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Integer Points on A^4+20020*B^4=C^4+20020*D^4


[2026.08.03]A^4+20020*B^4=C^4+20020*D^4の整点


■Diophantine Equation
       A^4+n*B^4=C^4+n*D^4 ----------(1)
を満たす自明でない整数の組(A,B,C,D) (ただし 0 < A < C, 0 < D < Bかつgcd(A,B,C,D)=1)を探す。

以下では、Elkiesの論文(参考文献[1])の方法によって、(1)を満たす整数の組(A,B,C,D)を探す。

■(1)およびD!=0より、A/D=y,B/D=x.C/D=tとすると、
       y^4+n*x^4 = t^4+n ----------(2)
       y^4-t^4= y n(1-x^4)
       (y^2+t^2)*(x^2-t^2) = n*(1+x^2)*(1-x^2)
つまり、(2)を満たす有理数の組(x,y,t)を見つければ良い。

ここで、ある有理数u > 0に対して、
       y^2+t^2 = (n/u)*(1+x^2) ----------(2a)
       y^2-t^2 = u*(1-x^2) ----------(2b)
よって、
       2*u*y^2 = (n+u^2)*x^2+(n-u^2) ----------(3a)
       2*u*t^2 = (n-u^2)*x^2+(n+u^2) ----------(3b)
を満たす有理数の組(x,y,t)が存在すれば、(x,y,t)が(2)を満たすことが分かる。

[pari/gpによる計算]
gp > YY2(n,u,x)
%1 = (1/(2*u)*n - 1/2*u)*x^2 + (1/(2*u)*n + 1/2*u)
gp > TT2(n,u,x)
%2 = (1/(2*u)*n + 1/2*u)*x^2 + (1/(2*u)*n - 1/2*u)
gp > YY2(n,u,x)^2+n*x^4-TT2(n,u,x)^2-n
%3 = 0

■2次曲線(3a),(3b)は、n=u^2のときはsoncularであり、それ以外のときはnon-singularである。
2次曲線(3a)の右辺の判別式は
    -4*(n+u^2)*(n-u^2)
となる。ここで、nが平方数でなければ、任意の有理数uについて、判別式は0にならないので、2次曲線(3a)は常にnon-singularである。
nが平方数であるならば、n=u^2のときに限り、2次曲線(3a)はsingularであり。それ以外のuにつては、non-singularである。

同様に、2次曲線(3b)の右辺の判別式は
    -4*(n-u^2)*(n+u^2)
となる。nが平方数でなければ、任意の有理数uについて、判別式は0にならないので、2次曲線(3b)は常にnon-singularである。
nが平方数であるならば、n=u^2のときに限り、2次曲線(3b)はsingularであり。それ以外のuにつては、non-singularである。

■以下では、n=20020とする。

Pari/GPで簡単なプログラム("a45s.gp")を作成して、max{A,B,C,D} <= 100000の範囲で、小さい整数解を探すと、18個の整数解
    1487^4+20020*4353^4=51537^4+20020*1607^4
    1994^4+20020*455^4=5426^4+20020*137^4
    2451^4+20020*1214^4=13693^4+20020*804^4
    2474^4+20020*353^4=3818^4+20020*287^4
    5967^4+20020*701^4=7969^4+20020*567^4
    7039^4+20020*1855^4=13969^4+20020*1781^4
    8049^4+20020*683^4=9617^4+20020*45^4
    11764^4+20020*573^4=11952^4+20020*461^4
    15418^4+20020*9003^4=91494^4+20020*7445^4
    22816^4+20020*5675^4=36236^4+20020*5573^4
    22822^4+20020*3285^4=36066^4+20020*2597^4
    26714^4+20020*6327^4=62386^4+20020*5433^4
    30332^4+20020*509^4=30344^4+20020*115^4
    33741^4+20020*10334^4=86563^4+20020*9648^4
    44533^4+20020*3348^4=50331^4+20020*1118^4
    47681^4+20020*6975^4=82449^4+20020*4219^4
    48236^4+20020*7751^4=93136^4+20020*3319^4
    58057^4+20020*2070^4=58521^4+20020*76^4
が見つかった。
これらの整数解から、(3a),(3b)を満たす有理数uをいくつか求めると、
    u = 77/2, 77/26, 1001/5, 5005/37, 6497/40, 8008/145, 13013/41, 22484/377, 23485/34, 33341/173, 44968/205, 45045/149, 60541/270, 92105/58, 156325/268. 208585/616, 820820/5597
となる。
[gp2cによる計算]
gp > sss(20020,100000)
1:1487^4+20020*4353^4=51537^4+20020*1607^4
2:1994^4+20020*455^4=5426^4+20020*137^4
3:2451^4+20020*1214^4=13693^4+20020*804^4
4:2474^4+20020*353^4=3818^4+20020*287^4
5:5967^4+20020*701^4=7969^4+20020*567^4
6:7039^4+20020*1855^4=13969^4+20020*1781^4
7:8049^4+20020*683^4=9617^4+20020*45^4
8:11764^4+20020*573^4=11952^4+20020*461^4
9:15418^4+20020*9003^4=91494^4+20020*7445^4
10:22816^4+20020*5675^4=36236^4+20020*5573^4
11:22822^4+20020*3285^4=36066^4+20020*2597^4
12:26714^4+20020*6327^4=62386^4+20020*5433^4
13:30332^4+20020*509^4=30344^4+20020*115^4
14:33741^4+20020*10334^4=86563^4+20020*9648^4
15:44533^4+20020*3348^4=50331^4+20020*1118^4
16:47681^4+20020*6975^4=82449^4+20020*4219^4
17:48236^4+20020*7751^4=93136^4+20020*3319^4
18:58057^4+20020*2070^4=58521^4+20020*76^4
18 solutions,
time = 30h, 46min, 13,808 ms.
%1 = 18
{Pari/GPによる計算]
gp > uu(20020,1487,4353,51537,1607)
[u, -1; 40*u + 6497, 1; 204577*u - 33173140, 1]
[u, -1; 40*u - 6497, 1; 204577*u - 33173140, 1]
[u, -1; 40*u + 6497, 1; 204577*u + 33173140, 1]
time = 1 ms.
%1 = [-6497/40, 33173140/204577]
gp > uu(20020,1994,455,5426,137)
[u, -1; 37*u - 5005, 1; 636*u + 112897, 1]
[u, -1; 37*u - 5005, 1; 636*u - 112897, 1]
[u, -1; 37*u + 5005, 1; 636*u + 112897, 1]
time = 1 ms.
%2 = [5005/37, -112897/636]
gp > uu(20020,2451,1214,13693,804)
[u, -1; 205*u - 44968, 1; 2018*u + 471965, 1]
[u, -1; 205*u - 44968, 1; 2018*u - 471965, 1]
[u, -1; 205*u + 44968, 1; 2018*u + 471965, 1]
time = 1 ms.
%3 = [44968/205, -471965/2018]
gp > uu(20020,2474,353,3818,287)
[u, -1; 5*u - 1001, 1; 1056*u + 517445, 1]
[u, -1; 5*u - 1001, 1; 1056*u - 517445, 1]
[u, -1; 5*u + 1001, 1; 1056*u + 517445, 1]
time = 1 ms.
%4 = [1001/5, -517445/1056]
gp > uu(20020,5967,701,7969,567)
[u, -1; 268*u + 156325, 1; 317*u - 52052, 1]
[u, -1; 268*u - 156325, 1; 317*u - 52052, 1]
[u, -1; 268*u + 156325, 1; 317*u + 52052, 1]
time = 1 ms.
%5 = [52052/317, -156325/268]
gp > uu(20020,7039,1855,13969,1781)
[u, -1; 37*u - 20020, 1; 3636*u + 3306493, 1]
[u, -1; 37*u - 20020, 1; 3636*u - 3306493, 1]
[u, -1; 37*u + 20020, 1; 3636*u + 3306493, 1]
time = 1 ms.
%6 = [20020/37, -3306493/3636]
gp > uu(20020,8049,683,9617,45)
[u, -1; 377*u - 22484, 1; 616*u + 208585, 1]
[u, -1; 377*u - 22484, 1; 616*u - 208585, 1]
[u, -1; 377*u + 22484, 1; 616*u + 208585, 1]
time = 1 ms.
%7 = [22484/377, -208585/616]
gp > uu(20020,11764,573,11952,461)
[u, -1; 2*u - 77, 1; 7238*u + 17577625, 1]
[u, -1; 2*u - 77, 1; 7238*u - 17577625, 1]
[u, -1; 2*u + 77, 1; 7238*u + 17577625, 1]
time = 1 ms.
%8 = [77/2, -17577625/7238]
gp > uu(20020,15418,9003,91494,7445)
[u, -1; 41*u - 13013, 1; 78128*u + 26246545, 1]
[u, -1; 41*u - 13013, 1; 78128*u - 26246545, 1]
[u, -1; 41*u + 13013, 1; 78128*u + 26246545, 1]
time = 1 ms.
%9 = [13013/41, -26246545/78128]
parisize = 6144000000, primelimit = 100000000
gp > uu(20020,22816,5675,36236,5573)
[u, -1; 34*u - 23485, 1; 4218*u + 6741241, 1]
[u, -1; 34*u - 23485, 1; 4218*u - 6741241, 1]
[u, -1; 34*u + 23485, 1; 4218*u + 6741241, 1]
time = 2 ms.
%10 = [23485/34, -6741241/4218]
gp > uu(20020,22822,3285,36066,2597)
[u, -1; 173*u - 33341, 1; 2924*u + 1316185, 1]
[u, -1; 173*u - 33341, 1; 2924*u - 1316185, 1]
[u, -1; 173*u + 33341, 1; 2924*u + 1316185, 1]
time = 1 ms.
%11 = [33341/173, -1316185/2924]
gp > uu(20020,26714,6327,62386,5433)
[u, -1; 149*u - 45045, 1; 8820*u + 3863801, 1]
[u, -1; 149*u - 45045, 1; 8820*u - 3863801, 1]
[u, -1; 149*u + 45045, 1; 8820*u + 3863801, 1]
time = 1 ms.
%12 = [45045/149, -3863801/8820]
gp > uu(20020,30332,509,30344,115)
[u, -1; 26*u - 77, 1; 1182*u + 8849945, 1]
[u, -1; 26*u - 77, 1; 1182*u - 8849945, 1]
[u, -1; 26*u + 77, 1; 1182*u + 8849945, 1]
time = 1 ms.
%13 = [77/26, -8849945/1182]
gp > uu(20020,33741,10334,86563,9648)
[u, -1; 97*u - 44968, 1; 70658*u + 44492825, 1]
[u, -1; 97*u - 44968, 1; 70658*u - 44492825, 1]
[u, -1; 97*u + 44968, 1; 70658*u + 44492825, 1]
time = 1 ms.
%14 = [44968/97, -44492825/70658]
gp > uu(20020,44533,3348,50331,1118)
[u, -1; 145*u - 8008, 1; 34342*u + 15573785, 1]
[u, -1; 145*u - 8008, 1; 34342*u - 15573785, 1]
[u, -1; 145*u + 8008, 1; 34342*u + 15573785, 1]
time = 1 ms.
%15 = [8008/145, -15573785/34342]
gp > uu(20020, 47681, 6975, 82449, 4219)
[u, -1; 2756*u + 810373, 1; 5597*u - 820820, 1]
[u, -1; 2756*u - 810373, 1; 5597*u - 820820, 1]
[u, -1; 2756*u + 810373, 1; 5597*u + 820820, 1]
time = 1 ms.
%16 = [-810373/2756, 820820/5597]
gp > uu(20020,48236,7751,93136,3319)
[u, -1; 270*u + 60541, 1; 22714*u - 2938705, 1]
[u, -1; 270*u - 60541, 1; 22714*u - 2938705, 1]
[u, -1; 270*u + 60541, 1; 22714*u + 2938705, 1]
time = 1 ms.
%17= [-60541/270, 2938705/22714]
gp > uu(20020,58057,2070,58521,76)
[u, -1; 58*u + 92105, 1; 36889*u - 466312, 1]
[u, -1; 58*u - 92105, 1; 36889*u - 466312, 1]
[u, -1; 58*u + 92105, 1; 36889*u + 466312, 1]
time = 1 ms.
%18 = [-92105/58, 466312/36889]

