Repository: dalek-cryptography/curve25519-dalek (language: rust)

Issue:
Should the tables be static instead of const?
I wonder if the fact that the generator tables are const could result in the table replicating across compilation units and if it should be a static instead.

I did not check binaries for this nor did I dive into how by-reference const access happens in rust


Discussion / hints:
It seems like all the accesses borrow the basepoint table, e.g.

```rust
let bp = &constants::ED25519_BASEPOINT_TABLE * &Scalar::ONE;
```

Perhaps it should just be declared as a `'static` reference to begin with?

```rust
pub const ED25519_BASEPOINT_TABLE: &'static EdwardsBasepointTable = ...
```

I'm not sure if that alone is sufficient to prevent duplicating the table, does it still need to be declared `static` too?

```rust
pub static ED25519_BASEPOINT_TABLE: &'static EdwardsBasepointTable = ...
```
@tarcieri 
AFAIR `const A: &'static Something = &...` compiles to:
```
static _anonymous_A: Something = ...;
const A: &'static Something = &_anonymous_A;
```

Fix patch:
diff --git a/benches/dalek_benchmarks.rs b/benches/dalek_benchmarks.rs
index 91f8f4faa..bffe9a004 100644
--- a/benches/dalek_benchmarks.rs
+++ b/benches/dalek_benchmarks.rs
@@ -32,7 +32,7 @@ mod edwards_benches {
     }
 
     fn consttime_fixed_base_scalar_mul(c: &mut Criterion) {
-        let B = &constants::ED25519_BASEPOINT_TABLE;
+        let B = constants::ED25519_BASEPOINT_TABLE;
         let s = Scalar::from(897987897u64).invert();
         c.bench_function("Constant-time fixed-base scalar mul", move |b| {
             b.iter(|| B * &s)
@@ -50,7 +50,7 @@ mod edwards_benches {
     fn vartime_double_base_scalar_mul(c: &mut Criterion) {
         c.bench_function("Variable-time aA+bB, A variable, B fixed", |bench| {
             let mut rng = thread_rng();
-            let A = &Scalar::random(&mut rng) * &constants::ED25519_BASEPOINT_TABLE;
+            let A = &Scalar::random(&mut rng) * constants::ED25519_BASEPOINT_TABLE;
             bench.iter_batched(
                 || (Scalar::random(&mut rng), Scalar::random(&mut rng)),
                 |(a, b)| EdwardsPoint::vartime_double_scalar_mul_basepoint(&a, &A, &b),
@@ -88,7 +88,7 @@ mod multiscalar_benches {
     fn construct_points(n: usize) -> Vec<EdwardsPoint> {
         let mut rng = thread_rng();
         (0..n)
-            .map(|_| &Scalar::random(&mut rng) * &constants::ED25519_BASEPOINT_TABLE)
+            .map(|_| &Scalar::random(&mut rng) * constants::ED25519_BASEPOINT_TABLE)
             .collect()
     }
 
diff --git a/src/backend/serial/u32/constants.rs b/src/backend/serial/u32/constants.rs
index 85eb3243a..c4baed97c 100644
--- a/src/backend/serial/u32/constants.rs
+++ b/src/backend/serial/u32/constants.rs
@@ -234,3661 +234,3661 @@ pub const EIGHT_TORSION_INNER_DOC_HIDDEN: [EdwardsPoint; 8] = [
 ];
 
 /// Table containing precomputed multiples of the Ed25519 basepoint \\(B = (x, 4/5)\\).
-pub const ED25519_BASEPOINT_TABLE: EdwardsBasepointTable = ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN;
+pub static ED25519_BASEPOINT_TABLE: &'static EdwardsBasepointTable =
+    &ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN;
 
