the unit n sphere and rational trig

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with respect to N J Wildberger

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The Unit n Sphere And Rational Trigonometry

_____________________________________________________________________

Written By Adi Cox with respect to N J Wildberger

12th July 2015

0-sphere

________

Rational points on a unit 0-sphere:

. .

-1 1

A unit 0-sphere is a trivial example and is just two points on the

number line.

1-sphere

________

Rational points on a unit circle (1-sphere):

e(x1,x2) = [x1,x2]

where x1 and x2 are 2 space cartesian coordinates

e(r1) = [(2(r1))/(1+(r1)^2),(1-(r1)^2)/(1+(r1)^2)]

where r1 is any integer.

r1 x1 x2 (x1)^2 (x2)^2

______________________________________

0 0 1 0 1

1 1 0 1 0

2 4/5 -3/5 16/25 9/25

3 3/5 -4/5 9/25 16/25

4 8/17 -15/17 64/289 225/25

5 5/13 -12/13 25/169 144/25

. . . . .

. . . . .

. . . . .

Q1 = (x1)^2+(x2)^2

where Q1 = quadrance (length squared)

s1 = ((x1)^2)/((x1)^2+(x2)^2)

where s1 = spread (sine angle squared or cosine angle squared)

Triple quad formula

The three points A1,A2,A3 are collinear (meaning that they all lie

on a single line) precisely when

(Q1+Q2+Q3)^2 = 2((Q1)^2+(Q2)^2+(Q3)^2)

Pythagoras' theorem

The lines A1A2 and A3A4 are perpendicular precisely when

Q1+Q2=Q3

Spread law

For any triangle A1A2A3 with non zero quadrances

s1/Q1 = s2/Q2 = s3/Q3

Cross law

For any triangle A1A2A3

(Q1+Q2+Q3)^2 = 4Q1Q2(1-s3)

Triple spread formula

For any triangle A1A2A3

(s1+s2+s3)^2 = 2((s1)^2+(s2)^2+(s3)^2) + 4(s1)(s2)(s3)

Quadrea (16 times area squared)

QQ = QQ(Q1,Q2,Q3) = (Q1+Q2+Q3)^2 - 2((Q1)^2+(Q2)^2+(Q3)^2)

2-sphere

________

Rational points on a unit sphere (2-sphere):

e(x1,x2,x3) = [x1,x2,x3]

where x1, x2 and x3 are 3 space cartesian coordinates

e(r1,r2) = [(2(r1))/(1+(r1)^2+(r2)^2),

(2(r2))/(1+(r1)^2+(r2)^2),

(1-(r1)^2-(r2)^2)/(1+(r1)^2+(r2)^2)]

where r1 and r2 are any integer.

Q1 = (x1)^2+(x2)^2

Q2 = (x1)^2+(x2)^2+(x3)^2

where Q1 and Q2 = quadrance (length squared)

s1 = ((x1)^2)/((x1)^2+(x2)^2)

s2 = ((x1)^2+(x2)^2)/((x1)^2+(x2)^2+(x3)^2)

where s1 and s2 = spread (sine angle squared or cosine angle squared)

Quadrume (the rational analog to volume, not defined yet?)

3-sphere

________

Rational points on a unit sphere (3-sphere):

e(x1,x2,x3,x4) = [x1,x2,x3,x4]

where x1, x2, x3 and x4 are 4 space cartesian coordinates

e(r1,r2,r3) = [(2(r1))/(1+(r1)^2+(r2)^2+(r3)^2),

(2(r2))/(1+(r1)^2+(r2)^2+(r3)^2),

(2(r3))/(1+(r1)^2+(r2)^2+(r3)^2),

(1-(r1)^2-(r2)^2-(r3)^2)/(1+(r1)^2+(r2)^2+(r3)^2)]

where r1,r2,r3 are any integer.

Q1 = (x1)^2+(x2)^2

Q2 = (x1)^2+(x2)^2+(x3)^2

Q3 = (x1)^2+(x2)^2+(x3)^2+(x4)^2

where Q1 Q2 and Q3 = quadrance (length squared)

s1 = ((x1)^2)/((x1)^2+(x2)^2)

s2 = ((x1)^2+(x2)^2)/((x1)^2+(x2)^2+(x3)^2)

s3 = ((x1)^2+(x2)^2+(x3)^2)/((x1)^2+(x2)^2+(x3)^2+(x4)^2)

where s1 s2 and s3 = spread (sine angle squared or cosine angle

squared)

The rational analog to the 4th dimensional volume has not been

defined yet?

n-sphere

________

Rational points on a unit sphere (3-sphere):

e(x1,x2,x3,... xn) = [x1,x2,x3,... xn]

where x1, x2, x3,... xn are n space cartesian coordinates

e(r1,r2,r3,... rn) = [(2(r1))/(1+(r1)^2+(r2)^2+(r3)^2+... (rn)^2),

(2(r2))/(1+(r1)^2+(r2)^2+(r3)^2+... (rn)^2),

(2(r3))/(1+(r1)^2+(r2)^2+(r3)^2+... (rn)^2),

.

.

.

(2(rn))/(1+(r1)^2+(r2)^2+(r3)^2+... (rn)^2),

(1-(r1)^2-(r2)^2-(r3)^2-... (rn)^2)/

(1+(r1)^2+(r2)^2+(r3)^2+... (rn)^2)]

where r1,r2,r3,... rn are any integer.

Q1 = (x1)^2+(x2)^2

Q2 = (x1)^2+(x2)^2+(x3)^2

Q3 = (x1)^2+(x2)^2+(x3)^2+(x4)^2

.

.

.

Qn = (x1)^2+(x2)^2+(x3)^2+(x4)^2+... (xn)^2

where Q1 Q2 Q3... Qn = quadrance (length squared)

s1 = ((x1)^2)/((x1)^2+(x2)^2)

s2 = ((x1)^2+(x2)^2)/((x1)^2+(x2)^2+(x3)^2)

s3 = ((x1)^2+(x2)^2+(x3)^2)/((x1)^2+(x2)^2+(x3)^2+(x4)^2)

.

.

.

sn = ((x1)^2+(x2)^2+(x3)^2+... (xn)^2)/

((x1)^2+(x2)^2+(x3)^2+(x4)^2+... (xn)^2)

where s1 s2 s3... sn = spread (sine angle squared or cosine angle

squared)

The rational analog to the nth dimensional volume has not been

defined yet?

_____________________________________________________________________

Below is a program that outputs rational points on a 2 sphere.

_____________________________________________________________________

A for loop

//[(2(r1))/(1+(r1)^2+(r2)^2),

//(2(r2))/(1+(r1)^2+(r2)^2),

//(1-(r1)^2-(r2)^2)/(1+(r1)^2+(r2)^2)]

u=0;

v=10;

document.write("Some rational points for a 2 sphere:
");

document.write(" X^2 + Y^2 + Z^2 = 1
");

for (x2 = u; x2 < v; x2++)

{

for (x1 = u; x1 < v; x1++)

{

a1=2*x1;

a2=2*x2;

a3=1-x1*x1-x2*x2;

a4=1+x1*x1+x2*x2;

{

document.write("(",a1,"/",a4,")^2 + (",a2,"/",a4,")^2 + (",a3,"/",a4,")^2 = 1", "
");

}

}

}

_____________________________________________________________________

Output of the above program, below

_____________________________________________________________________

Some rational points for a 2 sphere:

