Qx<x>:=PolynomialRing(Rationals());
dimensions_list:=[**];
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^320 + x^280 - x^200 - x^160 - x^120 + x^40 + 1
);
eps_on_gens:=
[* 1201,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 - x^120 + x^80 - x^40 + 1
);
eps_on_gens:=
[* 1201,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + x^56 - x^40 - x^32 - x^24 + x^8 + 1
);
eps_on_gens:=
[* 1201,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1201,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1201,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1201,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 + x^140 - x^100 - x^80 - x^60 + x^20 + 1
);
eps_on_gens:=
[* 1202,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^60 + x^40 - x^20 + 1
);
eps_on_gens:=
[* 1202,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1202,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1202,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1202,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1202,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1203,
    [ [* 805, 1 *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 - x^120 + x^80 - x^40 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a
    *], [* 803, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^60 + x^40 - x^20 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a
    *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a
    *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a
    *], [* 803, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a
    *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a
    *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a^2
    *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a
    *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a
    *], [* 803, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a
    *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        a
    *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 2*x^7 + 7*x^6 - 10*x^5 + 16*x^4 - 10*x^3 - 2*x^2 + 4*x + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        1/541*(210*a^7 - 592*a^6 + 1790*a^5 - 3360*a^4 + 5030*a^3 - 5009*a^2 + 1498*a + 659)
    *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 6*x^2 + 1
);
eps_on_gens:=
[* 1203,
    [ [* 805,
        1/2*(-a^3 - 5*a)
    *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1203,
    [ [* 805, -1 *], [* 803, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1204,
    [ [* 1121, 1 *], [* 689, 1 *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121, 1 *], [* 689,
        a
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121, 1 *], [* 689,
        a - 1
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1204,
    [ [* 1121, 1 *], [* 689, -1 *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689, 1 *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689,
        a^7
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689,
        a^7 - 1
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689, -1 *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689,
        -a^7
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689,
        -a^7 + 1
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^2
    *], [* 689, 1 *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^2
    *], [* 689,
        a^7
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^2
    *], [* 689,
        a^7 - 1
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^2
    *], [* 689, -1 *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^2
    *], [* 689,
        -a^7
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^2
    *], [* 689,
        -a^7 + 1
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689, 1 *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^3
    *], [* 689,
        a^7
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^3
    *], [* 689,
        a^7 - 1
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689, -1 *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^2
    *], [* 689, 1 *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^6
    *], [* 689,
        a^7
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^6
    *], [* 689,
        a^7 - 1
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a^2
    *], [* 689, -1 *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689, 1 *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689,
        a
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689,
        a - 1
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689, -1 *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689,
        -a
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a
    *], [* 689,
        -a + 1
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a - 1
    *], [* 689, 1 *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a - 1
    *], [* 689,
        a
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a - 1
    *], [* 689,
        a - 1
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a - 1
    *], [* 689, -1 *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a - 1
    *], [* 689,
        -a
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121,
        a - 1
    *], [* 689,
        -a + 1
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1204,
    [ [* 1121, -1 *], [* 689, 1 *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121, -1 *], [* 689,
        a
    *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1204,
    [ [* 1121, -1 *], [* 689,
        a - 1
    *], [* 603, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1204,
    [ [* 1121, -1 *], [* 689, -1 *], [* 603, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971, 1 *], [* 242,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + x^56 - x^40 - x^32 - x^24 + x^8 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + x^56 - x^40 - x^32 - x^24 + x^8 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        a^30
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        -a^30
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        -a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        -a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a^2
    *], [* 242,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        -a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a^4
    *], [* 242,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a^2
    *], [* 242,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a^2
    *], [* 242,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a^4
    *], [* 242,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a
    *], [* 242,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971,
        a^2 - 1
    *], [* 242,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1205,
    [ [* 971, -1 *], [* 242,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739, 1 *], [* 1073,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1206,
    [ [* 739, 1 *], [* 1073, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a
    *], [* 1073, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a
    *], [* 1073,
        a^11 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a
    *], [* 1073,
        -a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a^2
    *], [* 1073,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a^2
    *], [* 1073, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a^2
    *], [* 1073,
        -a^11 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a
    *], [* 1073, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a^3
    *], [* 1073,
        a^11 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a^6
    *], [* 1073,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a^2
    *], [* 1073, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a
    *], [* 1073, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a
    *], [* 1073,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a
    *], [* 1073,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a - 1
    *], [* 1073,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a - 1
    *], [* 1073, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739,
        a - 1
    *], [* 1073,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1206,
    [ [* 739, -1 *], [* 1073, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1206,
    [ [* 739, -1 *], [* 1073,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a
    *], [* 1072, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853, 1 *], [* 1072,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^92 - x^76 - x^72 - x^68 - x^64 + x^56 + x^52 + x^48 + x^44 + x^40 - x^32 - x^28 - x^24 - x^20 + x^4 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a^35
    *], [* 1072,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a^35
    *], [* 1072,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853, -1 *], [* 1072,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^192 + x^184 - x^152 - x^144 - x^136 - x^128 + x^112 + x^104 + x^96 + x^88 + x^80 - x^64 - x^56 - x^48 - x^40 + x^8 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a^35
    *], [* 1072,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853, 1 *], [* 1072,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a^7
    *], [* 1072,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a^7
    *], [* 1072,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853, -1 *], [* 1072,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853, 1 *], [* 1072,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a^5
    *], [* 1072,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a^5
    *], [* 1072,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853, -1 *], [* 1072,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a^7
    *], [* 1072,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a^5
    *], [* 1072,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1207,
    [ [* 853, 1 *], [* 1072, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a
    *], [* 1072, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1207,
    [ [* 853,
        a
    *], [* 1072, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1207,
    [ [* 853, -1 *], [* 1072, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1208,
    [ [* 761, 1 *], [* 605, 1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1208,
    [ [* 761, 1 *], [* 605, -1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^35 - x^25 - x^20 - x^15 + x^5 + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a
    *], [* 605, 1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^35 - x^25 - x^20 - x^15 + x^5 + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a
    *], [* 605, -1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^35 - x^25 - x^20 - x^15 + x^5 + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a^2
    *], [* 605, 1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^35 - x^25 - x^20 - x^15 + x^5 + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a^2
    *], [* 605, -1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a
    *], [* 605, 1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a
    *], [* 605, -1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a
    *], [* 605, 1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a
    *], [* 605, -1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a^2
    *], [* 605, 1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a^2
    *], [* 605, -1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a^2
    *], [* 605, 1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a^2
    *], [* 605, -1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a
    *], [* 605, 1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a
    *], [* 605, -1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a
    *], [* 605, 1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a
    *], [* 605, -1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a^2
    *], [* 605, 1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a^2
    *], [* 605, -1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a - 1
    *], [* 605, 1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1208,
    [ [* 761,
        a - 1
    *], [* 605, -1 *], [* 303, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1208,
    [ [* 761, -1 *], [* 605, 1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1208,
    [ [* 761, -1 *], [* 605, -1 *], [* 303, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1209,
    [ [* 313, 1 *], [* 652, 1 *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313, 1 *], [* 652,
        a
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313, 1 *], [* 652,
        a
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313, 1 *], [* 652,
        a
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313, 1 *], [* 652,
        a - 1
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1209,
    [ [* 313, 1 *], [* 652, -1 *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652, 1 *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        a^5
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652,
        a^5
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        a^15
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652,
        a^5 - 1
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        a^15 - a^5
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652, -1 *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652,
        -a^5
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652,
        -a^5 + 1
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652, 1 *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^4
    *], [* 652,
        a^5
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        a^5
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^4
    *], [* 652,
        a^15
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        a^5 - 1
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^4
    *], [* 652,
        a^15 - a^5
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652, -1 *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        -a^5
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        -a^5 + 1
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652, 1 *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^6
    *], [* 652,
        a^5
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^3
    *], [* 652,
        a^5
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        a^5
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^3
    *], [* 652,
        a^5 - 1
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652, -1 *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652, 1 *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        a
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652,
        a
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        a^3
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652,
        a - 1
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652,
        a^3 - a
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652, -1 *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652,
        -a
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a
    *], [* 652,
        -a + 1
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652, 1 *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^12
    *], [* 652,
        a^5
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^6
    *], [* 652,
        a^5
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^4
    *], [* 652,
        a^5
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^6
    *], [* 652,
        a^5 - 1
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2
    *], [* 652, -1 *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a - 1
    *], [* 652, 1 *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2 - 1
    *], [* 652,
        a
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a - 1
    *], [* 652,
        a
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2 - 1
    *], [* 652,
        a^3
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        -a^2
    *], [* 652,
        -a^2
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2 - 1
    *], [* 652,
        a^3 - a
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a - 1
    *], [* 652, -1 *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a^2 - 1
    *], [* 652,
        -a^2
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313,
        a - 1
    *], [* 652,
        -a + 1
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1209,
    [ [* 313, -1 *], [* 652, 1 *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313, -1 *], [* 652,
        a
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313, -1 *], [* 652,
        a
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313, -1 *], [* 652,
        a
    *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1209,
    [ [* 313, -1 *], [* 652,
        a - 1
    *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1209,
    [ [* 313, -1 *], [* 652, -1 *], [* 404, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1210,
    [ [* 727,
        a
    *], [* 1091, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1210,
    [ [* 727, 1 *], [* 1091,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1210,
    [ [* 727, -1 *], [* 1091,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^78 - x^70 - x^68 + x^60 - x^56 - x^50 + x^46 + x^40 + x^34 - x^30 - x^24 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1210,
    [ [* 727,
        a^55
    *], [* 1091,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1210,
    [ [* 727, 1 *], [* 1091,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1210,
    [ [* 727, -1 *], [* 1091,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1210,
    [ [* 727,
        a^11
    *], [* 1091,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1210,
    [ [* 727, 1 *], [* 1091,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1210,
    [ [* 727, -1 *], [* 1091,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1210,
    [ [* 727,
        a^5
    *], [* 1091,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1210,
    [ [* 727, 1 *], [* 1091, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1210,
    [ [* 727, -1 *], [* 1091, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1211,
    [ [* 1039,
        a
    *], [* 694, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1211,
    [ [* 1039, -1 *], [* 694, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - 
    x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 
    + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1211,
    [ [* 1039, 1 *], [* 694,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^168 + x^166 - x^162 - x^160 + x^156 + x^154 - x^150 - x^148 + x^144 + x^142 - x^138 - x^136 + x^132 + x^130 - x^126 - x^124 + x^120 +
    x^118 - x^114 - x^112 + x^108 + x^106 - x^102 - x^100 + x^96 + x^94 - x^90 - x^88 + x^84 - x^80 - x^78 + x^74 + x^72 - x^68 - x^66 
    + x^62 + x^60 - x^56 - x^54 + x^50 + x^48 - x^44 - x^42 + x^38 + x^36 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8
    - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1211,
    [ [* 1039,
        a^86 - 1
    *], [* 694,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^84 + x^83 - x^81 - x^80 + x^78 + x^77 - x^75 - x^74 + x^72 + x^71 - x^69 - x^68 + x^66 + x^65 - x^63 - x^62 + x^60 + x^59 - x^57 - 
    x^56 + x^54 + x^53 - x^51 - x^50 + x^48 + x^47 - x^45 - x^44 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 
    - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1211,
    [ [* 1039,
        a^43
    *], [* 694,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4
    - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1211,
    [ [* 1039, -1 *], [* 694,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^84 + x^83 - x^81 - x^80 + x^78 + x^77 - x^75 - x^74 + x^72 + x^71 - x^69 - x^68 + x^66 + x^65 - x^63 - x^62 + x^60 + x^59 - x^57 - 
    x^56 + x^54 + x^53 - x^51 - x^50 + x^48 + x^47 - x^45 - x^44 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 
    - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1211,
    [ [* 1039,
        a^43
    *], [* 694,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4
    - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1211,
    [ [* 1039, -1 *], [* 694,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1211,
    [ [* 1039, 1 *], [* 694,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1211,
    [ [* 1039,
        a^2 - 1
    *], [* 694,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1211,
    [ [* 1039,
        a
    *], [* 694, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1211,
    [ [* 1039, -1 *], [* 694, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1212,
    [ [* 709, 1 *], [* 809, 1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1212,
    [ [* 709, 1 *], [* 809, -1 *], [* 607, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a
    *], [* 809, 1 *], [* 607, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a
    *], [* 809, -1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a
    *], [* 809, 1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a
    *], [* 809, -1 *], [* 607, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a^2
    *], [* 809, 1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a^2
    *], [* 809, -1 *], [* 607, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a
    *], [* 809, 1 *], [* 607, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a
    *], [* 809, -1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a
    *], [* 809, 1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a
    *], [* 809, -1 *], [* 607, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a^2
    *], [* 809, 1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a^2
    *], [* 809, -1 *], [* 607, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a
    *], [* 809, 1 *], [* 607, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1212,
    [ [* 709,
        a
    *], [* 809, -1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1212,
    [ [* 709, -1 *], [* 809, 1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1212,
    [ [* 709, -1 *], [* 809, -1 *], [* 607, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^400 + x^398 - x^394 - x^392 + x^388 + x^386 - x^382 - x^380 + x^376 + x^374 - x^370 - x^368 + x^364 + x^362 - x^358 - x^356 + x^352 +
    x^350 - x^346 - x^344 + x^340 + x^338 - x^334 - x^332 + x^328 + x^326 - x^322 - x^320 + x^316 + x^314 - x^310 - x^308 + x^304 + 
    x^302 - x^298 - x^296 + x^292 + x^290 - x^286 - x^284 + x^280 + x^278 - x^274 - x^272 + x^268 + x^266 - x^262 - x^260 + x^256 + 
    x^254 - x^250 - x^248 + x^244 + x^242 - x^238 - x^236 + x^232 + x^230 - x^226 - x^224 + x^220 + x^218 - x^214 - x^212 + x^208 + 
    x^206 - x^202 - x^200 - x^198 + x^194 + x^192 - x^188 - x^186 + x^182 + x^180 - x^176 - x^174 + x^170 + x^168 - x^164 - x^162 + 
    x^158 + x^156 - x^152 - x^150 + x^146 + x^144 - x^140 - x^138 + x^134 + x^132 - x^128 - x^126 + x^122 + x^120 - x^116 - x^114 + 
    x^110 + x^108 - x^104 - x^102 + x^98 + x^96 - x^92 - x^90 + x^86 + x^84 - x^80 - x^78 + x^74 + x^72 - x^68 - x^66 + x^62 + x^60 - 
    x^56 - x^54 + x^50 + x^48 - x^44 - x^42 + x^38 + x^36 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1213,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^200 - x^198 + x^196 - x^194 + x^192 - x^190 + x^188 - x^186 + x^184 - x^182 + x^180 - x^178 + x^176 - x^174 + x^172 - x^170 + x^168 -
    x^166 + x^164 - x^162 + x^160 - x^158 + x^156 - x^154 + x^152 - x^150 + x^148 - x^146 + x^144 - x^142 + x^140 - x^138 + x^136 - 
    x^134 + x^132 - x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - x^106 + x^104 - 
    x^102 + x^100 - x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - 
    x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 
    + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1213,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1213,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1213,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^200 + x^199 - x^197 - x^196 + x^194 + x^193 - x^191 - x^190 + x^188 + x^187 - x^185 - x^184 + x^182 + x^181 - x^179 - x^178 + x^176 +
    x^175 - x^173 - x^172 + x^170 + x^169 - x^167 - x^166 + x^164 + x^163 - x^161 - x^160 + x^158 + x^157 - x^155 - x^154 + x^152 + 
    x^151 - x^149 - x^148 + x^146 + x^145 - x^143 - x^142 + x^140 + x^139 - x^137 - x^136 + x^134 + x^133 - x^131 - x^130 + x^128 + 
    x^127 - x^125 - x^124 + x^122 + x^121 - x^119 - x^118 + x^116 + x^115 - x^113 - x^112 + x^110 + x^109 - x^107 - x^106 + x^104 + 
    x^103 - x^101 - x^100 - x^99 + x^97 + x^96 - x^94 - x^93 + x^91 + x^90 - x^88 - x^87 + x^85 + x^84 - x^82 - x^81 + x^79 + x^78 - 
    x^76 - x^75 + x^73 + x^72 - x^70 - x^69 + x^67 + x^66 - x^64 - x^63 + x^61 + x^60 - x^58 - x^57 + x^55 + x^54 - x^52 - x^51 + x^49 
    + x^48 - x^46 - x^45 + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - 
    x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1214,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - 
    x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 
    + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + 
    x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 
    - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 +
    x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1214,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1214,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1214,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^54 - x^27 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a
    *], [* 487, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a
    *], [* 487, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a
    *], [* 487, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a
    *], [* 487, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1215,
    [ [* 731, -1 *], [* 487, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731, 1 *], [* 487,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^108 - x^54 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a^4
    *], [* 487,
        a^81
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 - x^18 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a^4
    *], [* 487,
        a^27
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a^4
    *], [* 487,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a^2 - 1
    *], [* 487,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^54 - x^27 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a
    *], [* 487, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a
    *], [* 487, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        a
    *], [* 487, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
4
;
C<a>:=NumberField(
x^6 + 3*x^4 + 2*x^3 + 9*x^2 + 3*x + 1
);
eps_on_gens:=
[* 1215,
    [ [* 731,
        1/3*(-a^5 - 3*a^3 - a^2 - 9*a)
    *], [* 487, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1215,
    [ [* 731, -1 *], [* 487, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1216,
