Integer Points on A^4+B^4+2052338*C^4=4*D^4
[2026.05.08]A^4+B^4+2052338*C^4=4*D^4の整点
■Diophantine Equation
A^4+B^4+2*n^2*C^4=4*D^4 ----------(1)
を満たす自明でない整数の組(A,B,C,D) (ただし A*B*C*D!=0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=x+y,B/D=x-y.C/D=tとすると、
2*(x^4+6*x^2*y^2+y^4)+2*n^2*t^4=4
x^4+6*x^2*y^2+y^4+n^2*t^4=2 ----------(2)
つまり、(2)を満たす有理数の組(r,s,t)を見つければ良い。
ここで、ある有理数uに対して、
(u^2+1)*y^2=--(u^2+4*u+5)*x^2-(u^2+2*u-1) ----------(5a)
±n*(u^2+1)*t^2=2*(u^2+2*u-1)*x^2+(u^2-2*u^1) ----------(5b±)
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(u,x)
%1 = ((-u^2 - 4*u - 5)/(u^2 + 1))*x^2 + ((-u^2 - 2*u + 1)/(u^2 + 1))
gp > TT2(n,u,x)
%2 = ((2*u^2 + 4*u - 2)/(n*u^2 + n))*x^2 + ((u^2 - 2*u - 1)/(n*u^2 + n))
gp > x^4+6*x^2*YY2(u,x)+YY2(u,x)^2+n^2*TT2(n,u,x)^2
%5 = 2
■２次曲線(5a),(5b±)は、常にnon-singularである。
２次曲線(5a)の右辺の判別式は
-4*(u^2+4*u+5)*(u^2*2+u-1)
となり、有理数の根を持たないので、任意の有理数uについて、non-singularである。
同様に、２次曲線(5b±)の右辺の判別式は
-4*2*(u^2+2*u-1)*(u^2-2*u-1)
となり、有理数の根を持たないので、任意の有理数uについて、non-singularである。
■以下では、n=1013とする。Pari/GPで簡単なプログラムを作成して、小さい整数解を調べると、
385^4+659^4+2052338*1^4=4*479^4
が見つかった。
■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、uの分子が偶数、uの分母が奇数であり、２つの２次曲線(5a)と(5b±)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(重複を含む)1168個のuが抽出される。
[pari/gpによる計算]
> PP(1013,1,200);
** u= -200/83 ; C1 -8045*x^2 + 46889*y^2 + 89*z^2
(-1668/43591 : -1769/43591 : 1) C2b (-150427/14323 : -449/14323 : 1)
** u= -200/101 ; C1 -10205*x^2 + 50201*y^2 + 10601*z^2
(70500/69601 : 3551/69601 : 1) C2b (6536893/3915293 : -57841/3915293 : 1)
** u= -200/109 ; C1 -12205*x^2 + 51881*y^2 + 15481*z^2
(2236/2417 : -753/2417 : 1) C2b (13171/159435 : -5881/159435 : 1)
** u= -199/99 ; C1 -9802*x^2 + 49402*y^2 + 9602*z^2
(10214/14911 : -365/1147 : 1) C2b (268904/443265 : -15619/443265 : 1)
** u= -199/115 ; C1 {+/-} -14186*x^2 + 52826*y^2 + 19394*z^2
(-7777/6899 : -1110/6899 : 1) C2a (-5065416459/44435329 : 136365397/44435329 : 1) C2b (65084/155575 : 5437/155575 :
1)
** u= -199/123 ; C1 {+/-} -17338*x^2 + 54730*y^2 + 24482*z^2
(9038/11831 : -6061/11831 : 1) C2a (-847289/5573 : 25179/5573 : 1) C2b (-334096/4252453 : -154437/4252453 : 1)
** u= -199/179 ; C1 {+/-} -57322*x^2 + 71642*y^2 + 63682*z^2
(-5449/33211 : 30930/33211 : 1) C2a (1779679/1376137 : 59179/1376137 : 1) C2b (-170996/558633 : 16957/558633 : 1)
** u= -199/187 ; C1 -65594*x^2 - 74570*y^2 + 69794*z^2
(7373/10243 : -7098/10243 : 1) C2a (-3343341/587261 : -142459/587261 : 1)
** u= -198/89 ; C1 -8321*x^2 - 47125*y^2 + 3961*z^2
(-2802/4123 : 1031/20615 : 1) C2a (67378/2383 : -4317/11915 : 1)
** u= -198/133 ; C1 -22313*x^2 - 56893*y^2 + 31153*z^2
(-121197/144785 : -75616/144785 : 1) C2a (13579084/2584977 : 436741/2584977 : 1)
** u= -198/175 ; C1 -53729*x^2 - 69829*y^2 + 60721*z^2
(11761/11223 : 1760/11223 : 1) C2a (356558/440345 : 2187/440345 : 1)
** u= -198/197 ; C1 -77225*x^2 - 78013*y^2 + 77617*z^2
(423/2285 : -448/457 : 1) C2a (-11992/9961 : 429/9961 : 1)
** u= -197/169 ; C1 {+/-} -48442*x^2 + 67370*y^2 + 56338*z^2
(1001/2757 : 2374/2757 : 1) C2a (-31935437/1850341 : 1296143/1850341 : 1) C2b (3862014/6192703 : -136199/6192703 : 1)
** u= -197/185 ; C1 {+/-} -64154*x^2 + 73034*y^2 + 68306*z^2
(-21126/24553 : 694645/1301309 : 1) C2a (-104607/15883 : -33811/120257 : 1) C2b (136/301 : -59/2279 : 1)
** u= -196/111 ; C1 -12997*x^2 + 50737*y^2 + 17417*z^2
(-712/31955 : -18719/31955 : 1) C2b (-241/14593 : 537/14593 : 1)
** u= -196/115 ; C1 -14381*x^2 + 51641*y^2 + 19889*z^2
(1345/41521 : 25758/41521 : 1) C2b (18538163/16208453 : -302627/16208453 : 1)
** u= -196/131 ; C1 -21517*x^2 + 55577*y^2 + 30097*z^2
(547283/466845 : 45434/466845 : 1) C2b (-418113/894259 : 29059/894259 : 1)
** u= -196/149 ; C1 -32605*x^2 + 60617*y^2 + 42193*z^2
(10012/15149 : 10287/15149 : 1) C2b (525049/1437273 : -46169/1437273 : 1)
** u= -195/127 ; C1 -19610*x^2 + 54154*y^2 + 27634*z^2
(474/467 : -173/467 : 1) C2b (365692/331615 : 2907/331615 : 1)
** u= -195/191 ; C1 -71450*x^2 + 74506*y^2 + 72946*z^2
(-20870/23163 : -10373/23163 : 1) C2b (2946/10789 : -317/10789 : 1)
** u= -195/199 ; C1 -80810*x^2 - 77626*y^2 + 79186*z^2
(-123182/124587 : 6137/124587 : 1) C2a (-2488669/1253019 : -6157/73707 : 1)
** u= -194/89 ; C1 -8177*x^2 - 45557*y^2 + 4817*z^2
(-9034/23455 : -6597/23455 : 1) C2a (-782544/33073 : -11239/33073 : 1)
** u= -194/91 ; C1 -8425*x^2 - 45917*y^2 + 5953*z^2
(-32126/44885 : -1695/8977 : 1) C2a (1754438/2579 : 28069/2579 : 1)
** u= -194/125 ; C1 -18761*x^2 - 53261*y^2 + 26489*z^2
(3786/3827 : 1495/3827 : 1) C2a (3589362/1773715 : -92407/1773715 : 1)
** u= -194/133 ; C1 -22873*x^2 - 55325*y^2 + 31657*z^2
(8755/7909 : -10128/39545 : 1) C2a (1025290/520213 : 145093/2601065 : 1)
** u= -194/139 ; C1 -26377*x^2 - 56957*y^2 + 35617*z^2
(-146033/132347 : 32820/132347 : 1) C2a (177934/174895 : 887/174895 : 1)
** u= -193/93 ; C1 -8698*x^2 - 45898*y^2 + 7298*z^2
(-3670/4193 : 493/4193 : 1) C2a (-64401/30013 : -229/30013 : 1)
** u= -193/109 ; C1 {+/-} -12506*x^2 + 49130*y^2 + 16706*z^2
(173/253 : 2022/4301 : 1) C2a (4817/3243 : -619/55131 : 1) C2b (-25342/20323 : 6095/345491 : 1)
** u= -193/133 ; C1 {+/-} -23018*x^2 + 54938*y^2 + 31778*z^2
(-5595/5209 : 1606/5209 : 1) C2a (1420271/1320315 : -9103/1320315 : 1) C2b (2959174/5332153 : 161927/5332153 : 1)
** u= -192/85 ; C1 -7709*x^2 + 44089*y^2 + 3001*z^2
(9480/24901 : -5147/24901 : 1) C2b (611837/206893 : -3063/206893 : 1)
** u= -192/143 ; C1 -29285*x^2 + 57313*y^2 + 38497*z^2
(-1884/7459 : 5963/7459 : 1) C2b (1800109/2184703 : 39579/2184703 : 1)
** u= -192/155 ; C1 -37949*x^2 + 60889*y^2 + 46681*z^2
(7204/59955 : 52187/59955 : 1) C2b (319577/731377 : -21747/731377 : 1)
** u= -192/157 ; C1 -39533*x^2 + 61513*y^2 + 48073*z^2
(-227515/230703 : -91258/230703 : 1) C2b (-861243/1688255 : -46603/1688255 : 1)
** u= -192/169 ; C1 -49877*x^2 + 65425*y^2 + 56593*z^2
(-2184/3125 : -10967/15625 : 1) C2b (-443427/579191 : -5891/579191 : 1)
** u= -192/179 ; C1 -59597*x^2 + 68905*y^2 + 63913*z^2
(489576/475727 : -51119/475727 : 1) C2b (-17405409/41814557 : -1134817/41814557 : 1)
** u= -192/185 ; C1 -65909*x^2 + 71089*y^2 + 68401*z^2
(-93661/110967 : 60950/110967 : 1) C2b (1424631/2291095 : -38923/2291095 : 1)
** u= -191/115 ; C1 -14746*x^2 + 49706*y^2 + 20674*z^2
(254/3983 : 2565/3983 : 1) C2b (1224672/1262885 : 29941/1262885 : 1)
** u= -191/171 ; C1 -52042*x^2 + 65722*y^2 + 58082*z^2
(-9938/32083 : -28835/32083 : 1) C2b (-248518/448475 : -10557/448475 : 1)
** u= -190/81 ; C1 -7345*x^2 - 42661*y^2 + 1241*z^2
(-1747/8809 : -1316/8809 : 1) C2a (-238668018/1234093 : 1808147/1234093 : 1)
** u= -190/83 ; C1 -7465*x^2 - 42989*y^2 + 2329*z^2
(-2938/8449 : 1539/8449 : 1) C2a (-151792/29425 : -1121/29425 : 1)
** u= -190/103 ; C1 -10865*x^2 - 46709*y^2 + 13649*z^2
(-31595/31987 : 8172/31987 : 1) C2a (-12284034/2795965 : -276367/2795965 : 1)
** u= -190/113 ; C1 -14065*x^2 - 48869*y^2 + 19609*z^2
(18898/25419 : 12509/25419 : 1) C2a (-2230736/357289 : 61411/357289 : 1)
** u= -190/127 ; C1 -20225*x^2 - 52229*y^2 + 28289*z^2
(-5211/5875 : -572/1175 : 1) C2a (3121142/338385 : 101339/338385 : 1)
** u= -190/161 ; C1 -43345*x^2 - 62021*y^2 + 51001*z^2
(8773/29273 : -25512/29273 : 1) C2a (-569492/284783 : -20843/284783 : 1)
** u= -189/121 ; C1 {+/-} -17450*x^2 + 50362*y^2 + 24658*z^2
(-18/65 : 115/169 : 1) C2a (-14393/12349 : -297/160537 : 1) C2b (-1524/8533 : -3967/110929 : 1)
** u= -188/97 ; C1 -9445*x^2 + 44753*y^2 + 10537*z^2
(18295/29159 : 11382/29159 : 1) C2b (527741/313317 : -2381/313317 : 1)
** u= -188/127 ; C1 -20485*x^2 + 51473*y^2 + 28537*z^2
(-14320/12147 : -439/12147 : 1) C2b (-336697/3047451 : -108643/3047451 : 1)
** u= -188/135 ; C1 -24949*x^2 + 53569*y^2 + 33641*z^2
(7175/10753 : -6974/10753 : 1) C2b (-16487/18923 : 333/18923 : 1)
** u= -188/157 ; C1 -40525*x^2 + 59993*y^2 + 48337*z^2
(39968/37405 : -1389/7481 : 1) C2b (-6723633/17597599 : -532343/17597599 : 1)
** u= -188/173 ; C1 -54893*x^2 + 65273*y^2 + 59633*z^2
(-121275/142843 : 79198/142843 : 1) C2b (5395541/7599557 : -13579/1085651 : 1)
** u= -188/195 ; C1 -78829*x^2 + 73369*y^2 + 76001*z^2
(-70660/72143 : 5189/72143 : 1) C2b (2144923/11437797 : -339013/11437797 : 1)
** u= -187/79 ; C1 {+/-} -7082*x^2 + 41210*y^2 + 818*z^2
(1158/4091 : 319/4091 : 1) C2a (214257/7829 : -1309/7829 : 1) C2b (-437402/73531 : -223/73531 : 1)
** u= -187/95 ; C1 -9034*x^2 + 43994*y^2 + 9586*z^2
(-10315/11147 : 2286/11147 : 1) C2b (-29396/42129 : -1441/42129 : 1)
** u= -187/151 ; C1 -36026*x^2 + 57770*y^2 + 44306*z^2
(30526/27551 : 1023/27551 : 1) C2b (-303286/403399 : -7183/403399 : 1)
** u= -187/159 ; C1 -42442*x^2 - 60250*y^2 + 49778*z^2
(2282/3259 : -11299/16295 : 1) C2a (244757/86929 : -47211/434645 : 1)
** u= -187/167 ; C1 -49498*x^2 - 62858*y^2 + 55378*z^2
(-1721/8675 : 7998/8675 : 1) C2a (2059003/414551 : -84773/414551 : 1)
** u= -186/91 ; C1 -8297*x^2 - 42877*y^2 + 7537*z^2
(-6089/7299 : -1480/7299 : 1) C2a (8011942/1297345 : -141231/1297345 : 1)
** u= -186/95 ; C1 -9041*x^2 - 43621*y^2 + 9769*z^2
(9030/20129 : 8593/20129 : 1) C2a (971025866/256489525 : 18061581/256489525 : 1)
** u= -186/119 ; C1 -16865*x^2 - 48757*y^2 + 23833*z^2
(-15667/14943 : 4924/14943 : 1) C2a (-4313374/1493737 : -122607/1493737 : 1)
** u= -186/133 ; C1 -24089*x^2 - 52285*y^2 + 32569*z^2
(14502/15607 : 7405/15607 : 1) C2a (-2888566/746509 : -97791/746509 : 1)
** u= -186/137 ; C1 -26513*x^2 - 53365*y^2 + 35137*z^2
(-21886/33147 : -22033/33147 : 1) C2a (40784032/15590879 : -1364529/15590879 : 1)
** u= -186/199 ; C1 -84545*x^2 - 74197*y^2 + 79033*z^2
(-217326/224857 : -6199/224857 : 1) C2a (-3778286/2795993 : 151137/2795993 : 1)
** u= -185/109 ; C1 {+/-} -12970*x^2 + 46106*y^2 + 17986*z^2
(-7498/19517 : 11523/19517 : 1) C2a (-11386931/886351 : -13667/38537 : 1) C2b (2492496/1922041 : -571/83567 : 1)
** u= -185/141 ; C1 -29290*x^2 + 54106*y^2 + 37826*z^2
(1166/2681 : -2071/2681 : 1) C2b (976076/1052349 : -5377/1052349 : 1)
** u= -185/173 ; C1 {+/-} -55850*x^2 + 64154*y^2 + 59714*z^2
(-39257/45925 : 4986/9185 : 1) C2a (45899/1515 : -1967/1515 : 1) C2b (-2534756/3747029 : -54313/3747029 : 1)
** u= -185/197 ; C1 {+/-} -82490*x^2 + 73034*y^2 + 77474*z^2
(318/829 : 41557/43937 : 1) C2a (23793/26707 : 38479/1415471 : 1) C2b (-1708/8563 : -13153/453839 : 1)
** u= -184/89 ; C1 -7957*x^2 + 41777*y^2 + 6817*z^2
(-15485/18207 : -2902/18207 : 1) C2b (55709/52893 : -1697/52893 : 1)
** u= -184/101 ; C1 -10525*x^2 + 44057*y^2 + 13513*z^2
(-13496/29745 : -3019/5949 : 1) C2b (-1835287/1312785 : 17579/1312785 : 1)
** u= -184/119 ; C1 -17077*x^2 + 48017*y^2 + 24097*z^2
(12148/10267 : 645/10267 : 1) C2b (-1762923/1546855 : 6613/1546855 : 1)
** u= -184/145 ; C1 -32261*x^2 + 54881*y^2 + 40529*z^2
(13960/13217 : -3801/13217 : 1) C2b (-1612417/1813787 : -11233/1813787 : 1)
** u= -184/159 ; C1 -43237*x^2 + 59137*y^2 + 49937*z^2
(-35305/167597 : 151022/167597 : 1) C2b (-2233747/3616311 : 79541/3616311 : 1)
** u= -184/175 ; C1 -58181*x^2 + 64481*y^2 + 61169*z^2
(-3207/19325 : -18574/19325 : 1) C2b (174071/246761 : -2509/246761 : 1)
** u= -184/199 ; C1 -85397*x^2 + 73457*y^2 + 78977*z^2
(-1107/4817 : -4850/4817 : 1) C2b (-7355603/16490551 : -363019/16490551 : 1)
** u= -183/131 ; C1 -23402*x^2 + 50650*y^2 + 31618*z^2
(-531/1127 : 814/1127 : 1) C2b (18/19 : -233/19247 : 1)
** u= -183/139 ; C1 {+/-} -28346*x^2 + 52810*y^2 + 36706*z^2
(58937/58887 : 23362/58887 : 1) C2a (-1592231/464769 : 56713/464769 : 1) C2b (818602/877277 : 4017/877277 : 1)
** u= -182/79 ; C1 -6817*x^2 - 39365*y^2 + 1873*z^2
(5053/11571 : -1396/11571 : 1) C2a (2624002/388069 : -20897/388069 : 1)
** u= -182/99 ; C1 -10057*x^2 - 42925*y^2 + 12713*z^2
(-7615/8743 : 15044/43715 : 1) C2a (-668880/115763 : -77993/578815 : 1)
** u= -182/109 ; C1 -13177*x^2 - 45005*y^2 + 18433*z^2
(-3907/3329 : -264/3329 : 1) C2a (10580792/719869 : 299729/719869 : 1)
** u= -182/141 ; C1 -29881*x^2 - 53005*y^2 + 38081*z^2
(-43546/38839 : 3841/38839 : 1) C2a (-7265694/2394961 : 260735/2394961 : 1)
** u= -182/151 ; C1 -37201*x^2 - 55925*y^2 + 44641*z^2
(8866/14457 : 53513/72285 : 1) C2a (608546/517949 : -16567/517949 : 1)
** u= -182/157 ; C1 -42073*x^2 - 57773*y^2 + 48673*z^2
(-48659/45241 : -300/45241 : 1) C2a (-25292674/18487415 : 825127/18487415 : 1)
** u= -182/171 ; C1 -54841*x^2 - 62365*y^2 + 58361*z^2
(93998/104153 : -48803/104153 : 1) C2a (-301478/298267 : -8649/298267 : 1)
** u= -181/113 ; C1 {+/-} -14794*x^2 + 45530*y^2 + 20914*z^2
(-11789/12781 : 5466/12781 : 1) C2a (62297/25513 : -1631/25513 : 1) C2b (-2532012/2147533 : -16589/2147533 : 1)
** u= -180/89 ; C1 -7925*x^2 + 40321*y^2 + 7561*z^2
(-392/7449 : 3221/7449 : 1) C2b (407313/2432323 : -90139/2432323 : 1)
** u= -180/137 ; C1 -27605*x^2 + 51169*y^2 + 35689*z^2
(-5880/6701 : -3559/6701 : 1) C2b (104163/223525 : -6763/223525 : 1)
** u= -180/149 ; C1 -36125*x^2 + 54601*y^2 + 43441*z^2
(-24197/22083 : -46/1299 : 1) C2b (7889449/12351085 : -279819/12351085 : 1)
** u= -179/199 ; C1 {+/-} -87562*x^2 + 71642*y^2 + 78802*z^2
(-34379/113811 : -113150/113811 : 1) C2a (-2483437/942431 : 3623/30401 : 1) C2b (375744/1044607 : -823/33697 : 1)
** u= -178/91 ; C1 -8297*x^2 - 39965*y^2 + 8993*z^2
(-1794/2857 : -1081/2857 : 1) C2a (-774854/70173 : 701/3051 : 1)
** u= -178/113 ; C1 -15073*x^2 - 44453*y^2 + 21313*z^2
(-35302/36735 : 14981/36735 : 1) C2a (-20512576/11309603 : -479899/11309603 : 1)
** u= -178/119 ; C1 -17761*x^2 - 45845*y^2 + 24841*z^2
(-19466/218689 : -160521/218689 : 1) C2a (488068/316247 : 11219/316247 : 1)
** u= -178/129 ; C1 -23041*x^2 - 48325*y^2 + 30881*z^2
(-1603/1429 : 1412/7145 : 1) C2a (942284/230179 : -32469/230179 : 1)
** u= -178/185 ; C1 -71089*x^2 - 65909*y^2 + 68401*z^2
(-23629/24757 : -5820/24757 : 1) C2a (2645296/3227029 : 66797/3227029 : 1)
** u= -177/197 ; C1 -85898*x^2 - 70138*y^2 + 77218*z^2
(-23523/34105 : 24554/34105 : 1) C2a (4570271/2125047 : 203579/2125047 : 1)
** u= -176/73 ; C1 -6229*x^2 + 36305*y^2 + 49*z^2
(-8519/173451 : -5306/173451 : 1) C2b (-1089381/130571 : 649/18653 : 1)
** u= -176/75 ; C1 -6301*x^2 + 36601*y^2 + 1049*z^2
(-10900/26879 : -503/26879 : 1) C2b (1642691/357721 : 5091/357721 : 1)
** u= -176/89 ; C1 -7925*x^2 + 38897*y^2 + 8273*z^2
(10344/15685 : 1105/3137 : 1) C2b (373447/255235 : 5599/255235 : 1)
** u= -176/113 ; C1 -15269*x^2 + 43745*y^2 + 21569*z^2
(51117/46247 : -11938/46247 : 1) C2b (170594959/147167669 : 93191/147167669 : 1)
** u= -176/127 ; C1 -22213*x^2 + 47105*y^2 + 29857*z^2
(15127/19189 : -11202/19189 : 1) C2b (-27667/61281 : 1931/61281 : 1)
** u= -176/153 ; C1 -40309*x^2 + 54385*y^2 + 46289*z^2
(-18992/29813 : 22117/29813 : 1) C2b (-69107/295373 : 9447/295373 : 1)
** u= -176/159 ; C1 -45445*x^2 + 56257*y^2 + 50273*z^2
(22709/49937 : 42566/49937 : 1) C2b (117577/247131 : 6457/247131 : 1)
** u= -176/167 ; C1 -52853*x^2 + 58865*y^2 + 55697*z^2
(-297288/297199 : -64961/297199 : 1) C2b (-1298527/1745641 : -3445/1745641 : 1)
** u= -175/83 ; C1 {+/-} -6970*x^2 + 37514*y^2 + 5314*z^2
(36770/42791 : -2859/42791 : 1) C2a (392767/120103 : 4807/120103 : 1) C2b (-87678/48125 : -1033/48125 : 1)
** u= -175/131 ; C1 -24730*x^2 + 47786*y^2 + 32386*z^2
(-6545/16223 : 12498/16223 : 1) C2b (-439632/540857 : 9991/540857 : 1)
** u= -174/73 ; C1 -6113*x^2 - 35605*y^2 + 457*z^2
(-1574/5787 : -67/5787 : 1) C2a (-3795146/56683 : -18987/56683 : 1)
** u= -174/97 ; C1 -9809*x^2 - 39685*y^2 + 12889*z^2
(10542/13687 : 5777/13687 : 1) C2a (323018/169273 : -5289/169273 : 1)
** u= -174/119 ; C1 -18257*x^2 - 44437*y^2 + 25297*z^2
(37791/46015 : -24872/46015 : 1) C2a (-2395702/1269695 : -66261/1269695 : 1)
** u= -174/157 ; C1 -44249*x^2 - 54925*y^2 + 49009*z^2
(18/71 : -4231/4615 : 1) C2a (-8458/6779 : -17949/440635 : 1)
** u= -174/169 ; C1 -55457*x^2 - 58837*y^2 + 57097*z^2
(30442/76203 : -69005/76203 : 1) C2a (12944/17647 : -69/17647 : 1)
** u= -174/181 ; C1 -68105*x^2 - 63037*y^2 + 65473*z^2
(24150/91099 : -1162001/1184287 : 1) C2a (-3622324/666705 : 2115673/8667165 : 1)
** u= -173/153 ; C1 -41098*x^2 - 53338*y^2 + 46418*z^2
(1273/7313 : -6730/7313 : 1) C2a (478347/496031 : 11063/496031 : 1)
** u= -173/185 ; C1 {+/-} -73034*x^2 + 64154*y^2 + 68306*z^2
(115213/119621 : 210/2257 : 1) C2a (7617/11123 : 13/1589 : 1) C2b (-231626/399775 : 5837/399775 : 1)
** u= -172/77 ; C1 -6253*x^2 + 35513*y^2 + 2833*z^2
(-2192/4485 : -67/345 : 1) C2b (272437/1604445 : -59803/1604445 : 1)
** u= -172/115 ; C1 -16589*x^2 + 42809*y^2 + 23201*z^2
(10209/14297 : -8390/14297 : 1) C2b (-62057053/64624727 : 1124543/64624727 : 1)
** u= -172/127 ; C1 -22853*x^2 + 45713*y^2 + 30233*z^2
(-14728/28615 : -20811/28615 : 1) C2b (-653969/1442957 : -44843/1442957 : 1)
** u= -171/71 ; C1 -5882*x^2 + 34282*y^2 + 82*z^2
(-999/11515 : 382/11515 : 1) C2b (-551214/189463 : -6977/189463 : 1)
** u= -171/79 ; C1 {+/-} -6410*x^2 + 35482*y^2 + 4018*z^2
(-6517/11499 : 2702/11499 : 1) C2a (-609521/201915 : -733/28845 : 1) C2b (634602/260561 : -301/37223 : 1)
** u= -171/175 ; C1 -62666*x^2 + 59866*y^2 + 61234*z^2
(11490/35327 : 33739/35327 : 1) C2b (-321094/633569 : 13371/633569 : 1)
** u= -170/87 ; C1 -7585*x^2 - 36469*y^2 + 8249*z^2
(25094/46157 : -18733/46157 : 1) C2a (-351078/199523 : -427/199523 : 1)
** u= -170/93 ; C1 -8905*x^2 - 37549*y^2 + 11369*z^2
(-26875/29429 : -9536/29429 : 1) C2a (-312644/196981 : -2349/196981 : 1)
** u= -170/103 ; C1 -11905*x^2 - 39509*y^2 + 16729*z^2
(5233/77819 : -50556/77819 : 1) C2a (445778/138457 : 11857/138457 : 1)
** u= -170/139 ; C1 -30985*x^2 - 48221*y^2 + 37681*z^2
(238595/216687 : -10528/216687 : 1) C2a (1461736/1108289 : -6173/158327 : 1)
** u= -170/149 ; C1 -38585*x^2 - 51101*y^2 + 43961*z^2
(29049/54209 : 43484/54209 : 1) C2a (1328304/1612985 : -10673/1612985 : 1)
** u= -169/85 ; C1 {+/-} -7226*x^2 + 35786*y^2 + 7394*z^2
(4038/4201 : 595/4201 : 1) C2a (-36377507/689223 : -734281/689223 : 1) C2b (688946/385501 : 3409/385501 : 1)
** u= -169/141 ; C1 {+/-} -32650*x^2 + 48442*y^2 + 38978*z^2
(-1981/8305 : 1454/1661 : 1) C2a (70749/82123 : -457/82123 : 1) C2b (43784/59493 : 1009/59493 : 1)
** u= -169/197 ; C1 {+/-} -89434*x^2 + 67370*y^2 + 76834*z^2
(-5786/7149 : -3721/7149 : 1) C2a (-5214841/5215829 : 196915/5215829 : 1) C2b (-3024356/17200029 : 472891/17200029 :
1)
** u= -168/83 ; C1 -6893*x^2 + 35113*y^2 + 6553*z^2
(13665/14773 : 2018/14773 : 1) C2b (3605363/2998691 : 87489/2998691 : 1)
** u= -168/85 ; C1 -7229*x^2 + 35449*y^2 + 7561*z^2
(-6477/7855 : 2146/7855 : 1) C2b (475451/296611 : 5121/296611 : 1)
** u= -168/89 ; C1 -8021*x^2 + 36145*y^2 + 9601*z^2
(2248/13773 : -7019/13773 : 1) C2b (-2520423/2344657 : -64859/2344657 : 1)
** u= -168/103 ; C1 -12053*x^2 + 38833*y^2 + 16993*z^2
(12637/11745 : 3286/11745 : 1) C2b (-1535687/1241719 : -3069/1241719 : 1)
** u= -168/121 ; C1 -20117*x^2 + 42865*y^2 + 27073*z^2
(-8136/111973 : -88813/111973 : 1) C2b (792393/935531 : -17615/935531 : 1)
** u= -168/149 ; C1 -39101*x^2 + 50425*y^2 + 44041*z^2
(-3291/3479 : 1474/3479 : 1) C2b (-774053/1002781 : -42117/5013905 : 1)
