A1  j,t-Field minpoly = x
A1    r-Field minpoly = x^2+1                     r-Field = Q(sqrt(-1))

A2  j,t-Field minpoly = x
A2    r-Field minpoly = x^2+1                     r-Field = Q(sqrt(-1))

A3  j,t-Field minpoly = x
A3    r-Field minpoly = x^2-x+2                   r-Field = Q(sqrt(-7))

A4  j,t-Field minpoly = x
A4    r-Field minpoly = x^2+1                     r-Field = Q(sqrt(-1))

A5  jtr-Field minpoly = x

A6  jtr-Field minpoly = x

A7  j,t-Field minpoly = x
A7    r-Field minpoly = x^2-x+1                   r-Field = Q(sqrt(-3))

A8  j,t-Field minpoly = x
A8    r-Field minpoly = x^2+2                     r-Field = Q(sqrt(-2))

A9  j,t-Field minpoly = x
A9    r-Field minpoly = x^2+2                     r-Field = Q(sqrt(-2))

A10 j,t-Field minpoly = x
A10   r-Field minpoly = x^2-x+1                   r-Field = Q(sqrt(-3))

A11 jtr-Field minpoly = x

A12 j,t-Field minpoly = x
A12   r-Field minpoly = x^2-x+1                   r-Field = Q(sqrt(-3))

A13 j,t-Field minpoly = x
A13   r-Field minpoly = x^2+2                     r-Field = Q(sqrt(-2))

A14 jtr-Field minpoly = x

A15 jtr-Field minpoly = x

A16 j,t-Field minpoly = x
A16   r-Field minpoly = x^2+1                     r-Field = Q(sqrt(-1))

A17 j,t-Field minpoly = x
A17   r-Field minpoly = x^2-3                     r-Field = Q(sqrt(3))

A18 jtr-Field minpoly = x

A19 jtr-Field minpoly = x

A20 jtr-Field minpoly = x

A21 jtr-Field minpoly = x

A22 j,t-Field minpoly = x
A22   r-Field minpoly = x^2-x+2                   r-Field = Q(sqrt(-7))

A23 j,t-Field minpoly = x
A23   r-Field minpoly = x^2-x+2                   r-Field = Q(sqrt(-7))

A24 j,t-Field minpoly = x
A24   r-Field minpoly = x^2-x+1                   r-Field = Q(sqrt(-3))

B1  jtr-Field minpoly = x

B2  j,t-Field minpoly = x
B2    r-Field minpoly = x^2-x+2                   r-Field = Q(sqrt(-7))

B3  jtr-Field minpoly = x

B4  jtr-Field minpoly = x

B5  jtr-Field minpoly = x

B6  j,t-Field minpoly = x
B6    r-Field minpoly = x^2-x+1                   r-Field = Q(sqrt(-3))

B7  jtr-Field minpoly = x

B8  jtr-Field minpoly = x

B9  j,t-Field minpoly = x
B9    r-Field minpoly = x^2+2                     r-Field = Q(sqrt(-2))

B10 j,t-Field minpoly = x
B10   r-Field minpoly = x^2+2                     r-Field = Q(sqrt(-2))

B11 jtr-Field minpoly = x

B12 j,t-Field minpoly = x
B12   r-Field minpoly = x^2-x+2                   r-Field = Q(sqrt(-7))

B13 jtr-Field minpoly = x

B14 jtr-Field minpoly = x

B15 jtr-Field minpoly = x

B16 jtr-Field minpoly = x

B17 jtr-Field minpoly = x

B18 j,t-Field minpoly = x
B18   r-Field minpoly = x^2-x+4                   r-Field = Q(sqrt(-15))

B19 j,t-Field minpoly = x
B19   r-Field minpoly = x^2-x+4                   r-Field = Q(sqrt(-15))

B20 jtr-Field minpoly = x

B21 j,t-Field minpoly = x
B21   r-Field minpoly = x^2+1                     r-Field = Q(sqrt(-1))

B22 j,t-Field minpoly = x
B22   r-Field minpoly = x^2+1                     r-Field = Q(sqrt(-1))

B23 jtr-Field minpoly = x

B24 jtr-Field minpoly = x

B25 jtr-Field minpoly = x

B26 jtr-Field minpoly = x

B27 j,t-Field minpoly = x
B27   r-Field minpoly = x^2-x+1                   r-Field = Q(sqrt(-3))

B28 j,t-Field minpoly = x
B28   r-Field minpoly = x^2-x+1                   r-Field = Q(sqrt(-3))

B29 jtr-Field minpoly = x

B30 jtr-Field minpoly = x

B31 jtr-Field minpoly = x

B32 jtr-Field minpoly = x

B33 jtr-Field minpoly = x

B34 jtr-Field minpoly = x

C1    j-Field minpoly = x
C1  t,r-Field minpoly = x^2-2

C2    j-Field minpoly = x
C2    t-Field minpoly = x^2-2
C2    r-Field minpoly = x^4+6*x^2+16              r-Field = Q(t,sqrt(-7))

C3    j-Field minpoly = x
C3    t-Field minpoly = x^2-2
C3    r-Field minpoly = x^4+2*x^2+4               r-Field = Q(t,sqrt(-3))

C4    j-Field minpoly = x
C4  t,r-Field minpoly = x^2-2

C5    j-Field minpoly = x
C5  t,r-Field minpoly = x^2-3

C6    j-Field minpoly = x
C6    t-Field minpoly = x^2-3
C6    r-Field minpoly = x^4-x^2+1                 r-Field = Q(t,sqrt(-1))

C7    j-Field minpoly = x
C7  t,r-Field minpoly = x^2-3

C8    j-Field minpoly = x
C8  t,r-Field minpoly = x^2-3

C9    j-Field minpoly = x
C9  t,r-Field minpoly = x^2-3

C10   j-Field minpoly = x
C10 t,r-Field minpoly = x^2-3

C11   j-Field minpoly = x
C11   t-Field minpoly = x^2-3
C11   r-Field minpoly = x^4-x^2+1                 r-Field = Q(t,sqrt(-1))

