Qx<x>:=PolynomialRing(Rationals());
dimensions_list:=[**];
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:=
[* 601,
    [ [* 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:=
[* 601,
    [ [* 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:=
[* 601,
    [ [* 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:=
[* 601,
    [ [* 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:=
[* 601,
    [ [* 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:=
[* 601,
    [ [* 7,
        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:=
[* 602,
    [ [* 519,
        1
    *], [* 87,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 602,
    [ [* 519, 1 *], [* 87, -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:=
[* 602,
    [ [* 519,
        a
    *], [* 87,
        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:=
[* 602,
    [ [* 519,
        a
    *], [* 87,
        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:=
[* 602,
    [ [* 519,
        a
    *], [* 87,
        -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:=
[* 602,
    [ [* 519,
        a^2
    *], [* 87,
        a^7
    *] ]
*]
;
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^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 602,
    [ [* 519,
        a^2
    *], [* 87,
        -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:=
[* 602,
    [ [* 519,
        a^2
    *], [* 87,
        -a^7 + 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:=
[* 602,
    [ [* 519,
        a
    *], [* 87,
        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:=
[* 602,
    [ [* 519,
        a^3
    *], [* 87,
        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:=
[* 602,
    [ [* 519,
        a^6
    *], [* 87,
        a^7
    *] ]
*]
;
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:=
[* 602,
    [ [* 519,
        a^2
    *], [* 87,
        -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:=
[* 602,
    [ [* 519,
        a
    *], [* 87,
        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:=
[* 602,
    [ [* 519,
        a
    *], [* 87,
        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:=
[* 602,
    [ [* 519,
        a
    *], [* 87,
        -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:=
[* 602,
    [ [* 519,
        a - 1
    *], [* 87,
        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:=
[* 602,
    [ [* 519,
        a - 1
    *], [* 87,
        -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:=
[* 602,
    [ [* 519,
        a - 1
    *], [* 87,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 602,
    [ [* 519, -1 *], [* 87, 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:=
[* 602,
    [ [* 519,
        -1
    *], [* 87,
        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:=
[* 603,
    [ [* 136,
        1
    *], [* 470,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 603,
    [ [* 136, 1 *], [* 470, -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:=
[* 603,
    [ [* 136,
        a
    *], [* 470,
        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:=
[* 603,
    [ [* 136,
        a
    *], [* 470,
        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:=
[* 603,
    [ [* 136,
        a
    *], [* 470,
        -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:=
[* 603,
    [ [* 136,
        a^2
    *], [* 470,
        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:=
[* 603,
    [ [* 136,
        a^2
    *], [* 470,
        -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:=
[* 603,
    [ [* 136,
        a^2
    *], [* 470,
        -a^11 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 603,
    [ [* 136,
        a
    *], [* 470,
        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:=
[* 603,
    [ [* 136,
        a^3
    *], [* 470,
        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:=
[* 603,
    [ [* 136,
        a^6
    *], [* 470,
        a^11
    *] ]
*]
;
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:=
[* 603,
    [ [* 136,
        a^2
    *], [* 470,
        -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:=
[* 603,
    [ [* 136,
        a
    *], [* 470,
        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:=
[* 603,
    [ [* 136,
        a
    *], [* 470,
        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:=
[* 603,
    [ [* 136,
        a
    *], [* 470,
        -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:=
[* 603,
    [ [* 136,
        a - 1
    *], [* 470,
        a
    *] ]
*]
;
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:=
[* 603,
    [ [* 136,
        a - 1
    *], [* 470,
        -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:=
[* 603,
    [ [* 136,
        a - 1
    *], [* 470,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 603,
    [ [* 136, -1 *], [* 470, 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:=
[* 603,
    [ [* 136,
        -1
    *], [* 470,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 604,
    [ [* 157, 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:=
[* 604,
    [ [* 157,
        a
    *], [* 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:=
[* 604,
    [ [* 157,
        a^2
    *], [* 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:=
[* 604,
    [ [* 157,
        a
    *], [* 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:=
[* 604,
    [ [* 157,
        a
    *], [* 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:=
[* 604,
    [ [* 157,
        a^2
    *], [* 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:=
[* 604,
    [ [* 157,
        a^2
    *], [* 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:=
[* 604,
    [ [* 157,
        a
    *], [* 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:=
[* 604,
    [ [* 157,
        a
    *], [* 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:=
[* 604,
    [ [* 157,
        a^2
    *], [* 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:=
[* 604,
    [ [* 157,
        a - 1
    *], [* 303,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 604,
    [ [* 157, -1 *], [* 303, 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:=
[* 605,
    [ [* 122,
        a
    *], [* 486,
        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:=
[* 605,
    [ [* 122,
        1
    *], [* 486,
        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:=
[* 605,
    [ [* 122,
        -1
    *], [* 486,
        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:=
[* 605,
    [ [* 122,
        a^55
    *], [* 486,
        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:=
[* 605,
    [ [* 122,
        1
    *], [* 486,
        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:=
[* 605,
    [ [* 122,
        -1
    *], [* 486,
        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:=
[* 605,
    [ [* 122,
        a^11
    *], [* 486,
        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:=
[* 605,
    [ [* 122,
        1
    *], [* 486,
        a
    *] ]
*]
;
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:=
[* 605,
    [ [* 122,
        -1
    *], [* 486,
        a
    *] ]
*]
;
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:=
[* 605,
    [ [* 122,
        a^5
    *], [* 486,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 605,
    [ [* 122, 1 *], [* 486, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 605,
    [ [* 122, -1 *], [* 486, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 606,
    [ [* 103, 1 *], [* 203, -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:=
[* 606,
    [ [* 103,
        a
    *], [* 203,
        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:=
[* 606,
    [ [* 103,
        a
    *], [* 203,
        -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:=
[* 606,
    [ [* 103,
        a^2
    *], [* 203,
        -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:=
[* 606,
    [ [* 103,
        a
    *], [* 203,
        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:=
[* 606,
    [ [* 103,
        a
    *], [* 203,
        -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:=
[* 606,
    [ [* 103,
        a^2
    *], [* 203,
        -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:=
[* 606,
    [ [* 103,
        a
    *], [* 203,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 606,
    [ [* 103, -1 *], [* 203, -1 *] ]
*]
;
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:=
[* 607,
    [ [* 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:=
[* 607,
    [ [* 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:=
[* 607,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 607,
    [ [* 3,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 608,
    [ [* 229, 1 *], [* 97, 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:=
[* 608,
    [ [* 229,
        a
    *], [* 97,
        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:=
[* 608,
    [ [* 229,
        a
    *], [* 97,
        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:=
[* 608,
    [ [* 229, -1 *], [* 97, 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:=
[* 608,
    [ [* 229,
        1
    *], [* 97,
        a
    *], [* 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:=
[* 608,
    [ [* 229,
        a^9
    *], [* 97,
        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:=
[* 608,
    [ [* 229,
        a^9
    *], [* 97,
        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^6 - x^3 + 1
);
eps_on_gens:=
[* 608,
    [ [* 229,
        -1
    *], [* 97,
        a
    *], [* 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:=
[* 608,
    [ [* 229,
        1
    *], [* 97,
        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^24 - x^12 + 1
);
eps_on_gens:=
[* 608,
    [ [* 229,
        a^9
    *], [* 97,
        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:=
[* 608,
    [ [* 229,
        a^9
    *], [* 97,
        a^4
    *], [* 191,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 608,
    [ [* 229,
        -1
    *], [* 97,
        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:=
[* 608,
    [ [* 229,
        1
    *], [* 97,
        a
    *], [* 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:=
[* 608,
    [ [* 229,
        a^3
    *], [* 97,
        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:=
[* 608,
    [ [* 229,
        a^3
    *], [* 97,
        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:=
[* 608,
    [ [* 229,
        -1
    *], [* 97,
        a
    *], [* 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:=
[* 608,
    [ [* 229,
        1
    *], [* 97,
        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^8 - x^4 + 1
);
eps_on_gens:=
[* 608,
    [ [* 229,
        a^3
    *], [* 97,
        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:=
[* 608,
    [ [* 229,
        a^3
    *], [* 97,
        a^2 - 1
    *], [* 191,
        -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:=
[* 608,
    [ [* 229,
        -1
    *], [* 97,
        a - 1
    *], [* 191,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 608,
    [ [* 229, 1 *], [* 97, -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:=
[* 608,
    [ [* 229,
        a
    *], [* 97,
        -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:=
[* 608,
    [ [* 229,
        a
    *], [* 97,
        -1
    *], [* 191,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 608,
    [ [* 229, -1 *], [* 97, -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:=
[* 609,
    [ [* 262, 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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262, -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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        -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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        a^7 - 1
    *], [* 379,
        a^3
    *], [* 407,
        -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:=
[* 609,
    [ [* 262,
        -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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        a^7 - 1
    *], [* 379,
        a^6
    *], [* 407,
        -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:=
[* 609,
    [ [* 262,
        -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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        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:=
[* 609,
    [ [* 262,
        -1
    *], [* 379,
        a
    *], [* 407,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 609,
    [ [* 262, 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:=
[* 609,
    [ [* 262,
        a
    *], [* 379,
        -1
    *], [* 407,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 + 3*x^4 - 2*x^3 + 9*x^2 - 3*x + 1
);
eps_on_gens:=
[* 609,
    [ [* 262,
        1/3*(a^5 + 3*a^3 - a^2 + 9*a - 3)
    *], [* 379,
        -1
    *], [* 407,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 609,
    [ [* 262, -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 + 1
);
eps_on_gens:=
[* 610,
    [ [* 551,
        1
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        a
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        a
    *], [* 367,
        -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:=
[* 610,
    [ [* 551,
        a^2
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        a
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        a
    *], [* 367,
        -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:=
[* 610,
    [ [* 551,
        a^4
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        a
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        a
    *], [* 367,
        -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:=
[* 610,
    [ [* 551,
        a^2
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        a^2
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        a^4
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        a
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        a
    *], [* 367,
        -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:=
[* 610,
    [ [* 551,
        a^2 - 1
    *], [* 367,
        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:=
[* 610,
    [ [* 551,
        -1
    *], [* 367,
        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:=
[* 611,
    [ [* 287,
        1
    *], [* 236,
        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:=
[* 611,
    [ [* 287,
        1
    *], [* 236,
        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:=
[* 611,
    [ [* 287,
        a
    *], [* 236,
        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:=
[* 611,
    [ [* 287,
        a^3
    *], [* 236,
        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:=
[* 611,
    [ [* 287,
        a^3
    *], [* 236,
        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:=
[* 611,
    [ [* 287,
        a
    *], [* 236,
        -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:=
[* 611,
    [ [* 287,
        a^12
    *], [* 236,
        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:=
[* 611,
    [ [* 287,
        a^4
    *], [* 236,
        a^23
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 611,
    [ [* 287, -1 *], [* 236, 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:=
[* 611,
    [ [* 287,
        -1
    *], [* 236,
        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:=
[* 611,
    [ [* 287,
        -1
    *], [* 236,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 611,
    [ [* 287,
        -1
    *], [* 236,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 612,
    [ [* 137, 1 *], [* 37, 1 *], [* 307, -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:=
[* 612,
    [ [* 137,
        a
    *], [* 37,
        1
    *], [* 307,
        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:=
[* 612,
    [ [* 137,
        a - 1
    *], [* 37,
        1
    *], [* 307,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 612,
    [ [* 137, -1 *], [* 37, 1 *], [* 307, 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:=
[* 612,
    [ [* 137,
        1
    *], [* 37,
        a
    *], [* 307,
        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:=
[* 612,
    [ [* 137,
        a^8
    *], [* 37,
        a^3
    *], [* 307,
        -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:=
[* 612,
    [ [* 137,
        a^8 - 1
    *], [* 37,
        a^3
    *], [* 307,
        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:=
[* 612,
    [ [* 137,
        -1
    *], [* 37,
        a
    *], [* 307,
        -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:=
[* 612,
    [ [* 137,
        1
    *], [* 37,
        a
    *], [* 307,
        -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:=
[* 612,
    [ [* 137,
        a^4
    *], [* 37,
        a^3
    *], [* 307,
        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:=
[* 612,
    [ [* 137,
        a^4 - 1
    *], [* 37,
        a^3
    *], [* 307,
        -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:=
[* 612,
    [ [* 137,
        -1
    *], [* 37,
        a
    *], [* 307,
        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:=
[* 612,
    [ [* 137,
        1
    *], [* 37,
        a
    *], [* 307,
        -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:=
[* 612,
    [ [* 137,
        a^2
    *], [* 37,
        a^3
    *], [* 307,
        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:=
[* 612,
    [ [* 137,
        a^2 - 1
    *], [* 37,
        a^3
    *], [* 307,
        -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:=
[* 612,
    [ [* 137,
        -1
    *], [* 37,
        a^2
    *], [* 307,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 612,
    [ [* 137, 1 *], [* 37, -1 *], [* 307, -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:=
[* 612,
    [ [* 137,
        a
    *], [* 37,
        -1
    *], [* 307,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 3*x^2 + 9
);
eps_on_gens:=
[* 612,
    [ [* 137,
        1/3*(-a^2 - 3)
    *], [* 37,
        -1
    *], [* 307,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 612,
    [ [* 137, -1 *], [* 37, -1 *], [* 307, 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:=
[* 613,
    [ [* 2,
        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:=
[* 613,
    [ [* 2,
        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:=
[* 613,
    [ [* 2,
        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:=
[* 613,
    [ [* 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:=
[* 613,
    [ [* 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:=
[* 613,
    [ [* 2,