 /// Inner constant, used to avoid filling the docs with precomputed points.
 #[doc(hidden)]
-pub const ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN: EdwardsBasepointTable =
-    EdwardsBasepointTable([
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    93076338, 52752828, 29566454, 37215328, 54414518, 37569218, 94653489, 21800160,
-                    61029707, 35602036,
-                ]),
-                y_minus_x: FieldElement2625([
-                    54563134, 934261, 64385954, 3049989, 66381436, 9406985, 12720692, 5043384,
-                    19500929, 18085054,
-                ]),
-                xy2d: FieldElement2625([
-                    58370664, 4489569, 9688441, 18769238, 10184608, 21191052, 29287918, 11864899,
-                    42594502, 29115885,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    54292951, 54132516, 45527619, 11784319, 41753206, 30803714, 55390960, 29739860,
-                    66750418, 23343128,
-                ]),
-                y_minus_x: FieldElement2625([
-                    45405608, 6903824, 27185491, 6451973, 37531140, 24000426, 51492312, 11189267,
-                    40279186, 28235350,
-                ]),
-                xy2d: FieldElement2625([
-                    26966623, 11152617, 32442495, 15396054, 14353839, 20802097, 63980037, 24013313,
-                    51636816, 29387734,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    82745136, 23865874, 24204772, 25642034, 67725840, 16869169, 94896463, 52336674,
-                    28944398, 32004408,
-                ]),
-                y_minus_x: FieldElement2625([
-                    16568933, 4717097, 55552716, 32452109, 15682895, 21747389, 16354576, 21778470,
-                    7689661, 11199574,
-                ]),
-                xy2d: FieldElement2625([
-                    30464137, 27578307, 55329429, 17883566, 23220364, 15915852, 7512774, 10017326,
-                    49359771, 23634074,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    50071967, 13921891, 78054670, 27521000, 27105051, 17470053, 105291517,
-                    15006021, 70393432, 27277891,
-                ]),
-                y_minus_x: FieldElement2625([
-                    23599295, 25248385, 55915199, 25867015, 13236773, 10506355, 7464579, 9656445,
-                    13059162, 10374397,
-                ]),
-                xy2d: FieldElement2625([
-                    7798537, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, 29715387,
-                    66467155, 33453106,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    77970208, 11473153, 27284546, 35535607, 37044514, 46132292, 99976748, 48069538,
-                    118779423, 44373810,
-                ]),
-                y_minus_x: FieldElement2625([
-                    4708026, 6336745, 20377586, 9066809, 55836755, 6594695, 41455196, 12483687,
-                    54440373, 5581305,
-                ]),
-                xy2d: FieldElement2625([
-                    19563141, 16186464, 37722007, 4097518, 10237984, 29206317, 28542349, 13850243,
-                    43430843, 17738489,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    51736881, 20691677, 32573249, 4720197, 107781206, 39429941, 115029100,
-                    18329611, 124398787, 21468653,
-                ]),
-                y_minus_x: FieldElement2625([
-                    58559652, 109982, 15149363, 2178705, 22900618, 4543417, 3044240, 17864545,
-                    1762327, 14866737,
-                ]),
-                xy2d: FieldElement2625([
-                    48909169, 17603008, 56635573, 1707277, 49922944, 3916100, 38872452, 3959420,
-                    27914454, 4383652,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    72262591, 43463716, 68832610, 30776557, 97632468, 39071304, 86589715, 38784565,
-                    43156424, 18378665,
-                ]),
-                y_minus_x: FieldElement2625([
-                    36839857, 30090922, 7665485, 10083793, 28475525, 1649722, 20654025, 16520125,
-                    30598449, 7715701,
-                ]),
-                xy2d: FieldElement2625([
-                    28881826, 14381568, 9657904, 3680757, 46927229, 7843315, 35708204, 1370707,
-                    29794553, 32145132,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    14499452, 64379265, 33917749, 62854211, 95603724, 14271266, 97399599, 10876453,
-                    33954766, 35936157,
-                ]),
-                y_minus_x: FieldElement2625([
-                    59913433, 30899068, 52378708, 462250, 39384538, 3941371, 60872247, 3696004,
-                    34808032, 15351954,
-                ]),
-                xy2d: FieldElement2625([
-                    27431194, 8222322, 16448760, 29646437, 48401861, 11938354, 34147463, 30583916,
-                    29551812, 10109425,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    53451805, 20399000, 102933977, 45331528, 88556249, 40073815, 64730579,
-                    31926875, 77201646, 28790260,
-                ]),
-                y_minus_x: FieldElement2625([
-                    27939166, 14210322, 4677035, 16277044, 44144402, 21156292, 34600109, 12005537,
-                    49298737, 12803509,
-                ]),
-                xy2d: FieldElement2625([
-                    17228999, 17892808, 65875336, 300139, 65883994, 21839654, 30364212, 24516238,
-                    18016356, 4397660,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    56150002, 25864224, 4776340, 18600194, 27850027, 17952220, 40489757, 14544524,
-                    49631360, 34537070,
-                ]),
-                y_minus_x: FieldElement2625([
-                    29253598, 15796703, 64244882, 23645547, 10057022, 3163536, 7332899, 29434304,
-                    46061167, 9934962,
-                ]),
-                xy2d: FieldElement2625([
-                    5793284, 16271923, 42977250, 23438027, 29188559, 1206517, 52360934, 4559894,
-                    36984942, 22656481,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    39464893, 55615857, 83391519, 22517938, 28414020, 52096600, 24191032, 38096129,
-                    53770554, 39054999,
-                ]),
-                y_minus_x: FieldElement2625([
-                    12650548, 32057319, 9052870, 11355358, 49428827, 25154267, 49678271, 12264342,
-                    10874051, 13524335,
-                ]),
-                xy2d: FieldElement2625([
-                    25556948, 30508442, 714650, 2510400, 23394682, 23139102, 33119037, 5080568,
-                    44580805, 5376627,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    108129445, 29543378, 50095164, 30016803, 60382070, 35475328, 44787558,
-                    57661420, 71644630, 35123438,
-                ]),
-                y_minus_x: FieldElement2625([
-                    64853442, 14606629, 45416424, 25514613, 28430648, 8775819, 36614302, 3044289,
-                    31848280, 12543772,
-                ]),
-                xy2d: FieldElement2625([
-                    45080285, 2943892, 35251351, 6777305, 13784462, 29262229, 39731668, 31491700,
-                    7718481, 14474653,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    69494160, 36008644, 44477543, 33601034, 62670928, 51428448, 67765827, 26317766,
-                    91425031, 28300864,
-                ]),
-                y_minus_x: FieldElement2625([
-                    13741529, 10911568, 33875447, 24950694, 46931033, 32521134, 33040650, 20129900,
-                    46379407, 8321685,
-                ]),
-                xy2d: FieldElement2625([
-                    21060490, 31341688, 15712756, 29218333, 1639039, 10656336, 23845965, 21679594,
-                    57124405, 608371,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    53436113, 18466845, 56219170, 25997372, 61071954, 11305546, 68232832, 60328286,
-                    94338261, 33578318,
-                ]),
-                y_minus_x: FieldElement2625([
-                    43864724, 33260226, 55364135, 14712570, 37643165, 31524814, 12797023, 27114124,
-                    65475458, 16678953,
-                ]),
-                xy2d: FieldElement2625([
-                    37608244, 4770661, 51054477, 14001337, 7830047, 9564805, 65600720, 28759386,
-                    49939598, 4904952,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    91168402, 48171434, 86146020, 18514523, 86874956, 18648002, 72278074, 16191879,
-                    69237100, 29227598,
-                ]),
-                y_minus_x: FieldElement2625([
-                    50127693, 4124965, 58568254, 22900634, 30336521, 19449185, 37302527, 916032,
-                    60226322, 30567899,
-                ]),
-                xy2d: FieldElement2625([
-                    44477957, 12419371, 59974635, 26081060, 50629959, 16739174, 285431, 2763829,
-                    15736322, 4143876,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    69488197, 11839344, 62998462, 27565766, 78383161, 34349388, 67321664, 18959768,
-                    23527083, 17096164,
-                ]),
-                y_minus_x: FieldElement2625([
-                    33431108, 22423954, 49269897, 17927531, 8909498, 8376530, 34483524, 4087880,
-                    51919953, 19138217,
-                ]),
-                xy2d: FieldElement2625([
-                    1767664, 7197987, 53903638, 31531796, 54017513, 448825, 5799055, 4357868,
-                    62334673, 17231393,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    6721947, 47388255, 43585475, 32003117, 93463156, 21691110, 90474010, 29604699,
-                    74499753, 36314231,
-                ]),
-                y_minus_x: FieldElement2625([
-                    4409022, 2052381, 23373853, 10530217, 7676779, 20668478, 21302352, 29290375,
-                    1244379, 20634787,
-                ]),
-                xy2d: FieldElement2625([
-                    62687625, 7169618, 4982368, 30596842, 30256824, 30776892, 14086412, 9208236,
-                    15886429, 16489664,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    69104920, 43930080, 81455230, 46865633, 60234728, 17116020, 120524529,
-                    33952799, 36502408, 32841498,
-                ]),
-                y_minus_x: FieldElement2625([
-                    41801399, 9795879, 64331450, 14878808, 33577029, 14780362, 13348553, 12076947,
-                    36272402, 5113181,
-                ]),
-                xy2d: FieldElement2625([
-                    49338080, 11797795, 31950843, 13929123, 41220562, 12288343, 36767763, 26218045,
-                    13847710, 5387222,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    48526682, 30138214, 84933706, 64767897, 89853205, 56666252, 75871923, 37172217,
-                    47508201, 43925422,
-                ]),
-                y_minus_x: FieldElement2625([
-                    20246567, 19185054, 22358228, 33010720, 18507282, 23140436, 14554436, 24808340,
-                    32232923, 16763880,
-                ]),
-                xy2d: FieldElement2625([
-                    9648486, 10094563, 26416693, 14745928, 36734546, 27081810, 11094160, 15689506,
-                    3140038, 17044340,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    50948773, 39027126, 31895587, 38299426, 75932378, 43920116, 39884063, 43003044,
-                    38334409, 33920726,
-                ]),
-                y_minus_x: FieldElement2625([
-                    19153450, 11523972, 56012374, 27051289, 42461232, 5420646, 28344573, 8041113,
-                    719605, 11671788,
-                ]),
-                xy2d: FieldElement2625([
-                    8678006, 2694440, 60300850, 2517371, 4964326, 11152271, 51675948, 18287915,
-                    27000812, 23358879,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    119059805, 40688742, 75748150, 30739554, 59873175, 43976173, 67672928,
-                    38890528, 73859840, 19033405,
-                ]),
-                y_minus_x: FieldElement2625([
-                    11836410, 29574944, 26297893, 16080799, 23455045, 15735944, 1695823, 24735310,
-                    8169719, 16220347,
-                ]),
-                xy2d: FieldElement2625([
-                    48993007, 8653646, 17578566, 27461813, 59083086, 17541668, 55964556, 30926767,
-                    61118155, 19388398,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    43800347, 22586119, 82322091, 23473217, 36255258, 22504427, 27884328, 36401716,
-                    69764724, 35292826,
-                ]),
-                y_minus_x: FieldElement2625([
-                    39571412, 19301410, 41772562, 25551651, 57738101, 8129820, 21651608, 30315096,
-                    48021414, 22549153,
-                ]),
-                xy2d: FieldElement2625([
-                    1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408,
-                    10478196, 8544890,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    32173083, 50979553, 24896205, 37475929, 22579055, 63698010, 19270447, 45771905,
-                    84897880, 63712868,
-                ]),
-                y_minus_x: FieldElement2625([
-                    36555903, 31326030, 51530034, 23407230, 13243888, 517024, 15479401, 29701199,
-                    30460519, 1052596,
-                ]),
-                xy2d: FieldElement2625([
-                    55493970, 13323617, 32618793, 8175907, 51878691, 12596686, 27491595, 28942073,
-                    3179267, 24075541,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    99055914, 52742212, 62468279, 18214510, 51982886, 27514722, 52352086, 17142691,
-                    19072639, 24043372,
-                ]),
-                y_minus_x: FieldElement2625([
-                    11685058, 11822410, 3158003, 19601838, 33402193, 29389366, 5977895, 28339415,
-                    473098, 5040608,
-                ]),
-                xy2d: FieldElement2625([
-                    46817982, 8198641, 39698732, 11602122, 1290375, 30754672, 28326861, 1721092,
-                    47550222, 30422825,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    74990396, 10687936, 74687587, 7738377, 48157852, 31000479, 88929649, 8076148,
-                    39240368, 11538388,
-                ]),
-                y_minus_x: FieldElement2625([
-                    47173198, 3899860, 18283497, 26752864, 51380203, 22305220, 8754524, 7446702,
-                    61432810, 5797015,
-                ]),
-                xy2d: FieldElement2625([
-                    55813245, 29760862, 51326753, 25589858, 12708868, 25098233, 2014098, 24503858,
-                    64739691, 27677090,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    111745333, 55540121, 106535706, 34700805, 86065554, 50194990, 68301593,
-                    29840232, 82232482, 44365936,
-                ]),
-                y_minus_x: FieldElement2625([
-                    14352079, 30134717, 48166819, 10822654, 32750596, 4699007, 67038501, 15776355,
-                    38222085, 21579878,
-                ]),
-                xy2d: FieldElement2625([
-                    38867681, 25481956, 62129901, 28239114, 29416930, 1847569, 46454691, 17069576,
-                    4714546, 23953777,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    15200313, 41923004, 86787964, 15970073, 35236190, 35513882, 24611598, 29010600,
-                    55362987, 45894651,
-                ]),
-                y_minus_x: FieldElement2625([
-                    12876937, 23074376, 33134380, 6590940, 60801088, 14872439, 9613953, 8241152,
-                    15370987, 9608631,
-                ]),
-                xy2d: FieldElement2625([
-                    62965568, 21540023, 8446280, 33162829, 4407737, 13629032, 59383996, 15866073,
-                    38898243, 24740332,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    26660609, 51431209, 75502596, 33912478, 59707572, 34547419, 43204630, 34413128,
-                    87680086, 41974987,
-                ]),
-                y_minus_x: FieldElement2625([
-                    14620696, 13067227, 51661590, 8264466, 14106269, 15080814, 33531827, 12516406,
-                    45534429, 21077682,
-                ]),
-                xy2d: FieldElement2625([
-                    236881, 10476226, 57258, 18877408, 6472997, 2466984, 17258519, 7256740,
-                    8791136, 15069930,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    68385255, 24182513, 90058498, 17231624, 43615824, 61406677, 81820737, 38428660,
-                    36445723, 31223040,
-                ]),
-                y_minus_x: FieldElement2625([
-                    5855666, 4990204, 53397016, 7294283, 59304582, 1924646, 65685689, 25642053,
-                    34039526, 9234252,
-                ]),
-                xy2d: FieldElement2625([
-                    20590503, 24535444, 31529743, 26201766, 64402029, 10650547, 31559055, 21944845,
-                    18979185, 13396066,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    24474268, 38522535, 22267081, 37961786, 91172745, 25229251, 48291976, 13594781,
-                    33514650, 40576390,
-                ]),
-                y_minus_x: FieldElement2625([
-                    55541958, 26988926, 45743778, 15928891, 40950559, 4315420, 41160136, 29637754,
-                    45628383, 12868081,
-                ]),
-                xy2d: FieldElement2625([
-                    38473832, 13504660, 19988037, 31421671, 21078224, 6443208, 45662757, 2244499,
-                    54653067, 25465048,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    36513317, 13793478, 61256044, 33873567, 41385691, 60844964, 100195408, 8957936,
-                    51875216, 39094952,
-                ]),
-                y_minus_x: FieldElement2625([
-                    55478669, 22050529, 58989363, 25911358, 2620055, 1022908, 43398120, 31985447,
-                    50980335, 18591624,
-                ]),
-                xy2d: FieldElement2625([
-                    23152952, 775386, 27395463, 14006635, 57407746, 4649511, 1689819, 892185,
-                    55595587, 18348483,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    76878974, 43141169, 93604957, 37878551, 68665374, 30004407, 94562682, 38317558,
-                    47929249, 39421565,
-                ]),
-                y_minus_x: FieldElement2625([
-                    34343820, 1927589, 31726409, 28801137, 23962433, 17534932, 27846558, 5931263,
-                    37359161, 17445976,
-                ]),
-                xy2d: FieldElement2625([
-                    27461885, 30576896, 22380809, 1815854, 44075111, 30522493, 7283489, 18406359,
-                    47582163, 7734628,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    59098581, 57518046, 55988459, 39750469, 29344157, 20123547, 74694158, 30377805,
-                    85658360, 48856500,
-                ]),
-                y_minus_x: FieldElement2625([
-                    34450527, 27383209, 59436070, 22502750, 6258877, 13504381, 10458790, 27135971,
-                    58236621, 8424745,
-                ]),
-                xy2d: FieldElement2625([
-                    24687186, 8613276, 36441818, 30320886, 1863891, 31723888, 19206233, 7134917,
-                    55824382, 32725512,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    11334880, 24336410, 75134156, 46261950, 84632755, 23078360, 77352601, 18868970,
-                    62042829, 50053268,
-                ]),
-                y_minus_x: FieldElement2625([
-                    8911542, 6887158, 57524604, 26595841, 11145640, 24010752, 17303924, 19430194,
-                    6536640, 10543906,
-                ]),
-                xy2d: FieldElement2625([
-                    38162480, 15479762, 49642029, 568875, 65611181, 11223453, 64439674, 16928857,
-                    39873154, 8876770,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    41365946, 54541999, 118567760, 32707823, 101191041, 32758142, 33627041,
-                    15824473, 66504438, 24514614,
-                ]),
-                y_minus_x: FieldElement2625([
-                    10330056, 70051, 7957388, 24551765, 9764901, 15609756, 27698697, 28664395,
-                    1657393, 3084098,
-                ]),
-                xy2d: FieldElement2625([
-                    10477963, 26084172, 12119565, 20303627, 29016246, 28188843, 31280318, 14396151,
-                    36875289, 15272408,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    54820536, 36723894, 28813182, 16658753, 92225296, 27923965, 109043770,
-                    54472724, 42094105, 35504935,
-                ]),
-                y_minus_x: FieldElement2625([
-                    40928506, 9489186, 11053416, 18808271, 36055143, 5825629, 58724558, 24786899,
-                    15341278, 8373727,
-                ]),
-                xy2d: FieldElement2625([
-                    28685821, 7759505, 52730348, 21551571, 35137043, 4079241, 298136, 23321830,
-                    64230656, 15190419,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    34175950, 47360767, 52771378, 51314432, 110213106, 10940926, 75778582,
-                    36296824, 108184414, 60233859,
-                ]),
-                y_minus_x: FieldElement2625([
-                    65528476, 21825014, 41129205, 22109408, 49696989, 22641577, 9291593, 17306653,
-                    54954121, 6048604,
-                ]),
-                xy2d: FieldElement2625([
-                    36803549, 14843443, 1539301, 11864366, 20201677, 1900163, 13934231, 5128323,
-                    11213262, 9168384,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    40828313, 44562278, 19408959, 32613674, 115624762, 29225850, 62020803,
-                    22449281, 20470156, 50710163,
-                ]),
-                y_minus_x: FieldElement2625([
-                    43972811, 9282191, 14855179, 18164354, 59746048, 19145871, 44324911, 14461607,
-                    14042978, 5230683,
-                ]),
-                xy2d: FieldElement2625([
-                    29969548, 30812838, 50396996, 25001989, 9175485, 31085458, 21556950, 3506042,
-                    61174973, 21104723,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    63964099, 42299092, 19704002, 38135710, 46678177, 6830682, 45824694, 42525944,
-                    38569674, 48880994,
-                ]),
-                y_minus_x: FieldElement2625([
-                    47644235, 10110287, 49846336, 30050539, 43608476, 1355668, 51585814, 15300987,
-                    46594746, 9168259,
-                ]),
-                xy2d: FieldElement2625([
-                    61755510, 4488612, 43305616, 16314346, 7780487, 17915493, 38160505, 9601604,
-                    33087103, 24543045,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    47665675, 18041531, 46311396, 21109108, 104393280, 43783891, 39664534,
-                    52108332, 61111992, 49219103,
-                ]),
-                y_minus_x: FieldElement2625([
-                    23294591, 16921819, 44458082, 25083453, 27844203, 11461195, 13099750, 31094076,
-                    18151675, 13417686,
-                ]),
-                xy2d: FieldElement2625([
-                    42385932, 29377914, 35958184, 5988918, 40250079, 6685064, 1661597, 21002991,
-                    15271675, 18101767,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    78541887, 20325766, 75348494, 28274914, 65123427, 32828713, 48410099, 35721975,
-                    60187562, 20114249,
-                ]),
-                y_minus_x: FieldElement2625([
-                    35672693, 15575145, 30436815, 12192228, 44645511, 9395378, 57191156, 24915434,
-                    12215109, 12028277,
-                ]),
-                xy2d: FieldElement2625([
-                    14098381, 6555944, 23007258, 5757252, 51681032, 20603929, 30123439, 4617780,
-                    50208775, 32898803,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    63082644, 51868028, 79002030, 47273095, 52299401, 35401816, 51288864, 43708440,
-                    91082124, 20869957,
-                ]),
-                y_minus_x: FieldElement2625([
-                    40577025, 29858441, 65199965, 2534300, 35238307, 17004076, 18341389, 22134481,
-                    32013173, 23450893,
-                ]),
-                xy2d: FieldElement2625([
-                    41629544, 10876442, 55337778, 18929291, 54739296, 1838103, 21911214, 6354752,
-                    4425632, 32716610,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    56675456, 18941465, 89338721, 30463384, 53917697, 34331160, 116802352,
-                    55088400, 71833867, 47599401,
-                ]),
-                y_minus_x: FieldElement2625([
-                    19268631, 26250011, 1555348, 8692754, 45634805, 23643767, 6347389, 32142648,
-                    47586572, 17444675,
-                ]),
-                xy2d: FieldElement2625([
-                    42244775, 12986007, 56209986, 27995847, 55796492, 33405905, 19541417, 8180106,
-                    9282262, 10282508,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    108012627, 37982977, 58447667, 20360168, 71207265, 52943606, 15522533, 8372215,
-                    72651459, 22851748,
-                ]),
-                y_minus_x: FieldElement2625([
-                    56546323, 14895632, 26814552, 16880582, 49628109, 31065071, 64326972, 6993760,
-                    49014979, 10114654,
-                ]),
-                xy2d: FieldElement2625([
-                    47001790, 32625013, 31422703, 10427861, 59998115, 6150668, 38017109, 22025285,
-                    25953724, 33448274,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    62874448, 59069571, 57989737, 36600431, 69210472, 54501569, 86498882, 39648727,
-                    63793584, 46385556,
-                ]),
-                y_minus_x: FieldElement2625([
-                    51110167, 7578151, 5310217, 14408357, 33560244, 33329692, 31575953, 6326196,
-                    7381791, 31132593,
-                ]),
-                xy2d: FieldElement2625([
-                    46206085, 3296810, 24736065, 17226043, 18374253, 7318640, 6295303, 8082724,
-                    51746375, 12339663,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    27724736, 35845589, 73197064, 19369633, 68901590, 39412065, 80957277, 15768921,
-                    92200031, 14856293,
-                ]),
-                y_minus_x: FieldElement2625([
-                    48242193, 8331042, 24373479, 8541013, 66406866, 24284974, 12927299, 20858939,
-                    44926390, 24541532,
-                ]),
-                xy2d: FieldElement2625([
-                    55685435, 28132841, 11632844, 3405020, 30536730, 21880393, 39848098, 13866389,
-                    30146206, 9142070,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    71032974, 18246915, 120400605, 23499470, 79400683, 32886065, 39406089, 9326383,
-                    58871006, 37725725,
-                ]),
-                y_minus_x: FieldElement2625([
-                    51186905, 16037936, 6713787, 16606682, 45496729, 2790943, 26396185, 3731949,
-                    345228, 28091483,
-                ]),
-                xy2d: FieldElement2625([
-                    45781307, 13448258, 25284571, 1143661, 20614966, 24705045, 2031538, 21163201,
-                    50855680, 19972348,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    98125037, 16832002, 93480255, 52657630, 62081513, 14854136, 17477601, 37397089,
-                    28012649, 50703444,
-                ]),
-                y_minus_x: FieldElement2625([
-                    62033029, 9368965, 58546785, 28953529, 51858910, 6970559, 57918991, 16292056,
-                    58241707, 3507939,
-                ]),
-                xy2d: FieldElement2625([
-                    29439664, 3537914, 23333589, 6997794, 49553303, 22536363, 51899661, 18503164,
-                    57943934, 6580395,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    54922984, 59429075, 83547131, 10826159, 58412047, 27318820, 84969307, 24280585,
-                    65013061, 42858998,
-                ]),
-                y_minus_x: FieldElement2625([
-                    20714545, 29217521, 29088194, 7406487, 11426967, 28458727, 14792666, 18945815,
-                    5289420, 33077305,
-                ]),
-                xy2d: FieldElement2625([
-                    50443312, 22903641, 60948518, 20248671, 9192019, 31751970, 17271489, 12349094,
-                    26939669, 29802138,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    54218947, 9373457, 98704712, 16374214, 21471720, 13221525, 39825369, 54760304,
-                    63410056, 33672318,
-                ]),
-                y_minus_x: FieldElement2625([
-                    22263325, 26994382, 3984569, 22379786, 51994855, 32987646, 28311252, 5358056,
-                    43789084, 541963,
-                ]),
-                xy2d: FieldElement2625([
-                    16259200, 3261970, 2309254, 18019958, 50223152, 28972515, 24134069, 16848603,
-                    53771797, 20002236,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    76487005, 20414245, 111371745, 20809166, 95307144, 59864765, 64709178,
-                    32837080, 67799289, 48430675,
-                ]),
-                y_minus_x: FieldElement2625([
-                    24977353, 33240048, 58884894, 20089345, 28432342, 32378079, 54040059, 21257083,
-                    44727879, 6618998,
-                ]),
-                xy2d: FieldElement2625([
-                    65570671, 11685645, 12944378, 13682314, 42719353, 19141238, 8044828, 19737104,
-                    32239828, 27901670,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    48505798, 38317421, 66182613, 42439735, 105805247, 30367115, 76890510,
-                    23204372, 32779358, 5095274,
-                ]),
-                y_minus_x: FieldElement2625([
-                    34100715, 28339925, 34843976, 29869215, 9460460, 24227009, 42507207, 14506723,
-                    21639561, 30924196,
-                ]),
-                xy2d: FieldElement2625([
-                    50707921, 20442216, 25239337, 15531969, 3987758, 29055114, 65819361, 26690896,
-                    17874573, 558605,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    53508716, 10240080, 76280747, 16131052, 46239610, 43154131, 100608350,
-                    38634582, 69194755, 38674192,
-                ]),
-                y_minus_x: FieldElement2625([
-                    44903700, 31034903, 50727262, 414690, 42089314, 2170429, 30634760, 25190818,
-                    35108870, 27794547,
-                ]),
-                xy2d: FieldElement2625([
-                    60263160, 15791201, 8550074, 32241778, 29928808, 21462176, 27534429, 26362287,
-                    44757485, 12961481,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    42616785, 57538092, 10368192, 11582341, 110820435, 31309143, 83642793, 8206995,
-                    104023076, 28394792,
-                ]),
-                y_minus_x: FieldElement2625([
-                    55987368, 30172197, 2307365, 6362031, 66973409, 8868176, 50273234, 7031274,
-                    7589640, 8945490,
-                ]),
-                xy2d: FieldElement2625([
-                    34956097, 8917966, 6661220, 21876816, 65916803, 17761038, 7251488, 22372252,
-                    24099108, 19098262,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    72128384, 25646961, 71352990, 18840075, 107284455, 40007595, 47990681,
-                    20265406, 127985831, 56828126,
-                ]),
-                y_minus_x: FieldElement2625([
-                    10853575, 10721687, 26480089, 5861829, 44113045, 1972174, 65242217, 22996533,
-                    63745412, 27113307,
-                ]),
-                xy2d: FieldElement2625([
-                    50106456, 5906789, 221599, 26991285, 7828207, 20305514, 24362660, 31546264,
-                    53242455, 7421391,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    75248772, 27007934, 99366509, 27663885, 97484582, 1886180, 113042620, 48995682,
-                    95935221, 29431402,
-                ]),
-                y_minus_x: FieldElement2625([
-                    6267067, 9695052, 7709135, 16950835, 34239795, 31668296, 14795159, 25714308,
-                    13746020, 31812384,
-                ]),
-                xy2d: FieldElement2625([
-                    28584883, 7787108, 60375922, 18503702, 22846040, 25983196, 63926927, 33190907,
-                    4771361, 25134474,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    92058101, 6376278, 39642383, 25379823, 48462709, 23623825, 100652432, 54967168,
-                    70678489, 44897024,
-                ]),
-                y_minus_x: FieldElement2625([
-                    26514970, 4740088, 27912651, 3697550, 19331575, 22082093, 6809885, 4608608,
-                    7325975, 18753361,
-                ]),
-                xy2d: FieldElement2625([
-                    55490446, 19000001, 42787651, 7655127, 65739590, 5214311, 39708324, 10258389,
-                    49462170, 25367739,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    11431185, 49377439, 93679108, 47883555, 85138853, 38350513, 35662684, 49135095,
-                    76389221, 29580744,
-                ]),
-                y_minus_x: FieldElement2625([
-                    66948081, 23228174, 44253547, 29249434, 46247496, 19933429, 34297962, 22372809,
-                    51563772, 4387440,
-                ]),
-                xy2d: FieldElement2625([
-                    46309467, 12194511, 3937617, 27748540, 39954043, 9340369, 42594872, 8548136,
-                    20617071, 26072431,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    66170039, 29623845, 58394552, 49679149, 91711988, 27329038, 53333511, 55233041,
-                    91454545, 10325459,
-                ]),
-                y_minus_x: FieldElement2625([
-                    47253587, 31985546, 44906155, 8714033, 14007766, 6928528, 16318175, 32543743,
-                    4766742, 3552007,
-                ]),
-                xy2d: FieldElement2625([
-                    45357481, 16823515, 1351762, 32751011, 63099193, 3950934, 3217514, 14481909,
-                    10988822, 29559670,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    15564288, 19242862, 70210106, 39238579, 97555643, 25503075, 79785990, 27049088,
-                    58813011, 46850436,
-                ]),
-                y_minus_x: FieldElement2625([
-                    57666574, 6624295, 36809900, 21640754, 62437882, 31497052, 31521203, 9614054,
-                    37108040, 12074673,
-                ]),
-                xy2d: FieldElement2625([
-                    4771172, 33419193, 14290748, 20464580, 27992297, 14998318, 65694928, 31997715,
-                    29832612, 17163397,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    7064865, 59567690, 115055764, 62041325, 48217593, 30641695, 92934105, 38847728,
-                    39986203, 46656021,
-                ]),
-                y_minus_x: FieldElement2625([
-                    64810282, 2439669, 59642254, 1719964, 39841323, 17225986, 32512468, 28236839,
-                    36752793, 29363474,
-                ]),
-                xy2d: FieldElement2625([
-                    37102324, 10162315, 33928688, 3981722, 50626726, 20484387, 14413973, 9515896,
-                    19568978, 9628812,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    33053784, 33753789, 83003454, 35137490, 94489106, 28973996, 49269969, 61002024,
-                    60817076, 36992171,
-                ]),
-                y_minus_x: FieldElement2625([
-                    48129987, 3884492, 19469877, 12726490, 15913552, 13614290, 44147131, 70103,
-                    7463304, 4176122,
-                ]),
-                xy2d: FieldElement2625([
-                    39984863, 10659916, 11482427, 17484051, 12771466, 26919315, 34389459, 28231680,
-                    24216881, 5944158,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    76002989, 41005405, 64444714, 57343111, 106137209, 21165315, 19345745,
-                    48235228, 78741856, 5847884,
-                ]),
-                y_minus_x: FieldElement2625([
-                    26942781, 31239115, 9129563, 28647825, 26024104, 11769399, 55590027, 6367193,
-                    57381634, 4782139,
-                ]),
-                xy2d: FieldElement2625([
-                    19916442, 28726022, 44198159, 22140040, 25606323, 27581991, 33253852, 8220911,
-                    6358847, 31680575,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    67910273, 31472729, 16569427, 44619599, 29875703, 33651059, 75017251, 29073951,
-                    53570360, 34941586,
-                ]),
-                y_minus_x: FieldElement2625([
-                    19646058, 5720633, 55692158, 12814208, 11607948, 12749789, 14147075, 15156355,
-                    45242033, 11835259,
-                ]),
-                xy2d: FieldElement2625([
-                    19299512, 1155910, 28703737, 14890794, 2925026, 7269399, 26121523, 15467869,
-                    40548314, 5052482,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    64091413, 43612637, 69089700, 37518674, 22160965, 12322533, 60677741, 20936246,
-                    12228556, 26550755,
-                ]),
-                y_minus_x: FieldElement2625([
-                    32944382, 14922211, 44263970, 5188527, 21913450, 24834489, 4001464, 13238564,
-                    60994061, 8653814,
-                ]),
-                xy2d: FieldElement2625([
-                    22865569, 28901697, 27603667, 21009037, 14348957, 8234005, 24808405, 5719875,
-                    28483275, 2841751,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    117796741, 32441125, 66781144, 21446575, 21886281, 51556090, 65220896,
-                    33238773, 87040921, 20815228,
-                ]),
-                y_minus_x: FieldElement2625([
-                    55452759, 10087520, 58243976, 28018288, 47830290, 30498519, 3999227, 13239134,
-                    62331395, 19644223,
-                ]),
-                xy2d: FieldElement2625([
-                    1382174, 21859713, 17266789, 9194690, 53784508, 9720080, 20403944, 11284705,
-                    53095046, 3093229,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    83759766, 56070931, 66044684, 35125060, 58779117, 40907184, 66806439, 16271224,
-                    43059443, 26862581,
-                ]),
-                y_minus_x: FieldElement2625([
-                    45197768, 27626490, 62497547, 27994275, 35364760, 22769138, 24123613, 15193618,
-                    45456747, 16815042,
-                ]),
-                xy2d: FieldElement2625([
-                    57172930, 29264984, 41829040, 4372841, 2087473, 10399484, 31870908, 14690798,
-                    17361620, 11864968,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    55801216, 39764803, 80315437, 39360751, 105200035, 19587230, 54777658,
-                    26067830, 41530403, 50868174,
-                ]),
-                y_minus_x: FieldElement2625([
-                    14668443, 21284197, 26039038, 15305210, 25515617, 4542480, 10453892, 6577524,
-                    9145645, 27110552,
-                ]),
-                xy2d: FieldElement2625([
-                    5974855, 3053895, 57675815, 23169240, 35243739, 3225008, 59136222, 3936127,
-                    61456591, 30504127,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    97734231, 28825031, 41552902, 20761565, 46624288, 41249530, 17097187, 50805368,
-                    106217947, 35358062,
-                ]),
-                y_minus_x: FieldElement2625([
-                    63555773, 9865098, 61880298, 4272700, 61435032, 16864731, 14911343, 12196514,
-                    45703375, 7047411,
-                ]),
-                xy2d: FieldElement2625([
-                    20093258, 9920966, 55970670, 28210574, 13161586, 12044805, 34252013, 4124600,
-                    34765036, 23296865,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    46320021, 14084653, 53577151, 41396578, 19119037, 19731827, 71861240, 24839791,
-                    45429205, 35842469,
-                ]),
-                y_minus_x: FieldElement2625([
-                    40289628, 30270716, 29965058, 3039786, 52635099, 2540456, 29457502, 14625692,
-                    42289247, 12570231,
-                ]),
-                xy2d: FieldElement2625([
-                    66045306, 22002608, 16920317, 12494842, 1278292, 27685323, 45948920, 30055751,
-                    55134159, 4724942,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    85069815, 21778897, 62967895, 23851901, 58232301, 32143814, 54201480, 24894499,
-                    104641427, 35458286,
-                ]),
-                y_minus_x: FieldElement2625([
-                    23134274, 19275300, 56426866, 31942495, 20684484, 15770816, 54119114, 3190295,
-                    26955097, 14109738,
-                ]),
-                xy2d: FieldElement2625([
-                    15308788, 5320727, 36995055, 19235554, 22902007, 7767164, 29425325, 22276870,
-                    31960941, 11934971,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    39713134, 41990227, 71218507, 12222638, 109589860, 14818667, 87747037,
-                    38429459, 77600255, 34934149,
-                ]),
-                y_minus_x: FieldElement2625([
-                    53949449, 9197840, 3875503, 24618324, 65725151, 27674630, 33518458, 16176658,
-                    21432314, 12180697,
-                ]),
-                xy2d: FieldElement2625([
-                    55321537, 11500837, 13787581, 19721842, 44678184, 10140204, 1465425, 12689540,
-                    56807545, 19681548,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    72522936, 18168390, 46101199, 43198001, 79943833, 34740580, 64485947, 32212200,
-                    26128230, 39587344,
-                ]),
-                y_minus_x: FieldElement2625([
-                    40771450, 19788269, 32496024, 19900513, 17847800, 20885276, 3604024, 8316894,
-                    41233830, 23117073,
-                ]),
-                xy2d: FieldElement2625([
-                    3296484, 6223048, 24680646, 21307972, 44056843, 5903204, 58246567, 28915267,
-                    12376616, 3188849,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    29190450, 18895386, 27549112, 32370916, 70628929, 22857130, 32049514, 26245319,
-                    50999629, 57256556,
-                ]),
-                y_minus_x: FieldElement2625([
-                    52364359, 24245275, 735817, 32955454, 46701176, 28496527, 25246077, 17758763,
-                    18640740, 32593455,
-                ]),
-                xy2d: FieldElement2625([
-                    60180029, 17123636, 10361373, 5642961, 4910474, 12345252, 35470478, 33060001,
-                    10530746, 1053335,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    104951742, 52922057, 120679510, 54991489, 47651803, 56453479, 102755357,
-                    30605445, 24018830, 48581076,
-                ]),
-                y_minus_x: FieldElement2625([
-                    44516310, 30409154, 64819587, 5953842, 53668675, 9425630, 25310643, 13003497,
-                    64794073, 18408815,
-                ]),
-                xy2d: FieldElement2625([
-                    39688860, 32951110, 59064879, 31885314, 41016598, 13987818, 39811242, 187898,
-                    43942445, 31022696,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    45364447, 19743956, 68953703, 38575859, 123783328, 17642957, 76825530,
-                    49821353, 62038646, 34280530,
-                ]),
-                y_minus_x: FieldElement2625([
-                    29370903, 27500434, 7334070, 18212173, 9385286, 2247707, 53446902, 28714970,
-                    30007387, 17731091,
-                ]),
-                xy2d: FieldElement2625([
-                    66172485, 16086690, 23751945, 33011114, 65941325, 28365395, 9137108, 730663,
-                    9835848, 4555336,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    43732410, 34964877, 44855110, 54209249, 97976497, 49381408, 17693929, 34099128,
-                    55123565, 45977077,
-                ]),
-                y_minus_x: FieldElement2625([
-                    31117226, 21338698, 53606025, 6561946, 57231997, 20796761, 61990178, 29457725,
-                    29120152, 13924425,
-                ]),
-                xy2d: FieldElement2625([
-                    49707966, 19321222, 19675798, 30819676, 56101901, 27695611, 57724924, 22236731,
-                    7240930, 33317044,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    35747087, 22207651, 119210280, 27698212, 111764387, 54956091, 68331198,
-                    37943914, 70402500, 51557120,
-                ]),
-                y_minus_x: FieldElement2625([
-                    50424044, 19110186, 11038543, 11054958, 53307689, 30215898, 42789283, 7733546,
-                    12796905, 27218610,
-                ]),
-                xy2d: FieldElement2625([
-                    58349431, 22736595, 41689999, 10783768, 36493307, 23807620, 38855524, 3647835,
-                    3222231, 22393970,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    85714958, 35247531, 108769341, 51938590, 71221215, 43599452, 23603892,
-                    31506198, 59558087, 36039416,
-                ]),
-                y_minus_x: FieldElement2625([
-                    9255298, 30423235, 54952701, 32550175, 13098012, 24339566, 16377219, 31451620,
-                    47306788, 30519729,
-                ]),
-                xy2d: FieldElement2625([
-                    44379556, 7496159, 61366665, 11329248, 19991973, 30206930, 35390715, 9936965,
-                    37011176, 22935634,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    88987435, 28553134, 71447199, 47198328, 64071998, 13160959, 86817760, 5415496,
-                    59748361, 29445138,
-                ]),
-                y_minus_x: FieldElement2625([
-                    27736842, 10103576, 12500508, 8502413, 63695848, 23920873, 10436917, 32004156,
-                    43449720, 25422331,
-                ]),
-                xy2d: FieldElement2625([
-                    19492550, 21450067, 37426887, 32701801, 63900692, 12403436, 30066266, 8367329,
-                    13243957, 8709688,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    79123950, 36355692, 95306994, 10151020, 91926984, 28811298, 55914672, 27908697,
-                    72259831, 40828617,
-                ]),
-                y_minus_x: FieldElement2625([
-                    2831347, 21062286, 1478974, 6122054, 23825128, 20820846, 31097298, 6083058,
-                    31021603, 23760822,
-                ]),
-                xy2d: FieldElement2625([
-                    64578913, 31324785, 445612, 10720828, 53259337, 22048494, 43601132, 16354464,
-                    15067285, 19406725,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    74949787, 47592304, 100852864, 49488446, 66380650, 29911725, 88512851,
-                    34612017, 47729401, 21151211,
-                ]),
-                y_minus_x: FieldElement2625([
-                    915865, 17085158, 15608284, 24765302, 42751837, 6060029, 49737545, 8410996,
-                    59888403, 16527024,
-                ]),
-                xy2d: FieldElement2625([
-                    32922597, 32997445, 20336073, 17369864, 10903704, 28169945, 16957573, 52992,
-                    23834301, 6588044,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    32752011, 44787382, 70490858, 24839565, 22652987, 22810329, 17159698, 50243539,
-                    46794283, 32248439,
-                ]),
-                y_minus_x: FieldElement2625([
-                    62419196, 9166775, 41398568, 22707125, 11576751, 12733943, 7924251, 30802151,
-                    1976122, 26305405,
-                ]),
-                xy2d: FieldElement2625([
-                    21251203, 16309901, 64125849, 26771309, 30810596, 12967303, 156041, 30183180,
-                    12331344, 25317235,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    75760459, 29077399, 118132091, 28557436, 80111370, 36505236, 96163290,
-                    28447461, 77116999, 28886530,
-                ]),
-                y_minus_x: FieldElement2625([
-                    31486061, 15114593, 52847614, 12951353, 14369431, 26166587, 16347320, 19892343,
-                    8684154, 23021480,
-                ]),
-                xy2d: FieldElement2625([
-                    19443825, 11385320, 24468943, 23895364, 43189605, 2187568, 40845657, 27467510,
-                    31316347, 14219878,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    38514355, 1193784, 99354083, 11392484, 31092169, 49277233, 94254877, 40546840,
-                    29126554, 42761822,
-                ]),
-                y_minus_x: FieldElement2625([
-                    32382916, 1110093, 18477781, 11028262, 39697101, 26006320, 62128346, 10843781,
-                    59151264, 19118701,
-                ]),
-                xy2d: FieldElement2625([
-                    2814918, 7836403, 27519878, 25686276, 46214848, 22000742, 45614304, 8550129,
-                    28346258, 1994730,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    47530546, 41639976, 53108344, 29605809, 69894701, 17323124, 47591912, 40729325,
-                    22628101, 41669612,
-                ]),
-                y_minus_x: FieldElement2625([
-                    36703732, 955510, 55975026, 18476362, 34661776, 20276352, 41457285, 3317159,
-                    57165847, 930271,
-                ]),
-                xy2d: FieldElement2625([
-                    51805164, 26720662, 28856489, 1357446, 23421993, 1057177, 24091212, 32165462,
-                    44343487, 22903716,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    44357614, 28250434, 54201256, 54339997, 51297351, 25757378, 52269845, 50554643,
-                    65241844, 41953401,
-                ]),
-                y_minus_x: FieldElement2625([
-                    35139535, 2106402, 62372504, 1362500, 12813763, 16200670, 22981545, 27263159,
-                    18009407, 17781660,
-                ]),
-                xy2d: FieldElement2625([
-                    49887941, 24009210, 39324209, 14166834, 29815394, 7444469, 29551787, 29827013,
-                    19288548, 1325865,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    82209002, 51273111, 110293748, 32549332, 107767535, 49063838, 79485593,
-                    30075285, 100274970, 25511681,
-                ]),
-                y_minus_x: FieldElement2625([
-                    20909212, 13023121, 57899112, 16251777, 61330449, 25459517, 12412150, 10018715,
-                    2213263, 19676059,
-                ]),
-                xy2d: FieldElement2625([
-                    32529814, 22479743, 30361438, 16864679, 57972923, 1513225, 22922121, 6382134,
-                    61341936, 8371347,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    77032307, 44825931, 79725657, 37099153, 104219359, 31832804, 12891686,
-                    25361300, 40665920, 44040575,
-                ]),
-                y_minus_x: FieldElement2625([
-                    44511638, 26541766, 8587002, 25296571, 4084308, 20584370, 361725, 2610596,
-                    43187334, 22099236,
-                ]),
-                xy2d: FieldElement2625([
-                    5408392, 32417741, 62139741, 10561667, 24145918, 14240566, 31319731, 29318891,
-                    19985174, 30118346,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    53114388, 50171252, 81658109, 36895530, 99264821, 13648975, 49531796, 8849296,
-                    67173894, 41925115,
-                ]),
-                y_minus_x: FieldElement2625([
-                    58787919, 21504805, 31204562, 5839400, 46481576, 32497154, 47665921, 6922163,
-                    12743482, 23753914,
-                ]),
-                xy2d: FieldElement2625([
-                    64747493, 12678784, 28815050, 4759974, 43215817, 4884716, 23783145, 11038569,
-                    18800704, 255233,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    61839168, 31780545, 13957885, 41545147, 23132994, 34283205, 80502710, 42621388,
-                    86367551, 52355070,
-                ]),
-                y_minus_x: FieldElement2625([
-                    64172210, 22726896, 56676774, 14516792, 63468078, 4372540, 35173943, 2209389,
-                    65584811, 2055793,
-                ]),
-                xy2d: FieldElement2625([
-                    580882, 16705327, 5468415, 30871414, 36182444, 18858431, 59905517, 24560042,
-                    37087844, 7394434,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    90947654, 35377159, 118479284, 48797157, 75426955, 29821327, 45436683,
-                    30062226, 62287122, 48354352,
-                ]),
-                y_minus_x: FieldElement2625([
-                    13345610, 9759151, 3371034, 17416641, 16353038, 8577942, 31129804, 13496856,
-                    58052846, 7402517,
-                ]),
-                xy2d: FieldElement2625([
-                    2286874, 29118501, 47066405, 31546095, 53412636, 5038121, 11006906, 17794080,
-                    8205060, 1607563,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    81522931, 25552299, 70440693, 63900646, 89358013, 27960243, 85473524, 30647473,
-                    30019586, 24525154,
-                ]),
-                y_minus_x: FieldElement2625([
-                    39420813, 1585952, 56333811, 931068, 37988643, 22552112, 52698034, 12029092,
-                    9944378, 8024,
-                ]),
-                xy2d: FieldElement2625([
-                    4368715, 29844802, 29874199, 18531449, 46878477, 22143727, 50994269, 32555346,
-                    58966475, 5640029,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    77408455, 13746482, 11661824, 16234854, 74739102, 5998373, 76918751, 16859867,
-                    82328661, 19226648,
-                ]),
-                y_minus_x: FieldElement2625([
-                    27425505, 27835351, 3055005, 10660664, 23458024, 595578, 51710259, 32381236,
-                    48766680, 9742716,
-                ]),
-                xy2d: FieldElement2625([
-                    6744077, 2427284, 26042789, 2720740, 66260958, 1118973, 32324614, 7406442,
-                    12420155, 1994844,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    81121366, 62084143, 115833273, 23975961, 107732385, 29617991, 121184249,
-                    22644627, 91428792, 27108098,
-                ]),
-                y_minus_x: FieldElement2625([
-                    16412671, 29047065, 10772640, 15929391, 50040076, 28895810, 10555944, 23070383,
-                    37006495, 28815383,
-                ]),
-                xy2d: FieldElement2625([
-                    22397363, 25786748, 57815702, 20761563, 17166286, 23799296, 39775798, 6199365,
-                    21880021, 21303672,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    62825538, 5368522, 35991846, 41717820, 103894664, 36763558, 83666014, 42445160,
-                    75949308, 38512191,
-                ]),
-                y_minus_x: FieldElement2625([
-                    51661137, 709326, 60189418, 22684253, 37330941, 6522331, 45388683, 12130071,
-                    52312361, 5005756,
-                ]),
-                xy2d: FieldElement2625([
-                    64994094, 19246303, 23019041, 15765735, 41839181, 6002751, 10183197, 20315106,
-                    50713577, 31378319,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    115191953, 35186435, 80575154, 59113763, 110577275, 16573535, 35094956,
-                    30497327, 22208661, 35554900,
-                ]),
-                y_minus_x: FieldElement2625([
-                    3065054, 32141671, 41510189, 33192999, 49425798, 27851016, 58944651, 11248526,
-                    63417650, 26140247,
-                ]),
-                xy2d: FieldElement2625([
-                    10379208, 27508878, 8877318, 1473647, 37817580, 21046851, 16690914, 2553332,
-                    63976176, 16400288,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    82825513, 34808697, 115745037, 41000704, 58659945, 6344163, 45011593, 26268851,
-                    26894936, 42686498,
-                ]),
-                y_minus_x: FieldElement2625([
-                    24158868, 12938817, 11085297, 25376834, 39045385, 29097348, 36532400, 64451,
-                    60291780, 30861549,
-                ]),
-                xy2d: FieldElement2625([
-                    13488534, 7794716, 22236231, 5989356, 25426474, 20976224, 2350709, 30135921,
-                    62420857, 2364225,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    83443897, 9132433, 92749446, 40233319, 68834491, 42072368, 55301839, 21856974,
-                    15445874, 25756331,
-                ]),
-                y_minus_x: FieldElement2625([
-                    29004188, 25687351, 28661401, 32914020, 54314860, 25611345, 31863254, 29418892,
-                    66830813, 17795152,
-                ]),
-                xy2d: FieldElement2625([
-                    60986784, 18687766, 38493958, 14569918, 56250865, 29962602, 10343411, 26578142,
-                    37280576, 22738620,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    94190495, 37018415, 14099041, 29036828, 68725166, 27348827, 96651499, 15372178,
-                    84402661, 34515140,
-                ]),
-                y_minus_x: FieldElement2625([
-                    20263915, 11434237, 61343429, 11236809, 13505955, 22697330, 50997518, 6493121,
-                    47724353, 7639713,
-                ]),
-                xy2d: FieldElement2625([
-                    64278047, 18715199, 25403037, 25339236, 58791851, 17380732, 18006286, 17510682,
-                    29994676, 17746311,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    76878673, 38757082, 110060329, 19923038, 106166724, 21992806, 42495722,
-                    53248081, 35924287, 34263895,
-                ]),
-                y_minus_x: FieldElement2625([
-                    12286395, 13076066, 45333675, 32377809, 42105665, 4057651, 35090736, 24663557,
-                    16102006, 13205847,
-                ]),
-                xy2d: FieldElement2625([
-                    13733362, 5599946, 10557076, 3195751, 61550873, 8536969, 41568694, 8525971,
-                    10151379, 10394400,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    71133505, 17416880, 89545125, 12276533, 58009849, 64422764, 86807091, 11743038,
-                    100915394, 42488844,
-                ]),
-                y_minus_x: FieldElement2625([
-                    51229064, 29029191, 58528116, 30620370, 14634844, 32856154, 57659786, 3137093,
-                    55571978, 11721157,
-                ]),
-                xy2d: FieldElement2625([
-                    17555920, 28540494, 8268605, 2331751, 44370049, 9761012, 9319229, 8835153,
-                    57903375, 32274386,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    66647436, 25724417, 87722981, 16688287, 59594098, 28747312, 89409167, 34059860,
-                    73217325, 27371016,
-                ]),
-                y_minus_x: FieldElement2625([
-                    62038564, 12367916, 36445330, 3234472, 32617080, 25131790, 29880582, 20071101,
-                    40210373, 25686972,
-                ]),
-                xy2d: FieldElement2625([
-                    35133562, 5726538, 26934134, 10237677, 63935147, 32949378, 24199303, 3795095,
-                    7592688, 18562353,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    21594413, 18590204, 84575271, 63031641, 32537082, 36294330, 73516586, 12018832,
-                    38852812, 37852843,
-                ]),
-                y_minus_x: FieldElement2625([
-                    46458361, 21592935, 39872588, 570497, 3767144, 31836892, 13891941, 31985238,
-                    13717173, 10805743,
-                ]),
-                xy2d: FieldElement2625([
-                    52432215, 17910135, 15287173, 11927123, 24177847, 25378864, 66312432, 14860608,
-                    40169934, 27690595,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    80071405, 38866230, 57048095, 45212711, 85964149, 25600230, 80395126, 54300159,
-                    62727806, 9882021,
-                ]),
-                y_minus_x: FieldElement2625([
-                    18512060, 11319350, 46985740, 15090308, 18818594, 5271736, 44380960, 3666878,
-                    43141434, 30255002,
-                ]),
-                xy2d: FieldElement2625([
-                    60319844, 30408388, 16192428, 13241070, 15898607, 19348318, 57023983, 26893321,
-                    64705764, 5276064,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    97278672, 28236783, 93415069, 55358004, 94923826, 40623698, 74261714, 37239413,
-                    68558087, 13082860,
-                ]),
-                y_minus_x: FieldElement2625([
-                    10342807, 3098505, 2119311, 193222, 25702612, 12233820, 23697382, 15056736,
-                    46092426, 25352431,
-                ]),
-                xy2d: FieldElement2625([
-                    33958735, 3261607, 22745853, 7948688, 19370557, 18376767, 40936887, 6482813,
-                    56808784, 22494330,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    32869439, 61700319, 25609741, 49233102, 56421094, 51637792, 26112419, 36075440,
-                    44444575, 40459246,
-                ]),
-                y_minus_x: FieldElement2625([
-                    29506904, 4457497, 3377935, 23757988, 36598817, 12935079, 1561737, 3841096,
-                    38105225, 26896789,
-                ]),
-                xy2d: FieldElement2625([
-                    10340844, 26924055, 48452231, 31276001, 12621150, 20215377, 30878496, 21730062,
-                    41524312, 5181965,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    25940096, 20896407, 17324187, 56801490, 58437394, 15029093, 91505116, 17103509,
-                    64786011, 21165857,
-                ]),
-                y_minus_x: FieldElement2625([
-                    45343161, 9916822, 65808455, 4079497, 66080518, 11909558, 1782390, 12641087,
-                    20603771, 26992690,
-                ]),
-                xy2d: FieldElement2625([
-                    48226577, 21881051, 24849421, 11501709, 13161720, 28785558, 1925522, 11914390,
-                    4662781, 7820689,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    79349895, 33128449, 75241554, 42948365, 32846759, 31954812, 29749455, 45727356,
-                    83245615, 48818451,
-                ]),
-                y_minus_x: FieldElement2625([
-                    56758909, 18873868, 58896884, 2330219, 49446315, 19008651, 10658212, 6671822,
-                    19012087, 3772772,
-                ]),
-                xy2d: FieldElement2625([
-                    3753511, 30133366, 10617073, 2028709, 14841030, 26832768, 28718731, 17791548,
-                    20527770, 12988982,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    52286341, 27757162, 63400876, 12689772, 66209881, 22639565, 110034681,
-                    56543919, 70408527, 54683910,
-                ]),
-                y_minus_x: FieldElement2625([
-                    50331161, 18301130, 57466446, 4978982, 3308785, 8755439, 6943197, 6461331,
-                    41525717, 8991217,
-                ]),
-                xy2d: FieldElement2625([
-                    49882601, 1816361, 65435576, 27467992, 31783887, 25378441, 34160718, 7417949,
-                    36866577, 1507264,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    29692644, 40384323, 56610063, 37889327, 88054838, 21647935, 38221255, 41763822,
-                    14606361, 22907359,
-                ]),
-                y_minus_x: FieldElement2625([
-                    63627275, 8707080, 32188102, 5672294, 22096700, 1711240, 34088169, 9761486,
-                    4170404, 31469107,
-                ]),
-                xy2d: FieldElement2625([
-                    55521375, 14855944, 62981086, 32022574, 40459774, 15084045, 22186522, 16002000,
-                    52832027, 25153633,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    62297389, 47315460, 35404986, 31070512, 63796392, 41423478, 59995291, 23934339,
-                    80349708, 44520301,
-                ]),
-                y_minus_x: FieldElement2625([
-                    59366301, 25297669, 52340529, 19898171, 43876480, 12387165, 4498947, 14147411,
-                    29514390, 4302863,
-                ]),
-                xy2d: FieldElement2625([
-                    53695440, 21146572, 20757301, 19752600, 14785142, 8976368, 62047588, 31410058,
-                    17846987, 19582505,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    64864393, 32799703, 62511833, 32488122, 60861691, 35009730, 112569999,
-                    24339641, 61886162, 46204698,
-                ]),
-                y_minus_x: FieldElement2625([
-                    57202067, 17484121, 21134159, 12198166, 40044289, 708125, 387813, 13770293,
-                    47974538, 10958662,
-                ]),
-                xy2d: FieldElement2625([
-                    22470984, 12369526, 23446014, 28113323, 45588061, 23855708, 55336367, 21979976,
-                    42025033, 4271861,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    109048144, 57055220, 47199530, 48916026, 61124505, 35713623, 67184238,
-                    62830334, 101691505, 42024103,
-                ]),
-                y_minus_x: FieldElement2625([
-                    15854951, 4148314, 58214974, 7259001, 11666551, 13824734, 36577666, 2697371,
-                    24154791, 24093489,
-                ]),
-                xy2d: FieldElement2625([
-                    15446137, 17747788, 29759746, 14019369, 30811221, 23944241, 35526855, 12840103,
-                    24913809, 9815020,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    62399559, 27940162, 35267365, 21265538, 52665326, 44353845, 125114051,
-                    46993199, 85843991, 43020669,
-                ]),
-                y_minus_x: FieldElement2625([
-                    11933045, 9281483, 5081055, 28370608, 64480701, 28648802, 59381042, 22658328,
-                    44380208, 16199063,
-                ]),
-                xy2d: FieldElement2625([
-                    14576810, 379472, 40322331, 25237195, 37682355, 22741457, 67006097, 1876698,
-                    30801119, 2164795,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    15995067, 36754305, 13672554, 13712240, 47730029, 62461217, 121136116,
-                    51612593, 53616055, 34822483,
-                ]),
-                y_minus_x: FieldElement2625([
-                    56818250, 29895392, 63822271, 10948817, 23037027, 3794475, 63638526, 20954210,
-                    50053494, 3565903,
-                ]),
-                xy2d: FieldElement2625([
-                    29210069, 24135095, 61189071, 28601646, 10834810, 20226706, 50596761, 22733718,
-                    39946641, 19523900,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    121055819, 49063018, 83772567, 25398281, 38758921, 42573554, 37925442,
-                    29785008, 69352974, 19552452,
-                ]),
-                y_minus_x: FieldElement2625([
-                    61955989, 29753495, 57802388, 27482848, 16243068, 14684434, 41435776, 17373631,
-                    13491505, 4641841,
-                ]),
-                xy2d: FieldElement2625([
-                    10813398, 643330, 47920349, 32825515, 30292061, 16954354, 27548446, 25833190,
-                    14476988, 20787001,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    77400943, 9984944, 73590300, 41834336, 59857349, 40587174, 27282936, 31910173,
-                    106304917, 12651322,
-                ]),
-                y_minus_x: FieldElement2625([
-                    35923332, 32741048, 22271203, 11835308, 10201545, 15351028, 17099662, 3988035,
-                    21721536, 30405492,
-                ]),
-                xy2d: FieldElement2625([
-                    10202177, 27008593, 35735631, 23979793, 34958221, 25434748, 54202543, 3852693,
-                    13216206, 14842320,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    51293205, 22953365, 60569911, 26295436, 60124204, 26972653, 35608016, 47320255,
-                    106783330, 43454614,
-                ]),
-                y_minus_x: FieldElement2625([
-                    14465486, 19721101, 34974879, 18815558, 39665676, 12990491, 33046193, 15796406,
-                    60056998, 25514317,
-                ]),
-                xy2d: FieldElement2625([
-                    30924398, 25274812, 6359015, 20738097, 16508376, 9071735, 41620263, 15413634,
-                    9524356, 26535554,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    12274182, 20378885, 99736504, 65323537, 73845487, 13267304, 72346523, 28444948,
-                    82772379, 37590215,
-                ]),
-                y_minus_x: FieldElement2625([
-                    64157555, 8903984, 17349946, 601635, 50676049, 28941875, 53376124, 17665097,
-                    44850385, 4659090,
-                ]),
-                xy2d: FieldElement2625([
-                    50192582, 28601458, 36715152, 18395610, 20774811, 15897498, 5736189, 15026997,
-                    64930608, 20098846,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    58249865, 31335375, 28571665, 56953346, 66634395, 23448733, 63307367, 33832526,
-                    23440561, 33264224,
-                ]),
-                y_minus_x: FieldElement2625([
-                    10226222, 27625730, 15139955, 120818, 52241171, 5218602, 32937275, 11551483,
-                    50536904, 26111567,
-                ]),
-                xy2d: FieldElement2625([
-                    17932739, 21117156, 43069306, 10749059, 11316803, 7535897, 22503767, 5561594,
-                    63462240, 3898660,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    74858752, 32584864, 50769132, 33537967, 42090752, 15122142, 65535333, 40706961,
-                    88940025, 34799664,
-                ]),
-                y_minus_x: FieldElement2625([
-                    26958440, 18896406, 4314585, 8346991, 61431100, 11960071, 34519569, 32934396,
-                    36706772, 16838219,
-                ]),
-                xy2d: FieldElement2625([
-                    54942968, 9166946, 33491384, 13673479, 29787085, 13096535, 6280834, 14587357,
-                    44770839, 13987524,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    109867800, 7778773, 88224864, 49127028, 62275597, 28196653, 62807965, 28429792,
-                    59639082, 30696363,
-                ]),
-                y_minus_x: FieldElement2625([
-                    9681908, 26817309, 35157219, 13591837, 60225043, 386949, 31622781, 6439245,
-                    52527852, 4091396,
-                ]),
-                xy2d: FieldElement2625([
-                    58682418, 1470726, 38999185, 31957441, 3978626, 28430809, 47486180, 12092162,
-                    29077877, 18812444,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    72378032, 26694705, 120987516, 25533715, 25932562, 35317984, 61502753,
-                    28048550, 47091016, 2357888,
-                ]),
-                y_minus_x: FieldElement2625([
-                    32264008, 18146780, 61721128, 32394338, 65017541, 29607531, 23104803, 20684524,
-                    5727337, 189038,
-                ]),
-                xy2d: FieldElement2625([
-                    14609104, 24599962, 61108297, 16931650, 52531476, 25810533, 40363694, 10942114,
-                    41219933, 18669734,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    87622345, 39112362, 51504250, 41383962, 93522806, 31535027, 45729895, 41026212,
-                    13913676, 28416557,
-                ]),
-                y_minus_x: FieldElement2625([
-                    41534488, 11967825, 29233242, 12948236, 60354399, 4713226, 58167894, 14059179,
-                    12878652, 8511905,
-                ]),
-                xy2d: FieldElement2625([
-                    41452044, 3393630, 64153449, 26478905, 64858154, 9366907, 36885446, 6812973,
-                    5568676, 30426776,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    78738868, 12144453, 69225203, 47160468, 94487748, 49231348, 49700110, 20050058,
-                    119822531, 8070816,
-                ]),
-                y_minus_x: FieldElement2625([
-                    27117677, 23547054, 35826092, 27984343, 1127281, 12772488, 37262958, 10483305,
-                    55556115, 32525717,
-                ]),
-                xy2d: FieldElement2625([
-                    10637467, 27866368, 5674780, 1072708, 40765276, 26572129, 65424888, 9177852,
-                    39615702, 15431202,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    87633990, 44446997, 121475255, 12779441, 104724694, 16150073, 105977209,
-                    14943140, 52052074, 25618500,
-                ]),
-                y_minus_x: FieldElement2625([
-                    37084402, 5626925, 66557297, 23573344, 753597, 11981191, 25244767, 30314666,
-                    63752313, 9594023,
-                ]),
-                xy2d: FieldElement2625([
-                    43356201, 2636869, 61944954, 23450613, 585133, 7877383, 11345683, 27062142,
-                    13352334, 22577348,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    65177046, 28146973, 70413512, 54223994, 84124668, 62231772, 104433876,
-                    25801948, 53893326, 33235227,
-                ]),
-                y_minus_x: FieldElement2625([
-                    20239939, 6607058, 6203985, 3483793, 48721888, 32775202, 46385121, 15077869,
-                    44358105, 14523816,
-                ]),
-                xy2d: FieldElement2625([
-                    27406023, 27512775, 27423595, 29057038, 4996213, 10002360, 38266833, 29008937,
-                    36936121, 28748764,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    78483087, 12660714, 17861383, 21013599, 78044431, 34653658, 53222787, 24462691,
-                    106490683, 44912934,
-                ]),
-                y_minus_x: FieldElement2625([
-                    54378055, 10311866, 1510375, 10778093, 64989409, 24408729, 32676002, 11149336,
-                    40985213, 4985767,
-                ]),
-                xy2d: FieldElement2625([
-                    48012542, 341146, 60911379, 33315398, 15756972, 24757770, 66125820, 13794113,
-                    47694557, 17933176,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    73598907, 45494717, 25495922, 59382504, 75777235, 24803115, 70476466, 40524436,
-                    65417798, 58104073,
-                ]),
-                y_minus_x: FieldElement2625([
-                    1656478, 13457317, 15370807, 6364910, 13605745, 8362338, 47934242, 28078708,
-                    50312267, 28522993,
-                ]),
-                xy2d: FieldElement2625([
-                    44835530, 20030007, 67044178, 29220208, 48503227, 22632463, 46537798, 26546453,
-                    67009010, 23317098,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    84856310, 43593691, 86477162, 29503840, 46478228, 51067577, 99101545, 17696455,
-                    104957364, 28042459,
-                ]),
-                y_minus_x: FieldElement2625([
-                    31932008, 28568291, 47496481, 16366579, 22023614, 88450, 11371999, 29810185,
-                    4882241, 22927527,
-                ]),
-                xy2d: FieldElement2625([
-                    29796488, 37186, 19818052, 10115756, 55279832, 3352735, 18551198, 3272828,
-                    61917932, 29392022,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    12501267, 4044383, 58495907, 53716478, 101787674, 38691029, 47878485, 30024734,
-                    330069, 29895023,
-                ]),
-                y_minus_x: FieldElement2625([
-                    6384877, 2899513, 17807477, 7663917, 64749976, 12363164, 25366522, 24980540,
-                    66837568, 12071498,
-                ]),
-                xy2d: FieldElement2625([
-                    58743349, 29511910, 25133447, 29037077, 60897836, 2265926, 34339246, 1936674,
-                    61949167, 3829362,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    28425947, 27718999, 66531773, 28857233, 120000172, 40425360, 75030413,
-                    26986644, 26333139, 47822096,
-                ]),
-                y_minus_x: FieldElement2625([
-                    56041645, 11871230, 27385719, 22994888, 62522949, 22365119, 10004785, 24844944,
-                    45347639, 8930323,
-                ]),
-                xy2d: FieldElement2625([
-                    45911060, 17158396, 25654215, 31829035, 12282011, 11008919, 1541940, 4757911,
-                    40617363, 17145491,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    80646107, 25794941, 113612887, 44516357, 61186043, 20336366, 53952279,
-                    39771685, 118274028, 47369420,
-                ]),
-                y_minus_x: FieldElement2625([
-                    49686272, 15157789, 18705543, 29619, 24409717, 33293956, 27361680, 9257833,
-                    65152338, 31777517,
-                ]),
-                xy2d: FieldElement2625([
-                    42063564, 23362465, 15366584, 15166509, 54003778, 8423555, 37937324, 12361134,
-                    48422886, 4578289,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    91688613, 3711569, 68451186, 22374305, 107212592, 47679386, 44564334, 14074918,
-                    21964432, 41789689,
-                ]),
-                y_minus_x: FieldElement2625([
-                    60580251, 31142934, 9442965, 27628844, 12025639, 32067012, 64127349, 31885225,
-                    13006805, 2355433,
-                ]),
-                xy2d: FieldElement2625([
-                    50803946, 19949172, 60476436, 28412082, 16974358, 22643349, 27202043, 1719366,
-                    1141648, 20758196,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    54244901, 53888877, 58790596, 56090772, 60298717, 28710537, 13475065, 30420460,
-                    32674894, 47269477,
-                ]),
-                y_minus_x: FieldElement2625([
-                    11423316, 28086373, 32344215, 8962751, 24989809, 9241752, 53843611, 16086211,
-                    38367983, 17912338,
-                ]),
-                xy2d: FieldElement2625([
-                    65699196, 12530727, 60740138, 10847386, 19531186, 19422272, 55399715, 7791793,
-                    39862921, 4383346,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    38137947, 38825878, 65842854, 23817442, 121762491, 50287029, 62246456,
-                    62202414, 27193555, 39799623,
-                ]),
-                y_minus_x: FieldElement2625([
-                    51914908, 5362277, 65324971, 2695833, 4960227, 12840725, 23061898, 3260492,
-                    22510453, 8577507,
-                ]),
-                xy2d: FieldElement2625([
-                    54476394, 11257345, 34415870, 13548176, 66387860, 10879010, 31168030, 13952092,
-                    37537372, 29918525,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    70986166, 23981692, 99525555, 38959755, 56104456, 19897796, 70868632, 45489751,
-                    72720723, 41718449,
-                ]),
-                y_minus_x: FieldElement2625([
-                    50833043, 14667796, 15906460, 12155291, 44997715, 24514713, 32003001, 24722143,
-                    5773084, 25132323,
-                ]),
-                xy2d: FieldElement2625([
-                    43320746, 25300131, 1950874, 8937633, 18686727, 16459170, 66203139, 12376319,
-                    31632953, 190926,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    109624102, 17415545, 58684872, 13378745, 81271271, 6901327, 58820115, 38062995,
-                    41767308, 29926903,
-                ]),
-                y_minus_x: FieldElement2625([
-                    8884438, 27670423, 6023973, 10104341, 60227295, 28612898, 18722940, 18768427,
-                    65436375, 827624,
-                ]),
-                xy2d: FieldElement2625([
-                    34388281, 17265135, 34605316, 7101209, 13354605, 2659080, 65308289, 19446395,
-                    42230385, 1541285,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    70010192, 32436744, 70989239, 57049475, 116596786, 29941649, 45306746,
-                    29986950, 87565708, 31669398,
-                ]),
-                y_minus_x: FieldElement2625([
-                    27019610, 12299467, 53450576, 31951197, 54247203, 28692960, 47568713, 28538373,
-                    29439640, 15138866,
-                ]),
-                xy2d: FieldElement2625([
-                    21536104, 26928012, 34661045, 22864223, 44700786, 5175813, 61688824, 17193268,
-                    7779327, 109896,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    97388589, 48203181, 59063992, 39979989, 80748484, 32810922, 28698389, 45734550,
-                    23177718, 33000357,
-                ]),
-                y_minus_x: FieldElement2625([
-                    26572828, 3405927, 35407164, 12890904, 47843196, 5335865, 60615096, 2378491,
-                    4439158, 20275085,
-                ]),
-                xy2d: FieldElement2625([
-                    44392139, 3489069, 57883598, 33221678, 18875721, 32414337, 14819433, 20822905,
-                    49391106, 28092994,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    62052362, 50120982, 83062524, 37322183, 56672364, 49181491, 66287909, 35731656,
-                    75658945, 18440266,
-                ]),
-                y_minus_x: FieldElement2625([
-                    48635543, 16596774, 66727204, 15663610, 22860960, 15585581, 39264755, 29971692,
-                    43848403, 25125843,
-                ]),
-                xy2d: FieldElement2625([
-                    34628313, 15707274, 58902952, 27902350, 29464557, 2713815, 44383727, 15860481,
-                    45206294, 1494192,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    47546754, 53021470, 41524990, 24254879, 80236705, 34314140, 21923481, 16529112,
-                    75851568, 46521448,
-                ]),
-                y_minus_x: FieldElement2625([
-                    38643965, 1553204, 32536856, 23080703, 42417258, 33148257, 58194238, 30620535,
-                    37205105, 15553882,
-                ]),
-                xy2d: FieldElement2625([
-                    21877890, 3230008, 9881174, 10539357, 62311749, 2841331, 11543572, 14513274,
-                    19375923, 20906471,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    75941133, 52613378, 80362373, 38692006, 72146734, 37633208, 24880817, 60886148,
-                    69971515, 9455042,
-                ]),
-                y_minus_x: FieldElement2625([
-                    29306751, 5123106, 20245049, 19404543, 9592565, 8447059, 65031740, 30564351,
-                    15511448, 4789663,
-                ]),
-                xy2d: FieldElement2625([
-                    46429108, 7004546, 8824831, 24119455, 63063159, 29803695, 61354101, 108892,
-                    23513200, 16652362,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    100961536, 37699212, 62632834, 26975308, 77878902, 26398889, 60458447,
-                    54172563, 115898528, 43767290,
-                ]),
-                y_minus_x: FieldElement2625([
-                    2756062, 8598110, 7383731, 26694540, 22312758, 32449420, 21179800, 2600940,
-                    57120566, 21047965,
-                ]),
-                xy2d: FieldElement2625([
-                    42463153, 13317461, 36659605, 17900503, 21365573, 22684775, 11344423, 864440,
-                    64609187, 16844368,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    107784906, 6148327, 49924452, 19080277, 85891792, 33278434, 44547329, 33765731,
-                    69828620, 38495428,
-                ]),
-                y_minus_x: FieldElement2625([
-                    65784982, 3911312, 60160120, 14759764, 37081714, 7851206, 21690126, 8518463,
-                    26699843, 5276295,
-                ]),
-                xy2d: FieldElement2625([
-                    53958991, 27125364, 9396248, 365013, 24703301, 23065493, 1321585, 149635,
-                    51656090, 7159368,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    77096625, 30149672, 84616825, 43059961, 76840398, 31388917, 89464872, 41866607,
-                    89586081, 25151046,
-                ]),
-                y_minus_x: FieldElement2625([
-                    18155857, 17049442, 19744715, 9006923, 15154154, 23015456, 24256459, 28689437,
-                    44560690, 9334108,
-                ]),
-                xy2d: FieldElement2625([
-                    2986088, 28642539, 10776627, 30080588, 10620589, 26471229, 45695018, 14253544,
-                    44521715, 536905,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    71486582, 41670267, 91675941, 15495313, 78733938, 46619030, 74499414, 44144056,
-                    77946923, 51688439,
-                ]),
-                y_minus_x: FieldElement2625([
-                    47766460, 867879, 9277171, 30335973, 52677291, 31567988, 19295825, 17757482,
-                    6378259, 699185,
-                ]),
-                xy2d: FieldElement2625([
-                    7895007, 4057113, 60027092, 20476675, 49222032, 33231305, 66392824, 15693154,
-                    62063800, 20180469,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    59371282, 27685029, 119651408, 26147511, 78494517, 46756047, 31730677,
-                    22591592, 63190227, 23885106,
-                ]),
-                y_minus_x: FieldElement2625([
-                    10188286, 17783598, 59772502, 13427542, 22223443, 14896287, 30743455, 7116568,
-                    45322357, 5427592,
-                ]),
-                xy2d: FieldElement2625([
-                    696102, 13206899, 27047647, 22922350, 15285304, 23701253, 10798489, 28975712,
-                    19236242, 12477404,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    55879406, 44798227, 50054593, 25513566, 66320635, 58940896, 63211193, 44734935,
-                    43939347, 41288075,
-                ]),
-                y_minus_x: FieldElement2625([
-                    17800790, 19518253, 40108434, 21787760, 23887826, 3149671, 23466177, 23016261,
-                    10322026, 15313801,
-                ]),
-                xy2d: FieldElement2625([
-                    26246234, 11968874, 32263343, 28085704, 6830754, 20231401, 51314159, 33452449,
-                    42659621, 10890803,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    35743198, 43825794, 54448238, 27287163, 83799070, 54046319, 119235514,
-                    50039361, 92289660, 28219547,
-                ]),
-                y_minus_x: FieldElement2625([
-                    66522290, 10376443, 34522450, 22268075, 19801892, 10997610, 2276632, 9482883,
-                    316878, 13820577,
-                ]),
-                xy2d: FieldElement2625([
-                    57226037, 29044064, 64993357, 16457135, 56008783, 11674995, 30756178, 26039378,
-                    30696929, 29841583,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    100097781, 23951019, 12499365, 41465219, 56491606, 21622917, 59766047,
-                    57123466, 34759345, 7392472,
-                ]),
-                y_minus_x: FieldElement2625([
-                    58253184, 15927860, 9866406, 29905021, 64711949, 16898650, 36699387, 24419436,
-                    25112946, 30627788,
-                ]),
-                xy2d: FieldElement2625([
-                    64604801, 33117465, 25621773, 27875660, 15085041, 28074555, 42223985, 20028237,
-                    5537437, 19640113,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    55883261, 2320284, 57524584, 10149186, 100773065, 5808646, 119341477, 31824763,
-                    98343453, 39645030,
-                ]),
-                y_minus_x: FieldElement2625([
-                    57475529, 116425, 26083934, 2897444, 60744427, 30866345, 609720, 15878753,
-                    60138459, 24519663,
-                ]),
-                xy2d: FieldElement2625([
-                    39351007, 247743, 51914090, 24551880, 23288160, 23542496, 43239268, 6503645,
-                    20650474, 1804084,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    106627923, 49010854, 76081380, 42024039, 82749485, 37994278, 70230858,
-                    56779150, 94951478, 33352103,
-                ]),
-                y_minus_x: FieldElement2625([
-                    51801891, 2839643, 22530074, 10026331, 4602058, 5048462, 28248656, 5031932,
-                    55733782, 12714368,
-                ]),
-                xy2d: FieldElement2625([
-                    20807691, 26283607, 29286140, 11421711, 39232341, 19686201, 45881388, 1035545,
-                    47375635, 12796919,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    79185725, 52807577, 58323861, 21705509, 42096072, 49955115, 49517368, 20654993,
-                    70589528, 51926048,
-                ]),
-                y_minus_x: FieldElement2625([
-                    34747315, 5457596, 28548107, 7833186, 7303070, 21600887, 42745799, 17632556,
-                    33734809, 2771024,
-                ]),
-                xy2d: FieldElement2625([
-                    45719598, 421931, 26597266, 6860826, 22486084, 26817260, 49971378, 29344205,
-                    42556581, 15673396,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    46924223, 35892647, 19788684, 57487908, 63107597, 24813538, 46837679, 38287685,
-                    70836007, 20619983,
-                ]),
-                y_minus_x: FieldElement2625([
-                    6120100, 814863, 55314462, 32931715, 6812204, 17806661, 2019593, 7975683,
-                    31123697, 22595451,
-                ]),
-                xy2d: FieldElement2625([
-                    30069250, 22119100, 30434653, 2958439, 18399564, 32578143, 12296868, 9204260,
-                    50676426, 9648164,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    32705413, 32003455, 97814521, 41005496, 55303257, 43186244, 70414129, 38803035,
-                    108209395, 22176929,
-                ]),
-                y_minus_x: FieldElement2625([
-                    17219846, 2375039, 35537917, 27978816, 47649184, 9219902, 294711, 15298639,
-                    2662509, 17257359,
-                ]),
-                xy2d: FieldElement2625([
-                    65935918, 25995736, 62742093, 29266687, 45762450, 25120105, 32087528, 32331655,
-                    32247247, 19164571,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    14312609, 34775988, 17395389, 58408721, 62163121, 58424228, 106019982,
-                    23916613, 51081240, 20175586,
-                ]),
-                y_minus_x: FieldElement2625([
-                    65680039, 23875441, 57873182, 6549686, 59725795, 33085767, 23046501, 9803137,
-                    17597934, 2346211,
-                ]),
-                xy2d: FieldElement2625([
-                    18510781, 15337574, 26171504, 981392, 44867312, 7827555, 43617730, 22231079,
-                    3059832, 21771562,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    77250443, 39637338, 84938156, 31606788, 76938955, 13613135, 41552228, 28009845,
-                    33606651, 37146527,
-                ]),
-                y_minus_x: FieldElement2625([
-                    33114149, 17665080, 40583177, 20211034, 33076704, 8716171, 1151462, 1521897,
-                    66126199, 26716628,
-                ]),
-                xy2d: FieldElement2625([
-                    34169699, 29298616, 23947180, 33230254, 34035889, 21248794, 50471177, 3891703,
-                    26353178, 693168,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    97483084, 35150011, 117333688, 46741361, 71709207, 33961335, 76694157,
-                    33153763, 31375463, 47924397,
-                ]),
-                y_minus_x: FieldElement2625([
-                    52738210, 25781902, 1510300, 6434173, 48324075, 27291703, 32732229, 20445593,
-                    17901440, 16011505,
-                ]),
-                xy2d: FieldElement2625([
-                    18171223, 21619806, 54608461, 15197121, 56070717, 18324396, 47936623, 17508055,
-                    8764034, 12309598,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    73084753, 28311243, 47649501, 23872684, 55567586, 14015781, 110551971,
-                    34782749, 17544095, 22960650,
-                ]),
-                y_minus_x: FieldElement2625([
-                    5811932, 31839139, 3442886, 31285122, 48741515, 25194890, 49064820, 18144304,
-                    61543482, 12348899,
-                ]),
-                xy2d: FieldElement2625([
-                    35709185, 11407554, 25755363, 6891399, 63851926, 14872273, 42259511, 8141294,
-                    56476330, 32968952,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    121542424, 34248456, 62032718, 46854775, 81124121, 19103037, 124519055,
-                    22225380, 30944592, 1130208,
-                ]),
-                y_minus_x: FieldElement2625([
-                    8247747, 26843490, 40546482, 25845122, 52706924, 18905521, 4652151, 2488540,
-                    23550156, 33283200,
-                ]),
-                xy2d: FieldElement2625([
-                    17294297, 29765994, 7026747, 15626851, 22990044, 113481, 2267737, 27646286,
-                    66700045, 33416712,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    83199930, 17300505, 85708115, 40895109, 69246500, 32332774, 63744702, 48105367,
-                    70369388, 26388160,
-                ]),
-                y_minus_x: FieldElement2625([
-                    62198760, 20221544, 18550886, 10864893, 50649539, 26262835, 44079994, 20349526,
-                    54360141, 2701325,
-                ]),
-                xy2d: FieldElement2625([
-                    58534169, 16099414, 4629974, 17213908, 46322650, 27548999, 57090500, 9276970,
-                    11329923, 1862132,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    14763057, 17650824, 103299457, 3689865, 70620756, 43867957, 45157775, 45773662,
-                    58070900, 32614131,
-                ]),
-                y_minus_x: FieldElement2625([
-                    8894987, 30108338, 6150752, 3013931, 301220, 15693451, 35127648, 30644714,
-                    51670695, 11595569,
-                ]),
-                xy2d: FieldElement2625([
-                    15214943, 3537601, 40870142, 19495559, 4418656, 18323671, 13947275, 10730794,
-                    53619402, 29190761,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    64570539, 41237224, 99867876, 33817540, 104232996, 25598978, 111885603,
-                    23365795, 68085971, 34254425,
-                ]),
-                y_minus_x: FieldElement2625([
-                    54642373, 4195083, 57897332, 550903, 51543527, 12917919, 19118110, 33114591,
-                    36574330, 19216518,
-                ]),
-                xy2d: FieldElement2625([
-                    31788442, 19046775, 4799988, 7372237, 8808585, 18806489, 9408236, 23502657,
-                    12493931, 28145115,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    41428258, 5260743, 47873055, 27269961, 63412921, 16566086, 94327144, 36161552,
-                    29375954, 6024730,
-                ]),
-                y_minus_x: FieldElement2625([
-                    842132, 30759739, 62345482, 24831616, 26332017, 21148791, 11831879, 6985184,
-                    57168503, 2854095,
-                ]),
-                xy2d: FieldElement2625([
-                    62261602, 25585100, 2516241, 27706719, 9695690, 26333246, 16512644, 960770,
-                    12121869, 16648078,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    51890193, 48221527, 53772634, 35568148, 97707150, 33090294, 35603941, 25672367,
-                    20237805, 36392843,
-                ]),
-                y_minus_x: FieldElement2625([
-                    47820798, 4453151, 15298546, 17376044, 22115042, 17581828, 12544293, 20083975,
-                    1068880, 21054527,
-                ]),
-                xy2d: FieldElement2625([
-                    57549981, 17035596, 33238497, 13506958, 30505848, 32439836, 58621956, 30924378,
-                    12521377, 4845654,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    106019188, 44298538, 64150483, 43754095, 74868174, 54020263, 70518210,