C12   j-Field minpoly = x
C12 t,r-Field minpoly = x^2-3

C13   j-Field minpoly = x
C13 t,r-Field minpoly = x^2-3

C14   j-Field minpoly = x
C14 t,r-Field minpoly = x^2-x-1

C15   j-Field minpoly = x
C15 t,r-Field minpoly = x^2-x-1

C16   j-Field minpoly = x
C16 t,r-Field minpoly = x^2-x-1

C17   j-Field minpoly = x
C17 t,r-Field minpoly = x^2-x-1

C18   j-Field minpoly = x
C18 t,r-Field minpoly = x^2-x-1

C19   j-Field minpoly = x
C19 t,r-Field minpoly = x^2-6

C20   j-Field minpoly = x
C20 t,r-Field minpoly = x^2-6

C21   j-Field minpoly = x
C21 t,r-Field minpoly = x^2-6

C22   j-Field minpoly = x
C22   t-Field minpoly = x^2-6
C22   r-Field minpoly = x^4+9                     r-Field = Q(t,sqrt(-1))

C23   j-Field minpoly = x
C23 t,r-Field minpoly = x^2-6

C24   j-Field minpoly = x
C24   t-Field minpoly = x^2-6
C24   r-Field minpoly = x^4+9                     r-Field = Q(t,sqrt(-1))

C25   j-Field minpoly = x
C25 t,r-Field minpoly = x^2-6

C26   j-Field minpoly = x
C26 t,r-Field minpoly = x^2-7

C27   j-Field minpoly = x
C27 t,r-Field minpoly = x^2-7

C28   j-Field minpoly = x
C28 t,r-Field minpoly = x^2-7

C29   j-Field minpoly = x
C29 t,r-Field minpoly = x^2-7

C30   j-Field minpoly = x
C30   t-Field minpoly = x^2-10
C30   r-Field minpoly = x^4-4*x^2+9               r-Field = Q(t,sqrt(-2))

C31   j-Field minpoly = x
C31   t-Field minpoly = x^2-10
C31   r-Field minpoly = x^4-2*x^2+16              r-Field = Q(t,sqrt(-15))

C32   j-Field minpoly = x
C32 t,r-Field minpoly = x^2-10

C33   j-Field minpoly = x
C33 t,r-Field minpoly = x^2-x-3

C34   j-Field minpoly = x
C34 t,r-Field minpoly = x^2-x-5

C35   j-Field minpoly = x
C35 t,r-Field minpoly = x^2-x-5

C36   j-Field minpoly = x
C36 t,r-Field minpoly = x^2-x-5

C37   j-Field minpoly = x
C37 t,r-Field minpoly = x^2-x-5

C38   j-Field minpoly = x
C38 t,r-Field minpoly = x^2-x-5

C39   j-Field minpoly = x
C39 t,r-Field minpoly = x^2-x-26

C40   j-Field minpoly = x
C40 t,r-Field minpoly = x^2-x-26

C41   j-Field minpoly = x
C41 t,r-Field minpoly = x^2-x-68

C42   j-Field minpoly = x
C42 t,r-Field minpoly = x^2-x-96

D1    j-Field minpoly = x
D1  t,r-Field minpoly = x^2+1

D2    j-Field minpoly = x
D2  t,r-Field minpoly = x^2+1

D3    j-Field minpoly = x
D3  t,r-Field minpoly = x^2+1

D4    j-Field minpoly = x
D4  t,r-Field minpoly = x^2+1

D5    j-Field minpoly = x
D5  t,r-Field minpoly = x^2+1

D6    j-Field minpoly = x
D6  t,r-Field minpoly = x^2+1

D7    j-Field minpoly = x
D7  t,r-Field minpoly = x^2+2

D8    j-Field minpoly = x
D8  t,r-Field minpoly = x^2+2

D9    j-Field minpoly = x
D9  t,r-Field minpoly = x^2+2

D10   j-Field minpoly = x
D10 t,r-Field minpoly = x^2+2

D11   j-Field minpoly = x
D11 t,r-Field minpoly = x^2+2

D12   j-Field minpoly = x
D12 t,r-Field minpoly = x^2+2

D13   j-Field minpoly = x
D13 t,r-Field minpoly = x^2+2

D14   j-Field minpoly = x
D14 t,r-Field minpoly = x^2+2

D15   j-Field minpoly = x
D15 t,r-Field minpoly = x^2+2

D16   j-Field minpoly = x
D16 t,r-Field minpoly = x^2+2

D17   j-Field minpoly = x
D17 t,r-Field minpoly = x^2+2

D18   j-Field minpoly = x
D18 t,r-Field minpoly = x^2-x+1

D19   j-Field minpoly = x
D19 t,r-Field minpoly = x^2-x+1

D20   j-Field minpoly = x
D20 t,r-Field minpoly = x^2-x+1

D21   j-Field minpoly = x
D21 t,r-Field minpoly = x^2-x+1

D22   j-Field minpoly = x
D22 t,r-Field minpoly = x^2-x+1

D23   j-Field minpoly = x
D23 t,r-Field minpoly = x^2-x+1

D24   j-Field minpoly = x
D24   t-Field minpoly = x^2-x+1
D24   r-Field minpoly = x^4-2*x^2+4               r-Field = Q(t,sqrt(-2))

D25   j-Field minpoly = x
D25 t,r-Field minpoly = x^2-x+1

D26   j-Field minpoly = x
D26 t,r-Field minpoly = x^2-x+1

D27   j-Field minpoly = x
D27 t,r-Field minpoly = x^2-x+1

D28   j-Field minpoly = x
D28 t,r-Field minpoly = x^2-x+1

D29   j-Field minpoly = x
D29 t,r-Field minpoly = x^2-x+1

D30   j-Field minpoly = x
D30 t,r-Field minpoly = x^2+5

D31   j-Field minpoly = x
D31 t,r-Field minpoly = x^2+5

D32   j-Field minpoly = x
D32 t,r-Field minpoly = x^2+5

D33   j-Field minpoly = x
D33 t,r-Field minpoly = x^2+5

D34   j-Field minpoly = x
D34 t,r-Field minpoly = x^2+5

D35   j-Field minpoly = x
D35 t,r-Field minpoly = x^2+5

D36   j-Field minpoly = x
D36 t,r-Field minpoly = x^2+6

D37   j-Field minpoly = x
D37 t,r-Field minpoly = x^2-x+2

D38   j-Field minpoly = x
D38 t,r-Field minpoly = x^2-x+2

D39   j-Field minpoly = x
D39 t,r-Field minpoly = x^2-x+2

D40   j-Field minpoly = x
D40 t,r-Field minpoly = x^2-x+2

D41   j-Field minpoly = x
D41 t,r-Field minpoly = x^2-x+2

D42   j-Field minpoly = x
D42 t,r-Field minpoly = x^2+14

D43   j-Field minpoly = x
D43 t,r-Field minpoly = x^2-x+4

D44   j-Field minpoly = x
D44 t,r-Field minpoly = x^2-x+4

D45   j-Field minpoly = x
D45   t-Field minpoly = x^2-x+4
D45   r-Field minpoly = x^4+x^2+4                 r-Field = Q(t,sqrt(3))