** u= -168/151 ; C1 -40757*x^2 + 51025*y^2 + 45313*z^2
(20937/20621 : -5242/20621 : 1) C2b (148899/285683 : -7057/285683 : 1)
** u= -166/97 ; C1 -10193*x^2 - 36965*y^2 + 14057*z^2
(-15566/13283 : -531/13283 : 1) C2a (1537482/793219 : 30475/793219 : 1)
** u= -166/159 ; C1 -48385*x^2 - 52837*y^2 + 50513*z^2
(-19130/21113 : 9541/21113 : 1) C2a (-2114736/2227517 : 57763/2227517 : 1)
** u= -166/163 ; C1 -52169*x^2 - 54125*y^2 + 53129*z^2
(20067/31067 : -118244/155335 : 1) C2a (4949174/867549 : 1080667/4337745 : 1)
** u= -166/175 ; C1 -64481*x^2 - 58181*y^2 + 61169*z^2
(62243/102275 : 81876/102275 : 1) C2a (-3056/2835 : 109/2835 : 1)
** u= -166/187 ; C1 -78233*x^2 - 62525*y^2 + 69497*z^2
(1923/2059 : -292/2059 : 1) C2a (13104/11639 : -2549/58195 : 1)
** u= -165/113 ; C1 {+/-} -16490*x^2 + 39994*y^2 + 22834*z^2
(12467/10869 : 1834/10869 : 1) C2a (648869/608349 : -197/86907 : 1) C2b (-17796/254701 : -9083/254701 : 1)
** u= -164/87 ; C1 -7669*x^2 + 34465*y^2 + 9209*z^2
(9688/14323 : -5825/14323 : 1) C2b (-2287223/1737987 : -37165/1737987 : 1)
** u= -164/101 ; C1 -11645*x^2 + 37097*y^2 + 16433*z^2
(-2367/17623 : 11654/17623 : 1) C2b (-396929/423095 : -9977/423095 : 1)
** u= -164/113 ; C1 -16613*x^2 + 39665*y^2 + 22937*z^2
(-1272/1181 : -359/1181 : 1) C2b (3371821/4688677 : 122587/4688677 : 1)
** u= -164/137 ; C1 -30869*x^2 + 45665*y^2 + 36809*z^2
(-72288/71417 : -24059/71417 : 1) C2b (833089/1344809 : -31145/1344809 : 1)
** u= -164/161 ; C1 -50885*x^2 + 52817*y^2 + 51833*z^2
(49872/93113 : -78181/93113 : 1) C2b (2402137/3335161 : 1097/3335161 : 1)
** u= -164/165 ; C1 -54781*x^2 + 54121*y^2 + 54449*z^2
(-10636/29257 : 27325/29257 : 1) C2b (-85829/2751179 : -86091/2751179 : 1)
** u= -164/169 ; C1 -58837*x^2 + 55457*y^2 + 57097*z^2
(21292/32513 : 24645/32513 : 1) C2b (-2331633/3622169 : 38809/3622169 : 1)
** u= -164/179 ; C1 -69677*x^2 + 58937*y^2 + 63857*z^2
(2381/22589 : -23370/22589 : 1) C2b (1337347/2555155 : -45077/2555155 : 1)
** u= -164/199 ; C1 -94357*x^2 + 66497*y^2 + 77977*z^2
(88445/97389 : -4706/97389 : 1) C2b (-758451/1439945 : -16919/1439945 : 1)
** u= -163/79 ; C1 {+/-} -6266*x^2 + 32810*y^2 + 5426*z^2
(202/227 : 27/227 : 1) C2a (762007/349857 : -4459/349857 : 1) C2b (-17788/116687 : -4333/116687 : 1)
** u= -163/127 ; C1 {+/-} -24410*x^2 + 42698*y^2 + 30962*z^2
(4819/6871 : 4578/6871 : 1) C2a (-1379931/394717 : -50393/394717 : 1) C2b (-115598/126425 : -161/126425 : 1)
** u= -162/71 ; C1 -5441*x^2 - 31285*y^2 + 1801*z^2
(-14293/41607 : 8008/41607 : 1) C2a (-133394/24231 : 1097/24231 : 1)
** u= -162/77 ; C1 -5993*x^2 - 32173*y^2 + 4633*z^2
(-14605/29493 : -9248/29493 : 1) C2a (-47088112/8329979 : 730773/8329979 : 1)
** u= -162/133 ; C1 -28505*x^2 - 43933*y^2 + 34537*z^2
(14633/13761 : 3152/13761 : 1) C2a (469574/530157 : -4007/530157 : 1)
** u= -162/139 ; C1 -32777*x^2 - 45565*y^2 + 38113*z^2
(-37218/39529 : -17623/39529 : 1) C2a (9721984/3467923 : -377559/3467923 : 1)
** u= -162/169 ; C1 -59537*x^2 - 54805*y^2 + 57073*z^2
(18978/23759 : -14021/23759 : 1) C2a (-56919884/12844707 : -2550581/12844707 : 1)
** u= -162/179 ; C1 -70457*x^2 - 58285*y^2 + 63793*z^2
(12458/13209 : 1831/13209 : 1) C2a (-6859982/7957971 : 213781/7957971 : 1)
** u= -161/117 ; C1 {+/-} -19018*x^2 + 39610*y^2 + 25442*z^2
(1417/6949 : -5482/6949 : 1) C2a (-3728033/342851 : 132207/342851 : 1) C2b (244816/876617 : 29661/876617 : 1)
** u= -161/141 ; C1 {+/-} -34522*x^2 + 45802*y^2 + 39362*z^2
(-19271/33161 : -25790/33161 : 1) C2a (-39468033/6074351 : 1613113/6074351 : 1) C2b (-100198/741035 : -24327/741035 :
1)
** u= -160/69 ; C1 -5245*x^2 + 30361*y^2 + 1241*z^2
(-4405/9151 : 266/9151 : 1) C2b (500009/320621 : 11103/320621 : 1)
** u= -160/141 ; C1 -34765*x^2 + 45481*y^2 + 39401*z^2
(2356/5801 : 4991/5801 : 1) C2b (918677/1175985 : 293/37935 : 1)
** u= -160/147 ; C1 -39565*x^2 + 47209*y^2 + 43049*z^2
(-11720/12919 : 6089/12919 : 1) C2b (-81679/2285459 : 74577/2285459 : 1)
** u= -160/153 ; C1 -44725*x^2 + 49009*y^2 + 46769*z^2
(1036/1649 : -1271/1649 : 1) C2b (-229099/1182391 : 36627/1182391 : 1)
** u= -160/183 ; C1 -75925*x^2 + 59089*y^2 + 66449*z^2
(-176597/189505 : -3538/37901 : 1) C2b (-993569/1865151 : -27443/1865151 : 1)
** u= -159/83 ; C1 {+/-} -6938*x^2 + 32170*y^2 + 8002*z^2
(-26/1923 : -959/1923 : 1) C2a (-623/321 : -7/321 : 1) C2b (23016/24757 : -763/24757 : 1)
** u= -159/131 ; C1 {+/-} -27770*x^2 + 42442*y^2 + 33538*z^2
(-911/5799 : 5102/5799 : 1) C2a (-515917/200915 : 19197/200915 : 1) C2b (30066/119335 : 3883/119335 : 1)
** u= -159/139 ; C1 -33482*x^2 - 44602*y^2 + 38242*z^2
(-4283/7887 : -6290/7887 : 1) C2a (-2106631/492183 : 85109/492183 : 1)
** u= -159/179 ; C1 -71642*x^2 + 57322*y^2 + 63682*z^2
(2625/27407 : -28738/27407 : 1) C2b (1263258/2052301 : 11759/2052301 : 1)
** u= -158/73 ; C1 -5473*x^2 - 30293*y^2 + 3433*z^2
(7507/21137 : -6360/21137 : 1) C2a (2050864/175 : -30677/175 : 1)
** u= -158/77 ; C1 -5945*x^2 - 30893*y^2 + 5297*z^2
(-1585/4877 : 1896/4877 : 1) C2a (1058888/521829 : 1489/521829 : 1)
** u= -158/81 ; C1 -6577*x^2 - 31525*y^2 + 7193*z^2
(-1414/7151 : 16771/35755 : 1) C2a (-1223566/6121 : -129843/30605 : 1)
** u= -158/91 ; C1 -8857*x^2 - 33245*y^2 + 12073*z^2
(31982/49809 : 25069/49809 : 1) C2a (-5988014/4344727 : -15461/4344727 : 1)
** u= -158/95 ; C1 -10049*x^2 - 33989*y^2 + 14081*z^2
(-78526/167725 : 99153/167725 : 1) C2a (-88506312/451357 : 2531179/451357 : 1)
** u= -158/119 ; C1 -20561*x^2 - 39125*y^2 + 26801*z^2
(-4114/4241 : -1851/4241 : 1) C2a (474168/386533 : -11027/386533 : 1)
** u= -158/157 ; C1 -48985*x^2 - 49613*y^2 + 49297*z^2
(-2033/2541 : -1528/2541 : 1) C2a (-1009166/958555 : 32941/958555 : 1)
** u= -157/73 ; C1 {+/-} -5450*x^2 + 29978*y^2 + 3602*z^2
(-33/41 : 2/41 : 1) C2a (-1733561/39915 : -26659/39915 : 1) C2b (1254398/633079 : -13573/633079 : 1)
** u= -156/77 ; C1 -5933*x^2 + 30265*y^2 + 5617*z^2
(-547/1011 : 362/1011 : 1) C2b (652413/670931 : -21611/670931 : 1)
** u= -156/157 ; C1 -49613*x^2 + 48985*y^2 + 49297*z^2
(-1953/2831 : 2050/2831 : 1) C2b (-54601/77713 : 9/77713 : 1)
** u= -154/83 ; C1 -7033*x^2 - 30605*y^2 + 8737*z^2
(-11822/23461 : 11181/23461 : 1) C2a (-945746/500233 : 12727/500233 : 1)
** u= -154/89 ; C1 -8497*x^2 - 31637*y^2 + 11617*z^2
(84275/80661 : -21944/80661 : 1) C2a (-1898122/114889 : -50933/114889 : 1)
** u= -154/95 ; C1 -10321*x^2 - 32741*y^2 + 14569*z^2
(-8594/8793 : 3335/8793 : 1) C2a (-443822354/19566499 : -13135627/19566499 : 1)
** u= -154/97 ; C1 -11009*x^2 - 33125*y^2 + 15569*z^2
(-873/937 : 1996/4685 : 1) C2a (-4322/2643 : 451/13215 : 1)
** u= -154/113 ; C1 -17953*x^2 - 36485*y^2 + 23857*z^2
(29794/131243 : 104049/131243 : 1) C2a (-25087126/69533 : -901385/69533 : 1)
** u= -154/123 ; C1 -23593*x^2 - 38845*y^2 + 29297*z^2
(15131/37847 : -30680/37847 : 1) C2a (-776364/778577 : 13477/778577 : 1)
** u= -154/127 ; C1 -26129*x^2 - 39845*y^2 + 31529*z^2
(4774/15809 : -13521/15809 : 1) C2a (54214/29409 : 1895/29409 : 1)
** u= -154/141 ; C1 -36265*x^2 - 43597*y^2 + 39593*z^2
(9299/9037 : -1496/9037 : 1) C2a (-64308/29119 : -2551/29119 : 1)
** u= -154/169 ; C1 -62417*x^2 - 52277*y^2 + 56897*z^2
(79418/101395 : 60489/101395 : 1) C2a (368854/271233 : 15059/271233 : 1)
** u= -154/173 ; C1 -66793*x^2 - 53645*y^2 + 59497*z^2
(-32582/84511 : 81237/84511 : 1) C2a (12834274/1836133 : -598135/1836133 : 1)
** u= -154/183 ; C1 -78433*x^2 - 57205*y^2 + 66137*z^2
(7621/17423 : -16472/17423 : 1) C2a (-2185226/1793923 : -91173/1793923 : 1)
** u= -153/101 ; C1 -12602*x^2 - 33610*y^2 + 17698*z^2
(6739/38493 : -27626/38493 : 1) C2a (-595957/48831 : 19135/48831 : 1)
** u= -153/133 ; C1 {+/-} -30458*x^2 + 41098*y^2 + 34978*z^2
(2126/7869 : -7025/7869 : 1) C2a (-13067707/2613521 : 528513/2613521 : 1) C2b (580308/811175 : 12953/811175 : 1)
** u= -152/63 ; C1 -4645*x^2 + 27073*y^2 + 17*z^2
(457/7949 : 62/7949 : 1) C2b (548027/19085 : -369/19085 : 1)
** u= -152/67 ; C1 -4813*x^2 + 27593*y^2 + 1753*z^2
(1405/35553 : 8942/35553 : 1) C2b (-72483/25829 : -521/25829 : 1)
** u= -152/81 ; C1 -6661*x^2 + 29665*y^2 + 8081*z^2
(-6013/25967 : -13250/25967 : 1) C2b (-1215059/2838621 : 101215/2838621 : 1)
** u= -152/91 ; C1 -9181*x^2 + 31385*y^2 + 12841*z^2
(-1571/1329 : -26/1329 : 1) C2b (-6315301/5835969 : 115315/5835969 : 1)
** u= -152/93 ; C1 -9805*x^2 + 31753*y^2 + 13817*z^2
(-269992/264721 : 89353/264721 : 1) C2b (-732619/601165 : 4353/601165 : 1)
** u= -152/107 ; C1 -15293*x^2 + 34553*y^2 + 20873*z^2
(-94527/92645 : 35074/92645 : 1) C2b (-56771/742103 : 26293/742103 : 1)
** u= -152/175 ; C1 -69829*x^2 + 53729*y^2 + 60721*z^2
(-2092/18531 : -19555/18531 : 1) C2b (197583/508913 : -11413/508913 : 1)
** u= -152/193 ; C1 -92005*x^2 + 60353*y^2 + 72817*z^2
(82831/143931 : -120562/143931 : 1) C2b (-637731/1647595 : 31753/1647595 : 1)
** u= -151/67 ; C1 {+/-} -4778*x^2 + 27290*y^2 + 1922*z^2
(-1271/2123 : 186/2123 : 1) C2a (654021/205127 : 29/6617 : 1) C2b (802906/946957 : 1099/30547 : 1)
** u= -151/147 ; C1 -42058*x^2 + 44410*y^2 + 43202*z^2
(2186/5167 : -4631/5167 : 1) C2b (-3412172/7273341 : 176759/7273341 : 1)
** u= -150/137 ; C1 -34145*x^2 - 41269*y^2 + 37369*z^2
(-110645/105777 : -1552/105777 : 1) C2a (-6255974/8076171 : -4781/8076171 : 1)
** u= -150/199 ; C1 -101105*x^2 - 62101*y^2 + 76801*z^2
(4293/56603 : 62708/56603 : 1) C2a (-9060742/8794755 : -384809/8794755 : 1)
** u= -149/65 ; C1 -4586*x^2 + 26426*y^2 + 1394*z^2
(1350/2761 : 293/2761 : 1) C2b (-391046/121351 : -2149/121351 : 1)
** u= -148/83 ; C1 -7213*x^2 + 28793*y^2 + 9553*z^2
(-23308/22763 : 5985/22763 : 1) C2b (-3/4859 : -179/4859 : 1)
** u= -148/105 ; C1 -14869*x^2 + 32929*y^2 + 20201*z^2
(15425/14519 : 4678/14519 : 1) C2b (25429457/28841133 : 512917/28841133 : 1)
** u= -148/117 ; C1 -21085*x^2 + 35593*y^2 + 26417*z^2
(12167/13567 : -6994/13567 : 1) C2b (3990673/4732259 : -57237/4732259 : 1)
** u= -148/119 ; C1 -22261*x^2 + 36065*y^2 + 27481*z^2
(2488/6243 : 5087/6243 : 1) C2b (-255881/310509 : 3859/310509 : 1)
** u= -148/131 ; C1 -30157*x^2 + 39065*y^2 + 34033*z^2
(-11123/10861 : 2694/10861 : 1) C2b (917757/4306279 : -137639/4306279 : 1)
** u= -148/159 ; C1 -54181*x^2 + 47185*y^2 + 50441*z^2
(122269/163069 : -106114/163069 : 1) C2b (-50639/86359 : -1185/86359 : 1)
** u= -148/175 ; C1 -71429*x^2 + 52529*y^2 + 60521*z^2
(19620/22487 : 7691/22487 : 1) C2b (664249/9206255 : 260023/9206255 : 1)
** u= -148/195 ; C1 -96589*x^2 + 59929*y^2 + 73841*z^2
(-22055/25417 : 3466/25417 : 1) C2b (-383/1137 : -23/1137 : 1)
** u= -147/127 ; C1 -27578*x^2 - 37738*y^2 + 31858*z^2
(-5822/17655 : -15439/17655 : 1) C2a (-3201403/682509 : -128687/682509 : 1)
** u= -147/167 ; C1 -62858*x^2 + 49498*y^2 + 55378*z^2
(7998/8675 : -1721/8675 : 1) C2b (32364/124315 : 3299/124315 : 1)
** u= -146/63 ; C1 -4369*x^2 - 25285*y^2 + 1049*z^2
(-28454/101141 : -16867/101141 : 1) C2a (30752066/181621 : 278235/181621 : 1)
** u= -146/85 ; C1 -7801*x^2 - 28541*y^2 + 10729*z^2
(-9290/8443 : 1791/8443 : 1) C2a (-1565700694/38985049 : -42630437/38985049 : 1)
** u= -146/89 ; C1 -8945*x^2 - 29237*y^2 + 12593*z^2
(1995/1717 : 2968/22321 : 1) C2a (191602/116361 : -6751/216099 : 1)
** u= -146/133 ; C1 -32089*x^2 - 39005*y^2 + 35209*z^2
(2393/4457 : -3636/4457 : 1) C2a (1293616/1574321 : 17855/1574321 : 1)
** u= -146/157 ; C1 -52873*x^2 - 45965*y^2 + 49177*z^2
(-50842/75291 : -55601/75291 : 1) C2a (3958/601 : -181/601 : 1)
** u= -145/69 ; C1 -4810*x^2 - 25786*y^2 + 3746*z^2
(2413/2761 : 146/2761 : 1) C2a (166319/41221 : -2361/41221 : 1)
** u= -145/77 ; C1 {+/-} -6010*x^2 + 26954*y^2 + 7234*z^2
(-7066/7937 : -2403/7937 : 1) C2a (1662913/63263 : 38207/63263 : 1) C2b (59004/42481 : -793/42481 : 1)
** u= -145/117 ; C1 -21610*x^2 - 34714*y^2 + 26594*z^2
(3506/3361 : -1001/3361 : 1) C2a (4023967/4469263 : 32427/4469263 : 1)
** u= -144/67 ; C1 -4589*x^2 + 25225*y^2 + 3049*z^2
(-3236/3975 : -347/19875 : 1) C2b (-615525/271657 : -17489/1358285 : 1)
** u= -144/73 ; C1 -5333*x^2 + 26065*y^2 + 5617*z^2
(-9831/10763 : 2278/10763 : 1) C2b (-32527/27031 : 747/27031 : 1)
** u= -144/83 ; C1 -7373*x^2 + 27625*y^2 + 10057*z^2
(-84/107 : -239/535 : 1) C2b (103813/90359 : -9039/451795 : 1)
** u= -144/119 ; C1 -22997*x^2 + 34897*y^2 + 27697*z^2
(-9595/36033 : -31142/36033 : 1) C2b (45621/792167 : -26867/792167 : 1)
** u= -144/133 ; C1 -32573*x^2 + 38425*y^2 + 35257*z^2
(1556/2073 : -1375/2073 : 1) C2b (-327085/457397 : -26667/2286985 : 1)
** u= -144/143 ; C1 -40613*x^2 + 41185*y^2 + 40897*z^2
(9491/9513 : -1018/9513 : 1) C2b (53063333/78323621 : 760017/78323621 : 1)
** u= -144/151 ; C1 -47765*x^2 + 43537*y^2 + 45553*z^2
(456/19127 : -19559/19127 : 1) C2b (-23823/40991 : -637/40991 : 1)
** u= -144/181 ; C1 -80285*x^2 + 53497*y^2 + 64153*z^2
(-471320/578421 : 260453/578421 : 1) C2b (193563/467929 : -8563/467929 : 1)
** u= -142/65 ; C1 -4369*x^2 - 24389*y^2 + 2521*z^2
(70/103 : -429/2987 : 1) C2a (-179528/4007 : -74249/116203 : 1)
** u= -142/107 ; C1 -16633*x^2 - 31613*y^2 + 21673*z^2
(88630/82393 : 22827/82393 : 1) C2a (2252992/685625 : -79351/685625 : 1)
** u= -142/135 ; C1 -34609*x^2 - 38389*y^2 + 36401*z^2
(-121/575 : -548/575 : 1) C2a (-135224/36301 : -5733/36301 : 1)
** u= -142/143 ; C1 -41185*x^2 - 40613*y^2 + 40897*z^2
(-7105/101223 : 101324/101223 : 1) C2a (20925296/806647 : 932687/806647 : 1)
** u= -142/163 ; C1 -60425*x^2 - 46733*y^2 + 52697*z^2
(-9737/34175 : -6912/6835 : 1) C2a (-670442/197331 : -31111/197331 : 1)
** u= -141/161 ; C1 {+/-} -58682*x^2 + 45802*y^2 + 51442*z^2
(20043/21977 : 5270/21977 : 1) C2a (-439393/234311 : 1149/13783 : 1) C2b (248216/407065 : -117/23945 : 1)
** u= -141/169 ; C1 {+/-} -67370*x^2 + 48442*y^2 + 56338*z^2
(69507/78221 : -19922/78221 : 1) C2a (39257/28501 : -1701/28501 : 1) C2b (15972/27221 : -53/27221 : 1)
** u= -140/59 ; C1 -3965*x^2 + 23081*y^2 + 401*z^2
(265/1201 : -114/1201 : 1) C2b (719383/225103 : 7279/225103 : 1)
** u= -140/67 ; C1 -4525*x^2 + 24089*y^2 + 3649*z^2
(3049/7425 : 514/1485 : 1) C2b (-3487293/3350285 : -109283/3350285 : 1)
** u= -140/71 ; C1 -5045*x^2 + 24641*y^2 + 5321*z^2
(303/8729 : 4054/8729 : 1) C2b (172523/856153 : 31601/856153 : 1)
** u= -140/109 ; C1 -17965*x^2 + 31481*y^2 + 22801*z^2
(9664/9093 : 2567/9093 : 1) C2b (-4401513/4808293 : 29/31843 : 1)
** u= -140/113 ; C1 -20165*x^2 + 32369*y^2 + 24809*z^2
(-65968/73897 : 38397/73897 : 1) C2b (-2768237/3386693 : 43139/3386693 : 1)
** u= -140/137 ; C1 -36725*x^2 + 38369*y^2 + 37529*z^2
(77796/93505 : -10505/18701 : 1) C2b (-831097/3783007 : 114439/3783007 : 1)
** u= -140/163 ; C1 -61165*x^2 + 46169*y^2 + 52609*z^2
(-29233/32697 : 9278/32697 : 1) C2b (4027691/6877899 : -51173/6877899 : 1)
** u= -140/173 ; C1 -72365*x^2 + 49529*y^2 + 58769*z^2
(-7965/8963 : 1622/8963 : 1) C2b (2522771/4437895 : 7111/4437895 : 1)
** u= -139/71 ; C1 {+/-} -5050*x^2 + 24362*y^2 + 5458*z^2
(5546/14075 : -1233/2815 : 1) C2a (272761/94415 : 4541/94415 : 1) C2b (160156/169665 : 5323/169665 : 1)
** u= -139/135 ; C1 -35386*x^2 + 37546*y^2 + 36434*z^2
(431/1795 : -1718/1795 : 1) C2b (311338/462047 : 5577/462047 : 1)
** u= -139/183 ; C1 {+/-} -85018*x^2 + 52810*y^2 + 65042*z^2
(1073/4619 : -4942/4619 : 1) C2a (56286479/18588307 : -2732535/18588307 : 1) C2b (1978448/3822551 : -22533/3822551 :
1)
** u= -138/61 ; C1 -3977*x^2 - 22765*y^2 + 1513*z^2
(354/647 : 77/647 : 1) C2a (254636/55907 : -2037/55907 : 1)
** u= -138/65 ; C1 -4289*x^2 - 23269*y^2 + 3121*z^2
(-2270/11499 : 4097/11499 : 1) C2a (68822/29745 : 157/29745 : 1)
** u= -138/97 ; C1 -12545*x^2 - 28453*y^2 + 17137*z^2
(15375/29537 : -20524/29537 : 1) C2a (-3170216/1177805 : -100989/1177805 : 1)
** u= -138/133 ; C1 -34073*x^2 - 36733*y^2 + 35353*z^2
(230658/278507 : 159065/278507 : 1) C2a (172165364/4684065 : 7503337/4684065 : 1)
** u= -138/149 ; C1 -47801*x^2 - 41245*y^2 + 44281*z^2
(3473/14097 : 14120/14097 : 1) C2a (745252/214407 : -33697/214407 : 1)
** u= -138/167 ; C1 -66305*x^2 - 46933*y^2 + 54937*z^2
(-49234/89769 : -77513/89769 : 1) C2a (188738/302501 : -3261/302501 : 1)
** u= -138/181 ; C1 -82937*x^2 - 51805*y^2 + 63673*z^2
(149423/195321 : -105572/195321 : 1) C2a (-303626/318323 : -12399/318323 : 1)
** u= -138/187 ; C1 -90665*x^2 - 54013*y^2 + 67537*z^2
(-53875/108351 : -99032/108351 : 1) C2a (-2801552/593699 : -138369/593699 : 1)
** u= -138/197 ; C1 -104345*x^2 - 57853*y^2 + 74137*z^2
(-3661/8301 : -8008/8301 : 1) C2a (2513798/117281 : -126411/117281 : 1)
** u= -137/61 ; C1 {+/-} -3946*x^2 + 22490*y^2 + 1666*z^2
(742/2697 : 665/2697 : 1) C2a (-953389/67739 : -1607/9677 : 1) C2b (-160858/85113 : -359/12159 : 1)
** u= -137/93 ; C1 -11050*x^2 - 27418*y^2 + 15362*z^2
(-257/269 : 118/269 : 1) C2a (411363/205679 : -11531/205679 : 1)
** u= -137/101 ; C1 {+/-} -14426*x^2 + 28970*y^2 + 19106*z^2
(-1431/3649 : -2786/3649 : 1) C2a (141529/90459 : 3997/90459 : 1) C2b (121246/734911 : -25453/734911 : 1)
** u= -137/109 ; C1 -18442*x^2 + 30650*y^2 + 22978*z^2
(1246/1293 : -565/1293 : 1) C2b (39156/65459 : 8371/327295 : 1)
** u= -137/133 ; C1 {+/-} -34330*x^2 + 36458*y^2 + 35362*z^2
(15217/67113 : -64426/67113 : 1) C2a (-7541323/111265 : -329993/111265 : 1) C2b (995884/2247303 : -56849/2247303 : 1)
** u= -137/165 ; C1 -64474*x^2 - 45994*y^2 + 53666*z^2
(-10862/44665 : 46501/44665 : 1) C2a (18557191/31702429 : -21957/31702429 : 1)
** u= -137/181 ; C1 -83386*x^2 + 51530*y^2 + 63586*z^2
(-18601/30809 : -24726/30809 : 1) C2b (751416/1485121 : -11345/1485121 : 1)
** u= -136/95 ; C1 -11941*x^2 + 27521*y^2 + 16369*z^2
(2269/2577 : -1310/2577 : 1) C2b (-3585799/9035505 : 297163/9035505 : 1)
** u= -136/99 ; C1 -13645*x^2 + 28297*y^2 + 18233*z^2
(-13840/12263 : 2129/12263 : 1) C2b (42497/207635 : -7161/207635 : 1)
** u= -136/113 ; C1 -20869*x^2 + 31265*y^2 + 25009*z^2
(4001/6251 : 58962/81263 : 1) C2b (-3027/3823 : -631/49699 : 1)
** u= -134/119 ; C1 -24977*x^2 - 32117*y^2 + 28097*z^2
(-10922/38837 : -35025/38837 : 1) C2a (-197768/178299 : 5717/178299 : 1)
** u= -134/139 ; C1 -40057*x^2 - 37277*y^2 + 38617*z^2
(3013/34755 : 35236/34755 : 1) C2a (5886112/7942015 : 4543/345305 : 1)
** u= -134/143 ; C1 -43553*x^2 - 38405*y^2 + 40817*z^2
(-3087/53519 : -55076/53519 : 1) C2a (-9932/9849 : -7/201 : 1)
** u= -134/147 ; C1 -47209*x^2 - 39565*y^2 + 43049*z^2
(9029/12659 : -8780/12659 : 1) C2a (1515656/850781 : -65493/850781 : 1)
** u= -134/177 ; C1 -79729*x^2 - 49285*y^2 + 60809*z^2
(-250943/402037 : 312340/402037 : 1) C2a (-33478072/5073467 : 235287/724781 : 1)
** u= -133/73 ; C1 {+/-} -5498*x^2 + 23018*y^2 + 7058*z^2
(-2598/2293 : 5/2293 : 1) C2a (2460011/587463 : -56509/587463 : 1) C2b (-685544/865375 : 27131/865375 : 1)
** u= -133/81 ; C1 {+/-} -7402*x^2 + 24250*y^2 + 10418*z^2
(-1922/2221 : -4979/11105 : 1) C2a (-77779/20443 : -2139/20443 : 1) C2b (-248/261 : 31/1305 : 1)
** u= -133/89 ; C1 -9946*x^2 - 25610*y^2 + 13906*z^2
(2801/2901 : -1234/2901 : 1) C2a (-250391/190559 : 4517/190559 : 1)
** u= -133/97 ; C1 {+/-} -13130*x^2 + 27098*y^2 + 17522*z^2
(581/2389 : 1878/2389 : 1) C2a (875813/715041 : -18559/715041 : 1) C2b (32242/39691 : -793/39691 : 1)
** u= -133/113 ; C1 {+/-} -21418*x^2 + 30458*y^2 + 25138*z^2
(5050/6249 : 3781/6249 : 1) C2a (-1415777/570389 : -53827/570389 : 1) C2b (4658/5871 : 61/5871 : 1)
** u= -133/137 ; C1 {+/-} -38650*x^2 + 36458*y^2 + 37522*z^2
(-667/1217 : 1026/1217 : 1) C2a (-1816099/2127137 : 48677/2127137 : 1) C2b (-296/1455 : 43/1455 : 1)
** u= -133/153 ; C1 {+/-} -53338*x^2 + 41098*y^2 + 46418*z^2
(767/8293 : 8770/8293 : 1) C2a (-221563/355559 : 1803/355559 : 1) C2b (-5713868/10307511 : -128299/10307511 : 1)
** u= -133/193 ; C1 {+/-} -101258*x^2 + 54938*y^2 + 70898*z^2
(45081/56809 : 20470/56809 : 1) C2a (-534390611/317935245 : 25882267/317935245 : 1) C2b (-299246/811417 :
-12157/811417 : 1)
** u= -132/71 ; C1 -5141*x^2 + 22465*y^2 + 6361*z^2
(-11252/10743 : 1925/10743 : 1) C2b (-42479/30421 : -507/30421 : 1)
** u= -132/125 ; C1 -29549*x^2 + 33049*y^2 + 31201*z^2
(24304/24285 : -5353/24285 : 1) C2b (-379633/1966127 : 61233/1966127 : 1)
** u= -132/133 ; C1 -35645*x^2 + 35113*y^2 + 35377*z^2
(32197/32451 : 2938/32451 : 1) C2b (648547/1153309 : 21597/1153309 : 1)
** u= -132/167 ; C1 -68693*x^2 + 45313*y^2 + 54553*z^2
(-13299/64109 : 68410/64109 : 1) C2b (2755839/7494655 : -151961/7494655 : 1)
** u= -131/159 ; C1 {+/-} -60250*x^2 + 42442*y^2 + 49778*z^2
(41587/45895 : 782/9179 : 1) C2a (-69913/117349 : -759/117349 : 1) C2b (304624/567637 : 6039/567637 : 1)
** u= -130/89 ; C1 -10225*x^2 - 24821*y^2 + 14161*z^2
(46529/43825 : 2856/8765 : 1) C2a (682036/468979 : 131/3941 : 1)
** u= -130/93 ; C1 -11785*x^2 - 25549*y^2 + 15929*z^2
(2575/2689 : 1204/2689 : 1) C2a (66/59 : -1/59 : 1)
** u= -130/121 ; C1 -27185*x^2 - 31541*y^2 + 29201*z^2
(-44498/56747 : -35703/56747 : 1) C2a (-3187022/3622365 : -68689/3622365 : 1)
** u= -130/149 ; C1 -50425*x^2 - 39101*y^2 + 44041*z^2
(30094/129495 : 26623/25899 : 1) C2a (78287576/3716585 : 3690217/3716585 : 1)
** u= -130/157 ; C1 -58505*x^2 - 41549*y^2 + 48569*z^2
(57422/64127 : -12813/64127 : 1) C2a (1529022/1651007 : 57043/1651007 : 1)
** u= -130/161 ; C1 -62785*x^2 - 42821*y^2 + 50881*z^2
(3142/16683 : 17783/16683 : 1) C2a (14338172/6411173 : -671693/6411173 : 1)
** u= -130/177 ; C1 -81505*x^2 - 48229*y^2 + 60449*z^2
(-14834/47111 : 49091/47111 : 1) C2a (31924/32311 : 1359/32311 : 1)
** u= -130/179 ; C1 -84025*x^2 - 48941*y^2 + 61681*z^2
(-7003/17775 : -3544/3555 : 1) C2a (-807814/1599095 : -2063/1599095 : 1)
** u= -130/199 ; C1 -111425*x^2 - 56501*y^2 + 74441*z^2
(-34281/43195 : 2372/8639 : 1) C2a (-14057732/13047885 : 653969/13047885 : 1)
** u= -129/85 ; C1 -8906*x^2 + 23866*y^2 + 12514*z^2
(-3706/4305 : 2143/4305 : 1) C2b (-189506/325105 : -9993/325105 : 1)
** u= -129/173 ; C1 -77018*x^2 - 46570*y^2 + 57922*z^2
(7617/11009 : 7402/11009 : 1) C2a (4159307/7992939 : -5597/7992939 : 1)
** u= -128/61 ; C1 -3757*x^2 + 20105*y^2 + 2953*z^2
(14464/18853 : 213/1109 : 1) C2b (256211/140727 : -2909/140727 : 1)
** u= -128/85 ; C1 -8989*x^2 + 23609*y^2 + 12601*z^2
(19736/22513 : 11055/22513 : 1) C2b (286167/301975 : -5621/301975 : 1)
** u= -128/87 ; C1 -9685*x^2 + 23953*y^2 + 13457*z^2
(8077/7337 : 1966/7337 : 1) C2b (314087/343205 : 6441/343205 : 1)
** u= -128/103 ; C1 -16693*x^2 + 26993*y^2 + 20593*z^2
(-9091/11641 : 7230/11641 : 1) C2b (-2186179/2871417 : -49933/2871417 : 1)
** u= -128/133 ; C1 -36733*x^2 + 34073*y^2 + 35353*z^2
(-12080/34133 : -32427/34133 : 1) C2b (-344619/2232647 : 66973/2232647 : 1)
** u= -128/135 ; C1 -38389*x^2 + 34609*y^2 + 36401*z^2
(-8809/12085 : -8218/12085 : 1) C2b (-988537/1761063 : 29413/1761063 : 1)
** u= -128/143 ; C1 -45413*x^2 + 36833*y^2 + 40673*z^2
(-125621/137761 : 38730/137761 : 1) C2b (308923/648005 : 12577/648005 : 1)
** u= -128/149 ; C1 -51101*x^2 + 38585*y^2 + 43961*z^2
(8436/31181 : 31835/31181 : 1) C2b (52637/326743 : 9059/326743 : 1)
** u= -127/67 ; C1 -4538*x^2 - 20618*y^2 + 5378*z^2
(-365/539 : -2802/7007 : 1) C2a (257413/11355 : -75743/147615 : 1)
** u= -127/99 ; C1 {+/-} -14842*x^2 + 25930*y^2 + 18818*z^2
(2231/2543 : 1358/2543 : 1) C2a (-1864103/1985299 : 165/20467 : 1) C2b (-1044284/1265947 : -195/13051 : 1)
** u= -127/163 ; C1 {+/-} -66170*x^2 + 42698*y^2 + 51842*z^2
(34293/39139 : -6118/39139 : 1) C2a (859491/438725 : 251/2725 : 1) C2b (259292/930419 : 133/5779 : 1)
** u= -127/179 ; C1 -85402*x^2 - 48170*y^2 + 61378*z^2
(-14962/28619 : 25431/28619 : 1) C2a (-24933361/2169503 : -1249433/2169503 : 1)
** u= -126/85 ; C1 -9161*x^2 - 23101*y^2 + 12769*z^2
(18306/24055 : 13673/24055 : 1) C2a (3981602/3625605 : 179/32085 : 1)
** u= -126/101 ; C1 -15977*x^2 - 26077*y^2 + 19777*z^2
(1710/19271 : -16729/19271 : 1) C2a (-1312372/1445035 : -10881/1445035 : 1)
** u= -126/121 ; C1 -28097*x^2 - 30517*y^2 + 29257*z^2
(-24542/26487 : -10865/26487 : 1) C2a (591256/741015 : -9907/741015 : 1)
** u= -126/127 ; C1 -32513*x^2 - 32005*y^2 + 32257*z^2
(3342/9149 : 8545/9149 : 1) C2a (487052/245309 : 20325/245309 : 1)
** u= -126/157 ; C1 -59993*x^2 - 40525*y^2 + 48337*z^2
(-2926/18099 : 97217/90495 : 1) C2a (-822712/168507 : -198283/842535 : 1)
** u= -126/185 ; C1 -93761*x^2 - 50101*y^2 + 64969*z^2
(-2837/55425 : 62996/55425 : 1) C2a (1315418/401367 : -65881/401367 : 1)
** u= -126/191 ; C1 -102017*x^2 - 52357*y^2 + 68737*z^2
(-1039167/8056895 : -536288/473935 : 1) C2a (-200643542/45319749 : -10162807/45319749 : 1)
** u= -124/63 ; C1 -3973*x^2 + 19345*y^2 + 4217*z^2
(23864/23383 : 1493/23383 : 1) C2b (20441/27987 : -949/27987 : 1)
** u= -124/75 ; C1 -6301*x^2 + 21001*y^2 + 8849*z^2
(13240/15151 : -6643/15151 : 1) C2b (154471/236215 : 7383/236215 : 1)
** u= -124/105 ; C1 -18421*x^2 + 26401*y^2 + 21689*z^2
(23/55 : -46/55 : 1) C2b (-70181/89769 : 47/3903 : 1)
** u= -124/137 ; C1 -41269*x^2 + 34145*y^2 + 37369*z^2
(-149188/531017 : -530757/531017 : 1) C2b (-107571/413689 : -11239/413689 : 1)
** u= -124/179 ; C1 -86797*x^2 + 47417*y^2 + 61057*z^2
(748147/974245 : -444534/974245 : 1) C2b (-711821/2460477 : -46973/2460477 : 1)
** u= -124/191 ; C1 -103045*x^2 + 51857*y^2 + 68473*z^2
(-25124/31139 : -5103/31139 : 1) C2b (-463831/1802205 : 32603/1802205 : 1)
** u= -123/119 ; C1 {+/-} -27386*x^2 + 29290*y^2 + 28306*z^2
(-3834/31051 : -30299/31051 : 1) C2a (-732409/150559 : -31629/150559 : 1) C2b (-560734/1989191 : -58593/1989191 : 1)
** u= -123/199 ; C1 {+/-} -115226*x^2 + 54730*y^2 + 73426*z^2
(-3141/5399 : -4282/5399 : 1) C2a (3863357/1898037 : 194791/1898037 : 1) C2b (-886692/2381893 : -20561/2381893 : 1)
** u= -122/53 ; C1 -3065*x^2 - 17693*y^2 + 857*z^2
(2202/8131 : -1537/8131 : 1) C2a (-8720246/114525 : -85169/114525 : 1)
** u= -122/59 ; C1 -3497*x^2 - 18365*y^2 + 2993*z^2
(3486/12277 : -4717/12277 : 1) C2a (1074282/41879 : 19207/41879 : 1)
** u= -122/95 ; C1 -13649*x^2 - 23909*y^2 + 17321*z^2
(15954/29945 : -22457/29945 : 1) C2a (-13846452/5988713 : 480859/5988713 : 1)
** u= -122/127 ; C1 -33553*x^2 - 31013*y^2 + 32233*z^2
(11894/21225 : 17753/21225 : 1) C2a (6435688/279991 : 291403/279991 : 1)
** u= -122/151 ; C1 -55201*x^2 - 37685*y^2 + 44761*z^2
(96074/106749 : -3821/106749 : 1) C2a (392968/450973 : -14423/450973 : 1)
** u= -122/167 ; C1 -72833*x^2 - 42773*y^2 + 53753*z^2
(-4165/17831 : -19236/17831 : 1) C2a (-11648436/2627317 : 82343/375331 : 1)
** u= -122/171 ; C1 -77641*x^2 - 44125*y^2 + 56081*z^2
(-326/401 : -659/2005 : 1) C2a (354772/215617 : -84759/1078085 : 1)
** u= -122/187 ; C1 -98473*x^2 - 49853*y^2 + 65713*z^2
(45383/58963 : -22680/58963 : 1) C2a (324592/116825 : -16349/116825 : 1)
** u= -122/193 ; C1 -106945*x^2 - 52133*y^2 + 69457*z^2
(62578/154827 : -154609/154827 : 1) C2a (-51042512/3350711 : 2616841/3350711 : 1)
** u= -121/61 ; C1 {+/-} -3722*x^2 + 18362*y^2 + 3842*z^2
(897/4645 : -2086/4645 : 1) C2a (388839/50293 : -7679/50293 : 1) C2b (-1741708/1865779 : 59609/1865779 : 1)
** u= -121/85 ; C1 -9626*x^2 - 21866*y^2 + 13154*z^2
(-75/109 : -1982/3161 : 1) C2a (929737/500427 : 772871/14512383 : 1)
** u= -121/101 ; C1 -16762*x^2 + 24842*y^2 + 20002*z^2
(2815/3009 : 82/177 : 1) C2b (58578/251701 : 8201/251701 : 1)
** u= -121/141 ; C1 -45802*x^2 - 34522*y^2 + 39362*z^2
(-17471/31981 : -27590/31981 : 1) C2a (-429089/157207 : 19851/157207 : 1)
** u= -121/189 ; C1 {+/-} -101770*x^2 + 50362*y^2 + 66818*z^2
(638/1061 : -10649/13793 : 1) C2a (-4137/611 : -2747/7943 : 1) C2b (-76796/195845 : -22851/2545985 : 1)
** u= -120/61 ; C1 -3725*x^2 + 18121*y^2 + 3961*z^2
(-4928/6225 : -373/1245 : 1) C2b (-606891/880511 : -30173/880511 : 1)
** u= -120/83 ; C1 -9005*x^2 + 21289*y^2 + 12409*z^2
(-15000/12811 : 701/12811 : 1) C2b (-1447101/1981321 : 50827/1981321 : 1)
** u= -120/167 ; C1 -73685*x^2 + 42289*y^2 + 53569*z^2
(-16223/20757 : -9338/20757 : 1) C2b (233769/486149 : 3167/486149 : 1)
** u= -120/169 ; C1 -76085*x^2 + 42961*y^2 + 54721*z^2
(-4719/14587 : 15218/14587 : 1) C2b (-12207/49805 : -1063/49805 : 1)
** u= -119/83 ; C1 {+/-} -9098*x^2 + 21050*y^2 + 12482*z^2
(-3318/3131 : 1027/3131 : 1) C2a (-378985/329667 : 349/20865 : 1) C2b (566254/1088857 : -425/13783 : 1)
** u= -119/99 ; C1 -16042*x^2 - 23962*y^2 + 19202*z^2
(5431/6059 : 3110/6059 : 1) C2a (562851/273817 : 20371/273817 : 1)
** u= -119/123 ; C1 {+/-} -31258*x^2 + 29290*y^2 + 30242*z^2
(-6647/8111 : 4558/8111 : 1) C2a (7838529/10266773 : -157139/10266773 : 1) C2b (158582/259159 : 3579/259159 : 1)
** u= -119/139 ; C1 -44602*x^2 + 33482*y^2 + 38242*z^2
(5803/9627 : 7810/9627 : 1) C2b (-805148/1408305 : 13073/1408305 : 1)
** u= -118/49 ; C1 -2801*x^2 - 16325*y^2 + 41*z^2
(-62/619 : -87/3095 : 1) C2a (-38292/1477 : 65/1477 : 1)
** u= -118/55 ; C1 -3089*x^2 - 16949*y^2 + 2081*z^2
(-8733/13955 : 3164/13955 : 1) C2a (-5102/1983 : -29/1983 : 1)
** u= -118/105 ; C1 -19489*x^2 - 24949*y^2 + 21881*z^2
(-49397/65689 : -43340/65689 : 1) C2a (229626/251405 : -4699/251405 : 1)
** u= -118/125 ; C1 -33049*x^2 - 29549*y^2 + 31201*z^2
(-32815/38349 : 18668/38349 : 1) C2a (-106558/6707 : -4861/6707 : 1)
** u= -118/129 ; C1 -36241*x^2 - 30565*y^2 + 33161*z^2
(17378/75523 : 76355/75523 : 1) C2a (-414752/151703 : 18651/151703 : 1)
** u= -118/141 ; C1 -46777*x^2 - 33805*y^2 + 39233*z^2
(-3527/10549 : -10580/10549 : 1) C2a (-903942/1326311 : 21655/1326311 : 1)
** u= -117/49 ; C1 -2762*x^2 - 16090*y^2 + 178*z^2
(-2/561 : -59/561 : 1) C2a (-608033/3279 : -2839/3279 : 1)
** u= -117/73 ; C1 {+/-} -6170*x^2 + 19018*y^2 + 8722*z^2
(-3675/4393 : -2114/4393 : 1) C2a (-205391/97615 : 723/13945 : 1) C2b (-19302/20101 : -443/20101 : 1)
** u= -117/89 ; C1 {+/-} -11642*x^2 + 21610*y^2 + 15058*z^2
(-20654/18177 : 641/18177 : 1) C2a (1400117/253389 : 51175/253389 : 1) C2b (16376/135313 : 4677/135313 : 1)
** u= -117/97 ; C1 -15338*x^2 - 23098*y^2 + 18418*z^2
(-138/3005 : 2681/3005 : 1) C2a (-99739/7587 : 3949/7587 : 1)
** u= -117/161 ; C1 {+/-} -67946*x^2 + 39610*y^2 + 49906*z^2
(-31406/38229 : 12223/38229 : 1) C2a (-765257/282823 : 37497/282823 : 1) C2b (20172/41297 : -263/41297 : 1)
** u= -117/193 ; C1 -109610*x^2 + 50938*y^2 + 68722*z^2
(-702/23609 : -27403/23609 : 1) C2b (8696/22823 : -129/22823 : 1)
** u= -116/55 ; C1 -3061*x^2 + 16481*y^2 + 2329*z^2
(-5660/7207 : -1179/7207 : 1) C2b (79847/37017 : 353/37017 : 1)
** u= -116/83 ; C1 -9389*x^2 + 20345*y^2 + 12689*z^2
(8779/7589 : -594/7589 : 1) C2b (-7301/224569 : -7945/224569 : 1)
** u= -116/95 ; C1 -14501*x^2 + 22481*y^2 + 17609*z^2
(-12/3079 : -2725/3079 : 1) C2b (571727/1433563 : -43397/1433563 : 1)
** u= -116/101 ; C1 -17597*x^2 + 23657*y^2 + 20177*z^2
(-5388/16025 : 14051/16025 : 1) C2b (906149/1304987 : -22667/1304987 : 1)
** u= -116/105 ; C1 -19861*x^2 + 24481*y^2 + 21929*z^2
(-7976/7597 : 295/7597 : 1) C2b (149055551/275075781 : 6515491/275075781 : 1)
** u= -116/195 ; C1 -113101*x^2 + 51481*y^2 + 69809*z^2
(132896/212507 : 149785/212507 : 1) C2b (-514631/1878205 : -26253/1878205 : 1)
** u= -115/63 ; C1 -4090*x^2 - 17194*y^2 + 5234*z^2
(4642/7243 : 3293/7243 : 1) C2a (73281/41245 : -953/41245 : 1)
** u= -115/87 ; C1 {+/-} -11050*x^2 + 20794*y^2 + 14354*z^2
(14/115 : 19/23 : 1) C2a (1161909/985801 : -25609/985801 : 1) C2b (-193106/468731 : -14727/468731 : 1)
** u= -115/103 ; C1 -18890*x^2 - 23834*y^2 + 21074*z^2
(-942/5779 : 5369/5779 : 1) C2a (-8945781/972229 : -372389/972229 : 1)
** u= -115/127 ; C1 -35450*x^2 + 29354*y^2 + 32114*z^2
(-1659/1879 : 734/1879 : 1) C2b (1473022/2326135 : -10007/2326135 : 1)
** u= -115/183 ; C1 -96490*x^2 + 46714*y^2 + 62354*z^2
(24817/33791 : -15874/33791 : 1) C2b (1795382/4311223 : 8829/4311223 : 1)
** u= -115/199 ; C1 {+/-} -119690*x^2 + 52826*y^2 + 72146*z^2
(1565/21499 : 25014/21499 : 1) C2a (-74396191/1624911 : -3863041/1624911 : 1) C2b (885986/3073021 : -36137/3073021 :
1)
** u= -114/77 ; C1 -7529*x^2 - 18925*y^2 + 10489*z^2
(-7706/11211 : 6785/11211 : 1) C2a (628642/383349 : -78053/1916745 : 1)
** u= -114/91 ; C1 -12905*x^2 - 21277*y^2 + 16033*z^2
(-145314/185161 : -114137/185161 : 1) C2a (1198234/757617 : -38183/757617 : 1)
** u= -114/101 ; C1 -17945*x^2 - 23197*y^2 + 20233*z^2
(33878/32151 : -3707/32151 : 1) C2a (2740654/1599695 : -100611/1599695 : 1)
** u= -114/103 ; C1 -19073*x^2 - 23605*y^2 + 21097*z^2
(-3842/3669 : 323/3669 : 1) C2a (621374/287623 : 1431/16919 : 1)
** u= -114/173 ; C1 -83753*x^2 - 42925*y^2 + 56377*z^2
(2022/5335 : 27113/26675 : 1) C2a (822428/1666635 : 88871/8333175 : 1)
** u= -113/133 ; C1 {+/-} -41098*x^2 + 30458*y^2 + 34978*z^2
(11122/33645 : -33661/33645 : 1) C2a (35881/59563 : 169/59563 : 1) C2b (19084/836973 : -23873/836973 : 1)
** u= -113/165 ; C1 {+/-} -74314*x^2 + 39994*y^2 + 51746*z^2
(4190/31013 : -34811/31013 : 1) C2a (158011/73915 : 7791/73915 : 1) C2b (-149632/325757 : -1617/325757 : 1)
** u= -113/181 ; C1 {+/-} -94762*x^2 + 45530*y^2 + 60898*z^2
(86/453 : -509/453 : 1) C2a (321149/136043 : 16247/136043 : 1) C2b (-8634/244007 : -5177/244007 : 1)
** u= -112/65 ; C1 -4549*x^2 + 16769*y^2 + 6241*z^2
(3871/3315 : 158/3315 : 1) C2b (-3899/41001 : -19/519 : 1)
** u= -112/67 ; C1 -4973*x^2 + 17033*y^2 + 6953*z^2
(6020/5363 : 1077/5363 : 1) C2b (5985887/6911255 : 186997/6911255 : 1)
** u= -112/83 ; C1 -9805*x^2 + 19433*y^2 + 12937*z^2
(-6416/16723 : -12861/16723 : 1) C2b (37349/241563 : -8369/241563 : 1)
** u= -112/113 ; C1 -25765*x^2 + 25313*y^2 + 25537*z^2
(-37667/37959 : 3082/37959 : 1) C2b (87519/183065 : -4187/183065 : 1)
** u= -112/117 ; C1 -28573*x^2 + 26233*y^2 + 27353*z^2
(24844/25501 : -2405/25501 : 1) C2b (-97411/150993 : 1403/150993 : 1)
** u= -112/135 ; C1 -43189*x^2 + 30769*y^2 + 35921*z^2
(18755/207929 : 223562/207929 : 1) C2b (-2373101/4072941 : -9511/4072941 : 1)
** u= -112/145 ; C1 -52709*x^2 + 33569*y^2 + 40961*z^2
(-38357/47759 : -21750/47759 : 1) C2b (991969/1849109 : 6521/1849109 : 1)
** u= -112/171 ; C1 -82141*x^2 + 41785*y^2 + 55001*z^2
(13229/16489 : 3722/16489 : 1) C2b (-344909/948151 : -12237/948151 : 1)
** u= -112/191 ; C1 -109381*x^2 + 49025*y^2 + 66721*z^2
(-280/519 : -2189/2595 : 1) C2b (-67005/189269 : -6187/946345 : 1)
** u= -111/83 ; C1 -9914*x^2 - 19210*y^2 + 12994*z^2
(-1518/3623 : -2773/3623 : 1) C2a (98497/30903 : -3433/30903 : 1)
** u= -110/59 ; C1 -3545*x^2 - 15581*y^2 + 4361*z^2
(-1666/1993 : 693/1993 : 1) C2a (-12206198/350847 : -40949/50121 : 1)
** u= -110/63 ; C1 -4225*x^2 - 16069*y^2 + 5729*z^2
(283/299 : -8/23 : 1) C2a (2455278/283735 : -64301/283735 : 1)
** u= -110/79 ; C1 -8545*x^2 - 18341*y^2 + 11521*z^2
(3877/3843 : 1508/3843 : 1) C2a (-3670354/541259 : 127831/541259 : 1)
** u= -110/93 ; C1 -14425*x^2 - 20749*y^2 + 17009*z^2
(-193/3605 : 652/721 : 1) C2a (7322572/2223377 : 284883/2223377 : 1)
** u= -110/97 ; C1 -16465*x^2 - 21509*y^2 + 18649*z^2
(-5591/52637 : -48768/52637 : 1) C2a (-21344/11065 : -803/11065 : 1)
** u= -110/137 ; C1 -45665*x^2 - 30869*y^2 + 36809*z^2
(48422/59339 : -27021/59339 : 1) C2a (332542/444753 : 10577/444753 : 1)
** u= -110/159 ; C1 -68545*x^2 - 37381*y^2 + 48161*z^2
(191938/253433 : -123277/253433 : 1) C2a (1797552/1472825 : 83489/1472825 : 1)
** u= -110/167 ; C1 -78065*x^2 - 39989*y^2 + 52529*z^2
(2557/31523 : -35952/31523 : 1) C2a (-798072/733555 : 37061/733555 : 1)
** u= -109/185 ; C1 {+/-} -102346*x^2 + 46106*y^2 + 62674*z^2
(-10306/43237 : -48015/43237 : 1) C2a (22327/57895 : 217/57895 : 1) C2b (-397164/1686439 : -25921/1686439 : 1)
** u= -109/193 ; C1 {+/-} -113978*x^2 + 49130*y^2 + 67442*z^2
(-142/1121 : -22023/19057 : 1) C2a (-214681/394113 : -145019/6699921 : 1) C2b (-69418/206699 : 19243/3513883 : 1)
** u= -108/49 ; C1 -2501*x^2 + 14065*y^2 + 1321*z^2
(-7257/12503 : 2306/12503 : 1) C2b (254917/96827 : -1005/96827 : 1)
** u= -108/101 ; C1 -19037*x^2 + 21865*y^2 + 20353*z^2
(-6563/13011 : -10958/13011 : 1) C2b (-1107599/1938017 : 41145/1938017 : 1)
** u= -108/139 ; C1 -48221*x^2 + 30985*y^2 + 37681*z^2
(5369/6369 : -2114/6369 : 1) C2b (-113853/308533 : 6059/308533 : 1)
** u= -108/161 ; C1 -71717*x^2 + 37585*y^2 + 49033*z^2
(-8208/17141 : 15961/17141 : 1) C2b (-35813/132481 : 2481/132481 : 1)
** u= -108/169 ; C1 -81461*x^2 + 40225*y^2 + 53401*z^2
(-9672/30793 : -617/581 : 1) C2b (-185389/858745 : 81357/4293725 : 1)
** u= -108/199 ; C1 -123701*x^2 + 51265*y^2 + 70921*z^2
(19103/33513 : 25946/33513 : 1) C2b (321931/1146209 : -9879/1146209 : 1)
** u= -107/199 ; C1 -124282*x^2 + 51050*y^2 + 70738*z^2
(-127/659 : -750/659 : 1) C2b (704/8607 : 139/8607 : 1)
** u= -106/63 ; C1 -4369*x^2 - 15205*y^2 + 6089*z^2
(466/1661 : -1021/1661 : 1) C2a (188796/25651 : 5225/25651 : 1)
** u= -106/67 ; C1 -5273*x^2 - 15725*y^2 + 7457*z^2
(-438/377 : -277/1885 : 1) C2a (3144744/139327 : -96091/139327 : 1)
** u= -106/95 ; C1 -16081*x^2 - 20261*y^2 + 17929*z^2
(23350/28221 : -16493/28221 : 1) C2a (-38860798/775273 : 1624111/775273 : 1)
** u= -106/97 ; C1 -17153*x^2 - 20645*y^2 + 18737*z^2
(1514/13183 : 12483/13183 : 1) C2a (-258452/273891 : -6275/273891 : 1)
** u= -106/139 ; C1 -48905*x^2 - 30557*y^2 + 37553*z^2
(-33135/37859 : 2068/37859 : 1) C2a (-4268184/7977263 : 331/169729 : 1)
** u= -106/161 ; C1 -72577*x^2 - 37157*y^2 + 48817*z^2
(57718/191655 : 204331/191655 : 1) C2a (1786498/2776709 : 65537/2776709 : 1)
** u= -106/165 ; C1 -77401*x^2 - 38461*y^2 + 50969*z^2
(18958/23795 : 5201/23795 : 1) C2a (-2124036/1711091 : -101867/1711091 : 1)
** u= -106/173 ; C1 -87529*x^2 - 41165*y^2 + 55369*z^2
(-21214/39231 : -33365/39231 : 1) C2a (-9688/20947 : 245/20947 : 1)
** u= -106/189 ; C1 -109705*x^2 - 46957*y^2 + 64553*z^2
(-55298/547271 : -636077/547271 : 1) C2a (372838/831805 : 12273/831805 : 1)
** u= -105/61 ; C1 {+/-} -4010*x^2 + 14746*y^2 + 5506*z^2
(-2086/2109 : -691/2109 : 1) C2a (-145811/41719 : 3651/41719 : 1) C2b (5014/69509 : 2547/69509 : 1)
** u= -105/101 ; C1 -19610*x^2 + 21226*y^2 + 20386*z^2
(20406/31241 : -23509/31241 : 1) C2b (44982/90373 : -2129/90373 : 1)
** u= -104/51 ; C1 -2605*x^2 + 13417*y^2 + 2393*z^2
(2233/2941 : 758/2941 : 1) C2b (123461/71637 : -1319/71637 : 1)
** u= -104/55 ; C1 -3061*x^2 + 13841*y^2 + 3649*z^2
(-3488/6379 : 2835/6379 : 1) C2b (-579/4039 : -149/4039 : 1)
** u= -104/63 ; C1 -4453*x^2 + 14785*y^2 + 6257*z^2
(6704/8263 : -3919/8263 : 1) C2b (1109291/878897 : -915/878897 : 1)
** u= -104/71 ; C1 -6485*x^2 + 15857*y^2 + 8993*z^2
(7452/6367 : -529/6367 : 1) C2b (2504689/3984865 : 5011/173255 : 1)
** u= -104/97 ; C1 -17509*x^2 + 20225*y^2 + 18769*z^2
(959/5035 : 23838/25175 : 1) C2b (-345/959 : -1/35 : 1)
** u= -104/115 ; C1 -29101*x^2 + 24041*y^2 + 26329*z^2
(-3569/12245 : 12198/12245 : 1) C2b (-287553/472937 : -4333/472937 : 1)
** u= -104/119 ; C1 -32117*x^2 + 24977*y^2 + 28097*z^2
(18729/24925 : 15742/24925 : 1) C2b (133823/545219 : -14551/545219 : 1)
** u= -104/189 ; C1 -110797*x^2 + 46537*y^2 + 64217*z^2
(16991/93995 : -107258/93995 : 1) C2b (-363751/1144713 : 6323/1144713 : 1)
** u= -103/43 ; C1 -2138*x^2 + 12458*y^2 + 98*z^2
(-1099/5155 : -42/5155 : 1) C2b (128392/14735 : 31/2105 : 1)
** u= -103/123 ; C1 -35578*x^2 + 25738*y^2 + 29858*z^2
(-25438/131023 : 137915/131023 : 1) C2b (-41422/70551 : 211/70551 : 1)
** u= -103/179 ; C1 -97066*x^2 + 42650*y^2 + 58306*z^2
(262/1355 : -7671/6775 : 1) C2b (1523794/4188711 : 1969/4188711 : 1)
** u= -102/49 ; C1 -2417*x^2 - 12805*y^2 + 1993*z^2
(-8051/19113 : -6680/19113 : 1) C2a (-4298/2021 : 3/2021 : 1)
** u= -102/149 ; C1 -60617*x^2 - 32605*y^2 + 42193*z^2
(65382/82639 : -29833/82639 : 1) C2a (21455426/396977 : 1084449/396977 : 1)
** u= -102/157 ; C1 -69593*x^2 - 35053*y^2 + 46273*z^2
(36278/71463 : 64255/71463 : 1) C2a (2314328/1778035 : -111249/1778035 : 1)
** u= -101/49 ; C1 {+/-} -2410*x^2 + 12602*y^2 + 2098*z^2
(-1346/1557 : -239/1557 : 1) C2a (937019/52993 : -16873/52993 : 1) C2b (-191906/98853 : 1201/98853 : 1)
** u= -101/65 ; C1 {+/-} -5066*x^2 + 14426*y^2 + 7154*z^2
(-5047/7081 : 3990/7081 : 1) C2a (13401/6671 : -49/953 : 1) C2b (-207082/221333 : 671/31619 : 1)
** u= -101/81 ; C1 {+/-} -10282*x^2 + 16762*y^2 + 12722*z^2
(247/385 : -274/385 : 1) C2a (-33237/24515 : -16547/416755 : 1) C2b (-7096/23605 : 12957/401285 : 1)
** u= -101/137 ; C1 {+/-} -48698*x^2 + 28970*y^2 + 36242*z^2
(158/401 : -399/401 : 1) C2a (-20577/4891 : 1015/4891 : 1) C2b (-143966/292787 : 2149/292787 : 1)
** u= -101/169 ; C1 -84730*x^2 + 38762*y^2 + 52498*z^2
(-1085/1513 : 726/1513 : 1) C2b (-92386/263667 : 2261/263667 : 1)
** u= -100/47 ; C1 -2245*x^2 + 12209*y^2 + 1609*z^2
(16/27 : 7/27 : 1) C2b (-35949/44665 : 1561/44665 : 1)
** u= -100/107 ; C1 -24445*x^2 + 21449*y^2 + 22849*z^2
(-2452/3851 : -2991/3851 : 1) C2b (3104917/6274965 : -126013/6274965 : 1)
** u= -99/47 ; C1 -2234*x^2 + 12010*y^2 + 1714*z^2
(-1803/2327 : -410/2327 : 1) C2b (746896/799571 : 27033/799571 : 1)
** u= -99/71 ; C1 {+/-} -6890*x^2 + 14842*y^2 + 9298*z^2
(-5610/4867 : -479/4867 : 1) C2a (115139/40823 : 3783/40823 : 1) C2b (1746/3245 : -97/3245 : 1)
** u= -99/103 ; C1 -22058*x^2 + 20410*y^2 + 21202*z^2
(-1419/1867 : 1202/1867 : 1) C2b (6932/14041 : 297/14041 : 1)
** u= -99/127 ; C1 {+/-} -40154*x^2 + 25930*y^2 + 31474*z^2
(-1806/2399 : 1391/2399 : 1) C2a (-1627951/2259669 : 51895/2259669 : 1) C2b (2328/25723 : -679/25723 : 1)
** u= -98/41 ; C1 -1937*x^2 - 11285*y^2 + 113*z^2
(-903/5329 : -380/5329 : 1) C2a (-6548/69 : 29/69 : 1)
** u= -98/95 ; C1 -17489*x^2 - 18629*y^2 + 18041*z^2
(11690/12377 : -4479/12377 : 1) C2a (24152/6885 : -1033/6885 : 1)
** u= -98/99 ; C1 -19801*x^2 - 19405*y^2 + 19601*z^2
(11326/19441 : 15839/19441 : 1) C2a (8185592/64297 : 365541/64297 : 1)
** u= -98/117 ; C1 -32185*x^2 - 23293*y^2 + 27017*z^2
(15694/45431 : -45317/45431 : 1) C2a (-8294/3935 : -381/3935 : 1)
** u= -98/127 ; C1 -40465*x^2 - 25733*y^2 + 31417*z^2
(8413/9831 : 2588/9831 : 1) C2a (-17134/28835 : 349/28835 : 1)
** u= -98/135 ; C1 -47809*x^2 - 27829*y^2 + 35081*z^2
(-6550/12089 : -10513/12089 : 1) C2a (599582/1189007 : -351/1189007 : 1)
** u= -98/143 ; C1 -55793*x^2 - 30053*y^2 + 38873*z^2
(24375/36043 : 24028/36043 : 1) C2a (-314448/207185 : 15109/207185 : 1)
** u= -98/149 ; C1 -62201*x^2 - 31805*y^2 + 41801*z^2
(-1419/8821 : 9916/8821 : 1) C2a (-563084/262569 : 28057/262569 : 1)
** u= -98/151 ; C1 -64417*x^2 - 32405*y^2 + 42793*z^2
(-11387/23311 : -21444/23311 : 1) C2a (153549748/1927711 : 7840309/1927711 : 1)
** u= -98/167 ; C1 -83585*x^2 - 37493*y^2 + 51017*z^2
(-5334/7001 : -1807/7001 : 1) C2a (40772/106425 : -397/106425 : 1)
** u= -97/69 ; C1 -6442*x^2 + 14170*y^2 + 8738*z^2
(-12286/10693 : -1373/10693 : 1) C2b (12244/271363 : 9609/271363 : 1)
** u= -97/77 ; C1 {+/-} -9178*x^2 + 15338*y^2 + 11458*z^2
(785/3889 : -3306/3889 : 1) C2a (531637/587969 : 2657/587969 : 1) C2b (1012808/1828041 : 49481/1828041 : 1)
** u= -97/101 ; C1 -21226*x^2 - 19610*y^2 + 20386*z^2
(-1574/1821 : -875/1821 : 1) C2a (262183/153187 : -10903/153187 : 1)
** u= -97/125 ; C1 -39034*x^2 - 25034*y^2 + 30466*z^2
(-16870/58353 : -60829/58353 : 1) C2a (-3109981/338249 : 152177/338249 : 1)
** u= -97/133 ; C1 {+/-} -46250*x^2 + 27098*y^2 + 34082*z^2
(-5702/11425 : -417/457 : 1) C2a (25317/46481 : -461/46481 : 1) C2b (-44228/760729 : 19093/760729 : 1)
** u= -97/141 ; C1 -54106*x^2 - 29290*y^2 + 37826*z^2
(-1118/1477 : 713/1477 : 1) C2a (-147981/223859 : 5227/223859 : 1)
** u= -96/61 ; C1 -4397*x^2 + 12937*y^2 + 6217*z^2
(27800/24981 : -6101/24981 : 1) C2b (974059/1566175 : -48171/1566175 : 1)
** u= -96/77 ; C1 -9293*x^2 + 15145*y^2 + 11497*z^2
(4859/4623 : 1318/4623 : 1) C2b (-3238707/3799681 : -35845/3799681 : 1)
** u= -96/107 ; C1 -25373*x^2 + 20665*y^2 + 22777*z^2
(7412/11019 : 8147/11019 : 1) C2b (-3123/14999 : 419/14999 : 1)
** u= -96/151 ; C1 -65237*x^2 + 32017*y^2 + 42577*z^2
(-14313/17717 : 10/17717 : 1) C2b (-1489819/3502493 : 87/3502493 : 1)
** u= -96/163 ; C1 -79469*x^2 + 35785*y^2 + 48649*z^2
(-30791/130149 : -144646/130149 : 1) C2b (-6075841/17224399 : 122589/17224399 : 1)
** u= -96/175 ; C1 -95141*x^2 + 39841*y^2 + 55009*z^2
(-14939/19665 : 998/19665 : 1) C2b (220611/1400911 : 21451/1400911 : 1)
** u= -95/83 ; C1 -11930*x^2 + 15914*y^2 + 13634*z^2
(-3590/3359 : 69/3359 : 1) C2b (10102/304537 : 10141/304537 : 1)
** u= -95/139 ; C1 -52810*x^2 + 28346*y^2 + 36706*z^2
(-11066/19439 : -16161/19439 : 1) C2b (-29908/205167 : 4619/205167 : 1)
** u= -95/179 ; C1 -101210*x^2 + 41066*y^2 + 57026*z^2
(23710/32119 : -6861/32119 : 1) C2b (67888/240577 : 1631/240577 : 1)
** u= -94/89 ; C1 -14977*x^2 - 16757*y^2 + 15817*z^2
(-5818/5787 : -1165/5787 : 1) C2a (225508/278225 : -3781/278225 : 1)
** u= -94/93 ; C1 -17113*x^2 - 17485*y^2 + 17297*z^2
(4039/7477 : 6272/7477 : 1) C2a (-570774/734437 : 9907/734437 : 1)
** u= -94/101 ; C1 -21865*x^2 - 19037*y^2 + 20353*z^2
(1202/2367 : 2081/2367 : 1) C2a (581312/385499 : 24031/385499 : 1)
** u= -94/137 ; C1 -51169*x^2 - 27605*y^2 + 35689*z^2
(-16798/24267 : -15437/24267 : 1) C2a (14170724/4270469 : 708695/4270469 : 1)
** u= -94/143 ; C1 -57313*x^2 - 29285*y^2 + 38497*z^2
(-23897/29159 : 288/29159 : 1) C2a (-1487718938/84729389 : 75767377/84729389 : 1)
** u= -94/159 ; C1 -75457*x^2 - 34117*y^2 + 46337*z^2
(-16358/26977 : 19915/26977 : 1) C2a (-558818/1017755 : -20841/1017755 : 1)
** u= -94/185 ; C1 -110401*x^2 - 43061*y^2 + 60169*z^2
(-1183/6645 : 129592/112965 : 1) C2a (-64444/172105 : 38317/2925785 : 1)
** u= -93/169 ; C1 -88586*x^2 - 37210*y^2 + 51346*z^2
(3049/24609 : 1739878/1501149 : 1) C2a (-260097881/260067489 : 780305165/15864116829 : 1)
** u= -93/185 ; C1 -110954*x^2 + 42874*y^2 + 59986*z^2
(-22391/108297 : -122930/108297 : 1) C2b (-40176/149099 : -251/149099 : 1)
** u= -92/41 ; C1 -1781*x^2 + 10145*y^2 + 761*z^2
(5088/7973 : 473/7973 : 1) C2b (-210179/87641 : 2041/87641 : 1)
** u= -92/77 ; C1 -9773*x^2 + 14393*y^2 + 11633*z^2
(-24740/37157 : 26463/37157 : 1) C2b (-81649/194977 : 5737/194977 : 1)
** u= -92/83 ; C1 -12365*x^2 + 15353*y^2 + 13697*z^2
(660/2647 : 2429/2647 : 1) C2b (498211/1948603 : -60629/1948603 : 1)
** u= -92/103 ; C1 -23605*x^2 + 19073*y^2 + 21097*z^2
(-48688/54271 : -18003/54271 : 1) C2b (-1749/10183 : -17/599 : 1)
** u= -92/125 ; C1 -40589*x^2 + 24089*y^2 + 30161*z^2
(17193/56951 : -59690/56951 : 1) C2b (2527463/6294367 : 99623/6294367 : 1)
** u= -92/169 ; C1 -89077*x^2 + 37025*y^2 + 51193*z^2
(-392/3237 : -18787/16185 : 1) C2b (-2055939/6320261 : -66271/31601305 : 1)
** u= -92/187 ; C1 -114493*x^2 + 43433*y^2 + 60913*z^2
(-28/295 : -4503/3835 : 1) C2b (-8383/185421 : 31793/2410473 : 1)
** u= -92/189 ; C1 -117517*x^2 + 44185*y^2 + 62033*z^2
(-40021/60283 : -29018/60283 : 1) C2b (-3107767/12637501 : 7587/12637501 : 1)
** u= -91/87 ; C1 {+/-} -14458*x^2 + 15850*y^2 + 15122*z^2
(-199/971 : -4646/4855 : 1) C2a (-69903/62099 : 2287/62099 : 1) C2b (-9056/31331 : 4629/156655 : 1)
** u= -90/41 ; C1 -1745*x^2 - 9781*y^2 + 961*z^2
(2511/4633 : -992/4633 : 1) C2a (-166342/48267 : -47/1557 : 1)
** u= -90/59 ; C1 -4265*x^2 - 11581*y^2 + 6001*z^2
(1431/1211 : 76/1211 : 1) C2a (533708/172597 : 15897/172597 : 1)
** u= -90/77 ; C1 -10025*x^2 - 14029*y^2 + 11689*z^2
(7669/7125 : 104/1425 : 1) C2a (50768/51387 : 1123/51387 : 1)
** u= -90/119 ; C1 -36065*x^2 - 22261*y^2 + 27481*z^2
(1686/2021 : 661/2021 : 1) C2a (-622508/1098825 : 11051/1098825 : 1)
** u= -90/181 ; C1 -106745*x^2 - 40861*y^2 + 57241*z^2
(10866/38107 : -41543/38107 : 1) C2a (45436/20275 : -2373/20275 : 1)
** u= -89/37 ; C1 {+/-} -1594*x^2 + 9290*y^2 + 34*z^2
(-79/1521 : 86/1521 : 1) C2a (-13487/253 : -35/253 : 1) C2b (-1238/93 : -1/93 : 1)
** u= -89/61 ; C1 {+/-} -4810*x^2 + 11642*y^2 + 6658*z^2
(-1031/1149 : 562/1149 : 1) C2a (1286059/32365 : -43199/32365 : 1) C2b (379284/1070627 : 36071/1070627 : 1)
** u= -89/117 ; C1 {+/-} -34714*x^2 + 21610*y^2 + 26594*z^2
(-539/12781 : -14162/12781 : 1) C2a (69257/77383 : 2745/77383 : 1) C2b (-1209524/2388861 : 19259/2388861 : 1)
** u= -88/67 ; C1 -6605*x^2 + 12233*y^2 + 8537*z^2
(4365/30497 : -25274/30497 : 1) C2b (3155807/3996401 : -75307/3996401 : 1)
** u= -88/73 ; C1 -8693*x^2 + 13073*y^2 + 10433*z^2
(4516/5405 : -3123/5405 : 1) C2b (58423/73609 : 931/73609 : 1)
** u= -88/81 ; C1 -12037*x^2 + 14305*y^2 + 13073*z^2
(-4277/84151 : -80350/84151 : 1) C2b (-38597/819321 : -26693/819321 : 1)
** u= -88/115 ; C1 -33389*x^2 + 20969*y^2 + 25721*z^2
(-36635/105241 : 106998/105241 : 1) C2b (-376559/722585 : 259/42505 : 1)
** u= -88/175 ; C1 -99269*x^2 + 38369*y^2 + 53681*z^2
(-58281/81245 : -21142/81245 : 1) C2b (-88993/330265 : -589/330265 : 1)
** u= -87/91 ; C1 {+/-} -17306*x^2 + 15850*y^2 + 16546*z^2
(-393/815 : -3622/4075 : 1) C2a (-2973659/666395 : -667209/3331975 : 1) C2b (7200/11099 : -479/55495 : 1)
** u= -87/115 ; C1 {+/-} -33674*x^2 + 20794*y^2 + 25666*z^2
(-693/1735 : 1714/1735 : 1) C2a (1349849/1575121 : 52437/1575121 : 1) C2b (21132/73073 : 1597/73073 : 1)
** u= -87/155 ; C1 -73754*x^2 + 31594*y^2 + 43426*z^2
(24138/40451 : 29815/40451 : 1) C2b (2303366/10022035 : -136377/10022035 : 1)
** u= -86/39 ; C1 -1585*x^2 - 8917*y^2 + 833*z^2
(7154/10813 : 1351/10813 : 1) C2a (67644/1477 : -131/211 : 1)
** u= -86/57 ; C1 -4033*x^2 - 10645*y^2 + 5657*z^2
(-4538/4139 : 1141/4139 : 1) C2a (157732/131119 : -1965/131119 : 1)
** u= -86/65 ; C1 -6161*x^2 - 11621*y^2 + 8009*z^2
(4475/12857 : 10164/12857 : 1) C2a (473396/456891 : 7103/456891 : 1)
** u= -86/83 ; C1 -13289*x^2 - 14285*y^2 + 13769*z^2
(-1799/4471 : -4032/4471 : 1) C2a (1511022/857983 : -8563/122569 : 1)
** u= -86/103 ; C1 -25009*x^2 - 18005*y^2 + 20929*z^2
(-109/891 : 952/891 : 1) C2a (316216/11671 : 15145/11671 : 1)
** u= -86/113 ; C1 -32369*x^2 - 20165*y^2 + 24809*z^2
(38397/73897 : -65968/73897 : 1) C2a (-81774/153089 : -329/153089 : 1)
** u= -86/117 ; C1 -35593*x^2 - 21085*y^2 + 26417*z^2
(24163/30001 : -11920/30001 : 1) C2a (7684145944/827942723 : -381592545/827942723 : 1)
** u= -86/127 ; C1 -44353*x^2 - 23525*y^2 + 30577*z^2
(-242/293 : -171/1465 : 1) C2a (-7226284/1851703 : 363479/1851703 : 1)
** u= -86/131 ; C1 -48137*x^2 - 24557*y^2 + 32297*z^2
(-15177/59647 : 65020/59647 : 1) C2a (-82426/178077 : -1169/178077 : 1)
** u= -86/149 ; C1 -67145*x^2 - 29597*y^2 + 40433*z^2
(474/5587 : 6491/5587 : 1) C2a (438764/873867 : -15607/873867 : 1)
** u= -86/173 ; C1 -97529*x^2 - 37325*y^2 + 52289*z^2
(-16561/22637 : -5532/113185 : 1) C2a (-24274/91923 : 623/459615 : 1)
** u= -85/49 ; C1 {+/-} -2570*x^2 + 9626*y^2 + 3506*z^2
(-870/2309 : 1319/2309 : 1) C2a (-4861135017/310795303 : 129855233/310795303 : 1) C2b (-54988/92753 : -3071/92753 :
1)
** u= -85/169 ; C1 {+/-} -92570*x^2 + 35786*y^2 + 50066*z^2
(-5055/14053 : 14498/14053 : 1) C2a (-1034259/1453505 : 50237/1453505 : 1) C2b (-91156/341231 : -893/341231 : 1)
** u= -85/193 ; C1 -127850*x^2 - 44474*y^2 + 62834*z^2
(62/125 : 21/25 : 1) C2a (-164867/297603 : 8387/297603 : 1)
** u= -84/95 ; C1 -20261*x^2 + 16081*y^2 + 17929*z^2
(-404/435 : -73/435 : 1) C2b (1735761/5662429 : -144589/5662429 : 1)
** u= -84/139 ; C1 -56957*x^2 + 26377*y^2 + 35617*z^2
(36157/63645 : -51446/63645 : 1) C2b (773103/1962911 : 2311/1962911 : 1)
** u= -83/55 ; C1 {+/-} -3754*x^2 + 9914*y^2 + 5266*z^2
(-2995/2531 : 78/2531 : 1) C2a (-686677/102227 : -21931/102227 : 1) C2b (23326/302175 : 10843/302175 : 1)
** u= -83/87 ; C1 -15850*x^2 - 14458*y^2 + 15122*z^2
(-4646/4855 : -199/971 : 1) C2a (-168701/14653 : -7653/14653 : 1)
** u= -83/119 ; C1 {+/-} -38186*x^2 + 21050*y^2 + 27026*z^2
(-1629/2803 : -11482/14015 : 1) C2a (365691/352163 : 81607/1760815 : 1) C2b (-4582/17791 : -1817/88955 : 1)
** u= -83/143 ; C1 -61658*x^2 - 27338*y^2 + 37298*z^2
(-7695/12883 : -9638/12883 : 1) C2a (-182431/282153 : -7771/282153 : 1)
** u= -83/159 ; C1 {+/-} -80506*x^2 + 32170*y^2 + 44786*z^2
(-14882/43003 : 44947/43003 : 1) C2a (-96721/20111 : -723/2873 : 1) C2b (281254/1395541 : -2307/199363 : 1)
** u= -83/175 ; C1 {+/-} -101914*x^2 + 37514*y^2 + 52786*z^2
(-77641/108235 : -10362/108235 : 1) C2a (-1076563/40447 : 56741/40447 : 1) C2b (55826/681381 : 7501/681381 : 1)
** u= -82/127 ; C1 -45713*x^2 - 22853*y^2 + 30233*z^2
(-8302/14513 : 11865/14513 : 1) C2a (-1831762/1186185 : 12833/169455 : 1)
** u= -82/131 ; C1 -49561*x^2 - 23885*y^2 + 31921*z^2
(-33851/42199 : -1476/42199 : 1) C2a (7811302/491947 : -401107/491947 : 1)
** u= -82/145 ; C1 -64289*x^2 - 27749*y^2 + 38081*z^2
(4425/28697 : 32936/28697 : 1) C2a (-10396/5091 : -533/5091 : 1)
** u= -82/177 ; C1 -105313*x^2 - 38053*y^2 + 53633*z^2
(-14890/80443 : -92233/80443 : 1) C2a (-1213196/1800265 : -61023/1800265 : 1)
** u= -82/187 ; C1 -120233*x^2 - 41693*y^2 + 58913*z^2
(8834/12625 : -417/12625 : 1) C2a (1103262/7008451 : 24037/7008451 : 1)
** u= -81/101 ; C1 {+/-} -24842*x^2 + 16762*y^2 + 20002*z^2
(998/1785 : -25927/30345 : 1) C2a (-125581/20643 : 103177/350931 : 1) C2b (42986/76967 : -4959/1308439 : 1)
** u= -81/133 ; C1 {+/-} -51914*x^2 + 24250*y^2 + 32674*z^2
(899/2409 : -12338/12045 : 1) C2a (-8461/19809 : 5/639 : 1) C2b (21894/123349 : -367/19895 : 1)
** u= -81/149 ; C1 -69290*x^2 - 28762*y^2 + 39778*z^2
(-21121/30693 : -1162/2361 : 1) C2a (-1149301/215563 : 59943/215563 : 1)
** u= -80/43 ; C1 -1885*x^2 + 8249*y^2 + 2329*z^2
(27473/24717 : 122/24717 : 1) C2b (11437/42033 : 1531/42033 : 1)
** u= -80/73 ; C1 -9685*x^2 + 11729*y^2 + 10609*z^2
(-721/947 : -618/947 : 1) C2b (139371/1279775 : 403/12425 : 1)
** u= -80/83 ; C1 -14285*x^2 + 13289*y^2 + 13769*z^2
(-1316/1367 : 273/1367 : 1) C2b (-38723/65443 : -143/9349 : 1)
** u= -80/109 ; C1 -30925*x^2 + 18281*y^2 + 22921*z^2
(-116692/136885 : -4281/27377 : 1) C2b (-494657/1040133 : 9641/1040133 : 1)
** u= -80/119 ; C1 -39125*x^2 + 20561*y^2 + 26801*z^2
(871/11845 : 2694/2369 : 1) C2b (153917/351965 : -2473/351965 : 1)
** u= -80/129 ; C1 -48325*x^2 + 23041*y^2 + 30881*z^2
(7127/11995 : 1858/2399 : 1) C2b (694427/1723467 : 6881/1723467 : 1)
** u= -80/161 ; C1 -84485*x^2 + 32321*y^2 + 45281*z^2
(41688/71573 : 51323/71573 : 1) C2b (-144667/554185 : 797/554185 : 1)
** u= -80/171 ; C1 -97885*x^2 + 35641*y^2 + 50201*z^2
(16744/33239 : 28039/33239 : 1) C2b (30683/761203 : -8361/761203 : 1)
** u= -80/181 ; C1 -112285*x^2 + 39161*y^2 + 55321*z^2
(-4172/7737 : 5887/7737 : 1) C2b (16069/106761 : 163/106761 : 1)
** u= -80/183 ; C1 -115285*x^2 + 39889*y^2 + 56369*z^2
(-4811/22577 : 25562/22577 : 1) C2b (24361/176319 : -173/176319 : 1)
** u= -80/193 ; C1 -130885*x^2 + 43649*y^2 + 61729*z^2
(-11023/22947 : 19502/22947 : 1) C2b (13947/888383 : 101/888383 : 1)
** u= -79/99 ; C1 -23962*x^2 - 16042*y^2 + 19202*z^2
(-24770/27671 : -211/27671 : 1) C2a (1341460009/152662343 : 65079681/152662343 : 1)
** u= -79/163 ; C1 {+/-} -87578*x^2 + 32810*y^2 + 46082*z^2
(33194/45967 : -5157/45967 : 1) C2a (6545759/24923823 : 131911/24923823 : 1) C2b (280202/1296749 : 7537/1296749 : 1)
** u= -79/171 ; C1 {+/-} -98410*x^2 + 35482*y^2 + 50018*z^2
(-8225/21467 : 21494/21467 : 1) C2a (624603/3101461 : -3241/3101461 : 1) C2b (98378/568455 : -3031/568455 : 1)
** u= -79/187 ; C1 {+/-} -121994*x^2 + 41210*y^2 + 58274*z^2
(-2306/12359 : 14151/12359 : 1) C2a (-15641/47709 : -799/47709 : 1) C2b (136274/1660499 : -1477/1660499 : 1)
** u= -78/131 ; C1 -51017*x^2 - 23245*y^2 + 31513*z^2
(-8623/18039 : 16672/18039 : 1) C2a (58394/59433 : 2779/59433 : 1)
** u= -78/161 ; C1 -85457*x^2 - 32005*y^2 + 44953*z^2
(-278151/492173 : -365584/492173 : 1) C2a (-1913836/7036123 : 45783/7036123 : 1)
** u= -78/167 ; C1 -93425*x^2 - 33973*y^2 + 47857*z^2
(17433/30175 : -4228/6035 : 1) C2a (343148/681485 : 16437/681485 : 1)
** u= -78/181 ; C1 -113417*x^2 - 38845*y^2 + 54913*z^2
(-69567/109981 : -54488/109981 : 1) C2a (49478/369179 : 1197/369179 : 1)
** u= -77/57 ; C1 {+/-} -4618*x^2 + 9178*y^2 + 6098*z^2
(-3854/3365 : -223/3365 : 1) C2a (44511/43073 : 559/43073 : 1) C2b (-272132/284439 : 1601/284439 : 1)
** u= -77/97 ; C1 {+/-} -23098*x^2 + 15338*y^2 + 18418*z^2
(-1102/3785 : -3921/3785 : 1) C2a (-248221/253657 : -9931/253657 : 1) C2b (299208/912745 : -20053/912745 : 1)
** u= -77/145 ; C1 {+/-} -66394*x^2 + 26954*y^2 + 37426*z^2
(12490/18773 : -10251/18773 : 1) C2a (-9079409/5871359 : -465677/5871359 : 1) C2b (374668/1760985 : 20899/1760985 :
1)
** u= -76/35 ; C1 -1261*x^2 + 7001*y^2 + 769*z^2
(-64/275 : 87/275 : 1) C2b (-92343/36563 : -107/36563 : 1)
** u= -76/47 ; C1 -2533*x^2 + 7985*y^2 + 3577*z^2
(49/1193 : 798/1193 : 1) C2b (-420213/935389 : -4523/133627 : 1)
** u= -76/93 ; C1 -20749*x^2 + 14425*y^2 + 17009*z^2
(13217/19999 : 74218/99995 : 1) C2b (80293/418267 : -10947/418267 : 1)
** u= -76/107 ; C1 -30493*x^2 + 17225*y^2 + 21937*z^2
(131/6181 : 34866/30905 : 1) C2b (-69/3161 : -389/15805 : 1)
** u= -76/141 ; C1 -62317*x^2 + 25657*y^2 + 35537*z^2
(36713/88615 : 87194/88615 : 1) C2b (1072129/6028457 : 84273/6028457 : 1)
** u= -76/147 ; C1 -69133*x^2 + 27385*y^2 + 38177*z^2
(2768/4951 : -3851/4951 : 1) C2b (2969189/20226393 : -267871/20226393 : 1)
** u= -76/161 ; C1 -86437*x^2 + 31697*y^2 + 44617*z^2
(761260/1139433 : 497173/1139433 : 1) C2b (-196717/914985 : -2297/914985 : 1)
** u= -76/169 ; C1 -97205*x^2 + 34337*y^2 + 48473*z^2
(-9672/18529 : 14827/18529 : 1) C2b (-86689/3170543 : 28601/3170543 : 1)
** u= -74/45 ; C1 -2281*x^2 - 7501*y^2 + 3209*z^2
(-2458/3751 : 2045/3751 : 1) C2a (1146402/606887 : -24899/606887 : 1)
** u= -74/67 ; C1 -8089*x^2 - 9965*y^2 + 8929*z^2
(-2578/2973 : 1589/2973 : 1) C2a (826048/80503 : -34643/80503 : 1)
** u= -74/69 ; C1 -8857*x^2 - 10237*y^2 + 9497*z^2
(-13147/14477 : 6700/14477 : 1) C2a (-141904/164063 : 2919/164063 : 1)
** u= -74/73 ; C1 -10513*x^2 - 10805*y^2 + 10657*z^2
(-761/2417 : -2280/2417 : 1) C2a (-8047342/5039011 : 317335/5039011 : 1)
** u= -74/95 ; C1 -22481*x^2 - 14501*y^2 + 17609*z^2
(1430/10597 : -11541/10597 : 1) C2a (-1367142/365545 : 66223/365545 : 1)
** u= -74/137 ; C1 -58769*x^2 - 24245*y^2 + 33569*z^2
(1494/16579 : -19369/16579 : 1) C2a (2650576/8009991 : -31033/8009991 : 1)
** u= -74/147 ; C1 -70009*x^2 - 27085*y^2 + 37889*z^2
(10154/17989 : 13645/17989 : 1) C2a (-905136/2664379 : 28423/2664379 : 1)
** u= -74/157 ; C1 -82249*x^2 - 30125*y^2 + 42409*z^2
(8383/16153 : 66228/80765 : 1) C2a (-861556/3426749 : 111767/17133745 : 1)
** u= -74/161 ; C1 -87425*x^2 - 31397*y^2 + 44273*z^2
(3890/32719 : -38307/32719 : 1) C2a (-994444/1226517 : 50923/1226517 : 1)
** u= -74/165 ; C1 -92761*x^2 - 32701*y^2 + 46169*z^2
(-126454/250627 : 208145/250627 : 1) C2a (1963278/1817717 : -102361/1817717 : 1)
** u= -74/179 ; C1 -112697*x^2 - 37517*y^2 + 53057*z^2
(-44607/66827 : -18400/66827 : 1) C2a (8862/6818075 : -9461/6818075 : 1)
** u= -73/117 ; C1 {+/-} -39610*x^2 + 19018*y^2 + 25442*z^2
(-7379/19357 : -19694/19357 : 1) C2a (857577/1116631 : 37121/1116631 : 1) C2b (-352576/1184607 : 17521/1184607 : 1)
** u= -73/133 ; C1 {+/-} -54938*x^2 + 23018*y^2 + 31778*z^2
(9763/15893 : 11010/15893 : 1) C2a (311171/396177 : 14711/396177 : 1) C2b (-14402/45245 : -233/45245 : 1)
** u= -73/157 ; C1 {+/-} -82730*x^2 + 29978*y^2 + 42242*z^2
(-12270/25609 : -22553/25609 : 1) C2a (481981/1276077 : 21287/1276077 : 1) C2b (-8308/473389 : -5137/473389 : 1)
** u= -72/41 ; C1 -1781*x^2 + 6865*y^2 + 2401*z^2
(-1176/2761 : 1519/2761 : 1) C2b (-435027/311297 : 13/6353 : 1)
** u= -72/73 ; C1 -10805*x^2 + 10513*y^2 + 10657*z^2
(-232/1869 : -1867/1869 : 1) C2b (-23081/33095 : 3/33095 : 1)
** u= -72/79 ; C1 -13637*x^2 + 11425*y^2 + 12433*z^2
(7220/9663 : 31381/48315 : 1) C2b (-2113/7129 : -189/7129 : 1)
** u= -72/107 ; C1 -31613*x^2 + 16633*y^2 + 21673*z^2
(-16016/35955 : 34597/35955 : 1) C2b (-959619/2162713 : -13003/2162713 : 1)
** u= -72/109 ; C1 -33197*x^2 + 17065*y^2 + 22393*z^2
(336/6533 : -7469/6533 : 1) C2b (-176451/1682863 : -5333/240409 : 1)
** u= -72/115 ; C1 -38189*x^2 + 18409*y^2 + 24601*z^2
(8469/19705 : 19238/19705 : 1) C2b (1131117/2732453 : -5927/2732453 : 1)
** u= -72/133 ; C1 -55325*x^2 + 22873*y^2 + 31657*z^2
(3389/4575 : -218/915 : 1) C2b (18649/63617 : -459/63617 : 1)
** u= -72/145 ; C1 -68549*x^2 + 26209*y^2 + 36721*z^2
(12535/17187 : 1706/17187 : 1) C2b (408227/1647907 : 7377/1647907 : 1)
** u= -71/75 ; C1 -11866*x^2 + 10666*y^2 + 11234*z^2
(3181/7067 : 6430/7067 : 1) C2b (63334/108829 : 1641/108829 : 1)
** u= -71/99 ; C1 {+/-} -25930*x^2 + 14842*y^2 + 18818*z^2
(1358/2543 : 2231/2543 : 1) C2a (1218619/1568975 : -483/16175 : 1) C2b (-111296/247447 : 27/2551 : 1)
** u= -71/139 ; C1 {+/-} -62170*x^2 + 24362*y^2 + 34018*z^2
(-16802/22787 : 2151/22787 : 1) C2a (182177/96545 : 9457/96545 : 1) C2b (-12256/47217 : 281/47217 : 1)
** u= -70/39 ; C1 -1585*x^2 - 6421*y^2 + 2081*z^2
(-583/1183 : 608/1183 : 1) C2a (534804/63055 : 13327/63055 : 1)
** u= -70/53 ; C1 -4105*x^2 - 7709*y^2 + 5329*z^2
(73/357 : 292/357 : 1) C2a (727196/309301 : 337/4237 : 1)
** u= -70/59 ; C1 -5785*x^2 - 8381*y^2 + 6841*z^2
(-47/63 : -704/1071 : 1) C2a (18934/9595 : -11689/163115 : 1)
** u= -70/79 ; C1 -13985*x^2 - 11141*y^2 + 12401*z^2
(99/683 : -712/683 : 1) C2a (-555822/764597 : -13247/764597 : 1)
** u= -70/89 ; C1 -19585*x^2 - 12821*y^2 + 15481*z^2
(-1553/4077 : -4048/4077 : 1) C2a (-417428/728003 : 5497/728003 : 1)
** u= -70/99 ; C1 -26185*x^2 - 14701*y^2 + 18761*z^2
(4295/5119 : 764/5119 : 1) C2a (-5099898/2547215 : -248251/2547215 : 1)
** u= -70/111 ; C1 -35425*x^2 - 17221*y^2 + 22961*z^2
(-2177/30535 : 7024/6107 : 1) C2a (248/557 : -4239/564241 : 1)
** u= -70/129 ; C1 -51985*x^2 - 21541*y^2 + 29801*z^2
(6142/14999 : 14839/14999 : 1) C2a (-966514/1657781 : -41901/1657781 : 1)
** u= -70/139 ; C1 -62585*x^2 - 24221*y^2 + 33881*z^2
(941/2459 : -2484/2459 : 1) C2a (-240736/807675 : -5107/807675 : 1)
** u= -70/179 ; C1 -114985*x^2 - 36941*y^2 + 52201*z^2
(70/249 : -269/249 : 1) C2a (-5137798/1297385 : -271549/1297385 : 1)
** u= -70/181 ; C1 -118025*x^2 - 37661*y^2 + 53201*z^2
(78006/120455 : -7555/24091 : 1) C2a (75294/17861 : 3979/17861 : 1)
** u= -70/193 ; C1 -137105*x^2 - 42149*y^2 + 59369*z^2
(-16477/77473 : -87012/77473 : 1) C2a (1356924/3129815 : 79643/3129815 : 1)
** u= -70/199 ; C1 -147185*x^2 - 44501*y^2 + 62561*z^2
(13267/84427 : 97152/84427 : 1) C2a (-5178874/171201 : -272851/171201 : 1)
** u= -69/169 ; C1 -100922*x^2 - 33322*y^2 + 47122*z^2
(-3622/8997 : 8645/8997 : 1) C2a (-285251/950457 : 15491/950457 : 1)
** u= -68/49 ; C1 -3301*x^2 + 7025*y^2 + 4441*z^2
(-260/249 : -431/1245 : 1) C2b (81251/82269 : 461/82269 : 1)
** u= -68/77 ; C1 -13325*x^2 + 10553*y^2 + 11777*z^2
(2361/8207 : 8254/8207 : 1) C2b (-14683/27905 : -439/27905 : 1)
** u= -68/95 ; C1 -23909*x^2 + 13649*y^2 + 17321*z^2
(15705/19961 : 8578/19961 : 1) C2b (23641/89255 : 1873/89255 : 1)
** u= -68/105 ; C1 -31189*x^2 + 15649*y^2 + 20681*z^2
(-244/7985 : -9173/7985 : 1) C2b (257777/592653 : -1093/592653 : 1)
** u= -68/117 ; C1 -41245*x^2 + 18313*y^2 + 24977*z^2
(-133259/173651 : 33658/173651 : 1) C2b (-381583/1211945 : 12249/1211945 : 1)
** u= -68/133 ; C1 -56893*x^2 + 22313*y^2 + 31153*z^2
(5792/14405 : 14289/14405 : 1) C2b (-5511273/23309729 : -192401/23309729 : 1)
** u= -67/31 ; C1 -986*x^2 - 5450*y^2 + 626*z^2
(18/151 : 253/755 : 1) C2a (-343003/15561 : -25663/77805 : 1)
** u= -67/151 ; C1 {+/-} -78026*x^2 + 27290*y^2 + 38546*z^2
(9741/24811 : -24458/24811 : 1) C2a (-1497827/677463 : -78895/677463 : 1) C2b (-97588/5747657 : -47647/5747657 : 1)
** u= -67/191 ; C1 -135706*x^2 - 40970*y^2 + 57586*z^2
(-26542/41363 : -8445/41363 : 1) C2a (19393693/1548163 : -1021817/1548163 : 1)
** u= -66/49 ; C1 -3425*x^2 - 6757*y^2 + 4513*z^2
(6033/5905 : -440/1181 : 1) C2a (-2625448/290911 : 94791/290911 : 1)
** u= -66/61 ; C1 -6857*x^2 - 8077*y^2 + 7417*z^2
(-13725/18181 : 11984/18181 : 1) C2a (2277992/1322529 : 86897/1322529 : 1)
** u= -66/115 ; C1 -40121*x^2 - 17581*y^2 + 24049*z^2
(1485/12863 : -14876/12863 : 1) C2a (-355844/744399 : -12067/744399 : 1)
** u= -66/137 ; C1 -62033*x^2 - 23125*y^2 + 32497*z^2
(-431/3273 : -19076/16365 : 1) C2a (-340/247 : -441/6175 : 1)
** u= -66/157 ; C1 -86153*x^2 - 29005*y^2 + 41017*z^2
(-223867/334101 : 94820/334101 : 1) C2a (100268/934881 : -3905/934881 : 1)
** u= -66/173 ; C1 -108329*x^2 - 34285*y^2 + 48409*z^2
(66537/256217 : -21580/19709 : 1) C2a (-86686534/290642241 : -5254061/290642241 : 1)
** u= -66/193 ; C1 -139649*x^2 - 41605*y^2 + 58369*z^2
(12542/24507 : -17737/24507 : 1) C2a (-45099868/10702887 : 2377823/10702887 : 1)
** u= -65/101 ; C1 {+/-} -28970*x^2 + 14426*y^2 + 19106*z^2
(-8106/10037 : -1213/10037 : 1) C2a (13363/30687 : 77/30687 : 1) C2b (8576/35551 : 653/35551 : 1)
** u= -65/141 ; C1 -66970*x^2 - 24106*y^2 + 33986*z^2
(8458/69269 : -81031/69269 : 1) C2a (5936789/5296595 : -308277/5296595 : 1)
** u= -65/173 ; C1 -108890*x^2 - 34154*y^2 + 48194*z^2
(15514/27529 : 17379/27529 : 1) C2a (-12386847/2188727 : 654143/2188727 : 1)
** u= -64/27 ; C1 -829*x^2 + 4825*y^2 + 89*z^2
(109/1193 : -778/5965 : 1) C2b (3763/1311 : -217/6555 : 1)
** u= -64/35 ; C1 -1261*x^2 + 5321*y^2 + 1609*z^2
(-100/843 : -461/843 : 1) C2b (-428361/1447405 : 52417/1447405 : 1)
** u= -64/37 ; C1 -1469*x^2 + 5465*y^2 + 2009*z^2
(-147/14663 : -8890/14663 : 1) C2b (-89911/87941 : -305/12563 : 1)
** u= -64/47 ; C1 -3109*x^2 + 6305*y^2 + 4129*z^2
(28/103 : 81/103 : 1) C2b (-88741/94869 : 977/94869 : 1)
** u= -64/61 ; C1 -7085*x^2 + 7817*y^2 + 7433*z^2
(195/503 : -454/503 : 1) C2b (21881/76325 : -2263/76325 : 1)
** u= -64/77 ; C1 -14029*x^2 + 10025*y^2 + 11689*z^2
(104/1425 : 7669/7125 : 1) C2b (2009579/3486375 : -87473/17431875 : 1)
** u= -64/97 ; C1 -26309*x^2 + 13505*y^2 + 17729*z^2
(-1991/7291 : 7878/7291 : 1) C2b (-9289/21359 : -115/21359 : 1)
** u= -64/125 ; C1 -50221*x^2 + 19721*y^2 + 27529*z^2
(25448/52965 : 47611/52965 : 1) C2b (-492741/2560871 : -28259/2560871 : 1)
** u= -64/127 ; C1 -52229*x^2 + 20225*y^2 + 28289*z^2
(-18153/30757 : 21730/30757 : 1) C2b (10583/279125 : 19843/1395625 : 1)
** u= -64/131 ; C1 -56365*x^2 + 21257*y^2 + 29833*z^2
(-7403/24881 : 26898/24881 : 1) C2b (-122153/601869 : -4577/601869 : 1)
** u= -63/139 ; C1 -65546*x^2 - 23290*y^2 + 32866*z^2
(-14266/119739 : 140213/119739 : 1) C2a (451/1931 : 15/1931 : 1)
** u= -63/163 ; C1 -95738*x^2 - 30538*y^2 + 43138*z^2
(-9422/32103 : -34315/32103 : 1) C2a (1735919/4366755 : -98363/4366755 : 1)
** u= -62/35 ; C1 -1289*x^2 - 5069*y^2 + 1721*z^2
(-681/815 : -328/815 : 1) C2a (-780632/399297 : 13871/399297 : 1)
** u= -62/53 ; C1 -4745*x^2 - 6653*y^2 + 5537*z^2
(1253/1217 : -336/1217 : 1) C2a (-183686/100107 : 949/14301 : 1)
** u= -62/59 ; C1 -6617*x^2 - 7325*y^2 + 6953*z^2
(-2679/2615 : -436/13075 : 1) C2a (39472/40251 : 1115/40251 : 1)
** u= -62/69 ; C1 -10537*x^2 - 8605*y^2 + 9473*z^2
(703/1069 : 808/1069 : 1) C2a (114058/173819 : -1341/173819 : 1)
** u= -62/129 ; C1 -55057*x^2 - 20485*y^2 + 28793*z^2
(-17291/24113 : 3700/24113 : 1) C2a (-4253542/5949511 : -211545/5949511 : 1)
** u= -62/141 ; C1 -68281*x^2 - 23725*y^2 + 33521*z^2
(-9605/15833 : -47084/79165 : 1) C2a (54594/17605 : -14401/88025 : 1)
** u= -62/143 ; C1 -70625*x^2 - 24293*y^2 + 34337*z^2
(-68043/108875 : -2296/4355 : 1) C2a (20154/87013 : 887/87013 : 1)
** u= -62/147 ; C1 -75433*x^2 - 25453*y^2 + 35993*z^2
(-20015/39679 : 32236/39679 : 1) C2a (37064/79783 : -1929/79783 : 1)
** u= -62/151 ; C1 -80401*x^2 - 26645*y^2 + 37681*z^2
(7/207 : 17948/15111 : 1) C2a (106802/991193 : -66227/10336727 : 1)
** u= -62/181 ; C1 -122761*x^2 - 36605*y^2 + 51361*z^2
(3487/8117 : 7188/8117 : 1) C2a (165958/121447 : 8881/121447 : 1)
** u= -62/195 ; C1 -145609*x^2 - 41869*y^2 + 58361*z^2
(31054/84673 : -81485/84673 : 1) C2a (-4614/105565 : 1639/105565 : 1)
** u= -62/197 ; C1 -149033*x^2 - 42653*y^2 + 59393*z^2
(8817/14845 : -5936/14845 : 1) C2a (15631956/105487 : 819629/105487 : 1)
** u= -61/33 ; C1 {+/-} -1114*x^2 + 4810*y^2 + 1394*z^2
(343/773 : -382/773 : 1) C2a (-4101/2299 : -49/2299 : 1) C2b (-23312/70693 : -2553/70693 : 1)
** u= -61/41 ; C1 -2122*x^2 - 5402*y^2 + 2962*z^2
(19/21 : -10/21 : 1) C2a (59791/18727 : -1849/18727 : 1)
** u= -61/49 ; C1 {+/-} -3770*x^2 + 6122*y^2 + 4658*z^2
(43/73 : -54/73 : 1) C2a (-85571/28707 : 3167/28707 : 1) C2b (-226/257 : 1/257 : 1)
** u= -61/65 ; C1 -8986*x^2 + 7946*y^2 + 8434*z^2
(1138/1185 : -161/1185 : 1) C2b (48282/189757 : -5323/189757 : 1)
** u= -61/81 ; C1 -16762*x^2 + 10282*y^2 + 12722*z^2
(-4382/10285 : 587/605 : 1) C2b (9052/17785 : -117/17785 : 1)
** u= -61/89 ; C1 {+/-} -21610*x^2 + 11642*y^2 + 15058*z^2
(439/1497 : -1594/1497 : 1) C2a (-1035167/1610411 : -35669/1610411 : 1) C2b (318636/945115 : -15653/945115 : 1)
** u= -61/105 ; C1 {+/-} -33226*x^2 + 14746*y^2 + 20114*z^2
(-115/149 : 22/149 : 1) C2a (-2171771/906625 : -111351/906625 : 1) C2b (-314564/998239 : 10041/998239 : 1)
** u= -61/113 ; C1 -39994*x^2 + 16490*y^2 + 22834*z^2
(406/669 : -469/669 : 1) C2b (-58356/440111 : -965/62873 : 1)
** u= -61/121 ; C1 {+/-} -47402*x^2 + 18362*y^2 + 25682*z^2
(-130/11977 : 14163/11977 : 1) C2a (-3691/11163 : 109/11163 : 1) C2b (1612/88355 : 1267/88355 : 1)
** u= -61/137 ; C1 {+/-} -64138*x^2 + 22490*y^2 + 31762*z^2
(26773/39821 : -13974/39821 : 1) C2a (76699/76397 : 3997/76397 : 1) C2b (31626/361063 : 2597/361063 : 1)
** u= -60/67 ; C1 -9965*x^2 + 8089*y^2 + 8929*z^2
(504/551 : 149/551 : 1) C2b (234789/404549 : 4763/404549 : 1)
** u= -60/73 ; C1 -12725*x^2 + 8929*y^2 + 10489*z^2
(-5811/8995 : 1370/1799 : 1) C2b (-231847/555745 : -10743/555745 : 1)
** u= -60/97 ; C1 -27365*x^2 + 13009*y^2 + 17449*z^2
(13488/17081 : -2941/17081 : 1) C2b (-275079/935089 : -13657/935089 : 1)
** u= -60/119 ; C1 -45845*x^2 + 17761*y^2 + 24841*z^2
(4021/5469 : 314/5469 : 1) C2b (508329/1926455 : -7321/1926455 : 1)
** u= -60/121 ; C1 -47765*x^2 + 18241*y^2 + 25561*z^2
(-26779/77211 : -80474/77211 : 1) C2b (223853/1904597 : -23331/1904597 : 1)
** u= -59/199 ; C1 -154522*x^2 - 43082*y^2 + 59602*z^2
(-657398/1306387 : 900555/1306387 : 1) C2a (1511/142663 : 2429/142663 : 1)
** u= -58/35 ; C1 -1369*x^2 - 4589*y^2 + 1921*z^2
(599/555 : 4/15 : 1) C2a (1045082/116653 : -29741/116653 : 1)
** u= -58/57 ; C1 -6385*x^2 - 6613*y^2 + 6497*z^2
(45485/46933 : 12904/46933 : 1) C2a (-32178/32869 : 961/32869 : 1)
** u= -58/61 ; C1 -7817*x^2 - 7085*y^2 + 7433*z^2
(-2131/51853 : 53064/51853 : 1) C2a (27276/27347 : -917/27347 : 1)
** u= -58/77 ; C1 -15145*x^2 - 9293*y^2 + 11497*z^2
(1318/4623 : 4859/4623 : 1) C2a (215048/408569 : 239/408569 : 1)
** u= -58/97 ; C1 -27905*x^2 - 12773*y^2 + 17297*z^2
(11466/21331 : 18137/21331 : 1) C2a (-33162/85099 : 23/12157 : 1)
** u= -58/103 ; C1 -32513*x^2 - 13973*y^2 + 19193*z^2
(1230/2429 : -2141/2429 : 1) C2a (-2356086/3779267 : -101531/3779267 : 1)
** u= -58/105 ; C1 -34129*x^2 - 14389*y^2 + 19841*z^2
(-58525/76901 : -5512/76901 : 1) C2a (71294/34825 : 3669/34825 : 1)
** u= -58/115 ; C1 -42809*x^2 - 16589*y^2 + 23201*z^2
(-8771/104687 : 123000/104687 : 1) C2a (86282/168747 : 3829/168747 : 1)
** u= -58/155 ; C1 -87529*x^2 - 27389*y^2 + 38641*z^2
(6185/9947 : -4164/9947 : 1) C2a (-185714/2955445 : -30661/2955445 : 1)
** u= -58/177 ; C1 -118945*x^2 - 34693*y^2 + 48497*z^2
(-8666/39059 : -43303/39059 : 1) C2a (145596/459517 : -10157/459517 : 1)
** u= -57/53 ; C1 -5210*x^2 - 6058*y^2 + 5602*z^2
(-501/2381 : -2242/2381 : 1) C2a (235373/179121 : -8201/179121 : 1)
** u= -57/77 ; C1 {+/-} -15338*x^2 + 9178*y^2 + 11458*z^2
(-8339/20985 : -20822/20985 : 1) C2a (126119/127215 : -5347/127215 : 1) C2b (32408/139471 : -3189/139471 : 1)
** u= -57/157 ; C1 -90698*x^2 - 27898*y^2 + 39298*z^2
(-12873/26365 : -20986/26365 : 1) C2a (-19213/165135 : 2099/165135 : 1)
** u= -57/173 ; C1 -113450*x^2 - 33178*y^2 + 46402*z^2
(3031/7269 : 6518/7269 : 1) C2a (3031/1635 : 161/1635 : 1)
** u= -56/25 ; C1 -661*x^2 + 3761*y^2 + 289*z^2
(-544/825 : -17/825 : 1) C2b (573/493 : -1/29 : 1)
** u= -56/27 ; C1 -733*x^2 + 3865*y^2 + 617*z^2
(763/841 : -50/841 : 1) C2b (-192001/91533 : 55/91533 : 1)
** u= -56/37 ; C1 -1693*x^2 + 4505*y^2 + 2377*z^2
(-2384/5437 : 3669/5437 : 1) C2b (-19467/55631 : 1901/55631 : 1)
** u= -56/61 ; C1 -8077*x^2 + 6857*y^2 + 7417*z^2
(11984/18181 : -13725/18181 : 1) C2b (626441/1068207 : -13717/1068207 : 1)
** u= -56/103 ; C1 -33109*x^2 + 13745*y^2 + 19009*z^2
(-55003/86217 : 54706/86217 : 1) C2b (-54099/804281 : -13445/804281 : 1)
** u= -56/111 ; C1 -39877*x^2 + 15457*y^2 + 21617*z^2
(4960/8479 : 6089/8479 : 1) C2b (-5579/67913 : -933/67913 : 1)
** u= -56/123 ; C1 -51229*x^2 + 18265*y^2 + 25769*z^2
(2092/8467 : 9427/8467 : 1) C2b (38401/698351 : 6549/698351 : 1)
** u= -56/125 ; C1 -53261*x^2 + 18761*y^2 + 26489*z^2
(1495/3827 : 3786/3827 : 1) C2b (-91511/954175 : -7003/954175 : 1)
** u= -56/129 ; C1 -57445*x^2 + 19777*y^2 + 27953*z^2
(-7604/13021 : -8467/13021 : 1) C2b (-54863/728145 : 4069/728145 : 1)
** u= -55/27 ; C1 {+/-} -730*x^2 + 3754*y^2 + 674*z^2
(-7/911 : 386/911 : 1) C2a (-137739/22921 : -2449/22921 : 1) C2b (9566/8085 : 241/8085 : 1)
** u= -55/83 ; C1 {+/-} -19210*x^2 + 9914*y^2 + 12994*z^2
(11935/14667 : -2438/14667 : 1) C2a (1541/1451 : -71/1451 : 1) C2b (-5162/50535 : -1127/50535 : 1)
** u= -54/47 ; C1 -3809*x^2 - 5125*y^2 + 4369*z^2
(1029/1139 : -2824/5695 : 1) C2a (-444212/19003 : 18213/19003 : 1)
** u= -54/49 ; C1 -4337*x^2 - 5317*y^2 + 4777*z^2
(6427/8025 : 4916/8025 : 1) C2a (-7198/8205 : 139/8205 : 1)
** u= -54/119 ; C1 -48017*x^2 - 17077*y^2 + 24097*z^2
(2073/9487 : 10720/9487 : 1) C2a (-188552/987981 : -2893/987981 : 1)
** u= -54/133 ; C1 -62633*x^2 - 20605*y^2 + 29137*z^2
(-2469/13217 : -15116/13217 : 1) C2a (2658212/19923899 : 165849/19923899 : 1)
** u= -54/139 ; C1 -69497*x^2 - 22237*y^2 + 31417*z^2
(25986/58285 : -51857/58285 : 1) C2a (-3127094/2989327 : 166821/2989327 : 1)
** u= -54/167 ; C1 -106289*x^2 - 30805*y^2 + 43009*z^2
(-5937/18487 : -18856/18487 : 1) C2a (1304/7959 : 137/7959 : 1)
** u= -53/25 ; C1 {+/-} -634*x^2 + 3434*y^2 + 466*z^2
(-149/785 : -282/785 : 1) C2a (-258167/96637 : 2209/96637 : 1) C2b (12186/10321 : 329/10321 : 1)
** u= -53/49 ; C1 {+/-} -4426*x^2 + 5210*y^2 + 4786*z^2
(383/1553 : 1446/1553 : 1) C2a (-214049/246001 : -4343/246001 : 1) C2b (-6752/9153 : 79/9153 : 1)
** u= -53/121 ; C1 -50362*x^2 - 17450*y^2 + 24658*z^2
(226/845 : 357/325 : 1) C2a (-5/23 : -1/115 : 1)
** u= -52/29 ; C1 -877*x^2 + 3545*y^2 + 1153*z^2
(-1351/3663 : 1978/3663 : 1) C2b (-9939/7247 : -89/7247 : 1)
** u= -52/31 ; C1 -1061*x^2 + 3665*y^2 + 1481*z^2
(39/121 : -74/121 : 1) C2b (-83911/65639 : 383/65639 : 1)
** u= -52/43 ; C1 -3005*x^2 + 4553*y^2 + 3617*z^2
(-3189/5173 : 3814/5173 : 1) C2b (276901/331163 : 2531/331163 : 1)
** u= -52/53 ; C1 -5725*x^2 + 5513*y^2 + 5617*z^2
(68/69 : -7/69 : 1) C2b (557421/807785 : 2593/807785 : 1)
** u= -52/57 ; C1 -7093*x^2 + 5953*y^2 + 6473*z^2
(-19468/34397 : -28895/34397 : 1) C2b (30859/97763 : 2547/97763 : 1)
** u= -52/63 ; C1 -9445*x^2 + 6673*y^2 + 7817*z^2
(-6196/7543 : 3509/7543 : 1) C2b (40249/133635 : -3197/133635 : 1)
** u= -52/67 ; C1 -11213*x^2 + 7193*y^2 + 8753*z^2
(-5496/7895 : -5363/7895 : 1) C2b (13013/24385 : -127/24385 : 1)
** u= -52/81 ; C1 -18661*x^2 + 9265*y^2 + 12281*z^2
(10529/13159 : -2498/13159 : 1) C2b (-108349/252001 : -423/252001 : 1)
** u= -52/109 ; C1 -39437*x^2 + 14585*y^2 + 20513*z^2
(9684/26393 : 26947/26393 : 1) C2b (-3601/15833 : 25/15833 : 1)
** u= -51/23 ; C1 {+/-} -554*x^2 + 3130*y^2 + 274*z^2
(66/151 : 35/151 : 1) C2a (-359503/53877 : 4277/53877 : 1) C2b (18988/57053 : 2115/57053 : 1)
** u= -51/31 ; C1 {+/-} -1082*x^2 + 3562*y^2 + 1522*z^2
(-242/903 : -575/903 : 1) C2a (86191/4073 : -2499/4073 : 1) C2b (-3626/4957 : -147/4957 : 1)
** u= -51/127 ; C1 -57338*x^2 - 18730*y^2 + 26482*z^2
(-15074/27087 : 18487/27087 : 1) C2a (-891343/19689399 : -118093/19689399 : 1)
** u= -50/43 ; C1 -3145*x^2 - 4349*y^2 + 3649*z^2
(-5426/7309 : -4851/7309 : 1) C2a (633428/55 : 25781/55 : 1)
** u= -50/63 ; C1 -9745*x^2 - 6469*y^2 + 7769*z^2
(-4118/4649 : -641/4649 : 1) C2a (2456/2471 : 99/2471 : 1)
** u= -50/83 ; C1 -20345*x^2 - 9389*y^2 + 12689*z^2
(38642/70721 : 59361/70721 : 1) C2a (-468742/134445 : 24059/134445 : 1)
** u= -50/87 ; C1 -22945*x^2 - 10069*y^2 + 13769*z^2
(-10514/14309 : 5299/14309 : 1) C2a (7595542/7114723 : -53019/1016389 : 1)
