Curves over Finite Fields with Diophantine Stability (DS-curves)

A curve over a finite field GF(q) of size q is a DS-curve for the proper extension GF(q^n)/GF(q) when the sets of its rational points over both fields coincide.

For curves of genus <=3 the following tables contain the complete list of isomorphism classes of DS-curves.

For curves of genus 4, the tables contain either the complete list of DS-curves (over the finite field of size 2) or the list of the candiadate Weil polynomials (otherwise).

To elaborate the tables we have made use of databases by Andrew Sutherland and Xavier Xarles on isomoprhism classes of curves over finite fields of small genus, as well as Everett Howe criteria on the indecomposability of Jacobians.

Genus 1

GF(4)/GF(2)	N
y^2+y = x^3+x	5

GF(8)/GF(2)	N
y^2+y = x^3+1	4
y^2+y = x^3+x	5

GF(9)/GF(3)	N
y^2 = x^3+2x+1	7

GF(16)/GF(4)	N
y^2+y = x^3	9

Genus 2

GF(4)/GF(2)	N
y^2+(x^2+x)y = x^5+x^3+x^2+x	3
y^2+xy = x^5+x	4
y^2+y = x^5+x^3	5
y^2+(x^3+x+1)y = x^5+x^4+x^3+x	6

GF(8)/GF(2)	N
y^2+y = x^5+x^3+1	1
y^2+xy = x^5+x^2+x	2
y^2+y = x^5+x^4	5

GF(9)/GF(3)	N
y^2 = x^5+2x^4+2x^3+2x	5

GF(27)/GF(3)	N
y^2 = x^6+x^4+x^2+1	8

GF(25)/GF(5)	N
y^2 = x^5+4x	6

Genus 3

GF(4)/GF(2)	N
y^2 +(x+x^2) y = x^7 + x^6 + x^5 + x	3
y^2 +(x+x^2) y = x^7 + x^6 + x^5 + x^4 + x^2 + x	3
y^2+x y = x^7 + x^6 + x^2 + x	4
y^2+xy = x^7 + x^6 + x^5 + x	4
y^2+(x^2+x^4)y = x^5 + x^4 + x^3 + x	4
y^2+y = x^7 + x^6	5
y^2 + (x^4+x^2+x+1)y = x^7 + x^5 + x^4 + x^3	5
y^2+(x^4+x^2+x)y= x^6 + x^3 + x^2 + x	5
y^2+(x^4+x+1)y= x^7 + x^5 + x^4 + x^3 + x^2 + x	6
x^4 + x^3 y + y^4 + x^2 y + y^3 + x + 1	0
x^4 + x^3 y + y^4 + x^3 + x	1
x^4 + x y^3 + y^4 + x^3 + x^2 y + x y^2 + x	1
x^3 y + x y^3 + y^4 + x^2 y + x	2
x^3 y + x y^3 + y^4 + x y^2 + x	2
x^4 + x^3 y + x y^3 + x^3 + x y^2 + y^2 + x	2
x^4 + x^2 y^2 + x y^3 + x^3 + x^2 y + y^2 + x	2
x^3 y + x^2 y^2 + x^2 y + y^3 + x	4
x^3 y + x^2 y^2 + x^3 + y^3 + y^2 + x	7

GF(8)/GF(2)	N
y^2+(x^2 + x + 1)y = x^7 + x^6 + x^5 + x^4 + x^3 + x + 1	1
y^2+(x^4 + x + 1)y = x^8 + x^5 + x + 1	2
y^2+(x^4 + x)y = x^8 + x^7 + x^5 + x	2
y^2+ x y = x^7 + x^2 + x	2
y^2+(x^4 + x^2)y = x^8 + x^4 + x^2 + x	2
y^2+(x^4 + x^2 + 1)y = x^2 + x + 1	2
y^2+(x^4 + x + 1)y = x^6 + x^5 + x^4 + x^3 + 1	2
y^2+(x^2 + x)y = x^7 + x^6 + x^5 + x	3
y^2+y = x^7	3
y^2+(x^2 + x + 1)y = x^7 + x^6 + x^5 + x^2 + x + 1	3
y^2+y = x^7 + x^6 + x^4 + 1	3
y^2+x y = x^7 + x^6 + x^5 + x	4
y^2+(x^4 + x + 1)y = x^6 + x^4 + x^3 + x^2 + x + 1	4
y^2+(x^3 + 1)y = x^7 + x^4	4
y^2+(x^4 + x^2)y = x^4 + x	4
y^2+(x^4 + x + 1)y = x^8 + x^4 + x^2 + x	4
y^2+(x^4 + x^2 + 1)y = x^4 + x	6
y^2+(x^4 + x + 1)y = x^6 + x^5 + x^3 + x	6
x^4 + x^2 y^2 + y^4 + x^2 y + x y^2 + x	3
x^2 y^2 + x^3 + y^3 + x^2 + x y + x	4
x^4 + x y^3 + x^2 y + y^2 + x	4
x^3 y + y^4 + x^3 + x	5
x^2 y^2 + y^4 + x^3 + x^2 y + x y^2 + x	5

GF(16)/GF(2)	N
x^3 y + x^2 y^2 + x^3 + y^3 + y^2 + x	7

GF(32)/GF(2)	N
y^2+(x^4 + x + 1)y = x^8 + x^6 + x^5 + x^4 + x^3 + x^2	4
y^2+(x^4 + x^2 + 1)y = x^4 + x	6
x^4 + x^2 y^2 + y^4 + x^2 y + x y^2 + x^2 + x y + y^2 + 1	0

GF(9)/GF(3)	N
y^2 = x^7 + 2 x^6 + x^5 + x^4 + x^3 + 2 x^2 + 1	5
y^2 = x^8 + 2 x^5 + 2 x^4 + 2 x^2 + 2 x	6
y^2= 2 x^7 + 2 x^4 + 2 x^3 + 2 x^2 + 1	6
y^2 = x^7 + x^6 + 2 x^5 + x^4 + x^3 + 2 x^2 + 2 x	6
y^2 = x^7 + 2 x^6 + 2 x^5 + x^3 + x^2 + 2 x + 1	7
y^2 = x^8 + 2 x^7 + x^6 + 2 x^3 + 2 x^2 + 1	7
y^2 = x^8 + 2 x^6 + x^4 + 2 x^3 + 2 x^2 + x + 1	8
x^4 - x^2 y^2 - y^4 + x^3 - x	1
x^4 + x^2 y^2 - y^4 + x^3 - x	1
x^4 - x^3 y - y^4 + x^3 - x y - x	1
x^4 - x^3 y - y^4 + x y^2 - x	2
x^4 + x^3 y - y^4 + x^3 - x^2 y + x y^2 - x	2
x^4 + x^3 y + x^2 y^2 + y^4 - x^2 + x y + x	2
x^4 + x^3 y - x y^3 + x^3 + x^2 y - y^2 - x	2
x^4 + x^3 y + x^2 y^2 - x y^3 - x^3 - x^2 - y^2 - x	2
y^4 - x^3 + x	4
x^3 y + y^4 - x y^2 + x	5
x^2 y^2 - y^4 + x^3 - x	10

GF(27)/GF(3)	N
y^2 = 2 x^8 + 2 x^7 + x^6 + 2 x^5 + x^4 + 2 x^2 + x + 2	3
y^2 = x^8 + 2 x^7 + 2 x^6 + 2 x^5 + x^2 + x	4
y^2 = x^7 + x^6 + 2 x^5 + x^4 + x^3 + x^2 + 2 x	4
y^2 = x^8 + x^4 + 2 x^2 + 1	4
y^2 = x^8 + 2 x^7 + 2 x^5 + 2 x^4 + x^3 + x + 1	8

GF(16)/GF(4)	N
y^2+(x^2 + x + 1)y = x^7 + x^6 + x^5 + x^3 + x^2 + x	7
y^2+(x^4 + x^2 + 1)y = x^5 + x^2	8
y^2+(x^4 + x^2 + x + 1)y = x^5 + x^3 + x^2 + x	9
a x^4+a x^3 y+a x^2 y^2+x+y^4	1
a x^4+a^2 x^3 y+a^2 x^2 y^2+x +y^4	1
a^2 x^4+a x^3 y+a x y^3+x +y^4	2
a x^4+a^2 x^3 y+a^2 x y^3+x+y^4	2
a^2 x^4+x^3 y+a x^2 y^2+a^2 x^2 y +x y^3+a x y^2 +x y +x +y^2	2
x^4+x^3+a x^2 y^2+a x^2 y+x y^3+a^2 x y^2+x y+x+y^2	2
x^3 y + x^2 y^2 + x^3 + y^3 + y^2 + x	7
x^4 + x y^3 + x^2 y + y^2 + x	14
x^4 + x^2 y^2 + y^4 + x^2 y + x y^2 + x^2 + x y + y^2 + 1	14

GF(25)/GF(5)	N
y^2 = x^7+x^5+3x^3+x	10

GF(81)/GF(9)	N
x^4+y^4+z^4	28

Genus 4

GF(4)/GF(2)

GF(8)/GF(2)

GF(16)/GF(2)

GF(32)/GF(2)

GF(9)/GF(3)

GF(27)/GF(3)

GF(16)/GF(4)

GF(64)/GF(4)

GF(25)/GF(5)

GF(49)/GF(7)

GF(64)/GF(8)

GF(81)/GF(9)

GF(4)/GF(2)	N
y^2 + (x^2 + x)*y = x^9 + x^5 + 1	3
y^2 + (x^3 + x)*y = x^9 + x^7 + x	3
y^2 + (x^2 + x)*y = x^9 + x^5 + x^4 + x	3
y^2 + (x^2)*y = x^9 + x	4
y^2 + x*y = x^9 + x^3 + x^2 + 1	4
y^2 + (x^4 + x^2 + x)*y = x^9 + x^8 + x^3 + x	4
y^2 + (x^4 + x^2 + x)*y = x^9 + x^3 + x^2 + x	4
y^2 + x*y = x^9 + x^7 + x^5 + 1	4
y^2 + (x^2)*y = x^9 + x^7 + x^5 + x^4 + x + 1	4
y^2 + x*y = x^9 + x^5 + x^3 + 1	4
y^2 + (x^2)*y = x^9 + x^7 + x^4 + x	4
y^2 + (x^2)*y = x^9 + x^5 + x + 1	4
y^2 + x*y = x^9 + x^7 + x^2 + 1	4
y^2 + y = x^9 + x^5	5
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^3 + x^2 + x	5
y^2 + (x^4 + x + 1)*y = x^9 + x	5
y^2 + (x^3 + x + 1)*y = x^9 + x^6 + x^2 + x	5
y^2 + y = x^9 + x^7	5
y^2 + (x^3 + x + 1)*y = x^9 + x^2	5
y^2 + (x^3 + x + 1)*y = x^9 + x^7 + x^6 + x^2	5
y^2 + (x^4 + x + 1)*y = x^9 + x^2	5
y^2 + y = x^9 + x	5
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^2	5
y^2 + (x^5 + x^2 + 1)*y = x^3 + x^2	6
y^2 + (x^5 + x^2 + 1)*y = x^4 + x^3 + x^2 + x	6
y^2 + (x^5 + x^2 + 1)*y = x^3 + x	6
y^2 + (x^5 + x^2 + 1)*y = x^4 + x^3	6
X^2 + XY + Y^2 + ZT XYT + X*Z^2 + Y^3 + Z^3 + T^3	0
XY + ZT X^3 + X^2Y + X^2T + XY^2 + XYT + XZ^2 + Y^3 + Y^2Z + Y^2T + Z^3 + T^3	0
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2Z + X^2T + XYZ + XT^2 + Y^3 + Y^2*Z + Z^3	1
X^2 + XY + Y^2 + ZT X^3 + X^2Z + XYT + XT^2 + Y*Z^2	2
XY + T^2 X^3 + X^2Z + X^2T + XYT + XZT + Y^2T + Z^3	2
XY + T^2 X^2T + XZT + Y^3 + Y^2*Z + Z^3	2
X^2 + XY + Y^2 + ZT X^2Y + X^2Z + X^2T + XY^2 + XYT + XT^2 + YZ^2	2
XY + T^2 X^2Z + XZT + Y^3 + Y^2*Z + Z^3	2
X^2 + XY + Y^2 + ZT X^3 + X^2Z + XY^2 + XYZ + XYT + XT^2 + YZ^2	2
XY + T^2 X^3 + X^2Y + X^2Z + XZT + Y^2Z + Y^2*T + Z^3	2
XY + T^2 X^3 + X^2Y + X^2Z + X^2T + XYZ + XYT + Y^2Z + Y^2T + Z^3	2
X^2 + XY + Y^2 + ZT X^2Y + X^2Z + XY^2 + XYT + XZ^2 + XT^2 + Y^2Z	2
XY + T^2 X^2Z + XYZ + XZT + Y^2*T + Z^3	3
X^2 + XY + Y^2 + ZT X^2Y + X^2T + XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	3
XY + ZT X^2T + XT^2 + Y^3 + Y^2*Z + Z^3	3
X^2 + XY + Y^2 + ZT X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^2*Z	3
X^2 + XY + Y^2 + ZT X^2T + XY^2 + XYZ + XT^2 + YZ^2	3
X^2 + XY + Y^2 + ZT X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^3 + Y^2*Z	3
XY + T^2 X^2Y + X^2T + XYT + Y^2T + Z^3	3
XY + T^2 X^3 + X^2Y + X^2Z + X^2T + XYZ + XZT + Y^2*T + Z^3	3
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^3	3
X^2 + XY + Y^2 + ZT X^2Z + XYZ + XYT + XZ^2 + X*T^2 + Y^3	3
XY + T^2 X^3 + X^2Z + X^2T + XYZ + XYT + XZT + Y^2Z + Y^2*T + Z^3	3
X^2 + XY + Y^2 + ZT X^2Z + X^2T + XY^2 + XYZ + XT^2 + Y*Z^2	3
XY + ZT X^2Z + XY^2 + XZ^2 + XT^2 + Y^3	4
XY + T^2 X^2T + XZT + Y^2*T + Z^3	4
XY + ZT X^2Y + X^2Z + XT^2 + Y^2T + Y*Z^2	4
XY + T^2 X^2Z + X^2T + XYZ + Y^3 + Y^2Z + Z^3	4
XY + T^2 X^2Y + X^2T + XYT + XZT + Y^2Z + Y^2*T + Z^3	4
XY + T^2 X^2Z + XY^2 + XYT + XZT + Y^3 + Y^2Z + Y^2*T + Z^3	4
X^2 + XY + Y^2 + ZT X^3 + X^2Z + XYT + XZ^2 + XT^2 + Y^2Z	4
X^2 + XY + Y^2 + ZT XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	4
XY + ZT X^2Z + XZ^2 + X*T^2 + Y^3	5
XY + ZT X^2T + XY^2 + XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + ZT X^2Y + X^2T + XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + ZT X^2Y + X^2T + XY^2 + XZ^2 + XT^2 + Y^3 + Y^2Z	5
XY + ZT X^2T + XY^2 + XYZ + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + ZT X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + T^2 X^2Z + XYZ + XYT + XZT + Y^2*T + Z^3	5
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2Z + XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + T^2 X^2T + XYZ + XZT + Y^2Z + Y^2T + Z^3 5	5
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + ZT X^2Z + X^2T + XY^2 + XYZ + XYT + XZ^2 + X*T^2 + Y^3	6
XY + ZT X^2Z + XYZ + XZ^2 + XT^2 + Y^3 + Y^2Z	6
XY + ZT X^2Z + XY^2 + XZ^2 + XT^2 + Y^3 + Y^2*Z	6
XY + ZT X^3 + X^2Y + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2*T	6
XY + ZT X^2Y + X^2Z + X^2T + XY^2 + XYZ + XT^2 + Y^2Z + Y^2T + YZ^2	6
XY + T^2 X^2Y + X^2Z + X^2T + XYZ + XYT + Y^2Z + Y^2T + Z^3	6
XY + ZT X^2Y + X^2Z + X^2T + XY^2 + XZ^2 + XT^2 + Y^2Z + Y^2T	7
XY + ZT X^2Z + X^2T + XY^2 + XYZ + XZ^2 + XT^2 + Y^2Z + Y^2*T	7
XY + ZT X^2Z + X^2T + XZ^2 + XT^2 + Y^3 + Y^2*Z	7
XY + ZT X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2T	7
XY + ZT X^2Y + X^2Z + X^2T + XYZ + XZ^2 + XT^2 + Y^2Z + Y^2*T	7
XY + ZT X^2Z + X^2T + XY^2 + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2*T	8

Back to Genus 4

GF(8)/GF(2)	N
y^2 + (x^5 + x^2 + 1)*y = x^10 + x^3 + 1	0
y^2 + (x^4 + x + 1)*y = x^9 + x + 1	1
y^2 + y = x^9 + x + 1	1
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^8 + x^2 + x + 1	1
y^2 + (x^4 + x^2 + 1)*y = x^9 + x + 1	1
y^2 + (x^2 + x + 1)*y = x^9 + x^7 + 1	1
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^2 + 1	1
y^2 + y = x^9 + x^5 + x^3 + x + 1	1
y^2 + (x^2)*y = x^9 + x^5 + x^4 + x + 1	2
y^2 + x*y = x^9 + x^7 + 1	2
y^2 + (x^5 + x^2 + 1)*y = x^10 + 1	2
y^2 + (x^3 + 1)*y = x^9 + x^6 + x^2 + 1	2
y^2 + (x^5 + x^2 + 1)*y = x^10 + x^4 + x^2	2
y^2 + (x^5 + x^2 + 1)*y = x^4 + x^3 + 1	2
y^2 + x*y = x^9 + x^5 + 1	2
y^2 + (x^2)*y = x^9 + x^7 + x^5 + x^4 + x	2
y^2 + (x^5 + x^2 + 1)*y = x^10 + x^3 + x^2	2
y^2 + (x^2 + x)*y = x^9 + x^5 + 1	3
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^8 + x^3 + x^2 + x	3
y^2 + y = x^9 + x^7 + x^3 + 1	3
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^2 + x + 1	3
y^2 + (x^4 + x^2 + 1)*y = x^9 + 1	3
y^2 + (x^2 + x)*y = x^9 + x^7 + x^5 + x^4 + x	3
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^8 + x^2 + 1	3
y^2 + y = x^9 + x^7 + x	3
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^3 + x^2	3
y^2 + (x^2)*y = x^9 + x	4
y^2 + x*y = x^9 + x^3 + x^2 + 1	4
y^2 + (x^3 + 1)*y = x^9 + x^6	4
y^2 + (x^5 + x^2 + 1)*y = x^2	4
y^2 + (x^5 + x^2 + 1)*y = x^4 + 1	4
y^2 + (x^3 + 1)*y = x^9 + x^2 + x	4
y^2 + (x^5 + x^2 + 1)*y = x^10 + x^4 + x^3 + x^2	4
y^2 + (x^2)*y = x^9 + x^7 + x + 1	4
y^2 + x*y = x^9 + x^7 + x^5 + x^3 + x^2 + 1	4
y^2 + (x^5 + x^2 + 1)*y = x^3 + 1	4
y^2 + y = x^9 + x^5	5
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^3 + x^2 + x	5
y^2 + (x^4 + x + 1)*y = x^9 + x	5
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^8 + x^3 + x^2	5
y^2 + y = x^9 + x^3	5
y^2 + (x^5 + x^2 + 1)*y = x^3 + x^2	6
y^2 + (x^5 + x^2 + 1)*y = x^4 + x^2	6
X^2 + XY + Y^2 + ZT XYT + X*Z^2 + Y^3 + Z^3 + T^3	0
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2Z + X^2T + XYZ + XT^2 + Y^3 + Y^2*T + Z^3	1
X^2 + XY + Y^2 + ZT X^3 + XY^2 + XYT + XT^2 + Y^2Z + Y^2T + Z^3	1
X^2 + XY + Y^2 + ZT X^3 + X^2Z + X^2T + XT^2 + Y^3 + Y^2T + Z^3	1
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2T + XY^2 + XZ^2 + X*T^2 + Z^3	1
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2Z + X^2T + XY^2 + XT^2 + Y^2Z + Y*Z^2 + Z^3	1
X^2 + XY + Y^2 + ZT X^3 + X^2Y + XY^2 + XYZ + XYT + XT^2 + Y^2Z + Y^2*T + Z^3	1
X^2 + XY + Y^2 + ZT X^3 + XY^2 + XYZ + XYT + XZ^2 + XT^2 + Y^2Z	2
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2T + XYZ + XYT + XT^2 + YZ^2 2	2
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2T + XT^2 + Y^3 + Y^2Z + Y*Z^2	2
X^2 + XY + Y^2 + ZT X^2T + XYZ + XZ^2 + XT^2 + Y^2Z	2
X^2 + XY + Y^2 + ZT X^3 + X^2Y + XY^2 + XYZ + XZ^2 + XT^2 + Y^2*Z	2
XY + T^2 X^2T + XYZ + XYT + XZT + Y^3 + Y^2*T + Z^3	3
XY + T^2 X^3 + X^2Y + X^2T + XYZ + XZ*T + Y^3 + Z^3	3
X^2 + XY + Y^2 + ZT X^2Z + XYZ + XYT + XZ^2 + XT^2 + Y^2Z + Y^2*T	3
XY + T^2 X^2Y + X^2T + XY^2 + XYZ + XYT + XZT + Y^3 + Y^2*T + Z^3	3
X^2 + XY + Y^2 + ZT X^2Z + X^2T + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2T	3
XY + T^2 X^3 + X^2Y + X^2T + XYZ + XYT + XZT + Y^2T + Z^3 3	3
X^2 + XY + Y^2 + ZT X^3 + X^2Z + X^2T + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2T	3
X^2 + XY + Y^2 + ZT X^2Z + X^2T + XYZ + XYT + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2T	3
XY + ZT X^3 + X^2Y + X^2T + XY^2 + XYZ + XYT + XT^2 + Y^3 + Y^2Z + YZ^2	3
XY + ZT X^3 + X^2Y + X^2Z + X^2T + XY^2 + XZ^2 + XT^2 + Y^3	3
X^2 + XY + Y^2 + ZT X^3 + XYZ + XYT + XZ^2 + XT^2 + Y^2Z + Y^2T	3
XY + T^2 X^2T + XYZ + Y^3 + Z^3	4
X^2 + XY + Y^2 + ZT XYZ + XZ^2 + XT^2 + Y^2*Z	4
XY + ZT X^3 + X^2Y + X^2Z + X^2T + XY^2 + XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	4
XY + T^2 X^3 + XZ*T + Y^3 + Z^3	4
XY + T^2 X^2Y + X^2Z + XYZ + XYT + XZT + Y^3 + Y^2T + Z^3	5
XY + ZT X^2Y + X^2Z + XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + ZT X^3 + XYZ + XYT + XZ^2 + XT^2 + Y^2Z + Y^2T	5
XY + ZT X^3 + X^2Y + X^2Z + X^2T + XY^2 + XZ^2 + XT^2 + Y^2Z + Y^2T + YZ^2 + YT^2	5
X^2 + XY + Y^2 + ZT X^2Y + X^2T + XY^2 + XT^2 + Y^2Z + YZ^2	5
XY + ZT X^2Z + X^2T + XY^2 + XYZ + XYT + XZ^2 + X*T^2 + Y^3	6
XY + ZT X^2Z + XYZ + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2*T	6
XY + ZT X^2Y + X^2Z + X^2T + XZ^2 + X*T^2 + Y^3	6
XY + ZT X^2Y + X^2Z + X^2T + XYZ + XYT + XZ^2 + XT^2 + Y^2Z + Y^2*T	6
XY + ZT X^2Y + X^2T + XY^2 + XYZ + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2*T	6
XY + ZT X^2Z + X^2T + XYZ + XZ^2 + XT^2 + Y^2T + YZ^2	6
XY + ZT X^2Y + X^2Z + X^2T + XY^2 + XZ^2 + XT^2 + Y^2Z + Y^2T	7
XY + ZT X^3 + XYZ + XYT + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2T	7
XY + ZT X^2Z + X^2T + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2T	7
XY + ZT X^2Z + XY^2 + XYZ + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2T	7
XY + ZT X^2Z + X^2T + XY^2 + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2*T	8

Back to Genus 4

GF(16)/GF(2)	N
XY + ZT X^2T + XT^2 + Y^3 + Y^2*Z + Z^3	3

Back to Genus 4

GF(32)/GF(2)	N
y^2 + y = x^9 + x^5 + 1	1
y^2 + (x^2 + x)*y = x^9 + x^5 + 1	3
y^2 + (x^2 + x + 1)*y = x^9 + x^7 + x^4 + x	5
XY + ZT X^3 + X^2Y + X^2Z + X^2T + XY^2 + XYZ + XYT + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2T + YZ^2 + YT^2	3
XY + T^2 X^2Y + X^2Z + X^2T + XYZ + XYT + Y^2Z + Y^2T + Z^3	6