D46   j-Field minpoly = x
D46 t,r-Field minpoly = x^2-x+4

D47   j-Field minpoly = x
D47 t,r-Field minpoly = x^2-x+4

D48   j-Field minpoly = x
D48 t,r-Field minpoly = x^2-x+9

D49   j-Field minpoly = x
D49 t,r-Field minpoly = x^2-x+10

D50   j-Field minpoly = x
D50 t,r-Field minpoly = x^2-x+10

E1    j-Field minpoly = x
E1  t,r-Field minpoly = x^6-3*x^2+6

E2    j-Field minpoly = x
E2  t,r-Field minpoly = x^6-3*x^2+6

E3    j-Field minpoly = x
E3  t,r-Field minpoly = x^6-3*x^2+6

E4    j-Field minpoly = x
E4  t,r-Field minpoly = x^6-6*x^4+9*x^2+8

E5    j-Field minpoly = x
E5  t,r-Field minpoly = x^6-6*x^4+9*x^2+8

E6    j-Field minpoly = x
E6  t,r-Field minpoly = x^6-6*x^4+9*x^2+8

E7    j-Field minpoly = x
E7  t,r-Field minpoly = x^6+4*x^4-3*x^2+2

E8    j-Field minpoly = x
E8  t,r-Field minpoly = x^6+4*x^4-3*x^2+2

E9    j-Field minpoly = x
E9  t,r-Field minpoly = x^6+4*x^4-3*x^2+2

E10   j-Field minpoly = x
E10 t,r-Field minpoly = x^6+4*x^4-3*x^2+2

E11   j-Field minpoly = x
E11 t,r-Field minpoly = x^6+4*x^4-3*x^2+2

E12   j-Field minpoly = x
E12 t,r-Field minpoly = x^6-3*x^5+3*x^4-x^3+3*x^2-3*x+1

E13   j-Field minpoly = x
E13 t,r-Field minpoly = x^6-3*x^5+3*x^4-x^3+3*x^2-3*x+1

E14   j-Field minpoly = x
E14 t,r-Field minpoly = x^6-3*x^5+3*x^4-x^3+3*x^2-3*x+1

E15   j-Field minpoly = x
E15 t,r-Field minpoly = x^6-7*x^4+20*x^2+4

E16   j-Field minpoly = x
E16 t,r-Field minpoly = x^6+8*x^4+29*x^2+26

E17   j-Field minpoly = x
E17 t,r-Field minpoly = x^6-3*x^5+4*x^4-3*x^3-2*x^2+3*x+3

E18   j-Field minpoly = x
E18 t,r-Field minpoly = x^6-3*x^5+4*x^4-3*x^3-2*x^2+3*x+3

E19   j-Field minpoly = x
E19 t,r-Field minpoly = x^6-3*x^5+4*x^4-3*x^3-8*x^2+9*x+27

E20   j-Field minpoly = x
E20 t,r-Field minpoly = x^6+16*x^4+13*x^2+6

E21   j-Field minpoly = x
E21 t,r-Field minpoly = x^6+3*x^4+39*x^2+21

E22   j-Field minpoly = x
E22 t,r-Field minpoly = x^6+3*x^4+39*x^2+21

E23   j-Field minpoly = x
E23 t,r-Field minpoly = x^6-3*x^5+8*x^4-11*x^3+8*x^2-3*x+1

E24   j-Field minpoly = x
E24 t,r-Field minpoly = x^6-3*x^4-4*x^2+20

E25   j-Field minpoly = x
E25 t,r-Field minpoly = x^6-2*x^5+6*x^4+22*x^3+41*x^2+48*x+36

F1  j,t-Field minpoly = x^2-2
F1    r-Field minpoly = x^4+2*x^2+4               r-Field = Q(t,sqrt(-3))

F2  j,t-Field minpoly = x^2-2
F2    r-Field minpoly = x^4+2*x^2+4               r-Field = Q(t,sqrt(-3))

F3  jtr-Field minpoly = x^2-2

F4    j-Field minpoly = x^2-2
F4    t-Field minpoly = x^4-4*x^2+2
F4    r-Field minpoly = x^8+1                     r-Field = Q(t,sqrt(-1))

F5    j-Field minpoly = x^2-2
F5    t-Field minpoly = x^4-12*x^2+18
F5    r-Field minpoly = x^8-4*x^6+14*x^4-8*x^2+4  r-Field = Q(t,sqrt(-3))

F6    j-Field minpoly = x^2-2
F6    t-Field minpoly = x^4-2*x^3+5*x^2-4*x+2
F6    r-Field minpoly = x^8-4*x^7+14*x^6-28*x^5+43*x^4-44*x^3+30*x^2-12*x+2  r-Field = Q(t,sqrt(-1))

F7    j-Field minpoly = x^2-2
F7  t,r-Field minpoly = x^4-2*x^3-x^2-4*x-2

F8    j-Field minpoly = x^2-2
F8  t,r-Field minpoly = x^4-2*x^3-x^2-4*x-2

F9  j,t-Field minpoly = x^2-3
F9    r-Field minpoly = x^4-x^2+1                 r-Field = Q(t,sqrt(-1))

F10 j,t-Field minpoly = x^2-x-1
F10   r-Field minpoly = x^4-x^3+x^2-x+1           r-Field = Q(t,sqrt(-5/2+1/2*5^(1/2)))

F11 j,t-Field minpoly = x^2-x-1
F11   r-Field minpoly = x^4-x^3+x^2-x+1           r-Field = Q(t,sqrt(-5/2+1/2*5^(1/2)))

F12 j,t-Field minpoly = x^2-x-1
F12   r-Field minpoly = x^4-x^3+x^2-x+1           r-Field = Q(t,sqrt(-5/2+1/2*5^(1/2)))