        a
    *] ]
*]
;
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:=
[* 614,
    [ [* 5,
        a
    *] ]
*]
;
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:=
[* 614,
    [ [* 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:=
[* 614,
    [ [* 5,
        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:=
[* 614,
    [ [* 5,
        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:=
[* 614,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 614,
    [ [* 5, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 615,
    [ [* 211, 1 *], [* 247, 1 *], [* 206, -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:=
[* 615,
    [ [* 211,
        1
    *], [* 247,
        a
    *], [* 206,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 615,
    [ [* 211, 1 *], [* 247, -1 *], [* 206, -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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        1
    *], [* 206,
        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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        a^10
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        -1
    *], [* 206,
        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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        -a^10
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        1
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        a^5
    *], [* 206,
        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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        -1
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        -a^5
    *], [* 206,
        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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        1
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a^2
    *], [* 247,
        a^5
    *], [* 206,
        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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        -1
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        1
    *], [* 206,
        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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        a^2
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        -1
    *], [* 206,
        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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        -a^2
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a^2
    *], [* 247,
        1
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a^4
    *], [* 247,
        a^5
    *], [* 206,
        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:=
[* 615,
    [ [* 211,
        a^2
    *], [* 247,
        -1
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        1
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        a
    *], [* 206,
        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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        -1
    *], [* 206,
        -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:=
[* 615,
    [ [* 211,
        a
    *], [* 247,
        -a
    *], [* 206,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 615,
    [ [* 211, -1 *], [* 247, 1 *], [* 206, -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:=
[* 615,
    [ [* 211,
        -1
    *], [* 247,
        a
    *], [* 206,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 615,
    [ [* 211,
        -1
    *], [* 247,
        -1
    *], [* 206,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 616,
    [ [* 353, 1 *], [* 57, 1 *], [* 463, -1 *], [* 309, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 616,
    [ [* 353, 1 *], [* 57, 1 *], [* 463, -1 *], [* 309, -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:=
[* 616,
    [ [* 353,
        a
    *], [* 57,
        1
    *], [* 463,
        1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        a
    *], [* 57,
        1
    *], [* 463,
        1
    *], [* 309,
        -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:=
[* 616,
    [ [* 353,
        a - 1
    *], [* 57,
        1
    *], [* 463,
        -1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        a - 1
    *], [* 57,
        1
    *], [* 463,
        -1
    *], [* 309,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 616,
    [ [* 353, -1 *], [* 57, 1 *], [* 463, 1 *], [* 309, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 616,
    [ [* 353, -1 *], [* 57, 1 *], [* 463, 1 *], [* 309, -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:=
[* 616,
    [ [* 353,
        1
    *], [* 57,
        a
    *], [* 463,
        1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        1
    *], [* 57,
        a
    *], [* 463,
        1
    *], [* 309,
        -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:=
[* 616,
    [ [* 353,
        a^5
    *], [* 57,
        a^3
    *], [* 463,
        -1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        a^5
    *], [* 57,
        a^3
    *], [* 463,
        -1
    *], [* 309,
        -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:=
[* 616,
    [ [* 353,
        a^5 - 1
    *], [* 57,
        a^3
    *], [* 463,
        1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        a^5 - 1
    *], [* 57,
        a^3
    *], [* 463,
        1
    *], [* 309,
        -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:=
[* 616,
    [ [* 353,
        -1
    *], [* 57,
        a
    *], [* 463,
        -1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        -1
    *], [* 57,
        a
    *], [* 463,
        -1
    *], [* 309,
        -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:=
[* 616,
    [ [* 353,
        1
    *], [* 57,
        a^2
    *], [* 463,
        -1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        1
    *], [* 57,
        a^2
    *], [* 463,
        -1
    *], [* 309,
        -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:=
[* 616,
    [ [* 353,
        a^5
    *], [* 57,
        a^6
    *], [* 463,
        1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        a^5
    *], [* 57,
        a^6
    *], [* 463,
        1
    *], [* 309,
        -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:=
[* 616,
    [ [* 353,
        a^5 - 1
    *], [* 57,
        a^6
    *], [* 463,
        -1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        a^5 - 1
    *], [* 57,
        a^6
    *], [* 463,
        -1
    *], [* 309,
        -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:=
[* 616,
    [ [* 353,
        -1
    *], [* 57,
        a^2
    *], [* 463,
        1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        -1
    *], [* 57,
        a^2
    *], [* 463,
        1
    *], [* 309,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 616,
    [ [* 353, 1 *], [* 57, -1 *], [* 463, 1 *], [* 309, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 616,
    [ [* 353, 1 *], [* 57, -1 *], [* 463, 1 *], [* 309, -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:=
[* 616,
    [ [* 353,
        a
    *], [* 57,
        -1
    *], [* 463,
        -1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        a
    *], [* 57,
        -1
    *], [* 463,
        -1
    *], [* 309,
        -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:=
[* 616,
    [ [* 353,
        a - 1
    *], [* 57,
        -1
    *], [* 463,
        1
    *], [* 309,
        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:=
[* 616,
    [ [* 353,
        a - 1
    *], [* 57,
        -1
    *], [* 463,
        1
    *], [* 309,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 616,
    [ [* 353, -1 *], [* 57, -1 *], [* 463, -1 *], [* 309, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 616,
    [ [* 353, -1 *], [* 57, -1 *], [* 463, -1 *], [* 309, -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:=
[* 617,
    [ [* 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:=
[* 617,
    [ [* 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:=
[* 617,
    [ [* 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:=
[* 617,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 618,
    [ [* 211, 1 *], [* 413, -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:=
[* 618,
    [ [* 211,
        a
    *], [* 413,
        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:=
[* 618,
    [ [* 211,
        a^2
    *], [* 413,
        -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:=
[* 618,
    [ [* 211,
        a
    *], [* 413,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
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:=
[* 618,
    [ [* 211,
        a^2
    *], [* 413,
        -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:=
[* 618,
    [ [* 211,
        a
    *], [* 413,
        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:=
[* 618,
    [ [* 211,
        a - 1
    *], [* 413,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 618,
    [ [* 211, -1 *], [* 413, 1 *] ]
*]
;
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:=
[* 619,
    [ [* 2,
        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:=
[* 619,
    [ [* 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:=
[* 619,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 619,
    [ [* 2,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 620,
    [ [* 497, 1 *], [* 561, 1 *], [* 311, -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:=
[* 620,
    [ [* 497,
        a
    *], [* 561,
        1
    *], [* 311,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 620,
    [ [* 497, -1 *], [* 561, 1 *], [* 311, -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:=
[* 620,
    [ [* 497,
        1
    *], [* 561,
        a
    *], [* 311,
        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:=
[* 620,
    [ [* 497,
        a^15
    *], [* 561,
        a^2
    *], [* 311,
        -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:=
[* 620,
    [ [* 497,
        -1
    *], [* 561,
        a
    *], [* 311,
        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:=
[* 620,
    [ [* 497,
        1
    *], [* 561,
        a^2
    *], [* 311,
        -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:=
[* 620,
    [ [* 497,
        a^15
    *], [* 561,
        a^4
    *], [* 311,
        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:=
[* 620,
    [ [* 497,
        -1
    *], [* 561,
        a^2
    *], [* 311,
        -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:=
[* 620,
    [ [* 497,
        1
    *], [* 561,
        a
    *], [* 311,
        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:=
[* 620,
    [ [* 497,
        a^5
    *], [* 561,
        a^2
    *], [* 311,
        -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:=
[* 620,
    [ [* 497,
        -1
    *], [* 561,
        a
    *], [* 311,
        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:=
[* 620,
    [ [* 497,
        1
    *], [* 561,
        a
    *], [* 311,
        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:=
[* 620,
    [ [* 497,
        a^3
    *], [* 561,
        a^2
    *], [* 311,
        -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:=
[* 620,
    [ [* 497,
        -1
    *], [* 561,
        a
    *], [* 311,
        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:=
[* 620,
    [ [* 497,
        1
    *], [* 561,
        a^2
    *], [* 311,
        -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:=
[* 620,
    [ [* 497,
        a^5
    *], [* 561,
        a^4
    *], [* 311,
        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:=
[* 620,
    [ [* 497,
        -1
    *], [* 561,
        a^2
    *], [* 311,
        -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:=
[* 620,
    [ [* 497,
        1
    *], [* 561,
        a - 1
    *], [* 311,
        -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:=
[* 620,
    [ [* 497,
        a^3
    *], [* 561,
        a^2 - 1
    *], [* 311,
        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:=
[* 620,
    [ [* 497,
        -1
    *], [* 561,
        a - 1
    *], [* 311,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 620,
    [ [* 497, 1 *], [* 561, -1 *], [* 311, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 4*x^2 + 16
);
eps_on_gens:=
[* 620,
    [ [* 497,
        1/8*a^3
    *], [* 561,
        -1
    *], [* 311,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 620,
    [ [* 497,
        -1
    *], [* 561,
        -1
    *], [* 311,
        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:=
[* 621,
    [ [* 461,
        a
    *], [* 28,
        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:=
[* 621,
    [ [* 461,
        a
    *], [* 28,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 621,
    [ [* 461, -1 *], [* 28, 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:=
[* 621,
    [ [* 461,
        1
    *], [* 28,
        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:=
[* 621,
    [ [* 461,
        a^22
    *], [* 28,
        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:=
[* 621,
    [ [* 461,
        a^11 - 1
    *], [* 28,
        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:=
[* 621,
    [ [* 461,
        a^11
    *], [* 28,
        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:=
[* 621,
    [ [* 461,
        a^11
    *], [* 28,
        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:=
[* 621,
    [ [* 461,
        -1
    *], [* 28,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 621,
    [ [* 461, 1 *], [* 28, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 + 9*x^13 + 30*x^12 - 54*x^11 + 9*x^10 + 2*x^9 + 81*x^8 - 270*x^7 + 657*x^6 
    - 648*x^5 + 468*x^4 - 213*x^3 + 27*x^2 + 9*x + 1
);
eps_on_gens:=
[* 621,
    [ [* 461,
        1/1060395329016097677*(-116109392263201845*a^17 + 18714366523491249*a^16
            + 5224150385025880*a^15 + 9058233469745331*a^14 + 
            7004118421694052*a^13 - 1042352485214846212*a^12 - 
            3314700689383922715*a^11 + 6877808627758619073*a^10 - 
            1818327000387135407*a^9 - 9291438647824122*a^8 - 
            9569724183253228128*a^7 + 32663507666109535294*a^6 - 
            80970078611080269225*a^5 + 86869733097734864892*a^4 - 
            64865259025691054269*a^3 + 34861675003883813781*a^2 - 
            6513614850326049075*a - 410391618607557092)
    *], [* 28,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
6
;
C<a>:=NumberField(
x^6 + 3*x^4 - 2*x^3 + 9*x^2 - 3*x + 1
);
eps_on_gens:=
[* 621,
    [ [* 461,
        1/3*(a^5 + 3*a^3 - a^2 + 9*a - 3)
    *], [* 28,
        -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:=
[* 622,
    [ [* 17,
        a
    *] ]
*]
;
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:=
[* 622,
    [ [* 17,
        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:=
[* 622,
    [ [* 17,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 622,
    [ [* 17, -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:=
[* 623,
    [ [* 535,
        a
    *], [* 92,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 623,
    [ [* 535, -1 *], [* 92, 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:=
[* 623,
    [ [* 535,
        1
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        a^44 - 1
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        a^22
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        -1
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        a^11
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        -1
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        a^11
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        -1
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        1
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        a^4 - 1
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        a^2
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        -1
    *], [* 92,
        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:=
[* 623,
    [ [* 535,
        a
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 623,
    [ [* 535,
        -1
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 624,
    [ [* 145, 1 *], [* 79, -1 *], [* 469, 1 *], [* 209, 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:=
[* 624,
    [ [* 145,
        1
    *], [* 79,
        -1
    *], [* 469,
        a
    *], [* 209,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 624,
    [ [* 145, 1 *], [* 79, -1 *], [* 469, -1 *], [* 209, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 624,
    [ [* 145, 1 *], [* 79, 1 *], [* 469, 1 *], [* 209, -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:=
[* 624,
    [ [* 145,
        1
    *], [* 79,
        1
    *], [* 469,
        a
    *], [* 209,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 624,
    [ [* 145, 1 *], [* 79, 1 *], [* 469, -1 *], [* 209, -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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        1
    *], [* 469,
        1
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        1
    *], [* 469,
        a^3
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        1
    *], [* 469,
        -1
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        1
    *], [* 469,
        -a^3
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        -1
    *], [* 469,
        1
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        -1
    *], [* 469,
        a^3
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        -1
    *], [* 469,
        -1
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        -1
    *], [* 469,
        -a^3
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        -1
    *], [* 469,
        1
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a^2
    *], [* 79,
        -1
    *], [* 469,
        a^3
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        -1
    *], [* 469,
        -1
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        1
    *], [* 469,
        1
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a^2
    *], [* 79,
        1
    *], [* 469,
        a^3
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        1
    *], [* 469,
        -1
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        1
    *], [* 469,
        1
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        1
    *], [* 469,
        a
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        1
    *], [* 469,
        -1
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        1
    *], [* 469,
        -a
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        -1
    *], [* 469,
        1
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        -1
    *], [* 469,
        a