Back to Genus 4

GF(9)/GF(3)	N
(T^2 - 3T + 3) (T^2 - T + 3) * (T^2 - 3)^2	0
T^8 - 4T^7 + 3T^6 + 11T^5 - 32T^4 + 33T^3 + 27T^2 - 108*T + 81	0
T^8 - 4T^7 + 3T^6 + 10T^5 - 29T^4 + 30T^3 + 27T^2 - 108*T + 81	0
(T^4 - 4T^3 + 8T^2 - 12T + 9) (T^4 - 5*T^2 + 9)	0
T^8 - 3T^7 + 9T^5 - 17T^4 + 27T^3 - 81*T + 81	1
(T^2 - 3T + 3) (T^2 + 3) * (T^2 - 3)^2	1
T^8 - 3T^7 + 8T^5 - 14T^4 + 24T^3 - 81*T + 81	1
T^8 - 3T^7 + 7T^5 - 11T^4 + 21T^3 - 81*T + 81	1
(T^4 - 3T^3 + 5T^2 - 9T + 9) (T^4 - 5*T^2 + 9)	1
T^8 - 3T^7 + 5T^5 - 4T^4 + 15T^3 - 81*T + 81	1
T^8 - 3T^7 + 3T^5 + 3T^4 + 9T^3 - 81*T + 81	1
(T^2 - 3T + 3) (T^6 + T^5 - 2T^4 - 3T^3 - 6T^2 + 9T + 27)	2
T^8 - 2T^7 - 2T^6 + 6T^5 - 4T^4 + 18T^3 - 18T^2 - 54*T + 81	2
T^8 - 2T^7 - 2T^6 + 6T^5 - 5T^4 + 18T^3 - 18T^2 - 54*T + 81	2
(T^2 - 3)^2 * (T^4 - 2T^3 + 4T^2 - 6*T + 9)	2
(T^2 - 3T + 3) (T^6 + T^5 - 2T^4 - 4T^3 - 6T^2 + 9T + 27)	2
T^8 - 2T^7 - 2T^6 + 5T^5 - T^4 + 15T^3 - 18T^2 - 54T + 81	2
T^8 - 2T^7 - 2T^6 + 5T^5 - 2T^4 + 15T^3 - 18T^2 - 54*T + 81	2
(T^2 - 3T + 3) (T^2 + T + 3) * (T^4 - 5*T^2 + 9)	2
T^8 - 2T^7 - 2T^6 + 4T^5 + 2T^4 + 12T^3 - 18T^2 - 54*T + 81	2
T^8 - 2T^7 - 2T^6 + 4T^5 + T^4 + 12T^3 - 18T^2 - 54T + 81	2
(T^2 - 3T + 3) (T^6 + T^5 - 2T^4 - 6T^3 - 6T^2 + 9T + 27)	2
T^8 - 2T^7 - 2T^6 + 3T^5 + 5T^4 + 9T^3 - 18T^2 - 54*T + 81	2
(T^4 - 2T^3 + 2T^2 - 6T + 9) (T^4 - 4*T^2 + 9)	2
(T^2 - 3T + 3) (T^6 + T^5 - 2T^4 - 7T^3 - 6T^2 + 9T + 27)	2
T^8 - 2T^7 - 2T^6 + 2T^5 + 8T^4 + 6T^3 - 18T^2 - 54*T + 81	2
T^8 - 2T^7 - 2T^6 + T^5 + 13T^4 + 3T^3 - 18T^2 - 54T + 81	2
(T^2 - 3T + 3) (T^6 + T^5 - 2T^4 - 8T^3 - 6T^2 + 9T + 27)	2
T^8 - 2T^7 - 2T^6 + 16T^4 - 18T^2 - 54*T + 81	2
(T^2 - 3T + 3) (T^2 + 3T + 3) (T^4 - 2T^3 + T^2 - 6T + 9)	2
T^8 - 2T^7 - 2T^6 - T^5 + 19T^4 - 3T^3 - 18T^2 - 54T + 81	2
T^8 - 2T^7 - 2T^6 - 2T^5 + 22T^4 - 6T^3 - 18T^2 - 54*T + 81	2
(T^4 - T^3 - 2T^2 - 3T + 9) * (T^4 - T^3 - T^2 - 3*T + 9)	2
(T^2 - 3T + 3) (T^6 + 2T^5 - 2T^3 + 18*T + 27)	3
T^8 - T^7 - 3T^6 + 4T^5 + 5T^4 + 12T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 4T^5 + 4T^4 + 12T^3 - 27T^2 - 27T + 81	3
(T^2 - 3T + 3) (T^6 + 2T^5 - 3T^3 + 18*T + 27)	3
T^8 - T^7 - 3T^6 + 3T^5 + 8T^4 + 9T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 3T^5 + 7T^4 + 9T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 3T^5 + 6T^4 + 9T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 3T^5 + 5T^4 + 9T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 3T^5 + 4T^4 + 9T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 3T^5 + 3T^4 + 9T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 3T^5 + 2T^4 + 9T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 3T^5 + T^4 + 9T^3 - 27T^2 - 27*T + 81	3
(T^2 - 3)^2 * (T^4 - T^3 + 3T^2 - 3T + 9)	3
(T^2 - 3T + 3) (T^6 + 2T^5 - 4T^3 + 18*T + 27)	3
T^8 - T^7 - 3T^6 + 2T^5 + 11T^4 + 6T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 2T^5 + 10T^4 + 6T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 2T^5 + 9T^4 + 6T^3 - 27T^2 - 27T + 81	3
(T^4 - T^3 + 2T^2 - 3T + 9) * (T^4 - 5*T^2 + 9)	3
T^8 - T^7 - 3T^6 + 2T^5 + 7T^4 + 6T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 2T^5 + 6T^4 + 6T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 2T^5 + 5T^4 + 6T^3 - 27T^2 - 27T + 81	3
(T^4 - 2T^3 + T^2 - 6T + 9) * (T^4 + T^3 - 2T^2 + 3T + 9)	3
(T^2 - 3T + 3) (T^6 + 2T^5 - 5T^3 + 18*T + 27)	3
(T^4 - T^3 + T^2 - 3T + 9) (T^4 - 4*T^2 + 9)	3
T^8 - T^7 - 3T^6 + T^5 + 13T^4 + 3T^3 - 27T^2 - 27*T + 81	3
T^8 - T^7 - 3T^6 + T^5 + 12T^4 + 3T^3 - 27T^2 - 27*T + 81	3
T^8 - T^7 - 3T^6 + T^5 + 11T^4 + 3T^3 - 27T^2 - 27*T + 81	3
T^8 - T^7 - 3T^6 + T^5 + 10T^4 + 3T^3 - 27T^2 - 27*T + 81	3
T^8 - T^7 - 3T^6 + T^5 + 9T^4 + 3T^3 - 27T^2 - 27*T + 81	3
T^8 - T^7 - 3T^6 + T^5 + 8T^4 + 3T^3 - 27T^2 - 27*T + 81	3
T^8 - T^7 - 3T^6 + T^5 + 7T^4 + 3T^3 - 27T^2 - 27*T + 81	3
(T^2 + 2T + 3) (T^2 + 3T + 3) (T^2 - 3*T + 3)^2	3
T^8 - T^7 - 3T^6 + 17T^4 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 16T^4 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 15T^4 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 14T^4 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 13T^4 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 12T^4 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 + 11T^4 - 27T^2 - 27T + 81	3
(T^2 - 3T + 3) (T^6 + 2T^5 - 7T^3 + 18*T + 27)	3
(T^4 - T^3 - T^2 - 3T + 9) (T^4 - 2*T^2 + 9)	3
T^8 - T^7 - 3T^6 - T^5 + 19T^4 - 3T^3 - 27T^2 - 27*T + 81	3
T^8 - T^7 - 3T^6 - T^5 + 18T^4 - 3T^3 - 27T^2 - 27*T + 81	3
T^8 - T^7 - 3T^6 - T^5 + 17T^4 - 3T^3 - 27T^2 - 27*T + 81	3
(T^2 + 2T + 3) (T^6 - 3T^5 + 8T^3 - 27*T + 27)	3
(T^2 + 3T + 3) (T^6 - 4T^5 + 6T^4 - 7T^3 + 18T^2 - 36*T + 27)	3
T^8 - T^7 - 3T^6 - T^5 + 14T^4 - 3T^3 - 27T^2 - 27*T + 81	3
(T^4 - T^3 - 2T^2 - 3T + 9) * (T^4 - T^2 + 9)	3
T^8 - T^7 - 3T^6 - 2T^5 + 19T^4 - 6T^3 - 27T^2 - 27T + 81	3
T^8 - T^7 - 3T^6 - 2T^5 + 18T^4 - 6T^3 - 27T^2 - 27T + 81	3
T^8 - 3T^6 + 3T^5 + 12T^4 + 9T^3 - 27*T^2 + 81	4
T^8 - 3T^6 + 3T^5 + 11T^4 + 9T^3 - 27*T^2 + 81	4
T^8 - 3T^6 + 2T^5 + 14T^4 + 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 + 2T^5 + 13T^4 + 6T^3 - 27*T^2 + 81	4
(T^2 - 3T + 3) (T^2 + 2T + 3) (T^4 + T^3 - 2T^2 + 3T + 9)	4
T^8 - 3T^6 + 2T^5 + 11T^4 + 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 + 2T^5 + 10T^4 + 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 + 2T^5 + 9T^4 + 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 + 2T^5 + 8T^4 + 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 + 2T^5 + 7T^4 + 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 + T^5 + 17T^4 + 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 + T^5 + 16T^4 + 3T^3 - 27T^2 + 81	4
(T^2 - 3T + 3) (T^6 + 3T^5 + 3T^4 + T^3 + 9T^2 + 27T + 27)	4
T^8 - 3T^6 + T^5 + 14T^4 + 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 + T^5 + 13T^4 + 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 + T^5 + 12T^4 + 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 + T^5 + 11T^4 + 3T^3 - 27T^2 + 81	4
(T^2 + 2T + 3) (T^6 - 2T^5 - 2T^4 + 11T^3 - 6T^2 - 18*T + 27)	4
T^8 - 3T^6 + T^5 + 9T^4 + 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 + T^5 + 8T^4 + 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 + T^5 + 7T^4 + 3T^3 - 27T^2 + 81	4
(T^2 - 2T + 3) (T^6 + 2T^5 - 2T^4 - 9T^3 - 6T^2 + 18*T + 27)	4
T^8 - 3T^6 + T^5 + 5T^4 + 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 + T^5 + 4T^4 + 3T^3 - 27T^2 + 81	4
(T^4 - 2T^2 + 9) (T^4 - T^2 + 9)	4
T^8 - 3T^6 + 19T^4 - 27*T^2 + 81	4
(T^2 - 3T + 3) (T^2 + 3T + 3) (T^4 + 9)	4
T^8 - 3T^6 + 17T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + 16T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + 15T^4 - 27*T^2 + 81	4
(T^4 - 4T^2 + 9) (T^4 + T^2 + 9)	4
(T^4 - T^3 - T^2 - 3T + 9) (T^4 + T^3 - T^2 + 3*T + 9)	4
T^8 - 3T^6 + 12T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + 11T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + 10T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + 9T^4 - 27*T^2 + 81	4
(T^2 - 2T + 3) (T^2 + 2T + 3) (T^4 - 5*T^2 + 9)	4
T^8 - 3T^6 + 7T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + 6T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + 5T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + 4T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + 3T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + 2T^4 - 27*T^2 + 81	4
T^8 - 3T^6 + T^4 - 27T^2 + 81	4
(T^2 - 3)^2 * (T^4 + 3*T^2 + 9)	4
T^8 - 3T^6 - T^5 + 17T^4 - 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 - T^5 + 16T^4 - 3T^3 - 27T^2 + 81	4
(T^2 + 3T + 3) (T^6 - 3T^5 + 3T^4 - T^3 + 9T^2 - 27T + 27)	4
T^8 - 3T^6 - T^5 + 14T^4 - 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 - T^5 + 13T^4 - 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 - T^5 + 12T^4 - 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 - T^5 + 11T^4 - 3T^3 - 27T^2 + 81	4
(T^2 - 2T + 3) (T^6 + 2T^5 - 2T^4 - 11T^3 - 6T^2 + 18*T + 27)	4
T^8 - 3T^6 - T^5 + 9T^4 - 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 - T^5 + 8T^4 - 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 - T^5 + 7T^4 - 3T^3 - 27T^2 + 81	4
(T^2 + 2T + 3) (T^6 - 2T^5 - 2T^4 + 9T^3 - 6T^2 - 18*T + 27)	4
T^8 - 3T^6 - T^5 + 5T^4 - 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 - T^5 + 4T^4 - 3T^3 - 27T^2 + 81	4
T^8 - 3T^6 - 2T^5 + 14T^4 - 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 - 2T^5 + 13T^4 - 6T^3 - 27*T^2 + 81	4
(T^2 - 2T + 3) (T^2 + 3T + 3) (T^4 - T^3 - 2T^2 - 3T + 9)	4
T^8 - 3T^6 - 2T^5 + 11T^4 - 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 - 2T^5 + 10T^4 - 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 - 2T^5 + 9T^4 - 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 - 2T^5 + 8T^4 - 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 - 2T^5 + 7T^4 - 6T^3 - 27*T^2 + 81	4
T^8 - 3T^6 - 3T^5 + 12T^4 - 9T^3 - 27*T^2 + 81	4
T^8 - 3T^6 - 3T^5 + 11T^4 - 9T^3 - 27*T^2 + 81	4
(T^4 + 9) * (T^4 + T^3 - 2T^2 + 3T + 9)	5
T^8 + T^7 - 2T^6 + 3T^5 + 17T^4 + 9T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 3T^5 + 16T^4 + 9T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 3T^5 + 15T^4 + 9T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 2T^5 + 20T^4 + 6T^3 - 18T^2 + 27T + 81	5
(T^4 - T^2 + 9) * (T^4 + T^3 - T^2 + 3*T + 9)	5
T^8 + T^7 - 2T^6 + 2T^5 + 18T^4 + 6T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 2T^5 + 17T^4 + 6T^3 - 18T^2 + 27T + 81	5
(T^2 - 2T + 3) (T^6 + 3T^5 + T^4 - 5T^3 + 3T^2 + 27T + 27)	5
T^8 + T^7 - 2T^6 + 2T^5 + 15T^4 + 6T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 2T^5 + 14T^4 + 6T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 2T^5 + 13T^4 + 6T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 2T^5 + 12T^4 + 6T^3 - 18T^2 + 27T + 81	5
(T^2 - 2T + 3) (T^2 + 3T + 3) (T^4 - 2*T^2 + 9)	5
T^8 + T^7 - 2T^6 + T^5 + 17T^4 + 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 + T^5 + 16T^4 + 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 + T^5 + 15T^4 + 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 + T^5 + 14T^4 + 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 + T^5 + 13T^4 + 3T^3 - 18T^2 + 27*T + 81	5
(T^2 - 3T + 3) (T^6 + 4T^5 + 7T^4 + 10T^3 + 21T^2 + 36*T + 27)	5
T^8 + T^7 - 2T^6 + T^5 + 11T^4 + 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 + T^5 + 10T^4 + 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 + T^5 + 9T^4 + 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 + T^5 + 8T^4 + 3T^3 - 18T^2 + 27*T + 81	5
(T^2 - 3T + 3) (T^2 + 3T + 3) (T^4 + T^3 + T^2 + 3*T + 9)	5
T^8 + T^7 - 2T^6 + 14T^4 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 13T^4 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 12T^4 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 11T^4 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 10T^4 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 9T^4 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 8T^4 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 7T^4 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 + 6T^4 - 18T^2 + 27T + 81	5
(T^4 - T^3 - T^2 - 3T + 9) (T^4 + 2T^3 + T^2 + 6T + 9)	5
(T^2 + 3T + 3) (T^6 - 2T^5 + T^4 + 2T^3 + 3T^2 - 18T + 27)	5
T^8 + T^7 - 2T^6 - T^5 + 11T^4 - 3T^3 - 18T^2 + 27*T + 81	5
(T^4 - 4T^2 + 9) (T^4 + T^3 + 2T^2 + 3T + 9)	5
T^8 + T^7 - 2T^6 - T^5 + 9T^4 - 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - T^5 + 8T^4 - 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - T^5 + 7T^4 - 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - T^5 + 6T^4 - 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - T^5 + 5T^4 - 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - T^5 + 4T^4 - 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - T^5 + 3T^4 - 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - T^5 + 2T^4 - 3T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - T^5 + T^4 - 3T^3 - 18T^2 + 27T + 81	5
(T^2 + 3T + 3) (T^6 - 2T^5 + T^4 + T^3 + 3T^2 - 18*T + 27)	5
T^8 + T^7 - 2T^6 - 2T^5 + 8T^4 - 6T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 2T^5 + 7T^4 - 6T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 2T^5 + 6T^4 - 6T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 2T^5 + 5T^4 - 6T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 2T^5 + 4T^4 - 6T^3 - 18T^2 + 27T + 81	5
(T^4 - 5T^2 + 9) (T^4 + T^3 + 3T^2 + 3T + 9)	5
T^8 + T^7 - 2T^6 - 2T^5 + 2T^4 - 6T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 2T^5 + T^4 - 6T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - 2T^5 - 6T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - 2T^5 - T^4 - 6T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - 2T^5 - 2T^4 - 6T^3 - 18T^2 + 27T + 81	5
(T^2 + 3T + 3) (T^6 - 2T^5 + T^4 + 3T^2 - 18*T + 27)	5
T^8 + T^7 - 2T^6 - 3T^5 + 5T^4 - 9T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 3T^5 + 4T^4 - 9T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 3T^5 + 3T^4 - 9T^3 - 18T^2 + 27T + 81	5
(T^4 - T^3 - 2T^2 - 3T + 9) * (T^4 + 2T^3 + 2T^2 + 6*T + 9)	5
T^8 + T^7 - 2T^6 - 3T^5 + T^4 - 9T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - 3T^5 - 9T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - 3T^5 - T^4 - 9T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - 3T^5 - 2T^4 - 9T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 3T^5 - 3T^4 - 9T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 3T^5 - 4T^4 - 9T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 3T^5 - 5T^4 - 9T^3 - 18T^2 + 27T + 81	5
(T^2 - T + 3) * (T^2 + 2T + 3) (T^2 - 3)^2	5
(T^2 + 3T + 3) (T^6 - 2T^5 + T^4 - T^3 + 3T^2 - 18*T + 27)	5
T^8 + T^7 - 2T^6 - 4T^5 + 2T^4 - 12T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 4T^5 + T^4 - 12T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - 4T^5 - 12T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - 4T^5 - T^4 - 12T^3 - 18T^2 + 27*T + 81	5
T^8 + T^7 - 2T^6 - 4T^5 - 2T^4 - 12T^3 - 18T^2 + 27T + 81	5
T^8 + T^7 - 2T^6 - 5T^5 + T^4 - 15T^3 - 18T^2 + 27*T + 81	5
(T^2 - 2T + 3) (T^2 + 3T + 3) (T^4 + T^3 - T^2 + 3*T + 9)	6
T^8 + 2T^7 + 5T^5 + 23T^4 + 15T^3 + 54*T + 81	6
(T^4 + T^3 - 2T^2 + 3T + 9) * (T^4 + T^3 + T^2 + 3*T + 9)	6
T^8 + 2T^7 + 5T^5 + 21T^4 + 15T^3 + 54*T + 81	6
(T^2 + 3T + 3) (T^6 - T^5 + 7T^3 - 9T + 27)	6
T^8 + 2T^7 + 4T^5 + 20T^4 + 12T^3 + 54*T + 81	6
T^8 + 2T^7 + 4T^5 + 19T^4 + 12T^3 + 54*T + 81	6
T^8 + 2T^7 + 4T^5 + 18T^4 + 12T^3 + 54*T + 81	6
(T^4 - T^2 + 9) * (T^4 + 2T^3 + T^2 + 6T + 9)	6
(T^2 + 3T + 3) (T^6 - T^5 + 6T^3 - 9T + 27)	6
