4ec, 0x8e7b9fba7a9d5305, 0x277c17785a7ffd07, 0xa01bc152b995c149,
        0x05ccca1859474580, 0x81f80778bafd4743, 0x5b7272a179cdffc0, 0x293a0e9bab3d8e8e,
        0x5e68554fe72c9a82, 0x2fa30c9d3de4366d, 0x33d481b0cacba170, 0x49ee160f231dab29,
        0x6ef0595f66ad1e52, 0x5a0d46b1a0bccf20, 0xf43c39404b92e8ee, 0x18c02c68c0fc9e4d,
        0x73fd7e6f088e68db, 0xa8771d01aef27cae, 0x8ebdca3ecf8e754b, 0x5d7211328b86eada,
        0x23616b9b6c4ae67d, 0x06632fce99073798, 0x5d1eb29bb18fbbce, 0xa13c717571d1b49c,
        0xbfc08a38558bd62e, 0xc7eb2dfbbeebd3b1, 0x428a364cf08ec994, 0x074d675078584f20,
        0x1c183a0132368a9c, 0xf30b06b7f50bad3c, 0xd1900b691d29ca2f, 0x650c63391844fe06,
        0x36fa104b99d2d29e, 0x7c69e8f7c8d35af6, 0x7236bf0ce532c08c, 0xea01d1e07e28c706,
        0x97f25cbf9ac5ed54, 0x7c5af524475bb054, 0x5492c0932c600027, 0xf9d0c0979d3473b3,
        0x5679f18fd0e69ffe, 0x3c88cbceba4bff86, 0xb021e79a83e1a135, 0xcd707e1f09e4bcc9,
        0xfea0a6dd1b9240a7, 0xc4923b348e61d93f, 0xf8c116b4ba7afac0, 0x0171bb84e4d2d0f6,
        0x1bbdbddf2c1fcfaf, 0x2f5008ead87be807, 0x65a27c1abb8db5f0, 0x4b38960127b306cc,
        0x4712adfcbaec7d9e, 0x0aa65b0253d03db6, 0x57a7f0f32ec6b38b, 0xef6b26a92b835cb4,
        0x30416060b48f15bf, 0x4f0d546b5d5dc201, 0x078a5dcb26846bd4, 0x1c33e0d9dbd403c1,
    ],
    // i = 124: ln(1 + 124/128)
    [
        0xad6a0261acf967d9, 0x4d552f811cd40845, 0x839e04578161ccf7, 0x7753b3c85b324a78,
        0x0c7634647b2300e7, 0x869cbad304f30d08, 0xfaeab5b9d6b30d46, 0x77d0211814f3b1d7,
        0xdf6cf0db1e3ee20a, 0x0b67217408b45e3c, 0x567cafe4fab389ef, 0xbb5cb1daace1d88b,
        0x897a6a4872c94eb9, 0x43d087a5959e83df, 0xca82753063d5d87c, 0xcf9b5c805f9b9466,
        0x315885dffe40c52f, 0xb8c851669d970103, 0x39b331192ec17c58, 0x4db00763e6cfd8b8,
        0x5b8b86dfe74aff7b, 0xda919a24d5e9d3a3, 0x6a119e93b0f6d2db, 0xed76404cb4176022,
        0x1585033c7487ebb0, 0xc1c3a260555ae671, 0x4bb12429bfd0b5df, 0x5cc63fdcffa47cb0,
        0x00db20eb723551bd, 0x9478f9ccf6d58700, 0xf9ba8f0e4ce7f96f, 0x15b7cab2859bd7de,
        0x01730602485be88b, 0xf3a852c5a162f3d0, 0xe5daeeed84816543, 0x258af8cdabc5ced5,
        0xdacfd3ddddd41982, 0xf56376382f9e49b4, 0xc6508ec176e1e65a, 0xd0f2df53f14cd468,
        0x77793fdfdb418488, 0xaaaeb90ea0e0a7b7, 0xbf28270ee7b1b333, 0x1f86b8d219267d02,
        0x171d1e06461d7a9e, 0x559cf693e3cad1ac, 0x3ba0f0e2825f3677, 0x076dcd45960f5d47,
        0xba3c30cbf95b8212, 0x038594671c71268a, 0x7fc537ddba6fd008, 0x2518b9ee496e87e1,
        0xbd4229c70bbce0b8, 0x9f8542c796971363, 0x0d09bbe68ce5b245, 0xcb821d1f4c07eb13,
        0xab3b272d2716985f, 0x7f61f9c3547dd5dc, 0xa160a9e8684c9812, 0x10ea88dcdd206e6d,
        0x8d61146d3953a3a7, 0xb3987dc0ff26c676, 0xb5bf400f24fd156f, 0x6e4d892f2e62b328,