** u= -50/107 ; C1 -38345*x^2 - 13949*y^2 + 19649*z^2
(21/191 : 224/191 : 1) C2a (-2255744/3955791 : 15787/565113 : 1)
** u= -50/113 ; C1 -43745*x^2 - 15269*y^2 + 21569*z^2
(-790/8683 : 10233/8683 : 1) C2a (-5536506/35757385 : 16237/35757385 : 1)
** u= -50/119 ; C1 -49505*x^2 - 16661*y^2 + 23561*z^2
(21606/31709 : 5899/31709 : 1) C2a (-58266/124285 : -3043/124285 : 1)
** u= -50/179 ; C1 -126905*x^2 - 34541*y^2 + 47441*z^2
(-4189/43679 : -50556/43679 : 1) C2a (-5381574/53351 : 280241/53351 : 1)
** u= -50/187 ; C1 -139945*x^2 - 37469*y^2 + 51169*z^2
(-1361/4203 : 4148/4203 : 1) C2a (923146/98251 : 47971/98251 : 1)
** u= -50/193 ; C1 -150145*x^2 - 39749*y^2 + 54049*z^2
(2453/4773 : 2872/4773 : 1) C2a (10036/111811 : 2251/111811 : 1)
** u= -49/53 ; C1 {+/-} -6058*x^2 + 5210*y^2 + 5602*z^2
(1802/2469 : -1667/2469 : 1) C2a (5021/7613 : 31/7613 : 1) C2b (13064/614433 : -18493/614433 : 1)
** u= -49/61 ; C1 {+/-} -9050*x^2 + 6122*y^2 + 7298*z^2
(-547/28445 : -6210/5689 : 1) C2a (-5374347/5120701 : 219739/5120701 : 1) C2b (-17494/42833 : 811/42833 : 1)
** u= -49/85 ; C1 {+/-} -21866*x^2 + 9626*y^2 + 13154*z^2
(561/725 : 2/25 : 1) C2a (-554777/448425 : 27533/448425 : 1) C2b (266/1415 : -23/1415 : 1)
** u= -49/101 ; C1 {+/-} -33610*x^2 + 12602*y^2 + 17698*z^2
(478/8793 : 10391/8793 : 1) C2a (-439763/360329 : -22691/360329 : 1) C2b (-19596/177007 : 2021/177007 : 1)
** u= -49/181 ; C1 -130730*x^2 - 35162*y^2 + 48098*z^2
(-1017/6349 : 7162/6349 : 1) C2a (-94701/1849985 : 35171/1849985 : 1)
** u= -48/29 ; C1 -941*x^2 + 3145*y^2 + 1321*z^2
(72/97 : -49/97 : 1) C2b (34209/111739 : -3959/111739 : 1)
** u= -48/43 ; C1 -3293*x^2 + 4153*y^2 + 3673*z^2
(108/1243 : -1165/1243 : 1) C2b (-6949/126557 : -4167/126557 : 1)
** u= -48/49 ; C1 -4901*x^2 + 4705*y^2 + 4801*z^2
(29/39 : 2/3 : 1) C2b (-733339/1336591 : 25365/1336591 : 1)
** u= -48/83 ; C1 -20813*x^2 + 9193*y^2 + 12553*z^2
(-3540/7363 : -6757/7363 : 1) C2b (2739/1249093 : -23807/1249093 : 1)
** u= -48/89 ; C1 -24821*x^2 + 10225*y^2 + 14161*z^2
(2856/8765 : 46529/43825 : 1) C2b (-20443/64855 : -9/2725 : 1)
** u= -48/109 ; C1 -40781*x^2 + 14185*y^2 + 20041*z^2
(10479/23459 : -21490/23459 : 1) C2b (-10417/70483 : 9/10069 : 1)
** u= -48/113 ; C1 -44453*x^2 + 15073*y^2 + 21313*z^2
(9965/46023 : -51982/46023 : 1) C2b (107961/1901657 : 7627/1901657 : 1)
** u= -47/27 ; C1 {+/-} -778*x^2 + 2938*y^2 + 1058*z^2
(46/55 : 23/55 : 1) C2a (237937/24725 : -273/1075 : 1) C2b (-23254/42895 : -63/1865 : 1)
** u= -47/83 ; C1 -21050*x^2 - 9098*y^2 + 12482*z^2
(1027/3131 : -3318/3131 : 1) C2a (504893/790395 : 277/10005 : 1)
** u= -47/163 ; C1 -104410*x^2 - 28778*y^2 + 39682*z^2
(-2129/10431 : 11558/10431 : 1) C2a (-17281/27923 : 1027/27923 : 1)
** u= -46/21 ; C1 -457*x^2 - 2557*y^2 + 257*z^2
(362/3475 : -1091/3475 : 1) C2a (3194974/42437 : -44979/42437 : 1)
** u= -46/33 ; C1 -1489*x^2 - 3205*y^2 + 2009*z^2
(49/3749 : -2968/3749 : 1) C2a (-474816/119161 : 2309/17023 : 1)
** u= -46/35 ; C1 -1801*x^2 - 3341*y^2 + 2329*z^2
(14771/13395 : 2732/13395 : 1) C2a (9562/1823 : -349/1823 : 1)
** u= -46/49 ; C1 -5105*x^2 - 4517*y^2 + 4793*z^2
(685/1433 : 1284/1433 : 1) C2a (401622/576725 : 5563/576725 : 1)
** u= -46/53 ; C1 -6409*x^2 - 4925*y^2 + 5569*z^2
(49/53 : 36/265 : 1) C2a (14098/14489 : -2587/72445 : 1)
** u= -46/67 ; C1 -12233*x^2 - 6605*y^2 + 8537*z^2
(2079/2503 : -304/2503 : 1) C2a (-19736064/2190497 : -995617/2190497 : 1)
** u= -46/87 ; C1 -23953*x^2 - 9685*y^2 + 13457*z^2
(2566/4177 : -2821/4177 : 1) C2a (181852/564599 : 2799/564599 : 1)
** u= -46/125 ; C1 -57241*x^2 - 17741*y^2 + 25009*z^2
(11159/21813 : 16400/21813 : 1) C2a (1618148/636043 : -85631/636043 : 1)
** u= -46/129 ; C1 -61585*x^2 - 18757*y^2 + 26393*z^2
(-4798/8467 : -5029/8467 : 1) C2a (-266052/567695 : -15547/567695 : 1)
** u= -46/177 ; C1 -126193*x^2 - 33445*y^2 + 45497*z^2
(2417/23909 : -27488/23909 : 1) C2a (1113914/579323 : -58827/579323 : 1)
** u= -46/179 ; C1 -129385*x^2 - 34157*y^2 + 46393*z^2
(59363/102499 : -30348/102499 : 1) C2a (-544778/682711 : 31259/682711 : 1)
** u= -45/161 ; C1 -102650*x^2 - 27946*y^2 + 38386*z^2
(-129/341 : -314/341 : 1) C2a (-97891/969981 : 18401/969981 : 1)
** u= -44/23 ; C1 -533*x^2 + 2465*y^2 + 617*z^2
(-216/263 : 85/263 : 1) C2b (22787/13669 : 11/13669 : 1)
** u= -44/31 ; C1 -1285*x^2 + 2897*y^2 + 1753*z^2
(-6308/6103 : -2211/6103 : 1) C2b (-17043/287315 : 10189/287315 : 1)
** u= -44/43 ; C1 -3613*x^2 + 3785*y^2 + 3697*z^2
(4121/4497 : 1882/4497 : 1) C2b (2630187/3713921 : 24185/3713921 : 1)
** u= -44/49 ; C1 -5317*x^2 + 4337*y^2 + 4777*z^2
(15203/16067 : 990/16067 : 1) C2b (-630467/3746739 : 106901/3746739 : 1)
** u= -44/51 ; C1 -5965*x^2 + 4537*y^2 + 5153*z^2
(-5612/20239 : 20587/20239 : 1) C2b (729479/1481475 : -25147/1481475 : 1)
** u= -44/53 ; C1 -6653*x^2 + 4745*y^2 + 5537*z^2
(-1848/4321 : -4123/4321 : 1) C2b (361001/676907 : -1117/96701 : 1)
** u= -44/79 ; C1 -19237*x^2 + 8177*y^2 + 11257*z^2
(2500/3403 : -1113/3403 : 1) C2b (-39579/199877 : -2917/199877 : 1)
** u= -43/39 ; C1 -2746*x^2 - 3370*y^2 + 3026*z^2
(598/623 : -239/623 : 1) C2a (43307/8287 : -1803/8287 : 1)
** u= -43/71 ; C1 -14842*x^2 - 6890*y^2 + 9298*z^2
(-479/4867 : -5610/4867 : 1) C2a (-1322497/3295541 : 11207/3295541 : 1)
** u= -43/127 ; C1 -60650*x^2 - 17978*y^2 + 25202*z^2
(-5066/8611 : -4167/8611 : 1) C2a (124971/141875 : -6851/141875 : 1)
** u= -42/23 ; C1 -545*x^2 - 2293*y^2 + 697*z^2
(331/1071 : 568/1071 : 1) C2a (-3000476/158595 : -73271/158595 : 1)
** u= -42/25 ; C1 -689*x^2 - 2389*y^2 + 961*z^2
(-558/475 : -31/475 : 1) C2a (-166102/93 : -151/3 : 1)
** u= -42/43 ; C1 -3785*x^2 - 3613*y^2 + 3697*z^2
(3102/3181 : 523/3181 : 1) C2a (62488/15149 : -2769/15149 : 1)
** u= -42/55 ; C1 -7649*x^2 - 4789*y^2 + 5881*z^2
(-206/6405 : 7093/6405 : 1) C2a (137384/30481 : -6717/30481 : 1)
** u= -42/67 ; C1 -12953*x^2 - 6253*y^2 + 8353*z^2
(-846/1145 : -6739/14885 : 1) C2a (-2078/4065 : -803/52845 : 1)
** u= -42/85 ; C1 -23609*x^2 - 8989*y^2 + 12601*z^2
(11055/22513 : 19736/22513 : 1) C2a (-9068/34647 : 79/34647 : 1)
** u= -42/109 ; C1 -42857*x^2 - 13645*y^2 + 19273*z^2
(-9582/30551 : 32093/30551 : 1) C2a (2693776/731177 : 142383/731177 : 1)
** u= -42/115 ; C1 -48569*x^2 - 14989*y^2 + 21121*z^2
(22635/34559 : -4772/34559 : 1) C2a (2882/81357 : -899/81357 : 1)
** u= -42/121 ; C1 -54641*x^2 - 16405*y^2 + 23041*z^2
(19079/33369 : 18748/33369 : 1) C2a (-778/1457 : 45/1457 : 1)
** u= -42/127 ; C1 -61073*x^2 - 17893*y^2 + 25033*z^2
(-19978/32673 : -11455/32673 : 1) C2a (15566/37907 : -981/37907 : 1)
** u= -42/151 ; C1 -90401*x^2 - 24565*y^2 + 33721*z^2
(-1953/6827 : -120140/116059 : 1) C2a (1818662/397657 : -94959/397657 : 1)
** u= -42/157 ; C1 -98633*x^2 - 26413*y^2 + 36073*z^2
(3062/11307 : -11815/11307 : 1) C2a (-732476/237495 : -38303/237495 : 1)
** u= -42/167 ; C1 -113153*x^2 - 29653*y^2 + 40153*z^2
(42910/72357 : 7957/72357 : 1) C2a (-245942/64889 : -12783/64889 : 1)
** u= -42/169 ; C1 -116177*x^2 - 30325*y^2 + 40993*z^2
(12779/22293 : 6796/22293 : 1) C2a (228820/128953 : -60531/644765 : 1)
** u= -42/193 ; C1 -155585*x^2 - 39013*y^2 + 51697*z^2
(-38619/154541 : -5528/5329 : 1) C2a (-74552/1164671 : 26001/1164671 : 1)
** u= -42/199 ; C1 -166337*x^2 - 41365*y^2 + 54553*z^2
(20034/48773 : -39029/48773 : 1) C2a (-23128142/8785971 : 1196539/8785971 : 1)
** u= -41/29 ; C1 {+/-} -1130*x^2 + 2522*y^2 + 1538*z^2
(-81/77 : 26/77 : 1) C2a (-18129/10415 : -509/10415 : 1) C2b (306388/300089 : -637/300089 : 1)
** u= -41/133 ; C1 -68314*x^2 - 19370*y^2 + 26914*z^2
(2566/4101 : 383/4101 : 1) C2a (41143/94687 : 2641/94687 : 1)
** u= -41/181 ; C1 -135802*x^2 - 34442*y^2 + 45922*z^2
(15262/36377 : -29085/36377 : 1) C2a (1/5 : -121/5065 : 1)
** u= -40/19 ; C1 -365*x^2 + 1961*y^2 + 281*z^2
(-720/899 : 139/899 : 1) C2b (-2131/3181 : 113/3181 : 1)
** u= -40/39 ; C1 -2965*x^2 + 3121*y^2 + 3041*z^2
(-356/391 : 169/391 : 1) C2b (16019/26179 : -447/26179 : 1)
** u= -40/67 ; C1 -13325*x^2 + 6089*y^2 + 8249*z^2
(1937/15685 : 3606/3137 : 1) C2b (-584041/1592249 : -10163/1592249 : 1)
** u= -40/77 ; C1 -18925*x^2 + 7529*y^2 + 10489*z^2
(-1924/3369 : 2551/3369 : 1) C2b (14769/186815 : -2789/186815 : 1)
** u= -39/35 ; C1 {+/-} -2186*x^2 + 2746*y^2 + 2434*z^2
(-327/1571 : -1450/1571 : 1) C2a (35227/34585 : 933/34585 : 1) C2b (-12/1607 : 53/1607 : 1)
** u= -39/115 ; C1 -49706*x^2 - 14746*y^2 + 20674*z^2
(-13350/30967 : -27271/30967 : 1) C2a (68069/281835 : -5231/281835 : 1)
** u= -39/155 ; C1 -97466*x^2 - 25546*y^2 + 34594*z^2
(-23506/222135 : 254387/222135 : 1) C2a (-2025403/1112503 : -15297/158929 : 1)
** u= -38/23 ; C1 -593*x^2 - 1973*y^2 + 833*z^2
(735/1751 : 1064/1751 : 1) C2a (-142118/37275 : -553/5325 : 1)
** u= -38/45 ; C1 -4729*x^2 - 3469*y^2 + 4001*z^2
(-4435/6857 : -5236/6857 : 1) C2a (-24252/27593 : 851/27593 : 1)
** u= -38/77 ; C1 -19385*x^2 - 7373*y^2 + 10337*z^2
(-393/1333 : 1444/1333 : 1) C2a (111312/423401 : 1219/423401 : 1)
** u= -38/89 ; C1 -27521*x^2 - 9365*y^2 + 13241*z^2
(-3998/7447 : 5607/7447 : 1) C2a (-274462/214413 : -14453/214413 : 1)
** u= -38/99 ; C1 -35401*x^2 - 11245*y^2 + 15881*z^2
(-2506/3749 : 281/3749 : 1) C2a (137732/561517 : 8715/561517 : 1)
** u= -38/101 ; C1 -37097*x^2 - 11645*y^2 + 16433*z^2
(-15498/34999 : -31039/34999 : 1) C2a (-2028272/311481 : 107101/311481 : 1)
** u= -38/103 ; C1 -38833*x^2 - 12053*y^2 + 16993*z^2
(-97606/230629 : -210465/230629 : 1) C2a (-20198/84841 : 1387/84841 : 1)
** u= -38/121 ; C1 -56257*x^2 - 16085*y^2 + 22393*z^2
(-5719/9453 : -3164/9453 : 1) C2a (-110048/83209 : -845/11887 : 1)
** u= -38/131 ; C1 -67337*x^2 - 18605*y^2 + 25673*z^2
(-69/187 : -632/671 : 1) C2a (2726/10227 : -13939/623847 : 1)
** u= -38/147 ; C1 -87145*x^2 - 23053*y^2 + 31337*z^2
(-223/479 : 352/479 : 1) C2a (-312616/368083 : 17733/368083 : 1)
** u= -38/161 ; C1 -106577*x^2 - 27365*y^2 + 36713*z^2
(5489/10973 : 6648/10973 : 1) C2a (-8935175646/15077210527 : -558437767/15077210527 : 1)
** u= -38/165 ; C1 -112489*x^2 - 28669*y^2 + 38321*z^2
(48451/84553 : 18580/84553 : 1) C2a (-704952/107405 : 36287/107405 : 1)
** u= -38/199 ; C1 -169201*x^2 - 41045*y^2 + 53281*z^2
(-98/1117 : 1257/1117 : 1) C2a (1490594/7273729 : 187091/7273729 : 1)
** u= -37/17 ; C1 -298*x^2 + 1658*y^2 + 178*z^2
(67/165 : 46/165 : 1) C2b (-34032/22141 : -661/22141 : 1)
** u= -37/57 ; C1 -9178*x^2 - 4618*y^2 + 6098*z^2
(-2635/3977 : 2662/3977 : 1) C2a (-10176567/335009 : 519557/335009 : 1)
** u= -37/89 ; C1 {+/-} -27802*x^2 + 9290*y^2 + 13138*z^2
(4187/7209 : 4586/7209 : 1) C2a (-17147/284491 : 727/284491 : 1) C2b (10904/306723 : 89/306723 : 1)
** u= -37/137 ; C1 -74938*x^2 - 20138*y^2 + 27538*z^2
(5110/12329 : -10521/12329 : 1) C2a (-242209/23555 : 1799/3365 : 1)
** u= -36/49 ; C1 -6245*x^2 + 3697*y^2 + 4633*z^2
(-1367/1599 : -218/1599 : 1) C2b (295641/578813 : 709/578813 : 1)
** u= -36/53 ; C1 -7709*x^2 + 4105*y^2 + 5329*z^2
(292/357 : 73/357 : 1) C2b (-74277/161257 : -7/2209 : 1)
** u= -36/61 ; C1 -11117*x^2 + 5017*y^2 + 6817*z^2
(2844/10085 : -10967/10085 : 1) C2b (1059/3877 : 53/3877 : 1)
** u= -35/23 ; C1 {+/-} -650*x^2 + 1754*y^2 + 914*z^2
(6/35 : -5/7 : 1) C2a (-42153/2525 : -1349/2525 : 1) C2b (-17684/15749 : -13/15749 : 1)
** u= -35/39 ; C1 {+/-} -3370*x^2 + 2746*y^2 + 3026*z^2
(502/547 : -143/547 : 1) C2a (1048087/668953 : -44703/668953 : 1) C2b (-3526/23421 : -673/23421 : 1)
** u= -35/87 ; C1 -26890*x^2 - 8794*y^2 + 12434*z^2
(9295/14711 : 6466/14711 : 1) C2a (169147/8017 : -8937/8017 : 1)
** u= -34/15 ; C1 -241*x^2 - 1381*y^2 + 89*z^2
(43/791 : -200/791 : 1) C2a (-1706/509 : -3/509 : 1)
** u= -34/31 ; C1 -1745*x^2 - 2117*y^2 + 1913*z^2
(-1766/2629 : 1917/2629 : 1) C2a (-156968/23025 : 6587/23025 : 1)
** u= -34/41 ; C1 -3985*x^2 - 2837*y^2 + 3313*z^2
(-2737/6729 : -6508/6729 : 1) C2a (-280312/32339 : 13429/32339 : 1)
** u= -34/87 ; C1 -27169*x^2 - 8725*y^2 + 12329*z^2
(-1898/5605 : -28799/28025 : 1) C2a (-2830/418073 : 15693/2090365 : 1)
** u= -34/105 ; C1 -42001*x^2 - 12181*y^2 + 17009*z^2
(587/1325 : -1124/1325 : 1) C2a (-321202/1107287 : 23571/1107287 : 1)
** u= -34/111 ; C1 -47665*x^2 - 13477*y^2 + 18713*z^2
(-10087/31523 : -31936/31523 : 1) C2a (10908/528235 : 8617/528235 : 1)
** u= -34/115 ; C1 -51641*x^2 - 14381*y^2 + 19889*z^2
(21251/39863 : -24000/39863 : 1) C2a (4191804/609421 : 219287/609421 : 1)
** u= -34/147 ; C1 -89209*x^2 - 22765*y^2 + 30449*z^2
(86/1289 : -1481/1289 : 1) C2a (287342/442033 : 17511/442033 : 1)
** u= -34/155 ; C1 -100201*x^2 - 25181*y^2 + 33409*z^2
(-706/1225 : -87/1225 : 1) C2a (-5606/311 : 287/311 : 1)
** u= -34/183 ; C1 -143713*x^2 - 34645*y^2 + 44777*z^2
(-3923/7879 : 52636/102427 : 1) C2a (-3048/58859 : 18325/765167 : 1)
** u= -34/189 ; C1 -154057*x^2 - 36877*y^2 + 47417*z^2
(53506/116659 : 74425/116659 : 1) C2a (45795714/21358963 : -2364169/21358963 : 1)
** u= -33/61 ; C1 {+/-} -11642*x^2 + 4810*y^2 + 6658*z^2
(-762/1109 : 545/1109 : 1) C2a (-3641/1333 : 189/1333 : 1) C2b (36264/123893 : 893/123893 : 1)
** u= -33/133 ; C1 -71978*x^2 - 18778*y^2 + 25378*z^2
(4615/8061 : 2486/8061 : 1) C2a (346187/498021 : 20537/498021 : 1)
** u= -32/21 ; C1 -541*x^2 + 1465*y^2 + 761*z^2
(-236/281 : 143/281 : 1) C2b (6197/17617 : 603/17617 : 1)
** u= -32/31 ; C1 -1861*x^2 + 1985*y^2 + 1921*z^2
(-628/6447 : -6313/6447 : 1) C2b (4311/9539 : -239/9539 : 1)
** u= -32/49 ; C1 -6757*x^2 + 3425*y^2 + 4513*z^2
(20/513 : 2941/2565 : 1) C2b (1453/17151 : -379/17151 : 1)
** u= -32/77 ; C1 -20813*x^2 + 6953*y^2 + 9833*z^2
(-2328/6805 : 7019/6805 : 1) C2b (-37/17189 : 31/17189 : 1)
** u= -31/19 ; C1 -410*x^2 - 1322*y^2 + 578*z^2
(374/1051 : -663/1051 : 1) C2a (-633/365 : 13/365 : 1)
** u= -31/51 ; C1 {+/-} -7642*x^2 + 3562*y^2 + 4802*z^2
(49/2111 : 2450/2111 : 1) C2a (47783/90601 : 33/1849 : 1) C2b (-4054/23765 : 9/485 : 1)
** u= -31/83 ; C1 -25114*x^2 - 7850*y^2 + 11074*z^2
(-217/615 : -3094/3075 : 1) C2a (-26729/44149 : 211/6307 : 1)
** u= -30/29 ; C1 -1625*x^2 - 1741*y^2 + 1681*z^2
(451/945 : 164/189 : 1) C2a (132754/93849 : -121/2289 : 1)
** u= -30/43 ; C1 -4985*x^2 - 2749*y^2 + 3529*z^2
(1/639 : 724/639 : 1) C2a (-33616/2811 : 1691/2811 : 1)
** u= -30/47 ; C1 -6305*x^2 - 3109*y^2 + 4129*z^2
(618/901 : 551/901 : 1) C2a (-64084/145621 : 771/145621 : 1)
** u= -30/49 ; C1 -7025*x^2 - 3301*y^2 + 4441*z^2
(4219/5505 : 340/1101 : 1) C2a (-24316/60291 : 79/60291 : 1)
** u= -30/91 ; C1 -31385*x^2 - 9181*y^2 + 12841*z^2
(1447/5487 : 5912/5487 : 1) C2a (336778/82467 : 17737/82467 : 1)
** u= -30/103 ; C1 -41585*x^2 - 11509*y^2 + 15889*z^2
(4007/6639 : 1684/6639 : 1) C2a (52154/320219 : -6201/320219 : 1)
** u= -30/113 ; C1 -51185*x^2 - 13669*y^2 + 18649*z^2
(-5451/13681 : -12004/13681 : 1) C2a (-9134854/536485 : 474213/536485 : 1)
** u= -30/163 ; C1 -114185*x^2 - 27469*y^2 + 35449*z^2
(-189/1531 : 1696/1531 : 1) C2a (-543494/288891 : 28289/288891 : 1)
** u= -30/187 ; C1 -153305*x^2 - 35869*y^2 + 45289*z^2
(5946/14381 : -10489/14381 : 1) C2a (-9605678/16270605 : -629671/16270605 : 1)
** u= -30/197 ; C1 -171305*x^2 - 39709*y^2 + 49729*z^2
(-33450/64567 : -19847/64567 : 1) C2a (-1887848/55527 : -421/249 : 1)
** u= -29/25 ; C1 {+/-} -1066*x^2 + 1466*y^2 + 1234*z^2
(-250/693 : -599/693 : 1) C2a (6419/1115 : -259/1115 : 1) C2b (60984/128005 : 3493/128005 : 1)
** u= -29/41 ; C1 {+/-} -4490*x^2 + 2522*y^2 + 3218*z^2
(-1275/3101 : -3062/3101 : 1) C2a (1772021/90153 : -88913/90153 : 1) C2b (3542/7355 : 31/7355 : 1)
** u= -29/81 ; C1 -24250*x^2 - 7402*y^2 + 10418*z^2
(-27499/53305 : -7802/10661 : 1) C2a (164499/446393 : -10117/446393 : 1)
** u= -29/169 ; C1 -124042*x^2 - 29402*y^2 + 37522*z^2
(9349/17469 : -4550/17469 : 1) C2a (-1217489/344245 : -61693/344245 : 1)
** u= -28/13 ; C1 -173*x^2 + 953*y^2 + 113*z^2
(76/161 : -45/161 : 1) C2b (42767/23249 : -569/23249 : 1)
** u= -28/15 ; C1 -229*x^2 + 1009*y^2 + 281*z^2
(97/185 : 86/185 : 1) C2b (6361/4039 : -9/4039 : 1)
** u= -28/31 ; C1 -2117*x^2 + 1745*y^2 + 1913*z^2
(-2541/3173 : -1790/3173 : 1) C2b (-33889/202097 : 5791/202097 : 1)
** u= -28/55 ; C1 -9749*x^2 + 3809*y^2 + 5321*z^2
(-5367/20545 : -22714/20545 : 1) C2b (63899/949361 : -13591/949361 : 1)
** u= -27/47 ; C1 {+/-} -6698*x^2 + 2938*y^2 + 4018*z^2
(-294/839 : 875/839 : 1) C2a (-65021/76083 : -437/10869 : 1) C2b (8556/96845 : 253/13835 : 1)
** u= -27/55 ; C1 {+/-} -9914*x^2 + 3754*y^2 + 5266*z^2
(-250/2091 : -2443/2091 : 1) C2a (-47051/146649 : -1523/146649 : 1) C2b (73652/365015 : -2931/365015 : 1)
** u= -27/199 ; C1 -177242*x^2 - 40330*y^2 + 49618*z^2
(8538/89551 : 97703/89551 : 1) C2a (-121499/175443 : -7553/175443 : 1)
** u= -26/11 ; C1 -137*x^2 - 797*y^2 + 17*z^2
(-25/179 : -24/179 : 1) C2a (-663096/8633 : -4291/8633 : 1)
** u= -26/23 ; C1 -929*x^2 - 1205*y^2 + 1049*z^2
(162/157 : 35/157 : 1) C2a (-289554/354641 : -2393/354641 : 1)
** u= -26/37 ; C1 -3673*x^2 - 2045*y^2 + 2617*z^2
(181/2157 : 2428/2157 : 1) C2a (-11546/22943 : -155/22943 : 1)
** u= -26/55 ; C1 -10081*x^2 - 3701*y^2 + 5209*z^2
(1366/2577 : -2065/2577 : 1) C2a (8522/13877 : 419/13877 : 1)
** u= -26/57 ; C1 -10993*x^2 - 3925*y^2 + 5537*z^2
(-70/151 : 679/755 : 1) C2a (-1578/3199 : 11/457 : 1)
** u= -26/61 ; C1 -12937*x^2 - 4397*y^2 + 6217*z^2
(-491/3165 : -3668/3165 : 1) C2a (-567476/548983 : 29839/548983 : 1)
** u= -26/63 ; C1 -13969*x^2 - 4645*y^2 + 6569*z^2
(-23/43 : -32/43 : 1) C2a (98042/960707 : -5493/960707 : 1)
** u= -26/75 ; C1 -21001*x^2 - 6301*y^2 + 8849*z^2
(-1022/3785 : -4079/3785 : 1) C2a (-107486/50671 : -5697/50671 : 1)
** u= -26/107 ; C1 -46793*x^2 - 12125*y^2 + 16337*z^2
(-806/1697 : 5859/8485 : 1) C2a (-290734/152427 : -2471/24585 : 1)
** u= -26/139 ; C1 -82825*x^2 - 19997*y^2 + 25873*z^2
(1409/2595 : -140/519 : 1) C2a (-219964/46897 : -11173/46897 : 1)
** u= -26/153 ; C1 -101809*x^2 - 24085*y^2 + 30689*z^2
(-14962/85967 : 92035/85967 : 1) C2a (-1089294/1481741 : -65687/1481741 : 1)
** u= -25/29 ; C1 {+/-} -1930*x^2 + 1466*y^2 + 1666*z^2
(-931/1009 : -126/1009 : 1) C2a (-4121/3829 : -23/547 : 1) C2b (68/117 : -1/117 : 1)
** u= -25/53 ; C1 {+/-} -9370*x^2 + 3434*y^2 + 4834*z^2
(469/829 : -606/829 : 1) C2a (2783/8485 : 109/8485 : 1) C2b (2094/17009 : 163/17009 : 1)
** u= -25/109 ; C1 -49130*x^2 - 12506*y^2 + 16706*z^2
(-15/221 : -194/169 : 1) C2a (-3481/27765 : -8069/360945 : 1)
** u= -24/11 ; C1 -125*x^2 + 697*y^2 + 73*z^2
(933/1945 : -98/389 : 1) C2b (9271/3617 : 21/3617 : 1)
** u= -24/29 ; C1 -1997*x^2 + 1417*y^2 + 1657*z^2
(405/727 : -622/727 : 1) C2b (2931/6185 : -101/6185 : 1)
** u= -24/31 ; C1 -2405*x^2 + 1537*y^2 + 1873*z^2
(51/97 : -86/97 : 1) C2b (863433/1593755 : -2401/1593755 : 1)
** u= -24/35 ; C1 -3341*x^2 + 1801*y^2 + 2329*z^2
(549/1577 : 1630/1577 : 1) C2b (-9813/32003 : -577/32003 : 1)
** u= -24/53 ; C1 -9533*x^2 + 3385*y^2 + 4777*z^2
(89/483 : 554/483 : 1) C2b (861/57007 : 541/57007 : 1)
** u= -23/11 ; C1 {+/-} -122*x^2 + 650*y^2 + 98*z^2
(14/19 : 21/95 : 1) C2a (1083/427 : 7/305 : 1) C2b (776/479 : -59/2395 : 1)
** u= -23/35 ; C1 {+/-} -3434*x^2 + 1754*y^2 + 2306*z^2
(6/23 : -25/23 : 1) C2a (-5733/7403 : 239/7403 : 1) C2b (-9304/29525 : 473/29525 : 1)
** u= -23/51 ; C1 {+/-} -8842*x^2 + 3130*y^2 + 4418*z^2
(-1363/2351 : 1598/2351 : 1) C2a (52881/169717 : 49/3611 : 1) C2b (-6092/49491 : 7/1053 : 1)
** u= -22/15 ; C1 -289*x^2 - 709*y^2 + 401*z^2
(550/493 : 7/29 : 1) C2a (-3474/3181 : -23/3181 : 1)
** u= -22/25 ; C1 -1409*x^2 - 1109*y^2 + 1241*z^2
(373/665 : -564/665 : 1) C2a (-9496/5265 : 419/5265 : 1)
** u= -22/83 ; C1 -27625*x^2 - 7373*y^2 + 10057*z^2
(4489/9695 : 1452/1939 : 1) C2a (170864/224977 : -9863/224977 : 1)
** u= -22/95 ; C1 -37249*x^2 - 9509*y^2 + 12721*z^2
(-3179/6755 : -24/35 : 1) C2a (7028/29327 : -721/29327 : 1)
** u= -22/119 ; C1 -60817*x^2 - 14645*y^2 + 18913*z^2
(649/1887 : -1688/1887 : 1) C2a (1474448/275371 : 74741/275371 : 1)
** u= -22/139 ; C1 -84857*x^2 - 19805*y^2 + 24953*z^2
(3903/60791 : -67756/60791 : 1) C2a (8770344/15862733 : 592357/15862733 : 1)
** u= -22/151 ; C1 -101201*x^2 - 23285*y^2 + 28961*z^2
(-8098/20993 : 16221/20993 : 1) C2a (-238248/584977 : -19151/584977 : 1)
** u= -22/161 ; C1 -115921*x^2 - 26405*y^2 + 32521*z^2
(-136733/356913 : 273524/356913 : 1) C2a (1954916/1285871 : 102115/1285871 : 1)
** u= -22/195 ; C1 -173449*x^2 - 38509*y^2 + 46121*z^2
(12914/26657 : 9995/26657 : 1) C2a (-252748/536057 : -19089/536057 : 1)
** u= -21/113 ; C1 -54794*x^2 - 13210*y^2 + 17074*z^2
(54/3241 : 3683/3241 : 1) C2a (4159/24729 : -625/24729 : 1)
** u= -21/169 ; C1 -129050*x^2 - 29002*y^2 + 35218*z^2
(-753/1573 : 694/1573 : 1) C2a (-7507/685441 : -18339/685441 : 1)
** u= -20/23 ; C1 -1205*x^2 + 929*y^2 + 1049*z^2
(-4488/6119 : 4019/6119 : 1) C2b (29959/50459 : -373/50459 : 1)
** u= -20/33 ; C1 -3205*x^2 + 1489*y^2 + 2009*z^2
(-1736/2249 : -581/2249 : 1) C2b (-1357/4415 : -57/4415 : 1)
** u= -19/55 ; C1 -11306*x^2 - 3386*y^2 + 4754*z^2
(662/1075 : 399/1075 : 1) C2a (-39007/11403 : -2059/11403 : 1)
** u= -19/79 ; C1 -25562*x^2 - 6602*y^2 + 8882*z^2
(3306/6055 : -2647/6055 : 1) C2a (41151/28373 : -2201/28373 : 1)
** u= -19/135 ; C1 -81226*x^2 - 18586*y^2 + 22994*z^2
(-8125/32107 : 31414/32107 : 1) C2a (-308409/45895 : 15289/45895 : 1)
** u= -19/159 ; C1 -114682*x^2 - 25642*y^2 + 30962*z^2
(5318/10235 : -61/10235 : 1) C2a (1348893/1967471 : -84563/1967471 : 1)
** u= -18/37 ; C1 -4505*x^2 - 1693*y^2 + 2377*z^2
(-353/1737 : 1976/1737 : 1) C2a (61438/86915 : -3033/86915 : 1)
** u= -18/65 ; C1 -16769*x^2 - 4549*y^2 + 6241*z^2
(158/3315 : 3871/3315 : 1) C2a (11258/21883 : -9/277 : 1)
** u= -18/67 ; C1 -17945*x^2 - 4813*y^2 + 6577*z^2
(6322/12741 : 8533/12741 : 1) C2a (-39664/43187 : 2217/43187 : 1)
** u= -18/83 ; C1 -28793*x^2 - 7213*y^2 + 9553*z^2
(3375/15331 : 16304/15331 : 1) C2a (-44464/450655 : -10227/450655 : 1)
** u= -18/101 ; C1 -44057*x^2 - 10525*y^2 + 13513*z^2
(-139/381 : 1624/1905 : 1) C2a (161318/238983 : -49849/1194915 : 1)
** u= -18/115 ; C1 -58169*x^2 - 13549*y^2 + 17041*z^2
(1210/3273 : 2681/3273 : 1) C2a (-3544/469 : 177/469 : 1)
** u= -18/119 ; C1 -62561*x^2 - 14485*y^2 + 18121*z^2
(8226/24301 : -21131/24301 : 1) C2a (-5285302/10223 : 262671/10223 : 1)
** u= -18/145 ; C1 -95009*x^2 - 21349*y^2 + 25921*z^2
(161/18705 : -20608/18705 : 1) C2a (135518/104397 : 313/4539 : 1)
** u= -17/29 ; C1 -2522*x^2 + 1130*y^2 + 1538*z^2
(-326/773 : 759/773 : 1) C2b (-106/4067 : -79/4067 : 1)
** u= -17/77 ; C1 -24698*x^2 - 6218*y^2 + 8258*z^2
(9355/23437 : 19542/23437 : 1) C2a (-5743/18405 : 499/18405 : 1)
** u= -17/189 ; C1 -166042*x^2 - 36010*y^2 + 41858*z^2
(-1081/15497 : -16546/15497 : 1) C2a (553257/349679 : 28279/349679 : 1)
** u= -16/7 ; C1 -53*x^2 + 305*y^2 + 17*z^2
(36/67 : 5/67 : 1) C2b (-4147/1271 : 19/1271 : 1)
** u= -16/9 ; C1 -85*x^2 + 337*y^2 + 113*z^2
(-20/53 : 29/53 : 1) C2b (1037/1515 : 49/1515 : 1)
** u= -16/21 ; C1 -1117*x^2 + 697*y^2 + 857*z^2
(-337/2083 : -2270/2083 : 1) C2b (-892889/1795767 : 16997/1795767 : 1)
** u= -14/9 ; C1 -97*x^2 - 277*y^2 + 137*z^2
(-179/161 : 40/161 : 1) C2a (7254/5665 : -97/5665 : 1)
** u= -14/11 ; C1 -185*x^2 - 317*y^2 + 233*z^2
(49/71 : -48/71 : 1) C2a (138312/107375 : -3743/107375 : 1)
** u= -14/13 ; C1 -313*x^2 - 365*y^2 + 337*z^2
(46/47 : 15/47 : 1) C2a (248428/36241 : 10541/36241 : 1)
** u= -14/25 ; C1 -1921*x^2 - 821*y^2 + 1129*z^2
(677/889 : 120/889 : 1) C2a (18398/49375 : 353/49375 : 1)
** u= -14/37 ; C1 -4969*x^2 - 1565*y^2 + 2209*z^2
(-1081/1629 : -188/1629 : 1) C2a (836/1739 : -1/37 : 1)
** u= -14/39 ; C1 -5617*x^2 - 1717*y^2 + 2417*z^2
(-6857/13655 : -10424/13655 : 1) C2a (19896/100585 : 1567/100585 : 1)
** u= -14/41 ; C1 -6305*x^2 - 1877*y^2 + 2633*z^2
(299/9353 : 11064/9353 : 1) C2a (-13518/47179 : -949/47179 : 1)
** u= -14/47 ; C1 -8609*x^2 - 2405*y^2 + 3329*z^2
(-1929/19871 : 23092/19871 : 1) C2a (10726/34641 : 811/34641 : 1)
** u= -14/57 ; C1 -13249*x^2 - 3445*y^2 + 4649*z^2
(30541/51881 : -6716/51881 : 1) C2a (-204284/60581 : 10617/60581 : 1)
** u= -14/69 ; C1 -20137*x^2 - 4957*y^2 + 6497*z^2
(-6490/11567 : -2063/11567 : 1) C2a (-324718/225571 : 17307/225571 : 1)
** u= -14/75 ; C1 -24121*x^2 - 5821*y^2 + 7529*z^2
(2195/23051 : -25832/23051 : 1) C2a (433884/36649 : 21943/36649 : 1)
** u= -14/85 ; C1 -31561*x^2 - 7421*y^2 + 9409*z^2
(4850/53379 : -59267/53379 : 1) C2a (-679246/168295 : 353/1735 : 1)
** u= -14/101 ; C1 -45545*x^2 - 10397*y^2 + 12833*z^2
(16254/62623 : 60689/62623 : 1) C2a (-30312/926081 : 24221/926081 : 1)
** u= -14/103 ; C1 -47473*x^2 - 10805*y^2 + 13297*z^2
(-8386/16357 : 4503/16357 : 1) C2a (-4070084/603403 : 201245/603403 : 1)
** u= -14/111 ; C1 -55585*x^2 - 12517*y^2 + 15233*z^2
(11546/25657 : 14461/25657 : 1) C2a (-121608/325825 : 10537/325825 : 1)
** u= -14/113 ; C1 -57713*x^2 - 12965*y^2 + 15737*z^2
(3177/9149 : 7528/9149 : 1) C2a (-3620816/1456227 : 181487/1456227 : 1)
** u= -14/145 ; C1 -97201*x^2 - 21221*y^2 + 24889*z^2
(2518/25971 : 27605/25971 : 1) C2a (-168172/3095 : 8093/3095 : 1)
** u= -14/151 ; C1 -105745*x^2 - 22997*y^2 + 26833*z^2
(1250/2933 : -1689/2933 : 1) C2a (2119942/900941 : -104849/900941 : 1)
** u= -14/155 ; C1 -111641*x^2 - 24221*y^2 + 28169*z^2
(-487/1015 : -324/1015 : 1) C2a (1155866/1301445 : 66431/1301445 : 1)
** u= -14/183 ; C1 -157393*x^2 - 33685*y^2 + 38417*z^2
(35906/91457 : -59291/91457 : 1) C2a (43152/109799 : -3761/109799 : 1)
** u= -13/9 ; C1 -106*x^2 + 250*y^2 + 146*z^2
(34/29 : -1/29 : 1) C2b (-136/139 : 9/695 : 1)
** u= -13/17 ; C1 -730*x^2 - 458*y^2 + 562*z^2
(-214/441 : -407/441 : 1) C2a (73/131 : -1/131 : 1)
** u= -13/73 ; C1 -23018*x^2 - 5498*y^2 + 7058*z^2
(78/2233 : -2525/2233 : 1) C2a (17021/19563 : 979/19563 : 1)
** u= -13/97 ; C1 -42170*x^2 - 9578*y^2 + 11762*z^2
(4194/14981 : -14077/14981 : 1) C2a (39809/94533 : -3167/94533 : 1)
** u= -13/113 ; C1 -58138*x^2 - 12938*y^2 + 15538*z^2
(1661/7289 : 7170/7289 : 1) C2a (198413/355501 : -13657/355501 : 1)
** u= -12/5 ; C1 -29*x^2 + 169*y^2 + z^2
(0 : 1/13 : 1) C2b (-643/73 : 21/949 : 1)
** u= -12/7 ; C1 -53*x^2 + 193*y^2 + 73*z^2
(53/93 : -50/93 : 1) C2b (-1581/2455 : 79/2455 : 1)
** u= -11/7 ; C1 {+/-} -58*x^2 + 170*y^2 + 82*z^2
(26/27 : -11/27 : 1) C2a (47/29 : 1/29 : 1) C2b (-632/1011 : -31/1011 : 1)
** u= -11/23 ; C1 {+/-} -1754*x^2 + 650*y^2 + 914*z^2
(18/175 : 1027/875 : 1) C2a (-99253/82857 : -5131/82857 : 1) C2b (574/6781 : 77/6781 : 1)
** u= -11/31 ; C1 -3562*x^2 - 1082*y^2 + 1522*z^2
(-19/75 : -82/75 : 1) C2a (-1681/713 : -89/713 : 1)
** u= -11/39 ; C1 -6010*x^2 - 1642*y^2 + 2258*z^2
(314/2099 : 2387/2099 : 1) C2a (-2671223/96575 : -139197/96575 : 1)
** u= -11/63 ; C1 -17194*x^2 - 4090*y^2 + 5234*z^2
(134/1831 : 2053/1831 : 1) C2a (1133759/153449 : -57111/153449 : 1)
** u= -10/7 ; C1 -65*x^2 - 149*y^2 + 89*z^2
(375/331 : -64/331 : 1) C2a (-3934/3231 : -71/3231 : 1)
** u= -10/17 ; C1 -865*x^2 - 389*y^2 + 529*z^2
(575/969 : 736/969 : 1) C2a (-446/115 : 1/5 : 1)
** u= -10/21 ; C1 -1465*x^2 - 541*y^2 + 761*z^2
(-247/1777 : -2068/1777 : 1) C2a (-4086/16331 : 89/16331 : 1)
** u= -10/37 ; C1 -5465*x^2 - 1469*y^2 + 2009*z^2
(11634/19403 : -3367/19403 : 1) C2a (-19366/36489 : -1219/36489 : 1)
** u= -10/41 ; C1 -6865*x^2 - 1781*y^2 + 2401*z^2
(1519/2761 : -1176/2761 : 1) C2a (-682/40523 : 17/827 : 1)
** u= -10/47 ; C1 -9265*x^2 - 2309*y^2 + 3049*z^2
(-155/271 : -24/271 : 1) C2a (739568/513287 : 39467/513287 : 1)
** u= -10/67 ; C1 -19865*x^2 - 4589*y^2 + 5729*z^2
(-2474/4813 : -1557/4813 : 1) C2a (-30838/46077 : -1933/46077 : 1)
** u= -10/87 ; C1 -34465*x^2 - 7669*y^2 + 9209*z^2
(-2378/4661 : 821/4661 : 1) C2a (1068/377 : 53/377 : 1)
** u= -10/89 ; C1 -36145*x^2 - 8021*y^2 + 9601*z^2
(-877/6893 : 7308/6893 : 1) C2a (168188/125843 : -8867/125843 : 1)
** u= -10/91 ; C1 -37865*x^2 - 8381*y^2 + 10001*z^2
(858/1693 : -5221/28781 : 1) C2a (-14072/50667 : 26281/861339 : 1)
** u= -10/123 ; C1 -70825*x^2 - 15229*y^2 + 17489*z^2
(78538/167365 : 11801/33473 : 1) C2a (646176/611099 : -35369/611099 : 1)
** u= -10/131 ; C1 -80665*x^2 - 17261*y^2 + 19681*z^2
(-61738/140997 : 69677/140997 : 1) C2a (-386536/983095 : -33683/983095 : 1)
** u= -10/143 ; C1 -96625*x^2 - 20549*y^2 + 23209*z^2
(-1346/4065 : 637/813 : 1) C2a (4847134/5346659 : -276421/5346659 : 1)
** u= -10/151 ; C1 -108065*x^2 - 22901*y^2 + 25721*z^2
(30311/73499 : -41616/73499 : 1) C2a (1199092/567783 : -3461/33399 : 1)
** u= -10/187 ; C1 -167465*x^2 - 35069*y^2 + 38609*z^2
(45053/189671 : 172956/189671 : 1) C2a (-28374/44219 : -1861/44219 : 1)
** u= -10/189 ; C1 -171145*x^2 - 35821*y^2 + 39401*z^2
(-806/1711 : 341/1711 : 1) C2a (2507886/758291 : -3839/24461 : 1)
** u= -9/5 ; C1 {+/-} -26*x^2 + 106*y^2 + 34*z^2
(30/29 : 7/29 : 1) C2a (-9133/5833 : -81/5833 : 1) C2b (-2682/6163 : -217/6163 : 1)
** u= -9/149 ; C1 -105722*x^2 - 22282*y^2 + 24802*z^2
(4470/15341 : -12929/15341 : 1) C2a (-760841/1132503 : -48751/1132503 : 1)
** u= -8/5 ; C1 -29*x^2 + 89*y^2 + 41*z^2
(72/61 : -5/61 : 1) C2b (827/2917 : -103/2917 : 1)
** u= -8/15 ; C1 -709*x^2 + 289*y^2 + 401*z^2
(-7/29 : 550/493 : 1) C2b (-403/1323 : -89/22491 : 1)
** u= -7/3 ; C1 {+/-} -10*x^2 + 58*y^2 + 2*z^2
(-2/7 : 1/7 : 1) C2a (-839/167 : -3/167 : 1) C2b (644/327 : -11/327 : 1)
** u= -7/11 ; C1 {+/-} -346*x^2 + 170*y^2 + 226*z^2
(-634/791 : 117/791 : 1) C2a (2623/5533 : -59/5533 : 1) C2b (832/2103 : 17/2103 : 1)
** u= -7/27 ; C1 -2938*x^2 - 778*y^2 + 1058*z^2
(23/55 : 46/55 : 1) C2a (9939/48553 : 47/2111 : 1)
** u= -7/75 ; C1 -26074*x^2 - 5674*y^2 + 6626*z^2
(-2911/6023 : -1850/6023 : 1) C2a (2223831/529345 : 107809/529345 : 1)
** u= -7/83 ; C1 -32170*x^2 - 6938*y^2 + 8002*z^2
(2341/5087 : 2106/5087 : 1) C2a (-34129/36893 : -1937/36893 : 1)
** u= -7/99 ; C1 -46282*x^2 - 9850*y^2 + 11138*z^2
(637/1583 : -4814/7915 : 1) C2a (-108453/12451 : 5137/12451 : 1)
** u= -7/131 ; C1 -82186*x^2 - 17210*y^2 + 18946*z^2
(-67538/206667 : 158861/206667 : 1) C2a (-215865239/569481791 : 19633835/569481791 : 1)
** u= -7/195 ; C1 -184714*x^2 - 38074*y^2 + 40706*z^2
(-29914/137107 : -125525/137107 : 1) C2a (10620961/2417371 : -493407/2417371 : 1)
** u= -6/17 ; C1 -1073*x^2 - 325*y^2 + 457*z^2
(-5/9 : 28/45 : 1) C2a (392/311 : -21/311 : 1)
** u= -6/29 ; C1 -3545*x^2 - 877*y^2 + 1153*z^2
(129/2317 : -2644/2317 : 1) C2a (13954/455 : 711/455 : 1)
** u= -6/35 ; C1 -5321*x^2 - 1261*y^2 + 1609*z^2
(810/3013 : 2969/3013 : 1) C2a (10252/59547 : -1549/59547 : 1)
** u= -6/55 ; C1 -13841*x^2 - 3061*y^2 + 3649*z^2
(821/3387 : 3260/3387 : 1) C2a (-3818/4125 : -217/4125 : 1)
** u= -6/179 ; C1 -155945*x^2 - 32077*y^2 + 34153*z^2
(987/17683 : 18116/17683 : 1) C2a (2717558/1139635 : 18471/162805 : 1)
** u= -6/191 ; C1 -177857*x^2 - 36517*y^2 + 38737*z^2
(3454/11001 : 444295/583053 : 1) C2a (197176/60197 : -487977/3190441 : 1)
** u= -6/199 ; C1 -193265*x^2 - 39637*y^2 + 41953*z^2
(-8730/18821 : -1823/18821 : 1) C2a (-432008/632095 : 27567/632095 : 1)
** u= -5/9 ; C1 {+/-} -250*x^2 + 106*y^2 + 146*z^2
(-1/29 : 34/29 : 1) C2a (2677/7697 : -27/7697 : 1) C2b (-4/169 : 3/169 : 1)
** u= -4/5 ; C1 -61*x^2 + 41*y^2 + 49*z^2
(-175/199 : 42/199 : 1) C2b (2769/7679 : -23/1097 : 1)
** u= -3/7 ; C1 {+/-} -170*x^2 + 58*y^2 + 82*z^2
(2/3 : 1/3 : 1) C2a (-1607/4361 : -81/4361 : 1) C2b (-34/1573 : 9/1573 : 1)
** u= -3/47 ; C1 -10490*x^2 - 2218*y^2 + 2482*z^2
(-627/2687 : -2494/2687 : 1) C2a (-14281/9193 : 723/9193 : 1)
** u= -3/95 ; C1 -43994*x^2 - 9034*y^2 + 9586*z^2
(685/6231 : 6238/6231 : 1) C2a (9221/4431 : 443/4431 : 1)
** u= -3/119 ; C1 -69386*x^2 - 14170*y^2 + 14866*z^2
(11457/25127 : 4430/25127 : 1) C2a (18485503/1427863 : 842439/1427863 : 1)
** u= -2 ; C1 -x^2 - 5*y^2 + z^2
(1 : 0 : 1) C2a (-632/163 : -11/163 : 1)
** u= -2/5 ; C1 -89*x^2 - 29*y^2 + 41*z^2
(-11/53 : -60/53 : 1) C2a (-246/49 : 13/49 : 1)
** u= -2/7 ; C1 -193*x^2 - 53*y^2 + 73*z^2
(-31/99 : 100/99 : 1) C2a (-2072/1859 : -113/1859 : 1)
** u= -2/9 ; C1 -337*x^2 - 85*y^2 + 113*z^2
(-43/109 : -92/109 : 1) C2a (-318/869 : -25/869 : 1)
** u= -2/15 ; C1 -1009*x^2 - 229*y^2 + 281*z^2
(-214/445 : -203/445 : 1) C2a (854892/532013 : 44351/532013 : 1)
** u= -2/27 ; C1 -3433*x^2 - 733*y^2 + 833*z^2
(-889/2995 : -2548/2995 : 1) C2a (1026/217 : -7/31 : 1)
** u= -2/37 ; C1 -6553*x^2 - 1373*y^2 + 1513*z^2
(-2015/4281 : 904/4281 : 1) C2a (23218/137639 : 4213/137639 : 1)
** u= -2/51 ; C1 -12601*x^2 - 2605*y^2 + 2801*z^2
(6218/16813 : 10813/16813 : 1) C2a (-2002526/2397679 : 117159/2397679 : 1)
** u= -2/85 ; C1 -35449*x^2 - 7229*y^2 + 7561*z^2
(-8054/17815 : 3723/17815 : 1) C2a (467014/403205 : -24559/403205 : 1)
** u= -2/89 ; C1 -38897*x^2 - 7925*y^2 + 8273*z^2
(90/343 : 1441/1715 : 1) C2a (-108050/225309 : 42389/1126545 : 1)
** u= -2/99 ; C1 -48217*x^2 - 9805*y^2 + 10193*z^2
(4691/24127 : 22292/24127 : 1) C2a (-125408/261739 : -9855/261739 : 1)
** u= -2/121 ; C1 -72241*x^2 - 14645*y^2 + 15121*z^2
(-182/523 : 345/523 : 1) C2a (1167638/351833 : 53827/351833 : 1)
** u= -2/135 ; C1 -90049*x^2 - 18229*y^2 + 18761*z^2
(-18478/46745 : -23711/46745 : 1) C2a (-70122/45557 : 3461/45557 : 1)
** u= -2/197 ; C1 -192473*x^2 - 38813*y^2 + 39593*z^2
(123182/375635 : 262089/375635 : 1) C2a (87252/492031 : -929/28943 : 1)
** u= -1/85 ; C1 -35786*x^2 - 7226*y^2 + 7394*z^2
(-510/3109 : 2933/3109 : 1) C2a (-209047/206187 : -11369/206187 : 1)
** u= -1/197 ; C1 -193258*x^2 - 38810*y^2 + 39202*z^2
(141722/367369 : -190545/367369 : 1) C2a (26452859/18779723 : -1319129/18779723 : 1)
** u= 1/3 ; C1 -58*x^2 - 10*y^2 + 2*z^2
(1/7 : -2/7 : 1) C2a (433/71 : -9/71 : 1)
** u= 1/27 ; C1 -3754*x^2 - 730*y^2 + 674*z^2
(-419/1151 : 566/1151 : 1) C2a (597/21727 : 707/21727 : 1)
** u= 1/59 ; C1 -17642*x^2 - 3482*y^2 + 3362*z^2
(1066/4375 : -3567/4375 : 1) C2a (-38833/15129 : -43/369 : 1)
** u= 1/115 ; C1 -66586*x^2 - 13226*y^2 + 12994*z^2
(-1613/5331 : 3850/5331 : 1) C2a (106919/116471 : -5983/116471 : 1)
** u= 1/147 ; C1 -108634*x^2 - 21610*y^2 + 21314*z^2
(1867/6187 : -4498/6187 : 1) C2a (-239777/1403 : 10581/1403 : 1)
** u= 1/187 ; C1 -175594*x^2 - 34970*y^2 + 34594*z^2
(6377/14627 : 2730/14627 : 1) C2a (7669/9611 : -65/1373 : 1)
** u= 2/5 ; C1 -169*x^2 - 29*y^2 + z^2
(1/13 : 0 : 1) C2a (-62/23 : 1/23 : 1)
** u= 2/7 ; C1 -305*x^2 - 53*y^2 + 17*z^2
(3/19 : -8/19 : 1) C2a (-232/315 : -13/315 : 1)
** u= 2/9 ; C1 -481*x^2 - 85*y^2 + 41*z^2
(-1/29 : 20/29 : 1) C2a (-43306/3059 : 1341/3059 : 1)
** u= 2/27 ; C1 -3865*x^2 - 733*y^2 + 617*z^2
(-218/1673 : -1451/1673 : 1) C2a (-6088/601 : 249/601 : 1)
** u= 2/37 ; C1 -7145*x^2 - 1373*y^2 + 1217*z^2
(446/5059 : -4653/5059 : 1) C2a (136734/245473 : -9913/245473 : 1)
** u= 2/41 ; C1 -8737*x^2 - 1685*y^2 + 1513*z^2
(-1919/5237 : 2352/5237 : 1) C2a (926/2837 : -101/2837 : 1)
** u= 2/51 ; C1 -13417*x^2 - 2605*y^2 + 2393*z^2
(317/3859 : 3628/3859 : 1) C2a (1344732/386039 : -58633/386039 : 1)
** u= 2/55 ; C1 -15569*x^2 - 3029*y^2 + 2801*z^2
(-254/725 : -393/725 : 1) C2a (-74904/11155 : -3221/11155 : 1)
** u= 2/89 ; C1 -40321*x^2 - 7925*y^2 + 7561*z^2
(-358/911 : -1869/4555 : 1) C2a (-1274/47923 : -7697/239615 : 1)
** u= 2/121 ; C1 -74177*x^2 - 14645*y^2 + 14153*z^2
(-1198/6439 : -5727/6439 : 1) C2a (18060874/6581583 : 816415/6581583 : 1)
** u= 2/135 ; C1 -92209*x^2 - 18229*y^2 + 17681*z^2
(-600374/1388765 : 217727/1388765 : 1) C2a (120048/311003 : -11219/311003 : 1)
** u= 3/17 ; C1 -1658*x^2 - 298*y^2 + 178*z^2
(18/233 : 175/233 : 1) C2a (1/253 : 9/253 : 1)
** u= 3/25 ; C1 -3434*x^2 - 634*y^2 + 466*z^2
(90/977 : -811/977 : 1) C2a (3559/10989 : -403/10989 : 1)
** u= 3/49 ; C1 -12602*x^2 - 2410*y^2 + 2098*z^2
(202/1089 : -905/1089 : 1) C2a (18001/24813 : -1111/24813 : 1)
** u= 3/65 ; C1 -21914*x^2 - 4234*y^2 + 3826*z^2
(-975/2557 : -994/2557 : 1) C2a (-319697/41865 : -13573/41865 : 1)
** u= 3/121 ; C1 -74666*x^2 - 14650*y^2 + 13906*z^2
(717/2125 : 6454/10625 : 1) C2a (1605481/2968575 : -590557/14842875 : 1)
** u= 3/169 ; C1 -144842*x^2 - 28570*y^2 + 27538*z^2
(-3717/20029 : 17794/20029 : 1) C2a (91421/265867 : -1341/37981 : 1)
** u= 3/193 ; C1 -188570*x^2 - 37258*y^2 + 36082*z^2
(19219/59817 : 39946/59817 : 1) C2a (-4635329/678995 : 203841/678995 : 1)
** u= 5/23 ; C1 -3130*x^2 - 554*y^2 + 274*z^2
(-434/1507 : -243/1507 : 1) C2a (-203/8653 : 313/8653 : 1)
** u= 5/103 ; C1 -55130*x^2 - 10634*y^2 + 9554*z^2
(6225/20987 : -13958/20987 : 1) C2a (15011/45789 : 1631/45789 : 1)
** u= 5/127 ; C1 -83210*x^2 - 16154*y^2 + 14834*z^2
(517/1307 : -438/1307 : 1) C2a (80139/228529 : -8191/228529 : 1)
** u= 5/143 ; C1 -105130*x^2 - 20474*y^2 + 18994*z^2
(6530/25571 : -19689/25571 : 1) C2a (-2048081/1098905 : -94633/1098905 : 1)
** u= 5/183 ; C1 -171130*x^2 - 33514*y^2 + 31634*z^2
(-9379/25223 : -12302/25223 : 1) C2a (2548933/39983 : -110043/39983 : 1)
** u= 6/17 ; C1 -1889*x^2 - 325*y^2 + 49*z^2
(42/311 : -329/1555 : 1) C2a (196/113 : -27/565 : 1)
** u= 6/25 ; C1 -3761*x^2 - 661*y^2 + 289*z^2
(-17/825 : -544/825 : 1) C2a (-806/4315 : -159/4315 : 1)
** u= 6/29 ; C1 -4937*x^2 - 877*y^2 + 457*z^2
(422/2787 : -1745/2787 : 1) C2a (45908/6135 : 1489/6135 : 1)
** u= 6/35 ; C1 -7001*x^2 - 1261*y^2 + 769*z^2
(509/8943 : 6880/8943 : 1) C2a (955556/107859 : 33377/107859 : 1)
** u= 6/55 ; C1 -16481*x^2 - 3061*y^2 + 2329*z^2
(1049/2955 : -848/2955 : 1) C2a (-9188/354525 : -12167/354525 : 1)
** u= 6/109 ; C1 -62057*x^2 - 11917*y^2 + 10537*z^2
(27474/66731 : 2585/66731 : 1) C2a (-10522/12855 : -611/12855 : 1)
** u= 6/179 ; C1 -164537*x^2 - 32077*y^2 + 29857*z^2
(3518/15897 : -13105/15897 : 1) C2a (-18118156/1273197 : -777791/1273197 : 1)
** u= 6/191 ; C1 -187025*x^2 - 36517*y^2 + 34153*z^2
(259/2151 : 105784/114003 : 1) C2a (6556/14133 : -4067/107007 : 1)
** u= 6/193 ; C1 -190913*x^2 - 37285*y^2 + 34897*z^2
(7373/49581 : -44972/49581 : 1) C2a (2923293466/4506150977 : 192464451/4506150977 : 1)
** u= 7/37 ; C1 -7930*x^2 - 1418*y^2 + 802*z^2
(595/2413 : -1146/2413 : 1) C2a (1187/4535 : -167/4535 : 1)
** u= 7/93 ; C1 -45898*x^2 - 8698*y^2 + 7298*z^2
(-530/5293 : -4693/5293 : 1) C2a (-182039/605903 : 21621/605903 : 1)
** u= 7/101 ; C1 -53882*x^2 - 10250*y^2 + 8738*z^2
(126/317 : -47/317 : 1) C2a (-124157/80721 : 28811/403605 : 1)
** u= 7/141 ; C1 -103402*x^2 - 19930*y^2 + 17858*z^2
(-1111/2933 : 1142/2933 : 1) C2a (-32017/330931 : -10959/330931 : 1)
** u= 9/115 ; C1 -70346*x^2 - 13306*y^2 + 11074*z^2
(-609/4955 : -4298/4955 : 1) C2a (-127957/665525 : -3279/95075 : 1)
** u= 10/37 ; C1 -8425*x^2 - 1469*y^2 + 529*z^2
(437/1905 : -92/381 : 1) C2a (10612/363607 : -581/15809 : 1)
** u= 10/41 ; C1 -10145*x^2 - 1781*y^2 + 761*z^2
(-1075/22033 : -14172/22033 : 1) C2a (83986/47349 : 2989/47349 : 1)
** u= 10/51 ; C1 -15145*x^2 - 2701*y^2 + 1481*z^2
(-19/163 : 112/163 : 1) C2a (142148/124907 : -6477/124907 : 1)
** u= 10/67 ; C1 -25225*x^2 - 4589*y^2 + 3049*z^2
(343/2175 : 316/435 : 1) C2a (109126/21071 : 4021/21071 : 1)
** u= 10/87 ; C1 -41425*x^2 - 7669*y^2 + 5729*z^2
(1423/4055 : 232/811 : 1) C2a (-229302/163895 : -10459/163895 : 1)
** u= 10/91 ; C1 -45145*x^2 - 8381*y^2 + 6361*z^2
(-34/409 : -5907/6953 : 1) C2a (102704/2021 : -67597/34357 : 1)
** u= 10/107 ; C1 -61625*x^2 - 11549*y^2 + 9209*z^2
(-3921/11471 : -4784/11471 : 1) C2a (175806/59369 : 7261/59369 : 1)
** u= 10/109 ; C1 -63865*x^2 - 11981*y^2 + 9601*z^2
(-247/1149 : -856/1149 : 1) C2a (1523926/4730491 : 171509/4730491 : 1)
** u= 10/123 ; C1 -80665*x^2 - 15229*y^2 + 12569*z^2
(5066/21317 : 15463/21317 : 1) C2a (-7506/12221 : -511/12221 : 1)
** u= 10/137 ; C1 -99425*x^2 - 18869*y^2 + 15929*z^2
(217/869 : 624/869 : 1) C2a (966504/119191 : 39659/119191 : 1)
** u= 10/143 ; C1 -108065*x^2 - 20549*y^2 + 17489*z^2
(-3258/10453 : -6097/10453 : 1) C2a (28339582/1070085 : -1162241/1070085 : 1)
** u= 10/149 ; C1 -117065*x^2 - 22301*y^2 + 19121*z^2
(-39301/142817 : 96852/142817 : 1) C2a (-260226/93745 : -11153/93745 : 1)
** u= 10/151 ; C1 -120145*x^2 - 22901*y^2 + 19681*z^2
(-842/15609 : 14341/15609 : 1) C2a (460972/375175 : 22729/375175 : 1)
** u= 10/163 ; C1 -139465*x^2 - 26669*y^2 + 23209*z^2
(-39950/135497 : -87357/135497 : 1) C2a (1353034/38279 : 56099/38279 : 1)
** u= 10/177 ; C1 -163825*x^2 - 31429*y^2 + 27689*z^2
(-4987/35665 : 6296/7133 : 1) C2a (12158484/185771 : 507119/185771 : 1)
** u= 10/189 ; C1 -186265*x^2 - 35821*y^2 + 31841*z^2
(86263/209189 : 14284/209189 : 1) C2a (-6370934/1964149 : 274629/1964149 : 1)
** u= 11/81 ; C1 -36490*x^2 - 6682*y^2 + 4658*z^2
(1/17 : -14/17 : 1) C2a (170063/11129 : -6321/11129 : 1)
** u= 11/129 ; C1 -89002*x^2 - 16762*y^2 + 13682*z^2
(142/677 : -8785/11509 : 1) C2a (38969/30193 : 31743/513281 : 1)
** u= 13/79 ; C1 -35482*x^2 - 6410*y^2 + 4018*z^2
(-2842/17079 : -11753/17079 : 1) C2a (-3737/32039 : 163/4577 : 1)
** u= 13/167 ; C1 -148298*x^2 - 28058*y^2 + 23378*z^2
(4370/11839 : -3981/11839 : 1) C2a (-1918983/666725 : -80989/666725 : 1)
** u= 14/37 ; C1 -9113*x^2 - 1565*y^2 + 137*z^2
(262/2219 : 177/2219 : 1) C2a (-268746/30587 : -3713/30587 : 1)
** u= 14/39 ; C1 -9985*x^2 - 1717*y^2 + 233*z^2
(-58/421 : 67/421 : 1) C2a (-35892/8009 : -659/8009 : 1)
** u= 14/41 ; C1 -10897*x^2 - 1877*y^2 + 337*z^2
(250/9171 : 3839/9171 : 1) C2a (237887546/9219475 : -4491953/9219475 : 1)
** u= 14/47 ; C1 -13873*x^2 - 2405*y^2 + 697*z^2
(-613/2991 : 652/2991 : 1) C2a (-11038/6091 : -347/6091 : 1)
** u= 14/69 ; C1 -27865*x^2 - 4957*y^2 + 2633*z^2
(-38/1267 : -919/1267 : 1) C2a (-14094/15445 : -719/15445 : 1)
** u= 14/75 ; C1 -32521*x^2 - 5821*y^2 + 3329*z^2
(-9970/46369 : -25967/46369 : 1) C2a (-83572/132313 : 5499/132313 : 1)
** u= 14/85 ; C1 -41081*x^2 - 7421*y^2 + 4649*z^2
(5331/21205 : -11152/21205 : 1) C2a (-95900796/13994425 : 3408871/13994425 : 1)
** u= 14/97 ; C1 -52673*x^2 - 9605*y^2 + 6497*z^2
(63867/183029 : 17056/183029 : 1) C2a (-26536/27273 : 1361/27273 : 1)
** u= 14/101 ; C1 -56857*x^2 - 10397*y^2 + 7177*z^2
(-4771/13445 : 552/13445 : 1) C2a (1550698/1083001 : 68603/1083001 : 1)
** u= 14/103 ; C1 -59009*x^2 - 10805*y^2 + 7529*z^2
(-5103/26987 : 19112/26987 : 1) C2a (-6725322/36437 : -249451/36437 : 1)
** u= 14/113 ; C1 -70369*x^2 - 12965*y^2 + 9409*z^2
(-9506/36499 : 21825/36499 : 1) C2a (583862/220093 : 241/2269 : 1)
** u= 14/131 ; C1 -93337*x^2 - 17357*y^2 + 13297*z^2
(11585/30963 : 3568/30963 : 1) C2a (3352466/701495 : 132577/701495 : 1)
** u= 14/145 ; C1 -113441*x^2 - 21221*y^2 + 16769*z^2
(-15858/45635 : -17359/45635 : 1) C2a (8121966/2397905 : -331019/2397905 : 1)
** u= 14/155 ; C1 -129001*x^2 - 24221*y^2 + 19489*z^2
(8870/35277 : 24131/35277 : 1) C2a (-748774/122405 : 30131/122405 : 1)
** u= 14/173 ; C1 -159529*x^2 - 30125*y^2 + 24889*z^2
(3491/9981 : 21076/49905 : 1) C2a (-38308/17623 : 1657/17623 : 1)
** u= 14/183 ; C1 -177889*x^2 - 33685*y^2 + 28169*z^2
(-20566/88589 : -65797/88589 : 1) C2a (-203074/10499 : -8259/10499 : 1)
** u= 15/37 ; C1 -9290*x^2 - 1594*y^2 + 34*z^2
(206/4533 : -437/4533 : 1) C2a (-511/165 : -7/165 : 1)
** u= 15/61 ; C1 -22490*x^2 - 3946*y^2 + 1666*z^2
(7/153 : -98/153 : 1) C2a (2339/30051 : 157/4293 : 1)
** u= 17/67 ; C1 -27290*x^2 - 4778*y^2 + 1922*z^2
(186/2123 : -1271/2123 : 1) C2a (-56869/27435 : -61/885 : 1)
** u= 17/115 ; C1 -74234*x^2 - 13514*y^2 + 9026*z^2
(-190/643 : 279/643 : 1) C2a (45829631/5041611 : -1673597/5041611 : 1)
** u= 17/123 ; C1 -84298*x^2 - 15418*y^2 + 10658*z^2
(-2555/10943 : -6862/10943 : 1) C2a (103199/232943 : -123/3191 : 1)
** u= 18/49 ; C1 -15857*x^2 - 2725*y^2 + 313*z^2
(-537/3853 : 824/19265 : 1) C2a (15218/4433 : 1413/22165 : 1)
** u= 18/67 ; C1 -27593*x^2 - 4813*y^2 + 1753*z^2
(1479/11215 : -5768/11215 : 1) C2a (334046/4053 : 8959/4053 : 1)
** u= 18/83 ; C1 -40745*x^2 - 7213*y^2 + 3577*z^2
(-1050/13409 : 9107/13409 : 1) C2a (505322/5495 : -2259/785 : 1)
** u= 18/101 ; C1 -58601*x^2 - 10525*y^2 + 6241*z^2
(-2607/20045 : 70784/100225 : 1) C2a (-180460/118263 : 473/7485 : 1)
** u= 18/103 ; C1 -60785*x^2 - 10933*y^2 + 6577*z^2
(2586/8441 : -69127/244789 : 1) C2a (27338/9169 : -28911/265901 : 1)
** u= 18/115 ; C1 -74729*x^2 - 13549*y^2 + 8761*z^2
(12310/36033 : 1939/36033 : 1) C2a (14090026/1149171 : -505063/1149171 : 1)
** u= 18/119 ; C1 -79697*x^2 - 14485*y^2 + 9553*z^2
(3111/34207 : -26804/34207 : 1) C2a (1463782/852879 : -60731/852879 : 1)
** u= 18/145 ; C1 -115889*x^2 - 21349*y^2 + 15481*z^2
(-1307/3825 : -68/225 : 1) C2a (-7324856/6945285 : 366919/6945285 : 1)
** u= 19/49 ; C1 -16090*x^2 - 2762*y^2 + 178*z^2
(-85/4881 : -1222/4881 : 1) C2a (-325031/21967 : 3757/21967 : 1)
** u= 19/65 ; C1 -26426*x^2 - 4586*y^2 + 1394*z^2
(-162/3349 : 1805/3349 : 1) C2a (30998403/22964477 : 1138289/22964477 : 1)
** u= 21/151 ; C1 -127130*x^2 - 23242*y^2 + 16018*z^2
(2034/15631 : 12073/15631 : 1) C2a (3189269/541085 : -119151/541085 : 1)
** u= 22/83 ; C1 -42233*x^2 - 7373*y^2 + 2753*z^2
(-10053/43543 : 11360/43543 : 1) C2a (56378/17289 : -1657/17289 : 1)
** u= 22/95 ; C1 -53969*x^2 - 9509*y^2 + 4361*z^2
(5810/25673 : -10521/25673 : 1) C2a (10566/4705 : -361/4705 : 1)
** u= 22/111 ; C1 -71857*x^2 - 12805*y^2 + 6953*z^2
(21602/71021 : -10963/71021 : 1) C2a (449386/995227 : 38643/995227 : 1)
** u= 22/115 ; C1 -76729*x^2 - 13709*y^2 + 7681*z^2
(-130342/760365 : 1727/2745 : 1) C2a (-765418/528113 : 31711/528113 : 1)
** u= 22/139 ; C1 -109321*x^2 - 19805*y^2 + 12721*z^2
(13978/56333 : -30981/56333 : 1) C2a (375284/10139 : -13369/10139 : 1)
** u= 22/161 ; C1 -144257*x^2 - 26405*y^2 + 18353*z^2
(-1002/3271 : -1397/3271 : 1) C2a (-4615442/585231 : -172189/585231 : 1)
** u= 22/195 ; C1 -207769*x^2 - 38509*y^2 + 28961*z^2
(-298910/1249693 : -832139/1249693 : 1) C2a (10303748/922057 : 398301/922057 : 1)
** u= 23/93 ; C1 -52330*x^2 - 9178*y^2 + 3842*z^2
(-1249/5597 : 2054/5597 : 1) C2a (-99527/231679 : 8931/231679 : 1)
** u= 25/67 ; C1 -29770*x^2 - 5114*y^2 + 514*z^2
(5938/45467 : 1587/45467 : 1) C2a (-57157/33565 : 1489/33565 : 1)
** u= 26/63 ; C1 -27073*x^2 - 4645*y^2 + 17*z^2
(386/23417 : 1067/23417 : 1) C2a (1649606/23587 : 4521/23587 : 1)
** u= 26/75 ; C1 -36601*x^2 - 6301*y^2 + 1049*z^2
(-1346/8353 : 1045/8353 : 1) C2a (119214/6041 : -2173/6041 : 1)
** u= 26/89 ; C1 -49537*x^2 - 8597*y^2 + 2617*z^2
(-1546/37255 : 20217/37255 : 1) C2a (-829756/234577 : 22109/234577 : 1)
** u= 26/107 ; C1 -69049*x^2 - 12125*y^2 + 5209*z^2
(-38/193 : -441/965 : 1) C2a (-80414/5261 : -11749/26305 : 1)
** u= 26/127 ; C1 -94529*x^2 - 16805*y^2 + 8849*z^2
(-7851/42539 : 24620/42539 : 1) C2a (6852182/102387 : -220967/102387 : 1)
** u= 26/139 ; C1 -111737*x^2 - 19997*y^2 + 11417*z^2
(9695/50927 : -30912/50927 : 1) C2a (-682644/864857 : -5497/123551 : 1)
** u= 26/183 ; C1 -187153*x^2 - 34165*y^2 + 23297*z^2
(109342/353129 : 139787/353129 : 1) C2a (11262/5581 : -457/5581 : 1)
** u= 27/97 ; C1 -58250*x^2 - 10138*y^2 + 3442*z^2
(774/3605 : -197/721 : 1) C2a (-7405207/110145 : 191767/110145 : 1)
** u= 29/119 ; C1 -85450*x^2 - 15002*y^2 + 6418*z^2
(-509/2475 : -214/495 : 1) C2a (-55697/1397585 : 51007/1397585 : 1)
** u= 29/143 ; C1 -119674*x^2 - 21290*y^2 + 11314*z^2
(194/6799 : -4935/6799 : 1) C2a (-70187/74093 : 3503/74093 : 1)
** u= 30/91 ; C1 -53225*x^2 - 9181*y^2 + 1921*z^2
(-39/2675 : -244/535 : 1) C2a (33292/5875 : -711/5875 : 1)
** u= 30/97 ; C1 -59585*x^2 - 10309*y^2 + 2689*z^2
(-18/211 : 1283/2743 : 1) C2a (1166/145 : 27/145 : 1)
** u= 30/103 ; C1 -66305*x^2 - 11509*y^2 + 3529*z^2
(-1743/8371 : 1996/8371 : 1) C2a (-74906/14285 : 1917/14285 : 1)
** u= 30/163 ; C1 -153305*x^2 - 27469*y^2 + 15889*z^2
(810/33173 : -25157/33173 : 1) C2a (241714/217665 : 11273/217665 : 1)
** u= 30/187 ; C1 -198185*x^2 - 35869*y^2 + 22849*z^2
(-22245/188471 : -141044/188471 : 1) C2a (4734286/1212555 : -173267/1212555 : 1)
** u= 31/109 ; C1 -73882*x^2 - 12842*y^2 + 4162*z^2
(-86/405 : -103/405 : 1) C2a (807221/1205663 : -48911/1205663 : 1)
** u= 31/149 ; C1 -130442*x^2 - 23162*y^2 + 12002*z^2
(-2025/8053 : 3242/8053 : 1) C2a (-6779857/8578779 : -377657/8578779 : 1)
** u= 31/189 ; C1 -203002*x^2 - 36682*y^2 + 23042*z^2
(4825/22817 : -14078/22817 : 1) C2a (-4069389/1502143 : 152839/1502143 : 1)
** u= 34/83 ; C1 -46889*x^2 - 8045*y^2 + 89*z^2
(-431/14759 : 1152/14759 : 1) C2a (15144/151 : 71/151 : 1)
** u= 34/105 ; C1 -70561*x^2 - 12181*y^2 + 2729*z^2
(-12730/74723 : 17669/74723 : 1) C2a (-777664/60505 : -16509/60505 : 1)
** u= 34/111 ; C1 -77857*x^2 - 13477*y^2 + 3617*z^2
(-10541/91475 : 40048/91475 : 1) C2a (-145654/45907 : -3759/45907 : 1)
** u= 34/147 ; C1 -129193*x^2 - 22765*y^2 + 10457*z^2
(-1213/6899 : 3676/6899 : 1) C2a (395322/383749 : -18335/383749 : 1)
** u= 34/155 ; C1 -142361*x^2 - 25181*y^2 + 12329*z^2
(-21/587 : -5300/7631 : 1) C2a (-1855426/1836945 : -88019/1836945 : 1)
** u= 34/179 ; C1 -185705*x^2 - 33197*y^2 + 18713*z^2
(14977/154519 : 110472/154519 : 1) C2a (845664/17845 : 28219/17845 : 1)
** u= 34/183 ; C1 -193489*x^2 - 34645*y^2 + 19889*z^2
(-1306/9109 : -80251/118417 : 1) C2a (-34586/19619 : 1359/19619 : 1)
** u= 34/189 ; C1 -205465*x^2 - 36877*y^2 + 21713*z^2
(3158/20311 : -13687/20311 : 1) C2a (-43402776/384923 : 1479887/384923 : 1)
** u= 37/191 ; C1 -212042*x^2 - 37850*y^2 + 20978*z^2
(-531/3539 : -11578/17695 : 1) C2a (824577/121253 : 138103/606265 : 1)
** u= 38/99 ; C1 -65497*x^2 - 11245*y^2 + 833*z^2
(-1778/33721 : 8113/33721 : 1) C2a (-10672/5131 : 33/733 : 1)
** u= 38/107 ; C1 -74953*x^2 - 12893*y^2 + 1873*z^2
(937/72603 : 27580/72603 : 1) C2a (6559634/357793 : 111889/357793 : 1)
** u= 38/121 ; C1 -93041*x^2 - 16085*y^2 + 4001*z^2
(6042/347107 : 172505/347107 : 1) C2a (-34648866/12191399 : 890981/12191399 : 1)
** u= 38/147 ; C1 -131833*x^2 - 23053*y^2 + 8993*z^2
(-6026/24565 : 5267/24565 : 1) C2a (21754/13867 : 789/13867 : 1)
** u= 38/161 ; C1 -155521*x^2 - 27365*y^2 + 12241*z^2
(-878/4027 : -1695/4027 : 1) C2a (-436/29 : 13/29 : 1)
** u= 38/165 ; C1 -162649*x^2 - 28669*y^2 + 13241*z^2
(-7913/34745 : 14224/34745 : 1) C2a (-469866/260621 : -17057/260621 : 1)
** u= 38/173 ; C1 -177385*x^2 - 31373*y^2 + 15337*z^2
(-5866/31999 : 17493/31999 : 1) C2a (-740534/1019263 : -6211/145609 : 1)
** u= 38/175 ; C1 -181169*x^2 - 32069*y^2 + 15881*z^2
(5339/28855 : 15852/28855 : 1) C2a (1335738/251215 : 42743/251215 : 1)
** u= 38/177 ; C1 -184993*x^2 - 32773*y^2 + 16433*z^2
(86942/305287 : 63755/305287 : 1) C2a (-248644628/12361679 : -7836033/12361679 : 1)
** u= 39/173 ; C1 -178154*x^2 - 31450*y^2 + 14914*z^2
(11309/39129 : 1258/39129 : 1) C2a (21857/4333 : 687/4333 : 1)
** u= 42/109 ; C1 -79481*x^2 - 13645*y^2 + 961*z^2
(3658/53163 : -11005/53163 : 1) C2a (-861256/161479 : 381/5209 : 1)
** u= 42/115 ; C1 -87209*x^2 - 14989*y^2 + 1801*z^2
(-803/12459 : -3860/12459 : 1) C2a (-734414/78789 : -11687/78789 : 1)
** u= 42/121 ; C1 -95297*x^2 - 16405*y^2 + 2713*z^2
(21/1873 : -760/1873 : 1) C2a (38/241 : 9/241 : 1)
** u= 42/127 ; C1 -103745*x^2 - 17893*y^2 + 3697*z^2
(38446/249921 : 65843/249921 : 1) C2a (10405018/274629 : 210401/274629 : 1)
** u= 42/151 ; C1 -141137*x^2 - 24565*y^2 + 8353*z^2
(-2241/11263 : -64244/191471 : 1) C2a (192104/59427 : -5437/59427 : 1)
** u= 42/157 ; C1 -151385*x^2 - 26413*y^2 + 9697*z^2
(-21862/87531 : 8573/87531 : 1) C2a (-726608/652521 : 30931/652521 : 1)
** u= 42/167 ; C1 -169265*x^2 - 29653*y^2 + 12097*z^2
(10945/45663 : -12916/45663 : 1) C2a (139252/55889 : 4449/55889 : 1)
** u= 42/169 ; C1 -172961*x^2 - 30325*y^2 + 12601*z^2
(9434/35127 : 11299/175635 : 1) C2a (-250114/178447 : 48429/892235 : 1)
** u= 42/193 ; C1 -220433*x^2 - 39013*y^2 + 19273*z^2
(-6702/57535 : 37169/57535 : 1) C2a (-89294/135257 : 5631/135257 : 1)
** u= 42/199 ; C1 -233201*x^2 - 41365*y^2 + 21121*z^2
(31102/159597 : -86903/159597 : 1) C2a (-7769246/1977629 : -256791/1977629 : 1)
** u= 43/169 ; C1 -173722*x^2 - 30410*y^2 + 12178*z^2
(466/17517 : -11029/17517 : 1) C2a (-87677/59249 : -3283/59249 : 1)
** u= 46/125 ; C1 -103241*x^2 - 17741*y^2 + 2009*z^2
(-987/15965 : 4816/15965 : 1) C2a (-18980382/4359173 : -46727/622739 : 1)
** u= 46/129 ; C1 -109057*x^2 - 18757*y^2 + 2657*z^2
(6934/74491 : -22505/74491 : 1) C2a (-1849454/13105 : 30933/13105 : 1)
** u= 46/179 ; C1 -195257*x^2 - 34157*y^2 + 13457*z^2
(394410/2144653 : -960653/2144653 : 1) C2a (-74754/326033 : -12119/326033 : 1)
** u= 47/125 ; C1 -103834*x^2 - 17834*y^2 + 1666*z^2
(-10241/87265 : 10038/87265 : 1) C2a (17641/55925 : -2101/55925 : 1)
** u= 47/173 ; C1 -184378*x^2 - 32138*y^2 + 11458*z^2
(1718/26145 : -15059/26145 : 1) C2a (-176227/18179 : 4723/18179 : 1)
** u= 49/131 ; C1 -113882*x^2 - 19562*y^2 + 1922*z^2
(-1550/14371 : 2511/14371 : 1) C2a (42289/93 : 19/3 : 1)
** u= 50/143 ; C1 -133345*x^2 - 22949*y^2 + 3649*z^2
(25286/461361 : -173579/461361 : 1) C2a (7818746/2519185 : 167317/2519185 : 1)
** u= 50/187 ; C1 -214745*x^2 - 37469*y^2 + 13769*z^2
(-1890/65129 : -39221/65129 : 1) C2a (9014484/5112149 : -43843/730307 : 1)
** u= 51/169 ; C1 -179882*x^2 - 31162*y^2 + 8722*z^2
(-1127/62793 : 33110/62793 : 1) C2a (-11273/9051 : 61/1293 : 1)
** u= 53/151 ; C1 -148826*x^2 - 25610*y^2 + 3986*z^2
(2031/15371 : -3578/15371 : 1) C2a (-477/98603 : 3673/98603 : 1)
** u= 54/133 ; C1 -120089*x^2 - 20605*y^2 + 409*z^2
(12438/789563 : 107111/789563 : 1) C2a (51734/2681 : 339/2681 : 1)
** u= 54/155 ; C1 -156521*x^2 - 26941*y^2 + 4369*z^2
(5875/110271 : 42088/110271 : 1) C2a (-1475498/253673 : -28041/253673 : 1)
** u= 54/169 ; C1 -182225*x^2 - 31477*y^2 + 7393*z^2
(21754/127935 : 6647/25587 : 1) C2a (1509232/382341 : -35461/382341 : 1)
** u= 57/139 ; C1 -131546*x^2 - 22570*y^2 + 226*z^2
(86/73011 : 7303/73011 : 1) C2a (272231/10551 : 1273/10551 : 1)
** u= 58/177 ; C1 -201073*x^2 - 34693*y^2 + 7433*z^2
(-10630/134263 : -56633/134263 : 1) C2a (7864124/1157653 : 167361/1157653 : 1)
** u= 58/189 ; C1 -225817*x^2 - 39085*y^2 + 10433*z^2
(13822/102479 : 41225/102479 : 1) C2a (-43463082/1010471 : 998471/1010471 : 1)
** u= 62/151 ; C1 -155297*x^2 - 26645*y^2 + 233*z^2
(-27/911 : 4004/66503 : 1) C2a (-1092/319 : 931/23287 : 1)
** u= 62/179 ; C1 -208441*x^2 - 35885*y^2 + 6001*z^2
(2578/48853 : -18987/48853 : 1) C2a (-5800808/42227 : 105415/42227 : 1)
** u= 62/181 ; C1 -212537*x^2 - 36605*y^2 + 6473*z^2
(44739/290453 : 57416/290453 : 1) C2a (3023466/796187 : -63793/796187 : 1)
** u= 62/193 ; C1 -237953*x^2 - 41093*y^2 + 9473*z^2
(-933/19085 : -8884/19085 : 1) C2a (-61916/417 : -1321/417 : 1)
** u= 62/195 ; C1 -242329*x^2 - 41869*y^2 + 10001*z^2
(-60905/303571 : -23308/303571 : 1) C2a (-8002884/1104965 : 178561/1104965 : 1)
** u= 62/197 ; C1 -246745*x^2 - 42653*y^2 + 10537*z^2
(-5735/146641 : 71568/146641 : 1) C2a (-32092766/1387297 : -710627/1387297 : 1)
** u= 63/173 ; C1 -197210*x^2 - 33898*y^2 + 4162*z^2
(5451/38101 : 2318/38101 : 1) C2a (1432261/1339655 : -54711/1339655 : 1)
** u= 63/181 ; C1 -213386*x^2 - 36730*y^2 + 5986*z^2
(-1278/31253 : 12235/31253 : 1) C2a (-115601/216231 : -8315/216231 : 1)
** u= 66/161 ; C1 -176465*x^2 - 30277*y^2 + 313*z^2
(1851/53761 : 3148/53761 : 1) C2a (617636/13713 : 2837/13713 : 1)
** u= 66/163 ; C1 -180233*x^2 - 30925*y^2 + 697*z^2
(-1030/20781 : 9421/103905 : 1) C2a (4155160/54521 : -138963/272605 : 1)
** u= 66/193 ; C1 -241553*x^2 - 41605*y^2 + 7417*z^2
(1509/14873 : 5120/14873 : 1) C2a (2471578/1375401 : 69065/1375401 : 1)
** u= 69/167 ; C1 -190298*x^2 - 32650*y^2 + 82*z^2
(438/25067 : -3391/125335 : 1) C2a (-1859/19 : -21/95 : 1)
** u= 69/175 ; C1 -206186*x^2 - 35386*y^2 + 1714*z^2
(-1563/81635 : 17566/81635 : 1) C2a (-2570063/423203 : -29691/423203 : 1)
** u= 70/169 ; C1 -195025*x^2 - 33461*y^2 + z^2
(-58/34335 : 25/6867 : 1) C2a (2290948/26843 : 1147/26843 : 1)
** u= 70/179 ; C1 -215225*x^2 - 36941*y^2 + 2081*z^2
(126/3673 : 817/3673 : 1) C2a (-8628908/754713 : 95267/754713 : 1)
** u= 70/181 ; C1 -219385*x^2 - 37661*y^2 + 2521*z^2
(-37702/353907 : -10193/353907 : 1) C2a (13107058/402247 : 151427/402247 : 1)
** u= 70/193 ; C1 -245185*x^2 - 42149*y^2 + 5329*z^2
(9490/101619 : -27959/101619 : 1) C2a (21272578/3334567 : 4909/45679 : 1)
** u= 70/199 ; C1 -258625*x^2 - 44501*y^2 + 6841*z^2
(-12719/167915 : -11652/33583 : 1) C2a (59030792/534727 : -1028597/534727 : 1)
** u= 74/179 ; C1 -218665*x^2 - 37517*y^2 + 73*z^2
(-10510/666477 : -14849/666477 : 1) C2a (-1251902/8245 : -2473/8245 : 1)
** u= 77/199 ; C1 -265226*x^2 - 45530*y^2 + 3026*z^2
(177/43127 : -110/427 : 1) C2a (8161667/11157 : 93493/11157 : 1)
1168
>
■これらのuについて、(3),(5a),(5b)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+578*C^4=4*D^4(n=17のとき)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, 0 < Dを満たすように、A,B,C,Dの符号を変更したり、A,B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]
- [1]Noam Elkies, "On A^4+B^4+C^4=D^4", Math Comp. 51(184), p824-835, 1988.
- [2]StarkExchange MATHEMATICS, "Distribution of Primitive Pytagorean Triples (PPT) and of solutions of A^4+B^4+C^4=D^4", 2016/07/08.
- [3]StarkExchange MATHEMATICS, "More elliptic curves for x^4+y^4+z^4=1?", 2017/07/28.
- [4]Tom Womack, "The quartic surfaces x^4+y^4+z^4=N", 2013/05/17.
- [5]Tom Womack, "elk18.mag", 2013/06/07.
- [6]Tom Womack, "elk18.pts", 2013/06/07.
- [7]Tom Womack, "Integer points on x^4+y^4+z^4=Nt^4", 2013/06/07.
| Last Update: 2026.05.08 |
| H.Nakao |