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        -1
    *], [* 469,
        -1
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a
    *], [* 79,
        -1
    *], [* 469,
        -a
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a - 1
    *], [* 79,
        -1
    *], [* 469,
        1
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a^2 - 1
    *], [* 79,
        -1
    *], [* 469,
        a^3
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a - 1
    *], [* 79,
        -1
    *], [* 469,
        -1
    *], [* 209,
        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:=
[* 624,
    [ [* 145,
        a - 1
    *], [* 79,
        1
    *], [* 469,
        1
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a^2 - 1
    *], [* 79,
        1
    *], [* 469,
        a^3
    *], [* 209,
        -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:=
[* 624,
    [ [* 145,
        a - 1
    *], [* 79,
        1
    *], [* 469,
        -1
    *], [* 209,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 624,
    [ [* 145, -1 *], [* 79, -1 *], [* 469, 1 *], [* 209, 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:=
[* 624,
    [ [* 145,
        -1
    *], [* 79,
        -1
    *], [* 469,
        a
    *], [* 209,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 624,
    [ [* 145, -1 *], [* 79, -1 *], [* 469, -1 *], [* 209, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
5
;
C:=Rationals();
eps_on_gens:=
[* 624,
    [ [* 145, -1 *], [* 79, 1 *], [* 469, 1 *], [* 209, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 12*x^4 + 4
);
eps_on_gens:=
[* 624,
    [ [* 145,
        -1
    *], [* 79,
        1
    *], [* 469,
        1/8*(a^6 + 14*a^2)
    *], [* 209,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 624,
    [ [* 145, -1 *], [* 79, 1 *], [* 469, -1 *], [* 209, -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:=
[* 625,
    [ [* 2,
        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:=
[* 625,
    [ [* 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^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 625,
    [ [* 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:=
[* 625,
    [ [* 2,
        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^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:=
[* 626,
    [ [* 323,
        a
    *] ]
*]
;
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:=
[* 626,
    [ [* 323,
        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:=
[* 626,
    [ [* 323,
        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:=
[* 626,
    [ [* 323,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 627,
    [ [* 343, 1 *], [* 496, 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:=
[* 627,
    [ [* 343,
        a
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        a^2
    *], [* 496,
        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:=
[* 627,
    [ [* 343, -1 *], [* 496, 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:=
[* 627,
    [ [* 343,
        1
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        a^9
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        a^18
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        -1
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        1
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        a^9
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        a^18
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        -1
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        1
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        a^3
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        a^6
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        -1
    *], [* 496,
        a
    *], [* 419,
        -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:=
[* 627,
    [ [* 343,
        1
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        a^3
    *], [* 496,
        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:=
[* 627,
    [ [* 343,
        a^6
    *], [* 496,
        a^5 - 1
    *], [* 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:=
[* 627,
    [ [* 343,
        -1
    *], [* 496,
        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:=
[* 627,
    [ [* 343, 1 *], [* 496, -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:=
[* 627,
    [ [* 343,
        a
    *], [* 496,
        -1
    *], [* 419,
        -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:=
[* 627,
    [ [* 343,
        a^2
    *], [* 496,
        -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:=
[* 627,
    [ [* 343, -1 *], [* 496, -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:=
[* 628,
    [ [* 5, 1 *], [* 315, -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:=
[* 628,
    [ [* 5,
        a
    *], [* 315,
        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:=
[* 628,
    [ [* 5,
        a
    *], [* 315,
        -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:=
[* 628,
    [ [* 5,
        a
    *], [* 315,
        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:=
[* 628,
    [ [* 5,
        a^2
    *], [* 315,
        -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:=
[* 628,
    [ [* 5,
        a
    *], [* 315,
        -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:=
[* 628,
    [ [* 5,
        a^2
    *], [* 315,
        -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:=
[* 628,
    [ [* 5,
        a
    *], [* 315,
        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:=
[* 628,
    [ [* 5,
        a
    *], [* 315,
        -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:=
[* 628,
    [ [* 5,
        a
    *], [* 315,
        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:=
[* 628,
    [ [* 5,
        a - 1
    *], [* 315,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 628,
    [ [* 5, -1 *], [* 315, -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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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:=
[* 629,
    [ [* 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^2 - x + 1
);
eps_on_gens:=
[* 630,
    [ [* 127,
        1
    *], [* 281,
        a
    *], [* 451,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 630,
    [ [* 127, 1 *], [* 281, -1 *], [* 451, 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:=
[* 630,
    [ [* 127,
        a
    *], [* 281,
        1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        a^3
    *], [* 281,
        a^2 - 1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        -1
    *], [* 281,
        a
    *], [* 451,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 630,
    [ [* 127, -1 *], [* 281, -1 *], [* 451, 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:=
[* 630,
    [ [* 127,
        1
    *], [* 281,
        1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        1
    *], [* 281,
        a - 1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        1
    *], [* 281,
        -a
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        a^3
    *], [* 281,
        a^2
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        a^3
    *], [* 281,
        -1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        a^3
    *], [* 281,
        -a^2 + 1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        -1
    *], [* 281,
        1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        -1
    *], [* 281,
        a - 1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        -1
    *], [* 281,
        -a
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        1
    *], [* 281,
        a
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        1
    *], [* 281,
        -1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        1
    *], [* 281,
        -a + 1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        a^3
    *], [* 281,
        1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        a^3
    *], [* 281,
        a^2 - 1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        a^3
    *], [* 281,
        -a^2
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        -1
    *], [* 281,
        a
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        -1
    *], [* 281,
        -1
    *], [* 451,
        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:=
[* 630,
    [ [* 127,
        -1
    *], [* 281,
        -a + 1
    *], [* 451,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 630,
    [ [* 127, 1 *], [* 281, 1 *], [* 451, -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:=
[* 630,
    [ [* 127,
        1
    *], [* 281,
        a - 1
    *], [* 451,
        -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:=
[* 630,
    [ [* 127,
        a^3
    *], [* 281,
        a^2
    *], [* 451,
        -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:=
[* 630,
    [ [* 127,
        a
    *], [* 281,
        -1
    *], [* 451,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 630,
    [ [* 127, -1 *], [* 281, 1 *], [* 451, -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:=
[* 630,
    [ [* 127,
        -1
    *], [* 281,
        a - 1
    *], [* 451,
        -1
    *] ]
*]
;
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:=
[* 631,
    [ [* 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:=
[* 631,
    [ [* 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:=
[* 631,
    [ [* 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:=
[* 631,
    [ [* 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:=
[* 631,
    [ [* 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:=
[* 631,
    [ [* 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:=
[* 631,
    [ [* 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:=
[* 631,
    [ [* 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:=
[* 631,
    [ [* 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:=
[* 631,
    [ [* 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:=
[* 631,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 631,
    [ [* 3,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 632,
    [ [* 161, 1 *], [* 317, 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:=
[* 632,
    [ [* 161, 1 *], [* 317, -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:=
[* 632,
    [ [* 161,
        a
    *], [* 317,
        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:=
[* 632,
    [ [* 161,
        a
    *], [* 317,
        -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:=
[* 632,
    [ [* 161,
        a^2
    *], [* 317,
        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:=
[* 632,
    [ [* 161,
        a^2
    *], [* 317,
        -1
    *], [* 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:=
[* 632,
    [ [* 161,
        a
    *], [* 317,
        1
    *], [* 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:=
[* 632,
    [ [* 161,
        a
    *], [* 317,
        -1
    *], [* 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:=
[* 632,
    [ [* 161,
        a^2
    *], [* 317,
        1
    *], [* 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:=
[* 632,
    [ [* 161,
        a^2
    *], [* 317,
        -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:=
[* 632,
    [ [* 161,
        a
    *], [* 317,
        1
    *], [* 159,
        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:=
[* 632,
    [ [* 161,
        a
    *], [* 317,
        -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:=
[* 632,
    [ [* 161,
        a - 1
    *], [* 317,
        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:=
[* 632,
    [ [* 161,
        a - 1
    *], [* 317,
        -1
    *], [* 159,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 632,
    [ [* 161, -1 *], [* 317, 1 *], [* 159, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 632,
    [ [* 161,
        -1
    *], [* 317,
        -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:=
[* 633,
    [ [* 424, 1 *], [* 212, -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:=
[* 633,
    [ [* 424,
        a
    *], [* 212,
        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:=
[* 633,
    [ [* 424,
        a^2
    *], [* 212,
        -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:=
[* 633,
    [ [* 424,
        a
    *], [* 212,
        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:=
[* 633,
    [ [* 424,
        a
    *], [* 212,
        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:=
[* 633,
    [ [* 424,
        a^2
    *], [* 212,
        -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:=
[* 633,
    [ [* 424,
        a
    *], [* 212,
        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:=
[* 633,
    [ [* 424,
        a^2
    *], [* 212,
        -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:=
[* 633,
    [ [* 424,
        a^2
    *], [* 212,
        -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:=
[* 633,
    [ [* 424,
        a
    *], [* 212,
        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:=
[* 633,
    [ [* 424,
        a
    *], [* 212,
        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:=
[* 633,
    [ [* 424,
        a^2
    *], [* 212,
        -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:=
[* 633,
    [ [* 424,
        a
    *], [* 212,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^6 + 6*x^4 - 4*x^2 + 1
);
eps_on_gens:=
[* 633,
    [ [* 424,
        1/11*(4*a^6 + 3*a^4 + 26*a^2 - 17)
    *], [* 212,
        -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:=
[* 633,
    [ [* 424,
        a - 1
    *], [* 212,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 633,
    [ [* 424, -1 *], [* 212, 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:=
[* 634,
    [ [* 319,
        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:=
[* 634,
    [ [* 319,
        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:=
[* 635,
    [ [* 382,
        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:=
[* 635,
    [ [* 382,
        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:=
[* 635,
    [ [* 382,
        -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:=
[* 635,
    [ [* 382,
        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:=
[* 635,
    [ [* 382,
        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:=
[* 635,
    [ [* 382,
        -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:=
[* 635,
    [ [* 382,
        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:=
[* 635,
    [ [* 382,
        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:=
[* 635,
    [ [* 382,
        -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:=
[* 635,
    [ [* 382,
        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:=
[* 635,
    [ [* 382,
        -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:=
[* 635,
    [ [* 382,
        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:=
[* 635,
    [ [* 382,
        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:=
[* 635,
    [ [* 382,
        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:=
[* 635,
    [ [* 382,
        -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:=
[* 635,
    [ [* 382,
        a^3
    *], [* 511,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 635,
    [ [* 382, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 635,
    [ [* 382,
        -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:=
[* 636,
    [ [* 373, 1 *], [* 425, 1 *], [* 319, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 636,
    [ [* 373, 1 *], [* 425, -1 *], [* 319, 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:=
[* 636,
    [ [* 373,
        a
    *], [* 425,
        1
    *], [* 319,
        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:=
[* 636,
    [ [* 373,
        a
    *], [* 425,
        -1
    *], [* 319,
        -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:=
[* 636,
    [ [* 373,
        a
    *], [* 425,
        1
    *], [* 319,
        -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:=
[* 636,
    [ [* 373,
        a
    *], [* 425,
        -1
    *], [* 319,
        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:=
[* 636,
    [ [* 373,
        a^2
    *], [* 425,
        1
    *], [* 319,
        -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:=
[* 636,
    [ [* 373,
        a^2
    *], [* 425,
        -1
    *], [* 319,
        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:=
[* 636,
    [ [* 373,
        a
    *], [* 425,
        1
    *], [* 319,
        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:=
[* 636,
    [ [* 373,
        a
    *], [* 425,
        -1
    *], [* 319,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 636,
    [ [* 373, -1 *], [* 425, 1 *], [* 319, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 636,
    [ [* 373, -1 *], [* 425, -1 *], [* 319, 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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248, -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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        -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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        -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:=
[* 637,
    [ [* 248,
        -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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        -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:=
[* 637,
    [ [* 248,
        -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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248,
        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:=
[* 637,
    [ [* 248, -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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 638,
    [ [* 233,
        a
    *], [* 89,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 638,
    [ [* 233, -1 *], [* 89, 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:=
[* 638,
    [ [* 233,
        1
    *], [* 89,
        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:=
[* 638,
    [ [* 233,
        a^28
    *], [* 89,
        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:=
[* 638,
    [ [* 233,
        a^7
    *], [* 89,
        a^5
    *] ]
*]
;
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:=
[* 638,
    [ [* 233,
        -1
    *], [* 89,
        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:=
[* 638,
    [ [* 233,
        a^7
    *], [* 89,
        a^10
    *] ]
*]
;
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:=
[* 638,
    [ [* 233,
        -1
    *], [* 89,
        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:=
