/*
Generated by Allan Steel in Magma, 2010.

Field defining polynomial: x^4 + x^3 + x^2 + x + 1 [Q(zeta_5)]
Schur index 2 (character field degree 2).

Traces:    [ 0, -2 ]
Density:   [ 0.79283006, 0.073779586 ]
Numer max: [ 672, 16 ]
Numer av:  [ 6.6202096, 0.066400471 ]
Denom max: [ 100, 1 ], [ [ <2, 2>, <5, 2> ], [] ]
Denom LCM: [ 100, 1 ], [ [ <2, 2>, <5, 2> ], [] ]

Character:
( 208, -208, 0, 4, -2, 0, 0, 0, -20*zeta(5)_5^3 - 20*zeta(5)_5^2 - 2, 
    20*zeta(5)_5^3 + 20*zeta(5)_5^2 + 18, -7, -2, zeta(5)_5^3 + zeta(5)_5^2 + 1,
    -zeta(5)_5^3 - zeta(5)_5^2, 6, -4, 2, -6, 0, 0, -20*zeta(5)_5^3 -
    20*zeta(5)_5^2 - 18, 20*zeta(5)_5^3 + 20*zeta(5)_5^2 + 2, 7,
    -4*zeta(5)_5^3 - 4*zeta(5)_5^2 - 2, 4*zeta(5)_5^3 + 4*zeta(5)_5^2 +
    2, 4*zeta(5)_5^3 + 4*zeta(5)_5^2 + 2, -4*zeta(5)_5^3 - 4*zeta(5)_5^2
    - 2, 2, 2*zeta(5)_5^3 + 2*zeta(5)_5^2 + 1, 0, -2*zeta(5)_5^3 -
    2*zeta(5)_5^2 - 1, 0, -zeta(5)_5^3 - zeta(5)_5^2 - 1, zeta(5)_5^3 +
    zeta(5)_5^2, 0, 0, 0, 0, 0, 0, -zeta(5)_5^3 - zeta(5)_5^2, zeta(5)_5^3
    + zeta(5)_5^2 + 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -zeta(5)_5^3 -
    zeta(5)_5^2 - 1, zeta(5)_5^3 + zeta(5)_5^2, zeta(5)_5^3 + zeta(5)_5^2
    + 2, -zeta(5)_5^3 - zeta(5)_5^2 - 2, -zeta(5)_5^3 - zeta(5)_5^2 +
    1, zeta(5)_5^3 + zeta(5)_5^2 - 1, 1 )
*/

G := PermutationGroup(ATLASGroup("2S45"));
M :=
GModule(G, [
    Matrix(K, 208, 208,
        [ [ -1/20, 1/20, -1/20, 0 ], [ 0, -1/10, 0, 0 ], [ -1/10, -1/10, 0, 1/20
        ], [ 1/20, -1/20, 0, -3/20 ], [ -1/20, 0, 0, 0 ], [ -1/10, 1/20, -3/20, 
        0 ], [ 1/20, 1/10, 1/10, 1/20 ], [ 1/20, 0, 1/10, 1/10 ], [ 0, 1/10, 
        1/20, 1/20 ], [ 0, 0, -1/20, -1/10 ], [ 0, 0, 0, 1/20 ], [ 1/20, -1/20, 
        0, -1/10 ], [ 1/20, 0, 0, 0 ], [ 0, 1/10, 1/20, 1/10 ], [ 3/20, 1/10, 
        1/20, -1/20 ], [ 1/20, 1/20, 0, 0 ], [ -1/20, -1/20, -1/20, 0 ], [ 1/20,
        -1/20, 1/20, -1/20 ], [ 1/10, 3/20, 1/10, -1/20 ], [ 0, -1/20, 1/10, 
        1/20 ], [ 0, 0, 0, 0 ], [ -1/10, -1/10, -1/20, 1/20 ], [ 0, 0, 0, 0 ], [
        0, 0, 0, 0 ], [ 0, 0, 1/20, -1/20 ], [ 1/20, 1/20, 0, 0 ], [ 0, 0, 0, 
        -1/20 ], [ 0, 0, 0, -1/20 ], [ -1/20, -1/10, -1/20, 0 ], [ 1/20, 0, 0, 0
        ], [ 5/4, 1/4, 1/4, 5/4 ], [ -5/4, -1/4, -1/2, -3/4 ], [ -1/2, 1/4, 
        -1/2, -1/4 ], [ 0, 1/4, -1/2, 1/4 ], [ -1/4, 1/4, 1/4, -1/4 ], [ 1/4, 
        -1/4, 0, -1/4 ], [ -1/2, 0, -1/4, 0 ], [ -1/2, -1/2, -3/4, 0 ], [ -3/4, 
        -1/2, 0, -1/2 ], [ 0, -1/4, 0, -1/2 ], [ -2/5, -4/5, 0, 2/5 ], [ -2/5, 
        0, 0, 0 ], [ 2/5, 4/5, 2/5, 8/5 ], [ -2/5, 6/5, 8/5, 8/5 ], [ -6/5, 
        -2/5, -8/5, -4/5 ], [ 4/5, -2/5, -4/5, 0 ], [ 0, -2/5, 6/5, 4/5 ], [ 0, 
        -2/5, -2/5, 2/5 ], [ 2/5, 0, 2/5, -2/5 ], [ 0, 0, 2/5, -2/5 ], [ 0, 2/5,
        4/5, 0 ], [ 2/5, 0, 0, 4/5 ], [ 4/5, 2/5, 2/5, 2/5 ], [ 0, -6/5, -2/5, 
        -4/5 ], [ 2/5, 2/5, 4/5, 4/5 ], [ 2/5, -4/5, -2/5, -4/5 ], [ 0, 2/5, 
        -2/5, 0 ], [ 2/5, -2/5, -2/5, -2/5 ], [ 0, 2/5, 4/5, 2/5 ], [ -2/5, 0, 
        -2/5, 0 ], [ 11/5, 8/5, 23/20, 2/5 ], [ -61/100, -1/2, -71/50, -37/100 
        ], [ 99/100, -19/20, 47/25, -57/100 ], [ -1/25, 1/5, 7/100, 11/50 ], [ 
        153/100, 0, 103/50, -1/25 ], [ -18/25, 3/5, -17/50, -9/100 ], [ -17/100,
        1/20, -1/25, 1/100 ], [ 0, -11/5, 3/5, -4/5 ], [ -19/100, -3/20, 
        -13/100, -13/100 ], [ 101/100, -2/5, -13/100, -73/100 ], [ -7/25, 1/5, 
        1/25, -23/50 ], [ -71/100, -4/5, -167/100, -18/25 ], [ 1/5, 1/20, -1/5, 
        1/20 ], [ 19/100, 0, -7/100, 2/25 ], [ 119/100, 3/10, 22/25, -27/100 ], 
        [ 23/100, 39/20, 1/100, 29/25 ], [ 13/100, 0, -9/100, 11/100 ], [ 1/50, 
        3/20, 9/100, 1/25 ], [ 32/25, 3/20, 121/100, 33/50 ], [ 0, 3/20, -3/20, 
        3/20 ], [ 3/20, 0, 0, 3/10 ], [ -57/100, 0, -29/100, -29/100 ], [ 0, 0, 
        3/20, -3/20 ], [ -1/25, 3/20, -2/25, 1/50 ], [ 7/50, -9/20, -7/100, 
        93/100 ], [ 1/50, -3/20, 19/100, -11/100 ], [ -1/100, -2/5, -1/50, 
        -7/100 ], [ 9/100, 3/20, -1/50, 7/25 ], [ -1/50, 0, -1/25, -1/25 ], [ 
        -3/100, -1/20, 1/25, -1/100 ], [ -17/100, 3/20, -19/100, 3/50 ], [ 
        -9/50, -3/20, -11/100, -13/50 ], [ 9/100, 0, -1/50, 13/100 ], [ 3/20, 0,
        0, 0 ], [ 9/100, 1/5, 13/100, 13/100 ], [ -1/25, 0, 1/50, 1/50 ], [ 
        13/50, 1/20, 17/100, 11/50 ], [ 51/100, 19/20, 11/50, -7/25 ], [ 13/100,
        3/5, 4/25, 71/100 ], [ 1/50, 0, 1/25, 1/25 ], [ 0, -9/20, 1/20, -9/20 ],
        [ 21/100, 3/4, 47/100, -2/25 ], [ 7/10, -11/20, 1/5, 23/20 ], [ 149/100,
        23/20, 83/100, 22/25 ], [ 1/50, 7/10, 19/100, -101/100 ], [ -7/25, -1/2,
        -11/100, 17/50 ], [ -7/25, -1/20, -21/100, -4/25 ], [ -13/25, -2/5, 
        -6/25, -29/100 ], [ 1/50, 3/20, 9/100, 9/100 ], [ -7/25, 1/20, -11/100, 
        -51/100 ], [ -1/10, 1/10, 1/20, 1/20 ], [ 11/100, 0, -13/100, 1/50 ], [ 
        -1/25, 0, -13/100, -2/25 ], [ 3/50, 9/20, -23/100, -7/25 ], [ 19/100, 
        3/20, 2/25, 7/25 ], [ 9/20, 3/5, 1/5, 3/10 ], [ -11/100, 1/10, -17/100, 
        2/25 ], [ -21/100, 1/20, -17/100, -3/25 ], [ 2/25, -1/20, -9/100, 3/50 
        ], [ 13/100, 0, 11/100, 11/100 ], [ -2/25, -12/25, -4/5, -6/25 ], [ 
        -8/25, 12/25, 6/5, 26/25 ], [ -14/25, -24/25, -4/5, -12/25 ], [ 2/25, 
        12/25, 2/5, 16/25 ], [ 4/25, -6/25, -2/5, -8/25 ], [ 8/25, -2/25, 0, 
        -6/25 ], [ -4/25, -14/25, -2/5, -12/25 ], [ 8/25, 18/25, 4/5, 14/25 ], [
        -2/25, 8/25, 2/5, 4/25 ], [ 2/25, 2/25, 2/5, -4/25 ], [ -2/25, 8/25, 0, 
        4/25 ], [ 6/25, -4/25, -2/5, -22/25 ], [ 2/25, 2/25, -2/5, -4/25 ], [ 
        2/25, -8/25, 0, -4/25 ], [ -2/5, -2/5, 0, -2/5 ], [ 12/25, 2/25, 0, 
        -4/25 ], [ 4/25, 24/25, 4/5, 12/25 ], [ -4/25, -4/25, 0, -12/25 ], [ 0, 
        -2/5, 0, 0 ], [ 2/25, 2/25, 2/5, -4/25 ], [ 4/25, 4/25, 0, 2/25 ], [ 
        4/25, 4/25, 2/5, 2/25 ], [ -6/25, -16/25, -2/5, -8/25 ], [ -2/5, -4/5, 
        -4/5, -2/5 ], [ 8/25, -2/25, 0, 14/25 ], [ -2/25, 8/25, 0, 4/25 ], [ 
        -4/25, 6/25, 0, -2/25 ], [ 4/25, 4/25, 0, 12/25 ], [ -8/25, -8/25, -2/5,
        6/25 ], [ -4/25, -4/25, 0, -2/25 ], [ 12/25, 12/25, 2/5, 6/25 ], [ 
        -8/25, -8/25, 0, -4/25 ], [ 8/25, -2/25, 0, 4/25 ], [ 0, 2/5, 0, 0 ], [ 
        -2/25, -2/25, -2/5, -16/25 ], [ 8/25, 8/25, 0, 4/25 ], [ -2/25, -12/25, 
        -4/5, -6/25 ], [ 2/25, 12/25, 0, 6/25 ], [ 6/25, 6/25, -2/5, -2/25 ], [ 
        4/25, 4/25, 0, -8/25 ], [ -6/25, -6/25, -4/25, 0 ], [ 0, -6/25, -6/25, 
        -2/25 ], [ 0, -6/25, -4/25, 0 ], [ -2/25, -2/25, -2/25, -2/25 ], [ 2/25,
        8/25, 4/25, 0 ], [ -2/25, -1/5, -4/25, 1/25 ], [ 2/25, 2/25, 2/25, 2/25 
        ], [ 2/25, 6/25, 4/25, 0 ], [ 3/25, 1/5, 1/25, 1/25 ], [ 2/25, 2/25, 
        -2/25, 0 ], [ 2/25, 0, -4/25, 0 ], [ -2/25, 0, 6/25, 2/25 ], [ -2/25, 
        2/25, 2/25, 4/25 ], [ 0, 6/25, 6/25, 2/25 ], [ -1/25, 0, -2/25, -2/25 ],
        [ 0, 0, 2/25, -2/25 ], [ 0, 0, -2/25, 2/25 ], [ -1/25, 0, 3/25, 3/25 ], 
        [ 2/25, 2/25, -4/25, -2/25 ], [ 0, -2/25, -2/25, -4/25 ], [ -2/25, 2/25,
        2/25, 0 ], [ 0, 4/25, 2/25, -2/25 ], [ 2/25, 2/25, 0, 0 ], [ -4/25, 
        -2/25, -2/25, 0 ], [ 1/25, 0, -3/25, -3/25 ], [ 1/25, 0, 2/25, 2/25 ], [
        4/25, 8/25, 6/25, 2/25 ], [ -4/25, -2/25, 0, 0 ], [ 0, 2/25, 0, 2/25 ], 
        [ 0, -2/25, 0, -2/25 ], [ 6/25, 6/25, 4/25, 0 ], [ -4/25, -2/25, 0, 2/25
        ], [ 3/25, 1/5, 6/25, 1/25 ], [ 2/25, 1/5, 4/25, -1/25 ], [ 0, -6/25, 
        -4/25, 0 ], [ 0, 2/25, 6/25, 6/25 ], [ 0, -2/25, -6/25, -6/25 ], [ 6/25,
        8/25, 8/25, 4/25 ], [ 2/25, -2/25, -4/25, -2/25 ], [ 0, -2/25, -4/25, 
        -4/25 ], [ 0, -2/25, -2/25, -4/25 ], [ 2/25, 6/25, 4/25, 0 ], [ -4/25, 
        -8/25, -6/25, -2/25 ], [ 0, 2/25, 0, 0 ], [ -4/25, -2/25, 2/25, 0 ], [ 
        2/25, 2/25, 0, -2/25 ], [ 0, 2/25, 4/25, 4/25 ], [ 4/25, 2/25, 2/25, 0 
        ], [ 0, -1/20, 0, -1/20 ], [ 0, 0, -1/10, 1/10 ], [ -1/20, -1/5, -3/20, 
        -1/10 ], [ 1/10, 3/20, 1/20, 1/4 ], [ 0, 0, 0, 0 ], [ -3/20, -1/5, 1/20,
        -3/10 ], [ -1/20, -1/20, 0, -1/20 ], [ 0, 0, -3/20, 1/10 ], [ -1/20, 
        -1/20, 1/20, -1/20 ], [ 1/20, 1/20, 1/20, 0 ], [ 0, -1/20, -1/20, 0 ], [
        1/10, 3/20, 1/20, 1/5 ], [ 0, 0, 0, 0 ], [ -1/20, -1/10, -1/20, -1/10 ],
        [ 1/20, 1/5, 3/20, 3/20 ], [ -1/20, -1/20, -1/20, -1/20 ], [ 0, 0, 
        -1/20, 0 ], [ 1/10, 3/20, 0, 3/20 ], [ 1/10, 1/5, 1/5, 3/20 ], [ 0, 0, 
        -1/10, 1/20 ], [ 0, 0, 0, 0 ], [ -1/10, -1/5, -3/20, -3/20 ], [ -1/20, 
        0, 0, 0 ], [ 0, 0, 0, 0 ], [ 1/20, 1/20, 1/20, 1/20 ], [ -1/20, 0, 1/20,
        -1/20 ], [ 1/20, 1/20, 1/20, 0 ], [ 0, 1/20, 1/20, 0 ], [ 0, -1/20, 
        -1/20, -1/20 ], [ 0, 0, 0, 0 ], [ -1/2, 1/4, -1/2, -1/4 ], [ 1/2, -1/4, 
        1/2, 1/4 ], [ 1/2, 1/2, 1/2, 1/2 ], [ 1/2, 1/2, 0, 1/4 ], [ 1/2, 1/2, 1,
        3/4 ], [ 0, 0, 1/4, -1/2 ], [ -1/4, 0, -1/4, 1/4 ], [ 1/4, 0, -1/2, 0 ],
        [ 0, -3/4, 0, -1/4 ], [ 0, 0, 0, 0 ], [ 2/5, -2/5, 0, -4/5 ], [ 0, -2/5,
        -2/5, -2/5 ], [ 6/5, -2/5, -2/5, 4/5 ], [ 0, -2, -8/5, -8/5 ], [ -4/5, 
        -2/5, 4/5, -6/5 ], [ 6/5, 4/5, 6/5, 2 ], [ 2/5, -2/5, -4/5, -4/5 ], [ 
        8/5, 8/5, 4/5, 4/5 ], [ -6/5, -4/5, -2/5, 0 ], [ -2/5, -4/5, 0, -2/5 ], 
        [ 0, 0, -2/5, 0 ], [ 4/5, 0, 0, 2/5 ], [ 4/5, 0, 2/5, 2/5 ], [ -4/5, 
        2/5, -2/5, 0 ], [ 2/5, 2/5, 0, 0 ], [ -4/5, 0, -2/5, 2/5 ], [ 2/5, 4/5, 
        2/5, 4/5 ], [ -2/5, 0, 0, 2/5 ], [ -2/5, -2/5, -4/5, -4/5 ], [ 0, 0, 0, 
        2/5 ], [ 9/20, -7/20, 9/10, 3/2 ], [ 1/100, -9/10, -2/25, -12/25 ], [ 
        141/100, 3/20, 43/25, 187/100 ], [ 9/100, 3/20, 33/100, -1/50 ], [ 
        177/100, 1/20, 109/100, 87/50 ], [ -29/50, 1/5, 29/100, -14/25 ], [ 
        -33/100, 3/20, 1/25, -11/100 ], [ 5/4, -19/20, 3/20, 11/20 ], [ 6/25, 
        1/5, -1/50, -1/50 ], [ 29/100, -1/5, 29/50, -41/50 ], [ -31/50, 1/4, 
        9/25, -1/25 ], [ -69/100, 1/20, -29/50, -9/50 ], [ -13/20, -3/10, -1/2, 
        -1/2 ], [ -9/100, 0, 1/50, -13/100 ], [ 51/100, 0, 8/25, 13/25 ], [ 
        -9/50, 7/10, -11/100, 27/50 ], [ 1/50, 0, 1/25, -11/100 ], [ -17/100, 
        -3/20, -1/25, -1/25 ], [ 87/100, 1/4, 37/50, 67/50 ], [ -3/20, -3/20, 0,
        -3/10 ], [ 1/5, 0, 3/10, 0 ], [ -9/50, 3/10, -3/50, -3/50 ], [ -1/20, 0,
        -3/20, 3/20 ], [ -13/50, -3/20, -7/100, -8/25 ], [ 33/50, -3/20, -19/50,
        -2/25 ], [ 7/25, 3/10, 11/100, 14/25 ], [ 9/25, 0, 11/50, -23/100 ], [ 
        4/25, -3/20, 11/50, -2/25 ], [ -13/100, 0, 1/25, 9/100 ], [ -17/100, 
        -9/20, -11/25, -6/25 ], [ -7/25, -3/10, 1/25, -9/25 ], [ 2/25, 3/20, 
        -9/100, 3/50 ], [ 11/100, 0, 11/50, 7/100 ], [ -3/20, 0, -3/20, -3/20 ],
        [ 11/100, -1/10, 7/100, 7/100 ], [ 1/25, 0, 13/100, 13/100 ], [ -11/100,
        0, -1/50, -7/100 ], [ -11/100, 1/2, 73/100, 7/25 ], [ -7/25, -3/10, 