■有理数uの高さが小さいものから、順に調べる。
例えば、有理数uの高さが200以下の範囲で、2つの2次曲線(3a)と(3b)が共に有理点を持つようなuを選択すると、1704個のuが抽出される。
[MAGMAによる計算]
> PP(20020,1,200);
**u= 1 , ht= 67 ; ( 7/67 , 6740/67 ), ( 23/199 , 20042/199 )
**u= 1/3 , ht= 655 ; ( -2099/485 , -373322/485 ), ( -137/655 , -115962/655 )
**u= 1/7 , ht= 815 ; ( 815/661 , -277772/661 ), ( 661/815 , 277772/815 )
**u= 1/9 , ht= 1749 ; ( 421/1749 , -1619870/5247 ), ( 419/1751 , -540400/1751 )
**u= 1/10 , ht= 622 ; ( -622/133 , 402481/266 ), ( 5333/963 , -1714574/963 )
**u= 1/13 , ht= 16105 ; ( -66665/92247 , -13685634/30749 ), ( -16105/14757 , -7879736/14757 )
**u= 1/16 , ht= 3197 ; ( -129/3197 , -2560961/6394 ), ( -127/3199 , 1281248/3199 )
**u= 1/19 , ht= 2081 ; ( 340587/23629 , 148889662/23629 ), ( -389/2081 , 923260/2081 )
**u= 1/21 , ht= 1249 ; ( -1193/1417 , -849270/1417 ), ( -1249/767 , -672006/767 )
**u= 1/22 , ht= 3642 ; ( 23/3642 , -1139425/2428 ), ( 6330/25217 , 24401739/50434 )
**u= 1/24 , ht= 3874 ; ( 1447/3874 , -8107783/15496 ), ( -3874/1447 , 8107783/5788 )
**u= 1/25 , ht= 1663 ; ( -113/1663 , -833834/1663 ), ( -337/4991 , 12512162/24955 )
**u= 1/39 , ht= 76573 ; ( -76573/41441 , 54400928/41441 ), ( -109079/3007 , -68179758/3007 )
**u= 1/41 , ht= 174201 ; ( 276869/62283 , 60601266/20761 ), ( -174201/46871 , 115567830/46871 )
**u= 1/45 , ht= 16373 ; ( -25891/46141 , 35510010/46141 ), ( -16373/7787 , -12168342/7787 )
**u= 1/46 , ht= 20373 ; ( -20373/4996 , -28468313/9992 ), ( -61139/133 , 41487314/133 )
**u= 1/49 , ht= 79 ; ( -79/43 , -440948/301 ), ( 2893/9369 , 48070912/65583 )
**u= 1/51 , ht= 3019 ; ( -401/3019 , 2176020/3019 ), ( 3019/401 , 2176020/401 )
**u= 1/55 , ht= 36667 ; ( -36667/4723 , 27431338/4723 ), ( 3561677/118567 , -2644194688/118567 )
**u= 1/60 , ht= 44987 ; ( -33941/80149 , -67454116/80149 ), ( -44987/133 , 34864352/133 )
**u= 1/63 , ht= 12655 ; ( -10711/12655 , 13166022/12655 ), ( -12655/10711 , -13166022/10711 )
**u= 1/72 , ht= 560 ; ( 560/241 , 2070277/964 ), ( 241/560 , 2070277/2240 )
**u= 1/76 , ht= 400703 ; ( -499001/112419 , -49571655/12491 ), ( -400703/25619 , -350212993/25619 )
**u= 1/78 , ht= 111895 ; ( 111895/28409 , 102009284/28409 ), ( 126437/6005 , 111847888/6005 )
**u= 1/82 , ht= 174036 ; ( 217548/124765 , 454419151/249530 ), ( 94619/174036 , -358943065/348072 )
**u= 1/84 , ht= 9439 ; ( -8033/9439 , 11365432/9439 ), ( -37567/16193 , -37511860/16193 )
**u= 1/100 , ht= 5437 ; ( -5437/3863 , -6672947/3863 ), ( -16313/11591 , -100108156/57955 )
**u= 1/108 , ht= 47051 ; ( 47051/27125 , -56468688/27125 ), ( -145481/35639 , 467209700/106917 )
**u= 1/109 , ht= 108007 ; ( -108007/96259 , 151122268/96259 ), ( 3115741/3941961 , -5248489160/3941961 )
**u= 1/111 , ht= 97487 ; ( 2059681/217303 , -2183143022/217303 ), ( 2471/97487 , 102793274/97487 )
**u= 1/114 , ht= 52048 ; ( -62297/183031 , -206536328/183031 ), ( 33409/52048 , 132136869/104096 )
**u= 1/123 , ht= 4115 ; ( 2393/4115 , 5281976/4115 ), ( 25747063/5104465 , -29125188678/5104465 )
**u= 1/124 , ht= 11719 ; ( 11719/2233 , -13291156/2233 ), ( 2264057/130699 , 2526606901/130699 )
**u= 1/126 , ht= 21509 ; ( 34219/4861 , -38815750/4861 ), ( -21509/93 , 72468262/279 )
**u= 1/129 , ht= 129353 ; ( 71801/129353 , 168116674/129353 ), ( -391243/50597 , 23594270/2663 )
**u= 1/131 , ht= 1574841 ; ( 5727803/2329401 , -2360235668/776467 ), ( 1574841/730939 , -1988166900/730939 )
**u= 1/135 , ht= 21307 ; ( -13489/50171 , 181181248/150513 ), ( 21307/12913 , -86887616/38739 )
**u= 1/136 , ht= 44569 ; ( 7492/44569 , -210926071/178276 ), ( -352381/2307 , -411157564/2307 )
**u= 1/138 , ht= 41737 ; ( -36670/41737 , -130596459/83474 ), ( -30347/110482 , 269322625/220964 )
**u= 1/144 , ht= 28669 ; ( -2891/28671 , 207581695/172026 ), ( -2889/28669 , 207565915/172014 )
**u= 1/145 , ht= 15691 ; ( -1360839/137591 , -1647844978/137591 ), ( 6121/15691 , 20291348/15691 )
**u= 1/149 , ht= 62649 ; ( 62053/62649 , 35896516/20883 ), ( 87603/90601 , -153912564/90601 )
**u= 1/151 , ht= 53957 ; ( 42481/53957 , -84429088/53957 ), ( 574729/458459 , 903862960/458459 )
**u= 1/154 , ht= 9459 ; ( -9459/6557 , 14289964/6557 ), ( 2902679/1526766 , 8144118665/3053532 )
**u= 1/158 , ht= 89299 ; ( 9443/246675 , -103482628/82225 ), ( 23829/89299 , -116232810/89299 )
**u= 1/159 , ht= 232021 ; ( -76853927/4199821 , 97102219872/4199821 ), ( 232021/138317 , 340779842/138317 )
**u= 1/160 , ht= 193797 ; ( -193797/22277 , 246873556/22277 ), ( -1016641/25734 , 10296123125/205872 )
**u= 1/166 , ht= 173617 ; ( 173617/66879 , -79944052/22293 ), ( -10577198/645149 , -27319834771/1290298 )
**u= 1/167 , ht= 70476975 ; ( 1233097/70476975 , 10126199622/7830775 ), ( 729972906759/7172493029 ,
-943849998417060/7172493029 )
**u= 1/171 , ht= 152733 ; ( -81157/152733 , -678847690/458199 ), ( -710157417/45677707 , 2793106463180/137033121 )
**u= 1/174 , ht= 29681 ; ( -258193/169064 , -814602291/338128 ), ( -9788/29681 , -82492997/59362 )
**u= 1/178 , ht= 240119 ; ( -240119/6055 , -320620732/6055 ), ( -17399/380431 , -508342790/380431 )
**u= 1/183 , ht= 174535 ; ( 263695/1273 , -356902458/1273 ), ( -174535/10661 , -236664868/10661 )
**u= 1/186 , ht= 744559 ; ( -3367249/189257 , -4601862478/189257 ), ( -684479/744559 , -1380021240/744559 )
**u= 1/189 , ht= 247237 ; ( -26177/247237 , -1025896100/741711 ), ( 13387643/1065599 , -18472405596/1065599 )
**u= 1/193 , ht= 112401 ; ( 127876621/8806365 , 59387218594/2935455 ), ( 112401/46781 , -169221540/46781 )
**u= 1/196 , ht= 10277 ; ( 10277/8081 , 128185427/56567 ), ( 30833/24241 , 384559576/169687 )
**u= 2/3 , ht= 1187 ; ( -1187/494 , 78771/247 ), ( 3142/143 , 385410/143 )
**u= 2/19 , ht= 1002 ; ( -21751/32646 , 2016175/5441 ), ( 1002/185 , -314214/185 )
**u= 2/23 , ht= 1024 ; ( 94757/3844 , 16088081/1922 ), ( 1024/333 , -9874/9 )
**u= 2/35 , ht= 3449 ; ( -3449/2574 , -300205/429 ), ( 2574/3449 , 1801230/3449 )
**u= 2/51 , ht= 42905 ; ( 42905/286 , 10838637/143 ), ( -96382/47167 , -54213110/47167 )
**u= 2/135 , ht= 10433 ; ( -15701/74104 , -1583017/1884 ), ( 8732/10433 , -11183214/10433 )
**u= 2/147 , ht= 34571 ; ( 340511/357202 , -1481544853/1250207 ), ( 29774/34571 , -273944190/241997 )
**u= 2/163 , ht= 30354 ; ( -12841/30354 , -4961475/5059 ), ( 6747462/112873 , 6095327550/112873 )
**u= 2/183 , ht= 61568 ; ( -51503/61568 , 38410295/30784 ), ( 638044/247949 , -655117090/247949 )
**u= 4 , ht= 89 ; ( 37/89 , 4823/89 ), ( 41/93 , -5083/93 )
**u= 4/9 , ht= 863 ; ( -257/867 , 407135/2601 ), ( 253/863 , -134965/863 )
**u= 4/13 , ht= 5485 ; ( -5149/5485 , 1356929/5485 ), ( 86741/135725 , -29052763/135725 )
**u= 4/25 , ht= 277 ; ( -277/23 , -69523/23 ), ( -627/1327 , 367101/1327 )
**u= 4/29 , ht= 17423 ; ( 17423/5487 , 1640295/1829 ), ( 23271/4073 , 6364341/4073 )
**u= 4/49 , ht= 1471 ; ( 3689/4741 , 14724865/33187 ), ( -1471/709 , 4002725/4963 )
**u= 4/65 , ht= 389 ; ( 389/129 , 55097/43 ), ( 5091/7249 , -3572607/7249 )
**u= 4/69 , ht= 18557 ; ( -4091/57043 , -23764463/57043 ), ( -18557/14149 , -9696903/14149 )
**u= 4/81 , ht= 7993 ; ( -7993/1333 , 10945045/3999 ), ( -1341/7993 , -32840483/71937 )
**u= 4/129 , ht= 113353 ; ( 10669/113353 , 64688957/113353 ), ( -3340319/173899 , -1900455005/173899 )
**u= 4/137 , ht= 372121 ; ( 372121/290685 , 92161821/96895 ), ( -10051647/2575643 , 6075664335/2575643 )
**u= 4/153 , ht= 1132151 ; ( 608619/1132151 , -2386069495/3396453 ), ( 6713009/4001475 , -14507425471/12004425 )
**u= 4/173 , ht= 31223 ; ( 31223/28455 , 9265199/9485 ), ( -28455/31223 , -27795597/31223 )
**u= 5/6 , ht= 287 ; ( 287/4 , 62915/8 ), ( -596/331 , -149439/662 )
**u= 5/9 , ht= 1099 ; ( 1633/347 , -224092/347 ), ( -1099/703 , 175120/703 )
**u= 5/11 , ht= 467 ; ( 467/203 , 75566/203 ), ( -309/2573 , 384570/2573 )
**u= 5/14 , ht= 559 ; ( -559/22 , -187315/44 ), ( 22/559 , 187315/1118 )
**u= 5/16 , ht= 10143 ; ( -17513/3627 , 2133929/2418 ), ( 10143/1157 , 3654237/2314 )
**u= 5/21 , ht= 607 ; ( -29681/6271 , -6220178/6271 ), ( -607/79 , -125510/79 )
**u= 5/24 , ht= 1211 ; ( 1211/59 , -265764/59 ), ( 59/1211 , -265764/1211 )
**u= 5/29 , ht= 26849 ; ( 33673/19687 , -9398522/19687 ), ( 26849/401 , 6470054/401 )
**u= 5/34 , ht= 2661 ; ( -9002/10209 , 2367395/6806 ), ( 2661/1267 , -768930/1267 )
**u= 5/51 , ht= 563 ; ( -208969/94481 , 73280438/94481 ), ( 427/563 , -225786/563 )
**u= 5/56 , ht= 2591 ; ( 2591/1191 , 318271/397 ), ( 4762/3887 , 8232811/15548 )
**u= 5/59 , ht= 979 ; ( -201/979 , 343484/979 ), ( 979/201 , 343484/201 )
**u= 5/74 , ht= 10476 ; ( -10476/5629 , -9154867/11258 ), ( 227969/18044 , -176039407/36088 )
**u= 5/81 , ht= 3161 ; ( 3161/1091 , -4039796/3273 ), ( 15391/6273 , 60235870/56457 )
**u= 5/84 , ht= 15061 ; ( 15061/6101 , -6663764/6101 ), ( -20101/39301 , 18102356/39301 )
**u= 5/111 , ht= 67 ; ( 7/67 , 31756/67 ), ( -67168277/7047581 , -31837230910/7047581 )
**u= 5/116 , ht= 12493 ; ( 12493/9593 , 7590581/9593 ), ( 120551/5421 , 58152787/5421 )
**u= 5/129 , ht= 119363 ; ( -119363/99679 , -79028880/99679 ), ( -536677/111419 , 278550010/111419 )
**u= 5/141 , ht= 853 ; ( 853/7 , 453216/7 ), ( 8621/4386013 , -2330302670/4386013 )
**u= 5/144 , ht= 13789 ; ( -2379/38449 , -124102159/230694 ), ( -13789/10639 , 18702397/21278 )
**u= 5/146 , ht= 245157 ; ( 13163/245157 , -44244228/81719 ), ( -1327101/143771 , 721682442/143771 )
**u= 5/149 , ht= 244677 ; ( -1316589/103679 , 721303124/103679 ), ( -181463/244677 , -166375352/244677 )
**u= 5/151 , ht= 36549 ; ( -651221/199731 , 124838766/66577 ), ( 36549/12979 , 21324822/12979 )
**u= 5/156 , ht= 227 ; ( 3530701/878717 , 8957350/3871 ), ( 227/163 , 156176/163 )
**u= 5/161 , ht= 88547 ; ( 76229/200521 , -121791248/200521 ), ( -24797/88547 , -52205186/88547 )
**u= 5/164 , ht= 37243 ; ( 37243/35327 , -29413547/35327 ), ( -408711/242041 , 272176716/242041 )
**u= 5/169 , ht= 1597 ; ( 1597/93 , 310166/31 ), ( 185493/35083 , 109808238/35083 )
**u= 5/174 , ht= 49847 ; ( -49847/34282 , -71412781/68564 ), ( -1178/63347 , -74789009/126694 )
**u= 5/179 , ht= 24141 ; ( 24141/2303 , -14517140/2303 ), ( 1669/42481 , 25450024/42481 )
**u= 5/189 , ht= 167821 ; ( 61309/167821 , -329711338/503463 ), ( 29639/306181 , 567659308/918543 )
**u= 5/196 , ht= 1493 ; ( 12559/15171 , -28786567/35399 ), ( 987/1493 , 7847862/10451 )
**u= 7/15 , ht= 287 ; ( 350057/60647 , -52032178/60647 ), ( -53/287 , -42744/287 )
**u= 7/18 , ht= 667 ; ( 1263/28 , -1216085/168 ), ( 667/107 , -108380/107 )
**u= 7/22 , ht= 1579 ; ( 259/1579 , 283810/1579 ), ( 1579/259 , 283810/259 )
**u= 7/37 , ht= 55711 ; ( -381451/43863 , 29440044/14621 ), ( 18363/55711 , -13492908/55711 )
**u= 7/43 , ht= 21999 ; ( -21999/17647 , -6993386/17647 ), ( 189143/76311 , -50575594/76311 )
**u= 7/46 , ht= 3065 ; ( -3065/2961 , -121446/329 ), ( 33249/17080 , 19173873/34160 )
**u= 7/58 , ht= 5662 ; ( 26753/17618 , -18450595/35236 ), ( -5662/3241 , -3757723/6482 )
**u= 7/60 , ht= 4087 ; ( 50447/69197 , 25083505/69197 ), ( -1253/4087 , -20527/67 )
**u= 7/64 , ht= 1255 ; ( 231/1255 , 386044/1255 ), ( 3937/1603 , -5143895/6412 )
**u= 7/78 , ht= 539 ; ( -539/227 , 195326/227 ), ( 4021/1603 , 1445698/1603 )
**u= 7/79 , ht= 2769 ; ( 202075/21323 , -68296514/21323 ), ( 1505/2769 , 1059274/2769 )
**u= 7/81 , ht= 13123 ; ( -21649/19175 , -9842538/19175 ), ( -9595/13123 , -16598222/39369 )
**u= 7/88 , ht= 5103 ; ( 5103/857 , -1835585/857 ), ( 67483/10118 , -96825835/40472 )
**u= 7/100 , ht= 301 ; ( -295/301 , -796877/1505 ), ( 6343/3445 , 13647839/17225 )
**u= 7/102 , ht= 19 ; ( -2/19 , 14593/38 ), ( -19/2 , -14593/4 )
**u= 7/106 , ht= 15305 ; ( -24595/12134 , 21355147/24268 ), ( 15305/1631 , -5992478/1631 )
**u= 7/107 , ht= 10119 ; ( 97357/125391 , -20699032/41797 ), ( 10119/2201 , 4050750/2201 )
**u= 7/127 , ht= 11813 ; ( -167317/48699 , -8251354/5411 ), ( 10539/11813 , -6746454/11813 )
**u= 7/130 , ht= 2947 ; ( 2947/1192 , -2741273/2384 ), ( -93127/177143 , 86288576/177143 )
**u= 7/141 , ht= 9835 ; ( -62513/162523 , -78190440/162523 ), ( 6169/9835 , -5213104/9835 )
**u= 7/151 , ht= 20899 ; ( -20899/9905 , 10746908/9905 ), ( -711245/523331 , 410329498/523331 )
**u= 7/156 , ht= 79499 ; ( 55865/79499 , 45892221/79499 ), ( 79499/55865 , 45892221/55865 )
**u= 7/163 , ht= 10631 ; ( 10631/4039 , 5490530/4039 ), ( 1657863/423973 , 826165140/423973 )
**u= 7/165 , ht= 158509 ; ( -158509/29371 , 78305882/29371 ), ( 2316577/85117 , -1126029336/85117 )
**u= 7/179 , ht= 18785 ; ( -18785/16299 , -4194256/5433 ), ( 516249/130325 , 269382432/130325 )
**u= 7/186 , ht= 1585225 ; ( -1585225/38927 , 817798462/38927 ), ( -3754589/134485 , -1937605366/134485 )
**u= 7/190 , ht= 41813 ; ( -33187/41813 , -27825610/41813 ), ( -153783/518393 , 281850636/518393 )
**u= 7/193 , ht= 277847 ; ( 277847/221491 , 186670108/221491 ), ( 1782223/61 , -936286436/61 )
**u= 9 , ht= 191 ; ( 61/209 , 21820/627 ), ( 79/191 , 20650/573 )
**u= 9/2 , ht= 193 ; ( 15/193 , 27404/579 ), ( 193/15 , 27404/45 )
**u= 9/4 , ht= 781 ; ( 49/781 , -156605/2343 ), ( -31/799 , 159980/2397 )
**u= 9/5 , ht= 1293 ; ( -1293/467 , -307538/1401 ), ( -467/1293 , 307538/3879 )
**u= 9/7 , ht= 8915 ; ( 35915/24253 , 11471446/72759 ), ( -8915/1529 , 2394416/4587 )
**u= 9/14 , ht= 3013 ; ( 12471/88 , 9337243/528 ), ( 1389/3013 , -1242002/9039 )
**u= 9/16 , ht= 2851 ; ( 1421/2851 , -1274845/8553 ), ( -1403/2869 , 1278103/8607 )
**u= 9/26 , ht= 6789 ; ( -4469/6789 , 4146500/20367 ), ( -4041/11338 , 12281087/68028 )
**u= 9/31 , ht= 10753 ; ( 3961/15059 , 8674040/45177 ), ( -5243/10753 , 6664100/32259 )
**u= 9/32 , ht= 9165 ; ( 9165/1493 , 10510927/8958 ), ( -27835/6717 , 32411911/40302 )
**u= 9/35 , ht= 37599 ; ( 138479/25989 , -83397112/77967 ), ( 37599/11639 , -23296922/34917 )
**u= 9/38 , ht= 123875 ; ( -123875/19347 , 77325932/58041 ), ( -287650/17091 , 355442251/102546 )
**u= 9/43 , ht= 17273 ; ( -17273/1475 , -11373556/4425 ), ( 60919/145285 , 103357456/435855 )
**u= 9/46 , ht= 82097 ; ( -82097/30143 , 59345020/90429 ), ( 356828/62129 , -491553139/372774 )
**u= 9/49 , ht= 7639 ; ( -48991/1903 , 240356822/39963 ), ( -7639/6169 , -6876670/18507 )
**u= 9/50 , ht= 4540 ; ( 4540/3867 , -42190547/116010 ), ( -26435/1221 , 93608326/18315 )
**u= 9/64 , ht= 12041 ; ( 46297/57739 , 236944447/692868 ), ( 4343/12041 , -10245344/36123 )
**u= 9/65 , ht= 112419 ; ( 166443/669413 , 556408678/2008239 ), ( 112419/54829 , -100890722/164487 )
**u= 9/68 , ht= 25175 ; ( -739855/28851 , 610868699/86553 ), ( 25175/12969 , -23364268/38907 )
**u= 9/73 , ht= 28717 ; ( 502493/403505 , -550893316/1210515 ), ( -5155/28717 , 24940454/86151 )
**u= 9/91 , ht= 133597 ; ( -94009/226129 , -233728750/678387 ), ( 108481/133597 , -164249104/400791 )
**u= 9/92 , ht= 312515 ; ( -312515/243027 , -379912754/729081 ), ( 2959965/532637 , -2886141472/1597911 )
**u= 9/94 , ht= 93644 ; ( -10995781/248264 , 21337700285/1489584 ), ( 93644/91999 , 254678095/551994 )
**u= 9/95 , ht= 28131 ; ( 18251/28131 , -32700122/84393 ), ( 470983/208593 , 502316006/625779 )
**u= 9/97 , ht= 13573 ; ( -2317393/2684897 , 3494826910/8054691 ), ( 13573/9887 , -16546700/29661 )
**u= 9/100 , ht= 19529 ; ( 735847/82379 , 3704069207/1235685 ), ( 4343/19529 , -100080416/292935 )
**u= 9/104 , ht= 26434 ; ( 10599/193223 , -197444486/579669 ), ( 9573/26434 , -114740501/317208 )
**u= 9/109 , ht= 34787 ; ( 791221/179513 , -847476176/538539 ), ( -34787/27779 , 46500874/83337 )
**u= 9/110 , ht= 23799 ; ( 23799/19784 , 64950211/118704 ), ( 303148/32493 , -639850729/194958 )
**u= 9/118 , ht= 18475 ; ( -18475/3178 , -40747831/19068 ), ( -92135/429071 , -476953162/1287213 )
**u= 9/121 , ht= 123139 ; ( -123139/33217 , 1544011448/1096161 ), ( -278281/26599 , 3384238070/877767 )
**u= 9/122 , ht= 1255 ; ( -47065/49071 , -75138502/147213 ), ( 1255/279 , -1420744/837 )
**u= 9/124 , ht= 229579 ; ( -82591/229579 , -271824005/688737 ), ( -280597/229291 , -403715296/687873 )
**u= 9/130 , ht= 43781 ; ( -34961/178369 , 207345272/535107 ), ( 30781/43781 , 61051150/131343 )
**u= 9/133 , ht= 68111 ; ( 2941/68111 , 78661940/204333 ), ( 1236455/327001 , -1475711458/981003 )
**u= 9/136 , ht= 16007 ; ( 2764/16007 , -75811727/192084 ), ( 206693/296 , 964656613/3552 )
**u= 9/137 , ht= 494455 ; ( -673555/357507 , -892991906/1072521 ), ( -68889/494455 , -584626762/1483365 )
**u= 9/139 , ht= 481301 ; ( 245279/481301 , 637200880/1443903 ), ( -991957/663811 , -1407908866/1991433 )
**u= 9/143 , ht= 328021 ; ( 328021/134685 , 424246238/404055 ), ( -56035/351801 , -426208828/1055403 )
**u= 9/154 , ht= 25483 ; ( 12662/138601 , 345603839/831606 ), ( -25483/7781 , -33081436/23343 )
**u= 9/155 , ht= 193547 ; ( 193547/184557 , -333120902/553671 ), ( 344037/440447 , 696156884/1321341 )
**u= 9/158 , ht= 1121728 ; ( 946743/1121728 , 3691972945/6730368 ), ( 2705937/623497 , -3492179510/1870491 )
**u= 9/163 , ht= 278767 ; ( 278767/153257 , -406348250/459771 ), ( 11533775/394681 , 14741323442/1184043 )
**u= 9/170 , ht= 277937 ; ( 69177/277937 , 373628174/833811 ), ( 764261/122766 , -2019506417/736596 )
**u= 9/172 , ht= 64403 ; ( -64403/355 , -84507242/1065 ), ( 121283/376445 , -518952896/1129335 )
**u= 9/175 , ht= 206155 ; ( -206155/25447 , -1374622744/381705 ), ( 237229/162679 , 380714332/488037 )
**u= 9/179 , ht= 67889 ; ( -2839581/1031473 , 4044001324/3094419 ), ( -34857/67889 , 102153086/203667 )
**u= 9/182 , ht= 78978 ; ( -219055/192993 , -394051076/578979 ), ( 78978/22207 , 221468555/133242 )
**u= 9/184 , ht= 8056 ; ( 77281/39239 , -117626515/117717 ), ( 8056/3157 , -46970767/37884 )
**u= 9/187 , ht= 82183 ; ( 6032839/285581 , -8263149400/856743 ), ( -82183/3973 , -112571060/11919 )
**u= 9/194 , ht= 26268 ; ( -26268/12629 , 1112773/1038 ), ( -113077/20733 , 160203610/62199 )
**u= 9/199 , ht= 99557 ; ( 3068341/3092221 , 6148259290/9276663 ), ( -99557/58847 , 163223780/176541 )
**u= 9/200 , ht= 1001191 ; ( -1001191/35391 , 1417490371/106173 ), ( -192425/1010943 , 7280426029/15164145 )
**u= 10 , ht= 16 ; ( 15/16 , 347/8 ), ( -28/5 , 902/5 )
**u= 10/3 , ht= 4 ; ( -1/4 , -113/2 ), ( 109528/27041 , -6183830/27041 )
**u= 10/67 , ht= 4396 ; ( -20141/3376 , -2644369/1688 ), ( 4396/2587 , 1320950/2587 )
**u= 10/69 , ht= 15710 ; ( -6899/15710 , 2254659/7855 ), ( 143434/15485 , 37914922/15485 )
**u= 10/81 , ht= 2357 ; ( -12521/3112 , 1836895/1556 ), ( -404/2357 , 2042810/7071 )
**u= 10/163 , ht= 1568 ; ( 686963/181012 , -143479669/90506 ), ( 1568/1529 , 884650/1529 )
**u= 10/181 , ht= 51061 ; ( -51061/5630 , 10933007/2815 ), ( -192070/43049 , -83783626/43049 )
**u= 11/3 , ht= 331 ; ( 647/515 , 43204/515 ), ( 331/289 , 22960/289 )
**u= 11/9 , ht= 2041 ; ( 727/9439 , 856778/9439 ), ( 1613/2041 , 235424/2041 )
**u= 11/12 , ht= 685 ; ( 685/317 , 78874/317 ), ( -317/685 , 78874/685 )
**u= 11/14 , ht= 2182 ; ( -2182/821 , 526279/1642 ), ( -12883/8726 , -3512593/17452 )
**u= 11/23 , ht= 1895 ; ( -10825/2377 , 1603378/2377 ), ( 1619/1895 , 360584/1895 )
**u= 11/26 , ht= 1453 ; ( -1453/1368 , -68215/304 ), ( -1368/1453 , 613935/2906 )
**u= 11/38 , ht= 360 ; ( -360/343 , 184931/686 ), ( -152723/3875 , 28409108/3875 )
**u= 11/45 , ht= 3013 ; ( 3013/1497 , 2042468/4491 ), ( 13579/3359 , -2830688/3359 )
**u= 11/59 , ht= 111517 ; ( -277363/85841 , -67275568/85841 ), ( -111517/16041 , 26105696/16041 )
**u= 11/60 , ht= 1429 ; ( -38717/67783 , 18240275/67783 ), ( 1429/439 , -349311/439 )
**u= 11/69 , ht= 8851 ; ( 66097/24007 , 17621170/24007 ), ( -533/8851 , -2221894/8851 )
**u= 11/86 , ht= 4936 ; ( 4931/19637 , 5663998/19637 ), ( -4309/4936 , 3665965/9872 )
**u= 11/100 , ht= 2043 ; ( -37337/18141 , -20870391/30235 ), ( 2043/581 , -3203664/2905 )
**u= 11/102 , ht= 7229 ; ( 3251/7229 , 2414880/7229 ), ( 7229/3251 , 2414880/3251 )
**u= 11/108 , ht= 13625 ; ( -41581/29549 , -47975300/88647 ), ( -13625/1129 , 12858086/3387 )
**u= 11/111 , ht= 19247 ; ( -19247/9391 , -6806394/9391 ), ( -64943/315121 , 102256702/315121 )
**u= 11/119 , ht= 3791573 ; ( -3791573/164939 , -1248889582/164939 ), ( -5357141/111861 , -1763282930/111861 )
**u= 11/125 , ht= 519 ; ( 519/211 , -944776/1055 ), ( 5481/7019 , 3003540/7019 )
**u= 11/126 , ht= 58 ; ( 58/23 , 42255/46 ), ( -13149/571 , 13369930/1713 )
**u= 11/147 , ht= 1571 ; ( -1571/685 , 4387822/4795 ), ( -10885/299 , -27878518/2093 )
**u= 11/152 , ht= 3092 ; ( -8095/6271 , -3808342/6271 ), ( -945/3092 , 4809867/12368 )
**u= 11/168 , ht= 30472 ; ( 1427431/42649 , -558372700/42649 ), ( -30472/13957 , -52419285/55828 )
**u= 11/170 , ht= 10204 ; ( -33839/10464 , -9287565/6976 ), ( 10204/3251 , -8424403/6502 )
**u= 11/174 , ht= 607333 ; ( -1326383/55177 , 528250210/55177 ), ( 607333/127093 , 246904560/127093 )
**u= 11/179 , ht= 3193 ; ( 329/3193 , 1295506/3193 ), ( 43819/54917 , -28355282/54917 )
**u= 11/180 , ht= 1167 ; ( -173/1167 , -1432417/3501 ), ( 47587/16727 , -20414673/16727 )
**u= 11/181 , ht= 319683 ; ( -95531/319683 , -45136926/106561 ), ( -2061531/133999 , -838427280/133999 )
**u= 11/185 , ht= 43409 ; ( 43409/28091 , -21214960/28091 ), ( 235189/136029 , -111477442/136029 )
**u= 11/188 , ht= 27113 ; ( 150805/58779 , 7438474/6531 ), ( 14423/27113 , 12702440/27113 )
**u= 11/192 , ht= 1627 ; ( -1627/245 , 1375491/490 ), ( -2771/40751 , 68292225/163004 )
**u= 11/199 , ht= 10419 ; ( -9623/10419 , 2011844/3473 ), ( -10419/9623 , -6035532/9623 )
**u= 13/2 , ht= 166 ; ( 166/3 , 4339/2 ), ( 231/62 , 18789/124 )
**u= 13/18 , ht= 633 ; ( -102386/6073 , -24149559/12146 ), ( 41/633 , 224032/1899 )
**u= 13/19 , ht= 1845 ; ( -102009/895 , -12338782/895 ), ( -359/1845 , 227344/1845 )
**u= 13/20 , ht= 603 ; ( 233/603 , 26741/201 ), ( -603/233 , -80223/233 )
**u= 13/21 , ht= 5311 ; ( 1405/5311 , -698592/5311 ), ( -118283/8977 , 15084420/8977 )
**u= 13/34 , ht= 1515 ; ( 253/1515 , 82842/505 ), ( 3329/626 , -1096165/1252 )
**u= 13/45 , ht= 1929 ; ( 1929/569 , 1123106/1707 ), ( -11497/39173 , 7599416/39173 )
**u= 13/54 , ht= 13015 ; ( 13015/1744 , 16065769/10464 ), ( 2959/16865 , 10474492/50595 )
**u= 13/57 , ht= 91589 ; ( -48149/125131 , -28088650/125131 ), ( 91589/14981 , 19442850/14981 )
**u= 13/58 , ht= 4072 ; ( 4072/2593 , -2040385/5186 ), ( -3889/5217 , 1375124/5217 )
**u= 13/63 , ht= 1231 ; ( -1231/407 , 285562/407 ), ( -125049/23071 , -84020630/69213 )
**u= 13/67 , ht= 893 ; ( 89/893 , 203836/893 ), ( -111857/72259 , 30246724/72259 )
**u= 13/70 , ht= 1104 ; ( -89/1104 , -171427/736 ), ( -1104/89 , -514281/178 )
**u= 13/72 , ht= 217 ; ( 199/217 , -69326/217 ), ( 1219/2174 , -2347445/8696 )
**u= 13/73 , ht= 1379 ; ( 20067/103871 , 25081784/103871 ), ( -227/1379 , 331342/1379 )
**u= 13/84 , ht= 32311 ; ( -216857/30103 , -55680450/30103 ), ( 18535/32311 , -9473462/32311 )
**u= 13/97 , ht= 1289 ; ( 457/1289 , -373762/1289 ), ( -35253/14411 , 10408374/14411 )
**u= 13/99 , ht= 13501 ; ( -13501/3329 , -3839240/3329 ), ( -45073/3405 , -37440064/10215 )
**u= 13/106 , ht= 223637 ; ( -213079/356391 , -39542800/118797 ), ( -223637/12372 , 127978105/24744 )
**u= 13/110 , ht= 3953 ; ( -8267/27483 , -2784160/9161 ), ( 3282/3953 , 2990577/7906 )
**u= 13/128 , ht= 249 ; ( -14383/4209 , -3136539/2806 ), ( 249/38 , 66591/32 )
**u= 13/132 , ht= 83023 ; ( -83023/46051 , 30267693/46051 ), ( 3754609/192853 , 1198586257/192853 )
**u= 13/137 , ht= 459343 ; ( -1076759/660279 , -136746490/220093 ), ( 219867/459343 , 165401040/459343 )
**u= 13/145 , ht= 23299 ; ( 27698923/2165003 , -9283564126/2165003 ), ( 23299/4739 , -7944554/4739 )
**u= 13/154 , ht= 3089 ; ( -5483/5 , -1888096/5 ), ( 3089/2616 , 2787815/5232 )
**u= 13/175 , ht= 5517 ; ( -5517/517 , -2034070/517 ), ( -18349/13207 , 41494628/66035 )
**u= 13/184 , ht= 11281 ; ( 42071/42370 , -89899103/169480 ), ( 11074/11281 , -23800855/45124 )
**u= 13/187 , ht= 8069 ; ( -24203/104409 , -13556536/34803 ), ( 589/8069 , -3070010/8069 )
**u= 13/189 , ht= 19337 ; ( 17755/114229 , -132299362/342687 ), ( -19337/17497 , 29845070/52491 )
**u= 13/193 , ht= 492061 ; ( 1564063/192991 , -607518386/192991 ), ( -451709/492061 , -257496770/492061 )
**u= 14/87 , ht= 27955 ; ( -32255/94 , -4022363/47 ), ( 4262/27955 , -7052798/27955 )
**u= 14/187 , ht= 3371 ; ( 3371/600 , 208667/100 ), ( 181320/19807 , -66695334/19807 )
**u= 14/197 , ht= 4846 ; ( 33923/14342 , -6911305/7171 ), ( 4846/315 , -1822574/315 )
**u= 16 , ht= 3 ; ( -19/33 , 637/22 ), ( -3 , -159/2 )
**u= 16/13 , ht= 2411 ; ( -891/2411 , 463625/4822 ), ( -3195299/121365 , 576765997/242730 )
**u= 16/17 , ht= 355 ; ( 355/87 , 25129/58 ), ( -87/355 , -75387/710 )
**u= 16/21 , ht= 28979 ; ( -28979/1387 , -6650751/2774 ), ( 314291/16637 , -72151027/33274 )
**u= 16/33 , ht= 51275 ; ( -80327/23755 , 24071833/47510 ), ( 51275/169 , -14735151/338 )
**u= 16/37 , ht= 13975 ; ( 13975/751 , 4258571/1502 ), ( 48565/3309 , 14812183/6618 )
**u= 16/49 , ht= 4207 ; ( 124539/10897 , -43776947/21794 ), ( 2533/4207 , -12037205/58898 )
**u= 16/57 , ht= 12163 ; ( -51317/40225 , 24626041/80450 ), ( -12163/953 , 4607815/1906 )
**u= 16/73 , ht= 114923 ; ( -114923/51225 , -17926071/34150 ), ( -459375/357029 , -248670801/714058 )
**u= 16/81 , ht= 19639 ; ( -21271/21699 , -123124355/390582 ), ( -19639/6373 , 27887629/38238 )
**u= 16/85 , ht= 699 ; ( 699/461 , 386183/922 ), ( 131657/127407 , -84498115/254814 )
**u= 16/129 , ht= 101861 ; ( 656827/991 , 373192771/1982 ), ( -48209/101861 , -64029445/203722 )
**u= 16/141 , ht= 25433 ; ( -25433/4177 , 15309945/8354 ), ( 957697/24841 , -569076841/49682 )
**u= 16/145 , ht= 7281 ; ( 781/7281 , -1470365/4854 ), ( -2943/195533 , 117798609/391066 )
**u= 16/157 , ht= 19165 ; ( -251613/999677 , 646152145/1999354 ), ( -11293/19165 , -13943263/38330 )
**u= 18/11 , ht= 2845 ; ( 3239/5770 , -776321/8655 ), ( 1346/2845 , -738454/8535 )
**u= 18/31 , ht= 21691 ; ( 21691/6780 , -4475809/10170 ), ( -24876/10681 , 10663690/32043 )
**u= 18/43 , ht= 106329 ; ( -106329/99922 , -33845167/149883 ), ( -177754/29877 , 3635626/3897 )
**u= 18/59 , ht= 4078 ; ( 240743/29890 , -65913221/44835 ), ( -4078/1895 , -2443606/5685 )
**u= 18/79 , ht= 36880 ; ( 22107/36880 , 13518769/55320 ), ( 289032/57325 , -185284946/171975 )
**u= 18/143 , ht= 164396 ; ( -281093/124508 , 130044355/186762 ), ( -164396/160513 , 194378318/481539 )
**u= 18/175 , ht= 2829 ; ( -2829/1028 , -7042481/7710 ), ( 3904/747 , 18599834/11205 )
**u= 18/191 , ht= 27743 ; ( -27743/3772 , 13687355/5658 ), ( 225700/23813 , 221898446/71439 )
**u= 20 , ht= 33 ; ( -23/33 , 301/11 ), ( -231/71 , -5451/71 )
**u= 20/21 , ht= 1987 ; ( -4457/653 , -461803/653 ), ( 1679/1987 , 266695/1987 )
**u= 20/41 , ht= 34647 ; ( 34647/11113 , 5212207/11113 ), ( 137491/147741 , 28910611/147741 )
**u= 20/69 , ht= 7259 ; ( 7259/2153 , 1407055/2153 ), ( 2153/7259 , 1407055/7259 )
**u= 20/101 , ht= 19869 ; ( 19869/15223 , 5627675/15223 ), ( 4163/24161 , 5512265/24161 )
**u= 20/109 , ht= 12937 ; ( -12937/579 , 1008235/193 ), ( 96879/39763 , 24459765/39763 )
**u= 20/129 , ht= 113521 ; ( 1624961/261689 , 418214897/261689 ), ( -113521/1031 , 28846377/1031 )
**u= 20/161 , ht= 22849 ; ( 38907/4453 , 152281/61 ), ( 22849/9647 , -7040485/9647 )
**u= 20/189 , ht= 6899 ; ( 2671/6899 , -6826039/20697 ), ( 6119/45221 , -42105049/135663 )
**u= 22/15 , ht= 811 ; ( -2383/4048 , 194037/2024 ), ( -484/811 , 78022/811 )
**u= 22/29 , ht= 1080 ; ( 413/1080 , 7379/60 ), ( 540/2273 , -268362/2273 )
**u= 22/47 , ht= 732 ; ( 121/732 , -18083/122 ), ( -312/3589 , 526818/3589 )
**u= 22/91 , ht= 269 ; ( -269/74 , 28385/37 ), ( 25630/969 , -5218982/969 )
**u= 22/129 , ht= 17411 ; ( -17411/7994 , 2320765/3997 ), ( 780682/4283 , 189139210/4283 )
**u= 22/155 , ht= 8239 ; ( 5719/68154 , 3027161/11359 ), ( 6114/8239 , 2724630/8239 )
**u= 22/159 , ht= 218401 ; ( 218401/35840 , -29764527/17920 ), ( 13193488/1483403 , 3571017290/1483403 )
**u= 22/173 , ht= 3768 ; ( -211/3768 , -176469/628 ), ( -45168/1369 , -12678246/1369 )
**u= 22/189 , ht= 7265 ; ( 7265/5564 , 1341741/2782 ), ( 32048/163 , 9398170/163 )
**u= 22/193 , ht= 62498 ; ( 334789/23866 , 49730875/11933 ), ( 62498/24931 , 19939594/24931 )
**u= 25 , ht= 69 ; ( -43/69 , 546/23 ), ( -179/157 , -4774/157 )
**u= 25/4 , ht= 267 ; ( -17/851 , -34097/851 ), ( -11/267 , -10684/267 )
**u= 25/9 , ht= 1477 ; ( -1477/981 , -319294/2943 ), ( -1527/1031 , -331834/3093 )
**u= 25/16 , ht= 3307 ; ( -249/3307 , 530915/6614 ), ( 3959/1373 , -670819/2746 )
**u= 25/19 , ht= 19793 ; ( 19793/4869 , 592592/1623 ), ( -48069/13907 , 4364754/13907 )
**u= 25/24 , ht= 8987 ; ( 209893/49474 , -84555415/197896 ), ( 5486/8987 , 217293/1892 )
**u= 25/34 , ht= 55668 ; ( -55668/6569 , 13080347/13138 ), ( 220759/49263 , -26391430/49263 )
**u= 25/36 , ht= 3 ; ( -1/3 , 1139/9 ), ( -2243/6829 , 862974/6829 )
**u= 25/49 , ht= 8423 ; ( 225897/75559 , -233550194/528913 ), ( 5069/8423 , -9638824/58961 )
**u= 25/61 , ht= 6529 ; ( -3597/6529 , 1164980/6529 ), ( -172661/213 , -26984126/213 )
**u= 25/66 , ht= 1201 ; ( -2252/641 , -761259/1282 ), ( 97/1201 , -195872/1201 )
**u= 25/69 , ht= 2758571 ; ( -2758571/76363 , 458691466/76363 ), ( -11942833/276239 , 1985621674/276239 )
**u= 25/76 , ht= 2029 ; ( -66401/56453 , 15203623/56453 ), ( -2029/403 , -360860/403 )
**u= 25/84 , ht= 30511 ; ( 7873/30511 , -5778850/30511 ), ( -367469/182017 , 75206145/182017 )
**u= 25/94 , ht= 1279 ; ( -3026587/189811 , 588322898/189811 ), ( 1279/57 , 248378/57 )
**u= 25/106 , ht= 384317 ; ( -1097071/592993 , -256917404/592993 ), ( -384317/217286 , 181907419/434572 )
**u= 25/109 , ht= 4767 ; ( -31669/43977 , 3773844/14659 ), ( 1061/4767 , 1020244/4767 )
**u= 25/121 , ht= 8051 ; ( -5833/23549 , -58740184/259039 ), ( -547/8051 , 19538078/88561 )
**u= 25/126 , ht= 3488 ; ( -82591/2473 , -18559198/2473 ), ( -3488/1489 , -1703693/2978 )
**u= 25/144 , ht= 26581 ; ( -9671/27193 , 6930232/27193 ), ( 11173/26581 , 6923557/26581 )
**u= 25/151 , ht= 169 ; ( -133/169 , -52880/169 ), ( -1681679/1139907 , 499546124/1139907 )
**u= 25/154 , ht= 21401 ; ( 21401/5143 , 5465540/5143 ), ( 117189/20333 , -29534874/20333 )
**u= 25/159 , ht= 914467 ; ( 2426507/114329 , 612926512/114329 ), ( 914467/211369 , -236818560/211369 )
**u= 25/161 , ht= 174911 ; ( 174911/19983 , 14899494/6661 ), ( 347913/558041 , -166966530/558041 )
**u= 25/166 , ht= 21638 ; ( -32069/2957 , -8302802/2957 ), ( 21638/4789 , -11427017/9578 )
**u= 26/23 , ht= 18 ; ( 5/18 , -293/3 ), ( 557846/156151 , 54513130/156151 )
**u= 26/27 , ht= 445 ; ( 445/172 , -72961/258 ), ( 2900/721 , 914038/2163 )
**u= 26/41 , ht= 543 ; ( -543/236 , -37193/118 ), ( -7764/7723 , -1375866/7723 )
**u= 26/89 , ht= 21464 ; ( 6067/21464 , -2064419/10732 ), ( 21464/6067 , -4128838/6067 )
**u= 26/107 , ht= 5068 ; ( 1245/5068 , 529607/2534 ), ( -11900/14789 , -3852734/14789 )
**u= 26/139 , ht= 11543 ; ( 11543/5844 , -498833/974 ), ( 44988/13991 , 10898886/13991 )
**u= 26/155 , ht= 3631 ; ( -460067/46132 , 56475413/23066 ), ( 3476/3631 , -1227922/3631 )
**u= 28/23 , ht= 1113 ; ( -6811/15177 , 502829/5059 ), ( 1113/101 , -101343/101 )
**u= 28/39 , ht= 5425 ; ( 2003/8113 , -986745/8113 ), ( 43/5425 , 640587/5425 )
**u= 28/79 , ht= 2093 ; ( 1935/2093 , -479027/2093 ), ( 50459/18385 , -9025249/18385 )
**u= 28/99 , ht= 621 ; ( -1179/955 , 856319/2865 ), ( 259/621 , 379745/1863 )
**u= 28/123 , ht= 2779 ; ( -1403/2779 , 652801/2779 ), ( 68539/22619 , 15134815/22619 )
**u= 28/127 , ht= 10699 ; ( 10699/31 , -2279735/31 ), ( -79301/11377 , 17070377/11377 )
**u= 28/163 , ht= 2513 ; ( -1073/2513 , 659615/2513 ), ( 23207/40159 , -11196523/40159 )
**u= 34 , ht= 31 ; ( -31/22 , 323/11 ), ( -1638/3271 , -61674/3271 )
**u= 34/13 , ht= 52744 ; ( -34011/52744 , -1941445/26372 ), ( -56216/59471 , 5062750/59471 )
**u= 34/33 , ht= 165146 ; ( -7559429/2846534 , -398087535/1423267 ), ( -165146/7835 , -16296798/7835 )
**u= 34/45 , ht= 40827 ; ( -40827/36692 , -9477299/55038 ), ( -79756/5799 , 27613378/17397 )
**u= 34/61 , ht= 60944 ; ( -44901/60944 , 5072255/30472 ), ( 153172/70151 , 22577326/70151 )
**u= 34/93 , ht= 183728 ; ( 20808265/12645376 , -2014536979/6322688 ), ( -183728/123575 , -36638374/123575 )
**u= 34/97 , ht= 361982 ; ( 30383/361982 , -30693485/180991 ), ( -4019114/193305 , -679981094/193305 )
**u= 34/109 , ht= 568751 ; ( 568751/351972 , -19969567/58662 ), ( -2142864/231919 , 386113710/231919 )
**u= 34/141 , ht= 20216 ; ( 106703/95564 , 14592331/47782 ), ( -20216/4177 , 4205918/4177 )
**u= 34/145 , ht= 2745969 ; ( -2745969/1053326 , 303833191/526663 ), ( -2930874/4039921 , -1031233086/4039921 )
**u= 34/189 , ht= 23221 ; ( 137621/361124 , 136742255/541686 ), ( 18968/23221 , -21218246/69663 )
**u= 35/3 , ht= 59 ; ( -7/83 , -2448/83 ), ( -59/31 , 1956/31 )
**u= 35/4 , ht= 53 ; ( 53/9 , -605/3 ), ( 375/281 , 15858/281 )
**u= 35/11 , ht= 941 ; ( -797/941 , -69170/941 ), ( 2105/2743 , 193922/2743 )
**u= 35/13 , ht= 6399 ; ( -28703/12663 , 212522/1407 ), ( 6399/1849 , 406206/1849 )
**u= 35/29 , ht= 21445 ; ( 64527/11225 , -5964614/11225 ), ( 21445/5553 , 2017504/5553 )
**u= 35/33 , ht= 97 ; ( -13/97 , -9508/97 ), ( 3977701/527089 , -389819656/527089 )
**u= 35/36 , ht= 2935 ; ( -3447/1609 , 1157960/4827 ), ( 2935/1639 , -341106/1639 )
**u= 35/39 , ht= 9437 ; ( 8579/9437 , 1346950/9437 ), ( 26921/1493 , -2847620/1493 )
**u= 35/62 , ht= 31934 ; ( 31934/23719 , 10594051/47438 ), ( 75199/20081 , -10364572/20081 )
**u= 35/114 , ht= 5575 ; ( -5575/866 , -2037449/1732 ), ( -2785/18001 , -3289028/18001 )
**u= 35/116 , ht= 64819 ; ( -19753/71075 , -13436483/71075 ), ( -41843/64819 , 14052560/64819 )
**u= 35/122 , ht= 4103 ; ( -4103/777 , 260012/259 ), ( 10943/2233 , 2086214/2233 )
**u= 35/132 , ht= 1871 ; ( -637/1871 , 384025/1871 ), ( 7/53797 , -10452671/53797 )
**u= 35/138 , ht= 20572 ; ( -146681/81844 , 1803769/4424 ), ( -20572/16409 , -10455645/32818 )
**u= 35/143 , ht= 1 ; ( 7961883/7797433 , 2253704812/7797433 ), ( 1 , 286 )
**u= 35/149 , ht= 14787 ; ( 12629/14787 , 446030/1643 ), ( 14787/12629 , 54990/173 )
**u= 35/153 , ht= 7703 ; ( 7703/899 , -1622280/899 ), ( -71913/66127 , 61308566/198381 )
**u= 35/156 , ht= 2201 ; ( -295/2201 , 469064/2201 ), ( -2201/295 , -469064/295 )
**u= 35/157 , ht= 88779 ; ( 6991/88779 , -6290204/29593 ), ( 88779/6991 , -18870612/6991 )
**u= 35/167 , ht= 102019 ; ( 102019/20189 , -22728122/20189 ), ( 95103/118817 , -33260574/118817 )
**u= 35/176 , ht= 1329 ; ( -1157/1329 , 263555/886 ), ( 16175/10587 , -8674409/21174 )
**u= 35/184 , ht= 26625 ; ( 4706/26625 , 8269909/35500 ), ( 58251/61195 , 19381188/61195 )
**u= 36 , ht= 109 ; ( 73/331 , 17447/993 ), ( -109/73 , 91/3 )
**u= 36/17 , ht= 8961 ; ( 16815/9947 , -4029413/29841 ), ( 8961/3725 , 2001769/11175 )
**u= 36/49 , ht= 133 ; ( -133/121 , -440743/2541 ), ( -473/4883 , 90415/771 )
**u= 36/53 , ht= 103245 ; ( -65083/103245 , -44447993/309735 ), ( -1408695/238439 , 520331881/715317 )
**u= 36/65 , ht= 16329 ; ( 42527/8493 , -17490319/25479 ), ( 16329/469 , -6588487/1407 )
**u= 36/73 , ht= 684241 ; ( -2945525/1219417 , 1362572461/3658251 ), ( -684241/81821 , 294539245/245463 )
**u= 36/77 , ht= 64815 ; ( -64815/25583 , 30587677/76749 ), ( -184685/237891 , -132201713/713673 )
**u= 36/85 , ht= 30533 ; ( -133337/22417 , -62358827/67251 ), ( 15403/30533 , -15772427/91599 )
**u= 36/109 , ht= 6329 ; ( 37813/105829 , 58694311/317487 ), ( -6329/2609 , -3575335/7827 )
**u= 36/149 , ht= 137677 ; ( -110259/137677 , 107707093/413031 ), ( 1962509/200733 , -1204626589/602199 )
**u= 36/161 , ht= 323861 ; ( -2892723/63881 , 1836589763/191643 ), ( -197457/323861 , 240764651/971583 )
**u= 37 , ht= 199 ; ( -199/121 , -3770/121 ), ( 587/1547 , 26510/1547 )
**u= 37/3 , ht= 17767 ; ( -17767/671 , 504602/671 ), ( -20729/8527 , -640282/8527 )
**u= 37/4 , ht= 13591 ; ( 13591/5511 , -160570/1837 ), ( -18915/3023 , 631407/3023 )
**u= 37/6 , ht= 1711 ; ( 5489/4769 , -292920/4769 ), ( -1711/905 , -78026/905 )
**u= 37/13 , ht= 391 ; ( -311/391 , -29630/391 ), ( -5859/33037 , -1989438/33037 )
**u= 37/24 , ht= 129677 ; ( -129677/33733 , 10796435/33733 ), ( 132992/22523 , 43478255/90092 )
**u= 37/25 , ht= 27169 ; ( -11219/27169 , -2417492/27169 ), ( 80557/35657 , -7245308/35657 )
**u= 37/27 , ht= 50707 ; ( 1661059/141121 , 142470440/141121 ), ( -50707/731 , -13003274/2193 )
**u= 37/28 , ht= 77751 ; ( 77751/397 , 6766871/397 ), ( -198137/112677 , 19838825/112677 )
**u= 37/39 , ht= 520385 ; ( -28796075/950707 , -2959433574/950707 ), ( 520385/20951 , 53497646/20951 )
**u= 37/40 , ht= 4067 ; ( -21184/18121 , 11599847/72484 ), ( 4067/1868 , -1862309/7472 )
**u= 37/41 , ht= 114591 ; ( -7745/114591 , 4032142/38197 ), ( -388137/354455 , 55359282/354455 )
**u= 37/48 , ht= 46859 ; ( -46859/6133 , 5385324/6133 ), ( -68729/5707 , 15718289/11414 )
**u= 37/52 , ht= 541 ; ( 541/343 , 75977/343 ), ( 30274319/48131301 , 6744175075/48131301 )
**u= 37/54 , ht= 82349 ; ( 289645/52708 , -213500969/316248 ), ( -44885/82349 , 34007498/247047 )
**u= 37/57 , ht= 172567 ; ( 114731/172567 , 25733532/172567 ), ( 416497/161137 , -55457150/161137 )
**u= 37/64 , ht= 42157 ; ( 499841/77615 , 133118447/155230 ), ( -42157/7965 , 11290823/15930 )
**u= 37/66 , ht= 4735 ; ( 4582/4735 , -1760913/9470 ), ( -4735/4582 , 1760913/9164 )
**u= 37/68 , ht= 2327 ; ( 2327/87 , -105280/29 ), ( 85863/3209 , -11654214/3209 )
**u= 37/70 , ht= 181544 ; ( 4748239/3962489 , -851067230/3962489 ), ( -181544/4831 , 49984325/9662 )
**u= 37/73 , ht= 139107 ; ( 607247/3829 , -85339252/3829 ), ( 108739/139107 , -278798/1563 )
**u= 37/76 , ht= 478651 ; ( 3918311/280119 , 187760850/93373 ), ( 478651/147855 , 71834681/147855 )
**u= 37/78 , ht= 245537 ; ( -245537/11278 , -71411085/22556 ), ( 3925102/78883 , -1140603095/157766 )
**u= 37/81 , ht= 111515 ; ( -6863/111515 , 16539224/111515 ), ( -21841175/3053801 , 9794047694/9161403 )
**u= 37/82 , ht= 10929 ; ( 10929/7649 , 1986880/7649 ), ( 6732349/272717 , 1003570664/272717 )
**u= 37/85 , ht= 406407 ; ( -281083/406407 , -24977852/135469 ), ( 41291/1191579 , -180803578/1191579 )
**u= 37/86 , ht= 74599 ; ( -74599/37920 , 8509677/25280 ), ( -517773/244637 , 87349680/244637 )
**u= 37/90 , ht= 244483 ; ( 244483/122733 , 128059240/368199 ), ( -55329/327016 , -310516583/1962096 )
**u= 37/94 , ht= 13852855 ; ( 13852855/10257026 , 5497521151/20514052 ), ( 237697370/300709377 , -122252933431/601418754
)
**u= 37/95 , ht= 1404273 ; ( 6783251/772251 , -364829030/257417 ), ( -1404273/982093 , -274721568/982093 )
**u= 37/96 , ht= 6329 ; ( -594343/462905 , -121407009/462905 ), ( 3416/6329 , -9272405/50632 )
**u= 37/109 , ht= 90625 ; ( -90097/90625 , -21944582/90625 ), ( 162093875/2741543 , -27839369008/2741543 )
**u= 37/115 , ht= 57487 ; ( -57487/473 , 10140242/473 ), ( 375391/34439 , -66492098/34439 )
**u= 37/117 , ht= 178973 ; ( -178973/76429 , 34623554/76429 ), ( 631517/394007 , -132429920/394007 )
**u= 37/120 , ht= 379267 ; ( 379267/299413 , -87064717/299413 ), ( -4542539/1313461 , 852004760/1313461 )
**u= 37/123 , ht= 538361 ; ( -1083787/757769 , -241234532/757769 ), ( 538361/76783 , 99200998/76783 )
**u= 37/130 , ht= 38977 ; ( 85517/444837 , 28317102/148279 ), ( -38977/28727 , 9080470/28727 )
**u= 37/133 , ht= 51917 ; ( -51917/6659 , -9928738/6659 ), ( 6659/51917 , 9928738/51917 )
**u= 37/135 , ht= 147857 ; ( -638381/4953199 , -2863309024/14859597 ), ( -79483/147857 , 32080952/147857 )
**u= 37/144 , ht= 172495 ; ( -14239/172495 , 34162471/172495 ), ( -177689/74941 , -76126925/149882 )
**u= 37/149 , ht= 4490853 ; ( -2892613/5582805 , 420803054/1860935 ), ( 4490853/1318955 , 939734826/1318955 )
**u= 37/159 , ht= 5311 ; ( -5311/731 , 1111900/731 ), ( 150378845/1121271323 , 234636701262/1121271323 )
**u= 37/163 , ht= 930203 ; ( 389559/963971 , -218334560/963971 ), ( 740471/930203 , -249671672/930203 )
**u= 37/172 , ht= 357137 ; ( -16829267/703123 , -3633488680/703123 ), ( -86021/357137 , -79242959/357137 )
**u= 37/174 , ht= 9073099 ; ( -4260646843/344840750 , 1854870834761/689681500 ), ( 9073099/2040019 , 2017697810/2040019
)
**u= 37/175 , ht= 22571 ; ( -3086467/17569 , 3357943576/87845 ), ( -3447/22571 , 24840588/112855 )
**u= 37/176 , ht= 817901 ; ( -786167/912585 , 87612398/304195 ), ( -533229/817901 , 213052200/817901 )
**u= 37/178 , ht= 3228763 ; ( 5317867/1992827 , 1246229080/1992827 ), ( 3228763/1005098 , -1484147825/2010196 )
**u= 37/181 , ht= 3838015 ; ( -3838015/1355599 , 29055514/43729 ), ( -13789327/4230355 , 3191763968/4230355 )
**u= 37/184 , ht= 1545855 ; ( 2728577/796830 , 845611791/1062440 ), ( 1545855/1126657 , -426783708/1126657 )
**u= 37/187 , ht= 235561 ; ( -4542521/3472673 , 1286087738/3472673 ), ( -84209/235561 , 56267150/235561 )
**u= 37/189 , ht= 104833 ; ( 192487/91127 , 144471590/273381 ), ( -67675/104833 , 84646804/314499 )
**u= 37/190 , ht= 210357 ; ( -210357/108482 , 107321845/216964 ), ( -948578/535037 , -493829917/1070074 )
**u= 37/192 , ht= 547019 ; ( -386251/547019 , 152619220/547019 ), ( -3030289/29423 , -690671784/29423 )
**u= 37/196 , ht= 126833 ; ( -126833/54557 , -222555575/381899 ), ( -46547/182675 , 43409312/182675 )
**u= 37/198 , ht= 157591 ; ( 157591/55896 , 232200295/335376 ), ( -2469811/3975683 , 1083254148/3975683 )
**u= 40 , ht= 8 ; ( 8 , -245/2 ), ( 1/8 , -245/16 )
**u= 40/9 , ht= 283 ; ( -3487/6736 , 720145/13472 ), ( -283/40 , 27141/80 )
**u= 40/21 , ht= 530 ; ( 19/530 , 76899/1060 ), ( 81029/7970 , -11805829/15940 )
**u= 40/29 , ht= 510 ; ( -1699/6078 , -358435/4052 ), ( -510/157 , 90921/314 )
**u= 40/49 , ht= 5400 ; ( 5400/1021 , 8519761/14294 ), ( -18467/11264 , 4790695/22528 )
**u= 40/69 , ht= 7351 ; ( 12001/478 , 3156455/956 ), ( 7351/3050 , 2091617/6100 )
**u= 40/81 , ht= 8715 ; ( -3316/9077 , -2751735/18154 ), ( -8715/1852 , 22833007/33336 )
**u= 40/109 , ht= 107857 ; ( 107857/44746 , 38571115/89492 ), ( -132758/8615 , -43944541/17230 )
**u= 40/189 , ht= 13346 ; ( 284926/44035 , 376206661/264210 ), ( 13325/13346 , -24608981/80076 )
**u= 44/3 , ht= 97 ; ( 97/85 , -3367/85 ), ( -139/95 , -4407/95 )
**u= 44/23 , ht= 2251 ; ( -2251/555 , 55897/185 ), ( 3159/721 , 234405/721 )
**u= 44/27 , ht= 1307 ; ( 1307/247 , -312725/741 ), ( 197629/28015 , 15644841/28015 )
**u= 44/59 , ht= 22299 ; ( 233/22299 , 861213/7433 ), ( 22299/233 , 2583639/233 )
**u= 44/103 , ht= 17719 ; ( -1729001/44745 , -88252437/14915 ), ( -13599/17719 , -3419115/17719 )
**u= 44/111 , ht= 185659 ; ( 185659/30037 , 29886649/30037 ), ( -562501/3821 , -89389645/3821 )
**u= 44/135 , ht= 1051 ; ( -491/1051 , -609889/3153 ), ( -34591/26159 , -7600335/26159 )
**u= 44/147 , ht= 8945 ; ( 8945/5461 , 1916551/5461 ), ( 159575/10397 , 204707183/72779 )
**u= 44/159 , ht= 19807 ; ( 19807/6769 , -3981011/6769 ), ( 147563/23861 , 28429703/23861 )
**u= 44/179 , ht= 10159 ; ( 44083/82031 , 18792611/82031 ), ( 10159/3357 , -2159099/3357 )
**u= 44/191 , ht= 37423 ; ( -37423/2687 , -7820995/2687 ), ( 323167/148593 , 74144995/148593 )
**u= 45 , ht= 207 ; ( -309/149 , -14858/447 ), ( -181/207 , -12220/621 )
**u= 45/4 , ht= 7 ; ( 3/7 , -683/21 ), ( 7/3 , -683/9 )
**u= 45/14 , ht= 2243 ; ( -2243/718 , -788401/4308 ), ( 3167/3601 , 802820/10803 )
**u= 45/26 , ht= 401 ; ( -401/41 , -91958/123 ), ( 10693/3452 , -5127457/20712 )
**u= 45/31 , ht= 2339 ; ( 1161/2339 , 650552/7017 ), ( 52443/19087 , -13903696/57261 )
**u= 45/56 , ht= 2243 ; ( 2243/94 , 3006695/1128 ), ( -59789/7411 , -20172748/22233 )
**u= 45/59 , ht= 8371 ; ( -5671/8371 , -3475024/25113 ), ( -80183/22949 , -28664360/68847 )
**u= 45/64 , ht= 2967 ; ( -467/4407 , 6345343/52884 ), ( -2933/2967 , 5973463/35604 )
**u= 45/76 , ht= 2721 ; ( -2721/289 , -1067332/867 ), ( 289/2721 , -1067332/8163 )
**u= 45/79 , ht= 181669 ; ( -141237/593779 , -242730490/1781337 ), ( -181669/3981 , 72266026/11943 )
**u= 45/86 , ht= 12541 ; ( -86323/89117 , 51481364/267351 ), ( 12541/1619 , -5246932/4857 )
**u= 45/94 , ht= 26 ; ( 21/26 , 28997/156 ), ( 399823/52023 , -174908798/156069 )
**u= 45/109 , ht= 294187 ; ( 294187/100167 , 145173088/300501 ), ( 596743/18171 , 278891780/54513 )
**u= 45/119 , ht= 7817 ; ( -751/7817 , 3833030/23451 ), ( 83821/6709 , -41043706/20127 )
**u= 45/121 , ht= 21183 ; ( 3939/24899 , 136479802/821667 ), ( -21183/6913 , -120637466/228129 )
**u= 45/124 , ht= 492757 ; ( -244113/492757 , 273990233/1478271 ), ( -752963/687111 , 507886205/2061333 )
**u= 45/131 , ht= 283661 ; ( 4311839/744971 , -2240867288/2234913 ), ( 198511/283661 , 177305752/850983 )
**u= 45/136 , ht= 1354 ; ( -1354/159 , -2845463/1908 ), ( 142523/929538 , 1962787789/11154456 )
**u= 45/139 , ht= 111463 ; ( 111463/86721 , -74499110/260163 ), ( -378797/7623 , 199864208/22869 )
**u= 45/164 , ht= 161437 ; ( 53197/161437 , 97396222/484311 ), ( 161437/53197 , 97396222/159591 )
**u= 45/166 , ht= 1452256 ; ( 1579903/194799 , -917681660/584397 ), ( -1452256/77019 , -1676756279/462114 )
**u= 45/196 , ht= 12259 ; ( 12259/3399 , 55782191/71379 ), ( -71261/49059 , -379360204/1030239 )
**u= 50/41 , ht= 182386 ; ( -26213381/1181138 , 1188615433/590569 ), ( 182386/55373 , -17269310/55373 )
**u= 50/47 , ht= 1392 ; ( 781/1392 , -25805/232 ), ( 57968/45231 , 7132262/45231 )
**u= 50/63 , ht= 8516 ; ( -7927/8516 , -653307/4258 ), ( -12424/2983 , -1434962/2983 )
**u= 50/69 , ht= 4496 ; ( 103/4496 , -264285/2248 ), ( 27452/7051 , 3331258/7051 )
**u= 50/89 , ht= 8714 ; ( -7573/8714 , -770525/4357 ), ( -32246/773 , 4305574/773 )
**u= 50/107 , ht= 9286 ; ( -17139/8258 , 1392229/4129 ), ( 9286/2163 , 1395494/2163 )
**u= 50/123 , ht= 19783 ; ( -23333/31894 , -3100615/15947 ), ( -14494/19783 , -3848410/19783 )
**u= 50/187 , ht= 27882 ; ( 2841343/1541574 , 104244385/256929 ), ( 27882/10079 , -5736486/10079 )
**u= 52/21 , ht= 121 ; ( -5/121 , -7701/121 ), ( -275/2623 , -167661/2623 )
**u= 52/57 , ht= 1073 ; ( 617/1073 , 129655/1073 ), ( 15077/29 , 1579347/29 )
**u= 52/85 , ht= 379 ; ( -2140097/27403 , -273772505/27403 ), ( -379/199 , -54757/199 )
**u= 52/109 , ht= 11717 ; ( -11717/3543 , 591045/1181 ), ( -12355/8791 , 2196469/8791 )
**u= 52/141 , ht= 57713 ; ( -57713/13445 , -9762781/13445 ), ( 764783/512675 , -151688943/512675 )
**u= 52/161 , ht= 86509 ; ( -86509/65061 , 6351995/21687 ), ( 205917/140275 , 43863237/140275 )
**u= 52/177 , ht= 11537 ; ( -455587/477203 , -121783235/477203 ), ( 11537/5401 , 2351397/5401 )
**u= 55 , ht= 3 ; ( 3 , -40 ), ( 49/9 , 718/9 )
**u= 55/4 , ht= 3 ; ( -10867/3843 , 103286/1281 ), ( -1/3 , -85/3 )
**u= 55/7 , ht= 143 ; ( 31/143 , -5230/143 ), ( 223/209 , 10910/209 )
**u= 55/14 , ht= 267 ; ( -76/267 , 105/2 ), ( -267/76 , -28035/152 )
**u= 55/18 , ht= 155 ; ( 11/155 , 8896/155 ), ( 587/795 , 169676/2385 )
**u= 55/32 , ht= 72 ; ( 1/72 , 4885/64 ), ( -5040/1753 , 3258027/14024 )
**u= 55/43 , ht= 395 ; ( -207/395 , 39452/395 ), ( 82331/46555 , 8367346/46555 )
**u= 55/52 , ht= 777 ; ( 777/55 , 75776/55 ), ( -9223/3959 , 26390/107 )
**u= 55/57 , ht= 11075 ; ( 11959/1585 , -1228682/1585 ), ( -4543/11075 , 1219216/11075 )
**u= 55/63 , ht= 30435 ; ( 442265/17001 , 142174658/51003 ), ( -30435/9577 , -10249664/28731 )
**u= 55/64 , ht= 191 ; ( -7663/7679 , 2341655/15358 ), ( 191/127 , -24755/127 )
**u= 55/69 , ht= 8117 ; ( 7151/8117 , 1212260/8117 ), ( 2124761/478559 , -244074146/478559 )
**u= 55/73 , ht= 67885 ; ( 174185/6577 , 20091442/6577 ), ( 67885/21019 , 8191346/21019 )
**u= 55/81 , ht= 1327 ; ( -1193/1327 , -649978/3981 ), ( -2751/701 , -3102248/6309 )
**u= 55/91 , ht= 20473 ; ( 20473/6823 , -2777186/6823 ), ( -53099/26799 , -7654532/26799 )
**u= 55/104 , ht= 8661 ; ( 4267/8661 , 442780/2887 ), ( -139119/8743 , 19177755/8743 )
**u= 55/111 , ht= 91433 ; ( 606901/103849 , -87514348/103849 ), ( -91433/17717 , -13237516/17717 )
**u= 55/112 , ht= 801 ; ( -2551/325 , -734309/650 ), ( -801/395 , -255021/790 )
**u= 55/124 , ht= 159 ; ( -159/97 , -27980/97 ), ( -75161/16909 , -11573431/16909 )
**u= 55/136 , ht= 1511 ; ( -1511/1396 , 1294597/5584 ), ( 52529/36889 , 10098557/36889 )
**u= 55/138 , ht= 11807 ; ( 11807/905 , 1876658/905 ), ( -13607/17719 , 3540580/17719 )
**u= 55/142 , ht= 40 ; ( 40/31 , -16271/62 ), ( -31/40 , -16271/80 )
**u= 55/153 , ht= 905 ; ( -71947/92035 , 19493838/92035 ), ( -905/319 , -160126/319 )
**u= 55/159 , ht= 4999 ; ( 1289/4999 , -878206/4999 ), ( 51301/6251 , 8791474/6251 )
**u= 55/162 , ht= 115687 ; ( 890325/272899 , 1439071618/2456091 ), ( 115687/7671 , -179173660/69039 )
**u= 55/166 , ht= 9901 ; ( -9901/59 , -1720978/59 ), ( 84047/466 , 29217955/932 )
**u= 55/172 , ht= 1205 ; ( 5917/17699 , 3301840/17699 ), ( 517/1205 , 231994/1205 )
**u= 55/178 , ht= 18953 ; ( -26523/16820 , 11305709/33640 ), ( 5959/18953 , 3575960/18953 )
**u= 55/181 , ht= 32289 ; ( -63933/48287 , -14541544/48287 ), ( 15637/32289 , 6511480/32289 )
**u= 55/193 , ht= 277 ; ( 109/277 , 55790/277 ), ( 277/109 , 55790/109 )
**u= 55/196 , ht= 2127 ; ( -7299/5117 , -11785100/35819 ), ( 677/2127 , -2951093/14889 )
**u= 56/3 , ht= 109 ; ( 40/109 , -5413/218 ), ( -992/235 , 47581/470 )
**u= 56/19 , ht= 4433 ; ( 4433/3984 , 231557/2656 ), ( 31011/1612 , -3620139/3224 )
**u= 56/47 , ht= 1438 ; ( -9349/2354 , -1767265/4708 ), ( 1438/1297 , 354995/2594 )
**u= 56/59 , ht= 247 ; ( 1489/1784 , 477275/3568 ), ( 247/188 , -63755/376 )
**u= 56/83 , ht= 10972 ; ( -6707/10972 , 3132715/21944 ), ( 34324/14155 , 9044803/28310 )
**u= 56/111 , ht= 6758 ; ( -1049/6758 , 1926661/13516 ), ( -19583/16714 , 7253091/33428 )
**u= 56/131 , ht= 184489 ; ( -1807908/23 , -553302985/46 ), ( 184489/17988 , -56730377/35976 )
**u= 58/9 , ht= 7973 ; ( -7973/208 , -157005/104 ), ( 9132/3067 , 1139930/9201 )
**u= 58/13 , ht= 4839 ; ( -14543/13334 , -467267/6667 ), ( -4534/4839 , -314090/4839 )
**u= 58/73 , ht= 15788 ; ( -13631/15788 , 1170611/7894 ), ( 398912/661201 , 86676242/661201 )
**u= 58/93 , ht= 182734 ; ( -941983/386398 , -64494775/193199 ), ( -182734/50603 , -24022154/50603 )
**u= 58/153 , ht= 28647 ; ( 28647/8876 , 7310101/13314 ), ( 2156852/2033291 , 481672042/2033291 )
**u= 58/169 , ht= 125419 ; ( 159097/12912 , -4543405/2152 ), ( 25476/125419 , -284139510/1630447 )
**u= 61 , ht= 1903 ; ( -95883/36821 , 1221506/36821 ), ( 1393/1903 , 29350/1903 )
**u= 61/3 , ht= 5431 ; ( -5431/815 , -120642/815 ), ( 1115/12989 , -286298/12989 )
**u= 61/4 , ht= 409 ; ( 7961/15641 , 451180/15641 ), ( 409/137 , 11102/137 )
**u= 61/7 , ht= 11323 ; ( -175859/60895 , -6298076/60895 ), ( -2083/11323 , 389510/11323 )
**u= 61/13 , ht= 3635 ; ( 158473/245885 , -13514224/245885 ), ( -3635/3203 , 223786/3203 )
**u= 61/24 , ht= 8779 ; ( 4093/8779 , -607937/8779 ), ( 213631/54313 , -13835163/54313 )
**u= 61/26 , ht= 46749 ; ( 2440792/860577 , -112687435/573718 ), ( -46749/33968 , 7549437/67936 )
**u= 61/27 , ht= 12185 ; ( -91577/44767 , -20353450/134301 ), ( -12185/79 , -2433578/237 )
**u= 61/30 , ht= 55291 ; ( -38677/70427 , 5637860/70427 ), ( 23821/55291 , 4223846/55291 )
**u= 61/31 , ht= 13229 ; ( 102736157/35093041 , 7742609836/35093041 ), ( -3077/13229 , -968642/13229 )
**u= 61/39 , ht= 565523 ; ( 2024261/820409 , 174725620/820409 ), ( 565523/438617 , 57254720/438617 )
**u= 61/40 , ht= 60644 ; ( 60644/51679 , -25820861/206716 ), ( 132539/3204 , -42967279/12816 )
**u= 61/42 , ht= 14947 ; ( 14947/8213 , -1415830/8213 ), ( 42635/29629 , 4310366/29629 )
**u= 61/43 , ht= 312955 ; ( 312955/75853 , 27048602/75853 ), ( -121975261/1336441 , -10247218420/1336441 )
**u= 61/48 , ht= 26807 ; ( 648107/122747 , -58540405/122747 ), ( 1955/26807 , 4770737/53614 )
**u= 61/51 , ht= 152377 ; ( -491593/125167 , -46405470/125167 ), ( 152377/87119 , -16057582/87119 )
**u= 61/55 , ht= 1320057 ; ( -1257397/1320057 , -57732064/440019 ), ( -1345943/436453 , -134425648/436453 )
**u= 61/57 , ht= 4343 ; ( 5029309/731965 , -491515826/731965 ), ( -2003/4343 , -462540/4343 )
**u= 61/60 , ht= 57107 ; ( -445027/34723 , -44291560/34723 ), ( 57107/4393 , 247105/191 )
**u= 61/62 , ht= 76727 ; ( -76727/26658 , 1820635/5924 ), ( 315342/776777 , 169119405/1553554 )
**u= 61/63 , ht= 59837 ; ( -522469/238249 , 58384720/238249 ), ( 46255/59837 , 7689844/59837 )
**u= 61/64 , ht= 359 ; ( -167/359 , -40577/359 ), ( -19263/10879 , -2267181/10879 )
**u= 61/69 , ht= 1085341 ; ( 21851963/1190603 , -2328640070/1190603 ), ( -1085341/906413 , -150468042/906413 )
**u= 61/70 , ht= 2604459 ; ( -2604459/310096 , 562208419/620192 ), ( 3326944/2890319 , -944680295/5780638 )
**u= 61/72 , ht= 27507 ; ( 27507/715 , -8972671/2145 ), ( -715/27507 , 8972671/82521 )
**u= 61/73 , ht= 62833 ; ( 328909/48589 , -36388990/48589 ), ( -19365/62833 , -378744/3307 )
**u= 61/75 , ht= 262975 ; ( -262975/56713 , -149221758/283565 ), ( 300473/54677 , -33881984/54677 )
**u= 61/79 , ht= 94547 ; ( 94547/25343 , -11144860/25343 ), ( 25343/94547 , -11144860/94547 )
**u= 61/80 , ht= 178257 ; ( 138853/1427343 , -109543273/951562 ), ( 178257/64703 , -21728217/64703 )
**u= 61/84 , ht= 486253 ; ( 449629/486253 , -77755406/486253 ), ( 3606733/1224241 , 447187271/1224241 )
**u= 61/85 , ht= 3067 ; ( 1163/3067 , 387394/3067 ), ( 644873/1718457 , -216772918/1718457 )
**u= 61/90 , ht= 3711 ; ( -476/3711 , -2728123/22266 ), ( -402726147/51953933 , 148044881504/155861799 )
**u= 61/91 , ht= 450631 ; ( -1301/450631 , -55068160/450631 ), ( 1766337/1734461 , -302512248/1734461 )
**u= 61/93 , ht= 1609829 ; ( -4322855/1904983 , -583578078/1904983 ), ( 907865/1609829 , -228315492/1609829 )
**u= 61/94 , ht= 266427 ; ( -266427/23437 , 33217250/23437 ), ( 4448653/213859 , 553159496/213859 )
**u= 61/98 , ht= 569771 ; ( 569771/11859 , -359550/59 ), ( -647019/110986 , -1165497495/1553804 )
**u= 61/99 , ht= 270649 ; ( 211887/270649 , 131432654/811947 ), ( 1086649/655317 , 485220416/1965951 )
**u= 61/105 , ht= 2787599 ; ( 3765829/1464859 , 530396918/1464859 ), ( 2787599/1127171 , -394696236/1127171 )
**u= 61/108 , ht= 11497283 ; ( -11497283/801085 , 4602869828/2403255 ), ( -11621975/9832711 , -2026640858/9832711 )
**u= 61/121 , ht= 48553 ; ( 48553/29801 , -88303234/327811 ), ( -655907/246947 , -1086343910/2716417 )
**u= 61/136 , ht= 78381 ; ( -4958/78381 , 15643733/104508 ), ( 7278543/326359 , 1088439603/326359 )
**u= 61/141 , ht= 1507133 ; ( 2573029/6841099 , -1111782090/6841099 ), ( -778477/1507133 , -258027730/1507133 )
**u= 61/145 , ht= 1604219 ; ( -6544603/8208507 , 539794662/2736169 ), ( -1604219/1231749 , 311987158/1231749 )
**u= 61/147 , ht= 967541 ; ( -1101235/1050869 , -1654915786/7356083 ), ( -967541/4429 , -1051924630/31003 )
**u= 61/148 , ht= 6965 ; ( 5686335/1997953 , -939272608/1997953 ), ( -6965/731 , 1091402/731 )
**u= 61/151 , ht= 441809 ; ( -441809/183029 , -75277900/183029 ), ( 4753259/149873 , 748599644/149873 )
**u= 61/159 , ht= 1565303 ; ( 950609/1565303 , -295816234/1565303 ), ( -106805093/10154353 , 17329985160/10154353 )
**u= 61/160 , ht= 163889 ; ( -255710196/48155089 , -337299881069/385240712 ), ( 163889/134764 , -275048755/1078112 )
**u= 61/163 , ht= 2212511 ; ( -8838985/3348819 , 515290292/1116273 ), ( 2212511/13091 , -361859920/13091 )
**u= 61/165 , ht= 2702719 ; ( -1441091/2702719 , 503998816/2702719 ), ( 17475631/296381 , -2876013300/296381 )
**u= 61/171 , ht= 821501 ; ( 821501/91407 , 415384316/274221 ), ( 1174721/3201223 , 571212714/3201223 )
**u= 61/172 , ht= 1206597 ; ( 86851595/6311001 , 4876576911/2103667 ), ( -1206597/998993 , -263173275/998993 )
**u= 61/179 , ht= 16149 ; ( -1450016249/49019967 , -82885206838/16339989 ), ( 16149/1471 , 2779200/1471 )
**u= 61/188 , ht= 41587 ; ( -41587/38595 , -3321802/12865 ), ( 38734383/5268127 , 6866079510/5268127 )
**u= 61/189 , ht= 2293981 ; ( 14601539/3476243 , -2643335006/3476243 ), ( -2293981/176333 , -1215554626/528999 )
**u= 61/192 , ht= 1043519 ; ( -902461/1043519 , -979544655/4174076 ), ( -8863139/1595209 , 6394019825/6380836 )
**u= 61/193 , ht= 1680269 ; ( 21463273/8598665 , 4114794746/8598665 ), ( -1680269/858839 , -335824060/858839 )
**u= 61/195 , ht= 1886413 ; ( -1826777/1886413 , -469740104/1886413 ), ( -4442911/21459719 , 3920181798/21459719 )
**u= 63 , ht= 49 ; ( -49/5 , -1672/15 ), ( 5/49 , 1672/147 )
**u= 63/11 , ht= 207 ; ( 3349/885 , 434138/2655 ), ( -53/207 , -26780/621 )
**u= 63/25 , ht= 161 ; ( -161/139 , -40216/417 ), ( 1621/1025 , 1813256/15375 )
**u= 63/46 , ht= 100 ; ( 100/77 , 64739/462 ), ( -44527/60512 , -38537015/363072 )
**u= 63/50 , ht= 397184 ; ( -304791/397184 , 267746407/2383104 ), ( 662292/510749 , 2236401511/15322470 )
**u= 63/53 , ht= 140127 ; ( -140127/9863 , -38671030/29589 ), ( -341763/27223 , -94388600/81669 )
**u= 63/67 , ht= 112693 ; ( 947153/121579 , -295573196/364737 ), ( 112693/41003 , -37119890/123009 )
**u= 63/71 , ht= 19501 ; ( 19501/3171 , -6295250/9513 ), ( -50085/37813 , -19996574/113439 )
**u= 63/74 , ht= 51821 ; ( -95737/3423 , 31162570/10269 ), ( 51821/5349 , -16947230/16047 )
**u= 63/86 , ht= 7530 ; ( -205722/11815 , -144523097/70890 ), ( 5509/7530 , 6543797/45180 )
**u= 63/95 , ht= 56139 ; ( -80339/21501 , 30653038/64503 ), ( 53479/56139 , 28577504/168417 )
**u= 63/106 , ht= 21215 ; ( 80845/29594 , -67035907/177564 ), ( -21215/13447 , -9779174/40341 )
**u= 63/109 , ht= 1393 ; ( -7122515/6302143 , -3754727756/18906429 ), ( 1175/1393 , 719482/4179 )
**u= 63/116 , ht= 4757 ; ( 4757/3945 , 2516999/11835 ), ( -534917/91077 , -220999840/273231 )
**u= 63/121 , ht= 21695 ; ( 12331/25351 , 128992400/836583 ), ( 21695/16007 , -123364646/528231 )
**u= 63/127 , ht= 195767 ; ( 289019/21557 , -123508918/64671 ), ( -195767/74489 , -89263142/223467 )
**u= 63/128 , ht= 1753 ; ( 1753/1176 , 14449867/56448 ), ( 17077/6909 , 31525651/82908 )
**u= 63/151 , ht= 278621 ; ( 278621/10445 , 129560738/31335 ), ( -1434755/344327 , -685639244/1032981 )
**u= 63/155 , ht= 1033611 ; ( -9729291/1539209 , 4637472020/4617627 ), ( -1033611/74639 , 487890260/223917 )
**u= 63/169 , ht= 29155 ; ( 22937/51905 , 362659886/2024295 ), ( 29155/3817 , -187914224/148863 )
**u= 63/179 , ht= 1094055 ; ( 1094055/814457 , 690057434/2443371 ), ( 11694609/467729 , 5921458030/1403187 )
**u= 63/184 , ht= 971 ; ( -800/971 , 2581403/11652 ), ( -20515/110332 , -230259653/1323984 )
**u= 63/190 , ht= 21077 ; ( -1411679/1115321 , -937780150/3345963 ), ( -13883/21077 , -13155472/63231 )
**u= 64 , ht= 29 ; ( -29 , -1295/4 ), ( -1/29 , 1295/116 )
**u= 64/5 , ht= 2593 ; ( -2593/1767 , -116823/2356 ), ( -5733/733 , 649065/2932 )
**u= 64/21 , ht= 1811 ; ( -1363/1811 , 519637/7244 ), ( 6991/1489 , 1638935/5956 )
**u= 64/25 , ht= 1267 ; ( 1267/17 , 316885/68 ), ( -15139/2503 , 19193213/50060 )
**u= 64/69 , ht= 38521 ; ( 72823/2719 , 30281219/10876 ), ( 38521/10553 , 16597081/42212 )
**u= 64/81 , ht= 223 ; ( -17753/13189 , 9957143/52756 ), ( -223/133 , -350705/1596 )
**u= 64/109 , ht= 388833 ; ( 388833/50279 , -204767281/201116 ), ( -429809/264303 , -263526461/1057212 )
**u= 64/117 , ht= 28945 ; ( 8615/29103 , -49269889/349236 ), ( 28945/5311 , 15923807/21244 )
**u= 64/121 , ht= 977 ; ( -18619/711 , -3417655/948 ), ( -977/917 , 8110645/40348 )
**u= 64/133 , ht= 15677 ; ( 15677/12485 , -11561993/49940 ), ( 37547/1496557 , -863654935/5986228 )
**u= 64/141 , ht= 102713 ; ( 85859/151867 , 103630341/607468 ), ( 102713/66769 , -3163967/11612 )
**u= 64/145 , ht= 100087 ; ( 78627/100087 , 76669717/400348 ), ( -7030541/25241529 , 15783725723/100966116 )
**u= 64/169 , ht= 16387 ; ( -16387/4231 , 11006321/16924 ), ( 53969/49253 , -617709043/2561156 )
**u= 64/189 , ht= 904021 ; ( -504491/904021 , 2135943035/10848252 ), ( -1700497/196769 , 3531867991/2361228 )
**u= 64/193 , ht= 126509 ; ( -126509/113385 , 39354793/151180 ), ( -339627/345137 , 336515955/1380548 )
**u= 65/3 , ht= 53 ; ( -53/7 , -1136/7 ), ( -19/107 , 2310/107 )
**u= 65/6 , ht= 11 ; ( 1663/361 , 51590/361 ), ( 11/5 , -368/5 )
**u= 65/11 , ht= 39 ; ( -39/17 , -1750/17 ), ( 919/523 , 43540/523 )
**u= 65/19 , ht= 1655 ; ( 1655/1119 , -36018/373 ), ( -5205/12577 , -736128/12577 )
**u= 65/23 , ht= 417 ; ( 417/233 , 122 ), ( 233/417 , -28426/417 )
**u= 65/24 , ht= 191 ; ( 191/65 , -12264/65 ), ( 458/425 , -151943/1700 )
**u= 65/27 , ht= 203 ; ( -191/203 , 53920/609 ), ( 7847/1409 , 1542470/4227 )
**u= 65/38 , ht= 179 ; ( 48779/47107 , -5187490/47107 ), ( -179/163 , -18520/163 )
**u= 65/44 , ht= 197 ; ( -1440075/242903 , 120210173/242903 ), ( 197/65 , 17077/65 )
**u= 65/46 , ht= 205 ; ( 2971/3960 , -277787/2640 ), ( -117/205 , 19866/205 )
**u= 65/48 , ht= 451 ; ( -397/4897 , -10179/118 ), ( 83/451 , 39425/451 )
**u= 65/54 , ht= 845 ; ( -2731/1118 , -1614595/6708 ), ( -346/845 , -499589/5070 )
**u= 65/59 , ht= 7765 ; ( 4579/7765 , -859286/7765 ), ( -71947/20801 , -7139080/20801 )
**u= 65/62 , ht= 2003 ; ( 5767/1239 , -192120/413 ), ( -1507/2003 , 244928/2003 )
**u= 65/68 , ht= 3989 ; ( -2811/3989 , 499382/3989 ), ( 14813/6143 , 1641061/6143 )
**u= 65/71 , ht= 1043 ; ( -1043/235 , -111794/235 ), ( -1807/1175 , 225386/1175 )
**u= 65/77 , ht= 1 ; ( 1 , -154 ), ( 1 , -154 )
**u= 65/86 , ht= 1705 ; ( -1705/58 , -392653/116 ), ( -8801/7367 , -1320850/7367 )
**u= 65/87 , ht= 54277 ; ( 54277/9907 , -6386262/9907 ), ( 127631/40631 , 15503966/40631 )
**u= 65/96 , ht= 17782 ; ( 21041/2498 , -20610415/19984 ), ( -17782/2795 , 17509387/22360 )
**u= 65/107 , ht= 19361 ; ( 158723/103083 , 8098166/34361 ), ( -19361/2039 , -2499074/2039 )
**u= 65/113 , ht= 38671 ; ( -2687/38671 , -5113690/38671 ), ( 153617/43103 , -21047386/43103 )
**u= 65/141 , ht= 96605 ; ( -530701/114797 , 80010630/114797 ), ( -96605/84157 , -18879466/84157 )
**u= 65/149 , ht= 16589 ; ( 16589/2285 , -2536606/2285 ), ( -475669/82485 , 73129694/82485 )
**u= 65/152 , ht= 3427 ; ( -957/3427 , -544382/3427 ), ( -3906/10081 , 6616329/40324 )
**u= 65/153 , ht= 45191 ; ( -28181/45191 , -8175048/45191 ), ( 48157/1577 , 7396056/1577 )
**u= 65/154 , ht= 5114 ; ( -54133/8325 , -2811484/2775 ), ( 2355/5114 , 1734093/10228 )
**u= 65/161 , ht= 7305 ; ( -101/7305 , 383456/2435 ), ( 19011/6775 , -3177912/6775 )
**u= 65/164 , ht= 23023 ; ( 16955/23023 , 4543963/23023 ), ( -240181/1227 , 38170540/1227 )
**u= 65/168 , ht= 4271 ; ( -4094/4271 , 3806477/17084 ), ( 36137/36823 , 360808/1601 )
**u= 65/171 , ht= 57325 ; ( 38439/57325 , -33601064/171975 ), ( 145753/31525 , 24199444/31525 )
**u= 65/172 , ht= 2049 ; ( 703/2049 , 117520/683 ), ( 176781/40541 , -29518314/40541 )
**u= 65/174 , ht= 6695 ; ( 13081/2380 , -4352877/4760 ), ( -1744/6695 , 2265013/13390 )
**u= 65/176 , ht= 1201 ; ( -2337/325 , 776897/650 ), ( 1003/1201 , -515215/2402 )
**u= 70/3 , ht= 62 ; ( 65/82 , -1087/41 ), ( -62/29 , -1430/29 )
**u= 70/37 , ht= 1373 ; ( -65029/8712 , -795335/1452 ), ( 144/1373 , -100410/1373 )
**u= 70/39 , ht= 1433 ; ( -1433/692 , 59417/346 ), ( -1648/1927 , -189354/1927 )
**u= 70/69 , ht= 763 ; ( 2677/32 , 132963/16 ), ( 4/763 , -75790/763 )
**u= 70/87 , ht= 1808 ; ( 17047/1484 , 954285/742 ), ( 1808/1489 , 261250/1489 )
**u= 70/89 , ht= 14706 ; ( 7811/14706 , 313093/2451 ), ( -28566/12641 , 3524118/12641 )
**u= 70/99 , ht= 3867 ; ( -3867/314 , -692425/471 ), ( -33742/91899 , 34944190/275697 )
**u= 70/103 , ht= 484 ; ( 175/484 , 31231/242 ), ( 484/175 , -62462/175 )
**u= 70/197 , ht= 9449 ; ( 17478781/5694132 , 514236315/949022 ), ( -2160/9449 , -1626846/9449 )
**u= 73/3 , ht= 1583 ; ( 15473/1963 , 311780/1963 ), ( 1583/839 , -36638/839 )
**u= 73/9 , ht= 25193 ; ( -93671/18291 , 10043080/54873 ), ( -25193/13435 , 1003928/13435 )
**u= 73/10 , ht= 281 ; ( 1912623/964513 , -79257964/964513 ), ( 151/281 , 11804/281 )
**u= 73/13 , ht= 10007 ; ( -10007/6659 , 507344/6659 ), ( 428073/37111 , 18155478/37111 )
**u= 73/18 , ht= 1673 ; ( -276/1673 , 505637/10038 ), ( 2281/4428 , 1484411/26568 )
**u= 73/19 , ht= 3025 ; ( -275105/401561 , 24848714/401561 ), ( 3025/61 , -154492/61 )
**u= 73/23 , ht= 187503 ; ( -77641/187503 , -3799686/62501 ), ( 757233/97271 , -42885318/97271 )
**u= 73/24 , ht= 69677 ; ( -21685/162098 , 37535953/648392 ), ( 69677/1237 , -3998705/1237 )
**u= 73/25 , ht= 24807 ; ( -233475/41773 , 69421114/208865 ), ( -6365/24807 , 7496068/124035 )
**u= 73/27 , ht= 49993 ; ( 49993/39169 , 11592614/117507 ), ( -1110289/135719 , -204217210/407157 )
**u= 73/28 , ht= 10453 ; ( 103123/757987 , -47407810/757987 ), ( -10453/863 , -650015/863 )
**u= 73/30 , ht= 32617 ; ( -12253/43148 , -5754433/86296 ), ( -18383/32617 , 2401190/32617 )
**u= 73/34 , ht= 67176 ; ( 67631/44545 , -5529272/44545 ), ( -3425/67176 , -9184451/134352 )
**u= 73/36 , ht= 49911 ; ( 48455/49911 , -14662466/149733 ), ( -1141731/30655 , -240764761/91965 )
**u= 73/37 , ht= 121247 ; ( -4155239/478937 , 297904586/478937 ), ( -121247/68563 , 9921980/68563 )
**u= 73/40 , ht= 420698 ; ( 420698/46017 , 13929031/20452 ), ( 528561/373894 , 191802609/1495576 )
**u= 73/48 , ht= 21019 ; ( 349201/11281 , 28343480/11281 ), ( -8917/21019 , 1852283/21019 )
**u= 73/50 , ht= 8547 ; ( -1081588/773829 , 367055803/2579430 ), ( 8547/1549 , -3596364/7745 )
**u= 73/59 , ht= 1474329 ; ( 1730129/1699095 , -72704066/566365 ), ( -1474329/513499 , -140427300/513499 )
**u= 73/61 , ht= 251561 ; ( 251561/66365 , -23793616/66365 ), ( -996515/558009 , -104456804/558009 )
**u= 73/63 , ht= 1441907 ; ( 1513181/623397 , -456320206/1870191 ), ( 1441907/341353 , 137726420/341353 )
**u= 73/70 , ht= 62233 ; ( -5233/62233 , -6118810/62233 ), ( 3070114/774429 , -620432543/1548858 )
**u= 73/75 , ht= 127597 ; ( -91061/127597 , -79485802/637985 ), ( 583661/52313 , -297142304/261565 )
**u= 73/78 , ht= 1103449 ; ( -1103449/569183 , 128404098/569183 ), ( -848990341/76484573 , -88159731954/76484573 )
**u= 73/81 , ht= 1861 ; ( 33745/55263 , -61417594/497367 ), ( -169/1861 , 590800/5583 )
**u= 73/88 , ht= 1309478 ; ( -10551143/643601 , -1161169189/643601 ), ( 1309478/361531 , -596915683/1446124 )
**u= 73/93 , ht= 2838943 ; ( -4104221/656449 , 469360720/656449 ), ( 2838943/735841 , 331191282/735841 )
**u= 73/94 , ht= 10207 ; ( 347167/346368 , 37117775/230912 ), ( -4175/10207 , 1252004/10207 )
**u= 73/96 , ht= 2929 ; ( -2929/1265 , -366054/1265 ), ( -25075658/5462485 , -23556285087/43699880 )
**u= 73/100 , ht= 1086805 ; ( 1086805/257761 , -653966749/1288805 ), ( 1294063/632913 , 168689024/632913 )
**u= 73/104 , ht= 874935 ; ( 17163113/7773135 , 749994453/2591045 ), ( 874935/157322 , -424641741/629288 )
**u= 73/111 , ht= 531731 ; ( -531731/302101 , -75448770/302101 ), ( 2433797/2654243 , 444282750/2654243 )
**u= 73/112 , ht= 106987 ; ( -106987/23253 , 4522650/7751 ), ( -461723/738741 , -107959889/738741 )
**u= 73/118 , ht= 571107 ; ( -9783879/578527 , -1246698622/578527 ), ( -162086/571107 , -151029797/1142214 )
**u= 73/120 , ht= 599921 ; ( 45334607/332177 , -5815455426/332177 ), ( 599921/294671 , -85738180/294671 )
**u= 73/122 , ht= 893957 ; ( -893957/734499 , -16627442/81611 ), ( 4585941/13343162 , -3649776471/26686324 )
**u= 73/123 , ht= 1332889 ; ( 34441367/1799873 , 4478957770/1799873 ), ( 876559/1332889 , -207179210/1332889 )
**u= 73/124 , ht= 993775 ; ( -674273/993775 , -156597754/993775 ), ( -6053863/828695 , 796771742/828695 )
**u= 73/126 , ht= 473824 ; ( 532463/111425 , 71504568/111425 ), ( -473824/89865 , 380352503/539190 )
**u= 73/130 , ht= 160036 ; ( -803389/569099 , 131448898/569099 ), ( 93411/160036 , -49480905/320072 )
**u= 73/136 , ht= 8123 ; ( 8123/3533 , 1209655/3533 ), ( 65207/41220 , 42138869/164880 )
**u= 73/142 , ht= 1241707 ; ( 1500699/911044 , 489949955/1822088 ), ( -1241707/908741 , 214713364/908741 )
**u= 73/145 , ht= 833827 ; ( 833827/30643 , -117653782/30643 ), ( -17617843/12096137 , 131017892/525919 )
**u= 73/148 , ht= 58299 ; ( -19079/58299 , 2912875/19433 ), ( -58299/19079 , 8738625/19079 )
**u= 73/157 , ht= 5233163 ; ( 7159897/2948391 , -378706666/982797 ), ( -230201/5233163 , -768576568/5233163 )
**u= 73/162 , ht= 53451 ; ( 1780613/1648259 , -361636718/1648259 ), ( 35803/53451 , -86296936/481059 )
**u= 73/163 , ht= 2307359 ; ( -2715131/744707 , -420909718/744707 ), ( 2307359/2058947 , -462328384/2058947 )
**u= 73/168 , ht= 20822719 ; ( -82504742/182389951 , 121534116359/729559804 ), ( -20822719/1243073 , 3166082476/1243073
)
**u= 73/172 , ht= 2079791 ; ( 1668797/2079791 , -409513007/2079791 ), ( -2091887/808721 , -344434124/808721 )
**u= 73/175 , ht= 6271 ; ( -1357/6271 , 4969588/31355 ), ( -174989/15333 , 136056118/76665 )
**u= 73/183 , ht= 68752237 ; ( 68752237/10162591 , -11009300756/10162591 ), ( 107066647/42978949 , -18275904632/42978949
)