T^8 + 2T^7 + 3T^5 + 17T^4 + 9T^3 + 54*T + 81	6
T^8 + 2T^7 + 3T^5 + 16T^4 + 9T^3 + 54*T + 81	6
T^8 + 2T^7 + 3T^5 + 15T^4 + 9T^3 + 54*T + 81	6
T^8 + 2T^7 + 3T^5 + 14T^4 + 9T^3 + 54*T + 81	6
(T^2 + 3T + 3) (T^6 - T^5 + 5T^3 - 9T + 27)	6
(T^4 - 2T^2 + 9) (T^4 + 2T^3 + 2T^2 + 6*T + 9)	6
T^8 + 2T^7 + 2T^5 + 13T^4 + 6T^3 + 54*T + 81	6
T^8 + 2T^7 + 2T^5 + 12T^4 + 6T^3 + 54*T + 81	6
T^8 + 2T^7 + 2T^5 + 11T^4 + 6T^3 + 54*T + 81	6
T^8 + 2T^7 + 2T^5 + 10T^4 + 6T^3 + 54*T + 81	6
(T^2 + 3T + 3) (T^6 - T^5 + 4T^3 - 9T + 27)	6
T^8 + 2T^7 + T^5 + 11T^4 + 3T^3 + 54T + 81	6
T^8 + 2T^7 + T^5 + 10T^4 + 3T^3 + 54T + 81	6
T^8 + 2T^7 + T^5 + 9T^4 + 3T^3 + 54T + 81	6
(T^2 - T + 3) * (T^6 + 3T^5 - 8T^3 + 27*T + 27)	6
T^8 + 2T^7 + T^5 + 7T^4 + 3T^3 + 54T + 81	6
(T^2 - 3T + 3) (T^2 - T + 3) * (T^2 + 3*T + 3)^2	6
T^8 + 2T^7 + 8T^4 + 54*T + 81	6
T^8 + 2T^7 + 7T^4 + 54*T + 81	6
T^8 + 2T^7 + 6T^4 + 54*T + 81	6
T^8 + 2T^7 + 5T^4 + 54*T + 81	6
T^8 + 2T^7 + 4T^4 + 54*T + 81	6
T^8 + 2T^7 + 3T^4 + 54*T + 81	6
(T^2 + 3T + 3) (T^6 - T^5 + 2T^3 - 9T + 27)	6
T^8 + 2T^7 - T^5 + 5T^4 - 3T^3 + 54T + 81	6
T^8 + 2T^7 - T^5 + 4T^4 - 3T^3 + 54T + 81	6
T^8 + 2T^7 - T^5 + 3T^4 - 3T^3 + 54T + 81	6
T^8 + 2T^7 - T^5 + 2T^4 - 3T^3 + 54T + 81	6
T^8 + 2T^7 - T^5 + T^4 - 3T^3 + 54*T + 81	6
T^8 + 2T^7 - T^5 - 3T^3 + 54*T + 81	6
(T^2 + 3T + 3) (T^6 - T^5 + T^3 - 9*T + 27)	6
(T^4 - 4T^2 + 9) (T^4 + 2T^3 + 4T^2 + 6*T + 9)	6
T^8 + 2T^7 - 2T^5 + T^4 - 6T^3 + 54T + 81	6
T^8 + 2T^7 - 2T^5 - 6T^3 + 54T + 81	6
T^8 + 2T^7 - 2T^5 - T^4 - 6T^3 + 54T + 81	6
T^8 + 2T^7 - 2T^5 - 2T^4 - 6T^3 + 54*T + 81	6
T^8 + 2T^7 - 2T^5 - 3T^4 - 6T^3 + 54*T + 81	6
T^8 + 2T^7 - 2T^5 - 4T^4 - 6T^3 + 54*T + 81	6
(T^2 + 3T + 3) (T^6 - T^5 - 9*T + 27)	6
T^8 + 2T^7 - 3T^5 - T^4 - 9T^3 + 54T + 81	6
T^8 + 2T^7 - 3T^5 - 2T^4 - 9T^3 + 54*T + 81	6
T^8 + 2T^7 - 3T^5 - 3T^4 - 9T^3 + 54*T + 81	6
T^8 + 2T^7 - 3T^5 - 4T^4 - 9T^3 + 54*T + 81	6
T^8 + 2T^7 - 3T^5 - 5T^4 - 9T^3 + 54*T + 81	6
T^8 + 2T^7 - 3T^5 - 6T^4 - 9T^3 + 54*T + 81	6
T^8 + 2T^7 - 3T^5 - 7T^4 - 9T^3 + 54*T + 81	6
(T^2 + 3T + 3) (T^6 - T^5 - T^3 - 9*T + 27)	6
T^8 + 2T^7 - 4T^5 - 4T^4 - 12T^3 + 54*T + 81	6
T^8 + 2T^7 - 4T^5 - 5T^4 - 12T^3 + 54*T + 81	6
T^8 + 2T^7 - 4T^5 - 6T^4 - 12T^3 + 54*T + 81	6
(T^4 - 5T^2 + 9) (T^4 + 2T^3 + 5T^2 + 6*T + 9)	6
T^8 + 2T^7 - 4T^5 - 8T^4 - 12T^3 + 54*T + 81	6
T^8 + 2T^7 - 4T^5 - 9T^4 - 12T^3 + 54*T + 81	6
T^8 + 2T^7 - 4T^5 - 10T^4 - 12T^3 + 54*T + 81	6
T^8 + 2T^7 - 4T^5 - 11T^4 - 12T^3 + 54*T + 81	6
(T^2 + 3T + 3) (T^6 - T^5 - 2T^3 - 9T + 27)	6
T^8 + 2T^7 - 5T^5 - 7T^4 - 15T^3 + 54*T + 81	6
T^8 + 2T^7 - 5T^5 - 8T^4 - 15T^3 + 54*T + 81	6
T^8 + 2T^7 - 5T^5 - 9T^4 - 15T^3 + 54*T + 81	6
(T^4 - T^3 - 2T^2 - 3T + 9) * (T^4 + 3T^3 + 5T^2 + 9*T + 9)	6
T^8 + 2T^7 - 5T^5 - 11T^4 - 15T^3 + 54*T + 81	6
T^8 + 2T^7 - 5T^5 - 12T^4 - 15T^3 + 54*T + 81	6
T^8 + 2T^7 - 5T^5 - 13T^4 - 15T^3 + 54*T + 81	6
T^8 + 2T^7 - 5T^5 - 14T^4 - 15T^3 + 54*T + 81	6
(T^2 + 3T + 3) (T^6 - T^5 - 3T^3 - 9T + 27)	6
T^8 + 2T^7 - 6T^5 - 10T^4 - 18T^3 + 54*T + 81	6
T^8 + 2T^7 - 6T^5 - 11T^4 - 18T^3 + 54*T + 81	6
T^8 + 2T^7 - 6T^5 - 12T^4 - 18T^3 + 54*T + 81	6
T^8 + 2T^7 - 6T^5 - 13T^4 - 18T^3 + 54*T + 81	6
T^8 + 2T^7 - 6T^5 - 14T^4 - 18T^3 + 54*T + 81	6
T^8 + 2T^7 - 6T^5 - 15T^4 - 18T^3 + 54*T + 81	6
T^8 + 2T^7 - 6T^5 - 16T^4 - 18T^3 + 54*T + 81	6
T^8 + 2T^7 - 6T^5 - 17T^4 - 18T^3 + 54*T + 81	6
(T^2 + 3) * (T^2 + 2T + 3) (T^2 - 3)^2	6
(T^2 + 3T + 3) (T^6 - T^5 - 4T^3 - 9T + 27)	6
T^8 + 2T^7 - 7T^5 - 13T^4 - 21T^3 + 54*T + 81	6
T^8 + 2T^7 - 7T^5 - 14T^4 - 21T^3 + 54*T + 81	6
T^8 + 3T^7 + 3T^6 + 10T^5 + 31T^4 + 30T^3 + 27T^2 + 81*T + 81	7
(T^2 - 2T + 3) (T^2 + 3T + 3) (T^4 + 2T^3 + T^2 + 6T + 9)	7
(T^4 + T^3 - T^2 + 3T + 9) (T^4 + 2T^3 + 2T^2 + 6*T + 9)	7
(T^2 + 3T + 3) (T^6 + 9*T^3 + 27)	7
(T^2 - T + 3) * (T^2 + 3T + 3) (T^4 + T^3 - 2T^2 + 3T + 9)	7
T^8 + 3T^7 + 3T^6 + 8T^5 + 23T^4 + 24T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 + 7*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 + 7T^5 + 20T^4 + 21T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 + 6*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 + 6T^5 + 17T^4 + 18T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 + 6T^5 + 16T^4 + 18T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 + 5*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 + 5T^5 + 14T^4 + 15T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 + 5T^5 + 13T^4 + 15T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 + 4*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 + 4T^5 + 11T^4 + 12T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 + 4T^5 + 10T^4 + 12T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 + 3*T^3 + 27)	7
(T^4 - 2T^2 + 9) (T^4 + 3T^3 + 5T^2 + 9*T + 9)	7
T^8 + 3T^7 + 3T^6 + 3T^5 + 7T^4 + 9T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 + 3T^5 + 6T^4 + 9T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 + 2*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 + 2T^5 + 5T^4 + 6T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 + 2T^5 + 4T^4 + 6T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 + 2T^5 + 3T^4 + 6T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 + T^3 + 27)	7
T^8 + 3T^7 + 3T^6 + T^5 + 2T^4 + 3T^3 + 27T^2 + 81T + 81	7
T^8 + 3T^7 + 3T^6 + T^5 + T^4 + 3T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3) * (T^6 + 3T^5 - 8T^3 + 27*T + 27)	7
T^8 + 3T^7 + 3T^6 + T^5 - T^4 + 3T^3 + 27T^2 + 81*T + 81	7
(T^2 - 3T + 3) (T^2 + 3) * (T^2 + 3*T + 3)^2	7
T^8 + 3T^7 + 3T^6 - T^4 + 27T^2 + 81T + 81	7
T^8 + 3T^7 + 3T^6 - 2T^4 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 3T^4 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 4T^4 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 - T^3 + 27)	7
T^8 + 3T^7 + 3T^6 - T^5 - 4T^4 - 3T^3 + 27T^2 + 81T + 81	7
T^8 + 3T^7 + 3T^6 - T^5 - 5T^4 - 3T^3 + 27T^2 + 81T + 81	7
T^8 + 3T^7 + 3T^6 - T^5 - 6T^4 - 3T^3 + 27T^2 + 81T + 81	7
T^8 + 3T^7 + 3T^6 - T^5 - 7T^4 - 3T^3 + 27T^2 + 81T + 81	7
T^8 + 3T^7 + 3T^6 - T^5 - 8T^4 - 3T^3 + 27T^2 + 81T + 81	7
(T^2 + 3T + 3) (T^6 - 2*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 - 2T^5 - 7T^4 - 6T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 2T^5 - 8T^4 - 6T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 2T^5 - 9T^4 - 6T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 2T^5 - 10T^4 - 6T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 2T^5 - 11T^4 - 6T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 - 3*T^3 + 27)	7
(T^4 - 4T^2 + 9) (T^4 + 3T^3 + 7T^2 + 9*T + 9)	7
T^8 + 3T^7 + 3T^6 - 3T^5 - 11T^4 - 9T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 3T^5 - 12T^4 - 9T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 3T^5 - 13T^4 - 9T^3 + 27T^2 + 81*T + 81	7
(T^4 - T^3 - T^2 - 3T + 9) (T^4 + 4T^3 + 8T^2 + 12*T + 9)	7
T^8 + 3T^7 + 3T^6 - 3T^5 - 15T^4 - 9T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 - 4*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 - 4T^5 - 13T^4 - 12T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 4T^5 - 14T^4 - 12T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 4T^5 - 15T^4 - 12T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 4T^5 - 16T^4 - 12T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 4T^5 - 17T^4 - 12T^3 + 27T^2 + 81*T + 81	7
(T^2 + 2T + 3) (T^6 + T^5 - 2T^4 - 3T^3 - 6T^2 + 9T + 27)	7
(T^2 + 3T + 3) (T^6 - 5*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 - 5T^5 - 16T^4 - 15T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 5T^5 - 17T^4 - 15T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 5T^5 - 18T^4 - 15T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 5T^5 - 19T^4 - 15T^3 + 27T^2 + 81*T + 81	7
(T^2 + 2T + 3) (T^6 + T^5 - 2T^4 - 4T^3 - 6T^2 + 9T + 27)	7
(T^2 + T + 3) * (T^6 + 2T^5 - 2T^4 - 9T^3 - 6T^2 + 18*T + 27)	7
T^8 + 3T^7 + 3T^6 - 5T^5 - 22T^4 - 15T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 - 6*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 - 6T^5 - 19T^4 - 18T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 6T^5 - 20T^4 - 18T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 6T^5 - 21T^4 - 18T^3 + 27T^2 + 81*T + 81	7
(T^2 + T + 3) * (T^2 + 2T + 3) (T^4 - 5*T^2 + 9)	7
T^8 + 3T^7 + 3T^6 - 6T^5 - 23T^4 - 18T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 6T^5 - 24T^4 - 18T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 - 7*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 - 7T^5 - 22T^4 - 21T^3 + 27T^2 + 81*T + 81	7
(T^2 + T + 3) * (T^6 + 2T^5 - 2T^4 - 11T^3 - 6T^2 + 18*T + 27)	7
(T^2 + 2T + 3) (T^6 + T^5 - 2T^4 - 6T^3 - 6T^2 + 9T + 27)	7
T^8 + 3T^7 + 3T^6 - 7T^5 - 25T^4 - 21T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 8T^5 - 23T^4 - 24T^3 + 27T^2 + 81*T + 81	7
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 - T^3 - 2T^2 - 3T + 9)	7
T^8 + 3T^7 + 3T^6 - 8T^5 - 25T^4 - 24T^3 + 27T^2 + 81*T + 81	7
(T^2 + 2T + 3) (T^6 + T^5 - 2T^4 - 7T^3 - 6T^2 + 9T + 27)	7
T^8 + 3T^7 + 3T^6 - 8T^5 - 27T^4 - 24T^3 + 27T^2 + 81*T + 81	7
T^8 + 3T^7 + 3T^6 - 9T^5 - 26T^4 - 27T^3 + 27T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 - 9*T^3 + 27)	7
(T^2 + 2T + 3) (T^6 + T^5 - 2T^4 - 8T^3 - 6T^2 + 9T + 27)	7
T^8 + 3T^7 + 3T^6 - 10T^5 - 29T^4 - 30T^3 + 27T^2 + 81*T + 81	7
(T^2 + 2T + 3) (T^2 + 3T + 3) (T^4 - 2T^3 + T^2 - 6T + 9)	7
(T^4 + 2T^3 + T^2 + 6T + 9) * (T^4 + 2T^3 + 2T^2 + 6*T + 9)	8
T^8 + 4T^7 + 7T^6 + 16T^5 + 37T^4 + 48T^3 + 63T^2 + 108*T + 81	8
T^8 + 4T^7 + 7T^6 + 15T^5 + 34T^4 + 45T^3 + 63T^2 + 108*T + 81	8
(T^4 + T^3 - T^2 + 3T + 9) (T^4 + 3T^3 + 5T^2 + 9*T + 9)	8
(T^2 + 3T + 3) (T^6 + T^5 + T^4 + 7T^3 + 3T^2 + 9*T + 27)	8
(T^2 + 3) * (T^2 + 3T + 3) (T^4 + T^3 - 2T^2 + 3T + 9)	8
(T^2 + 3T + 3) (T^6 + T^5 + T^4 + 5T^3 + 3T^2 + 9*T + 27)	8
T^8 + 4T^7 + 7T^6 + 11T^5 + 20T^4 + 33T^3 + 63T^2 + 108*T + 81	8
(T^2 + 3T + 3) (T^6 + T^5 + T^4 + 4T^3 + 3T^2 + 9*T + 27)	8
T^8 + 4T^7 + 7T^6 + 10T^5 + 17T^4 + 30T^3 + 63T^2 + 108*T + 81	8
(T^2 + 3T + 3) (T^6 + T^5 + T^4 + 3T^3 + 3T^2 + 9*T + 27)	8
T^8 + 4T^7 + 7T^6 + 9T^5 + 14T^4 + 27T^3 + 63T^2 + 108*T + 81	8
T^8 + 4T^7 + 7T^6 + 9T^5 + 13T^4 + 27T^3 + 63T^2 + 108*T + 81	8
(T^2 + 3T + 3) (T^6 + T^5 + T^4 + 2T^3 + 3T^2 + 9*T + 27)	8
T^8 + 4T^7 + 7T^6 + 8T^5 + 11T^4 + 24T^3 + 63T^2 + 108*T + 81	8
(T^4 - T^2 + 9) * (T^4 + 4T^3 + 8T^2 + 12*T + 9)	8
(T^2 + 3T + 3) (T^6 + T^5 + T^4 + T^3 + 3T^2 + 9T + 27)	8
T^8 + 4T^7 + 7T^6 + 7T^5 + 8T^4 + 21T^3 + 63T^2 + 108*T + 81	8
T^8 + 4T^7 + 7T^6 + 7T^5 + 7T^4 + 21T^3 + 63T^2 + 108*T + 81	8
T^8 + 4T^7 + 7T^6 + 7T^5 + 6T^4 + 21T^3 + 63T^2 + 108*T + 81	8
(T^2 + 3T + 3)^2 (T^4 - 2T^3 + 4T^2 - 6*T + 9)	8
T^8 + 4T^7 + 7T^6 + 6T^5 + 5T^4 + 18T^3 + 63T^2 + 108*T + 81	8
T^8 + 4T^7 + 7T^6 + 6T^5 + 4T^4 + 18T^3 + 63T^2 + 108*T + 81	8
T^8 + 4T^7 + 7T^6 + 6T^5 + 3T^4 + 18T^3 + 63T^2 + 108*T + 81	8
(T^2 + 3T + 3) (T^6 + T^5 + T^4 - T^3 + 3T^2 + 9T + 27)	8
T^8 + 4T^7 + 7T^6 + 5T^5 + 2T^4 + 15T^3 + 63T^2 + 108*T + 81	8
(T^2 + T + 3) * (T^6 + 3T^5 + T^4 - 5T^3 + 3T^2 + 27T + 27)	8
T^8 + 4T^7 + 7T^6 + 5T^5 + 15T^3 + 63T^2 + 108T + 81	8
T^8 + 4T^7 + 7T^6 + 5T^5 - T^4 + 15T^3 + 63T^2 + 108T + 81	8
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 - 2*T^2 + 9)	8
T^8 + 4T^7 + 7T^6 + 4T^5 - T^4 + 12T^3 + 63T^2 + 108T + 81	8
T^8 + 4T^7 + 7T^6 + 4T^5 - 2T^4 + 12T^3 + 63T^2 + 108*T + 81	8
T^8 + 4T^7 + 7T^6 + 4T^5 - 3T^4 + 12T^3 + 63T^2 + 108*T + 81	8
(T^2 + 2T + 3) (T^6 + 2T^5 - 2T^3 + 18*T + 27)	8
(T^2 + 3T + 3) (T^6 + T^5 + T^4 - 3T^3 + 3T^2 + 9*T + 27)	8
T^8 + 4T^7 + 7T^6 + 3T^5 - 4T^4 + 9T^3 + 63T^2 + 108*T + 81	8
T^8 + 4T^7 + 7T^6 + 3T^5 - 5T^4 + 9T^3 + 63T^2 + 108*T + 81	8
(T^2 + 2T + 3) (T^6 + 2T^5 - 3T^3 + 18*T + 27)	8
(T^2 + 3T + 3) (T^6 + T^5 + T^4 - 4T^3 + 3T^2 + 9*T + 27)	8
T^8 + 4T^7 + 7T^6 + 2T^5 - 7T^4 + 6T^3 + 63T^2 + 108*T + 81	8
(T^2 + 2T + 3) (T^6 + 2T^5 - 4T^3 + 18*T + 27)	8
(T^2 + 3T + 3) (T^6 + T^5 + T^4 - 5T^3 + 3T^2 + 9*T + 27)	8
(T^2 + 2T + 3) (T^6 + 2T^5 - 5T^3 + 18*T + 27)	8
(T^2 - 3T + 3) (T^2 + 3T + 3) (T^2 + 2*T + 3)^2	8
(T^2 + 2T + 3) (T^6 + 2T^5 - 7T^3 + 18*T + 27)	8
(T^4 + 2T^3 + T^2 + 6T + 9) * (T^4 + 3T^3 + 5T^2 + 9*T + 9)	9
T^8 + 5T^7 + 12T^6 + 25T^5 + 49T^4 + 75T^3 + 108T^2 + 135*T + 81	9
(T^2 - 2T + 3) (T^2 + 3T + 3) (T^4 + 4T^3 + 8T^2 + 12*T + 9)	9
(T^2 + 3T + 3) (T^6 + 2T^5 + 3T^4 + 7T^3 + 9T^2 + 18*T + 27)	9
(T^2 + 3T + 3) (T^6 + 2T^5 + 3T^4 + 6T^3 + 9T^2 + 18*T + 27)	9
T^8 + 5T^7 + 12T^6 + 21T^5 + 35T^4 + 63T^3 + 108T^2 + 135*T + 81	9
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 + T^3 - T^2 + 3*T + 9)	9
T^8 + 5T^7 + 12T^6 + 20T^5 + 32T^4 + 60T^3 + 108T^2 + 135*T + 81	9
(T^2 + 3T + 3) (T^6 + 2T^5 + 3T^4 + 4T^3 + 9T^2 + 18*T + 27)	9
T^8 + 5T^7 + 12T^6 + 19T^5 + 29T^4 + 57T^3 + 108T^2 + 135*T + 81	9
T^8 + 5T^7 + 12T^6 + 19T^5 + 28T^4 + 57T^3 + 108T^2 + 135*T + 81	9
(T^2 + 3T + 3)^2 (T^4 - T^3 + 3T^2 - 3T + 9)	9
T^8 + 5T^7 + 12T^6 + 18T^5 + 26T^4 + 54T^3 + 108T^2 + 135*T + 81	9
T^8 + 5T^7 + 12T^6 + 18T^5 + 25T^4 + 54T^3 + 108T^2 + 135*T + 81	9
(T^2 + 3T + 3) (T^6 + 2T^5 + 3T^4 + 2T^3 + 9T^2 + 18*T + 27)	9
T^8 + 5T^7 + 12T^6 + 17T^5 + 23T^4 + 51T^3 + 108T^2 + 135*T + 81	9
(T^2 + 2T + 3)^2 (T^4 + T^3 - 2T^2 + 3T + 9)	9
(T^2 + 3T + 3) (T^6 + 2T^5 + 3T^4 + T^3 + 9T^2 + 18T + 27)	9
(T^2 + 2T + 3) (T^6 + 3T^5 + 3T^4 + T^3 + 9T^2 + 27T + 27)	9
(T^2 + 2T + 3) (T^2 + 3T + 3) (T^4 + 9)	9
(T^4 + 2T^3 + 2T^2 + 6T + 9) (T^4 + 4T^3 + 8T^2 + 12*T + 9)	10
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 + 2T^3 + T^2 + 6T + 9)	10
(T^2 + 3T + 3) (T^6 + 3T^5 + 6T^4 + 12T^3 + 18T^2 + 27*T + 27)	10
(T^2 + 3T + 3) (T^6 + 3T^5 + 6T^4 + 11T^3 + 18T^2 + 27*T + 27)	10
T^8 + 6T^7 + 18T^6 + 38T^5 + 68T^4 + 114T^3 + 162T^2 + 162*T + 81	10
(T^2 + 3T + 3) (T^6 + 3T^5 + 6T^4 + 10T^3 + 18T^2 + 27*T + 27)	10
T^8 + 6T^7 + 18T^6 + 37T^5 + 65T^4 + 111T^3 + 162T^2 + 162*T + 81	10
(T^2 + 3T + 3)^2 (T^4 + 3*T^2 + 9)	10
(T^2 + 2T + 3) (T^6 + 4T^5 + 7T^4 + 10T^3 + 21T^2 + 36*T + 27)	10
(T^2 + 2T + 3) (T^2 + 3T + 3) (T^4 + T^3 + T^2 + 3*T + 9)	10
(T^4 + 3T^3 + 5T^2 + 9T + 9) (T^4 + 4T^3 + 8T^2 + 12*T + 9)	11
(T^2 + 3T + 3) (T^6 + 4T^5 + 10T^4 + 21T^3 + 30T^2 + 36*T + 27)	11
(T^2 + 3T + 3) (T^6 + 4T^5 + 10T^4 + 20T^3 + 30T^2 + 36*T + 27)	11
(T^2 + 3T + 3) (T^6 + 4T^5 + 10T^4 + 19T^3 + 30T^2 + 36*T + 27)	11
(T^2 - T + 3) * (T^2 + 2T + 3) (T^2 + 3*T + 3)^2	11
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 + 4T^3 + 8T^2 + 12*T + 9)	12
(T^2 + 3T + 3) (T^6 + 5T^5 + 15T^4 + 31T^3 + 45T^2 + 45*T + 27)	12
(T^2 + 3) * (T^2 + 2T + 3) (T^2 + 3*T + 3)^2	12
(T^2 + 3T + 3) (T^2 + 2*T + 3)^3	13