-                    32681031, 127735421, 20668560,
-                ]),
-                y_minus_x: FieldElement2625([
-                    43547042, 6230155, 46726851, 10655313, 43068279, 21933259, 10477733, 32314216,
-                    63995636, 13974497,
-                ]),
-                xy2d: FieldElement2625([
-                    12966261, 15550616, 35069916, 31939085, 21025979, 32924988, 5642324, 7188737,
-                    18895762, 12629579,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    14741860, 18607545, 89286071, 21833194, 68388604, 41613031, 11758139, 34343875,
-                    32195180, 37450109,
-                ]),
-                y_minus_x: FieldElement2625([
-                    10758205, 15755439, 62598914, 9243697, 62229442, 6879878, 64904289, 29988312,
-                    58126794, 4429646,
-                ]),
-                xy2d: FieldElement2625([
-                    64654951, 15725972, 46672522, 23143759, 61304955, 22514211, 59972993, 21911536,
-                    18047435, 18272689,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    41935825, 55801698, 29759954, 45331216, 111955344, 51288407, 78101976,
-                    54258026, 49488161, 57700395,
-                ]),
-                y_minus_x: FieldElement2625([
-                    21987233, 700364, 42603816, 14972007, 59334599, 27836036, 32155025, 2581431,
-                    37149879, 8773374,
-                ]),
-                xy2d: FieldElement2625([
-                    41540495, 454462, 53896929, 16126714, 25240068, 8594567, 20656846, 12017935,
-                    59234475, 19634276,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    73137027, 39817509, 103205921, 55807152, 66289943, 36016203, 102376553,
-                    61640820, 65387074, 30777706,
-                ]),
-                y_minus_x: FieldElement2625([
-                    54829870, 16624276, 987579, 27631834, 32908202, 1248608, 7719845, 29387734,
-                    28408819, 6816612,
-                ]),
-                xy2d: FieldElement2625([
-                    56750770, 25316602, 19549650, 21385210, 22082622, 16147817, 20613181, 13982702,
-                    56769294, 5067942,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    36602859, 29732664, 79183544, 13582411, 47230892, 35998382, 47389577, 12746131,
-                    72440074, 57002919,
-                ]),
-                y_minus_x: FieldElement2625([
-                    30528792, 3601899, 65151774, 4619784, 39747042, 18118043, 24180792, 20984038,
-                    27679907, 31905504,
-                ]),
-                xy2d: FieldElement2625([
-                    9402385, 19597367, 32834042, 10838634, 40528714, 20317236, 26653273, 24868867,
-                    22611443, 20839026,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    89299435, 34672460, 22736440, 48684895, 103757035, 27563109, 86298488,
-                    62459921, 71963721, 40176570,
-                ]),
-                y_minus_x: FieldElement2625([
-                    58798126, 30600981, 58846284, 30166382, 56707132, 33282502, 13424425, 29987205,
-                    26404408, 13001963,
-                ]),
-                xy2d: FieldElement2625([
-                    35867026, 18138731, 64114613, 8939345, 11562230, 20713762, 41044498, 21932711,
-                    51703708, 11020692,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    68974887, 59159374, 59210213, 23253421, 12483314, 47031979, 70284499, 21130268,
-                    28761761, 34961166,
-                ]),
-                y_minus_x: FieldElement2625([
-                    66660290, 31776765, 13018550, 3194501, 57528444, 22392694, 24760584, 29207344,
-                    25577410, 20175752,
-                ]),
-                xy2d: FieldElement2625([
-                    42818486, 4759344, 66418211, 31701615, 2066746, 10693769, 37513074, 9884935,
-                    57739938, 4745409,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    57967561, 39604145, 47577802, 29213020, 102956929, 43498706, 51646855,
-                    55797011, 78040786, 21622500,
-                ]),
-                y_minus_x: FieldElement2625([
-                    50547351, 14112679, 59096219, 4817317, 59068400, 22139825, 44255434, 10856640,
-                    46638094, 13434653,
-                ]),
-                xy2d: FieldElement2625([
-                    22759470, 23480998, 50342599, 31683009, 13637441, 23386341, 1765143, 20900106,
-                    28445306, 28189722,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    29875044, 46048045, 69904399, 63322533, 68819482, 48735613, 56913146, 24765756,
-                    9074233, 34721612,
-                ]),
-                y_minus_x: FieldElement2625([
-                    40903181, 11014232, 57266213, 30918946, 40200743, 7532293, 48391976, 24018933,
-                    3843902, 9367684,
-                ]),
-                xy2d: FieldElement2625([
-                    56139269, 27150720, 9591133, 9582310, 11349256, 108879, 16235123, 8601684,
-                    66969667, 4242894,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    89201818, 53917740, 65066069, 21585919, 99295616, 55591475, 60534521, 36025091,
-                    106800361, 16625499,
-                ]),
-                y_minus_x: FieldElement2625([
-                    56051142, 3042015, 13770083, 24296510, 584235, 33009577, 59338006, 2602724,
-                    39757248, 14247412,
-                ]),
-                xy2d: FieldElement2625([
-                    6314156, 23289540, 34336361, 15957556, 56951134, 168749, 58490057, 14290060,
-                    27108877, 32373552,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    58522248, 26383465, 80350645, 44514587, 34117848, 19759835, 100656839,
-                    22495542, 107069276, 34536304,
-                ]),
-                y_minus_x: FieldElement2625([
-                    22833421, 9293594, 34459416, 19935764, 57971897, 14756818, 44180005, 19583651,
-                    56629059, 17356469,
-                ]),
-                xy2d: FieldElement2625([
-                    59340277, 3326785, 38997067, 10783823, 19178761, 14905060, 22680049, 13906969,
-                    51175174, 3797898,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    88830182, 29341685, 54902740, 42864613, 63226624, 19901321, 90849087, 30845199,
-                    87600846, 59066711,
-                ]),
-                y_minus_x: FieldElement2625([
-                    9209251, 18419377, 53852306, 27386633, 66377847, 15289672, 25947805, 15286587,
-                    30997318, 26851369,
-                ]),
-                xy2d: FieldElement2625([
-                    7392013, 16618386, 23946583, 25514540, 53843699, 32020573, 52911418, 31232855,
-                    17649997, 33304352,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    57807757, 52915036, 97718388, 30504888, 41933794, 32270679, 51867297, 24028707,
-                    64875610, 41216577,
-                ]),
-                y_minus_x: FieldElement2625([
-                    49550191, 1763593, 33994528, 15908609, 37067994, 21380136, 7335079, 25082233,
-                    63934189, 3440182,
-                ]),
-                xy2d: FieldElement2625([
-                    47219164, 27577423, 42997570, 23865561, 10799742, 16982475, 40449, 29122597,
-                    4862399, 1133,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    34252636, 25680474, 61686474, 48415381, 50789832, 41510573, 74366924, 33866292,
-                    36513872, 26175010,
-                ]),
-                y_minus_x: FieldElement2625([
-                    63335436, 31988495, 28985339, 7499440, 24445838, 9325937, 29727763, 16527196,
-                    18278453, 15405622,
-                ]),
-                xy2d: FieldElement2625([
-                    62726958, 8508651, 47210498, 29880007, 61124410, 15149969, 53795266, 843522,
-                    45233802, 13626196,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    69390312, 20067376, 56193445, 30944521, 68988221, 49718638, 56324981, 37508223,
-                    80449702, 15928662,
-                ]),
-                y_minus_x: FieldElement2625([
-                    31727126, 26374577, 48671360, 25270779, 2875792, 17164102, 41838969, 26539605,
-                    43656557, 5964752,
-                ]),
-                xy2d: FieldElement2625([
-                    4100401, 27594980, 49929526, 6017713, 48403027, 12227140, 40424029, 11344143,
-                    2538215, 25983677,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    57675240, 6123112, 78268667, 31397823, 97125143, 48520672, 46633880, 35039852,
-                    66479607, 17595569,
-                ]),
-                y_minus_x: FieldElement2625([
-                    40304287, 4260918, 11851389, 9658551, 35091757, 16367491, 46903439, 20363143,
-                    11659921, 22439314,
-                ]),
-                xy2d: FieldElement2625([
-                    26180377, 10015009, 36264640, 24973138, 5418196, 9480663, 2231568, 23384352,
-                    33100371, 32248261,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    82229958, 28352560, 56718958, 48982252, 39598926, 17561924, 88779810, 38041106,
-                    61177053, 19088051,
-                ]),
-                y_minus_x: FieldElement2625([
-                    16166467, 24070699, 56004733, 6023907, 35182066, 32189508, 2340059, 17299464,
-                    56373093, 23514607,
-                ]),
-                xy2d: FieldElement2625([
-                    28042865, 29997343, 54982337, 12259705, 63391366, 26608532, 6766452, 24864833,
-                    18036435, 5803270,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    66291264, 40318343, 78912424, 35140016, 78067310, 30883266, 23855390, 4598332,
-                    60949433, 19436993,
-                ]),
-                y_minus_x: FieldElement2625([
-                    36077558, 19298237, 17332028, 31170912, 31312681, 27587249, 696308, 50292,
-                    47013125, 11763583,
-                ]),
-                xy2d: FieldElement2625([
-                    66514282, 31040148, 34874710, 12643979, 12650761, 14811489, 665117, 20940800,
-                    47335652, 22840869,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    97573435, 55845991, 62981386, 20819953, 86944190, 60003250, 109821551,
-                    35630203, 50088706, 34546902,
-                ]),
-                y_minus_x: FieldElement2625([
-                    18357166, 26559999, 7766381, 16342475, 37783946, 411173, 14578841, 8080033,
-                    55534529, 22952821,
-                ]),
-                xy2d: FieldElement2625([
-                    19598397, 10334610, 12555054, 2555664, 18821899, 23214652, 21873262, 16014234,
-                    26224780, 16452269,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    36884920, 5145195, 73053412, 49940397, 71085598, 35564328, 122839923, 25936244,
-                    46575034, 37253081,
-                ]),
-                y_minus_x: FieldElement2625([
-                    14187449, 3448569, 56472628, 22743496, 44444983, 30120835, 7268409, 22663988,
-                    27394300, 12015369,
-                ]),
-                xy2d: FieldElement2625([
-                    19695742, 16087646, 28032085, 12999827, 6817792, 11427614, 20244189, 32241655,
-                    53849736, 30151970,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    97968948, 12735207, 65220619, 28854697, 50133957, 35811371, 126051714,
-                    45852742, 58558339, 23160969,
-                ]),
-                y_minus_x: FieldElement2625([
-                    61389038, 22309106, 65198214, 15569034, 26642876, 25966672, 61319509, 18435777,
-                    62132699, 12651792,
-                ]),
-                xy2d: FieldElement2625([
-                    64260450, 9953420, 11531313, 28271553, 26895122, 20857343, 53990043, 17036529,
-                    9768697, 31021214,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    109498250, 35449081, 66821165, 28850346, 82457582, 25397901, 32767512,
-                    46319882, 72048958, 44232657,
-                ]),
-                y_minus_x: FieldElement2625([
-                    18860224, 15980149, 48121624, 31991861, 40875851, 22482575, 59264981, 13944023,
-                    42736516, 16582018,
-                ]),
-                xy2d: FieldElement2625([
-                    51604604, 4970267, 37215820, 4175592, 46115652, 31354675, 55404809, 15444559,
-                    56105103, 7989036,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    98599278, 39122492, 64696060, 35736814, 34772016, 38086117, 35030594, 39754637,
-                    47422750, 52308692,
-                ]),
-                y_minus_x: FieldElement2625([
-                    49800177, 17674491, 35586086, 33551600, 34221481, 16375548, 8680158, 17182719,
-                    28550067, 26697300,
-                ]),
-                xy2d: FieldElement2625([
-                    38981977, 27866340, 16837844, 31733974, 60258182, 12700015, 37068883, 4364037,
-                    1155602, 5988841,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    88999280, 20281524, 121593716, 12154347, 59276991, 48854927, 90257846,
-                    29083950, 91727270, 41837612,
-                ]),
-                y_minus_x: FieldElement2625([
-                    33972757, 23041680, 9975415, 6841041, 35549071, 16356535, 3070187, 26528504,
-                    1466168, 10740210,
-                ]),
-                xy2d: FieldElement2625([
-                    65599446, 18066246, 53605478, 22898515, 32799043, 909394, 53169961, 27774712,
-                    34944214, 18227391,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    71069668, 19286628, 39082773, 51190812, 47704004, 46701299, 82676190, 34505938,
-                    63848542, 32980496,
-                ]),
-                y_minus_x: FieldElement2625([
-                    24740822, 5052253, 37014733, 8961360, 25877428, 6165135, 42740684, 14397371,
-                    59728495, 27410326,
-                ]),
-                xy2d: FieldElement2625([
-                    38220480, 3510802, 39005586, 32395953, 55870735, 22922977, 51667400, 19101303,
-                    65483377, 27059617,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    67902144, 24323953, 75945165, 27318724, 39747955, 31184838, 100261706,
-                    62223612, 57202662, 32932579,
-                ]),
-                y_minus_x: FieldElement2625([
-                    5666214, 525582, 20782575, 25516013, 42570364, 14657739, 16099374, 1468826,
-                    60937436, 18367850,
-                ]),
-                xy2d: FieldElement2625([
-                    62249590, 29775088, 64191105, 26806412, 7778749, 11688288, 36704511, 23683193,
-                    65549940, 23690785,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    10896313, 25834728, 67933138, 34027032, 114757419, 36564017, 25248957,
-                    48337770, 36527387, 17796587,
-                ]),
-                y_minus_x: FieldElement2625([
-                    10566929, 12612572, 35164652, 11118702, 54475488, 12362878, 21752402, 8822496,
-                    24003793, 14264025,
-                ]),
-                xy2d: FieldElement2625([
-                    27713843, 26198459, 56100623, 9227529, 27050101, 2504721, 23886875, 20436907,
-                    13958494, 27821979,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    110736080, 38421656, 39861735, 37454952, 29838368, 25342141, 102328328,
-                    23512649, 74449384, 51698795,
-                ]),
-                y_minus_x: FieldElement2625([
-                    4646495, 25543308, 44342840, 22021777, 23184552, 8566613, 31366726, 32173371,
-                    52042079, 23179239,
-                ]),
-                xy2d: FieldElement2625([
-                    49838347, 12723031, 50115803, 14878793, 21619651, 27356856, 27584816, 3093888,
-                    58265170, 3849920,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    58043933, 35657603, 92670503, 51983125, 61869038, 43137389, 99585908, 24536476,
-                    72111157, 18004172,
-                ]),
-                y_minus_x: FieldElement2625([
-                    55051311, 22376525, 21115584, 20189277, 8808711, 21523724, 16489529, 13378448,
-                    41263148, 12741425,
-                ]),
-                xy2d: FieldElement2625([
-                    61162478, 10645102, 36197278, 15390283, 63821882, 26435754, 24306471, 15852464,
-                    28834118, 25908360,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    49773097, 24447374, 109686448, 42989383, 58636779, 32971069, 54018092,
-                    34010272, 87570721, 39045736,
-                ]),
-                y_minus_x: FieldElement2625([
-                    13669229, 17458950, 54626889, 23351392, 52539093, 21661233, 42112877, 11293806,
-                    38520660, 24132599,
-                ]),
-                xy2d: FieldElement2625([
-                    28497909, 6272777, 34085870, 14470569, 8906179, 32328802, 18504673, 19389266,
-                    29867744, 24758489,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    50901822, 47071627, 39309233, 19856633, 24009063, 60734973, 60741262, 53933471,
-                    22853427, 29542421,
-                ]),
-                y_minus_x: FieldElement2625([
-                    24191359, 16712145, 53177067, 15217830, 14542237, 1646131, 18603514, 22516545,
-                    12876622, 31441985,
-                ]),
-                xy2d: FieldElement2625([
-                    17902668, 4518229, 66697162, 30725184, 26878216, 5258055, 54248111, 608396,
-                    16031844, 3723494,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    105584936, 12763726, 46662418, 41131935, 33001347, 54091119, 17558840,
-                    59235974, 23896952, 29240187,
-                ]),
-                y_minus_x: FieldElement2625([
-                    47103464, 21542479, 31520463, 605201, 2543521, 5991821, 64163800, 7229063,
-                    57189218, 24727572,
-                ]),
-                xy2d: FieldElement2625([
-                    28816026, 298879, 38943848, 17633493, 19000927, 31888542, 54428030, 30605106,
-                    49057085, 31471516,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    16000882, 33209536, 70601955, 55661665, 37604267, 20394642, 79686603, 49595699,
-                    47393623, 7847706,
-                ]),
-                y_minus_x: FieldElement2625([
-                    10151868, 10572098, 27312476, 7922682, 14825339, 4723128, 34252933, 27035413,
-                    57088296, 3852847,
-                ]),
-                xy2d: FieldElement2625([
-                    55678375, 15697595, 45987307, 29133784, 5386313, 15063598, 16514493, 17622322,
-                    29330898, 18478208,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    41609110, 29175637, 51885955, 26653220, 83724594, 35606215, 70412565, 33569921,
-                    106668931, 45868821,
-                ]),
-                y_minus_x: FieldElement2625([
-                    15683501, 27551389, 18109119, 23573784, 15337967, 27556609, 50391428, 15921865,
-                    16103996, 29823217,
-                ]),
-                xy2d: FieldElement2625([
-                    43939021, 22773182, 13588191, 31925625, 63310306, 32479502, 47835256, 5402698,
-                    37293151, 23713330,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    90299521, 35939014, 34394523, 37016585, 104314072, 32025298, 55842007, 8911516,
-                    109011869, 36294143,
-                ]),
-                y_minus_x: FieldElement2625([
-                    21374101, 30000182, 33584214, 9874410, 15377179, 11831242, 33578960, 6134906,
-                    4931255, 11987849,
-                ]),
-                xy2d: FieldElement2625([
-                    67101132, 30575573, 50885377, 7277596, 105524, 33232381, 35628324, 13861387,
-                    37032554, 10117929,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    37607694, 22809559, 40945095, 13051538, 41483300, 38644074, 127892224,
-                    40258509, 79998882, 15728939,
-                ]),
-                y_minus_x: FieldElement2625([
-                    45136504, 21783052, 66157804, 29135591, 14704839, 2695116, 903376, 23126293,
-                    12885166, 8311031,
-                ]),
-                xy2d: FieldElement2625([
-                    49592363, 5352193, 10384213, 19742774, 7506450, 13453191, 26423267, 4384730,
-                    1888765, 28119028,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    108400371, 64001550, 120723127, 30371924, 98005322, 19632702, 101966083,
-                    20846561, 47644429, 30214188,
-                ]),
-                y_minus_x: FieldElement2625([
-                    43500868, 30888657, 66582772, 4651135, 5765089, 4618330, 6092245, 14845197,
-                    17151279, 23700316,
-                ]),
-                xy2d: FieldElement2625([
-                    42278406, 20820711, 51942885, 10367249, 37577956, 33289075, 22825804, 26467153,
-                    50242379, 16176524,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    43525570, 40119392, 87172552, 37352659, 129477549, 40913655, 69115045,
-                    23191005, 38362610, 56911354,
-                ]),
-                y_minus_x: FieldElement2625([
-                    56482264, 29068029, 53788301, 28429114, 3432135, 27161203, 23632036, 31613822,
-                    32808309, 1099883,
-                ]),
-                xy2d: FieldElement2625([
-                    15030958, 5768825, 39657628, 30667132, 60681485, 18193060, 51830967, 26745081,
-                    2051440, 18328567,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    63746522, 26315059, 74626753, 43379423, 90664713, 33849800, 72257261, 52954675,
-                    44422508, 50188091,
-                ]),
-                y_minus_x: FieldElement2625([
-                    4577067, 16802144, 13249840, 18250104, 19958762, 19017158, 18559669, 22794883,
-                    8402477, 23690159,
-                ]),
-                xy2d: FieldElement2625([
-                    38702534, 32502850, 40318708, 32646733, 49896449, 22523642, 9453450, 18574360,
-                    17983009, 9967138,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    41346351, 40079153, 93694351, 43523701, 24709297, 34774792, 65430873, 7806336,
-                    84616260, 37205991,
-                ]),
-                y_minus_x: FieldElement2625([
-                    56688388, 29436320, 14584638, 15971087, 51340543, 8861009, 26556809, 27979875,
-                    48555541, 22197296,
-                ]),
-                xy2d: FieldElement2625([
-                    2839082, 14284142, 4029895, 3472686, 14402957, 12689363, 40466743, 8459446,
-                    61503401, 25932490,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    62269556, 30018987, 76853824, 2871047, 92222842, 36741449, 109106914, 32705364,
-                    84366947, 25576692,
-                ]),
-                y_minus_x: FieldElement2625([
-                    18164541, 22959256, 49953981, 32012014, 19237077, 23809137, 23357532, 18337424,
-                    26908269, 12150756,
-                ]),
-                xy2d: FieldElement2625([
-                    36843994, 25906566, 5112248, 26517760, 65609056, 26580174, 43167, 28016731,
-                    34806789, 16215818,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    60209940, 43378825, 54804084, 29153342, 102820586, 27277595, 99683352,
-                    46087336, 59605791, 24879084,
-                ]),
-                y_minus_x: FieldElement2625([
-                    39765323, 17038963, 39957339, 22831480, 946345, 16291093, 254968, 7168080,
-                    21676107, 31611404,
-                ]),
-                xy2d: FieldElement2625([
-                    21260942, 25129680, 50276977, 21633609, 43430902, 3968120, 63456915, 27338965,
-                    63552672, 25641356,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    16544735, 46804798, 50304435, 49100673, 62525860, 46311689, 64646555, 24874095,
-                    48201831, 23891632,
-                ]),
-                y_minus_x: FieldElement2625([
-                    64693606, 17976703, 18312302, 4964443, 51836334, 20900867, 26820650, 16690659,
-                    25459437, 28989823,
-                ]),
-                xy2d: FieldElement2625([
-                    41964155, 11425019, 28423002, 22533875, 60963942, 17728207, 9142794, 31162830,
-                    60676445, 31909614,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    44004193, 39807907, 16964146, 29785560, 109103755, 54812425, 39651637,
-                    50764205, 73444554, 40804420,
-                ]),
-                y_minus_x: FieldElement2625([
-                    36775618, 13979674, 7503222, 21186118, 55152142, 28932738, 36836594, 2682241,
-                    25993170, 21075909,
-                ]),
-                xy2d: FieldElement2625([
-                    4364628, 5930691, 32304656, 23509878, 59054082, 15091130, 22857016, 22955477,
-                    31820367, 15075278,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    98987979, 24635738, 84367624, 33645057, 126175891, 28636721, 91271651,
-                    23903545, 116247489, 46387475,
-                ]),
-                y_minus_x: FieldElement2625([
-                    19073683, 14851414, 42705695, 21694263, 7625277, 11091125, 47489674, 2074448,
-                    57694925, 14905376,
-                ]),
-                xy2d: FieldElement2625([
-                    24483648, 21618865, 64589997, 22007013, 65555733, 15355505, 41826784, 9253128,
-                    27628530, 25998952,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    84706452, 41895034, 86464480, 34106618, 26198469, 30377849, 71702187, 24396849,
-                    120106852, 48851446,
-                ]),
-                y_minus_x: FieldElement2625([
-                    510886, 14337390, 35323607, 16638631, 6328095, 2713355, 46891447, 21690211,
-                    8683220, 2921426,
-                ]),
-                xy2d: FieldElement2625([
-                    18606791, 11874196, 27155355, 28272950, 43077121, 6265445, 41930624, 32275507,
-                    4674689, 13890525,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    13609605, 13069022, 106845367, 20498522, 91469449, 43147405, 82086020,
-                    43389536, 71498550, 33842827,
-                ]),
-                y_minus_x: FieldElement2625([
-                    9922506, 33035038, 13613106, 5883594, 48350519, 33120168, 54804801, 8317627,
-                    23388070, 16052080,
-                ]),
-                xy2d: FieldElement2625([
-                    12719997, 11937594, 35138804, 28525742, 26900119, 8561328, 46953177, 21921452,
-                    52354592, 22741539,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    83070703, 47704840, 93825794, 32888599, 111423399, 47157999, 78938436,
-                    41022275, 38286735, 34483706,
-                ]),
-                y_minus_x: FieldElement2625([
-                    11038231, 21972036, 39798381, 26237869, 56610336, 17246600, 43629330, 24182562,
-                    45715720, 2465073,
-                ]),
-                xy2d: FieldElement2625([
-                    20017144, 29231206, 27915241, 1529148, 12396362, 15675764, 13817261, 23896366,
-                    2463390, 28932292,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    50749967, 20890520, 122152544, 38550884, 65852441, 34628003, 76692421,
-                    12851106, 71112760, 46228148,
-                ]),
-                y_minus_x: FieldElement2625([
-                    65377275, 18398561, 63845933, 16143081, 19294135, 13385325, 14741514, 24450706,
-                    7903885, 2348101,
-                ]),
-                xy2d: FieldElement2625([
-                    24536016, 17039225, 12715591, 29692277, 1511292, 10047386, 63266518, 26425272,
-                    38731325, 10048126,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    54486638, 27349611, 97827688, 2591311, 56491836, 12192839, 85982162, 59811773,
-                    34811106, 15221631,
-                ]),
-                y_minus_x: FieldElement2625([
-                    40630742, 22450567, 11546243, 31701949, 9180879, 7656409, 45764914, 2095754,
-                    29769758, 6593415,
-                ]),
-                xy2d: FieldElement2625([
-                    35114656, 30646970, 4176911, 3264766, 12538965, 32686321, 26312344, 27435754,
-                    30958053, 8292160,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    98538667, 53149747, 96282394, 15632447, 12174511, 64348770, 99917693, 37531617,
-                    93251999, 30405555,
-                ]),
-                y_minus_x: FieldElement2625([
-                    22648882, 1402143, 44308880, 13746058, 7936347, 365344, 58440231, 31879998,
-                    63350620, 31249806,
-                ]),
-                xy2d: FieldElement2625([
-                    51616947, 8012312, 64594134, 20851969, 43143017, 23300402, 65496150, 32018862,
-                    50444388, 8194477,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    27338047, 26047012, 59694639, 10140404, 48082437, 26964542, 94386054, 42409807,
-                    95681149, 36559595,
-                ]),
-                y_minus_x: FieldElement2625([
-                    26287105, 4821776, 25476601, 29408529, 63344350, 17765447, 49100281, 1182478,
-                    41014043, 20474836,
-                ]),
-                xy2d: FieldElement2625([
-                    59937691, 3178079, 23970071, 6201893, 49913287, 29065239, 45232588, 19571804,
-                    32208682, 32356184,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    50451143, 36372074, 56822501, 14811297, 73133531, 46903936, 39793359, 56611021,
-                    39436277, 22014573,
-                ]),
-                y_minus_x: FieldElement2625([
-                    15941010, 24148500, 45741813, 8062054, 31876073, 33315803, 51830470, 32110002,
-                    15397330, 29424239,
-                ]),
-                xy2d: FieldElement2625([
-                    8934485, 20068965, 43822466, 20131190, 34662773, 14047985, 31170398, 32113411,
-                    39603297, 15087183,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    115860466, 31397939, 24524912, 16876564, 82629290, 27193655, 118715321,
-                    11461894, 83897392, 27685489,
-                ]),
-                y_minus_x: FieldElement2625([
-                    65161459, 16013772, 21750665, 3714552, 49707082, 17498998, 63338576, 23231111,
-                    31322513, 21938797,
-                ]),
-                xy2d: FieldElement2625([
-                    21426636, 27904214, 53460576, 28206894, 38296674, 28633461, 48833472, 18933017,
-                    13040861, 21441484,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    78402740, 46032517, 107081326, 48638180, 104910306, 14748870, 14555558,
-                    20137329, 68722574, 38451366,
-                ]),
-                y_minus_x: FieldElement2625([
-                    41213962, 15323293, 58619073, 25496531, 25967125, 20128972, 2825959, 28657387,
-                    43137087, 22287016,
-                ]),
-                xy2d: FieldElement2625([
-                    51184079, 28324551, 49665331, 6410663, 3622847, 10243618, 20615400, 12405433,
-                    43355834, 25118015,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    127126414, 46110638, 114026375, 9025185, 50036385, 4333800, 71487300, 35986461,
-                    23097948, 32988414,
-                ]),
-                y_minus_x: FieldElement2625([
-                    4565804, 17528778, 20084411, 25711615, 1724998, 189254, 24767264, 10103221,
-                    48596551, 2424777,
-                ]),
-                xy2d: FieldElement2625([
-                    366633, 21577626, 8173089, 26664313, 30788633, 5745705, 59940186, 1344108,
-                    63466311, 12412658,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    110215918, 41244716, 82038279, 33386174, 102006892, 53695876, 91271559,
-                    51782359, 63967361, 44733816,
-                ]),
-                y_minus_x: FieldElement2625([
-                    18289503, 18829478, 8056944, 16430056, 45379140, 7842513, 61107423, 32067534,
-                    48424218, 22110928,
-                ]),
-                xy2d: FieldElement2625([
-                    476239, 6601091, 60956074, 23831056, 17503544, 28690532, 27672958, 13403813,
-                    11052904, 5219329,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    87787372, 25178693, 34436965, 42403554, 129207969, 48129182, 98295834,
-                    29580701, 9014761, 58529808,
-                ]),
-                y_minus_x: FieldElement2625([
-                    53464795, 23204192, 51146355, 5075807, 65594203, 22019831, 34006363, 9160279,
-                    8473550, 30297594,
-                ]),
-                xy2d: FieldElement2625([
-                    24900749, 14435722, 17209120, 18261891, 44516588, 9878982, 59419555, 17218610,
-                    42540382, 11788947,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    63990690, 22159237, 53306774, 48351872, 76761311, 26708527, 47071426, 43965164,
-                    42540393, 32095740,
-                ]),
-                y_minus_x: FieldElement2625([
-                    51449703, 16736705, 44641714, 10215877, 58011687, 7563910, 11871841, 21049238,
-                    48595538, 8464117,
-                ]),
-                xy2d: FieldElement2625([
-                    43708233, 8348506, 52522913, 32692717, 63158658, 27181012, 14325288, 8628612,
-                    33313881, 25183915,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    46921853, 28586496, 89476219, 38825978, 66011746, 28765593, 109412060,
-                    23317576, 58168128, 61290594,
-                ]),
-                y_minus_x: FieldElement2625([
-                    60160060, 31759219, 34483180, 17533252, 32635413, 26180187, 15989196, 20716244,
-                    28358191, 29300528,
-                ]),
-                xy2d: FieldElement2625([
-                    43547083, 30755372, 34757181, 31892468, 57961144, 10429266, 50471180, 4072015,
-                    61757200, 5596588,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    105981130, 30164382, 79421759, 39767609, 3117141, 49632997, 29266238, 36111653,
-                    68877164, 15373192,
-                ]),
-                y_minus_x: FieldElement2625([
-                    59865506, 30307471, 62515396, 26001078, 66980936, 32642186, 66017961, 29049440,
-                    42448372, 3442909,
-                ]),
-                xy2d: FieldElement2625([
-                    36898293, 5124042, 14181784, 8197961, 18964734, 21615339, 22597930, 7176455,
-                    48523386, 13365929,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    59231455, 32054473, 75433536, 38244510, 73370723, 34444877, 24538106, 24984246,
-                    57419264, 30522764,
-                ]),
-                y_minus_x: FieldElement2625([
-                    25008885, 22782833, 62803832, 23916421, 16265035, 15721635, 683793, 21730648,
-                    15723478, 18390951,
-                ]),
-                xy2d: FieldElement2625([
-                    57448220, 12374378, 40101865, 26528283, 59384749, 21239917, 11879681, 5400171,
-                    519526, 32318556,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    22258378, 50776631, 59239045, 14613015, 44588609, 30603508, 46754982, 40870398,
-                    16648396, 41160072,
-                ]),
-                y_minus_x: FieldElement2625([
-                    59027556, 25089834, 58885552, 9719709, 19259459, 18206220, 23994941, 28272877,
-                    57640015, 4763277,
-                ]),
-                xy2d: FieldElement2625([
-                    45409620, 9220968, 51378240, 1084136, 41632757, 30702041, 31088446, 25789909,
-                    55752334, 728111,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    26047201, 55357393, 127317403, 50587064, 91200930, 9158118, 62835319, 20998873,
-                    104852291, 28056158,
-                ]),
-                y_minus_x: FieldElement2625([
-                    17510331, 33231575, 5854288, 8403524, 17133918, 30441820, 38997856, 12327944,
-                    10750447, 10014012,
-                ]),
-                xy2d: FieldElement2625([
-                    56796096, 3936951, 9156313, 24656749, 16498691, 32559785, 39627812, 32887699,
-                    3424690, 7540221,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    97431206, 26590321, 78469868, 29411114, 74542167, 4989747, 127146306, 50791643,
-                    57864597, 48812477,
-                ]),
-                y_minus_x: FieldElement2625([
-                    13054543, 30774935, 19155473, 469045, 54626067, 4566041, 5631406, 2711395,
-                    1062915, 28418087,
-                ]),
-                xy2d: FieldElement2625([
-                    47868616, 22299832, 37599834, 26054466, 61273100, 13005410, 61042375, 12194496,
-                    32960380, 1459310,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    86960860, 40582355, 90778216, 43574797, 75695366, 26896524, 67503060, 27452546,
-                    85746866, 55933926,
-                ]),
-                y_minus_x: FieldElement2625([
-                    31395515, 15098109, 26581030, 8030562, 50580950, 28547297, 9012485, 25970078,
-                    60465776, 28111795,
-                ]),
-                xy2d: FieldElement2625([
-                    57916680, 31207054, 65111764, 4529533, 25766844, 607986, 67095642, 9677542,
-                    34813975, 27098423,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    64664330, 33404494, 96457765, 8186664, 68982624, 12489862, 103283149, 25714738,
-                    59256019, 58970434,
-                ]),
-                y_minus_x: FieldElement2625([
-                    51872508, 18120922, 7766469, 746860, 26346930, 23332670, 39775412, 10754587,
-                    57677388, 5203575,
-                ]),
-                xy2d: FieldElement2625([
-                    31834314, 14135496, 66338857, 5159117, 20917671, 16786336, 59640890, 26216907,
-                    31809242, 7347066,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    57502122, 21680191, 87523322, 46588417, 80825387, 21862550, 86906833, 21343176,
-                    82301739, 31466941,
-                ]),
-                y_minus_x: FieldElement2625([
-                    54445282, 31372712, 1168161, 29749623, 26747876, 19416341, 10609329, 12694420,
-                    33473243, 20172328,
-                ]),
-                xy2d: FieldElement2625([
-                    33184999, 11180355, 15832085, 22169002, 65475192, 225883, 15089336, 22530529,
-                    60973201, 14480052,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    98417562, 27934433, 98139703, 31657332, 82783410, 26971548, 72605071, 13685226,
-                    27595050, 42291707,
-                ]),
-                y_minus_x: FieldElement2625([
-                    46790012, 18404192, 10933842, 17376410, 8335351, 26008410, 36100512, 20943827,
-                    26498113, 66511,
-                ]),
-                xy2d: FieldElement2625([
-                    22644435, 24792703, 50437087, 4884561, 64003250, 19995065, 30540765, 29267685,
-                    53781076, 26039336,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    106199862, 9834843, 85726071, 30873119, 63706907, 53801357, 75314402, 13585436,
-                    117090263, 48669869,
-                ]),
-                y_minus_x: FieldElement2625([
-                    23711543, 32881517, 31206560, 25191721, 6164646, 23844445, 33572981, 32128335,
-                    8236920, 16492939,
-                ]),
-                xy2d: FieldElement2625([
-                    43198286, 20038905, 40809380, 29050590, 25005589, 25867162, 19574901, 10071562,
-                    6708380, 27332008,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    69210217, 28624377, 86811594, 35922006, 118790560, 34602105, 72409880,
-                    42883131, 29955600, 55430554,
-                ]),
-                y_minus_x: FieldElement2625([
-                    3096359, 9271816, 45488000, 18032587, 52260867, 25961494, 41216721, 20918836,
-                    57191288, 6216607,
-                ]),
-                xy2d: FieldElement2625([
-                    34493015, 338662, 41913253, 2510421, 37895298, 19734218, 24822829, 27407865,
-                    40341383, 7525078,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    44042196, 53123240, 83242349, 25658253, 130828162, 34333218, 66198527,
-                    30771936, 47722230, 45548532,
-                ]),
-                y_minus_x: FieldElement2625([
-                    21691500, 19929806, 66467532, 19187410, 3285880, 30070836, 42044197, 9718257,
-                    59631427, 13381417,
-                ]),
-                xy2d: FieldElement2625([
-                    18445390, 29352196, 14979845, 11622458, 65381754, 29971451, 23111647, 27179185,
-                    28535281, 15779576,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    30098034, 36644094, 124983340, 16662133, 45801924, 44862842, 53040409,
-                    12021729, 77064149, 17251075,
-                ]),
-                y_minus_x: FieldElement2625([
-                    9734894, 18977602, 59635230, 24415696, 2060391, 11313496, 48682835, 9924398,
-                    20194861, 13380996,
-                ]),
-                xy2d: FieldElement2625([
-                    40730762, 25589224, 44941042, 15789296, 49053522, 27385639, 65123949, 15707770,
-                    26342023, 10146099,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    41091971, 33334488, 88448054, 33513043, 86854119, 30675731, 37471583, 35781471,
-                    21612325, 33008704,
-                ]),
-                y_minus_x: FieldElement2625([
-                    54031477, 1184227, 23562814, 27583990, 46757619, 27205717, 25764460, 12243797,
-                    46252298, 11649657,
-                ]),
-                xy2d: FieldElement2625([
-                    57077370, 11262625, 27384172, 2271902, 26947504, 17556661, 39943, 6114064,
-                    33514190, 2333242,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    112784121, 54687041, 75228644, 40774344, 45278341, 58092729, 60429112,
-                    54438225, 91459440, 20104430,
-                ]),
-                y_minus_x: FieldElement2625([
-                    62992557, 22282898, 43222677, 4843614, 37020525, 690622, 35572776, 23147595,
-                    8317859, 12352766,
-                ]),
-                xy2d: FieldElement2625([
-                    18200138, 19078521, 34021104, 30857812, 43406342, 24451920, 43556767, 31266881,
-                    20712162, 6719373,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    26656189, 39629685, 59250307, 35440503, 105873684, 37816756, 78226393,
-                    29791221, 26224234, 30256974,
-                ]),
-                y_minus_x: FieldElement2625([
-                    49939907, 18700334, 63713187, 17184554, 47154818, 14050419, 21728352, 9493610,
-                    18620611, 17125804,
-                ]),
-                xy2d: FieldElement2625([
-                    53785524, 13325348, 11432106, 5964811, 18609221, 6062965, 61839393, 23828875,
-                    36407290, 17074774,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    43248307, 55875704, 94070219, 35195292, 34695751, 16816491, 79357372, 28313792,
-                    80844205, 35488493,
-                ]),
-                y_minus_x: FieldElement2625([
-                    25089769, 6742589, 17081145, 20148166, 21909292, 17486451, 51972569, 29789085,
-                    45830866, 5473615,
-                ]),
-                xy2d: FieldElement2625([
-                    31883658, 25593331, 1083431, 21982029, 22828470, 13290673, 59983779, 12469655,
-                    29111212, 28103418,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    91353792, 52058456, 107954750, 36345970, 52111264, 50221109, 91476329,
-                    39943270, 56813276, 34006814,
-                ]),
-                y_minus_x: FieldElement2625([
-                    41468082, 30136590, 5217915, 16224624, 19987036, 29472163, 42872612, 27639183,
-                    15766061, 8407814,
-                ]),
-                xy2d: FieldElement2625([
-                    46701865, 13990230, 15495425, 16395525, 5377168, 15166495, 58191841, 29165478,
-                    59040954, 2276717,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    30157899, 46478498, 116505677, 42800183, 87003891, 36922573, 43281276,
-                    38650650, 89849239, 26251014,
-                ]),
-                y_minus_x: FieldElement2625([
-                    2041139, 19298082, 7783686, 13876377, 41161879, 20201972, 24051123, 13742383,
-                    51471265, 13295221,
-                ]),
-                xy2d: FieldElement2625([
-                    33338218, 25048699, 12532112, 7977527, 9106186, 31839181, 49388668, 28941459,
-                    62657506, 18884987,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    47063564, 39008528, 52762315, 40001577, 28862070, 35438083, 64639597, 29412551,
-                    74879432, 43175028,
-                ]),
-                y_minus_x: FieldElement2625([
-                    23208049, 7979712, 33071466, 8149229, 1758231, 22719437, 30945527, 31860109,
-                    33606523, 18786461,
-                ]),
-                xy2d: FieldElement2625([
-                    1439939, 17283952, 66028874, 32760649, 4625401, 10647766, 62065063, 1220117,
-                    30494170, 22113633,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    62071265, 20526136, 64138304, 30492664, 82749837, 26852765, 40369837, 34480481,
-                    65424524, 20220784,
-                ]),
-                y_minus_x: FieldElement2625([
-                    13908495, 30005160, 30919927, 27280607, 45587000, 7989038, 9021034, 9078865,
-                    3353509, 4033511,
-                ]),
-                xy2d: FieldElement2625([
-                    37445433, 18440821, 32259990, 33209950, 24295848, 20642309, 23161162, 8839127,
-                    27485041, 7356032,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    76769853, 34259874, 79088928, 28184277, 65480320, 14661172, 60762722, 36179446,
-                    95539899, 50337029,
-                ]),
-                y_minus_x: FieldElement2625([
-                    43269631, 25243016, 41163352, 7480957, 49427195, 25200248, 44562891, 14150564,
-                    15970762, 4099461,
-                ]),
-                xy2d: FieldElement2625([
-                    29262576, 16756590, 26350592, 24760869, 8529670, 22346382, 13617292, 23617289,
-                    11465738, 8317062,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    41615764, 26591503, 99609063, 24135380, 44070139, 31252209, 82007500, 37402886,
-                    88078197, 28396915,
-                ]),
-                y_minus_x: FieldElement2625([
-                    46724414, 19206718, 48772458, 13884721, 34069410, 2842113, 45498038, 29904543,
-                    11177094, 14989547,
-                ]),
-                xy2d: FieldElement2625([
-                    42612143, 21838415, 16959895, 2278463, 12066309, 10137771, 13515641, 2581286,
-                    38621356, 9930239,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    49357223, 31456605, 83653163, 54099563, 118302919, 18605349, 18345766,
-                    53705111, 83400343, 28240393,
-                ]),
-                y_minus_x: FieldElement2625([
-                    33879670, 2553287, 32678213, 9875984, 8534129, 6889387, 57432090, 6957616,
-                    4368891, 9788741,
-                ]),
-                xy2d: FieldElement2625([
-                    16660737, 7281060, 56278106, 12911819, 20108584, 25452756, 45386327, 24941283,
-                    16250551, 22443329,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    47343357, 35944957, 117666696, 14161978, 69014150, 39969338, 71798447,
-                    10604806, 104027325, 4782745,
-                ]),
-                y_minus_x: FieldElement2625([
-                    65754325, 14736940, 59741422, 20261545, 7710541, 19398842, 57127292, 4383044,
-                    22546403, 437323,
-                ]),
-                xy2d: FieldElement2625([
-                    31665558, 21373968, 50922033, 1491338, 48740239, 3294681, 27343084, 2786261,
-                    36475274, 19457415,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    52641566, 32870716, 33734756, 41002983, 19294359, 14334329, 47418233, 35909750,
-                    47824192, 27440058,
-                ]),
-                y_minus_x: FieldElement2625([
-                    15121312, 17758270, 6377019, 27523071, 56310752, 20596586, 18952176, 15496498,
-                    37728731, 11754227,
-                ]),
-                xy2d: FieldElement2625([
-                    64471568, 20071356, 8488726, 19250536, 12728760, 31931939, 7141595, 11724556,
-                    22761615, 23420291,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    16918416, 11729663, 49025285, 36577418, 103201995, 53769203, 38367677,
-                    21327038, 32851221, 11717399,
-                ]),
-                y_minus_x: FieldElement2625([
-                    11166615, 7338049, 60386341, 4531519, 37640192, 26252376, 31474878, 3483633,
-                    65915689, 29523600,
-                ]),
-                xy2d: FieldElement2625([
-                    66923210, 9921304, 31456609, 20017994, 55095045, 13348922, 33142652, 6546660,
-                    47123585, 29606055,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    101757113, 44821142, 55911756, 25655328, 31703693, 37410335, 58571732,
-                    20721383, 36336829, 18068118,
-                ]),
-                y_minus_x: FieldElement2625([
-                    49102387, 12709067, 3991746, 27075244, 45617340, 23004006, 35973516, 17504552,
-                    10928916, 3011958,
-                ]),
-                xy2d: FieldElement2625([
-                    60151107, 17960094, 31696058, 334240, 29576716, 14796075, 36277808, 20749251,
-                    18008030, 10258577,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement2625([
-                    44660220, 49210000, 74127342, 29144428, 36794597, 32352840, 65255398, 34921551,
-                    92236737, 6671742,
-                ]),
-                y_minus_x: FieldElement2625([
-                    29701166, 19180498, 56230743, 9279287, 67091296, 13127209, 21382910, 11042292,
-                    25838796, 4642684,
-                ]),
-                xy2d: FieldElement2625([
-                    46678630, 14955536, 42982517, 8124618, 61739576, 27563961, 30468146, 19653792,
-                    18423288, 4177476,
-                ]),
-            },
-        ]),
-    ]);
+static ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN: EdwardsBasepointTable = EdwardsBasepointTable([
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                93076338, 52752828, 29566454, 37215328, 54414518, 37569218, 94653489, 21800160,
+                61029707, 35602036,
+            ]),
+            y_minus_x: FieldElement2625([
+                54563134, 934261, 64385954, 3049989, 66381436, 9406985, 12720692, 5043384,
+                19500929, 18085054,
+            ]),
+            xy2d: FieldElement2625([
+                58370664, 4489569, 9688441, 18769238, 10184608, 21191052, 29287918, 11864899,
+                42594502, 29115885,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                54292951, 54132516, 45527619, 11784319, 41753206, 30803714, 55390960, 29739860,
+                66750418, 23343128,
+            ]),
+            y_minus_x: FieldElement2625([
+                45405608, 6903824, 27185491, 6451973, 37531140, 24000426, 51492312, 11189267,
+                40279186, 28235350,
+            ]),
+            xy2d: FieldElement2625([
+                26966623, 11152617, 32442495, 15396054, 14353839, 20802097, 63980037, 24013313,
+                51636816, 29387734,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                82745136, 23865874, 24204772, 25642034, 67725840, 16869169, 94896463, 52336674,
+                28944398, 32004408,
+            ]),
+            y_minus_x: FieldElement2625([
+                16568933, 4717097, 55552716, 32452109, 15682895, 21747389, 16354576, 21778470,
+                7689661, 11199574,
+            ]),
+            xy2d: FieldElement2625([
+                30464137, 27578307, 55329429, 17883566, 23220364, 15915852, 7512774, 10017326,
+                49359771, 23634074,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                50071967, 13921891, 78054670, 27521000, 27105051, 17470053, 105291517, 15006021,
+                70393432, 27277891,
+            ]),
+            y_minus_x: FieldElement2625([
+                23599295, 25248385, 55915199, 25867015, 13236773, 10506355, 7464579, 9656445,
+                13059162, 10374397,
+            ]),
+            xy2d: FieldElement2625([
+                7798537, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, 29715387,
+                66467155, 33453106,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                77970208, 11473153, 27284546, 35535607, 37044514, 46132292, 99976748, 48069538,
+                118779423, 44373810,
+            ]),
+            y_minus_x: FieldElement2625([
+                4708026, 6336745, 20377586, 9066809, 55836755, 6594695, 41455196, 12483687,
+                54440373, 5581305,
+            ]),
+            xy2d: FieldElement2625([
+                19563141, 16186464, 37722007, 4097518, 10237984, 29206317, 28542349, 13850243,
+                43430843, 17738489,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                51736881, 20691677, 32573249, 4720197, 107781206, 39429941, 115029100, 18329611,
+                124398787, 21468653,
+            ]),
+            y_minus_x: FieldElement2625([
+                58559652, 109982, 15149363, 2178705, 22900618, 4543417, 3044240, 17864545, 1762327,
+                14866737,
+            ]),
+            xy2d: FieldElement2625([
+                48909169, 17603008, 56635573, 1707277, 49922944, 3916100, 38872452, 3959420,
+                27914454, 4383652,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                72262591, 43463716, 68832610, 30776557, 97632468, 39071304, 86589715, 38784565,
+                43156424, 18378665,
+            ]),
+            y_minus_x: FieldElement2625([
+                36839857, 30090922, 7665485, 10083793, 28475525, 1649722, 20654025, 16520125,
+                30598449, 7715701,
+            ]),
+            xy2d: FieldElement2625([
+                28881826, 14381568, 9657904, 3680757, 46927229, 7843315, 35708204, 1370707,
+                29794553, 32145132,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                14499452, 64379265, 33917749, 62854211, 95603724, 14271266, 97399599, 10876453,
+                33954766, 35936157,
+            ]),
+            y_minus_x: FieldElement2625([
+                59913433, 30899068, 52378708, 462250, 39384538, 3941371, 60872247, 3696004,
+                34808032, 15351954,
+            ]),
+            xy2d: FieldElement2625([
+                27431194, 8222322, 16448760, 29646437, 48401861, 11938354, 34147463, 30583916,
+                29551812, 10109425,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                53451805, 20399000, 102933977, 45331528, 88556249, 40073815, 64730579, 31926875,
+                77201646, 28790260,
+            ]),
+            y_minus_x: FieldElement2625([
+                27939166, 14210322, 4677035, 16277044, 44144402, 21156292, 34600109, 12005537,
+                49298737, 12803509,
+            ]),
+            xy2d: FieldElement2625([
+                17228999, 17892808, 65875336, 300139, 65883994, 21839654, 30364212, 24516238,
+                18016356, 4397660,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                56150002, 25864224, 4776340, 18600194, 27850027, 17952220, 40489757, 14544524,
+                49631360, 34537070,
+            ]),
+            y_minus_x: FieldElement2625([
+                29253598, 15796703, 64244882, 23645547, 10057022, 3163536, 7332899, 29434304,
+                46061167, 9934962,
+            ]),
+            xy2d: FieldElement2625([
+                5793284, 16271923, 42977250, 23438027, 29188559, 1206517, 52360934, 4559894,
+                36984942, 22656481,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                39464893, 55615857, 83391519, 22517938, 28414020, 52096600, 24191032, 38096129,
+                53770554, 39054999,
+            ]),
+            y_minus_x: FieldElement2625([
+                12650548, 32057319, 9052870, 11355358, 49428827, 25154267, 49678271, 12264342,
+                10874051, 13524335,
+            ]),
+            xy2d: FieldElement2625([
+                25556948, 30508442, 714650, 2510400, 23394682, 23139102, 33119037, 5080568,
+                44580805, 5376627,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                108129445, 29543378, 50095164, 30016803, 60382070, 35475328, 44787558, 57661420,
+                71644630, 35123438,
+            ]),
+            y_minus_x: FieldElement2625([
+                64853442, 14606629, 45416424, 25514613, 28430648, 8775819, 36614302, 3044289,
+                31848280, 12543772,
+            ]),
+            xy2d: FieldElement2625([
+                45080285, 2943892, 35251351, 6777305, 13784462, 29262229, 39731668, 31491700,
+                7718481, 14474653,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                69494160, 36008644, 44477543, 33601034, 62670928, 51428448, 67765827, 26317766,
+                91425031, 28300864,
+            ]),
+            y_minus_x: FieldElement2625([
+                13741529, 10911568, 33875447, 24950694, 46931033, 32521134, 33040650, 20129900,
+                46379407, 8321685,
+            ]),
+            xy2d: FieldElement2625([
+                21060490, 31341688, 15712756, 29218333, 1639039, 10656336, 23845965, 21679594,
+                57124405, 608371,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                53436113, 18466845, 56219170, 25997372, 61071954, 11305546, 68232832, 60328286,
+                94338261, 33578318,
+            ]),
+            y_minus_x: FieldElement2625([
+                43864724, 33260226, 55364135, 14712570, 37643165, 31524814, 12797023, 27114124,
+                65475458, 16678953,
+            ]),
+            xy2d: FieldElement2625([
+                37608244, 4770661, 51054477, 14001337, 7830047, 9564805, 65600720, 28759386,
+                49939598, 4904952,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                91168402, 48171434, 86146020, 18514523, 86874956, 18648002, 72278074, 16191879,
+                69237100, 29227598,
+            ]),
+            y_minus_x: FieldElement2625([
+                50127693, 4124965, 58568254, 22900634, 30336521, 19449185, 37302527, 916032,
+                60226322, 30567899,
+            ]),
+            xy2d: FieldElement2625([
+                44477957, 12419371, 59974635, 26081060, 50629959, 16739174, 285431, 2763829,
+                15736322, 4143876,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                69488197, 11839344, 62998462, 27565766, 78383161, 34349388, 67321664, 18959768,
+                23527083, 17096164,
+            ]),
+            y_minus_x: FieldElement2625([
+                33431108, 22423954, 49269897, 17927531, 8909498, 8376530, 34483524, 4087880,
+                51919953, 19138217,
+            ]),
+            xy2d: FieldElement2625([
+                1767664, 7197987, 53903638, 31531796, 54017513, 448825, 5799055, 4357868, 62334673,
+                17231393,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                6721947, 47388255, 43585475, 32003117, 93463156, 21691110, 90474010, 29604699,
+                74499753, 36314231,
+            ]),
+            y_minus_x: FieldElement2625([
+                4409022, 2052381, 23373853, 10530217, 7676779, 20668478, 21302352, 29290375,
+                1244379, 20634787,
+            ]),
+            xy2d: FieldElement2625([
+                62687625, 7169618, 4982368, 30596842, 30256824, 30776892, 14086412, 9208236,
+                15886429, 16489664,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                69104920, 43930080, 81455230, 46865633, 60234728, 17116020, 120524529, 33952799,
+                36502408, 32841498,
+            ]),
+            y_minus_x: FieldElement2625([
+                41801399, 9795879, 64331450, 14878808, 33577029, 14780362, 13348553, 12076947,
+                36272402, 5113181,
+            ]),
+            xy2d: FieldElement2625([
+                49338080, 11797795, 31950843, 13929123, 41220562, 12288343, 36767763, 26218045,
+                13847710, 5387222,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                48526682, 30138214, 84933706, 64767897, 89853205, 56666252, 75871923, 37172217,
+                47508201, 43925422,
+            ]),
+            y_minus_x: FieldElement2625([
+                20246567, 19185054, 22358228, 33010720, 18507282, 23140436, 14554436, 24808340,
+                32232923, 16763880,
+            ]),
+            xy2d: FieldElement2625([
+                9648486, 10094563, 26416693, 14745928, 36734546, 27081810, 11094160, 15689506,
+                3140038, 17044340,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                50948773, 39027126, 31895587, 38299426, 75932378, 43920116, 39884063, 43003044,
+                38334409, 33920726,
+            ]),
+            y_minus_x: FieldElement2625([
+                19153450, 11523972, 56012374, 27051289, 42461232, 5420646, 28344573, 8041113,
+                719605, 11671788,
+            ]),
+            xy2d: FieldElement2625([
+                8678006, 2694440, 60300850, 2517371, 4964326, 11152271, 51675948, 18287915,
+                27000812, 23358879,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                119059805, 40688742, 75748150, 30739554, 59873175, 43976173, 67672928, 38890528,
+                73859840, 19033405,
+            ]),
+            y_minus_x: FieldElement2625([
+                11836410, 29574944, 26297893, 16080799, 23455045, 15735944, 1695823, 24735310,
+                8169719, 16220347,
+            ]),
+            xy2d: FieldElement2625([
+                48993007, 8653646, 17578566, 27461813, 59083086, 17541668, 55964556, 30926767,
+                61118155, 19388398,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                43800347, 22586119, 82322091, 23473217, 36255258, 22504427, 27884328, 36401716,
+                69764724, 35292826,
+            ]),
+            y_minus_x: FieldElement2625([
+                39571412, 19301410, 41772562, 25551651, 57738101, 8129820, 21651608, 30315096,
+                48021414, 22549153,
+            ]),
+            xy2d: FieldElement2625([
+                1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408,
+                10478196, 8544890,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                32173083, 50979553, 24896205, 37475929, 22579055, 63698010, 19270447, 45771905,
+                84897880, 63712868,
+            ]),
+            y_minus_x: FieldElement2625([
+                36555903, 31326030, 51530034, 23407230, 13243888, 517024, 15479401, 29701199,
+                30460519, 1052596,
+            ]),
+            xy2d: FieldElement2625([
+                55493970, 13323617, 32618793, 8175907, 51878691, 12596686, 27491595, 28942073,
+                3179267, 24075541,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                99055914, 52742212, 62468279, 18214510, 51982886, 27514722, 52352086, 17142691,
+                19072639, 24043372,
+            ]),
+            y_minus_x: FieldElement2625([
+                11685058, 11822410, 3158003, 19601838, 33402193, 29389366, 5977895, 28339415,
+                473098, 5040608,
+            ]),
+            xy2d: FieldElement2625([
+                46817982, 8198641, 39698732, 11602122, 1290375, 30754672, 28326861, 1721092,
+                47550222, 30422825,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                74990396, 10687936, 74687587, 7738377, 48157852, 31000479, 88929649, 8076148,
+                39240368, 11538388,
+            ]),
+            y_minus_x: FieldElement2625([
+                47173198, 3899860, 18283497, 26752864, 51380203, 22305220, 8754524, 7446702,
+                61432810, 5797015,
+            ]),
+            xy2d: FieldElement2625([
+                55813245, 29760862, 51326753, 25589858, 12708868, 25098233, 2014098, 24503858,
+                64739691, 27677090,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                111745333, 55540121, 106535706, 34700805, 86065554, 50194990, 68301593, 29840232,
+                82232482, 44365936,
+            ]),
+            y_minus_x: FieldElement2625([
+                14352079, 30134717, 48166819, 10822654, 32750596, 4699007, 67038501, 15776355,
+                38222085, 21579878,
+            ]),
+            xy2d: FieldElement2625([
+                38867681, 25481956, 62129901, 28239114, 29416930, 1847569, 46454691, 17069576,
+                4714546, 23953777,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                15200313, 41923004, 86787964, 15970073, 35236190, 35513882, 24611598, 29010600,
+                55362987, 45894651,
+            ]),
+            y_minus_x: FieldElement2625([
+                12876937, 23074376, 33134380, 6590940, 60801088, 14872439, 9613953, 8241152,
+                15370987, 9608631,
+            ]),
+            xy2d: FieldElement2625([
+                62965568, 21540023, 8446280, 33162829, 4407737, 13629032, 59383996, 15866073,
+                38898243, 24740332,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                26660609, 51431209, 75502596, 33912478, 59707572, 34547419, 43204630, 34413128,
+                87680086, 41974987,
+            ]),
+            y_minus_x: FieldElement2625([
+                14620696, 13067227, 51661590, 8264466, 14106269, 15080814, 33531827, 12516406,
+                45534429, 21077682,
+            ]),
+            xy2d: FieldElement2625([
+                236881, 10476226, 57258, 18877408, 6472997, 2466984, 17258519, 7256740, 8791136,
+                15069930,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                68385255, 24182513, 90058498, 17231624, 43615824, 61406677, 81820737, 38428660,
+                36445723, 31223040,
+            ]),
+            y_minus_x: FieldElement2625([
+                5855666, 4990204, 53397016, 7294283, 59304582, 1924646, 65685689, 25642053,
+                34039526, 9234252,
+            ]),
+            xy2d: FieldElement2625([
+                20590503, 24535444, 31529743, 26201766, 64402029, 10650547, 31559055, 21944845,
+                18979185, 13396066,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                24474268, 38522535, 22267081, 37961786, 91172745, 25229251, 48291976, 13594781,
+                33514650, 40576390,
+            ]),
+            y_minus_x: FieldElement2625([
+                55541958, 26988926, 45743778, 15928891, 40950559, 4315420, 41160136, 29637754,
+                45628383, 12868081,
+            ]),
+            xy2d: FieldElement2625([
+                38473832, 13504660, 19988037, 31421671, 21078224, 6443208, 45662757, 2244499,
+                54653067, 25465048,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                36513317, 13793478, 61256044, 33873567, 41385691, 60844964, 100195408, 8957936,
+                51875216, 39094952,
+            ]),
+            y_minus_x: FieldElement2625([
+                55478669, 22050529, 58989363, 25911358, 2620055, 1022908, 43398120, 31985447,
+                50980335, 18591624,
+            ]),
+            xy2d: FieldElement2625([
+                23152952, 775386, 27395463, 14006635, 57407746, 4649511, 1689819, 892185, 55595587,
+                18348483,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                76878974, 43141169, 93604957, 37878551, 68665374, 30004407, 94562682, 38317558,
+                47929249, 39421565,
+            ]),
+            y_minus_x: FieldElement2625([
+                34343820, 1927589, 31726409, 28801137, 23962433, 17534932, 27846558, 5931263,
+                37359161, 17445976,
+            ]),
+            xy2d: FieldElement2625([
+                27461885, 30576896, 22380809, 1815854, 44075111, 30522493, 7283489, 18406359,
+                47582163, 7734628,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                59098581, 57518046, 55988459, 39750469, 29344157, 20123547, 74694158, 30377805,
+                85658360, 48856500,
+            ]),
+            y_minus_x: FieldElement2625([
+                34450527, 27383209, 59436070, 22502750, 6258877, 13504381, 10458790, 27135971,
+                58236621, 8424745,
+            ]),
+            xy2d: FieldElement2625([
+                24687186, 8613276, 36441818, 30320886, 1863891, 31723888, 19206233, 7134917,
+                55824382, 32725512,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                11334880, 24336410, 75134156, 46261950, 84632755, 23078360, 77352601, 18868970,
+                62042829, 50053268,
+            ]),
+            y_minus_x: FieldElement2625([
+                8911542, 6887158, 57524604, 26595841, 11145640, 24010752, 17303924, 19430194,
+                6536640, 10543906,
+            ]),
+            xy2d: FieldElement2625([
+                38162480, 15479762, 49642029, 568875, 65611181, 11223453, 64439674, 16928857,
+                39873154, 8876770,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                41365946, 54541999, 118567760, 32707823, 101191041, 32758142, 33627041, 15824473,
+                66504438, 24514614,
+            ]),
+            y_minus_x: FieldElement2625([
+                10330056, 70051, 7957388, 24551765, 9764901, 15609756, 27698697, 28664395, 1657393,
+                3084098,
+            ]),
+            xy2d: FieldElement2625([
+                10477963, 26084172, 12119565, 20303627, 29016246, 28188843, 31280318, 14396151,
+                36875289, 15272408,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                54820536, 36723894, 28813182, 16658753, 92225296, 27923965, 109043770, 54472724,
+                42094105, 35504935,
+            ]),
+            y_minus_x: FieldElement2625([
+                40928506, 9489186, 11053416, 18808271, 36055143, 5825629, 58724558, 24786899,
+                15341278, 8373727,
+            ]),
+            xy2d: FieldElement2625([
+                28685821, 7759505, 52730348, 21551571, 35137043, 4079241, 298136, 23321830,
+                64230656, 15190419,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                34175950, 47360767, 52771378, 51314432, 110213106, 10940926, 75778582, 36296824,
+                108184414, 60233859,
+            ]),
+            y_minus_x: FieldElement2625([
+                65528476, 21825014, 41129205, 22109408, 49696989, 22641577, 9291593, 17306653,
+                54954121, 6048604,
+            ]),
+            xy2d: FieldElement2625([
+                36803549, 14843443, 1539301, 11864366, 20201677, 1900163, 13934231, 5128323,
+                11213262, 9168384,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                40828313, 44562278, 19408959, 32613674, 115624762, 29225850, 62020803, 22449281,
+                20470156, 50710163,
+            ]),
+            y_minus_x: FieldElement2625([
+                43972811, 9282191, 14855179, 18164354, 59746048, 19145871, 44324911, 14461607,
+                14042978, 5230683,
+            ]),
+            xy2d: FieldElement2625([
+                29969548, 30812838, 50396996, 25001989, 9175485, 31085458, 21556950, 3506042,
+                61174973, 21104723,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                63964099, 42299092, 19704002, 38135710, 46678177, 6830682, 45824694, 42525944,
+                38569674, 48880994,
+            ]),
+            y_minus_x: FieldElement2625([
+                47644235, 10110287, 49846336, 30050539, 43608476, 1355668, 51585814, 15300987,
+                46594746, 9168259,
+            ]),
+            xy2d: FieldElement2625([
+                61755510, 4488612, 43305616, 16314346, 7780487, 17915493, 38160505, 9601604,
+                33087103, 24543045,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                47665675, 18041531, 46311396, 21109108, 104393280, 43783891, 39664534, 52108332,
+                61111992, 49219103,
+            ]),
+            y_minus_x: FieldElement2625([
+                23294591, 16921819, 44458082, 25083453, 27844203, 11461195, 13099750, 31094076,
+                18151675, 13417686,
+            ]),
+            xy2d: FieldElement2625([
+                42385932, 29377914, 35958184, 5988918, 40250079, 6685064, 1661597, 21002991,
+                15271675, 18101767,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                78541887, 20325766, 75348494, 28274914, 65123427, 32828713, 48410099, 35721975,
+                60187562, 20114249,
+            ]),
+            y_minus_x: FieldElement2625([
+                35672693, 15575145, 30436815, 12192228, 44645511, 9395378, 57191156, 24915434,
+                12215109, 12028277,
+            ]),
+            xy2d: FieldElement2625([
+                14098381, 6555944, 23007258, 5757252, 51681032, 20603929, 30123439, 4617780,
+                50208775, 32898803,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                63082644, 51868028, 79002030, 47273095, 52299401, 35401816, 51288864, 43708440,
+                91082124, 20869957,
+            ]),
+            y_minus_x: FieldElement2625([
+                40577025, 29858441, 65199965, 2534300, 35238307, 17004076, 18341389, 22134481,
+                32013173, 23450893,
+            ]),
+            xy2d: FieldElement2625([
+                41629544, 10876442, 55337778, 18929291, 54739296, 1838103, 21911214, 6354752,
+                4425632, 32716610,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                56675456, 18941465, 89338721, 30463384, 53917697, 34331160, 116802352, 55088400,
+                71833867, 47599401,
+            ]),
+            y_minus_x: FieldElement2625([
+                19268631, 26250011, 1555348, 8692754, 45634805, 23643767, 6347389, 32142648,
+                47586572, 17444675,
+            ]),
+            xy2d: FieldElement2625([
+                42244775, 12986007, 56209986, 27995847, 55796492, 33405905, 19541417, 8180106,
+                9282262, 10282508,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                108012627, 37982977, 58447667, 20360168, 71207265, 52943606, 15522533, 8372215,
+                72651459, 22851748,
+            ]),
+            y_minus_x: FieldElement2625([
+                56546323, 14895632, 26814552, 16880582, 49628109, 31065071, 64326972, 6993760,
+                49014979, 10114654,
+            ]),
+            xy2d: FieldElement2625([
+                47001790, 32625013, 31422703, 10427861, 59998115, 6150668, 38017109, 22025285,
+                25953724, 33448274,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                62874448, 59069571, 57989737, 36600431, 69210472, 54501569, 86498882, 39648727,
+                63793584, 46385556,
+            ]),
+            y_minus_x: FieldElement2625([
+                51110167, 7578151, 5310217, 14408357, 33560244, 33329692, 31575953, 6326196,
+                7381791, 31132593,
+            ]),
+            xy2d: FieldElement2625([
+                46206085, 3296810, 24736065, 17226043, 18374253, 7318640, 6295303, 8082724,
+                51746375, 12339663,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                27724736, 35845589, 73197064, 19369633, 68901590, 39412065, 80957277, 15768921,
+                92200031, 14856293,
+            ]),
+            y_minus_x: FieldElement2625([
+                48242193, 8331042, 24373479, 8541013, 66406866, 24284974, 12927299, 20858939,
+                44926390, 24541532,
+            ]),
+            xy2d: FieldElement2625([
+                55685435, 28132841, 11632844, 3405020, 30536730, 21880393, 39848098, 13866389,
+                30146206, 9142070,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                71032974, 18246915, 120400605, 23499470, 79400683, 32886065, 39406089, 9326383,
+                58871006, 37725725,
+            ]),
+            y_minus_x: FieldElement2625([
+                51186905, 16037936, 6713787, 16606682, 45496729, 2790943, 26396185, 3731949,
+                345228, 28091483,
+            ]),
+            xy2d: FieldElement2625([
+                45781307, 13448258, 25284571, 1143661, 20614966, 24705045, 2031538, 21163201,
+                50855680, 19972348,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                98125037, 16832002, 93480255, 52657630, 62081513, 14854136, 17477601, 37397089,
+                28012649, 50703444,
+            ]),
+            y_minus_x: FieldElement2625([
+                62033029, 9368965, 58546785, 28953529, 51858910, 6970559, 57918991, 16292056,
+                58241707, 3507939,
+            ]),
+            xy2d: FieldElement2625([
+                29439664, 3537914, 23333589, 6997794, 49553303, 22536363, 51899661, 18503164,
+                57943934, 6580395,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                54922984, 59429075, 83547131, 10826159, 58412047, 27318820, 84969307, 24280585,
+                65013061, 42858998,
+            ]),
+            y_minus_x: FieldElement2625([
+                20714545, 29217521, 29088194, 7406487, 11426967, 28458727, 14792666, 18945815,
+                5289420, 33077305,
+            ]),
+            xy2d: FieldElement2625([
+                50443312, 22903641, 60948518, 20248671, 9192019, 31751970, 17271489, 12349094,
+                26939669, 29802138,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                54218947, 9373457, 98704712, 16374214, 21471720, 13221525, 39825369, 54760304,
+                63410056, 33672318,
+            ]),
+            y_minus_x: FieldElement2625([
+                22263325, 26994382, 3984569, 22379786, 51994855, 32987646, 28311252, 5358056,
+                43789084, 541963,
+            ]),
+            xy2d: FieldElement2625([
+                16259200, 3261970, 2309254, 18019958, 50223152, 28972515, 24134069, 16848603,
+                53771797, 20002236,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                76487005, 20414245, 111371745, 20809166, 95307144, 59864765, 64709178, 32837080,
+                67799289, 48430675,
+            ]),
+            y_minus_x: FieldElement2625([
+                24977353, 33240048, 58884894, 20089345, 28432342, 32378079, 54040059, 21257083,
+                44727879, 6618998,
+            ]),
+            xy2d: FieldElement2625([
+                65570671, 11685645, 12944378, 13682314, 42719353, 19141238, 8044828, 19737104,
+                32239828, 27901670,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                48505798, 38317421, 66182613, 42439735, 105805247, 30367115, 76890510, 23204372,
+                32779358, 5095274,
+            ]),
+            y_minus_x: FieldElement2625([
+                34100715, 28339925, 34843976, 29869215, 9460460, 24227009, 42507207, 14506723,
+                21639561, 30924196,
+            ]),
+            xy2d: FieldElement2625([
+                50707921, 20442216, 25239337, 15531969, 3987758, 29055114, 65819361, 26690896,
+                17874573, 558605,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                53508716, 10240080, 76280747, 16131052, 46239610, 43154131, 100608350, 38634582,
+                69194755, 38674192,
+            ]),
+            y_minus_x: FieldElement2625([
+                44903700, 31034903, 50727262, 414690, 42089314, 2170429, 30634760, 25190818,
+                35108870, 27794547,
+            ]),
+            xy2d: FieldElement2625([
+                60263160, 15791201, 8550074, 32241778, 29928808, 21462176, 27534429, 26362287,
+                44757485, 12961481,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                42616785, 57538092, 10368192, 11582341, 110820435, 31309143, 83642793, 8206995,
+                104023076, 28394792,
+            ]),
+            y_minus_x: FieldElement2625([
+                55987368, 30172197, 2307365, 6362031, 66973409, 8868176, 50273234, 7031274,
+                7589640, 8945490,
+            ]),
+            xy2d: FieldElement2625([
+                34956097, 8917966, 6661220, 21876816, 65916803, 17761038, 7251488, 22372252,
+                24099108, 19098262,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                72128384, 25646961, 71352990, 18840075, 107284455, 40007595, 47990681, 20265406,
+                127985831, 56828126,
+            ]),
+            y_minus_x: FieldElement2625([
+                10853575, 10721687, 26480089, 5861829, 44113045, 1972174, 65242217, 22996533,
+                63745412, 27113307,
+            ]),
+            xy2d: FieldElement2625([
+                50106456, 5906789, 221599, 26991285, 7828207, 20305514, 24362660, 31546264,
+                53242455, 7421391,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                75248772, 27007934, 99366509, 27663885, 97484582, 1886180, 113042620, 48995682,
+                95935221, 29431402,
+            ]),
+            y_minus_x: FieldElement2625([
+                6267067, 9695052, 7709135, 16950835, 34239795, 31668296, 14795159, 25714308,
+                13746020, 31812384,
+            ]),
+            xy2d: FieldElement2625([
+                28584883, 7787108, 60375922, 18503702, 22846040, 25983196, 63926927, 33190907,
+                4771361, 25134474,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                92058101, 6376278, 39642383, 25379823, 48462709, 23623825, 100652432, 54967168,
+                70678489, 44897024,
+            ]),
+            y_minus_x: FieldElement2625([
+                26514970, 4740088, 27912651, 3697550, 19331575, 22082093, 6809885, 4608608,
+                7325975, 18753361,
+            ]),
+            xy2d: FieldElement2625([
+                55490446, 19000001, 42787651, 7655127, 65739590, 5214311, 39708324, 10258389,
+                49462170, 25367739,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                11431185, 49377439, 93679108, 47883555, 85138853, 38350513, 35662684, 49135095,
+                76389221, 29580744,
+            ]),
+            y_minus_x: FieldElement2625([
+                66948081, 23228174, 44253547, 29249434, 46247496, 19933429, 34297962, 22372809,
+                51563772, 4387440,
+            ]),
+            xy2d: FieldElement2625([
+                46309467, 12194511, 3937617, 27748540, 39954043, 9340369, 42594872, 8548136,
+                20617071, 26072431,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                66170039, 29623845, 58394552, 49679149, 91711988, 27329038, 53333511, 55233041,
+                91454545, 10325459,
+            ]),
+            y_minus_x: FieldElement2625([
+                47253587, 31985546, 44906155, 8714033, 14007766, 6928528, 16318175, 32543743,
+                4766742, 3552007,
+            ]),
+            xy2d: FieldElement2625([
+                45357481, 16823515, 1351762, 32751011, 63099193, 3950934, 3217514, 14481909,
+                10988822, 29559670,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                15564288, 19242862, 70210106, 39238579, 97555643, 25503075, 79785990, 27049088,
+                58813011, 46850436,
+            ]),
+            y_minus_x: FieldElement2625([
+                57666574, 6624295, 36809900, 21640754, 62437882, 31497052, 31521203, 9614054,
+                37108040, 12074673,
+            ]),
+            xy2d: FieldElement2625([
+                4771172, 33419193, 14290748, 20464580, 27992297, 14998318, 65694928, 31997715,
+                29832612, 17163397,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                7064865, 59567690, 115055764, 62041325, 48217593, 30641695, 92934105, 38847728,
+                39986203, 46656021,
+            ]),
+            y_minus_x: FieldElement2625([
+                64810282, 2439669, 59642254, 1719964, 39841323, 17225986, 32512468, 28236839,
+                36752793, 29363474,
+            ]),
+            xy2d: FieldElement2625([
+                37102324, 10162315, 33928688, 3981722, 50626726, 20484387, 14413973, 9515896,
+                19568978, 9628812,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                33053784, 33753789, 83003454, 35137490, 94489106, 28973996, 49269969, 61002024,
+                60817076, 36992171,
+            ]),
+            y_minus_x: FieldElement2625([
+                48129987, 3884492, 19469877, 12726490, 15913552, 13614290, 44147131, 70103,
+                7463304, 4176122,
+            ]),
+            xy2d: FieldElement2625([
+                39984863, 10659916, 11482427, 17484051, 12771466, 26919315, 34389459, 28231680,
+                24216881, 5944158,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                76002989, 41005405, 64444714, 57343111, 106137209, 21165315, 19345745, 48235228,
+                78741856, 5847884,
+            ]),
+            y_minus_x: FieldElement2625([
+                26942781, 31239115, 9129563, 28647825, 26024104, 11769399, 55590027, 6367193,
+                57381634, 4782139,
+            ]),
+            xy2d: FieldElement2625([
+                19916442, 28726022, 44198159, 22140040, 25606323, 27581991, 33253852, 8220911,
+                6358847, 31680575,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                67910273, 31472729, 16569427, 44619599, 29875703, 33651059, 75017251, 29073951,
+                53570360, 34941586,
+            ]),
+            y_minus_x: FieldElement2625([
+                19646058, 5720633, 55692158, 12814208, 11607948, 12749789, 14147075, 15156355,
+                45242033, 11835259,
+            ]),
+            xy2d: FieldElement2625([
+                19299512, 1155910, 28703737, 14890794, 2925026, 7269399, 26121523, 15467869,
+                40548314, 5052482,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                64091413, 43612637, 69089700, 37518674, 22160965, 12322533, 60677741, 20936246,
+                12228556, 26550755,
+            ]),
+            y_minus_x: FieldElement2625([
+                32944382, 14922211, 44263970, 5188527, 21913450, 24834489, 4001464, 13238564,
+                60994061, 8653814,
+            ]),
+            xy2d: FieldElement2625([
+                22865569, 28901697, 27603667, 21009037, 14348957, 8234005, 24808405, 5719875,
+                28483275, 2841751,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                117796741, 32441125, 66781144, 21446575, 21886281, 51556090, 65220896, 33238773,
+                87040921, 20815228,
+            ]),
+            y_minus_x: FieldElement2625([
+                55452759, 10087520, 58243976, 28018288, 47830290, 30498519, 3999227, 13239134,
+                62331395, 19644223,
+            ]),
+            xy2d: FieldElement2625([
+                1382174, 21859713, 17266789, 9194690, 53784508, 9720080, 20403944, 11284705,
+                53095046, 3093229,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                83759766, 56070931, 66044684, 35125060, 58779117, 40907184, 66806439, 16271224,
+                43059443, 26862581,
+            ]),
+            y_minus_x: FieldElement2625([
+                45197768, 27626490, 62497547, 27994275, 35364760, 22769138, 24123613, 15193618,
+                45456747, 16815042,
+            ]),
+            xy2d: FieldElement2625([
+                57172930, 29264984, 41829040, 4372841, 2087473, 10399484, 31870908, 14690798,
+                17361620, 11864968,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                55801216, 39764803, 80315437, 39360751, 105200035, 19587230, 54777658, 26067830,
+                41530403, 50868174,
+            ]),
+            y_minus_x: FieldElement2625([
+                14668443, 21284197, 26039038, 15305210, 25515617, 4542480, 10453892, 6577524,
+                9145645, 27110552,
+            ]),
+            xy2d: FieldElement2625([
+                5974855, 3053895, 57675815, 23169240, 35243739, 3225008, 59136222, 3936127,
+                61456591, 30504127,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                97734231, 28825031, 41552902, 20761565, 46624288, 41249530, 17097187, 50805368,
+                106217947, 35358062,
+            ]),
+            y_minus_x: FieldElement2625([
+                63555773, 9865098, 61880298, 4272700, 61435032, 16864731, 14911343, 12196514,
+                45703375, 7047411,
+            ]),
+            xy2d: FieldElement2625([
+                20093258, 9920966, 55970670, 28210574, 13161586, 12044805, 34252013, 4124600,
+                34765036, 23296865,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                46320021, 14084653, 53577151, 41396578, 19119037, 19731827, 71861240, 24839791,
+                45429205, 35842469,
+            ]),
+            y_minus_x: FieldElement2625([
+                40289628, 30270716, 29965058, 3039786, 52635099, 2540456, 29457502, 14625692,
+                42289247, 12570231,
+            ]),
+            xy2d: FieldElement2625([
+                66045306, 22002608, 16920317, 12494842, 1278292, 27685323, 45948920, 30055751,
+                55134159, 4724942,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                85069815, 21778897, 62967895, 23851901, 58232301, 32143814, 54201480, 24894499,
+                104641427, 35458286,
+            ]),
+            y_minus_x: FieldElement2625([
+                23134274, 19275300, 56426866, 31942495, 20684484, 15770816, 54119114, 3190295,
+                26955097, 14109738,
+            ]),
+            xy2d: FieldElement2625([
+                15308788, 5320727, 36995055, 19235554, 22902007, 7767164, 29425325, 22276870,
+                31960941, 11934971,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                39713134, 41990227, 71218507, 12222638, 109589860, 14818667, 87747037, 38429459,
+                77600255, 34934149,
+            ]),
+            y_minus_x: FieldElement2625([
+                53949449, 9197840, 3875503, 24618324, 65725151, 27674630, 33518458, 16176658,
+                21432314, 12180697,
+            ]),
+            xy2d: FieldElement2625([
+                55321537, 11500837, 13787581, 19721842, 44678184, 10140204, 1465425, 12689540,
+                56807545, 19681548,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                72522936, 18168390, 46101199, 43198001, 79943833, 34740580, 64485947, 32212200,
+                26128230, 39587344,
+            ]),
+            y_minus_x: FieldElement2625([
+                40771450, 19788269, 32496024, 19900513, 17847800, 20885276, 3604024, 8316894,
+                41233830, 23117073,
+            ]),
+            xy2d: FieldElement2625([
+                3296484, 6223048, 24680646, 21307972, 44056843, 5903204, 58246567, 28915267,
+                12376616, 3188849,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                29190450, 18895386, 27549112, 32370916, 70628929, 22857130, 32049514, 26245319,
+                50999629, 57256556,
+            ]),
+            y_minus_x: FieldElement2625([
+                52364359, 24245275, 735817, 32955454, 46701176, 28496527, 25246077, 17758763,
+                18640740, 32593455,
+            ]),
+            xy2d: FieldElement2625([
+                60180029, 17123636, 10361373, 5642961, 4910474, 12345252, 35470478, 33060001,
+                10530746, 1053335,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                104951742, 52922057, 120679510, 54991489, 47651803, 56453479, 102755357, 30605445,
+                24018830, 48581076,
+            ]),
+            y_minus_x: FieldElement2625([
+                44516310, 30409154, 64819587, 5953842, 53668675, 9425630, 25310643, 13003497,
+                64794073, 18408815,
+            ]),
+            xy2d: FieldElement2625([
+                39688860, 32951110, 59064879, 31885314, 41016598, 13987818, 39811242, 187898,
+                43942445, 31022696,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                45364447, 19743956, 68953703, 38575859, 123783328, 17642957, 76825530, 49821353,
+                62038646, 34280530,
+            ]),
+            y_minus_x: FieldElement2625([
+                29370903, 27500434, 7334070, 18212173, 9385286, 2247707, 53446902, 28714970,
+                30007387, 17731091,
+            ]),
+            xy2d: FieldElement2625([
+                66172485, 16086690, 23751945, 33011114, 65941325, 28365395, 9137108, 730663,
+                9835848, 4555336,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                43732410, 34964877, 44855110, 54209249, 97976497, 49381408, 17693929, 34099128,
+                55123565, 45977077,
+            ]),
+            y_minus_x: FieldElement2625([
+                31117226, 21338698, 53606025, 6561946, 57231997, 20796761, 61990178, 29457725,
+                29120152, 13924425,
+            ]),
+            xy2d: FieldElement2625([
+                49707966, 19321222, 19675798, 30819676, 56101901, 27695611, 57724924, 22236731,
+                7240930, 33317044,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                35747087, 22207651, 119210280, 27698212, 111764387, 54956091, 68331198, 37943914,
+                70402500, 51557120,
+            ]),
+            y_minus_x: FieldElement2625([
+                50424044, 19110186, 11038543, 11054958, 53307689, 30215898, 42789283, 7733546,
+                12796905, 27218610,
+            ]),
+            xy2d: FieldElement2625([
+                58349431, 22736595, 41689999, 10783768, 36493307, 23807620, 38855524, 3647835,
+                3222231, 22393970,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                85714958, 35247531, 108769341, 51938590, 71221215, 43599452, 23603892, 31506198,
+                59558087, 36039416,
+            ]),
+            y_minus_x: FieldElement2625([
+                9255298, 30423235, 54952701, 32550175, 13098012, 24339566, 16377219, 31451620,
+                47306788, 30519729,
+            ]),
+            xy2d: FieldElement2625([
+                44379556, 7496159, 61366665, 11329248, 19991973, 30206930, 35390715, 9936965,
+                37011176, 22935634,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                88987435, 28553134, 71447199, 47198328, 64071998, 13160959, 86817760, 5415496,
+                59748361, 29445138,
+            ]),
+            y_minus_x: FieldElement2625([
+                27736842, 10103576, 12500508, 8502413, 63695848, 23920873, 10436917, 32004156,
+                43449720, 25422331,
+            ]),
+            xy2d: FieldElement2625([
+                19492550, 21450067, 37426887, 32701801, 63900692, 12403436, 30066266, 8367329,
+                13243957, 8709688,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                79123950, 36355692, 95306994, 10151020, 91926984, 28811298, 55914672, 27908697,
+                72259831, 40828617,
+            ]),
+            y_minus_x: FieldElement2625([
+                2831347, 21062286, 1478974, 6122054, 23825128, 20820846, 31097298, 6083058,
+                31021603, 23760822,
+            ]),
+            xy2d: FieldElement2625([
+                64578913, 31324785, 445612, 10720828, 53259337, 22048494, 43601132, 16354464,
+                15067285, 19406725,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                74949787, 47592304, 100852864, 49488446, 66380650, 29911725, 88512851, 34612017,
+                47729401, 21151211,
+            ]),
+            y_minus_x: FieldElement2625([
+                915865, 17085158, 15608284, 24765302, 42751837, 6060029, 49737545, 8410996,