    [ [* 837, 1 *], [* 705, 1 *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a
    *], [* 705, 1 *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a
    *], [* 705, 1 *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a
    *], [* 705, 1 *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1216,
    [ [* 837, -1 *], [* 705, 1 *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837, 1 *], [* 705,
        a
    *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^9
    *], [* 705,
        a^8
    *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^9
    *], [* 705,
        a^4
    *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^9
    *], [* 705,
        a^2
    *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837, -1 *], [* 705,
        a^10
    *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837, 1 *], [* 705,
        a^2
    *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^9
    *], [* 705,
        a^16
    *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^9
    *], [* 705,
        a^8
    *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^9
    *], [* 705,
        a^4
    *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837, -1 *], [* 705,
        a^2
    *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837, 1 *], [* 705,
        a
    *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^3
    *], [* 705,
        a^8
    *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^3
    *], [* 705,
        a^4
    *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^3
    *], [* 705,
        a^2
    *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837, -1 *], [* 705,
        -a^2 + 1
    *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837, 1 *], [* 705,
        a^2 - 1
    *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^3
    *], [* 705,
        a^8 - 1
    *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^3
    *], [* 705,
        a^4 - 1
    *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a^3
    *], [* 705,
        a^2 - 1
    *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837, -1 *], [* 705,
        a - 1
    *], [* 191, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1216,
    [ [* 837, 1 *], [* 705, -1 *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a
    *], [* 705, -1 *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a
    *], [* 705, -1 *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1216,
    [ [* 837,
        a
    *], [* 705, -1 *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1216,
    [ [* 837, -1 *], [* 705, -1 *], [* 191, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^576 - x^544 + x^512 - x^480 + x^448 - x^416 + x^384 - x^352 + x^320 - x^288 + x^256 - x^224 + x^192 - x^160 + x^128 - x^96 + x^64 - 
    x^32 + 1
);
eps_on_gens:=
[* 1217,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + 1
);
eps_on_gens:=
[* 1217,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1218,
    [ [* 871, 1 *], [* 379, 1 *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a
    *], [* 379, 1 *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a - 1
    *], [* 379, 1 *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1218,
    [ [* 871, -1 *], [* 379, 1 *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871, 1 *], [* 379,
        a
    *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a^14
    *], [* 379,
        a^3
    *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a^14 - 1
    *], [* 379,
        a^3
    *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871, -1 *], [* 379,
        a
    *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871, 1 *], [* 379,
        a
    *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a^7
    *], [* 379,
        a^3
    *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a^7 - 1
    *], [* 379,
        a^3
    *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871, -1 *], [* 379,
        a
    *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871, 1 *], [* 379,
        a^2
    *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a^7
    *], [* 379,
        a^6
    *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a^7 - 1
    *], [* 379,
        a^6
    *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871, -1 *], [* 379,
        a^2
    *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871, 1 *], [* 379,
        a
    *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a^2
    *], [* 379,
        a^3
    *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a^2 - 1
    *], [* 379,
        a^3
    *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871, -1 *], [* 379,
        a
    *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1218,
    [ [* 871, 1 *], [* 379, -1 *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a
    *], [* 379, -1 *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1218,
    [ [* 871,
        a - 1
    *], [* 379, -1 *], [* 407, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1218,
    [ [* 871, -1 *], [* 379, -1 *], [* 407, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1219,
    [ [* 902,
        a
    *], [* 691, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1219,
    [ [* 902, -1 *], [* 691, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1219,
    [ [* 902, 1 *], [* 691,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 + x^238 - x^218 - x^216 - x^214 - x^212 + x^196 + x^194 + x^192 + x^190 + x^188 + x^186 - x^174 - x^172 - x^170 - x^168 - x^166 -
    x^164 - x^162 - x^160 + x^152 + x^150 + x^148 + x^146 + x^144 + x^142 + x^140 + x^138 + x^136 + x^134 - x^130 - x^128 - x^126 - 
    x^124 - x^122 - x^120 - x^118 - x^116 - x^114 - x^112 - x^110 + x^106 + x^104 + x^102 + x^100 + x^98 + x^96 + x^94 + x^92 + x^90 + 
    x^88 - x^80 - x^78 - x^76 - x^74 - x^72 - x^70 - x^68 - x^66 + x^54 + x^52 + x^50 + x^48 + x^46 + x^44 - x^28 - x^26 - x^24 - x^22 
    + x^2 + 1
);
eps_on_gens:=
[* 1219,
    [ [* 902,
        a^52
    *], [* 691,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^119 - x^109 - x^108 - x^107 - x^106 + x^98 + x^97 + x^96 + x^95 + x^94 + x^93 - x^87 - x^86 - x^85 - x^84 - x^83 - x^82 - 
    x^81 - x^80 + x^76 + x^75 + x^74 + x^73 + x^72 + x^71 + x^70 + x^69 + x^68 + x^67 - x^65 - x^64 - x^63 - x^62 - x^61 - x^60 - x^59 
    - x^58 - x^57 - x^56 - x^55 + x^53 + x^52 + x^51 + x^50 + x^49 + x^48 + x^47 + x^46 + x^45 + x^44 - x^40 - x^39 - x^38 - x^37 - 
    x^36 - x^35 - x^34 - x^33 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 - x^14 - x^13 - x^12 - x^11 + x + 1
);
eps_on_gens:=
[* 1219,
    [ [* 902,
        a^13
    *], [* 691,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1219,
    [ [* 902, -1 *], [* 691,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^119 - x^109 - x^108 - x^107 - x^106 + x^98 + x^97 + x^96 + x^95 + x^94 + x^93 - x^87 - x^86 - x^85 - x^84 - x^83 - x^82 - 
    x^81 - x^80 + x^76 + x^75 + x^74 + x^73 + x^72 + x^71 + x^70 + x^69 + x^68 + x^67 - x^65 - x^64 - x^63 - x^62 - x^61 - x^60 - x^59 
    - x^58 - x^57 - x^56 - x^55 + x^53 + x^52 + x^51 + x^50 + x^49 + x^48 + x^47 + x^46 + x^45 + x^44 - x^40 - x^39 - x^38 - x^37 - 
    x^36 - x^35 - x^34 - x^33 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 - x^14 - x^13 - x^12 - x^11 + x + 1
);
eps_on_gens:=
[* 1219,
    [ [* 902,
        a^13
    *], [* 691,
        a^22
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1219,
    [ [* 902, -1 *], [* 691,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1219,
    [ [* 902, 1 *], [* 691,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1219,
    [ [* 902,
        a^4
    *], [* 691,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1219,
    [ [* 902,
        a
    *], [* 691, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1219,
    [ [* 902, -1 *], [* 691, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1220,
    [ [* 1161, 1 *], [* 977, 1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161, 1 *], [* 977,
        a
    *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1220,
    [ [* 1161, 1 *], [* 977, -1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, 1 *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977,
        a^15
    *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, -1 *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977,
        -a^15
    *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, 1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a^2
    *], [* 977,
        a^15
    *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - 2*x^14 + 13*x^12 - 49*x^10 + 150*x^8 + x^6 + 523*x^4 - 37*x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        1/1005640*(-16569*a^14 + 34878*a^12 - 214188*a^10 + 820928*a^8 - 2525383*a^6 + 19414*a^4 - 8132685*a^2 + 1271145)
    *], [* 977, -1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, 1 *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977,
        a^5
    *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, -1 *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977,
        -a^5
    *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a^2
    *], [* 977, 1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a^4
    *], [* 977,
        a^15
    *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a^2
    *], [* 977, -1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, 1 *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977,
        a^3
    *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, -1 *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977,
        -a^3
    *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, 1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a^2
    *], [* 977,
        a^5
    *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, -1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, 1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a^2
    *], [* 977,
        a^3
    *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 5*x^2 - 4*x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        -2*a^3 + 3*a^2 - 8*a + 4
    *], [* 977, -1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a^2
    *], [* 977, 1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a^4
    *], [* 977,
        a^5
    *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a^2
    *], [* 977, -1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, 1 *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977,
        a
    *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977, -1 *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a
    *], [* 977,
        -a
    *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a - 1
    *], [* 977, 1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a^2 - 1
    *], [* 977,
        a^3
    *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161,
        a - 1
    *], [* 977, -1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1220,
    [ [* 1161, -1 *], [* 977, 1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1220,
    [ [* 1161, -1 *], [* 977,
        a
    *], [* 611, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1220,
    [ [* 1161, -1 *], [* 977, -1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112, 1 *], [* 298, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112,
        a
    *], [* 298, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112,
        a^2
    *], [* 298, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112, -1 *], [* 298, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112, 1 *], [* 298,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112,
        a^18
    *], [* 298,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112,
        a^36
    *], [* 298,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112, -1 *], [* 298,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112, 1 *], [* 298,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112,
        a^9
    *], [* 298,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112,
        a^18
    *], [* 298,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112, -1 *], [* 298,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112, 1 *], [* 298,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112,
        a^6
    *], [* 298,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112,
        a^12
    *], [* 298,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112, -1 *], [* 298,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112, 1 *], [* 298,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112,
        a^9
    *], [* 298,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112,
        a^18
    *], [* 298,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112, -1 *], [* 298,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112, 1 *], [* 298,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112,
        a^3
    *], [* 298,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112,
        a^6
    *], [* 298,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112, -1 *], [* 298,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112, 1 *], [* 298,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112,
        a^2
    *], [* 298,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112,
        a^4
    *], [* 298,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112, -1 *], [* 298,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112, 1 *], [* 298,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112,
        a^3
    *], [* 298,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112,
        a^6
    *], [* 298,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112, -1 *], [* 298,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112, 1 *], [* 298, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112,
        a
    *], [* 298, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1221,
    [ [* 815, -1 *], [* 112,
        a^2
    *], [* 298, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 1221,
    [ [* 815, 1 *], [* 112, -1 *], [* 298, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1222,
    [ [* 287, 1 *], [* 847,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1222,
    [ [* 287, 1 *], [* 847,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 1222,
    [ [* 287,
        a
    *], [* 847, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1222,
    [ [* 287,
        a^3
    *], [* 847,
        a^23
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1222,
    [ [* 287,
        a^3
    *], [* 847,
        a^23 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 1222,
    [ [* 287,
        a
    *], [* 847, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^88 + x^86 - x^82 - x^80 + x^76 + x^74 - x^70 - x^68 + x^64 + x^62 - x^58 - x^56 + x^52 + x^50 - x^46 - x^44 - x^42 + x^38 + x^36 - 
    x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1222,
    [ [* 287,
        a^12
    *], [* 847,
        a^23
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6
    + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1222,
    [ [* 287,
        a^4
    *], [* 847,
        a^23
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1222,
    [ [* 287, -1 *], [* 847, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1222,
    [ [* 287, -1 *], [* 847,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1222,
    [ [* 287, -1 *], [* 847,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1222,
    [ [* 287, -1 *], [* 847, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^552 + x^551 - x^539 - x^538 + x^526 + x^525 - x^513 - x^512 - x^505 - x^504 + x^500 + x^499 + x^492 + x^491 - x^487 - x^486 - x^479 -
    x^478 + x^474 + x^473 + x^466 + x^465 - x^461 - x^460 + x^458 + x^457 - x^453 - x^452 + x^448 + x^447 - x^445 - x^444 + x^440 + 
    x^439 - x^435 - x^434 + x^432 + x^431 - x^427 - x^426 + x^422 + x^421 - x^419 - x^418 + x^414 + x^413 - x^411 - x^410 - x^409 - 
    x^408 + x^406 + x^405 - x^401 - x^400 + x^398 + x^397 + x^396 + x^395 - x^393 - x^392 + x^388 + x^387 - x^385 - x^384 - x^383 - 
    x^382 + x^380 + x^379 - x^375 - x^374 + x^372 + x^371 + x^370 + x^369 - x^367 - x^366 + x^364 + x^363 + x^362 + x^361 - x^359 - 
    x^358 - x^357 - x^356 + x^354 + x^353 - x^351 - x^350 - x^349 - x^348 + x^346 + x^345 + x^344 + x^343 - x^341 - x^340 + x^338 + 
    x^337 + x^336 + x^335 - x^333 - x^332 - x^331 - x^330 + x^328 + x^327 - x^325 - x^324 - x^323 - x^322 + x^320 + x^319 + x^318 - 
    x^316 - x^315 - x^314 + x^312 + x^311 + x^310 + x^309 - x^307 - x^306 - x^305 + x^303 + x^302 + x^301 - x^299 - x^298 - x^297 - 
    x^296 + x^294 + x^293 + x^292 - x^290 - x^289 - x^288 + x^286 + x^285 + x^284 + x^283 - x^281 - x^280 - x^279 + x^277 + x^276 + 
    x^275 - x^273 - x^272 - x^271 + x^269 + x^268 + x^267 + x^266 - x^264 - x^263 - x^262 + x^260 + x^259 + x^258 - x^256 - x^255 - 
    x^254 - x^253 + x^251 + x^250 + x^249 - x^247 - x^246 - x^245 + x^243 + x^242 + x^241 + x^240 - x^238 - x^237 - x^236 + x^234 + 
    x^233 + x^232 - x^230 - x^229 - x^228 - x^227 + x^225 + x^224 - x^222 - x^221 - x^220 - x^219 + x^217 + x^216 + x^215 + x^214 - 
    x^212 - x^211 + x^209 + x^208 + x^207 + x^206 - x^204 - x^203 - x^202 - x^201 + x^199 + x^198 - x^196 - x^195 - x^194 - x^193 + 
    x^191 + x^190 + x^189 + x^188 - x^186 - x^185 + x^183 + x^182 + x^181 + x^180 - x^178 - x^177 + x^173 + x^172 - x^170 - x^169 - 
    x^168 - x^167 + x^165 + x^164 - x^160 - x^159 + x^157 + x^156 + x^155 + x^154 - x^152 - x^151 + x^147 + x^146 - x^144 - x^143 - 
    x^142 - x^141 + x^139 + x^138 - x^134 - x^133 + x^131 + x^130 - x^126 - x^125 + x^121 + x^120 - x^118 - x^117 + x^113 + x^112 - 
    x^108 - x^107 + x^105 + x^104 - x^100 - x^99 + x^95 + x^94 - x^92 - x^91 + x^87 + x^86 + x^79 + x^78 - x^74 - x^73 - x^66 - x^65 + 
    x^61 + x^60 + x^53 + x^52 - x^48 - x^47 - x^40 - x^39 + x^27 + x^26 - x^14 - x^13 + x + 1
);
eps_on_gens:=
[* 1223,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - 
    x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 +
    x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1223,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1223,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
17
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1223,
    [ [* 5, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1224,
    [ [* 137, 1 *], [* 649, 1 *], [* 919, -1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1224,
    [ [* 137, 1 *], [* 649, 1 *], [* 919, -1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a
    *], [* 649, 1 *], [* 919, 1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a
    *], [* 649, 1 *], [* 919, 1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a - 1
    *], [* 649, 1 *], [* 919, -1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a - 1
    *], [* 649, 1 *], [* 919, -1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1224,
    [ [* 137, -1 *], [* 649, 1 *], [* 919, 1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1224,
    [ [* 137, -1 *], [* 649, 1 *], [* 919, 1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, 1 *], [* 649,
        a
    *], [* 919, 1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, 1 *], [* 649,
        a
    *], [* 919, 1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^8
    *], [* 649,
        a^3
    *], [* 919, -1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^8
    *], [* 649,
        a^3
    *], [* 919, -1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^8 - 1
    *], [* 649,
        a^3
    *], [* 919, 1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^8 - 1
    *], [* 649,
        a^3
    *], [* 919, 1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, -1 *], [* 649,
        a
    *], [* 919, -1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, -1 *], [* 649,
        a
    *], [* 919, -1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, 1 *], [* 649,
        a
    *], [* 919, -1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, 1 *], [* 649,
        a
    *], [* 919, -1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^4
    *], [* 649,
        a^3
    *], [* 919, 1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^4
    *], [* 649,
        a^3
    *], [* 919, 1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^4 - 1
    *], [* 649,
        a^3
    *], [* 919, -1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^4 - 1
    *], [* 649,
        a^3
    *], [* 919, -1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, -1 *], [* 649,
        a
    *], [* 919, 1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, -1 *], [* 649,
        a
    *], [* 919, 1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, 1 *], [* 649,
        a
    *], [* 919, -1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, 1 *], [* 649,
        a
    *], [* 919, -1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^2
    *], [* 649,
        a^3
    *], [* 919, 1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^2
    *], [* 649,
        a^3
    *], [* 919, 1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^2 - 1
    *], [* 649,
        a^3
    *], [* 919, -1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a^2 - 1
    *], [* 649,
        a^3
    *], [* 919, -1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, -1 *], [* 649,
        a
    *], [* 919, 1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137, -1 *], [* 649,
        a
    *], [* 919, 1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1224,
    [ [* 137, 1 *], [* 649, -1 *], [* 919, -1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 1224,
    [ [* 137, 1 *], [* 649, -1 *], [* 919, -1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a
    *], [* 649, -1 *], [* 919, 1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a
    *], [* 649, -1 *], [* 919, 1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a - 1
    *], [* 649, -1 *], [* 919, -1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1224,
    [ [* 137,
        a - 1
    *], [* 649, -1 *], [* 919, -1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1224,
    [ [* 137, -1 *], [* 649, -1 *], [* 919, 1 *], [* 613, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1224,
    [ [* 137, -1 *], [* 649, -1 *], [* 919, 1 *], [* 613, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101, 1 *], [* 1177,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101, 1 *], [* 1177,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a
    *], [* 1177, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^5
    *], [* 1177,
        a^21
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^5
    *], [* 1177,
        a^42
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a
    *], [* 1177, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 - x^94 + x^92 + x^86 - x^84 + 2*x^82 - x^80 + x^78 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 - x^56 - x^52 - x^48 - x^44 - x^40 - 
    x^34 + x^32 - x^30 + x^28 - x^26 + x^24 + x^18 - x^16 + 2*x^14 - x^12 + x^10 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^20
    *], [* 1177,
        a^21
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^4
    *], [* 1177,
        a^21
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a
    *], [* 1177, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^5
    *], [* 1177,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^5
    *], [* 1177,
        a^14
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a
    *], [* 1177, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^20
    *], [* 1177,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^4
    *], [* 1177,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a
    *], [* 1177, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^5
    *], [* 1177,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^5
    *], [* 1177,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        -a^2 + 1
    *], [* 1177, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^10 - 1
    *], [* 1177,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101,
        a^2 - 1
    *], [* 1177,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1225,
    [ [* 101, -1 *], [* 1177, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101, -1 *], [* 1177,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1225,
    [ [* 101, -1 *], [* 1177,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1225,
    [ [* 101, -1 *], [* 1177, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^192 + x^186 - x^174 - x^168 + x^156 + x^150 - x^138 - x^132 + x^120 + x^114 - x^102 - x^96 - x^90 + x^78 + x^72 - x^60 - x^54 + x^42 
    + x^36 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1226,
    [ [* 615,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + x^62 - x^58 - x^56 + x^52 + x^50 - x^46 - x^44 + x^40 + x^38 - x^34 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - 
    x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1226,
    [ [* 615,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1226,
    [ [* 615,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1226,
    [ [* 615,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1226,
    [ [* 615,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1226,
    [ [* 615,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1227,
    [ [* 430, 1 *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^128 + x^124 - x^116 - x^112 + x^104 + x^100 - x^92 - x^88 + x^80 + x^76 - x^68 - x^64 - x^60 + x^52 + x^48 - x^40 - x^36 + x^28 + 
    x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + x^62 - x^58 - x^56 + x^52 + x^50 - x^46 - x^44 + x^40 + x^38 - x^34 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - 
    x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 - x^60 + x^56 - x^52 + x^48 - x^44 + x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 -
    x^3 + x + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 -
    x^3 + x + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a^2
    *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a^2
    *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a
    *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1227,
    [ [* 430,
        a - 1
    *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1227,
    [ [* 430, -1 *], [* 410, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1228,
    [ [* 5, 1 *], [* 615, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^93 - x^87 - x^84 + x^78 + x^75 - x^69 - x^66 + x^60 + x^57 - x^51 - x^48 - x^45 + x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - 
    x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1228,
    [ [* 5,
        a
    *], [* 615, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^93 - x^87 - x^84 + x^78 + x^75 - x^69 - x^66 + x^60 + x^57 - x^51 - x^48 - x^45 + x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - 
    x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1228,
    [ [* 5,
        a^2
    *], [* 615, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 -
    x^3 + x + 1
);
eps_on_gens:=
[* 1228,
    [ [* 5,
        a
    *], [* 615, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 -
    x^3 + x + 1
);
eps_on_gens:=
[* 1228,
    [ [* 5,
        a^2