F13   j-Field minpoly = x^2-x-1
F13 t,r-Field minpoly = x^4-x^2-1

F14   j-Field minpoly = x^2-x-1
F14 t,r-Field minpoly = x^4-5

F15   j-Field minpoly = x^2-x-1
F15 t,r-Field minpoly = x^4-5

F16   j-Field minpoly = x^2-x-1
F16   t-Field minpoly = x^4-10*x^2+20
F16   r-Field minpoly = x^8-2*x^6+4*x^4-8*x^2+16  r-Field = Q(t,sqrt(-2))

F17   j-Field minpoly = x^2-x-1
F17   t-Field minpoly = x^4-7*x^2+11
F17   r-Field minpoly = x^8+x^6+16*x^4+66*x^2+121  r-Field = Q(t,sqrt(-5/2+1/2*5^(1/2)))

F18   j-Field minpoly = x^2-6
F18 t,r-Field minpoly = x^4-2*x^3-3*x^2+4*x-2

F19   j-Field minpoly = x^2-6
F19 t,r-Field minpoly = x^4-2*x^3-3*x^2+4*x-2

F20   j-Field minpoly = x^2-7
F20 t,r-Field minpoly = x^4-5*x^2+1

F21   j-Field minpoly = x^2-7
F21 t,r-Field minpoly = x^4-2*x^3-6*x+9

F22   j-Field minpoly = x^2-7
F22 t,r-Field minpoly = x^4-4*x^2-3

F23 jtr-Field minpoly = x^2-x-5

F24   j-Field minpoly = x^2-x-5
F24 t,r-Field minpoly = x^4-x^3-3*x^2-x+1

F25   j-Field minpoly = x^2-22
F25 t,r-Field minpoly = x^4-44*x+99

G1  jtr-Field minpoly = x^2+1

G2  jtr-Field minpoly = x^2+1

G3    j-Field minpoly = x^2+1
G3  t,r-Field minpoly = x^4+1

G4    j-Field minpoly = x^2+1
G4  t,r-Field minpoly = x^4-2*x^3+2

G5    j-Field minpoly = x^2+1
G5  t,r-Field minpoly = x^4-2*x^3+2

G6    j-Field minpoly = x^2+1
G6  t,r-Field minpoly = x^4-2*x^3+2

G7    j-Field minpoly = x^2+1
G7  t,r-Field minpoly = x^4-4*x^2+5

G8    j-Field minpoly = x^2+1
G8  t,r-Field minpoly = x^4-2*x^3-2*x+5

G9    j-Field minpoly = x^2+1
G9  t,r-Field minpoly = x^4+x^2-4*x+4

G10 jtr-Field minpoly = x^2+2

G11   j-Field minpoly = x^2+2
G11 t,r-Field minpoly = x^4+2

G12   j-Field minpoly = x^2+2
G12 t,r-Field minpoly = x^4+2*x^2+3

G13   j-Field minpoly = x^2+2
G13 t,r-Field minpoly = x^4-4*x^2+6

G14   j-Field minpoly = x^2+2
G14 t,r-Field minpoly = x^4-4*x^2+6

G15   j-Field minpoly = x^2+2
G15 t,r-Field minpoly = x^4-2*x^3+x^2+2

G16   j-Field minpoly = x^2+2
G16 t,r-Field minpoly = x^4-2*x^3-x^2+6

G17   j-Field minpoly = x^2+2
G17 t,r-Field minpoly = x^12-4*x^11+10*x^10-12*x^9+x^8+24*x^7-32*x^6-8*x^5+90*x^4-144*x^3+128*x^2-64*x+16

G18   j-Field minpoly = x^2+2
G18 t,r-Field minpoly = x^12-4*x^11+10*x^10-12*x^9+x^8+24*x^7-32*x^6-8*x^5+90*x^4-144*x^3+128*x^2-64*x+16

G19 jtr-Field minpoly = x^2-x+1

G20   j-Field minpoly = x^2-x+1
G20 t,r-Field minpoly = x^4-3*x^2+3

G21   j-Field minpoly = x^2-x+1
G21 t,r-Field minpoly = x^4-x^3+2*x+1

G22   j-Field minpoly = x^2-x+1
G22 t,r-Field minpoly = x^4-5*x^2+7

G23   j-Field minpoly = x^2-x+1
G23 t,r-Field minpoly = x^4-5*x^2+7

G24   j-Field minpoly = x^2-x+1
G24 t,r-Field minpoly = x^4-5*x^2+7

G25   j-Field minpoly = x^2-x+1
G25 t,r-Field minpoly = x^4-x^3+9*x^2-4*x+16

G26   j-Field minpoly = x^2-x+1
G26 t,r-Field minpoly = x^12-x^9+3*x^6-x^3+1

G27   j-Field minpoly = x^2-x+1
G27 t,r-Field minpoly = x^12-6*x^11+18*x^10-26*x^9-3*x^8+90*x^7-168*x^6+108*x^5+99*x^4-260*x^3+228*x^2-96*x+16

G28   j-Field minpoly = x^2-x+1
G28 t,r-Field minpoly = x^12-3*x^11-x^10+12*x^9-3*x^8-33*x^7+11*x^6+66*x^5+7*x^4-87*x^3-39*x^2+39*x+39

G29   j-Field minpoly = x^2+5
G29 t,r-Field minpoly = x^4-2*x^3-x^2+2*x+6

G30 jtr-Field minpoly = x^2-x+2

G31 jtr-Field minpoly = x^2-x+2

G32 jtr-Field minpoly = x^2-x+2

G33   j-Field minpoly = x^2-x+2
G33 t,r-Field minpoly = x^4-x^3+x+1

G34   j-Field minpoly = x^2-x+2
G34 t,r-Field minpoly = x^4-3*x^2+4

G35   j-Field minpoly = x^2-x+2
G35 t,r-Field minpoly = x^4-x^3+3*x^2-4*x+2

G36   j-Field minpoly = x^2-x+2
G36 t,r-Field minpoly = x^4-x^3+3*x^2-4*x+2

G37   j-Field minpoly = x^2-x+2
G37 t,r-Field minpoly = x^4-x^2+2

G38   j-Field minpoly = x^2-x+2
G38 t,r-Field minpoly = x^4-x^2+2

G39   j-Field minpoly = x^2-x+2
G39 t,r-Field minpoly = x^4-x^3-4*x^2+10*x+16

G40   j-Field minpoly = x^2-x+2
G40 t,r-Field minpoly = x^4-x^3-2*x^2+2*x+4

G41   j-Field minpoly = x^2-x+2
G41 t,r-Field minpoly = x^4-x^3-2*x^2+2*x+4

G42   j-Field minpoly = x^2-x+2
G42 t,r-Field minpoly = x^4-x^3-3*x^2-x+8

G43   j-Field minpoly = x^2-x+2
G43 t,r-Field minpoly = x^4-2*x^3+x+2

G44   j-Field minpoly = x^2-x+2
G44 t,r-Field minpoly = x^12-3*x^11+9*x^10-20*x^9+32*x^8-40*x^7+36*x^6-70*x^5+147*x^4-133*x^3+35*x^2+42*x+28