X^2 + Y^2 + Z^2 = 1

(0/1)^2 + (0/1)^2 + (1/1)^2 = 1

(2/2)^2 + (0/2)^2 + (0/2)^2 = 1

(4/5)^2 + (0/5)^2 + (-3/5)^2 = 1

(6/10)^2 + (0/10)^2 + (-8/10)^2 = 1

(8/17)^2 + (0/17)^2 + (-15/17)^2 = 1

(10/26)^2 + (0/26)^2 + (-24/26)^2 = 1

(12/37)^2 + (0/37)^2 + (-35/37)^2 = 1

(14/50)^2 + (0/50)^2 + (-48/50)^2 = 1

(16/65)^2 + (0/65)^2 + (-63/65)^2 = 1

(18/82)^2 + (0/82)^2 + (-80/82)^2 = 1

(20/101)^2 + (0/101)^2 + (-99/101)^2 = 1

(22/122)^2 + (0/122)^2 + (-120/122)^2 = 1

(24/145)^2 + (0/145)^2 + (-143/145)^2 = 1

(26/170)^2 + (0/170)^2 + (-168/170)^2 = 1

(28/197)^2 + (0/197)^2 + (-195/197)^2 = 1

(30/226)^2 + (0/226)^2 + (-224/226)^2 = 1

(32/257)^2 + (0/257)^2 + (-255/257)^2 = 1

(34/290)^2 + (0/290)^2 + (-288/290)^2 = 1

(36/325)^2 + (0/325)^2 + (-323/325)^2 = 1

(38/362)^2 + (0/362)^2 + (-360/362)^2 = 1

(40/401)^2 + (0/401)^2 + (-399/401)^2 = 1

(42/442)^2 + (0/442)^2 + (-440/442)^2 = 1

(44/485)^2 + (0/485)^2 + (-483/485)^2 = 1

(46/530)^2 + (0/530)^2 + (-528/530)^2 = 1

(48/577)^2 + (0/577)^2 + (-575/577)^2 = 1

(50/626)^2 + (0/626)^2 + (-624/626)^2 = 1

(52/677)^2 + (0/677)^2 + (-675/677)^2 = 1

(54/730)^2 + (0/730)^2 + (-728/730)^2 = 1

(56/785)^2 + (0/785)^2 + (-783/785)^2 = 1

(58/842)^2 + (0/842)^2 + (-840/842)^2 = 1

(60/901)^2 + (0/901)^2 + (-899/901)^2 = 1

(62/962)^2 + (0/962)^2 + (-960/962)^2 = 1

(64/1025)^2 + (0/1025)^2 + (-1023/1025)^2 = 1

(66/1090)^2 + (0/1090)^2 + (-1088/1090)^2 = 1

(68/1157)^2 + (0/1157)^2 + (-1155/1157)^2 = 1

(70/1226)^2 + (0/1226)^2 + (-1224/1226)^2 = 1

(72/1297)^2 + (0/1297)^2 + (-1295/1297)^2 = 1

(74/1370)^2 + (0/1370)^2 + (-1368/1370)^2 = 1

(76/1445)^2 + (0/1445)^2 + (-1443/1445)^2 = 1

(78/1522)^2 + (0/1522)^2 + (-1520/1522)^2 = 1

(80/1601)^2 + (0/1601)^2 + (-1599/1601)^2 = 1

(82/1682)^2 + (0/1682)^2 + (-1680/1682)^2 = 1

(84/1765)^2 + (0/1765)^2 + (-1763/1765)^2 = 1

(86/1850)^2 + (0/1850)^2 + (-1848/1850)^2 = 1

(88/1937)^2 + (0/1937)^2 + (-1935/1937)^2 = 1

(90/2026)^2 + (0/2026)^2 + (-2024/2026)^2 = 1

(92/2117)^2 + (0/2117)^2 + (-2115/2117)^2 = 1

(94/2210)^2 + (0/2210)^2 + (-2208/2210)^2 = 1

(96/2305)^2 + (0/2305)^2 + (-2303/2305)^2 = 1

(98/2402)^2 + (0/2402)^2 + (-2400/2402)^2 = 1

(100/2501)^2 + (0/2501)^2 + (-2499/2501)^2 = 1

(102/2602)^2 + (0/2602)^2 + (-2600/2602)^2 = 1

(104/2705)^2 + (0/2705)^2 + (-2703/2705)^2 = 1

(106/2810)^2 + (0/2810)^2 + (-2808/2810)^2 = 1

(108/2917)^2 + (0/2917)^2 + (-2915/2917)^2 = 1

(110/3026)^2 + (0/3026)^2 + (-3024/3026)^2 = 1

(112/3137)^2 + (0/3137)^2 + (-3135/3137)^2 = 1

(114/3250)^2 + (0/3250)^2 + (-3248/3250)^2 = 1

(116/3365)^2 + (0/3365)^2 + (-3363/3365)^2 = 1

(118/3482)^2 + (0/3482)^2 + (-3480/3482)^2 = 1

(120/3601)^2 + (0/3601)^2 + (-3599/3601)^2 = 1

(122/3722)^2 + (0/3722)^2 + (-3720/3722)^2 = 1

(124/3845)^2 + (0/3845)^2 + (-3843/3845)^2 = 1

(126/3970)^2 + (0/3970)^2 + (-3968/3970)^2 = 1

(128/4097)^2 + (0/4097)^2 + (-4095/4097)^2 = 1

(130/4226)^2 + (0/4226)^2 + (-4224/4226)^2 = 1

(132/4357)^2 + (0/4357)^2 + (-4355/4357)^2 = 1

(134/4490)^2 + (0/4490)^2 + (-4488/4490)^2 = 1

(136/4625)^2 + (0/4625)^2 + (-4623/4625)^2 = 1

(138/4762)^2 + (0/4762)^2 + (-4760/4762)^2 = 1

(140/4901)^2 + (0/4901)^2 + (-4899/4901)^2 = 1

(142/5042)^2 + (0/5042)^2 + (-5040/5042)^2 = 1

(144/5185)^2 + (0/5185)^2 + (-5183/5185)^2 = 1

(146/5330)^2 + (0/5330)^2 + (-5328/5330)^2 = 1

(148/5477)^2 + (0/5477)^2 + (-5475/5477)^2 = 1

(150/5626)^2 + (0/5626)^2 + (-5624/5626)^2 = 1

(152/5777)^2 + (0/5777)^2 + (-5775/5777)^2 = 1

(154/5930)^2 + (0/5930)^2 + (-5928/5930)^2 = 1

(156/6085)^2 + (0/6085)^2 + (-6083/6085)^2 = 1

(158/6242)^2 + (0/6242)^2 + (-6240/6242)^2 = 1

(160/6401)^2 + (0/6401)^2 + (-6399/6401)^2 = 1

(162/6562)^2 + (0/6562)^2 + (-6560/6562)^2 = 1

(164/6725)^2 + (0/6725)^2 + (-6723/6725)^2 = 1

(166/6890)^2 + (0/6890)^2 + (-6888/6890)^2 = 1

(168/7057)^2 + (0/7057)^2 + (-7055/7057)^2 = 1

(170/7226)^2 + (0/7226)^2 + (-7224/7226)^2 = 1

(172/7397)^2 + (0/7397)^2 + (-7395/7397)^2 = 1

(174/7570)^2 + (0/7570)^2 + (-7568/7570)^2 = 1

(176/7745)^2 + (0/7745)^2 + (-7743/7745)^2 = 1

(178/7922)^2 + (0/7922)^2 + (-7920/7922)^2 = 1

(180/8101)^2 + (0/8101)^2 + (-8099/8101)^2 = 1

(182/8282)^2 + (0/8282)^2 + (-8280/8282)^2 = 1

(184/8465)^2 + (0/8465)^2 + (-8463/8465)^2 = 1

(186/8650)^2 + (0/8650)^2 + (-8648/8650)^2 = 1

(188/8837)^2 + (0/8837)^2 + (-8835/8837)^2 = 1

(190/9026)^2 + (0/9026)^2 + (-9024/9026)^2 = 1

(192/9217)^2 + (0/9217)^2 + (-9215/9217)^2 = 1

(194/9410)^2 + (0/9410)^2 + (-9408/9410)^2 = 1

(196/9605)^2 + (0/9605)^2 + (-9603/9605)^2 = 1

(198/9802)^2 + (0/9802)^2 + (-9800/9802)^2 = 1

(0/2)^2 + (2/2)^2 + (0/2)^2 = 1

(2/3)^2 + (2/3)^2 + (-1/3)^2 = 1

(4/6)^2 + (2/6)^2 + (-4/6)^2 = 1

(6/11)^2 + (2/11)^2 + (-9/11)^2 = 1

(8/18)^2 + (2/18)^2 + (-16/18)^2 = 1

(10/27)^2 + (2/27)^2 + (-25/27)^2 = 1

(12/38)^2 + (2/38)^2 + (-36/38)^2 = 1

(14/51)^2 + (2/51)^2 + (-49/51)^2 = 1

(16/66)^2 + (2/66)^2 + (-64/66)^2 = 1

(18/83)^2 + (2/83)^2 + (-81/83)^2 = 1

(20/102)^2 + (2/102)^2 + (-100/102)^2 = 1

(22/123)^2 + (2/123)^2 + (-121/123)^2 = 1

(24/146)^2 + (2/146)^2 + (-144/146)^2 = 1

(26/171)^2 + (2/171)^2 + (-169/171)^2 = 1

(28/198)^2 + (2/198)^2 + (-196/198)^2 = 1

(30/227)^2 + (2/227)^2 + (-225/227)^2 = 1

(32/258)^2 + (2/258)^2 + (-256/258)^2 = 1

(34/291)^2 + (2/291)^2 + (-289/291)^2 = 1

(36/326)^2 + (2/326)^2 + (-324/326)^2 = 1

(38/363)^2 + (2/363)^2 + (-361/363)^2 = 1

(40/402)^2 + (2/402)^2 + (-400/402)^2 = 1

(42/443)^2 + (2/443)^2 + (-441/443)^2 = 1

(44/486)^2 + (2/486)^2 + (-484/486)^2 = 1

(46/531)^2 + (2/531)^2 + (-529/531)^2 = 1

(48/578)^2 + (2/578)^2 + (-576/578)^2 = 1

(50/627)^2 + (2/627)^2 + (-625/627)^2 = 1

(52/678)^2 + (2/678)^2 + (-676/678)^2 = 1

(54/731)^2 + (2/731)^2 + (-729/731)^2 = 1

(56/786)^2 + (2/786)^2 + (-784/786)^2 = 1

(58/843)^2 + (2/843)^2 + (-841/843)^2 = 1

(60/902)^2 + (2/902)^2 + (-900/902)^2 = 1

(62/963)^2 + (2/963)^2 + (-961/963)^2 = 1

(64/1026)^2 + (2/1026)^2 + (-1024/1026)^2 = 1

(66/1091)^2 + (2/1091)^2 + (-1089/1091)^2 = 1

(68/1158)^2 + (2/1158)^2 + (-1156/1158)^2 = 1

(70/1227)^2 + (2/1227)^2 + (-1225/1227)^2 = 1

(72/1298)^2 + (2/1298)^2 + (-1296/1298)^2 = 1

(74/1371)^2 + (2/1371)^2 + (-1369/1371)^2 = 1

(76/1446)^2 + (2/1446)^2 + (-1444/1446)^2 = 1

(78/1523)^2 + (2/1523)^2 + (-1521/1523)^2 = 1

(80/1602)^2 + (2/1602)^2 + (-1600/1602)^2 = 1

(82/1683)^2 + (2/1683)^2 + (-1681/1683)^2 = 1

(84/1766)^2 + (2/1766)^2 + (-1764/1766)^2 = 1

(86/1851)^2 + (2/1851)^2 + (-1849/1851)^2 = 1

(88/1938)^2 + (2/1938)^2 + (-1936/1938)^2 = 1

(90/2027)^2 + (2/2027)^2 + (-2025/2027)^2 = 1

(92/2118)^2 + (2/2118)^2 + (-2116/2118)^2 = 1

(94/2211)^2 + (2/2211)^2 + (-2209/2211)^2 = 1

(96/2306)^2 + (2/2306)^2 + (-2304/2306)^2 = 1

(98/2403)^2 + (2/2403)^2 + (-2401/2403)^2 = 1

(100/2502)^2 + (2/2502)^2 + (-2500/2502)^2 = 1

(102/2603)^2 + (2/2603)^2 + (-2601/2603)^2 = 1

(104/2706)^2 + (2/2706)^2 + (-2704/2706)^2 = 1

(106/2811)^2 + (2/2811)^2 + (-2809/2811)^2 = 1

(108/2918)^2 + (2/2918)^2 + (-2916/2918)^2 = 1

(110/3027)^2 + (2/3027)^2 + (-3025/3027)^2 = 1

(112/3138)^2 + (2/3138)^2 + (-3136/3138)^2 = 1

(114/3251)^2 + (2/3251)^2 + (-3249/3251)^2 = 1

(116/3366)^2 + (2/3366)^2 + (-3364/3366)^2 = 1

(118/3483)^2 + (2/3483)^2 + (-3481/3483)^2 = 1

(120/3602)^2 + (2/3602)^2 + (-3600/3602)^2 = 1

(122/3723)^2 + (2/3723)^2 + (-3721/3723)^2 = 1

(124/3846)^2 + (2/3846)^2 + (-3844/3846)^2 = 1

(126/3971)^2 + (2/3971)^2 + (-3969/3971)^2 = 1

(128/4098)^2 + (2/4098)^2 + (-4096/4098)^2 = 1

(130/4227)^2 + (2/4227)^2 + (-4225/4227)^2 = 1

(132/4358)^2 + (2/4358)^2 + (-4356/4358)^2 = 1

(134/4491)^2 + (2/4491)^2 + (-4489/4491)^2 = 1

(136/4626)^2 + (2/4626)^2 + (-4624/4626)^2 = 1

(138/4763)^2 + (2/4763)^2 + (-4761/4763)^2 = 1

(140/4902)^2 + (2/4902)^2 + (-4900/4902)^2 = 1

(142/5043)^2 + (2/5043)^2 + (-5041/5043)^2 = 1

(144/5186)^2 + (2/5186)^2 + (-5184/5186)^2 = 1

(146/5331)^2 + (2/5331)^2 + (-5329/5331)^2 = 1

(148/5478)^2 + (2/5478)^2 + (-5476/5478)^2 = 1

(150/5627)^2 + (2/5627)^2 + (-5625/5627)^2 = 1

(152/5778)^2 + (2/5778)^2 + (-5776/5778)^2 = 1

(154/5931)^2 + (2/5931)^2 + (-5929/5931)^2 = 1

(156/6086)^2 + (2/6086)^2 + (-6084/6086)^2 = 1

(158/6243)^2 + (2/6243)^2 + (-6241/6243)^2 = 1

(160/6402)^2 + (2/6402)^2 + (-6400/6402)^2 = 1

(162/6563)^2 + (2/6563)^2 + (-6561/6563)^2 = 1

(164/6726)^2 + (2/6726)^2 + (-6724/6726)^2 = 1

(166/6891)^2 + (2/6891)^2 + (-6889/6891)^2 = 1

(168/7058)^2 + (2/7058)^2 + (-7056/7058)^2 = 1

(170/7227)^2 + (2/7227)^2 + (-7225/7227)^2 = 1

(172/7398)^2 + (2/7398)^2 + (-7396/7398)^2 = 1

(174/7571)^2 + (2/7571)^2 + (-7569/7571)^2 = 1

(176/7746)^2 + (2/7746)^2 + (-7744/7746)^2 = 1

(178/7923)^2 + (2/7923)^2 + (-7921/7923)^2 = 1

(180/8102)^2 + (2/8102)^2 + (-8100/8102)^2 = 1

(182/8283)^2 + (2/8283)^2 + (-8281/8283)^2 = 1

(184/8466)^2 + (2/8466)^2 + (-8464/8466)^2 = 1

(186/8651)^2 + (2/8651)^2 + (-8649/8651)^2 = 1

(188/8838)^2 + (2/8838)^2 + (-8836/8838)^2 = 1

(190/9027)^2 + (2/9027)^2 + (-9025/9027)^2 = 1

(192/9218)^2 + (2/9218)^2 + (-9216/9218)^2 = 1

(194/9411)^2 + (2/9411)^2 + (-9409/9411)^2 = 1

(196/9606)^2 + (2/9606)^2 + (-9604/9606)^2 = 1

(198/9803)^2 + (2/9803)^2 + (-9801/9803)^2 = 1

(0/5)^2 + (4/5)^2 + (-3/5)^2 = 1

(2/6)^2 + (4/6)^2 + (-4/6)^2 = 1

(4/9)^2 + (4/9)^2 + (-7/9)^2 = 1

(6/14)^2 + (4/14)^2 + (-12/14)^2 = 1

(8/21)^2 + (4/21)^2 + (-19/21)^2 = 1

(10/30)^2 + (4/30)^2 + (-28/30)^2 = 1

(12/41)^2 + (4/41)^2 + (-39/41)^2 = 1

(14/54)^2 + (4/54)^2 + (-52/54)^2 = 1

(16/69)^2 + (4/69)^2 + (-67/69)^2 = 1

(18/86)^2 + (4/86)^2 + (-84/86)^2 = 1

(20/105)^2 + (4/105)^2 + (-103/105)^2 = 1

(22/126)^2 + (4/126)^2 + (-124/126)^2 = 1

(24/149)^2 + (4/149)^2 + (-147/149)^2 = 1

(26/174)^2 + (4/174)^2 + (-172/174)^2 = 1

(28/201)^2 + (4/201)^2 + (-199/201)^2 = 1

(30/230)^2 + (4/230)^2 + (-228/230)^2 = 1

(32/261)^2 + (4/261)^2 + (-259/261)^2 = 1

(34/294)^2 + (4/294)^2 + (-292/294)^2 = 1

(36/329)^2 + (4/329)^2 + (-327/329)^2 = 1

(38/366)^2 + (4/366)^2 + (-364/366)^2 = 1

(40/405)^2 + (4/405)^2 + (-403/405)^2 = 1

(42/446)^2 + (4/446)^2 + (-444/446)^2 = 1

(44/489)^2 + (4/489)^2 + (-487/489)^2 = 1

(46/534)^2 + (4/534)^2 + (-532/534)^2 = 1

(48/581)^2 + (4/581)^2 + (-579/581)^2 = 1

(50/630)^2 + (4/630)^2 + (-628/630)^2 = 1

(52/681)^2 + (4/681)^2 + (-679/681)^2 = 1

(54/734)^2 + (4/734)^2 + (-732/734)^2 = 1

(56/789)^2 + (4/789)^2 + (-787/789)^2 = 1

(58/846)^2 + (4/846)^2 + (-844/846)^2 = 1

(60/905)^2 + (4/905)^2 + (-903/905)^2 = 1

(62/966)^2 + (4/966)^2 + (-964/966)^2 = 1

(64/1029)^2 + (4/1029)^2 + (-1027/1029)^2 = 1

(66/1094)^2 + (4/1094)^2 + (-1092/1094)^2 = 1

(68/1161)^2 + (4/1161)^2 + (-1159/1161)^2 = 1

(70/1230)^2 + (4/1230)^2 + (-1228/1230)^2 = 1

(72/1301)^2 + (4/1301)^2 + (-1299/1301)^2 = 1

(74/1374)^2 + (4/1374)^2 + (-1372/1374)^2 = 1

(76/1449)^2 + (4/1449)^2 + (-1447/1449)^2 = 1