    *], [* 615, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1228,
    [ [* 5,
        a
    *], [* 615, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1228,
    [ [* 5,
        a
    *], [* 615, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1228,
    [ [* 5,
        a^2
    *], [* 615, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1228,
    [ [* 5,
        a^2
    *], [* 615, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1228,
    [ [* 5,
        a
    *], [* 615, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1228,
    [ [* 5,
        a^2 - 1
    *], [* 615, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 1228,
    [ [* 5, -1 *], [* 615, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^612 - x^610 + x^608 - x^606 + x^604 - x^602 + x^600 - x^598 + x^596 - x^594 + x^592 - x^590 + x^588 - x^586 + x^584 - x^582 + x^580 -
    x^578 + x^576 - x^574 + x^572 - x^570 + x^568 - x^566 + x^564 - x^562 + x^560 - x^558 + x^556 - x^554 + x^552 - x^550 + x^548 - 
    x^546 + x^544 - x^542 + x^540 - x^538 + x^536 - x^534 + x^532 - x^530 + x^528 - x^526 + x^524 - x^522 + x^520 - x^518 + x^516 - 
    x^514 + x^512 - x^510 + x^508 - x^506 + x^504 - x^502 + x^500 - x^498 + x^496 - x^494 + x^492 - x^490 + x^488 - x^486 + x^484 - 
    x^482 + x^480 - x^478 + x^476 - x^474 + x^472 - x^470 + x^468 - x^466 + x^464 - x^462 + x^460 - x^458 + x^456 - x^454 + x^452 - 
    x^450 + x^448 - x^446 + x^444 - x^442 + x^440 - x^438 + x^436 - x^434 + x^432 - x^430 + x^428 - x^426 + x^424 - x^422 + x^420 - 
    x^418 + x^416 - x^414 + x^412 - x^410 + x^408 - x^406 + x^404 - x^402 + x^400 - x^398 + x^396 - x^394 + x^392 - x^390 + x^388 - 
    x^386 + x^384 - x^382 + x^380 - x^378 + x^376 - x^374 + x^372 - x^370 + x^368 - x^366 + x^364 - x^362 + x^360 - x^358 + x^356 - 
    x^354 + x^352 - x^350 + x^348 - x^346 + x^344 - x^342 + x^340 - x^338 + x^336 - x^334 + x^332 - x^330 + x^328 - x^326 + x^324 - 
    x^322 + x^320 - x^318 + x^316 - x^314 + x^312 - x^310 + x^308 - x^306 + x^304 - x^302 + x^300 - x^298 + x^296 - x^294 + x^292 - 
    x^290 + x^288 - x^286 + x^284 - x^282 + x^280 - x^278 + x^276 - x^274 + x^272 - x^270 + x^268 - x^266 + x^264 - x^262 + x^260 - 
    x^258 + x^256 - x^254 + x^252 - x^250 + x^248 - x^246 + x^244 - x^242 + x^240 - x^238 + x^236 - x^234 + x^232 - x^230 + x^228 - 
    x^226 + x^224 - x^222 + x^220 - x^218 + x^216 - x^214 + x^212 - x^210 + x^208 - x^206 + x^204 - x^202 + x^200 - x^198 + x^196 - 
    x^194 + x^192 - x^190 + x^188 - x^186 + x^184 - x^182 + x^180 - x^178 + x^176 - x^174 + x^172 - x^170 + x^168 - x^166 + x^164 - 
    x^162 + x^160 - x^158 + x^156 - x^154 + x^152 - x^150 + x^148 - x^146 + x^144 - x^142 + x^140 - x^138 + x^136 - x^134 + x^132 - 
    x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - x^106 + x^104 - x^102 + x^100 - 
    x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 
    + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + 
    x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1229,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1229,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1230,
    [ [* 211, 1 *], [* 247, 1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211, 1 *], [* 247,
        a
    *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1230,
    [ [* 211, 1 *], [* 247, -1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247, 1 *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247,
        a^10
    *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247, -1 *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247,
        -a^10
    *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247, 1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247,
        a^5
    *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247, -1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247,
        -a^5
    *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247, 1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a^2
    *], [* 247,
        a^5
    *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247, -1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247, 1 *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247,
        a^2
    *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247, -1 *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247,
        -a^2
    *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a^2
    *], [* 247, 1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a^4
    *], [* 247,
        a^5
    *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a^2
    *], [* 247, -1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247, 1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247,
        a
    *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247, -1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211,
        a
    *], [* 247,
        -a
    *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1230,
    [ [* 211, -1 *], [* 247, 1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1230,
    [ [* 211, -1 *], [* 247,
        a
    *], [* 821, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1230,
    [ [* 211, -1 *], [* 247, -1 *], [* 821, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^320 - x^319 + x^318 + x^315 - x^314 + x^313 - x^305 + x^304 - x^303 - x^300 + x^299 - x^298 + x^290 - x^289 + x^288 + x^285 - x^284 +
    x^283 + x^279 - x^278 + x^277 - x^275 + 2*x^274 - 2*x^273 + x^272 - x^270 + x^269 - x^268 - x^264 + x^263 - x^262 + x^260 - 2*x^259
    + 2*x^258 - x^257 + x^255 - x^254 + x^253 + x^249 - x^248 + x^247 - x^245 + 2*x^244 - 2*x^243 + x^242 - x^240 + x^239 - x^238 - 
    x^234 + x^233 - x^232 + x^230 - 2*x^229 + 2*x^228 - x^227 + x^225 - x^224 + x^223 + x^219 - x^218 + x^217 - x^215 + 2*x^214 - 
    2*x^213 + x^212 - x^210 + x^209 - x^208 - x^204 + x^203 - x^202 + x^200 - 2*x^199 + 2*x^198 - 2*x^197 + x^196 - x^194 + x^193 - 
    x^192 + x^191 - x^190 + x^189 - x^188 + x^187 - x^185 + 2*x^184 - 2*x^183 + 2*x^182 - x^181 + x^179 - x^178 + x^177 - x^176 + x^175
    - x^174 + x^173 - x^172 + x^170 - 2*x^169 + 2*x^168 - 2*x^167 + x^166 - x^164 + x^163 - x^162 + x^161 - x^160 + x^159 - x^158 + 
    x^157 - x^156 + x^154 - 2*x^153 + 2*x^152 - 2*x^151 + x^150 - x^148 + x^147 - x^146 + x^145 - x^144 + x^143 - x^142 + x^141 - x^139
    + 2*x^138 - 2*x^137 + 2*x^136 - x^135 + x^133 - x^132 + x^131 - x^130 + x^129 - x^128 + x^127 - x^126 + x^124 - 2*x^123 + 2*x^122 -
    2*x^121 + x^120 - x^118 + x^117 - x^116 - x^112 + x^111 - x^110 + x^108 - 2*x^107 + 2*x^106 - x^105 + x^103 - x^102 + x^101 + x^97 
    - x^96 + x^95 - x^93 + 2*x^92 - 2*x^91 + x^90 - x^88 + x^87 - x^86 - x^82 + x^81 - x^80 + x^78 - 2*x^77 + 2*x^76 - x^75 + x^73 - 
    x^72 + x^71 + x^67 - x^66 + x^65 - x^63 + 2*x^62 - 2*x^61 + x^60 - x^58 + x^57 - x^56 - x^52 + x^51 - x^50 + x^48 - 2*x^47 + 2*x^46
    - x^45 + x^43 - x^42 + x^41 + x^37 - x^36 + x^35 + x^32 - x^31 + x^30 - x^22 + x^21 - x^20 - x^17 + x^16 - x^15 + x^7 - x^6 + x^5 +
    x^2 - x + 1
);
eps_on_gens:=
[* 1231,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 + x^159 - x^155 - x^154 + x^150 + x^149 - x^145 - x^144 + x^140 + x^139 - x^135 - x^134 + x^130 + x^129 - x^125 - x^124 + x^120 -
    x^118 - x^115 + x^113 + x^110 - x^108 - x^105 + x^103 + x^100 - x^98 - x^95 + x^93 + x^90 - x^88 - x^85 + x^83 + x^80 + x^77 - x^75
    - x^72 + x^70 + x^67 - x^65 - x^62 + x^60 + x^57 - x^55 - x^52 + x^50 + x^47 - x^45 - x^42 + x^40 - x^36 - x^35 + x^31 + x^30 - 
    x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1231,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^79 - x^77 - x^76 + x^74 + x^73 - x^71 - x^70 + x^68 + x^67 - x^65 - x^64 + x^62 + x^61 - x^59 - x^58 + x^56 + x^55 - x^53 - 
    x^52 + x^50 + x^49 - x^47 - x^46 + x^44 + x^43 - x^41 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 
    + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1231,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - 
    x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 -
    x + 1
);
eps_on_gens:=
[* 1231,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1231,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1231,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1231,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
13
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1231,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309, 1 *], [* 353, 1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309,
        a
    *], [* 353, 1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309, -1 *], [* 353, 1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309, 1 *], [* 353,
        a
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309,
        a^3
    *], [* 353,
        a^2
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309, -1 *], [* 353,
        a
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309, 1 *], [* 353,
        a - 1
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309,
        a^3
    *], [* 353,
        a^2 - 1
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309, -1 *], [* 353,
        a - 1
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309, 1 *], [* 353, -1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309,
        a
    *], [* 353, -1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1232,
    [ [* 673, 1 *], [* 309, -1 *], [* 353, -1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a
    *], [* 309, 1 *], [* 353, 1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^2
    *], [* 309,
        a^5
    *], [* 353, 1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a
    *], [* 309, -1 *], [* 353, 1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^3
    *], [* 309, 1 *], [* 353,
        a^5
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^6
    *], [* 309,
        a^15
    *], [* 353,
        a^10
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^3
    *], [* 309, -1 *], [* 353,
        a^5
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^3
    *], [* 309, 1 *], [* 353,
        a^5 - 1
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^6
    *], [* 309,
        a^15
    *], [* 353,
        a^10 - 1
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^3
    *], [* 309, -1 *], [* 353,
        a^5 - 1
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a
    *], [* 309, 1 *], [* 353, -1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^2
    *], [* 309,
        a^5
    *], [* 353, -1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a
    *], [* 309, -1 *], [* 353, -1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^2
    *], [* 309, 1 *], [* 353, 1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^4
    *], [* 309,
        a^5
    *], [* 353, 1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^2
    *], [* 309, -1 *], [* 353, 1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^6
    *], [* 309, 1 *], [* 353,
        a^5
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^12
    *], [* 309,
        a^15
    *], [* 353,
        a^10
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^6
    *], [* 309, -1 *], [* 353,
        a^5
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^6
    *], [* 309, 1 *], [* 353,
        a^5 - 1
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^12
    *], [* 309,
        a^15
    *], [* 353,
        a^10 - 1
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^6
    *], [* 309, -1 *], [* 353,
        a^5 - 1
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
5
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^2
    *], [* 309, 1 *], [* 353, -1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^4
    *], [* 309,
        a^5
    *], [* 353, -1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673,
        a^2
    *], [* 309, -1 *], [* 353, -1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309, 1 *], [* 353, 1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309,
        a
    *], [* 353, 1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309, -1 *], [* 353, 1 *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309, 1 *], [* 353,
        a
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309,
        a^3
    *], [* 353,
        a^2
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309, -1 *], [* 353,
        a
    *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309, 1 *], [* 353,
        a - 1
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309,
        a^3
    *], [* 353,
        a^2 - 1
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309, -1 *], [* 353,
        a - 1
    *], [* 463, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309, 1 *], [* 353, -1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309,
        a
    *], [* 353, -1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1232,
    [ [* 673, -1 *], [* 309, -1 *], [* 353, -1 *], [* 463, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099, 1 *], [* 686,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1233,
    [ [* 1099, 1 *], [* 686, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 - x^60 + x^56 - x^52 + x^48 - x^44 + x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a
    *], [* 686, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^128 + x^124 - x^116 - x^112 + x^104 + x^100 - x^92 - x^88 + x^80 + x^76 - x^68 - x^64 - x^60 + x^52 + x^48 - x^40 - x^36 + x^28 + 
    x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a^3
    *], [* 686,
        a^68 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + x^62 - x^58 - x^56 + x^52 + x^50 - x^46 - x^44 + x^40 + x^38 - x^34 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - 
    x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a^3
    *], [* 686,
        a^34
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a
    *], [* 686, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 -
    x^3 + x + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a^3
    *], [* 686,
        a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a
    *], [* 686, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 -
    x^3 + x + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a^6
    *], [* 686,
        a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a^2
    *], [* 686, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a
    *], [* 686, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a^3
    *], [* 686,
        a^4 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a^3
    *], [* 686,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099,
        a^2
    *], [* 686, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1233,
    [ [* 1099, -1 *], [* 686,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1233,
    [ [* 1099, -1 *], [* 686, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 + x^236 - x^212 - x^208 - x^196 - x^192 + x^184 + x^180 + x^168 + x^164 - x^156 + x^148 - x^140 - x^136 + x^128 - x^120 + x^112 -
    x^104 - x^100 + x^92 - x^84 + x^76 + x^72 + x^60 + x^56 - x^48 - x^44 - x^32 - x^28 + x^4 + 1
);
eps_on_gens:=
[* 1234,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1234,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1234,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1234,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a
    *], [* 781, 1 *], [* 951, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781, 1 *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781, 1 *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781, 1 *], [* 951,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781, 1 *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781, 1 *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781, 1 *], [* 951,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a
    *], [* 781, 1 *], [* 951, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^9
    *], [* 781,
        a^2
    *], [* 951,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        -a^9
    *], [* 781,
        a^2
    *], [* 951,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^9
    *], [* 781,
        a^2
    *], [* 951,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        -a^9
    *], [* 781,
        a^2
    *], [* 951,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951,
        a^3 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951,
        a^3 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^9
    *], [* 781,
        a^2
    *], [* 951,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        -a^9
    *], [* 781,
        a^2
    *], [* 951,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^9
    *], [* 781,
        a^4
    *], [* 951, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a^4
    *], [* 951,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a^4
    *], [* 951,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^9
    *], [* 781,
        a^4
    *], [* 951,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a^4
    *], [* 951,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a^4
    *], [* 951,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^9
    *], [* 781,
        a^4
    *], [* 951,
        a^6 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a^4
    *], [* 951,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a^4
    *], [* 951,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^9
    *], [* 781,
        a^4
    *], [* 951, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^9
    *], [* 781,
        a^4
    *], [* 951,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^9
    *], [* 781,
        a^4
    *], [* 951,
        -a^6 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781,
        a^2
    *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        -a^3
    *], [* 781,
        a^2
    *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781,
        a^2
    *], [* 951,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        -a^3
    *], [* 781,
        a^2
    *], [* 951,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781,
        a^2
    *], [* 951,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        -a^3
    *], [* 781,
        a^2
    *], [* 951,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a
    *], [* 951,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a
    *], [* 951,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781,
        a^2 - 1
    *], [* 951, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a^2 - 1
    *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a^2 - 1
    *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781,
        a^2 - 1
    *], [* 951,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a^2 - 1
    *], [* 951,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a^2 - 1
    *], [* 951,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781,
        a^2 - 1
    *], [* 951,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781,
        a^2 - 1
    *], [* 951,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781,
        a^2 - 1
    *], [* 951,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781,
        a^2 - 1
    *], [* 951, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781,
        a^2 - 1
    *], [* 951,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781,
        a^2 - 1
    *], [* 951,
        -a^2 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781, -1 *], [* 951, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781, -1 *], [* 951, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a^3
    *], [* 781, -1 *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        -a^3
    *], [* 781, -1 *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781, -1 *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781, -1 *], [* 951,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        a
    *], [* 781, -1 *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742,
        -a
    *], [* 781, -1 *], [* 951,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781, -1 *], [* 951,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781, -1 *], [* 951,
        a^4 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1235,
    [ [* 742, 1 *], [* 781, -1 *], [* 951, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1235,
    [ [* 742, -1 *], [* 781, -1 *], [* 951, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1236,
    [ [* 829, 1 *], [* 413, 1 *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1236,
    [ [* 829, 1 *], [* 413, -1 *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 -
    x^3 + x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a
    *], [* 413, 1 *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 -
    x^3 + x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a
    *], [* 413, -1 *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 -
    x^3 + x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a^2
    *], [* 413, 1 *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 -
    x^3 + x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a^2
    *], [* 413, -1 *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a
    *], [* 413, 1 *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a
    *], [* 413, -1 *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a^2
    *], [* 413, 1 *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a^2
    *], [* 413, -1 *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a
    *], [* 413, 1 *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a
    *], [* 413, -1 *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a - 1
    *], [* 413, 1 *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1236,
    [ [* 829,
        a - 1
    *], [* 413, -1 *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1236,
    [ [* 829, -1 *], [* 413, 1 *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1236,
    [ [* 829, -1 *], [* 413, -1 *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^408 + x^406 - x^402 - x^400 + x^396 + x^394 - x^390 - x^388 + x^384 + x^382 - x^378 - x^376 + x^372 + x^370 - x^366 - x^364 + x^360 +
    x^358 - x^354 - x^352 + x^348 + x^346 - x^342 - x^340 + x^336 + x^334 - x^330 - x^328 + x^324 + x^322 - x^318 - x^316 + x^312 + 
    x^310 - x^306 - x^304 + x^300 + x^298 - x^294 - x^292 + x^288 + x^286 - x^282 - x^280 + x^276 + x^274 - x^270 - x^268 + x^264 + 
    x^262 - x^258 - x^256 + x^252 + x^250 - x^246 - x^244 + x^240 + x^238 - x^234 - x^232 + x^228 + x^226 - x^222 - x^220 + x^216 + 
    x^214 - x^210 - x^208 + x^204 - x^200 - x^198 + x^194 + x^192 - x^188 - x^186 + x^182 + x^180 - x^176 - x^174 + x^170 + x^168 - 
    x^164 - x^162 + x^158 + x^156 - x^152 - x^150 + x^146 + x^144 - x^140 - x^138 + x^134 + x^132 - x^128 - x^126 + x^122 + x^120 - 
    x^116 - x^114 + x^110 + x^108 - x^104 - x^102 + x^98 + x^96 - x^92 - x^90 + x^86 + x^84 - x^80 - x^78 + x^74 + x^72 - x^68 - x^66 +
    x^62 + x^60 - x^56 - x^54 + x^50 + x^48 - x^44 - x^42 + x^38 + x^36 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 -
    x^6 + x^2 + 1
);
eps_on_gens:=
[* 1237,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^204 - x^202 + x^200 - x^198 + x^196 - x^194 + x^192 - x^190 + x^188 - x^186 + x^184 - x^182 + x^180 - x^178 + x^176 - x^174 + x^172 -
    x^170 + x^168 - x^166 + x^164 - x^162 + x^160 - x^158 + x^156 - x^154 + x^152 - x^150 + x^148 - x^146 + x^144 - x^142 + x^140 - 
    x^138 + x^136 - x^134 + x^132 - x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - 
    x^106 + x^104 - x^102 + x^100 - x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - 
    x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 
    + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1237,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1237,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1237,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^204 + x^203 - x^201 - x^200 + x^198 + x^197 - x^195 - x^194 + x^192 + x^191 - x^189 - x^188 + x^186 + x^185 - x^183 - x^182 + x^180 +
    x^179 - x^177 - x^176 + x^174 + x^173 - x^171 - x^170 + x^168 + x^167 - x^165 - x^164 + x^162 + x^161 - x^159 - x^158 + x^156 + 
    x^155 - x^153 - x^152 + x^150 + x^149 - x^147 - x^146 + x^144 + x^143 - x^141 - x^140 + x^138 + x^137 - x^135 - x^134 + x^132 + 
    x^131 - x^129 - x^128 + x^126 + x^125 - x^123 - x^122 + x^120 + x^119 - x^117 - x^116 + x^114 + x^113 - x^111 - x^110 + x^108 + 
    x^107 - x^105 - x^104 + x^102 - x^100 - x^99 + x^97 + x^96 - x^94 - x^93 + x^91 + x^90 - x^88 - x^87 + x^85 + x^84 - x^82 - x^81 + 
    x^79 + x^78 - x^76 - x^75 + x^73 + x^72 - x^70 - x^69 + x^67 + x^66 - x^64 - x^63 + x^61 + x^60 - x^58 - x^57 + x^55 + x^54 - x^52 
    - x^51 + x^49 + x^48 - x^46 - x^45 + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + 
    x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1238,
    [ [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 -
    x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 
    + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + 
    x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 
    - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9
    + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1238,
    [ [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1238,
    [ [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1238,
    [ [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1239,
    [ [* 946, 1 *], [* 827, -1 *], [* 178, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946, 1 *], [* 827, 1 *], [* 178,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946, 1 *], [* 827, -1 *], [* 178,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1239,
    [ [* 946, 1 *], [* 827, 1 *], [* 178, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - 
    x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946,
        a
    *], [* 827, 1 *], [* 178, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^56 + x^55 - x^53 - x^52 + x^50 + x^49 - x^47 - x^46 + x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - 
    x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946,
        a^3
    *], [* 827, -1 *], [* 178,
        a^29
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^56 + x^55 - x^53 - x^52 + x^50 + x^49 - x^47 - x^46 + x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - 
    x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946,
        a^3
    *], [* 827, 1 *], [* 178,
        a^29 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - 
    x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946,
        a
    *], [* 827, -1 *], [* 178, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - 
    x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946,
        a^2
    *], [* 827, -1 *], [* 178, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^56 + x^55 - x^53 - x^52 + x^50 + x^49 - x^47 - x^46 + x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - 
    x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946,
        a^6
    *], [* 827, 1 *], [* 178,
        a^29
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^56 + x^55 - x^53 - x^52 + x^50 + x^49 - x^47 - x^46 + x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - 
    x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946,