        -19/25, -3/50 ], [ -1/50, -3/20, 11/100, 11/100 ], [ 0, 0, 3/10, -3/10 
        ], [ 7/50, 3/10, 53/100, 12/25 ], [ 7/20, -3/20, -1/2, -3/20 ], [ 9/25, 
        1/2, 87/100, 57/100 ], [ -57/100, 1/5, 41/100, 14/25 ], [ 7/25, -1/2, 
        -39/100, 3/50 ], [ 3/100, 1/20, 11/100, 1/100 ], [ -9/50, 0, -3/50, 
        -9/25 ], [ 13/100, 3/20, 11/100, -1/25 ], [ -31/50, 1/20, 3/50, -17/50 
        ], [ -3/20, 1/20, 1/20, 0 ], [ -3/50, -3/20, -1/50, -1/50 ], [ -11/100, 
        0, -7/100, -1/50 ], [ -11/100, 9/20, 7/25, 23/100 ], [ -6/25, -1/5, 
        -13/100, -33/100 ], [ 1/10, 0, 2/5, 2/5 ], [ -1/25, -3/20, 1/50, -23/100
        ], [ -9/100, 0, 1/50, 1/50 ], [ 1/50, -1/20, 1/25, -11/100 ], [ 17/100, 
        3/20, 1/25, 1/25 ], [ -4/25, -4/25, 2/5, 8/25 ], [ 12/25, 12/25, 2/5, 
        -4/25 ], [ 2/25, 12/25, 0, 6/25 ], [ 6/25, -4/25, -2/5, -12/25 ], [ 
        -6/25, 4/25, 2/5, 12/25 ], [ -2/25, -2/25, 2/5, 4/25 ], [ -12/25, -2/25,
        0, 4/25 ], [ 4/25, -6/25, -2/5, -8/25 ], [ 4/25, 4/25, -2/5, -8/25 ], [ 
        -2/25, -2/25, -2/5, -16/25 ], [ 8/25, 8/25, 0, 4/25 ], [ -6/25, -6/25, 
        0, 2/25 ], [ 6/25, -4/25, 0, 8/25 ], [ 0, -2/5, -2/5, -2/5 ], [ -4/25, 
        6/25, 0, -2/25 ], [ -4/25, -4/25, 0, -2/25 ], [ 0, 2/5, 0, 0 ], [ 
        -14/25, -4/25, -2/5, -12/25 ], [ -2/5, 0, 0, 0 ], [ 2/5, 2/5, 4/5, 2/5 
        ], [ 4/25, 4/25, 0, -8/25 ], [ -6/25, -6/25, 2/5, 2/25 ], [ 4/25, -6/25,
        -2/5, -8/25 ], [ -6/25, -6/25, -2/5, 2/25 ], [ 4/25, -6/25, 0, -8/25 ], 
        [ 4/25, 14/25, 2/5, 12/25 ], [ 2/5, 2/5, 2/5, 2/5 ], [ 14/25, 4/25, 2/5,
        12/25 ], [ 4/25, -6/25, -2/5, -8/25 ], [ -2/5, 0, -2/5, -2/5 ], [ -6/25,
        -6/25, 2/5, 2/25 ], [ -6/25, -6/25, -2/5, 2/25 ], [ -4/25, -14/25, -2/5,
        -12/25 ], [ 6/25, 6/25, 0, 8/25 ], [ -4/25, -4/25, -2/5, -2/25 ], [ 
        6/25, 6/25, 2/5, 8/25 ], [ 0, 0, 0, 0 ], [ 0, 0, 0, 0 ], [ 0, 0, 0, 0 ],
        [ 0, 0, 0, 0 ], [ -2/25, -8/25, -4/25, 0 ], [ 2/25, -2/25, -4/25, -2/25 
        ], [ -4/25, -8/25, -6/25, -2/25 ], [ 0, -2/25, -4/25, -6/25 ], [ 2/25, 
        6/25, 6/25, 2/25 ], [ 2/25, 1/5, 4/25, -1/25 ], [ 2/25, -2/25, -4/25, 
        -4/25 ], [ 2/25, 8/25, 6/25, 2/25 ], [ -3/25, -1/5, -1/25, -1/25 ], [ 
        -2/25, 2/25, 4/25, 4/25 ], [ 0, 2/25, 4/25, 6/25 ], [ 2/25, -2/25, 
        -2/25, -4/25 ], [ 2/25, 0, -6/25, -2/25 ], [ 6/25, 8/25, 8/25, 4/25 ], [
        1/25, 0, 2/25, 2/25 ], [ 2/25, -2/25, -4/25, -6/25 ], [ 4/25, 2/25, 
        -4/25, -2/25 ], [ 1/25, 0, -3/25, -3/25 ], [ 0, 2/25, 0, 0 ], [ 2/25, 0,
        0, -4/25 ], [ -2/25, -2/25, 0, 2/25 ], [ 6/25, 4/25, 4/25, 2/25 ], [ 
        -4/25, -2/25, -4/25, -4/25 ], [ 0, 2/25, 4/25, 2/25 ], [ -1/25, 0, 3/25,
        3/25 ], [ -1/25, 0, -2/25, -2/25 ], [ 0, 6/25, 4/25, 0 ], [ -4/25, 
        -2/25, 2/25, 0 ], [ 2/25, 2/25, -4/25, -4/25 ], [ 2/25, 0, -2/25, -6/25 
        ], [ 4/25, 2/25, 0, -2/25 ], [ 2/25, 2/25, 6/25, 4/25 ], [ -3/25, -1/5, 
        -6/25, -1/25 ], [ -2/25, -1/5, -4/25, 1/25 ], [ -2/25, -2/25, -4/25, 
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    <25, 2, 2*w^3 + 2*w^2 + 4>, <25, 3, -w^3 - w^2 - 1>, <25, 4, 2*w^3 + 2*w^2 +
    5>, <25, 6, -5*w^3 - 5*w^2 - 7>, <25, 7, -1>, <25, 8, 3*w^3 + 3*w^2 + 3>, 
    <25, 9, -2*w^3 - 2*w^2 - 3>, <25, 10, -1>, <25, 12, 2*w^3 + 2*w^2 + 4>, <25,
    14, -2>, <25, 15, w^3 + w^2 + 3>, <25, 16, -1>, <25, 18, 2*w^3 + 2*w^2 + 4>,
    <25, 19, 1>, <25, 20, 2*w^3 + 2*w^2 + 2>, <25, 22, -w^3 - w^2 - 2>, <25, 26,
    -w^3 - w^2 - 1>, <25, 28, 1>, <25, 29, -1>,  <26, 2, 2*w^3 + 2*w^2 + 1>, 
    <26, 3, -1>, <26, 4, w^3 + w^2 + 3>, <26, 5, -w^3 - w^2>, <26, 6, -2*w^3 - 
    2*w^2 - 4>, <26, 7, -w^3 - w^2 - 1>, <26, 8, w^3 + w^2 + 1>, <26, 9, -2*w^3 
    - 2*w^2 - 1>, <26, 12, w^3 + w^2 + 2>, <26, 14, -1>, <26, 15, 1>, <26, 16, 
    -w^3 - w^2 - 1>, <26, 18, 2*w^3 + 2*w^2 + 2>, <26, 19, -w^3 - w^2 + 2>, <26,
    20, 1>, <26, 21, 1>, <26, 22, -2>, <26, 24, w^3 + w^2>, <26, 26, -w^3 - w^2 
    - 1>, <26, 28, -w^3 - w^2>, <26, 29, -1>,  <27, 2, w^3 + w^2>, <27, 3, w^3 +
    w^2 - 1>, <27, 4, 1>, <27, 7, -1>, <27, 8, w^3 + w^2>, <27, 11, w^3 + w^2>, 
    <27, 15, -w^3 - w^2>, <27, 16, -1>, <27, 17, -1>, <27, 19, -w^3 - w^2 + 1>, 
    <27, 22, w^3 + w^2 - 1>, <27, 26, -w^3 - w^2>,  <28, 3, -w^3 - w^2>, <28, 4,
    2*w^3 + 2*w^2 + 1>, <28, 5, -w^3 - w^2>, <28, 6, -w^3 - w^2 - 2>, <28, 7, 
    -w^3 - w^2>, <28, 9, -w^3 - w^2>, <28, 10, w^3 + w^2 + 1>, <28, 12, w^3 + 
    w^2 + 1>, <28, 14, -w^3 - w^2 - 1>, <28, 15, w^3 + w^2>, <28, 16, -1>, <28, 
    18, w^3 + w^2 + 1>, <28, 19, w^3 + w^2>, <28, 20, 1>, <28, 22, -w^3 - w^2>, 
    <28, 23, w^3 + w^2>, <28, 25, 1>, <28, 26, -1>, <28, 27, 1>, <28, 30, w^3 + 
    w^2>,  <29, 1, -2*w^3 - 2*w^2 - 3>, <29, 3, -2*w^3 - 2*w^2 - 1>, <29, 4, 
    2*w^3 + 2*w^2 + 2>, <29, 5, -w^3 - w^2 - 1>, <29, 6, -4*w^3 - 4*w^2 - 7>, 
    <29, 7, -w^3 - w^2 - 1>, <29, 8, w^3 + w^2 + 2>, <29, 9, -w^3 - w^2 - 1>, 
    <29, 12, 2*w^3 + 2*w^2 + 3>, <29, 14, -w^3 - w^2 - 1>, <29, 15, w^3 + w^2 + 
    1>, <29, 18, 2*w^3 + 2*w^2 + 3>, <29, 19, w^3 + w^2 + 1>, <29, 20, w^3 + w^2
    + 2>, <29, 22, -w^3 - w^2 - 1>, <29, 23, -1>, <29, 25, w^3 + w^2 + 2>, <29, 
    26, -w^3 - w^2 - 2>, <29, 27, 1>, <29, 29, w^3 + w^2>, <29, 30, w^3 + w^2 + 
    1>,  <30, 1, 1>, <30, 2, -w^3 - w^2>, <30, 6, 2>, <30, 8, w^3 + w^2 - 1>, 
    <30, 9, 1>, <30, 10, w^3 + w^2>, <30, 12, -w^3 - w^2>, <30, 14, w^3 + w^2 - 
    1>, <30, 16, w^3 + w^2 - 1>, <30, 18, -1>, <30, 23, w^3 + w^2>, <30, 29, 
    -w^3 - w^2 + 1>, <30, 30, w^3 + w^2 - 1>,  <31, 31, -2*w^3 - 2*w^2 - 1>, 
    <31, 32, w^3 + w^2 - 1>, <31, 33, w^3 + w^2 - 1>, <31, 34, -2>, <31, 35, 
    2*w^3 + 2*w^2 - 1>, <31, 36, 2>, <31, 37, 1>, <31, 38, -2*w^3 - 2*w^2>, <31,
    39, 1>, <31, 40, -w^3 - w^2 + 1>,  <32, 31, w^3 + w^2 - 1>, <32, 32, -2*w^3 
    - 2*w^2 - 1>, <32, 33, -2*w^3 - 2*w^2>, <32, 34, -2*w^3 - 2*w^2 - 1>, <32, 
    35, -2*w^3 - 2*w^2 + 1>, <32, 36, 2*w^3 + 2*w^2 + 1>, <32, 37, w^3 + w^2 + 
    1>, <32, 38, -1>, <32, 40, 2*w^3 + 2*w^2 - 1>,  <33, 31, -w^3 - w^2 - 2>, 
    <33, 32, 1>, <33, 33, -w^3 - w^2>, <33, 34, -w^3 - w^2 - 1>, <33, 35, -w^3 -
    w^2 + 1>, <33, 36, w^3 + w^2 + 1>, <33, 38, -1>, <33, 39, w^3 + w^2 + 1>, 
    <33, 40, w^3 + w^2>,  <34, 31, -w^3 - w^2>, <34, 32, w^3 + w^2>, <34, 33, 
    2*w^3 + 2*w^2 + 1>, <34, 34, w^3 + w^2>, <34, 35, w^3 + w^2 - 1>, <34, 36, 
    -w^3 - w^2>, <34, 40, -2*w^3 - 2*w^2>,  <35, 31, -w^3 - w^2>, <35, 32, w^3 +
    w^2>, <35, 33, w^3 + w^2 - 1>, <35, 34, -1>, <35, 35, 2*w^3 + 2*w^2 - 1>, 
    <35, 36, 1>, <35, 37, 1>, <35, 38, -w^3 - w^2 + 1>, <35, 39, 1>, <35, 40, 
    -w^3 - w^2 + 1>,  <36, 31, w^3 + w^2 - 1>, <36, 32, -w^3 - w^2>, <36, 33, 
    -w^3 - w^2 + 1>, <36, 34, -w^3 - w^2>, <36, 35, -2*w^3 - 2*w^2 + 1>, <36, 
    36, w^3 + w^2>, <36, 37, w^3 + w^2>, <36, 38, w^3 + w^2 - 1>, <36, 39, w^3 +
    w^2>, <36, 40, w^3 + w^2 - 1>,  <37, 31, -w^3 - w^2 - 1>, <37, 34, -w^3 - 
    w^2 - 1>, <37, 36, 1>, <37, 37, w^3 + w^2>, <37, 38, -1>, <37, 39, w^3 + 
    w^2>,  <38, 31, w^3 + w^2 + 2>, <38, 34, w^3 + w^2 + 2>, <38, 35, -1>, <38, 
    36, -w^3 - w^2 - 2>, <38, 37, -w^3 - w^2 - 1>, <38, 38, 1>, <38, 39, -w^3 - 
    w^2 - 1>,  <39, 32, w^3 + w^2 + 1>, <39, 33, w^3 + w^2 + 1>, <39, 34, w^3 + 
    w^2 + 1>, <39, 36, -w^3 - w^2 - 1>, <39, 37, -w^3 - w^2 - 1>, <39, 40, -w^3 
    - w^2>,  <40, 31, -2*w^3 - 2*w^2 - 3>, <40, 32, 1>, <40, 34, -w^3 - w^2 - 
    1>, <40, 36, w^3 + w^2 + 1>, <40, 37, 1>, <40, 38, -w^3 - w^2 - 1>, <40, 39,
    1>,  <41, 41, 1>, <41, 43, -1>, <41, 44, -w^3 - w^2 - 1>, <41, 45, -w^3 - 
    w^2 - 1>, <41, 47, w^3 + w^2>, <41, 49, -1>, <41, 51, w^3 + w^2>, <41, 54, 
    1>, <41, 55, w^3 + w^2>, <41, 56, w^3 + w^2 + 1>, <41, 59, 1>,  <42, 42, 1>,
    <42, 43, -1>, <42, 44, w^3 + w^2 - 1>, <42, 45, -w^3 - w^2>, <42, 46, -w^3 -
    w^2>, <42, 48, -w^3 - w^2>, <42, 49, -1>, <42, 54, 1>, <42, 55, 1>, <42, 56,
    1>, <42, 58, -w^3 - w^2>, <42, 59, w^3 + w^2>,  <43, 41, -w^3 - w^2>, <43, 
    43, -1>, <43, 44, -w^3 - w^2>, <43, 46, w^3 + w^2 - 1>, <43, 49, w^3 + w^2>,
    <43, 52, -1>, <43, 54, 1>,  <44, 43, 1>, <44, 44, -w^3 - w^2 - 2>, <44, 45, 
    -2*w^3 - 2*w^2 - 3>, <44, 46, 1>, <44, 47, 1>, <44, 48, 1>, <44, 50, -w^3 - 
    w^2 - 2>, <44, 52, 1>, <44, 54, w^3 + w^2 + 1>, <44, 56, w^3 + w^2 + 2>,  
    <45, 41, -w^3 - w^2>, <45, 43, -w^3 - w^2 - 1>, <45, 44, -w^3 - w^2>, <45, 
    45, 1>, <45, 46, -1>, <45, 47, -w^3 - w^2>, <45, 48, -w^3 - w^2>, <45, 49, 
    w^3 + w^2>, <45, 50, -1>, <45, 52, -w^3 - w^2 - 1>, <45, 53, -1>, <45, 54, 
    1>,  <46, 41, -1>, <46, 43, -w^3 - w^2 - 1>, <46, 44, -1>, <46, 46, -w^3 - 
    w^2>, <46, 47, -1>, <46, 48, -1>, <46, 49, 1>, <46, 50, -w^3 - w^2 - 1>, 
    <46, 52, -w^3 - w^2 - 1>, <46, 53, -w^3 - w^2 - 1>, <46, 54, w^3 + w^2 + 1>,
    <46, 56, 1>,  <47, 41, -2>, <47, 43, w^3 + w^2 + 1>, <47, 44, -2>, <47, 45, 
    -2*w^3 - 2*w^2 - 3>, <47, 46, 2>, <47, 47, w^3 + w^2>, <47, 48, w^3 + w^2 + 
    1>, <47, 49, 1>, <47, 50, -w^3 - w^2 - 1>, <47, 54, w^3 + w^2 + 1>, <47, 56,
    w^3 + w^2 + 1>, <47, 58, w^3 + w^2 + 1>,  <48, 41, 1>, <48, 42, -1>, <48, 
    43, 1>, <48, 44, -w^3 - w^2>, <48, 45, -1>, <48, 46, w^3 + w^2 + 1>, <48, 
    47, -w^3 - w^2>, <48, 48, 1>, <48, 50, -1>, <48, 54, -1>,  <49, 41, -w^3 - 
    w^2 - 1>, <49, 42, w^3 + w^2 + 1>, <49, 44, -w^3 - w^2 - 1>, <49, 45, -w^3 -
    w^2 - 2>, <49, 47, 1>, <49, 48, 1>, <49, 50, -1>, <49, 54, w^3 + w^2 + 1>, 
    <49, 56, w^3 + w^2 + 1>,  <50, 42, -1>, <50, 43, w^3 + w^2>, <50, 46, 1>, 
    <50, 47, w^3 + w^2 - 1>, <50, 48, 1>, <50, 49, w^3 + w^2>, <50, 51, w^3 + 
    w^2 - 1>, <50, 54, -1>, <50, 55, w^3 + w^2 - 1>, <50, 56, w^3 + w^2 - 1>, 
    <50, 58, w^3 + w^2>, <50, 59, -w^3 - w^2 + 1>,  <51, 41, -w^3 - w^2>, <51, 
    42, w^3 + w^2 + 1>, <51, 43, -w^3 - w^2>, <51, 44, -w^3 - w^2 + 2>, <51, 45,
    w^3 + w^2 + 1>, <51, 46, -2>, <51, 48, -1>, <51, 54, 1>, <51, 56, -w^3 - 
    w^2>, <51, 58, -w^3 - w^2 - 1>, <51, 59, -w^3 - w^2 - 1>,  <52, 41, 1>, <52,
    43, -w^3 - w^2 - 1>, <52, 44, 2>, <52, 45, 2*w^3 + 2*w^2 + 2>, <52, 46, -1>,
    <52, 47, -w^3 - w^2>, <52, 48, -w^3 - w^2 - 1>, <52, 50, w^3 + w^2 + 1>, 
    <52, 54, -1>, <52, 56, -2>, <52, 58, -1>, <52, 59, -w^3 - w^2>,  <53, 41, 
    -w^3 - w^2>, <53, 42, w^3 + w^2 + 1>, <53, 43, -1>, <53, 44, -1>, <53, 46, 
    -w^3 - w^2 - 2>, <53, 47, 1>, <53, 48, -w^3 - w^2>, <53, 49, -1>, <53, 50, 
    -1>, <53, 54, w^3 + w^2 + 1>, <53, 56, w^3 + w^2 + 1>, <53, 58, -1>,  <54, 
    41, w^3 + w^2>, <54, 42, -1>, <54, 43, -w^3 - w^2 - 2>, <54, 44, w^3 + w^2 -
    1>, <54, 45, w^3 + w^2 + 1>, <54, 46, -w^3 - w^2>, <54, 47, -2>, <54, 48, 
    -2>, <54, 49, -w^3 - w^2 + 1>, <54, 50, -w^3 - w^2 - 1>, <54, 52, -w^3 - w^2
    - 2>, <54, 53, -w^3 - w^2 - 1>, <54, 54, w^3 + w^2>, <54, 58, -1>,  <55, 41,