(78/1526)^2 + (4/1526)^2 + (-1524/1526)^2 = 1

(80/1605)^2 + (4/1605)^2 + (-1603/1605)^2 = 1

(82/1686)^2 + (4/1686)^2 + (-1684/1686)^2 = 1

(84/1769)^2 + (4/1769)^2 + (-1767/1769)^2 = 1

(86/1854)^2 + (4/1854)^2 + (-1852/1854)^2 = 1

(88/1941)^2 + (4/1941)^2 + (-1939/1941)^2 = 1

(90/2030)^2 + (4/2030)^2 + (-2028/2030)^2 = 1

(92/2121)^2 + (4/2121)^2 + (-2119/2121)^2 = 1

(94/2214)^2 + (4/2214)^2 + (-2212/2214)^2 = 1

(96/2309)^2 + (4/2309)^2 + (-2307/2309)^2 = 1

(98/2406)^2 + (4/2406)^2 + (-2404/2406)^2 = 1

(100/2505)^2 + (4/2505)^2 + (-2503/2505)^2 = 1

(102/2606)^2 + (4/2606)^2 + (-2604/2606)^2 = 1

(104/2709)^2 + (4/2709)^2 + (-2707/2709)^2 = 1

(106/2814)^2 + (4/2814)^2 + (-2812/2814)^2 = 1

(108/2921)^2 + (4/2921)^2 + (-2919/2921)^2 = 1

(110/3030)^2 + (4/3030)^2 + (-3028/3030)^2 = 1

(112/3141)^2 + (4/3141)^2 + (-3139/3141)^2 = 1

(114/3254)^2 + (4/3254)^2 + (-3252/3254)^2 = 1

(116/3369)^2 + (4/3369)^2 + (-3367/3369)^2 = 1

(118/3486)^2 + (4/3486)^2 + (-3484/3486)^2 = 1

(120/3605)^2 + (4/3605)^2 + (-3603/3605)^2 = 1

(122/3726)^2 + (4/3726)^2 + (-3724/3726)^2 = 1

(124/3849)^2 + (4/3849)^2 + (-3847/3849)^2 = 1

(126/3974)^2 + (4/3974)^2 + (-3972/3974)^2 = 1

(128/4101)^2 + (4/4101)^2 + (-4099/4101)^2 = 1

(130/4230)^2 + (4/4230)^2 + (-4228/4230)^2 = 1

(132/4361)^2 + (4/4361)^2 + (-4359/4361)^2 = 1

(134/4494)^2 + (4/4494)^2 + (-4492/4494)^2 = 1

(136/4629)^2 + (4/4629)^2 + (-4627/4629)^2 = 1

(138/4766)^2 + (4/4766)^2 + (-4764/4766)^2 = 1

(140/4905)^2 + (4/4905)^2 + (-4903/4905)^2 = 1

(142/5046)^2 + (4/5046)^2 + (-5044/5046)^2 = 1

(144/5189)^2 + (4/5189)^2 + (-5187/5189)^2 = 1

(146/5334)^2 + (4/5334)^2 + (-5332/5334)^2 = 1

(148/5481)^2 + (4/5481)^2 + (-5479/5481)^2 = 1

(150/5630)^2 + (4/5630)^2 + (-5628/5630)^2 = 1

(152/5781)^2 + (4/5781)^2 + (-5779/5781)^2 = 1

(154/5934)^2 + (4/5934)^2 + (-5932/5934)^2 = 1

(156/6089)^2 + (4/6089)^2 + (-6087/6089)^2 = 1

(158/6246)^2 + (4/6246)^2 + (-6244/6246)^2 = 1

(160/6405)^2 + (4/6405)^2 + (-6403/6405)^2 = 1

(162/6566)^2 + (4/6566)^2 + (-6564/6566)^2 = 1

(164/6729)^2 + (4/6729)^2 + (-6727/6729)^2 = 1

(166/6894)^2 + (4/6894)^2 + (-6892/6894)^2 = 1

(168/7061)^2 + (4/7061)^2 + (-7059/7061)^2 = 1

(170/7230)^2 + (4/7230)^2 + (-7228/7230)^2 = 1

(172/7401)^2 + (4/7401)^2 + (-7399/7401)^2 = 1

(174/7574)^2 + (4/7574)^2 + (-7572/7574)^2 = 1

(176/7749)^2 + (4/7749)^2 + (-7747/7749)^2 = 1

(178/7926)^2 + (4/7926)^2 + (-7924/7926)^2 = 1

(180/8105)^2 + (4/8105)^2 + (-8103/8105)^2 = 1

(182/8286)^2 + (4/8286)^2 + (-8284/8286)^2 = 1

(184/8469)^2 + (4/8469)^2 + (-8467/8469)^2 = 1

(186/8654)^2 + (4/8654)^2 + (-8652/8654)^2 = 1

(188/8841)^2 + (4/8841)^2 + (-8839/8841)^2 = 1

(190/9030)^2 + (4/9030)^2 + (-9028/9030)^2 = 1

(192/9221)^2 + (4/9221)^2 + (-9219/9221)^2 = 1

(194/9414)^2 + (4/9414)^2 + (-9412/9414)^2 = 1

(196/9609)^2 + (4/9609)^2 + (-9607/9609)^2 = 1

(198/9806)^2 + (4/9806)^2 + (-9804/9806)^2 = 1

(0/10)^2 + (6/10)^2 + (-8/10)^2 = 1

(2/11)^2 + (6/11)^2 + (-9/11)^2 = 1

(4/14)^2 + (6/14)^2 + (-12/14)^2 = 1

(6/19)^2 + (6/19)^2 + (-17/19)^2 = 1

(8/26)^2 + (6/26)^2 + (-24/26)^2 = 1

(10/35)^2 + (6/35)^2 + (-33/35)^2 = 1

(12/46)^2 + (6/46)^2 + (-44/46)^2 = 1

(14/59)^2 + (6/59)^2 + (-57/59)^2 = 1

(16/74)^2 + (6/74)^2 + (-72/74)^2 = 1

(18/91)^2 + (6/91)^2 + (-89/91)^2 = 1

(20/110)^2 + (6/110)^2 + (-108/110)^2 = 1

(22/131)^2 + (6/131)^2 + (-129/131)^2 = 1

(24/154)^2 + (6/154)^2 + (-152/154)^2 = 1

(26/179)^2 + (6/179)^2 + (-177/179)^2 = 1

(28/206)^2 + (6/206)^2 + (-204/206)^2 = 1

(30/235)^2 + (6/235)^2 + (-233/235)^2 = 1

(32/266)^2 + (6/266)^2 + (-264/266)^2 = 1

(34/299)^2 + (6/299)^2 + (-297/299)^2 = 1

(36/334)^2 + (6/334)^2 + (-332/334)^2 = 1

(38/371)^2 + (6/371)^2 + (-369/371)^2 = 1

(40/410)^2 + (6/410)^2 + (-408/410)^2 = 1

(42/451)^2 + (6/451)^2 + (-449/451)^2 = 1

(44/494)^2 + (6/494)^2 + (-492/494)^2 = 1

(46/539)^2 + (6/539)^2 + (-537/539)^2 = 1

(48/586)^2 + (6/586)^2 + (-584/586)^2 = 1

(50/635)^2 + (6/635)^2 + (-633/635)^2 = 1

(52/686)^2 + (6/686)^2 + (-684/686)^2 = 1

(54/739)^2 + (6/739)^2 + (-737/739)^2 = 1

(56/794)^2 + (6/794)^2 + (-792/794)^2 = 1

(58/851)^2 + (6/851)^2 + (-849/851)^2 = 1

(60/910)^2 + (6/910)^2 + (-908/910)^2 = 1

(62/971)^2 + (6/971)^2 + (-969/971)^2 = 1

(64/1034)^2 + (6/1034)^2 + (-1032/1034)^2 = 1

(66/1099)^2 + (6/1099)^2 + (-1097/1099)^2 = 1

(68/1166)^2 + (6/1166)^2 + (-1164/1166)^2 = 1

(70/1235)^2 + (6/1235)^2 + (-1233/1235)^2 = 1

(72/1306)^2 + (6/1306)^2 + (-1304/1306)^2 = 1

(74/1379)^2 + (6/1379)^2 + (-1377/1379)^2 = 1

(76/1454)^2 + (6/1454)^2 + (-1452/1454)^2 = 1

(78/1531)^2 + (6/1531)^2 + (-1529/1531)^2 = 1

(80/1610)^2 + (6/1610)^2 + (-1608/1610)^2 = 1

(82/1691)^2 + (6/1691)^2 + (-1689/1691)^2 = 1

(84/1774)^2 + (6/1774)^2 + (-1772/1774)^2 = 1

(86/1859)^2 + (6/1859)^2 + (-1857/1859)^2 = 1

(88/1946)^2 + (6/1946)^2 + (-1944/1946)^2 = 1

(90/2035)^2 + (6/2035)^2 + (-2033/2035)^2 = 1

(92/2126)^2 + (6/2126)^2 + (-2124/2126)^2 = 1

(94/2219)^2 + (6/2219)^2 + (-2217/2219)^2 = 1

(96/2314)^2 + (6/2314)^2 + (-2312/2314)^2 = 1

(98/2411)^2 + (6/2411)^2 + (-2409/2411)^2 = 1

(100/2510)^2 + (6/2510)^2 + (-2508/2510)^2 = 1

(102/2611)^2 + (6/2611)^2 + (-2609/2611)^2 = 1

(104/2714)^2 + (6/2714)^2 + (-2712/2714)^2 = 1

(106/2819)^2 + (6/2819)^2 + (-2817/2819)^2 = 1

(108/2926)^2 + (6/2926)^2 + (-2924/2926)^2 = 1

(110/3035)^2 + (6/3035)^2 + (-3033/3035)^2 = 1

(112/3146)^2 + (6/3146)^2 + (-3144/3146)^2 = 1

(114/3259)^2 + (6/3259)^2 + (-3257/3259)^2 = 1

(116/3374)^2 + (6/3374)^2 + (-3372/3374)^2 = 1

(118/3491)^2 + (6/3491)^2 + (-3489/3491)^2 = 1

(120/3610)^2 + (6/3610)^2 + (-3608/3610)^2 = 1

(122/3731)^2 + (6/3731)^2 + (-3729/3731)^2 = 1

(124/3854)^2 + (6/3854)^2 + (-3852/3854)^2 = 1

(126/3979)^2 + (6/3979)^2 + (-3977/3979)^2 = 1

(128/4106)^2 + (6/4106)^2 + (-4104/4106)^2 = 1

(130/4235)^2 + (6/4235)^2 + (-4233/4235)^2 = 1

(132/4366)^2 + (6/4366)^2 + (-4364/4366)^2 = 1

(134/4499)^2 + (6/4499)^2 + (-4497/4499)^2 = 1

(136/4634)^2 + (6/4634)^2 + (-4632/4634)^2 = 1

(138/4771)^2 + (6/4771)^2 + (-4769/4771)^2 = 1

(140/4910)^2 + (6/4910)^2 + (-4908/4910)^2 = 1

(142/5051)^2 + (6/5051)^2 + (-5049/5051)^2 = 1

(144/5194)^2 + (6/5194)^2 + (-5192/5194)^2 = 1

(146/5339)^2 + (6/5339)^2 + (-5337/5339)^2 = 1

(148/5486)^2 + (6/5486)^2 + (-5484/5486)^2 = 1

(150/5635)^2 + (6/5635)^2 + (-5633/5635)^2 = 1

(152/5786)^2 + (6/5786)^2 + (-5784/5786)^2 = 1

(154/5939)^2 + (6/5939)^2 + (-5937/5939)^2 = 1

(156/6094)^2 + (6/6094)^2 + (-6092/6094)^2 = 1

(158/6251)^2 + (6/6251)^2 + (-6249/6251)^2 = 1

(160/6410)^2 + (6/6410)^2 + (-6408/6410)^2 = 1

(162/6571)^2 + (6/6571)^2 + (-6569/6571)^2 = 1

(164/6734)^2 + (6/6734)^2 + (-6732/6734)^2 = 1

(166/6899)^2 + (6/6899)^2 + (-6897/6899)^2 = 1

(168/7066)^2 + (6/7066)^2 + (-7064/7066)^2 = 1

(170/7235)^2 + (6/7235)^2 + (-7233/7235)^2 = 1

(172/7406)^2 + (6/7406)^2 + (-7404/7406)^2 = 1

(174/7579)^2 + (6/7579)^2 + (-7577/7579)^2 = 1

(176/7754)^2 + (6/7754)^2 + (-7752/7754)^2 = 1

(178/7931)^2 + (6/7931)^2 + (-7929/7931)^2 = 1

(180/8110)^2 + (6/8110)^2 + (-8108/8110)^2 = 1

(182/8291)^2 + (6/8291)^2 + (-8289/8291)^2 = 1

(184/8474)^2 + (6/8474)^2 + (-8472/8474)^2 = 1

(186/8659)^2 + (6/8659)^2 + (-8657/8659)^2 = 1

(188/8846)^2 + (6/8846)^2 + (-8844/8846)^2 = 1

(190/9035)^2 + (6/9035)^2 + (-9033/9035)^2 = 1

(192/9226)^2 + (6/9226)^2 + (-9224/9226)^2 = 1

(194/9419)^2 + (6/9419)^2 + (-9417/9419)^2 = 1

(196/9614)^2 + (6/9614)^2 + (-9612/9614)^2 = 1

(198/9811)^2 + (6/9811)^2 + (-9809/9811)^2 = 1

(0/17)^2 + (8/17)^2 + (-15/17)^2 = 1

(2/18)^2 + (8/18)^2 + (-16/18)^2 = 1

(4/21)^2 + (8/21)^2 + (-19/21)^2 = 1

(6/26)^2 + (8/26)^2 + (-24/26)^2 = 1

(8/33)^2 + (8/33)^2 + (-31/33)^2 = 1

(10/42)^2 + (8/42)^2 + (-40/42)^2 = 1

(12/53)^2 + (8/53)^2 + (-51/53)^2 = 1

(14/66)^2 + (8/66)^2 + (-64/66)^2 = 1

(16/81)^2 + (8/81)^2 + (-79/81)^2 = 1

(18/98)^2 + (8/98)^2 + (-96/98)^2 = 1

(20/117)^2 + (8/117)^2 + (-115/117)^2 = 1

(22/138)^2 + (8/138)^2 + (-136/138)^2 = 1

(24/161)^2 + (8/161)^2 + (-159/161)^2 = 1

(26/186)^2 + (8/186)^2 + (-184/186)^2 = 1

(28/213)^2 + (8/213)^2 + (-211/213)^2 = 1

(30/242)^2 + (8/242)^2 + (-240/242)^2 = 1

(32/273)^2 + (8/273)^2 + (-271/273)^2 = 1

(34/306)^2 + (8/306)^2 + (-304/306)^2 = 1

(36/341)^2 + (8/341)^2 + (-339/341)^2 = 1

(38/378)^2 + (8/378)^2 + (-376/378)^2 = 1

(40/417)^2 + (8/417)^2 + (-415/417)^2 = 1

(42/458)^2 + (8/458)^2 + (-456/458)^2 = 1

(44/501)^2 + (8/501)^2 + (-499/501)^2 = 1

(46/546)^2 + (8/546)^2 + (-544/546)^2 = 1

(48/593)^2 + (8/593)^2 + (-591/593)^2 = 1

(50/642)^2 + (8/642)^2 + (-640/642)^2 = 1

(52/693)^2 + (8/693)^2 + (-691/693)^2 = 1

(54/746)^2 + (8/746)^2 + (-744/746)^2 = 1

(56/801)^2 + (8/801)^2 + (-799/801)^2 = 1

(58/858)^2 + (8/858)^2 + (-856/858)^2 = 1

(60/917)^2 + (8/917)^2 + (-915/917)^2 = 1

(62/978)^2 + (8/978)^2 + (-976/978)^2 = 1

(64/1041)^2 + (8/1041)^2 + (-1039/1041)^2 = 1

(66/1106)^2 + (8/1106)^2 + (-1104/1106)^2 = 1

(68/1173)^2 + (8/1173)^2 + (-1171/1173)^2 = 1

(70/1242)^2 + (8/1242)^2 + (-1240/1242)^2 = 1

(72/1313)^2 + (8/1313)^2 + (-1311/1313)^2 = 1

(74/1386)^2 + (8/1386)^2 + (-1384/1386)^2 = 1

(76/1461)^2 + (8/1461)^2 + (-1459/1461)^2 = 1

(78/1538)^2 + (8/1538)^2 + (-1536/1538)^2 = 1

(80/1617)^2 + (8/1617)^2 + (-1615/1617)^2 = 1

(82/1698)^2 + (8/1698)^2 + (-1696/1698)^2 = 1

(84/1781)^2 + (8/1781)^2 + (-1779/1781)^2 = 1

(86/1866)^2 + (8/1866)^2 + (-1864/1866)^2 = 1

(88/1953)^2 + (8/1953)^2 + (-1951/1953)^2 = 1

(90/2042)^2 + (8/2042)^2 + (-2040/2042)^2 = 1

(92/2133)^2 + (8/2133)^2 + (-2131/2133)^2 = 1

(94/2226)^2 + (8/2226)^2 + (-2224/2226)^2 = 1

(96/2321)^2 + (8/2321)^2 + (-2319/2321)^2 = 1

(98/2418)^2 + (8/2418)^2 + (-2416/2418)^2 = 1

(100/2517)^2 + (8/2517)^2 + (-2515/2517)^2 = 1

(102/2618)^2 + (8/2618)^2 + (-2616/2618)^2 = 1

(104/2721)^2 + (8/2721)^2 + (-2719/2721)^2 = 1

(106/2826)^2 + (8/2826)^2 + (-2824/2826)^2 = 1

(108/2933)^2 + (8/2933)^2 + (-2931/2933)^2 = 1

(110/3042)^2 + (8/3042)^2 + (-3040/3042)^2 = 1

(112/3153)^2 + (8/3153)^2 + (-3151/3153)^2 = 1

(114/3266)^2 + (8/3266)^2 + (-3264/3266)^2 = 1

(116/3381)^2 + (8/3381)^2 + (-3379/3381)^2 = 1

(118/3498)^2 + (8/3498)^2 + (-3496/3498)^2 = 1

(120/3617)^2 + (8/3617)^2 + (-3615/3617)^2 = 1

(122/3738)^2 + (8/3738)^2 + (-3736/3738)^2 = 1

(124/3861)^2 + (8/3861)^2 + (-3859/3861)^2 = 1

(126/3986)^2 + (8/3986)^2 + (-3984/3986)^2 = 1

(128/4113)^2 + (8/4113)^2 + (-4111/4113)^2 = 1

(130/4242)^2 + (8/4242)^2 + (-4240/4242)^2 = 1

(132/4373)^2 + (8/4373)^2 + (-4371/4373)^2 = 1

(134/4506)^2 + (8/4506)^2 + (-4504/4506)^2 = 1

(136/4641)^2 + (8/4641)^2 + (-4639/4641)^2 = 1

(138/4778)^2 + (8/4778)^2 + (-4776/4778)^2 = 1

(140/4917)^2 + (8/4917)^2 + (-4915/4917)^2 = 1

(142/5058)^2 + (8/5058)^2 + (-5056/5058)^2 = 1

(144/5201)^2 + (8/5201)^2 + (-5199/5201)^2 = 1

(146/5346)^2 + (8/5346)^2 + (-5344/5346)^2 = 1