        a^6
    *], [* 827, -1 *], [* 178,
        a^29 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - 
    x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946,
        a^2
    *], [* 827, 1 *], [* 178, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1239,
    [ [* 946, -1 *], [* 827, 1 *], [* 178, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946, -1 *], [* 827, -1 *], [* 178,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1239,
    [ [* 946, -1 *], [* 827, 1 *], [* 178,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
18
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1239,
    [ [* 946, -1 *], [* 827, -1 *], [* 178, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561, 1 *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561, 1 *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a
    *], [* 561, 1 *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a
    *], [* 561, 1 *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561, 1 *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561, 1 *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^15
    *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^15
    *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^15
    *], [* 561,
        a^4
    *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^15
    *], [* 561,
        a^4
    *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^5
    *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^5
    *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^3
    *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^3
    *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a
    *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^5
    *], [* 561,
        a^4
    *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^5
    *], [* 561,
        a^4
    *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a^2
    *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a - 1
    *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561,
        a - 1
    *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^3
    *], [* 561,
        a^2 - 1
    *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a^3
    *], [* 561,
        a^2 - 1
    *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a - 1
    *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561,
        a - 1
    *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561, -1 *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 1240,
    [ [* 497, 1 *], [* 561, -1 *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        a
    *], [* 561, -1 *], [* 311, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 2*x^2 + 2*x + 1
);
eps_on_gens:=
[* 1240,
    [ [* 497,
        1/2*(a^3 - 3*a^2 + 3*a + 1)
    *], [* 561, -1 *], [* 311, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561, -1 *], [* 311, 1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1240,
    [ [* 497, -1 *], [* 561, -1 *], [* 311, 1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023, 1 *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^9
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^18
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^15 - a^3
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023, -1 *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        -a^9
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        -a^18
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        -a^15 + a^3
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^9
    *], [* 443,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^27
    *], [* 443,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023, 1 *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^3
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^6
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^5 - a
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023, -1 *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        -a^3
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        -a^6
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        -a^5 + a
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^9
    *], [* 443,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^3
    *], [* 443,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^9
    *], [* 443,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^9
    *], [* 443,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023, 1 *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^2
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^3
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023, -1 *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        -a
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        -a^2
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        -a^3
    *], [* 443,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^3
    *], [* 443,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a
    *], [* 443,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^3
    *], [* 443,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a^3
    *], [* 443,
        a^8 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1241,
    [ [* 1023,
        a
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1242,
    [ [* 461,
        a
    *], [* 649, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1242,
    [ [* 461,
        a
    *], [* 649, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1242,
    [ [* 461, -1 *], [* 649, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1242,
    [ [* 461, 1 *], [* 649,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^57 - x^51 - x^48 + x^42 + x^39 - x^33 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1242,
    [ [* 461,
        a^22
    *], [* 649,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1242,
    [ [* 461,
        a^11 - 1
    *], [* 649,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^57 - x^51 - x^48 + x^42 + x^39 - x^33 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1242,
    [ [* 461,
        a^11
    *], [* 649,
        a^18
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1242,
    [ [* 461,
        a^11
    *], [* 649,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1242,
    [ [* 461, -1 *], [* 649,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1242,
    [ [* 461, 1 *], [* 649, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1242,
    [ [* 461,
        a^2
    *], [* 649, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1242,
    [ [* 461,
        a - 1
    *], [* 649, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453,
        a
    *], [* 342, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1243,
    [ [* 453, -1 *], [* 342, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453, 1 *], [* 342,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^192 + x^184 - x^152 - x^144 - x^136 - x^128 + x^112 + x^104 + x^96 + x^88 + x^80 - x^64 - x^56 - x^48 - x^40 + x^8 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453,
        a^112
    *], [* 342,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^92 - x^76 - x^72 - x^68 - x^64 + x^56 + x^52 + x^48 + x^44 + x^40 - x^32 - x^28 - x^24 - x^20 + x^4 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453,
        a^28
    *], [* 342,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453, -1 *], [* 342,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453,
        a^14
    *], [* 342,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453, -1 *], [* 342,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453, 1 *], [* 342,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453,
        a^16
    *], [* 342,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453,
        a^7
    *], [* 342,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453, -1 *], [* 342,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453,
        a^4
    *], [* 342,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453, -1 *], [* 342,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453,
        a^7
    *], [* 342,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453, -1 *], [* 342,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453,
        a^2
    *], [* 342,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453, -1 *], [* 342,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1243,
    [ [* 453,
        a
    *], [* 342, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1243,
    [ [* 453, -1 *], [* 342, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1244,
    [ [* 17, 1 *], [* 623, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^119 - x^115 - x^114 + x^110 + x^109 - x^105 - x^104 + x^100 + x^99 - x^95 - x^94 + x^90 - x^88 - x^85 + x^83 + x^80 - x^78 - 
    x^75 + x^73 + x^70 - x^68 - x^65 + x^63 + x^60 + x^57 - x^55 - x^52 + x^50 + x^47 - x^45 - x^42 + x^40 + x^37 - x^35 - x^32 + x^30 
    - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1244,
    [ [* 17,
        a
    *], [* 623, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^119 - x^115 - x^114 + x^110 + x^109 - x^105 - x^104 + x^100 + x^99 - x^95 - x^94 + x^90 - x^88 - x^85 + x^83 + x^80 - x^78 - 
    x^75 + x^73 + x^70 - x^68 - x^65 + x^63 + x^60 + x^57 - x^55 - x^52 + x^50 + x^47 - x^45 - x^42 + x^40 + x^37 - x^35 - x^32 + x^30 
    - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1244,
    [ [* 17,
        a^2
    *], [* 623, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - 
    x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1244,
    [ [* 17,
        a
    *], [* 623, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - 
    x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1244,
    [ [* 17,
        a^2
    *], [* 623, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1244,
    [ [* 17,
        a
    *], [* 623, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1244,
    [ [* 17,
        a^2
    *], [* 623, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
27
;
C:=Rationals();
eps_on_gens:=
[* 1244,
    [ [* 17, -1 *], [* 623, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1245,
    [ [* 997, 1 *], [* 1081, 1 *], [* 416, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1245,
    [ [* 997,
        a
    *], [* 1081, 1 *], [* 416, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1245,
    [ [* 997, -1 *], [* 1081, 1 *], [* 416, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - 
    x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 -
    x + 1
);
eps_on_gens:=
[* 1245,
    [ [* 997, 1 *], [* 1081,
        a
    *], [* 416, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - 
    x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + 
    x^4 - x^2 + 1
);
eps_on_gens:=
[* 1245,
    [ [* 997,
        a^41
    *], [* 1081,
        a^2
    *], [* 416, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - 
    x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 -
    x + 1
);
eps_on_gens:=
[* 1245,
    [ [* 997, -1 *], [* 1081,
        a
    *], [* 416, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - 
    x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 -
    x + 1
);
eps_on_gens:=
[* 1245,
    [ [* 997, 1 *], [* 1081,
        a^2
    *], [* 416, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - 
    x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + 
    x^4 - x^2 + 1
);
eps_on_gens:=
[* 1245,
    [ [* 997,
        a^41
    *], [* 1081,
        a^4
    *], [* 416, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - 
    x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 -
    x + 1
);
eps_on_gens:=
[* 1245,
    [ [* 997, -1 *], [* 1081,
        a^2
    *], [* 416, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1245,
    [ [* 997, 1 *], [* 1081, -1 *], [* 416, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1245,
    [ [* 997,
        a
    *], [* 1081, -1 *], [* 416, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1245,
    [ [* 997, -1 *], [* 1081, -1 *], [* 416, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535,
        a
    *], [* 715, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1246,
    [ [* 535, -1 *], [* 715, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535, 1 *], [* 715,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^76 - x^68 - x^64 + x^56 + x^52 - x^44 - x^40 - x^36 + x^28 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535,
        a^44 - 1
    *], [* 715,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^38 - x^34 - x^32 + x^28 + x^26 - x^22 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535,
        a^22
    *], [* 715,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535, -1 *], [* 715,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535,
        a^11
    *], [* 715,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535, -1 *], [* 715,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535,
        a^11
    *], [* 715,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535, -1 *], [* 715,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535, 1 *], [* 715,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535,
        a^4 - 1
    *], [* 715,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535,
        a^2
    *], [* 715,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535, -1 *], [* 715,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1246,
    [ [* 535,
        a
    *], [* 715, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 1246,
    [ [* 535, -1 *], [* 715, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a
    *], [* 175, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a
    *], [* 175, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162, 1 *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^3
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^6
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^9
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^11 + a^9 + a^8 - a^6 + a^4 + a^3 - a - 1
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^8 - a
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^11 - a^4
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162, -1 *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^3
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^6
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^9
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^11 - a^9 - a^8 + a^6 - a^4 - a^3 + a + 1
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^8 + a
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^11 + a^4
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^3
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^9
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^15
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^21
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^23 + a^21 - a^17 - a^15 + a^13 + a^11 - a^7 - a^5 + a
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^19 - a^5
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^23 + a^19 + a^17 - a^13 - a^11 + a^9 + a^7 - a^3 - a
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162, 1 *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^2
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^3
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^4
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^5
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^5 - a^4 + a^3 - a^2 + a - 1
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162, -1 *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^2
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^3
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^4
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^5
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        -a^5 + a^4 - a^3 + a^2 - a + 1
    *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^3
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^5
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^7
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^9
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^11
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^11 - a^9 + a^7 - a^5 + a^3 - a
    *], [* 175,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162, 1 *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^3
    *], [* 175,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^6
    *], [* 175,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162, -1 *], [* 175,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^3
    *], [* 175,
        a^14 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^3
    *], [* 175,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1247,
    [ [* 1162, 1 *], [* 175, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a
    *], [* 175, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1247,
    [ [* 1162,
        a^2
    *], [* 175, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1247,
    [ [* 1162, -1 *], [* 175, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, 1 *], [* 769, 1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a
    *], [* 769, 1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a
    *], [* 769, 1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, -1 *], [* 769, 1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, 1 *], [* 769, 1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a
    *], [* 769, 1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a
    *], [* 769, 1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, -1 *], [* 769, 1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, 1 *], [* 769,
        a
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a^3
    *], [* 769,
        a^2
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a^3
    *], [* 769,
        a
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a^5 - a
    *], [* 769,
        a^2
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, -1 *], [* 769,
        a
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        -a^3
    *], [* 769,
        a
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, 1 *], [* 769,
        a
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a^3
    *], [* 769,
        a^2
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a^3
    *], [* 769,
        a
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a^5 - a
    *], [* 769,
        a^2
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, -1 *], [* 769,
        a
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        -a^3
    *], [* 769,
        a
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, 1 *], [* 769,
        a
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a^3
    *], [* 769,
        a^4
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a^3
    *], [* 769,
        a^2
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, -1 *], [* 769,
        a
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, 1 *], [* 769,
        a
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a^3
    *], [* 769,
        a^4
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a^3
    *], [* 769,
        a^2
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, -1 *], [* 769,
        a
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, 1 *], [* 769,
        a
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a
    *], [* 769,
        a^2
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a
    *], [* 769,
        a
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a^3
    *], [* 769,
        a^2
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, -1 *], [* 769,
        a
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        -a
    *], [* 769,
        a
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, 1 *], [* 769,
        a
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a
    *], [* 769,
        a^2
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a
    *], [* 769,
        a
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a^3
    *], [* 769,
        a^2
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, -1 *], [* 769,
        a
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        -a
    *], [* 769,
        a
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, 1 *], [* 769,
        a - 1
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a^3
    *], [* 769,
        a^4 - 1
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a^3
    *], [* 769,
        a^2 - 1
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, -1 *], [* 769,
        a - 1
    *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
6
;
C<a>:=NumberField(
x^8 - 6*x^6 + 35*x^4 - 6*x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, 1 *], [* 769,
        1/35*(-6*a^6 + 35*a^4 - 210*a^2 + 1)
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a^3
    *], [* 769,
        a^4 - 1
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a^3
    *], [* 769,
        a^2 - 1
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, -1 *], [* 769,
        a - 1
    *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, 1 *], [* 769, -1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a
    *], [* 769, -1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093,
        a
    *], [* 769, -1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1248,
    [ [* 703, -1 *], [* 1093, -1 *], [* 769, -1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, 1 *], [* 769, -1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - 16*x^10 + 140*x^8 - 192*x^6 + 128*x^4 + 32*x^2 + 4
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        1/2312*(-57*a^14 + 13*a^12 - 14*a^10 + 897*a^8 - 8198*a^6 + 12970*a^4 - 12204*a^2 + 342)
    *], [* 769, -1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093,
        a
    *], [* 769, -1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1248,
    [ [* 703, 1 *], [* 1093, -1 *], [* 769, -1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^384 + x^368 - x^336 - x^320 + x^288 + x^272 - x^240 - x^224 + x^192 - x^160 - x^144 + x^112 + x^96 - x^64 - x^48 + x^16 + 1
);
eps_on_gens:=
[* 1249,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^192 - x^176 + x^160 - x^144 + x^128 - x^112 + x^96 - x^80 + x^64 - x^48 + x^32 - x^16 + 1
);
eps_on_gens:=
[* 1249,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1249,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1249,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^200 - x^150 + x^100 - x^50 + 1
);
eps_on_gens:=
[* 1250,
    [ [* 627,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1250,
    [ [* 627,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1250,
    [ [* 627,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1250,
    [ [* 627,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280, 1 *], [* 974,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1251,
    [ [* 280, 1 *], [* 974, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a
    *], [* 974, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a
    *], [* 974,
        a^23 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a
    *], [* 974,
        -a^23
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a^2
    *], [* 974,
        a^23
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a^2
    *], [* 974, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a^2
    *], [* 974,
        -a^23 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a
    *], [* 974, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a^3
    *], [* 974,
        a^23 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a^6
    *], [* 974,
        a^23
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a^2
    *], [* 974, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a
    *], [* 974, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a
    *], [* 974,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a
    *], [* 974,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a - 1
    *], [* 974,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a - 1
    *], [* 974, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280,
        a - 1
    *], [* 974,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 1251,
    [ [* 280, -1 *], [* 974, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1251,
    [ [* 280, -1 *], [* 974,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1252,
    [ [* 949, 1 *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^92 - x^84 - x^80 + x^72 + x^68 - x^60 - x^56 + x^48 - x^40 - x^36 + x^28 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^42 - x^40 + x^36 + x^34 - x^30 - x^28 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^44 + x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a^2
    *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a^2
    *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a
    *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1252,
    [ [* 949,
        a - 1
    *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1252,
    [ [* 949, -1 *], [* 627, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1253,
    [ [* 717,
        a
    *], [* 897, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1253,
    [ [* 717, -1 *], [* 897, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - 
    x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 
    + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + 
    x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 
    - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1253,
    [ [* 717, 1 *], [* 897,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^176 + x^175 - x^173 - x^172 + x^170 + x^169 - x^167 - x^166 + x^164 + x^163 - x^161 - x^160 + x^158 + x^157 - x^155 - x^154 + x^152 +
    x^151 - x^149 - x^148 + x^146 + x^145 - x^143 - x^142 + x^140 + x^139 - x^137 - x^136 + x^134 + x^133 - x^131 - x^130 + x^128 + 
    x^127 - x^125 - x^124 + x^122 + x^121 - x^119 - x^118 + x^116 + x^115 - x^113 - x^112 + x^110 + x^109 - x^107 - x^106 + x^104 + 
    x^103 - x^101 - x^100 + x^98 + x^97 - x^95 - x^94 + x^92 + x^91 - x^89 - x^88 - x^87 + x^85 + x^84 - x^82 - x^81 + x^79 + x^78 - 
    x^76 - x^75 + x^73 + x^72 - x^70 - x^69 + x^67 + x^66 - x^64 - x^63 + x^61 + x^60 - x^58 - x^57 + x^55 + x^54 - x^52 - x^51 + x^49 
    + x^48 - x^46 - x^45 + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - 
    x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1253,
    [ [* 717,
        a^89 - 1
    *], [* 897,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^176 + x^175 - x^173 - x^172 + x^170 + x^169 - x^167 - x^166 + x^164 + x^163 - x^161 - x^160 + x^158 + x^157 - x^155 - x^154 + x^152 +
    x^151 - x^149 - x^148 + x^146 + x^145 - x^143 - x^142 + x^140 + x^139 - x^137 - x^136 + x^134 + x^133 - x^131 - x^130 + x^128 + 
    x^127 - x^125 - x^124 + x^122 + x^121 - x^119 - x^118 + x^116 + x^115 - x^113 - x^112 + x^110 + x^109 - x^107 - x^106 + x^104 + 
    x^103 - x^101 - x^100 + x^98 + x^97 - x^95 - x^94 + x^92 + x^91 - x^89 - x^88 - x^87 + x^85 + x^84 - x^82 - x^81 + x^79 + x^78 - 
    x^76 - x^75 + x^73 + x^72 - x^70 - x^69 + x^67 + x^66 - x^64 - x^63 + x^61 + x^60 - x^58 - x^57 + x^55 + x^54 - x^52 - x^51 + x^49 
    + x^48 - x^46 - x^45 + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - 