    -1>, <55, 43, w^3 + w^2 + 1>, <55, 44, w^3 + w^2>, <55, 46, 1>, <55, 48, w^3
    + w^2 + 1>, <55, 49, 1>, <55, 54, -1>, <55, 56, -1>, <55, 58, w^3 + w^2 + 
    1>,  <56, 41, w^3 + w^2 - 1>, <56, 43, 1>, <56, 44, w^3 + w^2 - 3>, <56, 45,
    -2*w^3 - 2*w^2 - 2>, <56, 46, -2*w^3 - 2*w^2 + 1>, <56, 47, w^3 + w^2 + 1>, 
    <56, 48, w^3 + w^2 + 1>, <56, 49, -w^3 - w^2 + 1>, <56, 50, -w^3 - w^2 - 1>,
    <56, 52, 1>, <56, 54, w^3 + w^2 + 1>, <56, 56, 2>, <56, 58, 1>, <56, 59, w^3
    + w^2>,  <57, 41, -1>, <57, 42, 1>, <57, 43, w^3 + w^2 - 1>, <57, 44, -3>, 
    <57, 45, -3*w^3 - 3*w^2 - 3>, <57, 46, -w^3 - w^2 + 1>, <57, 47, 2*w^3 + 
    2*w^2>, <57, 48, 1>, <57, 49, -1>, <57, 50, -w^3 - w^2 - 1>, <57, 51, w^3 + 
    w^2>, <57, 54, w^3 + w^2 + 2>, <57, 55, w^3 + w^2>, <57, 56, 2*w^3 + 2*w^2 +
    2>, <57, 59, 1>,  <58, 41, 2>, <58, 43, -2>, <58, 44, -w^3 - w^2 + 2>, <58, 
    45, w^3 + w^2 + 1>, <58, 46, w^3 + w^2 - 2>, <58, 47, w^3 + w^2 + 1>, <58, 
    48, -w^3 - w^2 - 1>, <58, 49, w^3 + w^2 - 1>, <58, 50, w^3 + w^2 + 1>, <58, 
    52, w^3 + w^2>, <58, 54, -w^3 - w^2>, <58, 56, w^3 + w^2>, <58, 57, -w^3 - 
    w^2 - 1>, <58, 59, 1>, <58, 60, -w^3 - w^2 - 1>,  <59, 41, -1>, <59, 42, w^3
    + w^2 + 1>, <59, 43, -1>, <59, 44, -2>, <59, 45, -w^3 - w^2 - 1>, <59, 46, 
    -w^3 - w^2>, <59, 47, w^3 + w^2 - 1>, <59, 48, w^3 + w^2 - 1>, <59, 49, -w^3
    - w^2 + 1>, <59, 50, -w^3 - w^2 - 1>, <59, 52, -1>, <59, 54, w^3 + w^2 + 2>,
    <59, 56, 1>, <59, 58, -w^3 - w^2 - 1>, <59, 59, -1>, <59, 60, 1>,  <60, 41, 
    -1>, <60, 43, w^3 + w^2 + 2>, <60, 44, -w^3 - w^2 - 1>, <60, 45, -w^3 - w^2 
    - 3>, <60, 46, w^3 + w^2 + 1>, <60, 47, 1>, <60, 48, w^3 + w^2 + 1>, <60, 
    49, 1>, <60, 50, -w^3 - w^2 - 1>, <60, 51, -w^3 - w^2>, <60, 52, w^3 + w^2 +
    1>, <60, 54, w^3 + w^2>, <60, 55, -w^3 - w^2>, <60, 56, w^3 + w^2 + 1>, <60,
    58, w^3 + w^2 + 1>,  <61, 61, -w^3 - w^2 - 2>, <61, 62, -1>, <61, 63, w^3 + 
    w^2>, <61, 70, 2*w^3 + 2*w^2 + 2>, <61, 71, w^3 + w^2 + 2>, <61, 72, -w^3 - 
    w^2>, <61, 76, -w^3 - w^2 - 2>, <61, 79, -w^3 - w^2 - 1>, <61, 99, -1>, <61,
    101, 1>, <61, 105, w^3 + w^2>, <61, 108, w^3 + w^2 + 1>,  <62, 61, w^3 + w^2
    - 1>, <62, 62, w^3 + w^2 - 1>, <62, 63, 2*w^3 + 2*w^2 + 1>, <62, 68, w^3 + 
    w^2 + 1>, <62, 70, w^3 + w^2 + 2>, <62, 71, w^3 + w^2 + 1>, <62, 72, -1>, 
    <62, 76, -w^3 - w^2 - 2>, <62, 79, -1>, <62, 82, -w^3 - w^2>, <62, 87, 1>, 
    <62, 99, -1>, <62, 101, 1>, <62, 105, w^3 + w^2>, <62, 108, 1>,  <63, 61, 
    2*w^3 + 2*w^2 + 4>, <63, 62, w^3 + w^2>, <63, 63, 2*w^3 + 2*w^2 + 2>, <63, 
    65, 1>, <63, 68, w^3 + w^2 + 2>, <63, 70, -w^3 - w^2 - 1>, <63, 71, -w^3 - 
    w^2 - 2>, <63, 72, -1>, <63, 79, w^3 + w^2 + 1>, <63, 82, -1>, <63, 87, 1>, 
    <63, 108, -w^3 - w^2 - 1>,  <64, 61, -4*w^3 - 4*w^2 - 8>, <64, 62, w^3 + 
    w^2>, <64, 63, -3*w^3 - 3*w^2 + 1>, <64, 65, 4*w^3 + 4*w^2 + 4>, <64, 66, 
    -4*w^3 - 4*w^2 - 2>, <64, 67, -w^3 - w^2 - 1>, <64, 68, -w^3 - w^2 - 3>, 
    <64, 70, 2*w^3 + 2*w^2 + 1>, <64, 71, 3>, <64, 72, -2>, <64, 73, -w^3 - w^2 
    - 2>, <64, 75, 3*w^3 + 3*w^2 + 1>, <64, 76, -w^3 - w^2>, <64, 79, 3>, <64, 
    81, -1>, <64, 85, 2*w^3 + 2*w^2 + 1>, <64, 88, -1>, <64, 90, 2*w^3 + 2*w^2>,
    <64, 95, -w^3 - w^2 - 1>, <64, 99, w^3 + w^2 - 1>, <64, 102, -w^3 - w^2 - 
    1>, <64, 103, 2*w^3 + 2*w^2 + 3>, <64, 104, w^3 + w^2 + 2>, <64, 105, -2*w^3
    - 2*w^2 - 2>, <64, 111, -w^3 - w^2>, <64, 113, -w^3 - w^2 - 1>, <64, 118, 
    -2*w^3 - 2*w^2 - 2>, <64, 119, w^3 + w^2 + 1>,  <65, 61, -w^3 - w^2 - 2>, 
    <65, 62, -1>, <65, 63, -w^3 - w^2 - 2>, <65, 65, -w^3 - w^2 - 1>, <65, 68, 
    -w^3 - w^2 - 1>, <65, 70, 1>, <65, 71, w^3 + w^2 + 1>, <65, 72, w^3 + w^2>, 
    <65, 79, -1>, <65, 87, -w^3 - w^2>, <65, 108, 1>,  <66, 61, 2*w^3 + 2*w^2 + 
    1>, <66, 62, 2*w^3 + 2*w^2 - 1>, <66, 63, 3*w^3 + 3*w^2 + 1>, <66, 67, 1>, 
    <66, 68, 2*w^3 + 2*w^2 + 2>, <66, 70, w^3 + w^2 + 2>, <66, 71, -1>, <66, 72,
    -1>, <66, 73, w^3 + w^2>, <66, 74, -1>, <66, 76, -w^3 - w^2 - 2>, <66, 79, 
    w^3 + w^2>, <66, 82, -w^3 - w^2 - 1>, <66, 87, 2>, <66, 99, w^3 + w^2 - 1>, 
    <66, 101, 1>, <66, 105, 2*w^3 + 2*w^2>, <66, 108, -w^3 - w^2>,  <67, 61, 
    2*w^3 + 2*w^2 + 4>, <67, 62, -3*w^3 - 3*w^2 - 1>, <67, 63, 2*w^3 + 2*w^2 - 
    2>, <67, 65, -2*w^3 - 2*w^2 - 2>, <67, 66, 2*w^3 + 2*w^2>, <67, 67, 1>, <67,
    68, 2>, <67, 70, -3*w^3 - 3*w^2 - 2>, <67, 71, -1>, <67, 72, -w^3 - w^2 + 
    2>, <67, 73, w^3 + w^2 + 1>, <67, 75, -w^3 - w^2>, <67, 76, 2*w^3 + 2*w^2 + 
    1>, <67, 79, w^3 + w^2 - 2>, <67, 81, -w^3 - w^2>, <67, 83, w^3 + w^2 + 1>, 
    <67, 85, -2*w^3 - 2*w^2>, <67, 88, -w^3 - w^2 - 1>, <67, 90, -w^3 - w^2>, 
    <67, 95, w^3 + w^2>, <67, 99, -w^3 - w^2>, <67, 102, w^3 + w^2>, <67, 103, 
    -w^3 - w^2 - 1>, <67, 104, -1>, <67, 105, w^3 + w^2 + 1>, <67, 111, w^3 + 
    w^2>, <67, 113, 1>, <67, 118, w^3 + w^2 + 1>, <67, 119, -w^3 - w^2 - 1>,  
    <68, 61, -3*w^3 - 3*w^2 - 7>, <68, 62, -3*w^3 - 3*w^2 - 1>, <68, 63, -7*w^3 
    - 7*w^2 - 8>, <68, 64, w^3 + w^2 + 1>, <68, 65, -w^3 - w^2 - 3>, <68, 66, 
    2*w^3 + 2*w^2 + 4>, <68, 67, w^3 + w^2 + 1>, <68, 68, -6*w^3 - 6*w^2 - 7>, 
    <68, 70, -3>, <68, 72, w^3 + w^2 + 3>, <68, 73, w^3 + w^2 + 2>, <68, 75, w^3
    + w^2 - 1>, <68, 76, 3*w^3 + 3*w^2 + 4>, <68, 79, -2*w^3 - 2*w^2 - 2>, <68, 
    82, w^3 + w^2 + 1>, <68, 85, -w^3 - w^2 + 1>, <68, 87, -1>, <68, 97, w^3 + 
    w^2 + 2>, <68, 98, 2*w^3 + 2*w^2>, <68, 99, 2>, <68, 101, -1>, <68, 102, 
    -1>, <68, 103, w^3 + w^2 + 4>, <68, 104, 3*w^3 + 3*w^2 + 3>, <68, 105, -w^3 
    - w^2 - 3>, <68, 106, 2>, <68, 107, -w^3 - w^2 - 1>, <68, 108, w^3 + w^2 + 
    1>, <68, 110, -1>, <68, 114, w^3 + w^2>, <68, 115, w^3 + w^2 + 2>, <68, 116,
    2*w^3 + 2*w^2 + 2>,  <69, 62, -2*w^3 - 2*w^2 - 1>, <69, 63, w^3 + w^2 + 4>, 
    <69, 65, w^3 + w^2 - 1>, <69, 66, -w^3 - w^2>, <69, 68, 2*w^3 + 2*w^2 + 2>, 
    <69, 70, 2*w^3 + 2*w^2 + 6>, <69, 71, w^3 + w^2 + 2>, <69, 72, -2*w^3 - 
    2*w^2>, <69, 75, w^3 + w^2>, <69, 76, -3*w^3 - 3*w^2 - 5>, <69, 79, -w^3 - 
    w^2 - 1>, <69, 82, -w^3 - w^2 - 2>, <69, 85, w^3 + w^2 - 1>, <69, 87, w^3 + 
    w^2 + 2>, <69, 90, w^3 + w^2 - 1>, <69, 99, w^3 + w^2 - 2>, <69, 101, w^3 + 
    w^2 + 2>, <69, 105, 1>, <69, 108, w^3 + w^2 + 1>,  <70, 61, w^3 + w^2>, <70,
    62, -4*w^3 - 4*w^2 + 1>, <70, 63, -4*w^3 - 4*w^2 + 2>, <70, 64, w^3 + w^2 - 
    1>, <70, 65, -2>, <70, 67, w^3 + w^2 - 1>, <70, 68, -2*w^3 - 2*w^2 + 1>, 
    <70, 70, w^3 + w^2>, <70, 71, w^3 + w^2 + 1>, <70, 72, -w^3 - w^2>, <70, 73,
    -w^3 - w^2>, <70, 75, 2*w^3 + 2*w^2 - 1>, <70, 79, -2*w^3 - 2*w^2 - 1>, <70,
    82, -1>, <70, 85, -w^3 - w^2 + 1>, <70, 87, w^3 + w^2>, <70, 98, 3*w^3 + 
    3*w^2 - 1>, <70, 99, -2*w^3 - 2*w^2>, <70, 101, w^3 + w^2>, <70, 102, w^3 + 
    w^2 - 1>, <70, 103, -2*w^3 - 2*w^2 + 1>, <70, 104, 2*w^3 + 2*w^2 - 1>, <70, 
    106, -2*w^3 - 2*w^2 + 1>, <70, 108, w^3 + w^2>, <70, 110, w^3 + w^2>, <70, 
    114, w^3 + w^2 - 1>, <70, 115, -w^3 - w^2>, <70, 116, w^3 + w^2>,  <71, 61, 
    -2*w^3 - 2*w^2 - 1>, <71, 62, -3*w^3 - 3*w^2 + 2>, <71, 63, -4*w^3 - 4*w^2 +
    1>, <71, 65, -2>, <71, 66, -w^3 - w^2>, <71, 67, w^3 + w^2>, <71, 70, 3>, 
    <71, 71, 1>, <71, 72, -w^3 - w^2 + 1>, <71, 73, 1>, <71, 74, -w^3 - w^2>, 
    <71, 75, w^3 + w^2>, <71, 76, -w^3 - w^2 - 1>, <71, 79, -w^3 - w^2>, <71, 
    82, -1>, <71, 85, w^3 + w^2 - 1>, <71, 87, w^3 + w^2>, <71, 90, w^3 + w^2 - 
    1>, <71, 101, w^3 + w^2>, <71, 105, -2*w^3 - 2*w^2 + 2>, <71, 108, w^3 + 
    w^2>,  <72, 61, -3*w^3 - 3*w^2 - 1>, <72, 62, -3*w^3 - 3*w^2 - 2>, <72, 63, 
    -w^3 - w^2>, <72, 64, 1>, <72, 65, w^3 + w^2 + 1>, <72, 66, 2*w^3 + 2*w^2 + 
    3>, <72, 67, 1>, <72, 68, w^3 + w^2 - 3>, <72, 70, 3>, <72, 71, 1>, <72, 72,
    -w^3 - w^2>, <72, 73, w^3 + w^2 + 1>, <72, 75, -w^3 - w^2 + 1>, <72, 76, 
    -w^3 - w^2 - 1>, <72, 79, -w^3 - w^2 - 2>, <72, 82, -1>, <72, 85, w^3 + 
    w^2>, <72, 87, w^3 + w^2 + 1>, <72, 97, w^3 + w^2 + 2>, <72, 98, -w^3 - w^2 
    + 1>, <72, 99, -1>, <72, 101, w^3 + w^2 + 1>, <72, 102, -w^3 - w^2>, <72, 
    103, 3*w^3 + 3*w^2 + 3>, <72, 104, w^3 + w^2 + 4>, <72, 105, -2*w^3 - 2*w^2 
    - 1>, <72, 106, 2*w^3 + 2*w^2 + 1>, <72, 107, -w^3 - w^2 - 1>, <72, 108, w^3
    + w^2 + 1>, <72, 110, -w^3 - w^2 - 1>, <72, 114, -w^3 - w^2>, <72, 115, w^3 
    + w^2 + 1>, <72, 116, w^3 + w^2 + 2>, <72, 117, -1>,  <73, 61, -2*w^3 - 
    2*w^2 - 3>, <73, 62, 2>, <73, 63, 1>, <73, 65, 2*w^3 + 2*w^2 + 1>, <73, 66, 
    -w^3 - w^2 - 1>, <73, 67, -w^3 - w^2>, <73, 68, -w^3 - w^2 - 1>, <73, 70, 
    w^3 + w^2 + 3>, <73, 71, 1>, <73, 72, -w^3 - w^2 - 1>, <73, 73, -1>, <73, 
    75, w^3 + w^2>, <73, 76, -w^3 - w^2 - 2>, <73, 79, w^3 + w^2 + 1>, <73, 81, 
    w^3 + w^2 + 1>, <73, 83, -w^3 - w^2 - 1>, <73, 85, w^3 + w^2 + 1>, <73, 88, 
    w^3 + w^2 + 1>, <73, 90, w^3 + w^2>, <73, 99, w^3 + w^2>, <73, 102, -1>, 
    <73, 103, w^3 + w^2 + 2>, <73, 104, w^3 + w^2 + 1>, <73, 105, -w^3 - w^2 - 
    1>, <73, 113, -w^3 - w^2>, <73, 118, -w^3 - w^2 - 1>, <73, 119, w^3 + w^2 + 
    1>,  <74, 61, -w^3 - w^2 - 2>, <74, 62, -2>, <74, 63, w^3 + w^2>, <74, 65, 
    3>, <74, 66, -w^3 - w^2 - 3>, <74, 67, -1>, <74, 68, w^3 + w^2>, <74, 70, 
    w^3 + w^2 - 1>, <74, 71, w^3 + w^2 + 1>, <74, 72, -1>, <74, 73, -w^3 - w^2 -
    1>, <74, 75, 2>, <74, 79, w^3 + w^2 + 1>, <74, 81, -w^3 - w^2>, <74, 83, w^3
    + w^2 + 1>, <74, 85, 1>, <74, 88, -w^3 - w^2 - 1>, <74, 90, -w^3 - w^2 + 1>,
    <74, 99, -2*w^3 - 2*w^2>, <74, 102, -w^3 - w^2>, <74, 103, w^3 + w^2 + 1>, 
    <74, 104, 1>, <74, 105, -1>, <74, 113, -1>, <74, 118, -1>,  <75, 61, -w^3 - 
    w^2 - 1>, <75, 62, 1>, <75, 63, -w^3 - w^2 - 1>, <75, 64, 1>, <75, 65, -1>, 
    <75, 67, 1>, <75, 70, 1>, <75, 74, -w^3 - w^2 - 1>, <75, 105, 1>,  <76, 61, 
    2*w^3 + 2*w^2 + 4>, <76, 62, -w^3 - w^2 + 1>, <76, 63, 1>, <76, 64, -w^3 - 
    w^2>, <76, 65, -2>, <76, 66, -w^3 - w^2 - 1>, <76, 67, -w^3 - w^2>, <76, 68,
    4*w^3 + 4*w^2>, <76, 70, -w^3 - w^2 - 2>, <76, 71, -w^3 - w^2>, <76, 72, 
    -2*w^3 - 2*w^2>, <76, 73, -1>, <76, 75, -w^3 - w^2 + 1>, <76, 76, w^3 + w^2 
    + 1>, <76, 82, -w^3 - w^2 - 1>, <76, 87, w^3 + w^2>, <76, 97, -w^3 - w^2>, 
    <76, 98, -w^3 - w^2 + 1>, <76, 99, -1>, <76, 102, -w^3 - w^2 + 1>, <76, 103,
    -2>, <76, 104, -2*w^3 - 2*w^2>, <76, 106, w^3 + w^2 - 1>, <76, 107, 1>, <76,
    108, -1>, <76, 110, 1>, <76, 114, -w^3 - w^2>, <76, 115, -1>, <76, 117, w^3 
    + w^2>,  <77, 61, -2*w^3 - 2*w^2 - 2>, <77, 62, -1>, <77, 63, -w^3 - w^2 - 
    2>, <77, 65, -2*w^3 - 2*w^2 - 1>, <77, 66, -1>, <77, 68, -w^3 - w^2 - 1>, 
    <77, 70, 2*w^3 + 2*w^2 + 2>, <77, 71, w^3 + w^2 + 1>, <77, 72, 2*w^3 + 
    2*w^2>, <77, 75, 1>, <77, 76, -w^3 - w^2 - 1>, <77, 79, -1>, <77, 82, -1>, 
    <77, 85, -w^3 - w^2>, <77, 90, -w^3 - w^2>, <77, 99, -w^3 - w^2 + 1>, <77, 