[* 638,
    [ [* 233,
        1
    *], [* 89,
        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:=
[* 638,
    [ [* 233,
        a^4
    *], [* 89,
        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:=
[* 638,
    [ [* 233,
        a
    *], [* 89,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 638,
    [ [* 233, -1 *], [* 89, -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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 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:=
[* 639,
    [ [* 433,
        a^2
    *], [* 569,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 639,
    [ [* 433,
        -1
    *], [* 569,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 + 7*x^10 + 6*x^9 + 34*x^8 + 28*x^7 + 78*x^6 + 49*x^5 + 118*x^4 + 
    76*x^3 + 56*x^2 + 8*x + 1
);
eps_on_gens:=
[* 639,
    [ [* 433,
        -1
    *], [* 569,
        1/140997*(-19138*a^11 - 17780*a^10 - 134820*a^9 - 107086*a^8 - 
            656135*a^7 - 496545*a^6 - 1518391*a^5 - 863450*a^4 - 2310420*a^3 - 
            1274000*a^2 - 1131655*a - 161850)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 640,
    [ [* 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^16 + 1
);
eps_on_gens:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 261,
        a
    *], [* 257,
        1
    *], [* 511,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 640,
    [ [* 261, -1 *], [* 257, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
5
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 640,
    [ [* 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^16 + 1
);
eps_on_gens:=
[* 640,
    [ [* 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^8 + 1
);
eps_on_gens:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 261,
        a^3
    *], [* 257,
        a^2
    *], [* 511,
        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:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 261,
        -a
    *], [* 257,
        a
    *], [* 511,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 640,
    [ [* 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^16 + 1
);
eps_on_gens:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 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:=
[* 640,
    [ [* 261,
        a
    *], [* 257,
        -1
    *], [* 511,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 640,
    [ [* 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^256 - x^192 + x^128 - x^64 + 1
);
eps_on_gens:=
[* 641,
    [ [* 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:=
[* 641,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 642,
    [ [* 109, 1 *], [* 215, -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:=
[* 642,
    [ [* 109,
        a
    *], [* 215,
        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:=
[* 642,
    [ [* 109,
        a^2
    *], [* 215,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 642,
    [ [* 109, -1 *], [* 215, 1 *] ]
*]
;
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:=
[* 643,
    [ [* 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:=
[* 643,
    [ [* 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:=
[* 643,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 643,
    [ [* 11,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 644,
    [ [* 185, 1 *], [* 281, 1 *], [* 323, -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:=
[* 644,
    [ [* 185,
        a
    *], [* 281,
        1
    *], [* 323,
        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:=
[* 644,
    [ [* 185,
        a - 1
    *], [* 281,
        1
    *], [* 323,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 644,
    [ [* 185, -1 *], [* 281, 1 *], [* 323, 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:=
[* 644,
    [ [* 185,
        1
    *], [* 281,
        a
    *], [* 323,
        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:=
[* 644,
    [ [* 185,
        a^11
    *], [* 281,
        a^3
    *], [* 323,
        -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:=
[* 644,
    [ [* 185,
        a^11 - 1
    *], [* 281,
        a^3
    *], [* 323,
        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:=
[* 644,
    [ [* 185,
        -1
    *], [* 281,
        a
    *], [* 323,
        -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:=
[* 644,
    [ [* 185,
        1
    *], [* 281,
        a^2
    *], [* 323,
        -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:=
[* 644,
    [ [* 185,
        a^11
    *], [* 281,
        a^6
    *], [* 323,
        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:=
[* 644,
    [ [* 185,
        a^11 - 1
    *], [* 281,
        a^6
    *], [* 323,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
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:=
[* 644,
    [ [* 185,
        -1
    *], [* 281,
        a^2
    *], [* 323,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 644,
    [ [* 185, 1 *], [* 281, -1 *], [* 323, 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:=
[* 644,
    [ [* 185,
        a
    *], [* 281,
        -1
    *], [* 323,
        -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:=
[* 644,
    [ [* 185,
        a - 1
    *], [* 281,
        -1
    *], [* 323,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 644,
    [ [* 185,
        -1
    *], [* 281,
        -1
    *], [* 323,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 645,
    [ [* 517, 1 *], [* 46, 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:=
[* 645,
    [ [* 517,
        a
    *], [* 46,
        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:=
[* 645,
    [ [* 517, -1 *], [* 46, 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:=
[* 645,
    [ [* 517,
        1
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        a^21
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        -1
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        1
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        a^21
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        -1
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        1
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        a^7
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        -1
    *], [* 46,
        a
    *], [* 431,
        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:=
[* 645,
    [ [* 517,
        1
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        a^7
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        -1
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        1
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        a^3
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        -1
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        1
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        a^3
    *], [* 46,
        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:=
[* 645,
    [ [* 517,
        -1
    *], [* 46,
        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:=
[* 645,
    [ [* 517, 1 *], [* 46, -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:=
[* 645,
    [ [* 517,
        a
    *], [* 46,
        -1
    *], [* 431,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 645,
    [ [* 517, -1 *], [* 46, -1 *], [* 431, 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:=
[* 646,
    [ [* 343,
        a
    *], [* 477,
        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:=
[* 646,
    [ [* 343,
        1
    *], [* 477,
        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:=
[* 646,
    [ [* 343,
        a^9
    *], [* 477,
        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^6 + 1
);
eps_on_gens:=
[* 646,
    [ [* 343,
        a^9
    *], [* 477,
        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^3 + 1
);
eps_on_gens:=
[* 646,
    [ [* 343,
        -1
    *], [* 477,
        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:=
[* 646,
    [ [* 343,
        a^9
    *], [* 477,
        a^16
    *] ]
*]
;
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:=
[* 646,
    [ [* 343,
        1
    *], [* 477,
        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:=
[* 646,
    [ [* 343,
        a^3
    *], [* 477,
        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:=
[* 646,
    [ [* 343,
        a^3
    *], [* 477,
        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:=
[* 646,
    [ [* 343,
        -1
    *], [* 477,
        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:=
[* 646,
    [ [* 343,
        a^3
    *], [* 477,
        a^8 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 646,
    [ [* 343, 1 *], [* 477, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 646,
    [ [* 343,
        a
    *], [* 477,
        -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:=
[* 646,
    [ [* 343,
        a
    *], [* 477,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 646,
    [ [* 343, -1 *], [* 477, -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:=
[* 647,
    [ [* 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:=
[* 647,
    [ [* 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:=
[* 647,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 647,
    [ [* 5,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 648,
    [ [* 569, 1 *], [* 325, 1 *], [* 487, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 648,
    [ [* 569, 1 *], [* 325, -1 *], [* 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:=
[* 648,
    [ [* 569,
        a
    *], [* 325,
        1
    *], [* 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:=
[* 648,
    [ [* 569,
        a
    *], [* 325,
        -1
    *], [* 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:=
[* 648,
    [ [* 569,
        a^2
    *], [* 325,
        1
    *], [* 487,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 648,
    [ [* 569,
        a^2
    *], [* 325,
        -1
    *], [* 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:=
[* 648,
    [ [* 569,
        a
    *], [* 325,
        1
    *], [* 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:=
[* 648,
    [ [* 569,
        a
    *], [* 325,
        -1
    *], [* 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:=
[* 648,
    [ [* 569,
        a^2
    *], [* 325,
        1
    *], [* 487,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 648,
    [ [* 569,
        a^2
    *], [* 325,
        -1
    *], [* 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:=
[* 648,
    [ [* 569,
        a
    *], [* 325,
        1
    *], [* 487,
        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:=
[* 648,
    [ [* 569,
        a
    *], [* 325,
        -1
    *], [* 487,
        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:=
[* 648,
    [ [* 569,
        a - 1
    *], [* 325,
        1
    *], [* 487,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
5
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 648,
    [ [* 569,
        a - 1
    *], [* 325,
        -1
    *], [* 487,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 648,
    [ [* 569, -1 *], [* 325, 1 *], [* 487, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 648,
    [ [* 569, -1 *], [* 325, -1 *], [* 487, 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:=
[* 649,
    [ [* 474,
        1
    *], [* 178,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 649,
    [ [* 474, 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:=
[* 649,
    [ [* 474,
        a
    *], [* 178,
        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:=
[* 649,
    [ [* 474,
        a^5
    *], [* 178,
        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:=
[* 649,
    [ [* 474,
        a^10
    *], [* 178,
        a^29
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 649,
    [ [* 474,
        a^2
    *], [* 178,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 649,
    [ [* 474, -1 *], [* 178, 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:=
[* 649,
    [ [* 474,
        -1
    *], [* 178,
        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:=
[* 650,
    [ [* 27,
        a
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        a
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        1
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        a^6
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        a^12
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        -1
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        a^3
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        a^3
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        1
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        a^2
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        a^4
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        -1
    *], [* 301,
        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:=
[* 650,
    [ [* 27,
        a^3
    *], [* 301,
        a^10 - 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:=
[* 650,
    [ [* 27,
        a^3
    *], [* 301,
        a^2 - 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:=
[* 650,
    [ [* 27,
        a
    *], [* 301,
        -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:=
[* 650,
    [ [* 27,
        a
    *], [* 301,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 651,
    [ [* 127, 1 *], [* 94, 1 *], [* 218, -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:=
[* 651,
    [ [* 127,
        1
    *], [* 94,
        a
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        1
    *], [* 94,
        a - 1
    *], [* 218,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 651,
    [ [* 127, 1 *], [* 94, -1 *], [* 218, 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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        1
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        a^5
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        a^5 - 1
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        -1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        -a^5
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        -a^5 + 1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a^2
    *], [* 94,
        1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a^2
    *], [* 94,
        a^5
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a^2
    *], [* 94,
        a^5 - 1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a^2
    *], [* 94,
        -1
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a^2
    *], [* 94,
        -a^5
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a^2
    *], [* 94,
        -a^5 + 1
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        1
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a^3
    *], [* 94,
        a^5
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a^3
    *], [* 94,
        a^5 - 1
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        -1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        1
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        a
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        a - 1
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        -1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        -a
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a
    *], [* 94,
        -a + 1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a^2
    *], [* 94,
        1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a^6
    *], [* 94,
        a^5
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a^6
    *], [* 94,
        a^5 - 1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a^2
    *], [* 94,
        -1
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a - 1
    *], [* 94,
        1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a - 1
    *], [* 94,
        a
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a - 1
    *], [* 94,
        a - 1
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a - 1
    *], [* 94,
        -1
    *], [* 218,
        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:=
[* 651,
    [ [* 127,
        a - 1
    *], [* 94,
        -a
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        a - 1
    *], [* 94,
        -a + 1
    *], [* 218,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 651,
    [ [* 127, -1 *], [* 94, 1 *], [* 218, 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:=
[* 651,
    [ [* 127,
        -1
    *], [* 94,
        a
    *], [* 218,
        -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:=
[* 651,
    [ [* 127,
        -1
    *], [* 94,
        a - 1
    *], [* 218,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 651,
    [ [* 127, -1 *], [* 94, -1 *], [* 218, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 652,
    [ [* 165, 1 *], [* 327, -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:=
[* 652,
    [ [* 165,
        a
    *], [* 327,
        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:=
[* 652,
    [ [* 165,
        a^2
    *], [* 327,
        -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:=
[* 652,
    [ [* 165,
        a
    *], [* 327,
        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:=
[* 652,
    [ [* 165,
        a^2
    *], [* 327,
        -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:=
[* 652,
    [ [* 165,
        a
    *], [* 327,
        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:=
[* 652,
    [ [* 165,
        a^2
    *], [* 327,
        -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:=
[* 652,
    [ [* 165,
        a
    *], [* 327,
        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:=
[* 652,
    [ [* 165,
        a - 1
    *], [* 327,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 652,
    [ [* 165, -1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 653,
    [ [* 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:=
[* 653,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 654,
    [ [* 115, 1 *], [* 437, -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:=
[* 654,
    [ [* 115,
        a
    *], [* 437,
        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:=
[* 654,
    [ [* 115,
        a
    *], [* 437,
        -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:=
[* 654,
    [ [* 115,
        a
    *], [* 437,
        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:=
[* 654,
    [ [* 115,
        a^2
    *], [* 437,
        -1
    *] ]
*]
;
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:=
[* 654,
    [ [* 115,
        a
    *], [* 437,
        -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:=
[* 654,
    [ [* 115,
        a
    *], [* 437,
        1