**u= 73/185 , ht= 177707 ; ( 177707/36153 , 9627856/12051 ), ( 9913203/682487 , -33673332/14521 )
**u= 73/187 , ht= 45475297 ; ( -215047021/29397883 , 34755926314/29397883 ), ( 33363307/45475297 , 9031615840/45475297 )
**u= 73/192 , ht= 633529 ; ( 1106177/652763 , 833626495/2611052 ), ( -633529/233093 , 438129803/932372 )
**u= 73/194 , ht= 2006205 ; ( -1552051/2006205 , -137900776/668735 ), ( -2022537/1163428 , 761123445/2326856 )
**u= 73/195 , ht= 12007459 ; ( 152022973/1521973 , 24860071850/1521973 ), ( -12007459/5505881 , -2160050492/5505881 )
**u= 73/199 , ht= 2334677 ; ( 7789055/18310981 , -3287074796/18310981 ), ( -2334677/261875 , 388083682/261875 )
**u= 74/3 , ht= 1172 ; ( -4045/1552 , 43143/776 ), ( 1172/557 , -26390/557 )
**u= 74/15 , ht= 12451 ; ( -12451/7366 , -325731/3683 ), ( -78194/223069 , 10642550/223069 )
**u= 74/35 , ht= 6247 ; ( -6247/2628 , 25905/146 ), ( 14124/24841 , -1966098/24841 )
**u= 74/47 , ht= 73369 ; ( -73369/1690 , -2925641/845 ), ( -96674/59131 , -9036170/59131 )
**u= 74/51 , ht= 12137 ; ( 31013/28004 , -1735321/14002 ), ( -8516/12137 , -1231462/12137 )
**u= 74/83 , ht= 939620 ; ( 4865145/156272 , -257882183/78136 ), ( 939620/329367 , 105502922/329367 )
**u= 74/99 , ht= 39211 ; ( 39211/10784 , -2353015/5392 ), ( 4992/249251 , 86548186/747753 )
**u= 74/179 , ht= 1132871 ; ( -1132871/545572 , 97829251/272786 ), ( 9344616/1433153 , 1471090446/1433153 )
**u= 74/191 , ht= 878666 ; ( 1899267/59746 , 152716879/29873 ), ( -878666/696511 , 180225910/696511 )
**u= 74/195 , ht= 1332733 ; ( 1332733/294932 , -110844053/147466 ), ( 2350888/362603 , -386329086/362603 )
**u= 77/2 , ht= 39 ; ( 31/39 , -270/13 ), ( 3/46 , 1431/92 )
**u= 77/3 , ht= 37 ; ( -89/253 , 5364/253 ), ( -37/31 , -956/31 )
**u= 77/5 , ht= 163 ; ( -471/29 , 11960/29 ), ( 143/163 , -5524/163 )
**u= 77/8 , ht= 27 ; ( -141/13 , -4556/13 ), ( -13/27 , 965/27 )
**u= 77/12 , ht= 167 ; ( 11/167 , -6617/167 ), ( -167/11 , 6617/11 )
**u= 77/18 , ht= 9 ; ( -2/9 , -2677/54 ), ( -9/2 , 2677/12 )
**u= 77/20 , ht= 471 ; ( -221/471 , -8845/157 ), ( 1083/197 , 56148/197 )
**u= 77/26 , ht= 11201 ; ( 12164/1595 , 1426181/3190 ), ( -11201/6505 , 753134/6505 )
**u= 77/27 , ht= 173 ; ( 173/139 , 39442/417 ), ( -139/173 , -39442/519 )
**u= 77/39 , ht= 8131 ; ( -5285/8131 , 690538/8131 ), ( -7255/23503 , -1751282/23503 )
**u= 77/43 , ht= 1743 ; ( 46261/19959 , 1255580/6653 ), ( -1743/1399 , 167106/1399 )
**u= 77/45 , ht= 143 ; ( -31567/3263 , -2427102/3263 ), ( 107/143 , 13660/143 )
**u= 77/47 , ht= 233 ; ( 6197/1779 , -167978/593 ), ( -233/143 , 21370/143 )
**u= 77/48 , ht= 2909 ; ( 2909/1121 , -492505/2242 ), ( -817/5489 , 438346/5489 )
**u= 77/65 , ht= 2609 ; ( -2609/1829 , -9448/59 ), ( -8091/5221 , -885174/5221 )
**u= 77/69 , ht= 41 ; ( 5/41 , 3912/41 ), ( -6264611/742615 , -597494048/742615 )
**u= 77/75 , ht= 6163 ; ( 6163/3019 , -3388142/15095 ), ( 55957/10321 , -28093244/51605 )
**u= 77/95 , ht= 12341 ; ( -13557/9623 , -1847548/9623 ), ( -12341/6659 , 1558390/6659 )
**u= 77/97 , ht= 66401 ; ( 66401/26331 , 2673740/8777 ), ( 78567/133081 , -17354082/133081 )
**u= 77/104 , ht= 660 ; ( 660/179 , -318053/716 ), ( -179/660 , -318053/2640 )
**u= 77/106 , ht= 106197 ; ( -169351/89745 , -7499526/29915 ), ( -106197/10085 , 12522528/10085 )
**u= 77/116 , ht= 1655 ; ( 3095/14057 , 1767572/14057 ), ( 1655/1481 , -272728/1481 )
**u= 77/122 , ht= 329753 ; ( -910528/160693 , -232879355/321386 ), ( 329753/19812 , -83206465/39624 )
**u= 77/125 , ht= 8921 ; ( 699709/114431 , -451899304/572155 ), ( -8921/6389 , 6993872/31945 )
**u= 77/128 , ht= 2386 ; ( 2386/741 , 1718845/3952 ), ( -3687/1934 , 8593149/30944 )
**u= 77/134 , ht= 4655 ; ( -4655/3184 , -1488721/6368 ), ( 13891/10675 , -2312248/10675 )
**u= 77/149 , ht= 28951 ; ( 71053/2513 , -9895000/2513 ), ( 18521/28951 , 4783250/28951 )
**u= 77/151 , ht= 31153 ; ( -64813/36123 , -3465290/12041 ), ( -13335/31153 , 4747794/31153 )
**u= 77/180 , ht= 5447 ; ( -5447/1803 , -2633065/5409 ), ( 38439/54029 , -30429263/162087 )
**u= 77/186 , ht= 21803 ; ( 118484/5675 , -36890419/11350 ), ( 21803/8132 , -380895/856 )
**u= 77/197 , ht= 71581 ; ( 13307/73589 , -11967574/73589 ), ( 71581/17997 , -11811746/17997 )
**u= 80/9 , ht= 439 ; ( 439/137 , -30815/274 ), ( 1313/873 , 317713/5238 )
**u= 80/29 , ht= 1461 ; ( -20033/28861 , 4232885/57722 ), ( -569/1461 , -188867/2922 )
**u= 80/69 , ht= 2239 ; ( -2239/1763 , 529585/3526 ), ( -49687/29939 , 10780405/59878 )
**u= 80/121 , ht= 3687 ; ( -239/3687 , 3333915/27038 ), ( -1743057/122447 , 4730125317/2693834 )
**u= 80/161 , ht= 19651 ; ( -17747/19651 , -7516415/39302 ), ( -154963/130973 , -57596017/261946 )
**u= 81/4 , ht= 461 ; ( -623/31 , -123538/279 ), ( -461/433 , 126637/3897 )
**u= 81/7 , ht= 4889 ; ( 2159/4889 , 1417910/44001 ), ( 4979/2501 , -1477850/22509 )
**u= 81/8 , ht= 345 ; ( -79/345 , -100387/3105 ), ( 345/79 , -100387/711 )
**u= 81/11 , ht= 729 ; ( 91/729 , 244100/6561 ), ( -36433/6291 , 12284048/56619 )
**u= 81/13 , ht= 104711 ; ( 82741/104711 , 48153040/942399 ), ( 75833/107995 , -47587132/971955 )
**u= 81/16 , ht= 2999 ; ( -521/2999 , -1218910/26991 ), ( -359/3161 , 1272370/28449 )
**u= 81/22 , ht= 3319 ; ( -3319/25 , 1557044/225 ), ( -13873/13385 , 9046534/120465 )
**u= 81/26 , ht= 59171 ; ( 1069914/46307 , -1092405971/833526 ), ( -59171/9066 , 61091635/163188 )
**u= 81/34 , ht= 8548 ; ( -8548/751 , -10010599/13518 ), ( 7457/42596 , 50448983/766728 )
**u= 81/37 , ht= 37409 ; ( 14765/37409 , -24477652/336681 ), ( -216775/79669 , -140565296/717021 )
**u= 81/44 , ht= 85289 ; ( -85289/25833 , -59137864/232497 ), ( -91857/45181 , -67940131/406629 )
**u= 81/47 , ht= 2592237 ; ( -3169555/124299 , 2175533842/1118691 ), ( -2592237/155195 , -1781351354/1396755 )
**u= 81/55 , ht= 301153 ; ( 301153/55963 , 227266636/503667 ), ( 1470169/497461 , 1151657248/4477149 )
**u= 81/59 , ht= 332293 ; ( -1238337/273479 , 974549462/2461311 ), ( -332293/23949 , -256040986/215541 )
**u= 81/61 , ht= 373073 ; ( -2011609/1392557 , 1911770728/12533013 ), ( 125291/373073 , -307514924/3357657 )
**u= 81/64 , ht= 9929 ; ( -9929/7927 , -10169159/71343 ), ( -10091/8089 , -41406365/291204 )
**u= 81/65 , ht= 60117 ; ( 1253/60117 , 48504514/541053 ), ( -105939/201251 , 183448678/1811259 )
**u= 81/67 , ht= 86671 ; ( -86671/33259 , 76023260/299331 ), ( -268435/62411 , 225704206/561699 )
**u= 81/74 , ht= 35203 ; ( 1655709/2771 , -1424966060/24939 ), ( -25107/35203 , 37213840/316827 )
**u= 81/79 , ht= 17687 ; ( 43663/3847 , 38977330/34623 ), ( -17687/9173 , 17718140/82557 )
**u= 81/82 , ht= 19699 ; ( -2843/24053 , -21944020/216477 ), ( 5021/19699 , -18417340/177291 )
**u= 81/86 , ht= 13603 ; ( 5273/96906 , -180093683/1744308 ), ( 2466/13603 , 25653313/244854 )
**u= 81/88 , ht= 37421 ; ( -392291/35114 , 1478599415/1264104 ), ( -12134/37421 , 147684665/1347156 )
**u= 81/89 , ht= 867261 ; ( 1068691/120129 , 1015037300/1081161 ), ( -867261/3337 , -818604368/30033 )
**u= 81/97 , ht= 1348255 ; ( 1348255/27697 , 1328798126/249273 ), ( -13725433/2238827 , 13703709760/20149443 )
**u= 81/103 , ht= 282359 ; ( 143515/282359 , 321617896/2541231 ), ( -417829/118801 , -441083960/1069209 )
**u= 81/116 , ht= 289831 ; ( -369591/971 , 398257195/8739 ), ( 289831/80451 , 324125615/724059 )
**u= 81/121 , ht= 13001 ; ( -12971/13001 , 222327460/1287099 ), ( -11471/21409 , -294035410/2119491 )
**u= 81/127 , ht= 226061 ; ( 357113/189473 , 455807990/1705257 ), ( -188975/226061 , -332212384/2034549 )
**u= 81/136 , ht= 53 ; ( -19/53 , -65693/477 ), ( -53/19 , 65693/171 )
**u= 81/137 , ht= 147873 ; ( 620561/1786431 , 2214650830/16077879 ), ( 147873/55535 , -184978106/499815 )
**u= 81/142 , ht= 71197 ; ( -71197/49787 , 103578350/448083 ), ( 946705/93569 , -1134201676/842121 )
**u= 81/148 , ht= 86015 ; ( -79301/86015 , 142398667/774135 ), ( -1605491/245471 , -1976863355/2209239 )
**u= 81/149 , ht= 172107 ; ( 545709/303137 , -762374404/2728233 ), ( -47221/172107 , -217954838/1548963 )
**u= 81/152 , ht= 292454 ; ( -1391063/51873 , -1717055395/466857 ), ( 292454/46575 , -1461160807/1676700 )
**u= 81/157 , ht= 1286555 ; ( -3450085/353083 , 4347667354/3177747 ), ( 1286555/405157 , 1690948798/3646413 )
**u= 81/160 , ht= 36767 ; ( 3734/54649 , 554578973/3934728 ), ( 36767/35662 , -518579243/2567664 )
**u= 81/161 , ht= 35659 ; ( -553171/47037 , -704775958/423333 ), ( -25383/35659 , -55566248/320931 )
**u= 81/167 , ht= 1159837 ; ( 11323715/2338113 , -14949537016/21043017 ), ( -1159837/418647 , -1594294760/3767823 )
**u= 81/169 , ht= 4327 ; ( -778669/23011 , 13171756510/2692287 ), ( -4327/1931 , 80117968/225927 )
**u= 81/170 , ht= 939 ; ( 259/939 , -1270666/8451 ), ( -27242921/5336049 , -36213659794/48024441 )
**u= 81/173 , ht= 866607 ; ( 11907955/205197 , -15672539342/1846773 ), ( -866607/316367 , -1214034770/2847303 )
**u= 81/175 , ht= 76775 ; ( -5713/76775 , 509480138/3454875 ), ( -111799/7499 , 148303388/67491 )
**u= 81/178 , ht= 1435 ; ( 11/1435 , -1915552/12915 ), ( 1844651/3354269 , -5109775550/30188421 )
**u= 81/179 , ht= 10501 ; ( -10501/477 , 14070826/4293 ), ( 409359/259357 , -648681212/2334213 )
**u= 81/181 , ht= 6419641 ; ( -6419641/1469063 , 8864388142/13221567 ), ( 8689699/853123 , 11752930354/7678107 )
**u= 81/193 , ht= 11081 ; ( 11081/6835 , 18096188/61515 ), ( 94529/48595 , -147734636/437355 )
**u= 81/196 , ht= 33037 ; ( 33199/20719 , -383701760/1305297 ), ( 33037/20881 , -383202881/1315503 )
**u= 81/200 , ht= 246399 ; ( 675267/34883 , 956719204/313947 ), ( 246399/48295 , 1776350161/2173275 )
**u= 82/21 , ht= 52600 ; ( -5521/52600 , -1339419/26300 ), ( -308548/14635 , 15645702/14635 )
**u= 82/37 , ht= 34163 ; ( -27373/42136 , -1688533/21068 ), ( 10816/34163 , 2408054/34163 )
**u= 82/57 , ht= 514318 ; ( -6970997/1006954 , -293748177/503477 ), ( -514318/195403 , 45895950/195403 )
**u= 82/85 , ht= 11847 ; ( 11847/1868 , 610831/934 ), ( 212328/705757 , -75072606/705757 )
**u= 82/105 , ht= 562 ; ( -83501/83414 , -6681211/41707 ), ( 562/313 , -72830/313 )
**u= 82/117 , ht= 15108 ; ( 52579/32688 , -11098507/49032 ), ( -15108/271 , 5417594/813 )
**u= 82/153 , ht= 38183 ; ( 38183/31298 , 3373635/15649 ), ( 5858/453907 , -62037710/453907 )
**u= 82/165 , ht= 152629 ; ( 152629/2996 , -10832785/1498 ), ( -1091776/9629 , 154954858/9629 )
**u= 82/185 , ht= 438198 ; ( 334117/438198 , 13801717/73033 ), ( -13876626/526619 , -2086865682/526619 )
**u= 85 , ht= 235 ; ( 209/235 , 3484/235 ), ( 241/753 , 7210/753 )
**u= 85/6 , ht= 125 ; ( 125/92 , -8239/184 ), ( 8344/3973 , -492865/7946 )
**u= 85/9 , ht= 4157 ; ( 689557/52875 , -67396138/158625 ), ( 4157/3619 , 179490/3619 )
**u= 85/16 , ht= 917 ; ( -8955/1429 , 393371/1429 ), ( 149/917 , 40300/917 )
**u= 85/29 , ht= 78975 ; ( 70607/78975 , -2063662/26325 ), ( -41441649/4198783 , -2434740030/4198783 )
**u= 85/31 , ht= 1857 ; ( -18429/25963 , -1923850/25963 ), ( 679/1857 , 119450/1857 )
**u= 85/46 , ht= 8545 ; ( -2863/8545 , 663332/8545 ), ( 19450/25407 , 4709971/50814 )
**u= 85/49 , ht= 1175 ; ( 5335/17879 , -1417418/17879 ), ( -1175/9 , -624866/63 )
**u= 85/61 , ht= 54251 ; ( -54251/30905 , -5291744/30905 ), ( -167481/217673 , -23277870/217673 )
**u= 85/66 , ht= 63187 ; ( -63187/22789 , 5921710/22789 ), ( -113219/11675 , 10034906/11675 )
**u= 85/69 , ht= 88037 ; ( 88037/48661 , -9067330/48661 ), ( 93685/96721 , -12138148/96721 )
**u= 85/81 , ht= 31361 ; ( -31361/15233 , 10215310/45699 ), ( -98215/29689 , 10021326/29689 )
**u= 85/96 , ht= 59701 ; ( -59701/31472 , 57406105/251776 ), ( 195380/37931 , 169299247/303448 )
**u= 85/106 , ht= 1517245 ; ( -1686472/20841 , -125624565/13894 ), ( 1517245/647091 , 184293656/647091 )
**u= 85/109 , ht= 69965 ; ( -69965/57347 , -10249354/57347 ), ( 94457/193865 , 24432626/193865 )
**u= 85/111 , ht= 366515 ; ( 73370435/10357067 , -8471659438/10357067 ), ( -200399/366515 , -47758936/366515 )
**u= 85/114 , ht= 27235 ; ( -2291/27235 , -3166828/27235 ), ( 213065/164102 , -62321693/328204 )
**u= 85/144 , ht= 47971 ; ( -47971/31965 , 22520206/95895 ), ( -45413/173305 , 46660297/346610 )
**u= 85/154 , ht= 58180 ; ( -58180/52469 , -21101231/104938 ), ( 1069357/314680 , 300232207/629360 )
**u= 85/181 , ht= 130759 ; ( -130759/15127 , 19217770/15127 ), ( -15392483/5852211 , -2404224410/5852211 )
**u= 85/186 , ht= 72871 ; ( -2145416/604873 , -659800555/1209746 ), ( -72871/9620 , -21757187/19240 )
**u= 85/196 , ht= 1253 ; ( 1253/309 , 457490/721 ), ( -309/1253 , 1372470/8771 )
**u= 88/3 , ht= 98 ; ( 11/98 , -3719/196 ), ( -539/106 , -20695/212 )
**u= 88/15 , ht= 409 ; ( 364/409 , 45237/818 ), ( -44/581 , -48095/1162 )
**u= 88/27 , ht= 22 ; ( 22/7 , 7675/42 ), ( -3947/15074 , -5180081/90444 )
**u= 88/71 , ht= 4849 ; ( 4849/660 , 293181/440 ), ( 47025/8188 , 8579559/16376 )
**u= 88/135 , ht= 7601 ; ( 8008/14323 , -12200999/85938 ), ( -1396/7601 , -5745979/45606 )
**u= 88/159 , ht= 11812 ; ( 34540/12121 , -9845613/24242 ), ( 11812/947 , 3187295/1894 )
**u= 88/163 , ht= 6886 ; ( 1753/6886 , 1935107/13772 ), ( 21978/11111 , 6706749/22222 )
**u= 88/179 , ht= 309195 ; ( -492190/208953 , 50865767/139302 ), ( 309195/103882 , -93087393/207764 )
**u= 88/199 , ht= 332 ; ( 22187/36120 , -4251831/24080 ), ( 265/332 , 127823/664 )
**u= 89/3 , ht= 227 ; ( -3269005/194053 , 58826074/194053 ), ( 227/25 , 4284/25 )
**u= 89/9 , ht= 218699 ; ( 283071/10993 , -26972866/32979 ), ( 218699/96927 , -22869952/290781 )
**u= 89/12 , ht= 116917 ; ( -34895/116917 , 4487643/116917 ), ( -443497/54185 , -16436112/54185 )
**u= 89/15 , ht= 3583 ; ( 3583/553 , -148786/553 ), ( -65459/67801 , -3870848/67801 )
**u= 89/17 , ht= 96311 ; ( 93625/96311 , -5873414/96311 ), ( -533243/107317 , -23799470/107317 )
**u= 89/18 , ht= 10280 ; ( 10280/5501 , -1048851/11002 ), ( -109333/30052 , 10208995/60104 )
**u= 89/20 , ht= 4023 ; ( -4023/167 , -190874/167 ), ( 247963/82553 , 12399989/82553 )
**u= 89/24 , ht= 68101 ; ( 312697/71086 , -66622141/284344 ), ( -21706/68101 , 14850105/272404 )
**u= 89/26 , ht= 207223 ; ( 2007074/184019 , 217918865/368038 ), ( 207223/61246 , 23375917/122492 )
**u= 89/27 , ht= 35039 ; ( 29609/35039 , -7584230/105117 ), ( 70225/34307 , 12923068/102921 )
**u= 89/29 , ht= 105353 ; ( 1195469/59539 , 68343250/59539 ), ( 105353/22587 , -6154880/22587 )
**u= 89/30 , ht= 14477 ; ( -2071927/7892 , -240654939/15784 ), ( -14477/5477 , 899250/5477 )
**u= 89/31 , ht= 2637 ; ( -1211/2637 , 57122/879 ), ( 2637/1211 , 171366/1211 )
**u= 89/39 , ht= 243479 ; ( 243479/51313 , -16477858/51313 ), ( -2264381/493543 , -153508884/493543 )
**u= 89/40 , ht= 13779 ; ( -678937/63207 , -5081128/7023 ), ( -13779/4994 , -3932523/19976 )
**u= 89/41 , ht= 626567 ; ( -626567/441411 , -17348164/147137 ), ( 2537751/570571 , -176651580/570571 )
**u= 89/42 , ht= 30815 ; ( 2689403/215435 , 185414384/215435 ), ( 30815/6406 , 4326839/12812 )
**u= 89/44 , ht= 244811 ; ( 1944627/783181 , 147466436/783181 ), ( 244811/93957 , -18448046/93957 )
**u= 89/50 , ht= 30952 ; ( 30952/30495 , 10861329/101650 ), ( -30495/30952 , -32583987/309520 )
**u= 89/58 , ht= 2248125 ; ( 25078390/12783111 , -1515597207/8522074 ), ( 2248125/427621 , -184840866/427621 )
**u= 89/59 , ht= 361271 ; ( 19126727/741501 , -519719428/247167 ), ( 244451/361271 , 35532640/361271 )
**u= 89/62 , ht= 674981 ; ( 260139/674981 , -60408500/674981 ), ( -1476472/320443 , -252341215/640886 )
**u= 89/66 , ht= 19513 ; ( -19513/18281 , -2303728/18281 ), ( 18281/19513 , -2303728/19513 )
**u= 89/68 , ht= 595711 ; ( 595711/202031 , 55009570/202031 ), ( 29037/696355 , 60948906/696355 )
**u= 89/71 , ht= 303007 ; ( -68039/303007 , -27752426/303007 ), ( 1443911/833169 , -7840690/43851 )
**u= 89/92 , ht= 371709 ; ( -371709/257939 , 46022630/257939 ), ( -1743671/2075525 , -275742979/2075525 )
**u= 89/95 , ht= 3782569 ; ( 10511819/2350839 , 371132812/783613 ), ( 3782569/404651 , -393233924/404651 )
**u= 89/96 , ht= 210563 ; ( -210563/47686 , 179466001/381488 ), ( -666166/377483 , -636504489/3019864 )
**u= 89/98 , ht= 182855 ; ( -182855/12791 , -134707276/89537 ), ( -314693/67533 , 236540330/472731 )
**u= 89/101 , ht= 851747 ; ( -714359/851747 , 118482736/851747 ), ( 1205163731/330959443 , 133206080978/330959443 )
**u= 89/102 , ht= 292430 ; ( -73529/292430 , 64594189/584860 ), ( 88381702/7048687 , -18993256075/14097374 )
**u= 89/104 , ht= 13893 ; ( 2531/13893 , 509109/4631 ), ( 1578831/981143 , -201042639/981143 )
**u= 89/105 , ht= 101257 ; ( 101257/42947 , -11952472/42947 ), ( -111059/259171 , 30641146/259171 )
**u= 89/116 , ht= 1416521 ; ( -3129171/577667 , 363455614/577667 ), ( -1161463/1416521 , -209233016/1416521 )
**u= 89/117 , ht= 1157945 ; ( -146137/1157945 , 133887586/1157945 ), ( -7199455/2360511 , 2607431926/7081533 )
**u= 89/120 , ht= 136964 ; ( 79871/276121 , -33393815/276121 ), ( 136964/2819 , 63661521/11276 )
**u= 89/125 , ht= 35787 ; ( -693257/92983 , 414674806/464915 ), ( -32713/35787 , 5748956/35787 )
**u= 89/129 , ht= 7317203 ; ( 32827813/6375847 , -4028046860/6375847 ), ( -7317203/878339 , 887715002/878339 )
**u= 89/134 , ht= 32911 ; ( 453637/28522 , -111600175/57044 ), ( -9902/32911 , 8438381/65822 )
**u= 89/139 , ht= 3550657 ; ( 3550657/183717 , -148181180/61239 ), ( 190599369/13996399 , -23895884610/13996399 )
**u= 89/143 , ht= 329239 ; ( -2362771/933665 , -322192556/933665 ), ( 142195/329239 , -45481796/329239 )
**u= 89/146 , ht= 754291 ; ( 4048933/273373 , 520023170/273373 ), ( -125213/754291 , -97979764/754291 )
**u= 89/150 , ht= 82361 ; ( 3493013/1935709 , 2593523842/9678545 ), ( -82361/4873 , -53582368/24365 )
**u= 89/153 , ht= 3497013 ; ( 12607907/249485 , 1654215518/249485 ), ( 3497013/1957595 , 1577178962/5872785 )
**u= 89/156 , ht= 3695659 ; ( -3695659/138821 , 489867790/138821 ), ( 451975657/10747753 , 59886048820/10747753 )
**u= 89/157 , ht= 841001 ; ( 841001/55155 , -37331516/18385 ), ( -11573805/41527 , -1537992804/41527 )
**u= 89/161 , ht= 14001899 ; ( -45692653/2098909 , 6155109142/2098909 ), ( -14001899/321029 , 1884687470/321029 )
**u= 89/162 , ht= 104345 ; ( -104345/279 , 4089124/81 ), ( 279/104345 , 126762844/939105 )
**u= 89/165 , ht= 11911439 ; ( -11911439/1393061 , 1633710520/1393061 ), ( 16553143/1323643 , 2262203320/1323643 )
**u= 89/171 , ht= 211281 ; ( -211281/130037 , -103217068/390111 ), ( 3678391/3890811 , 2227651400/11672433 )
**u= 89/173 , ht= 21961891 ; ( 21961891/3312145 , -3098101796/3312145 ), ( 54572795/5538021 , -7651540174/5538021 )
**u= 89/174 , ht= 85103 ; ( 67250303/37855439 , 10795911504/37855439 ), ( 85103/68863 , -15314740/68863 )
**u= 89/177 , ht= 209903 ; ( 154207/209903 , 36749330/209903 ), ( 466967/2195195 , 316657312/2195195 )
**u= 89/183 , ht= 443035 ; ( 105583/443035 , 65340632/443035 ), ( 4604533/3639025 , -841988956/3639025 )
**u= 89/189 , ht= 746867 ; ( -4593221/669337 , 2030262076/2008011 ), ( 306959/746867 , -353189392/2240601 )
**u= 89/191 , ht= 2163547 ; ( -2163547/1377593 , -375930620/1377593 ), ( -3008899/2713079 , 593813080/2713079 )
**u= 89/200 , ht= 8793 ; ( -8688/49663 , -30246689/198652 ), ( -3193/8793 , -1403038/8793 )
**u= 90/7 , ht= 251 ; ( 251/34 , -10559/51 ), ( -4834/1627 , 428350/4881 )
**u= 90/29 , ht= 7857 ; ( 285/12562 , 1070683/18843 ), ( 7190/7857 , 1814546/23571 )
**u= 90/89 , ht= 33165 ; ( -236957/25860 , 35572283/38790 ), ( 24532/33165 , -12312746/99495 )
**u= 90/109 , ht= 52930 ; ( -1048745/248794 , -178013419/373191 ), ( 52930/2027 , -17496766/6081 )
**u= 90/121 , ht= 1748 ; ( 13805/2128 , -26736371/35112 ), ( -1748/659 , -650150/1977 )
**u= 90/167 , ht= 13662 ; ( -2537/13662 , 2840693/20493 ), ( -13662/2537 , -5681386/7611 )
**u= 90/169 , ht= 1412 ; ( 229/1412 , 294175/2118 ), ( 29560/59503 , 27327154/178509 )
**u= 90/187 , ht= 199348 ; ( 99269/199348 , 48175225/299022 ), ( 401956/107993 , 180074810/323979 )
**u= 91/10 , ht= 148 ; ( 139/349 , -12478/349 ), ( -148/147 , -13837/294 )
**u= 91/12 , ht= 53 ; ( 2723/605 , 101212/605 ), ( 53/25 , 2131/25 )
**u= 91/15 , ht= 317 ; ( 317/67 , 13150/67 ), ( -67/317 , 13150/317 )
**u= 91/37 , ht= 2693 ; ( -2693/1303 , -190840/1303 ), ( -8027/6625 , -664004/6625 )
**u= 91/40 , ht= 112 ; ( -83/112 , 36989/448 ), ( -452/907 , -268861/3628 )
**u= 91/46 , ht= 481 ; ( 9889/4967 , -787142/4967 ), ( 481/297 , -40214/297 )
**u= 91/55 , ht= 1 ; ( 1 , -110 ), ( -24396937/24405003 , 2684106676/24405003 )
**u= 91/58 , ht= 327 ; ( 601/95 , 48598/95 ), ( -327/137 , 28320/137 )
**u= 91/67 , ht= 92635 ; ( -92635/45333 , 2951182/15111 ), ( -268785/1187 , 23076132/1187 )
**u= 91/68 , ht= 345 ; ( 233/345 , 12002/115 ), ( 2253/995 , -213018/995 )
**u= 91/69 , ht= 2773 ; ( 8639/6293 , 931136/6293 ), ( -2563/2773 , -328970/2773 )
**u= 91/72 , ht= 290 ; ( -209/290 , -127251/1160 ), ( -9274/5415 , -11468911/64980 )
**u= 91/82 , ht= 31 ; ( 146085/13942 , 27873703/27884 ), ( -10/31 , 6187/62 )
**u= 91/85 , ht= 5527 ; ( -11141/3219 , -10102/29 ), ( -1443/5527 , -552336/5527 )
**u= 91/94 , ht= 18934 ; ( -18934/18243 , 1782391/12162 ), ( 66213/26827 , 7264680/26827 )
**u= 91/99 , ht= 14933 ; ( -14933/3877 , 1609970/3877 ), ( 276449/40433 , 29156398/40433 )
**u= 91/108 , ht= 8953 ; ( 21871/1459 , 2389095/1459 ), ( -4535/8953 , 3281618/26859 )
**u= 91/129 , ht= 1631 ; ( 267977/15137 , 31972390/15137 ), ( 857/1631 , -219474/1631 )
**u= 91/139 , ht= 13269 ; ( 2299/13269 , -555070/4423 ), ( -7719/24677 , -3197148/24677 )
**u= 91/141 , ht= 2369 ; ( 235721/20273 , 29464562/20273 ), ( -1861/2369 , -375180/2369 )
**u= 91/148 , ht= 325 ; ( -5645/5423 , -998777/5423 ), ( -325/177 , 47219/177 )
**u= 91/160 , ht= 789 ; ( -913621/188629 , -123760960/188629 ), ( 149/789 , 106522/789 )
**u= 91/162 , ht= 222050 ; ( -88779/222050 , 574620293/3996900 ), ( 2986315/1154747 , 1282247096/3464241 )
**u= 91/166 , ht= 10563 ; ( -151076/42231 , -14131535/28154 ), ( 10563/4421 , -1547358/4421 )
**u= 91/176 , ht= 1347 ; ( 929/1347 , -151783/898 ), ( 77043/5059 , 10742937/5059 )
**u= 91/177 , ht= 211 ; ( -25/211 , -29648/211 ), ( 211/25 , 29648/25 )
**u= 91/178 , ht= 7597 ; ( -7597/413 , -1064600/413 ), ( -61489/68095 , -12838256/68095 )
**u= 91/181 , ht= 10351 ; ( 86883/15569 , 12454636/15569 ), ( 10351/5283 , -1639796/5283 )
**u= 91/190 , ht= 851 ; ( -61/851 , 123344/851 ), ( 20221/36086 , -11960189/72172 )
**u= 91/192 , ht= 4463 ; ( 3503/4463 , 824525/4463 ), ( 23875/131 , -3469759/131 )
**u= 91/194 , ht= 153923 ; ( -153923/22779 , 7576726/7593 ), ( -260631/64513 , 39222762/64513 )
**u= 99 , ht= 17 ; ( -17/9 , 494/27 ), ( 81/7 , 2986/21 )
**u= 99/4 , ht= 137 ; ( -137/51 , -8717/153 ), ( -741/293 , -48608/879 )
**u= 99/20 , ht= 7541 ; ( -7541/5429 , -1253312/16287 ), ( -5429/7541 , 1253312/22623 )
**u= 99/25 , ht= 2889 ; ( 2889/1357 , 2406532/20355 ), ( -15531/719 , -2345980/2157 )
**u= 99/31 , ht= 4633 ; ( 11961/1607 , -2026502/4821 ), ( -327/4633 , 779890/13899 )
**u= 99/34 , ht= 921 ; ( 18961/3423 , 3388436/10269 ), ( 122/921 , -326767/5526 )
**u= 99/53 , ht= 2351 ; ( 33593/53203 , -13818800/159609 ), ( 2351/1715 , 639104/5145 )
**u= 99/56 , ht= 2171 ; ( -797/2171 , 522101/6513 ), ( 5963/20789 , 4881892/62367 )
**u= 99/58 , ht= 7235 ; ( 29291/3336 , -13544615/20016 ), ( -7235/2451 , -1755052/7353 )
**u= 99/59 , ht= 39277 ; ( -19133/39277 , 10123730/117831 ), ( 156163/2999 , 36193904/8997 )
**u= 99/64 , ht= 9183 ; ( 9183/3077 , -9348475/36924 ), ( 14997/5009 , 15263759/60108 )
**u= 99/70 , ht= 3324 ; ( -2889/11111 , 2897660/33333 ), ( -1219/3324 , -1787081/19944 )
**u= 99/86 , ht= 71 ; ( -66329/153487 , -46776878/460461 ), ( 71/28 , -42703/168 )
**u= 99/91 , ht= 66373 ; ( 18509/107871 , 31496260/323613 ), ( -66373/33909 , -21448582/101727 )
**u= 99/103 , ht= 72549 ; ( -300935/29901 , 92583896/89703 ), ( -72549/29215 , -23944804/87645 )
**u= 99/113 , ht= 19841 ; ( 17129/19841 , 8405450/59523 ), ( 2503/20357 , -6576940/61071 )
**u= 99/122 , ht= 119248 ; ( 777505/185012 , -532583203/1110072 ), ( -119248/2935 , 79491437/17610 )
**u= 99/124 , ht= 16719 ; ( 2704621/1735251 , 1079434280/5205753 ), ( -12607/16719 , -7033886/50157 )
**u= 99/137 , ht= 15641 ; ( -15641/3539 , 5662160/10617 ), ( 117473/127337 , 61171190/382011 )
**u= 99/146 , ht= 17539 ; ( -17539/5018 , -13298801/30108 ), ( 80327/72151 , -39356212/216453 )
**u= 99/148 , ht= 4021 ; ( -4021/345 , -1481063/1035 ), ( -41893/46833 , 23059985/140499 )
**u= 99/152 , ht= 9967 ; ( 32096/86645 , -137458489/1039740 ), ( 9967/752 , 14869765/9024 )
**u= 99/155 , ht= 172373 ; ( 172373/99833 , -74810944/299499 ), ( -217769/323801 , -146552306/971403 )
**u= 99/157 , ht= 