    101, w^3 + w^2>, <77, 108, 1>,  <78, 61, -2>, <78, 62, w^3 + w^2 - 2>, <78, 
    63, 3*w^3 + 3*w^2 + 2>, <78, 68, 2*w^3 + 2*w^2 + 2>, <78, 70, 3*w^3 + 3*w^2 
    + 6>, <78, 71, 2*w^3 + 2*w^2 + 2>, <78, 72, -2>, <78, 76, -3*w^3 - 3*w^2 - 
    5>, <78, 79, -2>, <78, 82, -w^3 - w^2 - 1>, <78, 87, 2>, <78, 99, -2>, <78, 
    101, w^3 + w^2 + 2>, <78, 105, 2*w^3 + 2*w^2 + 1>, <78, 108, 2>,  <79, 61, 
    5*w^3 + 5*w^2 + 9>, <79, 62, -2*w^3 - 2*w^2 + 3>, <79, 63, 3*w^3 + 3*w^2 + 
    11>, <79, 64, -2>, <79, 65, w^3 + w^2>, <79, 66, -w^3 - w^2 - 4>, <79, 67, 
    -1>, <79, 68, 4*w^3 + 4*w^2 + 9>, <79, 70, 2*w^3 + 2*w^2 + 2>, <79, 72, 
    -2*w^3 - 2*w^2 - 3>, <79, 73, -2*w^3 - 2*w^2 - 1>, <79, 76, -3*w^3 - 3*w^2 -
    4>, <79, 79, 2>, <79, 82, -2*w^3 - 2*w^2 - 2>, <79, 85, -w^3 - w^2>, <79, 
    87, 2*w^3 + 2*w^2 + 1>, <79, 90, -w^3 - w^2 + 1>, <79, 97, -w^3 - w^2 - 2>, 
    <79, 98, w^3 + w^2 - 1>, <79, 99, -3*w^3 - 3*w^2 - 1>, <79, 101, w^3 + w^2 +
    1>, <79, 102, w^3 + w^2>, <79, 103, -3*w^3 - 3*w^2 - 3>, <79, 104, -w^3 - 
    w^2 - 4>, <79, 105, w^3 + w^2 + 3>, <79, 106, -2*w^3 - 2*w^2 - 1>, <79, 107,
    w^3 + w^2 + 1>, <79, 108, -2>, <79, 110, w^3 + w^2 + 1>, <79, 114, -1>, <79,
    115, -2*w^3 - 2*w^2 - 2>, <79, 116, -w^3 - w^2 - 2>,  <80, 61, 5>, <80, 62, 
    1>, <80, 63, w^3 + w^2 + 7>, <80, 64, w^3 + w^2>, <80, 65, -w^3 - w^2 + 2>, 
    <80, 67, w^3 + w^2>, <80, 68, 3*w^3 + 3*w^2 + 4>, <80, 70, w^3 + w^2 + 2>, 
    <80, 71, 1>, <80, 72, -w^3 - w^2 - 4>, <80, 73, -w^3 - w^2>, <80, 75, -w^3 -
    w^2 - 1>, <80, 76, -3*w^3 - 3*w^2 - 2>, <80, 79, -w^3 - w^2>, <80, 82, -1>, 
    <80, 87, w^3 + w^2 + 1>, <80, 90, 1>, <80, 97, -w^3 - w^2 - 1>, <80, 99, 
    -3*w^3 - 3*w^2 - 1>, <80, 101, w^3 + w^2 + 1>, <80, 102, 1>, <80, 103, -w^3 
    - w^2 - 2>, <80, 104, -w^3 - w^2 - 1>, <80, 105, -w^3 - w^2 + 2>, <80, 107, 
    w^3 + w^2 + 1>, <80, 108, w^3 + w^2>, <80, 115, -w^3 - w^2>, <80, 117, w^3 +
    w^2 + 1>,  <81, 61, 5*w^3 + 5*w^2 + 6>, <81, 62, 3>, <81, 63, 5*w^3 + 5*w^2 
    + 10>, <81, 64, -1>, <81, 65, 3*w^3 + 3*w^2 + 3>, <81, 66, -2*w^3 - 2*w^2 - 
    3>, <81, 67, -w^3 - w^2 - 1>, <81, 68, 5*w^3 + 5*w^2 + 10>, <81, 70, 4*w^3 +
    4*w^2 + 1>, <81, 71, -w^3 - w^2>, <81, 72, -3*w^3 - 3*w^2 - 3>, <81, 73, 
    -w^3 - w^2 - 2>, <81, 74, -1>, <81, 75, w^3 + w^2 + 1>, <81, 76, -3*w^3 - 
    3*w^2 - 6>, <81, 79, 2>, <81, 82, -2*w^3 - 2*w^2 - 2>, <81, 84, -1>, <81, 
    85, -2*w^3 - 2*w^2>, <81, 87, 2*w^3 + 2*w^2 + 2>, <81, 90, -w^3 - w^2>, <81,
    97, -w^3 - w^2 - 1>, <81, 98, w^3 + w^2 - 1>, <81, 99, -2*w^3 - 2*w^2 - 2>, 
    <81, 101, w^3 + w^2 + 2>, <81, 102, w^3 + w^2 + 1>, <81, 103, -3*w^3 - 3*w^2
    - 3>, <81, 104, -w^3 - w^2 - 3>, <81, 105, 3*w^3 + 3*w^2 + 1>, <81, 106, 
    -w^3 - w^2>, <81, 107, 1>, <81, 108, -1>, <81, 110, w^3 + w^2 + 1>, <81, 
    114, -1>, <81, 115, -w^3 - w^2 - 1>, <81, 116, -1>,  <82, 61, -2>, <82, 62, 
    -2*w^3 - 2*w^2 - 1>, <82, 63, 1>, <82, 65, w^3 + w^2>, <82, 66, -w^3 - w^2 -
    1>, <82, 68, -2*w^3 - 2*w^2>, <82, 70, 3*w^3 + 3*w^2 - 1>, <82, 71, w^3 + 
    w^2 + 1>, <82, 72, 1>, <82, 75, w^3 + w^2 - 1>, <82, 76, -1>, <82, 79, 
    -2*w^3 - 2*w^2>, <82, 82, w^3 + w^2 + 1>, <82, 85, -w^3 - w^2>, <82, 86, w^3
    + w^2>, <82, 87, -1>, <82, 91, -1>, <82, 98, 2*w^3 + 2*w^2 - 1>, <82, 103, 
    -w^3 - w^2>, <82, 104, -1>, <82, 105, w^3 + w^2>, <82, 106, -2*w^3 - 2*w^2>,
    <82, 108, w^3 + w^2>, <82, 110, w^3 + w^2>, <82, 114, w^3 + w^2>,  <83, 61, 
    2*w^3 + 2*w^2 + 7>, <83, 62, -5*w^3 - 5*w^2 - 5>, <83, 63, 4*w^3 + 4*w^2 + 
    8>, <83, 64, -w^3 - w^2>, <83, 65, 2*w^3 + 2*w^2 + 1>, <83, 66, -w^3 - w^2 -
    1>, <83, 67, -w^3 - w^2 + 1>, <83, 68, 6*w^3 + 6*w^2 + 3>, <83, 70, -2*w^3 -
    2*w^2 - 1>, <83, 71, -2*w^3 - 2*w^2 - 1>, <83, 72, -w^3 - w^2 + 1>, <83, 73,
    w^3 + w^2>, <83, 75, -w^3 - w^2 + 2>, <83, 76, -w^3 - w^2 - 2>, <83, 79, 
    2*w^3 + 2*w^2 + 3>, <83, 80, -w^3 - w^2 - 2>, <83, 84, -w^3 - w^2 - 2>, <83,
    85, w^3 + w^2 - 1>, <83, 86, 2*w^3 + 2*w^2 + 3>, <83, 91, -2*w^3 - 2*w^2 - 
    3>, <83, 97, 1>, <83, 98, -2*w^3 - 2*w^2 + 1>, <83, 99, 2*w^3 + 2*w^2>, <83,
    102, -2*w^3 - 2*w^2>, <83, 103, 2*w^3 + 2*w^2>, <83, 104, -2*w^3 - 2*w^2 + 
    1>, <83, 105, 1>, <83, 106, w^3 + w^2 - 2>, <83, 107, -w^3 - w^2>, <83, 110,
    1>, <83, 114, -w^3 - w^2 + 1>, <83, 115, w^3 + w^2>, <83, 116, -w^3 - w^2 - 
    1>, <83, 117, -1>,  <84, 61, w^3 + w^2 + 6>, <84, 62, -w^3 - w^2 + 2>, <84, 
    63, 5*w^3 + 5*w^2 + 11>, <84, 64, -1>, <84, 65, 2>, <84, 66, -2*w^3 - 2*w^2 
    - 3>, <84, 67, -1>, <84, 68, 4*w^3 + 4*w^2 + 9>, <84, 70, 4*w^3 + 4*w^2 + 
    5>, <84, 71, w^3 + w^2 + 2>, <84, 72, -2*w^3 - 2*w^2 - 4>, <84, 73, -w^3 - 
    w^2 - 1>, <84, 76, -5*w^3 - 5*w^2 - 7>, <84, 79, -w^3 - w^2>, <84, 82, -w^3 
    - w^2 - 2>, <84, 85, -1>, <84, 87, 2*w^3 + 2*w^2 + 2>, <84, 97, -w^3 - w^2 -
    2>, <84, 99, -3*w^3 - 3*w^2 - 2>, <84, 101, 2*w^3 + 2*w^2 + 2>, <84, 102, 
    1>, <84, 103, -2*w^3 - 2*w^2 - 4>, <84, 104, -2*w^3 - 2*w^2 - 3>, <84, 105, 
    4>, <84, 106, -w^3 - w^2 - 1>, <84, 107, w^3 + w^2 + 1>, <84, 108, w^3 + 
    w^2>, <84, 110, w^3 + w^2 + 1>, <84, 115, -w^3 - w^2 - 1>, <84, 116, -w^3 - 
    w^2 - 1>, <84, 117, 1>,  <85, 61, -8*w^3 - 8*w^2 - 7>, <85, 62, w^3 + w^2 + 
    4>, <85, 63, -w^3 - w^2 + 1>, <85, 65, 3*w^3 + 3*w^2 + 6>, <85, 66, -1>, 
    <85, 67, -1>, <85, 68, -w^3 - w^2 - 3>, <85, 70, 3*w^3 + 3*w^2 + 7>, <85, 
    71, 2*w^3 + 2*w^2 + 3>, <85, 72, -2*w^3 - 2*w^2 - 3>, <85, 73, -w^3 - w^2 - 
    1>, <85, 75, -w^3 - w^2 + 1>, <85, 76, -2*w^3 - 2*w^2 - 3>, <85, 80, w^3 + 
    w^2 + 2>, <85, 82, -1>, <85, 84, w^3 + w^2 + 1>, <85, 85, 3*w^3 + 3*w^2 + 
    1>, <85, 86, -w^3 - w^2 - 2>, <85, 87, w^3 + w^2 + 2>, <85, 90, 1>, <85, 91,
    w^3 + w^2 + 2>, <85, 95, -w^3 - w^2 - 1>, <85, 98, -w^3 - w^2>, <85, 99, 
    -w^3 - w^2 - 1>, <85, 101, w^3 + w^2 + 1>, <85, 102, -w^3 - w^2>, <85, 103, 
    3*w^3 + 3*w^2 + 3>, <85, 104, w^3 + w^2 + 3>, <85, 105, -3*w^3 - 3*w^2 - 1>,
    <85, 106, w^3 + w^2 + 1>, <85, 110, -w^3 - w^2 - 1>, <85, 113, -1>, <85, 
    114, -w^3 - w^2>, <85, 116, 1>, <85, 118, -w^3 - w^2 - 2>, <85, 119, w^3 + 
    w^2 + 1>,  <86, 61, w^3 + w^2 + 3>, <86, 62, 1>, <86, 63, 2*w^3 + 2*w^2 + 
    8>, <86, 64, -1>, <86, 65, 1>, <86, 66, -2*w^3 - 2*w^2 - 2>, <86, 67, -1>, 
    <86, 68, 4*w^3 + 4*w^2 + 7>, <86, 70, 3*w^3 + 3*w^2 + 3>, <86, 71, 2*w^3 + 
    2*w^2 + 3>, <86, 72, -w^3 - w^2 - 4>, <86, 73, -w^3 - w^2 - 1>, <86, 75, w^3
    + w^2>, <86, 76, -3*w^3 - 3*w^2 - 4>, <86, 79, -2*w^3 - 2*w^2 - 2>, <86, 82,
    -w^3 - w^2 - 2>, <86, 87, 2*w^3 + 2*w^2 + 3>, <86, 97, -w^3 - w^2 - 1>, <86,
    98, w^3 + w^2>, <86, 99, -3*w^3 - 3*w^2 - 3>, <86, 101, 2*w^3 + 2*w^2 + 2>, 
    <86, 102, 1>, <86, 103, -2*w^3 - 2*w^2 - 3>, <86, 104, -w^3 - w^2 - 2>, <86,
    105, 2>, <86, 106, -w^3 - w^2>, <86, 107, w^3 + w^2 + 1>, <86, 108, w^3 + 
    w^2 + 1>, <86, 110, w^3 + w^2 + 1>, <86, 114, -1>, <86, 115, -w^3 - w^2 - 
    1>, <86, 117, w^3 + w^2 + 1>,  <87, 61, 5*w^3 + 5*w^2 + 8>, <87, 62, -w^3 - 
    w^2 - 2>, <87, 63, 7*w^3 + 7*w^2 + 12>, <87, 64, -w^3 - w^2 - 1>, <87, 65, 
    3*w^3 + 3*w^2 + 3>, <87, 66, -4*w^3 - 4*w^2 - 6>, <87, 67, -w^3 - w^2 - 1>, 
    <87, 68, 5*w^3 + 5*w^2 + 9>, <87, 70, w^3 + w^2 - 2>, <87, 72, -2>, <87, 73,
    -w^3 - w^2 - 2>, <87, 75, w^3 + w^2 + 1>, <87, 76, -2*w^3 - 2*w^2 - 3>, <87,
    79, w^3 + w^2 + 4>, <87, 80, -w^3 - w^2 - 1>, <87, 84, -w^3 - w^2 - 2>, <87,
    85, -1>, <87, 86, 2*w^3 + 2*w^2 + 2>, <87, 87, -1>, <87, 91, -w^3 - w^2 - 
    3>, <87, 97, -w^3 - w^2 - 2>, <87, 98, -1>, <87, 99, -1>, <87, 102, 1>, <87,
    103, -2*w^3 - 2*w^2 - 4>, <87, 104, -3*w^3 - 3*w^2 - 4>, <87, 105, w^3 + w^2
    + 3>, <87, 106, -2*w^3 - 2*w^2 - 2>, <87, 107, w^3 + w^2 + 1>, <87, 108, 
    -1>, <87, 110, w^3 + w^2 + 2>, <87, 115, -w^3 - w^2 - 2>, <87, 116, -2*w^3 -
    2*w^2 - 2>,  <88, 61, w^3 + w^2 - 1>, <88, 62, -w^3 - w^2 - 5>, <88, 63, 
    -w^3 - w^2 - 4>, <88, 65, -1>, <88, 68, -2*w^3 - 2*w^2 - 3>, <88, 70, -4*w^3
    - 4*w^2 - 6>, <88, 71, -w^3 - w^2 - 2>, <88, 72, 2*w^3 + 2*w^2 + 3>, <88, 
    75, w^3 + w^2 + 1>, <88, 76, 3*w^3 + 3*w^2 + 6>, <88, 79, w^3 + w^2 + 2>, 
    <88, 80, -w^3 - w^2 - 2>, <88, 82, w^3 + w^2 + 2>, <88, 84, -w^3 - w^2 - 1>,
    <88, 86, 2*w^3 + 2*w^2 + 2>, <88, 87, -2*w^3 - 2*w^2 - 3>, <88, 91, -w^3 - 
    w^2 - 3>, <88, 97, w^3 + w^2 + 1>, <88, 99, 2*w^3 + 2*w^2 + 2>, <88, 101, 
    -2*w^3 - 2*w^2 - 2>, <88, 102, -1>, <88, 103, w^3 + w^2 + 2>, <88, 104, w^3 
    + w^2 + 1>, <88, 105, -2>, <88, 107, -1>, <88, 117, -w^3 - w^2 - 1>,  <89, 
    61, w^3 + w^2 + 2>, <89, 62, -3>, <89, 63, 5*w^3 + 5*w^2 + 5>, <89, 64, -w^3
    - w^2>, <89, 65, -1>, <89, 66, 2>, <89, 67, -w^3 - w^2>, <89, 68, 4*w^3 + 
    4*w^2 + 2>, <89, 70, w^3 + w^2 + 6>, <89, 71, 2*w^3 + 2*w^2 + 4>, <89, 72, 
    -3*w^3 - 3*w^2 - 3>, <89, 73, -1>, <89, 75, -w^3 - w^2 - 1>, <89, 76, -3*w^3
    - 3*w^2 - 5>, <89, 79, -2*w^3 - 2*w^2 - 4>, <89, 82, -w^3 - w^2 - 1>, <89, 
    85, 2*w^3 + 2*w^2 - 1>, <89, 87, w^3 + w^2 + 2>, <89, 90, 2*w^3 + 2*w^2>, 
    <89, 98, -w^3 - w^2 + 2>, <89, 99, -5>, <89, 101, w^3 + w^2 + 3>, <89, 102, 
    -w^3 - w^2>, <89, 103, w^3 + w^2 - 1>, <89, 104, -w^3 - w^2 + 1>, <89, 105, 
    2>, <89, 106, w^3 + w^2 - 1>, <89, 108, w^3 + w^2 + 2>, <89, 110, 1>, <89, 
    114, -w^3 - w^2>, <89, 115, -1>, <89, 116, 1>,  <90, 61, -13*w^3 - 13*w^2 - 
    15>, <90, 62, 6*w^3 + 6*w^2 + 4>, <90, 63, -10*w^3 - 10*w^2 - 12>, <90, 64, 
    w^3 + w^2 + 1>, <90, 65, -3*w^3 - 3*w^2>, <90, 66, -w^3 - w^2 + 1>, <90, 67,
    -1>, <90, 68, -4*w^3 - 4*w^2 - 13>, <90, 70, w^3 + w^2 + 4>, <90, 71, 2*w^3 
    + 2*w^2 + 5>, <90, 72, 3*w^3 + 3*w^2 - 1>, <90, 73, -w^3 - w^2 - 2>, <90, 
    74, -1>, <90, 75, -w^3 - w^2>, <90, 76, 3>, <90, 79, -2*w^3 - 2*w^2 - 3>, 
    <90, 80, w^3 + w^2 + 2>, <90, 82, w^3 + w^2 + 1>, <90, 84, w^3 + w^2 + 1>, 
    <90, 85, 4*w^3 + 4*w^2 - 1>, <90, 86, -2*w^3 - 2*w^2 - 2>, <90, 87, -2*w^3 -
    2*w^2 - 1>, <90, 90, w^3 + w^2>, <90, 91, w^3 + w^2 + 3>, <90, 95, -w^3 - 
    w^2 - 1>, <90, 98, -2*w^3 - 2*w^2 + 2>, <90, 99, w^3 + w^2>, <90, 101, -1>, 
    <90, 102, -2*w^3 - 2*w^2 + 1>, <90, 103, 3*w^3 + 3*w^2>, <90, 104, -w^3 - 
    w^2 + 3>, <90, 105, -4*w^3 - 4*w^2>, <90, 106, 2*w^3 + 2*w^2>, <90, 108, 2>,
    <90, 110, -w^3 - w^2>, <90, 111, -w^3 - w^2>, <90, 113, -1>, <90, 114, -w^3 
    - w^2 + 1>, <90, 116, 2>, <90, 118, -w^3 - w^2 - 1>, <90, 119, w^3 + w^2 + 
    1>,  <91, 61, -5>, <91, 62, -2*w^3 - 2*w^2 - 1>, <91, 63, -5*w^3 - 5*w^2 - 
    10>, <91, 64, 1>, <91, 65, -4>, <91, 66, 2*w^3 + 2*w^2 + 3>, <91, 67, 1>, 
    <91, 68, -4*w^3 - 4*w^2 - 7>, <91, 70, -3*w^3 - 3*w^2 - 6>, <91, 71, -w^3 - 
    w^2 - 1>, <91, 72, 4>, <91, 73, w^3 + w^2 + 1>, <91, 76, 5*w^3 + 5*w^2 + 6>,
    <91, 79, -w^3 - w^2 - 2>, <91, 82, 1>, <91, 85, -w^3 - w^2 + 1>, <91, 87, 
    -1>, <91, 97, w^3 + w^2 + 2>, <91, 98, w^3 + w^2 + 1>, <91, 99, w^3 + w^2 + 
    1>, <91, 101, -w^3 - w^2 - 1>, <91, 102, -1>, <91, 103, w^3 + w^2 + 3>, <91,
    104, 2*w^3 + 2*w^2 + 3>, <91, 105, -4>, <91, 106, w^3 + w^2 + 1>, <91, 107, 
    -w^3 - w^2 - 1>, <91, 115, w^3 + w^2 + 1>, <91, 116, 2*w^3 + 2*w^2 + 2>,  
    <92, 62, -4*w^3 - 4*w^2 - 2>, <92, 63, -w^3 - w^2>, <92, 64, w^3 + w^2>, 
    <92, 65, -w^3 - w^2 - 2>, <92, 66, w^3 + w^2 - 1>, <92, 67, -1>, <92, 68, 
    -w^3 - w^2 - 1>, <92, 70, -w^3 - w^2 - 1>, <92, 71, 2*w^3 + 2*w^2 + 3>, <92,
    72, 1>, <92, 73, -w^3 - w^2>, <92, 74, w^3 + w^2 + 1>, <92, 75, -w^3 - w^2>,
    <92, 79, -w^3 - w^2 - 2>, <92, 82, 1>, <92, 85, -w^3 - w^2 + 1>, <92, 87, 
    -1>, <92, 90, -w^3 - w^2 + 1>, <92, 98, w^3 + w^2>, <92, 99, -2*w^3 - 
    2*w^2>, <92, 102, -1>, <92, 103, -w^3 - w^2>, <92, 104, -1>, <92, 105, -1>, 
    <92, 106, -w^3 - w^2 - 1>, <92, 108, w^3 + w^2 + 1>, <92, 110, w^3 + w^2 + 
    1>, <92, 115, 1>, <92, 116, -1>, <92, 117, w^3 + w^2 + 1>,  <93, 61, -w^3 - 
    w^2 - 1>, <93, 62, -2*w^3 - 2*w^2>, <93, 63, -3*w^3 - 3*w^2 + 2>, <93, 64, 
    w^3 + w^2>, <93, 65, w^3 + w^2 + 1>, <93, 67, w^3 + w^2>, <93, 68, 2*w^3 + 
    2*w^2 - 1>, <93, 70, -w^3 - w^2 + 1>, <93, 71, 1>, <93, 72, 1>, <93, 73, 1>,
    <93, 76, -w^3 - w^2 + 1>, <93, 79, -w^3 - w^2>, <93, 82, 1>, <93, 85, w^3 + 
    w^2>, <93, 87, w^3 + w^2>, <93, 105, -w^3 - w^2>, <93, 108, w^3 + w^2>, <93,
    115, 1>, <93, 117, w^3 + w^2 + 1>,  <94, 61, -w^3 - w^2 - 2>, <94, 62, -w^3 
    - w^2 - 3>, <94, 63, -2*w^3 - 2*w^2 - 4>, <94, 64, 1>, <94, 65, -2*w^3 - 
    2*w^2 - 3>, <94, 66, 1>, <94, 67, 1>, <94, 68, -w^3 - w^2 - 2>, <94, 70, 
    2*w^3 + 2*w^2 - 1>, <94, 71, w^3 + w^2 + 2>, <94, 72, w^3 + w^2 + 1>, <94, 
    73, w^3 + w^2 + 1>, <94, 76, w^3 + w^2 + 1>, <94, 79, -w^3 - w^2 - 1>, <94, 
    85, 1>, <94, 97, 1>, <94, 102, -w^3 - w^2>, <94, 103, w^3 + w^2 + 1>, <94, 
    104, 1>, <94, 105, -1>, <94, 108, w^3 + w^2 + 1>, <94, 115, w^3 + w^2 + 1>, 
    <94, 117, w^3 + w^2 + 1>,  <95, 61, 3*w^3 + 3*w^2 + 2>, <95, 62, 3>, <95, 
    63, -w^3 - w^2 + 3>, <95, 64, -1>, <95, 65, -3>, <95, 66, -2*w^3 - 2*w^2 - 
    2>, <95, 67, w^3 + w^2>, <95, 68, 2*w^3 + 2*w^2 + 2>, <95, 70, -w^3 - w^2 + 
    3>, <95, 71, 1>, <95, 72, -w^3 - w^2 - 1>, <95, 75, -2>, <95, 76, -w^3 - w^2
    - 1>, <95, 79, w^3 + w^2 + 1>, <95, 80, 1>, <95, 82, -w^3 - w^2 - 1>, <95, 
    84, w^3 + w^2 + 1>, <95, 85, w^3 + w^2>, <95, 86, -1>, <95, 87, 1>, <95, 90,
    w^3 + w^2>, <95, 91, w^3 + w^2 + 1>, <95, 97, -w^3 - w^2 - 2>, <95, 98, -1>,
    <95, 99, w^3 + w^2 - 1>, <95, 102, w^3 + w^2>, <95, 103, -2*w^3 - 2*w^2 - 
    2>, <95, 104, -w^3 - w^2 - 3>, <95, 105, w^3 + w^2 + 2>, <95, 106, -w^3 - 
    w^2 - 1>, <95, 107, w^3 + w^2 + 2>, <95, 108, -w^3 - w^2 - 1>, <95, 115, 
    -w^3 - w^2 - 1>, <95, 116, -w^3 - w^2 - 2>, <95, 117, w^3 + w^2 + 1>,  <96, 
    61, -2>, <96, 62, -5*w^3 - 5*w^2 - 2>, <96, 63, -3*w^3 - 3*w^2 - 1>, <96, 
    64, w^3 + w^2>, <96, 65, -w^3 - w^2 - 3>, <96, 66, w^3 + w^2 + 2>, <96, 67, 
    w^3 + w^2>, <96, 68, -5*w^3 - 5*w^2>, <96, 70, 4*w^3 + 4*w^2>, <96, 71, w^3 
    + w^2 + 1>, <96, 72, 2>, <96, 73, 1>, <96, 75, 2*w^3 + 2*w^2 - 1>, <96, 76, 
    -2>, <96, 79, -2*w^3 - 2*w^2 - 1>, <96, 82, -1>, <96, 85, -2*w^3 - 2*w^2 + 
    1>, <96, 87, w^3 + w^2>, <96, 97, w^3 + w^2 + 2>, <96, 98, 3*w^3 + 3*w^2 - 
    1>, <96, 99, -2*w^3 - 2*w^2 + 1>, <96, 101, w^3 + w^2>, <96, 102, -2>, <96, 
    103, 4>, <96, 104, 3*w^3 + 3*w^2 + 1>, <96, 105, -1>, <96, 106, -2*w^3 - 
    2*w^2 + 1>, <96, 107, -w^3 - w^2 - 2>, <96, 108, w^3 + w^2>, <96, 110, w^3 +
    w^2>, <96, 114, w^3 + w^2 - 1>, <96, 115, 1>, <96, 116, w^3 + w^2>, <96, 
    117, -w^3 - w^2 - 1>,  <97, 61, -3*w^3 - 3*w^2 - 7>, <97, 62, w^3 + w^2 - 
    1>, <97, 63, -10*w^3 - 10*w^2 - 1>, <97, 64, 2*w^3 + 2*w^2 - 1>, <97, 65, 
    w^3 + w^2 + 2>, <97, 66, -5*w^3 - 5*w^2 - 1>, <97, 67, w^3 + w^2 - 2>, <97, 
    68, -4*w^3 - 4*w^2 - 4>, <97, 70, w^3 + w^2 - 3>, <97, 71, -2*w^3 - 2*w^2 + 
    1>, <97, 72, 4*w^3 + 4*w^2 - 3>, <97, 73, -2*w^3 - 2*w^2 - 1>, <97, 75, 
    5*w^3 + 5*w^2>, <97, 76, 4>, <97, 79, 5>, <97, 85, 2*w^3 + 2*w^2 + 2>, <97, 
    87, -1>, <97, 90, 2*w^3 + 2*w^2>, <97, 92, -w^3 - w^2>, <97, 93, -1>, <97, 
    94, 2>, <97, 95, -w^3 - w^2 - 1>, <97, 96, w^3 + w^2 - 1>, <97, 97, 1>, <97,
    98, 2*w^3 + 2*w^2 - 1>, <97, 99, -w^3 - w^2 + 2>, <97, 101, -2>, <97, 102, 
    -w^3 - w^2 - 1>, <97, 103, 2*w^3 + 2*w^2 + 5>, <97, 104, 3*w^3 + 3*w^2 + 3>,
    <97, 105, -5*w^3 - 5*w^2 - 3>, <97, 106, -w^3 - w^2 + 2>, <97, 107, -1>, 
    <97, 108, -1>, <97, 110, -1>, <97, 111, -w^3 - w^2>, <97, 113, -w^3 - w^2 - 
    1>, <97, 114, w^3 + w^2 - 1>, <97, 115, -w^3 - w^2 + 1>, <97, 116, w^3 + w^2
    + 1>, <97, 118, -2*w^3 - 2*w^2 - 2>, <97, 119, w^3 + w^2 + 1>,  <98, 61, 
    -2>, <98, 62, 2*w^3 + 2*w^2 - 2>, <98, 63, -2*w^3 - 2*w^2 - 5>, <98, 64, 1>,
    <98, 66, w^3 + w^2 + 2>, <98, 67, 1>, <98, 68, -2*w^3 - 2*w^2 - 4>, <98, 70,
    -2*w^3 - 2*w^2 - 3>, <98, 71, -w^3 - w^2 - 2>, <98, 72, 2*w^3 + 2*w^2>, <98,
    73, w^3 + w^2 + 1>, <98, 76, 2*w^3 + 2*w^2 + 4>, <98, 79, w^3 + w^2 + 1>, 
    <98, 82, 1>, <98, 85, w^3 + w^2>, <98, 87, -w^3 - w^2 - 1>, <98, 97, w^3 + 
    w^2 + 1>, <98, 98, -w^3 - w^2>, <98, 99, 2*w^3 + 2*w^2 + 1>, <98, 101, -w^3 
    - w^2 - 1>, <98, 103, 2*w^3 + 2*w^2 + 2>, <98, 104, w^3 + w^2 + 2>, <98, 
    105, -w^3 - w^2 - 2>, <98, 106, w^3 + w^2 + 1>, <98, 108, -w^3 - w^2>, <98, 
    110, -w^3 - w^2 - 1>, <98, 115, w^3 + w^2 + 1>, <98, 116, 1>,  <99, 61, 
    -2*w^3 - 2*w^2 - 9>, <99, 62, -2*w^3 - 2*w^2>, <99, 63, -3>, <99, 64, w^3 + 
    w^2 + 1>, <99, 65, 4*w^3 + 4*w^2 + 3>, <99, 66, -2>, <99, 68, -4*w^3 - 4*w^2
    - 4>, <99, 70, -1>, <99, 71, w^3 + w^2>, <99, 72, -2*w^3 - 2*w^2 + 1>, <99, 
    75, w^3 + w^2>, <99, 76, w^3 + w^2>, <99, 79, 2*w^3 + 2*w^2 + 3>, <99, 82, 
    w^3 + w^2 + 2>, <99, 84, -w^3 - w^2 - 1>, <99, 85, -2*w^3 - 2*w^2 + 3>, <99,
    86, w^3 + w^2 + 1>, <99, 87, -2>, <99, 90, 1>, <99, 91, -1>, <99, 95, -1>, 
    <99, 98, 2*w^3 + 2*w^2 - 1>, <99, 99, w^3 + w^2 + 2>, <99, 101, -w^3 - w^2 -
    1>, <99, 102, w^3 + w^2 - 2>, <99, 103, 4>, <99, 104, 3*w^3 + 3*w^2 + 1>, 
    <99, 105, w^3 + w^2 - 4>, <99, 106, -w^3 - w^2 + 1>, <99, 108, w^3 + w^2>, 
    <99, 110, -1>, <99, 111, -1>, <99, 113, -w^3 - w^2 - 1>, <99, 114, 2*w^3 + 
    2*w^2 + 1>, <99, 115, w^3 + w^2 + 2>, <99, 116, w^3 + w^2>, <99, 117, w^3 + 
    w^2 + 1>, <99, 118, -w^3 - w^2 - 2>, <99, 119, 1>,  <100, 61, 4*w^3 + 4*w^2 
    + 12>, <100, 62, -3*w^3 - 3*w^2 - 6>, <100, 63, 7*w^3 + 7*w^2 + 10>, <100, 
    65, w^3 + w^2 + 3>, <100, 66, -3>, <100, 67, 1>, <100, 68, 7*w^3 + 7*w^2 + 
    4>, <100, 70, -7*w^3 - 7*w^2 - 1>, <100, 71, -2>, <100, 72, w^3 + w^2 - 3>, 
    <100, 73, w^3 + w^2>, <100, 74, w^3 + w^2>, <100, 75, -2*w^3 - 2*w^2 + 1>, 
    <100, 76, -2*w^3 - 2*w^2 - 1>, <100, 79, 4*w^3 + 4*w^2 + 3>, <100, 80, -w^3 
    - w^2 - 1>, <100, 84, -w^3 - w^2 - 2>, <100, 85, w^3 + w^2 - 1>, <100, 86, 
    w^3 + w^2 + 3>, <100, 87, -w^3 - w^2>, <100, 90, 1>, <100, 91, -2*w^3 - 
    2*w^2 - 2>, <100, 97, -1>, <100, 98, -2*w^3 - 2*w^2>, <100, 99, w^3 + w^2>, 
    <100, 100, -1>, <100, 103, -2>, <100, 104, -2*w^3 - 2*w^2 - 2>, <100, 105, 
    -w^3 - w^2 + 2>, <100, 106, -2>, <100, 107, w^3 + w^2 + 1>, <100, 108, -w^3 
    - w^2>, <100, 109, -w^3 - w^2>, <100, 110, 1>, <100, 112, -1>, <100, 114, 
    -w^3 - w^2 + 1>, <100, 115, 1>, <100, 116, -2*w^3 - 2*w^2 - 2>, <100, 117, 
    w^3 + w^2 + 1>,  <101, 61, -4*w^3 - 4*w^2 - 6>, <101, 62, 8*w^3 + 8*w^2 + 
    4>, <101, 63, 4*w^3 + 4*w^2 - 4>, <101, 64, -w^3 - w^2>, <101, 65, w^3 + w^2
    + 5>, <101, 66, -w^3 - w^2 - 3>, <101, 67, -w^3 - w^2 - 1>, <101, 68, w^3 + 
    w^2 - 2>, <101, 70, 5>, <101, 71, 2*w^3 + 2*w^2 + 1>, <101, 72, -2*w^3 - 
    2*w^2 - 3>, <101, 73, -w^3 - w^2 - 2>, <101, 75, -2*w^3 - 2*w^2 + 1>, <101, 
    76, -2>, <101, 79, 3*w^3 + 3*w^2>, <101, 80, w^3 + w^2 + 2>, <101, 82, -w^3 
    - w^2>, <101, 84, w^3 + w^2 + 2>, <101, 85, w^3 + w^2 + 1>, <101, 86, -2*w^3
    - 2*w^2 - 2>, <101, 87, -w^3 - w^2 + 2>, <101, 90, 1>, <101, 91, w^3 + w^2 +
    3>, <101, 95, -1>, <101, 97, -w^3 - w^2 - 1>, <101, 98, -3*w^3 - 3*w^2>, 
    <101, 99, w^3 + w^2 - 2>, <101, 101, -w^3 - w^2 + 1>, <101, 102, 1>, <101, 
    103, w^3 + w^2 - 1>, <101, 104, -w^3 - w^2>, <101, 105, -2>, <101, 106, 
    2*w^3 + 2*w^2>, <101, 107, w^3 + w^2 + 2>, <101, 108, -2*w^3 - 2*w^2>, <101,
    110, -2*w^3 - 2*w^2 - 1>, <101, 111, -1>, <101, 113, -1>, <101, 114, -w^3 - 
    w^2>, <101, 115, -1>, <101, 116, -w^3 - w^2>, <101, 117, w^3 + w^2 + 1>, 
    <101, 118, -w^3 - w^2 - 2>, <101, 119, 1>,  <102, 61, -w^3 - w^2 - 1>, <102,
    62, 9>, <102, 63, -3*w^3 - 3*w^2 + 3>, <102, 65, 3*w^3 + 3*w^2 + 3>, <102, 
    66, -1>, <102, 68, w^3 + w^2 + 2>, <102, 70, 2*w^3 + 2*w^2 + 2>, <102, 71, 
    -w^3 - w^2 - 1>, <102, 72, -2*w^3 - 2*w^2 - 1>, <102, 73, -w^3 - w^2>, <102,
    74, -w^3 - w^2 - 1>, <102, 76, -w^3 - w^2 - 1>, <102, 79, 2>, <102, 80, w^3 
    + w^2 + 1>, <102, 84, 1>, <102, 85, -w^3 - w^2 + 1>, <102, 86, -w^3 - w^2 - 
    2>, <102, 87, 2*w^3 + 2*w^2>, <102, 90, -w^3 - w^2>, <102, 91, w^3 + w^2 + 
    2>, <102, 98, -2>, <102, 99, -2*w^3 - 2*w^2 + 1>, <102, 101, w^3 + w^2>, 
    <102, 102, w^3 + w^2 + 1>, <102, 103, -w^3 - w^2>, <102, 104, -1>, <102, 
    105, 1>, <102, 106, 1>, <102, 107, 1>, <102, 108, -2>, <102, 110, -1>, <102,
    114, -1>, <102, 116, -1>,  <103, 61, 2*w^3 + 2*w^2 - 1>, <103, 62, 3*w^3 + 
    3*w^2 - 2>, <103, 63, 2*w^3 + 2*w^2 - 5>, <103, 64, -w^3 - w^2 + 1>, <103, 
    65, -3*w^3 - 3*w^2 - 5>, <103, 66, w^3 + w^2 + 3>, <103, 67, -w^3 - w^2 + 
    2>, <103, 68, w^3 + w^2 - 1>, <103, 70, -1>, <103, 71, -w^3 - w^2>, <103, 
    72, 3*w^3 + 3*w^2 + 3>, <103, 73, 2*w^3 + 2*w^2 + 1>, <103, 75, -2*w^3 - 
    2*w^2 - 2>, <103, 79, -w^3 - w^2 - 3>, <103, 82, 2>, <103, 85, -2*w^3 - 
    2*w^2 - 2>, <103, 87, -w^3 - w^2 - 1>, <103, 90, -1>, <103, 95, w^3 + w^2 + 
    1>, <103, 98, -2*w^3 - 2*w^2 + 1>, <103, 99, 2*w^3 + 2*w^2>, <103, 101, -w^3
    - w^2>, <103, 102, 1>, <103, 103, -w^3 - w^2 - 4>, <103, 104, -3*w^3 - 3*w^2
    - 2>, <103, 105, 3*w^3 + 3*w^2 + 2>, <103, 106, w^3 + w^2 - 2>, <103, 108, 
    1>, <103, 110, 1>, <103, 113, 1>, <103, 114, 1>, <103, 115, w^3 + w^2>, 
    <103, 116, -w^3 - w^2 - 1>, <103, 118, w^3 + w^2 + 2>, <103, 119, -w^3 - w^2
    - 1>,  <104, 61, 2>, <104, 62, -w^3 - w^2 - 3>, <104, 63, w^3 + w^2 - 1>, 
    <104, 64, 1>, <104, 65, w^3 + w^2 + 2>, <104, 66, 2>, <104, 68, w^3 + w^2 - 
    2>, <104, 70, -3*w^3 - 3*w^2 - 1>, <104, 71, -w^3 - w^2 - 1>, <104, 72, -w^3
    - w^2>, <104, 73, w^3 + w^2>, <104, 75, w^3 + w^2 + 2>, <104, 76, 2*w^3 + 
    2*w^2 + 2>, <104, 79, w^3 + w^2>, <104, 80, -w^3 - w^2 - 1>, <104, 82, w^3 +
    w^2>, <104, 84, -1>, <104, 85, 2*w^3 + 2*w^2>, <104, 86, 1>, <104, 87, -w^3 
    - w^2>, <104, 90, w^3 + w^2 - 1>, <104, 91, -w^3 - w^2 - 1>, <104, 97, w^3 +
    w^2 + 2>, <104, 98, -w^3 - w^2 + 1>, <104, 99, 2*w^3 + 2*w^2 - 1>, <104, 
    102, -w^3 - w^2>, <104, 103, 3*w^3 + 3*w^2 + 3>, <104, 104, w^3 + w^2 + 4>, 
    <104, 105, -2*w^3 - 2*w^2 - 2>, <104, 106, 2*w^3 + 2*w^2 + 1>, <104, 107, 
    -w^3 - w^2 - 1>, <104, 108, 1>, <104, 110, -w^3 - w^2 - 1>, <104, 114, -w^3 
    - w^2>, <104, 115, w^3 + w^2 + 1>, <104, 116, w^3 + w^2 + 2>, <104, 117, 
    -1>,  <105, 61, 9>, <105, 62, -4>, <105, 63, 6*w^3 + 6*w^2 + 6>, <105, 64, 
    -w^3 - w^2 + 1>, <105, 65, 4>, <105, 66, -w^3 - w^2 - 2>, <105, 67, -w^3 - 
    w^2>, <105, 68, 6*w^3 + 6*w^2 + 4>, <105, 70, -3*w^3 - 3*w^2>, <105, 71, 
    -w^3 - w^2 - 1>, <105, 72, -2>, <105, 73, -1>, <105, 75, -2*w^3 - 2*w^2 + 
    3>, <105, 76, -w^3 - w^2 - 1>, <105, 79, 3*w^3 + 3*w^2 + 3>, <105, 80, -w^3 
    - w^2 - 1>, <105, 84, -w^3 - w^2 - 2>, <105, 85, 3*w^3 + 3*w^2 - 2>, <105, 
    86, w^3 + w^2 + 2>, <105, 87, -w^3 - w^2>, <105, 91, -2*w^3 - 2*w^2 - 2>, 
    <105, 98, -4*w^3 - 4*w^2 + 2>, <105, 99, w^3 + w^2 - 1>, <105, 102, -2*w^3 -
    2*w^2 + 1>, <105, 103, 3*w^3 + 3*w^2 - 2>, <105, 104, -3*w^3 - 3*w^2 + 1>, 
    <105, 105, -3*w^3 - 3*w^2 + 2>, <105, 106, 2*w^3 + 2*w^2 - 2>, <105, 108, 
    -w^3 - w^2>, <105, 110, -w^3 - w^2 + 1>, <105, 113, -1>, <105, 114, -2*w^3 -
    2*w^2 + 1>, <105, 115, w^3 + w^2>, <105, 116, -2*w^3 - 2*w^2>,  <106, 61, 
    -2*w^3 - 2*w^2 - 3>, <106, 62, -2*w^3 - 2*w^2 + 3>, <106, 63, -2*w^3 - 2*w^2
    + 4>, <106, 64, -w^3 - w^2>, <106, 65, 4*w^3 + 4*w^2 + 2>, <106, 66, -2*w^3 
    - 2*w^2 - 1>, <106, 67, -w^3 - w^2 - 1>, <106, 68, 2*w^3 + 2*w^2 - 1>, <106,
    70, 3>, <106, 71, w^3 + w^2 + 2>, <106, 72, -2*w^3 - 2*w^2>, <106, 73, -1>, 
    <106, 74, 1>, <106, 75, w^3 + w^2>, <106, 76, -w^3 - w^2 - 2>, <106, 79, 
    -w^3 - w^2 - 1>, <106, 82, w^3 + w^2>, <106, 85, w^3 + w^2 - 1>, <106, 87, 
    -1>, <106, 90, w^3 + w^2 - 1>, <106, 97, -w^3 - w^2 - 1>, <106, 99, w^3 + 
    w^2 - 2>, <106, 101, w^3 + w^2>, <106, 102, 1>, <106, 103, -w^3 - w^2 - 2>, 
    <106, 104, -w^3 - w^2 - 1>, <106, 105, -w^3 - w^2 + 1>, <106, 107, 1>, <106,
    108, w^3 + w^2 + 1>, <106, 115, -1>, <106, 117, w^3 + w^2>,  <107, 61, 
    -5*w^3 - 5*w^2 - 9>, <107, 62, -5*w^3 - 5*w^2 - 6>, <107, 63, -7*w^3 - 7*w^2
    - 9>, <107, 64, w^3 + w^2 + 1>, <107, 65, -2>, <107, 66, 3*w^3 + 3*w^2 + 6>,
    <107, 67, w^3 + w^2 + 1>, <107, 68, -8*w^3 - 8*w^2 - 7>, <107, 70, w^3 + w^2
    - 3>, <107, 71, 1>, <107, 72, 2*w^3 + 2*w^2 + 3>, <107, 73, w^3 + w^2 + 2>, 
    <107, 75, 2*w^3 + 2*w^2>, <107, 76, 2*w^3 + 2*w^2 + 3>, <107, 79, -2*w^3 - 
    2*w^2 - 1>, <107, 80, -w^3 - w^2 - 1>, <107, 82, w^3 + w^2 + 1>, <107, 85, 
    2>, <107, 86, w^3 + w^2 + 1>, <107, 87, -2>, <107, 91, -1>, <107, 92, 1>, 
    <107, 93, -1>, <107, 96, -1>, <107, 97, 2*w^3 + 2*w^2 + 3>, <107, 98, 2*w^3 
    + 2*w^2>, <107, 99, 2>, <107, 101, -1>, <107, 102, -2>, <107, 103, 3*w^3 + 
    3*w^2 + 7>, <107, 104, 5*w^3 + 5*w^2 + 5>, <107, 105, -2*w^3 - 2*w^2 - 3>, 
    <107, 106, 3>, <107, 107, -w^3 - w^2 - 2>, <107, 108, 2*w^3 + 2*w^2 + 2>, 
    <107, 110, -w^3 - w^2 - 2>, <107, 114, w^3 + w^2>, <107, 115, w^3 + w^2 + 
    2>, <107, 116, 2*w^3 + 2*w^2 + 3>, <107, 117, -w^3 - w^2 - 1>,  <108, 61, 
    w^3 + w^2 + 8>, <108, 62, -2*w^3 - 2*w^2 - 1>, <108, 63, 5*w^3 + 5*w^2 + 8>,
    <108, 64, -w^3 - w^2>, <108, 65, w^3 + w^2 + 2>, <108, 66, -2>, <108, 67, 
    -w^3 - w^2>, <108, 68, 8*w^3 + 8*w^2 + 2>, <108, 70, -5*w^3 - 5*w^2 + 2>, 
    <108, 71, 2>, <108, 72, -3*w^3 - 3*w^2 - 2>, <108, 73, -w^3 - w^2 - 1>, 
    <108, 74, 1>, <108, 75, -4*w^3 - 4*w^2 + 1>, <108, 76, -2*w^3 - 2*w^2 - 2>, 
    <108, 79, 2*w^3 + 2*w^2>, <108, 82, -w^3 - w^2>, <108, 84, -w^3 - w^2 - 1>, 
    <108, 85, 2*w^3 + 2*w^2 - 1>, <108, 86, 1>, <108, 90, 1>, <108, 91, -w^3 - 
    w^2>, <108, 97, -w^3 - w^2 - 1>, <108, 98, -4*w^3 - 4*w^2 + 2>, <108, 99, 
    -2>, <108, 101, 1>, <108, 102, -w^3 - w^2 + 1>, <108, 103, w^3 + w^2 - 3>, 
    <108, 104, -3*w^3 - 3*w^2>, <108, 105, -w^3 - w^2 + 2>, <108, 106, 2*w^3 + 
    2*w^2 - 3>, <108, 107, 1>, <108, 110, 2>, <108, 114, -2*w^3 - 2*w^2 + 1>, 
    <108, 115, -1>, <108, 116, -w^3 - w^2 - 1>, <108, 117, w^3 + w^2>,  <109, 
    61, -3*w^3 - 3*w^2 + 2>, <109, 62, w^3 + w^2 + 7>, <109, 63, 3>, <109, 64, 
    -w^3 - w^2 - 1>, <109, 65, w^3 + w^2 + 1>, <109, 66, -w^3 - w^2 - 3>, <109, 
    67, -w^3 - w^2 - 1>, <109, 68, 4*w^3 + 4*w^2>, <109, 70, -5*w^3 - 5*w^2 + 
    2>, <109, 71, -w^3 - w^2 - 1>, <109, 72, -w^3 - w^2 + 1>, <109, 73, -w^3 - 
    w^2 - 2>, <109, 75, -2*w^3 - 2*w^2 + 1>, <109, 76, -w^3 - w^2 - 1>, <109, 
    79, 2*w^3 + 2*w^2 + 1>, <109, 82, w^3 + w^2>, <109, 85, w^3 + w^2 - 2>, 
    <109, 86, -w^3 - w^2>, <109, 91, 1>, <109, 97, -w^3 - w^2 - 2>, <109, 98, 
    -2*w^3 - 2*w^2 + 1>, <109, 99, w^3 + w^2>, <109, 101, -1>, <109, 102, 1>, 
    <109, 103, -w^3 - w^2 - 4>, <109, 104, -3*w^3 - 3*w^2 - 2>, <109, 105, -w^3 
    - w^2 + 3>, <109, 106, w^3 + w^2 - 2>, <109, 107, 1>, <109, 108, -w^3 - w^2 
    - 1>, <109, 110, 1>, <109, 114, -w^3 - w^2 + 1>, <109, 115, -w^3 - w^2 - 2>,
    <109, 116, -w^3 - w^2 - 1>, <109, 117, -1>, <109, 120, -1>,  <110, 61, w^3 +
    w^2 - 1>, <110, 62, -2*w^3 - 2*w^2 + 3>, <110, 63, 4*w^3 + 4*w^2 + 7>, <110,
    64, -w^3 - w^2 - 1>, <110, 65, 3*w^3 + 3*w^2 + 1>, <110, 66, -w^3 - w^2 - 
    3>, <110, 67, -w^3 - w^2 - 1>, <110, 68, 3*w^3 + 3*w^2 + 5>, <110, 70, 3*w^3
    + 3*w^2 + 6>, <110, 71, 2*w^3 + 2*w^2 + 3>, <110, 72, -4*w^3 - 4*w^2 - 1>, 
    <110, 73, -w^3 - w^2 - 2>, <110, 76, -3*w^3 - 3*w^2 - 7>, <110, 79, -w^3 - 
    w^2 - 2>, <110, 82, -w^3 - w^2 - 1>, <110, 85, -w^3 - w^2>, <110, 87, w^3 + 
    w^2 + 1>, <110, 97, -w^3 - w^2 - 2>, <110, 98, w^3 + w^2>, <110, 99, -w^3 - 
    w^2 - 3>, <110, 101, w^3 + w^2 + 2>, <110, 102, w^3 + w^2>, <110, 103, 
    -3*w^3 - 3*w^2 - 3>, <110, 104, -w^3 - w^2 - 3>, <110, 105, 3*w^3 + 3*w^2 + 
    2>, <110, 106, -w^3 - w^2 - 1>, <110, 107, 1>, <110, 108, w^3 + w^2 + 1>, 
    <110, 110, w^3 + w^2 + 1>, <110, 115, -w^3 - w^2 - 2>, <110, 116, -1>,  
    <111, 61, -w^3 - w^2 - 11>, <111, 62, -2*w^3 - 2*w^2 + 1>, <111, 63, -11*w^3
    - 11*w^2 - 6>, <111, 64, 2*w^3 + 2*w^2>, <111, 65, 4*w^3 + 4*w^2 + 2>, <111,
    66, -2*w^3 - 2*w^2 + 2>, <111, 67, w^3 + w^2 - 1>, <111, 68, -7*w^3 - 7*w^2 
    - 8>, <111, 69, -w^3 - w^2>, <111, 70, w^3 + w^2 - 5>, <111, 71, -w^3 - 
    w^2>, <111, 72, w^3 + w^2>, <111, 73, -w^3 - w^2>, <111, 75, 6*w^3 + 6*w^2 -
    1>, <111, 76, 4*w^3 + 4*w^2 + 7>, <111, 77, -w^3 - w^2>, <111, 78, w^3 + 
    w^2>, <111, 79, 4>, <111, 82, w^3 + w^2 + 1>, <111, 85, w^3 + w^2 + 4>, 
    <111, 87, -w^3 - w^2 - 1>, <111, 89, -1>, <111, 90, 2*w^3 + 2*w^2>, <111, 
    95, -w^3 - w^2 - 1>, <111, 97, w^3 + w^2 + 2>, <111, 98, 4*w^3 + 4*w^2 - 2>,
    <111, 99, w^3 + w^2 + 2>, <111, 101, -w^3 - w^2 - 2>, <111, 102, -2>, <111, 
    103, 2*w^3 + 2*w^2 + 9>, <111, 104, 6*w^3 + 6*w^2 + 5>, <111, 105, -2*w^3 - 
    2*w^2 - 7>, <111, 106, -w^3 - w^2 + 4>, <111, 107, -w^3 - w^2 - 1>, <111, 
    110, -3>, <111, 111, -w^3 - w^2>, <111, 113, -w^3 - w^2 - 1>, <111, 114, 
    2*w^3 + 2*w^2 - 1>, <111, 115, 2>, <111, 116, 3*w^3 + 3*w^2 + 2>, <111, 118,
    -2*w^3 - 2*w^2 - 2>, <111, 119, w^3 + w^2 + 1>,  <112, 62, -w^3 - w^2 + 2>, 
    <112, 63, -3*w^3 - 3*w^2 - 2>, <112, 65, -2>, <112, 66, -w^3 - w^2 - 1>, 
    <112, 70, -2*w^3 - 2*w^2 - 2>, <112, 71, -2*w^3 - 2*w^2 - 1>, <112, 72, -w^3
    - w^2 + 1>, <112, 76, w^3 + w^2 + 1>, <112, 79, 2*w^3 + 2*w^2 + 3>, <112, 
    81, 1>, <112, 82, 1>, <112, 83, w^3 + w^2>, <112, 87, -w^3 - w^2 - 2>, <112,
    99, w^3 + w^2 + 1>, <112, 100, 1>, <112, 101, -w^3 - w^2 - 1>, <112, 108, 
    -w^3 - w^2 - 1>, <112, 114, 1>, <112, 120, w^3 + w^2>,  <113, 61, 4*w^3 + 
    4*w^2 + 3>, <113, 62, -2*w^3 - 2*w^2 - 3>, <113, 63, -8*w^3 - 8*w^2>, <113, 
    64, -1>, <113, 65, -2*w^3 - 2*w^2 - 9>, <113, 66, -w^3 - w^2 + 3>, <113, 67,
    1>, <113, 68, w^3 + w^2 - 2>, <113, 69, 1>, <113, 70, -2>, <113, 71, -w^3 - 
    w^2 + 2>, <113, 72, 4*w^3 + 4*w^2 + 1>, <113, 73, 1>, <113, 75, 2*w^3 + 
    2*w^2 - 2>, <113, 76, 4>, <113, 77, -w^3 - w^2>, <113, 78, -1>, <113, 79, 
    -4*w^3 - 4*w^2 - 2>, <113, 81, -2>, <113, 82, -w^3 - w^2 - 1>, <113, 83, 1>,
    <113, 84, 1>, <113, 85, -2>, <113, 88, -1>, <113, 90, w^3 + w^2 - 1>, <113, 
    95, -w^3 - w^2>, <113, 98, w^3 + w^2>, <113, 99, w^3 + w^2 - 1>, <113, 103, 
    -2*w^3 - 2*w^2 - 2>, <113, 104, -w^3 - w^2 - 2>, <113, 105, w^3 + w^2 + 2>, 
    <113, 106, -w^3 - w^2 - 1>, <113, 110, w^3 + w^2 + 1>, <113, 111, -w^3 - w^2
    + 1>, <113, 113, 1>, <113, 114, -1>, <113, 115, -w^3 - w^2 - 1>, <113, 116, 
    -1>, <113, 117, -1>, <113, 118, 2>, <113, 119, -1>,  <114, 61, -5*w^3 - 
    5*w^2 - 12>, <114, 62, 3*w^3 + 3*w^2 + 5>, <114, 63, -8*w^3 - 8*w^2 - 16>, 
    <114, 65, -3*w^3 - 3*w^2 - 6>, <114, 66, w^3 + w^2 + 2>, <114, 67, -w^3 - 
    w^2 + 1>, <114, 68, -6*w^3 - 6*w^2 - 9>, <114, 70, 3*w^3 + 3*w^2 - 2>, <114,
    71, w^3 + w^2 + 2>, <114, 72, 2*w^3 + 2*w^2 + 2>, <114, 73, w^3 + w^2>, 
    <114, 74, -1>, <114, 76, 4*w^3 + 4*w^2 + 6>, <114, 79, -3*w^3 - 3*w^2 - 5>, 
    <114, 80, w^3 + w^2 + 1>, <114, 84, w^3 + w^2 + 2>, <114, 85, -2*w^3 - 2*w^2
    + 2>, <114, 86, -w^3 - w^2 - 3>, <114, 87, -1>, <114, 90, -w^3 - w^2>, <114,
    91, 2*w^3 + 2*w^2 + 2>, <114, 97, 1>, <114, 98, w^3 + w^2>, <114, 99, -w^3 -
    w^2 + 1>, <114, 101, -1>, <114, 102, 1>, <114, 103, 1>, <114, 104, w^3 + w^2
    + 2>, <114, 105, w^3 + w^2 - 3>, <114, 106, w^3 + w^2 + 2>, <114, 108, w^3 +
    w^2 + 1>, <114, 110, -1>, <114, 113, 1>, <114, 114, -1>, <114, 115, -1>, 
    <114, 116, 2*w^3 + 2*w^2 + 2>,  <115, 61, 2*w^3 + 2*w^2 + 6>, <115, 62, -2>,
    <115, 63, 2>, <115, 65, -2*w^3 - 2*w^2 - 2>, <115, 66, w^3 + w^2 + 5>, <115,
    67, 1>, <115, 68, w^3 + w^2 + 2>, <115, 70, -w^3 - w^2>, <115, 71, -2*w^3 - 
    2*w^2 + 2>, <115, 72, 2*w^3 + 2*w^2 - 1>, <115, 73, w^3 + w^2 + 1>, <115, 
    75, -1>, <115, 76, -w^3 - w^2 + 1>, <115, 79, -2*w^3 - 2*w^2 - 3>, <115, 81,
    -w^3 - w^2>, <115, 82, -w^3 - w^2 - 1>, <115, 83, w^3 + w^2>, <115, 85, w^3 
    + w^2 - 2>, <115, 87, w^3 + w^2 + 1>, <115, 90, -1>, <115, 92, 1>, <115, 93,
    w^3 + w^2>, <115, 94, -w^3 - w^2 - 1>, <115, 96, w^3 + w^2 - 1>, <115, 97, 
    w^3 + w^2>, <115, 98, -w^3 - w^2 + 1>, <115, 99, -w^3 - w^2 - 1>, <115, 101,
    w^3 + w^2 + 1>, <115, 102, 1>, <115, 103, -2>, <115, 104, -w^3 - w^2>, <115,
    105, -w^3 - w^2 + 3>, <115, 106, w^3 + w^2>, <115, 108, 1>, <115, 111, 1>, 
    <115, 113, 1>, <115, 114, -w^3 - w^2>, <115, 116, 1>, <115, 117, -w^3 - 
    w^2>, <115, 118, w^3 + w^2 + 2>, <115, 119, -1>,  <116, 61, 7*w^3 + 7*w^2 - 
    3>, <116, 62, -4*w^3 - 4*w^2 - 2>, <116, 63, -2*w^3 - 2*w^2 + 3>, <116, 64, 
    2*w^3 + 2*w^2 - 1>, <116, 65, w^3 + w^2 - 5>, <116, 66, 2>, <116, 67, 2*w^3 
    + 2*w^2>, <116, 68, -3*w^3 - 3*w^2 + 3>, <116, 70, 4*w^3 + 4*w^2 + 1>, <116,
    71, w^3 + w^2 + 1>, <116, 73, 1>, <116, 75, 4*w^3 + 4*w^2 - 4>, <116, 76, 
    -2*w^3 - 2*w^2 - 3>, <116, 79, -2*w^3 - 2*w^2 - 1>, <116, 82, -w^3 - w^2 - 
    1>, <116, 85, -4*w^3 - 4*w^2 + 2>, <116, 86, w^3 + w^2>, <116, 87, 2*w^3 + 
    2*w^2 + 1>, <116, 90, w^3 + w^2>, <116, 91, w^3 + w^2 - 1>, <116, 98, 6*w^3 
    + 6*w^2 - 2>, <116, 99, -2*w^3 - 2*w^2>, <116, 101, w^3 + w^2 + 1>, <116, 
    102, 2*w^3 + 2*w^2 - 3>, <116, 103, -4*w^3 - 4*w^2 + 3>, <116, 104, 4*w^3 + 
    4*w^2 - 2>, <116, 105, 4*w^3 + 4*w^2 - 1>, <116, 106, -4*w^3 - 4*w^2 + 1>, 
    <116, 107, -1>, <116, 108, w^3 + w^2>, <116, 110, 2*w^3 + 2*w^2>, <116, 113,
    -w^3 - w^2>, <116, 114, 3*w^3 + 3*w^2 - 1>, <116, 115, -w^3 - w^2 + 1>, 
    <116, 116, 2*w^3 + 2*w^2 - 1>,  <117, 61, 2*w^3 + 2*w^2 + 13>, <117, 62, 
    -4>, <117, 63, w^3 + w^2 + 9>, <117, 64, w^3 + w^2>, <117, 65, -2*w^3 - 
    2*w^2 + 1>, <117, 66, -3*w^3 - 3*w^2 - 1>, <117, 67, w^3 + w^2>, <117, 68, 
    6*w^3 + 6*w^2 + 4>, <117, 70, -4*w^3 - 4*w^2 - 1>, <117, 71, -4*w^3 - 4*w^2 
    - 3>, <117, 72, 4*w^3 + 4*w^2 - 1>, <117, 73, 1>, <117, 76, -2*w^3 - 2*w^2 +
    1>, <117, 79, w^3 + w^2 + 3>, <117, 80, -w^3 - w^2 - 1>, <117, 82, w^3 + 
    w^2>, <117, 84, -w^3 - w^2 - 2>, <117, 85, 3*w^3 + 3*w^2 - 4>, <117, 86, w^3
    + w^2 + 2>, <117, 87, -w^3 - w^2>, <117, 90, w^3 + w^2 - 1>, <117, 91, 
    -2*w^3 - 2*w^2 - 2>, <117, 92, -w^3 - w^2 - 1>, <117, 93, w^3 + w^2>, <117, 
    94, 1>, <117, 95, 1>, <117, 96, w^3 + w^2>, <117, 98, -2*w^3 - 2*w^2 + 1>, 
    <117, 99, w^3 + w^2 + 1>, <117, 101, -1>, <117, 102, -2*w^3 - 2*w^2 + 1>, 
    <117, 103, w^3 + w^2 - 3>, <117, 104, -3*w^3 - 3*w^2 - 1>, <117, 105, -4*w^3
    - 4*w^2 + 4>, <117, 106, -2>, <117, 107, -1>, <117, 108, -w^3 - w^2 - 1>, 
    <117, 110, 1>, <117, 111, -w^3 - w^2>, <117, 114, -w^3 - w^2 + 1>, <117, 
    115, 1>, <117, 116, -2*w^3 - 2*w^2 - 1>, <117, 118, 1>, <117, 119, -1>,  
    <118, 61, -3*w^3 - 3*w^2 - 3>, <118, 62, 6*w^3 + 6*w^2 + 5>, <118, 63, 
    -2*w^3 - 2*w^2 - 12>, <118, 64, -w^3 - w^2>, <118, 65, -8*w^3 - 8*w^2 - 9>, 
    <118, 66, 3*w^3 + 3*w^2 + 1>, <118, 68, -6>, <118, 69, -w^3 - w^2>, <118, 
    70, 1>, <118, 71, 2*w^3 + 2*w^2 + 1>, <118, 72, 3*w^3 + 3*w^2 + 5>, <118, 
    73, w^3 + w^2>, <118, 74, w^3 + w^2>, <118, 75, -6*w^3 - 6*w^2 - 2>, <118, 
    76, w^3 + w^2 + 2>, <118, 77, w^3 + w^2>, <118, 79, -3*w^3 - 3*w^2 - 7>, 
    <118, 80, w^3 + w^2 + 2>, <118, 82, w^3 + w^2 + 1>, <118, 84, 2*w^3 + 2*w^2 
    + 2>, <118, 85, -2*w^3 - 2*w^2 - 3>, <118, 86, -2*w^3 - 2*w^2 - 3>, <118, 
    87, -w^3 - w^2 - 2>, <118, 89, w^3 + w^2>, <118, 90, -2*w^3 - 2*w^2>, <118, 
    91, 2*w^3 + 2*w^2 + 3>, <118, 95, w^3 + w^2 + 1>, <118, 97, -w^3 - w^2 - 2>,
    <118, 98, -2*w^3 - 2*w^2 + 1>, <118, 99, 1>, <118, 101, -w^3 - w^2 - 1>, 
    <118, 102, 2>, <118, 103, -3*w^3 - 3*w^2 - 8>, <118, 104, -5*w^3 - 5*w^2 - 
    5>, <118, 105, 3*w^3 + 3*w^2 + 4>, <118, 106, -3>, <118, 107, 1>, <118, 110,
    2>, <118, 113, 2*w^3 + 2*w^2 + 1>, <118, 114, -w^3 - w^2 + 1>, <118, 115, 
    -w^3 - w^2 - 2>, <118, 116, -2*w^3 - 2*w^2 - 2>, <118, 118, 2*w^3 + 2*w^2 + 
    2>, <118, 119, -w^3 - w^2 - 1>,  <119, 61, 8*w^3 + 8*w^2 + 3>, <119, 62, 
    -3*w^3 - 3*w^2 - 5>, <119, 63, -4*w^3 - 4*w^2 - 4>, <119, 64, 1>, <119, 65, 
    -2*w^3 - 2*w^2 - 10>, <119, 66, w^3 + w^2 + 7>, <119, 67, w^3 + w^2 + 4>, 
    <119, 68, 2*w^3 + 2*w^2 - 5>, <119, 69, -w^3 - w^2 + 1>, <119, 70, -4*w^3 - 
    4*w^2 - 3>, <119, 71, -3*w^3 - 3*w^2 - 1>, <119, 72, 3*w^3 + 3*w^2 + 5>, 
    <119, 73, 4*w^3 + 4*w^2 + 5>, <119, 74, 1>, <119, 75, -4>, <119, 76, 2*w^3 +
    2*w^2 + 4>, <119, 77, -w^3 - w^2>, <119, 78, w^3 + w^2 - 1>, <119, 79, -w^3 
    - w^2 - 3>, <119, 82, 1>, <119, 84, 1>, <119, 85, -w^3 - w^2 - 2>, <119, 87,
    -w^3 - w^2>, <119, 89, w^3 + w^2>, <119, 90, 2*w^3 + 2*w^2 - 2>, <119, 95, 
    w^3 + w^2 + 1>, <119, 97, w^3 + w^2 + 2>, <119, 98, -w^3 - w^2>, <119, 99, 
    5*w^3 + 5*w^2>, <119, 101, -w^3 - w^2>, <119, 104, -w^3 - w^2>, <119, 105, 
    2*w^3 + 2*w^2>, <119, 106, w^3 + w^2 - 1>, <119, 107, -w^3 - w^2>, <119, 
    108, -w^3 - w^2>, <119, 111, 1>, <119, 113, 2>, <119, 115, 2*w^3 + 2*w^2 + 
    2>, <119, 116, -1>, <119, 117, w^3 + w^2>, <119, 118, w^3 + w^2 + 3>, <119, 
    119, -w^3 - w^2 - 1>,  <120, 61, -w^3 - w^2 + 3>, <120, 62, -5*w^3 - 5*w^2 -
    1>, <120, 63, w^3 + w^2 + 8>, <120, 64, w^3 + w^2 - 1>, <120, 65, 4*w^3 + 
    4*w^2 + 6>, <120, 66, -2>, <120, 67, w^3 + w^2 - 1>, <120, 68, 3*w^3 + 3*w^2
    + 1>, <120, 70, -7*w^3 - 7*w^2 - 1>, <120, 71, -w^3 - w^2 - 2>, <120, 72, 
    1>, <120, 73, -w^3 - w^2>, <120, 75, 1>, <120, 76, 1>, <120, 79, 2*w^3 + 
    2*w^2 + 1>, <120, 80, -w^3 - w^2 - 1>, <120, 82, w^3 + w^2 + 1>, <120, 84, 
    -w^3 - w^2 - 2>, <120, 85, w^3 + w^2>, <120, 86, w^3 + w^2 + 3>, <120, 91, 
    -2*w^3 - 2*w^2 - 2>, <120, 99, 1>, <120, 101, -1>, <120, 102, w^3 + w^2>, 
    <120, 103, 1>, <120, 104, w^3 + w^2>, <120, 105, -2*w^3 - 2*w^2 + 1>, <120, 
    109, 1>, <120, 114, 1>, <120, 115, -w^3 - w^2>, <120, 116, w^3 + w^2 + 1>, 
    <120, 117, -1>, <120, 120, -1>,  <121, 124, -2*w^3 - 2*w^2 - 1>, <121, 125, 
    w^3 + w^2 + 2>, <121, 127, w^3 + w^2 + 2>, <121, 135, 2*w^3 + 2*w^2 + 3>, 
    <121, 139, 2>, <121, 141, -2>, <121, 145, -2*w^3 - 2*w^2 - 2>, <121, 149, 
    -1>, <121, 156, -1>, <121, 158, -w^3 - w^2 - 2>,  <122, 122, 2*w^3 + 2*w^2 -
    1>, <122, 124, -2*w^3 - 2*w^2 - 1>, <122, 125, w^3 + w^2 + 2>, <122, 127, 
    w^3 + w^2 + 2>, <122, 135, 2*w^3 + 2*w^2 + 3>, <122, 136, -w^3 - w^2 - 1>, 
    <122, 139, 2>, <122, 140, w^3 + w^2>, <122, 141, -2>, <122, 143, 2>, <122, 
    145, -2*w^3 - 2*w^2 - 2>, <122, 147, 2*w^3 + 2*w^2 + 1>, <122, 149, -1>, 
    <122, 152, 1>, <122, 155, 1>, <122, 156, -1>, <122, 158, -w^3 - w^2 - 2>, 
    <122, 159, -w^3 - w^2 - 1>,  <123, 123, w^3 + w^2 - 1>, <123, 124, -2*w^3 - 
    2*w^2 - 1>, <123, 125, w^3 + w^2 + 2>, <123, 127, w^3 + w^2 + 2>, <123, 128,
    -1>, <123, 133, -w^3 - w^2 - 1>, <123, 135, 2*w^3 + 2*w^2 + 3>, <123, 137, 
    w^3 + w^2 - 1>, <123, 139, 2>, <123, 141, -2>, <123, 144, -w^3 - w^2 + 1>, 
    <123, 145, -2*w^3 - 2*w^2 - 2>, <123, 149, -1>, <123, 150, 2*w^3 + 2*w^2 + 
    1>, <123, 151, 1>, <123, 153, 1>, <123, 156, -1>, <123, 157, 1>, <123, 158, 
    -w^3 - w^2 - 2>,  <124, 121, w^3 + w^2>, <124, 124, -2*w^3 - 2*w^2 - 1>, 
    <124, 125, w^3 + w^2 + 2>, <124, 127, w^3 + w^2 + 2>, <124, 129, -1>, <124, 
    130, w^3 + w^2 + 1>, <124, 134, w^3 + w^2>, <124, 135, 2*w^3 + 2*w^2 + 3>, 
    <124, 139, 2>, <124, 141, -2>, <124, 142, 2>, <124, 145, -2*w^3 - 2*w^2 - 
    2>, <124, 146, -w^3 - w^2>, <124, 148, w^3 + w^2 + 1>, <124, 149, -1>, <124,
    156, -1>, <124, 158, -w^3 - w^2 - 2>, <124, 160, w^3 + w^2 + 1>,  <125, 124,
    w^3 + w^2 + 2>, <125, 125, -2*w^3 - 2*w^2 - 1>, <125, 127, -2*w^3 - 2*w^2 - 
    2>, <125, 129, w^3 + w^2 - 1>, <125, 130, -w^3 - w^2 - 3>, <125, 134, -2>, 
    <125, 135, -2*w^3 - 2*w^2 - 3>, <125, 138, -w^3 - w^2 - 2>, <125, 139, 
    -2*w^3 - 2*w^2 - 1>, <125, 141, 2*w^3 + 2*w^2 + 1>, <125, 142, -2*w^3 - 
    2*w^2 - 1>, <125, 145, 1>, <125, 146, 2>, <125, 148, w^3 + w^2 + 1>, <125, 
    149, w^3 + w^2>, <125, 154, w^3 + w^2 + 1>, <125, 158, 2*w^3 + 2*w^2 + 3>, 
    <125, 160, -w^3 - w^2 - 2>,  <126, 122, 2*w^3 + 2*w^2 - 1>, <126, 124, -w^3 
    - w^2 + 1>, <126, 125, -1>, <126, 127, -w^3 - w^2 - 1>, <126, 132, -w^3 - 
    w^2>, <126, 135, -w^3 - w^2 - 2>, <126, 136, 1>, <126, 139, -w^3 - w^2>, 
    <126, 140, -1>, <126, 141, w^3 + w^2>, <126, 143, -w^3 - w^2>, <126, 145, 
    1>, <126, 147, -1>, <126, 155, -w^3 - w^2>, <126, 156, w^3 + w^2>, <126, 
    158, w^3 + w^2 + 1>, <126, 159, 1>,  <127, 121, w^3 + w^2>, <127, 124, -w^3 
    - w^2 + 1>, <127, 125, -1>, <127, 127, -w^3 - w^2 - 1>, <127, 130, -1>, 
    <127, 134, -1>, <127, 135, -w^3 - w^2 - 2>, <127, 139, -w^3 - w^2>, <127, 
    141, w^3 + w^2>, <127, 142, -w^3 - w^2>, <127, 145, 1>, <127, 146, 1>, <127,
    156, w^3 + w^2>, <127, 158, w^3 + w^2 + 1>, <127, 160, -1>,  <128, 123, w^3 
    + w^2>, <128, 124, w^3 + w^2 + 2>, <128, 125, -2*w^3 - 2*w^2 - 1>, <128, 
    127, -2*w^3 - 2*w^2 - 2>, <128, 128, w^3 + w^2 - 1>, <128, 131, -1>, <128, 
    135, -2*w^3 - 2*w^2 - 3>, <128, 137, w^3 + w^2 - 1>, <128, 139, -2*w^3 - 
    2*w^2 - 1>, <128, 141, 2*w^3 + 2*w^2 + 1>, <128, 144, -w^3 - w^2 + 1>, <128,
    145, 1>, <128, 149, w^3 + w^2>, <128, 150, w^3 + w^2 - 1>, <128, 151, -w^3 -
    w^2>, <128, 157, -w^3 - w^2 - 1>, <128, 158, 2*w^3 + 2*w^2 + 3>,  <129, 124,
    w^3 + w^2 + 2>, <129, 125, -2*w^3 - 2*w^2 - 1>, <129, 127, -2*w^3 - 2*w^2 - 
    2>, <129, 135, -2*w^3 - 2*w^2 - 3>, <129, 139, -2*w^3 - 2*w^2 - 1>, <129, 
    141, 2*w^3 + 2*w^2 + 1>, <129, 145, 1>, <129, 149, w^3 + w^2>, <129, 158, 
    2*w^3 + 2*w^2 + 3>,  <130, 124, -w^3 - w^2 + 1>, <130, 125, -1>, <130, 127, 
    -w^3 - w^2 - 1>, <130, 135, -w^3 - w^2 - 2>, <130, 139, -w^3 - w^2>, <130, 
    141, w^3 + w^2>, <130, 145, 1>, <130, 156, w^3 + w^2>, <130, 158, w^3 + w^2 
    + 1>,  <131, 123, w^3 + w^2>, <131, 124, -w^3 - w^2 + 1>, <131, 125, -1>, 
    <131, 127, -w^3 - w^2 - 1>, <131, 133, 1>, <131, 135, -w^3 - w^2 - 2>, <131,
    137, w^3 + w^2 - 1>, <131, 139, -w^3 - w^2>, <131, 141, w^3 + w^2>, <131, 
    144, -w^3 - w^2 + 1>, <131, 145, 1>, <131, 150, -1>, <131, 153, -w^3 - w^2>,
    <131, 156, w^3 + w^2>, <131, 157, -w^3 - w^2>, <131, 158, w^3 + w^2 + 1>,  
    <132, 122, w^3 + w^2 - 1>, <132, 124, w^3 + w^2 + 2>, <132, 125, -2*w^3 - 
    2*w^2 - 1>, <132, 126, -1>, <132, 127, -2*w^3 - 2*w^2 - 2>, <132, 132, -2>, 
    <132, 135, -2*w^3 - 2*w^2 - 3>, <132, 139, -2*w^3 - 2*w^2 - 1>, <132, 140, 
    -2>, <132, 141, 2*w^3 + 2*w^2 + 1>, <132, 143, -2*w^3 - 2*w^2 - 1>, <132, 
    145, 1>, <132, 147, w^3 + w^2 - 1>, <132, 149, w^3 + w^2>, <132, 152, -w^3 -
    w^2>, <132, 158, 2*w^3 + 2*w^2 + 3>, <132, 159, w^3 + w^2 + 2>,  <133, 123, 
    -1>, <133, 124, -w^3 - w^2 - 1>, <133, 125, w^3 + w^2 + 1>, <133, 127, w^3 +
    w^2 + 2>, <133, 133, -w^3 - w^2 - 1>, <133, 135, 2*w^3 + 2*w^2 + 3>, <133, 
    137, w^3 + w^2>, <133, 139, 1>, <133, 141, -1>, <133, 144, -w^3 - w^2>, 
    <133, 145, -w^3 - w^2 - 2>, <133, 149, -1>, <133, 150, w^3 + w^2 + 1>, <133,
    151, 1>, <133, 153, 1>, <133, 156, -1>, <133, 157, 1>, <133, 158, -w^3 - w^2
    - 2>,  <134, 124, -w^3 - w^2 - 1>, <134, 125, w^3 + w^2 + 1>, <134, 127, 
    2*w^3 + 2*w^2 + 1>, <134, 135, w^3 + w^2 + 2>, <134, 139, w^3 + w^2 + 1>, 
    <134, 141, -w^3 - w^2 - 1>, <134, 158, -2*w^3 - 2*w^2 - 2>,  <135, 124, -w^3
    - w^2 - 1>, <135, 125, w^3 + w^2 + 1>, <135, 127, w^3 + w^2 + 2>, <135, 130,
    w^3 + w^2 + 1>, <135, 134, w^3 + w^2 + 1>, <135, 135, 2*w^3 + 2*w^2 + 3>, 
    <135, 139, 1>, <135, 141, -1>, <135, 142, 1>, <135, 145, -w^3 - w^2 - 2>, 
    <135, 146, -w^3 - w^2>, <135, 148, 1>, <135, 149, -1>, <135, 156, -1>, <135,
    158, -w^3 - w^2 - 2>, <135, 160, w^3 + w^2 + 1>,  <136, 122, w^3 + w^2 - 1>,
    <136, 124, -w^3 - w^2 - 1>, <136, 125, w^3 + w^2 + 1>, <136, 127, w^3 + w^2 
    + 2>, <136, 132, 1>, <136, 135, 2*w^3 + 2*w^2 + 3>, <136, 136, -w^3 - w^2 - 
    1>, <136, 139, 1>, <136, 140, w^3 + w^2 + 1>, <136, 141, -1>, <136, 143, 1>,
    <136, 145, -w^3 - w^2 - 2>, <136, 147, w^3 + w^2 + 1>, <136, 149, -1>, <136,
    152, 1>, <136, 155, 1>, <136, 156, -1>, <136, 158, -w^3 - w^2 - 2>, <136, 
    159, -w^3 - w^2 - 1>,  <137, 123, w^3 + w^2 - 1>, <137, 124, -w^3 - w^2 - 
    1>, <137, 125, w^3 + w^2 + 1>, <137, 127, 2*w^3 + 2*w^2 + 1>, <137, 128, 
    -w^3 - w^2 + 1>, <137, 131, 1>, <137, 133, w^3 + w^2>, <137, 135, w^3 + w^2 
    + 2>, <137, 137, -w^3 - w^2 + 1>, <137, 139, w^3 + w^2 + 1>, <137, 141, -w^3
    - w^2 - 1>, <137, 144, w^3 + w^2 - 1>, <137, 157, 2*w^3 + 2*w^2>, <137, 158,
    -2*w^3 - 2*w^2 - 2>,  <138, 124, -w^3 - w^2 - 1>, <138, 125, w^3 + w^2 + 1>,
    <138, 127, w^3 + w^2 + 2>, <138, 135, 2*w^3 + 2*w^2 + 3>, <138, 139, 1>, 
    <138, 141, -1>, <138, 145, -w^3 - w^2 - 2>, <138, 149, -1>, <138, 156, -1>, 
    <138, 158, -w^3 - w^2 - 2>,  <139, 121, w^3 + w^2 - 1>, <139, 124, -w^3 - 
    w^2 - 1>, <139, 125, w^3 + w^2 + 1>, <139, 127, 2*w^3 + 2*w^2 + 1>, <139, 
    129, -w^3 - w^2 + 1>, <139, 130, 3>, <139, 134, w^3 + w^2 + 1>, <139, 135, 
    w^3 + w^2 + 2>, <139, 138, w^3 + w^2 + 2>, <139, 139, w^3 + w^2 + 1>, <139, 
    141, -w^3 - w^2 - 1>, <139, 142, w^3 + w^2 + 1>, <139, 146, -2>, <139, 148, 
    -2>, <139, 154, -2*w^3 - 2*w^2>, <139, 158, -2*w^3 - 2*w^2 - 2>, <139, 160, 
    2>,  <140, 122, -w^3 - w^2 + 1>, <140, 124, -w^3 - w^2 - 1>, <140, 125, w^3 
    + w^2 + 1>, <140, 126, 1>, <140, 127, 2*w^3 + 2*w^2 + 1>, <140, 132, w^3 + 
    w^2 + 1>, <140, 135, w^3 + w^2 + 2>, <140, 136, w^3 + w^2>, <140, 139, w^3 +
    w^2 + 1>, <140, 140, w^3 + w^2 + 1>, <140, 141, -w^3 - w^2 - 1>, <140, 143, 
    w^3 + w^2 + 1>, <140, 158, -2*w^3 - 2*w^2 - 2>, <140, 159, -2>,  <141, 121, 
    -1>, <141, 124, w^3 + w^2 + 2>, <141, 125, -w^3 - w^2 - 1>, <141, 127, -w^3 
    - w^2 - 2>, <141, 130, -w^3 - w^2 - 1>, <141, 134, -1>, <141, 135, -2*w^3 - 
    2*w^2 - 3>, <141, 139, -w^3 - w^2 - 1>, <141, 141, w^3 + w^2 + 1>, <141, 
    142, -w^3 - w^2 - 1>, <141, 145, w^3 + w^2 + 2>, <141, 148, -1>, <141, 149, 
    w^3 + w^2 + 1>, <141, 154, -w^3 - w^2>, <141, 156, w^3 + w^2 + 1>, <141, 
    158, w^3 + w^2 + 2>, <141, 160, -w^3 - w^2 - 1>,  <142, 124, w^3 + w^2 + 2>,
    <142, 125, -w^3 - w^2 - 1>, <142, 127, -w^3 - w^2 - 2>, <142, 135, -2*w^3 - 
    2*w^2 - 3>, <142, 139, -w^3 - w^2 - 1>, <142, 141, w^3 + w^2 + 1>, <142, 
    145, w^3 + w^2 + 2>, <142, 149, w^3 + w^2 + 1>, <142, 156, w^3 + w^2 + 1>, 
    <142, 158, w^3 + w^2 + 2>,  <143, 124, w^3 + w^2 + 2>, <143, 125, -w^3 - w^2
    - 1>, <143, 127, -w^3 - w^2 - 2>, <143, 132, -1>, <143, 135, -2*w^3 - 2*w^2 
    - 3>, <143, 136, w^3 + w^2 + 1>, <143, 139, -w^3 - w^2 - 1>, <143, 140, -1>,
    <143, 141, w^3 + w^2 + 1>, <143, 143, -w^3 - w^2 - 1>, <143, 145, w^3 + w^2 
    + 2>, <143, 147, -1>, <143, 149, w^3 + w^2 + 1>, <143, 152, -w^3 - w^2 - 1>,
    <143, 155, -w^3 - w^2 - 1>, <143, 156, w^3 + w^2 + 1>, <143, 158, w^3 + w^2 
    + 2>, <143, 159, w^3 + w^2 + 1>,  <144, 123, w^3 + w^2>, <144, 124, w^3 + 
    w^2 + 2>, <144, 125, -w^3 - w^2 - 1>, <144, 127, -w^3 - w^2 - 2>, <144, 133,
    w^3 + w^2 + 1>, <144, 135, -2*w^3 - 2*w^2 - 3>, <144, 139, -w^3 - w^2 - 1>, 
    <144, 141, w^3 + w^2 + 1>, <144, 145, w^3 + w^2 + 2>, <144, 149, w^3 + w^2 +
    1>, <144, 150, -1>, <144, 151, -w^3 - w^2 - 1>, <144, 153, -w^3 - w^2 - 1>, 
    <144, 156, w^3 + w^2 + 1>, <144, 157, -1>, <144, 158, w^3 + w^2 + 2>,  <145,
    121, -w^3 - w^2 + 1>, <145, 124, w^3 + w^2 - 1>, <145, 134, -w^3 - w^2 + 1>,
    <145, 135, 1>, <145, 138, -1>, <145, 139, w^3 + w^2 - 1>, <145, 141, -w^3 - 
    w^2 + 1>, <145, 142, w^3 + w^2 - 1>, <145, 145, -1>, <145, 146, w^3 + w^2>, 
    <145, 148, 1>, <145, 149, -w^3 - w^2>, <145, 154, w^3 + w^2>, <145, 156, 
    -w^3 - w^2>,  <146, 124, -w^3 - w^2>, <146, 139, -w^3 - w^2>, <146, 141, 
    -1>, <146, 145, 1>, <146, 149, w^3 + w^2 + 1>, <146, 156, w^3 + w^2 + 1>,  
    <147, 122, -2*w^3 - 2*w^2 + 1>, <147, 124, w^3 + w^2 - 1>, <147, 135, 1>, 
    <147, 136, -1>, <147, 139, w^3 + w^2 - 1>, <147, 140, -w^3 - w^2 + 1>, <147,
    141, -w^3 - w^2 + 1>, <147, 143, w^3 + w^2 - 1>, <147, 145, -1>, <147, 147, 
    -w^3 - w^2 + 1>, <147, 149, -w^3 - w^2>, <147, 152, w^3 + w^2>, <147, 155, 
    w^3 + w^2>, <147, 156, -w^3 - w^2>,  <148, 124, w^3 + w^2 - 1>, <148, 135, 
    1>, <148, 139, w^3 + w^2 - 1>, <148, 141, -w^3 - w^2 + 1>, <148, 145, -1>, 
    <148, 149, -w^3 - w^2>, <148, 156, -w^3 - w^2>,  <149, 121, w^3 + w^2>, 
    <149, 124, -w^3 - w^2>, <149, 134, w^3 + w^2>, <149, 139, -w^3 - w^2>, <149,
    141, -1>, <149, 142, 1>, <149, 145, 1>, <149, 146, -w^3 - w^2 - 1>, <149, 
    148, -1>, <149, 149, w^3 + w^2 + 1>, <149, 154, -w^3 - w^2 - 1>, <149, 156, 
    w^3 + w^2 + 1>,  <150, 123, -2*w^3 - 2*w^2 + 1>, <150, 124, w^3 + w^2 - 1>, 
    <150, 133, -1>, <150, 135, 1>, <150, 137, -w^3 - w^2 + 1>, <150, 139, w^3 + 
    w^2 - 1>, <150, 141, -w^3 - w^2 + 1>, <150, 144, w^3 + w^2 - 1>, <150, 145, 
    -1>, <150, 149, -w^3 - w^2>, <150, 150, -w^3 - w^2 + 1>, <150, 151, w^3 + 
    w^2>, <150, 153, w^3 + w^2>, <150, 156, -w^3 - w^2>,  <151, 123, w^3 + w^2 +
    1>, <151, 124, -2*w^3 - 2*w^2 - 2>, <151, 125, w^3 + w^2 + 2>, <151, 127, 
    w^3 + w^2 + 2>, <151, 128, -1>, <151, 133, -w^3 - w^2 - 2>, <151, 135, 2*w^3
    + 2*w^2 + 4>, <151, 137, w^3 + w^2>, <151, 139, 1>, <151, 141, -w^3 - w^2 - 
    2>, <151, 144, 1>, <151, 145, -2*w^3 - 2*w^2 - 2>, <151, 150, 2*w^3 + 2*w^2 
    + 2>, <151, 157, 1>, <151, 158, -w^3 - w^2 - 2>,  <152, 122, 2*w^3 + 2*w^2 +
    1>, <152, 124, -2*w^3 - 2*w^2 - 2>, <152, 125, w^3 + w^2 + 2>, <152, 127, 
    w^3 + w^2 + 2>, <152, 135, 2*w^3 + 2*w^2 + 4>, <152, 136, -w^3 - w^2 - 2>, 
    <152, 139, 1>, <152, 140, w^3 + w^2 + 1>, <152, 141, -w^3 - w^2 - 2>, <152, 
    143, w^3 + w^2 + 2>, <152, 145, -2*w^3 - 2*w^2 - 2>, <152, 147, 2*w^3 + 
    2*w^2 + 2>, <152, 158, -w^3 - w^2 - 2>, <152, 159, -w^3 - w^2 - 1>,  <153, 
    123, -w^3 - w^2 - 1>, <153, 125, w^3 + w^2>, <153, 127, w^3 + w^2>, <153, 
    128, -w^3 - w^2 + 1>, <153, 131, 1>, <153, 133, w^3 + w^2 + 1>, <153, 137, 
    -w^3 - w^2 + 1>, <153, 139, w^3 + w^2>, <153, 141, -w^3 - w^2>, <153, 144, 
    w^3 + w^2 - 1>, <153, 149, -w^3 - w^2>, <153, 150, -w^3 - w^2>, <153, 151, 
    w^3 + w^2>, <153, 157, w^3 + w^2>, <153, 158, -w^3 - w^2 - 1>,  <154, 125, 
    w^3 + w^2>, <154, 127, w^3 + w^2>, <154, 139, w^3 + w^2>, <154, 141, -w^3 - 
    w^2>, <154, 149, -w^3 - w^2>, <154, 158, -w^3 - w^2 - 1>,  <155, 122, -2*w^3
    - 2*w^2>, <155, 125, w^3 + w^2>, <155, 126, 1>, <155, 127, w^3 + w^2>, <155,
    132, 1>, <155, 136, w^3 + w^2 + 1>, <155, 139, w^3 + w^2>, <155, 140, 1>, 
    <155, 141, -w^3 - w^2>, <155, 143, w^3 + w^2>, <155, 147, -w^3 - w^2>, <155,
    149, -w^3 - w^2>, <155, 152, w^3 + w^2>, <155, 158, -w^3 - w^2 - 1>, <155, 
    159, -1>,  <156, 121, -1>, <156, 125, w^3 + w^2>, <156, 127, w^3 + w^2>, 
    <156, 129, -w^3 - w^2 + 1>, <156, 130, 2>, <156, 134, 1>, <156, 138, w^3 + 
    w^2 + 2>, <156, 139, w^3 + w^2>, <156, 141, -w^3 - w^2>, <156, 142, w^3 + 
    w^2>, <156, 146, w^3 + w^2 - 1>, <156, 148, -1>, <156, 149, -w^3 - w^2>, 
    <156, 154, -w^3 - w^2>, <156, 158, -w^3 - w^2 - 1>, <156, 160, 1>,  <157, 
    123, -1>, <157, 124, w^3 + w^2 + 1>, <157, 125, -w^3 - w^2 - 1>, <157, 127, 
    -1>, <157, 128, 1>, <157, 133, w^3 + w^2>, <157, 135, -w^3 - w^2 - 1>, <157,
    137, -w^3 - w^2 + 1>, <157, 139, -1>, <157, 141, 1>, <157, 144, w^3 + w^2 - 
    1>, <157, 153, w^3 + w^2>, <157, 156, -w^3 - w^2>, <157, 157, w^3 + w^2 - 
    1>, <157, 158, 1>,  <158, 121, 2*w^3 + 2*w^2 - 1>, <158, 124, -2*w^3 - 2*w^2
    + 1>, <158, 125, -1>, <158, 129, 1>, <158, 134, w^3 + w^2>, <158, 139, -w^3 
    - w^2>, <158, 141, w^3 + w^2>, <158, 142, -w^3 - w^2>, <158, 145, -w^3 - 
    w^2>, <158, 146, 1>, <158, 148, w^3 + w^2>, <158, 149, -1>, <158, 154, 1>, 
    <158, 156, -1>,  <159, 122, 3*w^3 + 3*w^2 - 1>, <159, 124, -w^3 - w^2 + 2>, 
    <159, 127, -w^3 - w^2 - 1>, <159, 132, -w^3 - w^2 - 1>, <159, 135, -w^3 - 
    w^2 - 2>, <159, 136, 1>, <159, 139, -w^3 - w^2>, <159, 140, -1>, <159, 141, 
    w^3 + w^2>, <159, 143, -w^3 - w^2>, <159, 145, 2>, <159, 147, w^3 + w^2 - 
    1>, <159, 149, w^3 + w^2 + 1>, <159, 152, -w^3 - w^2 - 1>, <159, 155, -w^3 -
    w^2 - 1>, <159, 156, w^3 + w^2 + 1>, <159, 158, w^3 + w^2 + 1>, <159, 159, 
    1>,  <160, 124, w^3 + w^2 - 1>, <160, 125, -w^3 - w^2>, <160, 135, 1>, <160,
    139, -1>, <160, 141, -w^3 - w^2>, <160, 145, -1>, <160, 156, -w^3 - w^2>,  
    <161, 190, -1>, <161, 205, -w^3 - w^2>,  <162, 166, 1>,  <163, 162, -w^3 - 
    w^2>, <163, 198, -1>,  <164, 168, 1>,  <165, 190, w^3 + w^2>, <165, 205, 
    -w^3 - w^2>,  <166, 203, -1>,  <167, 202, 1>,  <168, 172, -1>, <168, 197, 
    -w^3 - w^2>,  <169, 163, -1>, <169, 203, w^3 + w^2>,  <170, 168, -w^3 - 
    w^2>, <170, 208, 1>,  <171, 184, 1>,  <172, 164, -w^3 - w^2>, <172, 170, w^3
    + w^2>,  <173, 167, -1>,  <174, 193, 1>,  <175, 177, -w^3 - w^2>, <175, 207,
    -1>,  <176, 201, -w^3 - w^2>, <176, 204, w^3 + w^2>,  <177, 179, -1>, <177, 
    180, w^3 + w^2>,  <178, 177, -w^3 - w^2>, <178, 207, w^3 + w^2>,  <179, 178,
    1>,  <180, 175, -1>,  <181, 161, w^3 + w^2>, <181, 165, 1>,  <182, 192, -1>,
    <183, 191, w^3 + w^2>, <183, 192, -w^3 - w^2>,  <184, 196, 1>,  <185, 176, 
    -1>,  <186, 176, w^3 + w^2>, <186, 200, 1>,  <187, 174, -1>, <187, 199, -w^3
    - w^2>,  <188, 182, -w^3 - w^2 - 1>, <188, 183, w^3 + w^2 + 1>,  <189, 182, 
    1>,  <190, 181, w^3 + w^2>, <190, 206, 1>,  <191, 188, 1>, <191, 189, w^3 + 
    w^2>,  <192, 189, -1>,  <193, 187, -w^3 - w^2>, <193, 195, w^3 + w^2>,  
    <194, 187, -1>, <194, 195, -w^3 - w^2>,  <195, 174, w^3 + w^2>, <195, 199, 
    -w^3 - w^2>,  <196, 171, 1>,  <197, 164, -w^3 - w^2>, <197, 170, -1>,  <198,
    169, 1>,  <199, 193, -w^3 - w^2>, <199, 194, 1>,  <200, 201, -w^3 - w^2>, 
    <200, 204, -1>,  <201, 185, w^3 + w^2>, <201, 186, -w^3 - w^2>,  <202, 173, 
    -1>,  <203, 162, -1>,  <204, 185, -1>, <204, 186, -w^3 - w^2>,  <205, 181, 
    -1>,  <206, 161, -1>,  <207, 179, w^3 + w^2>, <207, 180, w^3 + w^2>,  <208, 
    197, -1> ]))
]: Check := false) where w := K.1 where K := CyclotomicField(5);
K<w> := BaseRing(M);
K;
M;