    *] ]
*]
;
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:=
[* 654,
    [ [* 115,
        a^2
    *], [* 437,
        -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:=
[* 654,
    [ [* 115,
        a
    *], [* 437,
        -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:=
[* 654,
    [ [* 115,
        a
    *], [* 437,
        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:=
[* 654,
    [ [* 115,
        a - 1
    *], [* 437,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 654,
    [ [* 115, -1 *], [* 437, -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:=
[* 655,
    [ [* 132,
        a
    *], [* 526,
        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^43 - x^42 + x^38 + x^37 - x^35 - x^34 - x^33 - x^32 + x^30 + 
    x^29 + x^28 + x^27 - x^25 - x^24 - x^23 + x^21 + x^20 + x^19 + x^18 - x^16 -
    x^15 - x^14 - x^13 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 655,
    [ [* 132,
        1
    *], [* 526,
        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^43 - x^42 + x^38 + x^37 - x^35 - x^34 - x^33 - x^32 + x^30 + 
    x^29 + x^28 + x^27 - x^25 - x^24 - x^23 + x^21 + x^20 + x^19 + x^18 - x^16 -
    x^15 - x^14 - x^13 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 655,
    [ [* 132,
        -1
    *], [* 526,
        a
    *] ]
*]
;
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^86 - x^84 + x^76 + x^74 - x^70 - x^68 - x^66 - x^64 + x^60 + 
    x^58 + x^56 + x^54 - x^50 - x^48 - x^46 + x^42 + x^40 + x^38 + x^36 - x^32 -
    x^30 - x^28 - x^26 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 655,
    [ [* 132,
        a^65
    *], [* 526,
        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^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 655,
    [ [* 132,
        1
    *], [* 526,
        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:=
[* 655,
    [ [* 132,
        -1
    *], [* 526,
        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^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 
    1
);
eps_on_gens:=
[* 655,
    [ [* 132,
        a^13
    *], [* 526,
        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:=
[* 655,
    [ [* 132,
        1
    *], [* 526,
        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:=
[* 655,
    [ [* 132,
        -1
    *], [* 526,
        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:=
[* 655,
    [ [* 132,
        a^5
    *], [* 526,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 655,
    [ [* 132, 1 *], [* 526, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
9
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 655,
    [ [* 132,
        -1
    *], [* 526,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 656,
    [ [* 129, 1 *], [* 165, 1 *], [* 575, -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:=
[* 656,
    [ [* 129,
        1
    *], [* 165,
        a
    *], [* 575,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 656,
    [ [* 129, 1 *], [* 165, -1 *], [* 575, -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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        1
    *], [* 575,
        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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        a^10
    *], [* 575,
        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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        -1
    *], [* 575,
        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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        -a^10
    *], [* 575,
        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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        1
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        a^5
    *], [* 575,
        -1
    *] ]
*]
;
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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        -1
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        -a^5
    *], [* 575,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        1
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a^2
    *], [* 165,
        a^5
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        -1
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        1
    *], [* 575,
        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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        a^2
    *], [* 575,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        -1
    *], [* 575,
        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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        -a^2
    *], [* 575,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 656,
    [ [* 129,
        a^2
    *], [* 165,
        1
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a^4
    *], [* 165,
        a^5
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a^2
    *], [* 165,
        -1
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        1
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        a
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        -1
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        a
    *], [* 165,
        -a
    *], [* 575,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 656,
    [ [* 129,
        -1
    *], [* 165,
        1
    *], [* 575,
        -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:=
[* 656,
    [ [* 129,
        -1
    *], [* 165,
        a
    *], [* 575,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 656,
    [ [* 129, -1 *], [* 165, -1 *], [* 575, -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:=
[* 657,
    [ [* 370,
        1
    *], [* 74,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 657,
    [ [* 370, 1 *], [* 74, -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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        a^12 - 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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -a^12
    *] ]
*]
;
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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -a^6 + 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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        a^4 - 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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -a^3 + 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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        a^2
    *] ]
*]
;
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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -a^2 + 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:=
[* 657,
    [ [* 370,
        a^2
    *], [* 74,
        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:=
[* 657,
    [ [* 370,
        a^2
    *], [* 74,
        -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:=
[* 657,
    [ [* 370,
        a^2
    *], [* 74,
        -a^3 + 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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        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:=
[* 657,
    [ [* 370,
        a^3
    *], [* 74,
        a^4 - 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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -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:=
[* 657,
    [ [* 370,
        a^3
    *], [* 74,
        a^2
    *] ]
*]
;
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:=
[* 657,
    [ [* 370,
        a
    *], [* 74,
        -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:=
[* 657,
    [ [* 370,
        a - 1
    *], [* 74,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 - 2*x^2 + 4
);
eps_on_gens:=
[* 657,
    [ [* 370,
        1/2*(a^2 - 2)
    *], [* 74,
        -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:=
[* 657,
    [ [* 370,
        a - 1
    *], [* 74,
        -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:=
[* 657,
    [ [* 370,
        -1
    *], [* 74,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 657,
    [ [* 370, -1 *], [* 74, -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:=
[* 658,
    [ [* 99,
        1
    *], [* 283,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 658,
    [ [* 99, 1 *], [* 283, -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:=
[* 658,
    [ [* 99,
        a
    *], [* 283,
        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:=
[* 658,
    [ [* 99,
        a^3
    *], [* 283,
        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:=
[* 658,
    [ [* 99,
        a^6
    *], [* 283,
        a^23
    *] ]
*]
;
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:=
[* 658,
    [ [* 99,
        a^2
    *], [* 283,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 658,
    [ [* 99, -1 *], [* 283, 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:=
[* 658,
    [ [* 99,
        -1
    *], [* 283,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^276 + x^275 - x^269 - x^268 + x^262 + x^261 - x^255 - x^254 + x^248 + x^247 - 
    x^241 - x^240 + x^234 + x^233 - x^229 - x^228 - x^227 - x^226 + x^222 + 
    x^221 + x^220 + x^219 - x^215 - x^214 - x^213 - x^212 + x^208 + x^207 + 
    x^206 + x^205 - x^201 - x^200 - x^199 - x^198 + x^194 + x^193 + x^192 + 
    x^191 - x^187 - x^186 - x^185 - x^184 + x^182 + x^181 + x^180 + x^179 + 
    x^178 + x^177 - x^175 - x^174 - x^173 - x^172 - x^171 - x^170 + x^168 + 
    x^167 + x^166 + x^165 + x^164 + x^163 - x^161 - x^160 - x^159 - x^158 - 
    x^157 - x^156 + x^154 + x^153 + x^152 + x^151 + x^150 + x^149 - x^147 - 
    x^146 - x^145 - x^144 - x^143 - x^142 + x^140 + x^139 + x^138 + x^137 + 
    x^136 - x^134 - x^133 - x^132 - x^131 - x^130 - x^129 + x^127 + x^126 + 
    x^125 + x^124 + x^123 + x^122 - x^120 - x^119 - x^118 - x^117 - x^116 - 
    x^115 + x^113 + x^112 + x^111 + x^110 + x^109 + x^108 - x^106 - x^105 - 
    x^104 - x^103 - x^102 - x^101 + x^99 + x^98 + x^97 + x^96 + x^95 + x^94 - 
    x^92 - x^91 - x^90 - x^89 + x^85 + x^84 + x^83 + x^82 - x^78 - x^77 - x^76 -
    x^75 + x^71 + x^70 + x^69 + x^68 - x^64 - x^63 - x^62 - x^61 + x^57 + x^56 +
    x^55 + x^54 - x^50 - x^49 - x^48 - x^47 + x^43 + x^42 - x^36 - x^35 + x^29 +
    x^28 - x^22 - x^21 + x^15 + x^14 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 659,
    [ [* 2,
        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:=
[* 659,
    [ [* 2,
        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:=
[* 659,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 659,
    [ [* 2,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 660,
    [ [* 541, 1 *], [* 331, -1 *], [* 397, 1 *], [* 221, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 660,
    [ [* 541, 1 *], [* 331, 1 *], [* 397, 1 *], [* 221, -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:=
[* 660,
    [ [* 541,
        1
    *], [* 331,
        1
    *], [* 397,
        a
    *], [* 221,
        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:=
[* 660,
    [ [* 541,
        1
    *], [* 331,
        -1
    *], [* 397,
        a
    *], [* 221,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 660,
    [ [* 541, 1 *], [* 331, -1 *], [* 397, -1 *], [* 221, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 660,
    [ [* 541, 1 *], [* 331, 1 *], [* 397, -1 *], [* 221, -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:=
[* 660,
    [ [* 541,
        a
    *], [* 331,
        1
    *], [* 397,
        1
    *], [* 221,
        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:=
[* 660,
    [ [* 541,
        a
    *], [* 331,
        -1
    *], [* 397,
        1
    *], [* 221,
        -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:=
[* 660,
    [ [* 541,
        a^2
    *], [* 331,
        -1
    *], [* 397,
        a^5
    *], [* 221,
        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:=
[* 660,
    [ [* 541,
        a^2
    *], [* 331,
        1
    *], [* 397,
        a^5
    *], [* 221,
        -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:=
[* 660,
    [ [* 541,
        a
    *], [* 331,
        1
    *], [* 397,
        -1
    *], [* 221,
        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:=
[* 660,
    [ [* 541,
        a
    *], [* 331,
        -1
    *], [* 397,
        -1
    *], [* 221,
        -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:=
[* 660,
    [ [* 541,
        a^2
    *], [* 331,
        -1
    *], [* 397,
        1
    *], [* 221,
        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:=
[* 660,
    [ [* 541,
        a^2
    *], [* 331,
        1
    *], [* 397,
        1
    *], [* 221,
        -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:=
[* 660,
    [ [* 541,
        a^4
    *], [* 331,
        1
    *], [* 397,
        a^5
    *], [* 221,
        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:=
[* 660,
    [ [* 541,
        a^4
    *], [* 331,
        -1
    *], [* 397,
        a^5
    *], [* 221,
        -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:=
[* 660,
    [ [* 541,
        a^2
    *], [* 331,
        -1
    *], [* 397,
        -1
    *], [* 221,
        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:=
[* 660,
    [ [* 541,
        a^2
    *], [* 331,
        1
    *], [* 397,
        -1
    *], [* 221,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 660,
    [ [* 541, -1 *], [* 331, 1 *], [* 397, 1 *], [* 221, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 660,
    [ [* 541, -1 *], [* 331, -1 *], [* 397, 1 *], [* 221, -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:=
[* 660,
    [ [* 541,
        -1
    *], [* 331,
        -1
    *], [* 397,
        a
    *], [* 221,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 + 2*x^3 + 2*x^2 - 2*x + 1
);
eps_on_gens:=
[* 660,
    [ [* 541,
        -1
    *], [* 331,
        1
    *], [* 397,
        1/2*(a^3 + 3*a^2 + 3*a - 1)
    *], [* 221,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 660,
    [ [* 541, -1 *], [* 331, 1 *], [* 397, -1 *], [* 221, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 660,
    [ [* 541, -1 *], [* 331, -1 *], [* 397, -1 *], [* 221, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 - x^158 + x^156 + x^150 - x^148 + x^146 + x^138 - x^136 + x^134 - x^130 + 
    2*x^128 - 2*x^126 + x^124 - x^120 + x^118 - x^116 - x^108 + x^106 - x^104 + 
    x^100 - 2*x^98 + 2*x^96 - 2*x^94 + x^92 - x^88 + x^86 - x^84 + x^82 - x^80 +
    x^78 - x^76 + x^74 - x^72 + x^68 - 2*x^66 + 2*x^64 - 2*x^62 + x^60 - x^56 + 
    x^54 - x^52 - x^44 + x^42 - x^40 + x^36 - 2*x^34 + 2*x^32 - x^30 + x^26 - 
    x^24 + x^22 + x^14 - x^12 + x^10 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 661,
    [ [* 2,
        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:=
[* 661,
    [ [* 2,
        a
    *] ]
*]
;
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:=
[* 661,
    [ [* 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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 661,
    [ [* 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:=
[* 661,
    [ [* 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^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 661,
    [ [* 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:=
[* 661,
    [ [* 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:=
[* 661,
    [ [* 2,
        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^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 
    2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + 
    x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + 
    x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 662,
    [ [* 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^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:=
[* 662,
    [ [* 3,
        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:=
[* 662,
    [ [* 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:=
[* 662,
    [ [* 3,
        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:=
[* 662,
    [ [* 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:=
[* 662,
    [ [* 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:=
[* 662,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 662,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 663,
    [ [* 613, 1 *], [* 547, 1 *], [* 443, -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:=
[* 663,
    [ [* 613,
        a
    *], [* 547,
        1
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        a
    *], [* 547,
        1
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        a
    *], [* 547,
        1
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        a - 1
    *], [* 547,
        1
    *], [* 443,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 663,
    [ [* 613, -1 *], [* 547, 1 *], [* 443, -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:=
[* 663,
    [ [* 613,
        1
    *], [* 547,
        a
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        a^4
    *], [* 547,
        a^3
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        a^8
    *], [* 547,
        a^3
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        a^4
    *], [* 547,
        a
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        a^8 - 1
    *], [* 547,
        a^3
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        -1
    *], [* 547,
        a
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        -a^4
    *], [* 547,
        a^3
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        -a^4
    *], [* 547,
        a
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        1
    *], [* 547,
        a
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        a^2
    *], [* 547,
        a^3
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        a^4
    *], [* 547,
        a^3
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        a^2
    *], [* 547,
        a
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        a^4 - 1
    *], [* 547,
        a^3
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        -1
    *], [* 547,
        a
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        -a^2
    *], [* 547,
        a^3
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        -a^2
    *], [* 547,
        a
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        1
    *], [* 547,
        a
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        a
    *], [* 547,
        a^3
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        a^2
    *], [* 547,
        a^3
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        a
    *], [* 547,
        a
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        a^2 - 1
    *], [* 547,
        a^3
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        -1
    *], [* 547,
        a
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        -a
    *], [* 547,
        a^3
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        -a
    *], [* 547,
        a
    *], [* 443,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 663,
    [ [* 613, 1 *], [* 547, -1 *], [* 443, -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:=
[* 663,
    [ [* 613,
        a
    *], [* 547,
        -1
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        a
    *], [* 547,
        -1
    *], [* 443,
        -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:=
[* 663,
    [ [* 613,
        a
    *], [* 547,
        -1
    *], [* 443,
        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:=
[* 663,
    [ [* 613,
        a - 1
    *], [* 547,
        -1
    *], [* 443,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 663,
    [ [* 613,
        -1
    *], [* 547,
        -1
    *], [* 443,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 664,
    [ [* 417, 1 *], [* 333, 1 *], [* 167, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 664,
    [ [* 417, 1 *], [* 333, -1 *], [* 167, -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:=
[* 664,
    [ [* 417,
        a
    *], [* 333,
        1
    *], [* 167,
        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:=
[* 664,
    [ [* 417,
        a
    *], [* 333,
        -1
    *], [* 167,
        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:=
[* 664,
    [ [* 417,
        a^2
    *], [* 333,
        1
    *], [* 167,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 664,
    [ [* 417,
        a^2
    *], [* 333,
        -1
    *], [* 167,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 664,
    [ [* 417, -1 *], [* 333, 1 *], [* 167, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 664,
    [ [* 417,
        -1
    *], [* 333,
        -1
    *], [* 167,
        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:=
[* 665,
    [ [* 267,
        a
    *], [* 211,
        1
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        1
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        1
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        a^3
    *], [* 211,
        1
    *], [* 381,
        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:=
[* 665,
    [ [* 267, 1 *], [* 211, 1 *], [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 665,
    [ [* 267, -1 *], [* 211, 1 *], [* 381, -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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        a^9
    *], [* 211,
        a^2
    *], [* 381,
        a^6
    *] ]
*]
;
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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        a^9
    *], [* 211,
        a^2
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        a^9
    *], [* 211,
        a^2
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        a^9
    *], [* 211,
        a^4
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a^2
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a^2
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        a^9
    *], [* 211,
        a^4
    *], [* 381,
        a^6 - 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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a^2
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a^2
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        a^9
    *], [* 211,
        a^4
    *], [* 381,
        -a^6
    *] ]
*]
;
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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a^2
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a^2
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        a^3
    *], [* 211,
        a^2
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        a^3
    *], [* 211,
        a^2
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        a^3
    *], [* 211,
        a^2
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        a^3
    *], [* 211,
        a^2 - 1
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a - 1
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a - 1
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        a^3
    *], [* 211,
        a^2 - 1
    *], [* 381,
        a^2 - 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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a - 1
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a - 1
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        a^3
    *], [* 211,
        a^2 - 1
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        a - 1
    *], [* 381,
        -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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        a - 1
    *], [* 381,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 665,
    [ [* 267, 1 *], [* 211, -1 *], [* 381, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 665,
    [ [* 267, -1 *], [* 211, -1 *], [* 381, 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:=
[* 665,
    [ [* 267,
        a^3
    *], [* 211,
        -1
    *], [* 381,
        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:=
[* 665,
    [ [* 267,
        1
    *], [* 211,
        -1
    *], [* 381,
        a - 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:=
[* 665,
    [ [* 267,
        -1
    *], [* 211,
        -1
    *], [* 381,
        a - 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:=
[* 665,
    [ [* 267,
        a
    *], [* 211,
        -1
    *], [* 381,
        -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:=
[* 666,
    [ [* 631,
        1
    *], [* 371,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 666,
    [ [* 631, 1 *], [* 371, -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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        -a^6
    *] ]
*]
;
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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        -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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        -a^3 + 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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        -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^3 + 1
);
eps_on_gens:=
[* 666,
    [ [* 631,
        a^2
    *], [* 371,
        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:=
[* 666,
    [ [* 631,
        a^2
    *], [* 371,
        -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:=
[* 666,
    [ [* 631,
        a^2
    *], [* 371,
        -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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        a
    *] ]
*]
;
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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        -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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        -a + 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:=
[* 666,
    [ [* 631,
        a
    *], [* 371,
        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:=
[* 666,
    [ [* 631,
        a^3
    *], [* 371,
        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:=
[* 666,
    [ [* 631,
        a - 1
    *], [* 371,
        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:=
[* 666,
    [ [* 631,
        a - 1
    *], [* 371,
        -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:=
[* 666,
    [ [* 631,
        a - 1
    *], [* 371,
        -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:=
[* 666,
    [ [* 631,
        -1
    *], [* 371,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 666,
    [ [* 631, -1 *], [* 371, -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:=
[* 667,
    [ [* 465,
        a
    *], [* 553,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 667,
    [ [* 465, -1 *], [* 553, 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:=
[* 667,
    [ [* 465,
        1
    *], [* 553,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^118 - x^106 - x^104 - x^98 - x^96 + x^92 + x^90 + x^84 + x^82 - x^78 +
    x^74 - x^70 - x^68 + x^64 - x^60 + x^56 - x^52 - x^50 + x^46 - x^42 + x^38 +
    x^36 + x^30 + x^28 - x^24 - x^22 - x^16 - x^14 + x^2 + 1
);
eps_on_gens:=
[* 667,
    [ [* 465,
        a^28
    *], [* 553,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^59 - x^53 - x^52 - x^49 - x^48 + x^46 + x^45 + x^42 + x^41 - x^39 + 
    x^37 - x^35 - x^34 + x^32 - x^30 + x^28 - x^26 - x^25 + x^23 - x^21 + x^19 +
    x^18 + x^15 + x^14 - x^12 - x^11 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 667,
    [ [* 465,
        a^7
    *], [* 553,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
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:=
[* 667,
    [ [* 465,
        -1
    *], [* 553,
        a^8 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^59 - x^53 - x^52 - x^49 - x^48 + x^46 + x^45 + x^42 + x^41 - x^39 + 
    x^37 - x^35 - x^34 + x^32 - x^30 + x^28 - x^26 - x^25 + x^23 - x^21 + x^19 +
    x^18 + x^15 + x^14 - x^12 - x^11 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 667,
    [ [* 465,
        a^7
    *], [* 553,
        a^22
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
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:=
[* 667,
    [ [* 465,
        -1
    *], [* 553,
        -a^8 - 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:=
[* 667,
    [ [* 465,
        1
    *], [* 553,
        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:=
[* 667,
    [ [* 465,
        a^4
    *], [* 553,
        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:=
[* 667,
    [ [* 465,
        a
    *], [* 553,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 667,
    [ [* 465,
        -1
    *], [* 553,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 668,
    [ [* 5, 1 *], [* 335, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 668,
    [ [* 5,
        a
    *], [* 335,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 668,
    [ [* 5,
        a^2
    *], [* 335,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
15
;
C:=Rationals();
eps_on_gens:=
[* 668,
    [ [* 5, -1 *], [* 335, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 669,
    [ [* 226, 1 *], [* 224, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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^41 -
    x^39 - x^38 + 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:=
[* 669,
    [ [* 226,
        a
    *], [* 224,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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^41 -
    x^39 - x^38 + 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:=
[* 669,
    [ [* 226,
        a^2
    *], [* 224,
        -1
    *] ]
*]
;
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:=
[* 669,
    [ [* 226,
        a
    *], [* 224,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 669,
    [ [* 226,
        a^2
    *], [* 224,
        -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:=
[* 669,
    [ [* 226,
        a
    *], [* 224,
        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:=
[* 669,
    [ [* 226,
        a - 1
    *], [* 224,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 669,
    [ [* 226, -1 *], [* 224, 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:=
[* 670,
    [ [* 537,
        a
    *], [* 471,
        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:=
[* 670,
    [ [* 537,
        1
    *], [* 471,
        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:=
[* 670,
    [ [* 537,
        -1
    *], [* 471,
        a
    *] ]
*]
;
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:=
[* 670,
    [ [* 537,
        a^33
    *], [* 471,
        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:=
[* 670,
    [ [* 537,
        1
    *], [* 471,
        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:=
[* 670,
    [ [* 537,
        -1
    *], [* 471,
        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:=
[* 670,
    [ [* 537,
        a^11
    *], [* 471,
        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:=
[* 670,
    [ [* 537,
        1
    *], [* 471,
        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:=
[* 670,
    [ [* 537,
        -1
    *], [* 471,
        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:=
[* 670,
    [ [* 537,
        a^3
    *], [* 471,
        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:=
[* 670,
    [ [* 537, 1 *], [* 471, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 670,
    [ [* 537, -1 *], [* 471, -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:=
[* 671,
    [ [* 551,
        1
    *], [* 123,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 671,
    [ [* 551, 1 *], [* 123, -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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        a^14 - 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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -a^6
    *] ]
*]
;
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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -a^14 - a^12 + a^6 + a^4 - 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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        a^7 + a^6 - a^3 - a^2 + 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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -a^7 + 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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        a^6 - a^4 + a^2 - 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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a^2
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a^2
    *], [* 123,
        a^7 + a^6 - a^3 - a^2 + 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:=
[* 671,
    [ [* 551,
        a^2
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a^2
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a^2
    *], [* 123,
        -a^7 + 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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a^5
    *], [* 123,
        a^12
    *] ]
*]
;
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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -a^3 + a^2 - 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:=
[* 671,
    [ [* 551,
        a^5
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a^2
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a^2
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a^2
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a^2
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        a^2
    *], [* 123,
        -a^3 + a^2 - a + 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:=
[* 671,
    [ [* 551,
        a
    *], [* 123,
        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:=
[* 671,
    [ [* 551,
        a^5
    *], [* 123,
        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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 671,
    [ [* 551,
        a^5 - 1
    *], [* 123,
        a^3
    *] ]
*]
;
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:=
[* 671,
    [ [* 551,
        a^2 - 1
    *], [* 123,
        -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:=
[* 671,
    [ [* 551,
        -1
    *], [* 123,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
14
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 671,
    [ [* 551,
        -1
    *], [* 123,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 672,
    [ [* 127, -1 *], [* 577, 1 *], [* 421, 1 *], [* 449, 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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        1
    *], [* 421,
        a
    *], [* 449,
        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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        1
    *], [* 421,
        a
    *], [* 449,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 672,
    [ [* 127, -1 *], [* 577, 1 *], [* 421, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 672,
    [ [* 127, 1 *], [* 577, 1 *], [* 421, 1 *], [* 449, -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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        1
    *], [* 421,
        a
    *], [* 449,
        -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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        1
    *], [* 421,
        a
    *], [* 449,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 672,
    [ [* 127, 1 *], [* 577, 1 *], [* 421, -1 *], [* 449, -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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        a
    *], [* 421,
        1
    *], [* 449,
        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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        a^4
    *], [* 421,
        a^3
    *], [* 449,
        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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        a^2
    *], [* 421,
        a^3
    *], [* 449,
        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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        a
    *], [* 421,
        -1
    *], [* 449,
        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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        a
    *], [* 421,
        1
    *], [* 449,
        -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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        a^4
    *], [* 421,
        a^3
    *], [* 449,
        -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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        a^2
    *], [* 421,
        a^3
    *], [* 449,
        -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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        a
    *], [* 421,
        -1
    *], [* 449,
        -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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        a - 1
    *], [* 421,
        1
    *], [* 449,
        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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        a^4 - 1
    *], [* 421,
        a^3
    *], [* 449,
        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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        a^2 - 1
    *], [* 421,
        a^3
    *], [* 449,
        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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        a - 1
    *], [* 421,
        -1
    *], [* 449,
        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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        a - 1
    *], [* 421,
        1
    *], [* 449,