343257 ; ( 365775/78779 , -141425168/236337 ), ( 108385/343257 , -136057882/1029771 )
**u= 99/158 , ht= 2545 ; ( -1247/2545 , -1074644/7635 ), ( -17917/490 , -13592869/2940 )
**u= 99/169 , ht= 3831 ; ( -10653/22543 , -127113260/879177 ), ( 3831/1649 , -21263350/64311 )
**u= 99/170 , ht= 24029 ; ( -11501/24029 , 10477904/72087 ), ( 58468/94933 , -87704669/569598 )
**u= 99/179 , ht= 158531 ; ( 8887/158531 , -64083472/475593 ), ( 355571/146141 , 155156170/438423 )
**u= 99/185 , ht= 17519 ; ( 4303/106423 , 43701854/319269 ), ( -10231/17519 , 8324090/52557 )
**u= 99/188 , ht= 5695 ; ( -4381537/2247155 , 2036723129/6741465 ), ( 2687/5695 , -2604568/17085 )
**u= 99/196 , ht= 32877 ; ( -291733/34581 , -124068484/103743 ), ( -32877/4931 , -98281594/103551 )
**u= 100/49 , ht= 3701 ; ( 3097/3701 , -2365891/25907 ), ( -6651/11753 , -6620109/82271 )
**u= 100/61 , ht= 1137443 ; ( -171251/1137443 , 89889035/1137443 ), ( -830865161/68860073 , 65151988135/68860073 )
**u= 100/81 , ht= 371 ; ( 371/57 , 304177/513 ), ( -10947/16801 , -16250549/151209 )
**u= 100/109 , ht= 821089 ; ( 186927/821089 , -87963215/821089 ), ( 1249441/39977 , 130580203/39977 )
**u= 100/141 , ht= 30737 ; ( -30737/22279 , 4509979/22279 ), ( -22279/30737 , -4509979/30737 )
**u= 100/169 , ht= 15437 ; ( 6671/15437 , -28434691/200681 ), ( 34759/15973 , 64680979/207649 )
**u= 101/2 , ht= 791 ; ( 271/791 , 12350/791 ), ( 113387/33475 , -1751246/33475 )
**u= 101/9 , ht= 1527 ; ( 1527/19 , -136396/57 ), ( -168053/38187 , 15484810/114561 )
**u= 101/11 , ht= 2131 ; ( -201/2131 , 70820/2131 ), ( 33943/21381 , 1325752/21381 )
**u= 101/14 , ht= 36901 ; ( 36901/34094 , -3742465/68188 ), ( 43226/7757 , 3275719/15514 )
**u= 101/15 , ht= 2712079 ; ( -105497023/14455847 , 4101166714/14455847 ), ( -2712079/8921 , 104688230/8921 )
**u= 101/19 , ht= 63387 ; ( -33378179/5250303 , 162805384/583367 ), ( -63387/29789 , -3040614/29789 )
**u= 101/23 , ht= 29819 ; ( -18451/71525 , 3528182/71525 ), ( -29819/4911 , -1443520/4911 )
**u= 101/26 , ht= 3683 ; ( 2661/3683 , 230678/3683 ), ( -139761/27848 , -14473203/55696 )
**u= 101/27 , ht= 68407 ; ( -13733/68407 , -10831280/205221 ), ( 289043/517 , 44871890/1551 )
**u= 101/28 , ht= 104547 ; ( -205531/3147099 , 55397300/1049033 ), ( 104547/63005 , 6431172/63005 )
**u= 101/32 , ht= 1315 ; ( 1091/1315 , -96229/1315 ), ( 1118785/495687 , 137848081/991374 )
**u= 101/33 , ht= 54473 ; ( 1712945/267803 , 99129688/267803 ), ( 49655/54473 , 221854/2867 )
**u= 101/41 , ht= 19009 ; ( 1360059/192133 , -87545462/192133 ), ( 15647/19009 , -1569398/19009 )
**u= 101/44 , ht= 154201 ; ( 154201/91347 , 3944907/30449 ), ( -112429/267709 , 19172470/267709 )
**u= 101/47 , ht= 487167 ; ( 487167/243143 , -37157890/243143 ), ( -5188937/60485 , 354211984/60485 )
**u= 101/54 , ht= 1719539 ; ( 4554743/712217 , 1011690860/2136651 ), ( 1719539/58013 , -125878088/58013 )
**u= 101/55 , ht= 240391 ; ( -240391/80589 , -6239264/26863 ), ( -794559/11939 , 58674504/11939 )
**u= 101/56 , ht= 7346 ; ( 39673/71914 , -24475891/287656 ), ( 7346/4477 , 2563679/17908 )
**u= 101/71 , ht= 50863 ; ( -239629/1546447 , 131278552/1546447 ), ( 50863/23741 , -4708708/23741 )
**u= 101/72 , ht= 5107895 ; ( -15480070/6398431 , -5659655757/25593724 ), ( 5107895/1017694 , -1759938629/4070776 )
**u= 101/75 , ht= 737353 ; ( -737353/336305 , 349347406/1681525 ), ( 1976837/314255 , -862910768/1571275 )
**u= 101/77 , ht= 771895 ; ( 771895/40829 , 67522432/40829 ), ( 25088785/8970529 , -2327662946/8970529 )
**u= 101/78 , ht= 64735 ; ( -64735/32986 , -12775747/65972 ), ( -608350/600377 , 150299163/1200754 )
**u= 101/82 , ht= 434391 ; ( -16782226/705135 , 1009457879/470090 ), ( -434391/120290 , -3533493/10460 )
**u= 101/83 , ht= 3588493 ; ( -1467867/3588493 , 351652750/3588493 ), ( -25308911/478359 , -2295950210/478359 )
**u= 101/84 , ht= 116849 ; ( -62678107/32542991 , -6443656857/32542991 ), ( -116849/30683 , 11023353/30683 )
**u= 101/92 , ht= 404155 ; ( -5403431/2808995 , 581509279/2808995 ), ( -404155/65413 , -39095408/65413 )
**u= 101/93 , ht= 1348873 ; ( -863225/1348873 , 153749722/1348873 ), ( 8867495/1604567 , -865180686/1604567 )
**u= 101/102 , ht= 320885 ; ( 320885/163397 , -36204524/163397 ), ( 367240/623311 , 145475747/1246622 )
**u= 101/104 , ht= 812923 ; ( 16608096/735577 , -6751001651/2942308 ), ( -812923/265284 , 347268289/1061136 )
**u= 101/107 , ht= 1775 ; ( 4597071/823609 , 480928910/823609 ), ( 277/1775 , -184996/1775 )
**u= 101/108 , ht= 1729865 ; ( -2074355/534221 , 221609184/534221 ), ( -1729865/526537 , -561241268/1579611 )
**u= 101/111 , ht= 117223 ; ( -3927923/1693339 , -448631194/1693339 ), ( 33811/117223 , -12796056/117223 )
**u= 101/113 , ht= 18245 ; ( 10561/18245 , 2230972/18245 ), ( 2559473/3817615 , 486397718/3817615 )
**u= 101/114 , ht= 166519 ; ( 16013126/1917083 , 3428442303/3834166 ), ( -166519/26863 , -17929142/26863 )
**u= 101/118 , ht= 236772 ; ( 155765/236772 , 20432953/157848 ), ( -23435049/2002919 , -2543615460/2002919 )
**u= 101/122 , ht= 3809507 ; ( -6715385/3837737 , -850496384/3837737 ), ( -3809507/127067 , -419134990/127067 )
**u= 101/123 , ht= 70115065 ; ( -70115065/11837539 , -7850842316/11837539 ), ( -671425117/56510777 ,
-74395473180/56510777 )
**u= 101/126 , ht= 48693 ; ( 43219/48693 , 21826786/146079 ), ( -282714/231443 , -244976039/1388658 )
**u= 101/129 , ht= 825667 ; ( 7328531/65057 , 828664244/65057 ), ( -825667/327421 , 100432766/327421 )
**u= 101/136 , ht= 232383 ; ( 657319/495111 , 31846550/165037 ), ( -232383/3254 , 107929137/13016 )
**u= 101/137 , ht= 2878755 ; ( 24430337/712075 , -2847899168/712075 ), ( -347869/2878755 , 337880822/2878755 )
**u= 101/143 , ht= 9821635 ; ( 9821635/61599 , 389753512/20533 ), ( 273594435/36419497 , -32858740824/36419497 )
**u= 101/145 , ht= 33746379 ; ( -47186399/1616031 , 1886623454/538677 ), ( -33746379/4056629 , -4074628590/4056629 )
**u= 101/152 , ht= 7745 ; ( -188623/47415 , 7957059/15805 ), ( -7745/791 , 955559/791 )
**u= 101/164 , ht= 1937809 ; ( 290347/1937809 , 249812507/1937809 ), ( 374573/2008833 , 260519275/2008833 )
**u= 101/167 , ht= 4407497 ; ( -12084723/10536095 , -2062636532/10536095 ), ( 4407497/179057 , -567503650/179057 )
**u= 101/170 , ht= 700997 ; ( -700997/348587 , -101619428/348587 ), ( 5172331/186044 , -1343636195/372088 )
**u= 101/179 , ht= 6035257 ; ( 6035257/711969 , 269808186/237323 ), ( 36156693/11106001 , 5037932916/11106001 )
**u= 101/182 , ht= 14535737 ; ( -24229965/476171 , 3254807758/476171 ), ( 14535737/445297 , -1953152390/445297 )
**u= 101/185 , ht= 1156161 ; ( 1156161/493121 , -170196866/493121 ), ( 3816349/747939 , -526596022/747939 )
**u= 101/199 , ht= 275787 ; ( -20669/275787 , 12946562/91929 ), ( -275787/20669 , -38839686/20669 )
**u= 104/5 , ht= 22 ; ( 13/22 , -1127/44 ), ( 3617/282 , -160867/564 )
**u= 104/21 , ht= 446 ; ( 103/446 , 41181/892 ), ( 1223/446 , -117107/892 )
**u= 104/33 , ht= 205 ; ( -4/205 , 23117/410 ), ( -205/4 , 23117/8 )
**u= 104/89 , ht= 3570872 ; ( 650871/3570872 , 671909189/7141744 ), ( 40758152/6959779 , -7654113719/13919558 )
**u= 104/125 , ht= 2519 ; ( -1106/2519 , 603529/5038 ), ( -9026/2619 , -10308857/26190 )
**u= 104/137 , ht= 81980 ; ( 926036/38855 , -212860091/77710 ), ( -81980/22003 , -19494343/44006 )
**u= 104/141 , ht= 5582 ; ( -180827/13706 , -42251421/27412 ), ( 1117/5582 , 1326325/11164 )
**u= 104/177 , ht= 76067 ; ( 76067/48632 , 23568275/97264 ), ( -4127956/79511 , 1077795455/159022 )
**u= 104/189 , ht= 1978 ; ( -263/1978 , 538265/3956 ), ( -1500203/182674 , -1223014897/1096044 )
**u= 104/197 , ht= 65546 ; ( 25555/65546 , 19374887/131092 ), ( 904625/398926 , 272283491/797852 )
**u= 106 , ht= 12 ; ( 67/4 , 217/2 ), ( 12/11 , -162/11 )
**u= 106/21 , ht= 74398 ; ( 27301/82118 , -1927829/41059 ), ( -74398/60583 , 4273170/60583 )
**u= 106/37 , ht= 18542 ; ( -15027/18542 , 705415/9271 ), ( -20778/45785 , 2971626/45785 )
**u= 106/81 , ht= 584352 ; ( -272117/584352 , 253702295/2629584 ), ( -1982612/1113329 , 596613926/3339987 )
**u= 106/85 , ht= 37606 ; ( 297827/319978 , -19582141/159989 ), ( 37606/21231 , -3869170/21231 )
**u= 106/117 , ht= 39070 ; ( -4139/39070 , 2064917/19535 ), ( 6054/96365 , -30446974/289095 )
**u= 106/181 , ht= 124037 ; ( -124037/98878 , -10369205/49439 ), ( 5840858/141349 , 763854938/141349 )
**u= 106/193 , ht= 1720912 ; ( -287253/1720912 , 1996135/14584 ), ( 7006604/2058799 , -985907110/2058799 )
**u= 109 , ht= 683 ; ( -351/683 , -8536/683 ), ( -1117/5251 , 34814/5251 )
**u= 109/4 , ht= 2287 ; ( 2223/2287 , 61160/2287 ), ( 5213/627 , -102430/627 )
**u= 109/6 , ht= 524 ; ( -100279/220583 , -5718556/220583 ), ( -524/179 , -26165/358 )
**u= 109/7 , ht= 625 ; ( -696177/788635 , -26691664/788635 ), ( -625/569 , -21442/569 )
**u= 109/21 , ht= 28291 ; ( 2316739/600367 , -105038556/600367 ), ( -28291/563 , -1243482/563 )
**u= 109/23 , ht= 40287 ; ( -9485/40287 , -634372/13429 ), ( 4078497/2086007 , 210605910/2086007 )
**u= 109/30 , ht= 7673 ; ( -1429141/1065989 , -93573656/1065989 ), ( -1742/7673 , 825741/15346 )
**u= 109/31 , ht= 399641 ; ( -399641/113821 , -22165460/113821 ), ( -189261/878453 , 47932878/878453 )
**u= 109/36 , ht= 151489 ; ( -1673447/88281 , -288996664/264843 ), ( 151489/41023 , -9025868/41023 )
**u= 109/42 , ht= 38765 ; ( -1549819/959555 , -113198438/959555 ), ( -38765/8632 , -4933703/17264 )
**u= 109/46 , ht= 5731 ; ( 355731/141877 , -24889406/141877 ), ( -5731/2733 , -412712/2733 )
**u= 109/49 , ht= 11283 ; ( 2611/11283 , -1812922/26327 ), ( 10839/16619 , 9316380/116333 )
**u= 109/58 , ht= 613773 ; ( 448555/613773 , -18494458/204591 ), ( -2058731/1236336 , 350539525/2472672 )
**u= 109/61 , ht= 1227837 ; ( 457767609/13266221 , 34273739000/13266221 ), ( -764911/1227837 , 108268988/1227837 )
**u= 109/66 , ht= 104909 ; ( 29042/104909 , 16950329/209818 ), ( 11205737/751601 , -874420246/751601 )
**u= 109/69 , ht= 492797 ; ( 83213/492797 , -39785690/492797 ), ( -2668687/412577 , -214971430/412577 )
**u= 109/72 , ht= 55405 ; ( -55405/11989 , 4609281/11989 ), ( 2568641/231630 , -2516736757/2779560 )
**u= 109/73 , ht= 2184215 ; ( -2896953/398413 , 239415440/398413 ), ( 2184215/733559 , -188663086/733559 )
**u= 109/77 , ht= 2648955 ; ( -393359/2648955 , 75068816/882985 ), ( 42396357/13907275 , -3752212218/13907275 )
**u= 109/79 , ht= 767323 ; ( -767323/142441 , 66471136/142441 ), ( -3660227/1167621 , -327254918/1167621 )
**u= 109/81 , ht= 699631 ; ( 7445851/493719 , -5792103680/4443471 ), ( 699631/386417 , 68934998/386417 )
**u= 109/85 , ht= 1522857 ; ( 118709743/1083137 , 10488173438/1083137 ), ( 1061273/1522857 , 163993454/1522857 )
**u= 109/90 , ht= 63417 ; ( -539144/110971 , 100081811/221942 ), ( 63417/51487 , -22279118/154461 )
**u= 109/93 , ht= 1634305 ; ( 202477/1634305 , 152195052/1634305 ), ( 7143271/175525 , -660371532/175525 )
**u= 109/104 , ht= 489373 ; ( -489373/155739 , 16729307/51913 ), ( 1318929/473084 , -547762215/1892336 )
**u= 109/105 , ht= 3587293 ; ( 9242729/416009 , -908503234/416009 ), ( -3587293/2129117 , 409638958/2129117 )
**u= 109/111 , ht= 950591 ; ( -2266057/25501 , -228798488/25501 ), ( -950591/529261 , -109849740/529261 )
**u= 109/112 , ht= 633363 ; ( 633363/139073 , -131525905/278146 ), ( -2898657/696625 , 302351223/696625 )
**u= 109/115 , ht= 57773 ; ( 2424323/2338993 , 346191524/2338993 ), ( 57773/23227 , 6399110/23227 )
**u= 109/122 , ht= 865405 ; ( 865405/120843 , 30829526/40281 ), ( -1529241/2026879 , 268753410/2026879 )
**u= 109/131 , ht= 785031 ; ( 543467/785031 , 34908416/261677 ), ( -33080037/1878623 , 3634227300/1878623 )
**u= 109/133 , ht= 262755 ; ( -1317459/533635 , 157090526/533635 ), ( -141299/262755 , -32971162/262755 )
**u= 109/139 , ht= 3051949 ; ( -3051949/705073 , -353894128/705073 ), ( 5312061/3538069 , 721111710/3538069 )
**u= 109/148 , ht= 3761025 ; ( 554501239/23033019 , -21566734875/7677673 ), ( 3761025/1654517 , 479027043/1654517 )
**u= 109/154 , ht= 70443 ; ( 70443/60083 , 11010550/60083 ), ( 920903/37769 , -109609552/37769 )
**u= 109/156 , ht= 79019 ; ( 1438031/3623903 , 466659806/3623903 ), ( -25813/79019 , 9949716/79019 )
**u= 109/162 , ht= 6462 ; ( 6462/1375 , 14504803/24750 ), ( 1385647/597450 , 3312952931/10754100 )
**u= 109/174 , ht= 6694313 ; ( -6694313/999706 , 1711196313/1999412 ), ( -8095822/871529 , -2058616951/1743058 )
**u= 109/176 , ht= 92727 ; ( -346691/568707 , -28225878/189569 ), ( 92727/42149 , 25899027/84298 )
**u= 109/178 , ht= 2653609 ; ( -138766939/8006165 , -17771225624/8006165 ), ( -2653609/1072910 , 731917729/2145820 )
**u= 109/184 , ht= 34221 ; ( -4552331/619518 , 796281041/826024 ), ( 34221/18259 , 5042040/18259 )
**u= 109/186 , ht= 36403 ; ( -1392796/1864901 , 608415475/3729802 ), ( -14269/36403 , -5110112/36403 )
**u= 109/187 , ht= 9344717 ; ( 22582687/4109705 , -3007958354/4109705 ), ( -9344717/3597927 , -1312230920/3597927 )
**u= 109/190 , ht= 230359 ; ( 887579/262954 , 244558705/525908 ), ( 230359/74369 , 31975514/74369 )
**u= 109/199 , ht= 390783 ; ( -448363/1329901 , 189727034/1329901 ), ( -76469/390783 , -53829776/390783 )
**u= 110 , ht= 1 ; ( -145/12 , 147/2 ), ( 0 , -6 )
**u= 110/17 , ht= 36 ; ( -19/36 , 89/2 ), ( 108/193 , -8694/193 )
**u= 110/23 , ht= 86 ; ( -29/86 , 2077/43 ), ( -542/401 , 30850/401 )
**u= 110/39 , ht= 490 ; ( -61/490 , 14711/245 ), ( 1510/1289 , -118278/1289 )
**u= 110/81 , ht= 656 ; ( -235/1144 , -150409/1716 ), ( -656/575 , -74894/575 )
**u= 110/171 , ht= 9573 ; ( 9573/3860 , 1931377/5790 ), ( -35660/2657 , 4460738/2657 )
**u= 110/181 , ht= 4781 ; ( -4781/618 , 103115/103 ), ( -6450/15089 , -2106006/15089 )
**u= 112/15 , ht= 3527 ; ( 3527/917 , -266541/1834 ), ( -26623/4627 , 1981395/9254 )
**u= 112/43 , ht= 1827 ; ( -1483/1827 , -97255/1218 ), ( -1827/1483 , 291765/2966 )
**u= 112/51 , ht= 22265 ; ( -85505/18127 , 11800849/36254 ), ( 22265/13697 , -3529917/27394 )
**u= 112/99 , ht= 10651 ; ( 119811/11285 , 67916909/67710 ), ( -10651/1515 , 6071977/9090 )
**u= 112/135 , ht= 6769 ; ( 6769/4339 , -1766337/8678 ), ( 20707/307447 , -67694061/614894 )
**u= 112/151 , ht= 16723 ; ( -482689/808245 , 72909793/538830 ), ( -16723/4945 , -4051801/9890 )
**u= 112/155 , ht= 35189 ; ( 2009/141831 , -1236689/10506 ), ( -20061/35189 , -9534915/70378 )
**u= 117/2 , ht= 7 ; ( 389/363 , -20756/1089 ), ( -7/6 , -733/36 )
**u= 117/5 , ht= 371 ; ( 371/111 , -23752/333 ), ( -2347/1473 , 172952/4419 )
**u= 117/11 , ht= 1239 ; ( 2469/115 , -226834/345 ), ( 1239/95 , 114682/285 )
**u= 117/19 , ht= 137 ; ( 53/137 , 17780/411 ), ( 502277/199645 , 65420938/598935 )
**u= 117/28 , ht= 6947 ; ( 19807/389 , 2907619/1167 ), ( -6947/263 , 1021225/789 )
**u= 117/34 , ht= 17929 ; ( -17929/4409 , 2986600/13227 ), ( -12497/20993 , -3952460/62979 )
**u= 117/37 , ht= 11839 ; ( -8881/11839 , -2498230/35517 ), ( 53221/1643 , 8989682/4929 )
**u= 117/41 , ht= 5143 ; ( -17151/479 , 3047950/1437 ), ( -1335/5143 , -943922/15429 )
**u= 117/58 , ht= 1928 ; ( 1928/43 , -815005/258 ), ( -16177/11924 , -8494289/71544 )
**u= 117/59 , ht= 29619 ; ( -14395/29619 , 7019606/88857 ), ( 124171/33075 , -27391346/99225 )
**u= 117/70 , ht= 3193 ; ( 3193/2423 , -930556/7269 ), ( 8431/521 , -1961242/1563 )
**u= 117/71 , ht= 43959 ; ( -68139/3145 , -15947884/9435 ), ( 21665/43959 , -11458346/131877 )
**u= 117/76 , ht= 38599 ; ( -25766075/3346181 , -6285029968/10038543 ), ( -38599/1415 , 9344272/4245 )
**u= 117/83 , ht= 1873 ; ( -1779/1873 , -653048/5619 ), ( 10173/102967 , 26155960/308901 )
**u= 117/85 , ht= 558097 ; ( 558097/48097 , 143301610/144291 ), ( 640171/108751 , 166129996/326253 )
**u= 117/97 , ht= 9799 ; ( 180809/137353 , 62054594/412059 ), ( -9799/7079 , 3303770/21237 )
**u= 117/98 , ht= 633 ; ( -457/633 , -1501280/13293 ), ( 129147/45587 , 37623010/136761 )
**u= 117/106 , ht= 2863 ; ( -5540/7127 , -5157893/42762 ), ( 2863/1697 , -950840/5091 )
**u= 117/109 , ht= 26035 ; ( -26035/4049 , -7632976/12147 ), ( -146273/37937 , -43779430/113811 )
**u= 117/112 , ht= 55499 ; ( 65647/49519 , 24147812/148557 ), ( 55499/48779 , 21698690/146337 )
**u= 117/115 , ht= 2077 ; ( 7279/26599 , -8206366/79797 ), ( -2017/2077 , -861536/6231 )
**u= 117/119 , ht= 228695 ; ( 228695/65427 , 72002812/196281 ), ( 69467/1167123 , -353910110/3501369 )
**u= 117/122 , ht= 40559 ; ( 855668/71391 , 526328719/428346 ), ( -40559/4032 , -24985481/24192 )
**u= 117/137 , ht= 6683 ; ( -782669/113037 , -256837826/339111 ), ( -441/6683 , -2175268/20049 )
**u= 117/149 , ht= 27903 ; ( 785/27903 , 9455138/83709 ), ( 2229605/226449 , 759104312/679347 )
**u= 117/154 , ht= 53605 ; ( -53605/52963 , -25949282/158889 ), ( 446585/167383 , 164232236/502149 )
**u= 117/158 , ht= 84002 ; ( -9771/84002 , -58995329/504012 ), ( 137298/83183 , 111986365/499098 )
**u= 117/184 , ht= 4931 ; ( -41317/37757 , 21067465/113271 ), ( -290/4931 , -7436947/59172 )
**u= 117/187 , ht= 393007 ; ( -3053861/442291 , -1170898030/1326873 ), ( -393007/33353 , 149668010/100059 )
**u= 117/188 , ht= 58009 ; ( -58009/48963 , 28881917/146889 ), ( 1236299/613173 , 525058604/1839519 )
**u= 117/193 , ht= 67547 ; ( -79771/198149 , 82344610/594447 ), ( -10811/67547 , 26370526/202641 )
**u= 117/197 , ht= 3689379 ; ( 13278579/70712353 , -28022221604/212137059 ), ( -3689379/17767 , 1436946532/53301 )
**u= 119/2 , ht= 479 ; ( 675/173 , -8308/173 ), ( 335/479 , 7348/479 )
**u= 119/8 , ht= 671 ; ( 671/240 , -24543/320 ), ( 2224/1219 , 263945/4876 )
**u= 119/9 , ht= 871 ; ( -443/871 , 26956/871 ), ( 871/443 , -26956/443 )
**u= 119/11 , ht= 2507 ; ( -8597/10741 , 418762/10741 ), ( -2507/661 , 79066/661 )
**u= 119/18 , ht= 997 ; ( -26863/47340 , -12715037/284040 ), ( 435/997 , -126886/2991 )
**u= 119/29 , ht= 9343 ; ( 16271/123803 , -6169768/123803 ), ( -9343/2199 , -474242/2199 )
**u= 119/37 , ht= 16293 ; ( 859907/156705 , -16250392/52235 ), ( 16293/4205 , -938958/4205 )
**u= 119/46 , ht= 22959 ; ( 521/95649 , 1983630/31883 ), ( -22959/5561 , 1469670/5561 )
**u= 119/57 , ht= 11915 ; ( -11503445/422551 , -796993076/422551 ), ( 11915/1997 , -836634/1997 )
**u= 119/60 , ht= 23281 ; ( -9165613/126137 , 651147185/126137 ), ( 22591/23281 , 2304622/23281 )
**u= 119/74 , ht= 38761 ; ( -38761/13927 , -3249368/13927 ), ( -156953/46769 , -12921862/46769 )
**u= 119/81 , ht= 236881 ; ( 3323259/803993 , -2539940036/7235937 ), ( 236881/64333 , 60787024/192999 )
**u= 119/92 , ht= 14729 ; ( 24557/30445 , -3440956/30445 ), ( -14729/2935 , 1321244/2935 )
**u= 119/93 , ht= 397151 ; ( 33885487/977623 , -2998207630/977623 ), ( 136379/397151 , 37139140/397151 )
**u= 119/95 , ht= 154829 ; ( 288063/1010063 , -93896290/1010063 ), ( -88751/154829 , 15953024/154829 )
**u= 119/100 , ht= 223311 ; ( 234769/252369 , -10537648/84123 ), ( -223311/173311 , 25925850/173311 )
**u= 119/107 , ht= 357599 ; ( -357599/123045 , -11959076/41015 ), ( 3021639/379595 , -288929064/379595 )
**u= 119/109 , ht= 38531 ; ( 38531/34389 , 549470/3821 ), ( -561609/199211 , -57060540/199211 )
**u= 119/113 , ht= 272955 ; ( -19021049/1937965 , -1864008824/1937965 ), ( -216109/272955 , 33942578/272955 )
**u= 119/120 , ht= 210907 ; ( 193072/210907 , -114911033/843628 ), ( 256867/97507 , -27604628/97507 )
**u= 119/137 , ht= 9491 ; ( 9491/8395 , -1360238/8395 ), ( 90203/18415 , 9883232/18415 )
**u= 119/141 , ht= 4481 ; ( 4481/4261 , -673420/4261 ), ( -123827/20651 , 13672026/20651 )
**u= 119/149 , ht= 535671 ; ( -2393193/5492483 , 670744040/5492483 ), ( -151517/535671 , 62322112/535671 )
**u= 119/155 , ht= 52877 ; ( -16377/52877 , -6320800/52877 ), ( -13438009/2644171 , 1563864104/2644171 )
**u= 119/162 , ht= 17460 ; ( -13103/17460 , 45869603/314280 ), ( -195484/93929 , 50635245/187858 )
**u= 119/165 , ht= 36257 ; ( 2047487/570407 , -250399242/570407 ), ( -3673/36257 , 4293278/36257 )
**u= 119/183 , ht= 12607295 ; ( 101697751/3237895 , 12623967906/3237895 ), ( -12607295/750607 , -1566981742/750607 )
**u= 119/186 , ht= 45817 ; ( 64369/48218 , -20119877/96436 ), ( 45817/38191 , 7460854/38191 )
**u= 119/197 , ht= 147083 ; ( -1276871/292659 , 56210400/97553 ), ( 147083/19427 , -19098470/19427 )
**u= 122/11 , ht= 64765 ; ( 64765/15612 , 332657/2602 ), ( -110904/14401 , -3369750/14401 )
**u= 122/23 , ht= 4891 ; ( 4891/4454 , -143675/2227 ), ( -40222/17071 , -1899074/17071 )
**u= 122/27 , ht= 1547 ; ( 1547/856 , -41597/428 ), ( -309364/429931 , 74777770/1289793 )
**u= 122/39 , ht= 5878 ; ( 97003/19438 , 2797535/9719 ), ( -5878/3235 , 379586/3235 )
**u= 122/59 , ht= 2067952 ; ( 34414333/29349032 , -1573432285/14674516 ), ( -2067952/549587 , -148889350/549587 )
**u= 122/71 , ht= 9781489 ; ( -18851995/2300254 , -724722247/1150127 ), ( -3527390/9781489 , 793587238/9781489 )
**u= 122/75 , ht= 45433 ; ( -42679/55096 , 2733581/27548 ), ( -844/45433 , 17821958/227165 )
**u= 122/87 , ht= 74039 ; ( 74039/19258 , -3231649/9629 ), ( 4447946/796759 , -381798750/796759 )
**u= 122/123 , ht= 768028 ; ( 4229507/1514692 , -225654775/757346 ), ( 768028/360989 , -85254446/360989 )
**u= 122/135 , ht= 148469 ; ( 275047/88838 , -45629239/133257 ), ( -90286/148469 , -54863798/445407 )
**u= 122/155 , ht= 520176 ; ( 228314951/6558936 , -4292976363/1093156 ), ( -520176/222359 , -63797058/222359 )
**u= 122/171 , ht= 544665 ; ( -123599/620696 , -37482915/310348 ), ( -43388/544665 , 194157446/1633995 )
**u= 125/9 , ht= 1057 ; ( -351/1057 , 90046/3171 ), ( 1969/911 , 292126/4555 )
**u= 125/11 , ht= 421 ; ( -421/19 , -62338/95 ), ( -2963/953 , 463096/4765 )
**u= 125/24 , ht= 2167 ; ( -2167/919 , 103142/919 ), ( 23087/3641 , -1025297/3641 )
**u= 125/26 , ht= 3361 ; ( -4424/659 , -2039809/6590 ), ( -2489/3361 , -954022/16805 )
**u= 125/36 , ht= 1313 ; ( -1313/433 , -371074/2165 ), ( -433/1313 , 3674/65 )
**u= 125/49 , ht= 4031 ; ( 4031/1983 , -656550/4627 ), ( -16821/961 , 36945168/33635 )
**u= 125/51 , ht= 47 ; ( 101021/442789 , -145141318/2213945 ), ( -47/13 , -15584/65 )
**u= 125/66 , ht= 7377739 ; ( -1125701/7377739 , -2713075352/36888695 ), ( -311584673/47972503 , -114605251646/239862515
)