+                59888403, 16527024,
+            ]),
+            xy2d: FieldElement2625([
+                32922597, 32997445, 20336073, 17369864, 10903704, 28169945, 16957573, 52992,
+                23834301, 6588044,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                32752011, 44787382, 70490858, 24839565, 22652987, 22810329, 17159698, 50243539,
+                46794283, 32248439,
+            ]),
+            y_minus_x: FieldElement2625([
+                62419196, 9166775, 41398568, 22707125, 11576751, 12733943, 7924251, 30802151,
+                1976122, 26305405,
+            ]),
+            xy2d: FieldElement2625([
+                21251203, 16309901, 64125849, 26771309, 30810596, 12967303, 156041, 30183180,
+                12331344, 25317235,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                75760459, 29077399, 118132091, 28557436, 80111370, 36505236, 96163290, 28447461,
+                77116999, 28886530,
+            ]),
+            y_minus_x: FieldElement2625([
+                31486061, 15114593, 52847614, 12951353, 14369431, 26166587, 16347320, 19892343,
+                8684154, 23021480,
+            ]),
+            xy2d: FieldElement2625([
+                19443825, 11385320, 24468943, 23895364, 43189605, 2187568, 40845657, 27467510,
+                31316347, 14219878,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                38514355, 1193784, 99354083, 11392484, 31092169, 49277233, 94254877, 40546840,
+                29126554, 42761822,
+            ]),
+            y_minus_x: FieldElement2625([
+                32382916, 1110093, 18477781, 11028262, 39697101, 26006320, 62128346, 10843781,
+                59151264, 19118701,
+            ]),
+            xy2d: FieldElement2625([
+                2814918, 7836403, 27519878, 25686276, 46214848, 22000742, 45614304, 8550129,
+                28346258, 1994730,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                47530546, 41639976, 53108344, 29605809, 69894701, 17323124, 47591912, 40729325,
+                22628101, 41669612,
+            ]),
+            y_minus_x: FieldElement2625([
+                36703732, 955510, 55975026, 18476362, 34661776, 20276352, 41457285, 3317159,
+                57165847, 930271,
+            ]),
+            xy2d: FieldElement2625([
+                51805164, 26720662, 28856489, 1357446, 23421993, 1057177, 24091212, 32165462,
+                44343487, 22903716,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                44357614, 28250434, 54201256, 54339997, 51297351, 25757378, 52269845, 50554643,
+                65241844, 41953401,
+            ]),
+            y_minus_x: FieldElement2625([
+                35139535, 2106402, 62372504, 1362500, 12813763, 16200670, 22981545, 27263159,
+                18009407, 17781660,
+            ]),
+            xy2d: FieldElement2625([
+                49887941, 24009210, 39324209, 14166834, 29815394, 7444469, 29551787, 29827013,
+                19288548, 1325865,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                82209002, 51273111, 110293748, 32549332, 107767535, 49063838, 79485593, 30075285,
+                100274970, 25511681,
+            ]),
+            y_minus_x: FieldElement2625([
+                20909212, 13023121, 57899112, 16251777, 61330449, 25459517, 12412150, 10018715,
+                2213263, 19676059,
+            ]),
+            xy2d: FieldElement2625([
+                32529814, 22479743, 30361438, 16864679, 57972923, 1513225, 22922121, 6382134,
+                61341936, 8371347,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                77032307, 44825931, 79725657, 37099153, 104219359, 31832804, 12891686, 25361300,
+                40665920, 44040575,
+            ]),
+            y_minus_x: FieldElement2625([
+                44511638, 26541766, 8587002, 25296571, 4084308, 20584370, 361725, 2610596,
+                43187334, 22099236,
+            ]),
+            xy2d: FieldElement2625([
+                5408392, 32417741, 62139741, 10561667, 24145918, 14240566, 31319731, 29318891,
+                19985174, 30118346,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                53114388, 50171252, 81658109, 36895530, 99264821, 13648975, 49531796, 8849296,
+                67173894, 41925115,
+            ]),
+            y_minus_x: FieldElement2625([
+                58787919, 21504805, 31204562, 5839400, 46481576, 32497154, 47665921, 6922163,
+                12743482, 23753914,
+            ]),
+            xy2d: FieldElement2625([
+                64747493, 12678784, 28815050, 4759974, 43215817, 4884716, 23783145, 11038569,
+                18800704, 255233,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                61839168, 31780545, 13957885, 41545147, 23132994, 34283205, 80502710, 42621388,
+                86367551, 52355070,
+            ]),
+            y_minus_x: FieldElement2625([
+                64172210, 22726896, 56676774, 14516792, 63468078, 4372540, 35173943, 2209389,
+                65584811, 2055793,
+            ]),
+            xy2d: FieldElement2625([
+                580882, 16705327, 5468415, 30871414, 36182444, 18858431, 59905517, 24560042,
+                37087844, 7394434,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                90947654, 35377159, 118479284, 48797157, 75426955, 29821327, 45436683, 30062226,
+                62287122, 48354352,
+            ]),
+            y_minus_x: FieldElement2625([
+                13345610, 9759151, 3371034, 17416641, 16353038, 8577942, 31129804, 13496856,
+                58052846, 7402517,
+            ]),
+            xy2d: FieldElement2625([
+                2286874, 29118501, 47066405, 31546095, 53412636, 5038121, 11006906, 17794080,
+                8205060, 1607563,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                81522931, 25552299, 70440693, 63900646, 89358013, 27960243, 85473524, 30647473,
+                30019586, 24525154,
+            ]),
+            y_minus_x: FieldElement2625([
+                39420813, 1585952, 56333811, 931068, 37988643, 22552112, 52698034, 12029092,
+                9944378, 8024,
+            ]),
+            xy2d: FieldElement2625([
+                4368715, 29844802, 29874199, 18531449, 46878477, 22143727, 50994269, 32555346,
+                58966475, 5640029,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                77408455, 13746482, 11661824, 16234854, 74739102, 5998373, 76918751, 16859867,
+                82328661, 19226648,
+            ]),
+            y_minus_x: FieldElement2625([
+                27425505, 27835351, 3055005, 10660664, 23458024, 595578, 51710259, 32381236,
+                48766680, 9742716,
+            ]),
+            xy2d: FieldElement2625([
+                6744077, 2427284, 26042789, 2720740, 66260958, 1118973, 32324614, 7406442,
+                12420155, 1994844,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                81121366, 62084143, 115833273, 23975961, 107732385, 29617991, 121184249, 22644627,
+                91428792, 27108098,
+            ]),
+            y_minus_x: FieldElement2625([
+                16412671, 29047065, 10772640, 15929391, 50040076, 28895810, 10555944, 23070383,
+                37006495, 28815383,
+            ]),
+            xy2d: FieldElement2625([
+                22397363, 25786748, 57815702, 20761563, 17166286, 23799296, 39775798, 6199365,
+                21880021, 21303672,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                62825538, 5368522, 35991846, 41717820, 103894664, 36763558, 83666014, 42445160,
+                75949308, 38512191,
+            ]),
+            y_minus_x: FieldElement2625([
+                51661137, 709326, 60189418, 22684253, 37330941, 6522331, 45388683, 12130071,
+                52312361, 5005756,
+            ]),
+            xy2d: FieldElement2625([
+                64994094, 19246303, 23019041, 15765735, 41839181, 6002751, 10183197, 20315106,
+                50713577, 31378319,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                115191953, 35186435, 80575154, 59113763, 110577275, 16573535, 35094956, 30497327,
+                22208661, 35554900,
+            ]),
+            y_minus_x: FieldElement2625([
+                3065054, 32141671, 41510189, 33192999, 49425798, 27851016, 58944651, 11248526,
+                63417650, 26140247,
+            ]),
+            xy2d: FieldElement2625([
+                10379208, 27508878, 8877318, 1473647, 37817580, 21046851, 16690914, 2553332,
+                63976176, 16400288,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                82825513, 34808697, 115745037, 41000704, 58659945, 6344163, 45011593, 26268851,
+                26894936, 42686498,
+            ]),
+            y_minus_x: FieldElement2625([
+                24158868, 12938817, 11085297, 25376834, 39045385, 29097348, 36532400, 64451,
+                60291780, 30861549,
+            ]),
+            xy2d: FieldElement2625([
+                13488534, 7794716, 22236231, 5989356, 25426474, 20976224, 2350709, 30135921,
+                62420857, 2364225,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                83443897, 9132433, 92749446, 40233319, 68834491, 42072368, 55301839, 21856974,
+                15445874, 25756331,
+            ]),
+            y_minus_x: FieldElement2625([
+                29004188, 25687351, 28661401, 32914020, 54314860, 25611345, 31863254, 29418892,
+                66830813, 17795152,
+            ]),
+            xy2d: FieldElement2625([
+                60986784, 18687766, 38493958, 14569918, 56250865, 29962602, 10343411, 26578142,
+                37280576, 22738620,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                94190495, 37018415, 14099041, 29036828, 68725166, 27348827, 96651499, 15372178,
+                84402661, 34515140,
+            ]),
+            y_minus_x: FieldElement2625([
+                20263915, 11434237, 61343429, 11236809, 13505955, 22697330, 50997518, 6493121,
+                47724353, 7639713,
+            ]),
+            xy2d: FieldElement2625([
+                64278047, 18715199, 25403037, 25339236, 58791851, 17380732, 18006286, 17510682,
+                29994676, 17746311,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                76878673, 38757082, 110060329, 19923038, 106166724, 21992806, 42495722, 53248081,
+                35924287, 34263895,
+            ]),
+            y_minus_x: FieldElement2625([
+                12286395, 13076066, 45333675, 32377809, 42105665, 4057651, 35090736, 24663557,
+                16102006, 13205847,
+            ]),
+            xy2d: FieldElement2625([
+                13733362, 5599946, 10557076, 3195751, 61550873, 8536969, 41568694, 8525971,
+                10151379, 10394400,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                71133505, 17416880, 89545125, 12276533, 58009849, 64422764, 86807091, 11743038,
+                100915394, 42488844,
+            ]),
+            y_minus_x: FieldElement2625([
+                51229064, 29029191, 58528116, 30620370, 14634844, 32856154, 57659786, 3137093,
+                55571978, 11721157,
+            ]),
+            xy2d: FieldElement2625([
+                17555920, 28540494, 8268605, 2331751, 44370049, 9761012, 9319229, 8835153,
+                57903375, 32274386,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                66647436, 25724417, 87722981, 16688287, 59594098, 28747312, 89409167, 34059860,
+                73217325, 27371016,
+            ]),
+            y_minus_x: FieldElement2625([
+                62038564, 12367916, 36445330, 3234472, 32617080, 25131790, 29880582, 20071101,
+                40210373, 25686972,
+            ]),
+            xy2d: FieldElement2625([
+                35133562, 5726538, 26934134, 10237677, 63935147, 32949378, 24199303, 3795095,
+                7592688, 18562353,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                21594413, 18590204, 84575271, 63031641, 32537082, 36294330, 73516586, 12018832,
+                38852812, 37852843,
+            ]),
+            y_minus_x: FieldElement2625([
+                46458361, 21592935, 39872588, 570497, 3767144, 31836892, 13891941, 31985238,
+                13717173, 10805743,
+            ]),
+            xy2d: FieldElement2625([
+                52432215, 17910135, 15287173, 11927123, 24177847, 25378864, 66312432, 14860608,
+                40169934, 27690595,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                80071405, 38866230, 57048095, 45212711, 85964149, 25600230, 80395126, 54300159,
+                62727806, 9882021,
+            ]),
+            y_minus_x: FieldElement2625([
+                18512060, 11319350, 46985740, 15090308, 18818594, 5271736, 44380960, 3666878,
+                43141434, 30255002,
+            ]),
+            xy2d: FieldElement2625([
+                60319844, 30408388, 16192428, 13241070, 15898607, 19348318, 57023983, 26893321,
+                64705764, 5276064,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                97278672, 28236783, 93415069, 55358004, 94923826, 40623698, 74261714, 37239413,
+                68558087, 13082860,
+            ]),
+            y_minus_x: FieldElement2625([
+                10342807, 3098505, 2119311, 193222, 25702612, 12233820, 23697382, 15056736,
+                46092426, 25352431,
+            ]),
+            xy2d: FieldElement2625([
+                33958735, 3261607, 22745853, 7948688, 19370557, 18376767, 40936887, 6482813,
+                56808784, 22494330,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                32869439, 61700319, 25609741, 49233102, 56421094, 51637792, 26112419, 36075440,
+                44444575, 40459246,
+            ]),
+            y_minus_x: FieldElement2625([
+                29506904, 4457497, 3377935, 23757988, 36598817, 12935079, 1561737, 3841096,
+                38105225, 26896789,
+            ]),
+            xy2d: FieldElement2625([
+                10340844, 26924055, 48452231, 31276001, 12621150, 20215377, 30878496, 21730062,
+                41524312, 5181965,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                25940096, 20896407, 17324187, 56801490, 58437394, 15029093, 91505116, 17103509,
+                64786011, 21165857,
+            ]),
+            y_minus_x: FieldElement2625([
+                45343161, 9916822, 65808455, 4079497, 66080518, 11909558, 1782390, 12641087,
+                20603771, 26992690,
+            ]),
+            xy2d: FieldElement2625([
+                48226577, 21881051, 24849421, 11501709, 13161720, 28785558, 1925522, 11914390,
+                4662781, 7820689,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                79349895, 33128449, 75241554, 42948365, 32846759, 31954812, 29749455, 45727356,
+                83245615, 48818451,
+            ]),
+            y_minus_x: FieldElement2625([
+                56758909, 18873868, 58896884, 2330219, 49446315, 19008651, 10658212, 6671822,
+                19012087, 3772772,
+            ]),
+            xy2d: FieldElement2625([
+                3753511, 30133366, 10617073, 2028709, 14841030, 26832768, 28718731, 17791548,
+                20527770, 12988982,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                52286341, 27757162, 63400876, 12689772, 66209881, 22639565, 110034681, 56543919,
+                70408527, 54683910,
+            ]),
+            y_minus_x: FieldElement2625([
+                50331161, 18301130, 57466446, 4978982, 3308785, 8755439, 6943197, 6461331,
+                41525717, 8991217,
+            ]),
+            xy2d: FieldElement2625([
+                49882601, 1816361, 65435576, 27467992, 31783887, 25378441, 34160718, 7417949,
+                36866577, 1507264,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                29692644, 40384323, 56610063, 37889327, 88054838, 21647935, 38221255, 41763822,
+                14606361, 22907359,
+            ]),
+            y_minus_x: FieldElement2625([
+                63627275, 8707080, 32188102, 5672294, 22096700, 1711240, 34088169, 9761486,
+                4170404, 31469107,
+            ]),
+            xy2d: FieldElement2625([
+                55521375, 14855944, 62981086, 32022574, 40459774, 15084045, 22186522, 16002000,
+                52832027, 25153633,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                62297389, 47315460, 35404986, 31070512, 63796392, 41423478, 59995291, 23934339,
+                80349708, 44520301,
+            ]),
+            y_minus_x: FieldElement2625([
+                59366301, 25297669, 52340529, 19898171, 43876480, 12387165, 4498947, 14147411,
+                29514390, 4302863,
+            ]),
+            xy2d: FieldElement2625([
+                53695440, 21146572, 20757301, 19752600, 14785142, 8976368, 62047588, 31410058,
+                17846987, 19582505,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                64864393, 32799703, 62511833, 32488122, 60861691, 35009730, 112569999, 24339641,
+                61886162, 46204698,
+            ]),
+            y_minus_x: FieldElement2625([
+                57202067, 17484121, 21134159, 12198166, 40044289, 708125, 387813, 13770293,
+                47974538, 10958662,
+            ]),
+            xy2d: FieldElement2625([
+                22470984, 12369526, 23446014, 28113323, 45588061, 23855708, 55336367, 21979976,
+                42025033, 4271861,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                109048144, 57055220, 47199530, 48916026, 61124505, 35713623, 67184238, 62830334,
+                101691505, 42024103,
+            ]),
+            y_minus_x: FieldElement2625([
+                15854951, 4148314, 58214974, 7259001, 11666551, 13824734, 36577666, 2697371,
+                24154791, 24093489,
+            ]),
+            xy2d: FieldElement2625([
+                15446137, 17747788, 29759746, 14019369, 30811221, 23944241, 35526855, 12840103,
+                24913809, 9815020,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                62399559, 27940162, 35267365, 21265538, 52665326, 44353845, 125114051, 46993199,
+                85843991, 43020669,
+            ]),
+            y_minus_x: FieldElement2625([
+                11933045, 9281483, 5081055, 28370608, 64480701, 28648802, 59381042, 22658328,
+                44380208, 16199063,
+            ]),
+            xy2d: FieldElement2625([
+                14576810, 379472, 40322331, 25237195, 37682355, 22741457, 67006097, 1876698,
+                30801119, 2164795,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                15995067, 36754305, 13672554, 13712240, 47730029, 62461217, 121136116, 51612593,
+                53616055, 34822483,
+            ]),
+            y_minus_x: FieldElement2625([
+                56818250, 29895392, 63822271, 10948817, 23037027, 3794475, 63638526, 20954210,
+                50053494, 3565903,
+            ]),
+            xy2d: FieldElement2625([
+                29210069, 24135095, 61189071, 28601646, 10834810, 20226706, 50596761, 22733718,
+                39946641, 19523900,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                121055819, 49063018, 83772567, 25398281, 38758921, 42573554, 37925442, 29785008,
+                69352974, 19552452,
+            ]),
+            y_minus_x: FieldElement2625([
+                61955989, 29753495, 57802388, 27482848, 16243068, 14684434, 41435776, 17373631,
+                13491505, 4641841,
+            ]),
+            xy2d: FieldElement2625([
+                10813398, 643330, 47920349, 32825515, 30292061, 16954354, 27548446, 25833190,
+                14476988, 20787001,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                77400943, 9984944, 73590300, 41834336, 59857349, 40587174, 27282936, 31910173,
+                106304917, 12651322,
+            ]),
+            y_minus_x: FieldElement2625([
+                35923332, 32741048, 22271203, 11835308, 10201545, 15351028, 17099662, 3988035,
+                21721536, 30405492,
+            ]),
+            xy2d: FieldElement2625([
+                10202177, 27008593, 35735631, 23979793, 34958221, 25434748, 54202543, 3852693,
+                13216206, 14842320,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                51293205, 22953365, 60569911, 26295436, 60124204, 26972653, 35608016, 47320255,
+                106783330, 43454614,
+            ]),
+            y_minus_x: FieldElement2625([
+                14465486, 19721101, 34974879, 18815558, 39665676, 12990491, 33046193, 15796406,
+                60056998, 25514317,
+            ]),
+            xy2d: FieldElement2625([
+                30924398, 25274812, 6359015, 20738097, 16508376, 9071735, 41620263, 15413634,
+                9524356, 26535554,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                12274182, 20378885, 99736504, 65323537, 73845487, 13267304, 72346523, 28444948,
+                82772379, 37590215,
+            ]),
+            y_minus_x: FieldElement2625([
+                64157555, 8903984, 17349946, 601635, 50676049, 28941875, 53376124, 17665097,
+                44850385, 4659090,
+            ]),
+            xy2d: FieldElement2625([
+                50192582, 28601458, 36715152, 18395610, 20774811, 15897498, 5736189, 15026997,
+                64930608, 20098846,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                58249865, 31335375, 28571665, 56953346, 66634395, 23448733, 63307367, 33832526,
+                23440561, 33264224,
+            ]),
+            y_minus_x: FieldElement2625([
+                10226222, 27625730, 15139955, 120818, 52241171, 5218602, 32937275, 11551483,
+                50536904, 26111567,
+            ]),
+            xy2d: FieldElement2625([
+                17932739, 21117156, 43069306, 10749059, 11316803, 7535897, 22503767, 5561594,
+                63462240, 3898660,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                74858752, 32584864, 50769132, 33537967, 42090752, 15122142, 65535333, 40706961,
+                88940025, 34799664,
+            ]),
+            y_minus_x: FieldElement2625([
+                26958440, 18896406, 4314585, 8346991, 61431100, 11960071, 34519569, 32934396,
+                36706772, 16838219,
+            ]),
+            xy2d: FieldElement2625([
+                54942968, 9166946, 33491384, 13673479, 29787085, 13096535, 6280834, 14587357,
+                44770839, 13987524,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                109867800, 7778773, 88224864, 49127028, 62275597, 28196653, 62807965, 28429792,
+                59639082, 30696363,
+            ]),
+            y_minus_x: FieldElement2625([
+                9681908, 26817309, 35157219, 13591837, 60225043, 386949, 31622781, 6439245,
+                52527852, 4091396,
+            ]),
+            xy2d: FieldElement2625([
+                58682418, 1470726, 38999185, 31957441, 3978626, 28430809, 47486180, 12092162,
+                29077877, 18812444,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                72378032, 26694705, 120987516, 25533715, 25932562, 35317984, 61502753, 28048550,
+                47091016, 2357888,
+            ]),
+            y_minus_x: FieldElement2625([
+                32264008, 18146780, 61721128, 32394338, 65017541, 29607531, 23104803, 20684524,
+                5727337, 189038,
+            ]),
+            xy2d: FieldElement2625([
+                14609104, 24599962, 61108297, 16931650, 52531476, 25810533, 40363694, 10942114,
+                41219933, 18669734,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                87622345, 39112362, 51504250, 41383962, 93522806, 31535027, 45729895, 41026212,
+                13913676, 28416557,
+            ]),
+            y_minus_x: FieldElement2625([
+                41534488, 11967825, 29233242, 12948236, 60354399, 4713226, 58167894, 14059179,
+                12878652, 8511905,
+            ]),
+            xy2d: FieldElement2625([
+                41452044, 3393630, 64153449, 26478905, 64858154, 9366907, 36885446, 6812973,
+                5568676, 30426776,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                78738868, 12144453, 69225203, 47160468, 94487748, 49231348, 49700110, 20050058,
+                119822531, 8070816,
+            ]),
+            y_minus_x: FieldElement2625([
+                27117677, 23547054, 35826092, 27984343, 1127281, 12772488, 37262958, 10483305,
+                55556115, 32525717,
+            ]),
+            xy2d: FieldElement2625([
+                10637467, 27866368, 5674780, 1072708, 40765276, 26572129, 65424888, 9177852,
+                39615702, 15431202,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                87633990, 44446997, 121475255, 12779441, 104724694, 16150073, 105977209, 14943140,
+                52052074, 25618500,
+            ]),
+            y_minus_x: FieldElement2625([
+                37084402, 5626925, 66557297, 23573344, 753597, 11981191, 25244767, 30314666,
+                63752313, 9594023,
+            ]),
+            xy2d: FieldElement2625([
+                43356201, 2636869, 61944954, 23450613, 585133, 7877383, 11345683, 27062142,
+                13352334, 22577348,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                65177046, 28146973, 70413512, 54223994, 84124668, 62231772, 104433876, 25801948,
+                53893326, 33235227,
+            ]),
+            y_minus_x: FieldElement2625([
+                20239939, 6607058, 6203985, 3483793, 48721888, 32775202, 46385121, 15077869,
+                44358105, 14523816,
+            ]),
+            xy2d: FieldElement2625([
+                27406023, 27512775, 27423595, 29057038, 4996213, 10002360, 38266833, 29008937,
+                36936121, 28748764,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                78483087, 12660714, 17861383, 21013599, 78044431, 34653658, 53222787, 24462691,
+                106490683, 44912934,
+            ]),
+            y_minus_x: FieldElement2625([
+                54378055, 10311866, 1510375, 10778093, 64989409, 24408729, 32676002, 11149336,
+                40985213, 4985767,
+            ]),
+            xy2d: FieldElement2625([
+                48012542, 341146, 60911379, 33315398, 15756972, 24757770, 66125820, 13794113,
+                47694557, 17933176,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                73598907, 45494717, 25495922, 59382504, 75777235, 24803115, 70476466, 40524436,
+                65417798, 58104073,
+            ]),
+            y_minus_x: FieldElement2625([
+                1656478, 13457317, 15370807, 6364910, 13605745, 8362338, 47934242, 28078708,
+                50312267, 28522993,
+            ]),
+            xy2d: FieldElement2625([
+                44835530, 20030007, 67044178, 29220208, 48503227, 22632463, 46537798, 26546453,
+                67009010, 23317098,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                84856310, 43593691, 86477162, 29503840, 46478228, 51067577, 99101545, 17696455,
+                104957364, 28042459,
+            ]),
+            y_minus_x: FieldElement2625([
+                31932008, 28568291, 47496481, 16366579, 22023614, 88450, 11371999, 29810185,
+                4882241, 22927527,
+            ]),
+            xy2d: FieldElement2625([
+                29796488, 37186, 19818052, 10115756, 55279832, 3352735, 18551198, 3272828,
+                61917932, 29392022,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                12501267, 4044383, 58495907, 53716478, 101787674, 38691029, 47878485, 30024734,
+                330069, 29895023,
+            ]),
+            y_minus_x: FieldElement2625([
+                6384877, 2899513, 17807477, 7663917, 64749976, 12363164, 25366522, 24980540,
+                66837568, 12071498,
+            ]),
+            xy2d: FieldElement2625([
+                58743349, 29511910, 25133447, 29037077, 60897836, 2265926, 34339246, 1936674,
+                61949167, 3829362,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                28425947, 27718999, 66531773, 28857233, 120000172, 40425360, 75030413, 26986644,
+                26333139, 47822096,
+            ]),
+            y_minus_x: FieldElement2625([
+                56041645, 11871230, 27385719, 22994888, 62522949, 22365119, 10004785, 24844944,
+                45347639, 8930323,
+            ]),
+            xy2d: FieldElement2625([
+                45911060, 17158396, 25654215, 31829035, 12282011, 11008919, 1541940, 4757911,
+                40617363, 17145491,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                80646107, 25794941, 113612887, 44516357, 61186043, 20336366, 53952279, 39771685,
+                118274028, 47369420,
+            ]),
+            y_minus_x: FieldElement2625([
+                49686272, 15157789, 18705543, 29619, 24409717, 33293956, 27361680, 9257833,
+                65152338, 31777517,
+            ]),
+            xy2d: FieldElement2625([
+                42063564, 23362465, 15366584, 15166509, 54003778, 8423555, 37937324, 12361134,
+                48422886, 4578289,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                91688613, 3711569, 68451186, 22374305, 107212592, 47679386, 44564334, 14074918,
+                21964432, 41789689,
+            ]),
+            y_minus_x: FieldElement2625([
+                60580251, 31142934, 9442965, 27628844, 12025639, 32067012, 64127349, 31885225,
+                13006805, 2355433,
+            ]),
+            xy2d: FieldElement2625([
+                50803946, 19949172, 60476436, 28412082, 16974358, 22643349, 27202043, 1719366,
+                1141648, 20758196,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                54244901, 53888877, 58790596, 56090772, 60298717, 28710537, 13475065, 30420460,
+                32674894, 47269477,
+            ]),
+            y_minus_x: FieldElement2625([
+                11423316, 28086373, 32344215, 8962751, 24989809, 9241752, 53843611, 16086211,
+                38367983, 17912338,
+            ]),
+            xy2d: FieldElement2625([
+                65699196, 12530727, 60740138, 10847386, 19531186, 19422272, 55399715, 7791793,
+                39862921, 4383346,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                38137947, 38825878, 65842854, 23817442, 121762491, 50287029, 62246456, 62202414,
+                27193555, 39799623,
+            ]),
+            y_minus_x: FieldElement2625([
+                51914908, 5362277, 65324971, 2695833, 4960227, 12840725, 23061898, 3260492,
+                22510453, 8577507,
+            ]),
+            xy2d: FieldElement2625([
+                54476394, 11257345, 34415870, 13548176, 66387860, 10879010, 31168030, 13952092,
+                37537372, 29918525,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                70986166, 23981692, 99525555, 38959755, 56104456, 19897796, 70868632, 45489751,
+                72720723, 41718449,
+            ]),
+            y_minus_x: FieldElement2625([
+                50833043, 14667796, 15906460, 12155291, 44997715, 24514713, 32003001, 24722143,
+                5773084, 25132323,
+            ]),
+            xy2d: FieldElement2625([
+                43320746, 25300131, 1950874, 8937633, 18686727, 16459170, 66203139, 12376319,
+                31632953, 190926,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                109624102, 17415545, 58684872, 13378745, 81271271, 6901327, 58820115, 38062995,
+                41767308, 29926903,
+            ]),
+            y_minus_x: FieldElement2625([
+                8884438, 27670423, 6023973, 10104341, 60227295, 28612898, 18722940, 18768427,
+                65436375, 827624,
+            ]),
+            xy2d: FieldElement2625([
+                34388281, 17265135, 34605316, 7101209, 13354605, 2659080, 65308289, 19446395,
+                42230385, 1541285,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                70010192, 32436744, 70989239, 57049475, 116596786, 29941649, 45306746, 29986950,
+                87565708, 31669398,
+            ]),
+            y_minus_x: FieldElement2625([
+                27019610, 12299467, 53450576, 31951197, 54247203, 28692960, 47568713, 28538373,
+                29439640, 15138866,
+            ]),
+            xy2d: FieldElement2625([
+                21536104, 26928012, 34661045, 22864223, 44700786, 5175813, 61688824, 17193268,
+                7779327, 109896,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                97388589, 48203181, 59063992, 39979989, 80748484, 32810922, 28698389, 45734550,
+                23177718, 33000357,
+            ]),
+            y_minus_x: FieldElement2625([
+                26572828, 3405927, 35407164, 12890904, 47843196, 5335865, 60615096, 2378491,
+                4439158, 20275085,
+            ]),
+            xy2d: FieldElement2625([
+                44392139, 3489069, 57883598, 33221678, 18875721, 32414337, 14819433, 20822905,
+                49391106, 28092994,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                62052362, 50120982, 83062524, 37322183, 56672364, 49181491, 66287909, 35731656,
+                75658945, 18440266,
+            ]),
+            y_minus_x: FieldElement2625([
+                48635543, 16596774, 66727204, 15663610, 22860960, 15585581, 39264755, 29971692,
+                43848403, 25125843,
+            ]),
+            xy2d: FieldElement2625([
+                34628313, 15707274, 58902952, 27902350, 29464557, 2713815, 44383727, 15860481,
+                45206294, 1494192,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                47546754, 53021470, 41524990, 24254879, 80236705, 34314140, 21923481, 16529112,
+                75851568, 46521448,
+            ]),
+            y_minus_x: FieldElement2625([
+                38643965, 1553204, 32536856, 23080703, 42417258, 33148257, 58194238, 30620535,
+                37205105, 15553882,
+            ]),
+            xy2d: FieldElement2625([
+                21877890, 3230008, 9881174, 10539357, 62311749, 2841331, 11543572, 14513274,
+                19375923, 20906471,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                75941133, 52613378, 80362373, 38692006, 72146734, 37633208, 24880817, 60886148,
+                69971515, 9455042,
+            ]),
+            y_minus_x: FieldElement2625([
+                29306751, 5123106, 20245049, 19404543, 9592565, 8447059, 65031740, 30564351,
+                15511448, 4789663,
+            ]),
+            xy2d: FieldElement2625([
+                46429108, 7004546, 8824831, 24119455, 63063159, 29803695, 61354101, 108892,
+                23513200, 16652362,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                100961536, 37699212, 62632834, 26975308, 77878902, 26398889, 60458447, 54172563,
+                115898528, 43767290,
+            ]),
+            y_minus_x: FieldElement2625([
+                2756062, 8598110, 7383731, 26694540, 22312758, 32449420, 21179800, 2600940,
+                57120566, 21047965,
+            ]),
+            xy2d: FieldElement2625([
+                42463153, 13317461, 36659605, 17900503, 21365573, 22684775, 11344423, 864440,
+                64609187, 16844368,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                107784906, 6148327, 49924452, 19080277, 85891792, 33278434, 44547329, 33765731,
+                69828620, 38495428,
+            ]),
+            y_minus_x: FieldElement2625([
+                65784982, 3911312, 60160120, 14759764, 37081714, 7851206, 21690126, 8518463,
+                26699843, 5276295,
+            ]),
+            xy2d: FieldElement2625([
+                53958991, 27125364, 9396248, 365013, 24703301, 23065493, 1321585, 149635, 51656090,
+                7159368,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                77096625, 30149672, 84616825, 43059961, 76840398, 31388917, 89464872, 41866607,
+                89586081, 25151046,
+            ]),
+            y_minus_x: FieldElement2625([
+                18155857, 17049442, 19744715, 9006923, 15154154, 23015456, 24256459, 28689437,
+                44560690, 9334108,
+            ]),
+            xy2d: FieldElement2625([
+                2986088, 28642539, 10776627, 30080588, 10620589, 26471229, 45695018, 14253544,
+                44521715, 536905,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                71486582, 41670267, 91675941, 15495313, 78733938, 46619030, 74499414, 44144056,
+                77946923, 51688439,
+            ]),
+            y_minus_x: FieldElement2625([
+                47766460, 867879, 9277171, 30335973, 52677291, 31567988, 19295825, 17757482,
+                6378259, 699185,
+            ]),
+            xy2d: FieldElement2625([
+                7895007, 4057113, 60027092, 20476675, 49222032, 33231305, 66392824, 15693154,
+                62063800, 20180469,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                59371282, 27685029, 119651408, 26147511, 78494517, 46756047, 31730677, 22591592,
+                63190227, 23885106,
+            ]),
+            y_minus_x: FieldElement2625([
+                10188286, 17783598, 59772502, 13427542, 22223443, 14896287, 30743455, 7116568,
+                45322357, 5427592,
+            ]),
+            xy2d: FieldElement2625([
+                696102, 13206899, 27047647, 22922350, 15285304, 23701253, 10798489, 28975712,
+                19236242, 12477404,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                55879406, 44798227, 50054593, 25513566, 66320635, 58940896, 63211193, 44734935,
+                43939347, 41288075,
+            ]),
+            y_minus_x: FieldElement2625([
+                17800790, 19518253, 40108434, 21787760, 23887826, 3149671, 23466177, 23016261,
+                10322026, 15313801,
+            ]),
+            xy2d: FieldElement2625([
+                26246234, 11968874, 32263343, 28085704, 6830754, 20231401, 51314159, 33452449,
+                42659621, 10890803,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                35743198, 43825794, 54448238, 27287163, 83799070, 54046319, 119235514, 50039361,
+                92289660, 28219547,
+            ]),
+            y_minus_x: FieldElement2625([
+                66522290, 10376443, 34522450, 22268075, 19801892, 10997610, 2276632, 9482883,
+                316878, 13820577,
+            ]),
+            xy2d: FieldElement2625([
+                57226037, 29044064, 64993357, 16457135, 56008783, 11674995, 30756178, 26039378,
+                30696929, 29841583,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                100097781, 23951019, 12499365, 41465219, 56491606, 21622917, 59766047, 57123466,
+                34759345, 7392472,
+            ]),
+            y_minus_x: FieldElement2625([
+                58253184, 15927860, 9866406, 29905021, 64711949, 16898650, 36699387, 24419436,
+                25112946, 30627788,
+            ]),
+            xy2d: FieldElement2625([
+                64604801, 33117465, 25621773, 27875660, 15085041, 28074555, 42223985, 20028237,
+                5537437, 19640113,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                55883261, 2320284, 57524584, 10149186, 100773065, 5808646, 119341477, 31824763,
+                98343453, 39645030,
+            ]),
+            y_minus_x: FieldElement2625([
+                57475529, 116425, 26083934, 2897444, 60744427, 30866345, 609720, 15878753,
+                60138459, 24519663,
+            ]),
+            xy2d: FieldElement2625([
+                39351007, 247743, 51914090, 24551880, 23288160, 23542496, 43239268, 6503645,
+                20650474, 1804084,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                106627923, 49010854, 76081380, 42024039, 82749485, 37994278, 70230858, 56779150,
+                94951478, 33352103,
+            ]),
+            y_minus_x: FieldElement2625([
+                51801891, 2839643, 22530074, 10026331, 4602058, 5048462, 28248656, 5031932,
+                55733782, 12714368,
+            ]),
+            xy2d: FieldElement2625([
+                20807691, 26283607, 29286140, 11421711, 39232341, 19686201, 45881388, 1035545,
+                47375635, 12796919,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                79185725, 52807577, 58323861, 21705509, 42096072, 49955115, 49517368, 20654993,
+                70589528, 51926048,
+            ]),
+            y_minus_x: FieldElement2625([
+                34747315, 5457596, 28548107, 7833186, 7303070, 21600887, 42745799, 17632556,
+                33734809, 2771024,
+            ]),
+            xy2d: FieldElement2625([
+                45719598, 421931, 26597266, 6860826, 22486084, 26817260, 49971378, 29344205,
+                42556581, 15673396,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                46924223, 35892647, 19788684, 57487908, 63107597, 24813538, 46837679, 38287685,
+                70836007, 20619983,
+            ]),
+            y_minus_x: FieldElement2625([
+                6120100, 814863, 55314462, 32931715, 6812204, 17806661, 2019593, 7975683, 31123697,
+                22595451,
+            ]),
+            xy2d: FieldElement2625([
+                30069250, 22119100, 30434653, 2958439, 18399564, 32578143, 12296868, 9204260,
+                50676426, 9648164,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                32705413, 32003455, 97814521, 41005496, 55303257, 43186244, 70414129, 38803035,
+                108209395, 22176929,
+            ]),
+            y_minus_x: FieldElement2625([
+                17219846, 2375039, 35537917, 27978816, 47649184, 9219902, 294711, 15298639,
+                2662509, 17257359,
+            ]),
+            xy2d: FieldElement2625([
+                65935918, 25995736, 62742093, 29266687, 45762450, 25120105, 32087528, 32331655,
+                32247247, 19164571,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                14312609, 34775988, 17395389, 58408721, 62163121, 58424228, 106019982, 23916613,
+                51081240, 20175586,
+            ]),
+            y_minus_x: FieldElement2625([
+                65680039, 23875441, 57873182, 6549686, 59725795, 33085767, 23046501, 9803137,
+                17597934, 2346211,
+            ]),
+            xy2d: FieldElement2625([
+                18510781, 15337574, 26171504, 981392, 44867312, 7827555, 43617730, 22231079,
+                3059832, 21771562,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                77250443, 39637338, 84938156, 31606788, 76938955, 13613135, 41552228, 28009845,
+                33606651, 37146527,
+            ]),
+            y_minus_x: FieldElement2625([
+                33114149, 17665080, 40583177, 20211034, 33076704, 8716171, 1151462, 1521897,
+                66126199, 26716628,
+            ]),
+            xy2d: FieldElement2625([
+                34169699, 29298616, 23947180, 33230254, 34035889, 21248794, 50471177, 3891703,
+                26353178, 693168,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                97483084, 35150011, 117333688, 46741361, 71709207, 33961335, 76694157, 33153763,
+                31375463, 47924397,
+            ]),
+            y_minus_x: FieldElement2625([
+                52738210, 25781902, 1510300, 6434173, 48324075, 27291703, 32732229, 20445593,
+                17901440, 16011505,
+            ]),
+            xy2d: FieldElement2625([
+                18171223, 21619806, 54608461, 15197121, 56070717, 18324396, 47936623, 17508055,
+                8764034, 12309598,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                73084753, 28311243, 47649501, 23872684, 55567586, 14015781, 110551971, 34782749,
+                17544095, 22960650,
+            ]),
+            y_minus_x: FieldElement2625([
+                5811932, 31839139, 3442886, 31285122, 48741515, 25194890, 49064820, 18144304,
+                61543482, 12348899,
+            ]),
+            xy2d: FieldElement2625([
+                35709185, 11407554, 25755363, 6891399, 63851926, 14872273, 42259511, 8141294,
+                56476330, 32968952,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                121542424, 34248456, 62032718, 46854775, 81124121, 19103037, 124519055, 22225380,
+                30944592, 1130208,
+            ]),
+            y_minus_x: FieldElement2625([
+                8247747, 26843490, 40546482, 25845122, 52706924, 18905521, 4652151, 2488540,
+                23550156, 33283200,
+            ]),
+            xy2d: FieldElement2625([
+                17294297, 29765994, 7026747, 15626851, 22990044, 113481, 2267737, 27646286,
+                66700045, 33416712,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                83199930, 17300505, 85708115, 40895109, 69246500, 32332774, 63744702, 48105367,
+                70369388, 26388160,
+            ]),
+            y_minus_x: FieldElement2625([
+                62198760, 20221544, 18550886, 10864893, 50649539, 26262835, 44079994, 20349526,
+                54360141, 2701325,
+            ]),
+            xy2d: FieldElement2625([
+                58534169, 16099414, 4629974, 17213908, 46322650, 27548999, 57090500, 9276970,
+                11329923, 1862132,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                14763057, 17650824, 103299457, 3689865, 70620756, 43867957, 45157775, 45773662,
+                58070900, 32614131,
+            ]),
+            y_minus_x: FieldElement2625([
+                8894987, 30108338, 6150752, 3013931, 301220, 15693451, 35127648, 30644714,
+                51670695, 11595569,
+            ]),
+            xy2d: FieldElement2625([
+                15214943, 3537601, 40870142, 19495559, 4418656, 18323671, 13947275, 10730794,
+                53619402, 29190761,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                64570539, 41237224, 99867876, 33817540, 104232996, 25598978, 111885603, 23365795,
+                68085971, 34254425,
+            ]),
+            y_minus_x: FieldElement2625([
+                54642373, 4195083, 57897332, 550903, 51543527, 12917919, 19118110, 33114591,
+                36574330, 19216518,
+            ]),
+            xy2d: FieldElement2625([
+                31788442, 19046775, 4799988, 7372237, 8808585, 18806489, 9408236, 23502657,
+                12493931, 28145115,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                41428258, 5260743, 47873055, 27269961, 63412921, 16566086, 94327144, 36161552,
+                29375954, 6024730,
+            ]),
+            y_minus_x: FieldElement2625([
+                842132, 30759739, 62345482, 24831616, 26332017, 21148791, 11831879, 6985184,
+                57168503, 2854095,
+            ]),
+            xy2d: FieldElement2625([
+                62261602, 25585100, 2516241, 27706719, 9695690, 26333246, 16512644, 960770,
+                12121869, 16648078,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                51890193, 48221527, 53772634, 35568148, 97707150, 33090294, 35603941, 25672367,
+                20237805, 36392843,
+            ]),
+            y_minus_x: FieldElement2625([
+                47820798, 4453151, 15298546, 17376044, 22115042, 17581828, 12544293, 20083975,
+                1068880, 21054527,
+            ]),
+            xy2d: FieldElement2625([
+                57549981, 17035596, 33238497, 13506958, 30505848, 32439836, 58621956, 30924378,
+                12521377, 4845654,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                106019188, 44298538, 64150483, 43754095, 74868174, 54020263, 70518210, 32681031,
+                127735421, 20668560,
+            ]),
+            y_minus_x: FieldElement2625([
+                43547042, 6230155, 46726851, 10655313, 43068279, 21933259, 10477733, 32314216,
+                63995636, 13974497,
+            ]),
+            xy2d: FieldElement2625([
+                12966261, 15550616, 35069916, 31939085, 21025979, 32924988, 5642324, 7188737,
+                18895762, 12629579,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                14741860, 18607545, 89286071, 21833194, 68388604, 41613031, 11758139, 34343875,
+                32195180, 37450109,
+            ]),
+            y_minus_x: FieldElement2625([
+                10758205, 15755439, 62598914, 9243697, 62229442, 6879878, 64904289, 29988312,
+                58126794, 4429646,
+            ]),
+            xy2d: FieldElement2625([
+                64654951, 15725972, 46672522, 23143759, 61304955, 22514211, 59972993, 21911536,
+                18047435, 18272689,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                41935825, 55801698, 29759954, 45331216, 111955344, 51288407, 78101976, 54258026,
+                49488161, 57700395,
+            ]),
+            y_minus_x: FieldElement2625([
+                21987233, 700364, 42603816, 14972007, 59334599, 27836036, 32155025, 2581431,
+                37149879, 8773374,
+            ]),
+            xy2d: FieldElement2625([
+                41540495, 454462, 53896929, 16126714, 25240068, 8594567, 20656846, 12017935,
+                59234475, 19634276,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                73137027, 39817509, 103205921, 55807152, 66289943, 36016203, 102376553, 61640820,
+                65387074, 30777706,
+            ]),
+            y_minus_x: FieldElement2625([
+                54829870, 16624276, 987579, 27631834, 32908202, 1248608, 7719845, 29387734,
+                28408819, 6816612,
+            ]),
+            xy2d: FieldElement2625([
+                56750770, 25316602, 19549650, 21385210, 22082622, 16147817, 20613181, 13982702,
+                56769294, 5067942,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                36602859, 29732664, 79183544, 13582411, 47230892, 35998382, 47389577, 12746131,
+                72440074, 57002919,
+            ]),
+            y_minus_x: FieldElement2625([
+                30528792, 3601899, 65151774, 4619784, 39747042, 18118043, 24180792, 20984038,
+                27679907, 31905504,
+            ]),
+            xy2d: FieldElement2625([
+                9402385, 19597367, 32834042, 10838634, 40528714, 20317236, 26653273, 24868867,
+                22611443, 20839026,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                89299435, 34672460, 22736440, 48684895, 103757035, 27563109, 86298488, 62459921,
+                71963721, 40176570,
+            ]),
+            y_minus_x: FieldElement2625([
+                58798126, 30600981, 58846284, 30166382, 56707132, 33282502, 13424425, 29987205,
+                26404408, 13001963,
+            ]),
+            xy2d: FieldElement2625([
+                35867026, 18138731, 64114613, 8939345, 11562230, 20713762, 41044498, 21932711,
+                51703708, 11020692,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                68974887, 59159374, 59210213, 23253421, 12483314, 47031979, 70284499, 21130268,
+                28761761, 34961166,
+            ]),
+            y_minus_x: FieldElement2625([
+                66660290, 31776765, 13018550, 3194501, 57528444, 22392694, 24760584, 29207344,
+                25577410, 20175752,
+            ]),
+            xy2d: FieldElement2625([
+                42818486, 4759344, 66418211, 31701615, 2066746, 10693769, 37513074, 9884935,
+                57739938, 4745409,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                57967561, 39604145, 47577802, 29213020, 102956929, 43498706, 51646855, 55797011,
+                78040786, 21622500,
+            ]),
+            y_minus_x: FieldElement2625([
+                50547351, 14112679, 59096219, 4817317, 59068400, 22139825, 44255434, 10856640,
+                46638094, 13434653,
+            ]),
+            xy2d: FieldElement2625([
+                22759470, 23480998, 50342599, 31683009, 13637441, 23386341, 1765143, 20900106,
+                28445306, 28189722,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                29875044, 46048045, 69904399, 63322533, 68819482, 48735613, 56913146, 24765756,
+                9074233, 34721612,
+            ]),
+            y_minus_x: FieldElement2625([
+                40903181, 11014232, 57266213, 30918946, 40200743, 7532293, 48391976, 24018933,
+                3843902, 9367684,
+            ]),
+            xy2d: FieldElement2625([
+                56139269, 27150720, 9591133, 9582310, 11349256, 108879, 16235123, 8601684,
+                66969667, 4242894,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                89201818, 53917740, 65066069, 21585919, 99295616, 55591475, 60534521, 36025091,
+                106800361, 16625499,
+            ]),
+            y_minus_x: FieldElement2625([
+                56051142, 3042015, 13770083, 24296510, 584235, 33009577, 59338006, 2602724,
+                39757248, 14247412,
+            ]),
+            xy2d: FieldElement2625([
+                6314156, 23289540, 34336361, 15957556, 56951134, 168749, 58490057, 14290060,
+                27108877, 32373552,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                58522248, 26383465, 80350645, 44514587, 34117848, 19759835, 100656839, 22495542,
+                107069276, 34536304,
+            ]),
+            y_minus_x: FieldElement2625([
+                22833421, 9293594, 34459416, 19935764, 57971897, 14756818, 44180005, 19583651,
+                56629059, 17356469,
+            ]),
+            xy2d: FieldElement2625([
+                59340277, 3326785, 38997067, 10783823, 19178761, 14905060, 22680049, 13906969,
+                51175174, 3797898,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                88830182, 29341685, 54902740, 42864613, 63226624, 19901321, 90849087, 30845199,
+                87600846, 59066711,
+            ]),
+            y_minus_x: FieldElement2625([
+                9209251, 18419377, 53852306, 27386633, 66377847, 15289672, 25947805, 15286587,
+                30997318, 26851369,
+            ]),
+            xy2d: FieldElement2625([
+                7392013, 16618386, 23946583, 25514540, 53843699, 32020573, 52911418, 31232855,
+                17649997, 33304352,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                57807757, 52915036, 97718388, 30504888, 41933794, 32270679, 51867297, 24028707,
+                64875610, 41216577,
+            ]),
+            y_minus_x: FieldElement2625([
+                49550191, 1763593, 33994528, 15908609, 37067994, 21380136, 7335079, 25082233,
+                63934189, 3440182,
+            ]),
+            xy2d: FieldElement2625([
+                47219164, 27577423, 42997570, 23865561, 10799742, 16982475, 40449, 29122597,
+                4862399, 1133,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                34252636, 25680474, 61686474, 48415381, 50789832, 41510573, 74366924, 33866292,
+                36513872, 26175010,
+            ]),
+            y_minus_x: FieldElement2625([
+                63335436, 31988495, 28985339, 7499440, 24445838, 9325937, 29727763, 16527196,
+                18278453, 15405622,
+            ]),
+            xy2d: FieldElement2625([
+                62726958, 8508651, 47210498, 29880007, 61124410, 15149969, 53795266, 843522,
+                45233802, 13626196,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                69390312, 20067376, 56193445, 30944521, 68988221, 49718638, 56324981, 37508223,
+                80449702, 15928662,
+            ]),
+            y_minus_x: FieldElement2625([
+                31727126, 26374577, 48671360, 25270779, 2875792, 17164102, 41838969, 26539605,
+                43656557, 5964752,
+            ]),
+            xy2d: FieldElement2625([
+                4100401, 27594980, 49929526, 6017713, 48403027, 12227140, 40424029, 11344143,
+                2538215, 25983677,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                57675240, 6123112, 78268667, 31397823, 97125143, 48520672, 46633880, 35039852,
+                66479607, 17595569,
+            ]),
+            y_minus_x: FieldElement2625([
+                40304287, 4260918, 11851389, 9658551, 35091757, 16367491, 46903439, 20363143,
+                11659921, 22439314,
+            ]),
+            xy2d: FieldElement2625([
+                26180377, 10015009, 36264640, 24973138, 5418196, 9480663, 2231568, 23384352,
+                33100371, 32248261,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                82229958, 28352560, 56718958, 48982252, 39598926, 17561924, 88779810, 38041106,
+                61177053, 19088051,
+            ]),
+            y_minus_x: FieldElement2625([
+                16166467, 24070699, 56004733, 6023907, 35182066, 32189508, 2340059, 17299464,
+                56373093, 23514607,
+            ]),
+            xy2d: FieldElement2625([
+                28042865, 29997343, 54982337, 12259705, 63391366, 26608532, 6766452, 24864833,
+                18036435, 5803270,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                66291264, 40318343, 78912424, 35140016, 78067310, 30883266, 23855390, 4598332,
+                60949433, 19436993,
+            ]),
+            y_minus_x: FieldElement2625([
+                36077558, 19298237, 17332028, 31170912, 31312681, 27587249, 696308, 50292,
+                47013125, 11763583,
+            ]),
+            xy2d: FieldElement2625([
+                66514282, 31040148, 34874710, 12643979, 12650761, 14811489, 665117, 20940800,
+                47335652, 22840869,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                97573435, 55845991, 62981386, 20819953, 86944190, 60003250, 109821551, 35630203,
+                50088706, 34546902,
+            ]),
+            y_minus_x: FieldElement2625([
+                18357166, 26559999, 7766381, 16342475, 37783946, 411173, 14578841, 8080033,
+                55534529, 22952821,
+            ]),
+            xy2d: FieldElement2625([
+                19598397, 10334610, 12555054, 2555664, 18821899, 23214652, 21873262, 16014234,
+                26224780, 16452269,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                36884920, 5145195, 73053412, 49940397, 71085598, 35564328, 122839923, 25936244,
+                46575034, 37253081,
+            ]),
+            y_minus_x: FieldElement2625([
+                14187449, 3448569, 56472628, 22743496, 44444983, 30120835, 7268409, 22663988,
+                27394300, 12015369,
+            ]),
+            xy2d: FieldElement2625([
+                19695742, 16087646, 28032085, 12999827, 6817792, 11427614, 20244189, 32241655,
+                53849736, 30151970,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                97968948, 12735207, 65220619, 28854697, 50133957, 35811371, 126051714, 45852742,
+                58558339, 23160969,
+            ]),
+            y_minus_x: FieldElement2625([
+                61389038, 22309106, 65198214, 15569034, 26642876, 25966672, 61319509, 18435777,
+                62132699, 12651792,
+            ]),
+            xy2d: FieldElement2625([
+                64260450, 9953420, 11531313, 28271553, 26895122, 20857343, 53990043, 17036529,
+                9768697, 31021214,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                109498250, 35449081, 66821165, 28850346, 82457582, 25397901, 32767512, 46319882,
+                72048958, 44232657,
+            ]),
+            y_minus_x: FieldElement2625([
+                18860224, 15980149, 48121624, 31991861, 40875851, 22482575, 59264981, 13944023,
+                42736516, 16582018,
+            ]),
+            xy2d: FieldElement2625([
+                51604604, 4970267, 37215820, 4175592, 46115652, 31354675, 55404809, 15444559,
+                56105103, 7989036,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                98599278, 39122492, 64696060, 35736814, 34772016, 38086117, 35030594, 39754637,
+                47422750, 52308692,
+            ]),
+            y_minus_x: FieldElement2625([
+                49800177, 17674491, 35586086, 33551600, 34221481, 16375548, 8680158, 17182719,
+                28550067, 26697300,
+            ]),
+            xy2d: FieldElement2625([
+                38981977, 27866340, 16837844, 31733974, 60258182, 12700015, 37068883, 4364037,
+                1155602, 5988841,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                88999280, 20281524, 121593716, 12154347, 59276991, 48854927, 90257846, 29083950,
+                91727270, 41837612,
+            ]),
+            y_minus_x: FieldElement2625([
+                33972757, 23041680, 9975415, 6841041, 35549071, 16356535, 3070187, 26528504,
+                1466168, 10740210,
+            ]),
+            xy2d: FieldElement2625([
+                65599446, 18066246, 53605478, 22898515, 32799043, 909394, 53169961, 27774712,
+                34944214, 18227391,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                71069668, 19286628, 39082773, 51190812, 47704004, 46701299, 82676190, 34505938,
+                63848542, 32980496,
+            ]),
+            y_minus_x: FieldElement2625([
+                24740822, 5052253, 37014733, 8961360, 25877428, 6165135, 42740684, 14397371,
+                59728495, 27410326,
+            ]),
+            xy2d: FieldElement2625([
+                38220480, 3510802, 39005586, 32395953, 55870735, 22922977, 51667400, 19101303,
+                65483377, 27059617,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                67902144, 24323953, 75945165, 27318724, 39747955, 31184838, 100261706, 62223612,
+                57202662, 32932579,
+            ]),
+            y_minus_x: FieldElement2625([
+                5666214, 525582, 20782575, 25516013, 42570364, 14657739, 16099374, 1468826,
+                60937436, 18367850,
+            ]),
+            xy2d: FieldElement2625([
+                62249590, 29775088, 64191105, 26806412, 7778749, 11688288, 36704511, 23683193,
+                65549940, 23690785,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                10896313, 25834728, 67933138, 34027032, 114757419, 36564017, 25248957, 48337770,
+                36527387, 17796587,
+            ]),
+            y_minus_x: FieldElement2625([
+                10566929, 12612572, 35164652, 11118702, 54475488, 12362878, 21752402, 8822496,
+                24003793, 14264025,
+            ]),
+            xy2d: FieldElement2625([
+                27713843, 26198459, 56100623, 9227529, 27050101, 2504721, 23886875, 20436907,
+                13958494, 27821979,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                110736080, 38421656, 39861735, 37454952, 29838368, 25342141, 102328328, 23512649,
+                74449384, 51698795,
+            ]),
+            y_minus_x: FieldElement2625([
+                4646495, 25543308, 44342840, 22021777, 23184552, 8566613, 31366726, 32173371,
+                52042079, 23179239,
+            ]),
+            xy2d: FieldElement2625([
+                49838347, 12723031, 50115803, 14878793, 21619651, 27356856, 27584816, 3093888,
+                58265170, 3849920,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                58043933, 35657603, 92670503, 51983125, 61869038, 43137389, 99585908, 24536476,
+                72111157, 18004172,
+            ]),
+            y_minus_x: FieldElement2625([
+                55051311, 22376525, 21115584, 20189277, 8808711, 21523724, 16489529, 13378448,
+                41263148, 12741425,
+            ]),
+            xy2d: FieldElement2625([
+                61162478, 10645102, 36197278, 15390283, 63821882, 26435754, 24306471, 15852464,
+                28834118, 25908360,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                49773097, 24447374, 109686448, 42989383, 58636779, 32971069, 54018092, 34010272,
+                87570721, 39045736,
+            ]),
+            y_minus_x: FieldElement2625([
+                13669229, 17458950, 54626889, 23351392, 52539093, 21661233, 42112877, 11293806,
+                38520660, 24132599,
+            ]),
+            xy2d: FieldElement2625([
+                28497909, 6272777, 34085870, 14470569, 8906179, 32328802, 18504673, 19389266,
+                29867744, 24758489,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                50901822, 47071627, 39309233, 19856633, 24009063, 60734973, 60741262, 53933471,
+                22853427, 29542421,
+            ]),
+            y_minus_x: FieldElement2625([
+                24191359, 16712145, 53177067, 15217830, 14542237, 1646131, 18603514, 22516545,
+                12876622, 31441985,
+            ]),
+            xy2d: FieldElement2625([
+                17902668, 4518229, 66697162, 30725184, 26878216, 5258055, 54248111, 608396,
+                16031844, 3723494,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                105584936, 12763726, 46662418, 41131935, 33001347, 54091119, 17558840, 59235974,
+                23896952, 29240187,
+            ]),
+            y_minus_x: FieldElement2625([
+                47103464, 21542479, 31520463, 605201, 2543521, 5991821, 64163800, 7229063,
+                57189218, 24727572,
+            ]),
+            xy2d: FieldElement2625([
+                28816026, 298879, 38943848, 17633493, 19000927, 31888542, 54428030, 30605106,
+                49057085, 31471516,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                16000882, 33209536, 70601955, 55661665, 37604267, 20394642, 79686603, 49595699,
+                47393623, 7847706,
+            ]),
+            y_minus_x: FieldElement2625([
+                10151868, 10572098, 27312476, 7922682, 14825339, 4723128, 34252933, 27035413,
+                57088296, 3852847,
+            ]),
+            xy2d: FieldElement2625([
+                55678375, 15697595, 45987307, 29133784, 5386313, 15063598, 16514493, 17622322,
+                29330898, 18478208,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                41609110, 29175637, 51885955, 26653220, 83724594, 35606215, 70412565, 33569921,
+                106668931, 45868821,
+            ]),
+            y_minus_x: FieldElement2625([
+                15683501, 27551389, 18109119, 23573784, 15337967, 27556609, 50391428, 15921865,
+                16103996, 29823217,
+            ]),
+            xy2d: FieldElement2625([
+                43939021, 22773182, 13588191, 31925625, 63310306, 32479502, 47835256, 5402698,
+                37293151, 23713330,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                90299521, 35939014, 34394523, 37016585, 104314072, 32025298, 55842007, 8911516,
+                109011869, 36294143,
+            ]),
+            y_minus_x: FieldElement2625([
+                21374101, 30000182, 33584214, 9874410, 15377179, 11831242, 33578960, 6134906,
+                4931255, 11987849,
+            ]),
+            xy2d: FieldElement2625([
+                67101132, 30575573, 50885377, 7277596, 105524, 33232381, 35628324, 13861387,
+                37032554, 10117929,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                37607694, 22809559, 40945095, 13051538, 41483300, 38644074, 127892224, 40258509,
+                79998882, 15728939,
+            ]),
+            y_minus_x: FieldElement2625([
+                45136504, 21783052, 66157804, 29135591, 14704839, 2695116, 903376, 23126293,
+                12885166, 8311031,
+            ]),
+            xy2d: FieldElement2625([
+                49592363, 5352193, 10384213, 19742774, 7506450, 13453191, 26423267, 4384730,
+                1888765, 28119028,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                108400371, 64001550, 120723127, 30371924, 98005322, 19632702, 101966083, 20846561,
+                47644429, 30214188,
+            ]),
+            y_minus_x: FieldElement2625([
+                43500868, 30888657, 66582772, 4651135, 5765089, 4618330, 6092245, 14845197,
+                17151279, 23700316,
+            ]),
+            xy2d: FieldElement2625([
+                42278406, 20820711, 51942885, 10367249, 37577956, 33289075, 22825804, 26467153,
+                50242379, 16176524,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                43525570, 40119392, 87172552, 37352659, 129477549, 40913655, 69115045, 23191005,
+                38362610, 56911354,
+            ]),
+            y_minus_x: FieldElement2625([
+                56482264, 29068029, 53788301, 28429114, 3432135, 27161203, 23632036, 31613822,
+                32808309, 1099883,
+            ]),
+            xy2d: FieldElement2625([
+                15030958, 5768825, 39657628, 30667132, 60681485, 18193060, 51830967, 26745081,
+                2051440, 18328567,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                63746522, 26315059, 74626753, 43379423, 90664713, 33849800, 72257261, 52954675,
+                44422508, 50188091,
+            ]),
+            y_minus_x: FieldElement2625([
+                4577067, 16802144, 13249840, 18250104, 19958762, 19017158, 18559669, 22794883,
+                8402477, 23690159,
+            ]),
+            xy2d: FieldElement2625([
+                38702534, 32502850, 40318708, 32646733, 49896449, 22523642, 9453450, 18574360,
+                17983009, 9967138,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                41346351, 40079153, 93694351, 43523701, 24709297, 34774792, 65430873, 7806336,
+                84616260, 37205991,
+            ]),
+            y_minus_x: FieldElement2625([
+                56688388, 29436320, 14584638, 15971087, 51340543, 8861009, 26556809, 27979875,
+                48555541, 22197296,
+            ]),
+            xy2d: FieldElement2625([
+                2839082, 14284142, 4029895, 3472686, 14402957, 12689363, 40466743, 8459446,
+                61503401, 25932490,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                62269556, 30018987, 76853824, 2871047, 92222842, 36741449, 109106914, 32705364,
+                84366947, 25576692,
+            ]),
+            y_minus_x: FieldElement2625([
+                18164541, 22959256, 49953981, 32012014, 19237077, 23809137, 23357532, 18337424,
+                26908269, 12150756,
+            ]),
+            xy2d: FieldElement2625([
+                36843994, 25906566, 5112248, 26517760, 65609056, 26580174, 43167, 28016731,
+                34806789, 16215818,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                60209940, 43378825, 54804084, 29153342, 102820586, 27277595, 99683352, 46087336,
+                59605791, 24879084,
+            ]),
+            y_minus_x: FieldElement2625([
+                39765323, 17038963, 39957339, 22831480, 946345, 16291093, 254968, 7168080,
+                21676107, 31611404,
+            ]),
+            xy2d: FieldElement2625([
+                21260942, 25129680, 50276977, 21633609, 43430902, 3968120, 63456915, 27338965,
+                63552672, 25641356,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                16544735, 46804798, 50304435, 49100673, 62525860, 46311689, 64646555, 24874095,
+                48201831, 23891632,
+            ]),
+            y_minus_x: FieldElement2625([
+                64693606, 17976703, 18312302, 4964443, 51836334, 20900867, 26820650, 16690659,
+                25459437, 28989823,
+            ]),
+            xy2d: FieldElement2625([
+                41964155, 11425019, 28423002, 22533875, 60963942, 17728207, 9142794, 31162830,
+                60676445, 31909614,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                44004193, 39807907, 16964146, 29785560, 109103755, 54812425, 39651637, 50764205,
+                73444554, 40804420,
+            ]),
+            y_minus_x: FieldElement2625([
+                36775618, 13979674, 7503222, 21186118, 55152142, 28932738, 36836594, 2682241,
+                25993170, 21075909,
+            ]),
+            xy2d: FieldElement2625([
+                4364628, 5930691, 32304656, 23509878, 59054082, 15091130, 22857016, 22955477,
+                31820367, 15075278,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                98987979, 24635738, 84367624, 33645057, 126175891, 28636721, 91271651, 23903545,
+                116247489, 46387475,
+            ]),
+            y_minus_x: FieldElement2625([
+                19073683, 14851414, 42705695, 21694263, 7625277, 11091125, 47489674, 2074448,
+                57694925, 14905376,
+            ]),
+            xy2d: FieldElement2625([
+                24483648, 21618865, 64589997, 22007013, 65555733, 15355505, 41826784, 9253128,
+                27628530, 25998952,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                84706452, 41895034, 86464480, 34106618, 26198469, 30377849, 71702187, 24396849,
+                120106852, 48851446,
+            ]),
+            y_minus_x: FieldElement2625([
+                510886, 14337390, 35323607, 16638631, 6328095, 2713355, 46891447, 21690211,
+                8683220, 2921426,
+            ]),
+            xy2d: FieldElement2625([
+                18606791, 11874196, 27155355, 28272950, 43077121, 6265445, 41930624, 32275507,
+                4674689, 13890525,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                13609605, 13069022, 106845367, 20498522, 91469449, 43147405, 82086020, 43389536,
+                71498550, 33842827,
+            ]),
+            y_minus_x: FieldElement2625([
+                9922506, 33035038, 13613106, 5883594, 48350519, 33120168, 54804801, 8317627,
+                23388070, 16052080,
+            ]),
+            xy2d: FieldElement2625([
+                12719997, 11937594, 35138804, 28525742, 26900119, 8561328, 46953177, 21921452,
+                52354592, 22741539,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                83070703, 47704840, 93825794, 32888599, 111423399, 47157999, 78938436, 41022275,
+                38286735, 34483706,
+            ]),
+            y_minus_x: FieldElement2625([
+                11038231, 21972036, 39798381, 26237869, 56610336, 17246600, 43629330, 24182562,
+                45715720, 2465073,
+            ]),
+            xy2d: FieldElement2625([
+                20017144, 29231206, 27915241, 1529148, 12396362, 15675764, 13817261, 23896366,
+                2463390, 28932292,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                50749967, 20890520, 122152544, 38550884, 65852441, 34628003, 76692421, 12851106,
+                71112760, 46228148,
+            ]),
+            y_minus_x: FieldElement2625([
+                65377275, 18398561, 63845933, 16143081, 19294135, 13385325, 14741514, 24450706,
+                7903885, 2348101,
+            ]),
+            xy2d: FieldElement2625([
+                24536016, 17039225, 12715591, 29692277, 1511292, 10047386, 63266518, 26425272,
+                38731325, 10048126,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                54486638, 27349611, 97827688, 2591311, 56491836, 12192839, 85982162, 59811773,
+                34811106, 15221631,
+            ]),
+            y_minus_x: FieldElement2625([
+                40630742, 22450567, 11546243, 31701949, 9180879, 7656409, 45764914, 2095754,
+                29769758, 6593415,
+            ]),
+            xy2d: FieldElement2625([
+                35114656, 30646970, 4176911, 3264766, 12538965, 32686321, 26312344, 27435754,
+                30958053, 8292160,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                98538667, 53149747, 96282394, 15632447, 12174511, 64348770, 99917693, 37531617,
+                93251999, 30405555,
+            ]),
+            y_minus_x: FieldElement2625([
+                22648882, 1402143, 44308880, 13746058, 7936347, 365344, 58440231, 31879998,
+                63350620, 31249806,
+            ]),
+            xy2d: FieldElement2625([
+                51616947, 8012312, 64594134, 20851969, 43143017, 23300402, 65496150, 32018862,
+                50444388, 8194477,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                27338047, 26047012, 59694639, 10140404, 48082437, 26964542, 94386054, 42409807,
+                95681149, 36559595,
+            ]),
+            y_minus_x: FieldElement2625([
+                26287105, 4821776, 25476601, 29408529, 63344350, 17765447, 49100281, 1182478,
+                41014043, 20474836,
+            ]),
+            xy2d: FieldElement2625([
+                59937691, 3178079, 23970071, 6201893, 49913287, 29065239, 45232588, 19571804,
+                32208682, 32356184,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                50451143, 36372074, 56822501, 14811297, 73133531, 46903936, 39793359, 56611021,
+                39436277, 22014573,
+            ]),
+            y_minus_x: FieldElement2625([
+                15941010, 24148500, 45741813, 8062054, 31876073, 33315803, 51830470, 32110002,
+                15397330, 29424239,
+            ]),
+            xy2d: FieldElement2625([
+                8934485, 20068965, 43822466, 20131190, 34662773, 14047985, 31170398, 32113411,
+                39603297, 15087183,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                115860466, 31397939, 24524912, 16876564, 82629290, 27193655, 118715321, 11461894,
+                83897392, 27685489,
+            ]),
+            y_minus_x: FieldElement2625([
+                65161459, 16013772, 21750665, 3714552, 49707082, 17498998, 63338576, 23231111,
+                31322513, 21938797,
+            ]),
+            xy2d: FieldElement2625([
+                21426636, 27904214, 53460576, 28206894, 38296674, 28633461, 48833472, 18933017,
+                13040861, 21441484,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                78402740, 46032517, 107081326, 48638180, 104910306, 14748870, 14555558, 20137329,
+                68722574, 38451366,
+            ]),
+            y_minus_x: FieldElement2625([
+                41213962, 15323293, 58619073, 25496531, 25967125, 20128972, 2825959, 28657387,
+                43137087, 22287016,
+            ]),
+            xy2d: FieldElement2625([
+                51184079, 28324551, 49665331, 6410663, 3622847, 10243618, 20615400, 12405433,
+                43355834, 25118015,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                127126414, 46110638, 114026375, 9025185, 50036385, 4333800, 71487300, 35986461,
+                23097948, 32988414,
+            ]),
+            y_minus_x: FieldElement2625([
+                4565804, 17528778, 20084411, 25711615, 1724998, 189254, 24767264, 10103221,
+                48596551, 2424777,
+            ]),
+            xy2d: FieldElement2625([
+                366633, 21577626, 8173089, 26664313, 30788633, 5745705, 59940186, 1344108,
+                63466311, 12412658,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                110215918, 41244716, 82038279, 33386174, 102006892, 53695876, 91271559, 51782359,
+                63967361, 44733816,
+            ]),
+            y_minus_x: FieldElement2625([
+                18289503, 18829478, 8056944, 16430056, 45379140, 7842513, 61107423, 32067534,
+                48424218, 22110928,
+            ]),
+            xy2d: FieldElement2625([
+                476239, 6601091, 60956074, 23831056, 17503544, 28690532, 27672958, 13403813,
+                11052904, 5219329,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                87787372, 25178693, 34436965, 42403554, 129207969, 48129182, 98295834, 29580701,
+                9014761, 58529808,
+            ]),
+            y_minus_x: FieldElement2625([
+                53464795, 23204192, 51146355, 5075807, 65594203, 22019831, 34006363, 9160279,
+                8473550, 30297594,
+            ]),
+            xy2d: FieldElement2625([
+                24900749, 14435722, 17209120, 18261891, 44516588, 9878982, 59419555, 17218610,
+                42540382, 11788947,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                63990690, 22159237, 53306774, 48351872, 76761311, 26708527, 47071426, 43965164,
+                42540393, 32095740,
+            ]),
+            y_minus_x: FieldElement2625([
+                51449703, 16736705, 44641714, 10215877, 58011687, 7563910, 11871841, 21049238,
+                48595538, 8464117,
+            ]),
+            xy2d: FieldElement2625([
+                43708233, 8348506, 52522913, 32692717, 63158658, 27181012, 14325288, 8628612,
+                33313881, 25183915,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                46921853, 28586496, 89476219, 38825978, 66011746, 28765593, 109412060, 23317576,
+                58168128, 61290594,
+            ]),
+            y_minus_x: FieldElement2625([
+                60160060, 31759219, 34483180, 17533252, 32635413, 26180187, 15989196, 20716244,
+                28358191, 29300528,
+            ]),
+            xy2d: FieldElement2625([
+                43547083, 30755372, 34757181, 31892468, 57961144, 10429266, 50471180, 4072015,
+                61757200, 5596588,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                105981130, 30164382, 79421759, 39767609, 3117141, 49632997, 29266238, 36111653,
+                68877164, 15373192,
+            ]),
+            y_minus_x: FieldElement2625([
+                59865506, 30307471, 62515396, 26001078, 66980936, 32642186, 66017961, 29049440,
+                42448372, 3442909,
+            ]),
+            xy2d: FieldElement2625([
+                36898293, 5124042, 14181784, 8197961, 18964734, 21615339, 22597930, 7176455,
+                48523386, 13365929,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                59231455, 32054473, 75433536, 38244510, 73370723, 34444877, 24538106, 24984246,
+                57419264, 30522764,
+            ]),
+            y_minus_x: FieldElement2625([
+                25008885, 22782833, 62803832, 23916421, 16265035, 15721635, 683793, 21730648,
+                15723478, 18390951,
+            ]),
+            xy2d: FieldElement2625([
+                57448220, 12374378, 40101865, 26528283, 59384749, 21239917, 11879681, 5400171,
+                519526, 32318556,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                22258378, 50776631, 59239045, 14613015, 44588609, 30603508, 46754982, 40870398,
+                16648396, 41160072,
+            ]),
+            y_minus_x: FieldElement2625([
+                59027556, 25089834, 58885552, 9719709, 19259459, 18206220, 23994941, 28272877,
+                57640015, 4763277,
+            ]),
+            xy2d: FieldElement2625([
+                45409620, 9220968, 51378240, 1084136, 41632757, 30702041, 31088446, 25789909,
+                55752334, 728111,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                26047201, 55357393, 127317403, 50587064, 91200930, 9158118, 62835319, 20998873,
+                104852291, 28056158,
+            ]),
+            y_minus_x: FieldElement2625([
+                17510331, 33231575, 5854288, 8403524, 17133918, 30441820, 38997856, 12327944,
+                10750447, 10014012,
+            ]),
+            xy2d: FieldElement2625([
+                56796096, 3936951, 9156313, 24656749, 16498691, 32559785, 39627812, 32887699,
+                3424690, 7540221,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                97431206, 26590321, 78469868, 29411114, 74542167, 4989747, 127146306, 50791643,
+                57864597, 48812477,
+            ]),
+            y_minus_x: FieldElement2625([
+                13054543, 30774935, 19155473, 469045, 54626067, 4566041, 5631406, 2711395, 1062915,
+                28418087,
+            ]),
+            xy2d: FieldElement2625([
+                47868616, 22299832, 37599834, 26054466, 61273100, 13005410, 61042375, 12194496,
+                32960380, 1459310,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                86960860, 40582355, 90778216, 43574797, 75695366, 26896524, 67503060, 27452546,
+                85746866, 55933926,
+            ]),
+            y_minus_x: FieldElement2625([
+                31395515, 15098109, 26581030, 8030562, 50580950, 28547297, 9012485, 25970078,
+                60465776, 28111795,
+            ]),
+            xy2d: FieldElement2625([
+                57916680, 31207054, 65111764, 4529533, 25766844, 607986, 67095642, 9677542,
+                34813975, 27098423,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                64664330, 33404494, 96457765, 8186664, 68982624, 12489862, 103283149, 25714738,
+                59256019, 58970434,
+            ]),
+            y_minus_x: FieldElement2625([
+                51872508, 18120922, 7766469, 746860, 26346930, 23332670, 39775412, 10754587,
+                57677388, 5203575,
+            ]),
+            xy2d: FieldElement2625([
+                31834314, 14135496, 66338857, 5159117, 20917671, 16786336, 59640890, 26216907,
+                31809242, 7347066,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                57502122, 21680191, 87523322, 46588417, 80825387, 21862550, 86906833, 21343176,
+                82301739, 31466941,
+            ]),
+            y_minus_x: FieldElement2625([
+                54445282, 31372712, 1168161, 29749623, 26747876, 19416341, 10609329, 12694420,
+                33473243, 20172328,
+            ]),
+            xy2d: FieldElement2625([
+                33184999, 11180355, 15832085, 22169002, 65475192, 225883, 15089336, 22530529,
+                60973201, 14480052,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                98417562, 27934433, 98139703, 31657332, 82783410, 26971548, 72605071, 13685226,
+                27595050, 42291707,
+            ]),
+            y_minus_x: FieldElement2625([
+                46790012, 18404192, 10933842, 17376410, 8335351, 26008410, 36100512, 20943827,
+                26498113, 66511,
+            ]),
+            xy2d: FieldElement2625([
+                22644435, 24792703, 50437087, 4884561, 64003250, 19995065, 30540765, 29267685,
+                53781076, 26039336,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                106199862, 9834843, 85726071, 30873119, 63706907, 53801357, 75314402, 13585436,
+                117090263, 48669869,
+            ]),
+            y_minus_x: FieldElement2625([
+                23711543, 32881517, 31206560, 25191721, 6164646, 23844445, 33572981, 32128335,
+                8236920, 16492939,
+            ]),
+            xy2d: FieldElement2625([
+                43198286, 20038905, 40809380, 29050590, 25005589, 25867162, 19574901, 10071562,
+                6708380, 27332008,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                69210217, 28624377, 86811594, 35922006, 118790560, 34602105, 72409880, 42883131,
+                29955600, 55430554,
+            ]),
+            y_minus_x: FieldElement2625([
+                3096359, 9271816, 45488000, 18032587, 52260867, 25961494, 41216721, 20918836,
+                57191288, 6216607,
+            ]),
+            xy2d: FieldElement2625([
+                34493015, 338662, 41913253, 2510421, 37895298, 19734218, 24822829, 27407865,
+                40341383, 7525078,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                44042196, 53123240, 83242349, 25658253, 130828162, 34333218, 66198527, 30771936,
+                47722230, 45548532,
+            ]),
+            y_minus_x: FieldElement2625([
+                21691500, 19929806, 66467532, 19187410, 3285880, 30070836, 42044197, 9718257,
+                59631427, 13381417,
+            ]),
+            xy2d: FieldElement2625([
+                18445390, 29352196, 14979845, 11622458, 65381754, 29971451, 23111647, 27179185,
+                28535281, 15779576,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                30098034, 36644094, 124983340, 16662133, 45801924, 44862842, 53040409, 12021729,
+                77064149, 17251075,
+            ]),
+            y_minus_x: FieldElement2625([
+                9734894, 18977602, 59635230, 24415696, 2060391, 11313496, 48682835, 9924398,
+                20194861, 13380996,
+            ]),
+            xy2d: FieldElement2625([
+                40730762, 25589224, 44941042, 15789296, 49053522, 27385639, 65123949, 15707770,
+                26342023, 10146099,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                41091971, 33334488, 88448054, 33513043, 86854119, 30675731, 37471583, 35781471,
+                21612325, 33008704,
+            ]),
+            y_minus_x: FieldElement2625([
+                54031477, 1184227, 23562814, 27583990, 46757619, 27205717, 25764460, 12243797,
+                46252298, 11649657,
+            ]),
+            xy2d: FieldElement2625([
+                57077370, 11262625, 27384172, 2271902, 26947504, 17556661, 39943, 6114064,
+                33514190, 2333242,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                112784121, 54687041, 75228644, 40774344, 45278341, 58092729, 60429112, 54438225,
+                91459440, 20104430,
+            ]),
+            y_minus_x: FieldElement2625([
+                62992557, 22282898, 43222677, 4843614, 37020525, 690622, 35572776, 23147595,
+                8317859, 12352766,
+            ]),
+            xy2d: FieldElement2625([
+                18200138, 19078521, 34021104, 30857812, 43406342, 24451920, 43556767, 31266881,
+                20712162, 6719373,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                26656189, 39629685, 59250307, 35440503, 105873684, 37816756, 78226393, 29791221,
+                26224234, 30256974,
+            ]),
+            y_minus_x: FieldElement2625([
+                49939907, 18700334, 63713187, 17184554, 47154818, 14050419, 21728352, 9493610,
+                18620611, 17125804,
+            ]),
+            xy2d: FieldElement2625([
+                53785524, 13325348, 11432106, 5964811, 18609221, 6062965, 61839393, 23828875,
+                36407290, 17074774,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                43248307, 55875704, 94070219, 35195292, 34695751, 16816491, 79357372, 28313792,
+                80844205, 35488493,
+            ]),
+            y_minus_x: FieldElement2625([
+                25089769, 6742589, 17081145, 20148166, 21909292, 17486451, 51972569, 29789085,
+                45830866, 5473615,
+            ]),
+            xy2d: FieldElement2625([
+                31883658, 25593331, 1083431, 21982029, 22828470, 13290673, 59983779, 12469655,
+                29111212, 28103418,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                91353792, 52058456, 107954750, 36345970, 52111264, 50221109, 91476329, 39943270,
+                56813276, 34006814,
+            ]),
+            y_minus_x: FieldElement2625([
+                41468082, 30136590, 5217915, 16224624, 19987036, 29472163, 42872612, 27639183,
+                15766061, 8407814,
+            ]),
+            xy2d: FieldElement2625([
+                46701865, 13990230, 15495425, 16395525, 5377168, 15166495, 58191841, 29165478,
+                59040954, 2276717,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                30157899, 46478498, 116505677, 42800183, 87003891, 36922573, 43281276, 38650650,
+                89849239, 26251014,
+            ]),
+            y_minus_x: FieldElement2625([
+                2041139, 19298082, 7783686, 13876377, 41161879, 20201972, 24051123, 13742383,
+                51471265, 13295221,
+            ]),
+            xy2d: FieldElement2625([
+                33338218, 25048699, 12532112, 7977527, 9106186, 31839181, 49388668, 28941459,
+                62657506, 18884987,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                47063564, 39008528, 52762315, 40001577, 28862070, 35438083, 64639597, 29412551,
+                74879432, 43175028,
+            ]),
+            y_minus_x: FieldElement2625([
+                23208049, 7979712, 33071466, 8149229, 1758231, 22719437, 30945527, 31860109,
+                33606523, 18786461,
+            ]),
+            xy2d: FieldElement2625([
+                1439939, 17283952, 66028874, 32760649, 4625401, 10647766, 62065063, 1220117,
+                30494170, 22113633,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                62071265, 20526136, 64138304, 30492664, 82749837, 26852765, 40369837, 34480481,
+                65424524, 20220784,
+            ]),
+            y_minus_x: FieldElement2625([
+                13908495, 30005160, 30919927, 27280607, 45587000, 7989038, 9021034, 9078865,
+                3353509, 4033511,
+            ]),
+            xy2d: FieldElement2625([
+                37445433, 18440821, 32259990, 33209950, 24295848, 20642309, 23161162, 8839127,
+                27485041, 7356032,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                76769853, 34259874, 79088928, 28184277, 65480320, 14661172, 60762722, 36179446,
+                95539899, 50337029,
+            ]),
+            y_minus_x: FieldElement2625([
+                43269631, 25243016, 41163352, 7480957, 49427195, 25200248, 44562891, 14150564,
+                15970762, 4099461,
+            ]),
+            xy2d: FieldElement2625([
+                29262576, 16756590, 26350592, 24760869, 8529670, 22346382, 13617292, 23617289,
+                11465738, 8317062,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                41615764, 26591503, 99609063, 24135380, 44070139, 31252209, 82007500, 37402886,
+                88078197, 28396915,
+            ]),
+            y_minus_x: FieldElement2625([
+                46724414, 19206718, 48772458, 13884721, 34069410, 2842113, 45498038, 29904543,
+                11177094, 14989547,
+            ]),
+            xy2d: FieldElement2625([
+                42612143, 21838415, 16959895, 2278463, 12066309, 10137771, 13515641, 2581286,
+                38621356, 9930239,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                49357223, 31456605, 83653163, 54099563, 118302919, 18605349, 18345766, 53705111,
+                83400343, 28240393,
+            ]),
+            y_minus_x: FieldElement2625([
+                33879670, 2553287, 32678213, 9875984, 8534129, 6889387, 57432090, 6957616, 4368891,
+                9788741,
+            ]),
+            xy2d: FieldElement2625([
+                16660737, 7281060, 56278106, 12911819, 20108584, 25452756, 45386327, 24941283,
+                16250551, 22443329,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                47343357, 35944957, 117666696, 14161978, 69014150, 39969338, 71798447, 10604806,
+                104027325, 4782745,
+            ]),
+            y_minus_x: FieldElement2625([
+                65754325, 14736940, 59741422, 20261545, 7710541, 19398842, 57127292, 4383044,
+                22546403, 437323,
+            ]),
+            xy2d: FieldElement2625([
+                31665558, 21373968, 50922033, 1491338, 48740239, 3294681, 27343084, 2786261,
+                36475274, 19457415,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                52641566, 32870716, 33734756, 41002983, 19294359, 14334329, 47418233, 35909750,
+                47824192, 27440058,
+            ]),
+            y_minus_x: FieldElement2625([
+                15121312, 17758270, 6377019, 27523071, 56310752, 20596586, 18952176, 15496498,
+                37728731, 11754227,
+            ]),
+            xy2d: FieldElement2625([
+                64471568, 20071356, 8488726, 19250536, 12728760, 31931939, 7141595, 11724556,
+                22761615, 23420291,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                16918416, 11729663, 49025285, 36577418, 103201995, 53769203, 38367677, 21327038,
+                32851221, 11717399,
+            ]),
+            y_minus_x: FieldElement2625([
+                11166615, 7338049, 60386341, 4531519, 37640192, 26252376, 31474878, 3483633,
+                65915689, 29523600,
+            ]),
+            xy2d: FieldElement2625([
+                66923210, 9921304, 31456609, 20017994, 55095045, 13348922, 33142652, 6546660,
+                47123585, 29606055,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                101757113, 44821142, 55911756, 25655328, 31703693, 37410335, 58571732, 20721383,
+                36336829, 18068118,
+            ]),
+            y_minus_x: FieldElement2625([
+                49102387, 12709067, 3991746, 27075244, 45617340, 23004006, 35973516, 17504552,
+                10928916, 3011958,
+            ]),
+            xy2d: FieldElement2625([
+                60151107, 17960094, 31696058, 334240, 29576716, 14796075, 36277808, 20749251,
+                18008030, 10258577,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement2625([
+                44660220, 49210000, 74127342, 29144428, 36794597, 32352840, 65255398, 34921551,
+                92236737, 6671742,
+            ]),
+            y_minus_x: FieldElement2625([
+                29701166, 19180498, 56230743, 9279287, 67091296, 13127209, 21382910, 11042292,
+                25838796, 4642684,
+            ]),
+            xy2d: FieldElement2625([
+                46678630, 14955536, 42982517, 8124618, 61739576, 27563961, 30468146, 19653792,
+                18423288, 4177476,
+            ]),
+        },
+    ]),
+]);
 