        -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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        a^4 - 1
    *], [* 421,
        a^3
    *], [* 449,
        -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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        a^2 - 1
    *], [* 421,
        a^3
    *], [* 449,
        -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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        a - 1
    *], [* 421,
        -1
    *], [* 449,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 672,
    [ [* 127, 1 *], [* 577, -1 *], [* 421, 1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        -1
    *], [* 421,
        a
    *], [* 449,
        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:=
[* 672,
    [ [* 127,
        1
    *], [* 577,
        -1
    *], [* 421,
        a
    *], [* 449,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 672,
    [ [* 127, 1 *], [* 577, -1 *], [* 421, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 672,
    [ [* 127, -1 *], [* 577, -1 *], [* 421, 1 *], [* 449, -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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        -1
    *], [* 421,
        a
    *], [* 449,
        -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:=
[* 672,
    [ [* 127,
        -1
    *], [* 577,
        -1
    *], [* 421,
        a
    *], [* 449,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 672,
    [ [* 127, -1 *], [* 577, -1 *], [* 421, -1 *], [* 449, -1 *] ]
*]
;
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^144 - x^128 + x^96 - x^64 - x^48 + x^16 + 1
);
eps_on_gens:=
[* 673,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 - x^80 + x^64 - x^48 + x^32 - x^16 + 1
);
eps_on_gens:=
[* 673,
    [ [* 5,
        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:=
[* 673,
    [ [* 5,
        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:=
[* 673,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^88 - x^72 - x^64 + x^48 - x^32 - x^24 + x^8 + 1
);
eps_on_gens:=
[* 674,
    [ [* 347,
        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:=
[* 674,
    [ [* 347,
        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:=
[* 674,
    [ [* 347,
        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:=
[* 674,
    [ [* 347,
        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:=
[* 675,
    [ [* 326,
        a
    *], [* 352,
        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:=
[* 675,
    [ [* 326,
        a
    *], [* 352,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 675,
    [ [* 326,
        -1
    *], [* 352,
        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:=
[* 675,
    [ [* 326,
        1
    *], [* 352,
        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:=
[* 675,
    [ [* 326,
        a^20
    *], [* 352,
        a^9
    *] ]
*]
;
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:=
[* 675,
    [ [* 326,
        a^10 - 1
    *], [* 352,
        a^3
    *] ]
*]
;
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:=
[* 675,
    [ [* 326,
        a^5
    *], [* 352,
        a^9
    *] ]
*]
;
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:=
[* 675,
    [ [* 326,
        a^5
    *], [* 352,
        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:=
[* 675,
    [ [* 326,
        -1
    *], [* 352,
        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:=
[* 675,
    [ [* 326,
        a^5
    *], [* 352,
        a^18
    *] ]
*]
;
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:=
[* 675,
    [ [* 326,
        a^5
    *], [* 352,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^6 + 6*x^4 - 4*x^2 + 1
);
eps_on_gens:=
[* 675,
    [ [* 326,
        -1
    *], [* 352,
        1/11*(-7*a^6 - 8*a^4 - 40*a^2 + 16)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 + 9
);
eps_on_gens:=
[* 675,
    [ [* 326,
        1
    *], [* 352,
        -1/3*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:=
[* 675,
    [ [* 326,
        a^4
    *], [* 352,
        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:=
[* 675,
    [ [* 326,
        a^2 - 1
    *], [* 352,
        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:=
[* 675,
    [ [* 326,
        a
    *], [* 352,
        -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:=
[* 675,
    [ [* 326,
        a
    *], [* 352,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 675,
    [ [* 326,
        -1
    *], [* 352,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 676,
    [ [* 509, 1 *], [* 339, -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:=
[* 676,
    [ [* 509,
        a
    *], [* 339,
        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:=
[* 676,
    [ [* 509,
        a
    *], [* 339,
        -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:=
[* 676,
    [ [* 509,
        a
    *], [* 339,
        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:=
[* 676,
    [ [* 509,
        a^2
    *], [* 339,
        -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:=
[* 676,
    [ [* 509,
        a
    *], [* 339,
        -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:=
[* 676,
    [ [* 509,
        a^2
    *], [* 339,
        -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:=
[* 676,
    [ [* 509,
        a
    *], [* 339,
        1
    *] ]
*]
;
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 + 5*x^2 - 4*x + 1
);
eps_on_gens:=
[* 676,
    [ [* 509,
        -2*a^3 + 3*a^2 - 8*a + 4
    *], [* 339,
        -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:=
[* 676,
    [ [* 509,
        a
    *], [* 339,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 676,
    [ [* 509,
        a - 1
    *], [* 339,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 676,
    [ [* 509,
        -1
    *], [* 339,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^312 - x^286 + x^260 - x^234 + x^208 - x^182 + x^156 - x^130 + x^104 - x^78 + 
    x^52 - x^26 + 1
);
eps_on_gens:=
[* 677,
    [ [* 2,
        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^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 
    1
);
eps_on_gens:=
[* 677,
    [ [* 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:=
[* 677,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 678,
    [ [* 229, 1 *], [* 227, -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:=
[* 678,
    [ [* 229,
        a
    *], [* 227,
        1
    *] ]
*]
;
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:=
[* 678,
    [ [* 229,
        a
    *], [* 227,
        -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:=
[* 678,
    [ [* 229,
        a
    *], [* 227,
        -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:=
[* 678,
    [ [* 229,
        a
    *], [* 227,
        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:=
[* 678,
    [ [* 229,
        a
    *], [* 227,
        -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:=
[* 678,
    [ [* 229,
        a
    *], [* 227,
        -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:=
[* 678,
    [ [* 229,
        a^2
    *], [* 227,
        -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:=
[* 678,
    [ [* 229,
        a
    *], [* 227,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 678,
    [ [* 229, -1 *], [* 227, -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:=
[* 679,
    [ [* 393,
        1
    *], [* 486,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 679,
    [ [* 393, 1 *], [* 486, -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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -a^8 + 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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        a^3
    *], [* 486,
        a^16 - 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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -a^4 + 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:=
[* 679,
    [ [* 393,
        a^3
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -a^2 + 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:=
[* 679,
    [ [* 393,
        a^3
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        a
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        a^3
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        -a^2
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        a - 1
    *], [* 486,
        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:=
[* 679,
    [ [* 393,
        a - 1
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        a - 1
    *], [* 486,
        -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:=
[* 679,
    [ [* 393,
        -1
    *], [* 486,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 679,
    [ [* 393,
        -1
    *], [* 486,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 680,
    [ [* 241, 1 *], [* 511, -1 *], [* 137, 1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 680,
    [ [* 241, 1 *], [* 511, -1 *], [* 137, 1 *], [* 341, -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:=
[* 680,
    [ [* 241,
        1
    *], [* 511,
        1
    *], [* 137,
        a
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        1
    *], [* 511,
        1
    *], [* 137,
        a
    *], [* 341,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 680,
    [ [* 241, 1 *], [* 511, -1 *], [* 137, -1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 680,
    [ [* 241, 1 *], [* 511, -1 *], [* 137, -1 *], [* 341, -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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        1
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        1
    *], [* 341,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        a^4
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        a^4
    *], [* 341,
        -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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        -1
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        -1
    *], [* 341,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        -a^4
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        -a^4
    *], [* 341,
        -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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        1
    *], [* 341,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        1
    *], [* 341,
        -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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        a^2
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        a^2
    *], [* 341,
        -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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        -1
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        -1
    *], [* 341,
        -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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        -a^2
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        -a^2
    *], [* 341,
        -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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        1
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        1
    *], [* 341,
        -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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        a
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        a
    *], [* 341,
        -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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        -1
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 137,
        -1
    *], [* 341,
        -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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        -a
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 137,
        -a
    *], [* 341,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 680,
    [ [* 241, -1 *], [* 511, -1 *], [* 137, 1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 680,
    [ [* 241, -1 *], [* 511, -1 *], [* 137, 1 *], [* 341, -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:=
[* 680,
    [ [* 241,
        -1
    *], [* 511,
        1
    *], [* 137,
        a
    *], [* 341,
        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:=
[* 680,
    [ [* 241,
        -1
    *], [* 511,
        1
    *], [* 137,
        a
    *], [* 341,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 680,
    [ [* 241, -1 *], [* 511, -1 *], [* 137, -1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 680,
    [ [* 241,
        -1
    *], [* 511,
        -1
    *], [* 137,
        -1
    *], [* 341,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 681,
    [ [* 229, 1 *], [* 455, -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^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:=
[* 681,
    [ [* 229,
        a
    *], [* 455,
        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^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:=
[* 681,
    [ [* 229,
        a^2
    *], [* 455,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 681,
    [ [* 229, -1 *], [* 455, 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:=
[* 682,
    [ [* 375,
        1
    *], [* 497,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 682,
    [ [* 375, 1 *], [* 497, -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:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        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:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        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:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        a^7 - 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:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        -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:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        -a^7 - a^6 + a^3 + a^2 - 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:=
[* 682,
    [ [* 375,
        a^2
    *], [* 497,
        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:=
[* 682,
    [ [* 375,
        a^2
    *], [* 497,
        a^7 + a^6 - a^3 - a^2 + 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:=
[* 682,
    [ [* 375,
        a^2
    *], [* 497,
        -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:=
[* 682,
    [ [* 375,
        a^2
    *], [* 497,
        -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:=
[* 682,
    [ [* 375,
        a^2
    *], [* 497,
        -a^7 + 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:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        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:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        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:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        a^3 - a^2 + 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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        -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:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        -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:=
[* 682,
    [ [* 375,
        a
    *], [* 497,
        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:=
[* 682,
    [ [* 375,
        a^5
    *], [* 497,
        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:=
[* 682,
    [ [* 375,
        a^2
    *], [* 497,
        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:=
[* 682,
    [ [* 375,
        a^2
    *], [* 497,
        a^3
    *] ]
*]
;
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:=
[* 682,
    [ [* 375,
        a^2
    *], [* 497,
        -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:=
[* 682,
    [ [* 375,
        a^2
    *], [* 497,
        -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:=
[* 682,
    [ [* 375,
        a^2
    *], [* 497,
        -a^3 + a^2 - 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:=
[* 682,
    [ [* 375,
        a^5 - 1
    *], [* 497,
        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:=
[* 682,
    [ [* 375,
        a - 1
    *], [* 497,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 682,
    [ [* 375, -1 *], [* 497, 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:=
[* 682,
    [ [* 375,
        -1
    *], [* 497,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^300 + x^299 - x^289 - x^288 + x^278 + x^277 - x^269 - x^268 - x^267 - x^266 + 
    x^258 + x^257 + x^256 + x^255 - x^247 - x^246 - x^245 - x^244 + x^238 + 
    x^237 + x^236 + x^235 + x^234 + x^233 - x^227 - x^226 - x^225 - x^224 - 
    x^223 - x^222 + x^216 + x^215 + x^214 + x^213 + x^212 + x^211 - x^207 - 
    x^206 - x^205 - x^204 - x^203 - x^202 - x^201 - x^200 + x^196 + x^195 + 
    x^194 + x^193 + x^192 + x^191 + x^190 + x^189 - x^185 - x^184 - x^183 - 
    x^182 - x^181 - x^180 - x^179 - x^178 + x^176 + x^175 + x^174 + x^173 + 
    x^172 + x^171 + x^170 + x^169 + x^168 + x^167 - x^165 - x^164 - x^163 - 
    x^162 - x^161 - x^160 - x^159 - x^158 - x^157 - x^156 + x^154 + x^153 + 
    x^152 + x^151 + x^150 + x^149 + x^148 + x^147 + x^146 - x^144 - x^143 - 
    x^142 - x^141 - x^140 - x^139 - x^138 - x^137 - x^136 - x^135 + x^133 + 
    x^132 + x^131 + x^130 + x^129 + x^128 + x^127 + x^126 + x^125 + x^124 - 
    x^122 - x^121 - x^120 - x^119 - x^118 - x^117 - x^116 - x^115 + x^111 + 
    x^110 + x^109 + x^108 + x^107 + x^106 + x^105 + x^104 - x^100 - x^99 - x^98 
    - x^97 - x^96 - x^95 - x^94 - x^93 + x^89 + x^88 + x^87 + x^86 + x^85 + x^84
    - x^78 - x^77 - x^76 - x^75 - x^74 - x^73 + x^67 + x^66 + x^65 + x^64 + x^63
    + x^62 - x^56 - x^55 - x^54 - x^53 + x^45 + x^44 + x^43 + x^42 - x^34 - x^33
    - x^32 - x^31 + x^23 + x^22 - x^12 - x^11 + x + 1
);
eps_on_gens:=
[* 683,
    [ [* 5,
        a
    *] ]
*]
;
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:=
[* 683,
    [ [* 5,
        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:=
[* 683,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 683,
    [ [* 5,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 684,
    [ [* 325, 1 *], [* 533, 1 *], [* 343, -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:=
[* 684,
    [ [* 325,
        1
    *], [* 533,
        a
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        1
    *], [* 533,
        a - 1
    *], [* 343,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 684,
    [ [* 325, 1 *], [* 533, -1 *], [* 343, 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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        1
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        a^3
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        a^3 - 1