        0x512bbe25d2725e8f, 0x51edd5b87c63344b, 0x06be990dbe87fdda, 0x5f7384233831eb50,
        0xa544061906f64b38, 0xaf2fe70da184c327, 0xf08e872a75530e68, 0x9d1f3b57153cb58d,
        0x7266eb45dc6f77b7, 0x68f796aecdf2d0a6, 0xf84a92e53c6d52c4, 0x9775319d82487038,
        0x9dee603abc7a2bea, 0x5dce6c253a18ee1e, 0x53682a6d68664105, 0x7d9a96660009ab08,
        0x5cca192e8da54d35, 0x1d59abd10b0cc91b, 0x0ef1760d3fba4f1c, 0xeb640f4bd044f12d,
        0x2e56574169cc9907, 0x30797e181c0cf1d7, 0x46d2f964c02241d1, 0x1727c5d9aba57445,
        0x1e79679e475f81f2, 0xe22e1f5306dbd68d, 0x8b66e5e1e59551ca, 0x01e56a9e5f6868bb,
        0xad2c3373409b1cff, 0x92061a9b1f3af957, 0x3db46e0abaf619ca, 0xc08401684ceaa74c,
        0xa41d9997ba676d13, 0x34d81fdac5caf743, 0x785d2f28dd9f1c96, 0xedbb8cdb21dc260a,
        0x7cf49907aa70ee12, 0xef9375e52b17913b, 0xc6e73c78cbc23147, 0xb123096137ac4fec,
        0xa423f01f1091cf85, 0x7cf14e3b71f85d39, 0xdbbe8b13ba56a707, 0x1f3ebb957c3b5330,
        0xd7406439596657d0, 0x9e5f1e7d32132147, 0xb2adb1fa25feb420, 0x422475534823f11d,
    ],
    // i = 125: ln(1 + 125/128)
    [
        0xae6d8ee360bb2467, 0xb71e2eb8418af602, 0x50ae328eb0db90f8, 0x72812da9ccb86b9a,
        0xff6f3b30066ebca8, 0x752dd2fa11141c98, 0xf5270b8d0b291788, 0xa0ec4685409651e0,
        0x8b2ba4764e75127c, 0xa6919ee89a413579, 0x971008386dc576a4, 0x29a722632be547d7,
        0x86d420672dfc0acc, 0xd25dc96748eeab0e, 0x2df28b485e19053b, 0x3ca9f158ea780082,
        0x1c613a074b19985b, 0x609e8308528cb11c, 0x89909edda9a12f8f, 0x124e4c2ee51bfc74,
        0xcbedd94b8d40c4b4, 0xc76d8b61bcea8543, 0x66ba484bf2e8a428, 0xbf471cabd1535fd1,
        0xb42528860208fb08, 0xc57aaee193306cbe, 0xf4b4949ca7f571c7, 0x5e47935302d9ae5e,
        0x84e1110a74d72cae, 0xddafd06aee11b157, 0xf68aa9a316213a13, 0x73f409e28c74fc04,
        0x4464f22692e89aee, 0x2b47e0d586c2d957, 0xf4d0854c614c195d, 0x57805671475f45a8,
        0x8c16d35f8b39d8ac, 0xb0e39c10a16632f5, 0xd961b1bb742b5b35, 0xaf75b790cb14f7cd,
        0x9363734a3e3e472b, 0xca966b010539e473, 0x6bf3911f42101de3, 0x146d23b321436d3f,
        0x4e345d739f08e0f3, 0x0b47ca50ab6103d2, 0x2dc54bf22bcec7fb, 0xac479f3289b7da9b,
        0xf2142b09e3e994a4, 0x6c57c2fc3b7f3386, 0x51f152aff01d113c, 0x05e61eb6684eb0a6,
        0xd100e5b338438f1f, 0x4279dc8af1a82d70, 0xbafedf06e6a58604, 0x7b19d0daca1bf143,
        0xcb0eecd736ae1d38, 0x6926b976c857527a, 0xe5700e0c0f37f5dc, 0x4f3db0f5f3a256c5,
        0x10768b0f168dfab9, 0x5608d850a37b2bbd, 0xa60707e215092694, 0xf84ec78e12b14862,
        0xdbfd174af4a7064c, 0xe5c0a1bfdb8f809d, 0x1a26610d3d94bd54, 0x8eb0cfb4f81b95d1,
        0x4736180edc2ae244, 0xfceeb1273b3c9a01, 0x92d10a4b0ecd5409, 0xc34762b91aa1b944,
        0x89e1ec4796b52347, 0x3cab57b9fb642f7a, 0x9c2292eeb5733e99, 0x938e40fdd4665cea,
        0x7266c7fbde9d5a49, 0x421c7edaa8c33d76, 0x2d3cdb2afc63e0a3, 0x6f9de1392a5fcad2,
        0x2cabde3ddfb0ccd0, 0x258029f1f0eb8700, 0x60208c52a80ac33d, 0xf9d91f53bd5a2599,
        0x637e59021fb6d3cd, 0x078ff6d4f77ab995, 0xa02234a031bff8a3, 0x8494ba5124d0cbeb,
        0x07cb333242e368c0, 0x709ab618a12391fe, 0xef0c451b3462d667, 0x3177760a7c3bf91d,
        0x1d926cdcd8ad6aea, 0x99716a05e6e952db, 0x2edfd9b4df5b5991, 0x3782c2ec1c4ed005,
        0xb1ee236f64375c96, 0x544c24fa7f830b4a, 0x9634aa6bb9b215ef, 0x28161ff0ebafb136,
        0x6f27a71cc2f446b2, 0x6cd74566fea33f71, 0xeed44b7d82549900, 0xccb437cd34e1d383,
        0x3c06b4986b667ebf, 0x6974bd5adbeaab63, 0x12f8fe2bd85734b6, 0xba23d90fb30ccffc,
        0x465d6034b362f3a5, 0x4b8f3cf454358212, 0x7d077294f3e29822, 0x67c38a17200dfdbe,
    ],
    // i = 126: ln(1 + 126/128)
    [
        0xaf70154920b3ab86, 0xb04afe92103ef4c6, 0x29f04ae4e7a29309, 0xe668810251d2f00f,
        0x5f3cbd97c523dc46, 0x46a4f0822036cccd, 0x486c32a24e559a75, 0x6502ee166e5357ef,
        0xd9a904d88fed841a, 0x1e66127fa237e846, 0xb40690573a6329c4, 0x4bee7ada40092375,
        0xa1c4dc19b8be02ad, 0x13b6c145c9b07e81, 0xb54538ab6b600dd5, 0x37a8a7cc4626704d,
        0xc3bceced7906fbba, 0x8f570c7976946885, 0x1d49866ee8557598, 0x507f97356267946d,
        0x2b2537cd0f918d30, 0xac8a189ad7ef5665, 0xa3546eb01d377230, 0xfed76a08446625c5,
        0x711624189f2fa651, 0x0435c6f255c01f12, 0x6e5e0d5fd7fbb710, 0x2e9e60e8ec0f0aaa,
        0xecefbe3e0820a77f, 0xf6a42a7052713b8a, 0xc1011bbf00ff4495, 0xd8f76b01686a8326,
        0x4feeb61795bbbf36, 0x22168d49638cb2cf, 0xf95f397ea837ffaf, 0xfd6de6ead404ce13,
        0xebf69ad14b7af26d, 0xdc6b3a28aa265e38, 0x5562812878131fe1, 0x5f5e68fcaddbf2bf,
        0x9dfed7a298fe6f7d, 0x2628b1f5f92097da, 0x35705e673d7378a9, 0xdcc2e469a3bf3819,
        0xaa00ddbdf97457ed, 0x1095b1ed4c8b97dc, 0xfd24a2395fecc7c7, 0x59cbf2e9905dd9cd,
        0x08759127ba914357, 0xeb673ae74e7e0938, 0x59272317e952e600, 0xd54b793199a5e13c,
        0x659c0e61388d5d62, 0xd0743b5f1e7da214, 0xfa89529ac9b7c03a, 0xda40af96627149a0,
        0xbc0da179dafdfdca, 0x80cbd6d72962f5d0, 0xb88d2b353ccac613, 0x295667a513ec2919,
        0x88b76b55df501ef7, 0x90d23e9de34d7813, 0xd5f9161d164174db, 0x200963e89491aa71,
        0x34c0fb6f8804267d, 0x8b158d8700343af0, 0x6d0303ac918cd173, 0x4ed5d1c6a03d88f7,
        0x914887bbe3568396, 0x41db88a9226b7897, 0xe78330d14b2ebed7, 0x9c51f7c35b8825e9,
        0xe6f1ba75fd8d37f9, 0x3a7101833e34cee5, 0x8d3cd10344c46f75, 0x57478e5cc5b8b084,
        0x7dc14afda2c832f7, 0x3b68748449799afd, 0x6c376bb2c7891fbf, 0x7d53500bec2173fd,
        0x98f0e0ab7ea7827c, 0xa529fe467ef2bd07, 0x5bac783963831897, 0x30c0644155336ccf,
        0x52f1cfb2680c6031, 0xb8ff3ff961dd28c3, 0x0d3b093b8e69cc80, 0x45d1c14987e827ad,
        0xcaba4aac15a1b7a0, 0x23a1e03e2af4ce36, 0x84078d5155c54c1c, 0x972df2d423e00ada,
        0x895bc400a6e8cc1a, 0x93bf603874aac4a8, 0x15369c919ca1463f, 0x37ab51309808bf69,
        0x6e79b2c4a89f691e, 0x9bed7d012684bc2f, 0xc8f5b540b9a7e4fe, 0x3bc83f09d33445eb,
        0x52406b83fd459b69, 0x977b432639de043a, 0xb66447275d013096, 0x9fdfd0262987d848,
        0x9b32016a9a6d6153, 0x20197befa2449e22, 0xfcc51aca8322746a, 0x200d547bae3e7d26,
        0x30b7843ba318aa19, 0x4d5cdb122de97a9f, 0x62060de7e157b3a8, 0xbf4befb46dd197eb,
    ],
    // i = 127: ln(1 + 127/128)
    [
        0xb07197a23c46c653, 0xe44ad05a76554335, 0x17ce375accaabf0a, 0x96012a8ec1549af0,
        0xc5e4901afa3e3768, 0xbc66fd200ee934fc, 0xf91ab8af05a0089b, 0xbbdc25e64df8fd3f,
        0xd62748711eb22437, 0x970ff9a01dc63998, 0xc1e180b39249b956, 0xabb303b5122f797e,
        0xbe90cfbe29e967a6, 0x84871cbb43b74f30, 0xdafa93d1579c35bf, 0x73e873d3f0cb886a,
        0xcd8612aadbcca1af, 0xe05af497ea20dec3, 0x44f4ecdf3d4e22b5, 0xe624ba807470db02,
        0x527e5897f01522ec, 0xa6f16e279a766337, 0xeecaba01ba948155, 0x86d210c31c49b157,
        0xb8cc1920a9743e80, 0x8f2eee0cf62f4c2c, 0xa40cf5c64a633d7b, 0x0b5aa53f20f3394a,
        0x4a8e6b18c96e86ac, 0x6ebc08ddc3d2bdc8, 0xee16ba029c4b40fc, 0x9e49ff1a8cc5e2fb,
        0x8952554b10946724, 0xe2b43abc790bf5a7, 0x67bac32e56fb028f, 0x4f69628aaf3bbc84,
        0x428dd4895099b597, 0x195532612e48e943, 0xe9aedbb7eb6c9b38, 0xcc45799cd3a456f6,
        0x9cc43508785304b5, 0x93194f239c4d1c1c, 0x657c1d581f582023, 0xc80f06529d343b2f,
        0xc2f0c38f5a45994f, 0xa641e63548af1208, 0x572fd492715f310a, 0xf0608b848539afad,
        0xa863cdc8e594f8e4, 0x6d56c2e9961cd8c7, 0x2300b4412d6467b7, 0x6fed1ce3da0511c9,
        0x418a0e0ce2b91ac0, 0x860c846f6e15ea64, 0x3a60147aef50a2a2, 0x11955b715529b940,
        0x2db5333f93986887, 0x582571251caacd2e, 0x60a1f049602cbd4d, 0x761b873db9fd28ef,
        0xd43589f8cd13e63c, 0x0674dc2ebebe45f2, 0xae0d0fe4c9c2964c, 0x0c99275e2a3901d3,
        0x8697d6fb1237af86, 0x26ad399a88902c7b, 0x81eaccbdde79a175, 0xf8905e3544ca9d37,
        0x2ffc4d660b8aeb5e, 0xc9a744bf168a1e72, 0xaf65871197cedbe1, 0x9bf2a1701756c859,
        0xf2929126125e52d8, 0x00765aed61dce48e, 0x8ffcd3f15a747e3b, 0xa821871c28ca6849,
        0x6851936881bf3036, 0x99cee28d29894738, 0x233cdd7ee0f5daa5, 0xa2ae7e7ae8711675,
        0xa685629861d23909, 0xdf93e5039c9151f3, 0x048247e52bf4e68f, 0x6e374f9e2152f35e,
        0x6055559f468cbac4, 0x49d992a1579007b6, 0xea121749a8cba7c7, 0x3c373071ced11c3e,
        0x70916e6f8df82c6f, 0xfaacadad2d395cb4, 0xa309c2623cf7294e, 0x25381fab65ccec3c,
        0xa9c12919f518b407, 0x40d521057271eb71, 0x6c3e776adf4a09ef, 0x5f73c244d3b49313,
        0x434db810d9f37263, 0xe0f5612c86a58f9f, 0x0738347e77d21eb6, 0x4daaab8fe522a230,
