Test Vectors

Small generator multiples

This table has hex-encodings of small multiples of the generator $B$ :

Element	Hex encoding
$0$	`0000000000000000000000000000000000000000000000000000000000000000`
$B$	`0800000000000000000000000000000000000000000000000000000000000000`
$[2] B$	`b2ecf9b9082d6306538be73b0d6ee741141f3222152da78685d6596efc8c1506`
$[3] B$	`2ebd42dd3a2307083c834e79fb9e787e352dd33e0d719f86ae4adb02fe382409`
$[4] B$	`6acd327d70f9588fac373d165f4d9d5300510274dffdfdf2bf0955acd78da50d`
$[5] B$	`460f913e516441c286d95dd30b0a2d2bf14264f325528b06455d7cb93ba13a0b`
$[6] B$	`ec8798bcbb3bf29329549d769f89cf7993e15e2c68ec7aa2a956edf5ec62ae07`
$[7] B$	`48b01e513dd37d94c3b48940dc133b92ccba7f546e99d3fc2e602d284f609f00`
$[8] B$	`a4e85dddd19c80ecf5ef10b9d27b6626ac1a4f90bd10d263c717ecce4da6570a`
$[9] B$	`1a8fea8cbfbc91236d8c7924e3e7e617f9dd544b710ee83827737fe8dc63ae00`
$[10] B$	`0a0f86eaac0c1af30eb138467c49381edb2808904c81a4b81d2b02a2d7816006`
$[11] B$	`588125a8f4e2bab8d16affc4ca60c5f64b50d38d2bb053148021631f72e99b06`
$[12] B$	`f43f4cefbe7326eaab1584722b1b4860de554b23a14490a03f3fd63a089add0b`
$[13] B$	`76c739a33ffd15cf6554a8e705dc573f26490b64de0c5bd4e4ac75ed5af8e60b`
$[14] B$	`200136952d18d3f6c70347032ba3fef4f60c240d706be2950b4f42f1a7087705`
$[15] B$	`bcb0f922df1c7aa9579394020187a2e19e2d8073452c6ab9b0c4b052aa50f505`

Hash-to-group

This table has input field elements along with the $(x, y)$ affine coordinates of the output point after applying the elligator map once:

Input field element	$(x, y)$ output point
`2873166235834220037104482467644394559952202754715866736878534498814378075613`	`(1267955849280145133999011095767946180059440909377398529682813961428156596086, 5356565093348124788258444273601808083900527100008973995409157974880178412098)`
`7664634080946480262422274939177258683377350652451958930279692300451854076695`	`(1502379126429822955521756759528876454108853047288874182661923263559139887582, 7074060208122316523843780248565740332109149189893811936352820920606931717751)`
`707087697291448463178823336344479808196630248514167087002061771344499604401`	`(2943006201157313879823661217587757631000260143892726691725524748591717287835, 4988568968545687084099497807398918406354768651099165603393269329811556860241)`
`4040687156656275865790182426684295234932961916167736272791705576788972921292`	`(2893226299356126359042735859950249532894422276065676168505232431940642875576, 5540423804567408742733533031617546054084724133604190833318816134173899774745)`
`6012393175004325154204026250961812614679561282637871416475605431319079196219`	`(2950911977149336430054248283274523588551527495862004038190631992225597951816, 4487595759841081228081250163499667279979722963517149877172642608282938805393)`
`7255180635786717958849398836099816771666363291918359850790043721721417277258`	`(3318574188155535806336376903248065799756521242795466350457330678746659358665, 7706453242502782485686954136003233626318476373744684895503194201695334921001)`
`6609366864829739556945402594963920739176902000316365292959221199804402230199`	`(3753408652523927772367064460787503971543824818235418436841486337042861871179, 2820605049615187268236268737743168629279853653807906481532750947771625104256)`
`6875465950337820928985371259904709015074922314668494500948688901607284806973`	`(7803875556376973796629423752730968724982795310878526731231718944925551226171, 7033839813997913565841973681083930410776455889380940679209912201081069572111)`