**u= 125/69 , ht= 5051 ; ( 11959/9613 , 1140532/9613 ), ( 5051/1141 , -1924746/5705 )
**u= 125/71 , ht= 111679 ; ( -3265139/163451 , 1232460218/817255 ), ( -111679/28759 , -43481518/143795 )
**u= 125/74 , ht= 118279 ; ( -290529/36847 , 22542520/36847 ), ( -118279/16216 , -91909207/162160 )
**u= 125/76 , ht= 18189 ; ( 49379/32397 , 1535730/10799 ), ( 18189/1799 , -7130013/8995 )
**u= 125/81 , ht= 142037 ; ( -151251/13619 , 550355542/612855 ), ( 142037/20917 , -173452642/313755 )
**u= 125/94 , ht= 285461 ; ( -285461/38886 , -83315449/129620 ), ( -343653/114973 , -157206462/574865 )
**u= 125/96 , ht= 4 ; ( 1/4 , 14461/160 ), ( 4 , 14461/40 )
**u= 125/104 , ht= 2117 ; ( 1883/2117 , 1292818/10585 ), ( -68573/19307 , -32507293/96535 )
**u= 125/116 , ht= 69123 ; ( 69123/52477 , -41822284/262385 ), ( 181867/51077 , 91035626/255385 )
**u= 125/126 , ht= 47003 ; ( 6179/47003 , 4762158/47003 ), ( -69301/18451 , 36019502/92255 )
**u= 125/129 , ht= 125533 ; ( 1607/125533 , 63801452/627665 ), ( -129431/115669 , -88214476/578345 )
**u= 125/141 , ht= 471461 ; ( 309311/471461 , 299587412/2357305 ), ( 628987/200159 , 70140116/200159 )
**u= 125/146 , ht= 10529 ; ( 10529/1039 , 5719948/5195 ), ( -133831/62174 , -159564421/621740 )
**u= 125/149 , ht= 1188647 ; ( 1188647/19593 , 216425374/32655 ), ( 1324359/17237 , 144678936/17237 )
**u= 125/159 , ht= 130133 ; ( 543773/158357 , -319535502/791785 ), ( 16819/130133 , 14806038/130133 )
**u= 125/171 , ht= 630169 ; ( -567819/630169 , 1488938704/9452535 ), ( 56533/3365231 , -393849636/3365231 )
**u= 125/174 , ht= 63283 ; ( -161209/37586 , 195395803/375860 ), ( 63283/13693 , 38215068/68465 )
**u= 125/176 , ht= 362393 ; ( 264697/645363 , -276037619/2151210 ), ( -362393/3797 , 430256533/37970 )
**u= 125/191 , ht= 63373 ; ( -63373/22577 , 41600216/112885 ), ( -22577/63373 , -41600216/316865 )
**u= 125/194 , ht= 6829 ; ( 2076806/211521 , 867309459/705070 ), ( 6829/3822 , -1950847/7644 )
**u= 126/19 , ht= 11904 ; ( 13879/2232 , 26399/108 ), ( -11904/9053 , -1743626/27159 )
**u= 126/25 , ht= 184 ; ( -1007/2316 , -844481/17370 ), ( 184/177 , 170678/2655 )
**u= 126/31 , ht= 6226 ; ( -80161/27378 , 6303523/41067 ), ( -6226/3477 , -1061902/10431 )
**u= 126/47 , ht= 1315 ; ( 1315/1174 , 161573/1761 ), ( -28174/7969 , 5368210/23907 )
**u= 126/83 , ht= 3545 ; ( 48701/23260 , -6573593/34890 ), ( 1352/3545 , 924226/10635 )
**u= 126/109 , ht= 216078 ; ( -219601/55338 , 31610161/83007 ), ( 216078/14537 , -60460510/43611 )
**u= 126/131 , ht= 20257 ; ( 20257/16292 , -3977935/24438 ), ( 22076/26263 , 10500082/78789 )
**u= 130 , ht= 7 ; ( -7/2 , -17 ), ( 2/19 , -70/19 )
**u= 130/3 , ht= 127 ; ( 149/70 , 1213/35 ), ( 50/127 , -2002/127 )
**u= 130/19 , ht= 33 ; ( -2069/1366 , 47393/683 ), ( -14/33 , 1370/33 )
**u= 130/33 , ht= 2218 ; ( -1525/2218 , -67851/1109 ), ( -302/2909 , 147370/2909 )
**u= 130/61 , ht= 1387 ; ( -1387/504 , 16855/84 ), ( -3292/547 , -228734/547 )
**u= 130/87 , ht= 196 ; ( -2959/1480 , 135391/740 ), ( -196/65 , 16902/65 )
**u= 130/99 , ht= 249 ; ( -1107/3494 , 480025/5241 ), ( 194/249 , 82678/747 )
**u= 130/103 , ht= 406415 ; ( -1554761/808780 , -78035593/404390 ), ( -217868/406415 , -41065442/406415 )
**u= 130/119 , ht= 21617 ; ( -21617/636 , -345015/106 ), ( 82128/15809 , 8006130/15809 )
**u= 130/151 , ht= 67703 ; ( -156379/187032 , -4381335/31172 ), ( -63928/67703 , -10040494/67703 )
**u= 130/177 , ht= 707 ; ( -707/530 , 51577/265 ), ( -4058/20165 , 2401294/20165 )
**u= 130/193 , ht= 11318 ; ( 49931/3418 , -3050525/1709 ), ( -11318/69 , -59990/3 )
**u= 136 , ht= 7 ; ( -83/26 , 733/52 ), ( 7/6 , -169/12 )
**u= 136/25 , ht= 5666 ; ( 4083/5666 , 2996507/56660 ), ( -11674/6049 , 1128485/12098 )
**u= 136/37 , ht= 230849 ; ( -549424/59929 , -57664855/119858 ), ( 230849/221044 , -33358585/442088 )
**u= 136/45 , ht= 6772 ; ( -6772/5413 , 997831/10826 ), ( 102448/32463 , -37116457/194778 )
**u= 136/49 , ht= 6831 ; ( 1858/6831 , -661433/10626 ), ( -584822/27781 , 492345509/388934 )
**u= 136/73 , ht= 73930 ; ( 73930/24509 , -11417527/49018 ), ( -79385/228018 , -35393387/456036 )
**u= 136/77 , ht= 2735 ; ( 2735/348 , -138361/232 ), ( 453720/943319 , -157597797/1886638 )
**u= 136/113 , ht= 209754 ; ( -298817/62082 , 6185025/13796 ), ( -209754/43705 , -39081393/87410 )
**u= 136/129 , ht= 3798634 ; ( 30514091/2056046 , -5959976715/4112092 ), ( 2393179/3798634 , -874942235/7597268 )
**u= 136/149 , ht= 1297233 ; ( -1294324/1297233 , -127936811/864822 ), ( 3087597/2314696 , 808232373/4629392 )
**u= 136/157 , ht= 1814645 ; ( -1814645/194876 , 392374799/389752 ), ( 22601225/25128188 , -7266168389/50256376 )
**u= 137 , ht= 475 ; ( -785/549 , 2248/183 ), ( 39/475 , -1116/475 )
**u= 137/3 , ht= 1511 ; ( 1933/11227 , 176750/11227 ), ( 559/1511 , 22890/1511 )
**u= 137/6 , ht= 3935 ; ( 3935/721 , 82736/721 ), ( 20870/79 , -885259/158 )
**u= 137/8 , ht= 356 ; ( -356/157 , -37441/628 ), ( 2619/25712 , -2481423/102848 )
**u= 137/11 , ht= 3505 ; ( 2823/3505 , -127694/3505 ), ( 56663/7515 , -1626512/7515 )
**u= 137/12 , ht= 77069 ; ( 325607/42791 , 9693696/42791 ), ( -61889/77069 , -2924735/77069 )
**u= 137/15 , ht= 100697 ; ( 100697/48287 , -3692282/48287 ), ( 83143/453103 , 15220994/453103 )
**u= 137/21 , ht= 139445 ; ( 139445/76949 , 6235146/76949 ), ( -441901/1278419 , -52940110/1278419 )
**u= 137/23 , ht= 4283 ; ( -7591/2483 , -327176/2483 ), ( -4283/1743 , 189680/1743 )
**u= 137/27 , ht= 32741 ; ( 32741/3773 , 4388786/11319 ), ( -88469/87007 , 16534168/261021 )
**u= 137/30 , ht= 249241 ; ( 262493/197243 , 15370170/197243 ), ( 148681/249241 , 13584256/249241 )
**u= 137/32 , ht= 277 ; ( -277/163 , 31075/326 ), ( -15283/2264 , 5979079/18112 )
**u= 137/39 , ht= 82315 ; ( -6000043/953735 , 324216072/953735 ), ( -64793/82315 , -5591624/82315 )
**u= 137/45 , ht= 19971 ; ( 289082503/14239133 , 16592466532/14239133 ), ( -19971/9539 , -3807778/28617 )
**u= 137/51 , ht= 132065 ; ( 62909/132065 , -8930688/132065 ), ( -300299/382319 , -29675540/382319 )
**u= 137/53 , ht= 233843 ; ( 2133559/106221 , 44304060/35407 ), ( 233843/178829 , -18320146/178829 )
**u= 137/57 , ht= 1079011 ; ( -1079011/175597 , -70540202/175597 ), ( 17190749/7065497 , -1199573844/7065497 )
**u= 137/63 , ht= 328259 ; ( 1148583/568927 , -260870830/1706781 ), ( 328259/251273 , -28047968/251273 )
**u= 137/69 , ht= 402941 ; ( 3246157/1993715 , 270478098/1993715 ), ( 402941/114329 , 29742180/114329 )
**u= 137/71 , ht= 3309529 ; ( -3309529/1108659 , -83790280/369553 ), ( 10033629/4958549 , 806154450/4958549 )
**u= 137/72 , ht= 141428 ; ( -141428/45057 , 129181195/540684 ), ( 259173/50467 , 57458165/151401 )
**u= 137/74 , ht= 780717 ; ( -780717/334907 , -62462570/334907 ), ( -2198479/738951 , 170556190/738951 )
**u= 137/75 , ht= 15047 ; ( -357083/91033 , -27277084/91033 ), ( -7153/15047 , -1233266/15047 )
**u= 137/82 , ht= 2263317 ; ( -5132333/332709 , -132689898/110903 ), ( -2263317/480157 , 179100270/480157 )
**u= 137/86 , ht= 962385 ; ( -374039841/49678289 , 29908480360/49678289 ), ( 414178/962385 , 166098031/1924770 )
**u= 137/87 , ht= 6677291 ; ( 15852973/64801841 , 5319236424/64801841 ), ( -6677291/1126957 , 539934454/1126957 )
**u= 137/89 , ht= 31125 ; ( 31125/1093 , 2511326/1093 ), ( -1093/31125 , -2511326/31125 )
**u= 137/90 , ht= 332917 ; ( 4680089/2579759 , -433342662/2579759 ), ( 332917/144002 , -58830719/288004 )
**u= 137/104 , ht= 38851 ; ( 340878/86455 , -122617667/345820 ), ( -17179/38851 , -3702895/38851 )
**u= 137/107 , ht= 751413 ; ( -82973/751413 , 22282050/250471 ), ( 43911257/476833899 , 42338163872/476833899 )
**u= 137/123 , ht= 621827 ; ( 1192697/3252209 , -328396978/3252209 ), ( 621827/327611 , 66631474/327611 )
**u= 137/125 , ht= 204821 ; ( 403807/109413 , 22211908/60785 ), ( 204821/14881 , -98132384/74405 )
**u= 137/126 , ht= 313151 ; ( 313151/227471 , -37136720/227471 ), ( -874900/17243 , -167929727/34486 )
**u= 137/131 , ht= 10315417 ; ( -14175543/81193505 , -8063896786/81193505 ), ( 10315417/3365605 , 1061585572/3365605 )
**u= 137/135 , ht= 70327 ; ( 70327/11587 , -21235984/34761 ), ( 117025777/6626167 , 34924691906/19878501 )
**u= 137/141 , ht= 1548917 ; ( 222577/1548917 , -158833660/1548917 ), ( -1445708903/25298695 , -146765468458/25298695 )
**u= 137/147 , ht= 142477 ; ( 142477/31621 , 105874282/221347 ), ( 491713/109271 , 365427234/764897 )
**u= 137/152 , ht= 443451 ; ( 175379/443451 , -16751945/147817 ), ( -1100847/1652911 , 209287092/1652911 )
**u= 137/155 , ht= 1041287 ; ( -1387471/3052969 , -356879282/3052969 ), ( 1041287/467787 , -121483600/467787 )
**u= 137/156 , ht= 964753 ; ( -724493/964753 , 128809575/964753 ), ( 2960779/3230399 , -467829985/3230399 )
**u= 137/158 , ht= 225087 ; ( -225087/184528 , 62545085/369056 ), ( 2372579/4274741 , 525294710/4274741 )
**u= 137/161 , ht= 1795925 ; ( 401672357/375716535 , -19884431832/125238845 ), ( 1795925/104827 , 195121106/104827 )
**u= 137/163 , ht= 717257 ; ( -114593507/1923669 , 4169105054/641223 ), ( 29283/717257 , -78339240/717257 )
**u= 137/170 , ht= 1460386 ; ( -1460386/581129 , 350342713/1162258 ), ( 17604711/7352929 , -2126335242/7352929 )
**u= 137/173 , ht= 108650001 ; ( -108650001/19668943 , 12413818534/19668943 ), ( -1184310907/189732251 ,
-134851221634/189732251 )
**u= 137/179 , ht= 15180575 ; ( 15180575/11375751 , -723145274/3791917 ), ( -114338193/7380733 , -13103395620/7380733 )
**u= 137/185 , ht= 98396597 ; ( 123135249/2208001 , -14318214950/2208001 ), ( 98396597/90205537 , 15519721952/90205537 )
**u= 137/186 , ht= 24640279 ; ( -24640279/515105 , 2873080838/515105 ), ( -30303671/5973490 , -7201479517/11946980 )
**u= 137/189 , ht= 193463 ; ( -59398193/6382795 , 21060546884/19148385 ), ( -193463/111947 , 78799460/335841 )
**u= 137/192 , ht= 213593 ; ( 34630021/1133893 , 4103810463/1133893 ), ( 213593/37031 , -25676178/37031 )
**u= 137/194 , ht= 5900915 ; ( -5900915/1255163 , -718258694/1255163 ), ( 18284137/4049775 , 2229650594/4049775 )
**u= 137/197 , ht= 4557391 ; ( 4557391/3442779 , 228415760/1147593 ), ( 6688607/1481503 , 821922010/1481503 )
**u= 137/199 , ht= 7821005 ; ( -7821005/4389237 , -120159094/487693 ), ( 382284513/10376995 , 46114241904/10376995 )
**u= 137/200 , ht= 5249 ; ( -1360471/3482057 , 2259595834/17410285 ), ( -5249/2276 , -2766449/9104 )
**u= 140/11 , ht= 39 ; ( -5/39 , 369/13 ), ( 101077/12791 , 2868445/12791 )
**u= 140/27 , ht= 581 ; ( -581/521 , -102857/1563 ), ( -1219/209 , 163127/627 )
**u= 140/39 , ht= 2141 ; ( -1823/2519 , -164215/2519 ), ( -277/2141 , -113965/2141 )
**u= 140/51 , ht= 1355 ; ( 233/1355 , -83039/1355 ), ( 3085/2983 , 259139/2983 )
**u= 140/83 , ht= 3577 ; ( -3577/573 , 487 ), ( -7449/8653 , 879555/8653 )
**u= 140/99 , ht= 67125 ; ( 94055/14019 , -24000727/42057 ), ( -67125/64369 , -23473567/193107 )
**u= 140/143 , ht= 1 ; ( -1 , -143 ), ( -836281447/836363241 , 119594095055/836363241 )
**u= 140/167 , ht= 4927 ; ( -4927/2087 , -584687/2087 ), ( -2087/4927 , 584687/4927 )
**u= 140/179 , ht= 2411 ; ( -271447/339659 , -49189375/339659 ), ( 2411/1695 , 333419/1695 )
**u= 143/5 , ht= 9 ; ( -9 , -166 ), ( 423/43 , -8112/43 )
**u= 143/15 , ht= 2969 ; ( -5563/1547 , -186738/1547 ), ( 2249/2969 , 120618/2969 )
**u= 143/29 , ht= 239 ; ( -109/239 , -11840/239 ), ( -6053/6707 , -407030/6707 )
**u= 143/30 , ht= 379 ; ( -524/841 , 90839/1682 ), ( -61/379 , 17582/379 )
**u= 143/31 , ht= 1905 ; ( 2113/2475 , -50536/825 ), ( -1905/1409 , 110394/1409 )
**u= 143/35 , ht= 12004791 ; ( -12004791/11994989 , -839992084/11994989 ), ( -12024811/12015009 , -841394056/12015009 )
**u= 143/60 , ht= 6431 ; ( -6397/32713 , 2160483/32713 ), ( -6431/289 , 417256/289 )
**u= 143/62 , ht= 56 ; ( 56/37 , -239/2 ), ( -703/1137 , 88060/1137 )
**u= 143/68 , ht= 2073 ; ( -13579/118299 , 2738750/39433 ), ( -2073/1769 , -188022/1769 )
**u= 143/71 , ht= 853 ; ( 143/853 , 60980/853 ), ( 32867/24205 , -2877694/24205 )
**u= 143/74 , ht= 11078 ; ( 9635/11078 , 2113391/22156 ), ( -12775/13199 , -1322042/13199 )
**u= 143/87 , ht= 17683 ; ( -22273/6437 , -1809180/6437 ), ( 17683/2371 , -1392394/2371 )
**u= 143/90 , ht= 4639 ; ( -4281/4639 , 1503118/13917 ), ( 11534/2229 , 5594857/13374 )
**u= 143/93 , ht= 2881 ; ( 649/2881 , -238290/2881 ), ( -30689/57847 , 5283334/57847 )
**u= 143/95 , ht= 4479 ; ( 2021/7479 , -23400/277 ), ( -4479/1021 , 374640/1021 )
**u= 143/102 , ht= 1027 ; ( 10978/931 , -1861819/1862 ), ( 1027/58 , -173845/116 )
**u= 143/107 , ht= 21673 ; ( 114041/58829 , -11105200/58829 ), ( 21673/15467 , -2304380/15467 )
**u= 143/111 , ht= 12785 ; ( 15383/4135 , -1404058/4135 ), ( -10747/12785 , 1472224/12785 )
**u= 143/122 , ht= 239 ; ( 239/66 , -15275/44 ), ( 4313/79 , 398654/79 )
**u= 143/129 , ht= 10823 ; ( 7985/10823 , -1278098/10823 ), ( -351233/119875 , -35267608/119875 )
**u= 143/131 , ht= 877 ; ( -2905/1811 , 327808/1811 ), ( -877/695 , 107156/695 )
**u= 143/140 , ht= 1073 ; ( -35961/41659 , -5448041/41659 ), ( -387/1073 , -112917/1073 )
**u= 143/153 , ht= 2087 ; ( 13493/21891 , -7983842/65673 ), ( -701/2087 , -227836/2087 )
**u= 143/158 , ht= 2944 ; ( -2944/811 , 642275/1622 ), ( 3817/6532 , -69185/568 )
**u= 143/188 , ht= 22947 ; ( -22947/15593 , 3182645/15593 ), ( -35657/1097 , -4092460/1097 )
**u= 143/194 , ht= 172449 ; ( -148975/172449 , 8852132/57483 ), ( -492616/52621 , -115466995/105242 )
**u= 144/13 , ht= 9505 ; ( 9505/6697 , -2095031/40182 ), ( 18977/13855 , -4241971/83130 )
**u= 144/49 , ht= 4499 ; ( -1577/4499 , -1669699/26994 ), ( -773/4817 , -11956165/202314 )
**u= 144/65 , ht= 269 ; ( 269/9 , 108539/54 ), ( -1573179/110321 , -636121115/661926 )
**u= 144/77 , ht= 45667 ; ( 223585/64503 , 102141703/387018 ), ( -7155/45667 , 20289199/274002 )
**u= 144/97 , ht= 86917 ; ( 891647/1267037 , -763351105/7602222 ), ( 84007/86917 , -59555665/521502 )
**u= 144/109 , ht= 367607 ; ( 2040121/142649 , 1068062165/855894 ), ( 124319/367607 , -202667209/2205642 )
**u= 144/113 , ht= 34599 ; ( -172173/68065 , -98448913/408390 ), ( 13355/34599 , 19721281/207594 )
**u= 144/121 , ht= 11137 ; ( -300517/32369 , -1829494957/2136354 ), ( 4891/11137 , -73625173/735042 )
**u= 144/125 , ht= 35701 ; ( 35701/18531 , -112483177/555930 ), ( 56181/57931 , -45134537/347586 )
**u= 144/137 , ht= 348715 ; ( 348715/118281 , -215603459/709686 ), ( -672061/225015 , -414989879/1350090 )
**u= 144/149 , ht= 182881 ; ( -36447/182881 , -113871721/1097286 ), ( -182881/36447 , -113871721/218682 )
**u= 144/157 , ht= 8977 ; ( -8977/3583 , 6058435/21498 ), ( -3957563/220835 , -2484556403/1325010 )
**u= 144/161 , ht= 121151 ; ( -3835653/3158831 , 3154008037/18952986 ), ( -121151/7971 , -77067905/47826 )
**u= 144/169 , ht= 6739 ; ( 193/6739 , 56997407/525642 ), ( 6739/193 , 56997407/15054 )
**u= 144/181 , ht= 319559 ; ( 126283/355429 , -253862917/2132574 ), ( -111583/319559 , 227800141/1917354 )
**u= 144/185 , ht= 79 ; ( -140672991/160449491 , 145189952605/962696946 ), ( 79/69 , -3103/18 )
**u= 144/193 , ht= 649103 ; ( -649103/135635 , 460844047/813810 ), ( -1885099/818831 , 1428354515/4912986 )
**u= 144/197 , ht= 55557 ; ( -31517/55557 , 44848505/333342 ), ( -5610069/859411 , -3985023625/5156466 )
**u= 145/7 , ht= 925 ; ( 925/239 , 20804/239 ), ( 31895/31 , 708614/31 )
**u= 145/13 , ht= 557 ; ( -557/275 , 18574/275 ), ( -173/1491 , 44830/1491 )
**u= 145/42 , ht= 56789 ; ( 379765/337933 , -27371958/337933 ), ( -33875/56789 , 3560094/56789 )
**u= 145/67 , ht= 18715 ; ( 18715/9827 , 1437502/9827 ), ( -175581/200773 , 954690/10567 )
**u= 145/78 , ht= 120565 ; ( -120565/15688 , 17841903/31376 ), ( 1366847/395825 , 104428484/395825 )
**u= 145/88 , ht= 166871 ; ( -270493/44954 , 85482815/179816 ), ( -166871/56407 , -13730060/56407 )
**u= 145/93 , ht= 317845 ; ( -317845/200537 , -30112224/200537 ), ( -9966523/329135 , -799063296/329135 )
**u= 145/102 , ht= 71567 ; ( 87127/12106 , 14762065/24212 ), ( 71567/68065 , -8287828/68065 )
**u= 145/112 , ht= 244437 ; ( -154879/244437 , -16963565/162958 ), ( -1824033/291761 , 162434355/291761 )
**u= 145/118 , ht= 441349 ; ( 289483/441349 , -47639020/441349 ), ( 754879/10535 , 68141242/10535 )
**u= 145/122 , ht= 23626 ; ( -71855/3657 , -2200874/1219 ), ( 3153/23626 , 4374735/47252 )
**u= 145/127 , ht= 286129 ; ( 3495193/352705 , 328921498/352705 ), ( -286129/103507 , -28491320/103507 )
**u= 145/138 , ht= 66982 ; ( 66982/14335 , 13371323/28670 ), ( 2711159/455825 , -268344022/455825 )
**u= 145/147 , ht= 119039 ; ( -119039/41717 , -12706520/41717 ), ( -6702617/1594411 , -4858431360/11160877 )
**u= 145/153 , ht= 129597 ; ( -129597/67841 , -45100240/203523 ), ( 379171/405555 , -171177914/1216665 )
**u= 145/167 , ht= 696879 ; ( 1120549/654285 , 46440918/218095 ), ( -696879/89357 , -75439320/89357 )
**u= 145/177 , ht= 10664585 ; ( -10664585/1379203 , 1188661952/1379203 ), ( 47661377/27126191 , 6062080010/27126191 )
**u= 145/178 , ht= 208528 ; ( 208528/43255 , 47214853/86510 ), ( 447859/461565 , 71292452/461565 )
**u= 145/183 , ht= 656131 ; ( -802453/1771625 , 218603684/1771625 ), ( 656131/300745 , -81126608/300745 )
**u= 145/187 , ht= 114797 ; ( 114797/63185 , -14888272/63185 ), ( 646907/483469 , 91760630/483469 )
**u= 145/198 , ht= 342097 ; ( 336881/364007 , -57986210/364007 ), ( 342097/121151 , 42430300/121151 )
**u= 146/15 , ht= 308 ; ( 321149/38116 , 5173673/19058 ), ( 308/67 , -10130/67 )
**u= 146/59 , ht= 9578 ; ( -551/9578 , 305137/4789 ), ( 46586/249181 , -16120550/249181 )
**u= 146/63 , ht= 189831 ; ( -189831/71360 , 19990673/107040 ), ( 365048/115687 , 25170390/115687 )
**u= 146/91 , ht= 1351747 ; ( 1351747/26994 , -17797711/4499 ), ( 2464962/17681423 , -1410040050/17681423 )
**u= 146/107 , ht= 53882 ; ( 31825/53882 , -2680027/26941 ), ( -10247898/187 , -877783650/187 )
**u= 146/111 , ht= 1592708 ; ( 893698423/67661588 , -39091799955/33830794 ), ( -1592708/269021 , 140917342/269021 )
**u= 146/123 , ht= 1466654 ; ( 1348451/1466654 , 91480085/733327 ), ( 3054086/3587545 , -432660126/3587545 )
**u= 146/127 , ht= 12384 ; ( -11911303/60421620 , 957802443/10070270 ), ( 12384/2729 , -1183350/2729 )
**u= 146/143 , ht= 3218840 ; ( -11079455/1112784 , 183757131/185464 ), ( -3218840/1015221 , -334202998/1015221 )
**u= 146/155 , ht= 47198 ; ( -28163/47198 , 2832973/23599 ), ( 76775126/1186431 , 7915684322/1186431 )
**u= 146/171 , ht= 804811 ; ( 804811/80798 , -43789751/40399 ), ( -2213854/378891 , 729600950/1136673 )
**u= 148/13 , ht= 9391 ; ( 4139/9391 , 304975/9391 ), ( 57779/86041 , -3069425/86041 )
**u= 148/29 , ht= 60847 ; ( 60847/24645 , 968693/8215 ), ( 34989/74255 , -3633891/74255 )
**u= 148/33 , ht= 84199 ; ( -84199/63377 , -4978103/63377 ), ( 140941/153613 , -9848631/153613 )
**u= 148/45 , ht= 80121 ; ( 80121/5861 , 13292383/17583 ), ( -85309/1809 , -14126135/5427 )
**u= 148/57 , ht= 10801 ; ( -10801/5273 , 746211/5273 ), ( 53401/4343 , 3327183/4343 )
**u= 148/69 , ht= 1571779 ; ( 1830965/479807 , -129291293/479807 ), ( -1571779/238505 , 108615829/238505 )
**u= 148/73 , ht= 21351 ; ( 21351/11569 , -1706245/11569 ), ( -4673923/191381 , 328728503/191381 )
**u= 148/85 , ht= 528821 ; ( 1407669/129439 , 107174677/129439 ), ( 343351/528821 , 47805023/528821 )
**u= 148/93 , ht= 256211 ; ( 160607/256211 , 23983061/256211 ), ( -270421/101641 , -22913075/101641 )
**u= 148/105 , ht= 337333 ; ( -3955121/1005289 , -343887037/1005289 ), ( 337333/187603 , -32528833/187603 )
**u= 148/121 , ht= 625 ; ( -637/1565 , 1681457/17215 ), ( 383/625 , -66311/625 )
**u= 148/141 , ht= 8635 ; ( 208319/541549 , 56664125/541549 ), ( -8635/3209 , -899619/3209 )
**u= 148/145 , ht= 34127 ; ( -28153/34127 , -4381217/34127 ), ( -4908791/2582199 , 549285139/2582199 )
**u= 148/177 , ht= 515131 ; ( 356893/515131 , 68568387/515131 ), ( 2210531/756299 , 255630635/756299 )
**u= 149/2 , ht= 525 ; ( -2546/2259 , -25865/1506 ), ( -293/525 , -6442/525 )
**u= 149/6 , ht= 1484 ; ( 77191/29404 , 3278435/58808 ), ( 1484/1307 , 79559/2614 )
**u= 149/8 , ht= 15343 ; ( 1910/15343 , -1445759/61372 ), ( 63697/80482 , 9498895/321928 )
**u= 149/11 , ht= 48157 ; ( 196237/118929 , -2074856/39643 ), ( 48157/21 , 1315106/21 )
**u= 149/12 , ht= 2279 ; ( -7240399/921029 , 206460815/921029 ), ( 2279/299 , -65505/299 )
**u= 149/14 , ht= 4173 ; ( -6285697/965666 , 389010923/1931332 ), ( -701/4173 , 129424/4173 )
**u= 149/15 , ht= 70487 ; ( 70487/7457 , 2244638/7457 ), ( 76589/25049 , 2563096/25049 )
**u= 149/18 , ht= 56009 ; ( -399005/79563 , 42377878/238689 ), ( -56009/17071 , 2039030/17071 )
**u= 149/20 , ht= 29739 ; ( 359659/125909 , -13952840/125909 ), ( 8491/29739 , 1132324/29739 )
**u= 149/23 , ht= 402893 ; ( -451763/642715 , -30891938/642715 ), ( 107297/402893 , 16374260/402893 )
**u= 149/29 , ht= 78449 ; ( 78449/14177 , -3516578/14177 ), ( -64017/107779 , 5531412/107779 )
**u= 149/33 , ht= 917 ; ( -23315855/38925643 , -2136957804/38925643 ), ( 917/565 , 50726/565 )
**u= 149/34 , ht= 690903 ; ( -4345834/728829 , -140336735/485886 ), ( 690903/418087 , -38603940/418087 )
**u= 149/35 , ht= 18727 ; ( -18727/3743 , -925658/3743 ), ( -368617/65313 , -18160598/65313 )
**u= 149/36 , ht= 8261373 ; ( 8261373/1359613 , -1234740580/4078839 ), ( -13074227/1452833 , 647198205/1452833 )
**u= 149/48 , ht= 12181 ; ( -12181/1799 , 1398115/3598 ), ( -435757/174467 , 26659375/174467 )
**u= 149/51 , ht= 395633 ; ( -395633/30727 , -23222870/30727 ), ( 2957177/700699 , -177922444/700699 )
**u= 149/52 , ht= 91837 ; ( 42335/323421 , -6427583/107807 ), ( 85623/91837 , 7421145/91837 )
**u= 149/61 , ht= 2300887 ; ( -2300887/149661 , 49194376/49887 ), ( -42121671/3225143 , -2704753458/3225143 )
**u= 149/62 , ht= 418 ; ( -233/418 , -61775/836 ), ( 418/233 , -61775/466 )
**u= 149/68 , ht= 554989 ; ( 23051097/7690135 , -1642265782/7690135 ), ( -33619/554989 , 37575640/554989 )
**u= 149/71 , ht= 554303 ; ( -22775703/3009793 , -1586492930/3009793 ), ( -554303/68509 , -38577904/68509 )
**u= 149/74 , ht= 1294431 ; ( -905783/1294431 , 37132602/431477 ), ( -6464271/1797572 , -946238967/3595144 )
**u= 149/75 , ht= 28247 ; ( 1346033/47867 , -95596496/47867 ), ( 5603/28247 , 43488/601 )
**u= 149/78 , ht= 195083 ; ( -195083/161725 , 18343118/161725 ), ( 2826170/63371 , 409306057/126742 )
**u= 149/81 , ht= 317623 ; ( 812207/278129 , 189977866/834387 ), ( 317623/66199 , -23935666/66199 )
**u= 149/84 , ht= 903559 ; ( -2419519/1944127 , -233159332/1944127 ), ( -903559/4439 , -67882750/4439 )
**u= 149/86 , ht= 379981 ; ( -3482833/4695079 , 444354722/4695079 ), ( 310837/379981 , -37314694/379981 )
**u= 149/87 , ht= 114587 ; ( -192593/240203 , 23538060/240203 ), ( 114587/40115 , 9282142/40115 )
**u= 149/89 , ht= 859927 ; ( -766281/859927 , 89064038/859927 ), ( -39558601/1832629 , 3062355740/1832629 )
**u= 149/95 , ht= 253129 ; ( 1189987/1702987 , -165976790/1702987 ), ( 253129/25851 , 20328568/25851 )
**u= 149/96 , ht= 11732 ; ( 9161/11732 , 9563243/93856 ), ( -11732/9161 , -9563243/73288 )
**u= 149/97 , ht= 7012561 ; ( -7012561/2787435 , -67682988/309715 ), ( 11560023/3237035 , -969131052/3237035 )
**u= 149/99 , ht= 2099431 ; ( 2099431/1211489 , -197671850/1211489 ), ( 22311189/1007533 , 5464523638/3022599 )
**u= 149/104 , ht= 2405491 ; ( -2405491/872147 , 213867878/872147 ), ( -31508801/10106279 , -2766012415/10106279 )
**u= 149/107 , ht= 217199 ; ( -117069/217199 , 20920240/217199 ), ( -1689017/310385 , 145606738/310385 )
**u= 149/110 , ht= 691 ; ( -691/306 , -43309/204 ), ( 482269/218731 , -45524270/218731 )
**u= 149/115 , ht= 2909619 ; ( -1432091/2909619 , 95017546/969873 ), ( -2003049/11050049 , 987053070/11050049 )
**u= 149/120 , ht= 291089 ; ( -291089/233806 , 134090887/935224 ), ( -616382/422243 , -268337685/1688972 )
**u= 149/123 , ht= 1440839 ; ( 1440839/312355 , -134013964/312355 ), ( 1958885/403837 , -181818538/403837 )
**u= 149/126 , ht= 513258 ; ( -117841/513258 , -290713291/3079548 ), ( 1263158/120079 , -233488377/240158 )
**u= 149/131 , ht= 284369 ; ( 150749/284369 , 30194540/284369 ), ( -2740393/3051903 , 384787490/3051903 )
**u= 149/132 , ht= 279317 ; ( -1342085/918943 , -153169373/918943 ), ( 279317/225605 , 33811662/225605 )
**u= 149/137 , ht= 8230661 ; ( 9645607/3303 , 308446390/1101 ), ( -8230661/470209 , 790932100/470209 )
**u= 149/138 , ht= 39716 ; ( 39716/15911 , 8238945/31822 ), ( -15088661/596741 , -1454005780/596741 )
**u= 149/155 , ht= 8598209 ; ( 8598209/4996779 , 338263464/1665593 ), ( 69579291/3968209 , 7111887120/3968209 )
**u= 149/156 , ht= 654253 ; ( -2930053/1660091 , -344753712/1660091 ), ( 100609/654253 , -67763787/654253 )
**u= 149/158 , ht= 679123 ; ( -117300253/218116762 , 51031621315/436233524 ), ( 679123/129125 , 71223194/129125 )
**u= 149/161 , ht= 1128221 ; ( -915797567/34148479 , -95307873178/34148479 ), ( -1128221/144967 , -118303028/144967 )
**u= 149/164 , ht= 33649 ; ( 63616481/4187187 , 2230611961/1395729 ), ( -33649/2923 , 3545351/2923 )
**u= 149/168 , ht= 193693 ; ( 100565/193693 , 23185961/193693 ), ( -18566447/509905 , 1973238544/509905 )
**u= 149/170 , ht= 116757 ; ( -116757/82483 , 15277058/82483 ), ( -2286017/516348 , 500922433/1032696 )
**u= 149/171 , ht= 112777 ; ( 9279/112777 , -36386218/338331 ), ( -7012969/944193 , -2275380226/2832579 )
**u= 149/173 , ht= 1408987 ; ( -1408987/129675 , 50845946/43225 ), ( -18095097/5331157 , 2033712240/5331157 )
**u= 149/179 , ht= 136003 ; ( -136003/94907 , -18186410/94907 ), ( -33536873/9084101 , -3810256472/9084101 )
**u= 149/183 , ht= 215201 ; ( 215201/6215 , -23870834/6215 ), ( 13706429/3492101 , -1568328170/3492101 )
**u= 149/186 , ht= 1604224831 ; ( -3689188243/145133309 , -412705314588/145133309 ), ( -1604224831/58581224 ,
-358898726195/117162448 )