        0xd672c81b34eb92e1, 0x09319fcb3a0ad9c6, 0xa4257d15beab560d, 0x581fdaa4fd7c24af,
        0x6394726ba87c1987, 0x7ae1284dc9905cb1, 0x93139869c8f67e24, 0xe80e1a879fb23e34,
        0x1fb33073c2dd7475, 0xa97b2fbf3a8aa850, 0x6c70a6c797135e69, 0xee9620bec8df02dd,
    ],
    // i = 128: ln(1 + 128/128)
    [
        0xb17217f7d1cf79ab, 0xc9e3b39803f2f6af, 0x40f343267298b62d, 0x8a0d175b8baafa2b,
        0xe7b876206debac98, 0x559552fb4afa1b10, 0xed2eae35c1382144, 0x27573b291169b825,
        0x3e96ca16224ae8c5, 0x1acbda11317c387e, 0xb9ea9bc3b136603b, 0x256fa0ec7657f74b,
        0x72ce87b19d6548ca, 0xf5dfa6bd38303248, 0x655fa1872f20e3a2, 0xda2d97c50f3fd5c6,
        0x07f4ca11fb5bfb90, 0x610d30f88fe551a2, 0xee569d6dfc1efa15, 0x7d2e23de1400b396,
        0x17460775db8990e5, 0xc943e732b479cd33, 0xcccc4e659393514c, 0x4c1a1e0bd1d6095d,
        0x25669b333564a337, 0x6a9c7f8a5e148e82, 0x074db6015cfe7aa3, 0x0c480a5417350d2c,
        0x955d5179b1e17b9d, 0xae313cdb6c606cb1, 0x078f735d1b2db31b, 0x5f50b5185064c18b,
        0x4d162db3b365853d, 0x7598a1951ae273ee, 0x5570b6c68f969834, 0x96d4e6d330af889b,
        0x44a02554731cdc8e, 0xa17293d1228a4ef9, 0x8d6f5177fbcf0755, 0x268a5c1f9538b982,
        0x61affd446b1ca3cf, 0x5e9222b88c66d3c5, 0x422183edc9942109, 0x0bbb16faf3d949f2,
        0x36e02b20cee886b9, 0x05c128d53d0bd2f9, 0x621363196af50302, 0x0060e49908391a0c,
        0x57339ba2beba7d05, 0x2ac5b61cc4e9207c, 0xef2f0ce2d7373958, 0xd7622658901e646a,
        0x95184460dc4e7487, 0x156e0c292413d5e3, 0x61c1696dd24aaebd, 0x473826fda0c238b9,
        0x0ab111bbbd67c724, 0x972cd18bfbbd9d42, 0x6c472096e76115c0, 0x5f6f7cebac9f45ae,
        0xcecb72f19c38339d, 0x8f6826250dea891e, 0xf07afff3a892374e, 0x175eb4afc8daadd8,
        0x85db6ab03a49bd0d, 0xc0b1b31d8a0e23fa, 0xc5e5767df95884e0, 0x6425a41526fac51c,
        0x3ea8449fe8f70edd, 0x062b1a63a6c4c60c, 0x52ab33161e238438, 0x897a39ce78b63c9f,
        0x364f5b8aef22ec2f, 0xee6e0850eca42d06, 0xfb0c75df5497e00c, 0x554b03d7d2874a00,
        0x0ca8f58d94f0341c, 0xbe2ec92156c9f949, 0xdb4a9316f281501e, 0x53daec3f64f1b783,
        0x154c60320e2ff793, 0x33ce3573facc5fdc, 0xf11785903155bbd9, 0x0f023b220224fcd8,
        0x471bf4f445f0a88a, 0x14f0cd976ea354bb, 0x20cdb5ccb3db2392, 0x88d586554e2a0e8a,
        0x6fe51a8cfaa72ef2, 0xad8a43dc4212b210, 0xb779dfe49d7307cc, 0x846532e4b9694eda,
        0xd162af053b1751f3, 0xa3d091f656658154, 0x12b5e8c202461069, 0xac14b958784934b8,
        0xd6cce1daa5053701, 0x1aa4fb42b9a3def4, 0x1bda1f85ef6fdbf2, 0xf2d89d2a4b183527,
        0x8fd9405789f45681, 0x2b552879a6168695, 0xc12963b0ff01eaab, 0x73e5b5c1585318e7,
        0x624f14a51a4a026b, 0x6808292057fd99b6, 0x6dc085a98ac8d8ca, 0xf9eeeea98a2400ca,
        0xc95f260fd10036f9, 0xf91096ac3195220a, 0x1a356b2a73b7eaad, 0xaf6d605871ef7afc,
    ],
];

use crate::int::types::traits::BigInt;

/// `ln(1 + idx/M)` reconstructed at working scale `w` (`idx ∈ [0,
/// M]`) in the tier's work integer `W` (a value `x` held as `x ·
/// 10^w`). Replaces the per-call `ln_fixed` Series recompute.
///
/// The slot is stored as `slot = round(L_idx · 2^B)` (B = LN_TANG_B,
/// MS-limb first). We SLICE the high-order `p` limbs needed for this
/// working scale — `slot_hi = floor(slot / 2^(B − 64·p))`, the binary
/// fixed-point of `L_idx` at exponent `bp = 64·p` — then reconstruct
///
/// ```text
/// round(L_idx · 10^w) = round(slot_hi · 10^w / 2^bp)
///                     = (slot_hi · 10^w + 2^(bp−1)) >> bp
/// ```
///
/// entirely in `W`: one zero-extend, one multiply, one add, one
/// shift. `p` is chosen so `bp` carries the working scale's bits plus
/// generous guard, and so the product `slot_hi · 10^w` (≈ bp + w·
/// log2(10) bits ≈ 6.6·w bits, with w ≤ W::BITS/8) fits `W`.
///
/// `idx = 0` short-circuits to `0` (ln 1). The MS-limb-first layout
/// makes the slice a contiguous high-limb PREFIX: a narrow tier reads
/// fewer limbs, the widest tier reads the whole entry.
#[inline]
pub(crate) fn ln_table_entry_baked<W: BigInt>(w: u32, idx: usize, pow10_w: W) -> W {
    if idx == 0 {
        return W::ZERO;
    }
    let slot = &LN_TANG_SLOTS[idx];
    // Binary precision needed: w·log2(10) value bits + guard. Use the
    // rational 3322/1000 ≈ log2(10) (a slight over-estimate) and a
    // 64-bit (one-limb) guard so the converted slot rounds correctly
    // yet the conversion product `slot_hi · 10^w` (≈ bp + w·log2(10)
    // ≈ 2·w·log2(10) + 64 ≈ 0.83·W::BITS + 64 at the `w = W::BITS/8`
    // cap) stays inside `W` even on the narrowest work integer
    // (Int<16> = 1024 bits: 0.83·1024 + 64 ≈ 914 < 1024). Round the
    // limb count up; assert it fits the stored width.
    let need_bits = (w as u64) * 3322 / 1000 + 64;
    let p_full = need_bits.div_ceil(64) as usize;
    assert!(
        p_full <= LN_TANG_LIMBS,
        "ln_tang: working scale {w} out of generated range ({LN_TANG_LIMBS} limbs)"
    );
    let p = p_full.max(1);
    // Zero-extend the top `p` limbs (MS-first) into W:
    //   slot_hi = sum_{k=0..p-1} slot[k] · 2^(64·(p−1−k)).
    let mut slot_hi = W::ZERO;
    for s in slot.iter().take(p) {
        slot_hi = (slot_hi << 64)
            | W::from_mag_sign_u128(&[*s as u128], false);
    }
    let bp = (64 * p) as u32;
    // `10^w` in `W` — supplied by the caller from the kernel's baked
    // `pow10_table` static (a lookup, not a per-call recompute).
    let scaled = slot_hi * pow10_w;
    // Round-half-up: add 2^(bp−1), then shift right by bp.
    let bias = W::ONE << (bp - 1);
    (scaled + bias) >> bp
}