 /// Odd multiples of the basepoint `[B, 3B, 5B, 7B, 9B, 11B, 13B, 15B, ..., 127B]`.
 #[allow(dead_code)]
diff --git a/src/backend/serial/u64/constants.rs b/src/backend/serial/u64/constants.rs
index 1c29999eb..22afefcff 100644
--- a/src/backend/serial/u64/constants.rs
+++ b/src/backend/serial/u64/constants.rs
@@ -321,5965 +321,5965 @@ pub const EIGHT_TORSION_INNER_DOC_HIDDEN: [EdwardsPoint; 8] = [
 ];
 
 /// Table containing precomputed multiples of the Ed25519 basepoint \\(B = (x, 4/5)\\).
-pub const ED25519_BASEPOINT_TABLE: EdwardsBasepointTable = ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN;
+pub static ED25519_BASEPOINT_TABLE: &'static EdwardsBasepointTable =
+    &ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN;
 
 /// Inner constant, used to avoid filling the docs with precomputed points.
 #[doc(hidden)]
-pub const ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN: EdwardsBasepointTable =
-    EdwardsBasepointTable([
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3540182452943730,
-                    2497478415033846,
-                    2521227595762870,
-                    1462984067271729,
-                    2389212253076811,
-                ]),
-                y_minus_x: FieldElement51([
-                    62697248952638,
-                    204681361388450,
-                    631292143396476,
-                    338455783676468,
-                    1213667448819585,
-                ]),
-                xy2d: FieldElement51([
-                    301289933810280,
-                    1259582250014073,
-                    1422107436869536,
-                    796239922652654,
-                    1953934009299142,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3632771708514775,
-                    790832306631235,
-                    2067202295274102,
-                    1995808275510000,
-                    1566530869037010,
-                ]),
-                y_minus_x: FieldElement51([
-                    463307831301544,
-                    432984605774163,
-                    1610641361907204,
-                    750899048855000,
-                    1894842303421586,
-                ]),
-                xy2d: FieldElement51([
-                    748439484463711,
-                    1033211726465151,
-                    1396005112841647,
-                    1611506220286469,
-                    1972177495910992,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1601611775252272,
-                    1720807796594148,
-                    1132070835939856,
-                    3512254832574799,
-                    2147779492816910,
-                ]),
-                y_minus_x: FieldElement51([
-                    316559037616741,
-                    2177824224946892,
-                    1459442586438991,
-                    1461528397712656,
-                    751590696113597,
-                ]),
-                xy2d: FieldElement51([
-                    1850748884277385,
-                    1200145853858453,
-                    1068094770532492,
-                    672251375690438,
-                    1586055907191707,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    934282339813791,
-                    1846903124198670,
-                    1172395437954843,
-                    1007037127761661,
-                    1830588347719256,
-                ]),
-                y_minus_x: FieldElement51([
-                    1694390458783935,
-                    1735906047636159,
-                    705069562067493,
-                    648033061693059,
-                    696214010414170,
-                ]),
-                xy2d: FieldElement51([
-                    1121406372216585,
-                    192876649532226,
-                    190294192191717,
-                    1994165897297032,
-                    2245000007398739,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    769950342298400,
-                    2384754244604994,
-                    3095885746880802,
-                    3225892188161580,
-                    2977876099231263,
-                ]),
-                y_minus_x: FieldElement51([
-                    425251763115706,
-                    608463272472562,
-                    442562545713235,
-                    837766094556764,
-                    374555092627893,
-                ]),
-                xy2d: FieldElement51([
-                    1086255230780037,
-                    274979815921559,
-                    1960002765731872,
-                    929474102396301,
-                    1190409889297339,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1388594989461809,
-                    316767091099457,
-                    2646098655878230,
-                    1230079486801004,
-                    1440737038838979,
-                ]),
-                y_minus_x: FieldElement51([
-                    7380825640100,
-                    146210432690483,
-                    304903576448906,
-                    1198869323871120,
-                    997689833219095,
-                ]),
-                xy2d: FieldElement51([
-                    1181317918772081,
-                    114573476638901,
-                    262805072233344,
-                    265712217171332,
-                    294181933805782,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2916800678241215,
-                    2065379846933858,
-                    2622030924071124,
-                    2602788184473875,
-                    1233371373142984,
-                ]),
-                y_minus_x: FieldElement51([
-                    2019367628972465,
-                    676711900706637,
-                    110710997811333,
-                    1108646842542025,
-                    517791959672113,
-                ]),
-                xy2d: FieldElement51([
-                    965130719900578,
-                    247011430587952,
-                    526356006571389,
-                    91986625355052,
-                    2157223321444601,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    4320419353804412,
-                    4218074731744053,
-                    957728544705548,
-                    729906502578991,
-                    2411634706750414,
-                ]),
-                y_minus_x: FieldElement51([
-                    2073601412052185,
-                    31021124762708,
-                    264500969797082,
-                    248034690651703,
-                    1030252227928288,
-                ]),
-                xy2d: FieldElement51([
-                    551790716293402,
-                    1989538725166328,
-                    801169423371717,
-                    2052451893578887,
-                    678432056995012,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1368953770187805,
-                    3042147450398169,
-                    2689308289352409,
-                    2142576377050579,
-                    1932081720066286,
-                ]),
-                y_minus_x: FieldElement51([
-                    953638594433374,
-                    1092333936795051,
-                    1419774766716690,
-                    805677984380077,
-                    859228993502513,
-                ]),
-                xy2d: FieldElement51([
-                    1200766035879111,
-                    20142053207432,
-                    1465634435977050,
-                    1645256912097844,
-                    295121984874596,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1735718747031538,
-                    1248237894295956,
-                    1204753118328107,
-                    976066523550493,
-                    2317743583219840,
-                ]),
-                y_minus_x: FieldElement51([
-                    1060098822528990,
-                    1586825862073490,
-                    212301317240126,
-                    1975302711403555,
-                    666724059764335,
-                ]),
-                xy2d: FieldElement51([
-                    1091990273418756,
-                    1572899409348578,
-                    80968014455247,
-                    306009358661350,
-                    1520450739132526,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3732317023121341,
-                    1511153322193951,
-                    3496143672676420,
-                    2556587964178488,
-                    2620936670181690,
-                ]),
-                y_minus_x: FieldElement51([
-                    2151330273626164,
-                    762045184746182,
-                    1688074332551515,
-                    823046109005759,
-                    907602769079491,
-                ]),
-                xy2d: FieldElement51([
-                    2047386910586836,
-                    168470092900250,
-                    1552838872594810,
-                    340951180073789,
-                    360819374702533,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1982622644432037,
-                    2014393600336956,
-                    2380709022489462,
-                    3869592437614438,
-                    2357094095599062,
-                ]),
-                y_minus_x: FieldElement51([
-                    980234343912898,
-                    1712256739246056,
-                    588935272190264,
-                    204298813091998,
-                    841798321043288,
-                ]),
-                xy2d: FieldElement51([
-                    197561292938973,
-                    454817274782871,
-                    1963754960082318,
-                    2113372252160468,
-                    971377527342673,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2416499262514576,
-                    2254927265442919,
-                    3451304785234000,
-                    1766155447043651,
-                    1899238924683527,
-                ]),
-                y_minus_x: FieldElement51([
-                    732262946680281,
-                    1674412764227063,
-                    2182456405662809,
-                    1350894754474250,
-                    558458873295247,
-                ]),
-                xy2d: FieldElement51([
-                    2103305098582922,
-                    1960809151316468,
-                    715134605001343,
-                    1454892949167181,
-                    40827143824949,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1239289043050193,
-                    1744654158124578,
-                    758702410031698,
-                    4048562808759936,
-                    2253402870349013,
-                ]),
-                y_minus_x: FieldElement51([
-                    2232056027107988,
-                    987343914584615,
-                    2115594492994461,
-                    1819598072792159,
-                    1119305654014850,
-                ]),
-                xy2d: FieldElement51([
-                    320153677847348,
-                    939613871605645,
-                    641883205761567,
-                    1930009789398224,
-                    329165806634126,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3232730304159378,
-                    1242488692177892,
-                    1251446316964684,
-                    1086618677993530,
-                    1961430968465772,
-                ]),
-                y_minus_x: FieldElement51([
-                    276821765317453,
-                    1536835591188030,
-                    1305212741412361,
-                    61473904210175,
-                    2051377036983058,
-                ]),
-                xy2d: FieldElement51([
-                    833449923882501,
-                    1750270368490475,
-                    1123347002068295,
-                    185477424765687,
-                    278090826653186,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    794524995833413,
-                    1849907304548286,
-                    2305148486158393,
-                    1272368559505216,
-                    1147304168324779,
-                ]),
-                y_minus_x: FieldElement51([
-                    1504846112759364,
-                    1203096289004681,
-                    562139421471418,
-                    274333017451844,
-                    1284344053775441,
-                ]),
-                xy2d: FieldElement51([
-                    483048732424432,
-                    2116063063343382,
-                    30120189902313,
-                    292451576741007,
-                    1156379271702225,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3180171966714267,
-                    2147692869914563,
-                    1455665844462196,
-                    1986737809425946,
-                    2437006863943337,
-                ]),
-                y_minus_x: FieldElement51([
-                    137732961814206,
-                    706670923917341,
-                    1387038086865771,
-                    1965643813686352,
-                    1384777115696347,
-                ]),
-                xy2d: FieldElement51([
-                    481144981981577,
-                    2053319313589856,
-                    2065402289827512,
-                    617954271490316,
-                    1106602634668125,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2948097833334040,
-                    3145099472726142,
-                    1148636718636008,
-                    2278533891034865,
-                    2203955659340680,
-                ]),
-                y_minus_x: FieldElement51([
-                    657390353372855,
-                    998499966885562,
-                    991893336905797,
-                    810470207106761,
-                    343139804608786,
-                ]),
-                xy2d: FieldElement51([
-                    791736669492960,
-                    934767652997115,
-                    824656780392914,
-                    1759463253018643,
-                    361530362383518,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2022541353055578,
-                    4346500076272714,
-                    3802807888710933,
-                    2494585331103411,
-                    2947785218648809,
-                ]),
-                y_minus_x: FieldElement51([
-                    1287487199965223,
-                    2215311941380308,
-                    1552928390931986,
-                    1664859529680196,
-                    1125004975265243,
-                ]),
-                xy2d: FieldElement51([
-                    677434665154918,
-                    989582503122485,
-                    1817429540898386,
-                    1052904935475344,
-                    1143826298169798,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2619066141993637,
-                    2570231002607651,
-                    2947429167440602,
-                    2885885471266079,
-                    2276381426249673,
-                ]),
-                y_minus_x: FieldElement51([
-                    773360688841258,
-                    1815381330538070,
-                    363773437667376,
-                    539629987070205,
-                    783280434248437,
-                ]),
-                xy2d: FieldElement51([
-                    180820816194166,
-                    168937968377394,
-                    748416242794470,
-                    1227281252254508,
-                    1567587861004268,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2730575372268893,
-                    2062896624554806,
-                    2951191072970647,
-                    2609899222113120,
-                    1277310261461760,
-                ]),
-                y_minus_x: FieldElement51([
-                    1984740906540026,
-                    1079164179400229,
-                    1056021349262661,
-                    1659958556483663,
-                    1088529069025527,
-                ]),
-                xy2d: FieldElement51([
-                    580736401511151,
-                    1842931091388998,
-                    1177201471228238,
-                    2075460256527244,
-                    1301133425678027,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1515728832059163,
-                    1575261009617579,
-                    1510246567196186,
-                    2442877836294952,
-                    2368461529974388,
-                ]),
-                y_minus_x: FieldElement51([
-                    1295295738269652,
-                    1714742313707026,
-                    545583042462581,
-                    2034411676262552,
-                    1513248090013606,
-                ]),
-                xy2d: FieldElement51([
-                    230710545179830,
-                    30821514358353,
-                    760704303452229,
-                    390668103790604,
-                    573437871383156,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3421179921230875,
-                    2514967047430861,
-                    4274701112739695,
-                    3071700566936367,
-                    4275698278559832,
-                ]),
-                y_minus_x: FieldElement51([
-                    2102254323485823,
-                    1570832666216754,
-                    34696906544624,
-                    1993213739807337,
-                    70638552271463,
-                ]),
-                xy2d: FieldElement51([
-                    894132856735058,
-                    548675863558441,
-                    845349339503395,
-                    1942269668326667,
-                    1615682209874691,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3539470031223082,
-                    1222355136884919,
-                    1846481788678694,
-                    1150426571265110,
-                    1613523400722047,
-                ]),
-                y_minus_x: FieldElement51([
-                    793388516527298,
-                    1315457083650035,
-                    1972286999342417,
-                    1901825953052455,
-                    338269477222410,
-                ]),
-                xy2d: FieldElement51([
-                    550201530671806,
-                    778605267108140,
-                    2063911101902983,
-                    115500557286349,
-                    2041641272971022,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    717255318455100,
-                    519313764361315,
-                    2080406977303708,
-                    541981206705521,
-                    774328150311600,
-                ]),
-                y_minus_x: FieldElement51([
-                    261715221532238,
-                    1795354330069993,
-                    1496878026850283,
-                    499739720521052,
-                    389031152673770,
-                ]),
-                xy2d: FieldElement51([
-                    1997217696294013,
-                    1717306351628065,
-                    1684313917746180,
-                    1644426076011410,
-                    1857378133465451,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3727234538477877,
-                    2328731709971226,
-                    3368528843456914,
-                    2002544139318041,
-                    2977347647489186,
-                ]),
-                y_minus_x: FieldElement51([
-                    2022306639183567,
-                    726296063571875,
-                    315345054448644,
-                    1058733329149221,
-                    1448201136060677,
-                ]),
-                xy2d: FieldElement51([
-                    1710065158525665,
-                    1895094923036397,
-                    123988286168546,
-                    1145519900776355,
-                    1607510767693874,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2813405189107769,
-                    1071733543815036,
-                    2383296312486238,
-                    1946868434569998,
-                    3079937947649451,
-                ]),
-                y_minus_x: FieldElement51([
-                    1548495173745801,
-                    442310529226540,
-                    998072547000384,
-                    553054358385281,
-                    644824326376171,
-                ]),
-                xy2d: FieldElement51([
-                    1445526537029440,
-                    2225519789662536,
-                    914628859347385,
-                    1064754194555068,
-                    1660295614401091,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3451490036797185,
-                    2275827949507588,
-                    2318438102929588,
-                    2309425969971222,
-                    2816893781664854,
-                ]),
-                y_minus_x: FieldElement51([
-                    876926774220824,
-                    554618976488214,
-                    1012056309841565,
-                    839961821554611,
-                    1414499340307677,
-                ]),
-                xy2d: FieldElement51([
-                    703047626104145,
-                    1266841406201770,
-                    165556500219173,
-                    486991595001879,
-                    1011325891650656,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1622861044480487,
-                    1156394801573634,
-                    4120932379100752,
-                    2578903799462977,
-                    2095342781472283,
-                ]),
-                y_minus_x: FieldElement51([
-                    334886927423922,
-                    489511099221528,
-                    129160865966726,
-                    1720809113143481,
-                    619700195649254,
-                ]),
-                xy2d: FieldElement51([
-                    1646545795166119,
-                    1758370782583567,
-                    714746174550637,
-                    1472693650165135,
-                    898994790308209,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2585203586724508,
-                    2547572356138185,
-                    1693106465353609,
-                    912330357530760,
-                    2723035471635610,
-                ]),
-                y_minus_x: FieldElement51([
-                    1811196219982022,
-                    1068969825533602,
-                    289602974833439,
-                    1988956043611592,
-                    863562343398367,
-                ]),
-                xy2d: FieldElement51([
-                    906282429780072,
-                    2108672665779781,
-                    432396390473936,
-                    150625823801893,
-                    1708930497638539,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    925664675702309,
-                    2273216662253932,
-                    4083236455546587,
-                    601157008940112,
-                    2623617868729744,
-                ]),
-                y_minus_x: FieldElement51([
-                    1479786007267725,
-                    1738881859066675,
-                    68646196476567,
-                    2146507056100328,
-                    1247662817535471,
-                ]),
-                xy2d: FieldElement51([
-                    52035296774456,
-                    939969390708103,
-                    312023458773250,
-                    59873523517659,
-                    1231345905848899,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2895154920100990,
-                    2541986621181021,
-                    2013561737429022,
-                    2571447883196794,
-                    2645536492181409,
-                ]),
-                y_minus_x: FieldElement51([
-                    129358342392716,
-                    1932811617704777,
-                    1176749390799681,
-                    398040349861790,
-                    1170779668090425,
-                ]),
-                xy2d: FieldElement51([
-                    2051980782668029,
-                    121859921510665,
-                    2048329875753063,
-                    1235229850149665,
-                    519062146124755,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3859970785658325,
-                    2667608874045675,
-                    1350468408164765,
-                    2038620059057678,
-                    3278704299674360,
-                ]),
-                y_minus_x: FieldElement51([
-                    1837656083115103,
-                    1510134048812070,
-                    906263674192061,
-                    1821064197805734,
-                    565375124676301,
-                ]),
-                xy2d: FieldElement51([
-                    578027192365650,
-                    2034800251375322,
-                    2128954087207123,
-                    478816193810521,
-                    2196171989962750,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1633188840273120,
-                    3104586986058956,
-                    1548762607215795,
-                    1266275218902681,
-                    3359018017010381,
-                ]),
-                y_minus_x: FieldElement51([
-                    462189358480054,
-                    1784816734159228,
-                    1611334301651368,
-                    1303938263943540,
-                    707589560319424,
-                ]),
-                xy2d: FieldElement51([
-                    1038829280972848,
-                    38176604650029,
-                    753193246598573,
-                    1136076426528122,
-                    595709990562434,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3660251634545082,
-                    2194984964010832,
-                    2198361797561729,
-                    1061962440055713,
-                    1645147963442934,
-                ]),
-                y_minus_x: FieldElement51([
-                    4701053362120,
-                    1647641066302348,
-                    1047553002242085,
-                    1923635013395977,
-                    206970314902065,
-                ]),
-                xy2d: FieldElement51([
-                    1750479161778571,
-                    1362553355169293,
-                    1891721260220598,
-                    966109370862782,
-                    1024913988299801,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2464498862816952,
-                    1117950018299774,
-                    1873945661751056,
-                    3655602735669306,
-                    2382695896337945,
-                ]),
-                y_minus_x: FieldElement51([
-                    636808533673210,
-                    1262201711667560,
-                    390951380330599,
-                    1663420692697294,
-                    561951321757406,
-                ]),
-                xy2d: FieldElement51([
-                    520731594438141,
-                    1446301499955692,
-                    273753264629267,
-                    1565101517999256,
-                    1019411827004672,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3178327305714638,
-                    3443653291096626,
-                    734233225181170,
-                    2435838701226518,
-                    4042225960010590,
-                ]),
-                y_minus_x: FieldElement51([
-                    1464651961852572,
-                    1483737295721717,
-                    1519450561335517,
-                    1161429831763785,
-                    405914998179977,
-                ]),
-                xy2d: FieldElement51([
-                    996126634382301,
-                    796204125879525,
-                    127517800546509,
-                    344155944689303,
-                    615279846169038,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2990523894660505,
-                    2188666632415295,
-                    1961313708559162,
-                    1506545807547587,
-                    3403101452654988,
-                ]),
-                y_minus_x: FieldElement51([
-                    622917337413835,
-                    1218989177089035,
-                    1284857712846592,
-                    970502061709359,
-                    351025208117090,
-                ]),
-                xy2d: FieldElement51([
-                    2067814584765580,
-                    1677855129927492,
-                    2086109782475197,
-                    235286517313238,
-                    1416314046739645,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2838644076315587,
-                    2559244195637442,
-                    458399356043425,
-                    2853867838192310,
-                    3280348017100490,
-                ]),
-                y_minus_x: FieldElement51([
-                    678489922928203,
-                    2016657584724032,
-                    90977383049628,
-                    1026831907234582,
-                    615271492942522,
-                ]),
-                xy2d: FieldElement51([
-                    301225714012278,
-                    1094837270268560,
-                    1202288391010439,
-                    644352775178361,
-                    1647055902137983,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1210746697896459,
-                    1416608304244708,
-                    2938287290903104,
-                    3496931005119382,
-                    3303038150540984,
-                ]),
-                y_minus_x: FieldElement51([
-                    1135604073198207,
-                    1683322080485474,
-                    769147804376683,
-                    2086688130589414,
-                    900445683120379,
-                ]),
-                xy2d: FieldElement51([
-                    1971518477615628,
-                    401909519527336,
-                    448627091057375,
-                    1409486868273821,
-                    1214789035034363,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1364039144731711,
-                    1897497433586190,
-                    2203097701135459,
-                    2397261210496499,
-                    1349844460790698,
-                ]),
-                y_minus_x: FieldElement51([
-                    1045230323257973,
-                    818206601145807,
-                    630513189076103,
-                    1672046528998132,
-                    807204017562437,
-                ]),
-                xy2d: FieldElement51([
-                    439961968385997,
-                    386362664488986,
-                    1382706320807688,
-                    309894000125359,
-                    2207801346498567,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3480804500082836,
-                    3172443782216110,
-                    2375775707596425,
-                    2933223806901024,
-                    1400559197080972,
-                ]),
-                y_minus_x: FieldElement51([
-                    2003766096898049,
-                    170074059235165,
-                    1141124258967971,
-                    1485419893480973,
-                    1573762821028725,
-                ]),
-                xy2d: FieldElement51([
-                    729905708611432,
-                    1270323270673202,
-                    123353058984288,
-                    426460209632942,
-                    2195574535456672,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1271140255321216,
-                    2044363183174497,
-                    2303925201319937,
-                    3696920060379952,
-                    3194341800024331,
-                ]),
-                y_minus_x: FieldElement51([
-                    1761608437466135,
-                    583360847526804,
-                    1586706389685493,
-                    2157056599579261,
-                    1170692369685772,
-                ]),
-                xy2d: FieldElement51([
-                    871476219910823,
-                    1878769545097794,
-                    2241832391238412,
-                    548957640601001,
-                    690047440233174,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2548994545820755,
-                    1366347803776819,
-                    3552985325930849,
-                    561849853336293,
-                    1533554921345731,
-                ]),
-                y_minus_x: FieldElement51([
-                    999628998628371,
-                    1132836708493400,
-                    2084741674517453,
-                    469343353015612,
-                    678782988708035,
-                ]),
-                xy2d: FieldElement51([
-                    2189427607417022,
-                    699801937082607,
-                    412764402319267,
-                    1478091893643349,
-                    2244675696854460,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3964091869651792,
-                    2456213404310121,
-                    3657538451018088,
-                    2660781114515010,
-                    3112882032961968,
-                ]),
-                y_minus_x: FieldElement51([
-                    508561155940631,
-                    966928475686665,
-                    2236717801150132,
-                    424543858577297,
-                    2089272956986143,
-                ]),
-                xy2d: FieldElement51([
-                    221245220129925,
-                    1156020201681217,
-                    491145634799213,
-                    542422431960839,
-                    828100817819207,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2405556784925632,
-                    1299874139923976,
-                    2644898978945750,
-                    1058234455773021,
-                    996989038681183,
-                ]),
-                y_minus_x: FieldElement51([
-                    559086812798481,
-                    573177704212711,
-                    1629737083816402,
-                    1399819713462595,
-                    1646954378266038,
-                ]),
-                xy2d: FieldElement51([
-                    1887963056288059,
-                    228507035730124,
-                    1468368348640282,
-                    930557653420194,
-                    613513962454686,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1224529808187534,
-                    1577022856702685,
-                    2206946542980843,
-                    625883007765001,
-                    2531730607197406,
-                ]),
-                y_minus_x: FieldElement51([
-                    1076287717051609,
-                    1114455570543035,
-                    187297059715481,
-                    250446884292121,
-                    1885187512550540,
-                ]),
-                xy2d: FieldElement51([
-                    902497362940219,
-                    76749815795675,
-                    1657927525633846,
-                    1420238379745202,
-                    1340321636548352,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1129576631190765,
-                    3533793823712575,
-                    996844254743017,
-                    2509676177174497,
-                    3402650555740265,
-                ]),
-                y_minus_x: FieldElement51([
-                    628740660038789,
-                    1943038498527841,
-                    467786347793886,
-                    1093341428303375,
-                    235413859513003,
-                ]),
-                xy2d: FieldElement51([
-                    237425418909360,
-                    469614029179605,
-                    1512389769174935,
-                    1241726368345357,
-                    441602891065214,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3988217766743784,
-                    726531315520507,
-                    1833335034432527,
-                    1629442561574747,
-                    2876218732971333,
-                ]),
-                y_minus_x: FieldElement51([
-                    1960754663920689,
-                    497040957888962,
-                    1909832851283095,
-                    1271432136996826,
-                    2219780368020940,
-                ]),
-                xy2d: FieldElement51([
-                    1537037379417136,
-                    1358865369268262,
-                    2130838645654099,
-                    828733687040705,
-                    1999987652890901,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    629042105241795,
-                    1098854999137608,
-                    887281544569320,
-                    3674901833560025,
-                    2259711072636808,
-                ]),
-                y_minus_x: FieldElement51([
-                    1811562332665373,
-                    1501882019007673,
-                    2213763501088999,
-                    359573079719636,
-                    36370565049116,
-                ]),
-                xy2d: FieldElement51([
-                    218907117361280,
-                    1209298913016966,
-                    1944312619096112,
-                    1130690631451061,
-                    1342327389191701,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1369976867854685,
-                    1396479602419169,
-                    4017456468084104,
-                    2203659200586298,
-                    3250127649802489,
-                ]),
-                y_minus_x: FieldElement51([
-                    2230701885562825,
-                    1348173180338974,
-                    2172856128624598,
-                    1426538746123771,
-                    444193481326151,
-                ]),
-                xy2d: FieldElement51([
-                    784210426627951,
-                    918204562375674,
-                    1284546780452985,
-                    1324534636134684,
-                    1872449409642708,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2571438643225542,
-                    2848082470493653,
-                    2037902696412607,
-                    1557219121643918,
-                    341938082688094,
-                ]),
-                y_minus_x: FieldElement51([
-                    1901860206695915,
-                    2004489122065736,
-                    1625847061568236,
-                    973529743399879,
-                    2075287685312905,
-                ]),
-                xy2d: FieldElement51([
-                    1371853944110545,
-                    1042332820512553,
-                    1949855697918254,
-                    1791195775521505,
-                    37487364849293,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    687200189577836,
-                    1082536651125675,
-                    2896024754556794,
-                    2592723009743198,
-                    2595381160432643,
-                ]),
-                y_minus_x: FieldElement51([
-                    2082717129583892,
-                    27829425539422,
-                    145655066671970,
-                    1690527209845512,
-                    1865260509673478,
-                ]),
-                xy2d: FieldElement51([
-                    1059729620568824,
-                    2163709103470266,
-                    1440302280256872,
-                    1769143160546397,
-                    869830310425069,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3861316033464273,
-                    777277757338816,
-                    2101121130363987,
-                    550762194946473,
-                    1905542338659364,
-                ]),
-                y_minus_x: FieldElement51([
-                    2024821921041576,
-                    426948675450149,
-                    595133284085473,
-                    471860860885970,
-                    600321679413000,
-                ]),
-                xy2d: FieldElement51([
-                    598474602406721,
-                    1468128276358244,
-                    1191923149557635,
-                    1501376424093216,
-                    1281662691293476,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1721138489890688,
-                    1264336102277790,
-                    2684864359106535,
-                    1359988423149465,
-                    3813671107094695,
-                ]),
-                y_minus_x: FieldElement51([
-                    719520245587143,
-                    393380711632345,
-                    132350400863381,
-                    1543271270810729,
-                    1819543295798660,
-                ]),
-                xy2d: FieldElement51([
-                    396397949784152,
-                    1811354474471839,
-                    1362679985304303,
-                    2117033964846756,
-                    498041172552279,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1812471844975748,
-                    1856491995543149,
-                    126579494584102,
-                    3288044672967868,
-                    1975108050082549,
-                ]),
-                y_minus_x: FieldElement51([
-                    650623932407995,
-                    1137551288410575,
-                    2125223403615539,
-                    1725658013221271,
-                    2134892965117796,
-                ]),
-                xy2d: FieldElement51([
-                    522584000310195,
-                    1241762481390450,
-                    1743702789495384,
-                    2227404127826575,
-                    1686746002148897,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    427904865186293,
-                    1703211129693455,
-                    1585368107547509,
-                    3688784302429584,
-                    3012988348299225,
-                ]),
-                y_minus_x: FieldElement51([
-                    318101947455002,
-                    248138407995851,
-                    1481904195303927,
-                    309278454311197,
-                    1258516760217879,
-                ]),
-                xy2d: FieldElement51([
-                    1275068538599310,
-                    513726919533379,
-                    349926553492294,
-                    688428871968420,
-                    1702400196000666,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3313663849950481,
-                    3213411074010628,
-                    2573659446386085,
-                    3297400443644764,
-                    1985130202504037,
-                ]),
-                y_minus_x: FieldElement51([
-                    1558816436882417,
-                    1962896332636523,
-                    1337709822062152,
-                    1501413830776938,
-                    294436165831932,
-                ]),
-                xy2d: FieldElement51([
-                    818359826554971,
-                    1862173000996177,
-                    626821592884859,
-                    573655738872376,
-                    1749691246745455,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1988022651432119,
-                    3333911312271288,
-                    1834020786104820,
-                    3706626690108935,
-                    692929915223121,
-                ]),
-                y_minus_x: FieldElement51([
-                    2146513703733331,
-                    584788900394667,
-                    464965657279958,
-                    2183973639356127,
-                    238371159456790,
-                ]),
-                xy2d: FieldElement51([
-                    1129007025494441,
-                    2197883144413266,
-                    265142755578169,
-                    971864464758890,
-                    1983715884903702,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1291366624493056,
-                    2633256531874362,
-                    1711482489312443,
-                    1815233647702022,
-                    3144079596677715,
-                ]),
-                y_minus_x: FieldElement51([
-                    444548969917454,
-                    1452286453853356,
-                    2113731441506810,
-                    645188273895859,
-                    810317625309512,
-                ]),
-                xy2d: FieldElement51([
-                    2242724082797924,
-                    1373354730327868,
-                    1006520110883049,
-                    2147330369940688,
-                    1151816104883620,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3997520014069025,
-                    4163522956860564,
-                    2056329390702073,
-                    2607026987995097,
-                    3131032608056347,
-                ]),
-                y_minus_x: FieldElement51([
-                    163723479936298,
-                    115424889803150,
-                    1156016391581227,
-                    1894942220753364,
-                    1970549419986329,
-                ]),
-                xy2d: FieldElement51([
-                    681981452362484,
-                    267208874112496,
-                    1374683991933094,
-                    638600984916117,
-                    646178654558546,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2265178468539480,
-                    2358037120714814,
-                    1944412051589650,
-                    4093776581610705,
-                    2482502633520820,
-                ]),
-                y_minus_x: FieldElement51([
-                    260683893467075,
-                    854060306077237,
-                    913639551980112,
-                    4704576840123,
-                    280254810808712,
-                ]),
-                xy2d: FieldElement51([
-                    715374893080287,
-                    1173334812210491,
-                    1806524662079626,
-                    1894596008000979,
-                    398905715033393,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2751826223412909,
-                    3848231101880618,
-                    1420380351989369,
-                    3237011375206737,
-                    392444930785632,
-                ]),
-                y_minus_x: FieldElement51([
-                    2096421546958141,
-                    1922523000950363,
-                    789831022876840,
-                    427295144688779,
-                    320923973161730,
-                ]),
-                xy2d: FieldElement51([
-                    1927770723575450,
-                    1485792977512719,
-                    1850996108474547,
-                    551696031508956,
-                    2126047405475647,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2112099158080129,
-                    2994370617594963,
-                    2258284371762679,
-                    1951119898618915,
-                    2344890196388664,
-                ]),
-                y_minus_x: FieldElement51([
-                    383905201636970,
-                    859946997631870,
-                    855623867637644,
-                    1017125780577795,
-                    794250831877809,
-                ]),
-                xy2d: FieldElement51([
-                    77571826285752,
-                    999304298101753,
-                    487841111777762,
-                    1038031143212339,
-                    339066367948762,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2926794589205781,
-                    2517835660016036,
-                    826951213393477,
-                    1405007746162285,
-                    1781791018620876,
-                ]),
-                y_minus_x: FieldElement51([
-                    1001412661522686,
-                    348196197067298,
-                    1666614366723946,
-                    888424995032760,
-                    580747687801357,
-                ]),
-                xy2d: FieldElement51([
-                    1939560076207777,
-                    1409892634407635,
-                    552574736069277,
-                    383854338280405,
-                    190706709864139,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2177087163428741,
-                    1439255351721944,
-                    3459870654068041,
-                    2230616362004768,
-                    1396886392021913,
-                ]),
-                y_minus_x: FieldElement51([
-                    676962063230039,
-                    1880275537148808,
-                    2046721011602706,
-                    888463247083003,
-                    1318301552024067,
-                ]),
-                xy2d: FieldElement51([
-                    1466980508178206,
-                    617045217998949,
-                    652303580573628,
-                    757303753529064,
-                    207583137376902,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3762856566592150,
-                    2357202940576524,
-                    2745234706458093,
-                    1091943425335975,
-                    1802717338077427,
-                ]),
-                y_minus_x: FieldElement51([
-                    1853982405405128,
-                    1878664056251147,
-                    1528011020803992,
-                    1019626468153565,
-                    1128438412189035,
-                ]),
-                xy2d: FieldElement51([
-                    1963939888391106,
-                    293456433791664,
-                    697897559513649,
-                    985882796904380,
-                    796244541237972,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2668570812315008,
-                    2641455366112301,
-                    1314476859406755,
-                    1749382513022778,
-                    3413705412424739,
-                ]),
-                y_minus_x: FieldElement51([
-                    1428358296490651,
-                    1027115282420478,
-                    304840698058337,
-                    441410174026628,
-                    1819358356278573,
-                ]),
-                xy2d: FieldElement51([
-                    204943430200135,
-                    1554861433819175,
-                    216426658514651,
-                    264149070665950,
-                    2047097371738319,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1934415182909015,
-                    1393285083565062,
-                    2768209145458208,
-                    3409490548679139,
-                    2372839480279515,
-                ]),
-                y_minus_x: FieldElement51([
-                    662035583584445,
-                    286736105093098,
-                    1131773000510616,
-                    818494214211439,
-                    472943792054479,
-                ]),
-                xy2d: FieldElement51([
-                    665784778135882,
-                    1893179629898606,
-                    808313193813106,
-                    276797254706413,
-                    1563426179676396,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    945205108984213,
-                    2778077376644543,
-                    1324180513733565,
-                    1666970227868664,
-                    2405347422974421,
-                ]),
-                y_minus_x: FieldElement51([
-                    2031433403516252,
-                    203996615228162,
-                    170487168837083,
-                    981513604791390,
-                    843573964916831,
-                ]),
-                xy2d: FieldElement51([
-                    1476570093962618,
-                    838514669399805,
-                    1857930577281364,
-                    2017007352225784,
-                    317085545220047,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1461557121912823,
-                    1600674043318359,
-                    2157134900399597,
-                    1670641601940616,
-                    2379565397488531,
-                ]),
-                y_minus_x: FieldElement51([
-                    1293543509393474,
-                    2143624609202546,
-                    1058361566797508,
-                    214097127393994,
-                    946888515472729,
-                ]),
-                xy2d: FieldElement51([
-                    357067959932916,
-                    1290876214345711,
-                    521245575443703,
-                    1494975468601005,
-                    800942377643885,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2817916472785262,
-                    820247422481739,
-                    994464017954148,
-                    2578957425371613,
-                    2344391131796991,
-                ]),
-                y_minus_x: FieldElement51([
-                    617256647603209,
-                    1652107761099439,
-                    1857213046645471,
-                    1085597175214970,
-                    817432759830522,
-                ]),
-                xy2d: FieldElement51([
-                    771808161440705,
-                    1323510426395069,
-                    680497615846440,
-                    851580615547985,
-                    1320806384849017,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1219260086131896,
-                    2898968820282063,
-                    2331400938444953,
-                    2161724213426747,
-                    2656661710745446,
-                ]),
-                y_minus_x: FieldElement51([
-                    1327968293887866,
-                    1335500852943256,
-                    1401587164534264,
-                    558137311952440,
-                    1551360549268902,
-                ]),
-                xy2d: FieldElement51([
-                    417621685193956,
-                    1429953819744454,
-                    396157358457099,
-                    1940470778873255,
-                    214000046234152,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1268047918491954,
-                    2172375426948536,
-                    1533916099229249,
-                    1761293575457130,
-                    3842422480712013,
-                ]),
-                y_minus_x: FieldElement51([
-                    1627072914981959,
-                    2211603081280073,
-                    1912369601616504,
-                    1191770436221309,
-                    2187309757525860,
-                ]),
-                xy2d: FieldElement51([
-                    1149147819689533,
-                    378692712667677,
-                    828475842424202,
-                    2218619146419342,
-                    70688125792186,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3551539230764990,
-                    3690416477138006,
-                    3788528892189659,
-                    2053896748919837,
-                    3260220846276494,
-                ]),
-                y_minus_x: FieldElement51([
-                    2040723824657366,
-                    399555637875075,
-                    632543375452995,
-                    872649937008051,
-                    1235394727030233,
-                ]),
-                xy2d: FieldElement51([
-                    2211311599327900,
-                    2139787259888175,
-                    938706616835350,
-                    12609661139114,
-                    2081897930719789,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1324994503390431,
-                    2588782144267879,
-                    1183998925654176,
-                    3343454479598522,
-                    2300527487656566,
-                ]),
-                y_minus_x: FieldElement51([
-                    1845522914617879,
-                    1222198248335542,
-                    150841072760134,
-                    1927029069940982,
-                    1189913404498011,
-                ]),
-                xy2d: FieldElement51([
-                    1079559557592645,
-                    2215338383666441,
-                    1903569501302605,
-                    49033973033940,
-                    305703433934152,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2346453219102138,
-                    3637921163538246,
-                    3313930291577009,
-                    2288353761164521,
-                    3085469462634093,
-                ]),
-                y_minus_x: FieldElement51([
-                    1432015813136298,
-                    440364795295369,
-                    1395647062821501,
-                    1976874522764578,
-                    934452372723352,
-                ]),
-                xy2d: FieldElement51([
-                    1296625309219774,
-                    2068273464883862,
-                    1858621048097805,
-                    1492281814208508,
-                    2235868981918946,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1490330266465551,
-                    1858795661361448,
-                    3688040948655011,
-                    2546373032584894,
-                    3459939824714180,
-                ]),
-                y_minus_x: FieldElement51([
-                    1282462923712748,
-                    741885683986255,
-                    2027754642827561,
-                    518989529541027,
-                    1826610009555945,
-                ]),
-                xy2d: FieldElement51([
-                    1525827120027511,
-                    723686461809551,
-                    1597702369236987,
-                    244802101764964,
-                    1502833890372311,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2365421849929742,
-                    3485539881431101,
-                    2925909765963743,
-                    2114345180342964,
-                    2418564326541511,
-                ]),
-                y_minus_x: FieldElement51([
-                    2041668749310338,
-                    2184405322203901,
-                    1633400637611036,
-                    2110682505536899,
-                    2048144390084644,
-                ]),
-                xy2d: FieldElement51([
-                    503058759232932,
-                    760293024620937,
-                    2027152777219493,
-                    666858468148475,
-                    1539184379870952,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1916168475367211,
-                    3167426246226591,
-                    883217071712574,
-                    363427871374304,
-                    1976029821251593,
-                ]),
-                y_minus_x: FieldElement51([
-                    678039535434506,
-                    570587290189340,
-                    1605302676614120,
-                    2147762562875701,
-                    1706063797091704,
-                ]),
-                xy2d: FieldElement51([
-                    1439489648586438,
-                    2194580753290951,
-                    832380563557396,
-                    561521973970522,
-                    584497280718389,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2439789269177838,
-                    681223515948274,
-                    1933493571072456,
-                    1872921007304880,
-                    2739962177820919,
-                ]),
-                y_minus_x: FieldElement51([
-                    1413466089534451,
-                    410844090765630,
-                    1397263346404072,
-                    408227143123410,
-                    1594561803147811,
-                ]),
-                xy2d: FieldElement51([
-                    2102170800973153,
-                    719462588665004,
-                    1479649438510153,
-                    1097529543970028,
-                    1302363283777685,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3193865531532443,
-                    3321113493038208,
-                    2007341951411050,
-                    2322773230131539,
-                    1419433790163705,
-                ]),
-                y_minus_x: FieldElement51([
-                    1146565545556377,
-                    1661971299445212,
-                    406681704748893,
-                    564452436406089,
-                    1109109865829139,
-                ]),
-                xy2d: FieldElement51([
-                    2214421081775077,
-                    1165671861210569,
-                    1890453018796184,
-                    3556249878661,
-                    442116172656317,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3005630360306059,
-                    1666955059895018,
-                    1530775289309243,
-                    3371786842789394,
-                    2164156153857579,
-                ]),
-                y_minus_x: FieldElement51([
-                    615171919212796,
-                    1523849404854568,
-                    854560460547503,
-                    2067097370290715,
-                    1765325848586042,
-                ]),
-                xy2d: FieldElement51([
-                    1094538949313667,
-                    1796592198908825,
-                    870221004284388,
-                    2025558921863561,
-                    1699010892802384,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1951351290725195,
-                    1916457206844795,
-                    2449824998123274,
-                    1909076887557594,
-                    1938542290318919,
-                ]),
-                y_minus_x: FieldElement51([
-                    1014323197538413,
-                    869150639940606,
-                    1756009942696599,
-                    1334952557375672,
-                    1544945379082874,
-                ]),
-                xy2d: FieldElement51([
-                    764055910920305,
-                    1603590757375439,
-                    146805246592357,
-                    1843313433854297,
-                    954279890114939,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    80113526615731,
-                    764536758732259,
-                    3306939158785481,
-                    2721052465444637,
-                    2869697326116762,
-                ]),
-                y_minus_x: FieldElement51([
-                    74497112547268,
-                    740094153192149,
-                    1745254631717581,
-                    727713886503130,
-                    1283034364416928,
-                ]),
-                xy2d: FieldElement51([
-                    525892105991110,
-                    1723776830270342,
-                    1476444848991936,
-                    573789489857760,
-                    133864092632978,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2794411533877810,
-                    1986812262899320,
-                    1162535242465837,
-                    2733298779828712,
-                    2796400347268869,
-                ]),
-                y_minus_x: FieldElement51([
-                    64123227344372,
-                    1239927720647794,
-                    1360722983445904,
-                    222610813654661,
-                    62429487187991,
-                ]),
-                xy2d: FieldElement51([
-                    1793193323953132,
-                    91096687857833,
-                    70945970938921,
-                    2158587638946380,
-                    1537042406482111,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1895854577604590,
-                    3646695522634664,
-                    1728548428495943,
-                    3392664713925397,
-                    2815445147288308,
-                ]),
-                y_minus_x: FieldElement51([
-                    141358280486863,
-                    91435889572504,
-                    1087208572552643,
-                    1829599652522921,
-                    1193307020643647,
-                ]),
-                xy2d: FieldElement51([
-                    1611230858525381,
-                    950720175540785,
-                    499589887488610,
-                    2001656988495019,
-                    88977313255908,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3440880315164906,
-                    2184348804772596,
-                    3292618539427567,
-                    2018318290311833,
-                    1712060030915354,
-                ]),
-                y_minus_x: FieldElement51([
-                    873966876953756,
-                    1090638350350440,
-                    1708559325189137,
-                    672344594801910,
-                    1320437969700239,
-                ]),
-                xy2d: FieldElement51([
-                    1508590048271766,
-                    1131769479776094,
-                    101550868699323,
-                    428297785557897,
-                    561791648661744,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3008217384184691,
-                    2489682092917849,
-                    2136263418594015,
-                    1701968045454886,
-                    2955512998822720,
-                ]),
-                y_minus_x: FieldElement51([
-                    1781187809325462,
-                    1697624151492346,
-                    1381393690939988,
-                    175194132284669,
-                    1483054666415238,
-                ]),
-                xy2d: FieldElement51([
-                    2175517777364616,
-                    708781536456029,
-                    955668231122942,
-                    1967557500069555,
-                    2021208005604118,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3366935780292116,
-                    2476017186636029,
-                    915967306279221,
-                    593866251291540,
-                    2813546907893254,
-                ]),
-                y_minus_x: FieldElement51([
-                    1443163092879439,
-                    391875531646162,
-                    2180847134654632,
-                    464538543018753,
-                    1594098196837178,
-                ]),
-                xy2d: FieldElement51([
-                    850858855888869,
-                    319436476624586,
-                    327807784938441,
-                    740785849558761,
-                    17128415486016,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2132756334090048,
-                    2788047633840893,
-                    2300706964962114,
-                    2860273011285942,
-                    3513489358708031,
-                ]),
-                y_minus_x: FieldElement51([
-                    1525176236978354,
-                    974205476721062,
-                    293436255662638,
-                    148269621098039,
-                    137961998433963,
-                ]),
-                xy2d: FieldElement51([
-                    1121075518299410,
-                    2071745529082111,
-                    1265567917414828,
-                    1648196578317805,
-                    496232102750820,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2374121042985030,
-                    3274721891178932,
-                    2001275453369483,
-                    2017441881607947,
-                    3245005694463250,
-                ]),
-                y_minus_x: FieldElement51([
-                    654925550560074,
-                    1168810995576858,
-                    575655959430926,
-                    905758704861388,
-                    496774564663534,
-                ]),
-                xy2d: FieldElement51([
-                    1954109525779738,
-                    2117022646152485,
-                    338102630417180,
-                    1194140505732026,
-                    107881734943492,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1714785840001267,
-                    4288299832366837,
-                    1876380234251965,
-                    2056717182974196,
-                    1645855254384642,
-                ]),
-                y_minus_x: FieldElement51([
-                    106431476499341,
-                    62482972120563,
-                    1513446655109411,
-                    807258751769522,
-                    538491469114,
-                ]),
-                xy2d: FieldElement51([
-                    2002850762893643,
-                    1243624520538135,
-                    1486040410574605,
-                    2184752338181213,
-                    378495998083531,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    922510868424903,
-                    1089502620807680,
-                    402544072617374,
-                    1131446598479839,
-                    1290278588136533,
-                ]),
-                y_minus_x: FieldElement51([
-                    1867998812076769,
-                    715425053580701,
-                    39968586461416,
-                    2173068014586163,
-                    653822651801304,
-                ]),
-                xy2d: FieldElement51([
-                    162892278589453,
-                    182585796682149,
-                    75093073137630,
-                    497037941226502,
-                    133871727117371,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    4166396390264918,
-                    1608999621851577,
-                    1987629837704609,
-                    1519655314857977,
-                    1819193753409464,
-                ]),
-                y_minus_x: FieldElement51([
-                    1949315551096831,
-                    1069003344994464,
-                    1939165033499916,
-                    1548227205730856,
-                    1933767655861407,
-                ]),
-                xy2d: FieldElement51([
-                    1730519386931635,
-                    1393284965610134,
-                    1597143735726030,
-                    416032382447158,
-                    1429665248828629,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    360275475604546,
-                    2799635544748326,
-                    2467160717872776,
-                    2848446553564254,
-                    2584509464110332,
-                ]),
-                y_minus_x: FieldElement51([
-                    47602113726801,
-                    1522314509708010,
-                    437706261372925,
-                    814035330438027,
-                    335930650933545,
-                ]),
-                xy2d: FieldElement51([
-                    1291597595523886,
-                    1058020588994081,
-                    402837842324045,
-                    1363323695882781,
-                    2105763393033193,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2361321796251793,
-                    3967057562270386,
-                    1112231216891515,
-                    2046641005101484,
-                    2386048970842261,
-                ]),
-                y_minus_x: FieldElement51([
-                    2156991030936798,
-                    2227544497153325,
-                    1869050094431622,
-                    754875860479115,
-                    1754242344267058,
-                ]),
-                xy2d: FieldElement51([
-                    1846089562873800,
-                    98894784984326,
-                    1412430299204844,
-                    171351226625762,
-                    1100604760929008,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2335972195815721,
-                    2751510784385293,
-                    425749630620777,
-                    1762872794206857,
-                    2864642415813208,
-                ]),
-                y_minus_x: FieldElement51([
-                    868309334532756,
-                    1703010512741873,
-                    1952690008738057,
-                    4325269926064,
-                    2071083554962116,
-                ]),
-                xy2d: FieldElement51([
-                    523094549451158,
-                    401938899487815,
-                    1407690589076010,
-                    2022387426254453,
-                    158660516411257,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    612867287630009,
-                    2700012425789062,
-                    2823428891104443,
-                    1466796750919375,
-                    1728478129663858,
-                ]),
-                y_minus_x: FieldElement51([
-                    1723848973783452,
-                    2208822520534681,
-                    1718748322776940,
-                    1974268454121942,
-                    1194212502258141,
-                ]),
-                xy2d: FieldElement51([
-                    1254114807944608,
-                    977770684047110,
-                    2010756238954993,
-                    1783628927194099,
-                    1525962994408256,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2484263871921055,
-                    1948628555342433,
-                    1835348780427694,
-                    1031609499437291,
-                    2316271920603621,
-                ]),
-                y_minus_x: FieldElement51([
-                    767338676040683,
-                    754089548318405,
-                    1523192045639075,
-                    435746025122062,
-                    512692508440385,
-                ]),
-                xy2d: FieldElement51([
-                    1255955808701983,
-                    1700487367990941,
-                    1166401238800299,
-                    1175121994891534,
-                    1190934801395380,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2600943821853521,
-                    1337012557669161,
-                    1475912332999108,
-                    3573418268585706,
-                    2299411105589567,
-                ]),
-                y_minus_x: FieldElement51([
-                    877519947135419,
-                    2172838026132651,
-                    272304391224129,
-                    1655143327559984,
-                    886229406429814,
-                ]),
-                xy2d: FieldElement51([
-                    375806028254706,
-                    214463229793940,
-                    572906353144089,
-                    572168269875638,
-                    697556386112979,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1168827102357825,
-                    823864273033637,
-                    4323338565789945,
-                    788062026895923,
-                    2851378154428610,
-                ]),
-                y_minus_x: FieldElement51([
-                    1948116082078088,
-                    2054898304487796,
-                    2204939184983900,
-                    210526805152138,
-                    786593586607626,
-                ]),
-                xy2d: FieldElement51([
-                    1915320147894736,
-                    156481169009469,
-                    655050471180417,
-                    592917090415421,
-                    2165897438660879,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1726336468579724,
-                    1119932070398949,
-                    1929199510967666,
-                    2285718602008207,
-                    1836837863503149,
-                ]),
-                y_minus_x: FieldElement51([
-                    829996854845988,
-                    217061778005138,
-                    1686565909803640,
-                    1346948817219846,
-                    1723823550730181,
-                ]),
-                xy2d: FieldElement51([
-                    384301494966394,
-                    687038900403062,
-                    2211195391021739,
-                    254684538421383,
-                    1245698430589680,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1247567493562669,
-                    4229981908141095,
-                    2435671288478202,
-                    806570235643434,
-                    2540261331753164,
-                ]),
-                y_minus_x: FieldElement51([
-                    1449077384734201,
-                    38285445457996,
-                    2136537659177832,
-                    2146493000841573,
-                    725161151123125,
-                ]),
-                xy2d: FieldElement51([
-                    1201928866368855,
-                    800415690605445,
-                    1703146756828343,
-                    997278587541744,
-                    1858284414104014,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2608268623334125,
-                    3034173730618399,
-                    1718002439402869,
-                    3644022065904502,
-                    663171266061950,
-                ]),
-                y_minus_x: FieldElement51([
-                    759628738230460,
-                    1012693474275852,
-                    353780233086498,
-                    246080061387552,
-                    2030378857679162,
-                ]),
-                xy2d: FieldElement51([
-                    2040672435071076,
-                    888593182036908,
-                    1298443657189359,
-                    1804780278521327,
-                    354070726137060,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1894938527423184,
-                    3715012855162525,
-                    2726210319182898,
-                    2499094776718546,
-                    877975941029127,
-                ]),
-                y_minus_x: FieldElement51([
-                    207937160991127,
-                    12966911039119,
-                    820997788283092,
-                    1010440472205286,
-                    1701372890140810,
-                ]),
-                xy2d: FieldElement51([
-                    218882774543183,
-                    533427444716285,
-                    1233243976733245,
-                    435054256891319,
-                    1509568989549904,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    4140638349397055,
-                    3303977572025869,
-                    3465353617009382,
-                    2420981822812579,
-                    2715174081801119,
-                ]),
-                y_minus_x: FieldElement51([
-                    299137589460312,
-                    1594371588983567,
-                    868058494039073,
-                    257771590636681,
-                    1805012993142921,
-                ]),
-                xy2d: FieldElement51([
-                    1806842755664364,
-                    2098896946025095,
-                    1356630998422878,
-                    1458279806348064,
-                    347755825962072,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1402334161391744,
-                    3811883484731547,
-                    1008585416617746,
-                    1147797150908892,
-                    1420416683642459,
-                ]),
-                y_minus_x: FieldElement51([
-                    665506704253369,
-                    273770475169863,
-                    799236974202630,
-                    848328990077558,
-                    1811448782807931,
-                ]),
-                xy2d: FieldElement51([
-                    1468412523962641,
-                    771866649897997,
-                    1931766110147832,
-                    799561180078482,
-                    524837559150077,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2223212657821831,
-                    2882216061048914,
-                    2144451165500327,
-                    3068710944633039,
-                    3276150872095279,
-                ]),
-                y_minus_x: FieldElement51([
-                    1266603897524861,
-                    156378408858100,
-                    1275649024228779,
-                    447738405888420,
-                    253186462063095,
-                ]),
-                xy2d: FieldElement51([
-                    2022215964509735,
-                    136144366993649,
-                    1800716593296582,
-                    1193970603800203,
-                    871675847064218,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1862751661970309,
-                    851596246739884,
-                    1519315554814041,
-                    3794598280232697,
-                    3669775149586767,
-                ]),
-                y_minus_x: FieldElement51([
-                    1228168094547481,
-                    334133883362894,
-                    587567568420081,
-                    433612590281181,
-                    603390400373205,
-                ]),
-                xy2d: FieldElement51([
-                    121893973206505,
-                    1843345804916664,
-                    1703118377384911,
-                    497810164760654,
-                    101150811654673,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2710146069631716,
-                    2542709749304591,
-                    1452768413850678,
-                    2802722688939463,
-                    1537286854336537,
-                ]),
-                y_minus_x: FieldElement51([
-                    584322311184395,
-                    380661238802118,
-                    114839394528060,
-                    655082270500073,
-                    2111856026034852,
-                ]),
-                xy2d: FieldElement51([
-                    996965581008991,
-                    2148998626477022,
-                    1012273164934654,
-                    1073876063914522,
-                    1688031788934939,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3175286832534829,
-                    2085106799623354,
-                    2779882615305384,
-                    1606206360876187,
-                    2987706905397772,
-                ]),
-                y_minus_x: FieldElement51([
-                    1697697887804317,
-                    1335343703828273,
-                    831288615207040,
-                    949416685250051,
-                    288760277392022,
-                ]),
-                xy2d: FieldElement51([
-                    1419122478109648,
-                    1325574567803701,
-                    602393874111094,
-                    2107893372601700,
-                    1314159682671307,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2201150872731785,
-                    2180241023425241,
-                    2349463270108411,
-                    1633405770247823,
-                    3100744856129234,
-                ]),
-                y_minus_x: FieldElement51([
-                    1173339555550611,
-                    818605084277583,
-                    47521504364289,
-                    924108720564965,
-                    735423405754506,
-                ]),
-                xy2d: FieldElement51([
-                    830104860549448,
-                    1886653193241086,
-                    1600929509383773,
-                    1475051275443631,
-                    286679780900937,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3828911108518224,
-                    3282698983453994,
-                    2396700729978777,
-                    4216472406664814,
-                    2820189914640497,
-                ]),
-                y_minus_x: FieldElement51([
-                    278388655910247,
-                    487143369099838,
-                    927762205508727,
-                    181017540174210,
-                    1616886700741287,
-                ]),
-                xy2d: FieldElement51([
-                    1191033906638969,
-                    940823957346562,
-                    1606870843663445,
-                    861684761499847,
-                    658674867251089,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1875032594195527,
-                    1427106132796197,
-                    2976536204647406,
-                    3153660325729987,
-                    2887068310954007,
-                ]),
-                y_minus_x: FieldElement51([
-                    622869792298357,
-                    1903919278950367,
-                    1922588621661629,
-                    1520574711600434,
-                    1087100760174640,
-                ]),
-                xy2d: FieldElement51([
-                    25465949416618,
-                    1693639527318811,
-                    1526153382657203,
-                    125943137857169,
-                    145276964043999,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2466539671654587,
-                    920212862967914,
-                    4191701364657517,
-                    3463662605460468,
-                    2336897329405367,
-                ]),
-                y_minus_x: FieldElement51([
-                    2006245852772938,
-                    734762734836159,
-                    254642929763427,
-                    1406213292755966,
-                    239303749517686,
-                ]),
-                xy2d: FieldElement51([
-                    1619678837192149,
-                    1919424032779215,
-                    1357391272956794,
-                    1525634040073113,
-                    1310226789796241,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3292563523447371,
-                    1704449869235351,
-                    2857062884141577,
-                    1998838089036354,
-                    1312142911487502,
-                ]),
-                y_minus_x: FieldElement51([
-                    1996723311435669,
-                    1844342766567060,
-                    985455700466044,
-                    1165924681400960,
-                    311508689870129,
-                ]),
-                xy2d: FieldElement51([
-                    43173156290518,
-                    2202883069785309,
-                    1137787467085917,
-                    1733636061944606,
-                    1394992037553852,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    670078326344559,
-                    2807454838744604,
-                    2723759199967685,
-                    2141455487356408,
-                    849015953823125,
-                ]),
-                y_minus_x: FieldElement51([
-                    2197214573372804,
-                    794254097241315,
-                    1030190060513737,
-                    267632515541902,
-                    2040478049202624,
-                ]),
-                xy2d: FieldElement51([
-                    1812516004670529,
-                    1609256702920783,
-                    1706897079364493,
-                    258549904773295,
-                    996051247540686,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1540374301420565,
-                    1764656898914615,
-                    1810104162020396,
-                    3175608592848336,
-                    2916189887881826,
-                ]),
-                y_minus_x: FieldElement51([
-                    1323460699404750,
-                    1262690757880991,
-                    871777133477900,
-                    1060078894988977,
-                    1712236889662886,
-                ]),
-                xy2d: FieldElement51([
-                    1696163952057966,
-                    1391710137550823,
-                    608793846867416,
-                    1034391509472039,
-                    1780770894075012,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1367603834210822,
-                    4383788460268472,
-                    890353773628143,
-                    1908908219165595,
-                    2522636708938139,
-                ]),
-                y_minus_x: FieldElement51([
-                    597536315471731,
-                    40375058742586,
-                    1942256403956049,
-                    1185484645495932,
-                    312666282024145,
-                ]),
-                xy2d: FieldElement51([
-                    1919411405316294,
-                    1234508526402192,
-                    1066863051997083,
-                    1008444703737597,
-                    1348810787701552,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2102881477513865,
-                    3822074379630609,
-                    1573617900503707,
-                    2270462449417831,
-                    2232324307922097,
-                ]),
-                y_minus_x: FieldElement51([
-                    1853931367696942,
-                    8107973870707,
-                    350214504129299,
-                    775206934582587,
-                    1752317649166792,
-                ]),
-                xy2d: FieldElement51([
-                    1417148368003523,
-                    721357181628282,
-                    505725498207811,
-                    373232277872983,
-                    261634707184480,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2186733281493248,
-                    2250694917008620,
-                    1014829812957440,
-                    2731797975137637,
-                    2335366007561721,
-                ]),
-                y_minus_x: FieldElement51([
-                    1268116367301224,
-                    560157088142809,
-                    802626839600444,
-                    2210189936605713,
-                    1129993785579988,
-                ]),
-                xy2d: FieldElement51([
-                    615183387352312,
-                    917611676109240,
-                    878893615973325,
-                    978940963313282,
-                    938686890583575,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    522024729211672,
-                    3296859129001056,
-                    1892245413707789,
-                    1907891107684253,
-                    2059998109500714,
-                ]),
-                y_minus_x: FieldElement51([
-                    1799679152208884,
-                    912132775900387,
-                    25967768040979,
-                    432130448590461,
-                    274568990261996,
-                ]),
-                xy2d: FieldElement51([
-                    98698809797682,
-                    2144627600856209,
-                    1907959298569602,
-                    811491302610148,
-                    1262481774981493,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1791451399743152,
-                    1713538728337276,
-                    2370149810942738,
-                    1882306388849953,
-                    158235232210248,
-                ]),
-                y_minus_x: FieldElement51([
-                    1217809823321928,
-                    2173947284933160,
-                    1986927836272325,
-                    1388114931125539,
-                    12686131160169,
-                ]),
-                xy2d: FieldElement51([
-                    1650875518872272,
-                    1136263858253897,
-                    1732115601395988,
-                    734312880662190,
-                    1252904681142109,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2624786269799113,
-                    2777230729143418,
-                    2116279931702134,
-                    2753222527273063,
-                    1907002872974924,
-                ]),
-                y_minus_x: FieldElement51([
-                    803147181835288,
-                    868941437997146,
-                    316299302989663,
-                    943495589630550,
-                    571224287904572,
-                ]),
-                xy2d: FieldElement51([
-                    227742695588364,
-                    1776969298667369,
-                    628602552821802,
-                    457210915378118,
-                    2041906378111140,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    815000523470260,
-                    3164885502413555,
-                    3303859931956420,
-                    1345536665214222,
-                    541623413135555,
-                ]),
-                y_minus_x: FieldElement51([
-                    1580216071604333,
-                    1877997504342444,
-                    857147161260913,
-                    703522726778478,
-                    2182763974211603,
-                ]),
-                xy2d: FieldElement51([
-                    1870080310923419,
-                    71988220958492,
-                    1783225432016732,
-                    615915287105016,
-                    1035570475990230,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2982787564515398,
-                    857613889540279,
-                    1083813157271766,
-                    1002817255970169,
-                    1719228484436074,
-                ]),
-                y_minus_x: FieldElement51([
-                    377616581647602,
-                    1581980403078513,
-                    804044118130621,
-                    2034382823044191,
-                    643844048472185,
-                ]),
-                xy2d: FieldElement51([
-                    176957326463017,
-                    1573744060478586,
-                    528642225008045,
-                    1816109618372371,
-                    1515140189765006,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1888911448245718,
-                    3638910709296328,
-                    4176303607751676,
-                    1731539523700948,
-                    2230378382645454,
-                ]),
-                y_minus_x: FieldElement51([
-                    443392177002051,
-                    233793396845137,
-                    2199506622312416,
-                    1011858706515937,
-                    974676837063129,
-                ]),
-                xy2d: FieldElement51([
-                    1846351103143623,
-                    1949984838808427,
-                    671247021915253,
-                    1946756846184401,
-                    1929296930380217,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    849646212451983,
-                    1410198775302919,
-                    2325567699868943,
-                    1641663456615811,
-                    3014056086137659,
-                ]),
-                y_minus_x: FieldElement51([
-                    692017667358279,
-                    723305578826727,
-                    1638042139863265,
-                    748219305990306,
-                    334589200523901,
-                ]),
-                xy2d: FieldElement51([
-                    22893968530686,
-                    2235758574399251,
-                    1661465835630252,
-                    925707319443452,
-                    1203475116966621,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3053098849470395,
-                    3985092410411378,
-                    1664508947088595,
-                    2719548934677170,
-                    3899298398220870,
-                ]),
-                y_minus_x: FieldElement51([
-                    903105258014366,
-                    427141894933047,
-                    561187017169777,
-                    1884330244401954,
-                    1914145708422219,
-                ]),
-                xy2d: FieldElement51([
-                    1344191060517578,
-                    1960935031767890,
-                    1518838929955259,
-                    1781502350597190,
-                    1564784025565682,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2925523165433334,
-                    1979969272514922,
-                    3427087126180756,
-                    1187589090978665,
-                    1881897672213940,
-                ]),
-                y_minus_x: FieldElement51([
-                    1917185587363432,
-                    1098342571752737,
-                    5935801044414,
-                    2000527662351839,
-                    1538640296181569,
-                ]),
-                xy2d: FieldElement51([
-                    2495540013192,
-                    678856913479236,
-                    224998292422872,
-                    219635787698590,
-                    1972465269000940,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    271413961212179,
-                    3604851875156899,
-                    2596511104968730,
-                    2014925838520661,
-                    2006221033113941,
-                ]),
-                y_minus_x: FieldElement51([
-                    194583029968109,
-                    514316781467765,
-                    829677956235672,
-                    1676415686873082,
-                    810104584395840,
-                ]),
-                xy2d: FieldElement51([
-                    1980510813313589,
-                    1948645276483975,
-                    152063780665900,
-                    129968026417582,
-                    256984195613935,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1860190562533083,
-                    1936576191345085,
-                    2712900106391212,
-                    1811043097042829,
-                    3209286562992083,
-                ]),
-                y_minus_x: FieldElement51([
-                    796664815624365,
-                    1543160838872951,
-                    1500897791837765,
-                    1667315977988401,
-                    599303877030711,
-                ]),
-                xy2d: FieldElement51([
-                    1151480509533204,
-                    2136010406720455,
-                    738796060240027,
-                    319298003765044,
-                    1150614464349587,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1731069268103131,
-                    2987442261301335,
-                    1364750481334267,
-                    2669032653668119,
-                    3178908082812908,
-                ]),
-                y_minus_x: FieldElement51([
-                    1017222050227968,
-                    1987716148359,
-                    2234319589635701,
-                    621282683093392,
-                    2132553131763026,
-                ]),
-                xy2d: FieldElement51([
-                    1567828528453324,
-                    1017807205202360,
-                    565295260895298,
-                    829541698429100,
-                    307243822276582,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    249079270936229,
-                    1501514259790706,
-                    3199709537890096,
-                    944551802437486,
-                    2804458577667728,
-                ]),
-                y_minus_x: FieldElement51([
-                    2089966982947227,
-                    1854140343916181,
-                    2151980759220007,
-                    2139781292261749,
-                    158070445864917,
-                ]),
-                xy2d: FieldElement51([
-                    1338766321464554,
-                    1906702607371284,
-                    1519569445519894,
-                    115384726262267,
-                    1393058953390992,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3616421371950629,
-                    3764188048593604,
-                    1926731583198685,
-                    2041482526432505,
-                    3172200936019022,
-                ]),
-                y_minus_x: FieldElement51([
-                    1884844597333588,
-                    601480070269079,
-                    620203503079537,
-                    1079527400117915,
-                    1202076693132015,
-                ]),
-                xy2d: FieldElement51([
-                    840922919763324,
-                    727955812569642,
-                    1303406629750194,
-                    522898432152867,
-                    294161410441865,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2605560604520539,
-                    1598361541848742,
-                    3374705511887547,
-                    4174333403844152,
-                    2670907514351827,
-                ]),
-                y_minus_x: FieldElement51([
-                    359856369838236,
-                    180914355488683,
-                    861726472646627,
-                    218807937262986,
-                    575626773232501,
-                ]),
-                xy2d: FieldElement51([
-                    755467689082474,
-                    909202735047934,
-                    730078068932500,
-                    936309075711518,
-                    2007798262842972,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1609384177904054,
-                    2614544999293875,
-                    1335318541768200,
-                    3052765584121496,
-                    2799677792952659,
-                ]),
-                y_minus_x: FieldElement51([
-                    984339177776787,
-                    815727786505884,
-                    1645154585713747,
-                    1659074964378553,
-                    1686601651984156,
-                ]),
-                xy2d: FieldElement51([
-                    1697863093781930,
-                    599794399429786,
-                    1104556219769607,
-                    830560774794755,
-                    12812858601017,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1168737550514982,
-                    897832437380552,
-                    463140296333799,
-                    2554364413707795,
-                    2008360505135500,
-                ]),
-                y_minus_x: FieldElement51([
-                    1856930662813910,
-                    678090852002597,
-                    1920179140755167,
-                    1259527833759868,
-                    55540971895511,
-                ]),
-                xy2d: FieldElement51([
-                    1158643631044921,
-                    476554103621892,
-                    178447851439725,
-                    1305025542653569,
-                    103433927680625,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2176793111709008,
-                    3828525530035639,
-                    2009350167273522,
-                    2012390194631546,
-                    2125297410909580,
-                ]),
-                y_minus_x: FieldElement51([
-                    825403285195098,
-                    2144208587560784,
-                    1925552004644643,
-                    1915177840006985,
-                    1015952128947864,
-                ]),
-                xy2d: FieldElement51([
-                    1807108316634472,
-                    1534392066433717,
-                    347342975407218,
-                    1153820745616376,
-                    7375003497471,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3234860815484973,
-                    2683011703586488,
-                    2201903782961092,
-                    3069193724749589,
-                    2214616493042166,
-                ]),
-                y_minus_x: FieldElement51([
-                    228567918409756,
-                    865093958780220,
-                    358083886450556,
-                    159617889659320,
-                    1360637926292598,
-                ]),
-                xy2d: FieldElement51([
-                    234147501399755,
-                    2229469128637390,
-                    2175289352258889,
-                    1397401514549353,
-                    1885288963089922,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3363562226636810,
-                    2504649386192636,
-                    3300514047508588,
-                    2397910909286693,
-                    1237505378776769,
-                ]),
-                y_minus_x: FieldElement51([
-                    1113790697840279,
-                    1051167139966244,
-                    1045930658550944,
-                    2011366241542643,
-                    1686166824620755,
-                ]),
-                xy2d: FieldElement51([
-                    1054097349305049,
-                    1872495070333352,
-                    182121071220717,
-                    1064378906787311,
-                    100273572924182,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3558210666856834,
-                    1627717417672446,
-                    2302783034773665,
-                    1109249951172249,
-                    3122001602766640,
-                ]),
-                y_minus_x: FieldElement51([
-                    104233794644221,
-                    1548919791188248,
-                    2224541913267306,
-                    2054909377116478,
-                    1043803389015153,
-                ]),
-                xy2d: FieldElement51([
-                    216762189468802,
-                    707284285441622,
-                    190678557969733,
-                    973969342604308,
-                    1403009538434867,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3530824104723725,
-                    2596576648903557,
-                    2525521909702446,
-                    4086000250496689,
-                    634517197663803,
-                ]),
-                y_minus_x: FieldElement51([
-                    343805853118335,
-                    1302216857414201,
-                    566872543223541,
-                    2051138939539004,
-                    321428858384280,
-                ]),
-                xy2d: FieldElement51([
-                    470067171324852,
-                    1618629234173951,
-                    2000092177515639,
-                    7307679772789,
-                    1117521120249968,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2529951391976704,
-                    1810282338562946,
-                    1771599529530998,
-                    3635459223356879,
-                    2937173228157088,
-                ]),
-                y_minus_x: FieldElement51([
-                    577009397403102,
-                    1791440261786291,
-                    2177643735971638,
-                    174546149911960,
-                    1412505077782326,
-                ]),
-                xy2d: FieldElement51([
-                    893719721537457,
-                    1201282458018197,
-                    1522349501711173,
-                    58011597740583,
-                    1130406465887139,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    412607348255434,
-                    1280455764199780,
-                    2233277987330768,
-                    2265979894086913,
-                    2583384512102412,
-                ]),
-                y_minus_x: FieldElement51([
-                    262483770854550,
-                    990511055108216,
-                    526885552771698,
-                    571664396646158,
-                    354086190278723,
-                ]),
-                xy2d: FieldElement51([
-                    1820352417585487,
-                    24495617171480,
-                    1547899057533253,
-                    10041836186225,
-                    480457105094042,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2023310314989233,
-                    2889705151211129,
-                    2106474638900686,
-                    2809620524769320,
-                    1687858215057825,
-                ]),
-                y_minus_x: FieldElement51([
-                    1144168702609745,
-                    604444390410187,
-                    1544541121756138,
-                    1925315550126027,
-                    626401428894002,
-                ]),
-                xy2d: FieldElement51([
-                    1922168257351784,
-                    2018674099908659,
-                    1776454117494445,
-                    956539191509034,
-                    36031129147635,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2796444352433270,
-                    1039872944430373,
-                    3128550222815858,
-                    2962457525011798,
-                    3468752501170219,
-                ]),
-                y_minus_x: FieldElement51([
-                    58242421545916,
-                    2035812695641843,
-                    2118491866122923,
-                    1191684463816273,
-                    46921517454099,
-                ]),
-                xy2d: FieldElement51([
-                    272268252444639,
-                    1374166457774292,
-                    2230115177009552,
-                    1053149803909880,
-                    1354288411641016,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1857910905368338,
-                    1754729879288912,
-                    3137745277795125,
-                    1516096106802165,
-                    1602902393369811,
-                ]),
-                y_minus_x: FieldElement51([
-                    1193437069800958,
-                    901107149704790,
-                    999672920611411,
-                    477584824802207,
-                    364239578697845,
-                ]),
-                xy2d: FieldElement51([
-                    886299989548838,
-                    1538292895758047,
-                    1590564179491896,
-                    1944527126709657,
-                    837344427345298,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3006358179063534,
-                    1712186480903617,
-                    3955456640022779,
-                    3002110732175033,
-                    2770795853936147,
-                ]),
-                y_minus_x: FieldElement51([
-                    1309847803895382,
-                    1462151862813074,
-                    211370866671570,
-                    1544595152703681,
-                    1027691798954090,
-                ]),
-                xy2d: FieldElement51([
-                    803217563745370,
-                    1884799722343599,
-                    1357706345069218,
-                    2244955901722095,
-                    730869460037413,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2941099284981214,
-                    1831210565161070,
-                    3626987155270686,
-                    3358084791231418,
-                    1893781834054268,
-                ]),
-                y_minus_x: FieldElement51([
-                    696351368613042,
-                    1494385251239250,
-                    738037133616932,
-                    636385507851544,
-                    927483222611406,
-                ]),
-                xy2d: FieldElement51([
-                    1949114198209333,
-                    1104419699537997,
-                    783495707664463,
-                    1747473107602770,
-                    2002634765788641,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1607325776830197,
-                    2782683755100581,
-                    1451089452727894,
-                    3833490970768671,
-                    496100432831153,
-                ]),
-                y_minus_x: FieldElement51([
-                    1068900648804224,
-                    2006891997072550,
-                    1134049269345549,
-                    1638760646180091,
-                    2055396084625778,
-                ]),
-                xy2d: FieldElement51([
-                    2222475519314561,
-                    1870703901472013,
-                    1884051508440561,
-                    1344072275216753,
-                    1318025677799069,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    155711679280637,
-                    681100400509288,
-                    389811735211209,
-                    2135723811340709,
-                    2660533024889373,
-                ]),
-                y_minus_x: FieldElement51([
-                    7813206966729,
-                    194444201427550,
-                    2071405409526507,
-                    1065605076176312,
-                    1645486789731291,
-                ]),
-                xy2d: FieldElement51([
-                    16625790644959,
-                    1647648827778410,
-                    1579910185572704,
-                    436452271048548,
-                    121070048451050,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3289062842237779,
-                    2820185594063076,
-                    2549752917829677,
-                    3810384325616458,
-                    2238221839292470,
-                ]),
-                y_minus_x: FieldElement51([
-                    190565267697443,
-                    672855706028058,
-                    338796554369226,
-                    337687268493904,
-                    853246848691734,
-                ]),
-                xy2d: FieldElement51([
-                    1763863028400139,
-                    766498079432444,
-                    1321118624818005,
-                    69494294452268,
-                    858786744165651,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3543856582248253,
-                    1456632109855637,
-                    3352431060735432,
-                    1386133165675320,
-                    3484698163879000,
-                ]),
-                y_minus_x: FieldElement51([
-                    366253102478259,
-                    525676242508811,
-                    1449610995265438,
-                    1183300845322183,
-                    185960306491545,
-                ]),
-                xy2d: FieldElement51([
-                    28315355815982,
-                    460422265558930,
-                    1799675876678724,
-                    1969256312504498,
-                    1051823843138725,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2408714813047231,
-                    3857948219405196,
-                    1665208410108429,
-                    2569443092377519,
-                    1383783705665319,
-                ]),
-                y_minus_x: FieldElement51([
-                    54684536365732,
-                    2210010038536222,
-                    1194984798155308,
-                    535239027773705,
-                    1516355079301361,
-                ]),
-                xy2d: FieldElement51([
-                    1484387703771650,
-                    198537510937949,
-                    2186282186359116,
-                    617687444857508,
-                    647477376402122,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2147715541830533,
-                    2751832352131065,
-                    2898179830570073,
-                    2604027669016369,
-                    1488268620408051,
-                ]),
-                y_minus_x: FieldElement51([
-                    159386186465542,
-                    1877626593362941,
-                    618737197060512,
-                    1026674284330807,
-                    1158121760792685,
-                ]),
-                xy2d: FieldElement51([
-                    1744544377739822,
-                    1964054180355661,
-                    1685781755873170,
-                    2169740670377448,
-                    1286112621104591,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2333777063470241,
-                    3919742931398333,
-                    3920783633320113,
-                    1605016835177614,
-                    1353960708075544,
-                ]),
-                y_minus_x: FieldElement51([
-                    1602253788689063,
-                    439542044889886,
-                    2220348297664483,
-                    657877410752869,
-                    157451572512238,
-                ]),
-                xy2d: FieldElement51([
-                    1029287186166717,
-                    65860128430192,
-                    525298368814832,
-                    1491902500801986,
-                    1461064796385400,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2660016802414475,
-                    2121095722306988,
-                    913562102267595,
-                    1879708920318308,
-                    2492861262121979,
-                ]),
-                y_minus_x: FieldElement51([
-                    1185483484383269,
-                    1356339572588553,
-                    584932367316448,
-                    102132779946470,
-                    1792922621116791,
-                ]),
-                xy2d: FieldElement51([
-                    1966196870701923,
-                    2230044620318636,
-                    1425982460745905,
-                    261167817826569,
-                    46517743394330,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2358877405280588,
-                    3136759755857592,
-                    2279106683482647,
-                    2224911448949389,
-                    3216151871930471,
-                ]),
-                y_minus_x: FieldElement51([
-                    1730194207717538,
-                    431790042319772,
-                    1831515233279467,
-                    1372080552768581,
-                    1074513929381760,
-                ]),
-                xy2d: FieldElement51([
-                    1450880638731607,
-                    1019861580989005,
-                    1229729455116861,
-                    1174945729836143,
-                    826083146840706,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1899935429242705,
-                    1602068751520477,
-                    940583196550370,
-                    2334230882739107,
-                    1540863155745695,
-                ]),
-                y_minus_x: FieldElement51([
-                    2136688454840028,
-                    2099509000964294,
-                    1690800495246475,
-                    1217643678575476,
-                    828720645084218,
-                ]),
-                xy2d: FieldElement51([
-                    765548025667841,
-                    462473984016099,
-                    998061409979798,
-                    546353034089527,
-                    2212508972466858,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2298375097456408,
-                    3144370785258318,
-                    1281983193144089,
-                    1491520128287375,
-                    75847005908304,
-                ]),
-                y_minus_x: FieldElement51([
-                    1801436127943107,
-                    1734436817907890,
-                    1268728090345068,
-                    167003097070711,
-                    2233597765834956,
-                ]),
-                xy2d: FieldElement51([
-                    1997562060465113,
-                    1048700225534011,
-                    7615603985628,
-                    1855310849546841,