G45   j-Field minpoly = x^2-x+3
G45 t,r-Field minpoly = x^12-x^11-2*x^10+4*x^9+6*x^8-27*x^7+41*x^6-27*x^5+6*x^4+4*x^3-2*x^2-x+1

G46   j-Field minpoly = x^2-x+4
G46 t,r-Field minpoly = x^4-3*x^2+6

G47   j-Field minpoly = x^2-x+4
G47 t,r-Field minpoly = x^4-3*x^2+6

G48   j-Field minpoly = x^2-x+4
G48 t,r-Field minpoly = x^4-3*x^2+6

G49   j-Field minpoly = x^2-x+4
G49 t,r-Field minpoly = x^4+15

G50   j-Field minpoly = x^2-x+4
G50 t,r-Field minpoly = x^4+15

G51   j-Field minpoly = x^2-x+4
G51 t,r-Field minpoly = x^4+3*x^2+6

G52   j-Field minpoly = x^2-x+4
G52 t,r-Field minpoly = x^12+6*x^10+81*x^8+771*x^6+7146*x^4-11205*x^2+109440

H1  j,t-Field minpoly = x^3-3*x-1
H1    r-Field minpoly = x^6-x^3+1                 r-Field = Q(t,sqrt(-3))

H2  jtr-Field minpoly = x^3-3

H3    j-Field minpoly = x^3-3
H3  t,r-Field minpoly = x^6+6*x^4-3*x^3+3*x^2+2

H4  jtr-Field minpoly = x^3-2

H5    j-Field minpoly = x^3-2
H5  t,r-Field minpoly = x^6+3*x^4-2*x^3+3*x^2-6*x+3

H6  jtr-Field minpoly = x^3+3*x-2

H7    j-Field minpoly = x^3-3*x-4
H7  t,r-Field minpoly = x^6+3*x^4+9*x^2+3

H8    j-Field minpoly = x^3-3*x-4
H8  t,r-Field minpoly = x^6+3*x^4-10*x^3-9*x^2-24*x-2

H9    j-Field minpoly = x^3-3*x-4
H9  t,r-Field minpoly = x^6+3*x^4+9*x^2+11

H10   j-Field minpoly = x^3-x^2-2*x+1
H10   t-Field minpoly = x^6-7*x^4+14*x^2-7
H10   r-Field minpoly = x^12-x^10+x^8-x^6+x^4-x^2+1  r-Field = Q(t,sqrt(-1))

H11   j-Field minpoly = x^3-x^2-2*x+1
H11   t-Field minpoly = x^6-x^5-6*x^4+6*x^3+8*x^2-8*x+1
H11   r-Field minpoly = x^12-x^11+x^9-x^8+x^6-x^4+x^3-x+1  r-Field = Q(t,sqrt(-3))

H12   j-Field minpoly = x^3-x^2-2*x+1
H12   t-Field minpoly = x^6-2*x^5-12*x^4+18*x^3+23*x^2-16*x+1
H12   r-Field minpoly = x^12-5*x^10+19*x^8-28*x^6+31*x^4-6*x^2+1  r-Field = Q(t,sqrt(-1))

H13   j-Field minpoly = x^3-x^2-2*x+1
H13   t-Field minpoly = x^6-2*x^5+2*x^4-3*x^3+2*x^2-2*x+1
H13   r-Field minpoly = x^12-2*x^11+2*x^10+2*x^9-4*x^8+3*x^6-4*x^4+2*x^3+2*x^2-2*x+1  r-Field = Q(t,sqrt(-3))

H14   j-Field minpoly = x^3-x^2-2*x+1
H14   t-Field minpoly = x^6-2*x^5+x^4+3*x^3-4*x^2+3*x-1
H14   r-Field minpoly = x^12-4*x^11+6*x^10-5*x^9+2*x^8+7*x^7-13*x^6+11*x^4-2*x^3-4*x^2+x+1  r-Field = Q(t,sqrt(-7))

H15 jtr-Field minpoly = x^3-x^2+2*x+2

H16 jtr-Field minpoly = x^3-x^2+2*x+2

H17   j-Field minpoly = x^3-x^2+2*x+2
H17 t,r-Field minpoly = x^6+4*x^4+2*x^2-8

H18   j-Field minpoly = x^3-x^2+2*x+2
H18 t,r-Field minpoly = x^6-2*x^4+3*x^2-4

H19   j-Field minpoly = x^3-x^2+2*x+2
H19 t,r-Field minpoly = x^6+2*x^4+18*x^2+4

H20   j-Field minpoly = x^3-x^2+2*x+2
H20 t,r-Field minpoly = x^6+10*x^4+30*x^2+20

H21   j-Field minpoly = x^3-x^2+2*x+2
H21 t,r-Field minpoly = x^6-2*x^5-5*x^4+20*x^3+10*x^2-72*x-56

H22   j-Field minpoly = x^3-x^2+2*x+2
H22 t,r-Field minpoly = x^6-2*x^5-5*x^4+20*x^3+10*x^2-72*x-56

H23   j-Field minpoly = x^3-x^2+2*x+2
H23 t,r-Field minpoly = x^6+7*x^4-10*x^3+28*x^2-20*x+4

H24   j-Field minpoly = x^3+3*x-1
H24 t,r-Field minpoly = x^6+3*x^4-2*x^3+3*x^2-3*x+3

H25   j-Field minpoly = x^3+3*x-1
H25 t,r-Field minpoly = x^6+3*x^4-2*x^3+3*x^2-3*x+3

H26   j-Field minpoly = x^3-x^2+x+1
H26 t,r-Field minpoly = x^6-x^5-x^4+5*x^3-2*x^2-4*x+4

H27   j-Field minpoly = x^3-x^2+x+1
H27 t,r-Field minpoly = x^6-3*x^5+3*x^4-x^3+6*x^2-6*x+34

H28   j-Field minpoly = x^3-x^2+x+1
H28 t,r-Field minpoly = x^6-3*x^5+3*x^4-x^3+6*x^2-6*x+34

H29 jtr-Field minpoly = x^3-x-2

H30   j-Field minpoly = x^3-x^2-3*x-3
H30 t,r-Field minpoly = x^6+5*x^4+15*x^2+15

H31   j-Field minpoly = x^3-3*x-8
H31 t,r-Field minpoly = x^6-3*x^5+9*x^4-13*x^3+36*x^2-30*x+8

H32   j-Field minpoly = x^3+6*x-1
H32 t,r-Field minpoly = x^6-3*x^5+6*x^4-7*x^3-6*x^2+9*x+6

H33   j-Field minpoly = x^3-x^2+2*x-3
H33 t,r-Field minpoly = x^6-x^5+4*x+1

H34   j-Field minpoly = x^3-x^2+2*x-3
H34 t,r-Field minpoly = x^6+5*x^4+10*x^2+5

H35   j-Field minpoly = x^3-x^2+5*x+1
H35 t,r-Field minpoly = x^6-x^5+7*x^4-5*x^3+14*x^2-2*x+6

H36   j-Field minpoly = x^3-6*x-12
H36 t,r-Field minpoly = x^6-3*x^2-16

H37   j-Field minpoly = x^3-6*x-12
H37 t,r-Field minpoly = x^6+3*x^4-24*x^2-84

H38   j-Field minpoly = x^3-x^2-2*x-6
H38 t,r-Field minpoly = x^6-x^5+5*x^4-6*x^3+28*x^2-14*x+14

H39 jtr-Field minpoly = x^3+2*x-2

H40 jtr-Field minpoly = x^3+2*x-2

H41   j-Field minpoly = x^3+2*x-2
H41 t,r-Field minpoly = x^6-5*x^4+7*x^2-7

H42   j-Field minpoly = x^3+2*x-2
H42 t,r-Field minpoly = x^6-x^5-3*x^4-3*x^3+8*x^2+4*x+4

H43   j-Field minpoly = x^3+2*x-2
H43 t,r-Field minpoly = x^6-3*x^5+3*x^4-x^3+2*x^2-2*x+2

H44   j-Field minpoly = x^3+2*x-2
H44 t,r-Field minpoly = x^6-3*x^5-3*x^4+5*x^3+10*x^2-20

H45   j-Field minpoly = x^3-x^2+5*x-13
H45 t,r-Field minpoly = x^18+6*x^16+11*x^14+72*x^12+427*x^10+862*x^8+1237*x^6+1012*x^4+404*x^2+64

H46   j-Field minpoly = x^3-x^2+5*x-13
H46 t,r-Field minpoly = x^18+6*x^16+11*x^14+72*x^12+427*x^10+862*x^8+1237*x^6+1012*x^4+404*x^2+64

H47   j-Field minpoly = x^3-x^2+5*x+15
H47 t,r-Field minpoly = x^6+9*x^4+34*x^2+6

H48   j-Field minpoly = x^3-x^2+5*x+15
H48 t,r-Field minpoly = x^6-x^5-6*x^4+62*x^3-139*x^2+195*x-48

H49   j-Field minpoly = x^3-x^2+6*x+5
H49 t,r-Field minpoly = x^6-3*x^5+25*x^4-45*x^3+223*x^2-201*x+531

H50 jtr-Field minpoly = x^3+4*x-2

H51   j-Field minpoly = x^3+4*x-2
H51 t,r-Field minpoly = x^6-x^5-7*x^4+11*x^3+10*x^2-30*x+18

H52 jtr-Field minpoly = x^3-x^2+3

H53 jtr-Field minpoly = x^3-x^2+12*x-6

I1  jtr-Field minpoly = x^4-2*x^3+6*x^2-4*x+2

I2  jtr-Field minpoly = x^4-x^3+3*x^2-4*x+2

I3    j-Field minpoly = x^4-x^3+3*x^2-4*x+2
I3  t,r-Field minpoly = x^8-x^6+10*x^4+3*x^2+9

I4    j-Field minpoly = x^4-x^3+3*x^2+3*x+2
I4  t,r-Field minpoly = x^8-3*x^6+6*x^4-10*x^2+8

I5    j-Field minpoly = x^4-x^3+3*x^2+3*x+2
I5  t,r-Field minpoly = x^8-3*x^7+3*x^6-5*x^5+12*x^4-12*x^3+10*x^2-10*x+8

I6    j-Field minpoly = x^4-x^3+3*x^2+3*x+2
I6  t,r-Field minpoly = x^24-3*x^22-37*x^20+130*x^18+332*x^16-998*x^14+2226*x^12-604*x^10+153*x^8+417*x^6+139*x^4+50*x^2+50

I7    j-Field minpoly = x^4-2*x^3+2*x^2+2
I7  t,r-Field minpoly = x^8-4*x^7+6*x^6-4*x^5+5*x^4-8*x^3-4*x^2+8*x+8

I8    j-Field minpoly = x^4-x^3+2*x+1
I8  t,r-Field minpoly = x^8-2*x^7+4*x^5-5*x^4+3*x^3+3*x^2-6*x+3

I9    j-Field minpoly = x^4-x^3+2*x+1
I9  t,r-Field minpoly = x^24-3*x^23+5*x^21+48*x^20-90*x^19-98*x^18+45*x^17+822*x^16-595*x^15-1122*x^14-336*x^13+5011*x^12-3396*x^11-4245*x^10-520*x^9+19179*x^8-14343*x^7-9479*x^6+942*x^5+29508*x^4-35134*x^3+18309*x^2-4803*x+541

I10 jtr-Field minpoly = x^4-2*x^2-4*x-1

I11   j-Field minpoly = x^4-3*x^2+6
I11 t,r-Field minpoly = x^8-2*x^6+6*x^4-20*x^2+40

I12 jtr-Field minpoly = x^4-2*x^3+3

I13   j-Field minpoly = x^4-2*x^3+3
I13 t,r-Field minpoly = x^8-2*x^7+10*x^6-8*x^5+16*x^4-2*x^3+12*x^2+3

I14   j-Field minpoly = x^4-14*x+21
I14 t,r-Field minpoly = x^24-8*x^23+20*x^22-20*x^21+137*x^20-986*x^19+3859*x^18-9060*x^17+12075*x^16-2058*x^15-27573*x^14+64308*x^13-77910*x^12+47622*x^11+22767*x^10-113916*x^9+204906*x^8-268236*x^7+277504*x^6-228848*x^5+149696*x^4-75872*x^3+28640*x^2-7424*x+1024

I15 jtr-Field minpoly = x^4-x^3+16*x-4

I16 jtr-Field minpoly = x^4-2*x^3+x^2+2

I17 jtr-Field minpoly = x^4-x^3+3*x^2+x+2

I18 jtr-Field minpoly = x^4-3*x^2-2*x+6

I19   j-Field minpoly = x^4-3*x^2-2*x+6
I19 t,r-Field minpoly = x^8-2*x^7+6*x^6-16*x^5+59*x^4-66*x^3+120*x^2-84*x+18

I20 jtr-Field minpoly = x^4+3*x^2-7*x+4

I21 jtr-Field minpoly = x^4-x^3+9*x^2+5*x+4

I22   j-Field minpoly = x^5-2*x^3-4*x^2-5*x-4
I22 t,r-Field minpoly = x^10+4*x^8-20*x^6+32*x^4-18*x^2+8

I23   j-Field minpoly = x^5-2*x^3-4*x^2-5*x-4
I23 t,r-Field minpoly = x^10-2*x^9-6*x^8-26*x^6+116*x^5+456*x^4-336*x^3-1658*x^2+356*x-964

I24 jtr-Field minpoly = x^5-2*x^3-4*x^2-6*x-4

I25 jtr-Field minpoly = x^5-x^4+2*x^3-2*x^2-x-1

I26 jtr-Field minpoly = x^5-x^4-2*x^3+5*x^2-2*x+2

I27   j-Field minpoly = x^5-2*x^4+2*x^3-3*x^2+3
I27 t,r-Field minpoly = x^10-8*x^6-3*x^4+18*x^2+9

I28   j-Field minpoly = x^5-2*x^4+2*x^3-3*x^2+3
I28 t,r-Field minpoly = x^10-x^9+3*x^8+5*x^7-23*x^6+39*x^5-23*x^4+5*x^3+3*x^2-x+1

I29 jtr-Field minpoly = x^5-2*x^4+2*x^3-4*x^2+x+8

I30   j-Field minpoly = x^5-2*x^4+2*x^3-4*x^2+x+8
I30 t,r-Field minpoly = x^10-10*x^8+30*x^6-55*x^2-66

I31 jtr-Field minpoly = x^5-x^4-6*x^3+10*x^2-5*x+5

I32   j-Field minpoly = x^5-2*x^4+2*x^3-4*x^2-2*x-2
I32 t,r-Field minpoly = x^10-2*x^9-6*x^8+6*x^7+14*x^6-30*x^5-20*x^4+140*x^3+360*x^2+440*x+264

I33 jtr-Field minpoly = x^5-2*x^4+2*x^2-3*x-6

J1    j-Field minpoly = x^6-2*x^5-x^4+2*x^2+4*x+2
J1  t,r-Field minpoly = x^12-2*x^10+29*x^8-8*x^6+18*x^4-12*x^2+6

J2  jtr-Field minpoly = x^6-8*x^3+9*x^2+18

J3    j-Field minpoly = x^6-3*x^5+6*x^4-3*x^3+3*x^2-3*x+2
J3  t,r-Field minpoly = x^12-3*x^10-4*x^9+6*x^8+12*x^7+5*x^6-21*x^5-9*x^4+31*x^3+51*x^2+12

J4    j-Field minpoly = x^6-3*x^5+6*x^4-3*x^3+3*x^2-3*x+2
J4  t,r-Field minpoly = x^12-9*x^10+39*x^8-97*x^6+150*x^4-135*x^2+60

J5  jtr-Field minpoly = x^6-2*x^5+5*x^2+5

J6    j-Field minpoly = x^6-x^5+7*x^4-5*x^3+14*x^2-2*x+6
J6  t,r-Field minpoly = x^12+7*x^10+7*x^8-63*x^6+588

J7    j-Field minpoly = x^6-x^5+3*x^4-3*x^3-2*x^2+4*x+2
J7  t,r-Field minpoly = x^12-3*x^11+10*x^10-12*x^9+20*x^8+4*x^6+6*x^5+21*x^4-x^3+6*x^2+2*x+2

J8    j-Field minpoly = x^6-3*x^5+5*x^4-5*x^3+x+2
J8  t,r-Field minpoly = x^12-2*x^11+11*x^10-5*x^9+30*x^8+42*x^7+66*x^6-73*x^5-70*x^4+20*x^3+152*x^2+96*x+32

J9    j-Field minpoly = x^6-3*x^5+9*x^4-11*x^3+30*x^2-18*x+46
J9  t,r-Field minpoly = x^12-5*x^11+3*x^10+x^9+48*x^8-72*x^7+350*x^6-316*x^5-120*x^4+224*x^3+1776*x^2-864*x+4896

J10 jtr-Field minpoly = x^6+x^4-3*x^3+6*x^2-4*x+2

J11 jtr-Field minpoly = x^6-3*x^5-6*x^4+4*x^3+45*x^2+27*x+4

J12   j-Field minpoly = x^6-2*x^5+3*x^4+x^2+4*x+2
J12 t,r-Field minpoly = x^12+13*x^10-2*x^9+61*x^8-21*x^7+118*x^6-73*x^5+74*x^4-90*x^3+19*x^2-24*x+48

J13   j-Field minpoly = x^7-x^6-2*x^4-x^3+2*x^2+2*x+2
J13 t,r-Field minpoly = x^14-x^13+9*x^12+6*x^11+25*x^10+66*x^9+111*x^8+168*x^7+261*x^6+342*x^5+359*x^4+279*x^3+162*x^2+52*x+20