(148/5493)^2 + (8/5493)^2 + (-5491/5493)^2 = 1

(150/5642)^2 + (8/5642)^2 + (-5640/5642)^2 = 1

(152/5793)^2 + (8/5793)^2 + (-5791/5793)^2 = 1

(154/5946)^2 + (8/5946)^2 + (-5944/5946)^2 = 1

(156/6101)^2 + (8/6101)^2 + (-6099/6101)^2 = 1

(158/6258)^2 + (8/6258)^2 + (-6256/6258)^2 = 1

(160/6417)^2 + (8/6417)^2 + (-6415/6417)^2 = 1

(162/6578)^2 + (8/6578)^2 + (-6576/6578)^2 = 1

(164/6741)^2 + (8/6741)^2 + (-6739/6741)^2 = 1

(166/6906)^2 + (8/6906)^2 + (-6904/6906)^2 = 1

(168/7073)^2 + (8/7073)^2 + (-7071/7073)^2 = 1

(170/7242)^2 + (8/7242)^2 + (-7240/7242)^2 = 1

(172/7413)^2 + (8/7413)^2 + (-7411/7413)^2 = 1

(174/7586)^2 + (8/7586)^2 + (-7584/7586)^2 = 1

(176/7761)^2 + (8/7761)^2 + (-7759/7761)^2 = 1

(178/7938)^2 + (8/7938)^2 + (-7936/7938)^2 = 1

(180/8117)^2 + (8/8117)^2 + (-8115/8117)^2 = 1

(182/8298)^2 + (8/8298)^2 + (-8296/8298)^2 = 1

(184/8481)^2 + (8/8481)^2 + (-8479/8481)^2 = 1

(186/8666)^2 + (8/8666)^2 + (-8664/8666)^2 = 1

(188/8853)^2 + (8/8853)^2 + (-8851/8853)^2 = 1

(190/9042)^2 + (8/9042)^2 + (-9040/9042)^2 = 1

(192/9233)^2 + (8/9233)^2 + (-9231/9233)^2 = 1

(194/9426)^2 + (8/9426)^2 + (-9424/9426)^2 = 1

(196/9621)^2 + (8/9621)^2 + (-9619/9621)^2 = 1

(198/9818)^2 + (8/9818)^2 + (-9816/9818)^2 = 1

(0/26)^2 + (10/26)^2 + (-24/26)^2 = 1

(2/27)^2 + (10/27)^2 + (-25/27)^2 = 1

(4/30)^2 + (10/30)^2 + (-28/30)^2 = 1

(6/35)^2 + (10/35)^2 + (-33/35)^2 = 1

(8/42)^2 + (10/42)^2 + (-40/42)^2 = 1

(10/51)^2 + (10/51)^2 + (-49/51)^2 = 1

(12/62)^2 + (10/62)^2 + (-60/62)^2 = 1

(14/75)^2 + (10/75)^2 + (-73/75)^2 = 1

(16/90)^2 + (10/90)^2 + (-88/90)^2 = 1

(18/107)^2 + (10/107)^2 + (-105/107)^2 = 1

(20/126)^2 + (10/126)^2 + (-124/126)^2 = 1

(22/147)^2 + (10/147)^2 + (-145/147)^2 = 1

(24/170)^2 + (10/170)^2 + (-168/170)^2 = 1

(26/195)^2 + (10/195)^2 + (-193/195)^2 = 1

(28/222)^2 + (10/222)^2 + (-220/222)^2 = 1

(30/251)^2 + (10/251)^2 + (-249/251)^2 = 1

(32/282)^2 + (10/282)^2 + (-280/282)^2 = 1

(34/315)^2 + (10/315)^2 + (-313/315)^2 = 1

(36/350)^2 + (10/350)^2 + (-348/350)^2 = 1

(38/387)^2 + (10/387)^2 + (-385/387)^2 = 1

(40/426)^2 + (10/426)^2 + (-424/426)^2 = 1

(42/467)^2 + (10/467)^2 + (-465/467)^2 = 1

(44/510)^2 + (10/510)^2 + (-508/510)^2 = 1

(46/555)^2 + (10/555)^2 + (-553/555)^2 = 1

(48/602)^2 + (10/602)^2 + (-600/602)^2 = 1

(50/651)^2 + (10/651)^2 + (-649/651)^2 = 1

(52/702)^2 + (10/702)^2 + (-700/702)^2 = 1

(54/755)^2 + (10/755)^2 + (-753/755)^2 = 1

(56/810)^2 + (10/810)^2 + (-808/810)^2 = 1

(58/867)^2 + (10/867)^2 + (-865/867)^2 = 1

(60/926)^2 + (10/926)^2 + (-924/926)^2 = 1

(62/987)^2 + (10/987)^2 + (-985/987)^2 = 1

(64/1050)^2 + (10/1050)^2 + (-1048/1050)^2 = 1

(66/1115)^2 + (10/1115)^2 + (-1113/1115)^2 = 1

(68/1182)^2 + (10/1182)^2 + (-1180/1182)^2 = 1

(70/1251)^2 + (10/1251)^2 + (-1249/1251)^2 = 1

(72/1322)^2 + (10/1322)^2 + (-1320/1322)^2 = 1

(74/1395)^2 + (10/1395)^2 + (-1393/1395)^2 = 1

(76/1470)^2 + (10/1470)^2 + (-1468/1470)^2 = 1

(78/1547)^2 + (10/1547)^2 + (-1545/1547)^2 = 1

(80/1626)^2 + (10/1626)^2 + (-1624/1626)^2 = 1

(82/1707)^2 + (10/1707)^2 + (-1705/1707)^2 = 1

(84/1790)^2 + (10/1790)^2 + (-1788/1790)^2 = 1

(86/1875)^2 + (10/1875)^2 + (-1873/1875)^2 = 1

(88/1962)^2 + (10/1962)^2 + (-1960/1962)^2 = 1

(90/2051)^2 + (10/2051)^2 + (-2049/2051)^2 = 1

(92/2142)^2 + (10/2142)^2 + (-2140/2142)^2 = 1

(94/2235)^2 + (10/2235)^2 + (-2233/2235)^2 = 1

(96/2330)^2 + (10/2330)^2 + (-2328/2330)^2 = 1

(98/2427)^2 + (10/2427)^2 + (-2425/2427)^2 = 1

(100/2526)^2 + (10/2526)^2 + (-2524/2526)^2 = 1

(102/2627)^2 + (10/2627)^2 + (-2625/2627)^2 = 1

(104/2730)^2 + (10/2730)^2 + (-2728/2730)^2 = 1

(106/2835)^2 + (10/2835)^2 + (-2833/2835)^2 = 1

(108/2942)^2 + (10/2942)^2 + (-2940/2942)^2 = 1

(110/3051)^2 + (10/3051)^2 + (-3049/3051)^2 = 1

(112/3162)^2 + (10/3162)^2 + (-3160/3162)^2 = 1

(114/3275)^2 + (10/3275)^2 + (-3273/3275)^2 = 1

(116/3390)^2 + (10/3390)^2 + (-3388/3390)^2 = 1

(118/3507)^2 + (10/3507)^2 + (-3505/3507)^2 = 1

(120/3626)^2 + (10/3626)^2 + (-3624/3626)^2 = 1

(122/3747)^2 + (10/3747)^2 + (-3745/3747)^2 = 1

(124/3870)^2 + (10/3870)^2 + (-3868/3870)^2 = 1

(126/3995)^2 + (10/3995)^2 + (-3993/3995)^2 = 1

(128/4122)^2 + (10/4122)^2 + (-4120/4122)^2 = 1

(130/4251)^2 + (10/4251)^2 + (-4249/4251)^2 = 1

(132/4382)^2 + (10/4382)^2 + (-4380/4382)^2 = 1

(134/4515)^2 + (10/4515)^2 + (-4513/4515)^2 = 1

(136/4650)^2 + (10/4650)^2 + (-4648/4650)^2 = 1

(138/4787)^2 + (10/4787)^2 + (-4785/4787)^2 = 1

(140/4926)^2 + (10/4926)^2 + (-4924/4926)^2 = 1

(142/5067)^2 + (10/5067)^2 + (-5065/5067)^2 = 1

(144/5210)^2 + (10/5210)^2 + (-5208/5210)^2 = 1

(146/5355)^2 + (10/5355)^2 + (-5353/5355)^2 = 1

(148/5502)^2 + (10/5502)^2 + (-5500/5502)^2 = 1

(150/5651)^2 + (10/5651)^2 + (-5649/5651)^2 = 1

(152/5802)^2 + (10/5802)^2 + (-5800/5802)^2 = 1

(154/5955)^2 + (10/5955)^2 + (-5953/5955)^2 = 1

(156/6110)^2 + (10/6110)^2 + (-6108/6110)^2 = 1

(158/6267)^2 + (10/6267)^2 + (-6265/6267)^2 = 1

(160/6426)^2 + (10/6426)^2 + (-6424/6426)^2 = 1

(162/6587)^2 + (10/6587)^2 + (-6585/6587)^2 = 1

(164/6750)^2 + (10/6750)^2 + (-6748/6750)^2 = 1

(166/6915)^2 + (10/6915)^2 + (-6913/6915)^2 = 1

(168/7082)^2 + (10/7082)^2 + (-7080/7082)^2 = 1

(170/7251)^2 + (10/7251)^2 + (-7249/7251)^2 = 1

(172/7422)^2 + (10/7422)^2 + (-7420/7422)^2 = 1

(174/7595)^2 + (10/7595)^2 + (-7593/7595)^2 = 1

(176/7770)^2 + (10/7770)^2 + (-7768/7770)^2 = 1

(178/7947)^2 + (10/7947)^2 + (-7945/7947)^2 = 1

(180/8126)^2 + (10/8126)^2 + (-8124/8126)^2 = 1

(182/8307)^2 + (10/8307)^2 + (-8305/8307)^2 = 1

(184/8490)^2 + (10/8490)^2 + (-8488/8490)^2 = 1

(186/8675)^2 + (10/8675)^2 + (-8673/8675)^2 = 1

(188/8862)^2 + (10/8862)^2 + (-8860/8862)^2 = 1

(190/9051)^2 + (10/9051)^2 + (-9049/9051)^2 = 1

(192/9242)^2 + (10/9242)^2 + (-9240/9242)^2 = 1

(194/9435)^2 + (10/9435)^2 + (-9433/9435)^2 = 1

(196/9630)^2 + (10/9630)^2 + (-9628/9630)^2 = 1

(198/9827)^2 + (10/9827)^2 + (-9825/9827)^2 = 1

(0/37)^2 + (12/37)^2 + (-35/37)^2 = 1

(2/38)^2 + (12/38)^2 + (-36/38)^2 = 1

(4/41)^2 + (12/41)^2 + (-39/41)^2 = 1

(6/46)^2 + (12/46)^2 + (-44/46)^2 = 1

(8/53)^2 + (12/53)^2 + (-51/53)^2 = 1

(10/62)^2 + (12/62)^2 + (-60/62)^2 = 1

(12/73)^2 + (12/73)^2 + (-71/73)^2 = 1

(14/86)^2 + (12/86)^2 + (-84/86)^2 = 1

(16/101)^2 + (12/101)^2 + (-99/101)^2 = 1

(18/118)^2 + (12/118)^2 + (-116/118)^2 = 1

(20/137)^2 + (12/137)^2 + (-135/137)^2 = 1

(22/158)^2 + (12/158)^2 + (-156/158)^2 = 1

(24/181)^2 + (12/181)^2 + (-179/181)^2 = 1

(26/206)^2 + (12/206)^2 + (-204/206)^2 = 1

(28/233)^2 + (12/233)^2 + (-231/233)^2 = 1

(30/262)^2 + (12/262)^2 + (-260/262)^2 = 1

(32/293)^2 + (12/293)^2 + (-291/293)^2 = 1

(34/326)^2 + (12/326)^2 + (-324/326)^2 = 1

(36/361)^2 + (12/361)^2 + (-359/361)^2 = 1

(38/398)^2 + (12/398)^2 + (-396/398)^2 = 1

(40/437)^2 + (12/437)^2 + (-435/437)^2 = 1

(42/478)^2 + (12/478)^2 + (-476/478)^2 = 1

(44/521)^2 + (12/521)^2 + (-519/521)^2 = 1

(46/566)^2 + (12/566)^2 + (-564/566)^2 = 1

(48/613)^2 + (12/613)^2 + (-611/613)^2 = 1

(50/662)^2 + (12/662)^2 + (-660/662)^2 = 1

(52/713)^2 + (12/713)^2 + (-711/713)^2 = 1

(54/766)^2 + (12/766)^2 + (-764/766)^2 = 1

(56/821)^2 + (12/821)^2 + (-819/821)^2 = 1

(58/878)^2 + (12/878)^2 + (-876/878)^2 = 1

(60/937)^2 + (12/937)^2 + (-935/937)^2 = 1

(62/998)^2 + (12/998)^2 + (-996/998)^2 = 1

(64/1061)^2 + (12/1061)^2 + (-1059/1061)^2 = 1

(66/1126)^2 + (12/1126)^2 + (-1124/1126)^2 = 1

(68/1193)^2 + (12/1193)^2 + (-1191/1193)^2 = 1

(70/1262)^2 + (12/1262)^2 + (-1260/1262)^2 = 1

(72/1333)^2 + (12/1333)^2 + (-1331/1333)^2 = 1

(74/1406)^2 + (12/1406)^2 + (-1404/1406)^2 = 1

(76/1481)^2 + (12/1481)^2 + (-1479/1481)^2 = 1

(78/1558)^2 + (12/1558)^2 + (-1556/1558)^2 = 1

(80/1637)^2 + (12/1637)^2 + (-1635/1637)^2 = 1

(82/1718)^2 + (12/1718)^2 + (-1716/1718)^2 = 1

(84/1801)^2 + (12/1801)^2 + (-1799/1801)^2 = 1

(86/1886)^2 + (12/1886)^2 + (-1884/1886)^2 = 1

(88/1973)^2 + (12/1973)^2 + (-1971/1973)^2 = 1

(90/2062)^2 + (12/2062)^2 + (-2060/2062)^2 = 1

(92/2153)^2 + (12/2153)^2 + (-2151/2153)^2 = 1

(94/2246)^2 + (12/2246)^2 + (-2244/2246)^2 = 1

(96/2341)^2 + (12/2341)^2 + (-2339/2341)^2 = 1

(98/2438)^2 + (12/2438)^2 + (-2436/2438)^2 = 1

(100/2537)^2 + (12/2537)^2 + (-2535/2537)^2 = 1

(102/2638)^2 + (12/2638)^2 + (-2636/2638)^2 = 1

(104/2741)^2 + (12/2741)^2 + (-2739/2741)^2 = 1

(106/2846)^2 + (12/2846)^2 + (-2844/2846)^2 = 1

(108/2953)^2 + (12/2953)^2 + (-2951/2953)^2 = 1

(110/3062)^2 + (12/3062)^2 + (-3060/3062)^2 = 1

(112/3173)^2 + (12/3173)^2 + (-3171/3173)^2 = 1

(114/3286)^2 + (12/3286)^2 + (-3284/3286)^2 = 1

(116/3401)^2 + (12/3401)^2 + (-3399/3401)^2 = 1

(118/3518)^2 + (12/3518)^2 + (-3516/3518)^2 = 1

(120/3637)^2 + (12/3637)^2 + (-3635/3637)^2 = 1

(122/3758)^2 + (12/3758)^2 + (-3756/3758)^2 = 1

(124/3881)^2 + (12/3881)^2 + (-3879/3881)^2 = 1

(126/4006)^2 + (12/4006)^2 + (-4004/4006)^2 = 1

(128/4133)^2 + (12/4133)^2 + (-4131/4133)^2 = 1

(130/4262)^2 + (12/4262)^2 + (-4260/4262)^2 = 1

(132/4393)^2 + (12/4393)^2 + (-4391/4393)^2 = 1

(134/4526)^2 + (12/4526)^2 + (-4524/4526)^2 = 1

(136/4661)^2 + (12/4661)^2 + (-4659/4661)^2 = 1

(138/4798)^2 + (12/4798)^2 + (-4796/4798)^2 = 1

(140/4937)^2 + (12/4937)^2 + (-4935/4937)^2 = 1

(142/5078)^2 + (12/5078)^2 + (-5076/5078)^2 = 1

(144/5221)^2 + (12/5221)^2 + (-5219/5221)^2 = 1

(146/5366)^2 + (12/5366)^2 + (-5364/5366)^2 = 1

(148/5513)^2 + (12/5513)^2 + (-5511/5513)^2 = 1

(150/5662)^2 + (12/5662)^2 + (-5660/5662)^2 = 1

(152/5813)^2 + (12/5813)^2 + (-5811/5813)^2 = 1

(154/5966)^2 + (12/5966)^2 + (-5964/5966)^2 = 1

(156/6121)^2 + (12/6121)^2 + (-6119/6121)^2 = 1

(158/6278)^2 + (12/6278)^2 + (-6276/6278)^2 = 1

(160/6437)^2 + (12/6437)^2 + (-6435/6437)^2 = 1

(162/6598)^2 + (12/6598)^2 + (-6596/6598)^2 = 1

(164/6761)^2 + (12/6761)^2 + (-6759/6761)^2 = 1

(166/6926)^2 + (12/6926)^2 + (-6924/6926)^2 = 1

(168/7093)^2 + (12/7093)^2 + (-7091/7093)^2 = 1

(170/7262)^2 + (12/7262)^2 + (-7260/7262)^2 = 1

(172/7433)^2 + (12/7433)^2 + (-7431/7433)^2 = 1

(174/7606)^2 + (12/7606)^2 + (-7604/7606)^2 = 1

(176/7781)^2 + (12/7781)^2 + (-7779/7781)^2 = 1

(178/7958)^2 + (12/7958)^2 + (-7956/7958)^2 = 1

(180/8137)^2 + (12/8137)^2 + (-8135/8137)^2 = 1

(182/8318)^2 + (12/8318)^2 + (-8316/8318)^2 = 1

(184/8501)^2 + (12/8501)^2 + (-8499/8501)^2 = 1

(186/8686)^2 + (12/8686)^2 + (-8684/8686)^2 = 1

(188/8873)^2 + (12/8873)^2 + (-8871/8873)^2 = 1

(190/9062)^2 + (12/9062)^2 + (-9060/9062)^2 = 1

(192/9253)^2 + (12/9253)^2 + (-9251/9253)^2 = 1

(194/9446)^2 + (12/9446)^2 + (-9444/9446)^2 = 1

(196/9641)^2 + (12/9641)^2 + (-9639/9641)^2 = 1

(198/9838)^2 + (12/9838)^2 + (-9836/9838)^2 = 1

(0/50)^2 + (14/50)^2 + (-48/50)^2 = 1

(2/51)^2 + (14/51)^2 + (-49/51)^2 = 1

(4/54)^2 + (14/54)^2 + (-52/54)^2 = 1

(6/59)^2 + (14/59)^2 + (-57/59)^2 = 1

(8/66)^2 + (14/66)^2 + (-64/66)^2 = 1

(10/75)^2 + (14/75)^2 + (-73/75)^2 = 1

(12/86)^2 + (14/86)^2 + (-84/86)^2 = 1

(14/99)^2 + (14/99)^2 + (-97/99)^2 = 1

(16/114)^2 + (14/114)^2 + (-112/114)^2 = 1

(18/131)^2 + (14/131)^2 + (-129/131)^2 = 1

(20/150)^2 + (14/150)^2 + (-148/150)^2 = 1

(22/171)^2 + (14/171)^2 + (-169/171)^2 = 1

(24/194)^2 + (14/194)^2 + (-192/194)^2 = 1

(26/219)^2 + (14/219)^2 + (-217/219)^2 = 1

(28/246)^2 + (14/246)^2 + (-244/246)^2 = 1

(30/275)^2 + (14/275)^2 + (-273/275)^2 = 1

(32/306)^2 + (14/306)^2 + (-304/306)^2 = 1

(34/339)^2 + (14/339)^2 + (-337/339)^2 = 1

(36/374)^2 + (14/374)^2 + (-372/374)^2 = 1

(38/411)^2 + (14/411)^2 + (-409/411)^2 = 1

(40/450)^2 + (14/450)^2 + (-448/450)^2 = 1

(42/491)^2 + (14/491)^2 + (-489/491)^2 = 1

(44/534)^2 + (14/534)^2 + (-532/534)^2 = 1

(46/579)^2 + (14/579)^2 + (-577/579)^2 = 1

(48/626)^2 + (14/626)^2 + (-624/626)^2 = 1

(50/675)^2 + (14/675)^2 + (-673/675)^2 = 1

(52/726)^2 + (14/726)^2 + (-724/726)^2 = 1

(54/779)^2 + (14/779)^2 + (-777/779)^2 = 1

(56/834)^2 + (14/834)^2 + (-832/834)^2 = 1

(58/891)^2 + (14/891)^2 + (-889/891)^2 = 1

(60/950)^2 + (14/950)^2 + (-948/950)^2 = 1

(62/1011)^2 + (14/1011)^2 + (-1009/1011)^2 = 1

(64/1074)^2 + (14/1074)^2 + (-1072/1074)^2 = 1

(66/1139)^2 + (14/1139)^2 + (-1137/1139)^2 = 1

(68/1206)^2 + (14/1206)^2 + (-1204/1206)^2 = 1

(70/1275)^2 + (14/1275)^2 + (-1273/1275)^2 = 1

(72/1346)^2 + (14/1346)^2 + (-1344/1346)^2 = 1

(74/1419)^2 + (14/1419)^2 + (-1417/1419)^2 = 1

(76/1494)^2 + (14/1494)^2 + (-1492/1494)^2 = 1

(78/1571)^2 + (14/1571)^2 + (-1569/1571)^2 = 1

(80/1650)^2 + (14/1650)^2 + (-1648/1650)^2 = 1

(82/1731)^2 + (14/1731)^2 + (-1729/1731)^2 = 1

(84/1814)^2 + (14/1814)^2 + (-1812/1814)^2 = 1

(86/1899)^2 + (14/1899)^2 + (-1897/1899)^2 = 1

(88/1986)^2 + (14/1986)^2 + (-1984/1986)^2 = 1

(90/2075)^2 + (14/2075)^2 + (-2073/2075)^2 = 1

(92/2166)^2 + (14/2166)^2 + (-2164/2166)^2 = 1

(94/2259)^2 + (14/2259)^2 + (-2257/2259)^2 = 1

(96/2354)^2 + (14/2354)^2 + (-2352/2354)^2 = 1

(98/2451)^2 + (14/2451)^2 + (-2449/2451)^2 = 1

(100/2550)^2 + (14/2550)^2 + (-2548/2550)^2 = 1

(102/2651)^2 + (14/2651)^2 + (-2649/2651)^2 = 1

(104/2754)^2 + (14/2754)^2 + (-2752/2754)^2 = 1

(106/2859)^2 + (14/2859)^2 + (-2857/2859)^2 = 1

(108/2966)^2 + (14/2966)^2 + (-2964/2966)^2 = 1

(110/3075)^2 + (14/3075)^2 + (-3073/3075)^2 = 1

(112/3186)^2 + (14/3186)^2 + (-3184/3186)^2 = 1

(114/3299)^2 + (14/3299)^2 + (-3297/3299)^2 = 1

(116/3414)^2 + (14/3414)^2 + (-3412/3414)^2 = 1

(118/3531)^2 + (14/3531)^2 + (-3529/3531)^2 = 1

(120/3650)^2 + (14/3650)^2 + (-3648/3650)^2 = 1

(122/3771)^2 + (14/3771)^2 + (-3769/3771)^2 = 1

(124/3894)^2 + (14/3894)^2 + (-3892/3894)^2 = 1

(126/4019)^2 + (14/4019)^2 + (-4017/4019)^2 = 1

(128/4146)^2 + (14/4146)^2 + (-4144/4146)^2 = 1

(130/4275)^2 + (14/4275)^2 + (-4273/4275)^2 = 1

(132/4406)^2 + (14/4406)^2 + (-4404/4406)^2 = 1

(134/4539)^2 + (14/4539)^2 + (-4537/4539)^2 = 1

(136/4674)^2 + (14/4674)^2 + (-4672/4674)^2 = 1

(138/4811)^2 + (14/4811)^2 + (-4809/4811)^2 = 1

(140/4950)^2 + (14/4950)^2 + (-4948/4950)^2 = 1

(142/5091)^2 + (14/5091)^2 + (-5089/5091)^2 = 1

(144/5234)^2 + (14/5234)^2 + (-5232/5234)^2 = 1

(146/5379)^2 + (14/5379)^2 + (-5377/5379)^2 = 1

(148/5526)^2 + (14/5526)^2 + (-5524/5526)^2 = 1

(150/5675)^2 + (14/5675)^2 + (-5673/5675)^2 = 1

(152/5826)^2 + (14/5826)^2 + (-5824/5826)^2 = 1

(154/5979)^2 + (14/5979)^2 + (-5977/5979)^2 = 1

(156/6134)^2 + (14/6134)^2 + (-6132/6134)^2 = 1

(158/6291)^2 + (14/6291)^2 + (-6289/6291)^2 = 1

(160/6450)^2 + (14/6450)^2 + (-6448/6450)^2 = 1

(162/6611)^2 + (14/6611)^2 + (-6609/6611)^2 = 1

(164/6774)^2 + (14/6774)^2 + (-6772/6774)^2 = 1

(166/6939)^2 + (14/6939)^2 + (-6937/6939)^2 = 1

(168/7106)^2 + (14/7106)^2 + (-7104/7106)^2 = 1

(170/7275)^2 + (14/7275)^2 + (-7273/7275)^2 = 1

(172/7446)^2 + (14/7446)^2 + (-7444/7446)^2 = 1

(174/7619)^2 + (14/7619)^2 + (-7617/7619)^2 = 1

(176/7794)^2 + (14/7794)^2 + (-7792/7794)^2 = 1

(178/7971)^2 + (14/7971)^2 + (-7969/7971)^2 = 1

(180/8150)^2 + (14/8150)^2 + (-8148/8150)^2 = 1

(182/8331)^2 + (14/8331)^2 + (-8329/8331)^2 = 1

(184/8514)^2 + (14/8514)^2 + (-8512/8514)^2 = 1

(186/8699)^2 + (14/8699)^2 + (-8697/8699)^2 = 1

(188/8886)^2 + (14/8886)^2 + (-8884/8886)^2 = 1

(190/9075)^2 + (14/9075)^2 + (-9073/9075)^2 = 1

(192/9266)^2 + (14/9266)^2 + (-9264/9266)^2 = 1

(194/9459)^2 + (14/9459)^2 + (-9457/9459)^2 = 1

(196/9654)^2 + (14/9654)^2 + (-9652/9654)^2 = 1

(198/9851)^2 + (14/9851)^2 + (-9849/9851)^2 = 1

(0/65)^2 + (16/65)^2 + (-63/65)^2 = 1

(2/66)^2 + (16/66)^2 + (-64/66)^2 = 1

(4/69)^2 + (16/69)^2 + (-67/69)^2 = 1

(6/74)^2 + (16/74)^2 + (-72/74)^2 = 1

(8/81)^2 + (16/81)^2 + (-79/81)^2 = 1

(10/90)^2 + (16/90)^2 + (-88/90)^2 = 1

(12/101)^2 + (16/101)^2 + (-99/101)^2 = 1

(14/114)^2 + (16/114)^2 + (-112/114)^2 = 1

(16/129)^2 + (16/129)^2 + (-127/129)^2 = 1

(18/146)^2 + (16/146)^2 + (-144/146)^2 = 1

(20/165)^2 + (16/165)^2 + (-163/165)^2 = 1

(22/186)^2 + (16/186)^2 + (-184/186)^2 = 1

(24/209)^2 + (16/209)^2 + (-207/209)^2 = 1

(26/234)^2 + (16/234)^2 + (-232/234)^2 = 1

(28/261)^2 + (16/261)^2 + (-259/261)^2 = 1

(30/290)^2 + (16/290)^2 + (-288/290)^2 = 1

(32/321)^2 + (16/321)^2 + (-319/321)^2 = 1

(34/354)^2 + (16/354)^2 + (-352/354)^2 = 1

(36/389)^2 + (16/389)^2 + (-387/389)^2 = 1

(38/426)^2 + (16/426)^2 + (-424/426)^2 = 1

(40/465)^2 + (16/465)^2 + (-463/465)^2 = 1

(42/506)^2 + (16/506)^2 + (-504/506)^2 = 1

(44/549)^2 + (16/549)^2 + (-547/549)^2 = 1

(46/594)^2 + (16/594)^2 + (-592/594)^2 = 1

(48/641)^2 + (16/641)^2 + (-639/641)^2 = 1

(50/690)^2 + (16/690)^2 + (-688/690)^2 = 1

(52/741)^2 + (16/741)^2 + (-739/741)^2 = 1

(54/794)^2 + (16/794)^2 + (-792/794)^2 = 1

(56/849)^2 + (16/849)^2 + (-847/849)^2 = 1

(58/906)^2 + (16/906)^2 + (-904/906)^2 = 1

(60/965)^2 + (16/965)^2 + (-963/965)^2 = 1

(62/1026)^2 + (16/1026)^2 + (-1024/1026)^2 = 1

(64/1089)^2 + (16/1089)^2 + (-1087/1089)^2 = 1

(66/1154)^2 + (16/1154)^2 + (-1152/1154)^2 = 1

(68/1221)^2 + (16/1221)^2 + (-1219/1221)^2 = 1

(70/1290)^2 + (16/1290)^2 + (-1288/1290)^2 = 1

(72/1361)^2 + (16/1361)^2 + (-1359/1361)^2 = 1

(74/1434)^2 + (16/1434)^2 + (-1432/1434)^2 = 1

(76/1509)^2 + (16/1509)^2 + (-1507/1509)^2 = 1

(78/1586)^2 + (16/1586)^2 + (-1584/1586)^2 = 1

(80/1665)^2 + (16/1665)^2 + (-1663/1665)^2 = 1

(82/1746)^2 + (16/1746)^2 + (-1744/1746)^2 = 1

(84/1829)^2 + (16/1829)^2 + (-1827/1829)^2 = 1

(86/1914)^2 + (16/1914)^2 + (-1912/1914)^2 = 1

(88/2001)^2 + (16/2001)^2 + (-1999/2001)^2 = 1

(90/2090)^2 + (16/2090)^2 + (-2088/2090)^2 = 1

(92/2181)^2 + (16/2181)^2 + (-2179/2181)^2 = 1

(94/2274)^2 + (16/2274)^2 + (-2272/2274)^2 = 1

(96/2369)^2 + (16/2369)^2 + (-2367/2369)^2 = 1

(98/2466)^2 + (16/2466)^2 + (-2464/2466)^2 = 1

(100/2565)^2 + (16/2565)^2 + (-2563/2565)^2 = 1

(102/2666)^2 + (16/2666)^2 + (-2664/2666)^2 = 1

(104/2769)^2 + (16/2769)^2 + (-2767/2769)^2 = 1

(106/2874)^2 + (16/2874)^2 + (-2872/2874)^2 = 1

(108/2981)^2 + (16/2981)^2 + (-2979/2981)^2 = 1

(110/3090)^2 + (16/3090)^2 + (-3088/3090)^2 = 1

(112/3201)^2 + (16/3201)^2 + (-3199/3201)^2 = 1

(114/3314)^2 + (16/3314)^2 + (-3312/3314)^2 = 1

(116/3429)^2 + (16/3429)^2 + (-3427/3429)^2 = 1

(118/3546)^2 + (16/3546)^2 + (-3544/3546)^2 = 1

(120/3665)^2 + (16/3665)^2 + (-3663/3665)^2 = 1

(122/3786)^2 + (16/3786)^2 + (-3784/3786)^2 = 1

(124/3909)^2 + (16/3909)^2 + (-3907/3909)^2 = 1

(126/4034)^2 + (16/4034)^2 + (-4032/4034)^2 = 1

(128/4161)^2 + (16/4161)^2 + (-4159/4161)^2 = 1

(130/4290)^2 + (16/4290)^2 + (-4288/4290)^2 = 1

(132/4421)^2 + (16/4421)^2 + (-4419/4421)^2 = 1

(134/4554)^2 + (16/4554)^2 + (-4552/4554)^2 = 1

(136/4689)^2 + (16/4689)^2 + (-4687/4689)^2 = 1

(138/4826)^2 + (16/4826)^2 + (-4824/4826)^2 = 1

(140/4965)^2 + (16/4965)^2 + (-4963/4965)^2 = 1

(142/5106)^2 + (16/5106)^2 + (-5104/5106)^2 = 1

(144/5249)^2 + (16/5249)^2 + (-5247/5249)^2 = 1

(146/5394)^2 + (16/5394)^2 + (-5392/5394)^2 = 1

(148/5541)^2 + (16/5541)^2 + (-5539/5541)^2 = 1

(150/5690)^2 + (16/5690)^2 + (-5688/5690)^2 = 1

(152/5841)^2 + (16/5841)^2 + (-5839/5841)^2 = 1

(154/5994)^2 + (16/5994)^2 + (-5992/5994)^2 = 1

(156/6149)^2 + (16/6149)^2 + (-6147/6149)^2 = 1

(158/6306)^2 + (16/6306)^2 + (-6304/6306)^2 = 1

(160/6465)^2 + (16/6465)^2 + (-6463/6465)^2 = 1

(162/6626)^2 + (16/6626)^2 + (-6624/6626)^2 = 1

(164/6789)^2 + (16/6789)^2 + (-6787/6789)^2 = 1

(166/6954)^2 + (16/6954)^2 + (-6952/6954)^2 = 1

(168/7121)^2 + (16/7121)^2 + (-7119/7121)^2 = 1

(170/7290)^2 + (16/7290)^2 + (-7288/7290)^2 = 1

(172/7461)^2 + (16/7461)^2 + (-7459/7461)^2 = 1

(174/7634)^2 + (16/7634)^2 + (-7632/7634)^2 = 1

(176/7809)^2 + (16/7809)^2 + (-7807/7809)^2 = 1

(178/7986)^2 + (16/7986)^2 + (-7984/7986)^2 = 1

(180/8165)^2 + (16/8165)^2 + (-8163/8165)^2 = 1

(182/8346)^2 + (16/8346)^2 + (-8344/8346)^2 = 1

(184/8529)^2 + (16/8529)^2 + (-8527/8529)^2 = 1

(186/8714)^2 + (16/8714)^2 + (-8712/8714)^2 = 1

(188/8901)^2 + (16/8901)^2 + (-8899/8901)^2 = 1

(190/9090)^2 + (16/9090)^2 + (-9088/9090)^2 = 1

(192/9281)^2 + (16/9281)^2 + (-9279/9281)^2 = 1

(194/9474)^2 + (16/9474)^2 + (-9472/9474)^2 = 1

(196/9669)^2 + (16/9669)^2 + (-9667/9669)^2 = 1

(198/9866)^2 + (16/9866)^2 + (-9864/9866)^2 = 1

(0/82)^2 + (18/82)^2 + (-80/82)^2 = 1

(2/83)^2 + (18/83)^2 + (-81/83)^2 = 1

(4/86)^2 + (18/86)^2 + (-84/86)^2 = 1

(6/91)^2 + (18/91)^2 + (-89/91)^2 = 1

(8/98)^2 + (18/98)^2 + (-96/98)^2 = 1

(10/107)^2 + (18/107)^2 + (-105/107)^2 = 1

(12/118)^2 + (18/118)^2 + (-116/118)^2 = 1

(14/131)^2 + (18/131)^2 + (-129/131)^2 = 1

(16/146)^2 + (18/146)^2 + (-144/146)^2 = 1

(18/163)^2 + (18/163)^2 + (-161/163)^2 = 1

(20/182)^2 + (18/182)^2 + (-180/182)^2 = 1

(22/203)^2 + (18/203)^2 + (-201/203)^2 = 1

(24/226)^2 + (18/226)^2 + (-224/226)^2 = 1

(26/251)^2 + (18/251)^2 + (-249/251)^2 = 1

(28/278)^2 + (18/278)^2 + (-276/278)^2 = 1

(30/307)^2 + (18/307)^2 + (-305/307)^2 = 1

(32/338)^2 + (18/338)^2 + (-336/338)^2 = 1

(34/371)^2 + (18/371)^2 + (-369/371)^2 = 1

(36/406)^2 + (18/406)^2 + (-404/406)^2 = 1

(38/443)^2 + (18/443)^2 + (-441/443)^2 = 1

(40/482)^2 + (18/482)^2 + (-480/482)^2 = 1

(42/523)^2 + (18/523)^2 + (-521/523)^2 = 1

(44/566)^2 + (18/566)^2 + (-564/566)^2 = 1

(46/611)^2 + (18/611)^2 + (-609/611)^2 = 1

(48/658)^2 + (18/658)^2 + (-656/658)^2 = 1

(50/707)^2 + (18/707)^2 + (-705/707)^2 = 1

(52/758)^2 + (18/758)^2 + (-756/758)^2 = 1

(54/811)^2 + (18/811)^2 + (-809/811)^2 = 1

(56/866)^2 + (18/866)^2 + (-864/866)^2 = 1

(58/923)^2 + (18/923)^2 + (-921/923)^2 = 1

(60/982)^2 + (18/982)^2 + (-980/982)^2 = 1

(62/1043)^2 + (18/1043)^2 + (-1041/1043)^2 = 1

(64/1106)^2 + (18/1106)^2 + (-1104/1106)^2 = 1

(66/1171)^2 + (18/1171)^2 + (-1169/1171)^2 = 1

(68/1238)^2 + (18/1238)^2 + (-1236/1238)^2 = 1

(70/1307)^2 + (18/1307)^2 + (-1305/1307)^2 = 1

(72/1378)^2 + (18/1378)^2 + (-1376/1378)^2 = 1

(74/1451)^2 + (18/1451)^2 + (-1449/1451)^2 = 1

(76/1526)^2 + (18/1526)^2 + (-1524/1526)^2 = 1

(78/1603)^2 + (18/1603)^2 + (-1601/1603)^2 = 1

(80/1682)^2 + (18/1682)^2 + (-1680/1682)^2 = 1

(82/1763)^2 + (18/1763)^2 + (-1761/1763)^2 = 1

(84/1846)^2 + (18/1846)^2 + (-1844/1846)^2 = 1

(86/1931)^2 + (18/1931)^2 + (-1929/1931)^2 = 1

(88/2018)^2 + (18/2018)^2 + (-2016/2018)^2 = 1

(90/2107)^2 + (18/2107)^2 + (-2105/2107)^2 = 1

(92/2198)^2 + (18/2198)^2 + (-2196/2198)^2 = 1

(94/2291)^2 + (18/2291)^2 + (-2289/2291)^2 = 1

(96/2386)^2 + (18/2386)^2 + (-2384/2386)^2 = 1

(98/2483)^2 + (18/2483)^2 + (-2481/2483)^2 = 1

(100/2582)^2 + (18/2582)^2 + (-2580/2582)^2 = 1

(102/2683)^2 + (18/2683)^2 + (-2681/2683)^2 = 1

(104/2786)^2 + (18/2786)^2 + (-2784/2786)^2 = 1

(106/2891)^2 + (18/2891)^2 + (-2889/2891)^2 = 1

(108/2998)^2 + (18/2998)^2 + (-2996/2998)^2 = 1

(110/3107)^2 + (18/3107)^2 + (-3105/3107)^2 = 1

(112/3218)^2 + (18/3218)^2 + (-3216/3218)^2 = 1

(114/3331)^2 + (18/3331)^2 + (-3329/3331)^2 = 1

(116/3446)^2 + (18/3446)^2 + (-3444/3446)^2 = 1

(118/3563)^2 + (18/3563)^2 + (-3561/3563)^2 = 1

(120/3682)^2 + (18/3682)^2 + (-3680/3682)^2 = 1

(122/3803)^2 + (18/3803)^2 + (-3801/3803)^2 = 1

(124/3926)^2 + (18/3926)^2 + (-3924/3926)^2 = 1

(126/4051)^2 + (18/4051)^2 + (-4049/4051)^2 = 1

(128/4178)^2 + (18/4178)^2 + (-4176/4178)^2 = 1

(130/4307)^2 + (18/4307)^2 + (-4305/4307)^2 = 1

(132/4438)^2 + (18/4438)^2 + (-4436/4438)^2 = 1

(134/4571)^2 + (18/4571)^2 + (-4569/4571)^2 = 1

(136/4706)^2 + (18/4706)^2 + (-4704/4706)^2 = 1

(138/4843)^2 + (18/4843)^2 + (-4841/4843)^2 = 1

(140/4982)^2 + (18/4982)^2 + (-4980/4982)^2 = 1

(142/5123)^2 + (18/5123)^2 + (-5121/5123)^2 = 1

(144/5266)^2 + (18/5266)^2 + (-5264/5266)^2 = 1

(146/5411)^2 + (18/5411)^2 + (-5409/5411)^2 = 1

(148/5558)^2 + (18/5558)^2 + (-5556/5558)^2 = 1

(150/5707)^2 + (18/5707)^2 + (-5705/5707)^2 = 1

(152/5858)^2 + (18/5858)^2 + (-5856/5858)^2 = 1

(154/6011)^2 + (18/6011)^2 + (-6009/6011)^2 = 1

(156/6166)^2 + (18/6166)^2 + (-6164/6166)^2 = 1

(158/6323)^2 + (18/6323)^2 + (-6321/6323)^2 = 1

(160/6482)^2 + (18/6482)^2 + (-6480/6482)^2 = 1

(162/6643)^2 + (18/6643)^2 + (-6641/6643)^2 = 1

(164/6806)^2 + (18/6806)^2 + (-6804/6806)^2 = 1

(166/6971)^2 + (18/6971)^2 + (-6969/6971)^2 = 1

(168/7138)^2 + (18/7138)^2 + (-7136/7138)^2 = 1

(170/7307)^2 + (18/7307)^2 + (-7305/7307)^2 = 1

(172/7478)^2 + (18/7478)^2 + (-7476/7478)^2 = 1

(174/7651)^2 + (18/7651)^2 + (-7649/7651)^2 = 1

(176/7826)^2 + (18/7826)^2 + (-7824/7826)^2 = 1

(178/8003)^2 + (18/8003)^2 + (-8001/8003)^2 = 1

(180/8182)^2 + (18/8182)^2 + (-8180/8182)^2 = 1

(182/8363)^2 + (18/8363)^2 + (-8361/8363)^2 = 1

(184/8546)^2 + (18/8546)^2 + (-8544/8546)^2 = 1

(186/8731)^2 + (18/8731)^2 + (-8729/8731)^2 = 1

(188/8918)^2 + (18/8918)^2 + (-8916/8918)^2 = 1

(190/9107)^2 + (18/9107)^2 + (-9105/9107)^2 = 1

(192/9298)^2 + (18/9298)^2 + (-9296/9298)^2 = 1

(194/9491)^2 + (18/9491)^2 + (-9489/9491)^2 = 1

(196/9686)^2 + (18/9686)^2 + (-9684/9686)^2 = 1

(198/9883)^2 + (18/9883)^2 + (-9881/9883)^2 = 1

(0/101)^2 + (20/101)^2 + (-99/101)^2 = 1

(2/102)^2 + (20/102)^2 + (-100/102)^2 = 1

(4/105)^2 + (20/105)^2 + (-103/105)^2 = 1

(6/110)^2 + (20/110)^2 + (-108/110)^2 = 1

(8/117)^2 + (20/117)^2 + (-115/117)^2 = 1

(10/126)^2 + (20/126)^2 + (-124/126)^2 = 1

(12/137)^2 + (20/137)^2 + (-135/137)^2 = 1

(14/150)^2 + (20/150)^2 + (-148/150)^2 = 1

(16/165)^2 + (20/165)^2 + (-163/165)^2 = 1

(18/182)^2 + (20/182)^2 + (-180/182)^2 = 1

(20/201)^2 + (20/201)^2 + (-199/201)^2 = 1

(22/222)^2 + (20/222)^2 + (-220/222)^2 = 1

(24/245)^2 + (20/245)^2 + (-243/245)^2 = 1

(26/270)^2 + (20/270)^2 + (-268/270)^2 = 1

(28/297)^2 + (20/297)^2 + (-295/297)^2 = 1

(30/326)^2 + (20/326)^2 + (-324/326)^2 = 1

(32/357)^2 + (20/357)^2 + (-355/357)^2 = 1

(34/390)^2 + (20/390)^2 + (-388/390)^2 = 1

(36/425)^2 + (20/425)^2 + (-423/425)^2 = 1

(38/462)^2 + (20/462)^2 + (-460/462)^2 = 1

(40/501)^2 + (20/501)^2 + (-499/501)^2 = 1

(42/542)^2 + (20/542)^2 + (-540/542)^2 = 1

(44/585)^2 + (20/585)^2 + (-583/585)^2 = 1

(46/630)^2 + (20/630)^2 + (-628/630)^2 = 1

(48/677)^2 + (20/677)^2 + (-675/677)^2 = 1

(50/726)^2 + (20/726)^2 + (-724/726)^2 = 1

(52/777)^2 + (20/777)^2 + (-775/777)^2 = 1

(54/830)^2 + (20/830)^2 + (-828/830)^2 = 1

(56/885)^2 + (20/885)^2 + (-883/885)^2 = 1

(58/942)^2 + (20/942)^2 + (-940/942)^2 = 1

(60/1001)^2 + (20/1001)^2 + (-999/1001)^2 = 1

(62/1062)^2 + (20/1062)^2 + (-1060/1062)^2 = 1

(64/1125)^2 + (20/1125)^2 + (-1123/1125)^2 = 1

(66/1190)^2 + (20/1190)^2 + (-1188/1190)^2 = 1

(68/1257)^2 + (20/1257)^2 + (-1255/1257)^2 = 1

(70/1326)^2 + (20/1326)^2 + (-1324/1326)^2 = 1

(72/1397)^2 + (20/1397)^2 + (-1395/1397)^2 = 1

(74/1470)^2 + (20/1470)^2 + (-1468/1470)^2 = 1

(76/1545)^2 + (20/1545)^2 + (-1543/1545)^2 = 1

(78/1622)^2 + (20/1622)^2 + (-1620/1622)^2 = 1

(80/1701)^2 + (20/1701)^2 + (-1699/1701)^2 = 1

(82/1782)^2 + (20/1782)^2 + (-1780/1782)^2 = 1

(84/1865)^2 + (20/1865)^2 + (-1863/1865)^2 = 1

(86/1950)^2 + (20/1950)^2 + (-1948/1950)^2 = 1

(88/2037)^2 + (20/2037)^2 + (-2035/2037)^2 = 1

(90/2126)^2 + (20/2126)^2 + (-2124/2126)^2 = 1

(92/2217)^2 + (20/2217)^2 + (-2215/2217)^2 = 1

(94/2310)^2 + (20/2310)^2 + (-2308/2310)^2 = 1

(96/2405)^2 + (20/2405)^2 + (-2403/2405)^2 = 1

(98/2502)^2 + (20/2502)^2 + (-2500/2502)^2 = 1

(100/2601)^2 + (20/2601)^2 + (-2599/2601)^2 = 1

(102/2702)^2 + (20/2702)^2 + (-2700/2702)^2 = 1

(104/2805)^2 + (20/2805)^2 + (-2803/2805)^2 = 1

(106/2910)^2 + (20/2910)^2 + (-2908/2910)^2 = 1

(108/3017)^2 + (20/3017)^2 + (-3015/3017)^2 = 1

(110/3126)^2 + (20/3126)^2 + (-3124/3126)^2 = 1

(112/3237)^2 + (20/3237)^2 + (-3235/3237)^2 = 1

(114/3350)^2 + (20/3350)^2 + (-3348/3350)^2 = 1

(116/3465)^2 + (20/3465)^2 + (-3463/3465)^2 = 1

(118/3582)^2 + (20/3582)^2 + (-3580/3582)^2 = 1

(120/3701)^2 + (20/3701)^2 + (-3699/3701)^2 = 1

(122/3822)^2 + (20/3822)^2 + (-3820/3822)^2 = 1

(124/3945)^2 + (20/3945)^2 + (-3943/3945)^2 = 1

(126/4070)^2 + (20/4070)^2 + (-4068/4070)^2 = 1

(128/4197)^2 + (20/4197)^2 + (-4195/4197)^2 = 1

(130/4326)^2 + (20/4326)^2 + (-4324/4326)^2 = 1

(132/4457)^2 + (20/4457)^2 + (-4455/4457)^2 = 1

(134/4590)^2 + (20/4590)^2 + (-4588/4590)^2 = 1

(136/4725)^2 + (20/4725)^2 + (-4723/4725)^2 = 1

(138/4862)^2 + (20/4862)^2 + (-4860/4862)^2 = 1

(140/5001)^2 + (20/5001)^2 + (-4999/5001)^2 = 1

(142/5142)^2 + (20/5142)^2 + (-5140/5142)^2 = 1

(144/5285)^2 + (20/5285)^2 + (-5283/5285)^2 = 1

(146/5430)^2 + (20/5430)^2 + (-5428/5430)^2 = 1

(148/5577)^2 + (20/5577)^2 + (-5575/5577)^2 = 1

(150/5726)^2 + (20/5726)^2 + (-5724/5726)^2 = 1

(152/5877)^2 + (20/5877)^2 + (-5875/5877)^2 = 1

(154/6030)^2 + (20/6030)^2 + (-6028/6030)^2 = 1

(156/6185)^2 + (20/6185)^2 + (-6183/6185)^2 = 1

(158/6342)^2 + (20/6342)^2 + (-6340/6342)^2 = 1

(160/6501)^2 + (20/6501)^2 + (-6499/6501)^2 = 1

(162/6662)^2 + (20/6662)^2 + (-6660/6662)^2 = 1

(164/6825)^2 + (20/6825)^2 + (-6823/6825)^2 = 1

(166/6990)^2 + (20/6990)^2 + (-6988/6990)^2 = 1

(168/7157)^2 + (20/7157)^2 + (-7155/7157)^2 = 1

(170/7326)^2 + (20/7326)^2 + (-7324/7326)^2 = 1

(172/7497)^2 + (20/7497)^2 + (-7495/7497)^2 = 1

(174/7670)^2 + (20/7670)^2 + (-7668/7670)^2 = 1

(176/7845)^2 + (20/7845)^2 + (-7843/7845)^2 = 1

(178/8022)^2 + (20/8022)^2 + (-8020/8022)^2 = 1

(180/8201)^2 + (20/8201)^2 + (-8199/8201)^2 = 1

(182/8382)^2 + (20/8382)^2 + (-8380/8382)^2 = 1

(184/8565)^2 + (20/8565)^2 + (-8563/8565)^2 = 1

(186/8750)^2 + (20/8750)^2 + (-8748/8750)^2 = 1

(188/8937)^2 + (20/8937)^2 + (-8935/8937)^2 = 1

(190/9126)^2 + (20/9126)^2 + (-9124/9126)^2 = 1

(192/9317)^2 + (20/9317)^2 + (-9315/9317)^2 = 1

(194/9510)^2 + (20/9510)^2 + (-9508/9510)^2 = 1

(196/9705)^2 + (20/9705)^2 + (-9703/9705)^2 = 1

(198/9902)^2 + (20/9902)^2 + (-9900/9902)^2 = 1

(0/122)^2 + (22/122)^2 + (-120/122)^2 = 1

(2/123)^2 + (22/123)^2 + (-121/123)^2 = 1

(4/126)^2 + (22/126)^2 + (-124/126)^2 = 1

(6/131)^2 + (22/131)^2 + (-129/131)^2 = 1

(8/138)^2 + (22/138)^2 + (-136/138)^2 = 1

(10/147)^2 + (22/147)^2 + (-145/147)^2 = 1

(12/158)^2 + (22/158)^2 + (-156/158)^2 = 1

(14/171)^2 + (22/171)^2 + (-169/171)^2 = 1

(16/186)^2 + (22/186)^2 + (-184/186)^2 = 1

(18/203)^2 + (22/203)^2 + (-201/203)^2 = 1

(20/222)^2 + (22/222)^2 + (-220/222)^2 = 1

(22/243)^2 + (22/243)^2 + (-241/243)^2 = 1

(24/266)^2 + (22/266)^2 + (-264/266)^2 = 1

(26/291)^2 + (22/291)^2 + (-289/291)^2 = 1

(28/318)^2 + (22/318)^2 + (-316/318)^2 = 1

(30/347)^2 + (22/347)^2 + (-345/347)^2 = 1

(32/378)^2 + (22/378)^2 + (-376/378)^2 = 1

(34/411)^2 + (22/411)^2 + (-409/411)^2 = 1

(36/446)^2 + (22/446)^2 + (-444/446)^2 = 1

(38/483)^2 + (22/483)^2 + (-481/483)^2 = 1

(40/522)^2 + (22/522)^2 + (-520/522)^2 = 1

(42/563)^2 + (22/563)^2 + (-561/563)^2 = 1

(44/606)^2 + (22/606)^2 + (-604/606)^2 = 1

(46/651)^2 + (22/651)^2 + (-649/651)^2 = 1

(48/698)^2 + (22/698)^2 + (-696/698)^2 = 1

(50/747)^2 + (22/747)^2 + (-745/747)^2 = 1

(52/798)^2 + (22/798)^2 + (-796/798)^2 = 1

(54/851)^2 + (22/851)^2 + (-849/851)^2 = 1

(56/906)^2 + (22/906)^2 + (-904/906)^2 = 1

(58/963)^2 + (22/963)^2 + (-961/963)^2 = 1

(60/1022)^2 + (22/1022)^2 + (-1020/1022)^2 = 1

(62/1083)^2 + (22/1083)^2 + (-1081/1083)^2 = 1

(64/1146)^2 + (22/1146)^2 + (-1144/1146)^2 = 1

(66/1211)^2 + (22/1211)^2 + (-1209/1211)^2 = 1

(68/1278)^2 + (22/1278)^2 + (-1276/1278)^2 = 1

(70/1347)^2 + (22/1347)^2 + (-1345/1347)^2 = 1

(72/1418)^2 + (22/1418)^2 + (-1416/1418)^2 = 1

(74/1491)^2 + (22/1491)^2 + (-1489/1491)^2 = 1

(76/1566)^2 + (22/1566)^2 + (-1564/1566)^2 = 1

(78/1643)^2 + (22/1643)^2 + (-1641/1643)^2 = 1

(80/1722)^2 + (22/1722)^2 + (-1720/1722)^2 = 1

(82/1803)^2 + (22/1803)^2 + (-1801/1803)^2 = 1

(84/1886)^2 + (22/1886)^2 + (-1884/1886)^2 = 1

(86/1971)^2 + (22/1971)^2 + (-1969/1971)^2 = 1

(88/2058)^2 + (22/2058)^2 + (-2056/2058)^2 = 1

(90/2147)^2 + (22/2147)^2 + (-2145/2147)^2 = 1

(92/2238)^2 + (22/2238)^2 + (-2236/2238)^2 = 1

(94/2331)^2 + (22/2331)^2 + (-2329/2331)^2 = 1

(96/2426)^2 + (22/2426)^2 + (-2424/2426)^2 = 1

(98/2523)^2 + (22/2523)^2 + (-2521/2523)^2 = 1

(100/2622)^2 + (22/2622)^2 + (-2620/2622)^2 = 1

(102/2723)^2 + (22/2723)^2 + (-2721/2723)^2 = 1

(104/2826)^2 + (22/2826)^2 + (-2824/2826)^2 = 1

(106/2931)^2 + (22/2931)^2 + (-2929/2931)^2 = 1

(108/3038)^2 + (22/3038)^2 + (-3036/3038)^2 = 1

(110/3147)^2 + (22/3147)^2 + (-3145/3147)^2 = 1

(112/3258)^2 + (22/3258)^2 + (-3256/3258)^2 = 1

(114/3371)^2 + (22/3371)^2 + (-3369/3371)^2 = 1

(116/3486)^2 + (22/3486)^2 + (-3484/3486)^2 = 1

(118/3603)^2 + (22/3603)^2 + (-3601/3603)^2 = 1

(120/3722)^2 + (22/3722)^2 + (-3720/3722)^2 = 1

(122/3843)^2 + (22/3843)^2 + (-3841/3843)^2 = 1

(124/3966)^2 + (22/3966)^2 + (-3964/3966)^2 = 1

(126/4091)^2 + (22/4091)^2 + (-4089/4091)^2 = 1

(128/4218)^2 + (22/4218)^2 + (-4216/4218)^2 = 1

(130/4347)^2 + (22/4347)^2 + (-4345/4347)^2 = 1

(132/4478)^2 + (22/4478)^2 + (-4476/4478)^2 = 1

(134/4611)^2 + (22/4611)^2 + (-4609/4611)^2 = 1

(136/4746)^2 + (22/4746)^2 + (-4744/4746)^2 = 1

(138/4883)^2 + (22/4883)^2 + (-4881/4883)^2 = 1

(140/5022)^2 + (22/5022)^2 + (-5020/5022)^2 = 1

(142/5163)^2 + (22/5163)^2 + (-5161/5163)^2 = 1

(144/5306)^2 + (22/5306)^2 + (-5304/5306)^2 = 1

(146/5451)^2 + (22/5451)^2 + (-5449/5451)^2 = 1

(148/5598)^2 + (22/5598)^2 + (-5596/5598)^2 = 1

(150/5747)^2 + (22/5747)^2 + (-5745/5747)^2 = 1

(152/5898)^2 + (22/5898)^2 + (-5896/5898)^2 = 1

(154/6051)^2 + (22/6051)^2 + (-6049/6051)^2 = 1

(156/6206)^2 + (22/6206)^2 + (-6204/6206)^2 = 1

(158/6363)^2 + (22/6363)^2 + (-6361/6363)^2 = 1

(160/6522)^2 + (22/6522)^2 + (-6520/6522)^2 = 1

(162/6683)^2 + (22/6683)^2 + (-6681/6683)^2 = 1

(164/6846)^2 + (22/6846)^2 + (-6844/6846)^2 = 1

(166/7011)^2 + (22/7011)^2 + (-7009/7011)^2 = 1

(168/7178)^2 + (22/7178)^2 + (-7176/7178)^2 = 1

(170/7347)^2 + (22/7347)^2 + (-7345/7347)^2 = 1

(172/7518)^2 + (22/7518)^2 + (-7516/7518)^2 = 1

(174/7691)^2 + (22/7691)^2 + (-7689/7691)^2 = 1

(176/7866)^2 + (22/7866)^2 + (-7864/7866)^2 = 1

(178/8043)^2 + (22/8043)^2 + (-8041/8043)^2 = 1

(180/8222)^2 + (22/8222)^2 + (-8220/8222)^2 = 1

(182/8403)^2 + (22/8403)^2 + (-8401/8403)^2 = 1

(184/8586)^2 + (22/8586)^2 + (-8584/8586)^2 = 1

(186/8771)^2 + (22/8771)^2 + (-8769/8771)^2 = 1

(188/8958)^2 + (22/8958)^2 + (-8956/8958)^2 = 1

(190/9147)^2 + (22/9147)^2 + (-9145/9147)^2 = 1

(192/9338)^2 + (22/9338)^2 + (-9336/9338)^2 = 1

(194/9531)^2 + (22/9531)^2 + (-9529/9531)^2 = 1

(196/9726)^2 + (22/9726)^2 + (-9724/9726)^2 = 1

(198/9923)^2 + (22/9923)^2 + (-9921/9923)^2 = 1

(0/145)^2 + (24/145)^2 + (-143/145)^2 = 1

(2/146)^2 + (24/146)^2 + (-144/146)^2 = 1

(4/149)^2 + (24/149)^2 + (-147/149)^2 = 1

(6/154)^2 + (24/154)^2 + (-152/154)^2 = 1

(8/161)^2 + (24/161)^2 + (-159/161)^2 = 1

(10/170)^2 + (24/170)^2 + (-168/170)^2 = 1

(12/181)^2 + (24/181)^2 + (-179/181)^2 = 1

(14/194)^2 + (24/194)^2 + (-192/194)^2 = 1

(16/209)^2 + (24/209)^2 + (-207/209)^2 = 1

(18/226)^2 + (24/226)^2 + (-224/226)^2 = 1

(20/245)^2 + (24/245)^2 + (-243/245)^2 = 1

(22/266)^2 + (24/266)^2 + (-264/266)^2 = 1

(24/289)^2 + (24/289)^2 + (-287/289)^2 = 1

(26/314)^2 + (24/314)^2 + (-312/314)^2 = 1

(28/341)^2 + (24/341)^2 + (-339/341)^2 = 1

(30/370)^2 + (24/370)^2 + (-368/370)^2 = 1

(32/401)^2 + (24/401)^2 + (-399/401)^2 = 1

(34/434)^2 + (24/434)^2 + (-432/434)^2 = 1

(36/469)^2 + (24/469)^2 + (-467/469)^2 = 1

(38/506)^2 + (24/506)^2 + (-504/506)^2 = 1

(40/545)^2 + (24/545)^2 + (-543/545)^2 = 1

(42/586)^2 + (24/586)^2 + (-584/586)^2 = 1

(44/629)^2 + (24/629)^2 + (-627/629)^2 = 1

(46/674)^2 + (24/674)^2 + (-672/674)^2 = 1

(48/721)^2 + (24/721)^2 + (-719/721)^2 = 1

(50/770)^2 + (24/770)^2 + (-768/770)^2 = 1

(52/821)^2 + (24/821)^2 + (-819/821)^2 = 1

(54/874)^2 + (24/874)^2 + (-872/874)^2 = 1

(56/929)^2 + (24/929)^2 + (-927/929)^2 = 1

(58/986)^2 + (24/986)^2 + (-984/986)^2 = 1

(60/1045)^2 + (24/1045)^2 + (-1043/1045)^2 = 1

(62/1106)^2 + (24/1106)^2 + (-1104/1106)^2 = 1

(64/1169)^2 + (24/1169)^2 + (-1167/1169)^2 = 1

(66/1234)^2 + (24/1234)^2 + (-1232/1234)^2 = 1

(68/1301)^2 + (24/1301)^2 + (-1299/1301)^2 = 1

(70/1370)^2 + (24/1370)^2 + (-1368/1370)^2 = 1

(72/1441)^2 + (24/1441)^2 + (-1439/1441)^2 = 1

(74/1514)^2 + (24/1514)^2 + (-1512/1514)^2 = 1

(76/1589)^2 + (24/1589)^2 + (-1587/1589)^2 = 1

(78/1666)^2 + (24/1666)^2 + (-1664/1666)^2 = 1

(80/1745)^2 + (24/1745)^2 + (-1743/1745)^2 = 1

(82/1826)^2 + (24/1826)^2 + (-1824/1826)^2 = 1

(84/1909)^2 + (24/1909)^2 + (-1907/1909)^2 = 1

(86/1994)^2 + (24/1994)^2 + (-1992/1994)^2 = 1

(88/2081)^2 + (24/2081)^2 + (-2079/2081)^2 = 1

(90/2170)^2 + (24/2170)^2 + (-2168/2170)^2 = 1

(92/2261)^2 + (24/2261)^2 + (-2259/2261)^2 = 1

(94/2354)^2 + (24/2354)^2 + (-2352/2354)^2 = 1

(96/2449)^2 + (24/2449)^2 + (-2447/2449)^2 = 1

(98/2546)^2 + (24/2546)^2 + (-2544/2546)^2 = 1

(100/2645)^2 + (24/2645)^2 + (-2643/2645)^2 = 1

(102/2746)^2 + (24/2746)^2 + (-2744/2746)^2 = 1

(104/2849)^2 + (24/2849)^2 + (-2847/2849)^2 = 1

(106/2954)^2 + (24/2954)^2 + (-2952/2954)^2 = 1

(108/3061)^2 + (24/3061)^2 + (-3059/3061)^2 = 1

(110/3170)^2 + (24/3170)^2 + (-3168/3170)^2 = 1

(112/3281)^2 + (24/3281)^2 + (-3279/3281)^2 = 1

(114/3394)^2 + (24/3394)^2 + (-3392/3394)^2 = 1

(116/3509)^2 + (24/3509)^2 + (-3507/3509)^2 = 1

(118/3626)^2 + (24/3626)^2 + (-3624/3626)^2 = 1

(120/3745)^2 + (24/3745)^2 + (-3743/3745)^2 = 1

(122/3866)^2 + (24/3866)^2 + (-3864/3866)^2 = 1

(124/3989)^2 + (24/3989)^2 + (-3987/3989)^2 = 1

(126/4114)^2 + (24/4114)^2 + (-4112/4114)^2 = 1

(128/4241)^2 + (24/4241)^2 + (-4239/4241)^2 = 1

(130/4370)^2 + (24/4370)^2 + (-4368/4370)^2 = 1

(132/4501)^2 + (24/4501)^2 + (-4499/4501)^2 = 1

(134/4634)^2 + (24/4634)^2 + (-4632/4634)^2 = 1

(136/4769)^2 + (24/4769)^2 + (-4767/4769)^2 = 1

(138/4906)^2 + (24/4906)^2 + (-4904/4906)^2 = 1

(140/5045)^2 + (24/5045)^2 + (-5043/5045)^2 = 1

(142/5186)^2 + (24/5186)^2 + (-5184/5186)^2 = 1

(144/5329)^2 + (24/5329)^2 + (-5327/5329)^2 = 1

(146/5474)^2 + (24/5474)^2 + (-5472/5474)^2 = 1

(148/5621)^2 + (24/5621)^2 + (-5619/5621)^2 = 1

(150/5770)^2 + (24/5770)^2 + (-5768/5770)^2 = 1

(152/5921)^2 + (24/5921)^2 + (-5919/5921)^2 = 1

(154/6074)^2 + (24/6074)^2 + (-6072/6074)^2 = 1

(156/6229)^2 + (24/6229)^2 + (-6227/6229)^2 = 1

(158/6386)^2 + (24/6386)^2 + (-6384/6386)^2 = 1

(160/6545)^2 + (24/6545)^2 + (-6543/6545)^2 = 1

(162/6706)^2 + (24/6706)^2 + (-6704/6706)^2 = 1

(164/6869)^2 + (24/6869)^2 + (-6867/6869)^2 = 1

(166/7034)^2 + (24/7034)^2 + (-7032/7034)^2 = 1

(168/7201)^2 + (24/7201)^2 + (-7199/7201)^2 = 1

(170/7370)^2 + (24/7370)^2 + (-7368/7370)^2 = 1

(172/7541)^2 + (24/7541)^2 + (-7539/7541)^2 = 1

(174/7714)^2 + (24/7714)^2 + (-7712/7714)^2 = 1

(176/7889)^2 + (24/7889)^2 + (-7887/7889)^2 = 1

(178/8066)^2 + (24/8066)^2 + (-8064/8066)^2 = 1

(180/8245)^2 + (24/8245)^2 + (-8243/8245)^2 = 1

(182/8426)^2 + (24/8426)^2 + (-8424/8426)^2 = 1

(184/8609)^2 + (24/8609)^2 + (-8607/8609)^2 = 1

(186/8794)^2 + (24/8794)^2 + (-8792/8794)^2 = 1

(188/8981)^2 + (24/8981)^2 + (-8979/8981)^2 = 1

(190/9170)^2 + (24/9170)^2 + (-9168/9170)^2 = 1

(192/9361)^2 + (24/9361)^2 + (-9359/9361)^2 = 1

(194/9554)^2 + (24/9554)^2 + (-9552/9554)^2 = 1

(196/9749)^2 + (24/9749)^2 + (-9747/9749)^2 = 1

(198/9946)^2 + (24/9946)^2 + (-9944/9946)^2 = 1

(0/170)^2 + (26/170)^2 + (-168/170)^2 = 1

(2/171)^2 + (26/171)^2 + (-169/171)^2 = 1

(4/174)^2 + (26/174)^2 + (-172/174)^2 = 1

(6/179)^2 + (26/179)^2 + (-177/179)^2 = 1

(8/186)^2 + (26/186)^2 + (-184/186)^2 = 1

(10/195)^2 + (26/195)^2 + (-193/195)^2 = 1

(12/206)^2 + (26/206)^2 + (-204/206)^2 = 1

(14/219)^2 + (26/219)^2 + (-217/219)^2 = 1

(16/234)^2 + (26/234)^2 + (-232/234)^2 = 1

(18/251)^2 + (26/251)^2 + (-249/251)^2 = 1

(20/270)^2 + (26/270)^2 + (-268/270)^2 = 1

(22/291)^2 + (26/291)^2 + (-289/291)^2 = 1

(24/314)^2 + (26/314)^2 + (-312/314)^2 = 1

(26/339)^2 + (26/339)^2 + (-337/339)^2 = 1

(28/366)^2 + (26/366)^2 + (-364/366)^2 = 1

(30/395)^2 + (26/395)^2 + (-393/395)^2 = 1

(32/426)^2 + (26/426)^2 + (-424/426)^2 = 1

(34/459)^2 + (26/459)^2 + (-457/459)^2 = 1

(36/494)^2 + (26/494)^2 + (-492/494)^2 = 1

(38/531)^2 + (26/531)^2 + (-529/531)^2 = 1

(40/570)^2 + (26/570)^2 + (-568/570)^2 = 1

(42/611)^2 + (26/611)^2 + (-609/611)^2 = 1

(44/654)^2 + (26/654)^2 + (-652/654)^2 = 1

(46/699)^2 + (26/699)^2 + (-697/699)^2 = 1

(48/746)^2 + (26/746)^2 + (-744/746)^2 = 1

(50/795)^2 + (26/795)^2 + (-793/795)^2 = 1

(52/846)^2 + (26/846)^2 + (-844/846)^2 = 1

(54/899)^2 + (26/899)^2 + (-897/899)^2 = 1

(56/954)^2 + (26/954)^2 + (-952/954)^2 = 1

(58/1011)^2 + (26/1011)^2 + (-1009/1011)^2 = 1

(60/1070)^2 + (26/1070)^2 + (-1068/1070)^2 = 1

(62/1131)^2 + (26/1131)^2 + (-1129/1131)^2 = 1

(64/1194)^2 + (26/1194)^2 + (-1192/1194)^2 = 1

(66/1259)^2 + (26/1259)^2 + (-1257/1259)^2 = 1

(68/1326)^2 + (26/1326)^2 + (-1324/1326)^2 = 1

(70/1395)^2 + (26/1395)^2 + (-1393/1395)^2 = 1

(72/1466)^2 + (26/1466)^2 + (-1464/1466)^2 = 1

(74/1539)^2 + (26/1539)^2 + (-1537/1539)^2 = 1

(76/1614)^2 + (26/1614)^2 + (-1612/1614)^2 = 1

(78/1691)^2 + (26/1691)^2 + (-1689/1691)^2 = 1

(80/1770)^2 + (26/1770)^2 + (-1768/1770)^2 = 1

(82/1851)^2 + (26/1851)^2 + (-1849/1851)^2 = 1

(84/1934)^2 + (26/1934)^2 + (-1932/1934)^2 = 1

(86/2019)^2 + (26/2019)^2 + (-2017/2019)^2 = 1

(88/2106)^2 + (26/2106)^2 + (-2104/2106)^2 = 1

(90/2195)^2 + (26/2195)^2 + (-2193/2195)^2 = 1

(92/2286)^2 + (26/2286)^2 + (-2284/2286)^2 = 1

(94/2379)^2 + (26/2379)^2 + (-2377/2379)^2 = 1

(96/2474)^2 + (26/2474)^2 + (-2472/2474)^2 = 1

(98/2571)^2 + (26/2571)^2 + (-2569/2571)^2 = 1

(100/2670)^2 + (26/2670)^2 + (-2668/2670)^2 = 1

(102/2771)^2 + (26/2771)^2 + (-2769/2771)^2 = 1

(104/2874)^2 + (26/2874)^2 + (-2872/2874)^2 = 1

(106/2979)^2 + (26/2979)^2 + (-2977/2979)^2 = 1

(108/3086)^2 + (26/3086)^2 + (-3084/3086)^2 = 1

(110/3195)^2 + (26/3195)^2 + (-3193/3195)^2 = 1

(112/3306)^2 + (26/3306)^2 + (-3304/3306)^2 = 1

(114/3419)^2 + (26/3419)^2 + (-3417/3419)^2 = 1

(116/3534)^2 + (26/3534)^2 + (-3532/3534)^2 = 1

(118/3651)^2 + (26/3651)^2 + (-3649/3651)^2 = 1

(120/3770)^2 + (26/3770)^2 + (-3768/3770)^2 = 1

(122/3891)^2 + (26/3891)^2 + (-3889/3891)^2 = 1

(124/4014)^2 + (26/4014)^2 + (-4012/4014)^2 = 1

(126/4139)^2 + (26/4139)^2 + (-4137/4139)^2 = 1

(128/4266)^2 + (26/4266)^2 + (-4264/4266)^2 = 1

(130/4395)^2 + (26/4395)^2 + (-4393/4395)^2 = 1

(132/4526)^2 + (26/4526)^2 + (-4524/4526)^2 = 1

(134/4659)^2 + (26/4659)^2 + (-4657/4659)^2 = 1

(136/4794)^2 + (26/4794)^2 + (-4792/4794)^2 = 1

(138/4931)^2 + (26/4931)^2 + (-4929/4931)^2 = 1

(140/5070)^2 + (26/5070)^2 + (-5068/5070)^2 = 1

(142/5211)^2 + (26/5211)^2 + (-5209/5211)^2 = 1

(144/5354)^2 + (26/5354)^2 + (-5352/5354)^2 = 1

(146/5499)^2 + (26/5499)^2 + (-5497/5499)^2 = 1

(148/5646)^2 + (26/5646)^2 + (-5644/5646)^2 = 1

(150/5795)^2 + (26/5795)^2 + (-5793/5795)^2 = 1

(152/5946)^2 + (26/5946)^2 + (-5944/5946)^2 = 1

(154/6099)^2 + (26/6099)^2 + (-6097/6099)^2 = 1

(156/6254)^2 + (26/6254)^2 + (-6252/6254)^2 = 1

(158/6411)^2 + (26/6411)^2 + (-6409/6411)^2 = 1

(160/6570)^2 + (26/6570)^2 + (-6568/6570)^2 = 1

(162/6731)^2 + (26/6731)^2 + (-6729/6731)^2 = 1

(164/6894)^2 + (26/6894)^2 + (-6892/6894)^2 = 1

(166/7059)^2 + (26/7059)^2 + (-7057/7059)^2 = 1

(168/7226)^2 + (26/7226)^2 + (-7224/7226)^2 = 1

(170/7395)^2 + (26/7395)^2 + (-7393/7395)^2 = 1

(172/7566)^2 + (26/7566)^2 + (-7564/7566)^2 = 1

(174/7739)^2 + (26/7739)^2 + (-7737/7739)^2 = 1

(176/7914)^2 + (26/7914)^2 + (-7912/7914)^2 = 1

(178/8091)^2 + (26/8091)^2 + (-8089/8091)^2 = 1

(180/8270)^2 + (26/8270)^2 + (-8268/8270)^2 = 1

(182/8451)^2 + (26/8451)^2 + (-8449/8451)^2 = 1

(184/8634)^2 + (26/8634)^2 + (-8632/8634)^2 = 1