-                    2242557647635213,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1161017320376250,
-                    2744424393854291,
-                    2169815802355236,
-                    3228296595417790,
-                    1770879511019628,
-                ]),
-                y_minus_x: FieldElement51([
-                    1357044908364776,
-                    729130645262438,
-                    1762469072918979,
-                    1365633616878458,
-                    181282906404941,
-                ]),
-                xy2d: FieldElement51([
-                    1080413443139865,
-                    1155205815510486,
-                    1848782073549786,
-                    622566975152580,
-                    124965574467971,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1184526762066993,
-                    247622751762817,
-                    2943928830891604,
-                    3071818503097743,
-                    2188697339828084,
-                ]),
-                y_minus_x: FieldElement51([
-                    2020536369003019,
-                    202261491735136,
-                    1053169669150884,
-                    2056531979272544,
-                    778165514694311,
-                ]),
-                xy2d: FieldElement51([
-                    237404399610207,
-                    1308324858405118,
-                    1229680749538400,
-                    720131409105291,
-                    1958958863624906,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2767383321724075,
-                    2269456792542436,
-                    1717918437373988,
-                    1568052070792483,
-                    2298775616809171,
-                ]),
-                y_minus_x: FieldElement51([
-                    281527309158085,
-                    36970532401524,
-                    866906920877543,
-                    2222282602952734,
-                    1289598729589882,
-                ]),
-                xy2d: FieldElement51([
-                    1278207464902042,
-                    494742455008756,
-                    1262082121427081,
-                    1577236621659884,
-                    1888786707293291,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    353042527954210,
-                    1830056151907359,
-                    1111731275799225,
-                    2426760769524072,
-                    404312815582674,
-                ]),
-                y_minus_x: FieldElement51([
-                    2064251142068628,
-                    1666421603389706,
-                    1419271365315441,
-                    468767774902855,
-                    191535130366583,
-                ]),
-                xy2d: FieldElement51([
-                    1716987058588002,
-                    1859366439773457,
-                    1767194234188234,
-                    64476199777924,
-                    1117233614485261,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3236091949205521,
-                    2386938060636506,
-                    2220652137473166,
-                    1722843421165029,
-                    2442282371698157,
-                ]),
-                y_minus_x: FieldElement51([
-                    298845952651262,
-                    1166086588952562,
-                    1179896526238434,
-                    1347812759398693,
-                    1412945390096208,
-                ]),
-                xy2d: FieldElement51([
-                    1143239552672925,
-                    906436640714209,
-                    2177000572812152,
-                    2075299936108548,
-                    325186347798433,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2972824668060020,
-                    2936287674948563,
-                    3625238557779406,
-                    2193186935276994,
-                    1387043709851261,
-                ]),
-                y_minus_x: FieldElement51([
-                    418098668140962,
-                    715065997721283,
-                    1471916138376055,
-                    2168570337288357,
-                    937812682637044,
-                ]),
-                xy2d: FieldElement51([
-                    1043584187226485,
-                    2143395746619356,
-                    2209558562919611,
-                    482427979307092,
-                    847556718384018,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1248731221520740,
-                    1465200936117687,
-                    2792603306395388,
-                    2304778448366139,
-                    2513234303861356,
-                ]),
-                y_minus_x: FieldElement51([
-                    1057329623869501,
-                    620334067429122,
-                    461700859268034,
-                    2012481616501857,
-                    297268569108938,
-                ]),
-                xy2d: FieldElement51([
-                    1055352180870759,
-                    1553151421852298,
-                    1510903185371259,
-                    1470458349428097,
-                    1226259419062731,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3744788603986897,
-                    3042126439258578,
-                    3441906842094992,
-                    3641194565844440,
-                    3872208010289441,
-                ]),
-                y_minus_x: FieldElement51([
-                    47000654413729,
-                    1004754424173864,
-                    1868044813557703,
-                    173236934059409,
-                    588771199737015,
-                ]),
-                xy2d: FieldElement51([
-                    30498470091663,
-                    1082245510489825,
-                    576771653181956,
-                    806509986132686,
-                    1317634017056939,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2672107869436803,
-                    3745154677001249,
-                    2417006535213335,
-                    4136645508605033,
-                    2065456951573058,
-                ]),
-                y_minus_x: FieldElement51([
-                    1115636332012334,
-                    1854340990964155,
-                    83792697369514,
-                    1972177451994021,
-                    457455116057587,
-                ]),
-                xy2d: FieldElement51([
-                    1698968457310898,
-                    1435137169051090,
-                    1083661677032510,
-                    938363267483709,
-                    340103887207182,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1995325341336555,
-                    911500251774648,
-                    2415810569088940,
-                    855378419194761,
-                    3825401211214090,
-                ]),
-                y_minus_x: FieldElement51([
-                    241719380661528,
-                    310028521317150,
-                    1215881323380194,
-                    1408214976493624,
-                    2141142156467363,
-                ]),
-                xy2d: FieldElement51([
-                    1315157046163473,
-                    727368447885818,
-                    1363466668108618,
-                    1668921439990361,
-                    1398483384337907,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2326829491984875,
-                    3267188020145720,
-                    1849729037055211,
-                    4191614430138232,
-                    2696204044080201,
-                ]),
-                y_minus_x: FieldElement51([
-                    2053597130993710,
-                    2024431685856332,
-                    2233550957004860,
-                    2012407275509545,
-                    872546993104440,
-                ]),
-                xy2d: FieldElement51([
-                    1217269667678610,
-                    599909351968693,
-                    1390077048548598,
-                    1471879360694802,
-                    739586172317596,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3970118453066023,
-                    1560510726633957,
-                    3156262694845170,
-                    1418028351780051,
-                    2346204163137185,
-                ]),
-                y_minus_x: FieldElement51([
-                    2132502667405250,
-                    214379346175414,
-                    1502748313768060,
-                    1960071701057800,
-                    1353971822643138,
-                ]),
-                xy2d: FieldElement51([
-                    319394212043702,
-                    2127459436033571,
-                    717646691535162,
-                    663366796076914,
-                    318459064945314,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2657789238608841,
-                    1960452633787082,
-                    2919148848086913,
-                    3744474074452359,
-                    1451061489880786,
-                ]),
-                y_minus_x: FieldElement51([
-                    947085906234007,
-                    323284730494107,
-                    1485778563977200,
-                    728576821512394,
-                    901584347702286,
-                ]),
-                xy2d: FieldElement51([
-                    1575783124125742,
-                    2126210792434375,
-                    1569430791264065,
-                    1402582372904727,
-                    1891780248341114,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3090232019245924,
-                    4249503325136911,
-                    3270591693593114,
-                    1662001808174330,
-                    2330127946643001,
-                ]),
-                y_minus_x: FieldElement51([
-                    739152638255629,
-                    2074935399403557,
-                    505483666745895,
-                    1611883356514088,
-                    628654635394878,
-                ]),
-                xy2d: FieldElement51([
-                    1822054032121349,
-                    643057948186973,
-                    7306757352712,
-                    577249257962099,
-                    284735863382083,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3618358370049178,
-                    1448606567552085,
-                    3730680834630016,
-                    2417602993041145,
-                    1115718458123497,
-                ]),
-                y_minus_x: FieldElement51([
-                    204146226972102,
-                    1630511199034723,
-                    2215235214174763,
-                    174665910283542,
-                    956127674017216,
-                ]),
-                xy2d: FieldElement51([
-                    1562934578796716,
-                    1070893489712745,
-                    11324610642270,
-                    958989751581897,
-                    2172552325473805,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1770564423056008,
-                    2987323445349813,
-                    1326060113795288,
-                    1509650369341127,
-                    2317692235267932,
-                ]),
-                y_minus_x: FieldElement51([
-                    623682558650637,
-                    1337866509471512,
-                    990313350206649,
-                    1314236615762469,
-                    1164772974270275,
-                ]),
-                xy2d: FieldElement51([
-                    223256821462517,
-                    723690150104139,
-                    1000261663630601,
-                    933280913953265,
-                    254872671543046,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1969087237026022,
-                    2876595539132372,
-                    1335555107635968,
-                    2069986355593023,
-                    3963899963027150,
-                ]),
-                y_minus_x: FieldElement51([
-                    1236103475266979,
-                    1837885883267218,
-                    1026072585230455,
-                    1025865513954973,
-                    1801964901432134,
-                ]),
-                xy2d: FieldElement51([
-                    1115241013365517,
-                    1712251818829143,
-                    2148864332502771,
-                    2096001471438138,
-                    2235017246626125,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3551068012286861,
-                    2047148477845620,
-                    2165648650132450,
-                    1612539282026145,
-                    2765997725314138,
-                ]),
-                y_minus_x: FieldElement51([
-                    118352772338543,
-                    1067608711804704,
-                    1434796676193498,
-                    1683240170548391,
-                    230866769907437,
-                ]),
-                xy2d: FieldElement51([
-                    1850689576796636,
-                    1601590730430274,
-                    1139674615958142,
-                    1954384401440257,
-                    76039205311,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1723387471374172,
-                    3249101280723658,
-                    2785727448808904,
-                    2272728458379212,
-                    1756575222802512,
-                ]),
-                y_minus_x: FieldElement51([
-                    2146711623855116,
-                    503278928021499,
-                    625853062251406,
-                    1109121378393107,
-                    1033853809911861,
-                ]),
-                xy2d: FieldElement51([
-                    571005965509422,
-                    2005213373292546,
-                    1016697270349626,
-                    56607856974274,
-                    914438579435146,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1346698876211176,
-                    2076651707527589,
-                    3336561384795453,
-                    2517134292513653,
-                    1068954492309670,
-                ]),
-                y_minus_x: FieldElement51([
-                    1769967932677654,
-                    1695893319756416,
-                    1151863389675920,
-                    1781042784397689,
-                    400287774418285,
-                ]),
-                xy2d: FieldElement51([
-                    1851867764003121,
-                    403841933237558,
-                    820549523771987,
-                    761292590207581,
-                    1743735048551143,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    410915148140008,
-                    2107072311871739,
-                    3256167275561751,
-                    2351484709082008,
-                    1180818713503223,
-                ]),
-                y_minus_x: FieldElement51([
-                    285945406881439,
-                    648174397347453,
-                    1098403762631981,
-                    1366547441102991,
-                    1505876883139217,
-                ]),
-                xy2d: FieldElement51([
-                    672095903120153,
-                    1675918957959872,
-                    636236529315028,
-                    1569297300327696,
-                    2164144194785875,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1902708175321798,
-                    3287143344600686,
-                    1178560808893262,
-                    2552895497743394,
-                    1280977479761117,
-                ]),
-                y_minus_x: FieldElement51([
-                    1615357281742403,
-                    404257611616381,
-                    2160201349780978,
-                    1160947379188955,
-                    1578038619549541,
-                ]),
-                xy2d: FieldElement51([
-                    2013087639791217,
-                    822734930507457,
-                    1785668418619014,
-                    1668650702946164,
-                    389450875221715,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2705718263383616,
-                    2358206633614248,
-                    2072540975937134,
-                    308588860670238,
-                    1304394580755385,
-                ]),
-                y_minus_x: FieldElement51([
-                    1295082798350326,
-                    2091844511495996,
-                    1851348972587817,
-                    3375039684596,
-                    789440738712837,
-                ]),
-                xy2d: FieldElement51([
-                    2083069137186154,
-                    848523102004566,
-                    993982213589257,
-                    1405313299916317,
-                    1532824818698468,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3747761112537659,
-                    1397203457344778,
-                    4026750030752190,
-                    2391102557240943,
-                    2318403398028034,
-                ]),
-                y_minus_x: FieldElement51([
-                    1782411379088302,
-                    1096724939964781,
-                    27593390721418,
-                    542241850291353,
-                    1540337798439873,
-                ]),
-                xy2d: FieldElement51([
-                    693543956581437,
-                    171507720360750,
-                    1557908942697227,
-                    1074697073443438,
-                    1104093109037196,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    345288228393400,
-                    3351443383432420,
-                    2386681722088990,
-                    1740551994106739,
-                    2500011992985018,
-                ]),
-                y_minus_x: FieldElement51([
-                    231429562203065,
-                    1526290236421172,
-                    2021375064026423,
-                    1520954495658041,
-                    806337791525116,
-                ]),
-                xy2d: FieldElement51([
-                    1079623667189886,
-                    872403650198613,
-                    766894200588288,
-                    2163700860774109,
-                    2023464507911816,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    854645372543796,
-                    1936406001954827,
-                    2403260476226501,
-                    3077125552956802,
-                    1554306377287555,
-                ]),
-                y_minus_x: FieldElement51([
-                    1497138821904622,
-                    1044820250515590,
-                    1742593886423484,
-                    1237204112746837,
-                    849047450816987,
-                ]),
-                xy2d: FieldElement51([
-                    667962773375330,
-                    1897271816877105,
-                    1399712621683474,
-                    1143302161683099,
-                    2081798441209593,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2378947665252234,
-                    1936114012888109,
-                    1704424366552046,
-                    3108474694401560,
-                    2968403435020606,
-                ]),
-                y_minus_x: FieldElement51([
-                    1072409664800960,
-                    2146937497077528,
-                    1508780108920651,
-                    935767602384853,
-                    1112800433544068,
-                ]),
-                xy2d: FieldElement51([
-                    333549023751292,
-                    280219272863308,
-                    2104176666454852,
-                    1036466864875785,
-                    536135186520207,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2625466093568366,
-                    2398257055215356,
-                    2555916080813104,
-                    2667888562832962,
-                    3510376944868638,
-                ]),
-                y_minus_x: FieldElement51([
-                    1186115062588401,
-                    2251609796968486,
-                    1098944457878953,
-                    1153112761201374,
-                    1791625503417267,
-                ]),
-                xy2d: FieldElement51([
-                    1870078460219737,
-                    2129630962183380,
-                    852283639691142,
-                    292865602592851,
-                    401904317342226,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1361070124828016,
-                    815664541425524,
-                    3278598711049919,
-                    1951790935390646,
-                    2807674705520038,
-                ]),
-                y_minus_x: FieldElement51([
-                    1546301003424277,
-                    459094500062839,
-                    1097668518375311,
-                    1780297770129643,
-                    720763293687608,
-                ]),
-                xy2d: FieldElement51([
-                    1212405311403990,
-                    1536693382542438,
-                    61028431067459,
-                    1863929423417129,
-                    1223219538638038,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1294303766540260,
-                    3435357279640341,
-                    3134071170918340,
-                    2315654383110622,
-                    2213283684565086,
-                ]),
-                y_minus_x: FieldElement51([
-                    339050984211414,
-                    601386726509773,
-                    413735232134068,
-                    966191255137228,
-                    1839475899458159,
-                ]),
-                xy2d: FieldElement51([
-                    235605972169408,
-                    2174055643032978,
-                    1538335001838863,
-                    1281866796917192,
-                    1815940222628465,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1632352921721536,
-                    1833328609514701,
-                    2092779091951987,
-                    4175756015558474,
-                    2210068022482918,
-                ]),
-                y_minus_x: FieldElement51([
-                    35271216625062,
-                    1712350667021807,
-                    983664255668860,
-                    98571260373038,
-                    1232645608559836,
-                ]),
-                xy2d: FieldElement51([
-                    1998172393429622,
-                    1798947921427073,
-                    784387737563581,
-                    1589352214827263,
-                    1589861734168180,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1733739258725305,
-                    2283515530744786,
-                    2453769758904107,
-                    3243892858242237,
-                    1194308773174555,
-                ]),
-                y_minus_x: FieldElement51([
-                    846415389605137,
-                    746163495539180,
-                    829658752826080,
-                    592067705956946,
-                    957242537821393,
-                ]),
-                xy2d: FieldElement51([
-                    1758148849754419,
-                    619249044817679,
-                    168089007997045,
-                    1371497636330523,
-                    1867101418880350,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2578433797894864,
-                    2513559319756263,
-                    1700682323676192,
-                    1577907266349064,
-                    3469447477068264,
-                ]),
-                y_minus_x: FieldElement51([
-                    1714182387328607,
-                    1477856482074168,
-                    574895689942184,
-                    2159118410227270,
-                    1555532449716575,
-                ]),
-                xy2d: FieldElement51([
-                    853828206885131,
-                    998498946036955,
-                    1835887550391235,
-                    207627336608048,
-                    258363815956050,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2392941288336925,
-                    3488528558590503,
-                    2894901233585134,
-                    1646615130509172,
-                    1208239602291765,
-                ]),
-                y_minus_x: FieldElement51([
-                    1501663228068911,
-                    1354879465566912,
-                    1444432675498247,
-                    897812463852601,
-                    855062598754348,
-                ]),
-                xy2d: FieldElement51([
-                    714380763546606,
-                    1032824444965790,
-                    1774073483745338,
-                    1063840874947367,
-                    1738680636537158,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1640635546696233,
-                    2884968766877360,
-                    2212651044092395,
-                    2282390772269100,
-                    2620315074574625,
-                ]),
-                y_minus_x: FieldElement51([
-                    1171650314802029,
-                    1567085444565577,
-                    1453660792008405,
-                    757914533009261,
-                    1619511342778196,
-                ]),
-                xy2d: FieldElement51([
-                    420958967093237,
-                    971103481109486,
-                    2169549185607107,
-                    1301191633558497,
-                    1661514101014240,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3158923465503550,
-                    1332556122804145,
-                    4075855067109735,
-                    3619414031128206,
-                    1982558335973171,
-                ]),
-                y_minus_x: FieldElement51([
-                    1121533090144639,
-                    1021251337022187,
-                    110469995947421,
-                    1511059774758394,
-                    2110035908131662,
-                ]),
-                xy2d: FieldElement51([
-                    303213233384524,
-                    2061932261128138,
-                    352862124777736,
-                    40828818670255,
-                    249879468482660,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    856559257852200,
-                    2760317478634258,
-                    3629993581580163,
-                    3975258940632376,
-                    1962275756614520,
-                ]),
-                y_minus_x: FieldElement51([
-                    1445691340537320,
-                    40614383122127,
-                    402104303144865,
-                    485134269878232,
-                    1659439323587426,
-                ]),
-                xy2d: FieldElement51([
-                    20057458979482,
-                    1183363722525800,
-                    2140003847237215,
-                    2053873950687614,
-                    2112017736174909,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2228654250927986,
-                    3735391177100515,
-                    1368661293910955,
-                    3328311098862539,
-                    526650682059607,
-                ]),
-                y_minus_x: FieldElement51([
-                    709481497028540,
-                    531682216165724,
-                    316963769431931,
-                    1814315888453765,
-                    258560242424104,
-                ]),
-                xy2d: FieldElement51([
-                    1053447823660455,
-                    1955135194248683,
-                    1010900954918985,
-                    1182614026976701,
-                    1240051576966610,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1957943897155478,
-                    1788667368028035,
-                    2389492723714354,
-                    2252839333292309,
-                    3078204576998275,
-                ]),
-                y_minus_x: FieldElement51([
-                    1848942433095597,
-                    1582009882530495,
-                    1849292741020143,
-                    1068498323302788,
-                    2001402229799484,
-                ]),
-                xy2d: FieldElement51([
-                    1528282417624269,
-                    2142492439828191,
-                    2179662545816034,
-                    362568973150328,
-                    1591374675250271,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2411826493119617,
-                    2484141002903963,
-                    2149181472355544,
-                    598041771119831,
-                    2435658815595421,
-                ]),
-                y_minus_x: FieldElement51([
-                    2013278155187349,
-                    662660471354454,
-                    793981225706267,
-                    411706605985744,
-                    804490933124791,
-                ]),
-                xy2d: FieldElement51([
-                    2051892037280204,
-                    488391251096321,
-                    2230187337030708,
-                    930221970662692,
-                    679002758255210,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1530723630438670,
-                    875873929577927,
-                    2593359947955236,
-                    2701702933216000,
-                    1055551308214178,
-                ]),
-                y_minus_x: FieldElement51([
-                    1461835919309432,
-                    1955256480136428,
-                    180866187813063,
-                    1551979252664528,
-                    557743861963950,
-                ]),
-                xy2d: FieldElement51([
-                    359179641731115,
-                    1324915145732949,
-                    902828372691474,
-                    294254275669987,
-                    1887036027752957,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    4295071423139571,
-                    2038225437857463,
-                    1317528426475850,
-                    1398989128982787,
-                    2027639881006861,
-                ]),
-                y_minus_x: FieldElement51([
-                    2072902725256516,
-                    312132452743412,
-                    309930885642209,
-                    996244312618453,
-                    1590501300352303,
-                ]),
-                xy2d: FieldElement51([
-                    1397254305160710,
-                    695734355138021,
-                    2233992044438756,
-                    1776180593969996,
-                    1085588199351115,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2692366865016258,
-                    2506694600041928,
-                    2745669038615469,
-                    1556322069683365,
-                    3819256354004466,
-                ]),
-                y_minus_x: FieldElement51([
-                    1950722461391320,
-                    1907845598854797,
-                    1822757481635527,
-                    2121567704750244,
-                    73811931471221,
-                ]),
-                xy2d: FieldElement51([
-                    387139307395758,
-                    2058036430315676,
-                    1220915649965325,
-                    1794832055328951,
-                    1230009312169328,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1765973779329498,
-                    2911143873132225,
-                    2271621715291913,
-                    3553728154996461,
-                    3368065817761132,
-                ]),
-                y_minus_x: FieldElement51([
-                    1127572801181483,
-                    1224743760571696,
-                    1276219889847274,
-                    1529738721702581,
-                    1589819666871853,
-                ]),
-                xy2d: FieldElement51([
-                    2181229378964934,
-                    2190885205260020,
-                    1511536077659137,
-                    1246504208580490,
-                    668883326494241,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2689666469258543,
-                    2920826224880015,
-                    2333696811665585,
-                    523874406393177,
-                    2496851874620484,
-                ]),
-                y_minus_x: FieldElement51([
-                    1975438052228868,
-                    1071801519999806,
-                    594652299224319,
-                    1877697652668809,
-                    1489635366987285,
-                ]),
-                xy2d: FieldElement51([
-                    958592545673770,
-                    233048016518599,
-                    851568750216589,
-                    567703851596087,
-                    1740300006094761,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2014540178270324,
-                    192672779514432,
-                    2465676996326778,
-                    2194819933853410,
-                    1716422829364835,
-                ]),
-                y_minus_x: FieldElement51([
-                    1540769606609725,
-                    2148289943846077,
-                    1597804156127445,
-                    1230603716683868,
-                    815423458809453,
-                ]),
-                xy2d: FieldElement51([
-                    1738560251245018,
-                    1779576754536888,
-                    1783765347671392,
-                    1880170990446751,
-                    1088225159617541,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2911103727614740,
-                    1956447718227572,
-                    1830568515922666,
-                    3092868863429656,
-                    1669607124206367,
-                ]),
-                y_minus_x: FieldElement51([
-                    1143465490433355,
-                    1532194726196059,
-                    1093276745494697,
-                    481041706116088,
-                    2121405433561163,
-                ]),
-                xy2d: FieldElement51([
-                    1686424298744462,
-                    1451806974487153,
-                    266296068846582,
-                    1834686947542675,
-                    1720762336132256,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3141016840074207,
-                    3295090436969907,
-                    3107924901237156,
-                    1669272323124635,
-                    1603340330827879,
-                ]),
-                y_minus_x: FieldElement51([
-                    1206396181488998,
-                    333158148435054,
-                    1402633492821422,
-                    1120091191722026,
-                    1945474114550509,
-                ]),
-                xy2d: FieldElement51([
-                    766720088232571,
-                    1512222781191002,
-                    1189719893490790,
-                    2091302129467914,
-                    2141418006894941,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2671463460991841,
-                    1998875112167986,
-                    3678399683938955,
-                    3406728169064757,
-                    2738338345823434,
-                ]),
-                y_minus_x: FieldElement51([
-                    938160078005954,
-                    1421776319053174,
-                    1941643234741774,
-                    180002183320818,
-                    1414380336750546,
-                ]),
-                xy2d: FieldElement51([
-                    398001940109652,
-                    1577721237663248,
-                    1012748649830402,
-                    1540516006905144,
-                    1011684812884559,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1653276489969611,
-                    2257881638852872,
-                    1921777941170835,
-                    1604139841794531,
-                    3113010867325889,
-                ]),
-                y_minus_x: FieldElement51([
-                    996661541407379,
-                    1455877387952927,
-                    744312806857277,
-                    139213896196746,
-                    1000282908547789,
-                ]),
-                xy2d: FieldElement51([
-                    1450817495603008,
-                    1476865707053229,
-                    1030490562252053,
-                    620966950353376,
-                    1744760161539058,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2811528223687828,
-                    2288856475326432,
-                    2038622963352005,
-                    1637244893271723,
-                    3278365165924196,
-                ]),
-                y_minus_x: FieldElement51([
-                    962165956135846,
-                    1116599660248791,
-                    182090178006815,
-                    1455605467021751,
-                    196053588803284,
-                ]),
-                xy2d: FieldElement51([
-                    796863823080135,
-                    1897365583584155,
-                    420466939481601,
-                    2165972651724672,
-                    932177357788289,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    877047233620613,
-                    1375632631944375,
-                    2895573425567369,
-                    2911822552533124,
-                    2271153746017078,
-                ]),
-                y_minus_x: FieldElement51([
-                    2216943882299338,
-                    394841323190322,
-                    2222656898319671,
-                    558186553950529,
-                    1077236877025190,
-                ]),
-                xy2d: FieldElement51([
-                    801118384953213,
-                    1914330175515892,
-                    574541023311511,
-                    1471123787903705,
-                    1526158900256288,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3201417702772463,
-                    2207116611267330,
-                    3164719852826535,
-                    2752958352884036,
-                    2314162374456719,
-                ]),
-                y_minus_x: FieldElement51([
-                    1474518386765335,
-                    1760793622169197,
-                    1157399790472736,
-                    1622864308058898,
-                    165428294422792,
-                ]),
-                xy2d: FieldElement51([
-                    1961673048027128,
-                    102619413083113,
-                    1051982726768458,
-                    1603657989805485,
-                    1941613251499678,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1401939116319247,
-                    2587106153588320,
-                    2323846009771033,
-                    862423201496005,
-                    3102318568216632,
-                ]),
-                y_minus_x: FieldElement51([
-                    1234706593321979,
-                    1083343891215917,
-                    898273974314935,
-                    1640859118399498,
-                    157578398571149,
-                ]),
-                xy2d: FieldElement51([
-                    1143483057726416,
-                    1992614991758919,
-                    674268662140796,
-                    1773370048077526,
-                    674318359920189,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1835401379538542,
-                    173900035308392,
-                    818247630716732,
-                    4013900225838034,
-                    1021506399448290,
-                ]),
-                y_minus_x: FieldElement51([
-                    1506632088156630,
-                    2127481795522179,
-                    513812919490255,
-                    140643715928370,
-                    442476620300318,
-                ]),
-                xy2d: FieldElement51([
-                    2056683376856736,
-                    219094741662735,
-                    2193541883188309,
-                    1841182310235800,
-                    556477468664293,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3566819241596075,
-                    1049075855992602,
-                    4318372866671791,
-                    2518704280870781,
-                    2040482348591519,
-                ]),
-                y_minus_x: FieldElement51([
-                    94096246544434,
-                    922482381166992,
-                    24517828745563,
-                    2139430508542503,
-                    2097139044231004,
-                ]),
-                xy2d: FieldElement51([
-                    537697207950515,
-                    1399352016347350,
-                    1563663552106345,
-                    2148749520888918,
-                    549922092988516,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1747985413252415,
-                    680511052635695,
-                    1809559829982725,
-                    2846074064615302,
-                    2453472984431229,
-                ]),
-                y_minus_x: FieldElement51([
-                    323583936109569,
-                    1973572998577657,
-                    1192219029966558,
-                    79354804385273,
-                    1374043025560347,
-                ]),
-                xy2d: FieldElement51([
-                    213277331329947,
-                    416202017849623,
-                    1950535221091783,
-                    1313441578103244,
-                    2171386783823658,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2440888617915079,
-                    993969372859109,
-                    3147669935222235,
-                    3799101348983503,
-                    1477373024911349,
-                ]),
-                y_minus_x: FieldElement51([
-                    1620578418245010,
-                    541035331188469,
-                    2235785724453865,
-                    2154865809088198,
-                    1974627268751826,
-                ]),
-                xy2d: FieldElement51([
-                    1346805451740245,
-                    1350981335690626,
-                    942744349501813,
-                    2155094562545502,
-                    1012483751693409,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2107080134091762,
-                    1132567062788208,
-                    1824935377687210,
-                    769194804343737,
-                    1857941799971888,
-                ]),
-                y_minus_x: FieldElement51([
-                    1074666112436467,
-                    249279386739593,
-                    1174337926625354,
-                    1559013532006480,
-                    1472287775519121,
-                ]),
-                xy2d: FieldElement51([
-                    1872620123779532,
-                    1892932666768992,
-                    1921559078394978,
-                    1270573311796160,
-                    1438913646755037,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3089190001333428,
-                    3264053113908846,
-                    989780015893986,
-                    1351393287739814,
-                    2580427560230798,
-                ]),
-                y_minus_x: FieldElement51([
-                    1028328827183114,
-                    1711043289969857,
-                    1350832470374933,
-                    1923164689604327,
-                    1495656368846911,
-                ]),
-                xy2d: FieldElement51([
-                    1900828492104143,
-                    430212361082163,
-                    687437570852799,
-                    832514536673512,
-                    1685641495940794,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3094432661621646,
-                    605670026766215,
-                    290836444839585,
-                    2415010588577604,
-                    2213815011799644,
-                ]),
-                y_minus_x: FieldElement51([
-                    1176336383453996,
-                    1725477294339771,
-                    12700622672454,
-                    678015708818208,
-                    162724078519879,
-                ]),
-                xy2d: FieldElement51([
-                    1448049969043497,
-                    1789411762943521,
-                    385587766217753,
-                    90201620913498,
-                    832999441066823,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2767886146978542,
-                    2240508292484615,
-                    3603469341851756,
-                    3475055379001735,
-                    3002035638112385,
-                ]),
-                y_minus_x: FieldElement51([
-                    1263624896582495,
-                    1102602401673328,
-                    526302183714372,
-                    2152015839128799,
-                    1483839308490010,
-                ]),
-                xy2d: FieldElement51([
-                    442991718646863,
-                    1599275157036458,
-                    1925389027579192,
-                    899514691371390,
-                    350263251085160,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1689713572022124,
-                    2845654372939621,
-                    3229894858477217,
-                    1985127338729498,
-                    3927868934032873,
-                ]),
-                y_minus_x: FieldElement51([
-                    1557207018622683,
-                    340631692799603,
-                    1477725909476187,
-                    614735951619419,
-                    2033237123746766,
-                ]),
-                xy2d: FieldElement51([
-                    968764929340557,
-                    1225534776710944,
-                    662967304013036,
-                    1155521416178595,
-                    791142883466590,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1487081286167458,
-                    3244839255500182,
-                    1792378982844639,
-                    2950452258685122,
-                    2153908693179753,
-                ]),
-                y_minus_x: FieldElement51([
-                    1123181311102823,
-                    685575944875442,
-                    507605465509927,
-                    1412590462117473,
-                    568017325228626,
-                ]),
-                xy2d: FieldElement51([
-                    560258797465417,
-                    2193971151466401,
-                    1824086900849026,
-                    579056363542056,
-                    1690063960036441,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1918407319222397,
-                    2605567366745211,
-                    1930426334528098,
-                    1564816146005724,
-                    4113142195393344,
-                ]),
-                y_minus_x: FieldElement51([
-                    2131325168777276,
-                    1176636658428908,
-                    1756922641512981,
-                    1390243617176012,
-                    1966325177038383,
-                ]),
-                xy2d: FieldElement51([
-                    2063958120364491,
-                    2140267332393533,
-                    699896251574968,
-                    273268351312140,
-                    375580724713232,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2024297515263178,
-                    2668759143407935,
-                    3330814048702549,
-                    2423412039258430,
-                    1031677520051052,
-                ]),
-                y_minus_x: FieldElement51([
-                    2033900009388450,
-                    1744902869870788,
-                    2190580087917640,
-                    1949474984254121,
-                    231049754293748,
-                ]),
-                xy2d: FieldElement51([
-                    343868674606581,
-                    550155864008088,
-                    1450580864229630,
-                    481603765195050,
-                    896972360018042,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2151139328380127,
-                    2566545695770176,
-                    2311556639460451,
-                    1676664391494650,
-                    2048348075599360,
-                ]),
-                y_minus_x: FieldElement51([
-                    1528930066340597,
-                    1605003907059576,
-                    1055061081337675,
-                    1458319101947665,
-                    1234195845213142,
-                ]),
-                xy2d: FieldElement51([
-                    830430507734812,
-                    1780282976102377,
-                    1425386760709037,
-                    362399353095425,
-                    2168861579799910,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3407562046415562,
-                    980662895504005,
-                    2053766700883521,
-                    2742766027762854,
-                    2762205690726604,
-                ]),
-                y_minus_x: FieldElement51([
-                    1683750316716132,
-                    652278688286128,
-                    1221798761193539,
-                    1897360681476669,
-                    319658166027343,
-                ]),
-                xy2d: FieldElement51([
-                    618808732869972,
-                    72755186759744,
-                    2060379135624181,
-                    1730731526741822,
-                    48862757828238,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3714971784278753,
-                    3394840525452699,
-                    614590986558882,
-                    1409210575145591,
-                    1882816996436803,
-                ]),
-                y_minus_x: FieldElement51([
-                    2230133264691131,
-                    563950955091024,
-                    2042915975426398,
-                    827314356293472,
-                    672028980152815,
-                ]),
-                xy2d: FieldElement51([
-                    264204366029760,
-                    1654686424479449,
-                    2185050199932931,
-                    2207056159091748,
-                    506015669043634,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1784446333136550,
-                    1973746527984364,
-                    334856327359575,
-                    3408569589569858,
-                    3275749938360725,
-                ]),
-                y_minus_x: FieldElement51([
-                    2065270940578383,
-                    31477096270353,
-                    306421879113491,
-                    181958643936686,
-                    1907105536686083,
-                ]),
-                xy2d: FieldElement51([
-                    1496516440779464,
-                    1748485652986458,
-                    872778352227340,
-                    818358834654919,
-                    97932669284220,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2723435829455580,
-                    2924255216478824,
-                    1804995246884102,
-                    1842309243470804,
-                    3753662318666930,
-                ]),
-                y_minus_x: FieldElement51([
-                    1013216974933691,
-                    538921919682598,
-                    1915776722521558,
-                    1742822441583877,
-                    1886550687916656,
-                ]),
-                xy2d: FieldElement51([
-                    2094270000643336,
-                    303971879192276,
-                    40801275554748,
-                    649448917027930,
-                    1818544418535447,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2241737709499146,
-                    549397817447461,
-                    838180519319392,
-                    1725686958520781,
-                    3957438894582995,
-                ]),
-                y_minus_x: FieldElement51([
-                    1216074541925116,
-                    50120933933509,
-                    1565829004133810,
-                    721728156134580,
-                    349206064666188,
-                ]),
-                xy2d: FieldElement51([
-                    948617110470858,
-                    346222547451945,
-                    1126511960599975,
-                    1759386906004538,
-                    493053284802266,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1454933046815146,
-                    3126495827951610,
-                    1467170975468587,
-                    1432316382418897,
-                    2111710746366763,
-                ]),
-                y_minus_x: FieldElement51([
-                    2105387117364450,
-                    1996463405126433,
-                    1303008614294500,
-                    851908115948209,
-                    1353742049788635,
-                ]),
-                xy2d: FieldElement51([
-                    750300956351719,
-                    1487736556065813,
-                    15158817002104,
-                    1511998221598392,
-                    971739901354129,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1874648163531674,
-                    2124487685930551,
-                    1810030029384882,
-                    918400043048335,
-                    2838148440985898,
-                ]),
-                y_minus_x: FieldElement51([
-                    1235084464747900,
-                    1166111146432082,
-                    1745394857881591,
-                    1405516473883040,
-                    4463504151617,
-                ]),
-                xy2d: FieldElement51([
-                    1663810156463827,
-                    327797390285791,
-                    1341846161759410,
-                    1964121122800605,
-                    1747470312055380,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    660005247548214,
-                    2071860029952887,
-                    3610548013635355,
-                    911703252219106,
-                    3266179736709079,
-                ]),
-                y_minus_x: FieldElement51([
-                    2206641276178231,
-                    1690587809721504,
-                    1600173622825126,
-                    2156096097634421,
-                    1106822408548216,
-                ]),
-                xy2d: FieldElement51([
-                    1344788193552206,
-                    1949552134239140,
-                    1735915881729557,
-                    675891104100469,
-                    1834220014427292,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1920949492387945,
-                    2410685102072778,
-                    2322108077349280,
-                    2877838278583064,
-                    3719881539786256,
-                ]),
-                y_minus_x: FieldElement51([
-                    622221042073383,
-                    1210146474039168,
-                    1742246422343683,
-                    1403839361379025,
-                    417189490895736,
-                ]),
-                xy2d: FieldElement51([
-                    22727256592983,
-                    168471543384997,
-                    1324340989803650,
-                    1839310709638189,
-                    504999476432775,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3565040332441556,
-                    1721896294296941,
-                    2304063388272514,
-                    2065069734239231,
-                    3056710287109878,
-                ]),
-                y_minus_x: FieldElement51([
-                    1337466662091884,
-                    1287645354669772,
-                    2018019646776184,
-                    652181229374245,
-                    898011753211715,
-                ]),
-                xy2d: FieldElement51([
-                    1969792547910734,
-                    779969968247557,
-                    2011350094423418,
-                    1823964252907487,
-                    1058949448296945,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2459143550747250,
-                    1118176942430252,
-                    3010694408233412,
-                    806764629546265,
-                    1157700123092949,
-                ]),
-                y_minus_x: FieldElement51([
-                    1273565321399022,
-                    1638509681964574,
-                    759235866488935,
-                    666015124346707,
-                    897983460943405,
-                ]),
-                xy2d: FieldElement51([
-                    1717263794012298,
-                    1059601762860786,
-                    1837819172257618,
-                    1054130665797229,
-                    680893204263559,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2237039662793603,
-                    2249022333361206,
-                    2058613546633703,
-                    2401253908530527,
-                    2215176649164581,
-                ]),
-                y_minus_x: FieldElement51([
-                    79472182719605,
-                    1851130257050174,
-                    1825744808933107,
-                    821667333481068,
-                    781795293511946,
-                ]),
-                xy2d: FieldElement51([
-                    755822026485370,
-                    152464789723500,
-                    1178207602290608,
-                    410307889503239,
-                    156581253571278,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3669985309815545,
-                    2736319981413860,
-                    3898537095128197,
-                    3653287498355512,
-                    1349185550126960,
-                ]),
-                y_minus_x: FieldElement51([
-                    1495380034400429,
-                    325049476417173,
-                    46346894893933,
-                    1553408840354856,
-                    828980101835683,
-                ]),
-                xy2d: FieldElement51([
-                    1280337889310282,
-                    2070832742866672,
-                    1640940617225222,
-                    2098284908289951,
-                    450929509534434,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2659503167684029,
-                    2378371955168899,
-                    2537839641198868,
-                    1999255076709337,
-                    2030511179441770,
-                ]),
-                y_minus_x: FieldElement51([
-                    1254958221100483,
-                    1153235960999843,
-                    942907704968834,
-                    637105404087392,
-                    1149293270147267,
-                ]),
-                xy2d: FieldElement51([
-                    894249020470196,
-                    400291701616810,
-                    406878712230981,
-                    1599128793487393,
-                    1145868722604026,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3749755063888563,
-                    2361916158338507,
-                    1128535642171975,
-                    1900106496009660,
-                    2381592531146157,
-                ]),
-                y_minus_x: FieldElement51([
-                    452487513298665,
-                    1352120549024569,
-                    1173495883910956,
-                    1999111705922009,
-                    367328130454226,
-                ]),
-                xy2d: FieldElement51([
-                    1717539401269642,
-                    1475188995688487,
-                    891921989653942,
-                    836824441505699,
-                    1885988485608364,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3493583935107776,
-                    2439136865632830,
-                    3370281625921440,
-                    2680547565621609,
-                    2282158712612572,
-                ]),
-                y_minus_x: FieldElement51([
-                    2022432361201842,
-                    1088816090685051,
-                    1977843398539868,
-                    1854834215890724,
-                    564238862029357,
-                ]),
-                xy2d: FieldElement51([
-                    938868489100585,
-                    1100285072929025,
-                    1017806255688848,
-                    1957262154788833,
-                    152787950560442,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3119119231364171,
-                    2872271776627789,
-                    2477832016990963,
-                    2593801257642876,
-                    1761675818237335,
-                ]),
-                y_minus_x: FieldElement51([
-                    1295072362439987,
-                    931227904689414,
-                    1355731432641687,
-                    922235735834035,
-                    892227229410209,
-                ]),
-                xy2d: FieldElement51([
-                    1680989767906154,
-                    535362787031440,
-                    2136691276706570,
-                    1942228485381244,
-                    1267350086882274,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2617818047455756,
-                    2684460443440843,
-                    2378209521329782,
-                    1973842949591661,
-                    2897427157127624,
-                ]),
-                y_minus_x: FieldElement51([
-                    535509430575217,
-                    546885533737322,
-                    1524675609547799,
-                    2138095752851703,
-                    1260738089896827,
-                ]),
-                xy2d: FieldElement51([
-                    1159906385590467,
-                    2198530004321610,
-                    714559485023225,
-                    81880727882151,
-                    1484020820037082,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1377485731340769,
-                    2046328105512000,
-                    1802058637158797,
-                    2313945950453421,
-                    1356993908853900,
-                ]),
-                y_minus_x: FieldElement51([
-                    2013612215646735,
-                    1830770575920375,
-                    536135310219832,
-                    609272325580394,
-                    270684344495013,
-                ]),
-                xy2d: FieldElement51([
-                    1237542585982777,
-                    2228682050256790,
-                    1385281931622824,
-                    593183794882890,
-                    493654978552689,
-                ]),
-            },
-        ]),
-        LookupTable([
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2299141301692989,
-                    1891414891220256,
-                    983894663308928,
-                    2427961581972066,
-                    3378060928864955,
-                ]),
-                y_minus_x: FieldElement51([
-                    1694030170963455,
-                    502038567066200,
-                    1691160065225467,
-                    949628319562187,
-                    275110186693066,
-                ]),
-                xy2d: FieldElement51([
-                    1124515748676336,
-                    1661673816593408,
-                    1499640319059718,
-                    1584929449166988,
-                    558148594103306,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    1784525599998356,
-                    1619698033617383,
-                    2097300287550715,
-                    2510065271789004,
-                    1905684794832757,
-                ]),
-                y_minus_x: FieldElement51([
-                    1288941072872766,
-                    931787902039402,
-                    190731008859042,
-                    2006859954667190,
-                    1005931482221702,
-                ]),
-                xy2d: FieldElement51([
-                    1465551264822703,
-                    152905080555927,
-                    680334307368453,
-                    173227184634745,
-                    666407097159852,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2111017076203943,
-                    3630560299479595,
-                    1248583954016455,
-                    3604089008549670,
-                    1895180776543895,
-                ]),
-                y_minus_x: FieldElement51([
-                    171348223915638,
-                    662766099800389,
-                    462338943760497,
-                    466917763340314,
-                    656911292869115,
-                ]),
-                xy2d: FieldElement51([
-                    488623681976577,
-                    866497561541722,
-                    1708105560937768,
-                    1673781214218839,
-                    1506146329818807,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2412225278142205,
-                    950394373239688,
-                    2682296937026182,
-                    711676555398831,
-                    320964687779005,
-                ]),
-                y_minus_x: FieldElement51([
-                    988979367990485,
-                    1359729327576302,
-                    1301834257246029,
-                    294141160829308,
-                    29348272277475,
-                ]),
-                xy2d: FieldElement51([
-                    1434382743317910,
-                    100082049942065,
-                    221102347892623,
-                    186982837860588,
-                    1305765053501834,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    2205916462268190,
-                    2751663643476068,
-                    961960554686615,
-                    2409862576442233,
-                    1841471168298304,
-                ]),
-                y_minus_x: FieldElement51([
-                    1191737341426592,
-                    1847042034978363,
-                    1382213545049056,
-                    1039952395710448,
-                    788812858896859,
-                ]),
-                xy2d: FieldElement51([
-                    1346965964571152,
-                    1291881610839830,
-                    2142916164336056,
-                    786821641205979,
-                    1571709146321039,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    787164375951248,
-                    2454669019058437,
-                    3608390234717387,
-                    1431233331032509,
-                    786341368775957,
-                ]),
-                y_minus_x: FieldElement51([
-                    492448143532951,
-                    304105152670757,
-                    1761767168301056,
-                    233782684697790,
-                    1981295323106089,
-                ]),
-                xy2d: FieldElement51([
-                    665807507761866,
-                    1343384868355425,
-                    895831046139653,
-                    439338948736892,
-                    1986828765695105,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3007896024559801,
-                    1721699973539148,
-                    2510565115413133,
-                    1390588532210644,
-                    1212530909934781,
-                ]),
-                y_minus_x: FieldElement51([
-                    852891097972275,
-                    1816988871354562,
-                    1543772755726524,
-                    1174710635522444,
-                    202129090724628,
-                ]),
-                xy2d: FieldElement51([
-                    1205281565824323,
-                    22430498399418,
-                    992947814485516,
-                    1392458699738672,
-                    688441466734558,
-                ]),
-            },
-            AffineNielsPoint {
-                y_plus_x: FieldElement51([
-                    3302427242100220,
-                    1955849529137134,
-                    2171162376368357,
-                    2343545681983462,
-                    447733118757825,
-                ]),
-                y_minus_x: FieldElement51([
-                    1287181461435438,
-                    622722465530711,
-                    880952150571872,
-                    741035693459198,
-                    311565274989772,
-                ]),
-                xy2d: FieldElement51([
-                    1003649078149734,
-                    545233927396469,
-                    1849786171789880,
-                    1318943684880434,
-                    280345687170552,
-                ]),
-            },
-        ]),
-    ]);
+static ED25519_BASEPOINT_TABLE_INNER_DOC_HIDDEN: EdwardsBasepointTable = EdwardsBasepointTable([
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3540182452943730,
+                2497478415033846,
+                2521227595762870,
+                1462984067271729,
+                2389212253076811,
+            ]),
+            y_minus_x: FieldElement51([
+                62697248952638,
+                204681361388450,
+                631292143396476,
+                338455783676468,
+                1213667448819585,
+            ]),
+            xy2d: FieldElement51([
+                301289933810280,
+                1259582250014073,
+                1422107436869536,
+                796239922652654,
+                1953934009299142,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3632771708514775,
+                790832306631235,
+                2067202295274102,
+                1995808275510000,
+                1566530869037010,
+            ]),
+            y_minus_x: FieldElement51([
+                463307831301544,
+                432984605774163,
+                1610641361907204,
+                750899048855000,
+                1894842303421586,
+            ]),
+            xy2d: FieldElement51([
+                748439484463711,
+                1033211726465151,
+                1396005112841647,
+                1611506220286469,
+                1972177495910992,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1601611775252272,
+                1720807796594148,
+                1132070835939856,
+                3512254832574799,
+                2147779492816910,
+            ]),
+            y_minus_x: FieldElement51([
+                316559037616741,
+                2177824224946892,
+                1459442586438991,
+                1461528397712656,
+                751590696113597,
+            ]),
+            xy2d: FieldElement51([
+                1850748884277385,
+                1200145853858453,
+                1068094770532492,
+                672251375690438,
+                1586055907191707,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                934282339813791,
+                1846903124198670,
+                1172395437954843,
+                1007037127761661,
+                1830588347719256,
+            ]),
+            y_minus_x: FieldElement51([
+                1694390458783935,
+                1735906047636159,
+                705069562067493,
+                648033061693059,
+                696214010414170,
+            ]),
+            xy2d: FieldElement51([
+                1121406372216585,
+                192876649532226,
+                190294192191717,
+                1994165897297032,
+                2245000007398739,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                769950342298400,
+                2384754244604994,
+                3095885746880802,
+                3225892188161580,
+                2977876099231263,
+            ]),
+            y_minus_x: FieldElement51([
+                425251763115706,
+                608463272472562,
+                442562545713235,
+                837766094556764,
+                374555092627893,
+            ]),
+            xy2d: FieldElement51([
+                1086255230780037,
+                274979815921559,
+                1960002765731872,
+                929474102396301,
+                1190409889297339,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1388594989461809,
+                316767091099457,
+                2646098655878230,
+                1230079486801004,
+                1440737038838979,
+            ]),
+            y_minus_x: FieldElement51([
+                7380825640100,
+                146210432690483,
+                304903576448906,
+                1198869323871120,
+                997689833219095,
+            ]),
+            xy2d: FieldElement51([
+                1181317918772081,
+                114573476638901,
+                262805072233344,
+                265712217171332,
+                294181933805782,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2916800678241215,
+                2065379846933858,
+                2622030924071124,
+                2602788184473875,
+                1233371373142984,
+            ]),
+            y_minus_x: FieldElement51([
+                2019367628972465,
+                676711900706637,
+                110710997811333,
+                1108646842542025,
+                517791959672113,
+            ]),
+            xy2d: FieldElement51([
+                965130719900578,
+                247011430587952,
+                526356006571389,
+                91986625355052,
+                2157223321444601,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                4320419353804412,
+                4218074731744053,
+                957728544705548,
+                729906502578991,
+                2411634706750414,
+            ]),
+            y_minus_x: FieldElement51([
+                2073601412052185,
+                31021124762708,
+                264500969797082,
+                248034690651703,
+                1030252227928288,
+            ]),
+            xy2d: FieldElement51([
+                551790716293402,
+                1989538725166328,
+                801169423371717,
+                2052451893578887,
+                678432056995012,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1368953770187805,
+                3042147450398169,
+                2689308289352409,
+                2142576377050579,
+                1932081720066286,
+            ]),
+            y_minus_x: FieldElement51([
+                953638594433374,
+                1092333936795051,
+                1419774766716690,
+                805677984380077,
+                859228993502513,
+            ]),
+            xy2d: FieldElement51([
+                1200766035879111,
+                20142053207432,
+                1465634435977050,
+                1645256912097844,
+                295121984874596,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1735718747031538,
+                1248237894295956,
+                1204753118328107,
+                976066523550493,
+                2317743583219840,
+            ]),
+            y_minus_x: FieldElement51([
+                1060098822528990,
+                1586825862073490,
+                212301317240126,
+                1975302711403555,
+                666724059764335,
+            ]),
+            xy2d: FieldElement51([
+                1091990273418756,
+                1572899409348578,
+                80968014455247,
+                306009358661350,
+                1520450739132526,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3732317023121341,
+                1511153322193951,
+                3496143672676420,
+                2556587964178488,
+                2620936670181690,
+            ]),
+            y_minus_x: FieldElement51([
+                2151330273626164,
+                762045184746182,
+                1688074332551515,
+                823046109005759,
+                907602769079491,
+            ]),
+            xy2d: FieldElement51([
+                2047386910586836,
+                168470092900250,
+                1552838872594810,
+                340951180073789,
+                360819374702533,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1982622644432037,
+                2014393600336956,
+                2380709022489462,
+                3869592437614438,
+                2357094095599062,
+            ]),
+            y_minus_x: FieldElement51([
+                980234343912898,
+                1712256739246056,
+                588935272190264,
+                204298813091998,
+                841798321043288,
+            ]),
+            xy2d: FieldElement51([
+                197561292938973,
+                454817274782871,
+                1963754960082318,
+                2113372252160468,
+                971377527342673,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2416499262514576,
+                2254927265442919,
+                3451304785234000,
+                1766155447043651,
+                1899238924683527,
+            ]),
+            y_minus_x: FieldElement51([
+                732262946680281,
+                1674412764227063,
+                2182456405662809,
+                1350894754474250,
+                558458873295247,
+            ]),
+            xy2d: FieldElement51([
+                2103305098582922,
+                1960809151316468,
+                715134605001343,
+                1454892949167181,
+                40827143824949,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1239289043050193,
+                1744654158124578,
+                758702410031698,
+                4048562808759936,
+                2253402870349013,
+            ]),
+            y_minus_x: FieldElement51([
+                2232056027107988,
+                987343914584615,
+                2115594492994461,
+                1819598072792159,
+                1119305654014850,
+            ]),
+            xy2d: FieldElement51([
+                320153677847348,
+                939613871605645,
+                641883205761567,
+                1930009789398224,
+                329165806634126,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3232730304159378,
+                1242488692177892,
+                1251446316964684,
+                1086618677993530,
+                1961430968465772,
+            ]),
+            y_minus_x: FieldElement51([
+                276821765317453,
+                1536835591188030,
+                1305212741412361,
+                61473904210175,
+                2051377036983058,
+            ]),
+            xy2d: FieldElement51([
+                833449923882501,
+                1750270368490475,
+                1123347002068295,
+                185477424765687,
+                278090826653186,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                794524995833413,
+                1849907304548286,
+                2305148486158393,
+                1272368559505216,
+                1147304168324779,
+            ]),
+            y_minus_x: FieldElement51([
+                1504846112759364,
+                1203096289004681,
+                562139421471418,
+                274333017451844,
+                1284344053775441,
+            ]),
+            xy2d: FieldElement51([
+                483048732424432,
+                2116063063343382,
+                30120189902313,
+                292451576741007,
+                1156379271702225,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3180171966714267,
+                2147692869914563,
+                1455665844462196,
+                1986737809425946,
+                2437006863943337,
+            ]),
+            y_minus_x: FieldElement51([
+                137732961814206,
+                706670923917341,
+                1387038086865771,
+                1965643813686352,
+                1384777115696347,
+            ]),
+            xy2d: FieldElement51([
+                481144981981577,
+                2053319313589856,
+                2065402289827512,
+                617954271490316,
+                1106602634668125,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2948097833334040,
+                3145099472726142,
+                1148636718636008,
+                2278533891034865,
+                2203955659340680,
+            ]),
+            y_minus_x: FieldElement51([
+                657390353372855,
+                998499966885562,
+                991893336905797,
+                810470207106761,
+                343139804608786,
+            ]),
+            xy2d: FieldElement51([
+                791736669492960,
+                934767652997115,
+                824656780392914,
+                1759463253018643,
+                361530362383518,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2022541353055578,
+                4346500076272714,
+                3802807888710933,
+                2494585331103411,
+                2947785218648809,
+            ]),
+            y_minus_x: FieldElement51([
+                1287487199965223,
+                2215311941380308,
+                1552928390931986,
+                1664859529680196,
+                1125004975265243,
+            ]),
+            xy2d: FieldElement51([
+                677434665154918,
+                989582503122485,
+                1817429540898386,
+                1052904935475344,
+                1143826298169798,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2619066141993637,
+                2570231002607651,
+                2947429167440602,
+                2885885471266079,
+                2276381426249673,
+            ]),
+            y_minus_x: FieldElement51([
+                773360688841258,
+                1815381330538070,
+                363773437667376,
+                539629987070205,
+                783280434248437,
+            ]),
+            xy2d: FieldElement51([
+                180820816194166,
+                168937968377394,
+                748416242794470,
+                1227281252254508,
+                1567587861004268,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2730575372268893,
+                2062896624554806,
+                2951191072970647,
+                2609899222113120,
+                1277310261461760,
+            ]),
+            y_minus_x: FieldElement51([
+                1984740906540026,
+                1079164179400229,
+                1056021349262661,
+                1659958556483663,
+                1088529069025527,
+            ]),
+            xy2d: FieldElement51([
+                580736401511151,
+                1842931091388998,
+                1177201471228238,
+                2075460256527244,
+                1301133425678027,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1515728832059163,
+                1575261009617579,
+                1510246567196186,
+                2442877836294952,
+                2368461529974388,
+            ]),
+            y_minus_x: FieldElement51([
+                1295295738269652,
+                1714742313707026,
+                545583042462581,
+                2034411676262552,
+                1513248090013606,
+            ]),
+            xy2d: FieldElement51([
+                230710545179830,
+                30821514358353,
+                760704303452229,
+                390668103790604,
+                573437871383156,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3421179921230875,
+                2514967047430861,
+                4274701112739695,
+                3071700566936367,
+                4275698278559832,
+            ]),
+            y_minus_x: FieldElement51([
+                2102254323485823,
+                1570832666216754,
+                34696906544624,
+                1993213739807337,
+                70638552271463,
+            ]),
+            xy2d: FieldElement51([
+                894132856735058,
+                548675863558441,
+                845349339503395,
+                1942269668326667,
+                1615682209874691,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3539470031223082,
+                1222355136884919,
+                1846481788678694,
+                1150426571265110,
+                1613523400722047,
+            ]),
+            y_minus_x: FieldElement51([
+                793388516527298,
+                1315457083650035,
+                1972286999342417,
+                1901825953052455,
+                338269477222410,
+            ]),
+            xy2d: FieldElement51([
+                550201530671806,
+                778605267108140,
+                2063911101902983,
+                115500557286349,
+                2041641272971022,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                717255318455100,
+                519313764361315,
+                2080406977303708,
+                541981206705521,
+                774328150311600,
+            ]),
+            y_minus_x: FieldElement51([
+                261715221532238,
+                1795354330069993,
+                1496878026850283,
+                499739720521052,
+                389031152673770,
+            ]),
+            xy2d: FieldElement51([
+                1997217696294013,
+                1717306351628065,
+                1684313917746180,
+                1644426076011410,
+                1857378133465451,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3727234538477877,
+                2328731709971226,
+                3368528843456914,
+                2002544139318041,
+                2977347647489186,
+            ]),
+            y_minus_x: FieldElement51([
+                2022306639183567,
+                726296063571875,
+                315345054448644,
+                1058733329149221,
+                1448201136060677,
+            ]),
+            xy2d: FieldElement51([
+                1710065158525665,
+                1895094923036397,
+                123988286168546,
+                1145519900776355,
+                1607510767693874,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2813405189107769,
+                1071733543815036,
+                2383296312486238,
+                1946868434569998,
+                3079937947649451,
+            ]),
+            y_minus_x: FieldElement51([
+                1548495173745801,
+                442310529226540,
+                998072547000384,
+                553054358385281,
+                644824326376171,
+            ]),
+            xy2d: FieldElement51([
+                1445526537029440,
+                2225519789662536,
+                914628859347385,
+                1064754194555068,
+                1660295614401091,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3451490036797185,
+                2275827949507588,
+                2318438102929588,
+                2309425969971222,
+                2816893781664854,
+            ]),
+            y_minus_x: FieldElement51([
+                876926774220824,
+                554618976488214,
+                1012056309841565,
+                839961821554611,
+                1414499340307677,
+            ]),
+            xy2d: FieldElement51([
+                703047626104145,
+                1266841406201770,
+                165556500219173,
+                486991595001879,
+                1011325891650656,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1622861044480487,
+                1156394801573634,
+                4120932379100752,
+                2578903799462977,
+                2095342781472283,
+            ]),
+            y_minus_x: FieldElement51([
+                334886927423922,
+                489511099221528,
+                129160865966726,
+                1720809113143481,
+                619700195649254,
+            ]),
+            xy2d: FieldElement51([
+                1646545795166119,
+                1758370782583567,
+                714746174550637,
+                1472693650165135,
+                898994790308209,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2585203586724508,
+                2547572356138185,
+                1693106465353609,
+                912330357530760,
+                2723035471635610,
+            ]),
+            y_minus_x: FieldElement51([
+                1811196219982022,
+                1068969825533602,
+                289602974833439,
+                1988956043611592,
+                863562343398367,
+            ]),
+            xy2d: FieldElement51([
+                906282429780072,
+                2108672665779781,
+                432396390473936,
+                150625823801893,
+                1708930497638539,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                925664675702309,
+                2273216662253932,
+                4083236455546587,
+                601157008940112,
+                2623617868729744,
+            ]),
+            y_minus_x: FieldElement51([
+                1479786007267725,
+                1738881859066675,
+                68646196476567,
+                2146507056100328,
+                1247662817535471,
+            ]),
+            xy2d: FieldElement51([
+                52035296774456,
+                939969390708103,
+                312023458773250,
+                59873523517659,
+                1231345905848899,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2895154920100990,
+                2541986621181021,
+                2013561737429022,
+                2571447883196794,
+                2645536492181409,
+            ]),
+            y_minus_x: FieldElement51([
+                129358342392716,
+                1932811617704777,
+                1176749390799681,
+                398040349861790,
+                1170779668090425,
+            ]),
+            xy2d: FieldElement51([
+                2051980782668029,
+                121859921510665,
+                2048329875753063,
+                1235229850149665,
+                519062146124755,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3859970785658325,
+                2667608874045675,
+                1350468408164765,
+                2038620059057678,
+                3278704299674360,
+            ]),
+            y_minus_x: FieldElement51([
+                1837656083115103,
+                1510134048812070,
+                906263674192061,
+                1821064197805734,
+                565375124676301,
+            ]),
+            xy2d: FieldElement51([
+                578027192365650,
+                2034800251375322,
+                2128954087207123,
+                478816193810521,
+                2196171989962750,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1633188840273120,
+                3104586986058956,
+                1548762607215795,
+                1266275218902681,
+                3359018017010381,
+            ]),
+            y_minus_x: FieldElement51([
+                462189358480054,
+                1784816734159228,
+                1611334301651368,
+                1303938263943540,
+                707589560319424,
+            ]),
+            xy2d: FieldElement51([
+                1038829280972848,
+                38176604650029,
+                753193246598573,
+                1136076426528122,
+                595709990562434,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3660251634545082,
+                2194984964010832,
+                2198361797561729,
+                1061962440055713,
+                1645147963442934,
+            ]),
+            y_minus_x: FieldElement51([
+                4701053362120,
+                1647641066302348,
+                1047553002242085,
+                1923635013395977,
+                206970314902065,
+            ]),
+            xy2d: FieldElement51([
+                1750479161778571,
+                1362553355169293,
+                1891721260220598,
+                966109370862782,
+                1024913988299801,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2464498862816952,
+                1117950018299774,
+                1873945661751056,
+                3655602735669306,
+                2382695896337945,
+            ]),
+            y_minus_x: FieldElement51([
+                636808533673210,
+                1262201711667560,
+                390951380330599,
+                1663420692697294,
+                561951321757406,
+            ]),
+            xy2d: FieldElement51([
+                520731594438141,
+                1446301499955692,
+                273753264629267,
+                1565101517999256,
+                1019411827004672,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3178327305714638,
+                3443653291096626,
+                734233225181170,
+                2435838701226518,
+                4042225960010590,
+            ]),
+            y_minus_x: FieldElement51([
+                1464651961852572,
+                1483737295721717,
+                1519450561335517,
+                1161429831763785,
+                405914998179977,
+            ]),
+            xy2d: FieldElement51([
+                996126634382301,
+                796204125879525,
+                127517800546509,
+                344155944689303,
+                615279846169038,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2990523894660505,
+                2188666632415295,
+                1961313708559162,
+                1506545807547587,
+                3403101452654988,
+            ]),
+            y_minus_x: FieldElement51([
+                622917337413835,
+                1218989177089035,
+                1284857712846592,
+                970502061709359,
+                351025208117090,
+            ]),
+            xy2d: FieldElement51([
+                2067814584765580,
+                1677855129927492,
+                2086109782475197,
+                235286517313238,
+                1416314046739645,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2838644076315587,
+                2559244195637442,
+                458399356043425,
+                2853867838192310,
+                3280348017100490,
+            ]),
+            y_minus_x: FieldElement51([
+                678489922928203,
+                2016657584724032,
+                90977383049628,
+                1026831907234582,
+                615271492942522,
+            ]),
+            xy2d: FieldElement51([
+                301225714012278,
+                1094837270268560,
+                1202288391010439,
+                644352775178361,
+                1647055902137983,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1210746697896459,
+                1416608304244708,
+                2938287290903104,
+                3496931005119382,
+                3303038150540984,
+            ]),
+            y_minus_x: FieldElement51([
+                1135604073198207,
+                1683322080485474,
+                769147804376683,
+                2086688130589414,
+                900445683120379,
+            ]),
+            xy2d: FieldElement51([
+                1971518477615628,
+                401909519527336,
+                448627091057375,
+                1409486868273821,
+                1214789035034363,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1364039144731711,
+                1897497433586190,
+                2203097701135459,
+                2397261210496499,
+                1349844460790698,
+            ]),
+            y_minus_x: FieldElement51([
+                1045230323257973,
+                818206601145807,
+                630513189076103,
+                1672046528998132,
+                807204017562437,
+            ]),
+            xy2d: FieldElement51([
+                439961968385997,
+                386362664488986,
+                1382706320807688,
+                309894000125359,
+                2207801346498567,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3480804500082836,
+                3172443782216110,
+                2375775707596425,
+                2933223806901024,
+                1400559197080972,
+            ]),
+            y_minus_x: FieldElement51([
+                2003766096898049,
+                170074059235165,
+                1141124258967971,
+                1485419893480973,
+                1573762821028725,
+            ]),
+            xy2d: FieldElement51([
+                729905708611432,
+                1270323270673202,
+                123353058984288,
+                426460209632942,
+                2195574535456672,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1271140255321216,
+                2044363183174497,
+                2303925201319937,
+                3696920060379952,
+                3194341800024331,
+            ]),
+            y_minus_x: FieldElement51([
+                1761608437466135,
+                583360847526804,
+                1586706389685493,
+                2157056599579261,
+                1170692369685772,
+            ]),
+            xy2d: FieldElement51([
+                871476219910823,
+                1878769545097794,
+                2241832391238412,
+                548957640601001,
+                690047440233174,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2548994545820755,
+                1366347803776819,
+                3552985325930849,
+                561849853336293,
+                1533554921345731,
+            ]),
+            y_minus_x: FieldElement51([
+                999628998628371,
+                1132836708493400,
+                2084741674517453,
+                469343353015612,
+                678782988708035,
+            ]),
+            xy2d: FieldElement51([
+                2189427607417022,
+                699801937082607,
+                412764402319267,
+                1478091893643349,
+                2244675696854460,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3964091869651792,
+                2456213404310121,
+                3657538451018088,
+                2660781114515010,
+                3112882032961968,
+            ]),
+            y_minus_x: FieldElement51([
+                508561155940631,
+                966928475686665,
+                2236717801150132,
+                424543858577297,
+                2089272956986143,
+            ]),
+            xy2d: FieldElement51([
+                221245220129925,
+                1156020201681217,
+                491145634799213,
+                542422431960839,
+                828100817819207,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2405556784925632,
+                1299874139923976,
+                2644898978945750,
+                1058234455773021,
+                996989038681183,
+            ]),
+            y_minus_x: FieldElement51([
+                559086812798481,
+                573177704212711,
+                1629737083816402,
+                1399819713462595,
+                1646954378266038,
+            ]),
+            xy2d: FieldElement51([
+                1887963056288059,
+                228507035730124,
+                1468368348640282,
+                930557653420194,
+                613513962454686,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1224529808187534,
+                1577022856702685,
+                2206946542980843,
+                625883007765001,
+                2531730607197406,
+            ]),
+            y_minus_x: FieldElement51([
+                1076287717051609,
+                1114455570543035,
+                187297059715481,
+                250446884292121,
+                1885187512550540,
+            ]),
+            xy2d: FieldElement51([
+                902497362940219,
+                76749815795675,
+                1657927525633846,
+                1420238379745202,
+                1340321636548352,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1129576631190765,
+                3533793823712575,
+                996844254743017,
+                2509676177174497,
+                3402650555740265,
+            ]),
+            y_minus_x: FieldElement51([
+                628740660038789,
+                1943038498527841,
+                467786347793886,
+                1093341428303375,
+                235413859513003,
+            ]),
+            xy2d: FieldElement51([
+                237425418909360,
+                469614029179605,
+                1512389769174935,
+                1241726368345357,
+                441602891065214,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3988217766743784,
+                726531315520507,
+                1833335034432527,
+                1629442561574747,
+                2876218732971333,
+            ]),
+            y_minus_x: FieldElement51([
+                1960754663920689,
+                497040957888962,
+                1909832851283095,
+                1271432136996826,
+                2219780368020940,
+            ]),
+            xy2d: FieldElement51([
+                1537037379417136,
+                1358865369268262,
+                2130838645654099,
+                828733687040705,
+                1999987652890901,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                629042105241795,
+                1098854999137608,
+                887281544569320,
+                3674901833560025,
+                2259711072636808,
+            ]),
+            y_minus_x: FieldElement51([
+                1811562332665373,
+                1501882019007673,
+                2213763501088999,
+                359573079719636,
+                36370565049116,
+            ]),
+            xy2d: FieldElement51([
+                218907117361280,
+                1209298913016966,
+                1944312619096112,
+                1130690631451061,
+                1342327389191701,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1369976867854685,
+                1396479602419169,
+                4017456468084104,
+                2203659200586298,
+                3250127649802489,
+            ]),
+            y_minus_x: FieldElement51([
+                2230701885562825,
+                1348173180338974,
+                2172856128624598,
+                1426538746123771,
+                444193481326151,
+            ]),
+            xy2d: FieldElement51([
+                784210426627951,
+                918204562375674,
+                1284546780452985,
+                1324534636134684,
+                1872449409642708,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2571438643225542,
+                2848082470493653,
+                2037902696412607,
+                1557219121643918,
+                341938082688094,
+            ]),
+            y_minus_x: FieldElement51([
+                1901860206695915,
+                2004489122065736,
+                1625847061568236,
+                973529743399879,
+                2075287685312905,
+            ]),
+            xy2d: FieldElement51([
+                1371853944110545,
+                1042332820512553,
+                1949855697918254,
+                1791195775521505,
+                37487364849293,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                687200189577836,
+                1082536651125675,
+                2896024754556794,
+                2592723009743198,
+                2595381160432643,
+            ]),
+            y_minus_x: FieldElement51([
+                2082717129583892,
+                27829425539422,
+                145655066671970,
+                1690527209845512,
+                1865260509673478,
+            ]),
+            xy2d: FieldElement51([
+                1059729620568824,
+                2163709103470266,
+                1440302280256872,
+                1769143160546397,
+                869830310425069,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3861316033464273,
+                777277757338816,
+                2101121130363987,
+                550762194946473,
+                1905542338659364,
+            ]),
+            y_minus_x: FieldElement51([
+                2024821921041576,
+                426948675450149,
+                595133284085473,
+                471860860885970,
+                600321679413000,
+            ]),
+            xy2d: FieldElement51([
+                598474602406721,
+                1468128276358244,
+                1191923149557635,
+                1501376424093216,
+                1281662691293476,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1721138489890688,
+                1264336102277790,
+                2684864359106535,
+                1359988423149465,
+                3813671107094695,
+            ]),
+            y_minus_x: FieldElement51([
+                719520245587143,
+                393380711632345,
+                132350400863381,
+                1543271270810729,
+                1819543295798660,
+            ]),
+            xy2d: FieldElement51([
+                396397949784152,
+                1811354474471839,
+                1362679985304303,
+                2117033964846756,
+                498041172552279,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1812471844975748,
+                1856491995543149,
+                126579494584102,
+                3288044672967868,
+                1975108050082549,
+            ]),
+            y_minus_x: FieldElement51([
+                650623932407995,
+                1137551288410575,
+                2125223403615539,
+                1725658013221271,
+                2134892965117796,
+            ]),
+            xy2d: FieldElement51([
+                522584000310195,
+                1241762481390450,
+                1743702789495384,
+                2227404127826575,
+                1686746002148897,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                427904865186293,
+                1703211129693455,
+                1585368107547509,
+                3688784302429584,
+                3012988348299225,
+            ]),
+            y_minus_x: FieldElement51([
+                318101947455002,
+                248138407995851,
+                1481904195303927,
+                309278454311197,
+                1258516760217879,
+            ]),
+            xy2d: FieldElement51([
+                1275068538599310,
+                513726919533379,
+                349926553492294,
+                688428871968420,
+                1702400196000666,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3313663849950481,
+                3213411074010628,
+                2573659446386085,
+                3297400443644764,
+                1985130202504037,
+            ]),
+            y_minus_x: FieldElement51([
+                1558816436882417,
+                1962896332636523,
+                1337709822062152,
+                1501413830776938,
+                294436165831932,
+            ]),
+            xy2d: FieldElement51([
+                818359826554971,
+                1862173000996177,
+                626821592884859,
+                573655738872376,
+                1749691246745455,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1988022651432119,
+                3333911312271288,
+                1834020786104820,
+                3706626690108935,
+                692929915223121,
+            ]),
+            y_minus_x: FieldElement51([
+                2146513703733331,
+                584788900394667,
+                464965657279958,
+                2183973639356127,
+                238371159456790,
+            ]),
+            xy2d: FieldElement51([
+                1129007025494441,
+                2197883144413266,
+                265142755578169,
+                971864464758890,
+                1983715884903702,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1291366624493056,
+                2633256531874362,
+                1711482489312443,
+                1815233647702022,
+                3144079596677715,
+            ]),
+            y_minus_x: FieldElement51([
+                444548969917454,
+                1452286453853356,
+                2113731441506810,
+                645188273895859,
+                810317625309512,
+            ]),
+            xy2d: FieldElement51([
+                2242724082797924,
+                1373354730327868,
+                1006520110883049,
+                2147330369940688,
+                1151816104883620,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3997520014069025,
+                4163522956860564,
+                2056329390702073,
+                2607026987995097,
+                3131032608056347,
+            ]),
+            y_minus_x: FieldElement51([
+                163723479936298,
+                115424889803150,
+                1156016391581227,
+                1894942220753364,
+                1970549419986329,
+            ]),
+            xy2d: FieldElement51([
+                681981452362484,
+                267208874112496,
+                1374683991933094,
+                638600984916117,
+                646178654558546,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2265178468539480,
+                2358037120714814,
+                1944412051589650,
+                4093776581610705,
+                2482502633520820,
+            ]),
+            y_minus_x: FieldElement51([
+                260683893467075,
+                854060306077237,
+                913639551980112,
+                4704576840123,
+                280254810808712,
+            ]),
+            xy2d: FieldElement51([
+                715374893080287,
+                1173334812210491,
+                1806524662079626,
+                1894596008000979,
+                398905715033393,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2751826223412909,
+                3848231101880618,
+                1420380351989369,
+                3237011375206737,
+                392444930785632,
+            ]),
+            y_minus_x: FieldElement51([
+                2096421546958141,
+                1922523000950363,
+                789831022876840,
+                427295144688779,
+                320923973161730,
+            ]),
+            xy2d: FieldElement51([
+                1927770723575450,
+                1485792977512719,
+                1850996108474547,
+                551696031508956,
+                2126047405475647,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2112099158080129,
+                2994370617594963,
+                2258284371762679,
+                1951119898618915,
+                2344890196388664,
+            ]),
+            y_minus_x: FieldElement51([
+                383905201636970,
+                859946997631870,
+                855623867637644,
+                1017125780577795,
+                794250831877809,
+            ]),
+            xy2d: FieldElement51([
+                77571826285752,
+                999304298101753,
+                487841111777762,
+                1038031143212339,
+                339066367948762,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2926794589205781,
+                2517835660016036,
+                826951213393477,
+                1405007746162285,
+                1781791018620876,
+            ]),
+            y_minus_x: FieldElement51([
+                1001412661522686,
+                348196197067298,
+                1666614366723946,
+                888424995032760,
+                580747687801357,
+            ]),
+            xy2d: FieldElement51([
+                1939560076207777,
+                1409892634407635,
+                552574736069277,
+                383854338280405,
+                190706709864139,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2177087163428741,
+                1439255351721944,
+                3459870654068041,
+                2230616362004768,
+                1396886392021913,
+            ]),
+            y_minus_x: FieldElement51([
+                676962063230039,
+                1880275537148808,
+                2046721011602706,
+                888463247083003,
+                1318301552024067,
+            ]),
+            xy2d: FieldElement51([
+                1466980508178206,
+                617045217998949,
+                652303580573628,
+                757303753529064,
+                207583137376902,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3762856566592150,
+                2357202940576524,
+                2745234706458093,
+                1091943425335975,
+                1802717338077427,
+            ]),
+            y_minus_x: FieldElement51([
+                1853982405405128,
+                1878664056251147,
+                1528011020803992,
+                1019626468153565,
+                1128438412189035,
+            ]),
+            xy2d: FieldElement51([
+                1963939888391106,
+                293456433791664,
+                697897559513649,
+                985882796904380,
+                796244541237972,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2668570812315008,
+                2641455366112301,
+                1314476859406755,
+                1749382513022778,
+                3413705412424739,
+            ]),
+            y_minus_x: FieldElement51([
+                1428358296490651,
+                1027115282420478,
+                304840698058337,
+                441410174026628,
+                1819358356278573,
+            ]),
+            xy2d: FieldElement51([
+                204943430200135,
+                1554861433819175,
+                216426658514651,
+                264149070665950,
+                2047097371738319,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1934415182909015,
+                1393285083565062,
+                2768209145458208,
+                3409490548679139,
+                2372839480279515,
+            ]),
+            y_minus_x: FieldElement51([
+                662035583584445,
+                286736105093098,
+                1131773000510616,
+                818494214211439,
+                472943792054479,
+            ]),
+            xy2d: FieldElement51([
+                665784778135882,
+                1893179629898606,
+                808313193813106,
+                276797254706413,
+                1563426179676396,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                945205108984213,
+                2778077376644543,
+                1324180513733565,
+                1666970227868664,
+                2405347422974421,
+            ]),
+            y_minus_x: FieldElement51([
+                2031433403516252,
+                203996615228162,
+                170487168837083,
+                981513604791390,
+                843573964916831,
+            ]),
+            xy2d: FieldElement51([
+                1476570093962618,
+                838514669399805,
+                1857930577281364,
+                2017007352225784,
+                317085545220047,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1461557121912823,
+                1600674043318359,
+                2157134900399597,
+                1670641601940616,
+                2379565397488531,
+            ]),
+            y_minus_x: FieldElement51([
+                1293543509393474,
+                2143624609202546,
+                1058361566797508,
+                214097127393994,
+                946888515472729,
+            ]),
+            xy2d: FieldElement51([
+                357067959932916,
+                1290876214345711,
+                521245575443703,
+                1494975468601005,
+                800942377643885,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2817916472785262,
+                820247422481739,
+                994464017954148,
+                2578957425371613,
+                2344391131796991,
+            ]),
+            y_minus_x: FieldElement51([
+                617256647603209,
+                1652107761099439,
+                1857213046645471,
+                1085597175214970,
+                817432759830522,
+            ]),
+            xy2d: FieldElement51([
+                771808161440705,
+                1323510426395069,
+                680497615846440,
+                851580615547985,
+                1320806384849017,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1219260086131896,
+                2898968820282063,
+                2331400938444953,
+                2161724213426747,
+                2656661710745446,
+            ]),
+            y_minus_x: FieldElement51([
+                1327968293887866,
+                1335500852943256,
+                1401587164534264,
+                558137311952440,
+                1551360549268902,
+            ]),
+            xy2d: FieldElement51([
+                417621685193956,
+                1429953819744454,
+                396157358457099,
+                1940470778873255,
+                214000046234152,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1268047918491954,
+                2172375426948536,
+                1533916099229249,
+                1761293575457130,
+                3842422480712013,
+            ]),
+            y_minus_x: FieldElement51([
+                1627072914981959,
+                2211603081280073,
+                1912369601616504,
+                1191770436221309,
+                2187309757525860,
+            ]),
+            xy2d: FieldElement51([
+                1149147819689533,
+                378692712667677,
+                828475842424202,
+                2218619146419342,
+                70688125792186,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3551539230764990,
+                3690416477138006,
+                3788528892189659,
+                2053896748919837,
+                3260220846276494,
+            ]),
+            y_minus_x: FieldElement51([
+                2040723824657366,
+                399555637875075,
+                632543375452995,
+                872649937008051,
+                1235394727030233,
+            ]),
+            xy2d: FieldElement51([
+                2211311599327900,
+                2139787259888175,
+                938706616835350,
+                12609661139114,
+                2081897930719789,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1324994503390431,
+                2588782144267879,
+                1183998925654176,
+                3343454479598522,
+                2300527487656566,
+            ]),
+            y_minus_x: FieldElement51([
+                1845522914617879,
+                1222198248335542,
+                150841072760134,
+                1927029069940982,
+                1189913404498011,
+            ]),
+            xy2d: FieldElement51([
+                1079559557592645,
+                2215338383666441,
+                1903569501302605,
