### An Elliptic Curve over 29 ###

x:			0
y^2:		4
Solutions: (0, 4) and (0, 25)
QR of 4:	1
Coordinates: (0, 27) and (0, 2)

x:			1
y^2:		2
Solutions: (1, 2) and (1, 27)
QR of 2:	28
There is no solution for x = 1 as the QR is 28, which is equal to -1 mod 29

x:			2
y^2:		6
Solutions: (2, 6) and (2, 23)
QR of 6:	1
Coordinates: (2, 8) and (2, 21)

x:			3
y^2:		22
Solutions: (3, 22) and (3, 7)
QR of 22:	1
Coordinates: (3, 15) and (3, 14)

x:			4
y^2:		27
Solutions: (4, 27) and (4, 2)
QR of 27:	28
There is no solution for x = 4 as the QR is 28, which is equal to -1 mod 29

x:			5
y^2:		27
Solutions: (5, 27) and (5, 2)
QR of 27:	28
There is no solution for x = 5 as the QR is 28, which is equal to -1 mod 29

x:			6
y^2:		28
Solutions: (6, 28) and (6, 1)
QR of 28:	1
Coordinates: (6, 12) and (6, 17)

x:			7
y^2:		7
Solutions: (7, 7) and (7, 22)
QR of 7:	1
Coordinates: (7, 23) and (7, 6)

x:			8
y^2:		28
Solutions: (8, 28) and (8, 1)
QR of 28:	1
Coordinates: (8, 12) and (8, 17)

x:			9
y^2:		10
Solutions: (9, 10) and (9, 19)
QR of 10:	28
There is no solution for x = 9 as the QR is 28, which is equal to -1 mod 29

x:			10
y^2:		17
Solutions: (10, 17) and (10, 12)
QR of 17:	28
There is no solution for x = 10 as the QR is 28, which is equal to -1 mod 29

x:			11
y^2:		26
Solutions: (11, 26) and (11, 3)
QR of 26:	28
There is no solution for x = 11 as the QR is 28, which is equal to -1 mod 29

x:			12
y^2:		14
Solutions: (12, 14) and (12, 15)
QR of 14:	28
There is no solution for x = 12 as the QR is 28, which is equal to -1 mod 29

x:			13
y^2:		16
Solutions: (13, 16) and (13, 13)
QR of 16:	1
Coordinates: (13, 25) and (13, 4)

x:			14
y^2:		9
Solutions: (14, 9) and (14, 20)
QR of 9:	1
Coordinates: (14, 26) and (14, 3)

x:			15
y^2:		28
Solutions: (15, 28) and (15, 1)
QR of 28:	1
Coordinates: (15, 12) and (15, 17)

x:			16
y^2:		21
Solutions: (16, 21) and (16, 8)
QR of 21:	28
There is no solution for x = 16 as the QR is 28, which is equal to -1 mod 29

x:			17
y^2:		23
Solutions: (17, 23) and (17, 6)
QR of 23:	1
Coordinates: (17, 20) and (17, 9)

x:			18
y^2:		11
Solutions: (18, 11) and (18, 18)
QR of 11:	28
There is no solution for x = 18 as the QR is 28, which is equal to -1 mod 29

x:			19
y^2:		20
Solutions: (19, 20) and (19, 9)
QR of 20:	1
Coordinates: (19, 7) and (19, 22)

x:			20
y^2:		27
Solutions: (20, 27) and (20, 2)
QR of 27:	28
There is no solution for x = 20 as the QR is 28, which is equal to -1 mod 29

x:			21
y^2:		9
Solutions: (21, 9) and (21, 20)
QR of 9:	1
Coordinates: (21, 26) and (21, 3)

x:			22
y^2:		1
Solutions: (22, 1) and (22, 28)
QR of 1:	1
Coordinates: (22, 1) and (22, 28)

x:			23
y^2:		9
Solutions: (23, 9) and (23, 20)
QR of 9:	1
Coordinates: (23, 26) and (23, 3)

x:			24
y^2:		10
Solutions: (24, 10) and (24, 19)
QR of 10:	28
There is no solution for x = 24 as the QR is 28, which is equal to -1 mod 29

x:			25
y^2:		10
Solutions: (25, 10) and (25, 19)
QR of 10:	28
There is no solution for x = 25 as the QR is 28, which is equal to -1 mod 29

x:			26
y^2:		15
Solutions: (26, 15) and (26, 14)
QR of 15:	28
There is no solution for x = 26 as the QR is 28, which is equal to -1 mod 29

x:			27
y^2:		2
Solutions: (27, 2) and (27, 27)
QR of 2:	28
There is no solution for x = 27 as the QR is 28, which is equal to -1 mod 29

x:			28
y^2:		6
Solutions: (28, 6) and (28, 23)
QR of 6:	1
Coordinates: (28, 8) and (28, 21)

[(0, 27), (0, 2), (2, 8), (2, 21), (3, 15), (3, 14), (6, 12), (6, 17), (7, 23), (7, 6), (8, 12), (8, 17), (13, 25), (13, 4), (14, 26), (14, 3), (15, 12), (15, 17), (17, 20), (17, 9), (19, 7), (19, 22), (21, 26), (21, 3), (22, 1), (22, 28), (23, 26), (23, 3), (28, 8), (28, 21)]
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