(186/8819)^2 + (26/8819)^2 + (-8817/8819)^2 = 1

(188/9006)^2 + (26/9006)^2 + (-9004/9006)^2 = 1

(190/9195)^2 + (26/9195)^2 + (-9193/9195)^2 = 1

(192/9386)^2 + (26/9386)^2 + (-9384/9386)^2 = 1

(194/9579)^2 + (26/9579)^2 + (-9577/9579)^2 = 1

(196/9774)^2 + (26/9774)^2 + (-9772/9774)^2 = 1

(198/9971)^2 + (26/9971)^2 + (-9969/9971)^2 = 1

(0/197)^2 + (28/197)^2 + (-195/197)^2 = 1

(2/198)^2 + (28/198)^2 + (-196/198)^2 = 1

(4/201)^2 + (28/201)^2 + (-199/201)^2 = 1

(6/206)^2 + (28/206)^2 + (-204/206)^2 = 1

(8/213)^2 + (28/213)^2 + (-211/213)^2 = 1

(10/222)^2 + (28/222)^2 + (-220/222)^2 = 1

(12/233)^2 + (28/233)^2 + (-231/233)^2 = 1

(14/246)^2 + (28/246)^2 + (-244/246)^2 = 1

(16/261)^2 + (28/261)^2 + (-259/261)^2 = 1

(18/278)^2 + (28/278)^2 + (-276/278)^2 = 1

(20/297)^2 + (28/297)^2 + (-295/297)^2 = 1

(22/318)^2 + (28/318)^2 + (-316/318)^2 = 1

(24/341)^2 + (28/341)^2 + (-339/341)^2 = 1

(26/366)^2 + (28/366)^2 + (-364/366)^2 = 1

(28/393)^2 + (28/393)^2 + (-391/393)^2 = 1

(30/422)^2 + (28/422)^2 + (-420/422)^2 = 1

(32/453)^2 + (28/453)^2 + (-451/453)^2 = 1

(34/486)^2 + (28/486)^2 + (-484/486)^2 = 1

(36/521)^2 + (28/521)^2 + (-519/521)^2 = 1

(38/558)^2 + (28/558)^2 + (-556/558)^2 = 1

(40/597)^2 + (28/597)^2 + (-595/597)^2 = 1

(42/638)^2 + (28/638)^2 + (-636/638)^2 = 1

(44/681)^2 + (28/681)^2 + (-679/681)^2 = 1

(46/726)^2 + (28/726)^2 + (-724/726)^2 = 1

(48/773)^2 + (28/773)^2 + (-771/773)^2 = 1

(50/822)^2 + (28/822)^2 + (-820/822)^2 = 1

(52/873)^2 + (28/873)^2 + (-871/873)^2 = 1

(54/926)^2 + (28/926)^2 + (-924/926)^2 = 1

(56/981)^2 + (28/981)^2 + (-979/981)^2 = 1

(58/1038)^2 + (28/1038)^2 + (-1036/1038)^2 = 1

(60/1097)^2 + (28/1097)^2 + (-1095/1097)^2 = 1

(62/1158)^2 + (28/1158)^2 + (-1156/1158)^2 = 1

(64/1221)^2 + (28/1221)^2 + (-1219/1221)^2 = 1

(66/1286)^2 + (28/1286)^2 + (-1284/1286)^2 = 1

(68/1353)^2 + (28/1353)^2 + (-1351/1353)^2 = 1

(70/1422)^2 + (28/1422)^2 + (-1420/1422)^2 = 1

(72/1493)^2 + (28/1493)^2 + (-1491/1493)^2 = 1

(74/1566)^2 + (28/1566)^2 + (-1564/1566)^2 = 1

(76/1641)^2 + (28/1641)^2 + (-1639/1641)^2 = 1

(78/1718)^2 + (28/1718)^2 + (-1716/1718)^2 = 1

(80/1797)^2 + (28/1797)^2 + (-1795/1797)^2 = 1

(82/1878)^2 + (28/1878)^2 + (-1876/1878)^2 = 1

(84/1961)^2 + (28/1961)^2 + (-1959/1961)^2 = 1

(86/2046)^2 + (28/2046)^2 + (-2044/2046)^2 = 1

(88/2133)^2 + (28/2133)^2 + (-2131/2133)^2 = 1

(90/2222)^2 + (28/2222)^2 + (-2220/2222)^2 = 1

(92/2313)^2 + (28/2313)^2 + (-2311/2313)^2 = 1

(94/2406)^2 + (28/2406)^2 + (-2404/2406)^2 = 1

(96/2501)^2 + (28/2501)^2 + (-2499/2501)^2 = 1

(98/2598)^2 + (28/2598)^2 + (-2596/2598)^2 = 1

(100/2697)^2 + (28/2697)^2 + (-2695/2697)^2 = 1

(102/2798)^2 + (28/2798)^2 + (-2796/2798)^2 = 1

(104/2901)^2 + (28/2901)^2 + (-2899/2901)^2 = 1

(106/3006)^2 + (28/3006)^2 + (-3004/3006)^2 = 1

(108/3113)^2 + (28/3113)^2 + (-3111/3113)^2 = 1

(110/3222)^2 + (28/3222)^2 + (-3220/3222)^2 = 1

(112/3333)^2 + (28/3333)^2 + (-3331/3333)^2 = 1

(114/3446)^2 + (28/3446)^2 + (-3444/3446)^2 = 1

(116/3561)^2 + (28/3561)^2 + (-3559/3561)^2 = 1

(118/3678)^2 + (28/3678)^2 + (-3676/3678)^2 = 1

(120/3797)^2 + (28/3797)^2 + (-3795/3797)^2 = 1

(122/3918)^2 + (28/3918)^2 + (-3916/3918)^2 = 1

(124/4041)^2 + (28/4041)^2 + (-4039/4041)^2 = 1

(126/4166)^2 + (28/4166)^2 + (-4164/4166)^2 = 1

(128/4293)^2 + (28/4293)^2 + (-4291/4293)^2 = 1

(130/4422)^2 + (28/4422)^2 + (-4420/4422)^2 = 1

(132/4553)^2 + (28/4553)^2 + (-4551/4553)^2 = 1

(134/4686)^2 + (28/4686)^2 + (-4684/4686)^2 = 1

(136/4821)^2 + (28/4821)^2 + (-4819/4821)^2 = 1

(138/4958)^2 + (28/4958)^2 + (-4956/4958)^2 = 1

(140/5097)^2 + (28/5097)^2 + (-5095/5097)^2 = 1

(142/5238)^2 + (28/5238)^2 + (-5236/5238)^2 = 1

(144/5381)^2 + (28/5381)^2 + (-5379/5381)^2 = 1

(146/5526)^2 + (28/5526)^2 + (-5524/5526)^2 = 1

(148/5673)^2 + (28/5673)^2 + (-5671/5673)^2 = 1

(150/5822)^2 + (28/5822)^2 + (-5820/5822)^2 = 1

(152/5973)^2 + (28/5973)^2 + (-5971/5973)^2 = 1

(154/6126)^2 + (28/6126)^2 + (-6124/6126)^2 = 1

(156/6281)^2 + (28/6281)^2 + (-6279/6281)^2 = 1

(158/6438)^2 + (28/6438)^2 + (-6436/6438)^2 = 1

(160/6597)^2 + (28/6597)^2 + (-6595/6597)^2 = 1

(162/6758)^2 + (28/6758)^2 + (-6756/6758)^2 = 1

(164/6921)^2 + (28/6921)^2 + (-6919/6921)^2 = 1

(166/7086)^2 + (28/7086)^2 + (-7084/7086)^2 = 1

(168/7253)^2 + (28/7253)^2 + (-7251/7253)^2 = 1

(170/7422)^2 + (28/7422)^2 + (-7420/7422)^2 = 1

(172/7593)^2 + (28/7593)^2 + (-7591/7593)^2 = 1

(174/7766)^2 + (28/7766)^2 + (-7764/7766)^2 = 1

(176/7941)^2 + (28/7941)^2 + (-7939/7941)^2 = 1

(178/8118)^2 + (28/8118)^2 + (-8116/8118)^2 = 1

(180/8297)^2 + (28/8297)^2 + (-8295/8297)^2 = 1

(182/8478)^2 + (28/8478)^2 + (-8476/8478)^2 = 1

(184/8661)^2 + (28/8661)^2 + (-8659/8661)^2 = 1

(186/8846)^2 + (28/8846)^2 + (-8844/8846)^2 = 1

(188/9033)^2 + (28/9033)^2 + (-9031/9033)^2 = 1

(190/9222)^2 + (28/9222)^2 + (-9220/9222)^2 = 1

(192/9413)^2 + (28/9413)^2 + (-9411/9413)^2 = 1

(194/9606)^2 + (28/9606)^2 + (-9604/9606)^2 = 1

(196/9801)^2 + (28/9801)^2 + (-9799/9801)^2 = 1

(198/9998)^2 + (28/9998)^2 + (-9996/9998)^2 = 1

(0/226)^2 + (30/226)^2 + (-224/226)^2 = 1

(2/227)^2 + (30/227)^2 + (-225/227)^2 = 1

(4/230)^2 + (30/230)^2 + (-228/230)^2 = 1

(6/235)^2 + (30/235)^2 + (-233/235)^2 = 1

(8/242)^2 + (30/242)^2 + (-240/242)^2 = 1

(10/251)^2 + (30/251)^2 + (-249/251)^2 = 1

(12/262)^2 + (30/262)^2 + (-260/262)^2 = 1

(14/275)^2 + (30/275)^2 + (-273/275)^2 = 1

(16/290)^2 + (30/290)^2 + (-288/290)^2 = 1

(18/307)^2 + (30/307)^2 + (-305/307)^2 = 1

(20/326)^2 + (30/326)^2 + (-324/326)^2 = 1

(22/347)^2 + (30/347)^2 + (-345/347)^2 = 1

(24/370)^2 + (30/370)^2 + (-368/370)^2 = 1

(26/395)^2 + (30/395)^2 + (-393/395)^2 = 1

(28/422)^2 + (30/422)^2 + (-420/422)^2 = 1

(30/451)^2 + (30/451)^2 + (-449/451)^2 = 1

(32/482)^2 + (30/482)^2 + (-480/482)^2 = 1

(34/515)^2 + (30/515)^2 + (-513/515)^2 = 1

(36/550)^2 + (30/550)^2 + (-548/550)^2 = 1

(38/587)^2 + (30/587)^2 + (-585/587)^2 = 1

(40/626)^2 + (30/626)^2 + (-624/626)^2 = 1

(42/667)^2 + (30/667)^2 + (-665/667)^2 = 1

(44/710)^2 + (30/710)^2 + (-708/710)^2 = 1

(46/755)^2 + (30/755)^2 + (-753/755)^2 = 1

(48/802)^2 + (30/802)^2 + (-800/802)^2 = 1

(50/851)^2 + (30/851)^2 + (-849/851)^2 = 1

(52/902)^2 + (30/902)^2 + (-900/902)^2 = 1

(54/955)^2 + (30/955)^2 + (-953/955)^2 = 1

(56/1010)^2 + (30/1010)^2 + (-1008/1010)^2 = 1

(58/1067)^2 + (30/1067)^2 + (-1065/1067)^2 = 1

(60/1126)^2 + (30/1126)^2 + (-1124/1126)^2 = 1

(62/1187)^2 + (30/1187)^2 + (-1185/1187)^2 = 1

(64/1250)^2 + (30/1250)^2 + (-1248/1250)^2 = 1

(66/1315)^2 + (30/1315)^2 + (-1313/1315)^2 = 1

(68/1382)^2 + (30/1382)^2 + (-1380/1382)^2 = 1

(70/1451)^2 + (30/1451)^2 + (-1449/1451)^2 = 1

(72/1522)^2 + (30/1522)^2 + (-1520/1522)^2 = 1

(74/1595)^2 + (30/1595)^2 + (-1593/1595)^2 = 1

(76/1670)^2 + (30/1670)^2 + (-1668/1670)^2 = 1

(78/1747)^2 + (30/1747)^2 + (-1745/1747)^2 = 1

(80/1826)^2 + (30/1826)^2 + (-1824/1826)^2 = 1

(82/1907)^2 + (30/1907)^2 + (-1905/1907)^2 = 1

(84/1990)^2 + (30/1990)^2 + (-1988/1990)^2 = 1

(86/2075)^2 + (30/2075)^2 + (-2073/2075)^2 = 1

(88/2162)^2 + (30/2162)^2 + (-2160/2162)^2 = 1

(90/2251)^2 + (30/2251)^2 + (-2249/2251)^2 = 1

(92/2342)^2 + (30/2342)^2 + (-2340/2342)^2 = 1

(94/2435)^2 + (30/2435)^2 + (-2433/2435)^2 = 1

(96/2530)^2 + (30/2530)^2 + (-2528/2530)^2 = 1

(98/2627)^2 + (30/2627)^2 + (-2625/2627)^2 = 1

(100/2726)^2 + (30/2726)^2 + (-2724/2726)^2 = 1

(102/2827)^2 + (30/2827)^2 + (-2825/2827)^2 = 1

(104/2930)^2 + (30/2930)^2 + (-2928/2930)^2 = 1

(106/3035)^2 + (30/3035)^2 + (-3033/3035)^2 = 1

(108/3142)^2 + (30/3142)^2 + (-3140/3142)^2 = 1

(110/3251)^2 + (30/3251)^2 + (-3249/3251)^2 = 1

(112/3362)^2 + (30/3362)^2 + (-3360/3362)^2 = 1

(114/3475)^2 + (30/3475)^2 + (-3473/3475)^2 = 1

(116/3590)^2 + (30/3590)^2 + (-3588/3590)^2 = 1

(118/3707)^2 + (30/3707)^2 + (-3705/3707)^2 = 1

(120/3826)^2 + (30/3826)^2 + (-3824/3826)^2 = 1

(122/3947)^2 + (30/3947)^2 + (-3945/3947)^2 = 1

(124/4070)^2 + (30/4070)^2 + (-4068/4070)^2 = 1

(126/4195)^2 + (30/4195)^2 + (-4193/4195)^2 = 1

(128/4322)^2 + (30/4322)^2 + (-4320/4322)^2 = 1

(130/4451)^2 + (30/4451)^2 + (-4449/4451)^2 = 1

(132/4582)^2 + (30/4582)^2 + (-4580/4582)^2 = 1

(134/4715)^2 + (30/4715)^2 + (-4713/4715)^2 = 1

(136/4850)^2 + (30/4850)^2 + (-4848/4850)^2 = 1

(138/4987)^2 + (30/4987)^2 + (-4985/4987)^2 = 1

(140/5126)^2 + (30/5126)^2 + (-5124/5126)^2 = 1

(142/5267)^2 + (30/5267)^2 + (-5265/5267)^2 = 1

(144/5410)^2 + (30/5410)^2 + (-5408/5410)^2 = 1

(146/5555)^2 + (30/5555)^2 + (-5553/5555)^2 = 1

(148/5702)^2 + (30/5702)^2 + (-5700/5702)^2 = 1

(150/5851)^2 + (30/5851)^2 + (-5849/5851)^2 = 1

(152/6002)^2 + (30/6002)^2 + (-6000/6002)^2 = 1

(154/6155)^2 + (30/6155)^2 + (-6153/6155)^2 = 1

(156/6310)^2 + (30/6310)^2 + (-6308/6310)^2 = 1

(158/6467)^2 + (30/6467)^2 + (-6465/6467)^2 = 1

(160/6626)^2 + (30/6626)^2 + (-6624/6626)^2 = 1

(162/6787)^2 + (30/6787)^2 + (-6785/6787)^2 = 1

(164/6950)^2 + (30/6950)^2 + (-6948/6950)^2 = 1

(166/7115)^2 + (30/7115)^2 + (-7113/7115)^2 = 1

(168/7282)^2 + (30/7282)^2 + (-7280/7282)^2 = 1

(170/7451)^2 + (30/7451)^2 + (-7449/7451)^2 = 1

(172/7622)^2 + (30/7622)^2 + (-7620/7622)^2 = 1

(174/7795)^2 + (30/7795)^2 + (-7793/7795)^2 = 1

(176/7970)^2 + (30/7970)^2 + (-7968/7970)^2 = 1

(178/8147)^2 + (30/8147)^2 + (-8145/8147)^2 = 1

(180/8326)^2 + (30/8326)^2 + (-8324/8326)^2 = 1

(182/8507)^2 + (30/8507)^2 + (-8505/8507)^2 = 1

(184/8690)^2 + (30/8690)^2 + (-8688/8690)^2 = 1

(186/8875)^2 + (30/8875)^2 + (-8873/8875)^2 = 1

(188/9062)^2 + (30/9062)^2 + (-9060/9062)^2 = 1

(190/9251)^2 + (30/9251)^2 + (-9249/9251)^2 = 1

(192/9442)^2 + (30/9442)^2 + (-9440/9442)^2 = 1

(194/9635)^2 + (30/9635)^2 + (-9633/9635)^2 = 1

(196/9830)^2 + (30/9830)^2 + (-9828/9830)^2 = 1

(198/10027)^2 + (30/10027)^2 + (-10025/10027)^2 = 1

(0/257)^2 + (32/257)^2 + (-255/257)^2 = 1

(2/258)^2 + (32/258)^2 + (-256/258)^2 = 1

(4/261)^2 + (32/261)^2 + (-259/261)^2 = 1

(6/266)^2 + (32/266)^2 + (-264/266)^2 = 1

(8/273)^2 + (32/273)^2 + (-271/273)^2 = 1

(10/282)^2 + (32/282)^2 + (-280/282)^2 = 1

(12/293)^2 + (32/293)^2 + (-291/293)^2 = 1

(14/306)^2 + (32/306)^2 + (-304/306)^2 = 1

(16/321)^2 + (32/321)^2 + (-319/321)^2 = 1

(18/338)^2 + (32/338)^2 + (-336/338)^2 = 1

(20/357)^2 + (32/357)^2 + (-355/357)^2 = 1

(22/378)^2 + (32/378)^2 + (-376/378)^2 = 1

(24/401)^2 + (32/401)^2 + (-399/401)^2 = 1

(26/426)^2 + (32/426)^2 + (-424/426)^2 = 1

(28/453)^2 + (32/453)^2 + (-451/453)^2 = 1

(30/482)^2 + (32/482)^2 + (-480/482)^2 = 1

(32/513)^2 + (32/513)^2 + (-511/513)^2 = 1

(34/546)^2 + (32/546)^2 + (-544/546)^2 = 1

(36/581)^2 + (32/581)^2 + (-579/581)^2 = 1

(38/618)^2 + (32/618)^2 + (-616/618)^2 = 1

(40/657)^2 + (32/657)^2 + (-655/657)^2 = 1

(42/698)^2 + (32/698)^2 + (-696/698)^2 = 1

(44/741)^2 + (32/741)^2 + (-739/741)^2 = 1

(46/786)^2 + (32/