Homeに戻る  一覧に戻る 

Integer Points on A^4+20003*B^4=C^4+20003*D^4


[2026.06.10]A^4+20003*B^4=C^4+20003*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=20003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、9個の整数解
    73^4+20003*7^4=93^4+20003*3^4
    73^4+20003*7^4=93^4+20003*3^4
    257^4+20003*64^4=739^4+20003*38^4
    1617^4+20003*342^4=4027^4+20003*172^4
    4945^4+20003*16394^4=89605^4+20003*16208^4
    8778^4+20003*5787^4=67582^4+20003*2981^4
    16163^4+20003*487^4=16207^4+20003*371^4
    19813^4+20003*1171^4=20857^4+20003*593^4
    29309^4+20003*4184^4=50537^4+20003*2038^4
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を求めると、
    u = 83, 415/29, 1385/6. 2158/17, 4097/24. 12035/289. 40006/221, 40006/257, 100015/548
となる。
{gp2cによる計算]
gp > ss(20003,100000)
1:73^4+20003*7^4=93^4+20003*3^4
2:203^4+20003*59^4=701^4+20003*19^4
3:257^4+20003*64^4=739^4+20003*38^4
4:1617^4+20003*342^4=4027^4+20003*172^4
5:4945^4+20003*16394^4=89605^4+20003*16208^4
6:8778^4+20003*5787^4=67582^4+20003*2981^4
7:16163^4+20003*487^4=16207^4+20003*371^4
8:19813^4+20003*1171^4=20857^4+20003*593^4
9:29309^4+20003*4184^4=50537^4+20003*2038^4
9solutions,
time = 18h, 34min, 33,901 ms.
%2 = 9
{Pari/GPによる計算]
gp > uu(20003,73,7,93,3)
[u - 83, 1; u, -1; 20*u + 6989, 1]
[u - 83, 1; u, -1; 20*u - 6989, 1]
[u, -1; u + 83, 1; 20*u + 6989, 1]
time = 1 ms.
%1 = [83, -6989/20]
gp > uu(20003,203,59,701,19)
[u, -1; 24*u + 4097, 1; 65*u - 9379, 1]
[u, -1; 24*u - 4097, 1; 65*u - 9379, 1]
[u, -1; 24*u + 4097, 1; 65*u + 9379, 1]
time = 1 ms.
%2 = [-4097/24, 9379/65]
gp > uu(20003,257,64,739,38)
[u, -1; 6*u + 1385, 1; 221*u - 40006, 1]
[u, -1; 6*u - 1385, 1; 221*u - 40006, 1]
[u, -1; 6*u + 1385, 1; 221*u + 40006, 1]
time = 1 ms.
%3 = [-1385/6, 40006/221]
gp > uu(20003,1617,342,4027,172)
[u, -1; 170*u + 36637, 1; 257*u - 40006, 1]
[u, -1; 170*u - 36637, 1; 257*u - 40006, 1]
[u, -1; 170*u + 36637, 1; 257*u + 40006, 1]
time = 1 ms.
%4 = [-36637/170, 40006/257]
gp > uu(20003,4945,16394,89605,16208)
[u, -1; 186*u + 247025, 1; 16301*u - 21517750, 1]
[u, -1; 186*u - 247025, 1; 16301*u - 21517750, 1]
[u, -1; 186*u + 247025, 1; 16301*u + 21517750, 1]
time = 1 ms.
%5 = [-247025/186, 21517750/16301]
gp > uu(20003,8778,5787,67582,2981)
[u, -1; 548*u - 100015, 1; 22448*u + 4237573, 1]
[u, -1; 548*u - 100015, 1; 22448*u - 4237573, 1]
[u, -1; 548*u + 100015, 1; 22448*u + 4237573, 1]
time = 1 ms.
%6 = [100015/548, -4237573/22448]
gp > uu(20003,16163,487,16207,371)
[u, -1; 29*u - 415, 1; 1716*u + 9032921, 1]
[u, -1; 29*u - 415, 1; 1716*u - 9032921, 1]
[u, -1; 29*u + 415, 1; 1716*u + 9032921, 1]
time = 1 ms.
%7 = [415/29, -9032921/1716]
gp > uu(20003,19813,1171,20857,593)
[u, -1; 289*u - 12035, 1; 1764*u + 1431781, 1]
[u, -1; 289*u - 12035, 1; 1764*u - 1431781, 1]
[u, -1; 289*u + 12035, 1; 1764*u + 1431781, 1]
time = 1 ms.
%8 = [12035/289, -1431781/1764]
gp > uu(20003,29309,4184,50537,2038)
[u, -1; 17*u - 2158, 1; 392718*u + 100382525, 1]
[u, -1; 17*u - 2158, 1; 392718*u - 100382525, 1]
[u, -1; 17*u + 2158, 1; 392718*u + 100382525, 1]
time = 1 ms.
%9 = [2158/17, -100382525/392718]

■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、以下のように883個のuが抽出される。
[pari/gpによる計算]
> PP(20003,1,200);
**u= 1/3 ; 180026*x^2 - 6*y^2 + 180028*z^2
; C3a (-41/49 : -1581/7 : 1)  C4a (679/271 : -126637/271 : 1)
**u= 1/35 ; 24503674*x^2 - 70*y^2 + 24503676*z^2
; C3a (13393/3187 : 8145259/3187 : 1)  C4a (-6907/6323 : -5540311/6323 : 1)
**u= 1/36 ; 25923887*x^2 - 72*y^2 + 25923889*z^2
; C3a (-337/561 : -107098/153 : 1)  C4a (561/337 : -1178078/1011 : 1)
**u= 1/49 ; 48027202*x^2 - 98*y^2 + 48027204*z^2
; C3a (2163/346 : 10734249/2422 : 1)  C4a (-346/2163 : -3578083/5047 : 1)
**u= 1/65 ; 84512674*x^2 - 130*y^2 + 84512676*z^2
; C3a (-77431/439904 : -360141169/439904 : 1)  C4a (66 : 53221 : 1)
**u= 1/81 ; 131239682*x^2 - 162*y^2 + 131239684*z^2
; C3a (1279/7998 : -65611843/71982 : 1)  C4a (1278/7999 : -65618563/71991 : 1)
**u= 1/105 ; 220533074*x^2 - 210*y^2 + 220533076*z^2
; C3a (99733/11008 : -102824245/11008 : 1)  C4a (887284/100939 : 915128549/100939 : 1)
**u= 1/120 ; 288043199*x^2 - 240*y^2 + 288043201*z^2
; C3a (122197/58432 : 593551869/233728 : 1)  C4a (-221096/12449 : -970401399/49796 : 1)
**u= 1/128 ; 327729151*x^2 - 256*y^2 + 327729153*z^2
; C3a (-67784/4749 : -1230121453/75984 : 1)  C4a (-10759/12736 : 301821433/203776 : 1)
**u= 1/144 ; 414782207*x^2 - 288*y^2 + 414782209*z^2
; C3a (-6313/19579 : -7053653/5594 : 1)  C4a (-27235/9377 : -69134907/18754 : 1)
**u= 1/152 ; 462149311*x^2 - 304*y^2 + 462149313*z^2
; C3a (-3943/2138 : -22121263/8552 : 1)  C4a (244234/47641 : 1227240049/190564 : 1)
**u= 1/179 ; 640916122*x^2 - 358*y^2 + 640916124*z^2
; C3a (6533/1521 : 8974993/1521 : 1)  C4a (493319/762893 : -1215579193/762893 : 1)
**u= 1/193 ; 745091746*x^2 - 386*y^2 + 745091748*z^2
; C3a (-205311/26786 : 287665947/26786 : 1)  C4a (-61874/9729 : 29006921/3243 : 1)
**u= 2/7 ; 980143*x^2 - 28*y^2 + 980151*z^2
; C3a (113/20 : 42941/40 : 1)  C4a (-885/9944 : 3735683/19888 : 1)
**u= 2/19 ; 7221079*x^2 - 76*y^2 + 7221087*z^2
; C3a (3794/1089 : 2433397/2178 : 1)  C4a (6510/463 : 4023473/926 : 1)
**u= 2/35 ; 24503671*x^2 - 140*y^2 + 24503679*z^2
; C3a (13038/5197 : 11743911/10394 : 1)  C4a (134749/33594 : -38732877/22396 : 1)
**u= 2/43 ; 36985543*x^2 - 172*y^2 + 36985551*z^2
; C3a (-95369/12250 : -12739267/3500 : 1)  C4a (-626/1013 : 1104401/2026 : 1)
**u= 2/63 ; 79391903*x^2 - 252*y^2 + 79391911*z^2
; C3a (-106168/27679 : -123166011/55358 : 1)  C4a (-97772/4239 : -329580421/25434 : 1)
**u= 2/67 ; 89793463*x^2 - 268*y^2 + 89793471*z^2
; C3a (96598/12781 : 112803257/25562 : 1)  C4a (169202/66491 : -210461731/132982 : 1)
**u= 2/163 ; 531459703*x^2 - 652*y^2 + 531459711*z^2
; C3a (105282/92405 : 252943713/184810 : 1)  C4a (-152930/250821 : 58938779/55738 : 1)
**u= 2/179 ; 640916119*x^2 - 716*y^2 + 640916127*z^2
; C3a (48639/18746 : 98635233/37492 : 1)  C4a (-2777609/418794 : -1771760831/279196 : 1)
**u= 2/187 ; 699484903*x^2 - 748*y^2 + 699484911*z^2
; C3a (-43966/19733 : -93204509/39466 : 1)  C4a (4690/1511 : 9529843/3022 : 1)
**u= 4/3 ; 180011*x^2 - 24*y^2 + 180043*z^2
; C3a (557/1013 : 200251/2026 : 1)  C4a (1837/1253 : 385181/2506 : 1)
**u= 4/7 ; 980131*x^2 - 56*y^2 + 980163*z^2
; C3a (9831/1859 : 2647311/3718 : 1)  C4a (2155/183 : -190753/122 : 1)
**u= 4/23 ; 10581571*x^2 - 184*y^2 + 10581603*z^2
; C3a (-22111/54219 : -82357/318 : 1)  C4a (3193/2557 : -1961959/5114 : 1)
**u= 4/27 ; 14582171*x^2 - 216*y^2 + 14582203*z^2
; C3a (112523/158987 : -303650969/953922 : 1)  C4a (254059/207211 : 511098233/1243266 : 1)
**u= 4/39 ; 30424547*x^2 - 312*y^2 + 30424579*z^2
; C3a (-1171/6785 : -4300197/13570 : 1)  C4a (34577/1739 : -21622249/3478 : 1)
**u= 4/71 ; 100835107*x^2 - 568*y^2 + 100835139*z^2
; C3a (-34103/63451 : 60702341/126902 : 1)  C4a (41235/49471 : -54270731/98942 : 1)
**u= 4/83 ; 137800651*x^2 - 664*y^2 + 137800683*z^2
; C3a (-25281/6425 : -23766039/12850 : 1)  C4a (-119003/170667 : -2340319/4214 : 1)
**u= 4/99 ; 196049387*x^2 - 792*y^2 + 196049419*z^2
; C3a (2859/2485 : 11307949/14910 : 1)  C4a (-729235/753301 : -1043272187/1506602 : 1)
**u= 4/123 ; 302625371*x^2 - 984*y^2 + 302625403*z^2
; C3a (152231/180521 : 261911593/361042 : 1)  C4a (255721/185119 : -350147093/370238 : 1)
**u= 4/135 ; 364554659*x^2 - 1080*y^2 + 364554691*z^2
; C3a (-1269179/170569 : 212574563/48734 : 1)  C4a (-1335509/383791 : -4843935355/2302746 : 1)
**u= 4/143 ; 409041331*x^2 - 1144*y^2 + 409041363*z^2
; C3a (261341/113479 : 340734427/226958 : 1)  C4a (-194795/163849 : -304410689/327698 : 1)
**u= 4/159 ; 505695827*x^2 - 1272*y^2 + 505695859*z^2
; C3a (3998941/446593 : 724885777/127598 : 1)  C4a (47845/13423 : -62664259/26846 : 1)
**u= 4/179 ; 640916107*x^2 - 1432*y^2 + 640916139*z^2
; C3a (-180841/92313 : -20897623/14202 : 1)  C4a (-11415755/953861 : -15327612703/1907722 : 1)
**u= 4/191 ; 729729427*x^2 - 1528*y^2 + 729729459*z^2
; C3a (71997/26921 : -106238229/53842 : 1)  C4a (-2101245/1398257 : -3488438017/2796514 : 1)
**u= 5/2 ; 79987*x^2 - 20*y^2 + 80037*z^2
; C3a (69/7 : 4386/7 : 1)  C4a (-133/564 : 24431/376 : 1)
**u= 5/33 ; 21783242*x^2 - 330*y^2 + 21783292*z^2
; C3a (-40147/7796 : -10507395/7796 : 1)  C4a (-716/7127 : 1840313/7127 : 1)
**u= 5/34 ; 23123443*x^2 - 340*y^2 + 23123493*z^2
; C3a (643/125559 : 4677812/17937 : 1)  C4a (-74753/101256 : -21881853/67504 : 1)
**u= 5/38 ; 28884307*x^2 - 380*y^2 + 28884357*z^2
; C3a (-5340627/34169 : -1472449176/34169 : 1)  C4a (59293/279 : 1816374/31 : 1)
**u= 5/49 ; 48027178*x^2 - 490*y^2 + 48027228*z^2
; C3a (653/256 : -1537099/1792 : 1)  C4a (-6626/5563 : -18960161/38941 : 1)
**u= 5/66 ; 87133043*x^2 - 660*y^2 + 87133093*z^2
; C3a (7386371/1615727 : 2747261294/1615727 : 1)  C4a (-1757/6361 : 2397786/6361 : 1)
**u= 5/81 ; 131239658*x^2 - 810*y^2 + 131239708*z^2
; C3a (-107443/216064 : -97130301/216064 : 1)  C4a (-85948/19699 : 106479161/59097 : 1)
**u= 5/94 ; 176746483*x^2 - 940*y^2 + 176746533*z^2
; C3a (861869/9383 : -373747640/9383 : 1)  C4a (-2574067/220271 : 1120251916/220271 : 1)
**u= 5/118 ; 278521747*x^2 - 1180*y^2 + 278521797*z^2
; C3a (-15409/2822 : 15221473/5644 : 1)  C4a (-7678/351809 : 341923457/703618 : 1)
**u= 5/162 ; 524958707*x^2 - 1620*y^2 + 524958757*z^2
; C3a (-19447/28091 : -8335232/12039 : 1)  C4a (1652329/458272 : 5856593645/2749632 : 1)
**u= 5/182 ; 662579347*x^2 - 1820*y^2 + 662579397*z^2
; C3a (-4122837/1326841 : -2613243630/1326841 : 1)  C4a (-3199786/841017 : -1330817619/560678 : 1)
**u= 9 ; 19922*x^2 - 18*y^2 + 20084*z^2
; C3a (81/68 : 10573/204 : 1)  C4a (90/59 : 10771/177 : 1)
**u= 9/4 ; 319967*x^2 - 72*y^2 + 320129*z^2
; C3a (-297/761 : 163408/2283 : 1)  C4a (-279/743 : 158728/2229 : 1)
**u= 9/16 ; 5120687*x^2 - 288*y^2 + 5120849*z^2
; C3a (-2813/3075 : 1667152/9225 : 1)  C4a (-255/143 : -116953/429 : 1)
**u= 9/25 ; 12501794*x^2 - 450*y^2 + 12501956*z^2
; C3a (-1927/1602 : 1253063/4806 : 1)  C4a (522/2447 : 1251119/7341 : 1)
**u= 9/35 ; 24503594*x^2 - 630*y^2 + 24503756*z^2
; C3a (-18079/33931 : 22747211/101793 : 1)  C4a (-5753/617 : 3423301/1851 : 1)
**u= 9/49 ; 48027122*x^2 - 882*y^2 + 48027284*z^2
; C3a (26059/206970 : 1022237371/4346370 : 1)  C4a (-1928/4509 : -24030913/94689 : 1)
**u= 9/52 ; 54088031*x^2 - 936*y^2 + 54088193*z^2
; C3a (61809/26735 : -48565522/80205 : 1)  C4a (-337075/129807 : -260488669/389421 : 1)
**u= 9/68 ; 92493791*x^2 - 1224*y^2 + 92493953*z^2
; C3a (153389/88381 : 145993048/265143 : 1)  C4a (-55/5453 : -4497223/16359 : 1)
**u= 9/91 ; 165644762*x^2 - 1638*y^2 + 165644924*z^2
; C3a (-298433/174039 : -329585239/522117 : 1)  C4a (-1293/3439 : -3505073/10317 : 1)
**u= 9/115 ; 264539594*x^2 - 2070*y^2 + 264539756*z^2
; C3a (17251/11409 : -22181081/34227 : 1)  C4a (34143/793 : -2817455/183 : 1)
**u= 9/152 ; 462149231*x^2 - 2736*y^2 + 462149393*z^2
; C3a (-374437/2390 : 1846723691/28680 : 1)  C4a (10927/9137 : -17562178/27411 : 1)
**u= 9/164 ; 538000607*x^2 - 2952*y^2 + 538000769*z^2
; C3a (-16319/31405 : -45327097/94215 : 1)  C4a (-31405/16319 : 45327097/48957 : 1)
**u= 9/172 ; 591768671*x^2 - 3096*y^2 + 591768833*z^2
; C3a (-1524267/305125 : -2038869224/915375 : 1)  C4a (292449/78481 : -397143616/235443 : 1)
**u= 9/187 ; 699484826*x^2 - 3366*y^2 + 699484988*z^2
; C3a (-1831671/517049 : -2602849489/1551147 : 1)  C4a (-5602755/447817 : -7686663319/1343451 : 1)
**u= 9/196 ; 768435167*x^2 - 3528*y^2 + 768435329*z^2
; C3a (253593/187835 : 441846593/563505 : 1)  C4a (-134187/95159 : -1612254779/1998339 : 1)
**u= 13/8 ; 1280023*x^2 - 208*y^2 + 1280361*z^2
; C3a (118/21 : 37609/84 : 1)  C4a (-10903/70519 : -5597762/70519 : 1)
**u= 13/12 ; 2880263*x^2 - 312*y^2 + 2880601*z^2
; C3a (-115657/7469 : 11135623/7469 : 1)  C4a (-82387/659 : -7916566/659 : 1)
**u= 13/15 ; 4500506*x^2 - 390*y^2 + 4500844*z^2
; C3a (-2677/863 : 302147/863 : 1)  C4a (2891/389 : 313371/389 : 1)
**u= 13/16 ; 5120599*x^2 - 416*y^2 + 5120937*z^2
; C3a (7329/1441 : -75336/131 : 1)  C4a (-55/1389 : 102817/926 : 1)
**u= 13/21 ; 8821154*x^2 - 546*y^2 + 8821492*z^2
; C3a (-65123/145570 : -20270311/145570 : 1)  C4a (-12520/16271 : 2609553/16271 : 1)
**u= 13/24 ; 11521559*x^2 - 624*y^2 + 11521897*z^2
; C3a (-120989/18184 : -66499717/72736 : 1)  C4a (34789/6739 : -4815157/6739 : 1)
**u= 13/29 ; 16822354*x^2 - 754*y^2 + 16822692*z^2
; C3a (-407/318 : -77149/318 : 1)  C4a (-18170/12747 : 1105101/4249 : 1)
**u= 13/44 ; 38725639*x^2 - 1144*y^2 + 38725977*z^2
; C3a (-4087/5175 : -1213258/5175 : 1)  C4a (-14879/18209 : 4326442/18209 : 1)
**u= 13/45 ; 40505906*x^2 - 1170*y^2 + 40506244*z^2
; C3a (34679/41614 : -10079149/41614 : 1)  C4a (42226/30261 : -28998203/90783 : 1)
**u= 13/68 ; 92493703*x^2 - 1768*y^2 + 92494041*z^2
; C3a (18863959/1028987 : -4321086427/1028987 : 1)  C4a (37391/37663 : -12138836/37663 : 1)
**u= 13/69 ; 95234114*x^2 - 1794*y^2 + 95234452*z^2
; C3a (486463/382618 : -142596541/382618 : 1)  C4a (600770/14201 : -138457141/14201 : 1)
**u= 13/77 ; 118597618*x^2 - 2002*y^2 + 118597956*z^2
; C3a (-1482149/178 : -360742919/178 : 1)  C4a (838/2539 : 650761/2539 : 1)
**u= 13/80 ; 128019031*x^2 - 2080*y^2 + 128019369*z^2
; C3a (-251/4049 : -2012875/8098 : 1)  C4a (33699/26509 : -10637021/26509 : 1)
**u= 13/87 ; 151402538*x^2 - 2262*y^2 + 151402876*z^2
; C3a (3397/5311 : 1631057/5311 : 1)  C4a (-208805/84791 : 58304987/84791 : 1)
**u= 13/96 ; 184347479*x^2 - 2496*y^2 + 184347817*z^2
; C3a (377957/554555 : 182384301/554555 : 1)  C4a (-9235/22283 : -13110513/44566 : 1)
**u= 13/101 ; 204050434*x^2 - 2626*y^2 + 204050772*z^2
; C3a (1541037/929078 : -501601287/929078 : 1)  C4a (-437312/368733 : 53150929/122911 : 1)
**u= 13/108 ; 233314823*x^2 - 2808*y^2 + 233315161*z^2
; C3a (-96931/116963 : -6255394/16709 : 1)  C4a (-606319/193757 : 550439827/581271 : 1)
**u= 13/111 ; 246456794*x^2 - 2886*y^2 + 246457132*z^2
; C3a (-7567477/327287 : 2213498013/327287 : 1)  C4a (14671/3571 : -4412459/3571 : 1)
**u= 13/125 ; 312546706*x^2 - 3250*y^2 + 312547044*z^2
; C3a (84443/22712 : -135586321/113560 : 1)  C4a (-284156/40459 : 445042033/202295 : 1)
**u= 13/133 ; 353832898*x^2 - 3458*y^2 + 353833236*z^2
; C3a (103359/201610 : 72472131/201610 : 1)  C4a (-59096/95937 : -12014427/31979 : 1)
**u= 13/141 ; 397679474*x^2 - 3666*y^2 + 397679812*z^2
; C3a (154507/207100 : 85101619/207100 : 1)  C4a (-35884/134491 : -45845501/134491 : 1)
**u= 13/164 ; 538000519*x^2 - 4264*y^2 + 538000857*z^2
; C3a (13873083/3717547 : -5101689744/3717547 : 1)  C4a (45505/118741 : 45168901/118741 : 1)
**u= 13/176 ; 619612759*x^2 - 4576*y^2 + 619613097*z^2
; C3a (172921/75219 : -138779537/150438 : 1)  C4a (59167/48497 : 28151083/48497 : 1)
**u= 13/197 ; 776296258*x^2 - 5122*y^2 + 776296596*z^2
; C3a (165839711/43932762 : 66789850781/43932762 : 1)  C4a (4509642/647851 : 1773666529/647851 : 1)
**u= 16/23 ; 10581331*x^2 - 736*y^2 + 10581843*z^2
; C3a (44101/7761 : 21476473/31044 : 1)  C4a (407/4547 : -2189521/18188 : 1)
**u= 16/59 ; 69630187*x^2 - 1888*y^2 + 69630699*z^2
; C3a (7447/4615 : 6729991/18460 : 1)  C4a (29093/28739 : 31413761/114956 : 1)
**u= 16/91 ; 165644587*x^2 - 2912*y^2 + 165645099*z^2
; C3a (-109713/167239 : 190816101/668956 : 1)  C4a (-425497/85689 : 138026219/114252 : 1)
**u= 16/131 ; 343271227*x^2 - 4192*y^2 + 343271739*z^2
; C3a (-109277/254379 : 316901869/1017516 : 1)  C4a (10579/48307 : 56604409/193228 : 1)
**u= 16/179 ; 640915867*x^2 - 5728*y^2 + 640916379*z^2
; C3a (4659/5 : 6233787/20 : 1)  C4a (-5331427/962571 : 2416277577/1283428 : 1)
**u= 16/191 ; 729729187*x^2 - 6112*y^2 + 729729699*z^2
; C3a (32256577/374475 : 44585816083/1497900 : 1)  C4a (-1123349/944417 : -2028409459/3777668 : 1)
**u= 17/6 ; 719819*x^2 - 204*y^2 + 720397*z^2
; C3a (-727/188 : 89213/376 : 1)  C4a (9187/6313 : 662326/6313 : 1)
**u= 17/14 ; 3920299*x^2 - 476*y^2 + 3920877*z^2
; C3a (20421/62935 : -6005022/62935 : 1)  C4a (1094/1251 : -100549/834 : 1)
**u= 17/18 ; 6480683*x^2 - 612*y^2 + 6481261*z^2
; C3a (153542/21751 : -31915879/43502 : 1)  C4a (1307/3391 : 373974/3391 : 1)
**u= 17/21 ; 8821034*x^2 - 714*y^2 + 8821612*z^2
; C3a (-841/7244 : -810607/7244 : 1)  C4a (237884/6941 : -26452997/6941 : 1)
**u= 17/69 ; 95233994*x^2 - 2346*y^2 + 95234572*z^2
; C3a (620611/67760 : -125783813/67760 : 1)  C4a (-46802/82573 : 269343/1163 : 1)
**u= 17/94 ; 176746219*x^2 - 3196*y^2 + 176746797*z^2
; C3a (8117139/1285454 : -3865300893/2570908 : 1)  C4a (-85985/28131 : 7091766/9377 : 1)
**u= 17/126 ; 317567339*x^2 - 4284*y^2 + 317567917*z^2
; C3a (1893811/567654 : 3229709633/3405924 : 1)  C4a (-417645/171503 : -368773876/514509 : 1)
**u= 17/133 ; 353832778*x^2 - 4522*y^2 + 353833356*z^2
; C3a (990169/9028 : -276988111/9028 : 1)  C4a (162082/243611 : 81849041/243611 : 1)
**u= 17/149 ; 444086314*x^2 - 5066*y^2 + 444086892*z^2
; C3a (68499/37954 : -3312273/5422 : 1)  C4a (-5722738/813933 : 570469949/271311 : 1)
**u= 17/162 ; 524958443*x^2 - 5508*y^2 + 524959021*z^2
; C3a (6703198/18708771 : 110435781607/336757878 : 1)  C4a (241019/54377 : -228833288/163131 : 1)
**u= 17/178 ; 633774763*x^2 - 6052*y^2 + 633775341*z^2
; C3a (-42929/104277 : 36492494/104277 : 1)  C4a (-9766667/679886 : -6336425437/1359772 : 1)
**u= 17/189 ; 714526874*x^2 - 6426*y^2 + 714527452*z^2
; C3a (-28603/20432 : -35164049/61296 : 1)  C4a (-2281532/25297 : -2282514851/75891 : 1)
**u= 18/31 ; 19222559*x^2 - 1116*y^2 + 19223207*z^2
; C3a (-37741/9100 : -30570997/54600 : 1)  C4a (5557/13648 : 11603897/81888 : 1)
**u= 18/59 ; 69630119*x^2 - 2124*y^2 + 69630767*z^2
; C3a (-154887/21818 : 169923779/130908 : 1)  C4a (47845/50382 : -75480403/302292 : 1)
**u= 18/83 ; 137800343*x^2 - 2988*y^2 + 137800991*z^2
; C3a (-4754782/154419 : -6129790399/926514 : 1)  C4a (-2229294/296977 : -2897838959/1781862 : 1)
**u= 18/91 ; 165644519*x^2 - 3276*y^2 + 165645167*z^2
; C3a (10079/4346 : -14808619/26076 : 1)  C4a (1236194/170311 : -1683597539/1021866 : 1)
**u= 18/103 ; 212211503*x^2 - 3708*y^2 + 212212151*z^2
; C3a (19672/197141 : -40625333/168978 : 1)  C4a (438655/48388 : 633455263/290328 : 1)
**u= 18/107 ; 229014023*x^2 - 3852*y^2 + 229014671*z^2
; C3a (177638/26661 : -262792027/159966 : 1)  C4a (-336190/180513 : -558255779/1083078 : 1)
**u= 18/127 ; 322628063*x^2 - 4572*y^2 + 322628711*z^2
; C3a (-186359/214072 : -452376199/1284432 : 1)  C4a (426548/30689 : -681614311/184134 : 1)
**u= 25/9 ; 1619618*x^2 - 450*y^2 + 1620868*z^2
; C3a (-1427/2664 : 544081/7992 : 1)  C4a (-4596/2555 : -4733437/38325 : 1)
**u= 25/27 ; 14581562*x^2 - 1350*y^2 + 14582812*z^2
; C3a (12893/4903 : 21503671/73545 : 1)  C4a (-12137/5077 : -20510161/76155 : 1)
**u= 25/41 ; 33624418*x^2 - 2050*y^2 + 33625668*z^2
; C3a (64151/178582 : 24302467/178582 : 1)  C4a (5078/10121 : -1450211/10121 : 1)
**u= 25/44 ; 38725183*x^2 - 2200*y^2 + 38726433*z^2
; C3a (-549/1957 : 269670/1957 : 1)  C4a (94715/44401 : 69393221/222005 : 1)
**u= 25/48 ; 46086287*x^2 - 2400*y^2 + 46087537*z^2
; C3a (8867/3917 : -6716421/19585 : 1)  C4a (11351/11669 : -22558741/116690 : 1)
**u= 25/51 ; 52027178*x^2 - 2550*y^2 + 52028428*z^2
; C3a (-14689/15265 : -15129963/76325 : 1)  C4a (-5549/4345 : 5033467/21725 : 1)
**u= 25/64 ; 81931663*x^2 - 3200*y^2 + 81932913*z^2
; C3a (15/12751 : -10201611/63755 : 1)  C4a (-14017/5835 : 16196459/38900 : 1)
**u= 25/83 ; 137800042*x^2 - 4150*y^2 + 137801292*z^2
; C3a (194111/273459 : -305540557/1367295 : 1)  C4a (169493/225767 : 257215259/1128835 : 1)
**u= 25/91 ; 165644218*x^2 - 4550*y^2 + 165645468*z^2
; C3a (219255/255317 : -321063369/1276585 : 1)  C4a (1517/5469 : -360965/1823 : 1)
**u= 25/104 ; 216351823*x^2 - 5200*y^2 + 216353073*z^2
; C3a (35/61 : 71726/305 : 1)  C4a (10567209/6181087 : -2497120045/6181087 : 1)
**u= 25/107 ; 229013722*x^2 - 5350*y^2 + 229014972*z^2
; C3a (2019/1591 : 2659179/7955 : 1)  C4a (29627/4161 : 2063303/1387 : 1)
**u= 25/113 ; 255417682*x^2 - 5650*y^2 + 255418932*z^2
; C3a (40967/21192 : -49033811/105960 : 1)  C4a (-5326/4957 : -1546985/4957 : 1)
**u= 25/116 ; 269159743*x^2 - 5800*y^2 + 269160993*z^2
; C3a (1934805/37567 : -2084395419/187835 : 1)  C4a (139065/134579 : -208444703/672895 : 1)
**u= 25/164 ; 538000063*x^2 - 8200*y^2 + 538001313*z^2
; C3a (-247289/167877 : -76558619/167877 : 1)  C4a (14889/17677 : 5919971/17677 : 1)
**u= 25/177 ; 626673362*x^2 - 8850*y^2 + 626674612*z^2
; C3a (580189/495406 : -1015074611/2477030 : 1)  C4a (457178/5597671 : 1494514101/5597671 : 1)
**u= 26/3 ; 179351*x^2 - 156*y^2 + 180703*z^2
; C3a (108263/29128 : -7604767/58256 : 1)  C4a (215432/57167 : -15168057/114334 : 1)
**u= 26/7 ; 979471*x^2 - 364*y^2 + 980823*z^2
; C3a (586/551 : 83477/1102 : 1)  C4a (-551/586 : -83477/1172 : 1)
**u= 26/19 ; 7220407*x^2 - 988*y^2 + 7221759*z^2
; C3a (-1696/25645 : 4394639/51290 : 1)  C4a (188723/67636 : -34279367/135272 : 1)
**u= 26/27 ; 14581511*x^2 - 1404*y^2 + 14582863*z^2
; C3a (3464/7765 : 5199223/46590 : 1)  C4a (15703/59392 : -37563917/356352 : 1)
**u= 26/31 ; 19222207*x^2 - 1612*y^2 + 19223559*z^2
; C3a (1446866/189903 : -318703321/379806 : 1)  C4a (36325/1402 : 7939501/2804 : 1)
**u= 26/55 ; 60508399*x^2 - 2860*y^2 + 60509751*z^2
; C3a (285554/73859 : 85803569/147718 : 1)  C4a (-70806/89101 : -33108013/178202 : 1)
**u= 26/67 ; 89792791*x^2 - 3484*y^2 + 89794143*z^2
; C3a (-11835561/53276 : 3800186457/106552 : 1)  C4a (510079/1157484 : 135376759/771656 : 1)
**u= 26/111 ; 246456287*x^2 - 5772*y^2 + 246457639*z^2
; C3a (-2064638/36185 : -853389689/72370 : 1)  C4a (3035699/291298 : -1260337853/582596 : 1)
**u= 26/115 ; 264538999*x^2 - 5980*y^2 + 264540351*z^2
; C3a (-2332367/1507828 : -1168287671/3015656 : 1)  C4a (2496129/916144 : 1118495707/1832288 : 1)
**u= 26/163 ; 531459031*x^2 - 8476*y^2 + 531460383*z^2
; C3a (404827/2708832 : -1371666467/5417664 : 1)  C4a (15087911/7966604 : 8544758291/15933208 : 1)
**u= 26/167 ; 557862991*x^2 - 8684*y^2 + 557864343*z^2
; C3a (1386642/138985 : 100918509/39710 : 1)  C4a (-117565/25554 : -20328973/17036 : 1)
**u= 26/199 ; 792138127*x^2 - 10348*y^2 + 792139479*z^2
; C3a (1865351/1706350 : -1398918511/3412700 : 1)  C4a (25985942/9588541 : -15327082667/19177082 : 1)
**u= 29/7 ; 979306*x^2 - 406*y^2 + 980988*z^2
; C3a (-249659/21059 : 12305113/21059 : 1)  C4a (-99695/3947 : -4904353/3947 : 1)
**u= 29/13 ; 3379666*x^2 - 754*y^2 + 3381348*z^2
; C3a (17/30 : -2309/30 : 1)  C4a (133840/56867 : -9737941/56867 : 1)
**u= 29/15 ; 4499834*x^2 - 870*y^2 + 4501516*z^2
; C3a (-1651799/1934011 : -182935799/1934011 : 1)  C4a (-253/223 : 24257/223 : 1)
**u= 29/28 ; 15681511*x^2 - 1624*y^2 + 15683193*z^2
; C3a (33001/1641 : 3246866/1641 : 1)  C4a (-267689/69799 : 27185456/69799 : 1)
**u= 29/37 ; 27383266*x^2 - 2146*y^2 + 27384948*z^2
; C3a (-430091/37854 : 48771247/37854 : 1)  C4a (-560650/16417 : 63360563/16417 : 1)
**u= 29/40 ; 32003959*x^2 - 2320*y^2 + 32005641*z^2
; C3a (-311707/30427 : 36784412/30427 : 1)  C4a (-7128657/2274473 : 878875271/2274473 : 1)
**u= 29/48 ; 46086071*x^2 - 2784*y^2 + 46087753*z^2
; C3a (404309/57209 : 105074783/114418 : 1)  C4a (43835/103889 : 29015489/207778 : 1)
**u= 29/55 ; 60508234*x^2 - 3190*y^2 + 60509916*z^2
; C3a (-153117/36127 : -21667041/36127 : 1)  C4a (-2282023/212733 : 11691037/7879 : 1)
**u= 29/63 ; 79391066*x^2 - 3654*y^2 + 79392748*z^2
; C3a (139813/28807 : 21041533/28807 : 1)  C4a (-56485/85321 : 15082767/85321 : 1)
**u= 29/71 ; 100834282*x^2 - 4118*y^2 + 100835964*z^2
; C3a (-386859/309935 : 77567937/309935 : 1)  C4a (42307/5529 : 117133/97 : 1)
**u= 29/72 ; 103694711*x^2 - 4176*y^2 + 103696393*z^2
; C3a (169236631/55687895 : -28074806364/55687895 : 1)  C4a (-5984853/18336523 : -9118392602/55009569 : 1)
**u= 29/103 ; 212210986*x^2 - 5974*y^2 + 212212668*z^2
; C3a (-1131631/234149 : -217800781/234149 : 1)  C4a (63465/169349 : 34085617/169349 : 1)
**u= 29/124 ; 307565287*x^2 - 7192*y^2 + 307566969*z^2
; C3a (-109807/309499 : -67912439/309499 : 1)  C4a (206169/725977 : 156066314/725977 : 1)
**u= 29/152 ; 462148471*x^2 - 8816*y^2 + 462150153*z^2
; C3a (454641/40841 : 104512647/40841 : 1)  C4a (277159/309561 : 31711094/103187 : 1)
**u= 29/165 ; 544580834*x^2 - 9570*y^2 + 544582516*z^2
; C3a (-353267/125728 : -89449069/125728 : 1)  C4a (1216942/1386397 : 440057383/1386397 : 1)
**u= 29/168 ; 564563831*x^2 - 9744*y^2 + 564565513*z^2
; C3a (593653/446933 : 178865138/446933 : 1)  C4a (-4802783/402592 : -4640469843/1610368 : 1)
**u= 29/175 ; 612591034*x^2 - 10150*y^2 + 612592716*z^2
; C3a (-4272479/31765 : 5248246693/158825 : 1)  C4a (-67161/17161 : 17029585/17161 : 1)
**u= 29/180 ; 648096359*x^2 - 10440*y^2 + 648098041*z^2
; C3a (-16436479/5130351 : 12870260396/15391053 : 1)  C4a (-1278141/1300909 : 1363178600/3902727 : 1)
**u= 29/181 ; 655317442*x^2 - 10498*y^2 + 655319124*z^2
; C3a (1282413/1619254 : 39698019/124558 : 1)  C4a (59618/270121 : -69112901/270121 : 1)
**u= 29/184 ; 677220727*x^2 - 10672*y^2 + 677222409*z^2
; C3a (33029/188118 : 192453563/752472 : 1)  C4a (188118/33029 : 192453563/132116 : 1)
**u= 29/189 ; 714526322*x^2 - 10962*y^2 + 714528004*z^2
; C3a (-72109/19378 : -19063167/19378 : 1)  C4a (-2720096/809563 : -2173703143/2428689 : 1)
**u= 29/196 ; 768434407*x^2 - 11368*y^2 + 768436089*z^2
; C3a (14609/18383 : -42734278/128681 : 1)  C4a (190747/228439 : 541626583/1599073 : 1)
**u= 29/197 ; 776295586*x^2 - 11426*y^2 + 776297268*z^2
; C3a (3141861/2183456 : -90662193/198496 : 1)  C4a (-16958/26973 : 2768237/8991 : 1)
**u= 36/7 ; 978851*x^2 - 504*y^2 + 981443*z^2
; C3a (1143/275 : -310879/1650 : 1)  C4a (-10743/1787 : -2883403/10722 : 1)
**u= 36/11 ; 2419067*x^2 - 792*y^2 + 2421659*z^2
; C3a (-23107/61021 : -21646771/366126 : 1)  C4a (3215/817 : 1100527/4902 : 1)
**u= 36/19 ; 7219787*x^2 - 1368*y^2 + 7222379*z^2
; C3a (3437/2715 : 1909291/16290 : 1)  C4a (22549/7197 : 10318907/43182 : 1)
**u= 36/55 ; 60507779*x^2 - 3960*y^2 + 60510371*z^2
; C3a (1401729/86459 : -1041592673/518754 : 1)  C4a (27952361047/1331228157 : 20755299372449/7987368942 : 1)
**u= 36/71 ; 100833827*x^2 - 5112*y^2 + 100836419*z^2
; C3a (-7283369/762493 : -6171039047/4574958 : 1)  C4a (-88469/136033 : 136741519/816198 : 1)
**u= 36/91 ; 165643547*x^2 - 6552*y^2 + 165646139*z^2
; C3a (-43059/4027 : -41257847/24162 : 1)  C4a (125843/46491 : 127986793/278946 : 1)
**u= 36/127 ; 322627091*x^2 - 9144*y^2 + 322629683*z^2
; C3a (791653/349185 : -975150619/2095110 : 1)  C4a (7091145/1476221 : -8163269467/8857326 : 1)
**u= 36/139 ; 386476667*x^2 - 10008*y^2 + 386479259*z^2
; C3a (19171/4437 : -23201441/26622 : 1)  C4a (-54085/128283 : -164147989/769698 : 1)
**u= 36/163 ; 531458411*x^2 - 11736*y^2 + 531461003*z^2
; C3a (-4551/3599 : -7408183/21594 : 1)  C4a (-1644365/62571 : -2101064149/375426 : 1)
**u= 37/2 ; 78643*x^2 - 148*y^2 + 81381*z^2
; C3a (-16792/1111 : 775913/2222 : 1)  C4a (-42501/23497 : 1134296/23497 : 1)
**u= 37/9 ; 1618874*x^2 - 666*y^2 + 1621612*z^2
; C3a (437/32 : 21603/32 : 1)  C4a (-4842/1843 : 40361/291 : 1)
**u= 37/18 ; 6479603*x^2 - 1332*y^2 + 6482341*z^2
; C3a (-7232/139 : -1008999/278 : 1)  C4a (-25927/20364 : 13798289/122184 : 1)
**u= 37/26 ; 13520659*x^2 - 1924*y^2 + 13523397*z^2
; C3a (47318/136745 : 24262481/273490 : 1)  C4a (-99327/6182 : 16686953/12364 : 1)
**u= 37/57 ; 64988378*x^2 - 4218*y^2 + 64991116*z^2
; C3a (124207/31240 : 15897577/31240 : 1)  C4a (70358/7829 : 8787377/7829 : 1)
**u= 37/58 ; 67288723*x^2 - 4292*y^2 + 67291461*z^2
; C3a (-8634/6997 : 2783013/13994 : 1)  C4a (6997/8634 : 927671/5756 : 1)
**u= 37/78 ; 121696883*x^2 - 5772*y^2 + 121699621*z^2
; C3a (7633243/308536 : -2218554691/617072 : 1)  C4a (181289/92603 : 29559402/92603 : 1)
**u= 37/89 ; 158442394*x^2 - 6586*y^2 + 158445132*z^2
; C3a (17587/69118 : 11062217/69118 : 1)  C4a (2074100/343673 : -326091679/343673 : 1)
**u= 37/94 ; 176745139*x^2 - 6956*y^2 + 176747877*z^2
; C3a (-767763/874417 : 185487918/874417 : 1)  C4a (902239/309099 : -50675208/103033 : 1)
**u= 37/113 ; 255416938*x^2 - 8362*y^2 + 255419676*z^2
; C3a (441309/17672 : 77189901/17672 : 1)  C4a (-881590/255909 : 53479171/85303 : 1)
**u= 37/114 ; 259957619*x^2 - 8436*y^2 + 259960357*z^2
; C3a (-37420456/1333445 : 13146120849/2666890 : 1)  C4a (-14741/11264 : -6513343/22528 : 1)
**u= 37/122 ; 297723283*x^2 - 9028*y^2 + 297726021*z^2
; C3a (1973013/490655 : -33564348/44605 : 1)  C4a (-37744157/15272346 : 4929419583/10181564 : 1)
**u= 37/134 ; 359172499*x^2 - 9916*y^2 + 359175237*z^2
; C3a (-2025949/731241 : -58560688/104463 : 1)  C4a (102970/87511 : -51437099/175022 : 1)
**u= 37/138 ; 380935763*x^2 - 10212*y^2 + 380938501*z^2
; C3a (546521/149035 : -109409028/149035 : 1)  C4a (-890785/533674 : 401118411/1067348 : 1)
**u= 37/150 ; 450066131*x^2 - 11100*y^2 + 450068869*z^2
; C3a (-386585/100213 : 402081712/501065 : 1)  C4a (-330517/543617 : -128108022/543617 : 1)
**u= 37/166 ; 551201299*x^2 - 12284*y^2 + 551204037*z^2
; C3a (-104433/126722 : 69568683/253444 : 1)  C4a (129598/148107 : 27792371/98738 : 1)
**u= 37/182 ; 662578003*x^2 - 13468*y^2 + 662580741*z^2
; C3a (-306667/60154 : 138631637/120308 : 1)  C4a (-187766/112093 : 97007773/224186 : 1)
**u= 37/193 ; 745090378*x^2 - 14282*y^2 + 745093116*z^2
; C3a (-2265390213/70695490 : -517683534951/70695490 : 1)  C4a (999028/508881 : -85361077/169627 : 1)
**u= 40/3 ; 178427*x^2 - 240*y^2 + 181627*z^2
; C3a (74/73 : 11387/292 : 1)  C4a (202/251 : -35263/1004 : 1)
**u= 40/27 ; 14580587*x^2 - 2160*y^2 + 14583787*z^2
; C3a (458/431 : 206695/1724 : 1)  C4a (427/12826 : 12652423/153912 : 1)
**u= 40/39 ; 30422963*x^2 - 3120*y^2 + 30426163*z^2
; C3a (34124/32447 : 18599537/129788 : 1)  C4a (-22693/118256 : 2503263/24896 : 1)
**u= 40/87 ; 151401107*x^2 - 6960*y^2 + 151404307*z^2
; C3a (35299/14912 : -22606893/59648 : 1)  C4a (-210007/4216 : 123921241/16864 : 1)
**u= 40/119 ; 283260883*x^2 - 9520*y^2 + 283264083*z^2
; C3a (-107087/385216 : -275870735/1540864 : 1)  C4a (30057/54076 : 42687505/216304 : 1)
**u= 40/179 ; 640914523*x^2 - 14320*y^2 + 640917723*z^2
; C3a (-158662/9061 : 134483351/36244 : 1)  C4a (-15887/16154 : 19173227/64616 : 1)
**u= 41/3 ; 178346*x^2 - 246*y^2 + 181708*z^2
; C3a (-4991/4609 : 183713/4609 : 1)  C4a (10331/15161 : -495457/15161 : 1)
**u= 41/16 ; 5119087*x^2 - 1312*y^2 + 5122449*z^2
; C3a (124551/6005 : 15577977/12010 : 1)  C4a (12175/11749 : 2114077/23498 : 1)
**u= 41/19 ; 7219402*x^2 - 1558*y^2 + 7222764*z^2
; C3a (-166111/21837 : -11404799/21837 : 1)  C4a (-8307/31099 : 2191219/31099 : 1)
**u= 41/33 ; 21781586*x^2 - 2706*y^2 + 21784948*z^2
; C3a (-7765181/384214 : -697530953/384214 : 1)  C4a (-868/593 : 94319/593 : 1)
**u= 41/36 ; 25922207*x^2 - 2952*y^2 + 25925569*z^2
; C3a (-41443/2819 : 3892526/2819 : 1)  C4a (319709/62157 : -91566688/186471 : 1)
**u= 41/52 ; 54086431*x^2 - 4264*y^2 + 54089793*z^2
; C3a (411187/92765 : -47473976/92765 : 1)  C4a (-255485/1473 : 9591807/491 : 1)
**u= 41/56 ; 62727727*x^2 - 4592*y^2 + 62731089*z^2
; C3a (-487107/1027381 : 132892809/1027381 : 1)  C4a (-139295/10047 : -5441034/3349 : 1)
**u= 41/57 ; 64988066*x^2 - 4674*y^2 + 64991428*z^2
; C3a (27497/1022 : 3244573/1022 : 1)  C4a (-317956/886739 : 111079509/886739 : 1)
**u= 41/72 ; 103693871*x^2 - 5904*y^2 + 103697233*z^2
; C3a (-867377/187623 : 352827719/562869 : 1)  C4a (-11057/70268 : 37707897/281072 : 1)
**u= 41/83 ; 137798986*x^2 - 6806*y^2 + 137802348*z^2
; C3a (23661/5899 : 3469803/5899 : 1)  C4a (1352705/387747 : -66743759/129249 : 1)
**u= 41/100 ; 200028319*x^2 - 8200*y^2 + 200031681*z^2
; C3a (-28651/29551 : -6428587/29551 : 1)  C4a (41007/5311 : -32291084/26555 : 1)
**u= 41/112 ; 250915951*x^2 - 9184*y^2 + 250919313*z^2
; C3a (114613/455303 : -155211229/910606 : 1)  C4a (1538725/3641903 : 1306994773/7283806 : 1)
**u= 41/120 ; 288041519*x^2 - 9840*y^2 + 288044881*z^2
; C3a (410207/43847 : 70582987/43847 : 1)  C4a (233123/31133 : -40239844/31133 : 1)
**u= 41/136 ; 369973807*x^2 - 11152*y^2 + 369977169*z^2
; C3a (-7477/12821 : -2703346/12821 : 1)  C4a (1262971/446512 : -975975239/1786048 : 1)
**u= 41/139 ; 386476282*x^2 - 11398*y^2 + 386479644*z^2
; C3a (-5480227/3806085 : 1228630369/3806085 : 1)  C4a (337275/494623 : 110239069/494623 : 1)
**u= 41/153 ; 468248546*x^2 - 12546*y^2 + 468251908*z^2
; C3a (-532669/408264 : 388968289/1224792 : 1)  C4a (14262/15403 : 12166283/46209 : 1)
**u= 41/156 ; 486791327*x^2 - 12792*y^2 + 486794689*z^2
; C3a (-2566649/14838115 : -2937543641/14838115 : 1)  C4a (-108233/88951 : 27329162/88951 : 1)
**u= 41/171 ; 584906042*x^2 - 14022*y^2 + 584909404*z^2
; C3a (-185909/519827 : 16107791/74261 : 1)  C4a (414365/67083 : -257194469/201249 : 1)
**u= 41/172 ; 591767071*x^2 - 14104*y^2 + 591770433*z^2
; C3a (-62179483/3110555 : -1821780542/444365 : 1)  C4a (-1948037/713077 : -424920328/713077 : 1)
**u= 41/192 ; 737388911*x^2 - 15744*y^2 + 737392273*z^2
; C3a (264197/153113 : -264338623/612452 : 1)  C4a (177095/122939 : 186624547/491756 : 1)
**u= 45 ; 17978*x^2 - 90*y^2 + 22028*z^2
; C3a (1/2 : 103/6 : 1)  C4a (-208/109 : -10801/327 : 1)
**u= 45/17 ; 5778842*x^2 - 1530*y^2 + 5782892*z^2
; C3a (51651/22972 : -10423009/68916 : 1)  C4a (65764/13863 : -12395693/41589 : 1)
**u= 45/38 ; 28882307*x^2 - 3420*y^2 + 28886357*z^2
; C3a (16683/395201 : 109058416/1185603 : 1)  C4a (78747/24559 : 22742674/73677 : 1)
**u= 45/46 ; 42324323*x^2 - 4140*y^2 + 42328373*z^2
; C3a (-34873/99424 : -63922049/596544 : 1)  C4a (-28399/140237 : 43401706/420711 : 1)
**u= 45/97 ; 188206202*x^2 - 8730*y^2 + 188210252*z^2
; C3a (163181/593182 : -270996901/1779546 : 1)  C4a (37264/3217 : 16475461/9651 : 1)
**u= 45/154 ; 474389123*x^2 - 13860*y^2 + 474393173*z^2
; C3a (-5607131/15716633 : 9261560830/47149899 : 1)  C4a (203789/84593 : 122464532/253779 : 1)
**u= 45/161 ; 518495738*x^2 - 14490*y^2 + 518499788*z^2
; C3a (-10771/3558 : 6437317/10674 : 1)  C4a (1206036/983557 : 883160071/2950671 : 1)
**u= 45/178 ; 633773027*x^2 - 16020*y^2 + 633777077*z^2
; C3a (24777988/1542491 : 29627350385/9254946 : 1)  C4a (-783071/233843 : -487650034/701529 : 1)
**u= 49/9 ; 1617842*x^2 - 882*y^2 + 1622644*z^2
; C3a (7/74 : 22317/518 : 1)  C4a (468/421 : 566633/8841 : 1)
**u= 49/17 ; 5778466*x^2 - 1666*y^2 + 5783268*z^2
; C3a (1247/402 : 540157/2814 : 1)  C4a (-4370/4861 : -2695223/34027 : 1)
**u= 49/25 ; 12499474*x^2 - 2450*y^2 + 12504276*z^2
; C3a (159/112 : 486237/3920 : 1)  C4a (-2018/1407 : -410057/3283 : 1)
**u= 49/27 ; 14579786*x^2 - 2646*y^2 + 14584588*z^2
; C3a (1361/929 : -856279/6503 : 1)  C4a (-6151/5179 : 4178571/36253 : 1)
**u= 49/33 ; 21780866*x^2 - 3234*y^2 + 21785668*z^2
; C3a (28781/16 : 16533757/112 : 1)  C4a (14060/21617 : -14814383/151319 : 1)
**u= 49/44 ; 38723407*x^2 - 4312*y^2 + 38728209*z^2
; C3a (-8567/18621 : -13597597/130347 : 1)  C4a (-5383/169 : 274832/91 : 1)
**u= 49/72 ; 103693151*x^2 - 7056*y^2 + 103697953*z^2
; C3a (-312536/39521 : 1069298021/1106588 : 1)  C4a (799/1204 : 4904829/33712 : 1)
**u= 49/75 ; 112514474*x^2 - 7350*y^2 + 112519276*z^2
; C3a (28069/311365 : -1353833063/10897775 : 1)  C4a (18036341/1939975 : 78556825349/67899125 : 1)
**u= 49/89 ; 158441362*x^2 - 8722*y^2 + 158446164*z^2
; C3a (-187553/40020 : -180932681/280140 : 1)  C4a (-12506/34753 : -34846523/243271 : 1)
**u= 49/104 ; 216350047*x^2 - 10192*y^2 + 216354849*z^2
; C3a (24169/15 : 24649357/105 : 1)  C4a (-24875/18038 : 125350781/505064 : 1)
**u= 49/115 ; 264537274*x^2 - 11270*y^2 + 264542076*z^2
; C3a (164433/34253 : -180132723/239771 : 1)  C4a (-4387799/1496889 : -28090723/59199 : 1)
**u= 49/116 ; 269157967*x^2 - 11368*y^2 + 269162769*z^2
; C3a (-5873/6655 : 9560332/46585 : 1)  C4a (1559271/852947 : 1914373801/5970629 : 1)
**u= 49/123 ; 302622986*x^2 - 12054*y^2 + 302627788*z^2
; C3a (19489/29575 : -39284519/207025 : 1)  C4a (11453/7763 : 15346059/54341 : 1)
**u= 49/129 ; 332867522*x^2 - 12642*y^2 + 332872324*z^2
; C3a (148181/187778 : 271703249/1314446 : 1)  C4a (1259204/164483 : 75918097/60599 : 1)
**u= 49/131 ; 343269082*x^2 - 12838*y^2 + 343273884*z^2
; C3a (107179/63687 : -10977331/34293 : 1)  C4a (1079/817 : 1549171/5719 : 1)
**u= 49/132 ; 348529871*x^2 - 12936*y^2 + 348534673*z^2
; C3a (11201/21101 : 27449211/147707 : 1)  C4a (-21047/12877 : 28350137/90139 : 1)
**u= 49/144 ; 414779807*x^2 - 14112*y^2 + 414784609*z^2
; C3a (758261/555073 : -2255485083/7771022 : 1)  C4a (-21561/19207 : -103959074/403347 : 1)
**u= 49/155 ; 480569674*x^2 - 15190*y^2 + 480574476*z^2
; C3a (169521/84679 : 235935225/592753 : 1)  C4a (-35913/49987 : -76635235/349909 : 1)
**u= 49/169 ; 571303282*x^2 - 16562*y^2 + 571308084*z^2
; C3a (7497/22454 : -400095879/2043314 : 1)  C4a (-13180/10641 : -95432487/322777 : 1)
**u= 49/171 ; 584905322*x^2 - 16758*y^2 + 584910124*z^2
; C3a (-1899347/109029 : -7463966233/2289609 : 1)  C4a (-187191/81317 : -800709977/1707657 : 1)
**u= 49/195 ; 760611674*x^2 - 19110*y^2 + 760616476*z^2
; C3a (-13171/6641 : 20599519/46487 : 1)  C4a (-21703397/393613 : -30314449511/2755291 : 1)
**u= 50/11 ; 2417863*x^2 - 1100*y^2 + 2422863*z^2
; C3a (3/146 : -13707/292 : 1)  C4a (-12311/5766 : 2126307/19220 : 1)
**u= 50/39 ; 30422063*x^2 - 3900*y^2 + 30427063*z^2
; C3a (524768/242603 : -510617869/2426030 : 1)  C4a (147683/24248 : -132191541/242480 : 1)
**u= 50/43 ; 36983047*x^2 - 4300*y^2 + 36988047*z^2
; C3a (-4110/2347 : 4389381/23470 : 1)  C4a (3755/8958 : 3002697/29860 : 1)
**u= 50/47 ; 44184127*x^2 - 4700*y^2 + 44189127*z^2
; C3a (9419835/472868 : -9144797253/4728680 : 1)  C4a (-1263680/41181 : 408653383/137270 : 1)
**u= 50/67 ; 89790967*x^2 - 6700*y^2 + 89795967*z^2
; C3a (-10975/4234 : -13617991/42340 : 1)  C4a (24513/13190 : -32225587/131900 : 1)
**u= 50/111 ; 246454463*x^2 - 11100*y^2 + 246459463*z^2
; C3a (1652/1763 : -3600097/17630 : 1)  C4a (6487544/145781 : 9669437101/1457810 : 1)
**u= 50/123 ; 302622887*x^2 - 12300*y^2 + 302627887*z^2
; C3a (-422/521 : -210333/1042 : 1)  C4a (3918301/418090 : -6180989237/4180900 : 1)
**u= 50/139 ; 386475463*x^2 - 13900*y^2 + 386480463*z^2
; C3a (-297046/53379 : -503244013/533790 : 1)  C4a (2054/47291 : -4154203/24890 : 1)
**u= 50/151 ; 456085903*x^2 - 15100*y^2 + 456090903*z^2
; C3a (-779079/778928 : 382930929/1557856 : 1)  C4a (539437/362184 : 75281571/241456 : 1)
**u= 50/159 ; 505693343*x^2 - 15900*y^2 + 505698343*z^2
; C3a (-385433/91408 : 706441241/914080 : 1)  C4a (23770252/1596589 : 8497446257/3193178 : 1)
**u= 50/163 ; 531457207*x^2 - 16300*y^2 + 531462207*z^2
; C3a (-310325/750642 : 1466684611/7506420 : 1)  C4a (-330041/17638 : 119360209/35276 : 1)
**u= 50/187 ; 699482407*x^2 - 18700*y^2 + 699487407*z^2
; C3a (-1683987/354670 : 114771243/122300 : 1)  C4a (260710/8757 : 56056913/9730 : 1)
**u= 52/3 ; 177323*x^2 - 312*y^2 + 182731*z^2
; C3a (3011/1847 : -169123/3694 : 1)  C4a (911/83 : 44271/166 : 1)
**u= 52/27 ; 14579483*x^2 - 2808*y^2 + 14584891*z^2
; C3a (-68021/32215 : 32540599/193290 : 1)  C4a (-358885/58049 : -52401577/116098 : 1)
**u= 52/35 ; 24500971*x^2 - 3640*y^2 + 24506379*z^2
; C3a (-939/14519 : 2387601/29038 : 1)  C4a (1923/863 : 345887/1726 : 1)
**u= 52/71 ; 100832419*x^2 - 7384*y^2 + 100837827*z^2
; C3a (-257877/550387 : -142055403/1100774 : 1)  C4a (11579/130149 : 10179253/86766 : 1)
**u= 52/83 ; 137797963*x^2 - 8632*y^2 + 137803371*z^2
; C3a (169373/27111 : -43344461/54222 : 1)  C4a (-1890745/23899 : 477828281/47798 : 1)
**u= 52/95 ; 180524371*x^2 - 9880*y^2 + 180529779*z^2
; C3a (-113369/889831 : 242510095/1779662 : 1)  C4a (16123/67043 : -18641551/134086 : 1)
**u= 52/123 ; 302622683*x^2 - 12792*y^2 + 302628091*z^2
; C3a (-22981663/1843099 : -7092268471/3686198 : 1)  C4a (-47647/23611 : 16358087/47222 : 1)
**u= 52/167 ; 557860963*x^2 - 17368*y^2 + 557866371*z^2
; C3a (-853782901/239609853 : 317854540109/479219706 : 1)  C4a (919/3257 : 1213027/6514 : 1)
**u= 52/179 ; 640913419*x^2 - 18616*y^2 + 640918827*z^2
; C3a (629379/1076879 : 462874047/2153758 : 1)  C4a (-127417/19363 : 47827021/38726 : 1)
**u= 52/199 ; 792136099*x^2 - 20696*y^2 + 792141507*z^2
; C3a (1647777/1535825 : 881372523/3071650 : 1)  C4a (-2165365/208797 : 283731601/139198 : 1)
**u= 53 ; 17194*x^2 - 106*y^2 + 22812*z^2
; C3a (1471/140 : 18847/140 : 1)  C4a (24/31 : 529/31 : 1)
**u= 53/9 ; 1617434*x^2 - 954*y^2 + 1623052*z^2
; C3a (41/2714 : -111957/2714 : 1)  C4a (-5384/4741 : 295677/4741 : 1)
**u= 53/14 ; 3917779*x^2 - 1484*y^2 + 3923397*z^2
; C3a (-48591/12155 : -2573694/12155 : 1)  C4a (968/1647 : 21817/366 : 1)
**u= 53/22 ; 9678643*x^2 - 2332*y^2 + 9684261*z^2
; C3a (587/16999 : -1096102/16999 : 1)  C4a (-5981/26793 : 589534/8931 : 1)
**u= 53/30 ; 17999891*x^2 - 3180*y^2 + 18005509*z^2
; C3a (-4921/23189 : -1783748/23189 : 1)  C4a (-31/29 : -3194/29 : 1)
**u= 53/42 ; 35282483*x^2 - 4452*y^2 + 35288101*z^2
; C3a (-207889/272843 : -30537986/272843 : 1)  C4a (-125261/89758 : 27438321/179516 : 1)
**u= 53/86 ; 147939379*x^2 - 9116*y^2 + 147944997*z^2
; C3a (-844401/572621 : -18567372/81803 : 1)  C4a (-309190/135903 : 28683851/90602 : 1)
**u= 53/102 ; 208108403*x^2 - 10812*y^2 + 208114021*z^2
; C3a (-39033419/12293185 : -5677599372/12293185 : 1)  C4a (2581210/10792669 : 3079139369/21585338 : 1)
**u= 53/113 ; 255415498*x^2 - 11978*y^2 + 255421116*z^2
; C3a (-899403/1073464 : 204503541/1073464 : 1)  C4a (482/309 : -27869/103 : 1)
**u= 53/118 ; 278518963*x^2 - 12508*y^2 + 278524581*z^2
; C3a (324173/1203214 : -371900683/2406428 : 1)  C4a (86010/460247 : 139736111/920494 : 1)
**u= 53/130 ; 338047891*x^2 - 13780*y^2 + 338053509*z^2
; C3a (-74405484/2551669 : -23321403669/5103338 : 1)  C4a (1188233/114147 : -62322256/38049 : 1)
**u= 53/153 ; 468247418*x^2 - 16218*y^2 + 468253036*z^2
; C3a (-11242553/14709766 : 3145889739/14709766 : 1)  C4a (-129858/185101 : -115260331/555303 : 1)
**u= 53/158 ; 499352083*x^2 - 16748*y^2 + 499357701*z^2
; C3a (4771623/1253944 : -1703802267/2507888 : 1)  C4a (-48793291/9134817 : 2857220082/3044939 : 1)
**u= 53/185 ; 684599866*x^2 - 19610*y^2 + 684605484*z^2
; C3a (-144933/448 : -27080019/448 : 1)  C4a (230968/1389003 : -87696897/463001 : 1)
**u= 53/190 ; 722105491*x^2 - 20140*y^2 + 722111109*z^2
; C3a (-1658729/121571 : -314926610/121571 : 1)  C4a (-145453/110287 : 34563908/110287 : 1)
**u= 58/7 ; 976783*x^2 - 812*y^2 + 983511*z^2
; C3a (-7746/8635 : 806199/17270 : 1)  C4a (773050/842109 : -26473393/561406 : 1)
**u= 58/11 ; 2416999*x^2 - 1276*y^2 + 2423727*z^2
; C3a (541/460 : -61849/920 : 1)  C4a (38840/21207 : -1285359/14138 : 1)
**u= 58/15 ; 4497311*x^2 - 1740*y^2 + 4504039*z^2
; C3a (-20582/2833 : -2112521/5666 : 1)  C4a (-216431/36994 : 22341895/73988 : 1)
**u= 58/59 ; 69627079*x^2 - 6844*y^2 + 69633807*z^2
; C3a (1503376/151391 : -304805519/302782 : 1)  C4a (-144952/100547 : 35587993/201094 : 1)
**u= 58/71 ; 100831759*x^2 - 8236*y^2 + 100838487*z^2
; C3a (-25057/7378 : -825767/2108 : 1)  C4a (-7325290/291377 : 1622381873/582754 : 1)
**u= 58/95 ; 180523711*x^2 - 11020*y^2 + 180530439*z^2
; C3a (-1086383/594262 : -316980413/1188524 : 1)  C4a (1826202/2297 : 467480581/4594 : 1)
**u= 58/99 ; 196046039*x^2 - 11484*y^2 + 196052767*z^2
; C3a (-189836/67681 : -52665331/135362 : 1)  C4a (98908/3087 : -77577179/18522 : 1)
**u= 58/155 ; 480568711*x^2 - 17980*y^2 + 480575439*z^2
; C3a (-1772159/1229044 : 705166331/2458088 : 1)  C4a (-294712/821257 : 6634801/38198 : 1)
**u= 58/179 ; 640912759*x^2 - 20764*y^2 + 640919487*z^2
; C3a (-164021/229600 : 99147997/459200 : 1)  C4a (1042872/1799863 : -56224949/276902 : 1)
**u= 61/5 ; 496354*x^2 - 610*y^2 + 503796*z^2
; C3a (-31/36 : 1361/36 : 1)  C4a (36/31 : -1361/31 : 1)
**u= 61/28 ; 15678631*x^2 - 3416*y^2 + 15686073*z^2
; C3a (-160407/123107 : -13699959/123107 : 1)  C4a (-8683/15873 : -31431/407 : 1)
**u= 61/45 ; 40502354*x^2 - 5490*y^2 + 40509796*z^2
; C3a (21447/16562 : 6982631/49686 : 1)  C4a (-17674/14769 : -5935247/44307 : 1)
**u= 61/56 ; 62725687*x^2 - 6832*y^2 + 62733129*z^2
; C3a (-1433219/331677 : -140958542/331677 : 1)  C4a (-17482/1921 : -6741113/7684 : 1)
**u= 61/69 ; 95230562*x^2 - 8418*y^2 + 95238004*z^2
; C3a (-1707893/461996 : -188183067/461996 : 1)  C4a (-43128230/461209 : 4587616923/461209 : 1)
**u= 61/87 ; 151398986*x^2 - 10614*y^2 + 151406428*z^2
; C3a (-120607/10175 : -14455549/10175 : 1)  C4a (708029/149489 : 86427819/149489 : 1)
**u= 61/101 ; 204046882*x^2 - 12322*y^2 + 204054324*z^2
; C3a (335099/437450 : -5454757/33650 : 1)  C4a (-247390/243653 : 44683327/243653 : 1)
**u= 61/104 ; 216348727*x^2 - 12688*y^2 + 216356169*z^2
; C3a (186059/1165245 : -1176253/8895 : 1)  C4a (862635/169267 : -114793859/169267 : 1)
**u= 61/111 ; 246453242*x^2 - 13542*y^2 + 246460684*z^2
; C3a (959/1033 : 190153/1033 : 1)  C4a (-10750943/12118831 : 2185501353/12118831 : 1)
**u= 61/116 ; 269156647*x^2 - 14152*y^2 + 269164089*z^2
; C3a (599427/34855 : -82806213/34855 : 1)  C4a (-2598793/817961 : -375735782/817961 : 1)
**u= 61/143 ; 409037626*x^2 - 17446*y^2 + 409045068*z^2
; C3a (4837797/195055 : -741368373/195055 : 1)  C4a (719/711 : -51611/237 : 1)
**u= 61/149 ; 444082882*x^2 - 18178*y^2 + 444090324*z^2
; C3a (7440761/1363498 : -1182356341/1363498 : 1)  C4a (41907300/3225857 : -6569542591/3225857 : 1)
**u= 61/159 ; 505692122*x^2 - 19398*y^2 + 505699564*z^2
; C3a (-3230627/696991 : 533618283/696991 : 1)  C4a (-23461/17243 : 4701083/17243 : 1)
**u= 61/164 ; 537996967*x^2 - 20008*y^2 + 538004409*z^2
; C3a (-12577/3905 : -2159486/3905 : 1)  C4a (-6591483/1635659 : 1113652796/1635659 : 1)
**u= 61/172 ; 591765031*x^2 - 20984*y^2 + 591772473*z^2
; C3a (-8652231/1415101 : 1472281911/1415101 : 1)  C4a (-188231/368361 : -7718624/40929 : 1)
**u= 61/173 ; 598666066*x^2 - 21106*y^2 + 598673508*z^2
; C3a (-430147/345412 : 92910971/345412 : 1)  C4a (-1469624/1117591 : -310951103/1117591 : 1)
**u= 61/192 ; 737386871*x^2 - 23424*y^2 + 737394313*z^2
; C3a (645509/90569 : 462607539/362276 : 1)  C4a (68465779/433831 : -48591647699/1735324 : 1)
**u= 64/11 ; 2416267*x^2 - 1408*y^2 + 2424459*z^2
; C3a (-55553/21601 : 19757839/172808 : 1)  C4a (-799/8903 : -2962411/71224 : 1)
**u= 64/47 ; 44182531*x^2 - 6016*y^2 + 44190723*z^2
; C3a (519071/87235 : -360858847/697880 : 1)  C4a (-223/317 : -265727/2536 : 1)
**u= 64/95 ; 180522979*x^2 - 12160*y^2 + 180531171*z^2
; C3a (-14453/21103 : -24932165/168824 : 1)  C4a (-13913/347 : -13566103/2776 : 1)
**u= 64/123 ; 302621291*x^2 - 15744*y^2 + 302629483*z^2
; C3a (-13273/913 : -14756261/7304 : 1)  C4a (-1180003/370253 : 105515953/227848 : 1)
**u= 64/131 ; 343267387*x^2 - 16768*y^2 + 343275579*z^2
; C3a (-193711/122785 : -262518811/982280 : 1)  C4a (-23687/293071 : -336552167/2344568 : 1)
**u= 64/135 ; 364550579*x^2 - 17280*y^2 + 364558771*z^2
; C3a (492403/51247 : 1725752185/1229928 : 1)  C4a (1157233/744883 : -4797513065/17877192 : 1)
**u= 64/155 ; 480567979*x^2 - 19840*y^2 + 480576171*z^2
; C3a (-460307/17093 : 573513145/136744 : 1)  C4a (77269/389 : -96207973/3112 : 1)
**u= 64/159 ; 505691747*x^2 - 20352*y^2 + 505699939*z^2
; C3a (-5436349/821255 : -6933247027/6570040 : 1)  C4a (-711841/110507 : -908420547/884056 : 1)
**u= 64/183 ; 669876371*x^2 - 23424*y^2 + 669884563*z^2
; C3a (672953/166165 : 937762877/1329320 : 1)  C4a (1556249/1424611 : 2854354313/11396888 : 1)
**u= 64/195 ; 760609979*x^2 - 24960*y^2 + 760618171*z^2
; C3a (-216349/200821 : 412238461/1606568 : 1)  C4a (10075789/92309 : -14071757221/738472 : 1)
**u= 65/21 ; 8817098*x^2 - 2730*y^2 + 8825548*z^2
; C3a (189977/4694 : 10799787/4694 : 1)  C4a (886/283 : 52881/283 : 1)
**u= 65/22 ; 9677227*x^2 - 2860*y^2 + 9685677*z^2
; C3a (4117/344 : -480635/688 : 1)  C4a (-31/53 : 3572/53 : 1)
**u= 65/42 ; 35281067*x^2 - 5460*y^2 + 35289517*z^2
; C3a (-356324/169537 : 63441261/339074 : 1)  C4a (-212323/889204 : -146976999/1778408 : 1)
**u= 65/61 ; 74426938*x^2 - 7930*y^2 + 74435388*z^2
; C3a (-107/76 : 12715/76 : 1)  C4a (-136164/72517 : 14946181/72517 : 1)
**u= 65/82 ; 134495947*x^2 - 10660*y^2 + 134504397*z^2
; C3a (922761/33307 : -103716528/33307 : 1)  C4a (-6999/1013 : -794378/1013 : 1)
**u= 65/98 ; 192104587*x^2 - 12740*y^2 + 192113037*z^2
; C3a (-273894/947 : 67266567/1894 : 1)  C4a (966401/1694598 : -1117903881/7908124 : 1)
**u= 65/114 ; 259954763*x^2 - 14820*y^2 + 259963213*z^2
; C3a (14707913/5141261 : 2063525734/5141261 : 1)  C4a (-49177/499106 : 132845113/998212 : 1)
**u= 65/166 ; 551198443*x^2 - 21580*y^2 + 551206893*z^2
; C3a (6996881/2202552 : -2344662259/4405104 : 1)  C4a (-14753536/303577 : -4716823595/607154 : 1)
**u= 65/198 ; 784193387*x^2 - 25740*y^2 + 784201837*z^2
; C3a (10204583/3523216 : -3768662973/7046432 : 1)  C4a (-12634868/1985859 : -13394627237/11915154 : 1)
**u= 73/8 ; 1274863*x^2 - 1168*y^2 + 1285521*z^2
; C3a (-162488/20929 : -21651811/83716 : 1)  C4a (-6117/836 : 43117/176 : 1)
**u= 73/20 ; 7995871*x^2 - 2920*y^2 + 8006529*z^2
; C3a (-560629/19131 : 29354188/19131 : 1)  C4a (33777/9553 : -1837978/9553 : 1)
**u= 73/24 ; 11516399*x^2 - 3504*y^2 + 11527057*z^2
; C3a (4601/2390 : 1189061/9560 : 1)  C4a (15266/26669 : 7047543/106676 : 1)
**u= 73/27 ; 14576858*x^2 - 3942*y^2 + 14587516*z^2
; C3a (-348329/181477 : -71658103/544431 : 1)  C4a (-4315/5989 : 448927/5989 : 1)
**u= 73/32 ; 20477743*x^2 - 4672*y^2 + 20488401*z^2
; C3a (76/227 : -126817/1816 : 1)  C4a (-50885/21059 : -7293491/42118 : 1)
**u= 73/36 ; 25918559*x^2 - 5256*y^2 + 25929217*z^2
; C3a (-9329/16465 : 1329118/16465 : 1)  C4a (12567/8473 : -3193456/25419 : 1)
**u= 73/76 ; 115531999*x^2 - 11096*y^2 + 115542657*z^2
; C3a (-28017063/872105 : -2860229256/872105 : 1)  C4a (935593/2802087 : 100480504/934029 : 1)
**u= 73/80 ; 128013871*x^2 - 11680*y^2 + 128024529*z^2
; C3a (-93157/34943 : 20832445/69886 : 1)  C4a (16665767/3548297 : -1783924537/3548297 : 1)
**u= 73/81 ; 131234354*x^2 - 11826*y^2 + 131245012*z^2
; C3a (-271537/64350 : -264571141/579150 : 1)  C4a (-31652796/1080581 : 30028245571/9725229 : 1)
**u= 73/83 ; 137795338*x^2 - 12118*y^2 + 137805996*z^2
; C3a (29507/353871 : -37867619/353871 : 1)  C4a (-4449459/1851403 : -513922349/1851403 : 1)
**u= 73/105 ; 220527746*x^2 - 15330*y^2 + 220538404*z^2
; C3a (-425213/69382 : -51674127/69382 : 1)  C4a (158906/150121 : -26219411/150121 : 1)
**u= 73/123 ; 302620058*x^2 - 17958*y^2 + 302630716*z^2
; C3a (188357/341369 : 50613161/341369 : 1)  C4a (460865/158039 : 63247339/158039 : 1)
**u= 73/129 ; 332864594*x^2 - 18834*y^2 + 332875252*z^2
; C3a (1668241/11347240 : 1524765311/11347240 : 1)  C4a (-48964/309011 : -41593107/309011 : 1)
**u= 73/131 ; 343266154*x^2 - 19126*y^2 + 343276812*z^2
; C3a (-82117/232283 : 33006443/232283 : 1)  C4a (-665215/2094693 : -98144863/698231 : 1)
**u= 73/132 ; 348526943*x^2 - 19272*y^2 + 348537601*z^2
; C3a (1193723/3087461 : 445157938/3087461 : 1)  C4a (3375071/326597 : 456003493/326597 : 1)
**u= 73/153 ; 468244898*x^2 - 22338*y^2 + 468255556*z^2
; C3a (119237/79304 : 20733021/79304 : 1)  C4a (635720/929021 : -162982869/929021 : 1)
**u= 73/179 ; 640910794*x^2 - 26134*y^2 + 640921452*z^2
; C3a (-378450257/4918697 : -59270874119/4918697 : 1)  C4a (325917/284747 : 67775069/284747 : 1)
**u= 73/185 ; 684597346*x^2 - 27010*y^2 + 684608004*z^2
; C3a (-182659/266464 : 51432779/266464 : 1)  C4a (554102/699717 : -47365757/233239 : 1)
**u= 73/200 ; 800114671*x^2 - 29200*y^2 + 800125329*z^2
; C3a (-1106129/366737 : 964512028/1833685 : 1)  C4a (114057/71209 : 111289102/356045 : 1)
**u= 81 ; 13442*x^2 - 162*y^2 + 26564*z^2
; C3a (537/196 : 49481/1764 : 1)  C4a (-112/111 : -15793/999 : 1)
**u= 81/4 ; 313487*x^2 - 648*y^2 + 326609*z^2
; C3a (-373/555 : -134266/4995 : 1)  C4a (535/717 : 178411/6453 : 1)
**u= 81/25 ; 12495314*x^2 - 4050*y^2 + 12508436*z^2
; C3a (-33301/6582 : 84848867/296190 : 1)  C4a (576/2413 : -6201001/108585 : 1)
**u= 81/35 ; 24497114*x^2 - 5670*y^2 + 24510236*z^2
; C3a (74723/19073 : -45622145/171657 : 1)  C4a (-701/461 : 496423/4149 : 1)
**u= 81/49 ; 48020642*x^2 - 7938*y^2 + 48033764*z^2
; C3a (439/4962 : 24412243/312606 : 1)  C4a (358/4881 : -23981323/307503 : 1)
**u= 81/56 ; 62722847*x^2 - 9072*y^2 + 62735969*z^2
; C3a (1951/1552 : 7462867/55872 : 1)  C4a (-155/5459 : -4086881/49131 : 1)
**u= 81/97 ; 188201666*x^2 - 15714*y^2 + 188214788*z^2
; C3a (441/47680 : -46965703/429120 : 1)  C4a (117858/234937 : -258886037/2114433 : 1)
**u= 81/115 ; 264533114*x^2 - 18630*y^2 + 264546236*z^2
; C3a (-91521/66719 : 121465003/600471 : 1)  C4a (10173/13807 : -18392659/124263 : 1)
**u= 81/137 ; 375429746*x^2 - 22194*y^2 + 375442868*z^2
; C3a (-29821919/4124626 : 35240285701/37121634 : 1)  C4a (140218/134327 : 227295853/1208943 : 1)
**u= 81/139 ; 386471402*x^2 - 22518*y^2 + 386484524*z^2
; C3a (73/351 : 422713/3159 : 1)  C4a (-1112403/862231 : -1659473311/7760079 : 1)
**u= 81/160 ; 512070239*x^2 - 25920*y^2 + 512083361*z^2
; C3a (13394/65529 : -676871699/4718088 : 1)  C4a (-175773/29827 : -225533855/268443 : 1)
**u= 81/163 ; 531453146*x^2 - 26406*y^2 + 531466268*z^2
; C3a (-24503/57975 : 80363333/521775 : 1)  C4a (-57975/24503 : -80363333/220527 : 1)
**u= 81/169 ; 571299122*x^2 - 27378*y^2 + 571312244*z^2
; C3a (-111/16982 : 287025103/1986894 : 1)  C4a (-30/16901 : 285647131/1977417 : 1)
**u= 81/172 ; 591762191*x^2 - 27864*y^2 + 591775313*z^2
; C3a (5321/35421 : -46979209/318789 : 1)  C4a (-13445/52431 : 70992427/471879 : 1)
**u= 81/188 ; 706979471*x^2 - 30456*y^2 + 706992593*z^2
; C3a (51583/75365 : 125231387/678285 : 1)  C4a (2399/21011 : -28998053/189099 : 1)
**u= 81/193 ; 745085186*x^2 - 31266*y^2 + 745098308*z^2
; C3a (7355853/6341638 : -13493487929/57074742 : 1)  C4a (-75340/123 : -104674123/1107 : 1)
**u= 82/3 ; 173303*x^2 - 492*y^2 + 186751*z^2
; C3a (-9203/4954 : 395721/9908 : 1)  C4a (1585/4138 : 167153/8276 : 1)
**u= 82/31 ; 19216159*x^2 - 5084*y^2 + 19229607*z^2
; C3a (155172/38423 : -19656423/76846 : 1)  C4a (-40/9 : -1681/6 : 1)
**u= 82/87 ; 151395983*x^2 - 14268*y^2 + 151409431*z^2
; C3a (167764/170693 : 49308319/341386 : 1)  C4a (2336495/536204 : -493894397/1072408 : 1)
**u= 82/103 ; 212205103*x^2 - 16892*y^2 + 212218551*z^2
; C3a (-1072311/314128 : -250476783/628256 : 1)  C4a (-3940/42153 : 3163469/28102 : 1)
**u= 82/131 ; 343264759*x^2 - 21484*y^2 + 343278207*z^2
; C3a (1937226/1552741 : 627648309/3105482 : 1)  C4a (-1951526/319359 : 166643007/212906 : 1)
**u= 82/143 ; 409034623*x^2 - 23452*y^2 + 409048071*z^2
; C3a (-63416428/3171665 : -16771208617/6343330 : 1)  C4a (29335/24616 : -10114951/49232 : 1)
**u= 83 ; 13114*x^2 - 166*y^2 + 26892*z^2
; C3a (-9 : 81 : 1)  C4a (-1/9 : -9 : 1)
**u= 83/3 ; 173138*x^2 - 498*y^2 + 186916*z^2
; C3a (-1/2 : 43/2 : 1)  C4a (-2 : -43 : 1)
**u= 83/9 ; 1613354*x^2 - 1494*y^2 + 1627132*z^2
; C3a (-13/23 : 871/23 : 1)  C4a (23/13 : 67 : 1)
**u= 83/12 ; 2873543*x^2 - 1992*y^2 + 2887321*z^2
; C3a (131/163 : -7954/163 : 1)  C4a (1127/29 : -42921/29 : 1)
**u= 83/16 ; 5113879*x^2 - 2656*y^2 + 5127657*z^2
; C3a (227/13 : 9977/13 : 1)  C4a (145/157 : 18767/314 : 1)
**u= 83/27 ; 14575298*x^2 - 4482*y^2 + 14589076*z^2
; C3a (439/500 : 113861/1500 : 1)  C4a (500/439 : 113861/1317 : 1)
**u= 83/28 ; 15675463*x^2 - 4648*y^2 + 15689241*z^2
; C3a (4561/7213 : -495757/7213 : 1)  C4a (-6733/111 : -130411/37 : 1)
**u= 83/33 ; 21776378*x^2 - 5478*y^2 + 21790156*z^2
; C3a (817/1015 : 82167/1015 : 1)  C4a (21473/9659 : -1484917/9659 : 1)
**u= 83/36 ; 25916999*x^2 - 5976*y^2 + 25930777*z^2
; C3a (2123/827 : -150048/827 : 1)  C4a (-47/147 : 30491/441 : 1)
**u= 83/42 ; 35278403*x^2 - 6972*y^2 + 35292181*z^2
; C3a (6863/2054 : 1019189/4108 : 1)  C4a (-1466/1117 : -262239/2234 : 1)
**u= 83/55 ; 60502186*x^2 - 9130*y^2 + 60515964*z^2
; C3a (-289671/47996 : 23902185/47996 : 1)  C4a (692/417 : 21925/139 : 1)
**u= 83/58 ; 67283203*x^2 - 9628*y^2 + 67296981*z^2
; C3a (-61229/7530 : 10314133/15060 : 1)  C4a (83/431 : 36692/431 : 1)
**u= 83/62 ; 76884643*x^2 - 10292*y^2 + 76898421*z^2
; C3a (-13917/7345 : -1360134/7345 : 1)  C4a (48215/111156 : 6981567/74104 : 1)
**u= 83/64 ; 81925399*x^2 - 10624*y^2 + 81939177*z^2
; C3a (367/65 : -65459/130 : 1)  C4a (-601/1449 : -91837/966 : 1)
**u= 83/71 ; 100828234*x^2 - 11786*y^2 + 100842012*z^2
; C3a (-201/154 : 23421/154 : 1)  C4a (-1970/2787 : 105227/929 : 1)
**u= 83/98 ; 192101923*x^2 - 16268*y^2 + 192115701*z^2
; C3a (-3/41 : 31272/287 : 1)  C4a (-1259/633 : -357316/1477 : 1)
**u= 83/102 ; 208104323*x^2 - 16932*y^2 + 208118101*z^2
; C3a (15451/2905 : -248994/415 : 1)  C4a (-18655/8234 : 4521419/16468 : 1)
**u= 83/112 ; 250910743*x^2 - 18592*y^2 + 250924521*z^2
; C3a (-557/829 : 116027/829 : 1)  C4a (313/61 : 74093/122 : 1)
**u= 83/118 ; 278514883*x^2 - 19588*y^2 + 278528661*z^2
; C3a (-6571/863 : -790268/863 : 1)  C4a (-3461/6687 : 299282/2229 : 1)
**u= 83/135 ; 364547786*x^2 - 22410*y^2 + 364561564*z^2
; C3a (217/82 : 29587/82 : 1)  C4a (2/473 : 180985/1419 : 1)
**u= 83/138 ; 380930243*x^2 - 22908*y^2 + 380944021*z^2
; C3a (-146491/4550 : -37798927/9100 : 1)  C4a (6167/9341 : 1443388/9341 : 1)
**u= 83/143 ; 409034458*x^2 - 23738*y^2 + 409048236*z^2
; C3a (-14151/5362 : -283779/766 : 1)  C4a (-17794/5067 : 809557/1689 : 1)
**u= 83/150 ; 450060611*x^2 - 24900*y^2 + 450074389*z^2
; C3a (26530/7849 : -37195819/78490 : 1)  C4a (-291715/10937 : 196234902/54685 : 1)
**u= 83/190 ; 722101411*x^2 - 31540*y^2 + 722115189*z^2
; C3a (147963/106447 : 27580092/106447 : 1)  C4a (7339/5809 : 1416238/5809 : 1)
**u= 85/7 ; 972922*x^2 - 1190*y^2 + 987372*z^2
; C3a (-669/2047 : -61989/2047 : 1)  C4a (-5909/6483 : 83887/2161 : 1)
**u= 85/8 ; 1272967*x^2 - 1360*y^2 + 1287417*z^2
; C3a (-199586/77493 : 26220613/309972 : 1)  C4a (-1843/5774 : -742115/23096 : 1)
**u= 85/12 ; 2873207*x^2 - 2040*y^2 + 2887657*z^2
; C3a (-6737/9931 : 451143/9931 : 1)  C4a (-49177/31961 : 2204990/31961 : 1)
**u= 85/32 ; 20475847*x^2 - 5440*y^2 + 20490297*z^2
; C3a (-1646/583 : -857081/4664 : 1)  C4a (16203/19661 : -3126559/39322 : 1)
**u= 85/44 ; 38718583*x^2 - 7480*y^2 + 38733033*z^2
; C3a (-40153/1449 : -2890744/1449 : 1)  C4a (212649/32843 : -15483545/32843 : 1)
**u= 85/48 ; 46079687*x^2 - 8160*y^2 + 46094137*z^2
; C3a (-61691/65833 : 13560691/131666 : 1)  C4a (759229/225673 : 119058279/451346 : 1)
**u= 85/56 ; 62722183*x^2 - 9520*y^2 + 62736633*z^2
; C3a (-41/1847 : 149974/1847 : 1)  C4a (299122/50241 : -32829857/66988 : 1)
**u= 85/69 ; 95227058*x^2 - 11730*y^2 + 95241508*z^2
; C3a (-1568881/1121498 : 173765637/1121498 : 1)  C4a (108964/126283 : -15028931/126283 : 1)
**u= 85/77 ; 118590562*x^2 - 13090*y^2 + 118605012*z^2
; C3a (-38147/218956 : 21155869/218956 : 1)  C4a (759184/395513 : 81482825/395513 : 1)
**u= 85/84 ; 141133943*x^2 - 14280*y^2 + 141148393*z^2
; C3a (162073/132841 : 20833584/132841 : 1)  C4a (-576377/374461 : 68333975/374461 : 1)
**u= 85/92 ; 169298167*x^2 - 15640*y^2 + 169312617*z^2
; C3a (-403953/13681 : 42052086/13681 : 1)  C4a (4321/3677 : -590321/3677 : 1)
**u= 85/93 ; 172998722*x^2 - 15810*y^2 + 173013172*z^2
; C3a (274829/26798 : -28885047/26798 : 1)  C4a (1850146/835423 : -212358867/835423 : 1)
**u= 85/96 ; 184340423*x^2 - 16320*y^2 + 184354873*z^2
; C3a (115313/16516 : 99044035/132128 : 1)  C4a (787/371 : -92473/371 : 1)
**u= 85/104 ; 216345223*x^2 - 17680*y^2 + 216359673*z^2
; C3a (37744/5543 : -16880069/22172 : 1)  C4a (66727/60409 : -9957026/60409 : 1)
**u= 85/144 ; 414774983*x^2 - 24480*y^2 + 414789433*z^2
; C3a (-154031/39073 : 504507/953 : 1)  C4a (1823721/112537 : 713531323/337611 : 1)
**u= 85/151 ; 456081178*x^2 - 25670*y^2 + 456095628*z^2
; C3a (-94926447/731741 : -12653430081/731741 : 1)  C4a (10597/138591 : -6175723/46197 : 1)
**u= 85/197 ; 776289202*x^2 - 33490*y^2 + 776303652*z^2
; C3a (-28253503/1046504 : 4304514905/1046504 : 1)  C4a (1568898/2573401 : 458870227/2573401 : 1)
**u= 89/16 ; 5112847*x^2 - 2848*y^2 + 5128689*z^2
; C3a (-14827/5985 : 1355243/11970 : 1)  C4a (236803/1151 : 20098123/2302 : 1)
**u= 89/27 ; 14574266*x^2 - 4806*y^2 + 14590108*z^2
; C3a (-27079/145229 : -3488407/62241 : 1)  C4a (5755/7969 : -41647/613 : 1)
**u= 89/28 ; 15674431*x^2 - 4984*y^2 + 15690273*z^2
; C3a (-10409459/1366529 : -588774709/1366529 : 1)  C4a (-1037721/111049 : 58556744/111049 : 1)
**u= 89/32 ; 20475151*x^2 - 5696*y^2 + 20490993*z^2
; C3a (60792/1877 : -29172393/15016 : 1)  C4a (-40633/10833 : 1681449/7222 : 1)
**u= 89/59 ; 69622522*x^2 - 10502*y^2 + 69638364*z^2
; C3a (-188883/39565 : -15712977/39565 : 1)  C4a (43305881/1796313 : -1176486927/598771 : 1)
**u= 89/73 ; 106588066*x^2 - 12994*y^2 + 106603908*z^2
; C3a (218923/97232 : 21695693/97232 : 1)  C4a (-74520/6703 : -6777001/6703 : 1)
**u= 89/75 ; 112508954*x^2 - 13350*y^2 + 112524796*z^2
; C3a (-3145061/4042111 : 470188151/4042111 : 1)  C4a (-11737/5945 : 6039431/29725 : 1)
**u= 89/76 ; 115529407*x^2 - 13528*y^2 + 115545249*z^2
; C3a (-23799/137305 : 1839816/19615 : 1)  C4a (-17215/8323 : 1767151/8323 : 1)
**u= 89/81 ; 131231762*x^2 - 14418*y^2 + 131247604*z^2
; C3a (7251/67280 : -58107077/605520 : 1)  C4a (-2102452/1009519 : -222517969/1009519 : 1)
**u= 89/84 ; 141133247*x^2 - 14952*y^2 + 141149089*z^2
; C3a (-3559/16075 : -1599671/16075 : 1)  C4a (972287/56561 : 94627508/56561 : 1)
**u= 89/97 ; 188200306*x^2 - 17266*y^2 + 188216148*z^2
; C3a (102311/113466 : 15951227/113466 : 1)  C4a (18694/38579 : -4475767/38579 : 1)
**u= 89/121 ; 292856002*x^2 - 21538*y^2 + 292871844*z^2
; C3a (-10939/6670 : -16433933/73370 : 1)  C4a (-250538/56439 : -9982447/18813 : 1)
**u= 89/147 ; 432236906*x^2 - 26166*y^2 + 432252748*z^2
; C3a (-55733/247265 : -228045451/1730855 : 1)  C4a (-959585/768607 : -1106134279/5380249 : 1)
**u= 89/153 ; 468242306*x^2 - 27234*y^2 + 468258148*z^2
; C3a (5408959/417776 : 711352599/417776 : 1)  C4a (124850/648943 : 86652021/648943 : 1)
**u= 89/169 ; 571297762*x^2 - 30082*y^2 + 571313604*z^2
; C3a (1973561/177408 : -507132517/329472 : 1)  C4a (-177408/1973561 : -3549927619/25656293 : 1)
**u= 89/187 ; 699476986*x^2 - 33286*y^2 + 699492828*z^2
; C3a (-4566383/958345 : -676375883/958345 : 1)  C4a (-2575/4157 : 708857/4157 : 1)
**u= 89/192 ; 737382671*x^2 - 34176*y^2 + 737398513*z^2
; C3a (963527/740483 : -713992441/2961932 : 1)  C4a (-367439/84991 : 110795811/169982 : 1)
**u= 89/193 ; 745083826*x^2 - 34354*y^2 + 745099668*z^2
; C3a (3436131/1370534 : -544806969/1370534 : 1)  C4a (-51340/16017 : -138953/281 : 1)
**u= 97/5 ; 490666*x^2 - 970*y^2 + 509484*z^2
; C3a (127/2832 : 64967/2832 : 1)  C4a (44296/11881 : -1049761/11881 : 1)
**u= 97/14 ; 3911179*x^2 - 2716*y^2 + 3929997*z^2
; C3a (339587/52503 : -13040492/52503 : 1)  C4a (-1178/94883 : -7201799/189766 : 1)
**u= 97/21 ; 8811914*x^2 - 4074*y^2 + 8830732*z^2
; C3a (-61309/133970 : 6858121/133970 : 1)  C4a (511736/8261 : 23828147/8261 : 1)
**u= 97/30 ; 17993291*x^2 - 5820*y^2 + 18012109*z^2
; C3a (4061/674 : 457787/1348 : 1)  C4a (155899/77839 : -9692834/77839 : 1)
**u= 97/66 ; 87123659*x^2 - 12804*y^2 + 87142477*z^2
; C3a (-183626/363569 : -67202741/727138 : 1)  C4a (-48109/94121 : 8719558/94121 : 1)
**u= 97/82 ; 134490763*x^2 - 15908*y^2 + 134509581*z^2
; C3a (362319/465557 : -54244842/465557 : 1)  C4a (-80225/1587 : 2459474/529 : 1)
**u= 97/98 ; 192099403*x^2 - 19012*y^2 + 192118221*z^2
; C3a (-189419/54903 : 138768062/384321 : 1)  C4a (-12750435/863129 : -8992617514/6041903 : 1)
**u= 97/110 ; 242026891*x^2 - 21340*y^2 + 242045709*z^2
; C3a (-7604711/754739 : -813852830/754739 : 1)  C4a (-189094/422561 : 98603659/845122 : 1)
**u= 97/138 ; 380927723*x^2 - 26772*y^2 + 380946541*z^2
; C3a (-11082332/4764485 : -261624747/866270 : 1)  C4a (-640013/782636 : 241195647/1565272 : 1)
**u= 97/150 ; 450058091*x^2 - 29100*y^2 + 450076909*z^2
; C3a (-3675163/273455 : -327367292/195325 : 1)  C4a (-10900/4769 : 14796381/47690 : 1)
**u= 97/190 ; 722098891*x^2 - 36860*y^2 + 722117709*z^2
; C3a (-407937/3997 : -57099804/3997 : 1)  C4a (3284578/9813 : -306490199/6542 : 1)
**u= 98/31 ; 19213279*x^2 - 6076*y^2 + 19232487*z^2
; C3a (-11293/23600 : 20605379/330400 : 1)  C4a (-13757/8208 : -4205419/38304 : 1)
**u= 98/39 ; 30414959*x^2 - 7644*y^2 + 30434167*z^2
; C3a (6823/4132 : 7044789/57848 : 1)  C4a (60284/76651 : 86127807/1073114 : 1)
**u= 98/67 ; 89783863*x^2 - 13132*y^2 + 89803071*z^2
; C3a (13106/9473 : -18720509/132622 : 1)  C4a (259865/60998 : 309029509/853972 : 1)
**u= 98/95 ; 180517471*x^2 - 18620*y^2 + 180536679*z^2
; C3a (-17997/31772 : 50337045/444808 : 1)  C4a (20008/136533 : 63405735/637154 : 1)
**u= 98/103 ; 212202223*x^2 - 20188*y^2 + 212221431*z^2
; C3a (5073/34376 : 49878021/481264 : 1)  C4a (-80/1007 : -76313/742 : 1)
**u= 98/111 ; 246447359*x^2 - 21756*y^2 + 246466567*z^2
; C3a (70883/64852 : -143157277/907928 : 1)  C4a (-537667/12412 : 801394913/173768 : 1)
**u= 98/139 ; 386468359*x^2 - 27244*y^2 + 386487567*z^2
; C3a (2701458/291073 : 4530585489/4075022 : 1)  C4a (261319/246726 : -199756211/1151388 : 1)
**u= 98/187 ; 699475303*x^2 - 36652*y^2 + 699494511*z^2
; C3a (-487469/685582 : 1626964991/9598148 : 1)  C4a (-7451494/199237 : -14416833737/2789318 : 1)
**u= 98/199 ; 792129199*x^2 - 39004*y^2 + 792148407*z^2
; C3a (1247767/1404380 : 3748114933/19661320 : 1)  C4a (-28617/1432 : 57166801/20048 : 1)
**u= 100/23 ; 10571587*x^2 - 4600*y^2 + 10591587*z^2
; C3a (178809/118411 : 102840963/1184110 : 1)  C4a (4603/1383 : -768697/4610 : 1)
**u= 100/31 ; 19212883*x^2 - 6200*y^2 + 19232883*z^2
; C3a (23193/2299 : -2594853/4598 : 1)  C4a (-8789/945 : 547037/1050 : 1)
**u= 100/47 ; 44176627*x^2 - 9400*y^2 + 44196627*z^2
; C3a (86081/19341 : -60483769/193410 : 1)  C4a (-266867/117593 : -199959427/1175930 : 1)
**u= 100/59 ; 69620443*x^2 - 11800*y^2 + 69640443*z^2
; C3a (-122721/48497 : -20271933/96994 : 1)  C4a (84535/194511 : 54303663/648370 : 1)
**u= 100/103 ; 212201827*x^2 - 20600*y^2 + 212221827*z^2
; C3a (957789/91369 : 976513287/913690 : 1)  C4a (-295633/84483 : -104025017/281610 : 1)
**u= 100/131 ; 343261483*x^2 - 26200*y^2 + 343281483*z^2
; C3a (-3891/563 : -900021/1126 : 1)  C4a (-131237/3955 : 150289261/39550 : 1)
**u= 100/143 ; 409031347*x^2 - 28600*y^2 + 409051347*z^2
; C3a (-2770123/2361 : -662558891/4722 : 1)  C4a (9589/12449 : -18792437/124490 : 1)
**u= 100/183 ; 669870467*x^2 - 36600*y^2 + 669890467*z^2
; C3a (57067/42793 : 96499659/427930 : 1)  C4a (9355523/392183 : 12668076271/3921830 : 1)
**u= 101/4 ; 309847*x^2 - 808*y^2 + 330249*z^2
; C3a (-6697/1609 : 135118/1609 : 1)  C4a (-1855/2357 : 59471/2357 : 1)
**u= 101/12 ; 2870231*x^2 - 2424*y^2 + 2890633*z^2
; C3a (-11189/1129 : 386989/1129 : 1)  C4a (-15037/23047 : -947937/23047 : 1)
**u= 101/13 ; 3370306*x^2 - 2626*y^2 + 3390708*z^2
; C3a (-19067/2240 : -687803/2240 : 1)  C4a (24120/43139 : -1771901/43139 : 1)
**u= 101/24 ; 11511527*x^2 - 4848*y^2 + 11531929*z^2
; C3a (-9901/13100 : -3202447/52400 : 1)  C4a (-24340801/28877183 : -1841028428/28877183 : 1)
**u= 101/39 ; 30414362*x^2 - 7878*y^2 + 30434764*z^2
; C3a (9493193/1001021 : -593125223/1001021 : 1)  C4a (-217/251 : 20619/251 : 1)
**u= 101/40 ; 31994599*x^2 - 8080*y^2 + 32015001*z^2
; C3a (-616/18181 : 4580341/72724 : 1)  C4a (14091/7156 : 3978947/28624 : 1)
**u= 101/45 ; 40495874*x^2 - 9090*y^2 + 40516276*z^2
; C3a (-87397/488 : -5833467/488 : 1)  C4a (142518/33703 : 29331503/101109 : 1)
**u= 101/52 ; 54077911*x^2 - 10504*y^2 + 54098313*z^2
; C3a (-56629/16379 : 4229836/16379 : 1)  C4a (1161339/360071 : -87256409/360071 : 1)
**u= 101/55 ; 60498874*x^2 - 11110*y^2 + 60519276*z^2
; C3a (-171861/19891 : -12766869/19891 : 1)  C4a (30513/31723 : -3248333/31723 : 1)
**u= 101/63 ; 79381706*x^2 - 12726*y^2 + 79402108*z^2
; C3a (944781/1600009 : 440303899/4800027 : 1)  C4a (-506449/224981 : -43772943/224981 : 1)
**u= 101/64 ; 81922087*x^2 - 12928*y^2 + 81942489*z^2
; C3a (-9429/62677 : -5046096/62677 : 1)  C4a (788587/238251 : 21861533/79417 : 1)
**u= 101/69 ; 95224082*x^2 - 13938*y^2 + 95244484*z^2
; C3a (2633083/1166074 : -238030617/1166074 : 1)  C4a (328874/83303 : 28044637/83303 : 1)
**u= 101/76 ; 115527127*x^2 - 15352*y^2 + 115547529*z^2
; C3a (41220199/3401763 : 3587928233/3401763 : 1)  C4a (-309013/46021 : 27104252/46021 : 1)
**u= 101/87 ; 151392506*x^2 - 17574*y^2 + 151412908*z^2
; C3a (4057343/1728527 : -409335457/1728527 : 1)  C4a (8086571/751601 : -753838121/751601 : 1)
**u= 101/116 ; 269150167*x^2 - 23432*y^2 + 269170569*z^2
; C3a (2517087/829055 : 284025558/829055 : 1)  C4a (-242707/40461 : -8790674/13487 : 1)
**u= 101/127 ; 322618186*x^2 - 25654*y^2 + 322638588*z^2
; C3a (-269051/737935 : -8007677/67085 : 1)  C4a (1450097/1531863 : -78850079/510621 : 1)
**u= 101/136 ; 369965287*x^2 - 27472*y^2 + 369985689*z^2
; C3a (-2701203/829901 : -327929274/829901 : 1)  C4a (16187609/1369617 : -628431057/456539 : 1)
**u= 101/143 ; 409031146*x^2 - 28886*y^2 + 409051548*z^2
; C3a (-141693/422585 : -53038833/422585 : 1)  C4a (27755603/4406277 : 1114754603/1468759 : 1)
**u= 101/157 ; 493043746*x^2 - 31714*y^2 + 493064148*z^2
; C3a (-9948917/2394580 : -1275915989/2394580 : 1)  C4a (8140254/6657389 : -1311202759/6657389 : 1)
**u= 101/160 ; 512066599*x^2 - 32320*y^2 + 512087001*z^2
; C3a (-92543/42857 : -25674095/85714 : 1)  C4a (2346109/705184 : 2466924205/5641472 : 1)
**u= 101/180 ; 648086999*x^2 - 36360*y^2 + 648107401*z^2
; C3a (333889/119919 : -142093696/359757 : 1)  C4a (237219/168269 : -116488520/504807 : 1)
**u= 101/183 ; 669870266*x^2 - 36966*y^2 + 669890668*z^2
; C3a (4247659/28411 : 571812283/28411 : 1)  C4a (255239/6371099 : 858334797/6371099 : 1)
**u= 101/196 ; 768425047*x^2 - 39592*y^2 + 768445449*z^2
; C3a (748141/186483 : 751913714/1305381 : 1)  C4a (334221/198383 : 379029793/1388681 : 1)
**u= 109/2 ; 68131*x^2 - 436*y^2 + 91893*z^2
; C3a (-3088/207 : -77437/414 : 1)  C4a (-3883/1372 : 117847/2744 : 1)
**u= 109/18 ; 6469091*x^2 - 3924*y^2 + 6492853*z^2
; C3a (12891/67495 : 8384906/202485 : 1)  C4a (38357/33063 : -6174904/99189 : 1)
**u= 109/22 ; 9669571*x^2 - 4796*y^2 + 9693333*z^2
; C3a (17256993/48482 : 1549747173/96964 : 1)  C4a (101681/294099 : 358318/7541 : 1)
**u= 109/33 ; 21771386*x^2 - 7194*y^2 + 21795148*z^2
; C3a (64633/20188 : 532169/2884 : 1)  C4a (-369544/111539 : -21245819/111539 : 1)
**u= 109/38 ; 28872451*x^2 - 8284*y^2 + 28896213*z^2
; C3a (-4505141/237050 : 532673419/474100 : 1)  C4a (266721/217739 : -20332016/217739 : 1)
**u= 109/65 ; 84500794*x^2 - 14170*y^2 + 84524556*z^2
; C3a (-5388073/1817298 : -62731075/259614 : 1)  C4a (1192758/944897 : -117518317/944897 : 1)
**u= 109/78 ; 121686371*x^2 - 17004*y^2 + 121710133*z^2
; C3a (-503989/83039 : -43209964/83039 : 1)  C4a (-11927684/131311 : -2018367533/262622 : 1)
**u= 109/90 ; 162012419*x^2 - 19620*y^2 + 162036181*z^2
; C3a (-87586/159779 : -33117103/319558 : 1)  C4a (14524151/429566 : -2640991997/859132 : 1)
**u= 109/122 ; 297712771*x^2 - 26596*y^2 + 297736533*z^2
; C3a (-157262/639223 : 139299637/1278446 : 1)  C4a (6273625/376229 : 664975954/376229 : 1)
**u= 109/129 ; 332858042*x^2 - 28122*y^2 + 332881804*z^2
; C3a (-105623/41050 : -12328587/41050 : 1)  C4a (733318/133339 : 81091807/133339 : 1)
**u= 109/137 ; 375424426*x^2 - 29866*y^2 + 375448188*z^2
; C3a (-21547/54762 : -6598121/54762 : 1)  C4a (-1813680/760687 : 220511953/760687 : 1)
**u= 109/150 ; 450055619*x^2 - 32700*y^2 + 450079381*z^2
; C3a (42274157/21278543 : -427101042/1636811 : 1)  C4a (-44291/7543 : 26355082/37715 : 1)
**u= 109/170 ; 578074819*x^2 - 37060*y^2 + 578098581*z^2
; C3a (-176249/976181 : -123892204/976181 : 1)  C4a (-2430051/3423746 : 1048730213/6847492 : 1)
**u= 109/177 ; 626662106*x^2 - 38586*y^2 + 626685868*z^2
; C3a (536671/254474 : -75692157/254474 : 1)  C4a (-816814/1656289 : 235348317/1656289 : 1)
**u= 109/193 ; 745079866*x^2 - 42074*y^2 + 745103628*z^2
; C3a (1745547/513242 : -242120817/513242 : 1)  C4a (3905290/817227 : -176986373/272409 : 1)
**u= 109/198 ; 784185731*x^2 - 43164*y^2 + 784209493*z^2
; C3a (1651439/1450469 : 296261354/1450469 : 1)  C4a (106086/1142671 : -928078651/6856026 : 1)
**u= 113 ; 7234*x^2 - 226*y^2 + 32772*z^2
; C3a (-5779/664 : 33659/664 : 1)  C4a (-282/1307 : -8137/1307 : 1)
**u= 113/4 ; 307279*x^2 - 904*y^2 + 332817*z^2
; C3a (-20513/7567 : 57872/1081 : 1)  C4a (2765/2369 : 68719/2369 : 1)
**u= 113/9 ; 1607474*x^2 - 2034*y^2 + 1633012*z^2
; C3a (-2019/2146 : -249541/6438 : 1)  C4a (-6062/32127 : 2758057/96381 : 1)
**u= 113/16 ; 5107999*x^2 - 3616*y^2 + 5133537*z^2
; C3a (-951219/683875 : -44069427/683875 : 1)  C4a (-76867/9087 : 1944203/6058 : 1)
**u= 113/19 ; 7208314*x^2 - 4294*y^2 + 7233852*z^2
; C3a (153073/141863 : -8557901/141863 : 1)  C4a (-6571/13531 : 616513/13531 : 1)
**u= 113/20 ; 7988431*x^2 - 4520*y^2 + 8013969*z^2
; C3a (-54621/96211 : 4656684/96211 : 1)  C4a (46727/232407 : 3322168/77469 : 1)
**u= 113/25 ; 12489106*x^2 - 5650*y^2 + 12514644*z^2
; C3a (740601/6189560 : 1466882691/30947800 : 1)  C4a (-38/5 : 9019/25 : 1)
**u= 113/27 ; 14569418*x^2 - 6102*y^2 + 14594956*z^2
; C3a (-239917/73745 : -36796303/221235 : 1)  C4a (-37151/14063 : 5827571/42189 : 1)
**u= 113/33 ; 21770498*x^2 - 7458*y^2 + 21796036*z^2
; C3a (-179341/41660 : -9947819/41660 : 1)  C4a (42718/53509 : 3700137/53509 : 1)
**u= 113/36 ; 25911119*x^2 - 8136*y^2 + 25936657*z^2
; C3a (74239/44831 : -4894854/44831 : 1)  C4a (4759/120201 : -20366078/360603 : 1)
**u= 113/43 ; 36972778*x^2 - 9718*y^2 + 36998316*z^2
; C3a (6431/50587 : 3146447/50587 : 1)  C4a (16232775/3697037 : 1027233293/3697037 : 1)
**u= 113/51 ; 52015034*x^2 - 11526*y^2 + 52040572*z^2
; C3a (1439653/1354687 : 132812857/1354687 : 1)  C4a (298249/267649 : -26924109/267649 : 1)
**u= 113/75 ; 112504106*x^2 - 16950*y^2 + 112529644*z^2
; C3a (-630517/257521 : 25222101/117055 : 1)  C4a (-18469/1993 : -7567901/9965 : 1)
**u= 113/83 ; 137787898*x^2 - 18758*y^2 + 137813436*z^2
; C3a (55623/179 : 4767261/179 : 1)  C4a (19516075/2849343 : 563511721/949781 : 1)
**u= 113/88 ; 154890463*x^2 - 19888*y^2 + 154916001*z^2
; C3a (-108263/9470 : -38362973/37880 : 1)  C4a (-661035/509629 : 73664579/509629 : 1)
**u= 113/91 ; 165632074*x^2 - 20566*y^2 + 165657612*z^2
; C3a (693001/146819 : 63572129/146819 : 1)  C4a (-4936689/3661121 : -551593889/3661121 : 1)
**u= 113/99 ; 196036634*x^2 - 22374*y^2 + 196062172*z^2
; C3a (11405621/1586801 : -1077901647/1586801 : 1)  C4a (-4280853/49627 : 1202280587/148881 : 1)
**u= 113/144 ; 414769439*x^2 - 32544*y^2 + 414794977*z^2
; C3a (-3691717/624107 : 422683901/624107 : 1)  C4a (390419/333071 : -115873269/666142 : 1)
**u= 113/153 ; 468237458*x^2 - 34578*y^2 + 468262996*z^2
; C3a (-847427/312636 : 315331463/937908 : 1)  C4a (-292452/151639 : 115006859/454917 : 1)
**u= 113/155 ; 480559306*x^2 - 35030*y^2 + 480584844*z^2
; C3a (560016981/44050259 : 65795181531/44050259 : 1)  C4a (54100267/5476587 : 2123033817/1825529 : 1)
**u= 113/160 ; 512064031*x^2 - 36160*y^2 + 512089569*z^2
; C3a (22006/16289 : -26064851/130312 : 1)  C4a (-39019/46611 : -4822501/31074 : 1)
**u= 113/163 ; 531446938*x^2 - 36838*y^2 + 531472476*z^2
; C3a (-3628073/5875479 : 829423981/5875479 : 1)  C4a (-28915323/136819 : -3473163887/136819 : 1)
**u= 113/172 ; 591755983*x^2 - 38872*y^2 + 591781521*z^2
; C3a (-15827/82385 : 10350941/82385 : 1)  C4a (2891585/117827 : -357074191/117827 : 1)
**u= 113/192 ; 737377823*x^2 - 43392*y^2 + 737403361*z^2
; C3a (-55399/56483 : -5893477/32276 : 1)  C4a (-7890281/3655147 : 4534350163/14620588 : 1)
**u= 113/195 ; 760601306*x^2 - 44070*y^2 + 760626844*z^2
; C3a (-4603/3953 : 797105/3953 : 1)  C4a (25663/11233 : -3680309/11233 : 1)
**u= 116/3 ; 166571*x^2 - 696*y^2 + 193483*z^2
; C3a (26099/13265 : -920727/26530 : 1)  C4a (-8281/44069 : -1391191/88138 : 1)
**u= 116/39 ; 30411107*x^2 - 9048*y^2 + 30438019*z^2
; C3a (-191041/73847 : 23749857/147694 : 1)  C4a (56431/123953 : -15792859/247906 : 1)
**u= 116/43 ; 36972091*x^2 - 9976*y^2 + 36999003*z^2
; C3a (-222967/84483 : 29032217/168966 : 1)  C4a (-2250523/71047 : -274249843/142094 : 1)
**u= 116/67 ; 89780011*x^2 - 15544*y^2 + 89806923*z^2
; C3a (-471267/634345 : -120127317/1268690 : 1)  C4a (2194823/10683 : -111221027/7122 : 1)
**u= 116/79 ; 124825267*x^2 - 18328*y^2 + 124852179*z^2
; C3a (390629/1032267 : 182187227/2064534 : 1)  C4a (1464027/576541 : 259728607/1153082 : 1)
**u= 116/127 ; 322614931*x^2 - 29464*y^2 + 322641843*z^2
; C3a (1386107/1170715 : -379712597/2341430 : 1)  C4a (2252461/465571 : -481377083/931142 : 1)
**u= 116/167 ; 557850211*x^2 - 38744*y^2 + 557877123*z^2
; C3a (-23674203/5449595 : -5830075497/10899190 : 1)  C4a (-8289605/947499 : 667464267/631666 : 1)
**u= 116/199 ; 792125347*x^2 - 46168*y^2 + 792152259*z^2
; C3a (-13180163/1406139 : 3472440989/2812278 : 1)  C4a (-220243/139549 : -68305417/279098 : 1)
**u= 117/4 ; 306359*x^2 - 936*y^2 + 333737*z^2
; C3a (47439/2701 : -2579287/8103 : 1)  C4a (-2459/939 : 148328/2817 : 1)
**u= 117/16 ; 5107079*x^2 - 3744*y^2 + 5134457*z^2
; C3a (-190701/35561 : 42991663/213366 : 1)  C4a (-115327/5583 : -12827357/16749 : 1)
**u= 117/20 ; 7987511*x^2 - 4680*y^2 + 8014889*z^2
; C3a (14270147/1450567 : 1777756811/4351701 : 1)  C4a (255121/58831 : 32501726/176493 : 1)
**u= 117/23 ; 10567898*x^2 - 5382*y^2 + 10595276*z^2
; C3a (-614773/139271 : -7618349/37983 : 1)  C4a (-82621/90073 : -16257989/270219 : 1)
**u= 117/37 ; 27370418*x^2 - 8658*y^2 + 27397796*z^2
; C3a (-10731/50800 : 8762023/152400 : 1)  C4a (-938414/45897 : 158556137/137691 : 1)
**u= 117/40 ; 31991111*x^2 - 9360*y^2 + 32018489*z^2
; C3a (-207/4633 : -19847/339 : 1)  C4a (-101967/66743 : -21380557/200229 : 1)
**u= 117/44 ; 38712119*x^2 - 10296*y^2 + 38739497*z^2
; C3a (-5393/3253 : -1158679/9759 : 1)  C4a (-237821/19271 : -43907057/57813 : 1)
**u= 117/53 ; 56174738*x^2 - 12402*y^2 + 56202116*z^2
; C3a (-97931/868312 : 176470007/2604936 : 1)  C4a (-10978/35291 : -7462357/105873 : 1)
**u= 117/55 ; 60495386*x^2 - 12870*y^2 + 60522764*z^2
; C3a (2730267/68597 : -561739961/205791 : 1)  C4a (-213783/144817 : -53118085/434451 : 1)
**u= 117/79 ; 124825034*x^2 - 18486*y^2 + 124852412*z^2
; C3a (-472783/821553 : 233689361/2464659 : 1)  C4a (1405671/1549609 : -515786857/4648827 : 1)
**u= 117/88 ; 154889543*x^2 - 20592*y^2 + 154916921*z^2
; C3a (-393623/62316 : -414762781/747792 : 1)  C4a (13865/9993 : -4447058/29979 : 1)
**u= 117/95 ; 180513386*x^2 - 22230*y^2 + 180540764*z^2
; C3a (1793521/3105281 : 969488713/9315843 : 1)  C4a (649081/2321 : 175485337/6963 : 1)
**u= 117/119 ; 283248794*x^2 - 27846*y^2 + 283276172*z^2
; C3a (-28619/84431 : 26975023/253293 : 1)  C4a (-3401/2549 : 1286017/7647 : 1)
**u= 117/125 ; 312533186*x^2 - 29250*y^2 + 312560564*z^2
; C3a (-67/3058 : 948565/9174 : 1)  C4a (68672/136127 : 236405807/2041905 : 1)
**u= 117/128 ; 327715463*x^2 - 29952*y^2 + 327742841*z^2
; C3a (-3593/19319 : 6166561/57957 : 1)  C4a (-104749/85682 : -679479559/4112736 : 1)
**u= 117/140 ; 392045111*x^2 - 32760*y^2 + 392072489*z^2
; C3a (411461/3282581 : -1085757812/9847743 : 1)  C4a (-4108171/1553009 : 1441399591/4659027 : 1)
**u= 117/151 ; 456074714*x^2 - 35334*y^2 + 456102092*z^2
; C3a (-39945671/15402171 : -14591904139/46206513 : 1)  C4a (-210969/413869 : -158331271/1241607 : 1)
**u= 117/164 ; 537986999*x^2 - 38376*y^2 + 538014377*z^2
; C3a (99478229/1273471 : -35337915013/3820413 : 1)  C4a (26268709/11133559 : 10134426673/33400677 : 1)
**u= 121/8 ; 1265551*x^2 - 1936*y^2 + 1294833*z^2
; C3a (772/397 : -978941/17468 : 1)  C4a (565/427 : -200638/4697 : 1)
**u= 121/9 ; 1605602*x^2 - 2178*y^2 + 1634884*z^2
; C3a (-701/450 : -748351/14850 : 1)  C4a (780/619 : 897181/20427 : 1)
**u= 121/16 ; 5106127*x^2 - 3872*y^2 + 5135409*z^2
; C3a (-16221/7927 : 14431839/174394 : 1)  C4a (5893/8709 : 1401416/31933 : 1)
**u= 121/20 ; 7986559*x^2 - 4840*y^2 + 8015841*z^2
; C3a (2421/3451 : 269424/5423 : 1)  C4a (8267/423 : 411733/517 : 1)
**u= 121/32 ; 20468431*x^2 - 7744*y^2 + 20497713*z^2
; C3a (-656/679 : -4273007/59752 : 1)  C4a (29145/14816 : 148001681/1303808 : 1)
**u= 121/35 ; 24489034*x^2 - 8470*y^2 + 24518316*z^2
; C3a (4079/41669 : 24778661/458359 : 1)  C4a (3699/3839 : -3154117/42229 : 1)
**u= 121/36 ; 25909247*x^2 - 8712*y^2 + 25938529*z^2
; C3a (-22609/1437 : -40769951/47421 : 1)  C4a (-1831/1993 : 1623924/21923 : 1)
**u= 121/43 ; 36970906*x^2 - 10406*y^2 + 37000188*z^2
; C3a (24243/15145 : 18744123/166595 : 1)  C4a (15091/4431 : 3438691/16247 : 1)
**u= 121/51 ; 52013162*x^2 - 12342*y^2 + 52042444*z^2
; C3a (6869/19687 : 14893297/216557 : 1)  C4a (517/211 : 398847/2321 : 1)
**u= 121/52 ; 54073471*x^2 - 12584*y^2 + 54102753*z^2
; C3a (-457719/24919 : -330534954/274109 : 1)  C4a (-108191/879 : 26012208/3223 : 1)
**u= 121/59 ; 69615802*x^2 - 14278*y^2 + 69645084*z^2
; C3a (50807/9861 : -39752953/108471 : 1)  C4a (117629/39277 : -95271467/432047 : 1)
**u= 121/60 ; 71996159*x^2 - 14520*y^2 + 72025441*z^2
; C3a (7941581/994781 : -6199449160/10942591 : 1)  C4a (2763581/56621 : -2141487944/622831 : 1)
**u= 121/65 ; 84498034*x^2 - 15730*y^2 + 84527316*z^2
; C3a (140121/279494 : -252099447/3074434 : 1)  C4a (72708/6733 : 58879295/74063 : 1)
**u= 121/72 ; 103680911*x^2 - 17424*y^2 + 103710193*z^2
; C3a (-5624/4175 : -23774627/183700 : 1)  C4a (-8357/12228 : -150817259/1614096 : 1)
**u= 121/81 ; 131225042*x^2 - 19602*y^2 + 131254324*z^2
; C3a (-47897/21826 : -142121333/720258 : 1)  C4a (466/403 : -1663577/13299 : 1)
**u= 121/92 ; 169290751*x^2 - 22264*y^2 + 169320033*z^2
; C3a (274751/227739 : -342316529/2505129 : 1)  C4a (-563209/36171 : 180462613/132627 : 1)
**u= 121/105 ; 220518434*x^2 - 25410*y^2 + 220547716*z^2
; C3a (-223121/19184 : 229484227/211024 : 1)  C4a (109372/907 : -112088929/9977 : 1)
**u= 121/107 ; 228999706*x^2 - 25894*y^2 + 229028988*z^2
; C3a (57541/341305 : 358068493/3754355 : 1)  C4a (29531/85171 : 93251699/936881 : 1)
**u= 121/113 ; 255403666*x^2 - 27346*y^2 + 255432948*z^2
; C3a (-19/320 : -340799/3520 : 1)  C4a (320570/99881 : 356963351/1098691 : 1)
**u= 121/124 ; 307551487*x^2 - 30008*y^2 + 307580769*z^2
; C3a (62853/9749 : 70830768/107239 : 1)  C4a (136115/107049 : -64282021/392513 : 1)
**u= 121/131 ; 343256842*x^2 - 31702*y^2 + 343286124*z^2
; C3a (-3421/72297 : 82848257/795267 : 1)  C4a (-4927/16819 : 20060353/185009 : 1)
**u= 121/147 ; 432230186*x^2 - 35574*y^2 + 432259468*z^2
; C3a (-4639/10519 : -13939979/115709 : 1)  C4a (441953/53 : -3751221609/4081 : 1)
**u= 121/152 ; 462134671*x^2 - 36784*y^2 + 462163953*z^2
; C3a (2538607/173582 : 12549195823/7637608 : 1)  C4a (1178751/106049 : 1459263584/1166539 : 1)
**u= 121/156 ; 486778367*x^2 - 37752*y^2 + 486807649*z^2
; C3a (308587/33559 : 387720871/369149 : 1)  C4a (498185/249131 : 695757451/2740441 : 1)
**u= 121/179 ; 640901482*x^2 - 43318*y^2 + 640930764*z^2
; C3a (-970687/355345 : -1383067051/3908795 : 1)  C4a (8829/7397 : -15411367/81367 : 1)
**u= 122/3 ; 165143*x^2 - 732*y^2 + 194911*z^2
; C3a (148/19 : -4489/38 : 1)  C4a (-3236/2473 : 129121/4946 : 1)
**u= 122/31 ; 19207999*x^2 - 7564*y^2 + 19237767*z^2
; C3a (-17798/79573 : 8223973/159146 : 1)  C4a (20722/13313 : 2483693/26626 : 1)
**u= 122/39 ; 30409679*x^2 - 9516*y^2 + 30439447*z^2
; C3a (-43097/18458 : 5301031/36916 : 1)  C4a (-898309/157694 : -103164713/315388 : 1)
**u= 122/55 ; 60494191*x^2 - 13420*y^2 + 60523959*z^2
; C3a (682489/29354 : 91729231/58708 : 1)  C4a (189774/211 : 25489093/422 : 1)
**u= 122/83 ; 137785783*x^2 - 20252*y^2 + 137815551*z^2
; C3a (-49863/185276 : -31655241/370552 : 1)  C4a (830908/1122819 : 76813359/748546 : 1)
**u= 122/115 ; 264524791*x^2 - 28060*y^2 + 264554559*z^2
; C3a (893587/647188 : 214257235/1294376 : 1)  C4a (-337/1112 : 225635/2224 : 1)
**u= 122/127 ; 322613503*x^2 - 30988*y^2 + 322643271*z^2
; C3a (-147195907/11033266 : 30122218553/22066532 : 1)  C4a (-34228882/2881661 : -7010043769/5763322 : 1)
**u= 122/175 ; 612576991*x^2 - 42700*y^2 + 612606759*z^2
; C3a (14197814/224813 : -17007572279/2248130 : 1)  C4a (-387559/433142 : 696161333/4331420 : 1)
**u= 125 ; 4378*x^2 - 250*y^2 + 35628*z^2
; C3a (-77/26 : -2237/130 : 1)  C4a (-222/11 : 13253/55 : 1)
**u= 125/14 ; 3904963*x^2 - 3500*y^2 + 3936213*z^2
; C3a (-543/451 : 576/11 : 1)  C4a (-6929/3123 : -424514/5205 : 1)
**u= 125/33 ; 21767642*x^2 - 8250*y^2 + 21798892*z^2
; C3a (29/722 : 37143/722 : 1)  C4a (29932/54979 : 16080009/274895 : 1)
**u= 125/34 ; 23107843*x^2 - 8500*y^2 + 23139093*z^2
; C3a (-6089/14107 : -4007932/70535 : 1)  C4a (67/16 : -35939/160 : 1)
**u= 125/41 ; 33609418*x^2 - 10250*y^2 + 33640668*z^2
; C3a (591249/109048 : 172139067/545240 : 1)  C4a (-11206/3867 : 226365/1289 : 1)
**u= 125/49 ; 48011578*x^2 - 12250*y^2 + 48042828*z^2
; C3a (-723/826 : 2405733/28910 : 1)  C4a (3214/1803 : -2692271/21035 : 1)
**u= 125/58 ; 67274467*x^2 - 14500*y^2 + 67305717*z^2
; C3a (-75186/24313 : -53825007/243130 : 1)  C4a (-44587/16254 : -10777343/54180 : 1)
**u= 125/94 ; 176730883*x^2 - 23500*y^2 + 176762133*z^2
; C3a (23447/29604 : 6550279/59208 : 1)  C4a (-987284/157683 : -289034853/525610 : 1)
**u= 125/97 ; 188192602*x^2 - 24250*y^2 + 188223852*z^2
; C3a (164009/64972 : 77703803/324860 : 1)  C4a (9986/577 : -881245/577 : 1)
**u= 125/106 ; 224738083*x^2 - 26500*y^2 + 224769333*z^2
; C3a (2338/14051 : -13118447/140510 : 1)  C4a (14051/2338 : -13118447/23380 : 1)
**u= 125/114 ; 259943363*x^2 - 28500*y^2 + 259974613*z^2
; C3a (-8701/24623 : 12471026/123115 : 1)  C4a (24623/8701 : 12471026/43505 : 1)
**u= 125/129 ; 332854298*x^2 - 32250*y^2 + 332885548*z^2
; C3a (48481/19112 : -26471219/95560 : 1)  C4a (-1676/2323 : -1455079/11615 : 1)
**u= 125/174 ; 605595203*x^2 - 43500*y^2 + 605626453*z^2
; C3a (-26407/33739 : -25276588/168695 : 1)  C4a (-1127501/369073 : 699917424/1845365 : 1)
**u= 125/177 ; 626658362*x^2 - 44250*y^2 + 626689612*z^2
; C3a (1047029/1933268 : -1308221457/9666340 : 1)  C4a (2974976/1403747 : 1957361751/7018735 : 1)
**u= 136/31 ; 19204387*x^2 - 8432*y^2 + 19241379*z^2
; C3a (-19418082/6041179 : 3882396699/24164716 : 1)  C4a (360025/37302 : -23053581/49736 : 1)
**u= 136/59 ; 69611947*x^2 - 16048*y^2 + 69648939*z^2
; C3a (-3075932/118859 : -810946723/475436 : 1)  C4a (115649/27208 : 31306943/108832 : 1)
**u= 136/63 ; 79373411*x^2 - 17136*y^2 + 79410403*z^2
; C3a (723934/11859 : 591318281/142308 : 1)  C4a (-1213935/345266 : 1030966733/4143192 : 1)
**u= 136/95 ; 180508579*x^2 - 25840*y^2 + 180545571*z^2
; C3a (-101514/433919 : -148999359/1735676 : 1)  C4a (-42581/400674 : 44902631/534232 : 1)
**u= 136/99 ; 196030907*x^2 - 26928*y^2 + 196067899*z^2
; C3a (-2529279/38831612 : -39846207383/465979344 : 1)  C4a (444155/85764 : 463195891/1029168 : 1)
**u= 136/147 ; 432226331*x^2 - 39984*y^2 + 432263323*z^2
; C3a (620224/144091 : -264811441/576364 : 1)  C4a (93407/55792 : -316749781/1562176 : 1)
**u= 136/167 ; 557845171*x^2 - 45424*y^2 + 557882163*z^2
; C3a (-24642/119665 : -4166103/36820 : 1)  C4a (2841293/39958 : -1259643073/159832 : 1)
**u= 136/171 ; 584889227*x^2 - 46512*y^2 + 584926219*z^2
; C3a (-110027/489476 : -17310887/150608 : 1)  C4a (2398877/1357784 : 1236459003/5431136 : 1)
**u= 137 ; 1234*x^2 - 274*y^2 + 38772*z^2
; C3a (1551/16 : 3297/16 : 1)  C4a (2674/8881 : 36973/8881 : 1)
**u= 137/4 ; 301279*x^2 - 1096*y^2 + 338817*z^2
; C3a (9497/1797 : 160597/1797 : 1)  C4a (7295/7921 : 183572/7921 : 1)
**u= 137/9 ; 1601474*x^2 - 2466*y^2 + 1639012*z^2
; C3a (-1119/440 : 92069/1320 : 1)  C4a (122602/16647 : -9567319/49941 : 1)
**u= 137/27 ; 14563418*x^2 - 7398*y^2 + 14600956*z^2
; C3a (-27307/395 : -1211697/395 : 1)  C4a (19669/5197 : 903719/5197 : 1)
**u= 137/28 ; 15663583*x^2 - 7672*y^2 + 15701121*z^2
; C3a (-12153/1891 : -555753/1891 : 1)  C4a (80237/33449 : 3931909/33449 : 1)
**u= 137/35 ; 24484906*x^2 - 9590*y^2 + 24522444*z^2
; C3a (-4970451/2351821 : -277885683/2351821 : 1)  C4a (-1025197/324693 : 18125303/108231 : 1)
**u= 137/43 ; 36966778*x^2 - 11782*y^2 + 37004316*z^2
; C3a (-775861/887637 : -66055159/887637 : 1)  C4a (752102297/12771391 : -42155683829/12771391 : 1)
**u= 137/48 ; 46068143*x^2 - 13152*y^2 + 46105681*z^2
; C3a (-101047/184685 : 24926757/369370 : 1)  C4a (27017/68971 : 8768437/137942 : 1)
**u= 137/60 ; 71992031*x^2 - 16440*y^2 + 72029569*z^2
; C3a (57751/32471 : 4384582/32471 : 1)  C4a (-379153/240707 : 29724979/240707 : 1)
**u= 137/91 ; 165626074*x^2 - 24934*y^2 + 165663612*z^2
; C3a (-186489/364919 : -33403323/364919 : 1)  C4a (211865/288383 : -29166077/288383 : 1)
**u= 137/99 ; 196030634*x^2 - 27126*y^2 + 196068172*z^2
; C3a (-36154961/603145 : -3073954433/603145 : 1)  C4a (-2446635/1385897 : -717167123/4157691 : 1)
**u= 137/108 ; 233296223*x^2 - 29592*y^2 + 233333761*z^2
; C3a (2588008013/680033585 : -712777082093/2040100755 : 1)  C4a (-7138699/298907 : -1903365824/896721 : 1)
**u= 137/136 ; 369956719*x^2 - 37264*y^2 + 369994257*z^2
; C3a (964508/240495 : -396182627/961980 : 1)  C4a (-304835/342048 : -60870571/456064 : 1)
**u= 137/147 ; 432226058*x^2 - 40278*y^2 + 432263596*z^2
; C3a (67777/24559 : -7467831/24559 : 1)  C4a (37 : 26841/7 : 1)
**u= 137/156 ; 486774239*x^2 - 42744*y^2 + 486811777*z^2
; C3a (-406613/226487 : -49669521/226487 : 1)  C4a (2486405/63179 : -265433036/63179 : 1)
**u= 137/163 ; 531440938*x^2 - 44662*y^2 + 531478476*z^2
; C3a (23818727/464035 : -2598719311/464035 : 1)  C4a (282833/1131681 : 42414923/377227 : 1)
**u= 137/171 ; 584888954*x^2 - 46854*y^2 + 584926492*z^2
; C3a (1285733/317873 : -147978241/317873 : 1)  C4a (1054295/1004401 : 162695451/1004401 : 1)
**u= 137/177 ; 626655218*x^2 - 48498*y^2 + 626692756*z^2
; C3a (5415131/137050 : 615744351/137050 : 1)  C4a (-41162/7159 : -4749333/7159 : 1)
**u= 137/192 ; 737371823*x^2 - 52608*y^2 + 737409361*z^2
; C3a (-274001/343633 : 52033488/343633 : 1)  C4a (19298473/626041 : -351695167/96314 : 1)
**u= 137/195 ; 760595306*x^2 - 53430*y^2 + 760632844*z^2
; C3a (-2249627/352843 : 271689131/352843 : 1)  C4a (707737/14707 : -84461851/14707 : 1)
**u= 137/196 ; 768416479*x^2 - 53704*y^2 + 768454017*z^2
; C3a (130387/407437 : -51172534/407437 : 1)  C4a (-7154677/1476727 : -6117195277/10337089 : 1)
**u= 144/35 ; 24482939*x^2 - 10080*y^2 + 24524411*z^2
; C3a (-121199/52751 : -78182755/633012 : 1)  C4a (13571/44581 : -27561803/534972 : 1)
**u= 144/55 ; 60488339*x^2 - 15840*y^2 + 60529811*z^2
; C3a (324981/43601 : 243149857/523212 : 1)  C4a (13199/38499 : 30181165/461988 : 1)
**u= 144/67 ; 89772731*x^2 - 19296*y^2 + 89814203*z^2
; C3a (-156673707/8318885 : -128418489671/99826620 : 1)  C4a (-138975/98473 : -139433719/1181676 : 1)
**u= 144/95 ; 180506339*x^2 - 27360*y^2 + 180547811*z^2
; C3a (175451/376471 : 404875889/4517652 : 1)  C4a (-21523/69487 : -70903993/833844 : 1)
**u= 144/127 ; 322607651*x^2 - 36576*y^2 + 322649123*z^2
; C3a (-401367/314405 : -574609279/3772860 : 1)  C4a (-908655/39019 : 1025055547/468228 : 1)
**u= 144/155 ; 480551339*x^2 - 44640*y^2 + 480592811*z^2
; C3a (621449/519769 : 1008712439/6237228 : 1)  C4a (-14887481/211999 : 18538433491/2543988 : 1)
**u= 144/167 ; 557842931*x^2 - 48096*y^2 + 557884403*z^2
; C3a (1149073/1432973 : 2373837373/17195676 : 1)  C4a (-1647203/855793 : -2399007563/10269516 : 1)
**u= 144/179 ; 640895387*x^2 - 51552*y^2 + 640936859*z^2
; C3a (2326021/117877 : 3116181121/1414524 : 1)  C4a (-2921293/579589 : 3984963589/6955068 : 1)
**u= 144/187 ; 699464171*x^2 - 53856*y^2 + 699505643*z^2
; C3a (4050799/359079 : -794491603/615564 : 1)  C4a (16166353/766497 : -22133976193/9197964 : 1)
**u= 144/191 ; 729708707*x^2 - 55008*y^2 + 729750179*z^2
; C3a (3382859/98423 : 359805149/90852 : 1)  C4a (-3481777/673619 : -4901572793/8083428 : 1)
**u= 144/199 ; 792118067*x^2 - 57312*y^2 + 792159539*z^2
; C3a (2665971/207127 : 3772382431/2485524 : 1)  C4a (-207963/191 : 293393879/2292 : 1)
**u= 145/2 ; 58987*x^2 - 580*y^2 + 101037*z^2
; C3a (2359/1997 : -35506/1997 : 1)  C4a (6071/518 : 160597/1036 : 1)
**u= 145/6 ; 699083*x^2 - 1740*y^2 + 741133*z^2
; C3a (288629/54047 : 841700/7721 : 1)  C4a (-392/209 : -959/22 : 1)
**u= 145/18 ; 6459947*x^2 - 5220*y^2 + 6501997*z^2
; C3a (4697454/560887 : 998589211/3365322 : 1)  C4a (3329/478 : -237375/956 : 1)
**u= 145/26 ; 13501003*x^2 - 7540*y^2 + 13543053*z^2
; C3a (1844/1103 : 181921/2206 : 1)  C4a (403327/170029 : -18545938/170029 : 1)
**u= 145/42 ; 35264267*x^2 - 12180*y^2 + 35306317*z^2
; C3a (-497197/323399 : -31920052/323399 : 1)  C4a (-196099/130367 : 12675804/130367 : 1)
**u= 145/101 ; 204029578*x^2 - 29290*y^2 + 204071628*z^2
; C3a (588227/1176754 : 109809833/1176754 : 1)  C4a (757424/642587 : -82905907/642587 : 1)
**u= 145/117 ; 273800042*x^2 - 33930*y^2 + 273842092*z^2
; C3a (357631/115558 : 33761965/115558 : 1)  C4a (1186988/401521 : 112571033/401521 : 1)
**u= 145/138 ; 380916107*x^2 - 40020*y^2 + 380958157*z^2
; C3a (49619851/5202857 : 442500270/472987 : 1)  C4a (315751/65267 : 31457852/65267 : 1)
**u= 145/149 ; 444065578*x^2 - 43210*y^2 + 444107628*z^2
; C3a (-298299/54982 : 30749535/54982 : 1)  C4a (-855956/164247 : -29453253/54749 : 1)
**u= 145/173 ; 598648762*x^2 - 50170*y^2 + 598690812*z^2
; C3a (-126211/619592 : 69073709/619592 : 1)  C4a (-91022422/378841 : 9943319507/378841 : 1)
**u= 145/182 ; 662558347*x^2 - 52780*y^2 + 662600397*z^2
; C3a (618959/317203 : -77925724/317203 : 1)  C4a (-6691771/1407593 : 766183876/1407593 : 1)
**u= 145/186 ; 692002763*x^2 - 53940*y^2 + 692044813*z^2
; C3a (-22624/18637 : 6640131/37274 : 1)  C4a (32473211/2104247 : 3685926776/2104247 : 1)
**u= 145/194 ; 752811883*x^2 - 56260*y^2 + 752853933*z^2
; C3a (-35373/391039 : 45419790/391039 : 1)  C4a (-10279/178477 : 1590748/13729 : 1)
**u= 146/19 ; 7199767*x^2 - 5548*y^2 + 7242399*z^2
; C3a (57034/39695 : -5011289/79390 : 1)  C4a (23405/87042 : -2165081/58028 : 1)
**u= 146/43 ; 36964231*x^2 - 12556*y^2 + 37006863*z^2
; C3a (949751/2246 : -103063801/4492 : 1)  C4a (215885/66202 : 24516721/132404 : 1)
**u= 146/51 ; 52006487*x^2 - 14892*y^2 + 52049119*z^2
; C3a (-17317/93154 : 238361/3964 : 1)  C4a (-10999927/13285186 : 2038891631/26570372 : 1)
**u= 146/71 ; 100813807*x^2 - 20732*y^2 + 100856439*z^2
; C3a (99/28 : -14349/56 : 1)  C4a (-5314760/800967 : -249918453/533978 : 1)
**u= 146/103 ; 212190511*x^2 - 30076*y^2 + 212233143*z^2
; C3a (-1118504/1940905 : 376346677/3881810 : 1)  C4a (1919323/344968 : -327625087/689936 : 1)
**u= 146/115 ; 264518359*x^2 - 33580*y^2 + 264560991*z^2
; C3a (163549/164814 : 41217119/329628 : 1)  C4a (28478/489973 : -87120857/979946 : 1)
**u= 146/171 ; 584886407*x^2 - 49932*y^2 + 584929039*z^2
; C3a (-296566/217555 : -79616143/435110 : 1)  C4a (4108663/1029846 : 2750705863/6179076 : 1)
**u= 146/183 ; 669859151*x^2 - 53436*y^2 + 669901783*z^2
; C3a (-183127/276020 : 74175809/552040 : 1)  C4a (-4713379/30895676 : 6998399641/61791352 : 1)
**u= 146/195 ; 760592759*x^2 - 56940*y^2 + 760635391*z^2
; C3a (2262739/26314 : -523071655/52628 : 1)  C4a (-986554/220691 : 233686151/441382 : 1)
**u= 149/7 ; 957946*x^2 - 2086*y^2 + 1002348*z^2
; C3a (-5727/12545 : 301137/12545 : 1)  C4a (2349/1291 : -58453/1291 : 1)
**u= 149/24 ; 11499527*x^2 - 7152*y^2 + 11543929*z^2
; C3a (3803/67939 : -2733751/67939 : 1)  C4a (-944/263 : -157459/1052 : 1)
**u= 149/28 ; 15660151*x^2 - 8344*y^2 + 15704553*z^2
; C3a (30959/32891 : 1958311/32891 : 1)  C4a (-18745/3641 : 828382/3641 : 1)
**u= 149/40 ; 31982599*x^2 - 11920*y^2 + 32027001*z^2
; C3a (-53003/127677 : 651361/11607 : 1)  C4a (39941/3376 : 8310797/13504 : 1)
**u= 149/47 ; 44164426*x^2 - 14006*y^2 + 44208828*z^2
; C3a (-119943/27355 : 6908373/27355 : 1)  C4a (-239737/26847 : 1505891/2983 : 1)
**u= 149/52 ; 54065911*x^2 - 15496*y^2 + 54110313*z^2
; C3a (573/25895 : -1530567/25895 : 1)  C4a (163945/1104729 : -21989772/368243 : 1)
**u= 149/56 ; 62707207*x^2 - 16688*y^2 + 62751609*z^2
; C3a (-4399113/11553449 : 758056122/11553449 : 1)  C4a (-81470/107391 : -11018721/143188 : 1)
**u= 149/61 ; 74408962*x^2 - 18178*y^2 + 74453364*z^2
; C3a (-1092683389/24946892 : 69927361229/24946892 : 1)  C4a (-124172/11139 : 2659567/3713 : 1)
**u= 149/64 ; 81910087*x^2 - 19072*y^2 + 81954489*z^2
; C3a (-770011/103525 : 1241869/2525 : 1)  C4a (-284089/14147 : 74583059/56588 : 1)
**u= 149/93 ; 172983746*x^2 - 27714*y^2 + 173028148*z^2
; C3a (1856431/1629790 : 195178973/1629790 : 1)  C4a (-143744/60329 : -12317449/60329 : 1)
**u= 149/96 ; 184325447*x^2 - 28608*y^2 + 184369849*z^2
; C3a (65551/285880 : -188364549/2287040 : 1)  C4a (-864719/1216177 : 119786962/1216177 : 1)
**u= 149/109 ; 237633442*x^2 - 32482*y^2 + 237677844*z^2
; C3a (298937/46384 : 25874921/46384 : 1)  C4a (-8136628/4421371 : -792116357/4421371 : 1)
**u= 149/112 ; 250895431*x^2 - 33376*y^2 + 250939833*z^2
; C3a (-3807653/2888603 : 414393274/2888603 : 1)  C4a (22859525/2991509 : 1999040119/2991509 : 1)
**u= 149/117 ; 273798866*x^2 - 34866*y^2 + 273843268*z^2
; C3a (-777873/395962 : 232051487/1187886 : 1)  C4a (262640/259689 : 98195117/779067 : 1)
**u= 149/119 ; 283240282*x^2 - 35462*y^2 + 283284684*z^2
; C3a (14438127/4517825 : -104004051/347525 : 1)  C4a (15217865/38210331 : -1225264313/12736777 : 1)
**u= 149/148 ; 438123511*x^2 - 44104*y^2 + 438167913*z^2
; C3a (-5871319/950519 : -592807154/950519 : 1)  C4a (-251823/3403 : -25102463/3403 : 1)
**u= 149/165 ; 544559474*x^2 - 49170*y^2 + 544603876*z^2
; C3a (-121511017/6363488 : 12805100383/6363488 : 1)  C4a (1113106/1760071 : -219161901/1760071 : 1)
**u= 149/173 ; 598647586*x^2 - 51554*y^2 + 598691988*z^2
; C3a (25425879/3834476 : -2770857321/3834476 : 1)  C4a (14495234/2910981 : 531079397/970327 : 1)
**u= 149/175 ; 612569674*x^2 - 52150*y^2 + 612614076*z^2
; C3a (3225343/147915 : -1749656321/739575 : 1)  C4a (61883/199783 : -22667573/199783 : 1)
**u= 149/184 ; 677199367*x^2 - 54832*y^2 + 677243769*z^2
; C3a (16299499/2134742 : 7307500873/8538968 : 1)  C4a (51664099/5334877 : 5772279004/5334877 : 1)
**u= 149/199 ; 792116602*x^2 - 59302*y^2 + 792161004*z^2
; C3a (-41616857/3905985 : 4830963193/3905985 : 1)  C4a (-932699/2146627 : 270501859/2146627 : 1)
**u= 153/2 ; 56603*x^2 - 612*y^2 + 103421*z^2
; C3a (-826/1587 : -5767/414 : 1)  C4a (-299/57 : -11776/171 : 1)
**u= 153/22 ; 9658043*x^2 - 6732*y^2 + 9704861*z^2
; C3a (-128701/814208 : 187777091/4885248 : 1)  C4a (-32608/112361 : -26593769/674166 : 1)
**u= 153/26 ; 13498619*x^2 - 7956*y^2 + 13545437*z^2
; C3a (-284259/118039 : -38044132/354117 : 1)  C4a (57569/85584 : 25505249/513504 : 1)
**u= 153/50 ; 49984091*x^2 - 15300*y^2 + 50030909*z^2
; C3a (-1837554/42953 : -3151739219/1288590 : 1)  C4a (-261/214 : 115781/1284 : 1)
**u= 153/58 ; 67266683*x^2 - 17748*y^2 + 67313501*z^2
; C3a (2707/63239 : 1063132/17247 : 1)  C4a (1688093/233569 : -314853836/700707 : 1)
**u= 153/61 ; 74407754*x^2 - 18666*y^2 + 74454572*z^2
; C3a (-13577/11128 : -3325469/33384 : 1)  C4a (72592/143047 : -30385741/429141 : 1)
**u= 153/62 ; 76868123*x^2 - 18972*y^2 + 76914941*z^2
; C3a (710217/813571 : 206261954/2440713 : 1)  C4a (71738/53541 : -34193989/321246 : 1)
**u= 153/77 ; 118574378*x^2 - 23562*y^2 + 118621196*z^2
; C3a (7453/28044 : 150649/2052 : 1)  C4a (-729964/1672983 : -388470941/5018949 : 1)
**u= 153/106 ; 224730299*x^2 - 32436*y^2 + 224777117*z^2
; C3a (-1113292/152083 : -561168457/912498 : 1)  C4a (115187/159548 : -98281513/957288 : 1)
**u= 153/110 ; 242012891*x^2 - 33660*y^2 + 242059709*z^2
; C3a (137043/58558 : 75821519/351348 : 1)  C4a (-2648622/224743 : 1352486653/1348458 : 1)
**u= 153/154 ; 474367739*x^2 - 47124*y^2 + 474414557*z^2
; C3a (135452/147695 : -120642953/886170 : 1)  C4a (211835/57247 : 66051346/171741 : 1)
**u= 153/166 ; 551179259*x^2 - 50796*y^2 + 551226077*z^2
; C3a (952487/591437 : -350373094/1774311 : 1)  C4a (-149310923/9038303 : -46747363834/27114909 : 1)
**u= 153/173 ; 598646378*x^2 - 52938*y^2 + 598693196*z^2
; C3a (29696957/46426230 : 17582428411/139278690 : 1)  C4a (-9480/6263 : 3624851/18789 : 1)
**u= 153/178 ; 633751643*x^2 - 54468*y^2 + 633798461*z^2
; C3a (-2575078/630161 : -245111017/540138 : 1)  C4a (-900775/355282 : 626711417/2131692 : 1)
**u= 153/181 ; 655294874*x^2 - 55386*y^2 + 655341692*z^2
; C3a (69644783/3154252 : 22749571699/9462756 : 1)  C4a (-32098/131707 : -44236219/395121 : 1)
**u= 153/197 ; 776273018*x^2 - 60282*y^2 + 776319836*z^2
; C3a (369207/112910 : -131437703/338730 : 1)  C4a (-42518040/1586911 : 14485159069/4760733 : 1)
**u= 157/12 ; 2855783*x^2 - 3768*y^2 + 2905081*z^2
; C3a (-11201/68353 : 1922822/68353 : 1)  C4a (-22433/5999 : -644412/5999 : 1)
**u= 157/15 ; 4476026*x^2 - 4710*y^2 + 4525324*z^2
; C3a (-87521/72559 : 3512519/72559 : 1)  C4a (-1451/349 : -46245/349 : 1)
**u= 157/21 ; 8796674*x^2 - 6594*y^2 + 8845972*z^2
; C3a (-299687/702832 : -27972969/702832 : 1)  C4a (-6098/52667 : -1936561/52667 : 1)
**u= 157/29 ; 16797874*x^2 - 9106*y^2 + 16847172*z^2
; C3a (63/7342 : -315813/7342 : 1)  C4a (-55240/49411 : 3185797/49411 : 1)
**u= 157/36 ; 25899239*x^2 - 11304*y^2 + 25948537*z^2
; C3a (-7249313/3060227 : 376700971/3060227 : 1)  C4a (-2655/5887 : 927506/17661 : 1)
**u= 157/47 ; 44161978*x^2 - 14758*y^2 + 44211276*z^2
; C3a (-170431/43907 : 418601/1909 : 1)  C4a (324553/165939 : 6649599/55313 : 1)
**u= 157/48 ; 46062263*x^2 - 15072*y^2 + 46111561*z^2
; C3a (-5395207/29819399 : -1676121672/29819399 : 1)  C4a (-485/79 : -54359/158 : 1)
**u= 157/56 ; 62704759*x^2 - 17584*y^2 + 62754057*z^2
; C3a (-63181/220891 : 13724707/220891 : 1)  C4a (6814/6871 : -2311903/27484 : 1)
**u= 157/77 ; 118573138*x^2 - 24178*y^2 + 118622436*z^2
; C3a (2266871/3850068 : 312931343/3850068 : 1)  C4a (-2704626/1061213 : -203499169/1061213 : 1)
**u= 157/80 ; 127994551*x^2 - 25120*y^2 + 128043849*z^2
; C3a (22286689/10328579 : -3506910961/20657158 : 1)  C4a (10921/10471 : 1080095/10471 : 1)
**u= 157/87 ; 151378058*x^2 - 27318*y^2 + 151427356*z^2
; C3a (31231453/154435 : -34700019/2305 : 1)  C4a (-21322415/1933189 : 1594010601/1933189 : 1)
**u= 157/95 ; 180502426*x^2 - 29830*y^2 + 180551724*z^2
; C3a (-2556727/2430393 : 274420889/2430393 : 1)  C4a (102383/99913 : 11128841/99913 : 1)
**u= 157/96 ; 184322999*x^2 - 30144*y^2 + 184372297*z^2
; C3a (-136033/51392 : 90970767/411136 : 1)  C4a (-18716/3629 : 11927861/29032 : 1)
**u= 157/108 ; 233290343*x^2 - 33912*y^2 + 233339641*z^2
; C3a (-6527/7685 : 2508977/23055 : 1)  C4a (73789/27133 : 6521418/27133 : 1)
**u= 157/117 ; 273796418*x^2 - 36738*y^2 + 273845716*z^2
; C3a (-736559/703178 : 12559189/100454 : 1)  C4a (1407840/17701 : -364673407/53103 : 1)
**u= 157/119 ; 283237834*x^2 - 37366*y^2 + 283287132*z^2
; C3a (30730017/358837 : 2675652693/358837 : 1)  C4a (13415/19701 : -230577/2189 : 1)
**u= 157/125 ; 312522226*x^2 - 39250*y^2 + 312571524*z^2
; C3a (-155731/88284 : 79870663/441420 : 1)  C4a (-18338/7933 : -8915029/39665 : 1)
**u= 157/128 ; 327704503*x^2 - 40192*y^2 + 327753801*z^2
; C3a (26029/13363 : 754861/3818 : 1)  C4a (-148309/126858 : 93990939/676576 : 1)
**u= 157/143 ; 409016698*x^2 - 44902*y^2 + 409065996*z^2
; C3a (-3064908983/59271505 : -292574494481/59271505 : 1)  C4a (-9628517/23144509 : 2392497829/23144509 : 1)
**u= 157/160 ; 512052151*x^2 - 50240*y^2 + 512101449*z^2
; C3a (21185949/760381 : 2140226661/760381 : 1)  C4a (-178679/119841 : 14480711/79894 : 1)
**u= 157/168 ; 564540023*x^2 - 52752*y^2 + 564589321*z^2
; C3a (2101/64637 : -6690481/64637 : 1)  C4a (9113086943/295327111 : -943279266841/295327111 : 1)
**u= 157/173 ; 598645138*x^2 - 54322*y^2 + 598694436*z^2
; C3a (40333/398914 : -42092273/398914 : 1)  C4a (-115087676/4334397 : -4030232119/1444799 : 1)
**u= 157/180 ; 648072551*x^2 - 56520*y^2 + 648121849*z^2
; C3a (-45927/95173 : 33948245/285519 : 1)  C4a (95173/45927 : -33948245/137781 : 1)
**u= 160/3 ; 154427*x^2 - 960*y^2 + 205627*z^2
; C3a (-277/946 : -114271/7568 : 1)  C4a (-2578/1219 : 326199/9752 : 1)
**u= 160/19 ; 7195483*x^2 - 6080*y^2 + 7246683*z^2
; C3a (2151/5278 : -1573347/42224 : 1)  C4a (51454/77157 : 8517053/205752 : 1)
**u= 160/23 ; 10555987*x^2 - 7360*y^2 + 10607187*z^2
; C3a (-203576/12923 : 61802293/103384 : 1)  C4a (77356/26687 : 24845753/213496 : 1)
**u= 160/27 ; 14556587*x^2 - 8640*y^2 + 14607787*z^2
; C3a (-427886/94153 : 431633213/2259672 : 1)  C4a (-135169/16342 : -44786025/130736 : 1)
**u= 160/87 ; 151377107*x^2 - 27840*y^2 + 151428307*z^2
; C3a (25669/112988 : 68362109/903904 : 1)  C4a (-1399/4952 : 3035609/39616 : 1)
**u= 160/99 ; 196023803*x^2 - 31680*y^2 + 196075003*z^2
; C3a (-15339/15758 : 41518829/378192 : 1)  C4a (40837/212954 : -136452527/1703632 : 1)
**u= 160/111 ; 246431363*x^2 - 35520*y^2 + 246482563*z^2
; C3a (2540953/112976 : 1694833611/903808 : 1)  C4a (-42247/5816 : 28419637/46528 : 1)
**u= 160/163 ; 531434107*x^2 - 52160*y^2 + 531485307*z^2
; C3a (1787247/201746 : -1452379725/1613968 : 1)  C4a (-200026/240237 : -28048721/213544 : 1)
**u= 162/7 ; 953903*x^2 - 2268*y^2 + 1006391*z^2
; C3a (7064/3445 : -2916547/62010 : 1)  C4a (8476/2897 : -3387107/52146 : 1)
**u= 162/11 ; 2394119*x^2 - 3564*y^2 + 2446607*z^2
; C3a (249/370 : 209627/6660 : 1)  C4a (-66658/7383 : 31624907/132894 : 1)
**u= 162/35 ; 24477431*x^2 - 11340*y^2 + 24529919*z^2
; C3a (-2166/529 : 1864723/9522 : 1)  C4a (659601/50426 : -553806515/907668 : 1)
**u= 162/43 ; 36959303*x^2 - 13932*y^2 + 37011791*z^2
; C3a (-163078/331981 : -343105939/5975658 : 1)  C4a (-651710/72797 : 608385767/1310346 : 1)
**u= 162/47 ; 44160383*x^2 - 15228*y^2 + 44212871*z^2
; C3a (-6152/229365 : 222540241/4128570 : 1)  C4a (2724/20443 : 19991173/367974 : 1)
**u= 162/95 ; 180500831*x^2 - 30780*y^2 + 180553319*z^2
; C3a (-105676/81759 : 184180771/1471662 : 1)  C4a (219353/46548 : 309133771/837864 : 1)
**u= 162/127 ; 322602143*x^2 - 41148*y^2 + 322654631*z^2
; C3a (-377312/266705 : -736441589/4800690 : 1)  C4a (557252/112879 : 69711757/156294 : 1)
**u= 162/131 ; 343245239*x^2 - 42444*y^2 + 343297727*z^2
; C3a (121974/64465 : 223322237/1160370 : 1)  C4a (168330/236057 : -469317841/4249026 : 1)
**u= 162/143 ; 409015103*x^2 - 46332*y^2 + 409067591*z^2
; C3a (32707/41664 : 12797837/107136 : 1)  C4a (13993105/2226384 : 23964672851/40074912 : 1)
**u= 162/151 ; 456062159*x^2 - 48924*y^2 + 456114647*z^2
; C3a (163/592 : -1067177/10656 : 1)  C4a (592/163 : -1067177/2934 : 1)
**u= 162/187 ; 699458663*x^2 - 60588*y^2 + 699511151*z^2
; C3a (-1349653/882566 : -3118834727/15886188 : 1)  C4a (137722/98639 : 327634219/1775502 : 1)
**u= 164/7 ; 953251*x^2 - 2296*y^2 + 1007043*z^2
; C3a (3989/671 : -164971/1342 : 1)  C4a (-235367/62077 : 10177963/124154 : 1)
**u= 164/19 ; 7194187*x^2 - 6232*y^2 + 7247979*z^2
; C3a (10047/12031 : -1067463/24062 : 1)  C4a (-485/637 : 54479/1274 : 1)
**u= 164/27 ; 14555291*x^2 - 8856*y^2 + 14609083*z^2
; C3a (-90619/76835 : 9640597/153670 : 1)  C4a (57941/4541 : -14162983/27246 : 1)
**u= 164/31 ; 19195987*x^2 - 10168*y^2 + 19249779*z^2
; C3a (-13229/46415 : -4199501/92830 : 1)  C4a (-169637/148609 : -19613513/297218 : 1)
**u= 164/39 ; 30397667*x^2 - 12792*y^2 + 30451459*z^2
; C3a (2181341/445217 : -217061281/890434 : 1)  C4a (1093811/285887 : -110314313/571774 : 1)
**u= 164/55 ; 60482179*x^2 - 18040*y^2 + 60535971*z^2
; C3a (29721/163349 : -19235391/326698 : 1)  C4a (-3179683/5010807 : -229110761/3340538 : 1)
**u= 164/63 ; 79365011*x^2 - 20664*y^2 + 79418803*z^2
; C3a (22601/50069 : 6810803/100138 : 1)  C4a (44543/103637 : 13982479/207274 : 1)
**u= 164/139 ; 386451067*x^2 - 45592*y^2 + 386504859*z^2
; C3a (10907/2715 : 2069639/5430 : 1)  C4a (3100491/1729117 : 50286071/266018 : 1)
**u= 164/171 ; 584880827*x^2 - 56088*y^2 + 584934619*z^2
; C3a (-950511/579217 : 682000399/3475302 : 1)  C4a (54990895/24667161 : 36928991843/148002966 : 1)
**u= 164/187 ; 699458011*x^2 - 61336*y^2 + 699511803*z^2
; C3a (-334207/2767 : 71381147/5534 : 1)  C4a (-2118243/1541347 : -559514887/3082694 : 1)
**u= 164/195 ; 760587179*x^2 - 63960*y^2 + 760640971*z^2
; C3a (3656759/1592489 : 869879801/3184978 : 1)  C4a (324821/11651 : 70890641/23302 : 1)
**u= 166/53 ; 56160871*x^2 - 17596*y^2 + 56215983*z^2
; C3a (-14716/1025 : 1666793/2050 : 1)  C4a (232/73 : 27493/146 : 1)
**u= 166/101 ; 204023047*x^2 - 33532*y^2 + 204078159*z^2
; C3a (5623/876 : -887803/1752 : 1)  C4a (32531/7768 : 5218363/15536 : 1)
**u= 166/117 ; 273793511*x^2 - 38844*y^2 + 273848623*z^2
; C3a (-33328/8805 : -17364559/52830 : 1)  C4a (-1800/15529 : 7874863/93174 : 1)
**u= 166/165 ; 544554119*x^2 - 54780*y^2 + 544609231*z^2
; C3a (8812/25807 : -5438063/51614 : 1)  C4a (-444028/157067 : 93922591/314134 : 1)
**u= 169/9 ; 1591682*x^2 - 3042*y^2 + 1648804*z^2
; C3a (-691/420 : -724861/16380 : 1)  C4a (-522/589 : 707623/22971 : 1)
**u= 169/11 ; 2391802*x^2 - 3718*y^2 + 2448924*z^2
; C3a (4309/12647 : 4452307/164411 : 1)  C4a (1335/1063 : -566777/13819 : 1)
**u= 169/12 ; 2851871*x^2 - 4056*y^2 + 2908993*z^2
; C3a (-1693/2753 : 1122153/35789 : 1)  C4a (-2753/1693 : -1122153/22009 : 1)
**u= 169/27 ; 14553626*x^2 - 9126*y^2 + 14610748*z^2
; C3a (-14299/3599 : -22967023/140361 : 1)  C4a (85253/4877 : 133252991/190203 : 1)
**u= 169/33 ; 21754706*x^2 - 11154*y^2 + 21811828*z^2
; C3a (161309/7430 : 92709589/96590 : 1)  C4a (389876/11531 : 224228047/149903 : 1)
**u= 169/36 ; 25895327*x^2 - 12168*y^2 + 25952449*z^2
; C3a (-5687/4761 : 13349968/185679 : 1)  C4a (6025/4423 : 4485592/57499 : 1)
**u= 169/56 ; 62700847*x^2 - 18928*y^2 + 62757969*z^2
; C3a (-1093/1280 : 5038823/66560 : 1)  C4a (-16245/11587 : 14934367/150631 : 1)
**u= 169/57 ; 64961186*x^2 - 19266*y^2 + 65018308*z^2
; C3a (-10727/23302 : 19371447/302926 : 1)  C4a (342730/11161 : 258968823/145093 : 1)
**u= 169/81 ; 131211122*x^2 - 27378*y^2 + 131268244*z^2
; C3a (8101/258 : 65649163/30186 : 1)  C4a (-3402/4591 : 46286177/537147 : 1)
**u= 169/83 ; 137772106*x^2 - 28054*y^2 + 137829228*z^2
; C3a (-15877/2597 : -14656519/33761 : 1)  C4a (12285/22411 : 23284231/291343 : 1)
**u= 169/89 ; 158415202*x^2 - 30082*y^2 + 158472324*z^2
; C3a (-5369/8070 : -9145207/104910 : 1)  C4a (-87790/974853 : 307794503/4224363 : 1)
**u= 169/128 ; 327700591*x^2 - 43264*y^2 + 327757713*z^2
; C3a (-1964/2539 : -58111403/528112 : 1)  C4a (-2539/1964 : 58111403/408512 : 1)
**u= 169/140 ; 392030239*x^2 - 47320*y^2 + 392087361*z^2
; C3a (-909079/236611 : 1111521421/3075943 : 1)  C4a (-66089/188711 : 236593840/2453243 : 1)
**u= 169/147 ; 432216266*x^2 - 49686*y^2 + 432273388*z^2
; C3a (-179/239 : -2534447/21749 : 1)  C4a (825515/69551 : 7031764731/6329141 : 1)
**u= 169/152 ; 462120751*x^2 - 51376*y^2 + 462177873*z^2
; C3a (13773/66730 : -336052221/3469960 : 1)  C4a (-575381/95061 : 18437656/31687 : 1)
**u= 169/163 ; 531431146*x^2 - 55094*y^2 + 531488268*z^2
; C3a (-39801/13721 : 53752203/178373 : 1)  C4a (-4541173/407493 : 1940555717/1765803 : 1)
**u= 169/168 ; 564536111*x^2 - 56784*y^2 + 564593233*z^2
; C3a (1794811/79699 : -2328749343/1036087 : 1)  C4a (13495/39514 : 216494019/2054728 : 1)
**u= 169/180 ; 648068639*x^2 - 60840*y^2 + 648125761*z^2
; C3a (40717/288557 : -391012574/3751241 : 1)  C4a (-20753/9093 : -91203533/354627 : 1)
**u= 169/200 ; 800091439*x^2 - 67600*y^2 + 800148561*z^2
; C3a (-6541/2925 : 50668918/190125 : 1)  C4a (37025/77984 : -2441852503/20275840 : 1)
**u= 170/3 ; 151127*x^2 - 1020*y^2 + 208927*z^2
; C3a (3632/3169 : 126673/6338 : 1)  C4a (-284/677 : 18377/1354 : 1)
**u= 170/39 ; 30395663*x^2 - 13260*y^2 + 30453463*z^2
; C3a (36611/67382 : 7348473/134764 : 1)  C4a (-615623/5686 : -59007865/11372 : 1)
**u= 170/43 ; 36956647*x^2 - 14620*y^2 + 37014447*z^2
; C3a (1931/2748 : 337901/5496 : 1)  C4a (136421/95012 : -16725697/190024 : 1)
**u= 170/87 ; 151373807*x^2 - 29580*y^2 + 151431607*z^2
; C3a (742/911 : -168121/1822 : 1)  C4a (-281278/63749 : 41271271/127498 : 1)
**u= 170/99 ; 196020503*x^2 - 33660*y^2 + 196078303*z^2
; C3a (5141464/356673 : -2359796515/2140038 : 1)  C4a (-1541811/687328 : 773019367/4123968 : 1)
**u= 170/167 ; 557834767*x^2 - 56780*y^2 + 557892567*z^2
; C3a (14916618/7435519 : 472010583/2124434 : 1)  C4a (1615800998/98115519 : -106972789791/65410346 : 1)
**u= 173/6 ; 690179*x^2 - 2076*y^2 + 750037*z^2
; C3a (431/14306 : 544073/28612 : 1)  C4a (7685/4367 : -166366/4367 : 1)
**u= 173/10 ; 1970371*x^2 - 3460*y^2 + 2030229*z^2
; C3a (-2/13 : -49/2 : 1)  C4a (-13/2 : -637/4 : 1)
**u= 173/17 ; 5750938*x^2 - 5882*y^2 + 5810796*z^2
; C3a (-136413/5044 : 4268373/5044 : 1)  C4a (-13006/11187 : -179341/3729 : 1)
**u= 173/25 ; 12471946*x^2 - 8650*y^2 + 12531804*z^2
; C3a (259/40 : 49759/200 : 1)  C4a (-40/259 : 49759/1295 : 1)
**u= 173/33 ; 21753338*x^2 - 11418*y^2 + 21813196*z^2
; C3a (2740453/230176 : 120038621/230176 : 1)  C4a (-1963400/161173 : 86104883/161173 : 1)
**u= 173/46 ; 42296419*x^2 - 15916*y^2 + 42356277*z^2
; C3a (-2793/2152 : -363621/4304 : 1)  C4a (136903/634347 : 3717222/70483 : 1)
**u= 173/58 ; 67260163*x^2 - 20068*y^2 + 67320021*z^2
; C3a (189469/342415 : 22663574/342415 : 1)  C4a (7457/19666 : 2435389/39332 : 1)
**u= 173/70 ; 97984771*x^2 - 24220*y^2 + 98044629*z^2
; C3a (390217/83242 : -50757185/166484 : 1)  C4a (-3069/7991 : 8926/131 : 1)
**u= 173/73 ; 106566058*x^2 - 25258*y^2 + 106625916*z^2
; C3a (-227449/285922 : -23735587/285922 : 1)  C4a (2423116/233043 : -52720927/77681 : 1)
**u= 173/105 ; 220503146*x^2 - 36330*y^2 + 220563004*z^2
; C3a (-238291/451594 : -39783937/451594 : 1)  C4a (21023816/806381 : -1639322189/806381 : 1)
**u= 173/126 ; 317537699*x^2 - 43596*y^2 + 317597557*z^2
; C3a (-620819/521756 : -138425853/1043512 : 1)  C4a (-2193596/709759 : 393566737/1419518 : 1)
**u= 173/138 ; 380907203*x^2 - 47748*y^2 + 380967061*z^2
; C3a (-146674/90847 : -30820161/181694 : 1)  C4a (12937345/1383778 : -2324400961/2767556 : 1)
**u= 173/142 ; 403310563*x^2 - 49132*y^2 + 403370421*z^2
; C3a (986377/868995 : 2905034/21195 : 1)  C4a (662847/612739 : -81787046/612739 : 1)
**u= 173/166 ; 551172739*x^2 - 57436*y^2 + 551232597*z^2
; C3a (30409409/1096050 : 5961721601/2192100 : 1)  C4a (378156486/119684111 : -77714901247/239368222 : 1)
**u= 173/177 ; 626644058*x^2 - 61242*y^2 + 626703916*z^2
; C3a (4151881/4463578 : 616657989/4463578 : 1)  C4a (-5483668/4083359 : 691614489/4083359 : 1)
**u= 178/3 ; 148343*x^2 - 1068*y^2 + 211711*z^2
; C3a (-193826/99403 : -5357949/198806 : 1)  C4a (995/1058 : -37509/2116 : 1)
**u= 178/55 ; 60477391*x^2 - 19580*y^2 + 60540759*z^2
; C3a (191127/169028 : 28366809/338056 : 1)  C4a (-629152/751623 : -36324715/501082 : 1)
**u= 178/83 ; 137768983*x^2 - 29548*y^2 + 137832351*z^2
; C3a (81383/186710 : -27820501/373420 : 1)  C4a (21790/77317 : 10970351/154634 : 1)
**u= 178/143 ; 409009663*x^2 - 50908*y^2 + 409073031*z^2
; C3a (1332213/3590144 : 686528313/7180288 : 1)  C4a (-993880/589047 : 1683943/9578 : 1)
**u= 178/147 ; 432213143*x^2 - 52332*y^2 + 432276511*z^2
; C3a (-6204254/131137 : 7895505271/1835918 : 1)  C4a (391967/530066 : 119827217/1060132 : 1)
**u= 178/179 ; 640884439*x^2 - 63724*y^2 + 640947807*z^2
; C3a (-3344146/1030435 : -701861677/2060870 : 1)  C4a (-32302/97 : 6479197/194 : 1)
**u= 178/191 ; 729697759*x^2 - 67996*y^2 + 729761127*z^2
; C3a (-836945372/52993703 : 24821487607/15141058 : 1)  C4a (106820/80933 : -27767257/161866 : 1)
**u= 181/2 ; 47251*x^2 - 724*y^2 + 112773*z^2
; C3a (-27101284/1425405 : 439324099/2850810 : 1)  C4a (3263/448 : 81769/896 : 1)
**u= 181/9 ; 1587482*x^2 - 3258*y^2 + 1653004*z^2
; C3a (11063/4650 : -797153/13950 : 1)  C4a (-4650/11063 : -797153/33189 : 1)
**u= 181/17 ; 5748106*x^2 - 6154*y^2 + 5813628*z^2
; C3a (40747/75240 : 2626549/75240 : 1)  C4a (130804/6551 : 4025351/6551 : 1)
**u= 181/22 ; 9648691*x^2 - 7964*y^2 + 9714213*z^2
; C3a (-584237601/44884189 : 20395980624/44884189 : 1)  C4a (-293521/617499 : 7937632/205833 : 1)
**u= 181/26 ; 13489267*x^2 - 9412*y^2 + 13554789*z^2
; C3a (-719203/276649 : 29181304/276649 : 1)  C4a (-105/547 : -21088/547 : 1)
**u= 181/42 ; 35252531*x^2 - 15204*y^2 + 35318053*z^2
; C3a (-292781/7225 : -14102352/7225 : 1)  C4a (-96335/24709 : -4793072/24709 : 1)
**u= 181/50 ; 49974739*x^2 - 18100*y^2 + 50040261*z^2
; C3a (262572/76055 : 143648439/760550 : 1)  C4a (-319/8595 : -251078/4775 : 1)
**u= 181/54 ; 58295987*x^2 - 19548*y^2 + 58361509*z^2
; C3a (2622419/254567 : 431648692/763701 : 1)  C4a (-27595/63841 : 11395226/191523 : 1)
**u= 181/57 ; 64956986*x^2 - 20634*y^2 + 65022508*z^2
; C3a (-207667/132908 : 13835707/132908 : 1)  C4a (737068234/51938209 : -41478431389/51938209 : 1)
**u= 181/65 ; 84479914*x^2 - 23530*y^2 + 84545436*z^2
; C3a (5677/36032 : -2186467/36032 : 1)  C4a (-15174/99161 : 6010861/99161 : 1)
**u= 181/66 ; 87100307*x^2 - 23892*y^2 + 87165829*z^2
; C3a (230741/67073 : -14508932/67073 : 1)  C4a (25236601/6256453 : 1570435726/6256453 : 1)
**u= 181/89 ; 158411002*x^2 - 32218*y^2 + 158476524*z^2
; C3a (9391/15710 : -1283597/15710 : 1)  C4a (-36207958/22645339 : -2995020689/22645339 : 1)
**u= 181/94 ; 176713747*x^2 - 34028*y^2 + 176779269*z^2
; C3a (1164129/1958852 : 46923261/559672 : 1)  C4a (166376/811263 : -39786593/540842 : 1)
**u= 181/113 ; 255385546*x^2 - 40906*y^2 + 255451068*z^2
; C3a (84461/16096 : -6793747/16096 : 1)  C4a (-230070/391321 : 35869091/391321 : 1)
**u= 181/114 ; 259926227*x^2 - 41268*y^2 + 259991749*z^2
; C3a (-1989029/1594447 : 202323456/1594447 : 1)  C4a (693673/236476 : -116339237/472952 : 1)
**u= 181/121 ; 292831162*x^2 - 43802*y^2 + 292896684*z^2
; C3a (38769/2050 : -34917681/22550 : 1)  C4a (-292996/341997 : 135019613/1253989 : 1)
**u= 181/122 ; 297691891*x^2 - 44164*y^2 + 297757413*z^2
; C3a (57663/439645 : 36408444/439645 : 1)  C4a (1335783/6278 : -5101517/292 : 1)
**u= 181/129 ; 332837162*x^2 - 46698*y^2 + 332902684*z^2
; C3a (-1645721/1677190 : 198386323/1677190 : 1)  C4a (2578994/1224623 : -241048667/1224623 : 1)
**u= 181/170 ; 578053939*x^2 - 61540*y^2 + 578119461*z^2
; C3a (-876961/381309 : 92681068/381309 : 1)  C4a (-297609/373534 : 92577715/747068 : 1)
**u= 181/174 ; 605578067*x^2 - 62988*y^2 + 605643589*z^2
; C3a (-160573771/1095632 : 31489870317/2191264 : 1)  C4a (-63645133/290471 : -6240930894/290471 : 1)
**u= 181/177 ; 626641226*x^2 - 64074*y^2 + 626706748*z^2
; C3a (-8197307/1340810 : -821435751/1340810 : 1)  C4a (875030/525809 : 100960363/525809 : 1)
**u= 181/182 ; 662546611*x^2 - 65884*y^2 + 662612133*z^2
; C3a (2659081/112030 : 533783249/224060 : 1)  C4a (59016158/7200667 : -11924746211/14401334 : 1)
**u= 181/198 ; 784164851*x^2 - 71676*y^2 + 784230373*z^2
; C3a (553344991/1163779 : 57878031132/1163779 : 1)  C4a (365070/79411 : -234477091/476466 : 1)
**u= 185 ; -14222*x^2 - 370*y^2 + 54228*z^2
; C3a (637/3134 : 37735/3134 : 1)  C4a (-78524/51157 : -896165/51157 : 1)
**u= 185/3 ; 145802*x^2 - 1110*y^2 + 214252*z^2
; C3a (1307/409 : 16021/409 : 1)  C4a (-1189/1103 : 20801/1103 : 1)
**u= 185/4 ; 285823*x^2 - 1480*y^2 + 354273*z^2
; C3a (-54341/26753 : 861167/26753 : 1)  C4a (13811/1087 : -214213/1087 : 1)
**u= 185/16 ; 5086543*x^2 - 5920*y^2 + 5154993*z^2
; C3a (6693/119819 : -505881/17117 : 1)  C4a (4781/2157 : 51534/719 : 1)
**u= 185/19 ; 7186858*x^2 - 7030*y^2 + 7255308*z^2
; C3a (-13967/2069 : 451495/2069 : 1)  C4a (28829/231103 : -7447015/231103 : 1)
**u= 185/27 ; 14547962*x^2 - 9990*y^2 + 14616412*z^2
; C3a (-37319/19637 : 4830209/58911 : 1)  C4a (-519923/57529 : -60024433/172587 : 1)
**u= 185/43 ; 36951322*x^2 - 15910*y^2 + 37019772*z^2
; C3a (152669/38337 : 7586351/38337 : 1)  C4a (10243/10139 : -694897/10139 : 1)
**u= 185/48 ; 46052687*x^2 - 17760*y^2 + 46121137*z^2
; C3a (-214463/2635909 : 269537715/5271818 : 1)  C4a (-3229/467 : 166259/467 : 1)
**u= 185/49 ; 47992978*x^2 - 18130*y^2 + 48061428*z^2
; C3a (-4513/63264 : -3265553/63264 : 1)  C4a (912/2039 : -114937/2039 : 1)
**u= 185/67 ; 89759242*x^2 - 24790*y^2 + 89827692*z^2
; C3a (125539/427843 : 26839381/427843 : 1)  C4a (-155333/10291 : -9370891/10291 : 1)
**u= 185/73 ; 106561762*x^2 - 27010*y^2 + 106630212*z^2
; C3a (-405457/410026 : 36225605/410026 : 1)  C4a (353284/261157 : -2123137/20089 : 1)
**u= 185/81 ; 131205458*x^2 - 29970*y^2 + 131273908*z^2
; C3a (-59/3388 : -672785/10164 : 1)  C4a (-1308314/106117 : -260616691/318351 : 1)
**u= 185/84 ; 141106943*x^2 - 31080*y^2 + 141175393*z^2
; C3a (629513/1097561 : -85270472/1097561 : 1)  C4a (539633/448031 : -47266140/448031 : 1)
**u= 185/96 ; 184313423*x^2 - 35520*y^2 + 184381873*z^2
; C3a (533/9974 : -5757063/79792 : 1)  C4a (-352318/56771 : -15822251/34936 : 1)
**u= 185/97 ; 188174002*x^2 - 35890*y^2 + 188242452*z^2
; C3a (-532059/214162 : 41530815/214162 : 1)  C4a (64052/77471 : -7279151/77471 : 1)
**u= 185/124 ; 307531903*x^2 - 45880*y^2 + 307600353*z^2
; C3a (832783/148181 : -69252455/148181 : 1)  C4a (212189/690717 : 19719642/230239 : 1)
**u= 185/129 ; 332835698*x^2 - 47730*y^2 + 332904148*z^2
; C3a (-1172947/1116674 : -10403437/85898 : 1)  C4a (995644/24317 : -83175885/24317 : 1)
**u= 185/139 ; 386443738*x^2 - 51430*y^2 + 386512188*z^2
; C3a (-492893/83679 : 43336993/83679 : 1)  C4a (-36177561/17483 : -3136264409/17483 : 1)
**u= 185/144 ; 414747983*x^2 - 53280*y^2 + 414816433*z^2
; C3a (1309369/442183 : 121934700/442183 : 1)  C4a (-3094601/479453 : -552624967/958906 : 1)
**u= 185/163 ; 531425482*x^2 - 60310*y^2 + 531493932*z^2
; C3a (710077/2542099 : 35396557/363157 : 1)  C4a (-376103/1803331 : -172921427/1803331 : 1)
**u= 185/172 ; 591734527*x^2 - 63640*y^2 + 591802977*z^2
; C3a (6419437/4491919 : -755514997/4491919 : 1)  C4a (-4138943/125539 : 399312209/125539 : 1)
**u= 193/3 ; 142778*x^2 - 1158*y^2 + 217276*z^2
; C3a (-24617/13609 : -330859/13609 : 1)  C4a (-65471/103 : -896811/103 : 1)
**u= 193/16 ; 5083519*x^2 - 6176*y^2 + 5158017*z^2
; C3a (-133647/2353 : 3834918/2353 : 1)  C4a (1595/1659 : 22086/553 : 1)
**u= 193/24 ; 11484479*x^2 - 9264*y^2 + 11558977*z^2
; C3a (176609/99950 : 28602559/399800 : 1)  C4a (-63917/68077 : -3292836/68077 : 1)
**u= 193/36 ; 25886639*x^2 - 13896*y^2 + 25961137*z^2
; C3a (1891/2631 : -419933/7893 : 1)  C4a (-2631/1891 : 419933/5673 : 1)
**u= 193/44 ; 38688559*x^2 - 16984*y^2 + 38763057*z^2
; C3a (-168073/343075 : -18247727/343075 : 1)  C4a (-298875/134987 : 15664588/134987 : 1)
**u= 193/56 ; 62692159*x^2 - 21616*y^2 + 62766657*z^2
; C3a (-2061/4435 : -263502/4435 : 1)  C4a (33387796/3868551 : -804960379/1719356 : 1)
**u= 193/57 ; 64952498*x^2 - 22002*y^2 + 65026996*z^2
; C3a (-169963/82870 : 10275009/82870 : 1)  C4a (209180/69397 : -11980779/69397 : 1)
**u= 193/60 ; 71973551*x^2 - 23160*y^2 + 72048049*z^2
; C3a (-58897/44693 : 4122369/44693 : 1)  C4a (9215011/35869 : 513973798/35869 : 1)
**u= 193/97 ; 188170978*x^2 - 37442*y^2 + 188245476*z^2
; C3a (84183/594500 : 42573951/594500 : 1)  C4a (1417016/842793 : 38965701/280931 : 1)
**u= 193/104 ; 216315199*x^2 - 40144*y^2 + 216389697*z^2
; C3a (-229591/120655 : -19039651/120655 : 1)  C4a (-205713/491087 : -39084886/491087 : 1)
**u= 193/120 ; 288005951*x^2 - 46320*y^2 + 288080449*z^2
; C3a (-26358011/2954749 : 2091421531/2954749 : 1)  C4a (-51841/255319 : 20543503/255319 : 1)
**u= 193/123 ; 302588138*x^2 - 47478*y^2 + 302662636*z^2
; C3a (8098553/17539951 : -1542466799/17539951 : 1)  C4a (-60425/118171 : 10595931/118171 : 1)
**u= 193/132 ; 348495023*x^2 - 50952*y^2 + 348569521*z^2
; C3a (2021483/1234895 : 195913481/1234895 : 1)  C4a (-8117887/450299 : -672471781/450299 : 1)
**u= 193/137 ; 375399058*x^2 - 52882*y^2 + 375473556*z^2
; C3a (-4776459/518180 : 404799483/518180 : 1)  C4a (26153962/2532879 : -246012651/281431 : 1)
**u= 193/144 ; 414744959*x^2 - 55584*y^2 + 414819457*z^2
; C3a (54353/69743 : -7638306/69743 : 1)  C4a (1723955/133393 : 22980697/20522 : 1)
**u= 193/171 ; 584870474*x^2 - 66006*y^2 + 584944972*z^2
; C3a (244201/39469 : -23285519/39469 : 1)  C4a (743931/69431 : -211009853/208293 : 1)
**u= 193/177 ; 626636738*x^2 - 68322*y^2 + 626711236*z^2
; C3a (-358247/906064 : 93314703/906064 : 1)  C4a (88862/710899 : 68612399/710899 : 1)
**u= 193/195 ; 760576826*x^2 - 75270*y^2 + 760651324*z^2
; C3a (-404653/125747 : 42595415/125747 : 1)  C4a (1660577/12914807 : -1308909189/12914807 : 1)
**u= 196/3 ; 141611*x^2 - 1176*y^2 + 218443*z^2
; C3a (373/1165 : 229557/16310 : 1)  C4a (-149/829 : -130493/11606 : 1)
**u= 196/23 ; 10543171*x^2 - 9016*y^2 + 10620003*z^2
; C3a (-63293/6903 : 30482369/96642 : 1)  C4a (-15269/27281 : 14980247/381934 : 1)
**u= 196/27 ; 14543771*x^2 - 10584*y^2 + 14620603*z^2
; C3a (-2447/985 : 4108337/41370 : 1)  C4a (335/311 : -712681/13062 : 1)
**u= 196/47 ; 44148211*x^2 - 18424*y^2 + 44225043*z^2
; C3a (45469/35975 : -39747797/503650 : 1)  C4a (10487/10957 : 10398443/153398 : 1)
**u= 196/83 ; 137762251*x^2 - 32536*y^2 + 137839083*z^2
; C3a (-20941/4125 : 1767611/5250 : 1)  C4a (-4628525/1552651 : -4448545981/21737114 : 1)
**u= 196/87 ; 151364291*x^2 - 34104*y^2 + 151441123*z^2
; C3a (-651641/560965 : 802046523/7853510 : 1)  C4a (-261389/33599 : -245861949/470386 : 1)
**u= 196/95 ; 180488659*x^2 - 37240*y^2 + 180565491*z^2
; C3a (-1092277/293583 : -1102386283/4110162 : 1)  C4a (8777/32717 : -33015581/458038 : 1)
**u= 196/107 ; 228975931*x^2 - 41944*y^2 + 229052763*z^2
; C3a (-216273/307385 : -388817379/4303390 : 1)  C4a (162647/29967 : -57033801/139846 : 1)
**u= 196/155 ; 480533659*x^2 - 60760*y^2 + 480610491*z^2
; C3a (41973109/600261 : 52263274027/8403654 : 1)  C4a (-183531/6251 : -12034369/4606 : 1)
**u= 196/179 ; 640877707*x^2 - 70168*y^2 + 640954539*z^2
; C3a (-101997/161491 : 255569103/2260874 : 1)  C4a (434903/11031 : 194036257/51478 : 1)
**u= 196/191 ; 729691027*x^2 - 74872*y^2 + 729767859*z^2
; C3a (91817/97165 : 184769027/1360310 : 1)  C4a (1011/1393 : 2378921/19502 : 1)
**u= 197 ; -18806*x^2 - 394*y^2 + 58812*z^2
; C3a (-533/4752 : -57941/4752 : 1)  C4a (1948/3263 : 587/251 : 1)
**u= 197/18 ; 6442163*x^2 - 7092*y^2 + 6519781*z^2
; C3a (-229292/28341 : 41783363/170046 : 1)  C4a (-60505/47644 : -4659371/95288 : 1)
**u= 197/22 ; 9642643*x^2 - 8668*y^2 + 9720261*z^2
; C3a (140529/209378 : 16867719/418756 : 1)  C4a (-57174/10663 : 3894703/21326 : 1)
**u= 197/30 ; 17963891*x^2 - 11820*y^2 + 18041509*z^2
; C3a (-58579/18119 : -2390868/18119 : 1)  C4a (-136996/1331 : 10704983/2662 : 1)
**u= 197/33 ; 21744458*x^2 - 13002*y^2 + 21822076*z^2
; C3a (-48137/46276 : 2733017/46276 : 1)  C4a (-114368/69871 : 5487951/69871 : 1)
**u= 197/34 ; 23084659*x^2 - 13396*y^2 + 23162277*z^2
; C3a (-61/11689 : -486056/11689 : 1)  C4a (-73867/28847 : 3296702/28847 : 1)
**u= 197/42 ; 35246483*x^2 - 16548*y^2 + 35324101*z^2
; C3a (4742186/375257 : 439088629/750514 : 1)  C4a (59/3902 : -360207/7804 : 1)
**u= 197/49 ; 47988394*x^2 - 19306*y^2 + 48066012*z^2
; C3a (14369/31746 : -12169427/222222 : 1)  C4a (-77744/94551 : 2034963/31517 : 1)
**u= 197/54 ; 58289939*x^2 - 21276*y^2 + 58367557*z^2
; C3a (252469/197599 : 50355832/592797 : 1)  C4a (9937639/3206539 : -546894546/3206539 : 1)
**u= 197/78 ; 121659443*x^2 - 30732*y^2 + 121737061*z^2
; C3a (-546937/1866500 : 244822343/3733000 : 1)  C4a (-15947/26849 : 1964966/26849 : 1)
**u= 197/86 ; 147903379*x^2 - 33884*y^2 + 147980997*z^2
; C3a (-4660629/200110 : -616405347/400220 : 1)  C4a (29958223/1210413 : -660472038/403471 : 1)
**u= 197/126 ; 317528819*x^2 - 49644*y^2 + 317606437*z^2
; C3a (16064219/161220 : 7708873739/967320 : 1)  C4a (12979833/4880147 : 3327410948/14640441 : 1)
**u= 197/130 ; 338011891*x^2 - 51220*y^2 + 338089509*z^2
; C3a (-280156/597981 : -107298715/1195962 : 1)  C4a (985921/5860661 : -482785432/5860661 : 1)
**u= 197/154 ; 474352339*x^2 - 60676*y^2 + 474429957*z^2
; C3a (818717/611895 : 90376036/611895 : 1)  C4a (9704325/1368074 : 1733187341/2736148 : 1)
**u= 197/166 ; 551163859*x^2 - 65404*y^2 + 551241477*z^2
; C3a (10188483/27330722 : 5355524913/54661444 : 1)  C4a (-1905511/526389 : -60495886/175463 : 1)
**u= 197/169 ; 571266874*x^2 - 66586*y^2 + 571344492*z^2
; C3a (91979437/4279680 : -110874536657/55635840 : 1)  C4a (-36500/83707 : -109960327/1088191 : 1)
**u= 197/174 ; 605572019*x^2 - 68556*y^2 + 605649637*z^2
; C3a (-6897073/1721843 : 668121088/1721843 : 1)  C4a (5253905/3391757 : -587773526/3391757 : 1)
883
>
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: 2026.06.10
H.Nakao

Homeに戻る[Homeに戻る]  一覧に戻る[一覧に戻る]