    x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1253,
    [ [* 717,
        a^89
    *], [* 897,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - 
    x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 
    + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + 
    x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 
    - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1253,
    [ [* 717, -1 *], [* 897,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1253,
    [ [* 717, 1 *], [* 897, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1253,
    [ [* 717,
        a - 1
    *], [* 897, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1254,
    [ [* 343, 1 *], [* 1123, 1 *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a
    *], [* 1123, 1 *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a^2
    *], [* 1123, 1 *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1254,
    [ [* 343, -1 *], [* 1123, 1 *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343, 1 *], [* 1123,
        a
    *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a^9
    *], [* 1123,
        a^5
    *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a^18
    *], [* 1123,
        a^5
    *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343, -1 *], [* 1123,
        a
    *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343, 1 *], [* 1123,
        a^2
    *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a^9
    *], [* 1123,
        a^10
    *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a^18
    *], [* 1123,
        a^10
    *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343, -1 *], [* 1123,
        a^2
    *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343, 1 *], [* 1123,
        a
    *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a^3
    *], [* 1123,
        a^5
    *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a^6
    *], [* 1123,
        a^5
    *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343, -1 *], [* 1123,
        a
    *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343, 1 *], [* 1123,
        a - 1
    *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a^3
    *], [* 1123,
        a^5 - 1
    *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a^6
    *], [* 1123,
        a^5 - 1
    *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343, -1 *], [* 1123,
        a - 1
    *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1254,
    [ [* 343, 1 *], [* 1123, -1 *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a
    *], [* 1123, -1 *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1254,
    [ [* 343,
        a^2
    *], [* 1123, -1 *], [* 419, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1254,
    [ [* 343, -1 *], [* 1123, -1 *], [* 419, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1255,
    [ [* 6, 1 *], [* 252,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^100 - x^75 + x^50 - x^25 + 1
);
eps_on_gens:=
[* 1255,
    [ [* 6,
        a
    *], [* 252, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^100 - x^75 + x^50 - x^25 + 1
);
eps_on_gens:=
[* 1255,
    [ [* 6,
        a
    *], [* 252, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^200 - x^150 + x^100 - x^50 + 1
);
eps_on_gens:=
[* 1255,
    [ [* 6,
        a^4
    *], [* 252,
        a^125
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1255,
    [ [* 6,
        a
    *], [* 252, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1255,
    [ [* 6,
        a
    *], [* 252, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1255,
    [ [* 6,
        a^4
    *], [* 252,
        a^25
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1255,
    [ [* 6,
        a
    *], [* 252, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1255,
    [ [* 6,
        a
    *], [* 252, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1255,
    [ [* 6,
        a^4
    *], [* 252,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1255,
    [ [* 6, -1 *], [* 252, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1255,
    [ [* 6, -1 *], [* 252, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1256,
    [ [* 633, 1 *], [* 629, 1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1256,
    [ [* 633, 1 *], [* 629, -1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^42 - x^40 + x^36 + x^34 - x^30 - x^28 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, 1 *], [* 943, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^42 - x^40 + x^36 + x^34 - x^30 - x^28 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, -1 *], [* 943, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, 1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, -1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, 1 *], [* 943, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, -1 *], [* 943, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a^2
    *], [* 629, 1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a^2
    *], [* 629, -1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, 1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, -1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a^2
    *], [* 629, 1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a^2
    *], [* 629, -1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, 1 *], [* 943, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, -1 *], [* 943, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, 1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, -1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, 1 *], [* 943, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a
    *], [* 629, -1 *], [* 943, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a - 1
    *], [* 629, 1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1256,
    [ [* 633,
        a^2 - 1
    *], [* 629, -1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1256,
    [ [* 633, -1 *], [* 629, 1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1256,
    [ [* 633, -1 *], [* 629, -1 *], [* 943, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1257,
    [ [* 421, 1 *], [* 839, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^180 + x^179 - x^169 - x^168 - x^161 - x^160 + x^158 + x^157 + x^150 + x^149 - x^147 - x^146 + x^142 + x^141 - x^139 - x^138 + x^136 +
    x^135 - x^131 - x^130 + x^128 + x^127 - x^125 - x^124 - x^123 - x^122 + x^120 + x^119 - x^117 - x^116 + x^114 + x^113 + x^112 + 
    x^111 - x^109 - x^108 + x^106 + x^105 + x^104 - x^102 - x^101 - x^100 + x^98 + x^97 - x^95 - x^94 - x^93 + x^91 + x^90 + x^89 - 
    x^87 - x^86 - x^85 + x^83 + x^82 - x^80 - x^79 - x^78 + x^76 + x^75 + x^74 - x^72 - x^71 + x^69 + x^68 + x^67 + x^66 - x^64 - x^63 
    + x^61 + x^60 - x^58 - x^57 - x^56 - x^55 + x^53 + x^52 - x^50 - x^49 + x^45 + x^44 - x^42 - x^41 + x^39 + x^38 - x^34 - x^33 + 
    x^31 + x^30 + x^23 + x^22 - x^20 - x^19 - x^12 - x^11 + x + 1
);
eps_on_gens:=
[* 1257,
    [ [* 421,
        a
    *], [* 839, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^180 + x^179 - x^169 - x^168 - x^161 - x^160 + x^158 + x^157 + x^150 + x^149 - x^147 - x^146 + x^142 + x^141 - x^139 - x^138 + x^136 +
    x^135 - x^131 - x^130 + x^128 + x^127 - x^125 - x^124 - x^123 - x^122 + x^120 + x^119 - x^117 - x^116 + x^114 + x^113 + x^112 + 
    x^111 - x^109 - x^108 + x^106 + x^105 + x^104 - x^102 - x^101 - x^100 + x^98 + x^97 - x^95 - x^94 - x^93 + x^91 + x^90 + x^89 - 
    x^87 - x^86 - x^85 + x^83 + x^82 - x^80 - x^79 - x^78 + x^76 + x^75 + x^74 - x^72 - x^71 + x^69 + x^68 + x^67 + x^66 - x^64 - x^63 
    + x^61 + x^60 - x^58 - x^57 - x^56 - x^55 + x^53 + x^52 - x^50 - x^49 + x^45 + x^44 - x^42 - x^41 + x^39 + x^38 - x^34 - x^33 + 
    x^31 + x^30 + x^23 + x^22 - x^20 - x^19 - x^12 - x^11 + x + 1
);
eps_on_gens:=
[* 1257,
    [ [* 421,
        a^2
    *], [* 839, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1257,
    [ [* 421,
        a
    *], [* 839, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1257,
    [ [* 421,
        a
    *], [* 839, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1257,
    [ [* 421,
        a^2
    *], [* 839, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1257,
    [ [* 421,
        a^2
    *], [* 839, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1257,
    [ [* 421, -1 *], [* 839, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a
    *], [* 409, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445, 1 *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^9
    *], [* 409,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^9
    *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^15 - a^3
    *], [* 409,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445, -1 *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        -a^9
    *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^9
    *], [* 409,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445, 1 *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^3
    *], [* 409,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^3
    *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^5 - a
    *], [* 409,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445, -1 *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        -a^3
    *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^9
    *], [* 409,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^3
    *], [* 409,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445, 1 *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a
    *], [* 409,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a
    *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^3
    *], [* 409,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445, -1 *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        -a
    *], [* 409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a^3
    *], [* 409,
        a^8 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1258,
    [ [* 445,
        a
    *], [* 409, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^576 + x^575 - x^559 - x^558 + x^542 + x^541 - x^539 - x^538 - x^525 - x^524 + x^522 + x^521 + x^508 + x^507 - x^505 - x^504 + x^502 +
    x^501 - x^491 - x^490 + x^488 + x^487 - x^485 - x^484 + x^474 + x^473 - x^471 - x^470 + x^468 + x^467 - x^465 - x^464 - x^457 - 
    x^456 + x^454 + x^453 - x^451 - x^450 + x^448 + x^447 + x^440 + x^439 - x^437 - x^436 + x^434 + x^433 - x^431 - x^430 + x^428 + 
    x^427 - x^423 - x^422 + x^420 + x^419 - x^417 - x^416 + x^414 + x^413 - x^411 - x^410 + x^406 + x^405 - x^403 - x^402 + x^400 + 
    x^399 - x^397 - x^396 + x^394 + x^393 - x^391 - x^390 - x^389 - x^388 + x^386 + x^385 - x^383 - x^382 + x^380 + x^379 - x^377 - 
    x^376 + x^374 + x^373 + x^372 + x^371 - x^369 - x^368 + x^366 + x^365 - x^363 - x^362 + x^360 + x^359 - x^357 - x^356 - x^355 + 
    x^353 + x^352 + x^351 - x^349 - x^348 + x^346 + x^345 - x^343 - x^342 + x^340 + x^339 + x^338 - x^336 - x^335 - x^334 + x^332 + 
    x^331 - x^329 - x^328 + x^326 + x^325 - x^323 - x^322 - x^321 + x^319 + x^318 - x^316 - x^315 - x^314 + x^312 + x^311 - x^309 - 
    x^308 + x^306 + x^305 + x^304 - x^302 - x^301 + x^299 + x^298 + x^297 - x^295 - x^294 + x^292 + x^291 - x^289 - x^288 - x^287 + 
    x^285 + x^284 - x^282 - x^281 + x^279 + x^278 + x^277 - x^275 - x^274 + x^272 + x^271 + x^270 - x^268 - x^267 + x^265 + x^264 - 
    x^262 - x^261 - x^260 + x^258 + x^257 - x^255 - x^254 - x^253 + x^251 + x^250 - x^248 - x^247 + x^245 + x^244 - x^242 - x^241 - 
    x^240 + x^238 + x^237 + x^236 - x^234 - x^233 + x^231 + x^230 - x^228 - x^227 + x^225 + x^224 + x^223 - x^221 - x^220 - x^219 + 
    x^217 + x^216 - x^214 - x^213 + x^211 + x^210 - x^208 - x^207 + x^205 + x^204 + x^203 + x^202 - x^200 - x^199 + x^197 + x^196 - 
    x^194 - x^193 + x^191 + x^190 - x^188 - x^187 - x^186 - x^185 + x^183 + x^182 - x^180 - x^179 + x^177 + x^176 - x^174 - x^173 + 
    x^171 + x^170 - x^166 - x^165 + x^163 + x^162 - x^160 - x^159 + x^157 + x^156 - x^154 - x^153 + x^149 + x^148 - x^146 - x^145 + 
    x^143 + x^142 - x^140 - x^139 + x^137 + x^136 + x^129 + x^128 - x^126 - x^125 + x^123 + x^122 - x^120 - x^119 - x^112 - x^111 + 
    x^109 + x^108 - x^106 - x^105 + x^103 + x^102 - x^92 - x^91 + x^89 + x^88 - x^86 - x^85 + x^75 + x^74 - x^72 - x^71 + x^69 + x^68 +
    x^55 + x^54 - x^52 - x^51 - x^38 - x^37 + x^35 + x^34 - x^18 - x^17 + x + 1
);
eps_on_gens:=
[* 1259,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1259,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1259,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1259,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, 1 *], [* 281, 1 *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, 1 *], [* 281,
        a
    *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, 1 *], [* 281,
        a - 1
    *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, 1 *], [* 281, -1 *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757,
        a
    *], [* 281, 1 *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757,
        a^3
    *], [* 281,
        a^2
    *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757,
        a^3
    *], [* 281,
        a^2 - 1
    *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757,
        a
    *], [* 281, -1 *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, -1 *], [* 281, 1 *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, -1 *], [* 281,
        a
    *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, -1 *], [* 281,
        a - 1
    *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, -1 *], [* 281, -1 *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, 1 *], [* 281, 1 *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, 1 *], [* 281,
        a
    *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, 1 *], [* 281,
        a - 1
    *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, 1 *], [* 281, -1 *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, 1 *], [* 281,
        -a
    *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, 1 *], [* 281,
        -a + 1
    *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757,
        a^3
    *], [* 281, 1 *], [* 1081,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757,
        a^3
    *], [* 281,
        a^2
    *], [* 1081,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757,
        a^3
    *], [* 281,
        a^2 - 1
    *], [* 1081,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757,
        a^3
    *], [* 281, -1 *], [* 1081,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757,
        a^3
    *], [* 281,
        -a^2
    *], [* 1081,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757,
        a^3
    *], [* 281,
        -a^2 + 1
    *], [* 1081,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, -1 *], [* 281, 1 *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 4*x^2 + 16
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, -1 *], [* 281,
        1/4*a^2
    *], [* 1081,
        1/4*a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, -1 *], [* 281,
        a - 1
    *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, -1 *], [* 281, -1 *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, -1 *], [* 281,
        -a
    *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 11*x^2 - 10*x + 13
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, -1 *], [* 281,
        1/13*(2*a^3 - 3*a^2 + 14*a)
    *], [* 1081,
        1/13*(-2*a^3 + 3*a^2 - 14*a + 13)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, 1 *], [* 281, 1 *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, 1 *], [* 281,
        a
    *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, 1 *], [* 281,
        a - 1
    *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, 1 *], [* 281, -1 *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, 1 *], [* 281,
        -a
    *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, 1 *], [* 281,
        -a + 1
    *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757,
        a^3
    *], [* 281, 1 *], [* 1081,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757,
        a^3
    *], [* 281,
        a^2
    *], [* 1081,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757,
        a^3
    *], [* 281,
        a^2 - 1
    *], [* 1081,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757,
        a^3
    *], [* 281, -1 *], [* 1081,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757,
        a^3
    *], [* 281,
        -a^2
    *], [* 1081,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757,
        a^3
    *], [* 281,
        -a^2 + 1
    *], [* 1081,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, -1 *], [* 281, 1 *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, -1 *], [* 281,
        a
    *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, -1 *], [* 281,
        a - 1
    *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 4*x^7 + 22*x^6 - 64*x^5 + 147*x^4 - 176*x^3 + 142*x^2 - 44*x + 73
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, -1 *], [* 281, -1 *], [* 1081,
        1/25915*(84*a^7 - 74*a^6 + 1864*a^5 - 2277*a^4 + 12280*a^3 - 15478*a^2 + 31524*a - 15695)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, -1 *], [* 281,
        -a
    *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, -1 *], [* 281,
        -a + 1
    *], [* 1081,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, 1 *], [* 281, 1 *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, 1 *], [* 281,
        a
    *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, 1 *], [* 281,
        a - 1
    *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, 1 *], [* 281, -1 *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 6*x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757,
        1/2*(-a^3 - 5*a)
    *], [* 281, 1 *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757,
        a^3
    *], [* 281,
        a^2
    *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 6*x^6 + 23*x^4 + 18*x^2 + 49
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757,
        1/14*(-a^5 - 5*a^3 - 11*a)
    *], [* 281,
        1/77*(-2*a^6 - 17*a^4 - 50*a^2 - 84)
    *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757,
        a
    *], [* 281, -1 *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, -1 *], [* 281, 1 *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, -1 *], [* 281,
        -a^2 + 1
    *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1260,
    [ [* 631, 1 *], [* 757, -1 *], [* 281,
        a - 1
    *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1260,
    [ [* 631, -1 *], [* 757, -1 *], [* 281, -1 *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781, 1 *], [* 1068,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781, 1 *], [* 1068,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^16 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^16 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^12 - a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^12 + a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^3
    *], [* 1068,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^3
    *], [* 1068,
        a^16 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^6 - a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^6 + a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^3
    *], [* 1068,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^3
    *], [* 1068,
        -a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^3 + a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^3
    *], [* 1068,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^3
    *], [* 1068,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^2
    *], [* 1068,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^2
    *], [* 1068,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^2
    *], [* 1068,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^3
    *], [* 1068,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^3
    *], [* 1068,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a
    *], [* 1068,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^2 - 1
    *], [* 1068,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^2 - 1
    *], [* 1068,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781,
        a^2 - 1
    *], [* 1068,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781, -1 *], [* 1068,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1261,
    [ [* 781, -1 *], [* 1068,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^141 + x^138 + x^129 - x^126 + 2*x^123 - x^120 + x^117 + x^108 - x^105 + x^102 - x^99 + x^96 - x^93 - x^84 - x^78 - x^72 - 
    x^66 - x^60 - x^51 + x^48 - x^45 + x^42 - x^39 + x^36 + x^27 - x^24 + 2*x^21 - x^18 + x^15 + x^6 - x^3 + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 + x^33 - x^27 - x^24 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1262,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1262,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1263,
    [ [* 844, 1 *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 - x^94 + x^92 + x^86 - x^84 + 2*x^82 - x^80 + x^78 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 - x^56 - x^52 - x^48 - x^44 - x^40 - 
    x^34 + x^32 - x^30 + x^28 - x^26 + x^24 + x^18 - x^16 + 2*x^14 - x^12 + x^10 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a^2
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a^2
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a^2
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a^2
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a^2
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a^2
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a
    *], [* 422, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1263,
    [ [* 844,
        a - 1
    *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
9
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1263,
    [ [* 844, -1 *], [* 422, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1264,
    [ [* 949, 1 *], [* 161, 1 *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949,
        a
    *], [* 161, 1 *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1264,
    [ [* 949, -1 *], [* 161, 1 *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, 1 *], [* 161,
        a
    *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^42 - x^40 + x^36 + x^34 - x^30 - x^28 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949,
        a^39
    *], [* 161,
        a^2
    *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, -1 *], [* 161,
        a
    *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, 1 *], [* 161,
        a^2
    *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^42 - x^40 + x^36 + x^34 - x^30 - x^28 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949,
        a^39
    *], [* 161,
        a^4
    *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, -1 *], [* 161,
        a^2
    *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, 1 *], [* 161,
        a
    *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949,
        a^13
    *], [* 161,
        a^2
    *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, -1 *], [* 161,
        a
    *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, 1 *], [* 161,
        a^2
    *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949,
        a^13
    *], [* 161,
        a^4
    *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, -1 *], [* 161,
        a^2
    *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, 1 *], [* 161,
        a
    *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949,
        a^3
    *], [* 161,
        a^2
    *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, -1 *], [* 161,
        a
    *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, 1 *], [* 161,
        a - 1
    *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949,
        a^3
    *], [* 161,
        a^2 - 1
    *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949, -1 *], [* 161,
        a - 1
    *], [* 159, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 1264,
    [ [* 949, 1 *], [* 161, -1 *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 2*x^7 + 2*x^6 + 11*x^4 - 20*x^3 + 18*x^2 - 6*x + 1
);
eps_on_gens:=
[* 1264,
    [ [* 949,
        1/202*(-105*a^7 + 180*a^6 - 173*a^5 - 35*a^4 - 1165*a^3 + 1695*a^2 - 1550*a + 317)
    *], [* 161, -1 *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 1264,
    [ [* 949, -1 *], [* 161, -1 *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036, 1 *], [* 166, 1 *], [* 507,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a
    *], [* 166, 1 *], [* 507, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a
    *], [* 166, 1 *], [* 507, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a^4
    *], [* 166, 1 *], [* 507,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1265,
    [ [* 1036, -1 *], [* 166, 1 *], [* 507, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1265,
    [ [* 1036, -1 *], [* 166, 1 *], [* 507, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036, 1 *], [* 166,
        a
    *], [* 507, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036, 1 *], [* 166,
        a
    *], [* 507, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^78 - x^70 - x^68 + x^60 - x^56 - x^50 + x^46 + x^40 + x^34 - x^30 - x^24 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a^22
    *], [* 166,
        a^10
    *], [* 507,
        a^55
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a^22
    *], [* 166,
        a^5
    *], [* 507, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a^22
    *], [* 166,
        a^5
    *], [* 507, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036, -1 *], [* 166,
        a^2
    *], [* 507,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036, 1 *], [* 166,
        a^4
    *], [* 507,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a^11
    *], [* 166,
        a^10
    *], [* 507, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a^11
    *], [* 166,
        a^10
    *], [* 507, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^78 - x^70 - x^68 + x^60 - x^56 - x^50 + x^46 + x^40 + x^34 - x^30 - x^24 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a^44
    *], [* 166,
        a^20
    *], [* 507,
        a^55
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036, -1 *], [* 166,
        a^2
    *], [* 507, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036, -1 *], [* 166,
        a^2
    *], [* 507, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1265,
    [ [* 1036, 1 *], [* 166, -1 *], [* 507, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1265,
    [ [* 1036, 1 *], [* 166, -1 *], [* 507, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a^2
    *], [* 166, -1 *], [* 507,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a^2
    *], [* 166, -1 *], [* 507, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036,
        a^2
    *], [* 166, -1 *], [* 507, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1265,