Back to Genus 4

GF(27)/GF(3)	N
T^8 - 4T^7 + 7T^6 - 16T^5 + 37T^4 - 48T^3 + 63T^2 - 108*T + 81	0
(T^2 - 3T + 3) (T^2 + T + 3) * (T^4 - 2T^3 + T^2 - 6T + 9)	0
(T^4 - 2T^3 + 2T^2 - 6*T + 9)^2	0
(T^4 - 2T^3 + T^2 - 6T + 9) * (T^4 - T^3 + T^2 - 3*T + 9)	1
(T^4 - 2T^3 + 2T^2 - 6T + 9) (T^4 - T^3 - T^2 - 3*T + 9)	1
(T^2 - 3T + 3) (T^6 - 9*T^3 + 27)	1
T^8 - 3T^7 + 2T^6 - 6T^5 + 22T^4 - 18T^3 + 18T^2 - 81*T + 81	1
(T^4 - T^3 - T^2 - 3*T + 9)^2	2
(T^2 - 3T + 3) (T^2 + 2T + 3) (T^4 - T^3 - 2T^2 - 3T + 9)	2
T^8 - 2T^7 - T^6 - 4T^5 + 23T^4 - 12T^3 - 9T^2 - 54T + 81	2
T^8 - 2T^7 - 2T^6 - 2T^5 + 22T^4 - 6T^3 - 18T^2 - 54*T + 81	2
T^8 - 2T^7 - 3T^6 + 21T^4 - 27T^2 - 54*T + 81	2
(T^2 + T + 3)^2 * (T^4 - 3T^3 + 5T^2 - 9*T + 9)	3
(T^2 + T + 3) * (T^6 - 2T^5 + 4T^4 - 11T^3 + 12T^2 - 18*T + 27)	3
(T^2 + 3) * (T^6 - T^5 + 2T^4 - 10T^3 + 6T^2 - 9T + 27)	3
(T^4 - 2T^3 + T^2 - 6T + 9) * (T^4 + T^3 + 5T^2 + 3T + 9)	3
T^8 - T^7 + 4T^6 - 12T^5 + 10T^4 - 36T^3 + 36T^2 - 27T + 81	3
(T^2 - 3T + 3) (T^2 + T + 3)^3	4
(T^2 + T + 3) * (T^6 - T^5 + 3T^4 - 8T^3 + 9T^2 - 9T + 27)	4
T^8 + 4T^6 - 8T^5 + 7T^4 - 24T^3 + 36*T^2 + 81	4
(T^2 + 3) * (T^2 + 2T + 3) (T^4 - 2T^3 + 2T^2 - 6*T + 9)	4
(T^2 + T + 3) * (T^6 - T^5 + 2T^4 - 7T^3 + 6T^2 - 9T + 27)	4
T^8 + 4T^6 - 8T^5 + 4T^4 - 24T^3 + 36*T^2 + 81	4
(T^2 + 2T + 3) (T^6 - 2T^5 + 4T^4 - 10T^3 + 12T^2 - 18*T + 27)	4
T^8 + 3T^6 - 8T^5 + 3T^4 - 24T^3 + 27*T^2 + 81	4
T^8 + 3T^6 - 8T^5 + 2T^4 - 24T^3 + 27*T^2 + 81	4
T^8 + 3T^6 - 8T^5 + T^4 - 24T^3 + 27T^2 + 81	4
(T^2 + 3) * (T^2 + T + 3) * (T^4 - T^3 - 2T^2 - 3T + 9)	4
T^8 + 3T^6 - 8T^5 - T^4 - 24T^3 + 27T^2 + 81	4
(T^2 + 2T + 3)^2 (T^4 - 4T^3 + 8T^2 - 12*T + 9)	4
T^8 + 2T^6 - 8T^5 + T^4 - 24T^3 + 18T^2 + 81	4
T^8 + 2T^6 - 8T^5 - 24T^3 + 18T^2 + 81	4
(T^4 - 2T^3 + T^2 - 6T + 9) * (T^4 + 2T^3 + 5T^2 + 6*T + 9)	4
T^8 + 2T^6 - 8T^5 - 2T^4 - 24T^3 + 18*T^2 + 81	4
(T^2 + T + 3)^2 * (T^4 - T^3 + T^2 - 3*T + 9)	5
(T^2 + 2T + 3) (T^6 - T^5 + 4T^4 - 8T^3 + 12T^2 - 9T + 27)	5
(T^2 + T + 3) * (T^6 + 2T^4 - 5T^3 + 6*T^2 + 27)	5
(T^2 + 2T + 3) (T^6 - T^5 + 3T^4 - 7T^3 + 9T^2 - 9T + 27)	5
T^8 + T^7 + 4T^6 - 4T^5 + 3T^4 - 12T^3 + 36T^2 + 27T + 81	5
T^8 + T^7 + 4T^6 - 4T^5 + 2T^4 - 12T^3 + 36T^2 + 27T + 81	5
(T^2 + T + 3) * (T^6 + T^4 - 5T^3 + 3T^2 + 27)	5
(T^2 + 3) * (T^2 + 2T + 3) (T^4 - T^3 - T^2 - 3*T + 9)	5
T^8 + T^7 + 3T^6 - 5T^5 - T^4 - 15T^3 + 27T^2 + 27*T + 81	5
T^8 + T^7 + 3T^6 - 5T^5 - 2T^4 - 15T^3 + 27T^2 + 27T + 81	5
T^8 + T^7 + 3T^6 - 5T^5 - 3T^4 - 15T^3 + 27T^2 + 27T + 81	5
(T^4 - 2T^3 + 2T^2 - 6T + 9) (T^4 + 3T^3 + 7T^2 + 9*T + 9)	5
(T^2 + T + 3) * (T^6 - 5*T^3 + 27)	5
(T^2 + 2T + 3) (T^6 - T^5 + T^4 - 5T^3 + 3T^2 - 9*T + 27)	5
T^8 + T^7 + 2T^6 - 6T^5 - 5T^4 - 18T^3 + 18T^2 + 27T + 81	5
(T^2 + 3) * (T^6 + T^5 - T^4 - 9T^3 - 3T^2 + 9*T + 27)	5
T^8 + T^7 + 2T^6 - 6T^5 - 7T^4 - 18T^3 + 18T^2 + 27T + 81	5
T^8 + T^7 + 2T^6 - 6T^5 - 8T^4 - 18T^3 + 18T^2 + 27T + 81	5
T^8 + T^7 + 2T^6 - 6T^5 - 9T^4 - 18T^3 + 18T^2 + 27T + 81	5
T^8 + T^7 + 2T^6 - 6T^5 - 10T^4 - 18T^3 + 18T^2 + 27T + 81	5
(T^2 + T + 3) * (T^6 - T^4 - 5T^3 - 3T^2 + 27)	5
T^8 + T^7 + T^6 - 7T^5 - 7T^4 - 21T^3 + 9T^2 + 27*T + 81	5
(T^2 + 2T + 3) (T^6 - T^5 - 4T^3 - 9T + 27)	5
T^8 + T^7 + T^6 - 7T^5 - 9T^4 - 21T^3 + 9T^2 + 27*T + 81	5
T^8 + T^7 + T^6 - 7T^5 - 10T^4 - 21T^3 + 9T^2 + 27*T + 81	5
(T^2 + T + 3) * (T^2 + 2T + 3) (T^4 - T^3 + 2T^2 - 3T + 9)	6
(T^2 + 2T + 3)^2 (T^4 - 2T^3 + 4T^2 - 6*T + 9)	6
(T^2 + T + 3) * (T^6 + T^5 + 2T^4 - 3T^3 + 6T^2 + 9T + 27)	6
(T^2 + 2T + 3) (T^6 + 2T^4 - 4T^3 + 6*T^2 + 27)	6
T^8 + 2T^7 + 5T^6 + 3T^4 + 45T^2 + 54*T + 81	6
(T^2 + T + 3) * (T^6 + T^5 + T^4 - 4T^3 + 3T^2 + 9*T + 27)	6
(T^2 + 2T + 3) (T^6 + T^4 - 4T^3 + 3T^2 + 27)	6
T^8 + 2T^7 + 4T^6 - 2T^5 - 3T^4 - 6T^3 + 36T^2 + 54*T + 81	6
T^8 + 2T^7 + 4T^6 - 2T^5 - 4T^4 - 6T^3 + 36T^2 + 54*T + 81	6
(T^2 + T + 3) * (T^6 + T^5 - 5T^3 + 9T + 27)	6
(T^4 - T^3 - T^2 - 3T + 9) (T^4 + 3T^3 + 7T^2 + 9*T + 9)	6
(T^2 + 2T + 3) (T^6 - 4*T^3 + 27)	6
T^8 + 2T^7 + 3T^6 - 4T^5 - 9T^4 - 12T^3 + 27T^2 + 54*T + 81	6
T^8 + 2T^7 + 3T^6 - 4T^5 - 10T^4 - 12T^3 + 27T^2 + 54*T + 81	6
T^8 + 2T^7 + 3T^6 - 4T^5 - 11T^4 - 12T^3 + 27T^2 + 54*T + 81	6
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 - 2T^3 + 2T^2 - 6*T + 9)	6
T^8 + 2T^7 + 2T^6 - 6T^5 - 12T^4 - 18T^3 + 18T^2 + 54*T + 81	6
T^8 + 2T^7 + 2T^6 - 6T^5 - 13T^4 - 18T^3 + 18T^2 + 54*T + 81	6
(T^2 + 2T + 3) (T^6 - T^4 - 4T^3 - 3T^2 + 27)	6
(T^2 + 3T + 3) (T^6 - T^5 + 2T^4 - 9T^3 + 6T^2 - 9T + 27)	6
T^8 + 2T^7 + 2T^6 - 6T^5 - 16T^4 - 18T^3 + 18T^2 + 54*T + 81	6
T^8 + 2T^7 + 2T^6 - 6T^5 - 17T^4 - 18T^3 + 18T^2 + 54*T + 81	6
T^8 + 2T^7 + 2T^6 - 6T^5 - 18T^4 - 18T^3 + 18T^2 + 54*T + 81	6
(T^2 + T + 3) * (T^6 + T^5 - 2T^4 - 7T^3 - 6T^2 + 9T + 27)	6
T^8 + 2T^7 + T^6 - 8T^5 - 16T^4 - 24T^3 + 9T^2 + 54T + 81	6
T^8 + 2T^7 + T^6 - 8T^5 - 17T^4 - 24T^3 + 9T^2 + 54T + 81	6
(T^2 + 2T + 3)^2 (T^4 - T^3 + 3T^2 - 3T + 9)	7
(T^2 + 2T + 3) (T^6 + T^5 + 3T^4 - T^3 + 9T^2 + 9*T + 27)	7
(T^2 + 2T + 3) (T^6 + T^5 + 2T^4 - 2T^3 + 6T^2 + 9T + 27)	7
(T^2 + 2T + 3) (T^6 + T^5 + T^4 - 3T^3 + 3T^2 + 9*T + 27)	7
(T^2 + T + 3) * (T^6 + 2T^5 - 7T^3 + 18*T + 27)	7
(T^2 + 2T + 3) (T^6 + T^5 - 4T^3 + 9T + 27)	7
(T^2 + 3T + 3) (T^6 + 2T^4 - 7T^3 + 6*T^2 + 27)	7
T^8 + 3T^7 + 4T^6 - 4T^5 - 14T^4 - 12T^3 + 36T^2 + 81*T + 81	7
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 - T^3 - T^2 - 3*T + 9)	7
(T^2 + 2T + 3) (T^6 + T^5 - T^4 - 5T^3 - 3T^2 + 9*T + 27)	7
T^8 + 3T^7 + 4T^6 - 4T^5 - 17T^4 - 12T^3 + 36T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 - 7*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 - 7T^5 - 22T^4 - 21T^3 + 27T^2 + 81*T + 81	7
(T^2 + T + 3) * (T^6 + 2T^5 - 2T^4 - 11T^3 - 6T^2 + 18*T + 27)	7
(T^2 + 2T + 3) (T^6 + T^5 - 2T^4 - 6T^3 - 6T^2 + 9T + 27)	7
T^8 + 3T^7 + 3T^6 - 7T^5 - 25T^4 - 21T^3 + 27T^2 + 81*T + 81	7
(T^2 + T + 3)^2 * (T^4 + T^3 + 5T^2 + 3T + 9)	7
(T^2 + 3)^2 * (T^2 + 2*T + 3)^2	8
(T^2 + T + 3)^2 * (T^4 + 2T^3 + 5T^2 + 6*T + 9)	8
(T^2 - T + 3) * (T^2 + T + 3) * (T^2 + 2*T + 3)^2	8
(T^2 + 2T + 3)^2 (T^4 + 4*T^2 + 9)	8
(T^2 + 2T + 3)^2 (T^4 + 3*T^2 + 9)	8
(T^2 - 2T + 3) (T^2 + 2*T + 3)^3	8
(T^2 + 2T + 3)^2 (T^4 + T^2 + 9)	8
(T^2 + 2T + 3)^2 (T^4 + 9)	8
(T^2 + 2T + 3)^2 (T^4 - T^2 + 9)	8
(T^2 + 2T + 3)^2 (T^4 - 2*T^2 + 9)	8
(T^2 - 3T + 3) (T^2 + 3T + 3) (T^2 + 2*T + 3)^2	8
(T^2 + 3T + 3) (T^6 + T^5 - 7T^3 + 9T + 27)	8
(T^2 + 2T + 3)^2 (T^4 - 4*T^2 + 9)	8
(T^2 + 3T + 3) (T^6 + T^5 - T^4 - 8T^3 - 3T^2 + 9*T + 27)	8
T^8 + 4T^7 + 5T^6 - 8T^5 - 31T^4 - 24T^3 + 45T^2 + 108*T + 81	8
(T^2 + 2T + 3)^2 (T^4 - 5*T^2 + 9)	8
(T^2 + 3T + 3)^2 (T^4 - 2T^3 + T^2 - 6T + 9)	8
T^8 + 4T^7 + 4T^6 - 12T^5 - 40T^4 - 36T^3 + 36T^2 + 108*T + 81	8
T^8 + 4T^7 + 4T^6 - 12T^5 - 41T^4 - 36T^3 + 36T^2 + 108*T + 81	8
(T^2 - 3)^2 * (T^2 + 2*T + 3)^2	8
(T^2 + 3) * (T^2 + 2T + 3) (T^4 + 3T^3 + 7T^2 + 9*T + 9)	9
(T^2 + T + 3) * (T^6 + 4T^5 + 12T^4 + 23T^3 + 36T^2 + 36*T + 27)	9
(T^2 + 2T + 3) (T^6 + 3T^5 + 9T^4 + 15T^3 + 27T^2 + 27*T + 27)	9
(T^2 + 2T + 3)^2 (T^4 + T^3 + 3T^2 + 3T + 9)	9
(T^4 + 3T^3 + 7T^2 + 9*T + 9)^2	10
(T^2 + 3) * (T^2 + T + 3) * (T^2 + 2T + 3) (T^2 + 3*T + 3)	10
(T^2 + 2T + 3)^2 (T^4 + 2T^3 + 4T^2 + 6*T + 9)	10
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 + 3T^3 + 7T^2 + 9*T + 9)	11
(T^2 + 2T + 3) (T^6 + 5T^5 + 15T^4 + 31T^3 + 45T^2 + 45*T + 27)	11
(T^2 + T + 3)^2 * (T^2 + 3*T + 3)^2	12
(T^2 + 2T + 3)^2 (T^4 + 4T^3 + 8T^2 + 12*T + 9)	12

Back to Genus 4

GF(16)/GF(4)	N
(T + 2)^2 * (T - 2)^4 * (T^2 - T + 4)	0
(T + 2)^2 * (T - 2)^4 * (T^2 + 4)	1
(T - 2)^2 * (T + 2)^2 * (T^4 - 3T^3 + 5T^2 - 12*T + 16)	2
(T - 2)^2 * (T^6 + T^5 - 3T^4 - 5T^3 - 12T^2 + 16T + 64)	2
(T - 2)^2 * (T^6 + T^5 - 3T^4 - 6T^3 - 12T^2 + 16T + 64)	2
(T - 2)^2 * (T^2 + T + 4) * (T^4 - 7*T^2 + 16)	2
(T - 2)^2 * (T^6 + T^5 - 3T^4 - 8T^3 - 12T^2 + 16T + 64)	2
(T - 2)^2 * (T^6 + T^5 - 3T^4 - 9T^3 - 12T^2 + 16T + 64)	2
(T - 2)^2 * (T^6 + T^5 - 3T^4 - 10T^3 - 12T^2 + 16T + 64)	2
(T - 2)^2 * (T^6 + T^5 - 3T^4 - 11T^3 - 12T^2 + 16T + 64)	2
(T - 2)^4 * (T^4 + 5T^3 + 13T^2 + 20*T + 16)	2
T^8 - 2T^7 - 5T^6 + 8T^5 + 11T^4 + 32T^3 - 80T^2 - 128*T + 256	3
T^8 - 2T^7 - 5T^6 + 8T^5 + 10T^4 + 32T^3 - 80T^2 - 128*T + 256	3
T^8 - 2T^7 - 5T^6 + 8T^5 + 9T^4 + 32T^3 - 80T^2 - 128*T + 256	3
(T - 2)^2 * (T + 2)^2 * (T^4 - 2T^3 + 3T^2 - 8*T + 16)	3
T^8 - 2T^7 - 5T^6 + 7T^5 + 14T^4 + 28T^3 - 80T^2 - 128*T + 256	3
T^8 - 2T^7 - 5T^6 + 7T^5 + 13T^4 + 28T^3 - 80T^2 - 128*T + 256	3
(T - 2)^2 * (T^6 + 2T^5 - T^4 - 5T^3 - 4T^2 + 32T + 64)	3
(T^4 - 2T^3 + 2T^2 - 8T + 16) (T^4 - 7*T^2 + 16)	3
T^8 - 2T^7 - 5T^6 + 6T^5 + 17T^4 + 24T^3 - 80T^2 - 128*T + 256	3
(T - 2)^2 * (T^6 + 2T^5 - T^4 - 6T^3 - 4T^2 + 32T + 64)	3
T^8 - 2T^7 - 5T^6 + 5T^5 + 22T^4 + 20T^3 - 80T^2 - 128*T + 256	3
T^8 - 2T^7 - 5T^6 + 5T^5 + 21T^4 + 20T^3 - 80T^2 - 128*T + 256	3
(T - 2)^2 * (T^6 + 2T^5 - T^4 - 7T^3 - 4T^2 + 32T + 64)	3
(T^4 - 2T^3 + T^2 - 8T + 16) * (T^4 - 6*T^2 + 16)	3
T^8 - 2T^7 - 5T^6 + 4T^5 + 25T^4 + 16T^3 - 80T^2 - 128*T + 256	3
(T - 2)^2 * (T^6 + 2T^5 - T^4 - 8T^3 - 4T^2 + 32T + 64)	3
T^8 - 2T^7 - 5T^6 + 3T^5 + 29T^4 + 12T^3 - 80T^2 - 128*T + 256	3
(T - 2)^2 * (T^6 + 2T^5 - T^4 - 9T^3 - 4T^2 + 32T + 64)	3
T^8 - 2T^7 - 5T^6 + 2T^5 + 33T^4 + 8T^3 - 80T^2 - 128*T + 256	3
(T - 2)^2 * (T^2 + 2T + 4) (T^4 - 5*T^2 + 16)	3
T^8 - 2T^7 - 5T^6 + T^5 + 37T^4 + 4T^3 - 80T^2 - 128T + 256	3
(T - 2)^2 * (T^6 + 2T^5 - T^4 - 11T^3 - 4T^2 + 32T + 64)	3
T^8 - 2T^7 - 5T^6 + 41T^4 - 80T^2 - 128*T + 256	3
(T - 2)^2 * (T^6 + 2T^5 - T^4 - 12T^3 - 4T^2 + 32T + 64)	3
T^8 - 2T^7 - 5T^6 - T^5 + 45T^4 - 4T^3 - 80T^2 - 128T + 256	3
(T - 2)^2 * (T^6 + 2T^5 - T^4 - 13T^3 - 4T^2 + 32T + 64)	3
(T^4 - T^3 - 3T^2 - 4T + 16)^2	3
(T - 2)^2 * (T^2 + 3T + 4) (T^4 - T^3 - 2T^2 - 4T + 16)	3
T^8 - T^7 - 6T^6 + 5T^5 + 22T^4 + 20T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 5T^5 + 21T^4 + 20T^3 - 96T^2 - 64T + 256	4
(T + 2)^2 * (T^6 - 5T^5 + 10T^4 - 15T^3 + 40T^2 - 80*T + 64)	4
T^8 - T^7 - 6T^6 + 4T^5 + 26T^4 + 16T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 4T^5 + 25T^4 + 16T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 4T^5 + 24T^4 + 16T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 4T^5 + 23T^4 + 16T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 4T^5 + 22T^4 + 16T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 4T^5 + 21T^4 + 16T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 4T^5 + 20T^4 + 16T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 4T^5 + 19T^4 + 16T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 4T^5 + 18T^4 + 16T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 4T^5 + 17T^4 + 16T^3 - 96T^2 - 64T + 256	4
(T - 2)^2 * (T + 2)^2 * (T^2 - 3T + 4) (T^2 + 2*T + 4)	4
T^8 - T^7 - 6T^6 + 3T^5 + 29T^4 + 12T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 3T^5 + 28T^4 + 12T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 3T^5 + 27T^4 + 12T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 3T^5 + 26T^4 + 12T^3 - 96T^2 - 64T + 256	4
(T^4 - T^3 + T^2 - 4T + 16) (T^4 - 7*T^2 + 16)	4
T^8 - T^7 - 6T^6 + 3T^5 + 24T^4 + 12T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 3T^5 + 23T^4 + 12T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 3T^5 + 22T^4 + 12T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 3T^5 + 21T^4 + 12T^3 - 96T^2 - 64T + 256	4
(T - 2)^2 * (T^6 + 3T^5 + 2T^4 - T^3 + 8T^2 + 48T + 64)	4
T^8 - T^7 - 6T^6 + 2T^5 + 33T^4 + 8T^3 - 96T^2 - 64T + 256	4
(T^4 - T^3 - 4T + 16) (T^4 - 6*T^2 + 16)	4
T^8 - T^7 - 6T^6 + 2T^5 + 31T^4 + 8T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 2T^5 + 30T^4 + 8T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 2T^5 + 29T^4 + 8T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 2T^5 + 28T^4 + 8T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 2T^5 + 27T^4 + 8T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 2T^5 + 26T^4 + 8T^3 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 2T^5 + 25T^4 + 8T^3 - 96T^2 - 64T + 256	4
(T - 2)^2 * (T^6 + 3T^5 + 2T^4 - 2T^3 + 8T^2 + 48*T + 64)	4
(T^4 - T^3 - T^2 - 4T + 16) (T^4 - 5*T^2 + 16)	4
T^8 - T^7 - 6T^6 + T^5 + 36T^4 + 4T^3 - 96T^2 - 64*T + 256	4
T^8 - T^7 - 6T^6 + T^5 + 35T^4 + 4T^3 - 96T^2 - 64*T + 256	4
T^8 - T^7 - 6T^6 + T^5 + 34T^4 + 4T^3 - 96T^2 - 64*T + 256	4
T^8 - T^7 - 6T^6 + T^5 + 33T^4 + 4T^3 - 96T^2 - 64*T + 256	4
T^8 - T^7 - 6T^6 + T^5 + 32T^4 + 4T^3 - 96T^2 - 64*T + 256	4
T^8 - T^7 - 6T^6 + T^5 + 31T^4 + 4T^3 - 96T^2 - 64*T + 256	4
T^8 - T^7 - 6T^6 + T^5 + 30T^4 + 4T^3 - 96T^2 - 64*T + 256	4
T^8 - T^7 - 6T^6 + T^5 + 29T^4 + 4T^3 - 96T^2 - 64*T + 256	4
(T - 2)^2 * (T^6 + 3T^5 + 2T^4 - 3T^3 + 8T^2 + 48*T + 64)	4
(T^4 - T^3 - 2T^2 - 4T + 16) * (T^4 - 4*T^2 + 16)	4
T^8 - T^7 - 6T^6 + 39T^4 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 38T^4 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 37T^4 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 36T^4 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 35T^4 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 34T^4 - 96T^2 - 64T + 256	4
T^8 - T^7 - 6T^6 + 33T^4 - 96T^2 - 64T + 256	4
(T - 2)^2 * (T^6 + 3T^5 + 2T^4 - 4T^3 + 8T^2 + 48*T + 64)	4
(T^2 + 3T + 4) (T^6 - 4T^5 + 2T^4 + 9T^3 + 8T^2 - 64*T + 64)	4
T^8 - T^7 - 6T^6 - T^5 + 42T^4 - 4T^3 - 96T^2 - 64*T + 256	4
(T^4 - T^3 - 3T^2 - 4T + 16) * (T^4 - 3*T^2 + 16)	4
T^8 - T^7 - 6T^6 - T^5 + 40T^4 - 4T^3 - 96T^2 - 64*T + 256	4
T^8 - T^7 - 6T^6 - T^5 + 39T^4 - 4T^3 - 96T^2 - 64*T + 256	4
T^8 - T^7 - 6T^6 - T^5 + 38T^4 - 4T^3 - 96T^2 - 64*T + 256	4
T^8 - T^7 - 6T^6 - T^5 + 37T^4 - 4T^3 - 96T^2 - 64*T + 256	4
(T - 2)^2 * (T^6 + 3T^5 + 2T^4 - 5T^3 + 8T^2 + 48*T + 64)	4
(T - 2)^2 * (T^2 + 3T + 4) (T^4 - 2*T^2 + 16)	4
T^8 - 6T^6 + 3T^5 + 31T^4 + 12T^3 - 96*T^2 + 256	5
T^8 - 6T^6 + 3T^5 + 30T^4 + 12T^3 - 96*T^2 + 256	5
T^8 - 6T^6 + 3T^5 + 29T^4 + 12T^3 - 96*T^2 + 256	5
(T + 2)^2 * (T^2 - 3T + 4) (T^4 - T^3 - T^2 - 4*T + 16)	5
T^8 - 6T^6 + 2T^5 + 34T^4 + 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 + 2T^5 + 33T^4 + 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 + 2T^5 + 32T^4 + 8T^3 - 96*T^2 + 256	5
(T^2 - 3T + 4) (T^6 + 3T^5 - T^4 - 13T^3 - 4T^2 + 48T + 64)	5
T^8 - 6T^6 + 2T^5 + 30T^4 + 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 + 2T^5 + 29T^4 + 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 + 2T^5 + 28T^4 + 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 + 2T^5 + 27T^4 + 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 + 2T^5 + 26T^4 + 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 + 2T^5 + 25T^4 + 8T^3 - 96*T^2 + 256	5
(T + 2)^2 * (T^6 - 4T^5 + 6T^4 - 6T^3 + 24T^2 - 64*T + 64)	5
T^8 - 6T^6 + T^5 + 37T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 36T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 35T^4 + 4T^3 - 96T^2 + 256	5
(T^2 - 3T + 4) (T^6 + 3T^5 - T^4 - 14T^3 - 4T^2 + 48T + 64)	5
T^8 - 6T^6 + T^5 + 33T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 32T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 31T^4 + 4T^3 - 96T^2 + 256	5
(T^4 - T^3 - 2T^2 - 4T + 16) * (T^4 + T^3 - 3T^2 + 4T + 16)	5
T^8 - 6T^6 + T^5 + 29T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 28T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 27T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 26T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 25T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 24T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 23T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 22T^4 + 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 + T^5 + 21T^4 + 4T^3 - 96T^2 + 256	5
(T + 2)^2 * (T^6 - 4T^5 + 6T^4 - 7T^3 + 24T^2 - 64*T + 64)	5
(T^4 - 3*T^2 + 16)^2	5
(T^4 - 4T^2 + 16) (T^4 - 2*T^2 + 16)	5
T^8 - 6T^6 + 39T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 38T^4 - 96*T^2 + 256	5
(T^2 - 3T + 4) (T^2 + 3T + 4) (T^4 - 5*T^2 + 16)	5
T^8 - 6T^6 + 36T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 35T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 34T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 33T^4 - 96*T^2 + 256	5
(T^4 - 6T^2 + 16) (T^4 + 16)	5
T^8 - 6T^6 + 31T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 30T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 29T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 28T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 27T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 26T^4 - 96*T^2 + 256	5
(T^4 - 7T^2 + 16) (T^4 + T^2 + 16)	5
T^8 - 6T^6 + 24T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 23T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 22T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 21T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 20T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 19T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 18T^4 - 96*T^2 + 256	5
T^8 - 6T^6 + 17T^4 - 96*T^2 + 256	5
(T - 2)^2 * (T + 2)^2 * (T^4 + 2*T^2 + 16)	5
T^8 - 6T^6 - T^5 + 37T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 36T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 35T^4 - 4T^3 - 96T^2 + 256	5
(T^2 + 3T + 4) (T^6 - 3T^5 - T^4 + 14T^3 - 4T^2 - 48T + 64)	5
T^8 - 6T^6 - T^5 + 33T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 32T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 31T^4 - 4T^3 - 96T^2 + 256	5
(T^4 - T^3 - 3T^2 - 4T + 16) * (T^4 + T^3 - 2T^2 + 4T + 16)	5
T^8 - 6T^6 - T^5 + 29T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 28T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 27T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 26T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 25T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 24T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 23T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 22T^4 - 4T^3 - 96T^2 + 256	5
T^8 - 6T^6 - T^5 + 21T^4 - 4T^3 - 96T^2 + 256	5
(T - 2)^2 * (T^6 + 4T^5 + 6T^4 + 7T^3 + 24T^2 + 64*T + 64)	5
T^8 - 6T^6 - 2T^5 + 34T^4 - 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 - 2T^5 + 33T^4 - 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 - 2T^5 + 32T^4 - 8T^3 - 96*T^2 + 256	5
(T^2 + 3T + 4) (T^6 - 3T^5 - T^4 + 13T^3 - 4T^2 - 48T + 64)	5
T^8 - 6T^6 - 2T^5 + 30T^4 - 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 - 2T^5 + 29T^4 - 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 - 2T^5 + 28T^4 - 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 - 2T^5 + 27T^4 - 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 - 2T^5 + 26T^4 - 8T^3 - 96*T^2 + 256	5
T^8 - 6T^6 - 2T^5 + 25T^4 - 8T^3 - 96*T^2 + 256	5
(T - 2)^2 * (T^6 + 4T^5 + 6T^4 + 6T^3 + 24T^2 + 64*T + 64)	5
T^8 - 6T^6 - 3T^5 + 31T^4 - 12T^3 - 96*T^2 + 256	5
T^8 - 6T^6 - 3T^5 + 30T^4 - 12T^3 - 96*T^2 + 256	5
T^8 - 6T^6 - 3T^5 + 29T^4 - 12T^3 - 96*T^2 + 256	5
(T - 2)^2 * (T^2 + 3T + 4) (T^4 + T^3 - T^2 + 4*T + 16)	5
(T + 2)^2 * (T^2 + 3T + 4) (T^2 - 3*T + 4)^2	6
(T^2 - 3T + 4) (T^6 + 4T^5 + 3T^4 - 5T^3 + 12T^2 + 64*T + 64)	6
(T^4 - 2T^2 + 16) (T^4 + T^3 - 3T^2 + 4T + 16)	6
T^8 + T^7 - 5T^6 + 2T^5 + 37T^4 + 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 2T^5 + 36T^4 + 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 2T^5 + 35T^4 + 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 2T^5 + 34T^4 + 8T^3 - 80T^2 + 64T + 256	6
(T^2 + 3T + 4) (T^6 - 2T^5 - 3T^4 + 19T^3 - 12T^2 - 32*T + 64)	6
(T + 2)^2 * (T^6 - 3T^5 + 3T^4 + 2T^3 + 12T^2 - 48*T + 64)	6
T^8 + T^7 - 5T^6 + T^5 + 39T^4 + 4T^3 - 80T^2 + 64*T + 256	6
(T^4 - 3T^2 + 16) (T^4 + T^3 - 2T^2 + 4T + 16)	6
T^8 + T^7 - 5T^6 + T^5 + 37T^4 + 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 + T^5 + 36T^4 + 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 + T^5 + 35T^4 + 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 + T^5 + 34T^4 + 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 + T^5 + 33T^4 + 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 + T^5 + 32T^4 + 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 + T^5 + 31T^4 + 4T^3 - 80T^2 + 64*T + 256	6
(T^2 + 3T + 4) (T^6 - 2T^5 - 3T^4 + 18T^3 - 12T^2 - 32*T + 64)	6
T^8 + T^7 - 5T^6 + T^5 + 29T^4 + 4T^3 - 80T^2 + 64*T + 256	6
(T + 2)^2 * (T^6 - 3T^5 + 3T^4 + T^3 + 12T^2 - 48T + 64)	6
(T^4 - 4T^2 + 16) (T^4 + T^3 - T^2 + 4*T + 16)	6
T^8 + T^7 - 5T^6 + 35T^4 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 34T^4 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 33T^4 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 32T^4 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 31T^4 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 30T^4 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 29T^4 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 28T^4 - 80T^2 + 64T + 256	6
(T^2 + 3T + 4) (T^6 - 2T^5 - 3T^4 + 17T^3 - 12T^2 - 32*T + 64)	6
T^8 + T^7 - 5T^6 + 26T^4 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 + 25T^4 - 80T^2 + 64T + 256	6
(T + 2)^2 * (T^6 - 3T^5 + 3T^4 + 12T^2 - 48T + 64)	6
(T^4 - 5T^2 + 16) (T^4 + T^3 + 4*T + 16)	6
T^8 + T^7 - 5T^6 - T^5 + 31T^4 - 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 - T^5 + 30T^4 - 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 - T^5 + 29T^4 - 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 - T^5 + 28T^4 - 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 - T^5 + 27T^4 - 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 - T^5 + 26T^4 - 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 - T^5 + 25T^4 - 4T^3 - 80T^2 + 64*T + 256	6
(T^2 + 3T + 4) (T^6 - 2T^5 - 3T^4 + 16T^3 - 12T^2 - 32*T + 64)	6
T^8 + T^7 - 5T^6 - T^5 + 23T^4 - 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 - T^5 + 22T^4 - 4T^3 - 80T^2 + 64*T + 256	6
T^8 + T^7 - 5T^6 - T^5 + 21T^4 - 4T^3 - 80T^2 + 64*T + 256	6
(T + 2)^2 * (T^6 - 3T^5 + 3T^4 - T^3 + 12T^2 - 48T + 64)	6
T^8 + T^7 - 5T^6 - 2T^5 + 29T^4 - 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 2T^5 + 28T^4 - 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 2T^5 + 27T^4 - 8T^3 - 80T^2 + 64T + 256	6
(T^4 - 6T^2 + 16) (T^4 + T^3 + T^2 + 4*T + 16)	6
T^8 + T^7 - 5T^6 - 2T^5 + 25T^4 - 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 2T^5 + 24T^4 - 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 2T^5 + 23T^4 - 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 2T^5 + 22T^4 - 8T^3 - 80T^2 + 64T + 256	6
(T^2 + 3T + 4) (T^6 - 2T^5 - 3T^4 + 15T^3 - 12T^2 - 32*T + 64)	6
T^8 + T^7 - 5T^6 - 2T^5 + 20T^4 - 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 2T^5 + 19T^4 - 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 2T^5 + 18T^4 - 8T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 2T^5 + 17T^4 - 8T^3 - 80T^2 + 64T + 256	6
(T + 2)^2 * (T^2 - 2T + 4) (T^4 - T^3 - 3T^2 - 4T + 16)	6
T^8 + T^7 - 5T^6 - 3T^5 + 25T^4 - 12T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 3T^5 + 24T^4 - 12T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 3T^5 + 23T^4 - 12T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 3T^5 + 22T^4 - 12T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 3T^5 + 21T^4 - 12T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 3T^5 + 20T^4 - 12T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 3T^5 + 19T^4 - 12T^3 - 80T^2 + 64T + 256	6
(T^2 - 2T + 4) (T^2 + 3T + 4) (T^4 - 7*T^2 + 16)	6
T^8 + T^7 - 5T^6 - 3T^5 + 17T^4 - 12T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 3T^5 + 16T^4 - 12T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 3T^5 + 15T^4 - 12T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 3T^5 + 14T^4 - 12T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 3T^5 + 13T^4 - 12T^3 - 80T^2 + 64T + 256	6
(T + 2)^2 * (T^6 - 3T^5 + 3T^4 - 3T^3 + 12T^2 - 48*T + 64)	6
T^8 + T^7 - 5T^6 - 4T^5 + 22T^4 - 16T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 4T^5 + 21T^4 - 16T^3 - 80T^2 + 64T + 256	6
(T^2 - 2T + 4) (T^6 + 3T^5 - 3T^4 - 22T^3 - 12T^2 + 48*T + 64)	6
T^8 + T^7 - 5T^6 - 4T^5 + 19T^4 - 16T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 4T^5 + 18T^4 - 16T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 4T^5 + 17T^4 - 16T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 4T^5 + 16T^4 - 16T^3 - 80T^2 + 64T + 256	6
(T^2 + 3T + 4) (T^6 - 2T^5 - 3T^4 + 13T^3 - 12T^2 - 32*T + 64)	6
T^8 + T^7 - 5T^6 - 4T^5 + 14T^4 - 16T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 4T^5 + 13T^4 - 16T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 4T^5 + 12T^4 - 16T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 4T^5 + 11T^4 - 16T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 4T^5 + 10T^4 - 16T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 4T^5 + 9T^4 - 16T^3 - 80T^2 + 64T + 256	6
(T - 2)^2 * (T + 2)^2 * (T^4 + T^3 + 3T^2 + 4T + 16)	6
T^8 + T^7 - 5T^6 - 5T^5 + 18T^4 - 20T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 5T^5 + 17T^4 - 20T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 5T^5 + 16T^4 - 20T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 5T^5 + 15T^4 - 20T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 5T^5 + 14T^4 - 20T^3 - 80T^2 + 64T + 256	6
T^8 + T^7 - 5T^6 - 5T^5 + 13T^4 - 20T^3 - 80T^2 + 64T + 256	6
(T - 2)^2 * (T^2 + 3T + 4) (T^4 + 2T^3 + T^2 + 8T + 16)	6
(T^4 + T^3 - 2T^2 + 4T + 16)^2	7
(T^4 + T^3 - 3T^2 + 4T + 16) * (T^4 + T^3 - T^2 + 4*T + 16)	7
T^8 + 2T^7 - 3T^6 + 4T^5 + 42T^4 + 16T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 + 4T^5 + 41T^4 + 16T^3 - 48T^2 + 128*T + 256	7
(T + 2)^2 * (T^2 - 3T + 4) (T^4 + T^3 + 4*T + 16)	7
T^8 + 2T^7 - 3T^6 + 3T^5 + 40T^4 + 12T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 + 3T^5 + 39T^4 + 12T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 + 3T^5 + 38T^4 + 12T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 + 3T^5 + 37T^4 + 12T^3 - 48T^2 + 128*T + 256	7
(T + 2)^2 * (T^6 - 2T^5 + T^4 + 7T^3 + 4T^2 - 32T + 64)	7
T^8 + 2T^7 - 3T^6 + 2T^5 + 36T^4 + 8T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 + 2T^5 + 35T^4 + 8T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 + 2T^5 + 34T^4 + 8T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 + 2T^5 + 33T^4 + 8T^3 - 48T^2 + 128*T + 256	7
(T + 2)^2 * (T^2 - 2T + 4) (T^4 - 3*T^2 + 16)	7
T^8 + 2T^7 - 3T^6 + T^5 + 32T^4 + 4T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 + T^5 + 31T^4 + 4T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 + T^5 + 30T^4 + 4T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 + T^5 + 29T^4 + 4T^3 - 48T^2 + 128T + 256	7
(T + 2)^2 * (T^6 - 2T^5 + T^4 + 5T^3 + 4T^2 - 32T + 64)	7
T^8 + 2T^7 - 3T^6 + 29T^4 - 48T^2 + 128*T + 256	7
(T^4 - 4T^2 + 16) (T^4 + 2T^3 + T^2 + 8T + 16)	7
T^8 + 2T^7 - 3T^6 + 27T^4 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 + 26T^4 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 + 25T^4 - 48T^2 + 128*T + 256	7
(T + 2)^2 * (T^6 - 2T^5 + T^4 + 4T^3 + 4T^2 - 32T + 64)	7
T^8 + 2T^7 - 3T^6 - T^5 + 25T^4 - 4T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 - T^5 + 24T^4 - 4T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 - T^5 + 23T^4 - 4T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 - T^5 + 22T^4 - 4T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 - T^5 + 21T^4 - 4T^3 - 48T^2 + 128T + 256	7
(T + 2)^2 * (T^6 - 2T^5 + T^4 + 3T^3 + 4T^2 - 32T + 64)	7
(T^4 - 5T^2 + 16) (T^4 + 2T^3 + 2T^2 + 8*T + 16)	7
T^8 + 2T^7 - 3T^6 - 2T^5 + 21T^4 - 8T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 2T^5 + 20T^4 - 8T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 2T^5 + 19T^4 - 8T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 2T^5 + 18T^4 - 8T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 2T^5 + 17T^4 - 8T^3 - 48T^2 + 128*T + 256	7
(T + 2)^2 * (T^6 - 2T^5 + T^4 + 2T^3 + 4T^2 - 32T + 64)	7
T^8 + 2T^7 - 3T^6 - 3T^5 + 18T^4 - 12T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 3T^5 + 17T^4 - 12T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 3T^5 + 16T^4 - 12T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 3T^5 + 15T^4 - 12T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 3T^5 + 14T^4 - 12T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 3T^5 + 13T^4 - 12T^3 - 48T^2 + 128*T + 256	7
(T + 2)^2 * (T^6 - 2T^5 + T^4 + T^3 + 4T^2 - 32*T + 64)	7
(T^4 - 6T^2 + 16) (T^4 + 2T^3 + 3T^2 + 8*T + 16)	7
T^8 + 2T^7 - 3T^6 - 4T^5 + 13T^4 - 16T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 4T^5 + 12T^4 - 16T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 4T^5 + 11T^4 - 16T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 4T^5 + 10T^4 - 16T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 4T^5 + 9T^4 - 16T^3 - 48T^2 + 128*T + 256	7
(T + 2)^2 * (T^6 - 2T^5 + T^4 + 4T^2 - 32*T + 64)	7
T^8 + 2T^7 - 3T^6 - 5T^5 + 11T^4 - 20T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 5T^5 + 10T^4 - 20T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 5T^5 + 9T^4 - 20T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 5T^5 + 8T^4 - 20T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 5T^5 + 7T^4 - 20T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 5T^5 + 6T^4 - 20T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 5T^5 + 5T^4 - 20T^3 - 48T^2 + 128*T + 256	7
(T + 2)^2 * (T^6 - 2T^5 + T^4 - T^3 + 4T^2 - 32*T + 64)	7
T^8 + 2T^7 - 3T^6 - 6T^5 + 7T^4 - 24T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 6T^5 + 6T^4 - 24T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 6T^5 + 5T^4 - 24T^3 - 48T^2 + 128*T + 256	7
(T^4 - 7T^2 + 16) (T^4 + 2T^3 + 4T^2 + 8*T + 16)	7
T^8 + 2T^7 - 3T^6 - 6T^5 + 3T^4 - 24T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 6T^5 + 2T^4 - 24T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 6T^5 + T^4 - 24T^3 - 48T^2 + 128T + 256	7
(T + 2)^2 * (T^6 - 2T^5 + T^4 - 2T^3 + 4T^2 - 32T + 64)	7
T^8 + 2T^7 - 3T^6 - 7T^5 + 4T^4 - 28T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 7T^5 + 3T^4 - 28T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 7T^5 + 2T^4 - 28T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 7T^5 + T^4 - 28T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 - 7T^5 - 28T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 - 7T^5 - T^4 - 28T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 - 7T^5 - 2T^4 - 28T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 7T^5 - 3T^4 - 28T^3 - 48T^2 + 128*T + 256	7
(T + 2)^2 * (T^6 - 2T^5 + T^4 - 3T^3 + 4T^2 - 32T + 64)	7
T^8 + 2T^7 - 3T^6 - 8T^5 - 32T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 - 8T^5 - T^4 - 32T^3 - 48T^2 + 128T + 256	7
T^8 + 2T^7 - 3T^6 - 8T^5 - 2T^4 - 32T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 8T^5 - 3T^4 - 32T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 8T^5 - 4T^4 - 32T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 8T^5 - 5T^4 - 32T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 8T^5 - 6T^4 - 32T^3 - 48T^2 + 128*T + 256	7
T^8 + 2T^7 - 3T^6 - 8T^5 - 7T^4 - 32T^3 - 48T^2 + 128*T + 256	7
(T - 2)^2 * (T + 2)^2 * (T^2 - T + 4) * (T^2 + 3*T + 4)	7
(T - 2)^2 * (T^6 + 6T^5 + 17T^4 + 35T^3 + 68T^2 + 96*T + 64)	7
(T + 2)^2 * (T^2 - 2T + 4) (T^4 + T^3 - 2T^2 + 4T + 16)	8
(T^4 + T^3 - 3T^2 + 4T + 16) * (T^4 + 2T^3 + T^2 + 8T + 16)	8
(T + 2)^2 * (T^6 - T^5 + 11T^3 - 16T + 64)	8
T^8 + 3T^7 + 6T^5 + 41T^4 + 24T^3 + 192*T + 256	8
(T + 2)^2 * (T^2 - 3T + 4) (T^4 + 2T^3 + 2T^2 + 8*T + 16)	8
T^8 + 3T^7 + 5T^5 + 37T^4 + 20T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 + 9T^3 - 16T + 64)	8
T^8 + 3T^7 + 4T^5 + 33T^4 + 16T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 + 8T^3 - 16T + 64)	8
T^8 + 3T^7 + 3T^5 + 29T^4 + 12T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 + 7T^3 - 16T + 64)	8
T^8 + 3T^7 + 2T^5 + 25T^4 + 8T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 + 6T^3 - 16T + 64)	8
T^8 + 3T^7 + T^5 + 22T^4 + 4T^3 + 192T + 256	8
T^8 + 3T^7 + T^5 + 21T^4 + 4T^3 + 192T + 256	8
(T + 2)^2 * (T^6 - T^5 + 5T^3 - 16T + 64)	8
T^8 + 3T^7 + 18T^4 + 192*T + 256	8
T^8 + 3T^7 + 17T^4 + 192*T + 256	8
(T + 2)^2 * (T^2 - T + 4) * (T^4 - 4*T^2 + 16)	8
T^8 + 3T^7 - T^5 + 14T^4 - 4T^3 + 192T + 256	8
T^8 + 3T^7 - T^5 + 13T^4 - 4T^3 + 192T + 256	8
(T + 2)^2 * (T^6 - T^5 + 3T^3 - 16T + 64)	8
T^8 + 3T^7 - 2T^5 + 10T^4 - 8T^3 + 192*T + 256	8
T^8 + 3T^7 - 2T^5 + 9T^4 - 8T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 + 2T^3 - 16T + 64)	8
(T^4 - 5T^2 + 16) (T^4 + 3T^3 + 5T^2 + 12*T + 16)	8
T^8 + 3T^7 - 3T^5 + 6T^4 - 12T^3 + 192*T + 256	8
T^8 + 3T^7 - 3T^5 + 5T^4 - 12T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 + T^3 - 16*T + 64)	8
T^8 + 3T^7 - 4T^5 + 3T^4 - 16T^3 + 192*T + 256	8
T^8 + 3T^7 - 4T^5 + 2T^4 - 16T^3 + 192*T + 256	8
T^8 + 3T^7 - 4T^5 + T^4 - 16T^3 + 192T + 256	8
(T + 2)^2 * (T^6 - T^5 - 16*T + 64)	8
T^8 + 3T^7 - 5T^5 - T^4 - 20T^3 + 192T + 256	8
T^8 + 3T^7 - 5T^5 - 2T^4 - 20T^3 + 192*T + 256	8
T^8 + 3T^7 - 5T^5 - 3T^4 - 20T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 - T^3 - 16*T + 64)	8
(T^4 - 6T^2 + 16) (T^4 + 3T^3 + 6T^2 + 12*T + 16)	8
T^8 + 3T^7 - 6T^5 - 5T^4 - 24T^3 + 192*T + 256	8
T^8 + 3T^7 - 6T^5 - 6T^4 - 24T^3 + 192*T + 256	8
T^8 + 3T^7 - 6T^5 - 7T^4 - 24T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 - 2T^3 - 16T + 64)	8
T^8 + 3T^7 - 7T^5 - 8T^4 - 28T^3 + 192*T + 256	8
T^8 + 3T^7 - 7T^5 - 9T^4 - 28T^3 + 192*T + 256	8
T^8 + 3T^7 - 7T^5 - 10T^4 - 28T^3 + 192*T + 256	8
T^8 + 3T^7 - 7T^5 - 11T^4 - 28T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 - 3T^3 - 16T + 64)	8
T^8 + 3T^7 - 8T^5 - 12T^4 - 32T^3 + 192*T + 256	8
T^8 + 3T^7 - 8T^5 - 13T^4 - 32T^3 + 192*T + 256	8
T^8 + 3T^7 - 8T^5 - 14T^4 - 32T^3 + 192*T + 256	8
T^8 + 3T^7 - 8T^5 - 15T^4 - 32T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 - 4T^3 - 16T + 64)	8
T^8 + 3T^7 - 9T^5 - 15T^4 - 36T^3 + 192*T + 256	8
T^8 + 3T^7 - 9T^5 - 16T^4 - 36T^3 + 192*T + 256	8
(T^4 - 7T^2 + 16) (T^4 + 3T^3 + 7T^2 + 12*T + 16)	8
T^8 + 3T^7 - 9T^5 - 18T^4 - 36T^3 + 192*T + 256	8
T^8 + 3T^7 - 9T^5 - 19T^4 - 36T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 - 5T^3 - 16T + 64)	8
T^8 + 3T^7 - 10T^5 - 19T^4 - 40T^3 + 192*T + 256	8
T^8 + 3T^7 - 10T^5 - 20T^4 - 40T^3 + 192*T + 256	8
T^8 + 3T^7 - 10T^5 - 21T^4 - 40T^3 + 192*T + 256	8
T^8 + 3T^7 - 10T^5 - 22T^4 - 40T^3 + 192*T + 256	8
T^8 + 3T^7 - 10T^5 - 23T^4 - 40T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 - 6T^3 - 16T + 64)	8
T^8 + 3T^7 - 11T^5 - 22T^4 - 44T^3 + 192*T + 256	8
T^8 + 3T^7 - 11T^5 - 23T^4 - 44T^3 + 192*T + 256	8
T^8 + 3T^7 - 11T^5 - 24T^4 - 44T^3 + 192*T + 256	8
T^8 + 3T^7 - 11T^5 - 25T^4 - 44T^3 + 192*T + 256	8
T^8 + 3T^7 - 11T^5 - 26T^4 - 44T^3 + 192*T + 256	8
T^8 + 3T^7 - 11T^5 - 27T^4 - 44T^3 + 192*T + 256	8
(T + 2)^2 * (T^6 - T^5 - 7T^3 - 16T + 64)	8
T^8 + 3T^7 - 12T^5 - 26T^4 - 48T^3 + 192*T + 256	8
T^8 + 3T^7 - 12T^5 - 27T^4 - 48T^3 + 192*T + 256	8
T^8 + 3T^7 - 12T^5 - 28T^4 - 48T^3 + 192*T + 256	8
T^8 + 3T^7 - 12T^5 - 29T^4 - 48T^3 + 192*T + 256	8
T^8 + 3T^7 - 12T^5 - 30T^4 - 48T^3 + 192*T + 256	8
T^8 + 3T^7 - 12T^5 - 31T^4 - 48T^3 + 192*T + 256	8
(T - 2)^2 * (T + 2)^2 * (T^2 + 4) * (T^2 + 3*T + 4)	8
(T + 2)^4 * (T^2 - 2*T + 4)^2	9
(T + 2)^2 * (T^6 + 15*T^3 + 64)	9
(T + 2)^2 * (T^6 + 14*T^3 + 64)	9
(T + 2)^2 * (T^6 + 13*T^3 + 64)	9
(T + 2)^2 * (T^6 + 12*T^3 + 64)	9
(T + 2)^2 * (T^2 - T + 4) * (T^4 + T^3 - 3T^2 + 4T + 16)	9
(T + 2)^2 * (T^6 + 10*T^3 + 64)	9
(T + 2)^2 * (T^2 - 3T + 4) (T^4 + 3T^3 + 5T^2 + 12*T + 16)	9
(T + 2)^2 * (T^6 + 8*T^3 + 64)	9
(T + 2)^2 * (T^6 + 7*T^3 + 64)	9
(T + 2)^2 * (T^6 + 6*T^3 + 64)	9
(T + 2)^2 * (T^6 + 5*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 + 4T^5 + 17T^4 + 16T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 + 4*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 + 3T^5 + 13T^4 + 12T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 + 3*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 + 2T^5 + 9T^4 + 8T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 + 2*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 + T^5 + 5T^4 + 4T^3 + 64T^2 + 256T + 256	9
(T + 2)^2 * (T^6 + T^3 + 64)	9
T^8 + 4T^7 + 4T^6 + T^4 + 64T^2 + 256T + 256	9
(T + 2)^2 * (T^2 + 4) * (T^4 - 4*T^2 + 16)	9
T^8 + 4T^7 + 4T^6 - T^5 - 2T^4 - 4T^3 + 64T^2 + 256T + 256	9
T^8 + 4T^7 + 4T^6 - T^5 - 3T^4 - 4T^3 + 64T^2 + 256T + 256	9
(T + 2)^2 * (T^6 - T^3 + 64)	9
T^8 + 4T^7 + 4T^6 - 2T^5 - 6T^4 - 8T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 2T^5 - 7T^4 - 8T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 2*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 - 3T^5 - 10T^4 - 12T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 3T^5 - 11T^4 - 12T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 3*T^3 + 64)	9
(T^4 - 5T^2 + 16) (T^4 + 4T^3 + 9T^2 + 16*T + 16)	9
T^8 + 4T^7 + 4T^6 - 4T^5 - 14T^4 - 16T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 4T^5 - 15T^4 - 16T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 4*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 - 5T^5 - 17T^4 - 20T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 5T^5 - 18T^4 - 20T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 5T^5 - 19T^4 - 20T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 5*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 - 6T^5 - 21T^4 - 24T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 6T^5 - 22T^4 - 24T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 6T^5 - 23T^4 - 24T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 6*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 - 7T^5 - 24T^4 - 28T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 7T^5 - 25T^4 - 28T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 7T^5 - 26T^4 - 28T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 7T^5 - 27T^4 - 28T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 7*T^3 + 64)	9
(T^4 - 6T^2 + 16) (T^4 + 4T^3 + 10T^2 + 16*T + 16)	9
T^8 + 4T^7 + 4T^6 - 8T^5 - 29T^4 - 32T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 8T^5 - 30T^4 - 32T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 8T^5 - 31T^4 - 32T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 8*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 - 9T^5 - 31T^4 - 36T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 9T^5 - 32T^4 - 36T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 9T^5 - 33T^4 - 36T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 9T^5 - 34T^4 - 36T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 9T^5 - 35T^4 - 36T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^2 + 3T + 4) (T^4 - 3T^3 + 5T^2 - 12*T + 16)	9
T^8 + 4T^7 + 4T^6 - 10T^5 - 35T^4 - 40T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 10T^5 - 36T^4 - 40T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 10T^5 - 37T^4 - 40T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 10T^5 - 38T^4 - 40T^3 + 64T^2 + 256*T + 256	9
(T^2 + 3T + 4) (T^6 + T^5 - 3T^4 - 5T^3 - 12T^2 + 16T + 64)	9
(T + 2)^2 * (T^6 - 10*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 - 11T^5 - 39T^4 - 44T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 11T^5 - 40T^4 - 44T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 11T^5 - 41T^4 - 44T^3 + 64T^2 + 256*T + 256	9
(T^2 + 3T + 4) (T^6 + T^5 - 3T^4 - 6T^3 - 12T^2 + 16T + 64)	9
T^8 + 4T^7 + 4T^6 - 11T^5 - 43T^4 - 44T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^2 + T + 4) * (T^4 - T^3 - 3T^2 - 4T + 16)	9
T^8 + 4T^7 + 4T^6 - 12T^5 - 42T^4 - 48T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 12T^5 - 43T^4 - 48T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 12T^5 - 44T^4 - 48T^3 + 64T^2 + 256*T + 256	9
(T^2 + T + 4) * (T^2 + 3T + 4) (T^4 - 7*T^2 + 16)	9
T^8 + 4T^7 + 4T^6 - 12T^5 - 46T^4 - 48T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 12T^5 - 47T^4 - 48T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 12*T^3 + 64)	9
(T^2 + T + 4) * (T^6 + 3T^5 - 3T^4 - 22T^3 - 12T^2 + 48*T + 64)	9
T^8 + 4T^7 + 4T^6 - 13T^5 - 47T^4 - 52T^3 + 64T^2 + 256*T + 256	9
(T^2 + 3T + 4) (T^6 + T^5 - 3T^4 - 8T^3 - 12T^2 + 16T + 64)	9
T^8 + 4T^7 + 4T^6 - 13T^5 - 49T^4 - 52T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 13T^5 - 50T^4 - 52T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 13T^5 - 51T^4 - 52T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 13*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 - 14T^5 - 49T^4 - 56T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 14T^5 - 50T^4 - 56T^3 + 64T^2 + 256*T + 256	9
(T^2 + 3T + 4) (T^6 + T^5 - 3T^4 - 9T^3 - 12T^2 + 16T + 64)	9
T^8 + 4T^7 + 4T^6 - 14T^5 - 52T^4 - 56T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 14T^5 - 53T^4 - 56T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 14T^5 - 54T^4 - 56T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 14T^5 - 55T^4 - 56T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 14*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 - 15T^5 - 52T^4 - 60T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 15T^5 - 53T^4 - 60T^3 + 64T^2 + 256*T + 256	9
(T^2 + 3T + 4) (T^6 + T^5 - 3T^4 - 10T^3 - 12T^2 + 16T + 64)	9
T^8 + 4T^7 + 4T^6 - 15T^5 - 55T^4 - 60T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 15T^5 - 56T^4 - 60T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 15T^5 - 57T^4 - 60T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 15T^5 - 58T^4 - 60T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 15T^5 - 59T^4 - 60T^3 + 64T^2 + 256*T + 256	9
(T + 2)^2 * (T^6 - 15*T^3 + 64)	9
T^8 + 4T^7 + 4T^6 - 16T^5 - 56T^4 - 64T^3 + 64T^2 + 256*T + 256	9
(T^2 + 3T + 4) (T^6 + T^5 - 3T^4 - 11T^3 - 12T^2 + 16T + 64)	9
T^8 + 4T^7 + 4T^6 - 16T^5 - 58T^4 - 64T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 16T^5 - 59T^4 - 64T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 16T^5 - 60T^4 - 64T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 16T^5 - 61T^4 - 64T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 16T^5 - 62T^4 - 64T^3 + 64T^2 + 256*T + 256	9
T^8 + 4T^7 + 4T^6 - 16T^5 - 63T^4 - 64T^3 + 64T^2 + 256*T + 256	9
(T - 2)^2 * (T + 2)^2 * (T^2 + 2*T + 4)^2	9
T^8 + 4T^7 + 4T^6 - 17T^5 - 59T^4 - 68T^3 + 64T^2 + 256*T + 256	9
(T - 2)^2 * (T^2 + 3T + 4) (T^4 + 5T^3 + 13T^2 + 20*T + 16)	9
(T + 2)^4 * (T^4 - 3T^3 + 9T^2 - 12*T + 16)	10
(T + 2)^2 * (T^6 + T^5 + T^4 + 11T^3 + 4T^2 + 16*T + 64)	10
(T + 2)^2 * (T^6 + T^5 + T^4 + 10T^3 + 4T^2 + 16*T + 64)	10
(T + 2)^2 * (T^6 + T^5 + T^4 + 9T^3 + 4T^2 + 16*T + 64)	10
(T + 2)^2 * (T^2 + 4) * (T^4 + T^3 - 3T^2 + 4T + 16)	10
(T + 2)^2 * (T^6 + T^5 + T^4 + 7T^3 + 4T^2 + 16*T + 64)	10
(T + 2)^2 * (T^6 + T^5 + T^4 + 6T^3 + 4T^2 + 16*T + 64)	10
(T + 2)^2 * (T^2 - 3T + 4) (T^4 + 4T^3 + 9T^2 + 16*T + 16)	10
(T + 2)^2 * (T^6 + T^5 + T^4 + 4T^3 + 4T^2 + 16*T + 64)	10
(T + 2)^2 * (T^6 + T^5 + T^4 + 3T^3 + 4T^2 + 16*T + 64)	10
(T + 2)^2 * (T^6 + T^5 + T^4 + 2T^3 + 4T^2 + 16*T + 64)	10
T^8 + 5T^7 + 9T^6 + 9T^5 + 13T^4 + 36T^3 + 144T^2 + 320*T + 256	10
(T + 2)^2 * (T^6 + T^5 + T^4 + T^3 + 4T^2 + 16T + 64)	10
T^8 + 5T^7 + 9T^6 + 8T^5 + 9T^4 + 32T^3 + 144T^2 + 320*T + 256	10
(T + 2)^2 * (T^6 + T^5 + T^4 + 4T^2 + 16T + 64)	10
T^8 + 5T^7 + 9T^6 + 7T^5 + 5T^4 + 28T^3 + 144T^2 + 320*T + 256	10
(T + 2)^2 * (T^6 + T^5 + T^4 - T^3 + 4T^2 + 16T + 64)	10
T^8 + 5T^7 + 9T^6 + 6T^5 + T^4 + 24T^3 + 144T^2 + 320T + 256	10
(T + 2)^2 * (T^6 + T^5 + T^4 - 2T^3 + 4T^2 + 16*T + 64)	10
T^8 + 5T^7 + 9T^6 + 5T^5 - 2T^4 + 20T^3 + 144T^2 + 320*T + 256	10
T^8 + 5T^7 + 9T^6 + 5T^5 - 3T^4 + 20T^3 + 144T^2 + 320*T + 256	10
(T + 2)^2 * (T^2 + T + 4) * (T^4 - 3*T^2 + 16)	10
T^8 + 5T^7 + 9T^6 + 4T^5 - 6T^4 + 16T^3 + 144T^2 + 320*T + 256	10
T^8 + 5T^7 + 9T^6 + 4T^5 - 7T^4 + 16T^3 + 144T^2 + 320*T + 256	10
(T + 2)^2 * (T^6 + T^5 + T^4 - 4T^3 + 4T^2 + 16*T + 64)	10
T^8 + 5T^7 + 9T^6 + 3T^5 - 10T^4 + 12T^3 + 144T^2 + 320*T + 256	10
T^8 + 5T^7 + 9T^6 + 3T^5 - 11T^4 + 12T^3 + 144T^2 + 320*T + 256	10
(T + 2)^2 * (T^6 + T^5 + T^4 - 5T^3 + 4T^2 + 16*T + 64)	10
T^8 + 5T^7 + 9T^6 + 2T^5 - 13T^4 + 8T^3 + 144T^2 + 320*T + 256	10
T^8 + 5T^7 + 9T^6 + 2T^5 - 14T^4 + 8T^3 + 144T^2 + 320*T + 256	10
T^8 + 5T^7 + 9T^6 + 2T^5 - 15T^4 + 8T^3 + 144T^2 + 320*T + 256	10
(T + 2)^2 * (T^6 + T^5 + T^4 - 6T^3 + 4T^2 + 16*T + 64)	10
T^8 + 5T^7 + 9T^6 + T^5 - 17T^4 + 4T^3 + 144T^2 + 320T + 256	10
T^8 + 5T^7 + 9T^6 + T^5 - 18T^4 + 4T^3 + 144T^2 + 320T + 256	10
T^8 + 5T^7 + 9T^6 + T^5 - 19T^4 + 4T^3 + 144T^2 + 320T + 256	10
(T + 2)^2 * (T^2 + 3T + 4) (T^4 - 2T^3 + 3T^2 - 8*T + 16)	10
(T^4 - 4T^2 + 16) (T^4 + 5T^3 + 13T^2 + 20*T + 16)	10
T^8 + 5T^7 + 9T^6 - 21T^4 + 144T^2 + 320*T + 256	10
T^8 + 5T^7 + 9T^6 - 22T^4 + 144T^2 + 320*T + 256	10
(T^2 + 3T + 4) (T^6 + 2T^5 - T^4 - 5T^3 - 4T^2 + 32T + 64)	10
(T + 2)^2 * (T^6 + T^5 + T^4 - 8T^3 + 4T^2 + 16*T + 64)	10
T^8 + 5T^7 + 9T^6 - T^5 - 24T^4 - 4T^3 + 144T^2 + 320T + 256	10
T^8 + 5T^7 + 9T^6 - T^5 - 25T^4 - 4T^3 + 144T^2 + 320T + 256	10
(T^2 + 3T + 4) (T^6 + 2T^5 - T^4 - 6T^3 - 4T^2 + 32T + 64)	10
T^8 + 5T^7 + 9T^6 - T^5 - 27T^4 - 4T^3 + 144T^2 + 320T + 256	10
(T + 2)^2 * (T^6 + T^5 + T^4 - 9T^3 + 4T^2 + 16*T + 64)	10
T^8 + 5T^7 + 9T^6 - 2T^5 - 27T^4 - 8T^3 + 144T^2 + 320*T + 256	10
T^8 + 5T^7 + 9T^6 - 2T^5 - 28T^4 - 8T^3 + 144T^2 + 320*T + 256	10
(T^2 + 3T + 4) (T^6 + 2T^5 - T^4 - 7T^3 - 4T^2 + 32T + 64)	10
T^8 + 5T^7 + 9T^6 - 2T^5 - 30T^4 - 8T^3 + 144T^2 + 320*T + 256	10
T^8 + 5T^7 + 9T^6 - 2T^5 - 31T^4 - 8T^3 + 144T^2 + 320*T + 256	10
(T + 2)^2 * (T^2 + 2T + 4) (T^4 - T^3 - T^2 - 4*T + 16)	10
T^8 + 5T^7 + 9T^6 - 3T^5 - 31T^4 - 12T^3 + 144T^2 + 320*T + 256	10
(T^2 + 3T + 4) (T^6 + 2T^5 - T^4 - 8T^3 - 4T^2 + 32T + 64)	10
T^8 + 5T^7 + 9T^6 - 3T^5 - 33T^4 - 12T^3 + 144T^2 + 320*T + 256	10
(T^2 + 2T + 4) (T^6 + 3T^5 - T^4 - 13T^3 - 4T^2 + 48T + 64)	10
T^8 + 5T^7 + 9T^6 - 3T^5 - 35T^4 - 12T^3 + 144T^2 + 320*T + 256	10
T^8 + 5T^7 + 9T^6 - 4T^5 - 34T^4 - 16T^3 + 144T^2 + 320*T + 256	10
(T^2 + 3T + 4) (T^6 + 2T^5 - T^4 - 9T^3 - 4T^2 + 32T + 64)	10
(T^2 + 2T + 4) (T^6 + 3T^5 - T^4 - 14T^3 - 4T^2 + 48T + 64)	10
T^8 + 5T^7 + 9T^6 - 4T^5 - 37T^4 - 16T^3 + 144T^2 + 320*T + 256	10
(T^2 + 2T + 4) (T^2 + 3T + 4) (T^4 - 5*T^2 + 16)	10
T^8 + 5T^7 + 9T^6 - 5T^5 - 39T^4 - 20T^3 + 144T^2 + 320*T + 256	10
(T^2 + 3T + 4) (T^6 + 2T^5 - T^4 - 11T^3 - 4T^2 + 32T + 64)	10
T^8 + 5T^7 + 9T^6 - 6T^5 - 42T^4 - 24T^3 + 144T^2 + 320*T + 256	10
(T^2 + 3T + 4) (T^6 + 2T^5 - T^4 - 12T^3 - 4T^2 + 32T + 64)	10
(T^2 + 3T + 4) (T^6 + 2T^5 - T^4 - 13T^3 - 4T^2 + 32T + 64)	10
(T^2 + 3T + 4)^2 (T^4 - T^3 - 2T^2 - 4T + 16)	10
(T + 2)^4 * (T^4 - 2T^3 + 7T^2 - 8*T + 16)	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + 11T^3 + 12T^2 + 32*T + 64)	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + 10T^3 + 12T^2 + 32*T + 64)	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + 9T^3 + 12T^2 + 32*T + 64)	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + 8T^3 + 12T^2 + 32*T + 64)	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + 7T^3 + 12T^2 + 32*T + 64)	11
(T + 2)^2 * (T^2 + T + 4) * (T^4 + T^3 - 2T^2 + 4T + 16)	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + 5T^3 + 12T^2 + 32*T + 64)	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + 4T^3 + 12T^2 + 32*T + 64)	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + 3T^3 + 12T^2 + 32*T + 64)	11
(T^4 + T^3 - 3T^2 + 4T + 16) * (T^4 + 5T^3 + 13T^2 + 20*T + 16)	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + 2T^3 + 12T^2 + 32*T + 64)	11
T^8 + 6T^7 + 15T^6 + 21T^5 + 29T^4 + 84T^3 + 240T^2 + 384*T + 256	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + T^3 + 12T^2 + 32T + 64)	11
T^8 + 6T^7 + 15T^6 + 20T^5 + 25T^4 + 80T^3 + 240T^2 + 384*T + 256	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 + 12T^2 + 32T + 64)	11
T^8 + 6T^7 + 15T^6 + 19T^5 + 22T^4 + 76T^3 + 240T^2 + 384*T + 256	11
T^8 + 6T^7 + 15T^6 + 19T^5 + 21T^4 + 76T^3 + 240T^2 + 384*T + 256	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 - T^3 + 12T^2 + 32T + 64)	11
T^8 + 6T^7 + 15T^6 + 18T^5 + 18T^4 + 72T^3 + 240T^2 + 384*T + 256	11
T^8 + 6T^7 + 15T^6 + 18T^5 + 17T^4 + 72T^3 + 240T^2 + 384*T + 256	11
(T + 2)^2 * (T^2 - 3T + 4) (T^2 + 2T + 4) (T^2 + 3*T + 4)	11
(T^2 + 2T + 4) (T^6 + 4T^5 + 3T^4 - 5T^3 + 12T^2 + 64*T + 64)	11
(T^2 + 3T + 4) (T^6 + 3T^5 + 2T^4 - T^3 + 8T^2 + 48T + 64)	11
(T + 2)^2 * (T^6 + 2T^5 + 3T^4 - 3T^3 + 12T^2 + 32*T + 64)	11
T^8 + 6T^7 + 15T^6 + 16T^5 + 11T^4 + 64T^3 + 240T^2 + 384*T + 256	11
(T^2 + 3T + 4) (T^6 + 3T^5 + 2T^4 - 2T^3 + 8T^2 + 48*T + 64)	11
T^8 + 6T^7 + 15T^6 + 16T^5 + 9T^4 + 64T^3 + 240T^2 + 384*T + 256	11
(T^2 + 3T + 4) (T^6 + 3T^5 + 2T^4 - 3T^3 + 8T^2 + 48*T + 64)	11
(T^2 + 3T + 4) (T^6 + 3T^5 + 2T^4 - 4T^3 + 8T^2 + 48*T + 64)	11
(T^2 + 3T + 4) (T^6 + 3T^5 + 2T^4 - 5T^3 + 8T^2 + 48*T + 64)	11
(T^2 + 3T + 4)^2 (T^4 - 2*T^2 + 16)	11
(T + 2)^4 * (T^2 - 2T + 4) (T^2 + T + 4)	12
(T + 2)^2 * (T^6 + 3T^5 + 6T^4 + 15T^3 + 24T^2 + 48*T + 64)	12
(T + 2)^2 * (T^6 + 3T^5 + 6T^4 + 14T^3 + 24T^2 + 48*T + 64)	12
(T + 2)^2 * (T^6 + 3T^5 + 6T^4 + 13T^3 + 24T^2 + 48*T + 64)	12
(T + 2)^2 * (T^6 + 3T^5 + 6T^4 + 12T^3 + 24T^2 + 48*T + 64)	12
(T + 2)^2 * (T^6 + 3T^5 + 6T^4 + 11T^3 + 24T^2 + 48*T + 64)	12
(T + 2)^2 * (T^6 + 3T^5 + 6T^4 + 10T^3 + 24T^2 + 48*T + 64)	12
(T + 2)^2 * (T^6 + 3T^5 + 6T^4 + 9T^3 + 24T^2 + 48*T + 64)	12
T^8 + 7T^7 + 22T^6 + 44T^5 + 81T^4 + 176T^3 + 352T^2 + 448*T + 256	12
(T + 2)^2 * (T^2 + 2T + 4) (T^4 + T^3 + 4*T + 16)	12
T^8 + 7T^7 + 22T^6 + 43T^5 + 77T^4 + 172T^3 + 352T^2 + 448*T + 256	12
(T + 2)^2 * (T^6 + 3T^5 + 6T^4 + 7T^3 + 24T^2 + 48*T + 64)	12
T^8 + 7T^7 + 22T^6 + 42T^5 + 73T^4 + 168T^3 + 352T^2 + 448*T + 256	12
(T + 2)^2 * (T^2 + 3T + 4) (T^4 + 2*T^2 + 16)	12
T^8 + 7T^7 + 22T^6 + 41T^5 + 70T^4 + 164T^3 + 352T^2 + 448*T + 256	12
(T^2 + 3T + 4) (T^6 + 4T^5 + 6T^4 + 7T^3 + 24T^2 + 64*T + 64)	12
(T^2 + 3T + 4) (T^6 + 4T^5 + 6T^4 + 6T^3 + 24T^2 + 64*T + 64)	12
(T^2 + 3T + 4)^2 (T^4 + T^3 - T^2 + 4*T + 16)	12
(T + 2)^4 * (T^4 + 6*T^2 + 16)	13
(T + 2)^2 * (T^6 + 4T^5 + 10T^4 + 23T^3 + 40T^2 + 64*T + 64)	13
(T + 2)^2 * (T^6 + 4T^5 + 10T^4 + 22T^3 + 40T^2 + 64*T + 64)	13
(T + 2)^2 * (T^6 + 4T^5 + 10T^4 + 21T^3 + 40T^2 + 64*T + 64)	13
(T + 2)^2 * (T^2 + 2T + 4) (T^4 + 2T^3 + 2T^2 + 8*T + 16)	13
(T + 2)^2 * (T^6 + 4T^5 + 10T^4 + 19T^3 + 40T^2 + 64*T + 64)	13
(T + 2)^2 * (T^6 + 4T^5 + 10T^4 + 18T^3 + 40T^2 + 64*T + 64)	13
T^8 + 8T^7 + 30T^6 + 73T^5 + 149T^4 + 292T^3 + 480T^2 + 512*T + 256	13
(T + 2)^2 * (T^2 + 3T + 4) (T^4 + T^3 + 3T^2 + 4T + 16)	13
(T^2 + 3T + 4)^2 (T^4 + 2T^3 + T^2 + 8T + 16)	13
(T + 2)^4 * (T^4 + T^3 + 7T^2 + 4T + 16)	14
(T + 2)^2 * (T^6 + 5T^5 + 15T^4 + 35T^3 + 60T^2 + 80*T + 64)	14
(T + 2)^2 * (T^2 + 2T + 4) (T^4 + 3T^3 + 5T^2 + 12*T + 16)	14
(T + 2)^2 * (T^6 + 5T^5 + 15T^4 + 33T^3 + 60T^2 + 80*T + 64)	14
(T + 2)^2 * (T^6 + 5T^5 + 15T^4 + 32T^3 + 60T^2 + 80*T + 64)	14
(T + 2)^2 * (T^2 - T + 4) * (T^2 + 3*T + 4)^2	14
(T^2 + 3T + 4) (T^6 + 6T^5 + 17T^4 + 35T^3 + 68T^2 + 96*T + 64)	14
(T + 2)^4 * (T^2 + T + 4)^2	15
(T + 2)^2 * (T^6 + 6T^5 + 21T^4 + 51T^3 + 84T^2 + 96*T + 64)	15
(T + 2)^2 * (T^2 + 2T + 4) (T^4 + 4T^3 + 9T^2 + 16*T + 16)	15
(T + 2)^2 * (T^6 + 6T^5 + 21T^4 + 49T^3 + 84T^2 + 96*T + 64)	15
(T + 2)^2 * (T^2 + 4) * (T^2 + 3*T + 4)^2	15
(T + 2)^2 * (T^2 + 3T + 4) (T^2 + 2*T + 4)^2	16
(T^2 + 3T + 4)^2 (T^4 + 5T^3 + 13T^2 + 20*T + 16)	16

Back to Genus 4

GF(64)/GF(4)	N
(T - 2)^4 * (T^2 + 2*T + 4)^2	1
(T - 2)^2 * (T^2 + T + 4) * (T^2 + 2*T + 4)^2	6
(T^2 + 2T + 4)^2 (T^4 - 2T^3 + T^2 - 8T + 16)	7
(T^2 + 2T + 4) (T^6 - 14*T^3 + 64)	7
(T^2 + 2T + 4) (T^6 + T^5 - T^4 - 15T^3 - 4T^2 + 16*T + 64)	8
(T - 2)^2 * (T^2 + 3T + 4) (T^2 + 2*T + 4)^2	8
(T^2 + T + 4)^2 * (T^2 + 2*T + 4)^2	11
(T^2 + T + 4) * (T^2 + 3T + 4) (T^2 + 2*T + 4)^2	13
(T^2 + 2T + 4)^2 (T^2 + 3*T + 4)^2	15

Back to Genus 4

GF(25)/GF(5)	N
T^8 - 2T^7 - 9T^6 + 10T^5 + 41T^4 + 50T^3 - 225T^2 - 250*T + 625	4
(T^2 - 5)^2 * (T^4 - 2T^3 + T^2 - 10T + 25)	4
T^8 - 2T^7 - 9T^6 + 9T^5 + 45T^4 + 45T^3 - 225T^2 - 250*T + 625	4
(T^4 - 2T^3 - 10T + 25) * (T^4 - 9*T^2 + 25)	4
T^8 - 2T^7 - 9T^6 + 8T^5 + 49T^4 + 40T^3 - 225T^2 - 250*T + 625	4
T^8 - 2T^7 - 9T^6 + 7T^5 + 54T^4 + 35T^3 - 225T^2 - 250*T + 625	4
(T^4 - 2T^3 - T^2 - 10T + 25) * (T^4 - 8*T^2 + 25)	4
T^8 - 2T^7 - 9T^6 + 5T^5 + 63T^4 + 25T^3 - 225T^2 - 250*T + 625	4
T^8 - 2T^7 - 9T^6 + 4T^5 + 67T^4 + 20T^3 - 225T^2 - 250*T + 625	4
T^8 - 2T^7 - 9T^6 + 2T^5 + 76T^4 + 10T^3 - 225T^2 - 250*T + 625	4
(T^4 - T^3 - 5T^2 - 5T + 25)^2	4
(T^2 - 4T + 5) (T^6 + 3T^5 - 3T^4 - 22T^3 - 15T^2 + 75*T + 125)	5
T^8 - T^7 - 10T^6 + 5T^5 + 57T^4 + 25T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 5T^5 + 56T^4 + 25T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 5T^5 + 55T^4 + 25T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 5T^5 + 54T^4 + 25T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 5T^5 + 53T^4 + 25T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 5T^5 + 52T^4 + 25T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 5T^5 + 51T^4 + 25T^3 - 250T^2 - 125T + 625	5
(T^2 - 5)^2 * (T^4 - T^3 - 5*T + 25)	5
(T^2 - 4T + 5) (T^6 + 3T^5 - 3T^4 - 23T^3 - 15T^2 + 75*T + 125)	5
T^8 - T^7 - 10T^6 + 4T^5 + 61T^4 + 20T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 4T^5 + 60T^4 + 20T^3 - 250T^2 - 125T + 625	5
(T^4 - T^3 - T^2 - 5T + 25) (T^4 - 9*T^2 + 25)	5
T^8 - T^7 - 10T^6 + 4T^5 + 58T^4 + 20T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 4T^5 + 57T^4 + 20T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 4T^5 + 56T^4 + 20T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 4T^5 + 55T^4 + 20T^3 - 250T^2 - 125T + 625	5
(T^2 - 4T + 5) (T^2 + 3T + 5) (T^4 - 8*T^2 + 25)	5
T^8 - T^7 - 10T^6 + 3T^5 + 65T^4 + 15T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 3T^5 + 64T^4 + 15T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 3T^5 + 63T^4 + 15T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 3T^5 + 62T^4 + 15T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 3T^5 + 61T^4 + 15T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 3T^5 + 60T^4 + 15T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 3T^5 + 59T^4 + 15T^3 - 250T^2 - 125T + 625	5
(T^4 - T^3 - 3T^2 - 5T + 25) * (T^4 - 7*T^2 + 25)	5
(T^2 - 4T + 5) (T^6 + 3T^5 - 3T^4 - 25T^3 - 15T^2 + 75*T + 125)	5
T^8 - T^7 - 10T^6 + 2T^5 + 69T^4 + 10T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 2T^5 + 68T^4 + 10T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 2T^5 + 67T^4 + 10T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 2T^5 + 66T^4 + 10T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 2T^5 + 65T^4 + 10T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 2T^5 + 64T^4 + 10T^3 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + T^5 + 75T^4 + 5T^3 - 250T^2 - 125*T + 625	5
(T^2 - 4T + 5) (T^2 + 4T + 5) (T^4 - T^3 - 4T^2 - 5T + 25)	5
T^8 - T^7 - 10T^6 + T^5 + 73T^4 + 5T^3 - 250T^2 - 125*T + 625	5
T^8 - T^7 - 10T^6 + T^5 + 72T^4 + 5T^3 - 250T^2 - 125*T + 625	5
T^8 - T^7 - 10T^6 + T^5 + 71T^4 + 5T^3 - 250T^2 - 125*T + 625	5
T^8 - T^7 - 10T^6 + T^5 + 70T^4 + 5T^3 - 250T^2 - 125*T + 625	5
T^8 - T^7 - 10T^6 + T^5 + 69T^4 + 5T^3 - 250T^2 - 125*T + 625	5
T^8 - T^7 - 10T^6 + T^5 + 68T^4 + 5T^3 - 250T^2 - 125*T + 625	5
(T^2 - 4T + 5) (T^6 + 3T^5 - 3T^4 - 27T^3 - 15T^2 + 75*T + 125)	5
T^8 - T^7 - 10T^6 + 77T^4 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 76T^4 - 250T^2 - 125T + 625	5
(T^4 - T^3 - 5T^2 - 5T + 25) * (T^4 - 5*T^2 + 25)	5
T^8 - T^7 - 10T^6 + 74T^4 - 250T^2 - 125T + 625	5
T^8 - T^7 - 10T^6 + 73T^4 - 250T^2 - 125T + 625	5
T^8 - 10T^6 + 2T^5 + 67T^4 + 10T^3 - 250*T^2 + 625	6
(T^2 - 4T + 5) (T^6 + 4T^5 + T^4 - 14T^3 + 5T^2 + 100T + 125)	6
T^8 - 10T^6 + 2T^5 + 65T^4 + 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 + 2T^5 + 64T^4 + 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 + 2T^5 + 63T^4 + 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 + 2T^5 + 62T^4 + 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 + 2T^5 + 61T^4 + 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 + 2T^5 + 60T^4 + 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 + 2T^5 + 59T^4 + 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 + T^5 + 71T^4 + 5T^3 - 250T^2 + 625	6
(T^2 - 4T + 5) (T^6 + 4T^5 + T^4 - 15T^3 + 5T^2 + 100T + 125)	6
T^8 - 10T^6 + T^5 + 69T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 68T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 67T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 66T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 65T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 64T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 63T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 62T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 61T^4 + 5T^3 - 250T^2 + 625	6
(T^4 - T^3 - 4T^2 - 5T + 25) * (T^4 + T^3 - 5T^2 + 5T + 25)	6
T^8 - 10T^6 + T^5 + 59T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 58T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 57T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 56T^4 + 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 + T^5 + 55T^4 + 5T^3 - 250T^2 + 625	6
(T^4 - 5*T^2 + 25)^2	6
(T^2 - 4T + 5) (T^2 + 4T + 5) (T^4 - 4*T^2 + 25)	6
T^8 - 10T^6 + 73T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 72T^4 - 250*T^2 + 625	6
(T^4 - 7T^2 + 25) (T^4 - 3*T^2 + 25)	6
T^8 - 10T^6 + 70T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 69T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 68T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 67T^4 - 250*T^2 + 625	6
(T^4 - 8T^2 + 25) (T^4 - 2*T^2 + 25)	6
T^8 - 10T^6 + 65T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 64T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 63T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 62T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 61T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 60T^4 - 250*T^2 + 625	6
(T^4 - 9T^2 + 25) (T^4 - T^2 + 25)	6
T^8 - 10T^6 + 58T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 57T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 56T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 55T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 54T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 53T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 52T^4 - 250*T^2 + 625	6
T^8 - 10T^6 + 51T^4 - 250*T^2 + 625	6
(T^2 - 5)^2 * (T^4 + 25)	6
T^8 - 10T^6 - T^5 + 71T^4 - 5T^3 - 250T^2 + 625	6
(T^2 + 4T + 5) (T^6 - 4T^5 + T^4 + 15T^3 + 5T^2 - 100T + 125)	6
T^8 - 10T^6 - T^5 + 69T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 68T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 67T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 66T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 65T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 64T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 63T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 62T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 61T^4 - 5T^3 - 250T^2 + 625	6
(T^4 - T^3 - 5T^2 - 5T + 25) * (T^4 + T^3 - 4T^2 + 5T + 25)	6
T^8 - 10T^6 - T^5 + 59T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 58T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 57T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 56T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - T^5 + 55T^4 - 5T^3 - 250T^2 + 625	6
T^8 - 10T^6 - 2T^5 + 67T^4 - 10T^3 - 250*T^2 + 625	6
(T^2 + 4T + 5) (T^6 - 4T^5 + T^4 + 14T^3 + 5T^2 - 100T + 125)	6
T^8 - 10T^6 - 2T^5 + 65T^4 - 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 - 2T^5 + 64T^4 - 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 - 2T^5 + 63T^4 - 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 - 2T^5 + 62T^4 - 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 - 2T^5 + 61T^4 - 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 - 2T^5 + 60T^4 - 10T^3 - 250*T^2 + 625	6
T^8 - 10T^6 - 2T^5 + 59T^4 - 10T^3 - 250*T^2 + 625	6
T^8 + T^7 - 9T^6 + T^5 + 71T^4 + 5T^3 - 225T^2 + 125*T + 625	7
(T^4 - 4T^2 + 25) (T^4 + T^3 - 5T^2 + 5T + 25)	7
T^8 + T^7 - 9T^6 + T^5 + 69T^4 + 5T^3 - 225T^2 + 125*T + 625	7
T^8 + T^7 - 9T^6 + T^5 + 68T^4 + 5T^3 - 225T^2 + 125*T + 625	7
T^8 + T^7 - 9T^6 + T^5 + 67T^4 + 5T^3 - 225T^2 + 125*T + 625	7
(T^2 + 4T + 5) (T^6 - 3T^5 - 2T^4 + 23T^3 - 10T^2 - 75*T + 125)	7
T^8 + T^7 - 9T^6 + 71T^4 - 225T^2 + 125T + 625	7
(T^4 - 5T^2 + 25) (T^4 + T^3 - 4T^2 + 5T + 25)	7
T^8 + T^7 - 9T^6 + 69T^4 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 + 68T^4 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 + 67T^4 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 + 66T^4 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 + 65T^4 - 225T^2 + 125T + 625	7
(T^2 - 4T + 5) (T^6 + 5T^5 + 6T^4 - T^3 + 30T^2 + 125T + 125)	7
T^8 + T^7 - 9T^6 + 63T^4 - 225T^2 + 125T + 625	7
(T^2 - 4T + 5) (T^2 + 4T + 5) (T^4 + T^3 - 3T^2 + 5T + 25)	7
T^8 + T^7 - 9T^6 - T^5 + 67T^4 - 5T^3 - 225T^2 + 125*T + 625	7
T^8 + T^7 - 9T^6 - T^5 + 66T^4 - 5T^3 - 225T^2 + 125*T + 625	7
T^8 + T^7 - 9T^6 - T^5 + 65T^4 - 5T^3 - 225T^2 + 125*T + 625	7
T^8 + T^7 - 9T^6 - T^5 + 64T^4 - 5T^3 - 225T^2 + 125*T + 625	7
T^8 + T^7 - 9T^6 - T^5 + 63T^4 - 5T^3 - 225T^2 + 125*T + 625	7
T^8 + T^7 - 9T^6 - T^5 + 62T^4 - 5T^3 - 225T^2 + 125*T + 625	7
(T^2 - 3T + 5) (T^6 + 4T^5 - 2T^4 - 27T^3 - 10T^2 + 100*T + 125)	7
T^8 + T^7 - 9T^6 - T^5 + 60T^4 - 5T^3 - 225T^2 + 125*T + 625	7
T^8 + T^7 - 9T^6 - T^5 + 59T^4 - 5T^3 - 225T^2 + 125*T + 625	7
T^8 + T^7 - 9T^6 - T^5 + 58T^4 - 5T^3 - 225T^2 + 125*T + 625	7
(T^2 - 3T + 5) (T^2 + 4T + 5) (T^4 - 7*T^2 + 25)	7
T^8 + T^7 - 9T^6 - 2T^5 + 63T^4 - 10T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 2T^5 + 62T^4 - 10T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 2T^5 + 61T^4 - 10T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 2T^5 + 60T^4 - 10T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 2T^5 + 59T^4 - 10T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 2T^5 + 58T^4 - 10T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 2T^5 + 57T^4 - 10T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 2T^5 + 56T^4 - 10T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 2T^5 + 55T^4 - 10T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 2T^5 + 54T^4 - 10T^3 - 225T^2 + 125T + 625	7
(T^2 + 4T + 5) (T^6 - 3T^5 - 2T^4 + 20T^3 - 10T^2 - 75*T + 125)	7
T^8 + T^7 - 9T^6 - 3T^5 + 59T^4 - 15T^3 - 225T^2 + 125T + 625	7
(T^4 - 8T^2 + 25) (T^4 + T^3 - T^2 + 5*T + 25)	7
T^8 + T^7 - 9T^6 - 3T^5 + 57T^4 - 15T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 3T^5 + 56T^4 - 15T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 3T^5 + 55T^4 - 15T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 3T^5 + 54T^4 - 15T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 3T^5 + 53T^4 - 15T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 3T^5 + 52T^4 - 15T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 3T^5 + 51T^4 - 15T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 3T^5 + 50T^4 - 15T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 3T^5 + 49T^4 - 15T^3 - 225T^2 + 125T + 625	7
(T^2 + 4T + 5) (T^6 - 3T^5 - 2T^4 + 19T^3 - 10T^2 - 75*T + 125)	7
T^8 + T^7 - 9T^6 - 4T^5 + 55T^4 - 20T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 4T^5 + 54T^4 - 20T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 4T^5 + 53T^4 - 20T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 4T^5 + 52T^4 - 20T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 4T^5 + 51T^4 - 20T^3 - 225T^2 + 125T + 625	7
(T^4 - 9T^2 + 25) (T^4 + T^3 + 5*T + 25)	7
T^8 + T^7 - 9T^6 - 4T^5 + 49T^4 - 20T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 4T^5 + 48T^4 - 20T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 4T^5 + 47T^4 - 20T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 4T^5 + 46T^4 - 20T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 4T^5 + 45T^4 - 20T^3 - 225T^2 + 125T + 625	7
(T^2 + 4T + 5) (T^6 - 3T^5 - 2T^4 + 18T^3 - 10T^2 - 75*T + 125)	7
T^8 + T^7 - 9T^6 - 5T^5 + 51T^4 - 25T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 5T^5 + 50T^4 - 25T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 5T^5 + 49T^4 - 25T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 5T^5 + 48T^4 - 25T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 5T^5 + 47T^4 - 25T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 5T^5 + 46T^4 - 25T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 5T^5 + 45T^4 - 25T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 5T^5 + 44T^4 - 25T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 5T^5 + 43T^4 - 25T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 5T^5 + 42T^4 - 25T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 5T^5 + 41T^4 - 25T^3 - 225T^2 + 125T + 625	7
(T^2 - 5)^2 * (T^4 + T^3 + T^2 + 5*T + 25)	7
(T^2 + 4T + 5) (T^6 - 3T^5 - 2T^4 + 17T^3 - 10T^2 - 75*T + 125)	7
T^8 + T^7 - 9T^6 - 6T^5 + 47T^4 - 30T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 6T^5 + 46T^4 - 30T^3 - 225T^2 + 125T + 625	7
T^8 + T^7 - 9T^6 - 6T^5 + 45T^4 - 30T^3 - 225T^2 + 125T + 625	7
(T^4 + T^3 - 4T^2 + 5T + 25)^2	8
(T^4 + T^3 - 5T^2 + 5T + 25) * (T^4 + T^3 - 3T^2 + 5T + 25)	8
T^8 + 2T^7 - 7T^6 + 2T^5 + 74T^4 + 10T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 + T^5 + 71T^4 + 5T^3 - 175T^2 + 250T + 625	8
T^8 + 2T^7 - 7T^6 + T^5 + 70T^4 + 5T^3 - 175T^2 + 250T + 625	8
T^8 + 2T^7 - 7T^6 + 67T^4 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 + 66T^4 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 + 65T^4 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - T^5 + 63T^4 - 5T^3 - 175T^2 + 250T + 625	8
T^8 + 2T^7 - 7T^6 - T^5 + 62T^4 - 5T^3 - 175T^2 + 250T + 625	8
T^8 + 2T^7 - 7T^6 - T^5 + 61T^4 - 5T^3 - 175T^2 + 250T + 625	8
T^8 + 2T^7 - 7T^6 - 2T^5 + 58T^4 - 10T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 2T^5 + 57T^4 - 10T^3 - 175T^2 + 250*T + 625	8
(T^2 - 4T + 5) (T^2 + 4T + 5) (T^4 + 2T^3 - T^2 + 10T + 25)	8
T^8 + 2T^7 - 7T^6 - 3T^5 + 54T^4 - 15T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 3T^5 + 53T^4 - 15T^3 - 175T^2 + 250*T + 625	8
(T^2 + 4T + 5) (T^6 - 2T^5 - 4T^4 + 23T^3 - 20T^2 - 50*T + 125)	8
(T^4 - 7T^2 + 25) (T^4 + 2T^3 + 10T + 25)	8
T^8 + 2T^7 - 7T^6 - 4T^5 + 49T^4 - 20T^3 - 175T^2 + 250*T + 625	8
(T^2 + 4T + 5) (T^6 - 2T^5 - 4T^4 + 22T^3 - 20T^2 - 50*T + 125)	8
T^8 + 2T^7 - 7T^6 - 4T^5 + 47T^4 - 20T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 5T^5 + 46T^4 - 25T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 5T^5 + 45T^4 - 25T^3 - 175T^2 + 250*T + 625	8
(T^2 + 4T + 5) (T^6 - 2T^5 - 4T^4 + 21T^3 - 20T^2 - 50*T + 125)	8
T^8 + 2T^7 - 7T^6 - 5T^5 + 43T^4 - 25T^3 - 175T^2 + 250*T + 625	8
(T^4 - 8T^2 + 25) (T^4 + 2T^3 + T^2 + 10T + 25)	8
T^8 + 2T^7 - 7T^6 - 6T^5 + 41T^4 - 30T^3 - 175T^2 + 250*T + 625	8
(T^2 + 4T + 5) (T^6 - 2T^5 - 4T^4 + 20T^3 - 20T^2 - 50*T + 125)	8
T^8 + 2T^7 - 7T^6 - 6T^5 + 39T^4 - 30T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 6T^5 + 38T^4 - 30T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 7T^5 + 37T^4 - 35T^3 - 175T^2 + 250*T + 625	8
(T^2 + 4T + 5) (T^6 - 2T^5 - 4T^4 + 19T^3 - 20T^2 - 50*T + 125)	8
T^8 + 2T^7 - 7T^6 - 7T^5 + 35T^4 - 35T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 7T^5 + 34T^4 - 35T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 8T^5 + 33T^4 - 40T^3 - 175T^2 + 250*T + 625	8
(T^2 - 2T + 5) (T^2 + 4T + 5) (T^4 - 9*T^2 + 25)	8
T^8 + 2T^7 - 7T^6 - 8T^5 + 31T^4 - 40T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 8T^5 + 30T^4 - 40T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 8T^5 + 29T^4 - 40T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 9T^5 + 29T^4 - 45T^3 - 175T^2 + 250*T + 625	8
(T^2 + 4T + 5) (T^6 - 2T^5 - 4T^4 + 17T^3 - 20T^2 - 50*T + 125)	8
T^8 + 2T^7 - 7T^6 - 9T^5 + 27T^4 - 45T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 9T^5 + 26T^4 - 45T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 9T^5 + 25T^4 - 45T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 10T^5 + 25T^4 - 50T^3 - 175T^2 + 250*T + 625	8
(T^2 + 4T + 5) (T^6 - 2T^5 - 4T^4 + 16T^3 - 20T^2 - 50*T + 125)	8
T^8 + 2T^7 - 7T^6 - 10T^5 + 23T^4 - 50T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 10T^5 + 22T^4 - 50T^3 - 175T^2 + 250*T + 625	8
T^8 + 2T^7 - 7T^6 - 10T^5 + 21T^4 - 50T^3 - 175T^2 + 250*T + 625	8
(T^2 - 5)^2 * (T^4 + 2T^3 + 3T^2 + 10*T + 25)	8
(T^4 + T^3 - 5T^2 + 5T + 25) * (T^4 + 2T^3 - T^2 + 10T + 25)	9
T^8 + 3T^7 - 4T^6 - 3T^5 + 44T^4 - 15T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 5T^5 + 35T^4 - 25T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 6T^5 + 31T^4 - 30T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 7T^5 + 26T^4 - 35T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 8T^5 + 22T^4 - 40T^3 - 100T^2 + 375*T + 625	9
(T^4 - 8T^2 + 25) (T^4 + 3T^3 + 4T^2 + 15*T + 25)	9
T^8 + 3T^7 - 4T^6 - 9T^5 + 17T^4 - 45T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 10T^5 + 13T^4 - 50T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 11T^5 + 9T^4 - 55T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 11T^5 + 8T^4 - 55T^3 - 100T^2 + 375*T + 625	9
(T^4 - 9T^2 + 25) (T^4 + 3T^3 + 5T^2 + 15*T + 25)	9
T^8 + 3T^7 - 4T^6 - 12T^5 + 4T^4 - 60T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 13T^5 + T^4 - 65T^3 - 100T^2 + 375T + 625	9
T^8 + 3T^7 - 4T^6 - 13T^5 - 65T^3 - 100T^2 + 375T + 625	9
T^8 + 3T^7 - 4T^6 - 13T^5 - T^4 - 65T^3 - 100T^2 + 375T + 625	9
T^8 + 3T^7 - 4T^6 - 14T^5 - 4T^4 - 70T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 14T^5 - 5T^4 - 70T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 15T^5 - 8T^4 - 75T^3 - 100T^2 + 375*T + 625	9
T^8 + 3T^7 - 4T^6 - 15T^5 - 9T^4 - 75T^3 - 100T^2 + 375*T + 625	9
(T^2 - T + 5) * (T^2 + 4T + 5) (T^2 - 5)^2	9
T^8 + 4T^7 - 10T^5 - 5T^4 - 50T^3 + 500*T + 625	10
(T^4 - 8T^2 + 25) (T^4 + 4T^3 + 8T^2 + 20*T + 25)	10
T^8 + 4T^7 - 13T^5 - 18T^4 - 65T^3 + 500*T + 625	10
T^8 + 4T^7 - 14T^5 - 23T^4 - 70T^3 + 500*T + 625	10
T^8 + 4T^7 - 15T^5 - 27T^4 - 75T^3 + 500*T + 625	10
(T^4 - 9T^2 + 25) (T^4 + 4T^3 + 9T^2 + 20*T + 25)	10
T^8 + 4T^7 - 16T^5 - 32T^4 - 80T^3 + 500*T + 625	10
T^8 + 4T^7 - 17T^5 - 36T^4 - 85T^3 + 500*T + 625	10
T^8 + 4T^7 - 18T^5 - 40T^4 - 90T^3 + 500*T + 625	10
T^8 + 4T^7 - 18T^5 - 41T^4 - 90T^3 + 500*T + 625	10
T^8 + 4T^7 - 19T^5 - 44T^4 - 95T^3 + 500*T + 625	10
T^8 + 4T^7 - 19T^5 - 45T^4 - 95T^3 + 500*T + 625	10
T^8 + 4T^7 - 20T^5 - 48T^4 - 100T^3 + 500*T + 625	10
T^8 + 4T^7 - 20T^5 - 49T^4 - 100T^3 + 500*T + 625	10
(T^2 + 5) * (T^2 + 4T + 5) (T^2 - 5)^2	10
T^8 + 5T^7 + 5T^6 - 6T^5 - 15T^4 - 30T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 11T^5 - 37T^4 - 55T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 13T^5 - 46T^4 - 65T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 14T^5 - 50T^4 - 70T^3 + 125T^2 + 625*T + 625	11
(T^4 - 8T^2 + 25) (T^4 + 5T^3 + 13T^2 + 25*T + 25)	11
T^8 + 5T^7 + 5T^6 - 15T^5 - 55T^4 - 75T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 16T^5 - 59T^4 - 80T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 17T^5 - 63T^4 - 85T^3 + 125T^2 + 625*T + 625	11
(T^2 + 4T + 5) (T^6 + T^5 - 4T^4 - 6T^3 - 20T^2 + 25T + 125)	11
T^8 + 5T^7 + 5T^6 - 18T^5 - 67T^4 - 90T^3 + 125T^2 + 625*T + 625	11
(T^2 + 4T + 5) (T^6 + T^5 - 4T^4 - 7T^3 - 20T^2 + 25T + 125)	11
T^8 + 5T^7 + 5T^6 - 19T^5 - 71T^4 - 95T^3 + 125T^2 + 625*T + 625	11
(T^2 + 4T + 5) (T^6 + T^5 - 4T^4 - 8T^3 - 20T^2 + 25T + 125)	11
T^8 + 5T^7 + 5T^6 - 19T^5 - 73T^4 - 95T^3 + 125T^2 + 625*T + 625	11
(T^2 + T + 5) * (T^2 + 4T + 5) (T^4 - 9*T^2 + 25)	11
T^8 + 5T^7 + 5T^6 - 20T^5 - 77T^4 - 100T^3 + 125T^2 + 625*T + 625	11
(T^2 + 4T + 5) (T^6 + T^5 - 4T^4 - 10T^3 - 20T^2 + 25T + 125)	11
T^8 + 5T^7 + 5T^6 - 21T^5 - 81T^4 - 105T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 21T^5 - 82T^4 - 105T^3 + 125T^2 + 625*T + 625	11
(T^2 + 4T + 5) (T^6 + T^5 - 4T^4 - 11T^3 - 20T^2 + 25T + 125)	11
T^8 + 5T^7 + 5T^6 - 22T^5 - 85T^4 - 110T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 22T^5 - 86T^4 - 110T^3 + 125T^2 + 625*T + 625	11
(T^2 + 4T + 5) (T^6 + T^5 - 4T^4 - 12T^3 - 20T^2 + 25T + 125)	11
T^8 + 5T^7 + 5T^6 - 23T^5 - 89T^4 - 115T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 23T^5 - 90T^4 - 115T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 23T^5 - 91T^4 - 115T^3 + 125T^2 + 625*T + 625	11
(T^2 + 4T + 5) (T^6 + T^5 - 4T^4 - 13T^3 - 20T^2 + 25T + 125)	11
T^8 + 5T^7 + 5T^6 - 24T^5 - 93T^4 - 120T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 24T^5 - 94T^4 - 120T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 24T^5 - 95T^4 - 120T^3 + 125T^2 + 625*T + 625	11
(T^2 + 4T + 5) (T^6 + T^5 - 4T^4 - 14T^3 - 20T^2 + 25T + 125)	11
T^8 + 5T^7 + 5T^6 - 25T^5 - 97T^4 - 125T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 25T^5 - 98T^4 - 125T^3 + 125T^2 + 625*T + 625	11
T^8 + 5T^7 + 5T^6 - 25T^5 - 99T^4 - 125T^3 + 125T^2 + 625*T + 625	11
(T^2 - 5)^2 * (T^4 + 5T^3 + 15T^2 + 25*T + 25)	11
T^8 + 6T^7 + 11T^6 + 6T^5 + T^4 + 30T^3 + 275T^2 + 750T + 625	12
T^8 + 6T^7 + 11T^6 - T^5 - 30T^4 - 5T^3 + 275T^2 + 750T + 625	12
T^8 + 6T^7 + 11T^6 - 3T^5 - 39T^4 - 15T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 4T^5 - 43T^4 - 20T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 5T^5 - 47T^4 - 25T^3 + 275T^2 + 750*T + 625	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 7T^3 - 10T^2 + 50*T + 125)	12
(T^2 - 4T + 5) (T^2 + 4T + 5) (T^4 + 6T^3 + 17T^2 + 30*T + 25)	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 9T^3 - 10T^2 + 50*T + 125)	12
T^8 + 6T^7 + 11T^6 - 7T^5 - 57T^4 - 35T^3 + 275T^2 + 750*T + 625	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 10T^3 - 10T^2 + 50*T + 125)	12
T^8 + 6T^7 + 11T^6 - 8T^5 - 61T^4 - 40T^3 + 275T^2 + 750*T + 625	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 11T^3 - 10T^2 + 50*T + 125)	12
T^8 + 6T^7 + 11T^6 - 9T^5 - 65T^4 - 45T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 9T^5 - 66T^4 - 45T^3 + 275T^2 + 750*T + 625	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 12T^3 - 10T^2 + 50*T + 125)	12
T^8 + 6T^7 + 11T^6 - 10T^5 - 69T^4 - 50T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 10T^5 - 70T^4 - 50T^3 + 275T^2 + 750*T + 625	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 13T^3 - 10T^2 + 50*T + 125)	12
T^8 + 6T^7 + 11T^6 - 11T^5 - 73T^4 - 55T^3 + 275T^2 + 750*T + 625	12
(T^2 + 2T + 5) (T^6 + 4T^5 - 2T^4 - 27T^3 - 10T^2 + 100*T + 125)	12
T^8 + 6T^7 + 11T^6 - 11T^5 - 75T^4 - 55T^3 + 275T^2 + 750*T + 625	12
(T^2 + 2T + 5) (T^2 + 4T + 5) (T^4 - 7*T^2 + 25)	12
T^8 + 6T^7 + 11T^6 - 12T^5 - 77T^4 - 60T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 12T^5 - 78T^4 - 60T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 12T^5 - 79T^4 - 60T^3 + 275T^2 + 750*T + 625	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 15T^3 - 10T^2 + 50*T + 125)	12
T^8 + 6T^7 + 11T^6 - 13T^5 - 81T^4 - 65T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 13T^5 - 82T^4 - 65T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 13T^5 - 83T^4 - 65T^3 + 275T^2 + 750*T + 625	12
(T^2 + 4T + 5)^2 (T^4 - 2T^3 + T^2 - 10T + 25)	12
T^8 + 6T^7 + 11T^6 - 14T^5 - 85T^4 - 70T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 14T^5 - 86T^4 - 70T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 14T^5 - 87T^4 - 70T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 14T^5 - 88T^4 - 70T^3 + 275T^2 + 750*T + 625	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 17T^3 - 10T^2 + 50*T + 125)	12
T^8 + 6T^7 + 11T^6 - 15T^5 - 89T^4 - 75T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 15T^5 - 90T^4 - 75T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 15T^5 - 91T^4 - 75T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 15T^5 - 92T^4 - 75T^3 + 275T^2 + 750*T + 625	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 18T^3 - 10T^2 + 50*T + 125)	12
T^8 + 6T^7 + 11T^6 - 16T^5 - 93T^4 - 80T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 16T^5 - 94T^4 - 80T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 16T^5 - 95T^4 - 80T^3 + 275T^2 + 750*T + 625	12
(T^2 + 3T + 5) (T^6 + 3T^5 - 3T^4 - 22T^3 - 15T^2 + 75*T + 125)	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 19T^3 - 10T^2 + 50*T + 125)	12
T^8 + 6T^7 + 11T^6 - 17T^5 - 97T^4 - 85T^3 + 275T^2 + 750*T + 625	12
T^8 + 6T^7 + 11T^6 - 17T^5 - 98T^4 - 85T^3 + 275T^2 + 750*T + 625	12
(T^2 + 3T + 5) (T^6 + 3T^5 - 3T^4 - 23T^3 - 15T^2 + 75*T + 125)	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 20T^3 - 10T^2 + 50*T + 125)	12
T^8 + 6T^7 + 11T^6 - 18T^5 - 101T^4 - 90T^3 + 275T^2 + 750*T + 625	12
(T^2 + 3T + 5)^2 (T^4 - 8*T^2 + 25)	12
(T^2 + 4T + 5) (T^6 + 2T^5 - 2T^4 - 21T^3 - 10T^2 + 50*T + 125)	12
(T^2 + 3T + 5) (T^6 + 3T^5 - 3T^4 - 25T^3 - 15T^2 + 75*T + 125)	12
(T^2 + 3T + 5) (T^2 + 4T + 5) (T^4 - T^3 - 4T^2 - 5T + 25)	12
(T^2 + 3T + 5) (T^6 + 3T^5 - 3T^4 - 27T^3 - 15T^2 + 75*T + 125)	12
(T^4 + T^3 - 5T^2 + 5T + 25) * (T^4 + 6T^3 + 17T^2 + 30*T + 25)	13
T^8 + 7T^7 + 18T^6 + 20T^5 + 16T^4 + 100T^3 + 450T^2 + 875*T + 625	13
T^8 + 7T^7 + 18T^6 + 17T^5 + 3T^4 + 85T^3 + 450T^2 + 875*T + 625	13
(T^2 + 4T + 5) (T^6 + 3T^5 + T^4 - 4T^3 + 5T^2 + 75T + 125)	13
(T^2 + 4T + 5) (T^6 + 3T^5 + T^4 - 5T^3 + 5T^2 + 75T + 125)	13
(T^2 + 4T + 5) (T^6 + 3T^5 + T^4 - 6T^3 + 5T^2 + 75T + 125)	13
T^8 + 7T^7 + 18T^6 + 13T^5 - 15T^4 + 65T^3 + 450T^2 + 875*T + 625	13
(T^2 + 4T + 5) (T^6 + 3T^5 + T^4 - 7T^3 + 5T^2 + 75T + 125)	13
T^8 + 7T^7 + 18T^6 + 12T^5 - 19T^4 + 60T^3 + 450T^2 + 875*T + 625	13
(T^2 + 4T + 5) (T^6 + 3T^5 + T^4 - 8T^3 + 5T^2 + 75T + 125)	13
T^8 + 7T^7 + 18T^6 + 11T^5 - 23T^4 + 55T^3 + 450T^2 + 875*T + 625	13
T^8 + 7T^7 + 18T^6 + 11T^5 - 24T^4 + 55T^3 + 450T^2 + 875*T + 625	13
(T^2 + 4T + 5) (T^6 + 3T^5 + T^4 - 9T^3 + 5T^2 + 75T + 125)	13
T^8 + 7T^7 + 18T^6 + 10T^5 - 27T^4 + 50T^3 + 450T^2 + 875*T + 625	13
T^8 + 7T^7 + 18T^6 + 10T^5 - 28T^4 + 50T^3 + 450T^2 + 875*T + 625	13
(T^2 + 4T + 5)^2 (T^4 - T^3 - 5*T + 25)	13
T^8 + 7T^7 + 18T^6 + 9T^5 - 31T^4 + 45T^3 + 450T^2 + 875*T + 625	13
(T^2 + 3T + 5) (T^6 + 4T^5 + T^4 - 14T^3 + 5T^2 + 100T + 125)	13
(T^2 + 4T + 5) (T^6 + 3T^5 + T^4 - 11T^3 + 5T^2 + 75T + 125)	13
(T^2 + 3T + 5) (T^6 + 4T^5 + T^4 - 15T^3 + 5T^2 + 100T + 125)	13
(T^2 + 3T + 5) (T^2 + 4T + 5) (T^4 - 4*T^2 + 25)	13
T^8 + 8T^7 + 26T^6 + 46T^5 + 75T^4 + 230T^3 + 650T^2 + 1000*T + 625	14
(T^2 + 4T + 5) (T^6 + 4T^5 + 5T^4 + 4T^3 + 25T^2 + 100*T + 125)	14
(T^2 + 4T + 5) (T^6 + 4T^5 + 5T^4 + 3T^3 + 25T^2 + 100*T + 125)	14
(T^2 + 4T + 5) (T^6 + 4T^5 + 5T^4 + 2T^3 + 25T^2 + 100*T + 125)	14
(T^2 + 3T + 5) (T^6 + 5T^5 + 6T^4 - T^3 + 30T^2 + 125T + 125)	14
(T^2 + 3T + 5) (T^2 + 4T + 5) (T^4 + T^3 - 3T^2 + 5T + 25)	14
T^8 + 8T^7 + 26T^6 + 41T^5 + 53T^4 + 205T^3 + 650T^2 + 1000*T + 625	14
(T^2 + 4T + 5)^2 (T^4 + 25)	14
(T^2 + 4T + 5) (T^6 + 4T^5 + 5T^4 - T^3 + 25T^2 + 100T + 125)	14
T^8 + 9T^7 + 35T^6 + 84T^5 + 177T^4 + 420T^3 + 875T^2 + 1125*T + 625	15
(T^2 + 3T + 5) (T^2 + 4T + 5) (T^4 + 2T^3 - T^2 + 10T + 25)	15
(T^2 + 4T + 5) (T^6 + 5T^5 + 10T^4 + 16T^3 + 50T^2 + 125*T + 125)	15
(T^2 + 4T + 5) (T^6 + 5T^5 + 10T^4 + 15T^3 + 50T^2 + 125*T + 125)	15
(T^2 + 4T + 5)^2 (T^4 + T^3 + T^2 + 5*T + 25)	15
T^8 + 10T^7 + 45T^6 + 130T^5 + 305T^4 + 650T^3 + 1125T^2 + 1250*T + 625	16
(T^2 + 4T + 5) (T^6 + 6T^5 + 16T^4 + 33T^3 + 80T^2 + 150*T + 125)	16
(T^2 + 4T + 5)^2 (T^4 + 2T^3 + 3T^2 + 10*T + 25)	16
(T^2 + 4T + 5) (T^6 + 7T^5 + 23T^4 + 55T^3 + 115T^2 + 175*T + 125)	17
(T^2 - T + 5) * (T^2 + 4*T + 5)^3	17
(T^2 + 5) * (T^2 + 4*T + 5)^3	18
(T^2 + 3T + 5) (T^2 + 4T + 5) (T^4 + 6T^3 + 17T^2 + 30*T + 25)	19
(T^2 + 4T + 5)^2 (T^4 + 5T^3 + 15T^2 + 25*T + 25)	19

Back to Genus 4

GF(49)/GF(7)	N
(T^2 - 7)^2 * (T^4 - T^3 - 7T^2 - 7T + 49)	7
(T^4 - T^3 - 8T^2 - 7T + 49) * (T^4 - 13*T^2 + 49)	7
T^8 - T^7 - 21T^6 + 5T^5 + 207T^4 + 35T^3 - 1029T^2 - 343T + 2401	7
T^8 - T^7 - 21T^6 + 4T^5 + 212T^4 + 28T^3 - 1029T^2 - 343T + 2401	7
(T^2 - 5T + 7) (T^6 + 5T^5 - 3T^4 - 49T^3 - 21T^2 + 245*T + 343)	8
T^8 - 21T^6 + T^5 + 202T^4 + 7T^3 - 1029T^2 + 2401	8
(T^2 - 5T + 7) (T^2 + 5T + 7) (T^4 - 10*T^2 + 49)	8
T^8 - 21T^6 + 207T^4 - 1029*T^2 + 2401	8
(T^4 - 12T^2 + 49) (T^4 - 9*T^2 + 49)	8
T^8 - 21T^6 + 205T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 204T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 203T^4 - 1029*T^2 + 2401	8
(T^4 - 13T^2 + 49) (T^4 - 8*T^2 + 49)	8
T^8 - 21T^6 + 201T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 200T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 199T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 198T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 197T^4 - 1029*T^2 + 2401	8
(T^2 - 7)^2 * (T^4 - 7*T^2 + 49)	8
(T^2 + 5T + 7) (T^6 - 5T^5 - 3T^4 + 49T^3 - 21T^2 - 245*T + 343)	8
T^8 - 21T^6 - T^5 + 202T^4 - 7T^3 - 1029T^2 + 2401	8
T^8 + T^7 - 20T^6 - 4T^5 + 199T^4 - 28T^3 - 980T^2 + 343T + 2401	9
T^8 + T^7 - 20T^6 - 4T^5 + 198T^4 - 28T^3 - 980T^2 + 343T + 2401	9
(T^4 - 12T^2 + 49) (T^4 + T^3 - 8T^2 + 7T + 49)	9
T^8 + T^7 - 20T^6 - 5T^5 + 193T^4 - 35T^3 - 980T^2 + 343T + 2401	9
(T^4 - 13T^2 + 49) (T^4 + T^3 - 7T^2 + 7T + 49)	9
T^8 + T^7 - 20T^6 - 6T^5 + 188T^4 - 42T^3 - 980T^2 + 343T + 2401	9
T^8 + T^7 - 20T^6 - 7T^5 + 184T^4 - 49T^3 - 980T^2 + 343T + 2401	9
T^8 + T^7 - 20T^6 - 7T^5 + 183T^4 - 49T^3 - 980T^2 + 343T + 2401	9
(T^2 - 4T + 7) (T^2 + 5T + 7) (T^2 - 7)^2	9
T^8 + 8T^7 + 15T^6 - 53T^5 - 292T^4 - 371T^3 + 735T^2 + 2744*T + 2401	16
(T^2 + 3T + 7) (T^2 + 5T + 7) (T^2 - 7)^2	16
(T^2 + 5T + 7) (T^6 + 4T^5 - 3T^4 - 35T^3 - 21T^2 + 196*T + 343)	17
(T^2 + 5T + 7) (T^6 + 4T^5 - 3T^4 - 36T^3 - 21T^2 + 196*T + 343)	17
(T^2 + 5T + 7) (T^6 + 4T^5 - 3T^4 - 37T^3 - 21T^2 + 196*T + 343)	17
(T^2 + 5T + 7) (T^6 + 4T^5 - 3T^4 - 38T^3 - 21T^2 + 196*T + 343)	17
(T^2 + 5T + 7)^2 (T^4 - T^3 - 5T^2 - 7T + 49)	17
(T^2 + 4T + 7) (T^6 + 5T^5 - 3T^4 - 49T^3 - 21T^2 + 245*T + 343)	17
(T^2 + 4T + 7) (T^2 + 5T + 7) (T^4 - 10*T^2 + 49)	17
T^8 + 9T^7 + 24T^6 - 27T^5 - 243T^4 - 189T^3 + 1176T^2 + 3087*T + 2401	17
(T^2 + 5T + 7) (T^6 + 4T^5 - 3T^4 - 41T^3 - 21T^2 + 196*T + 343)	17
(T^2 + 5T + 7) (T^6 + 5T^5 + 2T^4 - 23T^3 + 14T^2 + 245*T + 343)	18
(T^2 + 5T + 7) (T^6 + 5T^5 + 2T^4 - 24T^3 + 14T^2 + 245*T + 343)	18
(T^2 + 5T + 7)^2 (T^4 - 5*T^2 + 49)	18
(T^2 + 5T + 7) (T^6 + 6T^5 + 8T^4 - 5T^3 + 56T^2 + 294*T + 343)	19
(T^2 + 5T + 7)^2 (T^4 + T^3 - 4T^2 + 7T + 49)	19
(T^2 + 5T + 7)^2 (T^4 + 2T^3 - 2T^2 + 14*T + 49)	20

Back to Genus 4

GF(64)/GF(8)	N
(T^4 - 14*T^2 + 64)^2	9
(T^4 - 15T^2 + 64) (T^4 - 13*T^2 + 64)	9
(T^2 - 8)^2 * (T^4 - 12*T^2 + 64)	9
T^8 - 28T^6 + 321T^4 - 1792*T^2 + 4096	9
T^8 - 28T^6 + 322T^4 - 1792*T^2 + 4096	9
(T^2 + 5T + 8)^2 (T^4 - 14*T^2 + 64)	19
(T^2 + 5T + 8) (T^6 + 5T^5 - 6T^4 - 69T^3 - 48T^2 + 320*T + 512)	19
(T^2 + 5T + 8) (T^6 + 6T^5 - 51T^3 + 384*T + 512)	20
(T^2 + 5*T + 8)^4	29

Back to Genus 4

GF(81)/GF(9)	N
(T - 3)^4 * (T + 3)^4	10
(T - 3)^2 * (T + 3)^4 * (T^2 + 5*T + 9)	21
(T + 3)^4 * (T^4 - 12*T^2 + 81)	22
(T + 3)^4 * (T^4 + T^3 - 11T^2 + 9T + 81)	23
(T + 3)^4 * (T^2 + 5*T + 9)^2	32