+                49033973033940,
+                305703433934152,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2346453219102138,
+                3637921163538246,
+                3313930291577009,
+                2288353761164521,
+                3085469462634093,
+            ]),
+            y_minus_x: FieldElement51([
+                1432015813136298,
+                440364795295369,
+                1395647062821501,
+                1976874522764578,
+                934452372723352,
+            ]),
+            xy2d: FieldElement51([
+                1296625309219774,
+                2068273464883862,
+                1858621048097805,
+                1492281814208508,
+                2235868981918946,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1490330266465551,
+                1858795661361448,
+                3688040948655011,
+                2546373032584894,
+                3459939824714180,
+            ]),
+            y_minus_x: FieldElement51([
+                1282462923712748,
+                741885683986255,
+                2027754642827561,
+                518989529541027,
+                1826610009555945,
+            ]),
+            xy2d: FieldElement51([
+                1525827120027511,
+                723686461809551,
+                1597702369236987,
+                244802101764964,
+                1502833890372311,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2365421849929742,
+                3485539881431101,
+                2925909765963743,
+                2114345180342964,
+                2418564326541511,
+            ]),
+            y_minus_x: FieldElement51([
+                2041668749310338,
+                2184405322203901,
+                1633400637611036,
+                2110682505536899,
+                2048144390084644,
+            ]),
+            xy2d: FieldElement51([
+                503058759232932,
+                760293024620937,
+                2027152777219493,
+                666858468148475,
+                1539184379870952,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1916168475367211,
+                3167426246226591,
+                883217071712574,
+                363427871374304,
+                1976029821251593,
+            ]),
+            y_minus_x: FieldElement51([
+                678039535434506,
+                570587290189340,
+                1605302676614120,
+                2147762562875701,
+                1706063797091704,
+            ]),
+            xy2d: FieldElement51([
+                1439489648586438,
+                2194580753290951,
+                832380563557396,
+                561521973970522,
+                584497280718389,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2439789269177838,
+                681223515948274,
+                1933493571072456,
+                1872921007304880,
+                2739962177820919,
+            ]),
+            y_minus_x: FieldElement51([
+                1413466089534451,
+                410844090765630,
+                1397263346404072,
+                408227143123410,
+                1594561803147811,
+            ]),
+            xy2d: FieldElement51([
+                2102170800973153,
+                719462588665004,
+                1479649438510153,
+                1097529543970028,
+                1302363283777685,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3193865531532443,
+                3321113493038208,
+                2007341951411050,
+                2322773230131539,
+                1419433790163705,
+            ]),
+            y_minus_x: FieldElement51([
+                1146565545556377,
+                1661971299445212,
+                406681704748893,
+                564452436406089,
+                1109109865829139,
+            ]),
+            xy2d: FieldElement51([
+                2214421081775077,
+                1165671861210569,
+                1890453018796184,
+                3556249878661,
+                442116172656317,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3005630360306059,
+                1666955059895018,
+                1530775289309243,
+                3371786842789394,
+                2164156153857579,
+            ]),
+            y_minus_x: FieldElement51([
+                615171919212796,
+                1523849404854568,
+                854560460547503,
+                2067097370290715,
+                1765325848586042,
+            ]),
+            xy2d: FieldElement51([
+                1094538949313667,
+                1796592198908825,
+                870221004284388,
+                2025558921863561,
+                1699010892802384,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1951351290725195,
+                1916457206844795,
+                2449824998123274,
+                1909076887557594,
+                1938542290318919,
+            ]),
+            y_minus_x: FieldElement51([
+                1014323197538413,
+                869150639940606,
+                1756009942696599,
+                1334952557375672,
+                1544945379082874,
+            ]),
+            xy2d: FieldElement51([
+                764055910920305,
+                1603590757375439,
+                146805246592357,
+                1843313433854297,
+                954279890114939,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                80113526615731,
+                764536758732259,
+                3306939158785481,
+                2721052465444637,
+                2869697326116762,
+            ]),
+            y_minus_x: FieldElement51([
+                74497112547268,
+                740094153192149,
+                1745254631717581,
+                727713886503130,
+                1283034364416928,
+            ]),
+            xy2d: FieldElement51([
+                525892105991110,
+                1723776830270342,
+                1476444848991936,
+                573789489857760,
+                133864092632978,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2794411533877810,
+                1986812262899320,
+                1162535242465837,
+                2733298779828712,
+                2796400347268869,
+            ]),
+            y_minus_x: FieldElement51([
+                64123227344372,
+                1239927720647794,
+                1360722983445904,
+                222610813654661,
+                62429487187991,
+            ]),
+            xy2d: FieldElement51([
+                1793193323953132,
+                91096687857833,
+                70945970938921,
+                2158587638946380,
+                1537042406482111,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1895854577604590,
+                3646695522634664,
+                1728548428495943,
+                3392664713925397,
+                2815445147288308,
+            ]),
+            y_minus_x: FieldElement51([
+                141358280486863,
+                91435889572504,
+                1087208572552643,
+                1829599652522921,
+                1193307020643647,
+            ]),
+            xy2d: FieldElement51([
+                1611230858525381,
+                950720175540785,
+                499589887488610,
+                2001656988495019,
+                88977313255908,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3440880315164906,
+                2184348804772596,
+                3292618539427567,
+                2018318290311833,
+                1712060030915354,
+            ]),
+            y_minus_x: FieldElement51([
+                873966876953756,
+                1090638350350440,
+                1708559325189137,
+                672344594801910,
+                1320437969700239,
+            ]),
+            xy2d: FieldElement51([
+                1508590048271766,
+                1131769479776094,
+                101550868699323,
+                428297785557897,
+                561791648661744,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3008217384184691,
+                2489682092917849,
+                2136263418594015,
+                1701968045454886,
+                2955512998822720,
+            ]),
+            y_minus_x: FieldElement51([
+                1781187809325462,
+                1697624151492346,
+                1381393690939988,
+                175194132284669,
+                1483054666415238,
+            ]),
+            xy2d: FieldElement51([
+                2175517777364616,
+                708781536456029,
+                955668231122942,
+                1967557500069555,
+                2021208005604118,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3366935780292116,
+                2476017186636029,
+                915967306279221,
+                593866251291540,
+                2813546907893254,
+            ]),
+            y_minus_x: FieldElement51([
+                1443163092879439,
+                391875531646162,
+                2180847134654632,
+                464538543018753,
+                1594098196837178,
+            ]),
+            xy2d: FieldElement51([
+                850858855888869,
+                319436476624586,
+                327807784938441,
+                740785849558761,
+                17128415486016,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2132756334090048,
+                2788047633840893,
+                2300706964962114,
+                2860273011285942,
+                3513489358708031,
+            ]),
+            y_minus_x: FieldElement51([
+                1525176236978354,
+                974205476721062,
+                293436255662638,
+                148269621098039,
+                137961998433963,
+            ]),
+            xy2d: FieldElement51([
+                1121075518299410,
+                2071745529082111,
+                1265567917414828,
+                1648196578317805,
+                496232102750820,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2374121042985030,
+                3274721891178932,
+                2001275453369483,
+                2017441881607947,
+                3245005694463250,
+            ]),
+            y_minus_x: FieldElement51([
+                654925550560074,
+                1168810995576858,
+                575655959430926,
+                905758704861388,
+                496774564663534,
+            ]),
+            xy2d: FieldElement51([
+                1954109525779738,
+                2117022646152485,
+                338102630417180,
+                1194140505732026,
+                107881734943492,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1714785840001267,
+                4288299832366837,
+                1876380234251965,
+                2056717182974196,
+                1645855254384642,
+            ]),
+            y_minus_x: FieldElement51([
+                106431476499341,
+                62482972120563,
+                1513446655109411,
+                807258751769522,
+                538491469114,
+            ]),
+            xy2d: FieldElement51([
+                2002850762893643,
+                1243624520538135,
+                1486040410574605,
+                2184752338181213,
+                378495998083531,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                922510868424903,
+                1089502620807680,
+                402544072617374,
+                1131446598479839,
+                1290278588136533,
+            ]),
+            y_minus_x: FieldElement51([
+                1867998812076769,
+                715425053580701,
+                39968586461416,
+                2173068014586163,
+                653822651801304,
+            ]),
+            xy2d: FieldElement51([
+                162892278589453,
+                182585796682149,
+                75093073137630,
+                497037941226502,
+                133871727117371,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                4166396390264918,
+                1608999621851577,
+                1987629837704609,
+                1519655314857977,
+                1819193753409464,
+            ]),
+            y_minus_x: FieldElement51([
+                1949315551096831,
+                1069003344994464,
+                1939165033499916,
+                1548227205730856,
+                1933767655861407,
+            ]),
+            xy2d: FieldElement51([
+                1730519386931635,
+                1393284965610134,
+                1597143735726030,
+                416032382447158,
+                1429665248828629,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                360275475604546,
+                2799635544748326,
+                2467160717872776,
+                2848446553564254,
+                2584509464110332,
+            ]),
+            y_minus_x: FieldElement51([
+                47602113726801,
+                1522314509708010,
+                437706261372925,
+                814035330438027,
+                335930650933545,
+            ]),
+            xy2d: FieldElement51([
+                1291597595523886,
+                1058020588994081,
+                402837842324045,
+                1363323695882781,
+                2105763393033193,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2361321796251793,
+                3967057562270386,
+                1112231216891515,
+                2046641005101484,
+                2386048970842261,
+            ]),
+            y_minus_x: FieldElement51([
+                2156991030936798,
+                2227544497153325,
+                1869050094431622,
+                754875860479115,
+                1754242344267058,
+            ]),
+            xy2d: FieldElement51([
+                1846089562873800,
+                98894784984326,
+                1412430299204844,
+                171351226625762,
+                1100604760929008,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2335972195815721,
+                2751510784385293,
+                425749630620777,
+                1762872794206857,
+                2864642415813208,
+            ]),
+            y_minus_x: FieldElement51([
+                868309334532756,
+                1703010512741873,
+                1952690008738057,
+                4325269926064,
+                2071083554962116,
+            ]),
+            xy2d: FieldElement51([
+                523094549451158,
+                401938899487815,
+                1407690589076010,
+                2022387426254453,
+                158660516411257,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                612867287630009,
+                2700012425789062,
+                2823428891104443,
+                1466796750919375,
+                1728478129663858,
+            ]),
+            y_minus_x: FieldElement51([
+                1723848973783452,
+                2208822520534681,
+                1718748322776940,
+                1974268454121942,
+                1194212502258141,
+            ]),
+            xy2d: FieldElement51([
+                1254114807944608,
+                977770684047110,
+                2010756238954993,
+                1783628927194099,
+                1525962994408256,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2484263871921055,
+                1948628555342433,
+                1835348780427694,
+                1031609499437291,
+                2316271920603621,
+            ]),
+            y_minus_x: FieldElement51([
+                767338676040683,
+                754089548318405,
+                1523192045639075,
+                435746025122062,
+                512692508440385,
+            ]),
+            xy2d: FieldElement51([
+                1255955808701983,
+                1700487367990941,
+                1166401238800299,
+                1175121994891534,
+                1190934801395380,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2600943821853521,
+                1337012557669161,
+                1475912332999108,
+                3573418268585706,
+                2299411105589567,
+            ]),
+            y_minus_x: FieldElement51([
+                877519947135419,
+                2172838026132651,
+                272304391224129,
+                1655143327559984,
+                886229406429814,
+            ]),
+            xy2d: FieldElement51([
+                375806028254706,
+                214463229793940,
+                572906353144089,
+                572168269875638,
+                697556386112979,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1168827102357825,
+                823864273033637,
+                4323338565789945,
+                788062026895923,
+                2851378154428610,
+            ]),
+            y_minus_x: FieldElement51([
+                1948116082078088,
+                2054898304487796,
+                2204939184983900,
+                210526805152138,
+                786593586607626,
+            ]),
+            xy2d: FieldElement51([
+                1915320147894736,
+                156481169009469,
+                655050471180417,
+                592917090415421,
+                2165897438660879,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1726336468579724,
+                1119932070398949,
+                1929199510967666,
+                2285718602008207,
+                1836837863503149,
+            ]),
+            y_minus_x: FieldElement51([
+                829996854845988,
+                217061778005138,
+                1686565909803640,
+                1346948817219846,
+                1723823550730181,
+            ]),
+            xy2d: FieldElement51([
+                384301494966394,
+                687038900403062,
+                2211195391021739,
+                254684538421383,
+                1245698430589680,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1247567493562669,
+                4229981908141095,
+                2435671288478202,
+                806570235643434,
+                2540261331753164,
+            ]),
+            y_minus_x: FieldElement51([
+                1449077384734201,
+                38285445457996,
+                2136537659177832,
+                2146493000841573,
+                725161151123125,
+            ]),
+            xy2d: FieldElement51([
+                1201928866368855,
+                800415690605445,
+                1703146756828343,
+                997278587541744,
+                1858284414104014,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2608268623334125,
+                3034173730618399,
+                1718002439402869,
+                3644022065904502,
+                663171266061950,
+            ]),
+            y_minus_x: FieldElement51([
+                759628738230460,
+                1012693474275852,
+                353780233086498,
+                246080061387552,
+                2030378857679162,
+            ]),
+            xy2d: FieldElement51([
+                2040672435071076,
+                888593182036908,
+                1298443657189359,
+                1804780278521327,
+                354070726137060,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1894938527423184,
+                3715012855162525,
+                2726210319182898,
+                2499094776718546,
+                877975941029127,
+            ]),
+            y_minus_x: FieldElement51([
+                207937160991127,
+                12966911039119,
+                820997788283092,
+                1010440472205286,
+                1701372890140810,
+            ]),
+            xy2d: FieldElement51([
+                218882774543183,
+                533427444716285,
+                1233243976733245,
+                435054256891319,
+                1509568989549904,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                4140638349397055,
+                3303977572025869,
+                3465353617009382,
+                2420981822812579,
+                2715174081801119,
+            ]),
+            y_minus_x: FieldElement51([
+                299137589460312,
+                1594371588983567,
+                868058494039073,
+                257771590636681,
+                1805012993142921,
+            ]),
+            xy2d: FieldElement51([
+                1806842755664364,
+                2098896946025095,
+                1356630998422878,
+                1458279806348064,
+                347755825962072,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1402334161391744,
+                3811883484731547,
+                1008585416617746,
+                1147797150908892,
+                1420416683642459,
+            ]),
+            y_minus_x: FieldElement51([
+                665506704253369,
+                273770475169863,
+                799236974202630,
+                848328990077558,
+                1811448782807931,
+            ]),
+            xy2d: FieldElement51([
+                1468412523962641,
+                771866649897997,
+                1931766110147832,
+                799561180078482,
+                524837559150077,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2223212657821831,
+                2882216061048914,
+                2144451165500327,
+                3068710944633039,
+                3276150872095279,
+            ]),
+            y_minus_x: FieldElement51([
+                1266603897524861,
+                156378408858100,
+                1275649024228779,
+                447738405888420,
+                253186462063095,
+            ]),
+            xy2d: FieldElement51([
+                2022215964509735,
+                136144366993649,
+                1800716593296582,
+                1193970603800203,
+                871675847064218,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1862751661970309,
+                851596246739884,
+                1519315554814041,
+                3794598280232697,
+                3669775149586767,
+            ]),
+            y_minus_x: FieldElement51([
+                1228168094547481,
+                334133883362894,
+                587567568420081,
+                433612590281181,
+                603390400373205,
+            ]),
+            xy2d: FieldElement51([
+                121893973206505,
+                1843345804916664,
+                1703118377384911,
+                497810164760654,
+                101150811654673,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2710146069631716,
+                2542709749304591,
+                1452768413850678,
+                2802722688939463,
+                1537286854336537,
+            ]),
+            y_minus_x: FieldElement51([
+                584322311184395,
+                380661238802118,
+                114839394528060,
+                655082270500073,
+                2111856026034852,
+            ]),
+            xy2d: FieldElement51([
+                996965581008991,
+                2148998626477022,
+                1012273164934654,
+                1073876063914522,
+                1688031788934939,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3175286832534829,
+                2085106799623354,
+                2779882615305384,
+                1606206360876187,
+                2987706905397772,
+            ]),
+            y_minus_x: FieldElement51([
+                1697697887804317,
+                1335343703828273,
+                831288615207040,
+                949416685250051,
+                288760277392022,
+            ]),
+            xy2d: FieldElement51([
+                1419122478109648,
+                1325574567803701,
+                602393874111094,
+                2107893372601700,
+                1314159682671307,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2201150872731785,
+                2180241023425241,
+                2349463270108411,
+                1633405770247823,
+                3100744856129234,
+            ]),
+            y_minus_x: FieldElement51([
+                1173339555550611,
+                818605084277583,
+                47521504364289,
+                924108720564965,
+                735423405754506,
+            ]),
+            xy2d: FieldElement51([
+                830104860549448,
+                1886653193241086,
+                1600929509383773,
+                1475051275443631,
+                286679780900937,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3828911108518224,
+                3282698983453994,
+                2396700729978777,
+                4216472406664814,
+                2820189914640497,
+            ]),
+            y_minus_x: FieldElement51([
+                278388655910247,
+                487143369099838,
+                927762205508727,
+                181017540174210,
+                1616886700741287,
+            ]),
+            xy2d: FieldElement51([
+                1191033906638969,
+                940823957346562,
+                1606870843663445,
+                861684761499847,
+                658674867251089,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1875032594195527,
+                1427106132796197,
+                2976536204647406,
+                3153660325729987,
+                2887068310954007,
+            ]),
+            y_minus_x: FieldElement51([
+                622869792298357,
+                1903919278950367,
+                1922588621661629,
+                1520574711600434,
+                1087100760174640,
+            ]),
+            xy2d: FieldElement51([
+                25465949416618,
+                1693639527318811,
+                1526153382657203,
+                125943137857169,
+                145276964043999,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2466539671654587,
+                920212862967914,
+                4191701364657517,
+                3463662605460468,
+                2336897329405367,
+            ]),
+            y_minus_x: FieldElement51([
+                2006245852772938,
+                734762734836159,
+                254642929763427,
+                1406213292755966,
+                239303749517686,
+            ]),
+            xy2d: FieldElement51([
+                1619678837192149,
+                1919424032779215,
+                1357391272956794,
+                1525634040073113,
+                1310226789796241,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3292563523447371,
+                1704449869235351,
+                2857062884141577,
+                1998838089036354,
+                1312142911487502,
+            ]),
+            y_minus_x: FieldElement51([
+                1996723311435669,
+                1844342766567060,
+                985455700466044,
+                1165924681400960,
+                311508689870129,
+            ]),
+            xy2d: FieldElement51([
+                43173156290518,
+                2202883069785309,
+                1137787467085917,
+                1733636061944606,
+                1394992037553852,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                670078326344559,
+                2807454838744604,
+                2723759199967685,
+                2141455487356408,
+                849015953823125,
+            ]),
+            y_minus_x: FieldElement51([
+                2197214573372804,
+                794254097241315,
+                1030190060513737,
+                267632515541902,
+                2040478049202624,
+            ]),
+            xy2d: FieldElement51([
+                1812516004670529,
+                1609256702920783,
+                1706897079364493,
+                258549904773295,
+                996051247540686,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1540374301420565,
+                1764656898914615,
+                1810104162020396,
+                3175608592848336,
+                2916189887881826,
+            ]),
+            y_minus_x: FieldElement51([
+                1323460699404750,
+                1262690757880991,
+                871777133477900,
+                1060078894988977,
+                1712236889662886,
+            ]),
+            xy2d: FieldElement51([
+                1696163952057966,
+                1391710137550823,
+                608793846867416,
+                1034391509472039,
+                1780770894075012,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1367603834210822,
+                4383788460268472,
+                890353773628143,
+                1908908219165595,
+                2522636708938139,
+            ]),
+            y_minus_x: FieldElement51([
+                597536315471731,
+                40375058742586,
+                1942256403956049,
+                1185484645495932,
+                312666282024145,
+            ]),
+            xy2d: FieldElement51([
+                1919411405316294,
+                1234508526402192,
+                1066863051997083,
+                1008444703737597,
+                1348810787701552,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2102881477513865,
+                3822074379630609,
+                1573617900503707,
+                2270462449417831,
+                2232324307922097,
+            ]),
+            y_minus_x: FieldElement51([
+                1853931367696942,
+                8107973870707,
+                350214504129299,
+                775206934582587,
+                1752317649166792,
+            ]),
+            xy2d: FieldElement51([
+                1417148368003523,
+                721357181628282,
+                505725498207811,
+                373232277872983,
+                261634707184480,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2186733281493248,
+                2250694917008620,
+                1014829812957440,
+                2731797975137637,
+                2335366007561721,
+            ]),
+            y_minus_x: FieldElement51([
+                1268116367301224,
+                560157088142809,
+                802626839600444,
+                2210189936605713,
+                1129993785579988,
+            ]),
+            xy2d: FieldElement51([
+                615183387352312,
+                917611676109240,
+                878893615973325,
+                978940963313282,
+                938686890583575,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                522024729211672,
+                3296859129001056,
+                1892245413707789,
+                1907891107684253,
+                2059998109500714,
+            ]),
+            y_minus_x: FieldElement51([
+                1799679152208884,
+                912132775900387,
+                25967768040979,
+                432130448590461,
+                274568990261996,
+            ]),
+            xy2d: FieldElement51([
+                98698809797682,
+                2144627600856209,
+                1907959298569602,
+                811491302610148,
+                1262481774981493,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1791451399743152,
+                1713538728337276,
+                2370149810942738,
+                1882306388849953,
+                158235232210248,
+            ]),
+            y_minus_x: FieldElement51([
+                1217809823321928,
+                2173947284933160,
+                1986927836272325,
+                1388114931125539,
+                12686131160169,
+            ]),
+            xy2d: FieldElement51([
+                1650875518872272,
+                1136263858253897,
+                1732115601395988,
+                734312880662190,
+                1252904681142109,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2624786269799113,
+                2777230729143418,
+                2116279931702134,
+                2753222527273063,
+                1907002872974924,
+            ]),
+            y_minus_x: FieldElement51([
+                803147181835288,
+                868941437997146,
+                316299302989663,
+                943495589630550,
+                571224287904572,
+            ]),
+            xy2d: FieldElement51([
+                227742695588364,
+                1776969298667369,
+                628602552821802,
+                457210915378118,
+                2041906378111140,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                815000523470260,
+                3164885502413555,
+                3303859931956420,
+                1345536665214222,
+                541623413135555,
+            ]),
+            y_minus_x: FieldElement51([
+                1580216071604333,
+                1877997504342444,
+                857147161260913,
+                703522726778478,
+                2182763974211603,
+            ]),
+            xy2d: FieldElement51([
+                1870080310923419,
+                71988220958492,
+                1783225432016732,
+                615915287105016,
+                1035570475990230,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2982787564515398,
+                857613889540279,
+                1083813157271766,
+                1002817255970169,
+                1719228484436074,
+            ]),
+            y_minus_x: FieldElement51([
+                377616581647602,
+                1581980403078513,
+                804044118130621,
+                2034382823044191,
+                643844048472185,
+            ]),
+            xy2d: FieldElement51([
+                176957326463017,
+                1573744060478586,
+                528642225008045,
+                1816109618372371,
+                1515140189765006,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1888911448245718,
+                3638910709296328,
+                4176303607751676,
+                1731539523700948,
+                2230378382645454,
+            ]),
+            y_minus_x: FieldElement51([
+                443392177002051,
+                233793396845137,
+                2199506622312416,
+                1011858706515937,
+                974676837063129,
+            ]),
+            xy2d: FieldElement51([
+                1846351103143623,
+                1949984838808427,
+                671247021915253,
+                1946756846184401,
+                1929296930380217,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                849646212451983,
+                1410198775302919,
+                2325567699868943,
+                1641663456615811,
+                3014056086137659,
+            ]),
+            y_minus_x: FieldElement51([
+                692017667358279,
+                723305578826727,
+                1638042139863265,
+                748219305990306,
+                334589200523901,
+            ]),
+            xy2d: FieldElement51([
+                22893968530686,
+                2235758574399251,
+                1661465835630252,
+                925707319443452,
+                1203475116966621,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3053098849470395,
+                3985092410411378,
+                1664508947088595,
+                2719548934677170,
+                3899298398220870,
+            ]),
+            y_minus_x: FieldElement51([
+                903105258014366,
+                427141894933047,
+                561187017169777,
+                1884330244401954,
+                1914145708422219,
+            ]),
+            xy2d: FieldElement51([
+                1344191060517578,
+                1960935031767890,
+                1518838929955259,
+                1781502350597190,
+                1564784025565682,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2925523165433334,
+                1979969272514922,
+                3427087126180756,
+                1187589090978665,
+                1881897672213940,
+            ]),
+            y_minus_x: FieldElement51([
+                1917185587363432,
+                1098342571752737,
+                5935801044414,
+                2000527662351839,
+                1538640296181569,
+            ]),
+            xy2d: FieldElement51([
+                2495540013192,
+                678856913479236,
+                224998292422872,
+                219635787698590,
+                1972465269000940,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                271413961212179,
+                3604851875156899,
+                2596511104968730,
+                2014925838520661,
+                2006221033113941,
+            ]),
+            y_minus_x: FieldElement51([
+                194583029968109,
+                514316781467765,
+                829677956235672,
+                1676415686873082,
+                810104584395840,
+            ]),
+            xy2d: FieldElement51([
+                1980510813313589,
+                1948645276483975,
+                152063780665900,
+                129968026417582,
+                256984195613935,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1860190562533083,
+                1936576191345085,
+                2712900106391212,
+                1811043097042829,
+                3209286562992083,
+            ]),
+            y_minus_x: FieldElement51([
+                796664815624365,
+                1543160838872951,
+                1500897791837765,
+                1667315977988401,
+                599303877030711,
+            ]),
+            xy2d: FieldElement51([
+                1151480509533204,
+                2136010406720455,
+                738796060240027,
+                319298003765044,
+                1150614464349587,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1731069268103131,
+                2987442261301335,
+                1364750481334267,
+                2669032653668119,
+                3178908082812908,
+            ]),
+            y_minus_x: FieldElement51([
+                1017222050227968,
+                1987716148359,
+                2234319589635701,
+                621282683093392,
+                2132553131763026,
+            ]),
+            xy2d: FieldElement51([
+                1567828528453324,
+                1017807205202360,
+                565295260895298,
+                829541698429100,
+                307243822276582,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                249079270936229,
+                1501514259790706,
+                3199709537890096,
+                944551802437486,
+                2804458577667728,
+            ]),
+            y_minus_x: FieldElement51([
+                2089966982947227,
+                1854140343916181,
+                2151980759220007,
+                2139781292261749,
+                158070445864917,
+            ]),
+            xy2d: FieldElement51([
+                1338766321464554,
+                1906702607371284,
+                1519569445519894,
+                115384726262267,
+                1393058953390992,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3616421371950629,
+                3764188048593604,
+                1926731583198685,
+                2041482526432505,
+                3172200936019022,
+            ]),
+            y_minus_x: FieldElement51([
+                1884844597333588,
+                601480070269079,
+                620203503079537,
+                1079527400117915,
+                1202076693132015,
+            ]),
+            xy2d: FieldElement51([
+                840922919763324,
+                727955812569642,
+                1303406629750194,
+                522898432152867,
+                294161410441865,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2605560604520539,
+                1598361541848742,
+                3374705511887547,
+                4174333403844152,
+                2670907514351827,
+            ]),
+            y_minus_x: FieldElement51([
+                359856369838236,
+                180914355488683,
+                861726472646627,
+                218807937262986,
+                575626773232501,
+            ]),
+            xy2d: FieldElement51([
+                755467689082474,
+                909202735047934,
+                730078068932500,
+                936309075711518,
+                2007798262842972,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1609384177904054,
+                2614544999293875,
+                1335318541768200,
+                3052765584121496,
+                2799677792952659,
+            ]),
+            y_minus_x: FieldElement51([
+                984339177776787,
+                815727786505884,
+                1645154585713747,
+                1659074964378553,
+                1686601651984156,
+            ]),
+            xy2d: FieldElement51([
+                1697863093781930,
+                599794399429786,
+                1104556219769607,
+                830560774794755,
+                12812858601017,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1168737550514982,
+                897832437380552,
+                463140296333799,
+                2554364413707795,
+                2008360505135500,
+            ]),
+            y_minus_x: FieldElement51([
+                1856930662813910,
+                678090852002597,
+                1920179140755167,
+                1259527833759868,
+                55540971895511,
+            ]),
+            xy2d: FieldElement51([
+                1158643631044921,
+                476554103621892,
+                178447851439725,
+                1305025542653569,
+                103433927680625,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2176793111709008,
+                3828525530035639,
+                2009350167273522,
+                2012390194631546,
+                2125297410909580,
+            ]),
+            y_minus_x: FieldElement51([
+                825403285195098,
+                2144208587560784,
+                1925552004644643,
+                1915177840006985,
+                1015952128947864,
+            ]),
+            xy2d: FieldElement51([
+                1807108316634472,
+                1534392066433717,
+                347342975407218,
+                1153820745616376,
+                7375003497471,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3234860815484973,
+                2683011703586488,
+                2201903782961092,
+                3069193724749589,
+                2214616493042166,
+            ]),
+            y_minus_x: FieldElement51([
+                228567918409756,
+                865093958780220,
+                358083886450556,
+                159617889659320,
+                1360637926292598,
+            ]),
+            xy2d: FieldElement51([
+                234147501399755,
+                2229469128637390,
+                2175289352258889,
+                1397401514549353,
+                1885288963089922,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3363562226636810,
+                2504649386192636,
+                3300514047508588,
+                2397910909286693,
+                1237505378776769,
+            ]),
+            y_minus_x: FieldElement51([
+                1113790697840279,
+                1051167139966244,
+                1045930658550944,
+                2011366241542643,
+                1686166824620755,
+            ]),
+            xy2d: FieldElement51([
+                1054097349305049,
+                1872495070333352,
+                182121071220717,
+                1064378906787311,
+                100273572924182,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3558210666856834,
+                1627717417672446,
+                2302783034773665,
+                1109249951172249,
+                3122001602766640,
+            ]),
+            y_minus_x: FieldElement51([
+                104233794644221,
+                1548919791188248,
+                2224541913267306,
+                2054909377116478,
+                1043803389015153,
+            ]),
+            xy2d: FieldElement51([
+                216762189468802,
+                707284285441622,
+                190678557969733,
+                973969342604308,
+                1403009538434867,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3530824104723725,
+                2596576648903557,
+                2525521909702446,
+                4086000250496689,
+                634517197663803,
+            ]),
+            y_minus_x: FieldElement51([
+                343805853118335,
+                1302216857414201,
+                566872543223541,
+                2051138939539004,
+                321428858384280,
+            ]),
+            xy2d: FieldElement51([
+                470067171324852,
+                1618629234173951,
+                2000092177515639,
+                7307679772789,
+                1117521120249968,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2529951391976704,
+                1810282338562946,
+                1771599529530998,
+                3635459223356879,
+                2937173228157088,
+            ]),
+            y_minus_x: FieldElement51([
+                577009397403102,
+                1791440261786291,
+                2177643735971638,
+                174546149911960,
+                1412505077782326,
+            ]),
+            xy2d: FieldElement51([
+                893719721537457,
+                1201282458018197,
+                1522349501711173,
+                58011597740583,
+                1130406465887139,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                412607348255434,
+                1280455764199780,
+                2233277987330768,
+                2265979894086913,
+                2583384512102412,
+            ]),
+            y_minus_x: FieldElement51([
+                262483770854550,
+                990511055108216,
+                526885552771698,
+                571664396646158,
+                354086190278723,
+            ]),
+            xy2d: FieldElement51([
+                1820352417585487,
+                24495617171480,
+                1547899057533253,
+                10041836186225,
+                480457105094042,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2023310314989233,
+                2889705151211129,
+                2106474638900686,
+                2809620524769320,
+                1687858215057825,
+            ]),
+            y_minus_x: FieldElement51([
+                1144168702609745,
+                604444390410187,
+                1544541121756138,
+                1925315550126027,
+                626401428894002,
+            ]),
+            xy2d: FieldElement51([
+                1922168257351784,
+                2018674099908659,
+                1776454117494445,
+                956539191509034,
+                36031129147635,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2796444352433270,
+                1039872944430373,
+                3128550222815858,
+                2962457525011798,
+                3468752501170219,
+            ]),
+            y_minus_x: FieldElement51([
+                58242421545916,
+                2035812695641843,
+                2118491866122923,
+                1191684463816273,
+                46921517454099,
+            ]),
+            xy2d: FieldElement51([
+                272268252444639,
+                1374166457774292,
+                2230115177009552,
+                1053149803909880,
+                1354288411641016,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1857910905368338,
+                1754729879288912,
+                3137745277795125,
+                1516096106802165,
+                1602902393369811,
+            ]),
+            y_minus_x: FieldElement51([
+                1193437069800958,
+                901107149704790,
+                999672920611411,
+                477584824802207,
+                364239578697845,
+            ]),
+            xy2d: FieldElement51([
+                886299989548838,
+                1538292895758047,
+                1590564179491896,
+                1944527126709657,
+                837344427345298,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3006358179063534,
+                1712186480903617,
+                3955456640022779,
+                3002110732175033,
+                2770795853936147,
+            ]),
+            y_minus_x: FieldElement51([
+                1309847803895382,
+                1462151862813074,
+                211370866671570,
+                1544595152703681,
+                1027691798954090,
+            ]),
+            xy2d: FieldElement51([
+                803217563745370,
+                1884799722343599,
+                1357706345069218,
+                2244955901722095,
+                730869460037413,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2941099284981214,
+                1831210565161070,
+                3626987155270686,
+                3358084791231418,
+                1893781834054268,
+            ]),
+            y_minus_x: FieldElement51([
+                696351368613042,
+                1494385251239250,
+                738037133616932,
+                636385507851544,
+                927483222611406,
+            ]),
+            xy2d: FieldElement51([
+                1949114198209333,
+                1104419699537997,
+                783495707664463,
+                1747473107602770,
+                2002634765788641,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1607325776830197,
+                2782683755100581,
+                1451089452727894,
+                3833490970768671,
+                496100432831153,
+            ]),
+            y_minus_x: FieldElement51([
+                1068900648804224,
+                2006891997072550,
+                1134049269345549,
+                1638760646180091,
+                2055396084625778,
+            ]),
+            xy2d: FieldElement51([
+                2222475519314561,
+                1870703901472013,
+                1884051508440561,
+                1344072275216753,
+                1318025677799069,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                155711679280637,
+                681100400509288,
+                389811735211209,
+                2135723811340709,
+                2660533024889373,
+            ]),
+            y_minus_x: FieldElement51([
+                7813206966729,
+                194444201427550,
+                2071405409526507,
+                1065605076176312,
+                1645486789731291,
+            ]),
+            xy2d: FieldElement51([
+                16625790644959,
+                1647648827778410,
+                1579910185572704,
+                436452271048548,
+                121070048451050,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3289062842237779,
+                2820185594063076,
+                2549752917829677,
+                3810384325616458,
+                2238221839292470,
+            ]),
+            y_minus_x: FieldElement51([
+                190565267697443,
+                672855706028058,
+                338796554369226,
+                337687268493904,
+                853246848691734,
+            ]),
+            xy2d: FieldElement51([
+                1763863028400139,
+                766498079432444,
+                1321118624818005,
+                69494294452268,
+                858786744165651,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3543856582248253,
+                1456632109855637,
+                3352431060735432,
+                1386133165675320,
+                3484698163879000,
+            ]),
+            y_minus_x: FieldElement51([
+                366253102478259,
+                525676242508811,
+                1449610995265438,
+                1183300845322183,
+                185960306491545,
+            ]),
+            xy2d: FieldElement51([
+                28315355815982,
+                460422265558930,
+                1799675876678724,
+                1969256312504498,
+                1051823843138725,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2408714813047231,
+                3857948219405196,
+                1665208410108429,
+                2569443092377519,
+                1383783705665319,
+            ]),
+            y_minus_x: FieldElement51([
+                54684536365732,
+                2210010038536222,
+                1194984798155308,
+                535239027773705,
+                1516355079301361,
+            ]),
+            xy2d: FieldElement51([
+                1484387703771650,
+                198537510937949,
+                2186282186359116,
+                617687444857508,
+                647477376402122,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2147715541830533,
+                2751832352131065,
+                2898179830570073,
+                2604027669016369,
+                1488268620408051,
+            ]),
+            y_minus_x: FieldElement51([
+                159386186465542,
+                1877626593362941,
+                618737197060512,
+                1026674284330807,
+                1158121760792685,
+            ]),
+            xy2d: FieldElement51([
+                1744544377739822,
+                1964054180355661,
+                1685781755873170,
+                2169740670377448,
+                1286112621104591,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2333777063470241,
+                3919742931398333,
+                3920783633320113,
+                1605016835177614,
+                1353960708075544,
+            ]),
+            y_minus_x: FieldElement51([
+                1602253788689063,
+                439542044889886,
+                2220348297664483,
+                657877410752869,
+                157451572512238,
+            ]),
+            xy2d: FieldElement51([
+                1029287186166717,
+                65860128430192,
+                525298368814832,
+                1491902500801986,
+                1461064796385400,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2660016802414475,
+                2121095722306988,
+                913562102267595,
+                1879708920318308,
+                2492861262121979,
+            ]),
+            y_minus_x: FieldElement51([
+                1185483484383269,
+                1356339572588553,
+                584932367316448,
+                102132779946470,
+                1792922621116791,
+            ]),
+            xy2d: FieldElement51([
+                1966196870701923,
+                2230044620318636,
+                1425982460745905,
+                261167817826569,
+                46517743394330,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2358877405280588,
+                3136759755857592,
+                2279106683482647,
+                2224911448949389,
+                3216151871930471,
+            ]),
+            y_minus_x: FieldElement51([
+                1730194207717538,
+                431790042319772,
+                1831515233279467,
+                1372080552768581,
+                1074513929381760,
+            ]),
+            xy2d: FieldElement51([
+                1450880638731607,
+                1019861580989005,
+                1229729455116861,
+                1174945729836143,
+                826083146840706,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1899935429242705,
+                1602068751520477,
+                940583196550370,
+                2334230882739107,
+                1540863155745695,
+            ]),
+            y_minus_x: FieldElement51([
+                2136688454840028,
+                2099509000964294,
+                1690800495246475,
+                1217643678575476,
+                828720645084218,
+            ]),
+            xy2d: FieldElement51([
+                765548025667841,
+                462473984016099,
+                998061409979798,
+                546353034089527,
+                2212508972466858,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2298375097456408,
+                3144370785258318,
+                1281983193144089,
+                1491520128287375,
+                75847005908304,
+            ]),
+            y_minus_x: FieldElement51([
+                1801436127943107,
+                1734436817907890,
+                1268728090345068,
+                167003097070711,
+                2233597765834956,
+            ]),
+            xy2d: FieldElement51([
+                1997562060465113,
+                1048700225534011,
+                7615603985628,
+                1855310849546841,
+                2242557647635213,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1161017320376250,
+                2744424393854291,
+                2169815802355236,
+                3228296595417790,
+                1770879511019628,
+            ]),
+            y_minus_x: FieldElement51([
+                1357044908364776,
+                729130645262438,
+                1762469072918979,
+                1365633616878458,
+                181282906404941,
+            ]),
+            xy2d: FieldElement51([
+                1080413443139865,
+                1155205815510486,
+                1848782073549786,
+                622566975152580,
+                124965574467971,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1184526762066993,
+                247622751762817,
+                2943928830891604,
+                3071818503097743,
+                2188697339828084,
+            ]),
+            y_minus_x: FieldElement51([
+                2020536369003019,
+                202261491735136,
+                1053169669150884,
+                2056531979272544,
+                778165514694311,
+            ]),
+            xy2d: FieldElement51([
+                237404399610207,
+                1308324858405118,
+                1229680749538400,
+                720131409105291,
+                1958958863624906,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2767383321724075,
+                2269456792542436,
+                1717918437373988,
+                1568052070792483,
+                2298775616809171,
+            ]),
+            y_minus_x: FieldElement51([
+                281527309158085,
+                36970532401524,
+                866906920877543,
+                2222282602952734,
+                1289598729589882,
+            ]),
+            xy2d: FieldElement51([
+                1278207464902042,
+                494742455008756,
+                1262082121427081,
+                1577236621659884,
+                1888786707293291,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                353042527954210,
+                1830056151907359,
+                1111731275799225,
+                2426760769524072,
+                404312815582674,
+            ]),
+            y_minus_x: FieldElement51([
+                2064251142068628,
+                1666421603389706,
+                1419271365315441,
+                468767774902855,
+                191535130366583,
+            ]),
+            xy2d: FieldElement51([
+                1716987058588002,
+                1859366439773457,
+                1767194234188234,
+                64476199777924,
+                1117233614485261,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3236091949205521,
+                2386938060636506,
+                2220652137473166,
+                1722843421165029,
+                2442282371698157,
+            ]),
+            y_minus_x: FieldElement51([
+                298845952651262,
+                1166086588952562,
+                1179896526238434,
+                1347812759398693,
+                1412945390096208,
+            ]),
+            xy2d: FieldElement51([
+                1143239552672925,
+                906436640714209,
+                2177000572812152,
+                2075299936108548,
+                325186347798433,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2972824668060020,
+                2936287674948563,
+                3625238557779406,
+                2193186935276994,
+                1387043709851261,
+            ]),
+            y_minus_x: FieldElement51([
+                418098668140962,
+                715065997721283,
+                1471916138376055,
+                2168570337288357,
+                937812682637044,
+            ]),
+            xy2d: FieldElement51([
+                1043584187226485,
+                2143395746619356,
+                2209558562919611,
+                482427979307092,
+                847556718384018,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1248731221520740,
+                1465200936117687,
+                2792603306395388,
+                2304778448366139,
+                2513234303861356,
+            ]),
+            y_minus_x: FieldElement51([
+                1057329623869501,
+                620334067429122,
+                461700859268034,
+                2012481616501857,
+                297268569108938,
+            ]),
+            xy2d: FieldElement51([
+                1055352180870759,
+                1553151421852298,
+                1510903185371259,
+                1470458349428097,
+                1226259419062731,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3744788603986897,
+                3042126439258578,
+                3441906842094992,
+                3641194565844440,
+                3872208010289441,
+            ]),
+            y_minus_x: FieldElement51([
+                47000654413729,
+                1004754424173864,
+                1868044813557703,
+                173236934059409,
+                588771199737015,
+            ]),
+            xy2d: FieldElement51([
+                30498470091663,
+                1082245510489825,
+                576771653181956,
+                806509986132686,
+                1317634017056939,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2672107869436803,
+                3745154677001249,
+                2417006535213335,
+                4136645508605033,
+                2065456951573058,
+            ]),
+            y_minus_x: FieldElement51([
+                1115636332012334,
+                1854340990964155,
+                83792697369514,
+                1972177451994021,
+                457455116057587,
+            ]),
+            xy2d: FieldElement51([
+                1698968457310898,
+                1435137169051090,
+                1083661677032510,
+                938363267483709,
+                340103887207182,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1995325341336555,
+                911500251774648,
+                2415810569088940,
+                855378419194761,
+                3825401211214090,
+            ]),
+            y_minus_x: FieldElement51([
+                241719380661528,
+                310028521317150,
+                1215881323380194,
+                1408214976493624,
+                2141142156467363,
+            ]),
+            xy2d: FieldElement51([
+                1315157046163473,
+                727368447885818,
+                1363466668108618,
+                1668921439990361,
+                1398483384337907,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2326829491984875,
+                3267188020145720,
+                1849729037055211,
+                4191614430138232,
+                2696204044080201,
+            ]),
+            y_minus_x: FieldElement51([
+                2053597130993710,
+                2024431685856332,
+                2233550957004860,
+                2012407275509545,
+                872546993104440,
+            ]),
+            xy2d: FieldElement51([
+                1217269667678610,
+                599909351968693,
+                1390077048548598,
+                1471879360694802,
+                739586172317596,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3970118453066023,
+                1560510726633957,
+                3156262694845170,
+                1418028351780051,
+                2346204163137185,
+            ]),
+            y_minus_x: FieldElement51([
+                2132502667405250,
+                214379346175414,
+                1502748313768060,
+                1960071701057800,
+                1353971822643138,
+            ]),
+            xy2d: FieldElement51([
+                319394212043702,
+                2127459436033571,
+                717646691535162,
+                663366796076914,
+                318459064945314,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2657789238608841,
+                1960452633787082,
+                2919148848086913,
+                3744474074452359,
+                1451061489880786,
+            ]),
+            y_minus_x: FieldElement51([
+                947085906234007,
+                323284730494107,
+                1485778563977200,
+                728576821512394,
+                901584347702286,
+            ]),
+            xy2d: FieldElement51([
+                1575783124125742,
+                2126210792434375,
+                1569430791264065,
+                1402582372904727,
+                1891780248341114,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3090232019245924,
+                4249503325136911,
+                3270591693593114,
+                1662001808174330,
+                2330127946643001,
+            ]),
+            y_minus_x: FieldElement51([
+                739152638255629,
+                2074935399403557,
+                505483666745895,
+                1611883356514088,
+                628654635394878,
+            ]),
+            xy2d: FieldElement51([
+                1822054032121349,
+                643057948186973,
+                7306757352712,
+                577249257962099,
+                284735863382083,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3618358370049178,
+                1448606567552085,
+                3730680834630016,
+                2417602993041145,
+                1115718458123497,
+            ]),
+            y_minus_x: FieldElement51([
+                204146226972102,
+                1630511199034723,
+                2215235214174763,
+                174665910283542,
+                956127674017216,
+            ]),
+            xy2d: FieldElement51([
+                1562934578796716,
+                1070893489712745,
+                11324610642270,
+                958989751581897,
+                2172552325473805,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1770564423056008,
+                2987323445349813,
+                1326060113795288,
+                1509650369341127,
+                2317692235267932,
+            ]),
+            y_minus_x: FieldElement51([
+                623682558650637,
+                1337866509471512,
+                990313350206649,
+                1314236615762469,
+                1164772974270275,
+            ]),
+            xy2d: FieldElement51([
+                223256821462517,
+                723690150104139,
+                1000261663630601,
+                933280913953265,
+                254872671543046,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1969087237026022,
+                2876595539132372,
+                1335555107635968,
+                2069986355593023,
+                3963899963027150,
+            ]),
+            y_minus_x: FieldElement51([
+                1236103475266979,
+                1837885883267218,
+                1026072585230455,
+                1025865513954973,
+                1801964901432134,
+            ]),
+            xy2d: FieldElement51([
+                1115241013365517,
+                1712251818829143,
+                2148864332502771,
+                2096001471438138,
+                2235017246626125,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3551068012286861,
+                2047148477845620,
+                2165648650132450,
+                1612539282026145,
+                2765997725314138,
+            ]),
+            y_minus_x: FieldElement51([
+                118352772338543,
+                1067608711804704,
+                1434796676193498,
+                1683240170548391,
+                230866769907437,
+            ]),
+            xy2d: FieldElement51([
+                1850689576796636,
+                1601590730430274,
+                1139674615958142,
+                1954384401440257,
+                76039205311,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1723387471374172,
+                3249101280723658,
+                2785727448808904,
+                2272728458379212,
+                1756575222802512,
+            ]),
+            y_minus_x: FieldElement51([
+                2146711623855116,
+                503278928021499,
+                625853062251406,
+                1109121378393107,
+                1033853809911861,
+            ]),
+            xy2d: FieldElement51([
+                571005965509422,
+                2005213373292546,
+                1016697270349626,
+                56607856974274,
+                914438579435146,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1346698876211176,
+                2076651707527589,
+                3336561384795453,
+                2517134292513653,
+                1068954492309670,
+            ]),
+            y_minus_x: FieldElement51([
+                1769967932677654,
+                1695893319756416,
+                1151863389675920,
+                1781042784397689,
+                400287774418285,
+            ]),
+            xy2d: FieldElement51([
+                1851867764003121,
+                403841933237558,
+                820549523771987,
+                761292590207581,
+                1743735048551143,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                410915148140008,
+                2107072311871739,
+                3256167275561751,
+                2351484709082008,
+                1180818713503223,
+            ]),
+            y_minus_x: FieldElement51([
+                285945406881439,
+                648174397347453,
+                1098403762631981,
+                1366547441102991,
+                1505876883139217,
+            ]),
+            xy2d: FieldElement51([
+                672095903120153,
+                1675918957959872,
+                636236529315028,
+                1569297300327696,
+                2164144194785875,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1902708175321798,
+                3287143344600686,
+                1178560808893262,
+                2552895497743394,
+                1280977479761117,
+            ]),
+            y_minus_x: FieldElement51([
+                1615357281742403,
+                404257611616381,
+                2160201349780978,
+                1160947379188955,
+                1578038619549541,
+            ]),
+            xy2d: FieldElement51([
+                2013087639791217,
+                822734930507457,
+                1785668418619014,
+                1668650702946164,
+                389450875221715,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2705718263383616,
+                2358206633614248,
+                2072540975937134,
+                308588860670238,
+                1304394580755385,
+            ]),
+            y_minus_x: FieldElement51([
+                1295082798350326,
+                2091844511495996,
+                1851348972587817,
+                3375039684596,
+                789440738712837,
+            ]),
+            xy2d: FieldElement51([
+                2083069137186154,
+                848523102004566,
+                993982213589257,
+                1405313299916317,
+                1532824818698468,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3747761112537659,
+                1397203457344778,
+                4026750030752190,
+                2391102557240943,
+                2318403398028034,
+            ]),
+            y_minus_x: FieldElement51([
+                1782411379088302,
+                1096724939964781,
+                27593390721418,
+                542241850291353,
+                1540337798439873,
+            ]),
+            xy2d: FieldElement51([
+                693543956581437,
+                171507720360750,
+                1557908942697227,
+                1074697073443438,
+                1104093109037196,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                345288228393400,
+                3351443383432420,
+                2386681722088990,
+                1740551994106739,
+                2500011992985018,
+            ]),
+            y_minus_x: FieldElement51([
+                231429562203065,
+                1526290236421172,
+                2021375064026423,
+                1520954495658041,
+                806337791525116,
+            ]),
+            xy2d: FieldElement51([
+                1079623667189886,
+                872403650198613,
+                766894200588288,
+                2163700860774109,
+                2023464507911816,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                854645372543796,
+                1936406001954827,
+                2403260476226501,
+                3077125552956802,
+                1554306377287555,
+            ]),
+            y_minus_x: FieldElement51([
+                1497138821904622,
+                1044820250515590,
+                1742593886423484,
+                1237204112746837,
+                849047450816987,
+            ]),
+            xy2d: FieldElement51([
+                667962773375330,
+                1897271816877105,
+                1399712621683474,
+                1143302161683099,
+                2081798441209593,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2378947665252234,
+                1936114012888109,
+                1704424366552046,
+                3108474694401560,
+                2968403435020606,
+            ]),
+            y_minus_x: FieldElement51([
+                1072409664800960,
+                2146937497077528,
+                1508780108920651,
+                935767602384853,
+                1112800433544068,
+            ]),
+            xy2d: FieldElement51([
+                333549023751292,
+                280219272863308,
+                2104176666454852,
+                1036466864875785,
+                536135186520207,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2625466093568366,
+                2398257055215356,
+                2555916080813104,
+                2667888562832962,
+                3510376944868638,
+            ]),
+            y_minus_x: FieldElement51([
+                1186115062588401,
+                2251609796968486,
+                1098944457878953,
+                1153112761201374,
+                1791625503417267,
+            ]),
+            xy2d: FieldElement51([
+                1870078460219737,
+                2129630962183380,
+                852283639691142,
+                292865602592851,
+                401904317342226,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1361070124828016,
+                815664541425524,
+                3278598711049919,
+                1951790935390646,
+                2807674705520038,
+            ]),
+            y_minus_x: FieldElement51([
+                1546301003424277,
+                459094500062839,
+                1097668518375311,
+                1780297770129643,
+                720763293687608,
+            ]),
+            xy2d: FieldElement51([
+                1212405311403990,
+                1536693382542438,
+                61028431067459,
+                1863929423417129,
+                1223219538638038,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1294303766540260,
+                3435357279640341,
+                3134071170918340,
+                2315654383110622,
+                2213283684565086,
+            ]),
+            y_minus_x: FieldElement51([
+                339050984211414,
+                601386726509773,
+                413735232134068,
+                966191255137228,
+                1839475899458159,
+            ]),
+            xy2d: FieldElement51([
+                235605972169408,
+                2174055643032978,
+                1538335001838863,
+                1281866796917192,
+                1815940222628465,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1632352921721536,
+                1833328609514701,
+                2092779091951987,
+                4175756015558474,
+                2210068022482918,
+            ]),
+            y_minus_x: FieldElement51([
+                35271216625062,
+                1712350667021807,
+                983664255668860,
+                98571260373038,
+                1232645608559836,
+            ]),
+            xy2d: FieldElement51([
+                1998172393429622,
+                1798947921427073,
+                784387737563581,
+                1589352214827263,
+                1589861734168180,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1733739258725305,
+                2283515530744786,
+                2453769758904107,
+                3243892858242237,
+                1194308773174555,
+            ]),
+            y_minus_x: FieldElement51([
+                846415389605137,
+                746163495539180,
+                829658752826080,
+                592067705956946,
+                957242537821393,
+            ]),
+            xy2d: FieldElement51([
+                1758148849754419,
+                619249044817679,
+                168089007997045,
+                1371497636330523,
+                1867101418880350,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2578433797894864,
+                2513559319756263,
+                1700682323676192,
+                1577907266349064,
+                3469447477068264,
+            ]),
+            y_minus_x: FieldElement51([
+                1714182387328607,
+                1477856482074168,
+                574895689942184,
+                2159118410227270,
+                1555532449716575,
+            ]),
+            xy2d: FieldElement51([
+                853828206885131,
+                998498946036955,
+                1835887550391235,
+                207627336608048,
+                258363815956050,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2392941288336925,
+                3488528558590503,
+                2894901233585134,
+                1646615130509172,
+                1208239602291765,
+            ]),
+            y_minus_x: FieldElement51([
+                1501663228068911,
+                1354879465566912,
+                1444432675498247,
+                897812463852601,
+                855062598754348,
+            ]),
+            xy2d: FieldElement51([
+                714380763546606,
+                1032824444965790,
+                1774073483745338,
+                1063840874947367,
+                1738680636537158,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1640635546696233,
+                2884968766877360,
+                2212651044092395,
+                2282390772269100,
+                2620315074574625,
+            ]),
+            y_minus_x: FieldElement51([
+                1171650314802029,
+                1567085444565577,
+                1453660792008405,
+                757914533009261,
+                1619511342778196,
+            ]),
+            xy2d: FieldElement51([
+                420958967093237,
+                971103481109486,
+                2169549185607107,
+                1301191633558497,
+                1661514101014240,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3158923465503550,
+                1332556122804145,
+                4075855067109735,
+                3619414031128206,
+                1982558335973171,
+            ]),
+            y_minus_x: FieldElement51([
+                1121533090144639,
+                1021251337022187,
+                110469995947421,
+                1511059774758394,
+                2110035908131662,
+            ]),
+            xy2d: FieldElement51([
+                303213233384524,
+                2061932261128138,
+                352862124777736,
+                40828818670255,
+                249879468482660,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                856559257852200,
+                2760317478634258,
+                3629993581580163,
+                3975258940632376,
+                1962275756614520,
+            ]),
+            y_minus_x: FieldElement51([
+                1445691340537320,
+                40614383122127,
+                402104303144865,
+                485134269878232,
+                1659439323587426,
+            ]),
+            xy2d: FieldElement51([
+                20057458979482,
+                1183363722525800,
+                2140003847237215,
+                2053873950687614,
+                2112017736174909,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2228654250927986,
+                3735391177100515,
+                1368661293910955,
+                3328311098862539,
+                526650682059607,
+            ]),
+            y_minus_x: FieldElement51([
+                709481497028540,
+                531682216165724,
+                316963769431931,
+                1814315888453765,
+                258560242424104,
+            ]),
+            xy2d: FieldElement51([
+                1053447823660455,
+                1955135194248683,
+                1010900954918985,
+                1182614026976701,
+                1240051576966610,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1957943897155478,
+                1788667368028035,
+                2389492723714354,
+                2252839333292309,
+                3078204576998275,
+            ]),
+            y_minus_x: FieldElement51([
+                1848942433095597,
+                1582009882530495,
+                1849292741020143,
+                1068498323302788,
+                2001402229799484,
+            ]),
+            xy2d: FieldElement51([
+                1528282417624269,
+                2142492439828191,
+                2179662545816034,
+                362568973150328,
+                1591374675250271,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2411826493119617,
+                2484141002903963,
+                2149181472355544,
+                598041771119831,
+                2435658815595421,
+            ]),
+            y_minus_x: FieldElement51([
+                2013278155187349,
+                662660471354454,
+                793981225706267,
+                411706605985744,
+                804490933124791,
+            ]),
+            xy2d: FieldElement51([
+                2051892037280204,
+                488391251096321,
+                2230187337030708,
+                930221970662692,
+                679002758255210,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1530723630438670,
+                875873929577927,
+                2593359947955236,
+                2701702933216000,
+                1055551308214178,
+            ]),
+            y_minus_x: FieldElement51([
+                1461835919309432,
+                1955256480136428,
+                180866187813063,
+                1551979252664528,
+                557743861963950,
+            ]),
+            xy2d: FieldElement51([
+                359179641731115,
+                1324915145732949,
+                902828372691474,
+                294254275669987,
+                1887036027752957,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                4295071423139571,
+                2038225437857463,
+                1317528426475850,
+                1398989128982787,
+                2027639881006861,
+            ]),
+            y_minus_x: FieldElement51([
+                2072902725256516,
+                312132452743412,
+                309930885642209,
+                996244312618453,
+                1590501300352303,
+            ]),
+            xy2d: FieldElement51([
+                1397254305160710,
+                695734355138021,
+                2233992044438756,
+                1776180593969996,
+                1085588199351115,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2692366865016258,
+                2506694600041928,
+                2745669038615469,
+                1556322069683365,
+                3819256354004466,
+            ]),
+            y_minus_x: FieldElement51([
+                1950722461391320,
+                1907845598854797,
+                1822757481635527,
+                2121567704750244,
+                73811931471221,
+            ]),
+            xy2d: FieldElement51([
+                387139307395758,
+                2058036430315676,
+                1220915649965325,
+                1794832055328951,
+                1230009312169328,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1765973779329498,
+                2911143873132225,
+                2271621715291913,
+                3553728154996461,
+                3368065817761132,
+            ]),
+            y_minus_x: FieldElement51([
+                1127572801181483,
+                1224743760571696,
+                1276219889847274,
+                1529738721702581,
+                1589819666871853,
+            ]),
+            xy2d: FieldElement51([
+                2181229378964934,
+                2190885205260020,
+                1511536077659137,
+                1246504208580490,
+                668883326494241,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2689666469258543,
+                2920826224880015,
+                2333696811665585,
+                523874406393177,
+                2496851874620484,
+            ]),
+            y_minus_x: FieldElement51([
+                1975438052228868,
+                1071801519999806,
+                594652299224319,
+                1877697652668809,
+                1489635366987285,
+            ]),
+            xy2d: FieldElement51([
+                958592545673770,
+                233048016518599,
+                851568750216589,
+                567703851596087,
+                1740300006094761,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2014540178270324,
+                192672779514432,
+                2465676996326778,
+                2194819933853410,
+                1716422829364835,
+            ]),
+            y_minus_x: FieldElement51([
+                1540769606609725,
+                2148289943846077,
+                1597804156127445,
+                1230603716683868,
+                815423458809453,
+            ]),
+            xy2d: FieldElement51([
+                1738560251245018,
+                1779576754536888,
+                1783765347671392,
+                1880170990446751,
+                1088225159617541,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2911103727614740,
+                1956447718227572,
+                1830568515922666,
+                3092868863429656,
+                1669607124206367,
+            ]),
+            y_minus_x: FieldElement51([
+                1143465490433355,
+                1532194726196059,
+                1093276745494697,
+                481041706116088,
+                2121405433561163,
+            ]),
+            xy2d: FieldElement51([
+                1686424298744462,
+                1451806974487153,
+                266296068846582,
+                1834686947542675,
+                1720762336132256,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3141016840074207,
+                3295090436969907,
+                3107924901237156,
+                1669272323124635,
+                1603340330827879,
+            ]),
+            y_minus_x: FieldElement51([
+                1206396181488998,
+                333158148435054,
+                1402633492821422,
+                1120091191722026,
+                1945474114550509,
+            ]),
+            xy2d: FieldElement51([
+                766720088232571,
+                1512222781191002,
+                1189719893490790,
+                2091302129467914,
+                2141418006894941,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2671463460991841,
+                1998875112167986,
+                3678399683938955,
+                3406728169064757,
+                2738338345823434,
+            ]),
+            y_minus_x: FieldElement51([
+                938160078005954,
+                1421776319053174,
+                1941643234741774,
+                180002183320818,
+                1414380336750546,
+            ]),
+            xy2d: FieldElement51([
+                398001940109652,
+                1577721237663248,
+                1012748649830402,
+                1540516006905144,
+                1011684812884559,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1653276489969611,
+                2257881638852872,
+                1921777941170835,
+                1604139841794531,
+                3113010867325889,
+            ]),
+            y_minus_x: FieldElement51([
+                996661541407379,
+                1455877387952927,
+                744312806857277,
+                139213896196746,
+                1000282908547789,
+            ]),
+            xy2d: FieldElement51([
+                1450817495603008,
+                1476865707053229,
+                1030490562252053,
+                620966950353376,
+                1744760161539058,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2811528223687828,
+                2288856475326432,
+                2038622963352005,
+                1637244893271723,
+                3278365165924196,
+            ]),
+            y_minus_x: FieldElement51([
+                962165956135846,
+                1116599660248791,
+                182090178006815,
+                1455605467021751,
+                196053588803284,
+            ]),
+            xy2d: FieldElement51([
+                796863823080135,
+                1897365583584155,
+                420466939481601,
+                2165972651724672,
+                932177357788289,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                877047233620613,
+                1375632631944375,
+                2895573425567369,
+                2911822552533124,
+                2271153746017078,
+            ]),
+            y_minus_x: FieldElement51([
+                2216943882299338,
+                394841323190322,
+                2222656898319671,
+                558186553950529,
+                1077236877025190,
+            ]),
+            xy2d: FieldElement51([
+                801118384953213,
+                1914330175515892,
+                574541023311511,
+                1471123787903705,
+                1526158900256288,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3201417702772463,
+                2207116611267330,
+                3164719852826535,
+                2752958352884036,
+                2314162374456719,
+            ]),
+            y_minus_x: FieldElement51([
+                1474518386765335,
+                1760793622169197,
+                1157399790472736,
+                1622864308058898,
+                165428294422792,
+            ]),
+            xy2d: FieldElement51([
+                1961673048027128,
+                102619413083113,
+                1051982726768458,
+                1603657989805485,
+                1941613251499678,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1401939116319247,
+                2587106153588320,
+                2323846009771033,
+                862423201496005,
+                3102318568216632,
+            ]),
+            y_minus_x: FieldElement51([
+                1234706593321979,
+                1083343891215917,
+                898273974314935,
+                1640859118399498,
+                157578398571149,
+            ]),
+            xy2d: FieldElement51([
+                1143483057726416,
+                1992614991758919,
+                674268662140796,
+                1773370048077526,
+                674318359920189,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1835401379538542,
+                173900035308392,
+                818247630716732,
+                4013900225838034,
+                1021506399448290,
+            ]),
+            y_minus_x: FieldElement51([
+                1506632088156630,
+                2127481795522179,
+                513812919490255,
+                140643715928370,
+                442476620300318,
+            ]),
+            xy2d: FieldElement51([
+                2056683376856736,
+                219094741662735,
+                2193541883188309,
+                1841182310235800,
+                556477468664293,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3566819241596075,
+                1049075855992602,
+                4318372866671791,
+                2518704280870781,
+                2040482348591519,
+            ]),
+            y_minus_x: FieldElement51([
+                94096246544434,
+                922482381166992,
+                24517828745563,
+                2139430508542503,
+                2097139044231004,
+            ]),
+            xy2d: FieldElement51([
+                537697207950515,
+                1399352016347350,
+                1563663552106345,
+                2148749520888918,
+                549922092988516,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1747985413252415,
+                680511052635695,
+                1809559829982725,
+                2846074064615302,
+                2453472984431229,
+            ]),
+            y_minus_x: FieldElement51([
+                323583936109569,
+                1973572998577657,
+                1192219029966558,
+                79354804385273,
+                1374043025560347,
+            ]),
+            xy2d: FieldElement51([
+                213277331329947,
+                416202017849623,
+                1950535221091783,
+                1313441578103244,
+                2171386783823658,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2440888617915079,
+                993969372859109,
+                3147669935222235,
+                3799101348983503,
+                1477373024911349,
+            ]),
+            y_minus_x: FieldElement51([
+                1620578418245010,
+                541035331188469,
+                2235785724453865,
+                2154865809088198,
+                1974627268751826,
+            ]),
+            xy2d: FieldElement51([
+                1346805451740245,
+                1350981335690626,
+                942744349501813,
+                2155094562545502,
+                1012483751693409,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2107080134091762,
+                1132567062788208,
+                1824935377687210,
+                769194804343737,
+                1857941799971888,
+            ]),
+            y_minus_x: FieldElement51([
+                1074666112436467,
+                249279386739593,
+                1174337926625354,
+                1559013532006480,
+                1472287775519121,
+            ]),
+            xy2d: FieldElement51([
+                1872620123779532,
+                1892932666768992,
+                1921559078394978,
+                1270573311796160,
+                1438913646755037,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3089190001333428,
+                3264053113908846,
+                989780015893986,
+                1351393287739814,
+                2580427560230798,
+            ]),
+            y_minus_x: FieldElement51([
+                1028328827183114,
+                1711043289969857,
+                1350832470374933,
+                1923164689604327,
+                1495656368846911,
+            ]),
+            xy2d: FieldElement51([
+                1900828492104143,
+                430212361082163,
+                687437570852799,
+                832514536673512,
+                1685641495940794,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3094432661621646,
+                605670026766215,
+                290836444839585,
+                2415010588577604,
+                2213815011799644,
+            ]),
+            y_minus_x: FieldElement51([
+                1176336383453996,
+                1725477294339771,
+                12700622672454,
+                678015708818208,
+                162724078519879,
+            ]),
+            xy2d: FieldElement51([
+                1448049969043497,
+                1789411762943521,
+                385587766217753,
+                90201620913498,
+                832999441066823,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2767886146978542,
+                2240508292484615,
+                3603469341851756,
+                3475055379001735,
+                3002035638112385,
+            ]),
+            y_minus_x: FieldElement51([
+                1263624896582495,
+                1102602401673328,
+                526302183714372,
+                2152015839128799,
+                1483839308490010,
+            ]),
+            xy2d: FieldElement51([
+                442991718646863,
+                1599275157036458,
+                1925389027579192,
+                899514691371390,
+                350263251085160,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1689713572022124,
+                2845654372939621,
+                3229894858477217,
+                1985127338729498,
+                3927868934032873,
+            ]),
+            y_minus_x: FieldElement51([
+                1557207018622683,
+                340631692799603,
+                1477725909476187,
+                614735951619419,
+                2033237123746766,
+            ]),
+            xy2d: FieldElement51([
+                968764929340557,
+                1225534776710944,
+                662967304013036,
+                1155521416178595,
+                791142883466590,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1487081286167458,
+                3244839255500182,
+                1792378982844639,
+                2950452258685122,
+                2153908693179753,
+            ]),
+            y_minus_x: FieldElement51([
+                1123181311102823,
+                685575944875442,
+                507605465509927,
+                1412590462117473,
+                568017325228626,
+            ]),
+            xy2d: FieldElement51([
+                560258797465417,
+                2193971151466401,
+                1824086900849026,
+                579056363542056,
+                1690063960036441,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1918407319222397,
+                2605567366745211,
+                1930426334528098,
+                1564816146005724,
+                4113142195393344,
+            ]),
+            y_minus_x: FieldElement51([
+                2131325168777276,
+                1176636658428908,
+                1756922641512981,
+                1390243617176012,
+                1966325177038383,
+            ]),
+            xy2d: FieldElement51([
+                2063958120364491,
+                2140267332393533,
+                699896251574968,
+                273268351312140,
+                375580724713232,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2024297515263178,
+                2668759143407935,
+                3330814048702549,
+                2423412039258430,
+                1031677520051052,
+            ]),
+            y_minus_x: FieldElement51([
+                2033900009388450,
+                1744902869870788,
+                2190580087917640,
+                1949474984254121,
+                231049754293748,
+            ]),
+            xy2d: FieldElement51([
+                343868674606581,
+                550155864008088,
+                1450580864229630,
+                481603765195050,
+                896972360018042,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2151139328380127,
+                2566545695770176,
+                2311556639460451,
+                1676664391494650,
+                2048348075599360,
+            ]),
+            y_minus_x: FieldElement51([
+                1528930066340597,
+                1605003907059576,
+                1055061081337675,
+                1458319101947665,
+                1234195845213142,
+            ]),
+            xy2d: FieldElement51([
+                830430507734812,
+                1780282976102377,
+                1425386760709037,
+                362399353095425,
+                2168861579799910,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3407562046415562,
+                980662895504005,
+                2053766700883521,
+                2742766027762854,
+                2762205690726604,
+            ]),
+            y_minus_x: FieldElement51([
+                1683750316716132,
+                652278688286128,
+                1221798761193539,
+                1897360681476669,
+                319658166027343,
+            ]),
+            xy2d: FieldElement51([
+                618808732869972,
+                72755186759744,
+                2060379135624181,
+                1730731526741822,
+                48862757828238,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3714971784278753,
+                3394840525452699,
+                614590986558882,
+                1409210575145591,
+                1882816996436803,
+            ]),
+            y_minus_x: FieldElement51([
+                2230133264691131,
+                563950955091024,
+                2042915975426398,
+                827314356293472,
+                672028980152815,
+            ]),
+            xy2d: FieldElement51([
+                264204366029760,
+                1654686424479449,
+                2185050199932931,
+                2207056159091748,
+                506015669043634,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1784446333136550,
+                1973746527984364,
+                334856327359575,
+                3408569589569858,
+                3275749938360725,
+            ]),
+            y_minus_x: FieldElement51([
+                2065270940578383,
+                31477096270353,
+                306421879113491,
+                181958643936686,
+                1907105536686083,
+            ]),
+            xy2d: FieldElement51([
+                1496516440779464,
+                1748485652986458,
+                872778352227340,
+                818358834654919,
+                97932669284220,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2723435829455580,
+                2924255216478824,
+                1804995246884102,
+                1842309243470804,
+                3753662318666930,
+            ]),
+            y_minus_x: FieldElement51([
+                1013216974933691,
+                538921919682598,
+                1915776722521558,
+                1742822441583877,
+                1886550687916656,
+            ]),
+            xy2d: FieldElement51([
+                2094270000643336,
+                303971879192276,
+                40801275554748,
+                649448917027930,
+                1818544418535447,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2241737709499146,
+                549397817447461,
+                838180519319392,
+                1725686958520781,
+                3957438894582995,
+            ]),
+            y_minus_x: FieldElement51([
+                1216074541925116,
+                50120933933509,
+                1565829004133810,
+                721728156134580,
+                349206064666188,
+            ]),
+            xy2d: FieldElement51([
+                948617110470858,
+                346222547451945,
+                1126511960599975,
+                1759386906004538,
+                493053284802266,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1454933046815146,
+                3126495827951610,
+                1467170975468587,
+                1432316382418897,
+                2111710746366763,
+            ]),
+            y_minus_x: FieldElement51([
+                2105387117364450,
+                1996463405126433,
+                1303008614294500,
+                851908115948209,
+                1353742049788635,
+            ]),
+            xy2d: FieldElement51([
+                750300956351719,
+                1487736556065813,
+                15158817002104,
+                1511998221598392,
+                971739901354129,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1874648163531674,
+                2124487685930551,
+                1810030029384882,
+                918400043048335,
+                2838148440985898,
+            ]),
+            y_minus_x: FieldElement51([
+                1235084464747900,
+                1166111146432082,
+                1745394857881591,
+                1405516473883040,
+                4463504151617,
+            ]),
+            xy2d: FieldElement51([
+                1663810156463827,
+                327797390285791,
+                1341846161759410,
+                1964121122800605,
+                1747470312055380,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                660005247548214,
+                2071860029952887,
+                3610548013635355,
+                911703252219106,
+                3266179736709079,
+            ]),
+            y_minus_x: FieldElement51([
+                2206641276178231,
+                1690587809721504,
+                1600173622825126,
+                2156096097634421,
+                1106822408548216,
+            ]),
+            xy2d: FieldElement51([
+                1344788193552206,
+                1949552134239140,
+                1735915881729557,
+                675891104100469,
+                1834220014427292,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1920949492387945,
+                2410685102072778,
+                2322108077349280,
+                2877838278583064,
+                3719881539786256,
+            ]),
+            y_minus_x: FieldElement51([
+                622221042073383,
+                1210146474039168,
+                1742246422343683,
+                1403839361379025,
+                417189490895736,
+            ]),
+            xy2d: FieldElement51([
+                22727256592983,
+                168471543384997,
+                1324340989803650,
+                1839310709638189,
+                504999476432775,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3565040332441556,
+                1721896294296941,
+                2304063388272514,
+                2065069734239231,
+                3056710287109878,
+            ]),
+            y_minus_x: FieldElement51([
+                1337466662091884,
+                1287645354669772,
+                2018019646776184,
+                652181229374245,
+                898011753211715,
+            ]),
+            xy2d: FieldElement51([
+                1969792547910734,
+                779969968247557,
+                2011350094423418,
+                1823964252907487,
+                1058949448296945,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2459143550747250,
+                1118176942430252,
+                3010694408233412,
+                806764629546265,
+                1157700123092949,
+            ]),
+            y_minus_x: FieldElement51([
+                1273565321399022,
+                1638509681964574,
+                759235866488935,
+                666015124346707,
+                897983460943405,
+            ]),
+            xy2d: FieldElement51([
+                1717263794012298,
+                1059601762860786,
+                1837819172257618,
+                1054130665797229,
+                680893204263559,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2237039662793603,
+                2249022333361206,
+                2058613546633703,
+                2401253908530527,
+                2215176649164581,
+            ]),
+            y_minus_x: FieldElement51([
+                79472182719605,
+                1851130257050174,
+                1825744808933107,
+                821667333481068,
+                781795293511946,
+            ]),
+            xy2d: FieldElement51([
+                755822026485370,
+                152464789723500,
+                1178207602290608,
+                410307889503239,
+                156581253571278,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3669985309815545,
+                2736319981413860,
+                3898537095128197,
+                3653287498355512,
+                1349185550126960,
+            ]),
+            y_minus_x: FieldElement51([
+                1495380034400429,
+                325049476417173,
+                46346894893933,
+                1553408840354856,
+                828980101835683,
+            ]),
+            xy2d: FieldElement51([
+                1280337889310282,
+                2070832742866672,
+                1640940617225222,
+                2098284908289951,
+                450929509534434,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2659503167684029,
+                2378371955168899,
+                2537839641198868,
+                1999255076709337,
+                2030511179441770,
+            ]),
+            y_minus_x: FieldElement51([
+                1254958221100483,
+                1153235960999843,
+                942907704968834,
+                637105404087392,
+                1149293270147267,
+            ]),
+            xy2d: FieldElement51([
+                894249020470196,
+                400291701616810,
+                406878712230981,
+                1599128793487393,
+                1145868722604026,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3749755063888563,
+                2361916158338507,
+                1128535642171975,
+                1900106496009660,
+                2381592531146157,
+            ]),
+            y_minus_x: FieldElement51([
+                452487513298665,
+                1352120549024569,
+                1173495883910956,
+                1999111705922009,
+                367328130454226,
+            ]),
+            xy2d: FieldElement51([
+                1717539401269642,
+                1475188995688487,
+                891921989653942,
+                836824441505699,
+                1885988485608364,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3493583935107776,
+                2439136865632830,
+                3370281625921440,
+                2680547565621609,
+                2282158712612572,
+            ]),
+            y_minus_x: FieldElement51([
+                2022432361201842,
+                1088816090685051,
+                1977843398539868,
+                1854834215890724,
+                564238862029357,
+            ]),
+            xy2d: FieldElement51([
+                938868489100585,
+                1100285072929025,
+                1017806255688848,
+                1957262154788833,
+                152787950560442,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3119119231364171,
+                2872271776627789,
+                2477832016990963,
+                2593801257642876,
+                1761675818237335,
+            ]),
+            y_minus_x: FieldElement51([
+                1295072362439987,
+                931227904689414,
+                1355731432641687,
+                922235735834035,
+                892227229410209,
+            ]),
+            xy2d: FieldElement51([
+                1680989767906154,
+                535362787031440,
+                2136691276706570,
+                1942228485381244,
+                1267350086882274,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2617818047455756,
+                2684460443440843,
+                2378209521329782,
+                1973842949591661,
+                2897427157127624,
+            ]),
+            y_minus_x: FieldElement51([
+                535509430575217,
+                546885533737322,
+                1524675609547799,
+                2138095752851703,
+                1260738089896827,
+            ]),
+            xy2d: FieldElement51([
+                1159906385590467,
+                2198530004321610,
+                714559485023225,
+                81880727882151,
+                1484020820037082,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1377485731340769,
+                2046328105512000,
+                1802058637158797,
+                2313945950453421,
+                1356993908853900,
+            ]),
+            y_minus_x: FieldElement51([
+                2013612215646735,
+                1830770575920375,
+                536135310219832,
+                609272325580394,
+                270684344495013,
+            ]),
+            xy2d: FieldElement51([
+                1237542585982777,
+                2228682050256790,
+                1385281931622824,
+                593183794882890,
+                493654978552689,
+            ]),
+        },
+    ]),
+    LookupTable([
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2299141301692989,
+                1891414891220256,
+                983894663308928,
+                2427961581972066,
+                3378060928864955,
+            ]),
+            y_minus_x: FieldElement51([
+                1694030170963455,
+                502038567066200,
+                1691160065225467,
+                949628319562187,
+                275110186693066,
+            ]),
+            xy2d: FieldElement51([
+                1124515748676336,
+                1661673816593408,
+                1499640319059718,
+                1584929449166988,
+                558148594103306,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                1784525599998356,
+                1619698033617383,
+                2097300287550715,
+                2510065271789004,
+                1905684794832757,
+            ]),
+            y_minus_x: FieldElement51([
+                1288941072872766,
+                931787902039402,
+                190731008859042,
+                2006859954667190,
+                1005931482221702,
+            ]),
+            xy2d: FieldElement51([
+                1465551264822703,
+                152905080555927,
+                680334307368453,
+                173227184634745,
+                666407097159852,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2111017076203943,
+                3630560299479595,
+                1248583954016455,
+                3604089008549670,
+                1895180776543895,
+            ]),
+            y_minus_x: FieldElement51([
+                171348223915638,
+                662766099800389,
+                462338943760497,
+                466917763340314,
+                656911292869115,
+            ]),
+            xy2d: FieldElement51([
+                488623681976577,
+                866497561541722,
+                1708105560937768,
+                1673781214218839,
+                1506146329818807,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2412225278142205,
+                950394373239688,
+                2682296937026182,
+                711676555398831,
+                320964687779005,
+            ]),
+            y_minus_x: FieldElement51([
+                988979367990485,
+                1359729327576302,
+                1301834257246029,
+                294141160829308,
+                29348272277475,
+            ]),
+            xy2d: FieldElement51([
+                1434382743317910,
+                100082049942065,
+                221102347892623,
+                186982837860588,
+                1305765053501834,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                2205916462268190,
+                2751663643476068,
+                961960554686615,
+                2409862576442233,
+                1841471168298304,
+            ]),
+            y_minus_x: FieldElement51([
+                1191737341426592,
+                1847042034978363,
+                1382213545049056,
+                1039952395710448,
+                788812858896859,
+            ]),
+            xy2d: FieldElement51([
+                1346965964571152,
+                1291881610839830,
+                2142916164336056,
+                786821641205979,
+                1571709146321039,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                787164375951248,
+                2454669019058437,
+                3608390234717387,
+                1431233331032509,
+                786341368775957,
+            ]),
+            y_minus_x: FieldElement51([
+                492448143532951,
+                304105152670757,
+                1761767168301056,
+                233782684697790,
+                1981295323106089,
+            ]),
+            xy2d: FieldElement51([
+                665807507761866,
+                1343384868355425,
+                895831046139653,
+                439338948736892,
+                1986828765695105,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3007896024559801,
+                1721699973539148,
+                2510565115413133,
+                1390588532210644,
+                1212530909934781,
+            ]),
+            y_minus_x: FieldElement51([
+                852891097972275,
+                1816988871354562,
+                1543772755726524,
+                1174710635522444,
+                202129090724628,
+            ]),
+            xy2d: FieldElement51([
+                1205281565824323,
+                22430498399418,
+                992947814485516,
+                1392458699738672,
+                688441466734558,
+            ]),
+        },
+        AffineNielsPoint {
+            y_plus_x: FieldElement51([
+                3302427242100220,
+                1955849529137134,
+                2171162376368357,
+                2343545681983462,
+                447733118757825,
+            ]),
+            y_minus_x: FieldElement51([
+                1287181461435438,
+                622722465530711,
+                880952150571872,
+                741035693459198,
+                311565274989772,
+            ]),
+            xy2d: FieldElement51([
+                1003649078149734,
+                545233927396469,
+                1849786171789880,
+                1318943684880434,
+                280345687170552,
+            ]),
+        },
+    ]),
+]);
 