    [ [* 1036, -1 *], [* 166, -1 *], [* 507,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1266,
    [ [* 1057, 1 *], [* 845, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a
    *], [* 845, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a^2
    *], [* 845, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a
    *], [* 845, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a
    *], [* 845, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a^2
    *], [* 845, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a
    *], [* 845, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a^2
    *], [* 845, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a^2
    *], [* 845, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a
    *], [* 845, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a
    *], [* 845, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a^2
    *], [* 845, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a
    *], [* 845, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a^2
    *], [* 845, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1266,
    [ [* 1057,
        a - 1
    *], [* 845, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1266,
    [ [* 1057, -1 *], [* 845, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183, 1 *], [* 906,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1267,
    [ [* 183, 1 *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        a^30 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        -a^30
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        -a^15 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        a^10 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        -a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^2
    *], [* 906,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^2
    *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^2
    *], [* 906,
        -a^15 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        a^6 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        -a^5 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^3
    *], [* 906,
        a^10 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^2
    *], [* 906,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^2
    *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^2
    *], [* 906,
        -a^5 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^3
    *], [* 906,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^2
    *], [* 906,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^2
    *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^2
    *], [* 906,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^6
    *], [* 906,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^2
    *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a
    *], [* 906, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a^3
    *], [* 906,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a - 1
    *], [* 906,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        -a^2
    *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183,
        a - 1
    *], [* 906,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1267,
    [ [* 183, -1 *], [* 906,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1267,
    [ [* 183, -1 *], [* 906, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1268,
    [ [* 953, 1 *], [* 635, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^156 - x^154 + x^152 - x^150 + x^148 - x^146 + x^144 - x^142 + x^140 - x^138 + x^136 - x^134 + x^132 - x^130 + x^128 - x^126 + x^124 -
    x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - x^106 + x^104 - x^102 + x^100 - x^98 + x^96 - x^94 + x^92 - x^90 + 
    x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 
    - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - 
    x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1268,
    [ [* 953,
        a
    *], [* 635, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - 
    x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 
    + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + 
    x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 
    + x^2 - x + 1
);
eps_on_gens:=
[* 1268,
    [ [* 953,
        a
    *], [* 635, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - 
    x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 
    + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + 
    x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 
    + x^2 - x + 1
);
eps_on_gens:=
[* 1268,
    [ [* 953,
        a^2
    *], [* 635, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1268,
    [ [* 953,
        a
    *], [* 635, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1268,
    [ [* 953, -1 *], [* 635, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1269,
    [ [* 1082,
        a
    *], [* 757, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1269,
    [ [* 1082,
        a
    *], [* 757, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1269,
    [ [* 1082, -1 *], [* 757, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 1269,
    [ [* 1082, 1 *], [* 757,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^132 + x^129 - x^123 - x^120 + x^114 + x^111 - x^105 - x^102 + x^96 + x^93 - x^87 - x^84 + x^78 + x^75 - x^69 - x^66 - x^63 + x^57 + 
    x^54 - x^48 - x^45 + x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1269,
    [ [* 1082,
        a^46
    *], [* 757,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1269,
    [ [* 1082,
        a^23 - 1
    *], [* 757,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^132 + x^129 - x^123 - x^120 + x^114 + x^111 - x^105 - x^102 + x^96 + x^93 - x^87 - x^84 + x^78 + x^75 - x^69 - x^66 - x^63 + x^57 + 
    x^54 - x^48 - x^45 + x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1269,
    [ [* 1082,
        a^23
    *], [* 757,
        a^18
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1269,
    [ [* 1082,
        a^23
    *], [* 757,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 1269,
    [ [* 1082, -1 *], [* 757,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1269,
    [ [* 1082, 1 *], [* 757, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + 12*x^22 - 2*x^21 + 90*x^20 - 21*x^19 + 425*x^18 - 135*x^17 + 1476*x^16 - 524*x^15 + 3618*x^14 - 1419*x^13 + 6625*x^12 - 
    2556*x^11 + 8322*x^10 - 3139*x^9 + 7560*x^8 - 2664*x^7 + 4193*x^6 - 1377*x^5 + 1563*x^4 - 370*x^3 + 180*x^2 + 12*x + 1
);
eps_on_gens:=
[* 1269,
    [ [* 1082,
        1/339554995774347612829509*(3032209715511863388274*a^23 - 3217721504627227707329*a^22 + 36805770167111610674450*a^21 - 
            44506297468609766293953*a^20 + 284186142850745007728715*a^19 - 353144308152606586308490*a^18 + 
            1391139511854572398865647*a^17 - 1781729781812492163220858*a^16 + 5067019619613657847667991*a^15 - 
            6399072152262241308596763*a^14 + 13171289832048588511282530*a^13 - 16220863001427824742892052*a^12 + 
            25836134410637758262354804*a^11 - 29939881741437455906263971*a^10 + 35425358359079811186318660*a^9 - 
            37894003231463810354081768*a^8 + 35188230338092594125207061*a^7 - 34423568227022665425446519*a^6 + 
            22645861599954820786635828*a^5 - 18795351658530357284573620*a^4 + 9433009809707346892235580*a^3 - 
            6466536912803495229741546*a^2 + 1476808556283202760343742*a - 286697525480759638469991)
    *], [* 757, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
10
;
C<a>:=NumberField(
x^8 - 2*x^7 - 4*x^6 + 4*x^5 + 19*x^4 + 2*x^3 - x^2 + 11*x + 31
);
eps_on_gens:=
[* 1269,
    [ [* 1082,
        1/60423*(1460*a^7 - 3075*a^6 - 4203*a^5 + 4010*a^4 + 25245*a^3 - 105*a^2 + 30625*a - 16782)
    *], [* 757, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017,
        a
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 + x^33 - x^27 - x^24 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017, 1 *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 + x^33 - x^27 - x^24 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017, -1 *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^66 - x^54 - x^48 + x^36 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017,
        a^63
    *], [* 511,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017, 1 *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017, -1 *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017,
        a^21
    *], [* 511,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017, 1 *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017, -1 *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017, 1 *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017, -1 *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017,
        a^9
    *], [* 511,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017,
        a^7
    *], [* 511,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017, 1 *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017, -1 *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1270,
    [ [* 1017,
        a^3
    *], [* 511,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1270,
    [ [* 1017, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1270,
    [ [* 1017, -1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a
    *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a
    *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a
    *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1271,
    [ [* 1026, -1 *], [* 621, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026, 1 *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^8
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^16
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^8
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^28 + a^20 + a^16 + a^12 - a^4 - 1
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^20 - 1
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^12 - a^8 + a^4 - 1
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^4
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^4
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^12
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^2
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^2
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^10
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^14
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^6
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^14 + a^10 + a^8 - a^2 - 1
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 2*x^15 + 2*x^14 - 2*x^13 - 13*x^12 + 10*x^11 + 48*x^10 + 104*x^9 + 105*x^8 - 104*x^7 + 48*x^6 - 10*x^5 - 13*x^4 + 2*x^3 + 2*x^2 
    - 2*x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026, -1 *], [* 621,
        1/3982*(2134*a^15 + 5335*a^14 + 6401*a^13 - 2134*a^12 - 29876*a^11 + 7469*a^10 + 113102*a^9 + 273133*a^8 + 335038*a^7 - 
            109901*a^6 - 8536*a^5 + 29876*a^4 - 38411*a^3 - 9603*a^2 + 6402*a - 2134)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^8
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^4
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^6 + a^4 - a^2 + 1
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^5
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^7
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^3
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^7 + a^5 + a^4 - a - 1
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 3*x^6 + 9*x^4 - 27*x^2 + 81
);
eps_on_gens:=
[* 1271,
    [ [* 1026, -1 *], [* 621,
        1/27*(-a^6 + 3*a^4 - 9*a^2 + 27)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^4
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^2
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^3 + a^2 - a + 1
    *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026, 1 *], [* 621,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^8
    *], [* 621,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^8
    *], [* 621,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^4 - 1
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a
    *], [* 621,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a
    *], [* 621,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^5
    *], [* 621,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^7
    *], [* 621,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^3
    *], [* 621,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^7 + a^5 + a^4 - a - 1
    *], [* 621,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 3*x^7 + 8*x^6 + 11*x^5 + 15*x^4 + 11*x^3 + 18*x^2 - 7*x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026, -1 *], [* 621,
        1/155*(-52*a^7 - 160*a^6 - 414*a^5 - 580*a^4 - 765*a^3 - 607*a^2 - 935*a + 211)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^4
    *], [* 621,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^2
    *], [* 621,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        -a^3 + a^2 - a + 1
    *], [* 621,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^2
    *], [* 621,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^2
    *], [* 621,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a^2
    *], [* 621,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 2*x^2 + 2*x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026, -1 *], [* 621,
        1/2*(-a^3 + 3*a^2 - 3*a - 1)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a
    *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a
    *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1271,
    [ [* 1026,
        a
    *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
21
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1271,
    [ [* 1026, -1 *], [* 621, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1272,
    [ [* 1009, 1 *], [* 319, -1 *], [* 425, 1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1272,
    [ [* 1009, 1 *], [* 319, -1 *], [* 425, 1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1272,
    [ [* 1009, 1 *], [* 319, 1 *], [* 425, -1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1272,
    [ [* 1009, 1 *], [* 319, 1 *], [* 425, -1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a
    *], [* 319, 1 *], [* 425, 1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a
    *], [* 319, 1 *], [* 425, 1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a
    *], [* 319, -1 *], [* 425, -1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a
    *], [* 319, -1 *], [* 425, -1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a
    *], [* 319, -1 *], [* 425, 1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a
    *], [* 319, -1 *], [* 425, 1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a
    *], [* 319, 1 *], [* 425, -1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + 182*x^16 - 312*x^14 + 26*x^12 + 169*x^10 + 3549*x^8 + 6422*x^6 + 3042*x^4 + 169*x^2 + 169
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        1/547672048993563*(-462288896730*a^22 + 49400117916*a^20 + 132524153602*a^18 - 149343476649*a^16 - 83852310703019*a^14 + 
            152747496837326*a^12 - 3248644671168*a^10 - 145555402514249*a^8 - 1533776831940561*a^6 - 2994884493231241*a^4 - 
            487627465723372*a^2 + 386446190143312)
    *], [* 319, 1 *], [* 425, -1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a^2
    *], [* 319, -1 *], [* 425, 1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a^2
    *], [* 319, -1 *], [* 425, 1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a^2
    *], [* 319, 1 *], [* 425, -1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a^2
    *], [* 319, 1 *], [* 425, -1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a
    *], [* 319, 1 *], [* 425, 1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a
    *], [* 319, 1 *], [* 425, 1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        a
    *], [* 319, -1 *], [* 425, -1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1272,
    [ [* 1009,
        -a^2
    *], [* 319, -1 *], [* 425, -1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1272,
    [ [* 1009, -1 *], [* 319, -1 *], [* 425, 1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1272,
    [ [* 1009, -1 *], [* 319, -1 *], [* 425, 1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1272,
    [ [* 1009, -1 *], [* 319, 1 *], [* 425, -1 *], [* 637, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
14
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1272,
    [ [* 1009, -1 *], [* 319, 1 *], [* 425, -1 *], [* 637, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a
    *], [* 1141, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a
    *], [* 1141, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1273,
    [ [* 135, -1 *], [* 1141, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135, 1 *], [* 1141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^57 - x^51 - x^48 + x^42 + x^39 - x^33 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^22
    *], [* 1141,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^57 - x^51 - x^48 + x^42 + x^39 - x^33 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^44
    *], [* 1141,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^11 - 1
    *], [* 1141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        -a^11
    *], [* 1141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^57 - x^51 - x^48 + x^42 + x^39 - x^33 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^11
    *], [* 1141,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^11
    *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^57 - x^51 - x^48 + x^42 + x^39 - x^33 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^55
    *], [* 1141,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135, -1 *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        -a^11 + 1
    *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135, 1 *], [* 1141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^57 - x^51 - x^48 + x^42 + x^39 - x^33 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^22
    *], [* 1141,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^11 - 1
    *], [* 1141,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^57 - x^51 - x^48 + x^42 + x^39 - x^33 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^11
    *], [* 1141,
        a^18
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^11
    *], [* 1141,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135, -1 *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135, 1 *], [* 1141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^2
    *], [* 1141,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^4
    *], [* 1141,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a - 1
    *], [* 1141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        -a
    *], [* 1141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a
    *], [* 1141,
        a^3 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a
    *], [* 1141,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^5
    *], [* 1141,
        a^3 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135, -1 *], [* 1141,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        -a + 1
    *], [* 1141,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1273,
    [ [* 135, 1 *], [* 1141, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a^2
    *], [* 1141, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1273,
    [ [* 135,
        a - 1
    *], [* 1141, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a
    *], [* 197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a
    *], [* 197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a
    *], [* 197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1274,
    [ [* 885, -1 *], [* 197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885, 1 *], [* 197,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^4
    *], [* 197,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^8
    *], [* 197,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^12
    *], [* 197,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^2 - 1
    *], [* 197,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        -a^2
    *], [* 197,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a
    *], [* 197,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^3
    *], [* 197,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^5
    *], [* 197,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a
    *], [* 197,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885, -1 *], [* 197,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        -a + 1
    *], [* 197,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885, 1 *], [* 197,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^4
    *], [* 197,
        a^21
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^4
    *], [* 197,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^2 - 1
    *], [* 197,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a
    *], [* 197,
        a^7 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^3
    *], [* 197,
        a^7 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a^5
    *], [* 197,
        a^7 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a
    *], [* 197,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885, -1 *], [* 197,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        -a + 1
    *], [* 197,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a
    *], [* 197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a
    *], [* 197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1274,
    [ [* 885,
        a
    *], [* 197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1274,
    [ [* 885, -1 *], [* 197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1275,
    [ [* 751, 1 *], [* 52, 1 *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751, 1 *], [* 52,
        a
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751, 1 *], [* 52,
        a
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751, 1 *], [* 52,
        a^2
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751, 1 *], [* 52,
        a
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1275,
    [ [* 751, 1 *], [* 52, -1 *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a
    *], [* 52, 1 *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^4
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^8
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^12
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^16
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 256
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        -1/8*a^6
    *], [* 52,
        -1/16*a^8
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a
    *], [* 52, -1 *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 256
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        1/8*a^6
    *], [* 52,
        1/16*a^8
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        -a^2
    *], [* 52, 1 *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^2
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^4
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^6
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^8
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a
    *], [* 52,
        a^2
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a
    *], [* 52, -1 *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a
    *], [* 52,
        -a^2
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 16
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        1/4*a^2
    *], [* 52, 1 *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^2
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^3
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a^5
    *], [* 52,
        a^4
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a
    *], [* 52,
        a
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a
    *], [* 52, -1 *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751,
        a
    *], [* 52,
        -a
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1275,
    [ [* 751, -1 *], [* 52, 1 *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751, -1 *], [* 52,
        a
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 10*x^4 + 25*x^2 + 25
);
eps_on_gens:=
[* 1275,
    [ [* 751, -1 *], [* 52,
        1/55*(-5*a^6 + 4*a^4 - 40*a^2 - 60)
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751, -1 *], [* 52,
        a^2
    *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1275,
    [ [* 751, -1 *], [* 52,
        a
    *], [* 851, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1275,
    [ [* 751, -1 *], [* 52, -1 *], [* 851, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1276,
    [ [* 233, 1 *], [* 89, 1 *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a
    *], [* 89, 1 *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a^2
    *], [* 89, 1 *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1276,
    [ [* 233, -1 *], [* 89, 1 *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233, 1 *], [* 89,
        a
    *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a^14
    *], [* 89,
        a^5
    *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a^28
    *], [* 89,
        a^5
    *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233, -1 *], [* 89,
        a
    *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233, 1 *], [* 89,
        a
    *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a^7
    *], [* 89,
        a^5
    *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a^14
    *], [* 89,
        a^5
    *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233, -1 *], [* 89,
        a
    *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233, 1 *], [* 89,
        a^2
    *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a^7
    *], [* 89,
        a^10
    *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a^14
    *], [* 89,
        a^10
    *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233, -1 *], [* 89,
        a^2
    *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233, 1 *], [* 89,
        a
    *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a^2
    *], [* 89,
        a^5
    *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a^4
    *], [* 89,
        a^5
    *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233, -1 *], [* 89,
        a
    *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1276,
    [ [* 233, 1 *], [* 89, -1 *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a
    *], [* 89, -1 *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1276,
    [ [* 233,
        a^2
    *], [* 89, -1 *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1276,
    [ [* 233, -1 *], [* 89, -1 *], [* 639, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^560 + x^558 - x^538 - x^536 + x^516 + x^514 - x^502 - x^500 - x^494 - x^492 + x^480 + x^478 + x^472 + x^470 - x^458 - x^456 - x^450 -
    x^448 + x^444 + x^442 + x^436 + x^434 + x^428 + x^426 - x^422 - x^420 - x^414 - x^412 - x^406 - x^404 + x^400 + x^398 + x^392 + 
    x^390 - x^386 + x^382 - x^378 - x^376 - x^370 - x^368 + x^364 - x^360 + x^356 + x^354 + x^348 + x^346 - x^342 + x^338 - x^334 - 
    x^332 + x^328 - x^324 + x^320 - x^316 + x^312 + x^310 - x^306 + x^302 - x^298 + x^294 - x^290 - x^288 + x^284 - x^280 + x^276 - 
    x^272 - x^270 + x^266 - x^262 + x^258 - x^254 + x^250 + x^248 - x^244 + x^240 - x^236 + x^232 - x^228 - x^226 + x^222 - x^218 + 
    x^214 + x^212 + x^206 + x^204 - x^200 + x^196 - x^192 - x^190 - x^184 - x^182 + x^178 - x^174 + x^170 + x^168 + x^162 + x^160 - 
    x^156 - x^154 - x^148 - x^146 - x^140 - x^138 + x^134 + x^132 + x^126 + x^124 + x^118 + x^116 - x^112 - x^110 - x^104 - x^102 + 
    x^90 + x^88 + x^82 + x^80 - x^68 - x^66 - x^60 - x^58 + x^46 + x^44 - x^24 - x^22 + x^2 + 1
);
eps_on_gens:=
[* 1277,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - 
    x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1277,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1277,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1277,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433, 1 *], [* 569,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1278,
    [ [* 433, 1 *], [* 569, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a
    *], [* 569, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a^3
    *], [* 569,
        a^35 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a^6
    *], [* 569,
        a^35
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a^2
    *], [* 569, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a
    *], [* 569, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a^3
    *], [* 569,
        a^7 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a
    *], [* 569, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a^3
    *], [* 569,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a^6
    *], [* 569,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a^2
    *], [* 569, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a^6
    *], [* 569,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433,
        a^2
    *], [* 569, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
24
;
C:=Rationals();
eps_on_gens:=
[* 1278,
    [ [* 433, -1 *], [* 569, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1278,
    [ [* 433, -1 *], [* 569,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^420 + x^417 - x^411 - x^408 + x^402 + x^399 - x^393 - x^390 + x^384 + x^381 - x^375 - x^372 + x^366 + x^363 - x^357 - x^354 + x^348 +
    x^345 - x^339 - x^336 + x^330 + x^327 - x^321 - x^318 + x^312 + x^309 - x^303 - x^300 + x^294 + x^291 - x^285 - x^282 + x^276 + 
    x^273 - x^267 - x^264 + x^258 + x^255 - x^249 - x^246 + x^240 + x^237 - x^231 - x^228 + x^222 + x^219 - x^213 - x^210 - x^207 + 
    x^201 + x^198 - x^192 - x^189 + x^183 + x^180 - x^174 - x^171 + x^165 + x^162 - x^156 - x^153 + x^147 + x^144 - x^138 - x^135 + 
    x^129 + x^126 - x^120 - x^117 + x^111 + x^108 - x^102 - x^99 + x^93 + x^90 - x^84 - x^81 + x^75 + x^72 - x^66 - x^63 + x^57 + x^54 
    - x^48 - x^45 + x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1279,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^140 + x^139 - x^137 - x^136 + x^134 + x^133 - x^131 - x^130 + x^128 + x^127 - x^125 - x^124 + x^122 + x^121 - x^119 - x^118 + x^116 +
    x^115 - x^113 - x^112 + x^110 + x^109 - x^107 - x^106 + x^104 + x^103 - x^101 - x^100 + x^98 + x^97 - x^95 - x^94 + x^92 + x^91 - 
    x^89 - x^88 + x^86 + x^85 - x^83 - x^82 + x^80 + x^79 - x^77 - x^76 + x^74 + x^73 - x^71 - x^70 - x^69 + x^67 + x^66 - x^64 - x^63 
    + x^61 + x^60 - x^58 - x^57 + x^55 + x^54 - x^52 - x^51 + x^49 + x^48 - x^46 - x^45 + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - 
    x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + 
    x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1279,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - 
    x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 
    + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1279,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1279,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1279,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1279,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1280,
    [ [* 261, 1 *], [* 257, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1280,
    [ [* 261, -1 *], [* 257, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
7
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261, 1 *], [* 257,
        a
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257,
        a^16
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257,
        a^8
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a^3
    *], [* 257,
        a^16
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257,
        a^4
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a^3
    *], [* 257,
        a^8
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257,
        a^2
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a^3
    *], [* 257,
        a^4
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257,
        a
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a^3
    *], [* 257,
        a^2
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261, -1 *], [* 257,
        a
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        -a
    *], [* 257,
        a
    *], [* 511, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1280,
    [ [* 261, 1 *], [* 257, -1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257, -1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257, -1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257, -1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257, -1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1280,
    [ [* 261,
        a
    *], [* 257, -1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1280,
    [ [* 261, -1 *], [* 257, -1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1281,
    [ [* 673, 1 *], [* 367, 1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673, 1 *], [* 367,
        a
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673, 1 *], [* 367,
        a - 1
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1281,
    [ [* 673, 1 *], [* 367, -1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        a^10
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        a^10 - 1
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        -a^10
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        -a^10 + 1
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        a^5
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        a^5 - 1
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        -a^5
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        -a^5 + 1
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^3
    *], [* 367,
        a^10
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^3
    *], [* 367,
        a^10 - 1
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^2
    *], [* 367, 1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^2
    *], [* 367,
        a^5
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^2
    *], [* 367,
        a^5 - 1
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^2
    *], [* 367, -1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^2
    *], [* 367,
        -a^5
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^2
    *], [* 367,
        -a^5 + 1
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        a^2
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        a^2 - 1
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        -a^2
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        -a^2 + 1
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^3
    *], [* 367,
        a^5
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^3
    *], [* 367,
        a^5 - 1
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        a
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        a - 1
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        -a
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367,
        -a + 1
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^2
    *], [* 367, 1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^6
    *], [* 367,
        a^5
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^6
    *], [* 367,
        a^5 - 1
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^2
    *], [* 367, -1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^3
    *], [* 367,
        a^2
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a^3
    *], [* 367,
        a^2 - 1
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a - 1
    *], [* 367, 1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a - 1
    *], [* 367,
        a
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a - 1
    *], [* 367,
        a - 1
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a - 1
    *], [* 367, -1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a - 1
    *], [* 367,
        -a
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673,
        a - 1
    *], [* 367,
        -a + 1
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1281,
    [ [* 673, -1 *], [* 367, 1 *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673, -1 *], [* 367,
        a
    *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1281,
    [ [* 673, -1 *], [* 367,
        a - 1
    *], [* 428, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1281,
    [ [* 673, -1 *], [* 367, -1 *], [* 428, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^256 - x^192 + x^128 - x^64 + 1
);
eps_on_gens:=
[* 1282,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + 1
);
eps_on_gens:=
[* 1282,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^640 - x^639 + x^638 - x^637 + x^636 - x^635 + x^634 - x^633 + x^632 - x^631 + x^630 - x^629 + x^628 - x^627 + x^626 - x^625 + x^624 -
    x^623 + x^622 - x^621 + x^620 - x^619 + x^618 - x^617 + x^616 - x^615 + x^614 - x^613 + x^612 - x^611 + x^610 - x^609 + x^608 - 
    x^607 + x^606 - x^605 + x^604 - x^603 + x^602 - x^601 + x^600 - x^599 + x^598 - x^597 + x^596 - x^595 + x^594 - x^593 + x^592 - 
    x^591 + x^590 - x^589 + x^588 - x^587 + x^586 - x^585 + x^584 - x^583 + x^582 - x^581 + x^580 - x^579 + x^578 - x^577 + x^576 - 
    x^575 + x^574 - x^573 + x^572 - x^571 + x^570 - x^569 + x^568 - x^567 + x^566 - x^565 + x^564 - x^563 + x^562 - x^561 + x^560 - 
    x^559 + x^558 - x^557 + x^556 - x^555 + x^554 - x^553 + x^552 - x^551 + x^550 - x^549 + x^548 - x^547 + x^546 - x^545 + x^544 - 
    x^543 + x^542 - x^541 + x^540 - x^539 + x^538 - x^537 + x^536 - x^535 + x^534 - x^533 + x^532 - x^531 + x^530 - x^529 + x^528 - 
    x^527 + x^526 - x^525 + x^524 - x^523 + x^522 - x^521 + x^520 - x^519 + x^518 - x^517 + x^516 - x^515 + x^514 - x^513 + x^512 - 
    x^511 + x^510 - x^509 + x^508 - x^507 + x^506 - x^505 + x^504 - x^503 + x^502 - x^501 + x^500 - x^499 + x^498 - x^497 + x^496 - 
    x^495 + x^494 - x^493 + x^492 - x^491 + x^490 - x^489 + x^488 - x^487 + x^486 - x^485 + x^484 - x^483 + x^482 - x^481 + x^480 - 
    x^479 + x^478 - x^477 + x^476 - x^475 + x^474 - x^473 + x^472 - x^471 + x^470 - x^469 + x^468 - x^467 + x^466 - x^465 + x^464 - 
    x^463 + x^462 - x^461 + x^460 - x^459 + x^458 - x^457 + x^456 - x^455 + x^454 - x^453 + x^452 - x^451 + x^450 - x^449 + x^448 - 
    x^447 + x^446 - x^445 + x^444 - x^443 + x^442 - x^441 + x^440 - x^439 + x^438 - x^437 + x^436 - x^435 + x^434 - x^433 + x^432 - 
    x^431 + x^430 - x^429 + x^428 - x^427 + x^426 - x^425 + x^424 - x^423 + x^422 - x^421 + x^420 - x^419 + x^418 - x^417 + x^416 - 
    x^415 + x^414 - x^413 + x^412 - x^411 + x^410 - x^409 + x^408 - x^407 + x^406 - x^405 + x^404 - x^403 + x^402 - x^401 + x^400 - 
    x^399 + x^398 - x^397 + x^396 - x^395 + x^394 - x^393 + x^392 - x^391 + x^390 - x^389 + x^388 - x^387 + x^386 - x^385 + x^384 - 
    x^383 + x^382 - x^381 + x^380 - x^379 + x^378 - x^377 + x^376 - x^375 + x^374 - x^373 + x^372 - x^371 + x^370 - x^369 + x^368 - 
    x^367 + x^366 - x^365 + x^364 - x^363 + x^362 - x^361 + x^360 - x^359 + x^358 - x^357 + x^356 - x^355 + x^354 - x^353 + x^352 - 
    x^351 + x^350 - x^349 + x^348 - x^347 + x^346 - x^345 + x^344 - x^343 + x^342 - x^341 + x^340 - x^339 + x^338 - x^337 + x^336 - 
    x^335 + x^334 - x^333 + x^332 - x^331 + x^330 - x^329 + x^328 - x^327 + x^326 - x^325 + x^324 - x^323 + x^322 - x^321 + x^320 - 
    x^319 + x^318 - x^317 + x^316 - x^315 + x^314 - x^313 + x^312 - x^311 + x^310 - x^309 + x^308 - x^307 + x^306 - x^305 + x^304 - 
    x^303 + x^302 - x^301 + x^300 - x^299 + x^298 - x^297 + x^296 - x^295 + x^294 - x^293 + x^292 - x^291 + x^290 - x^289 + x^288 - 
    x^287 + x^286 - x^285 + x^284 - x^283 + x^282 - x^281 + x^280 - x^279 + x^278 - x^277 + x^276 - x^275 + x^274 - x^273 + x^272 - 
    x^271 + x^270 - x^269 + x^268 - x^267 + x^266 - x^265 + x^264 - x^263 + x^262 - x^261 + x^260 - x^259 + x^258 - x^257 + x^256 - 
    x^255 + x^254 - x^253 + x^252 - x^251 + x^250 - x^249 + x^248 - x^247 + x^246 - x^245 + x^244 - x^243 + x^242 - x^241 + x^240 - 
    x^239 + x^238 - x^237 + x^236 - x^235 + x^234 - x^233 + x^232 - x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - x^225 + x^224 - 
    x^223 + x^222 - x^221 + x^220 - x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - x^213 + x^212 - x^211 + x^210 - x^209 + x^208 - 
    x^207 + x^206 - x^205 + x^204 - x^203 + x^202 - x^201 + x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + x^194 - x^193 + x^192 - 
    x^191 + x^190 - x^189 + x^188 - x^187 + x^186 - x^185 + x^184 - x^183 + x^182 - x^181 + x^180 - x^179 + x^178 - x^177 + x^176 - 
    x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - 
    x^159 + x^158 - x^157 + x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - 
    x^143 + x^142 - x^141 + x^140 - x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - 
    x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - 
    x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + 
    x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 
    - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - 
    x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 
    + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + 
    x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1283,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1283,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1284,
    [ [* 109, 1 *], [* 857, 1 *], [* 643, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1284,
    [ [* 109, 1 *], [* 857, -1 *], [* 643, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - 
    x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 
    + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1284,
    [ [* 109,
        a
    *], [* 857, 1 *], [* 643, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - 
    x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 
    + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1284,
    [ [* 109,
        a
    *], [* 857, -1 *], [* 643, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - 
    x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 
    + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1284,
    [ [* 109,
        a^2
    *], [* 857, 1 *], [* 643, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - 
    x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 
    + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1284,
    [ [* 109,
        a^2
    *], [* 857, -1 *], [* 643, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1284,
    [ [* 109, -1 *], [* 857, 1 *], [* 643, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1284,
    [ [* 109, -1 *], [* 857, -1 *], [* 643, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031, 1 *], [* 772,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^128 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^128 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        a^32
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        -a^32
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        -a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        -a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        -a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031,
        a
    *], [* 772,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1285,
    [ [* 1031, -1 *], [* 772,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^212 + x^211 - x^209 - x^208 + x^206 + x^205 - x^203 - x^202 + x^200 + x^199 - x^197 - x^196 + x^194 + x^193 - x^191 - x^190 + x^188 +
    x^187 - x^185 - x^184 + x^182 + x^181 - x^179 - x^178 + x^176 + x^175 - x^173 - x^172 + x^170 + x^169 - x^167 - x^166 + x^164 + 
    x^163 - x^161 - x^160 + x^158 + x^157 - x^155 - x^154 + x^152 + x^151 - x^149 - x^148 + x^146 + x^145 - x^143 - x^142 + x^140 + 
    x^139 - x^137 - x^136 + x^134 + x^133 - x^131 - x^130 + x^128 + x^127 - x^125 - x^124 + x^122 + x^121 - x^119 - x^118 + x^116 + 
    x^115 - x^113 - x^112 + x^110 + x^109 - x^107 - x^106 - x^105 + x^103 + x^102 - x^100 - x^99 + x^97 + x^96 - x^94 - x^93 + x^91 + 
    x^90 - x^88 - x^87 + x^85 + x^84 - x^82 - x^81 + x^79 + x^78 - x^76 - x^75 + x^73 + x^72 - x^70 - x^69 + x^67 + x^66 - x^64 - x^63 
    + x^61 + x^60 - x^58 - x^57 + x^55 + x^54 - x^52 - x^51 + x^49 + x^48 - x^46 - x^45 + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - 
    x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + 
    x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1286,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + 
    x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 
    - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - 
    x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 
    + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1286,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1286,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1286,
    [ [* 11, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496, 1 *], [* 1145,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496, 1 *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a
    *], [* 496, 1 *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^3
    *], [* 496, 1 *], [* 1145,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496, 1 *], [* 1145,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^2
    *], [* 496, 1 *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496, 1 *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496, 1 *], [* 1145,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a
    *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a
    *], [* 1145,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a
    *], [* 1145,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496,
        a^5
    *], [* 1145,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496,
        a^5
    *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496,
        a^5
    *], [* 1145,
        -a^10 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^12
    *], [* 496,
        a^5
    *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^12
    *], [* 496,
        a^5
    *], [* 1145,
        a^10 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^12
    *], [* 496,
        a^5
    *], [* 1145,
        -a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        a
    *], [* 1145,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        a
    *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        a
    *], [* 1145,
        -a^2 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a
    *], [* 1145,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a
    *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a
    *], [* 1145,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^3
    *], [* 496,
        a^5
    *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^3
    *], [* 496,
        a^5
    *], [* 1145,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^3
    *], [* 496,
        a^5
    *], [* 1145,
        -a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496,
        a^5
    *], [* 1145,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496,
        a^5
    *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496,
        a^5
    *], [* 1145,
        -a^5 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        a
    *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        a
    *], [* 1145,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        a
    *], [* 1145,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a
    *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a^3
    *], [* 1145,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496,
        a^15
    *], [* 1145,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^2
    *], [* 496,
        a^5
    *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^4
    *], [* 496,
        a^5
    *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^12
    *], [* 496,
        a^15
    *], [* 1145,
        a^10 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        a^3
    *], [* 1145,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        a
    *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a - 1
    *], [* 1145,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a - 1
    *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496,
        a - 1
    *], [* 1145,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^3
    *], [* 496,
        a^5 - 1
    *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^3
    *], [* 496,
        a^5 - 1
    *], [* 1145,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^3
    *], [* 496,
        a^5 - 1
    *], [* 1145,
        -a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496,
        a^5 - 1
    *], [* 1145,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496,
        a^5 - 1
    *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496,
        a^5 - 1
    *], [* 1145,
        -a^5 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        a - 1
    *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 4*x^2 + 16
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        1/4*(a^2 - 4)
    *], [* 1145,
        1/4*(a^2 - 4)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 11*x^2 - 10*x + 13
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496,
        1/13*(-2*a^3 + 3*a^2 - 14*a)
    *], [* 1145,
        1/13*(2*a^3 - 3*a^2 + 14*a - 13)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496, -1 *], [* 1145,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1287,
    [ [* 937, 1 *], [* 496, -1 *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        -a^8
    *], [* 496, -1 *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^3
    *], [* 496, -1 *], [* 1145,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^6
    *], [* 496, -1 *], [* 1145,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937,
        a^2
    *], [* 496, -1 *], [* 1145, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496, -1 *], [* 1145, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 + 5*x^6 + 4*x^5 + 19*x^4 + 14*x^3 + 20*x^2 - 4*x + 1
);
eps_on_gens:=
[* 1287,
    [ [* 937, -1 *], [* 496, -1 *], [* 1145,
        1/543*(-115*a^7 - 135*a^6 - 567*a^5 - 535*a^4 - 2160*a^3 - 2025*a^2 - 2180*a - 108)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1288,
    [ [* 185, 1 *], [* 281, 1 *], [* 967, -1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1288,
    [ [* 185, 1 *], [* 281, 1 *], [* 967, -1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a
    *], [* 281, 1 *], [* 967, 1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a
    *], [* 281, 1 *], [* 967, 1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a - 1
    *], [* 281, 1 *], [* 967, -1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a - 1
    *], [* 281, 1 *], [* 967, -1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1288,
    [ [* 185, -1 *], [* 281, 1 *], [* 967, 1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1288,
    [ [* 185, -1 *], [* 281, 1 *], [* 967, 1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185, 1 *], [* 281,
        a
    *], [* 967, 1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185, 1 *], [* 281,
        a
    *], [* 967, 1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a^11
    *], [* 281,
        a^3
    *], [* 967, -1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a^11
    *], [* 281,
        a^3
    *], [* 967, -1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a^11 - 1
    *], [* 281,
        a^3
    *], [* 967, 1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a^11 - 1
    *], [* 281,
        a^3
    *], [* 967, 1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185, -1 *], [* 281,
        a
    *], [* 967, -1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185, -1 *], [* 281,
        a
    *], [* 967, -1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185, 1 *], [* 281,
        a^2
    *], [* 967, -1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185, 1 *], [* 281,
        a^2
    *], [* 967, -1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a^11
    *], [* 281,
        a^6
    *], [* 967, 1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a^11
    *], [* 281,
        a^6
    *], [* 967, 1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a^11 - 1
    *], [* 281,
        a^6
    *], [* 967, -1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a^11 - 1
    *], [* 281,
        a^6
    *], [* 967, -1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185, -1 *], [* 281,
        a^2
    *], [* 967, 1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185, -1 *], [* 281,
        a^2
    *], [* 967, 1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1288,
    [ [* 185, 1 *], [* 281, -1 *], [* 967, 1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1288,
    [ [* 185, 1 *], [* 281, -1 *], [* 967, 1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a
    *], [* 281, -1 *], [* 967, -1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a
    *], [* 281, -1 *], [* 967, -1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a - 1
    *], [* 281, -1 *], [* 967, 1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1288,
    [ [* 185,
        a - 1
    *], [* 281, -1 *], [* 967, 1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1288,
    [ [* 185, -1 *], [* 281, -1 *], [* 967, -1 *], [* 645, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1288,
    [ [* 185, -1 *], [* 281, -1 *], [* 967, -1 *], [* 645, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^528 + x^524 - x^500 - x^496 + x^472 + x^468 - x^444 - x^440 - x^436 - x^432 + x^416 + x^412 + x^408 + x^404 - x^388 - x^384 - x^380 -
    x^376 + x^360 + x^356 + x^352 + x^348 + x^344 + x^340 - x^332 - x^328 - x^324 - x^320 - x^316 - x^312 + x^304 + x^300 + x^296 + 
    x^292 + x^288 + x^284 - x^276 - x^272 - x^268 - x^264 - x^260 - x^256 - x^252 + x^244 + x^240 + x^236 + x^232 + x^228 + x^224 - 
    x^216 - x^212 - x^208 - x^204 - x^200 - x^196 + x^188 + x^184 + x^180 + x^176 + x^172 + x^168 - x^152 - x^148 - x^144 - x^140 + 
    x^124 + x^120 + x^116 + x^112 - x^96 - x^92 - x^88 - x^84 + x^60 + x^56 - x^32 - x^28 + x^4 + 1
);
eps_on_gens:=
[* 1289,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^88 - x^84 + x^80 - x^76 + x^72 - x^68 + x^64 - x^60 + x^56 - x^52 + x^48 - x^44 + x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - 
    x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1289,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1289,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1289,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1290,
    [ [* 517, 1 *], [* 691, 1 *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517,
        a
    *], [* 691, 1 *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1290,
    [ [* 517, -1 *], [* 691, 1 *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, 1 *], [* 691,
        a
    *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517,
        a^21
    *], [* 691,
        a^2
    *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, -1 *], [* 691,
        a
    *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, 1 *], [* 691,
        a^2
    *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517,
        a^21
    *], [* 691,
        a^4
    *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, -1 *], [* 691,
        a^2
    *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, 1 *], [* 691,
        a
    *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517,
        a^7
    *], [* 691,
        a^2
    *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, -1 *], [* 691,
        a
    *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, 1 *], [* 691,
        a^2
    *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517,
        a^7
    *], [* 691,
        a^4
    *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, -1 *], [* 691,
        a^2
    *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, 1 *], [* 691,
        a
    *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517,
        a^3
    *], [* 691,
        a^2
    *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, -1 *], [* 691,
        a
    *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, 1 *], [* 691,
        a - 1
    *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517,
        a^3
    *], [* 691,
        a^2 - 1
    *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517, -1 *], [* 691,
        a - 1
    *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1290,
    [ [* 517, 1 *], [* 691, -1 *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1290,
    [ [* 517,
        a
    *], [* 691, -1 *], [* 431, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
24
;
C:=Rationals();
eps_on_gens:=
[* 1290,
    [ [* 517, -1 *], [* 691, -1 *], [* 431, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^336 - x^335 + x^334 + x^331 - x^330 + x^329 - x^321 + x^320 - x^319 - x^316 + x^315 - x^314 + x^306 - x^305 + x^304 + x^301 - x^300 +
    x^299 + x^293 - x^292 + x^290 - x^289 + x^288 - x^287 + x^285 - x^284 - x^278 + x^277 - x^275 + x^274 - x^273 + x^272 - x^270 + 
    x^269 + x^263 - x^262 + x^260 - x^259 + x^258 - x^257 + x^255 - x^254 - x^248 + x^247 - x^245 + x^244 - x^243 + x^242 - x^240 + 
    x^239 + x^233 - x^232 + x^230 - x^229 + x^228 - x^227 + x^225 - x^224 - x^218 + x^217 - x^215 + x^214 - x^213 + x^212 - x^210 + 
    x^209 - x^207 + x^206 - x^205 + x^203 - 2*x^202 + x^201 - x^199 + x^198 - x^197 + x^195 - x^194 + x^192 - x^191 + x^190 - x^188 + 
    2*x^187 - x^186 + x^184 - x^183 + x^182 - x^180 + x^179 - x^177 + x^176 - x^175 + x^173 - 2*x^172 + x^171 - x^169 + x^168 - x^167 +
    x^165 - 2*x^164 + x^163 - x^161 + x^160 - x^159 + x^157 - x^156 + x^154 - x^153 + x^152 - x^150 + 2*x^149 - x^148 + x^146 - x^145 +
    x^144 - x^142 + x^141 - x^139 + x^138 - x^137 + x^135 - 2*x^134 + x^133 - x^131 + x^130 - x^129 + x^127 - x^126 + x^124 - x^123 + 
    x^122 - x^121 + x^119 - x^118 - x^112 + x^111 - x^109 + x^108 - x^107 + x^106 - x^104 + x^103 + x^97 - x^96 + x^94 - x^93 + x^92 - 
    x^91 + x^89 - x^88 - x^82 + x^81 - x^79 + x^78 - x^77 + x^76 - x^74 + x^73 + x^67 - x^66 + x^64 - x^63 + x^62 - x^61 + x^59 - x^58 
    - x^52 + x^51 - x^49 + x^48 - x^47 + x^46 - x^44 + x^43 + x^37 - x^36 + x^35 + x^32 - x^31 + x^30 - x^22 + x^21 - x^20 - x^17 + 
    x^16 - x^15 + x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1291,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^168 + x^167 - x^163 - x^162 + x^158 + x^157 - x^153 - x^152 + x^148 + x^147 - x^143 - x^142 + x^138 + x^137 - x^133 - x^132 + x^128 +
    x^127 - x^125 - x^124 - x^123 - x^122 + x^120 + x^119 + x^118 + x^117 - x^115 - x^114 - x^113 - x^112 + x^110 + x^109 + x^108 + 
    x^107 - x^105 - x^104 - x^103 - x^102 + x^100 + x^99 + x^98 + x^97 - x^95 - x^94 - x^93 - x^92 + x^90 + x^89 + x^88 + x^87 - x^85 -
    x^84 - x^83 + x^81 + x^80 + x^79 + x^78 - x^76 - x^75 - x^74 - x^73 + x^71 + x^70 + x^69 + x^68 - x^66 - x^65 - x^64 - x^63 + x^61 
    + x^60 + x^59 + x^58 - x^56 - x^55 - x^54 - x^53 + x^51 + x^50 + x^49 + x^48 - x^46 - x^45 - x^44 - x^43 + x^41 + x^40 - x^36 - 
    x^35 + x^31 + x^30 - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1291,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^84 + x^83 - x^81 - x^80 + x^78 + x^77 - x^75 - x^74 + x^72 + x^71 - x^69 - x^68 + x^66 + x^65 - x^63 - x^62 + x^60 + x^59 - x^57 - 
    x^56 + x^54 + x^53 - x^51 - x^50 + x^48 + x^47 - x^45 - x^44 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 
    - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1291,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4
    - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1291,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1291,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1291,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1291,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1291,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1292,
    [ [* 989, 1 *], [* 477, 1 *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a
    *], [* 477, 1 *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a
    *], [* 477, 1 *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a
    *], [* 477, 1 *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1292,
    [ [* 989, -1 *], [* 477, 1 *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989, 1 *], [* 477,
        a
    *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^9
    *], [* 477,
        a^8
    *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^9
    *], [* 477,
        a^4
    *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^9
    *], [* 477,
        a^2
    *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989, -1 *], [* 477,
        a
    *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989, 1 *], [* 477,
        a^2
    *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^9
    *], [* 477,
        a^16
    *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^9
    *], [* 477,
        a^8
    *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^9
    *], [* 477,
        a^4
    *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989, -1 *], [* 477,
        a^2
    *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989, 1 *], [* 477,
        a
    *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^3
    *], [* 477,
        a^8
    *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^3
    *], [* 477,
        a^4
    *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^3
    *], [* 477,
        a^2
    *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989, -1 *], [* 477,
        a
    *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989, 1 *], [* 477,
        a - 1
    *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^3
    *], [* 477,
        a^8 - 1
    *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^3
    *], [* 477,
        a^4 - 1
    *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^3
    *], [* 477,
        a^2 - 1
    *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989, -1 *], [* 477,
        a - 1
    *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1292,
    [ [* 989, 1 *], [* 477, -1 *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a
    *], [* 477, -1 *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
3
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^3
    *], [* 477, -1 *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1292,
    [ [* 989,
        a^3
    *], [* 477, -1 *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 1292,
    [ [* 989, -1 *], [* 477, -1 *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1293,
    [ [* 7, 1 *], [* 863, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^168 + x^167 - x^163 - x^162 + x^158 + x^157 - x^153 - x^152 + x^148 + x^147 - x^143 - x^142 + x^138 + x^137 - x^133 - x^132 + x^128 +
    x^127 - x^125 - x^124 - x^123 - x^122 + x^120 + x^119 + x^118 + x^117 - x^115 - x^114 - x^113 - x^112 + x^110 + x^109 + x^108 + 
    x^107 - x^105 - x^104 - x^103 - x^102 + x^100 + x^99 + x^98 + x^97 - x^95 - x^94 - x^93 - x^92 + x^90 + x^89 + x^88 + x^87 - x^85 -
    x^84 - x^83 + x^81 + x^80 + x^79 + x^78 - x^76 - x^75 - x^74 - x^73 + x^71 + x^70 + x^69 + x^68 - x^66 - x^65 - x^64 - x^63 + x^61 
    + x^60 + x^59 + x^58 - x^56 - x^55 - x^54 - x^53 + x^51 + x^50 + x^49 + x^48 - x^46 - x^45 - x^44 - x^43 + x^41 + x^40 - x^36 - 
    x^35 + x^31 + x^30 - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1293,
    [ [* 7,
        a
    *], [* 863, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^168 + x^167 - x^163 - x^162 + x^158 + x^157 - x^153 - x^152 + x^148 + x^147 - x^143 - x^142 + x^138 + x^137 - x^133 - x^132 + x^128 +
    x^127 - x^125 - x^124 - x^123 - x^122 + x^120 + x^119 + x^118 + x^117 - x^115 - x^114 - x^113 - x^112 + x^110 + x^109 + x^108 + 
    x^107 - x^105 - x^104 - x^103 - x^102 + x^100 + x^99 + x^98 + x^97 - x^95 - x^94 - x^93 - x^92 + x^90 + x^89 + x^88 + x^87 - x^85 -
    x^84 - x^83 + x^81 + x^80 + x^79 + x^78 - x^76 - x^75 - x^74 - x^73 + x^71 + x^70 + x^69 + x^68 - x^66 - x^65 - x^64 - x^63 + x^61 
    + x^60 + x^59 + x^58 - x^56 - x^55 - x^54 - x^53 + x^51 + x^50 + x^49 + x^48 - x^46 - x^45 - x^44 - x^43 + x^41 + x^40 - x^36 - 
    x^35 + x^31 + x^30 - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1293,
    [ [* 7,
        a^2
    *], [* 863, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4
    - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1293,
    [ [* 7,
        a
    *], [* 863, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4
    - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1293,
    [ [* 7,
        a^2
    *], [* 863, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1293,
    [ [* 7,
        a
    *], [* 863, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1293,
    [ [* 7,
        a^4
    *], [* 863, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 1293,
    [ [* 7, -1 *], [* 863, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^288 + x^287 - x^271 - x^270 - x^269 - x^268 + x^254 + x^253 + x^252 + x^251 + x^250 + x^249 - x^237 - x^236 - x^235 - x^234 - x^233 -
    x^232 - x^231 - x^230 + x^220 + x^219 + x^218 + x^217 + x^216 + x^215 + x^214 + x^213 + x^212 + x^211 - x^203 - x^202 - x^201 - 
    x^200 - x^199 - x^198 - x^197 - x^196 - x^195 - x^194 - x^193 - x^192 + x^186 + x^185 + x^184 + x^183 + x^182 + x^181 + x^180 + 
    x^179 + x^178 + x^177 + x^176 + x^175 + x^174 + x^173 - x^169 - x^168 - x^167 - x^166 - x^165 - x^164 - x^163 - x^162 - x^161 - 
    x^160 - x^159 - x^158 - x^157 - x^156 - x^155 - x^154 + x^152 + x^151 + x^150 + x^149 + x^148 + x^147 + x^146 + x^145 + x^144 + 
    x^143 + x^142 + x^141 + x^140 + x^139 + x^138 + x^137 + x^136 - x^134 - x^133 - x^132 - x^131 - x^130 - x^129 - x^128 - x^127 - 
    x^126 - x^125 - x^124 - x^123 - x^122 - x^121 - x^120 - x^119 + x^115 + x^114 + x^113 + x^112 + x^111 + x^110 + x^109 + x^108 + 
    x^107 + x^106 + x^105 + x^104 + x^103 + x^102 - x^96 - x^95 - x^94 - x^93 - x^92 - x^91 - x^90 - x^89 - x^88 - x^87 - x^86 - x^85 +
    x^77 + x^76 + x^75 + x^74 + x^73 + x^72 + x^71 + x^70 + x^69 + x^68 - x^58 - x^57 - x^56 - x^55 - x^54 - x^53 - x^52 - x^51 + x^39 
    + x^38 + x^37 + x^36 + x^35 + x^34 - x^20 - x^19 - x^18 - x^17 + x + 1
);
eps_on_gens:=
[* 1294,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1294,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1294,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
22
;
C:=Rationals();
eps_on_gens:=
[* 1294,
    [ [* 5, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631, 1 *], [* 556, 1 *], [* 1037,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631, 1 *], [* 556,
        a
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631, 1 *], [* 556,
        a
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631, 1 *], [* 556,
        a^2 - 1
    *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1295,
    [ [* 631, 1 *], [* 556, -1 *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1295,
    [ [* 631, 1 *], [* 556, -1 *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, 1 *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, 1 *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a^6
    *], [* 1037,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a^6
    *], [* 1037,
        -a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a^6 - 1
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a^6 - 1
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, -1 *], [* 1037,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, -1 *], [* 1037,
        -a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a^6
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a^6
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a^6 + 1
    *], [* 1037,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a^6 + 1
    *], [* 1037,
        -a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556, 1 *], [* 1037,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a^3
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a^3
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556,
        a^6 - 1
    *], [* 1037,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, -1 *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, -1 *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556,
        -a^6
    *], [* 1037,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a^3 + 1
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a^3 + 1
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, 1 *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, 1 *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a^2
    *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a^2
    *], [* 1037,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a^2 - 1
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a^2 - 1
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, -1 *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, -1 *], [* 1037,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a^2
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a^2
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a^2 + 1
    *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a^2 + 1
    *], [* 1037,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^4
    *], [* 556, 1 *], [* 1037,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556,
        a^3
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556,
        a^3
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^4
    *], [* 556,
        a^6 - 1
    *], [* 1037,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556, -1 *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556, -1 *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^4
    *], [* 556,
        -a^6
    *], [* 1037,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556,
        -a^3 + 1
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556,
        -a^3 + 1
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556, 1 *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        a
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556,
        a^2 - 1
    *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, -1 *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, -1 *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2
    *], [* 556,
        -a^2
    *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a + 1
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556,
        -a + 1
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, 1 *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a
    *], [* 556, 1 *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^3
    *], [* 556,
        a^2
    *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^3
    *], [* 556,
        a^2
    *], [* 1037,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^3
    *], [* 556,
        a^2 - 1
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^3
    *], [* 556,
        a^2 - 1
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        -a^2
    *], [* 556, -1 *], [* 1037,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        -a^2
    *], [* 556, -1 *], [* 1037,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2 - 1
    *], [* 556, 1 *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a - 1
    *], [* 556,
        a
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a - 1
    *], [* 556,
        a
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2 - 1
    *], [* 556,
        a^2 - 1
    *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a - 1
    *], [* 556, -1 *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a - 1
    *], [* 556, -1 *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a^2 - 1
    *], [* 556,
        -a^2
    *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a - 1
    *], [* 556,
        -a + 1
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631,
        a - 1
    *], [* 556,
        -a + 1
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631, -1 *], [* 556, 1 *], [* 1037,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631, -1 *], [* 556,
        a
    *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631, -1 *], [* 556,
        a
    *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1295,
    [ [* 631, -1 *], [* 556,
        a^2 - 1
    *], [* 1037,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1295,
    [ [* 631, -1 *], [* 556, -1 *], [* 1037, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
20
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1295,
    [ [* 631, -1 *], [* 556, -1 *], [* 1037, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
13
;
C:=Rationals();
eps_on_gens:=
[* 1296,
    [ [* 325, 1 *], [* 1217, 1 *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325,
        a
    *], [* 1217, 1 *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1296,
    [ [* 325, -1 *], [* 1217, 1 *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, 1 *], [* 1217,
        a
    *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 - x^18 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325,
        a^27
    *], [* 1217,
        a^2
    *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, -1 *], [* 1217,
        a
    *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, 1 *], [* 1217,
        a^2
    *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 - x^18 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325,
        a^27
    *], [* 1217,
        a^4
    *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, -1 *], [* 1217,
        a^2
    *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, 1 *], [* 1217,
        a
    *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325,
        a^9
    *], [* 1217,
        a^2
    *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, -1 *], [* 1217,
        a
    *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, 1 *], [* 1217,
        a^2
    *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325,
        a^9
    *], [* 1217,
        a^4
    *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, -1 *], [* 1217,
        a^2
    *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, 1 *], [* 1217,
        a
    *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 6*x^6 + 23*x^4 + 18*x^2 + 49
);
eps_on_gens:=
[* 1296,
    [ [* 325,
        1/14*(-a^5 - 5*a^3 - 11*a)
    *], [* 1217,
        1/77*(-2*a^6 - 17*a^4 - 50*a^2 - 7)
    *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, -1 *], [* 1217,
        a
    *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 + 3*x^2 + 9
);
eps_on_gens:=
[* 1296,
    [ [* 325, 1 *], [* 1217,
        1/3*a^2
    *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325,
        a^3
    *], [* 1217,
        a^2 - 1
    *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325, -1 *], [* 1217,
        a - 1
    *], [* 1135, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1296,
    [ [* 325, 1 *], [* 1217, -1 *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1296,
    [ [* 325,
        a
    *], [* 1217, -1 *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1296,
    [ [* 325, -1 *], [* 1217, -1 *], [* 1135, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^432 - x^216 + 1
);
eps_on_gens:=
[* 1297,
    [ [* 10,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^72 + 1
);
eps_on_gens:=
[* 1297,
    [ [* 10,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1297,
    [ [* 10,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1297,
    [ [* 10,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1297,
    [ [* 10,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1298,
    [ [* 1123, 1 *], [* 827,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1298,
    [ [* 1123, 1 *], [* 827, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - 
    x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1298,
    [ [* 1123,
        a
    *], [* 827, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^112 + x^111 - x^107 - x^106 + x^102 + x^101 - x^97 - x^96 + x^92 + x^91 - x^87 - x^86 - x^83 + x^81 + x^78 - x^76 - x^73 + x^71 + 
    x^68 - x^66 - x^63 + x^61 + x^58 - x^56 + x^54 + x^51 - x^49 - x^46 + x^44 + x^41 - x^39 - x^36 + x^34 + x^31 - x^29 - x^26 - x^25 
    + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1298,
    [ [* 1123,
        a^5
    *], [* 827,
        a^58
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^112 + x^111 - x^107 - x^106 + x^102 + x^101 - x^97 - x^96 + x^92 + x^91 - x^87 - x^86 - x^83 + x^81 + x^78 - x^76 - x^73 + x^71 + 
    x^68 - x^66 - x^63 + x^61 + x^58 - x^56 + x^54 + x^51 - x^49 - x^46 + x^44 + x^41 - x^39 - x^36 + x^34 + x^31 - x^29 - x^26 - x^25 
    + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1298,
    [ [* 1123,
        a^10
    *], [* 827,
        a^29
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - 
    x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1298,
    [ [* 1123,
        a^2
    *], [* 827, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1298,
    [ [* 1123, -1 *], [* 827, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1298,
    [ [* 1123, -1 *], [* 827,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1299,
    [ [* 871, 1 *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^72 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 - x^36 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 - x^18 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a^2
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a^2
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        a
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^2 + 4
);
eps_on_gens:=
[* 1299,
    [ [* 871,
        -1/2*a^2
    *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1299,
    [ [* 871, -1 *], [* 434, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1300,
    [ [* 301, 1 *], [* 677, 1 *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301, 1 *], [* 677,
        a
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301, 1 *], [* 677,
        a
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301, 1 *], [* 677,
        a^2
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301, 1 *], [* 677,
        a
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1300,
    [ [* 301, 1 *], [* 677, -1 *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a
    *], [* 677, 1 *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5
    *], [* 677,
        a^3
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5
    *], [* 677,
        a^6
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5
    *], [* 677,
        a^9
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5
    *], [* 677,
        a^12
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a
    *], [* 677,
        a^3
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a
    *], [* 677, -1 *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a
    *], [* 677,
        -a^3
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 3*x^2 + 9
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        1/3*(a^2 + 3)
    *], [* 677, 1 *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^10
    *], [* 677,
        a^3
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5
    *], [* 677,
        a^3
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5
    *], [* 677,
        a^6
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^2
    *], [* 677,
        a^3
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a
    *], [* 677, -1 *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a
    *], [* 677, 1 *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5
    *], [* 677,
        a
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5
    *], [* 677,
        a^2
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5
    *], [* 677,
        a^3
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5
    *], [* 677,
        a^4
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a
    *], [* 677,
        a
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a
    *], [* 677, -1 *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a
    *], [* 677,
        -a
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a - 1
    *], [* 677, 1 *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^10 - 1
    *], [* 677,
        a^3
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5 - 1
    *], [* 677,
        a^3
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^5 - 1
    *], [* 677,
        a^6
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^2 - 1
    *], [* 677,
        a^3
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301,
        a^2 - 1
    *], [* 677, -1 *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1300,
    [ [* 301, -1 *], [* 677, 1 *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301, -1 *], [* 677,
        a
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301, -1 *], [* 677,
        a
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301, -1 *], [* 677,
        a^2
    *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1300,
    [ [* 301, -1 *], [* 677,
        a
    *], [* 651, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1300,
    [ [* 301, -1 *], [* 677, -1 *], [* 651, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