**u= 149/188 , ht= 140531 ; ( 59315/140531 , 17142728/140531 ), ( 20765885/4484803 , -2387584508/4484803 )
**u= 149/191 , ht= 16351 ; ( 16351/6037 , 1974376/6037 ), ( -6559461/7713587 , 1146981558/7713587 )
**u= 149/192 , ht= 166595 ; ( 558149/407735 , 314011577/1630940 ), ( -49343/166595 , 78931563/666380 )
**u= 149/194 , ht= 39751 ; ( 559698/968359 , -255377903/1936718 ), ( -2153/39751 , 4544672/39751 )
**u= 149/195 , ht= 5693327 ; ( 2376297367/477266077 , -277410878128/477266077 ), ( 2901317/5693327 , -731367664/5693327
)
**u= 149/196 , ht= 635961 ; ( -429353/635961 , 205452498/1483909 ), ( -3113643/2747269 , 3335399442/19230883 )
**u= 149/198 , ht= 707864 ; ( -67845/707864 , -492095347/4247184 ), ( -36568780/1413021 , 25324933699/8478126 )
**u= 154/23 , ht= 1429 ; ( -9685/3126 , -65523/521 ), ( -1170/1429 , -71394/1429 )
**u= 154/45 , ht= 1399 ; ( 1399/346 , -38961/173 ), ( 1838/573 , 312446/1719 )
**u= 154/135 , ht= 101 ; ( -87683/2038 , -4107827/1019 ), ( -14/101 , -28654/303 )
**u= 154/167 , ht= 438 ; ( -397/438 , -10265/73 ), ( 394278/381085 , -57130518/381085 )
**u= 154/185 , ht= 2844 ; ( 36137/432 , -660491/72 ), ( 2844/809 , 324246/809 )
**u= 157/4 , ht= 2867 ; ( 3687/11077 , -192095/11077 ), ( 265/2867 , -44207/2867 )
**u= 157/6 , ht= 64429 ; ( -64429/17816 , 2576245/35632 ), ( 15419/139555 , -2699926/139555 )
**u= 157/10 , ht= 75483 ; ( 75483/12707 , 1921514/12707 ), ( -202309/6816 , -10285135/13632 )
**u= 157/11 , ht= 7443 ; ( 3205/7443 , 71786/2481 ), ( -1722357/304415 , -46540608/304415 )
**u= 157/13 , ht= 41059 ; ( -69181/176623 , 5475676/176623 ), ( 41059/5907 , -1198418/5907 )
**u= 157/16 , ht= 14587 ; ( 14587/8085 , -177333/2695 ), ( 172815/55969 , 5813163/55969 )
**u= 157/18 , ht= 40634 ; ( 486739/17891 , 16469040/17891 ), ( 39277/40634 , 3828773/81268 )
**u= 157/21 , ht= 77135 ; ( -1725895/606659 , -66867484/606659 ), ( 60671/77135 , 3589754/77135 )
**u= 157/22 , ht= 1490967 ; ( -1490967/322801 , 57067694/322801 ), ( 2073169/206007 , -78124594/206007 )
**u= 157/24 , ht= 21613 ; ( 83785/14687 , 3324101/14687 ), ( 5723/21613 , 873775/21613 )
**u= 157/33 , ht= 1431227 ; ( 1431227/799079 , 75166468/799079 ), ( -2084651/916897 , -104502328/916897 )
**u= 157/34 , ht= 7158897 ; ( 5779007/7158897 , -142803640/2386299 ), ( -190238571/152677949 , -11358470310/152677949 )
**u= 157/36 , ht= 4161 ; ( -8269/4125 , -1327774/12375 ), ( 4161/485 , 602377/1455 )
**u= 157/38 , ht= 44617 ; ( 126883/82611 , 2483744/27537 ), ( 12744/44617 , -4566279/89234 )
**u= 157/47 , ht= 331881 ; ( -811799/447519 , 16912210/149173 ), ( -331881/32651 , 18260340/32651 )
**u= 157/49 , ht= 26973 ; ( -12962035/7494001 , -5857344064/52458007 ), ( 24575/26973 , -2039488/26973 )
**u= 157/51 , ht= 291325 ; ( -390119/579901 , -39857820/579901 ), ( -291325/149927 , 18685716/149927 )
**u= 157/52 , ht= 2019 ; ( 7387587/1137239 , -430291679/1137239 ), ( 2019/797 , -125004/797 )
**u= 157/54 , ht= 295556 ; ( -206239/295556 , -42297045/591112 ), ( -387269/248989 , -81051950/746967 )
**u= 157/57 , ht= 224831 ; ( -360947/225811 , -25664666/225811 ), ( 74693/224831 , -14280012/224831 )
**u= 157/64 , ht= 82439 ; ( 230697/42455 , -14982022/42455 ), ( -82439/6359 , -10565075/12718 )
**u= 157/65 , ht= 26529 ; ( 10721/26529 , 614070/8843 ), ( -46609899/20033899 , 3266315910/20033899 )
**u= 157/70 , ht= 72817 ; ( 1477577/76472 , -197661889/152944 ), ( 72817/9503 , 4906468/9503 )
**u= 157/73 , ht= 532507 ; ( -1019753/2407159 , -178365518/2407159 ), ( 532507/35231 , 36412636/35231 )
**u= 157/75 , ht= 53551 ; ( 248297/307919 , -136768862/1539595 ), ( -53551/33677 , 21873528/168385 )
**u= 157/81 , ht= 173659 ; ( 1067683/860643 , -886947590/7745787 ), ( 155739/173659 , -150867430/1562931 )
**u= 157/85 , ht= 500867 ; ( 889059/5427379 , -404903894/5427379 ), ( 207617/500867 , -39912040/500867 )
**u= 157/88 , ht= 73121 ; ( -151337/2047 , 11335975/2047 ), ( -73121/4033 , -5485858/4033 )
**u= 157/97 , ht= 503007 ; ( 27206803/22740243 , -929503890/7580081 ), ( -503007/77441 , 40025898/77441 )
**u= 157/100 , ht= 281993 ; ( 71475/281993 , -116150111/1409965 ), ( -3244339/427789 , -261313712/427789 )
**u= 157/106 , ht= 8941 ; ( -1231259608/14487993 , 22493836715/3219554 ), ( -8411/8941 , -1009150/8941 )
**u= 157/109 , ht= 9758449 ; ( 73799693/5603 , -6151945990/5603 ), ( 9758449/1684819 , 825583040/1684819 )
**u= 157/111 , ht= 5035735 ; ( 5178137/605455 , -438560734/605455 ), ( 5035735/2404591 , -469468462/2404591 )
**u= 157/112 , ht= 315159 ; ( -315159/138521 , 29090105/138521 ), ( 138521/315159 , 29090105/315159 )
**u= 157/114 , ht= 261145 ; ( 1995830/2138843 , -498811963/4277686 ), ( 261145/161338 , 52341449/322676 )
**u= 157/118 , ht= 744319 ; ( 6005561/613472 , 1047193957/1226944 ), ( -744319/601657 , 821938/5957 )
**u= 157/120 , ht= 1747259 ; ( 1747259/752669 , -166404417/752669 ), ( 5305459/187381 , 464376269/187381 )
**u= 157/123 , ht= 778069 ; ( 21945361/712363 , 1944345996/712363 ), ( -594857/778069 , 86732164/778069 )
**u= 157/124 , ht= 3009173 ; ( -3009173/754667 , 275838620/754667 ), ( -3348735/1828991 , -339278796/1828991 )
**u= 157/129 , ht= 43483309 ; ( 43589987/3394877 , 3965026430/3394877 ), ( -43483309/3175475 , -3954171662/3175475 )
**u= 157/132 , ht= 509431 ; ( -509431/486553 , -64625718/486553 ), ( 936799/1969633 , -200084384/1969633 )
**u= 157/144 , ht= 90733 ; ( -90733/55785 , 61232993/334710 ), ( 98095/227281 , 23719004/227281 )
**u= 157/154 , ht= 1116515 ; ( -1199888/2690075 , 583755179/5380150 ), ( 1116515/1006636 , 297923963/2013272 )
**u= 157/155 , ht= 974861 ; ( -14348987/1840983 , 479366464/613661 ), ( -401361/974861 , 104801880/974861 )
**u= 157/160 , ht= 241433 ; ( -10647763/11967027 , -539290103/3989009 ), ( -241433/137393 , 56114821/274786 )
**u= 157/162 , ht= 11893 ; ( -4874/11893 , 2612559/23786 ), ( 3366493/185834 , 2056006517/1115004 )
**u= 157/171 , ht= 358075 ; ( -122219/788451 , -249934370/2365353 ), ( -286291/358075 , 47869534/358075 )
**u= 157/174 , ht= 150907 ; ( 3896863/3300130 , 1075707481/6600260 ), ( -150907/70595 , -17548114/70595 )
**u= 157/175 , ht= 1086567 ; ( -1086567/788509 , 709048636/3942545 ), ( 411029/1290467 , 715283774/6452335 )
**u= 157/189 , ht= 88409 ; ( -88409/28855 , -30626002/86565 ), ( -30376099/1045235 , -10009578574/3135705 )
**u= 157/192 , ht= 2053 ; ( -3135793/1665659 , -1571412749/6662636 ), ( 2053/763 , 242330/763 )
**u= 157/195 , ht= 6616643 ; ( -6616643/3756187 , -848356874/3756187 ), ( 31682603/8353583 , -3653471756/8353583 )
**u= 157/200 , ht= 258071 ; ( -4071731/981813 , -788272407/1636355 ), ( 113103/258071 , 159088431/1290355 )
**u= 160 , ht= 20 ; ( 20/7 , -13/28 ), ( 15/32 , 477/128 )
**u= 160/9 , ht= 24 ; ( 116/1655 , 158697/6620 ), ( 24/5 , -7031/60 )
**u= 160/21 , ht= 278 ; ( 65/278 , 41447/1112 ), ( 1550/851 , -256571/3404 )
**u= 160/109 , ht= 3002 ; ( 59/3002 , 991855/12008 ), ( 3002/59 , 991855/236 )
**u= 160/181 , ht= 10737 ; ( 14918/27045 , 4382369/36060 ), ( 10737/2954 , 4740135/11816 )
**u= 162/7 , ht= 4737 ; ( -4737/436 , -439307/1962 ), ( 6296/423 , 1196674/3807 )
**u= 162/23 , ht= 893 ; ( 8131/9028 , -2061397/40626 ), ( -464/893 , 341198/8037 )
**u= 162/55 , ht= 24509 ; ( 24509/11076 , 7054579/49842 ), ( -39404/22431 , -23791646/201879 )
**u= 162/67 , ht= 161227 ; ( 161227/46674 , -48592513/210033 ), ( -114134/182139 , -124462450/1639251 )
**u= 162/103 , ht= 35811 ; ( -487661/188328 , -187661533/847476 ), ( -22384/35811 , -30320890/322299 )
**u= 162/131 , ht= 126230 ; ( -1084751/1911230 , 889747141/8600535 ), ( 126230/14071 , 102848522/126639 )
**u= 162/199 , ht= 1163596 ; ( -3714875/176172 , 1855766983/792774 ), ( 1163596/227301 , 1183230670/2045709 )
**u= 169 , ht= 131 ; ( 131/83 , 746/83 ), ( 297/679 , 1014/679 )
**u= 169/3 , ht= 385 ; ( -145/809 , -11742/809 ), ( 385/157 , -5848/157 )
**u= 169/16 , ht= 3139 ; ( 1569/3139 , 216425/6278 ), ( 5867/709 , -182419/709 )
**u= 169/17 , ht= 1009 ; ( -29917/18765 , 373138/6255 ), ( 261/1009 , -33000/1009 )
**u= 169/25 , ht= 4349 ; ( -46583/16451 , -9496792/82255 ), ( 4349/2999 , 203368/2999 )
**u= 169/27 , ht= 1493 ; ( 71303/7985 , -8599558/23955 ), ( -653/1493 , -195370/4479 )
**u= 169/36 , ht= 5669 ; ( 5669/4789 , -342650/4789 ), ( -5711/3919 , -319900/3919 )
**u= 169/42 , ht= 8483 ; ( 29165/4091 , 1468326/4091 ), ( -1205/8483 , -427186/8483 )
**u= 169/48 , ht= 26591 ; ( -26591/15739 , 3294695/31478 ), ( 73435/49663 , -9454991/99326 )
**u= 169/61 , ht= 8209 ; ( -85101/1519 , -5115160/1519 ), ( 8209/6257 , 620458/6257 )
**u= 169/69 , ht= 3493 ; ( 3929/1913 , 279342/1913 ), ( -3493/3361 , 309892/3361 )
**u= 169/90 , ht= 91651 ; ( -134413/17507 , 9895828/17507 ), ( 91651/74651 , 8630630/74651 )
**u= 169/100 , ht= 1247 ; ( -941/1977 , -280861/3295 ), ( -1247/47 , 96046/47 )
**u= 169/108 , ht= 9635 ; ( -9635/7153 , -2879243/21459 ), ( 24095/563 , 5783341/1689 )
**u= 169/116 , ht= 112221 ; ( 64273/112221 , -1191103/12469 ), ( 218961/134027 , -21280383/134027 )
**u= 169/118 , ht= 37402 ; ( -34637/37402 , -8523515/74804 ), ( 265062/320345 , -69520257/640690 )
**u= 169/121 , ht= 28043 ; ( -28043/9467 , -2505590/9467 ), ( 9467/28043 , -2505590/28043 )
**u= 169/127 , ht= 11641 ; ( 1588825/111053 , 138130912/111053 ), ( 6561/11641 , -1158930/11641 )
**u= 169/139 , ht= 5191 ; ( 5191/1021 , 480020/1021 ), ( 1021/5191 , -480020/5191 )
**u= 169/157 , ht= 33797 ; ( -33797/4825 , 3292084/4825 ), ( 805199/1788019 , 189096520/1788019 )
**u= 169/160 , ht= 11101 ; ( 291/11101 , -1081078/11101 ), ( 11101/291 , -1081078/291 )
**u= 169/178 , ht= 17512 ; ( -17512/7675 , 3926411/15350 ), ( 117353/110055 , 16519564/110055 )
**u= 169/196 , ht= 13067 ; ( 3849/38693 , -29327717/270851 ), ( 523/13067 , -1409020/13067 )
**u= 169/198 , ht= 15341 ; ( -15341/590 , -3325087/1180 ), ( -23670/27623 , 1027679/7206 )
**u= 169/199 , ht= 520071 ; ( -12858047/569001 , -465769458/189667 ), ( 520071/131057 , -58228974/131057 )
**u= 170/3 , ht= 1283 ; ( 2881/1600 , -20951/800 ), ( -1124/1283 , 22430/1283 )
**u= 170/21 , ht= 1009 ; ( 281/1154 , -20913/577 ), ( -146/1009 , 35794/1009 )
**u= 170/49 , ht= 7428 ; ( 2087/7428 , 69091/1238 ), ( 31128/17659 , -13458450/123613 )
**u= 170/63 , ht= 29909 ; ( 79539/25142 , 7619905/37713 ), ( -11230/29909 , -1945558/29909 )
**u= 170/69 , ht= 40634 ; ( -6282883/3142678 , -223869953/1571339 ), ( 40634/9929 , 2666602/9929 )
**u= 170/81 , ht= 2908 ; ( -69983/21464 , -2527435/10732 ), ( -2908/701 , 619810/2103 )
**u= 170/83 , ht= 1436 ; ( 1137/1436 , -64025/718 ), ( -1227620/72841 , 85981282/72841 )
**u= 170/143 , ht= 47282 ; ( -586031/513530 , 35749909/256765 ), ( -47282/16119 , 4583990/16119 )
**u= 175/2 , ht= 24 ; ( 37/21 , -136/7 ), ( -24/7 , 615/14 )
**u= 175/6 , ht= 86 ; ( 389/803 , -16746/803 ), ( 53/86 , -3707/172 )
**u= 175/19 , ht= 6053 ; ( 94641/13967 , 3147386/13967 ), ( 6053/2481 , -215984/2481 )
**u= 175/31 , ht= 2633 ; ( -5827 , 245176 ), ( -1831/2633 , 135010/2633 )
**u= 175/43 , ht= 5501 ; ( 5501/4733 , -359878/4733 ), ( 4733/5501 , -359878/5501 )
**u= 175/57 , ht= 6613 ; ( -671953/48071 , -38457550/48071 ), ( 5929/6613 , -507132/6613 )
**u= 175/66 , ht= 9991 ; ( -36019/7772 , -4527349/15544 ), ( -2857/9991 , -638384/9991 )
**u= 175/69 , ht= 127913 ; ( 369629/22283 , 23259858/22283 ), ( -127913/87919 , -9751678/87919 )
**u= 175/76 , ht= 127 ; ( -101/127 , -10699/127 ), ( -9433/8009 , 815902/8009 )
**u= 175/88 , ht= 1413 ; ( 1413/379 , 103784/379 ), ( 21651/17482 , 7897455/69928 )
**u= 175/94 , ht= 3904 ; ( -3904/473 , -13411/22 ), ( -473/3904 , 576673/7808 )
**u= 175/123 , ht= 92393 ; ( -1579/92393 , 7751308/92393 ), ( -5349371/157093 , -448913218/157093 )
**u= 175/128 , ht= 7596 ; ( -33619/14373 , 4171231/19164 ), ( 7596/5557 , 12885333/88912 )
**u= 175/137 , ht= 53679 ; ( 340441/140703 , 10869518/46901 ), ( 53679/15593 , 4948446/15593 )
**u= 175/142 , ht= 210997 ; ( -125344/314643 , 20350077/209762 ), ( -210997/39491 , -19346854/39491 )
**u= 175/159 , ht= 455167 ; ( -4731737/2181901 , 496904784/2181901 ), ( 455167/55759 , 43733534/55759 )
**u= 175/162 , ht= 189 ; ( 189/83 , -178832/747 ), ( -64469/77267 , 9686830/77267 )
**u= 175/163 , ht= 230723 ; ( -15081/230723 , 22326512/230723 ), ( 3096943/2449181 , 381251356/2449181 )
**u= 175/177 , ht= 12581 ; ( 12581/1843 , 1279382/1843 ), ( 89143/13151 , -9066870/13151 )
**u= 175/181 , ht= 114419 ; ( 149553/20681 , -15361582/20681 ), ( -114419/58617 , 13081240/58617 )
**u= 175/183 , ht= 31351 ; ( -31351/20743 , 3846050/20743 ), ( -104777/63461 , -12532960/63461 )
**u= 175/193 , ht= 8701 ; ( -81643/14471 , -8711728/14471 ), ( -8701/7543 , 63680/397 )
**u= 176/3 , ht= 25 ; ( 19/25 , -839/50 ), ( -809/445 , -25207/890 )
**u= 176/71 , ht= 72843 ; ( 401229/271157 , 61542689/542314 ), ( 24989/72843 , -9786217/145686 )
**u= 176/75 , ht= 3155 ; ( 1721/3155 , 2347391/31550 ), ( -6487/3715 , 4882689/37150 )
**u= 176/111 , ht= 33259 ; ( 33259/7507 , 5417851/15014 ), ( -33389/17893 , -6019923/35786 )
**u= 176/135 , ht= 9319 ; ( 2569/9319 , -1694135/18638 ), ( 12433/3313 , 6764981/19878 )
**u= 176/155 , ht= 31331 ; ( 168087/76627 , 34688323/153254 ), ( 25089/31331 , 7537257/62662 )
**u= 176/159 , ht= 135683 ; ( -135683/20773 , -26105565/41546 ), ( 168607/66953 , -34504015/133906 )
**u= 176/179 , ht= 53309 ; ( 126703/48659 , 27388619/97318 ), ( 53309/32903 , 12641881/65806 )
**u= 178/31 , ht= 103192 ; ( 108829/58640 , -2579627/29320 ), ( -103192/31565 , -4508714/31565 )
**u= 178/63 , ht= 331936 ; ( -152723/331936 , -10875613/165968 ), ( 401676/101971 , -74013770/305913 )
**u= 178/75 , ht= 227938 ; ( 221467/1031566 , 171322857/2578915 ), ( 227938/851 , 74026722/4255 )
**u= 178/139 , ht= 256953 ; ( -256953/203438 , -14487935/101719 ), ( 509674/417595 , -58255834/417595 )
**u= 178/143 , ht= 3124344 ; ( 9551303/2098764 , -146153971/349794 ), ( 3124344/1097137 , -296959446/1097137 )
**u= 178/159 , ht= 752540 ; ( 672065/932192 , 54334329/466096 ), ( 752540/458867 , -83346526/458867 )
**u= 180 , ht= 21 ; ( -13/21 , 725/63 ), ( -21/13 , -725/39 )
**u= 180/29 , ht= 4337 ; ( -11773/11137 , -1952339/33411 ), ( 4337/3467 , 669079/10401 )
**u= 180/41 , ht= 28141 ; ( 57181/4373 , -8211175/13119 ), ( 28141/13627 , 4480295/40881 )
**u= 180/101 , ht= 9223 ; ( -9223/6533 , -2541097/19599 ), ( 19231/13171 , 5240801/39513 )
**u= 180/121 , ht= 83377 ; ( 55449/90961 , 26216509/272883 ), ( 83377/12783 , 228350363/421839 )
**u= 182 , ht= 6 ; ( 11/6 , 5 ), ( -6/5 , 66/5 )
**u= 182/11 , ht= 23 ; ( 23/10 , 307/5 ), ( 94/489 , -12170/489 )
**u= 182/29 , ht= 185 ; ( 4467/10120 , -221041/5060 ), ( -76/185 , 7982/185 )
**u= 182/81 , ht= 1510 ; ( -23419/3590 , 2371783/5385 ), ( 1510/669 , 992198/6021 )
**u= 182/123 , ht= 3218 ; ( 6277/1726 , -267709/863 ), ( -3218/2029 , 312906/2029 )
**u= 182/125 , ht= 12764 ; ( 22423/25548 , 469755/4258 ), ( 12764/199 , 5292598/995 )
**u= 182/145 , ht= 1691 ; ( 1691/774 , 27679/129 ), ( 31338/5963 , -32010/67 )
**u= 182/159 , ht= 2329 ; ( -2329/1216 , -122845/608 ), ( 8980/42953 , -4103458/42953 )
**u= 185/2 , ht= 32 ; ( 32/7 , -533/14 ), ( -7/32 , 533/64 )
**u= 185/3 , ht= 25111 ; ( -455339/34771 , 5243666/34771 ), ( -4031/25111 , -293346/25111 )
**u= 185/8 , ht= 7727 ; ( -162041/9247 , 3331705/9247 ), ( -7727/2332 , 679133/9328 )
**u= 185/12 , ht= 5717 ; ( -14551/19559 , -622242/19559 ), ( 4073/5717 , 178519/5717 )
**u= 185/17 , ht= 1067 ; ( -1067/667 , -38114/667 ), ( 67567/30643 , 2254504/30643 )
**u= 185/38 , ht= 3953 ; ( -10551/29342 , -2829085/58684 ), ( -1/3953 , 179140/3953 )
**u= 185/42 , ht= 2894 ; ( -2894/11 , 275789/22 ), ( -477521/4662586 , 446655081/9325172 )
**u= 185/43 , ht= 13961 ; ( 667547/6951 , 10728740/2317 ), ( 4701/13961 , -710304/13961 )
**u= 185/77 , ht= 102763 ; ( -1976867/694417 , 135229276/694417 ), ( -102763/28907 , 6891334/28907 )
**u= 185/92 , ht= 47533 ; ( 325459/80739 , 7885514/26913 ), ( -47533/46951 , 4713865/46951 )
**u= 185/93 , ht= 205823 ; ( -102131/205823 , 16300100/205823 ), ( -508319/657901 , 58975356/657901 )
**u= 185/97 , ht= 1235847 ; ( 224197/1235847 , -30333932/411949 ), ( 9905649/1249951 , -723383418/1249951 )
**u= 185/102 , ht= 138517 ; ( 138517/17086 , 20735225/34172 ), ( 17477894/944459 , -2600872009/1888918 )
**u= 185/117 , ht= 55931 ; ( -46547769/3520249 , -11141812066/10560747 ), ( -55931/18689 , 4692268/18689 )
**u= 185/138 , ht= 124813 ; ( -115997/124813 , 14723888/124813 ), ( 45851/1347122 , 232937605/2694244 )
**u= 185/147 , ht= 1248179 ; ( -1248179/34721 , 779499004/243047 ), ( 1498657/367171 , 963304120/2570197 )
**u= 185/152 , ht= 135219 ; ( -135219/17294 , -49449097/69176 ), ( 144698/121081 , -68443045/484324 )
**u= 185/153 , ht= 778117 ; ( -5302411/934821 , -1469613898/2804463 ), ( -778117/727573 , 96926622/727573 )
**u= 185/167 , ht= 95383 ; ( -555121/370393 , 63435910/370393 ), ( 95383/65323 , -10989524/65323 )
**u= 185/168 , ht= 308053 ; ( 308053/108427 , 31135958/108427 ), ( -1876051/200891 , -179894989/200891 )
**u= 185/178 , ht= 7828 ; ( -139360916/85261821 , 10688760721/56841214 ), ( -4899/7828 , 1812525/15656 )
**u= 187 , ht= 339 ; ( -339/319 , 3220/319 ), ( -3367/5665 , 19598/5665 )
**u= 187/4 , ht= 195 ; ( -195/49 , 2797/49 ), ( -965/1089 , 21151/1089 )
**u= 187/9 , ht= 8645 ; ( 33407/22347 , 2635640/67041 ), ( -8645/6547 , -238718/6547 )
**u= 187/15 , ht= 9643 ; ( -36887/11123 , -1088188/11123 ), ( -9643/3467 , 291238/3467 )
**u= 187/16 , ht= 32305 ; ( 83375/14609 , -2469226/14609 ), ( 32305/11727 , -1008416/11727 )
**u= 187/25 , ht= 5635 ; ( 2327/5635 , -1116224/28175 ), ( -10225/15961 , -3465082/79805 )
**u= 187/31 , ht= 649 ; ( 649/29 , -26440/29 ), ( -6917/83665 , 3416728/83665 )
**u= 187/42 , ht= 5767 ; ( -1733/11539 , -553526/11539 ), ( -5767/407 , -274260/407 )
**u= 187/48 , ht= 3353 ; ( -3353/169 , 170113/169 ), ( -35263/18431 , 2017326/18431 )
**u= 187/49 , ht= 4203 ; ( 12307/12805 , -6367226/89635 ), ( 2855/4203 , -1821296/29421 )
**u= 187/53 , ht= 304509 ; ( 108361/304509 , 5739960/101503 ), ( 406467/117193 , 22537920/117193 )
**u= 187/69 , ht= 20071 ; ( -384175/450587 , -35987456/450587 ), ( 11009/20071 , 1391110/20071 )
**u= 187/70 , ht= 13596 ; ( 13596/6221 , -1830265/12442 ), ( 22487/8992 , 2965331/17984 )
**u= 187/80 , ht= 237 ; ( -217/237 , 14019/158 ), ( 24273/97 , 1588647/97 )
**u= 187/91 , ht= 5793 ; ( -255641/114339 , -6514700/38113 ), ( -5793/1565 , -418848/1565 )
**u= 187/93 , ht= 108193 ; ( 108193/30569 , -7931898/30569 ), ( 293231/79517 , -21438468/79517 )
**u= 187/97 , ht= 1004561 ; ( 1055203/54671 , 76130756/54671 ), ( -1004561/580419 , 2259580/15687 )
**u= 187/103 , ht= 12881 ; ( 55749/49157 , -5518886/49157 ), ( -12881/303 , -956798/303 )
**u= 187/111 , ht= 133859 ; ( -141181/148751 , -15808420/148751 ), ( -107011/133859 , -13209910/133859 )
**u= 187/115 , ht= 2357 ; ( 2357/517 , -189314/517 ), ( -503887/779053 , 72793232/779053 )
**u= 187/133 , ht= 623197 ; ( 1542803/610207 , 139983700/610207 ), ( 623197/178711 , 54704896/178711 )
**u= 187/135 , ht= 71017 ; ( 363607/102857 , 96364030/308571 ), ( -71017/54857 , 7628502/54857 )
**u= 187/147 , ht= 3173 ; ( 596999/73043 , 373453064/511301 ), ( -1163/3173 , -2098370/22211 )
**u= 187/157 , ht= 11057 ; ( -7469/11057 , -1223248/11057 ), ( 362443/265103 , 41166500/265103 )
**u= 187/168 , ht= 264784 ; ( 1414337/222272 , -543061415/889088 ), ( 264784/193237 , -124342733/772948 )
**u= 187/180 , ht= 44077 ; ( -24003/44077 , -14779774/132231 ), ( 868667/316587 , 272268514/949761 )
**u= 194/65 , ht= 13807 ; ( 886251/160886 , 26076533/80443 ), ( -8098/13807 , -926882/13807 )
**u= 194/93 , ht= 33628 ; ( -3107/33628 , 1169825/16814 ), ( 559004/518425 , -52813222/518425 )
**u= 194/189 , ht= 2351336 ; ( -10325723/685844 , -1532863091/1028766 ), ( 2351336/103237 , 697288658/309711 )
**u= 198/23 , ht= 3044 ; ( 11213/8016 , -704599/12024 ), ( 3044/1503 , -347678/4509 )
**u= 198/67 , ht= 4358 ; ( -105317/15202 , -9287495/22803 ), ( -4358/4157 , -1051570/12471 )
**u= 198/71 , ht= 611 ; ( -17193/10000 , 1787273/15000 ), ( 540/611 , -146558/1833 )
**u= 198/73 , ht= 14479 ; ( -14479/7202 , -1473443/10803 ), ( 23318/31 , 4250486/93 )
**u= 198/101 , ht= 33204 ; ( -14055/55364 , -6122977/83046 ), ( 33204/985 , -7121794/2955 )
**u= 198/115 , ht= 58159 ; ( -58159/17534 , -6947135/26301 ), ( -296966/57671 , -69203806/173013 )
**u= 198/119 , ht= 44017 ; ( -44017/15840 , 5442389/23760 ), ( -688740/4813 , 160278442/14439 )
**u= 198/179 , ht= 127450 ; ( -202375/9234 , 28906631/13851 ), ( -127450/43857 , -38466578/131571 )
**u= 198/197 , ht= 737873 ; ( -737873/115944 , -111808907/173916 ), ( -1010544/276457 , 313672006/829371 )
**u= 198/199 , ht= 132095 ; ( -132095/97352 , -24688177/146028 ), ( 156092/39677 , 48463870/119031 )
**u= 200/9 , ht= 127 ; ( -127/46 , -5679/92 ), ( 347/294 , -58033/1764 )
**u= 200/29 , ht= 1948 ; ( 1948/701 , -157603/1402 ), ( 222844/32517 , -17179115/65034 )
**u= 200/69 , ht= 143 ; ( -34024/33527 , -5614147/67054 ), ( 64/143 , -18411/286 )
**u= 200/109 , ht= 67207 ; ( -67207/18576 , -1144385/4128 ), ( 82224/89527 , 17956377/179054 )
**u= 200/129 , ht= 215302 ; ( 274577/140374 , 49555963/280748 ), ( 215302/29671 , 34928941/59342 )
**u= 200/141 , ht= 10259 ; ( 114823/37696 , 20303897/75392 ), ( -10259/692 , 1727643/1384 )
**u= 200/181 , ht= 125297 ; ( -125297/23304 , -8086545/15536 ), ( 405216/119417 , -80418027/238834 )
1704
>
また、小さい整点から求めたuについても調べる。

■これらのuについて、(2),(3a),(3b)を満たす有理数解(x,y,t)を持たないものもあれば、有理数解(x,y,t)を持つものもある。
これらのuを順に調べれば良い。

ここからは、A^4+B^4=C^4+D^4と同様なので、最終的に得られた整点のみ記述する。
ここで、対応する整点が見つかった各有理数uについて、0 < A < B, 0 < C < D, 0 < A < Cを満たすように、
A,B,C,Dの符号を変更したり、A,B,C,Dを交換して、Dの小さい順に並び替えると、以下のようになる。


[参考文献]


Last Update: 2026.08.03
H.Nakao

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