 /// Odd multiples of the basepoint `[B, 3B, 5B, 7B, 9B, 11B, 13B, 15B, ..., 127B]`.
 #[allow(dead_code)]
diff --git a/src/backend/vector/avx2/edwards.rs b/src/backend/vector/avx2/edwards.rs
index fb98d0ac5..032265069 100644
--- a/src/backend/vector/avx2/edwards.rs
+++ b/src/backend/vector/avx2/edwards.rs
@@ -441,7 +441,7 @@ mod test {
 
         println!("Testing B +- kB");
         let P = constants::ED25519_BASEPOINT_POINT;
-        let Q = &constants::ED25519_BASEPOINT_TABLE * &Scalar::from(8475983829u64);
+        let Q = constants::ED25519_BASEPOINT_TABLE * &Scalar::from(8475983829u64);
         addition_test_helper(P, Q);
     }
 
@@ -520,7 +520,7 @@ mod test {
         doubling_test_helper(P);
 
         println!("Testing [2]([k]B)");
-        let P = &constants::ED25519_BASEPOINT_TABLE * &Scalar::from(8475983829u64);
+        let P = constants::ED25519_BASEPOINT_TABLE * &Scalar::from(8475983829u64);
         doubling_test_helper(P);
     }
 
diff --git a/src/backend/vector/ifma/edwards.rs b/src/backend/vector/ifma/edwards.rs
index e4efdf573..5bdc3ce07 100644
--- a/src/backend/vector/ifma/edwards.rs
+++ b/src/backend/vector/ifma/edwards.rs
@@ -278,7 +278,7 @@ mod test {
 
         println!("Testing B +- kB");
         let P = constants::ED25519_BASEPOINT_POINT;
-        let Q = &constants::ED25519_BASEPOINT_TABLE * &Scalar::from(8475983829u64);
+        let Q = constants::ED25519_BASEPOINT_TABLE * &Scalar::from(8475983829u64);
         addition_test_helper(P, Q);
     }
 
@@ -309,7 +309,7 @@ mod test {
         doubling_test_helper(P);
 
         println!("Testing [2]([k]B)");
-        let P = &constants::ED25519_BASEPOINT_TABLE * &Scalar::from(8475983829u64);
+        let P = constants::ED25519_BASEPOINT_TABLE * &Scalar::from(8475983829u64);
         doubling_test_helper(P);
     }
 }
diff --git a/src/constants.rs b/src/constants.rs
index cf4b7a6b0..413cc0687 100644
--- a/src/constants.rs
+++ b/src/constants.rs
@@ -19,7 +19,7 @@
 //! use curve25519_dalek::constants;
 //! use curve25519_dalek::traits::IsIdentity;
 //!
-//! let B = &constants::RISTRETTO_BASEPOINT_TABLE;
+//! let B = constants::RISTRETTO_BASEPOINT_TABLE;
 //! let l = &constants::BASEPOINT_ORDER;
 //!
 //! let A = l * B;
@@ -30,7 +30,7 @@
 
 use cfg_if::cfg_if;
 
-use crate::edwards::CompressedEdwardsY;
+use crate::edwards::{CompressedEdwardsY, EdwardsBasepointTable};
 use crate::montgomery::MontgomeryPoint;
 use crate::ristretto::CompressedRistretto;
 use crate::ristretto::RistrettoPoint;
@@ -93,8 +93,11 @@ pub const BASEPOINT_ORDER: Scalar = Scalar {
 
 use crate::ristretto::RistrettoBasepointTable;
 /// The Ristretto basepoint, as a `RistrettoBasepointTable` for scalar multiplication.
-pub const RISTRETTO_BASEPOINT_TABLE: RistrettoBasepointTable =
-    RistrettoBasepointTable(ED25519_BASEPOINT_TABLE);
+pub static RISTRETTO_BASEPOINT_TABLE: &'static RistrettoBasepointTable = unsafe {
+    // SAFETY: `RistrettoBasepointTable` is a `#[repr(transparent)]` newtype of
+    // `EdwardsBasepointTable`
+    &*(ED25519_BASEPOINT_TABLE as *const EdwardsBasepointTable as *const RistrettoBasepointTable)
+};
 
 #[cfg(test)]
 mod test {
diff --git a/src/edwards.rs b/src/edwards.rs
index f045a860c..2706c4313 100644
--- a/src/edwards.rs
+++ b/src/edwards.rs
@@ -837,7 +837,7 @@ macro_rules! impl_basepoint_table {
         ///
         /// * [`EdwardsBasepointTableRadix16`]: 30KB, 64A
         ///   (this is the default size, and is used for
-        ///   [`constants::ED25519_BASEPOINT_TABLE`])
+        ///   [`ED25519_BASEPOINT_TABLE`])
         /// * [`EdwardsBasepointTableRadix64`]: 120KB, 43A
         /// * [`EdwardsBasepointTableRadix128`]: 240KB, 37A
         /// * [`EdwardsBasepointTableRadix256`]: 480KB, 33A
@@ -858,6 +858,7 @@ macro_rules! impl_basepoint_table {
         /// When \\(w = 8\\), we can't fit \\(carry \cdot 2^{w}\\) into an `i8`, so we
         /// add the carry bit onto an additional coefficient.
         #[derive(Clone)]
+        #[repr(transparent)]
         pub struct $name(pub(crate) [$table<AffineNielsPoint>; 32]);
 
         impl BasepointTable for $name {
@@ -1117,7 +1118,7 @@ impl Debug for EdwardsPoint {
 #[cfg(test)]
 mod test {
     use super::*;
-    use crate::constants;
+    use crate::constants::ED25519_BASEPOINT_TABLE;
     use crate::field::FieldElement;
     use crate::scalar::Scalar;
     use subtle::ConditionallySelectable;
@@ -1213,7 +1214,7 @@ mod test {
     /// Test that computing 1*basepoint gives the correct basepoint.
     #[test]
     fn basepoint_mult_one_vs_basepoint() {
-        let bp = &constants::ED25519_BASEPOINT_TABLE * &Scalar::ONE;
+        let bp = ED25519_BASEPOINT_TABLE * &Scalar::ONE;
         let compressed = bp.compress();
         assert_eq!(compressed, constants::ED25519_BASEPOINT_COMPRESSED);
     }
@@ -1221,7 +1222,7 @@ mod test {
     /// Test that `EdwardsBasepointTable::basepoint()` gives the correct basepoint.
     #[test]
     fn basepoint_table_basepoint_function_correct() {
-        let bp = constants::ED25519_BASEPOINT_TABLE.basepoint();
+        let bp = ED25519_BASEPOINT_TABLE.basepoint();
         assert_eq!(bp.compress(), constants::ED25519_BASEPOINT_COMPRESSED);
     }
 
@@ -1273,7 +1274,7 @@ mod test {
     #[test]
     fn to_affine_niels_clears_denominators() {
         // construct a point as aB so it has denominators (ie. Z != 1)
-        let aB = &constants::ED25519_BASEPOINT_TABLE * &A_SCALAR;
+        let aB = ED25519_BASEPOINT_TABLE * &A_SCALAR;
         let aB_affine_niels = aB.as_affine_niels();
         let also_aB = (&EdwardsPoint::identity() + &aB_affine_niels).as_extended();
         assert_eq!(aB.compress(), also_aB.compress());
@@ -1282,14 +1283,14 @@ mod test {
     /// Test basepoint_mult versus a known scalar multiple from ed25519.py
     #[test]
     fn basepoint_mult_vs_ed25519py() {
-        let aB = &constants::ED25519_BASEPOINT_TABLE * &A_SCALAR;
+        let aB = ED25519_BASEPOINT_TABLE * &A_SCALAR;
         assert_eq!(aB.compress(), A_TIMES_BASEPOINT);
     }
 
     /// Test that multiplication by the basepoint order kills the basepoint
     #[test]
     fn basepoint_mult_by_basepoint_order() {
-        let B = &constants::ED25519_BASEPOINT_TABLE;
+        let B = ED25519_BASEPOINT_TABLE;
         let should_be_id = B * &constants::BASEPOINT_ORDER;
         assert!(should_be_id.is_identity());
     }
@@ -1297,7 +1298,7 @@ mod test {
     /// Test precomputed basepoint mult
     #[test]
     fn test_precomputed_basepoint_mult() {
-        let aB_1 = &constants::ED25519_BASEPOINT_TABLE * &A_SCALAR;
+        let aB_1 = ED25519_BASEPOINT_TABLE * &A_SCALAR;
         let aB_2 = constants::ED25519_BASEPOINT_POINT * A_SCALAR;
         assert_eq!(aB_1.compress(), aB_2.compress());
     }
@@ -1322,7 +1323,7 @@ mod test {
     #[test]
     fn basepoint_mult_two_vs_basepoint2() {
         let two = Scalar::from(2u64);
-        let bp2 = &constants::ED25519_BASEPOINT_TABLE * &two;
+        let bp2 = ED25519_BASEPOINT_TABLE * &two;
         assert_eq!(bp2.compress(), BASE2_CMPRSSD);
     }
 
@@ -1338,7 +1339,7 @@ mod test {
         let table_radix128 = EdwardsBasepointTableRadix128::create(P);
         let table_radix256 = EdwardsBasepointTableRadix256::create(P);
 
-        let aP = (&constants::ED25519_BASEPOINT_TABLE * &a).compress();
+        let aP = (ED25519_BASEPOINT_TABLE * &a).compress();
         let aP16 = (&table_radix16 * &a).compress();
         let aP32 = (&table_radix32 * &a).compress();
         let aP64 = (&table_radix64 * &a).compress();
@@ -1368,7 +1369,7 @@ mod test {
         let table_radix128 = EdwardsBasepointTableRadix128::create(P);
         let table_radix256 = EdwardsBasepointTableRadix256::create(P);
 
-        let aP = (&constants::ED25519_BASEPOINT_TABLE * &a).compress();
+        let aP = (ED25519_BASEPOINT_TABLE * &a).compress();
         let aP16 = (&table_radix16 * &a).compress();
         let aP32 = (&table_radix32 * &a).compress();
         let aP64 = (&table_radix64 * &a).compress();
@@ -1518,7 +1519,7 @@ mod test {
         // Construct points G_i = x_i * B
         let Gs = xs
             .iter()
-            .map(|xi| xi * &constants::ED25519_BASEPOINT_TABLE)
+            .map(|xi| xi * ED25519_BASEPOINT_TABLE)
             .collect::<Vec<_>>();
 
         // Compute H1 = <xs, Gs> (consttime)
@@ -1526,7 +1527,7 @@ mod test {
         // Compute H2 = <xs, Gs> (vartime)
         let H2 = EdwardsPoint::vartime_multiscalar_mul(&xs, &Gs);
         // Compute H3 = <xs, Gs> = sum(xi^2) * B
-        let H3 = &check * &constants::ED25519_BASEPOINT_TABLE;
+        let H3 = &check * ED25519_BASEPOINT_TABLE;
 
         assert_eq!(H1, H3);
         assert_eq!(H2, H3);
@@ -1576,7 +1577,7 @@ mod test {
     fn vartime_precomputed_vs_nonprecomputed_multiscalar() {
         let mut rng = rand::thread_rng();
 
-        let B = &crate::constants::ED25519_BASEPOINT_TABLE;
+        let B = ED25519_BASEPOINT_TABLE;
 
         let static_scalars = (0..128)
             .map(|_| Scalar::random(&mut rng))
diff --git a/src/montgomery.rs b/src/montgomery.rs
index 0da84b88e..09653c08f 100644
--- a/src/montgomery.rs
+++ b/src/montgomery.rs
@@ -476,7 +476,7 @@ mod test {
         let mut csprng: OsRng = OsRng;
 
         let s: Scalar = Scalar::random(&mut csprng);
-        let p_edwards: EdwardsPoint = &constants::ED25519_BASEPOINT_TABLE * &s;
+        let p_edwards: EdwardsPoint = constants::ED25519_BASEPOINT_TABLE * &s;
         let p_montgomery: MontgomeryPoint = p_edwards.to_montgomery();
 
         let expected = s * p_edwards;
diff --git a/src/ristretto.rs b/src/ristretto.rs
index db36b47ab..cbca349ac 100644
--- a/src/ristretto.rs
+++ b/src/ristretto.rs
@@ -1034,13 +1034,14 @@ impl RistrettoPoint {
 /// A precomputed table of multiples of the Ristretto basepoint is
 /// available in the `constants` module:
 /// ```
-/// use curve25519_dalek::constants;
+/// use curve25519_dalek::constants::RISTRETTO_BASEPOINT_TABLE;
 /// use curve25519_dalek::scalar::Scalar;
 ///
 /// let a = Scalar::from(87329482u64);
-/// let P = &a * &constants::RISTRETTO_BASEPOINT_TABLE;
+/// let P = &a * RISTRETTO_BASEPOINT_TABLE;
 /// ```
 #[derive(Clone)]
+#[repr(transparent)]
 pub struct RistrettoBasepointTable(pub(crate) EdwardsBasepointTable);
 
 impl<'a, 'b> Mul<&'b Scalar> for &'a RistrettoBasepointTable {
@@ -1157,7 +1158,7 @@ mod test {
     use rand_core::OsRng;
 
     use super::*;
-    use crate::constants;
+    use crate::constants::RISTRETTO_BASEPOINT_TABLE;
     use crate::edwards::CompressedEdwardsY;
     use crate::scalar::Scalar;
     use crate::traits::Identity;
@@ -1354,7 +1355,7 @@ mod test {
     #[test]
     fn four_torsion_random() {
         let mut rng = OsRng;
-        let B = &constants::RISTRETTO_BASEPOINT_TABLE;
+        let B = RISTRETTO_BASEPOINT_TABLE;
         let P = B * &Scalar::random(&mut rng);
         let P_coset = P.coset4();
         for point in P_coset {
@@ -1680,7 +1681,7 @@ mod test {
     #[test]
     fn random_roundtrip() {
         let mut rng = OsRng;
-        let B = &constants::RISTRETTO_BASEPOINT_TABLE;
+        let B = RISTRETTO_BASEPOINT_TABLE;
         for _ in 0..100 {
             let P = B * &Scalar::random(&mut rng);
             let compressed_P = P.compress();
@@ -1711,7 +1712,7 @@ mod test {
     fn vartime_precomputed_vs_nonprecomputed_multiscalar() {
         let mut rng = rand::thread_rng();
 
-        let B = &crate::constants::RISTRETTO_BASEPOINT_TABLE;
+        let B = RISTRETTO_BASEPOINT_TABLE;
 
         let static_scalars = (0..128)
             .map(|_| Scalar::random(&mut rng))


Test patch: