// Electronic appendix to "Ranks of elliptic curves over function fields",
// by Alan G.B. Lauder. Published in LMS JCM.

FpXY<X,Y>:=PolynomialRing(GF(7),2);
QT<T>:=PolynomialRing(Rationals());

// List of 1250 pairs [*f,P*] where P is the unitarised L-function of the
// elliptic curve Z^2 = f(X,Y) over the function field F_7(Y), where F_7 is the
// finite field with 7 elements. Thus P(7T) is the L-function of Z^2 = f(X,Y).

ULp7d18:=[ [*
    X^3 + 5*X*Y^9 + 6*X*Y^7 + 5*X*Y^6 + X*Y^5 + X*Y^3 + 4*X*Y^2 + 5*X*Y + 3*X + Y^18
        + 5*Y^17 + 5*Y^15 + 2*Y^14 + 4*Y^13 + Y^12 + 6*Y^11 + 4*Y^10 + 2*Y^9 + 3*Y^8
        + 6*Y^7 + 3*Y^6 + 4*Y^5 + 5*Y^4 + 4*Y^3 + 5*Y^2 + 4*Y + 5,
    T^32 - 5/7*T^31 + 30/49*T^30 + 9/49*T^29 - 25/49*T^28 - 1/49*T^27 - 2/49*T^26 - 
        2/7*T^25 + 8/49*T^24 - 2/49*T^23 + 4/49*T^21 - 12/49*T^20 - 17/49*T^19 + 
        15/49*T^18 - 1/7*T^17 + 4/49*T^16 - 1/7*T^15 + 15/49*T^14 - 17/49*T^13 - 
        12/49*T^12 + 4/49*T^11 - 2/49*T^9 + 8/49*T^8 - 2/7*T^7 - 2/49*T^6 - 1/49*T^5
        - 25/49*T^4 + 9/49*T^3 + 30/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 
        2*X*Y^2 + 4*X*Y + 5*X + Y^18 + 6*Y^17 + 3*Y^16 + 4*Y^15 + 5*Y^13 + 2*Y^12 + 
        2*Y^11 + 5*Y^9 + 6*Y^8 + Y^7 + 4*Y^6 + 5*Y^4 + 4*Y^3 + 2*Y^2 + Y + 6,
    -T^32 - 10/7*T^31 - 2/49*T^30 + 58/49*T^29 + 5/49*T^28 - 41/49*T^27 + 25/49*T^26
        + 65/49*T^25 - 15/49*T^24 - 64/49*T^23 + 30/49*T^22 + 62/49*T^21 - 
        23/49*T^20 - 73/49*T^19 + 4/7*T^18 + 97/49*T^17 - 97/49*T^15 - 4/7*T^14 + 
        73/49*T^13 + 23/49*T^12 - 62/49*T^11 - 30/49*T^10 + 64/49*T^9 + 15/49*T^8 - 
        65/49*T^7 - 25/49*T^6 + 41/49*T^5 - 5/49*T^4 - 58/49*T^3 + 2/49*T^2 + 10/7*T
        + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + X*Y^7 + X*Y^6 + 5*X*Y^5 + X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 
        X + 6*Y^18 + 6*Y^17 + 4*Y^16 + 2*Y^15 + 3*Y^14 + 6*Y^13 + 3*Y^12 + Y^11 + 
        Y^10 + 3*Y^9 + 5*Y^8 + 3*Y^7 + Y^6 + 5*Y^5 + 2*Y^4 + 4*Y^2 + 3*Y + 4,
    T^32 + 9/7*T^31 + 16/49*T^30 - 36/49*T^29 + 9/49*T^28 + 65/49*T^27 + 26/49*T^26 
        - 51/49*T^25 - 29/49*T^24 + 38/49*T^23 + 34/49*T^22 - 18/49*T^21 - 3/7*T^20 
        + 32/49*T^19 + 34/49*T^18 + 3/49*T^17 - 4/7*T^16 + 3/49*T^15 + 34/49*T^14 + 
        32/49*T^13 - 3/7*T^12 - 18/49*T^11 + 34/49*T^10 + 38/49*T^9 - 29/49*T^8 - 
        51/49*T^7 + 26/49*T^6 + 65/49*T^5 + 9/49*T^4 - 36/49*T^3 + 16/49*T^2 + 9/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + X*Y^7 + X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 2*X*Y^2 + 3*X*Y + 
        6*Y^18 + 6*Y^17 + 2*Y^16 + Y^15 + 2*Y^14 + 4*Y^13 + 4*Y^12 + Y^11 + Y^10 + 
        5*Y^9 + 3*Y^7 + 5*Y^5 + 4*Y^4 + 4*Y^3 + 5*Y^2 + 4*Y + 6,
    T^32 + 16/7*T^31 + 128/49*T^30 + 67/49*T^29 - 60/49*T^28 - 26/7*T^27 - 
        235/49*T^26 - 29/7*T^25 - 68/49*T^24 + 123/49*T^23 + 260/49*T^22 + 
        302/49*T^21 + 225/49*T^20 + 57/49*T^19 - 125/49*T^18 - 39/7*T^17 - 
        338/49*T^16 - 39/7*T^15 - 125/49*T^14 + 57/49*T^13 + 225/49*T^12 + 
        302/49*T^11 + 260/49*T^10 + 123/49*T^9 - 68/49*T^8 - 29/7*T^7 - 235/49*T^6 -
        26/7*T^5 - 60/49*T^4 + 67/49*T^3 + 128/49*T^2 + 16/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 3*X*Y^3 + 5*X*Y^2 + 5*Y^18 + 3*Y^17 
        + 3*Y^16 + 3*Y^15 + 6*Y^13 + 6*Y^12 + 3*Y^11 + 6*Y^10 + 6*Y^9 + 2*Y^8 + 
        5*Y^6 + 6*Y^4 + 5*Y^3 + Y^2 + 5*Y + 6,
    -T^32 + 5/7*T^31 + 17/49*T^30 - 33/49*T^29 + 1/7*T^28 + 25/49*T^27 - 1/7*T^26 + 
        5/49*T^25 - 10/49*T^24 + 5/49*T^23 + 15/49*T^22 - 13/49*T^21 - 2/7*T^20 - 
        2/49*T^19 - 8/49*T^18 - 11/49*T^17 + 11/49*T^15 + 8/49*T^14 + 2/49*T^13 + 
        2/7*T^12 + 13/49*T^11 - 15/49*T^10 - 5/49*T^9 + 10/49*T^8 - 5/49*T^7 + 
        1/7*T^6 - 25/49*T^5 - 1/7*T^4 + 33/49*T^3 - 17/49*T^2 - 5/7*T + 1
*], [*
    X^3 + X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + X*Y^5 + 6*X*Y^4 + X*Y^3 + 4*X*Y^2 + 5*X*Y + 
        4*X + 4*Y^18 + 6*Y^17 + 4*Y^16 + 4*Y^15 + 6*Y^14 + 6*Y^12 + 3*Y^11 + 4*Y^10 
        + 3*Y^8 + 3*Y^7 + 2*Y^6 + 2*Y^5 + 2*Y^4 + 3*Y^3 + 6*Y + 4,
    T^32 + 11/7*T^31 + 3/49*T^30 - 110/49*T^29 - 107/49*T^28 + 92/49*T^26 + 
        111/49*T^25 + 44/49*T^24 - 12/7*T^23 - 138/49*T^22 - 68/49*T^21 + 12/7*T^20 
        + 24/7*T^19 + 96/49*T^18 - 100/49*T^17 - 209/49*T^16 - 100/49*T^15 + 
        96/49*T^14 + 24/7*T^13 + 12/7*T^12 - 68/49*T^11 - 138/49*T^10 - 12/7*T^9 + 
        44/49*T^8 + 111/49*T^7 + 92/49*T^6 - 107/49*T^4 - 110/49*T^3 + 3/49*T^2 + 
        11/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        5*X*Y^2 + X*Y + X + Y^18 + 5*Y^17 + 4*Y^16 + 6*Y^15 + 5*Y^14 + 6*Y^13 + 
        6*Y^12 + 2*Y^11 + 4*Y^9 + Y^8 + 5*Y^7 + Y^6 + 6*Y^5 + 4*Y^4 + 6*Y^3 + 6*Y^2 
        + 4*Y + 6,
    T^32 - 3*T^31 + 171/49*T^30 - 86/49*T^29 - 11/49*T^28 + 68/49*T^27 - 114/49*T^26
        + 152/49*T^25 - 144/49*T^24 + 2*T^23 - 6/7*T^22 - 2/49*T^21 + 33/49*T^20 - 
        79/49*T^19 + 100/49*T^18 - 68/49*T^17 + 44/49*T^16 - 68/49*T^15 + 
        100/49*T^14 - 79/49*T^13 + 33/49*T^12 - 2/49*T^11 - 6/7*T^10 + 2*T^9 - 
        144/49*T^8 + 152/49*T^7 - 114/49*T^6 + 68/49*T^5 - 11/49*T^4 - 86/49*T^3 + 
        171/49*T^2 - 3*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        2*X*Y^2 + 5*X*Y + 6*X + Y^18 + 3*Y^17 + 2*Y^16 + 3*Y^15 + 5*Y^14 + 4*Y^13 + 
        6*Y^12 + 3*Y^11 + 5*Y^10 + 3*Y^8 + 6*Y^7 + 3*Y^6 + 4*Y^5 + 4*Y^3 + 3*Y^2 + 
        4*Y,
    -T^32 - 1/7*T^31 + 52/49*T^30 + 6/49*T^29 + 4/49*T^28 - 9/49*T^27 - 11/49*T^26 +
        1/7*T^25 + 17/49*T^24 - 15/49*T^23 - 8/7*T^22 + 10/49*T^21 + 50/49*T^20 + 
        26/49*T^19 - 8/49*T^18 - 13/49*T^17 + 13/49*T^15 + 8/49*T^14 - 26/49*T^13 - 
        50/49*T^12 - 10/49*T^11 + 8/7*T^10 + 15/49*T^9 - 17/49*T^8 - 1/7*T^7 + 
        11/49*T^6 + 9/49*T^5 - 4/49*T^4 - 6/49*T^3 - 52/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + 4*X*Y^2 + 
        3*X*Y + 2*X + 4*Y^18 + 3*Y^17 + Y^16 + 6*Y^15 + 3*Y^14 + 2*Y^12 + 3*Y^11 + 
        3*Y^10 + 4*Y^9 + 5*Y^8 + 5*Y^7 + 3*Y^6 + 3*Y^5 + 5*Y^4 + 3*Y^3 + 3*Y + 3,
    T^32 + 6/7*T^31 - 23/49*T^30 - 8/49*T^29 + 34/49*T^28 - 33/49*T^26 - 18/49*T^25 
        + 12/49*T^24 - 11/49*T^23 - 50/49*T^22 - 13/49*T^21 + 47/49*T^20 + 
        12/49*T^19 - 6/7*T^18 + 10/49*T^17 + 65/49*T^16 + 10/49*T^15 - 6/7*T^14 + 
        12/49*T^13 + 47/49*T^12 - 13/49*T^11 - 50/49*T^10 - 11/49*T^9 + 12/49*T^8 - 
        18/49*T^7 - 33/49*T^6 + 34/49*T^4 - 8/49*T^3 - 23/49*T^2 + 6/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + X*Y^7 + 4*X*Y^6 + 4*X*Y^3 + 4*X*Y^2 + 2*X*Y + 2*X + 
        6*Y^18 + Y^17 + 3*Y^16 + 5*Y^15 + Y^13 + Y^11 + 2*Y^10 + 3*Y^9 + 6*Y^8 + 
        5*Y^7 + 3*Y^6 + 6*Y^5 + 6*Y^4 + 5*Y^3 + 5*Y^2 + 2*Y + 3,
    T^32 - 2/7*T^31 + 16/49*T^30 - 34/49*T^29 - 3/7*T^28 - 31/49*T^27 + 33/49*T^26 +
        11/49*T^25 + 18/49*T^24 + 4/7*T^23 - 24/49*T^22 - 3/49*T^21 - 31/49*T^20 - 
        16/49*T^19 - 2/7*T^18 + 45/49*T^17 + 1/49*T^16 + 45/49*T^15 - 2/7*T^14 - 
        16/49*T^13 - 31/49*T^12 - 3/49*T^11 - 24/49*T^10 + 4/7*T^9 + 18/49*T^8 + 
        11/49*T^7 + 33/49*T^6 - 31/49*T^5 - 3/7*T^4 - 34/49*T^3 + 16/49*T^2 - 2/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^7 + 2*X*Y^6 + X*Y^5 + 3*X*Y^3 + 6*X*Y^2 + 4*X*Y + 5*X + 
        6*Y^18 + 3*Y^16 + Y^15 + 5*Y^14 + 4*Y^13 + 5*Y^12 + 4*Y^11 + 2*Y^10 + 5*Y^9 
        + 5*Y^8 + Y^7 + 2*Y^6 + 6*Y^5 + 4*Y^3 + 3*Y^2 + 3*Y + 3,
    T^32 + T^31 + 6/7*T^30 + 58/49*T^29 + 51/49*T^28 + 66/49*T^27 + 45/49*T^26 + 
        8/49*T^25 - 15/49*T^24 - 11/49*T^23 - 13/49*T^22 - 4/7*T^21 - 26/49*T^20 - 
        18/49*T^19 - 1/7*T^18 + 6/49*T^17 + 17/49*T^16 + 6/49*T^15 - 1/7*T^14 - 
        18/49*T^13 - 26/49*T^12 - 4/7*T^11 - 13/49*T^10 - 11/49*T^9 - 15/49*T^8 + 
        8/49*T^7 + 45/49*T^6 + 66/49*T^5 + 51/49*T^4 + 58/49*T^3 + 6/7*T^2 + T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        5*X*Y^2 + 6*X + 3*Y^18 + 2*Y^17 + 5*Y^16 + 3*Y^15 + 2*Y^14 + Y^12 + 2*Y^11 +
        6*Y^10 + 4*Y^9 + 6*Y^8 + 2*Y^7 + 2*Y^6 + 6*Y^5 + 6*Y^4 + 4*Y^3 + 4*Y + 1,
    T^32 - 2/7*T^31 - 17/49*T^30 + 6/7*T^29 - 13/49*T^28 - 41/49*T^27 + 34/49*T^26 +
        20/49*T^25 - 73/49*T^24 + 19/49*T^23 + 60/49*T^22 - 96/49*T^21 + 2/49*T^20 +
        86/49*T^19 - 65/49*T^18 - 26/49*T^17 + 75/49*T^16 - 26/49*T^15 - 65/49*T^14 
        + 86/49*T^13 + 2/49*T^12 - 96/49*T^11 + 60/49*T^10 + 19/49*T^9 - 73/49*T^8 +
        20/49*T^7 + 34/49*T^6 - 41/49*T^5 - 13/49*T^4 + 6/7*T^3 - 17/49*T^2 - 2/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        5*X*Y^2 + 3*X*Y + X + 2*Y^18 + 6*Y^17 + 4*Y^16 + 3*Y^15 + 4*Y^13 + 3*Y^11 + 
        5*Y^10 + 2*Y^9 + 4*Y^8 + 2*Y^6 + Y^5 + 5*Y^2 + 6*Y + 4,
    -T^32 + 20/7*T^31 - 139/49*T^30 - 22/49*T^29 + 194/49*T^28 - 177/49*T^27 - 
        1/49*T^26 + 92/49*T^25 + 45/49*T^24 - 226/49*T^23 + 165/49*T^22 + 
        123/49*T^21 - 333/49*T^20 + 232/49*T^19 + 51/49*T^18 - 164/49*T^17 + 
        164/49*T^15 - 51/49*T^14 - 232/49*T^13 + 333/49*T^12 - 123/49*T^11 - 
        165/49*T^10 + 226/49*T^9 - 45/49*T^8 - 92/49*T^7 + 1/49*T^6 + 177/49*T^5 - 
        194/49*T^4 + 22/49*T^3 + 139/49*T^2 - 20/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + 4*X*Y^2 + 3*X*Y + 4*Y^18 + 2*Y^17 + 
        5*Y^16 + 5*Y^15 + 2*Y^14 + 3*Y^13 + 3*Y^12 + 5*Y^11 + Y^10 + 4*Y^7 + 4*Y^6 +
        6*Y^4 + 4*Y^3 + 6*Y^2 + 2*Y + 2,
    -T^32 + 39/49*T^30 + 6/49*T^29 - 34/49*T^28 - 23/49*T^27 + 11/49*T^26 + 
        3/49*T^25 + 13/49*T^24 + 1/7*T^23 - 34/49*T^22 + 1/7*T^21 + 24/49*T^20 + 
        11/49*T^19 - 16/49*T^18 - 6/49*T^17 + 6/49*T^15 + 16/49*T^14 - 11/49*T^13 - 
        24/49*T^12 - 1/7*T^11 + 34/49*T^10 - 1/7*T^9 - 13/49*T^8 - 3/49*T^7 - 
        11/49*T^6 + 23/49*T^5 + 34/49*T^4 - 6/49*T^3 - 39/49*T^2 + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 5*X*Y^3 + X*Y^2 + 6*X + 
        3*Y^18 + 6*Y^17 + Y^16 + 3*Y^15 + 3*Y^14 + 5*Y^12 + 2*Y^11 + 5*Y^10 + 3*Y^9 
        + 2*Y^8 + 3*Y^7 + 2*Y^6 + 3*Y^5 + 5*Y^4 + 2*Y^3 + 2*Y^2 + 2*Y,
    T^32 - T^31 + 13/49*T^30 + 8/49*T^29 - 11/49*T^28 - 1/7*T^27 - 11/49*T^26 + 
        54/49*T^25 - 6/7*T^24 + 2/49*T^23 - 18/49*T^22 + 26/49*T^21 - 12/49*T^20 - 
        17/49*T^19 + 45/49*T^18 - 2/7*T^17 - 16/49*T^16 - 2/7*T^15 + 45/49*T^14 - 
        17/49*T^13 - 12/49*T^12 + 26/49*T^11 - 18/49*T^10 + 2/49*T^9 - 6/7*T^8 + 
        54/49*T^7 - 11/49*T^6 - 1/7*T^5 - 11/49*T^4 + 8/49*T^3 + 13/49*T^2 - T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 
        2*X*Y^2 + 2*X*Y + 3*X + 4*Y^18 + 6*Y^17 + 2*Y^16 + 5*Y^15 + 6*Y^14 + 4*Y^13 
        + 2*Y^12 + 6*Y^11 + 4*Y^10 + Y^9 + 3*Y^8 + Y^6 + Y^5 + 2*Y^4 + 4*Y^3 + 6*Y^2
        + 6*Y + 2,
    -T^32 - 5/7*T^31 - 45/49*T^30 - 52/49*T^29 + 26/49*T^28 + 20/49*T^27 + 12/7*T^26
        + 104/49*T^25 + 75/49*T^24 + 74/49*T^23 - 6/49*T^22 - 60/49*T^21 - 
        102/49*T^20 - 136/49*T^19 - 17/7*T^18 - 10/7*T^17 + 10/7*T^15 + 17/7*T^14 + 
        136/49*T^13 + 102/49*T^12 + 60/49*T^11 + 6/49*T^10 - 74/49*T^9 - 75/49*T^8 -
        104/49*T^7 - 12/7*T^6 - 20/49*T^5 - 26/49*T^4 + 52/49*T^3 + 45/49*T^2 + 
        5/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 2*X*Y^6 + X*Y^5 + 3*X*Y^4 + X*Y^3 + 5*X*Y + 6*X + Y^18 +
        5*Y^17 + Y^16 + Y^15 + 4*Y^13 + 3*Y^12 + 5*Y^11 + Y^10 + Y^9 + 3*Y^8 + 5*Y^6
        + 5*Y^4 + 5*Y^3 + 2*Y^2 + Y + 6,
    -T^32 + 10/7*T^31 - 30/49*T^30 + 4/49*T^29 + 16/49*T^28 - 26/49*T^27 + 9/49*T^26
        - 9/49*T^25 - 3/49*T^24 + 30/49*T^23 - 1/49*T^22 - 18/49*T^21 + 30/49*T^20 -
        45/49*T^19 + 34/49*T^18 - 10/49*T^17 + 10/49*T^15 - 34/49*T^14 + 45/49*T^13 
        - 30/49*T^12 + 18/49*T^11 + 1/49*T^10 - 30/49*T^9 + 3/49*T^8 + 9/49*T^7 - 
        9/49*T^6 + 26/49*T^5 - 16/49*T^4 - 4/49*T^3 + 30/49*T^2 - 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 3*X*Y^5 + 2*X*Y^4 + 2*X*Y^2 + 6*X*Y + 6*X + 
        2*Y^18 + 5*Y^17 + Y^16 + 6*Y^14 + 5*Y^13 + 4*Y^12 + 2*Y^11 + 6*Y^8 + 4*Y^7 +
        4*Y^5 + 6*Y^4 + 4*Y^3 + Y + 2,
    -T^32 - 2/7*T^31 + 96/49*T^30 + 46/49*T^29 - 67/49*T^28 - 71/49*T^27 + 9/49*T^26
        + 60/49*T^25 + 26/49*T^24 - 16/49*T^23 - 27/49*T^22 - 6/7*T^21 - 1/7*T^20 + 
        62/49*T^19 + 24/49*T^18 - 31/49*T^17 + 31/49*T^15 - 24/49*T^14 - 62/49*T^13 
        + 1/7*T^12 + 6/7*T^11 + 27/49*T^10 + 16/49*T^9 - 26/49*T^8 - 60/49*T^7 - 
        9/49*T^6 + 71/49*T^5 + 67/49*T^4 - 46/49*T^3 - 96/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + X*Y^5 + 6*X*Y^4 + 2*X*Y + X + Y^18 + 4*Y^17 
        + 3*Y^15 + 4*Y^14 + 2*Y^12 + 2*Y^11 + Y^9 + 3*Y^8 + 6*Y^7 + 3*Y^6 + 6*Y^5 + 
        5*Y^4 + Y^2 + 2*Y + 4,
    T^32 + 6/7*T^31 - 58/49*T^30 - 83/49*T^29 + 36/49*T^28 + 100/49*T^27 - 
        10/49*T^26 - 2*T^25 - 22/49*T^24 + 92/49*T^23 + 76/49*T^22 - 50/49*T^21 - 
        93/49*T^20 + 15/49*T^19 + 12/7*T^18 + 1/7*T^17 - 74/49*T^16 + 1/7*T^15 + 
        12/7*T^14 + 15/49*T^13 - 93/49*T^12 - 50/49*T^11 + 76/49*T^10 + 92/49*T^9 - 
        22/49*T^8 - 2*T^7 - 10/49*T^6 + 100/49*T^5 + 36/49*T^4 - 83/49*T^3 - 
        58/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + X*Y^4 + 2*X*Y^3 + 6*X*Y^2 
        + X*Y + 5*X + 4*Y^18 + 4*Y^17 + 5*Y^15 + 2*Y^14 + 6*Y^12 + 5*Y^11 + Y^8 + 
        5*Y^7 + Y^6 + 5*Y^5 + Y^4 + 4*Y^3 + Y^2 + 4*Y + 2,
    -T^32 - 5/49*T^30 - 13/49*T^29 + 29/49*T^28 - 11/49*T^27 + 1/7*T^26 - 10/49*T^25
        - 25/49*T^24 + 5/49*T^23 - 18/49*T^22 - 12/49*T^21 + 5/49*T^20 - 13/49*T^19 
        + 16/49*T^18 + 1/49*T^17 - 1/49*T^15 - 16/49*T^14 + 13/49*T^13 - 5/49*T^12 +
        12/49*T^11 + 18/49*T^10 - 5/49*T^9 + 25/49*T^8 + 10/49*T^7 - 1/7*T^6 + 
        11/49*T^5 - 29/49*T^4 + 13/49*T^3 + 5/49*T^2 + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 
        3*X*Y + 2*X + 5*Y^18 + 5*Y^17 + 4*Y^16 + 6*Y^15 + 6*Y^14 + 4*Y^13 + 5*Y^11 +
        3*Y^10 + 4*Y^9 + 5*Y^8 + 3*Y^6 + Y^5 + 6*Y^4 + 4*Y^3 + 5*Y^2 + 4*Y,
    T^32 - 9/7*T^31 - 8/49*T^30 + 81/49*T^29 - 6/7*T^28 - 44/49*T^27 + 45/49*T^26 + 
        5/7*T^25 - 69/49*T^24 + 4/49*T^23 + 66/49*T^22 - 55/49*T^21 - 25/49*T^20 + 
        71/49*T^19 - 48/49*T^18 - 25/49*T^17 + 72/49*T^16 - 25/49*T^15 - 48/49*T^14 
        + 71/49*T^13 - 25/49*T^12 - 55/49*T^11 + 66/49*T^10 + 4/49*T^9 - 69/49*T^8 +
        5/7*T^7 + 45/49*T^6 - 44/49*T^5 - 6/7*T^4 + 81/49*T^3 - 8/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 5*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 2*X + 
        2*Y^18 + 5*Y^17 + 3*Y^16 + 2*Y^15 + 2*Y^14 + 4*Y^13 + 3*Y^11 + 2*Y^10 + 
        5*Y^9 + 5*Y^8 + 5*Y^7 + Y^6 + 3*Y^5 + 2*Y^4 + 4*Y^3 + 5*Y^2 + Y + 4,
    T^32 - 17/7*T^31 + 151/49*T^30 - 155/49*T^29 + 110/49*T^28 - 10/49*T^27 - 
        61/49*T^26 + 81/49*T^25 - 100/49*T^24 + 2*T^23 - 73/49*T^22 + 45/49*T^21 - 
        10/49*T^20 - 1/7*T^19 - 23/49*T^18 + 67/49*T^17 - 82/49*T^16 + 67/49*T^15 - 
        23/49*T^14 - 1/7*T^13 - 10/49*T^12 + 45/49*T^11 - 73/49*T^10 + 2*T^9 - 
        100/49*T^8 + 81/49*T^7 - 61/49*T^6 - 10/49*T^5 + 110/49*T^4 - 155/49*T^3 + 
        151/49*T^2 - 17/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 3*X*Y + 5*X + 
        4*Y^18 + 6*Y^17 + Y^16 + 2*Y^15 + 3*Y^14 + 4*Y^13 + 6*Y^12 + 5*Y^11 + 3*Y^10
        + 2*Y^9 + 4*Y^8 + Y^6 + 4*Y^5 + 4*Y^3 + Y + 5,
    -T^32 - 2*T^31 - 92/49*T^30 - 59/49*T^29 - 5/7*T^28 - 27/49*T^27 + 18/49*T^26 + 
        74/49*T^25 + 87/49*T^24 + 53/49*T^23 - 1/7*T^22 - 72/49*T^21 - 117/49*T^20 -
        129/49*T^19 - 106/49*T^18 - 69/49*T^17 + 69/49*T^15 + 106/49*T^14 + 
        129/49*T^13 + 117/49*T^12 + 72/49*T^11 + 1/7*T^10 - 53/49*T^9 - 87/49*T^8 - 
        74/49*T^7 - 18/49*T^6 + 27/49*T^5 + 5/7*T^4 + 59/49*T^3 + 92/49*T^2 + 2*T + 
        1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        3*X*Y + 4*X + Y^18 + 3*Y^17 + 5*Y^16 + Y^15 + 5*Y^14 + 6*Y^12 + 5*Y^11 + 
        5*Y^10 + 5*Y^9 + 2*Y^7 + 3*Y^5 + 4*Y^4 + Y^3 + Y^2 + 2*Y + 1,
    -T^32 + 4/7*T^31 + 44/49*T^29 + 18/49*T^28 - 74/49*T^27 + 15/49*T^26 - 
        47/49*T^25 + 62/49*T^24 + 37/49*T^23 - 17/49*T^22 - 18/49*T^21 - 43/49*T^20 
        + 50/49*T^18 + 25/49*T^17 - 25/49*T^15 - 50/49*T^14 + 43/49*T^12 + 
        18/49*T^11 + 17/49*T^10 - 37/49*T^9 - 62/49*T^8 + 47/49*T^7 - 15/49*T^6 + 
        74/49*T^5 - 18/49*T^4 - 44/49*T^3 - 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 6*X*Y^2 + 5*X*Y 
        + 4*X + 2*Y^18 + 5*Y^17 + 6*Y^16 + 4*Y^14 + 2*Y^13 + 3*Y^12 + 5*Y^10 + 5*Y^9
        + Y^6 + 6*Y^5 + 6*Y^4 + 2*Y^3 + 6*Y^2 + 5*Y + 3,
    T^32 - 5/7*T^31 - 46/49*T^30 + 62/49*T^29 + 1/7*T^28 - 45/49*T^27 - 16/49*T^26 +
        20/49*T^25 + 2/7*T^24 - 22/49*T^23 - 32/49*T^22 + 29/49*T^21 + 13/49*T^20 - 
        34/49*T^19 + 18/49*T^18 + 16/49*T^17 + 4/49*T^16 + 16/49*T^15 + 18/49*T^14 -
        34/49*T^13 + 13/49*T^12 + 29/49*T^11 - 32/49*T^10 - 22/49*T^9 + 2/7*T^8 + 
        20/49*T^7 - 16/49*T^6 - 45/49*T^5 + 1/7*T^4 + 62/49*T^3 - 46/49*T^2 - 5/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        2*X*Y^2 + 3*X + 2*Y^18 + Y^17 + 3*Y^16 + 5*Y^15 + Y^14 + 2*Y^13 + 4*Y^12 + 
        4*Y^11 + 5*Y^10 + 2*Y^9 + 2*Y^8 + 5*Y^7 + 2*Y^5 + 2*Y^4 + 6*Y^3 + 2*Y^2 + 
        3*Y + 4,
    T^32 - 12/7*T^31 + 48/49*T^30 - 9/49*T^29 + 10/49*T^28 + 11/49*T^27 - 27/49*T^26
        + 4/49*T^25 - 13/49*T^24 + 33/49*T^23 - 15/49*T^22 - 20/49*T^21 + 15/49*T^20
        + 8/49*T^19 - 24/49*T^18 + 37/49*T^17 - 45/49*T^16 + 37/49*T^15 - 24/49*T^14
        + 8/49*T^13 + 15/49*T^12 - 20/49*T^11 - 15/49*T^10 + 33/49*T^9 - 13/49*T^8 +
        4/49*T^7 - 27/49*T^6 + 11/49*T^5 + 10/49*T^4 - 9/49*T^3 + 48/49*T^2 - 12/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + X*Y^4 + 4*X*Y^3 + 4*X*Y^2 + X + Y^18 + 2*Y^17 
        + 5*Y^15 + 2*Y^14 + 6*Y^13 + 5*Y^12 + 2*Y^11 + 5*Y^10 + 3*Y^9 + 2*Y^8 + 
        3*Y^6 + 2*Y^5 + Y^3 + 6*Y^2 + 2*Y,
    T^32 - 3/7*T^31 - 50/49*T^30 + 18/49*T^29 + 24/49*T^28 - 45/49*T^27 + 22/49*T^26
        + 39/49*T^25 - 52/49*T^24 - 27/49*T^23 + 31/49*T^22 + 20/49*T^21 - 
        17/49*T^20 + 13/49*T^19 + 1/49*T^18 - 1/49*T^17 - 8/49*T^16 - 1/49*T^15 + 
        1/49*T^14 + 13/49*T^13 - 17/49*T^12 + 20/49*T^11 + 31/49*T^10 - 27/49*T^9 - 
        52/49*T^8 + 39/49*T^7 + 22/49*T^6 - 45/49*T^5 + 24/49*T^4 + 18/49*T^3 - 
        50/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 3*X*Y^5 + 3*X*Y^4 + X*Y^2 + 6*X*Y + X + 
        6*Y^18 + 3*Y^17 + Y^16 + 3*Y^15 + Y^14 + 5*Y^13 + 2*Y^12 + 2*Y^11 + 4*Y^9 + 
        2*Y^8 + 3*Y^7 + 3*Y^6 + Y^4 + 5*Y^3 + 5*Y^2 + 3*Y + 4,
    T^32 - 8/7*T^31 + 26/49*T^30 - 1/7*T^29 - 44/49*T^28 + 81/49*T^27 - 30/49*T^26 -
        3/49*T^25 + 25/49*T^24 - 61/49*T^23 + 67/49*T^22 - 20/49*T^21 - 31/49*T^20 +
        20/49*T^19 - 36/49*T^18 - 10/49*T^17 + 61/49*T^16 - 10/49*T^15 - 36/49*T^14 
        + 20/49*T^13 - 31/49*T^12 - 20/49*T^11 + 67/49*T^10 - 61/49*T^9 + 25/49*T^8 
        - 3/49*T^7 - 30/49*T^6 + 81/49*T^5 - 44/49*T^4 - 1/7*T^3 + 26/49*T^2 - 8/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 3*X*Y^2 + 4*X*Y 
        + 2*X + 2*Y^18 + Y^16 + Y^15 + 3*Y^14 + 4*Y^12 + 4*Y^11 + 3*Y^10 + 6*Y^9 + 
        2*Y^8 + 6*Y^7 + 6*Y^6 + Y^5 + 3*Y^4 + 4*Y^3 + 5*Y,
    T^32 + 5/7*T^31 + 13/49*T^30 + 30/49*T^29 + 36/49*T^28 + 4/49*T^27 - 2/49*T^26 +
        1/49*T^25 - 1/49*T^24 + 12/49*T^23 + 1/49*T^22 - 12/49*T^21 - 1/7*T^20 + 
        10/49*T^19 - 29/49*T^18 - 32/49*T^17 - 20/49*T^16 - 32/49*T^15 - 29/49*T^14 
        + 10/49*T^13 - 1/7*T^12 - 12/49*T^11 + 1/49*T^10 + 12/49*T^9 - 1/49*T^8 + 
        1/49*T^7 - 2/49*T^6 + 4/49*T^5 + 36/49*T^4 + 30/49*T^3 + 13/49*T^2 + 5/7*T +
        1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + X*Y^5 + X*Y^4 + 6*X*Y^3 + 6*X*Y^2 
        + 5*X*Y + 6*X + 2*Y^18 + 4*Y^16 + 6*Y^15 + 4*Y^14 + Y^13 + 6*Y^12 + 3*Y^11 +
        6*Y^10 + 6*Y^9 + 4*Y^8 + 4*Y^7 + 3*Y^6 + 5*Y^5 + 4*Y^4 + Y^3 + 2*Y + 2,
    -T^32 + 6/7*T^31 + 37/49*T^30 - 106/49*T^29 + 67/49*T^28 + 67/49*T^27 - 
        23/7*T^26 + 78/49*T^25 + 110/49*T^24 - 30/7*T^23 + 76/49*T^22 + 23/7*T^21 - 
        235/49*T^20 + 44/49*T^19 + 194/49*T^18 - 207/49*T^17 + 207/49*T^15 - 
        194/49*T^14 - 44/49*T^13 + 235/49*T^12 - 23/7*T^11 - 76/49*T^10 + 30/7*T^9 -
        110/49*T^8 - 78/49*T^7 + 23/7*T^6 - 67/49*T^5 - 67/49*T^4 + 106/49*T^3 - 
        37/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 2*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 
        2*X*Y + 2*X + 6*Y^18 + 3*Y^17 + 3*Y^16 + 4*Y^15 + 3*Y^14 + Y^13 + 5*Y^11 + 
        5*Y^10 + 6*Y^9 + 5*Y^8 + 6*Y^7 + 6*Y^6 + 4*Y^5 + 4*Y^4 + 4*Y^3 + 2*Y^2 + 4,
    T^32 + 10/7*T^31 + 34/49*T^30 + 1/49*T^29 + 4/49*T^28 + 41/49*T^27 + 80/49*T^26 
        + 57/49*T^25 + 26/49*T^24 + 22/49*T^23 + 3/49*T^22 + 19/49*T^21 + 55/49*T^20
        + 60/49*T^19 + 40/49*T^18 + 2/49*T^17 - 37/49*T^16 + 2/49*T^15 + 40/49*T^14 
        + 60/49*T^13 + 55/49*T^12 + 19/49*T^11 + 3/49*T^10 + 22/49*T^9 + 26/49*T^8 +
        57/49*T^7 + 80/49*T^6 + 41/49*T^5 + 4/49*T^4 + 1/49*T^3 + 34/49*T^2 + 10/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + X*Y^7 + X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 4*X*Y^2 
        + 5*X*Y + 3*Y^18 + 2*Y^17 + Y^16 + 5*Y^15 + 3*Y^14 + 5*Y^12 + 5*Y^11 + 
        4*Y^10 + 3*Y^8 + 4*Y^7 + 6*Y^6 + 5*Y^5 + Y^4 + 5*Y^2 + 6*Y + 1,
    -T^32 + 5/7*T^31 - 4/49*T^30 + 39/49*T^29 - 4/49*T^28 - 2/49*T^27 + 2/49*T^26 - 
        40/49*T^25 + 26/49*T^24 - 13/49*T^23 + 25/49*T^22 - 19/49*T^21 + 5/49*T^20 +
        9/49*T^19 - 2/7*T^18 - 1/49*T^17 + 1/49*T^15 + 2/7*T^14 - 9/49*T^13 - 
        5/49*T^12 + 19/49*T^11 - 25/49*T^10 + 13/49*T^9 - 26/49*T^8 + 40/49*T^7 - 
        2/49*T^6 + 2/49*T^5 + 4/49*T^4 - 39/49*T^3 + 4/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + X*Y^5 + 5*X*Y^3 + 4*X*Y^2 + 5*X*Y 
        + 3*X + 3*Y^18 + 5*Y^17 + 5*Y^16 + 3*Y^14 + 5*Y^13 + 3*Y^12 + Y^10 + Y^9 + 
        5*Y^8 + 2*Y^7 + 2*Y^6 + 5*Y^5 + Y^2 + 5*Y + 1,
    T^32 - 15/7*T^31 + 81/49*T^30 - 58/49*T^29 + 58/49*T^28 - 19/49*T^27 + 4/49*T^26
        - 62/49*T^25 + 85/49*T^24 - 4/7*T^23 - 4/49*T^22 + 24/49*T^21 - 111/49*T^20 
        + 152/49*T^19 - 89/49*T^18 + 76/49*T^17 - 15/7*T^16 + 76/49*T^15 - 
        89/49*T^14 + 152/49*T^13 - 111/49*T^12 + 24/49*T^11 - 4/49*T^10 - 4/7*T^9 + 
        85/49*T^8 - 62/49*T^7 + 4/49*T^6 - 19/49*T^5 + 58/49*T^4 - 58/49*T^3 + 
        81/49*T^2 - 15/7*T + 1
*], [*
    X^3 + X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 3*X*Y 
        + 6*X + 5*Y^18 + 4*Y^17 + 2*Y^16 + 5*Y^15 + 2*Y^14 + 5*Y^13 + 5*Y^12 + 
        2*Y^10 + 5*Y^9 + 5*Y^8 + Y^7 + 2*Y^6 + 5*Y^5 + 2*Y^4 + 6*Y^3 + 4*Y^2 + 5*Y +
        2,
    -T^32 + 114/49*T^30 - 19/49*T^29 - 81/49*T^28 + 1/49*T^27 - 31/49*T^26 + 
        107/49*T^25 + 51/49*T^24 - 160/49*T^23 + 15/49*T^22 + 50/49*T^21 + 1/49*T^20
        + 57/49*T^19 - 50/49*T^18 - 40/49*T^17 + 40/49*T^15 + 50/49*T^14 - 
        57/49*T^13 - 1/49*T^12 - 50/49*T^11 - 15/49*T^10 + 160/49*T^9 - 51/49*T^8 - 
        107/49*T^7 + 31/49*T^6 - 1/49*T^5 + 81/49*T^4 + 19/49*T^3 - 114/49*T^2 + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 
        4*X*Y^2 + 6*X*Y + 3*X + 4*Y^18 + Y^17 + 4*Y^16 + 4*Y^14 + 4*Y^12 + 4*Y^11 + 
        3*Y^10 + 3*Y^9 + 3*Y^8 + 4*Y^6 + 4*Y^5 + Y^4 + 5*Y^3 + 4*Y^2 + 3*Y + 3,
    T^32 + 4/7*T^31 + 4/49*T^30 + 2/49*T^29 - 6/7*T^28 - 16/49*T^27 - 43/49*T^26 + 
        6/49*T^25 + 36/49*T^24 + 20/49*T^23 + 5/7*T^22 - 22/49*T^21 + 5/49*T^20 - 
        29/49*T^19 - 18/49*T^18 + 47/49*T^17 + 20/49*T^16 + 47/49*T^15 - 18/49*T^14 
        - 29/49*T^13 + 5/49*T^12 - 22/49*T^11 + 5/7*T^10 + 20/49*T^9 + 36/49*T^8 + 
        6/49*T^7 - 43/49*T^6 - 16/49*T^5 - 6/7*T^4 + 2/49*T^3 + 4/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + X*Y^3 + 4*X*Y^2 + 2*X + 
        3*Y^18 + 4*Y^17 + Y^16 + 2*Y^14 + 3*Y^13 + 2*Y^12 + 2*Y^11 + 2*Y^9 + 5*Y^8 +
        2*Y^7 + 2*Y^5 + 4*Y^4 + 4*Y^3 + 2*Y^2 + 5*Y + 1,
    -T^32 - 1/7*T^31 + 54/49*T^30 + 18/49*T^29 - 19/49*T^28 + 5/49*T^27 - 37/49*T^26
        - 45/49*T^25 + 64/49*T^24 + 87/49*T^23 - 39/49*T^22 - 54/49*T^21 - 
        15/49*T^20 - 24/49*T^19 + 4/7*T^18 + 85/49*T^17 - 85/49*T^15 - 4/7*T^14 + 
        24/49*T^13 + 15/49*T^12 + 54/49*T^11 + 39/49*T^10 - 87/49*T^9 - 64/49*T^8 + 
        45/49*T^7 + 37/49*T^6 - 5/49*T^5 + 19/49*T^4 - 18/49*T^3 - 54/49*T^2 + 1/7*T
        + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^7 + X*Y^6 + X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 3*X*Y + 6*X + 
        2*Y^18 + Y^16 + 6*Y^15 + 5*Y^14 + 2*Y^13 + Y^12 + 5*Y^11 + Y^10 + 6*Y^9 + 
        2*Y^8 + 6*Y^7 + 6*Y^6 + 5*Y^5 + 2*Y^4 + 3*Y^3 + Y^2 + 3*Y,
    -T^32 + 2*T^31 - 6/49*T^30 - 146/49*T^29 + 113/49*T^28 + 2*T^27 - 153/49*T^26 - 
        29/49*T^25 + 113/49*T^24 + 16/49*T^23 - 82/49*T^22 - 34/49*T^21 + 92/49*T^20
        + 15/49*T^19 - 15/7*T^18 + 80/49*T^17 - 80/49*T^15 + 15/7*T^14 - 15/49*T^13 
        - 92/49*T^12 + 34/49*T^11 + 82/49*T^10 - 16/49*T^9 - 113/49*T^8 + 29/49*T^7 
        + 153/49*T^6 - 2*T^5 - 113/49*T^4 + 146/49*T^3 + 6/49*T^2 - 2*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + X + 4*Y^18 + 2*Y^17 + 5*Y^16 + Y^15 + 4*Y^14 + 3*Y^13 + 4*Y^12 + 
        2*Y^9 + 3*Y^8 + 2*Y^7 + Y^4 + 3*Y^3 + 3*Y^2 + 4*Y + 4,
    -T^32 - 9/7*T^31 + 54/49*T^29 + 9/49*T^28 - 26/49*T^27 + 10/49*T^26 + 41/49*T^25
        + 20/49*T^24 - 4/7*T^23 - 15/49*T^22 - 16/49*T^21 - 20/49*T^20 - 17/49*T^19 
        + 5/49*T^18 - 9/49*T^17 + 9/49*T^15 - 5/49*T^14 + 17/49*T^13 + 20/49*T^12 + 
        16/49*T^11 + 15/49*T^10 + 4/7*T^9 - 20/49*T^8 - 41/49*T^7 - 10/49*T^6 + 
        26/49*T^5 - 9/49*T^4 - 54/49*T^3 + 9/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 3*X*Y^6 + X*Y^5 + 3*X*Y^4 + X*Y^3 + 5*X*Y^2 + 6*X*Y + 
        2*Y^18 + 4*Y^17 + 2*Y^16 + 4*Y^15 + Y^14 + 5*Y^13 + 3*Y^12 + 3*Y^11 + 5*Y^9 
        + 5*Y^8 + 4*Y^7 + 5*Y^6 + 2*Y^5 + 6*Y^4 + 3*Y^3 + 4*Y^2 + 3*Y + 5,
    T^32 + 4/7*T^31 - 18/49*T^30 - 5/7*T^29 - 17/49*T^28 + 33/49*T^27 - 59/49*T^25 -
        53/49*T^24 + 19/49*T^23 + 25/49*T^22 - 1/49*T^21 - 33/49*T^20 - 1/49*T^19 + 
        41/49*T^18 + 16/49*T^17 + 13/49*T^16 + 16/49*T^15 + 41/49*T^14 - 1/49*T^13 -
        33/49*T^12 - 1/49*T^11 + 25/49*T^10 + 19/49*T^9 - 53/49*T^8 - 59/49*T^7 + 
        33/49*T^5 - 17/49*T^4 - 5/7*T^3 - 18/49*T^2 + 4/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 2*X*Y^7 + 2*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + 6*X*Y + 
        4*X + 2*Y^18 + Y^17 + 3*Y^16 + 4*Y^15 + 2*Y^14 + 4*Y^13 + 6*Y^11 + 3*Y^10 + 
        2*Y^9 + 2*Y^8 + 6*Y^7 + 2*Y^5 + 6*Y^4 + 3*Y^3 + 3*Y^2 + 3*Y + 6,
    T^32 - T^31 - 2/49*T^30 + 12/49*T^29 - 41/49*T^28 + 30/49*T^27 - 20/49*T^26 + 
        4/7*T^25 - 8/49*T^24 + 1/7*T^23 + 34/49*T^22 - 48/49*T^21 + 29/49*T^20 - 
        30/49*T^19 - 5/49*T^18 + 34/49*T^17 - 40/49*T^16 + 34/49*T^15 - 5/49*T^14 - 
        30/49*T^13 + 29/49*T^12 - 48/49*T^11 + 34/49*T^10 + 1/7*T^9 - 8/49*T^8 + 
        4/7*T^7 - 20/49*T^6 + 30/49*T^5 - 41/49*T^4 + 12/49*T^3 - 2/49*T^2 - T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + X*Y^7 + 4*X*Y^6 + X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 3*X*Y^2 
        + 5*X*Y + 6*X + 3*Y^18 + 6*Y^16 + 3*Y^15 + 6*Y^14 + 2*Y^13 + 6*Y^12 + Y^11 +
        2*Y^10 + 5*Y^9 + Y^8 + 4*Y^7 + 6*Y^5 + Y^4 + 6*Y^3 + 4*Y^2 + 4*Y + 1,
    -T^32 + 18/7*T^31 - 165/49*T^30 + 117/49*T^29 - 31/49*T^28 - 8/49*T^27 + 
        34/49*T^26 - 64/49*T^25 + 12/7*T^24 - 96/49*T^23 + 125/49*T^22 - 171/49*T^21
        + 153/49*T^20 - 73/49*T^19 + 5/49*T^18 + 2/7*T^17 - 2/7*T^15 - 5/49*T^14 + 
        73/49*T^13 - 153/49*T^12 + 171/49*T^11 - 125/49*T^10 + 96/49*T^9 - 12/7*T^8 
        + 64/49*T^7 - 34/49*T^6 + 8/49*T^5 + 31/49*T^4 - 117/49*T^3 + 165/49*T^2 - 
        18/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + X*Y^4 + 3*X*Y^3 + 2*X*Y^2 
        + 6*X*Y + 3*X + 6*Y^18 + 6*Y^16 + 2*Y^15 + 5*Y^14 + 5*Y^13 + 4*Y^12 + 3*Y^11
        + 6*Y^10 + 6*Y^9 + 5*Y^8 + 5*Y^5 + 2*Y^4 + 6*Y^3 + 5*Y^2 + 3*Y + 5,
    -T^32 - 2/7*T^31 + 92/49*T^30 + 19/49*T^29 - 107/49*T^28 + 9/49*T^27 + 
        131/49*T^26 - 19/49*T^25 - 136/49*T^24 - 1/49*T^23 + 15/7*T^22 + 13/49*T^21 
        - 8/7*T^20 - 24/49*T^19 + 38/49*T^18 + 57/49*T^17 - 57/49*T^15 - 38/49*T^14 
        + 24/49*T^13 + 8/7*T^12 - 13/49*T^11 - 15/7*T^10 + 1/49*T^9 + 136/49*T^8 + 
        19/49*T^7 - 131/49*T^6 - 9/49*T^5 + 107/49*T^4 - 19/49*T^3 - 92/49*T^2 + 
        2/7*T + 1
*], [*
    X^3 + X*Y^8 + 6*X*Y^7 + X*Y^5 + 2*X*Y^2 + 4*X*Y + 6*X + Y^18 + 3*Y^17 + 5*Y^16 +
        2*Y^15 + 3*Y^14 + 3*Y^13 + 4*Y^12 + 3*Y^11 + 3*Y^10 + 4*Y^8 + 2*Y^7 + 4*Y^6 
        + 4*Y^5 + 6*Y^3 + 2*Y^2 + 4*Y + 4,
    T^32 - 10/7*T^31 + 36/49*T^30 + 11/49*T^29 - 53/49*T^28 + 55/49*T^27 - 3/7*T^26 
        - 73/49*T^25 + 129/49*T^24 - 103/49*T^23 + 31/49*T^22 + 68/49*T^21 - 
        95/49*T^20 + 73/49*T^19 + 1/49*T^18 - 115/49*T^17 + 163/49*T^16 - 
        115/49*T^15 + 1/49*T^14 + 73/49*T^13 - 95/49*T^12 + 68/49*T^11 + 31/49*T^10 
        - 103/49*T^9 + 129/49*T^8 - 73/49*T^7 - 3/7*T^6 + 55/49*T^5 - 53/49*T^4 + 
        11/49*T^3 + 36/49*T^2 - 10/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 5*X*Y^3 + 
        4*X*Y^2 + 3*X*Y + 5*X + 4*Y^18 + 3*Y^17 + 3*Y^16 + 3*Y^14 + 4*Y^13 + 4*Y^12 
        + 6*Y^11 + 3*Y^9 + 2*Y^8 + 3*Y^5 + 5*Y^3 + 5*Y^2 + 6*Y + 3,
    T^32 + 2/7*T^31 - 38/49*T^30 - 55/49*T^29 + 32/49*T^28 + 41/49*T^27 - 6/7*T^26 -
        38/49*T^25 + 46/49*T^24 + 54/49*T^23 - 29/49*T^22 - 34/49*T^21 + 27/49*T^20 
        + 10/49*T^19 - 47/49*T^18 + 8/49*T^17 + 53/49*T^16 + 8/49*T^15 - 47/49*T^14 
        + 10/49*T^13 + 27/49*T^12 - 34/49*T^11 - 29/49*T^10 + 54/49*T^9 + 46/49*T^8 
        - 38/49*T^7 - 6/7*T^6 + 41/49*T^5 + 32/49*T^4 - 55/49*T^3 - 38/49*T^2 + 
        2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 4*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 
        2*X*Y + 2*X + 5*Y^18 + Y^17 + 3*Y^16 + 4*Y^14 + Y^13 + 4*Y^12 + 3*Y^10 + 
        5*Y^9 + 3*Y^8 + 4*Y^7 + 3*Y^5 + Y^4 + Y^2 + 4*Y,
    T^32 + 2/7*T^31 - 69/49*T^30 - 24/49*T^29 + 8/7*T^28 + 52/49*T^27 - 18/49*T^26 -
        78/49*T^25 - 61/49*T^24 + 22/49*T^23 + 11/7*T^22 + 1/49*T^21 - 45/49*T^20 - 
        34/49*T^19 + 6/49*T^18 + 37/49*T^17 + 39/49*T^16 + 37/49*T^15 + 6/49*T^14 - 
        34/49*T^13 - 45/49*T^12 + 1/49*T^11 + 11/7*T^10 + 22/49*T^9 - 61/49*T^8 - 
        78/49*T^7 - 18/49*T^6 + 52/49*T^5 + 8/7*T^4 - 24/49*T^3 - 69/49*T^2 + 2/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 5*X*Y^3 + 6*X*Y^2 + 
        4*X*Y + X + Y^18 + Y^17 + Y^16 + 2*Y^15 + 3*Y^14 + 3*Y^13 + Y^10 + 2*Y^9 + 
        5*Y^8 + Y^7 + Y^6 + 3*Y^5 + 6*Y^4 + 6*Y^3 + 2*Y^2 + 6*Y + 6,
    -T^32 + 10/7*T^31 - 10/49*T^30 - T^29 + 87/49*T^28 - 86/49*T^27 + 19/49*T^26 + 
        80/49*T^25 - 13/7*T^24 + 9/49*T^23 + 58/49*T^22 - 87/49*T^21 + 47/49*T^20 + 
        78/49*T^19 - 3*T^18 + 100/49*T^17 - 100/49*T^15 + 3*T^14 - 78/49*T^13 - 
        47/49*T^12 + 87/49*T^11 - 58/49*T^10 - 9/49*T^9 + 13/7*T^8 - 80/49*T^7 - 
        19/49*T^6 + 86/49*T^5 - 87/49*T^4 + T^3 + 10/49*T^2 - 10/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 4*X*Y^6 + X*Y^4 + 4*X*Y^3 + X*Y^2 + X*Y + 5*X + 2*Y^18 +
        3*Y^17 + 2*Y^15 + 2*Y^14 + 5*Y^13 + Y^12 + Y^11 + 5*Y^10 + Y^9 + 5*Y^8 + 
        5*Y^7 + 6*Y^6 + 3*Y^5 + 3*Y^4 + Y^3 + Y^2 + 6,
    T^32 + T^31 - 25/49*T^30 - 53/49*T^29 - 68/49*T^28 - 45/49*T^27 + 11/7*T^26 + 
        76/49*T^25 + 6/49*T^24 - 13/49*T^23 - 81/49*T^22 - 26/49*T^21 + 67/49*T^20 +
        20/49*T^19 + 3/7*T^18 - 1/7*T^17 - 90/49*T^16 - 1/7*T^15 + 3/7*T^14 + 
        20/49*T^13 + 67/49*T^12 - 26/49*T^11 - 81/49*T^10 - 13/49*T^9 + 6/49*T^8 + 
        76/49*T^7 + 11/7*T^6 - 45/49*T^5 - 68/49*T^4 - 53/49*T^3 - 25/49*T^2 + T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 3*X*Y^7 + X*Y^6 + X*Y^5 + 3*X*Y^4 + X*Y^3 + X*Y^2 + X*Y 
        + 3*X + 5*Y^18 + 6*Y^17 + Y^15 + 2*Y^14 + 5*Y^13 + 6*Y^12 + 5*Y^11 + 2*Y^10 
        + 3*Y^9 + 4*Y^8 + 4*Y^7 + 4*Y^6 + 6*Y^5 + 3*Y^4 + 6*Y^3 + 5*Y^2 + Y,
    T^32 + 5/7*T^31 + 44/49*T^30 + 57/49*T^29 + 12/49*T^28 + 23/49*T^27 - 4/49*T^26 
        - 25/49*T^25 - 12/49*T^24 - 15/49*T^23 - 32/49*T^22 - 19/49*T^21 - 8/49*T^20
        - 37/49*T^19 - 25/49*T^18 - 10/49*T^17 - 30/49*T^16 - 10/49*T^15 - 
        25/49*T^14 - 37/49*T^13 - 8/49*T^12 - 19/49*T^11 - 32/49*T^10 - 15/49*T^9 - 
        12/49*T^8 - 25/49*T^7 - 4/49*T^6 + 23/49*T^5 + 12/49*T^4 + 57/49*T^3 + 
        44/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 
        3*X*Y^2 + 3*X*Y + 2*X + Y^18 + 5*Y^16 + Y^15 + 3*Y^10 + 5*Y^7 + Y^6 + Y^5 + 
        6*Y^4 + 4*Y^2 + 2*Y + 4,
    T^32 - 17/7*T^31 + 13/7*T^30 + 24/49*T^29 - 93/49*T^28 + 83/49*T^27 - 82/49*T^26
        + 129/49*T^25 - 108/49*T^24 - 33/49*T^23 + 3*T^22 - 143/49*T^21 + 81/49*T^20
        - 4/7*T^19 - 15/49*T^18 + 67/49*T^17 - 99/49*T^16 + 67/49*T^15 - 15/49*T^14 
        - 4/7*T^13 + 81/49*T^12 - 143/49*T^11 + 3*T^10 - 33/49*T^9 - 108/49*T^8 + 
        129/49*T^7 - 82/49*T^6 + 83/49*T^5 - 93/49*T^4 + 24/49*T^3 + 13/7*T^2 - 
        17/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + X*Y + 5*Y^18 + 3*Y^17 + 3*Y^16 + 3*Y^15 + 5*Y^14 + 3*Y^13 + 3*Y^12 +
        5*Y^11 + Y^9 + 4*Y^8 + 6*Y^7 + 6*Y^6 + Y^3 + 5*Y^2 + 5*Y + 1,
    -T^32 - 1/7*T^31 + 13/49*T^30 + 6/7*T^29 + 10/49*T^28 + 4/49*T^27 + 4/49*T^26 - 
        13/49*T^25 - 20/49*T^24 - 12/49*T^23 + 2/49*T^22 + 29/49*T^21 + 3/7*T^20 - 
        13/49*T^19 + 2/49*T^18 + 16/49*T^17 - 16/49*T^15 - 2/49*T^14 + 13/49*T^13 - 
        3/7*T^12 - 29/49*T^11 - 2/49*T^10 + 12/49*T^9 + 20/49*T^8 + 13/49*T^7 - 
        4/49*T^6 - 4/49*T^5 - 10/49*T^4 - 6/7*T^3 - 13/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 2*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 6*X*Y + 6*Y^18
        + Y^17 + Y^16 + 4*Y^15 + Y^14 + 6*Y^13 + 2*Y^12 + Y^11 + 4*Y^10 + Y^9 + 
        3*Y^8 + Y^7 + 5*Y^6 + 5*Y^5 + Y^3 + 6*Y^2 + 6*Y + 1,
    T^32 + T^31 + 65/49*T^30 + 54/49*T^29 + 12/49*T^28 + 29/49*T^27 - 12/49*T^26 - 
        11/49*T^25 - 53/49*T^24 - 60/49*T^23 - 59/49*T^22 - 6/7*T^21 - 24/49*T^20 - 
        26/49*T^19 + 6/49*T^18 + 1/7*T^17 + 33/49*T^16 + 1/7*T^15 + 6/49*T^14 - 
        26/49*T^13 - 24/49*T^12 - 6/7*T^11 - 59/49*T^10 - 60/49*T^9 - 53/49*T^8 - 
        11/49*T^7 - 12/49*T^6 + 29/49*T^5 + 12/49*T^4 + 54/49*T^3 + 65/49*T^2 + T + 
        1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + X*Y^6 + 4*X*Y^4 + 2*X*Y^3 + 6*X*Y + 6*X + 5*Y^18 + 
        3*Y^17 + 4*Y^16 + 5*Y^15 + 3*Y^14 + 5*Y^13 + 5*Y^12 + 5*Y^9 + 4*Y^7 + 5*Y^6 
        + 5*Y^5 + 5*Y^4 + 4*Y^3 + 4*Y^2 + 6*Y + 3,
    T^32 - 2/7*T^31 - 8/7*T^30 + 59/49*T^29 + 62/49*T^28 - 10/7*T^27 - 34/49*T^26 + 
        79/49*T^25 + 10/49*T^24 - T^23 - 1/7*T^22 + 34/49*T^21 + 23/49*T^20 - 
        47/49*T^18 - 4/49*T^17 + 74/49*T^16 - 4/49*T^15 - 47/49*T^14 + 23/49*T^12 + 
        34/49*T^11 - 1/7*T^10 - T^9 + 10/49*T^8 + 79/49*T^7 - 34/49*T^6 - 10/7*T^5 +
        62/49*T^4 + 59/49*T^3 - 8/7*T^2 - 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 4*X*Y^4 + 5*X*Y^2 + 6*X*Y + X + 
        2*Y^18 + 5*Y^17 + 6*Y^16 + 6*Y^15 + 2*Y^14 + Y^13 + 5*Y^12 + Y^11 + 6*Y^9 + 
        4*Y^8 + 6*Y^7 + 3*Y^6 + 2*Y^5 + 3*Y^4 + 3*Y^3 + 3*Y^2 + 3*Y + 1,
    -T^32 - 18/7*T^31 - 117/49*T^30 - 48/49*T^29 + 10/49*T^28 + 72/49*T^27 + 
        110/49*T^26 + 95/49*T^25 + 61/49*T^24 + 37/49*T^23 + 19/49*T^22 - 8/49*T^21 
        - 5/7*T^20 - 53/49*T^19 - 71/49*T^18 - 59/49*T^17 + 59/49*T^15 + 71/49*T^14 
        + 53/49*T^13 + 5/7*T^12 + 8/49*T^11 - 19/49*T^10 - 37/49*T^9 - 61/49*T^8 - 
        95/49*T^7 - 110/49*T^6 - 72/49*T^5 - 10/49*T^4 + 48/49*T^3 + 117/49*T^2 + 
        18/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 3*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 
        3*X*Y + X + 3*Y^18 + 5*Y^17 + Y^16 + 3*Y^15 + 5*Y^14 + 4*Y^13 + 5*Y^12 + 
        Y^11 + 6*Y^10 + 2*Y^9 + 4*Y^7 + Y^6 + 6*Y^5 + 6*Y^3 + 2*Y^2 + 2*Y + 4,
    -T^32 + 18/7*T^31 - 186/49*T^30 + 225/49*T^29 - 32/7*T^28 + 162/49*T^27 - 
        85/49*T^26 + 3/7*T^25 + 41/49*T^24 - 13/7*T^23 + 123/49*T^22 - 156/49*T^21 +
        191/49*T^20 - 31/7*T^19 + 195/49*T^18 - 114/49*T^17 + 114/49*T^15 - 
        195/49*T^14 + 31/7*T^13 - 191/49*T^12 + 156/49*T^11 - 123/49*T^10 + 13/7*T^9
        - 41/49*T^8 - 3/7*T^7 + 85/49*T^6 - 162/49*T^5 + 32/7*T^4 - 225/49*T^3 + 
        186/49*T^2 - 18/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + X*Y^5 + 4*X*Y^4 + X*Y^3 + 4*X*Y + 
        5*Y^18 + 2*Y^17 + Y^16 + 6*Y^15 + Y^14 + Y^13 + 3*Y^11 + 4*Y^10 + 4*Y^9 + 
        2*Y^8 + Y^6 + 2*Y^5 + 2*Y^4 + 2*Y^3 + Y^2 + Y + 2,
    T^32 + 4/7*T^31 + 3/49*T^30 - 29/49*T^29 - 40/49*T^28 + 8/49*T^27 - 11/49*T^26 -
        22/49*T^25 - 4/7*T^24 - 16/49*T^23 + 29/49*T^22 + 33/49*T^21 + 17/49*T^20 - 
        15/49*T^19 - 27/49*T^18 + 13/49*T^17 + 17/49*T^16 + 13/49*T^15 - 27/49*T^14 
        - 15/49*T^13 + 17/49*T^12 + 33/49*T^11 + 29/49*T^10 - 16/49*T^9 - 4/7*T^8 - 
        22/49*T^7 - 11/49*T^6 + 8/49*T^5 - 40/49*T^4 - 29/49*T^3 + 3/49*T^2 + 4/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 5*X*Y^2 + 6*X 
        + 3*Y^18 + 6*Y^17 + 3*Y^16 + 3*Y^15 + 4*Y^14 + 4*Y^13 + 4*Y^12 + 2*Y^11 + 
        Y^10 + Y^8 + Y^7 + 3*Y^6 + 4*Y^5 + 5*Y^4 + 2*Y^3 + 5*Y^2 + 2*Y + 6,
    -T^32 + 15/49*T^30 + 9/49*T^29 + 15/49*T^28 + 11/49*T^27 + 15/49*T^26 - 
        10/49*T^25 - 3/49*T^24 - 2/49*T^23 + 8/49*T^22 - 25/49*T^21 + 3/49*T^20 + 
        8/49*T^19 + 24/49*T^18 - 2/49*T^17 + 2/49*T^15 - 24/49*T^14 - 8/49*T^13 - 
        3/49*T^12 + 25/49*T^11 - 8/49*T^10 + 2/49*T^9 + 3/49*T^8 + 10/49*T^7 - 
        15/49*T^6 - 11/49*T^5 - 15/49*T^4 - 9/49*T^3 - 15/49*T^2 + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + X*Y^7 + 4*X*Y^6 + 4*X*Y^4 + X*Y^3 + 5*X*Y^2 + 5*X*Y + 
        6*X + Y^18 + 3*Y^17 + 6*Y^16 + Y^14 + Y^13 + 4*Y^12 + 4*Y^11 + Y^10 + Y^9 + 
        3*Y^8 + 4*Y^7 + 2*Y^6 + 6*Y^5 + 4*Y^4 + 5*Y^2 + Y + 1,
    T^32 - 11/7*T^31 + 60/49*T^30 - 26/49*T^29 + 4/49*T^28 + 6/7*T^27 - 86/49*T^26 +
        76/49*T^25 - 5/7*T^24 - 23/49*T^23 + 71/49*T^22 - 99/49*T^21 + 85/49*T^20 - 
        32/49*T^19 - 9/7*T^18 + 139/49*T^17 - 166/49*T^16 + 139/49*T^15 - 9/7*T^14 -
        32/49*T^13 + 85/49*T^12 - 99/49*T^11 + 71/49*T^10 - 23/49*T^9 - 5/7*T^8 + 
        76/49*T^7 - 86/49*T^6 + 6/7*T^5 + 4/49*T^4 - 26/49*T^3 + 60/49*T^2 - 11/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 4*X*Y^4 + 3*X*Y^3 + X*Y^2 + 5*X*Y 
        + 4*X + 2*Y^18 + 2*Y^16 + 6*Y^15 + 3*Y^14 + 6*Y^13 + 3*Y^11 + 6*Y^10 + 4*Y^9
        + 2*Y^8 + 3*Y^7 + 6*Y^6 + 6*Y^5 + Y^4 + Y^3 + 2*Y^2 + 3*Y + 3,
    -T^32 - 3/7*T^31 + 9/49*T^30 - 3/7*T^29 - 16/49*T^28 + 12/49*T^27 + 9/49*T^26 - 
        38/49*T^25 - 3/49*T^24 + 2/49*T^23 - 4/7*T^22 - 10/49*T^21 + 10/49*T^20 - 
        24/49*T^19 - 26/49*T^18 + 20/49*T^17 - 20/49*T^15 + 26/49*T^14 + 24/49*T^13 
        - 10/49*T^12 + 10/49*T^11 + 4/7*T^10 - 2/49*T^9 + 3/49*T^8 + 38/49*T^7 - 
        9/49*T^6 - 12/49*T^5 + 16/49*T^4 + 3/7*T^3 - 9/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 3*X*Y^2 + X*Y + 3*X + 
        6*Y^18 + 5*Y^17 + Y^16 + 2*Y^15 + 3*Y^14 + 5*Y^13 + 5*Y^12 + 6*Y^11 + 4*Y^9 
        + 6*Y^8 + 4*Y^7 + 6*Y^6 + 6*Y^5 + 2*Y^4 + 5*Y^3 + 2*Y^2 + 5*Y + 3,
    T^32 + 2/7*T^31 - 3/7*T^30 - 16/49*T^29 - 4/7*T^28 - 25/49*T^27 + 2/7*T^26 + 
        17/49*T^25 + 3/49*T^24 + 1/7*T^23 + 1/49*T^22 + 4/49*T^21 + 3/49*T^20 - 
        17/49*T^19 + 2/49*T^18 + 9/49*T^17 + 4/49*T^16 + 9/49*T^15 + 2/49*T^14 - 
        17/49*T^13 + 3/49*T^12 + 4/49*T^11 + 1/49*T^10 + 1/7*T^9 + 3/49*T^8 + 
        17/49*T^7 + 2/7*T^6 - 25/49*T^5 - 4/7*T^4 - 16/49*T^3 - 3/7*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^7 + 5*X*Y^6 + X*Y^5 + 2*X*Y^4 + X*Y^3 + 5*X*Y^2 + 5*X*Y + 4*Y^18 + 
        Y^17 + 5*Y^16 + 4*Y^15 + 6*Y^14 + 5*Y^13 + Y^12 + 4*Y^11 + 5*Y^10 + 3*Y^9 + 
        Y^7 + Y^5 + 3*Y^4 + 2*Y^3 + 4*Y^2 + 4*Y + 5,
    T^32 + 11/7*T^31 + 11/49*T^30 - 54/49*T^29 + 18/49*T^28 + 108/49*T^27 + 
        44/49*T^26 - 69/49*T^25 - 45/49*T^24 + 5/7*T^23 + 3/49*T^22 - 52/49*T^21 - 
        18/49*T^20 + 30/49*T^19 + 10/49*T^18 - 12/49*T^17 - 2/7*T^16 - 12/49*T^15 + 
        10/49*T^14 + 30/49*T^13 - 18/49*T^12 - 52/49*T^11 + 3/49*T^10 + 5/7*T^9 - 
        45/49*T^8 - 69/49*T^7 + 44/49*T^6 + 108/49*T^5 + 18/49*T^4 - 54/49*T^3 + 
        11/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 2*X*Y 
        + 3*X + 2*Y^18 + 6*Y^17 + 5*Y^16 + 6*Y^15 + Y^14 + 3*Y^13 + Y^12 + Y^11 + 
        6*Y^10 + 6*Y^9 + 5*Y^8 + 6*Y^6 + 3*Y^5 + 2*Y^4 + Y^3 + 6*Y^2 + 5*Y + 6,
    T^32 + 15/49*T^30 + 36/49*T^29 + 27/49*T^28 - 2/7*T^27 + 23/49*T^26 + 36/49*T^25
        - 27/49*T^24 + 6/49*T^23 + 4/49*T^22 - 2/7*T^21 - 36/49*T^20 + 6/49*T^19 - 
        18/49*T^18 - 3/7*T^17 - 3/7*T^15 - 18/49*T^14 + 6/49*T^13 - 36/49*T^12 - 
        2/7*T^11 + 4/49*T^10 + 6/49*T^9 - 27/49*T^8 + 36/49*T^7 + 23/49*T^6 - 
        2/7*T^5 + 27/49*T^4 + 36/49*T^3 + 15/49*T^2 + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        6*X*Y^2 + 2*X*Y + 6*Y^18 + 3*Y^17 + 3*Y^16 + Y^14 + 4*Y^13 + Y^12 + Y^9 + 
        Y^8 + 2*Y^7 + 3*Y^6 + 2*Y^5 + 4*Y^4 + 5*Y^3 + 6*Y^2 + 6*Y + 2,
    -T^32 - 2/7*T^31 + 45/49*T^30 - 48/49*T^29 - 29/49*T^28 + 44/49*T^27 - 
        43/49*T^26 - 32/49*T^25 + 46/49*T^24 - 10/49*T^23 - 40/49*T^22 + 10/49*T^21 
        + 1/49*T^20 - 5/7*T^19 - 2/49*T^18 + 15/49*T^17 - 15/49*T^15 + 2/49*T^14 + 
        5/7*T^13 - 1/49*T^12 - 10/49*T^11 + 40/49*T^10 + 10/49*T^9 - 46/49*T^8 + 
        32/49*T^7 + 43/49*T^6 - 44/49*T^5 + 29/49*T^4 + 48/49*T^3 - 45/49*T^2 + 
        2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + X*Y^7 + 6*X*Y^6 + X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + 5*X*Y + 
        6*X + 5*Y^18 + 3*Y^17 + 5*Y^15 + 2*Y^14 + 5*Y^13 + 5*Y^12 + 5*Y^11 + 5*Y^10 
        + 6*Y^8 + 5*Y^7 + 5*Y^6 + 6*Y^5 + Y^4 + 5*Y^3 + 2*Y^2,
    T^32 + 5/7*T^31 + 11/49*T^30 - 9/49*T^29 - 12/49*T^28 - 18/49*T^27 - 43/49*T^26 
        - 5/49*T^25 + 10/49*T^24 + 30/49*T^23 + 2/49*T^22 - 9/49*T^21 - 27/49*T^20 -
        22/49*T^19 + 12/49*T^18 + 13/49*T^17 + 30/49*T^16 + 13/49*T^15 + 12/49*T^14 
        - 22/49*T^13 - 27/49*T^12 - 9/49*T^11 + 2/49*T^10 + 30/49*T^9 + 10/49*T^8 - 
        5/49*T^7 - 43/49*T^6 - 18/49*T^5 - 12/49*T^4 - 9/49*T^3 + 11/49*T^2 + 5/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 
        4*X*Y^2 + 4*X + 6*Y^18 + 5*Y^17 + 5*Y^16 + 4*Y^15 + 2*Y^14 + 2*Y^13 + 4*Y^12
        + 2*Y^11 + 3*Y^10 + 4*Y^9 + 5*Y^8 + 6*Y^7 + 6*Y^6 + Y^5 + 2*Y^4 + 5*Y^3 + Y 
        + 6,
    -T^32 + 9/7*T^31 - 37/49*T^30 - 4/49*T^29 + T^28 - 74/49*T^27 + 92/49*T^26 - 
        30/49*T^25 - 38/49*T^24 + 60/49*T^23 - 57/49*T^22 + 30/49*T^21 + 8/49*T^20 -
        76/49*T^19 + 10/7*T^18 - 27/49*T^17 + 27/49*T^15 - 10/7*T^14 + 76/49*T^13 - 
        8/49*T^12 - 30/49*T^11 + 57/49*T^10 - 60/49*T^9 + 38/49*T^8 + 30/49*T^7 - 
        92/49*T^6 + 74/49*T^5 - T^4 + 4/49*T^3 + 37/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 2*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 3*X + Y^18 + 
        6*Y^17 + 3*Y^16 + 2*Y^15 + 5*Y^14 + 3*Y^13 + 3*Y^12 + 3*Y^11 + 4*Y^10 + 
        5*Y^8 + 6*Y^7 + Y^6 + 2*Y^5 + 6*Y^4 + Y^3 + 3*Y^2 + 2*Y,
    T^32 + 2/7*T^31 - 13/49*T^30 + 16/49*T^29 + 16/49*T^28 - 16/49*T^27 + 4/49*T^26 
        + 12/49*T^25 - 3/7*T^24 - 4/7*T^23 - 4/7*T^22 - 23/49*T^21 + 1/7*T^20 + 
        26/49*T^19 + 9/49*T^17 + 1/49*T^16 + 9/49*T^15 + 26/49*T^13 + 1/7*T^12 - 
        23/49*T^11 - 4/7*T^10 - 4/7*T^9 - 3/7*T^8 + 12/49*T^7 + 4/49*T^6 - 16/49*T^5
        + 16/49*T^4 + 16/49*T^3 - 13/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 5*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 6*X*Y^2 + 2*X*Y + 6*X + 3*Y^18 + 
        Y^17 + Y^16 + 3*Y^15 + 4*Y^13 + Y^12 + 6*Y^10 + Y^9 + 4*Y^8 + 6*Y^6 + 5*Y^5 
        + Y^4 + Y^3 + Y^2 + 6*Y,
    -T^32 + 2*T^31 - 11/7*T^30 + 1/7*T^29 + 64/49*T^28 - 72/49*T^27 + 11/49*T^26 + 
        29/49*T^25 - 26/49*T^24 - 25/49*T^23 + 106/49*T^22 - 115/49*T^21 + 
        61/49*T^20 + 3/7*T^19 - 67/49*T^18 + 36/49*T^17 - 36/49*T^15 + 67/49*T^14 - 
        3/7*T^13 - 61/49*T^12 + 115/49*T^11 - 106/49*T^10 + 25/49*T^9 + 26/49*T^8 - 
        29/49*T^7 - 11/49*T^6 + 72/49*T^5 - 64/49*T^4 - 1/7*T^3 + 11/7*T^2 - 2*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 4*X*Y^5 + 2*X*Y^4 + X*Y^3 + 3*X*Y^2 + 2*X*Y + 2*X + 
        Y^18 + 3*Y^17 + 2*Y^16 + 4*Y^13 + 4*Y^12 + 3*Y^11 + Y^9 + 6*Y^8 + 3*Y^7 + 
        2*Y^6 + 5*Y^5 + 3*Y^4 + Y^2 + 3*Y + 4,
    -T^32 + 11/7*T^31 - 116/49*T^30 + 96/49*T^29 - 52/49*T^28 - 20/49*T^27 + 
        97/49*T^26 - 107/49*T^25 + 92/49*T^24 + 1/49*T^23 - 53/49*T^22 + 103/49*T^21
        - 79/49*T^20 + 44/49*T^19 + 2/49*T^18 - 10/49*T^17 + 10/49*T^15 - 2/49*T^14 
        - 44/49*T^13 + 79/49*T^12 - 103/49*T^11 + 53/49*T^10 - 1/49*T^9 - 92/49*T^8 
        + 107/49*T^7 - 97/49*T^6 + 20/49*T^5 + 52/49*T^4 - 96/49*T^3 + 116/49*T^2 - 
        11/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 6*X*Y^7 + 6*X*Y^5 + 3*X*Y^4 + 2*X*Y^2 + 6*X*Y + 4*X + 
        5*Y^18 + 2*Y^17 + 2*Y^16 + 3*Y^15 + 2*Y^14 + 2*Y^13 + 3*Y^12 + 3*Y^11 + 
        4*Y^10 + 6*Y^9 + 3*Y^7 + Y^6 + 6*Y^5 + 6*Y^4 + 4*Y^2 + 6,
    -T^32 - 2/7*T^31 - 3/49*T^30 + 5/49*T^29 + 24/49*T^28 - 20/49*T^27 + 33/49*T^26 
        + 6/49*T^25 - 6/49*T^24 + 2/7*T^23 - 4/49*T^22 + 10/49*T^21 - 2/49*T^20 + 
        2/49*T^19 + 12/49*T^18 + 6/49*T^17 - 6/49*T^15 - 12/49*T^14 - 2/49*T^13 + 
        2/49*T^12 - 10/49*T^11 + 4/49*T^10 - 2/7*T^9 + 6/49*T^8 - 6/49*T^7 - 
        33/49*T^6 + 20/49*T^5 - 24/49*T^4 - 5/49*T^3 + 3/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 5*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + 6*X*Y + 6*X + 
        6*Y^18 + Y^17 + Y^16 + 2*Y^15 + 3*Y^14 + 4*Y^13 + 3*Y^12 + 2*Y^10 + 2*Y^9 + 
        2*Y^8 + Y^7 + 6*Y^6 + 5*Y^5 + 6*Y^4 + 5*Y^3 + 3*Y^2 + 4*Y + 4,
    -T^32 + 6/7*T^31 - 17/49*T^30 + 2/7*T^29 + 2/7*T^28 - 4/49*T^27 - 54/49*T^26 + 
        46/49*T^25 - 6/49*T^24 + 8/49*T^23 + 26/49*T^22 - 6/49*T^21 - 20/49*T^20 + 
        19/49*T^19 - 5/49*T^18 + 6/49*T^17 - 6/49*T^15 + 5/49*T^14 - 19/49*T^13 + 
        20/49*T^12 + 6/49*T^11 - 26/49*T^10 - 8/49*T^9 + 6/49*T^8 - 46/49*T^7 + 
        54/49*T^6 + 4/49*T^5 - 2/7*T^4 - 2/7*T^3 + 17/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        2*X*Y^2 + 5*X*Y + 3*X + 4*Y^18 + 2*Y^17 + 6*Y^16 + Y^15 + Y^14 + 3*Y^13 + 
        4*Y^12 + 6*Y^11 + 6*Y^10 + 6*Y^9 + 4*Y^8 + 5*Y^7 + 3*Y^3 + 5*Y + 6,
    T^32 + 16/7*T^31 + 20/7*T^30 + 94/49*T^29 - 47/49*T^28 - 169/49*T^27 - 
        190/49*T^26 - 95/49*T^25 + 5/7*T^24 + 107/49*T^23 + 85/49*T^22 + 27/49*T^21 
        - 10/49*T^20 - 30/49*T^19 - 33/49*T^18 - 44/49*T^17 - 53/49*T^16 - 
        44/49*T^15 - 33/49*T^14 - 30/49*T^13 - 10/49*T^12 + 27/49*T^11 + 85/49*T^10 
        + 107/49*T^9 + 5/7*T^8 - 95/49*T^7 - 190/49*T^6 - 169/49*T^5 - 47/49*T^4 + 
        94/49*T^3 + 20/7*T^2 + 16/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 3*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 5*X*Y^2 + 2*X*Y + 3*X + 
        4*Y^18 + 3*Y^17 + Y^16 + 5*Y^15 + 2*Y^14 + 2*Y^13 + 6*Y^12 + 4*Y^11 + 6*Y^10
        + 6*Y^9 + 4*Y^7 + 5*Y^6 + 4*Y^5 + 6*Y^4 + 4*Y^3 + 5*Y,
    -T^32 - 9/7*T^31 - 51/49*T^30 - 96/49*T^29 - 104/49*T^28 - 80/49*T^27 - 
        82/49*T^26 - 92/49*T^25 - 57/49*T^24 - 45/49*T^23 - 66/49*T^22 - 31/49*T^21 
        + 20/49*T^20 + 11/49*T^19 - 9/49*T^18 + 4/7*T^17 - 4/7*T^15 + 9/49*T^14 - 
        11/49*T^13 - 20/49*T^12 + 31/49*T^11 + 66/49*T^10 + 45/49*T^9 + 57/49*T^8 + 
        92/49*T^7 + 82/49*T^6 + 80/49*T^5 + 104/49*T^4 + 96/49*T^3 + 51/49*T^2 + 
        9/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        5*X*Y^2 + X*Y + 4*X + Y^18 + 3*Y^17 + Y^16 + 4*Y^15 + 6*Y^14 + Y^13 + 6*Y^12
        + 2*Y^11 + 3*Y^10 + 3*Y^9 + 5*Y^7 + 5*Y^6 + Y^5 + 5*Y^4 + 3*Y^2 + 2*Y + 3,
    -T^32 - 2/7*T^31 + 61/49*T^30 - 46/49*T^29 - 43/49*T^28 + 60/49*T^27 + 
        10/49*T^26 - 50/49*T^25 + 6/7*T^24 + 73/49*T^23 - 13/7*T^22 - 1/49*T^21 + 
        94/49*T^20 - 83/49*T^19 - 40/49*T^18 + 88/49*T^17 - 88/49*T^15 + 40/49*T^14 
        + 83/49*T^13 - 94/49*T^12 + 1/49*T^11 + 13/7*T^10 - 73/49*T^9 - 6/7*T^8 + 
        50/49*T^7 - 10/49*T^6 - 60/49*T^5 + 43/49*T^4 + 46/49*T^3 - 61/49*T^2 + 
        2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + X*Y^6 + 5*X*Y^5 + X*Y^3 + 5*X*Y + 3*X + 
        5*Y^18 + 5*Y^16 + 5*Y^15 + 6*Y^13 + 2*Y^12 + 5*Y^11 + 3*Y^10 + 4*Y^9 + 4*Y^8
        + 3*Y^7 + 3*Y^6 + 6*Y^5 + 6*Y^4 + 3*Y^3 + 4*Y^2 + 5*Y + 3,
    -T^32 - 6/7*T^31 + 46/49*T^30 + 67/49*T^29 + 5/49*T^28 - 50/49*T^27 - 41/49*T^26
        + 27/49*T^24 + 31/49*T^23 + 16/49*T^22 - 32/49*T^21 - 53/49*T^20 - 2/7*T^19 
        + 51/49*T^18 + 72/49*T^17 - 72/49*T^15 - 51/49*T^14 + 2/7*T^13 + 53/49*T^12 
        + 32/49*T^11 - 16/49*T^10 - 31/49*T^9 - 27/49*T^8 + 41/49*T^6 + 50/49*T^5 - 
        5/49*T^4 - 67/49*T^3 - 46/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 
        2*X*Y^2 + 2*X*Y + 6*Y^18 + 3*Y^17 + 5*Y^16 + 6*Y^15 + 3*Y^14 + 2*Y^13 + 
        3*Y^12 + Y^11 + Y^10 + 3*Y^9 + 2*Y^8 + 5*Y^7 + 5*Y^6 + 3*Y^5 + 4*Y^3 + 5*Y^2
        + 3,
    -T^32 + 3/7*T^31 - 25/49*T^30 + 5/7*T^29 - 2/7*T^28 + 3/49*T^27 - 5/49*T^26 - 
        1/7*T^25 + 4/49*T^24 - 1/49*T^23 - 8/49*T^22 + 13/49*T^21 - 20/49*T^20 + 
        10/49*T^19 - 1/49*T^18 + 8/49*T^17 - 8/49*T^15 + 1/49*T^14 - 10/49*T^13 + 
        20/49*T^12 - 13/49*T^11 + 8/49*T^10 + 1/49*T^9 - 4/49*T^8 + 1/7*T^7 + 
        5/49*T^6 - 3/49*T^5 + 2/7*T^4 - 5/7*T^3 + 25/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + X*Y^2 + 2*X*Y 
        + 3*Y^18 + 5*Y^16 + 3*Y^15 + 2*Y^14 + 2*Y^13 + 2*Y^11 + 4*Y^9 + 4*Y^8 + 
        5*Y^7 + 6*Y^6 + 6*Y^5 + 6*Y^4 + 2*Y^3 + 4*Y^2 + 6,
    -T^32 + 4/7*T^31 + 52/49*T^30 - 32/49*T^29 - 73/49*T^28 + 5/7*T^27 + 80/49*T^26 
        - 37/49*T^25 - 72/49*T^24 - 16/49*T^23 + 75/49*T^22 + 19/49*T^21 - 
        31/49*T^20 - 74/49*T^19 + 23/49*T^18 + 96/49*T^17 - 96/49*T^15 - 23/49*T^14 
        + 74/49*T^13 + 31/49*T^12 - 19/49*T^11 - 75/49*T^10 + 16/49*T^9 + 72/49*T^8 
        + 37/49*T^7 - 80/49*T^6 - 5/7*T^5 + 73/49*T^4 + 32/49*T^3 - 52/49*T^2 - 
        4/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + X*Y^2 + 3*X*Y 
        + 2*X + 2*Y^18 + 6*Y^17 + Y^16 + 5*Y^15 + 3*Y^14 + Y^13 + 2*Y^12 + 6*Y^11 + 
        5*Y^10 + 4*Y^9 + 3*Y^8 + 3*Y^7 + 4*Y^6 + 5*Y^4 + Y^3 + 4*Y + 1,
    -T^32 - 3/7*T^31 + 54/49*T^30 + 23/49*T^29 + 25/49*T^28 - 8/49*T^27 - 47/49*T^26
        + 41/49*T^25 + 3/49*T^24 - 61/49*T^23 - 4/7*T^22 - 9/49*T^21 + 50/49*T^20 + 
        65/49*T^19 - 24/49*T^17 + 24/49*T^15 - 65/49*T^13 - 50/49*T^12 + 9/49*T^11 +
        4/7*T^10 + 61/49*T^9 - 3/49*T^8 - 41/49*T^7 + 47/49*T^6 + 8/49*T^5 - 
        25/49*T^4 - 23/49*T^3 - 54/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 
        + 3*X*Y + 5*X + 4*Y^18 + 5*Y^17 + Y^14 + 3*Y^13 + 5*Y^12 + Y^11 + 5*Y^9 + 
        4*Y^8 + 6*Y^7 + Y^6 + 5*Y^5 + 4*Y^4 + Y^3 + 4*Y^2 + 4*Y + 1,
    -T^32 - 10/7*T^31 + 6/49*T^30 + 51/49*T^29 + 37/49*T^28 - 16/49*T^27 - 
        45/49*T^26 + 10/49*T^25 + 48/49*T^24 + 45/49*T^23 + 3/7*T^22 + 5/49*T^21 + 
        2/49*T^19 + 40/49*T^18 + 37/49*T^17 - 37/49*T^15 - 40/49*T^14 - 2/49*T^13 - 
        5/49*T^11 - 3/7*T^10 - 45/49*T^9 - 48/49*T^8 - 10/49*T^7 + 45/49*T^6 + 
        16/49*T^5 - 37/49*T^4 - 51/49*T^3 - 6/49*T^2 + 10/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 4*X*Y^6 + X*Y^4 + X*Y^3 + 4*X*Y^2 + 2*X*Y + 6*X + 2*Y^18
        + 4*Y^17 + 4*Y^16 + 4*Y^15 + 5*Y^14 + 2*Y^13 + 6*Y^11 + 6*Y^10 + 6*Y^9 + Y^8
        + 4*Y^6 + 5*Y^5 + 4*Y^3 + 6*Y,
    -T^32 - 2/7*T^31 + 13/49*T^30 + 61/49*T^29 + 29/49*T^28 - 52/49*T^27 - 11/7*T^26
        - 2/7*T^25 + 11/7*T^24 + 73/49*T^23 - 13/49*T^22 - 2*T^21 - 58/49*T^20 + 
        8/49*T^19 + 88/49*T^18 + 62/49*T^17 - 62/49*T^15 - 88/49*T^14 - 8/49*T^13 + 
        58/49*T^12 + 2*T^11 + 13/49*T^10 - 73/49*T^9 - 11/7*T^8 + 2/7*T^7 + 11/7*T^6
        + 52/49*T^5 - 29/49*T^4 - 61/49*T^3 - 13/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 2*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 4*X*Y + 3*X + 
        6*Y^18 + Y^17 + 2*Y^16 + 2*Y^15 + 3*Y^14 + 2*Y^13 + 2*Y^11 + 4*Y^10 + 6*Y^9 
        + 5*Y^8 + 3*Y^7 + 4*Y^6 + 2*Y^5 + Y^4 + Y^3 + 4*Y^2 + 3*Y + 5,
    T^32 + 9/7*T^31 + 6/49*T^30 + 2/49*T^29 - 2/49*T^28 - 48/49*T^27 - 54/49*T^26 - 
        3/7*T^25 + 13/49*T^24 - 1/7*T^23 - 5/7*T^22 - 25/49*T^21 - 23/49*T^20 - 
        9/49*T^19 + 10/49*T^18 + 57/49*T^17 + 97/49*T^16 + 57/49*T^15 + 10/49*T^14 -
        9/49*T^13 - 23/49*T^12 - 25/49*T^11 - 5/7*T^10 - 1/7*T^9 + 13/49*T^8 - 
        3/7*T^7 - 54/49*T^6 - 48/49*T^5 - 2/49*T^4 + 2/49*T^3 + 6/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + X*Y^3 + X*Y^2 + 6*X*Y + 
        2*X + Y^18 + 6*Y^17 + 3*Y^16 + 4*Y^15 + Y^14 + 6*Y^13 + 5*Y^12 + 6*Y^11 + 
        3*Y^10 + 2*Y^9 + 3*Y^8 + 5*Y^7 + 6*Y^6 + 3*Y^5 + 5*Y^3 + 5*Y^2 + 4*Y + 1,
    -T^32 - 2/7*T^31 + 4/49*T^30 - 1/7*T^29 - 13/49*T^28 - 34/49*T^27 + 29/49*T^26 -
        3/49*T^25 + 4/49*T^24 - 5/49*T^23 + 2/49*T^22 + 18/49*T^21 - 25/49*T^20 + 
        26/49*T^19 - 11/49*T^18 + 24/49*T^17 - 24/49*T^15 + 11/49*T^14 - 26/49*T^13 
        + 25/49*T^12 - 18/49*T^11 - 2/49*T^10 + 5/49*T^9 - 4/49*T^8 + 3/49*T^7 - 
        29/49*T^6 + 34/49*T^5 + 13/49*T^4 + 1/7*T^3 - 4/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^6 + 2*X*Y^5 + X*Y^3 + 3*X*Y^2 + 4*X*Y + 3*X + 6*Y^18 + 
        5*Y^17 + 6*Y^16 + Y^15 + 4*Y^14 + 4*Y^13 + 3*Y^12 + 3*Y^10 + 3*Y^9 + 4*Y^8 +
        Y^7 + 4*Y^6 + 6*Y^5 + 5*Y^3 + 4*Y^2 + 3*Y + 1,
    T^32 + 18/49*T^30 + 51/49*T^29 - 1/7*T^28 + 2/7*T^27 + 43/49*T^26 - 12/49*T^25 +
        23/49*T^24 + 5/7*T^23 - 26/49*T^22 + 2/49*T^21 + 11/49*T^20 - 31/49*T^19 - 
        5/49*T^18 + 13/49*T^17 - 32/49*T^16 + 13/49*T^15 - 5/49*T^14 - 31/49*T^13 + 
        11/49*T^12 + 2/49*T^11 - 26/49*T^10 + 5/7*T^9 + 23/49*T^8 - 12/49*T^7 + 
        43/49*T^6 + 2/7*T^5 - 1/7*T^4 + 51/49*T^3 + 18/49*T^2 + 1
*], [*
    X^3 + 4*X*Y^7 + X*Y^6 + 2*X*Y^2 + 4*X*Y + 6*X + 3*Y^18 + Y^17 + 5*Y^16 + 2*Y^15 
        + 2*Y^14 + 2*Y^13 + 2*Y^12 + 3*Y^11 + 4*Y^9 + 6*Y^8 + Y^6 + 4*Y^5 + 5*Y^4 + 
        5*Y^3 + Y^2 + 3*Y + 1,
    -T^32 + 9/7*T^31 - 16/49*T^30 + 5/49*T^29 + 3/7*T^28 - 13/49*T^27 - 12/49*T^26 +
        4/49*T^25 - 4/49*T^24 - 3/7*T^23 + 19/49*T^22 + 16/49*T^21 - 24/49*T^20 + 
        4/49*T^19 + 22/49*T^18 - 27/49*T^17 + 27/49*T^15 - 22/49*T^14 - 4/49*T^13 + 
        24/49*T^12 - 16/49*T^11 - 19/49*T^10 + 3/7*T^9 + 4/49*T^8 - 4/49*T^7 + 
        12/49*T^6 + 13/49*T^5 - 3/7*T^4 - 5/49*T^3 + 16/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 2*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 5*X*Y + 4*X + 
        3*Y^18 + Y^17 + 6*Y^16 + 4*Y^15 + 4*Y^14 + 4*Y^13 + Y^12 + 3*Y^11 + 4*Y^10 +
        5*Y^9 + 3*Y^8 + Y^7 + 6*Y^6 + 4*Y^4 + 6*Y^3 + 4*Y^2 + 6*Y + 4,
    -T^32 + 2*T^31 - 145/49*T^30 + 184/49*T^29 - 190/49*T^28 + 23/7*T^27 - 
        101/49*T^26 + 47/49*T^25 - 9/49*T^24 - 8/49*T^23 + 1/49*T^22 + 27/49*T^21 - 
        67/49*T^20 + 83/49*T^19 - 87/49*T^18 + 54/49*T^17 - 54/49*T^15 + 87/49*T^14 
        - 83/49*T^13 + 67/49*T^12 - 27/49*T^11 - 1/49*T^10 + 8/49*T^9 + 9/49*T^8 - 
        47/49*T^7 + 101/49*T^6 - 23/7*T^5 + 190/49*T^4 - 184/49*T^3 + 145/49*T^2 - 
        2*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + X*Y^7 + 4*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + X*Y^2 + 6*X*Y + 
        X + 4*Y^18 + 2*Y^17 + 6*Y^16 + 6*Y^15 + 4*Y^14 + 2*Y^13 + 5*Y^12 + 3*Y^11 + 
        3*Y^9 + 4*Y^8 + Y^7 + 3*Y^6 + 2*Y^5 + Y^4 + Y^3 + 5*Y^2 + 3*Y,
    -T^32 - 4/7*T^31 + 41/49*T^30 - 3/49*T^29 - 24/49*T^28 + 15/49*T^27 + 2/49*T^26 
        - 8/49*T^25 + 30/49*T^24 + 3/7*T^23 - 39/49*T^22 + 6/49*T^21 + 62/49*T^20 - 
        26/49*T^19 - T^18 + 32/49*T^17 - 32/49*T^15 + T^14 + 26/49*T^13 - 62/49*T^12
        - 6/49*T^11 + 39/49*T^10 - 3/7*T^9 - 30/49*T^8 + 8/49*T^7 - 2/49*T^6 - 
        15/49*T^5 + 24/49*T^4 + 3/49*T^3 - 41/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + X*Y^7 + 4*X*Y^6 + 2*X*Y^5 + X*Y^4 + 6*X*Y^3 + 6*X*Y^2 
        + 6*X*Y + X + 2*Y^18 + 6*Y^17 + 5*Y^16 + 2*Y^15 + 4*Y^14 + 4*Y^13 + 5*Y^12 +
        3*Y^11 + 4*Y^10 + 2*Y^9 + 3*Y^8 + 5*Y^5 + 5*Y^4 + 4*Y^3 + 3*Y,
    -T^32 - 6/7*T^31 + 5/49*T^30 + 6/7*T^29 + 33/49*T^28 - 46/49*T^27 - 12/7*T^26 - 
        38/49*T^25 + 33/49*T^24 + 48/49*T^23 - 10/7*T^21 - 9/7*T^20 + 1/7*T^19 + 
        43/49*T^18 + 50/49*T^17 - 50/49*T^15 - 43/49*T^14 - 1/7*T^13 + 9/7*T^12 + 
        10/7*T^11 - 48/49*T^9 - 33/49*T^8 + 38/49*T^7 + 12/7*T^6 + 46/49*T^5 - 
        33/49*T^4 - 6/7*T^3 - 5/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + X*Y^7 + X*Y^6 + X*Y^5 + 2*X*Y^4 + 3*X*Y^2 + 4*X*Y + X 
        + Y^18 + Y^17 + 5*Y^16 + 2*Y^15 + 6*Y^14 + 4*Y^13 + 4*Y^12 + 3*Y^11 + Y^10 +
        2*Y^9 + 5*Y^8 + 6*Y^7 + 5*Y^6 + 5*Y^5 + 3*Y^4 + 3*Y^3 + 4*Y^2 + 6*Y + 1,
    -T^32 - 1/7*T^31 + 6/7*T^30 + 3/49*T^29 - 18/49*T^28 + 11/49*T^27 + 4/49*T^25 + 
        1/7*T^24 + 9/49*T^23 + 5/49*T^22 - 2/7*T^21 + 1/7*T^20 + 5/49*T^19 - 
        29/49*T^18 - 13/49*T^17 + 13/49*T^15 + 29/49*T^14 - 5/49*T^13 - 1/7*T^12 + 
        2/7*T^11 - 5/49*T^10 - 9/49*T^9 - 1/7*T^8 - 4/49*T^7 - 11/49*T^5 + 18/49*T^4
        - 3/49*T^3 - 6/7*T^2 + 1/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 6*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + 6*X*Y 
        + 5*X + 4*Y^18 + 2*Y^16 + 6*Y^14 + 2*Y^13 + Y^12 + 2*Y^11 + 3*Y^10 + 6*Y^9 +
        3*Y^6 + 5*Y^5 + 4*Y^4 + 3*Y^3 + Y^2 + 4,
    -T^32 + 5/7*T^31 + 3/7*T^30 - 6/7*T^29 + 11/49*T^28 + 80/49*T^27 - 71/49*T^26 + 
        6/7*T^25 + 58/49*T^24 - 82/49*T^23 + 1/49*T^22 + 79/49*T^21 - 137/49*T^20 + 
        4/49*T^19 + 12/7*T^18 - 128/49*T^17 + 128/49*T^15 - 12/7*T^14 - 4/49*T^13 + 
        137/49*T^12 - 79/49*T^11 - 1/49*T^10 + 82/49*T^9 - 58/49*T^8 - 6/7*T^7 + 
        71/49*T^6 - 80/49*T^5 - 11/49*T^4 + 6/7*T^3 - 3/7*T^2 - 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        4*X*Y^2 + 4*X*Y + 4*X + Y^18 + 5*Y^17 + 4*Y^16 + 6*Y^14 + 5*Y^13 + 3*Y^12 + 
        2*Y^11 + 6*Y^10 + 3*Y^9 + 4*Y^8 + 2*Y^7 + 6*Y^6 + 4*Y^5 + Y^4 + 3*Y^3 + 6*Y 
        + 3,
    T^32 - 6/7*T^31 + 31/49*T^30 - 6/49*T^29 - 27/49*T^28 + 19/49*T^27 - 27/49*T^26 
        + 41/49*T^25 - 37/49*T^24 + 15/49*T^23 - 25/49*T^22 + 17/49*T^21 - 3/7*T^20 
        - 2/49*T^19 + 33/49*T^18 - 40/49*T^17 + 53/49*T^16 - 40/49*T^15 + 33/49*T^14
        - 2/49*T^13 - 3/7*T^12 + 17/49*T^11 - 25/49*T^10 + 15/49*T^9 - 37/49*T^8 + 
        41/49*T^7 - 27/49*T^6 + 19/49*T^5 - 27/49*T^4 - 6/49*T^3 + 31/49*T^2 - 6/7*T
        + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + X*Y^2 
        + 3*X + 6*Y^18 + 5*Y^17 + 5*Y^16 + Y^15 + Y^14 + 3*Y^13 + 5*Y^12 + Y^11 + 
        5*Y^10 + 3*Y^9 + 5*Y^8 + 3*Y^5 + 2*Y^4 + 6*Y^3 + 2*Y^2 + 3*Y + 4,
    -T^32 - 6/7*T^31 + 46/49*T^30 + 55/49*T^29 + 23/49*T^28 + 6/7*T^27 + 8/49*T^26 -
        67/49*T^25 - 61/49*T^24 + 2/49*T^23 + 41/49*T^22 + 6/49*T^21 - 25/49*T^20 + 
        30/49*T^19 + 24/49*T^18 - 58/49*T^17 + 58/49*T^15 - 24/49*T^14 - 30/49*T^13 
        + 25/49*T^12 - 6/49*T^11 - 41/49*T^10 - 2/49*T^9 + 61/49*T^8 + 67/49*T^7 - 
        8/49*T^6 - 6/7*T^5 - 23/49*T^4 - 55/49*T^3 - 46/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + 
        6*X*Y + 3*X + 5*Y^18 + 5*Y^17 + 4*Y^15 + 3*Y^14 + 5*Y^13 + 2*Y^12 + 4*Y^11 +
        3*Y^10 + Y^8 + 6*Y^7 + 4*Y^6 + 5*Y^5 + 5*Y^4 + Y^3 + 5*Y,
    T^32 + 3/7*T^31 + 15/49*T^30 + 4/7*T^29 + 36/49*T^28 + 4/7*T^27 - 3/49*T^26 + 
        6/7*T^25 + 66/49*T^24 + 31/49*T^23 + 1/49*T^22 + 33/49*T^21 + 23/49*T^20 + 
        15/49*T^19 + 6/49*T^18 + 23/49*T^17 + 72/49*T^16 + 23/49*T^15 + 6/49*T^14 + 
        15/49*T^13 + 23/49*T^12 + 33/49*T^11 + 1/49*T^10 + 31/49*T^9 + 66/49*T^8 + 
        6/7*T^7 - 3/49*T^6 + 4/7*T^5 + 36/49*T^4 + 4/7*T^3 + 15/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 
        4*X*Y^2 + 6*X*Y + 3*X + 3*Y^18 + 2*Y^16 + 6*Y^15 + 4*Y^13 + 2*Y^12 + 5*Y^11 
        + 3*Y^10 + 3*Y^9 + 6*Y^8 + 6*Y^7 + Y^6 + 3*Y^4 + 4*Y^3 + 5*Y^2 + 3*Y + 3,
    -T^32 + 9/7*T^31 + 31/49*T^30 - 76/49*T^29 + T^28 - 52/49*T^27 + 16/49*T^26 + 
        92/49*T^25 - 113/49*T^24 + 37/49*T^23 + 27/49*T^22 - 75/49*T^21 + 82/49*T^20
        - 6/49*T^19 - 55/49*T^18 + 30/49*T^17 - 30/49*T^15 + 55/49*T^14 + 6/49*T^13 
        - 82/49*T^12 + 75/49*T^11 - 27/49*T^10 - 37/49*T^9 + 113/49*T^8 - 92/49*T^7 
        - 16/49*T^6 + 52/49*T^5 - T^4 + 76/49*T^3 - 31/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 3*X*Y 
        + 4*X + 5*Y^18 + 6*Y^17 + 3*Y^16 + 4*Y^15 + 2*Y^14 + Y^13 + 3*Y^12 + Y^11 + 
        4*Y^10 + 6*Y^8 + 5*Y^7 + 4*Y^6 + 4*Y^5 + 6*Y^4 + Y^3 + 2*Y^2 + 2*Y,
    -T^32 - T^31 + 19/49*T^30 + 19/49*T^29 - 26/49*T^28 - 69/49*T^27 - 45/49*T^26 + 
        40/49*T^25 + T^24 - 27/49*T^23 - 73/49*T^22 - 4/7*T^21 + 47/49*T^20 + 
        51/49*T^19 - 20/49*T^18 - 11/7*T^17 + 11/7*T^15 + 20/49*T^14 - 51/49*T^13 - 
        47/49*T^12 + 4/7*T^11 + 73/49*T^10 + 27/49*T^9 - T^8 - 40/49*T^7 + 45/49*T^6
        + 69/49*T^5 + 26/49*T^4 - 19/49*T^3 - 19/49*T^2 + T + 1
*], [*
    X^3 + 2*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 4*X*Y^2 + 
        6*X*Y + 5*X + 6*Y^18 + 2*Y^17 + 6*Y^16 + 3*Y^15 + 3*Y^14 + 5*Y^13 + 3*Y^12 +
        6*Y^11 + Y^10 + 6*Y^9 + 2*Y^8 + 4*Y^7 + 5*Y^6 + 3*Y^5 + 4*Y^4 + 3*Y^3 + 5*Y,
    T^32 + 4/7*T^31 - 6/7*T^30 - 9/7*T^29 - 3/7*T^28 + 4/7*T^27 + 30/49*T^26 + 
        37/49*T^25 + 6/49*T^24 - 66/49*T^23 - 73/49*T^22 - 1/7*T^21 + 68/49*T^20 + 
        66/49*T^19 + 15/49*T^18 - 26/49*T^17 - 54/49*T^16 - 26/49*T^15 + 15/49*T^14 
        + 66/49*T^13 + 68/49*T^12 - 1/7*T^11 - 73/49*T^10 - 66/49*T^9 + 6/49*T^8 + 
        37/49*T^7 + 30/49*T^6 + 4/7*T^5 - 3/7*T^4 - 9/7*T^3 - 6/7*T^2 + 4/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 6*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 2*X*Y + X + 
        6*Y^18 + 4*Y^17 + Y^16 + Y^15 + 4*Y^14 + Y^13 + 3*Y^12 + 3*Y^11 + Y^10 + 
        6*Y^8 + 6*Y^7 + Y^6 + Y^5 + 2*Y^4 + Y^3 + 4*Y^2 + 2*Y + 6,
    -T^32 - 2/7*T^31 + 80/49*T^30 + 15/49*T^29 - 52/49*T^28 - 6/49*T^27 + 3/49*T^26 
        + 27/49*T^25 + 8/49*T^24 - 25/49*T^23 + 4/7*T^22 + 19/49*T^21 - 33/49*T^20 -
        3/7*T^19 + 19/49*T^18 + 55/49*T^17 - 55/49*T^15 - 19/49*T^14 + 3/7*T^13 + 
        33/49*T^12 - 19/49*T^11 - 4/7*T^10 + 25/49*T^9 - 8/49*T^8 - 27/49*T^7 - 
        3/49*T^6 + 6/49*T^5 + 52/49*T^4 - 15/49*T^3 - 80/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 
        X*Y^2 + X*Y + 6*X + 6*Y^18 + 4*Y^17 + 3*Y^15 + 3*Y^14 + 2*Y^13 + 4*Y^12 + 
        5*Y^11 + Y^10 + 6*Y^9 + Y^8 + Y^7 + 5*Y^6 + Y^5 + 3*Y^4 + 3*Y^3 + 3*Y^2 + Y 
        + 1,
    T^32 + 15/7*T^31 + 92/49*T^30 - 1/7*T^29 - 123/49*T^28 - 151/49*T^27 - 
        69/49*T^26 + 24/49*T^25 + 52/49*T^24 + 30/49*T^23 + 20/49*T^22 + 43/49*T^21 
        + 8/7*T^20 + 5/7*T^19 - 22/49*T^18 - 79/49*T^17 - 106/49*T^16 - 79/49*T^15 -
        22/49*T^14 + 5/7*T^13 + 8/7*T^12 + 43/49*T^11 + 20/49*T^10 + 30/49*T^9 + 
        52/49*T^8 + 24/49*T^7 - 69/49*T^6 - 151/49*T^5 - 123/49*T^4 - 1/7*T^3 + 
        92/49*T^2 + 15/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + X*Y^4 + 6*X*Y^3 + 5*X*Y^2 
        + 3*X*Y + 5*X + 2*Y^18 + 3*Y^17 + 6*Y^16 + 6*Y^15 + 2*Y^14 + 4*Y^13 + 4*Y^12
        + 4*Y^11 + 2*Y^10 + Y^9 + 6*Y^8 + 3*Y^7 + 2*Y^6 + 5*Y^5 + 2*Y^4 + 2*Y^3 + 
        6*Y + 1,
    T^32 - 4/7*T^31 - 38/49*T^30 + 4/7*T^29 - 18/49*T^28 - 8/49*T^27 + 25/49*T^26 - 
        9/49*T^25 + 22/49*T^24 + 17/49*T^23 - 40/49*T^22 + 1/7*T^21 + 2/7*T^20 - 
        48/49*T^19 - 13/49*T^18 + 40/49*T^17 + 40/49*T^15 - 13/49*T^14 - 48/49*T^13 
        + 2/7*T^12 + 1/7*T^11 - 40/49*T^10 + 17/49*T^9 + 22/49*T^8 - 9/49*T^7 + 
        25/49*T^6 - 8/49*T^5 - 18/49*T^4 + 4/7*T^3 - 38/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + X*Y^4 + X*Y^3 + X*Y^2 + 
        2*X*Y + 2*X + 4*Y^18 + 6*Y^17 + 6*Y^16 + 5*Y^15 + 5*Y^13 + 2*Y^11 + 3*Y^10 +
        3*Y^9 + Y^8 + Y^6 + 5*Y^5 + 6*Y^4 + Y^3 + 5*Y^2 + 3*Y + 1,
    T^32 + 4/7*T^31 + 6/49*T^30 + 10/49*T^29 + 5/49*T^28 - 9/49*T^27 + 20/49*T^26 + 
        26/49*T^25 + 9/49*T^24 - 2/49*T^23 - 15/49*T^22 - 12/49*T^21 - 18/49*T^20 - 
        16/49*T^19 - 18/49*T^18 - 11/49*T^17 - 23/49*T^16 - 11/49*T^15 - 18/49*T^14 
        - 16/49*T^13 - 18/49*T^12 - 12/49*T^11 - 15/49*T^10 - 2/49*T^9 + 9/49*T^8 + 
        26/49*T^7 + 20/49*T^6 - 9/49*T^5 + 5/49*T^4 + 10/49*T^3 + 6/49*T^2 + 4/7*T +
        1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + X*Y^4 + 5*X*Y^3 + 2*X*Y^2 
        + 6*X*Y + 6*Y^18 + Y^16 + 6*Y^15 + Y^14 + 6*Y^13 + 6*Y^12 + 3*Y^11 + 6*Y^10 
        + 6*Y^9 + 4*Y^8 + 4*Y^7 + 5*Y^6 + 4*Y^5 + 2*Y^4 + 5*Y^3 + 4*Y^2 + 4*Y + 4,
    -T^32 - 9/7*T^31 - 33/49*T^30 + 8/7*T^29 + 80/49*T^28 + 12/7*T^27 - 18/49*T^26 -
        60/49*T^25 - 93/49*T^24 - 34/49*T^23 + 5/49*T^22 + 12/7*T^21 + 52/49*T^20 + 
        3/49*T^19 - 74/49*T^18 - 73/49*T^17 + 73/49*T^15 + 74/49*T^14 - 3/49*T^13 - 
        52/49*T^12 - 12/7*T^11 - 5/49*T^10 + 34/49*T^9 + 93/49*T^8 + 60/49*T^7 + 
        18/49*T^6 - 12/7*T^5 - 80/49*T^4 - 8/7*T^3 + 33/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 3*X*Y^4 + X*Y^3 + 3*X*Y + 5*X + 
        4*Y^18 + 4*Y^17 + 3*Y^16 + 6*Y^15 + 5*Y^13 + 6*Y^12 + 3*Y^11 + 3*Y^10 + 
        3*Y^8 + 3*Y^7 + 2*Y^6 + 4*Y^3 + 5*Y^2 + 3*Y + 1,
    T^32 + 4/7*T^31 + 24/49*T^30 - 12/49*T^29 - 50/49*T^28 - 6/7*T^27 - 31/49*T^26 +
        31/49*T^25 + 6/7*T^24 + 12/49*T^23 + 16/49*T^22 - 5/7*T^21 - 27/49*T^20 - 
        27/49*T^19 - 2/49*T^18 + 25/49*T^17 - 1/49*T^16 + 25/49*T^15 - 2/49*T^14 - 
        27/49*T^13 - 27/49*T^12 - 5/7*T^11 + 16/49*T^10 + 12/49*T^9 + 6/7*T^8 + 
        31/49*T^7 - 31/49*T^6 - 6/7*T^5 - 50/49*T^4 - 12/49*T^3 + 24/49*T^2 + 4/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + X*Y^5 + X*Y^4 + 6*X*Y^3 + 6*X*Y^2 
        + 4*X*Y + 6*X + 3*Y^18 + 2*Y^16 + 4*Y^15 + 4*Y^14 + 5*Y^13 + 6*Y^12 + 2*Y^11
        + Y^10 + 6*Y^8 + 4*Y^7 + 5*Y^6 + 3*Y^5 + 2*Y^4 + 2*Y^3 + 2*Y^2 + Y + 6,
    T^32 - 12/7*T^31 + 79/49*T^30 - 8/7*T^29 + 30/49*T^28 + 5/49*T^27 - 5/7*T^26 + 
        51/49*T^25 - 47/49*T^24 + 30/49*T^23 - 6/49*T^22 + 11/49*T^20 - 9/49*T^19 - 
        32/49*T^18 + T^17 - 45/49*T^16 + T^15 - 32/49*T^14 - 9/49*T^13 + 11/49*T^12 
        - 6/49*T^10 + 30/49*T^9 - 47/49*T^8 + 51/49*T^7 - 5/7*T^6 + 5/49*T^5 + 
        30/49*T^4 - 8/7*T^3 + 79/49*T^2 - 12/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 3*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + X*Y^3 + 5*X*Y^2 + 2*X*Y 
        + Y^18 + 2*Y^17 + 6*Y^16 + 3*Y^14 + 6*Y^13 + 3*Y^10 + 6*Y^9 + 4*Y^8 + 3*Y^7 
        + 3*Y^6 + 4*Y^5 + 3*Y^4 + 4*Y^3 + 4*Y^2 + 6*Y + 1,
    -T^32 + 9/7*T^31 + 34/49*T^30 - 11/7*T^29 + 17/49*T^28 - 2/7*T^27 + 45/49*T^26 -
        15/49*T^25 - 47/49*T^24 + 78/49*T^23 - 5/7*T^22 - 34/49*T^21 + 10/49*T^20 + 
        23/49*T^19 + 54/49*T^18 - 101/49*T^17 + 101/49*T^15 - 54/49*T^14 - 
        23/49*T^13 - 10/49*T^12 + 34/49*T^11 + 5/7*T^10 - 78/49*T^9 + 47/49*T^8 + 
        15/49*T^7 - 45/49*T^6 + 2/7*T^5 - 17/49*T^4 + 11/7*T^3 - 34/49*T^2 - 9/7*T +
        1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + X*Y^6 + 5*X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + X*Y + 
        2*Y^18 + 6*Y^17 + 6*Y^16 + 3*Y^15 + 5*Y^14 + 4*Y^13 + 4*Y^12 + 2*Y^11 + 
        3*Y^10 + 5*Y^9 + 3*Y^7 + Y^6 + 6*Y^5 + 2*Y^4 + 4*Y^3 + 5*Y^2 + Y + 4,
    -T^32 - 6/7*T^31 - 2/49*T^30 + 17/49*T^29 + 23/49*T^28 + 6/49*T^27 - 2/49*T^26 +
        2/49*T^25 + 1/7*T^24 + 31/49*T^23 + 37/49*T^22 - 11/49*T^21 - 1/7*T^20 + 
        20/49*T^19 + 12/49*T^18 + 3/7*T^17 - 3/7*T^15 - 12/49*T^14 - 20/49*T^13 + 
        1/7*T^12 + 11/49*T^11 - 37/49*T^10 - 31/49*T^9 - 1/7*T^8 - 2/49*T^7 + 
        2/49*T^6 - 6/49*T^5 - 23/49*T^4 - 17/49*T^3 + 2/49*T^2 + 6/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + X*Y^2 + 
        6*X*Y + 5*X + 2*Y^18 + 6*Y^17 + Y^16 + 2*Y^15 + 6*Y^14 + 4*Y^12 + 2*Y^11 + 
        Y^10 + Y^9 + 4*Y^8 + 6*Y^6 + 4*Y^5 + 3*Y^2 + 6*Y + 3,
    -T^32 - 5/7*T^31 - 13/49*T^30 + 5/7*T^29 + 68/49*T^28 + 89/49*T^27 + 41/49*T^26 
        - 13/49*T^25 - 11/7*T^24 - 93/49*T^23 - 96/49*T^22 - 6/7*T^21 + 32/49*T^20 +
        103/49*T^19 + 115/49*T^18 + 89/49*T^17 - 89/49*T^15 - 115/49*T^14 - 
        103/49*T^13 - 32/49*T^12 + 6/7*T^11 + 96/49*T^10 + 93/49*T^9 + 11/7*T^8 + 
        13/49*T^7 - 41/49*T^6 - 89/49*T^5 - 68/49*T^4 - 5/7*T^3 + 13/49*T^2 + 5/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 4*X*Y^5 + X*Y^4 + 4*X*Y^3 + 3*X*Y^2 + 3*X*Y + 
        4*Y^18 + 4*Y^17 + Y^16 + 4*Y^15 + 6*Y^14 + 5*Y^13 + 3*Y^11 + 2*Y^10 + 2*Y^9 
        + Y^8 + 3*Y^7 + Y^6 + 5*Y^5 + 5*Y^3 + 5*Y^2 + 4*Y + 4,
    T^32 + 25/7*T^31 + 321/49*T^30 + 429/49*T^29 + 456/49*T^28 + 360/49*T^27 + 
        25/7*T^26 - 23/49*T^25 - 173/49*T^24 - 261/49*T^23 - 307/49*T^22 - 
        323/49*T^21 - 297/49*T^20 - 228/49*T^19 - 124/49*T^18 - 3/7*T^17 + 
        25/49*T^16 - 3/7*T^15 - 124/49*T^14 - 228/49*T^13 - 297/49*T^12 - 
        323/49*T^11 - 307/49*T^10 - 261/49*T^9 - 173/49*T^8 - 23/49*T^7 + 25/7*T^6 +
        360/49*T^5 + 456/49*T^4 + 429/49*T^3 + 321/49*T^2 + 25/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + 
        4*X*Y + 4*X + Y^18 + Y^17 + 3*Y^16 + 5*Y^15 + 3*Y^14 + 6*Y^13 + 3*Y^12 + 
        Y^11 + 6*Y^10 + 2*Y^9 + 4*Y^8 + 5*Y^7 + 5*Y^6 + 6*Y^5 + 5*Y^4 + Y^3 + 4*Y + 
        3,
    -T^32 - 4/7*T^31 + 13/49*T^29 + 6/49*T^28 + 33/49*T^27 + 68/49*T^26 - 1/7*T^25 -
        23/49*T^24 - 3/49*T^23 + 12/49*T^22 - 5/7*T^21 - 32/49*T^20 + 3/7*T^19 - 
        10/49*T^18 - 37/49*T^17 + 37/49*T^15 + 10/49*T^14 - 3/7*T^13 + 32/49*T^12 + 
        5/7*T^11 - 12/49*T^10 + 3/49*T^9 + 23/49*T^8 + 1/7*T^7 - 68/49*T^6 - 
        33/49*T^5 - 6/49*T^4 - 13/49*T^3 + 4/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 4*X*Y^2 + X*Y + 
        X + Y^18 + 4*Y^17 + 6*Y^16 + 3*Y^15 + 2*Y^14 + 2*Y^13 + 4*Y^12 + 3*Y^11 + 
        2*Y^10 + 5*Y^9 + Y^8 + 6*Y^7 + 5*Y^4 + 5*Y^3 + Y + 6,
    T^32 - 5/7*T^31 + 4/7*T^30 - 55/49*T^29 + 26/49*T^28 - 1/49*T^27 + 33/49*T^26 + 
        20/49*T^25 - 2/49*T^24 - 22/49*T^23 + 2/49*T^22 - 26/49*T^21 + 25/49*T^20 + 
        47/49*T^19 - 20/49*T^18 + 44/49*T^17 - 82/49*T^16 + 44/49*T^15 - 20/49*T^14 
        + 47/49*T^13 + 25/49*T^12 - 26/49*T^11 + 2/49*T^10 - 22/49*T^9 - 2/49*T^8 + 
        20/49*T^7 + 33/49*T^6 - 1/49*T^5 + 26/49*T^4 - 55/49*T^3 + 4/7*T^2 - 5/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 5*X*Y^5 + X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 4*X*Y 
        + 5*X + 3*Y^18 + 3*Y^15 + 5*Y^14 + 4*Y^13 + 3*Y^11 + 4*Y^9 + 2*Y^7 + 6*Y^6 +
        Y^4 + Y^2 + 4*Y,
    T^32 + 3/7*T^31 - 5/7*T^30 + 1/7*T^29 - 30/49*T^28 + 1/49*T^27 + 62/49*T^26 - 
        40/49*T^25 - 37/49*T^24 + 16/49*T^23 - 13/49*T^22 + 40/49*T^21 + 5/7*T^20 - 
        10/7*T^19 - 4/7*T^18 + 25/49*T^17 - 2/49*T^16 + 25/49*T^15 - 4/7*T^14 - 
        10/7*T^13 + 5/7*T^12 + 40/49*T^11 - 13/49*T^10 + 16/49*T^9 - 37/49*T^8 - 
        40/49*T^7 + 62/49*T^6 + 1/49*T^5 - 30/49*T^4 + 1/7*T^3 - 5/7*T^2 + 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 5*X*Y^5 + 5*X*Y^4 + 2*X*Y^2 + X*Y + Y^18 + 
        2*Y^16 + 4*Y^15 + 2*Y^13 + 5*Y^12 + 4*Y^11 + 6*Y^10 + 3*Y^9 + 3*Y^8 + 2*Y^7 
        + 6*Y^6 + 3*Y^5 + 5*Y^4 + Y^3 + 2,
    T^32 - 5/7*T^31 + 6/49*T^30 + T^29 - 15/49*T^28 - 29/49*T^26 + 51/49*T^25 - 
        27/49*T^24 - 38/49*T^23 + 17/49*T^22 - 5/49*T^21 - 2/49*T^20 - 30/49*T^19 + 
        20/49*T^18 + 11/49*T^17 - 4/7*T^16 + 11/49*T^15 + 20/49*T^14 - 30/49*T^13 - 
        2/49*T^12 - 5/49*T^11 + 17/49*T^10 - 38/49*T^9 - 27/49*T^8 + 51/49*T^7 - 
        29/49*T^6 - 15/49*T^4 + T^3 + 6/49*T^2 - 5/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + X*Y^3 + 4*X*Y + 
        4*X + 2*Y^18 + 5*Y^17 + Y^16 + 4*Y^15 + 5*Y^13 + 5*Y^12 + 5*Y^11 + 3*Y^10 + 
        Y^8 + Y^7 + 4*Y^6 + 3*Y^5 + 6*Y^4 + 6*Y^3 + 2*Y^2 + 4*Y,
    -T^32 - 8/7*T^31 - 10/49*T^30 + 61/49*T^29 + 16/7*T^28 + 61/49*T^27 - 36/49*T^26
        - 89/49*T^25 - 108/49*T^24 - 39/49*T^23 + 9/7*T^22 + 116/49*T^21 + 
        107/49*T^20 - 15/7*T^18 - 99/49*T^17 + 99/49*T^15 + 15/7*T^14 - 107/49*T^12 
        - 116/49*T^11 - 9/7*T^10 + 39/49*T^9 + 108/49*T^8 + 89/49*T^7 + 36/49*T^6 - 
        61/49*T^5 - 16/7*T^4 - 61/49*T^3 + 10/49*T^2 + 8/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 6*X*Y^3 + 6*X*Y^2 + 6*X*Y + 6*X + 5*Y^18 + 
        2*Y^17 + 3*Y^16 + 4*Y^15 + 3*Y^14 + Y^13 + 4*Y^12 + 4*Y^11 + Y^10 + 5*Y^9 + 
        5*Y^8 + Y^6 + 3*Y^5 + 4*Y^4 + 2*Y^2 + 2*Y + 1,
    T^32 - 8/7*T^31 - 61/49*T^30 + 123/49*T^29 - 15/49*T^28 - 111/49*T^27 + 
        65/49*T^26 + 78/49*T^25 - 88/49*T^24 - 18/49*T^23 + 71/49*T^22 - 34/49*T^21 
        - 15/49*T^20 + 23/49*T^19 - 2/49*T^18 - 4/49*T^17 - 6/49*T^16 - 4/49*T^15 - 
        2/49*T^14 + 23/49*T^13 - 15/49*T^12 - 34/49*T^11 + 71/49*T^10 - 18/49*T^9 - 
        88/49*T^8 + 78/49*T^7 + 65/49*T^6 - 111/49*T^5 - 15/49*T^4 + 123/49*T^3 - 
        61/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 2*X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + 3*X*Y + 2*X + 
        Y^18 + 2*Y^17 + 5*Y^16 + 4*Y^15 + 4*Y^14 + 6*Y^13 + 6*Y^12 + 3*Y^11 + Y^10 +
        Y^9 + 3*Y^8 + Y^7 + 5*Y^6 + 2*Y^5 + 6*Y^3 + 2*Y^2 + 3,
    T^32 - 5/7*T^31 - 6/49*T^30 + 76/49*T^29 - 54/49*T^28 - 32/49*T^27 + 2*T^26 - 
        50/49*T^25 - 68/49*T^24 + 107/49*T^23 - 37/49*T^22 - 73/49*T^21 + 11/7*T^20 
        - 13/49*T^19 - 41/49*T^18 + 5/49*T^17 - 2/49*T^16 + 5/49*T^15 - 41/49*T^14 -
        13/49*T^13 + 11/7*T^12 - 73/49*T^11 - 37/49*T^10 + 107/49*T^9 - 68/49*T^8 - 
        50/49*T^7 + 2*T^6 - 32/49*T^5 - 54/49*T^4 + 76/49*T^3 - 6/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 
        + 3*X*Y + 3*X + 5*Y^18 + 5*Y^17 + Y^16 + 3*Y^15 + 6*Y^14 + 6*Y^13 + 3*Y^12 +
        2*Y^11 + 3*Y^10 + 5*Y^9 + 3*Y^8 + 2*Y^7 + 6*Y^6 + 2*Y^4 + 6*Y^2 + 3*Y + 1,
    -T^32 - 1/7*T^31 + 76/49*T^30 + 50/49*T^29 - 32/49*T^28 - 102/49*T^27 - 
        23/49*T^26 + 74/49*T^25 + 54/49*T^24 - 4/49*T^23 - 59/49*T^22 - 33/49*T^21 +
        55/49*T^20 + T^19 - 20/49*T^18 - 80/49*T^17 + 80/49*T^15 + 20/49*T^14 - T^13
        - 55/49*T^12 + 33/49*T^11 + 59/49*T^10 + 4/49*T^9 - 54/49*T^8 - 74/49*T^7 + 
        23/49*T^6 + 102/49*T^5 + 32/49*T^4 - 50/49*T^3 - 76/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + X*Y^6 + X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 3*X*Y^2 
        + X*Y + 3*X + 6*Y^18 + 4*Y^17 + 2*Y^16 + 4*Y^15 + 3*Y^14 + 2*Y^13 + 2*Y^12 +
        Y^11 + 3*Y^10 + 6*Y^9 + 3*Y^8 + 4*Y^7 + 2*Y^6 + 5*Y^4 + 2*Y^3 + 2*Y^2 + 6*Y,
    -T^32 - 9/7*T^31 - 22/49*T^30 + 25/49*T^29 + 8/7*T^28 + 29/49*T^27 - 25/49*T^26 
        - 4/7*T^25 + 2/7*T^24 + 44/49*T^23 + 8/7*T^22 + 12/49*T^21 - 8/49*T^20 - 
        23/49*T^19 - 24/49*T^18 - 15/49*T^17 + 15/49*T^15 + 24/49*T^14 + 23/49*T^13 
        + 8/49*T^12 - 12/49*T^11 - 8/7*T^10 - 44/49*T^9 - 2/7*T^8 + 4/7*T^7 + 
        25/49*T^6 - 29/49*T^5 - 8/7*T^4 - 25/49*T^3 + 22/49*T^2 + 9/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + X*Y^5 + X*Y^4 + X*Y^3 + 2*X*Y^2 + 4*X 
        + 4*Y^18 + 5*Y^17 + 2*Y^15 + 3*Y^14 + 3*Y^12 + 5*Y^10 + 3*Y^9 + 2*Y^8 + 
        3*Y^7 + 5*Y^6 + 2*Y^5 + 6*Y^4 + 2*Y^3 + Y^2 + 5*Y + 1,
    -T^32 - 11/7*T^31 + 12/49*T^30 + 60/49*T^29 - 9/49*T^28 - 8/7*T^27 - 33/49*T^26 
        + 6/49*T^25 + 30/49*T^24 + 40/49*T^23 + 4/49*T^22 - 69/49*T^21 - 86/49*T^20 
        - 3/7*T^19 + 41/49*T^18 + 5/7*T^17 - 5/7*T^15 - 41/49*T^14 + 3/7*T^13 + 
        86/49*T^12 + 69/49*T^11 - 4/49*T^10 - 40/49*T^9 - 30/49*T^8 - 6/49*T^7 + 
        33/49*T^6 + 8/7*T^5 + 9/49*T^4 - 60/49*T^3 - 12/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + X*Y^7 + 3*X*Y^6 + X*Y^5 + 5*X*Y^3 + 6*X*Y^2 + 6*X*Y + 
        3*X + 6*Y^18 + 3*Y^17 + 5*Y^13 + 4*Y^12 + Y^11 + 5*Y^9 + 4*Y^8 + 2*Y^7 + 
        3*Y^6 + 5*Y^5 + 6*Y^4 + Y^2,
    T^32 - 82/49*T^30 - 30/49*T^29 + 18/49*T^28 + 47/49*T^27 + 45/49*T^26 - 
        22/49*T^25 - 3/7*T^24 + 1/7*T^23 + 10/49*T^22 + 10/49*T^21 - 41/49*T^20 - 
        54/49*T^19 + 12/49*T^18 + 40/49*T^17 + 25/49*T^16 + 40/49*T^15 + 12/49*T^14 
        - 54/49*T^13 - 41/49*T^12 + 10/49*T^11 + 10/49*T^10 + 1/7*T^9 - 3/7*T^8 - 
        22/49*T^7 + 45/49*T^6 + 47/49*T^5 + 18/49*T^4 - 30/49*T^3 - 82/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + X*Y^4 + 5*X*Y^3 + 2*X*Y + 
        3*X + 2*Y^18 + 4*Y^17 + Y^16 + 3*Y^15 + 6*Y^14 + 4*Y^13 + 3*Y^12 + 6*Y^11 + 
        2*Y^10 + 3*Y^9 + 6*Y^8 + Y^7 + 6*Y^6 + 4*Y^5 + 3*Y^4 + Y^3 + 3*Y + 3,
    T^32 - 6/7*T^31 + 25/49*T^30 - 20/49*T^29 + 9/49*T^28 - 13/49*T^27 + 3/7*T^26 - 
        29/49*T^25 + 16/49*T^24 + 2/49*T^23 - 6/49*T^22 - 17/49*T^21 + 5/49*T^20 + 
        9/49*T^19 + 2/7*T^18 - 16/49*T^17 + 11/49*T^16 - 16/49*T^15 + 2/7*T^14 + 
        9/49*T^13 + 5/49*T^12 - 17/49*T^11 - 6/49*T^10 + 2/49*T^9 + 16/49*T^8 - 
        29/49*T^7 + 3/7*T^6 - 13/49*T^5 + 9/49*T^4 - 20/49*T^3 + 25/49*T^2 - 6/7*T +
        1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 3*X*Y^5 + 3*X*Y^3 + 4*X*Y^2 + X*Y + Y^18 + 6*Y^15 + 3*Y^14
        + 5*Y^13 + 3*Y^12 + 5*Y^11 + Y^10 + 4*Y^9 + Y^8 + Y^7 + 5*Y^5 + Y^4 + 3*Y^3 
        + 3*Y^2 + 4,
    -T^32 + 2/7*T^31 + 43/49*T^30 + 30/49*T^28 - 50/49*T^27 + 43/49*T^25 - 
        19/49*T^24 + 5/49*T^23 - 62/49*T^22 - 1/49*T^21 + 54/49*T^20 + 3/7*T^18 - 
        48/49*T^17 + 48/49*T^15 - 3/7*T^14 - 54/49*T^12 + 1/49*T^11 + 62/49*T^10 - 
        5/49*T^9 + 19/49*T^8 - 43/49*T^7 + 50/49*T^5 - 30/49*T^4 - 43/49*T^2 - 2/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 
        + 6*X*Y + 2*X + Y^18 + 3*Y^17 + 3*Y^16 + Y^14 + Y^12 + Y^10 + 6*Y^9 + 2*Y^6 
        + 2*Y^4 + 5*Y^3 + 6*Y^2 + 3*Y + 1,
    -T^32 + 2/7*T^31 + 87/49*T^30 + 2/49*T^29 - 17/7*T^28 - 22/49*T^27 + 3*T^26 + 
        45/49*T^25 - 134/49*T^24 - 121/49*T^23 + 143/49*T^22 + 177/49*T^21 - 
        110/49*T^20 - 220/49*T^19 + 58/49*T^18 + 243/49*T^17 - 243/49*T^15 - 
        58/49*T^14 + 220/49*T^13 + 110/49*T^12 - 177/49*T^11 - 143/49*T^10 + 
        121/49*T^9 + 134/49*T^8 - 45/49*T^7 - 3*T^6 + 22/49*T^5 + 17/7*T^4 - 
        2/49*T^3 - 87/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 5*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 
        3*X*Y + 4*X + 6*Y^18 + 2*Y^17 + 5*Y^16 + 6*Y^15 + 2*Y^12 + 4*Y^11 + Y^10 + 
        4*Y^8 + 4*Y^7 + 6*Y^6 + 2*Y^5 + 6*Y^2 + 5*Y,
    T^32 + 11/7*T^31 + 59/49*T^30 + 52/49*T^29 + 53/49*T^28 + 13/49*T^27 - 
        31/49*T^26 - 5/7*T^25 - 25/49*T^24 - 41/49*T^23 - 46/49*T^22 - 2/7*T^21 + 
        3/49*T^20 + 4/49*T^19 - 2/49*T^18 + 1/7*T^17 + 10/49*T^16 + 1/7*T^15 - 
        2/49*T^14 + 4/49*T^13 + 3/49*T^12 - 2/7*T^11 - 46/49*T^10 - 41/49*T^9 - 
        25/49*T^8 - 5/7*T^7 - 31/49*T^6 + 13/49*T^5 + 53/49*T^4 + 52/49*T^3 + 
        59/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^7 + 3*X*Y^5 + 4*X*Y + 6*X + 3*Y^18 + 4*Y^17 + 5*Y^16 + 
        4*Y^15 + 6*Y^14 + Y^13 + 6*Y^12 + 3*Y^10 + 5*Y^9 + 4*Y^8 + 3*Y^7 + 3*Y^6 + 
        6*Y^5 + 2*Y^4 + 5*Y^2 + 3*Y + 4,
    T^32 - 13/7*T^31 + 115/49*T^30 - 97/49*T^29 + 64/49*T^28 - 31/49*T^26 + 
        46/49*T^25 - 41/49*T^24 + 23/49*T^23 + 5/49*T^22 + 3/49*T^21 - 5/49*T^20 + 
        25/49*T^19 - 46/49*T^18 + 79/49*T^17 - 75/49*T^16 + 79/49*T^15 - 46/49*T^14 
        + 25/49*T^13 - 5/49*T^12 + 3/49*T^11 + 5/49*T^10 + 23/49*T^9 - 41/49*T^8 + 
        46/49*T^7 - 31/49*T^6 + 64/49*T^4 - 97/49*T^3 + 115/49*T^2 - 13/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        5*X*Y^2 + 5*X*Y + 5*X + 6*Y^18 + 6*Y^17 + 3*Y^15 + 6*Y^14 + 3*Y^13 + 2*Y^11 
        + 2*Y^10 + Y^9 + 6*Y^8 + Y^7 + 2*Y^5 + 6*Y^4 + Y^3 + 2*Y^2 + 5*Y,
    -T^32 + 2*T^31 - 142/49*T^30 + 24/7*T^29 - 156/49*T^28 + 117/49*T^27 - 
        19/49*T^26 - 47/49*T^25 + 100/49*T^24 - 16/7*T^23 + 116/49*T^22 - 
        117/49*T^21 + 101/49*T^20 - 109/49*T^19 + 85/49*T^18 - 58/49*T^17 + 
        58/49*T^15 - 85/49*T^14 + 109/49*T^13 - 101/49*T^12 + 117/49*T^11 - 
        116/49*T^10 + 16/7*T^9 - 100/49*T^8 + 47/49*T^7 + 19/49*T^6 - 117/49*T^5 + 
        156/49*T^4 - 24/7*T^3 + 142/49*T^2 - 2*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + X*Y^7 + X*Y^6 + 6*X*Y^5 + X*Y^4 + X*Y^2 + X*Y + 5*X + 
        4*Y^18 + Y^17 + 3*Y^16 + 5*Y^15 + 5*Y^14 + 3*Y^13 + 3*Y^12 + 2*Y^11 + 5*Y^10
        + 3*Y^8 + 4*Y^7 + 5*Y^6 + Y^5 + 3*Y^4 + 4*Y^3 + 2*Y^2 + 4,
    -T^32 + 3/7*T^31 + 18/49*T^30 - 1/49*T^29 + 16/49*T^28 + 5/7*T^27 - 18/49*T^26 +
        2/49*T^25 + 6/49*T^24 - 6/7*T^23 - 22/49*T^22 + 3/7*T^21 + 1/49*T^20 + 
        9/49*T^19 + 16/49*T^18 + 2/49*T^17 - 2/49*T^15 - 16/49*T^14 - 9/49*T^13 - 
        1/49*T^12 - 3/7*T^11 + 22/49*T^10 + 6/7*T^9 - 6/49*T^8 - 2/49*T^7 + 
        18/49*T^6 - 5/7*T^5 - 16/49*T^4 + 1/49*T^3 - 18/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + X*Y^6 + 4*X*Y^4 + 6*X*Y^3 + X*Y^2 + 3*X*Y + 
        5*X + 4*Y^18 + Y^16 + 2*Y^15 + Y^14 + 5*Y^12 + 2*Y^10 + 6*Y^9 + 2*Y^7 + 
        4*Y^6 + Y^5 + 6*Y^4 + 6*Y^3 + 6*Y^2 + 2*Y + 4,
    T^32 + 1/7*T^31 + 12/49*T^30 + 2/7*T^29 + 40/49*T^28 + 30/49*T^27 + 18/49*T^26 +
        3/7*T^25 + 23/49*T^24 + 10/49*T^23 + 29/49*T^22 + 12/49*T^21 - 1/7*T^20 + 
        18/49*T^18 + 8/49*T^17 - 39/49*T^16 + 8/49*T^15 + 18/49*T^14 - 1/7*T^12 + 
        12/49*T^11 + 29/49*T^10 + 10/49*T^9 + 23/49*T^8 + 3/7*T^7 + 18/49*T^6 + 
        30/49*T^5 + 40/49*T^4 + 2/7*T^3 + 12/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 5*X*Y^2 
        + 2*Y^18 + 6*Y^13 + 4*Y^12 + 2*Y^11 + 3*Y^10 + 5*Y^9 + 2*Y^8 + Y^6 + 2*Y^5 +
        3*Y^4 + 2*Y^3 + 6*Y^2 + Y + 2,
    T^32 + 13/7*T^31 + 68/49*T^30 + 3/49*T^29 - 9/7*T^28 - 79/49*T^27 - 53/49*T^26 -
        3/7*T^25 - 1/7*T^24 + 23/49*T^22 + 59/49*T^21 + 68/49*T^20 + 25/49*T^19 - 
        38/49*T^18 - 76/49*T^17 - 89/49*T^16 - 76/49*T^15 - 38/49*T^14 + 25/49*T^13 
        + 68/49*T^12 + 59/49*T^11 + 23/49*T^10 - 1/7*T^8 - 3/7*T^7 - 53/49*T^6 - 
        79/49*T^5 - 9/7*T^4 + 3/49*T^3 + 68/49*T^2 + 13/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + 
        6*X*Y + 4*Y^18 + 4*Y^17 + 4*Y^15 + 3*Y^13 + 5*Y^12 + 2*Y^9 + 4*Y^8 + Y^7 + 
        Y^6 + 5*Y^5 + 6*Y^3 + 3*Y^2 + 4*Y + 4,
    -T^32 - 3/7*T^31 - 22/49*T^30 - 40/49*T^29 + 15/49*T^28 - 9/49*T^27 - 10/49*T^26
        + 9/49*T^25 + 12/49*T^24 + 40/49*T^23 + 41/49*T^22 + 36/49*T^21 + 29/49*T^20
        + 5/7*T^19 + 11/49*T^18 + 26/49*T^17 - 26/49*T^15 - 11/49*T^14 - 5/7*T^13 - 
        29/49*T^12 - 36/49*T^11 - 41/49*T^10 - 40/49*T^9 - 12/49*T^8 - 9/49*T^7 + 
        10/49*T^6 + 9/49*T^5 - 15/49*T^4 + 40/49*T^3 + 22/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + 
        4*X*Y + 3*X + 5*Y^18 + 4*Y^17 + 5*Y^16 + 2*Y^15 + 5*Y^14 + 5*Y^13 + 4*Y^12 +
        5*Y^10 + 5*Y^9 + 3*Y^8 + 6*Y^7 + 6*Y^5 + 2*Y^4 + 5*Y^3 + 3*Y + 1,
    -T^32 + 5/7*T^31 + 60/49*T^30 - 2/7*T^29 - 3/7*T^28 - 3/7*T^27 - 3/7*T^26 - 
        19/49*T^25 + T^24 + 33/49*T^23 - 26/49*T^22 + 4/49*T^21 + 4/49*T^20 - 
        3/49*T^19 - 20/49*T^18 - 17/49*T^17 + 17/49*T^15 + 20/49*T^14 + 3/49*T^13 - 
        4/49*T^12 - 4/49*T^11 + 26/49*T^10 - 33/49*T^9 - T^8 + 19/49*T^7 + 3/7*T^6 +
        3/7*T^5 + 3/7*T^4 + 2/7*T^3 - 60/49*T^2 - 5/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 3*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + X*Y^2 + 2*X*Y + 5*X + 
        6*Y^18 + 6*Y^17 + 2*Y^16 + 4*Y^15 + 5*Y^14 + Y^13 + 4*Y^12 + 4*Y^11 + 4*Y^10
        + Y^9 + 4*Y^8 + 4*Y^7 + 2*Y^6 + 4*Y^5 + 6*Y^4 + 4*Y^3 + 4*Y^2 + Y + 4,
    -T^32 + 11/7*T^31 - 15/49*T^30 - 48/49*T^29 + 67/49*T^28 - 65/49*T^27 + 
        8/49*T^26 + 60/49*T^25 - 8/7*T^24 + 11/49*T^23 + 31/49*T^22 - 65/49*T^21 + 
        69/49*T^20 + 1/49*T^19 - 82/49*T^18 + 72/49*T^17 - 72/49*T^15 + 82/49*T^14 -
        1/49*T^13 - 69/49*T^12 + 65/49*T^11 - 31/49*T^10 - 11/49*T^9 + 8/7*T^8 - 
        60/49*T^7 - 8/49*T^6 + 65/49*T^5 - 67/49*T^4 + 48/49*T^3 + 15/49*T^2 - 
        11/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 5*X*Y^7 + 2*X*Y^5 + 3*X*Y^3 + 6*X*Y^2 + 6*X*Y + X + 4*Y^18 + 
        6*Y^17 + 4*Y^16 + 3*Y^15 + 2*Y^14 + 4*Y^13 + Y^12 + Y^10 + 2*Y^9 + 2*Y^8 + 
        6*Y^7 + 5*Y^6 + 4*Y^5 + 3*Y^4 + 3*Y^3 + 3*Y^2 + 4*Y + 3,
    T^32 + 10/7*T^31 + 6/49*T^30 - 107/49*T^29 - 16/7*T^28 - 15/49*T^27 + 65/49*T^26
        + 53/49*T^25 + 24/49*T^24 + 11/49*T^23 - 9/49*T^22 - 22/49*T^21 - 23/49*T^20
        - 13/49*T^19 - 8/49*T^18 + 19/49*T^17 + 24/49*T^16 + 19/49*T^15 - 8/49*T^14 
        - 13/49*T^13 - 23/49*T^12 - 22/49*T^11 - 9/49*T^10 + 11/49*T^9 + 24/49*T^8 +
        53/49*T^7 + 65/49*T^6 - 15/49*T^5 - 16/7*T^4 - 107/49*T^3 + 6/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 2*X*Y^6 + 3*X*Y^2 + 5*X*Y + 5*X + 2*Y^18 + 3*Y^17 + 
        2*Y^16 + 6*Y^14 + 4*Y^13 + 5*Y^12 + 6*Y^11 + Y^10 + 2*Y^9 + 2*Y^8 + 6*Y^7 + 
        4*Y^6 + 3*Y^4 + 2*Y^3 + 6*Y^2 + 3,
    T^32 - 6/7*T^31 - 9/49*T^30 + 51/49*T^29 - 66/49*T^28 - 13/49*T^27 + 60/49*T^26 
        - 53/49*T^25 - 11/49*T^24 + 79/49*T^23 - 61/49*T^22 + 1/7*T^21 + 53/49*T^20 
        - 79/49*T^19 + 25/49*T^18 + 50/49*T^17 - 80/49*T^16 + 50/49*T^15 + 
        25/49*T^14 - 79/49*T^13 + 53/49*T^12 + 1/7*T^11 - 61/49*T^10 + 79/49*T^9 - 
        11/49*T^8 - 53/49*T^7 + 60/49*T^6 - 13/49*T^5 - 66/49*T^4 + 51/49*T^3 - 
        9/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 
        2*X*Y^2 + 3*X*Y + X + 3*Y^18 + 2*Y^16 + 5*Y^15 + Y^14 + 3*Y^12 + Y^11 + 
        2*Y^10 + 2*Y^8 + 3*Y^7 + 6*Y^6 + 6*Y^5 + Y^4 + 5*Y^3 + 2*Y^2 + 4,
    -T^32 - 1/7*T^31 + 69/49*T^30 - 1/7*T^29 - 60/49*T^28 + 15/49*T^27 + 40/49*T^26 
        - 5/49*T^25 + 2/49*T^24 - 12/49*T^23 + 4/49*T^22 + 5/7*T^21 - 19/49*T^20 - 
        43/49*T^19 + 15/49*T^18 + 58/49*T^17 - 58/49*T^15 - 15/49*T^14 + 43/49*T^13 
        + 19/49*T^12 - 5/7*T^11 - 4/49*T^10 + 12/49*T^9 - 2/49*T^8 + 5/49*T^7 - 
        40/49*T^6 - 15/49*T^5 + 60/49*T^4 + 1/7*T^3 - 69/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 6*X*Y^4 + X*Y^3 + 6*X*Y^2 + 3*X + 
        Y^18 + 5*Y^17 + 4*Y^15 + Y^14 + 5*Y^13 + 3*Y^12 + Y^11 + 5*Y^10 + 4*Y^9 + 
        4*Y^8 + Y^7 + Y^6 + 3*Y^5 + 3*Y^4 + 5*Y^3 + 2*Y^2 + 6*Y,
    -T^32 + 5/7*T^31 + 38/49*T^30 - 60/49*T^29 + 34/49*T^28 + 22/49*T^27 - 
        62/49*T^26 + 48/49*T^25 + 8/49*T^24 - 73/49*T^23 + 12/7*T^22 + 5/7*T^21 - 
        52/49*T^20 - 1/49*T^19 + 24/49*T^18 - 24/49*T^17 + 24/49*T^15 - 24/49*T^14 +
        1/49*T^13 + 52/49*T^12 - 5/7*T^11 - 12/7*T^10 + 73/49*T^9 - 8/49*T^8 - 
        48/49*T^7 + 62/49*T^6 - 22/49*T^5 - 34/49*T^4 + 60/49*T^3 - 38/49*T^2 - 
        5/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 3*X*Y^7 + X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 
        4*X + 3*Y^18 + 4*Y^17 + Y^16 + 3*Y^15 + 5*Y^14 + Y^13 + 4*Y^12 + 6*Y^11 + 
        Y^10 + 4*Y^9 + 2*Y^7 + 3*Y^6 + Y^5 + 4*Y^4 + 6*Y^3 + Y^2 + 6*Y + 3,
    -T^32 + T^31 - 57/49*T^30 - 2/49*T^29 + 8/49*T^28 - 55/49*T^27 + 64/49*T^26 - 
        57/49*T^25 + 9/49*T^24 + 32/49*T^23 - 25/49*T^22 + 19/49*T^21 + 10/49*T^20 -
        15/49*T^19 + 31/49*T^18 - 19/49*T^17 + 19/49*T^15 - 31/49*T^14 + 15/49*T^13 
        - 10/49*T^12 - 19/49*T^11 + 25/49*T^10 - 32/49*T^9 - 9/49*T^8 + 57/49*T^7 - 
        64/49*T^6 + 55/49*T^5 - 8/49*T^4 + 2/49*T^3 + 57/49*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 
        4*X*Y^2 + 6*X*Y + 4*Y^18 + Y^16 + 3*Y^15 + Y^14 + 6*Y^13 + 3*Y^12 + 4*Y^11 +
        5*Y^10 + 3*Y^9 + 4*Y^8 + Y^7 + Y^6 + 4*Y^5 + Y^4 + 2*Y^3 + 6*Y^2 + 6*Y + 2,
    T^32 + 16/7*T^31 + 16/7*T^30 + 47/49*T^29 - 15/49*T^28 - 6/7*T^27 - 61/49*T^26 -
        37/49*T^25 + 24/49*T^24 + 54/49*T^23 + 25/49*T^22 - 19/49*T^21 - 52/49*T^20 
        - 85/49*T^19 - 82/49*T^18 - 26/49*T^17 + 17/49*T^16 - 26/49*T^15 - 
        82/49*T^14 - 85/49*T^13 - 52/49*T^12 - 19/49*T^11 + 25/49*T^10 + 54/49*T^9 +
        24/49*T^8 - 37/49*T^7 - 61/49*T^6 - 6/7*T^5 - 15/49*T^4 + 47/49*T^3 + 
        16/7*T^2 + 16/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 2*X*Y^2 + 3*X*Y 
        + 6*X + 2*Y^18 + 3*Y^16 + 3*Y^15 + 2*Y^14 + 4*Y^13 + Y^12 + 6*Y^10 + 5*Y^9 +
        Y^7 + 2*Y^5 + 3*Y^4 + 2*Y^3 + 6*Y^2 + 3*Y + 3,
    T^32 - 3/7*T^31 - 2/49*T^30 - 12/49*T^29 + 2/49*T^28 - 4/49*T^27 - 4/7*T^26 - 
        1/7*T^25 + 2/49*T^24 + 1/7*T^23 - 2/49*T^22 - 24/49*T^21 + 1/49*T^20 + 
        1/7*T^19 - 3/49*T^18 + 48/49*T^17 - 25/49*T^16 + 48/49*T^15 - 3/49*T^14 + 
        1/7*T^13 + 1/49*T^12 - 24/49*T^11 - 2/49*T^10 + 1/7*T^9 + 2/49*T^8 - 1/7*T^7
        - 4/7*T^6 - 4/49*T^5 + 2/49*T^4 - 12/49*T^3 - 2/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + 4*X*Y + X + Y^18 + 2*Y^17 + 2*Y^16 + 6*Y^15 + Y^14 + Y^13 + 3*Y^12 +
        6*Y^11 + Y^10 + 3*Y^9 + 3*Y^7 + 4*Y^6 + 4*Y^4 + 3*Y^3 + 5*Y^2 + 2*Y + 1,
    T^32 - 88/49*T^30 - 11/49*T^29 + 71/49*T^28 + 13/49*T^27 - 62/49*T^26 - 
        31/49*T^25 + 88/49*T^24 + 46/49*T^23 - 96/49*T^22 - 4/7*T^21 + 73/49*T^20 + 
        2/49*T^19 - 52/49*T^18 + 6/49*T^17 + 44/49*T^16 + 6/49*T^15 - 52/49*T^14 + 
        2/49*T^13 + 73/49*T^12 - 4/7*T^11 - 96/49*T^10 + 46/49*T^9 + 88/49*T^8 - 
        31/49*T^7 - 62/49*T^6 + 13/49*T^5 + 71/49*T^4 - 11/49*T^3 - 88/49*T^2 + 1
*], [*
    X^3 + 3*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 5*X*Y^3 + X*Y^2 + 6*X*Y + 3*X + 
        Y^18 + 4*Y^17 + 4*Y^16 + 4*Y^14 + 6*Y^13 + 5*Y^12 + 6*Y^11 + 6*Y^10 + 5*Y^9 
        + 2*Y^7 + Y^6 + Y^5 + 5*Y^4 + Y^3 + 3*Y^2 + 5*Y,
    T^32 - 11/7*T^31 + 12/49*T^30 + 46/49*T^29 + 17/49*T^28 - 64/49*T^27 - 4/49*T^26
        + 102/49*T^25 - 83/49*T^24 - 20/49*T^23 + 37/49*T^22 + 52/49*T^21 - 
        67/49*T^20 - 33/49*T^19 + 13/7*T^18 - 22/49*T^17 - 36/49*T^16 - 22/49*T^15 +
        13/7*T^14 - 33/49*T^13 - 67/49*T^12 + 52/49*T^11 + 37/49*T^10 - 20/49*T^9 - 
        83/49*T^8 + 102/49*T^7 - 4/49*T^6 - 64/49*T^5 + 17/49*T^4 + 46/49*T^3 + 
        12/49*T^2 - 11/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 6*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + X*Y^3 + X*Y^2 + 2*X*Y + 
        5*X + 4*Y^18 + Y^17 + 2*Y^16 + 3*Y^15 + 3*Y^14 + Y^13 + Y^11 + 5*Y^8 + 3*Y^7
        + 5*Y^6 + 5*Y^5 + Y^4 + 4*Y^3 + Y^2 + 5*Y + 1,
    T^32 + 6/7*T^31 - 17/49*T^30 - 37/49*T^29 - 3/7*T^28 - 16/49*T^27 + 11/49*T^26 +
        8/49*T^25 - 37/49*T^24 - 37/49*T^23 + 24/49*T^22 + 48/49*T^21 - 6/49*T^20 - 
        41/49*T^19 - 22/49*T^18 + 33/49*T^17 + 47/49*T^16 + 33/49*T^15 - 22/49*T^14 
        - 41/49*T^13 - 6/49*T^12 + 48/49*T^11 + 24/49*T^10 - 37/49*T^9 - 37/49*T^8 +
        8/49*T^7 + 11/49*T^6 - 16/49*T^5 - 3/7*T^4 - 37/49*T^3 - 17/49*T^2 + 6/7*T +
        1
*], [*
    X^3 + X*Y^9 + 4*X*Y^7 + X*Y^6 + 2*X*Y^4 + X*Y^3 + 5*X*Y^2 + 6*X*Y + 5*X + 6*Y^18
        + 5*Y^17 + Y^16 + 3*Y^15 + 6*Y^14 + 5*Y^13 + 4*Y^12 + Y^11 + 4*Y^10 + 4*Y^9 
        + 2*Y^8 + 3*Y^7 + 5*Y^6 + 4*Y^5 + 6*Y^4 + 3*Y^2 + 2,
    -T^32 - 8/7*T^31 + 52/49*T^29 + 50/49*T^28 + 8/49*T^27 - 32/49*T^26 - 47/49*T^25
        - 4/7*T^24 + 3/7*T^23 + 50/49*T^22 + 43/49*T^21 - 2/49*T^20 - 36/49*T^19 - 
        46/49*T^18 - 29/49*T^17 + 29/49*T^15 + 46/49*T^14 + 36/49*T^13 + 2/49*T^12 -
        43/49*T^11 - 50/49*T^10 - 3/7*T^9 + 4/7*T^8 + 47/49*T^7 + 32/49*T^6 - 
        8/49*T^5 - 50/49*T^4 - 52/49*T^3 + 8/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + X*Y^4 + 5*X*Y^3 + 4*X*Y^2 + 5*X*Y 
        + 6*X + 2*Y^18 + 3*Y^17 + 2*Y^16 + Y^15 + 6*Y^14 + 5*Y^13 + 4*Y^12 + Y^11 + 
        6*Y^10 + 4*Y^8 + 3*Y^7 + 6*Y^3 + 3,
    -T^32 - 2/7*T^31 + 4/7*T^30 - 32/49*T^29 + 1/7*T^28 + 12/49*T^27 - 11/49*T^26 + 
        23/49*T^25 - 22/49*T^24 - 3/49*T^23 + 18/49*T^22 - 37/49*T^21 + 19/49*T^20 +
        17/49*T^19 - 30/49*T^18 + 15/49*T^17 - 15/49*T^15 + 30/49*T^14 - 17/49*T^13 
        - 19/49*T^12 + 37/49*T^11 - 18/49*T^10 + 3/49*T^9 + 22/49*T^8 - 23/49*T^7 + 
        11/49*T^6 - 12/49*T^5 - 1/7*T^4 + 32/49*T^3 - 4/7*T^2 + 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 5*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 4*X 
        + 4*Y^18 + 4*Y^17 + 4*Y^16 + 5*Y^15 + 4*Y^14 + Y^13 + Y^11 + 4*Y^9 + 3*Y^8 +
        4*Y^7 + Y^6 + 5*Y^5 + Y^4 + 4*Y^3 + 3*Y + 6,
    T^32 + 4/7*T^31 - 10/49*T^30 + 26/49*T^29 + 8/7*T^28 + 19/49*T^27 + 6/49*T^26 + 
        30/49*T^25 + 41/49*T^24 + 17/49*T^23 + 2/49*T^22 + 10/49*T^21 + 3/7*T^20 - 
        1/7*T^19 - 19/49*T^18 + 5/49*T^17 + 4/7*T^16 + 5/49*T^15 - 19/49*T^14 - 
        1/7*T^13 + 3/7*T^12 + 10/49*T^11 + 2/49*T^10 + 17/49*T^9 + 41/49*T^8 + 
        30/49*T^7 + 6/49*T^6 + 19/49*T^5 + 8/7*T^4 + 26/49*T^3 - 10/49*T^2 + 4/7*T +
        1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + X*Y^7 + 4*X*Y^6 + X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 3*X*Y + 
        2*X + 3*Y^18 + 3*Y^17 + 5*Y^16 + 2*Y^15 + 4*Y^14 + 2*Y^13 + Y^12 + 5*Y^9 + 
        2*Y^8 + 5*Y^7 + Y^6 + 3*Y^5 + 5*Y^4 + Y^3 + 2*Y^2 + 4*Y + 6,
    T^32 - 6/7*T^31 + 46/49*T^30 + 4/49*T^29 - 25/49*T^28 + 41/49*T^27 - 45/49*T^26 
        + 52/49*T^25 - 48/49*T^24 + 37/49*T^23 - 16/49*T^22 + 18/49*T^21 + 
        10/49*T^20 - 20/49*T^19 + 8/7*T^18 - 34/49*T^17 + 59/49*T^16 - 34/49*T^15 + 
        8/7*T^14 - 20/49*T^13 + 10/49*T^12 + 18/49*T^11 - 16/49*T^10 + 37/49*T^9 - 
        48/49*T^8 + 52/49*T^7 - 45/49*T^6 + 41/49*T^5 - 25/49*T^4 + 4/49*T^3 + 
        46/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 6*X*Y^6 + 4*X*Y^3 + 3*X*Y^2 + 5*X*Y + X + 4*Y^18 + 
        Y^17 + 3*Y^16 + 3*Y^15 + 6*Y^14 + Y^13 + 5*Y^12 + 4*Y^11 + Y^10 + 4*Y^9 + 
        2*Y^8 + 5*Y^7 + Y^6 + 4*Y^5 + 3*Y^4 + 5*Y^3 + 3*Y^2 + 4*Y + 4,
    -T^32 - 10/7*T^31 - 37/49*T^30 - 11/49*T^29 + 17/49*T^28 - 8/49*T^27 - 
        25/49*T^26 - 29/49*T^25 - 53/49*T^24 - 15/49*T^23 + 6/49*T^22 + 31/49*T^21 +
        22/49*T^20 - 38/49*T^19 - 39/49*T^18 - 6/7*T^17 + 6/7*T^15 + 39/49*T^14 + 
        38/49*T^13 - 22/49*T^12 - 31/49*T^11 - 6/49*T^10 + 15/49*T^9 + 53/49*T^8 + 
        29/49*T^7 + 25/49*T^6 + 8/49*T^5 - 17/49*T^4 + 11/49*T^3 + 37/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 5*X*Y^2 + 2*X*Y + 2*Y^18 +
        6*Y^17 + Y^16 + 3*Y^14 + Y^13 + Y^12 + Y^11 + Y^10 + Y^9 + Y^8 + 5*Y^6 + 
        2*Y^5 + Y^4 + 6*Y^3 + 3*Y + 6,
    T^32 - 4/7*T^31 + 13/49*T^30 + 10/49*T^29 - 55/49*T^28 + 50/49*T^27 - 93/49*T^26
        + 36/49*T^25 + 22/49*T^24 - T^23 + 107/49*T^22 - 82/49*T^21 + 85/49*T^20 - 
        10/49*T^19 - 65/49*T^18 + 76/49*T^17 - 116/49*T^16 + 76/49*T^15 - 65/49*T^14
        - 10/49*T^13 + 85/49*T^12 - 82/49*T^11 + 107/49*T^10 - T^9 + 22/49*T^8 + 
        36/49*T^7 - 93/49*T^6 + 50/49*T^5 - 55/49*T^4 + 10/49*T^3 + 13/49*T^2 - 
        4/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 
        2*X*Y + 6*X + 5*Y^18 + 2*Y^17 + Y^16 + 6*Y^15 + 6*Y^14 + Y^13 + Y^12 + 
        6*Y^11 + Y^10 + 6*Y^9 + Y^8 + 5*Y^7 + 4*Y^6 + 6*Y^5 + Y^2 + 2*Y + 4,
    -T^32 + 1/7*T^31 - 17/49*T^30 - 36/49*T^29 + 6/49*T^28 - 53/49*T^27 - 3/49*T^26 
        - 72/49*T^25 + 4/49*T^24 - 32/49*T^23 - 41/49*T^22 + 24/49*T^21 - 81/49*T^20
        + 45/49*T^19 - 61/49*T^18 + 23/49*T^17 - 23/49*T^15 + 61/49*T^14 - 
        45/49*T^13 + 81/49*T^12 - 24/49*T^11 + 41/49*T^10 + 32/49*T^9 - 4/49*T^8 + 
        72/49*T^7 + 3/49*T^6 + 53/49*T^5 - 6/49*T^4 + 36/49*T^3 + 17/49*T^2 - 1/7*T 
        + 1
*], [*
    X^3 + X*Y^8 + X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + X*Y^3 + 6*X*Y^2 + 3*X*Y + 
        5*X + 5*Y^18 + Y^17 + 6*Y^16 + Y^15 + 6*Y^14 + 2*Y^13 + 2*Y^12 + 2*Y^11 + 
        3*Y^10 + 3*Y^9 + 2*Y^8 + 4*Y^6 + 3*Y^5 + Y^4 + Y^3 + Y^2 + 4*Y,
    -T^32 - 3/7*T^31 + 52/49*T^30 - 2/49*T^29 - 12/7*T^28 - 5/49*T^27 + 80/49*T^26 -
        11/49*T^25 - T^24 + 60/49*T^23 + 83/49*T^22 - 29/49*T^21 - 19/49*T^20 + 
        69/49*T^19 + 43/49*T^18 - 27/49*T^17 + 27/49*T^15 - 43/49*T^14 - 69/49*T^13 
        + 19/49*T^12 + 29/49*T^11 - 83/49*T^10 - 60/49*T^9 + T^8 + 11/49*T^7 - 
        80/49*T^6 + 5/49*T^5 + 12/7*T^4 + 2/49*T^3 - 52/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 2*X*Y^3 + X*Y^2 + 3*X*Y + 6*X + 
        3*Y^18 + 4*Y^17 + 4*Y^16 + 2*Y^15 + 5*Y^14 + 2*Y^13 + 5*Y^12 + 2*Y^11 + 
        4*Y^10 + 4*Y^8 + 4*Y^7 + 2*Y^5 + Y^3 + 5*Y^2 + 6*Y + 5,
    T^32 - 1/7*T^31 + 55/49*T^30 - 60/49*T^29 + 30/49*T^28 - 93/49*T^27 + 5/7*T^26 -
        11/7*T^25 + 52/49*T^24 - 54/49*T^23 + 67/49*T^22 - 26/49*T^21 + 57/49*T^20 -
        24/49*T^19 + 31/49*T^18 - 37/49*T^17 + 13/49*T^16 - 37/49*T^15 + 31/49*T^14 
        - 24/49*T^13 + 57/49*T^12 - 26/49*T^11 + 67/49*T^10 - 54/49*T^9 + 52/49*T^8 
        - 11/7*T^7 + 5/7*T^6 - 93/49*T^5 + 30/49*T^4 - 60/49*T^3 + 55/49*T^2 - 1/7*T
        + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + X*Y^5 + 5*X*Y^3 + 4*X*Y^2 + 2*X*Y + 
        3*X + 5*Y^18 + 2*Y^17 + 6*Y^16 + Y^15 + 6*Y^13 + 4*Y^12 + 2*Y^11 + 6*Y^10 + 
        Y^9 + 2*Y^8 + 4*Y^7 + 2*Y^6 + Y^5 + 6*Y^4 + 3*Y^2 + 3*Y + 4,
    T^32 - 4/7*T^31 - 17/49*T^30 + 31/49*T^29 - 40/49*T^28 - 5/7*T^27 + 5/7*T^26 + 
        5/49*T^25 - 22/49*T^24 + 16/49*T^23 + 3/7*T^22 - 8/49*T^21 + 4/49*T^20 + 
        41/49*T^19 - 29/49*T^18 - 25/49*T^17 + 8/49*T^16 - 25/49*T^15 - 29/49*T^14 +
        41/49*T^13 + 4/49*T^12 - 8/49*T^11 + 3/7*T^10 + 16/49*T^9 - 22/49*T^8 + 
        5/49*T^7 + 5/7*T^6 - 5/7*T^5 - 40/49*T^4 + 31/49*T^3 - 17/49*T^2 - 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 
        + 6*Y^18 + 6*Y^17 + Y^16 + 2*Y^15 + 5*Y^13 + 4*Y^12 + 2*Y^11 + 2*Y^10 + 
        2*Y^9 + 3*Y^8 + 6*Y^7 + 5*Y^6 + 5*Y^5 + 5*Y^4 + 2*Y^3 + Y^2 + 2*Y + 2,
    -T^32 - 1/7*T^31 + 52/49*T^30 - 26/49*T^29 - 25/49*T^28 + 36/49*T^27 + 1/7*T^26 
        + 3/49*T^25 + T^24 - 44/49*T^22 + 3/7*T^21 + 34/49*T^20 - 5/7*T^19 - 
        3/7*T^18 - 1/7*T^17 + 1/7*T^15 + 3/7*T^14 + 5/7*T^13 - 34/49*T^12 - 3/7*T^11
        + 44/49*T^10 - T^8 - 3/49*T^7 - 1/7*T^6 - 36/49*T^5 + 25/49*T^4 + 26/49*T^3 
        - 52/49*T^2 + 1/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + X*Y^3 + 6*X*Y^2 + 4*X*Y + 
        3*Y^18 + 2*Y^17 + 4*Y^16 + 3*Y^15 + Y^14 + 4*Y^13 + Y^12 + 6*Y^10 + 5*Y^9 + 
        4*Y^8 + 4*Y^7 + 4*Y^6 + 6*Y^5 + 6*Y^4 + 6*Y^3 + 5*Y^2 + 3*Y + 2,
    T^32 + 6/7*T^31 + 37/49*T^30 + 57/49*T^29 + 46/49*T^28 + 3/7*T^27 + 8/49*T^26 + 
        2/49*T^25 - 33/49*T^24 - 34/49*T^23 - 41/49*T^22 - 59/49*T^21 - 34/49*T^20 -
        11/49*T^19 - 25/49*T^18 - 6/49*T^17 + 26/49*T^16 - 6/49*T^15 - 25/49*T^14 - 
        11/49*T^13 - 34/49*T^12 - 59/49*T^11 - 41/49*T^10 - 34/49*T^9 - 33/49*T^8 + 
        2/49*T^7 + 8/49*T^6 + 3/7*T^5 + 46/49*T^4 + 57/49*T^3 + 37/49*T^2 + 6/7*T + 
        1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 3*X*Y^7 + 3*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 4*X + 
        Y^18 + 2*Y^17 + Y^15 + 3*Y^14 + 3*Y^13 + 3*Y^11 + 6*Y^9 + 3*Y^8 + 3*Y^7 + 
        2*Y^6 + 4*Y^5 + 3*Y^4 + 6*Y^3 + 6*Y^2 + Y + 3,
    T^32 - 13/7*T^31 + 116/49*T^30 - 68/49*T^29 + 3/7*T^28 + 60/49*T^27 - 
        116/49*T^26 + 138/49*T^25 - 60/49*T^24 - 2/7*T^23 + 101/49*T^22 - 
        155/49*T^21 + 192/49*T^20 - 114/49*T^19 - 9/49*T^18 + 124/49*T^17 - 
        152/49*T^16 + 124/49*T^15 - 9/49*T^14 - 114/49*T^13 + 192/49*T^12 - 
        155/49*T^11 + 101/49*T^10 - 2/7*T^9 - 60/49*T^8 + 138/49*T^7 - 116/49*T^6 + 
        60/49*T^5 + 3/7*T^4 - 68/49*T^3 + 116/49*T^2 - 13/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 
        5*X*Y^2 + 6*X*Y + 3*X + 6*Y^18 + 6*Y^17 + 2*Y^16 + 3*Y^15 + 6*Y^14 + 2*Y^12 
        + 4*Y^11 + Y^10 + 3*Y^9 + Y^8 + 6*Y^7 + 5*Y^6 + 3*Y^5 + 6*Y^4 + 6*Y^3 + 
        3*Y^2 + 4*Y + 5,
    -T^32 - 2*T^31 - 139/49*T^30 - 138/49*T^29 - 106/49*T^28 - 61/49*T^27 - 5/7*T^26
        - 31/49*T^25 - 76/49*T^24 - 131/49*T^23 - 153/49*T^22 - 120/49*T^21 - 
        40/49*T^20 + 57/49*T^19 + 95/49*T^18 + 76/49*T^17 - 76/49*T^15 - 95/49*T^14 
        - 57/49*T^13 + 40/49*T^12 + 120/49*T^11 + 153/49*T^10 + 131/49*T^9 + 
        76/49*T^8 + 31/49*T^7 + 5/7*T^6 + 61/49*T^5 + 106/49*T^4 + 138/49*T^3 + 
        139/49*T^2 + 2*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 6*X*Y^3 + 6*X*Y^2 + X*Y + 5*X 
        + 6*Y^18 + 5*Y^17 + 2*Y^16 + 2*Y^15 + 3*Y^14 + 5*Y^13 + 5*Y^12 + 4*Y^11 + 
        3*Y^10 + 4*Y^9 + 4*Y^8 + 2*Y^6 + 4*Y^3 + 4*Y^2 + Y + 4,
    -T^32 + T^31 - 48/49*T^30 + 29/49*T^29 + 25/49*T^28 - 53/49*T^27 + 79/49*T^26 - 
        99/49*T^25 + 68/49*T^24 - 45/49*T^23 - 16/49*T^22 + 8/7*T^21 - 80/49*T^20 + 
        104/49*T^19 - 86/49*T^18 + 51/49*T^17 - 51/49*T^15 + 86/49*T^14 - 
        104/49*T^13 + 80/49*T^12 - 8/7*T^11 + 16/49*T^10 + 45/49*T^9 - 68/49*T^8 + 
        99/49*T^7 - 79/49*T^6 + 53/49*T^5 - 25/49*T^4 - 29/49*T^3 + 48/49*T^2 - T + 
        1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + X*Y^2 
        + 6*X*Y + 5*X + 3*Y^18 + 4*Y^17 + 5*Y^16 + 4*Y^15 + 5*Y^14 + 5*Y^12 + 3*Y^10
        + Y^9 + 6*Y^5 + 5*Y^4 + 4*Y^3 + 6*Y^2 + 3*Y + 1,
    T^32 - 8/7*T^31 + 5/7*T^30 - 58/49*T^29 + 54/49*T^28 - 8/7*T^27 + 50/49*T^26 - 
        4/7*T^25 + 27/49*T^24 - 27/49*T^23 + 20/49*T^22 + 4/49*T^21 - 1/7*T^20 + 
        20/49*T^19 - 40/49*T^18 + 36/49*T^17 - 30/49*T^16 + 36/49*T^15 - 40/49*T^14 
        + 20/49*T^13 - 1/7*T^12 + 4/49*T^11 + 20/49*T^10 - 27/49*T^9 + 27/49*T^8 - 
        4/7*T^7 + 50/49*T^6 - 8/7*T^5 + 54/49*T^4 - 58/49*T^3 + 5/7*T^2 - 8/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + X*Y^4 + 5*X*Y^3 + X*Y^2 
        + 3*X + 4*Y^18 + 4*Y^17 + 4*Y^16 + 6*Y^15 + 3*Y^13 + 5*Y^12 + 3*Y^11 + 
        4*Y^10 + 4*Y^9 + 6*Y^8 + 5*Y^7 + Y^6 + Y^5 + 5*Y^4 + Y^3 + Y^2 + 5*Y + 1,
    T^32 + 10/7*T^31 - 10/49*T^30 - 111/49*T^29 - 128/49*T^28 - 50/49*T^27 + 
        87/49*T^26 + 184/49*T^25 + 114/49*T^24 - 12/7*T^23 - 191/49*T^22 - 
        117/49*T^21 + 45/49*T^20 + 156/49*T^19 + 114/49*T^18 - 54/49*T^17 - 3*T^16 -
        54/49*T^15 + 114/49*T^14 + 156/49*T^13 + 45/49*T^12 - 117/49*T^11 - 
        191/49*T^10 - 12/7*T^9 + 114/49*T^8 + 184/49*T^7 + 87/49*T^6 - 50/49*T^5 - 
        128/49*T^4 - 111/49*T^3 - 10/49*T^2 + 10/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 2*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 6*X + 3*Y^18 + 
        4*Y^17 + 5*Y^16 + Y^15 + Y^12 + 5*Y^10 + 4*Y^9 + 2*Y^8 + 4*Y^6 + Y^5 + 5*Y^4
        + 2*Y^3 + 5*Y^2 + Y + 2,
    -T^32 + 8/7*T^31 - 64/49*T^30 + 46/49*T^29 - 17/49*T^28 - 10/49*T^27 + 
        50/49*T^26 - 32/49*T^25 + 24/49*T^24 - 5/49*T^23 - 10/49*T^22 + 5/49*T^21 - 
        17/49*T^20 - 27/49*T^19 + 19/49*T^18 - 2/7*T^17 + 2/7*T^15 - 19/49*T^14 + 
        27/49*T^13 + 17/49*T^12 - 5/49*T^11 + 10/49*T^10 + 5/49*T^9 - 24/49*T^8 + 
        32/49*T^7 - 50/49*T^6 + 10/49*T^5 + 17/49*T^4 - 46/49*T^3 + 64/49*T^2 - 
        8/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 
        X*Y^2 + 4*X*Y + 5*X + 4*Y^18 + 4*Y^17 + 3*Y^16 + 5*Y^15 + Y^13 + Y^12 + 
        3*Y^11 + 6*Y^10 + 6*Y^9 + 6*Y^8 + 4*Y^7 + 3*Y^6 + 2*Y^5 + 6*Y^4 + 3*Y^3 + 
        2*Y^2 + Y + 4,
    -T^32 - 2/7*T^31 + 12/49*T^30 - 32/49*T^29 - 5/7*T^28 + 5/49*T^27 - 23/49*T^26 -
        37/49*T^25 + 27/49*T^24 + 9/49*T^23 - 36/49*T^22 + 2/49*T^21 + 3/7*T^20 - 
        3/7*T^19 - 5/49*T^18 + 34/49*T^17 - 34/49*T^15 + 5/49*T^14 + 3/7*T^13 - 
        3/7*T^12 - 2/49*T^11 + 36/49*T^10 - 9/49*T^9 - 27/49*T^8 + 37/49*T^7 + 
        23/49*T^6 - 5/49*T^5 + 5/7*T^4 + 32/49*T^3 - 12/49*T^2 + 2/7*T + 1
*], [*
    X^3 + X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + 4*X*Y + 
        6*X + 2*Y^18 + 5*Y^17 + 4*Y^16 + 4*Y^15 + 4*Y^12 + Y^11 + 5*Y^10 + Y^9 + Y^8
        + 2*Y^7 + 2*Y^6 + 3*Y^4 + 6*Y^2 + 4*Y + 3,
    T^32 + 3/7*T^31 - 5/49*T^30 - 33/49*T^29 - 26/49*T^28 + 1/7*T^27 + 46/49*T^26 + 
        13/49*T^25 + 16/49*T^24 - 46/49*T^23 - 45/49*T^22 - 1/7*T^21 + 50/49*T^20 + 
        32/49*T^19 + 15/49*T^18 - 26/49*T^17 - 22/49*T^16 - 26/49*T^15 + 15/49*T^14 
        + 32/49*T^13 + 50/49*T^12 - 1/7*T^11 - 45/49*T^10 - 46/49*T^9 + 16/49*T^8 + 
        13/49*T^7 + 46/49*T^6 + 1/7*T^5 - 26/49*T^4 - 33/49*T^3 - 5/49*T^2 + 3/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 2*X 
        + 4*Y^18 + 3*Y^17 + 2*Y^16 + 6*Y^15 + 4*Y^14 + 3*Y^13 + 2*Y^11 + 2*Y^8 + 
        6*Y^7 + 2*Y^6 + Y^5 + Y^4 + 5*Y^3 + 5*Y^2 + 2*Y,
    T^32 + 15/7*T^31 + 99/49*T^30 + 9/49*T^29 - 78/49*T^28 - 101/49*T^27 - 
        44/49*T^26 + 19/49*T^25 + 3/49*T^24 - 13/7*T^23 - 24/7*T^22 - 124/49*T^21 + 
        13/49*T^20 + 135/49*T^19 + 131/49*T^18 + T^17 - 8/49*T^16 + T^15 + 
        131/49*T^14 + 135/49*T^13 + 13/49*T^12 - 124/49*T^11 - 24/7*T^10 - 13/7*T^9 
        + 3/49*T^8 + 19/49*T^7 - 44/49*T^6 - 101/49*T^5 - 78/49*T^4 + 9/49*T^3 + 
        99/49*T^2 + 15/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 3*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 6*X*Y^2 + 5*X*Y + 5*X + 
        2*Y^18 + 4*Y^17 + 6*Y^16 + 2*Y^15 + 2*Y^13 + 3*Y^12 + 6*Y^11 + 5*Y^10 + 
        4*Y^9 + 3*Y^8 + 3*Y^7 + 2*Y^6 + 5*Y^5 + 2*Y^4 + 4*Y^3 + 4*Y^2 + Y + 1,
    -T^32 + 1/7*T^31 + 22/49*T^30 + 2/49*T^29 + 18/49*T^28 + 2/7*T^27 + 5/49*T^26 - 
        5/49*T^25 - 22/49*T^24 + 24/49*T^23 - 9/49*T^22 - 5/49*T^21 + 1/49*T^20 - 
        2/7*T^19 - 1/49*T^18 + 2/49*T^17 - 2/49*T^15 + 1/49*T^14 + 2/7*T^13 - 
        1/49*T^12 + 5/49*T^11 + 9/49*T^10 - 24/49*T^9 + 22/49*T^8 + 5/49*T^7 - 
        5/49*T^6 - 2/7*T^5 - 18/49*T^4 - 2/49*T^3 - 22/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 3*X*Y^3 + 5*X*Y^2 + X + 
        6*Y^18 + 5*Y^17 + 5*Y^16 + 5*Y^15 + 3*Y^14 + 4*Y^11 + 3*Y^10 + 5*Y^9 + 2*Y^8
        + 5*Y^7 + 2*Y^6 + 5*Y^5 + 5*Y^3 + 2*Y^2 + 1,
    T^32 + 15/7*T^31 + 8/7*T^30 - 52/49*T^29 - 100/49*T^28 - 11/7*T^27 - 31/49*T^26 
        + 1/49*T^25 - 3/49*T^24 - 1/49*T^23 + 39/49*T^22 + 36/49*T^21 - 27/49*T^20 -
        53/49*T^19 - 13/49*T^18 + 43/49*T^17 + 65/49*T^16 + 43/49*T^15 - 13/49*T^14 
        - 53/49*T^13 - 27/49*T^12 + 36/49*T^11 + 39/49*T^10 - 1/49*T^9 - 3/49*T^8 + 
        1/49*T^7 - 31/49*T^6 - 11/7*T^5 - 100/49*T^4 - 52/49*T^3 + 8/7*T^2 + 15/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 
        3*X*Y^2 + 3*X*Y + Y^18 + 2*Y^17 + 3*Y^16 + 3*Y^15 + 5*Y^14 + 3*Y^12 + 4*Y^11
        + 3*Y^10 + 6*Y^8 + 2*Y^6 + 3*Y^5 + Y^4 + 2*Y^3 + 6*Y^2 + 6*Y + 1,
    -T^32 + 15/7*T^31 - 117/49*T^30 + 10/7*T^29 + T^28 - 152/49*T^27 + 181/49*T^26 -
        113/49*T^25 + 9/49*T^24 + 9/7*T^23 - 87/49*T^22 + T^21 - 3/49*T^20 - 
        13/49*T^19 - 2/49*T^17 + 2/49*T^15 + 13/49*T^13 + 3/49*T^12 - T^11 + 
        87/49*T^10 - 9/7*T^9 - 9/49*T^8 + 113/49*T^7 - 181/49*T^6 + 152/49*T^5 - T^4
        - 10/7*T^3 + 117/49*T^2 - 15/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 4*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + X*Y^3 + 3*X*Y^2 + 5*X*Y 
        + 4*X + 6*Y^18 + 6*Y^17 + 6*Y^16 + 4*Y^15 + 6*Y^14 + 4*Y^13 + 3*Y^12 + 
        5*Y^11 + 2*Y^10 + 3*Y^9 + Y^8 + 4*Y^7 + 3*Y^6 + 4*Y^5 + 5*Y^4 + 3*Y^3 + 
        5*Y^2 + 5*Y,
    T^32 + 3/7*T^31 - 4/7*T^30 - 6/49*T^29 + 8/49*T^28 + 4/7*T^27 + 18/49*T^26 - 
        16/49*T^25 - 17/49*T^24 - 1/7*T^23 + 27/49*T^22 + 47/49*T^21 - 10/49*T^20 - 
        22/49*T^19 + 12/49*T^18 + 27/49*T^17 + 27/49*T^16 + 27/49*T^15 + 12/49*T^14 
        - 22/49*T^13 - 10/49*T^12 + 47/49*T^11 + 27/49*T^10 - 1/7*T^9 - 17/49*T^8 - 
        16/49*T^7 + 18/49*T^6 + 4/7*T^5 + 8/49*T^4 - 6/49*T^3 - 4/7*T^2 + 3/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        4*X*Y^2 + 2*X*Y + 2*X + 3*Y^18 + 6*Y^17 + 5*Y^16 + 5*Y^12 + 2*Y^11 + 6*Y^10 
        + 2*Y^9 + 2*Y^8 + 4*Y^7 + Y^6 + Y^5 + 3*Y^4 + 5*Y^3 + 4*Y^2 + 1,
    -T^32 - 3/7*T^31 + 60/49*T^30 - 19/49*T^29 - 23/49*T^28 + 61/49*T^27 + 
        26/49*T^26 - 39/49*T^25 - 2/7*T^24 + 36/49*T^23 - 44/49*T^22 - 41/49*T^21 + 
        34/49*T^20 - 10/49*T^19 - 4/49*T^18 + 22/49*T^17 - 22/49*T^15 + 4/49*T^14 + 
        10/49*T^13 - 34/49*T^12 + 41/49*T^11 + 44/49*T^10 - 36/49*T^9 + 2/7*T^8 + 
        39/49*T^7 - 26/49*T^6 - 61/49*T^5 + 23/49*T^4 + 19/49*T^3 - 60/49*T^2 + 
        3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + X*Y^2 + 4*X*Y + 
        6*Y^18 + 2*Y^17 + 3*Y^16 + 3*Y^15 + 5*Y^13 + 2*Y^12 + 6*Y^11 + 2*Y^10 + Y^9 
        + 3*Y^8 + Y^7 + Y^6 + 2*Y^5 + 2*Y^3 + 5*Y^2 + Y + 5,
    T^32 + 12/7*T^31 + 12/49*T^30 - 83/49*T^29 - 2*T^28 - T^27 - 5/49*T^26 - 
        4/49*T^24 + 30/49*T^23 + 92/49*T^22 + 117/49*T^21 + 47/49*T^20 - 69/49*T^19 
        - 99/49*T^18 - 29/49*T^17 + 2/7*T^16 - 29/49*T^15 - 99/49*T^14 - 69/49*T^13 
        + 47/49*T^12 + 117/49*T^11 + 92/49*T^10 + 30/49*T^9 - 4/49*T^8 - 5/49*T^6 - 
        T^5 - 2*T^4 - 83/49*T^3 + 12/49*T^2 + 12/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + X*Y^6 + 6*X*Y^4 + 4*Y^18 + 4*Y^17 + 5*Y^16 + 
        5*Y^15 + 6*Y^14 + 6*Y^12 + 4*Y^11 + Y^10 + 6*Y^8 + 6*Y^6 + 3*Y^5 + 5*Y^4 + 
        6*Y^3 + 2*Y^2 + 5,
    -T^32 - 6/7*T^31 + 19/49*T^30 + 66/49*T^29 - 11/49*T^28 - 44/49*T^27 + 
        12/49*T^26 + 60/49*T^25 + 9/49*T^24 - 36/49*T^23 - 31/49*T^22 + 4/49*T^21 + 
        31/49*T^20 + 24/49*T^19 - 18/49*T^18 - 6/7*T^17 + 6/7*T^15 + 18/49*T^14 - 
        24/49*T^13 - 31/49*T^12 - 4/49*T^11 + 31/49*T^10 + 36/49*T^9 - 9/49*T^8 - 
        60/49*T^7 - 12/49*T^6 + 44/49*T^5 + 11/49*T^4 - 66/49*T^3 - 19/49*T^2 + 
        6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 
        6*X*Y + Y^18 + 6*Y^17 + 2*Y^16 + 6*Y^15 + 4*Y^14 + 2*Y^13 + 3*Y^12 + 5*Y^11 
        + 4*Y^10 + 5*Y^9 + 6*Y^8 + 6*Y^7 + Y^4 + 4*Y^3 + Y^2 + 3,
    -T^32 + 9/7*T^31 - 54/49*T^29 + 51/49*T^28 - 16/49*T^27 - 8/49*T^26 - 4/49*T^25 
        + 20/49*T^24 - 17/49*T^23 + 9/49*T^22 + 18/49*T^21 - 50/49*T^20 + 54/49*T^19
        - 11/49*T^18 - 18/49*T^17 + 18/49*T^15 + 11/49*T^14 - 54/49*T^13 + 
        50/49*T^12 - 18/49*T^11 - 9/49*T^10 + 17/49*T^9 - 20/49*T^8 + 4/49*T^7 + 
        8/49*T^6 + 16/49*T^5 - 51/49*T^4 + 54/49*T^3 - 9/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        3*X*Y^2 + 5*X*Y + 5*X + 3*Y^18 + 6*Y^17 + 6*Y^16 + 3*Y^15 + 2*Y^14 + 2*Y^12 
        + 4*Y^11 + 5*Y^10 + Y^9 + 5*Y^8 + 3*Y^7 + 5*Y^6 + 6*Y^5 + 4*Y^4 + 4*Y^3 + 
        2*Y^2 + Y + 3,
    -T^32 + 22/49*T^30 + 2/49*T^29 + 5/49*T^28 - 5/7*T^27 + 1/49*T^26 + 40/49*T^25 +
        15/49*T^24 - 1/7*T^23 - 47/49*T^22 - 9/49*T^21 + 53/49*T^20 + 10/49*T^19 - 
        15/49*T^18 - 51/49*T^17 + 51/49*T^15 + 15/49*T^14 - 10/49*T^13 - 53/49*T^12 
        + 9/49*T^11 + 47/49*T^10 + 1/7*T^9 - 15/49*T^8 - 40/49*T^7 - 1/49*T^6 + 
        5/7*T^5 - 5/49*T^4 - 2/49*T^3 - 22/49*T^2 + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + X*Y^3 + 6*X*Y^2 
        + 6*X*Y + 4*X + 3*Y^18 + 4*Y^17 + 4*Y^16 + Y^15 + 6*Y^14 + Y^13 + 4*Y^12 + 
        3*Y^11 + Y^10 + 3*Y^9 + 6*Y^8 + 4*Y^7 + 4*Y^6 + 5*Y^4 + 4*Y^3 + 2*Y^2 + 6,
    -T^32 + 10/7*T^31 - 11/49*T^30 - 71/49*T^29 + 55/49*T^28 + 13/49*T^27 - 
        16/49*T^26 - 23/49*T^25 + 44/49*T^24 - 25/49*T^23 + 10/49*T^22 + 39/49*T^21 
        - 69/49*T^20 + 58/49*T^19 + 8/49*T^18 - 25/49*T^17 + 25/49*T^15 - 8/49*T^14 
        - 58/49*T^13 + 69/49*T^12 - 39/49*T^11 - 10/49*T^10 + 25/49*T^9 - 44/49*T^8 
        + 23/49*T^7 + 16/49*T^6 - 13/49*T^5 - 55/49*T^4 + 71/49*T^3 + 11/49*T^2 - 
        10/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + X*Y^7 + 4*X*Y^5 + 2*X*Y^4 + X*Y^3 + 4*X*Y^2 + 3*X*Y + 5*Y^18 + 
        2*Y^17 + 2*Y^16 + 6*Y^15 + 3*Y^14 + Y^13 + Y^12 + 2*Y^11 + 5*Y^10 + 5*Y^9 + 
        3*Y^8 + 4*Y^7 + 5*Y^5 + Y^4 + 4*Y^3 + 6*Y + 1,
    -T^32 + 3/7*T^31 + 66/49*T^30 - T^29 - 46/49*T^28 + T^27 + 8/7*T^26 - 78/49*T^25
        - 29/49*T^24 + 88/49*T^23 + 1/7*T^22 - 71/49*T^21 - 12/49*T^20 + 2*T^19 - 
        10/49*T^18 - 85/49*T^17 + 85/49*T^15 + 10/49*T^14 - 2*T^13 + 12/49*T^12 + 
        71/49*T^11 - 1/7*T^10 - 88/49*T^9 + 29/49*T^8 + 78/49*T^7 - 8/7*T^6 - T^5 + 
        46/49*T^4 + T^3 - 66/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 5*X*Y^2 + X*Y 
        + 3*X + 6*Y^18 + 6*Y^17 + 5*Y^15 + 4*Y^14 + 5*Y^13 + 5*Y^12 + 3*Y^11 + 
        4*Y^10 + Y^9 + Y^8 + 5*Y^7 + 4*Y^6 + 4*Y^5 + 3*Y^4 + 6*Y^3 + 2*Y^2 + 4*Y + 
        6,
    T^32 + 8/7*T^31 + 6/7*T^30 + 52/49*T^29 + 48/49*T^28 + 47/49*T^27 + 24/49*T^26 +
        44/49*T^25 + 15/49*T^24 - 24/49*T^23 + 15/49*T^22 + 3/49*T^21 - 9/49*T^20 - 
        30/49*T^19 - 13/49*T^18 + 6/49*T^17 - 25/49*T^16 + 6/49*T^15 - 13/49*T^14 - 
        30/49*T^13 - 9/49*T^12 + 3/49*T^11 + 15/49*T^10 - 24/49*T^9 + 15/49*T^8 + 
        44/49*T^7 + 24/49*T^6 + 47/49*T^5 + 48/49*T^4 + 52/49*T^3 + 6/7*T^2 + 8/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 5*X*Y^6 + X*Y^5 + 3*X*Y^4 + X*Y^3 + 2*X*Y^2 + 6*X*Y + 
        3*X + 5*Y^18 + 3*Y^16 + 6*Y^15 + 3*Y^14 + 3*Y^13 + 5*Y^12 + 5*Y^11 + 5*Y^10 
        + 4*Y^9 + 5*Y^8 + 3*Y^7 + 3*Y^5 + Y^4 + 2*Y^3 + 4*Y^2 + 5*Y + 1,
    -T^32 + 8/7*T^31 - 24/49*T^30 - 10/49*T^29 - 2/49*T^28 - 13/49*T^27 - 15/49*T^26
        + 30/49*T^25 - 8/49*T^24 + 4/49*T^23 - 27/49*T^22 + 15/49*T^21 + 2/7*T^20 + 
        11/49*T^19 - 4/7*T^18 + 18/49*T^17 - 18/49*T^15 + 4/7*T^14 - 11/49*T^13 - 
        2/7*T^12 - 15/49*T^11 + 27/49*T^10 - 4/49*T^9 + 8/49*T^8 - 30/49*T^7 + 
        15/49*T^6 + 13/49*T^5 + 2/49*T^4 + 10/49*T^3 + 24/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 5*X*Y^7 + X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 4*X*Y 
        + 4*X + 5*Y^18 + 6*Y^17 + 6*Y^16 + 3*Y^15 + 2*Y^14 + 4*Y^12 + 3*Y^11 + Y^10 
        + 5*Y^8 + 3*Y^7 + 5*Y^6 + 3*Y^5 + 4*Y^4 + 2*Y^3 + 6*Y^2 + 1,
    T^32 + 1/7*T^31 - 16/49*T^30 - 17/49*T^29 - 1/49*T^28 - 29/49*T^27 + 25/49*T^26 
        + 8/49*T^25 + 3/49*T^24 - 8/49*T^23 + 5/49*T^22 - 11/49*T^21 - 6/49*T^20 - 
        5/49*T^19 + 6/49*T^18 + 1/49*T^17 - 13/49*T^16 + 1/49*T^15 + 6/49*T^14 - 
        5/49*T^13 - 6/49*T^12 - 11/49*T^11 + 5/49*T^10 - 8/49*T^9 + 3/49*T^8 + 
        8/49*T^7 + 25/49*T^6 - 29/49*T^5 - 1/49*T^4 - 17/49*T^3 - 16/49*T^2 + 1/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^7 + 4*X*Y^6 + X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 3*X*Y 
        + X + Y^18 + 2*Y^17 + 2*Y^16 + Y^15 + 5*Y^14 + 4*Y^13 + 2*Y^12 + 2*Y^11 + 
        Y^10 + 6*Y^9 + 3*Y^8 + 6*Y^6 + Y^5 + 6*Y^4 + Y^2 + 3*Y,
    -T^32 - 4/7*T^31 + 19/49*T^30 - 31/49*T^29 + 19/49*T^28 + 44/49*T^27 - 
        13/49*T^26 + 40/49*T^25 + 52/49*T^24 - 5/49*T^23 - 13/49*T^22 + 4/49*T^21 - 
        38/49*T^20 - 39/49*T^19 + 3/49*T^18 - 44/49*T^17 + 44/49*T^15 - 3/49*T^14 + 
        39/49*T^13 + 38/49*T^12 - 4/49*T^11 + 13/49*T^10 + 5/49*T^9 - 52/49*T^8 - 
        40/49*T^7 + 13/49*T^6 - 44/49*T^5 - 19/49*T^4 + 31/49*T^3 - 19/49*T^2 + 
        4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 4*X*Y^5 + 6*X*Y^4 + X*Y^2 + 5*X + 3*Y^18 + 
        5*Y^17 + 2*Y^16 + 2*Y^15 + 2*Y^14 + 6*Y^13 + Y^12 + 4*Y^10 + Y^9 + 6*Y^8 + 
        6*Y^7 + 6*Y^6 + 4*Y^5 + 4*Y^4 + 2*Y^3 + Y^2 + 4*Y + 1,
    -T^32 + T^31 - 13/49*T^30 - 8/49*T^29 + 67/49*T^28 - 47/49*T^27 + 40/49*T^26 - 
        11/49*T^25 - 55/49*T^24 + 36/49*T^23 - 27/49*T^22 - 2/7*T^21 + 27/49*T^20 + 
        10/49*T^19 - 3/49*T^18 + 11/49*T^17 - 11/49*T^15 + 3/49*T^14 - 10/49*T^13 - 
        27/49*T^12 + 2/7*T^11 + 27/49*T^10 - 36/49*T^9 + 55/49*T^8 + 11/49*T^7 - 
        40/49*T^6 + 47/49*T^5 - 67/49*T^4 + 8/49*T^3 + 13/49*T^2 - T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        6*X*Y^2 + 2*X*Y + 3*X + 5*Y^18 + 2*Y^15 + 4*Y^14 + 6*Y^13 + 3*Y^12 + 6*Y^11 
        + 6*Y^10 + Y^9 + 2*Y^7 + 5*Y^6 + Y^4 + 4*Y^2 + 5,
    T^32 - 3/7*T^31 + 9/49*T^30 - 32/49*T^29 + 9/49*T^28 - 39/49*T^27 - 5/49*T^26 - 
        3/49*T^25 + T^24 - 8/49*T^23 + 39/49*T^22 - 20/49*T^21 + 15/49*T^20 - 
        32/49*T^19 + 5/49*T^18 - 10/49*T^17 + 6/49*T^16 - 10/49*T^15 + 5/49*T^14 - 
        32/49*T^13 + 15/49*T^12 - 20/49*T^11 + 39/49*T^10 - 8/49*T^9 + T^8 - 
        3/49*T^7 - 5/49*T^6 - 39/49*T^5 + 9/49*T^4 - 32/49*T^3 + 9/49*T^2 - 3/7*T + 
        1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + X*Y^6 + 4*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 2*X*Y 
        + 2*X + 4*Y^18 + 4*Y^17 + 2*Y^16 + Y^15 + 6*Y^14 + 2*Y^13 + 2*Y^12 + Y^11 + 
        5*Y^10 + 4*Y^9 + 2*Y^8 + 3*Y^7 + Y^5 + 5*Y^4 + 3*Y^3 + 6*Y^2 + 5*Y + 6,
    -T^32 - 15/7*T^31 - 129/49*T^30 - 134/49*T^29 - 135/49*T^28 - 152/49*T^27 - 
        183/49*T^26 - 230/49*T^25 - 242/49*T^24 - 223/49*T^23 - 220/49*T^22 - 
        188/49*T^21 - 145/49*T^20 - 18/7*T^19 - 96/49*T^18 - T^17 + T^15 + 
        96/49*T^14 + 18/7*T^13 + 145/49*T^12 + 188/49*T^11 + 220/49*T^10 + 
        223/49*T^9 + 242/49*T^8 + 230/49*T^7 + 183/49*T^6 + 152/49*T^5 + 135/49*T^4 
        + 134/49*T^3 + 129/49*T^2 + 15/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 
        2*X*Y^2 + 3*X*Y + 6*X + 3*Y^18 + Y^16 + 2*Y^15 + 4*Y^14 + 5*Y^13 + 4*Y^12 + 
        6*Y^11 + 5*Y^10 + Y^9 + 6*Y^8 + 5*Y^7 + 5*Y^6 + 4*Y^5 + 2*Y^3 + 4*Y + 3,
    T^32 - 6/7*T^31 - 3/7*T^30 + 25/49*T^29 + 1/49*T^28 - 11/49*T^27 - 1/7*T^26 + 
        3/7*T^25 + 2/7*T^24 - 17/49*T^23 + 5/49*T^22 + 16/49*T^21 - 38/49*T^20 - 
        13/49*T^19 + 17/49*T^18 + 24/49*T^17 - 30/49*T^16 + 24/49*T^15 + 17/49*T^14 
        - 13/49*T^13 - 38/49*T^12 + 16/49*T^11 + 5/49*T^10 - 17/49*T^9 + 2/7*T^8 + 
        3/7*T^7 - 1/7*T^6 - 11/49*T^5 + 1/49*T^4 + 25/49*T^3 - 3/7*T^2 - 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 6*X*Y^4 + 4*X*Y^3 + 3*X*Y + 3*X + 
        Y^18 + 2*Y^17 + Y^16 + 2*Y^15 + 4*Y^14 + 5*Y^12 + 5*Y^11 + 6*Y^10 + 3*Y^9 + 
        Y^8 + 2*Y^7 + 2*Y^6 + 5*Y^5 + Y^4 + 6*Y^3 + Y^2 + 6*Y + 3,
    -T^32 + 43/49*T^30 + 23/49*T^29 + 36/49*T^28 - 29/49*T^27 - 38/49*T^26 - 
        2/49*T^25 - 5/49*T^24 - 1/49*T^23 + 3/7*T^22 + 26/49*T^21 + 2/49*T^20 - 
        25/49*T^19 - 13/49*T^18 - 26/49*T^17 + 26/49*T^15 + 13/49*T^14 + 25/49*T^13 
        - 2/49*T^12 - 26/49*T^11 - 3/7*T^10 + 1/49*T^9 + 5/49*T^8 + 2/49*T^7 + 
        38/49*T^6 + 29/49*T^5 - 36/49*T^4 - 23/49*T^3 - 43/49*T^2 + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + X*Y^7 + 5*X*Y^6 + X*Y^5 + X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + 
        X + 4*Y^18 + 3*Y^17 + 5*Y^15 + 4*Y^14 + 2*Y^13 + 5*Y^12 + 5*Y^11 + 2*Y^10 + 
        3*Y^9 + 3*Y^8 + 6*Y^7 + 5*Y^6 + Y^5 + 3*Y^4 + 4*Y^3 + 5*Y^2 + Y + 4,
    -T^32 + 2/7*T^31 + 10/49*T^30 + 6/49*T^29 - 9/49*T^27 + 33/49*T^26 - 2/49*T^25 -
        6/49*T^24 + 26/49*T^23 + 1/49*T^22 - 4/49*T^21 - 19/49*T^20 + 2/7*T^19 - 
        2/49*T^18 - 19/49*T^17 + 19/49*T^15 + 2/49*T^14 - 2/7*T^13 + 19/49*T^12 + 
        4/49*T^11 - 1/49*T^10 - 26/49*T^9 + 6/49*T^8 + 2/49*T^7 - 33/49*T^6 + 
        9/49*T^5 - 6/49*T^3 - 10/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 6*X*Y + X + 5*Y^18 + 
        6*Y^17 + Y^16 + 5*Y^15 + 6*Y^14 + Y^13 + 4*Y^12 + 5*Y^11 + 4*Y^10 + 4*Y^9 + 
        Y^8 + 2*Y^7 + 6*Y^6 + 4*Y^5 + 4*Y^4 + Y^3 + Y^2 + 6*Y,
    -T^32 - 5/7*T^31 - 5/49*T^30 + 37/49*T^29 + 55/49*T^28 + 4/7*T^27 - 37/49*T^26 -
        74/49*T^25 - 32/49*T^24 + 6/49*T^23 + 57/49*T^22 + 61/49*T^21 + 15/49*T^20 -
        33/49*T^19 - 55/49*T^18 - 6/7*T^17 + 6/7*T^15 + 55/49*T^14 + 33/49*T^13 - 
        15/49*T^12 - 61/49*T^11 - 57/49*T^10 - 6/49*T^9 + 32/49*T^8 + 74/49*T^7 + 
        37/49*T^6 - 4/7*T^5 - 55/49*T^4 - 37/49*T^3 + 5/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + 
        4*X*Y + 4*X + 5*Y^18 + 3*Y^17 + Y^16 + 3*Y^15 + 2*Y^14 + 2*Y^13 + Y^10 + 
        3*Y^9 + 6*Y^8 + 5*Y^6 + Y^5 + Y^4 + 4*Y^3 + 3*Y^2 + 3,
    -T^32 - 13/7*T^31 - 94/49*T^30 - 22/49*T^29 + 34/49*T^28 + 50/49*T^27 + 
        1/49*T^26 - 3/7*T^25 - 18/49*T^24 + 11/49*T^23 + 22/49*T^22 + 23/49*T^21 + 
        8/49*T^20 - 3/49*T^19 - 3/49*T^18 + 3/49*T^17 - 3/49*T^15 + 3/49*T^14 + 
        3/49*T^13 - 8/49*T^12 - 23/49*T^11 - 22/49*T^10 - 11/49*T^9 + 18/49*T^8 + 
        3/7*T^7 - 1/49*T^6 - 50/49*T^5 - 34/49*T^4 + 22/49*T^3 + 94/49*T^2 + 13/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + X*Y^3 + 2*X*Y + 
        2*X + 4*Y^18 + 6*Y^17 + 4*Y^14 + 2*Y^13 + 4*Y^12 + 6*Y^11 + 5*Y^10 + 3*Y^9 +
        5*Y^8 + 3*Y^7 + 2*Y^5 + Y^4 + 4*Y^3 + 4*Y^2 + 6*Y + 3,
    -T^32 + 5/7*T^31 - 48/49*T^30 + 24/49*T^29 - 15/49*T^28 + 54/49*T^27 - 
        24/49*T^26 + 37/49*T^25 + 6/49*T^24 - 1/7*T^23 + 3/49*T^22 + 10/49*T^20 - 
        13/49*T^19 + 13/49*T^18 - 13/49*T^14 + 13/49*T^13 - 10/49*T^12 - 3/49*T^10 +
        1/7*T^9 - 6/49*T^8 - 37/49*T^7 + 24/49*T^6 - 54/49*T^5 + 15/49*T^4 - 
        24/49*T^3 + 48/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + X*Y^4 + 6*X*Y + X + 2*Y^18
        + Y^17 + 3*Y^16 + 6*Y^15 + 6*Y^14 + 3*Y^13 + 3*Y^12 + 4*Y^11 + 5*Y^10 + 
        6*Y^9 + 3*Y^8 + 2*Y^7 + 3*Y^5 + 2*Y^4 + 3*Y^3 + 2*Y^2 + 4*Y,
    T^32 - 9/7*T^31 - 11/49*T^30 + 20/49*T^29 + 20/49*T^28 - 5/49*T^27 - 1/49*T^26 -
        3/7*T^25 - 6/49*T^24 + 3/7*T^23 + 22/49*T^22 - 41/49*T^21 - 11/49*T^20 + 
        43/49*T^19 - 2/49*T^18 - 10/49*T^17 - 1/7*T^16 - 10/49*T^15 - 2/49*T^14 + 
        43/49*T^13 - 11/49*T^12 - 41/49*T^11 + 22/49*T^10 + 3/7*T^9 - 6/49*T^8 - 
        3/7*T^7 - 1/49*T^6 - 5/49*T^5 + 20/49*T^4 + 20/49*T^3 - 11/49*T^2 - 9/7*T + 
        1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 6*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 5*X*Y^2 + 6*X*Y + 3*Y^18
        + Y^17 + 2*Y^16 + 3*Y^14 + 3*Y^13 + 6*Y^12 + 6*Y^11 + 5*Y^10 + 3*Y^9 + 5*Y^7
        + Y^6 + 2*Y^5 + 2*Y^4 + 6*Y^3 + 2*Y^2 + Y + 1,
    T^32 - 2*T^31 + 11/7*T^30 - T^29 + 34/49*T^28 - 17/49*T^27 + 19/49*T^26 - 
        20/49*T^25 + 1/7*T^24 + 36/49*T^23 - 8/7*T^22 + 41/49*T^21 - 44/49*T^20 + 
        31/49*T^19 - 33/49*T^18 + 76/49*T^17 - 97/49*T^16 + 76/49*T^15 - 33/49*T^14 
        + 31/49*T^13 - 44/49*T^12 + 41/49*T^11 - 8/7*T^10 + 36/49*T^9 + 1/7*T^8 - 
        20/49*T^7 + 19/49*T^6 - 17/49*T^5 + 34/49*T^4 - T^3 + 11/7*T^2 - 2*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 2*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 
        4*X*Y + 6*Y^18 + 2*Y^17 + 3*Y^16 + 6*Y^14 + 2*Y^13 + Y^12 + Y^10 + 5*Y^9 + 
        4*Y^8 + 3*Y^7 + 4*Y^6 + Y^5 + 4*Y^4 + Y^3 + Y^2 + 5*Y + 2,
    T^32 + 6/7*T^31 + 11/49*T^30 - 23/49*T^29 - 54/49*T^28 - 5/7*T^27 - 33/49*T^26 +
        2/49*T^25 - 6/49*T^24 - 6/49*T^23 - 20/49*T^22 - 3/7*T^21 - 15/49*T^20 - 
        2/7*T^19 + 33/49*T^18 + 55/49*T^17 + 74/49*T^16 + 55/49*T^15 + 33/49*T^14 - 
        2/7*T^13 - 15/49*T^12 - 3/7*T^11 - 20/49*T^10 - 6/49*T^9 - 6/49*T^8 + 
        2/49*T^7 - 33/49*T^6 - 5/7*T^5 - 54/49*T^4 - 23/49*T^3 + 11/49*T^2 + 6/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + X*Y^2 + 4*X*Y 
        + 5*X + 2*Y^18 + 6*Y^17 + 6*Y^16 + 4*Y^15 + 5*Y^13 + 5*Y^12 + 6*Y^11 + 
        2*Y^10 + 2*Y^9 + 5*Y^8 + 3*Y^7 + 5*Y^6 + 5*Y^5 + 5*Y^4 + 2*Y^3 + 5*Y^2 + 3*Y
        + 1,
    -T^32 + 2/7*T^31 - 1/7*T^30 + 18/49*T^29 + 37/49*T^28 - 13/49*T^27 + 31/49*T^26 
        - 29/49*T^25 - 25/49*T^24 - 2/7*T^23 - 6/49*T^22 + 5/49*T^21 + 23/49*T^20 - 
        2/49*T^19 + 16/49*T^18 - 5/49*T^17 + 5/49*T^15 - 16/49*T^14 + 2/49*T^13 - 
        23/49*T^12 - 5/49*T^11 + 6/49*T^10 + 2/7*T^9 + 25/49*T^8 + 29/49*T^7 - 
        31/49*T^6 + 13/49*T^5 - 37/49*T^4 - 18/49*T^3 + 1/7*T^2 - 2/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 
        4*X*Y + 3*X + Y^18 + 3*Y^16 + Y^15 + 6*Y^14 + Y^12 + Y^11 + 2*Y^10 + 3*Y^9 +
        6*Y^8 + Y^7 + Y^6 + Y^5 + 5*Y^4 + 3*Y^3 + 2*Y^2 + Y + 2,
    -T^32 + 13/7*T^31 - 100/49*T^30 + 46/49*T^29 + 11/49*T^28 - 10/49*T^27 - 
        5/7*T^26 + 43/49*T^25 + 4/49*T^24 - 34/49*T^23 + 1/7*T^22 + 44/49*T^21 - 
        72/49*T^20 + 39/49*T^19 + 1/49*T^18 - 10/49*T^17 + 10/49*T^15 - 1/49*T^14 - 
        39/49*T^13 + 72/49*T^12 - 44/49*T^11 - 1/7*T^10 + 34/49*T^9 - 4/49*T^8 - 
        43/49*T^7 + 5/7*T^6 + 10/49*T^5 - 11/49*T^4 - 46/49*T^3 + 100/49*T^2 - 
        13/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 5*X*Y^2 + 
        2*X*Y + 2*X + 6*Y^18 + 5*Y^17 + 3*Y^16 + Y^15 + Y^14 + 2*Y^13 + 2*Y^11 + 
        6*Y^10 + 2*Y^9 + Y^8 + 2*Y^7 + 2*Y^6 + 4*Y^5 + 4*Y^4 + 2*Y^3 + 5*Y^2 + 4*Y,
    T^32 - 6/7*T^31 + 5/49*T^30 + 25/49*T^29 - 18/49*T^28 - 10/49*T^27 + 11/49*T^26 
        + 4/49*T^25 - 15/49*T^24 + 4/7*T^23 - 36/49*T^22 + 16/49*T^21 + 20/49*T^20 -
        20/49*T^19 + 1/7*T^18 + 11/49*T^17 - 6/49*T^16 + 11/49*T^15 + 1/7*T^14 - 
        20/49*T^13 + 20/49*T^12 + 16/49*T^11 - 36/49*T^10 + 4/7*T^9 - 15/49*T^8 + 
        4/49*T^7 + 11/49*T^6 - 10/49*T^5 - 18/49*T^4 + 25/49*T^3 + 5/49*T^2 - 6/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 6*X*Y^3 + 5*X*Y^2 + 3*X*Y + 2*X + 
        3*Y^18 + 5*Y^17 + 2*Y^15 + 4*Y^14 + 3*Y^13 + 6*Y^12 + Y^11 + 6*Y^10 + Y^9 + 
        4*Y^7 + 2*Y^6 + Y^5 + 2*Y^4 + 2*Y^3 + 5*Y^2 + 6*Y + 4,
    -T^32 + 3/7*T^31 + 24/49*T^30 - 37/49*T^29 + 38/49*T^28 + 3/7*T^27 - 17/49*T^26 
        + 3/7*T^25 + 5/49*T^24 - 36/49*T^23 + 13/49*T^22 + 16/49*T^21 - 29/49*T^20 -
        26/49*T^19 + 26/49*T^18 - 20/49*T^17 + 20/49*T^15 - 26/49*T^14 + 26/49*T^13 
        + 29/49*T^12 - 16/49*T^11 - 13/49*T^10 + 36/49*T^9 - 5/49*T^8 - 3/7*T^7 + 
        17/49*T^6 - 3/7*T^5 - 38/49*T^4 + 37/49*T^3 - 24/49*T^2 - 3/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 5*X*Y^5 + 5*X*Y^4 + X*Y^3 + 2*X*Y^2 + X*Y + 
        2*Y^18 + 3*Y^15 + 4*Y^14 + 3*Y^13 + 2*Y^12 + 5*Y^11 + 3*Y^10 + 4*Y^8 + 4*Y^7
        + 3*Y^5 + 4*Y^4 + 3*Y^3 + Y^2 + Y + 5,
    T^32 + 8/7*T^31 + 3/49*T^30 + 26/49*T^29 + 31/49*T^28 - 22/49*T^27 - 8/49*T^26 -
        12/49*T^25 - 57/49*T^24 - 32/49*T^23 - 26/49*T^22 - 44/49*T^21 - 5/49*T^20 +
        13/49*T^19 + 10/49*T^18 + 25/49*T^17 + 5/7*T^16 + 25/49*T^15 + 10/49*T^14 + 
        13/49*T^13 - 5/49*T^12 - 44/49*T^11 - 26/49*T^10 - 32/49*T^9 - 57/49*T^8 - 
        12/49*T^7 - 8/49*T^6 - 22/49*T^5 + 31/49*T^4 + 26/49*T^3 + 3/49*T^2 + 8/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^6 + X*Y^5 + 4*X*Y^4 + X*Y^3 + 3*X*Y^2 + 3*X*Y + 5*X + 5*Y^18
        + 5*Y^17 + Y^15 + 2*Y^14 + Y^13 + 2*Y^12 + 2*Y^11 + 2*Y^10 + 4*Y^9 + 4*Y^8 +
        6*Y^7 + 6*Y^6 + 3*Y^5 + 2*Y^4 + 5*Y^3 + 4*Y^2 + 6*Y + 4,
    T^32 - 3/7*T^31 - 66/49*T^30 + 92/49*T^29 + 30/49*T^28 - 135/49*T^27 + 
        41/49*T^26 + 76/49*T^25 - 12/7*T^24 + 9/49*T^23 + 31/49*T^22 - 41/49*T^21 + 
        39/49*T^20 + 4/7*T^19 - 8/7*T^18 + 52/49*T^16 - 8/7*T^14 + 4/7*T^13 + 
        39/49*T^12 - 41/49*T^11 + 31/49*T^10 + 9/49*T^9 - 12/7*T^8 + 76/49*T^7 + 
        41/49*T^6 - 135/49*T^5 + 30/49*T^4 + 92/49*T^3 - 66/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 
        2*X*Y^2 + 2*X*Y + 2*X + 6*Y^18 + 5*Y^17 + 5*Y^16 + 3*Y^15 + 3*Y^14 + 3*Y^13 
        + 2*Y^12 + 6*Y^11 + 2*Y^10 + 2*Y^9 + 2*Y^8 + 2*Y^7 + Y^6 + 6*Y^5 + Y^4 + 
        5*Y^3 + Y^2 + 5*Y + 4,
    T^32 + 5/7*T^31 + 24/49*T^30 + 29/49*T^29 - 10/49*T^28 - 22/49*T^26 - 1/7*T^25 -
        12/49*T^24 - 2/7*T^23 - 2/7*T^22 - 12/49*T^21 + 3/7*T^20 + 9/49*T^19 - 
        1/7*T^18 - 20/49*T^17 - 17/49*T^16 - 20/49*T^15 - 1/7*T^14 + 9/49*T^13 + 
        3/7*T^12 - 12/49*T^11 - 2/7*T^10 - 2/7*T^9 - 12/49*T^8 - 1/7*T^7 - 22/49*T^6
        - 10/49*T^4 + 29/49*T^3 + 24/49*T^2 + 5/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 5*X*Y + 6*X + 
        6*Y^18 + 5*Y^15 + 2*Y^14 + Y^13 + 5*Y^12 + 3*Y^10 + 5*Y^9 + 4*Y^8 + 2*Y^7 + 
        3*Y^6 + 5*Y^5 + 4*Y^2 + 6*Y + 3,
    T^32 + 11/7*T^31 + 34/49*T^30 + 4/49*T^29 - 12/49*T^28 - 54/49*T^27 - 
        108/49*T^26 - 83/49*T^25 - 3/49*T^24 + 10/49*T^23 - 4/7*T^22 - 4/49*T^21 + 
        60/49*T^20 + 27/49*T^19 - 25/49*T^18 + 25/49*T^17 + 71/49*T^16 + 25/49*T^15 
        - 25/49*T^14 + 27/49*T^13 + 60/49*T^12 - 4/49*T^11 - 4/7*T^10 + 10/49*T^9 - 
        3/49*T^8 - 83/49*T^7 - 108/49*T^6 - 54/49*T^5 - 12/49*T^4 + 4/49*T^3 + 
        34/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + X*Y^7 + 5*X*Y^6 + X*Y^5 + 4*X*Y^3 + 2*X*Y^2 + 4*X*Y + 
        3*X + 5*Y^18 + Y^17 + 5*Y^16 + 5*Y^15 + 2*Y^14 + 3*Y^13 + 4*Y^12 + 4*Y^11 + 
        Y^10 + 6*Y^8 + 3*Y^7 + 5*Y^6 + 5*Y^5 + 4*Y^4 + Y^3 + Y^2 + 3*Y + 5,
    -T^32 - 15/7*T^31 - 24/49*T^30 + 116/49*T^29 + 109/49*T^28 + 1/7*T^27 + 
        33/49*T^25 - T^24 - 23/7*T^23 - 141/49*T^22 - 18/49*T^21 + 94/49*T^20 + 
        22/7*T^19 + 132/49*T^18 + 54/49*T^17 - 54/49*T^15 - 132/49*T^14 - 22/7*T^13 
        - 94/49*T^12 + 18/49*T^11 + 141/49*T^10 + 23/7*T^9 + T^8 - 33/49*T^7 - 
        1/7*T^5 - 109/49*T^4 - 116/49*T^3 + 24/49*T^2 + 15/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + X*Y^3 + X*Y^2 + 
        X*Y + 4*X + 4*Y^18 + 6*Y^15 + 3*Y^14 + 4*Y^12 + 5*Y^11 + 2*Y^9 + 4*Y^8 + 
        2*Y^7 + 5*Y^6 + 6*Y^5 + 4*Y^4 + 3*Y^2 + 1,
    T^32 + 15/7*T^31 + 61/49*T^30 - 8/49*T^29 + 2/7*T^28 + 92/49*T^27 + 85/49*T^26 -
        15/49*T^25 - T^24 + 3/7*T^23 + 57/49*T^22 - 27/49*T^21 - 96/49*T^20 - 
        36/49*T^19 + 17/49*T^18 - 6/7*T^17 - 95/49*T^16 - 6/7*T^15 + 17/49*T^14 - 
        36/49*T^13 - 96/49*T^12 - 27/49*T^11 + 57/49*T^10 + 3/7*T^9 - T^8 - 
        15/49*T^7 + 85/49*T^6 + 92/49*T^5 + 2/7*T^4 - 8/49*T^3 + 61/49*T^2 + 15/7*T 
        + 1
*], [*
    X^3 + X*Y^8 + X*Y^7 + 4*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 3*X + 3*Y^18 + 2*Y^17 + 
        3*Y^15 + 3*Y^14 + 4*Y^13 + 4*Y^12 + 3*Y^11 + 5*Y^10 + Y^9 + 2*Y^8 + Y^7 + 
        4*Y^6 + Y^4 + 5*Y^2 + 6*Y + 1,
    T^32 - 10/7*T^31 - 17/49*T^30 + 12/7*T^29 - 32/49*T^28 - 59/49*T^27 + 82/49*T^26
        - 18/49*T^25 - 46/49*T^24 + 52/49*T^23 - 3/7*T^22 - 25/49*T^21 + 32/49*T^20 
        + 1/49*T^19 - 16/49*T^18 + 27/49*T^17 - 6/7*T^16 + 27/49*T^15 - 16/49*T^14 +
        1/49*T^13 + 32/49*T^12 - 25/49*T^11 - 3/7*T^10 + 52/49*T^9 - 46/49*T^8 - 
        18/49*T^7 + 82/49*T^6 - 59/49*T^5 - 32/49*T^4 + 12/7*T^3 - 17/49*T^2 - 
        10/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + X*Y^7 + 4*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 4*X*Y + X + Y^18
        + 3*Y^16 + 5*Y^15 + Y^14 + 6*Y^13 + Y^12 + Y^11 + 6*Y^10 + 6*Y^9 + 3*Y^8 + 
        6*Y^7 + 3*Y^6 + Y^5 + 6*Y^4 + 2*Y^3 + Y + 4,
    T^32 - 12/7*T^31 + 22/49*T^30 + 34/49*T^29 - 18/49*T^28 - 32/49*T^27 + 
        23/49*T^26 + 48/49*T^25 - 32/49*T^24 - 37/49*T^23 + 15/49*T^22 + 47/49*T^21 
        - 5/7*T^20 - 26/49*T^19 + 38/49*T^18 + 47/49*T^17 - 114/49*T^16 + 47/49*T^15
        + 38/49*T^14 - 26/49*T^13 - 5/7*T^12 + 47/49*T^11 + 15/49*T^10 - 37/49*T^9 -
        32/49*T^8 + 48/49*T^7 + 23/49*T^6 - 32/49*T^5 - 18/49*T^4 + 34/49*T^3 + 
        22/49*T^2 - 12/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + X*Y^3 + 
        5*X*Y^2 + X*Y + 5*X + 4*Y^18 + 6*Y^16 + 6*Y^15 + Y^14 + 6*Y^13 + 6*Y^8 + 
        4*Y^7 + Y^6 + 5*Y^4 + 3*Y^3 + 5*Y^2 + 6*Y + 3,
    -T^32 - 4/7*T^31 + 2/7*T^30 + 3/7*T^29 - 37/49*T^28 - 38/49*T^27 - 16/49*T^26 - 
        10/49*T^25 - 4/7*T^24 - 10/49*T^23 + 6/49*T^22 - 4/7*T^21 - 53/49*T^20 - 
        22/49*T^19 + 4/7*T^18 + 5/7*T^17 - 5/7*T^15 - 4/7*T^14 + 22/49*T^13 + 
        53/49*T^12 + 4/7*T^11 - 6/49*T^10 + 10/49*T^9 + 4/7*T^8 + 10/49*T^7 + 
        16/49*T^6 + 38/49*T^5 + 37/49*T^4 - 3/7*T^3 - 2/7*T^2 + 4/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 3*X*Y^2 
        + X*Y + 5*X + 2*Y^18 + 6*Y^16 + 2*Y^15 + 2*Y^14 + 2*Y^13 + 4*Y^12 + 4*Y^9 + 
        Y^8 + 3*Y^7 + 5*Y^4 + 3*Y^3 + 5*Y^2 + Y + 1,
    T^32 - 5/7*T^31 - 3/7*T^30 + 79/49*T^29 - 100/49*T^28 + 24/49*T^27 + 65/49*T^26 
        - 118/49*T^25 + 95/49*T^24 + 16/49*T^23 - 88/49*T^22 + 12/7*T^21 - 
        36/49*T^20 - 38/49*T^19 + 6/7*T^18 - 6/49*T^17 + 1/49*T^16 - 6/49*T^15 + 
        6/7*T^14 - 38/49*T^13 - 36/49*T^12 + 12/7*T^11 - 88/49*T^10 + 16/49*T^9 + 
        95/49*T^8 - 118/49*T^7 + 65/49*T^6 + 24/49*T^5 - 100/49*T^4 + 79/49*T^3 - 
        3/7*T^2 - 5/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 
        3*X*Y^2 + 6*X*Y + 5*X + 5*Y^18 + 3*Y^16 + 4*Y^15 + 4*Y^13 + 4*Y^12 + 5*Y^10 
        + 2*Y^9 + 5*Y^8 + Y^7 + 4*Y^6 + 3*Y^5 + 3*Y^4 + 4*Y^3 + 2*Y^2 + 2*Y + 4,
    -T^32 - 4/7*T^31 - 8/49*T^30 + 33/49*T^29 + 10/49*T^28 - 8/49*T^27 - 16/49*T^26 
        - 2/49*T^25 + 22/49*T^24 - 19/49*T^23 - 24/49*T^22 - 6/49*T^21 + 39/49*T^20 
        + 29/49*T^19 - 8/49*T^18 - 25/49*T^17 + 25/49*T^15 + 8/49*T^14 - 29/49*T^13 
        - 39/49*T^12 + 6/49*T^11 + 24/49*T^10 + 19/49*T^9 - 22/49*T^8 + 2/49*T^7 + 
        16/49*T^6 + 8/49*T^5 - 10/49*T^4 - 33/49*T^3 + 8/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 6*X*Y^3 + 4*X*Y^2 + 6*X + 
        4*Y^18 + Y^17 + 4*Y^16 + 5*Y^15 + 4*Y^14 + 3*Y^13 + 4*Y^12 + 4*Y^11 + 4*Y^10
        + 3*Y^9 + 2*Y^8 + Y^7 + 3*Y^6 + Y^5 + 6*Y^4 + 5*Y^3 + 2*Y^2 + 4*Y,
    T^32 - 45/49*T^30 + 4/49*T^29 + 3/7*T^28 - 18/49*T^27 - 4/7*T^26 + 40/49*T^25 + 
        18/49*T^24 - 31/49*T^23 + 9/49*T^22 + 2/7*T^21 - 17/49*T^20 - 20/49*T^19 + 
        4/7*T^18 + 17/49*T^17 - 33/49*T^16 + 17/49*T^15 + 4/7*T^14 - 20/49*T^13 - 
        17/49*T^12 + 2/7*T^11 + 9/49*T^10 - 31/49*T^9 + 18/49*T^8 + 40/49*T^7 - 
        4/7*T^6 - 18/49*T^5 + 3/7*T^4 + 4/49*T^3 - 45/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + X*Y^3 + 
        2*X*Y^2 + X + 6*Y^18 + 5*Y^14 + 4*Y^13 + 3*Y^12 + 2*Y^11 + 5*Y^10 + 4*Y^9 + 
        6*Y^8 + 2*Y^7 + 4*Y^6 + 5*Y^5 + 3*Y^4 + 2*Y^3 + 5*Y^2 + 6,
    T^32 - 37/49*T^30 - 3/49*T^29 + 4/49*T^28 - 13/49*T^27 + 15/49*T^26 + 27/49*T^25
        - 29/49*T^24 + 9/49*T^23 + 1/49*T^22 - 2/49*T^21 + 12/49*T^20 + 5/49*T^19 + 
        6/49*T^18 - 16/49*T^17 + 8/49*T^16 - 16/49*T^15 + 6/49*T^14 + 5/49*T^13 + 
        12/49*T^12 - 2/49*T^11 + 1/49*T^10 + 9/49*T^9 - 29/49*T^8 + 27/49*T^7 + 
        15/49*T^6 - 13/49*T^5 + 4/49*T^4 - 3/49*T^3 - 37/49*T^2 + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 
        2*X*Y^2 + 3*X*Y + X + 6*Y^18 + 6*Y^17 + 5*Y^16 + 4*Y^15 + 6*Y^14 + 3*Y^11 + 
        2*Y^10 + 6*Y^8 + 3*Y^7 + 4*Y^6 + 3*Y^5 + 5*Y^4 + 3*Y^3 + 3*Y^2 + 1,
    -T^32 - 16/7*T^31 - 2*T^30 - 75/49*T^29 - 13/7*T^28 - 67/49*T^27 + 4/7*T^26 + 
        15/7*T^25 + 122/49*T^24 + 148/49*T^23 + 181/49*T^22 + 150/49*T^21 + 
        92/49*T^20 + 53/49*T^19 + 24/49*T^18 + 12/49*T^17 - 12/49*T^15 - 24/49*T^14 
        - 53/49*T^13 - 92/49*T^12 - 150/49*T^11 - 181/49*T^10 - 148/49*T^9 - 
        122/49*T^8 - 15/7*T^7 - 4/7*T^6 + 67/49*T^5 + 13/7*T^4 + 75/49*T^3 + 2*T^2 +
        16/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 6*X*Y^6 + 2*X*Y^5 + 6*X*Y^3 + 3*X*Y^2 + X*Y + X + 
        3*Y^18 + 5*Y^16 + 2*Y^15 + 2*Y^14 + Y^13 + Y^12 + 6*Y^11 + 3*Y^10 + 3*Y^9 + 
        6*Y^8 + 6*Y^7 + 2*Y^6 + 6*Y^5 + 4*Y^3 + 2*Y^2 + 6*Y + 6,
    T^32 - 9/7*T^31 + 13/49*T^30 + 18/49*T^29 + 11/49*T^28 - 33/49*T^27 - 1/7*T^26 +
        19/49*T^25 - 15/49*T^24 + 2/49*T^23 - 1/49*T^22 + 15/49*T^21 - 4/7*T^20 + 
        11/49*T^19 + 20/49*T^18 + 11/49*T^17 - 43/49*T^16 + 11/49*T^15 + 20/49*T^14 
        + 11/49*T^13 - 4/7*T^12 + 15/49*T^11 - 1/49*T^10 + 2/49*T^9 - 15/49*T^8 + 
        19/49*T^7 - 1/7*T^6 - 33/49*T^5 + 11/49*T^4 + 18/49*T^3 + 13/49*T^2 - 9/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 4*X*Y^2 + 
        5*X*Y + 5*X + Y^18 + Y^17 + 4*Y^16 + 4*Y^15 + 2*Y^14 + Y^13 + 4*Y^12 + 
        2*Y^11 + 2*Y^10 + 5*Y^9 + 2*Y^8 + 5*Y^7 + Y^6 + 2*Y^5 + 3*Y^3 + 5*Y^2 + 5*Y 
        + 5,
    T^32 + 6/7*T^31 - 3/49*T^30 - 12/49*T^29 - 19/49*T^28 - 10/49*T^27 + 5/49*T^26 -
        32/49*T^25 - 30/49*T^24 - 17/49*T^23 - 22/49*T^22 + 1/7*T^21 - 4/49*T^20 - 
        20/49*T^19 + 18/49*T^18 + 8/7*T^17 + 65/49*T^16 + 8/7*T^15 + 18/49*T^14 - 
        20/49*T^13 - 4/49*T^12 + 1/7*T^11 - 22/49*T^10 - 17/49*T^9 - 30/49*T^8 - 
        32/49*T^7 + 5/49*T^6 - 10/49*T^5 - 19/49*T^4 - 12/49*T^3 - 3/49*T^2 + 6/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 
        3*X*Y^2 + 3*X*Y + 5*Y^18 + 6*Y^17 + 4*Y^16 + 5*Y^15 + 2*Y^13 + Y^12 + 3*Y^11
        + 4*Y^10 + 5*Y^9 + 3*Y^8 + 4*Y^7 + 5*Y^6 + 4*Y^5 + 3*Y^4 + 3*Y^2 + 2,
    -T^32 - 10/7*T^31 + 34/49*T^30 + 88/49*T^29 - 27/49*T^28 - 72/49*T^27 + 9/7*T^26
        + 120/49*T^25 - 6/49*T^24 - 88/49*T^23 - 15/49*T^22 + 43/49*T^21 + 
        11/49*T^20 - 20/49*T^19 + 1/49*T^18 + 19/49*T^17 - 19/49*T^15 - 1/49*T^14 + 
        20/49*T^13 - 11/49*T^12 - 43/49*T^11 + 15/49*T^10 + 88/49*T^9 + 6/49*T^8 - 
        120/49*T^7 - 9/7*T^6 + 72/49*T^5 + 27/49*T^4 - 88/49*T^3 - 34/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^7 + 5*X*Y^5 + 4*X*Y^3 + X*Y^2 + 3*X*Y + 6*X + Y^18 + 
        4*Y^17 + 5*Y^16 + 2*Y^13 + 4*Y^12 + 2*Y^11 + 3*Y^10 + 5*Y^8 + 5*Y^7 + 6*Y^6 
        + 2*Y^4 + 6*Y^3 + 6*Y^2 + 5,
    T^32 - 2/7*T^31 - 29/49*T^30 - 37/49*T^29 - 9/49*T^28 - 3/49*T^27 + 30/49*T^26 +
        45/49*T^25 + 16/49*T^24 - 9/49*T^23 - 23/49*T^22 - 13/49*T^21 - 38/49*T^20 +
        9/49*T^19 + 12/49*T^18 + 12/49*T^17 + 13/49*T^16 + 12/49*T^15 + 12/49*T^14 +
        9/49*T^13 - 38/49*T^12 - 13/49*T^11 - 23/49*T^10 - 9/49*T^9 + 16/49*T^8 + 
        45/49*T^7 + 30/49*T^6 - 3/49*T^5 - 9/49*T^4 - 37/49*T^3 - 29/49*T^2 - 2/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 5*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 4*X*Y + 6*X + 
        3*Y^18 + 4*Y^17 + Y^16 + 6*Y^15 + 5*Y^14 + 4*Y^13 + Y^12 + 3*Y^11 + Y^8 + 
        2*Y^6 + 4*Y^5 + 3*Y^4 + 3*Y^3 + Y^2 + 3*Y + 3,
    -T^32 + 2/7*T^31 - 5/7*T^30 + 6/7*T^29 - 1/7*T^28 + 4/7*T^27 - 17/49*T^26 - 
        13/49*T^25 - 2/49*T^24 - 3/49*T^23 - 1/49*T^22 - 2/49*T^21 + 3/49*T^20 + 
        5/49*T^18 + 13/49*T^17 - 13/49*T^15 - 5/49*T^14 - 3/49*T^12 + 2/49*T^11 + 
        1/49*T^10 + 3/49*T^9 + 2/49*T^8 + 13/49*T^7 + 17/49*T^6 - 4/7*T^5 + 1/7*T^4 
        - 6/7*T^3 + 5/7*T^2 - 2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 2*X 
        + 6*Y^18 + 3*Y^17 + 3*Y^16 + 6*Y^15 + 6*Y^14 + 2*Y^13 + 4*Y^12 + 6*Y^11 + 
        6*Y^10 + 4*Y^8 + 5*Y^7 + 6*Y^6 + 5*Y^4 + 5*Y^3 + 5*Y^2 + 5*Y + 6,
    -T^32 - 5/7*T^31 + 15/49*T^30 - 4/49*T^29 - 20/49*T^28 - 38/49*T^27 + 17/49*T^26
        + 41/49*T^25 - 3/7*T^24 - 34/49*T^23 - 20/49*T^22 + 26/49*T^21 + 4/49*T^20 -
        5/7*T^19 + 4/49*T^18 + 1/49*T^17 - 1/49*T^15 - 4/49*T^14 + 5/7*T^13 - 
        4/49*T^12 - 26/49*T^11 + 20/49*T^10 + 34/49*T^9 + 3/7*T^8 - 41/49*T^7 - 
        17/49*T^6 + 38/49*T^5 + 20/49*T^4 + 4/49*T^3 - 15/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 4*X*Y^4 + X*Y^3 + 2*X*Y^2 + X*Y + 
        6*Y^18 + 4*Y^17 + 6*Y^16 + 4*Y^15 + 2*Y^14 + 3*Y^13 + 2*Y^12 + 3*Y^11 + Y^10
        + Y^9 + 2*Y^8 + 3*Y^7 + 5*Y^6 + 4*Y^5 + 2*Y^4 + 6*Y^3 + 3*Y^2 + 4,
    T^32 + 2*T^31 + 17/49*T^30 - 75/49*T^29 - 27/49*T^28 + 46/49*T^27 + 32/49*T^26 -
        29/49*T^25 - 48/49*T^24 + 25/49*T^23 + 74/49*T^22 - 1/7*T^21 - 60/49*T^20 + 
        11/49*T^19 + 31/49*T^18 - 44/49*T^17 - 86/49*T^16 - 44/49*T^15 + 31/49*T^14 
        + 11/49*T^13 - 60/49*T^12 - 1/7*T^11 + 74/49*T^10 + 25/49*T^9 - 48/49*T^8 - 
        29/49*T^7 + 32/49*T^6 + 46/49*T^5 - 27/49*T^4 - 75/49*T^3 + 17/49*T^2 + 2*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 3*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 3*X*Y^2 + 
        6*X*Y + 3*X + 5*Y^18 + 3*Y^17 + 5*Y^16 + 2*Y^15 + 5*Y^13 + Y^11 + 3*Y^9 + 
        5*Y^8 + 2*Y^7 + 3*Y^6 + 3*Y^5 + Y^4 + Y^3,
    -T^32 + 2/7*T^31 + 51/49*T^30 - 12/49*T^29 + 17/49*T^28 + 5/49*T^27 - 15/49*T^26
        - 1/7*T^25 - 26/49*T^24 - 8/49*T^23 + 2/7*T^22 + 4/49*T^21 - 6/49*T^20 + 
        8/49*T^19 + 23/49*T^18 + 2/7*T^17 - 2/7*T^15 - 23/49*T^14 - 8/49*T^13 + 
        6/49*T^12 - 4/49*T^11 - 2/7*T^10 + 8/49*T^9 + 26/49*T^8 + 1/7*T^7 + 
        15/49*T^6 - 5/49*T^5 - 17/49*T^4 + 12/49*T^3 - 51/49*T^2 - 2/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + X*Y^3 + 2*X*Y + 
        2*X + 5*Y^18 + 5*Y^17 + 2*Y^14 + 3*Y^12 + 2*Y^11 + 5*Y^10 + Y^9 + 5*Y^8 + 
        4*Y^5 + 3*Y^4 + Y^3 + Y^2 + Y + 4,
    T^32 - 2/7*T^31 - 13/49*T^29 - 38/49*T^28 - 2/49*T^27 + 25/49*T^26 - 31/49*T^25 
        + 24/49*T^24 + 16/49*T^23 - 30/49*T^22 + 18/49*T^21 + 6/49*T^20 - 30/49*T^19
        + 16/49*T^18 + 2/7*T^17 - 19/49*T^16 + 2/7*T^15 + 16/49*T^14 - 30/49*T^13 + 
        6/49*T^12 + 18/49*T^11 - 30/49*T^10 + 16/49*T^9 + 24/49*T^8 - 31/49*T^7 + 
        25/49*T^6 - 2/49*T^5 - 38/49*T^4 - 13/49*T^3 - 2/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^7 + 2*X*Y^6 + 2*X*Y^4 + X*Y^2 + 2*X*Y + 4*X + 2*Y^18 + 
        6*Y^17 + 2*Y^16 + 6*Y^15 + 3*Y^14 + Y^13 + 4*Y^12 + 3*Y^11 + Y^10 + Y^9 + 
        5*Y^8 + 6*Y^7 + 3*Y^5 + 5*Y^4 + 5*Y^3 + 4*Y^2 + 5*Y + 4,
    -T^32 + 5/7*T^31 + 62/49*T^30 - 1/7*T^29 - 57/49*T^28 - 44/49*T^27 + 60/49*T^26 
        + 80/49*T^25 - 8/7*T^24 - 80/49*T^23 + 22/49*T^22 + 86/49*T^21 - 26/49*T^20 
        - 90/49*T^19 + 34/49*T^18 + 73/49*T^17 - 73/49*T^15 - 34/49*T^14 + 
        90/49*T^13 + 26/49*T^12 - 86/49*T^11 - 22/49*T^10 + 80/49*T^9 + 8/7*T^8 - 
        80/49*T^7 - 60/49*T^6 + 44/49*T^5 + 57/49*T^4 + 1/7*T^3 - 62/49*T^2 - 5/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        5*X*Y^2 + 6*X + 3*Y^18 + 3*Y^16 + 5*Y^15 + 6*Y^14 + 3*Y^13 + 6*Y^12 + 4*Y^11
        + 3*Y^10 + 4*Y^9 + 4*Y^8 + 4*Y^7 + 2*Y^6 + 6*Y^5 + 5*Y^4 + Y^3 + 5*Y^2 + 
        4*Y,
    -T^32 - 4/7*T^31 + 26/49*T^30 + T^29 + 36/49*T^28 - 4/49*T^27 - 47/49*T^26 - 
        5/49*T^25 + 16/49*T^24 + 4/49*T^23 - 2/49*T^22 + 13/49*T^21 + 30/49*T^20 + 
        15/49*T^19 - 6/7*T^18 - 47/49*T^17 + 47/49*T^15 + 6/7*T^14 - 15/49*T^13 - 
        30/49*T^12 - 13/49*T^11 + 2/49*T^10 - 4/49*T^9 - 16/49*T^8 + 5/49*T^7 + 
        47/49*T^6 + 4/49*T^5 - 36/49*T^4 - T^3 - 26/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 6*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 6*X*Y + X + 3*Y^18 + 6*Y^17 + 
        2*Y^16 + 2*Y^15 + 3*Y^14 + 3*Y^13 + 6*Y^12 + 3*Y^11 + 6*Y^10 + 3*Y^9 + 4*Y^8
        + 5*Y^7 + 2*Y^6 + 2*Y^5 + 3*Y^2 + 3,
    -T^32 + 3/7*T^31 + 37/49*T^30 + 15/49*T^29 + 1/7*T^28 - 31/49*T^27 + 12/49*T^26 
        + 9/49*T^25 - 32/49*T^24 + 1/7*T^23 - 22/49*T^22 - 19/49*T^21 + 23/49*T^20 +
        44/49*T^19 + 2/49*T^18 - 29/49*T^17 + 29/49*T^15 - 2/49*T^14 - 44/49*T^13 - 
        23/49*T^12 + 19/49*T^11 + 22/49*T^10 - 1/7*T^9 + 32/49*T^8 - 9/49*T^7 - 
        12/49*T^6 + 31/49*T^5 - 1/7*T^4 - 15/49*T^3 - 37/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^7 + 3*X*Y^6 + X*Y^5 + 5*X*Y^4 + X*Y^3 + 6*X*Y^2 + X*Y + 6*Y^18 + 
        2*Y^17 + 5*Y^16 + 5*Y^15 + 3*Y^14 + 6*Y^12 + 4*Y^11 + 3*Y^10 + 4*Y^9 + 4*Y^7
        + 5*Y^6 + 2*Y^5 + Y^4 + Y^3 + 6*Y^2 + 3*Y + 3,
    T^32 - 12/7*T^31 + 53/49*T^30 + 23/49*T^29 - 71/49*T^28 + 78/49*T^27 - 
        51/49*T^26 - 16/49*T^25 + 62/49*T^24 - 79/49*T^23 + 37/49*T^22 + 4/7*T^21 - 
        67/49*T^20 + T^19 - 6/49*T^18 - 23/49*T^17 + 40/49*T^16 - 23/49*T^15 - 
        6/49*T^14 + T^13 - 67/49*T^12 + 4/7*T^11 + 37/49*T^10 - 79/49*T^9 + 
        62/49*T^8 - 16/49*T^7 - 51/49*T^6 + 78/49*T^5 - 71/49*T^4 + 23/49*T^3 + 
        53/49*T^2 - 12/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 
        3*X*Y^2 + 4*X*Y + 4*X + 2*Y^18 + 5*Y^17 + 5*Y^16 + Y^15 + 5*Y^14 + 4*Y^13 + 
        3*Y^12 + 6*Y^11 + 3*Y^10 + 3*Y^9 + 2*Y^8 + 2*Y^7 + 5*Y^6 + 6*Y^5 + 4*Y^4 + 
        5*Y^3 + 5*Y^2 + Y + 6,
    T^32 - 3/7*T^31 - 81/49*T^30 + 47/49*T^29 + 55/49*T^28 - 47/49*T^27 - 4/49*T^26 
        + 32/49*T^25 - 54/49*T^24 - 20/49*T^23 + 11/7*T^22 + 18/49*T^21 - 36/49*T^20
        - 37/49*T^19 + 20/49*T^17 + 8/49*T^16 + 20/49*T^15 - 37/49*T^13 - 36/49*T^12
        + 18/49*T^11 + 11/7*T^10 - 20/49*T^9 - 54/49*T^8 + 32/49*T^7 - 4/49*T^6 - 
        47/49*T^5 + 55/49*T^4 + 47/49*T^3 - 81/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^7 + 2*X*Y^6 + 2*X*Y^2 + 4*X*Y + 5*X + 6*Y^18 + 4*Y^17 + 
        4*Y^16 + 4*Y^15 + Y^14 + 5*Y^13 + 5*Y^12 + 5*Y^11 + 2*Y^10 + 2*Y^9 + Y^8 + 
        4*Y^7 + 6*Y^6 + 5*Y^5 + 6*Y^4 + 4*Y^3 + Y^2 + 3*Y + 6,
    T^32 + 2/7*T^31 - 4/49*T^30 + 13/49*T^29 + 3/7*T^28 - 3/49*T^27 + 10/49*T^26 + 
        1/49*T^25 - 6/49*T^24 - 16/49*T^23 + 5/49*T^22 - 2/49*T^21 - 11/49*T^20 - 
        41/49*T^19 - 11/49*T^18 - 15/49*T^17 - 8/49*T^16 - 15/49*T^15 - 11/49*T^14 -
        41/49*T^13 - 11/49*T^12 - 2/49*T^11 + 5/49*T^10 - 16/49*T^9 - 6/49*T^8 + 
        1/49*T^7 + 10/49*T^6 - 3/49*T^5 + 3/7*T^4 + 13/49*T^3 - 4/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + X*Y^4 + 6*X*Y^3 + 
        4*X*Y^2 + 3*X*Y + 3*X + 3*Y^18 + 5*Y^17 + 6*Y^16 + 2*Y^15 + 5*Y^14 + 2*Y^13 
        + 6*Y^12 + 4*Y^11 + 6*Y^10 + 5*Y^9 + 6*Y^8 + 3*Y^7 + 4*Y^6 + 3*Y^5 + 2*Y^4 +
        3*Y^3 + 3*Y^2 + 2*Y + 6,
    -T^32 - 5/7*T^31 + 69/49*T^30 + 100/49*T^29 - 22/49*T^28 - 24/7*T^27 - 10/7*T^26
        + 150/49*T^25 + 163/49*T^24 - 67/49*T^23 - 201/49*T^22 - 24/49*T^21 + 
        193/49*T^20 + 20/7*T^19 - 18/7*T^18 - 204/49*T^17 + 204/49*T^15 + 18/7*T^14 
        - 20/7*T^13 - 193/49*T^12 + 24/49*T^11 + 201/49*T^10 + 67/49*T^9 - 
        163/49*T^8 - 150/49*T^7 + 10/7*T^6 + 24/7*T^5 + 22/49*T^4 - 100/49*T^3 - 
        69/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + X*Y^2 
        + 3*X*Y + 3*X + 3*Y^18 + 2*Y^17 + 4*Y^16 + 2*Y^15 + 3*Y^14 + 6*Y^13 + 3*Y^12
        + 5*Y^11 + Y^10 + 6*Y^9 + 5*Y^8 + Y^7 + 6*Y^6 + 4*Y^5 + 3*Y^4 + 6*Y^3 + 
        5*Y^2 + Y + 6,
    -T^32 - 8/7*T^31 - 58/49*T^30 - 50/49*T^29 - 24/49*T^28 + 18/49*T^27 + 
        29/49*T^26 + 3/7*T^25 + 36/49*T^24 + 6/49*T^23 + 16/49*T^22 + 23/49*T^21 + 
        25/49*T^20 + 11/49*T^19 + 22/49*T^18 + 2/7*T^17 - 2/7*T^15 - 22/49*T^14 - 
        11/49*T^13 - 25/49*T^12 - 23/49*T^11 - 16/49*T^10 - 6/49*T^9 - 36/49*T^8 - 
        3/7*T^7 - 29/49*T^6 - 18/49*T^5 + 24/49*T^4 + 50/49*T^3 + 58/49*T^2 + 8/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 6*X*Y^6 + 3*X*Y^5 + X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + X*Y + 
        4*X + 2*Y^18 + 5*Y^17 + 3*Y^16 + Y^15 + 4*Y^13 + Y^12 + Y^11 + 3*Y^10 + Y^9 
        + 6*Y^8 + 5*Y^7 + Y^6 + 3*Y^5 + 6*Y^4 + 4*Y^3 + Y^2 + Y + 4,
    T^32 - 6/7*T^31 - 57/49*T^30 + 10/7*T^29 + 1/7*T^28 - 3/7*T^27 + 6/7*T^26 - 
        4/7*T^25 - 8/7*T^24 + 12/49*T^23 + 72/49*T^22 - 1/49*T^21 - 8/7*T^20 + 
        22/49*T^19 - 29/49*T^18 - 4/7*T^17 + 88/49*T^16 - 4/7*T^15 - 29/49*T^14 + 
        22/49*T^13 - 8/7*T^12 - 1/49*T^11 + 72/49*T^10 + 12/49*T^9 - 8/7*T^8 - 
        4/7*T^7 + 6/7*T^6 - 3/7*T^5 + 1/7*T^4 + 10/7*T^3 - 57/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 4*X*Y + 5*X + 3*Y^18 + 
        3*Y^17 + Y^16 + 3*Y^14 + 5*Y^13 + 2*Y^12 + 2*Y^10 + 2*Y^9 + 4*Y^8 + 3*Y^7 + 
        3*Y^6 + 3*Y^5 + 5*Y^4 + 5*Y^3 + 4*Y^2 + 3,
    -T^32 + 8/7*T^31 - 31/49*T^30 + 11/49*T^29 - 17/49*T^28 - 12/49*T^27 + 1/49*T^26
        + 26/49*T^25 - 38/49*T^24 - 6/49*T^23 + 1/7*T^22 - 6/49*T^20 + 2/7*T^19 - 
        45/49*T^18 + 39/49*T^17 - 39/49*T^15 + 45/49*T^14 - 2/7*T^13 + 6/49*T^12 - 
        1/7*T^10 + 6/49*T^9 + 38/49*T^8 - 26/49*T^7 - 1/49*T^6 + 12/49*T^5 + 
        17/49*T^4 - 11/49*T^3 + 31/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 5*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 
        3*X*Y + 4*Y^18 + Y^17 + 6*Y^16 + 4*Y^15 + Y^14 + 3*Y^13 + 4*Y^12 + 4*Y^11 + 
        2*Y^10 + 3*Y^9 + 6*Y^8 + 3*Y^7 + 2*Y^6 + 2*Y^5 + 2*Y^4 + Y^3 + 4*Y^2 + 6*Y +
        6,
    T^32 + 3/7*T^31 - 3/49*T^30 - 18/49*T^29 + 10/49*T^28 + 16/49*T^27 + 31/49*T^26 
        + 6/49*T^25 - 18/49*T^24 + 9/49*T^23 + 1/49*T^22 - 1/49*T^21 - 26/49*T^20 - 
        30/49*T^19 - 5/7*T^18 - 1/7*T^17 - 10/49*T^16 - 1/7*T^15 - 5/7*T^14 - 
        30/49*T^13 - 26/49*T^12 - 1/49*T^11 + 1/49*T^10 + 9/49*T^9 - 18/49*T^8 + 
        6/49*T^7 + 31/49*T^6 + 16/49*T^5 + 10/49*T^4 - 18/49*T^3 - 3/49*T^2 + 3/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^6 + X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 6*X*Y + 3*X + 4*Y^18 + 
        5*Y^17 + Y^15 + Y^13 + 6*Y^12 + Y^11 + 6*Y^10 + 5*Y^8 + 6*Y^7 + 3*Y^6 + 
        4*Y^5 + Y^4 + 2*Y^3 + 5*Y^2 + 4*Y + 4,
    T^32 + 8/7*T^31 + 3/7*T^30 + 19/49*T^29 + 1/49*T^28 + 13/49*T^27 - 18/49*T^26 - 
        48/49*T^25 - 38/49*T^24 - 46/49*T^23 - 26/49*T^22 - 32/49*T^21 - 8/49*T^20 -
        1/49*T^19 + 26/49*T^18 + 9/7*T^17 + 38/49*T^16 + 9/7*T^15 + 26/49*T^14 - 
        1/49*T^13 - 8/49*T^12 - 32/49*T^11 - 26/49*T^10 - 46/49*T^9 - 38/49*T^8 - 
        48/49*T^7 - 18/49*T^6 + 13/49*T^5 + 1/49*T^4 + 19/49*T^3 + 3/7*T^2 + 8/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 2*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 
        5*X*Y + 6*X + 5*Y^18 + 5*Y^17 + 2*Y^16 + 4*Y^15 + 3*Y^14 + 2*Y^13 + 3*Y^12 +
        4*Y^11 + 3*Y^10 + 6*Y^9 + 3*Y^7 + Y^6 + 2*Y^5 + 5*Y^4 + Y^3 + 6*Y^2 + 4*Y + 
        4,
    T^32 - 5/7*T^31 - 23/49*T^30 + 30/49*T^29 - 22/49*T^28 - 6/49*T^27 + 15/49*T^26 
        + 2/49*T^25 - 22/49*T^24 + 1/7*T^23 + 16/49*T^22 - 5/49*T^20 + 11/49*T^19 - 
        23/49*T^18 - 17/49*T^17 + 50/49*T^16 - 17/49*T^15 - 23/49*T^14 + 11/49*T^13 
        - 5/49*T^12 + 16/49*T^10 + 1/7*T^9 - 22/49*T^8 + 2/49*T^7 + 15/49*T^6 - 
        6/49*T^5 - 22/49*T^4 + 30/49*T^3 - 23/49*T^2 - 5/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 6*X*Y^2 
        + 6*X*Y + 6*X + 5*Y^18 + 4*Y^17 + 3*Y^16 + Y^13 + 5*Y^11 + 5*Y^10 + Y^9 + 
        5*Y^8 + 4*Y^6 + 5*Y^5 + Y^4 + 5*Y^3 + 5*Y^2 + Y + 1,
    -T^32 - 2/7*T^31 + 17/49*T^30 + 29/49*T^29 - 30/49*T^28 - 38/49*T^27 + 6/49*T^26
        + 5/7*T^25 + 12/49*T^24 - 13/49*T^23 - 27/49*T^22 - 3/49*T^21 + 29/49*T^20 +
        38/49*T^19 - 34/49*T^18 - 58/49*T^17 + 58/49*T^15 + 34/49*T^14 - 38/49*T^13 
        - 29/49*T^12 + 3/49*T^11 + 27/49*T^10 + 13/49*T^9 - 12/49*T^8 - 5/7*T^7 - 
        6/49*T^6 + 38/49*T^5 + 30/49*T^4 - 29/49*T^3 - 17/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 
        5*X*Y^2 + 3*X*Y + 2*X + 6*Y^18 + 6*Y^17 + 5*Y^16 + Y^15 + 4*Y^14 + 5*Y^13 + 
        2*Y^12 + Y^11 + 6*Y^10 + 6*Y^9 + 5*Y^8 + 6*Y^7 + 5*Y^5 + 5*Y^4 + 2*Y^3 + 
        4*Y,
    T^32 - 6/7*T^31 + 6/49*T^30 + 39/49*T^29 - 69/49*T^28 + 25/49*T^27 + 5/7*T^26 - 
        69/49*T^25 + 46/49*T^24 + 20/49*T^23 - 51/49*T^22 + 38/49*T^21 + 2/7*T^20 - 
        78/49*T^19 + 37/49*T^18 + 37/49*T^17 - 73/49*T^16 + 37/49*T^15 + 37/49*T^14 
        - 78/49*T^13 + 2/7*T^12 + 38/49*T^11 - 51/49*T^10 + 20/49*T^9 + 46/49*T^8 - 
        69/49*T^7 + 5/7*T^6 + 25/49*T^5 - 69/49*T^4 + 39/49*T^3 + 6/49*T^2 - 6/7*T +
        1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        3*X*Y^2 + 6*X + 2*Y^18 + 3*Y^16 + 4*Y^15 + 4*Y^13 + 3*Y^12 + 3*Y^9 + 6*Y^7 +
        2*Y^6 + Y^5 + 4*Y^4 + Y^3 + 3*Y + 3,
    T^32 - 1/7*T^31 + 18/49*T^30 + T^29 + 45/49*T^28 + 4/49*T^27 + 37/49*T^26 + 
        62/49*T^25 - 6/49*T^24 + 5/7*T^23 + 11/49*T^22 + 10/49*T^21 + 9/49*T^19 - 
        10/49*T^18 - 27/49*T^17 + 18/49*T^16 - 27/49*T^15 - 10/49*T^14 + 9/49*T^13 +
        10/49*T^11 + 11/49*T^10 + 5/7*T^9 - 6/49*T^8 + 62/49*T^7 + 37/49*T^6 + 
        4/49*T^5 + 45/49*T^4 + T^3 + 18/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 2*X*Y^7 + 5*X*Y^5 + 3*X*Y^3 + X*Y + X + 4*Y^18 + 4*Y^17 
        + 4*Y^16 + 4*Y^15 + Y^14 + 3*Y^13 + Y^12 + 2*Y^10 + 5*Y^9 + 2*Y^8 + 5*Y^7 + 
        3*Y^6 + 2*Y^5 + 5*Y^3 + 2*Y^2 + 4*Y,
    T^32 + 2/7*T^31 - 27/49*T^30 - 19/49*T^29 - 2/49*T^28 + 22/49*T^27 + 12/49*T^26 
        - 19/49*T^25 + 18/49*T^24 + 1/7*T^23 + 11/49*T^22 - 11/49*T^21 - 54/49*T^20 
        - 6/49*T^19 + 23/49*T^18 - 9/49*T^17 - 2/49*T^16 - 9/49*T^15 + 23/49*T^14 - 
        6/49*T^13 - 54/49*T^12 - 11/49*T^11 + 11/49*T^10 + 1/7*T^9 + 18/49*T^8 - 
        19/49*T^7 + 12/49*T^6 + 22/49*T^5 - 2/49*T^4 - 19/49*T^3 - 27/49*T^2 + 2/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 3*X*Y^2 + 2*X*Y 
        + 5*X + 3*Y^18 + 4*Y^17 + Y^14 + 4*Y^13 + 6*Y^12 + 5*Y^11 + 6*Y^9 + 5*Y^8 + 
        6*Y^6 + 2*Y^4 + 5*Y^3 + 2*Y^2 + 2*Y,
    -T^32 + 1/7*T^31 + 26/49*T^30 - 19/49*T^29 + 12/49*T^28 - 22/49*T^27 + 
        34/49*T^26 + 43/49*T^25 - 8/49*T^24 + 3/49*T^23 - 2/7*T^22 + 8/49*T^21 - 
        26/49*T^20 - 50/49*T^19 + 6/49*T^18 - 11/49*T^17 + 11/49*T^15 - 6/49*T^14 + 
        50/49*T^13 + 26/49*T^12 - 8/49*T^11 + 2/7*T^10 - 3/49*T^9 + 8/49*T^8 - 
        43/49*T^7 - 34/49*T^6 + 22/49*T^5 - 12/49*T^4 + 19/49*T^3 - 26/49*T^2 - 
        1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 3*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 
        4*X*Y + 4*X + 2*Y^18 + 4*Y^17 + 4*Y^16 + 5*Y^15 + 6*Y^14 + Y^13 + 5*Y^11 + 
        2*Y^10 + 2*Y^9 + 6*Y^8 + Y^7 + 5*Y^6 + 4*Y^5 + Y^4 + 6*Y^3 + 2*Y^2 + Y + 1,
    -T^32 - 6/7*T^31 + 1/49*T^30 - 9/49*T^29 - 1/49*T^28 - 4/49*T^27 + 17/49*T^26 + 
        26/49*T^25 + 13/49*T^24 + 57/49*T^23 + T^22 + 17/49*T^21 + 15/49*T^20 + 
        17/49*T^19 + 33/49*T^18 + 4/49*T^17 - 4/49*T^15 - 33/49*T^14 - 17/49*T^13 - 
        15/49*T^12 - 17/49*T^11 - T^10 - 57/49*T^9 - 13/49*T^8 - 26/49*T^7 - 
        17/49*T^6 + 4/49*T^5 + 1/49*T^4 + 9/49*T^3 - 1/49*T^2 + 6/7*T + 1
*], [*
    X^3 + X*Y^8 + X*Y^6 + X*Y^5 + 6*X*Y^3 + 6*X*Y^2 + 6*X*Y + 4*X + 2*Y^18 + 2*Y^17 
        + 6*Y^16 + 4*Y^15 + 2*Y^14 + 2*Y^13 + Y^12 + 5*Y^11 + 6*Y^10 + 5*Y^8 + 2*Y^7
        + 5*Y^6 + 4*Y^5 + 4*Y^4 + 3*Y^3 + 5*Y^2 + 3*Y + 1,
    -T^32 - 3/7*T^31 + 83/49*T^30 + 62/49*T^29 - 53/49*T^28 - 41/49*T^27 + 
        31/49*T^26 + 10/49*T^25 - 40/49*T^24 + 9/49*T^23 + 6/7*T^22 - 19/49*T^21 - 
        10/49*T^20 + 26/49*T^19 - 37/49*T^18 - 74/49*T^17 + 74/49*T^15 + 37/49*T^14 
        - 26/49*T^13 + 10/49*T^12 + 19/49*T^11 - 6/7*T^10 - 9/49*T^9 + 40/49*T^8 - 
        10/49*T^7 - 31/49*T^6 + 41/49*T^5 + 53/49*T^4 - 62/49*T^3 - 83/49*T^2 + 
        3/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 4*X*Y^5 + 5*X*Y^4 + 2*X*Y^2 + 6*X + 2*Y^18 + 6*Y^17 + 
        6*Y^16 + 3*Y^14 + 2*Y^12 + 4*Y^11 + Y^9 + 6*Y^8 + 3*Y^7 + 6*Y^6 + 4*Y^5 + 
        4*Y^4 + 5*Y^2 + 2*Y,
    -T^32 + 3/7*T^31 + 18/49*T^30 - 43/49*T^29 + 40/49*T^28 - 11/49*T^27 - 
        45/49*T^26 + 18/49*T^25 + 8/49*T^24 - 16/49*T^23 + 15/49*T^22 - 18/49*T^21 -
        18/49*T^20 + 16/49*T^19 - 30/49*T^18 + 45/49*T^17 - 45/49*T^15 + 30/49*T^14 
        - 16/49*T^13 + 18/49*T^12 + 18/49*T^11 - 15/49*T^10 + 16/49*T^9 - 8/49*T^8 -
        18/49*T^7 + 45/49*T^6 + 11/49*T^5 - 40/49*T^4 + 43/49*T^3 - 18/49*T^2 - 
        3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + X*Y^3 + 4*X*Y^2 + 3*X*Y 
        + 3*Y^18 + 6*Y^17 + 4*Y^16 + 4*Y^15 + 4*Y^14 + 6*Y^13 + 3*Y^12 + 5*Y^11 + 
        3*Y^10 + Y^8 + 3*Y^7 + 3*Y^6 + Y^5 + Y^4 + 2*Y^3 + 3*Y^2 + Y + 5,
    -T^32 - 3/7*T^31 + 15/49*T^30 + 65/49*T^29 + 4/7*T^28 - 32/49*T^27 - 48/49*T^26 
        - 2/7*T^25 + 41/49*T^24 + 50/49*T^23 - 25/49*T^21 - 15/49*T^20 + 3/49*T^19 -
        5/49*T^18 - 16/49*T^17 + 16/49*T^15 + 5/49*T^14 - 3/49*T^13 + 15/49*T^12 + 
        25/49*T^11 - 50/49*T^9 - 41/49*T^8 + 2/7*T^7 + 48/49*T^6 + 32/49*T^5 - 
        4/7*T^4 - 65/49*T^3 - 15/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 4*X*Y^4 + 2*X*Y^3 + X*Y^2 + 2*X + 
        3*Y^18 + 6*Y^15 + 3*Y^13 + 6*Y^12 + Y^11 + 4*Y^10 + 5*Y^9 + 6*Y^8 + 2*Y^7 + 
        Y^6 + Y^4 + 6*Y^3 + Y + 6,
    -T^32 + T^31 - 5/49*T^30 - 45/49*T^29 + 47/49*T^28 - 33/49*T^27 - 4/49*T^26 + 
        8/49*T^25 - 26/49*T^24 + 31/49*T^23 - 5/49*T^22 - 34/49*T^21 + 19/49*T^20 + 
        18/49*T^19 - 38/49*T^18 + 29/49*T^17 - 29/49*T^15 + 38/49*T^14 - 18/49*T^13 
        - 19/49*T^12 + 34/49*T^11 + 5/49*T^10 - 31/49*T^9 + 26/49*T^8 - 8/49*T^7 + 
        4/49*T^6 + 33/49*T^5 - 47/49*T^4 + 45/49*T^3 + 5/49*T^2 - T + 1
*], [*
    X^3 + 2*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 6*X*Y^3 + 4*X*Y^2 + 5*X*Y + 3*X + 5*Y^18 + 
        Y^17 + 2*Y^16 + 3*Y^15 + 3*Y^14 + Y^13 + 4*Y^12 + Y^11 + 5*Y^10 + 6*Y^9 + 
        3*Y^8 + 4*Y^7 + 5*Y^4 + Y^3 + 4*Y^2 + 6*Y,
    T^32 + 2/7*T^31 - 3/7*T^30 - 33/49*T^29 + 18/49*T^28 + 12/49*T^27 - 3/7*T^26 - 
        15/49*T^25 + 13/49*T^24 + 4/7*T^23 + 1/7*T^22 - 26/49*T^21 - 5/7*T^20 - 
        1/49*T^19 + 29/49*T^18 - 3/49*T^17 - 26/49*T^16 - 3/49*T^15 + 29/49*T^14 - 
        1/49*T^13 - 5/7*T^12 - 26/49*T^11 + 1/7*T^10 + 4/7*T^9 + 13/49*T^8 - 
        15/49*T^7 - 3/7*T^6 + 12/49*T^5 + 18/49*T^4 - 33/49*T^3 - 3/7*T^2 + 2/7*T + 
        1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + X*Y^7 + X*Y^6 + 3*X*Y^5 + X*Y^4 + 2*X*Y^3 + 3*X*Y^2 + 
        X*Y + 3*X + Y^18 + 5*Y^17 + 3*Y^16 + Y^15 + 6*Y^14 + 6*Y^12 + 5*Y^11 + 
        4*Y^10 + 2*Y^9 + Y^8 + 5*Y^7 + 6*Y^6 + 4*Y^5 + 2*Y^4 + Y^3 + 2*Y^2 + 6*Y + 
        5,
    -T^32 + 15/7*T^31 - 107/49*T^30 + 73/49*T^29 - 24/49*T^28 - 26/49*T^27 + 
        3/7*T^26 + 45/49*T^25 - 78/49*T^24 + 5/7*T^23 + 6/7*T^22 - 115/49*T^21 + 
        131/49*T^20 - 58/49*T^19 - 4/7*T^18 + 39/49*T^17 - 39/49*T^15 + 4/7*T^14 + 
        58/49*T^13 - 131/49*T^12 + 115/49*T^11 - 6/7*T^10 - 5/7*T^9 + 78/49*T^8 - 
        45/49*T^7 - 3/7*T^6 + 26/49*T^5 + 24/49*T^4 - 73/49*T^3 + 107/49*T^2 - 
        15/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + X*Y^7 + 6*X*Y^6 + X*Y^5 + 2*X*Y^4 + X*Y^3 + 6*X*Y^2 + 3*X*Y + 
        2*Y^18 + 3*Y^17 + 5*Y^15 + Y^14 + 5*Y^13 + 2*Y^12 + 5*Y^11 + 6*Y^10 + Y^9 + 
        3*Y^8 + Y^7 + 3*Y^6 + 4*Y^5 + 6*Y^3 + 5*Y + 3,
    T^32 + 6/7*T^31 - T^30 - 87/49*T^29 - 47/49*T^28 + 55/49*T^27 + 109/49*T^26 + 
        11/49*T^25 - 81/49*T^24 - 47/49*T^23 + 3/49*T^22 + 59/49*T^21 + 6/7*T^20 - 
        47/49*T^19 - 5/7*T^18 + 2/7*T^17 + 18/49*T^16 + 2/7*T^15 - 5/7*T^14 - 
        47/49*T^13 + 6/7*T^12 + 59/49*T^11 + 3/49*T^10 - 47/49*T^9 - 81/49*T^8 + 
        11/49*T^7 + 109/49*T^6 + 55/49*T^5 - 47/49*T^4 - 87/49*T^3 - T^2 + 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + X*Y^4 + 6*X*Y^3 + 5*X*Y 
        + 2*X + 5*Y^18 + 5*Y^17 + 3*Y^16 + 2*Y^15 + Y^13 + 5*Y^12 + 3*Y^10 + 6*Y^9 +
        4*Y^8 + Y^7 + Y^6 + 2*Y^4 + Y^3 + 6*Y^2 + 4*Y + 4,
    T^32 - 4/7*T^31 - 4/49*T^30 + 26/49*T^29 - 45/49*T^28 + 17/49*T^27 + 26/49*T^26 
        - 11/49*T^25 + 23/49*T^24 - 18/49*T^23 - 34/49*T^22 + 23/49*T^21 - 1/49*T^20
        + 1/49*T^19 + 24/49*T^18 - 26/49*T^17 - 8/49*T^16 - 26/49*T^15 + 24/49*T^14 
        + 1/49*T^13 - 1/49*T^12 + 23/49*T^11 - 34/49*T^10 - 18/49*T^9 + 23/49*T^8 - 
        11/49*T^7 + 26/49*T^6 + 17/49*T^5 - 45/49*T^4 + 26/49*T^3 - 4/49*T^2 - 4/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + 4*X*Y + 3*X + 2*Y^18 + 5*Y^17 + 6*Y^16 + 5*Y^15 + 2*Y^14 + 4*Y^13 
        + 5*Y^12 + 4*Y^11 + Y^10 + 4*Y^9 + 3*Y^8 + 6*Y^7 + 6*Y^6 + 5*Y^5 + 3*Y^4 + 
        3*Y^3 + 4*Y^2 + 3*Y + 4,
    -T^32 + 12/7*T^31 - 90/49*T^30 + 72/49*T^29 - 8/7*T^28 + 33/49*T^27 + 10/49*T^26
        - 47/49*T^25 + 52/49*T^24 - 32/49*T^23 + 26/49*T^22 + 11/49*T^21 - 
        32/49*T^20 + 71/49*T^19 - 78/49*T^18 + T^17 - T^15 + 78/49*T^14 - 71/49*T^13
        + 32/49*T^12 - 11/49*T^11 - 26/49*T^10 + 32/49*T^9 - 52/49*T^8 + 47/49*T^7 -
        10/49*T^6 - 33/49*T^5 + 8/7*T^4 - 72/49*T^3 + 90/49*T^2 - 12/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 3*X*Y^7 + 4*X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + 3*X*Y + 5*X + 
        2*Y^18 + 6*Y^16 + 6*Y^15 + Y^14 + 4*Y^13 + 2*Y^12 + 4*Y^9 + 6*Y^8 + 5*Y^7 + 
        4*Y^6 + 2*Y^5 + Y^4 + 6*Y^3 + 2*Y^2 + 6,
    -T^32 - 3/7*T^31 + 8/7*T^30 - 6/49*T^28 + 53/49*T^27 + 8/49*T^26 - 32/49*T^25 + 
        18/49*T^24 + 25/49*T^23 - 50/49*T^22 - 29/49*T^21 + 3/7*T^20 - 30/49*T^19 - 
        1/7*T^18 + 55/49*T^17 - 55/49*T^15 + 1/7*T^14 + 30/49*T^13 - 3/7*T^12 + 
        29/49*T^11 + 50/49*T^10 - 25/49*T^9 - 18/49*T^8 + 32/49*T^7 - 8/49*T^6 - 
        53/49*T^5 + 6/49*T^4 - 8/7*T^2 + 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 3*X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + X*Y 
        + 3*X + 3*Y^18 + 5*Y^17 + 2*Y^16 + 3*Y^15 + 6*Y^14 + 3*Y^13 + 3*Y^12 + 
        5*Y^11 + 3*Y^10 + 2*Y^9 + 2*Y^8 + 5*Y^6 + Y^5 + 3*Y^4 + 3*Y^2 + 4*Y + 5,
    -T^32 - 11/7*T^31 - 31/49*T^30 + 3/7*T^29 - 73/49*T^27 - 6/7*T^26 + 46/49*T^25 +
        75/49*T^24 + 3/49*T^23 - 45/49*T^22 - 1/49*T^21 + 31/49*T^20 + 20/49*T^19 - 
        24/49*T^18 - 4/7*T^17 + 4/7*T^15 + 24/49*T^14 - 20/49*T^13 - 31/49*T^12 + 
        1/49*T^11 + 45/49*T^10 - 3/49*T^9 - 75/49*T^8 - 46/49*T^7 + 6/7*T^6 + 
        73/49*T^5 - 3/7*T^3 + 31/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + X*Y^2 
        + X*Y + 6*X + 5*Y^18 + Y^17 + 2*Y^16 + 6*Y^15 + 6*Y^14 + 2*Y^12 + 3*Y^11 + 
        6*Y^10 + 6*Y^9 + 6*Y^8 + 4*Y^7 + 2*Y^6 + Y^5 + 2*Y^3 + 6*Y^2 + 4*Y,
    T^32 + 2/7*T^31 - 55/49*T^30 + 16/49*T^29 + 32/49*T^28 - 47/49*T^27 - 25/49*T^26
        + 18/49*T^25 - 16/49*T^24 + 3/49*T^23 + 4/7*T^22 - 12/49*T^21 + 20/49*T^20 +
        26/49*T^19 - T^18 - 13/49*T^17 + 58/49*T^16 - 13/49*T^15 - T^14 + 26/49*T^13
        + 20/49*T^12 - 12/49*T^11 + 4/7*T^10 + 3/49*T^9 - 16/49*T^8 + 18/49*T^7 - 
        25/49*T^6 - 47/49*T^5 + 32/49*T^4 + 16/49*T^3 - 55/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 2*X*Y + 6*X + 
        3*Y^18 + 2*Y^17 + 2*Y^15 + 4*Y^14 + 3*Y^13 + 5*Y^9 + 6*Y^8 + Y^7 + 4*Y^6 + 
        3*Y^5 + 2*Y^4 + 3*Y^3 + 3*Y^2 + 2*Y,
    T^32 + 2/7*T^31 + 38/49*T^30 + 4/7*T^29 + 5/7*T^28 + 3/49*T^27 + 8/49*T^26 - 
        12/49*T^25 - 1/7*T^24 - 16/49*T^23 - 4/49*T^22 - 2/7*T^21 - 16/49*T^20 - 
        11/49*T^19 - 26/49*T^18 - 22/49*T^17 - 45/49*T^16 - 22/49*T^15 - 26/49*T^14 
        - 11/49*T^13 - 16/49*T^12 - 2/7*T^11 - 4/49*T^10 - 16/49*T^9 - 1/7*T^8 - 
        12/49*T^7 + 8/49*T^6 + 3/49*T^5 + 5/7*T^4 + 4/7*T^3 + 38/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        3*X*Y^2 + 5*X*Y + 2*X + 6*Y^18 + 3*Y^17 + 2*Y^16 + 6*Y^15 + 3*Y^14 + 3*Y^13 
        + 5*Y^12 + 5*Y^11 + 5*Y^10 + 2*Y^9 + 5*Y^8 + 3*Y^7 + 6*Y^5 + Y^4 + 6*Y^3 + 
        4*Y + 6,
    T^32 - 8/7*T^31 + 20/49*T^30 - 10/49*T^29 - 3/49*T^28 + 26/49*T^27 + 16/49*T^26 
        - 33/49*T^25 + 2/49*T^24 - 10/49*T^23 + 18/49*T^22 + 13/49*T^21 + 6/49*T^20 
        - 22/49*T^19 - 4/7*T^18 + 26/49*T^17 - 3/49*T^16 + 26/49*T^15 - 4/7*T^14 - 
        22/49*T^13 + 6/49*T^12 + 13/49*T^11 + 18/49*T^10 - 10/49*T^9 + 2/49*T^8 - 
        33/49*T^7 + 16/49*T^6 + 26/49*T^5 - 3/49*T^4 - 10/49*T^3 + 20/49*T^2 - 8/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + 5*X*Y^5 + 5*X*Y^4 + X*Y^2 + 4*X*Y + 6*Y^18 +
        3*Y^17 + Y^16 + 2*Y^15 + 4*Y^14 + 6*Y^13 + 6*Y^12 + 5*Y^11 + 6*Y^10 + Y^9 + 
        5*Y^7 + Y^5 + 2*Y^4 + Y^3 + 4*Y^2 + 3*Y + 3,
    -T^32 - 3/7*T^31 - 30/49*T^30 + 22/49*T^29 + 19/49*T^28 + 36/49*T^27 + 
        25/49*T^26 + 20/49*T^25 - 20/49*T^24 - 37/49*T^23 - 5/49*T^22 + 3/49*T^21 + 
        22/49*T^20 + 15/49*T^19 + 12/49*T^18 + 25/49*T^17 - 25/49*T^15 - 12/49*T^14 
        - 15/49*T^13 - 22/49*T^12 - 3/49*T^11 + 5/49*T^10 + 37/49*T^9 + 20/49*T^8 - 
        20/49*T^7 - 25/49*T^6 - 36/49*T^5 - 19/49*T^4 - 22/49*T^3 + 30/49*T^2 + 
        3/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^7 + 6*X*Y^5 + 3*X*Y^4 + X*Y^2 + 3*X*Y + 2*Y^18 + 5*Y^16 + 
        5*Y^15 + 4*Y^14 + 4*Y^13 + 6*Y^12 + 4*Y^11 + 6*Y^9 + 5*Y^8 + 2*Y^7 + 4*Y^5 +
        Y^4 + 5*Y^2 + 6*Y + 2,
    -T^32 + 11/7*T^31 - 45/49*T^30 - 4/7*T^29 + 88/49*T^28 - 83/49*T^27 - 15/49*T^26
        + 59/49*T^25 - 24/49*T^24 - 30/49*T^23 + 65/49*T^22 - 46/49*T^21 - 
        15/49*T^20 + 11/49*T^19 + 23/49*T^18 - 20/49*T^17 + 20/49*T^15 - 23/49*T^14 
        - 11/49*T^13 + 15/49*T^12 + 46/49*T^11 - 65/49*T^10 + 30/49*T^9 + 24/49*T^8 
        - 59/49*T^7 + 15/49*T^6 + 83/49*T^5 - 88/49*T^4 + 4/7*T^3 + 45/49*T^2 - 
        11/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + X*Y^7 + 3*X*Y^6 + X*Y^5 + 4*X*Y^4 + X*Y^3 + 4*X + 
        3*Y^18 + 5*Y^17 + 4*Y^15 + Y^14 + Y^13 + 4*Y^12 + 3*Y^10 + 3*Y^9 + Y^8 + 
        6*Y^6 + 4*Y^5 + Y^4 + 5*Y^3 + 6*Y^2 + 5*Y + 6,
    -T^32 + 9/7*T^31 + 37/49*T^30 - 115/49*T^29 + 101/49*T^28 - 36/49*T^27 - 
        9/7*T^26 + 127/49*T^25 - 115/49*T^24 + 46/49*T^23 + 59/49*T^22 - 107/49*T^21
        + 8/7*T^20 + 1/7*T^19 - 5/49*T^18 - 20/49*T^17 + 20/49*T^15 + 5/49*T^14 - 
        1/7*T^13 - 8/7*T^12 + 107/49*T^11 - 59/49*T^10 - 46/49*T^9 + 115/49*T^8 - 
        127/49*T^7 + 9/7*T^6 + 36/49*T^5 - 101/49*T^4 + 115/49*T^3 - 37/49*T^2 - 
        9/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 2*X*Y^3 + 2*X*Y^2 + 2*X*Y + 
        3*X + 6*Y^18 + 2*Y^17 + 5*Y^16 + Y^15 + Y^14 + 6*Y^13 + Y^12 + 4*Y^11 + 
        6*Y^9 + 5*Y^7 + 2*Y^6 + Y^4 + 5*Y^3 + 6*Y^2 + 6*Y + 6,
    -T^32 - 5/7*T^31 - 18/49*T^30 + 1/7*T^29 + 55/49*T^28 + 2/49*T^27 - 4/7*T^26 - 
        59/49*T^25 - 47/49*T^24 + 23/49*T^23 + 54/49*T^22 + 52/49*T^21 + 30/49*T^20 
        - 29/49*T^19 - 40/49*T^18 - 23/49*T^17 + 23/49*T^15 + 40/49*T^14 + 
        29/49*T^13 - 30/49*T^12 - 52/49*T^11 - 54/49*T^10 - 23/49*T^9 + 47/49*T^8 + 
        59/49*T^7 + 4/7*T^6 - 2/49*T^5 - 55/49*T^4 - 1/7*T^3 + 18/49*T^2 + 5/7*T + 1
*], [*
    X^3 + X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 3*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 6*X*Y + 4*X + 
        4*Y^18 + Y^17 + Y^16 + 5*Y^15 + 5*Y^14 + 4*Y^13 + 4*Y^11 + 6*Y^10 + 2*Y^9 + 
        5*Y^8 + 4*Y^7 + 4*Y^6 + 4*Y^5 + 4*Y^4 + 6*Y^3 + 4*Y + 6,
    -T^32 - 9/7*T^31 - 45/49*T^30 + 30/49*T^29 + 37/49*T^28 + 54/49*T^27 + 3/49*T^26
        - 24/49*T^25 - 78/49*T^24 - 18/49*T^23 + 50/49*T^22 + 96/49*T^21 + 
        29/49*T^20 - 6/7*T^19 - 96/49*T^18 - 76/49*T^17 + 76/49*T^15 + 96/49*T^14 + 
        6/7*T^13 - 29/49*T^12 - 96/49*T^11 - 50/49*T^10 + 18/49*T^9 + 78/49*T^8 + 
        24/49*T^7 - 3/49*T^6 - 54/49*T^5 - 37/49*T^4 - 30/49*T^3 + 45/49*T^2 + 9/7*T
        + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 5*X*Y^5 + 5*X*Y^4 + X*Y^3 + 6*X*Y^2 + 5*X*Y + 6*X + 
        2*Y^18 + Y^17 + 2*Y^16 + Y^15 + 5*Y^12 + 4*Y^11 + 5*Y^10 + 2*Y^9 + 3*Y^8 + 
        3*Y^7 + 3*Y^6 + 5*Y^4 + 6*Y^3 + 3,
    -T^32 + 3/7*T^31 + 40/49*T^30 - 18/49*T^29 - 4/7*T^28 + 44/49*T^27 + 1/7*T^26 - 
        37/49*T^25 + 18/49*T^24 + 5/49*T^23 - 1/7*T^22 + 8/49*T^21 + 57/49*T^20 - 
        71/49*T^19 - 5/7*T^18 + 66/49*T^17 - 66/49*T^15 + 5/7*T^14 + 71/49*T^13 - 
        57/49*T^12 - 8/49*T^11 + 1/7*T^10 - 5/49*T^9 - 18/49*T^8 + 37/49*T^7 - 
        1/7*T^6 - 44/49*T^5 + 4/7*T^4 + 18/49*T^3 - 40/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 
        + 3*X*Y + X + 6*Y^18 + 5*Y^17 + 4*Y^16 + 6*Y^15 + 4*Y^14 + 5*Y^12 + 2*Y^11 +
        3*Y^10 + 6*Y^9 + 4*Y^8 + 5*Y^7 + 6*Y^6 + Y^5 + 5*Y^4 + Y^3 + 2*Y^2 + 6*Y + 
        4,
    -T^32 + 5/7*T^31 - 11/49*T^30 - 6/49*T^29 - 10/49*T^28 + 17/49*T^27 - 23/49*T^26
        - 5/49*T^25 - 22/49*T^24 + 31/49*T^23 + 1/7*T^22 - 31/49*T^21 + 8/49*T^20 + 
        19/49*T^19 - 18/49*T^18 - 1/49*T^17 + 1/49*T^15 + 18/49*T^14 - 19/49*T^13 - 
        8/49*T^12 + 31/49*T^11 - 1/7*T^10 - 31/49*T^9 + 22/49*T^8 + 5/49*T^7 + 
        23/49*T^6 - 17/49*T^5 + 10/49*T^4 + 6/49*T^3 + 11/49*T^2 - 5/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + 5*X*Y 
        + 5*X + 3*Y^18 + Y^17 + 2*Y^16 + 3*Y^15 + 6*Y^14 + 4*Y^13 + 4*Y^12 + Y^11 + 
        3*Y^10 + Y^9 + 4*Y^7 + Y^6 + 5*Y^5 + 5*Y^4 + 4*Y^3 + 5*Y^2 + 5*Y + 4,
    -T^32 + 8/7*T^31 - 31/49*T^30 + 8/7*T^29 - 17/49*T^28 + 16/49*T^27 - 25/49*T^26 
        - 32/49*T^25 - 53/49*T^24 + 82/49*T^23 - 3/49*T^22 + 60/49*T^21 - 12/49*T^20
        - 13/49*T^19 - 32/49*T^18 - 71/49*T^17 + 71/49*T^15 + 32/49*T^14 + 
        13/49*T^13 + 12/49*T^12 - 60/49*T^11 + 3/49*T^10 - 82/49*T^9 + 53/49*T^8 + 
        32/49*T^7 + 25/49*T^6 - 16/49*T^5 + 17/49*T^4 - 8/7*T^3 + 31/49*T^2 - 8/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^5 + X*Y^4 + 4*X*Y^2 + 6*X*Y + 4*Y^18 + 
        6*Y^17 + 5*Y^16 + Y^15 + 6*Y^14 + Y^13 + Y^12 + 4*Y^11 + 2*Y^10 + 3*Y^8 + 
        2*Y^7 + 4*Y^6 + 4*Y^5 + 6*Y^4 + 3*Y^3 + 3*Y^2 + 5*Y + 6,
    T^32 + 13/7*T^31 + 16/7*T^30 + 64/49*T^29 - 2/49*T^28 - 86/49*T^27 - 163/49*T^26
        - 197/49*T^25 - 24/7*T^24 - 75/49*T^23 + 23/49*T^22 + 16/7*T^21 + 
        137/49*T^20 + 15/7*T^19 + 5/7*T^18 - 2/7*T^17 - 30/49*T^16 - 2/7*T^15 + 
        5/7*T^14 + 15/7*T^13 + 137/49*T^12 + 16/7*T^11 + 23/49*T^10 - 75/49*T^9 - 
        24/7*T^8 - 197/49*T^7 - 163/49*T^6 - 86/49*T^5 - 2/49*T^4 + 64/49*T^3 + 
        16/7*T^2 + 13/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 2*X*Y^5 + 5*X*Y^3 + 5*X*Y^2 + 
        3*X*Y + 4*X + 4*Y^18 + 5*Y^17 + 3*Y^16 + 6*Y^15 + 5*Y^14 + 5*Y^13 + 2*Y^12 +
        4*Y^11 + 4*Y^10 + 3*Y^9 + 2*Y^8 + 5*Y^7 + 5*Y^6 + 3*Y^4 + 6*Y^3 + 5*Y^2 + 
        6*Y + 3,
    -T^32 - T^31 - 27/49*T^30 - 9/49*T^29 + 1/7*T^28 + 44/49*T^27 + 17/49*T^26 - 
        23/49*T^25 - 15/49*T^24 + 6/49*T^23 + 12/49*T^22 + 4/7*T^21 + 17/49*T^20 - 
        32/49*T^19 - 8/7*T^18 - 34/49*T^17 + 34/49*T^15 + 8/7*T^14 + 32/49*T^13 - 
        17/49*T^12 - 4/7*T^11 - 12/49*T^10 - 6/49*T^9 + 15/49*T^8 + 23/49*T^7 - 
        17/49*T^6 - 44/49*T^5 - 1/7*T^4 + 9/49*T^3 + 27/49*T^2 + T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 2*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 6*X*Y 
        + 2*X + 5*Y^18 + 5*Y^17 + 2*Y^16 + 2*Y^15 + Y^14 + 4*Y^13 + Y^12 + Y^11 + 
        6*Y^9 + 5*Y^8 + 5*Y^7 + 2*Y^6 + 2*Y^5 + 2*Y^4 + 4*Y^3 + 2*Y^2 + 4,
    -T^32 - 12/7*T^31 - 72/49*T^30 - 54/49*T^29 - 48/49*T^28 - 47/49*T^27 - 5/7*T^26
        - 34/49*T^25 - 52/49*T^24 - T^23 - 40/49*T^22 - 46/49*T^21 - 48/49*T^20 - 
        29/49*T^19 - 9/49*T^18 - 2/49*T^17 + 2/49*T^15 + 9/49*T^14 + 29/49*T^13 + 
        48/49*T^12 + 46/49*T^11 + 40/49*T^10 + T^9 + 52/49*T^8 + 34/49*T^7 + 5/7*T^6
        + 47/49*T^5 + 48/49*T^4 + 54/49*T^3 + 72/49*T^2 + 12/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 3*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 2*X*Y 
        + 2*X + 4*Y^18 + 5*Y^17 + Y^16 + 2*Y^15 + 4*Y^14 + 6*Y^13 + 4*Y^12 + 3*Y^11 
        + 4*Y^10 + 2*Y^9 + 6*Y^8 + Y^7 + 5*Y^6 + 6*Y^5 + 5*Y^4 + 6*Y^3 + 5*Y^2 + Y,
    -T^32 - 1/7*T^31 + 46/49*T^30 - 11/49*T^29 - 5/49*T^28 + 51/49*T^27 - 1/49*T^26 
        - 22/49*T^25 + 2/7*T^24 - 57/49*T^23 - 16/49*T^22 + 17/49*T^21 - 16/49*T^20 
        + 47/49*T^19 + 74/49*T^18 - 52/49*T^17 + 52/49*T^15 - 74/49*T^14 - 
        47/49*T^13 + 16/49*T^12 - 17/49*T^11 + 16/49*T^10 + 57/49*T^9 - 2/7*T^8 + 
        22/49*T^7 + 1/49*T^6 - 51/49*T^5 + 5/49*T^4 + 11/49*T^3 - 46/49*T^2 + 1/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^7 + X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 5*X*Y^2 + 5*X*Y 
        + 5*Y^18 + 3*Y^17 + 2*Y^16 + 3*Y^15 + 3*Y^14 + Y^13 + 5*Y^11 + 3*Y^9 + 5*Y^8
        + 6*Y^7 + 6*Y^6 + 4*Y^5 + Y^4 + Y^2 + 6*Y + 4,
    T^32 + 10/7*T^31 - 22/49*T^30 - 90/49*T^29 - 6/7*T^28 + 11/49*T^27 - 2/49*T^26 -
        18/49*T^25 - 10/49*T^24 + 31/49*T^23 + 69/49*T^22 + 30/49*T^21 - 30/49*T^20 
        - 3/7*T^19 + 4/49*T^18 - 4/49*T^17 - 2/7*T^16 - 4/49*T^15 + 4/49*T^14 - 
        3/7*T^13 - 30/49*T^12 + 30/49*T^11 + 69/49*T^10 + 31/49*T^9 - 10/49*T^8 - 
        18/49*T^7 - 2/49*T^6 + 11/49*T^5 - 6/7*T^4 - 90/49*T^3 - 22/49*T^2 + 10/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + X*Y^2 + X*Y + 2*Y^18 + 
        2*Y^17 + 5*Y^16 + 6*Y^15 + 5*Y^13 + Y^12 + 4*Y^11 + 4*Y^10 + Y^9 + 6*Y^8 + 
        6*Y^7 + 2*Y^6 + 5*Y^5 + 4*Y^4 + 4*Y^3 + 3*Y^2 + 5*Y + 5,
    -T^32 + 2/7*T^31 - 3/49*T^30 - 23/49*T^29 + 41/49*T^28 - 39/49*T^27 + 43/49*T^26
        - 18/49*T^25 - 13/49*T^24 - 10/49*T^23 - 32/49*T^22 + 53/49*T^21 - 
        54/49*T^20 + 4/7*T^19 + 1/7*T^18 + 18/49*T^17 - 18/49*T^15 - 1/7*T^14 - 
        4/7*T^13 + 54/49*T^12 - 53/49*T^11 + 32/49*T^10 + 10/49*T^9 + 13/49*T^8 + 
        18/49*T^7 - 43/49*T^6 + 39/49*T^5 - 41/49*T^4 + 23/49*T^3 + 3/49*T^2 - 2/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + X*Y^4 + 4*X*Y^3 + X*Y^2 
        + 6*X*Y + 5*X + 4*Y^18 + 5*Y^17 + Y^16 + 6*Y^15 + 6*Y^14 + Y^13 + 4*Y^12 + 
        5*Y^11 + 5*Y^10 + Y^9 + 4*Y^8 + 4*Y^7 + 3*Y^6 + 2*Y^5 + 6*Y^4 + 5*Y,
    -T^32 - 2*T^31 - 90/49*T^30 - 2*T^29 - 18/7*T^28 - 94/49*T^27 - 12/7*T^26 - 
        122/49*T^25 - 135/49*T^24 - 20/7*T^23 - 139/49*T^22 - 113/49*T^21 - 
        92/49*T^20 - 67/49*T^19 - 30/49*T^18 - 12/49*T^17 + 12/49*T^15 + 30/49*T^14 
        + 67/49*T^13 + 92/49*T^12 + 113/49*T^11 + 139/49*T^10 + 20/7*T^9 + 
        135/49*T^8 + 122/49*T^7 + 12/7*T^6 + 94/49*T^5 + 18/7*T^4 + 2*T^3 + 
        90/49*T^2 + 2*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 
        6*X*Y^2 + 5*X*Y + 3*X + 2*Y^18 + 5*Y^16 + 6*Y^15 + 2*Y^14 + 3*Y^13 + 3*Y^12 
        + 3*Y^11 + 5*Y^10 + Y^8 + Y^7 + 4*Y^6 + 4*Y^5 + 3*Y^4 + 4*Y^3 + 2*Y^2 + 2,
    -T^32 - T^31 + 1/7*T^30 + 36/49*T^29 + 6/49*T^28 - 15/49*T^27 - 13/49*T^26 - 
        19/49*T^25 + 10/49*T^24 + 51/49*T^23 + 6/7*T^22 - 10/49*T^21 - 20/49*T^20 + 
        8/49*T^19 + 41/49*T^18 + T^17 - T^15 - 41/49*T^14 - 8/49*T^13 + 20/49*T^12 +
        10/49*T^11 - 6/7*T^10 - 51/49*T^9 - 10/49*T^8 + 19/49*T^7 + 13/49*T^6 + 
        15/49*T^5 - 6/49*T^4 - 36/49*T^3 - 1/7*T^2 + T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 4*X*Y^2 + Y^18 +
        3*Y^17 + Y^16 + Y^14 + 6*Y^13 + 2*Y^11 + 5*Y^10 + 2*Y^9 + 3*Y^8 + Y^7 + 
        6*Y^6 + 4*Y^5 + 6*Y^4 + Y^3 + Y^2 + 4,
    -T^32 + 4/7*T^31 - 64/49*T^30 + 46/49*T^29 + T^28 - 24/49*T^27 + 85/49*T^26 - 
        74/49*T^25 + 3/49*T^24 - 6/49*T^23 - 23/49*T^22 + 53/49*T^21 - 19/49*T^20 + 
        16/49*T^19 - 26/49*T^18 - 11/49*T^17 + 11/49*T^15 + 26/49*T^14 - 16/49*T^13 
        + 19/49*T^12 - 53/49*T^11 + 23/49*T^10 + 6/49*T^9 - 3/49*T^8 + 74/49*T^7 - 
        85/49*T^6 + 24/49*T^5 - T^4 - 46/49*T^3 + 64/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 
        4*X*Y^2 + 3*X*Y + 4*X + Y^18 + 3*Y^17 + 3*Y^16 + 3*Y^15 + 5*Y^14 + 3*Y^12 + 
        6*Y^11 + 5*Y^10 + Y^9 + 3*Y^8 + 5*Y^7 + 4*Y^6 + 5*Y^5 + 6*Y^4 + 2*Y^3 + 
        5*Y^2 + 6*Y + 1,
    -T^32 + 39/49*T^30 - 40/49*T^29 - 33/49*T^28 + 53/49*T^27 + 4/7*T^26 - 
        46/49*T^25 + 45/49*T^24 + 55/49*T^23 - 50/49*T^22 + 5/49*T^21 + 75/49*T^20 -
        43/49*T^19 - 6/7*T^18 + 9/7*T^17 - 9/7*T^15 + 6/7*T^14 + 43/49*T^13 - 
        75/49*T^12 - 5/49*T^11 + 50/49*T^10 - 55/49*T^9 - 45/49*T^8 + 46/49*T^7 - 
        4/7*T^6 - 53/49*T^5 + 33/49*T^4 + 40/49*T^3 - 39/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 4*X*Y^3 + 4*X*Y^2 + X*Y 
        + 3*X + 3*Y^18 + 5*Y^17 + 2*Y^16 + Y^15 + 6*Y^14 + Y^13 + 6*Y^12 + Y^11 + 
        4*Y^10 + 5*Y^9 + 5*Y^8 + 5*Y^6 + 5*Y^5 + 5*Y^4 + 5*Y^3 + 2*Y^2 + 4*Y + 1,
    -T^32 + 12/7*T^31 - 78/49*T^30 + T^29 + 2/49*T^28 - 5/49*T^27 - 1/49*T^26 + 
        2/7*T^24 - 30/49*T^23 + 4/7*T^22 - 60/49*T^21 + 87/49*T^20 - 75/49*T^19 + 
        54/49*T^18 - 12/49*T^17 + 12/49*T^15 - 54/49*T^14 + 75/49*T^13 - 87/49*T^12 
        + 60/49*T^11 - 4/7*T^10 + 30/49*T^9 - 2/7*T^8 + 1/49*T^6 + 5/49*T^5 - 
        2/49*T^4 - T^3 + 78/49*T^2 - 12/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 
        3*X*Y + 6*Y^18 + 3*Y^17 + 3*Y^16 + 5*Y^15 + 3*Y^14 + 6*Y^13 + 5*Y^11 + 
        2*Y^10 + 4*Y^8 + 3*Y^7 + Y^6 + 4*Y^5 + Y^4 + 5*Y^3 + 6*Y^2 + 5*Y + 3,
    T^32 + 4/7*T^31 - 48/49*T^30 - 25/49*T^29 + 2/7*T^28 + 44/49*T^27 + 29/49*T^26 -
        39/49*T^25 - 25/49*T^24 + 2/7*T^23 + 3/49*T^22 + 6/49*T^21 + 6/49*T^20 - 
        11/49*T^19 - 1/7*T^18 + 1/49*T^17 + 3/49*T^16 + 1/49*T^15 - 1/7*T^14 - 
        11/49*T^13 + 6/49*T^12 + 6/49*T^11 + 3/49*T^10 + 2/7*T^9 - 25/49*T^8 - 
        39/49*T^7 + 29/49*T^6 + 44/49*T^5 + 2/7*T^4 - 25/49*T^3 - 48/49*T^2 + 4/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^7 + 5*X*Y^6 + X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 4*X*Y^2 + 2*X*Y 
        + 4*X + 3*Y^18 + 6*Y^17 + 3*Y^16 + 6*Y^15 + 6*Y^14 + 5*Y^13 + 2*Y^12 + 
        5*Y^11 + 3*Y^10 + 5*Y^9 + 4*Y^8 + 2*Y^7 + 3*Y^4 + 2*Y^3 + 2*Y^2 + 3*Y + 4,
    -T^32 + 6/7*T^31 + 10/7*T^30 - 83/49*T^29 - 46/49*T^28 + 78/49*T^27 + 17/49*T^26
        - 62/49*T^25 + 27/49*T^24 + 22/49*T^23 - 41/49*T^22 + 12/49*T^21 + 
        24/49*T^20 - 10/49*T^19 - 25/49*T^18 + 29/49*T^17 - 29/49*T^15 + 25/49*T^14 
        + 10/49*T^13 - 24/49*T^12 - 12/49*T^11 + 41/49*T^10 - 22/49*T^9 - 27/49*T^8 
        + 62/49*T^7 - 17/49*T^6 - 78/49*T^5 + 46/49*T^4 + 83/49*T^3 - 10/7*T^2 - 
        6/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + X*Y^7 + 3*X*Y^6 + 4*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 6*Y^18 +
        Y^17 + 6*Y^15 + Y^14 + 3*Y^12 + 5*Y^11 + 5*Y^10 + 2*Y^9 + Y^8 + 5*Y^7 + 
        6*Y^6 + 4*Y^5 + Y^4 + 5*Y^3 + 2*Y^2 + 1,
    T^32 + 1/7*T^31 - 48/49*T^30 - 34/49*T^29 - 2/7*T^28 + 6/49*T^27 + 41/49*T^26 - 
        13/49*T^25 - 23/49*T^24 + 43/49*T^23 + 4/7*T^22 - 24/49*T^21 - 20/49*T^20 - 
        1/7*T^19 + 3/49*T^18 + 1/7*T^17 + 2/49*T^16 + 1/7*T^15 + 3/49*T^14 - 
        1/7*T^13 - 20/49*T^12 - 24/49*T^11 + 4/7*T^10 + 43/49*T^9 - 23/49*T^8 - 
        13/49*T^7 + 41/49*T^6 + 6/49*T^5 - 2/7*T^4 - 34/49*T^3 - 48/49*T^2 + 1/7*T +
        1
*], [*
    X^3 + 2*X*Y^8 + X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + 2*X*Y 
        + 3*X + 6*Y^18 + 3*Y^17 + 2*Y^16 + 6*Y^14 + 5*Y^13 + 3*Y^12 + 3*Y^10 + 4*Y^9
        + 3*Y^8 + 2*Y^5 + 4*Y^4 + 5*Y^3 + 5*Y^2 + 2*Y + 2,
    -T^32 - 12/7*T^31 - 8/49*T^30 + 4/7*T^29 - 4/49*T^28 + 17/49*T^27 + 26/49*T^26 +
        12/49*T^25 + 30/49*T^24 + 6/7*T^23 + 41/49*T^22 - 2/49*T^21 - 48/49*T^20 + 
        4/49*T^19 + 19/49*T^18 - 44/49*T^17 + 44/49*T^15 - 19/49*T^14 - 4/49*T^13 + 
        48/49*T^12 + 2/49*T^11 - 41/49*T^10 - 6/7*T^9 - 30/49*T^8 - 12/49*T^7 - 
        26/49*T^6 - 17/49*T^5 + 4/49*T^4 - 4/7*T^3 + 8/49*T^2 + 12/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + X*Y^6 + X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 
        3*X*Y + 3*X + 6*Y^18 + 3*Y^17 + 4*Y^16 + 5*Y^15 + 4*Y^14 + Y^13 + Y^12 + 
        6*Y^11 + 6*Y^10 + 2*Y^8 + 3*Y^7 + 6*Y^6 + 3*Y^5 + 6*Y^4 + 4*Y^3 + 6*Y^2,
    -T^32 - T^31 + 22/49*T^30 + 33/49*T^29 + 41/49*T^28 + 23/49*T^27 - 62/49*T^26 - 
        39/49*T^25 + 13/49*T^24 + 5/7*T^23 + 51/49*T^22 - 27/49*T^21 - 65/49*T^20 - 
        17/49*T^19 + 12/49*T^18 + 41/49*T^17 - 41/49*T^15 - 12/49*T^14 + 17/49*T^13 
        + 65/49*T^12 + 27/49*T^11 - 51/49*T^10 - 5/7*T^9 - 13/49*T^8 + 39/49*T^7 + 
        62/49*T^6 - 23/49*T^5 - 41/49*T^4 - 33/49*T^3 - 22/49*T^2 + T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 
        X*Y^2 + 2*X*Y + 2*X + Y^18 + 5*Y^16 + 3*Y^15 + 6*Y^13 + 3*Y^12 + 3*Y^11 + 
        5*Y^10 + 5*Y^9 + Y^8 + 5*Y^7 + 2*Y^6 + 3*Y^5 + 6*Y^4 + 4*Y^3 + Y^2 + 4*Y + 
        4,
    -T^32 + 8/7*T^31 + 45/49*T^30 - 60/49*T^29 - 54/49*T^28 + 83/49*T^27 + 
        26/49*T^26 - 45/49*T^25 - 55/49*T^24 + 55/49*T^23 + 45/49*T^22 - 45/49*T^21 
        - 51/49*T^20 + 48/49*T^19 + 22/49*T^18 - 30/49*T^17 + 30/49*T^15 - 
        22/49*T^14 - 48/49*T^13 + 51/49*T^12 + 45/49*T^11 - 45/49*T^10 - 55/49*T^9 +
        55/49*T^8 + 45/49*T^7 - 26/49*T^6 - 83/49*T^5 + 54/49*T^4 + 60/49*T^3 - 
        45/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + X*Y^2 + 4*X*Y 
        + 6*X + 3*Y^18 + 5*Y^16 + 6*Y^15 + 6*Y^13 + 4*Y^12 + Y^11 + 2*Y^10 + 3*Y^9 +
        Y^8 + 3*Y^7 + 5*Y^6 + 2*Y^3 + 4*Y^2 + 5,
    -T^32 - 1/7*T^31 + 51/49*T^30 - T^29 - 47/49*T^28 + 38/49*T^27 - 4/49*T^26 - 
        52/49*T^25 - 25/49*T^24 + 39/49*T^23 + 8/49*T^22 - 51/49*T^21 - 37/49*T^20 +
        47/49*T^19 + 6/7*T^18 - 86/49*T^17 + 86/49*T^15 - 6/7*T^14 - 47/49*T^13 + 
        37/49*T^12 + 51/49*T^11 - 8/49*T^10 - 39/49*T^9 + 25/49*T^8 + 52/49*T^7 + 
        4/49*T^6 - 38/49*T^5 + 47/49*T^4 + T^3 - 51/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + X*Y^7 + X*Y^6 + 5*X*Y^5 + X*Y^4 + 5*X*Y^3 + 4*X + 
        4*Y^18 + 4*Y^17 + 4*Y^16 + 3*Y^15 + 2*Y^14 + 4*Y^13 + 4*Y^12 + 5*Y^11 + 
        2*Y^10 + 5*Y^7 + Y^6 + 3*Y^5 + Y^4 + Y^3 + 3*Y^2 + 6*Y + 6,
    T^32 - 1/7*T^31 + 26/49*T^30 + 41/49*T^29 + 24/49*T^28 - 31/49*T^27 + 45/49*T^26
        - 22/49*T^25 - 33/49*T^24 - 17/49*T^23 - 2/49*T^22 - T^21 - 15/49*T^20 + 
        6/49*T^19 - 4/49*T^18 + 1/49*T^17 + 25/49*T^16 + 1/49*T^15 - 4/49*T^14 + 
        6/49*T^13 - 15/49*T^12 - T^11 - 2/49*T^10 - 17/49*T^9 - 33/49*T^8 - 
        22/49*T^7 + 45/49*T^6 - 31/49*T^5 + 24/49*T^4 + 41/49*T^3 + 26/49*T^2 - 
        1/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + 4*X*Y^3 + 6*X*Y^2 
        + 6*X*Y + 6*X + Y^18 + 2*Y^17 + Y^16 + 5*Y^15 + 2*Y^14 + 6*Y^13 + 6*Y^12 + 
        3*Y^11 + 2*Y^10 + 3*Y^9 + 4*Y^8 + 3*Y^7 + 3*Y^5 + Y^4 + 3*Y^3 + 3*Y^2 + Y + 
        2,
    T^32 - 4/7*T^31 + 34/49*T^30 - 34/49*T^29 - 10/49*T^28 + 23/49*T^27 - 5/7*T^26 +
        20/49*T^25 - 31/49*T^24 - 4/49*T^23 + 20/49*T^22 + 8/49*T^21 + 10/49*T^20 + 
        6/49*T^19 - 22/49*T^18 + 18/49*T^17 - 12/49*T^16 + 18/49*T^15 - 22/49*T^14 +
        6/49*T^13 + 10/49*T^12 + 8/49*T^11 + 20/49*T^10 - 4/49*T^9 - 31/49*T^8 + 
        20/49*T^7 - 5/7*T^6 + 23/49*T^5 - 10/49*T^4 - 34/49*T^3 + 34/49*T^2 - 4/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + X*Y^3 + X*Y^2 + 
        4*X*Y + 4*Y^18 + 4*Y^17 + 5*Y^15 + 6*Y^14 + 3*Y^13 + Y^12 + 4*Y^10 + 3*Y^9 +
        5*Y^7 + 3*Y^6 + 5*Y^5 + Y^4 + 6*Y^3 + 3*Y^2 + 2*Y + 1,
    T^32 + 9/7*T^31 + 11/49*T^30 - 22/49*T^29 + 19/49*T^28 + 53/49*T^27 + 23/49*T^26
        - 15/49*T^25 + 8/49*T^23 - 25/49*T^22 - 33/49*T^21 - 11/49*T^20 - 2/7*T^19 -
        37/49*T^18 - 40/49*T^17 - 33/49*T^16 - 40/49*T^15 - 37/49*T^14 - 2/7*T^13 - 
        11/49*T^12 - 33/49*T^11 - 25/49*T^10 + 8/49*T^9 - 15/49*T^7 + 23/49*T^6 + 
        53/49*T^5 + 19/49*T^4 - 22/49*T^3 + 11/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + 2*X*Y 
        + 3*X + 3*Y^18 + Y^17 + 4*Y^16 + 4*Y^15 + Y^14 + Y^13 + Y^12 + 2*Y^11 + 
        4*Y^10 + Y^9 + 5*Y^7 + 4*Y^6 + 5*Y^5 + Y^4 + 6*Y^3 + 2*Y^2 + 6*Y + 2,
    -T^32 + 15/7*T^31 - 96/49*T^30 + 27/49*T^29 + 23/49*T^28 + 8/49*T^27 - 
        17/49*T^26 - 13/49*T^25 + 12/7*T^24 - 82/49*T^23 + 24/49*T^22 - 46/49*T^21 +
        102/49*T^20 - 124/49*T^19 + 30/49*T^18 + 13/49*T^17 - 13/49*T^15 - 
        30/49*T^14 + 124/49*T^13 - 102/49*T^12 + 46/49*T^11 - 24/49*T^10 + 82/49*T^9
        - 12/7*T^8 + 13/49*T^7 + 17/49*T^6 - 8/49*T^5 - 23/49*T^4 - 27/49*T^3 + 
        96/49*T^2 - 15/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 2*X*Y^4 + 2*X*Y^2 + 4*Y^18 + 
        4*Y^17 + 2*Y^16 + 6*Y^15 + Y^13 + Y^12 + 4*Y^11 + 4*Y^10 + 3*Y^9 + Y^5 + 
        6*Y^4 + 5*Y^3 + 3*Y^2 + 6*Y + 1,
    T^32 + 4/7*T^31 + 68/49*T^30 + 94/49*T^29 + 52/49*T^28 + 17/7*T^27 + 80/49*T^26 
        + 87/49*T^25 + 99/49*T^24 + 57/49*T^23 + 73/49*T^22 + 37/49*T^21 + 
        55/49*T^20 + 34/49*T^19 + 30/49*T^18 + 48/49*T^17 + 5/49*T^16 + 48/49*T^15 +
        30/49*T^14 + 34/49*T^13 + 55/49*T^12 + 37/49*T^11 + 73/49*T^10 + 57/49*T^9 +
        99/49*T^8 + 87/49*T^7 + 80/49*T^6 + 17/7*T^5 + 52/49*T^4 + 94/49*T^3 + 
        68/49*T^2 + 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + X*Y^7 + 5*X*Y^6 + 5*X*Y^3 + X*Y^2 + 4*X*Y + 4*Y^18 + 
        Y^17 + 5*Y^16 + 6*Y^15 + 5*Y^14 + 5*Y^13 + Y^11 + 5*Y^10 + 6*Y^8 + 2*Y^7 + 
        3*Y^6 + 5*Y^5 + 5*Y^4 + 5*Y^3 + 4*Y^2 + 5*Y + 1,
    T^32 - 2/7*T^31 - 57/49*T^30 + 3/49*T^29 + 8/7*T^28 - 5/49*T^27 - 59/49*T^26 - 
        10/49*T^25 + 10/7*T^24 + 13/49*T^23 - 74/49*T^22 + 1/7*T^21 + 92/49*T^20 - 
        3/49*T^19 - 99/49*T^18 + 3/49*T^17 + 81/49*T^16 + 3/49*T^15 - 99/49*T^14 - 
        3/49*T^13 + 92/49*T^12 + 1/7*T^11 - 74/49*T^10 + 13/49*T^9 + 10/7*T^8 - 
        10/49*T^7 - 59/49*T^6 - 5/49*T^5 + 8/7*T^4 + 3/49*T^3 - 57/49*T^2 - 2/7*T + 
        1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + X*Y^4 + 2*X*Y^3 + 
        3*X*Y^2 + X*Y + 3*X + 4*Y^18 + 5*Y^16 + 3*Y^15 + 3*Y^14 + Y^12 + 3*Y^11 + 
        Y^10 + 4*Y^8 + Y^6 + 5*Y^5 + 4*Y^4 + 3*Y^3 + 6*Y^2,
    T^32 + 8/7*T^31 + 58/49*T^30 + 1/7*T^29 + 8/49*T^28 + 51/49*T^27 + 76/49*T^26 + 
        45/49*T^25 - 24/49*T^24 - 20/49*T^23 + 45/49*T^22 + 79/49*T^21 + 6/7*T^20 - 
        T^19 - 45/49*T^18 + 11/49*T^17 + 9/7*T^16 + 11/49*T^15 - 45/49*T^14 - T^13 +
        6/7*T^12 + 79/49*T^11 + 45/49*T^10 - 20/49*T^9 - 24/49*T^8 + 45/49*T^7 + 
        76/49*T^6 + 51/49*T^5 + 8/49*T^4 + 1/7*T^3 + 58/49*T^2 + 8/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 6*X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 4*X*Y^2 + 2*X + 6*Y^18 +
        6*Y^17 + 2*Y^16 + Y^15 + 6*Y^14 + 6*Y^13 + 6*Y^12 + 4*Y^11 + Y^10 + 3*Y^9 + 
        5*Y^8 + 2*Y^7 + Y^6 + 5*Y^5 + 5*Y^4 + 2*Y^3 + 4*Y^2 + Y + 3,
    -T^32 + 20/49*T^30 + 6/7*T^29 + 6/49*T^28 - 17/49*T^27 - 18/49*T^26 + 12/49*T^25
        + 15/49*T^23 - 2/49*T^22 - 26/49*T^21 - 19/49*T^20 - 3/49*T^19 + 30/49*T^18 
        + 20/49*T^17 - 20/49*T^15 - 30/49*T^14 + 3/49*T^13 + 19/49*T^12 + 26/49*T^11
        + 2/49*T^10 - 15/49*T^9 - 12/49*T^7 + 18/49*T^6 + 17/49*T^5 - 6/49*T^4 - 
        6/7*T^3 - 20/49*T^2 + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + 
        6*X*Y^2 + 2*X*Y + X + 5*Y^18 + 4*Y^17 + 5*Y^16 + 6*Y^15 + 4*Y^12 + 5*Y^11 + 
        4*Y^10 + 4*Y^9 + 2*Y^8 + 3*Y^7 + 6*Y^5 + 5*Y^4 + 5*Y^3 + 3*Y + 6,
    -T^32 + 5/7*T^31 + 11/7*T^30 - 118/49*T^29 + 37/49*T^28 + 108/49*T^27 - 
        23/7*T^26 + 50/49*T^25 + 92/49*T^24 - 117/49*T^23 + 45/49*T^22 + 13/49*T^21 
        - 2/49*T^20 + 29/49*T^19 - 88/49*T^18 + 52/49*T^17 - 52/49*T^15 + 88/49*T^14
        - 29/49*T^13 + 2/49*T^12 - 13/49*T^11 - 45/49*T^10 + 117/49*T^9 - 92/49*T^8 
        - 50/49*T^7 + 23/7*T^6 - 108/49*T^5 - 37/49*T^4 + 118/49*T^3 - 11/7*T^2 - 
        5/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 
        4*X*Y^2 + X*Y + 4*Y^18 + 5*Y^17 + 4*Y^16 + 2*Y^15 + 4*Y^14 + 4*Y^13 + 2*Y^12
        + 4*Y^11 + 5*Y^10 + 3*Y^9 + 5*Y^8 + 3*Y^7 + 2*Y^6 + Y^5 + 6*Y^4 + Y^3 + 
        4*Y^2 + 6*Y + 2,
    -T^32 - 9/7*T^31 - 3/7*T^30 + 25/49*T^29 + 40/49*T^28 + 33/49*T^27 + 51/49*T^26 
        + 39/49*T^25 + 19/49*T^24 - 24/49*T^23 - 45/49*T^22 - 18/49*T^21 + 3/7*T^20 
        + 39/49*T^19 + 8/49*T^18 + 1/7*T^17 - 1/7*T^15 - 8/49*T^14 - 39/49*T^13 - 
        3/7*T^12 + 18/49*T^11 + 45/49*T^10 + 24/49*T^9 - 19/49*T^8 - 39/49*T^7 - 
        51/49*T^6 - 33/49*T^5 - 40/49*T^4 - 25/49*T^3 + 3/7*T^2 + 9/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 2*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 6*X*Y 
        + 3*X + 6*Y^18 + Y^17 + 2*Y^16 + Y^15 + Y^14 + 6*Y^13 + 4*Y^12 + Y^11 + 
        5*Y^10 + 5*Y^9 + 5*Y^8 + 6*Y^7 + 3*Y^6 + 4*Y^5 + 3*Y^4 + 6*Y^3 + 5*Y^2 + 5*Y
        + 1,
    T^32 + T^31 - 17/49*T^30 - 1/49*T^29 - 5/7*T^28 - 80/49*T^27 - 2/49*T^26 + 
        29/49*T^25 + 24/49*T^24 + 54/49*T^23 + 18/49*T^22 - 33/49*T^21 - 25/49*T^20 
        - 40/49*T^19 - 5/49*T^18 + 25/49*T^17 - 4/49*T^16 + 25/49*T^15 - 5/49*T^14 -
        40/49*T^13 - 25/49*T^12 - 33/49*T^11 + 18/49*T^10 + 54/49*T^9 + 24/49*T^8 + 
        29/49*T^7 - 2/49*T^6 - 80/49*T^5 - 5/7*T^4 - 1/49*T^3 - 17/49*T^2 + T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + 5*Y^18 + 4*Y^16 + 6*Y^15 + 6*Y^14 + 3*Y^13 + 3*Y^12 + Y^9 + Y^8 + 
        4*Y^7 + 5*Y^6 + 2*Y^5 + 3*Y^3 + 5*Y^2 + 2*Y + 3,
    T^32 + 4/7*T^31 + 53/49*T^30 + 22/49*T^29 + 37/49*T^28 + 47/49*T^27 + 8/49*T^26 
        + 13/49*T^25 - 19/49*T^24 - 1/7*T^23 - 19/49*T^22 - 26/49*T^21 - 26/49*T^20 
        - 39/49*T^19 - 37/49*T^18 - 38/49*T^17 - 4/7*T^16 - 38/49*T^15 - 37/49*T^14 
        - 39/49*T^13 - 26/49*T^12 - 26/49*T^11 - 19/49*T^10 - 1/7*T^9 - 19/49*T^8 + 
        13/49*T^7 + 8/49*T^6 + 47/49*T^5 + 37/49*T^4 + 22/49*T^3 + 53/49*T^2 + 4/7*T
        + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + 5*X*Y 
        + 6*X + 3*Y^18 + Y^17 + 6*Y^16 + 3*Y^15 + 2*Y^14 + 3*Y^12 + 2*Y^11 + Y^10 + 
        6*Y^9 + 3*Y^8 + Y^7 + 2*Y^6 + 2*Y^5 + 3*Y^4 + Y^3 + 4*Y^2 + 3*Y + 1,
    -T^32 + 1/7*T^31 + 23/49*T^30 + 15/49*T^29 + 6/49*T^28 + 33/49*T^27 + 20/49*T^26
        - 25/49*T^25 - 30/49*T^24 - 10/49*T^23 + 23/49*T^22 - 24/49*T^21 + 2/49*T^20
        - 4/49*T^19 - 19/49*T^17 + 19/49*T^15 + 4/49*T^13 - 2/49*T^12 + 24/49*T^11 -
        23/49*T^10 + 10/49*T^9 + 30/49*T^8 + 25/49*T^7 - 20/49*T^6 - 33/49*T^5 - 
        6/49*T^4 - 15/49*T^3 - 23/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + X*Y^5 + 6*X*Y^4 + X*Y^3 + 5*X*Y^2 
        + 6*X*Y + 3*X + 3*Y^18 + 2*Y^17 + 3*Y^16 + 2*Y^15 + 3*Y^14 + 5*Y^13 + Y^12 +
        6*Y^11 + 3*Y^10 + Y^9 + 5*Y^8 + 5*Y^7 + 3*Y^6 + 3*Y^5 + 6*Y^4 + 4*Y^3 + 
        5*Y^2 + 5*Y + 6,
    T^32 - 5/7*T^31 + 25/49*T^30 - 24/49*T^29 + 5/49*T^28 + 23/49*T^27 - 80/49*T^26 
        + 23/49*T^25 - 17/49*T^24 - 3/49*T^23 + 62/49*T^22 - 78/49*T^21 + 60/49*T^20
        - 8/49*T^19 + 8/49*T^18 + 6/7*T^17 - 88/49*T^16 + 6/7*T^15 + 8/49*T^14 - 
        8/49*T^13 + 60/49*T^12 - 78/49*T^11 + 62/49*T^10 - 3/49*T^9 - 17/49*T^8 + 
        23/49*T^7 - 80/49*T^6 + 23/49*T^5 + 5/49*T^4 - 24/49*T^3 + 25/49*T^2 - 5/7*T
        + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 4*X*Y^4 + 4*X*Y^3 + 6*X*Y + 5*X + 
        6*Y^18 + 3*Y^17 + 5*Y^16 + 4*Y^15 + 2*Y^14 + Y^13 + 5*Y^12 + 6*Y^10 + Y^9 + 
        Y^8 + 6*Y^6 + 2*Y^5 + 6*Y^4 + 2*Y^3 + 5*Y^2 + 2*Y + 4,
    -T^32 - 2/7*T^31 + 3/7*T^30 - 12/49*T^29 - 38/49*T^28 + 2/49*T^27 - 1/49*T^26 + 
        1/49*T^25 - 20/49*T^24 - 1/49*T^23 + 31/49*T^22 + 25/49*T^21 - 3/49*T^20 - 
        3/49*T^19 + 6/49*T^18 + 19/49*T^17 - 19/49*T^15 - 6/49*T^14 + 3/49*T^13 + 
        3/49*T^12 - 25/49*T^11 - 31/49*T^10 + 1/49*T^9 + 20/49*T^8 - 1/49*T^7 + 
        1/49*T^6 - 2/49*T^5 + 38/49*T^4 + 12/49*T^3 - 3/7*T^2 + 2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + X*Y^6 + 3*X*Y^5 + X*Y^4 + 6*X*Y^3 + X*Y + 
        6*X + 3*Y^18 + Y^17 + 6*Y^16 + Y^15 + 5*Y^14 + 2*Y^13 + 6*Y^11 + 5*Y^10 + 
        4*Y^9 + 2*Y^8 + 3*Y^7 + Y^6 + 3*Y^5 + 6*Y^3 + 5*Y^2 + 4*Y + 6,
    T^32 - 3/7*T^31 - 5/49*T^30 - 17/49*T^29 + 23/49*T^28 - 8/49*T^27 + 3/49*T^26 + 
        4/7*T^25 - 41/49*T^24 + 10/49*T^23 - 10/49*T^22 + 37/49*T^21 - 30/49*T^20 - 
        18/49*T^19 + 11/49*T^18 - 17/49*T^17 + 13/49*T^16 - 17/49*T^15 + 11/49*T^14 
        - 18/49*T^13 - 30/49*T^12 + 37/49*T^11 - 10/49*T^10 + 10/49*T^9 - 41/49*T^8 
        + 4/7*T^7 + 3/49*T^6 - 8/49*T^5 + 23/49*T^4 - 17/49*T^3 - 5/49*T^2 - 3/7*T +
        1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + X*Y^3 + X*Y + 
        3*X + 6*Y^18 + 3*Y^17 + 5*Y^16 + 4*Y^15 + 2*Y^14 + 3*Y^13 + Y^12 + 2*Y^11 + 
        Y^10 + 6*Y^8 + 3*Y^6 + 5*Y^4 + 6*Y^3 + 5*Y^2 + 3,
    T^32 + 2/7*T^31 - 36/49*T^30 + 2/49*T^29 + 15/49*T^28 + 4/49*T^27 + 10/49*T^26 -
        6/49*T^25 - 10/49*T^24 - 17/49*T^23 + 10/49*T^22 + 8/49*T^21 - 6/49*T^20 - 
        6/49*T^19 - 4/7*T^18 - 19/49*T^17 + 33/49*T^16 - 19/49*T^15 - 4/7*T^14 - 
        6/49*T^13 - 6/49*T^12 + 8/49*T^11 + 10/49*T^10 - 17/49*T^9 - 10/49*T^8 - 
        6/49*T^7 + 10/49*T^6 + 4/49*T^5 + 15/49*T^4 + 2/49*T^3 - 36/49*T^2 + 2/7*T +
        1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 
        4*X*Y^2 + 2*X*Y + 3*X + 6*Y^18 + 5*Y^17 + 4*Y^16 + 6*Y^15 + 3*Y^14 + 3*Y^13 
        + 6*Y^12 + 3*Y^11 + Y^10 + 4*Y^9 + 4*Y^8 + 6*Y^7 + 3*Y^6 + Y^5 + 3*Y^4 + 
        2*Y^3 + 5*Y^2 + Y + 2,
    T^32 + 8/7*T^31 + 16/49*T^30 - 39/49*T^29 - 8/7*T^28 - 38/49*T^27 - 37/49*T^26 -
        12/49*T^25 + 36/49*T^24 + 51/49*T^23 + 23/49*T^22 + 12/49*T^21 + 16/49*T^20 
        + 13/49*T^19 - 16/49*T^18 - 19/49*T^17 - 10/49*T^16 - 19/49*T^15 - 
        16/49*T^14 + 13/49*T^13 + 16/49*T^12 + 12/49*T^11 + 23/49*T^10 + 51/49*T^9 +
        36/49*T^8 - 12/49*T^7 - 37/49*T^6 - 38/49*T^5 - 8/7*T^4 - 39/49*T^3 + 
        16/49*T^2 + 8/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + X*Y^4 + 3*X*Y^2 + X*Y + Y^18 + 
        Y^16 + 3*Y^15 + 4*Y^14 + 3*Y^13 + 6*Y^11 + 5*Y^10 + Y^8 + Y^7 + 2*Y^6 + 
        2*Y^5 + Y^4 + 5*Y^3 + 2*Y^2 + 4*Y + 6,
    -T^32 - 1/7*T^31 + 12/49*T^30 - 44/49*T^29 + 27/49*T^28 + 38/49*T^27 - 
        12/49*T^26 + 24/49*T^25 + 38/49*T^24 - 36/49*T^23 - 2/7*T^22 + 46/49*T^21 - 
        4/7*T^20 + 6/49*T^19 + 53/49*T^18 - 27/49*T^17 + 27/49*T^15 - 53/49*T^14 - 
        6/49*T^13 + 4/7*T^12 - 46/49*T^11 + 2/7*T^10 + 36/49*T^9 - 38/49*T^8 - 
        24/49*T^7 + 12/49*T^6 - 38/49*T^5 - 27/49*T^4 + 44/49*T^3 - 12/49*T^2 + 
        1/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + X*Y^3 + 4*X*Y^2 + 5*X*Y 
        + 5*X + 2*Y^18 + 2*Y^17 + Y^16 + 4*Y^15 + 4*Y^14 + 5*Y^13 + 3*Y^12 + 6*Y^11 
        + 3*Y^8 + 2*Y^7 + Y^6 + 2*Y^5 + 5*Y^4 + 6*Y^2 + 4*Y + 2,
    -T^32 - 2/7*T^31 + 3/7*T^30 + 15/49*T^29 - 11/49*T^28 + 5/49*T^27 + 53/49*T^26 +
        8/49*T^25 - 9/49*T^24 - 1/49*T^23 - 1/49*T^22 - 12/49*T^21 - 25/49*T^20 + 
        33/49*T^19 - 3/49*T^18 - 22/49*T^17 + 22/49*T^15 + 3/49*T^14 - 33/49*T^13 + 
        25/49*T^12 + 12/49*T^11 + 1/49*T^10 + 1/49*T^9 + 9/49*T^8 - 8/49*T^7 - 
        53/49*T^6 - 5/49*T^5 + 11/49*T^4 - 15/49*T^3 - 3/7*T^2 + 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + 2*X*Y^4 + 4*X*Y^3 + X*Y^2 + 5*X*Y 
        + 3*X + 3*Y^18 + 5*Y^17 + 6*Y^16 + 3*Y^15 + 2*Y^14 + Y^13 + 2*Y^12 + 6*Y^11 
        + 5*Y^10 + 2*Y^9 + 5*Y^8 + 6*Y^7 + 4*Y^6 + 2*Y^5 + 6*Y^4 + 5*Y^2 + 4*Y + 3,
    -T^32 + 4/7*T^31 + 2/49*T^30 - 33/49*T^29 + 27/49*T^28 - 8/49*T^27 - 18/49*T^26 
        + 19/49*T^25 - 15/49*T^24 - 19/49*T^23 - 9/49*T^20 + 13/49*T^19 - 4/7*T^18 +
        16/49*T^17 - 16/49*T^15 + 4/7*T^14 - 13/49*T^13 + 9/49*T^12 + 19/49*T^9 + 
        15/49*T^8 - 19/49*T^7 + 18/49*T^6 + 8/49*T^5 - 27/49*T^4 + 33/49*T^3 - 
        2/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + X*Y^5 + 4*X*Y^4 + 5*X*Y^2 + 5*X*Y + 4*X + 
        6*Y^18 + 2*Y^17 + 2*Y^16 + 4*Y^15 + 6*Y^14 + Y^13 + Y^12 + 4*Y^11 + 4*Y^10 +
        4*Y^9 + 4*Y^8 + 3*Y^7 + 5*Y^6 + 3*Y^5 + 5*Y^4 + 3*Y^3 + 6*Y^2,
    -T^32 - 17/7*T^31 - 123/49*T^30 - 80/49*T^29 - 58/49*T^28 - T^27 - 38/49*T^26 + 
        1/7*T^25 + 61/49*T^24 + 82/49*T^23 + 93/49*T^22 + 117/49*T^21 + 114/49*T^20 
        + 13/7*T^19 + 73/49*T^18 + T^17 - T^15 - 73/49*T^14 - 13/7*T^13 - 
        114/49*T^12 - 117/49*T^11 - 93/49*T^10 - 82/49*T^9 - 61/49*T^8 - 1/7*T^7 + 
        38/49*T^6 + T^5 + 58/49*T^4 + 80/49*T^3 + 123/49*T^2 + 17/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + X*Y^3 + 6*X*Y^2 + X*Y + 
        6*X + 4*Y^18 + 3*Y^16 + 2*Y^15 + 4*Y^14 + Y^13 + Y^12 + 6*Y^11 + Y^10 + 
        6*Y^9 + 6*Y^8 + 2*Y^7 + 6*Y^6 + 2*Y^5 + 3*Y^4 + 6*Y^3 + 6*Y^2 + 4*Y,
    -T^32 - T^31 - 8/49*T^30 + 15/49*T^29 + 31/49*T^28 + 38/49*T^27 + 41/49*T^26 - 
        13/49*T^25 - 46/49*T^24 - 20/49*T^23 + 26/49*T^22 + 23/49*T^21 - 1/49*T^20 +
        9/49*T^19 - 5/7*T^18 - 47/49*T^17 + 47/49*T^15 + 5/7*T^14 - 9/49*T^13 + 
        1/49*T^12 - 23/49*T^11 - 26/49*T^10 + 20/49*T^9 + 46/49*T^8 + 13/49*T^7 - 
        41/49*T^6 - 38/49*T^5 - 31/49*T^4 - 15/49*T^3 + 8/49*T^2 + T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 
        2*X*Y^2 + 6*X*Y + 6*X + 5*Y^18 + 6*Y^17 + 2*Y^14 + 3*Y^13 + 4*Y^12 + Y^10 + 
        3*Y^9 + 6*Y^8 + 6*Y^7 + Y^6 + 4*Y^5 + 2*Y^4 + 3*Y^3 + 6*Y^2 + 4*Y + 1,
    -T^32 + 8/7*T^31 - 12/49*T^30 - 12/49*T^29 + 26/49*T^28 + 2/7*T^27 - 38/49*T^26 
        + 73/49*T^25 - 54/49*T^24 - 25/49*T^23 + 27/49*T^22 - 13/49*T^21 - 
        16/49*T^20 + 40/49*T^19 - 33/49*T^18 + 29/49*T^17 - 29/49*T^15 + 33/49*T^14 
        - 40/49*T^13 + 16/49*T^12 + 13/49*T^11 - 27/49*T^10 + 25/49*T^9 + 54/49*T^8 
        - 73/49*T^7 + 38/49*T^6 - 2/7*T^5 - 26/49*T^4 + 12/49*T^3 + 12/49*T^2 - 
        8/7*T + 1
*], [*
    X^3 + 3*X*Y^6 + 3*X*Y^5 + 6*X + 6*Y^18 + 2*Y^17 + 5*Y^16 + 3*Y^15 + 2*Y^13 + 
        3*Y^12 + Y^11 + Y^9 + Y^8 + 5*Y^7 + 3*Y^6 + 5*Y^4 + 5*Y^3 + 2*Y,
    T^32 + 3/7*T^31 - 87/49*T^30 - 33/49*T^29 + 65/49*T^28 + 43/49*T^27 + 4/49*T^26 
        - 6/7*T^25 - 72/49*T^24 + 2/7*T^23 + 69/49*T^22 - 3/49*T^21 - 3/7*T^20 - 
        8/49*T^19 - 26/49*T^18 + 8/49*T^17 + 39/49*T^16 + 8/49*T^15 - 26/49*T^14 - 
        8/49*T^13 - 3/7*T^12 - 3/49*T^11 + 69/49*T^10 + 2/7*T^9 - 72/49*T^8 - 
        6/7*T^7 + 4/49*T^6 + 43/49*T^5 + 65/49*T^4 - 33/49*T^3 - 87/49*T^2 + 3/7*T +
        1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 
        6*X*Y^2 + 5*X*Y + 6*Y^18 + 2*Y^17 + Y^16 + 5*Y^15 + 5*Y^14 + 6*Y^13 + 4*Y^12
        + 5*Y^9 + Y^8 + 2*Y^6 + 6*Y^5 + 2*Y^4 + 2*Y + 6,
    T^32 + 17/7*T^31 + 13/7*T^30 - 24/49*T^29 - 132/49*T^28 - 167/49*T^27 - 
        62/49*T^26 + 95/49*T^25 + 20/7*T^24 + 86/49*T^23 - 10/49*T^22 - 115/49*T^21 
        - 148/49*T^20 - 97/49*T^19 - 6/49*T^18 + 16/7*T^17 + 174/49*T^16 + 16/7*T^15
        - 6/49*T^14 - 97/49*T^13 - 148/49*T^12 - 115/49*T^11 - 10/49*T^10 + 
        86/49*T^9 + 20/7*T^8 + 95/49*T^7 - 62/49*T^6 - 167/49*T^5 - 132/49*T^4 - 
        24/49*T^3 + 13/7*T^2 + 17/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 5*X*Y^2 
        + X*Y + 6*X + 3*Y^18 + 6*Y^17 + Y^16 + 6*Y^14 + 2*Y^13 + 4*Y^12 + 3*Y^11 + 
        2*Y^9 + 5*Y^8 + Y^7 + 6*Y^6 + Y^5 + 5*Y^4 + 5*Y^3 + 3*Y^2 + 4*Y + 5,
    T^32 - 2/7*T^31 - 82/49*T^30 + 13/49*T^29 + 37/49*T^28 + 26/49*T^27 - 13/49*T^26
        - 17/49*T^25 + 40/49*T^24 - 5/49*T^23 - 50/49*T^22 - 3/7*T^21 + 31/49*T^20 +
        29/49*T^19 - 2/7*T^18 - 11/49*T^17 + 5/49*T^16 - 11/49*T^15 - 2/7*T^14 + 
        29/49*T^13 + 31/49*T^12 - 3/7*T^11 - 50/49*T^10 - 5/49*T^9 + 40/49*T^8 - 
        17/49*T^7 - 13/49*T^6 + 26/49*T^5 + 37/49*T^4 + 13/49*T^3 - 82/49*T^2 - 
        2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 3*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 5*X*Y + 6*X + 
        4*Y^18 + 2*Y^17 + 5*Y^16 + 6*Y^15 + 5*Y^14 + 5*Y^13 + 4*Y^12 + 3*Y^11 + 
        3*Y^9 + 5*Y^8 + 4*Y^7 + 4*Y^6 + 2*Y^5 + 6*Y^4 + 6*Y^3 + Y^2 + 5*Y + 3,
    T^32 + 11/7*T^31 + 61/49*T^30 + 16/49*T^29 - 25/49*T^28 - 43/49*T^27 - 
        46/49*T^26 - 36/49*T^25 - 2/7*T^24 + 3/49*T^23 + 3/7*T^22 + 46/49*T^21 + 
        46/49*T^20 + 46/49*T^19 + 23/49*T^18 - 9/49*T^17 - 30/49*T^16 - 9/49*T^15 + 
        23/49*T^14 + 46/49*T^13 + 46/49*T^12 + 46/49*T^11 + 3/7*T^10 + 3/49*T^9 - 
        2/7*T^8 - 36/49*T^7 - 46/49*T^6 - 43/49*T^5 - 25/49*T^4 + 16/49*T^3 + 
        61/49*T^2 + 11/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 3*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 4*X*Y 
        + 4*X + 4*Y^18 + Y^17 + 5*Y^16 + 2*Y^15 + 4*Y^14 + 2*Y^13 + 3*Y^10 + 2*Y^9 +
        5*Y^8 + 4*Y^7 + 3*Y^6 + 2*Y^5 + 6*Y^4 + 6*Y^3 + 3*Y^2 + Y + 1,
    -T^32 - 12/7*T^31 - 90/49*T^30 + 11/49*T^29 + 115/49*T^28 + 158/49*T^27 + 
        104/49*T^26 - 31/49*T^25 - 99/49*T^24 - 12/7*T^23 + 31/49*T^22 + 2*T^21 + 
        41/49*T^20 - 75/49*T^19 - 176/49*T^18 - 19/7*T^17 + 19/7*T^15 + 176/49*T^14 
        + 75/49*T^13 - 41/49*T^12 - 2*T^11 - 31/49*T^10 + 12/7*T^9 + 99/49*T^8 + 
        31/49*T^7 - 104/49*T^6 - 158/49*T^5 - 115/49*T^4 - 11/49*T^3 + 90/49*T^2 + 
        12/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 5*X*Y^4 + 5*X*Y^3 + 6*X + 4*Y^18 +
        4*Y^17 + 4*Y^16 + 5*Y^15 + 2*Y^14 + 5*Y^13 + 6*Y^12 + 4*Y^11 + 5*Y^10 + 
        2*Y^9 + Y^7 + Y^5 + 2*Y^4 + 4*Y^3 + 2*Y^2 + Y + 5,
    -T^32 - 10/7*T^31 - 4/49*T^30 + 4/7*T^29 + 34/49*T^28 + 30/49*T^27 + 5/49*T^26 -
        23/49*T^25 - 38/49*T^24 - 8/49*T^23 - 1/49*T^22 - 17/49*T^21 - 1/7*T^20 + 
        26/49*T^19 + 59/49*T^18 + 29/49*T^17 - 29/49*T^15 - 59/49*T^14 - 26/49*T^13 
        + 1/7*T^12 + 17/49*T^11 + 1/49*T^10 + 8/49*T^9 + 38/49*T^8 + 23/49*T^7 - 
        5/49*T^6 - 30/49*T^5 - 34/49*T^4 - 4/7*T^3 + 4/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + X*Y^6 + 6*X*Y^5 + X*Y^4 + 4*X*Y + 3*X + 
        6*Y^18 + 6*Y^17 + 3*Y^16 + Y^14 + 4*Y^13 + 4*Y^12 + 3*Y^11 + 3*Y^10 + 2*Y^8 
        + 2*Y^7 + 6*Y^6 + 6*Y^5 + Y^4 + 6*Y^3 + 2*Y^2 + Y + 6,
    -T^32 + 2/7*T^31 + 1/7*T^30 + 2/49*T^29 + 25/49*T^28 + 19/49*T^27 - 45/49*T^26 -
        1/49*T^25 - 1/49*T^24 - 11/49*T^23 + 36/49*T^22 + 52/49*T^21 - 20/49*T^20 + 
        1/7*T^19 - 8/49*T^18 - 54/49*T^17 + 54/49*T^15 + 8/49*T^14 - 1/7*T^13 + 
        20/49*T^12 - 52/49*T^11 - 36/49*T^10 + 11/49*T^9 + 1/49*T^8 + 1/49*T^7 + 
        45/49*T^6 - 19/49*T^5 - 25/49*T^4 - 2/49*T^3 - 1/7*T^2 - 2/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^6 + 6*X*Y^5 + X*Y^4 + 5*X*Y^3 + 4*X*Y^2 + 6*X*Y + 5*X + 
        5*Y^18 + 4*Y^17 + 4*Y^16 + 2*Y^14 + 6*Y^12 + Y^11 + 6*Y^9 + 2*Y^6 + 3*Y^5 + 
        5*Y^4 + 5*Y^3 + Y^2 + 3*Y + 6,
    T^32 - 3/7*T^31 - 18/49*T^30 + 16/49*T^29 - 57/49*T^28 - 11/49*T^27 + 15/49*T^26
        - 22/49*T^25 + 47/49*T^24 + 17/49*T^23 + 24/49*T^22 - 6/49*T^21 - 53/49*T^20
        + 37/49*T^19 - 12/49*T^18 - 40/49*T^17 + 71/49*T^16 - 40/49*T^15 - 
        12/49*T^14 + 37/49*T^13 - 53/49*T^12 - 6/49*T^11 + 24/49*T^10 + 17/49*T^9 + 
        47/49*T^8 - 22/49*T^7 + 15/49*T^6 - 11/49*T^5 - 57/49*T^4 + 16/49*T^3 - 
        18/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 2*X*Y^3 + X*Y^2 + X*Y + 
        2*X + 5*Y^18 + Y^17 + 2*Y^16 + Y^15 + Y^14 + 4*Y^13 + 4*Y^12 + 2*Y^11 + 
        2*Y^10 + 2*Y^9 + 2*Y^8 + 6*Y^7 + 3*Y^5 + 2*Y^4 + 3*Y^3 + 5*Y^2 + 6*Y + 1,
    -T^32 - 2/7*T^31 + 24/49*T^30 - 11/49*T^29 - 27/49*T^28 + 37/49*T^27 - 3/7*T^26 
        - 3/7*T^25 + 40/49*T^24 - 38/49*T^22 + 11/49*T^21 + 2/49*T^20 - 6/49*T^19 + 
        16/49*T^18 - 4/49*T^17 + 4/49*T^15 - 16/49*T^14 + 6/49*T^13 - 2/49*T^12 - 
        11/49*T^11 + 38/49*T^10 - 40/49*T^8 + 3/7*T^7 + 3/7*T^6 - 37/49*T^5 + 
        27/49*T^4 + 11/49*T^3 - 24/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 5*X*Y^6 + 2*X*Y^5 + X*Y^3 + X*Y^2 + 4*X*Y + 3*X + 
        3*Y^18 + 3*Y^17 + 6*Y^16 + 2*Y^15 + Y^14 + 4*Y^13 + 3*Y^12 + Y^11 + Y^10 + 
        Y^9 + 5*Y^8 + 3*Y^7 + 5*Y^5 + Y^4 + 6*Y^3 + Y^2 + Y + 6,
    T^32 + 5/7*T^31 + 37/49*T^30 + 30/49*T^29 - 2/49*T^28 - 5/49*T^27 - 23/49*T^26 +
        3/49*T^25 - 17/49*T^24 + 6/49*T^23 + 19/49*T^21 + 17/49*T^20 - 5/49*T^19 + 
        13/49*T^18 - 23/49*T^17 - 12/49*T^16 - 23/49*T^15 + 13/49*T^14 - 5/49*T^13 +
        17/49*T^12 + 19/49*T^11 + 6/49*T^9 - 17/49*T^8 + 3/49*T^7 - 23/49*T^6 - 
        5/49*T^5 - 2/49*T^4 + 30/49*T^3 + 37/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 
        3*X*Y^2 + 3*X*Y + 3*X + 4*Y^18 + Y^17 + 6*Y^16 + 3*Y^15 + 2*Y^14 + 2*Y^13 + 
        2*Y^12 + 5*Y^11 + Y^10 + 3*Y^8 + 2*Y^7 + 4*Y^6 + 6*Y^5 + 2*Y^4 + 2*Y^3 + 
        4*Y^2 + 4*Y + 5,
    -T^32 - 3/7*T^31 + 1/49*T^30 + 2/49*T^29 + 3/49*T^28 - 47/49*T^27 - 6/49*T^26 + 
        5/49*T^25 - 13/49*T^24 + 2/49*T^23 - 48/49*T^22 - 19/49*T^21 - 9/49*T^19 + 
        16/49*T^18 - 12/49*T^17 + 12/49*T^15 - 16/49*T^14 + 9/49*T^13 + 19/49*T^11 +
        48/49*T^10 - 2/49*T^9 + 13/49*T^8 - 5/49*T^7 + 6/49*T^6 + 47/49*T^5 - 
        3/49*T^4 - 2/49*T^3 - 1/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^7 + X*Y^6 + X*Y^5 + 5*X*Y^4 + X*Y^3 + 3*X*Y^2 + 6*X*Y + 3*X 
        + 3*Y^18 + 5*Y^16 + 5*Y^15 + 2*Y^14 + 6*Y^13 + Y^12 + 3*Y^11 + 3*Y^10 + 
        3*Y^9 + 2*Y^8 + 6*Y^5 + 6*Y^4 + 3*Y^2 + 3*Y + 3,
    T^32 - 10/7*T^31 + 61/49*T^30 - 47/49*T^29 + 30/49*T^28 - 30/49*T^27 + 
        60/49*T^26 - 86/49*T^25 + 75/49*T^24 - 40/49*T^23 - 5/49*T^22 + 16/49*T^21 -
        19/49*T^20 + 13/49*T^19 - 17/49*T^18 + 36/49*T^17 - 43/49*T^16 + 36/49*T^15 
        - 17/49*T^14 + 13/49*T^13 - 19/49*T^12 + 16/49*T^11 - 5/49*T^10 - 40/49*T^9 
        + 75/49*T^8 - 86/49*T^7 + 60/49*T^6 - 30/49*T^5 + 30/49*T^4 - 47/49*T^3 + 
        61/49*T^2 - 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + X*Y^2 + 5*X*Y + 
        6*X + 6*Y^18 + 3*Y^17 + 2*Y^15 + 6*Y^14 + Y^12 + 6*Y^11 + 5*Y^10 + 6*Y^9 + 
        5*Y^8 + Y^7 + 2*Y^6 + 6*Y^5 + 3*Y^4 + 6*Y^3 + 2*Y^2 + 3,
    -T^32 + 2/7*T^31 - 11/49*T^30 + 4/7*T^29 - 9/49*T^28 + 15/49*T^27 + 16/49*T^26 +
        6/49*T^25 + 11/49*T^24 - 19/49*T^23 + 16/49*T^22 - 19/49*T^21 - 11/49*T^20 -
        40/49*T^19 + 11/49*T^18 - 1/7*T^17 + 1/7*T^15 - 11/49*T^14 + 40/49*T^13 + 
        11/49*T^12 + 19/49*T^11 - 16/49*T^10 + 19/49*T^9 - 11/49*T^8 - 6/49*T^7 - 
        16/49*T^6 - 15/49*T^5 + 9/49*T^4 - 4/7*T^3 + 11/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + X*Y^6 + 3*X*Y^4 + 6*X*Y^3 + X*Y^2 + 2*X*Y + 
        5*X + Y^18 + 4*Y^17 + 4*Y^16 + 6*Y^14 + 6*Y^13 + Y^12 + Y^11 + Y^10 + 5*Y^9 
        + 4*Y^8 + 4*Y^7 + 4*Y^6 + Y^5 + 5*Y^4 + 3*Y^3 + 2*Y^2 + 6*Y,
    T^32 - 1/7*T^31 - 32/49*T^30 - 26/49*T^29 + 25/49*T^28 + 39/49*T^27 - 12/49*T^26
        - 4/7*T^25 - 11/49*T^24 + 46/49*T^23 + 6/49*T^22 - 22/49*T^21 - 16/49*T^20 +
        17/49*T^19 + 31/49*T^18 - 13/49*T^17 - 43/49*T^16 - 13/49*T^15 + 31/49*T^14 
        + 17/49*T^13 - 16/49*T^12 - 22/49*T^11 + 6/49*T^10 + 46/49*T^9 - 11/49*T^8 -
        4/7*T^7 - 12/49*T^6 + 39/49*T^5 + 25/49*T^4 - 26/49*T^3 - 32/49*T^2 - 1/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        X*Y^2 + 5*X*Y + 5*X + 4*Y^18 + 2*Y^17 + 3*Y^15 + Y^14 + 5*Y^13 + 4*Y^12 + 
        6*Y^11 + 4*Y^10 + 5*Y^9 + 2*Y^8 + 4*Y^7 + 4*Y^6 + 2*Y^5 + 5*Y^2 + 1,
    -T^32 - 11/7*T^31 + 2/49*T^30 + 38/49*T^29 - 36/49*T^28 - 43/49*T^27 + 
        54/49*T^26 + 60/49*T^25 - 18/49*T^24 - 2/49*T^23 + 26/49*T^22 - 37/49*T^21 -
        68/49*T^20 - 20/49*T^19 - 15/49*T^18 - 45/49*T^17 + 45/49*T^15 + 15/49*T^14 
        + 20/49*T^13 + 68/49*T^12 + 37/49*T^11 - 26/49*T^10 + 2/49*T^9 + 18/49*T^8 -
        60/49*T^7 - 54/49*T^6 + 43/49*T^5 + 36/49*T^4 - 38/49*T^3 - 2/49*T^2 + 
        11/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        2*X*Y^2 + 2*X*Y + 6*Y^18 + 6*Y^17 + 2*Y^16 + 3*Y^15 + 5*Y^14 + 3*Y^13 + 
        6*Y^12 + 5*Y^11 + 4*Y^9 + 6*Y^8 + 5*Y^7 + 6*Y^6 + 5*Y^5 + 4*Y^3 + Y^2 + 4,
    T^32 + 6/7*T^31 - 3/7*T^30 - 24/49*T^29 + 67/49*T^28 + 36/49*T^27 - 64/49*T^26 -
        4/7*T^25 + 57/49*T^24 - 1/49*T^23 - 69/49*T^22 - 8/49*T^21 + 50/49*T^20 + 
        1/7*T^19 - 4/7*T^18 + 20/49*T^17 + 55/49*T^16 + 20/49*T^15 - 4/7*T^14 + 
        1/7*T^13 + 50/49*T^12 - 8/49*T^11 - 69/49*T^10 - 1/49*T^9 + 57/49*T^8 - 
        4/7*T^7 - 64/49*T^6 + 36/49*T^5 + 67/49*T^4 - 24/49*T^3 - 3/7*T^2 + 6/7*T + 
        1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        5*X*Y^2 + X + 5*Y^18 + 3*Y^17 + 4*Y^16 + 2*Y^15 + 6*Y^14 + 3*Y^13 + 3*Y^12 +
        5*Y^11 + 4*Y^10 + 3*Y^9 + Y^8 + Y^6 + 5*Y^5 + 5*Y^4 + 2*Y^3 + Y + 3,
    T^32 + 9/7*T^31 + 25/49*T^30 + 30/49*T^29 + 3/49*T^28 - 22/49*T^27 - 31/49*T^26 
        - 32/49*T^25 - 22/49*T^24 - 24/49*T^23 - 1/49*T^22 - 13/49*T^21 - 8/49*T^20 
        - 8/49*T^19 - 17/49*T^18 + 5/49*T^17 + 6/49*T^16 + 5/49*T^15 - 17/49*T^14 - 
        8/49*T^13 - 8/49*T^12 - 13/49*T^11 - 1/49*T^10 - 24/49*T^9 - 22/49*T^8 - 
        32/49*T^7 - 31/49*T^6 - 22/49*T^5 + 3/49*T^4 + 30/49*T^3 + 25/49*T^2 + 9/7*T
        + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        6*X*Y^2 + X*Y + 6*X + 2*Y^18 + 5*Y^16 + 2*Y^15 + 4*Y^14 + 5*Y^13 + Y^12 + 
        3*Y^11 + 3*Y^10 + 4*Y^9 + 3*Y^8 + 5*Y^7 + Y^5 + 2*Y^3 + 3*Y + 5,
    -T^32 - 4/7*T^31 - 18/49*T^30 - 33/49*T^29 + 8/49*T^28 + 10/49*T^27 + 2/49*T^26 
        + 29/49*T^25 + 33/49*T^24 + 3/49*T^23 + 1/7*T^22 + 4/49*T^21 - 41/49*T^20 - 
        4/7*T^19 - 2/7*T^18 - 38/49*T^17 + 38/49*T^15 + 2/7*T^14 + 4/7*T^13 + 
        41/49*T^12 - 4/49*T^11 - 1/7*T^10 - 3/49*T^9 - 33/49*T^8 - 29/49*T^7 - 
        2/49*T^6 - 10/49*T^5 - 8/49*T^4 + 33/49*T^3 + 18/49*T^2 + 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 6*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 4*X*Y + 2*X + 4*Y^18 + 
        3*Y^17 + Y^14 + 4*Y^12 + Y^11 + Y^10 + 5*Y^9 + 3*Y^8 + 5*Y^6 + 5*Y^5 + 6*Y^4
        + 6*Y^3 + 2*Y^2 + 4*Y + 1,
    T^32 + 15/7*T^31 + 117/49*T^30 + 94/49*T^29 + 11/7*T^28 + 62/49*T^27 + 
        50/49*T^26 + 16/49*T^25 - 10/49*T^24 - 2/49*T^23 + 3/49*T^22 - 13/49*T^21 - 
        45/49*T^20 - 67/49*T^19 - 15/7*T^18 - 159/49*T^17 - 200/49*T^16 - 
        159/49*T^15 - 15/7*T^14 - 67/49*T^13 - 45/49*T^12 - 13/49*T^11 + 3/49*T^10 -
        2/49*T^9 - 10/49*T^8 + 16/49*T^7 + 50/49*T^6 + 62/49*T^5 + 11/7*T^4 + 
        94/49*T^3 + 117/49*T^2 + 15/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        2*X*Y^2 + 5*X*Y + 3*X + 6*Y^18 + 3*Y^17 + Y^16 + 4*Y^15 + 2*Y^13 + 3*Y^12 + 
        Y^10 + Y^9 + 6*Y^8 + 4*Y^7 + Y^6 + 3*Y^5 + 2*Y^4 + Y^3 + 3*Y^2 + 3*Y + 6,
    -T^32 - 16/7*T^31 - 43/49*T^30 + 10/7*T^29 + 39/49*T^28 - 23/49*T^27 + 5/49*T^26
        - 17/49*T^25 - 72/49*T^24 + 11/49*T^23 + 85/49*T^22 + 32/49*T^21 + 
        38/49*T^20 + 82/49*T^19 - 22/49*T^18 - 122/49*T^17 + 122/49*T^15 + 
        22/49*T^14 - 82/49*T^13 - 38/49*T^12 - 32/49*T^11 - 85/49*T^10 - 11/49*T^9 +
        72/49*T^8 + 17/49*T^7 - 5/49*T^6 + 23/49*T^5 - 39/49*T^4 - 10/7*T^3 + 
        43/49*T^2 + 16/7*T + 1
*], [*
    X^3 + X*Y^8 + 5*X*Y^7 + 2*X*Y^5 + 3*X*Y^3 + 2*X*Y^2 + 6*X*Y + X + 3*Y^18 + 
        2*Y^17 + 3*Y^16 + 6*Y^15 + 2*Y^14 + 2*Y^13 + 4*Y^12 + 5*Y^11 + 6*Y^10 + Y^9 
        + 6*Y^8 + 2*Y^7 + 5*Y^6 + 3*Y^5 + 6*Y^4 + Y^3 + 4*Y^2 + 4,
    T^32 - 6/7*T^31 - 1/7*T^30 + 38/49*T^29 - 76/49*T^28 + 2/7*T^27 + 80/49*T^26 - 
        13/7*T^25 + 31/49*T^24 + 96/49*T^23 - 137/49*T^22 + 55/49*T^21 + 10/7*T^20 -
        166/49*T^19 + 66/49*T^18 + 93/49*T^17 - 142/49*T^16 + 93/49*T^15 + 
        66/49*T^14 - 166/49*T^13 + 10/7*T^12 + 55/49*T^11 - 137/49*T^10 + 96/49*T^9 
        + 31/49*T^8 - 13/7*T^7 + 80/49*T^6 + 2/7*T^5 - 76/49*T^4 + 38/49*T^3 - 
        1/7*T^2 - 6/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        4*X*Y^2 + 6*X + 6*Y^18 + 4*Y^17 + Y^16 + Y^13 + 5*Y^12 + 6*Y^10 + 5*Y^9 + 
        3*Y^7 + 6*Y^6 + 3*Y^5 + 5*Y^4 + 6*Y^2 + 4*Y + 3,
    -T^32 - 2/7*T^31 + 44/49*T^30 + 12/49*T^29 - 4/7*T^28 + 6/49*T^27 + 50/49*T^26 +
        3/7*T^25 - 22/49*T^24 + 1/49*T^23 + 13/49*T^22 - 22/49*T^21 - 16/49*T^20 - 
        1/7*T^19 - 2/7*T^18 - 27/49*T^17 + 27/49*T^15 + 2/7*T^14 + 1/7*T^13 + 
        16/49*T^12 + 22/49*T^11 - 13/49*T^10 - 1/49*T^9 + 22/49*T^8 - 3/7*T^7 - 
        50/49*T^6 - 6/49*T^5 + 4/7*T^4 - 12/49*T^3 - 44/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + X*Y^4 + 6*X*Y^3 + 
        5*X*Y^2 + 6*Y^18 + 4*Y^16 + 2*Y^15 + 5*Y^14 + 5*Y^11 + 5*Y^10 + 2*Y^9 + 
        2*Y^8 + 3*Y^7 + 4*Y^6 + 6*Y^5 + 2*Y^4 + Y^3 + 6*Y + 3,
    T^32 + 2/7*T^31 + 6/7*T^30 + 22/49*T^29 - 4/49*T^28 + 3/7*T^27 + 4/49*T^26 + 
        9/49*T^25 - 8/49*T^23 - 11/49*T^22 + 3/49*T^21 - 19/49*T^20 - 3/49*T^19 - 
        12/49*T^18 - 13/49*T^17 + 8/49*T^16 - 13/49*T^15 - 12/49*T^14 - 3/49*T^13 - 
        19/49*T^12 + 3/49*T^11 - 11/49*T^10 - 8/49*T^9 + 9/49*T^7 + 4/49*T^6 + 
        3/7*T^5 - 4/49*T^4 + 22/49*T^3 + 6/7*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 2*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 3*X*Y^2 + 2*X*Y 
        + Y^18 + 5*Y^17 + 4*Y^16 + 3*Y^15 + 5*Y^14 + 3*Y^13 + 2*Y^12 + 3*Y^11 + 
        3*Y^10 + 6*Y^7 + 3*Y^6 + 5*Y^5 + 6*Y^4 + 6*Y^3 + Y^2 + 3*Y + 1,
    T^32 - 15/7*T^31 + 73/49*T^30 - 5/7*T^29 + 82/49*T^28 - 101/49*T^27 + 40/49*T^26
        - 40/49*T^25 + 74/49*T^24 - 29/49*T^23 - 2/7*T^22 + 13/49*T^21 - 39/49*T^20 
        + 73/49*T^19 - 57/49*T^18 + 6/7*T^17 - 51/49*T^16 + 6/7*T^15 - 57/49*T^14 + 
        73/49*T^13 - 39/49*T^12 + 13/49*T^11 - 2/7*T^10 - 29/49*T^9 + 74/49*T^8 - 
        40/49*T^7 + 40/49*T^6 - 101/49*T^5 + 82/49*T^4 - 5/7*T^3 + 73/49*T^2 - 
        15/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + X*Y^2 + 3*X + 
        Y^18 + Y^17 + 6*Y^16 + Y^15 + 2*Y^14 + 2*Y^13 + 3*Y^12 + 3*Y^11 + 5*Y^9 + 
        3*Y^7 + 3*Y^6 + 4*Y^5 + 3*Y^4 + Y^3 + 6*Y^2,
    -T^32 + 11/7*T^31 + 5/49*T^30 - 99/49*T^29 + 59/49*T^28 + 12/7*T^27 - 
        103/49*T^26 - 25/49*T^25 + 125/49*T^24 - 85/49*T^23 - 36/49*T^22 + 
        89/49*T^21 - 52/49*T^20 - 16/49*T^19 + 66/49*T^18 - 51/49*T^17 + 51/49*T^15 
        - 66/49*T^14 + 16/49*T^13 + 52/49*T^12 - 89/49*T^11 + 36/49*T^10 + 85/49*T^9
        - 125/49*T^8 + 25/49*T^7 + 103/49*T^6 - 12/7*T^5 - 59/49*T^4 + 99/49*T^3 - 
        5/49*T^2 - 11/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^7 + X*Y^6 + X*Y^5 + 4*X*Y^4 + 6*X*Y^2 + 5*X*Y + 2*X + 
        4*Y^18 + 6*Y^17 + 5*Y^16 + 4*Y^14 + Y^13 + 5*Y^12 + Y^11 + 3*Y^9 + 3*Y^8 + 
        2*Y^7 + 5*Y^6 + 2*Y^5 + 5*Y^4 + 6*Y^3 + 5*Y + 3,
    T^32 - 2/7*T^31 - 24/49*T^30 + 17/49*T^29 - 52/49*T^28 + 47/49*T^27 + 13/49*T^26
        - 4/7*T^25 + 6/49*T^24 - 20/49*T^23 + 4/49*T^22 + 13/49*T^21 + 17/49*T^20 - 
        37/49*T^19 - 8/49*T^18 + 23/49*T^17 - 8/49*T^16 + 23/49*T^15 - 8/49*T^14 - 
        37/49*T^13 + 17/49*T^12 + 13/49*T^11 + 4/49*T^10 - 20/49*T^9 + 6/49*T^8 - 
        4/7*T^7 + 13/49*T^6 + 47/49*T^5 - 52/49*T^4 + 17/49*T^3 - 24/49*T^2 - 2/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 
        5*X*Y + 6*X + 6*Y^18 + 4*Y^15 + 3*Y^14 + 3*Y^13 + 3*Y^11 + 4*Y^10 + 2*Y^9 + 
        4*Y^8 + 5*Y^7 + 6*Y^6 + 6*Y^5 + 3*Y^3 + 3*Y^2 + 4*Y + 6,
    T^32 + 10/7*T^31 + 48/49*T^30 + 40/49*T^29 + 2/7*T^28 + 1/7*T^27 - 5/49*T^26 - 
        24/49*T^25 - 13/49*T^24 - 32/49*T^23 - 53/49*T^22 - 5/7*T^21 - 19/49*T^20 - 
        8/49*T^19 - 20/49*T^18 - 20/49*T^17 + 3/49*T^16 - 20/49*T^15 - 20/49*T^14 - 
        8/49*T^13 - 19/49*T^12 - 5/7*T^11 - 53/49*T^10 - 32/49*T^9 - 13/49*T^8 - 
        24/49*T^7 - 5/49*T^6 + 1/7*T^5 + 2/7*T^4 + 40/49*T^3 + 48/49*T^2 + 10/7*T + 
        1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^7 + 6*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 4*X*Y + 3*X + 
        2*Y^18 + 4*Y^17 + 2*Y^16 + 4*Y^15 + 2*Y^14 + 3*Y^13 + 4*Y^11 + 4*Y^10 + 
        3*Y^9 + 5*Y^7 + 6*Y^6 + 5*Y^4 + 2*Y^3 + 2*Y + 6,
    -T^32 - 10/7*T^31 - 2/7*T^30 - 9/49*T^29 + 8/49*T^28 + 36/49*T^27 - 12/49*T^26 -
        3/49*T^25 + 10/49*T^24 - 32/49*T^23 - 13/49*T^22 - 2/7*T^21 - 23/49*T^20 + 
        26/49*T^19 + 36/49*T^18 + 16/49*T^17 - 16/49*T^15 - 36/49*T^14 - 26/49*T^13 
        + 23/49*T^12 + 2/7*T^11 + 13/49*T^10 + 32/49*T^9 - 10/49*T^8 + 3/49*T^7 + 
        12/49*T^6 - 36/49*T^5 - 8/49*T^4 + 9/49*T^3 + 2/7*T^2 + 10/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 4*X*Y^5 + 4*X*Y^4 + 2*X*Y^2 + 6*X*Y + 6*X + 
        4*Y^18 + 2*Y^17 + Y^16 + 2*Y^15 + 5*Y^14 + 5*Y^12 + Y^11 + 3*Y^10 + 2*Y^9 + 
        5*Y^8 + 5*Y^7 + 6*Y^6 + Y^5 + 4*Y^4 + 2*Y^3 + 3*Y,
    T^32 + 2/7*T^31 - 38/49*T^30 + 16/49*T^29 - 8/49*T^28 - 11/49*T^27 + 18/49*T^26 
        - 33/49*T^25 - 31/49*T^24 + 19/49*T^23 - 6/49*T^22 + 10/49*T^21 + 15/49*T^20
        - 5/7*T^19 + 18/49*T^18 + 24/49*T^17 - 26/49*T^16 + 24/49*T^15 + 18/49*T^14 
        - 5/7*T^13 + 15/49*T^12 + 10/49*T^11 - 6/49*T^10 + 19/49*T^9 - 31/49*T^8 - 
        33/49*T^7 + 18/49*T^6 - 11/49*T^5 - 8/49*T^4 + 16/49*T^3 - 38/49*T^2 + 2/7*T
        + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + X*Y + 
        6*X + 6*Y^18 + Y^17 + 3*Y^16 + 2*Y^14 + 6*Y^13 + 5*Y^10 + 4*Y^9 + 5*Y^8 + 
        5*Y^7 + 3*Y^6 + 3*Y^5 + Y^4 + Y^3 + 6*Y^2 + 6*Y + 5,
    -T^32 - 12/7*T^31 - 97/49*T^30 - 78/49*T^29 - 54/49*T^28 - 3/7*T^27 - 24/49*T^26
        - 9/7*T^25 - 95/49*T^24 - 94/49*T^23 - 43/49*T^22 - 37/49*T^21 - 26/49*T^20 
        - 40/49*T^19 - 47/49*T^18 - 50/49*T^17 + 50/49*T^15 + 47/49*T^14 + 
        40/49*T^13 + 26/49*T^12 + 37/49*T^11 + 43/49*T^10 + 94/49*T^9 + 95/49*T^8 + 
        9/7*T^7 + 24/49*T^6 + 3/7*T^5 + 54/49*T^4 + 78/49*T^3 + 97/49*T^2 + 12/7*T +
        1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 5*X*Y^7 + 6*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 4*X*Y^2 + 4*X*Y 
        + 5*X + 3*Y^18 + 5*Y^17 + 5*Y^16 + 6*Y^15 + 3*Y^14 + 6*Y^13 + 5*Y^11 + Y^9 +
        3*Y^8 + 6*Y^5 + 2*Y^4 + Y^3 + Y^2 + 2*Y,
    T^32 - 2*T^31 + 54/49*T^30 + 30/49*T^29 - 39/49*T^28 + 1/49*T^27 - 31/49*T^26 + 
        65/49*T^25 - 1/7*T^24 - 9/7*T^23 + 38/49*T^22 + 38/49*T^21 - 45/49*T^20 + 
        5/49*T^19 + 8/49*T^18 + 20/49*T^17 - T^16 + 20/49*T^15 + 8/49*T^14 + 
        5/49*T^13 - 45/49*T^12 + 38/49*T^11 + 38/49*T^10 - 9/7*T^9 - 1/7*T^8 + 
        65/49*T^7 - 31/49*T^6 + 1/49*T^5 - 39/49*T^4 + 30/49*T^3 + 54/49*T^2 - 2*T +
        1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 3*X*Y^4 + X*Y^3 + 2*X*Y^2 + 4*X*Y + 
        6*X + 6*Y^18 + 3*Y^17 + Y^16 + 5*Y^14 + 3*Y^13 + 2*Y^12 + 3*Y^11 + Y^10 + 
        3*Y^8 + 4*Y^7 + 6*Y^6 + 6*Y^5 + 6*Y^4 + 4*Y^3 + 2*Y^2 + 3*Y + 4,
    -T^32 + 3/7*T^31 + 96/49*T^30 - 78/49*T^29 - 54/49*T^28 + 111/49*T^27 - 
        33/49*T^26 - 9/49*T^25 + 66/49*T^24 - 121/49*T^23 + 20/49*T^22 + 131/49*T^21
        - 144/49*T^20 - 3/7*T^19 + 19/7*T^18 - 116/49*T^17 + 116/49*T^15 - 19/7*T^14
        + 3/7*T^13 + 144/49*T^12 - 131/49*T^11 - 20/49*T^10 + 121/49*T^9 - 66/49*T^8
        + 9/49*T^7 + 33/49*T^6 - 111/49*T^5 + 54/49*T^4 + 78/49*T^3 - 96/49*T^2 - 
        3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^7 + 4*X*Y^6 + X*Y^5 + 2*X*Y^4 + X*Y^3 + 2*X*Y^2 + 5*X*Y + 
        4*X + 2*Y^18 + 6*Y^17 + 2*Y^16 + 4*Y^15 + 2*Y^14 + 3*Y^12 + 4*Y^11 + 4*Y^10 
        + 6*Y^9 + 2*Y^8 + 5*Y^7 + 2*Y^6 + 2*Y^5 + Y^4 + 3*Y + 6,
    -T^32 + 1/7*T^31 + 2/49*T^30 - 44/49*T^29 - 3/49*T^28 + 6/7*T^27 - 12/49*T^26 - 
        39/49*T^25 + 9/7*T^24 + 52/49*T^23 - 46/49*T^22 + 34/49*T^21 + 2*T^20 - 
        32/49*T^19 - 20/49*T^18 + 87/49*T^17 - 87/49*T^15 + 20/49*T^14 + 32/49*T^13 
        - 2*T^12 - 34/49*T^11 + 46/49*T^10 - 52/49*T^9 - 9/7*T^8 + 39/49*T^7 + 
        12/49*T^6 - 6/7*T^5 + 3/49*T^4 + 44/49*T^3 - 2/49*T^2 - 1/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + X*Y^7 + 6*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 5*X*Y + 4*X + 
        5*Y^18 + 3*Y^17 + 4*Y^16 + 4*Y^15 + 2*Y^14 + 3*Y^13 + 6*Y^12 + 2*Y^11 + 
        4*Y^10 + Y^9 + 4*Y^8 + Y^7 + 4*Y^6 + 3*Y^5 + 2*Y^4 + 2*Y^3 + 5*Y^2 + 5*Y + 
        4,
    -T^32 - 5/7*T^31 + 26/49*T^30 + 46/49*T^29 + 5/49*T^28 - 15/49*T^27 - 2/7*T^26 -
        5/49*T^25 + 3/49*T^24 - 16/49*T^23 + 8/49*T^22 + 6/49*T^21 - 11/49*T^20 - 
        37/49*T^19 + 1/7*T^18 + 4/7*T^17 - 4/7*T^15 - 1/7*T^14 + 37/49*T^13 + 
        11/49*T^12 - 6/49*T^11 - 8/49*T^10 + 16/49*T^9 - 3/49*T^8 + 5/49*T^7 + 
        2/7*T^6 + 15/49*T^5 - 5/49*T^4 - 46/49*T^3 - 26/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + X*Y^7 + 5*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + X + 6*Y^18 + 
        2*Y^14 + Y^12 + 5*Y^11 + 6*Y^10 + 6*Y^9 + 5*Y^8 + 6*Y^7 + 6*Y^6 + 6*Y^5 + 
        3*Y^3 + Y^2,
    -T^32 - T^31 + 30/49*T^30 + 11/7*T^29 + 40/49*T^28 - 33/49*T^27 - 34/49*T^26 + 
        15/49*T^25 + 37/49*T^24 + 3/49*T^23 - 60/49*T^22 - 55/49*T^21 + 24/49*T^20 +
        72/49*T^19 + 18/49*T^18 - 25/49*T^17 + 25/49*T^15 - 18/49*T^14 - 72/49*T^13 
        - 24/49*T^12 + 55/49*T^11 + 60/49*T^10 - 3/49*T^9 - 37/49*T^8 - 15/49*T^7 + 
        34/49*T^6 + 33/49*T^5 - 40/49*T^4 - 11/7*T^3 - 30/49*T^2 + T + 1
*], [*
    X^3 + 6*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + X*Y + 5*X + 
        5*Y^18 + Y^16 + 5*Y^15 + 4*Y^14 + 4*Y^13 + 3*Y^12 + 4*Y^11 + 2*Y^9 + 5*Y^8 +
        2*Y^7 + 5*Y^6 + 2*Y^5 + 5*Y^4 + 5*Y^3 + 2*Y^2 + 3*Y + 2,
    -T^32 + 3/7*T^31 + 2/7*T^30 - 2/7*T^29 + 1/49*T^28 + 24/49*T^27 - 30/49*T^26 - 
        45/49*T^25 + 60/49*T^24 + 2/7*T^23 - 36/49*T^22 + 2/49*T^21 + 20/49*T^20 - 
        5/7*T^19 - 18/49*T^18 + 61/49*T^17 - 61/49*T^15 + 18/49*T^14 + 5/7*T^13 - 
        20/49*T^12 - 2/49*T^11 + 36/49*T^10 - 2/7*T^9 - 60/49*T^8 + 45/49*T^7 + 
        30/49*T^6 - 24/49*T^5 - 1/49*T^4 + 2/7*T^3 - 2/7*T^2 - 3/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 3*X*Y^2 + 5*X*Y + 3*Y^18 + 3*Y^17 + 
        6*Y^15 + 6*Y^14 + 5*Y^13 + 5*Y^12 + 2*Y^11 + 5*Y^10 + 2*Y^9 + Y^8 + Y^7 + 
        6*Y^6 + 4*Y^5 + 3*Y^4 + 5*Y^3 + 3*Y^2 + 5*Y + 4,
    T^32 + 9/7*T^31 + 13/49*T^30 - 39/49*T^29 - 33/49*T^28 + 9/49*T^27 + 6/7*T^26 + 
        45/49*T^25 - 16/49*T^24 - 51/49*T^23 - 30/49*T^22 - 4/49*T^21 + 27/49*T^20 +
        33/49*T^19 + 9/49*T^18 + 4/49*T^17 + 2/7*T^16 + 4/49*T^15 + 9/49*T^14 + 
        33/49*T^13 + 27/49*T^12 - 4/49*T^11 - 30/49*T^10 - 51/49*T^9 - 16/49*T^8 + 
        45/49*T^7 + 6/7*T^6 + 9/49*T^5 - 33/49*T^4 - 39/49*T^3 + 13/49*T^2 + 9/7*T +
        1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 2*X*Y^2 + 2*X*Y 
        + 2*X + 6*Y^18 + 5*Y^17 + Y^14 + 2*Y^13 + 5*Y^12 + 4*Y^11 + 6*Y^10 + Y^8 + 
        3*Y^7 + 6*Y^5 + 4*Y^4 + 4*Y^3 + 6*Y^2 + 6*Y + 1,
    T^32 + 6/7*T^31 - 24/49*T^30 - 25/49*T^29 + 39/49*T^28 + 55/49*T^27 - 23/49*T^26
        - 31/49*T^25 + 16/49*T^24 + 50/49*T^23 - 2/49*T^22 - 45/49*T^21 - 11/49*T^20
        + 24/49*T^19 + 19/49*T^18 - 2/7*T^17 - 13/49*T^16 - 2/7*T^15 + 19/49*T^14 + 
        24/49*T^13 - 11/49*T^12 - 45/49*T^11 - 2/49*T^10 + 50/49*T^9 + 16/49*T^8 - 
        31/49*T^7 - 23/49*T^6 + 55/49*T^5 + 39/49*T^4 - 25/49*T^3 - 24/49*T^2 + 
        6/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + X*Y^6 + X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + X*Y^2 + 
        2*X*Y + 4*X + 2*Y^18 + 3*Y^17 + 5*Y^14 + 2*Y^13 + 6*Y^12 + 3*Y^11 + 3*Y^10 +
        5*Y^9 + 2*Y^8 + 3*Y^7 + 5*Y^4 + 3*Y^3 + 6*Y^2 + 3*Y,
    -T^32 - 3/7*T^31 + 3/7*T^30 + 50/49*T^29 + 33/49*T^28 - 19/49*T^26 - 18/49*T^25 
        - 8/49*T^24 + 1/7*T^23 - 8/49*T^22 + 6/49*T^21 + 4/49*T^20 - 2/7*T^19 - 
        8/49*T^18 - 1/49*T^17 + 1/49*T^15 + 8/49*T^14 + 2/7*T^13 - 4/49*T^12 - 
        6/49*T^11 + 8/49*T^10 - 1/7*T^9 + 8/49*T^8 + 18/49*T^7 + 19/49*T^6 - 
        33/49*T^4 - 50/49*T^3 - 3/7*T^2 + 3/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 3*X*Y^3 + X*Y^2 + 4*X*Y + 
        6*X + 6*Y^18 + 4*Y^17 + 3*Y^16 + 5*Y^15 + 2*Y^14 + 3*Y^13 + Y^11 + 2*Y^10 + 
        6*Y^9 + 6*Y^8 + 5*Y^7 + 4*Y^6 + 2*Y^5 + 6*Y^4 + 3*Y^3 + 2*Y^2 + 5*Y + 5,
    T^32 + 2/7*T^31 - 68/49*T^30 - 11/49*T^29 + 36/49*T^28 - 36/49*T^27 - 32/49*T^26
        + 8/7*T^25 + 1/7*T^24 - 31/49*T^23 + 27/49*T^22 + 8/49*T^21 - 2/7*T^20 + 
        13/49*T^19 - 11/49*T^18 - 11/49*T^17 + 17/49*T^16 - 11/49*T^15 - 11/49*T^14 
        + 13/49*T^13 - 2/7*T^12 + 8/49*T^11 + 27/49*T^10 - 31/49*T^9 + 1/7*T^8 + 
        8/7*T^7 - 32/49*T^6 - 36/49*T^5 + 36/49*T^4 - 11/49*T^3 - 68/49*T^2 + 2/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^8 + 2*X*Y^7 + 4*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + X*Y^2 + 5*X*Y + 4*X + 
        Y^18 + 4*Y^17 + 4*Y^16 + 3*Y^15 + Y^14 + 6*Y^13 + 2*Y^12 + 5*Y^11 + 5*Y^9 + 
        3*Y^8 + 6*Y^7 + 2*Y^6 + 5*Y^5 + 3*Y^4 + 4*Y^2 + 4*Y + 3,
    -T^32 - 2/7*T^31 - 18/49*T^30 - 25/49*T^29 + 17/49*T^28 - 6/49*T^27 + 36/49*T^26
        + 10/49*T^25 + 1/7*T^24 + 6/49*T^23 - 10/49*T^22 - 1/7*T^21 - 24/49*T^20 + 
        2/49*T^19 - 6/49*T^18 + 6/49*T^17 - 6/49*T^15 + 6/49*T^14 - 2/49*T^13 + 
        24/49*T^12 + 1/7*T^11 + 10/49*T^10 - 6/49*T^9 - 1/7*T^8 - 10/49*T^7 - 
        36/49*T^6 + 6/49*T^5 - 17/49*T^4 + 25/49*T^3 + 18/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + X*Y^6 + 3*X*Y^4 + 3*X*Y^2 + 2*X*Y + 4*X + 
        2*Y^18 + 3*Y^16 + Y^15 + 6*Y^14 + 3*Y^13 + 5*Y^12 + 2*Y^11 + Y^10 + Y^9 + 
        2*Y^8 + 5*Y^7 + 4*Y^6 + 2*Y^5 + 2*Y^4 + 3*Y^3 + Y^2 + Y,
    T^32 + 1/7*T^31 - 9/7*T^30 - 1/49*T^29 + 29/49*T^28 + 19/49*T^27 + 3/7*T^26 - 
        17/49*T^25 - 12/49*T^24 - 12/49*T^22 + 11/49*T^21 + 8/49*T^20 - 3/49*T^19 + 
        16/49*T^18 - 6/49*T^17 - 43/49*T^16 - 6/49*T^15 + 16/49*T^14 - 3/49*T^13 + 
        8/49*T^12 + 11/49*T^11 - 12/49*T^10 - 12/49*T^8 - 17/49*T^7 + 3/7*T^6 + 
        19/49*T^5 + 29/49*T^4 - 1/49*T^3 - 9/7*T^2 + 1/7*T + 1
*], [*
    X^3 + 4*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 5*X + Y^18 + 4*Y^17 + 
        2*Y^16 + 4*Y^15 + Y^14 + Y^13 + 4*Y^12 + Y^11 + 6*Y^10 + 5*Y^9 + 3*Y^8 + 
        4*Y^7 + 3*Y^6 + 4*Y^5 + 2*Y^4 + Y^2 + Y + 3,
    T^32 - T^31 + 65/49*T^30 - 4/7*T^29 + 12/49*T^28 + 1/7*T^27 - 18/49*T^26 + 
        37/49*T^25 - 24/49*T^24 + 1/49*T^23 + 40/49*T^22 - 9/7*T^21 + 45/49*T^20 + 
        8/49*T^19 - 8/7*T^18 + 87/49*T^17 - 82/49*T^16 + 87/49*T^15 - 8/7*T^14 + 
        8/49*T^13 + 45/49*T^12 - 9/7*T^11 + 40/49*T^10 + 1/49*T^9 - 24/49*T^8 + 
        37/49*T^7 - 18/49*T^6 + 1/7*T^5 + 12/49*T^4 - 4/7*T^3 + 65/49*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 6*X*Y + 4*Y^18 + 3*Y^17 
        + 6*Y^16 + 4*Y^15 + 5*Y^14 + Y^13 + 6*Y^12 + 3*Y^11 + 5*Y^10 + 4*Y^9 + 2*Y^8
        + 5*Y^7 + 4*Y^6 + 3*Y^5 + 4*Y^4 + 2*Y^3 + Y + 2,
    -T^32 - 12/7*T^31 - 10/7*T^30 - 51/49*T^29 - 3/49*T^28 + 41/49*T^27 + 80/49*T^26
        + 95/49*T^25 + 4/7*T^24 - 32/49*T^23 - 34/49*T^22 - 12/49*T^21 + 4/7*T^20 + 
        60/49*T^19 + 94/49*T^18 + 96/49*T^17 - 96/49*T^15 - 94/49*T^14 - 60/49*T^13 
        - 4/7*T^12 + 12/49*T^11 + 34/49*T^10 + 32/49*T^9 - 4/7*T^8 - 95/49*T^7 - 
        80/49*T^6 - 41/49*T^5 + 3/49*T^4 + 51/49*T^3 + 10/7*T^2 + 12/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + X*Y^3 + 4*X*Y^2 + 4*X*Y + 4*Y^18 + 
        Y^16 + 5*Y^15 + Y^12 + 5*Y^11 + 6*Y^10 + 4*Y^9 + 5*Y^8 + 3*Y^6 + Y^5 + 2*Y^4
        + 3*Y^3 + 3*Y^2 + 3,
    T^32 + 2/7*T^31 + 34/49*T^30 - 52/49*T^29 + 3/7*T^28 - 5/7*T^27 + 68/49*T^26 - 
        41/49*T^25 + 50/49*T^24 - 92/49*T^23 + 33/49*T^22 - 9/7*T^21 + 78/49*T^20 - 
        T^19 + 45/49*T^18 - 81/49*T^17 + 46/49*T^16 - 81/49*T^15 + 45/49*T^14 - T^13
        + 78/49*T^12 - 9/7*T^11 + 33/49*T^10 - 92/49*T^9 + 50/49*T^8 - 41/49*T^7 + 
        68/49*T^6 - 5/7*T^5 + 3/7*T^4 - 52/49*T^3 + 34/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + 2*X*Y + 
        3*X + 6*Y^18 + 4*Y^17 + 5*Y^16 + 5*Y^15 + 3*Y^14 + Y^13 + 6*Y^12 + 2*Y^11 + 
        6*Y^10 + 2*Y^8 + 5*Y^7 + 5*Y^6 + 4*Y^5 + 5*Y^4 + 2*Y^3 + 4*Y^2 + 6*Y + 5,
    -T^32 - 2/7*T^31 + 46/49*T^30 - 20/49*T^29 - 33/49*T^28 + 53/49*T^27 + 
        75/49*T^26 - 10/49*T^25 - 30/49*T^24 + 45/49*T^23 + 5/7*T^22 - 87/49*T^21 - 
        78/49*T^20 + 46/49*T^19 + 5/49*T^18 - 107/49*T^17 + 107/49*T^15 - 5/49*T^14 
        - 46/49*T^13 + 78/49*T^12 + 87/49*T^11 - 5/7*T^10 - 45/49*T^9 + 30/49*T^8 + 
        10/49*T^7 - 75/49*T^6 - 53/49*T^5 + 33/49*T^4 + 20/49*T^3 - 46/49*T^2 + 
        2/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 6*X*Y^4 + X*Y^3 + 2*X*Y^2 + X*Y + 
        5*X + Y^18 + 4*Y^17 + 6*Y^15 + 2*Y^14 + 6*Y^13 + 5*Y^12 + 5*Y^11 + 3*Y^9 + 
        4*Y^7 + 4*Y^6 + 6*Y^5 + 6*Y^4 + 5*Y^3 + 5*Y^2 + 2*Y + 3,
    -T^32 + 20/7*T^31 - 136/49*T^30 - 50/49*T^29 + 228/49*T^28 - 167/49*T^27 - 
        95/49*T^26 + 242/49*T^25 - 95/49*T^24 - 20/7*T^23 + 129/49*T^22 + 92/49*T^21
        - 208/49*T^20 + 50/49*T^19 + 201/49*T^18 - 242/49*T^17 + 242/49*T^15 - 
        201/49*T^14 - 50/49*T^13 + 208/49*T^12 - 92/49*T^11 - 129/49*T^10 + 20/7*T^9
        + 95/49*T^8 - 242/49*T^7 + 95/49*T^6 + 167/49*T^5 - 228/49*T^4 + 50/49*T^3 +
        136/49*T^2 - 20/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        3*X*Y^2 + 2*X*Y + 4*X + 3*Y^18 + 3*Y^17 + 4*Y^16 + 4*Y^15 + 6*Y^14 + 4*Y^13 
        + 5*Y^12 + Y^11 + 4*Y^10 + 4*Y^9 + 2*Y^8 + 5*Y^7 + 6*Y^6 + 6*Y^5 + Y^4 + 
        5*Y^3 + 5*Y^2 + 2*Y + 1,
    T^32 + 2/7*T^31 - 9/49*T^30 + 17/49*T^29 - 12/49*T^28 - 17/49*T^27 + 3/49*T^26 +
        11/49*T^25 - 6/49*T^24 - 12/49*T^22 + 5/49*T^21 + 30/49*T^20 + 31/49*T^19 + 
        2/49*T^18 - 13/49*T^17 + 10/49*T^16 - 13/49*T^15 + 2/49*T^14 + 31/49*T^13 + 
        30/49*T^12 + 5/49*T^11 - 12/49*T^10 - 6/49*T^8 + 11/49*T^7 + 3/49*T^6 - 
        17/49*T^5 - 12/49*T^4 + 17/49*T^3 - 9/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + X*Y^4 + X*Y^3 + 3*X*Y^2 
        + 4*X + 4*Y^18 + 5*Y^17 + 2*Y^16 + 2*Y^14 + Y^13 + 2*Y^12 + 5*Y^11 + 2*Y^10 
        + 3*Y^8 + 2*Y^7 + 3*Y^6 + 5*Y^5 + 2*Y^4 + 4*Y^3 + 2*Y^2 + 4*Y,
    T^32 + 13/7*T^31 + 58/49*T^30 - 3/49*T^29 + 5/49*T^28 + 24/49*T^27 - 2/7*T^26 - 
        18/49*T^25 + 5/7*T^24 + 59/49*T^23 - 11/49*T^22 - 45/49*T^21 - 10/49*T^20 + 
        4/49*T^19 - 9/49*T^18 + 20/49*T^17 + 59/49*T^16 + 20/49*T^15 - 9/49*T^14 + 
        4/49*T^13 - 10/49*T^12 - 45/49*T^11 - 11/49*T^10 + 59/49*T^9 + 5/7*T^8 - 
        18/49*T^7 - 2/7*T^6 + 24/49*T^5 + 5/49*T^4 - 3/49*T^3 + 58/49*T^2 + 13/7*T +
        1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + X*Y^6 + 2*X*Y^4 + 6*X*Y + 6*X + 3*Y^18 + Y^17 
        + 4*Y^16 + Y^15 + 3*Y^14 + 3*Y^13 + 3*Y^12 + 4*Y^11 + 3*Y^10 + Y^9 + Y^8 + 
        5*Y^7 + 6*Y^6 + 5*Y^5 + 4*Y^3 + Y^2 + 3*Y,
    T^32 - 13/7*T^31 + 34/49*T^30 + 39/49*T^29 - 5/49*T^28 - 24/49*T^27 - 1/49*T^26 
        - 1/7*T^25 - 5/49*T^24 + 65/49*T^23 - 33/49*T^22 - 24/49*T^21 - 31/49*T^20 +
        39/49*T^19 + T^18 - 29/49*T^17 - 34/49*T^16 - 29/49*T^15 + T^14 + 39/49*T^13
        - 31/49*T^12 - 24/49*T^11 - 33/49*T^10 + 65/49*T^9 - 5/49*T^8 - 1/7*T^7 - 
        1/49*T^6 - 24/49*T^5 - 5/49*T^4 + 39/49*T^3 + 34/49*T^2 - 13/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + X*Y^2 + 
        4*X*Y + X + Y^18 + 2*Y^17 + Y^16 + Y^15 + Y^14 + 3*Y^13 + 4*Y^12 + 2*Y^11 + 
        5*Y^10 + Y^9 + 5*Y^8 + 6*Y^7 + 6*Y^6 + 3*Y^5 + 6*Y^4 + 2*Y^3 + 4*Y^2 + 4*Y +
        1,
    T^32 - 2/7*T^31 + 30/49*T^30 - 25/49*T^29 + 37/49*T^28 - 2/7*T^27 + 1/49*T^26 - 
        16/49*T^25 + 9/49*T^24 - 1/7*T^23 - 13/49*T^22 - 12/49*T^21 - 15/49*T^20 + 
        2/49*T^19 + 10/49*T^18 - 5/49*T^17 + 2/49*T^16 - 5/49*T^15 + 10/49*T^14 + 
        2/49*T^13 - 15/49*T^12 - 12/49*T^11 - 13/49*T^10 - 1/7*T^9 + 9/49*T^8 - 
        16/49*T^7 + 1/49*T^6 - 2/7*T^5 + 37/49*T^4 - 25/49*T^3 + 30/49*T^2 - 2/7*T +
        1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^7 + X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 6*X*Y 
        + 6*X + Y^18 + 6*Y^17 + Y^16 + Y^15 + 5*Y^13 + 6*Y^12 + 2*Y^11 + Y^10 + 
        5*Y^9 + 5*Y^7 + Y^6 + 2*Y^5 + 5*Y^3 + 5*Y^2 + 5*Y + 5,
    -T^32 + 29/49*T^30 + 5/7*T^29 + 8/49*T^28 + 18/49*T^27 - 5/7*T^26 - 48/49*T^25 +
        29/49*T^24 + 41/49*T^23 - 1/7*T^22 - 5/49*T^21 + 12/49*T^20 - 6/7*T^19 - 
        30/49*T^18 + 41/49*T^17 - 41/49*T^15 + 30/49*T^14 + 6/7*T^13 - 12/49*T^12 + 
        5/49*T^11 + 1/7*T^10 - 41/49*T^9 - 29/49*T^8 + 48/49*T^7 + 5/7*T^6 - 
        18/49*T^5 - 8/49*T^4 - 5/7*T^3 - 29/49*T^2 + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + X*Y^6 + X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + X*Y^2 + 
        X*Y + 3*X + 3*Y^18 + 5*Y^17 + 4*Y^15 + 2*Y^12 + 5*Y^10 + 3*Y^9 + 3*Y^7 + 
        6*Y^6 + 4*Y^5 + 2*Y^4 + Y^2 + 5,
    -T^32 - 11/7*T^31 - 66/49*T^30 - 2/7*T^29 + 36/49*T^27 + 48/49*T^26 + 83/49*T^25
        + 76/49*T^24 + 73/49*T^23 + 6/49*T^22 - 33/49*T^21 - 80/49*T^20 - 83/49*T^19
        - 69/49*T^18 - 4/7*T^17 + 4/7*T^15 + 69/49*T^14 + 83/49*T^13 + 80/49*T^12 + 
        33/49*T^11 - 6/49*T^10 - 73/49*T^9 - 76/49*T^8 - 83/49*T^7 - 48/49*T^6 - 
        36/49*T^5 + 2/7*T^3 + 66/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + X*Y^3 + 3*X*Y^2 + 2*X + Y^18 + 
        5*Y^17 + 6*Y^15 + 3*Y^14 + 5*Y^13 + 3*Y^12 + 2*Y^11 + 6*Y^10 + 2*Y^9 + 2*Y^8
        + 3*Y^7 + 6*Y^6 + 6*Y^5 + 5*Y^3 + 4*Y^2 + 3,
    T^32 + 1/7*T^31 - 73/49*T^30 + 13/49*T^29 + 9/49*T^28 - 5/7*T^27 + 41/49*T^26 + 
        13/49*T^25 - 41/49*T^24 + 12/49*T^23 + 17/49*T^22 - 22/49*T^21 - 3/49*T^20 +
        2/7*T^19 - 5/49*T^18 - 2/49*T^17 + 12/49*T^16 - 2/49*T^15 - 5/49*T^14 + 
        2/7*T^13 - 3/49*T^12 - 22/49*T^11 + 17/49*T^10 + 12/49*T^9 - 41/49*T^8 + 
        13/49*T^7 + 41/49*T^6 - 5/7*T^5 + 9/49*T^4 + 13/49*T^3 - 73/49*T^2 + 1/7*T +
        1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + X*Y^6 + 2*X*Y^5 + X*Y^3 + 5*X*Y^2 + 2*X*Y + 
        5*X + 6*Y^18 + 4*Y^17 + 2*Y^16 + 6*Y^15 + 3*Y^14 + Y^13 + 2*Y^12 + Y^11 + 
        4*Y^10 + Y^9 + Y^8 + 3*Y^7 + Y^6 + 4*Y^5 + 3*Y^2 + 4,
    -T^32 - 5/7*T^31 + 18/49*T^30 + 19/49*T^29 + 5/49*T^28 - 31/49*T^27 - 67/49*T^26
        - 23/49*T^25 + 62/49*T^24 + 8/7*T^23 - 13/49*T^22 - 37/49*T^21 - 37/49*T^20 
        + 46/49*T^18 + 39/49*T^17 - 39/49*T^15 - 46/49*T^14 + 37/49*T^12 + 
        37/49*T^11 + 13/49*T^10 - 8/7*T^9 - 62/49*T^8 + 23/49*T^7 + 67/49*T^6 + 
        31/49*T^5 - 5/49*T^4 - 19/49*T^3 - 18/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 5*X*Y 
        + 3*X + 6*Y^18 + 3*Y^17 + Y^15 + 2*Y^13 + 5*Y^12 + 2*Y^11 + 2*Y^10 + 5*Y^9 +
        5*Y^8 + Y^7 + 4*Y^6 + 3*Y^5 + 4*Y^4 + 5*Y^2 + 6*Y + 6,
    T^32 + 8/7*T^31 - 6/7*T^30 - 58/49*T^29 + 13/49*T^28 + 3/49*T^27 - 6/7*T^26 + 
        8/49*T^25 + 40/49*T^24 - 16/49*T^23 - 5/49*T^22 + 40/49*T^21 - 2/49*T^20 - 
        13/49*T^19 + 45/49*T^18 - 8/49*T^17 - 87/49*T^16 - 8/49*T^15 + 45/49*T^14 - 
        13/49*T^13 - 2/49*T^12 + 40/49*T^11 - 5/49*T^10 - 16/49*T^9 + 40/49*T^8 + 
        8/49*T^7 - 6/7*T^6 + 3/49*T^5 + 13/49*T^4 - 58/49*T^3 - 6/7*T^2 + 8/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 3*X*Y^7 + 6*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 4*X*Y + 6*X + 
        Y^18 + 6*Y^17 + Y^16 + 3*Y^15 + 2*Y^14 + 6*Y^13 + Y^12 + 5*Y^11 + Y^10 + 
        4*Y^9 + 3*Y^8 + 3*Y^7 + 3*Y^6 + 6*Y^4 + 3*Y^2 + 4*Y,
    -T^32 + 12/7*T^31 - 27/49*T^30 - T^29 + 26/49*T^28 + 3/7*T^27 - 27/49*T^26 + 
        25/49*T^25 - 31/49*T^24 + 15/49*T^23 + 4/49*T^22 - 8/49*T^21 + 6/49*T^20 + 
        12/49*T^19 - 4/7*T^18 + 20/49*T^17 - 20/49*T^15 + 4/7*T^14 - 12/49*T^13 - 
        6/49*T^12 + 8/49*T^11 - 4/49*T^10 - 15/49*T^9 + 31/49*T^8 - 25/49*T^7 + 
        27/49*T^6 - 3/7*T^5 - 26/49*T^4 + T^3 + 27/49*T^2 - 12/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + X*Y^7 + 2*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + 6*X*Y 
        + 6*X + 6*Y^18 + 6*Y^17 + 2*Y^16 + 5*Y^14 + Y^13 + 2*Y^12 + 5*Y^10 + 6*Y^9 +
        2*Y^8 + 2*Y^7 + 6*Y^5 + 6*Y^4 + Y^3 + 6*Y^2 + 2*Y + 4,
    T^32 + 1/7*T^31 + 2/49*T^30 + 4/7*T^29 - 57/49*T^28 + 15/49*T^27 + 1/49*T^26 - 
        4/7*T^25 + 72/49*T^24 - 10/49*T^23 + 4/49*T^22 + 46/49*T^21 - 41/49*T^20 + 
        17/49*T^19 + 5/49*T^18 - 12/49*T^17 + 60/49*T^16 - 12/49*T^15 + 5/49*T^14 + 
        17/49*T^13 - 41/49*T^12 + 46/49*T^11 + 4/49*T^10 - 10/49*T^9 + 72/49*T^8 - 
        4/7*T^7 + 1/49*T^6 + 15/49*T^5 - 57/49*T^4 + 4/7*T^3 + 2/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 2*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 3*X*Y + Y^18 + 6*Y^16 + 4*Y^15 + 
        3*Y^12 + 6*Y^11 + 2*Y^10 + 6*Y^9 + Y^8 + 4*Y^7 + 5*Y^6 + 4*Y^5 + 6*Y^4 + Y^3
        + Y^2 + 1,
    T^32 - 10/7*T^31 - 12/49*T^30 + 57/49*T^29 - 2/7*T^28 + 5/49*T^27 - 19/49*T^26 -
        13/49*T^25 + 1/49*T^24 + 23/49*T^23 + 5/7*T^22 - 71/49*T^21 + 10/49*T^20 + 
        43/49*T^19 - 30/49*T^18 + 2/49*T^17 + 12/49*T^16 + 2/49*T^15 - 30/49*T^14 + 
        43/49*T^13 + 10/49*T^12 - 71/49*T^11 + 5/7*T^10 + 23/49*T^9 + 1/49*T^8 - 
        13/49*T^7 - 19/49*T^6 + 5/49*T^5 - 2/7*T^4 + 57/49*T^3 - 12/49*T^2 - 10/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 2*X*Y^3 + 6*X*Y + 3*X + 2*Y^18 + 
        3*Y^15 + 3*Y^14 + 6*Y^13 + 2*Y^12 + Y^11 + 3*Y^10 + 2*Y^9 + 3*Y^8 + Y^6 + 
        4*Y^5 + 4*Y^4 + 5*Y^3 + 4*Y^2 + 5,
    -T^32 + 2/7*T^31 + 44/49*T^30 + 15/49*T^29 - 22/49*T^28 - 25/49*T^27 - 1/7*T^26 
        + 6/7*T^25 + 22/49*T^24 - 32/49*T^23 - 16/49*T^22 - 4/49*T^21 + 23/49*T^20 +
        4/49*T^19 - 4/49*T^18 + 2/49*T^17 - 2/49*T^15 + 4/49*T^14 - 4/49*T^13 - 
        23/49*T^12 + 4/49*T^11 + 16/49*T^10 + 32/49*T^9 - 22/49*T^8 - 6/7*T^7 + 
        1/7*T^6 + 25/49*T^5 + 22/49*T^4 - 15/49*T^3 - 44/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 
        6*X*Y^2 + 4*X*Y + X + 3*Y^18 + 3*Y^17 + 3*Y^16 + 5*Y^15 + 2*Y^14 + 4*Y^13 + 
        5*Y^11 + 2*Y^9 + Y^8 + 5*Y^7 + 2*Y^6 + 6*Y^5 + 5*Y^4 + 3*Y^3 + 3*Y^2 + 6*Y +
        4,
    T^32 - 6/7*T^31 - 6/49*T^30 + 45/49*T^29 - 61/49*T^28 + 48/49*T^26 - 34/49*T^25 
        - 2/49*T^24 + 5/7*T^23 - 33/49*T^22 - 2/49*T^21 + 4/7*T^20 - 23/49*T^19 - 
        5/49*T^18 + 19/49*T^17 - 31/49*T^16 + 19/49*T^15 - 5/49*T^14 - 23/49*T^13 + 
        4/7*T^12 - 2/49*T^11 - 33/49*T^10 + 5/7*T^9 - 2/49*T^8 - 34/49*T^7 + 
        48/49*T^6 - 61/49*T^4 + 45/49*T^3 - 6/49*T^2 - 6/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 4*X*Y^3 + X*Y^2 + 2*X*Y + X + Y^18 + 
        3*Y^17 + 2*Y^16 + 4*Y^15 + 4*Y^14 + 6*Y^13 + Y^12 + 6*Y^11 + 2*Y^10 + Y^9 + 
        Y^8 + Y^7 + 3*Y^6 + 4*Y^5 + 5*Y^4 + Y^3 + 2*Y^2 + 6*Y + 3,
    -T^32 - 2/7*T^31 + 9/7*T^30 - 24/49*T^29 - 30/49*T^28 + 53/49*T^27 - 4/49*T^26 -
        9/7*T^25 - 13/49*T^24 + 54/49*T^23 + 38/49*T^22 - 2/7*T^21 + 3/7*T^20 + 
        22/49*T^19 - 46/49*T^18 - 18/49*T^17 + 18/49*T^15 + 46/49*T^14 - 22/49*T^13 
        - 3/7*T^12 + 2/7*T^11 - 38/49*T^10 - 54/49*T^9 + 13/49*T^8 + 9/7*T^7 + 
        4/49*T^6 - 53/49*T^5 + 30/49*T^4 + 24/49*T^3 - 9/7*T^2 + 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 3*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 3*X*Y + X + Y^18 + 
        5*Y^17 + 4*Y^16 + Y^15 + 5*Y^14 + 4*Y^13 + 5*Y^11 + 6*Y^10 + Y^9 + 3*Y^8 + 
        5*Y^7 + 3*Y^6 + 3*Y^5 + Y^2 + 3*Y + 1,
    -T^32 + 2/7*T^31 - 11/49*T^30 + 60/49*T^29 - 20/49*T^28 - 4/49*T^27 - 32/49*T^26
        - 2/49*T^25 + 53/49*T^24 - 16/49*T^23 + 26/49*T^22 - 54/49*T^21 + 52/49*T^20
        - 3/7*T^19 + 16/49*T^18 - 22/49*T^17 + 22/49*T^15 - 16/49*T^14 + 3/7*T^13 - 
        52/49*T^12 + 54/49*T^11 - 26/49*T^10 + 16/49*T^9 - 53/49*T^8 + 2/49*T^7 + 
        32/49*T^6 + 4/49*T^5 + 20/49*T^4 - 60/49*T^3 + 11/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + X*Y^4 + 4*X*Y^3 + X*Y^2 + 3*X*Y + 
        3*X + Y^18 + 5*Y^17 + 2*Y^16 + Y^15 + 5*Y^14 + 4*Y^13 + 3*Y^12 + 2*Y^11 + 
        6*Y^9 + Y^7 + 5*Y^6 + Y^5 + Y^4 + 3*Y^3 + 3*Y^2 + 5*Y + 6,
    -T^32 - 4/7*T^31 + 27/49*T^30 + 45/49*T^29 + 36/49*T^28 - 16/49*T^27 - 
        29/49*T^26 - 27/49*T^25 - 10/49*T^24 + 4/49*T^23 + 3/7*T^22 + 3/7*T^21 + 
        4/7*T^20 - 11/49*T^19 - 32/49*T^18 - 16/49*T^17 + 16/49*T^15 + 32/49*T^14 + 
        11/49*T^13 - 4/7*T^12 - 3/7*T^11 - 3/7*T^10 - 4/49*T^9 + 10/49*T^8 + 
        27/49*T^7 + 29/49*T^6 + 16/49*T^5 - 36/49*T^4 - 45/49*T^3 - 27/49*T^2 + 
        4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        3*X*Y^2 + X*Y + X + Y^18 + Y^17 + 5*Y^16 + 4*Y^14 + 5*Y^12 + 3*Y^11 + 5*Y^10
        + 4*Y^9 + 3*Y^8 + 3*Y^7 + 6*Y^6 + 3*Y^4 + 5*Y^3 + 2*Y^2 + 4*Y + 3,
    T^32 - 5/7*T^31 + 4/49*T^30 + 2/7*T^29 - 34/49*T^28 + 38/49*T^27 - 38/49*T^26 - 
        1/7*T^24 - 36/49*T^23 + 47/49*T^22 - 60/49*T^21 + 37/49*T^20 - 5/49*T^19 - 
        11/49*T^18 + 54/49*T^17 - 33/49*T^16 + 54/49*T^15 - 11/49*T^14 - 5/49*T^13 +
        37/49*T^12 - 60/49*T^11 + 47/49*T^10 - 36/49*T^9 - 1/7*T^8 - 38/49*T^6 + 
        38/49*T^5 - 34/49*T^4 + 2/7*T^3 + 4/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + X*Y^4 + 2*X*Y^3 + 3*X*Y^2 + 4*X*Y 
        + 5*Y^18 + 2*Y^16 + 3*Y^15 + 2*Y^14 + 3*Y^13 + 2*Y^12 + 3*Y^11 + Y^10 + 
        2*Y^9 + 6*Y^7 + Y^6 + 6*Y^5 + 2*Y^4 + Y^3 + Y^2 + 2*Y + 1,
    -T^32 + 2/7*T^31 + 39/49*T^30 - 13/49*T^29 - 2/49*T^28 + 1/7*T^27 - 13/49*T^26 -
        22/49*T^25 + 4/49*T^24 + T^23 - 2/7*T^22 - 40/49*T^21 + 8/49*T^20 - 
        2/49*T^19 + 17/49*T^18 + 18/49*T^17 - 18/49*T^15 - 17/49*T^14 + 2/49*T^13 - 
        8/49*T^12 + 40/49*T^11 + 2/7*T^10 - T^9 - 4/49*T^8 + 22/49*T^7 + 13/49*T^6 -
        1/7*T^5 + 2/49*T^4 + 13/49*T^3 - 39/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + X*Y^3 + 
        3*X*Y^2 + 6*X*Y + 2*X + 2*Y^18 + 4*Y^16 + 5*Y^15 + 6*Y^12 + 6*Y^11 + 3*Y^10 
        + Y^9 + 4*Y^7 + Y^6 + 6*Y^2 + 5*Y + 4,
    -T^32 + T^31 + 30/49*T^30 - 78/49*T^29 + 4/7*T^28 + 8/49*T^27 + 12/49*T^25 - 
        39/49*T^24 + 10/49*T^23 + 33/49*T^22 - 8/49*T^21 + 22/49*T^20 - 29/49*T^19 -
        43/49*T^18 + 86/49*T^17 - 86/49*T^15 + 43/49*T^14 + 29/49*T^13 - 22/49*T^12 
        + 8/49*T^11 - 33/49*T^10 - 10/49*T^9 + 39/49*T^8 - 12/49*T^7 - 8/49*T^5 - 
        4/7*T^4 + 78/49*T^3 - 30/49*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 3*X*Y 
        + 5*Y^18 + 5*Y^17 + Y^16 + 6*Y^15 + 4*Y^14 + Y^12 + 6*Y^11 + 2*Y^10 + Y^8 + 
        2*Y^7 + Y^6 + 3*Y^5 + 4*Y^4 + 3*Y^3 + Y^2 + 6*Y + 4,
    T^32 + 8/7*T^31 + 9/49*T^30 + 5/7*T^28 + 46/49*T^27 + 11/49*T^26 - 19/49*T^25 - 
        22/49*T^24 + 9/49*T^23 + 18/49*T^22 - 2/7*T^21 - 5/7*T^20 - 5/7*T^19 - 
        20/49*T^18 - 31/49*T^17 - 50/49*T^16 - 31/49*T^15 - 20/49*T^14 - 5/7*T^13 - 
        5/7*T^12 - 2/7*T^11 + 18/49*T^10 + 9/49*T^9 - 22/49*T^8 - 19/49*T^7 + 
        11/49*T^6 + 46/49*T^5 + 5/7*T^4 + 9/49*T^2 + 8/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        4*X*Y^2 + 3*X*Y + 2*X + 3*Y^18 + 6*Y^17 + 2*Y^15 + 3*Y^14 + 5*Y^12 + 2*Y^11 
        + 5*Y^9 + 5*Y^8 + Y^7 + 2*Y^6 + 2*Y^5 + Y^4 + 6*Y^3 + 2*Y^2 + Y + 6,
    -T^32 - 34/49*T^30 - 1/7*T^29 + 4/7*T^28 - 36/49*T^27 + 60/49*T^26 - 68/49*T^25 
        + 37/49*T^24 + 5/49*T^23 - 12/49*T^22 + 93/49*T^21 - 47/49*T^20 + 85/49*T^19
        - 10/7*T^18 + 33/49*T^17 - 33/49*T^15 + 10/7*T^14 - 85/49*T^13 + 47/49*T^12 
        - 93/49*T^11 + 12/49*T^10 - 5/49*T^9 - 37/49*T^8 + 68/49*T^7 - 60/49*T^6 + 
        36/49*T^5 - 4/7*T^4 + 1/7*T^3 + 34/49*T^2 + 1
*], [*
    X^3 + 6*X*Y^8 + 2*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 5*X*Y + 3*X + 
        6*Y^18 + 3*Y^17 + 6*Y^16 + 3*Y^15 + 2*Y^14 + 4*Y^13 + 5*Y^11 + 5*Y^10 + 
        6*Y^9 + 2*Y^8 + 3*Y^7 + 5*Y^6 + 2*Y^5 + 5*Y^4 + 6*Y^3 + Y^2 + 6,
    T^32 + 13/7*T^31 + 96/49*T^30 + 76/49*T^29 + 31/49*T^28 + 48/49*T^27 + 
        64/49*T^26 + 10/7*T^25 + 11/7*T^24 + 73/49*T^23 + 88/49*T^22 + 81/49*T^21 + 
        72/49*T^20 + 79/49*T^19 + 12/7*T^18 + 82/49*T^17 + 79/49*T^16 + 82/49*T^15 +
        12/7*T^14 + 79/49*T^13 + 72/49*T^12 + 81/49*T^11 + 88/49*T^10 + 73/49*T^9 + 
        11/7*T^8 + 10/7*T^7 + 64/49*T^6 + 48/49*T^5 + 31/49*T^4 + 76/49*T^3 + 
        96/49*T^2 + 13/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + 3*X*Y 
        + 3*X + 3*Y^18 + 3*Y^17 + 2*Y^16 + 3*Y^15 + 6*Y^14 + 5*Y^12 + 2*Y^11 + Y^10 
        + 3*Y^8 + 2*Y^7 + 6*Y^6 + Y^5 + 5*Y^4 + 3*Y + 1,
    -T^32 + 19/7*T^31 - 200/49*T^30 + 227/49*T^29 - 25/7*T^28 + 9/7*T^27 + 
        60/49*T^26 - 145/49*T^25 + 181/49*T^24 - 177/49*T^23 + 115/49*T^22 - 
        36/49*T^21 - 50/49*T^20 + 127/49*T^19 - 135/49*T^18 + 85/49*T^17 - 
        85/49*T^15 + 135/49*T^14 - 127/49*T^13 + 50/49*T^12 + 36/49*T^11 - 
        115/49*T^10 + 177/49*T^9 - 181/49*T^8 + 145/49*T^7 - 60/49*T^6 - 9/7*T^5 + 
        25/7*T^4 - 227/49*T^3 + 200/49*T^2 - 19/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 6*X*Y^7 + X*Y^6 + 6*X*Y^5 + 5*X*Y^3 + 5*X*Y + 2*X + 
        4*Y^18 + 4*Y^17 + 5*Y^16 + Y^15 + 4*Y^14 + 3*Y^12 + Y^11 + 4*Y^10 + 3*Y^9 + 
        3*Y^8 + 2*Y^7 + 5*Y^6 + 4*Y^5 + 5*Y^4 + Y^3 + 6*Y^2 + 4*Y + 3,
    -T^32 - 11/7*T^31 - 86/49*T^30 - 73/49*T^29 - 53/49*T^28 - 80/49*T^27 - 
        10/7*T^26 - 81/49*T^25 - 41/49*T^24 - 3/49*T^23 - 20/49*T^22 - 50/49*T^21 - 
        83/49*T^20 - 30/49*T^19 + 5/49*T^18 + 22/49*T^17 - 22/49*T^15 - 5/49*T^14 + 
        30/49*T^13 + 83/49*T^12 + 50/49*T^11 + 20/49*T^10 + 3/49*T^9 + 41/49*T^8 + 
        81/49*T^7 + 10/7*T^6 + 80/49*T^5 + 53/49*T^4 + 73/49*T^3 + 86/49*T^2 + 
        11/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^6 + X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 5*X*Y + 4*X + 
        3*Y^18 + 5*Y^17 + 2*Y^16 + 3*Y^15 + 5*Y^14 + 5*Y^13 + 6*Y^12 + 4*Y^11 + 
        4*Y^10 + 4*Y^8 + Y^5 + 2*Y^4 + 2*Y^3 + 5*Y^2 + 4*Y,
    -T^32 + 11/7*T^31 - 39/49*T^30 - 13/49*T^29 + 25/49*T^28 - 36/49*T^27 + 
        57/49*T^26 - 19/49*T^25 - 38/49*T^24 + 43/49*T^23 - 12/49*T^22 + 11/49*T^21 
        - 1/7*T^20 - 12/49*T^19 - 1/7*T^18 + 37/49*T^17 - 37/49*T^15 + 1/7*T^14 + 
        12/49*T^13 + 1/7*T^12 - 11/49*T^11 + 12/49*T^10 - 43/49*T^9 + 38/49*T^8 + 
        19/49*T^7 - 57/49*T^6 + 36/49*T^5 - 25/49*T^4 + 13/49*T^3 + 39/49*T^2 - 
        11/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + X*Y^4 + X*Y^2 + 2*X*Y + 2*X + 6*Y^18
        + 6*Y^17 + Y^15 + 3*Y^14 + 5*Y^12 + 5*Y^11 + Y^10 + 4*Y^9 + 6*Y^8 + 2*Y^7 + 
        6*Y^6 + 4*Y^5 + 5*Y^4 + 3*Y^3 + 2*Y^2 + 1,
    T^32 + 9/7*T^31 + 25/49*T^30 - 32/49*T^29 - 53/49*T^28 - 3/49*T^27 + 43/49*T^26 
        + 58/49*T^25 + 3/49*T^24 - 32/49*T^23 - 29/49*T^22 + 8/49*T^21 + 58/49*T^20 
        + 8/7*T^19 + 12/49*T^18 - 38/49*T^17 - 52/49*T^16 - 38/49*T^15 + 12/49*T^14 
        + 8/7*T^13 + 58/49*T^12 + 8/49*T^11 - 29/49*T^10 - 32/49*T^9 + 3/49*T^8 + 
        58/49*T^7 + 43/49*T^6 - 3/49*T^5 - 53/49*T^4 - 32/49*T^3 + 25/49*T^2 + 9/7*T
        + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 4*X*Y + 3*Y^18
        + Y^17 + Y^15 + 6*Y^14 + 4*Y^13 + 5*Y^12 + 6*Y^11 + 5*Y^10 + Y^9 + 5*Y^8 + 
        2*Y^7 + 6*Y^6 + 2*Y^5 + 2*Y^4 + Y^3 + 6*Y^2 + 5,
    -T^32 + 5/7*T^31 + 19/49*T^30 + 8/49*T^29 - 25/49*T^28 + 8/49*T^27 + 12/49*T^26 
        - 19/49*T^25 + 30/49*T^24 + 6/49*T^23 - 19/49*T^22 - 26/49*T^21 - 5/49*T^20 
        + 23/49*T^19 - 2/7*T^18 + 5/49*T^17 - 5/49*T^15 + 2/7*T^14 - 23/49*T^13 + 
        5/49*T^12 + 26/49*T^11 + 19/49*T^10 - 6/49*T^9 - 30/49*T^8 + 19/49*T^7 - 
        12/49*T^6 - 8/49*T^5 + 25/49*T^4 - 8/49*T^3 - 19/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + X*Y^5 + 3*X*Y^4 + X*Y^3 + X*Y^2 + X*Y + 6*X + 3*Y^18 +
        5*Y^17 + 4*Y^15 + Y^14 + 3*Y^13 + 4*Y^12 + 4*Y^11 + 3*Y^8 + Y^6 + 6*Y^5 + 
        2*Y^4 + 4*Y^3 + 6*Y^2 + 3*Y + 5,
    -T^32 + 8/7*T^31 - 1/7*T^30 + 18/49*T^29 - 23/49*T^28 - 15/49*T^27 + 4/49*T^26 -
        6/49*T^25 + 45/49*T^24 - 18/49*T^23 + 15/49*T^22 - 47/49*T^21 + 13/49*T^20 +
        3/49*T^19 + 6/49*T^18 + 3/7*T^17 - 3/7*T^15 - 6/49*T^14 - 3/49*T^13 - 
        13/49*T^12 + 47/49*T^11 - 15/49*T^10 + 18/49*T^9 - 45/49*T^8 + 6/49*T^7 - 
        4/49*T^6 + 15/49*T^5 + 23/49*T^4 - 18/49*T^3 + 1/7*T^2 - 8/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^7 + 4*X*Y^5 + 6*X*Y^4 + 5*X*Y^2 + 5*X + 4*Y^18 + Y^17 + 
        5*Y^16 + 4*Y^14 + 6*Y^12 + Y^11 + 3*Y^10 + 3*Y^9 + 3*Y^8 + 3*Y^7 + 6*Y^6 + 
        4*Y^5 + 2*Y^4 + 3*Y^3 + 2*Y + 1,
    T^32 - 1/7*T^31 - 12/49*T^30 + 26/49*T^29 - 25/49*T^28 - 13/49*T^27 + 2/49*T^26 
        + 15/49*T^25 - 24/49*T^24 + 17/49*T^23 + 22/49*T^22 - 9/49*T^21 - 5/49*T^20 
        + 3/49*T^19 - 6/49*T^18 - 32/49*T^17 + 1/7*T^16 - 32/49*T^15 - 6/49*T^14 + 
        3/49*T^13 - 5/49*T^12 - 9/49*T^11 + 22/49*T^10 + 17/49*T^9 - 24/49*T^8 + 
        15/49*T^7 + 2/49*T^6 - 13/49*T^5 - 25/49*T^4 + 26/49*T^3 - 12/49*T^2 - 1/7*T
        + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 5*X*Y^7 + X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + X*Y^2 + 
        6*X + 6*Y^18 + 6*Y^17 + 5*Y^16 + 2*Y^15 + 5*Y^13 + 5*Y^12 + 5*Y^11 + 5*Y^9 +
        Y^8 + 6*Y^7 + 2*Y^6 + 2*Y^5 + 2*Y^4 + Y^3 + 4*Y^2 + 5*Y,
    T^32 - T^31 + 2/7*T^30 - 2/49*T^29 + 10/49*T^28 - 17/49*T^27 - 4/49*T^26 + 
        2/7*T^25 - 31/49*T^24 + 22/49*T^23 - 23/49*T^22 + 16/49*T^21 - 9/49*T^19 + 
        3/7*T^18 - 29/49*T^17 + 45/49*T^16 - 29/49*T^15 + 3/7*T^14 - 9/49*T^13 + 
        16/49*T^11 - 23/49*T^10 + 22/49*T^9 - 31/49*T^8 + 2/7*T^7 - 4/49*T^6 - 
        17/49*T^5 + 10/49*T^4 - 2/49*T^3 + 2/7*T^2 - T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 5*X*Y^4 + 4*X*Y^3 + X*Y^2 + 5*X*Y 
        + 6*X + 6*Y^18 + Y^17 + 2*Y^16 + 3*Y^15 + 6*Y^14 + 3*Y^13 + 6*Y^12 + 3*Y^11 
        + 5*Y^10 + 5*Y^9 + Y^8 + 3*Y^7 + 5*Y^6 + 5*Y^5 + 4*Y^4 + 4*Y^3 + 3*Y^2 + 5,
    -T^32 - 2/7*T^31 + 75/49*T^30 - 41/49*T^29 - 80/49*T^28 + 65/49*T^27 + 
        54/49*T^26 - 5/7*T^25 - 53/49*T^24 + T^23 + 66/49*T^22 - 117/49*T^21 - 
        34/49*T^20 + 110/49*T^19 - 37/49*T^18 - 80/49*T^17 + 80/49*T^15 + 37/49*T^14
        - 110/49*T^13 + 34/49*T^12 + 117/49*T^11 - 66/49*T^10 - T^9 + 53/49*T^8 + 
        5/7*T^7 - 54/49*T^6 - 65/49*T^5 + 80/49*T^4 + 41/49*T^3 - 75/49*T^2 + 2/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 2*X*Y^6 + 2*X*Y^5 + 2*X*Y^3 + X*Y^2 + 6*X + Y^18 + 
        5*Y^17 + Y^16 + 3*Y^15 + Y^14 + 5*Y^13 + 3*Y^12 + 5*Y^10 + 4*Y^9 + Y^8 + Y^7
        + 6*Y^6 + 4*Y^5 + Y^4 + 6*Y^3 + 6*Y^2 + 3*Y + 1,
    T^32 - 6/7*T^31 + 17/49*T^30 + 3/49*T^29 + 4/49*T^28 - 2/49*T^27 + 10/49*T^26 - 
        24/49*T^25 + 1/49*T^24 - 16/49*T^22 + 5/49*T^21 - 4/49*T^20 + 29/49*T^19 - 
        29/49*T^18 + 46/49*T^17 - 30/49*T^16 + 46/49*T^15 - 29/49*T^14 + 29/49*T^13 
        - 4/49*T^12 + 5/49*T^11 - 16/49*T^10 + 1/49*T^8 - 24/49*T^7 + 10/49*T^6 - 
        2/49*T^5 + 4/49*T^4 + 3/49*T^3 + 17/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        6*X*Y^2 + 6*X + 4*Y^18 + 5*Y^16 + 4*Y^15 + 3*Y^14 + 2*Y^12 + 2*Y^11 + 6*Y^10
        + 4*Y^9 + 4*Y^8 + Y^7 + 3*Y^6 + 5*Y^5 + 4*Y^4 + 5*Y^3 + 3*Y^2 + 2*Y + 2,
    T^32 + 13/7*T^31 + 47/49*T^30 - 31/49*T^29 - 79/49*T^28 - 87/49*T^27 - 
        53/49*T^26 + 11/49*T^25 + 11/7*T^24 + 17/7*T^23 + 80/49*T^22 - 13/49*T^21 - 
        12/7*T^20 - 83/49*T^19 - 13/49*T^18 + T^17 + 65/49*T^16 + T^15 - 13/49*T^14 
        - 83/49*T^13 - 12/7*T^12 - 13/49*T^11 + 80/49*T^10 + 17/7*T^9 + 11/7*T^8 + 
        11/49*T^7 - 53/49*T^6 - 87/49*T^5 - 79/49*T^4 - 31/49*T^3 + 47/49*T^2 + 
        13/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + X*Y^4 + 6*X*Y^3 + 
        2*X*Y^2 + 4*X*Y + 5*X + 3*Y^18 + Y^17 + Y^16 + Y^15 + 2*Y^13 + 6*Y^12 + 
        2*Y^11 + 5*Y^10 + 5*Y^8 + 5*Y^7 + 6*Y^6 + Y^5 + Y^4 + 5*Y^3 + 5*Y + 5,
    T^32 - 8/7*T^31 + 68/49*T^30 - 46/49*T^29 + 23/49*T^28 - 2/7*T^27 - 30/49*T^26 +
        81/49*T^25 - 17/7*T^24 + 124/49*T^23 - 97/49*T^22 + T^21 - 22/49*T^20 - 
        4/7*T^19 + 69/49*T^18 - 102/49*T^17 + 138/49*T^16 - 102/49*T^15 + 69/49*T^14
        - 4/7*T^13 - 22/49*T^12 + T^11 - 97/49*T^10 + 124/49*T^9 - 17/7*T^8 + 
        81/49*T^7 - 30/49*T^6 - 2/7*T^5 + 23/49*T^4 - 46/49*T^3 + 68/49*T^2 - 8/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + X*Y^3 + 6*X*Y^2 + 6*X + 
        6*Y^18 + 2*Y^17 + Y^16 + 6*Y^15 + 3*Y^14 + 5*Y^13 + 4*Y^11 + 3*Y^9 + 4*Y^7 +
        Y^6 + 4*Y^5 + Y^4 + 3*Y^3 + 5*Y^2 + Y + 4,
    T^32 + 11/7*T^31 + 86/49*T^30 + 60/49*T^29 - 19/49*T^28 - 15/7*T^27 - 
        160/49*T^26 - 134/49*T^25 - 76/49*T^24 + 37/49*T^23 + 122/49*T^22 + 
        138/49*T^21 + 16/7*T^20 + 41/49*T^19 - 44/49*T^18 - 2*T^17 - 108/49*T^16 - 
        2*T^15 - 44/49*T^14 + 41/49*T^13 + 16/7*T^12 + 138/49*T^11 + 122/49*T^10 + 
        37/49*T^9 - 76/49*T^8 - 134/49*T^7 - 160/49*T^6 - 15/7*T^5 - 19/49*T^4 + 
        60/49*T^3 + 86/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^7 + 3*X*Y^6 + X*Y^5 + X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + 5*X*Y + 
        X + 3*Y^18 + 2*Y^17 + 4*Y^16 + 6*Y^15 + 5*Y^14 + 2*Y^13 + 6*Y^12 + 4*Y^10 + 
        2*Y^7 + 6*Y^6 + 3*Y^5 + Y^4 + 3*Y^3 + 3*Y^2 + 1,
    T^32 + 6/7*T^31 - 17/49*T^30 - 17/49*T^29 - 75/49*T^28 - 107/49*T^27 - 6/49*T^26
        + 72/49*T^25 + 116/49*T^24 + 124/49*T^23 + 5/49*T^22 - 2*T^21 - 149/49*T^20 
        - 148/49*T^19 + 3/49*T^18 + 132/49*T^17 + 152/49*T^16 + 132/49*T^15 + 
        3/49*T^14 - 148/49*T^13 - 149/49*T^12 - 2*T^11 + 5/49*T^10 + 124/49*T^9 + 
        116/49*T^8 + 72/49*T^7 - 6/49*T^6 - 107/49*T^5 - 75/49*T^4 - 17/49*T^3 - 
        17/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 2*X*Y^4 + 5*X*Y^2 + 4*X*Y + 6*X + 
        4*Y^18 + 6*Y^17 + Y^16 + 6*Y^15 + Y^14 + 4*Y^13 + 3*Y^12 + Y^10 + 6*Y^9 + 
        Y^8 + 4*Y^7 + 3*Y^6 + 3*Y^5 + Y^4 + 6*Y^2 + 1,
    T^32 + 10/7*T^31 + 50/49*T^30 + 8/49*T^29 - 32/49*T^28 - 22/49*T^27 + 3/49*T^26 
        + 34/49*T^25 + 74/49*T^24 + 65/49*T^23 + 34/49*T^22 - 10/49*T^21 - 
        43/49*T^20 - 15/49*T^19 + 24/49*T^18 + 62/49*T^17 + 82/49*T^16 + 62/49*T^15 
        + 24/49*T^14 - 15/49*T^13 - 43/49*T^12 - 10/49*T^11 + 34/49*T^10 + 65/49*T^9
        + 74/49*T^8 + 34/49*T^7 + 3/49*T^6 - 22/49*T^5 - 32/49*T^4 + 8/49*T^3 + 
        50/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + X*Y^2 + 6*X + 
        3*Y^18 + Y^16 + Y^14 + 4*Y^13 + Y^12 + 4*Y^11 + 4*Y^10 + 5*Y^9 + 5*Y^8 + 
        3*Y^7 + 6*Y^6 + Y^5 + 5*Y^2 + 5*Y + 1,
    T^32 - 2*T^31 + 81/49*T^30 + 38/49*T^29 - 166/49*T^28 + 146/49*T^27 - 3/49*T^26 
        - 106/49*T^25 + 71/49*T^24 + 45/49*T^23 - 65/49*T^22 - 2/7*T^21 + 
        114/49*T^20 - 104/49*T^19 + 2/7*T^18 + 11/7*T^17 - 122/49*T^16 + 11/7*T^15 +
        2/7*T^14 - 104/49*T^13 + 114/49*T^12 - 2/7*T^11 - 65/49*T^10 + 45/49*T^9 + 
        71/49*T^8 - 106/49*T^7 - 3/49*T^6 + 146/49*T^5 - 166/49*T^4 + 38/49*T^3 + 
        81/49*T^2 - 2*T + 1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 6*X + 
        2*Y^18 + 3*Y^17 + 6*Y^16 + 2*Y^15 + 6*Y^14 + 6*Y^13 + 6*Y^12 + 5*Y^11 + 
        4*Y^9 + 3*Y^8 + 3*Y^7 + 3*Y^6 + 2*Y^5 + Y^4 + 2*Y^3 + 4*Y^2 + 1,
    -T^32 + 6/7*T^31 + 58/49*T^30 - 3/7*T^29 - 47/49*T^28 + 11/49*T^27 - 22/49*T^26 
        - 5/49*T^25 + 48/49*T^24 + 26/49*T^23 - 27/49*T^22 - 16/49*T^21 - 3/49*T^20 
        - 5/7*T^19 + 2/7*T^18 + 9/7*T^17 - 9/7*T^15 - 2/7*T^14 + 5/7*T^13 + 
        3/49*T^12 + 16/49*T^11 + 27/49*T^10 - 26/49*T^9 - 48/49*T^8 + 5/49*T^7 + 
        22/49*T^6 - 11/49*T^5 + 47/49*T^4 + 3/7*T^3 - 58/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^7 + X*Y^5 + 5*X*Y^4 + 3*X*Y^2 + 2*X*Y + 5*X + 3*Y^18 + 
        4*Y^16 + Y^15 + 4*Y^14 + 3*Y^13 + 2*Y^12 + 5*Y^11 + 3*Y^10 + 3*Y^9 + 6*Y^8 +
        2*Y^7 + 6*Y^5 + Y^4 + Y^2 + 4,
    T^32 - 6/7*T^31 - 22/49*T^30 + 27/49*T^29 - 38/49*T^28 + 36/49*T^27 + 4/49*T^26 
        - 48/49*T^25 + 4/7*T^24 + 29/49*T^23 - 43/49*T^22 + 45/49*T^21 - 3/49*T^20 -
        20/49*T^19 + 4/7*T^18 - 27/49*T^17 - 2/49*T^16 - 27/49*T^15 + 4/7*T^14 - 
        20/49*T^13 - 3/49*T^12 + 45/49*T^11 - 43/49*T^10 + 29/49*T^9 + 4/7*T^8 - 
        48/49*T^7 + 4/49*T^6 + 36/49*T^5 - 38/49*T^4 + 27/49*T^3 - 22/49*T^2 - 6/7*T
        + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 
        5*X*Y^2 + 6*X*Y + X + Y^18 + 5*Y^17 + 2*Y^16 + 4*Y^14 + 3*Y^13 + Y^12 + 
        6*Y^11 + 3*Y^10 + 5*Y^9 + Y^8 + 5*Y^7 + 4*Y^6 + 2*Y^5 + 6*Y^4 + 2*Y^2,
    T^32 - 1/7*T^31 - 39/49*T^30 + 20/49*T^29 + 60/49*T^28 - 33/49*T^27 - 26/49*T^26
        + 4/49*T^25 + 3/49*T^24 + 37/49*T^23 + 3/49*T^22 - 55/49*T^21 - 22/49*T^20 +
        62/49*T^19 - 3/49*T^18 - 8/49*T^17 - 9/49*T^16 - 8/49*T^15 - 3/49*T^14 + 
        62/49*T^13 - 22/49*T^12 - 55/49*T^11 + 3/49*T^10 + 37/49*T^9 + 3/49*T^8 + 
        4/49*T^7 - 26/49*T^6 - 33/49*T^5 + 60/49*T^4 + 20/49*T^3 - 39/49*T^2 - 1/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 
        5*X*Y^2 + X*Y + 3*X + 2*Y^18 + 6*Y^17 + 3*Y^16 + 6*Y^15 + 2*Y^13 + Y^11 + 
        Y^10 + 5*Y^9 + 4*Y^8 + 3*Y^6 + Y^5 + 3*Y^2 + 4*Y + 3,
    T^32 + 5/7*T^31 - 32/49*T^30 - 55/49*T^29 + 6/49*T^28 + 50/49*T^27 - 18/49*T^26 
        - 47/49*T^25 - 26/49*T^24 + 32/49*T^23 + 39/49*T^22 - 2/7*T^21 - 32/49*T^20 
        - 4/49*T^19 + 4/7*T^18 + 1/7*T^17 - 20/49*T^16 + 1/7*T^15 + 4/7*T^14 - 
        4/49*T^13 - 32/49*T^12 - 2/7*T^11 + 39/49*T^10 + 32/49*T^9 - 26/49*T^8 - 
        47/49*T^7 - 18/49*T^6 + 50/49*T^5 + 6/49*T^4 - 55/49*T^3 - 32/49*T^2 + 5/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + 2*X + 3*Y^18 + Y^17 + Y^16 + 3*Y^15 + 3*Y^14 + 4*Y^12 + Y^11 + 
        5*Y^10 + Y^9 + 4*Y^8 + 5*Y^7 + 5*Y^5 + 2*Y^4 + 3*Y^2 + Y + 4,
    T^32 - 5/7*T^31 - 9/7*T^30 + 74/49*T^29 + 1/49*T^28 - T^27 + 41/49*T^26 + 
        11/49*T^25 - 34/49*T^24 - 4/49*T^23 + 11/49*T^22 + 1/7*T^21 - 20/49*T^20 - 
        1/7*T^19 + T^18 - 1/49*T^17 - 60/49*T^16 - 1/49*T^15 + T^14 - 1/7*T^13 - 
        20/49*T^12 + 1/7*T^11 + 11/49*T^10 - 4/49*T^9 - 34/49*T^8 + 11/49*T^7 + 
        41/49*T^6 - T^5 + 1/49*T^4 + 74/49*T^3 - 9/7*T^2 - 5/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + 2*X*Y^3 + X*Y^2 + 
        6*X*Y + 6*X + 2*Y^18 + 5*Y^17 + Y^16 + 3*Y^15 + 3*Y^14 + 5*Y^13 + 4*Y^12 + 
        4*Y^11 + 2*Y^10 + 3*Y^8 + 6*Y^7 + 3*Y^6 + Y^4 + Y^3 + 1,
    T^32 - T^31 + 45/49*T^30 + 19/49*T^29 - 48/49*T^28 + T^27 - 25/49*T^26 - 
        52/49*T^25 + 71/49*T^24 - 73/49*T^23 - 5/49*T^22 + 72/49*T^21 - 111/49*T^20 
        + 92/49*T^19 - 22/49*T^18 - 58/49*T^17 + 96/49*T^16 - 58/49*T^15 - 
        22/49*T^14 + 92/49*T^13 - 111/49*T^12 + 72/49*T^11 - 5/49*T^10 - 73/49*T^9 +
        71/49*T^8 - 52/49*T^7 - 25/49*T^6 + T^5 - 48/49*T^4 + 19/49*T^3 + 45/49*T^2 
        - T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 
        4*X*Y^2 + 6*X*Y + 2*X + 5*Y^18 + 6*Y^17 + 6*Y^15 + Y^14 + 2*Y^13 + 3*Y^12 + 
        Y^11 + 2*Y^10 + 4*Y^9 + 4*Y^8 + 4*Y^7 + 5*Y^5 + 6*Y^4 + 2*Y^2 + Y,
    T^32 - 2/7*T^31 - 20/49*T^30 + 4/49*T^29 + 19/49*T^28 + 6/49*T^27 - 41/49*T^26 -
        24/49*T^25 - 4/49*T^24 + 27/49*T^23 + 1/7*T^22 - 44/49*T^21 - 17/49*T^20 + 
        33/49*T^19 + 44/49*T^18 - 9/49*T^17 - 16/49*T^16 - 9/49*T^15 + 44/49*T^14 + 
        33/49*T^13 - 17/49*T^12 - 44/49*T^11 + 1/7*T^10 + 27/49*T^9 - 4/49*T^8 - 
        24/49*T^7 - 41/49*T^6 + 6/49*T^5 + 19/49*T^4 + 4/49*T^3 - 20/49*T^2 - 2/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^8 + X*Y^7 + 6*X*Y^6 + X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 2*X*Y + 2*Y^18 + 
        5*Y^17 + 6*Y^16 + Y^15 + 5*Y^14 + 4*Y^13 + 3*Y^12 + 3*Y^11 + 6*Y^10 + 5*Y^9 
        + 5*Y^8 + 5*Y^7 + Y^6 + 3*Y^4 + 6*Y^3 + 2*Y^2 + 3*Y + 1,
    -T^32 - 9/7*T^31 - 48/49*T^30 + 20/49*T^29 + 80/49*T^28 + 66/49*T^27 + 
        34/49*T^26 - 23/49*T^25 - 29/49*T^24 + 11/49*T^23 + 30/49*T^22 + 22/49*T^21 
        - 17/49*T^20 - 64/49*T^19 - 53/49*T^18 - 46/49*T^17 + 46/49*T^15 + 
        53/49*T^14 + 64/49*T^13 + 17/49*T^12 - 22/49*T^11 - 30/49*T^10 - 11/49*T^9 +
        29/49*T^8 + 23/49*T^7 - 34/49*T^6 - 66/49*T^5 - 80/49*T^4 - 20/49*T^3 + 
        48/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + 5*X*Y + 6*X + Y^18 + 3*Y^17 + 4*Y^16 + 5*Y^13 + 2*Y^12 + 4*Y^11 + 
        4*Y^10 + 2*Y^9 + 6*Y^8 + 5*Y^7 + 4*Y^6 + 4*Y^5 + Y^4 + Y^3 + 6*Y^2 + 5*Y + 
        6,
    -T^32 + 4/7*T^31 + 45/49*T^30 - 52/49*T^29 + 8/49*T^28 + 13/49*T^27 - 10/49*T^26
        + 23/49*T^25 + 4/49*T^24 - 12/49*T^23 - 5/49*T^22 + 19/49*T^21 - 10/49*T^20 
        + 25/49*T^19 + 27/49*T^18 - 74/49*T^17 + 74/49*T^15 - 27/49*T^14 - 
        25/49*T^13 + 10/49*T^12 - 19/49*T^11 + 5/49*T^10 + 12/49*T^9 - 4/49*T^8 - 
        23/49*T^7 + 10/49*T^6 - 13/49*T^5 - 8/49*T^4 + 52/49*T^3 - 45/49*T^2 - 4/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 4*X*Y + 2*Y^18 +
        2*Y^17 + 2*Y^15 + 6*Y^14 + Y^13 + Y^12 + 2*Y^10 + 3*Y^8 + 3*Y^7 + Y^6 + 
        4*Y^5 + 2*Y^4 + 2*Y^3 + Y + 4,
    T^32 + 8/7*T^31 + 29/49*T^30 + 41/49*T^29 + 50/49*T^28 + 55/49*T^27 + 73/49*T^26
        + 80/49*T^25 + 74/49*T^24 + 76/49*T^23 + 83/49*T^22 + 87/49*T^21 + 
        85/49*T^20 + 89/49*T^19 + 15/7*T^18 + 114/49*T^17 + 109/49*T^16 + 
        114/49*T^15 + 15/7*T^14 + 89/49*T^13 + 85/49*T^12 + 87/49*T^11 + 83/49*T^10 
        + 76/49*T^9 + 74/49*T^8 + 80/49*T^7 + 73/49*T^6 + 55/49*T^5 + 50/49*T^4 + 
        41/49*T^3 + 29/49*T^2 + 8/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 5*X*Y^7 + X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 3*X*Y^2 
        + 3*X*Y + 2*X + 6*Y^18 + Y^16 + 5*Y^15 + 6*Y^14 + Y^13 + 2*Y^12 + 3*Y^11 + 
        6*Y^10 + 5*Y^9 + 4*Y^7 + Y^6 + 5*Y^5 + 5*Y^4 + 4*Y^2 + 5*Y + 1,
    -T^32 - 12/7*T^31 - 15/49*T^30 + 93/49*T^29 + 72/49*T^28 - 5/7*T^27 - 73/49*T^26
        - 24/49*T^25 - 15/49*T^24 + 2/49*T^23 + 89/49*T^22 + 148/49*T^21 + 
        54/49*T^20 - 73/49*T^19 - 81/49*T^18 - 19/49*T^17 + 19/49*T^15 + 81/49*T^14 
        + 73/49*T^13 - 54/49*T^12 - 148/49*T^11 - 89/49*T^10 - 2/49*T^9 + 15/49*T^8 
        + 24/49*T^7 + 73/49*T^6 + 5/7*T^5 - 72/49*T^4 - 93/49*T^3 + 15/49*T^2 + 
        12/7*T + 1
*], [*
    X^3 + 3*X*Y^7 + 2*X*Y^6 + X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + X*Y + 6*Y^18 + 
        4*Y^17 + 5*Y^16 + Y^15 + 4*Y^14 + Y^13 + Y^12 + 5*Y^11 + 5*Y^9 + 5*Y^8 + Y^7
        + 2*Y^6 + 5*Y^5 + 4*Y^4 + 6*Y^3 + 4*Y^2 + 5*Y + 4,
    T^32 + 5/7*T^31 + 71/49*T^30 + 4/49*T^29 + 19/49*T^28 - 47/49*T^27 - 30/49*T^26 
        - 58/49*T^25 - 32/49*T^24 - 23/49*T^23 - 6/49*T^22 + 1/7*T^21 + 2/49*T^20 + 
        18/49*T^19 + 1/49*T^18 + 9/49*T^17 - 2/49*T^16 + 9/49*T^15 + 1/49*T^14 + 
        18/49*T^13 + 2/49*T^12 + 1/7*T^11 - 6/49*T^10 - 23/49*T^9 - 32/49*T^8 - 
        58/49*T^7 - 30/49*T^6 - 47/49*T^5 + 19/49*T^4 + 4/49*T^3 + 71/49*T^2 + 5/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + X*Y^7 + X*Y^6 + 5*X*Y^5 + X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 
        3*X*Y + 4*X + 3*Y^18 + 4*Y^16 + 5*Y^15 + 6*Y^14 + 6*Y^12 + 6*Y^11 + 5*Y^10 +
        Y^9 + 6*Y^8 + 5*Y^7 + 6*Y^6 + 4*Y^5 + Y^4 + 6*Y^3 + 3*Y^2 + Y + 6,
    -T^32 + 15/7*T^31 - 149/49*T^30 + 19/7*T^29 - T^28 - 13/7*T^27 + 211/49*T^26 - 
        250/49*T^25 + 172/49*T^24 - 31/49*T^23 - 12/7*T^22 + 131/49*T^21 - 
        75/49*T^20 - 22/49*T^19 + 93/49*T^18 - 78/49*T^17 + 78/49*T^15 - 93/49*T^14 
        + 22/49*T^13 + 75/49*T^12 - 131/49*T^11 + 12/7*T^10 + 31/49*T^9 - 172/49*T^8
        + 250/49*T^7 - 211/49*T^6 + 13/7*T^5 + T^4 - 19/7*T^3 + 149/49*T^2 - 15/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + X*Y^6 + 6*X*Y^5 + 6*X*Y^3 + X*Y^2 + 4*X*Y + 
        6*X + 3*Y^18 + 3*Y^17 + 3*Y^15 + 3*Y^13 + 3*Y^12 + 5*Y^11 + 3*Y^10 + 4*Y^9 +
        4*Y^8 + 5*Y^7 + 2*Y^6 + 3*Y^5 + 6*Y^3 + 5*Y^2 + 3*Y + 3,
    T^32 - 8/7*T^31 - 41/49*T^30 + 120/49*T^29 - 16/49*T^28 - 104/49*T^27 + 
        96/49*T^26 + 20/49*T^25 - 75/49*T^24 + 10/7*T^23 - 5/49*T^22 - 34/49*T^21 + 
        61/49*T^20 + 3/49*T^19 - 6/7*T^18 + 3/7*T^17 + 5/7*T^16 + 3/7*T^15 - 
        6/7*T^14 + 3/49*T^13 + 61/49*T^12 - 34/49*T^11 - 5/49*T^10 + 10/7*T^9 - 
        75/49*T^8 + 20/49*T^7 + 96/49*T^6 - 104/49*T^5 - 16/49*T^4 + 120/49*T^3 - 
        41/49*T^2 - 8/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^7 + X*Y^6 + 3*X*Y^5 + X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + 5*X + Y^18
        + 2*Y^17 + 4*Y^16 + 4*Y^15 + 5*Y^14 + Y^13 + Y^12 + 5*Y^11 + 6*Y^10 + Y^9 + 
        Y^8 + 6*Y^6 + 5*Y^5 + 2*Y^3 + Y^2 + Y,
    -T^32 + T^31 + 5/49*T^30 - 6/49*T^29 - 3/49*T^28 - 55/49*T^27 + 6/7*T^26 + 
        46/49*T^25 - 17/49*T^24 + 13/49*T^23 - 85/49*T^22 + 36/49*T^21 + 58/49*T^20 
        - 9/49*T^19 + 11/49*T^18 - 81/49*T^17 + 81/49*T^15 - 11/49*T^14 + 9/49*T^13 
        - 58/49*T^12 - 36/49*T^11 + 85/49*T^10 - 13/49*T^9 + 17/49*T^8 - 46/49*T^7 -
        6/7*T^6 + 55/49*T^5 + 3/49*T^4 + 6/49*T^3 - 5/49*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 
        2*X*Y^2 + 5*X + Y^18 + 6*Y^17 + 4*Y^16 + 5*Y^15 + 4*Y^14 + 3*Y^12 + Y^11 + 
        4*Y^10 + 2*Y^9 + 6*Y^8 + 4*Y^7 + Y^6 + 6*Y^4 + 4*Y^3 + 6*Y^2 + Y,
    T^32 + 2/7*T^31 - 57/49*T^30 - 11/49*T^29 - 6/49*T^28 + 22/49*T^27 + 43/49*T^26 
        - 20/49*T^25 - 8/49*T^24 - 22/49*T^23 - 30/49*T^22 + 12/49*T^21 + 5/49*T^20 
        + 8/7*T^19 + 15/49*T^18 - T^17 - 17/49*T^16 - T^15 + 15/49*T^14 + 8/7*T^13 +
        5/49*T^12 + 12/49*T^11 - 30/49*T^10 - 22/49*T^9 - 8/49*T^8 - 20/49*T^7 + 
        43/49*T^6 + 22/49*T^5 - 6/49*T^4 - 11/49*T^3 - 57/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 2*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + X*Y^2 + X*Y + 3*X + 6*Y^18
        + 5*Y^17 + 3*Y^16 + Y^14 + 2*Y^13 + 2*Y^12 + 6*Y^11 + 4*Y^10 + 4*Y^9 + 5*Y^8
        + 4*Y^7 + 6*Y^6 + 6*Y^5 + 3*Y^4 + Y + 6,
    -T^32 - 4/7*T^31 - 6/7*T^30 - 19/49*T^29 - 6/49*T^28 - 20/49*T^27 + 5/49*T^26 + 
        5/49*T^25 + 31/49*T^24 - 2/7*T^23 - 2/49*T^22 - 25/49*T^21 - 8/49*T^20 - 
        20/49*T^19 - 33/49*T^18 - 24/49*T^17 + 24/49*T^15 + 33/49*T^14 + 20/49*T^13 
        + 8/49*T^12 + 25/49*T^11 + 2/49*T^10 + 2/7*T^9 - 31/49*T^8 - 5/49*T^7 - 
        5/49*T^6 + 20/49*T^5 + 6/49*T^4 + 19/49*T^3 + 6/7*T^2 + 4/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + X*Y^3 + 5*X*Y + 
        X + 2*Y^18 + 6*Y^17 + Y^16 + 3*Y^15 + Y^14 + 4*Y^12 + Y^11 + 5*Y^10 + 3*Y^9 
        + 6*Y^8 + 4*Y^7 + 2*Y^6 + 4*Y^5 + 4*Y^4 + Y^3 + 3*Y + 4,
    -T^32 + 4/7*T^31 - 44/49*T^30 - 39/49*T^29 - 11/49*T^28 - 5/7*T^27 - 5/7*T^26 - 
        39/49*T^25 + 20/49*T^24 - 33/49*T^23 - 19/49*T^22 + 10/49*T^21 + 27/49*T^20 
        - 32/49*T^19 + 4/7*T^18 - 3/49*T^17 + 3/49*T^15 - 4/7*T^14 + 32/49*T^13 - 
        27/49*T^12 - 10/49*T^11 + 19/49*T^10 + 33/49*T^9 - 20/49*T^8 + 39/49*T^7 + 
        5/7*T^6 + 5/7*T^5 + 11/49*T^4 + 39/49*T^3 + 44/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 5*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + 2*X*Y + 6*X + 2*Y^18 + 
        6*Y^17 + 3*Y^14 + 5*Y^13 + Y^12 + 4*Y^11 + 6*Y^9 + 6*Y^8 + 4*Y^7 + 2*Y^6 + 
        5*Y^5 + 4*Y^4 + 3*Y^3 + 2*Y + 3,
    -T^32 - 5/7*T^31 + 32/49*T^30 + 48/49*T^29 - 25/49*T^28 - 53/49*T^27 + 
        34/49*T^26 + 48/49*T^25 - 27/49*T^24 - 54/49*T^23 + 10/49*T^22 + 27/49*T^21 
        - 11/49*T^20 - 22/49*T^19 + 8/49*T^18 + 6/49*T^17 - 6/49*T^15 - 8/49*T^14 + 
        22/49*T^13 + 11/49*T^12 - 27/49*T^11 - 10/49*T^10 + 54/49*T^9 + 27/49*T^8 - 
        48/49*T^7 - 34/49*T^6 + 53/49*T^5 + 25/49*T^4 - 48/49*T^3 - 32/49*T^2 + 
        5/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 4*X*Y^2 + 3*X*Y + 2*X + 
        Y^18 + 2*Y^17 + Y^16 + 3*Y^15 + 2*Y^14 + 3*Y^13 + 4*Y^12 + 5*Y^11 + 2*Y^10 +
        6*Y^9 + Y^8 + Y^6 + 4*Y^4 + 5*Y^2 + 5*Y + 6,
    -T^32 + 15/7*T^31 - 155/49*T^30 + 162/49*T^29 - 22/7*T^28 + 139/49*T^27 - 
        125/49*T^26 + 120/49*T^25 - 89/49*T^24 + 8/7*T^23 - 23/49*T^22 + 5/49*T^21 -
        15/49*T^20 + 4/7*T^19 - 39/49*T^18 + 3/7*T^17 - 3/7*T^15 + 39/49*T^14 - 
        4/7*T^13 + 15/49*T^12 - 5/49*T^11 + 23/49*T^10 - 8/7*T^9 + 89/49*T^8 - 
        120/49*T^7 + 125/49*T^6 - 139/49*T^5 + 22/7*T^4 - 162/49*T^3 + 155/49*T^2 - 
        15/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 
        5*X*Y^2 + 5*X + 3*Y^18 + 5*Y^17 + 6*Y^16 + 5*Y^15 + 2*Y^14 + Y^13 + 4*Y^12 +
        2*Y^10 + 3*Y^9 + 6*Y^8 + 3*Y^7 + 2*Y^6 + 4*Y^5 + 3*Y^3 + Y^2 + 5*Y + 6,
    T^32 - 11/7*T^31 + 64/49*T^30 - 40/49*T^29 + 23/49*T^28 - 9/49*T^27 + 31/49*T^26
        - 43/49*T^25 + 13/49*T^24 + 10/49*T^23 - 18/49*T^22 + 29/49*T^21 - 
        44/49*T^20 + 6/7*T^19 - 29/49*T^18 + 11/49*T^17 - 8/49*T^16 + 11/49*T^15 - 
        29/49*T^14 + 6/7*T^13 - 44/49*T^12 + 29/49*T^11 - 18/49*T^10 + 10/49*T^9 + 
        13/49*T^8 - 43/49*T^7 + 31/49*T^6 - 9/49*T^5 + 23/49*T^4 - 40/49*T^3 + 
        64/49*T^2 - 11/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 
        4*X*Y^2 + 3*Y^18 + Y^17 + 6*Y^16 + Y^15 + Y^14 + 2*Y^13 + 5*Y^12 + 3*Y^11 + 
        4*Y^10 + 5*Y^9 + 4*Y^8 + 2*Y^7 + 6*Y^6 + 5*Y^5 + 3*Y^4 + 5*Y^3 + 6*Y + 1,
    T^32 - 5/7*T^31 + 26/49*T^30 - 48/49*T^29 - 12/49*T^28 + 22/49*T^27 - 10/49*T^26
        + 52/49*T^25 - 4/7*T^24 + 1/7*T^23 - 40/49*T^22 + 1/7*T^21 - 6/49*T^20 + 
        8/49*T^19 + 22/49*T^18 - 16/49*T^17 + 8/49*T^16 - 16/49*T^15 + 22/49*T^14 + 
        8/49*T^13 - 6/49*T^12 + 1/7*T^11 - 40/49*T^10 + 1/7*T^9 - 4/7*T^8 + 
        52/49*T^7 - 10/49*T^6 + 22/49*T^5 - 12/49*T^4 - 48/49*T^3 + 26/49*T^2 - 
        5/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 6*X*Y + X 
        + 4*Y^18 + 3*Y^17 + 2*Y^16 + 3*Y^15 + Y^14 + 6*Y^13 + 6*Y^11 + 3*Y^10 + 
        4*Y^9 + 3*Y^8 + Y^7 + 5*Y^6 + 6*Y^5 + 6*Y^3 + 5*Y^2 + 2*Y + 1,
    -T^32 - 20/7*T^31 - 173/49*T^30 - 81/49*T^29 + 61/49*T^28 + 127/49*T^27 + 
        47/49*T^26 - 110/49*T^25 - 183/49*T^24 - 118/49*T^23 + 32/49*T^22 + 
        143/49*T^21 + 120/49*T^20 - 41/49*T^19 - 180/49*T^18 - 164/49*T^17 + 
        164/49*T^15 + 180/49*T^14 + 41/49*T^13 - 120/49*T^12 - 143/49*T^11 - 
        32/49*T^10 + 118/49*T^9 + 183/49*T^8 + 110/49*T^7 - 47/49*T^6 - 127/49*T^5 -
        61/49*T^4 + 81/49*T^3 + 173/49*T^2 + 20/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 5*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 3*X*Y^2 + X*Y 
        + 5*X + 6*Y^18 + 2*Y^16 + 2*Y^15 + 3*Y^14 + 5*Y^13 + Y^12 + 6*Y^10 + 4*Y^9 +
        Y^8 + Y^7 + 5*Y^6 + 3*Y^5 + 5*Y^4 + 6*Y^2 + 3*Y,
    T^32 + 3/7*T^31 - 27/49*T^30 - 39/49*T^29 - 1/7*T^28 - 8/49*T^27 - 5/7*T^26 - 
        25/49*T^25 + 17/49*T^24 + 50/49*T^23 + 18/49*T^22 - 9/49*T^21 - 10/49*T^20 +
        11/49*T^19 + 3/7*T^18 - 9/49*T^17 - 32/49*T^16 - 9/49*T^15 + 3/7*T^14 + 
        11/49*T^13 - 10/49*T^12 - 9/49*T^11 + 18/49*T^10 + 50/49*T^9 + 17/49*T^8 - 
        25/49*T^7 - 5/7*T^6 - 8/49*T^5 - 1/7*T^4 - 39/49*T^3 - 27/49*T^2 + 3/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + X*Y^7 + 4*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 2*X*Y^2 + 4*Y^18 +
        4*Y^17 + 3*Y^16 + 3*Y^15 + 5*Y^14 + 2*Y^12 + Y^11 + 2*Y^10 + 6*Y^9 + 2*Y^8 +
        3*Y^7 + 4*Y^6 + 4*Y^5 + 5*Y^4 + Y^3 + 5*Y^2 + 5*Y + 6,
    -T^32 - 10/7*T^31 - 44/49*T^30 + 3/49*T^29 + 27/49*T^28 + 22/49*T^27 + 
        22/49*T^26 + 36/49*T^25 + 65/49*T^24 + 65/49*T^23 + 43/49*T^22 + 10/49*T^21 
        - 9/49*T^20 + 2/49*T^19 + 1/49*T^18 - 1/49*T^17 + 1/49*T^15 - 1/49*T^14 - 
        2/49*T^13 + 9/49*T^12 - 10/49*T^11 - 43/49*T^10 - 65/49*T^9 - 65/49*T^8 - 
        36/49*T^7 - 22/49*T^6 - 22/49*T^5 - 27/49*T^4 - 3/49*T^3 + 44/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + X*Y^7 + 2*X*Y^6 + X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 5*X*Y + 5*X + 
        2*Y^18 + 6*Y^17 + 2*Y^16 + 4*Y^15 + Y^14 + 3*Y^13 + 4*Y^12 + 3*Y^11 + 4*Y^9 
        + 2*Y^8 + 5*Y^7 + Y^5 + 6*Y^4 + Y^3 + 3*Y^2 + 5*Y + 4,
    -T^32 + 5/7*T^31 + 20/49*T^30 + 4/49*T^29 - 24/49*T^28 + 33/49*T^27 - 4/49*T^26 
        - 44/49*T^25 - 11/49*T^24 + 5/7*T^23 + 3/7*T^22 - 12/49*T^21 - 12/49*T^20 + 
        22/49*T^19 - 20/49*T^18 - 44/49*T^17 + 44/49*T^15 + 20/49*T^14 - 22/49*T^13 
        + 12/49*T^12 + 12/49*T^11 - 3/7*T^10 - 5/7*T^9 + 11/49*T^8 + 44/49*T^7 + 
        4/49*T^6 - 33/49*T^5 + 24/49*T^4 - 4/49*T^3 - 20/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 6*X*Y^4 + 4*X*Y^3 + 6*X*Y + 6*X + 
        6*Y^18 + Y^17 + 4*Y^16 + 5*Y^15 + 2*Y^14 + 3*Y^13 + 3*Y^12 + 5*Y^11 + 2*Y^10
        + 3*Y^9 + 6*Y^8 + Y^7 + 3*Y^6 + 3*Y^5 + 6*Y^4 + Y^3 + 5*Y^2 + 4*Y + 3,
    -T^32 - 10/7*T^31 - 5/7*T^30 + 23/49*T^29 + T^28 + 3/7*T^27 - 1/7*T^26 - 
        20/49*T^25 - 12/49*T^24 - 3/7*T^23 - 24/49*T^22 - 1/7*T^21 + 19/49*T^20 + 
        27/49*T^19 + 1/7*T^18 - 9/49*T^17 + 9/49*T^15 - 1/7*T^14 - 27/49*T^13 - 
        19/49*T^12 + 1/7*T^11 + 24/49*T^10 + 3/7*T^9 + 12/49*T^8 + 20/49*T^7 + 
        1/7*T^6 - 3/7*T^5 - T^4 - 23/49*T^3 + 5/7*T^2 + 10/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 4*X*Y^3 + 6*X*Y^2 + X*Y 
        + 3*X + Y^18 + 6*Y^16 + Y^15 + Y^14 + 6*Y^13 + 2*Y^12 + 2*Y^11 + 4*Y^9 + 
        2*Y^8 + Y^6 + 2*Y^4 + 4*Y^3 + 6*Y^2 + 4*Y + 2,
    -T^32 + 9/7*T^31 + 45/49*T^30 - 41/49*T^29 - 48/49*T^28 - 8/49*T^27 + 10/49*T^26
        + 73/49*T^25 - 33/49*T^24 - 38/49*T^23 + 29/49*T^22 + 36/49*T^21 - 
        47/49*T^20 - 33/49*T^19 + 5/7*T^18 + 26/49*T^17 - 26/49*T^15 - 5/7*T^14 + 
        33/49*T^13 + 47/49*T^12 - 36/49*T^11 - 29/49*T^10 + 38/49*T^9 + 33/49*T^8 - 
        73/49*T^7 - 10/49*T^6 + 8/49*T^5 + 48/49*T^4 + 41/49*T^3 - 45/49*T^2 - 9/7*T
        + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 4*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 6*X*Y + X + 5*Y^18 + 
        2*Y^17 + 5*Y^16 + Y^15 + 3*Y^14 + 4*Y^13 + 3*Y^12 + 4*Y^11 + 2*Y^10 + Y^8 + 
        6*Y^7 + Y^6 + 2*Y^4 + 2*Y^2 + 5*Y + 3,
    -T^32 - 2/7*T^31 + 1/49*T^30 + 65/49*T^29 + 31/49*T^28 - 36/49*T^27 - 68/49*T^26
        - 45/49*T^25 + 47/49*T^24 + 15/7*T^23 + 30/49*T^22 - 90/49*T^21 - 
        120/49*T^20 - 33/49*T^19 + 18/7*T^18 + 16/7*T^17 - 16/7*T^15 - 18/7*T^14 + 
        33/49*T^13 + 120/49*T^12 + 90/49*T^11 - 30/49*T^10 - 15/7*T^9 - 47/49*T^8 + 
        45/49*T^7 + 68/49*T^6 + 36/49*T^5 - 31/49*T^4 - 65/49*T^3 - 1/49*T^2 + 2/7*T
        + 1
*], [*
    X^3 + 4*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + X*Y^2 + X + 
        4*Y^18 + 3*Y^17 + 3*Y^15 + 6*Y^14 + 3*Y^13 + 3*Y^12 + 4*Y^11 + Y^9 + 6*Y^8 +
        6*Y^7 + 3*Y^6 + Y^5 + 3*Y^4 + 4*Y^3 + 2*Y^2 + 6*Y + 6,
    -T^32 - 3/7*T^31 + 2/49*T^30 + 5/49*T^29 - 19/49*T^28 - 29/49*T^27 - 41/49*T^26 
        - 6/49*T^25 + 22/49*T^24 - 3/49*T^23 - 4/7*T^22 - 18/49*T^21 - 36/49*T^20 - 
        5/49*T^19 + 9/49*T^18 - 9/49*T^14 + 5/49*T^13 + 36/49*T^12 + 18/49*T^11 + 
        4/7*T^10 + 3/49*T^9 - 22/49*T^8 + 6/49*T^7 + 41/49*T^6 + 29/49*T^5 + 
        19/49*T^4 - 5/49*T^3 - 2/49*T^2 + 3/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + X*Y^4 + X*Y^3 + 6*X*Y^2 + 
        4*X*Y + 3*X + 6*Y^18 + Y^17 + 3*Y^16 + 2*Y^15 + 2*Y^14 + 6*Y^13 + 4*Y^12 + 
        Y^11 + 4*Y^9 + Y^8 + 3*Y^6 + Y^5 + 6*Y^4 + 2*Y^3 + 4*Y^2 + 4*Y + 2,
    T^32 + T^31 - 30/49*T^30 - 53/49*T^29 - 1/49*T^28 + T^27 + 29/49*T^26 - 3/7*T^25
        - 44/49*T^24 - 18/49*T^23 + 6/7*T^22 + 45/49*T^21 - 4/49*T^20 - 38/49*T^19 -
        4/7*T^18 + 3/49*T^17 + 6/49*T^16 + 3/49*T^15 - 4/7*T^14 - 38/49*T^13 - 
        4/49*T^12 + 45/49*T^11 + 6/7*T^10 - 18/49*T^9 - 44/49*T^8 - 3/7*T^7 + 
        29/49*T^6 + T^5 - 1/49*T^4 - 53/49*T^3 - 30/49*T^2 + T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^7 + 2*X*Y^6 + 6*X*Y^4 + X*Y^2 + 5*X*Y + 2*X + 3*Y^18 + Y^17 
        + 2*Y^15 + 2*Y^14 + Y^13 + 3*Y^12 + 2*Y^11 + 6*Y^10 + 2*Y^9 + Y^8 + 2*Y^6 + 
        4*Y^5 + 2*Y^4 + 2*Y^3 + Y^2 + 3*Y + 6,
    T^32 - 8/7*T^31 + 18/49*T^30 - 18/49*T^29 + 13/49*T^28 + 44/49*T^27 - 30/49*T^26
        - 1/49*T^25 - 12/49*T^24 + 20/49*T^23 - 11/49*T^22 + 12/49*T^21 - 5/7*T^20 +
        45/49*T^19 + 13/49*T^18 - 34/49*T^17 + 15/49*T^16 - 34/49*T^15 + 13/49*T^14 
        + 45/49*T^13 - 5/7*T^12 + 12/49*T^11 - 11/49*T^10 + 20/49*T^9 - 12/49*T^8 - 
        1/49*T^7 - 30/49*T^6 + 44/49*T^5 + 13/49*T^4 - 18/49*T^3 + 18/49*T^2 - 8/7*T
        + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 6*X*Y^2 + 2*X*Y + 6*X + 3*Y^18 + 
        Y^17 + 4*Y^16 + Y^15 + 5*Y^14 + 2*Y^13 + 4*Y^12 + 5*Y^11 + 5*Y^10 + 4*Y^9 + 
        4*Y^8 + 3*Y^7 + 3*Y^6 + 2*Y^5 + 5*Y^4 + 6*Y^3 + 3*Y^2 + 2*Y + 6,
    -T^32 + T^31 + 40/49*T^30 - 50/49*T^29 - 4/49*T^28 + 31/49*T^27 - 16/49*T^26 + 
        9/49*T^25 - 17/49*T^24 - 10/49*T^23 + 20/49*T^22 - 10/49*T^21 + 27/49*T^20 -
        6/49*T^19 - 54/49*T^18 + 65/49*T^17 - 65/49*T^15 + 54/49*T^14 + 6/49*T^13 - 
        27/49*T^12 + 10/49*T^11 - 20/49*T^10 + 10/49*T^9 + 17/49*T^8 - 9/49*T^7 + 
        16/49*T^6 - 31/49*T^5 + 4/49*T^4 + 50/49*T^3 - 40/49*T^2 - T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + X*Y^5 + X*Y^4 + 4*X*Y^3 + 6*X*Y^2 
        + 2*X*Y + 5*X + 3*Y^18 + Y^17 + 3*Y^16 + Y^15 + 2*Y^14 + 4*Y^13 + 5*Y^12 + 
        5*Y^11 + Y^10 + Y^8 + 6*Y^6 + Y^4 + 4*Y^3 + 3*Y^2 + Y + 4,
    -T^32 - 2/7*T^31 + 59/49*T^30 + 22/49*T^29 - 13/49*T^28 + 6/49*T^27 - 19/49*T^26
        - 5/7*T^25 - 3/7*T^24 + 13/49*T^23 + 50/49*T^22 + 31/49*T^21 - 12/49*T^20 - 
        12/49*T^19 - 41/49*T^18 - 59/49*T^17 + 59/49*T^15 + 41/49*T^14 + 12/49*T^13 
        + 12/49*T^12 - 31/49*T^11 - 50/49*T^10 - 13/49*T^9 + 3/7*T^8 + 5/7*T^7 + 
        19/49*T^6 - 6/49*T^5 + 13/49*T^4 - 22/49*T^3 - 59/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 4*X*Y^2 + X*Y 
        + 2*X + Y^18 + 4*Y^17 + 3*Y^16 + 2*Y^15 + 3*Y^14 + 2*Y^13 + 2*Y^12 + 5*Y^11 
        + 6*Y^10 + Y^8 + Y^7 + Y^6 + 6*Y^5 + Y^2 + 3,
    T^32 - 2/7*T^31 - 27/49*T^30 + 8/49*T^29 - 4/49*T^28 - 3/49*T^27 + 22/49*T^26 - 
        17/49*T^25 + 9/49*T^24 + 10/49*T^23 - 39/49*T^22 + 27/49*T^21 + 2/7*T^20 - 
        25/49*T^19 - 1/7*T^18 + 2/7*T^17 - 18/49*T^16 + 2/7*T^15 - 1/7*T^14 - 
        25/49*T^13 + 2/7*T^12 + 27/49*T^11 - 39/49*T^10 + 10/49*T^9 + 9/49*T^8 - 
        17/49*T^7 + 22/49*T^6 - 3/49*T^5 - 4/49*T^4 + 8/49*T^3 - 27/49*T^2 - 2/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 3*X*Y^6 + 3*X*Y^5 + X*Y^2 + X*Y + 2*X + 6*Y^18 + Y^17 
        + 2*Y^16 + 6*Y^15 + Y^13 + 4*Y^12 + 4*Y^11 + 5*Y^10 + Y^9 + 6*Y^7 + 2*Y^6 + 
        4*Y^5 + 5*Y^4 + 3*Y^3 + 3,
    T^32 + 10/7*T^31 + 22/49*T^30 + 6/49*T^29 + 16/49*T^28 - 3/7*T^27 - 54/49*T^26 -
        53/49*T^25 - 24/49*T^24 + 24/49*T^23 + 37/49*T^22 + 26/49*T^21 + 43/49*T^20 
        + 37/49*T^19 - 3/7*T^18 - T^17 - 47/49*T^16 - T^15 - 3/7*T^14 + 37/49*T^13 +
        43/49*T^12 + 26/49*T^11 + 37/49*T^10 + 24/49*T^9 - 24/49*T^8 - 53/49*T^7 - 
        54/49*T^6 - 3/7*T^5 + 16/49*T^4 + 6/49*T^3 + 22/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 5*X*Y^6 + 3*X*Y^5 + 4*X*Y + 4*Y^18 + 6*Y^17 + 3*Y^15 +
        3*Y^14 + 2*Y^13 + 3*Y^12 + Y^11 + 3*Y^10 + Y^9 + 4*Y^8 + 3*Y^7 + 3*Y^6 + Y^5
        + 2*Y^4 + 4*Y + 4,
    T^32 + 17/7*T^31 + 3*T^30 + 96/49*T^29 - 23/49*T^28 - 114/49*T^27 - 145/49*T^26 
        - 111/49*T^25 - 11/7*T^24 - 101/49*T^23 - 138/49*T^22 - 114/49*T^21 - 
        11/49*T^20 + 96/49*T^19 + 20/7*T^18 + 129/49*T^17 + 117/49*T^16 + 
        129/49*T^15 + 20/7*T^14 + 96/49*T^13 - 11/49*T^12 - 114/49*T^11 - 
        138/49*T^10 - 101/49*T^9 - 11/7*T^8 - 111/49*T^7 - 145/49*T^6 - 114/49*T^5 -
        23/49*T^4 + 96/49*T^3 + 3*T^2 + 17/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + X*Y^3 + 6*X*Y^2 + 5*X*Y 
        + 3*X + 4*Y^18 + 5*Y^17 + 2*Y^16 + 6*Y^15 + 2*Y^14 + 4*Y^13 + 4*Y^12 + 
        4*Y^11 + 2*Y^10 + 4*Y^9 + Y^7 + 5*Y^6 + 3*Y^5 + 6*Y^2 + 6*Y + 1,
    -T^32 - 8/7*T^31 - 37/49*T^30 + 2/7*T^29 + 10/49*T^28 + 6/49*T^27 - 5/7*T^26 - 
        30/49*T^25 - 6/7*T^24 - 24/49*T^23 - 11/49*T^22 + 6/49*T^21 - 1/7*T^20 - 
        20/49*T^19 - 33/49*T^18 - 26/49*T^17 + 26/49*T^15 + 33/49*T^14 + 20/49*T^13 
        + 1/7*T^12 - 6/49*T^11 + 11/49*T^10 + 24/49*T^9 + 6/7*T^8 + 30/49*T^7 + 
        5/7*T^6 - 6/49*T^5 - 10/49*T^4 - 2/7*T^3 + 37/49*T^2 + 8/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        6*X*Y + 6*X + 6*Y^18 + 3*Y^16 + 6*Y^15 + 6*Y^14 + 5*Y^13 + 3*Y^12 + Y^10 + 
        3*Y^9 + 6*Y^8 + 2*Y^7 + 5*Y^6 + 2*Y^5 + 5*Y^3 + 2*Y^2 + 4*Y + 4,
    T^32 + 4/7*T^31 - 18/49*T^30 - 19/49*T^29 - 65/49*T^28 - 41/49*T^27 + 24/49*T^26
        - 9/49*T^25 + 25/49*T^24 + 41/49*T^23 + 2/49*T^22 + 27/49*T^21 - 1/49*T^20 -
        29/49*T^19 - 8/49*T^18 - 2/49*T^17 - 8/49*T^16 - 2/49*T^15 - 8/49*T^14 - 
        29/49*T^13 - 1/49*T^12 + 27/49*T^11 + 2/49*T^10 + 41/49*T^9 + 25/49*T^8 - 
        9/49*T^7 + 24/49*T^6 - 41/49*T^5 - 65/49*T^4 - 19/49*T^3 - 18/49*T^2 + 4/7*T
        + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + X*Y^5 + 6*X*Y^4 + X*Y^3 + 2*X*Y^2 
        + 3*X*Y + 3*X + 4*Y^18 + 4*Y^17 + 6*Y^16 + Y^15 + 3*Y^14 + 4*Y^13 + 3*Y^12 +
        5*Y^11 + 5*Y^10 + 4*Y^9 + 3*Y^6 + Y^5 + Y^4 + 4*Y^3 + Y^2 + 6,
    -T^32 + 4/7*T^31 + 11/49*T^30 + 4/7*T^29 - 19/49*T^28 - 1/7*T^27 + 34/49*T^26 + 
        6/49*T^25 - 8/49*T^24 - 44/49*T^23 + 4/49*T^22 + 27/49*T^21 - 17/49*T^20 - 
        13/49*T^19 - 17/49*T^18 + 43/49*T^17 - 43/49*T^15 + 17/49*T^14 + 13/49*T^13 
        + 17/49*T^12 - 27/49*T^11 - 4/49*T^10 + 44/49*T^9 + 8/49*T^8 - 6/49*T^7 - 
        34/49*T^6 + 1/7*T^5 + 19/49*T^4 - 4/7*T^3 - 11/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 4*X*Y^4 + 4*X*Y^3 + 6*X*Y + 2*X + 
        6*Y^18 + 5*Y^16 + 2*Y^15 + 3*Y^14 + 5*Y^12 + 4*Y^11 + Y^10 + 2*Y^9 + Y^8 + 
        3*Y^7 + Y^6 + 3*Y^5 + 5*Y^4 + 6*Y,
    -T^32 - 10/7*T^31 - 66/49*T^30 - 19/49*T^29 + 37/49*T^28 + 48/49*T^27 + 
        45/49*T^26 + 15/49*T^25 + 3/49*T^24 + 8/49*T^23 + 2/49*T^22 - 2/49*T^21 + 
        3/7*T^20 + 52/49*T^19 + 95/49*T^18 + 60/49*T^17 - 60/49*T^15 - 95/49*T^14 - 
        52/49*T^13 - 3/7*T^12 + 2/49*T^11 - 2/49*T^10 - 8/49*T^9 - 3/49*T^8 - 
        15/49*T^7 - 45/49*T^6 - 48/49*T^5 - 37/49*T^4 + 19/49*T^3 + 66/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + X*Y^4 + 4*X*Y^3 + 4*X*Y^2 + 5*X*Y 
        + 5*X + Y^18 + Y^17 + Y^16 + 3*Y^15 + Y^14 + 3*Y^13 + 3*Y^12 + 4*Y^10 + 
        2*Y^7 + 5*Y^6 + 2*Y^4 + 6*Y^3 + 2*Y^2 + 4*Y + 6,
    T^32 - 3/7*T^31 + 23/49*T^30 - 27/49*T^29 + 53/49*T^28 - 17/49*T^27 + 20/49*T^26
        - 30/49*T^25 + 44/49*T^24 - 20/49*T^23 - 6/49*T^22 - 5/49*T^21 - 2/49*T^20 +
        27/49*T^19 - 34/49*T^18 + 29/49*T^17 - 22/49*T^16 + 29/49*T^15 - 34/49*T^14 
        + 27/49*T^13 - 2/49*T^12 - 5/49*T^11 - 6/49*T^10 - 20/49*T^9 + 44/49*T^8 - 
        30/49*T^7 + 20/49*T^6 - 17/49*T^5 + 53/49*T^4 - 27/49*T^3 + 23/49*T^2 - 
        3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + 5*X*Y^3 + 6*X*Y^2 
        + 3*X + 6*Y^18 + 3*Y^17 + 2*Y^16 + Y^15 + 6*Y^14 + 3*Y^13 + 3*Y^12 + Y^11 + 
        2*Y^10 + 5*Y^9 + 3*Y^8 + 2*Y^7 + 5*Y^6 + 6*Y^5 + 6*Y^4 + 2*Y^3 + 3*Y^2 + 5*Y
        + 1,
    T^32 - 10/7*T^31 + 22/49*T^30 - 27/49*T^29 + 37/49*T^28 - 9/7*T^27 + 94/49*T^26 
        - 61/49*T^25 + 59/49*T^24 - 72/49*T^23 + 97/49*T^22 - 125/49*T^21 + 
        95/49*T^20 - 76/49*T^19 + 99/49*T^18 - 106/49*T^17 + 97/49*T^16 - 
        106/49*T^15 + 99/49*T^14 - 76/49*T^13 + 95/49*T^12 - 125/49*T^11 + 
        97/49*T^10 - 72/49*T^9 + 59/49*T^8 - 61/49*T^7 + 94/49*T^6 - 9/7*T^5 + 
        37/49*T^4 - 27/49*T^3 + 22/49*T^2 - 10/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + X*Y^4 + 4*X*Y^3 + 6*X*Y 
        + 5*X + 3*Y^18 + Y^17 + 6*Y^16 + Y^15 + 2*Y^14 + Y^13 + 2*Y^12 + Y^11 + 
        6*Y^10 + 6*Y^9 + 3*Y^8 + 4*Y^7 + 6*Y^6 + 5*Y^5 + 5*Y^4 + 4*Y^3 + 3*Y^2 + 5*Y
        + 6,
    -T^32 + 10/7*T^31 - 8/7*T^30 + 44/49*T^29 - 10/49*T^28 - 11/49*T^27 + 12/49*T^26
        + 2/49*T^25 - 1/7*T^24 - 9/49*T^23 + 29/49*T^22 - 19/49*T^21 + 3/7*T^19 - 
        40/49*T^18 + 6/7*T^17 - 6/7*T^15 + 40/49*T^14 - 3/7*T^13 + 19/49*T^11 - 
        29/49*T^10 + 9/49*T^9 + 1/7*T^8 - 2/49*T^7 - 12/49*T^6 + 11/49*T^5 + 
        10/49*T^4 - 44/49*T^3 + 8/7*T^2 - 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 4*X*Y^2 + 3*X*Y 
        + 2*X + Y^18 + 4*Y^17 + 6*Y^16 + 5*Y^13 + 3*Y^12 + 4*Y^11 + 6*Y^10 + 2*Y^9 +
        6*Y^8 + 2*Y^7 + 2*Y^6 + 5*Y^5 + 3*Y^4 + 4*Y^3 + 4*Y^2 + 4,
    T^32 - 15/7*T^31 + 53/49*T^30 + 44/49*T^29 - 59/49*T^28 + 25/49*T^27 - 1/7*T^26 
        - 4/49*T^25 - 46/49*T^24 + 128/49*T^23 - 93/49*T^22 - 24/49*T^21 + 
        46/49*T^20 - 4/7*T^19 + 62/49*T^18 - 38/49*T^17 - 5/49*T^16 - 38/49*T^15 + 
        62/49*T^14 - 4/7*T^13 + 46/49*T^12 - 24/49*T^11 - 93/49*T^10 + 128/49*T^9 - 
        46/49*T^8 - 4/49*T^7 - 1/7*T^6 + 25/49*T^5 - 59/49*T^4 + 44/49*T^3 + 
        53/49*T^2 - 15/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + X*Y^3 + 3*X*Y + 
        3*X + 3*Y^18 + 4*Y^17 + 5*Y^16 + 6*Y^15 + 3*Y^13 + 4*Y^12 + 3*Y^11 + 6*Y^10 
        + 2*Y^9 + 2*Y^8 + 6*Y^7 + 3*Y^6 + Y^4 + 2*Y + 4,
    -T^32 + T^31 - 3/49*T^30 + 48/49*T^29 - 26/49*T^28 - 37/49*T^27 - 11/49*T^26 + 
        4/49*T^25 + 57/49*T^24 - 1/7*T^23 - 1/7*T^22 - T^21 + 3/7*T^20 - 20/49*T^19 
        + 44/49*T^18 + 5/49*T^17 - 5/49*T^15 - 44/49*T^14 + 20/49*T^13 - 3/7*T^12 + 
        T^11 + 1/7*T^10 + 1/7*T^9 - 57/49*T^8 - 4/49*T^7 + 11/49*T^6 + 37/49*T^5 + 
        26/49*T^4 - 48/49*T^3 + 3/49*T^2 - T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 5*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 5*X*Y 
        + 3*X + 3*Y^18 + 2*Y^17 + 6*Y^15 + Y^13 + 2*Y^10 + 5*Y^9 + 2*Y^8 + 2*Y^7 + 
        6*Y^6 + 2*Y^5 + Y^4 + 3*Y^3 + 2*Y^2 + 4,
    T^32 - 18/7*T^31 + 171/49*T^30 - 155/49*T^29 + 73/49*T^28 + 62/49*T^27 - 
        172/49*T^26 + 184/49*T^25 - 97/49*T^24 - 33/49*T^23 + 130/49*T^22 - 
        145/49*T^21 + 12/7*T^20 + 11/49*T^19 - 13/7*T^18 + 132/49*T^17 - 145/49*T^16
        + 132/49*T^15 - 13/7*T^14 + 11/49*T^13 + 12/7*T^12 - 145/49*T^11 + 
        130/49*T^10 - 33/49*T^9 - 97/49*T^8 + 184/49*T^7 - 172/49*T^6 + 62/49*T^5 + 
        73/49*T^4 - 155/49*T^3 + 171/49*T^2 - 18/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 
        4*X*Y^2 + 4*X*Y + 3*X + 2*Y^18 + 5*Y^17 + Y^16 + Y^15 + 4*Y^14 + 2*Y^13 + 
        4*Y^12 + Y^11 + 4*Y^10 + Y^8 + 3*Y^7 + 5*Y^6 + Y^5 + 6*Y^3 + 2*Y^2 + Y + 5,
    T^32 + 8/7*T^31 + 29/49*T^30 + 24/49*T^29 - 1/7*T^28 - 36/49*T^27 - 61/49*T^26 -
        9/7*T^25 - 3/7*T^24 + 16/49*T^23 + 45/49*T^22 + 67/49*T^21 + 74/49*T^20 + 
        29/49*T^19 - 23/49*T^18 - 57/49*T^17 - 73/49*T^16 - 57/49*T^15 - 23/49*T^14 
        + 29/49*T^13 + 74/49*T^12 + 67/49*T^11 + 45/49*T^10 + 16/49*T^9 - 3/7*T^8 - 
        9/7*T^7 - 61/49*T^6 - 36/49*T^5 - 1/7*T^4 + 24/49*T^3 + 29/49*T^2 + 8/7*T + 
        1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + X*Y^4 + 5*X*Y^3 + 
        6*X*Y^2 + 3*X*Y + 4*X + 5*Y^18 + 5*Y^15 + 6*Y^14 + Y^13 + 5*Y^11 + 5*Y^10 + 
        2*Y^9 + 3*Y^8 + Y^7 + 3*Y^6 + 5*Y^5 + 6*Y^4 + 6*Y^3 + 4*Y^2 + 4*Y + 1,
    -T^32 - 5/7*T^31 + 31/49*T^30 + 24/49*T^29 - 4/49*T^28 - 6/49*T^27 + 2/7*T^26 + 
        24/49*T^25 - 1/7*T^24 - 37/49*T^23 + 1/7*T^22 + 34/49*T^21 - 4/49*T^20 - 
        26/49*T^19 - 8/49*T^18 + 8/49*T^17 - 8/49*T^15 + 8/49*T^14 + 26/49*T^13 + 
        4/49*T^12 - 34/49*T^11 - 1/7*T^10 + 37/49*T^9 + 1/7*T^8 - 24/49*T^7 - 
        2/7*T^6 + 6/49*T^5 + 4/49*T^4 - 24/49*T^3 - 31/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 2*X*Y^3 + 3*X*Y^2 + 2*X*Y 
        + 6*X + 6*Y^18 + 4*Y^17 + 3*Y^16 + 4*Y^15 + 5*Y^12 + 6*Y^11 + 2*Y^10 + 4*Y^9
        + 3*Y^8 + 3*Y^7 + 6*Y^6 + 3*Y^4 + 3*Y^3 + 4*Y^2 + 6*Y + 2,
    -T^32 + 5/7*T^31 + 10/49*T^30 - 2/7*T^29 + 44/49*T^28 - 16/49*T^27 - 4/7*T^26 + 
        22/49*T^25 + 1/7*T^24 - 52/49*T^23 + 48/49*T^22 - 24/49*T^21 - 23/49*T^20 + 
        25/49*T^19 + 17/49*T^18 + 3/49*T^17 - 3/49*T^15 - 17/49*T^14 - 25/49*T^13 + 
        23/49*T^12 + 24/49*T^11 - 48/49*T^10 + 52/49*T^9 - 1/7*T^8 - 22/49*T^7 + 
        4/7*T^6 + 16/49*T^5 - 44/49*T^4 + 2/7*T^3 - 10/49*T^2 - 5/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 
        3*X*Y^2 + 5*X*Y + 4*X + 3*Y^18 + 3*Y^17 + 6*Y^16 + 6*Y^15 + 2*Y^14 + 6*Y^12 
        + 5*Y^11 + 5*Y^10 + 5*Y^9 + 4*Y^8 + 5*Y^7 + 4*Y^6 + 5*Y^5 + 4*Y^4 + 5*Y^3 + 
        6*Y + 1,
    -T^32 + 2/7*T^31 + 36/49*T^30 + 1/7*T^29 - 8/49*T^28 + 9/49*T^27 + 4/49*T^26 - 
        27/49*T^25 - 24/49*T^24 + 44/49*T^23 - 15/49*T^22 - 27/49*T^21 + 2/49*T^20 +
        31/49*T^19 + 25/49*T^18 - 3/49*T^17 + 3/49*T^15 - 25/49*T^14 - 31/49*T^13 - 
        2/49*T^12 + 27/49*T^11 + 15/49*T^10 - 44/49*T^9 + 24/49*T^8 + 27/49*T^7 - 
        4/49*T^6 - 9/49*T^5 + 8/49*T^4 - 1/7*T^3 - 36/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + X*Y^6 + 6*X*Y^4 + 2*X*Y^3 + X*Y^2 + 2*X*Y + 
        4*X + 3*Y^18 + 2*Y^17 + Y^16 + 6*Y^15 + 6*Y^14 + 4*Y^13 + 6*Y^11 + 3*Y^10 + 
        6*Y^9 + 6*Y^8 + 3*Y^7 + 2*Y^6 + 4*Y^4 + 6*Y^2 + 5*Y,
    -T^32 + 13/7*T^31 - 11/7*T^30 + 6/7*T^29 - 25/49*T^28 + 26/49*T^27 - 26/49*T^26 
        + 32/49*T^25 - 20/49*T^24 - 3/49*T^23 + 19/49*T^22 - 4/49*T^21 - 9/49*T^20 -
        11/49*T^19 + 39/49*T^18 - 5/7*T^17 + 5/7*T^15 - 39/49*T^14 + 11/49*T^13 + 
        9/49*T^12 + 4/49*T^11 - 19/49*T^10 + 3/49*T^9 + 20/49*T^8 - 32/49*T^7 + 
        26/49*T^6 - 26/49*T^5 + 25/49*T^4 - 6/7*T^3 + 11/7*T^2 - 13/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 3*X*Y^3 + 5*X*Y^2 + 4*X*Y 
        + 5*X + 5*Y^18 + 3*Y^17 + 3*Y^16 + 2*Y^15 + 6*Y^12 + 5*Y^11 + 6*Y^10 + 6*Y^9
        + Y^8 + 4*Y^7 + 6*Y^6 + 2*Y^5 + Y^4 + 6*Y^3 + 6*Y^2 + 6*Y + 5,
    -T^32 - 13/7*T^31 - 65/49*T^30 - 3/7*T^29 - 29/49*T^28 - 9/7*T^27 - 89/49*T^26 -
        9/7*T^25 - 31/49*T^24 - 25/49*T^23 - 53/49*T^22 - 10/7*T^21 - 38/49*T^20 - 
        3/49*T^19 - 15/49*T^18 - 19/49*T^17 + 19/49*T^15 + 15/49*T^14 + 3/49*T^13 + 
        38/49*T^12 + 10/7*T^11 + 53/49*T^10 + 25/49*T^9 + 31/49*T^8 + 9/7*T^7 + 
        89/49*T^6 + 9/7*T^5 + 29/49*T^4 + 3/7*T^3 + 65/49*T^2 + 13/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^7 + 5*X*Y^5 + X*Y^4 + 3*X*Y^3 + X*Y + X + Y^18 + 4*Y^17 + 
        5*Y^16 + 3*Y^15 + Y^14 + 6*Y^13 + 5*Y^12 + 4*Y^11 + 5*Y^10 + Y^9 + 6*Y^8 + 
        Y^7 + Y^6 + Y^5 + 3*Y^4 + 3*Y^3 + 2*Y^2 + 6*Y + 4,
    -T^32 + 11/7*T^31 - 19/49*T^30 - 53/49*T^29 + 64/49*T^28 - 30/49*T^27 + 
        23/49*T^26 - 18/49*T^25 - 32/49*T^24 + 65/49*T^23 - 4/7*T^22 - 22/49*T^21 + 
        40/49*T^20 - 47/49*T^19 + 34/49*T^18 - 3/7*T^17 + 3/7*T^15 - 34/49*T^14 + 
        47/49*T^13 - 40/49*T^12 + 22/49*T^11 + 4/7*T^10 - 65/49*T^9 + 32/49*T^8 + 
        18/49*T^7 - 23/49*T^6 + 30/49*T^5 - 64/49*T^4 + 53/49*T^3 + 19/49*T^2 - 
        11/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 4*X*Y^7 + X*Y^6 + 6*X*Y^5 + X*Y^4 + X*Y^3 + X*Y^2 + 2*X*Y + 
        5*Y^18 + 6*Y^17 + 3*Y^16 + Y^15 + Y^14 + Y^13 + 6*Y^12 + 3*Y^11 + 6*Y^10 + 
        5*Y^9 + 4*Y^7 + 4*Y^6 + 5*Y^4 + 3*Y^3 + 2*Y + 5,
    T^32 + 5/7*T^31 - 1/49*T^30 - 10/49*T^29 + 4/7*T^28 + 18/49*T^27 - 9/49*T^25 - 
        4/49*T^24 - 2/49*T^22 - 16/49*T^21 - 38/49*T^20 - 5/7*T^19 + 15/49*T^18 - 
        1/7*T^17 - 3/7*T^16 - 1/7*T^15 + 15/49*T^14 - 5/7*T^13 - 38/49*T^12 - 
        16/49*T^11 - 2/49*T^10 - 4/49*T^8 - 9/49*T^7 + 18/49*T^5 + 4/7*T^4 - 
        10/49*T^3 - 1/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 5*X*Y^3 + 6*X*Y^2 + 4*X + 2*Y^18 +
        3*Y^17 + 3*Y^16 + 5*Y^15 + 2*Y^14 + 4*Y^13 + 5*Y^12 + 5*Y^11 + 3*Y^10 + 
        4*Y^9 + Y^8 + 5*Y^7 + 5*Y^6 + 3*Y^5 + Y^4 + 4*Y^3 + 2*Y^2 + 3*Y,
    -T^32 + 9/7*T^31 + 16/49*T^30 - 24/49*T^29 + 6/49*T^28 - 37/49*T^27 + 45/49*T^26
        - 27/49*T^25 - 1/49*T^24 - 26/49*T^23 + 3/7*T^22 + 71/49*T^21 - 10/7*T^20 - 
        4/49*T^19 - 12/49*T^18 + 58/49*T^17 - 58/49*T^15 + 12/49*T^14 + 4/49*T^13 + 
        10/7*T^12 - 71/49*T^11 - 3/7*T^10 + 26/49*T^9 + 1/49*T^8 + 27/49*T^7 - 
        45/49*T^6 + 37/49*T^5 - 6/49*T^4 + 24/49*T^3 - 16/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 6*X*Y^6 + X*Y^5 + X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + 4*X*Y + 
        4*Y^18 + Y^17 + 5*Y^15 + Y^13 + Y^12 + Y^11 + 2*Y^10 + 3*Y^9 + 5*Y^8 + 4*Y^7
        + 2*Y^6 + 6*Y^5 + 5*Y^4 + 6*Y^3 + 2*Y^2 + Y + 5,
    T^32 + 12/7*T^31 + 62/49*T^30 + T^29 - 3/49*T^28 - 78/49*T^27 - 18/7*T^26 - 
        137/49*T^25 - 65/49*T^24 + 24/49*T^23 + 12/7*T^22 + 19/7*T^21 + 121/49*T^20 
        + 43/49*T^19 - 45/49*T^18 - 118/49*T^17 - 22/7*T^16 - 118/49*T^15 - 
        45/49*T^14 + 43/49*T^13 + 121/49*T^12 + 19/7*T^11 + 12/7*T^10 + 24/49*T^9 - 
        65/49*T^8 - 137/49*T^7 - 18/7*T^6 - 78/49*T^5 - 3/49*T^4 + T^3 + 62/49*T^2 +
        12/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + 5*X*Y + 
        3*X + 4*Y^18 + Y^17 + 6*Y^16 + 6*Y^15 + Y^14 + 6*Y^13 + 4*Y^12 + 4*Y^11 + 
        2*Y^10 + 2*Y^9 + Y^7 + Y^6 + 3*Y^5 + 4*Y^3 + 3*Y^2 + Y + 3,
    -T^32 - 13/7*T^31 - T^30 + 5/7*T^29 + 89/49*T^28 + 102/49*T^27 + 2*T^26 + 
        32/49*T^25 - 78/49*T^24 - 178/49*T^23 - 187/49*T^22 - 85/49*T^21 + 
        55/49*T^20 + 170/49*T^19 + 208/49*T^18 + 150/49*T^17 - 150/49*T^15 - 
        208/49*T^14 - 170/49*T^13 - 55/49*T^12 + 85/49*T^11 + 187/49*T^10 + 
        178/49*T^9 + 78/49*T^8 - 32/49*T^7 - 2*T^6 - 102/49*T^5 - 89/49*T^4 - 
        5/7*T^3 + T^2 + 13/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 6*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + 
        5*X*Y + 3*X + 2*Y^18 + 4*Y^17 + 3*Y^15 + 3*Y^14 + 3*Y^13 + 6*Y^12 + 6*Y^11 +
        4*Y^10 + 5*Y^9 + Y^8 + Y^7 + Y^6 + 3*Y^5 + 5*Y^2 + 2*Y + 5,
    -T^32 + 69/49*T^30 + 22/49*T^29 - 58/49*T^28 - 5/7*T^27 + 19/49*T^26 + 
        20/49*T^25 + 30/49*T^24 + 4/49*T^23 - 45/49*T^22 - 32/49*T^21 + 22/49*T^20 +
        40/49*T^19 - 5/49*T^18 - 3/7*T^17 + 3/7*T^15 + 5/49*T^14 - 40/49*T^13 - 
        22/49*T^12 + 32/49*T^11 + 45/49*T^10 - 4/49*T^9 - 30/49*T^8 - 20/49*T^7 - 
        19/49*T^6 + 5/7*T^5 + 58/49*T^4 - 22/49*T^3 - 69/49*T^2 + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + 3*X*Y^4 + 3*X*Y^2 + X*Y + 2*X + 
        3*Y^18 + 5*Y^17 + 3*Y^16 + 5*Y^15 + 3*Y^14 + Y^13 + 3*Y^12 + Y^11 + 3*Y^10 +
        3*Y^9 + 6*Y^8 + 6*Y^6 + 2*Y^5 + Y^4 + 5*Y^3 + 5*Y^2 + 4*Y,
    T^32 - 6/7*T^31 + 4/49*T^30 - 9/49*T^29 - 13/49*T^28 + 19/49*T^27 - 5/7*T^26 + 
        12/49*T^25 + 18/49*T^24 - 3/7*T^23 + 13/49*T^22 - 4/49*T^21 - 13/49*T^20 + 
        16/49*T^19 - 15/49*T^18 + 13/49*T^17 + 16/49*T^16 + 13/49*T^15 - 15/49*T^14 
        + 16/49*T^13 - 13/49*T^12 - 4/49*T^11 + 13/49*T^10 - 3/7*T^9 + 18/49*T^8 + 
        12/49*T^7 - 5/7*T^6 + 19/49*T^5 - 13/49*T^4 - 9/49*T^3 + 4/49*T^2 - 6/7*T + 
        1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^6 + X*Y^5 + 6*X*Y^4 + X*Y^3 + 3*X*Y^2 + 6*X*Y + X + 3*Y^18
        + 5*Y^17 + 5*Y^14 + Y^13 + 5*Y^12 + Y^10 + 5*Y^9 + 2*Y^7 + 6*Y^6 + 4*Y^5 + 
        2*Y^4 + 2*Y^2 + 4*Y,
    T^32 - 5/7*T^31 - 60/49*T^30 + 45/49*T^29 + 29/49*T^28 - 46/49*T^27 + 1/7*T^26 +
        54/49*T^25 - 39/49*T^24 - 36/49*T^23 + 5/7*T^22 + 24/49*T^21 - 29/49*T^20 - 
        20/49*T^19 + 34/49*T^18 + 6/49*T^17 - 32/49*T^16 + 6/49*T^15 + 34/49*T^14 - 
        20/49*T^13 - 29/49*T^12 + 24/49*T^11 + 5/7*T^10 - 36/49*T^9 - 39/49*T^8 + 
        54/49*T^7 + 1/7*T^6 - 46/49*T^5 + 29/49*T^4 + 45/49*T^3 - 60/49*T^2 - 5/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 
        6*X*Y^2 + 2*X + 5*Y^18 + 2*Y^17 + Y^15 + 5*Y^12 + 4*Y^11 + 3*Y^10 + 5*Y^7 + 
        6*Y^6 + 6*Y^5 + Y^4 + 6*Y^3 + 6*Y^2 + 5*Y + 1,
    T^32 + 2/7*T^31 - 59/49*T^30 + 43/49*T^29 + 110/49*T^28 - 74/49*T^27 - 
        41/49*T^26 + 152/49*T^25 + 1/49*T^24 - 128/49*T^23 + 83/49*T^22 + 95/49*T^21
        - 96/49*T^20 - 39/49*T^19 + 93/49*T^18 + 2/49*T^17 - 86/49*T^16 + 2/49*T^15 
        + 93/49*T^14 - 39/49*T^13 - 96/49*T^12 + 95/49*T^11 + 83/49*T^10 - 
        128/49*T^9 + 1/49*T^8 + 152/49*T^7 - 41/49*T^6 - 74/49*T^5 + 110/49*T^4 + 
        43/49*T^3 - 59/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 4*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + X*Y 
        + 4*X + 5*Y^18 + Y^17 + Y^16 + 5*Y^15 + 6*Y^12 + 6*Y^11 + 5*Y^10 + 6*Y^9 + 
        6*Y^8 + 4*Y^7 + 2*Y^6 + Y^4 + 3*Y^2 + 2*Y + 1,
    -T^32 + 3/7*T^31 + 32/49*T^30 - 47/49*T^29 + 3/7*T^28 - 2/49*T^27 + 5/49*T^26 - 
        4/49*T^25 - 4/7*T^24 + 48/49*T^23 - 51/49*T^22 - 3/49*T^21 + 40/49*T^20 - 
        41/49*T^19 + 33/49*T^18 - 3/7*T^17 + 3/7*T^15 - 33/49*T^14 + 41/49*T^13 - 
        40/49*T^12 + 3/49*T^11 + 51/49*T^10 - 48/49*T^9 + 4/7*T^8 + 4/49*T^7 - 
        5/49*T^6 + 2/49*T^5 - 3/7*T^4 + 47/49*T^3 - 32/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 6*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 4*X + 5*Y^18 + 2*Y^17 + 
        5*Y^16 + 3*Y^14 + 6*Y^13 + 5*Y^12 + 2*Y^11 + 4*Y^10 + 6*Y^8 + 2*Y^7 + 2*Y^6 
        + 4*Y^5 + 4*Y^4 + 5*Y^3 + Y^2 + 3*Y + 1,
    -T^32 + 3/7*T^30 + 15/49*T^29 + 20/49*T^28 + 1/49*T^27 - 26/49*T^26 + 18/49*T^25
        - 11/49*T^24 - 6/49*T^23 + 20/49*T^22 - 9/49*T^21 - 22/49*T^20 + 17/49*T^19 
        + 2/7*T^18 + 41/49*T^17 - 41/49*T^15 - 2/7*T^14 - 17/49*T^13 + 22/49*T^12 + 
        9/49*T^11 - 20/49*T^10 + 6/49*T^9 + 11/49*T^8 - 18/49*T^7 + 26/49*T^6 - 
        1/49*T^5 - 20/49*T^4 - 15/49*T^3 - 3/7*T^2 + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + Y^18 + 
        Y^17 + 4*Y^16 + 4*Y^15 + 4*Y^14 + Y^13 + 6*Y^12 + 2*Y^11 + 4*Y^10 + 6*Y^9 + 
        5*Y^8 + Y^7 + 3*Y^6 + 2*Y^5 + 2*Y^4 + 4*Y^3 + Y^2 + 4,
    -T^32 - 1/7*T^31 + 10/49*T^30 - 8/7*T^29 - 6/49*T^28 + 9/49*T^27 + 1/49*T^26 - 
        4/7*T^25 - 15/49*T^24 + 1/7*T^23 - 3/49*T^22 - 29/49*T^21 - 24/49*T^20 + 
        T^19 - 23/49*T^18 - 8/49*T^17 + 8/49*T^15 + 23/49*T^14 - T^13 + 24/49*T^12 +
        29/49*T^11 + 3/49*T^10 - 1/7*T^9 + 15/49*T^8 + 4/7*T^7 - 1/49*T^6 - 9/49*T^5
        + 6/49*T^4 + 8/7*T^3 - 10/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + 
        3*X*Y + 2*X + 4*Y^18 + 3*Y^16 + 6*Y^15 + 2*Y^14 + 3*Y^13 + 3*Y^12 + Y^11 + 
        5*Y^10 + 6*Y^9 + Y^8 + 5*Y^7 + 3*Y^6 + 3*Y^5 + 6*Y^4 + 6*Y^3 + Y^2 + 3*Y + 
        6,
    T^32 - 11/7*T^31 + T^30 - 58/49*T^29 + 13/49*T^28 + 51/49*T^27 - 25/49*T^26 + 
        5/7*T^25 - 32/49*T^24 - 31/49*T^23 + 8/49*T^22 + 45/49*T^21 - 41/49*T^20 + 
        26/49*T^19 - 1/49*T^18 - 40/49*T^17 + 58/49*T^16 - 40/49*T^15 - 1/49*T^14 + 
        26/49*T^13 - 41/49*T^12 + 45/49*T^11 + 8/49*T^10 - 31/49*T^9 - 32/49*T^8 + 
        5/7*T^7 - 25/49*T^6 + 51/49*T^5 + 13/49*T^4 - 58/49*T^3 + T^2 - 11/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + X*Y^3 + 4*X*Y^2 
        + 4*X*Y + 2*Y^18 + 3*Y^17 + 5*Y^16 + 4*Y^14 + 3*Y^13 + 3*Y^12 + Y^11 + 
        4*Y^10 + Y^9 + 4*Y^8 + 4*Y^7 + 5*Y^6 + 6*Y^5 + 2*Y^4 + 5*Y^3 + 3*Y + 4,
    -T^32 - 4/7*T^31 + 27/49*T^30 - 17/49*T^29 + 23/49*T^28 + 64/49*T^27 - 
        15/49*T^26 - 1/7*T^25 - 11/49*T^24 - 5/7*T^23 + 18/49*T^22 - 1/7*T^21 + 
        11/49*T^20 + 4/7*T^19 - 19/49*T^18 + 10/49*T^17 - 10/49*T^15 + 19/49*T^14 - 
        4/7*T^13 - 11/49*T^12 + 1/7*T^11 - 18/49*T^10 + 5/7*T^9 + 11/49*T^8 + 
        1/7*T^7 + 15/49*T^6 - 64/49*T^5 - 23/49*T^4 + 17/49*T^3 - 27/49*T^2 + 4/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + 6*X + 3*Y^18 + 2*Y^17 + 5*Y^15 + 2*Y^14 + 5*Y^13 + 2*Y^12 + 2*Y^11 +
        4*Y^10 + Y^9 + 3*Y^8 + 6*Y^7 + 3*Y^6 + 6*Y^5 + 2*Y^4 + 6*Y^3 + 6*Y^2 + 2*Y +
        4,
    -T^32 + 8/7*T^31 - 43/49*T^30 - 2/7*T^29 + 1/49*T^28 + 43/49*T^27 - 82/49*T^26 +
        90/49*T^25 - 32/49*T^24 + 1/49*T^23 + 16/49*T^22 + 27/49*T^21 - 54/49*T^20 +
        6/7*T^19 + 4/49*T^18 - 30/49*T^17 + 30/49*T^15 - 4/49*T^14 - 6/7*T^13 + 
        54/49*T^12 - 27/49*T^11 - 16/49*T^10 - 1/49*T^9 + 32/49*T^8 - 90/49*T^7 + 
        82/49*T^6 - 43/49*T^5 - 1/49*T^4 + 2/7*T^3 + 43/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + X*Y^4 + 3*X*Y^2 + 4*X*Y 
        + 3*X + 2*Y^18 + 5*Y^17 + 4*Y^16 + 3*Y^15 + Y^14 + 4*Y^11 + 6*Y^10 + 2*Y^9 +
        6*Y^7 + Y^5 + Y^3 + 5*Y^2 + Y,
    T^32 - 2/7*T^30 + 1/49*T^29 - 36/49*T^28 - 1/7*T^27 + 6/49*T^26 + 2/7*T^25 - 
        5/49*T^24 - 8/49*T^23 + 9/49*T^22 + 3/49*T^21 - 1/7*T^20 - 1/7*T^19 - 
        5/49*T^18 + 3/49*T^17 + 8/49*T^16 + 3/49*T^15 - 5/49*T^14 - 1/7*T^13 - 
        1/7*T^12 + 3/49*T^11 + 9/49*T^10 - 8/49*T^9 - 5/49*T^8 + 2/7*T^7 + 6/49*T^6 
        - 1/7*T^5 - 36/49*T^4 + 1/49*T^3 - 2/7*T^2 + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 
        + 4*X*Y + 3*X + 2*Y^18 + Y^17 + Y^16 + 4*Y^15 + 4*Y^14 + 2*Y^13 + 4*Y^10 + 
        3*Y^9 + Y^8 + 6*Y^7 + 5*Y^5 + 2*Y^4 + 5*Y^3 + Y^2,
    -T^32 - T^31 + 41/49*T^30 + 85/49*T^29 + 15/49*T^28 - 76/49*T^27 - 4/7*T^26 + 
        71/49*T^25 + 29/49*T^24 - 8/7*T^23 - 17/49*T^22 + 48/49*T^21 + 6/49*T^20 - 
        64/49*T^19 - 33/49*T^18 + 31/49*T^17 - 31/49*T^15 + 33/49*T^14 + 64/49*T^13 
        - 6/49*T^12 - 48/49*T^11 + 17/49*T^10 + 8/7*T^9 - 29/49*T^8 - 71/49*T^7 + 
        4/7*T^6 + 76/49*T^5 - 15/49*T^4 - 85/49*T^3 - 41/49*T^2 + T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 4*X*Y^2 + 2*X*Y 
        + 4*X + Y^18 + 3*Y^17 + 6*Y^15 + 3*Y^14 + 6*Y^13 + 2*Y^12 + 2*Y^11 + 5*Y^10 
        + 5*Y^9 + Y^8 + 6*Y^7 + 5*Y^5 + Y^4 + Y^3 + 5*Y^2 + 6*Y + 3,
    -T^32 + 6/7*T^31 + 60/49*T^30 - 44/49*T^29 - 27/49*T^28 - 13/49*T^27 + 
        46/49*T^26 + 41/49*T^25 - 111/49*T^24 - 27/49*T^23 + 129/49*T^22 + 
        23/49*T^21 - 43/49*T^20 - 69/49*T^19 - 4/7*T^18 + 127/49*T^17 - 127/49*T^15 
        + 4/7*T^14 + 69/49*T^13 + 43/49*T^12 - 23/49*T^11 - 129/49*T^10 + 27/49*T^9 
        + 111/49*T^8 - 41/49*T^7 - 46/49*T^6 + 13/49*T^5 + 27/49*T^4 + 44/49*T^3 - 
        60/49*T^2 - 6/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 5*X*Y^3 + 5*X*Y^2 + 5*X*Y 
        + 2*X + Y^18 + Y^17 + 4*Y^16 + 4*Y^15 + 5*Y^14 + 5*Y^13 + 6*Y^11 + 5*Y^10 + 
        3*Y^8 + 5*Y^7 + 6*Y^5 + 4*Y^4 + 2*Y + 4,
    -T^32 - 24/49*T^30 - 1/7*T^29 - 3/49*T^28 - 11/49*T^27 + 29/49*T^26 + 24/49*T^24
        + 2/49*T^23 + 3/7*T^22 - 8/49*T^21 + 1/7*T^20 + 9/49*T^19 - 4/49*T^18 - 
        17/49*T^17 + 17/49*T^15 + 4/49*T^14 - 9/49*T^13 - 1/7*T^12 + 8/49*T^11 - 
        3/7*T^10 - 2/49*T^9 - 24/49*T^8 - 29/49*T^6 + 11/49*T^5 + 3/49*T^4 + 1/7*T^3
        + 24/49*T^2 + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + X*Y^2 + 5*X*Y 
        + 2*X + 6*Y^18 + Y^17 + Y^16 + 4*Y^14 + 5*Y^13 + 5*Y^12 + 5*Y^11 + 5*Y^10 + 
        Y^8 + 3*Y^7 + 3*Y^6 + Y^4 + 4*Y^3 + 6*Y^2 + 4*Y + 6,
    -T^32 + 3/7*T^31 + 47/49*T^30 - T^29 - 29/49*T^28 + 3/7*T^27 + 30/49*T^26 + 
        25/49*T^25 - 37/49*T^24 - 61/49*T^23 + 53/49*T^22 + 79/49*T^21 - 67/49*T^20 
        - 52/49*T^19 + 43/49*T^18 + 45/49*T^17 - 45/49*T^15 - 43/49*T^14 + 
        52/49*T^13 + 67/49*T^12 - 79/49*T^11 - 53/49*T^10 + 61/49*T^9 + 37/49*T^8 - 
        25/49*T^7 - 30/49*T^6 - 3/7*T^5 + 29/49*T^4 + T^3 - 47/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^7 + X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 5*X*Y + 5*Y^18 +
        4*Y^17 + 6*Y^16 + 4*Y^15 + 3*Y^14 + 3*Y^12 + 5*Y^11 + Y^10 + 4*Y^7 + 4*Y^6 +
        2*Y^5 + 6*Y^4 + 4*Y^3 + 2*Y^2 + 1,
    -T^32 + T^31 + 53/49*T^30 - 80/49*T^29 + 8/49*T^28 + 55/49*T^27 - 48/49*T^26 - 
        20/49*T^25 + 60/49*T^24 + 2/49*T^23 - 55/49*T^22 + 2/49*T^21 + 62/49*T^20 - 
        48/49*T^19 - 62/49*T^18 + 118/49*T^17 - 118/49*T^15 + 62/49*T^14 + 
        48/49*T^13 - 62/49*T^12 - 2/49*T^11 + 55/49*T^10 - 2/49*T^9 - 60/49*T^8 + 
        20/49*T^7 + 48/49*T^6 - 55/49*T^5 - 8/49*T^4 + 80/49*T^3 - 53/49*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + X*Y^2 + 2*X + Y^18
        + 4*Y^17 + 5*Y^16 + 2*Y^14 + 6*Y^13 + 6*Y^12 + 4*Y^11 + 6*Y^10 + 5*Y^9 + 
        3*Y^8 + Y^7 + 4*Y^6 + 6*Y^5 + 6*Y^4 + Y^2 + 3*Y,
    -T^32 + 9/7*T^31 + 3/49*T^30 - 8/7*T^29 + 38/49*T^28 + 20/49*T^27 - 4/7*T^26 - 
        24/49*T^25 + 10/7*T^24 - 39/49*T^23 - 20/49*T^22 + 38/49*T^21 - 31/49*T^19 +
        33/49*T^18 + 1/7*T^17 - 1/7*T^15 - 33/49*T^14 + 31/49*T^13 - 38/49*T^11 + 
        20/49*T^10 + 39/49*T^9 - 10/7*T^8 + 24/49*T^7 + 4/7*T^6 - 20/49*T^5 - 
        38/49*T^4 + 8/7*T^3 - 3/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + X*Y^4 + 4*X*Y^3 + 
        4*X*Y^2 + 2*X*Y + 4*X + 4*Y^18 + 5*Y^17 + 2*Y^16 + 3*Y^15 + 5*Y^14 + 6*Y^13 
        + 5*Y^12 + 6*Y^10 + 5*Y^8 + Y^7 + 4*Y^6 + 3*Y^5 + 3*Y^4 + 5*Y^3 + Y^2 + 6*Y 
        + 1,
    -T^32 - 8/7*T^31 + 31/49*T^30 + 50/49*T^29 + 8/49*T^28 + 12/49*T^27 + 9/49*T^26 
        - 5/49*T^25 - 12/49*T^24 - 6/7*T^23 - 23/49*T^22 + 25/49*T^21 + 31/49*T^20 +
        4/7*T^19 + 8/49*T^18 - 26/49*T^17 + 26/49*T^15 - 8/49*T^14 - 4/7*T^13 - 
        31/49*T^12 - 25/49*T^11 + 23/49*T^10 + 6/7*T^9 + 12/49*T^8 + 5/49*T^7 - 
        9/49*T^6 - 12/49*T^5 - 8/49*T^4 - 50/49*T^3 - 31/49*T^2 + 8/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + X*Y^4 + 6*X*Y^3 + 
        3*X*Y^2 + 3*X*Y + 2*X + Y^18 + 2*Y^17 + 5*Y^16 + 3*Y^15 + 3*Y^14 + Y^13 + 
        Y^12 + 2*Y^11 + 3*Y^10 + 5*Y^6 + 3*Y^5 + 5*Y^3 + 5*Y^2 + 5*Y + 6,
    -T^32 + 18/7*T^31 - 137/49*T^30 + 106/49*T^29 - 64/49*T^28 - 9/49*T^27 + 
        76/49*T^26 - 20/7*T^25 + 204/49*T^24 - 162/49*T^23 + 64/49*T^22 - 1/7*T^21 -
        53/49*T^20 + 102/49*T^19 - 123/49*T^18 + 106/49*T^17 - 106/49*T^15 + 
        123/49*T^14 - 102/49*T^13 + 53/49*T^12 + 1/7*T^11 - 64/49*T^10 + 162/49*T^9 
        - 204/49*T^8 + 20/7*T^7 - 76/49*T^6 + 9/49*T^5 + 64/49*T^4 - 106/49*T^3 + 
        137/49*T^2 - 18/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + 
        2*X*Y + 4*Y^18 + 5*Y^17 + 2*Y^16 + 2*Y^15 + 2*Y^14 + 2*Y^13 + 6*Y^12 + 
        5*Y^11 + 3*Y^10 + 5*Y^9 + 5*Y^8 + 4*Y^7 + 2*Y^5 + 2*Y^4 + 6*Y^3 + 4*Y^2 + 
        6*Y + 6,
    T^32 + 10/7*T^31 + 34/49*T^30 + 57/49*T^29 + 15/7*T^28 + 89/49*T^27 + 40/49*T^26
        + 33/49*T^25 + 54/49*T^24 + 6/7*T^23 - 1/49*T^22 - 4/49*T^21 + 19/49*T^20 + 
        33/49*T^19 + 33/49*T^18 + 41/49*T^17 + 8/7*T^16 + 41/49*T^15 + 33/49*T^14 + 
        33/49*T^13 + 19/49*T^12 - 4/49*T^11 - 1/49*T^10 + 6/7*T^9 + 54/49*T^8 + 
        33/49*T^7 + 40/49*T^6 + 89/49*T^5 + 15/7*T^4 + 57/49*T^3 + 34/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + X*Y^5 + 6*X*Y^3 + 2*X*Y + 5*X + 
        2*Y^18 + 6*Y^17 + 3*Y^16 + 4*Y^15 + 6*Y^14 + 2*Y^13 + 6*Y^12 + 5*Y^11 + 
        3*Y^10 + 3*Y^9 + 4*Y^8 + 6*Y^5 + 4*Y^4 + 3*Y^3 + 5*Y^2 + 6*Y + 5,
    -T^32 - 3/7*T^31 + 94/49*T^30 + 40/49*T^29 - 80/49*T^28 - 57/49*T^27 + 
        45/49*T^26 + 58/49*T^25 + 5/49*T^24 - 33/49*T^23 - 36/49*T^22 + 23/49*T^21 +
        23/49*T^20 - 40/49*T^19 - 6/49*T^18 + 62/49*T^17 - 62/49*T^15 + 6/49*T^14 + 
        40/49*T^13 - 23/49*T^12 - 23/49*T^11 + 36/49*T^10 + 33/49*T^9 - 5/49*T^8 - 
        58/49*T^7 - 45/49*T^6 + 57/49*T^5 + 80/49*T^4 - 40/49*T^3 - 94/49*T^2 + 
        3/7*T + 1
*], [*
    X^3 + X*Y^8 + 5*X*Y^7 + 3*X*Y^5 + 2*X*Y^3 + 4*X*Y + 2*X + 4*Y^18 + 2*Y^17 + 
        5*Y^16 + 4*Y^15 + Y^14 + 3*Y^12 + Y^11 + 6*Y^10 + 5*Y^9 + 4*Y^8 + 6*Y^7 + 
        4*Y^6 + 5*Y^5 + 5*Y^4 + 6*Y^3 + 6*Y^2 + 5*Y + 1,
    T^32 + 2*T^31 + 38/49*T^30 - 59/49*T^29 - 8/7*T^28 + 50/49*T^27 + 135/49*T^26 + 
        10/7*T^25 - 65/49*T^24 - 11/7*T^23 + 17/49*T^22 + 81/49*T^21 + 37/49*T^20 - 
        62/49*T^19 - 67/49*T^18 + 31/49*T^17 + 89/49*T^16 + 31/49*T^15 - 67/49*T^14 
        - 62/49*T^13 + 37/49*T^12 + 81/49*T^11 + 17/49*T^10 - 11/7*T^9 - 65/49*T^8 +
        10/7*T^7 + 135/49*T^6 + 50/49*T^5 - 8/7*T^4 - 59/49*T^3 + 38/49*T^2 + 2*T + 
        1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 4*X*Y^3 + 3*X*Y^2 + 
        3*X*Y + 5*X + 2*Y^18 + 3*Y^16 + 5*Y^15 + 3*Y^14 + 2*Y^13 + 5*Y^12 + 4*Y^11 +
        3*Y^10 + 3*Y^9 + 5*Y^8 + 2*Y^7 + 6*Y^6 + 2*Y^5 + 5*Y^4 + Y^3 + Y + 4,
    -T^32 - 2/7*T^31 + 102/49*T^30 + 17/49*T^29 - 152/49*T^28 - 61/49*T^27 + 
        171/49*T^26 + 115/49*T^25 - 150/49*T^24 - 167/49*T^23 + 99/49*T^22 + 
        211/49*T^21 - T^20 - 222/49*T^19 + 16/49*T^18 + 32/7*T^17 - 32/7*T^15 - 
        16/49*T^14 + 222/49*T^13 + T^12 - 211/49*T^11 - 99/49*T^10 + 167/49*T^9 + 
        150/49*T^8 - 115/49*T^7 - 171/49*T^6 + 61/49*T^5 + 152/49*T^4 - 17/49*T^3 - 
        102/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 6*X*Y^2 + 3*X*Y 
        + 4*X + 3*Y^18 + Y^16 + 5*Y^15 + 6*Y^14 + 6*Y^13 + 5*Y^11 + 6*Y^10 + 2*Y^8 +
        2*Y^7 + 6*Y^6 + 2*Y^4 + 6*Y^3 + Y^2 + 2*Y + 4,
    -T^32 + 4/7*T^31 + 1/7*T^30 + 4/49*T^29 + 15/49*T^28 - 29/49*T^27 + 17/49*T^26 +
        11/49*T^25 - 17/49*T^24 + 6/49*T^23 + 10/49*T^22 + 19/49*T^21 - 8/49*T^20 - 
        3/49*T^19 - 25/49*T^18 + 26/49*T^17 - 26/49*T^15 + 25/49*T^14 + 3/49*T^13 + 
        8/49*T^12 - 19/49*T^11 - 10/49*T^10 - 6/49*T^9 + 17/49*T^8 - 11/49*T^7 - 
        17/49*T^6 + 29/49*T^5 - 15/49*T^4 - 4/49*T^3 - 1/7*T^2 - 4/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 3*X*Y^7 + X*Y^5 + 4*X*Y^4 + 6*X*Y^2 + 5*X + 2*Y^18 + 5*Y^16 + 
        4*Y^15 + 4*Y^14 + 3*Y^13 + 5*Y^12 + 2*Y^11 + 4*Y^10 + 5*Y^9 + 2*Y^8 + 4*Y^7 
        + 6*Y^6 + 5*Y^5 + 4*Y^4 + 2*Y^3 + 5*Y^2 + Y + 4,
    T^32 - 5/7*T^31 - 103/49*T^30 + 6/7*T^29 + 151/49*T^28 - 16/49*T^27 - 
        172/49*T^26 + 9/49*T^25 + 23/7*T^24 - 30/49*T^23 - 148/49*T^22 + 57/49*T^21 
        + 143/49*T^20 - 43/49*T^19 - 23/7*T^18 + 12/49*T^17 + 177/49*T^16 + 
        12/49*T^15 - 23/7*T^14 - 43/49*T^13 + 143/49*T^12 + 57/49*T^11 - 148/49*T^10
        - 30/49*T^9 + 23/7*T^8 + 9/49*T^7 - 172/49*T^6 - 16/49*T^5 + 151/49*T^4 + 
        6/7*T^3 - 103/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        5*X*Y^2 + X*Y + 3*X + 6*Y^18 + 2*Y^17 + 4*Y^16 + 4*Y^15 + 3*Y^14 + 6*Y^13 + 
        2*Y^10 + 2*Y^9 + 3*Y^8 + 6*Y^7 + 6*Y^6 + 4*Y^4 + 3*Y^3 + 2*Y^2 + 2*Y + 1,
    -T^32 - 10/7*T^31 - 10/7*T^30 - 36/49*T^29 - 4/49*T^28 - 24/49*T^27 - 16/49*T^26
        - 67/49*T^25 - 39/49*T^24 - 12/49*T^23 + 19/49*T^22 + 34/49*T^21 - 8/49*T^20
        + 32/49*T^19 - 5/49*T^18 + 2/7*T^17 - 2/7*T^15 + 5/49*T^14 - 32/49*T^13 + 
        8/49*T^12 - 34/49*T^11 - 19/49*T^10 + 12/49*T^9 + 39/49*T^8 + 67/49*T^7 + 
        16/49*T^6 + 24/49*T^5 + 4/49*T^4 + 36/49*T^3 + 10/7*T^2 + 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^7 + 6*X*Y^6 + X*Y^4 + 4*X*Y^2 + 6*X*Y + 2*X + 6*Y^18 + 
        3*Y^17 + 4*Y^16 + Y^15 + 4*Y^14 + 5*Y^13 + 4*Y^12 + 6*Y^11 + 2*Y^10 + 5*Y^9 
        + 6*Y^8 + 3*Y^7 + 5*Y^6 + 3*Y^5 + 3*Y^3 + 2*Y^2,
    T^32 - 6/7*T^31 + 52/49*T^30 - 22/49*T^29 + 31/49*T^28 + 12/49*T^27 - 11/49*T^26
        + 4/7*T^25 - 1/49*T^24 - 16/49*T^23 + 11/49*T^22 - 31/49*T^21 + 13/49*T^20 -
        1/49*T^19 - 66/49*T^18 + 8/7*T^17 - 88/49*T^16 + 8/7*T^15 - 66/49*T^14 - 
        1/49*T^13 + 13/49*T^12 - 31/49*T^11 + 11/49*T^10 - 16/49*T^9 - 1/49*T^8 + 
        4/7*T^7 - 11/49*T^6 + 12/49*T^5 + 31/49*T^4 - 22/49*T^3 + 52/49*T^2 - 6/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + 
        2*X*Y + 5*X + 2*Y^18 + 6*Y^16 + Y^15 + Y^14 + 6*Y^13 + 3*Y^12 + 5*Y^11 + 
        3*Y^10 + 3*Y^9 + 2*Y^8 + 5*Y^7 + Y^6 + Y^5 + Y^4 + 2*Y^2 + 3*Y + 2,
    T^32 - 5/7*T^31 + 22/49*T^30 - 17/49*T^29 + 39/49*T^28 - 10/49*T^27 - 36/49*T^26
        + 5/7*T^25 - 2/7*T^24 - 4/49*T^23 + 8/49*T^22 + 2/49*T^21 + 17/49*T^20 - 
        8/49*T^19 - 1/7*T^18 + 37/49*T^17 - 5/7*T^16 + 37/49*T^15 - 1/7*T^14 - 
        8/49*T^13 + 17/49*T^12 + 2/49*T^11 + 8/49*T^10 - 4/49*T^9 - 2/7*T^8 + 
        5/7*T^7 - 36/49*T^6 - 10/49*T^5 + 39/49*T^4 - 17/49*T^3 + 22/49*T^2 - 5/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 5*X*Y^6 + X*Y^5 + 2*X*Y^3 + 4*X*Y^2 + 6*X*Y + 3*X + 
        4*Y^18 + 2*Y^17 + 5*Y^16 + 6*Y^15 + 3*Y^13 + 6*Y^12 + Y^11 + 6*Y^10 + 6*Y^9 
        + Y^8 + Y^7 + 6*Y^6 + 2*Y^4 + 2*Y^3 + 3*Y + 2,
    -T^32 - 6/7*T^31 - 23/49*T^30 - 15/49*T^29 - 22/49*T^28 + 11/49*T^27 + 
        46/49*T^26 + 53/49*T^25 + 43/49*T^24 + 40/49*T^23 + 26/49*T^22 - 22/49*T^21 
        - 17/49*T^20 - 6/49*T^19 - 31/49*T^18 - 33/49*T^17 + 33/49*T^15 + 31/49*T^14
        + 6/49*T^13 + 17/49*T^12 + 22/49*T^11 - 26/49*T^10 - 40/49*T^9 - 43/49*T^8 -
        53/49*T^7 - 46/49*T^6 - 11/49*T^5 + 22/49*T^4 + 15/49*T^3 + 23/49*T^2 + 
        6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + X*Y^4 + 4*X*Y^3 + 2*X*Y^2 + 4*X*Y 
        + 6*X + 4*Y^18 + 4*Y^17 + 3*Y^15 + 4*Y^14 + 6*Y^13 + Y^12 + 4*Y^11 + 6*Y^9 +
        Y^8 + Y^7 + 3*Y^6 + 6*Y^5 + 3*Y^4 + 3*Y^3 + Y^2 + 1,
    -T^32 - 2/7*T^31 + 3/49*T^30 + 40/49*T^29 + 4/7*T^28 + 20/49*T^27 + 6/49*T^26 - 
        10/49*T^25 - 12/49*T^24 - 27/49*T^23 + 22/49*T^22 - 2/49*T^21 + 19/49*T^20 -
        43/49*T^19 - 40/49*T^18 - 26/49*T^17 + 26/49*T^15 + 40/49*T^14 + 43/49*T^13 
        - 19/49*T^12 + 2/49*T^11 - 22/49*T^10 + 27/49*T^9 + 12/49*T^8 + 10/49*T^7 - 
        6/49*T^6 - 20/49*T^5 - 4/7*T^4 - 40/49*T^3 - 3/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 6*X*Y^7 + X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 5*X*Y + 
        3*X + 6*Y^18 + 2*Y^17 + Y^16 + 6*Y^15 + 5*Y^14 + Y^13 + 6*Y^12 + 3*Y^11 + 
        4*Y^10 + 4*Y^9 + 3*Y^8 + 2*Y^6 + 2*Y^5 + Y^3 + Y + 2,
    T^32 + 4/7*T^31 - 36/49*T^30 - 8/49*T^29 + 32/49*T^28 - 23/49*T^27 - 62/49*T^26 
        + 43/49*T^25 + 51/49*T^24 - 38/49*T^23 - 33/49*T^22 + 38/49*T^21 - 
        11/49*T^20 - T^19 + 30/49*T^18 + 25/49*T^17 - 8/49*T^16 + 25/49*T^15 + 
        30/49*T^14 - T^13 - 11/49*T^12 + 38/49*T^11 - 33/49*T^10 - 38/49*T^9 + 
        51/49*T^8 + 43/49*T^7 - 62/49*T^6 - 23/49*T^5 + 32/49*T^4 - 8/49*T^3 - 
        36/49*T^2 + 4/7*T + 1
*], [*
    X^3 + X*Y^8 + 6*X*Y^6 + 2*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + 4*X*Y + 4*X + 2*Y^18 + 
        2*Y^17 + 3*Y^16 + 2*Y^15 + 4*Y^14 + 3*Y^13 + 5*Y^12 + 3*Y^10 + 3*Y^9 + 4*Y^8
        + 6*Y^7 + 3*Y^6 + 6*Y^5 + 5*Y^4 + 4*Y^3 + 3*Y^2 + 6*Y + 1,
    -T^32 + 3/7*T^31 + 6/49*T^30 - 50/49*T^29 + 40/49*T^28 - 1/7*T^27 - 2/49*T^26 + 
        17/49*T^25 - 26/49*T^24 + 26/49*T^23 - 23/49*T^22 + 9/49*T^21 + 34/49*T^20 -
        T^19 + 20/49*T^18 + 15/49*T^17 - 15/49*T^15 - 20/49*T^14 + T^13 - 34/49*T^12
        - 9/49*T^11 + 23/49*T^10 - 26/49*T^9 + 26/49*T^8 - 17/49*T^7 + 2/49*T^6 + 
        1/7*T^5 - 40/49*T^4 + 50/49*T^3 - 6/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 
        3*X*Y^2 + 6*X*Y + 6*Y^18 + 4*Y^16 + 2*Y^15 + 3*Y^14 + 2*Y^13 + 5*Y^12 + Y^11
        + 5*Y^10 + 6*Y^9 + 4*Y^8 + 4*Y^6 + 3*Y^5 + 3*Y^4 + 4*Y^3 + 5*Y^2 + 2*Y + 2,
    T^32 - 6/7*T^31 - 9/7*T^30 + 9/7*T^29 + 51/49*T^28 - 85/49*T^27 + 2/49*T^26 + 
        96/49*T^25 - 9/7*T^24 - 71/49*T^23 + 10/7*T^22 + 39/49*T^21 - 61/49*T^20 - 
        1/49*T^19 + 46/49*T^18 - 1/7*T^17 - 6/7*T^16 - 1/7*T^15 + 46/49*T^14 - 
        1/49*T^13 - 61/49*T^12 + 39/49*T^11 + 10/7*T^10 - 71/49*T^9 - 9/7*T^8 + 
        96/49*T^7 + 2/49*T^6 - 85/49*T^5 + 51/49*T^4 + 9/7*T^3 - 9/7*T^2 - 6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + X*Y^3 + 6*X*Y^2 
        + 4*X*Y + 6*X + 2*Y^18 + 4*Y^17 + 4*Y^16 + Y^15 + 3*Y^14 + 5*Y^13 + 2*Y^12 +
        3*Y^11 + 6*Y^10 + 6*Y^8 + 5*Y^7 + Y^6 + 5*Y^5 + 5*Y^4 + 3*Y^3 + 3*Y^2 + 5*Y 
        + 3,
    T^32 + 12/7*T^31 + 45/49*T^30 - 38/49*T^28 - 60/49*T^27 - 4/7*T^26 + 32/49*T^25 
        + 40/49*T^24 - 4/7*T^23 - 76/49*T^22 - 64/49*T^21 - 34/49*T^20 + 16/49*T^19 
        + 51/49*T^18 + 24/49*T^17 - 1/49*T^16 + 24/49*T^15 + 51/49*T^14 + 16/49*T^13
        - 34/49*T^12 - 64/49*T^11 - 76/49*T^10 - 4/7*T^9 + 40/49*T^8 + 32/49*T^7 - 
        4/7*T^6 - 60/49*T^5 - 38/49*T^4 + 45/49*T^2 + 12/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 5*X*Y^6 + 3*X*Y^5 + 4*X*Y^3 + X*Y^2 + 5*X*Y + 3*X + 
        2*Y^18 + 6*Y^16 + 2*Y^14 + Y^13 + 6*Y^12 + Y^11 + 4*Y^9 + 5*Y^8 + 2*Y^7 + 
        Y^6 + 3*Y^5 + Y^4 + 3*Y^3 + 6*Y^2 + 4*Y + 3,
    T^32 - 2*T^31 + 41/49*T^30 + 47/49*T^29 - 66/49*T^28 + 46/49*T^27 - 22/49*T^26 -
        40/49*T^25 + 67/49*T^24 - 25/49*T^23 - 6/49*T^22 + 34/49*T^21 - 96/49*T^20 +
        94/49*T^19 + 13/49*T^18 - 74/49*T^17 + 72/49*T^16 - 74/49*T^15 + 13/49*T^14 
        + 94/49*T^13 - 96/49*T^12 + 34/49*T^11 - 6/49*T^10 - 25/49*T^9 + 67/49*T^8 -
        40/49*T^7 - 22/49*T^6 + 46/49*T^5 - 66/49*T^4 + 47/49*T^3 + 41/49*T^2 - 2*T 
        + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + X*Y^3 + 4*X*Y^2 
        + 4*X*Y + 4*X + 6*Y^18 + 6*Y^17 + 4*Y^16 + Y^14 + 6*Y^13 + 5*Y^12 + 3*Y^10 +
        5*Y^9 + 6*Y^8 + 4*Y^7 + Y^6 + 6*Y^4 + 5*Y^3 + 2*Y^2 + 2*Y,
    -T^32 - 10/7*T^31 - 59/49*T^30 - 32/49*T^29 + 10/49*T^28 + 57/49*T^27 + 
        54/49*T^26 + 27/49*T^25 - 3/7*T^24 - 5/7*T^23 - 23/49*T^22 - 9/49*T^21 + 
        17/49*T^20 + 5/7*T^19 + 20/49*T^18 + 18/49*T^17 - 18/49*T^15 - 20/49*T^14 - 
        5/7*T^13 - 17/49*T^12 + 9/49*T^11 + 23/49*T^10 + 5/7*T^9 + 3/7*T^8 - 
        27/49*T^7 - 54/49*T^6 - 57/49*T^5 - 10/49*T^4 + 32/49*T^3 + 59/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 5*X*Y^2 
        + 4*X*Y + 5*X + 6*Y^18 + 6*Y^17 + 6*Y^16 + 6*Y^15 + 5*Y^14 + 4*Y^12 + 6*Y^10
        + Y^9 + 4*Y^8 + Y^6 + 3*Y^5 + 5*Y^4 + 6*Y^3 + 2*Y^2 + 6,
    T^32 + 13/7*T^31 + 64/49*T^30 - 15/49*T^29 - 83/49*T^28 - 145/49*T^27 - 
        170/49*T^26 - 110/49*T^25 - 1/49*T^24 + 15/7*T^23 + 184/49*T^22 + 
        195/49*T^21 + 125/49*T^20 + 22/49*T^19 - 71/49*T^18 - 143/49*T^17 - 
        178/49*T^16 - 143/49*T^15 - 71/49*T^14 + 22/49*T^13 + 125/49*T^12 + 
        195/49*T^11 + 184/49*T^10 + 15/7*T^9 - 1/49*T^8 - 110/49*T^7 - 170/49*T^6 - 
        145/49*T^5 - 83/49*T^4 - 15/49*T^3 + 64/49*T^2 + 13/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + X*Y + 
        6*X + 5*Y^18 + 5*Y^17 + 2*Y^16 + Y^15 + Y^14 + 4*Y^13 + 6*Y^12 + 4*Y^11 + 
        6*Y^10 + 6*Y^9 + 4*Y^8 + Y^7 + 3*Y^6 + 2*Y^5 + 5*Y^4 + 5*Y^2 + 6*Y,
    -T^32 - 1/7*T^31 + 78/49*T^30 + 22/49*T^29 - 3/7*T^28 - 2/7*T^27 - 32/49*T^26 - 
        1/7*T^25 + 34/49*T^24 - 16/49*T^23 + 1/49*T^22 + 53/49*T^21 - 17/49*T^20 - 
        30/49*T^19 + 4/49*T^18 - 24/49*T^17 + 24/49*T^15 - 4/49*T^14 + 30/49*T^13 + 
        17/49*T^12 - 53/49*T^11 - 1/49*T^10 + 16/49*T^9 - 34/49*T^8 + 1/7*T^7 + 
        32/49*T^6 + 2/7*T^5 + 3/7*T^4 - 22/49*T^3 - 78/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 2*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + X*Y^2 + 5*X*Y 
        + 5*X + Y^18 + 4*Y^16 + 2*Y^15 + 3*Y^14 + 5*Y^13 + 3*Y^10 + 6*Y^9 + 3*Y^8 + 
        4*Y^7 + 2*Y^5 + 4*Y^4 + Y^3 + 2*Y^2 + 4*Y + 4,
    -T^32 + 2*T^31 - 71/49*T^30 + 34/49*T^29 - 36/49*T^28 + 24/49*T^27 - 22/49*T^26 
        + T^25 - 5/7*T^24 - 13/49*T^23 + 34/49*T^22 - 46/49*T^21 + 59/49*T^20 - 
        26/49*T^19 - 8/49*T^18 + 2/49*T^17 - 2/49*T^15 + 8/49*T^14 + 26/49*T^13 - 
        59/49*T^12 + 46/49*T^11 - 34/49*T^10 + 13/49*T^9 + 5/7*T^8 - T^7 + 22/49*T^6
        - 24/49*T^5 + 36/49*T^4 - 34/49*T^3 + 71/49*T^2 - 2*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 5*X*Y^6 + 6*X*Y^2 + 5*X + 2*Y^18 + 5*Y^16 + Y^15 + 
        2*Y^14 + 2*Y^13 + 4*Y^12 + Y^11 + 6*Y^9 + Y^4 + 2*Y^2 + 4*Y + 5,
    T^32 + 2/7*T^31 - 5/7*T^30 + 4/49*T^29 + 3/49*T^28 - 5/49*T^27 + 2/49*T^26 - 
        36/49*T^25 - 17/49*T^24 + 25/49*T^23 - 29/49*T^22 - 2/7*T^21 + 2/49*T^20 - 
        23/49*T^19 + 34/49*T^18 + 34/49*T^17 - 16/49*T^16 + 34/49*T^15 + 34/49*T^14 
        - 23/49*T^13 + 2/49*T^12 - 2/7*T^11 - 29/49*T^10 + 25/49*T^9 - 17/49*T^8 - 
        36/49*T^7 + 2/49*T^6 - 5/49*T^5 + 3/49*T^4 + 4/49*T^3 - 5/7*T^2 + 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + X*Y^5 + X*Y^4 + 3*X*Y^2 + 4*X*Y + 
        4*X + Y^18 + 5*Y^16 + 5*Y^15 + 6*Y^14 + 4*Y^13 + 4*Y^10 + 4*Y^9 + 2*Y^6 + 
        2*Y^5 + 6*Y^4 + 4*Y^3 + 2*Y^2 + 3*Y + 4,
    -T^32 + 6/7*T^31 + 2/49*T^30 - 4/49*T^29 - 15/49*T^28 + 1/7*T^27 + 30/49*T^26 - 
        30/49*T^25 + 20/49*T^24 - 15/49*T^23 + 18/49*T^22 - 18/49*T^21 + 5/7*T^20 - 
        45/49*T^19 + 33/49*T^18 - 8/49*T^17 + 8/49*T^15 - 33/49*T^14 + 45/49*T^13 - 
        5/7*T^12 + 18/49*T^11 - 18/49*T^10 + 15/49*T^9 - 20/49*T^8 + 30/49*T^7 - 
        30/49*T^6 - 1/7*T^5 + 15/49*T^4 + 4/49*T^3 - 2/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 
        5*X*Y^2 + 5*X*Y + 3*X + 5*Y^18 + 5*Y^17 + 2*Y^15 + 2*Y^14 + 2*Y^13 + 2*Y^12 
        + 4*Y^11 + Y^10 + 5*Y^9 + 2*Y^8 + Y^6 + 2*Y^3 + 4*Y^2 + 5*Y + 6,
    -T^32 - 12/7*T^31 - 67/49*T^30 + 54/49*T^29 + 188/49*T^28 + 207/49*T^27 + 
        81/49*T^26 - 103/49*T^25 - 212/49*T^24 - 20/7*T^23 - 12/49*T^22 + 
        100/49*T^21 + 87/49*T^20 - 1/7*T^19 - 78/49*T^18 - 12/7*T^17 + 12/7*T^15 + 
        78/49*T^14 + 1/7*T^13 - 87/49*T^12 - 100/49*T^11 + 12/49*T^10 + 20/7*T^9 + 
        212/49*T^8 + 103/49*T^7 - 81/49*T^6 - 207/49*T^5 - 188/49*T^4 - 54/49*T^3 + 
        67/49*T^2 + 12/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + X*Y^5 + 3*X*Y^4 + X*Y^3 + 2*X*Y^2 + 3*X*Y + 
        5*X + 3*Y^18 + 5*Y^17 + 2*Y^16 + 6*Y^15 + 6*Y^14 + 5*Y^13 + 4*Y^12 + 6*Y^11 
        + 3*Y^10 + Y^8 + 4*Y^6 + 2*Y^4 + 2*Y^3 + 2*Y^2 + 5*Y + 3,
    -T^32 + 3/7*T^31 + 59/49*T^30 - 26/49*T^29 + 25/49*T^28 - 2/7*T^27 - 74/49*T^26 
        + 26/49*T^25 + 27/49*T^24 + 12/49*T^23 + 24/49*T^22 - 38/49*T^21 - 2/49*T^20
        + 3/49*T^19 - 2/7*T^18 + 5/7*T^17 - 5/7*T^15 + 2/7*T^14 - 3/49*T^13 + 
        2/49*T^12 + 38/49*T^11 - 24/49*T^10 - 12/49*T^9 - 27/49*T^8 - 26/49*T^7 + 
        74/49*T^6 + 2/7*T^5 - 25/49*T^4 + 26/49*T^3 - 59/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + X*Y^5 + 4*X*Y^2 + 6*X*Y + 2*X + 
        6*Y^18 + 6*Y^16 + 5*Y^15 + 5*Y^14 + 4*Y^13 + 6*Y^12 + 3*Y^11 + 6*Y^9 + 2*Y^8
        + 5*Y^7 + 5*Y^6 + 6*Y^5 + 5*Y^4 + 6*Y^3 + 2*Y^2 + 5*Y + 4,
    T^32 - 5/7*T^31 + 19/49*T^30 + 4/7*T^29 - 100/49*T^28 + 47/49*T^27 - 16/49*T^26 
        - 47/49*T^25 + 89/49*T^24 - 43/49*T^23 + 22/49*T^22 + 54/49*T^21 - 
        80/49*T^20 + 52/49*T^19 - 11/49*T^18 - 65/49*T^17 + 74/49*T^16 - 65/49*T^15 
        - 11/49*T^14 + 52/49*T^13 - 80/49*T^12 + 54/49*T^11 + 22/49*T^10 - 43/49*T^9
        + 89/49*T^8 - 47/49*T^7 - 16/49*T^6 + 47/49*T^5 - 100/49*T^4 + 4/7*T^3 + 
        19/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + X*Y^2 
        + 3*X*Y + 6*X + 2*Y^18 + 6*Y^17 + 3*Y^16 + 3*Y^15 + 2*Y^14 + 2*Y^13 + Y^12 +
        2*Y^11 + 5*Y^10 + 5*Y^9 + 5*Y^7 + 4*Y^6 + 4*Y^5 + 4*Y^4 + Y^3 + 5*Y^2 + 2*Y 
        + 5,
    -T^32 - 6/7*T^31 + 8/49*T^30 + 33/49*T^29 + 11/49*T^28 + 17/49*T^27 + 27/49*T^26
        + 30/49*T^25 + 22/49*T^24 - 11/49*T^23 - 38/49*T^22 - 4/7*T^21 + 15/49*T^20 
        + 15/49*T^19 + 2/49*T^18 + 6/49*T^17 - 6/49*T^15 - 2/49*T^14 - 15/49*T^13 - 
        15/49*T^12 + 4/7*T^11 + 38/49*T^10 + 11/49*T^9 - 22/49*T^8 - 30/49*T^7 - 
        27/49*T^6 - 17/49*T^5 - 11/49*T^4 - 33/49*T^3 - 8/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^7 + X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + X*Y + X + 6*Y^18
        + 4*Y^15 + 3*Y^14 + 6*Y^13 + Y^12 + 3*Y^10 + 6*Y^9 + Y^8 + Y^7 + 4*Y^6 + 
        3*Y^5 + 5*Y^4 + 3*Y^3 + 3*Y^2 + 4*Y,
    T^32 - 8/7*T^31 + 2/7*T^30 + 29/49*T^29 - 5/7*T^28 + 39/49*T^27 - 72/49*T^26 + 
        39/49*T^25 + 3/7*T^24 - 5/7*T^23 - 9/49*T^22 - 25/49*T^21 + 10/7*T^20 - 
        30/49*T^19 - 33/49*T^18 + 6/7*T^17 + 6/7*T^15 - 33/49*T^14 - 30/49*T^13 + 
        10/7*T^12 - 25/49*T^11 - 9/49*T^10 - 5/7*T^9 + 3/7*T^8 + 39/49*T^7 - 
        72/49*T^6 + 39/49*T^5 - 5/7*T^4 + 29/49*T^3 + 2/7*T^2 - 8/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + 6*X*Y + X + 4*Y^18 + 4*Y^17 + Y^16 + 4*Y^15 + 2*Y^14 + 4*Y^13 + 
        5*Y^12 + Y^11 + 2*Y^10 + 2*Y^8 + 2*Y^7 + 2*Y^6 + 6*Y^5 + Y^3 + 3*Y^2 + 4*Y +
        1,
    -T^32 - 2*T^31 - 8/7*T^30 + 9/7*T^29 + 111/49*T^28 + 23/49*T^27 - 79/49*T^26 - 
        90/49*T^25 - 19/49*T^24 + 6/7*T^23 + 76/49*T^22 + 11/7*T^21 + 38/49*T^20 - 
        25/49*T^19 - 61/49*T^18 - 6/7*T^17 + 6/7*T^15 + 61/49*T^14 + 25/49*T^13 - 
        38/49*T^12 - 11/7*T^11 - 76/49*T^10 - 6/7*T^9 + 19/49*T^8 + 90/49*T^7 + 
        79/49*T^6 - 23/49*T^5 - 111/49*T^4 - 9/7*T^3 + 8/7*T^2 + 2*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + X*Y^3 + 5*X*Y^2 
        + 5*X*Y + 4*X + 2*Y^18 + 5*Y^17 + 3*Y^16 + Y^15 + Y^14 + 2*Y^13 + 2*Y^12 + 
        4*Y^11 + 3*Y^10 + 5*Y^9 + 5*Y^7 + 5*Y^5 + 2*Y^4 + 5*Y^3 + Y^2 + 6*Y + 6,
    -T^32 + 13/7*T^31 - 15/49*T^30 - 129/49*T^29 + 159/49*T^28 - 33/49*T^27 - 
        89/49*T^26 + 15/7*T^25 - 66/49*T^24 + 6/49*T^23 + 65/49*T^22 - 102/49*T^21 +
        52/49*T^20 + T^19 - 93/49*T^18 + 62/49*T^17 - 62/49*T^15 + 93/49*T^14 - T^13
        - 52/49*T^12 + 102/49*T^11 - 65/49*T^10 - 6/49*T^9 + 66/49*T^8 - 15/7*T^7 + 
        89/49*T^6 + 33/49*T^5 - 159/49*T^4 + 129/49*T^3 + 15/49*T^2 - 13/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + X*Y^5 + X*Y^4 + 2*X*Y^3 + 4*X*Y^2 
        + 4*X*Y + 5*X + 5*Y^18 + 3*Y^17 + 4*Y^16 + 4*Y^15 + 4*Y^14 + Y^13 + 2*Y^12 +
        2*Y^11 + 4*Y^10 + 6*Y^9 + 2*Y^8 + Y^7 + 5*Y^6 + 6*Y^5 + 5*Y^4 + 4*Y + 5,
    -T^32 - T^31 + 27/49*T^30 + 79/49*T^29 + 8/7*T^28 + 2/7*T^27 - 17/49*T^26 - 
        54/49*T^25 - 86/49*T^24 - 43/49*T^23 + 38/49*T^22 + 62/49*T^21 + 31/49*T^20 
        + 9/49*T^19 - 5/49*T^18 + 2/49*T^17 - 2/49*T^15 + 5/49*T^14 - 9/49*T^13 - 
        31/49*T^12 - 62/49*T^11 - 38/49*T^10 + 43/49*T^9 + 86/49*T^8 + 54/49*T^7 + 
        17/49*T^6 - 2/7*T^5 - 8/7*T^4 - 79/49*T^3 - 27/49*T^2 + T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + 4*X*Y^2 + 
        6*X*Y + 2*Y^18 + Y^15 + Y^14 + 6*Y^12 + Y^11 + Y^10 + 2*Y^9 + 3*Y^8 + 3*Y^7 
        + 5*Y^6 + 6*Y^5 + Y^3 + 4*Y^2 + 4*Y + 4,
    -T^32 - 2/7*T^31 + 24/49*T^30 + 38/49*T^29 + 43/49*T^28 + 3/49*T^27 - 34/49*T^26
        - 54/49*T^25 - 33/49*T^24 + 1/49*T^23 + 41/49*T^22 + 40/49*T^21 + 1/7*T^20 +
        3/49*T^19 - 40/49*T^18 - 15/49*T^17 + 15/49*T^15 + 40/49*T^14 - 3/49*T^13 - 
        1/7*T^12 - 40/49*T^11 - 41/49*T^10 - 1/49*T^9 + 33/49*T^8 + 54/49*T^7 + 
        34/49*T^6 - 3/49*T^5 - 43/49*T^4 - 38/49*T^3 - 24/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 2*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + X*Y + 5*Y^18 +
        4*Y^17 + 3*Y^16 + 6*Y^15 + 5*Y^14 + 6*Y^13 + 5*Y^12 + 4*Y^11 + 6*Y^10 + 
        5*Y^9 + Y^8 + 4*Y^7 + Y^6 + 5*Y^4 + 4*Y^3 + 3*Y^2 + 2*Y + 4,
    -T^32 - 10/7*T^31 - 17/49*T^30 + 39/49*T^29 + 66/49*T^28 + 99/49*T^27 + 
        76/49*T^26 - 34/49*T^25 - 12/7*T^24 - 41/49*T^23 + 11/49*T^22 + 25/49*T^21 +
        32/49*T^20 - 8/49*T^19 - 71/49*T^18 - 74/49*T^17 + 74/49*T^15 + 71/49*T^14 +
        8/49*T^13 - 32/49*T^12 - 25/49*T^11 - 11/49*T^10 + 41/49*T^9 + 12/7*T^8 + 
        34/49*T^7 - 76/49*T^6 - 99/49*T^5 - 66/49*T^4 - 39/49*T^3 + 17/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + X*Y^2 + 5*X + 4*Y^18 + 
        4*Y^17 + 2*Y^16 + Y^15 + 4*Y^14 + 4*Y^13 + 3*Y^12 + 3*Y^11 + 2*Y^10 + 2*Y^9 
        + 4*Y^8 + 5*Y^7 + 6*Y^6 + 4*Y^5 + Y^4 + Y^3 + 6*Y + 1,
    -T^32 - 8/7*T^31 + 3/49*T^30 + 44/49*T^29 + 2/7*T^28 - 2/7*T^27 - 9/49*T^26 + 
        3/49*T^25 + 15/49*T^24 + 24/49*T^23 + 24/49*T^22 + 3/7*T^21 + 4/7*T^20 + 
        29/49*T^19 - 1/7*T^18 - 33/49*T^17 + 33/49*T^15 + 1/7*T^14 - 29/49*T^13 - 
        4/7*T^12 - 3/7*T^11 - 24/49*T^10 - 24/49*T^9 - 15/49*T^8 - 3/49*T^7 + 
        9/49*T^6 + 2/7*T^5 - 2/7*T^4 - 44/49*T^3 - 3/49*T^2 + 8/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^7 + 5*X*Y^5 + X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 4*X*Y + 6*X + 
        6*Y^18 + 3*Y^16 + 5*Y^15 + 2*Y^12 + 3*Y^11 + 5*Y^10 + 6*Y^9 + 5*Y^8 + 4*Y^7 
        + Y^6 + 5*Y^5 + 4*Y^4 + 5*Y^3 + 2*Y^2 + 3*Y + 2,
    -T^32 - 12/7*T^31 - 74/49*T^30 - 46/49*T^29 - 6/49*T^28 + 53/49*T^27 + 
        85/49*T^26 + 64/49*T^25 + 8/7*T^24 + T^23 + 38/49*T^22 + 40/49*T^21 + 
        43/49*T^20 + 4/7*T^19 + 1/7*T^18 + 4/49*T^17 - 4/49*T^15 - 1/7*T^14 - 
        4/7*T^13 - 43/49*T^12 - 40/49*T^11 - 38/49*T^10 - T^9 - 8/7*T^8 - 64/49*T^7 
        - 85/49*T^6 - 53/49*T^5 + 6/49*T^4 + 46/49*T^3 + 74/49*T^2 + 12/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + X*Y^4 + X*Y^3 + X*Y^2 + 4*X*Y + 6*Y^18 + 
        2*Y^17 + 3*Y^16 + 5*Y^15 + Y^14 + 6*Y^13 + 6*Y^12 + 6*Y^11 + 3*Y^10 + 5*Y^7 
        + 4*Y^6 + Y^5 + 5*Y^3 + 2*Y^2 + 6*Y + 6,
    -T^32 + 2/7*T^31 - 36/49*T^30 - 37/49*T^29 + 5/49*T^28 - 3/7*T^27 + 6/49*T^26 - 
        15/49*T^25 + 2/49*T^24 + 4/49*T^23 - 12/49*T^22 - 8/49*T^21 - 27/49*T^19 + 
        20/49*T^18 - 30/49*T^17 + 30/49*T^15 - 20/49*T^14 + 27/49*T^13 + 8/49*T^11 +
        12/49*T^10 - 4/49*T^9 - 2/49*T^8 + 15/49*T^7 - 6/49*T^6 + 3/7*T^5 - 5/49*T^4
        + 37/49*T^3 + 36/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + X*Y^3 + 4*X*Y^2 
        + X*Y + 4*X + 3*Y^18 + 5*Y^17 + 6*Y^16 + Y^15 + 5*Y^14 + 3*Y^13 + 4*Y^12 + 
        6*Y^10 + Y^9 + 5*Y^8 + 3*Y^7 + 3*Y^6 + Y^5 + 3*Y^4 + 6*Y^3 + 5*Y^2 + 4*Y + 
        4,
    T^32 - T^31 + 4/49*T^30 + 10/7*T^29 - 82/49*T^28 + 30/49*T^27 + T^26 - 10/7*T^25
        + 40/49*T^24 + 19/49*T^23 - 55/49*T^22 + 55/49*T^21 - 9/49*T^20 - 29/49*T^19
        + 30/49*T^18 - 8/49*T^17 - 1/7*T^16 - 8/49*T^15 + 30/49*T^14 - 29/49*T^13 - 
        9/49*T^12 + 55/49*T^11 - 55/49*T^10 + 19/49*T^9 + 40/49*T^8 - 10/7*T^7 + T^6
        + 30/49*T^5 - 82/49*T^4 + 10/7*T^3 + 4/49*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + 2*Y^18
        + 2*Y^17 + 2*Y^16 + 4*Y^14 + 3*Y^13 + 2*Y^11 + 6*Y^10 + Y^9 + 4*Y^8 + 4*Y^7 
        + 2*Y^6 + Y^5 + 6*Y^4 + Y^3 + 5*Y^2 + Y + 2,
    T^32 + 8/7*T^31 + 78/49*T^30 + 38/49*T^29 + 6/7*T^28 + 8/49*T^27 + 41/49*T^26 + 
        24/49*T^25 + 29/49*T^24 - 10/49*T^23 - 33/49*T^22 - 47/49*T^21 - 64/49*T^20 
        - 30/49*T^19 - 51/49*T^18 - 17/49*T^17 - 57/49*T^16 - 17/49*T^15 - 
        51/49*T^14 - 30/49*T^13 - 64/49*T^12 - 47/49*T^11 - 33/49*T^10 - 10/49*T^9 +
        29/49*T^8 + 24/49*T^7 + 41/49*T^6 + 8/49*T^5 + 6/7*T^4 + 38/49*T^3 + 
        78/49*T^2 + 8/7*T + 1
*], [*
    X^3 + X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + X*Y^3 + 6*X*Y^2 + 3*X*Y + 
        X + 3*Y^18 + 4*Y^17 + 2*Y^16 + 3*Y^15 + 3*Y^14 + 6*Y^12 + Y^11 + 5*Y^10 + 
        3*Y^9 + 3*Y^8 + Y^7 + 4*Y^6 + Y^5 + 3*Y^4 + 5*Y^3 + 5*Y^2 + 2*Y + 1,
    T^32 - 2/7*T^31 - 8/49*T^30 + 60/49*T^29 - 33/49*T^28 + 1/49*T^27 + 3/49*T^26 + 
        1/7*T^25 + 2/49*T^24 - 41/49*T^23 + 41/49*T^22 - 6/49*T^21 - 6/49*T^20 - 
        5/49*T^19 + 13/49*T^18 + 33/49*T^17 - 48/49*T^16 + 33/49*T^15 + 13/49*T^14 -
        5/49*T^13 - 6/49*T^12 - 6/49*T^11 + 41/49*T^10 - 41/49*T^9 + 2/49*T^8 + 
        1/7*T^7 + 3/49*T^6 + 1/49*T^5 - 33/49*T^4 + 60/49*T^3 - 8/49*T^2 - 2/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + X*Y^6 + 6*X*Y^5 + 2*X*Y^3 + 4*X*Y^2 + 5*X*Y + X + 2*Y^18
        + 4*Y^17 + 5*Y^16 + 5*Y^15 + Y^14 + 3*Y^13 + Y^12 + 4*Y^11 + 6*Y^10 + 4*Y^9 
        + Y^8 + Y^7 + 6*Y^6 + Y^4 + 5*Y^3 + Y^2 + 2*Y + 4,
    T^32 - T^31 - 9/49*T^30 + 6/49*T^29 + 13/49*T^28 - 34/49*T^27 + 18/49*T^26 + 
        58/49*T^25 - 36/49*T^24 - 15/49*T^23 - 1/7*T^22 + 23/49*T^21 - 33/49*T^20 + 
        2/49*T^19 + 24/49*T^18 + 9/49*T^17 - 38/49*T^16 + 9/49*T^15 + 24/49*T^14 + 
        2/49*T^13 - 33/49*T^12 + 23/49*T^11 - 1/7*T^10 - 15/49*T^9 - 36/49*T^8 + 
        58/49*T^7 + 18/49*T^6 - 34/49*T^5 + 13/49*T^4 + 6/49*T^3 - 9/49*T^2 - T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 3*X*Y^5 + 5*X*Y^4 + 2*X*Y + 3*X + 4*Y^18 + 
        Y^17 + 6*Y^16 + 2*Y^15 + Y^14 + 5*Y^13 + Y^12 + 3*Y^11 + 2*Y^10 + Y^9 + 
        4*Y^8 + 6*Y^7 + 6*Y^5 + 4*Y^3 + 3*Y^2 + 2*Y + 3,
    -T^32 - 4/7*T^31 - 24/49*T^30 - 8/49*T^29 + 20/49*T^28 + 3/7*T^27 + 30/49*T^26 +
        3/49*T^25 + 8/49*T^24 - 23/49*T^23 - 17/49*T^22 - 1/7*T^21 - 5/49*T^20 + 
        29/49*T^19 + 30/49*T^18 + 4/7*T^17 - 4/7*T^15 - 30/49*T^14 - 29/49*T^13 + 
        5/49*T^12 + 1/7*T^11 + 17/49*T^10 + 23/49*T^9 - 8/49*T^8 - 3/49*T^7 - 
        30/49*T^6 - 3/7*T^5 - 20/49*T^4 + 8/49*T^3 + 24/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + X*Y^6 + 3*X*Y^5 + X*Y^3 + 2*X*Y^2 + 3*X + 
        6*Y^18 + 6*Y^17 + 6*Y^16 + 3*Y^15 + Y^14 + Y^13 + 6*Y^12 + 6*Y^11 + 3*Y^10 +
        2*Y^9 + 6*Y^8 + Y^6 + 6*Y^5 + 5*Y^4 + 3*Y^3 + 4*Y^2 + 3*Y + 1,
    T^32 + 18/49*T^29 - T^28 + 4/7*T^27 + 4/7*T^26 + 38/49*T^24 - 39/49*T^23 - 
        15/49*T^22 - 25/49*T^21 - 13/49*T^20 + 29/49*T^19 - 8/49*T^18 - 27/49*T^17 -
        4/7*T^16 - 27/49*T^15 - 8/49*T^14 + 29/49*T^13 - 13/49*T^12 - 25/49*T^11 - 
        15/49*T^10 - 39/49*T^9 + 38/49*T^8 + 4/7*T^6 + 4/7*T^5 - T^4 + 18/49*T^3 + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + X*Y^7 + 3*X*Y^6 + 5*X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + 2*X*Y + 
        5*Y^18 + 3*Y^17 + 4*Y^16 + 4*Y^15 + 2*Y^14 + 3*Y^13 + 2*Y^12 + 2*Y^10 + 
        2*Y^9 + 2*Y^8 + 3*Y^7 + 6*Y^6 + 2*Y^5 + 6*Y^3 + 2*Y^2 + 4*Y + 5,
    T^32 + 4/7*T^31 + 68/49*T^30 + 22/49*T^29 + 2/49*T^28 - 1/49*T^27 - 6/49*T^26 + 
        22/49*T^25 + 48/49*T^24 + T^23 + 16/49*T^22 - 6/49*T^21 - 48/49*T^20 - 
        18/49*T^19 + 1/49*T^18 + 60/49*T^17 + 53/49*T^16 + 60/49*T^15 + 1/49*T^14 - 
        18/49*T^13 - 48/49*T^12 - 6/49*T^11 + 16/49*T^10 + T^9 + 48/49*T^8 + 
        22/49*T^7 - 6/49*T^6 - 1/49*T^5 + 2/49*T^4 + 22/49*T^3 + 68/49*T^2 + 4/7*T +
        1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + X*Y^3 + 2*X*Y^2 
        + 2*X*Y + 3*X + Y^18 + 5*Y^17 + 6*Y^16 + 4*Y^15 + 3*Y^14 + 6*Y^13 + 2*Y^12 +
        2*Y^11 + Y^10 + 2*Y^8 + 5*Y^6 + 5*Y^5 + 2*Y^4 + 2*Y^3 + 5*Y^2 + Y + 3,
    T^32 - T^31 - 47/49*T^30 + 67/49*T^29 + 9/49*T^28 - 25/49*T^27 - 19/49*T^26 + 
        3/7*T^25 + 20/49*T^24 - 39/49*T^23 + 12/49*T^22 + 22/49*T^21 - 4/7*T^20 - 
        15/49*T^19 + 5/7*T^18 + 16/49*T^17 - 57/49*T^16 + 16/49*T^15 + 5/7*T^14 - 
        15/49*T^13 - 4/7*T^12 + 22/49*T^11 + 12/49*T^10 - 39/49*T^9 + 20/49*T^8 + 
        3/7*T^7 - 19/49*T^6 - 25/49*T^5 + 9/49*T^4 + 67/49*T^3 - 47/49*T^2 - T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + X*Y 
        + 3*X + 3*Y^18 + 2*Y^16 + 5*Y^15 + 2*Y^14 + Y^13 + 5*Y^12 + 2*Y^11 + 2*Y^10 
        + Y^9 + 2*Y^8 + 5*Y^7 + Y^6 + 2*Y^5 + 2*Y^4 + 3*Y^3 + 5*Y^2 + Y + 3,
    -T^32 + 4/7*T^31 - 6/49*T^30 + 11/49*T^29 - 18/49*T^28 + 3/7*T^27 - 11/49*T^26 +
        36/49*T^25 - 11/49*T^24 + 5/49*T^23 - 1/7*T^22 - 10/49*T^21 + 9/49*T^20 + 
        2/49*T^19 - 32/49*T^18 + 2/7*T^17 - 2/7*T^15 + 32/49*T^14 - 2/49*T^13 - 
        9/49*T^12 + 10/49*T^11 + 1/7*T^10 - 5/49*T^9 + 11/49*T^8 - 36/49*T^7 + 
        11/49*T^6 - 3/7*T^5 + 18/49*T^4 - 11/49*T^3 + 6/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + 5*X*Y 
        + 5*X + 6*Y^18 + 4*Y^17 + 6*Y^16 + 3*Y^15 + 4*Y^14 + 6*Y^13 + 5*Y^12 + 
        2*Y^11 + 6*Y^10 + 3*Y^9 + 3*Y^8 + 4*Y^7 + 3*Y^6 + 3*Y^5 + 5*Y^4 + 3*Y^3 + 
        2*Y,
    -T^32 - 4/7*T^31 - 15/49*T^30 + 1/49*T^29 + 15/49*T^28 + 17/49*T^27 + 11/49*T^26
        - 3/49*T^25 - 16/49*T^24 - 11/49*T^23 - 11/49*T^22 + 4/49*T^21 + 23/49*T^20 
        + 26/49*T^19 + 38/49*T^18 + 4/49*T^17 - 4/49*T^15 - 38/49*T^14 - 26/49*T^13 
        - 23/49*T^12 - 4/49*T^11 + 11/49*T^10 + 11/49*T^9 + 16/49*T^8 + 3/49*T^7 - 
        11/49*T^6 - 17/49*T^5 - 15/49*T^4 - 1/49*T^3 + 15/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 4*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 3*X*Y^2 + 
        2*X*Y + 6*X + 3*Y^18 + Y^17 + Y^16 + 2*Y^15 + Y^14 + 5*Y^13 + 4*Y^12 + 
        2*Y^11 + 6*Y^10 + 4*Y^9 + 2*Y^8 + 6*Y^7 + 5*Y^6 + 6*Y^5 + 6*Y^4 + 6*Y^2 + 
        3*Y + 5,
    T^32 + 1/7*T^31 - 20/49*T^30 + 52/49*T^29 - 33/49*T^28 - 24/49*T^27 + 33/49*T^26
        - T^25 - 15/49*T^24 + 10/49*T^23 - 50/49*T^22 - 4/49*T^21 + 20/49*T^20 - 
        31/49*T^19 + 31/49*T^18 + 41/49*T^17 - 25/49*T^16 + 41/49*T^15 + 31/49*T^14 
        - 31/49*T^13 + 20/49*T^12 - 4/49*T^11 - 50/49*T^10 + 10/49*T^9 - 15/49*T^8 -
        T^7 + 33/49*T^6 - 24/49*T^5 - 33/49*T^4 + 52/49*T^3 - 20/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 2*X*Y^3 + 5*X*Y^2 + 4*X + 2*Y^18 + 
        2*Y^17 + Y^16 + 3*Y^15 + 4*Y^14 + 3*Y^13 + 6*Y^12 + 2*Y^11 + 6*Y^10 + 5*Y^9 
        + 3*Y^8 + 5*Y^7 + 6*Y^6 + 4*Y^5 + 5*Y^4 + 6*Y^3 + 2*Y^2 + 5*Y + 3,
    T^32 + 6/7*T^31 + 6/49*T^30 - 6/49*T^29 - 6/49*T^28 - 3/49*T^27 - 24/49*T^26 - 
        60/49*T^25 - 55/49*T^24 - 36/49*T^23 - 27/49*T^22 - 1/49*T^21 + 3/49*T^20 + 
        2/7*T^19 + 30/49*T^18 + 58/49*T^17 + 68/49*T^16 + 58/49*T^15 + 30/49*T^14 + 
        2/7*T^13 + 3/49*T^12 - 1/49*T^11 - 27/49*T^10 - 36/49*T^9 - 55/49*T^8 - 
        60/49*T^7 - 24/49*T^6 - 3/49*T^5 - 6/49*T^4 - 6/49*T^3 + 6/49*T^2 + 6/7*T + 
        1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + X*Y^3 + 
        4*X*Y^2 + 3*X*Y + 3*Y^18 + 4*Y^17 + 6*Y^16 + 5*Y^15 + 3*Y^13 + 5*Y^12 + 
        5*Y^10 + 5*Y^9 + 5*Y^7 + 6*Y^5 + 3*Y^4 + 3*Y^3 + 3*Y^2 + 4*Y + 5,
    -T^32 + 8/7*T^31 + 8/49*T^30 - 39/49*T^29 + 25/49*T^28 + 23/49*T^27 - 30/49*T^26
        - 32/49*T^25 + 48/49*T^24 - 15/49*T^23 + 9/49*T^22 - 4/49*T^21 - 2/49*T^20 +
        5/49*T^19 - 11/49*T^18 - 1/7*T^17 + 1/7*T^15 + 11/49*T^14 - 5/49*T^13 + 
        2/49*T^12 + 4/49*T^11 - 9/49*T^10 + 15/49*T^9 - 48/49*T^8 + 32/49*T^7 + 
        30/49*T^6 - 23/49*T^5 - 25/49*T^4 + 39/49*T^3 - 8/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 2*X*Y^5 + X*Y^3 + X*Y^2 + 2*X*Y + 5*Y^18 + 
        5*Y^17 + 5*Y^16 + 5*Y^14 + 5*Y^13 + Y^12 + 4*Y^11 + 3*Y^10 + 6*Y^9 + 3*Y^8 +
        6*Y^7 + 3*Y^6 + 3*Y^5 + 2*Y^4 + 4*Y^3 + 6*Y^2 + 2*Y + 5,
    T^32 + 2/7*T^31 + 4/49*T^30 + 1/49*T^29 + 9/49*T^28 + 23/49*T^27 - 6/49*T^26 - 
        37/49*T^25 + 5/49*T^24 + 3/49*T^23 - 18/49*T^22 - 9/49*T^21 - 29/49*T^20 + 
        24/49*T^19 + 4/49*T^18 - 3/7*T^17 - 31/49*T^16 - 3/7*T^15 + 4/49*T^14 + 
        24/49*T^13 - 29/49*T^12 - 9/49*T^11 - 18/49*T^10 + 3/49*T^9 + 5/49*T^8 - 
        37/49*T^7 - 6/49*T^6 + 23/49*T^5 + 9/49*T^4 + 1/49*T^3 + 4/49*T^2 + 2/7*T + 
        1
*], [*
    X^3 + 4*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 4*X*Y^2 + X*Y + 2*X + 
        6*Y^18 + 3*Y^16 + 4*Y^15 + 3*Y^14 + Y^13 + 4*Y^12 + 2*Y^10 + 2*Y^8 + 2*Y^7 +
        4*Y^6 + 5*Y^5 + 4*Y^3 + 5*Y^2 + 6*Y,
    -T^32 - 4/7*T^31 + 20/49*T^30 + 6/7*T^29 + 48/49*T^28 - 4/49*T^27 - 71/49*T^26 -
        48/49*T^25 + 25/49*T^24 + 53/49*T^23 + 6/7*T^22 - T^21 - 68/49*T^20 - 
        22/49*T^19 + 6/7*T^18 + 74/49*T^17 - 74/49*T^15 - 6/7*T^14 + 22/49*T^13 + 
        68/49*T^12 + T^11 - 6/7*T^10 - 53/49*T^9 - 25/49*T^8 + 48/49*T^7 + 71/49*T^6
        + 4/49*T^5 - 48/49*T^4 - 6/7*T^3 - 20/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + X*Y^5 + 5*X*Y^4 + 6*X*Y^2 + 4*X*Y 
        + 2*X + 3*Y^18 + Y^15 + 3*Y^14 + Y^13 + Y^12 + 2*Y^11 + Y^10 + Y^8 + 3*Y^7 +
        3*Y^6 + 3*Y^4 + 5*Y^3 + Y^2 + 5*Y,
    T^32 - 5/7*T^31 + 34/49*T^30 - 9/49*T^29 - 50/49*T^28 + T^27 - 48/49*T^26 + 
        12/49*T^25 + 22/49*T^24 - 31/49*T^23 + 27/49*T^22 + 2/7*T^21 - 36/49*T^20 + 
        36/49*T^19 - 16/49*T^18 - 40/49*T^17 + 44/49*T^16 - 40/49*T^15 - 16/49*T^14 
        + 36/49*T^13 - 36/49*T^12 + 2/7*T^11 + 27/49*T^10 - 31/49*T^9 + 22/49*T^8 + 
        12/49*T^7 - 48/49*T^6 + T^5 - 50/49*T^4 - 9/49*T^3 + 34/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 4*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 3*X*Y + 5*X + 4*Y^18 + 5*Y^17 + 
        Y^16 + Y^15 + 2*Y^14 + Y^12 + 6*Y^11 + Y^10 + 2*Y^9 + 6*Y^7 + 2*Y^6 + Y^5 + 
        3*Y^4 + Y^2 + 2*Y + 4,
    T^32 + 12/7*T^31 - 17/49*T^30 - 113/49*T^29 - 25/49*T^28 + 54/49*T^27 - 
        75/49*T^26 - 130/49*T^25 + 13/7*T^24 + 179/49*T^23 - 18/49*T^22 - 75/49*T^21
        + 71/49*T^20 + 46/49*T^19 - 104/49*T^18 - 5/7*T^17 + 85/49*T^16 - 5/7*T^15 -
        104/49*T^14 + 46/49*T^13 + 71/49*T^12 - 75/49*T^11 - 18/49*T^10 + 179/49*T^9
        + 13/7*T^8 - 130/49*T^7 - 75/49*T^6 + 54/49*T^5 - 25/49*T^4 - 113/49*T^3 - 
        17/49*T^2 + 12/7*T + 1
*], [*
    X^3 + X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 5*X*Y 
        + 3*Y^18 + 4*Y^17 + 4*Y^16 + 4*Y^14 + 4*Y^12 + Y^10 + Y^8 + 6*Y^6 + 2*Y^5 + 
        5*Y^4 + 3*Y^3 + 5*Y + 1,
    T^32 - 2/7*T^31 - 43/49*T^30 + 40/49*T^29 + 29/49*T^28 - 52/49*T^26 + 8/49*T^25 
        + 66/49*T^24 - 20/49*T^23 - 29/49*T^22 + 5/49*T^21 + 3/7*T^20 + 9/49*T^19 - 
        32/49*T^18 - 8/49*T^17 + 23/49*T^16 - 8/49*T^15 - 32/49*T^14 + 9/49*T^13 + 
        3/7*T^12 + 5/49*T^11 - 29/49*T^10 - 20/49*T^9 + 66/49*T^8 + 8/49*T^7 - 
        52/49*T^6 + 29/49*T^4 + 40/49*T^3 - 43/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 3*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + X*Y 
        + X + 4*Y^18 + 4*Y^17 + 2*Y^16 + 2*Y^15 + 2*Y^14 + 5*Y^12 + Y^11 + 3*Y^10 + 
        6*Y^8 + 4*Y^7 + 6*Y^6 + Y^5 + 6*Y^4 + 6*Y^3 + 2*Y^2 + 3*Y + 4,
    T^32 + 9/7*T^31 - 17/49*T^30 - 62/49*T^29 - 9/7*T^28 - 52/49*T^27 - 19/49*T^26 +
        10/49*T^25 + 60/49*T^24 + 81/49*T^23 + 1/49*T^22 - 36/49*T^21 - 3/7*T^20 - 
        8/7*T^19 - 29/49*T^18 + 52/49*T^17 + 82/49*T^16 + 52/49*T^15 - 29/49*T^14 - 
        8/7*T^13 - 3/7*T^12 - 36/49*T^11 + 1/49*T^10 + 81/49*T^9 + 60/49*T^8 + 
        10/49*T^7 - 19/49*T^6 - 52/49*T^5 - 9/7*T^4 - 62/49*T^3 - 17/49*T^2 + 9/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + X*Y^3 + X*Y^2 + 4*X*Y + 
        5*X + 2*Y^18 + Y^17 + 6*Y^16 + Y^15 + 3*Y^14 + Y^13 + 6*Y^12 + 2*Y^11 + 
        5*Y^9 + 5*Y^8 + 4*Y^7 + 2*Y^6 + 3*Y^5 + 4*Y^4 + 5*Y^3 + 4*Y^2 + 2,
    -T^32 + 3/7*T^31 + 38/49*T^30 - 27/49*T^29 - 27/49*T^28 + 26/49*T^27 + 8/49*T^26
        - 3/49*T^25 - 9/49*T^24 - 33/49*T^23 + 22/49*T^22 + 45/49*T^21 - 41/49*T^20 
        - 5/7*T^19 + 53/49*T^18 + 16/49*T^17 - 16/49*T^15 - 53/49*T^14 + 5/7*T^13 + 
        41/49*T^12 - 45/49*T^11 - 22/49*T^10 + 33/49*T^9 + 9/49*T^8 + 3/49*T^7 - 
        8/49*T^6 - 26/49*T^5 + 27/49*T^4 + 27/49*T^3 - 38/49*T^2 - 3/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + X*Y^2 + 
        3*X*Y + 2*Y^18 + 3*Y^17 + 6*Y^16 + 5*Y^14 + 6*Y^12 + 3*Y^10 + Y^8 + 3*Y^7 + 
        6*Y^5 + 5*Y^4 + 4*Y^3 + 6*Y^2 + 3*Y + 4,
    T^32 + 10/7*T^31 + 6/7*T^30 + 29/49*T^29 + 15/49*T^28 - 45/49*T^27 - 46/49*T^26 
        + 6/49*T^25 + 25/49*T^24 + 31/49*T^23 + 54/49*T^22 + 37/49*T^21 - 1/7*T^20 +
        1/49*T^19 + 2/49*T^18 + 2/7*T^17 + 22/49*T^16 + 2/7*T^15 + 2/49*T^14 + 
        1/49*T^13 - 1/7*T^12 + 37/49*T^11 + 54/49*T^10 + 31/49*T^9 + 25/49*T^8 + 
        6/49*T^7 - 46/49*T^6 - 45/49*T^5 + 15/49*T^4 + 29/49*T^3 + 6/7*T^2 + 10/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + X*Y^7 + 2*X*Y^6 + 6*X*Y^4 + 6*X*Y^3 + X*Y^2 + 5*X*Y + 
        3*X + 4*Y^18 + Y^17 + 6*Y^16 + 5*Y^15 + 3*Y^14 + 3*Y^12 + 5*Y^11 + 5*Y^10 + 
        6*Y^9 + 3*Y^8 + 4*Y^6 + Y^5 + Y^2 + 6,
    -T^32 - T^31 - 45/49*T^30 + 20/49*T^29 + 92/49*T^28 + 121/49*T^27 + 86/49*T^26 -
        17/49*T^25 - 83/49*T^24 - 111/49*T^23 - 10/7*T^22 - 11/49*T^21 + 30/49*T^20 
        + 44/49*T^19 + 23/49*T^18 + 3/7*T^17 - 3/7*T^15 - 23/49*T^14 - 44/49*T^13 - 
        30/49*T^12 + 11/49*T^11 + 10/7*T^10 + 111/49*T^9 + 83/49*T^8 + 17/49*T^7 - 
        86/49*T^6 - 121/49*T^5 - 92/49*T^4 - 20/49*T^3 + 45/49*T^2 + T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + X*Y^5 + 3*X*Y^4 + X*Y^2 + 3*X*Y + 
        4*X + Y^18 + 6*Y^17 + 4*Y^15 + 5*Y^14 + 4*Y^13 + Y^12 + 2*Y^11 + 3*Y^10 + 
        5*Y^9 + 4*Y^8 + 5*Y^7 + 2*Y^4 + 4*Y^3 + 3*Y^2 + 5*Y + 3,
    -T^32 + 3/7*T^31 - 3/7*T^30 - 15/49*T^29 + 10/7*T^28 - 60/49*T^27 + 47/49*T^26 +
        3/49*T^25 - 20/49*T^24 + T^23 - 20/49*T^22 + 32/49*T^21 - 19/49*T^20 + 
        1/49*T^19 - 2/7*T^18 - 5/49*T^17 + 5/49*T^15 + 2/7*T^14 - 1/49*T^13 + 
        19/49*T^12 - 32/49*T^11 + 20/49*T^10 - T^9 + 20/49*T^8 - 3/49*T^7 - 
        47/49*T^6 + 60/49*T^5 - 10/7*T^4 + 15/49*T^3 + 3/7*T^2 - 3/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 4*X*Y^2 
        + 4*X*Y + 2*X + 6*Y^18 + Y^17 + 3*Y^16 + 5*Y^14 + 5*Y^13 + 4*Y^12 + 3*Y^10 +
        4*Y^9 + 5*Y^8 + 5*Y^7 + 4*Y^6 + 4*Y^5 + 4*Y^4 + 2*Y^3 + 2*Y + 6,
    -T^32 + 3/7*T^31 + 8/49*T^30 + 3/49*T^29 + 12/49*T^28 - 1/7*T^27 - 27/49*T^26 + 
        1/49*T^25 + 10/49*T^24 - 22/49*T^23 + T^22 - 20/49*T^21 + 5/49*T^20 - 
        18/49*T^19 - 5/49*T^18 - 10/49*T^17 + 10/49*T^15 + 5/49*T^14 + 18/49*T^13 - 
        5/49*T^12 + 20/49*T^11 - T^10 + 22/49*T^9 - 10/49*T^8 - 1/49*T^7 + 27/49*T^6
        + 1/7*T^5 - 12/49*T^4 - 3/49*T^3 - 8/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + X*Y^7 + X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + X*Y^3 + 2*X*Y^2 + 
        6*X*Y + 5*X + 6*Y^18 + 4*Y^16 + Y^15 + Y^14 + Y^12 + 3*Y^11 + 4*Y^10 + Y^9 +
        5*Y^8 + 5*Y^7 + 6*Y^6 + 4*Y^5 + 5*Y^4 + 6*Y^3 + 6*Y^2 + 5*Y + 6,
    T^32 + T^31 + 12/49*T^30 - 1/7*T^29 - 3/49*T^28 - 8/49*T^27 - 3/49*T^26 + 
        26/49*T^25 + 16/49*T^24 - 2/7*T^23 - 3/7*T^22 + 3/49*T^21 + 2/7*T^20 + 
        24/49*T^19 + 10/49*T^18 - 1/49*T^17 - 3/49*T^16 - 1/49*T^15 + 10/49*T^14 + 
        24/49*T^13 + 2/7*T^12 + 3/49*T^11 - 3/7*T^10 - 2/7*T^9 + 16/49*T^8 + 
        26/49*T^7 - 3/49*T^6 - 8/49*T^5 - 3/49*T^4 - 1/7*T^3 + 12/49*T^2 + T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 3*X*Y^6 + 4*X*Y^5 + X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + 6*X + 
        5*Y^18 + 2*Y^16 + 4*Y^14 + Y^13 + 3*Y^12 + 4*Y^11 + 2*Y^9 + 3*Y^7 + 6*Y^6 + 
        Y^4 + 6*Y^3 + 4,
    -T^32 + 13/7*T^31 + 13/49*T^30 - 94/49*T^29 + 9/49*T^28 + 6/7*T^27 - 8/49*T^26 -
        1/7*T^25 + 5/49*T^24 + 2/49*T^23 + 24/49*T^22 - 23/49*T^21 - 67/49*T^20 + 
        68/49*T^19 + 37/49*T^18 - 61/49*T^17 + 61/49*T^15 - 37/49*T^14 - 68/49*T^13 
        + 67/49*T^12 + 23/49*T^11 - 24/49*T^10 - 2/49*T^9 - 5/49*T^8 + 1/7*T^7 + 
        8/49*T^6 - 6/7*T^5 - 9/49*T^4 + 94/49*T^3 - 13/49*T^2 - 13/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        3*X*Y^2 + 3*X*Y + 2*X + 4*Y^18 + 4*Y^16 + 2*Y^15 + 4*Y^14 + Y^13 + 5*Y^12 + 
        5*Y^11 + 2*Y^10 + 2*Y^9 + 4*Y^8 + 3*Y^7 + 6*Y^6 + 4*Y^5 + 2*Y^4 + 3*Y^3 + 
        Y^2 + 5*Y + 1,
    T^32 + 9/7*T^31 + 80/49*T^30 + 64/49*T^29 + 17/49*T^28 - 10/49*T^27 - 10/7*T^26 
        - 76/49*T^25 - 71/49*T^24 - 39/49*T^23 + 10/49*T^22 + 6/7*T^21 + 57/49*T^20 
        + 41/49*T^19 + 10/49*T^18 - 40/49*T^17 - 58/49*T^16 - 40/49*T^15 + 
        10/49*T^14 + 41/49*T^13 + 57/49*T^12 + 6/7*T^11 + 10/49*T^10 - 39/49*T^9 - 
        71/49*T^8 - 76/49*T^7 - 10/7*T^6 - 10/49*T^5 + 17/49*T^4 + 64/49*T^3 + 
        80/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 4*X*Y^2 + 4*X*Y 
        + 4*X + 4*Y^18 + 3*Y^17 + 3*Y^16 + Y^14 + Y^13 + 2*Y^12 + 3*Y^11 + Y^10 + 
        4*Y^9 + 2*Y^8 + 4*Y^7 + Y^5 + 2*Y^4 + 5*Y^3 + 6*Y^2 + 2*Y + 1,
    -T^32 - 1/7*T^31 + 23/49*T^30 + 1/7*T^29 - 33/49*T^28 - 9/49*T^27 + 25/49*T^26 +
        13/49*T^25 + 9/49*T^24 + 6/49*T^23 - 17/49*T^22 - 2/7*T^21 + 43/49*T^20 + 
        27/49*T^19 - 6/49*T^18 - 30/49*T^17 + 30/49*T^15 + 6/49*T^14 - 27/49*T^13 - 
        43/49*T^12 + 2/7*T^11 + 17/49*T^10 - 6/49*T^9 - 9/49*T^8 - 13/49*T^7 - 
        25/49*T^6 + 9/49*T^5 + 33/49*T^4 - 1/7*T^3 - 23/49*T^2 + 1/7*T + 1
*], [*
    X^3 + X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 6*X*Y^2 + 3*X*Y + 4*X + 4*Y^18 + 
        6*Y^17 + 5*Y^16 + 4*Y^15 + Y^14 + 5*Y^13 + 2*Y^12 + 3*Y^11 + Y^10 + 2*Y^9 + 
        5*Y^8 + 4*Y^6 + Y^5 + 2*Y^4 + 4*Y^3 + 2*Y^2 + 3*Y,
    T^32 + 3/7*T^31 + 20/49*T^30 + 13/49*T^29 + 15/49*T^28 + 22/49*T^27 + 2/7*T^26 -
        15/49*T^25 - 16/49*T^24 + 2/49*T^23 - 23/49*T^22 - 8/49*T^21 - 16/49*T^20 - 
        2/49*T^19 - 1/49*T^18 - 1/49*T^17 - 4/49*T^16 - 1/49*T^15 - 1/49*T^14 - 
        2/49*T^13 - 16/49*T^12 - 8/49*T^11 - 23/49*T^10 + 2/49*T^9 - 16/49*T^8 - 
        15/49*T^7 + 2/7*T^6 + 22/49*T^5 + 15/49*T^4 + 13/49*T^3 + 20/49*T^2 + 3/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        X*Y^2 + 2*X*Y + 2*X + 2*Y^18 + 3*Y^17 + 6*Y^16 + 6*Y^14 + 5*Y^13 + 3*Y^12 + 
        2*Y^11 + Y^10 + 3*Y^9 + 6*Y^8 + 3*Y^7 + 2*Y^6 + 6*Y^5 + 4*Y^4 + 6*Y^3 + 
        6*Y^2 + 3,
    T^32 - 1/7*T^31 - 41/49*T^30 + 73/49*T^29 - 41/49*T^28 - 10/49*T^27 + 92/49*T^26
        - 79/49*T^25 + 44/49*T^24 + 57/49*T^23 - 66/49*T^22 + 50/49*T^21 - 2/7*T^20 
        - 15/49*T^19 + 3/7*T^18 - 6/49*T^17 + 6/7*T^16 - 6/49*T^15 + 3/7*T^14 - 
        15/49*T^13 - 2/7*T^12 + 50/49*T^11 - 66/49*T^10 + 57/49*T^9 + 44/49*T^8 - 
        79/49*T^7 + 92/49*T^6 - 10/49*T^5 - 41/49*T^4 + 73/49*T^3 - 41/49*T^2 - 
        1/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 2*X*Y^3 + 5*X*Y^2 + 6*X + 4*Y^18 + 
        3*Y^17 + 3*Y^16 + 5*Y^15 + 2*Y^14 + Y^12 + 5*Y^11 + 3*Y^10 + 2*Y^9 + 4*Y^8 +
        2*Y^7 + Y^6 + 6*Y^5 + 6*Y^2 + 4*Y + 3,
    T^32 + 8/7*T^31 + 23/49*T^30 - 26/49*T^29 - 39/49*T^28 - 30/49*T^27 - 5/7*T^26 -
        2/7*T^25 - 27/49*T^24 - 48/49*T^23 - 40/49*T^22 - 3/7*T^21 - 1/7*T^20 + 
        5/49*T^19 + 41/49*T^18 + 78/49*T^17 + 79/49*T^16 + 78/49*T^15 + 41/49*T^14 +
        5/49*T^13 - 1/7*T^12 - 3/7*T^11 - 40/49*T^10 - 48/49*T^9 - 27/49*T^8 - 
        2/7*T^7 - 5/7*T^6 - 30/49*T^5 - 39/49*T^4 - 26/49*T^3 + 23/49*T^2 + 8/7*T + 
        1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + X*Y^6 + X*Y^5 + 2*X*Y^3 + 5*X*Y^2 + 4*X + 
        5*Y^18 + 5*Y^17 + Y^16 + 6*Y^15 + 5*Y^13 + 4*Y^12 + 6*Y^11 + Y^10 + 2*Y^9 + 
        3*Y^8 + 6*Y^7 + Y^6 + 5*Y^5 + 2*Y^4 + 6*Y^3 + 2*Y + 4,
    T^32 - 1/7*T^31 + 4/7*T^30 - 15/49*T^29 - 5/7*T^28 - 2/49*T^27 - 1/7*T^26 - 
        6/49*T^25 + 33/49*T^24 - 37/49*T^23 - 10/49*T^21 + 2/49*T^20 + 17/49*T^19 + 
        9/49*T^18 - 3/7*T^17 + 4/49*T^16 - 3/7*T^15 + 9/49*T^14 + 17/49*T^13 + 
        2/49*T^12 - 10/49*T^11 - 37/49*T^9 + 33/49*T^8 - 6/49*T^7 - 1/7*T^6 - 
        2/49*T^5 - 5/7*T^4 - 15/49*T^3 + 4/7*T^2 - 1/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + X*Y 
        + 4*X + Y^18 + 4*Y^17 + 2*Y^16 + 2*Y^15 + 3*Y^14 + Y^13 + 4*Y^12 + 2*Y^10 + 
        4*Y^9 + 3*Y^8 + 2*Y^6 + 6*Y^5 + 4*Y^4 + 3*Y^2 + 6*Y + 1,
    -T^32 - 3/7*T^31 + 3/49*T^30 + 11/49*T^29 + 48/49*T^28 + 23/49*T^27 + 34/49*T^26
        + 45/49*T^25 + 9/49*T^24 - 2/7*T^23 - 32/49*T^22 - 47/49*T^21 - 19/49*T^20 -
        32/49*T^19 - 6/7*T^18 - 26/49*T^17 + 26/49*T^15 + 6/7*T^14 + 32/49*T^13 + 
        19/49*T^12 + 47/49*T^11 + 32/49*T^10 + 2/7*T^9 - 9/49*T^8 - 45/49*T^7 - 
        34/49*T^6 - 23/49*T^5 - 48/49*T^4 - 11/49*T^3 - 3/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 2*X*Y^4 + 5*X*Y^3 + 5*X*Y^2 + 
        3*X*Y + 2*Y^18 + 2*Y^17 + 5*Y^16 + 4*Y^15 + 5*Y^14 + 4*Y^12 + Y^11 + 2*Y^10 
        + 4*Y^7 + Y^6 + 6*Y^5 + Y^3 + 4*Y^2 + 6*Y + 3,
    -T^32 + 1/7*T^31 + 20/49*T^30 - 2/49*T^29 - 16/49*T^28 - 31/49*T^27 + 3/49*T^26 
        - 3/7*T^25 - 13/49*T^24 + 9/49*T^23 - 3/7*T^22 - 1/49*T^21 - 1/49*T^20 + 
        20/49*T^19 - 26/49*T^18 - 43/49*T^17 + 43/49*T^15 + 26/49*T^14 - 20/49*T^13 
        + 1/49*T^12 + 1/49*T^11 + 3/7*T^10 - 9/49*T^9 + 13/49*T^8 + 3/7*T^7 - 
        3/49*T^6 + 31/49*T^5 + 16/49*T^4 + 2/49*T^3 - 20/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 
        6*X*Y^2 + X*Y + 2*X + Y^18 + 5*Y^17 + 4*Y^15 + 5*Y^14 + 5*Y^13 + 3*Y^12 + 
        5*Y^10 + 2*Y^9 + 6*Y^8 + 2*Y^7 + 5*Y^6 + 4*Y^4 + 2*Y^3 + 6*Y^2 + 3*Y + 1,
    -T^32 + 3/7*T^31 - 9/49*T^30 + 13/49*T^29 - 45/49*T^28 + 27/49*T^27 + 4/7*T^26 +
        19/49*T^25 + 2/49*T^24 - 3/7*T^23 + 52/49*T^22 - 11/49*T^21 + 4/49*T^20 - 
        T^19 + 19/49*T^18 - 3/49*T^17 + 3/49*T^15 - 19/49*T^14 + T^13 - 4/49*T^12 + 
        11/49*T^11 - 52/49*T^10 + 3/7*T^9 - 2/49*T^8 - 19/49*T^7 - 4/7*T^6 - 
        27/49*T^5 + 45/49*T^4 - 13/49*T^3 + 9/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^6 + 4*X*Y^5 + 2*X*Y^3 + 4*X*Y + 5*X + 5*Y^18 + 
        5*Y^17 + 5*Y^16 + 5*Y^14 + 5*Y^13 + 6*Y^12 + 4*Y^11 + 3*Y^10 + 2*Y^9 + 3*Y^8
        + 5*Y^6 + 3*Y^5 + 3*Y^4 + 5*Y^3 + 2*Y + 5,
    T^32 - 5/7*T^31 - 47/49*T^30 + 64/49*T^29 + 3/7*T^28 - 89/49*T^27 + 16/49*T^26 +
        62/49*T^25 - 16/49*T^24 - 74/49*T^23 + 32/49*T^22 + 90/49*T^21 - 73/49*T^20 
        - 61/49*T^19 + 101/49*T^18 + 23/49*T^17 - 125/49*T^16 + 23/49*T^15 + 
        101/49*T^14 - 61/49*T^13 - 73/49*T^12 + 90/49*T^11 + 32/49*T^10 - 74/49*T^9 
        - 16/49*T^8 + 62/49*T^7 + 16/49*T^6 - 89/49*T^5 + 3/7*T^4 + 64/49*T^3 - 
        47/49*T^2 - 5/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + X*Y^3 + 5*X*Y^2 
        + 5*X*Y + X + 5*Y^18 + 3*Y^17 + 2*Y^16 + 6*Y^15 + 2*Y^14 + 4*Y^13 + 5*Y^12 +
        5*Y^11 + 4*Y^9 + Y^7 + 6*Y^6 + 5*Y^5 + 6*Y^2 + 2*Y,
    -T^32 - 2/7*T^31 + 50/49*T^30 + 38/49*T^29 - 11/49*T^28 - 27/49*T^27 + 4/7*T^26 
        + 40/49*T^25 - 4/7*T^24 - 27/49*T^23 + 1/49*T^22 + 6/49*T^21 - 5/49*T^20 - 
        26/49*T^19 - 6/49*T^18 + 6/49*T^17 - 6/49*T^15 + 6/49*T^14 + 26/49*T^13 + 
        5/49*T^12 - 6/49*T^11 - 1/49*T^10 + 27/49*T^9 + 4/7*T^8 - 40/49*T^7 - 
        4/7*T^6 + 27/49*T^5 + 11/49*T^4 - 38/49*T^3 - 50/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^7 + 4*X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + X*Y^2 + 3*X*Y + 2*X + 
        3*Y^18 + 6*Y^17 + 2*Y^16 + Y^15 + 5*Y^14 + 4*Y^13 + 4*Y^12 + 5*Y^11 + 4*Y^10
        + 2*Y^9 + 2*Y^8 + 6*Y^7 + 6*Y^6 + 5*Y^5 + 3*Y^4 + 5*Y^3 + 2*Y + 3,
    -T^32 + 9/7*T^31 - 57/49*T^30 + 52/49*T^29 - 53/49*T^28 + 58/49*T^27 - 
        50/49*T^26 + 38/49*T^25 - 19/49*T^24 + 15/49*T^23 - 10/49*T^22 + 10/49*T^21 
        - 5/49*T^20 - 12/49*T^19 + 1/7*T^18 - 8/49*T^17 + 8/49*T^15 - 1/7*T^14 + 
        12/49*T^13 + 5/49*T^12 - 10/49*T^11 + 10/49*T^10 - 15/49*T^9 + 19/49*T^8 - 
        38/49*T^7 + 50/49*T^6 - 58/49*T^5 + 53/49*T^4 - 52/49*T^3 + 57/49*T^2 - 
        9/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 5*X*Y^5 + X*Y^4 + X*Y^3 + 6*X*Y^2 + 4*X*Y + 
        3*X + 5*Y^18 + 4*Y^17 + 6*Y^16 + Y^15 + 3*Y^14 + 5*Y^13 + 4*Y^12 + 3*Y^11 + 
        5*Y^10 + 6*Y^8 + 3*Y^7 + 4*Y^6 + 5*Y^4 + 4*Y^3 + 5*Y^2 + 2*Y + 2,
    T^32 + 4/7*T^31 - 24/49*T^30 + 22/49*T^29 + 25/49*T^28 - 37/49*T^27 - 3/49*T^26 
        + 4/7*T^25 - 61/49*T^24 - 54/49*T^23 + 13/49*T^22 - 18/49*T^21 - 25/49*T^20 
        + 31/49*T^19 + 10/49*T^18 + 48/49*T^16 + 10/49*T^14 + 31/49*T^13 - 
        25/49*T^12 - 18/49*T^11 + 13/49*T^10 - 54/49*T^9 - 61/49*T^8 + 4/7*T^7 - 
        3/49*T^6 - 37/49*T^5 + 25/49*T^4 + 22/49*T^3 - 24/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 
        3*X*Y^2 + 6*X*Y + 2*X + 3*Y^18 + 5*Y^17 + 2*Y^15 + Y^14 + 4*Y^13 + 4*Y^12 + 
        Y^11 + Y^10 + 5*Y^9 + Y^8 + 3*Y^7 + 5*Y^6 + 5*Y^5 + 4*Y^4 + 4*Y^3 + 5*Y^2 + 
        2*Y + 1,
    T^32 - 6/7*T^31 + T^30 - 3/7*T^29 - 2/7*T^28 + 16/49*T^27 - 15/49*T^26 - 
        34/49*T^25 + 11/49*T^24 - 25/49*T^23 - 12/49*T^22 + 3/7*T^21 - 4/7*T^20 + 
        31/49*T^19 + 1/49*T^18 + 18/49*T^17 + 15/49*T^16 + 18/49*T^15 + 1/49*T^14 + 
        31/49*T^13 - 4/7*T^12 + 3/7*T^11 - 12/49*T^10 - 25/49*T^9 + 11/49*T^8 - 
        34/49*T^7 - 15/49*T^6 + 16/49*T^5 - 2/7*T^4 - 3/7*T^3 + T^2 - 6/7*T + 1
*], [*
    X^3 + 5*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 2*X + 4*Y^18 +
        3*Y^17 + 6*Y^15 + 3*Y^14 + 5*Y^13 + 2*Y^12 + 6*Y^11 + 2*Y^10 + 3*Y^9 + 6*Y^8
        + 3*Y^7 + 2*Y^6 + 4*Y^5 + 3*Y^4 + 6*Y^3 + Y^2 + 4*Y + 1,
    -T^32 - 9/7*T^31 - 17/49*T^30 + 11/49*T^29 + 47/49*T^28 + 10/7*T^27 + 57/49*T^26
        + 53/49*T^25 + 48/49*T^24 + 13/49*T^23 - 20/49*T^22 - 59/49*T^21 - 
        83/49*T^20 - 68/49*T^19 - 62/49*T^18 - 50/49*T^17 + 50/49*T^15 + 62/49*T^14 
        + 68/49*T^13 + 83/49*T^12 + 59/49*T^11 + 20/49*T^10 - 13/49*T^9 - 48/49*T^8 
        - 53/49*T^7 - 57/49*T^6 - 10/7*T^5 - 47/49*T^4 - 11/49*T^3 + 17/49*T^2 + 
        9/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + X*Y^6 + 6*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 4*X*Y + 6*X + 
        2*Y^18 + 2*Y^16 + 5*Y^15 + 3*Y^14 + Y^13 + Y^12 + 3*Y^10 + 6*Y^8 + 5*Y^6 + 
        5*Y^5 + 2*Y^4 + 2*Y^3 + 4*Y^2 + 3*Y + 6,
    -T^32 - 3/7*T^31 - 1/7*T^30 - 3/7*T^29 + 17/49*T^28 + 11/7*T^27 + 23/49*T^26 + 
        16/49*T^25 + 22/49*T^24 - 32/49*T^23 - 9/7*T^22 - 13/49*T^21 + 10/49*T^20 + 
        6/49*T^19 + 30/49*T^18 + 6/7*T^17 - 6/7*T^15 - 30/49*T^14 - 6/49*T^13 - 
        10/49*T^12 + 13/49*T^11 + 9/7*T^10 + 32/49*T^9 - 22/49*T^8 - 16/49*T^7 - 
        23/49*T^6 - 11/7*T^5 - 17/49*T^4 + 3/7*T^3 + 1/7*T^2 + 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + X*Y^6 + 3*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 4*X*Y 
        + 3*X + 5*Y^18 + 3*Y^17 + 5*Y^16 + Y^15 + 3*Y^14 + 4*Y^11 + 3*Y^10 + 4*Y^9 +
        3*Y^8 + Y^6 + 6*Y^5 + 2*Y^4 + 3*Y^2 + 6*Y + 5,
    -T^32 - 11/7*T^31 - 10/7*T^30 - 32/49*T^29 - 1/49*T^28 - 8/49*T^27 - 18/49*T^26 
        + 24/49*T^25 + 9/7*T^24 + 15/7*T^23 + 99/49*T^22 + 62/49*T^21 + 44/49*T^20 +
        48/49*T^19 + 55/49*T^18 + 6/7*T^17 - 6/7*T^15 - 55/49*T^14 - 48/49*T^13 - 
        44/49*T^12 - 62/49*T^11 - 99/49*T^10 - 15/7*T^9 - 9/7*T^8 - 24/49*T^7 + 
        18/49*T^6 + 8/49*T^5 + 1/49*T^4 + 32/49*T^3 + 10/7*T^2 + 11/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 4*X*Y^2 + 
        3*X*Y + 3*X + Y^18 + 4*Y^16 + 4*Y^15 + 5*Y^14 + 4*Y^13 + 3*Y^12 + 3*Y^11 + 
        Y^9 + 6*Y^8 + 4*Y^7 + 6*Y^6 + 3*Y^5 + 2*Y^4 + 2*Y^3 + 2*Y^2 + 4*Y,
    T^32 - 6/7*T^31 - 58/49*T^30 + 38/49*T^29 + 48/49*T^28 + 2/49*T^27 - 66/49*T^26 
        - 8/49*T^25 + 24/49*T^24 + 53/49*T^23 + 1/49*T^22 - T^21 - 36/49*T^20 + 
        10/49*T^19 + 13/7*T^18 - 5/49*T^17 - 104/49*T^16 - 5/49*T^15 + 13/7*T^14 + 
        10/49*T^13 - 36/49*T^12 - T^11 + 1/49*T^10 + 53/49*T^9 + 24/49*T^8 - 
        8/49*T^7 - 66/49*T^6 + 2/49*T^5 + 48/49*T^4 + 38/49*T^3 - 58/49*T^2 - 6/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 4*X*Y^5 + X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + 6*Y^18
        + Y^17 + 4*Y^15 + 4*Y^14 + 3*Y^13 + 5*Y^12 + 5*Y^11 + 4*Y^10 + 2*Y^9 + Y^8 +
        6*Y^7 + 4*Y^6 + 3*Y^5 + 2*Y^4 + 6*Y^3 + 3*Y^2 + 6*Y + 5,
    T^32 + 8/7*T^31 + 50/49*T^30 + 29/49*T^29 + 18/49*T^28 + 6/49*T^27 - 6/49*T^26 -
        43/49*T^25 - 47/49*T^24 - 17/49*T^23 - 32/49*T^22 - 40/49*T^21 - 40/49*T^20 
        - 17/49*T^19 + 2/7*T^18 + 26/49*T^17 - 3/49*T^16 + 26/49*T^15 + 2/7*T^14 - 
        17/49*T^13 - 40/49*T^12 - 40/49*T^11 - 32/49*T^10 - 17/49*T^9 - 47/49*T^8 - 
        43/49*T^7 - 6/49*T^6 + 6/49*T^5 + 18/49*T^4 + 29/49*T^3 + 50/49*T^2 + 8/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 
        + 3*X + 4*Y^18 + Y^17 + 6*Y^16 + 2*Y^14 + 2*Y^13 + 5*Y^12 + 4*Y^11 + 2*Y^10 
        + Y^9 + 3*Y^8 + 3*Y^7 + 6*Y^6 + 6*Y^5 + 6*Y^3 + 6*Y^2 + 2*Y + 6,
    T^32 + 2/7*T^31 - 13/49*T^30 - 9/49*T^29 - 12/49*T^28 + 1/49*T^27 + 18/49*T^26 -
        6/49*T^25 - 10/49*T^24 - 20/49*T^23 - 20/49*T^22 - 4/49*T^21 + 12/49*T^20 + 
        6/49*T^19 + 15/49*T^18 - 12/49*T^17 - 17/49*T^16 - 12/49*T^15 + 15/49*T^14 +
        6/49*T^13 + 12/49*T^12 - 4/49*T^11 - 20/49*T^10 - 20/49*T^9 - 10/49*T^8 - 
        6/49*T^7 + 18/49*T^6 + 1/49*T^5 - 12/49*T^4 - 9/49*T^3 - 13/49*T^2 + 2/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 5*X*Y^7 + X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 4*X*Y^2 
        + 5*X*Y + 5*X + 4*Y^18 + 4*Y^17 + 2*Y^16 + 5*Y^15 + 2*Y^14 + 3*Y^13 + 6*Y^12
        + 3*Y^11 + 5*Y^10 + 3*Y^9 + 2*Y^8 + 6*Y^7 + Y^6 + 2*Y^5 + 5*Y^4 + 6*Y^3 + 
        2*Y^2 + 5*Y + 6,
    -T^32 - 2*T^31 - 2*T^30 - 97/49*T^29 - 11/7*T^28 - 24/49*T^27 + 57/49*T^26 + 
        101/49*T^25 + 87/49*T^24 + 89/49*T^23 + 13/7*T^22 + 85/49*T^21 + 66/49*T^20 
        + 45/49*T^19 + 8/7*T^18 + 29/49*T^17 - 29/49*T^15 - 8/7*T^14 - 45/49*T^13 - 
        66/49*T^12 - 85/49*T^11 - 13/7*T^10 - 89/49*T^9 - 87/49*T^8 - 101/49*T^7 - 
        57/49*T^6 + 24/49*T^5 + 11/7*T^4 + 97/49*T^3 + 2*T^2 + 2*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 3*X*Y^6 + 4*X*Y^5 + 2*X*Y^2 + 2*X*Y + X + Y^18 + 
        3*Y^17 + Y^16 + 5*Y^15 + 6*Y^13 + 5*Y^11 + Y^10 + 6*Y^8 + 5*Y^7 + 2*Y^5 + 
        3*Y^4 + 5*Y^3 + 5*Y^2 + Y + 6,
    -T^32 + 38/49*T^30 + 31/49*T^29 - 60/49*T^28 + 3/49*T^27 + 6/7*T^26 - 5/49*T^25 
        - 12/49*T^24 - 19/49*T^23 - 36/49*T^21 + 54/49*T^20 - 4/49*T^19 - 1/49*T^18 
        - 11/49*T^17 + 11/49*T^15 + 1/49*T^14 + 4/49*T^13 - 54/49*T^12 + 36/49*T^11 
        + 19/49*T^9 + 12/49*T^8 + 5/49*T^7 - 6/7*T^6 - 3/49*T^5 + 60/49*T^4 - 
        31/49*T^3 - 38/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 
        3*X*Y^2 + 4*X*Y + 3*X + 2*Y^18 + 5*Y^17 + Y^16 + 2*Y^15 + 4*Y^13 + 4*Y^12 + 
        Y^11 + 2*Y^10 + 5*Y^9 + 5*Y^8 + 3*Y^7 + Y^6 + 4*Y^3 + 2*Y^2 + 6*Y + 3,
    T^32 + 6/7*T^31 - 83/49*T^30 - 103/49*T^29 + 51/49*T^28 + 131/49*T^27 - 
        11/49*T^26 - 145/49*T^25 - 6/7*T^24 + 139/49*T^23 + 110/49*T^22 - 92/49*T^21
        - 115/49*T^20 + 61/49*T^19 + 121/49*T^18 - 29/49*T^17 - 143/49*T^16 - 
        29/49*T^15 + 121/49*T^14 + 61/49*T^13 - 115/49*T^12 - 92/49*T^11 + 
        110/49*T^10 + 139/49*T^9 - 6/7*T^8 - 145/49*T^7 - 11/49*T^6 + 131/49*T^5 + 
        51/49*T^4 - 103/49*T^3 - 83/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + X*Y^4 + 6*X*Y^3 + 5*X*Y 
        + 4*X + 2*Y^18 + Y^16 + 6*Y^15 + 6*Y^14 + Y^12 + 3*Y^11 + 6*Y^9 + 4*Y^8 + 
        3*Y^7 + Y^5 + 2*Y^4 + 4*Y^2 + 5*Y + 3,
    -T^32 - 4/7*T^31 + 5/7*T^30 + 18/49*T^29 + 2/7*T^28 - 11/49*T^27 - 4/49*T^26 + 
        24/49*T^25 - 11/49*T^24 + 15/49*T^23 + 1/7*T^22 - 10/49*T^21 - 2/49*T^20 - 
        1/7*T^19 + 32/49*T^18 + 20/49*T^17 - 20/49*T^15 - 32/49*T^14 + 1/7*T^13 + 
        2/49*T^12 + 10/49*T^11 - 1/7*T^10 - 15/49*T^9 + 11/49*T^8 - 24/49*T^7 + 
        4/49*T^6 + 11/49*T^5 - 2/7*T^4 - 18/49*T^3 - 5/7*T^2 + 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        5*X*Y^2 + 3*X*Y + 4*X + 2*Y^18 + 4*Y^17 + 3*Y^15 + 2*Y^13 + 3*Y^11 + 5*Y^10 
        + 5*Y^6 + 6*Y^5 + 5*Y^4 + 4*Y^3 + 6*Y^2 + 5*Y + 6,
    T^32 - 8/7*T^31 + 11/49*T^30 + 26/49*T^29 - 25/49*T^28 + 10/49*T^27 + 1/49*T^26 
        - 19/49*T^25 + 9/49*T^24 - 41/49*T^23 + 43/49*T^22 - 18/49*T^21 + 3/49*T^20 
        - 16/49*T^19 + 20/49*T^18 + 4/49*T^17 - 1/49*T^16 + 4/49*T^15 + 20/49*T^14 -
        16/49*T^13 + 3/49*T^12 - 18/49*T^11 + 43/49*T^10 - 41/49*T^9 + 9/49*T^8 - 
        19/49*T^7 + 1/49*T^6 + 10/49*T^5 - 25/49*T^4 + 26/49*T^3 + 11/49*T^2 - 8/7*T
        + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 4*X*Y^4 + 4*X*Y^3 + X*Y^2 + 3*X*Y 
        + 3*X + 3*Y^18 + 3*Y^17 + 5*Y^16 + Y^14 + 3*Y^13 + 6*Y^12 + 5*Y^11 + 4*Y^10 
        + 6*Y^9 + Y^8 + 4*Y^7 + 4*Y^6 + 5*Y^5 + 5*Y^4 + 5*Y^2 + Y + 4,
    T^32 - 9/7*T^31 + 32/49*T^30 - 18/49*T^29 + 20/49*T^28 + 6/49*T^27 - 25/49*T^26 
        + 26/49*T^25 - 36/49*T^24 + 22/49*T^23 - 12/49*T^22 + 34/49*T^21 - 3/7*T^20 
        - 26/49*T^19 + 30/49*T^18 - 5/7*T^17 + 43/49*T^16 - 5/7*T^15 + 30/49*T^14 - 
        26/49*T^13 - 3/7*T^12 + 34/49*T^11 - 12/49*T^10 + 22/49*T^9 - 36/49*T^8 + 
        26/49*T^7 - 25/49*T^6 + 6/49*T^5 + 20/49*T^4 - 18/49*T^3 + 32/49*T^2 - 9/7*T
        + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 4*X*Y^2 + 
        3*X*Y + 6*Y^18 + 5*Y^16 + 6*Y^15 + 4*Y^14 + 3*Y^13 + 2*Y^12 + 6*Y^11 + 
        4*Y^10 + 2*Y^9 + 6*Y^8 + 3*Y^7 + 5*Y^6 + 3*Y^5 + 5*Y^4 + 5*Y^3 + 6*Y^2 + 2*Y
        + 3,
    -T^32 - T^31 + 5/49*T^30 + 34/49*T^29 + 1/7*T^28 - 40/49*T^27 - 17/49*T^26 + 
        32/49*T^25 + 34/49*T^24 - 18/49*T^23 - 29/49*T^22 + 20/49*T^21 + 44/49*T^20 
        + 3/49*T^19 - 3/7*T^18 - 5/7*T^17 + 5/7*T^15 + 3/7*T^14 - 3/49*T^13 - 
        44/49*T^12 - 20/49*T^11 + 29/49*T^10 + 18/49*T^9 - 34/49*T^8 - 32/49*T^7 + 
        17/49*T^6 + 40/49*T^5 - 1/7*T^4 - 34/49*T^3 - 5/49*T^2 + T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + X*Y^5 + 2*X*Y^4 + X*Y^3 + X*Y^2 + 
        2*X + 4*Y^18 + Y^17 + 3*Y^16 + 6*Y^15 + 5*Y^14 + Y^13 + 4*Y^12 + 6*Y^11 + 
        6*Y^10 + 3*Y^9 + Y^7 + Y^6 + 2*Y^5 + 2*Y^4 + 4*Y^3 + 1,
    T^32 + 13/7*T^31 + 88/49*T^30 + 34/49*T^29 - T^28 - 136/49*T^27 - 142/49*T^26 - 
        81/49*T^25 + 9/49*T^24 + 68/49*T^23 + 103/49*T^22 + 79/49*T^21 + 50/49*T^20 
        + 6/49*T^19 - 27/49*T^18 - 11/7*T^17 - 94/49*T^16 - 11/7*T^15 - 27/49*T^14 +
        6/49*T^13 + 50/49*T^12 + 79/49*T^11 + 103/49*T^10 + 68/49*T^9 + 9/49*T^8 - 
        81/49*T^7 - 142/49*T^6 - 136/49*T^5 - T^4 + 34/49*T^3 + 88/49*T^2 + 13/7*T +
        1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^6 + X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + X*Y + 6*X + 5*Y^18 + 
        2*Y^17 + 6*Y^16 + Y^15 + 4*Y^14 + Y^13 + 3*Y^12 + 2*Y^11 + 6*Y^10 + 6*Y^9 + 
        2*Y^8 + Y^7 + 2*Y^6 + 6*Y^5 + 5*Y^4 + 4*Y^3 + 6*Y^2 + 3*Y + 3,
    T^32 + 6/7*T^31 + 4/7*T^30 - 5/49*T^29 - 24/49*T^28 - 4/49*T^27 + 9/49*T^26 - 
        3/49*T^25 - 19/49*T^24 - 20/49*T^23 + 18/49*T^22 + 31/49*T^21 + 1/49*T^20 - 
        31/49*T^19 - 50/49*T^18 - 22/49*T^17 + 1/49*T^16 - 22/49*T^15 - 50/49*T^14 -
        31/49*T^13 + 1/49*T^12 + 31/49*T^11 + 18/49*T^10 - 20/49*T^9 - 19/49*T^8 - 
        3/49*T^7 + 9/49*T^6 - 4/49*T^5 - 24/49*T^4 - 5/49*T^3 + 4/7*T^2 + 6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^7 + X*Y^6 + X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + 5*X + 
        Y^18 + 3*Y^17 + 2*Y^16 + 6*Y^14 + Y^13 + 5*Y^12 + 3*Y^11 + 3*Y^10 + 4*Y^8 + 
        Y^7 + Y^6 + 6*Y^5 + Y^4 + 4*Y^3 + 6*Y^2 + 5*Y + 5,
    -T^32 + 4/7*T^31 + 16/49*T^30 - 27/49*T^29 - 2/49*T^28 + 20/49*T^27 - 44/49*T^25
        + 11/49*T^24 + 19/49*T^23 - 15/49*T^22 - 11/49*T^21 + 31/49*T^20 - 
        16/49*T^19 - 16/49*T^18 + 3/49*T^17 - 3/49*T^15 + 16/49*T^14 + 16/49*T^13 - 
        31/49*T^12 + 11/49*T^11 + 15/49*T^10 - 19/49*T^9 - 11/49*T^8 + 44/49*T^7 - 
        20/49*T^5 + 2/49*T^4 + 27/49*T^3 - 16/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + 
        2*X*Y + 4*X + 4*Y^18 + 2*Y^17 + 6*Y^16 + 5*Y^15 + 6*Y^14 + 5*Y^13 + Y^12 + 
        3*Y^10 + 5*Y^9 + 6*Y^8 + 5*Y^7 + 4*Y^6 + 2*Y^5 + 2*Y^3 + 6*Y^2 + Y + 1,
    -T^32 - 20/7*T^31 - 212/49*T^30 - 208/49*T^29 - 129/49*T^28 + 1/49*T^27 + 
        138/49*T^26 + 263/49*T^25 + 348/49*T^24 + 334/49*T^23 + 179/49*T^22 - 
        68/49*T^21 - 311/49*T^20 - 429/49*T^19 - 381/49*T^18 - 213/49*T^17 + 
        213/49*T^15 + 381/49*T^14 + 429/49*T^13 + 311/49*T^12 + 68/49*T^11 - 
        179/49*T^10 - 334/49*T^9 - 348/49*T^8 - 263/49*T^7 - 138/49*T^6 - 1/49*T^5 +
        129/49*T^4 + 208/49*T^3 + 212/49*T^2 + 20/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 2*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + X*Y^3 + 6*X*Y^2 + X*Y + 
        2*X + 2*Y^18 + 3*Y^16 + 6*Y^14 + 5*Y^13 + Y^12 + 5*Y^11 + 4*Y^10 + Y^9 + 
        2*Y^8 + 6*Y^7 + 3*Y^6 + 4*Y^5 + 6*Y^3 + Y^2 + 1,
    -T^32 - 9/7*T^31 + 13/49*T^30 + 60/49*T^29 + 50/49*T^28 + 60/49*T^27 + 
        25/49*T^26 - 59/49*T^25 - T^24 + 10/49*T^23 + 4/7*T^22 + 15/49*T^21 + 
        4/49*T^20 - 38/49*T^19 - 73/49*T^18 - 61/49*T^17 + 61/49*T^15 + 73/49*T^14 +
        38/49*T^13 - 4/49*T^12 - 15/49*T^11 - 4/7*T^10 - 10/49*T^9 + T^8 + 59/49*T^7
        - 25/49*T^6 - 60/49*T^5 - 50/49*T^4 - 60/49*T^3 - 13/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + 3*X*Y + 5*X + 3*Y^18 + 6*Y^17 + 6*Y^16 + 5*Y^15 + 6*Y^14 + 4*Y^13 + 
        5*Y^12 + 6*Y^11 + 3*Y^10 + 4*Y^9 + 2*Y^8 + 5*Y^7 + Y^6 + 6*Y^5 + Y^4 + 4*Y^3
        + Y^2 + 1,
    -T^32 - 3/7*T^31 - 60/49*T^30 + 25/49*T^29 - 10/49*T^28 + 8/7*T^27 + 3/7*T^26 + 
        15/49*T^25 - 5/49*T^24 - 3/49*T^23 + 6/49*T^22 + 4/7*T^21 - 8/49*T^20 + 
        22/49*T^19 - 6/7*T^18 - 11/49*T^17 + 11/49*T^15 + 6/7*T^14 - 22/49*T^13 + 
        8/49*T^12 - 4/7*T^11 - 6/49*T^10 + 3/49*T^9 + 5/49*T^8 - 15/49*T^7 - 3/7*T^6
        - 8/7*T^5 + 10/49*T^4 - 25/49*T^3 + 60/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 5*X*Y^4 + 3*X*Y^2 + X*Y + 6*X + 
        3*Y^18 + 5*Y^17 + Y^16 + Y^15 + 3*Y^14 + 5*Y^13 + 3*Y^12 + 6*Y^11 + 3*Y^8 + 
        4*Y^7 + Y^6 + 5*Y^5 + Y^4 + 2*Y^3 + Y^2 + 3*Y + 2,
    -T^32 + 5/7*T^31 + 58/49*T^30 - 8/7*T^29 - 12/49*T^28 + 48/49*T^27 - 15/49*T^26 
        - 5/49*T^25 + 24/49*T^24 - 12/49*T^23 - 23/49*T^22 + 11/49*T^21 + 25/49*T^20
        - 50/49*T^19 - 4/7*T^18 + 67/49*T^17 - 67/49*T^15 + 4/7*T^14 + 50/49*T^13 - 
        25/49*T^12 - 11/49*T^11 + 23/49*T^10 + 12/49*T^9 - 24/49*T^8 + 5/49*T^7 + 
        15/49*T^6 - 48/49*T^5 + 12/49*T^4 + 8/7*T^3 - 58/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + 2*X*Y 
        + X + 4*Y^18 + Y^17 + 6*Y^15 + 2*Y^14 + Y^13 + 2*Y^12 + Y^11 + 2*Y^10 + 
        3*Y^9 + 4*Y^8 + 6*Y^7 + 3*Y^6 + 6*Y^5 + 3*Y^4 + 2*Y^3 + 3*Y^2 + 4*Y,
    T^32 - 8/7*T^31 + 1/7*T^30 + 3/49*T^29 + 41/49*T^28 - 36/49*T^27 + 3/49*T^26 + 
        4/49*T^25 - 3/49*T^24 + 20/49*T^23 - 23/49*T^22 + 22/49*T^21 - 38/49*T^20 + 
        13/49*T^19 + 10/49*T^18 + 20/49*T^17 - 9/7*T^16 + 20/49*T^15 + 10/49*T^14 + 
        13/49*T^13 - 38/49*T^12 + 22/49*T^11 - 23/49*T^10 + 20/49*T^9 - 3/49*T^8 + 
        4/49*T^7 + 3/49*T^6 - 36/49*T^5 + 41/49*T^4 + 3/49*T^3 + 1/7*T^2 - 8/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + X*Y^5 + X*Y^4 + 2*X*Y^3 + X*Y^2 + 
        2*X*Y + 5*X + 4*Y^18 + 5*Y^17 + 2*Y^15 + 4*Y^14 + 4*Y^13 + 4*Y^12 + Y^11 + 
        3*Y^10 + 4*Y^9 + 6*Y^8 + 6*Y^7 + 5*Y^5 + Y^4 + 5*Y^3 + 4*Y^2 + 4*Y + 3,
    T^32 + 2/7*T^31 - 54/49*T^30 + 6/49*T^29 + 51/49*T^28 - 2/7*T^27 - 80/49*T^26 - 
        18/49*T^25 + 71/49*T^24 + 16/49*T^23 - 89/49*T^22 - 20/49*T^21 + 12/7*T^20 +
        20/49*T^19 - 12/7*T^18 - 4/49*T^17 + 113/49*T^16 - 4/49*T^15 - 12/7*T^14 + 
        20/49*T^13 + 12/7*T^12 - 20/49*T^11 - 89/49*T^10 + 16/49*T^9 + 71/49*T^8 - 
        18/49*T^7 - 80/49*T^6 - 2/7*T^5 + 51/49*T^4 + 6/49*T^3 - 54/49*T^2 + 2/7*T +
        1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 
        + 4*X*Y + 3*X + 2*Y^18 + 4*Y^16 + 3*Y^14 + 5*Y^13 + 2*Y^12 + 2*Y^11 + 4*Y^10
        + 3*Y^9 + Y^8 + 2*Y^7 + 3*Y^6 + 2*Y^5 + 3*Y^3 + 4*Y^2 + 5*Y + 6,
    -T^32 + 1/7*T^31 - 34/49*T^30 - 4/49*T^29 + 13/49*T^28 + 17/49*T^27 + 3/7*T^26 -
        26/49*T^25 + 9/49*T^24 - 33/49*T^23 + 1/7*T^22 - 27/49*T^21 + 8/49*T^20 - 
        1/7*T^19 - 13/49*T^18 - 5/49*T^17 + 5/49*T^15 + 13/49*T^14 + 1/7*T^13 - 
        8/49*T^12 + 27/49*T^11 - 1/7*T^10 + 33/49*T^9 - 9/49*T^8 + 26/49*T^7 - 
        3/7*T^6 - 17/49*T^5 - 13/49*T^4 + 4/49*T^3 + 34/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + X*Y^4 + 5*X*Y^3 + X*Y^2 + 
        6*X + Y^18 + 5*Y^16 + 6*Y^14 + Y^13 + Y^12 + 2*Y^11 + 3*Y^9 + 5*Y^8 + 5*Y^7 
        + Y^6 + 3*Y^4 + 6*Y^3 + 5*Y^2 + 5*Y + 4,
    T^32 - 13/7*T^31 + 86/49*T^30 - 46/49*T^29 - 22/49*T^28 + 43/49*T^27 - 
        17/49*T^26 - 40/49*T^25 + 69/49*T^24 - 5/7*T^23 - 2/7*T^22 + 66/49*T^21 - 
        80/49*T^20 + 9/7*T^19 - 29/49*T^18 - 9/49*T^17 + 2/7*T^16 - 9/49*T^15 - 
        29/49*T^14 + 9/7*T^13 - 80/49*T^12 + 66/49*T^11 - 2/7*T^10 - 5/7*T^9 + 
        69/49*T^8 - 40/49*T^7 - 17/49*T^6 + 43/49*T^5 - 22/49*T^4 - 46/49*T^3 + 
        86/49*T^2 - 13/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 5*X*Y^3 + 2*X*Y^2 + 5*X*Y + 2*Y^18 + 3*Y^17 + 
        3*Y^16 + 6*Y^15 + 6*Y^14 + Y^13 + 6*Y^12 + 6*Y^11 + 2*Y^10 + 6*Y^8 + Y^7 + 
        6*Y^6 + 5*Y^5 + 5*Y^2 + 4*Y + 1,
    T^32 - 1/7*T^31 - 57/49*T^30 + 12/49*T^29 + 9/49*T^28 + 2/49*T^27 + 3/7*T^26 - 
        1/49*T^25 - 57/49*T^24 - 22/49*T^23 + 51/49*T^22 + 39/49*T^21 - 33/49*T^20 -
        5/7*T^19 - 2/7*T^18 + 12/49*T^17 + 9/7*T^16 + 12/49*T^15 - 2/7*T^14 - 
        5/7*T^13 - 33/49*T^12 + 39/49*T^11 + 51/49*T^10 - 22/49*T^9 - 57/49*T^8 - 
        1/49*T^7 + 3/7*T^6 + 2/49*T^5 + 9/49*T^4 + 12/49*T^3 - 57/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + X*Y^3 + 
        3*X*Y^2 + 3*X + 3*Y^18 + 5*Y^17 + 2*Y^16 + 6*Y^15 + 5*Y^14 + 3*Y^12 + 4*Y^11
        + 2*Y^10 + 4*Y^9 + 6*Y^8 + 5*Y^7 + 6*Y^5 + 5*Y^4 + 3*Y^2 + 2*Y + 1,
    T^32 - 16/7*T^31 + 9/7*T^30 + 2*T^29 - 193/49*T^28 + 106/49*T^27 + 67/49*T^26 - 
        132/49*T^25 + 54/49*T^24 + 45/49*T^23 - 65/49*T^22 - 9/49*T^21 + 17/7*T^20 -
        159/49*T^19 + 57/49*T^18 + 145/49*T^17 - 257/49*T^16 + 145/49*T^15 + 
        57/49*T^14 - 159/49*T^13 + 17/7*T^12 - 9/49*T^11 - 65/49*T^10 + 45/49*T^9 + 
        54/49*T^8 - 132/49*T^7 + 67/49*T^6 + 106/49*T^5 - 193/49*T^4 + 2*T^3 + 
        9/7*T^2 - 16/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + X*Y^6 + X*Y^5 + X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + X 
        + 4*Y^18 + 6*Y^17 + 2*Y^16 + 4*Y^15 + 2*Y^14 + 6*Y^13 + 2*Y^12 + 3*Y^11 + 
        Y^10 + 2*Y^9 + 4*Y^8 + 5*Y^7 + 2*Y^6 + 3*Y^5 + 6*Y^4 + 5*Y^3 + 6*Y^2 + 4*Y +
        1,
    -T^32 - 16/7*T^31 - 12/7*T^30 - 43/49*T^29 - 87/49*T^28 - 131/49*T^27 - 
        137/49*T^26 - 127/49*T^25 - 13/7*T^24 - 71/49*T^23 - 64/49*T^22 - 62/49*T^21
        - 82/49*T^20 - 46/49*T^19 + 12/49*T^18 + 6/49*T^17 - 6/49*T^15 - 12/49*T^14 
        + 46/49*T^13 + 82/49*T^12 + 62/49*T^11 + 64/49*T^10 + 71/49*T^9 + 13/7*T^8 +
        127/49*T^7 + 137/49*T^6 + 131/49*T^5 + 87/49*T^4 + 43/49*T^3 + 12/7*T^2 + 
        16/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + X*Y^3 + 5*X*Y^2 + X + 
        3*Y^18 + 3*Y^17 + 2*Y^16 + 6*Y^14 + 5*Y^13 + 3*Y^12 + 5*Y^11 + 5*Y^10 + 
        6*Y^9 + 5*Y^8 + 2*Y^7 + 2*Y^6 + Y^5 + 6*Y^3 + 6*Y^2 + 6*Y + 6,
    T^32 - 8/7*T^31 + 100/49*T^30 - 85/49*T^29 + 55/49*T^28 - 11/49*T^27 - 
        12/49*T^26 + 74/49*T^25 - 51/49*T^24 + 87/49*T^23 - 41/49*T^22 + 33/49*T^21 
        - 1/7*T^20 + 17/49*T^19 + 2/49*T^18 + 41/49*T^17 + 10/49*T^16 + 41/49*T^15 +
        2/49*T^14 + 17/49*T^13 - 1/7*T^12 + 33/49*T^11 - 41/49*T^10 + 87/49*T^9 - 
        51/49*T^8 + 74/49*T^7 - 12/49*T^6 - 11/49*T^5 + 55/49*T^4 - 85/49*T^3 + 
        100/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + X*Y^7 + X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 5*X*Y^2 
        + 4*X*Y + 2*X + 6*Y^18 + 3*Y^16 + 3*Y^14 + 3*Y^13 + Y^12 + 3*Y^11 + 4*Y^10 +
        6*Y^9 + 5*Y^8 + Y^7 + 3*Y^5 + 3*Y^4 + Y^2 + 2*Y + 3,
    T^32 + 11/7*T^31 + 10/49*T^30 - 61/49*T^29 - 57/49*T^28 - 9/49*T^27 + 1/49*T^26 
        + 5/49*T^25 + 55/49*T^24 + 40/49*T^23 - 19/49*T^22 - 33/49*T^21 - 30/49*T^20
        - 29/49*T^19 - 20/49*T^18 + 31/49*T^17 + 80/49*T^16 + 31/49*T^15 - 
        20/49*T^14 - 29/49*T^13 - 30/49*T^12 - 33/49*T^11 - 19/49*T^10 + 40/49*T^9 +
        55/49*T^8 + 5/49*T^7 + 1/49*T^6 - 9/49*T^5 - 57/49*T^4 - 61/49*T^3 + 
        10/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 6*X*Y^6 + 5*X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + 6*X*Y + Y^18 +
        5*Y^17 + Y^16 + 3*Y^15 + 2*Y^14 + 3*Y^13 + 6*Y^12 + 6*Y^11 + 3*Y^10 + 5*Y^9 
        + 3*Y^8 + 6*Y^7 + 2*Y^5 + Y^4 + 2*Y^3 + Y^2 + 2*Y + 2,
    T^32 - 4/7*T^31 - 33/49*T^30 + 12/49*T^29 + 17/49*T^28 + 73/49*T^27 - 86/49*T^26
        - 48/49*T^25 + 53/49*T^24 + 2/7*T^23 + 45/49*T^22 - 11/7*T^21 - 16/49*T^20 +
        43/49*T^19 + 6/49*T^18 + 2/7*T^17 - 60/49*T^16 + 2/7*T^15 + 6/49*T^14 + 
        43/49*T^13 - 16/49*T^12 - 11/7*T^11 + 45/49*T^10 + 2/7*T^9 + 53/49*T^8 - 
        48/49*T^7 - 86/49*T^6 + 73/49*T^5 + 17/49*T^4 + 12/49*T^3 - 33/49*T^2 - 
        4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 6*X*Y^2 + 6*X*Y 
        + 3*X + 4*Y^18 + 5*Y^17 + 4*Y^16 + Y^15 + 4*Y^14 + 5*Y^13 + 6*Y^12 + 3*Y^11 
        + 5*Y^10 + 4*Y^8 + 3*Y^7 + 6*Y^6 + 3*Y^5 + 3*Y^4 + 5*Y^3 + 5*Y^2 + 3*Y,
    -T^32 - 6/7*T^31 + 2/7*T^30 + 2/7*T^29 - 19/49*T^28 - 47/49*T^27 - 13/49*T^26 - 
        6/49*T^25 - 18/49*T^24 - 27/49*T^23 - 38/49*T^22 - 22/49*T^21 - 11/49*T^20 +
        9/49*T^19 + 1/7*T^18 + 3/49*T^17 - 3/49*T^15 - 1/7*T^14 - 9/49*T^13 + 
        11/49*T^12 + 22/49*T^11 + 38/49*T^10 + 27/49*T^9 + 18/49*T^8 + 6/49*T^7 + 
        13/49*T^6 + 47/49*T^5 + 19/49*T^4 - 2/7*T^3 - 2/7*T^2 + 6/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + 6*X + 
        5*Y^18 + 6*Y^16 + 3*Y^15 + 4*Y^14 + 2*Y^13 + 6*Y^12 + 2*Y^11 + 3*Y^10 + 
        2*Y^9 + 5*Y^8 + 3*Y^7 + 2*Y^6 + 3*Y^5 + 3*Y^4 + 2*Y^3 + 2*Y^2 + 2*Y,
    T^32 + 11/7*T^31 + 19/49*T^30 - 3/49*T^29 + 40/49*T^28 + 41/49*T^27 - 2/49*T^26 
        + 16/49*T^25 + 40/49*T^24 + 5/49*T^23 + 10/49*T^22 + 47/49*T^21 + 29/49*T^20
        - 12/49*T^19 - 8/49*T^18 + 25/49*T^17 + 38/49*T^16 + 25/49*T^15 - 8/49*T^14 
        - 12/49*T^13 + 29/49*T^12 + 47/49*T^11 + 10/49*T^10 + 5/49*T^9 + 40/49*T^8 +
        16/49*T^7 - 2/49*T^6 + 41/49*T^5 + 40/49*T^4 - 3/49*T^3 + 19/49*T^2 + 11/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 6*X*Y^6 + 6*X*Y^4 + 5*X*Y + 3*Y^18 + Y^17 + Y^16 + 
        4*Y^15 + 3*Y^14 + 3*Y^13 + 3*Y^12 + 5*Y^11 + 6*Y^10 + 5*Y^9 + 4*Y^8 + Y^6 + 
        4*Y^5 + 5*Y^4 + 6*Y^3 + 2*Y^2 + 6*Y + 1,
    -T^32 + 12/7*T^31 - 59/49*T^30 - 3/49*T^29 + 27/49*T^28 - 32/49*T^27 + 
        23/49*T^26 - 16/49*T^25 + 3/49*T^24 + 3/49*T^23 + 11/49*T^22 - 36/49*T^21 + 
        47/49*T^20 - 58/49*T^19 + 41/49*T^18 - 1/7*T^17 + 1/7*T^15 - 41/49*T^14 + 
        58/49*T^13 - 47/49*T^12 + 36/49*T^11 - 11/49*T^10 - 3/49*T^9 - 3/49*T^8 + 
        16/49*T^7 - 23/49*T^6 + 32/49*T^5 - 27/49*T^4 + 3/49*T^3 + 59/49*T^2 - 
        12/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 5*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + X*Y^3 + X*Y^2 + 6*X*Y + 
        3*X + Y^18 + 4*Y^16 + 2*Y^15 + Y^14 + 5*Y^13 + Y^12 + Y^11 + Y^10 + 5*Y^9 + 
        5*Y^7 + 3*Y^6 + 4*Y^5 + 5*Y^4 + 5*Y^3 + 4*Y^2 + 3,
    -T^32 - 9/7*T^31 - 8/49*T^30 + 1/49*T^29 + 4/7*T^28 + 36/49*T^27 - 15/49*T^26 - 
        3/49*T^25 - 5/49*T^24 + 10/49*T^23 + 72/49*T^22 + 38/49*T^21 + 45/49*T^20 + 
        6/7*T^19 - 26/49*T^18 + 4/49*T^17 - 4/49*T^15 + 26/49*T^14 - 6/7*T^13 - 
        45/49*T^12 - 38/49*T^11 - 72/49*T^10 - 10/49*T^9 + 5/49*T^8 + 3/49*T^7 + 
        15/49*T^6 - 36/49*T^5 - 4/7*T^4 - 1/49*T^3 + 8/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + X*Y^4 + 3*X*Y^3 + 3*X*Y 
        + 6*X + 2*Y^18 + 5*Y^17 + 5*Y^14 + 2*Y^11 + 2*Y^10 + 3*Y^9 + 2*Y^8 + 5*Y^7 +
        4*Y^6 + 4*Y^5 + 3*Y^4 + 3*Y^3 + 6*Y^2 + 4*Y + 1,
    T^32 + 2/7*T^31 - 13/7*T^30 - 36/49*T^29 + 68/49*T^28 + 29/49*T^27 - 39/49*T^26 
        - 40/49*T^25 + 2/7*T^24 + 83/49*T^23 + 5/7*T^22 - 89/49*T^21 - 65/49*T^20 + 
        48/49*T^19 + 66/49*T^18 - 12/49*T^17 - 64/49*T^16 - 12/49*T^15 + 66/49*T^14 
        + 48/49*T^13 - 65/49*T^12 - 89/49*T^11 + 5/7*T^10 + 83/49*T^9 + 2/7*T^8 - 
        40/49*T^7 - 39/49*T^6 + 29/49*T^5 + 68/49*T^4 - 36/49*T^3 - 13/7*T^2 + 2/7*T
        + 1
*], [*
    X^3 + 4*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + X*Y^3 + X*Y^2 + 3*X*Y + 
        6*X + Y^18 + 4*Y^17 + 3*Y^16 + Y^15 + 6*Y^14 + 6*Y^13 + 3*Y^12 + 4*Y^11 + 
        4*Y^10 + 6*Y^9 + 5*Y^8 + 2*Y^5 + Y^4 + 5*Y^3 + 3*Y^2 + 6,
    T^32 - 2/7*T^31 - 24/49*T^30 + 45/49*T^29 - 5/7*T^28 - 46/49*T^27 + 26/49*T^26 -
        2/49*T^25 - 3/7*T^24 + 15/49*T^23 - 2/49*T^22 + 5/49*T^21 + 3/49*T^20 - 
        32/49*T^19 + 29/49*T^18 + 25/49*T^17 - 33/49*T^16 + 25/49*T^15 + 29/49*T^14 
        - 32/49*T^13 + 3/49*T^12 + 5/49*T^11 - 2/49*T^10 + 15/49*T^9 - 3/7*T^8 - 
        2/49*T^7 + 26/49*T^6 - 46/49*T^5 - 5/7*T^4 + 45/49*T^3 - 24/49*T^2 - 2/7*T +
        1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + 
        2*X*Y + 6*X + 2*Y^18 + 3*Y^17 + 2*Y^16 + 4*Y^15 + 4*Y^13 + 6*Y^12 + 3*Y^11 +
        Y^10 + 2*Y^8 + 2*Y^7 + 4*Y^6 + 5*Y^5 + 2*Y^4 + 4*Y^2 + 4*Y + 5,
    T^32 + 5/7*T^31 - 62/49*T^30 + 5/49*T^29 + 48/49*T^28 - 72/49*T^27 - 3/7*T^26 + 
        52/49*T^25 - 30/49*T^24 - 15/49*T^23 + 20/49*T^22 - 1/49*T^21 + 22/49*T^20 +
        4/49*T^19 - 25/49*T^18 + 1/49*T^17 + 16/49*T^16 + 1/49*T^15 - 25/49*T^14 + 
        4/49*T^13 + 22/49*T^12 - 1/49*T^11 + 20/49*T^10 - 15/49*T^9 - 30/49*T^8 + 
        52/49*T^7 - 3/7*T^6 - 72/49*T^5 + 48/49*T^4 + 5/49*T^3 - 62/49*T^2 + 5/7*T +
        1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 5*X*Y^5 + 3*X*Y^4 + X*Y^2 + 5*X*Y + 2*X + 
        2*Y^18 + 3*Y^17 + 6*Y^16 + 3*Y^15 + 4*Y^14 + 3*Y^13 + 5*Y^12 + 6*Y^11 + 
        6*Y^10 + Y^8 + 3*Y^6 + 3*Y^5 + 4*Y^4 + 4*Y^3 + Y^2 + 3,
    T^32 - 17/7*T^31 + 117/49*T^30 - 33/49*T^29 - 50/49*T^28 + 60/49*T^27 - 1/7*T^26
        - 46/49*T^25 + 33/49*T^24 + 1/7*T^23 - 1/7*T^22 + 1/7*T^21 - 55/49*T^20 + 
        16/7*T^19 - 92/49*T^18 + 4/49*T^17 + 44/49*T^16 + 4/49*T^15 - 92/49*T^14 + 
        16/7*T^13 - 55/49*T^12 + 1/7*T^11 - 1/7*T^10 + 1/7*T^9 + 33/49*T^8 - 
        46/49*T^7 - 1/7*T^6 + 60/49*T^5 - 50/49*T^4 - 33/49*T^3 + 117/49*T^2 - 
        17/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 5*X*Y^7 + X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + X*Y + 
        3*X + 3*Y^18 + 6*Y^17 + 3*Y^16 + 2*Y^15 + 3*Y^14 + Y^13 + 5*Y^12 + Y^11 + 
        Y^10 + 2*Y^9 + 5*Y^8 + 3*Y^7 + 5*Y^6 + 2*Y^5 + 4*Y^4 + 5*Y^3 + 4*Y^2 + 4*Y +
        1,
    T^32 - 9/7*T^31 + 18/49*T^30 + 9/49*T^29 - 10/49*T^28 - 10/49*T^27 - 15/49*T^26 
        + 44/49*T^25 - 31/49*T^24 + 6/49*T^23 + 30/49*T^22 - 45/49*T^21 + 5/49*T^20 
        + 17/49*T^19 - 19/49*T^18 + 26/49*T^17 - 22/49*T^16 + 26/49*T^15 - 
        19/49*T^14 + 17/49*T^13 + 5/49*T^12 - 45/49*T^11 + 30/49*T^10 + 6/49*T^9 - 
        31/49*T^8 + 44/49*T^7 - 15/49*T^6 - 10/49*T^5 - 10/49*T^4 + 9/49*T^3 + 
        18/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 
        2*X*Y^2 + 5*X*Y + 6*X + Y^18 + 4*Y^17 + 4*Y^15 + 4*Y^14 + 5*Y^13 + 2*Y^12 + 
        3*Y^11 + 4*Y^10 + 6*Y^9 + 4*Y^8 + 6*Y^6 + 2*Y^5 + 6*Y^4 + 4*Y^2 + Y + 6,
    T^32 - 3/7*T^31 - 17/49*T^30 + 15/49*T^29 - 20/49*T^28 + 5/49*T^27 + 9/49*T^25 +
        13/49*T^24 + 2/49*T^23 - 16/49*T^22 - 17/49*T^21 + 40/49*T^20 + 6/49*T^19 - 
        3/7*T^18 + 16/49*T^17 - 22/49*T^16 + 16/49*T^15 - 3/7*T^14 + 6/49*T^13 + 
        40/49*T^12 - 17/49*T^11 - 16/49*T^10 + 2/49*T^9 + 13/49*T^8 + 9/49*T^7 + 
        5/49*T^5 - 20/49*T^4 + 15/49*T^3 - 17/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + X*Y^2 
        + 4*X*Y + 4*X + 3*Y^18 + 2*Y^17 + 4*Y^16 + 2*Y^15 + Y^13 + Y^12 + 4*Y^11 + 
        6*Y^10 + 6*Y^9 + 2*Y^8 + 4*Y^7 + 3*Y^6 + 6*Y^5 + 4*Y^3 + 3*Y^2 + 3,
    T^32 - 5/7*T^31 + 15/49*T^30 - 4/49*T^29 - 4/7*T^28 + 3/7*T^26 - 1/49*T^25 - 
        19/49*T^24 + 31/49*T^23 + 9/49*T^22 - 36/49*T^21 + 11/49*T^20 - 15/49*T^19 -
        13/49*T^18 - 4/49*T^17 + 38/49*T^16 - 4/49*T^15 - 13/49*T^14 - 15/49*T^13 + 
        11/49*T^12 - 36/49*T^11 + 9/49*T^10 + 31/49*T^9 - 19/49*T^8 - 1/49*T^7 + 
        3/7*T^6 - 4/7*T^4 - 4/49*T^3 + 15/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + X*Y 
        + 2*Y^18 + 3*Y^17 + 5*Y^16 + 2*Y^15 + 2*Y^14 + 2*Y^13 + Y^12 + 5*Y^11 + 
        6*Y^10 + 6*Y^9 + 2*Y^7 + 5*Y^6 + 3*Y^4 + 4*Y^2 + 3*Y + 2,
    -T^32 - 3/7*T^31 + 25/49*T^30 + 1/49*T^29 + 22/49*T^28 + 40/49*T^27 - 1/49*T^26 
        - 33/49*T^25 + 2/49*T^24 - 4/49*T^23 - 4/7*T^22 + 9/49*T^21 + 45/49*T^20 - 
        2/7*T^19 - 1/7*T^18 + 18/49*T^17 - 18/49*T^15 + 1/7*T^14 + 2/7*T^13 - 
        45/49*T^12 - 9/49*T^11 + 4/7*T^10 + 4/49*T^9 - 2/49*T^8 + 33/49*T^7 + 
        1/49*T^6 - 40/49*T^5 - 22/49*T^4 - 1/49*T^3 - 25/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 6*X*Y^7 + 5*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 4*X*Y + 3*X + 
        6*Y^18 + Y^17 + 3*Y^16 + 2*Y^15 + 2*Y^14 + 2*Y^13 + 5*Y^12 + 5*Y^11 + 5*Y^10
        + Y^9 + 6*Y^8 + 5*Y^7 + 6*Y^6 + Y^5 + Y^4 + 3*Y^3 + 3*Y^2 + 5*Y + 3,
    -T^32 - 9/7*T^31 - 10/7*T^30 - 34/49*T^29 - 1/7*T^28 + 74/49*T^27 + 79/49*T^26 +
        88/49*T^25 + 3/7*T^24 - 8/49*T^23 - 65/49*T^22 - 54/49*T^21 - 51/49*T^20 + 
        15/49*T^19 + 30/49*T^18 + 2/7*T^17 - 2/7*T^15 - 30/49*T^14 - 15/49*T^13 + 
        51/49*T^12 + 54/49*T^11 + 65/49*T^10 + 8/49*T^9 - 3/7*T^8 - 88/49*T^7 - 
        79/49*T^6 - 74/49*T^5 + 1/7*T^4 + 34/49*T^3 + 10/7*T^2 + 9/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + X*Y^2 + 5*X*Y 
        + 6*X + Y^18 + 4*Y^17 + 6*Y^16 + Y^15 + 2*Y^14 + 4*Y^13 + Y^12 + 6*Y^11 + 
        4*Y^10 + 2*Y^9 + Y^8 + 6*Y^7 + Y^3 + 6*Y^2 + 5*Y,
    -T^32 - 4/7*T^31 + 3/7*T^30 - 82/49*T^29 - 46/49*T^28 + 80/49*T^27 - 26/49*T^26 
        - 57/49*T^25 + 93/49*T^24 + 39/49*T^23 - 10/7*T^22 + 43/49*T^21 + 46/49*T^20
        - 45/49*T^19 + 3/49*T^18 + 23/49*T^17 - 23/49*T^15 - 3/49*T^14 + 45/49*T^13 
        - 46/49*T^12 - 43/49*T^11 + 10/7*T^10 - 39/49*T^9 - 93/49*T^8 + 57/49*T^7 + 
        26/49*T^6 - 80/49*T^5 + 46/49*T^4 + 82/49*T^3 - 3/7*T^2 + 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 2*X*Y^6 + 3*X*Y^5 + 2*X*Y^3 + 2*X*Y^2 + X*Y + X + 3*Y^18
        + 2*Y^17 + 6*Y^14 + 2*Y^13 + 3*Y^12 + Y^11 + 6*Y^10 + 6*Y^8 + 4*Y^7 + 6*Y^6 
        + 4*Y^5 + 6*Y^4 + 5*Y^3 + 3*Y^2 + 3*Y + 3,
    T^32 + 1/7*T^31 + 13/49*T^30 + 20/49*T^29 - 1/49*T^28 - 19/49*T^27 + 20/49*T^26 
        + 4/7*T^25 - 24/49*T^24 + 17/49*T^23 - 6/49*T^22 - 3/7*T^21 - 3/7*T^20 - 
        12/49*T^19 - 1/7*T^18 - 20/49*T^17 + 18/49*T^16 - 20/49*T^15 - 1/7*T^14 - 
        12/49*T^13 - 3/7*T^12 - 3/7*T^11 - 6/49*T^10 + 17/49*T^9 - 24/49*T^8 + 
        4/7*T^7 + 20/49*T^6 - 19/49*T^5 - 1/49*T^4 + 20/49*T^3 + 13/49*T^2 + 1/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 6*X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + 
        2*X*Y + 5*Y^18 + 5*Y^17 + 2*Y^16 + 3*Y^15 + Y^14 + 6*Y^13 + 3*Y^12 + 4*Y^11 
        + 2*Y^10 + 4*Y^9 + 2*Y^8 + 2*Y^7 + 5*Y^6 + 2*Y^5 + 6*Y^3 + 6*Y + 6,
    T^32 + 4/7*T^31 - 43/49*T^30 - 24/49*T^29 - 10/49*T^27 - 16/49*T^26 - 4/49*T^25 
        + 9/49*T^24 + 22/49*T^23 + 8/49*T^22 + 22/49*T^21 + 17/49*T^20 - 15/49*T^19 
        + 5/49*T^18 - 16/49*T^17 - 48/49*T^16 - 16/49*T^15 + 5/49*T^14 - 15/49*T^13 
        + 17/49*T^12 + 22/49*T^11 + 8/49*T^10 + 22/49*T^9 + 9/49*T^8 - 4/49*T^7 - 
        16/49*T^6 - 10/49*T^5 - 24/49*T^3 - 43/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 5*X*Y^7 + 3*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 6*X*Y 
        + 6*X + 6*Y^18 + 4*Y^17 + 2*Y^16 + 6*Y^15 + 6*Y^14 + 6*Y^13 + 5*Y^12 + 
        2*Y^11 + 3*Y^10 + Y^9 + 5*Y^8 + 2*Y^7 + 3*Y^6 + Y^5 + Y^2 + Y + 5,
    -T^32 - 4/7*T^31 - 32/49*T^30 - 44/49*T^29 + 5/49*T^28 + 15/49*T^27 + 5/49*T^26 
        + 9/49*T^25 + 8/49*T^24 + 10/49*T^23 - 1/49*T^22 + 18/49*T^21 + 16/49*T^20 -
        4/49*T^19 + 2/49*T^18 + 2/49*T^17 - 2/49*T^15 - 2/49*T^14 + 4/49*T^13 - 
        16/49*T^12 - 18/49*T^11 + 1/49*T^10 - 10/49*T^9 - 8/49*T^8 - 9/49*T^7 - 
        5/49*T^6 - 15/49*T^5 - 5/49*T^4 + 44/49*T^3 + 32/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 5*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 
        5*X*Y + 5*X + 4*Y^18 + 6*Y^17 + 5*Y^16 + Y^15 + 5*Y^14 + Y^12 + 5*Y^11 + 
        4*Y^8 + 3*Y^7 + 3*Y^5 + 2*Y^4 + 5*Y^3 + 3*Y^2 + Y + 3,
    -T^32 - 11/7*T^31 - 10/7*T^30 - 6/7*T^29 - 43/49*T^28 - 10/49*T^27 + 23/49*T^26 
        + 6/49*T^25 - 23/49*T^24 - 4/49*T^23 + 2/49*T^22 - 40/49*T^21 - 27/49*T^20 +
        30/49*T^19 + 23/49*T^18 - 2/7*T^17 + 2/7*T^15 - 23/49*T^14 - 30/49*T^13 + 
        27/49*T^12 + 40/49*T^11 - 2/49*T^10 + 4/49*T^9 + 23/49*T^8 - 6/49*T^7 - 
        23/49*T^6 + 10/49*T^5 + 43/49*T^4 + 6/7*T^3 + 10/7*T^2 + 11/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + X*Y^7 + 2*X*Y^6 + 2*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + X*Y + 
        4*X + 3*Y^18 + 6*Y^17 + 2*Y^16 + 4*Y^15 + Y^14 + Y^13 + 5*Y^12 + 6*Y^11 + 
        Y^10 + 2*Y^9 + 4*Y^8 + 5*Y^7 + Y^6 + 5*Y^5 + 6*Y^4 + 4*Y^3 + 3*Y^2 + 3*Y + 
        1,
    T^32 - 4/7*T^31 - T^30 + 36/49*T^29 - 17/49*T^28 + 10/49*T^27 + 3/7*T^26 - 
        8/49*T^25 + 3/49*T^24 - 41/49*T^23 + 12/49*T^22 + 40/49*T^21 - 27/49*T^20 + 
        13/49*T^19 - 22/49*T^17 + 17/49*T^16 - 22/49*T^15 + 13/49*T^13 - 27/49*T^12 
        + 40/49*T^11 + 12/49*T^10 - 41/49*T^9 + 3/49*T^8 - 8/49*T^7 + 3/7*T^6 + 
        10/49*T^5 - 17/49*T^4 + 36/49*T^3 - T^2 - 4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 6*X*Y^6 + 6*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 5*X*Y + 3*X + 
        6*Y^18 + Y^17 + 6*Y^16 + 4*Y^15 + 2*Y^14 + 4*Y^13 + 6*Y^12 + Y^10 + 5*Y^9 + 
        5*Y^8 + 5*Y^7 + 5*Y^6 + 4*Y^5 + 4*Y^4 + 6*Y^2 + 3*Y + 1,
    -T^32 + 5/7*T^31 + 8/7*T^30 + 9/49*T^29 - 25/49*T^28 - 11/7*T^27 + 1/49*T^26 - 
        5/49*T^25 + 75/49*T^24 + 38/49*T^23 - 20/49*T^22 - 20/49*T^21 - 74/49*T^20 +
        2/7*T^19 + 9/49*T^18 + 13/7*T^17 - 13/7*T^15 - 9/49*T^14 - 2/7*T^13 + 
        74/49*T^12 + 20/49*T^11 + 20/49*T^10 - 38/49*T^9 - 75/49*T^8 + 5/49*T^7 - 
        1/49*T^6 + 11/7*T^5 + 25/49*T^4 - 9/49*T^3 - 8/7*T^2 - 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + X*Y^4 + 6*X*Y^3 + 
        5*X*Y^2 + 5*X*Y + 5*X + 2*Y^18 + Y^15 + Y^14 + 4*Y^13 + 6*Y^12 + 5*Y^11 + 
        2*Y^10 + Y^9 + 6*Y^8 + 4*Y^7 + 6*Y^6 + Y^4 + 6*Y^2 + 5,
    -T^32 - 6/7*T^31 - 23/49*T^30 - 27/49*T^29 - 6/49*T^28 - 8/49*T^27 + 22/49*T^26 
        + 41/49*T^25 + 24/49*T^24 + 15/49*T^23 + 31/49*T^22 + 6/7*T^21 + 43/49*T^20 
        + 2/7*T^19 + 33/49*T^18 + 3/7*T^17 - 3/7*T^15 - 33/49*T^14 - 2/7*T^13 - 
        43/49*T^12 - 6/7*T^11 - 31/49*T^10 - 15/49*T^9 - 24/49*T^8 - 41/49*T^7 - 
        22/49*T^6 + 8/49*T^5 + 6/49*T^4 + 27/49*T^3 + 23/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 4*X*Y 
        + Y^18 + 6*Y^17 + 6*Y^16 + 2*Y^15 + 3*Y^14 + 3*Y^13 + 4*Y^12 + Y^11 + 6*Y^10
        + 2*Y^8 + 6*Y^7 + 6*Y^6 + 6*Y^5 + 3*Y^4 + 6*Y^3 + 4*Y^2 + 2*Y + 1,
    -T^32 + 9/7*T^31 + 9/49*T^30 - 71/49*T^29 + 9/7*T^28 + 13/49*T^27 - 48/49*T^26 +
        8/49*T^25 - 1/7*T^24 + 1/7*T^23 - 3/49*T^22 + 25/49*T^21 - 3/7*T^20 - 
        1/49*T^19 + 37/49*T^18 - 54/49*T^17 + 54/49*T^15 - 37/49*T^14 + 1/49*T^13 + 
        3/7*T^12 - 25/49*T^11 + 3/49*T^10 - 1/7*T^9 + 1/7*T^8 - 8/49*T^7 + 48/49*T^6
        - 13/49*T^5 - 9/7*T^4 + 71/49*T^3 - 9/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 5*X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + X*Y 
        + 6*X + 3*Y^18 + 2*Y^17 + 2*Y^15 + 4*Y^14 + 3*Y^13 + 5*Y^12 + 6*Y^10 + Y^8 +
        3*Y^7 + 6*Y^6 + 6*Y^5 + 5*Y^4 + 4*Y^3 + 6*Y^2 + 4*Y + 2,
    T^32 + 2/7*T^31 - 67/49*T^30 + 3/49*T^29 + 46/49*T^28 - 5/7*T^27 - 20/49*T^26 + 
        5/7*T^25 - 18/49*T^24 - 40/49*T^23 - 25/49*T^22 + 3/49*T^21 + 26/49*T^20 + 
        17/49*T^19 + 16/49*T^18 + 4/49*T^17 - 12/49*T^16 + 4/49*T^15 + 16/49*T^14 + 
        17/49*T^13 + 26/49*T^12 + 3/49*T^11 - 25/49*T^10 - 40/49*T^9 - 18/49*T^8 + 
        5/7*T^7 - 20/49*T^6 - 5/7*T^5 + 46/49*T^4 + 3/49*T^3 - 67/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 2*X*Y^2 + 2*X*Y 
        + X + 5*Y^18 + 2*Y^17 + 3*Y^15 + 4*Y^14 + 5*Y^13 + 6*Y^12 + 4*Y^11 + 2*Y^10 
        + 6*Y^9 + 5*Y^8 + 5*Y^7 + Y^6 + 4*Y^5 + 3*Y^4 + 4*Y + 3,
    -T^32 - 2*T^31 - 12/7*T^30 - 54/49*T^29 - 1/49*T^28 + 44/49*T^27 + 58/49*T^26 + 
        72/49*T^25 + 57/49*T^24 + 38/49*T^23 + 2/49*T^22 - 57/49*T^21 - 78/49*T^20 -
        61/49*T^19 - 33/49*T^18 - 12/49*T^17 + 12/49*T^15 + 33/49*T^14 + 61/49*T^13 
        + 78/49*T^12 + 57/49*T^11 - 2/49*T^10 - 38/49*T^9 - 57/49*T^8 - 72/49*T^7 - 
        58/49*T^6 - 44/49*T^5 + 1/49*T^4 + 54/49*T^3 + 12/7*T^2 + 2*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 5*X*Y^7 + X*Y^6 + X*Y^5 + 4*X*Y^3 + 3*X*Y^2 + 3*X + 2*Y^18
        + 2*Y^16 + 5*Y^15 + 4*Y^14 + Y^13 + 6*Y^12 + 2*Y^11 + Y^10 + Y^9 + 3*Y^8 + 
        2*Y^7 + 4*Y^6 + 5*Y^5 + 5*Y^4 + 6*Y^3 + 3*Y^2 + Y + 4,
    T^32 - 2/7*T^31 - 4/49*T^30 + 52/49*T^29 - 1/49*T^28 + 10/49*T^27 + T^26 - 
        10/49*T^25 + 17/49*T^23 - 10/49*T^22 - 6/49*T^21 - 2/49*T^20 - 44/49*T^19 - 
        24/49*T^18 - 5/49*T^17 - 50/49*T^16 - 5/49*T^15 - 24/49*T^14 - 44/49*T^13 - 
        2/49*T^12 - 6/49*T^11 - 10/49*T^10 + 17/49*T^9 - 10/49*T^7 + T^6 + 10/49*T^5
        - 1/49*T^4 + 52/49*T^3 - 4/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + 
        2*X*Y + 6*X + 6*Y^18 + Y^17 + 4*Y^16 + 5*Y^14 + 2*Y^13 + 3*Y^12 + 4*Y^11 + 
        3*Y^10 + Y^9 + 3*Y^8 + 3*Y^7 + Y^6 + 5*Y^5 + 5*Y^4 + 5*Y^2 + 2*Y + 4,
    -T^32 + 5/7*T^31 - 16/49*T^29 - 2/49*T^28 - 3/7*T^27 + 10/49*T^26 + 2/49*T^25 - 
        29/49*T^24 + 3/7*T^23 - 17/49*T^22 + 5/49*T^21 + 5/49*T^20 - 36/49*T^19 + 
        13/49*T^18 + 12/49*T^17 - 12/49*T^15 - 13/49*T^14 + 36/49*T^13 - 5/49*T^12 -
        5/49*T^11 + 17/49*T^10 - 3/7*T^9 + 29/49*T^8 - 2/49*T^7 - 10/49*T^6 + 
        3/7*T^5 + 2/49*T^4 + 16/49*T^3 - 5/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 
        6*X*Y^2 + X*Y + 4*X + 3*Y^18 + Y^16 + Y^15 + 6*Y^13 + 2*Y^12 + 2*Y^11 + 
        2*Y^10 + 4*Y^9 + 3*Y^8 + 5*Y^7 + 2*Y^6 + 6*Y^5 + 6*Y^4 + 5*Y^3 + 3*Y^2 + 
        4*Y,
    -T^32 + 5/7*T^31 - 76/49*T^30 + 62/49*T^29 - 51/49*T^28 + 73/49*T^27 - 
        30/49*T^26 + 68/49*T^25 - 29/49*T^24 + 66/49*T^23 - 45/49*T^22 + 48/49*T^21 
        - 65/49*T^20 + 18/49*T^19 - T^18 - 5/49*T^17 + 5/49*T^15 + T^14 - 18/49*T^13
        + 65/49*T^12 - 48/49*T^11 + 45/49*T^10 - 66/49*T^9 + 29/49*T^8 - 68/49*T^7 +
        30/49*T^6 - 73/49*T^5 + 51/49*T^4 - 62/49*T^3 + 76/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 
        2*X*Y + 2*X + 3*Y^18 + 4*Y^17 + 6*Y^16 + 2*Y^15 + 5*Y^14 + 3*Y^13 + 5*Y^12 +
        4*Y^11 + 4*Y^10 + 6*Y^8 + 5*Y^7 + Y^6 + 4*Y^5 + 4*Y^4 + Y^3 + 5*Y^2 + 3*Y + 
        3,
    -T^32 - 3/7*T^31 + 9/7*T^30 + 29/49*T^29 - 78/49*T^28 - 10/7*T^27 + 60/49*T^26 +
        99/49*T^25 + 2/49*T^24 - 79/49*T^23 - 24/49*T^22 + 95/49*T^21 + 81/49*T^20 -
        6/7*T^19 - 27/49*T^18 + 36/49*T^17 - 36/49*T^15 + 27/49*T^14 + 6/7*T^13 - 
        81/49*T^12 - 95/49*T^11 + 24/49*T^10 + 79/49*T^9 - 2/49*T^8 - 99/49*T^7 - 
        60/49*T^6 + 10/7*T^5 + 78/49*T^4 - 29/49*T^3 - 9/7*T^2 + 3/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^6 + 5*X*Y^5 + 4*X*Y^3 + 2*X*Y^2 + 6*X*Y + 3*X + 3*Y^18 + 
        Y^17 + 5*Y^16 + 4*Y^15 + 6*Y^13 + 4*Y^11 + 4*Y^10 + 2*Y^9 + Y^8 + 2*Y^7 + 
        Y^6 + 6*Y^5 + 2*Y^4 + 5*Y^3 + 5*Y^2 + Y + 1,
    -T^32 + 10/7*T^31 - 54/49*T^30 + 19/49*T^29 + 9/49*T^28 + 3/7*T^27 - 54/49*T^26 
        + 78/49*T^25 - 75/49*T^24 + 58/49*T^23 - 51/49*T^22 + 36/49*T^21 - 
        31/49*T^20 + 15/49*T^19 - 3/49*T^18 - 8/49*T^17 + 8/49*T^15 + 3/49*T^14 - 
        15/49*T^13 + 31/49*T^12 - 36/49*T^11 + 51/49*T^10 - 58/49*T^9 + 75/49*T^8 - 
        78/49*T^7 + 54/49*T^6 - 3/7*T^5 - 9/49*T^4 - 19/49*T^3 + 54/49*T^2 - 10/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 5*X*Y^2 + 
        X*Y + 3*X + 4*Y^18 + 6*Y^17 + 5*Y^16 + 2*Y^14 + Y^13 + Y^12 + Y^11 + 4*Y^10 
        + 3*Y^9 + 6*Y^8 + 3*Y^7 + Y^6 + 5*Y^5 + 5*Y^4 + 4*Y^3 + 5*Y^2 + 2*Y + 3,
    T^32 - 6/7*T^31 + 13/49*T^30 + 16/49*T^29 - 67/49*T^28 + 62/49*T^27 - 3/7*T^26 -
        4/49*T^25 + 5/7*T^24 - 45/49*T^23 + 16/49*T^22 - 17/49*T^21 + 10/49*T^20 - 
        4/49*T^19 - 4/49*T^18 + 30/49*T^17 - 45/49*T^16 + 30/49*T^15 - 4/49*T^14 - 
        4/49*T^13 + 10/49*T^12 - 17/49*T^11 + 16/49*T^10 - 45/49*T^9 + 5/7*T^8 - 
        4/49*T^7 - 3/7*T^6 + 62/49*T^5 - 67/49*T^4 + 16/49*T^3 + 13/49*T^2 - 6/7*T +
        1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + 
        4*X*Y + 3*X + 6*Y^18 + 4*Y^16 + 4*Y^15 + Y^14 + 4*Y^13 + 2*Y^11 + 4*Y^10 + 
        5*Y^9 + 4*Y^8 + 5*Y^7 + 5*Y^6 + 2*Y^5 + 6*Y^4 + 5*Y^3 + 2*Y^2 + 3*Y + 6,
    T^32 + 6/7*T^31 - 9/49*T^30 + 2/49*T^29 - 22/49*T^28 - 5/7*T^27 - 32/49*T^26 - 
        5/7*T^25 + 29/49*T^24 + T^23 + 22/49*T^22 + 54/49*T^21 + 64/49*T^20 + 
        25/49*T^19 - 26/49*T^18 - 46/49*T^17 - 37/49*T^16 - 46/49*T^15 - 26/49*T^14 
        + 25/49*T^13 + 64/49*T^12 + 54/49*T^11 + 22/49*T^10 + T^9 + 29/49*T^8 - 
        5/7*T^7 - 32/49*T^6 - 5/7*T^5 - 22/49*T^4 + 2/49*T^3 - 9/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 5*X*Y^5 + 2*X*Y^3 + 3*X*Y + 3*Y^18 + Y^16 + 4*Y^15 + Y^14 + 
        6*Y^13 + 6*Y^12 + 4*Y^11 + 3*Y^10 + 6*Y^9 + 2*Y^8 + 4*Y^6 + 2*Y^5 + 6*Y^4 + 
        6*Y^3 + 5*Y^2 + 5*Y + 5,
    T^32 - 9/7*T^31 + 66/49*T^30 - 92/49*T^29 + 22/49*T^28 + 12/49*T^27 - 5/7*T^26 +
        87/49*T^25 - 66/49*T^24 + 66/49*T^23 - 38/49*T^22 - 4/49*T^21 - 10/49*T^20 -
        T^19 + 37/49*T^18 - 3/7*T^17 + 78/49*T^16 - 3/7*T^15 + 37/49*T^14 - T^13 - 
        10/49*T^12 - 4/49*T^11 - 38/49*T^10 + 66/49*T^9 - 66/49*T^8 + 87/49*T^7 - 
        5/7*T^6 + 12/49*T^5 + 22/49*T^4 - 92/49*T^3 + 66/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 2*X*Y^7 + X*Y^6 + 3*X*Y^5 + 4*X*Y^3 + X + Y^18 + 4*Y^17 + 3*Y^16
        + Y^15 + 3*Y^14 + Y^13 + 5*Y^12 + 2*Y^10 + 4*Y^9 + 2*Y^8 + 2*Y^7 + Y^6 + 
        2*Y^5 + 4*Y^4 + 4*Y^3 + 6*Y^2 + 2*Y + 4,
    -T^32 + 11/7*T^31 + 22/49*T^30 - 101/49*T^29 + 23/49*T^28 + 50/49*T^27 + 
        11/49*T^26 - 31/49*T^25 - 19/49*T^24 - 12/49*T^23 + T^22 + 13/49*T^21 - 
        66/49*T^20 + 16/49*T^19 + 6/7*T^18 - 34/49*T^17 + 34/49*T^15 - 6/7*T^14 - 
        16/49*T^13 + 66/49*T^12 - 13/49*T^11 - T^10 + 12/49*T^9 + 19/49*T^8 + 
        31/49*T^7 - 11/49*T^6 - 50/49*T^5 - 23/49*T^4 + 101/49*T^3 - 22/49*T^2 - 
        11/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 6*X*Y^6 + 3*X*Y^5 + X*Y^4 + 3*X*Y^3 + 6*X*Y + 3*X + 
        6*Y^18 + 6*Y^17 + 4*Y^16 + 6*Y^15 + 5*Y^14 + 2*Y^13 + Y^12 + 5*Y^11 + 6*Y^10
        + 5*Y^9 + Y^8 + 3*Y^7 + Y^6 + 4*Y^5 + Y^4 + 3*Y^2 + Y + 1,
    -T^32 - 1/7*T^31 - 5/7*T^30 - 3/7*T^28 + 13/49*T^27 + 5/49*T^26 + 23/49*T^25 + 
        32/49*T^24 + 22/49*T^23 + 24/49*T^22 + 25/49*T^21 + 30/49*T^20 + 19/49*T^19 
        + 3/49*T^18 - 1/49*T^17 + 1/49*T^15 - 3/49*T^14 - 19/49*T^13 - 30/49*T^12 - 
        25/49*T^11 - 24/49*T^10 - 22/49*T^9 - 32/49*T^8 - 23/49*T^7 - 5/49*T^6 - 
        13/49*T^5 + 3/7*T^4 + 5/7*T^2 + 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 3*X*Y^2 + X*Y + 4*X + 
        3*Y^18 + 2*Y^17 + 3*Y^14 + Y^13 + 5*Y^11 + 5*Y^10 + 4*Y^9 + 3*Y^7 + 4*Y^6 + 
        6*Y^5 + 3*Y^4 + 4*Y^3 + Y^2 + 3*Y + 1,
    -T^32 - 2/7*T^31 - 16/49*T^30 + 1/49*T^29 + 19/49*T^28 - 2/7*T^27 + 19/49*T^26 +
        1/7*T^25 - 24/49*T^24 + 15/49*T^23 - 26/49*T^22 - 6/49*T^21 + 16/49*T^20 - 
        11/49*T^19 + 47/49*T^18 - 5/49*T^17 + 5/49*T^15 - 47/49*T^14 + 11/49*T^13 - 
        16/49*T^12 + 6/49*T^11 + 26/49*T^10 - 15/49*T^9 + 24/49*T^8 - 1/7*T^7 - 
        19/49*T^6 + 2/7*T^5 - 19/49*T^4 - 1/49*T^3 + 16/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 2*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + X*Y^3 + 5*X*Y^2 + 4*X*Y 
        + 3*Y^18 + 3*Y^17 + 2*Y^16 + 5*Y^15 + 3*Y^14 + 5*Y^13 + 5*Y^11 + 3*Y^10 + 
        6*Y^9 + 4*Y^7 + 5*Y^6 + 5*Y^5 + 5*Y^4 + 5*Y^2 + 3*Y + 5,
    -T^32 + 8/7*T^31 + 15/49*T^30 - 12/49*T^29 - 23/49*T^28 + 1/7*T^27 - 3/49*T^26 -
        1/49*T^25 + 39/49*T^24 - 22/49*T^23 + 2/49*T^22 + 1/49*T^21 - T^20 + 
        24/49*T^19 + 17/49*T^18 + 5/49*T^17 - 5/49*T^15 - 17/49*T^14 - 24/49*T^13 + 
        T^12 - 1/49*T^11 - 2/49*T^10 + 22/49*T^9 - 39/49*T^8 + 1/49*T^7 + 3/49*T^6 -
        1/7*T^5 + 23/49*T^4 + 12/49*T^3 - 15/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + X*Y^2 + 4*X*Y + 
        3*X + 6*Y^18 + 4*Y^16 + 6*Y^15 + 5*Y^14 + 3*Y^13 + 3*Y^12 + Y^11 + 5*Y^10 + 
        Y^9 + 6*Y^8 + 2*Y^7 + 5*Y^6 + 6*Y^5 + Y^4 + 6*Y^3 + 5*Y^2 + 3*Y + 2,
    -T^32 - 11/7*T^31 + 6/49*T^30 + 52/49*T^29 - 3/49*T^28 - 23/49*T^27 + 30/49*T^26
        + 26/49*T^25 + 1/49*T^24 + 3/7*T^23 + 2/49*T^22 + 10/49*T^21 + 8/7*T^20 + 
        46/49*T^19 + 3/7*T^18 + 3/7*T^17 - 3/7*T^15 - 3/7*T^14 - 46/49*T^13 - 
        8/7*T^12 - 10/49*T^11 - 2/49*T^10 - 3/7*T^9 - 1/49*T^8 - 26/49*T^7 - 
        30/49*T^6 + 23/49*T^5 + 3/49*T^4 - 52/49*T^3 - 6/49*T^2 + 11/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + 6*X*Y + 5*X + 
        3*Y^18 + 2*Y^17 + 5*Y^16 + 6*Y^15 + 3*Y^14 + 3*Y^13 + 4*Y^12 + 3*Y^8 + 2*Y^7
        + 2*Y^6 + 4*Y^5 + 4*Y^4 + Y^3 + 3*Y^2 + 4*Y + 6,
    T^32 - 4/7*T^31 + 55/49*T^30 - 17/49*T^29 - 13/49*T^28 + 19/49*T^27 - 8/7*T^26 +
        15/49*T^25 - 9/49*T^24 + 5/49*T^23 + 36/49*T^22 + 17/49*T^21 + 22/49*T^20 + 
        15/49*T^19 - 4/7*T^18 + 2/49*T^17 - 47/49*T^16 + 2/49*T^15 - 4/7*T^14 + 
        15/49*T^13 + 22/49*T^12 + 17/49*T^11 + 36/49*T^10 + 5/49*T^9 - 9/49*T^8 + 
        15/49*T^7 - 8/7*T^6 + 19/49*T^5 - 13/49*T^4 - 17/49*T^3 + 55/49*T^2 - 4/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + 
        3*X*Y + 6*X + 5*Y^18 + 3*Y^17 + 2*Y^16 + 2*Y^15 + Y^14 + Y^13 + 4*Y^12 + 
        3*Y^10 + 3*Y^9 + Y^8 + 4*Y^7 + 4*Y^5 + Y^4 + 4*Y^2 + 4*Y + 1,
    T^32 + 2/7*T^31 - 1/49*T^30 - 26/49*T^29 - 5/49*T^28 - 13/49*T^27 - 5/7*T^26 + 
        3/49*T^25 + 3/7*T^24 + 9/49*T^23 - 47/49*T^22 - 20/49*T^21 + 17/49*T^20 + 
        5/49*T^19 - 17/49*T^18 + 26/49*T^17 + 41/49*T^16 + 26/49*T^15 - 17/49*T^14 +
        5/49*T^13 + 17/49*T^12 - 20/49*T^11 - 47/49*T^10 + 9/49*T^9 + 3/7*T^8 + 
        3/49*T^7 - 5/7*T^6 - 13/49*T^5 - 5/49*T^4 - 26/49*T^3 - 1/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + X*Y^7 + 2*X*Y^5 + X*Y^4 + 2*X*Y^3 + X*Y^2 + 6*X*Y + 2*X 
        + 3*Y^18 + 3*Y^17 + 5*Y^15 + 3*Y^14 + 3*Y^12 + 6*Y^10 + 2*Y^8 + 5*Y^7 + 
        5*Y^6 + 2*Y^5 + 3*Y^3 + 2*Y^2 + 5*Y,
    -T^32 + 3/7*T^31 + 5/49*T^30 - 17/49*T^29 + 8/7*T^28 + 1/7*T^27 + 2/49*T^26 - 
        15/49*T^25 - 10/49*T^24 - 20/49*T^22 + 25/49*T^21 - 2/49*T^20 - 13/49*T^19 +
        9/49*T^18 - 25/49*T^17 + 25/49*T^15 - 9/49*T^14 + 13/49*T^13 + 2/49*T^12 - 
        25/49*T^11 + 20/49*T^10 + 10/49*T^8 + 15/49*T^7 - 2/49*T^6 - 1/7*T^5 - 
        8/7*T^4 + 17/49*T^3 - 5/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 
        5*X*Y^2 + 6*X + 5*Y^18 + 2*Y^16 + Y^15 + 4*Y^14 + 4*Y^13 + 4*Y^12 + 5*Y^11 +
        6*Y^10 + 4*Y^9 + 4*Y^7 + 3*Y^6 + 4*Y^5 + 5*Y^3 + 2*Y^2 + 6*Y + 4,
    T^32 - T^31 - 8/49*T^30 + 57/49*T^29 - 33/49*T^28 - 57/49*T^27 + 85/49*T^26 - 
        2/49*T^25 - 103/49*T^24 + 101/49*T^23 + 38/49*T^22 - 17/7*T^21 + 15/49*T^20 
        + 106/49*T^19 - 100/49*T^18 - 37/49*T^17 + 115/49*T^16 - 37/49*T^15 - 
        100/49*T^14 + 106/49*T^13 + 15/49*T^12 - 17/7*T^11 + 38/49*T^10 + 101/49*T^9
        - 103/49*T^8 - 2/49*T^7 + 85/49*T^6 - 57/49*T^5 - 33/49*T^4 + 57/49*T^3 - 
        8/49*T^2 - T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + 2*X + 
        2*Y^18 + 3*Y^17 + 6*Y^15 + 4*Y^14 + Y^13 + 6*Y^12 + Y^11 + 5*Y^10 + 3*Y^8 + 
        5*Y^7 + 6*Y^6 + 2*Y^3 + 4*Y^2 + 2*Y + 4,
    -T^32 + 1/7*T^31 + 47/49*T^30 - 4/49*T^29 - 46/49*T^28 - 6/49*T^27 + 86/49*T^26 
        - 83/49*T^24 + 1/49*T^23 + 55/49*T^22 + 9/49*T^21 - T^20 - 15/49*T^19 + 
        32/49*T^18 + 6/49*T^17 - 6/49*T^15 - 32/49*T^14 + 15/49*T^13 + T^12 - 
        9/49*T^11 - 55/49*T^10 - 1/49*T^9 + 83/49*T^8 - 86/49*T^6 + 6/49*T^5 + 
        46/49*T^4 + 4/49*T^3 - 47/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + X*Y^3 + X*Y^2 + 4*X + 5*Y^18 + 
        2*Y^17 + 2*Y^16 + 3*Y^15 + 5*Y^14 + 4*Y^13 + 6*Y^12 + 6*Y^11 + Y^10 + 4*Y^9 
        + Y^8 + 4*Y^7 + 6*Y^6 + Y^5 + 5*Y^4 + 4*Y^3 + 2*Y^2 + 2*Y + 4,
    T^32 - 1/7*T^31 - 13/49*T^30 - 15/49*T^29 + 15/49*T^28 - 41/49*T^27 + 3/49*T^26 
        + 38/49*T^25 + 4/49*T^24 - 41/49*T^23 + 17/49*T^22 + 23/49*T^21 - 5/7*T^20 -
        33/49*T^19 + 44/49*T^18 + 16/49*T^17 - 32/49*T^16 + 16/49*T^15 + 44/49*T^14 
        - 33/49*T^13 - 5/7*T^12 + 23/49*T^11 + 17/49*T^10 - 41/49*T^9 + 4/49*T^8 + 
        38/49*T^7 + 3/49*T^6 - 41/49*T^5 + 15/49*T^4 - 15/49*T^3 - 13/49*T^2 - 1/7*T
        + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + 5*X*Y^5 + 2*X*Y^3 + 3*X*Y^2 + X + 4*Y^18 + 
        3*Y^17 + 4*Y^16 + 6*Y^15 + 6*Y^14 + 6*Y^13 + 4*Y^11 + 4*Y^10 + 2*Y^9 + 6*Y^7
        + 5*Y^6 + 3*Y^5 + 2*Y^3 + 6*Y^2 + 6,
    T^32 + 13/7*T^31 + 76/49*T^30 + 5/7*T^29 - 30/49*T^28 - 10/7*T^27 - 75/49*T^26 -
        72/49*T^25 - 83/49*T^24 - 88/49*T^23 - 71/49*T^22 - 59/49*T^21 - 20/49*T^20 
        + 23/49*T^19 + 68/49*T^18 + 139/49*T^17 + 174/49*T^16 + 139/49*T^15 + 
        68/49*T^14 + 23/49*T^13 - 20/49*T^12 - 59/49*T^11 - 71/49*T^10 - 88/49*T^9 -
        83/49*T^8 - 72/49*T^7 - 75/49*T^6 - 10/7*T^5 - 30/49*T^4 + 5/7*T^3 + 
        76/49*T^2 + 13/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + 
        3*X*Y + 3*X + 4*Y^18 + 4*Y^16 + 6*Y^15 + 5*Y^13 + 5*Y^12 + 6*Y^11 + 2*Y^10 +
        Y^9 + 5*Y^8 + 2*Y^7 + 6*Y^6 + 2*Y^5 + 4*Y^4 + 6*Y^3 + 2*Y^2 + 3,
    T^32 + 16/7*T^31 + 117/49*T^30 + 50/49*T^29 - 10/49*T^28 - 64/49*T^27 - 
        110/49*T^26 - 155/49*T^25 - 185/49*T^24 - 25/7*T^23 - 124/49*T^22 - 
        74/49*T^21 - 19/49*T^20 + 78/49*T^19 + 165/49*T^18 + 226/49*T^17 + 
        239/49*T^16 + 226/49*T^15 + 165/49*T^14 + 78/49*T^13 - 19/49*T^12 - 
        74/49*T^11 - 124/49*T^10 - 25/7*T^9 - 185/49*T^8 - 155/49*T^7 - 110/49*T^6 -
        64/49*T^5 - 10/49*T^4 + 50/49*T^3 + 117/49*T^2 + 16/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 3*X*Y^4 + 5*X*Y^2 + 6*X*Y + X + 
        Y^18 + Y^17 + 6*Y^16 + 6*Y^15 + 2*Y^14 + Y^13 + 3*Y^12 + 3*Y^11 + Y^10 + 
        6*Y^9 + Y^8 + 4*Y^7 + 3*Y^6 + 4*Y^5 + 4*Y^4 + Y^2 + 6*Y + 4,
    T^32 - 11/7*T^31 + 52/49*T^30 - 16/49*T^29 + 1/49*T^28 + 1/7*T^27 - 13/49*T^26 +
        2/7*T^25 - 47/49*T^24 + 100/49*T^23 - 16/7*T^22 + 9/7*T^21 + 3/49*T^20 - 
        53/49*T^19 + 62/49*T^18 - 44/49*T^17 + 23/49*T^16 - 44/49*T^15 + 62/49*T^14 
        - 53/49*T^13 + 3/49*T^12 + 9/7*T^11 - 16/7*T^10 + 100/49*T^9 - 47/49*T^8 + 
        2/7*T^7 - 13/49*T^6 + 1/7*T^5 + 1/49*T^4 - 16/49*T^3 + 52/49*T^2 - 11/7*T + 
        1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 2*X*Y^6 + 2*X*Y^5 + 2*X*Y^3 + 6*X*Y^2 + 2*X*Y + 6*X + 
        4*Y^18 + 5*Y^17 + Y^16 + Y^15 + 3*Y^14 + Y^13 + 5*Y^12 + 6*Y^11 + 5*Y^10 + 
        3*Y^9 + 6*Y^8 + 3*Y^7 + Y^4 + 5*Y^3 + 3*Y^2 + Y + 2,
    -T^32 + 1/7*T^31 - 2/7*T^30 + 8/49*T^29 + 44/49*T^28 + 38/49*T^27 + 10/49*T^26 -
        6/49*T^25 - 18/49*T^24 - 48/49*T^23 + 8/49*T^22 + 4/49*T^21 + 2/49*T^20 + 
        8/49*T^19 + 5/49*T^18 - 19/49*T^17 + 19/49*T^15 - 5/49*T^14 - 8/49*T^13 - 
        2/49*T^12 - 4/49*T^11 - 8/49*T^10 + 48/49*T^9 + 18/49*T^8 + 6/49*T^7 - 
        10/49*T^6 - 38/49*T^5 - 44/49*T^4 - 8/49*T^3 + 2/7*T^2 - 1/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 4*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 5*X*Y^2 + 6*X*Y + 6*X + 
        3*Y^18 + 5*Y^17 + 2*Y^16 + 2*Y^15 + 2*Y^14 + Y^13 + 6*Y^12 + 2*Y^11 + 4*Y^10
        + Y^9 + 5*Y^8 + 5*Y^7 + Y^6 + Y^5 + 5*Y^3 + 4*Y^2 + 4*Y + 5,
    T^32 - T^31 - 11/49*T^30 + 67/49*T^29 - 45/49*T^28 - 12/49*T^27 + 22/49*T^26 + 
        30/49*T^25 - 8/7*T^24 + 23/49*T^23 + 47/49*T^22 - 89/49*T^21 + 24/49*T^20 + 
        52/49*T^19 - 58/49*T^18 - 20/49*T^17 + 61/49*T^16 - 20/49*T^15 - 58/49*T^14 
        + 52/49*T^13 + 24/49*T^12 - 89/49*T^11 + 47/49*T^10 + 23/49*T^9 - 8/7*T^8 + 
        30/49*T^7 + 22/49*T^6 - 12/49*T^5 - 45/49*T^4 + 67/49*T^3 - 11/49*T^2 - T + 
        1
*], [*
    X^3 + 5*X*Y^8 + X*Y^7 + 4*X*Y^6 + 2*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 3*X*Y + X + 
        5*Y^18 + 6*Y^16 + Y^14 + 6*Y^13 + 6*Y^11 + 2*Y^10 + 5*Y^9 + Y^8 + Y^7 + 
        6*Y^6 + Y^5 + 4*Y^4 + 4*Y^3 + 2*Y^2 + 1,
    T^32 + 3/7*T^31 - 33/49*T^30 - 16/49*T^29 - 5/7*T^28 - 2/49*T^27 + 23/49*T^26 - 
        4/49*T^25 + 12/49*T^24 - 2/7*T^23 - 16/49*T^22 + 11/49*T^21 - 9/49*T^20 + 
        15/49*T^19 + 4/7*T^18 - 11/49*T^17 - 34/49*T^16 - 11/49*T^15 + 4/7*T^14 + 
        15/49*T^13 - 9/49*T^12 + 11/49*T^11 - 16/49*T^10 - 2/7*T^9 + 12/49*T^8 - 
        4/49*T^7 + 23/49*T^6 - 2/49*T^5 - 5/7*T^4 - 16/49*T^3 - 33/49*T^2 + 3/7*T + 
        1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        3*X*Y^2 + 6*X*Y + 3*X + Y^18 + Y^17 + 4*Y^15 + 5*Y^12 + 2*Y^11 + 5*Y^10 + 
        6*Y^9 + 4*Y^8 + Y^7 + 6*Y^6 + 6*Y^5 + 3*Y^4 + 4*Y^3 + 2*Y^2 + 4*Y,
    T^32 - 5/7*T^31 - 38/49*T^30 + 4/49*T^29 + 55/49*T^28 - 43/49*T^27 - 2/49*T^26 +
        33/49*T^25 + 11/49*T^24 - 59/49*T^23 + 18/49*T^22 + 46/49*T^21 - 44/49*T^20 
        - 13/49*T^19 + 57/49*T^18 + 22/49*T^17 - 106/49*T^16 + 22/49*T^15 + 
        57/49*T^14 - 13/49*T^13 - 44/49*T^12 + 46/49*T^11 + 18/49*T^10 - 59/49*T^9 +
        11/49*T^8 + 33/49*T^7 - 2/49*T^6 - 43/49*T^5 + 55/49*T^4 + 4/49*T^3 - 
        38/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + X*Y^2 + 3*X*Y + 
        6*X + 3*Y^18 + 2*Y^14 + 2*Y^13 + 2*Y^12 + 4*Y^11 + 4*Y^10 + 2*Y^9 + 3*Y^8 + 
        5*Y^7 + 3*Y^6 + 5*Y^5 + 2*Y^3 + 3*Y^2 + Y + 4,
    T^32 - 1/7*T^31 + 6/49*T^30 - 59/49*T^29 + 15/49*T^28 + 12/49*T^27 + 12/49*T^26 
        - 22/49*T^25 - 23/49*T^24 + 10/49*T^23 + 2/7*T^22 + 2/7*T^21 - 4/49*T^20 - 
        22/49*T^18 + 17/49*T^17 - 20/49*T^16 + 17/49*T^15 - 22/49*T^14 - 4/49*T^12 +
        2/7*T^11 + 2/7*T^10 + 10/49*T^9 - 23/49*T^8 - 22/49*T^7 + 12/49*T^6 + 
        12/49*T^5 + 15/49*T^4 - 59/49*T^3 + 6/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + X*Y^7 + 4*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        3*X*Y^2 + X*Y + 2*X + 2*Y^18 + 2*Y^17 + 2*Y^16 + 3*Y^13 + 2*Y^12 + 3*Y^11 + 
        6*Y^10 + 3*Y^9 + Y^8 + Y^7 + 3*Y^6 + 6*Y^5 + Y^4 + 6*Y^3 + 6*Y + 6,
    -T^32 + 1/7*T^31 + 10/49*T^30 + 11/49*T^29 + 3/7*T^28 - 31/49*T^27 + 36/49*T^26 
        - 45/49*T^25 + 5/49*T^24 + 37/49*T^23 - 1/49*T^22 + 2/7*T^21 - 50/49*T^20 + 
        27/49*T^19 - 3/7*T^18 - 12/49*T^17 + 12/49*T^15 + 3/7*T^14 - 27/49*T^13 + 
        50/49*T^12 - 2/7*T^11 + 1/49*T^10 - 37/49*T^9 - 5/49*T^8 + 45/49*T^7 - 
        36/49*T^6 + 31/49*T^5 - 3/7*T^4 - 11/49*T^3 - 10/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + X*Y^3 + 6*X*Y^2 
        + 3*Y^18 + 3*Y^17 + 3*Y^16 + 5*Y^14 + 5*Y^13 + 4*Y^12 + 5*Y^11 + 6*Y^10 + 
        2*Y^9 + 4*Y^6 + 6*Y^5 + 6*Y^4 + 5*Y^3 + Y^2 + 4*Y + 4,
    -T^32 + 10/7*T^31 - 10/7*T^30 + 59/49*T^29 - 12/49*T^28 - T^27 + 88/49*T^26 - 
        15/7*T^25 + 75/49*T^24 - 43/49*T^23 + 2/7*T^22 + 4/49*T^21 - 12/49*T^19 + 
        26/49*T^18 - 12/49*T^17 + 12/49*T^15 - 26/49*T^14 + 12/49*T^13 - 4/49*T^11 -
        2/7*T^10 + 43/49*T^9 - 75/49*T^8 + 15/7*T^7 - 88/49*T^6 + T^5 + 12/49*T^4 - 
        59/49*T^3 + 10/7*T^2 - 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 3*X*Y^4 + 2*X*Y^3 + 6*X + 4*Y^18 + Y^17 + 5*Y^16 + 
        2*Y^15 + 5*Y^14 + 5*Y^13 + 3*Y^12 + 2*Y^11 + 6*Y^10 + 5*Y^8 + 2*Y^7 + 3*Y^6 
        + Y^5 + 6*Y^4 + 3*Y^3 + Y + 5,
    -T^32 - 3/7*T^31 + 34/49*T^30 + 32/49*T^29 + 34/49*T^28 + 53/49*T^27 - 
        22/49*T^26 - 48/49*T^25 - 10/49*T^24 - 10/49*T^23 - 2/49*T^22 + 6/49*T^21 - 
        2/7*T^20 - 6/49*T^19 + 5/49*T^18 - 1/7*T^17 + 1/7*T^15 - 5/49*T^14 + 
        6/49*T^13 + 2/7*T^12 - 6/49*T^11 + 2/49*T^10 + 10/49*T^9 + 10/49*T^8 + 
        48/49*T^7 + 22/49*T^6 - 53/49*T^5 - 34/49*T^4 - 32/49*T^3 - 34/49*T^2 + 
        3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + X*Y^7 + X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 4*X*Y + 
        4*Y^18 + 2*Y^17 + 4*Y^15 + 3*Y^14 + 3*Y^13 + 5*Y^12 + Y^11 + 2*Y^10 + 2*Y^9 
        + 2*Y^8 + 5*Y^7 + 2*Y^6 + 3*Y^5 + 4*Y^4 + 4*Y^3 + 3*Y^2 + 5*Y + 1,
    -T^32 - 2*T^31 - 121/49*T^30 - 137/49*T^29 - 137/49*T^28 - 114/49*T^27 - 
        61/49*T^26 + 4/49*T^25 + 62/49*T^24 + 139/49*T^23 + 197/49*T^22 + 
        201/49*T^21 + 204/49*T^20 + 201/49*T^19 + 141/49*T^18 + 68/49*T^17 - 
        68/49*T^15 - 141/49*T^14 - 201/49*T^13 - 204/49*T^12 - 201/49*T^11 - 
        197/49*T^10 - 139/49*T^9 - 62/49*T^8 - 4/49*T^7 + 61/49*T^6 + 114/49*T^5 + 
        137/49*T^4 + 137/49*T^3 + 121/49*T^2 + 2*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 5*X*Y^3 + X*Y^2 
        + 5*X*Y + 2*X + 2*Y^18 + 2*Y^17 + Y^15 + 2*Y^14 + 5*Y^13 + 6*Y^12 + 3*Y^11 +
        Y^10 + 6*Y^9 + 3*Y^8 + 3*Y^7 + 3*Y^6 + Y^5 + 5*Y^4 + Y^3 + Y + 3,
    T^32 + 8/7*T^31 + 40/49*T^30 + 18/49*T^29 + 3/7*T^28 - 5/49*T^27 - 17/49*T^26 + 
        12/49*T^25 + 36/49*T^24 + 25/49*T^23 + 12/49*T^22 + 3/7*T^21 + 4/49*T^20 - 
        1/7*T^19 - 27/49*T^18 - 3/7*T^17 - 34/49*T^16 - 3/7*T^15 - 27/49*T^14 - 
        1/7*T^13 + 4/49*T^12 + 3/7*T^11 + 12/49*T^10 + 25/49*T^9 + 36/49*T^8 + 
        12/49*T^7 - 17/49*T^6 - 5/49*T^5 + 3/7*T^4 + 18/49*T^3 + 40/49*T^2 + 8/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 
        3*X*Y^2 + 3*X + 6*Y^18 + 5*Y^16 + 4*Y^15 + 4*Y^14 + 5*Y^13 + 6*Y^12 + 4*Y^11
        + 3*Y^10 + Y^9 + 4*Y^8 + 5*Y^7 + 4*Y^5 + 2*Y^3 + Y^2 + 4*Y + 6,
    T^32 + 10/7*T^31 + 37/49*T^30 - 2/7*T^29 - 39/49*T^28 - 3/49*T^27 - 12/49*T^26 -
        18/49*T^25 - 32/49*T^24 - 37/49*T^23 - 2/7*T^22 - 11/49*T^21 + 3/49*T^20 + 
        9/49*T^19 + 16/49*T^18 + 6/49*T^17 - 11/49*T^16 + 6/49*T^15 + 16/49*T^14 + 
        9/49*T^13 + 3/49*T^12 - 11/49*T^11 - 2/7*T^10 - 37/49*T^9 - 32/49*T^8 - 
        18/49*T^7 - 12/49*T^6 - 3/49*T^5 - 39/49*T^4 - 2/7*T^3 + 37/49*T^2 + 10/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + X*Y^6 + 3*X*Y^5 + X*Y^3 + 6*X*Y^2 + 6*X*Y + X + Y^18 +
        2*Y^17 + 2*Y^16 + Y^15 + 5*Y^14 + 2*Y^13 + 4*Y^12 + 4*Y^11 + 6*Y^10 + 4*Y^9 
        + 5*Y^8 + 4*Y^7 + 4*Y^6 + Y^5 + 3*Y^4 + 2*Y^3 + 6*Y^2 + 3*Y,
    T^32 + 4/7*T^31 - 4/7*T^30 - 1/49*T^29 + 6/7*T^28 + 19/49*T^27 - 4/7*T^26 - 
        29/49*T^25 + 5/49*T^24 + 34/49*T^23 - 2/49*T^22 - 12/49*T^21 + 26/49*T^20 + 
        27/49*T^19 + 8/49*T^18 + 11/49*T^17 + 26/49*T^16 + 11/49*T^15 + 8/49*T^14 + 
        27/49*T^13 + 26/49*T^12 - 12/49*T^11 - 2/49*T^10 + 34/49*T^9 + 5/49*T^8 - 
        29/49*T^7 - 4/7*T^6 + 19/49*T^5 + 6/7*T^4 - 1/49*T^3 - 4/7*T^2 + 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + X*Y^2 + 2*X*Y + 
        5*Y^18 + 5*Y^16 + 6*Y^15 + 2*Y^14 + Y^13 + 2*Y^12 + 6*Y^11 + 4*Y^9 + 2*Y^7 +
        2*Y^6 + 6*Y^5 + 2*Y^4 + 4*Y^3 + 6*Y^2 + 4*Y + 6,
    T^32 + 2/7*T^31 - 32/49*T^30 - 45/49*T^29 - 16/49*T^28 - 12/49*T^27 + 5/7*T^26 +
        33/49*T^25 + 17/49*T^24 + 13/49*T^23 - 3/49*T^22 - 4/7*T^21 - 36/49*T^20 - 
        29/49*T^19 - 2/7*T^18 + 34/49*T^17 + 41/49*T^16 + 34/49*T^15 - 2/7*T^14 - 
        29/49*T^13 - 36/49*T^12 - 4/7*T^11 - 3/49*T^10 + 13/49*T^9 + 17/49*T^8 + 
        33/49*T^7 + 5/7*T^6 - 12/49*T^5 - 16/49*T^4 - 45/49*T^3 - 32/49*T^2 + 2/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 
        5*X*Y^2 + 2*X*Y + 3*X + Y^18 + 6*Y^17 + 4*Y^14 + 3*Y^13 + 5*Y^12 + 2*Y^11 + 
        Y^8 + 4*Y^7 + 4*Y^6 + Y^5 + 3*Y^4 + 2*Y^3 + 3*Y^2 + 2*Y + 4,
    -T^32 - 1/7*T^31 + 43/49*T^30 + 11/49*T^29 + 3/7*T^28 - 2/49*T^27 - 2/49*T^26 + 
        8/49*T^25 - 26/49*T^24 + 6/49*T^23 + 1/7*T^22 + 8/49*T^21 - 24/49*T^20 - 
        32/49*T^19 + 41/49*T^18 - 1/7*T^17 + 1/7*T^15 - 41/49*T^14 + 32/49*T^13 + 
        24/49*T^12 - 8/49*T^11 - 1/7*T^10 - 6/49*T^9 + 26/49*T^8 - 8/49*T^7 + 
        2/49*T^6 + 2/49*T^5 - 3/7*T^4 - 11/49*T^3 - 43/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + X*Y^7 + 2*X*Y^6 + X*Y^5 + X*Y^4 + 2*X*Y^3 + X*Y^2 + 
        4*X*Y + X + 3*Y^18 + 5*Y^17 + 5*Y^15 + 3*Y^14 + Y^13 + 6*Y^12 + 2*Y^10 + 
        5*Y^9 + 3*Y^8 + Y^7 + 6*Y^6 + 5*Y^5 + 6*Y^4 + 5*Y^3 + 6*Y^2 + 6*Y,
    -T^32 - 6/7*T^31 - 6/49*T^30 - 45/49*T^29 - 15/49*T^28 + 55/49*T^27 + 5/7*T^26 +
        48/49*T^25 + 69/49*T^24 + 19/49*T^23 + 16/49*T^22 - 3/49*T^21 - 59/49*T^20 -
        24/49*T^19 - 8/49*T^18 - 57/49*T^17 + 57/49*T^15 + 8/49*T^14 + 24/49*T^13 + 
        59/49*T^12 + 3/49*T^11 - 16/49*T^10 - 19/49*T^9 - 69/49*T^8 - 48/49*T^7 - 
        5/7*T^6 - 55/49*T^5 + 15/49*T^4 + 45/49*T^3 + 6/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 4*X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 2*X*Y + 6*X + 
        5*Y^18 + 2*Y^17 + 3*Y^16 + 6*Y^15 + 2*Y^14 + 4*Y^13 + 2*Y^12 + 2*Y^11 + 
        2*Y^10 + 2*Y^9 + 5*Y^7 + 6*Y^6 + Y^5 + 6*Y^4 + Y^3 + 3*Y^2 + 3*Y + 6,
    T^32 + 4/7*T^31 + 23/49*T^30 + 17/49*T^29 - 37/49*T^28 + 1/49*T^27 + 15/49*T^26 
        + 10/49*T^25 + 29/49*T^24 + 4/49*T^23 + 1/49*T^22 - 9/49*T^21 - 12/49*T^20 -
        38/49*T^19 - 13/49*T^18 + 27/49*T^17 + 6/49*T^16 + 27/49*T^15 - 13/49*T^14 -
        38/49*T^13 - 12/49*T^12 - 9/49*T^11 + 1/49*T^10 + 4/49*T^9 + 29/49*T^8 + 
        10/49*T^7 + 15/49*T^6 + 1/49*T^5 - 37/49*T^4 + 17/49*T^3 + 23/49*T^2 + 4/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 
        6*X*Y^2 + 6*X*Y + 2*X + 2*Y^18 + 6*Y^17 + 5*Y^16 + Y^15 + 2*Y^14 + 6*Y^11 + 
        3*Y^10 + Y^9 + 6*Y^8 + 5*Y^7 + 2*Y^4 + 4*Y^3 + Y^2,
    -T^32 + 10/7*T^30 + 6/7*T^29 - 22/49*T^28 - 66/49*T^27 - 40/49*T^26 + 72/49*T^25
        + 64/49*T^24 - 9/7*T^23 - 111/49*T^22 - 1/7*T^21 + 109/49*T^20 + 90/49*T^19 
        - 39/49*T^18 - 97/49*T^17 + 97/49*T^15 + 39/49*T^14 - 90/49*T^13 - 
        109/49*T^12 + 1/7*T^11 + 111/49*T^10 + 9/7*T^9 - 64/49*T^8 - 72/49*T^7 + 
        40/49*T^6 + 66/49*T^5 + 22/49*T^4 - 6/7*T^3 - 10/7*T^2 + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + X*Y^2 
        + 3*X*Y + 4*X + Y^18 + 6*Y^17 + 6*Y^16 + 4*Y^15 + Y^14 + Y^13 + Y^12 + 
        4*Y^11 + 5*Y^10 + 6*Y^9 + 3*Y^8 + 2*Y^7 + 6*Y^6 + 6*Y^5 + 3*Y^4 + 2*Y^3 + 
        3*Y^2 + Y + 4,
    T^32 - 2*T^31 + 13/7*T^30 - 9/7*T^29 + 33/49*T^28 + 29/49*T^27 - 64/49*T^26 + 
        43/49*T^25 - 26/49*T^24 + 25/49*T^23 - 1/49*T^22 - 5/7*T^21 + 61/49*T^20 - 
        65/49*T^19 + 24/49*T^18 + 3/7*T^17 - 44/49*T^16 + 3/7*T^15 + 24/49*T^14 - 
        65/49*T^13 + 61/49*T^12 - 5/7*T^11 - 1/49*T^10 + 25/49*T^9 - 26/49*T^8 + 
        43/49*T^7 - 64/49*T^6 + 29/49*T^5 + 33/49*T^4 - 9/7*T^3 + 13/7*T^2 - 2*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + X*Y^3 + 4*X*Y^2 + 5*X*Y + 
        5*X + Y^18 + 4*Y^17 + 5*Y^16 + 5*Y^15 + 4*Y^14 + Y^13 + 5*Y^11 + 5*Y^10 + 
        4*Y^9 + 6*Y^8 + 6*Y^7 + 3*Y^6 + Y^5 + 5*Y^4 + 5*Y^3 + Y^2 + 3*Y + 5,
    -T^32 + 9/7*T^31 + 37/49*T^30 - 111/49*T^29 + 83/49*T^28 + 10/49*T^27 - 
        89/49*T^26 + 60/49*T^25 + 23/49*T^24 - 30/49*T^23 - 2/49*T^22 + 10/49*T^21 -
        4/49*T^20 + 3/49*T^19 - 5/49*T^18 - 1/49*T^17 + 1/49*T^15 + 5/49*T^14 - 
        3/49*T^13 + 4/49*T^12 - 10/49*T^11 + 2/49*T^10 + 30/49*T^9 - 23/49*T^8 - 
        60/49*T^7 + 89/49*T^6 - 10/49*T^5 - 83/49*T^4 + 111/49*T^3 - 37/49*T^2 - 
        9/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 
        + 5*X*Y + 3*X + Y^18 + 2*Y^17 + Y^16 + 3*Y^15 + 2*Y^14 + Y^13 + Y^12 + 
        2*Y^11 + Y^10 + 2*Y^9 + 5*Y^8 + 6*Y^7 + 5*Y^6 + 3*Y^5 + 2*Y^4 + 3*Y^3 + 
        4*Y^2 + 3*Y + 5,
    T^32 - 4/7*T^31 - 66/49*T^30 + 55/49*T^29 + 72/49*T^28 - 83/49*T^27 - 31/49*T^26
        + 80/49*T^25 - 2/7*T^24 - 54/49*T^23 + 52/49*T^22 + 34/49*T^21 - 79/49*T^20 
        - 6/49*T^19 + 68/49*T^18 + 10/49*T^17 - 82/49*T^16 + 10/49*T^15 + 68/49*T^14
        - 6/49*T^13 - 79/49*T^12 + 34/49*T^11 + 52/49*T^10 - 54/49*T^9 - 2/7*T^8 + 
        80/49*T^7 - 31/49*T^6 - 83/49*T^5 + 72/49*T^4 + 55/49*T^3 - 66/49*T^2 - 
        4/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + X + 
        4*Y^18 + 4*Y^16 + Y^15 + Y^14 + 4*Y^12 + 5*Y^11 + Y^10 + Y^9 + 6*Y^7 + 4*Y^6
        + 6*Y^5 + 4*Y^4 + 4*Y^3 + Y^2 + 3*Y + 4,
    -T^32 + 10/7*T^31 - 102/49*T^30 + 117/49*T^29 - 151/49*T^28 + 18/7*T^27 - 
        94/49*T^26 + 31/49*T^25 - 25/49*T^24 + 8/49*T^23 - 1/7*T^22 + 34/49*T^21 - 
        83/49*T^20 + 103/49*T^19 - 93/49*T^18 + 45/49*T^17 - 45/49*T^15 + 93/49*T^14
        - 103/49*T^13 + 83/49*T^12 - 34/49*T^11 + 1/7*T^10 - 8/49*T^9 + 25/49*T^8 - 
        31/49*T^7 + 94/49*T^6 - 18/7*T^5 + 151/49*T^4 - 117/49*T^3 + 102/49*T^2 - 
        10/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + X*Y^4 + 4*X*Y^2 + 6*X*Y + Y^18 + 
        3*Y^17 + 4*Y^16 + 2*Y^15 + 5*Y^14 + 4*Y^13 + 5*Y^12 + 6*Y^11 + Y^10 + Y^9 + 
        4*Y^7 + 6*Y^6 + 6*Y^5 + 2*Y^4 + 3*Y^3 + Y^2 + 6*Y + 3,
    -T^32 + 12/7*T^31 - 40/49*T^30 - 18/49*T^29 + 23/49*T^28 - 23/49*T^27 + 3/7*T^26
        - 2/49*T^25 - 1/7*T^24 - 9/49*T^23 + 8/49*T^21 + 6/49*T^20 - 16/49*T^19 - 
        1/49*T^18 + 2/7*T^17 - 2/7*T^15 + 1/49*T^14 + 16/49*T^13 - 6/49*T^12 - 
        8/49*T^11 + 9/49*T^9 + 1/7*T^8 + 2/49*T^7 - 3/7*T^6 + 23/49*T^5 - 23/49*T^4 
        + 18/49*T^3 + 40/49*T^2 - 12/7*T + 1
*], [*
    X^3 + 3*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + X*Y^2 + 4*X*Y + 2*X + 2*Y^18 + 
        2*Y^16 + 3*Y^15 + 4*Y^14 + Y^13 + 4*Y^12 + 3*Y^11 + 6*Y^10 + 4*Y^9 + Y^8 + 
        Y^7 + 3*Y^5 + 2*Y^4 + 6*Y^3 + 6*Y^2 + 2*Y + 6,
    T^32 + 2/7*T^31 + 1/49*T^30 + 1/7*T^29 - 10/49*T^28 + 1/49*T^27 + 39/49*T^26 + 
        8/49*T^25 + 6/49*T^24 - 6/49*T^23 + 4/49*T^22 - 25/49*T^21 - 17/49*T^20 - 
        19/49*T^19 - 22/49*T^18 - 29/49*T^17 - 2/49*T^16 - 29/49*T^15 - 22/49*T^14 -
        19/49*T^13 - 17/49*T^12 - 25/49*T^11 + 4/49*T^10 - 6/49*T^9 + 6/49*T^8 + 
        8/49*T^7 + 39/49*T^6 + 1/49*T^5 - 10/49*T^4 + 1/7*T^3 + 1/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + X*Y^3 + 4*X*Y^2 + X*Y + 
        5*X + 2*Y^18 + 5*Y^16 + 4*Y^15 + 2*Y^14 + 5*Y^13 + Y^12 + 2*Y^11 + 6*Y^10 + 
        4*Y^9 + Y^8 + 4*Y^7 + 4*Y^6 + 6*Y^5 + 4*Y^4 + 3*Y^3 + 2*Y^2 + 5*Y + 1,
    T^32 - 8/7*T^31 + 18/49*T^30 + 26/49*T^29 - 4/7*T^28 - 2/49*T^27 - 4/49*T^26 - 
        3/49*T^25 - 20/49*T^24 + 30/49*T^23 - 51/49*T^22 + 29/49*T^21 + 1/49*T^20 - 
        10/49*T^19 + 23/49*T^18 - 15/49*T^17 + 26/49*T^16 - 15/49*T^15 + 23/49*T^14 
        - 10/49*T^13 + 1/49*T^12 + 29/49*T^11 - 51/49*T^10 + 30/49*T^9 - 20/49*T^8 -
        3/49*T^7 - 4/49*T^6 - 2/49*T^5 - 4/7*T^4 + 26/49*T^3 + 18/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 4*X*Y^7 + X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 5*X*Y + 4*Y^18 +
        5*Y^17 + 2*Y^16 + 3*Y^14 + 4*Y^13 + 2*Y^12 + 3*Y^11 + 3*Y^10 + 2*Y^9 + Y^8 +
        2*Y^7 + 2*Y^6 + 2*Y^4 + Y^3 + 6*Y^2 + 4*Y + 6,
    T^32 + 16/7*T^31 + 92/49*T^30 + 2/7*T^29 - 36/49*T^28 - 78/49*T^27 - 114/49*T^26
        - 10/7*T^25 + 13/49*T^24 + 62/49*T^23 + 64/49*T^22 + 18/49*T^21 - 6/7*T^20 -
        37/49*T^19 + 20/49*T^18 + 6/7*T^17 + 38/49*T^16 + 6/7*T^15 + 20/49*T^14 - 
        37/49*T^13 - 6/7*T^12 + 18/49*T^11 + 64/49*T^10 + 62/49*T^9 + 13/49*T^8 - 
        10/7*T^7 - 114/49*T^6 - 78/49*T^5 - 36/49*T^4 + 2/7*T^3 + 92/49*T^2 + 16/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        6*X*Y^2 + 2*X*Y + X + 6*Y^18 + Y^16 + 5*Y^15 + 5*Y^14 + 2*Y^13 + 4*Y^12 + 
        6*Y^11 + 4*Y^10 + 2*Y^8 + Y^7 + 3*Y^6 + 4*Y^5 + 3*Y^4 + Y^3 + 3*Y^2 + 5*Y,
    -T^32 + 48/49*T^30 - 2/7*T^29 - 51/49*T^28 + 16/49*T^27 + 38/49*T^26 - 
        20/49*T^25 - 16/49*T^24 - 2/49*T^23 - 6/49*T^22 + 4/49*T^21 + 11/49*T^20 - 
        3/7*T^19 - 6/49*T^18 + 36/49*T^17 - 36/49*T^15 + 6/49*T^14 + 3/7*T^13 - 
        11/49*T^12 - 4/49*T^11 + 6/49*T^10 + 2/49*T^9 + 16/49*T^8 + 20/49*T^7 - 
        38/49*T^6 - 16/49*T^5 + 51/49*T^4 + 2/7*T^3 - 48/49*T^2 + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + 3*X*Y 
        + 6*X + 3*Y^18 + 4*Y^16 + Y^15 + Y^13 + Y^12 + 3*Y^11 + 2*Y^10 + 6*Y^9 + 
        3*Y^8 + Y^7 + Y^6 + 3*Y^5 + 4*Y^4 + 2*Y^3 + Y^2 + 5*Y + 2,
    T^32 - 13/7*T^31 + 136/49*T^30 - 16/7*T^29 + 44/49*T^28 + 45/49*T^27 - 
        116/49*T^26 + 115/49*T^25 - 92/49*T^24 + 13/49*T^23 + 22/49*T^22 - T^21 + 
        36/49*T^20 - 8/49*T^19 - 27/49*T^18 + 78/49*T^17 - 86/49*T^16 + 78/49*T^15 -
        27/49*T^14 - 8/49*T^13 + 36/49*T^12 - T^11 + 22/49*T^10 + 13/49*T^9 - 
        92/49*T^8 + 115/49*T^7 - 116/49*T^6 + 45/49*T^5 + 44/49*T^4 - 16/7*T^3 + 
        136/49*T^2 - 13/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 3*X*Y^6 + 5*X*Y^5 + 4*X*Y^2 + X*Y + X + 4*Y^18 + Y^16 
        + 5*Y^14 + 5*Y^13 + Y^12 + 6*Y^11 + 3*Y^10 + 4*Y^9 + 4*Y^8 + 3*Y^6 + 3*Y^4 +
        4*Y^3 + 6*Y^2 + 2*Y + 3,
    T^32 + 9/7*T^31 + 55/49*T^30 + 44/49*T^29 + 10/49*T^28 - 31/49*T^27 - 52/49*T^26
        - 41/49*T^25 - 4/7*T^24 - 4/49*T^23 + 3/7*T^22 + 13/49*T^21 - 12/49*T^20 - 
        17/49*T^19 - 24/49*T^18 - 30/49*T^17 - 4/7*T^16 - 30/49*T^15 - 24/49*T^14 - 
        17/49*T^13 - 12/49*T^12 + 13/49*T^11 + 3/7*T^10 - 4/49*T^9 - 4/7*T^8 - 
        41/49*T^7 - 52/49*T^6 - 31/49*T^5 + 10/49*T^4 + 44/49*T^3 + 55/49*T^2 + 
        9/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + X*Y^3 + 5*X*Y^2 + 4*X*Y 
        + 6*X + 3*Y^18 + 4*Y^17 + 6*Y^16 + 4*Y^15 + 4*Y^13 + 4*Y^12 + 3*Y^10 + 2*Y^9
        + 3*Y^8 + 6*Y^7 + 2*Y^6 + 5*Y^5 + 4*Y^4 + 2*Y^3 + 2*Y^2 + 4*Y,
    T^32 - 4/7*T^31 + 32/49*T^30 - 25/49*T^29 - 12/49*T^28 - 10/49*T^27 + 1/7*T^26 -
        1/7*T^25 - 1/7*T^24 + 15/49*T^23 - 5/7*T^22 + 25/49*T^21 + 20/49*T^20 - 
        8/49*T^19 + 9/49*T^18 + 6/49*T^17 - 46/49*T^16 + 6/49*T^15 + 9/49*T^14 - 
        8/49*T^13 + 20/49*T^12 + 25/49*T^11 - 5/7*T^10 + 15/49*T^9 - 1/7*T^8 - 
        1/7*T^7 + 1/7*T^6 - 10/49*T^5 - 12/49*T^4 - 25/49*T^3 + 32/49*T^2 - 4/7*T + 
        1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 2*X*Y^6 + 6*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 3*X*Y + 5*X + 
        2*Y^18 + 4*Y^16 + 5*Y^15 + Y^14 + 5*Y^12 + 2*Y^10 + Y^9 + 6*Y^8 + 3*Y^7 + 
        3*Y^6 + Y^5 + Y^4 + 6*Y,
    T^32 + 4/7*T^31 - 26/49*T^30 - 4/49*T^29 - 22/49*T^28 - 4/49*T^27 + 1/7*T^26 - 
        12/49*T^25 + 2/49*T^24 - 10/49*T^23 + 26/49*T^22 + 3/7*T^21 - 2/7*T^20 - 
        1/7*T^19 - 29/49*T^18 - 2/49*T^17 + 43/49*T^16 - 2/49*T^15 - 29/49*T^14 - 
        1/7*T^13 - 2/7*T^12 + 3/7*T^11 + 26/49*T^10 - 10/49*T^9 + 2/49*T^8 - 
        12/49*T^7 + 1/7*T^6 - 4/49*T^5 - 22/49*T^4 - 4/49*T^3 - 26/49*T^2 + 4/7*T + 
        1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 4*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + 2*X*Y + 
        2*X + 4*Y^18 + 3*Y^17 + 5*Y^16 + 6*Y^15 + 4*Y^14 + 3*Y^13 + 4*Y^10 + 2*Y^9 +
        6*Y^8 + Y^6 + Y^5 + 3*Y^4 + 6*Y^3 + 2*Y^2 + 2*Y + 1,
    T^32 + 18/7*T^31 + 148/49*T^30 + 83/49*T^29 + 3/49*T^28 - 43/49*T^27 - 
        50/49*T^26 - 32/49*T^25 - 8/49*T^24 - 6/49*T^23 - 5/49*T^22 + 36/49*T^21 + 
        101/49*T^20 + 113/49*T^19 + 41/49*T^18 - 8/7*T^17 - 100/49*T^16 - 8/7*T^15 +
        41/49*T^14 + 113/49*T^13 + 101/49*T^12 + 36/49*T^11 - 5/49*T^10 - 6/49*T^9 -
        8/49*T^8 - 32/49*T^7 - 50/49*T^6 - 43/49*T^5 + 3/49*T^4 + 83/49*T^3 + 
        148/49*T^2 + 18/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 
        3*X*Y^2 + 5*X*Y + 6*X + 4*Y^18 + 4*Y^17 + 2*Y^16 + 2*Y^15 + 5*Y^14 + 2*Y^13 
        + 4*Y^12 + 5*Y^11 + 3*Y^9 + 5*Y^7 + 4*Y^6 + 4*Y^4 + 2*Y^3 + 3*Y^2 + 2*Y + 1,
    -T^32 - 11/7*T^31 - 60/49*T^30 - 8/7*T^29 - 2/7*T^28 + 48/49*T^27 + 43/49*T^26 +
        32/49*T^25 + 3/7*T^24 + 13/49*T^23 + 3/49*T^22 - 10/49*T^21 - 16/49*T^20 - 
        51/49*T^19 - 73/49*T^18 - 31/49*T^17 + 31/49*T^15 + 73/49*T^14 + 51/49*T^13 
        + 16/49*T^12 + 10/49*T^11 - 3/49*T^10 - 13/49*T^9 - 3/7*T^8 - 32/49*T^7 - 
        43/49*T^6 - 48/49*T^5 + 2/7*T^4 + 8/7*T^3 + 60/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + X*Y^3 + 2*X*Y 
        + 6*X + 5*Y^18 + 6*Y^16 + 4*Y^14 + 3*Y^13 + 2*Y^12 + 2*Y^11 + 5*Y^10 + 3*Y^7
        + 2*Y^6 + 5*Y^5 + Y^4 + 2*Y^3 + Y^2 + 4,
    -T^32 + 5/7*T^31 + 15/49*T^30 - 3/7*T^29 - 6/49*T^28 + 4/7*T^27 - 25/49*T^26 - 
        2/7*T^25 + 8/7*T^24 - 2/49*T^23 - 12/49*T^22 - 6/49*T^21 - 17/49*T^20 - 
        12/49*T^19 + 23/49*T^18 + 1/7*T^17 - 1/7*T^15 - 23/49*T^14 + 12/49*T^13 + 
        17/49*T^12 + 6/49*T^11 + 12/49*T^10 + 2/49*T^9 - 8/7*T^8 + 2/7*T^7 + 
        25/49*T^6 - 4/7*T^5 + 6/49*T^4 + 3/7*T^3 - 15/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + X*Y^7 + 6*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 6*X*Y + 4*Y^18 + 5*Y^17 + 
        6*Y^15 + Y^14 + 3*Y^13 + Y^12 + 4*Y^11 + 5*Y^10 + 4*Y^9 + 2*Y^8 + 5*Y^7 + 
        Y^5 + 2*Y^4 + Y^3 + 5*Y^2 + Y + 3,
    T^32 + 4/7*T^31 + 1/49*T^30 - 33/49*T^29 + 24/49*T^28 + 58/49*T^27 - 9/49*T^26 -
        54/49*T^25 - 29/49*T^24 + 26/49*T^23 + 19/49*T^22 - 34/49*T^21 - 13/49*T^20 
        + 23/49*T^19 + 34/49*T^18 + 34/49*T^17 + 8/49*T^16 + 34/49*T^15 + 34/49*T^14
        + 23/49*T^13 - 13/49*T^12 - 34/49*T^11 + 19/49*T^10 + 26/49*T^9 - 29/49*T^8 
        - 54/49*T^7 - 9/49*T^6 + 58/49*T^5 + 24/49*T^4 - 33/49*T^3 + 1/49*T^2 + 
        4/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + X*Y^6 + 4*X*Y^5 + 4*X*Y^3 + X*Y^2 + 6*X*Y + 
        5*X + 3*Y^18 + 3*Y^17 + Y^16 + 4*Y^15 + Y^14 + 2*Y^13 + 4*Y^12 + 2*Y^11 + 
        6*Y^10 + 2*Y^9 + Y^8 + 6*Y^7 + 5*Y^6 + 3*Y^5 + 4*Y^4 + Y^2 + 6*Y + 5,
    -T^32 - 1/7*T^31 + 10/7*T^30 - 57/49*T^29 - 43/49*T^28 + 100/49*T^27 - 
        41/49*T^26 - 53/49*T^25 + 17/7*T^24 - 32/49*T^23 - 9/7*T^22 + 12/7*T^21 - 
        60/49*T^20 - 39/49*T^19 + 11/7*T^18 - 64/49*T^17 + 64/49*T^15 - 11/7*T^14 + 
        39/49*T^13 + 60/49*T^12 - 12/7*T^11 + 9/7*T^10 + 32/49*T^9 - 17/7*T^8 + 
        53/49*T^7 + 41/49*T^6 - 100/49*T^5 + 43/49*T^4 + 57/49*T^3 - 10/7*T^2 + 
        1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 4*Y^18
        + 5*Y^16 + 2*Y^15 + 6*Y^14 + 4*Y^13 + 5*Y^12 + 3*Y^11 + 4*Y^10 + 2*Y^9 + 
        6*Y^7 + 2*Y^5 + 2*Y^4 + 6*Y^3 + 2*Y^2 + Y + 6,
    T^32 + 6/7*T^31 + 33/49*T^30 + 10/49*T^29 - 6/49*T^28 - 27/49*T^27 - 5/7*T^26 - 
        2/7*T^25 - 9/49*T^24 + 1/7*T^23 + 13/49*T^22 + 34/49*T^21 + 16/49*T^20 + 
        5/49*T^19 - 12/49*T^18 - 33/49*T^17 - 46/49*T^16 - 33/49*T^15 - 12/49*T^14 +
        5/49*T^13 + 16/49*T^12 + 34/49*T^11 + 13/49*T^10 + 1/7*T^9 - 9/49*T^8 - 
        2/7*T^7 - 5/7*T^6 - 27/49*T^5 - 6/49*T^4 + 10/49*T^3 + 33/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + X*Y^5 + 4*X*Y^4 + 5*X*Y^2 + 2*X*Y + 2*X + 
        Y^18 + 2*Y^16 + 6*Y^15 + 5*Y^14 + 5*Y^13 + 3*Y^12 + 4*Y^11 + 3*Y^10 + 3*Y^9 
        + 4*Y^7 + 4*Y^6 + 5*Y^5 + 6*Y^4 + 3*Y^3 + 4*Y^2 + Y + 6,
    T^32 - 2*T^31 + 100/49*T^30 - 6/7*T^29 - 52/49*T^28 + 156/49*T^27 - 208/49*T^26 
        + 160/49*T^25 - 48/49*T^24 - 45/49*T^23 + 93/49*T^22 - 75/49*T^21 + 
        23/49*T^20 + 1/7*T^19 + 18/49*T^18 - 54/49*T^17 + 68/49*T^16 - 54/49*T^15 + 
        18/49*T^14 + 1/7*T^13 + 23/49*T^12 - 75/49*T^11 + 93/49*T^10 - 45/49*T^9 - 
        48/49*T^8 + 160/49*T^7 - 208/49*T^6 + 156/49*T^5 - 52/49*T^4 - 6/7*T^3 + 
        100/49*T^2 - 2*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + X*Y^6 + 6*X*Y^5 + X*Y^4 + 3*X*Y^3 + 5*X*Y^2 
        + 2*X*Y + X + Y^18 + Y^17 + 6*Y^16 + 5*Y^15 + 3*Y^13 + 5*Y^11 + 2*Y^9 + 
        5*Y^8 + Y^7 + Y^6 + 2*Y^5 + 3*Y^4 + Y^3 + Y^2 + 5*Y + 4,
    -T^32 + 24/7*T^31 - 261/49*T^30 + 205/49*T^29 - 41/49*T^28 - 78/49*T^27 + 
        102/49*T^26 - 146/49*T^25 + 246/49*T^24 - 248/49*T^23 + 57/49*T^22 + 4*T^21 
        - 337/49*T^20 + 326/49*T^19 - 242/49*T^18 + 134/49*T^17 - 134/49*T^15 + 
        242/49*T^14 - 326/49*T^13 + 337/49*T^12 - 4*T^11 - 57/49*T^10 + 248/49*T^9 -
        246/49*T^8 + 146/49*T^7 - 102/49*T^6 + 78/49*T^5 + 41/49*T^4 - 205/49*T^3 + 
        261/49*T^2 - 24/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        X*Y^2 + 4*X*Y + 2*X + Y^18 + Y^16 + Y^15 + 5*Y^14 + Y^13 + Y^12 + Y^11 + 
        2*Y^10 + 2*Y^9 + 6*Y^8 + Y^7 + 2*Y^6 + 2*Y^5 + 4*Y^4 + 4*Y^3 + 6*Y + 1,
    -T^32 + 2/7*T^31 + 2/7*T^30 - 24/49*T^29 - 50/49*T^28 + 19/49*T^27 + 1/49*T^26 -
        23/49*T^25 - 6/49*T^24 - 13/49*T^23 + 1/7*T^22 - 36/49*T^21 + 9/49*T^20 - 
        3/49*T^19 - 2/49*T^18 - 4/7*T^17 + 4/7*T^15 + 2/49*T^14 + 3/49*T^13 - 
        9/49*T^12 + 36/49*T^11 - 1/7*T^10 + 13/49*T^9 + 6/49*T^8 + 23/49*T^7 - 
        1/49*T^6 - 19/49*T^5 + 50/49*T^4 + 24/49*T^3 - 2/7*T^2 - 2/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 6*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + 2*X + 
        Y^18 + 3*Y^17 + 6*Y^16 + 2*Y^15 + 3*Y^14 + 3*Y^12 + 6*Y^11 + 3*Y^10 + 3*Y^9 
        + 2*Y^7 + 2*Y^6 + 6*Y^4 + 4*Y^3 + 5*Y^2 + 5*Y + 6,
    T^32 - 22/7*T^31 + 250/49*T^30 - 283/49*T^29 + 282/49*T^28 - 293/49*T^27 + 
        314/49*T^26 - 309/49*T^25 + 242/49*T^24 - 131/49*T^23 + 17/49*T^22 + 
        79/49*T^21 - 167/49*T^20 + 247/49*T^19 - 319/49*T^18 + 382/49*T^17 - 
        411/49*T^16 + 382/49*T^15 - 319/49*T^14 + 247/49*T^13 - 167/49*T^12 + 
        79/49*T^11 + 17/49*T^10 - 131/49*T^9 + 242/49*T^8 - 309/49*T^7 + 314/49*T^6 
        - 293/49*T^5 + 282/49*T^4 - 283/49*T^3 + 250/49*T^2 - 22/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 3*X*Y^5 + 4*X*Y^4 + X*Y^3 + X*Y^2 + 6*X*Y + 6*X + 
        3*Y^18 + 6*Y^15 + 2*Y^14 + Y^13 + 6*Y^12 + 4*Y^11 + 4*Y^9 + 4*Y^8 + Y^7 + 
        4*Y^6 + 2*Y^5 + 3*Y^4 + 4*Y^3 + 2*Y^2 + 3*Y + 4,
    -T^32 + 2/7*T^31 + 12/49*T^30 + 25/49*T^29 - 6/49*T^28 + 1/49*T^27 + 22/49*T^26 
        - 11/49*T^25 - 4/49*T^24 - 2/7*T^23 - 2/7*T^22 - 18/49*T^21 + 17/49*T^20 + 
        39/49*T^19 + 2/7*T^18 - 30/49*T^17 + 30/49*T^15 - 2/7*T^14 - 39/49*T^13 - 
        17/49*T^12 + 18/49*T^11 + 2/7*T^10 + 2/7*T^9 + 4/49*T^8 + 11/49*T^7 - 
        22/49*T^6 - 1/49*T^5 + 6/49*T^4 - 25/49*T^3 - 12/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 4*X*Y^6 + X*Y^5 + 6*X*Y^4 + 4*X*Y^2 + 3*X*Y + 2*X + 
        6*Y^18 + 4*Y^17 + 6*Y^16 + Y^14 + 4*Y^13 + 5*Y^12 + 3*Y^11 + 3*Y^10 + 2*Y^9 
        + 6*Y^8 + 6*Y^7 + 5*Y^6 + 5*Y^4 + Y^3 + 2*Y^2 + 2*Y + 3,
    T^32 + 5/7*T^31 - 34/49*T^30 + 1/7*T^29 + 57/49*T^28 - 8/49*T^27 - 61/49*T^26 + 
        10/49*T^25 + 31/49*T^24 - 52/49*T^23 - 34/49*T^22 + 23/49*T^21 - 19/49*T^20 
        - 5/7*T^19 + 39/49*T^18 + 20/49*T^17 - 52/49*T^16 + 20/49*T^15 + 39/49*T^14 
        - 5/7*T^13 - 19/49*T^12 + 23/49*T^11 - 34/49*T^10 - 52/49*T^9 + 31/49*T^8 + 
        10/49*T^7 - 61/49*T^6 - 8/49*T^5 + 57/49*T^4 + 1/7*T^3 - 34/49*T^2 + 5/7*T +
        1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + X*Y^7 + 4*X*Y^6 + 2*X*Y^3 + 2*X*Y^2 + X*Y + 6*X + 
        4*Y^18 + 6*Y^17 + 2*Y^16 + 6*Y^15 + 6*Y^14 + 2*Y^13 + 6*Y^12 + 5*Y^11 + 
        5*Y^10 + 4*Y^9 + 3*Y^8 + 4*Y^6 + Y^5 + 3*Y^4 + 3*Y^3 + 5*Y^2 + 5*Y + 5,
    T^32 + 12/7*T^31 + 107/49*T^30 + 135/49*T^29 + 110/49*T^28 + 97/49*T^27 + 
        97/49*T^26 + 104/49*T^25 + 115/49*T^24 + 116/49*T^23 + 89/49*T^22 + 
        46/49*T^21 + 12/49*T^20 + 4/49*T^19 + 19/49*T^18 + 38/49*T^17 + 8/7*T^16 + 
        38/49*T^15 + 19/49*T^14 + 4/49*T^13 + 12/49*T^12 + 46/49*T^11 + 89/49*T^10 +
        116/49*T^9 + 115/49*T^8 + 104/49*T^7 + 97/49*T^6 + 97/49*T^5 + 110/49*T^4 + 
        135/49*T^3 + 107/49*T^2 + 12/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + X*Y^3 + 4*X*Y^2 + 
        X*Y + 5*X + Y^18 + 5*Y^17 + 5*Y^16 + 4*Y^15 + 4*Y^14 + 5*Y^13 + 3*Y^11 + 
        Y^10 + 2*Y^8 + Y^7 + 3*Y^6 + Y^5 + 6*Y^4 + 5*Y^3 + 3*Y^2 + 4*Y,
    T^32 - 9/7*T^31 + 74/49*T^30 - 30/49*T^29 + 6/49*T^28 + 10/49*T^27 - 46/49*T^26 
        + 26/49*T^25 - 38/49*T^24 - 5/7*T^23 + 23/49*T^22 - 6/7*T^21 + 23/49*T^20 + 
        6/49*T^19 - 22/49*T^18 + 92/49*T^17 - 66/49*T^16 + 92/49*T^15 - 22/49*T^14 +
        6/49*T^13 + 23/49*T^12 - 6/7*T^11 + 23/49*T^10 - 5/7*T^9 - 38/49*T^8 + 
        26/49*T^7 - 46/49*T^6 + 10/49*T^5 + 6/49*T^4 - 30/49*T^3 + 74/49*T^2 - 9/7*T
        + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + X*Y + 6*Y^18 + 4*Y^17 + 6*Y^16 + 4*Y^15 + 2*Y^14 + 4*Y^13 + 6*Y^12
        + 6*Y^11 + Y^10 + Y^9 + 3*Y^8 + 4*Y^7 + 3*Y^6 + 4*Y^5 + 2*Y^4 + 5*Y^3 + Y^2 
        + Y + 3,
    T^32 - 13/7*T^31 + 46/49*T^30 + 29/49*T^29 - 50/49*T^28 + 66/49*T^27 - 
        61/49*T^26 - 1/49*T^25 + 41/49*T^24 - 2/7*T^23 + 1/7*T^22 - 3/49*T^21 - 
        6/7*T^20 + 8/7*T^19 + 12/49*T^18 - 58/49*T^17 + 64/49*T^16 - 58/49*T^15 + 
        12/49*T^14 + 8/7*T^13 - 6/7*T^12 - 3/49*T^11 + 1/7*T^10 - 2/7*T^9 + 
        41/49*T^8 - 1/49*T^7 - 61/49*T^6 + 66/49*T^5 - 50/49*T^4 + 29/49*T^3 + 
        46/49*T^2 - 13/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 4*X*Y + 3*X + 
        2*Y^18 + 4*Y^17 + 2*Y^16 + 6*Y^15 + Y^14 + 6*Y^13 + 4*Y^12 + 5*Y^11 + 3*Y^10
        + 5*Y^9 + Y^8 + 4*Y^7 + 3*Y^6 + 2*Y^4 + 2*Y^3 + 4*Y^2 + 6*Y + 4,
    T^32 - 53/49*T^30 - 16/49*T^29 - 5/49*T^28 + 66/49*T^27 + 37/49*T^26 - 
        51/49*T^25 - 26/49*T^24 - 20/49*T^23 + 3/7*T^22 + 30/49*T^21 - 27/49*T^20 + 
        6/49*T^19 - 4/49*T^18 - 17/49*T^17 + 3/7*T^16 - 17/49*T^15 - 4/49*T^14 + 
        6/49*T^13 - 27/49*T^12 + 30/49*T^11 + 3/7*T^10 - 20/49*T^9 - 26/49*T^8 - 
        51/49*T^7 + 37/49*T^6 + 66/49*T^5 - 5/49*T^4 - 16/49*T^3 - 53/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 5*X*Y^7 + X*Y^6 + 4*X*Y^5 + 4*X*Y^3 + 6*X*Y + X + Y^18 +
        4*Y^16 + 5*Y^15 + 2*Y^14 + 4*Y^13 + 5*Y^12 + 3*Y^11 + Y^10 + 3*Y^8 + 5*Y^7 +
        2*Y^5 + Y^4 + 6*Y^3 + 5*Y,
    T^32 - 8/7*T^31 + 33/49*T^30 - 3/49*T^29 - 3/7*T^28 + 34/49*T^27 - 15/49*T^26 - 
        5/49*T^25 - 9/49*T^24 + 30/49*T^23 - 1/7*T^22 + 19/49*T^21 - 2/7*T^20 + 
        2/7*T^19 - 3/49*T^18 - 15/49*T^17 + 19/49*T^16 - 15/49*T^15 - 3/49*T^14 + 
        2/7*T^13 - 2/7*T^12 + 19/49*T^11 - 1/7*T^10 + 30/49*T^9 - 9/49*T^8 - 
        5/49*T^7 - 15/49*T^6 + 34/49*T^5 - 3/7*T^4 - 3/49*T^3 + 33/49*T^2 - 8/7*T + 
        1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 5*X*Y^6 + 2*X*Y^5 + 3*X*Y^3 + 4*X*Y^2 + 4*X*Y + 6*X + 
        4*Y^18 + 4*Y^16 + Y^15 + 3*Y^14 + 5*Y^13 + 6*Y^12 + 5*Y^11 + 5*Y^10 + 6*Y^9 
        + 3*Y^8 + 2*Y^7 + 3*Y^6 + Y^5 + 2*Y^4 + 3*Y^2 + 6*Y + 4,
    T^32 + 1/7*T^31 - 72/49*T^30 + 58/49*T^29 + 57/49*T^28 - 82/49*T^27 + 4/49*T^26 
        + 5/7*T^25 - 22/49*T^24 + 1/49*T^23 - 22/49*T^22 + 17/49*T^21 + 26/49*T^20 -
        59/49*T^19 + 36/49*T^18 + 38/49*T^17 - 78/49*T^16 + 38/49*T^15 + 36/49*T^14 
        - 59/49*T^13 + 26/49*T^12 + 17/49*T^11 - 22/49*T^10 + 1/49*T^9 - 22/49*T^8 +
        5/7*T^7 + 4/49*T^6 - 82/49*T^5 + 57/49*T^4 + 58/49*T^3 - 72/49*T^2 + 1/7*T +
        1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + X*Y^4 + 2*X*Y^3 + 3*X*Y + 5*X + 
        3*Y^18 + 2*Y^17 + 5*Y^15 + 2*Y^14 + 4*Y^13 + 5*Y^12 + 4*Y^11 + 2*Y^9 + 3*Y^7
        + 3*Y^6 + 4*Y^5 + 4*Y^4 + 3*Y^3 + 5*Y^2 + 5*Y + 4,
    -T^32 + 10/7*T^31 - 26/49*T^30 - 16/49*T^29 + 47/49*T^28 - 86/49*T^27 + 
        85/49*T^26 - 9/49*T^25 - 41/49*T^24 + 50/49*T^23 - 65/49*T^22 + 47/49*T^21 +
        3/7*T^20 - 68/49*T^19 + 12/7*T^18 - 64/49*T^17 + 64/49*T^15 - 12/7*T^14 + 
        68/49*T^13 - 3/7*T^12 - 47/49*T^11 + 65/49*T^10 - 50/49*T^9 + 41/49*T^8 + 
        9/49*T^7 - 85/49*T^6 + 86/49*T^5 - 47/49*T^4 + 16/49*T^3 + 26/49*T^2 - 
        10/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^7 + X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + X + 
        3*Y^18 + 3*Y^15 + 5*Y^13 + 2*Y^12 + Y^10 + 2*Y^9 + Y^8 + 4*Y^7 + 4*Y^6 + 
        2*Y^5 + 6*Y^3 + 3*Y^2 + 2*Y + 4,
    T^32 - 11/7*T^31 + 66/49*T^30 - 54/49*T^29 + 5/7*T^28 - 47/49*T^27 + 47/49*T^26 
        - 18/49*T^25 + 23/49*T^24 - 16/49*T^23 + 10/49*T^22 - 12/49*T^21 - 
        16/49*T^20 + 38/49*T^19 - 47/49*T^18 + 36/49*T^17 - 9/49*T^16 + 36/49*T^15 -
        47/49*T^14 + 38/49*T^13 - 16/49*T^12 - 12/49*T^11 + 10/49*T^10 - 16/49*T^9 +
        23/49*T^8 - 18/49*T^7 + 47/49*T^6 - 47/49*T^5 + 5/7*T^4 - 54/49*T^3 + 
        66/49*T^2 - 11/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + X*Y^5 + X*Y^4 + X*Y^3 + 3*X*Y^2 + 6*X*Y + 6*X + 2*Y^18 + 2*Y^17 
        + 6*Y^16 + 4*Y^15 + 4*Y^14 + 4*Y^13 + 6*Y^12 + 6*Y^11 + 5*Y^10 + 6*Y^9 + 
        6*Y^7 + 2*Y^5 + 6*Y^4 + 5*Y^3 + 2*Y^2 + 6*Y + 5,
    T^32 - 4/7*T^31 - 51/49*T^30 - 1/7*T^29 + 37/49*T^28 + 64/49*T^27 - 54/49*T^26 -
        59/49*T^25 + 39/49*T^24 + 47/49*T^23 + 4/49*T^22 - 69/49*T^21 - 11/49*T^20 +
        60/49*T^19 + 32/49*T^18 - 12/49*T^17 - 73/49*T^16 - 12/49*T^15 + 32/49*T^14 
        + 60/49*T^13 - 11/49*T^12 - 69/49*T^11 + 4/49*T^10 + 47/49*T^9 + 39/49*T^8 -
        59/49*T^7 - 54/49*T^6 + 64/49*T^5 + 37/49*T^4 - 1/7*T^3 - 51/49*T^2 - 4/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 5*X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + 
        2*X*Y + 6*X + 3*Y^18 + 4*Y^16 + 2*Y^14 + 3*Y^13 + 6*Y^11 + 2*Y^10 + Y^8 + 
        3*Y^7 + 2*Y^5 + Y^3 + 3*Y^2 + Y + 5,
    -T^32 + T^31 + 47/49*T^30 - 150/49*T^29 + 55/49*T^28 + 79/49*T^27 - 86/49*T^26 +
        36/49*T^25 - 23/49*T^24 + 5/49*T^23 + 71/49*T^22 - 43/49*T^21 + 17/49*T^20 +
        22/49*T^19 - 38/49*T^18 + 64/49*T^17 - 64/49*T^15 + 38/49*T^14 - 22/49*T^13 
        - 17/49*T^12 + 43/49*T^11 - 71/49*T^10 - 5/49*T^9 + 23/49*T^8 - 36/49*T^7 + 
        86/49*T^6 - 79/49*T^5 - 55/49*T^4 + 150/49*T^3 - 47/49*T^2 - T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 5*X*Y^7 + X*Y^6 + 2*X*Y^5 + 6*X*Y^3 + X*Y^2 + 2*X*Y + 
        4*X + 3*Y^18 + 6*Y^17 + 6*Y^16 + 2*Y^15 + 6*Y^14 + 2*Y^13 + 5*Y^12 + 2*Y^11 
        + 3*Y^10 + 2*Y^9 + 4*Y^8 + 3*Y^7 + 3*Y^6 + 5*Y^5 + Y^4 + 3*Y^3 + 5*Y^2 + 
        6*Y,
    T^32 - 10/7*T^31 - 4/49*T^30 + 1/49*T^29 + 45/49*T^28 - 27/49*T^27 + 5/7*T^26 - 
        22/49*T^25 - 19/49*T^24 - 1/7*T^23 + 8/49*T^22 + 23/49*T^21 - 16/49*T^20 + 
        46/49*T^19 - 71/49*T^18 + 26/49*T^17 + 1/7*T^16 + 26/49*T^15 - 71/49*T^14 + 
        46/49*T^13 - 16/49*T^12 + 23/49*T^11 + 8/49*T^10 - 1/7*T^9 - 19/49*T^8 - 
        22/49*T^7 + 5/7*T^6 - 27/49*T^5 + 45/49*T^4 + 1/49*T^3 - 4/49*T^2 - 10/7*T +
        1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 5*X*Y + 5*Y^18 + Y^17 + 3*Y^15 + 
        2*Y^14 + 5*Y^13 + 6*Y^10 + 4*Y^9 + 2*Y^8 + 3*Y^7 + 4*Y^6 + Y^5 + 5*Y^3 + 4*Y
        + 2,
    T^32 + 2/7*T^31 - 87/49*T^30 - 17/49*T^29 + 68/49*T^28 - 31/49*T^27 - 50/49*T^26
        + 82/49*T^25 + 50/49*T^24 - 83/49*T^23 - 4/7*T^22 + 50/49*T^21 - 36/49*T^20 
        - 33/49*T^19 + 68/49*T^18 + 18/49*T^17 - 67/49*T^16 + 18/49*T^15 + 
        68/49*T^14 - 33/49*T^13 - 36/49*T^12 + 50/49*T^11 - 4/7*T^10 - 83/49*T^9 + 
        50/49*T^8 + 82/49*T^7 - 50/49*T^6 - 31/49*T^5 + 68/49*T^4 - 17/49*T^3 - 
        87/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + 3*X*Y + 3*Y^18 + 4*Y^17 + 2*Y^16 + 5*Y^15 + 4*Y^14 + Y^13 + 6*Y^12
        + 6*Y^11 + 3*Y^10 + 3*Y^9 + Y^8 + 3*Y^7 + 6*Y^5 + 3*Y^4 + 3*Y^3 + 4*Y^2 + 
        6*Y + 4,
    -T^32 - 10/7*T^31 - 65/49*T^30 + 15/49*T^29 + 61/49*T^28 + 61/49*T^27 + 3/7*T^26
        + 1/49*T^25 - 25/49*T^24 - 30/49*T^23 - 38/49*T^22 - 13/49*T^21 + 6/49*T^20 
        + 6/49*T^19 + 12/49*T^18 + 2/49*T^17 - 2/49*T^15 - 12/49*T^14 - 6/49*T^13 - 
        6/49*T^12 + 13/49*T^11 + 38/49*T^10 + 30/49*T^9 + 25/49*T^8 - 1/49*T^7 - 
        3/7*T^6 - 61/49*T^5 - 61/49*T^4 - 15/49*T^3 + 65/49*T^2 + 10/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 6*X*Y^2 + X*Y + 
        6*X + Y^18 + 3*Y^17 + 2*Y^16 + 5*Y^15 + 3*Y^14 + Y^13 + 6*Y^12 + 4*Y^11 + 
        Y^10 + 3*Y^9 + 6*Y^8 + Y^7 + Y^6 + 6*Y^5 + 4*Y^4 + 2*Y^3 + 3*Y + 1,
    -T^32 - T^31 + 2/7*T^30 + 22/49*T^29 - 3/49*T^28 - 65/49*T^27 - 58/49*T^26 - 
        17/49*T^25 - 4/49*T^24 + 4/7*T^23 - 39/49*T^22 - 60/49*T^21 - 27/49*T^20 - 
        2/7*T^19 + 34/49*T^18 - 5/49*T^17 + 5/49*T^15 - 34/49*T^14 + 2/7*T^13 + 
        27/49*T^12 + 60/49*T^11 + 39/49*T^10 - 4/7*T^9 + 4/49*T^8 + 17/49*T^7 + 
        58/49*T^6 + 65/49*T^5 + 3/49*T^4 - 22/49*T^3 - 2/7*T^2 + T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + X*Y^5 + 3*X*Y^3 + 4*X*Y^2 + 6*X*Y + 
        4*X + Y^18 + 6*Y^17 + 5*Y^16 + 2*Y^15 + Y^14 + 5*Y^12 + Y^11 + 5*Y^10 + 
        4*Y^9 + 2*Y^8 + 6*Y^7 + Y^6 + 3*Y^5 + 4*Y^4 + 5*Y^2 + 4*Y + 4,
    -T^32 - 3/7*T^31 + 4/49*T^30 - T^29 - 1/7*T^28 + 11/49*T^27 - 45/49*T^26 - 
        30/49*T^25 - 9/49*T^24 - 41/49*T^23 - 31/49*T^22 - 20/49*T^20 - 16/49*T^19 +
        2/49*T^18 - 5/49*T^17 + 5/49*T^15 - 2/49*T^14 + 16/49*T^13 + 20/49*T^12 + 
        31/49*T^10 + 41/49*T^9 + 9/49*T^8 + 30/49*T^7 + 45/49*T^6 - 11/49*T^5 + 
        1/7*T^4 + T^3 - 4/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 6*X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + X*Y 
        + 5*X + 4*Y^18 + 6*Y^17 + Y^16 + Y^14 + 3*Y^13 + Y^11 + Y^10 + 2*Y^8 + 2*Y^7
        + 6*Y^6 + 6*Y^5 + 5*Y^4 + 6*Y + 4,
    -T^32 - 10/7*T^31 + 1/49*T^30 - 3/7*T^29 - 67/49*T^28 + 11/49*T^27 + 23/49*T^26 
        - 8/7*T^25 - 48/49*T^24 - 5/49*T^23 - 5/7*T^22 - 58/49*T^21 - 8/49*T^20 + 
        24/49*T^19 - 9/49*T^18 - 23/49*T^17 + 23/49*T^15 + 9/49*T^14 - 24/49*T^13 + 
        8/49*T^12 + 58/49*T^11 + 5/7*T^10 + 5/49*T^9 + 48/49*T^8 + 8/7*T^7 - 
        23/49*T^6 - 11/49*T^5 + 67/49*T^4 + 3/7*T^3 - 1/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 2*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 
        4*X*Y + 4*X + 5*Y^18 + 5*Y^17 + 5*Y^16 + 4*Y^14 + 3*Y^13 + 3*Y^12 + 6*Y^11 +
        5*Y^10 + 4*Y^9 + 4*Y^8 + 3*Y^7 + 6*Y^6 + Y^5 + 6*Y^4 + 2*Y^3 + 3*Y^2 + 4*Y,
    T^32 + 1/7*T^31 - 26/49*T^30 - 25/49*T^29 + 18/49*T^28 + 54/49*T^27 + 4/49*T^26 
        + 25/49*T^25 + 10/49*T^24 - 5/7*T^23 - 1/7*T^22 + 15/49*T^21 + 65/49*T^20 + 
        16/49*T^19 - 3/7*T^18 + 20/49*T^17 - 2/7*T^16 + 20/49*T^15 - 3/7*T^14 + 
        16/49*T^13 + 65/49*T^12 + 15/49*T^11 - 1/7*T^10 - 5/7*T^9 + 10/49*T^8 + 
        25/49*T^7 + 4/49*T^6 + 54/49*T^5 + 18/49*T^4 - 25/49*T^3 - 26/49*T^2 + 1/7*T
        + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 2*X*Y^2 + X*Y 
        + 6*Y^18 + 4*Y^17 + 2*Y^16 + 5*Y^15 + 6*Y^14 + 4*Y^13 + 6*Y^12 + Y^11 + Y^8 
        + 6*Y^7 + 2*Y^6 + 5*Y^4 + 6*Y^3 + 4*Y^2 + 4*Y + 2,
    T^32 - 3/7*T^31 + 17/49*T^30 - 17/49*T^29 + 4/49*T^28 + 12/49*T^27 - 8/49*T^26 +
        6/49*T^25 - 17/49*T^24 + 20/49*T^23 - 22/49*T^22 + 4/49*T^21 - 25/49*T^20 + 
        3/49*T^19 + 10/49*T^18 - 1/7*T^17 - 12/49*T^16 - 1/7*T^15 + 10/49*T^14 + 
        3/49*T^13 - 25/49*T^12 + 4/49*T^11 - 22/49*T^10 + 20/49*T^9 - 17/49*T^8 + 
        6/49*T^7 - 8/49*T^6 + 12/49*T^5 + 4/49*T^4 - 17/49*T^3 + 17/49*T^2 - 3/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + 
        4*X*Y + 5*X + Y^18 + 3*Y^17 + 2*Y^16 + 5*Y^15 + 2*Y^14 + 3*Y^13 + 3*Y^12 + 
        2*Y^10 + Y^9 + 5*Y^8 + 3*Y^7 + 2*Y^5 + 6*Y^4 + 4*Y^3 + 3*Y^2 + 6*Y + 3,
    T^32 + 5/7*T^31 + 44/49*T^30 + 69/49*T^29 + 11/49*T^28 + 3/49*T^27 + 15/49*T^26 
        - 26/49*T^25 - 11/49*T^24 + 2/7*T^23 + 19/49*T^22 + 29/49*T^21 + 9/49*T^20 +
        13/49*T^19 - 29/49*T^18 - 37/49*T^17 - 2/7*T^16 - 37/49*T^15 - 29/49*T^14 + 
        13/49*T^13 + 9/49*T^12 + 29/49*T^11 + 19/49*T^10 + 2/7*T^9 - 11/49*T^8 - 
        26/49*T^7 + 15/49*T^6 + 3/49*T^5 + 11/49*T^4 + 69/49*T^3 + 44/49*T^2 + 5/7*T
        + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 5*X*Y^6 + 6*X*Y^5 + X*Y^4 + 5*X*Y^3 + X*Y^2 + 2*X*Y + 
        6*X + Y^18 + 4*Y^17 + 3*Y^16 + 6*Y^15 + 2*Y^14 + 6*Y^13 + 4*Y^12 + 3*Y^10 + 
        2*Y^9 + Y^8 + 5*Y^7 + 5*Y^6 + 5*Y^5 + 5*Y^4 + 2*Y^3 + 5*Y^2 + 4*Y + 1,
    -T^32 + 6/7*T^31 - 8/49*T^30 - 15/49*T^29 - 4/49*T^28 - 20/49*T^27 + 18/49*T^26 
        + 12/49*T^25 - 34/49*T^24 + 32/49*T^23 - 52/49*T^22 + 15/49*T^21 + 3/7*T^20 
        - 18/49*T^19 + 26/49*T^18 - 48/49*T^17 + 48/49*T^15 - 26/49*T^14 + 
        18/49*T^13 - 3/7*T^12 - 15/49*T^11 + 52/49*T^10 - 32/49*T^9 + 34/49*T^8 - 
        12/49*T^7 - 18/49*T^6 + 20/49*T^5 + 4/49*T^4 + 15/49*T^3 + 8/49*T^2 - 6/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^7 + X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 3*Y^18
        + 3*Y^17 + 3*Y^15 + 5*Y^14 + 6*Y^12 + 5*Y^11 + 3*Y^9 + Y^8 + 6*Y^7 + 3*Y^6 +
        6*Y^5 + 5*Y^3 + Y^2 + Y + 6,
    -T^32 + 6/7*T^31 + 20/49*T^30 - 29/49*T^29 + 3/49*T^28 + 15/49*T^27 - 15/49*T^26
        - 8/49*T^24 - 44/49*T^23 + 69/49*T^22 + 5/49*T^21 - 3/7*T^20 - 25/49*T^19 + 
        12/49*T^18 - 2/49*T^17 + 2/49*T^15 - 12/49*T^14 + 25/49*T^13 + 3/7*T^12 - 
        5/49*T^11 - 69/49*T^10 + 44/49*T^9 + 8/49*T^8 + 15/49*T^6 - 15/49*T^5 - 
        3/49*T^4 + 29/49*T^3 - 20/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^7 + X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + X*Y^2 + 3*X*Y + 4*X + 
        2*Y^18 + 4*Y^17 + 5*Y^16 + 5*Y^15 + 5*Y^14 + 2*Y^12 + 5*Y^11 + 4*Y^10 + 
        2*Y^9 + 6*Y^8 + 6*Y^7 + Y^6 + 6*Y^5 + 4*Y^3 + 6*Y^2 + 6*Y + 3,
    -T^32 + 2/7*T^31 + 17/49*T^30 - 9/7*T^29 + 54/49*T^28 + 13/49*T^27 - 41/49*T^26 
        + 61/49*T^25 + 5/49*T^24 + 8/49*T^23 + 19/49*T^22 - 39/49*T^21 + 23/49*T^20 
        - 13/49*T^19 - 40/49*T^18 + 43/49*T^17 - 43/49*T^15 + 40/49*T^14 + 
        13/49*T^13 - 23/49*T^12 + 39/49*T^11 - 19/49*T^10 - 8/49*T^9 - 5/49*T^8 - 
        61/49*T^7 + 41/49*T^6 - 13/49*T^5 - 54/49*T^4 + 9/7*T^3 - 17/49*T^2 - 2/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + X*Y^7 + 2*X*Y^6 + 6*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 6*X + 
        3*Y^18 + 5*Y^17 + 2*Y^16 + 2*Y^15 + 3*Y^14 + Y^12 + 6*Y^11 + Y^10 + 5*Y^8 + 
        4*Y^7 + 3*Y^6 + 4*Y^5 + Y^4 + 3*Y^2 + Y,
    T^32 - 5/7*T^31 + 6/49*T^30 - 32/49*T^29 - 8/49*T^28 + 53/49*T^27 - 6/7*T^26 + 
        5/7*T^25 - T^24 + 54/49*T^23 - 20/49*T^22 + 2/49*T^21 - 12/49*T^20 - 
        4/7*T^19 + 53/49*T^18 - 47/49*T^17 + 51/49*T^16 - 47/49*T^15 + 53/49*T^14 - 
        4/7*T^13 - 12/49*T^12 + 2/49*T^11 - 20/49*T^10 + 54/49*T^9 - T^8 + 5/7*T^7 -
        6/7*T^6 + 53/49*T^5 - 8/49*T^4 - 32/49*T^3 + 6/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^7 + 5*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + 5*X + 4*Y^18 +
        3*Y^17 + 6*Y^16 + Y^14 + 4*Y^13 + Y^12 + 6*Y^11 + 4*Y^10 + 6*Y^9 + Y^8 + 
        4*Y^7 + 2*Y^6 + Y^5 + 6*Y^4 + 4*Y^3 + 5*Y^2 + 4*Y + 5,
    T^32 + 19/7*T^31 + 157/49*T^30 + 115/49*T^29 + 97/49*T^28 + 113/49*T^27 + 
        88/49*T^26 + 37/49*T^25 + 30/49*T^24 + 48/49*T^23 + 79/49*T^22 + 131/49*T^21
        + 155/49*T^20 + 115/49*T^19 + 64/49*T^18 + 62/49*T^17 + 79/49*T^16 + 
        62/49*T^15 + 64/49*T^14 + 115/49*T^13 + 155/49*T^12 + 131/49*T^11 + 
        79/49*T^10 + 48/49*T^9 + 30/49*T^8 + 37/49*T^7 + 88/49*T^6 + 113/49*T^5 + 
        97/49*T^4 + 115/49*T^3 + 157/49*T^2 + 19/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + 
        5*X*Y^2 + 5*X*Y + 3*X + 4*Y^18 + 6*Y^17 + 2*Y^16 + 2*Y^15 + Y^14 + Y^13 + 
        3*Y^12 + 6*Y^11 + 3*Y^9 + 3*Y^8 + 6*Y^7 + 4*Y^6 + 2*Y^4 + Y^3 + 4*Y^2 + Y + 
        5,
    -T^32 - T^31 + 32/49*T^30 + 51/49*T^29 + 36/49*T^28 + 16/49*T^27 - 18/49*T^26 - 
        67/49*T^25 - 69/49*T^24 + 1/49*T^23 + 62/49*T^22 + T^21 - 1/7*T^20 - 
        1/7*T^19 - 29/49*T^18 - 62/49*T^17 + 62/49*T^15 + 29/49*T^14 + 1/7*T^13 + 
        1/7*T^12 - T^11 - 62/49*T^10 - 1/49*T^9 + 69/49*T^8 + 67/49*T^7 + 18/49*T^6 
        - 16/49*T^5 - 36/49*T^4 - 51/49*T^3 - 32/49*T^2 + T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 6*X*Y^6 + X*Y^3 + 3*X*Y^2 + 5*X*Y + 2*X + Y^18 + 2*Y^17 + 
        2*Y^16 + 3*Y^14 + 6*Y^13 + Y^12 + 3*Y^10 + Y^9 + 2*Y^8 + 6*Y^7 + Y^6 + Y^5 +
        Y^4 + Y^3 + 6*Y^2 + 4*Y + 1,
    -T^32 - 1/7*T^31 + 45/49*T^30 - 22/49*T^29 - 5/7*T^28 + 27/49*T^27 + 33/49*T^26 
        + 11/49*T^25 - 5/49*T^24 - 18/49*T^23 + 22/49*T^22 + 36/49*T^21 - 33/49*T^20
        - 53/49*T^19 + 16/49*T^18 + 18/49*T^17 - 18/49*T^15 - 16/49*T^14 + 
        53/49*T^13 + 33/49*T^12 - 36/49*T^11 - 22/49*T^10 + 18/49*T^9 + 5/49*T^8 - 
        11/49*T^7 - 33/49*T^6 - 27/49*T^5 + 5/7*T^4 + 22/49*T^3 - 45/49*T^2 + 1/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 4*X*Y^7 + 3*X*Y^5 + 4*X*Y^4 + X*Y^3 + 6*X*Y^2 + 6*X*Y + 
        6*X + 5*Y^18 + 2*Y^17 + 5*Y^16 + 2*Y^15 + 5*Y^14 + 5*Y^13 + 6*Y^12 + 2*Y^11 
        + 3*Y^10 + 2*Y^9 + 3*Y^8 + 2*Y^5 + 2*Y^3 + 6*Y^2 + 3,
    -T^32 + 4/7*T^31 + 90/49*T^30 - 41/49*T^29 - 86/49*T^28 + 41/49*T^27 + 
        45/49*T^26 - 38/49*T^25 - 17/49*T^24 + 47/49*T^23 - 22/49*T^22 - 41/49*T^21 
        + 65/49*T^20 + 4/7*T^19 - 65/49*T^18 - 16/49*T^17 + 16/49*T^15 + 65/49*T^14 
        - 4/7*T^13 - 65/49*T^12 + 41/49*T^11 + 22/49*T^10 - 47/49*T^9 + 17/49*T^8 + 
        38/49*T^7 - 45/49*T^6 - 41/49*T^5 + 86/49*T^4 + 41/49*T^3 - 90/49*T^2 - 
        4/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + X*Y^5 + 4*X*Y^4 + X*Y^3 + 2*X*Y^2 
        + X*Y + 5*X + 2*Y^18 + 6*Y^17 + 5*Y^16 + 3*Y^15 + 3*Y^14 + Y^13 + 3*Y^12 + 
        4*Y^11 + 3*Y^10 + 2*Y^9 + 4*Y^7 + 2*Y^6 + Y^4 + 5*Y^3 + 2*Y^2 + 4*Y + 2,
    T^32 + 6/7*T^31 - 51/49*T^30 - 18/49*T^29 + 36/49*T^28 - 26/49*T^27 - 8/49*T^26 
        + 44/49*T^25 - 8/49*T^24 + 31/49*T^23 + 10/7*T^22 - 58/49*T^21 - 47/49*T^20 
        + 66/49*T^19 + 3/49*T^18 - 18/49*T^17 + 6/7*T^16 - 18/49*T^15 + 3/49*T^14 + 
        66/49*T^13 - 47/49*T^12 - 58/49*T^11 + 10/7*T^10 + 31/49*T^9 - 8/49*T^8 + 
        44/49*T^7 - 8/49*T^6 - 26/49*T^5 + 36/49*T^4 - 18/49*T^3 - 51/49*T^2 + 6/7*T
        + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 3*X*Y^2 
        + 5*X + 5*Y^18 + 2*Y^17 + 2*Y^16 + Y^15 + Y^14 + 2*Y^12 + Y^11 + 6*Y^10 + 
        2*Y^9 + 6*Y^8 + 3*Y^7 + 6*Y^6 + 2*Y^5 + 3*Y^2 + 2*Y + 6,
    -T^32 - 11/7*T^31 + 25/49*T^30 + 104/49*T^29 + 38/49*T^28 - 11/49*T^27 + 
        12/49*T^26 - 10/49*T^25 - 30/49*T^24 + 37/49*T^23 + 41/49*T^22 - 92/49*T^21 
        - 13/7*T^20 + 72/49*T^19 + 90/49*T^18 - 13/49*T^17 + 13/49*T^15 - 90/49*T^14
        - 72/49*T^13 + 13/7*T^12 + 92/49*T^11 - 41/49*T^10 - 37/49*T^9 + 30/49*T^8 +
        10/49*T^7 - 12/49*T^6 + 11/49*T^5 - 38/49*T^4 - 104/49*T^3 - 25/49*T^2 + 
        11/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^7 + 6*X*Y^6 + 4*X*Y^4 + 5*X*Y + 5*X + 3*Y^18 + 6*Y^16 + 
        3*Y^15 + 6*Y^14 + 6*Y^13 + 5*Y^12 + 3*Y^10 + 4*Y^9 + 5*Y^8 + Y^7 + 3*Y^6 + 
        3*Y^5 + 6*Y^4 + 4*Y^3 + 4*Y^2 + Y + 3,
    -T^32 + 10/7*T^31 - 50/49*T^30 + 23/49*T^29 - 1/49*T^28 + 17/49*T^27 - 
        11/49*T^26 - 4/49*T^25 + 24/49*T^24 - 11/49*T^23 - 25/49*T^22 + 41/49*T^21 -
        29/49*T^20 + 25/49*T^19 - 41/49*T^18 + 39/49*T^17 - 39/49*T^15 + 41/49*T^14 
        - 25/49*T^13 + 29/49*T^12 - 41/49*T^11 + 25/49*T^10 + 11/49*T^9 - 24/49*T^8 
        + 4/49*T^7 + 11/49*T^6 - 17/49*T^5 + 1/49*T^4 - 23/49*T^3 + 50/49*T^2 - 
        10/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 6*X*Y^6 + 3*X*Y^5 + X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + 5*X*Y + 5*X + 
        3*Y^18 + Y^16 + 6*Y^14 + 2*Y^13 + 2*Y^11 + 6*Y^10 + 3*Y^9 + 5*Y^8 + Y^7 + 
        3*Y^6 + 2*Y^5 + 4*Y^4 + Y^3 + 2*Y^2 + 5*Y + 3,
    -T^32 + 2/7*T^31 + 64/49*T^30 - 5/7*T^29 - 37/49*T^28 + 2/49*T^27 + T^26 + 
        2/7*T^25 - 66/49*T^24 - 8/49*T^23 + 26/49*T^22 + 40/49*T^21 - 13/49*T^20 - 
        65/49*T^19 + 32/49*T^18 + 46/49*T^17 - 46/49*T^15 - 32/49*T^14 + 65/49*T^13 
        + 13/49*T^12 - 40/49*T^11 - 26/49*T^10 + 8/49*T^9 + 66/49*T^8 - 2/7*T^7 - 
        T^6 - 2/49*T^5 + 37/49*T^4 + 5/7*T^3 - 64/49*T^2 - 2/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + X*Y^2 
        + 3*X*Y + 6*X + 4*Y^18 + 4*Y^16 + 6*Y^14 + Y^13 + 5*Y^12 + 4*Y^11 + 4*Y^10 +
        5*Y^9 + 2*Y^8 + 4*Y^7 + 6*Y^6 + 4*Y^5 + 4*Y^4 + Y^3 + 2*Y + 1,
    -T^32 - 16/7*T^31 - 150/49*T^30 - 135/49*T^29 - 99/49*T^28 - 86/49*T^27 - 
        15/7*T^26 - 20/7*T^25 - 163/49*T^24 - 165/49*T^23 - 144/49*T^22 - 
        106/49*T^21 - 62/49*T^20 - 32/49*T^19 - 1/49*T^18 + 6/49*T^17 - 6/49*T^15 + 
        1/49*T^14 + 32/49*T^13 + 62/49*T^12 + 106/49*T^11 + 144/49*T^10 + 165/49*T^9
        + 163/49*T^8 + 20/7*T^7 + 15/7*T^6 + 86/49*T^5 + 99/49*T^4 + 135/49*T^3 + 
        150/49*T^2 + 16/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + X*Y^6 + X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 3*X*Y^2 + 
        2*X*Y + 3*X + 4*Y^18 + 2*Y^17 + 4*Y^15 + 4*Y^14 + 3*Y^12 + 2*Y^11 + 3*Y^10 +
        Y^9 + 2*Y^8 + 5*Y^7 + 4*Y^6 + Y^5 + 2*Y^4 + 2*Y^3 + 4*Y^2 + 4*Y + 4,
    T^32 + T^31 - 18/49*T^30 - 5/7*T^29 - 11/49*T^28 + 48/49*T^27 + 23/49*T^26 - 
        23/49*T^25 - 3/49*T^24 - 1/7*T^23 + 1/49*T^22 + 6/49*T^21 + 17/49*T^20 - 
        18/49*T^19 - 39/49*T^18 + 4/7*T^17 + 62/49*T^16 + 4/7*T^15 - 39/49*T^14 - 
        18/49*T^13 + 17/49*T^12 + 6/49*T^11 + 1/49*T^10 - 1/7*T^9 - 3/49*T^8 - 
        23/49*T^7 + 23/49*T^6 + 48/49*T^5 - 11/49*T^4 - 5/7*T^3 - 18/49*T^2 + T + 1
*], [*
    X^3 + 5*X*Y^8 + 4*X*Y^7 + 3*X*Y^5 + 2*X*Y^4 + X*Y^3 + X*Y + 6*X + 6*Y^18 + 
        5*Y^16 + Y^15 + 3*Y^14 + 6*Y^13 + Y^12 + 3*Y^11 + 6*Y^10 + 3*Y^9 + 5*Y^8 + 
        4*Y^7 + 2*Y^6 + 3*Y^5 + 3*Y^4 + 3*Y^3 + 4*Y^2 + 4*Y + 1,
    T^32 + 5/7*T^31 - 25/49*T^30 - 1/49*T^29 - 8/49*T^28 - 32/49*T^27 - 6/49*T^26 + 
        15/49*T^25 + 47/49*T^24 + 17/49*T^23 - 22/49*T^22 + 15/49*T^21 + 3/7*T^20 + 
        9/49*T^19 - 13/49*T^18 - 9/49*T^17 + 12/49*T^16 - 9/49*T^15 - 13/49*T^14 + 
        9/49*T^13 + 3/7*T^12 + 15/49*T^11 - 22/49*T^10 + 17/49*T^9 + 47/49*T^8 + 
        15/49*T^7 - 6/49*T^6 - 32/49*T^5 - 8/49*T^4 - 1/49*T^3 - 25/49*T^2 + 5/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + X*Y^2 
        + 2*X*Y + 5*X + 3*Y^18 + 6*Y^17 + 3*Y^15 + Y^14 + 6*Y^13 + 4*Y^12 + 6*Y^11 +
        3*Y^10 + 2*Y^9 + 2*Y^8 + 5*Y^7 + 6*Y^6 + Y^5 + 3*Y^4 + 2*Y^3 + 3*Y^2 + 1,
    -T^32 + 9/7*T^31 - 1/49*T^30 + 33/49*T^29 - 10/7*T^28 + 3/7*T^27 - 10/49*T^26 + 
        1/49*T^25 + 4/7*T^24 - 33/49*T^23 + 46/49*T^22 - 65/49*T^21 + 53/49*T^20 - 
        45/49*T^19 + 54/49*T^18 - 27/49*T^17 + 27/49*T^15 - 54/49*T^14 + 45/49*T^13 
        - 53/49*T^12 + 65/49*T^11 - 46/49*T^10 + 33/49*T^9 - 4/7*T^8 - 1/49*T^7 + 
        10/49*T^6 - 3/7*T^5 + 10/7*T^4 - 33/49*T^3 + 1/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 5*X*Y^7 + X*Y^4 + 2*X*Y^2 + 5*X + 2*Y^18 + 2*Y^17 + 5*Y^16 + 
        3*Y^14 + Y^13 + 6*Y^12 + 4*Y^11 + 5*Y^10 + 3*Y^8 + 5*Y^7 + 6*Y^6 + 4*Y^4 + 
        2*Y^3 + Y^2 + 3*Y + 3,
    T^32 - 1/7*T^31 - 40/49*T^30 + 30/49*T^29 - 19/49*T^28 + 2/49*T^27 + 57/49*T^26 
        - 4/49*T^25 - 24/49*T^24 + 26/49*T^23 - 45/49*T^22 - 1/49*T^21 + 71/49*T^20 
        - 25/49*T^19 + 24/49*T^18 + 3/7*T^17 - 61/49*T^16 + 3/7*T^15 + 24/49*T^14 - 
        25/49*T^13 + 71/49*T^12 - 1/49*T^11 - 45/49*T^10 + 26/49*T^9 - 24/49*T^8 - 
        4/49*T^7 + 57/49*T^6 + 2/49*T^5 - 19/49*T^4 + 30/49*T^3 - 40/49*T^2 - 1/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + X*Y^2 + 5*X*Y 
        + 2*Y^18 + 5*Y^17 + Y^15 + 5*Y^14 + 6*Y^12 + 4*Y^11 + 2*Y^10 + 5*Y^9 + 4*Y^8
        + 5*Y^7 + 5*Y^6 + 3*Y^5 + 5*Y^4 + Y^3 + 3*Y^2 + 6*Y + 4,
    -T^32 - 2/7*T^31 - 39/49*T^30 + 23/49*T^29 - 20/49*T^28 + 24/49*T^27 + 9/49*T^26
        + 34/49*T^25 + 26/49*T^24 + 20/49*T^23 - 16/49*T^22 - 22/49*T^21 - 
        53/49*T^20 - 16/49*T^19 - T^18 - 24/49*T^17 + 24/49*T^15 + T^14 + 16/49*T^13
        + 53/49*T^12 + 22/49*T^11 + 16/49*T^10 - 20/49*T^9 - 26/49*T^8 - 34/49*T^7 -
        9/49*T^6 - 24/49*T^5 + 20/49*T^4 - 23/49*T^3 + 39/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^7 + X*Y^6 + 5*X*Y^4 + 5*X*Y^3 + 4*X*Y + 6*X + 4*Y^18 + 
        6*Y^16 + 6*Y^15 + 3*Y^13 + 4*Y^12 + 6*Y^11 + 2*Y^9 + 5*Y^8 + Y^7 + Y^6 + 
        2*Y^5 + 3*Y^4 + 3*Y^3 + 5*Y + 5,
    T^32 + 6/7*T^31 + 3/49*T^30 + 3/7*T^29 - 12/49*T^28 - 11/49*T^27 + 1/7*T^26 - 
        2/7*T^25 + 15/49*T^24 - 1/49*T^23 - 6/7*T^22 - 30/49*T^21 - 8/49*T^20 - 
        20/49*T^19 + 2/49*T^18 + 10/49*T^17 - 18/49*T^16 + 10/49*T^15 + 2/49*T^14 - 
        20/49*T^13 - 8/49*T^12 - 30/49*T^11 - 6/7*T^10 - 1/49*T^9 + 15/49*T^8 - 
        2/7*T^7 + 1/7*T^6 - 11/49*T^5 - 12/49*T^4 + 3/7*T^3 + 3/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + X*Y^3 + 2*X*Y^2 
        + 3*X*Y + 6*X + 3*Y^18 + 4*Y^17 + 3*Y^16 + 5*Y^14 + 6*Y^13 + 5*Y^12 + Y^11 +
        5*Y^10 + 5*Y^9 + 2*Y^8 + 2*Y^7 + Y^6 + Y^4 + 3*Y^3 + 2*Y^2 + 2*Y + 1,
    T^32 - 11/7*T^31 + 10/49*T^30 + 31/49*T^29 + 26/49*T^28 - 8/7*T^27 - 40/49*T^26 
        + 96/49*T^25 - 11/49*T^24 - 9/7*T^23 + 16/49*T^22 + 47/49*T^21 - 19/49*T^20 
        - 34/49*T^19 + 16/49*T^18 + 50/49*T^17 - 81/49*T^16 + 50/49*T^15 + 
        16/49*T^14 - 34/49*T^13 - 19/49*T^12 + 47/49*T^11 + 16/49*T^10 - 9/7*T^9 - 
        11/49*T^8 + 96/49*T^7 - 40/49*T^6 - 8/7*T^5 + 26/49*T^4 + 31/49*T^3 + 
        10/49*T^2 - 11/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 3*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + X*Y^2 + 4*X*Y + 
        5*X + 5*Y^18 + 6*Y^16 + 3*Y^15 + 2*Y^14 + 4*Y^12 + 5*Y^10 + Y^9 + 2*Y^8 + 
        Y^7 + 2*Y^6 + Y^5 + 3*Y^4 + 2*Y^3 + 4*Y^2 + 5*Y + 4,
    -T^32 - 3/7*T^31 - 16/49*T^30 - 23/49*T^29 - 24/49*T^28 - 16/49*T^27 - 6/49*T^26
        - 38/49*T^25 - 23/49*T^24 - 8/49*T^23 - 4/49*T^22 - 34/49*T^21 - 24/49*T^20 
        + 20/49*T^19 - 4/49*T^18 - 4/49*T^17 + 4/49*T^15 + 4/49*T^14 - 20/49*T^13 + 
        24/49*T^12 + 34/49*T^11 + 4/49*T^10 + 8/49*T^9 + 23/49*T^8 + 38/49*T^7 + 
        6/49*T^6 + 16/49*T^5 + 24/49*T^4 + 23/49*T^3 + 16/49*T^2 + 3/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + X*Y^7 + 5*X*Y^6 + X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 
        2*X*Y + X + Y^18 + 2*Y^17 + 2*Y^16 + 3*Y^14 + 2*Y^13 + 5*Y^12 + 5*Y^11 + 
        2*Y^10 + 3*Y^9 + 4*Y^8 + 3*Y^7 + 2*Y^6 + Y^5 + Y^4 + 5*Y^3 + 5*Y^2 + 3*Y + 
        4,
    T^32 - T^31 + 2/49*T^30 + 9/49*T^29 - 17/49*T^28 + 11/7*T^27 - 61/49*T^26 + 
        1/49*T^25 + 16/49*T^24 - 30/49*T^23 + 62/49*T^22 - 17/49*T^21 - 8/49*T^20 + 
        10/49*T^19 - 1/7*T^18 + 8/49*T^17 + 10/49*T^16 + 8/49*T^15 - 1/7*T^14 + 
        10/49*T^13 - 8/49*T^12 - 17/49*T^11 + 62/49*T^10 - 30/49*T^9 + 16/49*T^8 + 
        1/49*T^7 - 61/49*T^6 + 11/7*T^5 - 17/49*T^4 + 9/49*T^3 + 2/49*T^2 - T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 
        2*X*Y^2 + 6*X + 5*Y^18 + 5*Y^17 + Y^14 + 2*Y^13 + Y^11 + 6*Y^10 + 3*Y^9 + 
        4*Y^6 + 3*Y^5 + 6*Y^4 + 2*Y^2 + 3*Y + 1,
    -T^32 + 12/7*T^31 - 16/49*T^30 - 54/49*T^29 - 16/49*T^28 + 97/49*T^27 - 
        26/49*T^26 - 46/49*T^25 - 37/49*T^24 + 109/49*T^23 - 15/49*T^22 - 80/49*T^21
        - 18/49*T^20 + 16/7*T^19 + 4/49*T^18 - 120/49*T^17 + 120/49*T^15 - 4/49*T^14
        - 16/7*T^13 + 18/49*T^12 + 80/49*T^11 + 15/49*T^10 - 109/49*T^9 + 37/49*T^8 
        + 46/49*T^7 + 26/49*T^6 - 97/49*T^5 + 16/49*T^4 + 54/49*T^3 + 16/49*T^2 - 
        12/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 6*X*Y^2 + X*Y + 5*X + 
        Y^18 + Y^17 + Y^16 + 6*Y^15 + 4*Y^14 + 3*Y^12 + 6*Y^11 + 2*Y^10 + 3*Y^9 + 
        Y^8 + 6*Y^7 + 4*Y^6 + 4*Y^5 + 4*Y^4 + Y^3 + 2*Y^2 + 3*Y + 3,
    -T^32 + T^31 + 46/49*T^30 - 62/49*T^29 + 24/49*T^28 + 2/49*T^27 - 5/7*T^26 - 
        8/49*T^25 + 79/49*T^24 - 30/49*T^23 - T^22 + 73/49*T^21 - 60/49*T^20 + 
        3/49*T^19 + 17/49*T^18 - 2/49*T^17 + 2/49*T^15 - 17/49*T^14 - 3/49*T^13 + 
        60/49*T^12 - 73/49*T^11 + T^10 + 30/49*T^9 - 79/49*T^8 + 8/49*T^7 + 5/7*T^6 
        - 2/49*T^5 - 24/49*T^4 + 62/49*T^3 - 46/49*T^2 - T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 4*X*Y^3 + 4*X*Y^2 + 2*X*Y 
        + 5*X + 5*Y^18 + 6*Y^17 + Y^16 + Y^15 + 6*Y^14 + 4*Y^13 + 4*Y^12 + 6*Y^11 + 
        2*Y^10 + 4*Y^9 + 2*Y^8 + 3*Y^7 + 5*Y^6 + 5*Y^5 + 3*Y^4 + Y^2 + Y,
    -T^32 + 6/7*T^31 - 2/7*T^30 - 11/49*T^29 + 45/49*T^28 - 6/7*T^27 + 17/49*T^26 + 
        22/49*T^25 - 34/49*T^24 + 24/49*T^23 + 13/49*T^22 - 37/49*T^21 + 51/49*T^20 
        + 5/49*T^19 - 20/49*T^18 + 2/7*T^17 - 2/7*T^15 + 20/49*T^14 - 5/49*T^13 - 
        51/49*T^12 + 37/49*T^11 - 13/49*T^10 - 24/49*T^9 + 34/49*T^8 - 22/49*T^7 - 
        17/49*T^6 + 6/7*T^5 - 45/49*T^4 + 11/49*T^3 + 2/7*T^2 - 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + X*Y^6 + 3*X*Y^4 + 5*X*Y^3 + 5*X*Y^2 + 3*X*Y 
        + 5*X + 3*Y^18 + 4*Y^17 + 6*Y^16 + 2*Y^15 + 5*Y^14 + 2*Y^13 + 5*Y^12 + Y^11 
        + 3*Y^9 + 3*Y^8 + Y^7 + 5*Y^6 + 5*Y^5 + 5*Y^4 + 4*Y^2 + 3*Y + 6,
    T^32 - 2/7*T^31 + 30/49*T^30 + 20/49*T^29 - 10/49*T^28 + 18/49*T^27 - 25/49*T^26
        - 33/49*T^25 + 18/49*T^24 - 39/49*T^23 + 17/49*T^22 - 18/49*T^20 + 
        34/49*T^19 - 13/49*T^18 - 26/49*T^17 + 20/49*T^16 - 26/49*T^15 - 13/49*T^14 
        + 34/49*T^13 - 18/49*T^12 + 17/49*T^10 - 39/49*T^9 + 18/49*T^8 - 33/49*T^7 -
        25/49*T^6 + 18/49*T^5 - 10/49*T^4 + 20/49*T^3 + 30/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + X*Y^3 + 5*X*Y^2 + 2*X*Y + 6*X + 
        2*Y^18 + 2*Y^17 + 6*Y^16 + 2*Y^15 + 4*Y^14 + Y^13 + 6*Y^12 + 6*Y^10 + 3*Y^8 
        + 3*Y^7 + 3*Y^6 + 2*Y^5 + 2*Y^4 + 5*Y^3 + Y^2 + 3,
    -T^32 - 1/7*T^31 + 52/49*T^30 - 25/49*T^29 - 47/49*T^28 + 30/49*T^27 + 5/49*T^26
        - 10/49*T^25 + 54/49*T^24 - 4/49*T^23 - 20/49*T^22 + 34/49*T^21 + 30/49*T^20
        + 1/7*T^19 + 13/49*T^18 - 12/49*T^17 + 12/49*T^15 - 13/49*T^14 - 1/7*T^13 - 
        30/49*T^12 - 34/49*T^11 + 20/49*T^10 + 4/49*T^9 - 54/49*T^8 + 10/49*T^7 - 
        5/49*T^6 - 30/49*T^5 + 47/49*T^4 + 25/49*T^3 - 52/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 3*X*Y^6 + X*Y^5 + 2*X*Y^3 + 6*X*Y^2 + 5*X*Y + 3*X + 
        5*Y^18 + Y^17 + 2*Y^16 + 5*Y^15 + Y^14 + 4*Y^13 + 2*Y^12 + Y^11 + 4*Y^8 + 
        3*Y^5 + 6*Y^4 + 5*Y^3 + 4*Y^2 + Y + 1,
    -T^32 + 6/7*T^31 - 46/49*T^30 + 37/49*T^29 - 43/49*T^28 + 24/49*T^27 - T^26 + 
        23/49*T^25 - 29/49*T^24 + 40/49*T^23 - 38/49*T^22 + 17/49*T^21 - 41/49*T^20 
        + 25/49*T^19 - 19/49*T^18 + 16/49*T^17 - 16/49*T^15 + 19/49*T^14 - 
        25/49*T^13 + 41/49*T^12 - 17/49*T^11 + 38/49*T^10 - 40/49*T^9 + 29/49*T^8 - 
        23/49*T^7 + T^6 - 24/49*T^5 + 43/49*T^4 - 37/49*T^3 + 46/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 4*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + X*Y^2 + X*Y + 3*X + 
        6*Y^18 + Y^17 + 4*Y^16 + 3*Y^15 + Y^14 + 3*Y^13 + 4*Y^12 + 6*Y^11 + 6*Y^10 +
        5*Y^9 + 3*Y^8 + 5*Y^7 + 3*Y^6 + 3*Y^5 + 4*Y^4 + 2*Y^3 + 5*Y^2 + Y + 3,
    T^32 + 2*T^31 + 83/49*T^30 - 32/49*T^29 - 20/7*T^28 - 158/49*T^27 - 61/49*T^26 +
        54/49*T^25 + 111/49*T^24 + 107/49*T^23 + 74/49*T^22 + 20/49*T^21 - 
        47/49*T^20 - 81/49*T^19 - 57/49*T^18 + 4/7*T^17 + 73/49*T^16 + 4/7*T^15 - 
        57/49*T^14 - 81/49*T^13 - 47/49*T^12 + 20/49*T^11 + 74/49*T^10 + 107/49*T^9 
        + 111/49*T^8 + 54/49*T^7 - 61/49*T^6 - 158/49*T^5 - 20/7*T^4 - 32/49*T^3 + 
        83/49*T^2 + 2*T + 1
*], [*
    X^3 + X*Y^8 + 2*X*Y^7 + 5*X*Y^5 + 3*X*Y^4 + 2*X*Y^2 + X*Y + 6*X + 3*Y^18 + 
        5*Y^17 + 4*Y^16 + 3*Y^14 + 5*Y^13 + 4*Y^12 + 2*Y^11 + 2*Y^10 + 5*Y^9 + 6*Y^8
        + 6*Y^7 + 3*Y^6 + 6*Y^5 + 5*Y^4 + 3*Y^3 + 6*Y^2 + 6,
    T^32 - 29/49*T^30 + 2/7*T^29 - 22/49*T^28 + 26/49*T^27 - 8/49*T^26 - 8/49*T^25 +
        41/49*T^24 - 34/49*T^23 + 1/7*T^22 + 6/49*T^21 - 20/49*T^20 + 4/49*T^19 - 
        23/49*T^18 + 1/7*T^17 + 44/49*T^16 + 1/7*T^15 - 23/49*T^14 + 4/49*T^13 - 
        20/49*T^12 + 6/49*T^11 + 1/7*T^10 - 34/49*T^9 + 41/49*T^8 - 8/49*T^7 - 
        8/49*T^6 + 26/49*T^5 - 22/49*T^4 + 2/7*T^3 - 29/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + X*Y^6 + 5*X*Y^5 + 6*X*Y^3 + 2*X*Y^2 + 6*X*Y 
        + 3*X + Y^18 + 6*Y^17 + 5*Y^16 + 4*Y^14 + 2*Y^13 + Y^12 + 3*Y^11 + 2*Y^10 + 
        5*Y^9 + 5*Y^8 + 5*Y^7 + Y^6 + Y^5 + 6*Y^3 + Y^2 + 6*Y + 4,
    T^32 - 6/7*T^31 - 9/49*T^30 + 8/49*T^29 - 3/7*T^28 + 5/7*T^27 - 23/49*T^26 - 
        12/49*T^25 + 22/49*T^24 + 15/49*T^23 + 6/49*T^22 - 34/49*T^21 - 4/7*T^20 + 
        20/49*T^19 + 20/49*T^18 + 11/49*T^17 - 30/49*T^16 + 11/49*T^15 + 20/49*T^14 
        + 20/49*T^13 - 4/7*T^12 - 34/49*T^11 + 6/49*T^10 + 15/49*T^9 + 22/49*T^8 - 
        12/49*T^7 - 23/49*T^6 + 5/7*T^5 - 3/7*T^4 + 8/49*T^3 - 9/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + X*Y^4 + 3*X*Y^3 + X*Y^2 + 4*X*Y + 5*X + Y^18
        + 2*Y^17 + 4*Y^16 + 3*Y^15 + 3*Y^14 + 4*Y^13 + Y^12 + Y^11 + Y^9 + 6*Y^8 + 
        3*Y^7 + 5*Y^6 + 2*Y^4 + 6*Y^3 + 5*Y^2 + Y + 2,
    T^32 - 18/7*T^31 + 157/49*T^30 - 18/7*T^29 + 26/49*T^28 + 66/49*T^27 - 11/7*T^26
        + 23/49*T^25 + 43/49*T^24 - 29/49*T^23 - 52/49*T^22 + 115/49*T^21 - 
        130/49*T^20 + 78/49*T^19 - 13/49*T^18 - 31/49*T^17 + 55/49*T^16 - 31/49*T^15
        - 13/49*T^14 + 78/49*T^13 - 130/49*T^12 + 115/49*T^11 - 52/49*T^10 - 
        29/49*T^9 + 43/49*T^8 + 23/49*T^7 - 11/7*T^6 + 66/49*T^5 + 26/49*T^4 - 
        18/7*T^3 + 157/49*T^2 - 18/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        4*X*Y^2 + 3*X*Y + 5*X + 3*Y^18 + 6*Y^17 + Y^16 + 4*Y^15 + 4*Y^14 + Y^13 + 
        4*Y^12 + 2*Y^11 + 4*Y^10 + 6*Y^8 + 2*Y^7 + 3*Y^6 + Y^5 + 2*Y^4 + 5*Y^3 + 
        6*Y^2 + Y + 2,
    -T^32 + 2*T^31 - 106/49*T^30 + 15/7*T^29 - 86/49*T^28 + 37/49*T^27 - 8/49*T^26 +
        15/49*T^25 - 12/49*T^24 - 33/49*T^23 + 90/49*T^22 - 132/49*T^21 + 
        132/49*T^20 - 83/49*T^19 + 23/49*T^18 - 4/49*T^17 + 4/49*T^15 - 23/49*T^14 +
        83/49*T^13 - 132/49*T^12 + 132/49*T^11 - 90/49*T^10 + 33/49*T^9 + 12/49*T^8 
        - 15/49*T^7 + 8/49*T^6 - 37/49*T^5 + 86/49*T^4 - 15/7*T^3 + 106/49*T^2 - 2*T
        + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 4*X*Y^3 + 4*X*Y^2 + X + 
        5*Y^18 + 5*Y^17 + 4*Y^16 + 5*Y^15 + 4*Y^14 + Y^13 + 4*Y^12 + 2*Y^11 + Y^9 + 
        5*Y^8 + 2*Y^7 + 2*Y^6 + 5*Y^5 + 2*Y^3 + 6*Y^2 + Y + 4,
    -T^32 + 4/7*T^31 + 29/49*T^30 - 25/49*T^29 - 18/49*T^28 + 39/49*T^27 - 
        24/49*T^26 - 5/49*T^25 - 1/49*T^24 + 5/49*T^23 + 3/49*T^22 + 23/49*T^21 - 
        2/7*T^20 + 11/49*T^19 - 3/49*T^18 - 10/49*T^17 + 10/49*T^15 + 3/49*T^14 - 
        11/49*T^13 + 2/7*T^12 - 23/49*T^11 - 3/49*T^10 - 5/49*T^9 + 1/49*T^8 + 
        5/49*T^7 + 24/49*T^6 - 39/49*T^5 + 18/49*T^4 + 25/49*T^3 - 29/49*T^2 - 4/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + X + Y^18 + 
        6*Y^16 + 6*Y^15 + Y^14 + 5*Y^13 + 6*Y^12 + 3*Y^11 + 3*Y^10 + 6*Y^9 + 4*Y^8 +
        4*Y^7 + Y^6 + 2*Y^5 + 4*Y^4 + Y^3 + Y^2 + 5*Y + 4,
    T^32 - 3*T^31 + 153/49*T^30 - 2/7*T^29 - 79/49*T^28 - 27/49*T^27 + 160/49*T^26 -
        104/49*T^25 - 61/49*T^24 + 101/49*T^23 + 11/49*T^22 - 67/49*T^21 - 
        10/49*T^20 + 75/49*T^19 - 31/49*T^18 - 6/7*T^17 + 66/49*T^16 - 6/7*T^15 - 
        31/49*T^14 + 75/49*T^13 - 10/49*T^12 - 67/49*T^11 + 11/49*T^10 + 101/49*T^9 
        - 61/49*T^8 - 104/49*T^7 + 160/49*T^6 - 27/49*T^5 - 79/49*T^4 - 2/7*T^3 + 
        153/49*T^2 - 3*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 6*X*Y^3 + 5*X*Y^2 + 
        3*X*Y + 5*X + Y^18 + Y^16 + 4*Y^15 + 3*Y^14 + Y^13 + 2*Y^12 + 2*Y^11 + 
        3*Y^10 + 2*Y^9 + 2*Y^8 + 4*Y^7 + 6*Y^6 + Y^5 + 2*Y^4 + 5*Y^3 + 5*Y^2 + 5*Y +
        5,
    -T^32 + 3/7*T^31 + 20/49*T^30 - 32/49*T^29 - 4/7*T^28 + 44/49*T^27 + 15/49*T^26 
        - 36/49*T^25 + 2/7*T^24 + 2/7*T^23 - 12/49*T^22 + 27/49*T^20 - 2/49*T^19 + 
        1/49*T^18 + 20/49*T^17 - 20/49*T^15 - 1/49*T^14 + 2/49*T^13 - 27/49*T^12 + 
        12/49*T^10 - 2/7*T^9 - 2/7*T^8 + 36/49*T^7 - 15/49*T^6 - 44/49*T^5 + 4/7*T^4
        + 32/49*T^3 - 20/49*T^2 - 3/7*T + 1
*], [*
    X^3 + X*Y^8 + X*Y^7 + 5*X*Y^5 + 6*X*Y^2 + 6*X*Y + 4*X + 3*Y^18 + 4*Y^17 + Y^16 +
        3*Y^15 + 5*Y^14 + 2*Y^13 + 2*Y^12 + 5*Y^11 + 5*Y^9 + 2*Y^8 + 5*Y^7 + 2*Y^6 +
        6*Y^5 + 4*Y^3 + 5*Y^2 + 3*Y + 4,
    -T^32 + 12/7*T^31 - 40/49*T^30 - 11/49*T^29 + 33/49*T^28 - 5/7*T^27 + 15/49*T^26
        + 18/49*T^25 - 64/49*T^24 + 92/49*T^23 - 6/7*T^22 - 4/7*T^21 + 20/49*T^20 + 
        11/49*T^18 - 6/49*T^17 + 6/49*T^15 - 11/49*T^14 - 20/49*T^12 + 4/7*T^11 + 
        6/7*T^10 - 92/49*T^9 + 64/49*T^8 - 18/49*T^7 - 15/49*T^6 + 5/7*T^5 - 
        33/49*T^4 + 11/49*T^3 + 40/49*T^2 - 12/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 
        6*X*Y^2 + 4*X*Y + 6*X + Y^18 + 2*Y^17 + 2*Y^16 + 2*Y^15 + 5*Y^14 + 4*Y^13 + 
        3*Y^12 + 6*Y^11 + 5*Y^10 + 5*Y^9 + 3*Y^6 + 4*Y^5 + 5*Y^3 + 6*Y^2 + 5*Y + 2,
    -T^32 + 4/7*T^31 + 12/7*T^30 - 4/7*T^29 - 62/49*T^28 - 4/49*T^27 + 44/49*T^26 - 
        31/49*T^25 - 39/49*T^24 + 86/49*T^23 + 34/49*T^22 - 82/49*T^21 - 2/7*T^20 + 
        55/49*T^19 + 16/49*T^18 - 94/49*T^17 + 94/49*T^15 - 16/49*T^14 - 55/49*T^13 
        + 2/7*T^12 + 82/49*T^11 - 34/49*T^10 - 86/49*T^9 + 39/49*T^8 + 31/49*T^7 - 
        44/49*T^6 + 4/49*T^5 + 62/49*T^4 + 4/7*T^3 - 12/7*T^2 - 4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + X*Y^2 + 6*X*Y 
        + 3*X + 3*Y^18 + 5*Y^17 + 2*Y^16 + 2*Y^15 + 5*Y^14 + 4*Y^13 + 3*Y^11 + 
        2*Y^10 + 4*Y^9 + 6*Y^7 + 2*Y^6 + Y^5 + Y^4 + 3*Y^3 + 2*Y^2 + Y + 3,
    -T^32 + 6/7*T^31 + 1/49*T^30 - 46/49*T^29 + 9/7*T^28 - 1/7*T^27 - 58/49*T^26 + 
        72/49*T^25 - 46/49*T^24 - 5/49*T^23 + 53/49*T^22 - 46/49*T^21 + 6/49*T^20 + 
        32/49*T^19 - 44/49*T^18 + 32/49*T^17 - 32/49*T^15 + 44/49*T^14 - 32/49*T^13 
        - 6/49*T^12 + 46/49*T^11 - 53/49*T^10 + 5/49*T^9 + 46/49*T^8 - 72/49*T^7 + 
        58/49*T^6 + 1/7*T^5 - 9/7*T^4 + 46/49*T^3 - 1/49*T^2 - 6/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + X*Y^2 + 5*Y^18 +
        2*Y^17 + 5*Y^16 + 4*Y^14 + Y^13 + 2*Y^12 + 4*Y^11 + 4*Y^10 + Y^9 + 3*Y^8 + 
        5*Y^7 + 5*Y^6 + 6*Y^5 + 6*Y^4 + Y^3 + 6*Y + 5,
    -T^32 + 2*T^31 - 57/49*T^30 + 5/49*T^29 + 8/49*T^28 - 18/49*T^27 - 1/7*T^26 + 
        44/49*T^25 - 2/7*T^24 - 33/49*T^23 + 4/7*T^22 - 4/49*T^21 - 2/49*T^20 + 
        16/49*T^19 - 2/7*T^18 - 2/7*T^17 + 2/7*T^15 + 2/7*T^14 - 16/49*T^13 + 
        2/49*T^12 + 4/49*T^11 - 4/7*T^10 + 33/49*T^9 + 2/7*T^8 - 44/49*T^7 + 1/7*T^6
        + 18/49*T^5 - 8/49*T^4 - 5/49*T^3 + 57/49*T^2 - 2*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + X*Y^7 + 5*X*Y^5 + 5*X*Y^3 + 5*X*Y^2 + 2*X*Y + 3*X + 
        6*Y^18 + 5*Y^16 + 6*Y^15 + 6*Y^14 + 3*Y^13 + 3*Y^12 + 6*Y^11 + 2*Y^10 + 
        6*Y^9 + 5*Y^7 + 4*Y^6 + 4*Y^5 + 3*Y^3 + 2*Y^2 + 4*Y + 1,
    T^32 - T^31 + 2/7*T^30 - 39/49*T^28 - 3/49*T^27 - 1/7*T^26 + 29/49*T^25 + 
        27/49*T^24 - 3/49*T^23 + 23/49*T^22 - 17/49*T^21 - 9/49*T^20 - 37/49*T^19 + 
        2/49*T^18 + 32/49*T^17 - 20/49*T^16 + 32/49*T^15 + 2/49*T^14 - 37/49*T^13 - 
        9/49*T^12 - 17/49*T^11 + 23/49*T^10 - 3/49*T^9 + 27/49*T^8 + 29/49*T^7 - 
        1/7*T^6 - 3/49*T^5 - 39/49*T^4 + 2/7*T^2 - T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + X*Y^7 + 2*X*Y^6 + X*Y^5 + 6*X*Y^4 + 3*X*Y^2 + 2*X*Y + 
        5*X + 4*Y^18 + 4*Y^17 + 6*Y^15 + 2*Y^14 + 6*Y^13 + Y^12 + 6*Y^11 + 5*Y^10 + 
        5*Y^8 + 4*Y^7 + Y^6 + 6*Y^5 + 3*Y^4 + 2*Y^3 + 4*Y^2 + 6*Y + 1,
    -T^32 - 1/7*T^31 + 2/7*T^30 + 59/49*T^29 + 73/49*T^28 + 20/49*T^27 - 72/49*T^26 
        - 113/49*T^25 - 85/49*T^24 + 24/49*T^23 + 134/49*T^22 + 153/49*T^21 + 
        55/49*T^20 - 94/49*T^19 - 193/49*T^18 - 146/49*T^17 + 146/49*T^15 + 
        193/49*T^14 + 94/49*T^13 - 55/49*T^12 - 153/49*T^11 - 134/49*T^10 - 
        24/49*T^9 + 85/49*T^8 + 113/49*T^7 + 72/49*T^6 - 20/49*T^5 - 73/49*T^4 - 
        59/49*T^3 - 2/7*T^2 + 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 
        2*X*Y^2 + X*Y + Y^18 + 2*Y^17 + Y^16 + 2*Y^15 + 4*Y^13 + Y^12 + 5*Y^11 + 
        Y^10 + 2*Y^9 + 4*Y^8 + 6*Y^6 + 2*Y^5 + 4*Y^4 + 3*Y^3 + Y^2 + Y + 4,
    -T^32 - T^31 + 46/49*T^30 + 83/49*T^29 - 1/49*T^28 - 60/49*T^27 - 8/49*T^26 + 
        4/7*T^25 + 15/49*T^24 - 1/49*T^23 + 23/49*T^22 + 2/49*T^21 - 10/7*T^20 - 
        67/49*T^19 + 46/49*T^18 + 15/7*T^17 - 15/7*T^15 - 46/49*T^14 + 67/49*T^13 + 
        10/7*T^12 - 2/49*T^11 - 23/49*T^10 + 1/49*T^9 - 15/49*T^8 - 4/7*T^7 + 
        8/49*T^6 + 60/49*T^5 + 1/49*T^4 - 83/49*T^3 - 46/49*T^2 + T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + X*Y^4 + X*Y^3 + 5*X*Y^2 + 
        2*X*Y + 4*X + Y^18 + 4*Y^17 + 2*Y^16 + 6*Y^15 + 4*Y^14 + 4*Y^12 + 2*Y^11 + 
        3*Y^10 + 4*Y^9 + 4*Y^8 + Y^6 + 4*Y^5 + 3*Y^3 + 2*Y^2 + Y + 1,
    T^32 + 6/7*T^31 + 43/49*T^30 + 48/49*T^29 + 80/49*T^28 + 11/7*T^27 + 51/49*T^26 
        + 48/49*T^25 + 20/49*T^24 + 5/49*T^23 - 4/7*T^22 - 24/49*T^21 - 59/49*T^20 -
        97/49*T^19 - 101/49*T^18 - 103/49*T^17 - 93/49*T^16 - 103/49*T^15 - 
        101/49*T^14 - 97/49*T^13 - 59/49*T^12 - 24/49*T^11 - 4/7*T^10 + 5/49*T^9 + 
        20/49*T^8 + 48/49*T^7 + 51/49*T^6 + 11/7*T^5 + 80/49*T^4 + 48/49*T^3 + 
        43/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + X*Y^2 
        + 4*X + 5*Y^18 + 5*Y^17 + 6*Y^16 + 4*Y^15 + 6*Y^14 + 4*Y^13 + Y^12 + 3*Y^11 
        + 3*Y^10 + 4*Y^9 + 4*Y^8 + 2*Y^7 + 4*Y^6 + 6*Y^4 + 4*Y^3 + 2*Y^2 + 4*Y + 3,
    T^32 + 6/7*T^31 - 34/49*T^30 - 65/49*T^29 - 29/49*T^28 + 39/49*T^27 + 54/49*T^26
        + 2/7*T^25 - 39/49*T^24 - 47/49*T^23 + 18/49*T^22 + 64/49*T^21 + 1/7*T^20 - 
        62/49*T^19 - 57/49*T^18 + 20/49*T^17 + 88/49*T^16 + 20/49*T^15 - 57/49*T^14 
        - 62/49*T^13 + 1/7*T^12 + 64/49*T^11 + 18/49*T^10 - 47/49*T^9 - 39/49*T^8 + 
        2/7*T^7 + 54/49*T^6 + 39/49*T^5 - 29/49*T^4 - 65/49*T^3 - 34/49*T^2 + 6/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + X*Y^4 + 2*X*Y^3 + 
        5*X*Y^2 + 4*X*Y + 5*X + 5*Y^18 + 6*Y^16 + 2*Y^15 + 6*Y^13 + Y^11 + Y^10 + 
        Y^9 + 2*Y^8 + 4*Y^7 + 3*Y^4 + 3*Y^3 + 5*Y^2 + 6*Y + 3,
    -T^32 + T^31 + 6/7*T^30 - 30/49*T^29 - 71/49*T^28 + 15/49*T^27 + 65/49*T^26 + 
        11/49*T^25 - 4/7*T^24 - 4/7*T^23 + 24/49*T^22 - 44/49*T^21 + 50/49*T^20 + 
        9/7*T^19 - 32/49*T^18 - 95/49*T^17 + 95/49*T^15 + 32/49*T^14 - 9/7*T^13 - 
        50/49*T^12 + 44/49*T^11 - 24/49*T^10 + 4/7*T^9 + 4/7*T^8 - 11/49*T^7 - 
        65/49*T^6 - 15/49*T^5 + 71/49*T^4 + 30/49*T^3 - 6/7*T^2 - T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + X*Y^3 + 5*X*Y^2 
        + 4*X*Y + 2*X + 6*Y^18 + 3*Y^17 + 6*Y^16 + 5*Y^15 + 4*Y^14 + 6*Y^13 + 5*Y^12
        + 2*Y^11 + 2*Y^10 + 3*Y^9 + 3*Y^8 + 2*Y^7 + Y^6 + 6*Y^5 + Y^3 + Y^2 + 2*Y + 
        4,
    T^32 + 3/7*T^31 - 34/49*T^30 - 25/49*T^29 + 46/49*T^28 + 36/49*T^27 - 46/49*T^26
        - 61/49*T^25 + 32/49*T^24 + 47/49*T^23 - 26/49*T^22 - 61/49*T^21 + 
        16/49*T^20 + 43/49*T^19 + 22/49*T^18 + 3/49*T^16 + 22/49*T^14 + 43/49*T^13 +
        16/49*T^12 - 61/49*T^11 - 26/49*T^10 + 47/49*T^9 + 32/49*T^8 - 61/49*T^7 - 
        46/49*T^6 + 36/49*T^5 + 46/49*T^4 - 25/49*T^3 - 34/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + X*Y^2 
        + X*Y + 5*X + 2*Y^18 + Y^17 + Y^16 + 2*Y^15 + 3*Y^14 + 6*Y^11 + 4*Y^9 + Y^8 
        + 3*Y^7 + Y^6 + 6*Y^4 + 5*Y^3 + 6*Y^2 + 5*Y + 5,
    -T^32 - 11/7*T^31 - 10/7*T^30 - 45/49*T^29 - 45/49*T^28 - 16/49*T^27 + 
        10/49*T^26 + 20/49*T^25 + 17/49*T^24 + 31/49*T^23 + 53/49*T^22 + 68/49*T^21 
        + 72/49*T^20 + 82/49*T^19 + 53/49*T^18 + 8/49*T^17 - 8/49*T^15 - 53/49*T^14 
        - 82/49*T^13 - 72/49*T^12 - 68/49*T^11 - 53/49*T^10 - 31/49*T^9 - 17/49*T^8 
        - 20/49*T^7 - 10/49*T^6 + 16/49*T^5 + 45/49*T^4 + 45/49*T^3 + 10/7*T^2 + 
        11/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 
        4*X*Y^2 + 2*X*Y + 6*X + 6*Y^18 + 5*Y^16 + Y^14 + 6*Y^13 + 2*Y^12 + 4*Y^10 + 
        3*Y^9 + Y^8 + 5*Y^7 + 2*Y^6 + 2*Y^5 + 4*Y^4 + Y^3 + 4*Y^2 + 2*Y + 3,
    -T^32 - 9/7*T^31 - 61/49*T^30 - 20/49*T^29 + 2/7*T^28 + 38/49*T^27 + 31/49*T^26 
        - 26/49*T^25 - 37/49*T^24 - 33/49*T^23 - 18/49*T^22 - 13/49*T^21 - 8/49*T^20
        + 8/49*T^19 + 10/49*T^17 - 10/49*T^15 - 8/49*T^13 + 8/49*T^12 + 13/49*T^11 +
        18/49*T^10 + 33/49*T^9 + 37/49*T^8 + 26/49*T^7 - 31/49*T^6 - 38/49*T^5 - 
        2/7*T^4 + 20/49*T^3 + 61/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + X*Y^7 + 2*X*Y^6 + X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 5*X*Y + 
        3*X + 4*Y^18 + 3*Y^17 + 3*Y^16 + 6*Y^15 + 2*Y^14 + Y^12 + 5*Y^11 + 5*Y^10 + 
        3*Y^9 + Y^8 + Y^6 + 6*Y^4 + 2*Y^3 + 3*Y^2 + 6,
    -T^32 - 8/7*T^31 + 12/49*T^30 - 12/49*T^29 - 59/49*T^28 + 8/49*T^27 + 57/49*T^26
        - 25/49*T^25 - 46/49*T^24 + 57/49*T^23 + 79/49*T^22 - 25/49*T^21 - 
        24/49*T^20 + 2*T^19 + 45/49*T^18 - 85/49*T^17 + 85/49*T^15 - 45/49*T^14 - 
        2*T^13 + 24/49*T^12 + 25/49*T^11 - 79/49*T^10 - 57/49*T^9 + 46/49*T^8 + 
        25/49*T^7 - 57/49*T^6 - 8/49*T^5 + 59/49*T^4 + 12/49*T^3 - 12/49*T^2 + 8/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + X*Y^3 + X*Y^2 + 
        6*X*Y + X + 4*Y^18 + 5*Y^17 + 5*Y^16 + Y^14 + 5*Y^13 + 2*Y^12 + 5*Y^9 + 
        5*Y^8 + 2*Y^7 + 2*Y^6 + 5*Y^5 + 5*Y^4 + 4*Y^2 + Y + 6,
    -T^32 + 5/7*T^31 - 3/7*T^30 - 12/49*T^29 + 17/49*T^28 + 5/49*T^27 - 39/49*T^26 +
        53/49*T^25 - 3/49*T^24 - 8/49*T^23 + 17/49*T^22 + 9/49*T^21 - 33/49*T^20 + 
        26/49*T^19 - 10/49*T^18 + 6/49*T^17 - 6/49*T^15 + 10/49*T^14 - 26/49*T^13 + 
        33/49*T^12 - 9/49*T^11 - 17/49*T^10 + 8/49*T^9 + 3/49*T^8 - 53/49*T^7 + 
        39/49*T^6 - 5/49*T^5 - 17/49*T^4 + 12/49*T^3 + 3/7*T^2 - 5/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + X*Y^5 + X*Y^4 + 4*X*Y^3 + 3*X*Y^2 + 4*X*Y + 
        4*X + 5*Y^18 + 4*Y^17 + 4*Y^16 + 6*Y^13 + Y^12 + 2*Y^11 + Y^9 + 4*Y^8 + 
        5*Y^7 + 4*Y^6 + 2*Y^5 + 6*Y^4 + 3*Y^3 + 5*Y^2 + 4,
    T^32 - 1/7*T^31 - 51/49*T^30 + 9/49*T^29 + 33/49*T^28 + 36/49*T^27 - 9/49*T^26 -
        38/49*T^25 - 5/49*T^24 + 46/49*T^23 + 9/49*T^22 + 2/49*T^21 - 1/49*T^20 - 
        20/49*T^19 + 3/49*T^18 + 8/49*T^17 + 16/49*T^16 + 8/49*T^15 + 3/49*T^14 - 
        20/49*T^13 - 1/49*T^12 + 2/49*T^11 + 9/49*T^10 + 46/49*T^9 - 5/49*T^8 - 
        38/49*T^7 - 9/49*T^6 + 36/49*T^5 + 33/49*T^4 + 9/49*T^3 - 51/49*T^2 - 1/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + X*Y^3 + 
        4*X*Y^2 + 6*X + 3*Y^18 + 6*Y^17 + Y^16 + 3*Y^15 + 2*Y^14 + Y^13 + Y^12 + 
        2*Y^11 + 3*Y^10 + 2*Y^9 + 3*Y^8 + 6*Y^7 + Y^6 + 5*Y^5 + 2*Y^4 + 3*Y^3 + 
        2*Y^2 + Y + 3,
    T^32 - 6/7*T^31 - 43/49*T^30 + 12/7*T^29 - 2/7*T^28 - 75/49*T^27 + 47/49*T^26 + 
        12/49*T^25 - 51/49*T^24 + 9/7*T^23 - 24/49*T^22 - 38/49*T^21 + 61/49*T^20 - 
        13/49*T^19 - 27/49*T^18 + 3/49*T^17 + 17/49*T^16 + 3/49*T^15 - 27/49*T^14 - 
        13/49*T^13 + 61/49*T^12 - 38/49*T^11 - 24/49*T^10 + 9/7*T^9 - 51/49*T^8 + 
        12/49*T^7 + 47/49*T^6 - 75/49*T^5 - 2/7*T^4 + 12/7*T^3 - 43/49*T^2 - 6/7*T +
        1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 
        6*X*Y^2 + 6*X*Y + 4*X + 6*Y^18 + 2*Y^17 + Y^16 + 6*Y^15 + 5*Y^14 + 6*Y^13 + 
        2*Y^12 + 4*Y^11 + 3*Y^10 + 2*Y^9 + 2*Y^8 + 6*Y^7 + 2*Y^6 + 6*Y^5 + 4*Y^4 + 
        Y^3 + 5*Y^2 + 3*Y + 3,
    T^32 + 2/7*T^31 + 6/49*T^30 - 1/49*T^29 - 45/49*T^28 + 34/49*T^27 - 37/49*T^26 +
        3/7*T^25 + 1/49*T^24 - 29/49*T^23 + 53/49*T^22 - 75/49*T^21 + 22/49*T^20 - 
        36/49*T^19 - 5/7*T^18 + 72/49*T^17 - 4/7*T^16 + 72/49*T^15 - 5/7*T^14 - 
        36/49*T^13 + 22/49*T^12 - 75/49*T^11 + 53/49*T^10 - 29/49*T^9 + 1/49*T^8 + 
        3/7*T^7 - 37/49*T^6 + 34/49*T^5 - 45/49*T^4 - 1/49*T^3 + 6/49*T^2 + 2/7*T + 
        1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 6*X*Y^2 + 5*X + 5*Y^18 + 
        4*Y^17 + 2*Y^16 + 3*Y^15 + 5*Y^14 + 5*Y^13 + 6*Y^12 + 2*Y^11 + 3*Y^9 + 6*Y^8
        + 4*Y^7 + 2*Y^6 + 6*Y^5 + 6*Y^4 + Y^3 + 6*Y^2 + 6*Y + 3,
    -T^32 - 4/7*T^31 + 36/49*T^30 + 26/49*T^29 - 25/49*T^28 + 6/7*T^27 + 72/49*T^26 
        - 10/49*T^25 - 39/49*T^24 + 15/49*T^23 + 33/49*T^22 - 48/49*T^21 - 
        51/49*T^20 + 5/49*T^19 - 1/49*T^18 - 59/49*T^17 + 59/49*T^15 + 1/49*T^14 - 
        5/49*T^13 + 51/49*T^12 + 48/49*T^11 - 33/49*T^10 - 15/49*T^9 + 39/49*T^8 + 
        10/49*T^7 - 72/49*T^6 - 6/7*T^5 + 25/49*T^4 - 26/49*T^3 - 36/49*T^2 + 4/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 
        4*X*Y^2 + 2*X*Y + Y^18 + 6*Y^17 + 5*Y^16 + 4*Y^15 + 4*Y^14 + 4*Y^11 + 4*Y^10
        + 3*Y^9 + 2*Y^8 + 4*Y^7 + 3*Y^6 + 4*Y^5 + 5*Y^4 + 6*Y^3 + Y^2 + 5,
    T^32 - 2/7*T^31 - 8/7*T^30 + 52/49*T^29 - 1/49*T^28 - 22/49*T^27 + 30/49*T^26 - 
        32/49*T^25 - 3/49*T^24 + 1/7*T^23 + 8/49*T^22 + 6/49*T^21 - 54/49*T^20 + 
        33/49*T^19 + 24/49*T^18 - 30/49*T^17 + 22/49*T^16 - 30/49*T^15 + 24/49*T^14 
        + 33/49*T^13 - 54/49*T^12 + 6/49*T^11 + 8/49*T^10 + 1/7*T^9 - 3/49*T^8 - 
        32/49*T^7 + 30/49*T^6 - 22/49*T^5 - 1/49*T^4 + 52/49*T^3 - 8/7*T^2 - 2/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + X*Y^7 + 6*X*Y^5 + X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + 6*X*Y + 
        6*X + Y^18 + 4*Y^17 + Y^16 + 2*Y^15 + 3*Y^14 + 2*Y^12 + 6*Y^11 + Y^10 + 
        2*Y^9 + 3*Y^8 + 3*Y^7 + 6*Y^6 + 6*Y^5 + 6*Y^3 + 2*Y^2 + 5*Y + 2,
    -T^32 - 4/7*T^31 - 24/49*T^30 - 2/7*T^29 + 6/49*T^28 - 15/49*T^27 + 17/49*T^26 +
        8/49*T^25 + 53/49*T^24 + 4/7*T^23 + 37/49*T^22 + T^21 + 15/49*T^20 + 
        50/49*T^19 + 2/49*T^18 + 8/49*T^17 - 8/49*T^15 - 2/49*T^14 - 50/49*T^13 - 
        15/49*T^12 - T^11 - 37/49*T^10 - 4/7*T^9 - 53/49*T^8 - 8/49*T^7 - 17/49*T^6 
        + 15/49*T^5 - 6/49*T^4 + 2/7*T^3 + 24/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + X*Y^4 + 3*X*Y^2 + 4*X*Y + 4*X + 
        2*Y^18 + 6*Y^17 + 6*Y^16 + Y^15 + 4*Y^14 + 4*Y^13 + 6*Y^12 + 5*Y^11 + 5*Y^9 
        + 6*Y^8 + 2*Y^7 + 6*Y^6 + 4*Y^4 + 3*Y^3 + 5*Y + 3,
    -T^32 - 6/7*T^31 - 9/49*T^30 + 13/49*T^29 + 22/49*T^28 - 10/49*T^27 - 20/49*T^26
        + 2/49*T^25 + 13/49*T^24 + 2/7*T^23 - 4/49*T^22 - 26/49*T^21 - 15/49*T^20 - 
        33/49*T^19 - 31/49*T^18 - 2/7*T^17 + 2/7*T^15 + 31/49*T^14 + 33/49*T^13 + 
        15/49*T^12 + 26/49*T^11 + 4/49*T^10 - 2/7*T^9 - 13/49*T^8 - 2/49*T^7 + 
        20/49*T^6 + 10/49*T^5 - 22/49*T^4 - 13/49*T^3 + 9/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 5*X*Y^2 + X*Y 
        + 6*X + 6*Y^18 + Y^16 + 5*Y^15 + 2*Y^14 + 3*Y^12 + 4*Y^10 + Y^9 + 3*Y^8 + 
        Y^7 + 2*Y^6 + 3*Y^5 + 6*Y^4 + 3*Y^3 + 2*Y^2 + 2*Y + 6,
    -T^32 - 6/7*T^31 - 12/49*T^30 + 43/49*T^29 + 64/49*T^28 + 22/49*T^27 - 3/7*T^26 
        - 37/49*T^25 - 25/49*T^24 + 26/49*T^23 + 55/49*T^22 + 51/49*T^21 + 
        23/49*T^20 - 26/49*T^19 - 65/49*T^18 - 58/49*T^17 + 58/49*T^15 + 65/49*T^14 
        + 26/49*T^13 - 23/49*T^12 - 51/49*T^11 - 55/49*T^10 - 26/49*T^9 + 25/49*T^8 
        + 37/49*T^7 + 3/7*T^6 - 22/49*T^5 - 64/49*T^4 - 43/49*T^3 + 12/49*T^2 + 
        6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 
        3*X*Y^2 + 2*X*Y + 5*Y^18 + 2*Y^17 + 4*Y^16 + 3*Y^15 + 3*Y^14 + 5*Y^12 + 
        2*Y^11 + 5*Y^10 + 5*Y^9 + 5*Y^8 + 2*Y^7 + 3*Y^5 + Y^4 + 6*Y^3 + 5*Y + 1,
    T^32 - 8/7*T^31 - 3/7*T^30 + 19/49*T^29 + 4/7*T^28 - 22/49*T^27 - 22/49*T^26 + 
        22/49*T^25 + 5/7*T^24 - 16/49*T^23 - 26/49*T^22 + 9/49*T^21 - 1/49*T^20 + 
        15/49*T^19 - 48/49*T^18 + 3/7*T^17 + 32/49*T^16 + 3/7*T^15 - 48/49*T^14 + 
        15/49*T^13 - 1/49*T^12 + 9/49*T^11 - 26/49*T^10 - 16/49*T^9 + 5/7*T^8 + 
        22/49*T^7 - 22/49*T^6 - 22/49*T^5 + 4/7*T^4 + 19/49*T^3 - 3/7*T^2 - 8/7*T + 
        1
*], [*
    X^3 + 6*X*Y^8 + 2*X*Y^7 + X*Y^6 + 4*X*Y^5 + X*Y^4 + 5*X*Y^3 + 4*X*Y^2 + 4*X*Y + 
        X + 4*Y^18 + 3*Y^16 + 6*Y^15 + 4*Y^14 + 6*Y^13 + 4*Y^12 + 6*Y^11 + Y^7 + 
        4*Y^6 + 2*Y^5 + 3*Y^4 + 4*Y^3 + 4*Y^2 + 3*Y + 3,
    -T^32 + 3/7*T^31 + 34/49*T^30 - 69/49*T^29 + 23/49*T^28 + 13/49*T^27 - 4/7*T^26 
        + 8/7*T^25 - 9/49*T^24 - 5/7*T^23 + 37/49*T^22 + 52/49*T^21 - 33/49*T^20 - 
        16/49*T^19 + 68/49*T^18 - 43/49*T^17 + 43/49*T^15 - 68/49*T^14 + 16/49*T^13 
        + 33/49*T^12 - 52/49*T^11 - 37/49*T^10 + 5/7*T^9 + 9/49*T^8 - 8/7*T^7 + 
        4/7*T^6 - 13/49*T^5 - 23/49*T^4 + 69/49*T^3 - 34/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + X*Y^6 + 6*X*Y^5 + 5*X*Y^3 + 5*X*Y^2 + 6*X*Y 
        + X + Y^18 + 5*Y^17 + 6*Y^16 + 3*Y^15 + 3*Y^14 + 3*Y^12 + 6*Y^11 + Y^9 + 
        4*Y^8 + 6*Y^5 + 6*Y^4 + 2*Y^3 + 5*Y^2 + Y,
    T^32 - 2/7*T^31 - 3/7*T^30 - 17/49*T^29 - 8/49*T^28 + 11/49*T^27 + 22/49*T^26 + 
        41/49*T^25 - 40/49*T^24 - 8/49*T^23 - 20/49*T^22 - 15/49*T^21 + 30/49*T^20 +
        39/49*T^19 - T^17 + 16/49*T^16 - T^15 + 39/49*T^13 + 30/49*T^12 - 15/49*T^11
        - 20/49*T^10 - 8/49*T^9 - 40/49*T^8 + 41/49*T^7 + 22/49*T^6 + 11/49*T^5 - 
        8/49*T^4 - 17/49*T^3 - 3/7*T^2 - 2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 4*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 
        4*X*Y + 3*X + 6*Y^18 + 3*Y^17 + 5*Y^16 + 3*Y^15 + 3*Y^14 + Y^13 + Y^12 + 
        6*Y^11 + 3*Y^9 + Y^8 + 4*Y^7 + 2*Y^6 + 5*Y^5 + 5*Y^4 + 4*Y^3 + Y^2 + Y + 4,
    T^32 - 2/7*T^31 - 48/49*T^30 + 11/49*T^29 - 11/49*T^28 + 9/49*T^27 + 32/49*T^26 
        - 16/49*T^25 - 2/49*T^24 - 9/49*T^23 + 9/49*T^22 + 3/49*T^21 - 3/7*T^20 + 
        22/49*T^19 - 22/49*T^18 - 3/7*T^17 + 62/49*T^16 - 3/7*T^15 - 22/49*T^14 + 
        22/49*T^13 - 3/7*T^12 + 3/49*T^11 + 9/49*T^10 - 9/49*T^9 - 2/49*T^8 - 
        16/49*T^7 + 32/49*T^6 + 9/49*T^5 - 11/49*T^4 + 11/49*T^3 - 48/49*T^2 - 2/7*T
        + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + X*Y^6 + 2*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 3*X*Y + 5*X + 
        6*Y^18 + 5*Y^17 + 2*Y^16 + 2*Y^15 + 2*Y^14 + 3*Y^13 + 4*Y^12 + 6*Y^11 + 
        6*Y^10 + 3*Y^8 + 2*Y^7 + 2*Y^6 + 3*Y^5 + Y^4 + 5*Y^3 + Y + 3,
    T^32 - 4/7*T^31 - 37/49*T^30 + 57/49*T^29 - 15/49*T^28 - 65/49*T^27 + 59/49*T^26
        + 30/49*T^25 - 47/49*T^24 - 3/7*T^23 + 36/49*T^22 + 8/49*T^21 - 29/49*T^20 +
        8/49*T^19 + 38/49*T^18 - 3/7*T^17 - 4/7*T^16 - 3/7*T^15 + 38/49*T^14 + 
        8/49*T^13 - 29/49*T^12 + 8/49*T^11 + 36/49*T^10 - 3/7*T^9 - 47/49*T^8 + 
        30/49*T^7 + 59/49*T^6 - 65/49*T^5 - 15/49*T^4 + 57/49*T^3 - 37/49*T^2 - 
        4/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + X*Y^6 + 2*X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + 4*X*Y 
        + 2*X + 2*Y^18 + 6*Y^17 + 6*Y^16 + Y^15 + 4*Y^14 + Y^13 + 5*Y^12 + 5*Y^11 + 
        3*Y^10 + 5*Y^8 + 6*Y^7 + 3*Y^5 + 2*Y^4 + Y^3 + 5*Y^2 + 3*Y,
    T^32 - 8/7*T^31 - 27/49*T^30 + 57/49*T^29 - 5/7*T^28 + 20/49*T^27 - 5/49*T^26 - 
        4/7*T^25 + 46/49*T^24 - 10/49*T^23 - 10/49*T^22 + 1/7*T^21 - 6/49*T^20 - 
        2/7*T^19 + 30/49*T^18 + 3/7*T^17 - 74/49*T^16 + 3/7*T^15 + 30/49*T^14 - 
        2/7*T^13 - 6/49*T^12 + 1/7*T^11 - 10/49*T^10 - 10/49*T^9 + 46/49*T^8 - 
        4/7*T^7 - 5/49*T^6 + 20/49*T^5 - 5/7*T^4 + 57/49*T^3 - 27/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + 5*X*Y + 5*X + Y^18 + 5*Y^16 + 3*Y^15 + 2*Y^14 + 5*Y^12 + 6*Y^11 + 
        6*Y^10 + 3*Y^7 + 3*Y^6 + 3*Y^5 + 6*Y^4 + Y^3 + 3*Y^2 + 6*Y,
    T^32 - 10/7*T^31 - 19/49*T^30 + 73/49*T^29 + 4/49*T^28 - 53/49*T^27 + 17/49*T^26
        - 10/49*T^25 + 16/49*T^24 + 18/49*T^23 - 32/49*T^22 - 1/49*T^21 + 2/7*T^20 -
        1/49*T^19 - 15/49*T^18 + 20/49*T^17 - 16/49*T^16 + 20/49*T^15 - 15/49*T^14 -
        1/49*T^13 + 2/7*T^12 - 1/49*T^11 - 32/49*T^10 + 18/49*T^9 + 16/49*T^8 - 
        10/49*T^7 + 17/49*T^6 - 53/49*T^5 + 4/49*T^4 + 73/49*T^3 - 19/49*T^2 - 
        10/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        5*X*Y^2 + 2*X*Y + X + 4*Y^18 + 3*Y^17 + 4*Y^16 + 5*Y^15 + 4*Y^14 + Y^13 + 
        2*Y^12 + 2*Y^11 + 5*Y^10 + 4*Y^9 + 4*Y^7 + 4*Y^6 + Y^5 + 5*Y^4 + Y^3 + Y^2 +
        Y,
    -T^32 + 4/7*T^31 + 6/7*T^30 - 3/49*T^29 - 44/49*T^28 + 24/49*T^27 + 33/49*T^26 -
        51/49*T^25 - 8/49*T^24 + 36/49*T^23 + 2/7*T^22 - 25/49*T^21 + 3/49*T^20 + 
        39/49*T^19 - 25/49*T^18 - 41/49*T^17 + 41/49*T^15 + 25/49*T^14 - 39/49*T^13 
        - 3/49*T^12 + 25/49*T^11 - 2/7*T^10 - 36/49*T^9 + 8/49*T^8 + 51/49*T^7 - 
        33/49*T^6 - 24/49*T^5 + 44/49*T^4 + 3/49*T^3 - 6/7*T^2 - 4/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + X*Y + 
        3*Y^18 + 3*Y^15 + 2*Y^14 + Y^13 + 3*Y^12 + 2*Y^11 + 6*Y^10 + 4*Y^9 + Y^8 + 
        4*Y^7 + Y^6 + 4*Y^5 + 5*Y^4 + Y^2 + 5*Y + 1,
    T^32 - 12/7*T^31 + 89/49*T^30 - 76/49*T^29 + 25/49*T^28 + 32/49*T^27 - 
        65/49*T^26 + 60/49*T^25 - 1/49*T^24 - 38/49*T^23 + 64/49*T^22 - 8/7*T^21 + 
        24/49*T^20 + 19/49*T^19 - 10/7*T^18 + 99/49*T^17 - 93/49*T^16 + 99/49*T^15 -
        10/7*T^14 + 19/49*T^13 + 24/49*T^12 - 8/7*T^11 + 64/49*T^10 - 38/49*T^9 - 
        1/49*T^8 + 60/49*T^7 - 65/49*T^6 + 32/49*T^5 + 25/49*T^4 - 76/49*T^3 + 
        89/49*T^2 - 12/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 4*X*Y^2 + 2*X*Y + 6*X + 
        2*Y^18 + Y^17 + 2*Y^16 + Y^15 + Y^14 + 4*Y^13 + 5*Y^12 + 3*Y^11 + 5*Y^10 + 
        3*Y^9 + Y^8 + 6*Y^7 + 4*Y^4 + 2*Y^3 + Y^2,
    -T^32 - 13/7*T^31 - 5/7*T^30 + 55/49*T^29 + 82/49*T^28 + 50/49*T^27 - 5/49*T^26 
        - 46/49*T^25 - 53/49*T^24 - 39/49*T^23 - 8/49*T^22 + 29/49*T^21 + 40/49*T^20
        - 1/7*T^19 - 50/49*T^18 - 32/49*T^17 + 32/49*T^15 + 50/49*T^14 + 1/7*T^13 - 
        40/49*T^12 - 29/49*T^11 + 8/49*T^10 + 39/49*T^9 + 53/49*T^8 + 46/49*T^7 + 
        5/49*T^6 - 50/49*T^5 - 82/49*T^4 - 55/49*T^3 + 5/7*T^2 + 13/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 3*X*Y^7 + X*Y^6 + X*Y^5 + X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 
        3*X*Y + 2*X + Y^18 + Y^17 + 6*Y^16 + 5*Y^15 + 4*Y^14 + Y^13 + 4*Y^12 + 
        2*Y^11 + 3*Y^10 + 6*Y^8 + Y^7 + 3*Y^5 + Y^4 + 5*Y^3 + 4*Y^2 + 3,
    -T^32 + 12/7*T^31 - 36/49*T^30 - 32/49*T^29 + 6/7*T^28 - 27/49*T^27 + 16/49*T^26
        + 12/49*T^25 - 43/49*T^24 + 15/49*T^23 + 52/49*T^22 - 9/7*T^21 + 13/49*T^20 
        + 32/49*T^19 - 43/49*T^18 + 30/49*T^17 - 30/49*T^15 + 43/49*T^14 - 
        32/49*T^13 - 13/49*T^12 + 9/7*T^11 - 52/49*T^10 - 15/49*T^9 + 43/49*T^8 - 
        12/49*T^7 - 16/49*T^6 + 27/49*T^5 - 6/7*T^4 + 32/49*T^3 + 36/49*T^2 - 12/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 5*X*Y^2 + X*Y + 
        5*X + 4*Y^18 + 5*Y^17 + Y^16 + 6*Y^15 + 3*Y^14 + 5*Y^12 + 6*Y^11 + 5*Y^10 + 
        Y^9 + 4*Y^7 + 2*Y^6 + 2*Y^5 + 6*Y^4 + 3*Y^3 + 3,
    T^32 + T^31 + 48/49*T^30 + 2/7*T^29 - 12/49*T^28 - 6/49*T^27 - 39/49*T^26 - 
        22/49*T^25 - 43/49*T^24 - 3/7*T^23 - 18/49*T^22 - 32/49*T^21 - 3/7*T^20 - 
        6/49*T^19 + 26/49*T^18 + 33/49*T^17 + 38/49*T^16 + 33/49*T^15 + 26/49*T^14 -
        6/49*T^13 - 3/7*T^12 - 32/49*T^11 - 18/49*T^10 - 3/7*T^9 - 43/49*T^8 - 
        22/49*T^7 - 39/49*T^6 - 6/49*T^5 - 12/49*T^4 + 2/7*T^3 + 48/49*T^2 + T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + X*Y^5 + 6*X*Y^3 + 3*X*Y^2 + 4*X*Y 
        + 3*X + 2*Y^18 + 5*Y^17 + 3*Y^16 + 6*Y^15 + Y^13 + 4*Y^12 + 5*Y^11 + 4*Y^9 +
        5*Y^8 + Y^7 + 6*Y^6 + 4*Y^5 + 3*Y^4 + 6*Y^3 + Y^2 + 5*Y + 2,
    T^32 - 2/7*T^31 - 44/49*T^30 + 4/49*T^29 - 17/49*T^28 + 9/49*T^27 + 47/49*T^26 +
        6/49*T^25 - 3/7*T^24 - 20/49*T^23 - 26/49*T^22 + 30/49*T^21 + 33/49*T^20 + 
        3/49*T^19 + 3/7*T^18 - 13/49*T^17 - 58/49*T^16 - 13/49*T^15 + 3/7*T^14 + 
        3/49*T^13 + 33/49*T^12 + 30/49*T^11 - 26/49*T^10 - 20/49*T^9 - 3/7*T^8 + 
        6/49*T^7 + 47/49*T^6 + 9/49*T^5 - 17/49*T^4 + 4/49*T^3 - 44/49*T^2 - 2/7*T +
        1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 6*X*Y^2 + 4*X*Y + 
        6*X + Y^18 + 3*Y^17 + 2*Y^16 + 5*Y^15 + Y^13 + 6*Y^12 + 4*Y^11 + Y^10 + 
        5*Y^9 + 2*Y^8 + 2*Y^7 + 6*Y^5 + 4*Y^3 + 2*Y^2 + 2*Y + 1,
    T^32 - 4/7*T^31 - 19/49*T^30 + 20/49*T^28 + 38/49*T^27 - 66/49*T^26 - 9/49*T^25 
        + 5/49*T^24 + 38/49*T^23 + 3/7*T^22 - 57/49*T^21 - 10/49*T^20 + 22/49*T^19 +
        38/49*T^18 - 4/49*T^17 - 60/49*T^16 - 4/49*T^15 + 38/49*T^14 + 22/49*T^13 - 
        10/49*T^12 - 57/49*T^11 + 3/7*T^10 + 38/49*T^9 + 5/49*T^8 - 9/49*T^7 - 
        66/49*T^6 + 38/49*T^5 + 20/49*T^4 - 19/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^7 + 2*X*Y^6 + X*Y^5 + 6*X*Y^4 + 5*X*Y^3 + X*Y^2 + 3*X*Y + 
        X + 4*Y^18 + 6*Y^17 + 3*Y^16 + Y^15 + 4*Y^14 + 3*Y^13 + 3*Y^12 + 3*Y^11 + 
        4*Y^9 + 6*Y^8 + 2*Y^7 + 6*Y^6 + 3*Y^5 + 2*Y^4 + 4*Y^3 + 6*Y^2 + Y + 6,
    T^32 + 1/7*T^31 - 24/49*T^30 + 22/49*T^29 + 29/49*T^28 - 9/49*T^27 - 39/49*T^26 
        + 11/49*T^25 + 51/49*T^24 - 37/49*T^23 - T^22 + 18/49*T^21 + 16/49*T^20 - 
        13/49*T^19 - 37/49*T^18 - 5/49*T^17 + 3/7*T^16 - 5/49*T^15 - 37/49*T^14 - 
        13/49*T^13 + 16/49*T^12 + 18/49*T^11 - T^10 - 37/49*T^9 + 51/49*T^8 + 
        11/49*T^7 - 39/49*T^6 - 9/49*T^5 + 29/49*T^4 + 22/49*T^3 - 24/49*T^2 + 1/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + 5*X*Y + 
        5*X + 2*Y^18 + Y^17 + 4*Y^16 + 2*Y^15 + Y^14 + Y^13 + Y^12 + 6*Y^11 + 5*Y^10
        + 2*Y^9 + 3*Y^8 + 6*Y^7 + 2*Y^6 + 6*Y^5 + 6*Y^4 + 6*Y^3 + 5*Y^2 + 2,
    -T^32 + 9/7*T^31 - 20/49*T^30 + 17/49*T^29 + 30/49*T^28 - 12/7*T^27 + 46/49*T^26
        - 24/49*T^25 + 2/49*T^24 + 74/49*T^23 - 44/49*T^22 - 27/49*T^21 + 24/49*T^20
        - 83/49*T^19 + 111/49*T^18 - 46/49*T^17 + 46/49*T^15 - 111/49*T^14 + 
        83/49*T^13 - 24/49*T^12 + 27/49*T^11 + 44/49*T^10 - 74/49*T^9 - 2/49*T^8 + 
        24/49*T^7 - 46/49*T^6 + 12/7*T^5 - 30/49*T^4 - 17/49*T^3 + 20/49*T^2 - 9/7*T
        + 1
*], [*
    X^3 + 2*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + X*Y^4 + X*Y^3 + 5*X*Y + 4*X + 3*Y^18 + 
        2*Y^15 + 2*Y^14 + 2*Y^13 + 2*Y^12 + 4*Y^11 + 3*Y^9 + 6*Y^7 + 6*Y^6 + 4*Y^5 +
        6*Y^4 + 2*Y^3 + 5*Y^2,
    T^32 - 3/7*T^31 - 27/49*T^30 - 12/49*T^29 + 23/49*T^28 + 5/49*T^27 + 20/49*T^26 
        + 29/49*T^25 - 34/49*T^24 - 33/49*T^23 - 10/49*T^22 + 23/49*T^21 + 
        15/49*T^19 - 1/49*T^18 - 1/7*T^17 - 38/49*T^16 - 1/7*T^15 - 1/49*T^14 + 
        15/49*T^13 + 23/49*T^11 - 10/49*T^10 - 33/49*T^9 - 34/49*T^8 + 29/49*T^7 + 
        20/49*T^6 + 5/49*T^5 + 23/49*T^4 - 12/49*T^3 - 27/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + X*Y^4 + 3*X*Y^2 + 5*X*Y + 5*X + 
        Y^18 + 3*Y^17 + 3*Y^14 + 4*Y^12 + 4*Y^11 + 5*Y^10 + 4*Y^9 + 3*Y^6 + 6*Y^5 + 
        3*Y^4 + Y^3 + 5*Y + 5,
    T^32 - T^31 + 38/49*T^30 - 29/49*T^29 - 6/49*T^28 - 4/49*T^27 - 1/49*T^26 + 
        5/49*T^25 - 1/7*T^24 + 17/49*T^23 - 2/7*T^22 + 1/7*T^21 - 8/49*T^20 + 
        2/7*T^19 - 3/49*T^18 - 6/49*T^17 + 10/49*T^16 - 6/49*T^15 - 3/49*T^14 + 
        2/7*T^13 - 8/49*T^12 + 1/7*T^11 - 2/7*T^10 + 17/49*T^9 - 1/7*T^8 + 5/49*T^7 
        - 1/49*T^6 - 4/49*T^5 - 6/49*T^4 - 29/49*T^3 + 38/49*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + X*Y + 
        X + 6*Y^18 + 2*Y^16 + 5*Y^14 + 4*Y^13 + 5*Y^12 + 4*Y^11 + Y^10 + 4*Y^9 + 
        5*Y^8 + 3*Y^7 + Y^5 + 4*Y^4 + 3*Y^3 + 6*Y^2 + 4*Y + 6,
    T^32 - 1/7*T^31 - 29/49*T^30 - 10/49*T^29 - 1/49*T^28 - 1/49*T^27 - 4/49*T^26 + 
        4/7*T^25 + 2/7*T^24 - 32/49*T^23 - 16/49*T^22 + 6/49*T^21 + 3/49*T^20 + 
        16/49*T^19 + 9/49*T^18 - 2/7*T^16 + 9/49*T^14 + 16/49*T^13 + 3/49*T^12 + 
        6/49*T^11 - 16/49*T^10 - 32/49*T^9 + 2/7*T^8 + 4/7*T^7 - 4/49*T^6 - 1/49*T^5
        - 1/49*T^4 - 10/49*T^3 - 29/49*T^2 - 1/7*T + 1
*], [*
    X^3 + X*Y^8 + X*Y^7 + X*Y^6 + 4*X*Y^2 + 5*X*Y + X + 4*Y^18 + 5*Y^16 + 2*Y^15 + 
        3*Y^14 + Y^13 + 3*Y^12 + 6*Y^10 + 6*Y^9 + 3*Y^8 + Y^7 + 6*Y^6 + 3*Y^4 + 
        5*Y^3 + 6*Y^2 + 4*Y + 1,
    T^32 + 15/7*T^31 + 99/49*T^30 + 66/49*T^29 + 45/49*T^28 - 6/7*T^27 - 172/49*T^26
        - 234/49*T^25 - 201/49*T^24 - 150/49*T^23 - 106/49*T^22 - 5/49*T^21 + 
        110/49*T^20 + 134/49*T^19 + 106/49*T^18 + 18/7*T^17 + 149/49*T^16 + 
        18/7*T^15 + 106/49*T^14 + 134/49*T^13 + 110/49*T^12 - 5/49*T^11 - 
        106/49*T^10 - 150/49*T^9 - 201/49*T^8 - 234/49*T^7 - 172/49*T^6 - 6/7*T^5 + 
        45/49*T^4 + 66/49*T^3 + 99/49*T^2 + 15/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 2*X 
        + 3*Y^18 + 3*Y^17 + 6*Y^16 + Y^14 + 2*Y^13 + Y^12 + 3*Y^11 + 5*Y^10 + Y^8 + 
        Y^7 + 2*Y^6 + 5*Y^5 + 4*Y^3 + 2*Y^2 + 1,
    -T^32 + 2/7*T^31 - 26/49*T^30 - 15/49*T^29 + 13/49*T^28 + 10/49*T^27 - 
        18/49*T^26 + 41/49*T^25 + 2/49*T^24 + 22/49*T^23 + 16/49*T^22 + 23/49*T^21 +
        12/49*T^20 + 3/7*T^19 + 16/49*T^18 + 17/49*T^17 - 17/49*T^15 - 16/49*T^14 - 
        3/7*T^13 - 12/49*T^12 - 23/49*T^11 - 16/49*T^10 - 22/49*T^9 - 2/49*T^8 - 
        41/49*T^7 + 18/49*T^6 - 10/49*T^5 - 13/49*T^4 + 15/49*T^3 + 26/49*T^2 - 
        2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 5*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 3*X*Y^2 + 
        2*X*Y + 3*X + 4*Y^18 + 4*Y^17 + 3*Y^16 + 3*Y^15 + 3*Y^13 + 2*Y^12 + 6*Y^11 +
        4*Y^10 + 4*Y^8 + 2*Y^7 + 5*Y^6 + 4*Y^5 + 2*Y^4 + 3*Y^3 + Y^2 + 5*Y + 2,
    T^32 - T^31 - 53/49*T^30 + 100/49*T^29 - 76/49*T^28 - 32/49*T^27 + 132/49*T^26 -
        11/7*T^25 - 2/49*T^24 + 39/49*T^23 - 99/49*T^22 + 12/7*T^21 + 32/49*T^20 - 
        116/49*T^19 + 15/7*T^18 + T^17 - 171/49*T^16 + T^15 + 15/7*T^14 - 
        116/49*T^13 + 32/49*T^12 + 12/7*T^11 - 99/49*T^10 + 39/49*T^9 - 2/49*T^8 - 
        11/7*T^7 + 132/49*T^6 - 32/49*T^5 - 76/49*T^4 + 100/49*T^3 - 53/49*T^2 - T +
        1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 3*X + 
        4*Y^18 + Y^17 + Y^16 + 3*Y^15 + 2*Y^14 + 6*Y^13 + Y^12 + Y^11 + 2*Y^10 + 
        4*Y^9 + 6*Y^8 + 5*Y^7 + 2*Y^6 + 5*Y^5 + Y^4 + Y^3 + 6*Y^2 + 5*Y + 5,
    T^32 + 12/7*T^31 + 16/7*T^30 + 81/49*T^29 + 18/49*T^28 - 4/49*T^27 - 12/49*T^26 
        + 24/49*T^25 + 23/49*T^24 + 6/49*T^23 + 11/49*T^21 + 58/49*T^20 + 85/49*T^19
        + 64/49*T^18 + 19/49*T^17 - 11/49*T^16 + 19/49*T^15 + 64/49*T^14 + 
        85/49*T^13 + 58/49*T^12 + 11/49*T^11 + 6/49*T^9 + 23/49*T^8 + 24/49*T^7 - 
        12/49*T^6 - 4/49*T^5 + 18/49*T^4 + 81/49*T^3 + 16/7*T^2 + 12/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + X*Y^6 + X*Y^5 + X*Y^2 + 3*X*Y + 3*X + 6*Y^18
        + 5*Y^16 + Y^15 + 5*Y^14 + 4*Y^13 + 2*Y^12 + Y^11 + 4*Y^10 + 2*Y^9 + 5*Y^7 +
        Y^6 + 3*Y^5 + 4*Y^4 + 4*Y^2 + 3*Y + 3,
    T^32 - 2/7*T^31 - 20/49*T^30 + 23/49*T^29 - 3/7*T^28 - 16/49*T^27 + 3/7*T^26 - 
        10/49*T^25 - 3/49*T^24 + 13/49*T^23 - 2/49*T^22 - 4/49*T^21 + 24/49*T^20 + 
        4/49*T^19 - 1/7*T^18 + 4/49*T^17 - 18/49*T^16 + 4/49*T^15 - 1/7*T^14 + 
        4/49*T^13 + 24/49*T^12 - 4/49*T^11 - 2/49*T^10 + 13/49*T^9 - 3/49*T^8 - 
        10/49*T^7 + 3/7*T^6 - 16/49*T^5 - 3/7*T^4 + 23/49*T^3 - 20/49*T^2 - 2/7*T + 
        1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 5*X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + 
        4*X*Y + 3*X + 4*Y^18 + 4*Y^17 + 4*Y^16 + 5*Y^15 + 6*Y^14 + Y^13 + 2*Y^12 + 
        4*Y^9 + 5*Y^8 + 2*Y^7 + 4*Y^6 + 2*Y^4 + Y^3 + 4*Y^2 + 5*Y + 5,
    -T^32 - 10/7*T^31 - 16/49*T^30 + 4/49*T^29 + 2/49*T^28 - 18/49*T^27 - 40/49*T^26
        - 25/49*T^25 - 1/49*T^24 - 12/49*T^22 + 4/49*T^21 + 13/49*T^20 - 8/49*T^19 -
        2/7*T^18 - 15/49*T^17 + 15/49*T^15 + 2/7*T^14 + 8/49*T^13 - 13/49*T^12 - 
        4/49*T^11 + 12/49*T^10 + 1/49*T^8 + 25/49*T^7 + 40/49*T^6 + 18/49*T^5 - 
        2/49*T^4 - 4/49*T^3 + 16/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 5*X*Y^5 + 6*X*Y^4 + X*Y^2 + 3*X*Y + 4*X + 
        Y^18 + 2*Y^16 + Y^15 + 6*Y^14 + 4*Y^13 + 3*Y^11 + 5*Y^10 + 6*Y^8 + 2*Y^7 + 
        2*Y^6 + 4*Y^5 + 2*Y^3 + 4*Y^2 + 6*Y + 6,
    -T^32 + 13/7*T^31 - 94/49*T^30 + 65/49*T^29 - 50/49*T^28 + 37/49*T^27 - 3/7*T^26
        + 27/49*T^25 - 18/49*T^24 + 15/49*T^23 - 17/49*T^22 + 22/49*T^21 - 9/49*T^20
        - 17/49*T^19 + 38/49*T^18 - 6/7*T^17 + 6/7*T^15 - 38/49*T^14 + 17/49*T^13 + 
        9/49*T^12 - 22/49*T^11 + 17/49*T^10 - 15/49*T^9 + 18/49*T^8 - 27/49*T^7 + 
        3/7*T^6 - 37/49*T^5 + 50/49*T^4 - 65/49*T^3 + 94/49*T^2 - 13/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 3*X*Y 
        + 2*Y^18 + 4*Y^17 + Y^16 + 4*Y^15 + 2*Y^14 + 5*Y^13 + Y^12 + Y^11 + Y^9 + 
        2*Y^8 + Y^7 + 4*Y^5 + 6*Y^4 + 3*Y^3 + 6*Y^2 + Y + 5,
    T^32 + 4/7*T^31 - 75/49*T^30 - 59/49*T^29 + 39/49*T^28 + 53/49*T^27 - 12/49*T^26
        - 64/49*T^25 - 23/49*T^24 + 48/49*T^23 + 55/49*T^22 + 4/7*T^21 - 31/49*T^20 
        - 38/49*T^19 + 24/49*T^18 + 3/49*T^17 - 50/49*T^16 + 3/49*T^15 + 24/49*T^14 
        - 38/49*T^13 - 31/49*T^12 + 4/7*T^11 + 55/49*T^10 + 48/49*T^9 - 23/49*T^8 - 
        64/49*T^7 - 12/49*T^6 + 53/49*T^5 + 39/49*T^4 - 59/49*T^3 - 75/49*T^2 + 
        4/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + 4*X*Y^4 + X*Y^3 + 5*X*Y + 5*Y^18 + 
        5*Y^17 + 6*Y^15 + Y^14 + 6*Y^13 + 5*Y^12 + 4*Y^11 + 3*Y^10 + 2*Y^9 + 5*Y^8 +
        3*Y^7 + 5*Y^6 + Y^5 + 6*Y^2 + 4*Y + 6,
    -T^32 - 5/7*T^31 - 38/49*T^30 - 36/49*T^29 - 30/49*T^28 - 20/49*T^27 + 
        15/49*T^26 + 2/7*T^25 + 27/49*T^24 + 26/49*T^23 + 26/49*T^22 + 4/49*T^21 + 
        9/49*T^20 + 3/49*T^19 + 2/49*T^18 - 5/49*T^17 + 5/49*T^15 - 2/49*T^14 - 
        3/49*T^13 - 9/49*T^12 - 4/49*T^11 - 26/49*T^10 - 26/49*T^9 - 27/49*T^8 - 
        2/7*T^7 - 15/49*T^6 + 20/49*T^5 + 30/49*T^4 + 36/49*T^3 + 38/49*T^2 + 5/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 
        3*X*Y^2 + 5*X*Y + 3*X + 6*Y^18 + Y^17 + 4*Y^15 + 3*Y^14 + 5*Y^13 + 4*Y^12 + 
        2*Y^11 + 3*Y^10 + 2*Y^8 + Y^5 + Y^4 + 2*Y^3 + Y^2 + 4*Y + 2,
    -T^32 - 9/7*T^31 - 4/49*T^30 + 36/49*T^29 - 10/49*T^28 + 15/49*T^27 + 74/49*T^26
        + 32/49*T^25 - 4/7*T^24 + 17/49*T^23 + 34/49*T^22 - 41/49*T^21 - 55/49*T^20 
        - 16/49*T^18 - 57/49*T^17 + 57/49*T^15 + 16/49*T^14 + 55/49*T^12 + 
        41/49*T^11 - 34/49*T^10 - 17/49*T^9 + 4/7*T^8 - 32/49*T^7 - 74/49*T^6 - 
        15/49*T^5 + 10/49*T^4 - 36/49*T^3 + 4/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + X*Y^2 
        + 5*X*Y + X + 3*Y^18 + 5*Y^17 + 4*Y^16 + 3*Y^15 + Y^14 + 4*Y^13 + 6*Y^10 + 
        Y^9 + 2*Y^8 + Y^7 + 2*Y^6 + 6*Y^5 + 6*Y^4 + 3*Y^2 + 2*Y + 4,
    T^32 - 6/7*T^31 + 50/49*T^30 - 1/7*T^29 - 32/49*T^28 + 6/7*T^27 - 9/7*T^26 + 
        24/49*T^25 - 2/7*T^24 + 1/7*T^23 - 24/49*T^22 + 31/49*T^21 - 26/49*T^20 + 
        6/49*T^19 + 27/49*T^18 - 64/49*T^17 + 76/49*T^16 - 64/49*T^15 + 27/49*T^14 +
        6/49*T^13 - 26/49*T^12 + 31/49*T^11 - 24/49*T^10 + 1/7*T^9 - 2/7*T^8 + 
        24/49*T^7 - 9/7*T^6 + 6/7*T^5 - 32/49*T^4 - 1/7*T^3 + 50/49*T^2 - 6/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 5*X*Y^3 + X*Y^2 + 5*X*Y + 
        3*X + Y^18 + 4*Y^17 + 4*Y^16 + 3*Y^15 + 4*Y^14 + 3*Y^13 + 5*Y^12 + 3*Y^11 + 
        Y^10 + Y^9 + 4*Y^8 + 6*Y^7 + 3*Y^6 + 5*Y^5 + 6*Y^4 + 2*Y,
    T^32 + 4/7*T^31 + 2/7*T^30 - 31/49*T^29 - 20/49*T^28 - 17/49*T^27 - 11/49*T^26 -
        26/49*T^25 - 12/49*T^24 + 12/49*T^23 + 13/49*T^22 + 8/49*T^21 - 2/49*T^20 + 
        26/49*T^19 + 9/49*T^18 - 64/49*T^16 + 9/49*T^14 + 26/49*T^13 - 2/49*T^12 + 
        8/49*T^11 + 13/49*T^10 + 12/49*T^9 - 12/49*T^8 - 26/49*T^7 - 11/49*T^6 - 
        17/49*T^5 - 20/49*T^4 - 31/49*T^3 + 2/7*T^2 + 4/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 5*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + X*Y^3 + 5*X*Y^2 + 4*X*Y + 
        4*X + 5*Y^18 + 6*Y^17 + 4*Y^14 + Y^12 + 3*Y^11 + 5*Y^10 + 3*Y^9 + 2*Y^8 + 
        5*Y^7 + 3*Y^6 + 3*Y^5 + 2*Y^4 + Y^3 + 5*Y + 3,
    -T^32 - 2/7*T^31 + 43/49*T^30 - 18/49*T^29 - 17/49*T^28 + 18/49*T^27 + 
        11/49*T^26 - 22/49*T^25 - 5/49*T^24 + 27/49*T^23 + 22/49*T^22 + 19/49*T^21 +
        10/49*T^20 + 8/49*T^19 - 17/49*T^18 - 11/49*T^17 + 11/49*T^15 + 17/49*T^14 -
        8/49*T^13 - 10/49*T^12 - 19/49*T^11 - 22/49*T^10 - 27/49*T^9 + 5/49*T^8 + 
        22/49*T^7 - 11/49*T^6 - 18/49*T^5 + 17/49*T^4 + 18/49*T^3 - 43/49*T^2 + 
        2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + X*Y^4 + 6*X*Y^3 + X*Y^2 
        + 4*X*Y + 2*Y^18 + 2*Y^17 + 2*Y^16 + 4*Y^14 + 4*Y^13 + 2*Y^12 + 3*Y^10 + Y^9
        + 6*Y^8 + 3*Y^7 + 3*Y^6 + 5*Y^5 + 3*Y^2 + 1,
    T^32 + 6/7*T^31 + 8/7*T^30 + 36/49*T^29 + 45/49*T^28 + 47/49*T^27 + 44/49*T^26 +
        39/49*T^25 + 6/7*T^24 + 39/49*T^23 + 8/7*T^22 + 38/49*T^21 + 45/49*T^20 + 
        27/49*T^19 + 37/49*T^18 + 44/49*T^17 + 72/49*T^16 + 44/49*T^15 + 37/49*T^14 
        + 27/49*T^13 + 45/49*T^12 + 38/49*T^11 + 8/7*T^10 + 39/49*T^9 + 6/7*T^8 + 
        39/49*T^7 + 44/49*T^6 + 47/49*T^5 + 45/49*T^4 + 36/49*T^3 + 8/7*T^2 + 6/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + X*Y^4 + X*Y^3 + 3*X*Y^2 + X*Y + X + 
        4*Y^18 + 5*Y^17 + 6*Y^16 + Y^15 + 4*Y^13 + 2*Y^12 + 5*Y^11 + 4*Y^10 + 5*Y^9 
        + 4*Y^7 + 6*Y^6 + 3*Y^5 + 5*Y^4 + 5*Y^3 + Y^2 + Y + 1,
    T^32 + 11/7*T^31 + 4/7*T^30 + 5/49*T^29 - 1/49*T^28 - 22/49*T^27 - 22/49*T^26 - 
        5/49*T^25 + 26/49*T^24 + 41/49*T^23 + 48/49*T^22 + 45/49*T^21 - 2/49*T^20 - 
        23/49*T^19 - 11/49*T^18 - 18/49*T^17 - 30/49*T^16 - 18/49*T^15 - 11/49*T^14 
        - 23/49*T^13 - 2/49*T^12 + 45/49*T^11 + 48/49*T^10 + 41/49*T^9 + 26/49*T^8 -
        5/49*T^7 - 22/49*T^6 - 22/49*T^5 - 1/49*T^4 + 5/49*T^3 + 4/7*T^2 + 11/7*T + 
        1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 3*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 4*X*Y^2 + X*Y 
        + 5*X + 5*Y^18 + 2*Y^16 + 6*Y^14 + 6*Y^13 + 5*Y^12 + 4*Y^11 + 2*Y^9 + 5*Y^8 
        + 2*Y^6 + Y^5 + 5*Y^4 + Y^3 + 4*Y^2 + 6,
    -T^32 + T^31 + 6/49*T^30 - 9/7*T^29 + 67/49*T^28 - 17/49*T^27 - 23/49*T^26 - 
        8/49*T^25 + 51/49*T^24 - 52/49*T^23 + 1/7*T^22 + 72/49*T^21 - 125/49*T^20 + 
        11/7*T^19 + 6/49*T^18 - 38/49*T^17 + 38/49*T^15 - 6/49*T^14 - 11/7*T^13 + 
        125/49*T^12 - 72/49*T^11 - 1/7*T^10 + 52/49*T^9 - 51/49*T^8 + 8/49*T^7 + 
        23/49*T^6 + 17/49*T^5 - 67/49*T^4 + 9/7*T^3 - 6/49*T^2 - T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + X*Y^6 + 4*X*Y^5 + X*Y^4 + X*Y^3 + 6*X*Y^2 + 
        3*X*Y + 4*Y^18 + 5*Y^17 + 6*Y^16 + 3*Y^15 + Y^14 + 6*Y^12 + 2*Y^11 + 4*Y^10 
        + 2*Y^9 + 2*Y^8 + 5*Y^7 + Y^4 + Y^3 + 5*Y^2 + 6*Y + 5,
    T^32 + 17/7*T^31 + 26/7*T^30 + 201/49*T^29 + 143/49*T^28 + 12/7*T^27 + 
        30/49*T^26 - 25/49*T^25 - 58/49*T^24 - 127/49*T^23 - 159/49*T^22 - 18/7*T^21
        - 62/49*T^20 + 43/49*T^19 + 75/49*T^18 + 52/49*T^17 + 58/49*T^16 + 
        52/49*T^15 + 75/49*T^14 + 43/49*T^13 - 62/49*T^12 - 18/7*T^11 - 159/49*T^10 
        - 127/49*T^9 - 58/49*T^8 - 25/49*T^7 + 30/49*T^6 + 12/7*T^5 + 143/49*T^4 + 
        201/49*T^3 + 26/7*T^2 + 17/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^7 + 3*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 5*X*Y + 6*X + 
        6*Y^18 + 4*Y^17 + 2*Y^16 + Y^15 + 6*Y^14 + Y^13 + 5*Y^11 + 4*Y^10 + 3*Y^9 + 
        4*Y^7 + 2*Y^6 + 3*Y^5 + 4*Y^4 + 6*Y^3 + 5*Y + 2,
    -T^32 - 8/7*T^31 - 22/49*T^30 - 37/49*T^29 - 6/49*T^28 + 8/49*T^27 - 39/49*T^26 
        - 20/49*T^25 - 4/7*T^24 - 31/49*T^23 + 12/49*T^22 - 25/49*T^21 - 1/49*T^20 +
        8/49*T^19 - 24/49*T^18 + 39/49*T^17 - 39/49*T^15 + 24/49*T^14 - 8/49*T^13 + 
        1/49*T^12 + 25/49*T^11 - 12/49*T^10 + 31/49*T^9 + 4/7*T^8 + 20/49*T^7 + 
        39/49*T^6 - 8/49*T^5 + 6/49*T^4 + 37/49*T^3 + 22/49*T^2 + 8/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        X*Y^2 + 4*X*Y + 4*X + 4*Y^18 + 4*Y^17 + 4*Y^15 + Y^14 + 2*Y^13 + 2*Y^12 + 
        4*Y^11 + 6*Y^10 + 3*Y^8 + 2*Y^7 + 4*Y^6 + 6*Y^5 + Y^4 + 2*Y^3 + 6*Y^2 + 5*Y 
        + 4,
    T^32 + 3/7*T^31 - 15/49*T^30 + 2/7*T^29 - 17/49*T^28 - 43/49*T^27 - 23/49*T^26 -
        2/7*T^25 + 16/49*T^24 + 34/49*T^23 - 3/49*T^22 + 24/49*T^21 + T^20 - 
        11/49*T^19 - 4/7*T^18 - 16/49*T^17 - 38/49*T^16 - 16/49*T^15 - 4/7*T^14 - 
        11/49*T^13 + T^12 + 24/49*T^11 - 3/49*T^10 + 34/49*T^9 + 16/49*T^8 - 2/7*T^7
        - 23/49*T^6 - 43/49*T^5 - 17/49*T^4 + 2/7*T^3 - 15/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 2*X*Y 
        + 5*X + 4*Y^18 + 4*Y^17 + 2*Y^16 + 6*Y^14 + 5*Y^13 + 3*Y^11 + 6*Y^10 + 3*Y^9
        + 3*Y^8 + 6*Y^7 + 5*Y^6 + 6*Y^5 + 5*Y^4 + 5*Y^2 + 6*Y + 1,
    -T^32 + 1/7*T^31 + 25/49*T^30 - 31/49*T^29 - 12/49*T^28 + 31/49*T^27 - 6/7*T^26 
        + 15/49*T^25 + 17/49*T^24 - 13/49*T^23 - 8/49*T^22 + 13/49*T^21 - 4/49*T^20 
        - 8/49*T^19 - 3/7*T^18 + 24/49*T^17 - 24/49*T^15 + 3/7*T^14 + 8/49*T^13 + 
        4/49*T^12 - 13/49*T^11 + 8/49*T^10 + 13/49*T^9 - 17/49*T^8 - 15/49*T^7 + 
        6/7*T^6 - 31/49*T^5 + 12/49*T^4 + 31/49*T^3 - 25/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 
        4*X*Y^2 + X*Y + 3*X + 5*Y^18 + 4*Y^17 + 3*Y^16 + 5*Y^15 + 3*Y^14 + 4*Y^13 + 
        Y^12 + 6*Y^11 + 3*Y^10 + 4*Y^8 + 3*Y^7 + 4*Y^6 + 5*Y^4 + 2*Y^3 + 2*Y + 6,
    T^32 + 6/7*T^31 + 8/49*T^30 - 31/49*T^29 - 23/49*T^28 + 10/49*T^27 + 32/49*T^26 
        - 2/49*T^25 - 54/49*T^24 - 6/7*T^23 - 3/7*T^22 + 20/49*T^21 + 1/7*T^20 - 
        27/49*T^19 - 23/49*T^18 + 27/49*T^17 + 60/49*T^16 + 27/49*T^15 - 23/49*T^14 
        - 27/49*T^13 + 1/7*T^12 + 20/49*T^11 - 3/7*T^10 - 6/7*T^9 - 54/49*T^8 - 
        2/49*T^7 + 32/49*T^6 + 10/49*T^5 - 23/49*T^4 - 31/49*T^3 + 8/49*T^2 + 6/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 5*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + 3*X*Y^2 + 3*X*Y + Y^18 +
        4*Y^17 + 2*Y^16 + 6*Y^15 + 3*Y^14 + 2*Y^12 + 5*Y^10 + 2*Y^9 + Y^8 + 6*Y^7 + 
        4*Y^3 + 6*Y^2 + 4,
    -T^32 + 6/7*T^31 + 2/7*T^30 - 50/49*T^29 + 23/49*T^28 - 15/49*T^27 + 3/7*T^26 - 
        1/7*T^25 - 20/49*T^24 + 11/49*T^23 + 16/49*T^22 - 26/49*T^21 - 3/7*T^20 + 
        31/49*T^19 - 15/49*T^18 - 6/49*T^17 + 6/49*T^15 + 15/49*T^14 - 31/49*T^13 + 
        3/7*T^12 + 26/49*T^11 - 16/49*T^10 - 11/49*T^9 + 20/49*T^8 + 1/7*T^7 - 
        3/7*T^6 + 15/49*T^5 - 23/49*T^4 + 50/49*T^3 - 2/7*T^2 - 6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + 4*X*Y + 4*X + 3*Y^18 + 6*Y^17 + 5*Y^16 + Y^15 + 3*Y^13 + Y^12 + 
        4*Y^11 + 4*Y^9 + Y^8 + Y^7 + 2*Y^6 + 5*Y^5 + 3*Y^3 + 6*Y^2 + 2*Y,
    T^32 + 5/7*T^31 - 19/49*T^30 - 8/49*T^29 + 19/49*T^28 + 3/7*T^27 - 5/49*T^26 - 
        23/49*T^25 - 6/49*T^24 + 27/49*T^23 + 20/49*T^22 - 37/49*T^21 - 43/49*T^20 +
        1/7*T^19 + 8/49*T^18 - 19/49*T^17 - 36/49*T^16 - 19/49*T^15 + 8/49*T^14 + 
        1/7*T^13 - 43/49*T^12 - 37/49*T^11 + 20/49*T^10 + 27/49*T^9 - 6/49*T^8 - 
        23/49*T^7 - 5/49*T^6 + 3/7*T^5 + 19/49*T^4 - 8/49*T^3 - 19/49*T^2 + 5/7*T + 
        1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 3*X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + X*Y^2 + 3*X*Y 
        + X + 4*Y^18 + 5*Y^17 + 5*Y^15 + 2*Y^14 + Y^13 + Y^12 + 2*Y^11 + 4*Y^9 + Y^8
        + Y^7 + Y^5 + 3*Y^4 + 2*Y^3 + 5*Y^2 + 3*Y + 6,
    -T^32 + 3/7*T^31 + 37/49*T^30 - 54/49*T^29 + 8/49*T^28 + 43/49*T^27 - 85/49*T^26
        + 6/49*T^25 + 87/49*T^24 - 94/49*T^23 + 1/7*T^22 + 2*T^21 - 116/49*T^20 - 
        11/49*T^19 + 109/49*T^18 - 90/49*T^17 + 90/49*T^15 - 109/49*T^14 + 
        11/49*T^13 + 116/49*T^12 - 2*T^11 - 1/7*T^10 + 94/49*T^9 - 87/49*T^8 - 
        6/49*T^7 + 85/49*T^6 - 43/49*T^5 - 8/49*T^4 + 54/49*T^3 - 37/49*T^2 - 3/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + X*Y^3 + X*Y^2 + 5*X*Y + Y^18 + 
        5*Y^17 + 5*Y^16 + 6*Y^15 + 3*Y^14 + 5*Y^13 + 2*Y^12 + 4*Y^11 + 3*Y^10 + 
        5*Y^8 + 5*Y^7 + 2*Y^6 + Y^5 + 4*Y^3 + 4,
    -T^32 + 5/7*T^31 + 37/49*T^30 - 1/49*T^29 - 12/49*T^28 - 25/49*T^27 + 12/49*T^26
        + 3/49*T^25 + 12/49*T^24 + 5/49*T^23 - 3/7*T^22 + 12/49*T^21 - 13/49*T^20 + 
        2/49*T^19 + 2/49*T^18 + 3/49*T^17 - 3/49*T^15 - 2/49*T^14 - 2/49*T^13 + 
        13/49*T^12 - 12/49*T^11 + 3/7*T^10 - 5/49*T^9 - 12/49*T^8 - 3/49*T^7 - 
        12/49*T^6 + 25/49*T^5 + 12/49*T^4 + 1/49*T^3 - 37/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + X*Y^2 + 
        3*X + 2*Y^18 + 4*Y^17 + 3*Y^16 + 2*Y^15 + Y^14 + 4*Y^13 + 2*Y^12 + 4*Y^11 + 
        4*Y^10 + 6*Y^9 + 3*Y^8 + 6*Y^6 + 2*Y^5 + 2*Y^4 + 3*Y^3 + 6,
    -T^32 - 4/7*T^31 - 1/49*T^30 - 22/49*T^29 + 4/49*T^28 + 26/49*T^27 - 10/49*T^26 
        - 12/49*T^25 + 16/49*T^24 - 41/49*T^23 - 13/49*T^22 + 25/49*T^21 - 
        15/49*T^20 + 12/49*T^19 + 41/49*T^18 - 6/49*T^17 + 6/49*T^15 - 41/49*T^14 - 
        12/49*T^13 + 15/49*T^12 - 25/49*T^11 + 13/49*T^10 + 41/49*T^9 - 16/49*T^8 + 
        12/49*T^7 + 10/49*T^6 - 26/49*T^5 - 4/49*T^4 + 22/49*T^3 + 1/49*T^2 + 4/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 
        4*X*Y^2 + X*Y + 5*X + 3*Y^18 + 3*Y^17 + 6*Y^15 + 6*Y^14 + 4*Y^13 + Y^12 + 
        4*Y^11 + Y^10 + 2*Y^9 + 3*Y^8 + 6*Y^7 + Y^6 + Y^5 + 5*Y^4 + 3*Y^3 + Y^2 + 
        5*Y + 5,
    T^32 - 6/7*T^31 - 20/49*T^30 + 68/49*T^29 - 26/49*T^28 - 50/49*T^27 + 38/49*T^26
        + 4/49*T^25 - 8/7*T^24 + 57/49*T^23 - 6/49*T^22 - 40/49*T^21 + 37/49*T^20 + 
        19/49*T^19 - 34/49*T^18 - 16/49*T^17 + 40/49*T^16 - 16/49*T^15 - 34/49*T^14 
        + 19/49*T^13 + 37/49*T^12 - 40/49*T^11 - 6/49*T^10 + 57/49*T^9 - 8/7*T^8 + 
        4/49*T^7 + 38/49*T^6 - 50/49*T^5 - 26/49*T^4 + 68/49*T^3 - 20/49*T^2 - 6/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + X*Y^3 + X*Y^2 + 6*X + Y^18
        + 3*Y^16 + 2*Y^15 + Y^14 + 3*Y^13 + 3*Y^12 + 4*Y^9 + 3*Y^8 + 2*Y^6 + 6*Y^5 +
        6*Y^4 + 6*Y^3 + 2*Y + 4,
    -T^32 + 1/7*T^31 - 18/49*T^30 - 6/49*T^29 - 11/49*T^28 + 2/49*T^27 - 18/49*T^26 
        - 2/7*T^25 - 11/49*T^24 - 25/49*T^23 - 1/49*T^22 - 9/49*T^21 + 3/49*T^20 - 
        17/49*T^19 + 15/49*T^18 + 6/49*T^17 - 6/49*T^15 - 15/49*T^14 + 17/49*T^13 - 
        3/49*T^12 + 9/49*T^11 + 1/49*T^10 + 25/49*T^9 + 11/49*T^8 + 2/7*T^7 + 
        18/49*T^6 - 2/49*T^5 + 11/49*T^4 + 6/49*T^3 + 18/49*T^2 - 1/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 6*X*Y^3 + 4*X*Y^2 + X*Y + 4*Y^18 + 
        5*Y^17 + 5*Y^16 + 3*Y^15 + Y^14 + Y^13 + 6*Y^12 + Y^11 + 3*Y^10 + 4*Y^9 + 
        3*Y^8 + Y^7 + 4*Y^6 + 3*Y^5 + 5*Y^3 + Y^2 + Y + 1,
    T^32 - 9/7*T^31 + 5/7*T^30 + 38/49*T^29 - 10/7*T^28 + 90/49*T^27 - 47/49*T^26 - 
        13/49*T^25 + 99/49*T^24 - 2*T^23 + 29/49*T^22 + 95/49*T^21 - 132/49*T^20 + 
        95/49*T^19 + 13/49*T^18 - 111/49*T^17 + 178/49*T^16 - 111/49*T^15 + 
        13/49*T^14 + 95/49*T^13 - 132/49*T^12 + 95/49*T^11 + 29/49*T^10 - 2*T^9 + 
        99/49*T^8 - 13/49*T^7 - 47/49*T^6 + 90/49*T^5 - 10/7*T^4 + 38/49*T^3 + 
        5/7*T^2 - 9/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + X*Y^4 + X*Y^3 + 4*X*Y^2 + 
        3*X + 2*Y^18 + 3*Y^17 + 5*Y^16 + 3*Y^14 + 2*Y^13 + 5*Y^12 + 3*Y^11 + 2*Y^10 
        + 6*Y^8 + 5*Y^7 + 5*Y^6 + 4*Y^5 + Y^4 + Y^3 + 4*Y^2 + Y + 5,
    -T^32 - 5/7*T^31 + 85/49*T^30 + 37/49*T^29 - 82/49*T^28 + 19/49*T^27 + 
        89/49*T^26 - 26/49*T^25 - 62/49*T^24 + 12/49*T^23 + 20/49*T^22 + 18/49*T^21 
        + 10/49*T^20 - 74/49*T^19 - 3/7*T^18 + 16/7*T^17 - 16/7*T^15 + 3/7*T^14 + 
        74/49*T^13 - 10/49*T^12 - 18/49*T^11 - 20/49*T^10 - 12/49*T^9 + 62/49*T^8 + 
        26/49*T^7 - 89/49*T^6 - 19/49*T^5 + 82/49*T^4 - 37/49*T^3 - 85/49*T^2 + 
        5/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + X*Y^6 + 5*X*Y^4 + 4*X*Y^3 + 2*X*Y^2 + 5*X*Y + 6*X + 
        6*Y^18 + 6*Y^17 + 6*Y^16 + Y^15 + Y^14 + 2*Y^13 + 2*Y^12 + 2*Y^11 + 5*Y^10 +
        6*Y^9 + 5*Y^8 + Y^7 + Y^6 + 4*Y^5 + 2*Y^4 + 5*Y^2 + 4*Y,
    T^32 + 5/7*T^31 - 19/49*T^30 - 48/49*T^29 - 32/49*T^28 - 24/49*T^27 - 16/49*T^26
        + 2/49*T^25 + 19/49*T^24 + 12/49*T^23 + 31/49*T^22 + 51/49*T^21 + 11/49*T^20
        - 27/49*T^19 - 38/49*T^18 - 9/49*T^17 + 10/49*T^16 - 9/49*T^15 - 38/49*T^14 
        - 27/49*T^13 + 11/49*T^12 + 51/49*T^11 + 31/49*T^10 + 12/49*T^9 + 19/49*T^8 
        + 2/49*T^7 - 16/49*T^6 - 24/49*T^5 - 32/49*T^4 - 48/49*T^3 - 19/49*T^2 + 
        5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 3*X*Y^7 + X*Y^6 + 6*X*Y^5 + 5*X*Y^3 + 3*X*Y^2 + 5*X*Y + 
        6*X + 6*Y^18 + 2*Y^17 + Y^15 + 3*Y^14 + 3*Y^13 + 3*Y^12 + Y^11 + Y^10 + Y^9 
        + Y^8 + 3*Y^7 + 4*Y^6 + 4*Y^5 + Y^4 + 4*Y^3 + Y^2 + 5,
    T^32 + 2*T^31 + 19/7*T^30 + 96/49*T^29 + 50/49*T^28 - 5/49*T^27 - 57/49*T^26 - 
        117/49*T^25 - 145/49*T^24 - 144/49*T^23 - 13/7*T^22 - 43/49*T^21 + 2/49*T^20
        + 13/49*T^19 + T^18 + 10/7*T^17 + 100/49*T^16 + 10/7*T^15 + T^14 + 
        13/49*T^13 + 2/49*T^12 - 43/49*T^11 - 13/7*T^10 - 144/49*T^9 - 145/49*T^8 - 
        117/49*T^7 - 57/49*T^6 - 5/49*T^5 + 50/49*T^4 + 96/49*T^3 + 19/7*T^2 + 2*T +
        1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + X*Y^5 + 5*X*Y^4 + X*Y + 3*X + 6*Y^18 + Y^17 
        + 2*Y^16 + 3*Y^14 + 6*Y^13 + 4*Y^12 + Y^11 + 4*Y^9 + 6*Y^8 + 3*Y^7 + 4*Y^6 +
        3*Y^5 + 6*Y^4 + Y^3 + 6*Y^2 + 2*Y + 6,
    T^32 + 4/7*T^31 + 10/49*T^30 + 2/49*T^29 + 10/49*T^28 + 6/49*T^27 - 1/49*T^26 + 
        23/49*T^25 + 27/49*T^24 - 17/49*T^23 - 22/49*T^22 - 20/49*T^21 - 6/49*T^20 -
        2/7*T^19 - 20/49*T^18 - 16/49*T^17 - 29/49*T^16 - 16/49*T^15 - 20/49*T^14 - 
        2/7*T^13 - 6/49*T^12 - 20/49*T^11 - 22/49*T^10 - 17/49*T^9 + 27/49*T^8 + 
        23/49*T^7 - 1/49*T^6 + 6/49*T^5 + 10/49*T^4 + 2/49*T^3 + 10/49*T^2 + 4/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 5*X*Y^3 + 
        6*X*Y^2 + X + 3*Y^18 + 2*Y^17 + 3*Y^16 + Y^15 + 3*Y^13 + 4*Y^12 + 6*Y^10 + 
        2*Y^9 + 4*Y^8 + 3*Y^7 + 6*Y^6 + 4*Y^4 + 5*Y^3 + 4*Y^2 + 2*Y,
    T^32 - 2/7*T^31 - 8/49*T^30 + 39/49*T^29 + 29/49*T^28 + 2/49*T^27 + 33/49*T^26 +
        23/49*T^25 + 5/49*T^24 + 51/49*T^23 + T^22 - 12/49*T^21 + 25/49*T^20 + 
        67/49*T^19 + 6/49*T^18 + 31/49*T^17 + 34/49*T^16 + 31/49*T^15 + 6/49*T^14 + 
        67/49*T^13 + 25/49*T^12 - 12/49*T^11 + T^10 + 51/49*T^9 + 5/49*T^8 + 
        23/49*T^7 + 33/49*T^6 + 2/49*T^5 + 29/49*T^4 + 39/49*T^3 - 8/49*T^2 - 2/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 6*X*Y^2 + 5*X*Y 
        + 6*X + 4*Y^18 + Y^17 + 5*Y^16 + 2*Y^15 + 6*Y^14 + 5*Y^13 + 4*Y^12 + 6*Y^11 
        + 5*Y^10 + 3*Y^9 + 2*Y^8 + 2*Y^7 + 4*Y^5 + 5*Y^3 + Y^2 + 2,
    T^32 + 9/7*T^31 + 114/49*T^30 + 3*T^29 + 118/49*T^28 + 82/49*T^27 + 34/49*T^26 -
        37/49*T^25 - 86/49*T^24 - 95/49*T^23 - 78/49*T^22 - 72/49*T^21 - 27/49*T^20 
        + 10/49*T^19 - 9/49*T^18 + 15/49*T^16 - 9/49*T^14 + 10/49*T^13 - 27/49*T^12 
        - 72/49*T^11 - 78/49*T^10 - 95/49*T^9 - 86/49*T^8 - 37/49*T^7 + 34/49*T^6 + 
        82/49*T^5 + 118/49*T^4 + 3*T^3 + 114/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^7 + 4*X*Y^6 + X*Y^5 + 4*X*Y^4 + X*Y^2 + X + 3*Y^18 + 2*Y^16 
        + 6*Y^14 + 5*Y^13 + 3*Y^12 + 5*Y^11 + 2*Y^10 + 4*Y^9 + 6*Y^8 + 5*Y^7 + 2*Y^6
        + 5*Y^5 + 3*Y^4 + 2*Y^3 + 6*Y + 1,
    T^32 - 1/7*T^31 - 38/49*T^30 + 6/7*T^29 - 16/49*T^28 - 40/49*T^27 + 3/49*T^26 + 
        12/49*T^25 - 17/49*T^24 - 19/49*T^23 + 26/49*T^22 + 3/49*T^21 + 12/49*T^20 -
        1/7*T^19 + 20/49*T^17 - 30/49*T^16 + 20/49*T^15 - 1/7*T^13 + 12/49*T^12 + 
        3/49*T^11 + 26/49*T^10 - 19/49*T^9 - 17/49*T^8 + 12/49*T^7 + 3/49*T^6 - 
        40/49*T^5 - 16/49*T^4 + 6/7*T^3 - 38/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 4*Y^18
        + Y^17 + 4*Y^16 + 2*Y^14 + 5*Y^13 + 6*Y^12 + 6*Y^11 + Y^10 + 2*Y^8 + 5*Y^7 +
        4*Y^6 + 6*Y^5 + 3*Y^4 + 3*Y^3 + 5*Y + 4,
    T^32 + 12/7*T^31 + 23/49*T^30 - 4/49*T^29 + 23/49*T^28 - 3/49*T^26 + 9/49*T^25 -
        65/49*T^24 - 13/7*T^23 - 12/49*T^22 + 3/49*T^21 - 22/49*T^20 - 9/49*T^19 - 
        3/7*T^18 + 8/49*T^17 + 8/7*T^16 + 8/49*T^15 - 3/7*T^14 - 9/49*T^13 - 
        22/49*T^12 + 3/49*T^11 - 12/49*T^10 - 13/7*T^9 - 65/49*T^8 + 9/49*T^7 - 
        3/49*T^6 + 23/49*T^4 - 4/49*T^3 + 23/49*T^2 + 12/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 3*X*Y^3 + 4*X*Y^2 + X*Y 
        + 4*X + 2*Y^18 + 4*Y^17 + 3*Y^16 + 4*Y^15 + 5*Y^14 + 4*Y^13 + 2*Y^12 + 
        6*Y^11 + 3*Y^9 + 3*Y^8 + 5*Y^7 + 2*Y^6 + 5*Y^5 + 2*Y^4 + 5*Y^3 + 3*Y^2 + 4*Y
        + 1,
    T^32 + 9/7*T^31 - 25/49*T^30 - 142/49*T^29 - 137/49*T^28 + 6/7*T^27 + 
        191/49*T^26 + 115/49*T^25 - 93/49*T^24 - 139/49*T^23 + 29/49*T^22 + 
        22/7*T^21 + 36/49*T^20 - 23/7*T^19 - 153/49*T^18 + 66/49*T^17 + 211/49*T^16 
        + 66/49*T^15 - 153/49*T^14 - 23/7*T^13 + 36/49*T^12 + 22/7*T^11 + 29/49*T^10
        - 139/49*T^9 - 93/49*T^8 + 115/49*T^7 + 191/49*T^6 + 6/7*T^5 - 137/49*T^4 - 
        142/49*T^3 - 25/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + X*Y^4 + 6*X*Y^3 + 6*X*Y^2 
        + 3*X*Y + 4*X + Y^18 + 3*Y^17 + 4*Y^16 + 6*Y^15 + 3*Y^14 + 6*Y^13 + 5*Y^12 +
        5*Y^11 + 2*Y^10 + 3*Y^9 + 6*Y^8 + 4*Y^7 + 6*Y^6 + 2*Y^5 + 2*Y^4 + 6*Y^3 + 
        3*Y^2 + 6*Y + 6,
    -T^32 + 12/7*T^31 - 43/49*T^30 - 34/49*T^29 + 58/49*T^28 + 20/49*T^27 - 
        90/49*T^26 + 57/49*T^25 + 30/49*T^24 - 8/7*T^23 - 9/49*T^22 + 92/49*T^21 - 
        74/49*T^20 - 9/49*T^19 + 51/49*T^18 - 6/7*T^17 + 6/7*T^15 - 51/49*T^14 + 
        9/49*T^13 + 74/49*T^12 - 92/49*T^11 + 9/49*T^10 + 8/7*T^9 - 30/49*T^8 - 
        57/49*T^7 + 90/49*T^6 - 20/49*T^5 - 58/49*T^4 + 34/49*T^3 + 43/49*T^2 - 
        12/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + X*Y^7 + 4*X*Y^6 + X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + 5*X*Y + 
        6*X + Y^18 + Y^17 + 5*Y^16 + 2*Y^14 + 4*Y^13 + 4*Y^12 + 2*Y^11 + 6*Y^10 + 
        2*Y^9 + 6*Y^8 + Y^7 + 6*Y^6 + 3*Y^5 + 3*Y^4 + 5*Y^3 + 6*Y^2 + Y + 4,
    -T^32 + 9/7*T^31 + 32/49*T^30 - 111/49*T^29 + 23/49*T^28 + 97/49*T^27 - 
        10/49*T^26 - 104/49*T^25 + 27/49*T^24 + 113/49*T^23 - 59/49*T^22 - 
        68/49*T^21 + 4/7*T^20 + 52/49*T^19 - 2/7*T^18 - 57/49*T^17 + 57/49*T^15 + 
        2/7*T^14 - 52/49*T^13 - 4/7*T^12 + 68/49*T^11 + 59/49*T^10 - 113/49*T^9 - 
        27/49*T^8 + 104/49*T^7 + 10/49*T^6 - 97/49*T^5 - 23/49*T^4 + 111/49*T^3 - 
        32/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 
        6*X*Y + 2*X + 3*Y^18 + 3*Y^17 + 3*Y^16 + 3*Y^15 + 6*Y^14 + 5*Y^13 + 3*Y^11 +
        2*Y^10 + 6*Y^6 + 3*Y^5 + Y^4 + 2*Y^3 + 5*Y^2 + 2*Y + 3,
    -T^32 - 3/7*T^31 - 19/49*T^30 - 12/49*T^29 - 31/49*T^28 - 64/49*T^27 - 
        43/49*T^26 - 29/49*T^25 - 2/49*T^24 - 43/49*T^23 - 72/49*T^22 - 29/49*T^21 +
        4/49*T^20 + 17/49*T^19 - 39/49*T^18 - 36/49*T^17 + 36/49*T^15 + 39/49*T^14 -
        17/49*T^13 - 4/49*T^12 + 29/49*T^11 + 72/49*T^10 + 43/49*T^9 + 2/49*T^8 + 
        29/49*T^7 + 43/49*T^6 + 64/49*T^5 + 31/49*T^4 + 12/49*T^3 + 19/49*T^2 + 
        3/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 5*X*Y 
        + 4*X + 4*Y^18 + 3*Y^17 + 6*Y^16 + Y^15 + 5*Y^14 + 2*Y^13 + 5*Y^11 + 6*Y^10 
        + 2*Y^9 + 6*Y^8 + 4*Y^6 + 2*Y^5 + 5*Y^4 + 3*Y^3 + 2*Y + 1,
    -T^32 - 9/7*T^31 + 71/49*T^30 + 232/49*T^29 + 13/7*T^28 - 286/49*T^27 - 
        348/49*T^26 + 74/49*T^25 + 390/49*T^24 + 124/49*T^23 - 251/49*T^22 - 
        130/49*T^21 + 256/49*T^20 + 209/49*T^19 - 37/7*T^18 - 430/49*T^17 + 
        430/49*T^15 + 37/7*T^14 - 209/49*T^13 - 256/49*T^12 + 130/49*T^11 + 
        251/49*T^10 - 124/49*T^9 - 390/49*T^8 - 74/49*T^7 + 348/49*T^6 + 286/49*T^5 
        - 13/7*T^4 - 232/49*T^3 - 71/49*T^2 + 9/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 6*X*Y^3 + 4*X*Y + 2*X + 
        6*Y^18 + 4*Y^17 + Y^16 + Y^15 + 2*Y^14 + 2*Y^13 + 3*Y^12 + 6*Y^11 + Y^10 + 
        4*Y^9 + 5*Y^8 + 5*Y^5 + 3*Y^4 + 2*Y^3 + Y + 3,
    -T^32 - 5/7*T^31 - 8/49*T^30 - 30/49*T^29 + 19/49*T^28 - 2/7*T^27 - 20/49*T^26 +
        45/49*T^25 + 13/49*T^24 + 43/49*T^23 + 43/49*T^22 + 3/7*T^21 + 11/7*T^20 + 
        54/49*T^19 + 1/7*T^18 + 13/49*T^17 - 13/49*T^15 - 1/7*T^14 - 54/49*T^13 - 
        11/7*T^12 - 3/7*T^11 - 43/49*T^10 - 43/49*T^9 - 13/49*T^8 - 45/49*T^7 + 
        20/49*T^6 + 2/7*T^5 - 19/49*T^4 + 30/49*T^3 + 8/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + X*Y + 3*X + 4*Y^18 + Y^17 + 5*Y^16 + 5*Y^15 + Y^14 + 5*Y^13 + Y^12
        + 4*Y^11 + 5*Y^10 + 4*Y^9 + Y^8 + 3*Y^7 + 4*Y^6 + 2*Y^5 + Y^4 + 2*Y^3 + 
        2*Y^2,
    T^32 + 13/7*T^31 + 30/49*T^30 - 47/49*T^29 - 33/49*T^28 + 18/49*T^27 + 
        19/49*T^26 + 10/49*T^25 + 16/49*T^24 - 13/49*T^23 - 33/49*T^22 - 26/49*T^21 
        - 3/7*T^20 - 17/49*T^19 - 1/49*T^18 + 2/49*T^17 - 1/7*T^16 + 2/49*T^15 - 
        1/49*T^14 - 17/49*T^13 - 3/7*T^12 - 26/49*T^11 - 33/49*T^10 - 13/49*T^9 + 
        16/49*T^8 + 10/49*T^7 + 19/49*T^6 + 18/49*T^5 - 33/49*T^4 - 47/49*T^3 + 
        30/49*T^2 + 13/7*T + 1
*], [*
    X^3 + 6*X*Y^7 + X*Y^6 + 3*X*Y^5 + X*Y^4 + 2*X*Y^3 + 3*X*Y^2 + 2*X*Y + X + 4*Y^18
        + 4*Y^17 + Y^16 + 5*Y^15 + 2*Y^14 + 4*Y^13 + Y^12 + 3*Y^11 + 3*Y^10 + 3*Y^8 
        + 5*Y^7 + 6*Y^6 + 4*Y^5 + 6*Y^4 + Y^3 + 3*Y^2 + 6*Y + 4,
    -T^32 + 41/49*T^30 + 30/49*T^29 - 20/49*T^28 - 58/49*T^27 + 16/49*T^26 + 
        12/49*T^25 - 5/49*T^24 - 10/49*T^23 + 5/49*T^22 + 24/49*T^21 - 15/49*T^20 - 
        22/49*T^19 + 6/49*T^18 + 15/49*T^17 - 15/49*T^15 - 6/49*T^14 + 22/49*T^13 + 
        15/49*T^12 - 24/49*T^11 - 5/49*T^10 + 10/49*T^9 + 5/49*T^8 - 12/49*T^7 - 
        16/49*T^6 + 58/49*T^5 + 20/49*T^4 - 30/49*T^3 - 41/49*T^2 + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + X*Y^5 + 2*X*Y^4 + X*Y^3 + 5*Y^18 +
        6*Y^16 + 2*Y^15 + Y^14 + 4*Y^13 + 2*Y^12 + 5*Y^10 + 6*Y^9 + 6*Y^8 + 5*Y^7 + 
        6*Y^6 + Y^5 + Y^4 + 4*Y^3 + 6*Y^2 + 2*Y + 4,
    -T^32 - 11/7*T^31 - 72/49*T^30 - 8/7*T^29 - 36/49*T^28 - 4/49*T^27 + 11/49*T^26 
        + 1/7*T^25 - 8/49*T^24 - 3/7*T^23 - 31/49*T^22 - 5/49*T^21 + 38/49*T^20 + 
        T^19 + 41/49*T^18 + 5/7*T^17 - 5/7*T^15 - 41/49*T^14 - T^13 - 38/49*T^12 + 
        5/49*T^11 + 31/49*T^10 + 3/7*T^9 + 8/49*T^8 - 1/7*T^7 - 11/49*T^6 + 4/49*T^5
        + 36/49*T^4 + 8/7*T^3 + 72/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + X*Y^6 + 5*X*Y^5 + 3*X*Y^3 + 2*X*Y^2 + 2*X*Y 
        + 2*X + 2*Y^18 + 5*Y^17 + 5*Y^16 + 6*Y^15 + 3*Y^14 + 6*Y^12 + 4*Y^10 + 4*Y^9
        + 6*Y^8 + Y^7 + 6*Y^6 + 2*Y^5 + 2*Y^4 + 6*Y^3 + Y^2 + 2*Y + 6,
    T^32 - 8/7*T^31 - 89/49*T^30 + 23/7*T^29 + 33/49*T^28 - 190/49*T^27 + 26/49*T^26
        + 173/49*T^25 - 68/49*T^24 - 129/49*T^23 + 94/49*T^22 + 32/49*T^21 - 
        24/49*T^20 - 8/49*T^19 - 23/49*T^18 + 18/49*T^17 + 6/49*T^16 + 18/49*T^15 - 
        23/49*T^14 - 8/49*T^13 - 24/49*T^12 + 32/49*T^11 + 94/49*T^10 - 129/49*T^9 -
        68/49*T^8 + 173/49*T^7 + 26/49*T^6 - 190/49*T^5 + 33/49*T^4 + 23/7*T^3 - 
        89/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + X*Y^3 + X*Y^2 + 
        X*Y + 4*X + 2*Y^18 + Y^17 + 4*Y^16 + 2*Y^14 + 3*Y^13 + 2*Y^11 + 4*Y^10 + 
        5*Y^9 + 4*Y^7 + 4*Y^6 + 5*Y^4 + 3*Y^3 + 3*Y^2 + 4,
    T^32 - 5/7*T^31 - T^30 + 68/49*T^29 - 34/49*T^28 + 4/49*T^27 + 39/49*T^26 - 
        65/49*T^25 + 36/49*T^24 - 9/49*T^23 + 2/49*T^22 + 29/49*T^21 - 11/7*T^20 + 
        83/49*T^19 - 2/7*T^18 - 72/49*T^17 + 106/49*T^16 - 72/49*T^15 - 2/7*T^14 + 
        83/49*T^13 - 11/7*T^12 + 29/49*T^11 + 2/49*T^10 - 9/49*T^9 + 36/49*T^8 - 
        65/49*T^7 + 39/49*T^6 + 4/49*T^5 - 34/49*T^4 + 68/49*T^3 - T^2 - 5/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + X*Y^6 + 5*X*Y^3 + 5*X*Y^2 + 6*X*Y + 4*X + 
        4*Y^18 + 5*Y^17 + 3*Y^16 + 3*Y^15 + 3*Y^14 + 2*Y^12 + 4*Y^11 + 6*Y^9 + 2*Y^8
        + 3*Y^7 + 2*Y^5 + 2*Y^3 + 2*Y^2 + 4*Y + 4,
    T^32 + 8/7*T^31 + 6/7*T^30 - 8/49*T^29 - 31/49*T^28 - 15/49*T^27 + 10/49*T^26 + 
        43/49*T^25 + 26/49*T^24 - 8/49*T^23 - 43/49*T^22 - 2/7*T^21 + 31/49*T^20 + 
        36/49*T^19 + 2/49*T^18 - 34/49*T^17 - 59/49*T^16 - 34/49*T^15 + 2/49*T^14 + 
        36/49*T^13 + 31/49*T^12 - 2/7*T^11 - 43/49*T^10 - 8/49*T^9 + 26/49*T^8 + 
        43/49*T^7 + 10/49*T^6 - 15/49*T^5 - 31/49*T^4 - 8/49*T^3 + 6/7*T^2 + 8/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + X*Y^6 + 2*X*Y^5 + X*Y^4 + 2*X*Y^3 + 6*X*Y^2 
        + 2*X*Y + 5*X + 2*Y^18 + 4*Y^17 + 5*Y^16 + Y^15 + Y^14 + 4*Y^13 + 2*Y^12 + 
        2*Y^11 + 2*Y^10 + 5*Y^9 + 4*Y^8 + 2*Y^7 + 2*Y^6 + 5*Y^5 + 4*Y^4 + 6*Y^2 + 
        5*Y + 1,
    T^32 - 5/7*T^31 + 3/49*T^30 + 48/49*T^29 - 5/7*T^28 + 1/49*T^27 + 19/49*T^26 + 
        3/49*T^25 - 1/7*T^24 - 9/49*T^23 + 2/49*T^22 + 5/7*T^21 - 44/49*T^20 + 
        29/49*T^18 - 19/49*T^17 + 20/49*T^16 - 19/49*T^15 + 29/49*T^14 - 44/49*T^12 
        + 5/7*T^11 + 2/49*T^10 - 9/49*T^9 - 1/7*T^8 + 3/49*T^7 + 19/49*T^6 + 
        1/49*T^5 - 5/7*T^4 + 48/49*T^3 + 3/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        5*X*Y^2 + 2*X*Y + 4*X + 3*Y^18 + Y^17 + 5*Y^15 + 5*Y^14 + 6*Y^13 + 6*Y^11 + 
        3*Y^10 + 3*Y^9 + 3*Y^8 + 5*Y^7 + Y^5 + 2*Y^4 + 2*Y^3 + Y^2 + 2*Y + 4,
    -T^32 - 30/49*T^30 - 11/49*T^29 + 40/49*T^28 - 31/49*T^27 + 36/49*T^26 - 
        10/49*T^25 - 11/49*T^24 + 31/49*T^23 - 29/49*T^22 + 11/49*T^21 + 12/49*T^20 
        - 17/49*T^19 + 44/49*T^18 - 9/49*T^17 + 9/49*T^15 - 44/49*T^14 + 17/49*T^13 
        - 12/49*T^12 - 11/49*T^11 + 29/49*T^10 - 31/49*T^9 + 11/49*T^8 + 10/49*T^7 -
        36/49*T^6 + 31/49*T^5 - 40/49*T^4 + 11/49*T^3 + 30/49*T^2 + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + X*Y + 
        6*X + Y^18 + Y^17 + 6*Y^16 + Y^15 + Y^14 + 2*Y^13 + Y^11 + 2*Y^10 + 6*Y^9 + 
        5*Y^8 + 4*Y^7 + 2*Y^6 + 6*Y^5 + 3*Y^4 + 4*Y^3 + 5*Y^2 + 4*Y + 1,
    T^32 - 6/7*T^31 - 24/49*T^30 + 47/49*T^29 - 33/49*T^28 + 20/49*T^27 - 19/49*T^26
        + 3/7*T^25 + 26/49*T^24 - 31/49*T^23 + 1/49*T^22 - 34/49*T^21 + 61/49*T^20 -
        41/49*T^19 - 33/49*T^18 + 57/49*T^17 - 46/49*T^16 + 57/49*T^15 - 33/49*T^14 
        - 41/49*T^13 + 61/49*T^12 - 34/49*T^11 + 1/49*T^10 - 31/49*T^9 + 26/49*T^8 +
        3/7*T^7 - 19/49*T^6 + 20/49*T^5 - 33/49*T^4 + 47/49*T^3 - 24/49*T^2 - 6/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 
        + 2*X + 6*Y^18 + 4*Y^17 + 5*Y^16 + 4*Y^15 + 2*Y^14 + 3*Y^13 + Y^12 + Y^11 + 
        2*Y^10 + 4*Y^9 + 2*Y^8 + Y^7 + 6*Y^5 + 4*Y^4 + 4*Y^3 + 3*Y,
    -T^32 - 4/7*T^31 + 29/49*T^30 + 52/49*T^29 + 34/49*T^28 - 8/49*T^27 - 18/49*T^26
        - 16/49*T^25 - 2/49*T^24 - 23/49*T^23 - 2/7*T^22 - 3/49*T^21 + 12/49*T^20 + 
        43/49*T^19 + 18/49*T^18 - 8/49*T^17 + 8/49*T^15 - 18/49*T^14 - 43/49*T^13 - 
        12/49*T^12 + 3/49*T^11 + 2/7*T^10 + 23/49*T^9 + 2/49*T^8 + 16/49*T^7 + 
        18/49*T^6 + 8/49*T^5 - 34/49*T^4 - 52/49*T^3 - 29/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 4*X*Y^6 + 2*X*Y^5 + X*Y^4 + 4*X*Y^2 + 4*X*Y + 5*X + 
        6*Y^18 + 3*Y^17 + 5*Y^16 + 4*Y^15 + 2*Y^14 + 4*Y^13 + 2*Y^12 + 4*Y^11 + 
        2*Y^10 + 3*Y^9 + 5*Y^8 + 6*Y^7 + 5*Y^6 + 3*Y^5 + 5*Y^4 + 2*Y^3 + 5*Y^2 + 5*Y
        + 5,
    T^32 - T^31 + 17/49*T^30 - 24/49*T^29 + 9/49*T^28 - 13/49*T^27 + 12/49*T^26 + 
        13/49*T^25 - 5/49*T^24 - 1/49*T^23 - 19/49*T^22 + 6/49*T^21 + 2/49*T^20 + 
        33/49*T^19 - 32/49*T^18 + 39/49*T^17 - 58/49*T^16 + 39/49*T^15 - 32/49*T^14 
        + 33/49*T^13 + 2/49*T^12 + 6/49*T^11 - 19/49*T^10 - 1/49*T^9 - 5/49*T^8 + 
        13/49*T^7 + 12/49*T^6 - 13/49*T^5 + 9/49*T^4 - 24/49*T^3 + 17/49*T^2 - T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 3*X*Y^5 + 3*X*Y^4 + X*Y^2 + 5*Y^18 + 4*Y^17 + 4*Y^16 +
        6*Y^15 + 2*Y^14 + 3*Y^13 + Y^12 + 5*Y^11 + 3*Y^10 + 3*Y^9 + 2*Y^7 + 4*Y^6 + 
        5*Y^5 + Y^4 + Y^3 + 2*Y^2 + 6*Y + 2,
    T^32 - 1/7*T^31 - 85/49*T^30 + 59/49*T^29 + 92/49*T^28 - 78/49*T^27 - 73/49*T^26
        + 136/49*T^25 + 59/49*T^24 - 184/49*T^23 + 24/49*T^22 + 27/7*T^21 - 
        97/49*T^20 - 17/7*T^19 + 167/49*T^18 + 46/49*T^17 - 187/49*T^16 + 46/49*T^15
        + 167/49*T^14 - 17/7*T^13 - 97/49*T^12 + 27/7*T^11 + 24/49*T^10 - 184/49*T^9
        + 59/49*T^8 + 136/49*T^7 - 73/49*T^6 - 78/49*T^5 + 92/49*T^4 + 59/49*T^3 - 
        85/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 
        X*Y^2 + 3*X + 2*Y^18 + 3*Y^17 + 6*Y^16 + 2*Y^14 + 3*Y^13 + 2*Y^12 + 5*Y^11 +
        3*Y^10 + 2*Y^8 + 5*Y^7 + 3*Y^6 + 6*Y^5 + 6*Y^4 + 6*Y^3 + 2*Y^2 + 3*Y + 2,
    T^32 + 6/7*T^31 + 11/49*T^30 - 32/49*T^29 - 40/49*T^28 - 32/49*T^27 - 13/49*T^26
        + 13/49*T^25 + 4/49*T^24 + 1/49*T^23 + 9/49*T^22 + 25/49*T^21 - 16/49*T^20 -
        17/49*T^19 + 1/49*T^18 + 8/49*T^17 + 10/49*T^16 + 8/49*T^15 + 1/49*T^14 - 
        17/49*T^13 - 16/49*T^12 + 25/49*T^11 + 9/49*T^10 + 1/49*T^9 + 4/49*T^8 + 
        13/49*T^7 - 13/49*T^6 - 32/49*T^5 - 40/49*T^4 - 32/49*T^3 + 11/49*T^2 + 
        6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 
        3*X*Y^2 + 6*X*Y + 3*X + 6*Y^18 + 6*Y^17 + 4*Y^16 + 2*Y^15 + 3*Y^14 + 3*Y^13 
        + 4*Y^12 + 4*Y^9 + 5*Y^8 + 2*Y^6 + 6*Y^5 + 6*Y^4 + Y^3 + 3*Y^2 + 4*Y + 5,
    T^32 + 10/7*T^31 + 22/49*T^30 - 8/7*T^29 - 50/49*T^28 + 26/49*T^27 + 51/49*T^26 
        + 1/7*T^25 - 29/49*T^24 + 2/49*T^23 + 10/7*T^22 + 95/49*T^21 + 57/49*T^20 - 
        8/49*T^19 - 39/49*T^18 + 1/7*T^17 + 4/7*T^16 + 1/7*T^15 - 39/49*T^14 - 
        8/49*T^13 + 57/49*T^12 + 95/49*T^11 + 10/7*T^10 + 2/49*T^9 - 29/49*T^8 + 
        1/7*T^7 + 51/49*T^6 + 26/49*T^5 - 50/49*T^4 - 8/7*T^3 + 22/49*T^2 + 10/7*T +
        1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 4*X*Y^2 + 4*X*Y + 5*X + 
        3*Y^18 + 6*Y^17 + 4*Y^16 + Y^15 + 5*Y^14 + 4*Y^13 + 6*Y^12 + 3*Y^11 + 2*Y^10
        + Y^9 + 3*Y^8 + 5*Y^7 + 4*Y^6 + 3*Y^5 + 3*Y^4 + 2*Y^3 + 6*Y^2 + 3,
    T^32 - 9/7*T^31 + 24/49*T^30 - 43/49*T^29 + 65/49*T^28 - 46/49*T^27 + 58/49*T^26
        - 5/7*T^25 + 5/49*T^24 + 1/49*T^23 - 9/49*T^22 + 1/7*T^21 - 1/7*T^20 + 
        18/49*T^19 - 1/49*T^18 + 1/49*T^17 - 12/49*T^16 + 1/49*T^15 - 1/49*T^14 + 
        18/49*T^13 - 1/7*T^12 + 1/7*T^11 - 9/49*T^10 + 1/49*T^9 + 5/49*T^8 - 5/7*T^7
        + 58/49*T^6 - 46/49*T^5 + 65/49*T^4 - 43/49*T^3 + 24/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + X*Y^3 + 
        3*X*Y^2 + 3*X*Y + 4*X + 5*Y^18 + Y^16 + 6*Y^15 + Y^14 + 4*Y^13 + 5*Y^10 + 
        2*Y^8 + 6*Y^7 + 4*Y^6 + Y^5 + 6*Y^4 + 6*Y^2 + 5*Y,
    T^32 - 5/7*T^31 - 43/49*T^30 + 2/7*T^29 + 31/49*T^28 - 27/49*T^27 + 27/49*T^26 -
        2/49*T^25 - 9/49*T^24 - 22/49*T^23 + 19/49*T^22 + 9/49*T^21 + 1/7*T^20 - 
        4/49*T^19 - 17/49*T^18 - 3/49*T^17 + 3/7*T^16 - 3/49*T^15 - 17/49*T^14 - 
        4/49*T^13 + 1/7*T^12 + 9/49*T^11 + 19/49*T^10 - 22/49*T^9 - 9/49*T^8 - 
        2/49*T^7 + 27/49*T^6 - 27/49*T^5 + 31/49*T^4 + 2/7*T^3 - 43/49*T^2 - 5/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + X*Y^3 + 
        5*X*Y^2 + 2*X*Y + 5*X + 6*Y^18 + 4*Y^16 + 3*Y^15 + 2*Y^13 + 6*Y^12 + 3*Y^11 
        + 6*Y^10 + 6*Y^9 + 5*Y^8 + 3*Y^7 + Y^6 + 2*Y^5 + 3*Y^4 + Y^3 + 6*Y + 5,
    -T^32 - T^31 + 17/49*T^30 + 89/49*T^29 + 55/49*T^28 - 75/49*T^27 - 120/49*T^26 +
        3/7*T^25 + 132/49*T^24 + 43/49*T^23 - 94/49*T^22 - 11/7*T^21 + 104/49*T^20 +
        17/7*T^19 - 65/49*T^18 - 148/49*T^17 + 148/49*T^15 + 65/49*T^14 - 17/7*T^13 
        - 104/49*T^12 + 11/7*T^11 + 94/49*T^10 - 43/49*T^9 - 132/49*T^8 - 3/7*T^7 + 
        120/49*T^6 + 75/49*T^5 - 55/49*T^4 - 89/49*T^3 - 17/49*T^2 + T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        4*X*Y^2 + 2*X*Y + X + 4*Y^18 + 5*Y^17 + 5*Y^16 + Y^15 + 4*Y^11 + 3*Y^10 + 
        Y^9 + 6*Y^8 + 2*Y^7 + 3*Y^4 + 6*Y^3 + 6*Y^2 + 3,
    T^32 - 4/7*T^30 + 4/7*T^29 - 2/49*T^28 - 16/49*T^27 + 34/49*T^26 - 11/49*T^25 - 
        13/49*T^24 + 31/49*T^23 - 32/49*T^22 + 6/49*T^21 + 33/49*T^20 - 6/7*T^19 + 
        2/49*T^18 + 20/49*T^17 - 18/49*T^16 + 20/49*T^15 + 2/49*T^14 - 6/7*T^13 + 
        33/49*T^12 + 6/49*T^11 - 32/49*T^10 + 31/49*T^9 - 13/49*T^8 - 11/49*T^7 + 
        34/49*T^6 - 16/49*T^5 - 2/49*T^4 + 4/7*T^3 - 4/7*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + X*Y^5 + X*Y^3 + 4*X*Y^2 + 6*X*Y + 
        3*X + Y^18 + 5*Y^17 + 3*Y^15 + 5*Y^14 + Y^13 + 5*Y^12 + 4*Y^11 + 3*Y^10 + 
        4*Y^9 + 6*Y^8 + 4*Y^7 + 5*Y^6 + 6*Y^5 + Y^4 + 6*Y^3 + 4*Y^2 + 6*Y + 2,
    T^32 + 5/7*T^31 - 53/49*T^30 - 45/49*T^29 + 1/7*T^28 + 38/49*T^27 + 1/49*T^26 - 
        50/49*T^25 - 8/49*T^24 + 44/49*T^23 + 24/49*T^22 - 33/49*T^21 - 32/49*T^20 +
        8/49*T^19 + 22/49*T^18 + 6/49*T^17 - 10/49*T^16 + 6/49*T^15 + 22/49*T^14 + 
        8/49*T^13 - 32/49*T^12 - 33/49*T^11 + 24/49*T^10 + 44/49*T^9 - 8/49*T^8 - 
        50/49*T^7 + 1/49*T^6 + 38/49*T^5 + 1/7*T^4 - 45/49*T^3 - 53/49*T^2 + 5/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + 
        5*X*Y + X + Y^18 + 2*Y^17 + 4*Y^15 + 2*Y^14 + 5*Y^12 + 3*Y^11 + Y^10 + 5*Y^9
        + 3*Y^8 + 5*Y^7 + Y^6 + 3*Y^5 + 3*Y^3 + 3*Y^2 + Y + 6,
    -T^32 + 11/7*T^31 - 45/49*T^30 + 6/49*T^29 + 9/49*T^28 + 30/49*T^27 - 46/49*T^26
        + 31/49*T^25 - 46/49*T^24 + 27/49*T^23 + 8/49*T^22 - 20/49*T^21 - 6/49*T^20 
        + 40/49*T^19 - 13/49*T^18 - 11/49*T^17 + 11/49*T^15 + 13/49*T^14 - 
        40/49*T^13 + 6/49*T^12 + 20/49*T^11 - 8/49*T^10 - 27/49*T^9 + 46/49*T^8 - 
        31/49*T^7 + 46/49*T^6 - 30/49*T^5 - 9/49*T^4 - 6/49*T^3 + 45/49*T^2 - 11/7*T
        + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + X*Y^3 + 
        4*X*Y^2 + 3*X*Y + X + 4*Y^18 + 3*Y^17 + Y^16 + 4*Y^15 + Y^13 + 6*Y^12 + 
        4*Y^11 + Y^10 + 3*Y^8 + 2*Y^7 + 3*Y^5 + Y^3 + 3*Y^2 + Y + 3,
    -T^32 - 10/7*T^31 - 92/49*T^30 - 95/49*T^29 - 2*T^28 - 67/49*T^27 - 66/49*T^26 -
        6/7*T^25 - 24/49*T^24 + 1/49*T^23 - 20/49*T^22 - 41/49*T^21 - 9/7*T^20 - 
        65/49*T^19 - 51/49*T^18 - 16/49*T^17 + 16/49*T^15 + 51/49*T^14 + 65/49*T^13 
        + 9/7*T^12 + 41/49*T^11 + 20/49*T^10 - 1/49*T^9 + 24/49*T^8 + 6/7*T^7 + 
        66/49*T^6 + 67/49*T^5 + 2*T^4 + 95/49*T^3 + 92/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 
        6*X*Y + 2*X + 2*Y^18 + 2*Y^17 + Y^16 + 4*Y^15 + Y^14 + 6*Y^13 + 4*Y^12 + 
        4*Y^11 + 5*Y^7 + 5*Y^5 + Y^3 + 2*Y^2,
    T^32 - 5/7*T^31 - 25/49*T^30 + 73/49*T^29 - 73/49*T^28 + 15/49*T^27 + 19/49*T^26
        - 83/49*T^25 + 82/49*T^24 - 37/49*T^23 - 1/7*T^22 + 89/49*T^21 - 94/49*T^20 
        + 88/49*T^19 - 15/49*T^18 - 104/49*T^17 + 141/49*T^16 - 104/49*T^15 - 
        15/49*T^14 + 88/49*T^13 - 94/49*T^12 + 89/49*T^11 - 1/7*T^10 - 37/49*T^9 + 
        82/49*T^8 - 83/49*T^7 + 19/49*T^6 + 15/49*T^5 - 73/49*T^4 + 73/49*T^3 - 
        25/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 5*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + X*Y^3 + 3*X*Y^2 + 6*X + 6*Y^18 + 
        2*Y^17 + 4*Y^16 + 4*Y^15 + 6*Y^14 + 6*Y^13 + 3*Y^12 + 3*Y^11 + 6*Y^10 + 
        4*Y^9 + 4*Y^7 + 5*Y^6 + 6*Y^5 + 3*Y^4 + Y^3 + 5*Y^2 + 6*Y + 6,
    T^32 + 11/7*T^31 + 5/7*T^30 - 9/7*T^29 - 62/49*T^28 + 25/49*T^27 + 88/49*T^26 + 
        29/49*T^25 - 19/49*T^24 - 17/49*T^23 + 1/49*T^22 - 46/49*T^21 - 41/49*T^20 +
        17/49*T^19 + 53/49*T^18 - 22/49*T^17 - 64/49*T^16 - 22/49*T^15 + 53/49*T^14 
        + 17/49*T^13 - 41/49*T^12 - 46/49*T^11 + 1/49*T^10 - 17/49*T^9 - 19/49*T^8 +
        29/49*T^7 + 88/49*T^6 + 25/49*T^5 - 62/49*T^4 - 9/7*T^3 + 5/7*T^2 + 11/7*T +
        1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 3*X*Y^5 + X*Y^4 + 6*X*Y^2 + 2*X*Y + 2*X + 
        2*Y^18 + 6*Y^16 + 4*Y^15 + 6*Y^13 + Y^12 + 2*Y^11 + Y^10 + 2*Y^9 + 2*Y^6 + 
        5*Y^5 + Y^4 + 5*Y^3 + 4*Y^2 + 2*Y + 1,
    -T^32 - 5/7*T^31 - 1/7*T^30 + 37/49*T^29 + 17/49*T^28 + 3/7*T^27 - 3/49*T^26 - 
        5/49*T^25 - 9/49*T^24 - 16/49*T^23 - 9/49*T^22 - 9/49*T^21 + 13/49*T^20 + 
        6/49*T^19 + 9/49*T^18 + 2/49*T^17 - 2/49*T^15 - 9/49*T^14 - 6/49*T^13 - 
        13/49*T^12 + 9/49*T^11 + 9/49*T^10 + 16/49*T^9 + 9/49*T^8 + 5/49*T^7 + 
        3/49*T^6 - 3/7*T^5 - 17/49*T^4 - 37/49*T^3 + 1/7*T^2 + 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 
        3*X*Y + X + 3*Y^18 + Y^17 + 2*Y^15 + Y^14 + 4*Y^13 + 5*Y^11 + 6*Y^9 + 2*Y^8 
        + 2*Y^7 + 5*Y^6 + 2*Y^5 + 3*Y^4 + 4*Y^3 + 3*Y + 4,
    -T^32 + 8/7*T^31 - 26/49*T^30 + 4/7*T^29 - 12/49*T^28 + 46/49*T^27 - 62/49*T^26 
        + 62/49*T^25 - 104/49*T^24 + 72/49*T^23 - 4/7*T^22 - 3/49*T^21 - 1/7*T^20 + 
        10/7*T^19 - 8/7*T^18 + 33/49*T^17 - 33/49*T^15 + 8/7*T^14 - 10/7*T^13 + 
        1/7*T^12 + 3/49*T^11 + 4/7*T^10 - 72/49*T^9 + 104/49*T^8 - 62/49*T^7 + 
        62/49*T^6 - 46/49*T^5 + 12/49*T^4 - 4/7*T^3 + 26/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 
        2*X*Y^2 + 6*X + 3*Y^18 + 4*Y^17 + 6*Y^16 + Y^15 + Y^14 + 3*Y^13 + 5*Y^12 + 
        2*Y^11 + 2*Y^10 + 6*Y^9 + Y^8 + 4*Y^7 + 6*Y^6 + 3*Y^5 + 5*Y^3 + 3*Y^2 + Y + 
        3,
    T^32 + 9/7*T^31 + 6/7*T^30 + 38/49*T^29 + 1/7*T^28 - 27/49*T^27 - 34/49*T^26 - 
        41/49*T^25 - 54/49*T^24 - 74/49*T^23 - 80/49*T^22 - 44/49*T^21 - 5/49*T^20 +
        36/49*T^19 + 57/49*T^18 + 65/49*T^17 + 68/49*T^16 + 65/49*T^15 + 57/49*T^14 
        + 36/49*T^13 - 5/49*T^12 - 44/49*T^11 - 80/49*T^10 - 74/49*T^9 - 54/49*T^8 -
        41/49*T^7 - 34/49*T^6 - 27/49*T^5 + 1/7*T^4 + 38/49*T^3 + 6/7*T^2 + 9/7*T + 
        1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + 6*Y^18 + 4*Y^17 + 6*Y^16 + 6*Y^15 + 5*Y^14 + 2*Y^13 + 4*Y^12 + 
        5*Y^11 + 2*Y^10 + 6*Y^9 + 6*Y^7 + 3*Y^5 + 6*Y^4 + 2*Y^3 + 3*Y^2 + Y + 6,
    -T^32 - 16/7*T^31 - 93/49*T^30 - 6/49*T^29 + 125/49*T^28 + 236/49*T^27 + 
        233/49*T^26 + 106/49*T^25 - 82/49*T^24 - 244/49*T^23 - 289/49*T^22 - 
        195/49*T^21 - 13/49*T^20 + 173/49*T^19 + 236/49*T^18 + 22/7*T^17 - 22/7*T^15
        - 236/49*T^14 - 173/49*T^13 + 13/49*T^12 + 195/49*T^11 + 289/49*T^10 + 
        244/49*T^9 + 82/49*T^8 - 106/49*T^7 - 233/49*T^6 - 236/49*T^5 - 125/49*T^4 +
        6/49*T^3 + 93/49*T^2 + 16/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 4*X*Y^6 + X*Y^5 + 6*X*Y^2 + 5*X*Y + 4*X + 6*Y^18 + 2*Y^17 + 
        3*Y^16 + Y^15 + 4*Y^14 + 4*Y^12 + 4*Y^11 + Y^10 + 4*Y^9 + 2*Y^8 + Y^6 + 
        3*Y^5 + 4*Y^4 + 5*Y^3 + 3*Y,
    T^32 + 13/7*T^31 + 8/49*T^30 - 90/49*T^29 - T^28 + 54/49*T^27 + 38/49*T^26 - 
        81/49*T^25 - 92/49*T^24 + 24/49*T^23 + 9/7*T^22 - 22/49*T^21 - 75/49*T^20 - 
        8/49*T^19 + 67/49*T^18 + 38/49*T^17 - 5/49*T^16 + 38/49*T^15 + 67/49*T^14 - 
        8/49*T^13 - 75/49*T^12 - 22/49*T^11 + 9/7*T^10 + 24/49*T^9 - 92/49*T^8 - 
        81/49*T^7 + 38/49*T^6 + 54/49*T^5 - T^4 - 90/49*T^3 + 8/49*T^2 + 13/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + X*Y^4 + X*Y^3 + 2*X*Y^2 
        + 4*X*Y + 2*X + 5*Y^18 + 4*Y^16 + Y^15 + 3*Y^14 + 6*Y^13 + 4*Y^12 + 6*Y^11 +
        5*Y^10 + Y^9 + 4*Y^8 + 4*Y^7 + Y^6 + 5*Y^4 + 3*Y^3 + 3*Y^2 + 3*Y + 4,
    T^32 + 6/7*T^31 - 27/49*T^30 - 46/49*T^29 - 39/49*T^28 - 6/7*T^27 - 1/49*T^26 + 
        44/49*T^25 + 37/49*T^24 + 15/49*T^23 + 17/49*T^22 + 15/49*T^21 - 38/49*T^20 
        - 50/49*T^19 + 4/49*T^18 + 19/49*T^17 + 6/49*T^16 + 19/49*T^15 + 4/49*T^14 -
        50/49*T^13 - 38/49*T^12 + 15/49*T^11 + 17/49*T^10 + 15/49*T^9 + 37/49*T^8 + 
        44/49*T^7 - 1/49*T^6 - 6/7*T^5 - 39/49*T^4 - 46/49*T^3 - 27/49*T^2 + 6/7*T +
        1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 2*X*Y^3 + X*Y + 4*X + 
        4*Y^18 + 6*Y^17 + 6*Y^15 + 5*Y^14 + 2*Y^13 + 2*Y^12 + 4*Y^11 + 3*Y^9 + 3*Y^7
        + 4*Y^6 + 4*Y^4 + 5*Y^3 + 5*Y^2 + Y + 1,
    T^32 + 17/7*T^31 + 163/49*T^30 + 149/49*T^29 + 60/49*T^28 - 39/49*T^27 - 
        83/49*T^26 - 10/7*T^25 - 53/49*T^24 - 66/49*T^23 - 15/7*T^22 - 106/49*T^21 -
        54/49*T^20 + 11/49*T^19 + 55/49*T^18 + 50/49*T^17 + 36/49*T^16 + 50/49*T^15 
        + 55/49*T^14 + 11/49*T^13 - 54/49*T^12 - 106/49*T^11 - 15/7*T^10 - 66/49*T^9
        - 53/49*T^8 - 10/7*T^7 - 83/49*T^6 - 39/49*T^5 + 60/49*T^4 + 149/49*T^3 + 
        163/49*T^2 + 17/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 3*X*Y^7 + 2*X*Y^5 + 4*X*Y^3 + 5*X*Y^2 + 6*X*Y + 2*X + 
        3*Y^18 + 5*Y^16 + 3*Y^15 + 3*Y^14 + 4*Y^13 + 3*Y^12 + 2*Y^11 + 5*Y^10 + 
        6*Y^9 + 6*Y^8 + Y^7 + 2*Y^6 + 5*Y^5 + 5*Y^4 + 2*Y^3 + 5*Y^2 + Y + 1,
    T^32 - 1/7*T^31 - T^30 + 18/49*T^29 + 12/49*T^28 - 5/7*T^27 + 10/49*T^26 + 
        24/49*T^25 + 2/7*T^24 + 1/49*T^23 - 11/49*T^22 + 2/49*T^21 - 13/49*T^20 - 
        38/49*T^19 + 17/49*T^18 + 3/7*T^17 - 5/49*T^16 + 3/7*T^15 + 17/49*T^14 - 
        38/49*T^13 - 13/49*T^12 + 2/49*T^11 - 11/49*T^10 + 1/49*T^9 + 2/7*T^8 + 
        24/49*T^7 + 10/49*T^6 - 5/7*T^5 + 12/49*T^4 + 18/49*T^3 - T^2 - 1/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + X*Y^4 + 5*X*Y^3 + 4*X*Y + 
        Y^18 + 4*Y^17 + Y^16 + Y^15 + 3*Y^14 + 3*Y^13 + 5*Y^12 + 4*Y^11 + 4*Y^10 + 
        3*Y^9 + 2*Y^8 + 4*Y^7 + 4*Y^6 + Y^5 + 3*Y^4 + Y^3 + 6*Y^2 + Y + 1,
    -T^32 + 13/7*T^31 - 48/49*T^30 + 2/7*T^29 - 3/7*T^28 + 27/49*T^27 - 19/49*T^26 +
        2/7*T^25 - 52/49*T^24 + 68/49*T^23 - 39/49*T^22 + 41/49*T^21 - 9/49*T^20 - 
        26/49*T^19 - 8/49*T^18 + 27/49*T^17 - 27/49*T^15 + 8/49*T^14 + 26/49*T^13 + 
        9/49*T^12 - 41/49*T^11 + 39/49*T^10 - 68/49*T^9 + 52/49*T^8 - 2/7*T^7 + 
        19/49*T^6 - 27/49*T^5 + 3/7*T^4 - 2/7*T^3 + 48/49*T^2 - 13/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 4*X*Y^2 + 
        2*X*Y + 6*X + Y^18 + Y^17 + 5*Y^15 + 2*Y^14 + 5*Y^13 + 6*Y^11 + 3*Y^10 + 
        3*Y^9 + 5*Y^7 + Y^6 + Y^5 + 3*Y^4 + 2*Y^3 + 2*Y^2 + 6*Y + 4,
    T^32 - 10/7*T^31 - 17/49*T^30 + 106/49*T^29 - 97/49*T^28 + 24/49*T^27 + 
        62/49*T^26 - 85/49*T^25 + 22/49*T^24 + 41/49*T^23 - 5/7*T^22 - 18/49*T^21 + 
        43/49*T^20 - 36/49*T^19 + 26/49*T^18 + 41/49*T^17 - 96/49*T^16 + 41/49*T^15 
        + 26/49*T^14 - 36/49*T^13 + 43/49*T^12 - 18/49*T^11 - 5/7*T^10 + 41/49*T^9 +
        22/49*T^8 - 85/49*T^7 + 62/49*T^6 + 24/49*T^5 - 97/49*T^4 + 106/49*T^3 - 
        17/49*T^2 - 10/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + X*Y^4 + X*Y^2 + 3*X*Y + 
        3*X + 4*Y^18 + 6*Y^17 + 4*Y^16 + 3*Y^15 + 4*Y^14 + 4*Y^13 + 2*Y^12 + Y^11 + 
        3*Y^9 + Y^8 + 5*Y^7 + 3*Y^6 + 4*Y^4 + 5*Y^3 + 3*Y^2 + 5*Y + 3,
    T^32 + 6/7*T^31 - 37/49*T^30 - 17/49*T^29 + 25/49*T^28 - 15/49*T^27 - 16/49*T^26
        + 24/49*T^25 - 15/49*T^24 - 30/49*T^23 - 3/49*T^22 + 17/49*T^21 + 5/49*T^20 
        - 9/49*T^19 + 6/49*T^18 - 11/49*T^17 - 26/49*T^16 - 11/49*T^15 + 6/49*T^14 -
        9/49*T^13 + 5/49*T^12 + 17/49*T^11 - 3/49*T^10 - 30/49*T^9 - 15/49*T^8 + 
        24/49*T^7 - 16/49*T^6 - 15/49*T^5 + 25/49*T^4 - 17/49*T^3 - 37/49*T^2 + 
        6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^7 + 6*X*Y^5 + 5*X*Y^4 + 2*X*Y^2 + 2*X*Y + 4*X + Y^18 + 
        3*Y^17 + 5*Y^16 + 3*Y^14 + 3*Y^13 + 3*Y^12 + 2*Y^11 + 6*Y^10 + Y^9 + 5*Y^8 +
        4*Y^7 + 4*Y^6 + 5*Y^5 + 4*Y^4 + Y^3,
    T^32 - 2*T^31 + 36/49*T^30 + 85/49*T^29 - 158/49*T^28 + 24/7*T^27 - 66/49*T^26 -
        155/49*T^25 + 279/49*T^24 - 180/49*T^23 - 10/49*T^22 + 188/49*T^21 - 
        310/49*T^20 + 33/7*T^19 + 5/7*T^18 - 242/49*T^17 + 300/49*T^16 - 242/49*T^15
        + 5/7*T^14 + 33/7*T^13 - 310/49*T^12 + 188/49*T^11 - 10/49*T^10 - 180/49*T^9
        + 279/49*T^8 - 155/49*T^7 - 66/49*T^6 + 24/7*T^5 - 158/49*T^4 + 85/49*T^3 + 
        36/49*T^2 - 2*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 3*X*Y^6 + 5*X*Y^5 + X*Y^4 + 5*X*Y^3 + 4*X*Y^2 + 4*X*Y 
        + 2*X + 3*Y^18 + 5*Y^17 + 5*Y^16 + Y^15 + 4*Y^14 + 4*Y^13 + 5*Y^12 + 2*Y^11 
        + 3*Y^10 + Y^9 + 4*Y^8 + 4*Y^7 + 5*Y^6 + 5*Y^5 + 5*Y^4 + 3*Y^2 + 6*Y + 1,
    T^32 + 12/7*T^31 + 17/49*T^30 - 67/49*T^29 - 61/49*T^28 - 4/49*T^27 + 18/49*T^26
        - 2/7*T^25 - 88/49*T^24 - 15/7*T^23 + 9/49*T^22 + 88/49*T^21 + 15/49*T^20 - 
        80/49*T^19 - 37/49*T^18 + 101/49*T^17 + 166/49*T^16 + 101/49*T^15 - 
        37/49*T^14 - 80/49*T^13 + 15/49*T^12 + 88/49*T^11 + 9/49*T^10 - 15/7*T^9 - 
        88/49*T^8 - 2/7*T^7 + 18/49*T^6 - 4/49*T^5 - 61/49*T^4 - 67/49*T^3 + 
        17/49*T^2 + 12/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        2*X*Y^2 + 4*X*Y + X + 6*Y^18 + 3*Y^17 + 6*Y^16 + 3*Y^15 + 3*Y^14 + 2*Y^13 + 
        3*Y^12 + Y^11 + Y^10 + 6*Y^9 + 5*Y^8 + Y^7 + 5*Y^6 + 5*Y^5 + 3*Y^4 + Y^3 + 
        4*Y^2 + 6*Y + 4,
    -T^32 + 3/7*T^31 - 45/49*T^30 + 73/49*T^29 - 33/49*T^28 + 23/49*T^27 - 
        31/49*T^26 - 2/49*T^25 + 33/49*T^24 - 40/49*T^23 + 10/49*T^22 - 2/7*T^21 + 
        32/49*T^20 + 3/7*T^19 - 24/49*T^18 - 31/49*T^17 + 31/49*T^15 + 24/49*T^14 - 
        3/7*T^13 - 32/49*T^12 + 2/7*T^11 - 10/49*T^10 + 40/49*T^9 - 33/49*T^8 + 
        2/49*T^7 + 31/49*T^6 - 23/49*T^5 + 33/49*T^4 - 73/49*T^3 + 45/49*T^2 - 3/7*T
        + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 5*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 5*X*Y + 5*X + 
        4*Y^18 + 4*Y^17 + 4*Y^16 + 2*Y^15 + 4*Y^14 + Y^11 + 6*Y^10 + Y^9 + 2*Y^8 + 
        2*Y^7 + 2*Y^6 + 3*Y^5 + 5*Y^4 + 5*Y^3 + 2*Y^2 + 3*Y + 3,
    T^32 + 8/7*T^31 + 6/7*T^30 + 4/49*T^29 - 38/49*T^28 - 45/49*T^27 - T^26 - 
        39/49*T^25 - 53/49*T^24 - 48/49*T^23 - 43/49*T^22 - 17/49*T^21 + 3/49*T^20 +
        31/49*T^19 + 8/7*T^18 + 52/49*T^17 + 79/49*T^16 + 52/49*T^15 + 8/7*T^14 + 
        31/49*T^13 + 3/49*T^12 - 17/49*T^11 - 43/49*T^10 - 48/49*T^9 - 53/49*T^8 - 
        39/49*T^7 - T^6 - 45/49*T^5 - 38/49*T^4 + 4/49*T^3 + 6/7*T^2 + 8/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 5*X*Y^6 + X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + X*Y + 
        5*X + 3*Y^18 + 4*Y^17 + 2*Y^14 + Y^13 + 3*Y^12 + Y^11 + 2*Y^10 + 4*Y^9 + 
        3*Y^8 + 5*Y^7 + 3*Y^6 + Y^5 + 2*Y^4 + 2*Y^2 + 5*Y + 5,
    T^32 - 4/7*T^31 - 12/49*T^30 - 2/7*T^29 + 23/49*T^28 + 34/49*T^27 - 4/7*T^26 - 
        23/49*T^25 + 13/49*T^24 + 16/49*T^22 - 11/49*T^21 + 12/49*T^20 - 1/49*T^19 -
        6/49*T^18 + 10/49*T^17 - 4/49*T^16 + 10/49*T^15 - 6/49*T^14 - 1/49*T^13 + 
        12/49*T^12 - 11/49*T^11 + 16/49*T^10 + 13/49*T^8 - 23/49*T^7 - 4/7*T^6 + 
        34/49*T^5 + 23/49*T^4 - 2/7*T^3 - 12/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 
        6*X*Y^2 + 2*X*Y + 4*X + 6*Y^18 + 4*Y^17 + 2*Y^16 + 6*Y^13 + 6*Y^12 + 6*Y^11 
        + 4*Y^9 + 2*Y^8 + 2*Y^7 + 2*Y^6 + 4*Y^5 + Y^4 + 5*Y^3 + 6*Y^2 + 2*Y,
    T^32 + 4/7*T^31 - 52/49*T^30 - 48/49*T^29 - 8/49*T^28 + 24/49*T^27 + 13/49*T^26 
        + 25/49*T^25 + 18/49*T^24 - 40/49*T^23 - 51/49*T^22 + 17/49*T^21 + 3/7*T^20 
        - 4/49*T^19 - 1/49*T^17 + 22/49*T^16 - 1/49*T^15 - 4/49*T^13 + 3/7*T^12 + 
        17/49*T^11 - 51/49*T^10 - 40/49*T^9 + 18/49*T^8 + 25/49*T^7 + 13/49*T^6 + 
        24/49*T^5 - 8/49*T^4 - 48/49*T^3 - 52/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + X*Y^4 + 3*X*Y^3 + 
        2*X*Y^2 + 6*X*Y + 6*X + 3*Y^18 + 2*Y^17 + 5*Y^16 + Y^15 + 6*Y^14 + 5*Y^13 + 
        5*Y^12 + 2*Y^11 + 4*Y^9 + 4*Y^7 + 6*Y^5 + 5*Y^3 + 4*Y^2 + 2,
    T^32 - 15/7*T^31 + 122/49*T^30 - 50/49*T^29 - 89/49*T^28 + 188/49*T^27 - 
        183/49*T^26 + 11/7*T^25 + 27/49*T^24 - 67/49*T^23 + 75/49*T^22 - 110/49*T^21
        + 157/49*T^20 - 142/49*T^19 - 1/7*T^18 + 209/49*T^17 - 43/7*T^16 + 
        209/49*T^15 - 1/7*T^14 - 142/49*T^13 + 157/49*T^12 - 110/49*T^11 + 
        75/49*T^10 - 67/49*T^9 + 27/49*T^8 + 11/7*T^7 - 183/49*T^6 + 188/49*T^5 - 
        89/49*T^4 - 50/49*T^3 + 122/49*T^2 - 15/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + X*Y^7 + X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 
        + 3*X*Y + X + 5*Y^18 + 5*Y^17 + 3*Y^16 + 2*Y^15 + 4*Y^14 + 2*Y^12 + 4*Y^11 +
        6*Y^10 + 5*Y^9 + 4*Y^8 + 5*Y^7 + 5*Y^4 + Y^2,
    -T^32 + 6/7*T^31 + T^30 - 54/49*T^29 - 23/49*T^28 + 34/49*T^27 + 11/49*T^26 - 
        36/49*T^25 + 9/49*T^24 + 16/49*T^23 - 16/49*T^22 + 2/49*T^21 + 33/49*T^20 - 
        24/49*T^19 - 18/49*T^18 + 20/49*T^17 - 20/49*T^15 + 18/49*T^14 + 24/49*T^13 
        - 33/49*T^12 - 2/49*T^11 + 16/49*T^10 - 16/49*T^9 - 9/49*T^8 + 36/49*T^7 - 
        11/49*T^6 - 34/49*T^5 + 23/49*T^4 + 54/49*T^3 - T^2 - 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 
        5*X*Y^2 + 2*X*Y + 2*X + 4*Y^18 + 6*Y^17 + 6*Y^16 + 4*Y^15 + 5*Y^14 + Y^13 + 
        6*Y^12 + 5*Y^10 + 6*Y^9 + 4*Y^7 + 6*Y^6 + 6*Y^5 + 5*Y^4 + 4*Y^2 + 5*Y,
    -T^32 - 13/7*T^31 + 10/49*T^30 + 95/49*T^29 - 34/49*T^28 - 135/49*T^27 + 
        4/49*T^26 + 83/49*T^25 - 55/49*T^24 - 86/49*T^23 + 53/49*T^22 + 60/49*T^21 -
        55/49*T^20 - 8/7*T^19 + 27/49*T^18 + 43/49*T^17 - 43/49*T^15 - 27/49*T^14 + 
        8/7*T^13 + 55/49*T^12 - 60/49*T^11 - 53/49*T^10 + 86/49*T^9 + 55/49*T^8 - 
        83/49*T^7 - 4/49*T^6 + 135/49*T^5 + 34/49*T^4 - 95/49*T^3 - 10/49*T^2 + 
        13/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + X*Y^3 + 
        4*X*Y^2 + 4*X*Y + 5*Y^18 + 4*Y^17 + Y^16 + 4*Y^15 + 3*Y^14 + 4*Y^13 + 4*Y^12
        + 5*Y^11 + 5*Y^10 + Y^9 + 6*Y^8 + 5*Y^7 + 3*Y^6 + 6*Y^4 + 5*Y^3 + 6*Y^2 + 2,
    -T^32 + T^31 + 11/49*T^30 - 62/49*T^29 + 76/49*T^28 - 38/49*T^27 + 1/49*T^26 + 
        22/49*T^25 - 52/49*T^24 + 67/49*T^23 - 59/49*T^22 + 15/49*T^21 + 50/49*T^20 
        - 88/49*T^19 + 55/49*T^18 - 9/49*T^17 + 9/49*T^15 - 55/49*T^14 + 88/49*T^13 
        - 50/49*T^12 - 15/49*T^11 + 59/49*T^10 - 67/49*T^9 + 52/49*T^8 - 22/49*T^7 -
        1/49*T^6 + 38/49*T^5 - 76/49*T^4 + 62/49*T^3 - 11/49*T^2 - T + 1
*], [*
    X^3 + 2*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + X*Y^4 + 4*X*Y^3 + 2*X*Y^2 + 2*X*Y + X + Y^18
        + Y^17 + 3*Y^16 + 4*Y^15 + Y^14 + 4*Y^13 + Y^12 + 5*Y^11 + 4*Y^10 + 4*Y^9 + 
        4*Y^6 + 4*Y^5 + 2*Y^4 + 5*Y^3 + 4*Y^2 + 4*Y,
    T^32 - 15/7*T^31 + 102/49*T^30 - 37/49*T^29 - 31/49*T^28 + 59/49*T^27 - 
        46/49*T^26 - 32/49*T^25 + 93/49*T^24 - 88/49*T^23 + 33/49*T^22 + 4/49*T^21 -
        15/49*T^20 + 4/49*T^19 + 27/49*T^18 - 45/49*T^17 + 57/49*T^16 - 45/49*T^15 +
        27/49*T^14 + 4/49*T^13 - 15/49*T^12 + 4/49*T^11 + 33/49*T^10 - 88/49*T^9 + 
        93/49*T^8 - 32/49*T^7 - 46/49*T^6 + 59/49*T^5 - 31/49*T^4 - 37/49*T^3 + 
        102/49*T^2 - 15/7*T + 1
*], [*
    X^3 + 4*X*Y^7 + 4*X*Y^5 + 3*X*Y^4 + X*Y^3 + 6*X*Y^2 + X*Y + 6*X + 4*Y^18 + 
        6*Y^15 + 5*Y^13 + 5*Y^12 + 4*Y^10 + 4*Y^9 + 3*Y^7 + 4*Y^6 + 5*Y^5 + 5*Y^4 + 
        4*Y^2 + 6,
    T^32 + 1/7*T^31 + 53/49*T^30 + 19/49*T^29 + 36/49*T^28 - 6/49*T^27 + 22/49*T^26 
        - 1/7*T^25 - 3/49*T^24 - 3/7*T^22 - 6/49*T^21 - 6/7*T^20 + 10/49*T^19 - 
        29/49*T^18 + 31/49*T^17 - 30/49*T^16 + 31/49*T^15 - 29/49*T^14 + 10/49*T^13 
        - 6/7*T^12 - 6/49*T^11 - 3/7*T^10 - 3/49*T^8 - 1/7*T^7 + 22/49*T^6 - 
        6/49*T^5 + 36/49*T^4 + 19/49*T^3 + 53/49*T^2 + 1/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + X*Y^2 + 6*X*Y + 
        4*Y^18 + 2*Y^17 + 5*Y^16 + Y^15 + 6*Y^14 + Y^12 + Y^11 + 4*Y^10 + Y^9 + 
        4*Y^8 + 4*Y^5 + 5*Y^4 + 2*Y^3 + 3*Y^2 + 5*Y + 4,
    -T^32 - 11/7*T^31 - 2/7*T^30 + 6/49*T^29 - 25/49*T^28 - 29/49*T^27 - 27/49*T^26 
        - 9/49*T^25 - 22/49*T^24 - 39/49*T^23 + 20/49*T^22 + 34/49*T^21 + 4/49*T^20 
        - 19/49*T^19 - 43/49*T^18 - 26/49*T^17 + 26/49*T^15 + 43/49*T^14 + 
        19/49*T^13 - 4/49*T^12 - 34/49*T^11 - 20/49*T^10 + 39/49*T^9 + 22/49*T^8 + 
        9/49*T^7 + 27/49*T^6 + 29/49*T^5 + 25/49*T^4 - 6/49*T^3 + 2/7*T^2 + 11/7*T +
        1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + 
        3*X*Y + 2*X + 5*Y^18 + 5*Y^17 + 2*Y^16 + 6*Y^15 + 3*Y^13 + 6*Y^12 + 3*Y^11 +
        2*Y^9 + 5*Y^8 + 4*Y^7 + 2*Y^6 + 4*Y^5 + 2*Y^4 + 4*Y^3 + 5*Y + 4,
    -T^32 + 10/7*T^31 - 5/7*T^30 + 1/49*T^29 + 4/49*T^28 + 1/49*T^27 + 8/49*T^26 - 
        5/7*T^25 + 31/49*T^24 - 4/49*T^23 + 3/49*T^22 - 11/49*T^21 + 25/49*T^20 - 
        2/7*T^19 + 4/49*T^18 - 16/49*T^17 + 16/49*T^15 - 4/49*T^14 + 2/7*T^13 - 
        25/49*T^12 + 11/49*T^11 - 3/49*T^10 + 4/49*T^9 - 31/49*T^8 + 5/7*T^7 - 
        8/49*T^6 - 1/49*T^5 - 4/49*T^4 - 1/49*T^3 + 5/7*T^2 - 10/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + X*Y + 5*X + 5*Y^18 + 6*Y^17 + 2*Y^16 + 3*Y^14 + 4*Y^13 + 2*Y^12 + 
        4*Y^11 + 4*Y^10 + 6*Y^9 + Y^8 + 3*Y^7 + 2*Y^6 + 3*Y^5 + 6*Y^3 + 5*Y,
    -T^32 + 5/7*T^31 + 16/49*T^30 - 48/49*T^29 - 10/49*T^28 + 9/7*T^27 - 11/49*T^26 
        - 12/49*T^25 - 3/49*T^24 + 30/49*T^23 - 8/49*T^22 - 6/49*T^21 + 3/49*T^20 + 
        8/49*T^19 - 11/49*T^18 + 13/49*T^17 - 13/49*T^15 + 11/49*T^14 - 8/49*T^13 - 
        3/49*T^12 + 6/49*T^11 + 8/49*T^10 - 30/49*T^9 + 3/49*T^8 + 12/49*T^7 + 
        11/49*T^6 - 9/7*T^5 + 10/49*T^4 + 48/49*T^3 - 16/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 5*X*Y^7 + X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + X*Y^3 + 4*X*Y^2 + 
        4*X*Y + X + 2*Y^18 + 5*Y^17 + Y^16 + 2*Y^15 + Y^14 + 2*Y^13 + Y^12 + 5*Y^11 
        + 4*Y^10 + 4*Y^9 + 5*Y^8 + 3*Y^7 + 4*Y^6 + 4*Y^5 + 5*Y^4 + 5*Y^3 + 2*Y^2 + 
        6*Y + 3,
    -T^32 + 1/7*T^31 + 36/49*T^30 - 2/49*T^29 - 18/49*T^28 - 11/49*T^27 + 15/49*T^24
        + 26/49*T^23 + 26/49*T^22 - 48/49*T^21 - 4/49*T^20 + 34/49*T^19 + 8/49*T^18 
        - 8/49*T^17 + 8/49*T^15 - 8/49*T^14 - 34/49*T^13 + 4/49*T^12 + 48/49*T^11 - 
        26/49*T^10 - 26/49*T^9 - 15/49*T^8 + 11/49*T^5 + 18/49*T^4 + 2/49*T^3 - 
        36/49*T^2 - 1/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 4*X*Y^6 + X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + 6*X*Y + 5*X + 
        4*Y^18 + 6*Y^17 + Y^16 + Y^15 + 3*Y^14 + 6*Y^12 + 4*Y^11 + 6*Y^10 + 4*Y^9 + 
        3*Y^6 + 4*Y^5 + 3*Y^3 + 4*Y^2 + 3*Y + 2,
    -T^32 - 1/7*T^31 + 20/49*T^30 - 38/49*T^29 + 3/7*T^28 + 37/49*T^27 - 27/49*T^26 
        + 1/7*T^25 + 17/49*T^24 - 18/49*T^23 + 47/49*T^22 + 43/49*T^21 - 13/49*T^20 
        + 5/7*T^19 + 34/49*T^18 - 37/49*T^17 + 37/49*T^15 - 34/49*T^14 - 5/7*T^13 + 
        13/49*T^12 - 43/49*T^11 - 47/49*T^10 + 18/49*T^9 - 17/49*T^8 - 1/7*T^7 + 
        27/49*T^6 - 37/49*T^5 - 3/7*T^4 + 38/49*T^3 - 20/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + X*Y^4 + 4*X*Y^3 + 3*X*Y^2 
        + 5*X*Y + 3*X + 3*Y^18 + 3*Y^17 + 4*Y^16 + Y^15 + Y^14 + 2*Y^13 + Y^12 + 
        5*Y^11 + Y^9 + Y^8 + 3*Y^7 + 5*Y^6 + Y^5 + Y^4 + 5*Y^3 + 3*Y^2 + 3*Y + 5,
    T^32 - 4/7*T^31 - 43/49*T^30 + 51/49*T^29 - 16/49*T^28 - 15/49*T^27 + 2/7*T^26 +
        9/49*T^25 + 9/49*T^24 - 29/49*T^23 + 5/49*T^22 + 24/49*T^21 - 40/49*T^19 + 
        24/49*T^18 + 31/49*T^17 - 74/49*T^16 + 31/49*T^15 + 24/49*T^14 - 40/49*T^13 
        + 24/49*T^11 + 5/49*T^10 - 29/49*T^9 + 9/49*T^8 + 9/49*T^7 + 2/7*T^6 - 
        15/49*T^5 - 16/49*T^4 + 51/49*T^3 - 43/49*T^2 - 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        2*X*Y^2 + 2*X*Y + 5*X + 4*Y^18 + 5*Y^17 + 5*Y^16 + 2*Y^15 + 6*Y^14 + 6*Y^13 
        + Y^12 + 4*Y^11 + 2*Y^10 + Y^9 + 6*Y^8 + 3*Y^6 + Y^5 + 6*Y^4 + Y^3 + 5*Y^2 +
        Y,
    -T^32 - 16/7*T^31 - 134/49*T^30 - 97/49*T^29 - 41/49*T^28 - 8/49*T^27 - 
        13/49*T^26 - 51/49*T^25 - 69/49*T^24 - 71/49*T^23 - 61/49*T^22 - 57/49*T^21 
        - 33/49*T^20 + 5/49*T^19 + 33/49*T^18 + 4/7*T^17 - 4/7*T^15 - 33/49*T^14 - 
        5/49*T^13 + 33/49*T^12 + 57/49*T^11 + 61/49*T^10 + 71/49*T^9 + 69/49*T^8 + 
        51/49*T^7 + 13/49*T^6 + 8/49*T^5 + 41/49*T^4 + 97/49*T^3 + 134/49*T^2 + 
        16/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + X*Y^4 + 5*X*Y^3 + 
        3*X*Y^2 + X*Y + 6*X + 6*Y^18 + 3*Y^17 + 2*Y^16 + 3*Y^15 + 4*Y^14 + 2*Y^11 + 
        4*Y^10 + 3*Y^9 + 6*Y^8 + 5*Y^7 + Y^6 + Y^5 + Y^4 + Y^3 + 5*Y^2 + 2*Y + 2,
    -T^32 - 4/7*T^31 + T^30 + 2/7*T^29 - 4/49*T^28 + 6/49*T^27 - 47/49*T^26 - 
        31/49*T^25 + 39/49*T^24 + 8/7*T^23 + 2/49*T^22 - 48/49*T^21 - 3/7*T^20 - 
        18/49*T^19 + 17/49*T^18 + 95/49*T^17 - 95/49*T^15 - 17/49*T^14 + 18/49*T^13 
        + 3/7*T^12 + 48/49*T^11 - 2/49*T^10 - 8/7*T^9 - 39/49*T^8 + 31/49*T^7 + 
        47/49*T^6 - 6/49*T^5 + 4/49*T^4 - 2/7*T^3 - T^2 + 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + X*Y^4 + 4*X*Y^3 + 5*X*Y^2 + 5*X*Y + 
        6*X + Y^18 + 6*Y^17 + 5*Y^16 + 4*Y^15 + 3*Y^14 + Y^13 + 3*Y^12 + 3*Y^11 + 
        2*Y^10 + 6*Y^9 + 4*Y^8 + 6*Y^7 + Y^6 + 5*Y^4 + Y^3 + 4*Y^2 + Y + 2,
    -T^32 + 5/7*T^31 + 50/49*T^30 - 69/49*T^29 + 10/49*T^28 + 80/49*T^27 - 11/7*T^26
        - 4/7*T^25 + 85/49*T^24 - 61/49*T^23 - 1/7*T^22 + 82/49*T^21 - 52/49*T^20 - 
        25/49*T^19 + 9/7*T^18 - 80/49*T^17 + 80/49*T^15 - 9/7*T^14 + 25/49*T^13 + 
        52/49*T^12 - 82/49*T^11 + 1/7*T^10 + 61/49*T^9 - 85/49*T^8 + 4/7*T^7 + 
        11/7*T^6 - 80/49*T^5 - 10/49*T^4 + 69/49*T^3 - 50/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 2*X*Y 
        + 5*Y^18 + Y^17 + Y^14 + 4*Y^13 + 5*Y^12 + Y^11 + 3*Y^10 + 2*Y^9 + 4*Y^8 + 
        6*Y^7 + 2*Y^6 + 6*Y^5 + 3*Y^4 + 3*Y^2 + 5*Y + 3,
    -T^32 + 2/7*T^30 + 10/49*T^29 + 15/49*T^28 - 6/49*T^27 + 6/49*T^26 - 5/49*T^25 -
        1/49*T^24 + 22/49*T^23 - 6/49*T^22 - 4/49*T^21 + 10/49*T^20 - 6/49*T^19 + 
        31/49*T^18 - 2/7*T^17 + 2/7*T^15 - 31/49*T^14 + 6/49*T^13 - 10/49*T^12 + 
        4/49*T^11 + 6/49*T^10 - 22/49*T^9 + 1/49*T^8 + 5/49*T^7 - 6/49*T^6 + 
        6/49*T^5 - 15/49*T^4 - 10/49*T^3 - 2/7*T^2 + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 
        3*X*Y^2 + 4*X*Y + 2*X + 6*Y^18 + 4*Y^17 + 3*Y^16 + 4*Y^15 + 2*Y^14 + 5*Y^13 
        + 6*Y^11 + 6*Y^9 + 5*Y^8 + 3*Y^7 + 6*Y^6 + 5*Y^5 + 3*Y^4 + 6*Y^3 + 6*Y^2 + 
        4*Y + 1,
    T^32 + 10/7*T^31 + 27/49*T^30 - 54/49*T^29 - 54/49*T^28 - 6/49*T^27 + 38/49*T^26
        + 34/49*T^25 + 25/49*T^24 - 9/49*T^23 - 38/49*T^22 - 5/7*T^21 + 23/49*T^20 +
        47/49*T^19 + 20/49*T^18 - 36/49*T^17 - 58/49*T^16 - 36/49*T^15 + 20/49*T^14 
        + 47/49*T^13 + 23/49*T^12 - 5/7*T^11 - 38/49*T^10 - 9/49*T^9 + 25/49*T^8 + 
        34/49*T^7 + 38/49*T^6 - 6/49*T^5 - 54/49*T^4 - 54/49*T^3 + 27/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 4*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + 
        5*X*Y + 6*X + 6*Y^18 + 3*Y^17 + 3*Y^16 + 2*Y^14 + 3*Y^13 + 2*Y^12 + 6*Y^10 +
        Y^9 + 6*Y^8 + 4*Y^6 + Y^5 + 6*Y^4 + 4*Y^2 + 5*Y,
    T^32 + 3/7*T^31 - 11/49*T^30 - 26/49*T^29 - 18/49*T^28 - 12/49*T^27 - 12/49*T^26
        + 25/49*T^25 + 12/49*T^24 - 17/49*T^23 - 1/49*T^22 + 20/49*T^21 + 24/49*T^20
        + 17/49*T^19 - 5/49*T^18 - 22/49*T^17 - 9/7*T^16 - 22/49*T^15 - 5/49*T^14 + 
        17/49*T^13 + 24/49*T^12 + 20/49*T^11 - 1/49*T^10 - 17/49*T^9 + 12/49*T^8 + 
        25/49*T^7 - 12/49*T^6 - 12/49*T^5 - 18/49*T^4 - 26/49*T^3 - 11/49*T^2 + 
        3/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + X*Y^5 + 6*X*Y^3 + X*Y^2 + 3*X*Y + 5*X + 
        3*Y^18 + 3*Y^17 + 3*Y^16 + 6*Y^15 + 2*Y^14 + Y^13 + Y^12 + 5*Y^10 + 2*Y^9 + 
        2*Y^8 + 3*Y^7 + 6*Y^6 + 5*Y^5 + 5*Y^3 + 5*Y + 1,
    -T^32 + 2*T^31 - 100/49*T^30 + 69/49*T^29 - 23/49*T^28 - 33/49*T^27 + 86/49*T^26
        - 89/49*T^25 + 54/49*T^24 - 3/49*T^23 - 52/49*T^22 + 78/49*T^21 - 55/49*T^20
        + 3/7*T^19 - 2/49*T^18 + 5/49*T^17 - 5/49*T^15 + 2/49*T^14 - 3/7*T^13 + 
        55/49*T^12 - 78/49*T^11 + 52/49*T^10 + 3/49*T^9 - 54/49*T^8 + 89/49*T^7 - 
        86/49*T^6 + 33/49*T^5 + 23/49*T^4 - 69/49*T^3 + 100/49*T^2 - 2*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^7 + 4*X*Y^6 + 6*X*Y^3 + 5*X*Y^2 + 3*X*Y + 4*X + 2*Y^18 + 
        Y^17 + 2*Y^16 + 3*Y^14 + 2*Y^13 + Y^12 + 2*Y^11 + 3*Y^10 + 5*Y^9 + 5*Y^8 + 
        4*Y^7 + 5*Y^6 + 2*Y^5 + 5*Y^4 + 3*Y^3 + Y^2 + 4*Y + 3,
    -T^32 - 3/7*T^31 + 19/49*T^30 - 4/49*T^29 + 1/7*T^28 + 4/49*T^27 + 64/49*T^26 + 
        30/49*T^25 - 48/49*T^24 - 23/49*T^23 + 13/49*T^22 + 31/49*T^21 - 10/49*T^20 
        + 8/49*T^19 + 40/49*T^18 + 50/49*T^17 - 50/49*T^15 - 40/49*T^14 - 8/49*T^13 
        + 10/49*T^12 - 31/49*T^11 - 13/49*T^10 + 23/49*T^9 + 48/49*T^8 - 30/49*T^7 -
        64/49*T^6 - 4/49*T^5 - 1/7*T^4 + 4/49*T^3 - 19/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + X*Y^3 + X*Y^2 
        + X + 6*Y^18 + Y^17 + 6*Y^16 + 4*Y^15 + Y^14 + 4*Y^13 + 5*Y^12 + Y^11 + Y^10
        + 6*Y^9 + 5*Y^8 + 2*Y^7 + 4*Y^6 + 5*Y^5 + 6*Y^4 + 4*Y^3 + Y^2 + 4*Y + 6,
    T^32 + 1/7*T^31 + 2/7*T^30 + 3/49*T^29 - 10/49*T^28 - 32/49*T^27 - 10/49*T^26 + 
        17/49*T^25 - 1/7*T^24 - 1/7*T^23 + 9/49*T^22 + 22/49*T^21 - 4/49*T^20 + 
        2/49*T^19 + 10/49*T^18 - 6/7*T^17 - 41/49*T^16 - 6/7*T^15 + 10/49*T^14 + 
        2/49*T^13 - 4/49*T^12 + 22/49*T^11 + 9/49*T^10 - 1/7*T^9 - 1/7*T^8 + 
        17/49*T^7 - 10/49*T^6 - 32/49*T^5 - 10/49*T^4 + 3/49*T^3 + 2/7*T^2 + 1/7*T +
        1
*], [*
    X^3 + 6*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 2*X*Y + 6*X + 6*Y^18 + 
        Y^17 + 4*Y^16 + 6*Y^15 + Y^14 + Y^13 + 5*Y^11 + 3*Y^10 + 4*Y^9 + 3*Y^8 + 
        4*Y^7 + 4*Y^6 + 5*Y^5 + 5*Y^4 + 2*Y^3 + 4*Y^2 + 6*Y + 5,
    -T^32 - 2/7*T^31 + 80/49*T^30 + 66/49*T^29 - 67/49*T^28 - 96/49*T^27 + 
        13/49*T^26 + 71/49*T^25 + 25/49*T^24 + 2/49*T^23 + 1/7*T^22 - 34/49*T^21 - 
        71/49*T^20 - 1/49*T^19 + 74/49*T^18 + 78/49*T^17 - 78/49*T^15 - 74/49*T^14 +
        1/49*T^13 + 71/49*T^12 + 34/49*T^11 - 1/7*T^10 - 2/49*T^9 - 25/49*T^8 - 
        71/49*T^7 - 13/49*T^6 + 96/49*T^5 + 67/49*T^4 - 66/49*T^3 - 80/49*T^2 + 
        2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 3*X*Y^3 + 6*X*Y^2 + X*Y 
        + 3*X + 6*Y^18 + 6*Y^17 + 6*Y^16 + 6*Y^15 + Y^13 + 5*Y^12 + 5*Y^11 + Y^10 + 
        4*Y^9 + 3*Y^8 + Y^7 + 6*Y^5 + 6*Y^4 + 6*Y^3 + 4*Y^2 + 2*Y + 6,
    -T^32 - 6/7*T^31 + 5/49*T^30 + 23/49*T^29 + 11/49*T^28 + 8/49*T^27 + 45/49*T^26 
        + 9/7*T^25 + 39/49*T^24 - 3/49*T^23 - 26/49*T^22 - 4/7*T^21 - 44/49*T^20 - 
        65/49*T^19 - 39/49*T^18 - 12/49*T^17 + 12/49*T^15 + 39/49*T^14 + 65/49*T^13 
        + 44/49*T^12 + 4/7*T^11 + 26/49*T^10 + 3/49*T^9 - 39/49*T^8 - 9/7*T^7 - 
        45/49*T^6 - 8/49*T^5 - 11/49*T^4 - 23/49*T^3 - 5/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        X*Y^2 + 4*X*Y + 2*X + 5*Y^18 + 4*Y^17 + Y^15 + 5*Y^14 + 4*Y^13 + 2*Y^12 + 
        Y^11 + Y^10 + 2*Y^9 + 6*Y^7 + 6*Y^6 + 6*Y^5 + Y^4 + 2*Y^3 + Y^2 + 5*Y + 6,
    -T^32 + 10/7*T^31 + 10/49*T^30 - 27/49*T^29 - 22/49*T^28 - 32/49*T^27 + 
        51/49*T^26 + 22/49*T^25 + 26/49*T^24 - 69/49*T^23 - 27/49*T^22 + 2/7*T^21 + 
        69/49*T^20 + 4/7*T^19 - 61/49*T^18 - 45/49*T^17 + 45/49*T^15 + 61/49*T^14 - 
        4/7*T^13 - 69/49*T^12 - 2/7*T^11 + 27/49*T^10 + 69/49*T^9 - 26/49*T^8 - 
        22/49*T^7 - 51/49*T^6 + 32/49*T^5 + 22/49*T^4 + 27/49*T^3 - 10/49*T^2 - 
        10/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 6*X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + 
        6*X*Y + 6*X + 3*Y^18 + 5*Y^17 + Y^16 + 3*Y^15 + 4*Y^14 + 2*Y^13 + 6*Y^12 + 
        4*Y^11 + 5*Y^10 + 6*Y^9 + 4*Y^8 + 3*Y^7 + 4*Y^6 + 6*Y^5 + 3*Y^4 + 6*Y^3 + 
        6*Y^2 + Y + 5,
    -T^32 + 2/7*T^31 + 11/49*T^30 - 6/49*T^29 + 34/49*T^28 - 12/49*T^27 - 6/49*T^26 
        + 26/49*T^25 + 5/49*T^24 + 2/7*T^23 - 8/49*T^22 - 20/49*T^21 + 18/49*T^20 + 
        5/49*T^19 - 26/49*T^18 + 11/49*T^17 - 11/49*T^15 + 26/49*T^14 - 5/49*T^13 - 
        18/49*T^12 + 20/49*T^11 + 8/49*T^10 - 2/7*T^9 - 5/49*T^8 - 26/49*T^7 + 
        6/49*T^6 + 12/49*T^5 - 34/49*T^4 + 6/49*T^3 - 11/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 6*X*Y^4 + 5*X*Y^3 + 5*X*Y^2 + 
        2*X*Y + 2*X + 4*Y^18 + 5*Y^17 + 6*Y^16 + 3*Y^15 + 4*Y^14 + Y^13 + 6*Y^12 + 
        3*Y^10 + 5*Y^9 + Y^8 + 5*Y^7 + 3*Y^6 + 5*Y^4 + Y^3 + Y^2 + 6,
    T^32 + 1/7*T^31 - 55/49*T^30 + 17/49*T^29 - 3/49*T^28 + 3/49*T^27 + 26/49*T^26 -
        39/49*T^25 + 11/49*T^24 + 10/49*T^23 - 9/49*T^22 + 24/49*T^21 - 29/49*T^20 -
        13/49*T^19 + 3/49*T^18 - 1/49*T^17 + 34/49*T^16 - 1/49*T^15 + 3/49*T^14 - 
        13/49*T^13 - 29/49*T^12 + 24/49*T^11 - 9/49*T^10 + 10/49*T^9 + 11/49*T^8 - 
        39/49*T^7 + 26/49*T^6 + 3/49*T^5 - 3/49*T^4 + 17/49*T^3 - 55/49*T^2 + 1/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 4*X*Y^4 + X*Y^3 + 2*X*Y^2 + 3*X*Y 
        + X + 4*Y^18 + 6*Y^17 + 6*Y^16 + 3*Y^14 + 3*Y^13 + 3*Y^12 + 6*Y^11 + 4*Y^10 
        + 5*Y^8 + 6*Y^7 + 4*Y^6 + 2*Y^5 + 3*Y^3 + 3*Y^2 + 3*Y + 3,
    -T^32 + 16/49*T^30 - 13/49*T^29 + 40/49*T^28 + 1/7*T^27 + 3/49*T^26 - 20/49*T^25
        + 1/7*T^23 + 3/49*T^22 + 39/49*T^21 - 13/49*T^20 + 12/49*T^19 + 1/7*T^18 - 
        19/49*T^17 + 19/49*T^15 - 1/7*T^14 - 12/49*T^13 + 13/49*T^12 - 39/49*T^11 - 
        3/49*T^10 - 1/7*T^9 + 20/49*T^7 - 3/49*T^6 - 1/7*T^5 - 40/49*T^4 + 13/49*T^3
        - 16/49*T^2 + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 
        X*Y^2 + 5*X*Y + 4*X + 5*Y^18 + 6*Y^15 + 3*Y^14 + 2*Y^13 + 3*Y^12 + Y^11 + 
        4*Y^10 + 4*Y^7 + 4*Y^6 + 5*Y^5 + 3*Y^4 + 6*Y^3 + 4*Y^2 + 3*Y + 4,
    T^32 + T^31 - 17/49*T^30 - 23/49*T^29 - 12/49*T^28 + 18/49*T^27 + 15/49*T^26 - 
        17/49*T^25 + 4/7*T^24 + T^23 + 3/7*T^22 - 22/49*T^21 - 64/49*T^20 - 
        22/49*T^19 + 3/7*T^18 + 10/49*T^17 + 3/49*T^16 + 10/49*T^15 + 3/7*T^14 - 
        22/49*T^13 - 64/49*T^12 - 22/49*T^11 + 3/7*T^10 + T^9 + 4/7*T^8 - 17/49*T^7 
        + 15/49*T^6 + 18/49*T^5 - 12/49*T^4 - 23/49*T^3 - 17/49*T^2 + T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + X*Y^7 + X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 3*X*Y + 4*X 
        + 3*Y^18 + 6*Y^17 + Y^16 + 2*Y^15 + 4*Y^14 + 4*Y^13 + 6*Y^12 + 3*Y^10 + 
        4*Y^9 + 2*Y^8 + 4*Y^6 + 6*Y^5 + 6*Y^4 + 2*Y^3 + 4*Y^2 + Y + 4,
    -T^32 + 9/7*T^31 + 8/7*T^30 - 104/49*T^29 - 32/49*T^28 + 83/49*T^27 + 17/49*T^26
        - 66/49*T^25 + 4/7*T^24 + 62/49*T^23 - 87/49*T^22 - 39/49*T^21 + 2*T^20 + 
        9/49*T^19 - 32/49*T^18 - 5/7*T^17 + 5/7*T^15 + 32/49*T^14 - 9/49*T^13 - 
        2*T^12 + 39/49*T^11 + 87/49*T^10 - 62/49*T^9 - 4/7*T^8 + 66/49*T^7 - 
        17/49*T^6 - 83/49*T^5 + 32/49*T^4 + 104/49*T^3 - 8/7*T^2 - 9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + X*Y^5 + 4*X*Y^4 + X*Y^3 + 6*X*Y^2 
        + 6*X*Y + 5*X + 6*Y^18 + 2*Y^17 + 2*Y^16 + 4*Y^15 + 3*Y^14 + 3*Y^13 + 6*Y^12
        + 6*Y^11 + 6*Y^10 + 3*Y^9 + 4*Y^8 + 5*Y^7 + 5*Y^6 + 6*Y^5 + 2*Y^4 + 6*Y^3 + 
        2*Y^2 + Y + 5,
    -T^32 - 9/7*T^31 - 10/49*T^30 - 24/49*T^29 - 38/49*T^28 + 22/49*T^27 + 
        23/49*T^26 - 39/49*T^25 - 1/49*T^24 + 52/49*T^23 - 5/49*T^22 - 16/49*T^21 + 
        33/49*T^20 + 3/49*T^19 - 19/49*T^18 + 18/49*T^17 - 18/49*T^15 + 19/49*T^14 -
        3/49*T^13 - 33/49*T^12 + 16/49*T^11 + 5/49*T^10 - 52/49*T^9 + 1/49*T^8 + 
        39/49*T^7 - 23/49*T^6 - 22/49*T^5 + 38/49*T^4 + 24/49*T^3 + 10/49*T^2 + 
        9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        4*X*Y^2 + 5*X*Y + 6*X + 2*Y^18 + 2*Y^17 + 2*Y^14 + 6*Y^13 + 5*Y^12 + 5*Y^11 
        + 3*Y^10 + Y^9 + 4*Y^8 + 2*Y^7 + 3*Y^6 + 4*Y^5 + Y^4 + Y^3 + 5*Y^2 + 5*Y + 
        5,
    T^32 - 3/7*T^31 - 39/49*T^30 + 6/49*T^29 - 2/7*T^28 + 22/49*T^27 - 2/49*T^26 - 
        38/49*T^25 + 12/49*T^24 + 41/49*T^23 - 5/49*T^22 + 3/49*T^21 + 12/49*T^20 - 
        13/49*T^19 + 24/49*T^18 - 12/49*T^17 - T^16 - 12/49*T^15 + 24/49*T^14 - 
        13/49*T^13 + 12/49*T^12 + 3/49*T^11 - 5/49*T^10 + 41/49*T^9 + 12/49*T^8 - 
        38/49*T^7 - 2/49*T^6 + 22/49*T^5 - 2/7*T^4 + 6/49*T^3 - 39/49*T^2 - 3/7*T + 
        1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^7 + X*Y^6 + 3*X*Y^5 + X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 4*X*Y + 
        3*X + Y^18 + Y^16 + 6*Y^15 + 5*Y^13 + 5*Y^12 + 4*Y^11 + 6*Y^10 + 4*Y^9 + 
        5*Y^8 + 5*Y^7 + Y^6 + Y^5 + 4*Y^3 + 5*Y + 3,
    -T^32 + 4/7*T^31 - 3/7*T^30 + 40/49*T^29 + 18/49*T^28 - 9/49*T^27 - 19/49*T^26 -
        3/49*T^25 + 1/7*T^24 + 27/49*T^23 + 3/49*T^22 - 8/49*T^21 - 24/49*T^20 - 
        1/7*T^19 + 36/49*T^18 + 8/49*T^17 - 8/49*T^15 - 36/49*T^14 + 1/7*T^13 + 
        24/49*T^12 + 8/49*T^11 - 3/49*T^10 - 27/49*T^9 - 1/7*T^8 + 3/49*T^7 + 
        19/49*T^6 + 9/49*T^5 - 18/49*T^4 - 40/49*T^3 + 3/7*T^2 - 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 4*X*Y^3 + 4*X*Y^2 + 6*X*Y + 4*X + 
        3*Y^18 + 5*Y^17 + 2*Y^16 + 4*Y^15 + Y^14 + Y^13 + 3*Y^12 + 5*Y^11 + 6*Y^10 +
        4*Y^9 + 3*Y^8 + 2*Y^7 + 6*Y^6 + 5*Y^5 + 3*Y^4 + Y^3 + 2*Y^2 + 1,
    -T^32 + 6/7*T^31 - 5/49*T^30 + 11/7*T^29 - 54/49*T^28 + 3/7*T^27 - 90/49*T^26 + 
        3/7*T^25 + 3/7*T^24 + 10/49*T^23 + 8/7*T^22 - 8/7*T^21 + 26/49*T^20 - 
        66/49*T^19 + 61/49*T^18 - 19/49*T^17 + 19/49*T^15 - 61/49*T^14 + 66/49*T^13 
        - 26/49*T^12 + 8/7*T^11 - 8/7*T^10 - 10/49*T^9 - 3/7*T^8 - 3/7*T^7 + 
        90/49*T^6 - 3/7*T^5 + 54/49*T^4 - 11/7*T^3 + 5/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 5*X*Y^3 + X*Y^2 + 5*X*Y 
        + 4*X + 2*Y^18 + 3*Y^17 + 5*Y^16 + Y^15 + 6*Y^14 + Y^13 + 6*Y^12 + 4*Y^11 + 
        Y^10 + 2*Y^9 + 4*Y^8 + Y^7 + 5*Y^6 + Y^5 + 2*Y^4 + 2*Y^3 + 4*Y^2 + 6*Y + 3,
    T^32 + 2/7*T^31 + 9/49*T^30 - 30/49*T^29 - 32/49*T^28 - 1/7*T^27 + 3/7*T^26 + 
        4/7*T^25 + 19/49*T^24 - 13/49*T^23 - 17/49*T^22 - 13/49*T^21 - 15/49*T^20 + 
        4/49*T^19 + 3/49*T^18 - 11/49*T^17 - 9/49*T^16 - 11/49*T^15 + 3/49*T^14 + 
        4/49*T^13 - 15/49*T^12 - 13/49*T^11 - 17/49*T^10 - 13/49*T^9 + 19/49*T^8 + 
        4/7*T^7 + 3/7*T^6 - 1/7*T^5 - 32/49*T^4 - 30/49*T^3 + 9/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + 5*X*Y + 3*X + 2*Y^18 + Y^17 + 3*Y^16 + 2*Y^15 + Y^14 + 4*Y^13 + 
        2*Y^12 + 5*Y^11 + 5*Y^10 + 3*Y^9 + 6*Y^8 + 3*Y^7 + Y^6 + 2*Y^5 + Y^4 + 6*Y^3
        + 6*Y^2,
    T^32 - 9/7*T^31 - 5/49*T^30 + 33/49*T^29 - 17/49*T^28 + 19/49*T^27 + 19/49*T^26 
        - 38/49*T^25 + 8/49*T^24 + 2/7*T^23 - 23/49*T^22 + 6/49*T^21 + 12/49*T^20 - 
        11/49*T^19 + 1/49*T^18 + 40/49*T^17 - 79/49*T^16 + 40/49*T^15 + 1/49*T^14 - 
        11/49*T^13 + 12/49*T^12 + 6/49*T^11 - 23/49*T^10 + 2/7*T^9 + 8/49*T^8 - 
        38/49*T^7 + 19/49*T^6 + 19/49*T^5 - 17/49*T^4 + 33/49*T^3 - 5/49*T^2 - 9/7*T
        + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 
        6*X*Y^2 + 5*X*Y + 5*X + 4*Y^18 + Y^17 + 5*Y^16 + 6*Y^15 + 2*Y^14 + 5*Y^13 + 
        2*Y^12 + 4*Y^9 + 6*Y^8 + Y^7 + Y^6 + 4*Y^5 + 6*Y^4 + 2*Y^2 + 6*Y + 2,
    -T^32 - 12/7*T^31 - 132/49*T^30 - 136/49*T^29 - 111/49*T^28 - 72/49*T^27 - 
        13/49*T^26 + 2/7*T^25 + 41/49*T^24 + 58/49*T^23 + 62/49*T^22 + 73/49*T^21 + 
        61/49*T^20 + 59/49*T^19 + 40/49*T^18 + 17/49*T^17 - 17/49*T^15 - 40/49*T^14 
        - 59/49*T^13 - 61/49*T^12 - 73/49*T^11 - 62/49*T^10 - 58/49*T^9 - 41/49*T^8 
        - 2/7*T^7 + 13/49*T^6 + 72/49*T^5 + 111/49*T^4 + 136/49*T^3 + 132/49*T^2 + 
        12/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 
        3*X*Y^2 + 5*X*Y + 5*X + 6*Y^18 + Y^17 + 4*Y^16 + 5*Y^15 + Y^14 + 4*Y^13 + 
        3*Y^12 + 3*Y^11 + 5*Y^10 + 4*Y^9 + 2*Y^7 + 5*Y^6 + 2*Y^5 + 3*Y^4 + 2*Y^3 + 
        2*Y^2 + 3*Y + 4,
    T^32 + 4/7*T^31 + 3/7*T^30 + 15/49*T^29 + 25/49*T^28 + 2/49*T^27 + 1/7*T^26 + 
        6/7*T^25 + 16/49*T^24 - 22/49*T^23 - 17/49*T^22 - 1/49*T^21 - 27/49*T^20 - 
        24/49*T^19 + 3/49*T^18 - 4/49*T^17 - 57/49*T^16 - 4/49*T^15 + 3/49*T^14 - 
        24/49*T^13 - 27/49*T^12 - 1/49*T^11 - 17/49*T^10 - 22/49*T^9 + 16/49*T^8 + 
        6/7*T^7 + 1/7*T^6 + 2/49*T^5 + 25/49*T^4 + 15/49*T^3 + 3/7*T^2 + 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + X*Y^6 + 3*X*Y^5 + X*Y^4 + 3*X*Y^3 + 2*X + 
        5*Y^18 + 6*Y^17 + 2*Y^16 + 6*Y^15 + 5*Y^14 + 6*Y^13 + 4*Y^12 + 6*Y^11 + 
        5*Y^10 + Y^9 + 6*Y^8 + Y^6 + 3*Y^4 + 2*Y^3 + 6*Y + 4,
    -T^32 - 6/7*T^31 - 29/49*T^30 - 68/49*T^29 - 79/49*T^28 - 65/49*T^27 - 
        37/49*T^26 - 44/49*T^25 + 12/49*T^24 + 15/49*T^23 + 2/7*T^22 + 57/49*T^21 + 
        54/49*T^20 + 8/7*T^19 + 20/49*T^18 + 3/7*T^17 - 3/7*T^15 - 20/49*T^14 - 
        8/7*T^13 - 54/49*T^12 - 57/49*T^11 - 2/7*T^10 - 15/49*T^9 - 12/49*T^8 + 
        44/49*T^7 + 37/49*T^6 + 65/49*T^5 + 79/49*T^4 + 68/49*T^3 + 29/49*T^2 + 
        6/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 6*X*Y^6 + 4*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 4*X*Y + 3*Y^18 +
        4*Y^17 + 5*Y^16 + 3*Y^15 + 4*Y^14 + 4*Y^13 + 6*Y^12 + 2*Y^11 + 6*Y^10 + 
        3*Y^9 + 2*Y^8 + 3*Y^7 + 5*Y^6 + 4*Y^5 + 4*Y^4 + 2*Y^3 + 3*Y^2 + 3,
    T^32 - 19/7*T^31 + 25/7*T^30 - 146/49*T^29 + 39/49*T^28 + 16/7*T^27 - 
        202/49*T^26 + 159/49*T^25 - 39/49*T^24 - 79/49*T^23 + 121/49*T^22 - 
        62/49*T^21 - 15/49*T^20 + 58/49*T^19 - 69/49*T^18 + 5/7*T^17 - 5/49*T^16 + 
        5/7*T^15 - 69/49*T^14 + 58/49*T^13 - 15/49*T^12 - 62/49*T^11 + 121/49*T^10 -
        79/49*T^9 - 39/49*T^8 + 159/49*T^7 - 202/49*T^6 + 16/7*T^5 + 39/49*T^4 - 
        146/49*T^3 + 25/7*T^2 - 19/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + X*Y^6 + 2*X*Y^4 + X*Y^3 + 6*X*Y^2 + 2*X*Y + 3*Y^18 + 
        6*Y^17 + 4*Y^16 + Y^15 + 4*Y^14 + 2*Y^13 + Y^12 + 6*Y^11 + 4*Y^10 + 6*Y^9 + 
        Y^8 + 6*Y^7 + Y^6 + 6*Y^5 + Y^4 + 4*Y^3 + 6*Y^2 + 6*Y + 1,
    -T^32 - 1/7*T^31 + 22/49*T^30 + 20/49*T^29 - 32/49*T^28 - 1/7*T^27 + 16/49*T^26 
        + 4/7*T^25 + 36/49*T^24 - 26/49*T^23 - 1/49*T^22 + 4/49*T^21 + 20/49*T^20 - 
        24/49*T^19 + 5/49*T^18 - 1/49*T^17 + 1/49*T^15 - 5/49*T^14 + 24/49*T^13 - 
        20/49*T^12 - 4/49*T^11 + 1/49*T^10 + 26/49*T^9 - 36/49*T^8 - 4/7*T^7 - 
        16/49*T^6 + 1/7*T^5 + 32/49*T^4 - 20/49*T^3 - 22/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^7 + 4*X*Y^6 + X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + X*Y^2 + 4*X*Y + 
        6*X + 4*Y^18 + Y^17 + 4*Y^16 + 3*Y^15 + 5*Y^14 + 6*Y^13 + 6*Y^12 + 2*Y^11 + 
        2*Y^10 + 4*Y^8 + 5*Y^7 + 2*Y^6 + 4*Y^5 + 3*Y^4 + 2*Y^3 + 4*Y + 2,
    -T^32 - 11/7*T^31 - 18/49*T^30 + 43/49*T^29 + 5/7*T^28 - 5/49*T^27 - 4/49*T^26 +
        1/49*T^25 - 44/49*T^24 - 54/49*T^23 + 19/49*T^21 - 9/49*T^20 - 2/7*T^19 + 
        33/49*T^18 + 50/49*T^17 - 50/49*T^15 - 33/49*T^14 + 2/7*T^13 + 9/49*T^12 - 
        19/49*T^11 + 54/49*T^9 + 44/49*T^8 - 1/49*T^7 + 4/49*T^6 + 5/49*T^5 - 
        5/7*T^4 - 43/49*T^3 + 18/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 5*X*Y^3 + 5*X*Y^2 + 3*X*Y + 3*X + 
        4*Y^18 + Y^17 + 2*Y^16 + 4*Y^15 + 3*Y^14 + 5*Y^13 + Y^12 + 3*Y^11 + 5*Y^8 + 
        Y^7 + Y^6 + 6*Y^5 + Y^4 + 3*Y^3 + Y^2 + 2*Y + 6,
    T^32 + 8/7*T^31 + 82/49*T^30 + 62/49*T^29 + 4/49*T^28 - 9/49*T^27 - 8/7*T^26 - 
        58/49*T^25 - 47/49*T^24 - 57/49*T^23 - 61/49*T^22 - 59/49*T^21 - 58/49*T^20 
        - 5/49*T^19 + 41/49*T^18 + 73/49*T^17 + 102/49*T^16 + 73/49*T^15 + 
        41/49*T^14 - 5/49*T^13 - 58/49*T^12 - 59/49*T^11 - 61/49*T^10 - 57/49*T^9 - 
        47/49*T^8 - 58/49*T^7 - 8/7*T^6 - 9/49*T^5 + 4/49*T^4 + 62/49*T^3 + 
        82/49*T^2 + 8/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + X*Y^7 + X*Y^5 + X*Y^3 + 4*X*Y^2 + 5*X*Y + 5*X + 2*Y^18 +
        2*Y^17 + 2*Y^16 + 5*Y^15 + 2*Y^14 + 3*Y^13 + 3*Y^12 + 4*Y^11 + 4*Y^10 + 
        5*Y^9 + 4*Y^7 + 3*Y^6 + 6*Y^5 + 5*Y^4 + 2*Y^3 + 3*Y + 5,
    T^32 + 3/7*T^31 - 74/49*T^30 - 3/49*T^29 + 73/49*T^28 - 19/49*T^27 - 72/49*T^26 
        + 31/49*T^25 + 58/49*T^24 - 5/7*T^23 - 19/49*T^22 + 29/49*T^21 - 32/49*T^20 
        - 18/49*T^19 + 6/7*T^18 + 6/49*T^17 - 25/49*T^16 + 6/49*T^15 + 6/7*T^14 - 
        18/49*T^13 - 32/49*T^12 + 29/49*T^11 - 19/49*T^10 - 5/7*T^9 + 58/49*T^8 + 
        31/49*T^7 - 72/49*T^6 - 19/49*T^5 + 73/49*T^4 - 3/49*T^3 - 74/49*T^2 + 3/7*T
        + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^7 + 6*X*Y^6 + 6*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 2*X*Y + 4*X + 
        4*Y^18 + 2*Y^17 + Y^16 + 5*Y^15 + Y^14 + 3*Y^13 + 4*Y^12 + 5*Y^11 + 3*Y^10 +
        6*Y^8 + Y^7 + 2*Y^6 + 5*Y^5 + 5*Y^4 + 6*Y^2 + Y + 1,
    T^32 + 10/7*T^31 + 8/7*T^30 + 17/49*T^29 - 65/49*T^28 - 113/49*T^27 - 
        100/49*T^26 - 73/49*T^25 + 5/49*T^24 + 9/7*T^23 + 78/49*T^22 + 80/49*T^21 + 
        52/49*T^20 + 1/7*T^19 - 30/49*T^18 - 59/49*T^17 - 10/7*T^16 - 59/49*T^15 - 
        30/49*T^14 + 1/7*T^13 + 52/49*T^12 + 80/49*T^11 + 78/49*T^10 + 9/7*T^9 + 
        5/49*T^8 - 73/49*T^7 - 100/49*T^6 - 113/49*T^5 - 65/49*T^4 + 17/49*T^3 + 
        8/7*T^2 + 10/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 6*X*Y + 5*X + 
        5*Y^18 + 4*Y^17 + 2*Y^16 + Y^15 + 6*Y^14 + Y^13 + Y^12 + 6*Y^10 + Y^9 + 
        3*Y^7 + Y^6 + Y^4 + Y^3 + 6*Y + 2,
    -T^32 - 1/7*T^31 + 12/49*T^30 + 6/49*T^29 - 3/49*T^28 + 38/49*T^27 - 8/49*T^26 -
        32/49*T^25 - 23/49*T^24 + 27/49*T^23 + 2/7*T^22 + 33/49*T^21 + 19/49*T^20 + 
        3/49*T^19 - 4/7*T^18 - 4/7*T^17 + 4/7*T^15 + 4/7*T^14 - 3/49*T^13 - 
        19/49*T^12 - 33/49*T^11 - 2/7*T^10 - 27/49*T^9 + 23/49*T^8 + 32/49*T^7 + 
        8/49*T^6 - 38/49*T^5 + 3/49*T^4 - 6/49*T^3 - 12/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 3*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 3*X*Y^2 + 
        4*X*Y + 5*X + 4*Y^18 + Y^17 + 4*Y^16 + 4*Y^15 + 4*Y^14 + Y^13 + 3*Y^12 + 
        3*Y^11 + Y^10 + 2*Y^9 + 6*Y^7 + 2*Y^6 + 6*Y^3 + 4*Y + 1,
    T^32 - 1/7*T^31 + 19/49*T^30 + 2/7*T^29 + 29/49*T^28 - 1/49*T^27 - 1/49*T^26 + 
        23/49*T^25 - 2/7*T^24 + 6/49*T^23 + 16/49*T^21 - 2/7*T^20 + 1/7*T^19 + 
        6/49*T^18 + 2/49*T^17 - 12/49*T^16 + 2/49*T^15 + 6/49*T^14 + 1/7*T^13 - 
        2/7*T^12 + 16/49*T^11 + 6/49*T^9 - 2/7*T^8 + 23/49*T^7 - 1/49*T^6 - 1/49*T^5
        + 29/49*T^4 + 2/7*T^3 + 19/49*T^2 - 1/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + X*Y^4 + 4*X*Y^3 + 3*X*Y^2 + 2*X*Y + 
        4*Y^18 + 2*Y^17 + Y^15 + 2*Y^14 + 2*Y^13 + 2*Y^12 + 3*Y^11 + Y^10 + 6*Y^9 + 
        3*Y^8 + 4*Y^7 + 5*Y^6 + 6*Y^5 + 5*Y^4 + 4*Y^3 + 2*Y^2 + 5*Y + 1,
    T^32 - 39/49*T^30 - 8/49*T^29 - 12/49*T^28 + 10/49*T^27 + 2/7*T^26 + 15/49*T^25 
        - 12/49*T^24 - 8/49*T^23 + 1/49*T^22 - 11/49*T^21 + 26/49*T^20 + 3/7*T^19 - 
        3/49*T^18 - 15/49*T^17 - 31/49*T^16 - 15/49*T^15 - 3/49*T^14 + 3/7*T^13 + 
        26/49*T^12 - 11/49*T^11 + 1/49*T^10 - 8/49*T^9 - 12/49*T^8 + 15/49*T^7 + 
        2/7*T^6 + 10/49*T^5 - 12/49*T^4 - 8/49*T^3 - 39/49*T^2 + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + X*Y^4 + 2*X*Y^3 + 
        4*X*Y^2 + X*Y + 3*X + 5*Y^18 + Y^17 + 6*Y^16 + 2*Y^15 + 3*Y^14 + 6*Y^13 + 
        2*Y^12 + Y^11 + 4*Y^10 + 5*Y^9 + Y^8 + 2*Y^7 + Y^6 + Y^5 + 2*Y^4 + 3*Y^3 + 
        2*Y,
    -T^32 + 9/7*T^31 + 8/49*T^30 - 65/49*T^29 + 4/7*T^28 + 62/49*T^27 - 39/49*T^26 -
        65/49*T^25 + 13/7*T^24 - 17/49*T^23 - 86/49*T^22 + 74/49*T^21 + 39/49*T^20 -
        8/7*T^19 - 53/49*T^18 + 128/49*T^17 - 128/49*T^15 + 53/49*T^14 + 8/7*T^13 - 
        39/49*T^12 - 74/49*T^11 + 86/49*T^10 + 17/49*T^9 - 13/7*T^8 + 65/49*T^7 + 
        39/49*T^6 - 62/49*T^5 - 4/7*T^4 + 65/49*T^3 - 8/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 4*X*Y^7 + 2*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 5*X*Y + 2*X + 
        4*Y^18 + 3*Y^16 + 5*Y^15 + 4*Y^13 + 4*Y^12 + 5*Y^11 + 6*Y^10 + 6*Y^9 + 6*Y^8
        + 4*Y^7 + 3*Y^6 + 4*Y^5 + 2*Y^4 + Y^3 + 6*Y + 3,
    T^32 + T^31 + 48/49*T^30 + 34/49*T^29 - 19/49*T^28 - 8/49*T^27 - 2/7*T^26 - 
        8/49*T^25 + 36/49*T^24 + 31/49*T^23 + 8/49*T^22 - 44/49*T^20 - 24/49*T^19 - 
        3/7*T^18 - 39/49*T^17 - 12/49*T^16 - 39/49*T^15 - 3/7*T^14 - 24/49*T^13 - 
        44/49*T^12 + 8/49*T^10 + 31/49*T^9 + 36/49*T^8 - 8/49*T^7 - 2/7*T^6 - 
        8/49*T^5 - 19/49*T^4 + 34/49*T^3 + 48/49*T^2 + T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 5*X*Y + Y^18 +
        4*Y^17 + 5*Y^15 + 4*Y^14 + 3*Y^13 + 5*Y^12 + 5*Y^11 + 4*Y^10 + 3*Y^9 + 4*Y^8
        + 2*Y^7 + 3*Y^6 + Y^5 + 3*Y^4 + Y^3 + 3*Y^2 + 2*Y + 6,
    T^32 + 11/7*T^31 + 31/49*T^30 + 29/49*T^29 + 38/49*T^28 + 8/49*T^27 - 32/49*T^26
        - 30/49*T^25 + 8/49*T^24 - 3/7*T^23 - 22/49*T^22 + 4/7*T^21 + 4/49*T^20 - 
        8/49*T^19 - 9/49*T^18 - 34/49*T^17 - 36/49*T^16 - 34/49*T^15 - 9/49*T^14 - 
        8/49*T^13 + 4/49*T^12 + 4/7*T^11 - 22/49*T^10 - 3/7*T^9 + 8/49*T^8 - 
        30/49*T^7 - 32/49*T^6 + 8/49*T^5 + 38/49*T^4 + 29/49*T^3 + 31/49*T^2 + 
        11/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 2*X*Y^2 + 4*X*Y + 5*X + 
        3*Y^18 + Y^17 + Y^16 + 6*Y^14 + 4*Y^13 + 2*Y^12 + 5*Y^11 + 4*Y^10 + 6*Y^9 + 
        Y^8 + Y^7 + 3*Y^6 + 4*Y^5 + 2*Y^4 + 2*Y^3 + 3*Y^2 + 4*Y + 6,
    T^32 - 8/7*T^31 - 41/49*T^30 + 80/49*T^29 - 1/49*T^28 - 33/49*T^27 - 5/49*T^26 +
        24/49*T^25 - 27/49*T^24 + 1/49*T^23 + 64/49*T^22 - 51/49*T^21 - 30/49*T^20 +
        33/49*T^19 + 20/49*T^18 + 6/49*T^17 - 41/49*T^16 + 6/49*T^15 + 20/49*T^14 + 
        33/49*T^13 - 30/49*T^12 - 51/49*T^11 + 64/49*T^10 + 1/49*T^9 - 27/49*T^8 + 
        24/49*T^7 - 5/49*T^6 - 33/49*T^5 - 1/49*T^4 + 80/49*T^3 - 41/49*T^2 - 8/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + X*Y^7 + X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + X*Y + 
        4*X + 6*Y^18 + 4*Y^17 + 4*Y^16 + Y^15 + 5*Y^13 + 3*Y^12 + 5*Y^11 + 6*Y^10 + 
        2*Y^9 + Y^8 + 4*Y^7 + Y^6 + 2*Y^5 + 3*Y^4 + Y^2 + 5*Y,
    T^32 + 9/7*T^31 - 1/7*T^30 + 8/49*T^29 + 78/49*T^28 + 4/7*T^27 - 52/49*T^26 + 
        26/49*T^25 + 79/49*T^24 - 20/49*T^23 - 27/49*T^22 + 4/7*T^21 - 23/49*T^20 - 
        67/49*T^19 - 8/49*T^18 - 18/49*T^17 - 78/49*T^16 - 18/49*T^15 - 8/49*T^14 - 
        67/49*T^13 - 23/49*T^12 + 4/7*T^11 - 27/49*T^10 - 20/49*T^9 + 79/49*T^8 + 
        26/49*T^7 - 52/49*T^6 + 4/7*T^5 + 78/49*T^4 + 8/49*T^3 - 1/7*T^2 + 9/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 
        6*X*Y^2 + 3*X*Y + 3*X + 6*Y^18 + 2*Y^16 + 4*Y^15 + 4*Y^14 + 5*Y^13 + Y^12 + 
        4*Y^11 + 4*Y^9 + 3*Y^8 + Y^7 + 2*Y^6 + 4*Y^5 + 4*Y^4 + 5*Y^3 + 3*Y^2 + 2*Y +
        2,
    -T^32 - 12/7*T^31 - 27/49*T^30 + 26/49*T^29 + 9/49*T^28 - 13/49*T^27 + 
        11/49*T^26 + 40/49*T^25 + 25/49*T^24 + 15/49*T^23 + 55/49*T^22 + 68/49*T^21 
        + 24/49*T^20 + 29/49*T^18 + 51/49*T^17 - 51/49*T^15 - 29/49*T^14 - 
        24/49*T^12 - 68/49*T^11 - 55/49*T^10 - 15/49*T^9 - 25/49*T^8 - 40/49*T^7 - 
        11/49*T^6 + 13/49*T^5 - 9/49*T^4 - 26/49*T^3 + 27/49*T^2 + 12/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 
        4*X*Y^2 + 5*X*Y + 5*X + 3*Y^18 + Y^17 + 4*Y^16 + 6*Y^15 + 6*Y^14 + 5*Y^13 + 
        2*Y^11 + 4*Y^10 + 6*Y^9 + 2*Y^8 + 6*Y^7 + Y^6 + 4*Y^5 + 5*Y^4 + 4*Y^3 + Y^2 
        + 3*Y + 1,
    -T^32 + 10/7*T^31 - 30/49*T^30 - 43/49*T^29 + 80/49*T^28 - 68/49*T^27 + 6/7*T^26
        + 37/49*T^25 - 101/49*T^24 + 17/7*T^23 - 55/49*T^22 - 34/49*T^21 + 
        68/49*T^20 - 59/49*T^19 + 26/49*T^18 - 20/49*T^17 + 20/49*T^15 - 26/49*T^14 
        + 59/49*T^13 - 68/49*T^12 + 34/49*T^11 + 55/49*T^10 - 17/7*T^9 + 101/49*T^8 
        - 37/49*T^7 - 6/7*T^6 + 68/49*T^5 - 80/49*T^4 + 43/49*T^3 + 30/49*T^2 - 
        10/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + X*Y^7 + 6*X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + 4*X*Y^2 + 2*X*Y 
        + 4*Y^18 + 6*Y^17 + 5*Y^16 + 2*Y^14 + 3*Y^12 + 2*Y^11 + 5*Y^9 + 6*Y^8 + 
        6*Y^7 + 4*Y^6 + 3*Y^5 + 5*Y^4 + 3*Y^3 + 5*Y^2 + 3*Y + 4,
    T^32 + T^31 + 45/49*T^30 + 37/49*T^29 + 1/7*T^28 + 10/49*T^27 - 8/49*T^26 + 
        5/49*T^25 - 2/49*T^24 - 3/49*T^23 + 2/7*T^22 + 9/49*T^21 + 3/49*T^20 - 
        30/49*T^19 - 43/49*T^18 - 59/49*T^17 - 85/49*T^16 - 59/49*T^15 - 43/49*T^14 
        - 30/49*T^13 + 3/49*T^12 + 9/49*T^11 + 2/7*T^10 - 3/49*T^9 - 2/49*T^8 + 
        5/49*T^7 - 8/49*T^6 + 10/49*T^5 + 1/7*T^4 + 37/49*T^3 + 45/49*T^2 + T + 1
*], [*
    X^3 + 2*X*Y^8 + X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + X*Y^3 + 4*X*Y^2 + X + 
        3*Y^18 + Y^17 + Y^16 + 6*Y^15 + 2*Y^14 + 5*Y^13 + 6*Y^12 + 5*Y^11 + 4*Y^10 +
        2*Y^8 + 3*Y^7 + 3*Y^6 + 2*Y^5 + 6*Y^4 + 2*Y^3 + 4*Y^2 + 4,
    -T^32 + 6/7*T^31 + 5/49*T^30 + 2/49*T^29 - 22/49*T^28 - 1/49*T^27 + 22/49*T^26 -
        3/7*T^25 + 5/49*T^24 - 18/49*T^23 + 47/49*T^22 - 12/49*T^21 + 13/49*T^20 - 
        29/49*T^19 + 3/7*T^18 - 12/49*T^17 + 12/49*T^15 - 3/7*T^14 + 29/49*T^13 - 
        13/49*T^12 + 12/49*T^11 - 47/49*T^10 + 18/49*T^9 - 5/49*T^8 + 3/7*T^7 - 
        22/49*T^6 + 1/49*T^5 + 22/49*T^4 - 2/49*T^3 - 5/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + X*Y^5 + 2*X*Y^4 + X*Y^3 + 3*X*Y^2 
        + 2*X*Y + 6*X + 5*Y^18 + 3*Y^17 + 5*Y^16 + 5*Y^15 + 5*Y^14 + Y^12 + 3*Y^11 +
        5*Y^10 + 2*Y^9 + Y^8 + 3*Y^7 + 3*Y^6 + 6*Y^5 + 5*Y^4 + 4*Y^3 + 3,
    -T^32 - 2/7*T^31 + 22/49*T^30 + 31/49*T^29 + 2/7*T^28 - 30/49*T^27 - 31/49*T^26 
        + 16/49*T^24 - 20/49*T^23 - 15/49*T^22 - 5/49*T^21 + 16/49*T^20 + 13/49*T^19
        - 1/49*T^18 - 6/49*T^17 + 6/49*T^15 + 1/49*T^14 - 13/49*T^13 - 16/49*T^12 + 
        5/49*T^11 + 15/49*T^10 + 20/49*T^9 - 16/49*T^8 + 31/49*T^6 + 30/49*T^5 - 
        2/7*T^4 - 31/49*T^3 - 22/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + X*Y^3 + X*Y^2 + 5*X + 
        Y^18 + Y^17 + 4*Y^14 + Y^13 + 4*Y^12 + 5*Y^11 + 2*Y^10 + 4*Y^9 + Y^8 + 5*Y^7
        + 3*Y^6 + 2*Y^5 + 4*Y^4 + Y^3 + 6*Y^2 + 3*Y,
    T^32 - T^31 + 13/49*T^30 + 8/49*T^29 + 1/7*T^28 - 1/49*T^27 - 39/49*T^26 + 
        3/7*T^25 + 4/49*T^24 - 3/7*T^23 + 19/49*T^22 - 25/49*T^21 + 22/49*T^20 - 
        15/49*T^19 + 12/49*T^18 + 1/49*T^17 - 12/49*T^16 + 1/49*T^15 + 12/49*T^14 - 
        15/49*T^13 + 22/49*T^12 - 25/49*T^11 + 19/49*T^10 - 3/7*T^9 + 4/49*T^8 + 
        3/7*T^7 - 39/49*T^6 - 1/49*T^5 + 1/7*T^4 + 8/49*T^3 + 13/49*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        4*X*Y^2 + 6*X*Y + X + 5*Y^18 + 6*Y^17 + 2*Y^16 + 2*Y^15 + 2*Y^14 + 6*Y^13 + 
        3*Y^12 + 5*Y^11 + 3*Y^10 + 4*Y^9 + 4*Y^8 + Y^7 + 5*Y^6 + 6*Y^5 + 2*Y^4 + 
        3*Y^3 + 2*Y^2 + Y + 6,
    T^32 - 3/7*T^31 - T^30 + 31/49*T^29 - 30/49*T^28 + 25/49*T^27 + 17/49*T^26 - 
        31/49*T^25 + 65/49*T^24 - 55/49*T^23 - 41/49*T^22 + 53/49*T^21 - 25/49*T^20 
        + 50/49*T^19 - 1/7*T^18 - 50/49*T^17 + 47/49*T^16 - 50/49*T^15 - 1/7*T^14 + 
        50/49*T^13 - 25/49*T^12 + 53/49*T^11 - 41/49*T^10 - 55/49*T^9 + 65/49*T^8 - 
        31/49*T^7 + 17/49*T^6 + 25/49*T^5 - 30/49*T^4 + 31/49*T^3 - T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 6*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + X*Y^2 + 3*X*Y + 6*X + 
        2*Y^18 + 4*Y^16 + 5*Y^15 + 5*Y^14 + Y^13 + 5*Y^12 + 4*Y^11 + 4*Y^9 + 3*Y^8 +
        6*Y^6 + 5*Y^5 + 5*Y^3 + Y^2 + 3*Y + 6,
    -T^32 - 2/7*T^31 + 97/49*T^30 + 41/49*T^29 - 16/7*T^28 - 93/49*T^27 + 65/49*T^26
        + 134/49*T^25 + 22/49*T^24 - 130/49*T^23 - 13/7*T^22 + 64/49*T^21 + 
        127/49*T^20 + 25/49*T^19 - 12/7*T^18 - 95/49*T^17 + 95/49*T^15 + 12/7*T^14 -
        25/49*T^13 - 127/49*T^12 - 64/49*T^11 + 13/7*T^10 + 130/49*T^9 - 22/49*T^8 -
        134/49*T^7 - 65/49*T^6 + 93/49*T^5 + 16/7*T^4 - 41/49*T^3 - 97/49*T^2 + 
        2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + X*Y^6 + X*Y^5 + 2*X*Y^4 + 6*X*Y^2 + 5*X*Y + 
        4*X + Y^18 + 5*Y^17 + 6*Y^16 + 2*Y^15 + 5*Y^14 + 3*Y^13 + 4*Y^12 + 6*Y^11 + 
        3*Y^10 + 2*Y^9 + 5*Y^8 + Y^7 + 3*Y^6 + 6*Y^5 + 3*Y^4 + 4*Y^3 + 5*Y^2 + 5*Y +
        3,
    -T^32 + T^31 + 5/49*T^30 - 4/7*T^29 + 23/49*T^28 - 20/49*T^27 - 1/49*T^26 + 
        3/7*T^25 + 2/7*T^24 - 6/49*T^23 - 12/49*T^22 - 32/49*T^21 + 60/49*T^20 - 
        15/49*T^19 - 3/7*T^18 + 12/49*T^17 - 12/49*T^15 + 3/7*T^14 + 15/49*T^13 - 
        60/49*T^12 + 32/49*T^11 + 12/49*T^10 + 6/49*T^9 - 2/7*T^8 - 3/7*T^7 + 
        1/49*T^6 + 20/49*T^5 - 23/49*T^4 + 4/7*T^3 - 5/49*T^2 - T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + X*Y^5 + 2*X*Y^3 + 2*X*Y^2 + 4*X*Y 
        + 2*X + 4*Y^18 + 3*Y^16 + 6*Y^15 + 3*Y^13 + 2*Y^12 + 3*Y^11 + 6*Y^10 + 6*Y^9
        + Y^8 + 4*Y^7 + 3*Y^6 + 6*Y^4 + 3*Y^3 + 6*Y^2 + 3,
    -T^32 - 6/7*T^31 + 44/49*T^30 + 75/49*T^29 + 22/49*T^28 - 12/49*T^27 - 2/49*T^26
        - 17/49*T^25 - 20/49*T^24 + 4/49*T^23 - 2/49*T^22 - 4/7*T^21 + 8/49*T^20 + 
        38/49*T^19 - 10/49*T^18 - 60/49*T^17 + 60/49*T^15 + 10/49*T^14 - 38/49*T^13 
        - 8/49*T^12 + 4/7*T^11 + 2/49*T^10 - 4/49*T^9 + 20/49*T^8 + 17/49*T^7 + 
        2/49*T^6 + 12/49*T^5 - 22/49*T^4 - 75/49*T^3 - 44/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 2*X*Y^2 + 3*X*Y + 6*X + 
        2*Y^18 + Y^17 + 4*Y^16 + 6*Y^15 + 2*Y^14 + 5*Y^13 + 3*Y^11 + Y^10 + 2*Y^9 + 
        Y^8 + 2*Y^7 + Y^6 + 2*Y^5 + 6*Y^4 + 5*Y^3 + 6*Y^2 + 2*Y + 5,
    -T^32 + 3/7*T^31 + 76/49*T^30 + 4/49*T^29 - 71/49*T^28 - 39/49*T^27 + 37/49*T^26
        + 67/49*T^25 - 3/7*T^24 - 71/49*T^23 + 12/49*T^22 + 76/49*T^21 + 9/49*T^20 -
        T^19 - 15/49*T^18 + 8/49*T^17 - 8/49*T^15 + 15/49*T^14 + T^13 - 9/49*T^12 - 
        76/49*T^11 - 12/49*T^10 + 71/49*T^9 + 3/7*T^8 - 67/49*T^7 - 37/49*T^6 + 
        39/49*T^5 + 71/49*T^4 - 4/49*T^3 - 76/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 
        6*X*Y + 6*X + 4*Y^18 + 3*Y^17 + 2*Y^16 + 4*Y^15 + 4*Y^14 + 3*Y^13 + Y^12 + 
        2*Y^11 + Y^10 + 4*Y^9 + 6*Y^8 + 6*Y^7 + Y^6 + 5*Y^5 + 5*Y^4 + 3*Y^3 + 4*Y^2 
        + 4*Y + 2,
    -T^32 - 8/7*T^31 - 6/7*T^30 - 25/49*T^29 - 4/49*T^28 + 5/49*T^27 + 8/49*T^26 - 
        18/49*T^25 - 29/49*T^24 - 27/49*T^23 - 51/49*T^22 - 34/49*T^21 - 17/49*T^20 
        + 2/49*T^19 + 3/7*T^18 + 29/49*T^17 - 29/49*T^15 - 3/7*T^14 - 2/49*T^13 + 
        17/49*T^12 + 34/49*T^11 + 51/49*T^10 + 27/49*T^9 + 29/49*T^8 + 18/49*T^7 - 
        8/49*T^6 - 5/49*T^5 + 4/49*T^4 + 25/49*T^3 + 6/7*T^2 + 8/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^7 + 4*X*Y^5 + 3*X*Y^3 + X*Y^2 + X*Y + 5*X + 6*Y^18 + Y^17 + 
        3*Y^14 + 5*Y^13 + 5*Y^11 + 4*Y^10 + 2*Y^9 + 5*Y^7 + 4*Y^6 + 6*Y^5 + 5*Y^4 + 
        2*Y^3 + 6*Y^2 + 6*Y + 2,
    T^32 + 2/7*T^31 - 4/49*T^30 + 23/49*T^29 - 9/49*T^28 - 17/49*T^26 - 57/49*T^25 -
        6/49*T^24 + 27/49*T^23 + 15/49*T^22 + 6/49*T^20 + 12/49*T^19 + 3/7*T^18 - 
        26/49*T^17 - 60/49*T^16 - 26/49*T^15 + 3/7*T^14 + 12/49*T^13 + 6/49*T^12 + 
        15/49*T^10 + 27/49*T^9 - 6/49*T^8 - 57/49*T^7 - 17/49*T^6 - 9/49*T^4 + 
        23/49*T^3 - 4/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^6 + X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + 6*X*Y + X + 
        2*Y^18 + 4*Y^17 + Y^16 + 2*Y^15 + 2*Y^14 + 4*Y^13 + 6*Y^12 + 5*Y^11 + 5*Y^9 
        + Y^8 + Y^6 + Y^3 + 2*Y^2 + Y + 4,
    T^32 - 23/49*T^30 + 38/49*T^29 - 37/49*T^28 - 22/49*T^27 + 3/7*T^26 - 2/7*T^24 -
        13/49*T^23 - 5/49*T^22 + 2/49*T^21 - 24/49*T^20 - 20/49*T^19 + 27/49*T^18 + 
        15/49*T^17 + 12/49*T^16 + 15/49*T^15 + 27/49*T^14 - 20/49*T^13 - 24/49*T^12 
        + 2/49*T^11 - 5/49*T^10 - 13/49*T^9 - 2/7*T^8 + 3/7*T^6 - 22/49*T^5 - 
        37/49*T^4 + 38/49*T^3 - 23/49*T^2 + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + X*Y^7 + X*Y^6 + X*Y^5 + 4*X*Y^2 + X*Y + 5*X + 4*Y^18 +
        4*Y^17 + 3*Y^16 + 3*Y^15 + 6*Y^14 + 2*Y^13 + 5*Y^12 + 5*Y^10 + 5*Y^9 + 2*Y^8
        + Y^7 + 2*Y^6 + Y^5 + 4*Y^4 + 3*Y^3 + 2*Y^2 + 4*Y + 2,
    T^32 - 61/49*T^30 - 13/49*T^29 - 11/49*T^28 - 5/49*T^27 + 3/7*T^26 + 8/49*T^25 +
        30/49*T^24 + 43/49*T^23 - 20/49*T^22 - 37/49*T^21 - 9/49*T^20 - 15/49*T^19 +
        6/49*T^18 + 16/49*T^17 + 16/49*T^15 + 6/49*T^14 - 15/49*T^13 - 9/49*T^12 - 
        37/49*T^11 - 20/49*T^10 + 43/49*T^9 + 30/49*T^8 + 8/49*T^7 + 3/7*T^6 - 
        5/49*T^5 - 11/49*T^4 - 13/49*T^3 - 61/49*T^2 + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + X*Y^7 + 6*X*Y^5 + 4*X*Y^3 + X*Y + 3*X + 6*Y^18 + 2*Y^17 + 
        3*Y^16 + 2*Y^15 + 5*Y^14 + 6*Y^12 + Y^11 + 3*Y^10 + Y^9 + 4*Y^8 + 3*Y^7 + 
        5*Y^6 + 4*Y^5 + 6*Y^4 + 3*Y^3 + Y^2 + Y + 6,
    T^32 + 16/7*T^31 + 151/49*T^30 + 151/49*T^29 + 104/49*T^28 + 55/49*T^27 - 
        5/49*T^26 - 6/7*T^25 - 51/49*T^24 - 46/49*T^23 - 8/49*T^22 + 33/49*T^21 + 
        97/49*T^20 + 131/49*T^19 + 148/49*T^18 + 156/49*T^17 + 139/49*T^16 + 
        156/49*T^15 + 148/49*T^14 + 131/49*T^13 + 97/49*T^12 + 33/49*T^11 - 
        8/49*T^10 - 46/49*T^9 - 51/49*T^8 - 6/7*T^7 - 5/49*T^6 + 55/49*T^5 + 
        104/49*T^4 + 151/49*T^3 + 151/49*T^2 + 16/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + X*Y^4 + 2*X*Y^3 + 6*X*Y^2 
        + 5*X + 4*Y^18 + Y^17 + 3*Y^16 + 5*Y^15 + 6*Y^14 + 3*Y^13 + 6*Y^12 + 3*Y^10 
        + 6*Y^9 + 5*Y^8 + 3*Y^7 + Y^5 + 6*Y^4 + Y^3 + 5*Y^2 + 6*Y + 3,
    T^32 + 10/7*T^31 + 8/49*T^30 - 15/49*T^29 + 24/49*T^28 + 25/49*T^27 - 23/49*T^26
        - 54/49*T^25 - 13/49*T^24 + 18/49*T^23 - 20/49*T^22 - 43/49*T^21 - 4/7*T^20 
        - 6/49*T^19 + 18/49*T^18 + 5/49*T^17 - 2/7*T^16 + 5/49*T^15 + 18/49*T^14 - 
        6/49*T^13 - 4/7*T^12 - 43/49*T^11 - 20/49*T^10 + 18/49*T^9 - 13/49*T^8 - 
        54/49*T^7 - 23/49*T^6 + 25/49*T^5 + 24/49*T^4 - 15/49*T^3 + 8/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + 5*X*Y^5 + 3*X*Y^4 + X*Y^3 + 2*X*Y^2 + 2*X*Y 
        + 3*Y^18 + Y^17 + 5*Y^16 + 4*Y^15 + 6*Y^14 + Y^13 + 4*Y^12 + 6*Y^10 + 6*Y^9 
        + 4*Y^8 + 4*Y^7 + 6*Y^6 + 6*Y^5 + 4*Y^4 + 4*Y^3 + Y^2 + 6*Y + 4,
    -T^32 + 2/7*T^31 + 34/49*T^30 - 58/49*T^29 - 5/49*T^28 + 65/49*T^27 - 25/49*T^26
        - 31/49*T^25 + 22/49*T^24 - 9/49*T^23 - 1/7*T^22 + 18/49*T^21 - 25/49*T^20 +
        17/49*T^19 + 45/49*T^18 - 43/49*T^17 + 43/49*T^15 - 45/49*T^14 - 17/49*T^13 
        + 25/49*T^12 - 18/49*T^11 + 1/7*T^10 + 9/49*T^9 - 22/49*T^8 + 31/49*T^7 + 
        25/49*T^6 - 65/49*T^5 + 5/49*T^4 + 58/49*T^3 - 34/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 2*X*Y^5 + 3*X*Y^4 + 5*X*Y^2 + 3*X*Y + 5*X + 
        6*Y^18 + Y^17 + 6*Y^15 + 2*Y^14 + 6*Y^12 + 2*Y^11 + Y^10 + 6*Y^9 + 6*Y^7 + 
        Y^6 + 4*Y^5 + 5*Y^3 + Y^2 + 3*Y + 1,
    T^32 - T^31 - 37/49*T^30 + 44/49*T^29 - 27/49*T^28 + 5/7*T^27 - 18/49*T^26 + 
        1/49*T^25 + 40/49*T^24 - 4/7*T^23 - 30/49*T^22 - 6/49*T^21 + 60/49*T^20 - 
        19/49*T^19 - 38/49*T^18 + 22/49*T^17 + 6/49*T^16 + 22/49*T^15 - 38/49*T^14 -
        19/49*T^13 + 60/49*T^12 - 6/49*T^11 - 30/49*T^10 - 4/7*T^9 + 40/49*T^8 + 
        1/49*T^7 - 18/49*T^6 + 5/7*T^5 - 27/49*T^4 + 44/49*T^3 - 37/49*T^2 - T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + X*Y^4 + 4*X*Y^2 + X*Y + 3*X + 
        3*Y^18 + 2*Y^17 + 4*Y^16 + 6*Y^15 + 3*Y^14 + 5*Y^13 + 2*Y^12 + Y^11 + 3*Y^10
        + 5*Y^9 + 6*Y^8 + 2*Y^7 + 6*Y^6 + 4*Y^4 + 6*Y^3 + Y^2 + 4*Y + 1,
    T^32 - 3/7*T^31 + 31/49*T^30 - 31/49*T^29 - 71/49*T^27 + 20/49*T^26 - 32/49*T^25
        + 13/49*T^24 + 16/49*T^23 + 37/49*T^22 - 12/49*T^21 - 9/49*T^20 + 27/49*T^19
        - 38/49*T^18 + 24/49*T^17 - 6/49*T^16 + 24/49*T^15 - 38/49*T^14 + 27/49*T^13
        - 9/49*T^12 - 12/49*T^11 + 37/49*T^10 + 16/49*T^9 + 13/49*T^8 - 32/49*T^7 + 
        20/49*T^6 - 71/49*T^5 - 31/49*T^3 + 31/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 
        5*X*Y^2 + 5*X*Y + 6*X + 3*Y^18 + 5*Y^17 + 2*Y^16 + Y^15 + Y^14 + 2*Y^13 + 
        6*Y^12 + 6*Y^11 + 5*Y^10 + 2*Y^9 + 3*Y^8 + 2*Y^7 + Y^6 + 4*Y^4 + 2*Y^3 + 
        3*Y^2 + Y + 2,
    -T^32 + T^31 + 2/49*T^30 - 10/49*T^29 - 37/49*T^28 + 73/49*T^27 - 60/49*T^26 + 
        4/7*T^25 - 16/49*T^24 + 34/49*T^23 - 45/49*T^22 + 8/7*T^21 - 15/49*T^20 + 
        2/49*T^19 - 23/49*T^18 + 31/49*T^17 - 31/49*T^15 + 23/49*T^14 - 2/49*T^13 + 
        15/49*T^12 - 8/7*T^11 + 45/49*T^10 - 34/49*T^9 + 16/49*T^8 - 4/7*T^7 + 
        60/49*T^6 - 73/49*T^5 + 37/49*T^4 + 10/49*T^3 - 2/49*T^2 - T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 3*X*Y^4 + 2*X*Y^3 + X*Y^2 + 3*X*Y + 
        Y^18 + 4*Y^17 + 6*Y^15 + Y^13 + 3*Y^12 + 2*Y^11 + 3*Y^10 + 6*Y^9 + 6*Y^8 + 
        Y^7 + 6*Y^6 + 4*Y^5 + 3*Y^4 + Y^3 + 3*Y^2 + Y + 4,
    T^32 + 1/7*T^31 - 5/7*T^30 - 2/49*T^29 - 1/7*T^28 - 13/49*T^27 + 5/49*T^26 + 
        3/49*T^25 - 3/49*T^24 + 18/49*T^23 - 5/49*T^22 + 9/49*T^21 - 32/49*T^19 + 
        8/49*T^18 + 2/7*T^17 - 1/7*T^16 + 2/7*T^15 + 8/49*T^14 - 32/49*T^13 + 
        9/49*T^11 - 5/49*T^10 + 18/49*T^9 - 3/49*T^8 + 3/49*T^7 + 5/49*T^6 - 
        13/49*T^5 - 1/7*T^4 - 2/49*T^3 - 5/7*T^2 + 1/7*T + 1
*], [*
    X^3 + 5*X*Y^7 + 5*X*Y^6 + 4*X*Y^4 + X*Y^3 + 2*X*Y^2 + X*Y + Y^18 + 3*Y^17 + 
        4*Y^16 + 6*Y^15 + 6*Y^14 + 5*Y^12 + 3*Y^11 + 4*Y^10 + 2*Y^8 + 4*Y^7 + 3*Y^6 
        + 6*Y^5 + 3*Y^3 + 3*Y^2 + 2*Y + 3,
    T^32 - 17/7*T^31 + 170/49*T^30 - 199/49*T^29 + 153/49*T^28 - 80/49*T^27 + 
        24/49*T^26 + 16/49*T^25 - 13/49*T^24 - 8/49*T^23 + 10/49*T^22 - 2/49*T^21 + 
        10/49*T^20 - 47/49*T^19 + 20/7*T^18 - 236/49*T^17 + 268/49*T^16 - 
        236/49*T^15 + 20/7*T^14 - 47/49*T^13 + 10/49*T^12 - 2/49*T^11 + 10/49*T^10 -
        8/49*T^9 - 13/49*T^8 + 16/49*T^7 + 24/49*T^6 - 80/49*T^5 + 153/49*T^4 - 
        199/49*T^3 + 170/49*T^2 - 17/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 5*X*Y^3 + 
        2*X*Y^2 + X*Y + 5*X + 5*Y^18 + 5*Y^17 + 4*Y^16 + Y^15 + 6*Y^12 + Y^11 + 
        2*Y^10 + Y^9 + Y^8 + 5*Y^7 + 4*Y^6 + 6*Y^5 + 4*Y^4 + 2*Y^3 + 4*Y + 3,
    -T^32 + 2/7*T^31 - 13/49*T^30 - 33/49*T^29 + 19/49*T^28 - 22/49*T^27 + 
        13/49*T^26 + 22/49*T^25 - 15/49*T^24 + 11/49*T^23 + 6/7*T^22 - 13/49*T^21 + 
        19/49*T^20 + 24/49*T^19 - 23/49*T^18 + 22/49*T^17 - 22/49*T^15 + 23/49*T^14 
        - 24/49*T^13 - 19/49*T^12 + 13/49*T^11 - 6/7*T^10 - 11/49*T^9 + 15/49*T^8 - 
        22/49*T^7 - 13/49*T^6 + 22/49*T^5 - 19/49*T^4 + 33/49*T^3 + 13/49*T^2 - 
        2/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 5*X*Y^7 + X*Y^6 + 3*X*Y^4 + 6*X*Y^3 + X*Y^2 + 3*X*Y + 2*X 
        + 4*Y^18 + 3*Y^17 + 6*Y^16 + 3*Y^15 + 2*Y^14 + 4*Y^13 + 2*Y^12 + 4*Y^11 + 
        2*Y^10 + 2*Y^9 + Y^7 + 6*Y^6 + 3*Y^5 + 5*Y^3 + 3*Y^2 + 6*Y + 3,
    T^32 + 11/7*T^31 + T^30 + 27/49*T^29 + 11/49*T^28 + 6/49*T^27 - 4/7*T^26 - 
        58/49*T^25 - 65/49*T^24 - 61/49*T^23 - 46/49*T^22 - 44/49*T^21 - 11/49*T^20 
        + 36/49*T^19 + 57/49*T^18 + 41/49*T^17 + 20/49*T^16 + 41/49*T^15 + 
        57/49*T^14 + 36/49*T^13 - 11/49*T^12 - 44/49*T^11 - 46/49*T^10 - 61/49*T^9 -
        65/49*T^8 - 58/49*T^7 - 4/7*T^6 + 6/49*T^5 + 11/49*T^4 + 27/49*T^3 + T^2 + 
        11/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 2*X*Y^2 + X*Y + 4*X + 
        3*Y^18 + 5*Y^17 + 4*Y^16 + 4*Y^14 + 5*Y^13 + 4*Y^12 + 5*Y^10 + 4*Y^9 + 6*Y^8
        + 6*Y^7 + 2*Y^6 + 2*Y^5 + 4*Y^4 + 3*Y^3 + 6*Y^2 + 1,
    -T^32 + 4/7*T^31 + 18/49*T^30 + 31/49*T^29 - 43/49*T^28 + 5/49*T^27 + 10/49*T^25
        + 13/49*T^24 - 18/49*T^23 + 4/7*T^22 - 36/49*T^21 + 24/49*T^20 - 25/49*T^19 
        + 13/49*T^18 - 20/49*T^17 + 20/49*T^15 - 13/49*T^14 + 25/49*T^13 - 
        24/49*T^12 + 36/49*T^11 - 4/7*T^10 + 18/49*T^9 - 13/49*T^8 - 10/49*T^7 - 
        5/49*T^5 + 43/49*T^4 - 31/49*T^3 - 18/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 4*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 3*X 
        + Y^18 + 3*Y^17 + Y^16 + 2*Y^15 + 4*Y^14 + 2*Y^13 + 6*Y^12 + 2*Y^11 + 6*Y^10
        + 5*Y^7 + 6*Y^4 + Y^3 + 3*Y^2 + 5*Y + 2,
    -T^32 + 4/7*T^31 + 6/7*T^30 - 19/49*T^29 + 1/49*T^28 - 55/49*T^27 + 38/49*T^26 +
        5/49*T^25 - 16/49*T^24 + 24/49*T^23 - 39/49*T^22 + 15/49*T^21 - 4/49*T^20 + 
        8/49*T^19 + 8/49*T^18 - 19/49*T^17 + 19/49*T^15 - 8/49*T^14 - 8/49*T^13 + 
        4/49*T^12 - 15/49*T^11 + 39/49*T^10 - 24/49*T^9 + 16/49*T^8 - 5/49*T^7 - 
        38/49*T^6 + 55/49*T^5 - 1/49*T^4 + 19/49*T^3 - 6/7*T^2 - 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 3*X*Y^3 + 6*X*Y + 4*X + 
        4*Y^18 + 2*Y^17 + 3*Y^16 + 5*Y^14 + Y^13 + 3*Y^12 + 4*Y^11 + 2*Y^10 + 4*Y^8 
        + 2*Y^7 + 2*Y^6 + 4*Y^5 + 2*Y^4 + 2*Y^3 + Y^2 + Y + 3,
    T^32 - 1/7*T^31 - 73/49*T^30 + 20/49*T^29 + 8/7*T^28 - 29/49*T^27 - 16/49*T^26 -
        2/49*T^25 - 24/49*T^24 + 40/49*T^23 + 31/49*T^22 - 64/49*T^21 - 15/49*T^20 +
        8/7*T^19 - 8/49*T^18 - 18/49*T^17 + 17/49*T^16 - 18/49*T^15 - 8/49*T^14 + 
        8/7*T^13 - 15/49*T^12 - 64/49*T^11 + 31/49*T^10 + 40/49*T^9 - 24/49*T^8 - 
        2/49*T^7 - 16/49*T^6 - 29/49*T^5 + 8/7*T^4 + 20/49*T^3 - 73/49*T^2 - 1/7*T +
        1
*], [*
    X^3 + 4*X*Y^8 + 4*X*Y^7 + X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 4*X*Y^2 + 6*X*Y + 5*X + 
        6*Y^18 + 2*Y^17 + Y^16 + 5*Y^14 + Y^13 + Y^12 + Y^11 + 2*Y^9 + 4*Y^7 + 2*Y^5
        + 4*Y^4 + 4*Y^3 + 2,
    T^32 + 11/7*T^31 + 3/49*T^30 - 47/49*T^29 - 27/49*T^28 + 3/7*T^27 + 37/49*T^26 -
        1/49*T^25 + 18/49*T^24 + 9/7*T^23 + 2/7*T^22 - 57/49*T^21 - 11/7*T^20 - 
        10/7*T^19 - 15/49*T^18 + 26/49*T^17 + 3/7*T^16 + 26/49*T^15 - 15/49*T^14 - 
        10/7*T^13 - 11/7*T^12 - 57/49*T^11 + 2/7*T^10 + 9/7*T^9 + 18/49*T^8 - 
        1/49*T^7 + 37/49*T^6 + 3/7*T^5 - 27/49*T^4 - 47/49*T^3 + 3/49*T^2 + 11/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 4*X*Y^2 + X*Y + 4*X + 
        2*Y^18 + 4*Y^17 + 5*Y^16 + 3*Y^15 + 3*Y^14 + 3*Y^13 + 3*Y^12 + 5*Y^10 + Y^8 
        + 3*Y^7 + 5*Y^6 + 2*Y^5 + 2*Y^4 + 6*Y^3 + Y^2 + 3*Y,
    T^32 - 3/7*T^31 - 31/49*T^30 + 12/49*T^29 - 20/49*T^28 + 12/49*T^27 - 11/49*T^26
        + 2/49*T^25 + 2/49*T^24 - 2/49*T^23 + 3/7*T^22 - 3/7*T^21 - 1/49*T^20 + 
        4/49*T^19 - 2/7*T^18 + 10/49*T^17 + 27/49*T^16 + 10/49*T^15 - 2/7*T^14 + 
        4/49*T^13 - 1/49*T^12 - 3/7*T^11 + 3/7*T^10 - 2/49*T^9 + 2/49*T^8 + 2/49*T^7
        - 11/49*T^6 + 12/49*T^5 - 20/49*T^4 + 12/49*T^3 - 31/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 5*X*Y 
        + 6*X + Y^18 + 6*Y^17 + 2*Y^15 + 4*Y^14 + 4*Y^13 + 5*Y^12 + Y^11 + Y^10 + 
        Y^7 + 4*Y^6 + 3*Y^5 + 3*Y^3 + 6*Y + 2,
    -T^32 + 6/7*T^31 - 23/49*T^30 + 1/49*T^29 - 12/49*T^28 + 62/49*T^27 - 9/7*T^26 +
        4/7*T^25 + 5/49*T^24 - 12/49*T^23 - 37/49*T^22 + T^21 - 23/49*T^20 + 
        1/49*T^19 + 1/7*T^18 + 9/49*T^17 - 9/49*T^15 - 1/7*T^14 - 1/49*T^13 + 
        23/49*T^12 - T^11 + 37/49*T^10 + 12/49*T^9 - 5/49*T^8 - 4/7*T^7 + 9/7*T^6 - 
        62/49*T^5 + 12/49*T^4 - 1/49*T^3 + 23/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^7 + 3*X*Y^6 + X*Y^5 + 2*X*Y^4 + 3*X*Y^2 + 4*X*Y + 3*X + 
        6*Y^18 + 2*Y^17 + 3*Y^16 + 3*Y^15 + Y^14 + 2*Y^13 + 6*Y^12 + 6*Y^11 + 3*Y^10
        + 4*Y^9 + 2*Y^8 + 3*Y^7 + Y^5 + 4*Y^4 + 3*Y^3 + 5*Y^2 + 6*Y + 1,
    -T^32 + 4/7*T^31 + 11/49*T^30 - 37/49*T^29 + 1/7*T^28 + 41/49*T^27 - 46/49*T^26 
        - 25/49*T^25 + 48/49*T^24 + 6/49*T^23 - 64/49*T^22 + 39/49*T^21 + 53/49*T^20
        - 55/49*T^19 - 2/7*T^18 + 41/49*T^17 - 41/49*T^15 + 2/7*T^14 + 55/49*T^13 - 
        53/49*T^12 - 39/49*T^11 + 64/49*T^10 - 6/49*T^9 - 48/49*T^8 + 25/49*T^7 + 
        46/49*T^6 - 41/49*T^5 - 1/7*T^4 + 37/49*T^3 - 11/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 
        + 6*X + 5*Y^18 + 2*Y^17 + Y^16 + Y^15 + 6*Y^14 + 4*Y^13 + 5*Y^12 + 2*Y^11 + 
        3*Y^10 + 6*Y^9 + 4*Y^8 + 4*Y^6 + 5*Y^5 + 3*Y^4 + 6*Y^3 + 5*Y^2 + Y + 2,
    T^32 + 1/7*T^31 + 6/7*T^30 + 3/7*T^29 + 2/7*T^28 + 1/7*T^27 - 22/49*T^26 - 
        38/49*T^25 - 51/49*T^24 - 54/49*T^23 - 43/49*T^22 - 43/49*T^21 - 2/49*T^20 +
        23/49*T^19 + 37/49*T^18 + 11/7*T^17 + 52/49*T^16 + 11/7*T^15 + 37/49*T^14 + 
        23/49*T^13 - 2/49*T^12 - 43/49*T^11 - 43/49*T^10 - 54/49*T^9 - 51/49*T^8 - 
        38/49*T^7 - 22/49*T^6 + 1/7*T^5 + 2/7*T^4 + 3/7*T^3 + 6/7*T^2 + 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 2*X*Y^6 + X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + 6*X*Y 
        + 3*Y^18 + 2*Y^16 + 5*Y^15 + 5*Y^14 + Y^13 + 2*Y^12 + 6*Y^11 + 5*Y^10 + 
        2*Y^9 + 4*Y^8 + Y^7 + 3*Y^6 + 2*Y^5 + Y^4 + 2*Y^3 + 5*Y^2 + 4,
    T^32 - 8/7*T^31 - 20/49*T^30 + 4/49*T^29 - 5/49*T^28 + 32/49*T^27 + 29/49*T^26 +
        1/49*T^25 - 20/49*T^24 - 34/49*T^23 - 17/49*T^22 + 24/49*T^21 + 2/7*T^20 + 
        10/49*T^19 + 32/49*T^18 - 37/49*T^17 - 11/49*T^16 - 37/49*T^15 + 32/49*T^14 
        + 10/49*T^13 + 2/7*T^12 + 24/49*T^11 - 17/49*T^10 - 34/49*T^9 - 20/49*T^8 + 
        1/49*T^7 + 29/49*T^6 + 32/49*T^5 - 5/49*T^4 + 4/49*T^3 - 20/49*T^2 - 8/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + X + 
        6*Y^18 + 6*Y^17 + 4*Y^16 + 3*Y^15 + 4*Y^14 + 3*Y^12 + 2*Y^11 + 5*Y^10 + 
        6*Y^9 + 5*Y^8 + 5*Y^7 + Y^5 + Y^4 + 3*Y^3 + 2*Y^2 + Y,
    -T^32 - 5/7*T^31 - 2/7*T^30 + 8/49*T^29 + 33/49*T^28 - 16/49*T^27 + 1/49*T^26 + 
        4/49*T^25 + 3/49*T^24 + 43/49*T^23 - 4/49*T^22 + 4/49*T^21 + 10/49*T^20 + 
        1/49*T^19 + 30/49*T^18 - 6/49*T^17 + 6/49*T^15 - 30/49*T^14 - 1/49*T^13 - 
        10/49*T^12 - 4/49*T^11 + 4/49*T^10 - 43/49*T^9 - 3/49*T^8 - 4/49*T^7 - 
        1/49*T^6 + 16/49*T^5 - 33/49*T^4 - 8/49*T^3 + 2/7*T^2 + 5/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + X*Y^3 + 2*X*Y^2 + 3*X*Y 
        + 6*X + 6*Y^18 + 2*Y^17 + 6*Y^16 + 2*Y^14 + 5*Y^13 + Y^12 + Y^11 + 5*Y^10 + 
        4*Y^9 + 5*Y^8 + 6*Y^7 + 2*Y^5 + Y^4 + 2*Y^3 + 5*Y^2 + 2*Y + 3,
    T^32 - 10/7*T^31 + 85/49*T^30 - 9/7*T^29 + 36/49*T^28 + 10/49*T^27 - 53/49*T^26 
        + 80/49*T^25 - 67/49*T^24 + 53/49*T^23 - 4/7*T^22 + 18/49*T^21 - 4/49*T^20 -
        4/49*T^19 + 1/7*T^18 - 24/49*T^17 + 31/49*T^16 - 24/49*T^15 + 1/7*T^14 - 
        4/49*T^13 - 4/49*T^12 + 18/49*T^11 - 4/7*T^10 + 53/49*T^9 - 67/49*T^8 + 
        80/49*T^7 - 53/49*T^6 + 10/49*T^5 + 36/49*T^4 - 9/7*T^3 + 85/49*T^2 - 10/7*T
        + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + 
        4*X*Y^2 + 2*X*Y + 4*X + 3*Y^18 + 4*Y^16 + 3*Y^15 + 2*Y^14 + 3*Y^13 + 5*Y^12 
        + 3*Y^11 + 3*Y^10 + 5*Y^9 + 4*Y^8 + 2*Y^7 + 4*Y^6 + 2*Y^5 + 2*Y^4 + 2*Y^3 + 
        Y^2 + 4*Y + 4,
    T^32 - 6/7*T^31 - 1/7*T^30 + 16/49*T^29 - 1/49*T^28 - 18/49*T^27 + 12/49*T^26 + 
        18/49*T^25 - 32/49*T^24 + 29/49*T^23 - 11/49*T^22 - 24/49*T^21 + 15/49*T^20 
        + 20/49*T^19 - 15/49*T^18 - 26/49*T^17 + 10/7*T^16 - 26/49*T^15 - 15/49*T^14
        + 20/49*T^13 + 15/49*T^12 - 24/49*T^11 - 11/49*T^10 + 29/49*T^9 - 32/49*T^8 
        + 18/49*T^7 + 12/49*T^6 - 18/49*T^5 - 1/49*T^4 + 16/49*T^3 - 1/7*T^2 - 6/7*T
        + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 4*X*Y^2 + 
        4*X*Y + X + 3*Y^18 + 4*Y^17 + 5*Y^16 + 5*Y^15 + 5*Y^14 + 5*Y^13 + 2*Y^12 + 
        5*Y^11 + 5*Y^10 + 6*Y^9 + 2*Y^8 + Y^7 + 4*Y^6 + 4*Y^5 + 6*Y^4 + 5*Y^3 + 
        6*Y^2 + 1,
    -T^32 - 10/7*T^31 - 39/49*T^30 + 18/49*T^29 + 19/49*T^28 - 15/49*T^27 - 
        10/49*T^26 - 2/7*T^25 - 9/49*T^24 - 24/49*T^23 - 2/7*T^22 - 3/49*T^21 + 
        12/49*T^20 + 11/49*T^19 - 3/7*T^18 - 31/49*T^17 + 31/49*T^15 + 3/7*T^14 - 
        11/49*T^13 - 12/49*T^12 + 3/49*T^11 + 2/7*T^10 + 24/49*T^9 + 9/49*T^8 + 
        2/7*T^7 + 10/49*T^6 + 15/49*T^5 - 19/49*T^4 - 18/49*T^3 + 39/49*T^2 + 10/7*T
        + 1
*], [*
    X^3 + 6*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 
        3*X*Y + 2*X + 4*Y^18 + 4*Y^17 + 3*Y^16 + 2*Y^15 + 2*Y^14 + 5*Y^13 + 4*Y^12 +
        5*Y^11 + Y^10 + 2*Y^8 + 3*Y^7 + Y^6 + Y^5 + 5*Y^4 + 2*Y^3 + 4*Y^2 + 3*Y + 1,
    -T^32 + 1/7*T^31 - 12/49*T^30 + 4/7*T^29 + 33/49*T^28 + 6/49*T^27 - 1/49*T^26 - 
        22/49*T^25 - 12/49*T^24 + 2/49*T^23 + 8/49*T^22 + 32/49*T^21 + 6/49*T^20 - 
        12/49*T^19 - 6/49*T^18 - 29/49*T^17 + 29/49*T^15 + 6/49*T^14 + 12/49*T^13 - 
        6/49*T^12 - 32/49*T^11 - 8/49*T^10 - 2/49*T^9 + 12/49*T^8 + 22/49*T^7 + 
        1/49*T^6 - 6/49*T^5 - 33/49*T^4 - 4/7*T^3 + 12/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + X*Y^7 + X*Y^6 + 2*X*Y^4 + X*Y^3 + 2*X*Y^2 + 3*X*Y + 2*X + Y^18 +
        2*Y^17 + 3*Y^16 + 3*Y^15 + 5*Y^13 + Y^11 + 6*Y^10 + 5*Y^8 + 3*Y^7 + 4*Y^6 + 
        6*Y^5 + 2*Y^4 + 4*Y^3 + 6*Y^2,
    -T^32 + 5/7*T^31 + 25/49*T^30 - 11/49*T^29 - 23/49*T^28 - 19/49*T^27 + 1/7*T^26 
        + 6/7*T^25 + 1/7*T^24 - 33/49*T^23 - 8/7*T^22 + 25/49*T^21 + 53/49*T^20 + 
        19/49*T^19 - 33/49*T^18 - 46/49*T^17 + 46/49*T^15 + 33/49*T^14 - 19/49*T^13 
        - 53/49*T^12 - 25/49*T^11 + 8/7*T^10 + 33/49*T^9 - 1/7*T^8 - 6/7*T^7 - 
        1/7*T^6 + 19/49*T^5 + 23/49*T^4 + 11/49*T^3 - 25/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 2*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + X*Y^2 + 3*X*Y 
        + Y^18 + 5*Y^17 + 6*Y^16 + Y^14 + Y^13 + 3*Y^12 + 6*Y^11 + 4*Y^10 + 6*Y^9 + 
        3*Y^8 + 5*Y^7 + 5*Y^6 + Y^5 + 5*Y^4 + 6*Y^3 + 5*Y^2 + 5,
    T^32 + 4/7*T^31 - 6/7*T^30 - 32/49*T^29 + 17/49*T^28 + 11/49*T^27 - 9/49*T^26 - 
        19/49*T^25 - 2/49*T^24 + 3/7*T^23 + 20/49*T^22 - 16/49*T^21 - 19/49*T^20 + 
        1/49*T^19 - 4/49*T^18 - 9/49*T^17 + 2/7*T^16 - 9/49*T^15 - 4/49*T^14 + 
        1/49*T^13 - 19/49*T^12 - 16/49*T^11 + 20/49*T^10 + 3/7*T^9 - 2/49*T^8 - 
        19/49*T^7 - 9/49*T^6 + 11/49*T^5 + 17/49*T^4 - 32/49*T^3 - 6/7*T^2 + 4/7*T +
        1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + 6*X*Y^2 + 5*X + 
        5*Y^18 + 2*Y^17 + 5*Y^16 + Y^15 + 6*Y^14 + 5*Y^13 + 4*Y^11 + Y^10 + 5*Y^9 + 
        2*Y^7 + 5*Y^6 + 4*Y^5 + 3*Y^4 + 3*Y^3 + 2*Y^2 + 5*Y + 3,
    -T^32 - 6/7*T^31 + 26/49*T^30 + 6/7*T^29 + 31/49*T^28 - 20/49*T^27 - 3/7*T^26 + 
        2/7*T^25 + 16/49*T^24 - 1/49*T^23 - 38/49*T^22 - 3/7*T^21 + 30/49*T^20 + 
        53/49*T^19 + 17/49*T^18 - 19/49*T^17 + 19/49*T^15 - 17/49*T^14 - 53/49*T^13 
        - 30/49*T^12 + 3/7*T^11 + 38/49*T^10 + 1/49*T^9 - 16/49*T^8 - 2/7*T^7 + 
        3/7*T^6 + 20/49*T^5 - 31/49*T^4 - 6/7*T^3 - 26/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 5*X*Y^6 + 5*X*Y^5 + 5*X*Y^3 + 4*X*Y^2 + 6*X*Y + 6*X + 
        5*Y^18 + 2*Y^17 + 3*Y^16 + Y^15 + 4*Y^13 + Y^12 + 2*Y^11 + 3*Y^10 + 3*Y^9 + 
        4*Y^8 + 4*Y^7 + Y^6 + 5*Y^5 + 2*Y^4 + 6*Y^3 + 3*Y^2 + 2*Y + 5,
    -T^32 - 1/7*T^31 + 31/49*T^30 + 18/49*T^29 + 47/49*T^28 + 13/49*T^27 + 
        34/49*T^26 - 3/7*T^25 - 76/49*T^24 - 53/49*T^23 - 50/49*T^22 + 27/49*T^21 + 
        5/7*T^20 + 6/7*T^19 + 74/49*T^18 + 6/7*T^17 - 6/7*T^15 - 74/49*T^14 - 
        6/7*T^13 - 5/7*T^12 - 27/49*T^11 + 50/49*T^10 + 53/49*T^9 + 76/49*T^8 + 
        3/7*T^7 - 34/49*T^6 - 13/49*T^5 - 47/49*T^4 - 18/49*T^3 - 31/49*T^2 + 1/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + X*Y^3 + 
        2*X*Y^2 + 6*X + 5*Y^18 + 3*Y^16 + 4*Y^15 + 4*Y^14 + 5*Y^13 + Y^11 + 5*Y^10 +
        4*Y^9 + 2*Y^8 + 2*Y^7 + 4*Y^6 + 4*Y^5 + 2*Y^4 + Y^3 + Y^2 + 5*Y + 5,
    T^32 + 9/7*T^31 - 5/49*T^30 - 25/49*T^29 + 29/49*T^28 + 37/49*T^27 - 3/49*T^25 +
        25/49*T^24 + 52/49*T^23 + 26/49*T^22 - 4/7*T^21 - 1/49*T^20 + 52/49*T^19 + 
        33/49*T^18 + 32/49*T^17 + 57/49*T^16 + 32/49*T^15 + 33/49*T^14 + 52/49*T^13 
        - 1/49*T^12 - 4/7*T^11 + 26/49*T^10 + 52/49*T^9 + 25/49*T^8 - 3/49*T^7 + 
        37/49*T^5 + 29/49*T^4 - 25/49*T^3 - 5/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 3*X*Y^5 + 4*X*Y^3 + X*Y^2 + 6*X*Y + 5*X + 
        2*Y^18 + Y^17 + 2*Y^15 + 2*Y^14 + Y^13 + 5*Y^12 + 4*Y^11 + 6*Y^10 + 6*Y^8 + 
        2*Y^5 + Y^4 + 4*Y^2 + 1,
    T^32 - 1/7*T^31 - 46/49*T^30 + 48/49*T^29 + 1/49*T^28 - 5/7*T^27 + 36/49*T^26 + 
        23/49*T^25 - 47/49*T^24 + 20/49*T^23 + 48/49*T^22 - 67/49*T^21 + 9/49*T^20 +
        53/49*T^19 - 47/49*T^18 - 5/49*T^17 + 55/49*T^16 - 5/49*T^15 - 47/49*T^14 + 
        53/49*T^13 + 9/49*T^12 - 67/49*T^11 + 48/49*T^10 + 20/49*T^9 - 47/49*T^8 + 
        23/49*T^7 + 36/49*T^6 - 5/7*T^5 + 1/49*T^4 + 48/49*T^3 - 46/49*T^2 - 1/7*T +
        1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + X*Y^6 + 2*X*Y^5 + X*Y^4 + 3*X*Y^3 + X*Y^2 + 
        X*Y + 5*X + 5*Y^18 + 2*Y^17 + 2*Y^16 + 5*Y^15 + Y^14 + 3*Y^13 + Y^12 + Y^11 
        + 6*Y^10 + 4*Y^9 + 6*Y^8 + 4*Y^7 + 2*Y^6 + 4*Y^5 + 4*Y^3 + 6*Y^2 + 2*Y + 5,
    T^32 - 2/7*T^31 - 13/49*T^30 + 19/49*T^29 - 12/49*T^28 + 31/49*T^27 + 3/49*T^26 
        - 18/49*T^25 + 1/49*T^24 - 27/49*T^23 - 4/49*T^22 + 12/49*T^21 - 1/7*T^20 - 
        8/49*T^19 + 6/49*T^18 + 5/49*T^17 - 10/49*T^16 + 5/49*T^15 + 6/49*T^14 - 
        8/49*T^13 - 1/7*T^12 + 12/49*T^11 - 4/49*T^10 - 27/49*T^9 + 1/49*T^8 - 
        18/49*T^7 + 3/49*T^6 + 31/49*T^5 - 12/49*T^4 + 19/49*T^3 - 13/49*T^2 - 2/7*T
        + 1
*], [*
    X^3 + 4*X*Y^8 + X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + X*Y^3 + X*Y^2 + 5*X*Y + 3*Y^18 + 
        5*Y^17 + 2*Y^16 + 4*Y^15 + Y^13 + 6*Y^12 + Y^11 + 6*Y^10 + Y^9 + 6*Y^8 + Y^7
        + 2*Y^6 + 4*Y^5 + 3*Y^3 + 6*Y^2 + 5*Y + 4,
    -T^32 + 10/7*T^31 - 121/49*T^30 + 152/49*T^29 - 138/49*T^28 + 127/49*T^27 - 
        66/49*T^26 - 3/49*T^25 + 62/49*T^24 - 111/49*T^23 + 122/49*T^22 - 16/7*T^21 
        + 74/49*T^20 - 45/49*T^19 + 11/49*T^18 - 6/49*T^17 + 6/49*T^15 - 11/49*T^14 
        + 45/49*T^13 - 74/49*T^12 + 16/7*T^11 - 122/49*T^10 + 111/49*T^9 - 62/49*T^8
        + 3/49*T^7 + 66/49*T^6 - 127/49*T^5 + 138/49*T^4 - 152/49*T^3 + 121/49*T^2 -
        10/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 4*X*Y^6 + 2*X*Y^5 + 6*X*Y^3 + 2*X*Y^2 + 3*X*Y + 2*X + 
        4*Y^18 + 2*Y^17 + Y^16 + 6*Y^15 + Y^14 + 5*Y^13 + 3*Y^12 + 5*Y^11 + 6*Y^10 +
        Y^9 + 5*Y^7 + 2*Y^6 + Y^5 + 4*Y^3 + 3*Y^2 + 3*Y + 6,
    T^32 - 1/7*T^31 - 12/49*T^30 + 34/49*T^29 - 18/49*T^28 - 10/49*T^27 - 19/49*T^26
        - 3/49*T^25 - 5/7*T^24 - 5/49*T^23 + 36/49*T^22 - 32/49*T^21 + 9/49*T^20 + 
        26/49*T^19 - 8/49*T^18 + 1/49*T^17 + 13/49*T^16 + 1/49*T^15 - 8/49*T^14 + 
        26/49*T^13 + 9/49*T^12 - 32/49*T^11 + 36/49*T^10 - 5/49*T^9 - 5/7*T^8 - 
        3/49*T^7 - 19/49*T^6 - 10/49*T^5 - 18/49*T^4 + 34/49*T^3 - 12/49*T^2 - 1/7*T
        + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 2*X*Y^5 + X*Y^4 + 2*X*Y^3 + 
        3*X*Y^2 + 6*X*Y + 4*X + 3*Y^18 + 6*Y^17 + 2*Y^16 + 4*Y^15 + Y^14 + Y^13 + 
        4*Y^12 + 6*Y^11 + 2*Y^10 + Y^9 + 4*Y^8 + 3*Y^7 + 3*Y^6 + 6*Y^4 + 5*Y^3 + Y +
        3,
    -T^32 + 67/49*T^30 + 29/49*T^29 - 46/49*T^28 - 50/49*T^27 - 1/49*T^26 + 
        51/49*T^25 + 10/49*T^24 - 37/49*T^23 - 15/49*T^22 + 24/49*T^21 - 9/49*T^19 +
        3/49*T^18 + 17/49*T^17 - 17/49*T^15 - 3/49*T^14 + 9/49*T^13 - 24/49*T^11 + 
        15/49*T^10 + 37/49*T^9 - 10/49*T^8 - 51/49*T^7 + 1/49*T^6 + 50/49*T^5 + 
        46/49*T^4 - 29/49*T^3 - 67/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + X*Y^5 + 3*X*Y^4 + 2*X*Y^2 + 5*X*Y + 3*X + 
        4*Y^18 + 2*Y^17 + 6*Y^16 + 3*Y^14 + 5*Y^13 + 4*Y^12 + 6*Y^11 + Y^10 + Y^9 + 
        5*Y^8 + 5*Y^6 + 3*Y^5 + 4*Y^4 + 6*Y^3 + 6*Y + 6,
    T^32 + 1/7*T^31 - 4/49*T^30 + 30/49*T^29 + 20/49*T^28 - 5/49*T^27 + 3/49*T^26 - 
        5/49*T^25 - 26/49*T^24 + 11/49*T^23 - 10/49*T^22 + 1/49*T^21 - 11/49*T^20 - 
        15/49*T^19 + 19/49*T^18 - 3/49*T^17 - 22/49*T^16 - 3/49*T^15 + 19/49*T^14 - 
        15/49*T^13 - 11/49*T^12 + 1/49*T^11 - 10/49*T^10 + 11/49*T^9 - 26/49*T^8 - 
        5/49*T^7 + 3/49*T^6 - 5/49*T^5 + 20/49*T^4 + 30/49*T^3 - 4/49*T^2 + 1/7*T + 
        1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 2*X*Y^3 + X*Y^2 + 4*X*Y 
        + 4*X + 4*Y^18 + 5*Y^16 + 6*Y^14 + Y^13 + 3*Y^12 + 5*Y^11 + 5*Y^9 + 2*Y^8 + 
        2*Y^7 + Y^6 + Y^5 + 6*Y^4 + 6*Y^2 + 3,
    T^32 + 9/7*T^31 + 88/49*T^30 + 62/49*T^29 + 46/49*T^28 + 45/49*T^27 + 6/7*T^26 +
        54/49*T^25 + 43/49*T^24 + 43/49*T^23 + 36/49*T^22 + 48/49*T^21 + 9/7*T^20 + 
        99/49*T^19 + 16/7*T^18 + 111/49*T^17 + 108/49*T^16 + 111/49*T^15 + 16/7*T^14
        + 99/49*T^13 + 9/7*T^12 + 48/49*T^11 + 36/49*T^10 + 43/49*T^9 + 43/49*T^8 + 
        54/49*T^7 + 6/7*T^6 + 45/49*T^5 + 46/49*T^4 + 62/49*T^3 + 88/49*T^2 + 9/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 2*X*Y^2 + X*Y + 
        6*X + 3*Y^18 + 2*Y^17 + 6*Y^15 + Y^13 + 6*Y^12 + 5*Y^11 + 6*Y^10 + 5*Y^9 + 
        6*Y^8 + Y^6 + 2*Y^5 + 3*Y^4 + 5*Y^3 + 2*Y^2 + Y + 6,
    T^32 + T^31 + 43/49*T^30 - 16/49*T^29 - 59/49*T^28 - 12/7*T^27 - 118/49*T^26 - 
        74/49*T^25 - 16/49*T^24 + 90/49*T^23 + 145/49*T^22 + 142/49*T^21 + 13/7*T^20
        + 25/49*T^19 - 46/49*T^18 - 129/49*T^17 - 24/7*T^16 - 129/49*T^15 - 
        46/49*T^14 + 25/49*T^13 + 13/7*T^12 + 142/49*T^11 + 145/49*T^10 + 90/49*T^9 
        - 16/49*T^8 - 74/49*T^7 - 118/49*T^6 - 12/7*T^5 - 59/49*T^4 - 16/49*T^3 + 
        43/49*T^2 + T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + X*Y^7 + 5*X*Y^6 + X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + X*Y^2 + 
        6*Y^18 + 2*Y^16 + 6*Y^14 + 4*Y^13 + Y^11 + 2*Y^10 + 5*Y^8 + 3*Y^7 + 2*Y^5 + 
        3*Y^4 + 4*Y^2 + Y + 1,
    -T^32 - T^31 + 9/49*T^30 + 57/49*T^29 + 67/49*T^28 + 19/49*T^27 - 29/49*T^26 - 
        2/7*T^25 - 17/49*T^24 - 20/49*T^23 - 13/49*T^22 - 22/49*T^21 + 3/49*T^20 + 
        32/49*T^19 + 44/49*T^18 + 50/49*T^17 - 50/49*T^15 - 44/49*T^14 - 32/49*T^13 
        - 3/49*T^12 + 22/49*T^11 + 13/49*T^10 + 20/49*T^9 + 17/49*T^8 + 2/7*T^7 + 
        29/49*T^6 - 19/49*T^5 - 67/49*T^4 - 57/49*T^3 - 9/49*T^2 + T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 
        3*X*Y^2 + 6*X*Y + X + 2*Y^18 + 6*Y^17 + 4*Y^14 + 4*Y^13 + 5*Y^12 + 4*Y^11 + 
        4*Y^10 + Y^8 + 5*Y^7 + 3*Y^6 + 4*Y^5 + 2*Y^4 + 2*Y^2 + 2*Y,
    -T^32 + 3/7*T^31 + 30/49*T^30 - 26/49*T^29 + 22/49*T^28 + 3/7*T^27 - 29/49*T^26 
        - 24/49*T^25 + 1/7*T^24 + 10/49*T^23 - 5/49*T^22 + 5/7*T^21 + 4/49*T^20 - 
        3/7*T^19 + 2/49*T^18 - 2/7*T^17 + 2/7*T^15 - 2/49*T^14 + 3/7*T^13 - 
        4/49*T^12 - 5/7*T^11 + 5/49*T^10 - 10/49*T^9 - 1/7*T^8 + 24/49*T^7 + 
        29/49*T^6 - 3/7*T^5 - 22/49*T^4 + 26/49*T^3 - 30/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 6*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + X*Y 
        + 2*X + 6*Y^18 + 6*Y^16 + 6*Y^15 + 6*Y^14 + Y^13 + 5*Y^12 + 3*Y^11 + 5*Y^10 
        + 3*Y^9 + 4*Y^8 + 3*Y^7 + 6*Y^6 + 6*Y^5 + 3*Y^4 + Y^3 + 4*Y^2 + 4*Y + 6,
    -T^32 + 5/7*T^31 - 41/49*T^30 + 2/49*T^29 + 54/49*T^28 - 23/49*T^27 + 23/49*T^26
        + 5/7*T^25 - 43/49*T^24 - 8/49*T^23 + 52/49*T^22 - 100/49*T^21 + 68/49*T^20 
        - 8/49*T^19 - 57/49*T^18 + 47/49*T^17 - 47/49*T^15 + 57/49*T^14 + 8/49*T^13 
        - 68/49*T^12 + 100/49*T^11 - 52/49*T^10 + 8/49*T^9 + 43/49*T^8 - 5/7*T^7 - 
        23/49*T^6 + 23/49*T^5 - 54/49*T^4 - 2/49*T^3 + 41/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + X*Y^3 + 6*X*Y^2 + 5*X*Y 
        + 2*X + 4*Y^18 + 3*Y^17 + 5*Y^16 + Y^15 + Y^14 + 3*Y^13 + 5*Y^12 + 4*Y^11 + 
        Y^10 + 5*Y^9 + 6*Y^7 + Y^6 + 3*Y^5 + 3*Y^4 + 2*Y^3 + 3*Y^2 + 6*Y + 1,
    -T^32 - 3/7*T^31 - 55/49*T^30 - 27/49*T^29 - 41/49*T^28 - 41/49*T^27 - 
        19/49*T^26 - 50/49*T^25 + 41/49*T^24 - 3/49*T^23 + 53/49*T^22 + 2/49*T^21 + 
        5/49*T^20 + 3/7*T^19 + 3/7*T^18 + 23/49*T^17 - 23/49*T^15 - 3/7*T^14 - 
        3/7*T^13 - 5/49*T^12 - 2/49*T^11 - 53/49*T^10 + 3/49*T^9 - 41/49*T^8 + 
        50/49*T^7 + 19/49*T^6 + 41/49*T^5 + 41/49*T^4 + 27/49*T^3 + 55/49*T^2 + 
        3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + X*Y^4 + 2*X*Y^3 + 3*X*Y 
        + 5*X + 3*Y^18 + 3*Y^15 + 6*Y^14 + 4*Y^11 + 2*Y^10 + 5*Y^9 + 2*Y^8 + 5*Y^6 +
        4*Y^5 + 4*Y^3 + 3*Y^2 + 3*Y + 3,
    -T^32 - 6/7*T^31 + 2/7*T^30 + 11/49*T^29 + 57/49*T^28 + 50/49*T^27 - 5/49*T^26 -
        1/7*T^25 - 57/49*T^24 - 60/49*T^23 - 23/49*T^22 - 5/49*T^21 + 65/49*T^20 + 
        58/49*T^19 + 2/7*T^18 + 6/7*T^17 - 6/7*T^15 - 2/7*T^14 - 58/49*T^13 - 
        65/49*T^12 + 5/49*T^11 + 23/49*T^10 + 60/49*T^9 + 57/49*T^8 + 1/7*T^7 + 
        5/49*T^6 - 50/49*T^5 - 57/49*T^4 - 11/49*T^3 - 2/7*T^2 + 6/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 3*X*Y 
        + 3*X + 6*Y^18 + 4*Y^17 + 5*Y^16 + 4*Y^15 + 2*Y^14 + 6*Y^13 + 3*Y^12 + 
        4*Y^11 + 6*Y^10 + 2*Y^9 + 4*Y^8 + 6*Y^7 + 5*Y^6 + 4*Y^5 + Y^4 + 5*Y^3 + 
        3*Y^2 + 6*Y + 5,
    -T^32 - 11/7*T^31 - 10/49*T^30 + 31/49*T^29 - 2/7*T^28 - T^27 - 23/49*T^26 + 
        9/49*T^25 + 67/49*T^24 + 94/49*T^23 + 32/49*T^22 + 2/7*T^21 + 8/7*T^20 + 
        58/49*T^19 + 41/49*T^18 + 52/49*T^17 - 52/49*T^15 - 41/49*T^14 - 58/49*T^13 
        - 8/7*T^12 - 2/7*T^11 - 32/49*T^10 - 94/49*T^9 - 67/49*T^8 - 9/49*T^7 + 
        23/49*T^6 + T^5 + 2/7*T^4 - 31/49*T^3 + 10/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + X*Y^4 + X*Y^3 + X*Y^2 + 
        5*X*Y + 3*X + 4*Y^18 + 5*Y^16 + Y^15 + 5*Y^14 + Y^13 + 4*Y^12 + 6*Y^11 + 
        4*Y^10 + Y^9 + 3*Y^8 + Y^7 + 4*Y^6 + 2*Y^5 + 5*Y^3 + Y^2 + 3*Y,
    -T^32 - 11/7*T^31 - 8/7*T^30 - 12/7*T^29 - 95/49*T^28 - 31/49*T^27 - 4/7*T^26 - 
        6/7*T^25 + 23/49*T^24 + 37/49*T^23 + 22/49*T^22 + 69/49*T^21 + 82/49*T^20 + 
        72/49*T^19 + 72/49*T^18 + 6/7*T^17 - 6/7*T^15 - 72/49*T^14 - 72/49*T^13 - 
        82/49*T^12 - 69/49*T^11 - 22/49*T^10 - 37/49*T^9 - 23/49*T^8 + 6/7*T^7 + 
        4/7*T^6 + 31/49*T^5 + 95/49*T^4 + 12/7*T^3 + 8/7*T^2 + 11/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 4*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 4*X*Y^2 + X*Y 
        + 4*X + 2*Y^18 + 6*Y^16 + 2*Y^15 + 5*Y^14 + 6*Y^13 + 6*Y^12 + 6*Y^10 + 6*Y^8
        + Y^7 + 4*Y^6 + 3*Y^5 + 3*Y^4 + Y^3 + Y^2 + Y + 4,
    -T^32 + 16/7*T^31 - 103/49*T^30 + 40/49*T^29 + 25/49*T^28 - 32/49*T^27 - 
        6/49*T^26 + 16/49*T^25 + 8/49*T^24 - 33/49*T^23 + 17/49*T^22 + 12/49*T^21 - 
        15/49*T^20 + 20/49*T^19 - 15/49*T^18 + 3/49*T^17 - 3/49*T^15 + 15/49*T^14 - 
        20/49*T^13 + 15/49*T^12 - 12/49*T^11 - 17/49*T^10 + 33/49*T^9 - 8/49*T^8 - 
        16/49*T^7 + 6/49*T^6 + 32/49*T^5 - 25/49*T^4 - 40/49*T^3 + 103/49*T^2 - 
        16/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 2*X*Y^6 + 5*X*Y^5 + 6*X*Y^3 + 3*X*Y^2 + 5*X*Y + 3*X + 
        3*Y^18 + Y^17 + 6*Y^16 + 4*Y^15 + Y^14 + Y^13 + Y^12 + 5*Y^11 + 6*Y^10 + 
        6*Y^9 + 2*Y^8 + 3*Y^7 + 2*Y^6 + 2*Y^5 + 3*Y^4 + 4*Y^3 + 4*Y^2 + 3*Y,
    T^32 - 9/7*T^31 - 1/7*T^30 + 103/49*T^29 - 128/49*T^28 + 5/7*T^27 + 8/7*T^26 - 
        134/49*T^25 + 142/49*T^24 - 33/49*T^23 - 109/49*T^22 + 156/49*T^21 - 
        9/7*T^20 + 3/49*T^19 + 18/49*T^18 - 67/49*T^17 + 88/49*T^16 - 67/49*T^15 + 
        18/49*T^14 + 3/49*T^13 - 9/7*T^12 + 156/49*T^11 - 109/49*T^10 - 33/49*T^9 + 
        142/49*T^8 - 134/49*T^7 + 8/7*T^6 + 5/7*T^5 - 128/49*T^4 + 103/49*T^3 - 
        1/7*T^2 - 9/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 
        2*X*Y^2 + 5*X + 3*Y^18 + 5*Y^17 + Y^16 + Y^15 + 4*Y^14 + 4*Y^13 + 4*Y^12 + 
        6*Y^11 + 3*Y^10 + 4*Y^9 + Y^8 + 3*Y^7 + 4*Y^6 + Y^5 + 3*Y^4 + 6*Y^3 + 4*Y^2 
        + 2*Y + 2,
    T^32 - 3/7*T^31 - 25/49*T^30 + 4/7*T^29 - 23/49*T^28 + 52/49*T^27 + 11/49*T^26 -
        43/49*T^25 - 18/49*T^24 - 5/49*T^23 + 3/7*T^22 + 5/49*T^21 + 39/49*T^20 - 
        82/49*T^19 - 36/49*T^18 + 60/49*T^17 - 23/49*T^16 + 60/49*T^15 - 36/49*T^14 
        - 82/49*T^13 + 39/49*T^12 + 5/49*T^11 + 3/7*T^10 - 5/49*T^9 - 18/49*T^8 - 
        43/49*T^7 + 11/49*T^6 + 52/49*T^5 - 23/49*T^4 + 4/7*T^3 - 25/49*T^2 - 3/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 
        5*X*Y^2 + 4*X*Y + 2*X + 5*Y^18 + 2*Y^17 + 4*Y^16 + 4*Y^14 + Y^12 + 5*Y^11 + 
        Y^10 + 6*Y^9 + 4*Y^7 + 4*Y^6 + 5*Y^5 + 4*Y^4 + Y^3 + 5*Y^2 + 3*Y + 1,
    T^32 - 1/7*T^31 - 48/49*T^30 - 8/49*T^29 + 29/49*T^28 + 47/49*T^27 - 57/49*T^26 
        - 5/7*T^25 + 22/49*T^24 + 27/49*T^23 - 6/49*T^22 - 3/7*T^21 + 22/49*T^20 - 
        4/49*T^19 - 24/49*T^18 + 3/49*T^17 + 31/49*T^16 + 3/49*T^15 - 24/49*T^14 - 
        4/49*T^13 + 22/49*T^12 - 3/7*T^11 - 6/49*T^10 + 27/49*T^9 + 22/49*T^8 - 
        5/7*T^7 - 57/49*T^6 + 47/49*T^5 + 29/49*T^4 - 8/49*T^3 - 48/49*T^2 - 1/7*T +
        1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 2*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 
        2*X*Y + 3*X + 6*Y^18 + 4*Y^17 + 2*Y^16 + 3*Y^15 + 6*Y^14 + 4*Y^13 + 2*Y^12 +
        4*Y^11 + 6*Y^10 + 4*Y^9 + 6*Y^8 + 4*Y^7 + Y^5 + 5*Y^4 + 2*Y^3 + 2*Y^2 + 1,
    T^32 - 6/7*T^31 + 6/49*T^30 + 22/49*T^29 - 2/49*T^28 + 39/49*T^27 - 11/7*T^26 + 
        5/7*T^25 + 4/49*T^24 - 8/49*T^23 + 3/7*T^22 - 48/49*T^21 + 3/7*T^20 - 
        3/49*T^19 - 6/49*T^18 + 5/49*T^17 - 32/49*T^16 + 5/49*T^15 - 6/49*T^14 - 
        3/49*T^13 + 3/7*T^12 - 48/49*T^11 + 3/7*T^10 - 8/49*T^9 + 4/49*T^8 + 5/7*T^7
        - 11/7*T^6 + 39/49*T^5 - 2/49*T^4 + 22/49*T^3 + 6/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 2*X*Y^3 + 2*X*Y^2 + 2*X*Y + 6*X + 
        Y^18 + 5*Y^17 + 3*Y^16 + Y^14 + Y^13 + 2*Y^11 + 6*Y^10 + 2*Y^9 + 4*Y^8 + 
        2*Y^7 + 5*Y^5 + 3*Y^4 + Y^3 + Y^2 + Y + 6,
    -T^32 + 73/49*T^30 - 37/49*T^29 - 48/49*T^28 + 53/49*T^27 - 19/49*T^26 - 
        20/49*T^25 + 48/49*T^24 - 8/49*T^23 - 8/49*T^22 + 4/49*T^21 - 48/49*T^20 + 
        15/49*T^19 + 6/7*T^18 - 46/49*T^17 + 46/49*T^15 - 6/7*T^14 - 15/49*T^13 + 
        48/49*T^12 - 4/49*T^11 + 8/49*T^10 + 8/49*T^9 - 48/49*T^8 + 20/49*T^7 + 
        19/49*T^6 - 53/49*T^5 + 48/49*T^4 + 37/49*T^3 - 73/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^7 + 2*X*Y^6 + X*Y^5 + 4*X*Y^4 + X*Y^3 + 6*X*Y^2 + 4*X*Y + 
        X + 2*Y^18 + 6*Y^17 + Y^16 + 3*Y^15 + 6*Y^14 + 2*Y^13 + 2*Y^12 + 6*Y^11 + 
        Y^9 + 4*Y^8 + 6*Y^6 + 4*Y^5 + 2*Y^4 + 2*Y^2 + 2*Y + 4,
    T^32 + 4/7*T^31 - 34/49*T^30 - 1/49*T^29 + 32/49*T^28 + 34/49*T^27 + 18/49*T^26 
        - 4/49*T^25 + 6/49*T^24 + 37/49*T^22 + 57/49*T^21 - 4/49*T^20 - 5/49*T^19 + 
        23/49*T^18 + 17/49*T^17 + 23/49*T^16 + 17/49*T^15 + 23/49*T^14 - 5/49*T^13 -
        4/49*T^12 + 57/49*T^11 + 37/49*T^10 + 6/49*T^8 - 4/49*T^7 + 18/49*T^6 + 
        34/49*T^5 + 32/49*T^4 - 1/49*T^3 - 34/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 4*X*Y^2 + X + 6*Y^18 + 4*Y^17 + 2*Y^16 + 
        2*Y^15 + 2*Y^14 + 3*Y^13 + 6*Y^11 + 5*Y^10 + 6*Y^9 + 6*Y^8 + Y^7 + Y^6 + 
        5*Y^5 + 5*Y^4 + 4*Y^3 + 6*Y + 3,
    T^32 + 11/7*T^31 + 54/49*T^30 + 1/49*T^29 - 40/49*T^28 - 78/49*T^27 - 81/49*T^26
        - 37/49*T^25 + 51/49*T^24 + 76/49*T^23 + 43/49*T^22 + 17/49*T^21 - 
        22/49*T^20 - 45/49*T^19 - 55/49*T^18 - 1/7*T^17 + 19/49*T^16 - 1/7*T^15 - 
        55/49*T^14 - 45/49*T^13 - 22/49*T^12 + 17/49*T^11 + 43/49*T^10 + 76/49*T^9 +
        51/49*T^8 - 37/49*T^7 - 81/49*T^6 - 78/49*T^5 - 40/49*T^4 + 1/49*T^3 + 
        54/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 3*X*Y^2 + 6*X*Y + 6*X + 
        5*Y^18 + 4*Y^17 + 4*Y^16 + Y^15 + 6*Y^14 + 3*Y^13 + 3*Y^12 + 6*Y^11 + 5*Y^10
        + 2*Y^9 + 6*Y^8 + 6*Y^7 + Y^6 + 5*Y^4 + 5*Y^3 + 5*Y^2 + 6*Y + 5,
    T^32 - 5/7*T^31 + 13/49*T^30 - 26/49*T^29 + 13/49*T^28 + 3/49*T^27 - 11/49*T^26 
        + 51/49*T^25 - 75/49*T^24 + 45/49*T^23 - 36/49*T^22 + 48/49*T^21 - 
        24/49*T^20 - 39/49*T^19 + 38/49*T^18 - 50/49*T^17 + 76/49*T^16 - 50/49*T^15 
        + 38/49*T^14 - 39/49*T^13 - 24/49*T^12 + 48/49*T^11 - 36/49*T^10 + 45/49*T^9
        - 75/49*T^8 + 51/49*T^7 - 11/49*T^6 + 3/49*T^5 + 13/49*T^4 - 26/49*T^3 + 
        13/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + X*Y 
        + 2*Y^18 + Y^17 + 6*Y^16 + 4*Y^15 + 3*Y^14 + 2*Y^13 + 4*Y^12 + 2*Y^11 + 
        4*Y^10 + Y^9 + 3*Y^8 + 5*Y^7 + 4*Y^6 + 6*Y^5 + 6*Y^4 + 5*Y^3 + 6*Y^2 + 3,
    -T^32 + 3/7*T^31 + 13/49*T^30 + 58/49*T^29 + 8/49*T^28 - 16/49*T^27 - 48/49*T^26
        - 33/49*T^25 + 9/49*T^24 + 44/49*T^23 + 13/49*T^22 - 20/49*T^21 - 24/49*T^20
        - 2/49*T^19 + 5/7*T^18 + 30/49*T^17 - 30/49*T^15 - 5/7*T^14 + 2/49*T^13 + 
        24/49*T^12 + 20/49*T^11 - 13/49*T^10 - 44/49*T^9 - 9/49*T^8 + 33/49*T^7 + 
        48/49*T^6 + 16/49*T^5 - 8/49*T^4 - 58/49*T^3 - 13/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + X*Y^4 + 2*X*Y^3 + 
        5*X*Y^2 + X*Y + 6*X + Y^18 + 3*Y^16 + Y^15 + Y^14 + 2*Y^13 + Y^12 + 6*Y^11 +
        2*Y^10 + 6*Y^9 + 2*Y^8 + 6*Y^7 + Y^6 + 5*Y^5 + 3*Y^4 + 5*Y^3 + 3*Y^2 + 6*Y +
        5,
    -T^32 + 6/7*T^31 + 25/49*T^30 - 8/7*T^29 + 16/49*T^28 + 6/7*T^27 - 50/49*T^26 - 
        27/49*T^25 + 75/49*T^24 - 32/49*T^23 - 40/49*T^22 + 66/49*T^21 - 27/49*T^20 
        - 4/49*T^19 + 8/49*T^18 - 3/49*T^17 + 3/49*T^15 - 8/49*T^14 + 4/49*T^13 + 
        27/49*T^12 - 66/49*T^11 + 40/49*T^10 + 32/49*T^9 - 75/49*T^8 + 27/49*T^7 + 
        50/49*T^6 - 6/7*T^5 - 16/49*T^4 + 8/7*T^3 - 25/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 
        4*X*Y^2 + 4*X*Y + 5*X + 5*Y^18 + 6*Y^17 + 3*Y^16 + Y^14 + Y^13 + 4*Y^12 + 
        6*Y^11 + 3*Y^10 + 4*Y^9 + 2*Y^8 + Y^7 + 2*Y^6 + 6*Y^5 + 3*Y^4 + 6*Y^3 + 2*Y 
        + 2,
    T^32 + 3/7*T^31 - 3/49*T^30 + 31/49*T^29 + 5/7*T^28 - 34/49*T^27 + 8/49*T^26 - 
        6/7*T^24 + 5/49*T^23 + 13/49*T^22 - 27/49*T^21 - 1/7*T^20 + 33/49*T^19 - 
        3/7*T^18 - 1/49*T^17 + 1/49*T^16 - 1/49*T^15 - 3/7*T^14 + 33/49*T^13 - 
        1/7*T^12 - 27/49*T^11 + 13/49*T^10 + 5/49*T^9 - 6/7*T^8 + 8/49*T^6 - 
        34/49*T^5 + 5/7*T^4 + 31/49*T^3 - 3/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^7 + 5*X*Y^6 + X*Y^5 + 3*X*Y^4 + X*Y^3 + X*Y + 5*X + 3*Y^18
        + 3*Y^17 + 6*Y^16 + Y^15 + 4*Y^14 + 4*Y^13 + 5*Y^12 + 4*Y^10 + 6*Y^9 + 6*Y^8
        + 6*Y^7 + 3*Y^6 + 5*Y^5 + 3*Y^4 + 2*Y^3 + 3,
    T^32 - 3/7*T^31 + 4/49*T^30 + 19/49*T^29 - 24/49*T^28 + 6/49*T^27 - 2/7*T^26 + 
        2/49*T^25 - 27/49*T^24 + 25/49*T^23 - 13/49*T^22 - 17/49*T^21 + 12/49*T^20 -
        4/49*T^19 + 8/49*T^18 - 18/49*T^17 + 30/49*T^16 - 18/49*T^15 + 8/49*T^14 - 
        4/49*T^13 + 12/49*T^12 - 17/49*T^11 - 13/49*T^10 + 25/49*T^9 - 27/49*T^8 + 
        2/49*T^7 - 2/7*T^6 + 6/49*T^5 - 24/49*T^4 + 19/49*T^3 + 4/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + X*Y + 
        2*X + 5*Y^18 + Y^17 + 5*Y^16 + 4*Y^14 + 5*Y^13 + 5*Y^12 + Y^11 + 6*Y^10 + 
        5*Y^9 + 4*Y^7 + 4*Y^6 + 3*Y^5 + 3*Y^4 + Y^3 + 5*Y^2 + Y + 4,
    T^32 - 6/7*T^31 + 17/49*T^30 - 18/49*T^29 - 12/49*T^28 + 38/49*T^27 - 8/49*T^26 
        - 3/7*T^25 - 16/49*T^24 - 5/49*T^23 + 31/49*T^22 + 19/49*T^21 + 13/49*T^20 -
        26/49*T^19 - 43/49*T^18 + 9/7*T^17 - 6/7*T^16 + 9/7*T^15 - 43/49*T^14 - 
        26/49*T^13 + 13/49*T^12 + 19/49*T^11 + 31/49*T^10 - 5/49*T^9 - 16/49*T^8 - 
        3/7*T^7 - 8/49*T^6 + 38/49*T^5 - 12/49*T^4 - 18/49*T^3 + 17/49*T^2 - 6/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        2*X*Y^2 + 3*X*Y + 3*X + 5*Y^18 + 4*Y^17 + 3*Y^16 + 3*Y^14 + 6*Y^13 + 3*Y^12 
        + 5*Y^11 + 4*Y^10 + 6*Y^9 + 6*Y^8 + 3*Y^7 + 4*Y^6 + 4*Y^5 + 2*Y^4 + 5*Y^3 + 
        5*Y + 1,
    T^32 - T^31 + 11/49*T^30 - 1/49*T^29 + 1/49*T^28 - 2/49*T^27 - 11/49*T^26 + 
        32/49*T^25 - 26/49*T^24 - 2/49*T^23 + 15/49*T^22 + 12/49*T^21 - 6/49*T^20 - 
        22/49*T^19 + 10/49*T^18 + 2/7*T^17 - 1/49*T^16 + 2/7*T^15 + 10/49*T^14 - 
        22/49*T^13 - 6/49*T^12 + 12/49*T^11 + 15/49*T^10 - 2/49*T^9 - 26/49*T^8 + 
        32/49*T^7 - 11/49*T^6 - 2/49*T^5 + 1/49*T^4 - 1/49*T^3 + 11/49*T^2 - T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + X*Y + 
        5*Y^18 + 3*Y^17 + 3*Y^16 + 2*Y^15 + 6*Y^14 + 6*Y^13 + 2*Y^12 + 3*Y^10 + 
        6*Y^9 + Y^8 + Y^7 + Y^4 + Y^3 + 4*Y^2 + 2*Y + 4,
    -T^32 - 8/7*T^31 + 5/7*T^30 + 87/49*T^29 + 31/49*T^28 - 51/49*T^27 - 52/49*T^26 
        + 4/7*T^25 + 86/49*T^24 + 13/49*T^23 - 74/49*T^22 - 5/7*T^21 + 57/49*T^20 + 
        44/49*T^19 - 47/49*T^18 - 12/7*T^17 + 12/7*T^15 + 47/49*T^14 - 44/49*T^13 - 
        57/49*T^12 + 5/7*T^11 + 74/49*T^10 - 13/49*T^9 - 86/49*T^8 - 4/7*T^7 + 
        52/49*T^6 + 51/49*T^5 - 31/49*T^4 - 87/49*T^3 - 5/7*T^2 + 8/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + X*Y^5 + X*Y^4 + 5*X*Y^3 + 5*X*Y^2 + 6*X*Y + 
        5*X + 6*Y^18 + 5*Y^17 + 6*Y^16 + 6*Y^15 + 5*Y^14 + Y^13 + 3*Y^11 + 4*Y^9 + 
        4*Y^8 + 3*Y^7 + 5*Y^6 + 4*Y^5 + 4*Y^3 + Y^2 + 6*Y + 6,
    T^32 - 1/7*T^31 - 22/49*T^30 - 1/7*T^29 - 3/7*T^28 - 20/49*T^27 + 26/49*T^26 + 
        26/49*T^25 + 5/49*T^24 + 29/49*T^23 + 6/49*T^22 - 46/49*T^21 - 19/49*T^20 + 
        11/49*T^19 - 9/49*T^18 + 3/7*T^17 + 20/49*T^16 + 3/7*T^15 - 9/49*T^14 + 
        11/49*T^13 - 19/49*T^12 - 46/49*T^11 + 6/49*T^10 + 29/49*T^9 + 5/49*T^8 + 
        26/49*T^7 + 26/49*T^6 - 20/49*T^5 - 3/7*T^4 - 1/7*T^3 - 22/49*T^2 - 1/7*T + 
        1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + X*Y^5 + 2*X*Y^4 + 4*X*Y^2 + 2*X*Y 
        + 6*X + 2*Y^18 + 3*Y^17 + 4*Y^16 + 5*Y^15 + 5*Y^14 + 4*Y^13 + 6*Y^12 + 
        6*Y^11 + 3*Y^10 + 4*Y^9 + 3*Y^8 + 2*Y^6 + 6*Y^5 + 4*Y^4 + 6*Y^3 + 6*Y^2 + 
        3*Y + 6,
    T^32 - 3/7*T^31 - 94/49*T^30 + 71/49*T^29 + 50/49*T^28 - 86/49*T^27 + 58/49*T^26
        + 40/49*T^25 - 138/49*T^24 + 52/49*T^23 + 120/49*T^22 - 138/49*T^21 - 
        12/49*T^20 + 19/7*T^19 - 83/49*T^18 - 51/49*T^17 + 109/49*T^16 - 51/49*T^15 
        - 83/49*T^14 + 19/7*T^13 - 12/49*T^12 - 138/49*T^11 + 120/49*T^10 + 
        52/49*T^9 - 138/49*T^8 + 40/49*T^7 + 58/49*T^6 - 86/49*T^5 + 50/49*T^4 + 
        71/49*T^3 - 94/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + X*Y^4 + 3*X*Y^3 + X*Y^2 
        + X*Y + 4*X + Y^18 + 6*Y^17 + 3*Y^16 + 6*Y^15 + 4*Y^14 + Y^13 + 2*Y^12 + 
        4*Y^11 + 3*Y^10 + 4*Y^9 + 6*Y^7 + 4*Y^6 + 4*Y^5 + 2*Y^4 + 3*Y + 3,
    T^32 - 4/7*T^31 - 20/49*T^30 - 11/49*T^29 - 9/49*T^28 + 11/49*T^27 + 11/49*T^26 
        + 22/49*T^25 - 26/49*T^24 - 3/7*T^23 + 15/49*T^22 + 11/49*T^21 + 9/49*T^20 -
        2/49*T^17 - 13/49*T^16 - 2/49*T^15 + 9/49*T^12 + 11/49*T^11 + 15/49*T^10 - 
        3/7*T^9 - 26/49*T^8 + 22/49*T^7 + 11/49*T^6 + 11/49*T^5 - 9/49*T^4 - 
        11/49*T^3 - 20/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 3*X*Y^5 + 3*X*Y^4 + X*Y^3 + 3*X*Y^2 + 5*X*Y 
        + 5*X + 4*Y^18 + Y^17 + 6*Y^16 + 6*Y^15 + 2*Y^14 + 6*Y^13 + 2*Y^10 + 4*Y^9 +
        4*Y^7 + 2*Y^6 + Y^5 + 3*Y^4 + 5*Y^2 + 3*Y + 1,
    T^32 + 1/7*T^31 - 19/49*T^30 - 4/49*T^29 - 2/49*T^28 - 41/49*T^27 - 23/49*T^26 +
        2/49*T^25 + 12/49*T^24 + 6/49*T^23 + 25/49*T^22 + 3/7*T^21 - 3/49*T^20 - 
        13/49*T^19 + 3/49*T^18 - 10/49*T^17 - 4/49*T^16 - 10/49*T^15 + 3/49*T^14 - 
        13/49*T^13 - 3/49*T^12 + 3/7*T^11 + 25/49*T^10 + 6/49*T^9 + 12/49*T^8 + 
        2/49*T^7 - 23/49*T^6 - 41/49*T^5 - 2/49*T^4 - 4/49*T^3 - 19/49*T^2 + 1/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + 
        5*X*Y + 4*X + Y^18 + 2*Y^17 + 3*Y^15 + 2*Y^13 + Y^12 + 4*Y^11 + 2*Y^10 + 
        3*Y^9 + Y^8 + 3*Y^7 + 2*Y^5 + 3*Y^4 + 4*Y^2 + 4*Y,
    T^32 - 10/7*T^31 - 22/49*T^30 + 123/49*T^29 - 73/49*T^28 - 73/49*T^27 + 
        82/49*T^26 + 37/49*T^25 - 9/7*T^24 - 30/49*T^23 + 66/49*T^22 + 32/49*T^21 - 
        78/49*T^20 + 10/49*T^19 + T^18 - 25/49*T^17 - 12/49*T^16 - 25/49*T^15 + T^14
        + 10/49*T^13 - 78/49*T^12 + 32/49*T^11 + 66/49*T^10 - 30/49*T^9 - 9/7*T^8 + 
        37/49*T^7 + 82/49*T^6 - 73/49*T^5 - 73/49*T^4 + 123/49*T^3 - 22/49*T^2 - 
        10/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 4*X*Y^7 + 5*X*Y^5 + X*Y^3 + X*Y^2 + 4*X*Y + 5*X + 3*Y^18 + 
        5*Y^16 + 2*Y^13 + 2*Y^12 + 2*Y^11 + 4*Y^10 + Y^8 + 5*Y^6 + 6*Y^5 + 4*Y^4 + 
        6*Y^2 + Y + 4,
    T^32 - 2*T^31 + 150/49*T^30 - 142/49*T^29 + 109/49*T^28 - 38/49*T^27 - 5/7*T^26 
        + 92/49*T^25 - 102/49*T^24 + 95/49*T^23 - 9/7*T^22 + 40/49*T^21 + 1/7*T^20 -
        45/49*T^19 + 103/49*T^18 - 146/49*T^17 + 169/49*T^16 - 146/49*T^15 + 
        103/49*T^14 - 45/49*T^13 + 1/7*T^12 + 40/49*T^11 - 9/7*T^10 + 95/49*T^9 - 
        102/49*T^8 + 92/49*T^7 - 5/7*T^6 - 38/49*T^5 + 109/49*T^4 - 142/49*T^3 + 
        150/49*T^2 - 2*T + 1
*], [*
    X^3 + 4*X*Y^8 + 2*X*Y^7 + X*Y^6 + 2*X*Y^5 + X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + X*Y + 
        6*Y^18 + Y^17 + 5*Y^16 + Y^13 + 6*Y^12 + 2*Y^11 + 2*Y^10 + Y^9 + 5*Y^8 + 
        5*Y^7 + Y^6 + Y^4 + 4*Y^3 + 6*Y^2 + Y + 1,
    -T^32 - 12/49*T^30 - 1/49*T^29 + 23/49*T^28 - 11/49*T^27 + 11/49*T^26 + 
        16/49*T^25 + 22/49*T^24 + 6/49*T^23 + 11/49*T^22 + 5/49*T^21 - 3/7*T^20 + 
        19/49*T^19 - 8/49*T^18 + 11/49*T^17 - 11/49*T^15 + 8/49*T^14 - 19/49*T^13 + 
        3/7*T^12 - 5/49*T^11 - 11/49*T^10 - 6/49*T^9 - 22/49*T^8 - 16/49*T^7 - 
        11/49*T^6 + 11/49*T^5 - 23/49*T^4 + 1/49*T^3 + 12/49*T^2 + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 2*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 2*X 
        + Y^18 + 3*Y^17 + 4*Y^16 + 5*Y^15 + 3*Y^13 + 3*Y^12 + 4*Y^10 + 4*Y^9 + 5*Y^7
        + Y^6 + 6*Y^5 + 5*Y^4 + 4*Y^3 + Y^2 + 1,
    -T^32 - 2/7*T^31 + 44/49*T^30 - 39/49*T^29 - 32/49*T^28 + 43/49*T^27 + 9/49*T^26
        - 24/49*T^25 - 19/49*T^24 + 18/49*T^23 + 23/49*T^22 - 26/49*T^21 - 
        29/49*T^20 + 47/49*T^19 + 6/7*T^18 - 58/49*T^17 + 58/49*T^15 - 6/7*T^14 - 
        47/49*T^13 + 29/49*T^12 + 26/49*T^11 - 23/49*T^10 - 18/49*T^9 + 19/49*T^8 + 
        24/49*T^7 - 9/49*T^6 - 43/49*T^5 + 32/49*T^4 + 39/49*T^3 - 44/49*T^2 + 2/7*T
        + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + X*Y^7 + 4*X*Y^6 + X*Y^5 + 6*X*Y^4 + X*Y^3 + 3*X*Y^2 + 
        X*Y + 6*X + 3*Y^18 + 3*Y^17 + 5*Y^16 + 6*Y^15 + Y^14 + 3*Y^13 + Y^12 + 
        4*Y^11 + 6*Y^9 + 4*Y^8 + 6*Y^7 + 4*Y^6 + 5*Y^5 + Y^4 + 3*Y^3 + 4*Y^2 + 6,
    -T^32 + 1/7*T^31 + 43/49*T^30 + 59/49*T^29 + 10/49*T^28 - 58/49*T^27 - 
        43/49*T^26 - 20/49*T^25 + 12/49*T^24 + 39/49*T^22 + 34/49*T^21 - 11/49*T^20 
        - 23/49*T^19 - 18/49*T^18 + 12/49*T^17 - 12/49*T^15 + 18/49*T^14 + 
        23/49*T^13 + 11/49*T^12 - 34/49*T^11 - 39/49*T^10 - 12/49*T^8 + 20/49*T^7 + 
        43/49*T^6 + 58/49*T^5 - 10/49*T^4 - 59/49*T^3 - 43/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 6*X*Y^3 + X*Y^2 + 5*X*Y 
        + 6*X + Y^18 + 4*Y^17 + 4*Y^15 + 5*Y^14 + 6*Y^13 + 5*Y^12 + 6*Y^11 + 5*Y^10 
        + 4*Y^8 + 5*Y^7 + 4*Y^6 + 6*Y^5 + 2*Y^4 + 4*Y^3 + Y^2 + 6*Y + 3,
    T^32 + 1/7*T^31 - 60/49*T^30 - 9/49*T^29 + 33/49*T^28 - 6/49*T^27 - 9/49*T^26 - 
        18/49*T^25 - 3/49*T^24 + 54/49*T^23 - 6/49*T^22 - 55/49*T^21 - 2/7*T^20 + 
        10/49*T^19 + 11/49*T^18 + 16/49*T^17 + 16/49*T^15 + 11/49*T^14 + 10/49*T^13 
        - 2/7*T^12 - 55/49*T^11 - 6/49*T^10 + 54/49*T^9 - 3/49*T^8 - 18/49*T^7 - 
        9/49*T^6 - 6/49*T^5 + 33/49*T^4 - 9/49*T^3 - 60/49*T^2 + 1/7*T + 1
*], [*
    X^3 + X*Y^6 + X*Y^5 + X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 6*X*Y + X + 6*Y^18 + 2*Y^17 + 
        2*Y^15 + 4*Y^14 + 6*Y^13 + Y^12 + 2*Y^11 + 6*Y^10 + 2*Y^9 + 4*Y^8 + 4*Y^7 + 
        5*Y^6 + Y^4 + 5*Y^3 + 5*Y^2 + Y + 3,
    -T^32 - 3/7*T^31 - 3/49*T^30 + 3/49*T^29 - 18/49*T^28 + 12/49*T^27 + 16/49*T^26 
        + 17/49*T^25 + 8/49*T^24 + 29/49*T^23 + 22/49*T^22 + 2/7*T^21 + 2/7*T^20 - 
        17/49*T^19 - 11/49*T^18 + 1/7*T^17 - 1/7*T^15 + 11/49*T^14 + 17/49*T^13 - 
        2/7*T^12 - 2/7*T^11 - 22/49*T^10 - 29/49*T^9 - 8/49*T^8 - 17/49*T^7 - 
        16/49*T^6 - 12/49*T^5 + 18/49*T^4 - 3/49*T^3 + 3/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^6 + 6*X*Y^5 + 6*X*Y^3 + 5*X*Y + 5*X + 3*Y^18 + Y^17 + 
        4*Y^16 + 5*Y^15 + 3*Y^14 + 3*Y^13 + 4*Y^12 + Y^11 + 5*Y^9 + 6*Y^8 + Y^7 + 
        4*Y^6 + 3*Y^5 + 2*Y^3 + 5*Y^2 + Y + 3,
    T^32 - 10/7*T^31 + T^30 - 3/7*T^29 - 27/49*T^28 + 48/49*T^27 - 61/49*T^26 + 
        45/49*T^25 - 8/49*T^24 - 34/49*T^23 + 74/49*T^22 - 13/7*T^21 + 53/49*T^20 - 
        17/49*T^19 - 10/49*T^18 + 50/49*T^17 - 57/49*T^16 + 50/49*T^15 - 10/49*T^14 
        - 17/49*T^13 + 53/49*T^12 - 13/7*T^11 + 74/49*T^10 - 34/49*T^9 - 8/49*T^8 + 
        45/49*T^7 - 61/49*T^6 + 48/49*T^5 - 27/49*T^4 - 3/7*T^3 + T^2 - 10/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + 6*X*Y + 2*X + 3*Y^18 + 2*Y^17 + 5*Y^16 + 6*Y^15 + 3*Y^14 + 6*Y^13 
        + 4*Y^11 + 5*Y^10 + 4*Y^9 + 5*Y^8 + Y^7 + 6*Y^6 + 3*Y^5 + 6*Y^4 + 4*Y^3 + 
        3*Y^2 + 6,
    T^32 - 11/7*T^31 + 41/49*T^30 - 12/49*T^29 - 8/49*T^28 + 81/49*T^27 - 
        130/49*T^26 + 111/49*T^25 - 10/7*T^24 - 17/49*T^23 + 107/49*T^22 - 
        136/49*T^21 + 106/49*T^20 - 8/7*T^19 - 18/49*T^18 + 106/49*T^17 - 
        150/49*T^16 + 106/49*T^15 - 18/49*T^14 - 8/7*T^13 + 106/49*T^12 - 
        136/49*T^11 + 107/49*T^10 - 17/49*T^9 - 10/7*T^8 + 111/49*T^7 - 130/49*T^6 +
        81/49*T^5 - 8/49*T^4 - 12/49*T^3 + 41/49*T^2 - 11/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 6*X*Y^7 + X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + X*Y^3 + 4*X*Y^2 + 
        X*Y + 2*X + 6*Y^18 + 3*Y^16 + 2*Y^15 + 5*Y^14 + 2*Y^13 + Y^11 + 6*Y^10 + 
        2*Y^9 + 6*Y^8 + 4*Y^5 + 5*Y^4 + 6*Y^3 + 5*Y^2 + 6*Y + 4,
    -T^32 - T^31 + 2/49*T^30 + 34/49*T^29 + 50/49*T^28 + 26/49*T^27 - 33/49*T^26 - 
        41/49*T^25 - 13/49*T^24 - 9/49*T^23 + T^22 + 76/49*T^21 + 4/7*T^20 - 
        17/49*T^19 - T^18 - 60/49*T^17 + 60/49*T^15 + T^14 + 17/49*T^13 - 4/7*T^12 -
        76/49*T^11 - T^10 + 9/49*T^9 + 13/49*T^8 + 41/49*T^7 + 33/49*T^6 - 26/49*T^5
        - 50/49*T^4 - 34/49*T^3 - 2/49*T^2 + T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + X*Y^5 + 2*X*Y^3 + 4*X*Y^2 + 4*X*Y 
        + 2*X + 2*Y^18 + 5*Y^17 + 3*Y^16 + 3*Y^15 + 5*Y^14 + 2*Y^13 + 4*Y^12 + 
        5*Y^11 + Y^10 + Y^9 + 6*Y^7 + 3*Y^5 + 3*Y^4 + 6*Y^3,
    -T^32 - 2/7*T^31 + 19/49*T^30 - 47/49*T^29 + 4/49*T^28 + 27/49*T^27 - 8/49*T^26 
        + 6/7*T^25 - 2/49*T^24 + 30/49*T^23 + 52/49*T^22 - 73/49*T^21 - 1/7*T^20 + 
        22/49*T^19 - 8/7*T^18 + 15/49*T^17 - 15/49*T^15 + 8/7*T^14 - 22/49*T^13 + 
        1/7*T^12 + 73/49*T^11 - 52/49*T^10 - 30/49*T^9 + 2/49*T^8 - 6/7*T^7 + 
        8/49*T^6 - 27/49*T^5 - 4/49*T^4 + 47/49*T^3 - 19/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 3*X*Y^2 + 5*X*Y 
        + 5*Y^18 + 5*Y^17 + Y^16 + 5*Y^15 + 6*Y^14 + 6*Y^13 + Y^12 + 3*Y^11 + Y^10 +
        3*Y^9 + 6*Y^7 + 2*Y^6 + 3*Y^5 + 2*Y^4 + 6*Y^2 + 5*Y + 6,
    -T^32 - 5/7*T^31 + 18/49*T^30 - 4/49*T^29 - 8/49*T^28 - 45/49*T^27 - 23/49*T^26 
        + 37/49*T^25 + 24/49*T^24 + 11/49*T^23 + 2/49*T^22 + 44/49*T^21 + 33/49*T^20
        + 9/49*T^19 + 39/49*T^18 - 4/49*T^17 + 4/49*T^15 - 39/49*T^14 - 9/49*T^13 - 
        33/49*T^12 - 44/49*T^11 - 2/49*T^10 - 11/49*T^9 - 24/49*T^8 - 37/49*T^7 + 
        23/49*T^6 + 45/49*T^5 + 8/49*T^4 + 4/49*T^3 - 18/49*T^2 + 5/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 4*X*Y + 
        2*X + 3*Y^18 + 2*Y^17 + 5*Y^15 + Y^14 + 4*Y^12 + Y^10 + 2*Y^9 + 5*Y^8 + 
        4*Y^7 + 3*Y^6 + 2*Y^5 + Y^3 + 2*Y^2 + 5*Y + 6,
    T^32 - T^31 - 4/49*T^30 + T^29 - T^28 - 15/49*T^27 + 11/7*T^26 - 74/49*T^25 + 
        12/49*T^24 + 71/49*T^23 - 12/7*T^22 + 2/49*T^21 + 9/7*T^20 - 10/7*T^19 + 
        2/7*T^18 + 44/49*T^17 - 71/49*T^16 + 44/49*T^15 + 2/7*T^14 - 10/7*T^13 + 
        9/7*T^12 + 2/49*T^11 - 12/7*T^10 + 71/49*T^9 + 12/49*T^8 - 74/49*T^7 + 
        11/7*T^6 - 15/49*T^5 - T^4 + T^3 - 4/49*T^2 - T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^7 + 5*X*Y^6 + 6*X*Y + X + 2*Y^18 + 3*Y^17 + 2*Y^15 + 
        4*Y^14 + 4*Y^12 + 3*Y^11 + 5*Y^10 + 5*Y^9 + 3*Y^8 + Y^5 + Y^4 + 3*Y^3 + 
        3*Y^2 + 3*Y,
    T^32 - 5/7*T^31 - 6/7*T^30 + 18/49*T^29 + 59/49*T^28 - 12/49*T^27 - 50/49*T^26 +
        11/49*T^25 + 2/7*T^24 + 11/49*T^23 - 3/49*T^22 + 16/49*T^21 - 26/49*T^20 + 
        2/49*T^19 + 26/49*T^18 - 11/49*T^17 - 5/49*T^16 - 11/49*T^15 + 26/49*T^14 + 
        2/49*T^13 - 26/49*T^12 + 16/49*T^11 - 3/49*T^10 + 11/49*T^9 + 2/7*T^8 + 
        11/49*T^7 - 50/49*T^6 - 12/49*T^5 + 59/49*T^4 + 18/49*T^3 - 6/7*T^2 - 5/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        3*X*Y^2 + 6*X*Y + X + 4*Y^18 + 6*Y^17 + 6*Y^16 + Y^15 + 2*Y^14 + Y^13 + 
        6*Y^12 + Y^11 + 5*Y^10 + 2*Y^9 + 6*Y^7 + Y^6 + 3*Y^5 + 5*Y^4 + 6*Y^3 + 4*Y^2
        + 4*Y + 4,
    -T^32 + 1/49*T^30 + 17/49*T^29 - 24/49*T^28 - 34/49*T^27 + 5/49*T^26 + 9/49*T^25
        + 5/7*T^24 - 41/49*T^23 - 12/49*T^22 - 9/49*T^21 + 30/49*T^20 + 13/49*T^19 -
        10/49*T^18 - 5/7*T^17 + 5/7*T^15 + 10/49*T^14 - 13/49*T^13 - 30/49*T^12 + 
        9/49*T^11 + 12/49*T^10 + 41/49*T^9 - 5/7*T^8 - 9/49*T^7 - 5/49*T^6 + 
        34/49*T^5 + 24/49*T^4 - 17/49*T^3 - 1/49*T^2 + 1
*], [*
    X^3 + 6*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 6*X*Y^3 + 2*X*Y^2 + 3*X*Y + 6*Y^18
        + 5*Y^17 + Y^16 + 2*Y^15 + 2*Y^13 + 3*Y^12 + 2*Y^11 + 5*Y^10 + 6*Y^9 + 3*Y^8
        + 4*Y^6 + 3*Y^5 + Y^4 + Y^3 + 5*Y^2 + Y + 2,
    -T^32 - 12/49*T^30 - 31/49*T^29 - 19/49*T^28 - 40/49*T^27 - 13/49*T^26 - 
        60/49*T^25 - 6/49*T^24 - 48/49*T^23 - 53/49*T^22 - 4/49*T^21 - 45/49*T^20 + 
        26/49*T^19 - 50/49*T^18 + 4/49*T^17 - 4/49*T^15 + 50/49*T^14 - 26/49*T^13 + 
        45/49*T^12 + 4/49*T^11 + 53/49*T^10 + 48/49*T^9 + 6/49*T^8 + 60/49*T^7 + 
        13/49*T^6 + 40/49*T^5 + 19/49*T^4 + 31/49*T^3 + 12/49*T^2 + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 3*X*Y^4 + X*Y^3 + 2*X*Y^2 + 2*X*Y 
        + 2*Y^18 + 2*Y^17 + 5*Y^16 + 2*Y^15 + 2*Y^14 + 2*Y^13 + 3*Y^12 + 4*Y^11 + 
        Y^10 + 2*Y^9 + Y^8 + 6*Y^7 + 6*Y^6 + 5*Y^5 + 2*Y^3 + 5*Y^2 + 4,
    -T^32 + 6/7*T^31 - 37/49*T^30 - 25/49*T^29 - 25/49*T^28 + 32/49*T^27 - 
        100/49*T^26 + 19/49*T^25 - 40/49*T^24 - 6/49*T^23 - 51/49*T^22 + 15/49*T^21 
        - 6/7*T^20 + 1/7*T^19 - 27/49*T^18 + 4/49*T^17 - 4/49*T^15 + 27/49*T^14 - 
        1/7*T^13 + 6/7*T^12 - 15/49*T^11 + 51/49*T^10 + 6/49*T^9 + 40/49*T^8 - 
        19/49*T^7 + 100/49*T^6 - 32/49*T^5 + 25/49*T^4 + 25/49*T^3 + 37/49*T^2 - 
        6/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 4*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 3*X + 
        5*Y^18 + 2*Y^17 + 5*Y^15 + 5*Y^13 + 2*Y^12 + Y^11 + 6*Y^10 + 4*Y^8 + 6*Y^7 +
        5*Y^6 + 6*Y^4 + 3*Y^3 + 2*Y^2 + 3*Y + 1,
    T^32 + T^31 + 13/49*T^30 - 46/49*T^29 - 48/49*T^28 - 30/49*T^27 + 18/49*T^26 + 
        6/49*T^25 - 11/49*T^24 - 26/49*T^23 - 2/7*T^22 + 2/49*T^21 + 6/49*T^20 - 
        4/49*T^19 - 2/49*T^18 + 25/49*T^17 + 30/49*T^16 + 25/49*T^15 - 2/49*T^14 - 
        4/49*T^13 + 6/49*T^12 + 2/49*T^11 - 2/7*T^10 - 26/49*T^9 - 11/49*T^8 + 
        6/49*T^7 + 18/49*T^6 - 30/49*T^5 - 48/49*T^4 - 46/49*T^3 + 13/49*T^2 + T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 3*X*Y^2 + 6*X*Y 
        + 4*X + 4*Y^18 + 5*Y^17 + Y^16 + 6*Y^15 + 5*Y^14 + 4*Y^13 + 5*Y^12 + 2*Y^11 
        + 6*Y^10 + 3*Y^9 + 4*Y^8 + 3*Y^6 + 4*Y^5 + 5*Y^4 + 4*Y^3 + Y^2 + 2*Y + 6,
    -T^32 - 4/7*T^31 + 9/49*T^30 - 15/49*T^29 + 40/49*T^28 + 54/49*T^27 + 20/49*T^26
        + 47/49*T^25 + 20/49*T^24 - 29/49*T^23 - 16/49*T^22 - 24/49*T^21 - 
        53/49*T^20 - 25/49*T^19 - 15/49*T^18 - 3/7*T^17 + 3/7*T^15 + 15/49*T^14 + 
        25/49*T^13 + 53/49*T^12 + 24/49*T^11 + 16/49*T^10 + 29/49*T^9 - 20/49*T^8 - 
        47/49*T^7 - 20/49*T^6 - 54/49*T^5 - 40/49*T^4 + 15/49*T^3 - 9/49*T^2 + 4/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + X*Y^3 + 5*X*Y^2 
        + 2*X + 6*Y^18 + 2*Y^17 + Y^16 + 2*Y^15 + 4*Y^14 + 3*Y^13 + 3*Y^12 + 4*Y^11 
        + Y^10 + 2*Y^8 + 4*Y^7 + 2*Y^6 + 5*Y^5 + 3*Y^4 + 6*Y^3 + 6*Y^2 + 3*Y + 1,
    -T^32 - 6/7*T^31 + 32/49*T^30 + 50/49*T^29 + 46/49*T^28 + 60/49*T^27 + 
        46/49*T^26 - 31/49*T^25 - 81/49*T^24 - 107/49*T^23 - 75/49*T^22 + 9/49*T^21 
        + 6/7*T^20 + 81/49*T^19 + 2*T^18 + 66/49*T^17 - 66/49*T^15 - 2*T^14 - 
        81/49*T^13 - 6/7*T^12 - 9/49*T^11 + 75/49*T^10 + 107/49*T^9 + 81/49*T^8 + 
        31/49*T^7 - 46/49*T^6 - 60/49*T^5 - 46/49*T^4 - 50/49*T^3 - 32/49*T^2 + 
        6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 3*X*Y^7 + X*Y^6 + 5*X*Y^5 + X*Y^3 + X*Y^2 + 2*X*Y + 6*X 
        + 3*Y^18 + 2*Y^17 + 6*Y^16 + 4*Y^15 + 5*Y^14 + 2*Y^13 + 2*Y^12 + 2*Y^11 + 
        2*Y^10 + Y^9 + 3*Y^8 + 5*Y^7 + 6*Y^6 + 6*Y^5 + 6*Y^4 + 4*Y^3 + 6*Y^2 + 3*Y +
        5,
    -T^32 + 10/7*T^31 - 3/7*T^30 + 18/49*T^29 - 6/7*T^28 + 13/49*T^27 + 2/49*T^26 + 
        31/49*T^25 - 4/7*T^24 - 2/49*T^23 - 13/49*T^22 + 11/49*T^21 + 16/49*T^20 - 
        13/49*T^19 + 27/49*T^18 - 44/49*T^17 + 44/49*T^15 - 27/49*T^14 + 13/49*T^13 
        - 16/49*T^12 - 11/49*T^11 + 13/49*T^10 + 2/49*T^9 + 4/7*T^8 - 31/49*T^7 - 
        2/49*T^6 - 13/49*T^5 + 6/7*T^4 - 18/49*T^3 + 3/7*T^2 - 10/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        4*X*Y^2 + 5*X + 6*Y^18 + 6*Y^16 + Y^15 + Y^14 + 6*Y^13 + 3*Y^12 + 2*Y^11 + 
        Y^10 + Y^9 + 3*Y^8 + 4*Y^6 + 4*Y^5 + 3*Y^4 + Y^2 + 6*Y + 5,
    T^32 + 18/49*T^30 - 46/49*T^29 + 1/7*T^28 + 41/49*T^27 + 17/49*T^26 - 74/49*T^24
        - 17/49*T^23 + 26/49*T^22 + 50/49*T^21 - 6/49*T^20 - 57/49*T^19 - 51/49*T^18
        + 23/49*T^17 + 41/49*T^16 + 23/49*T^15 - 51/49*T^14 - 57/49*T^13 - 6/49*T^12
        + 50/49*T^11 + 26/49*T^10 - 17/49*T^9 - 74/49*T^8 + 17/49*T^6 + 41/49*T^5 + 
        1/7*T^4 - 46/49*T^3 + 18/49*T^2 + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 4*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 5*X*Y 
        + 4*X + 6*Y^18 + 4*Y^16 + 6*Y^15 + 3*Y^14 + Y^13 + 2*Y^12 + 6*Y^11 + 3*Y^10 
        + Y^8 + 5*Y^7 + 3*Y^6 + 3*Y^5 + 6*Y^4 + 6*Y^3 + 4*Y^2 + 6*Y + 3,
    T^32 + 6/7*T^31 + 27/49*T^30 + 5/49*T^29 - 16/49*T^28 - 10/49*T^27 - 66/49*T^26 
        - 43/49*T^25 - 4/49*T^24 + 1/7*T^23 + 26/49*T^22 + 37/49*T^21 + 62/49*T^20 +
        19/49*T^19 - 43/49*T^18 - 47/49*T^17 - 41/49*T^16 - 47/49*T^15 - 43/49*T^14 
        + 19/49*T^13 + 62/49*T^12 + 37/49*T^11 + 26/49*T^10 + 1/7*T^9 - 4/49*T^8 - 
        43/49*T^7 - 66/49*T^6 - 10/49*T^5 - 16/49*T^4 + 5/49*T^3 + 27/49*T^2 + 6/7*T
        + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + X*Y^2 + 2*X*Y 
        + X + Y^18 + Y^17 + 4*Y^16 + 5*Y^15 + 2*Y^13 + Y^12 + 5*Y^11 + 5*Y^10 + Y^9 
        + 4*Y^7 + 6*Y^6 + 3*Y^5 + 4*Y^4 + 4*Y^3 + Y^2 + 6*Y + 1,
    -T^32 + T^30 + 36/49*T^29 - 16/49*T^28 - T^27 - 1/7*T^26 + 16/49*T^25 + 
        3/49*T^24 - 6/49*T^23 - 4/49*T^22 - 1/7*T^21 + 41/49*T^20 + 25/49*T^19 - 
        32/49*T^18 - 59/49*T^17 + 59/49*T^15 + 32/49*T^14 - 25/49*T^13 - 41/49*T^12 
        + 1/7*T^11 + 4/49*T^10 + 6/49*T^9 - 3/49*T^8 - 16/49*T^7 + 1/7*T^6 + T^5 + 
        16/49*T^4 - 36/49*T^3 - T^2 + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 6*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + X*Y 
        + 5*X + 4*Y^18 + 3*Y^17 + 2*Y^16 + 5*Y^15 + 5*Y^14 + 4*Y^13 + Y^12 + Y^11 + 
        Y^9 + 3*Y^6 + Y^5 + 6*Y^4 + 2*Y^3 + 3*Y^2 + 3*Y + 1,
    -T^32 - 2/7*T^31 - 19/49*T^30 + 17/49*T^29 + 2/7*T^28 - 3/7*T^27 - 43/49*T^26 - 
        T^25 - 4/49*T^24 + 2/49*T^23 + 17/49*T^22 + 12/49*T^21 - 9/49*T^20 - 
        6/49*T^19 - 30/49*T^18 - 17/49*T^17 + 17/49*T^15 + 30/49*T^14 + 6/49*T^13 + 
        9/49*T^12 - 12/49*T^11 - 17/49*T^10 - 2/49*T^9 + 4/49*T^8 + T^7 + 43/49*T^6 
        + 3/7*T^5 - 2/7*T^4 - 17/49*T^3 + 19/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 6*X + 
        5*Y^18 + 3*Y^16 + 3*Y^15 + 5*Y^14 + Y^13 + 3*Y^12 + 4*Y^11 + 6*Y^10 + 4*Y^9 
        + 2*Y^8 + 6*Y^7 + 5*Y^6 + 3*Y^5 + 3*Y^3 + 2*Y^2 + 3*Y + 1,
    T^32 + 4/7*T^31 - 39/49*T^30 - 45/49*T^29 + 17/49*T^28 + T^27 + 1/7*T^26 - 
        29/49*T^25 - 27/49*T^24 + 39/49*T^23 + 30/49*T^22 - 27/49*T^21 - 38/49*T^20 
        + 11/49*T^19 + 34/49*T^18 - 6/49*T^17 - 25/49*T^16 - 6/49*T^15 + 34/49*T^14 
        + 11/49*T^13 - 38/49*T^12 - 27/49*T^11 + 30/49*T^10 + 39/49*T^9 - 27/49*T^8 
        - 29/49*T^7 + 1/7*T^6 + T^5 + 17/49*T^4 - 45/49*T^3 - 39/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + X*Y^5 + X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 2*X*Y + 
        X + Y^18 + 5*Y^17 + 5*Y^16 + 3*Y^15 + 5*Y^14 + Y^13 + 3*Y^12 + 6*Y^11 + Y^10
        + Y^9 + 4*Y^8 + 6*Y^7 + 3*Y^6 + 5*Y^5 + 4*Y^4 + 2*Y^2 + 2*Y + 4,
    T^32 - 4/7*T^31 + 29/49*T^30 + 36/49*T^29 - 12/49*T^28 + 66/49*T^27 - 31/49*T^26
        + 50/49*T^25 + 2/49*T^24 - 9/49*T^23 + 31/49*T^22 - 31/49*T^21 + 18/49*T^20 
        - 20/49*T^19 - 30/49*T^18 - 15/49*T^17 - 2/7*T^16 - 15/49*T^15 - 30/49*T^14 
        - 20/49*T^13 + 18/49*T^12 - 31/49*T^11 + 31/49*T^10 - 9/49*T^9 + 2/49*T^8 + 
        50/49*T^7 - 31/49*T^6 + 66/49*T^5 - 12/49*T^4 + 36/49*T^3 + 29/49*T^2 - 
        4/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 
        2*X*Y^2 + 5*X*Y + X + 4*Y^18 + 4*Y^17 + 2*Y^16 + 2*Y^15 + 6*Y^14 + 6*Y^13 + 
        2*Y^11 + 3*Y^10 + 2*Y^9 + 4*Y^8 + 2*Y^6 + 3*Y^5 + 3*Y^4 + Y^2 + 6,
    -T^32 - 1/7*T^31 - 48/49*T^30 + 20/49*T^29 - 13/49*T^28 + 50/49*T^27 + 3/49*T^26
        + 17/49*T^25 + 6/49*T^24 - 8/49*T^23 - 8/49*T^22 - 27/49*T^21 - 3/7*T^19 + 
        4/49*T^18 - 4/49*T^14 + 3/7*T^13 + 27/49*T^11 + 8/49*T^10 + 8/49*T^9 - 
        6/49*T^8 - 17/49*T^7 - 3/49*T^6 - 50/49*T^5 + 13/49*T^4 - 20/49*T^3 + 
        48/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + 4*X*Y^2 + 
        4*X*Y + 6*X + 3*Y^18 + 6*Y^17 + Y^15 + 4*Y^14 + Y^13 + 6*Y^12 + 2*Y^11 + 
        Y^10 + 3*Y^9 + 3*Y^8 + 6*Y^7 + 3*Y^6 + 4*Y^5 + 5*Y^4 + 3*Y^3 + 6*Y^2 + 3*Y +
        1,
    T^32 - 13/7*T^31 + 8/7*T^30 + 15/49*T^29 - 69/49*T^28 + 76/49*T^27 - 39/49*T^26 
        + 15/49*T^25 + 1/49*T^24 - 9/49*T^23 + 8/49*T^22 - 26/49*T^21 + 20/49*T^20 +
        13/49*T^19 - 22/49*T^18 - 1/49*T^17 + 12/49*T^16 - 1/49*T^15 - 22/49*T^14 + 
        13/49*T^13 + 20/49*T^12 - 26/49*T^11 + 8/49*T^10 - 9/49*T^9 + 1/49*T^8 + 
        15/49*T^7 - 39/49*T^6 + 76/49*T^5 - 69/49*T^4 + 15/49*T^3 + 8/7*T^2 - 13/7*T
        + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 2*X + 
        2*Y^18 + 6*Y^17 + 2*Y^16 + 2*Y^15 + 6*Y^13 + 3*Y^10 + 3*Y^9 + 5*Y^8 + 6*Y^7 
        + 4*Y^6 + 4*Y^5 + 6*Y^4 + 4*Y^3 + 3*Y^2 + 3*Y,
    T^32 + 2/7*T^31 - 34/49*T^30 - 20/49*T^29 + 32/49*T^28 + 17/49*T^27 - 11/49*T^26
        - 10/49*T^25 + 10/49*T^24 + 13/49*T^23 + 13/49*T^22 - 17/49*T^21 - 1/49*T^20
        + 22/49*T^19 + 32/49*T^18 - 1/7*T^17 - 5/7*T^16 - 1/7*T^15 + 32/49*T^14 + 
        22/49*T^13 - 1/49*T^12 - 17/49*T^11 + 13/49*T^10 + 13/49*T^9 + 10/49*T^8 - 
        10/49*T^7 - 11/49*T^6 + 17/49*T^5 + 32/49*T^4 - 20/49*T^3 - 34/49*T^2 + 
        2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + X*Y^7 + 3*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 5*X + 
        4*Y^18 + Y^17 + 6*Y^16 + 4*Y^15 + 6*Y^13 + 4*Y^12 + 2*Y^10 + Y^8 + 2*Y^6 + 
        2*Y^5 + 6*Y^4 + 3*Y^3 + 2*Y^2 + 2*Y + 6,
    -T^32 - 3/7*T^31 + 50/49*T^30 + 31/49*T^29 - 16/49*T^28 - 36/49*T^27 + 
        32/49*T^26 + 46/49*T^25 - 36/49*T^24 - 61/49*T^23 + 9/49*T^22 + 45/49*T^21 -
        23/49*T^19 + 1/49*T^18 + 5/7*T^17 - 5/7*T^15 - 1/49*T^14 + 23/49*T^13 - 
        45/49*T^11 - 9/49*T^10 + 61/49*T^9 + 36/49*T^8 - 46/49*T^7 - 32/49*T^6 + 
        36/49*T^5 + 16/49*T^4 - 31/49*T^3 - 50/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 
        4*X*Y^2 + 6*X*Y + X + Y^18 + 5*Y^17 + 5*Y^16 + 3*Y^15 + 6*Y^14 + Y^13 + 
        3*Y^12 + 2*Y^11 + Y^10 + 4*Y^9 + 6*Y^8 + 5*Y^7 + 4*Y^6 + 5*Y^5 + 3*Y^4 + 
        5*Y^3 + 4*Y^2 + 6,
    T^32 - 12/7*T^30 - 5/7*T^29 + 51/49*T^28 + 38/49*T^27 + 4/49*T^26 + 3/7*T^25 - 
        5/49*T^24 - 54/49*T^23 - 62/49*T^22 - 3/49*T^21 + 76/49*T^20 + 80/49*T^19 - 
        1/7*T^18 - T^17 - 39/49*T^16 - T^15 - 1/7*T^14 + 80/49*T^13 + 76/49*T^12 - 
        3/49*T^11 - 62/49*T^10 - 54/49*T^9 - 5/49*T^8 + 3/7*T^7 + 4/49*T^6 + 
        38/49*T^5 + 51/49*T^4 - 5/7*T^3 - 12/7*T^2 + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + 
        6*X*Y^2 + 5*X*Y + 4*X + 3*Y^18 + 6*Y^15 + Y^13 + 6*Y^12 + 2*Y^11 + 6*Y^10 + 
        6*Y^9 + 2*Y^7 + 2*Y^6 + 5*Y^5 + Y^4 + 2*Y^3 + 5*Y^2 + 4*Y + 3,
    T^32 + 11/7*T^31 + 10/7*T^30 + 41/49*T^29 - 18/49*T^28 - 22/49*T^27 + 5/49*T^26 
        + 8/49*T^25 - 9/49*T^24 - 48/49*T^23 - 71/49*T^22 - 46/49*T^21 - 2/49*T^20 +
        44/49*T^19 + 8/7*T^18 + 45/49*T^17 + 6/7*T^16 + 45/49*T^15 + 8/7*T^14 + 
        44/49*T^13 - 2/49*T^12 - 46/49*T^11 - 71/49*T^10 - 48/49*T^9 - 9/49*T^8 + 
        8/49*T^7 + 5/49*T^6 - 22/49*T^5 - 18/49*T^4 + 41/49*T^3 + 10/7*T^2 + 11/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^8 + X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + X*Y^2 + 2*X*Y + 
        3*X + Y^18 + 4*Y^17 + Y^16 + 6*Y^15 + 4*Y^14 + 4*Y^13 + 5*Y^12 + 3*Y^11 + 
        5*Y^9 + 3*Y^8 + 3*Y^7 + 6*Y^6 + 5*Y^5 + Y^4 + 5*Y^3 + 6*Y^2 + 6*Y + 6,
    T^32 + 2/7*T^31 + 13/49*T^30 - 10/49*T^29 + 27/49*T^28 - 25/49*T^27 - 40/49*T^26
        - 5/49*T^25 + 18/49*T^24 + 9/49*T^23 - 22/49*T^22 + 30/49*T^21 + 48/49*T^20 
        + 9/49*T^19 - 11/49*T^18 - 22/49*T^17 + 32/49*T^16 - 22/49*T^15 - 11/49*T^14
        + 9/49*T^13 + 48/49*T^12 + 30/49*T^11 - 22/49*T^10 + 9/49*T^9 + 18/49*T^8 - 
        5/49*T^7 - 40/49*T^6 - 25/49*T^5 + 27/49*T^4 - 10/49*T^3 + 13/49*T^2 + 2/7*T
        + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 
        6*X*Y^2 + 2*X*Y + 4*X + 5*Y^18 + Y^17 + Y^16 + 3*Y^15 + 2*Y^14 + 4*Y^13 + 
        2*Y^11 + 3*Y^10 + 3*Y^9 + 2*Y^8 + 3*Y^7 + 5*Y^6 + 5*Y^5 + 6*Y^4 + 4*Y^2 + 
        3*Y + 4,
    T^32 - 1/7*T^31 - 26/49*T^30 - 47/49*T^29 + 10/49*T^28 + 6/49*T^27 + 12/49*T^26 
        + 3/49*T^25 + 1/49*T^24 + 19/49*T^23 - 20/49*T^22 + 16/49*T^21 + 11/49*T^20 
        - 20/49*T^18 - 2/49*T^17 + 6/49*T^16 - 2/49*T^15 - 20/49*T^14 + 11/49*T^12 +
        16/49*T^11 - 20/49*T^10 + 19/49*T^9 + 1/49*T^8 + 3/49*T^7 + 12/49*T^6 + 
        6/49*T^5 + 10/49*T^4 - 47/49*T^3 - 26/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 4*X*Y^5 + 4*X*Y^4 + X*Y^3 + 6*X*Y^2 + 5*X*Y 
        + X + Y^18 + 3*Y^17 + Y^16 + 2*Y^15 + 2*Y^14 + 3*Y^13 + 3*Y^12 + 2*Y^8 + 
        2*Y^7 + 5*Y^6 + Y^5 + Y^4 + 6*Y^2 + 6*Y,
    -T^32 + 3/7*T^31 - 24/49*T^30 + 38/49*T^29 - 26/49*T^28 + 32/49*T^27 - 
        24/49*T^26 - 15/49*T^25 + 9/49*T^24 - 10/49*T^23 - 17/49*T^21 + 30/49*T^20 -
        23/49*T^19 + 9/49*T^18 + 12/49*T^17 - 12/49*T^15 - 9/49*T^14 + 23/49*T^13 - 
        30/49*T^12 + 17/49*T^11 + 10/49*T^9 - 9/49*T^8 + 15/49*T^7 + 24/49*T^6 - 
        32/49*T^5 + 26/49*T^4 - 38/49*T^3 + 24/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        2*X*Y^2 + 3*X*Y + 5*X + 2*Y^18 + 2*Y^17 + 6*Y^16 + Y^14 + Y^13 + Y^10 + Y^9 
        + 4*Y^8 + 6*Y^7 + 5*Y^6 + 4*Y^5 + 2*Y^3 + 2*Y^2 + 2,
    T^32 - 1/7*T^31 - 50/49*T^30 - 10/49*T^29 + 12/49*T^28 - 6/7*T^26 + 30/49*T^25 +
        11/49*T^24 + 6/49*T^23 + 18/49*T^22 + 3/49*T^21 + 3/7*T^20 - 8/49*T^19 - 
        18/49*T^18 - 2/7*T^17 - 2/49*T^16 - 2/7*T^15 - 18/49*T^14 - 8/49*T^13 + 
        3/7*T^12 + 3/49*T^11 + 18/49*T^10 + 6/49*T^9 + 11/49*T^8 + 30/49*T^7 - 
        6/7*T^6 + 12/49*T^4 - 10/49*T^3 - 50/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + 4*X*Y 
        + X + 4*Y^18 + 5*Y^17 + 3*Y^16 + 6*Y^15 + 4*Y^14 + 5*Y^12 + 4*Y^11 + 3*Y^9 +
        2*Y^8 + 3*Y^7 + 3*Y^6 + 5*Y^5 + 6*Y^4 + 4*Y^3 + 2*Y^2 + 3,
    -T^32 - 11/7*T^31 - 30/49*T^30 - 19/49*T^29 - 31/49*T^28 - 18/49*T^27 + 
        11/49*T^26 + 44/49*T^25 + 75/49*T^24 + 72/49*T^23 + 9/49*T^22 - 27/49*T^21 -
        10/49*T^20 - 16/49*T^19 - 45/49*T^18 - 5/7*T^17 + 5/7*T^15 + 45/49*T^14 + 
        16/49*T^13 + 10/49*T^12 + 27/49*T^11 - 9/49*T^10 - 72/49*T^9 - 75/49*T^8 - 
        44/49*T^7 - 11/49*T^6 + 18/49*T^5 + 31/49*T^4 + 19/49*T^3 + 30/49*T^2 + 
        11/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + X*Y^7 + X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + X*Y^2 + 
        2*X + 3*Y^18 + 3*Y^17 + 5*Y^16 + 5*Y^15 + 4*Y^13 + 2*Y^12 + 2*Y^11 + 2*Y^10 
        + 4*Y^9 + 6*Y^8 + 4*Y^7 + 6*Y^6 + 5*Y^5 + 4*Y^4 + 5*Y^3 + Y^2 + 4*Y + 3,
    T^32 - 3/7*T^31 - 30/49*T^30 - 11/49*T^29 + 55/49*T^28 - 9/49*T^27 - 22/49*T^26 
        - 10/49*T^25 + 45/49*T^24 + 2/7*T^23 - T^22 - 1/49*T^21 + 19/49*T^20 + 
        26/49*T^19 - 30/49*T^18 + 26/49*T^17 - 3/7*T^16 + 26/49*T^15 - 30/49*T^14 + 
        26/49*T^13 + 19/49*T^12 - 1/49*T^11 - T^10 + 2/7*T^9 + 45/49*T^8 - 10/49*T^7
        - 22/49*T^6 - 9/49*T^5 + 55/49*T^4 - 11/49*T^3 - 30/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + X*Y^3 + X*Y^2 + 5*X*Y + 5*X + 
        6*Y^18 + Y^16 + 5*Y^15 + Y^14 + 5*Y^13 + 3*Y^12 + 4*Y^11 + 5*Y^10 + 5*Y^9 + 
        5*Y^8 + 2*Y^7 + 3*Y^6 + Y^5 + 4*Y^4 + Y^3 + Y^2 + 3*Y + 3,
    T^32 - 4/7*T^31 - 20/49*T^30 + 4/7*T^29 + 25/49*T^28 - T^27 + 6/49*T^26 + 
        4/7*T^25 - 25/49*T^24 - 6/49*T^23 + 13/49*T^22 + 1/49*T^21 - 4/49*T^20 + 
        2/49*T^19 - 22/49*T^18 - 12/49*T^17 + 4/7*T^16 - 12/49*T^15 - 22/49*T^14 + 
        2/49*T^13 - 4/49*T^12 + 1/49*T^11 + 13/49*T^10 - 6/49*T^9 - 25/49*T^8 + 
        4/7*T^7 + 6/49*T^6 - T^5 + 25/49*T^4 + 4/7*T^3 - 20/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + X*Y^3 + X*Y^2 + X*Y + 4*X 
        + 5*Y^18 + Y^17 + 4*Y^16 + 6*Y^15 + 2*Y^14 + Y^13 + 4*Y^11 + Y^10 + 6*Y^9 + 
        Y^8 + 2*Y^7 + 5*Y^6 + 5*Y^5 + 4*Y^4 + 6*Y^3 + 2*Y^2 + 6*Y + 6,
    -T^32 + 1/7*T^31 + 38/49*T^30 - 11/49*T^29 - 8/49*T^28 - 6/49*T^27 + 23/49*T^26 
        - 41/49*T^25 + 23/49*T^24 + 20/49*T^23 - 34/49*T^22 + 37/49*T^21 + 6/49*T^20
        - 10/49*T^19 - 29/49*T^18 + 10/7*T^17 - 10/7*T^15 + 29/49*T^14 + 10/49*T^13 
        - 6/49*T^12 - 37/49*T^11 + 34/49*T^10 - 20/49*T^9 - 23/49*T^8 + 41/49*T^7 - 
        23/49*T^6 + 6/49*T^5 + 8/49*T^4 + 11/49*T^3 - 38/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        X*Y^2 + X*Y + 3*X + 5*Y^18 + 2*Y^16 + 4*Y^14 + 2*Y^13 + 4*Y^12 + 6*Y^11 + 
        4*Y^10 + 3*Y^9 + 2*Y^8 + Y^7 + 6*Y^6 + 5*Y^5 + 4*Y^4 + 6*Y^3 + Y^2 + 5,
    -T^32 - 5/7*T^31 + 3/7*T^30 + 30/49*T^29 - 3/7*T^28 - 4/7*T^27 + 2/49*T^26 - 
        10/49*T^25 - 4/7*T^24 - 2/7*T^23 + 13/49*T^22 - 18/49*T^21 + 1/49*T^20 + 
        11/49*T^19 - 15/49*T^18 - 34/49*T^17 + 34/49*T^15 + 15/49*T^14 - 11/49*T^13 
        - 1/49*T^12 + 18/49*T^11 - 13/49*T^10 + 2/7*T^9 + 4/7*T^8 + 10/49*T^7 - 
        2/49*T^6 + 4/7*T^5 + 3/7*T^4 - 30/49*T^3 - 3/7*T^2 + 5/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + X*Y^6 + 3*X*Y^5 + X*Y^4 + X*Y^2 + 2*X*Y + 
        5*X + 3*Y^18 + 4*Y^17 + Y^16 + Y^14 + 5*Y^13 + 3*Y^12 + 6*Y^11 + Y^10 + 
        5*Y^9 + 2*Y^8 + Y^7 + 6*Y^5 + Y^4 + Y^3 + 5*Y^2 + Y,
    -T^32 + 9/7*T^31 - 17/49*T^30 - 16/49*T^29 + 22/49*T^28 + 38/49*T^27 - 
        76/49*T^26 + 59/49*T^25 - 6/49*T^24 - 26/49*T^23 - 10/49*T^22 + 48/49*T^21 -
        61/49*T^20 + 2/7*T^19 + 4/7*T^18 - 20/49*T^17 + 20/49*T^15 - 4/7*T^14 - 
        2/7*T^13 + 61/49*T^12 - 48/49*T^11 + 10/49*T^10 + 26/49*T^9 + 6/49*T^8 - 
        59/49*T^7 + 76/49*T^6 - 38/49*T^5 - 22/49*T^4 + 16/49*T^3 + 17/49*T^2 - 
        9/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + X*Y^2 + 6*X*Y 
        + 5*X + 5*Y^18 + Y^15 + Y^14 + 6*Y^12 + 3*Y^11 + 4*Y^10 + 3*Y^8 + 3*Y^7 + 
        5*Y^6 + 6*Y^5 + 5*Y^4 + 4*Y^3 + 2*Y^2 + 3*Y + 2,
    -T^32 - 2/7*T^31 - 32/49*T^30 - 36/49*T^29 - 8/7*T^28 - 60/49*T^27 - 36/49*T^26 
        - 54/49*T^25 - 3/7*T^24 - 50/49*T^23 - 11/49*T^22 - 33/49*T^21 - 2/49*T^20 -
        12/49*T^19 + 12/49*T^18 - 3/7*T^17 + 3/7*T^15 - 12/49*T^14 + 12/49*T^13 + 
        2/49*T^12 + 33/49*T^11 + 11/49*T^10 + 50/49*T^9 + 3/7*T^8 + 54/49*T^7 + 
        36/49*T^6 + 60/49*T^5 + 8/7*T^4 + 36/49*T^3 + 32/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 6*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 
        3*X*Y + 5*X + 3*Y^18 + 5*Y^17 + 3*Y^16 + Y^15 + 4*Y^14 + 3*Y^12 + 4*Y^11 + 
        2*Y^10 + 3*Y^9 + 4*Y^8 + 2*Y^7 + Y^6 + 2*Y^5 + 6*Y^4 + 3*Y^3 + 6*Y^2 + 2*Y +
        6,
    -T^32 + 5/7*T^31 + 15/49*T^30 + 17/49*T^29 - 33/49*T^28 + 1/49*T^27 + 2/49*T^26 
        + 19/49*T^25 - 17/49*T^24 + 2/49*T^23 + 6/49*T^22 + 6/49*T^21 - 30/49*T^20 -
        19/49*T^19 + 36/49*T^18 + 30/49*T^17 - 30/49*T^15 - 36/49*T^14 + 19/49*T^13 
        + 30/49*T^12 - 6/49*T^11 - 6/49*T^10 - 2/49*T^9 + 17/49*T^8 - 19/49*T^7 - 
        2/49*T^6 - 1/49*T^5 + 33/49*T^4 - 17/49*T^3 - 15/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 2*X*Y^2 + 5*X*Y + 2*X + 
        2*Y^18 + 6*Y^17 + 6*Y^16 + Y^15 + 2*Y^14 + 2*Y^13 + Y^12 + Y^11 + 6*Y^10 + 
        3*Y^9 + 6*Y^8 + 5*Y^7 + Y^6 + 5*Y^5 + 3*Y^4 + 2*Y^3 + 4*Y^2 + Y + 3,
    -T^32 + 13/7*T^31 - 87/49*T^30 + 92/49*T^29 - 59/49*T^28 + 41/49*T^27 - 
        41/49*T^26 + 9/49*T^25 - 20/49*T^24 + 19/49*T^23 + 5/49*T^22 - 9/49*T^21 + 
        37/49*T^20 - 40/49*T^19 + 9/49*T^18 - 1/49*T^17 + 1/49*T^15 - 9/49*T^14 + 
        40/49*T^13 - 37/49*T^12 + 9/49*T^11 - 5/49*T^10 - 19/49*T^9 + 20/49*T^8 - 
        9/49*T^7 + 41/49*T^6 - 41/49*T^5 + 59/49*T^4 - 92/49*T^3 + 87/49*T^2 - 
        13/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 2*X*Y^4 + 4*X*Y^3 + 5*X*Y + 2*X + 
        Y^18 + 4*Y^17 + Y^16 + 2*Y^15 + 5*Y^13 + 3*Y^12 + 3*Y^11 + Y^10 + 4*Y^9 + 
        6*Y^8 + 3*Y^7 + 6*Y^6 + 3*Y^5 + 2*Y^4 + 2*Y^3 + 2*Y^2 + 3*Y + 4,
    -T^32 + 6/7*T^31 + 15/49*T^30 - 24/49*T^29 + 9/49*T^28 + 12/49*T^27 + 25/49*T^26
        - 39/49*T^25 - 2/7*T^24 + 46/49*T^23 - 2/7*T^22 - 23/49*T^21 - 2/49*T^20 + 
        48/49*T^19 - 1/7*T^18 - 27/49*T^17 + 27/49*T^15 + 1/7*T^14 - 48/49*T^13 + 
        2/49*T^12 + 23/49*T^11 + 2/7*T^10 - 46/49*T^9 + 2/7*T^8 + 39/49*T^7 - 
        25/49*T^6 - 12/49*T^5 - 9/49*T^4 + 24/49*T^3 - 15/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 4*X*Y^3 + 5*X*Y^2 + 3*X + 3*Y^18 +
        3*Y^17 + Y^16 + Y^15 + 5*Y^14 + 4*Y^13 + 3*Y^12 + 3*Y^11 + 3*Y^10 + 6*Y^8 + 
        Y^7 + 5*Y^6 + 2*Y^4 + 6*Y^3 + 5*Y^2 + Y,
    T^32 - 3/7*T^31 + 23/49*T^30 - 17/49*T^29 + 32/49*T^28 - 18/49*T^27 + 31/49*T^26
        - 27/49*T^25 + 31/49*T^24 - 25/49*T^23 + 22/49*T^22 - 9/49*T^21 - 5/49*T^20 
        + 2/49*T^19 - 1/49*T^18 - 11/49*T^17 + 9/49*T^16 - 11/49*T^15 - 1/49*T^14 + 
        2/49*T^13 - 5/49*T^12 - 9/49*T^11 + 22/49*T^10 - 25/49*T^9 + 31/49*T^8 - 
        27/49*T^7 + 31/49*T^6 - 18/49*T^5 + 32/49*T^4 - 17/49*T^3 + 23/49*T^2 - 
        3/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + X*Y^4 + 2*X*Y^3 + X*Y^2 + X*Y + 
        4*X + Y^18 + 4*Y^17 + 3*Y^16 + 3*Y^15 + 3*Y^14 + 3*Y^13 + 5*Y^12 + 2*Y^11 + 
        4*Y^10 + 4*Y^9 + 5*Y^8 + 2*Y^6 + 4*Y^5 + 6*Y^4 + 2*Y^3 + 3*Y^2 + 4,
    T^32 - 2*T^31 + 59/49*T^30 + 58/49*T^29 - 2*T^28 + 6/7*T^27 + 20/49*T^26 - 
        43/49*T^25 + 44/49*T^24 - 57/49*T^22 + 31/49*T^21 + 8/7*T^20 - 75/49*T^19 + 
        15/49*T^18 + 45/49*T^17 - 60/49*T^16 + 45/49*T^15 + 15/49*T^14 - 75/49*T^13 
        + 8/7*T^12 + 31/49*T^11 - 57/49*T^10 + 44/49*T^8 - 43/49*T^7 + 20/49*T^6 + 
        6/7*T^5 - 2*T^4 + 58/49*T^3 + 59/49*T^2 - 2*T + 1
*], [*
    X^3 + 6*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + X*Y 
        + 4*Y^18 + 6*Y^17 + 2*Y^16 + Y^15 + 6*Y^14 + 6*Y^12 + 6*Y^10 + 6*Y^9 + Y^7 +
        2*Y^6 + 3*Y^5 + Y^3 + 4*Y^2 + 6,
    T^32 + 4/7*T^31 + 52/49*T^30 + 62/49*T^29 + 51/49*T^28 + 29/49*T^27 + 33/49*T^26
        - 9/49*T^25 - 2/7*T^24 - 48/49*T^23 - 31/49*T^22 - 67/49*T^21 - 32/49*T^20 -
        36/49*T^19 - 16/49*T^18 - 15/49*T^17 + 4/7*T^16 - 15/49*T^15 - 16/49*T^14 - 
        36/49*T^13 - 32/49*T^12 - 67/49*T^11 - 31/49*T^10 - 48/49*T^9 - 2/7*T^8 - 
        9/49*T^7 + 33/49*T^6 + 29/49*T^5 + 51/49*T^4 + 62/49*T^3 + 52/49*T^2 + 4/7*T
        + 1
*], [*
    X^3 + 2*X*Y^8 + 3*X*Y^7 + X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 3*X*Y^2 + 5*X*Y + 6*X + 
        4*Y^18 + 2*Y^17 + 3*Y^16 + Y^15 + Y^13 + 5*Y^12 + 4*Y^11 + 2*Y^10 + Y^9 + 
        Y^8 + 2*Y^6 + 4*Y^5 + 5*Y^4 + 6*Y^3 + 6*Y^2 + 5*Y + 2,
    -T^32 + 23/49*T^30 - 22/49*T^29 - 9/49*T^28 - 2/49*T^27 + 36/49*T^26 - 
        34/49*T^25 - 2/7*T^24 + 37/49*T^23 + 4/7*T^22 + 1/7*T^21 - 32/49*T^20 + 
        61/49*T^19 + 4/49*T^18 - 32/49*T^17 + 32/49*T^15 - 4/49*T^14 - 61/49*T^13 + 
        32/49*T^12 - 1/7*T^11 - 4/7*T^10 - 37/49*T^9 + 2/7*T^8 + 34/49*T^7 - 
        36/49*T^6 + 2/49*T^5 + 9/49*T^4 + 22/49*T^3 - 23/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 6*X*Y^3 + 3*X*Y^2 + 4*X*Y + 6*X + Y^18 + 
        Y^17 + Y^16 + Y^15 + 4*Y^13 + 5*Y^12 + Y^11 + Y^10 + Y^9 + 2*Y^8 + 4*Y^6 + 
        3*Y^5 + Y^2 + 3,
    T^32 - 6/7*T^31 + 30/49*T^30 - 4/7*T^29 + 29/49*T^28 - 8/49*T^27 + 19/49*T^26 + 
        6/49*T^25 - 18/49*T^24 + 18/49*T^23 - 40/49*T^22 + 36/49*T^21 - 11/49*T^20 +
        16/49*T^19 - 18/49*T^18 + 2/49*T^17 + 1/49*T^16 + 2/49*T^15 - 18/49*T^14 + 
        16/49*T^13 - 11/49*T^12 + 36/49*T^11 - 40/49*T^10 + 18/49*T^9 - 18/49*T^8 + 
        6/49*T^7 + 19/49*T^6 - 8/49*T^5 + 29/49*T^4 - 4/7*T^3 + 30/49*T^2 - 6/7*T + 
        1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + X*Y^2 
        + 2*X*Y + 6*Y^18 + 2*Y^16 + Y^15 + 4*Y^14 + 5*Y^13 + 5*Y^12 + 5*Y^11 + 4*Y^9
        + 3*Y^7 + 2*Y^5 + 2*Y^4 + 2*Y^2 + 2*Y + 5,
    T^32 + 6/7*T^31 - 13/49*T^30 - 78/49*T^29 - 102/49*T^28 - 80/49*T^27 - 6/49*T^26
        + 96/49*T^25 + 150/49*T^24 + 121/49*T^23 + 34/49*T^22 - 69/49*T^21 - 
        145/49*T^20 - 18/7*T^19 - 25/49*T^18 + 85/49*T^17 + 134/49*T^16 + 85/49*T^15
        - 25/49*T^14 - 18/7*T^13 - 145/49*T^12 - 69/49*T^11 + 34/49*T^10 + 
        121/49*T^9 + 150/49*T^8 + 96/49*T^7 - 6/49*T^6 - 80/49*T^5 - 102/49*T^4 - 
        78/49*T^3 - 13/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 5*X*Y^3 + 2*X*Y + 4*X + 4*Y^18 + 
        Y^17 + 2*Y^16 + 5*Y^14 + Y^12 + 5*Y^11 + 5*Y^10 + Y^9 + 6*Y^8 + 3*Y^7 + Y^6 
        + 4*Y^5 + 5*Y^3 + 2*Y^2 + 2*Y + 4,
    T^32 + 1/7*T^31 - 61/49*T^30 - 44/49*T^29 + 4/49*T^28 + 23/49*T^27 + 29/49*T^26 
        + 22/49*T^25 - 5/7*T^24 + 4/49*T^23 + 29/49*T^22 - 6/49*T^21 - 36/49*T^20 - 
        16/49*T^19 - 8/49*T^18 + 9/49*T^17 + 60/49*T^16 + 9/49*T^15 - 8/49*T^14 - 
        16/49*T^13 - 36/49*T^12 - 6/49*T^11 + 29/49*T^10 + 4/49*T^9 - 5/7*T^8 + 
        22/49*T^7 + 29/49*T^6 + 23/49*T^5 + 4/49*T^4 - 44/49*T^3 - 61/49*T^2 + 1/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 5*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 4*X*Y 
        + 4*X + 2*Y^18 + 4*Y^17 + 3*Y^16 + 4*Y^15 + 4*Y^14 + 6*Y^13 + 2*Y^11 + 
        4*Y^10 + 2*Y^9 + 5*Y^8 + 3*Y^7 + 5*Y^6 + 3*Y^5 + 4*Y^4 + Y^3 + 3*Y^2 + 5*Y +
        4,
    T^32 - 1/7*T^31 - 64/49*T^30 - 24/49*T^29 + 29/49*T^28 - 26/49*T^27 + 25/49*T^26
        + 72/49*T^25 + 4/49*T^24 - 51/49*T^23 + 3/49*T^22 + 29/49*T^21 - 73/49*T^20 
        - 54/49*T^19 + 60/49*T^18 + 53/49*T^17 - 46/49*T^16 + 53/49*T^15 + 
        60/49*T^14 - 54/49*T^13 - 73/49*T^12 + 29/49*T^11 + 3/49*T^10 - 51/49*T^9 + 
        4/49*T^8 + 72/49*T^7 + 25/49*T^6 - 26/49*T^5 + 29/49*T^4 - 24/49*T^3 - 
        64/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^7 + 4*X*Y^5 + 2*X*Y^4 + X*Y^3 + 6*X*Y^2 + 4*X*Y + 2*X + 
        4*Y^18 + 2*Y^17 + 2*Y^14 + 5*Y^13 + 2*Y^12 + 3*Y^11 + 5*Y^10 + 4*Y^9 + 2*Y^8
        + 5*Y^7 + 6*Y^6 + 5*Y^5 + 3*Y^4 + Y^2 + 5*Y + 4,
    T^32 + 4/7*T^31 - 61/49*T^30 - 50/49*T^29 + 15/49*T^28 + 11/49*T^27 - 25/49*T^26
        - 24/49*T^25 + 16/49*T^24 + 4/7*T^23 + 24/49*T^22 + 48/49*T^21 + 4/7*T^20 - 
        27/49*T^19 - 33/49*T^18 - 17/49*T^17 - 16/49*T^16 - 17/49*T^15 - 33/49*T^14 
        - 27/49*T^13 + 4/7*T^12 + 48/49*T^11 + 24/49*T^10 + 4/7*T^9 + 16/49*T^8 - 
        24/49*T^7 - 25/49*T^6 + 11/49*T^5 + 15/49*T^4 - 50/49*T^3 - 61/49*T^2 + 
        4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 5*X*Y^6 + 4*X*Y^5 + X*Y^4 + X*Y^2 + 2*X + 2*Y^18 + 
        3*Y^17 + Y^16 + 6*Y^15 + 6*Y^14 + 2*Y^13 + Y^11 + 2*Y^10 + 6*Y^9 + 3*Y^8 + 
        4*Y^6 + 4*Y^5 + 3*Y^4 + 2*Y^3 + 4*Y^2 + 6*Y + 4,
    T^32 + 2/7*T^31 - 9/49*T^30 - 6/49*T^29 - 5/7*T^28 + 13/49*T^27 + 30/49*T^26 - 
        12/49*T^25 - 19/49*T^24 - 19/49*T^23 - 15/49*T^22 + 25/49*T^21 + 9/49*T^20 -
        8/49*T^19 - 4/49*T^18 - 10/49*T^17 - 2/49*T^16 - 10/49*T^15 - 4/49*T^14 - 
        8/49*T^13 + 9/49*T^12 + 25/49*T^11 - 15/49*T^10 - 19/49*T^9 - 19/49*T^8 - 
        12/49*T^7 + 30/49*T^6 + 13/49*T^5 - 5/7*T^4 - 6/49*T^3 - 9/49*T^2 + 2/7*T + 
        1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 5*X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + X*Y^3 + 5*X*Y^2 + 6*X*Y 
        + 3*X + 3*Y^18 + 3*Y^17 + 6*Y^16 + 2*Y^15 + 6*Y^14 + 2*Y^13 + Y^12 + 6*Y^11 
        + 3*Y^10 + 2*Y^9 + 4*Y^8 + 5*Y^7 + Y^6 + Y^5 + 5*Y^4 + 5*Y^3 + 4*Y^2,
    -T^32 - 1/7*T^31 + 37/49*T^30 - 4/49*T^29 + 24/49*T^28 - 20/49*T^27 - 24/49*T^26
        + 55/49*T^25 - 38/49*T^24 - 30/49*T^23 + 50/49*T^22 - 25/49*T^21 + 
        18/49*T^20 + 20/49*T^19 - 57/49*T^18 + 61/49*T^17 - 61/49*T^15 + 57/49*T^14 
        - 20/49*T^13 - 18/49*T^12 + 25/49*T^11 - 50/49*T^10 + 30/49*T^9 + 38/49*T^8 
        - 55/49*T^7 + 24/49*T^6 + 20/49*T^5 - 24/49*T^4 + 4/49*T^3 - 37/49*T^2 + 
        1/7*T + 1
*], [*
    X^3 + X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 
        2*X*Y^2 + X*Y + 6*Y^18 + 5*Y^17 + Y^16 + 4*Y^15 + 5*Y^14 + 6*Y^13 + 4*Y^12 +
        Y^11 + 2*Y^9 + 6*Y^8 + 5*Y^7 + 3*Y^6 + 6*Y^5 + 3*Y^4 + 2*Y^3 + 5*Y^2 + 4*Y +
        5,
    -T^32 - T^31 + 20/49*T^30 + 9/7*T^29 + 10/7*T^28 + 16/49*T^27 - 5/7*T^26 - 
        44/49*T^25 - 5/49*T^24 + 16/49*T^23 - 2/49*T^22 - 20/49*T^21 - 22/49*T^20 + 
        9/49*T^19 + 30/49*T^18 + 52/49*T^17 - 52/49*T^15 - 30/49*T^14 - 9/49*T^13 + 
        22/49*T^12 + 20/49*T^11 + 2/49*T^10 - 16/49*T^9 + 5/49*T^8 + 44/49*T^7 + 
        5/7*T^6 - 16/49*T^5 - 10/7*T^4 - 9/7*T^3 - 20/49*T^2 + T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 5*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 2*X*Y^2 + 
        2*X*Y + 5*X + 5*Y^18 + 6*Y^17 + 2*Y^16 + 4*Y^15 + 3*Y^14 + 2*Y^13 + 5*Y^12 +
        6*Y^11 + 4*Y^10 + 2*Y^9 + 3*Y^8 + 5*Y^7 + 4*Y^6 + 6*Y^5 + 5*Y^3 + 3*Y^2 + 
        3*Y + 3,
    T^32 + 1/7*T^31 - 54/49*T^30 - 16/49*T^29 + 18/49*T^28 + 30/49*T^27 + 46/49*T^26
        - 20/49*T^25 - 41/49*T^24 + 5/49*T^23 + 11/49*T^22 + 24/49*T^21 + 6/7*T^20 -
        43/49*T^19 - 40/49*T^18 + 33/49*T^17 + 6/7*T^16 + 33/49*T^15 - 40/49*T^14 - 
        43/49*T^13 + 6/7*T^12 + 24/49*T^11 + 11/49*T^10 + 5/49*T^9 - 41/49*T^8 - 
        20/49*T^7 + 46/49*T^6 + 30/49*T^5 + 18/49*T^4 - 16/49*T^3 - 54/49*T^2 + 
        1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^8 + X*Y^7 + X*Y^5 + 2*X*Y^4 + X*Y^3 + 2*X*Y^2 + 2*X*Y + 
        3*X + 2*Y^18 + 3*Y^17 + 3*Y^16 + 4*Y^15 + 4*Y^14 + 5*Y^13 + 5*Y^11 + 2*Y^10 
        + 6*Y^8 + 5*Y^7 + 3*Y^4 + Y^2 + Y + 3,
    T^32 - T^31 + 5/7*T^30 + 2/49*T^29 + 1/49*T^28 - 6/7*T^27 + 38/49*T^26 - 
        31/49*T^25 - 24/49*T^24 + 39/49*T^23 - 43/49*T^22 + 6/49*T^21 - 5/49*T^20 + 
        34/49*T^19 - 44/49*T^18 + 43/49*T^17 - 9/49*T^16 + 43/49*T^15 - 44/49*T^14 +
        34/49*T^13 - 5/49*T^12 + 6/49*T^11 - 43/49*T^10 + 39/49*T^9 - 24/49*T^8 - 
        31/49*T^7 + 38/49*T^6 - 6/7*T^5 + 1/49*T^4 + 2/49*T^3 + 5/7*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^8 + 4*X*Y^7 + 3*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + X*Y + 4*X + 3*Y^18 + 
        5*Y^17 + Y^16 + 2*Y^15 + 6*Y^14 + Y^13 + 4*Y^11 + Y^10 + 3*Y^9 + 5*Y^8 + 
        3*Y^7 + 6*Y^6 + 4*Y^5 + 4*Y^4 + 3*Y^2 + 3*Y + 1,
    T^32 + 3/7*T^31 + 13/49*T^30 + 10/49*T^29 - 48/49*T^28 - 29/49*T^27 - 5/7*T^26 -
        6/49*T^25 + 8/49*T^24 + 8/49*T^23 + 9/49*T^22 - 23/49*T^21 - 30/49*T^20 + 
        4/49*T^19 + 9/49*T^18 + 23/49*T^17 + 10/7*T^16 + 23/49*T^15 + 9/49*T^14 + 
        4/49*T^13 - 30/49*T^12 - 23/49*T^11 + 9/49*T^10 + 8/49*T^9 + 8/49*T^8 - 
        6/49*T^7 - 5/7*T^6 - 29/49*T^5 - 48/49*T^4 + 10/49*T^3 + 13/49*T^2 + 3/7*T +
        1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 4*X*Y^5 + X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 6*X*Y 
        + 3*X + 3*Y^18 + 3*Y^17 + 2*Y^15 + Y^13 + 5*Y^12 + 2*Y^11 + 2*Y^10 + 3*Y^8 +
        Y^7 + 5*Y^6 + 6*Y^5 + Y^4 + Y^3 + 4*Y^2 + 3*Y + 4,
    T^32 - 16/7*T^31 + 157/49*T^30 - 162/49*T^29 + 137/49*T^28 - 13/7*T^27 + 
        5/7*T^26 - 20/49*T^25 + 5/7*T^24 - 48/49*T^23 + 8/7*T^22 - 24/49*T^21 - 
        20/49*T^20 + 75/49*T^19 - 17/7*T^18 + 148/49*T^17 - 167/49*T^16 + 
        148/49*T^15 - 17/7*T^14 + 75/49*T^13 - 20/49*T^12 - 24/49*T^11 + 8/7*T^10 - 
        48/49*T^9 + 5/7*T^8 - 20/49*T^7 + 5/7*T^6 - 13/7*T^5 + 137/49*T^4 - 
        162/49*T^3 + 157/49*T^2 - 16/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 2*X*Y + 6*X + 2*Y^18 + 
        6*Y^17 + 5*Y^16 + 4*Y^14 + 6*Y^13 + Y^12 + 2*Y^11 + Y^10 + 3*Y^9 + 6*Y^8 + 
        6*Y^7 + 6*Y^6 + 2*Y^5 + 6*Y^4 + 3*Y^2 + 3*Y + 6,
    -T^32 + 47/49*T^30 + 16/49*T^28 - 6/49*T^27 - 41/49*T^26 + 5/49*T^25 + 
        29/49*T^24 + 31/49*T^23 - 6/49*T^22 - 3/7*T^21 - 36/49*T^20 - 18/49*T^19 + 
        6/7*T^18 + 29/49*T^17 - 29/49*T^15 - 6/7*T^14 + 18/49*T^13 + 36/49*T^12 + 
        3/7*T^11 + 6/49*T^10 - 31/49*T^9 - 29/49*T^8 - 5/49*T^7 + 41/49*T^6 + 
        6/49*T^5 - 16/49*T^4 - 47/49*T^2 + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 3*X*Y^6 + X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + 5*X*Y 
        + 3*X + 5*Y^18 + Y^17 + 5*Y^16 + 6*Y^14 + 3*Y^12 + 6*Y^11 + 2*Y^10 + 5*Y^9 +
        5*Y^7 + 2*Y^6 + 6*Y^5 + 5*Y^4 + Y^3 + 6*Y^2 + Y + 2,
    -T^32 - 6/7*T^31 - 26/49*T^30 + 4/7*T^29 + 10/49*T^28 + 15/49*T^27 + 61/49*T^26 
        + 68/49*T^25 + 46/49*T^24 - 25/49*T^23 + 2/49*T^22 - 31/49*T^21 - T^20 - 
        88/49*T^19 - 20/49*T^18 + 15/49*T^17 - 15/49*T^15 + 20/49*T^14 + 88/49*T^13 
        + T^12 + 31/49*T^11 - 2/49*T^10 + 25/49*T^9 - 46/49*T^8 - 68/49*T^7 - 
        61/49*T^6 - 15/49*T^5 - 10/49*T^4 - 4/7*T^3 + 26/49*T^2 + 6/7*T + 1
*], [*
    X^3 + X*Y^8 + X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + X*Y^2 + 2*X*Y + 2*X + 2*Y^18
        + 2*Y^17 + 6*Y^16 + 6*Y^15 + 2*Y^14 + 6*Y^13 + 3*Y^12 + 6*Y^11 + 4*Y^10 + 
        5*Y^9 + 3*Y^8 + 5*Y^6 + 2*Y^4 + 5*Y^3 + Y^2 + 6*Y + 3,
    -T^32 + 3/7*T^31 + 5/49*T^30 + 15/49*T^29 - 1/7*T^28 + 17/49*T^27 + 27/49*T^26 -
        27/49*T^25 + 15/49*T^24 - 3/7*T^23 + 3/49*T^22 - 10/49*T^21 - 1/7*T^20 + 
        4/7*T^19 - 4/49*T^18 - 5/49*T^17 + 5/49*T^15 + 4/49*T^14 - 4/7*T^13 + 
        1/7*T^12 + 10/49*T^11 - 3/49*T^10 + 3/7*T^9 - 15/49*T^8 + 27/49*T^7 - 
        27/49*T^6 - 17/49*T^5 + 1/7*T^4 - 15/49*T^3 - 5/49*T^2 - 3/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + X*Y^4 + 5*X*Y^2 + 6*X*Y + 
        X + 5*Y^18 + 3*Y^17 + 3*Y^16 + 6*Y^15 + 4*Y^13 + 2*Y^12 + 2*Y^11 + 5*Y^10 + 
        6*Y^9 + 4*Y^8 + 4*Y^6 + 3*Y^5 + Y^4 + 4*Y^2,
    -T^32 - 10/7*T^31 + 22/49*T^30 + 68/49*T^29 + 9/49*T^28 - 37/49*T^27 + 9/49*T^26
        + 48/49*T^25 - 6/49*T^24 - 32/49*T^23 - 17/49*T^22 - 2/7*T^21 + 8/49*T^20 + 
        43/49*T^19 + 23/49*T^18 - 32/49*T^17 + 32/49*T^15 - 23/49*T^14 - 43/49*T^13 
        - 8/49*T^12 + 2/7*T^11 + 17/49*T^10 + 32/49*T^9 + 6/49*T^8 - 48/49*T^7 - 
        9/49*T^6 + 37/49*T^5 - 9/49*T^4 - 68/49*T^3 - 22/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 2*X*Y^6 + 2*X*Y^5 + 3*X*Y^3 + 6*X*Y^2 + 3*X + Y^18 + 
        4*Y^17 + 6*Y^16 + 5*Y^15 + Y^14 + 4*Y^13 + 4*Y^12 + 5*Y^11 + 2*Y^10 + 3*Y^9 
        + 2*Y^8 + 3*Y^7 + 3*Y^6 + 6*Y^5 + 3*Y^4 + 4*Y^3 + 4*Y^2 + 3,
    T^32 - 31/49*T^30 + 3/49*T^29 + 18/49*T^28 - 53/49*T^27 - 25/49*T^26 + 
        33/49*T^25 - 1/49*T^24 + 4/49*T^23 + 29/49*T^22 + 11/49*T^21 - 1/7*T^20 + 
        18/49*T^19 - 25/49*T^18 - 17/49*T^17 - 12/49*T^16 - 17/49*T^15 - 25/49*T^14 
        + 18/49*T^13 - 1/7*T^12 + 11/49*T^11 + 29/49*T^10 + 4/49*T^9 - 1/49*T^8 + 
        33/49*T^7 - 25/49*T^6 - 53/49*T^5 + 18/49*T^4 + 3/49*T^3 - 31/49*T^2 + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + X*Y^3 + 2*X*Y^2 + X*Y + 
        5*X + Y^18 + 4*Y^17 + 5*Y^16 + 2*Y^15 + 5*Y^14 + 4*Y^13 + 4*Y^12 + 3*Y^11 + 
        Y^10 + 6*Y^9 + 5*Y^7 + 4*Y^6 + 6*Y^5 + 3*Y^4 + 2*Y^3 + 2*Y^2 + 6*Y + 2,
    -T^32 + 3/7*T^31 - 19/49*T^30 + 94/49*T^29 - 22/49*T^28 + 2/7*T^27 - 76/49*T^26 
        + 22/49*T^25 + 2/7*T^24 + 12/7*T^23 - 31/49*T^22 - 23/49*T^21 - 107/49*T^20 
        + 11/49*T^19 + 44/49*T^18 + 11/7*T^17 - 11/7*T^15 - 44/49*T^14 - 11/49*T^13 
        + 107/49*T^12 + 23/49*T^11 + 31/49*T^10 - 12/7*T^9 - 2/7*T^8 - 22/49*T^7 + 
        76/49*T^6 - 2/7*T^5 + 22/49*T^4 - 94/49*T^3 + 19/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + X*Y^6 + 4*X*Y^3 + 5*Y^18 + Y^17 + 5*Y^16 + 
        Y^14 + Y^13 + 3*Y^12 + 2*Y^10 + 6*Y^7 + 2*Y^5 + 3*Y^4 + 4*Y^3 + 4*Y^2 + 5*Y 
        + 1,
    -T^32 + 9/7*T^31 - 17/49*T^30 - 57/49*T^29 + 72/49*T^28 - 3/49*T^27 - 53/49*T^26
        + 40/49*T^25 + 67/49*T^24 - 137/49*T^23 + 58/49*T^22 + 94/49*T^21 - 
        151/49*T^20 + 47/49*T^19 + 13/7*T^18 - 109/49*T^17 + 109/49*T^15 - 13/7*T^14
        - 47/49*T^13 + 151/49*T^12 - 94/49*T^11 - 58/49*T^10 + 137/49*T^9 - 
        67/49*T^8 - 40/49*T^7 + 53/49*T^6 + 3/49*T^5 - 72/49*T^4 + 57/49*T^3 + 
        17/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + X*Y^3 + 4*X*Y^2 
        + 6*X*Y + 2*X + 6*Y^18 + 5*Y^17 + 2*Y^16 + 2*Y^15 + 5*Y^14 + 6*Y^13 + 3*Y^12
        + Y^11 + Y^10 + 5*Y^9 + 3*Y^8 + 3*Y^6 + Y^5 + 5*Y^4 + 4*Y^3 + 5*Y^2 + 1,
    T^32 + 10/7*T^31 - 36/49*T^30 - 155/49*T^29 - 16/7*T^28 + 47/49*T^27 + 
        103/49*T^26 + 48/49*T^25 + 15/49*T^24 + 33/49*T^23 + 12/49*T^22 - 24/49*T^21
        - 10/49*T^20 + 3/49*T^19 - 15/49*T^18 - 22/49*T^17 - 12/49*T^16 - 22/49*T^15
        - 15/49*T^14 + 3/49*T^13 - 10/49*T^12 - 24/49*T^11 + 12/49*T^10 + 33/49*T^9 
        + 15/49*T^8 + 48/49*T^7 + 103/49*T^6 + 47/49*T^5 - 16/7*T^4 - 155/49*T^3 - 
        36/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 
        5*X*Y^2 + 2*X*Y + 3*X + 2*Y^18 + Y^17 + Y^16 + 2*Y^15 + 6*Y^14 + 6*Y^13 + 
        Y^12 + 2*Y^11 + 3*Y^10 + 5*Y^9 + 4*Y^8 + 3*Y^7 + 6*Y^5 + 3*Y^4 + 6*Y^3 + 
        2*Y^2 + 4,
    -T^32 + 3/7*T^31 + 79/49*T^30 - 73/49*T^29 - 29/49*T^28 + 97/49*T^27 - 9/49*T^26
        - 51/49*T^25 + 39/49*T^24 - 6/49*T^23 - 24/49*T^22 + 16/49*T^21 - 30/49*T^20
        - 2/49*T^19 + 17/49*T^18 - 16/49*T^17 + 16/49*T^15 - 17/49*T^14 + 2/49*T^13 
        + 30/49*T^12 - 16/49*T^11 + 24/49*T^10 + 6/49*T^9 - 39/49*T^8 + 51/49*T^7 + 
        9/49*T^6 - 97/49*T^5 + 29/49*T^4 + 73/49*T^3 - 79/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 6*X*Y^3 + 2*X*Y + 2*X + 
        4*Y^18 + Y^17 + 2*Y^16 + Y^14 + 5*Y^13 + 4*Y^12 + 2*Y^11 + 5*Y^10 + 5*Y^8 + 
        3*Y^7 + Y^6 + 3*Y^5 + 5*Y^4 + 4*Y^3 + 6*Y^2 + 4*Y,
    T^32 + 6/7*T^31 + 20/49*T^30 - 19/49*T^29 - 78/49*T^28 - 46/49*T^27 - 17/49*T^26
        - 17/49*T^25 + 26/49*T^24 + 9/49*T^23 + 43/49*T^22 + 57/49*T^21 - 2/7*T^20 -
        25/49*T^19 - 30/49*T^18 - 15/49*T^17 + 55/49*T^16 - 15/49*T^15 - 30/49*T^14 
        - 25/49*T^13 - 2/7*T^12 + 57/49*T^11 + 43/49*T^10 + 9/49*T^9 + 26/49*T^8 - 
        17/49*T^7 - 17/49*T^6 - 46/49*T^5 - 78/49*T^4 - 19/49*T^3 + 20/49*T^2 + 
        6/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        4*X*Y^2 + 2*X + Y^18 + 6*Y^17 + 6*Y^16 + 4*Y^15 + 3*Y^14 + 6*Y^13 + 4*Y^12 +
        2*Y^11 + Y^9 + 3*Y^7 + 3*Y^6 + 5*Y^5 + 5*Y^4 + 2*Y^3 + 2*Y^2 + 2*Y,
    -T^32 - T^31 - 13/49*T^30 - 12/49*T^29 + 5/49*T^28 + 48/49*T^27 + 85/49*T^26 + 
        80/49*T^25 + 50/49*T^24 + 31/49*T^23 - 5/49*T^22 - 64/49*T^21 - 99/49*T^20 -
        102/49*T^19 - 79/49*T^18 - T^17 + T^15 + 79/49*T^14 + 102/49*T^13 + 
        99/49*T^12 + 64/49*T^11 + 5/49*T^10 - 31/49*T^9 - 50/49*T^8 - 80/49*T^7 - 
        85/49*T^6 - 48/49*T^5 - 5/49*T^4 + 12/49*T^3 + 13/49*T^2 + T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + 5*X*Y^3 + 3*X*Y + 
        5*X + 3*Y^18 + 5*Y^17 + 2*Y^16 + 6*Y^15 + 6*Y^14 + 4*Y^13 + 4*Y^12 + 3*Y^11 
        + 3*Y^9 + 4*Y^7 + 2*Y^5 + 6*Y^4 + 4*Y^3 + 3*Y^2 + 4*Y + 5,
    -T^32 + 5/7*T^31 + 16/49*T^30 - 33/49*T^29 + 22/49*T^28 + 13/49*T^27 - 8/49*T^26
        + 30/49*T^25 - 53/49*T^23 + 39/49*T^22 + 27/49*T^21 - 55/49*T^20 - 
        15/49*T^19 + 3/7*T^18 - 10/49*T^17 + 10/49*T^15 - 3/7*T^14 + 15/49*T^13 + 
        55/49*T^12 - 27/49*T^11 - 39/49*T^10 + 53/49*T^9 - 30/49*T^7 + 8/49*T^6 - 
        13/49*T^5 - 22/49*T^4 + 33/49*T^3 - 16/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 
        4*X*Y^2 + 2*X + 2*Y^18 + 6*Y^17 + 6*Y^16 + 2*Y^15 + 4*Y^13 + 3*Y^12 + 6*Y^11
        + 3*Y^10 + 3*Y^9 + 4*Y^8 + 5*Y^7 + Y^6 + 2*Y^5 + 3*Y^4 + 2*Y^3 + 6*Y^2 + 3*Y
        + 3,
    T^32 + 9/7*T^31 + 46/49*T^30 - 9/49*T^29 + 10/49*T^28 + 6/7*T^27 + 47/49*T^26 + 
        4/49*T^25 - 12/49*T^24 - 6/7*T^23 - 46/49*T^22 - 40/49*T^21 + 5/49*T^20 - 
        17/49*T^19 - 37/49*T^18 - 50/49*T^17 - 26/49*T^16 - 50/49*T^15 - 37/49*T^14 
        - 17/49*T^13 + 5/49*T^12 - 40/49*T^11 - 46/49*T^10 - 6/7*T^9 - 12/49*T^8 + 
        4/49*T^7 + 47/49*T^6 + 6/7*T^5 + 10/49*T^4 - 9/49*T^3 + 46/49*T^2 + 9/7*T + 
        1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 2*X*Y^2 + 2*X*Y + 3*X + 
        Y^18 + 2*Y^17 + 6*Y^16 + 3*Y^15 + 6*Y^14 + 6*Y^11 + 3*Y^10 + 3*Y^9 + 6*Y^8 +
        4*Y^7 + 6*Y^6 + 2*Y^5 + Y^4 + 3*Y^3 + 3*Y^2 + 4,
    -T^32 + 4/7*T^31 - 3/7*T^30 + 17/49*T^29 + 22/49*T^28 - 9/49*T^27 - 1/49*T^26 - 
        24/49*T^25 - 2/49*T^24 - 11/49*T^23 + 25/49*T^22 + 1/49*T^21 + 3/7*T^20 - 
        23/49*T^19 - 24/49*T^18 - 22/49*T^17 + 22/49*T^15 + 24/49*T^14 + 23/49*T^13 
        - 3/7*T^12 - 1/49*T^11 - 25/49*T^10 + 11/49*T^9 + 2/49*T^8 + 24/49*T^7 + 
        1/49*T^6 + 9/49*T^5 - 22/49*T^4 - 17/49*T^3 + 3/7*T^2 - 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + 
        3*X*Y + 3*Y^18 + 6*Y^16 + 4*Y^15 + 2*Y^13 + 5*Y^11 + 2*Y^9 + 4*Y^8 + 3*Y^4 +
        6*Y^3 + 5*Y^2 + 4,
    T^32 + T^31 - 3/7*T^30 - 3/7*T^29 - 19/49*T^28 - 13/49*T^27 + 27/49*T^26 + 
        12/49*T^25 + 5/49*T^23 - 33/49*T^22 - 11/49*T^21 + 13/49*T^20 - 46/49*T^19 -
        2/7*T^18 + 25/49*T^17 - 4/49*T^16 + 25/49*T^15 - 2/7*T^14 - 46/49*T^13 + 
        13/49*T^12 - 11/49*T^11 - 33/49*T^10 + 5/49*T^9 + 12/49*T^7 + 27/49*T^6 - 
        13/49*T^5 - 19/49*T^4 - 3/7*T^3 - 3/7*T^2 + T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        3*X*Y^2 + 5*X + Y^18 + 5*Y^16 + 5*Y^15 + Y^14 + 4*Y^13 + 6*Y^12 + Y^11 + 
        4*Y^10 + 5*Y^9 + 6*Y^8 + 6*Y^7 + 5*Y^6 + Y^4 + 4*Y^3 + Y^2,
    -T^32 + 5/7*T^31 + 31/49*T^30 - 96/49*T^29 + 3/7*T^28 + 71/49*T^27 - 6/7*T^26 - 
        4/7*T^25 + T^24 + 27/49*T^23 - 11/49*T^22 - 19/49*T^21 + 32/49*T^20 + 
        18/49*T^19 - 16/49*T^18 - 2/49*T^17 + 2/49*T^15 + 16/49*T^14 - 18/49*T^13 - 
        32/49*T^12 + 19/49*T^11 + 11/49*T^10 - 27/49*T^9 - T^8 + 4/7*T^7 + 6/7*T^6 -
        71/49*T^5 - 3/7*T^4 + 96/49*T^3 - 31/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + 6*X*Y + X + Y^18 + 3*Y^17 + 3*Y^16 + 2*Y^15 + 2*Y^14 + 3*Y^13 + 
        4*Y^12 + 2*Y^11 + 3*Y^10 + 3*Y^8 + 3*Y^7 + Y^6 + 6*Y^5 + 6*Y^4 + 2*Y^3 + Y^2
        + 6*Y + 4,
    -T^32 + 8/7*T^31 - 13/7*T^30 + 89/49*T^29 - 66/49*T^28 + 44/49*T^27 - 1/49*T^26 
        - 41/49*T^25 + 10/7*T^24 - 94/49*T^23 + 120/49*T^22 - 118/49*T^21 + 
        104/49*T^20 - 90/49*T^19 + 48/49*T^18 - 38/49*T^17 + 38/49*T^15 - 48/49*T^14
        + 90/49*T^13 - 104/49*T^12 + 118/49*T^11 - 120/49*T^10 + 94/49*T^9 - 
        10/7*T^8 + 41/49*T^7 + 1/49*T^6 - 44/49*T^5 + 66/49*T^4 - 89/49*T^3 + 
        13/7*T^2 - 8/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 
        X*Y^2 + X + 6*Y^18 + 3*Y^17 + 5*Y^14 + 2*Y^12 + 6*Y^11 + 2*Y^10 + 2*Y^9 + 
        2*Y^8 + 5*Y^7 + 3*Y^6 + 5*Y^5 + 3*Y^4 + 2*Y^2 + 4*Y + 1,
    -T^32 - 6/7*T^31 + 30/49*T^30 + 74/49*T^29 - 4/49*T^28 - 44/49*T^27 - 2/7*T^26 +
        6/7*T^25 + 24/49*T^24 + 18/49*T^23 - 8/49*T^22 - 19/49*T^21 - 17/49*T^20 + 
        15/49*T^19 + 17/49*T^18 + 12/49*T^17 - 12/49*T^15 - 17/49*T^14 - 15/49*T^13 
        + 17/49*T^12 + 19/49*T^11 + 8/49*T^10 - 18/49*T^9 - 24/49*T^8 - 6/7*T^7 + 
        2/7*T^6 + 44/49*T^5 + 4/49*T^4 - 74/49*T^3 - 30/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 3*X*Y^4 + 4*X*Y + 5*X + 3*Y^18 + 
        4*Y^17 + Y^16 + 5*Y^15 + Y^13 + Y^10 + 3*Y^8 + 3*Y^7 + 5*Y^6 + 2*Y^5 + 6*Y^4
        + 5*Y^3 + 6*Y^2 + Y + 4,
    T^32 - 1/7*T^31 + 24/49*T^30 + 6/49*T^29 - 25/49*T^28 - 4/7*T^27 - 2/7*T^26 - 
        40/49*T^25 - 4/7*T^24 + 8/49*T^23 - 34/49*T^22 + 18/49*T^21 + 24/49*T^20 - 
        4/49*T^19 + 26/49*T^18 + 29/49*T^17 + 1/49*T^16 + 29/49*T^15 + 26/49*T^14 - 
        4/49*T^13 + 24/49*T^12 + 18/49*T^11 - 34/49*T^10 + 8/49*T^9 - 4/7*T^8 - 
        40/49*T^7 - 2/7*T^6 - 4/7*T^5 - 25/49*T^4 + 6/49*T^3 + 24/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + 5*X*Y^4 + 4*X*Y^2 + 2*X*Y + X + 3*Y^18 + 
        4*Y^17 + 5*Y^16 + 5*Y^15 + 2*Y^14 + 3*Y^13 + 5*Y^12 + 3*Y^9 + Y^8 + 5*Y^7 + 
        6*Y^4 + 6*Y^3 + 4*Y^2 + 4*Y,
    T^32 - 8/7*T^31 + 5/7*T^29 - 29/49*T^28 + 16/49*T^27 - 3/7*T^26 + 11/49*T^25 - 
        6/49*T^24 - 2/49*T^23 + 6/49*T^22 + 2/49*T^21 - 6/49*T^20 - 11/49*T^19 + 
        11/49*T^18 + 1/7*T^17 - 3/49*T^16 + 1/7*T^15 + 11/49*T^14 - 11/49*T^13 - 
        6/49*T^12 + 2/49*T^11 + 6/49*T^10 - 2/49*T^9 - 6/49*T^8 + 11/49*T^7 - 
        3/7*T^6 + 16/49*T^5 - 29/49*T^4 + 5/7*T^3 - 8/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 2*X*Y^2 + 
        5*X*Y + 5*Y^18 + 4*Y^17 + Y^15 + 2*Y^14 + 6*Y^12 + 6*Y^11 + 6*Y^10 + 2*Y^9 +
        5*Y^8 + 4*Y^7 + 2*Y^6 + 4*Y^5 + 5*Y^4 + Y^3 + 3*Y^2 + Y + 5,
    T^32 + 4/7*T^31 + 45/49*T^30 + 8/49*T^29 + 8/7*T^28 + 44/49*T^27 + 33/49*T^26 - 
        3/49*T^24 + 4/49*T^23 - 12/49*T^22 - 46/49*T^21 - 6/7*T^20 - 51/49*T^19 - 
        22/49*T^18 - 64/49*T^17 - 38/49*T^16 - 64/49*T^15 - 22/49*T^14 - 51/49*T^13 
        - 6/7*T^12 - 46/49*T^11 - 12/49*T^10 + 4/49*T^9 - 3/49*T^8 + 33/49*T^6 + 
        44/49*T^5 + 8/7*T^4 + 8/49*T^3 + 45/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + X*Y^4 + 4*X*Y^3 + 
        2*X*Y^2 + 3*X*Y + 6*X + 4*Y^18 + 2*Y^17 + 2*Y^16 + 4*Y^15 + Y^14 + 5*Y^13 + 
        6*Y^12 + 4*Y^11 + 6*Y^10 + 6*Y^9 + 3*Y^8 + 6*Y^7 + 6*Y^6 + 2*Y^5 + 2*Y^4 + 
        2*Y^3 + 3*Y^2 + 4*Y,
    -T^32 - 6/7*T^31 + 39/49*T^30 + 51/49*T^29 + 6/49*T^28 + 5/7*T^27 + 38/49*T^26 -
        47/49*T^25 - 60/49*T^24 - 1/49*T^23 - 6/49*T^22 - 30/49*T^21 + 25/49*T^20 + 
        8/7*T^19 + 30/49*T^18 + 3/49*T^17 - 3/49*T^15 - 30/49*T^14 - 8/7*T^13 - 
        25/49*T^12 + 30/49*T^11 + 6/49*T^10 + 1/49*T^9 + 60/49*T^8 + 47/49*T^7 - 
        38/49*T^6 - 5/7*T^5 - 6/49*T^4 - 51/49*T^3 - 39/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + X*Y^5 + 6*X*Y^3 + 3*X*Y^2 + 6*X*Y 
        + 4*X + 6*Y^18 + Y^17 + 5*Y^16 + 4*Y^15 + 2*Y^14 + 6*Y^13 + 4*Y^12 + 6*Y^11 
        + 2*Y^9 + Y^8 + 3*Y^7 + Y^6 + 3*Y^5 + 4*Y^4 + Y^3 + 6*Y^2 + 2*Y + 3,
    -T^32 + 1/7*T^31 + 10/7*T^30 - 22/49*T^29 - 4/7*T^28 + 3/49*T^27 + 4/49*T^26 - 
        18/49*T^25 + 10/49*T^24 + 9/7*T^23 - 34/49*T^22 - 22/49*T^21 + 31/49*T^20 - 
        25/49*T^19 + 8/49*T^18 + 29/49*T^17 - 29/49*T^15 - 8/49*T^14 + 25/49*T^13 - 
        31/49*T^12 + 22/49*T^11 + 34/49*T^10 - 9/7*T^9 - 10/49*T^8 + 18/49*T^7 - 
        4/49*T^6 - 3/49*T^5 + 4/7*T^4 + 22/49*T^3 - 10/7*T^2 - 1/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 4*X*Y^4 + X*Y^3 + 3*X*Y^2 + 4*X*Y + 4*X + 
        3*Y^18 + 2*Y^17 + Y^16 + 6*Y^15 + 2*Y^14 + 5*Y^13 + Y^12 + Y^11 + 6*Y^9 + 
        Y^7 + 4*Y^5 + Y^4 + 6*Y^3 + 5*Y^2 + Y + 3,
    -T^32 - 4/7*T^31 + 19/49*T^30 - 20/49*T^29 - 4/7*T^28 - 1/7*T^27 - 22/49*T^26 - 
        22/49*T^25 - 27/49*T^24 - 20/49*T^23 - 6/49*T^22 - 32/49*T^21 + 2/49*T^20 + 
        10/49*T^19 - 18/49*T^18 + 3/49*T^17 - 3/49*T^15 + 18/49*T^14 - 10/49*T^13 - 
        2/49*T^12 + 32/49*T^11 + 6/49*T^10 + 20/49*T^9 + 27/49*T^8 + 22/49*T^7 + 
        22/49*T^6 + 1/7*T^5 + 4/7*T^4 + 20/49*T^3 - 19/49*T^2 + 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + 6*X*Y + 6*X + 4*Y^18 + Y^17 + 3*Y^16 + 6*Y^15 + 3*Y^14 + 3*Y^11 + 
        4*Y^10 + 5*Y^9 + 2*Y^8 + 4*Y^7 + 5*Y^6 + 6*Y^5 + 2*Y^4 + 3*Y^2 + 3*Y + 6,
    -T^32 + 1/7*T^31 + 5/7*T^30 - 24/49*T^29 + 48/49*T^28 + 30/49*T^27 - 41/49*T^26 
        + 4/49*T^25 + 2/49*T^24 - 32/49*T^23 + 4/49*T^22 + 4/7*T^21 - 31/49*T^20 + 
        12/49*T^19 + 58/49*T^18 - 38/49*T^17 + 38/49*T^15 - 58/49*T^14 - 12/49*T^13 
        + 31/49*T^12 - 4/7*T^11 - 4/49*T^10 + 32/49*T^9 - 2/49*T^8 - 4/49*T^7 + 
        41/49*T^6 - 30/49*T^5 - 48/49*T^4 + 24/49*T^3 - 5/7*T^2 - 1/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + X*Y^4 + 4*X*Y^3 + 3*X*Y^2 + 2*X*Y 
        + 4*Y^18 + 6*Y^17 + 6*Y^16 + 4*Y^15 + 5*Y^14 + 2*Y^13 + 6*Y^12 + 4*Y^11 + 
        5*Y^10 + 4*Y^9 + 3*Y^8 + 2*Y^7 + 4*Y^6 + 5*Y^5 + 5*Y^4 + 4*Y + 5,
    T^32 + 5/7*T^31 - 2/7*T^30 - 26/49*T^29 - 41/49*T^28 - 18/49*T^27 - 2/49*T^26 - 
        2/7*T^25 + 6/49*T^24 + 5/7*T^23 + 26/49*T^22 + 22/49*T^21 - 9/49*T^19 - 
        9/49*T^18 - 26/49*T^17 - 4/7*T^16 - 26/49*T^15 - 9/49*T^14 - 9/49*T^13 + 
        22/49*T^11 + 26/49*T^10 + 5/7*T^9 + 6/49*T^8 - 2/7*T^7 - 2/49*T^6 - 
        18/49*T^5 - 41/49*T^4 - 26/49*T^3 - 2/7*T^2 + 5/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 4*X*Y^3 + 6*X*Y + 4*Y^18 + Y^17 + 
        Y^16 + 6*Y^15 + Y^14 + 5*Y^13 + Y^12 + 5*Y^11 + 6*Y^10 + 3*Y^9 + 2*Y^8 + 
        6*Y^5 + 2*Y^4 + 3*Y^3 + 4*Y^2 + 4,
    T^32 + 25/7*T^31 + 304/49*T^30 + 320/49*T^29 + 185/49*T^28 + 19/49*T^27 - 
        19/49*T^26 + 99/49*T^25 + 221/49*T^24 + 173/49*T^23 - 43/49*T^22 - 
        229/49*T^21 - 246/49*T^20 - 173/49*T^19 - 143/49*T^18 - 188/49*T^17 - 
        32/7*T^16 - 188/49*T^15 - 143/49*T^14 - 173/49*T^13 - 246/49*T^12 - 
        229/49*T^11 - 43/49*T^10 + 173/49*T^9 + 221/49*T^8 + 99/49*T^7 - 19/49*T^6 +
        19/49*T^5 + 185/49*T^4 + 320/49*T^3 + 304/49*T^2 + 25/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 3*X*Y^6 + 5*X*Y^5 + X*Y^3 + 5*X*Y^2 + 3*X*Y + X + 5*Y^18
        + 2*Y^17 + Y^16 + 6*Y^15 + Y^14 + 5*Y^13 + Y^12 + 3*Y^11 + 6*Y^10 + 5*Y^9 + 
        6*Y^8 + 2*Y^7 + 6*Y^6 + 5*Y^3 + 3*Y^2 + 2*Y,
    T^32 + T^31 - 2/49*T^30 - 26/49*T^29 - 11/49*T^28 - T^27 - 39/49*T^26 + 
        27/49*T^25 + 55/49*T^24 + 18/49*T^23 + 33/49*T^22 + 51/49*T^21 - 1/7*T^20 - 
        34/49*T^19 + 11/49*T^18 + 12/49*T^17 - 18/49*T^16 + 12/49*T^15 + 11/49*T^14 
        - 34/49*T^13 - 1/7*T^12 + 51/49*T^11 + 33/49*T^10 + 18/49*T^9 + 55/49*T^8 + 
        27/49*T^7 - 39/49*T^6 - T^5 - 11/49*T^4 - 26/49*T^3 - 2/49*T^2 + T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 5*X*Y^4 + 4*X*Y^3 + 5*X*Y + 6*X + 5*Y^18 + 
        2*Y^17 + 6*Y^16 + Y^14 + 3*Y^13 + Y^12 + 6*Y^11 + Y^10 + 6*Y^9 + 6*Y^8 + 
        3*Y^7 + 4*Y^6 + 3*Y^5 + 5*Y^4 + Y^3 + 4*Y^2 + 4*Y + 6,
    T^32 + 13/7*T^31 + 74/49*T^30 + 43/49*T^29 + 60/49*T^28 + 45/49*T^27 + 9/49*T^26
        + 19/49*T^25 + 17/49*T^24 - 36/49*T^23 - 34/49*T^22 + 25/49*T^21 + 
        30/49*T^20 + 51/49*T^19 + 111/49*T^18 + 122/49*T^17 + 92/49*T^16 + 
        122/49*T^15 + 111/49*T^14 + 51/49*T^13 + 30/49*T^12 + 25/49*T^11 - 
        34/49*T^10 - 36/49*T^9 + 17/49*T^8 + 19/49*T^7 + 9/49*T^6 + 45/49*T^5 + 
        60/49*T^4 + 43/49*T^3 + 74/49*T^2 + 13/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 2*X*Y^6 + 5*X*Y^4 + 6*X*Y^2 + X + 6*Y^18 + 5*Y^17 + 
        6*Y^16 + 2*Y^15 + 5*Y^14 + 2*Y^13 + 5*Y^12 + 2*Y^11 + 2*Y^9 + 5*Y^7 + 6*Y^6 
        + 4*Y^5 + Y^4 + 3*Y^3 + 2*Y^2 + 4*Y + 6,
    T^32 + 9/7*T^31 + 23/49*T^30 + 31/49*T^29 - 6/49*T^28 - 8/7*T^27 - 81/49*T^26 - 
        69/49*T^25 - 38/49*T^24 - 45/49*T^23 - 17/49*T^22 - 5/49*T^21 + 1/7*T^20 + 
        2/7*T^19 + 6/7*T^18 + 69/49*T^17 + 47/49*T^16 + 69/49*T^15 + 6/7*T^14 + 
        2/7*T^13 + 1/7*T^12 - 5/49*T^11 - 17/49*T^10 - 45/49*T^9 - 38/49*T^8 - 
        69/49*T^7 - 81/49*T^6 - 8/7*T^5 - 6/49*T^4 + 31/49*T^3 + 23/49*T^2 + 9/7*T +
        1
*], [*
    X^3 + 5*X*Y^8 + 6*X*Y^7 + X*Y^5 + 3*X*Y^4 + X*Y^3 + 2*X*Y^2 + 4*X*Y + 4*X + 
        5*Y^18 + Y^16 + 2*Y^15 + 5*Y^14 + 4*Y^13 + 3*Y^12 + 5*Y^11 + 4*Y^10 + 3*Y^9 
        + 3*Y^8 + 5*Y^7 + 5*Y^6 + 3*Y^5 + 5*Y^4 + 6*Y^3 + 4*Y^2,
    -T^32 - 4/7*T^31 + 71/49*T^30 - 5/49*T^29 - 81/49*T^28 + 62/49*T^27 + 60/49*T^26
        - 107/49*T^25 - 5/7*T^24 + 83/49*T^23 - 4/7*T^22 - T^21 + 60/49*T^20 + 
        1/49*T^19 - 54/49*T^18 + 18/49*T^17 - 18/49*T^15 + 54/49*T^14 - 1/49*T^13 - 
        60/49*T^12 + T^11 + 4/7*T^10 - 83/49*T^9 + 5/7*T^8 + 107/49*T^7 - 60/49*T^6 
        - 62/49*T^5 + 81/49*T^4 + 5/49*T^3 - 71/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 3*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 
        2*X*Y + 6*X + 4*Y^18 + 5*Y^16 + 6*Y^15 + 6*Y^13 + 5*Y^12 + 5*Y^10 + 6*Y^9 + 
        6*Y^8 + 2*Y^7 + 3*Y^6 + 2*Y^5 + Y^4 + 4*Y^3 + 6*Y^2 + 2*Y + 2,
    T^32 - 3/7*T^31 + 13/49*T^30 + 26/49*T^29 - 44/49*T^28 + 61/49*T^27 - 6/49*T^26 
        + 15/49*T^25 + 32/49*T^24 - 9/49*T^23 + 27/49*T^22 - 22/49*T^21 + 44/49*T^20
        - 11/49*T^19 + 1/49*T^18 + 51/49*T^17 - 51/49*T^16 + 51/49*T^15 + 1/49*T^14 
        - 11/49*T^13 + 44/49*T^12 - 22/49*T^11 + 27/49*T^10 - 9/49*T^9 + 32/49*T^8 +
        15/49*T^7 - 6/49*T^6 + 61/49*T^5 - 44/49*T^4 + 26/49*T^3 + 13/49*T^2 - 3/7*T
        + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + X*Y^3 + 4*X*Y^2 
        + X*Y + 6*X + Y^18 + Y^17 + 5*Y^16 + 6*Y^14 + 5*Y^13 + 4*Y^11 + 4*Y^10 + 
        5*Y^9 + 5*Y^8 + Y^5 + 5*Y^4 + 3*Y^3 + 6*Y^2 + 2*Y + 3,
    T^32 - 10/49*T^30 + 40/49*T^29 - 15/49*T^28 + 2/7*T^27 + 31/49*T^26 - 6/49*T^25 
        - 6/49*T^24 + 19/49*T^23 + 1/49*T^22 - 13/49*T^21 + 18/49*T^20 - 13/49*T^19 
        - 13/49*T^18 + 1/49*T^17 - 25/49*T^16 + 1/49*T^15 - 13/49*T^14 - 13/49*T^13 
        + 18/49*T^12 - 13/49*T^11 + 1/49*T^10 + 19/49*T^9 - 6/49*T^8 - 6/49*T^7 + 
        31/49*T^6 + 2/7*T^5 - 15/49*T^4 + 40/49*T^3 - 10/49*T^2 + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 6*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 3*X*Y^2 + 2*X*Y + 5*X + 
        3*Y^18 + 4*Y^17 + 6*Y^16 + 5*Y^15 + 2*Y^14 + 3*Y^13 + 4*Y^12 + 3*Y^11 + 
        4*Y^10 + 3*Y^9 + Y^8 + 4*Y^7 + Y^6 + 4*Y^5 + 6*Y^4 + Y^3 + 4*Y^2 + 4*Y + 6,
    -T^32 - 13/7*T^31 - 75/49*T^30 + 29/49*T^29 + 96/49*T^28 + 55/49*T^27 - 5/7*T^26
        - 90/49*T^25 - 9/7*T^24 - 17/49*T^23 + 13/49*T^22 + 3/7*T^21 + 27/49*T^20 + 
        16/49*T^19 - 37/49*T^18 - 54/49*T^17 + 54/49*T^15 + 37/49*T^14 - 16/49*T^13 
        - 27/49*T^12 - 3/7*T^11 - 13/49*T^10 + 17/49*T^9 + 9/7*T^8 + 90/49*T^7 + 
        5/7*T^6 - 55/49*T^5 - 96/49*T^4 - 29/49*T^3 + 75/49*T^2 + 13/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 
        4*X*Y^2 + 6*Y^18 + 2*Y^17 + 2*Y^16 + 6*Y^15 + Y^14 + 2*Y^12 + 5*Y^11 + 6*Y^9
        + 3*Y^8 + 3*Y^7 + 5*Y^6 + 2*Y^5 + 6*Y^4 + Y^2 + 2*Y + 2,
    -T^32 + 64/49*T^30 - 5/49*T^29 - 31/49*T^28 - 3/49*T^27 + 10/49*T^26 - 
        13/49*T^25 - 3/7*T^24 + 3/7*T^23 + 34/49*T^22 - 25/49*T^21 - 30/49*T^20 + 
        1/7*T^19 + 23/49*T^18 + 2/49*T^17 - 2/49*T^15 - 23/49*T^14 - 1/7*T^13 + 
        30/49*T^12 + 25/49*T^11 - 34/49*T^10 - 3/7*T^9 + 3/7*T^8 + 13/49*T^7 - 
        10/49*T^6 + 3/49*T^5 + 31/49*T^4 + 5/49*T^3 - 64/49*T^2 + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + 2*X + 
        3*Y^18 + Y^17 + 6*Y^16 + 6*Y^14 + Y^13 + 6*Y^12 + 3*Y^11 + Y^10 + Y^9 + 
        2*Y^8 + 6*Y^7 + 4*Y^6 + 2*Y^5 + 3*Y^4 + 3*Y^3 + 5*Y^2 + 5*Y + 4,
    -T^32 + 9/7*T^31 - 2/49*T^30 - 43/49*T^29 + 30/49*T^28 - 2/49*T^27 - 2/49*T^26 -
        9/49*T^25 + 5/49*T^24 + 32/49*T^23 - 55/49*T^22 + 3/7*T^21 + 3/7*T^20 - 
        17/49*T^19 + 16/49*T^18 - 6/49*T^17 + 6/49*T^15 - 16/49*T^14 + 17/49*T^13 - 
        3/7*T^12 - 3/7*T^11 + 55/49*T^10 - 32/49*T^9 - 5/49*T^8 + 9/49*T^7 + 
        2/49*T^6 + 2/49*T^5 - 30/49*T^4 + 43/49*T^3 + 2/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 3*X*Y^4 + X*Y^3 + 6*X*Y^2 + 2*X*Y 
        + 2*X + 4*Y^18 + Y^17 + 2*Y^16 + 5*Y^15 + 4*Y^14 + Y^12 + 4*Y^11 + 2*Y^10 + 
        5*Y^8 + 4*Y^7 + 2*Y^6 + 5*Y^5 + Y^3 + Y^2 + 6*Y + 6,
    -T^32 + 9/7*T^31 - 25/49*T^30 - 15/49*T^29 + 41/49*T^28 - 12/49*T^27 - 
        15/49*T^26 + 48/49*T^25 - 53/49*T^24 + 5/7*T^23 + 1/7*T^22 - 39/49*T^21 + 
        4/49*T^20 + 18/49*T^19 - 37/49*T^18 + 20/49*T^17 - 20/49*T^15 + 37/49*T^14 -
        18/49*T^13 - 4/49*T^12 + 39/49*T^11 - 1/7*T^10 - 5/7*T^9 + 53/49*T^8 - 
        48/49*T^7 + 15/49*T^6 + 12/49*T^5 - 41/49*T^4 + 15/49*T^3 + 25/49*T^2 - 
        9/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 2*X*Y^7 + 3*X*Y^5 + X*Y^4 + X*Y^2 + 4*X*Y + X + 5*Y^18 + 2*Y^16 
        + 6*Y^15 + 2*Y^14 + 4*Y^13 + 3*Y^12 + Y^11 + 4*Y^10 + 6*Y^8 + 6*Y^7 + 6*Y^6 
        + Y^5 + 4*Y^4 + 4*Y^3 + 4*Y^2 + 5*Y + 1,
    T^32 + 15/7*T^31 + 2*T^30 + 60/49*T^29 + 57/49*T^28 + 10/7*T^27 + 44/49*T^26 + 
        1/7*T^25 + 4/49*T^24 + 15/49*T^23 + 23/49*T^22 + 3/7*T^21 + 9/49*T^20 - 
        22/49*T^19 - 46/49*T^18 - 48/49*T^17 - 51/49*T^16 - 48/49*T^15 - 46/49*T^14 
        - 22/49*T^13 + 9/49*T^12 + 3/7*T^11 + 23/49*T^10 + 15/49*T^9 + 4/49*T^8 + 
        1/7*T^7 + 44/49*T^6 + 10/7*T^5 + 57/49*T^4 + 60/49*T^3 + 2*T^2 + 15/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + X*Y^6 + X*Y^5 + 4*X*Y^4 + X*Y^3 + 6*X*Y^2 + 
        3*X*Y + 5*Y^18 + 4*Y^17 + 6*Y^16 + 5*Y^15 + 2*Y^14 + 5*Y^13 + 5*Y^12 + 
        4*Y^11 + 6*Y^9 + Y^8 + Y^7 + 5*Y^6 + 3*Y^5 + 2*Y^4 + 6*Y^3 + 2*Y^2 + 4*Y + 
        4,
    -T^32 - 12/7*T^31 - 20/49*T^30 + 8/7*T^29 + 44/49*T^28 + 4/7*T^27 + 41/49*T^26 +
        1/49*T^25 - 4/7*T^24 - 1/49*T^23 + 2/49*T^22 - 29/49*T^21 - 24/49*T^20 - 
        13/49*T^19 - 46/49*T^18 - 54/49*T^17 + 54/49*T^15 + 46/49*T^14 + 13/49*T^13 
        + 24/49*T^12 + 29/49*T^11 - 2/49*T^10 + 1/49*T^9 + 4/7*T^8 - 1/49*T^7 - 
        41/49*T^6 - 4/7*T^5 - 44/49*T^4 - 8/7*T^3 + 20/49*T^2 + 12/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 3*X*Y^7 + 5*X*Y^6 + X*Y^5 + 5*X*Y^4 + X*Y^3 + 5*X*Y^2 + 5*X*Y + 
        2*X + 2*Y^18 + 5*Y^16 + Y^15 + 5*Y^14 + 6*Y^13 + Y^12 + Y^10 + 6*Y^9 + 4*Y^8
        + 4*Y^7 + 2*Y^6 + 4*Y^5 + 6*Y^4 + 3*Y^3 + 6*Y^2 + 5*Y + 1,
    -T^32 - 5/7*T^31 - 12/49*T^30 - 39/49*T^29 + 1/49*T^28 + 9/49*T^27 - 2/49*T^26 +
        9/49*T^25 + 23/49*T^24 - 3/49*T^23 + 3/49*T^22 - 8/49*T^21 - 55/49*T^20 - 
        18/49*T^19 - 4/7*T^18 - 27/49*T^17 + 27/49*T^15 + 4/7*T^14 + 18/49*T^13 + 
        55/49*T^12 + 8/49*T^11 - 3/49*T^10 + 3/49*T^9 - 23/49*T^8 - 9/49*T^7 + 
        2/49*T^6 - 9/49*T^5 - 1/49*T^4 + 39/49*T^3 + 12/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 
        4*X*Y^2 + 5*X*Y + 2*X + 6*Y^18 + 6*Y^17 + 2*Y^16 + 6*Y^15 + 4*Y^14 + 4*Y^13 
        + Y^12 + 6*Y^10 + 2*Y^9 + 2*Y^8 + 5*Y^6 + 2*Y^5 + Y^3 + 2*Y^2 + 6,
    -T^32 + 4/7*T^31 + 76/49*T^30 - 69/49*T^29 - 36/49*T^28 + 11/7*T^27 - 19/49*T^26
        - 93/49*T^25 + 64/49*T^24 + 82/49*T^23 - 16/7*T^22 + 1/49*T^21 + 107/49*T^20
        - 11/7*T^19 - 50/49*T^18 + 83/49*T^17 - 83/49*T^15 + 50/49*T^14 + 11/7*T^13 
        - 107/49*T^12 - 1/49*T^11 + 16/7*T^10 - 82/49*T^9 - 64/49*T^8 + 93/49*T^7 + 
        19/49*T^6 - 11/7*T^5 + 36/49*T^4 + 69/49*T^3 - 76/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 2*X*Y^5 + 6*X*Y^4 + 5*X*Y^3 + X*Y^2 + 6*X*Y 
        + 5*Y^18 + 3*Y^17 + 4*Y^16 + 6*Y^15 + 6*Y^14 + Y^13 + 3*Y^12 + 6*Y^11 + 
        4*Y^10 + 5*Y^8 + 5*Y^6 + 3*Y^5 + 3*Y^4 + Y^3 + 3*Y^2 + Y + 6,
    T^32 + 4/7*T^31 - 18/49*T^30 + 41/49*T^29 + 5/7*T^28 + 3/49*T^27 + 27/49*T^26 + 
        3/7*T^25 + 6/49*T^24 + 16/49*T^23 - 8/49*T^22 - 3/49*T^21 - 17/49*T^20 - 
        46/49*T^19 + 1/7*T^18 - 12/49*T^17 - 62/49*T^16 - 12/49*T^15 + 1/7*T^14 - 
        46/49*T^13 - 17/49*T^12 - 3/49*T^11 - 8/49*T^10 + 16/49*T^9 + 6/49*T^8 + 
        3/7*T^7 + 27/49*T^6 + 3/49*T^5 + 5/7*T^4 + 41/49*T^3 - 18/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + X*Y^5 + X*Y^4 + X*Y^3 + 3*X*Y^2 + 
        5*X*Y + 6*X + 5*Y^18 + 2*Y^17 + 2*Y^16 + 5*Y^15 + 4*Y^14 + 5*Y^13 + 3*Y^12 +
        5*Y^11 + Y^10 + 6*Y^9 + 5*Y^8 + 6*Y^7 + 2*Y^6 + 3*Y^5 + Y^4 + 3*Y^3 + 4*Y^2 
        + 2*Y + 5,
    T^32 + 6/7*T^31 - 25/49*T^30 - 34/49*T^29 - 22/49*T^28 + 19/49*T^27 + 46/49*T^26
        + 34/49*T^25 + 8/49*T^24 - 3/7*T^23 - 60/49*T^22 - 2/7*T^21 + 57/49*T^20 + 
        27/49*T^19 - 5/49*T^18 - 4/7*T^17 - 46/49*T^16 - 4/7*T^15 - 5/49*T^14 + 
        27/49*T^13 + 57/49*T^12 - 2/7*T^11 - 60/49*T^10 - 3/7*T^9 + 8/49*T^8 + 
        34/49*T^7 + 46/49*T^6 + 19/49*T^5 - 22/49*T^4 - 34/49*T^3 - 25/49*T^2 + 
        6/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + X*Y^3 + 5*X*Y^2 + 2*X + 
        5*Y^18 + 3*Y^17 + Y^16 + Y^15 + Y^14 + 3*Y^13 + 5*Y^12 + 2*Y^11 + 5*Y^10 + 
        6*Y^9 + Y^8 + 3*Y^7 + 5*Y^6 + 4*Y^5 + 5*Y^4 + 5*Y^3 + 2*Y + 3,
    T^32 - 2/7*T^31 - 30/49*T^30 + 74/49*T^29 - 1/7*T^28 - 123/49*T^27 + 72/49*T^26 
        + 36/49*T^25 - 150/49*T^24 + 74/49*T^23 + 120/49*T^22 - 151/49*T^21 + 
        5/7*T^20 + 181/49*T^19 - 156/49*T^18 - 11/7*T^17 + 198/49*T^16 - 11/7*T^15 -
        156/49*T^14 + 181/49*T^13 + 5/7*T^12 - 151/49*T^11 + 120/49*T^10 + 74/49*T^9
        - 150/49*T^8 + 36/49*T^7 + 72/49*T^6 - 123/49*T^5 - 1/7*T^4 + 74/49*T^3 - 
        30/49*T^2 - 2/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + X*Y + 
        2*X + 5*Y^18 + 6*Y^17 + 2*Y^16 + Y^15 + 2*Y^14 + 5*Y^13 + 6*Y^12 + 4*Y^11 + 
        2*Y^9 + 2*Y^8 + 4*Y^7 + 5*Y^5 + 4*Y^3 + 3*Y^2 + 2*Y + 6,
    -T^32 - 3/7*T^31 - 41/49*T^30 + 3/7*T^29 + 9/49*T^28 + 25/49*T^27 - 3/49*T^26 - 
        6/7*T^25 - 3/49*T^24 - 53/49*T^23 + 5/7*T^22 - 20/49*T^21 + 44/49*T^20 - 
        24/49*T^19 + 16/49*T^18 - 13/49*T^17 + 13/49*T^15 - 16/49*T^14 + 24/49*T^13 
        - 44/49*T^12 + 20/49*T^11 - 5/7*T^10 + 53/49*T^9 + 3/49*T^8 + 6/7*T^7 + 
        3/49*T^6 - 25/49*T^5 - 9/49*T^4 - 3/7*T^3 + 41/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 3*X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + X*Y^3 + 3*X*Y^2 + 3*X + 
        6*Y^18 + Y^17 + Y^16 + Y^14 + 5*Y^12 + 2*Y^11 + 3*Y^9 + 2*Y^8 + 2*Y^7 + 
        4*Y^6 + 6*Y^4 + 5*Y^3 + 5*Y^2 + 3*Y + 2,
    T^32 + 1/7*T^31 + 26/49*T^30 + 3/49*T^29 - 29/49*T^28 - 1/7*T^27 - 46/49*T^26 - 
        2/7*T^25 - 38/49*T^24 + 25/49*T^22 - 1/7*T^21 + 24/49*T^20 + 11/49*T^19 + 
        3/49*T^18 + 13/49*T^17 + 9/49*T^16 + 13/49*T^15 + 3/49*T^14 + 11/49*T^13 + 
        24/49*T^12 - 1/7*T^11 + 25/49*T^10 - 38/49*T^8 - 2/7*T^7 - 46/49*T^6 - 
        1/7*T^5 - 29/49*T^4 + 3/49*T^3 + 26/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 3*X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + 4*X*Y + 6*X + 
        2*Y^18 + Y^17 + 2*Y^16 + Y^15 + Y^14 + 4*Y^12 + 5*Y^11 + 5*Y^10 + 2*Y^8 + 
        4*Y^7 + 4*Y^6 + Y^5 + 4*Y^4 + 3*Y^3 + Y^2 + 2*Y + 5,
    T^32 + 11/7*T^31 - 38/49*T^30 - 2*T^29 + 9/49*T^28 + 64/49*T^27 + 13/49*T^26 - 
        10/49*T^25 + 25/49*T^24 - 3/7*T^23 - 107/49*T^22 - 22/49*T^21 + 93/49*T^20 +
        43/49*T^19 - 41/49*T^18 - 31/49*T^17 - 1/49*T^16 - 31/49*T^15 - 41/49*T^14 +
        43/49*T^13 + 93/49*T^12 - 22/49*T^11 - 107/49*T^10 - 3/7*T^9 + 25/49*T^8 - 
        10/49*T^7 + 13/49*T^6 + 64/49*T^5 + 9/49*T^4 - 2*T^3 - 38/49*T^2 + 11/7*T + 
        1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 6*X*Y^6 + 2*X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + X*Y 
        + X + 6*Y^18 + 6*Y^17 + 2*Y^16 + 3*Y^15 + 6*Y^11 + 5*Y^9 + Y^8 + 6*Y^7 + 
        2*Y^6 + Y^5 + 6*Y^4 + 3*Y^3 + 4*Y^2 + 5*Y + 1,
    T^32 - 6/7*T^31 + 5/7*T^30 - 2/7*T^29 - 11/49*T^28 + 2/7*T^27 - 41/49*T^26 + 
        4/7*T^25 - 11/49*T^24 - 15/49*T^23 + 12/49*T^22 - 27/49*T^21 + 26/49*T^20 - 
        2/49*T^19 - 27/49*T^18 + 54/49*T^17 - 8/7*T^16 + 54/49*T^15 - 27/49*T^14 - 
        2/49*T^13 + 26/49*T^12 - 27/49*T^11 + 12/49*T^10 - 15/49*T^9 - 11/49*T^8 + 
        4/7*T^7 - 41/49*T^6 + 2/7*T^5 - 11/49*T^4 - 2/7*T^3 + 5/7*T^2 - 6/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 
        2*X*Y^2 + 2*X*Y + 5*X + Y^18 + 2*Y^17 + Y^15 + Y^14 + 2*Y^12 + 3*Y^11 + 
        5*Y^9 + 4*Y^8 + 3*Y^7 + 5*Y^6 + 3*Y^5 + 3*Y^4 + Y^3 + 3*Y^2 + 4*Y,
    T^32 + T^31 - 15/49*T^30 - 52/49*T^29 - 1/49*T^28 + 32/49*T^27 - 11/49*T^26 - 
        47/49*T^25 - 36/49*T^24 - 11/49*T^23 - 3/49*T^22 - 17/49*T^21 - 9/49*T^20 + 
        19/49*T^19 + 3/7*T^18 + 26/49*T^17 + 12/49*T^16 + 26/49*T^15 + 3/7*T^14 + 
        19/49*T^13 - 9/49*T^12 - 17/49*T^11 - 3/49*T^10 - 11/49*T^9 - 36/49*T^8 - 
        47/49*T^7 - 11/49*T^6 + 32/49*T^5 - 1/49*T^4 - 52/49*T^3 - 15/49*T^2 + T + 1
*], [*
    X^3 + 4*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 6*X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + X*Y + 6*X + 
        3*Y^18 + 4*Y^17 + 5*Y^16 + 5*Y^15 + 4*Y^14 + 3*Y^12 + 4*Y^11 + Y^10 + 4*Y^9 
        + 5*Y^8 + 3*Y^7 + Y^6 + 4*Y^5 + 2*Y^4 + 2*Y^2 + 4*Y + 5,
    T^32 - 5/7*T^31 + 20/49*T^30 - 64/49*T^29 + 10/49*T^28 - 4/49*T^27 + 60/49*T^26 
        - 13/49*T^25 + 6/49*T^24 - 4/7*T^23 - 18/49*T^22 + 5/7*T^21 - 11/49*T^20 + 
        20/49*T^19 - 45/49*T^18 + 41/49*T^17 - 6/7*T^16 + 41/49*T^15 - 45/49*T^14 + 
        20/49*T^13 - 11/49*T^12 + 5/7*T^11 - 18/49*T^10 - 4/7*T^9 + 6/49*T^8 - 
        13/49*T^7 + 60/49*T^6 - 4/49*T^5 + 10/49*T^4 - 64/49*T^3 + 20/49*T^2 - 5/7*T
        + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 6*X*Y^5 + X*Y^4 + 4*X*Y^3 + 4*X*Y^2 + 
        2*X*Y + 6*Y^18 + 5*Y^17 + 3*Y^16 + 6*Y^15 + Y^13 + 4*Y^12 + 2*Y^11 + Y^10 + 
        2*Y^9 + 3*Y^8 + 2*Y^7 + 3*Y^6 + 2*Y^5 + Y^4 + 6*Y^3 + Y^2 + 4*Y + 2,
    T^32 + T^31 + 27/49*T^30 + 10/49*T^29 + 8/49*T^28 - 17/49*T^27 - 33/49*T^26 + 
        3/49*T^25 + 53/49*T^24 + 46/49*T^23 - 5/49*T^22 - 22/49*T^21 - 38/49*T^20 - 
        33/49*T^19 - 17/49*T^18 + 44/49*T^17 + 76/49*T^16 + 44/49*T^15 - 17/49*T^14 
        - 33/49*T^13 - 38/49*T^12 - 22/49*T^11 - 5/49*T^10 + 46/49*T^9 + 53/49*T^8 +
        3/49*T^7 - 33/49*T^6 - 17/49*T^5 + 8/49*T^4 + 10/49*T^3 + 27/49*T^2 + T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 
        3*X*Y^2 + X*Y + 5*X + 3*Y^18 + 3*Y^17 + Y^16 + 4*Y^14 + Y^13 + Y^12 + 6*Y^11
        + Y^10 + Y^8 + 2*Y^7 + 4*Y^6 + Y^4 + 3*Y^3 + Y^2 + 5*Y + 3,
    T^32 - 1/7*T^31 - 83/49*T^30 - 30/49*T^29 + 95/49*T^28 + 39/49*T^27 - 11/7*T^26 
        - T^25 + 67/49*T^24 + 74/49*T^23 - 25/49*T^22 - 90/49*T^21 - 34/49*T^20 + 
        58/49*T^19 + 68/49*T^18 - 15/49*T^17 - 79/49*T^16 - 15/49*T^15 + 68/49*T^14 
        + 58/49*T^13 - 34/49*T^12 - 90/49*T^11 - 25/49*T^10 + 74/49*T^9 + 67/49*T^8 
        - T^7 - 11/7*T^6 + 39/49*T^5 + 95/49*T^4 - 30/49*T^3 - 83/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + X*Y^6 + 3*X*Y^5 + 5*X*Y^4 + X*Y^3 + 6*X*Y^2 
        + 5*Y^18 + 3*Y^17 + 4*Y^16 + 2*Y^15 + 2*Y^14 + 5*Y^13 + 5*Y^12 + 3*Y^11 + 
        4*Y^10 + 5*Y^8 + 5*Y^6 + 2*Y^5 + 5*Y^4 + 2*Y^3 + 4*Y^2 + 6*Y + 6,
    -T^32 - 5/7*T^31 + 61/49*T^30 - 22/49*T^29 - 132/49*T^28 - 3/49*T^27 + 9/7*T^26 
        - 46/49*T^25 - 64/49*T^24 - 47/49*T^23 - 6/49*T^22 + 73/49*T^21 - 20/49*T^20
        - 131/49*T^19 + 6/49*T^18 + 123/49*T^17 - 123/49*T^15 - 6/49*T^14 + 
        131/49*T^13 + 20/49*T^12 - 73/49*T^11 + 6/49*T^10 + 47/49*T^9 + 64/49*T^8 + 
        46/49*T^7 - 9/7*T^6 + 3/49*T^5 + 132/49*T^4 + 22/49*T^3 - 61/49*T^2 + 5/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + X*Y^3 + X*Y + 2*X + 
        4*Y^18 + Y^16 + 4*Y^14 + 5*Y^13 + 3*Y^12 + 5*Y^11 + 2*Y^10 + 5*Y^9 + 5*Y^7 +
        Y^6 + Y^5 + 5*Y^4 + Y^3 + 3*Y^2 + 6,
    -T^32 - 2/7*T^31 + 4/49*T^30 - 13/49*T^29 + 11/49*T^28 + 32/49*T^27 + 34/49*T^26
        + 2/49*T^25 + 16/49*T^24 - 2/7*T^23 - 3/49*T^21 - 11/49*T^20 - 26/49*T^19 - 
        15/49*T^18 + 6/49*T^17 - 6/49*T^15 + 15/49*T^14 + 26/49*T^13 + 11/49*T^12 + 
        3/49*T^11 + 2/7*T^9 - 16/49*T^8 - 2/49*T^7 - 34/49*T^6 - 32/49*T^5 - 
        11/49*T^4 + 13/49*T^3 - 4/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + X*Y^6 + 2*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 4*Y^18
        + 5*Y^17 + 3*Y^16 + 3*Y^15 + Y^14 + 4*Y^13 + 4*Y^12 + 6*Y^11 + 5*Y^10 + 
        4*Y^9 + Y^8 + 2*Y^7 + 6*Y^3 + 2*Y + 1,
    T^32 - 5/7*T^31 + 22/49*T^29 - 1/7*T^28 + 34/49*T^27 - 24/49*T^26 + 16/49*T^25 +
        15/49*T^24 - 32/49*T^23 + 20/49*T^22 - 18/49*T^21 + 16/49*T^20 - 16/49*T^19 
        - 12/49*T^18 + 3/7*T^17 - T^16 + 3/7*T^15 - 12/49*T^14 - 16/49*T^13 + 
        16/49*T^12 - 18/49*T^11 + 20/49*T^10 - 32/49*T^9 + 15/49*T^8 + 16/49*T^7 - 
        24/49*T^6 + 34/49*T^5 - 1/7*T^4 + 22/49*T^3 - 5/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + X*Y^7 + X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 6*X*Y^3 + 6*X*Y^2 
        + Y^18 + 2*Y^17 + 5*Y^16 + Y^15 + 2*Y^14 + Y^13 + 2*Y^12 + 4*Y^11 + 4*Y^10 +
        3*Y^9 + 6*Y^7 + 2*Y^6 + 2*Y^5 + 5*Y^4 + 2*Y^3 + 5*Y + 6,
    T^32 + 2/7*T^31 - 80/49*T^30 + 6/49*T^29 + 24/49*T^28 - 8/7*T^27 + 6/49*T^26 + 
        6/7*T^25 + 13/49*T^24 - 16/49*T^23 - 2/7*T^22 + 5/7*T^21 + 2/7*T^20 - 
        27/49*T^19 + 34/49*T^18 - 87/49*T^16 + 34/49*T^14 - 27/49*T^13 + 2/7*T^12 + 
        5/7*T^11 - 2/7*T^10 - 16/49*T^9 + 13/49*T^8 + 6/7*T^7 + 6/49*T^6 - 8/7*T^5 +
        24/49*T^4 + 6/49*T^3 - 80/49*T^2 + 2/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + X*Y^4 + 2*X*Y^3 + 4*X*Y^2 
        + 2*X*Y + 3*X + 4*Y^18 + 3*Y^17 + 4*Y^16 + 4*Y^15 + 4*Y^14 + 4*Y^13 + 2*Y^12
        + 5*Y^11 + 2*Y^9 + 6*Y^8 + 4*Y^7 + 2*Y^6 + Y^5 + 6*Y^4 + 6*Y^3 + 2*Y + 3,
    -T^32 - 23/7*T^31 - 33/7*T^30 - 134/49*T^29 + 65/49*T^28 + 146/49*T^27 + 
        23/49*T^26 - 16/7*T^25 - 41/49*T^24 + 163/49*T^23 + 229/49*T^22 + 61/49*T^21
        - 97/49*T^20 - 1/7*T^19 + 215/49*T^18 + 5*T^17 - 5*T^15 - 215/49*T^14 + 
        1/7*T^13 + 97/49*T^12 - 61/49*T^11 - 229/49*T^10 - 163/49*T^9 + 41/49*T^8 + 
        16/7*T^7 - 23/49*T^6 - 146/49*T^5 - 65/49*T^4 + 134/49*T^3 + 33/7*T^2 + 
        23/7*T + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + X*Y^4 + 5*X*Y^2 + 3*X*Y + 
        X + 2*Y^18 + 3*Y^17 + 4*Y^16 + 2*Y^15 + 4*Y^14 + 5*Y^13 + 6*Y^12 + 2*Y^11 + 
        6*Y^10 + Y^9 + Y^8 + 6*Y^7 + Y^6 + 5*Y^4 + 2*Y^3 + Y^2 + 3*Y + 1,
    -T^32 + 37/49*T^30 + 13/49*T^29 - 22/49*T^28 + 3/49*T^27 - 2/7*T^26 - 12/49*T^25
        - 1/7*T^24 - 2/49*T^23 + 20/49*T^22 - 15/49*T^21 - 17/49*T^20 + 22/49*T^19 +
        19/49*T^18 - 33/49*T^17 + 33/49*T^15 - 19/49*T^14 - 22/49*T^13 + 17/49*T^12 
        + 15/49*T^11 - 20/49*T^10 + 2/49*T^9 + 1/7*T^8 + 12/49*T^7 + 2/7*T^6 - 
        3/49*T^5 + 22/49*T^4 - 13/49*T^3 - 37/49*T^2 + 1
*], [*
    X^3 + 6*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 
        5*X*Y + 6*X + 2*Y^18 + Y^17 + 5*Y^16 + Y^15 + 2*Y^13 + 2*Y^12 + 5*Y^11 + 
        4*Y^10 + 2*Y^9 + 4*Y^8 + 2*Y^7 + 6*Y^6 + 3*Y^5 + 4*Y^4 + 2*Y^3 + 3*Y^2 + 2*Y
        + 4,
    -T^32 + 3/7*T^31 + 93/49*T^30 - 8/7*T^29 - 2*T^28 + 12/7*T^27 + 29/49*T^26 - 
        65/49*T^25 + 29/49*T^24 + 25/49*T^23 - 31/49*T^22 + 11/49*T^21 + 2/49*T^20 -
        12/49*T^19 + 12/49*T^18 + 9/49*T^17 - 9/49*T^15 - 12/49*T^14 + 12/49*T^13 - 
        2/49*T^12 - 11/49*T^11 + 31/49*T^10 - 25/49*T^9 - 29/49*T^8 + 65/49*T^7 - 
        29/49*T^6 - 12/7*T^5 + 2*T^4 + 8/7*T^3 - 93/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + X*Y^4 + 4*X*Y^3 + 5*X*Y^2 
        + 2*X*Y + 4*X + 5*Y^18 + 3*Y^17 + 4*Y^16 + 5*Y^15 + 6*Y^13 + Y^12 + 5*Y^11 +
        3*Y^10 + 2*Y^9 + 2*Y^7 + 5*Y^6 + 3*Y^5 + 4*Y^4 + 3*Y + 6,
    T^32 + 3/7*T^31 - 5/49*T^30 + 10/49*T^29 - 16/49*T^28 - 17/49*T^27 + 9/49*T^26 -
        16/49*T^25 + 16/49*T^24 + 52/49*T^23 + 27/49*T^22 + 18/49*T^21 + 20/49*T^20 
        - 1/7*T^19 + 11/49*T^18 + 9/49*T^17 - 1/49*T^16 + 9/49*T^15 + 11/49*T^14 - 
        1/7*T^13 + 20/49*T^12 + 18/49*T^11 + 27/49*T^10 + 52/49*T^9 + 16/49*T^8 - 
        16/49*T^7 + 9/49*T^6 - 17/49*T^5 - 16/49*T^4 + 10/49*T^3 - 5/49*T^2 + 3/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 6*X*Y^2 + X*Y + 
        6*X + 3*Y^18 + 2*Y^17 + 2*Y^16 + 4*Y^15 + 2*Y^14 + 2*Y^13 + Y^12 + 5*Y^11 + 
        3*Y^10 + 4*Y^9 + 2*Y^8 + 5*Y^7 + Y^6 + 2*Y^5 + 6*Y^4 + 6*Y^3 + 4*Y^2 + Y + 
        4,
    T^32 - 6/7*T^31 + 43/49*T^30 - 27/49*T^29 + 9/49*T^28 - 24/49*T^27 - 6/49*T^26 +
        20/49*T^25 - 53/49*T^24 + 25/49*T^23 - 33/49*T^22 + 1/49*T^21 - 4/49*T^20 + 
        25/49*T^19 + 1/49*T^18 + 2/7*T^17 + 8/49*T^16 + 2/7*T^15 + 1/49*T^14 + 
        25/49*T^13 - 4/49*T^12 + 1/49*T^11 - 33/49*T^10 + 25/49*T^9 - 53/49*T^8 + 
        20/49*T^7 - 6/49*T^6 - 24/49*T^5 + 9/49*T^4 - 27/49*T^3 + 43/49*T^2 - 6/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 
        3*X*Y + 4*X + 5*Y^18 + 4*Y^16 + 4*Y^15 + 3*Y^12 + 6*Y^11 + 4*Y^10 + 2*Y^9 + 
        6*Y^8 + 4*Y^7 + 2*Y^6 + 2*Y^5 + Y^4 + 2*Y^3 + 6*Y^2 + 5*Y,
    T^32 + 6/7*T^31 - 79/49*T^30 - 17/7*T^29 - 23/49*T^28 + 13/7*T^27 + 128/49*T^26 
        + 9/7*T^25 - 86/49*T^24 - 25/7*T^23 - 43/49*T^22 + 120/49*T^21 + 94/49*T^20 
        + 9/49*T^19 - 13/49*T^18 - 31/49*T^17 - 54/49*T^16 - 31/49*T^15 - 13/49*T^14
        + 9/49*T^13 + 94/49*T^12 + 120/49*T^11 - 43/49*T^10 - 25/7*T^9 - 86/49*T^8 +
        9/7*T^7 + 128/49*T^6 + 13/7*T^5 - 23/49*T^4 - 17/7*T^3 - 79/49*T^2 + 6/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 6*X*Y + 3*X + Y^18 + 
        3*Y^17 + 5*Y^16 + 2*Y^15 + 3*Y^14 + Y^12 + 4*Y^11 + 6*Y^9 + 6*Y^8 + 3*Y^7 + 
        3*Y^5 + 4*Y^3 + 4*Y^2 + 6*Y + 3,
    T^32 - 10/7*T^31 + 68/49*T^29 - 37/49*T^28 - 37/49*T^27 + 58/49*T^26 - 1/7*T^25 
        - 45/49*T^24 + 18/49*T^23 + 43/49*T^22 - 48/49*T^21 + 10/49*T^20 + 
        24/49*T^19 - 3/7*T^18 - 25/49*T^17 + 8/7*T^16 - 25/49*T^15 - 3/7*T^14 + 
        24/49*T^13 + 10/49*T^12 - 48/49*T^11 + 43/49*T^10 + 18/49*T^9 - 45/49*T^8 - 
        1/7*T^7 + 58/49*T^6 - 37/49*T^5 - 37/49*T^4 + 68/49*T^3 - 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 3*X*Y^3 + 5*X*Y^2 + X*Y 
        + 3*X + 3*Y^18 + 4*Y^17 + 3*Y^16 + 3*Y^15 + 6*Y^14 + 4*Y^13 + 2*Y^11 + 
        4*Y^10 + 5*Y^9 + 3*Y^8 + 2*Y^7 + Y^6 + 5*Y^5 + 5*Y^4 + Y^3 + Y^2 + Y + 4,
    T^32 - 10/7*T^31 + 44/49*T^30 - 2/7*T^29 - 6/49*T^28 + 2/49*T^27 + 5/7*T^26 - 
        66/49*T^25 + 52/49*T^24 - 10/49*T^23 - 24/49*T^22 + 11/49*T^21 + 18/49*T^20 
        - 32/49*T^19 + 16/49*T^18 + 2/7*T^17 - 22/49*T^16 + 2/7*T^15 + 16/49*T^14 - 
        32/49*T^13 + 18/49*T^12 + 11/49*T^11 - 24/49*T^10 - 10/49*T^9 + 52/49*T^8 - 
        66/49*T^7 + 5/7*T^6 + 2/49*T^5 - 6/49*T^4 - 2/7*T^3 + 44/49*T^2 - 10/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 3*X*Y^4 + 3*X*Y^2 + X + 
        5*Y^18 + 3*Y^16 + 3*Y^15 + 5*Y^14 + 6*Y^13 + 5*Y^12 + Y^11 + 4*Y^10 + 2*Y^9 
        + Y^8 + 5*Y^7 + 2*Y^6 + 4*Y^5 + Y^4 + 3*Y^2 + Y + 3,
    T^32 - 8/7*T^30 + 1/7*T^29 - 27/49*T^28 + 9/49*T^27 + 62/49*T^26 - 23/49*T^25 - 
        25/49*T^24 - 17/49*T^23 - 31/49*T^22 + 11/49*T^21 + 22/49*T^20 + 24/49*T^19 
        + 1/7*T^18 - 11/49*T^17 - 1/49*T^16 - 11/49*T^15 + 1/7*T^14 + 24/49*T^13 + 
        22/49*T^12 + 11/49*T^11 - 31/49*T^10 - 17/49*T^9 - 25/49*T^8 - 23/49*T^7 + 
        62/49*T^6 + 9/49*T^5 - 27/49*T^4 + 1/7*T^3 - 8/7*T^2 + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 6*X*Y^4 + X*Y^3 + 3*X*Y^2 + 4*X + 
        6*Y^18 + 2*Y^16 + 2*Y^15 + Y^14 + 2*Y^13 + 3*Y^12 + 2*Y^11 + 3*Y^10 + Y^9 + 
        5*Y^8 + 3*Y^7 + 4*Y^5 + 6*Y^4 + 4*Y^3 + 4*Y^2 + Y + 4,
    -T^32 - 12/7*T^31 - 40/49*T^30 - 12/49*T^29 - 32/49*T^28 - 37/49*T^27 + 1/7*T^26
        + 66/49*T^25 + 90/49*T^24 + 61/49*T^23 + 39/49*T^22 + 65/49*T^21 + 2*T^20 + 
        73/49*T^19 + 26/49*T^18 + 6/49*T^17 - 6/49*T^15 - 26/49*T^14 - 73/49*T^13 - 
        2*T^12 - 65/49*T^11 - 39/49*T^10 - 61/49*T^9 - 90/49*T^8 - 66/49*T^7 - 
        1/7*T^6 + 37/49*T^5 + 32/49*T^4 + 12/49*T^3 + 40/49*T^2 + 12/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 5*X*Y^2 + 3*X*Y + 3*X + 
        3*Y^18 + 2*Y^17 + 3*Y^16 + 5*Y^15 + 4*Y^13 + 2*Y^12 + 3*Y^11 + Y^10 + 2*Y^9 
        + 5*Y^6 + Y^5 + 5*Y^3 + 4*Y^2 + 6*Y + 1,
    -T^32 + 44/49*T^30 + 8/49*T^29 - 19/49*T^28 + 5/49*T^27 + 19/49*T^26 - 
        29/49*T^25 + 2/7*T^24 + 13/49*T^23 - 4/49*T^22 + 12/49*T^21 + 5/49*T^20 - 
        22/49*T^19 - 17/49*T^18 + 36/49*T^17 - 36/49*T^15 + 17/49*T^14 + 22/49*T^13 
        - 5/49*T^12 - 12/49*T^11 + 4/49*T^10 - 13/49*T^9 - 2/7*T^8 + 29/49*T^7 - 
        19/49*T^6 - 5/49*T^5 + 19/49*T^4 - 8/49*T^3 - 44/49*T^2 + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^7 + 3*X*Y^6 + 2*X*Y^4 + 3*X*Y^2 + 6*X*Y + 2*Y^18 + 3*Y^17 + 
        2*Y^16 + 5*Y^15 + 6*Y^13 + Y^12 + Y^11 + Y^10 + 3*Y^9 + 2*Y^8 + 3*Y^7 + 
        3*Y^6 + 3*Y^5 + 6*Y^4 + 5*Y^3 + 4*Y^2 + 2*Y + 2,
    T^32 - 12/7*T^31 + 26/49*T^30 + 6/7*T^29 - 52/49*T^28 + 19/49*T^27 + 16/49*T^26 
        - 2/7*T^25 - 65/49*T^24 + 129/49*T^23 - 99/49*T^22 + 25/49*T^21 + 45/49*T^20
        - 88/49*T^19 + 12/7*T^18 - 38/49*T^17 + 10/49*T^16 - 38/49*T^15 + 12/7*T^14 
        - 88/49*T^13 + 45/49*T^12 + 25/49*T^11 - 99/49*T^10 + 129/49*T^9 - 65/49*T^8
        - 2/7*T^7 + 16/49*T^6 + 19/49*T^5 - 52/49*T^4 + 6/7*T^3 + 26/49*T^2 - 12/7*T
        + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + X*Y^2 + 4*X*Y + 
        3*X + 4*Y^18 + Y^17 + 5*Y^16 + 6*Y^15 + 2*Y^14 + Y^13 + 5*Y^12 + Y^11 + Y^10
        + 5*Y^9 + 5*Y^8 + 2*Y^7 + Y^6 + 4*Y^5 + 6*Y^4 + 2*Y^3 + 6*Y^2 + 3*Y + 2,
    T^32 + 3/7*T^31 + 23/49*T^30 - 2/7*T^29 - 46/49*T^28 - 13/49*T^27 + 10/49*T^26 +
        25/49*T^25 - 30/49*T^24 - 41/49*T^23 - 74/49*T^22 - 10/49*T^21 + 37/49*T^20 
        + 47/49*T^19 + 45/49*T^18 - 23/49*T^17 - 8/49*T^16 - 23/49*T^15 + 45/49*T^14
        + 47/49*T^13 + 37/49*T^12 - 10/49*T^11 - 74/49*T^10 - 41/49*T^9 - 30/49*T^8 
        + 25/49*T^7 + 10/49*T^6 - 13/49*T^5 - 46/49*T^4 - 2/7*T^3 + 23/49*T^2 + 
        3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 
        4*X*Y^2 + 3*X*Y + 3*Y^18 + 6*Y^17 + 5*Y^16 + 6*Y^14 + 2*Y^13 + Y^12 + Y^11 +
        6*Y^9 + 3*Y^8 + 3*Y^6 + 5*Y^5 + 2*Y^4 + 3*Y^3 + 5*Y^2 + 4*Y + 6,
    -T^32 - 2/7*T^31 + 8/7*T^30 + 31/49*T^29 - 39/49*T^28 - 18/49*T^27 + 40/49*T^26 
        + 23/49*T^25 + 13/49*T^24 + 1/7*T^23 - 16/49*T^22 - 52/49*T^21 + 1/49*T^20 +
        36/49*T^19 - 23/49*T^18 - 72/49*T^17 + 72/49*T^15 + 23/49*T^14 - 36/49*T^13 
        - 1/49*T^12 + 52/49*T^11 + 16/49*T^10 - 1/7*T^9 - 13/49*T^8 - 23/49*T^7 - 
        40/49*T^6 + 18/49*T^5 + 39/49*T^4 - 31/49*T^3 - 8/7*T^2 + 2/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^7 + X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + X + 4*Y^18 + 
        6*Y^17 + 4*Y^16 + Y^15 + 6*Y^14 + 3*Y^13 + 6*Y^11 + Y^10 + Y^9 + 2*Y^8 + 
        2*Y^7 + 6*Y^6 + 3*Y^5 + 4*Y^4 + 3*Y^3 + 3*Y + 3,
    T^32 - 4/7*T^31 - 11/49*T^30 - 17/49*T^29 - 4/49*T^28 + 26/49*T^27 + 17/49*T^26 
        - 2/7*T^25 - 4/49*T^24 - 10/49*T^23 + 3/7*T^22 + 36/49*T^21 - 38/49*T^20 - 
        5/49*T^19 - 37/49*T^18 + 18/49*T^17 + 51/49*T^16 + 18/49*T^15 - 37/49*T^14 -
        5/49*T^13 - 38/49*T^12 + 36/49*T^11 + 3/7*T^10 - 10/49*T^9 - 4/49*T^8 - 
        2/7*T^7 + 17/49*T^6 + 26/49*T^5 - 4/49*T^4 - 17/49*T^3 - 11/49*T^2 - 4/7*T +
        1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + X*Y^6 + 3*X*Y^4 + 5*X*Y^2 + 4*X*Y + 3*X + 
        6*Y^18 + 3*Y^17 + 5*Y^16 + 5*Y^15 + 6*Y^14 + 6*Y^13 + Y^11 + 6*Y^10 + 4*Y^9 
        + 2*Y^8 + 2*Y^7 + Y^6 + 5*Y^5 + 5*Y^4 + 6*Y^3 + 3*Y^2 + 3,
    -T^32 - 4/7*T^31 - 3/49*T^30 - 26/49*T^29 - 4/49*T^27 - 3/49*T^26 + 10/49*T^25 +
        6/49*T^24 + 25/49*T^23 + 15/49*T^22 + 4/49*T^21 + 30/49*T^20 + 5/49*T^19 + 
        5/49*T^18 - 3/49*T^17 + 3/49*T^15 - 5/49*T^14 - 5/49*T^13 - 30/49*T^12 - 
        4/49*T^11 - 15/49*T^10 - 25/49*T^9 - 6/49*T^8 - 10/49*T^7 + 3/49*T^6 + 
        4/49*T^5 + 26/49*T^3 + 3/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + X*Y^4 + 5*X*Y^3 + 6*X*Y 
        + 2*Y^18 + 4*Y^17 + 4*Y^16 + Y^15 + 3*Y^14 + Y^13 + 6*Y^12 + 4*Y^11 + 6*Y^10
        + 4*Y^9 + 4*Y^8 + Y^7 + 4*Y^6 + Y^5 + 2*Y^4 + 2*Y^3 + 5*Y^2 + 4*Y + 3,
    T^32 - 2/7*T^31 - 17/49*T^30 - 11/49*T^29 + 44/49*T^28 + 12/49*T^27 - 18/49*T^26
        - 11/49*T^25 + 17/49*T^24 + 11/49*T^23 - 1/49*T^22 - 15/49*T^21 - 5/49*T^20 
        + 15/49*T^19 - 2/7*T^18 + 13/49*T^17 - 29/49*T^16 + 13/49*T^15 - 2/7*T^14 + 
        15/49*T^13 - 5/49*T^12 - 15/49*T^11 - 1/49*T^10 + 11/49*T^9 + 17/49*T^8 - 
        11/49*T^7 - 18/49*T^6 + 12/49*T^5 + 44/49*T^4 - 11/49*T^3 - 17/49*T^2 - 
        2/7*T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 6*X*Y + 
        3*X + 4*Y^18 + Y^17 + 5*Y^16 + 3*Y^15 + 5*Y^14 + 5*Y^12 + 3*Y^11 + 5*Y^10 + 
        5*Y^9 + 5*Y^8 + 3*Y^7 + Y^6 + 2*Y^5 + 3*Y^4 + Y^3 + 3*Y^2 + 5*Y + 6,
    T^32 + 10/7*T^31 + 17/49*T^30 - 37/49*T^29 - 4/7*T^28 - 2/7*T^27 - 44/49*T^26 - 
        9/7*T^25 - 19/49*T^24 + 57/49*T^23 + 44/49*T^22 - 6/7*T^21 - 57/49*T^20 + 
        15/49*T^19 + 46/49*T^18 + 2/7*T^17 + 2/7*T^15 + 46/49*T^14 + 15/49*T^13 - 
        57/49*T^12 - 6/7*T^11 + 44/49*T^10 + 57/49*T^9 - 19/49*T^8 - 9/7*T^7 - 
        44/49*T^6 - 2/7*T^5 - 4/7*T^4 - 37/49*T^3 + 17/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + X*Y^2 + 4*X*Y 
        + 3*X + 4*Y^18 + 3*Y^17 + 6*Y^15 + 6*Y^14 + 6*Y^11 + Y^10 + 4*Y^8 + 5*Y^7 + 
        Y^6 + 2*Y^5 + 5*Y^4 + 2*Y^2 + Y + 2,
    -T^32 - 4/7*T^31 + 3/7*T^30 + 11/49*T^29 + 5/7*T^28 + 11/49*T^27 - 18/49*T^26 + 
        8/49*T^25 - 12/49*T^24 - 6/49*T^23 + 1/49*T^22 - 4/7*T^21 - 18/49*T^20 + 
        3/49*T^19 + 27/49*T^18 + 51/49*T^17 - 51/49*T^15 - 27/49*T^14 - 3/49*T^13 + 
        18/49*T^12 + 4/7*T^11 - 1/49*T^10 + 6/49*T^9 + 12/49*T^8 - 8/49*T^7 + 
        18/49*T^6 - 11/49*T^5 - 5/7*T^4 - 11/49*T^3 - 3/7*T^2 + 4/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 
        3*X*Y + X + 6*Y^18 + 2*Y^17 + 5*Y^16 + 3*Y^15 + 6*Y^13 + 3*Y^12 + Y^10 + 
        5*Y^9 + Y^7 + 3*Y^6 + 4*Y^4 + 4*Y^3 + 3*Y^2 + 4*Y + 6,
    T^32 + 10/7*T^31 + 53/49*T^30 + 8/49*T^29 - 22/49*T^28 - 15/49*T^27 + 16/49*T^25
        + 2/7*T^24 + 26/49*T^23 + 2/49*T^22 - 16/49*T^21 - 34/49*T^20 - 6/7*T^19 - 
        27/49*T^18 - 27/49*T^17 - 29/49*T^16 - 27/49*T^15 - 27/49*T^14 - 6/7*T^13 - 
        34/49*T^12 - 16/49*T^11 + 2/49*T^10 + 26/49*T^9 + 2/7*T^8 + 16/49*T^7 - 
        15/49*T^5 - 22/49*T^4 + 8/49*T^3 + 53/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^7 + X*Y^6 + X*Y^5 + 2*X*Y^4 + X*Y^2 + 3*X*Y + 4*X + 2*Y^18
        + 3*Y^17 + 6*Y^14 + 2*Y^13 + 6*Y^12 + 4*Y^11 + 4*Y^10 + 4*Y^9 + 5*Y^8 + 
        5*Y^7 + 6*Y^5 + Y^4 + Y^3 + 4*Y^2 + 4*Y + 6,
    T^32 + 3/7*T^31 - 24/49*T^30 - 29/49*T^29 + 9/49*T^28 + 38/49*T^27 + 27/49*T^26 
        - 13/49*T^25 - 39/49*T^24 - 26/49*T^23 + 34/49*T^22 + 20/49*T^21 + 
        15/49*T^20 - 43/49*T^19 - 57/49*T^18 + 4/49*T^17 + 37/49*T^16 + 4/49*T^15 - 
        57/49*T^14 - 43/49*T^13 + 15/49*T^12 + 20/49*T^11 + 34/49*T^10 - 26/49*T^9 -
        39/49*T^8 - 13/49*T^7 + 27/49*T^6 + 38/49*T^5 + 9/49*T^4 - 29/49*T^3 - 
        24/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 2*X*Y^7 + 3*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 3*X*Y + 3*X + 
        2*Y^18 + 5*Y^17 + 3*Y^16 + 5*Y^15 + 3*Y^14 + 3*Y^13 + 2*Y^12 + Y^11 + 3*Y^10
        + 5*Y^9 + 6*Y^8 + Y^7 + 5*Y^6 + 4*Y^5 + 5*Y^4 + Y^3 + 3*Y^2 + 2*Y + 1,
    -T^32 + T^31 - 31/49*T^30 - 48/49*T^29 + 58/49*T^28 - 66/49*T^27 + 1/49*T^26 - 
        5/49*T^25 - 29/49*T^24 + 46/49*T^23 - 78/49*T^22 + 2/7*T^21 + 4/7*T^20 - 
        60/49*T^19 + 19/49*T^18 + 1/7*T^17 - 1/7*T^15 - 19/49*T^14 + 60/49*T^13 - 
        4/7*T^12 - 2/7*T^11 + 78/49*T^10 - 46/49*T^9 + 29/49*T^8 + 5/49*T^7 - 
        1/49*T^6 + 66/49*T^5 - 58/49*T^4 + 48/49*T^3 + 31/49*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + X*Y^2 
        + X*Y + 2*X + 6*Y^18 + 6*Y^16 + Y^15 + Y^14 + 4*Y^13 + 4*Y^12 + Y^11 + 
        3*Y^10 + 2*Y^9 + 3*Y^8 + 4*Y^6 + 3*Y^5 + Y^4 + 2*Y^3 + 4*Y^2 + 4,
    -T^32 + 3/7*T^31 - 22/49*T^30 + 29/49*T^29 + 5/49*T^28 + 39/49*T^27 + 10/49*T^26
        + 24/49*T^25 + 13/49*T^24 - 69/49*T^23 + 16/49*T^22 - 61/49*T^21 + 
        34/49*T^20 - 29/49*T^19 + 46/49*T^18 - 13/49*T^17 + 13/49*T^15 - 46/49*T^14 
        + 29/49*T^13 - 34/49*T^12 + 61/49*T^11 - 16/49*T^10 + 69/49*T^9 - 13/49*T^8 
        - 24/49*T^7 - 10/49*T^6 - 39/49*T^5 - 5/49*T^4 - 29/49*T^3 + 22/49*T^2 - 
        3/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + X*Y^5 + X*Y^4 + X*Y^3 + 6*X*Y^2 + X*Y + 6*X 
        + 3*Y^18 + Y^17 + 6*Y^16 + 4*Y^15 + 4*Y^14 + 2*Y^13 + Y^12 + 6*Y^10 + Y^8 + 
        6*Y^7 + 3*Y^6 + 3*Y^5 + 2*Y^3 + 6*Y + 1,
    -T^32 + 12/7*T^31 - 85/49*T^30 + 67/49*T^29 - 60/49*T^28 + 29/49*T^27 - 
        29/49*T^26 + 10/7*T^25 - 92/49*T^24 + 64/49*T^23 - 26/49*T^22 + 27/49*T^21 -
        38/49*T^20 + 40/49*T^19 - 8/7*T^18 + 61/49*T^17 - 61/49*T^15 + 8/7*T^14 - 
        40/49*T^13 + 38/49*T^12 - 27/49*T^11 + 26/49*T^10 - 64/49*T^9 + 92/49*T^8 - 
        10/7*T^7 + 29/49*T^6 - 29/49*T^5 + 60/49*T^4 - 67/49*T^3 + 85/49*T^2 - 
        12/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 3*X*Y^7 + X*Y^6 + 5*X*Y^5 + X*Y^4 + 5*X*Y^2 + 4*X*Y + 2*X 
        + 2*Y^18 + 5*Y^17 + 6*Y^16 + 3*Y^15 + 6*Y^13 + Y^12 + Y^11 + 6*Y^10 + 4*Y^9 
        + 5*Y^8 + Y^7 + 6*Y^6 + Y^5 + Y^4 + 3*Y^2 + 4*Y + 4,
    T^32 - T^31 + 15/49*T^29 - 15/49*T^28 + 32/49*T^27 - 4/7*T^26 - 13/49*T^25 + 
        30/49*T^24 - 17/49*T^23 - 8/49*T^22 + 30/49*T^21 - 2/7*T^20 - 6/49*T^19 - 
        2/7*T^18 + 3/49*T^17 + 26/49*T^16 + 3/49*T^15 - 2/7*T^14 - 6/49*T^13 - 
        2/7*T^12 + 30/49*T^11 - 8/49*T^10 - 17/49*T^9 + 30/49*T^8 - 13/49*T^7 - 
        4/7*T^6 + 32/49*T^5 - 15/49*T^4 + 15/49*T^3 - T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        5*X*Y^2 + 5*X*Y + 5*X + 2*Y^18 + 6*Y^17 + 4*Y^16 + 4*Y^15 + Y^14 + 6*Y^12 + 
        4*Y^11 + 5*Y^10 + 3*Y^9 + 4*Y^8 + 3*Y^7 + 6*Y^6 + 5*Y^5 + 6*Y^4 + 4*Y^3 + 
        4*Y^2 + 5*Y + 6,
    -T^32 - 13/7*T^31 - 121/49*T^30 - 17/7*T^29 - 138/49*T^28 - 164/49*T^27 - 
        162/49*T^26 - 157/49*T^25 - 148/49*T^24 - 22/7*T^23 - 128/49*T^22 - 
        101/49*T^21 - 87/49*T^20 - 75/49*T^19 - 55/49*T^18 - 17/49*T^17 + 17/49*T^15
        + 55/49*T^14 + 75/49*T^13 + 87/49*T^12 + 101/49*T^11 + 128/49*T^10 + 
        22/7*T^9 + 148/49*T^8 + 157/49*T^7 + 162/49*T^6 + 164/49*T^5 + 138/49*T^4 + 
        17/7*T^3 + 121/49*T^2 + 13/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + X*Y^4 + 5*X*Y^3 + 
        6*X*Y^2 + 5*X*Y + 2*X + 4*Y^18 + 2*Y^17 + 5*Y^16 + Y^15 + 6*Y^14 + Y^13 + 
        6*Y^12 + 2*Y^11 + Y^10 + 6*Y^9 + Y^8 + 6*Y^7 + 5*Y^6 + Y^5 + 3*Y^4 + Y^3 + 
        3*Y^2 + 2*Y,
    -T^32 - 9/7*T^31 + 12/49*T^30 + 72/49*T^29 + 33/49*T^28 - 25/49*T^27 - 
        24/49*T^26 - 30/49*T^25 - 6/7*T^24 - 5/49*T^23 + 88/49*T^22 + 111/49*T^21 + 
        47/49*T^20 - 44/49*T^19 - 80/49*T^18 - 58/49*T^17 + 58/49*T^15 + 80/49*T^14 
        + 44/49*T^13 - 47/49*T^12 - 111/49*T^11 - 88/49*T^10 + 5/49*T^9 + 6/7*T^8 + 
        30/49*T^7 + 24/49*T^6 + 25/49*T^5 - 33/49*T^4 - 72/49*T^3 - 12/49*T^2 + 
        9/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 
        5*X*Y + 4*X + Y^18 + 4*Y^17 + Y^16 + 3*Y^14 + 5*Y^13 + 2*Y^12 + 6*Y^11 + 
        3*Y^10 + 3*Y^9 + 6*Y^8 + 3*Y^7 + Y^5 + 2*Y^4 + 2*Y^3 + 5*Y^2 + 4*Y,
    T^32 - 13/7*T^31 + 74/49*T^30 - 26/49*T^29 - 24/49*T^28 + T^27 - 30/49*T^26 + 
        5/49*T^25 - 11/49*T^24 + 46/49*T^23 - 65/49*T^22 + 50/49*T^21 + 15/49*T^20 -
        55/49*T^19 + 29/49*T^18 - 2/49*T^17 - 1/49*T^16 - 2/49*T^15 + 29/49*T^14 - 
        55/49*T^13 + 15/49*T^12 + 50/49*T^11 - 65/49*T^10 + 46/49*T^9 - 11/49*T^8 + 
        5/49*T^7 - 30/49*T^6 + T^5 - 24/49*T^4 - 26/49*T^3 + 74/49*T^2 - 13/7*T + 1
*], [*
    X^3 + X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 6*X*Y + 
        6*X + 4*Y^18 + 2*Y^17 + 4*Y^16 + 2*Y^15 + 5*Y^13 + 4*Y^12 + 6*Y^10 + 4*Y^9 +
        3*Y^8 + 3*Y^7 + 3*Y^5 + Y^4 + 5*Y^3 + 4*Y^2 + 2*Y + 5,
    -T^32 - 9/7*T^31 - 5/49*T^30 + 11/49*T^29 - 19/49*T^28 + 18/49*T^27 + 68/49*T^26
        + 51/49*T^25 + 17/49*T^24 + 33/49*T^23 + 27/49*T^22 - 46/49*T^21 - 9/7*T^20 
        - 4/7*T^19 - 33/49*T^18 - 6/7*T^17 + 6/7*T^15 + 33/49*T^14 + 4/7*T^13 + 
        9/7*T^12 + 46/49*T^11 - 27/49*T^10 - 33/49*T^9 - 17/49*T^8 - 51/49*T^7 - 
        68/49*T^6 - 18/49*T^5 + 19/49*T^4 - 11/49*T^3 + 5/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + X*Y^7 + 5*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 
        3*X*Y^2 + 3*X*Y + 3*X + 5*Y^18 + 4*Y^17 + 4*Y^16 + Y^15 + 5*Y^14 + 5*Y^13 + 
        Y^12 + 4*Y^10 + 3*Y^9 + 2*Y^8 + 3*Y^7 + 3*Y^6 + 2*Y^5 + 2*Y^3 + 2*Y^2 + 5*Y 
        + 2,
    -T^32 - 2/7*T^31 - 83/49*T^29 - T^28 - 50/49*T^27 - 9/7*T^26 - 6/7*T^25 - 
        13/7*T^24 - 58/49*T^23 - 39/49*T^22 - 67/49*T^21 - 31/49*T^20 - 40/49*T^19 -
        41/49*T^18 + 2/7*T^17 - 2/7*T^15 + 41/49*T^14 + 40/49*T^13 + 31/49*T^12 + 
        67/49*T^11 + 39/49*T^10 + 58/49*T^9 + 13/7*T^8 + 6/7*T^7 + 9/7*T^6 + 
        50/49*T^5 + T^4 + 83/49*T^3 + 2/7*T + 1
*], [*
    X^3 + X*Y^8 + 5*X*Y^7 + 6*X*Y^5 + 2*X*Y^3 + 5*X*Y^2 + 2*X*Y + 6*X + Y^18 + 
        4*Y^17 + 5*Y^16 + 2*Y^15 + 4*Y^13 + 5*Y^10 + 6*Y^9 + 6*Y^8 + 6*Y^7 + 4*Y^6 +
        6*Y^5 + Y^4 + 2*Y^3 + 2*Y^2 + 6*Y + 5,
    T^32 + 2/7*T^31 - 41/49*T^30 - 39/49*T^29 - 2/7*T^28 - 38/49*T^27 + 54/49*T^26 +
        100/49*T^25 + 25/49*T^24 - 65/49*T^23 - 46/49*T^22 - 5/7*T^21 - 2/7*T^20 + 
        39/49*T^19 + 53/49*T^18 - 12/49*T^17 - 60/49*T^16 - 12/49*T^15 + 53/49*T^14 
        + 39/49*T^13 - 2/7*T^12 - 5/7*T^11 - 46/49*T^10 - 65/49*T^9 + 25/49*T^8 + 
        100/49*T^7 + 54/49*T^6 - 38/49*T^5 - 2/7*T^4 - 39/49*T^3 - 41/49*T^2 + 2/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 
        + 3*X*Y + 5*X + 4*Y^18 + 4*Y^16 + Y^15 + 6*Y^14 + 2*Y^13 + 5*Y^11 + 4*Y^10 +
        5*Y^9 + 3*Y^8 + 4*Y^7 + 6*Y^6 + Y^5 + 5*Y^4 + 2*Y^3 + 5*Y^2 + 3*Y + 3,
    -T^32 - 10/7*T^31 - 31/49*T^30 - 26/49*T^29 - 50/49*T^28 - 44/49*T^27 - 3/7*T^26
        - 11/49*T^25 - 33/49*T^24 - T^23 - 38/49*T^22 - 31/49*T^21 - 47/49*T^20 - 
        47/49*T^19 - 27/49*T^18 - 18/49*T^17 + 18/49*T^15 + 27/49*T^14 + 47/49*T^13 
        + 47/49*T^12 + 31/49*T^11 + 38/49*T^10 + T^9 + 33/49*T^8 + 11/49*T^7 + 
        3/7*T^6 + 44/49*T^5 + 50/49*T^4 + 26/49*T^3 + 31/49*T^2 + 10/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 2*X*Y^5 + 5*X*Y^4 + 3*X*Y^2 + 5*X + 6*Y^18 + 5*Y^17 + 
        6*Y^16 + 5*Y^14 + 6*Y^13 + 6*Y^12 + 4*Y^11 + 4*Y^10 + 3*Y^9 + 4*Y^7 + 4*Y^5 
        + 2*Y^4 + 5*Y^3 + 4*Y^2 + 3*Y,
    -T^32 + 4/7*T^31 + 27/49*T^30 - 26/49*T^29 + 58/49*T^28 + 12/49*T^27 - 
        66/49*T^26 + 25/49*T^25 - 23/49*T^24 - 25/49*T^23 + 33/49*T^22 + 3/49*T^21 +
        2/7*T^20 + 2/7*T^19 - 23/49*T^18 + 2/49*T^17 - 2/49*T^15 + 23/49*T^14 - 
        2/7*T^13 - 2/7*T^12 - 3/49*T^11 - 33/49*T^10 + 25/49*T^9 + 23/49*T^8 - 
        25/49*T^7 + 66/49*T^6 - 12/49*T^5 - 58/49*T^4 + 26/49*T^3 - 27/49*T^2 - 
        4/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + X*Y^7 + 6*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 3*X*Y + X 
        + 2*Y^18 + 6*Y^17 + 4*Y^16 + Y^15 + 2*Y^14 + 2*Y^13 + 6*Y^12 + 2*Y^11 + 
        2*Y^9 + 6*Y^8 + 4*Y^7 + 5*Y^5 + 5*Y^4 + 6*Y^3 + 6*Y^2 + 5*Y + 1,
    -T^32 + 4/7*T^31 - 1/49*T^30 - 15/49*T^29 + 8/7*T^28 - 6/49*T^27 - 13/49*T^26 + 
        4/49*T^25 - 36/49*T^24 + 1/49*T^23 + 9/49*T^22 - 2/7*T^21 + 24/49*T^20 + 
        23/49*T^19 - 15/49*T^18 + 23/49*T^17 - 23/49*T^15 + 15/49*T^14 - 23/49*T^13 
        - 24/49*T^12 + 2/7*T^11 - 9/49*T^10 - 1/49*T^9 + 36/49*T^8 - 4/49*T^7 + 
        13/49*T^6 + 6/49*T^5 - 8/7*T^4 + 15/49*T^3 + 1/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^7 + X*Y^6 + 6*X*Y^5 + X*Y^4 + 5*X*Y^2 + 2*X*Y + 5*X + 
        4*Y^18 + Y^17 + 3*Y^16 + 4*Y^14 + 3*Y^12 + 5*Y^11 + 6*Y^10 + Y^9 + 5*Y^8 + 
        2*Y^7 + Y^6 + 2*Y^5 + 2*Y^4 + 6*Y^3 + 3*Y + 3,
    T^32 + 9/7*T^31 + 62/49*T^30 + 60/49*T^29 + 38/49*T^28 + 5/7*T^27 - 1/49*T^26 + 
        12/49*T^25 + 4/7*T^24 + 2/49*T^23 + 13/49*T^22 + 11/49*T^21 + 24/49*T^20 - 
        1/49*T^19 - 40/49*T^18 - 52/49*T^17 - 11/7*T^16 - 52/49*T^15 - 40/49*T^14 - 
        1/49*T^13 + 24/49*T^12 + 11/49*T^11 + 13/49*T^10 + 2/49*T^9 + 4/7*T^8 + 
        12/49*T^7 - 1/49*T^6 + 5/7*T^5 + 38/49*T^4 + 60/49*T^3 + 62/49*T^2 + 9/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + X*Y^4 + 6*X*Y^3 + 
        6*X*Y^2 + 5*X*Y + 6*X + 2*Y^18 + 6*Y^17 + 6*Y^16 + 2*Y^15 + 3*Y^14 + 4*Y^13 
        + 6*Y^12 + 3*Y^11 + 5*Y^10 + Y^8 + 2*Y^7 + 6*Y^6 + 2*Y^5 + Y^4 + Y^3 + 2*Y +
        4,
    -T^32 + 1/7*T^31 + 12/7*T^30 - 17/49*T^29 - 72/49*T^28 + 15/49*T^27 + T^26 - 
        17/49*T^25 - 45/49*T^24 + 5/7*T^23 + 54/49*T^22 - 55/49*T^21 - 27/49*T^20 + 
        64/49*T^19 - 64/49*T^17 + 64/49*T^15 - 64/49*T^13 + 27/49*T^12 + 55/49*T^11 
        - 54/49*T^10 - 5/7*T^9 + 45/49*T^8 + 17/49*T^7 - T^6 - 15/49*T^5 + 72/49*T^4
        + 17/49*T^3 - 12/7*T^2 - 1/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + X*Y^5 + 3*X*Y^4 + X*Y^3 + 4*X*Y + 
        2*X + 6*Y^18 + 2*Y^17 + 2*Y^16 + 5*Y^15 + 4*Y^14 + Y^13 + 2*Y^12 + 5*Y^11 + 
        2*Y^9 + 2*Y^8 + Y^7 + 4*Y^4 + Y^3 + 3*Y^2 + 4*Y + 4,
    -T^32 - 8/7*T^31 - 2/7*T^30 - 47/49*T^29 - 89/49*T^28 - 9/7*T^27 - 36/49*T^26 - 
        10/7*T^25 - 76/49*T^24 - 51/49*T^23 - 48/49*T^22 - 55/49*T^21 - 40/49*T^20 -
        5/49*T^19 - 8/49*T^18 - 15/49*T^17 + 15/49*T^15 + 8/49*T^14 + 5/49*T^13 + 
        40/49*T^12 + 55/49*T^11 + 48/49*T^10 + 51/49*T^9 + 76/49*T^8 + 10/7*T^7 + 
        36/49*T^6 + 9/7*T^5 + 89/49*T^4 + 47/49*T^3 + 2/7*T^2 + 8/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + X*Y^7 + X*Y^6 + X*Y^5 + X*Y^3 + 4*X*Y^2 + 4*X*Y + X + 
        4*Y^18 + 6*Y^17 + 2*Y^14 + 6*Y^13 + Y^12 + 3*Y^11 + 5*Y^9 + Y^7 + 3*Y^6 + 
        Y^5 + 4*Y^4 + 4*Y^3 + 4*Y^2 + 4*Y + 1,
    T^32 + 9/7*T^31 + 43/49*T^30 + 2/7*T^29 + 6/49*T^28 + 52/49*T^27 + 58/49*T^26 + 
        18/49*T^25 - 20/49*T^24 - 5/49*T^23 + 37/49*T^22 + 8/7*T^21 + 17/49*T^20 - 
        17/49*T^19 + 1/49*T^18 + 44/49*T^17 + 68/49*T^16 + 44/49*T^15 + 1/49*T^14 - 
        17/49*T^13 + 17/49*T^12 + 8/7*T^11 + 37/49*T^10 - 5/49*T^9 - 20/49*T^8 + 
        18/49*T^7 + 58/49*T^6 + 52/49*T^5 + 6/49*T^4 + 2/7*T^3 + 43/49*T^2 + 9/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 2*X*Y 
        + 6*X + 3*Y^18 + 6*Y^17 + 3*Y^16 + 3*Y^15 + 2*Y^14 + Y^13 + 4*Y^12 + 5*Y^11 
        + 3*Y^10 + Y^9 + 2*Y^8 + 6*Y^7 + Y^6 + 3*Y^5 + 6*Y^4 + 4*Y^3 + 2*Y^2 + Y + 
        1,
    T^32 - 1/7*T^31 + 72/49*T^30 - 48/49*T^29 + 5/7*T^28 - 92/49*T^27 + 34/49*T^26 -
        74/49*T^25 + 69/49*T^24 - 8/7*T^23 + 45/49*T^22 - 53/49*T^21 + 20/49*T^20 - 
        34/49*T^19 + 34/49*T^18 - 16/49*T^17 + 45/49*T^16 - 16/49*T^15 + 34/49*T^14 
        - 34/49*T^13 + 20/49*T^12 - 53/49*T^11 + 45/49*T^10 - 8/7*T^9 + 69/49*T^8 - 
        74/49*T^7 + 34/49*T^6 - 92/49*T^5 + 5/7*T^4 - 48/49*T^3 + 72/49*T^2 - 1/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + 4*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        2*X*Y^2 + 6*X*Y + 5*X + 2*Y^18 + 5*Y^17 + 4*Y^16 + 3*Y^15 + 2*Y^14 + Y^12 + 
        5*Y^11 + 4*Y^10 + 2*Y^9 + 4*Y^8 + Y^6 + Y^5 + 3*Y^4 + Y^3 + 4*Y^2 + 5*Y + 4,
    T^32 + 1/7*T^31 - 54/49*T^30 - 39/49*T^29 + 16/49*T^28 + 13/49*T^27 + 31/49*T^26
        + 48/49*T^25 - 25/49*T^24 - 82/49*T^23 - 9/49*T^22 + 43/49*T^21 + 10/49*T^20
        - 2/49*T^19 + 33/49*T^18 - 62/49*T^16 + 33/49*T^14 - 2/49*T^13 + 10/49*T^12 
        + 43/49*T^11 - 9/49*T^10 - 82/49*T^9 - 25/49*T^8 + 48/49*T^7 + 31/49*T^6 + 
        13/49*T^5 + 16/49*T^4 - 39/49*T^3 - 54/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 4*X*Y^2 + 
        4*X*Y + 4*X + 4*Y^18 + 2*Y^17 + 5*Y^16 + 6*Y^15 + 5*Y^13 + 3*Y^12 + Y^11 + 
        2*Y^10 + 5*Y^9 + 3*Y^8 + 2*Y^7 + 4*Y^6 + 4*Y^5 + 4*Y^4 + 6*Y^3 + 3*Y^2 + 3,
    T^32 - 58/49*T^30 - 50/49*T^29 - 24/49*T^28 + 13/7*T^27 + T^26 - 34/49*T^25 - 
        50/49*T^24 - 18/49*T^23 + 79/49*T^22 + 58/49*T^21 - 57/49*T^20 - 71/49*T^19 
        - 40/49*T^18 + 25/49*T^17 + 106/49*T^16 + 25/49*T^15 - 40/49*T^14 - 
        71/49*T^13 - 57/49*T^12 + 58/49*T^11 + 79/49*T^10 - 18/49*T^9 - 50/49*T^8 - 
        34/49*T^7 + T^6 + 13/7*T^5 - 24/49*T^4 - 50/49*T^3 - 58/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^7 + 2*X*Y^6 + 3*X*Y^4 + 2*X*Y + 2*X + Y^18 + 2*Y^17 + 
        2*Y^16 + 5*Y^15 + 4*Y^14 + 5*Y^13 + 3*Y^12 + 2*Y^11 + 3*Y^8 + 6*Y^7 + 4*Y^6 
        + 3*Y^5 + 3*Y^4 + 6*Y^3 + 4*Y^2 + 4*Y + 3,
    T^32 - T^31 + 50/49*T^30 - 48/49*T^29 + 44/49*T^28 - 26/49*T^27 + 24/49*T^26 - 
        9/49*T^25 - 5/49*T^24 + 29/49*T^23 - 29/49*T^22 + 20/49*T^21 - 47/49*T^20 + 
        33/49*T^19 - 25/49*T^18 + 23/49*T^17 - 32/49*T^16 + 23/49*T^15 - 25/49*T^14 
        + 33/49*T^13 - 47/49*T^12 + 20/49*T^11 - 29/49*T^10 + 29/49*T^9 - 5/49*T^8 -
        9/49*T^7 + 24/49*T^6 - 26/49*T^5 + 44/49*T^4 - 48/49*T^3 + 50/49*T^2 - T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 
        + 3*X + 2*Y^18 + 4*Y^17 + 5*Y^16 + Y^14 + 6*Y^13 + Y^12 + 4*Y^10 + Y^9 + 
        2*Y^8 + 3*Y^7 + 3*Y^6 + 5*Y^5 + 5*Y^4 + 5*Y^3 + 6*Y^2 + Y,
    T^32 + 2/7*T^31 + 37/49*T^30 - 23/49*T^29 - 29/49*T^28 - 9/49*T^27 - 22/49*T^26 
        + 24/49*T^25 - 34/49*T^24 - 6/49*T^23 - 5/7*T^22 - 10/49*T^21 + 2/49*T^20 - 
        4/49*T^19 + 24/49*T^18 + 11/49*T^17 + 26/49*T^16 + 11/49*T^15 + 24/49*T^14 -
        4/49*T^13 + 2/49*T^12 - 10/49*T^11 - 5/7*T^10 - 6/49*T^9 - 34/49*T^8 + 
        24/49*T^7 - 22/49*T^6 - 9/49*T^5 - 29/49*T^4 - 23/49*T^3 + 37/49*T^2 + 2/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 3*X*Y^2 + 4*X*Y + 6*X + 5*Y^18 + 
        2*Y^17 + 5*Y^16 + 5*Y^15 + 3*Y^14 + 3*Y^13 + 2*Y^12 + 3*Y^11 + 3*Y^10 + 
        5*Y^9 + 3*Y^8 + 3*Y^7 + 4*Y^6 + Y^5 + 6*Y^4 + 2*Y^3 + 2*Y + 5,
    -T^32 - 3/7*T^31 + 88/49*T^30 + 2/7*T^29 - 146/49*T^28 - 16/49*T^27 + 25/7*T^26 
        + 15/49*T^25 - 177/49*T^24 - 15/49*T^23 + 167/49*T^22 + 33/49*T^21 - 
        103/49*T^20 - T^19 + 54/49*T^18 + 69/49*T^17 - 69/49*T^15 - 54/49*T^14 + 
        T^13 + 103/49*T^12 - 33/49*T^11 - 167/49*T^10 + 15/49*T^9 + 177/49*T^8 - 
        15/49*T^7 - 25/7*T^6 + 16/49*T^5 + 146/49*T^4 - 2/7*T^3 - 88/49*T^2 + 3/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 2*X*Y^2 + 3*X*Y 
        + X + 6*Y^18 + 2*Y^17 + 3*Y^16 + 3*Y^15 + Y^14 + 5*Y^13 + 4*Y^12 + 6*Y^11 + 
        6*Y^10 + 6*Y^9 + 2*Y^8 + 5*Y^7 + 4*Y^6 + 6*Y^5 + 6*Y^3 + Y^2 + 2*Y + 3,
    T^32 + 4/7*T^31 - 1/7*T^30 + 55/49*T^29 - 6/49*T^28 - 5/7*T^27 + 22/49*T^26 - 
        40/49*T^25 - 33/49*T^24 + 2/49*T^23 - 53/49*T^22 - 11/49*T^21 + 16/49*T^20 -
        38/49*T^19 + 29/49*T^18 + 54/49*T^17 + 54/49*T^15 + 29/49*T^14 - 38/49*T^13 
        + 16/49*T^12 - 11/49*T^11 - 53/49*T^10 + 2/49*T^9 - 33/49*T^8 - 40/49*T^7 + 
        22/49*T^6 - 5/7*T^5 - 6/49*T^4 + 55/49*T^3 - 1/7*T^2 + 4/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 3*X*Y^3 + X + 2*Y^18 + 
        3*Y^17 + 6*Y^16 + 6*Y^15 + 2*Y^12 + 5*Y^11 + 5*Y^9 + 5*Y^8 + Y^7 + 5*Y^6 + 
        6*Y^5 + 5*Y^3 + Y^2 + 5*Y,
    T^32 + 2*T^31 + 48/49*T^30 - 51/49*T^29 - 11/7*T^28 - 46/49*T^27 - 10/49*T^26 + 
        34/49*T^25 + 74/49*T^24 + 82/49*T^23 + 36/49*T^22 - 32/49*T^21 - 52/49*T^20 
        - 23/49*T^19 + 4/49*T^18 + 37/49*T^17 + 58/49*T^16 + 37/49*T^15 + 4/49*T^14 
        - 23/49*T^13 - 52/49*T^12 - 32/49*T^11 + 36/49*T^10 + 82/49*T^9 + 74/49*T^8 
        + 34/49*T^7 - 10/49*T^6 - 46/49*T^5 - 11/7*T^4 - 51/49*T^3 + 48/49*T^2 + 2*T
        + 1
*], [*
    X^3 + X*Y^9 + 5*X*Y^8 + X*Y^7 + 3*X*Y^5 + X*Y^4 + 6*X*Y^3 + 5*X*Y^2 + X*Y + Y^18
        + 3*Y^17 + 4*Y^16 + Y^15 + 3*Y^14 + 4*Y^13 + 4*Y^12 + 5*Y^11 + Y^10 + 5*Y^9 
        + 5*Y^8 + 6*Y^7 + 4*Y^6 + 2*Y^5 + 3*Y^4 + 5*Y^3 + Y^2 + 5*Y + 6,
    -T^32 - 4/7*T^31 + 12/49*T^30 + 6/49*T^29 + 47/49*T^28 + 15/49*T^27 - 1/49*T^26 
        + 25/49*T^25 - 4/49*T^24 + 3/49*T^23 + 13/49*T^22 - 26/49*T^21 - 23/49*T^20 
        - 16/49*T^19 - 5/7*T^18 + 1/7*T^17 - 1/7*T^15 + 5/7*T^14 + 16/49*T^13 + 
        23/49*T^12 + 26/49*T^11 - 13/49*T^10 - 3/49*T^9 + 4/49*T^8 - 25/49*T^7 + 
        1/49*T^6 - 15/49*T^5 - 47/49*T^4 - 6/49*T^3 - 12/49*T^2 + 4/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 
        5*X*Y^2 + 4*X*Y + 5*X + 3*Y^18 + Y^17 + 3*Y^16 + 5*Y^14 + 2*Y^13 + Y^12 + 
        6*Y^10 + Y^9 + 4*Y^8 + 4*Y^7 + Y^6 + Y^5 + 3*Y^4 + Y^3 + 5*Y^2 + 6*Y + 5,
    T^32 + 1/7*T^31 + 5/49*T^30 + 2/49*T^29 - 18/49*T^28 - 15/49*T^27 - 13/49*T^26 +
        12/49*T^25 - 1/49*T^24 - 1/7*T^23 + 9/49*T^22 + 1/49*T^21 - 9/49*T^20 + 
        1/7*T^19 - 8/49*T^18 - 1/7*T^17 - 12/49*T^16 - 1/7*T^15 - 8/49*T^14 + 
        1/7*T^13 - 9/49*T^12 + 1/49*T^11 + 9/49*T^10 - 1/7*T^9 - 1/49*T^8 + 
        12/49*T^7 - 13/49*T^6 - 15/49*T^5 - 18/49*T^4 + 2/49*T^3 + 5/49*T^2 + 1/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + X*Y^7 + 5*X*Y^5 + 5*X*Y^4 + 6*X*Y^3 + X*Y^2 + 6*X*Y + 3*X 
        + 4*Y^18 + 6*Y^17 + 5*Y^15 + 5*Y^14 + 6*Y^13 + 4*Y^12 + 6*Y^11 + 5*Y^9 + 
        5*Y^8 + Y^7 + 2*Y^6 + 5*Y^5 + 2*Y^4 + 4*Y^3 + 3*Y^2 + Y + 3,
    T^32 + 10/7*T^31 - 2/49*T^30 - 61/49*T^29 - 73/49*T^28 - 89/49*T^27 - 41/49*T^26
        + 73/49*T^25 + 12/7*T^24 + 31/49*T^23 + 2/7*T^22 - 5/49*T^21 - 6/7*T^20 - 
        29/49*T^19 + 9/49*T^18 + 11/49*T^17 + 6/49*T^16 + 11/49*T^15 + 9/49*T^14 - 
        29/49*T^13 - 6/7*T^12 - 5/49*T^11 + 2/7*T^10 + 31/49*T^9 + 12/7*T^8 + 
        73/49*T^7 - 41/49*T^6 - 89/49*T^5 - 73/49*T^4 - 61/49*T^3 - 2/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 5*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + X*Y^2 + 5*X*Y + 5*X + 
        Y^18 + 3*Y^17 + 4*Y^15 + 2*Y^12 + Y^10 + 3*Y^9 + 4*Y^8 + 2*Y^7 + 6*Y^6 + 
        4*Y^5 + Y^4 + 2*Y^3 + 5*Y^2 + 4*Y + 2,
    T^32 - 10/7*T^31 + 3/49*T^30 + 27/49*T^29 - 5/49*T^28 + 18/49*T^27 - 24/49*T^26 
        - 22/49*T^25 + 22/49*T^24 + 19/49*T^23 - 30/49*T^22 + 13/49*T^21 - 1/49*T^20
        - 11/49*T^19 + 9/49*T^18 + 11/49*T^17 - 12/49*T^16 + 11/49*T^15 + 9/49*T^14 
        - 11/49*T^13 - 1/49*T^12 + 13/49*T^11 - 30/49*T^10 + 19/49*T^9 + 22/49*T^8 -
        22/49*T^7 - 24/49*T^6 + 18/49*T^5 - 5/49*T^4 + 27/49*T^3 + 3/49*T^2 - 10/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 2*X*Y^5 + X*Y^4 + 6*X*Y^2 + 5*Y^18 + 6*Y^17 
        + 3*Y^16 + Y^15 + 6*Y^14 + 4*Y^12 + 2*Y^11 + 2*Y^10 + 2*Y^9 + 2*Y^8 + 3*Y^7 
        + 6*Y^6 + 5*Y^5 + Y^4 + 3*Y^3 + Y^2 + 2*Y + 5,
    T^32 - 2/7*T^31 - 15/49*T^30 + 27/49*T^29 - 6/49*T^28 - 16/49*T^27 + 50/49*T^26 
        + 1/7*T^25 - 8/49*T^24 + 13/49*T^23 + 4/49*T^22 - 18/49*T^21 + 5/7*T^20 - 
        1/49*T^19 + 6/49*T^18 + 2/49*T^17 - 5/49*T^16 + 2/49*T^15 + 6/49*T^14 - 
        1/49*T^13 + 5/7*T^12 - 18/49*T^11 + 4/49*T^10 + 13/49*T^9 - 8/49*T^8 + 
        1/7*T^7 + 50/49*T^6 - 16/49*T^5 - 6/49*T^4 + 27/49*T^3 - 15/49*T^2 - 2/7*T +
        1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + X*Y^6 + 6*X*Y^5 + 5*X*Y^3 + 2*X*Y^2 + X + 
        Y^18 + Y^17 + 6*Y^16 + 3*Y^15 + 2*Y^14 + 6*Y^13 + 2*Y^12 + 5*Y^11 + 5*Y^10 +
        Y^9 + 2*Y^8 + 5*Y^7 + Y^6 + Y^5 + 6*Y^4 + 6*Y^3 + 4*Y^2 + 5*Y,
    T^32 - 2/7*T^31 - 15/49*T^30 - 16/49*T^29 - 8/49*T^28 - 2/7*T^26 + 5/49*T^25 + 
        12/49*T^24 + 1/49*T^23 + 10/49*T^22 - 6/49*T^21 - 23/49*T^20 - 4/49*T^19 + 
        20/49*T^18 + 9/49*T^17 - 12/49*T^16 + 9/49*T^15 + 20/49*T^14 - 4/49*T^13 - 
        23/49*T^12 - 6/49*T^11 + 10/49*T^10 + 1/49*T^9 + 12/49*T^8 + 5/49*T^7 - 
        2/7*T^6 - 8/49*T^4 - 16/49*T^3 - 15/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^7 + 3*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 4*X*Y^2 + 6*X*Y + 6*X + 
        2*Y^18 + 4*Y^17 + 5*Y^14 + 2*Y^13 + 5*Y^11 + 3*Y^10 + 6*Y^9 + 4*Y^8 + 3*Y^7 
        + Y^6 + 3*Y^5 + 3*Y^4 + Y^3 + 5*Y,
    -T^32 + 3/7*T^31 + 47/49*T^30 + 6/7*T^29 + 33/49*T^28 - 117/49*T^27 - 79/49*T^26
        - 23/49*T^25 + 13/7*T^24 + 143/49*T^23 + 1/7*T^22 - 11/7*T^21 - 19/7*T^20 - 
        8/49*T^19 + 76/49*T^18 + 103/49*T^17 - 103/49*T^15 - 76/49*T^14 + 8/49*T^13 
        + 19/7*T^12 + 11/7*T^11 - 1/7*T^10 - 143/49*T^9 - 13/7*T^8 + 23/49*T^7 + 
        79/49*T^6 + 117/49*T^5 - 33/49*T^4 - 6/7*T^3 - 47/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 2*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 4*X*Y^2 + 
        6*X*Y + 5*X + 6*Y^18 + 2*Y^17 + 5*Y^16 + 6*Y^15 + Y^14 + 2*Y^13 + 6*Y^12 + 
        Y^11 + 6*Y^10 + 3*Y^9 + Y^8 + 3*Y^7 + 6*Y^6 + 2*Y^5 + 3*Y^4 + 2*Y^3 + 5*Y + 
        1,
    -T^32 + 1/7*T^31 - 1/49*T^30 - 23/49*T^29 + 13/49*T^27 + 6/49*T^26 - 15/49*T^25 
        + 15/49*T^24 + 22/49*T^23 + 27/49*T^22 + 29/49*T^21 - 8/49*T^20 + 36/49*T^19
        + 1/7*T^18 - 20/49*T^17 + 20/49*T^15 - 1/7*T^14 - 36/49*T^13 + 8/49*T^12 - 
        29/49*T^11 - 27/49*T^10 - 22/49*T^9 - 15/49*T^8 + 15/49*T^7 - 6/49*T^6 - 
        13/49*T^5 + 23/49*T^3 + 1/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + X*Y^6 + X*Y^5 + 4*X*Y^4 + X*Y^3 + 2*X*Y^2 + 
        X*Y + 4*X + Y^18 + 3*Y^17 + 3*Y^16 + 6*Y^14 + 6*Y^13 + Y^12 + Y^11 + 5*Y^10 
        + Y^9 + 2*Y^8 + Y^7 + 3*Y^6 + 6*Y^4 + 6*Y^3 + 2*Y^2 + 6*Y + 6,
    T^32 - 5/7*T^31 + 13/49*T^30 - 8/49*T^29 - 5/49*T^28 - 13/49*T^27 + 6/49*T^26 + 
        15/49*T^25 + 3/49*T^24 + 37/49*T^23 - 1/49*T^22 - 19/49*T^21 + 2/49*T^19 - 
        5/49*T^18 + 3/7*T^17 + 1/49*T^16 + 3/7*T^15 - 5/49*T^14 + 2/49*T^13 - 
        19/49*T^11 - 1/49*T^10 + 37/49*T^9 + 3/49*T^8 + 15/49*T^7 + 6/49*T^6 - 
        13/49*T^5 - 5/49*T^4 - 8/49*T^3 + 13/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 6*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 
        2*X*Y^2 + 4*X*Y + X + 6*Y^18 + 6*Y^17 + Y^15 + 4*Y^14 + 6*Y^12 + 3*Y^11 + 
        Y^10 + 2*Y^9 + Y^7 + Y^5 + Y^4 + 6*Y^3 + 5*Y^2 + Y,
    T^32 + 3/7*T^31 + 5/7*T^30 + 2/49*T^29 + 12/49*T^28 - 18/49*T^27 - 5/49*T^26 - 
        T^25 - 32/49*T^24 - 38/49*T^23 - 20/49*T^22 + 3/49*T^21 - 19/49*T^20 + 
        27/49*T^19 - 8/49*T^18 + 37/49*T^17 + 10/49*T^16 + 37/49*T^15 - 8/49*T^14 + 
        27/49*T^13 - 19/49*T^12 + 3/49*T^11 - 20/49*T^10 - 38/49*T^9 - 32/49*T^8 - 
        T^7 - 5/49*T^6 - 18/49*T^5 + 12/49*T^4 + 2/49*T^3 + 5/7*T^2 + 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 3*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 3*X*Y + 5*X + 
        6*Y^18 + Y^16 + Y^15 + 2*Y^14 + Y^13 + 3*Y^12 + 5*Y^11 + Y^10 + 5*Y^9 + 
        2*Y^8 + 4*Y^7 + 3*Y^6 + 5*Y^5 + 6*Y^4 + 3*Y^2 + 6*Y + 6,
    -T^32 - 3/7*T^31 + 48/49*T^30 + 19/49*T^29 - 3/49*T^28 + 48/49*T^27 - 11/49*T^26
        - 78/49*T^25 + 13/49*T^24 + 5/49*T^23 - 9/7*T^22 + 12/49*T^21 + 50/49*T^20 +
        1/7*T^18 + 47/49*T^17 - 47/49*T^15 - 1/7*T^14 - 50/49*T^12 - 12/49*T^11 + 
        9/7*T^10 - 5/49*T^9 - 13/49*T^8 + 78/49*T^7 + 11/49*T^6 - 48/49*T^5 + 
        3/49*T^4 - 19/49*T^3 - 48/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + X*Y^5 + X*Y^4 + 6*X*Y^2 + 6*X*Y + 2*X + 2*Y^18
        + 4*Y^17 + 5*Y^16 + 4*Y^15 + 4*Y^13 + Y^12 + Y^11 + 2*Y^10 + 6*Y^9 + Y^8 + 
        Y^7 + 3*Y^6 + 6*Y^4 + 2*Y^3 + 6*Y^2 + 6*Y,
    -T^32 - 2/7*T^31 + 43/49*T^30 - 4/7*T^29 - 39/49*T^28 + 9/49*T^27 + 16/49*T^26 +
        3/49*T^25 - 38/49*T^24 - 15/49*T^23 + 22/49*T^22 - 5/7*T^21 - 15/49*T^20 + 
        36/49*T^19 - 16/49*T^18 - 17/49*T^17 + 17/49*T^15 + 16/49*T^14 - 36/49*T^13 
        + 15/49*T^12 + 5/7*T^11 - 22/49*T^10 + 15/49*T^9 + 38/49*T^8 - 3/49*T^7 - 
        16/49*T^6 - 9/49*T^5 + 39/49*T^4 + 4/7*T^3 - 43/49*T^2 + 2/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 2*X*Y^6 + X*Y^5 + 3*X*Y^4 + 4*X*Y + 6*X + Y^18 + Y^17 + 
        2*Y^16 + 5*Y^15 + 2*Y^14 + 6*Y^13 + 6*Y^12 + 4*Y^10 + 5*Y^9 + 2*Y^8 + Y^7 + 
        4*Y^6 + 5*Y^5 + 6*Y^3 + 6*Y^2 + Y + 6,
    T^32 + 5/7*T^31 - 40/49*T^30 - 79/49*T^29 - 23/49*T^28 + 73/49*T^27 + 85/49*T^26
        + 5/49*T^25 - 58/49*T^24 - 51/49*T^23 - 38/49*T^22 - 23/49*T^21 + 41/49*T^20
        + 108/49*T^19 + 79/49*T^18 - 61/49*T^17 - 20/7*T^16 - 61/49*T^15 + 
        79/49*T^14 + 108/49*T^13 + 41/49*T^12 - 23/49*T^11 - 38/49*T^10 - 51/49*T^9 
        - 58/49*T^8 + 5/49*T^7 + 85/49*T^6 + 73/49*T^5 - 23/49*T^4 - 79/49*T^3 - 
        40/49*T^2 + 5/7*T + 1
*], [*
    X^3 + X*Y^8 + 6*X*Y^7 + X*Y^6 + 6*X*Y^3 + 4*X*Y^2 + 4*X*Y + 2*Y^18 + Y^17 + 
        6*Y^15 + Y^14 + 4*Y^13 + 3*Y^12 + 2*Y^11 + 2*Y^10 + 2*Y^9 + 4*Y^8 + 5*Y^7 + 
        5*Y^6 + 6*Y^5 + 5*Y^4 + 3*Y^2 + 2*Y + 3,
    -T^32 + 3/7*T^31 - 24/49*T^30 - 1/7*T^29 - 2/7*T^28 + 37/49*T^27 - 68/49*T^26 + 
        T^25 - 31/49*T^24 + 41/49*T^23 - 26/49*T^22 + 36/49*T^21 - 12/49*T^20 + 
        31/49*T^19 - 24/49*T^18 + 34/49*T^17 - 34/49*T^15 + 24/49*T^14 - 31/49*T^13 
        + 12/49*T^12 - 36/49*T^11 + 26/49*T^10 - 41/49*T^9 + 31/49*T^8 - T^7 + 
        68/49*T^6 - 37/49*T^5 + 2/7*T^4 + 1/7*T^3 + 24/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 6*X*Y^7 + X*Y^6 + 5*X*Y^4 + 6*X*Y^3 + 2*X*Y + 4*X + 
        4*Y^18 + Y^16 + 3*Y^15 + Y^14 + 4*Y^13 + 2*Y^12 + 4*Y^11 + 4*Y^10 + 4*Y^9 + 
        6*Y^7 + Y^6 + 3*Y^5 + 6*Y^3 + 3*Y + 4,
    -T^32 - 5/7*T^31 - 8/49*T^30 + 19/49*T^29 + 53/49*T^28 + 2/7*T^27 - 6/49*T^26 - 
        1/49*T^25 - 13/49*T^24 - 20/49*T^23 - 4/49*T^22 - 5/49*T^21 + 2/7*T^20 + 
        40/49*T^19 + 32/49*T^18 + 5/7*T^17 - 5/7*T^15 - 32/49*T^14 - 40/49*T^13 - 
        2/7*T^12 + 5/49*T^11 + 4/49*T^10 + 20/49*T^9 + 13/49*T^8 + 1/49*T^7 + 
        6/49*T^6 - 2/7*T^5 - 53/49*T^4 - 19/49*T^3 + 8/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 
        X*Y^2 + 3*X*Y + 4*Y^18 + 6*Y^17 + 5*Y^16 + 2*Y^15 + 5*Y^14 + 2*Y^13 + 5*Y^12
        + 6*Y^11 + 6*Y^10 + 2*Y^9 + 3*Y^8 + 6*Y^7 + Y^5 + Y^4 + 4*Y^2 + 2*Y + 1,
    -T^32 + 1/7*T^31 + 46/49*T^30 - 27/49*T^29 - 1/7*T^28 - 27/49*T^27 + 23/49*T^26 
        + 22/49*T^25 - 22/49*T^24 + 41/49*T^23 - 24/49*T^22 - 15/49*T^21 + 
        23/49*T^20 + 22/49*T^19 + 23/49*T^18 - 54/49*T^17 + 54/49*T^15 - 23/49*T^14 
        - 22/49*T^13 - 23/49*T^12 + 15/49*T^11 + 24/49*T^10 - 41/49*T^9 + 22/49*T^8 
        - 22/49*T^7 - 23/49*T^6 + 27/49*T^5 + 1/7*T^4 + 27/49*T^3 - 46/49*T^2 - 
        1/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + X*Y^7 + 6*X*Y^6 + X*Y^4 + X*Y^3 + 4*X*Y^2 + 2*X*Y + 
        5*Y^18 + 6*Y^17 + 2*Y^15 + 3*Y^14 + 2*Y^12 + 3*Y^11 + 2*Y^10 + 3*Y^9 + 5*Y^8
        + 5*Y^7 + 4*Y^5 + 2*Y^4 + 3*Y^3 + 5*Y^2 + 3*Y + 3,
    -T^32 - 1/7*T^31 + 13/49*T^29 - 36/49*T^28 - 13/49*T^27 + 27/49*T^26 - 5/49*T^25
        + 13/49*T^24 - 1/49*T^23 + 29/49*T^22 - 6/49*T^21 + 8/49*T^20 + 25/49*T^19 +
        3/49*T^18 - 8/49*T^17 + 8/49*T^15 - 3/49*T^14 - 25/49*T^13 - 8/49*T^12 + 
        6/49*T^11 - 29/49*T^10 + 1/49*T^9 - 13/49*T^8 + 5/49*T^7 - 27/49*T^6 + 
        13/49*T^5 + 36/49*T^4 - 13/49*T^3 + 1/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + X*Y^8 + X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 5*X*Y + 
        X + 4*Y^18 + 5*Y^17 + 4*Y^16 + 6*Y^15 + 2*Y^14 + 4*Y^13 + Y^12 + 5*Y^11 + 
        4*Y^10 + 2*Y^9 + Y^8 + 2*Y^7 + 5*Y^6 + 5*Y^4 + 4*Y^3 + 5*Y^2 + Y,
    T^32 - 4/7*T^31 - 74/49*T^30 + 62/49*T^29 + 57/49*T^28 - 102/49*T^27 - 
        34/49*T^26 + 118/49*T^25 + 11/49*T^24 - 110/49*T^23 + 6/49*T^22 + 72/49*T^21
        - 44/49*T^19 + 10/49*T^18 + 20/49*T^17 - 25/49*T^16 + 20/49*T^15 + 
        10/49*T^14 - 44/49*T^13 + 72/49*T^11 + 6/49*T^10 - 110/49*T^9 + 11/49*T^8 + 
        118/49*T^7 - 34/49*T^6 - 102/49*T^5 + 57/49*T^4 + 62/49*T^3 - 74/49*T^2 - 
        4/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + X*Y + 
        6*X + 4*Y^18 + 6*Y^17 + 5*Y^16 + 5*Y^14 + 4*Y^13 + 5*Y^12 + 3*Y^11 + 2*Y^10 
        + 3*Y^8 + 4*Y^7 + Y^6 + 6*Y^5 + Y^4 + 6*Y^3 + 6*Y^2 + Y + 5,
    T^32 + 10/7*T^31 + 11/49*T^30 - 34/49*T^29 - 30/49*T^28 - 1/49*T^27 - 18/49*T^26
        - 2/7*T^25 + 20/49*T^24 + 5/49*T^23 - 17/49*T^22 - 45/49*T^21 - 30/49*T^20 +
        2/49*T^19 + 29/49*T^18 + 41/49*T^17 + 24/49*T^16 + 41/49*T^15 + 29/49*T^14 +
        2/49*T^13 - 30/49*T^12 - 45/49*T^11 - 17/49*T^10 + 5/49*T^9 + 20/49*T^8 - 
        2/7*T^7 - 18/49*T^6 - 1/49*T^5 - 30/49*T^4 - 34/49*T^3 + 11/49*T^2 + 10/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 2*X*Y 
        + 5*Y^18 + 3*Y^17 + 2*Y^14 + 2*Y^11 + 3*Y^10 + 3*Y^9 + 6*Y^8 + 4*Y^7 + 6*Y^6
        + Y^5 + 4*Y^4 + 6*Y^3 + Y^2 + 4*Y + 2,
    -T^32 - 10/7*T^31 - 3/7*T^30 + 44/49*T^29 + 59/49*T^28 - 27/49*T^26 - 32/49*T^25
        - 38/49*T^24 - 27/49*T^23 - 1/7*T^22 + 4/49*T^21 - 20/49*T^20 - 19/49*T^19 +
        45/49*T^18 + 10/7*T^17 - 10/7*T^15 - 45/49*T^14 + 19/49*T^13 + 20/49*T^12 - 
        4/49*T^11 + 1/7*T^10 + 27/49*T^9 + 38/49*T^8 + 32/49*T^7 + 27/49*T^6 - 
        59/49*T^4 - 44/49*T^3 + 3/7*T^2 + 10/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 2*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 
        3*X*Y^2 + 4*X*Y + 2*X + 6*Y^18 + 6*Y^17 + 3*Y^16 + 4*Y^15 + 5*Y^14 + 4*Y^12 
        + Y^11 + 4*Y^10 + 3*Y^7 + Y^6 + Y^4 + 6*Y^3 + 6*Y^2 + 2*Y + 1,
    T^32 + 6/7*T^31 - 76/49*T^30 - 74/49*T^29 + 47/49*T^28 + 40/49*T^27 - 19/49*T^26
        + 9/49*T^25 - 17/49*T^24 - 32/49*T^23 + 17/49*T^22 + 15/49*T^21 + 9/49*T^20 
        + 3/7*T^19 - 18/49*T^18 - 19/49*T^17 + 3/7*T^16 - 19/49*T^15 - 18/49*T^14 + 
        3/7*T^13 + 9/49*T^12 + 15/49*T^11 + 17/49*T^10 - 32/49*T^9 - 17/49*T^8 + 
        9/49*T^7 - 19/49*T^6 + 40/49*T^5 + 47/49*T^4 - 74/49*T^3 - 76/49*T^2 + 6/7*T
        + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 3*X*Y^6 + 2*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 3*X*Y + 2*X + 
        Y^18 + 6*Y^17 + 4*Y^15 + Y^14 + Y^13 + 2*Y^12 + 4*Y^11 + 6*Y^10 + 4*Y^9 + 
        6*Y^8 + 6*Y^7 + Y^6 + 6*Y^5 + 3*Y^4 + 5*Y^3 + Y^2 + Y + 3,
    T^32 - 2/7*T^31 - 36/49*T^30 + 3/49*T^29 + 18/49*T^28 + 24/49*T^27 - 20/49*T^26 
        - 37/49*T^25 + 8/49*T^24 + 57/49*T^23 - 5/49*T^22 - 36/49*T^21 - 32/49*T^20 
        + 3/7*T^19 + 51/49*T^18 - 18/49*T^17 - 57/49*T^16 - 18/49*T^15 + 51/49*T^14 
        + 3/7*T^13 - 32/49*T^12 - 36/49*T^11 - 5/49*T^10 + 57/49*T^9 + 8/49*T^8 - 
        37/49*T^7 - 20/49*T^6 + 24/49*T^5 + 18/49*T^4 + 3/49*T^3 - 36/49*T^2 - 2/7*T
        + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 3*X*Y^3 + X*Y^2 + X*Y + 
        5*X + 6*Y^18 + 2*Y^17 + 4*Y^16 + 4*Y^15 + 4*Y^14 + Y^13 + 2*Y^12 + Y^11 + 
        6*Y^9 + 5*Y^7 + 3*Y^6 + 6*Y^4 + 3*Y^3 + 6*Y^2 + 2*Y + 5,
    -T^32 + 1/7*T^31 + 72/49*T^30 + 15/49*T^29 - 29/49*T^28 - 60/49*T^27 + 
        68/49*T^26 + 58/49*T^25 - 15/7*T^24 - T^23 + 2/7*T^22 + 80/49*T^21 + 
        5/49*T^20 - 94/49*T^19 + 74/49*T^18 + 64/49*T^17 - 64/49*T^15 - 74/49*T^14 +
        94/49*T^13 - 5/49*T^12 - 80/49*T^11 - 2/7*T^10 + T^9 + 15/7*T^8 - 58/49*T^7 
        - 68/49*T^6 + 60/49*T^5 + 29/49*T^4 - 15/49*T^3 - 72/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + 4*X*Y^3 + 
        6*X*Y^2 + 5*X*Y + 3*Y^18 + 6*Y^17 + Y^16 + 6*Y^15 + Y^14 + 6*Y^13 + 5*Y^12 +
        Y^10 + Y^9 + Y^8 + 6*Y^7 + 6*Y^5 + 4*Y^4 + 5*Y^3 + 3*Y^2 + 5*Y + 5,
    T^32 - 15/7*T^31 + 110/49*T^30 - 72/49*T^29 + 38/49*T^28 - 2/49*T^27 - 
        23/49*T^26 + 31/49*T^25 - 76/49*T^24 + 111/49*T^23 - 83/49*T^22 + 34/49*T^21
        - 13/49*T^20 - 2/49*T^19 + 32/49*T^18 - 55/49*T^17 + 68/49*T^16 - 55/49*T^15
        + 32/49*T^14 - 2/49*T^13 - 13/49*T^12 + 34/49*T^11 - 83/49*T^10 + 111/49*T^9
        - 76/49*T^8 + 31/49*T^7 - 23/49*T^6 - 2/49*T^5 + 38/49*T^4 - 72/49*T^3 + 
        110/49*T^2 - 15/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + X*Y^6 + 6*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + 4*X*Y 
        + 6*X + 6*Y^18 + Y^17 + 6*Y^16 + 6*Y^15 + 4*Y^14 + 6*Y^12 + 6*Y^11 + 4*Y^10 
        + 3*Y^9 + 5*Y^7 + 3*Y^6 + 5*Y^5 + Y^4 + 3*Y^2 + 4*Y + 6,
    T^32 + 8/7*T^31 - 41/49*T^30 - 69/49*T^29 - 40/49*T^28 - 27/49*T^27 + 17/49*T^26
        + 23/49*T^25 + 6/49*T^24 + 44/49*T^23 + 41/49*T^22 - 2/7*T^21 - 10/49*T^20 +
        20/49*T^19 - 1/49*T^18 - 34/49*T^17 - 40/49*T^16 - 34/49*T^15 - 1/49*T^14 + 
        20/49*T^13 - 10/49*T^12 - 2/7*T^11 + 41/49*T^10 + 44/49*T^9 + 6/49*T^8 + 
        23/49*T^7 + 17/49*T^6 - 27/49*T^5 - 40/49*T^4 - 69/49*T^3 - 41/49*T^2 + 
        8/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 6*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + X*Y^3 + X*Y^2 + 3*X + 
        3*Y^18 + 3*Y^17 + 5*Y^16 + 5*Y^15 + 6*Y^14 + 5*Y^13 + 6*Y^12 + 6*Y^11 + 
        3*Y^10 + 6*Y^9 + 6*Y^8 + Y^7 + Y^6 + 5*Y^4 + 3*Y^2 + 6*Y + 3,
    T^32 - T^31 + 12/49*T^30 - 6/7*T^29 + 30/49*T^28 - 1/7*T^27 - 2/7*T^26 + 
        82/49*T^25 - 78/49*T^24 + 54/49*T^23 - 65/49*T^22 + 8/7*T^21 - 32/49*T^20 - 
        31/49*T^19 + 65/49*T^18 - 67/49*T^17 + 74/49*T^16 - 67/49*T^15 + 65/49*T^14 
        - 31/49*T^13 - 32/49*T^12 + 8/7*T^11 - 65/49*T^10 + 54/49*T^9 - 78/49*T^8 + 
        82/49*T^7 - 2/7*T^6 - 1/7*T^5 + 30/49*T^4 - 6/7*T^3 + 12/49*T^2 - T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + 4*X*Y^2 + 6*X 
        + Y^18 + Y^17 + Y^16 + 6*Y^15 + Y^14 + Y^13 + 4*Y^12 + Y^11 + 5*Y^10 + 4*Y^9
        + 5*Y^8 + 5*Y^7 + 3*Y^6 + Y^5 + 5*Y^4 + 5*Y^3 + 6*Y^2 + Y,
    -T^32 + 97/49*T^30 - 29/49*T^29 - 54/49*T^28 + 10/7*T^27 - 20/49*T^26 - 
        73/49*T^25 + 26/49*T^24 + 32/49*T^23 - 2/49*T^22 - 2/7*T^21 - 10/49*T^20 + 
        20/49*T^19 + 10/49*T^18 - 5/49*T^17 + 5/49*T^15 - 10/49*T^14 - 20/49*T^13 + 
        10/49*T^12 + 2/7*T^11 + 2/49*T^10 - 32/49*T^9 - 26/49*T^8 + 73/49*T^7 + 
        20/49*T^6 - 10/7*T^5 + 54/49*T^4 + 29/49*T^3 - 97/49*T^2 + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 6*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 
        3*X*Y^2 + 4*Y^18 + 3*Y^17 + 4*Y^16 + 5*Y^15 + 6*Y^14 + 3*Y^13 + 2*Y^12 + 
        5*Y^11 + 5*Y^10 + 6*Y^8 + 5*Y^7 + 4*Y^6 + 4*Y^4 + 3*Y^3 + 4*Y^2 + 6*Y + 4,
    T^32 + 3/7*T^31 - 5/49*T^30 - 2/7*T^29 - 26/49*T^28 + 5/49*T^27 - 11/49*T^26 + 
        34/49*T^25 + 16/49*T^24 - 19/49*T^23 + 3/49*T^22 + 3/49*T^21 - 3/49*T^20 + 
        4/49*T^19 + 33/49*T^18 + 2/7*T^17 - 12/49*T^16 + 2/7*T^15 + 33/49*T^14 + 
        4/49*T^13 - 3/49*T^12 + 3/49*T^11 + 3/49*T^10 - 19/49*T^9 + 16/49*T^8 + 
        34/49*T^7 - 11/49*T^6 + 5/49*T^5 - 26/49*T^4 - 2/7*T^3 - 5/49*T^2 + 3/7*T + 
        1
*], [*
    X^3 + 5*X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + X*Y^4 + 6*X*Y^3 + 6*X*Y^2 + X*Y + 5*X + 
        5*Y^18 + 6*Y^17 + 6*Y^16 + Y^15 + 5*Y^13 + 5*Y^12 + 3*Y^11 + 4*Y^10 + 4*Y^9 
        + 3*Y^7 + 3*Y^6 + 3*Y^5 + 6*Y^4 + 2*Y^3 + 4*Y + 3,
    -T^32 - 11/7*T^31 + 71/49*T^29 + 8/7*T^28 + 6/49*T^27 - 1/49*T^26 + 19/49*T^25 +
        25/49*T^24 - 9/49*T^23 - 32/49*T^22 - 19/49*T^21 - 33/49*T^20 - 24/49*T^19 +
        22/49*T^18 + 6/7*T^17 - 6/7*T^15 - 22/49*T^14 + 24/49*T^13 + 33/49*T^12 + 
        19/49*T^11 + 32/49*T^10 + 9/49*T^9 - 25/49*T^8 - 19/49*T^7 + 1/49*T^6 - 
        6/49*T^5 - 8/7*T^4 - 71/49*T^3 + 11/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        6*X*Y^2 + 5*X*Y + 5*X + 5*Y^18 + 2*Y^17 + 4*Y^15 + 4*Y^14 + 4*Y^13 + 4*Y^12 
        + 5*Y^11 + Y^10 + 5*Y^9 + 2*Y^7 + 3*Y^5 + 6*Y^4 + 6*Y + 1,
    -T^32 + 19/7*T^31 - 130/49*T^30 + 5/7*T^29 + 37/49*T^28 - 71/49*T^27 + 
        20/49*T^26 + 146/49*T^25 - 30/7*T^24 + 86/49*T^23 + 57/49*T^22 - 162/49*T^21
        + 22/7*T^20 + 61/49*T^19 - 220/49*T^18 + 141/49*T^17 - 141/49*T^15 + 
        220/49*T^14 - 61/49*T^13 - 22/7*T^12 + 162/49*T^11 - 57/49*T^10 - 86/49*T^9 
        + 30/7*T^8 - 146/49*T^7 - 20/49*T^6 + 71/49*T^5 - 37/49*T^4 - 5/7*T^3 + 
        130/49*T^2 - 19/7*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 
        5*X*Y^2 + 3*X*Y + 2*X + 5*Y^18 + Y^16 + Y^15 + 4*Y^14 + 5*Y^12 + Y^11 + 
        2*Y^10 + 4*Y^9 + 5*Y^8 + 5*Y^7 + 4*Y^6 + 3*Y^4 + 2*Y^3 + 4*Y^2 + 5*Y + 3,
    -T^32 - 1/7*T^31 + 44/49*T^30 + 44/49*T^29 - 2/49*T^28 - 24/49*T^27 - 18/49*T^26
        - 1/7*T^25 - 13/49*T^24 + 11/49*T^23 + 34/49*T^22 - 4/7*T^21 + 22/49*T^19 + 
        5/49*T^18 - 3/49*T^17 + 3/49*T^15 - 5/49*T^14 - 22/49*T^13 + 4/7*T^11 - 
        34/49*T^10 - 11/49*T^9 + 13/49*T^8 + 1/7*T^7 + 18/49*T^6 + 24/49*T^5 + 
        2/49*T^4 - 44/49*T^3 - 44/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 3*X*Y^2 + X*Y 
        + 2*X + 2*Y^18 + Y^17 + 2*Y^16 + Y^15 + 2*Y^14 + 2*Y^13 + 3*Y^12 + 2*Y^11 + 
        3*Y^10 + 3*Y^9 + 5*Y^8 + 3*Y^7 + Y^6 + 5*Y^5 + 6*Y^4 + 2*Y^3 + Y^2 + 3,
    T^32 - 5/7*T^31 + 4/7*T^30 + 6/49*T^29 + 17/49*T^28 - 25/49*T^27 + 5/49*T^26 + 
        17/49*T^25 + 5/49*T^24 - 20/49*T^23 + 22/49*T^22 - 12/49*T^21 + 1/7*T^20 - 
        40/49*T^19 + 4/7*T^18 - 5/7*T^17 + 15/49*T^16 - 5/7*T^15 + 4/7*T^14 - 
        40/49*T^13 + 1/7*T^12 - 12/49*T^11 + 22/49*T^10 - 20/49*T^9 + 5/49*T^8 + 
        17/49*T^7 + 5/49*T^6 - 25/49*T^5 + 17/49*T^4 + 6/49*T^3 + 4/7*T^2 - 5/7*T + 
        1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 3*X*Y^7 + 4*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + X*Y^2 + 5*X*Y + 
        2*X + 2*Y^18 + 4*Y^16 + Y^15 + 4*Y^13 + 2*Y^12 + 3*Y^10 + Y^9 + 6*Y^8 + 
        2*Y^6 + 3*Y^5 + 2*Y^3 + 2*Y^2 + 6*Y + 1,
    T^32 + 2/7*T^31 - 30/49*T^30 + 9/49*T^29 + 5/49*T^28 + 3/49*T^27 - 27/49*T^26 - 
        19/49*T^25 - 20/49*T^24 - 13/49*T^23 + 11/49*T^22 - 26/49*T^21 - 12/49*T^20 
        + 22/49*T^19 + 20/49*T^18 + 13/49*T^17 + 18/49*T^16 + 13/49*T^15 + 
        20/49*T^14 + 22/49*T^13 - 12/49*T^12 - 26/49*T^11 + 11/49*T^10 - 13/49*T^9 -
        20/49*T^8 - 19/49*T^7 - 27/49*T^6 + 3/49*T^5 + 5/49*T^4 + 9/49*T^3 - 
        30/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + X*Y^4 + 5*X*Y^3 + 5*X*Y^2 
        + 5*X*Y + 5*X + 5*Y^18 + 6*Y^17 + 3*Y^16 + 5*Y^14 + 2*Y^13 + 4*Y^11 + 5*Y^10
        + 3*Y^9 + 4*Y^8 + 6*Y^6 + 5*Y^5 + 6*Y^4 + 4*Y^3 + Y^2 + 2,
    -T^32 - 3/7*T^31 + 48/49*T^30 - 11/49*T^29 - 4/7*T^28 - 2/7*T^27 - 1/7*T^26 + 
        4/49*T^25 - 5/7*T^24 + 1/7*T^23 + 46/49*T^22 + 6/49*T^21 - 10/49*T^20 - 
        10/49*T^19 + 8/49*T^18 - 1/49*T^17 + 1/49*T^15 - 8/49*T^14 + 10/49*T^13 + 
        10/49*T^12 - 6/49*T^11 - 46/49*T^10 - 1/7*T^9 + 5/7*T^8 - 4/49*T^7 + 1/7*T^6
        + 2/7*T^5 + 4/7*T^4 + 11/49*T^3 - 48/49*T^2 + 3/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + X*Y^6 + 2*X*Y^5 + 6*X*Y^3 + 4*X*Y^2 + 3*X*Y 
        + 4*X + 3*Y^18 + 3*Y^17 + 6*Y^16 + 5*Y^15 + 3*Y^14 + 5*Y^13 + 6*Y^12 + 
        5*Y^11 + 5*Y^10 + 5*Y^8 + 3*Y^6 + 3*Y^5 + 2*Y^4 + 2*Y^3 + 2*Y^2 + 5*Y + 4,
    -T^32 + 6/7*T^31 + 8/49*T^30 - 3/49*T^29 - 37/49*T^28 + 67/49*T^27 - 34/49*T^26 
        - 26/49*T^25 + 30/49*T^24 + 22/49*T^23 - 58/49*T^22 + 12/49*T^21 + 
        54/49*T^20 - 8/7*T^19 - 29/49*T^18 + 66/49*T^17 - 66/49*T^15 + 29/49*T^14 + 
        8/7*T^13 - 54/49*T^12 - 12/49*T^11 + 58/49*T^10 - 22/49*T^9 - 30/49*T^8 + 
        26/49*T^7 + 34/49*T^6 - 67/49*T^5 + 37/49*T^4 + 3/49*T^3 - 8/49*T^2 - 6/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + X*Y^3 + X*Y^2 + 
        2*X*Y + X + 6*Y^18 + 5*Y^17 + 6*Y^16 + 4*Y^15 + 6*Y^14 + 2*Y^13 + 6*Y^11 + 
        2*Y^10 + 4*Y^9 + 6*Y^8 + 2*Y^7 + 4*Y^6 + 6*Y^5 + 5*Y^3 + 4*Y^2 + Y + 4,
    -T^32 - 9/7*T^31 + 31/49*T^30 + 68/49*T^29 + 15/49*T^28 - 3/49*T^27 + 29/49*T^26
        + 9/49*T^25 - 65/49*T^24 - 38/49*T^23 + 2/7*T^22 - 4/7*T^21 - 1/49*T^20 + 
        13/7*T^19 + 65/49*T^18 - 12/49*T^17 + 12/49*T^15 - 65/49*T^14 - 13/7*T^13 + 
        1/49*T^12 + 4/7*T^11 - 2/7*T^10 + 38/49*T^9 + 65/49*T^8 - 9/49*T^7 - 
        29/49*T^6 + 3/49*T^5 - 15/49*T^4 - 68/49*T^3 - 31/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^7 + 4*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + X*Y^2 + 3*X*Y + 5*X + 
        Y^18 + 2*Y^17 + Y^16 + 6*Y^14 + 6*Y^13 + 3*Y^12 + 5*Y^11 + 4*Y^10 + Y^9 + 
        Y^8 + 6*Y^7 + 4*Y^3 + 6*Y^2 + 5,
    -T^32 + 2/7*T^31 + 4/7*T^30 - 5/7*T^29 - 10/49*T^28 + 19/49*T^27 - 6/7*T^25 + 
        30/49*T^24 + 10/49*T^23 - 39/49*T^22 + 10/49*T^21 + 31/49*T^20 - 36/49*T^19 
        - 4/7*T^18 + 39/49*T^17 - 39/49*T^15 + 4/7*T^14 + 36/49*T^13 - 31/49*T^12 - 
        10/49*T^11 + 39/49*T^10 - 10/49*T^9 - 30/49*T^8 + 6/7*T^7 - 19/49*T^5 + 
        10/49*T^4 + 5/7*T^3 - 4/7*T^2 - 2/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + X*Y^7 + X*Y^6 + 5*X*Y^5 + X*Y^3 + 5*X*Y + 4*X + 2*Y^18 +
        5*Y^17 + 3*Y^16 + 4*Y^15 + 2*Y^14 + 4*Y^13 + Y^12 + 5*Y^11 + Y^10 + 6*Y^9 + 
        2*Y^8 + 5*Y^7 + 5*Y^4 + 3*Y^3 + 5*Y^2 + 6*Y + 1,
    T^32 + 11/7*T^31 - 82/49*T^29 - 11/7*T^28 - 30/49*T^27 + 2/7*T^26 + 41/49*T^25 +
        50/49*T^24 + 37/49*T^23 - 3/49*T^22 - 24/49*T^21 - 17/49*T^20 - 25/49*T^19 -
        40/49*T^18 + 6/49*T^17 + 52/49*T^16 + 6/49*T^15 - 40/49*T^14 - 25/49*T^13 - 
        17/49*T^12 - 24/49*T^11 - 3/49*T^10 + 37/49*T^9 + 50/49*T^8 + 41/49*T^7 + 
        2/7*T^6 - 30/49*T^5 - 11/7*T^4 - 82/49*T^3 + 11/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 4*X*Y^8 + 5*X*Y^6 + 3*X*Y^5 + 6*X*Y^3 + 5*X*Y^2 + 2*X*Y + 6*X + 
        3*Y^18 + Y^17 + 6*Y^16 + 4*Y^15 + 3*Y^14 + 4*Y^13 + 4*Y^12 + 6*Y^11 + Y^10 +
        Y^9 + 6*Y^8 + 2*Y^7 + 6*Y^6 + 3*Y^5 + 2*Y^4 + 4*Y^3 + 4*Y^2 + 5*Y + 4,
    T^32 - 16/7*T^31 + 157/49*T^30 - 148/49*T^29 + 120/49*T^28 - 108/49*T^27 + 
        117/49*T^26 - 114/49*T^25 + 102/49*T^24 - 75/49*T^23 + 15/49*T^22 + 
        85/49*T^21 - 185/49*T^20 + 244/49*T^19 - 34/7*T^18 + 30/7*T^17 - 27/7*T^16 +
        30/7*T^15 - 34/7*T^14 + 244/49*T^13 - 185/49*T^12 + 85/49*T^11 + 15/49*T^10 
        - 75/49*T^9 + 102/49*T^8 - 114/49*T^7 + 117/49*T^6 - 108/49*T^5 + 120/49*T^4
        - 148/49*T^3 + 157/49*T^2 - 16/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 
        6*X*Y^2 + 4*X + 2*Y^18 + 6*Y^17 + 6*Y^16 + 5*Y^15 + 2*Y^14 + 6*Y^13 + Y^12 +
        6*Y^11 + 2*Y^10 + 2*Y^9 + 6*Y^8 + 6*Y^7 + 2*Y^6 + 3*Y^5 + 6*Y^4 + 2*Y^3 + 
        3*Y^2 + 3*Y + 3,
    -T^32 + 9/7*T^31 + 39/49*T^30 - 134/49*T^29 + 18/49*T^28 + 142/49*T^27 - 
        53/49*T^26 - 18/7*T^25 + 29/49*T^24 + 153/49*T^23 - 39/49*T^22 - 184/49*T^21
        + 83/49*T^20 + 138/49*T^19 - 75/49*T^18 - 11/7*T^17 + 11/7*T^15 + 75/49*T^14
        - 138/49*T^13 - 83/49*T^12 + 184/49*T^11 + 39/49*T^10 - 153/49*T^9 - 
        29/49*T^8 + 18/7*T^7 + 53/49*T^6 - 142/49*T^5 - 18/49*T^4 + 134/49*T^3 - 
        39/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 2*X*Y^8 + X*Y^7 + 5*X*Y^6 + 3*X*Y^3 + 3*X*Y^2 + 6*X*Y + 4*X + 
        4*Y^18 + Y^17 + Y^16 + 5*Y^15 + 4*Y^14 + 2*Y^13 + Y^12 + 4*Y^11 + 5*Y^10 + 
        2*Y^9 + 5*Y^8 + Y^7 + 5*Y^6 + 4*Y^5 + 3*Y^4 + 3*Y^3 + 3*Y^2 + 6*Y + 4,
    T^32 - 4/7*T^31 - 27/49*T^30 - 2/7*T^29 + 10/7*T^28 + 4/49*T^27 - 30/49*T^26 + 
        3/49*T^25 - 12/49*T^24 + 1/49*T^23 - 8/49*T^22 + 9/7*T^21 - 20/49*T^20 - 
        6/7*T^19 - 24/49*T^18 + 3/7*T^17 + 24/49*T^16 + 3/7*T^15 - 24/49*T^14 - 
        6/7*T^13 - 20/49*T^12 + 9/7*T^11 - 8/49*T^10 + 1/49*T^9 - 12/49*T^8 + 
        3/49*T^7 - 30/49*T^6 + 4/49*T^5 + 10/7*T^4 - 2/7*T^3 - 27/49*T^2 - 4/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + X*Y^4 + 2*X*Y^3 + 5*X*Y^2 
        + 4*X*Y + 5*X + 6*Y^18 + Y^17 + 6*Y^16 + 5*Y^13 + 2*Y^12 + 6*Y^11 + 4*Y^10 +
        Y^9 + 5*Y^8 + Y^7 + 3*Y^6 + 4*Y^5 + 4*Y^4 + 5*Y^3 + 5*Y^2 + 6*Y + 1,
    T^32 + 6/7*T^31 - 4/7*T^30 - 23/49*T^29 + 3/7*T^28 + 22/49*T^27 - 16/49*T^26 + 
        2/49*T^25 + 40/49*T^24 - 9/49*T^23 - 6/7*T^22 + 11/49*T^21 + 46/49*T^20 + 
        2/7*T^19 - 40/49*T^18 - 17/49*T^17 + 25/49*T^16 - 17/49*T^15 - 40/49*T^14 + 
        2/7*T^13 + 46/49*T^12 + 11/49*T^11 - 6/7*T^10 - 9/49*T^9 + 40/49*T^8 + 
        2/49*T^7 - 16/49*T^6 + 22/49*T^5 + 3/7*T^4 - 23/49*T^3 - 4/7*T^2 + 6/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 5*X*Y^6 + 5*X*Y^5 + X*Y^4 + 5*X*Y^3 + 6*X*Y^2 + 2*X*Y 
        + 2*X + Y^18 + 4*Y^17 + 4*Y^16 + 5*Y^15 + 3*Y^12 + 3*Y^11 + Y^10 + 4*Y^9 + 
        6*Y^8 + 6*Y^7 + 3*Y^6 + 5*Y^5 + 4*Y^4 + 4*Y^3 + 5*Y^2 + 3*Y,
    T^32 - 4/7*T^31 - 45/49*T^30 + 2/49*T^29 - 11/49*T^28 + 17/49*T^27 + 44/49*T^26 
        + 1/49*T^25 + 1/49*T^24 - 25/49*T^23 - 26/49*T^22 - 2/49*T^21 - 9/49*T^20 + 
        47/49*T^19 + 5/49*T^18 - 13/49*T^17 - 2/7*T^16 - 13/49*T^15 + 5/49*T^14 + 
        47/49*T^13 - 9/49*T^12 - 2/49*T^11 - 26/49*T^10 - 25/49*T^9 + 1/49*T^8 + 
        1/49*T^7 + 44/49*T^6 + 17/49*T^5 - 11/49*T^4 + 2/49*T^3 - 45/49*T^2 - 4/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + 4*X*Y^8 + 3*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 2*X*Y^2 + 5*X 
        + 6*Y^18 + 6*Y^17 + 3*Y^16 + 5*Y^15 + 6*Y^14 + 3*Y^12 + Y^11 + 3*Y^10 + 
        2*Y^9 + 4*Y^6 + Y^5 + 5*Y^4 + 3*Y^3 + 3*Y^2 + 6*Y + 5,
    T^32 - 39/49*T^30 + 3/49*T^29 + 69/49*T^28 - 54/49*T^27 - 32/49*T^26 + 
        37/49*T^25 + 4/7*T^24 - 61/49*T^23 + 19/49*T^22 + 37/49*T^21 - 26/49*T^20 - 
        34/49*T^19 + 34/49*T^18 + 2/49*T^17 - 55/49*T^16 + 2/49*T^15 + 34/49*T^14 - 
        34/49*T^13 - 26/49*T^12 + 37/49*T^11 + 19/49*T^10 - 61/49*T^9 + 4/7*T^8 + 
        37/49*T^7 - 32/49*T^6 - 54/49*T^5 + 69/49*T^4 + 3/49*T^3 - 39/49*T^2 + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 
        3*X*Y^2 + 6*X*Y + 3*Y^18 + 4*Y^16 + Y^15 + 5*Y^14 + Y^13 + 6*Y^12 + 3*Y^11 +
        3*Y^10 + 4*Y^9 + 6*Y^8 + 4*Y^7 + Y^6 + Y^4 + 5*Y^3 + 4*Y^2 + 4*Y + 3,
    -T^32 + T^31 + 9/49*T^30 - 44/49*T^29 + 39/49*T^28 - 38/49*T^27 + 11/49*T^26 + 
        20/49*T^25 + 3/49*T^24 - 4/49*T^23 + 13/49*T^22 - 1/49*T^21 - 33/49*T^20 + 
        55/49*T^19 - 33/49*T^18 + 19/49*T^17 - 19/49*T^15 + 33/49*T^14 - 55/49*T^13 
        + 33/49*T^12 + 1/49*T^11 - 13/49*T^10 + 4/49*T^9 - 3/49*T^8 - 20/49*T^7 - 
        11/49*T^6 + 38/49*T^5 - 39/49*T^4 + 44/49*T^3 - 9/49*T^2 - T + 1
*], [*
    X^3 + 4*X*Y^8 + 5*X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 4*X*Y^2 + 3*X*Y + X + 5*Y^18 + 
        3*Y^17 + Y^16 + 2*Y^15 + 2*Y^14 + 5*Y^13 + 5*Y^12 + Y^11 + 2*Y^10 + 4*Y^9 + 
        2*Y^8 + 4*Y^7 + 4*Y^6 + 2*Y^5 + Y^4 + 2*Y^3 + 4*Y + 4,
    T^32 - 6/7*T^31 - 29/49*T^30 + 68/49*T^29 + 3/49*T^28 - 44/49*T^27 - 2/49*T^26 +
        11/49*T^25 + 22/49*T^24 - 24/49*T^23 - 37/49*T^22 + 23/49*T^21 + 24/49*T^20 
        - 3/49*T^19 - 29/49*T^18 - 3/49*T^17 + 51/49*T^16 - 3/49*T^15 - 29/49*T^14 -
        3/49*T^13 + 24/49*T^12 + 23/49*T^11 - 37/49*T^10 - 24/49*T^9 + 22/49*T^8 + 
        11/49*T^7 - 2/49*T^6 - 44/49*T^5 + 3/49*T^4 + 68/49*T^3 - 29/49*T^2 - 6/7*T 
        + 1
*], [*
    X^3 + 5*X*Y^9 + 6*X*Y^8 + X*Y^7 + 3*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        3*X*Y^2 + 3*X*Y + 5*X + Y^18 + 6*Y^16 + 2*Y^15 + 5*Y^14 + Y^12 + 6*Y^11 + 
        5*Y^10 + 4*Y^9 + 2*Y^8 + 4*Y^5 + 6*Y^4 + 2*Y^3 + 6*Y + 6,
    -T^32 + 3/7*T^31 + 6/7*T^30 - 10/7*T^29 + 5/49*T^28 + 51/49*T^27 - 22/49*T^26 + 
        19/49*T^25 - 4/49*T^24 + 1/49*T^23 + 43/49*T^22 - 32/49*T^21 - 29/49*T^20 + 
        4/7*T^19 - 2/7*T^18 - 8/49*T^17 + 8/49*T^15 + 2/7*T^14 - 4/7*T^13 + 
        29/49*T^12 + 32/49*T^11 - 43/49*T^10 - 1/49*T^9 + 4/49*T^8 - 19/49*T^7 + 
        22/49*T^6 - 51/49*T^5 - 5/49*T^4 + 10/7*T^3 - 6/7*T^2 - 3/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 3*X*Y^7 + X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 3*X*Y^3 + 5*X*Y + 5*X + 
        6*Y^18 + 5*Y^17 + 3*Y^16 + 6*Y^15 + 5*Y^14 + 2*Y^13 + Y^11 + 6*Y^10 + 6*Y^9 
        + 4*Y^8 + 2*Y^7 + 4*Y^6 + 4*Y^5 + 2*Y^3 + 4*Y^2 + 3*Y,
    -T^32 - 9/7*T^31 - 33/49*T^30 - 10/49*T^29 + 19/49*T^28 + 75/49*T^27 + 11/7*T^26
        + 54/49*T^25 + 5/7*T^24 + 34/49*T^23 + 22/49*T^22 - 13/49*T^21 - 40/49*T^20 
        - 78/49*T^19 - 102/49*T^18 - 57/49*T^17 + 57/49*T^15 + 102/49*T^14 + 
        78/49*T^13 + 40/49*T^12 + 13/49*T^11 - 22/49*T^10 - 34/49*T^9 - 5/7*T^8 - 
        54/49*T^7 - 11/7*T^6 - 75/49*T^5 - 19/49*T^4 + 10/49*T^3 + 33/49*T^2 + 9/7*T
        + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 4*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 
        4*X*Y + 6*X + 5*Y^18 + 2*Y^17 + 4*Y^16 + 3*Y^15 + 6*Y^14 + 5*Y^13 + Y^12 + 
        6*Y^11 + 4*Y^10 + 2*Y^9 + 2*Y^8 + 3*Y^7 + 4*Y^6 + Y^5 + 2*Y^4 + 4*Y^3 + 
        3*Y^2 + 5*Y + 1,
    -T^32 - 6/7*T^31 + 37/49*T^30 + 75/49*T^29 + 6/49*T^28 - 40/49*T^27 + 10/49*T^26
        + 1/7*T^25 - 31/49*T^24 - 3/7*T^23 + 44/49*T^22 + 22/49*T^21 - 17/49*T^20 - 
        19/49*T^19 - 3/7*T^18 - 31/49*T^17 + 31/49*T^15 + 3/7*T^14 + 19/49*T^13 + 
        17/49*T^12 - 22/49*T^11 - 44/49*T^10 + 3/7*T^9 + 31/49*T^8 - 1/7*T^7 - 
        10/49*T^6 + 40/49*T^5 - 6/49*T^4 - 75/49*T^3 - 37/49*T^2 + 6/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + X*Y^3 + X*Y^2 
        + 2*X*Y + 5*X + 5*Y^18 + 5*Y^17 + 6*Y^16 + 3*Y^14 + Y^13 + 4*Y^12 + Y^11 + 
        Y^10 + Y^9 + Y^8 + 3*Y^7 + 2*Y^6 + Y^5 + 2*Y^4 + 5*Y^3 + 6*Y^2 + 3*Y + 1,
    -T^32 + 11/7*T^31 - 10/7*T^30 + 72/49*T^29 - 46/49*T^28 - 6/49*T^26 + 15/49*T^25
        + 11/49*T^24 - 9/49*T^23 + 10/49*T^22 - 48/49*T^21 + 64/49*T^20 - T^19 + 
        6/7*T^18 - 23/49*T^17 + 23/49*T^15 - 6/7*T^14 + T^13 - 64/49*T^12 + 
        48/49*T^11 - 10/49*T^10 + 9/49*T^9 - 11/49*T^8 - 15/49*T^7 + 6/49*T^6 + 
        46/49*T^4 - 72/49*T^3 + 10/7*T^2 - 11/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 3*X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 2*X*Y + X + 
        3*Y^18 + 3*Y^17 + 6*Y^16 + 2*Y^15 + Y^14 + Y^13 + 6*Y^12 + 5*Y^11 + 6*Y^10 +
        Y^9 + Y^8 + 2*Y^7 + 5*Y^6 + 6*Y^5 + 3*Y^3 + Y^2 + 4*Y + 3,
    -T^32 - 2/7*T^31 + 29/49*T^30 + 8/49*T^29 + 11/49*T^28 + 1/7*T^27 - 11/49*T^26 -
        25/49*T^25 - 1/7*T^24 + 26/49*T^23 + 32/49*T^22 + 18/49*T^21 - 9/49*T^20 + 
        6/49*T^19 + 11/49*T^18 - 18/49*T^17 + 18/49*T^15 - 11/49*T^14 - 6/49*T^13 + 
        9/49*T^12 - 18/49*T^11 - 32/49*T^10 - 26/49*T^9 + 1/7*T^8 + 25/49*T^7 + 
        11/49*T^6 - 1/7*T^5 - 11/49*T^4 - 8/49*T^3 - 29/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + X*Y^6 + X*Y^5 + X*Y^4 + 2*X*Y^3 + 6*X*Y + 3*X + 5*Y^18 +
        Y^17 + 3*Y^16 + 6*Y^15 + 5*Y^13 + 6*Y^12 + 2*Y^11 + Y^10 + 3*Y^9 + 5*Y^8 + 
        6*Y^7 + 2*Y^6 + Y^5 + Y^4 + 6*Y^3 + Y^2 + 3*Y + 4,
    T^32 - 3/7*T^31 - 10/7*T^30 + 45/49*T^29 + 11/49*T^28 - 39/49*T^27 + 12/49*T^26 
        - 6/49*T^25 + 23/49*T^24 + 19/49*T^23 - 75/49*T^22 + 25/49*T^21 + 
        101/49*T^20 - T^19 - 43/49*T^18 + 26/49*T^17 - 15/49*T^16 + 26/49*T^15 - 
        43/49*T^14 - T^13 + 101/49*T^12 + 25/49*T^11 - 75/49*T^10 + 19/49*T^9 + 
        23/49*T^8 - 6/49*T^7 + 12/49*T^6 - 39/49*T^5 + 11/49*T^4 + 45/49*T^3 - 
        10/7*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 4*X*Y^7 + X*Y^6 + 4*X*Y^5 + 5*X*Y^4 + 4*X*Y^3 + 2*X*Y^2 
        + 3*X + 2*Y^18 + Y^17 + 4*Y^16 + 3*Y^15 + 4*Y^14 + Y^13 + 3*Y^12 + 2*Y^11 + 
        2*Y^10 + 2*Y^9 + 3*Y^8 + Y^7 + 4*Y^6 + 3*Y^4 + 6*Y^2 + 5*Y + 6,
    T^32 + T^31 - 4/49*T^30 - 61/49*T^29 - 33/49*T^28 + 19/49*T^27 + 31/49*T^26 - 
        4/49*T^25 - 26/49*T^24 - 13/49*T^23 + 23/49*T^22 + 25/49*T^21 - 2/49*T^20 - 
        51/49*T^19 - 46/49*T^18 + 36/49*T^17 + 80/49*T^16 + 36/49*T^15 - 46/49*T^14 
        - 51/49*T^13 - 2/49*T^12 + 25/49*T^11 + 23/49*T^10 - 13/49*T^9 - 26/49*T^8 -
        4/49*T^7 + 31/49*T^6 + 19/49*T^5 - 33/49*T^4 - 61/49*T^3 - 4/49*T^2 + T + 1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + 6*X*Y^6 + 3*X*Y^4 + 4*X*Y^2 + 2*X*Y + 2*X + 4*Y^18 + 
        4*Y^17 + 5*Y^16 + 4*Y^15 + Y^14 + 4*Y^13 + 2*Y^12 + Y^11 + 4*Y^10 + 5*Y^8 + 
        4*Y^7 + 3*Y^6 + 6*Y^5 + 6*Y^4 + 6*Y^3 + 6*Y^2 + 1,
    -T^32 + 1/7*T^31 - 6/49*T^30 + 3/49*T^29 - 26/49*T^28 + 12/49*T^27 + 5/49*T^26 +
        31/49*T^25 - 32/49*T^24 + 3/7*T^23 - 11/49*T^22 + 29/49*T^21 - 24/49*T^20 - 
        19/49*T^19 + 6/49*T^18 - 6/49*T^14 + 19/49*T^13 + 24/49*T^12 - 29/49*T^11 + 
        11/49*T^10 - 3/7*T^9 + 32/49*T^8 - 31/49*T^7 - 5/49*T^6 - 12/49*T^5 + 
        26/49*T^4 - 3/49*T^3 + 6/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 
        2*X*Y^2 + 5*X*Y + 2*X + 6*Y^18 + Y^17 + 5*Y^16 + 3*Y^15 + 5*Y^14 + 2*Y^13 + 
        3*Y^12 + 4*Y^11 + 6*Y^10 + 6*Y^9 + 4*Y^8 + 4*Y^7 + Y^6 + 2*Y^5 + 4*Y^4 + 
        4*Y^2 + 6*Y + 1,
    T^32 + 2/7*T^31 - 58/49*T^30 - 50/49*T^29 + 8/49*T^28 + 53/49*T^27 + 48/49*T^26 
        - 43/49*T^25 - 78/49*T^24 - 3/49*T^23 + 68/49*T^22 + 69/49*T^21 - 8/49*T^20 
        - 78/49*T^19 - 74/49*T^18 + 6/7*T^17 + 2*T^16 + 6/7*T^15 - 74/49*T^14 - 
        78/49*T^13 - 8/49*T^12 + 69/49*T^11 + 68/49*T^10 - 3/49*T^9 - 78/49*T^8 - 
        43/49*T^7 + 48/49*T^6 + 53/49*T^5 + 8/49*T^4 - 50/49*T^3 - 58/49*T^2 + 2/7*T
        + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 2*X*Y^4 + 5*X*Y^3 + 3*X*Y + 5*X + 4*Y^18 + 
        4*Y^17 + 4*Y^16 + Y^15 + 3*Y^14 + 2*Y^13 + 3*Y^12 + 6*Y^11 + 6*Y^10 + 3*Y^9 
        + Y^8 + 5*Y^7 + 3*Y^6 + 3*Y^5 + 2*Y^4 + 4*Y^3 + 4*Y^2 + 3*Y + 1,
    -T^32 + 4/7*T^31 - 13/49*T^30 - 87/49*T^29 + 92/49*T^28 - 57/49*T^27 - 
        46/49*T^26 + 89/49*T^25 - 116/49*T^24 + 32/49*T^23 + 23/49*T^22 - 78/49*T^21
        + 53/49*T^20 - 15/49*T^19 + 1/49*T^18 - 1/49*T^17 + 1/49*T^15 - 1/49*T^14 + 
        15/49*T^13 - 53/49*T^12 + 78/49*T^11 - 23/49*T^10 - 32/49*T^9 + 116/49*T^8 -
        89/49*T^7 + 46/49*T^6 + 57/49*T^5 - 92/49*T^4 + 87/49*T^3 + 13/49*T^2 - 
        4/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + 
        6*X*Y^2 + 4*X*Y + X + 5*Y^18 + 5*Y^17 + 4*Y^16 + 2*Y^15 + 4*Y^14 + 4*Y^13 + 
        2*Y^9 + 2*Y^7 + 6*Y^6 + 4*Y^5 + 4*Y^4 + 2*Y^3 + 5*Y^2 + 2*Y + 3,
    -T^32 - 10/7*T^31 - 31/49*T^30 - 26/49*T^29 - 39/49*T^28 - 1/49*T^27 + 
        17/49*T^26 - 10/49*T^25 - 1/49*T^24 + 25/49*T^23 - 1/49*T^22 + 17/49*T^21 + 
        46/49*T^20 - 12/49*T^19 - 19/49*T^18 + 32/49*T^17 - 32/49*T^15 + 19/49*T^14 
        + 12/49*T^13 - 46/49*T^12 - 17/49*T^11 + 1/49*T^10 - 25/49*T^9 + 1/49*T^8 + 
        10/49*T^7 - 17/49*T^6 + 1/49*T^5 + 39/49*T^4 + 26/49*T^3 + 31/49*T^2 + 
        10/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 2*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + 3*X*Y + 4*X + 
        Y^18 + Y^17 + 5*Y^16 + 3*Y^15 + 3*Y^14 + 2*Y^13 + 3*Y^11 + 3*Y^9 + 2*Y^8 + 
        6*Y^7 + 2*Y^6 + 4*Y^5 + 5*Y^4 + 4*Y^3 + 4*Y^2 + 4,
    -T^32 + 6/7*T^31 + 30/49*T^30 - 53/49*T^29 + 10/49*T^28 + 54/49*T^27 + 6/7*T^26 
        - 103/49*T^25 - 24/49*T^24 + 69/49*T^23 - 17/49*T^22 - 74/49*T^21 - 
        3/49*T^20 + 111/49*T^19 + 5/7*T^18 - 12/7*T^17 + 12/7*T^15 - 5/7*T^14 - 
        111/49*T^13 + 3/49*T^12 + 74/49*T^11 + 17/49*T^10 - 69/49*T^9 + 24/49*T^8 + 
        103/49*T^7 - 6/7*T^6 - 54/49*T^5 - 10/49*T^4 + 53/49*T^3 - 30/49*T^2 - 6/7*T
        + 1
*], [*
    X^3 + 2*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 3*X*Y^4 + X*Y^2 + 5*X*Y + 3*X + 2*Y^18 + 
        3*Y^17 + 3*Y^16 + 3*Y^15 + Y^13 + 2*Y^11 + 6*Y^10 + Y^9 + 4*Y^8 + 3*Y^7 + 
        5*Y^5 + 3*Y^4 + 6*Y^3 + Y^2 + 6*Y + 6,
    T^32 + 2*T^31 + 137/49*T^30 + 92/49*T^29 + 33/49*T^28 - 27/49*T^27 - 39/49*T^26 
        - 4/7*T^25 - 18/49*T^24 - 38/49*T^23 - 9/7*T^22 - 65/49*T^21 - 40/49*T^20 + 
        8/49*T^19 + 9/49*T^18 - 4/49*T^17 - 39/49*T^16 - 4/49*T^15 + 9/49*T^14 + 
        8/49*T^13 - 40/49*T^12 - 65/49*T^11 - 9/7*T^10 - 38/49*T^9 - 18/49*T^8 - 
        4/7*T^7 - 39/49*T^6 - 27/49*T^5 + 33/49*T^4 + 92/49*T^3 + 137/49*T^2 + 2*T +
        1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 
        6*X*Y^2 + X*Y + 2*X + 2*Y^18 + 3*Y^17 + 6*Y^16 + 2*Y^15 + 3*Y^13 + Y^12 + 
        2*Y^11 + 3*Y^10 + 4*Y^9 + 5*Y^8 + 4*Y^7 + 6*Y^6 + 2*Y^5 + 5*Y^4 + 6*Y^3 + 
        2*Y^2 + Y + 6,
    T^32 - 3*T^31 + 34/7*T^30 - 289/49*T^29 + 262/49*T^28 - 183/49*T^27 + 
        117/49*T^26 - 111/49*T^25 + 139/49*T^24 - 131/49*T^23 + T^22 + 111/49*T^21 -
        270/49*T^20 + 362/49*T^19 - 372/49*T^18 + 332/49*T^17 - 311/49*T^16 + 
        332/49*T^15 - 372/49*T^14 + 362/49*T^13 - 270/49*T^12 + 111/49*T^11 + T^10 -
        131/49*T^9 + 139/49*T^8 - 111/49*T^7 + 117/49*T^6 - 183/49*T^5 + 262/49*T^4 
        - 289/49*T^3 + 34/7*T^2 - 3*T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 6*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 
        3*X*Y^2 + X*Y + 4*X + 5*Y^18 + 5*Y^17 + Y^15 + 5*Y^14 + 4*Y^13 + 4*Y^12 + 
        4*Y^11 + 6*Y^10 + 5*Y^9 + 6*Y^8 + 3*Y^7 + 5*Y^6 + Y^5 + 2*Y^4 + 3*Y^3 + 
        2*Y^2 + 4*Y,
    T^32 + 8/7*T^31 - 3/49*T^30 - 4/7*T^29 + 1/7*T^28 + 30/49*T^27 + 1/7*T^26 + 
        23/49*T^25 + 4/7*T^24 - 8/49*T^23 - 18/49*T^22 + 9/49*T^21 + 40/49*T^20 + 
        15/49*T^19 - 26/49*T^18 - 17/49*T^17 - 4/49*T^16 - 17/49*T^15 - 26/49*T^14 +
        15/49*T^13 + 40/49*T^12 + 9/49*T^11 - 18/49*T^10 - 8/49*T^9 + 4/7*T^8 + 
        23/49*T^7 + 1/7*T^6 + 30/49*T^5 + 1/7*T^4 - 4/7*T^3 - 3/49*T^2 + 8/7*T + 1
*], [*
    X^3 + X*Y^9 + X*Y^8 + 5*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 5*X*Y^4 + 2*X*Y^3 + Y^18 + 
        6*Y^17 + 3*Y^16 + 4*Y^15 + 3*Y^14 + 2*Y^13 + 4*Y^12 + 3*Y^11 + 4*Y^10 + 
        6*Y^9 + 3*Y^8 + 6*Y^7 + Y^5 + 5*Y^4 + 5*Y^3 + 3*Y + 6,
    T^32 + 9/7*T^31 + 24/49*T^30 - 29/49*T^29 - 62/49*T^28 - 38/49*T^27 - 44/49*T^26
        - 26/49*T^25 - 9/49*T^24 + 13/49*T^23 + 46/49*T^22 + 37/49*T^21 + T^20 + 
        16/49*T^19 - 20/49*T^18 - 32/49*T^17 - T^16 - 32/49*T^15 - 20/49*T^14 + 
        16/49*T^13 + T^12 + 37/49*T^11 + 46/49*T^10 + 13/49*T^9 - 9/49*T^8 - 
        26/49*T^7 - 44/49*T^6 - 38/49*T^5 - 62/49*T^4 - 29/49*T^3 + 24/49*T^2 + 
        9/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 5*X*Y^5 + 2*X*Y^4 + 5*X*Y^3 + X*Y^2 + 5*X*Y 
        + 3*X + Y^18 + 5*Y^17 + Y^16 + 2*Y^15 + 3*Y^13 + 5*Y^11 + Y^10 + 4*Y^9 + 
        3*Y^8 + 3*Y^6 + 3*Y^5 + 5*Y^4 + 5*Y^2 + 5*Y + 2,
    T^32 - 9/7*T^31 + 45/49*T^30 - 31/49*T^29 + 10/49*T^28 + 1/7*T^27 - 33/49*T^25 -
        6/49*T^23 + 11/49*T^22 - 16/49*T^21 + 12/49*T^20 - 12/49*T^19 + 27/49*T^18 -
        2/7*T^17 + 32/49*T^16 - 2/7*T^15 + 27/49*T^14 - 12/49*T^13 + 12/49*T^12 - 
        16/49*T^11 + 11/49*T^10 - 6/49*T^9 - 33/49*T^7 + 1/7*T^5 + 10/49*T^4 - 
        31/49*T^3 + 45/49*T^2 - 9/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^6 + 2*X*Y^5 + X*Y^4 + 5*X*Y^3 + 3*X*Y^2 + 3*X*Y + 3*X + 
        6*Y^18 + 3*Y^17 + 5*Y^16 + 4*Y^15 + 5*Y^14 + 2*Y^13 + 4*Y^12 + 2*Y^10 + 
        2*Y^9 + 5*Y^7 + 2*Y^5 + 4*Y^4 + 5*Y^3 + 2,
    -T^32 - 9/7*T^31 + 29/49*T^30 + 67/49*T^29 - 2/7*T^28 - 96/49*T^27 - 18/49*T^26 
        + 72/49*T^25 + 1/49*T^24 - T^23 + 32/49*T^22 + 103/49*T^21 - 11/49*T^20 - 
        102/49*T^19 + 25/49*T^18 + 107/49*T^17 - 107/49*T^15 - 25/49*T^14 + 
        102/49*T^13 + 11/49*T^12 - 103/49*T^11 - 32/49*T^10 + T^9 - 1/49*T^8 - 
        72/49*T^7 + 18/49*T^6 + 96/49*T^5 + 2/7*T^4 - 67/49*T^3 - 29/49*T^2 + 9/7*T 
        + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 5*X*Y^3 + 
        5*X*Y^2 + 5*X + 4*Y^18 + 2*Y^17 + 2*Y^16 + 6*Y^14 + 6*Y^13 + Y^12 + 3*Y^10 +
        Y^9 + 2*Y^8 + Y^7 + 5*Y^6 + 3*Y^5 + Y^4 + 6*Y^3 + Y^2 + 6*Y + 4,
    T^32 - 4/7*T^31 - 26/49*T^30 + 33/49*T^29 - 8/49*T^28 + 10/49*T^27 - 50/49*T^26 
        + 16/49*T^25 + 9/49*T^24 - 24/49*T^23 - 4/49*T^22 - 20/49*T^21 + 68/49*T^20 
        - 16/49*T^19 - 46/49*T^18 + 29/49*T^17 + 25/49*T^16 + 29/49*T^15 - 
        46/49*T^14 - 16/49*T^13 + 68/49*T^12 - 20/49*T^11 - 4/49*T^10 - 24/49*T^9 + 
        9/49*T^8 + 16/49*T^7 - 50/49*T^6 + 10/49*T^5 - 8/49*T^4 + 33/49*T^3 - 
        26/49*T^2 - 4/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 4*X*Y^6 + 4*X*Y^5 + X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + 4*X*Y + 
        2*X + 4*Y^18 + Y^17 + 6*Y^16 + 4*Y^15 + 6*Y^13 + 2*Y^11 + 5*Y^10 + 2*Y^9 + 
        2*Y^8 + 2*Y^7 + 4*Y^6 + 2*Y^5 + 5*Y^4 + Y^3 + 3*Y^2 + 4*Y + 4,
    -T^32 - 2/7*T^31 + 59/49*T^30 + 9/49*T^29 + 6/49*T^28 - 17/49*T^27 - 59/49*T^26 
        + 37/49*T^25 + 5/7*T^24 - T^23 - 10/49*T^22 - 2/49*T^21 + 2/7*T^20 + 
        57/49*T^19 - 22/49*T^18 - 52/49*T^17 + 52/49*T^15 + 22/49*T^14 - 57/49*T^13 
        - 2/7*T^12 + 2/49*T^11 + 10/49*T^10 + T^9 - 5/7*T^8 - 37/49*T^7 + 59/49*T^6 
        + 17/49*T^5 - 6/49*T^4 - 9/49*T^3 - 59/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + X*Y^7 + X*Y^6 + 5*X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 
        + 5*X*Y + 6*X + 2*Y^18 + 5*Y^17 + 4*Y^16 + 2*Y^15 + 2*Y^14 + Y^13 + Y^12 + 
        4*Y^11 + 2*Y^10 + 3*Y^9 + Y^8 + 3*Y^7 + 3*Y^6 + 5*Y^5 + 6*Y^2 + 5*Y + 3,
    -T^32 - 9/7*T^31 - 10/49*T^30 + 41/49*T^27 + 55/49*T^26 + 30/49*T^25 + 1/49*T^24
        - 8/49*T^23 - 11/49*T^22 - 5/7*T^21 + 3/7*T^20 + 76/49*T^19 + 44/49*T^18 + 
        10/49*T^17 - 10/49*T^15 - 44/49*T^14 - 76/49*T^13 - 3/7*T^12 + 5/7*T^11 + 
        11/49*T^10 + 8/49*T^9 - 1/49*T^8 - 30/49*T^7 - 55/49*T^6 - 41/49*T^5 + 
        10/49*T^2 + 9/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 4*X*Y^8 + 5*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 4*X*Y^3 + X*Y + 2*X + 
        2*Y^18 + 2*Y^17 + 6*Y^16 + 3*Y^15 + 2*Y^14 + 6*Y^13 + 4*Y^11 + 2*Y^10 + 
        3*Y^8 + 6*Y^6 + 3*Y^5 + 3*Y^4 + 3*Y^3 + 4*Y^2 + 1,
    T^32 - 4/7*T^31 + 6/49*T^30 - 34/49*T^29 + 2/7*T^28 - 33/49*T^27 + 45/49*T^26 - 
        72/49*T^25 + 50/49*T^24 - 9/49*T^23 + 38/49*T^22 - 41/49*T^21 + 67/49*T^20 -
        75/49*T^19 + 68/49*T^18 - 50/49*T^17 + 11/49*T^16 - 50/49*T^15 + 68/49*T^14 
        - 75/49*T^13 + 67/49*T^12 - 41/49*T^11 + 38/49*T^10 - 9/49*T^9 + 50/49*T^8 -
        72/49*T^7 + 45/49*T^6 - 33/49*T^5 + 2/7*T^4 - 34/49*T^3 + 6/49*T^2 - 4/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 2*X*Y^3 + 6*X*Y^2 + 2*X*Y 
        + 4*X + 3*Y^18 + 5*Y^17 + 3*Y^16 + 6*Y^15 + 4*Y^14 + 2*Y^13 + Y^12 + 4*Y^11 
        + 4*Y^10 + 5*Y^9 + 5*Y^8 + 6*Y^7 + 4*Y^6 + 2*Y^5 + 5*Y^4 + 5*Y^3 + 6*Y^2 + 
        2*Y + 3,
    -T^32 + 1/7*T^31 + 6/7*T^30 - 5/49*T^29 - 5/49*T^28 - 22/49*T^27 + 13/49*T^26 - 
        2/49*T^25 + 24/49*T^24 - 13/49*T^23 - 24/49*T^22 + 32/49*T^21 + 1/49*T^20 + 
        23/49*T^19 - 34/49*T^18 - 1/49*T^17 + 1/49*T^15 + 34/49*T^14 - 23/49*T^13 - 
        1/49*T^12 - 32/49*T^11 + 24/49*T^10 + 13/49*T^9 - 24/49*T^8 + 2/49*T^7 - 
        13/49*T^6 + 22/49*T^5 + 5/49*T^4 + 5/49*T^3 - 6/7*T^2 - 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 3*X*Y^7 + X*Y^6 + 4*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        6*X*Y^2 + 5*X + 4*Y^18 + 2*Y^17 + 2*Y^16 + 6*Y^15 + 6*Y^14 + 3*Y^13 + 4*Y^12
        + 3*Y^11 + 5*Y^10 + 5*Y^9 + 4*Y^8 + 6*Y^7 + 5*Y^6 + 4*Y^5 + 3*Y^4 + Y^3 + 
        4*Y^2 + 2*Y + 2,
    -T^32 - 1/7*T^31 + 5/49*T^30 + 34/49*T^29 + 18/49*T^28 - 18/49*T^27 + 3/49*T^26 
        + 18/49*T^25 + 36/49*T^24 - 2/7*T^23 - 3/7*T^22 - 9/49*T^21 - 5/49*T^20 + 
        19/49*T^19 - 5/49*T^18 - 5/49*T^17 + 5/49*T^15 + 5/49*T^14 - 19/49*T^13 + 
        5/49*T^12 + 9/49*T^11 + 3/7*T^10 + 2/7*T^9 - 36/49*T^8 - 18/49*T^7 - 
        3/49*T^6 + 18/49*T^5 - 18/49*T^4 - 34/49*T^3 - 5/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 6*X*Y^3 + 4*X*Y^2 + 
        3*X*Y + 3*X + 4*Y^18 + 6*Y^17 + 4*Y^16 + 3*Y^15 + 4*Y^14 + 6*Y^13 + 4*Y^12 +
        3*Y^11 + 5*Y^10 + 3*Y^9 + 3*Y^7 + 3*Y^6 + 5*Y^5 + 3*Y^4 + 6*Y^3 + 5*Y^2 + 
        3*Y + 3,
    T^32 - 57/49*T^30 + 3/49*T^29 + 4/7*T^28 + 9/49*T^27 - 12/49*T^26 - 4/7*T^25 + 
        10/49*T^24 + 31/49*T^23 - 10/49*T^22 - 2/7*T^21 - 2/49*T^20 - 6/49*T^19 + 
        1/49*T^18 + 5/49*T^17 - 10/49*T^16 + 5/49*T^15 + 1/49*T^14 - 6/49*T^13 - 
        2/49*T^12 - 2/7*T^11 - 10/49*T^10 + 31/49*T^9 + 10/49*T^8 - 4/7*T^7 - 
        12/49*T^6 + 9/49*T^5 + 4/7*T^4 + 3/49*T^3 - 57/49*T^2 + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 4*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + 5*X*Y 
        + 2*Y^18 + 4*Y^17 + Y^16 + 2*Y^15 + 4*Y^14 + Y^13 + 2*Y^12 + 4*Y^11 + 6*Y^10
        + 6*Y^9 + 4*Y^7 + 3*Y^6 + 3*Y^5 + 6*Y^4 + Y^2 + 6*Y + 2,
    -T^32 + 8/7*T^31 + 36/49*T^30 - T^29 + 3/49*T^28 + 26/49*T^27 - 3/7*T^26 - 
        29/49*T^25 + 32/49*T^24 - 15/49*T^23 - 16/49*T^22 + 26/49*T^21 + 44/49*T^20 
        - 52/49*T^19 - 13/49*T^18 + 37/49*T^17 - 37/49*T^15 + 13/49*T^14 + 
        52/49*T^13 - 44/49*T^12 - 26/49*T^11 + 16/49*T^10 + 15/49*T^9 - 32/49*T^8 + 
        29/49*T^7 + 3/7*T^6 - 26/49*T^5 - 3/49*T^4 + T^3 - 36/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 3*X*Y^8 + 2*X*Y^6 + X*Y^5 + 4*X*Y^4 + 2*X*Y^2 + X*Y + 3*X + 
        6*Y^18 + 4*Y^16 + 6*Y^15 + 2*Y^14 + 5*Y^13 + Y^10 + 6*Y^9 + 2*Y^7 + 4*Y^4 + 
        4*Y^3 + 5*Y^2 + 1,
    -T^32 - T^31 - 4/7*T^30 - T^29 - 100/49*T^28 - 68/49*T^27 - 1/7*T^26 - 
        39/49*T^25 - 53/49*T^24 + 9/49*T^23 + 43/49*T^22 - 16/49*T^21 + 5/49*T^20 + 
        8/7*T^19 + 4/7*T^18 - 38/49*T^17 + 38/49*T^15 - 4/7*T^14 - 8/7*T^13 - 
        5/49*T^12 + 16/49*T^11 - 43/49*T^10 - 9/49*T^9 + 53/49*T^8 + 39/49*T^7 + 
        1/7*T^6 + 68/49*T^5 + 100/49*T^4 + T^3 + 4/7*T^2 + T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 4*X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 5*X*Y + 6*X + 
        3*Y^18 + 5*Y^17 + 2*Y^16 + 3*Y^14 + Y^13 + 5*Y^12 + 4*Y^11 + 3*Y^10 + 2*Y^9 
        + 5*Y^8 + 4*Y^7 + 6*Y^6 + 5*Y^5 + Y^4 + 4*Y^3 + 4*Y + 1,
    T^32 + 2/7*T^31 + 36/49*T^30 - 10/7*T^29 + 3/7*T^28 - 30/49*T^27 + 78/49*T^26 - 
        10/49*T^25 + 8/49*T^24 - 37/49*T^23 - 33/49*T^22 + 3/7*T^21 - 27/49*T^20 + 
        52/49*T^19 - 67/49*T^18 + 6/7*T^17 - 85/49*T^16 + 6/7*T^15 - 67/49*T^14 + 
        52/49*T^13 - 27/49*T^12 + 3/7*T^11 - 33/49*T^10 - 37/49*T^9 + 8/49*T^8 - 
        10/49*T^7 + 78/49*T^6 - 30/49*T^5 + 3/7*T^4 - 10/7*T^3 + 36/49*T^2 + 2/7*T +
        1
*], [*
    X^3 + X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 4*X*Y^5 + 6*X*Y^4 + X*Y^3 + X + 3*Y^18 + Y^16 
        + 6*Y^15 + 6*Y^14 + 5*Y^12 + Y^11 + 4*Y^10 + 2*Y^9 + 6*Y^8 + 5*Y^7 + 5*Y^6 +
        6*Y^3 + Y,
    T^32 + 5/7*T^31 - 62/49*T^30 - 76/49*T^29 - 1/49*T^28 + 57/49*T^27 + 26/49*T^26 
        - 22/49*T^25 + 16/49*T^24 - 23/49*T^23 - 40/49*T^22 + 41/49*T^21 + 
        65/49*T^20 + 3/49*T^19 - 72/49*T^18 - 25/49*T^17 + 67/49*T^16 - 25/49*T^15 -
        72/49*T^14 + 3/49*T^13 + 65/49*T^12 + 41/49*T^11 - 40/49*T^10 - 23/49*T^9 + 
        16/49*T^8 - 22/49*T^7 + 26/49*T^6 + 57/49*T^5 - 1/49*T^4 - 76/49*T^3 - 
        62/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 2*X*Y^9 + 6*X*Y^8 + 2*X*Y^6 + 4*X*Y^5 + 5*X*Y^3 + X*Y^2 + 2*X*Y + 5*Y^18 +
        4*Y^17 + 5*Y^16 + Y^15 + 4*Y^14 + 3*Y^13 + 5*Y^12 + 2*Y^11 + 2*Y^10 + 2*Y^8 
        + 5*Y^6 + 2*Y^5 + 3*Y^4 + 3*Y^3 + 4*Y + 1,
    -T^32 - 5/7*T^31 - 3/49*T^30 + 33/49*T^29 + 79/49*T^28 + 22/49*T^27 + 10/49*T^26
        - 32/49*T^25 - 53/49*T^24 - 1/7*T^23 - 10/49*T^22 + 33/49*T^21 + 45/49*T^20 
        + 1/49*T^19 + 12/49*T^18 - 18/49*T^17 + 18/49*T^15 - 12/49*T^14 - 1/49*T^13 
        - 45/49*T^12 - 33/49*T^11 + 10/49*T^10 + 1/7*T^9 + 53/49*T^8 + 32/49*T^7 - 
        10/49*T^6 - 22/49*T^5 - 79/49*T^4 - 33/49*T^3 + 3/49*T^2 + 5/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + X*Y^7 + X*Y^6 + 6*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + X*Y^2 + 
        3*X*Y + 2*Y^18 + Y^17 + 4*Y^16 + 4*Y^15 + 5*Y^14 + 2*Y^12 + 4*Y^11 + 3*Y^10 
        + 5*Y^9 + 2*Y^8 + Y^7 + 5*Y^6 + 3*Y^5 + 2*Y^4 + 3*Y^3 + 6*Y^2 + 6*Y + 6,
    -T^32 - T^31 - 62/49*T^30 - 8/7*T^29 - 61/49*T^28 - 22/49*T^27 - 55/49*T^26 - 
        58/49*T^25 - 80/49*T^24 - 67/49*T^23 - 79/49*T^22 - 44/49*T^21 - 38/49*T^20 
        - 6/49*T^19 + 3/49*T^18 - 5/49*T^17 + 5/49*T^15 - 3/49*T^14 + 6/49*T^13 + 
        38/49*T^12 + 44/49*T^11 + 79/49*T^10 + 67/49*T^9 + 80/49*T^8 + 58/49*T^7 + 
        55/49*T^6 + 22/49*T^5 + 61/49*T^4 + 8/7*T^3 + 62/49*T^2 + T + 1
*], [*
    X^3 + X*Y^9 + 2*X*Y^8 + 4*X*Y^6 + 5*X*Y^5 + 5*X*Y^4 + 5*X*Y^3 + 2*X*Y^2 + 2*X*Y 
        + 4*X + 5*Y^18 + 2*Y^17 + 6*Y^16 + 3*Y^15 + 4*Y^14 + 3*Y^13 + 4*Y^12 + 
        3*Y^11 + Y^10 + 2*Y^9 + 2*Y^8 + 3*Y^7 + 2*Y^6 + 5*Y^5 + Y^4 + 3*Y^2 + 4*Y,
    T^32 + 3/7*T^31 + 6/7*T^30 + 40/49*T^29 + 10/49*T^28 + 30/49*T^27 - 9/49*T^26 - 
        24/49*T^25 - 32/49*T^24 - 71/49*T^23 - 39/49*T^22 - 34/49*T^21 - 6/49*T^20 +
        11/49*T^19 + 41/49*T^18 + 53/49*T^17 + 61/49*T^16 + 53/49*T^15 + 41/49*T^14 
        + 11/49*T^13 - 6/49*T^12 - 34/49*T^11 - 39/49*T^10 - 71/49*T^9 - 32/49*T^8 -
        24/49*T^7 - 9/49*T^6 + 30/49*T^5 + 10/49*T^4 + 40/49*T^3 + 6/7*T^2 + 3/7*T +
        1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 6*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 6*X*Y^3 + 2*X*Y^2 + 
        3*X*Y + 2*X + 4*Y^18 + 6*Y^17 + 2*Y^16 + 5*Y^15 + 5*Y^14 + 2*Y^13 + 2*Y^12 +
        2*Y^11 + 6*Y^10 + 5*Y^8 + 4*Y^7 + 6*Y^6 + Y^5 + 6*Y^3 + 6*Y^2 + 1,
    T^32 - 3/7*T^31 + 34/49*T^30 + 13/49*T^29 + 3/49*T^28 + 17/49*T^27 - 17/49*T^26 
        - 5/49*T^25 - 3/49*T^24 - 24/49*T^23 - 15/49*T^22 - 5/49*T^21 - 10/49*T^20 +
        2/49*T^19 - 24/49*T^18 + 26/49*T^17 - 24/49*T^16 + 26/49*T^15 - 24/49*T^14 +
        2/49*T^13 - 10/49*T^12 - 5/49*T^11 - 15/49*T^10 - 24/49*T^9 - 3/49*T^8 - 
        5/49*T^7 - 17/49*T^6 + 17/49*T^5 + 3/49*T^4 + 13/49*T^3 + 34/49*T^2 - 3/7*T 
        + 1
*], [*
    X^3 + 6*X*Y^8 + 3*X*Y^7 + 4*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + X*Y^3 + X*Y + 5*X + 
        2*Y^18 + 3*Y^17 + 4*Y^16 + 6*Y^15 + 6*Y^14 + 5*Y^13 + 6*Y^12 + 6*Y^11 + 
        6*Y^10 + 6*Y^8 + 4*Y^6 + 4*Y^5 + 5*Y^4 + Y^3 + 4*Y^2 + 2*Y + 6,
    -T^32 + 2/7*T^31 + 76/49*T^30 - 74/49*T^29 - 8/7*T^28 + 3*T^27 + 44/49*T^26 - 
        23/7*T^25 + 4/49*T^24 + 149/49*T^23 - 47/49*T^22 - 145/49*T^21 + 26/49*T^20 
        + 128/49*T^19 - 8/49*T^18 - 122/49*T^17 + 122/49*T^15 + 8/49*T^14 - 
        128/49*T^13 - 26/49*T^12 + 145/49*T^11 + 47/49*T^10 - 149/49*T^9 - 4/49*T^8 
        + 23/7*T^7 - 44/49*T^6 - 3*T^5 + 8/7*T^4 + 74/49*T^3 - 76/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 6*X*Y^7 + 4*X*Y^6 + X*Y^5 + 2*X*Y^4 + 4*X*Y^2 + 4*X*Y + 4*X + 6*Y^18 + 
        6*Y^15 + Y^14 + 4*Y^13 + 6*Y^12 + Y^11 + 4*Y^10 + 6*Y^9 + 6*Y^8 + 6*Y^7 + 
        3*Y^5 + 2*Y^4 + Y^3 + 3*Y^2 + 2*Y + 1,
    T^32 + 10/7*T^31 + 11/49*T^30 - 11/49*T^29 + 58/49*T^28 + 102/49*T^27 + 
        60/49*T^26 + 3/7*T^25 + 11/49*T^24 + 30/49*T^23 + 51/49*T^22 + 52/49*T^21 + 
        4/7*T^20 + 4/49*T^19 + 10/49*T^18 + 38/49*T^17 + 57/49*T^16 + 38/49*T^15 + 
        10/49*T^14 + 4/49*T^13 + 4/7*T^12 + 52/49*T^11 + 51/49*T^10 + 30/49*T^9 + 
        11/49*T^8 + 3/7*T^7 + 60/49*T^6 + 102/49*T^5 + 58/49*T^4 - 11/49*T^3 + 
        11/49*T^2 + 10/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + 6*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 
        4*X*Y^2 + X*Y + 6*X + 2*Y^18 + Y^16 + 2*Y^13 + 3*Y^12 + Y^11 + 3*Y^10 + 
        6*Y^9 + Y^8 + 4*Y^6 + Y^5 + 3*Y^4 + 2*Y^3 + Y^2 + 1,
    T^32 + T^31 - 8/49*T^30 - 44/49*T^29 - 59/49*T^28 - 26/49*T^27 + 33/49*T^26 + 
        9/49*T^25 - 26/49*T^24 - 47/49*T^23 - 39/49*T^22 + 11/49*T^21 + 41/49*T^20 +
        26/49*T^19 + 26/49*T^18 + 6/49*T^17 - 2/49*T^16 + 6/49*T^15 + 26/49*T^14 + 
        26/49*T^13 + 41/49*T^12 + 11/49*T^11 - 39/49*T^10 - 47/49*T^9 - 26/49*T^8 + 
        9/49*T^7 + 33/49*T^6 - 26/49*T^5 - 59/49*T^4 - 44/49*T^3 - 8/49*T^2 + T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 5*X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 2*X*Y^3 + 3*X*Y^2 + 
        2*X*Y + 5*X + Y^18 + 2*Y^16 + 2*Y^15 + 6*Y^14 + 2*Y^13 + 3*Y^12 + 4*Y^11 + 
        2*Y^10 + 3*Y^9 + 4*Y^8 + 6*Y^7 + 5*Y^6 + 3*Y^5 + 6*Y^4 + 3*Y^2 + 3*Y + 5,
    -T^32 + 3/7*T^31 + 3/49*T^30 - 16/49*T^29 + 23/49*T^28 - 46/49*T^27 + 33/49*T^26
        + 1/49*T^25 - 40/49*T^24 + 9/49*T^23 - 3/7*T^22 + 16/49*T^21 + 8/49*T^20 - 
        52/49*T^19 + 64/49*T^18 - 9/49*T^17 + 9/49*T^15 - 64/49*T^14 + 52/49*T^13 - 
        8/49*T^12 - 16/49*T^11 + 3/7*T^10 - 9/49*T^9 + 40/49*T^8 - 1/49*T^7 - 
        33/49*T^6 + 46/49*T^5 - 23/49*T^4 + 16/49*T^3 - 3/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + X*Y^8 + 2*X*Y^7 + 4*X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 4*X*Y^2 + 6*X*Y 
        + 4*X + 6*Y^18 + 5*Y^17 + 5*Y^16 + Y^15 + 2*Y^14 + 2*Y^12 + 3*Y^11 + 6*Y^10 
        + 2*Y^9 + Y^7 + 5*Y^6 + 4*Y^5 + 5*Y^4 + Y^3 + 3*Y^2 + 4,
    T^32 + T^31 + 55/49*T^30 + 20/49*T^29 + 27/49*T^28 + 1/49*T^27 - 23/49*T^26 - 
        41/49*T^25 - 17/49*T^24 - 15/49*T^23 + 1/49*T^22 - 9/49*T^21 + 17/49*T^20 + 
        16/49*T^19 + 16/49*T^18 + 11/49*T^17 + 10/49*T^16 + 11/49*T^15 + 16/49*T^14 
        + 16/49*T^13 + 17/49*T^12 - 9/49*T^11 + 1/49*T^10 - 15/49*T^9 - 17/49*T^8 - 
        41/49*T^7 - 23/49*T^6 + 1/49*T^5 + 27/49*T^4 + 20/49*T^3 + 55/49*T^2 + T + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + X*Y + 
        5*X + 4*Y^18 + 2*Y^17 + Y^16 + 3*Y^15 + Y^14 + 5*Y^13 + 5*Y^12 + 5*Y^11 + 
        2*Y^10 + 2*Y^9 + Y^8 + 4*Y^7 + 5*Y^6 + 5*Y^4 + Y^3 + 4*Y^2 + 4,
    -T^32 - 5/7*T^31 + 20/49*T^30 - 47/49*T^29 - 111/49*T^28 - 9/49*T^27 + 
        17/49*T^26 - 87/49*T^25 - 68/49*T^24 + 1/7*T^23 - 17/49*T^22 - 9/7*T^21 - 
        44/49*T^20 - 6/49*T^19 - 11/49*T^18 - 32/49*T^17 + 32/49*T^15 + 11/49*T^14 +
        6/49*T^13 + 44/49*T^12 + 9/7*T^11 + 17/49*T^10 - 1/7*T^9 + 68/49*T^8 + 
        87/49*T^7 - 17/49*T^6 + 9/49*T^5 + 111/49*T^4 + 47/49*T^3 - 20/49*T^2 + 
        5/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + 3*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 3*X*Y^3 + 3*X*Y^2 + 
        4*X*Y + 3*X + 5*Y^18 + 3*Y^17 + 5*Y^16 + 3*Y^15 + Y^14 + 3*Y^13 + 5*Y^12 + 
        Y^11 + 3*Y^10 + Y^9 + 2*Y^8 + 5*Y^6 + 2*Y^5 + 5*Y^4 + 4*Y^3 + Y^2 + 6*Y + 5,
    -T^32 - 5/7*T^31 + 109/49*T^30 + 138/49*T^29 - 102/49*T^28 - 34/7*T^27 + 
        23/49*T^26 + 260/49*T^25 + 79/49*T^24 - 4*T^23 - 141/49*T^22 + 76/49*T^21 + 
        124/49*T^20 + 23/49*T^19 - 53/49*T^18 - 41/49*T^17 + 41/49*T^15 + 53/49*T^14
        - 23/49*T^13 - 124/49*T^12 - 76/49*T^11 + 141/49*T^10 + 4*T^9 - 79/49*T^8 - 
        260/49*T^7 - 23/49*T^6 + 34/7*T^5 + 102/49*T^4 - 138/49*T^3 - 109/49*T^2 + 
        5/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + 3*X*Y^7 + 6*X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + 4*X*Y^3 + 
        4*X*Y^2 + 3*X*Y + 6*Y^18 + 4*Y^17 + Y^16 + 3*Y^15 + Y^12 + 3*Y^11 + 6*Y^10 +
        3*Y^9 + 5*Y^8 + Y^7 + 3*Y^5 + 5*Y^4 + 3*Y^3 + 5*Y^2 + 5*Y + 6,
    T^32 + 4/7*T^31 - 5/7*T^30 + 9/49*T^29 + 38/49*T^28 - 6/49*T^27 - 1/7*T^26 - 
        2/49*T^25 - 29/49*T^24 + 4/7*T^23 + 48/49*T^22 - 18/49*T^21 - 11/49*T^20 + 
        47/49*T^19 + 18/49*T^18 - 16/49*T^17 + 1/7*T^16 - 16/49*T^15 + 18/49*T^14 + 
        47/49*T^13 - 11/49*T^12 - 18/49*T^11 + 48/49*T^10 + 4/7*T^9 - 29/49*T^8 - 
        2/49*T^7 - 1/7*T^6 - 6/49*T^5 + 38/49*T^4 + 9/49*T^3 - 5/7*T^2 + 4/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^7 + X*Y^6 + 5*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + 6*X*Y^2 + 3*X*Y 
        + 5*Y^18 + 6*Y^17 + 4*Y^16 + 5*Y^15 + Y^14 + 3*Y^12 + Y^11 + 5*Y^10 + 3*Y^9 
        + 4*Y^8 + 2*Y^7 + 4*Y^6 + 3*Y^4 + 5*Y^3 + 3*Y^2 + 3*Y + 3,
    T^32 - 2*T^31 + 66/49*T^30 - 6/49*T^29 + 1/7*T^28 - 32/49*T^27 - 2/49*T^26 + 
        25/49*T^25 - 12/49*T^24 + 26/49*T^23 - 74/49*T^22 + 50/49*T^21 + 17/49*T^20 
        - 10/49*T^19 - 38/49*T^18 + 39/49*T^17 - 13/49*T^16 + 39/49*T^15 - 
        38/49*T^14 - 10/49*T^13 + 17/49*T^12 + 50/49*T^11 - 74/49*T^10 + 26/49*T^9 -
        12/49*T^8 + 25/49*T^7 - 2/49*T^6 - 32/49*T^5 + 1/7*T^4 - 6/49*T^3 + 
        66/49*T^2 - 2*T + 1
*], [*
    X^3 + 2*X*Y^9 + 5*X*Y^8 + X*Y^7 + 6*X*Y^6 + X*Y^4 + X*Y^3 + 2*X*Y^2 + 3*X + 
        4*Y^18 + 5*Y^17 + 5*Y^16 + 5*Y^15 + 3*Y^14 + 5*Y^12 + Y^11 + 4*Y^10 + 3*Y^9 
        + Y^8 + 2*Y^7 + 4*Y^6 + 4*Y^4 + 2*Y^3 + 3*Y^2 + Y + 2,
    T^32 + 1/7*T^31 - 86/49*T^30 + 8/49*T^29 + 89/49*T^28 + 12/49*T^27 - 58/49*T^26 
        - 43/49*T^25 + 22/49*T^24 + 54/49*T^23 + 10/49*T^22 - 46/49*T^21 - 
        67/49*T^20 + 11/49*T^19 + 17/7*T^18 - 3/49*T^17 - 152/49*T^16 - 3/49*T^15 + 
        17/7*T^14 + 11/49*T^13 - 67/49*T^12 - 46/49*T^11 + 10/49*T^10 + 54/49*T^9 + 
        22/49*T^8 - 43/49*T^7 - 58/49*T^6 + 12/49*T^5 + 89/49*T^4 + 8/49*T^3 - 
        86/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 6*X*Y^8 + X*Y^7 + 4*X*Y^6 + 6*X*Y^4 + 4*X*Y^3 + 3*X*Y^2 + 2*X*Y 
        + Y^18 + 2*Y^17 + 6*Y^16 + 3*Y^15 + 3*Y^14 + 2*Y^13 + Y^12 + Y^11 + 6*Y^10 +
        5*Y^8 + 3*Y^7 + Y^6 + 2*Y^5 + 2*Y^4 + Y^2 + 4*Y + 5,
    T^32 - 6/7*T^31 - 55/49*T^30 + 81/49*T^29 + 29/49*T^28 - 32/49*T^27 - 82/49*T^26
        + 5/7*T^25 + 17/7*T^24 - 65/49*T^23 - 93/49*T^22 + 38/49*T^21 + 97/49*T^20 -
        1/49*T^19 - 132/49*T^18 - 10/49*T^17 + 153/49*T^16 - 10/49*T^15 - 
        132/49*T^14 - 1/49*T^13 + 97/49*T^12 + 38/49*T^11 - 93/49*T^10 - 65/49*T^9 +
        17/7*T^8 + 5/7*T^7 - 82/49*T^6 - 32/49*T^5 + 29/49*T^4 + 81/49*T^3 - 
        55/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 6*X*Y^7 + X*Y^6 + 2*X*Y^5 + 3*X*Y^4 + 3*X*Y^2 + X*Y + 
        6*X + 4*Y^18 + 3*Y^16 + 2*Y^15 + 6*Y^14 + 2*Y^13 + Y^12 + Y^11 + 2*Y^9 + 
        2*Y^8 + 3*Y^7 + 2*Y^5 + 6*Y^3 + 6*Y^2 + 2*Y + 4,
    -T^32 + 3/7*T^31 + 29/49*T^30 - 8/49*T^29 + 27/49*T^28 + 9/49*T^27 - 22/49*T^26 
        - 5/7*T^25 - 2/7*T^24 + 11/49*T^23 + 13/49*T^22 + 22/49*T^21 + 20/49*T^20 - 
        8/49*T^19 - 36/49*T^18 - 22/49*T^17 + 22/49*T^15 + 36/49*T^14 + 8/49*T^13 - 
        20/49*T^12 - 22/49*T^11 - 13/49*T^10 - 11/49*T^9 + 2/7*T^8 + 5/7*T^7 + 
        22/49*T^6 - 9/49*T^5 - 27/49*T^4 + 8/49*T^3 - 29/49*T^2 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 6*X*Y^7 + X*Y^5 + 5*X*Y^4 + 3*X*Y^3 + 5*X*Y^2 + 5*X*Y + 5*Y^18 +
        6*Y^16 + 5*Y^15 + 4*Y^14 + 6*Y^13 + 4*Y^12 + 4*Y^11 + 5*Y^10 + 3*Y^9 + 6*Y^8
        + 2*Y^7 + 5*Y^6 + 4*Y^5 + 5*Y^4 + 5*Y^3 + Y^2 + 2*Y + 1,
    -T^32 + 13/7*T^31 - 41/49*T^30 - 16/49*T^29 - 13/49*T^28 + 58/49*T^27 - 
        33/49*T^26 - 22/49*T^25 + 22/49*T^24 + 29/49*T^23 - 26/49*T^22 - 22/49*T^21 
        + 2/7*T^20 + 11/49*T^19 + 9/49*T^18 - 3/7*T^17 + 3/7*T^15 - 9/49*T^14 - 
        11/49*T^13 - 2/7*T^12 + 22/49*T^11 + 26/49*T^10 - 29/49*T^9 - 22/49*T^8 + 
        22/49*T^7 + 33/49*T^6 - 58/49*T^5 + 13/49*T^4 + 16/49*T^3 + 41/49*T^2 - 
        13/7*T + 1
*], [*
    X^3 + 6*X*Y^8 + 6*X*Y^7 + 3*X*Y^5 + X*Y^4 + 2*X*Y^3 + X*Y^2 + X*Y + X + 5*Y^18 +
        6*Y^17 + 3*Y^16 + Y^15 + 2*Y^14 + Y^13 + 2*Y^12 + 4*Y^11 + 6*Y^10 + Y^8 + 
        Y^7 + 2*Y^5 + 5*Y^3 + 6*Y^2 + 5*Y + 1,
    T^32 - 6/7*T^31 + 17/49*T^30 + 2/7*T^29 - 12/49*T^28 - 1/7*T^27 - 6/7*T^26 + 
        60/49*T^25 - 50/49*T^24 + 36/49*T^23 - 1/7*T^22 + 24/49*T^20 - 2/7*T^19 + 
        6/49*T^18 - 52/49*T^17 + 8/7*T^16 - 52/49*T^15 + 6/49*T^14 - 2/7*T^13 + 
        24/49*T^12 - 1/7*T^10 + 36/49*T^9 - 50/49*T^8 + 60/49*T^7 - 6/7*T^6 - 
        1/7*T^5 - 12/49*T^4 + 2/7*T^3 + 17/49*T^2 - 6/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 5*X*Y^6 + 2*X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + X*Y 
        + 6*X + Y^18 + 6*Y^17 + 4*Y^16 + 4*Y^15 + 2*Y^14 + 5*Y^13 + 2*Y^12 + Y^10 + 
        Y^9 + Y^8 + Y^7 + 6*Y^6 + 3*Y^5 + 4*Y^4 + 5*Y^3 + 6*Y + 4,
    -T^32 + 10/7*T^31 - 57/49*T^30 + 23/49*T^29 + 18/49*T^28 - 25/49*T^27 + 
        39/49*T^26 - 6/7*T^25 + 3/49*T^24 + 3/7*T^23 - 22/49*T^22 + 3/7*T^21 - 
        4/7*T^20 + 46/49*T^19 - 19/49*T^18 + 19/49*T^14 - 46/49*T^13 + 4/7*T^12 - 
        3/7*T^11 + 22/49*T^10 - 3/7*T^9 - 3/49*T^8 + 6/7*T^7 - 39/49*T^6 + 25/49*T^5
        - 18/49*T^4 - 23/49*T^3 + 57/49*T^2 - 10/7*T + 1
*], [*
    X^3 + 2*X*Y^7 + 3*X*Y^6 + 6*X*Y^4 + 3*X*Y^3 + 2*X*Y^2 + X*Y + 6*X + 5*Y^18 + 
        6*Y^17 + 6*Y^16 + Y^15 + 2*Y^14 + Y^13 + 5*Y^12 + 5*Y^11 + 4*Y^10 + 4*Y^9 + 
        6*Y^7 + 3*Y^6 + Y^5 + 5*Y^4 + 5*Y^3 + 3*Y + 1,
    -T^32 + 10/7*T^31 - 12/7*T^30 + 104/49*T^29 - 128/49*T^28 + 130/49*T^27 - 2*T^26
        + 66/49*T^25 - 23/49*T^24 - 43/49*T^23 + 99/49*T^22 - 111/49*T^21 + 
        20/7*T^20 - 138/49*T^19 + 16/7*T^18 - 50/49*T^17 + 50/49*T^15 - 16/7*T^14 + 
        138/49*T^13 - 20/7*T^12 + 111/49*T^11 - 99/49*T^10 + 43/49*T^9 + 23/49*T^8 -
        66/49*T^7 + 2*T^6 - 130/49*T^5 + 128/49*T^4 - 104/49*T^3 + 12/7*T^2 - 10/7*T
        + 1
*], [*
    X^3 + 2*X*Y^8 + 6*X*Y^6 + 2*X*Y^5 + X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 2*X*Y + 3*X + 
        2*Y^18 + 5*Y^17 + 5*Y^16 + 6*Y^14 + 3*Y^12 + 3*Y^11 + 6*Y^10 + 2*Y^9 + 4*Y^8
        + 4*Y^7 + Y^6 + 4*Y^5 + 4*Y^4 + Y^3 + 2*Y^2 + 6*Y + 1,
    -T^32 + 5/7*T^31 - 13/49*T^30 + 34/49*T^29 + 26/49*T^28 - 40/49*T^27 - 
        29/49*T^26 + 9/49*T^24 + 36/49*T^23 + 11/49*T^22 - 37/49*T^21 - 33/49*T^20 +
        20/49*T^19 + 10/49*T^18 + 52/49*T^17 - 52/49*T^15 - 10/49*T^14 - 20/49*T^13 
        + 33/49*T^12 + 37/49*T^11 - 11/49*T^10 - 36/49*T^9 - 9/49*T^8 + 29/49*T^6 + 
        40/49*T^5 - 26/49*T^4 - 34/49*T^3 + 13/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 5*X*Y^8 + 2*X*Y^7 + X*Y^6 + 2*X*Y^5 + 4*X*Y^4 + X*Y^3 + 2*X*Y^2 + 4*X*Y + 
        X + Y^18 + 4*Y^17 + 6*Y^16 + 5*Y^15 + 3*Y^13 + 5*Y^12 + 6*Y^11 + 4*Y^10 + 
        Y^7 + Y^6 + 2*Y^5 + 5*Y^4 + 5*Y + 4,
    T^32 + 3/7*T^31 + 5/49*T^30 - 1/7*T^29 - 10/49*T^28 - 19/49*T^27 - 16/49*T^26 + 
        3/7*T^25 + 18/49*T^24 + 29/49*T^23 - 1/7*T^22 - 12/49*T^21 - 41/49*T^20 - 
        25/49*T^19 + 8/49*T^18 + 27/49*T^17 + 62/49*T^16 + 27/49*T^15 + 8/49*T^14 - 
        25/49*T^13 - 41/49*T^12 - 12/49*T^11 - 1/7*T^10 + 29/49*T^9 + 18/49*T^8 + 
        3/7*T^7 - 16/49*T^6 - 19/49*T^5 - 10/49*T^4 - 1/7*T^3 + 5/49*T^2 + 3/7*T + 1
*], [*
    X^3 + X*Y^9 + 3*X*Y^8 + X*Y^7 + 4*X*Y^6 + X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 5*X*Y^2 + 
        2*X*Y + 3*X + 3*Y^18 + Y^17 + Y^16 + Y^15 + 2*Y^14 + 5*Y^13 + 3*Y^11 + Y^10 
        + 6*Y^9 + 6*Y^7 + 6*Y^5 + 4*Y^4 + Y^3 + 6*Y^2 + Y + 6,
    -T^32 + 11/49*T^30 - 4/49*T^29 + 41/49*T^28 + 1/7*T^27 - 24/49*T^26 + 6/49*T^25 
        + 18/49*T^24 - 27/49*T^23 + 12/49*T^22 + 15/49*T^21 - 11/49*T^20 + 2/7*T^19 
        + 16/49*T^18 - 3/7*T^17 + 3/7*T^15 - 16/49*T^14 - 2/7*T^13 + 11/49*T^12 - 
        15/49*T^11 - 12/49*T^10 + 27/49*T^9 - 18/49*T^8 - 6/49*T^7 + 24/49*T^6 - 
        1/7*T^5 - 41/49*T^4 + 4/49*T^3 - 11/49*T^2 + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 2*X*Y^5 + 2*X*Y^4 + 2*X*Y^3 + 
        4*X*Y^2 + 6*X*Y + 3*X + 6*Y^18 + Y^17 + 2*Y^14 + 2*Y^13 + 6*Y^12 + Y^11 + 
        Y^10 + 2*Y^9 + 2*Y^8 + 2*Y^7 + 6*Y^6 + 3*Y^5 + Y^4 + 4*Y^3 + 2*Y + 5,
    T^32 - 1/7*T^31 - 17/49*T^30 - 1/49*T^29 + 11/49*T^28 + 1/7*T^27 + 12/49*T^26 - 
        2/7*T^25 - 3/49*T^24 + 31/49*T^23 - 6/49*T^22 - 27/49*T^21 - 1/7*T^20 + 
        1/49*T^19 + 16/49*T^18 - 6/49*T^17 - 6/7*T^16 - 6/49*T^15 + 16/49*T^14 + 
        1/49*T^13 - 1/7*T^12 - 27/49*T^11 - 6/49*T^10 + 31/49*T^9 - 3/49*T^8 - 
        2/7*T^7 + 12/49*T^6 + 1/7*T^5 + 11/49*T^4 - 1/49*T^3 - 17/49*T^2 - 1/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 5*X*Y^8 + X*Y^7 + X*Y^6 + 3*X*Y^5 + 3*X*Y^4 + 5*X*Y^3 + 6*X*Y^2 
        + 4*Y^18 + 5*Y^17 + 6*Y^15 + Y^14 + Y^13 + Y^12 + 5*Y^11 + Y^10 + 4*Y^9 + 
        2*Y^8 + 2*Y^7 + 5*Y^6 + 2*Y^5 + 6*Y^4 + 6*Y^3 + 3*Y^2 + 3*Y + 2,
    T^32 + 10/7*T^31 - 8/49*T^30 - 13/7*T^29 - 10/7*T^28 + 17/49*T^27 + 61/49*T^26 +
        55/49*T^25 + 51/49*T^24 + 8/7*T^23 + 18/49*T^22 - 54/49*T^21 - 106/49*T^20 -
        93/49*T^19 - 4/49*T^18 + 104/49*T^17 + 146/49*T^16 + 104/49*T^15 - 4/49*T^14
        - 93/49*T^13 - 106/49*T^12 - 54/49*T^11 + 18/49*T^10 + 8/7*T^9 + 51/49*T^8 +
        55/49*T^7 + 61/49*T^6 + 17/49*T^5 - 10/7*T^4 - 13/7*T^3 - 8/49*T^2 + 10/7*T 
        + 1
*], [*
    X^3 + X*Y^9 + 4*X*Y^8 + 2*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 3*X*Y^3 + 6*X*Y^2 + 5*X*Y 
        + 4*X + 5*Y^18 + 2*Y^17 + 5*Y^16 + 4*Y^15 + 2*Y^14 + Y^13 + 5*Y^12 + 5*Y^10 
        + Y^9 + 6*Y^8 + 2*Y^7 + 3*Y^6 + 4*Y^5 + Y^4 + 6,
    T^32 + 11/7*T^31 + 36/49*T^30 - 3/7*T^29 - 24/49*T^28 - 25/49*T^27 - 67/49*T^26 
        - 59/49*T^25 + 25/49*T^24 + 71/49*T^23 + 36/49*T^22 + 25/49*T^21 + 
        32/49*T^20 - 44/49*T^18 - 26/49*T^17 - 1/49*T^16 - 26/49*T^15 - 44/49*T^14 +
        32/49*T^12 + 25/49*T^11 + 36/49*T^10 + 71/49*T^9 + 25/49*T^8 - 59/49*T^7 - 
        67/49*T^6 - 25/49*T^5 - 24/49*T^4 - 3/7*T^3 + 36/49*T^2 + 11/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 4*X*Y^8 + 4*X*Y^7 + 2*X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 2*X*Y^3 + 
        5*X*Y^2 + 5*X*Y + 3*X + 4*Y^18 + 4*Y^16 + 4*Y^13 + 2*Y^12 + 5*Y^10 + 3*Y^9 +
        2*Y^8 + 4*Y^7 + 2*Y^6 + 5*Y^4 + 3*Y^3 + 6*Y^2 + 6*Y,
    T^32 + 2/7*T^31 + 8/49*T^30 + 59/49*T^29 + 57/49*T^28 + 1/7*T^27 + 19/49*T^26 + 
        38/49*T^25 + 19/49*T^24 - 2/49*T^23 - 5/49*T^22 - 4/49*T^21 + 1/49*T^20 + 
        1/7*T^19 - T^18 - 5/7*T^17 + 34/49*T^16 - 5/7*T^15 - T^14 + 1/7*T^13 + 
        1/49*T^12 - 4/49*T^11 - 5/49*T^10 - 2/49*T^9 + 19/49*T^8 + 38/49*T^7 + 
        19/49*T^6 + 1/7*T^5 + 57/49*T^4 + 59/49*T^3 + 8/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 6*X*Y^9 + 2*X*Y^8 + X*Y^7 + 6*X*Y^6 + 3*X*Y^5 + 3*X*Y^3 + X*Y^2 + X*Y + 
        3*X + 5*Y^18 + 3*Y^17 + 4*Y^16 + 4*Y^15 + 6*Y^14 + Y^13 + 2*Y^12 + 3*Y^10 + 
        2*Y^9 + 2*Y^8 + 2*Y^7 + 2*Y^6 + 3*Y^4 + 5*Y^3 + Y^2 + 6*Y + 6,
    -T^32 - 2/7*T^31 - 8/49*T^30 + 6/49*T^29 - 20/49*T^28 - 18/49*T^27 - 29/49*T^26 
        - 18/49*T^25 - 4/7*T^24 - 6/49*T^23 - 2/7*T^22 - 11/49*T^21 - 3/7*T^20 - 
        19/49*T^19 + 8/49*T^18 - 13/49*T^17 + 13/49*T^15 - 8/49*T^14 + 19/49*T^13 + 
        3/7*T^12 + 11/49*T^11 + 2/7*T^10 + 6/49*T^9 + 4/7*T^8 + 18/49*T^7 + 
        29/49*T^6 + 18/49*T^5 + 20/49*T^4 - 6/49*T^3 + 8/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^8 + X*Y^7 + 2*X*Y^6 + 5*X*Y^5 + 4*X*Y^4 + 6*X*Y^3 + 3*X*Y^2 + 3*X*Y 
        + 3*Y^18 + 6*Y^17 + 2*Y^15 + 3*Y^14 + 3*Y^13 + 5*Y^12 + 6*Y^10 + 6*Y^9 + 
        4*Y^8 + 5*Y^7 + 3*Y^6 + 5*Y^5 + 2*Y^4 + 5*Y^2 + 5*Y + 2,
    -T^32 + 17/7*T^31 - 24/7*T^30 + 176/49*T^29 - 120/49*T^28 + 46/49*T^27 + 
        15/49*T^26 - 53/49*T^25 + 36/49*T^24 + 22/49*T^23 - 85/49*T^22 + 106/49*T^21
        - 71/49*T^20 + 2/7*T^19 + 33/49*T^18 - 29/49*T^17 + 29/49*T^15 - 33/49*T^14 
        - 2/7*T^13 + 71/49*T^12 - 106/49*T^11 + 85/49*T^10 - 22/49*T^9 - 36/49*T^8 +
        53/49*T^7 - 15/49*T^6 - 46/49*T^5 + 120/49*T^4 - 176/49*T^3 + 24/7*T^2 - 
        17/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 5*X*Y^7 + 6*X*Y^5 + 2*X*Y^4 + 6*X*Y^3 + 2*X*Y^2 + 4*X*Y 
        + Y^18 + Y^16 + 5*Y^15 + 3*Y^14 + Y^13 + 2*Y^12 + 3*Y^11 + 3*Y^9 + 2*Y^8 + 
        3*Y^6 + 4*Y^5 + 2*Y^4 + 5*Y^3 + 2*Y^2 + 4*Y + 5,
    -T^32 + 8/7*T^31 - 46/49*T^30 + 1/7*T^29 + 2/49*T^28 + 4/49*T^27 + 1/49*T^26 - 
        18/49*T^25 + 3/7*T^24 - 40/49*T^23 + 33/49*T^22 - 11/49*T^21 - 1/7*T^20 + 
        16/49*T^19 - 12/49*T^18 + 11/49*T^17 - 11/49*T^15 + 12/49*T^14 - 16/49*T^13 
        + 1/7*T^12 + 11/49*T^11 - 33/49*T^10 + 40/49*T^9 - 3/7*T^8 + 18/49*T^7 - 
        1/49*T^6 - 4/49*T^5 - 2/49*T^4 - 1/7*T^3 + 46/49*T^2 - 8/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 2*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 2*X*Y^3 + 
        X*Y^2 + 2*X*Y + X + 6*Y^18 + 4*Y^17 + 4*Y^16 + 6*Y^14 + 3*Y^12 + 4*Y^10 + 
        Y^9 + 6*Y^8 + 6*Y^7 + 5*Y^6 + 6*Y^5 + 5*Y^4 + 5*Y^3 + 5*Y^2 + 6*Y + 3,
    T^32 + 11/7*T^31 + 65/49*T^30 + 6/7*T^29 - 5/49*T^28 - 37/49*T^27 - 4/7*T^26 - 
        38/49*T^25 - 43/49*T^24 - 8/49*T^23 - 1/49*T^22 + 18/49*T^21 + T^20 + 
        44/49*T^19 + 25/49*T^18 - 8/49*T^17 - 41/49*T^16 - 8/49*T^15 + 25/49*T^14 + 
        44/49*T^13 + T^12 + 18/49*T^11 - 1/49*T^10 - 8/49*T^9 - 43/49*T^8 - 
        38/49*T^7 - 4/7*T^6 - 37/49*T^5 - 5/49*T^4 + 6/7*T^3 + 65/49*T^2 + 11/7*T + 
        1
*], [*
    X^3 + 2*X*Y^9 + 3*X*Y^8 + X*Y^7 + 4*X*Y^6 + 6*X*Y^5 + 4*X*Y^2 + X*Y + 2*X + 
        6*Y^18 + 2*Y^17 + 4*Y^15 + 2*Y^14 + 4*Y^13 + 5*Y^12 + 2*Y^11 + 2*Y^10 + 
        2*Y^9 + 2*Y^7 + 5*Y^6 + 6*Y^5 + 3*Y^4 + 4*Y^3 + Y^2 + 3*Y,
    -T^32 + 2/7*T^31 - 2/49*T^30 + 18/49*T^29 + 4/49*T^28 - 1/49*T^27 - 30/49*T^26 +
        1/49*T^25 + 36/49*T^24 - 23/49*T^23 + 6/7*T^22 + 8/49*T^21 + 1/49*T^20 - 
        11/49*T^19 + 25/49*T^18 - 22/49*T^17 + 22/49*T^15 - 25/49*T^14 + 11/49*T^13 
        - 1/49*T^12 - 8/49*T^11 - 6/7*T^10 + 23/49*T^9 - 36/49*T^8 - 1/49*T^7 + 
        30/49*T^6 + 1/49*T^5 - 4/49*T^4 - 18/49*T^3 + 2/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + X*Y^6 + 2*X*Y^4 + 2*X*Y^3 + 6*X*Y^2 + X*Y + 5*X + 5*Y^18
        + 4*Y^17 + 6*Y^16 + 2*Y^15 + 5*Y^12 + 4*Y^11 + 6*Y^10 + 6*Y^9 + 4*Y^8 + 
        5*Y^7 + 5*Y^6 + 4*Y^5 + Y^4 + 5*Y^3 + 3*Y^2 + 6*Y + 5,
    -T^32 - 5/7*T^31 + 41/49*T^30 + 4/7*T^29 - 17/49*T^28 + 1/7*T^27 + 8/49*T^26 - 
        22/49*T^25 - 41/49*T^24 - 24/49*T^23 + 29/49*T^21 + 2/7*T^20 - 22/49*T^19 - 
        4/49*T^18 + 22/49*T^17 - 22/49*T^15 + 4/49*T^14 + 22/49*T^13 - 2/7*T^12 - 
        29/49*T^11 + 24/49*T^9 + 41/49*T^8 + 22/49*T^7 - 8/49*T^6 - 1/7*T^5 + 
        17/49*T^4 - 4/7*T^3 - 41/49*T^2 + 5/7*T + 1
*], [*
    X^3 + X*Y^8 + 5*X*Y^7 + 4*X*Y^6 + X*Y^5 + 3*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + 5*X*Y + 
        6*X + 6*Y^18 + 5*Y^17 + 3*Y^16 + 3*Y^15 + 3*Y^14 + 6*Y^13 + 5*Y^12 + Y^11 + 
        6*Y^10 + Y^9 + 4*Y^8 + 6*Y^7 + 5*Y^6 + 5*Y^5 + 6*Y^4 + 6*Y^2 + 4*Y + 4,
    -T^32 + 2/7*T^31 + 38/49*T^30 - 3/49*T^29 - 20/49*T^28 + 47/49*T^27 + 3/7*T^26 -
        43/49*T^25 - 15/49*T^24 + 2/7*T^23 - 17/49*T^22 - 10/49*T^21 + 3/7*T^20 + 
        3/49*T^19 + 16/49*T^17 - 16/49*T^15 - 3/49*T^13 - 3/7*T^12 + 10/49*T^11 + 
        17/49*T^10 - 2/7*T^9 + 15/49*T^8 + 43/49*T^7 - 3/7*T^6 - 47/49*T^5 + 
        20/49*T^4 + 3/49*T^3 - 38/49*T^2 - 2/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 5*X*Y^8 + 3*X*Y^7 + X*Y^6 + X*Y^5 + 2*X*Y^3 + 3*X*Y + 5*X + Y^18
        + 3*Y^17 + 3*Y^16 + 4*Y^15 + Y^14 + 3*Y^13 + 6*Y^12 + 6*Y^11 + 5*Y^10 + 
        4*Y^9 + Y^8 + 2*Y^7 + 3*Y^6 + 2*Y^5 + 3*Y^4 + 4*Y^3 + Y^2 + 4*Y + 6,
    T^32 + 1/7*T^31 - 67/49*T^30 - 2/7*T^29 + 27/49*T^28 - 43/49*T^27 - 15/49*T^26 +
        74/49*T^25 + 45/49*T^24 - 5/49*T^23 - 27/49*T^22 - 47/49*T^21 + 3/49*T^20 + 
        18/49*T^19 - 64/49*T^18 + 10/49*T^17 + 107/49*T^16 + 10/49*T^15 - 64/49*T^14
        + 18/49*T^13 + 3/49*T^12 - 47/49*T^11 - 27/49*T^10 - 5/49*T^9 + 45/49*T^8 + 
        74/49*T^7 - 15/49*T^6 - 43/49*T^5 + 27/49*T^4 - 2/7*T^3 - 67/49*T^2 + 1/7*T 
        + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^7 + X*Y^6 + X*Y^5 + 6*X*Y^4 + 3*X*Y^3 + 6*X*Y^2 + 5*X*Y + 
        4*Y^18 + 6*Y^17 + 5*Y^16 + 5*Y^14 + 2*Y^13 + 4*Y^12 + 3*Y^11 + 6*Y^10 + 
        5*Y^9 + 2*Y^8 + 3*Y^7 + 5*Y^6 + 2*Y^5 + 5*Y^4 + 3*Y^3 + 4*Y^2 + 3,
    -T^32 - 1/7*T^31 + 10/49*T^30 - 9/49*T^29 - 5/49*T^28 + 20/49*T^27 + 22/49*T^26 
        + 2/7*T^25 - 13/49*T^24 + 15/49*T^23 + 11/49*T^22 - 23/49*T^21 - 2/7*T^20 + 
        25/49*T^19 - 10/49*T^18 - 3/49*T^17 + 3/49*T^15 + 10/49*T^14 - 25/49*T^13 + 
        2/7*T^12 + 23/49*T^11 - 11/49*T^10 - 15/49*T^9 + 13/49*T^8 - 2/7*T^7 - 
        22/49*T^6 - 20/49*T^5 + 5/49*T^4 + 9/49*T^3 - 10/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + X*Y^8 + 6*X*Y^6 + X*Y^5 + 6*X*Y^4 + 4*X*Y^3 + X*Y^2 + 2*X + 
        6*Y^18 + 5*Y^17 + 4*Y^16 + 5*Y^15 + 5*Y^13 + 6*Y^12 + 3*Y^11 + 4*Y^9 + 2*Y^8
        + Y^7 + Y^6 + 4*Y^5 + 3*Y^4 + Y^3 + Y^2 + Y + 3,
    T^32 + T^31 + 4/7*T^30 - 8/7*T^29 - 15/7*T^28 - 47/49*T^27 + 61/49*T^26 + 
        123/49*T^25 + 8/7*T^24 - 86/49*T^23 - 150/49*T^22 - 10/7*T^21 + 106/49*T^20 
        + 188/49*T^19 + 81/49*T^18 - 101/49*T^17 - 216/49*T^16 - 101/49*T^15 + 
        81/49*T^14 + 188/49*T^13 + 106/49*T^12 - 10/7*T^11 - 150/49*T^10 - 86/49*T^9
        + 8/7*T^8 + 123/49*T^7 + 61/49*T^6 - 47/49*T^5 - 15/7*T^4 - 8/7*T^3 + 
        4/7*T^2 + T + 1
*], [*
    X^3 + 4*X*Y^9 + 6*X*Y^8 + 4*X*Y^7 + 6*X*Y^5 + 5*X*Y^4 + 5*X*Y^2 + 6*X*Y + 3*X + 
        3*Y^18 + Y^17 + 3*Y^16 + 4*Y^14 + 6*Y^13 + 3*Y^12 + 2*Y^11 + 4*Y^10 + 2*Y^9 
        + 2*Y^8 + 6*Y^7 + Y^6 + 5*Y^5 + Y^4 + 2*Y^3 + 6*Y^2 + 6*Y + 2,
    -T^32 - 2/7*T^31 + 12/49*T^30 - 11/49*T^29 + 34/49*T^28 + 20/49*T^27 + 2/49*T^26
        - 43/49*T^25 - 13/49*T^24 + 30/49*T^23 - 15/49*T^22 + 19/49*T^21 + 
        31/49*T^20 - 22/49*T^19 - 19/49*T^18 + 12/49*T^17 - 12/49*T^15 + 19/49*T^14 
        + 22/49*T^13 - 31/49*T^12 - 19/49*T^11 + 15/49*T^10 - 30/49*T^9 + 13/49*T^8 
        + 43/49*T^7 - 2/49*T^6 - 20/49*T^5 - 34/49*T^4 + 11/49*T^3 - 12/49*T^2 + 
        2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + 3*X*Y^8 + 2*X*Y^7 + 4*X*Y^6 + X*Y^5 + 3*X*Y^4 + 4*X*Y^3 + 
        6*X*Y^2 + 4*X*Y + 5*Y^18 + 6*Y^17 + Y^16 + 2*Y^15 + 5*Y^14 + 2*Y^13 + 2*Y^12
        + 5*Y^11 + 4*Y^9 + 3*Y^8 + 2*Y^7 + 6*Y^6 + 6*Y^5 + 6*Y^4 + Y^2 + 5*Y + 2,
    -T^32 + 3/7*T^31 - 36/49*T^29 + 5/49*T^28 - 10/49*T^27 - 8/49*T^26 - 25/49*T^25 
        - 1/49*T^24 + 16/49*T^23 - 11/49*T^22 - 6/49*T^21 + 24/49*T^20 - 6/49*T^19 -
        12/49*T^18 + 12/49*T^17 - 12/49*T^15 + 12/49*T^14 + 6/49*T^13 - 24/49*T^12 +
        6/49*T^11 + 11/49*T^10 - 16/49*T^9 + 1/49*T^8 + 25/49*T^7 + 8/49*T^6 + 
        10/49*T^5 - 5/49*T^4 + 36/49*T^3 - 3/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 5*X*Y^7 + 2*X*Y^6 + 4*X*Y^5 + 4*X*Y^3 + 2*X*Y^2 + 
        6*X*Y + 2*Y^18 + 5*Y^17 + 2*Y^16 + 6*Y^15 + 4*Y^14 + 6*Y^13 + Y^12 + 2*Y^10 
        + 2*Y^9 + 6*Y^8 + 4*Y^7 + Y^6 + 4*Y^5 + 3*Y^4 + 4*Y + 2,
    -T^32 - 1/7*T^31 + 11/49*T^30 + 38/49*T^29 + 23/49*T^28 - 60/49*T^27 - 6/49*T^26
        - 1/49*T^25 + 48/49*T^24 + 48/49*T^23 - 32/49*T^22 - 32/49*T^21 - 43/49*T^20
        + 6/49*T^19 + 31/49*T^18 + 1/7*T^17 - 1/7*T^15 - 31/49*T^14 - 6/49*T^13 + 
        43/49*T^12 + 32/49*T^11 + 32/49*T^10 - 48/49*T^9 - 48/49*T^8 + 1/49*T^7 + 
        6/49*T^6 + 60/49*T^5 - 23/49*T^4 - 38/49*T^3 - 11/49*T^2 + 1/7*T + 1
*], [*
    X^3 + 3*X*Y^9 + 3*X*Y^8 + 4*X*Y^7 + X*Y^6 + 6*X*Y^5 + 4*X*Y^4 + 5*X*Y + X + 
        3*Y^18 + Y^17 + 3*Y^16 + 4*Y^15 + Y^14 + 3*Y^13 + 3*Y^12 + 3*Y^11 + 3*Y^10 +
        3*Y^9 + 4*Y^8 + 6*Y^7 + Y^6 + 2*Y^5 + 2*Y^4 + 4*Y^3 + 2*Y^2 + Y + 3,
    T^32 + 2/7*T^31 - 48/49*T^30 - 8/7*T^29 - 2/49*T^28 + 88/49*T^27 + 65/49*T^26 - 
        17/49*T^25 - 122/49*T^24 - 62/49*T^23 + 93/49*T^22 + 153/49*T^21 + 6/49*T^20
        - 155/49*T^19 - 99/49*T^18 + 59/49*T^17 + 24/7*T^16 + 59/49*T^15 - 
        99/49*T^14 - 155/49*T^13 + 6/49*T^12 + 153/49*T^11 + 93/49*T^10 - 62/49*T^9 
        - 122/49*T^8 - 17/49*T^7 + 65/49*T^6 + 88/49*T^5 - 2/49*T^4 - 8/7*T^3 - 
        48/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 4*X*Y^9 + X*Y^8 + 4*X*Y^5 + 2*X*Y^4 + 4*X*Y^3 + 2*X*Y^2 + X + 2*Y^18 + 
        4*Y^17 + 5*Y^16 + 6*Y^15 + 6*Y^14 + Y^13 + 3*Y^12 + 2*Y^11 + 3*Y^10 + 3*Y^9 
        + 2*Y^8 + 2*Y^7 + 4*Y^6 + 3*Y^5 + 5*Y^4 + 6*Y^2 + 3*Y + 6,
    T^32 - 3/49*T^30 + 50/49*T^29 + 2/7*T^28 + 10/49*T^27 - 10/49*T^26 + 37/49*T^24 
        - 20/49*T^23 - 2/49*T^22 + 12/49*T^21 + 3/49*T^20 + 15/49*T^19 - 43/49*T^18 
        - 27/49*T^17 + 26/49*T^16 - 27/49*T^15 - 43/49*T^14 + 15/49*T^13 + 3/49*T^12
        + 12/49*T^11 - 2/49*T^10 - 20/49*T^9 + 37/49*T^8 - 10/49*T^6 + 10/49*T^5 + 
        2/7*T^4 + 50/49*T^3 - 3/49*T^2 + 1
*], [*
    X^3 + 4*X*Y^9 + 2*X*Y^8 + 3*X*Y^6 + 6*X*Y^5 + X*Y^4 + 2*X*Y^3 + 4*X + 4*Y^18 + 
        Y^17 + 4*Y^15 + Y^14 + 6*Y^13 + 5*Y^12 + Y^11 + 2*Y^10 + Y^9 + 2*Y^8 + 4*Y^7
        + 3*Y^6 + 6*Y^5 + Y^4 + 3*Y^3 + 6*Y^2 + 4*Y + 1,
    T^32 + 4/7*T^31 + 6/7*T^30 + 1/7*T^29 - 43/49*T^28 - 74/49*T^27 - 100/49*T^26 - 
        10/7*T^25 - 23/49*T^24 + 5/7*T^23 + 115/49*T^22 + 17/7*T^21 + 99/49*T^20 + 
        44/49*T^19 - 57/49*T^18 - 97/49*T^17 - 144/49*T^16 - 97/49*T^15 - 57/49*T^14
        + 44/49*T^13 + 99/49*T^12 + 17/7*T^11 + 115/49*T^10 + 5/7*T^9 - 23/49*T^8 - 
        10/7*T^7 - 100/49*T^6 - 74/49*T^5 - 43/49*T^4 + 1/7*T^3 + 6/7*T^2 + 4/7*T + 
        1
*], [*
    X^3 + X*Y^9 + 6*X*Y^7 + 3*X*Y^6 + 3*X*Y^5 + 6*X*Y^4 + 3*X*Y^2 + X*Y + 4*X + 
        5*Y^18 + 4*Y^17 + 6*Y^16 + 2*Y^15 + 2*Y^14 + 4*Y^13 + 5*Y^12 + 6*Y^10 + 
        5*Y^9 + 4*Y^8 + 6*Y^6 + Y^5 + 5*Y^4 + 3*Y^3 + 2*Y^2 + 6*Y + 6,
    T^32 - 5/7*T^31 + 3/49*T^30 - 9/49*T^29 - 22/49*T^28 + 67/49*T^27 - 25/49*T^26 +
        38/49*T^25 - 37/49*T^24 - 6/49*T^23 + 30/49*T^22 - 45/49*T^21 + T^20 - 
        3/49*T^19 + 4/49*T^18 + 2/7*T^17 - 44/49*T^16 + 2/7*T^15 + 4/49*T^14 - 
        3/49*T^13 + T^12 - 45/49*T^11 + 30/49*T^10 - 6/49*T^9 - 37/49*T^8 + 
        38/49*T^7 - 25/49*T^6 + 67/49*T^5 - 22/49*T^4 - 9/49*T^3 + 3/49*T^2 - 5/7*T 
        + 1
*], [*
    X^3 + 2*X*Y^9 + X*Y^8 + 3*X*Y^7 + 3*X*Y^6 + 5*X*Y^5 + 3*X*Y^4 + X*Y^3 + 5*X*Y^2 
        + 2*X + 4*Y^18 + 3*Y^17 + 2*Y^16 + 6*Y^15 + Y^14 + 4*Y^13 + 5*Y^12 + 4*Y^11 
        + 3*Y^10 + 6*Y^9 + 3*Y^8 + 5*Y^7 + 6*Y^6 + 3*Y^5 + 4*Y^4 + 5*Y^3 + 2*Y^2 + 
        5*Y + 1,
    -T^32 - 2/7*T^31 + 6/49*T^30 + 1/7*T^29 + 19/49*T^28 - 27/49*T^27 - 6/49*T^26 + 
        12/49*T^25 + 4/7*T^24 + 5/49*T^23 + 3/49*T^22 - 4/49*T^21 - 1/49*T^20 + 
        41/49*T^19 - 1/7*T^18 + 10/49*T^17 - 10/49*T^15 + 1/7*T^14 - 41/49*T^13 + 
        1/49*T^12 + 4/49*T^11 - 3/49*T^10 - 5/49*T^9 - 4/7*T^8 - 12/49*T^7 + 
        6/49*T^6 + 27/49*T^5 - 19/49*T^4 - 1/7*T^3 - 6/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 3*X*Y^8 + 4*X*Y^7 + 5*X*Y^6 + 2*X*Y^4 + 3*X*Y^2 + 2*X*Y + 5*X + 6*Y^18 + 
        Y^17 + Y^16 + 4*Y^15 + 6*Y^14 + 5*Y^13 + 2*Y^12 + 2*Y^11 + 6*Y^10 + 2*Y^9 + 
        4*Y^8 + 3*Y^7 + 2*Y^6 + 6*Y^5 + 4*Y^4 + 4*Y^3 + 5*Y^2 + 4,
    -T^32 - 2/7*T^31 + 38/49*T^30 - 2/49*T^29 - 47/49*T^28 + 27/49*T^27 + 6/49*T^26 
        - 32/49*T^25 + 4/7*T^24 + 5/7*T^23 - 6/7*T^22 + 16/49*T^21 + 67/49*T^20 - 
        9/49*T^19 - 34/49*T^18 + 18/49*T^17 - 18/49*T^15 + 34/49*T^14 + 9/49*T^13 - 
        67/49*T^12 - 16/49*T^11 + 6/7*T^10 - 5/7*T^9 - 4/7*T^8 + 32/49*T^7 - 
        6/49*T^6 - 27/49*T^5 + 47/49*T^4 + 2/49*T^3 - 38/49*T^2 + 2/7*T + 1
*], [*
    X^3 + 5*X*Y^9 + 5*X*Y^8 + 5*X*Y^7 + 3*X*Y^6 + 4*X*Y^5 + 2*X*Y^4 + X*Y^3 + 
        5*X*Y^2 + 3*X*Y + X + 3*Y^18 + Y^16 + 5*Y^14 + 6*Y^13 + 2*Y^12 + 5*Y^11 + 
        5*Y^10 + 2*Y^9 + 2*Y^8 + 4*Y^7 + 2*Y^6 + 4*Y^5 + 2*Y^4 + 5*Y^3,
    -T^32 + 5/7*T^31 + 54/49*T^30 - 22/49*T^29 + 6/49*T^28 - 17/49*T^27 - 55/49*T^26
        + 1/49*T^25 + T^24 + 5/7*T^23 + 11/49*T^22 - 38/49*T^21 - 57/49*T^20 + 
        20/49*T^19 + 31/49*T^18 + 31/49*T^17 - 31/49*T^15 - 31/49*T^14 - 20/49*T^13 
        + 57/49*T^12 + 38/49*T^11 - 11/49*T^10 - 5/7*T^9 - T^8 - 1/49*T^7 + 
        55/49*T^6 + 17/49*T^5 - 6/49*T^4 + 22/49*T^3 - 54/49*T^2 - 5/7*T + 1
*], [*
    X^3 + 2*X*Y^8 + 2*X*Y^7 + 6*X*Y^5 + 2*X*Y^4 + X*Y^2 + 2*X*Y + 3*X + 5*Y^18 + 
        5*Y^17 + 4*Y^16 + 3*Y^15 + Y^14 + 6*Y^13 + 3*Y^12 + 4*Y^10 + 6*Y^9 + 5*Y^8 +
        5*Y^7 + 2*Y^6 + 2*Y^5 + 2*Y^4 + 4*Y^3 + Y^2 + 6*Y + 3,
    -T^32 + 1/7*T^31 + 54/49*T^30 + 19/49*T^29 - 2/7*T^28 - 24/49*T^27 - 9/49*T^26 -
        22/49*T^25 + 34/49*T^24 + 41/49*T^23 - 23/49*T^22 - 39/49*T^21 + 2/49*T^20 -
        9/49*T^19 + 29/49*T^18 + 57/49*T^17 - 57/49*T^15 - 29/49*T^14 + 9/49*T^13 - 
        2/49*T^12 + 39/49*T^11 + 23/49*T^10 - 41/49*T^9 - 34/49*T^8 + 22/49*T^7 + 
        9/49*T^6 + 24/49*T^5 + 2/7*T^4 - 19/49*T^3 - 54/49*T^2 - 1/7*T + 1
*] ];