J14   j-Field minpoly = x^7-x^6-x^5+5*x^4+5*x^3-4*x^2-6*x-2
J14 t,r-Field minpoly = x^14-2*x^13+11*x^12-12*x^11+86*x^10-399*x^9+1575*x^8-4246*x^7+8226*x^6-10884*x^5+9725*x^4-5709*x^3+2132*x^2-464*x+52

J15   j-Field minpoly = x^7-2*x^6-4*x^5-3*x^4+5*x^3-4*x^2+2*x-2
J15 t,r-Field minpoly = x^14-2*x^13-4*x^12+11*x^11+5*x^10-11*x^9+16*x^8-44*x^7-28*x^6+126*x^5+63*x^4+21*x^3+98*x^2-49*x+49

J16   j-Field minpoly = x^7-x^6+x^5+5*x^4+x^3+6*x^2+9*x+3
J16 t,r-Field minpoly = x^14-6*x^13+12*x^12-11*x^11+7*x^10+5*x^9+14*x^8-4*x^7+48*x^6-10*x^5+79*x^4-20*x^3+54*x^2+24*x+3

J17   j-Field minpoly = x^7-3*x^6+2*x^5+6*x^4-6*x^3-4*x^2+4*x+4
J17 t,r-Field minpoly = x^14-2*x^13+x^12+19*x^11-63*x^10+9*x^9+370*x^8-1093*x^7+314*x^6+4202*x^5-14966*x^4+27256*x^3-35748*x^2+28964*x-14104

J18   j-Field minpoly = x^8-2*x^7+6*x^6-8*x^5+18*x^4-20*x^3+16*x^2-20*x+10
J18 t,r-Field minpoly = x^16-6*x^15+22*x^14-56*x^13+104*x^12-148*x^11+136*x^10-56*x^9-73*x^8+210*x^7-206*x^6+164*x^5-6*x^4-56*x^3+96*x^2-52*x+26

J19   j-Field minpoly = x^9-2*x^8+13*x^7-30*x^6+81*x^5-118*x^4+171*x^3-114*x^2+70*x-8
J19 t,r-Field minpoly = x^18-x^17-14*x^16-4*x^15+108*x^14+100*x^13-516*x^12-364*x^11+813*x^10+3123*x^9-5310*x^8+1204*x^7-9774*x^6+40398*x^5-62152*x^4+51964*x^3-26880*x^2+8720*x-1408

J20   j-Field minpoly = x^9-x^8-4*x^6+4*x^4+8*x^3+8*x^2+2*x-2
J20 t,r-Field minpoly = x^18-6*x^17+29*x^16-96*x^15+282*x^14-648*x^13+1314*x^12-2108*x^11+2935*x^10-3142*x^9+3179*x^8-3084*x^7+4656*x^6-7464*x^5+11368*x^4-12352*x^3+11544*x^2-6032*x+1976

J21 jtr-Field minpoly = x^10-4*x^9+4*x^8+8*x^7-12*x^6-32*x^5+80*x^4-16*x^3-60*x^2+16*x+16

J22 jtr-Field minpoly = x^10-3*x^9+14*x^8-39*x^7+110*x^6-217*x^5+381*x^4-478*x^3+518*x^2-370*x+200

J23 jtr-Field minpoly = x^11-x^10-6*x^9+11*x^8+2*x^7-28*x^6+26*x^5+44*x^4-104*x^3+112*x^2-64*x+32

J24 jtr-Field minpoly = x^13-2*x^12-6*x^11+2*x^10+37*x^9-4*x^8-50*x^7-46*x^6+6*x^5+54*x^4+70*x^3+40*x^2+8*x-2

J25   j-Field minpoly = x^13-3*x^12+8*x^11-6*x^10+6*x^9-8*x^8+14*x^7+8*x^6+8*x^5-6*x^4+6*x^3+7*x^2+7*x+14
J25 t,r-Field minpoly = x^26-14*x^24+38*x^22+336*x^20-2965*x^18+11249*x^16-24499*x^14+28519*x^12-8239*x^10-14564*x^8+5775*x^6+6996*x^4+1925*x^2+176

J26   j-Field minpoly = x^13-3*x^12+8*x^11-6*x^10+6*x^9-8*x^8+14*x^7+8*x^6+8*x^5-6*x^4+6*x^3+7*x^2+7*x+14
J26 t,r-Field minpoly = x^26-6*x^25+32*x^24-100*x^23+416*x^22-1202*x^21+3518*x^20-8003*x^19+18014*x^18-41816*x^17+49949*x^16-159105*x^15+198887*x^14-181760*x^13+812957*x^12-792352*x^11-298081*x^10-3885455*x^9-1619338*x^8+4502428*x^7+10616095*x^6+4877607*x^5-9565437*x^4-12375636*x^3-2185596*x^2+6050520*x+3682791

J27   j-Field minpoly = x^14-x^13-4*x^12-3*x^11+8*x^10+41*x^9-30*x^8-88*x^7+78*x^6+8*x^5-8*x^4-36*x^3+64*x^2-4*x+4
J27 t,r-Field minpoly = x^28-3*x^27-5*x^26+78*x^25-250*x^24-161*x^23+2571*x^22-6364*x^21+3545*x^20+34290*x^19-92748*x^18+113151*x^17+179494*x^16-728629*x^15+767973*x^14+436518*x^13-2070888*x^12+668711*x^11+2796649*x^10-1544777*x^9-1867088*x^8+1209156*x^7+619690*x^6-540104*x^5-7600*x^4+87576*x^3-24914*x^2+3878*x+15282

J28   j-Field minpoly = x^15-5*x^14+15*x^13-21*x^12+19*x^11+17*x^10-31*x^9-3*x^8+411*x^7-1027*x^6+1661*x^5-1515*x^4+1137*x^3-553*x^2+307*x-29
J28 t,r-Field minpoly = x^30-x^29-13*x^28+88*x^27-275*x^26-199*x^25+3833*x^24-13368*x^23+27579*x^22-14935*x^21-57325*x^20+253274*x^19-430227*x^18+368587*x^17-361255*x^16-1119820*x^15+2954058*x^14-12450612*x^13+18642328*x^12-3836778*x^11-19334994*x^10+158961962*x^9-16357698*x^8+167507970*x^7+447217860*x^6+199297824*x^5+477664344*x^4+238467744*x^3+176169600*x^2+69306624*x+10795392