GF(4)/GF(2)	N
y^2 + (x^2 + x)*y = x^9 + x^5 + 1	3
y^2 + (x^3 + x)*y = x^9 + x^7 + x	3
y^2 + (x^2 + x)*y = x^9 + x^5 + x^4 + x	3
y^2 + (x^2)*y = x^9 + x	4
y^2 + x*y = x^9 + x^3 + x^2 + 1	4
y^2 + (x^4 + x^2 + x)*y = x^9 + x^8 + x^3 + x	4
y^2 + (x^4 + x^2 + x)*y = x^9 + x^3 + x^2 + x	4
y^2 + x*y = x^9 + x^7 + x^5 + 1	4
y^2 + (x^2)*y = x^9 + x^7 + x^5 + x^4 + x + 1	4
y^2 + x*y = x^9 + x^5 + x^3 + 1	4
y^2 + (x^2)*y = x^9 + x^7 + x^4 + x	4
y^2 + (x^2)*y = x^9 + x^5 + x + 1	4
y^2 + x*y = x^9 + x^7 + x^2 + 1	4
y^2 + y = x^9 + x^5	5
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^3 + x^2 + x	5
y^2 + (x^4 + x + 1)*y = x^9 + x	5
y^2 + (x^3 + x + 1)*y = x^9 + x^6 + x^2 + x	5
y^2 + y = x^9 + x^7	5
y^2 + (x^3 + x + 1)*y = x^9 + x^2	5
y^2 + (x^3 + x + 1)*y = x^9 + x^7 + x^6 + x^2	5
y^2 + (x^4 + x + 1)*y = x^9 + x^2	5
y^2 + y = x^9 + x	5
y^2 + (x^4 + x^3 + 1)*y = x^9 + x^2	5
y^2 + (x^5 + x^2 + 1)*y = x^3 + x^2	6
y^2 + (x^5 + x^2 + 1)*y = x^4 + x^3 + x^2 + x	6
y^2 + (x^5 + x^2 + 1)*y = x^3 + x	6
y^2 + (x^5 + x^2 + 1)*y = x^4 + x^3	6
X^2 + XY + Y^2 + ZT XYT + X*Z^2 + Y^3 + Z^3 + T^3	0
XY + ZT X^3 + X^2Y + X^2T + XY^2 + XYT + XZ^2 + Y^3 + Y^2Z + Y^2T + Z^3 + T^3	0
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2Z + X^2T + XYZ + XT^2 + Y^3 + Y^2*Z + Z^3	1
X^2 + XY + Y^2 + ZT X^3 + X^2Z + XYT + XT^2 + Y*Z^2	2
XY + T^2 X^3 + X^2Z + X^2T + XYT + XZT + Y^2T + Z^3	2
XY + T^2 X^2T + XZT + Y^3 + Y^2*Z + Z^3	2
X^2 + XY + Y^2 + ZT X^2Y + X^2Z + X^2T + XY^2 + XYT + XT^2 + YZ^2	2
XY + T^2 X^2Z + XZT + Y^3 + Y^2*Z + Z^3	2
X^2 + XY + Y^2 + ZT X^3 + X^2Z + XY^2 + XYZ + XYT + XT^2 + YZ^2	2
XY + T^2 X^3 + X^2Y + X^2Z + XZT + Y^2Z + Y^2*T + Z^3	2
XY + T^2 X^3 + X^2Y + X^2Z + X^2T + XYZ + XYT + Y^2Z + Y^2T + Z^3	2
X^2 + XY + Y^2 + ZT X^2Y + X^2Z + XY^2 + XYT + XZ^2 + XT^2 + Y^2Z	2
XY + T^2 X^2Z + XYZ + XZT + Y^2*T + Z^3	3
X^2 + XY + Y^2 + ZT X^2Y + X^2T + XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	3
XY + ZT X^2T + XT^2 + Y^3 + Y^2*Z + Z^3	3
X^2 + XY + Y^2 + ZT X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^2*Z	3
X^2 + XY + Y^2 + ZT X^2T + XY^2 + XYZ + XT^2 + YZ^2	3
X^2 + XY + Y^2 + ZT X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^3 + Y^2*Z	3
XY + T^2 X^2Y + X^2T + XYT + Y^2T + Z^3	3
XY + T^2 X^3 + X^2Y + X^2Z + X^2T + XYZ + XZT + Y^2*T + Z^3	3
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^3	3
X^2 + XY + Y^2 + ZT X^2Z + XYZ + XYT + XZ^2 + X*T^2 + Y^3	3
XY + T^2 X^3 + X^2Z + X^2T + XYZ + XYT + XZT + Y^2Z + Y^2*T + Z^3	3
X^2 + XY + Y^2 + ZT X^2Z + X^2T + XY^2 + XYZ + XT^2 + Y*Z^2	3
XY + ZT X^2Z + XY^2 + XZ^2 + XT^2 + Y^3	4
XY + T^2 X^2T + XZT + Y^2*T + Z^3	4
XY + ZT X^2Y + X^2Z + XT^2 + Y^2T + Y*Z^2	4
XY + T^2 X^2Z + X^2T + XYZ + Y^3 + Y^2Z + Z^3	4
XY + T^2 X^2Y + X^2T + XYT + XZT + Y^2Z + Y^2*T + Z^3	4
XY + T^2 X^2Z + XY^2 + XYT + XZT + Y^3 + Y^2Z + Y^2*T + Z^3	4
X^2 + XY + Y^2 + ZT X^3 + X^2Z + XYT + XZ^2 + XT^2 + Y^2Z	4
X^2 + XY + Y^2 + ZT XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	4
XY + ZT X^2Z + XZ^2 + X*T^2 + Y^3	5
XY + ZT X^2T + XY^2 + XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + ZT X^2Y + X^2T + XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + ZT X^2Y + X^2T + XY^2 + XZ^2 + XT^2 + Y^3 + Y^2Z	5
XY + ZT X^2T + XY^2 + XYZ + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + ZT X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + T^2 X^2Z + XYZ + XYT + XZT + Y^2*T + Z^3	5
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2Z + XYT + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + T^2 X^2T + XYZ + XZT + Y^2Z + Y^2T + Z^3 5	5
X^2 + XY + Y^2 + ZT X^3 + X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^3 + Y^2*Z	5
XY + ZT X^2Z + X^2T + XY^2 + XYZ + XYT + XZ^2 + X*T^2 + Y^3	6
XY + ZT X^2Z + XYZ + XZ^2 + XT^2 + Y^3 + Y^2Z	6
XY + ZT X^2Z + XY^2 + XZ^2 + XT^2 + Y^3 + Y^2*Z	6
XY + ZT X^3 + X^2Y + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2*T	6
XY + ZT X^2Y + X^2Z + X^2T + XY^2 + XYZ + XT^2 + Y^2Z + Y^2T + YZ^2	6
XY + T^2 X^2Y + X^2Z + X^2T + XYZ + XYT + Y^2Z + Y^2T + Z^3	6
XY + ZT X^2Y + X^2Z + X^2T + XY^2 + XZ^2 + XT^2 + Y^2Z + Y^2T	7
XY + ZT X^2Z + X^2T + XY^2 + XYZ + XZ^2 + XT^2 + Y^2Z + Y^2*T	7
XY + ZT X^2Z + X^2T + XZ^2 + XT^2 + Y^3 + Y^2*Z	7
XY + ZT X^2Y + X^2T + XYZ + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2T	7
XY + ZT X^2Y + X^2Z + X^2T + XYZ + XZ^2 + XT^2 + Y^2Z + Y^2*T	7
XY + ZT X^2Z + X^2T + XY^2 + XZ^2 + XT^2 + Y^3 + Y^2Z + Y^2*T	8

GF(27)/GF(3)	N
T^8 - 4T^7 + 7T^6 - 16T^5 + 37T^4 - 48T^3 + 63T^2 - 108*T + 81	0
(T^2 - 3T + 3) (T^2 + T + 3) * (T^4 - 2T^3 + T^2 - 6T + 9)	0
(T^4 - 2T^3 + 2T^2 - 6*T + 9)^2	0
(T^4 - 2T^3 + T^2 - 6T + 9) * (T^4 - T^3 + T^2 - 3*T + 9)	1
(T^4 - 2T^3 + 2T^2 - 6T + 9) (T^4 - T^3 - T^2 - 3*T + 9)	1
(T^2 - 3T + 3) (T^6 - 9*T^3 + 27)	1
T^8 - 3T^7 + 2T^6 - 6T^5 + 22T^4 - 18T^3 + 18T^2 - 81*T + 81	1
(T^4 - T^3 - T^2 - 3*T + 9)^2	2
(T^2 - 3T + 3) (T^2 + 2T + 3) (T^4 - T^3 - 2T^2 - 3T + 9)	2
T^8 - 2T^7 - T^6 - 4T^5 + 23T^4 - 12T^3 - 9T^2 - 54T + 81	2
T^8 - 2T^7 - 2T^6 - 2T^5 + 22T^4 - 6T^3 - 18T^2 - 54*T + 81	2
T^8 - 2T^7 - 3T^6 + 21T^4 - 27T^2 - 54*T + 81	2
(T^2 + T + 3)^2 * (T^4 - 3T^3 + 5T^2 - 9*T + 9)	3
(T^2 + T + 3) * (T^6 - 2T^5 + 4T^4 - 11T^3 + 12T^2 - 18*T + 27)	3
(T^2 + 3) * (T^6 - T^5 + 2T^4 - 10T^3 + 6T^2 - 9T + 27)	3
(T^4 - 2T^3 + T^2 - 6T + 9) * (T^4 + T^3 + 5T^2 + 3T + 9)	3
T^8 - T^7 + 4T^6 - 12T^5 + 10T^4 - 36T^3 + 36T^2 - 27T + 81	3
(T^2 - 3T + 3) (T^2 + T + 3)^3	4
(T^2 + T + 3) * (T^6 - T^5 + 3T^4 - 8T^3 + 9T^2 - 9T + 27)	4
T^8 + 4T^6 - 8T^5 + 7T^4 - 24T^3 + 36*T^2 + 81	4
(T^2 + 3) * (T^2 + 2T + 3) (T^4 - 2T^3 + 2T^2 - 6*T + 9)	4
(T^2 + T + 3) * (T^6 - T^5 + 2T^4 - 7T^3 + 6T^2 - 9T + 27)	4
T^8 + 4T^6 - 8T^5 + 4T^4 - 24T^3 + 36*T^2 + 81	4
(T^2 + 2T + 3) (T^6 - 2T^5 + 4T^4 - 10T^3 + 12T^2 - 18*T + 27)	4
T^8 + 3T^6 - 8T^5 + 3T^4 - 24T^3 + 27*T^2 + 81	4
T^8 + 3T^6 - 8T^5 + 2T^4 - 24T^3 + 27*T^2 + 81	4
T^8 + 3T^6 - 8T^5 + T^4 - 24T^3 + 27T^2 + 81	4
(T^2 + 3) * (T^2 + T + 3) * (T^4 - T^3 - 2T^2 - 3T + 9)	4
T^8 + 3T^6 - 8T^5 - T^4 - 24T^3 + 27T^2 + 81	4
(T^2 + 2T + 3)^2 (T^4 - 4T^3 + 8T^2 - 12*T + 9)	4
T^8 + 2T^6 - 8T^5 + T^4 - 24T^3 + 18T^2 + 81	4
T^8 + 2T^6 - 8T^5 - 24T^3 + 18T^2 + 81	4
(T^4 - 2T^3 + T^2 - 6T + 9) * (T^4 + 2T^3 + 5T^2 + 6*T + 9)	4
T^8 + 2T^6 - 8T^5 - 2T^4 - 24T^3 + 18*T^2 + 81	4
(T^2 + T + 3)^2 * (T^4 - T^3 + T^2 - 3*T + 9)	5
(T^2 + 2T + 3) (T^6 - T^5 + 4T^4 - 8T^3 + 12T^2 - 9T + 27)	5
(T^2 + T + 3) * (T^6 + 2T^4 - 5T^3 + 6*T^2 + 27)	5
(T^2 + 2T + 3) (T^6 - T^5 + 3T^4 - 7T^3 + 9T^2 - 9T + 27)	5
T^8 + T^7 + 4T^6 - 4T^5 + 3T^4 - 12T^3 + 36T^2 + 27T + 81	5
T^8 + T^7 + 4T^6 - 4T^5 + 2T^4 - 12T^3 + 36T^2 + 27T + 81	5
(T^2 + T + 3) * (T^6 + T^4 - 5T^3 + 3T^2 + 27)	5
(T^2 + 3) * (T^2 + 2T + 3) (T^4 - T^3 - T^2 - 3*T + 9)	5
T^8 + T^7 + 3T^6 - 5T^5 - T^4 - 15T^3 + 27T^2 + 27*T + 81	5
T^8 + T^7 + 3T^6 - 5T^5 - 2T^4 - 15T^3 + 27T^2 + 27T + 81	5
T^8 + T^7 + 3T^6 - 5T^5 - 3T^4 - 15T^3 + 27T^2 + 27T + 81	5
(T^4 - 2T^3 + 2T^2 - 6T + 9) (T^4 + 3T^3 + 7T^2 + 9*T + 9)	5
(T^2 + T + 3) * (T^6 - 5*T^3 + 27)	5
(T^2 + 2T + 3) (T^6 - T^5 + T^4 - 5T^3 + 3T^2 - 9*T + 27)	5
T^8 + T^7 + 2T^6 - 6T^5 - 5T^4 - 18T^3 + 18T^2 + 27T + 81	5
(T^2 + 3) * (T^6 + T^5 - T^4 - 9T^3 - 3T^2 + 9*T + 27)	5
T^8 + T^7 + 2T^6 - 6T^5 - 7T^4 - 18T^3 + 18T^2 + 27T + 81	5
T^8 + T^7 + 2T^6 - 6T^5 - 8T^4 - 18T^3 + 18T^2 + 27T + 81	5
T^8 + T^7 + 2T^6 - 6T^5 - 9T^4 - 18T^3 + 18T^2 + 27T + 81	5
T^8 + T^7 + 2T^6 - 6T^5 - 10T^4 - 18T^3 + 18T^2 + 27T + 81	5
(T^2 + T + 3) * (T^6 - T^4 - 5T^3 - 3T^2 + 27)	5
T^8 + T^7 + T^6 - 7T^5 - 7T^4 - 21T^3 + 9T^2 + 27*T + 81	5
(T^2 + 2T + 3) (T^6 - T^5 - 4T^3 - 9T + 27)	5
T^8 + T^7 + T^6 - 7T^5 - 9T^4 - 21T^3 + 9T^2 + 27*T + 81	5
T^8 + T^7 + T^6 - 7T^5 - 10T^4 - 21T^3 + 9T^2 + 27*T + 81	5
(T^2 + T + 3) * (T^2 + 2T + 3) (T^4 - T^3 + 2T^2 - 3T + 9)	6
(T^2 + 2T + 3)^2 (T^4 - 2T^3 + 4T^2 - 6*T + 9)	6
(T^2 + T + 3) * (T^6 + T^5 + 2T^4 - 3T^3 + 6T^2 + 9T + 27)	6
(T^2 + 2T + 3) (T^6 + 2T^4 - 4T^3 + 6*T^2 + 27)	6
T^8 + 2T^7 + 5T^6 + 3T^4 + 45T^2 + 54*T + 81	6
(T^2 + T + 3) * (T^6 + T^5 + T^4 - 4T^3 + 3T^2 + 9*T + 27)	6
(T^2 + 2T + 3) (T^6 + T^4 - 4T^3 + 3T^2 + 27)	6
T^8 + 2T^7 + 4T^6 - 2T^5 - 3T^4 - 6T^3 + 36T^2 + 54*T + 81	6
T^8 + 2T^7 + 4T^6 - 2T^5 - 4T^4 - 6T^3 + 36T^2 + 54*T + 81	6
(T^2 + T + 3) * (T^6 + T^5 - 5T^3 + 9T + 27)	6
(T^4 - T^3 - T^2 - 3T + 9) (T^4 + 3T^3 + 7T^2 + 9*T + 9)	6
(T^2 + 2T + 3) (T^6 - 4*T^3 + 27)	6
T^8 + 2T^7 + 3T^6 - 4T^5 - 9T^4 - 12T^3 + 27T^2 + 54*T + 81	6
T^8 + 2T^7 + 3T^6 - 4T^5 - 10T^4 - 12T^3 + 27T^2 + 54*T + 81	6
T^8 + 2T^7 + 3T^6 - 4T^5 - 11T^4 - 12T^3 + 27T^2 + 54*T + 81	6
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 - 2T^3 + 2T^2 - 6*T + 9)	6
T^8 + 2T^7 + 2T^6 - 6T^5 - 12T^4 - 18T^3 + 18T^2 + 54*T + 81	6
T^8 + 2T^7 + 2T^6 - 6T^5 - 13T^4 - 18T^3 + 18T^2 + 54*T + 81	6
(T^2 + 2T + 3) (T^6 - T^4 - 4T^3 - 3T^2 + 27)	6
(T^2 + 3T + 3) (T^6 - T^5 + 2T^4 - 9T^3 + 6T^2 - 9T + 27)	6
T^8 + 2T^7 + 2T^6 - 6T^5 - 16T^4 - 18T^3 + 18T^2 + 54*T + 81	6
T^8 + 2T^7 + 2T^6 - 6T^5 - 17T^4 - 18T^3 + 18T^2 + 54*T + 81	6
T^8 + 2T^7 + 2T^6 - 6T^5 - 18T^4 - 18T^3 + 18T^2 + 54*T + 81	6
(T^2 + T + 3) * (T^6 + T^5 - 2T^4 - 7T^3 - 6T^2 + 9T + 27)	6
T^8 + 2T^7 + T^6 - 8T^5 - 16T^4 - 24T^3 + 9T^2 + 54T + 81	6
T^8 + 2T^7 + T^6 - 8T^5 - 17T^4 - 24T^3 + 9T^2 + 54T + 81	6
(T^2 + 2T + 3)^2 (T^4 - T^3 + 3T^2 - 3T + 9)	7
(T^2 + 2T + 3) (T^6 + T^5 + 3T^4 - T^3 + 9T^2 + 9*T + 27)	7
(T^2 + 2T + 3) (T^6 + T^5 + 2T^4 - 2T^3 + 6T^2 + 9T + 27)	7
(T^2 + 2T + 3) (T^6 + T^5 + T^4 - 3T^3 + 3T^2 + 9*T + 27)	7
(T^2 + T + 3) * (T^6 + 2T^5 - 7T^3 + 18*T + 27)	7
(T^2 + 2T + 3) (T^6 + T^5 - 4T^3 + 9T + 27)	7
(T^2 + 3T + 3) (T^6 + 2T^4 - 7T^3 + 6*T^2 + 27)	7
T^8 + 3T^7 + 4T^6 - 4T^5 - 14T^4 - 12T^3 + 36T^2 + 81*T + 81	7
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 - T^3 - T^2 - 3*T + 9)	7
(T^2 + 2T + 3) (T^6 + T^5 - T^4 - 5T^3 - 3T^2 + 9*T + 27)	7
T^8 + 3T^7 + 4T^6 - 4T^5 - 17T^4 - 12T^3 + 36T^2 + 81*T + 81	7
(T^2 + 3T + 3) (T^6 - 7*T^3 + 27)	7
T^8 + 3T^7 + 3T^6 - 7T^5 - 22T^4 - 21T^3 + 27T^2 + 81*T + 81	7
(T^2 + T + 3) * (T^6 + 2T^5 - 2T^4 - 11T^3 - 6T^2 + 18*T + 27)	7
(T^2 + 2T + 3) (T^6 + T^5 - 2T^4 - 6T^3 - 6T^2 + 9T + 27)	7
T^8 + 3T^7 + 3T^6 - 7T^5 - 25T^4 - 21T^3 + 27T^2 + 81*T + 81	7
(T^2 + T + 3)^2 * (T^4 + T^3 + 5T^2 + 3T + 9)	7
(T^2 + 3)^2 * (T^2 + 2*T + 3)^2	8
(T^2 + T + 3)^2 * (T^4 + 2T^3 + 5T^2 + 6*T + 9)	8
(T^2 - T + 3) * (T^2 + T + 3) * (T^2 + 2*T + 3)^2	8
(T^2 + 2T + 3)^2 (T^4 + 4*T^2 + 9)	8
(T^2 + 2T + 3)^2 (T^4 + 3*T^2 + 9)	8
(T^2 - 2T + 3) (T^2 + 2*T + 3)^3	8
(T^2 + 2T + 3)^2 (T^4 + T^2 + 9)	8
(T^2 + 2T + 3)^2 (T^4 + 9)	8
(T^2 + 2T + 3)^2 (T^4 - T^2 + 9)	8
(T^2 + 2T + 3)^2 (T^4 - 2*T^2 + 9)	8
(T^2 - 3T + 3) (T^2 + 3T + 3) (T^2 + 2*T + 3)^2	8
(T^2 + 3T + 3) (T^6 + T^5 - 7T^3 + 9T + 27)	8
(T^2 + 2T + 3)^2 (T^4 - 4*T^2 + 9)	8
(T^2 + 3T + 3) (T^6 + T^5 - T^4 - 8T^3 - 3T^2 + 9*T + 27)	8
T^8 + 4T^7 + 5T^6 - 8T^5 - 31T^4 - 24T^3 + 45T^2 + 108*T + 81	8
(T^2 + 2T + 3)^2 (T^4 - 5*T^2 + 9)	8
(T^2 + 3T + 3)^2 (T^4 - 2T^3 + T^2 - 6T + 9)	8
T^8 + 4T^7 + 4T^6 - 12T^5 - 40T^4 - 36T^3 + 36T^2 + 108*T + 81	8
T^8 + 4T^7 + 4T^6 - 12T^5 - 41T^4 - 36T^3 + 36T^2 + 108*T + 81	8
(T^2 - 3)^2 * (T^2 + 2*T + 3)^2	8
(T^2 + 3) * (T^2 + 2T + 3) (T^4 + 3T^3 + 7T^2 + 9*T + 9)	9
(T^2 + T + 3) * (T^6 + 4T^5 + 12T^4 + 23T^3 + 36T^2 + 36*T + 27)	9
(T^2 + 2T + 3) (T^6 + 3T^5 + 9T^4 + 15T^3 + 27T^2 + 27*T + 27)	9
(T^2 + 2T + 3)^2 (T^4 + T^3 + 3T^2 + 3T + 9)	9
(T^4 + 3T^3 + 7T^2 + 9*T + 9)^2	10
(T^2 + 3) * (T^2 + T + 3) * (T^2 + 2T + 3) (T^2 + 3*T + 3)	10
(T^2 + 2T + 3)^2 (T^4 + 2T^3 + 4T^2 + 6*T + 9)	10
(T^2 + T + 3) * (T^2 + 3T + 3) (T^4 + 3T^3 + 7T^2 + 9*T + 9)	11
(T^2 + 2T + 3) (T^6 + 5T^5 + 15T^4 + 31T^3 + 45T^2 + 45*T + 27)	11
(T^2 + T + 3)^2 * (T^2 + 3*T + 3)^2	12
(T^2 + 2T + 3)^2 (T^4 + 4T^3 + 8T^2 + 12*T + 9)	12

GF(49)/GF(7)	N
(T^2 - 7)^2 * (T^4 - T^3 - 7T^2 - 7T + 49)	7
(T^4 - T^3 - 8T^2 - 7T + 49) * (T^4 - 13*T^2 + 49)	7
T^8 - T^7 - 21T^6 + 5T^5 + 207T^4 + 35T^3 - 1029T^2 - 343T + 2401	7
T^8 - T^7 - 21T^6 + 4T^5 + 212T^4 + 28T^3 - 1029T^2 - 343T + 2401	7
(T^2 - 5T + 7) (T^6 + 5T^5 - 3T^4 - 49T^3 - 21T^2 + 245*T + 343)	8
T^8 - 21T^6 + T^5 + 202T^4 + 7T^3 - 1029T^2 + 2401	8
(T^2 - 5T + 7) (T^2 + 5T + 7) (T^4 - 10*T^2 + 49)	8
T^8 - 21T^6 + 207T^4 - 1029*T^2 + 2401	8
(T^4 - 12T^2 + 49) (T^4 - 9*T^2 + 49)	8
T^8 - 21T^6 + 205T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 204T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 203T^4 - 1029*T^2 + 2401	8
(T^4 - 13T^2 + 49) (T^4 - 8*T^2 + 49)	8
T^8 - 21T^6 + 201T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 200T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 199T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 198T^4 - 1029*T^2 + 2401	8
T^8 - 21T^6 + 197T^4 - 1029*T^2 + 2401	8
(T^2 - 7)^2 * (T^4 - 7*T^2 + 49)	8
(T^2 + 5T + 7) (T^6 - 5T^5 - 3T^4 + 49T^3 - 21T^2 - 245*T + 343)	8
T^8 - 21T^6 - T^5 + 202T^4 - 7T^3 - 1029T^2 + 2401	8
T^8 + T^7 - 20T^6 - 4T^5 + 199T^4 - 28T^3 - 980T^2 + 343T + 2401	9
T^8 + T^7 - 20T^6 - 4T^5 + 198T^4 - 28T^3 - 980T^2 + 343T + 2401	9
(T^4 - 12T^2 + 49) (T^4 + T^3 - 8T^2 + 7T + 49)	9
T^8 + T^7 - 20T^6 - 5T^5 + 193T^4 - 35T^3 - 980T^2 + 343T + 2401	9
(T^4 - 13T^2 + 49) (T^4 + T^3 - 7T^2 + 7T + 49)	9
T^8 + T^7 - 20T^6 - 6T^5 + 188T^4 - 42T^3 - 980T^2 + 343T + 2401	9
T^8 + T^7 - 20T^6 - 7T^5 + 184T^4 - 49T^3 - 980T^2 + 343T + 2401	9
T^8 + T^7 - 20T^6 - 7T^5 + 183T^4 - 49T^3 - 980T^2 + 343T + 2401	9
(T^2 - 4T + 7) (T^2 + 5T + 7) (T^2 - 7)^2	9
T^8 + 8T^7 + 15T^6 - 53T^5 - 292T^4 - 371T^3 + 735T^2 + 2744*T + 2401	16
(T^2 + 3T + 7) (T^2 + 5T + 7) (T^2 - 7)^2	16
(T^2 + 5T + 7) (T^6 + 4T^5 - 3T^4 - 35T^3 - 21T^2 + 196*T + 343)	17
(T^2 + 5T + 7) (T^6 + 4T^5 - 3T^4 - 36T^3 - 21T^2 + 196*T + 343)	17
(T^2 + 5T + 7) (T^6 + 4T^5 - 3T^4 - 37T^3 - 21T^2 + 196*T + 343)	17
(T^2 + 5T + 7) (T^6 + 4T^5 - 3T^4 - 38T^3 - 21T^2 + 196*T + 343)	17
(T^2 + 5T + 7)^2 (T^4 - T^3 - 5T^2 - 7T + 49)	17
(T^2 + 4T + 7) (T^6 + 5T^5 - 3T^4 - 49T^3 - 21T^2 + 245*T + 343)	17
(T^2 + 4T + 7) (T^2 + 5T + 7) (T^4 - 10*T^2 + 49)	17
T^8 + 9T^7 + 24T^6 - 27T^5 - 243T^4 - 189T^3 + 1176T^2 + 3087*T + 2401	17
(T^2 + 5T + 7) (T^6 + 4T^5 - 3T^4 - 41T^3 - 21T^2 + 196*T + 343)	17
(T^2 + 5T + 7) (T^6 + 5T^5 + 2T^4 - 23T^3 + 14T^2 + 245*T + 343)	18
(T^2 + 5T + 7) (T^6 + 5T^5 + 2T^4 - 24T^3 + 14T^2 + 245*T + 343)	18
(T^2 + 5T + 7)^2 (T^4 - 5*T^2 + 49)	18
(T^2 + 5T + 7) (T^6 + 6T^5 + 8T^4 - 5T^3 + 56T^2 + 294*T + 343)	19
(T^2 + 5T + 7)^2 (T^4 + T^3 - 4T^2 + 7T + 49)	19
(T^2 + 5T + 7)^2 (T^4 + 2T^3 - 2T^2 + 14*T + 49)	20