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        -1
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        -a^3
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        -a^3 + 1
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        a^2
    *], [* 533,
        1
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        a^2
    *], [* 533,
        a^3
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        a^2
    *], [* 533,
        a^3 - 1
    *], [* 343,
        -1
    *] ]
*]
;
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:=
[* 684,
    [ [* 325,
        a^2
    *], [* 533,
        -1
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        a^2
    *], [* 533,
        -a^3
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        a^2
    *], [* 533,
        -a^3 + 1
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        1
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        a
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        a - 1
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        -1
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        -a
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        a
    *], [* 533,
        -a + 1
    *], [* 343,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 14*x^4 - 48*x^2 + 49
);
eps_on_gens:=
[* 684,
    [ [* 325,
        1/20*(-a^6 - 2*a^4 - 13*a^2 + 12)
    *], [* 533,
        1
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        a - 1
    *], [* 533,
        a
    *], [* 343,
        1
    *] ]
*]
;
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 + 5*x^2 - 4*x + 1
);
eps_on_gens:=
[* 684,
    [ [* 325,
        -2*a^3 + 3*a^2 - 8*a + 3
    *], [* 533,
        -2*a^3 + 3*a^2 - 8*a + 3
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        a - 1
    *], [* 533,
        -1
    *], [* 343,
        1
    *] ]
*]
;
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 + 5*x^2 - 4*x + 1
);
eps_on_gens:=
[* 684,
    [ [* 325,
        -2*a^3 + 3*a^2 - 8*a + 3
    *], [* 533,
        2*a^3 - 3*a^2 + 8*a - 4
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        a - 1
    *], [* 533,
        -a + 1
    *], [* 343,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 684,
    [ [* 325,
        -1
    *], [* 533,
        1
    *], [* 343,
        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:=
[* 684,
    [ [* 325,
        -1
    *], [* 533,
        a
    *], [* 343,
        -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:=
[* 684,
    [ [* 325,
        -1
    *], [* 533,
        a - 1
    *], [* 343,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 684,
    [ [* 325, -1 *], [* 533, -1 *], [* 343, -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:=
[* 685,
    [ [* 551,
        1
    *], [* 412,
        a
    *] ]
*]
;
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:=
[* 685,
    [ [* 551,
        a
    *], [* 412,
        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:=
[* 685,
    [ [* 551,
        a
    *], [* 412,
        -1
    *] ]
*]
;
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:=
[* 685,
    [ [* 551,
        a
    *], [* 412,
        a^17
    *] ]
*]
;
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:=
[* 685,
    [ [* 551,
        a
    *], [* 412,
        -a^17
    *] ]
*]
;
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:=
[* 685,
    [ [* 551,
        a^2
    *], [* 412,
        a^17
    *] ]
*]
;
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:=
[* 685,
    [ [* 551,
        a^4
    *], [* 412,
        a^17
    *] ]
*]
;
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:=
[* 685,
    [ [* 551,
        a
    *], [* 412,
        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:=
[* 685,
    [ [* 551,
        a
    *], [* 412,
        -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:=
[* 685,
    [ [* 551,
        a
    *], [* 412,
        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:=
[* 685,
    [ [* 551,
        a
    *], [* 412,
        -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:=
[* 685,
    [ [* 551,
        -1
    *], [* 412,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^84 + x^77 - x^63 - x^56 + x^42 - x^28 - x^21 + x^7 + 1
);
eps_on_gens:=
[* 686,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1
);
eps_on_gens:=
[* 686,
    [ [* 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:=
[* 686,
    [ [* 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:=
[* 686,
    [ [* 3,
        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:=
[* 686,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 686,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 687,
    [ [* 235, 1 *], [* 230, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^70 - x^66 - x^64 + x^60 + x^58 - x^54 - x^52 + x^48 + x^46 - x^42 - 
    x^40 + 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:=
[* 687,
    [ [* 235,
        a
    *], [* 230,
        1
    *] ]
*]
;
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^33 - x^32 + x^30 + x^29 - x^27 - x^26 + x^24 + x^23 - x^21 - 
    x^20 + 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:=
[* 687,
    [ [* 235,
        a
    *], [* 230,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 687,
    [ [* 235,
        a
    *], [* 230,
        1
    *] ]
*]
;
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^33 - x^32 + x^30 + x^29 - x^27 - x^26 + x^24 + x^23 - x^21 - 
    x^20 + 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:=
[* 687,
    [ [* 235,
        a^2
    *], [* 230,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 687,
    [ [* 235,
        a
    *], [* 230,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 687,
    [ [* 235,
        a^2
    *], [* 230,
        -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:=
[* 687,
    [ [* 235,
        a
    *], [* 230,
        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:=
[* 687,
    [ [* 235,
        a
    *], [* 230,
        -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:=
[* 687,
    [ [* 235,
        a
    *], [* 230,
        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:=
[* 687,
    [ [* 235,
        a - 1
    *], [* 230,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 687,
    [ [* 235,
        -1
    *], [* 230,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 688,
    [ [* 517, 1 *], [* 433, 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:=
[* 688,
    [ [* 517,
        a
    *], [* 433,
        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:=
[* 688,
    [ [* 517, -1 *], [* 433, 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:=
[* 688,
    [ [* 517,
        1
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        a^21
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        -1
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        1
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        a^21
    *], [* 433,
        a^4
    *], [* 431,
        -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^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 688,
    [ [* 517,
        -1
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        1
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        a^7
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        -1
    *], [* 433,
        a
    *], [* 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:=
[* 688,
    [ [* 517,
        1
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        a^7
    *], [* 433,
        a^4
    *], [* 431,
        -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:=
[* 688,
    [ [* 517,
        -1
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        1
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        a^3
    *], [* 433,
        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:=
[* 688,
    [ [* 517,
        -1
    *], [* 433,
        a
    *], [* 431,
        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:=
[* 688,
    [ [* 517,
        1
    *], [* 433,
        -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^4 - x^2 + 1
);
eps_on_gens:=
[* 688,
    [ [* 517,
        a^3
    *], [* 433,
        a^2 - 1
    *], [* 431,
        -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:=
[* 688,
    [ [* 517,
        -1
    *], [* 433,
        a - 1
    *], [* 431,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
7
;
C:=Rationals();
eps_on_gens:=
[* 688,
    [ [* 517,
        1
    *], [* 433,
        -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:=
[* 688,
    [ [* 517,
        a
    *], [* 433,
        -1
    *], [* 431,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 688,
    [ [* 517, -1 *], [* 433, -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:=
[* 689,
    [ [* 54,
        a
    *], [* 638,
        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:=
[* 689,
    [ [* 54,
        a
    *], [* 638,
        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:=
[* 689,
    [ [* 54,
        1
    *], [* 638,
        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^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:=
[* 689,
    [ [* 54,
        a^26
    *], [* 638,
        a^3
    *] ]
*]
;
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:=
[* 689,
    [ [* 54,
        a^26 - 1
    *], [* 638,
        a^3
    *] ]
*]
;
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:=
[* 689,
    [ [* 54,
        -1
    *], [* 638,
        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^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:=
[* 689,
    [ [* 54,
        a^13
    *], [* 638,
        a^6
    *] ]
*]
;
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:=
[* 689,
    [ [* 54,
        a^13
    *], [* 638,
        a^2
    *] ]
*]
;
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:=
[* 689,
    [ [* 54,
        a^13
    *], [* 638,
        a^12
    *] ]
*]
;
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:=
[* 689,
    [ [* 54,
        a^13
    *], [* 638,
        a^4
    *] ]
*]
;
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:=
[* 689,
    [ [* 54,
        1
    *], [* 638,
        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:=
[* 689,
    [ [* 54,
        a^2
    *], [* 638,
        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:=
[* 689,
    [ [* 54,
        a^2 - 1
    *], [* 638,
        a^3
    *] ]
*]
;
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:=
[* 689,
    [ [* 54,
        -1
    *], [* 638,
        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:=
[* 689,
    [ [* 54,
        a
    *], [* 638,
        -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:=
[* 689,
    [ [* 54,
        a
    *], [* 638,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 690,
    [ [* 277, 1 *], [* 461, -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:=
[* 690,
    [ [* 277,
        a
    *], [* 461,
        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:=
[* 690,
    [ [* 277, -1 *], [* 461, -1 *], [* 511, 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:=
[* 690,
    [ [* 277,
        1
    *], [* 461,
        1
    *], [* 511,
        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:=
[* 690,
    [ [* 277,
        a^11
    *], [* 461,
        -1
    *], [* 511,
        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:=
[* 690,
    [ [* 277,
        -1
    *], [* 461,
        1
    *], [* 511,
        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:=
[* 690,
    [ [* 277,
        1
    *], [* 461,
        -1
    *], [* 511,
        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^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 690,
    [ [* 277,
        a^11
    *], [* 461,
        1
    *], [* 511,
        a^4
    *] ]
*]
;
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:=
[* 690,
    [ [* 277,
        -1
    *], [* 461,
        -1
    *], [* 511,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 690,
    [ [* 277, 1 *], [* 461, 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:=
[* 690,
    [ [* 277,
        a
    *], [* 461,
        -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:=
[* 690,
    [ [* 277, -1 *], [* 461, 1 *], [* 511, -1 *] ]
*]
;
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^174 + x^171 - x^170 + x^169 - x^161 + x^160 - x^159 - x^156 + 
    x^155 - x^154 + x^153 - x^152 + x^151 + x^148 - x^147 + 2*x^146 - x^145 + 
    x^144 + x^141 - x^140 + x^139 - x^138 + x^137 - x^136 - x^133 + x^132 - 
    2*x^131 + x^130 - x^129 - x^126 + x^125 - x^124 + x^123 - x^122 + x^121 + 
    x^118 - x^117 + 2*x^116 - x^115 + x^114 + x^111 - x^110 + x^109 - x^108 - 
    x^105 - x^103 - x^101 - x^99 - x^96 + x^95 - x^94 + x^93 + x^90 + x^88 + 
    x^86 + x^83 - x^82 + x^81 - x^80 - x^77 - x^75 - x^73 - x^71 - x^68 + x^67 -
    x^66 + x^65 + x^62 - x^61 + 2*x^60 - x^59 + x^58 + x^55 - x^54 + x^53 - x^52
    + x^51 - x^50 - x^47 + x^46 - 2*x^45 + x^44 - x^43 - x^40 + x^39 - x^38 + 
    x^37 - x^36 + x^35 + x^32 - x^31 + 2*x^30 - x^29 + x^28 + x^25 - x^24 + x^23
    - 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:=
[* 691,
    [ [* 3,
        a
    *] ]
*]
;
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^83 - x^82 + x^78 + x^77 - x^73 - x^72 + x^68 + x^67 - x^65 - 
    x^64 - x^63 - x^62 + x^60 + x^59 + x^58 + x^57 - x^55 - x^54 - x^53 - x^52 +
    x^50 + x^49 + x^48 + x^47 - x^45 - x^44 - x^43 + x^41 + x^40 + x^39 + x^38 -
    x^36 - x^35 - x^34 - x^33 + x^31 + x^30 + x^29 + x^28 - x^26 - x^25 - x^24 -
    x^23 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 691,
    [ [* 3,
        a
    *] ]
*]
;
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:=
[* 691,
    [ [* 3,
        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:=
[* 691,
    [ [* 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:=
[* 691,
    [ [* 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:=
[* 691,
    [ [* 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:=
[* 691,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 691,
    [ [* 3,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 692,
    [ [* 521, 1 *], [* 347, -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:=
[* 692,
    [ [* 521,
        a
    *], [* 347,
        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:=
[* 692,
    [ [* 521,
        a
    *], [* 347,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 692,
    [ [* 521,
        a^2
    *], [* 347,
        -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:=
[* 692,
    [ [* 521,
        a
    *], [* 347,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 692,
    [ [* 521,
        -1
    *], [* 347,
        -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:=
[* 693,
    [ [* 155,
        a
    *], [* 442,
        1
    *], [* 199,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 693,
    [ [* 155, -1 *], [* 442, 1 *], [* 199, 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:=
[* 693,
    [ [* 155,
        1
    *], [* 442,
        1
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        a - 1
    *], [* 442,
        1
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -a
    *], [* 442,
        1
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        a
    *], [* 442,
        1
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -1
    *], [* 442,
        1
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -a + 1
    *], [* 442,
        1
    *], [* 199,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 693,
    [ [* 155, 1 *], [* 442, 1 *], [* 199, -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:=
[* 693,
    [ [* 155,
        a - 1
    *], [* 442,
        1
    *], [* 199,
        -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:=
[* 693,
    [ [* 155,
        1
    *], [* 442,
        a
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        a^5 - 1
    *], [* 442,
        a^3
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        a^5
    *], [* 442,
        a^3
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -1
    *], [* 442,
        a^3
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -a^5 + 1
    *], [* 442,
        a^3
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        1
    *], [* 442,
        a^3
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        a^5 - 1
    *], [* 442,
        a^3
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -a^5
    *], [* 442,
        a^3
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        a^5
    *], [* 442,
        a^3
    *], [* 199,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 4*x^14 + 12*x^12 + 32*x^10 + 150*x^8 - 32*x^6 + 97*x^4 + 16*x^2 + 1
);
eps_on_gens:=
[* 693,
    [ [* 155,
        -1
    *], [* 442,
        1/310575*(-50844*a^14 - 202033*a^12 - 603428*a^10 - 1604310*a^8 - 
            7568740*a^6 + 1885163*a^4 - 4719264*a^2 - 473204)
    *], [* 199,
        -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:=
[* 693,
    [ [* 155,
        a^5
    *], [* 442,
        a^6
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -1
    *], [* 442,
        a^2
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        1
    *], [* 442,
        a^6
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        a^5 - 1
    *], [* 442,
        a^6
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -a^5
    *], [* 442,
        a^6
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        a^5
    *], [* 442,
        a^6
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -1
    *], [* 442,
        a^6
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -a^5 + 1
    *], [* 442,
        a^6
    *], [* 199,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
3
;
C<a>:=NumberField(
x^8 + 10*x^4 + 25*x^2 + 25
);
eps_on_gens:=
[* 693,
    [ [* 155,
        1
    *], [* 442,
        1/55*(5*a^6 - 4*a^4 + 40*a^2 + 60)
    *], [* 199,
        -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:=
[* 693,
    [ [* 155,
        a^5 - 1
    *], [* 442,
        a^6
    *], [* 199,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 693,
    [ [* 155, 1 *], [* 442, -1 *], [* 199, 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:=
[* 693,
    [ [* 155,
        a - 1
    *], [* 442,
        -1
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        a
    *], [* 442,
        -1
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -1
    *], [* 442,
        -1
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        -a + 1
    *], [* 442,
        -1
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        1
    *], [* 442,
        -1
    *], [* 199,
        a - 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:=
[* 693,
    [ [* 155,
        -a^2
    *], [* 442,
        -1
    *], [* 199,
        -a^2
    *] ]
*]
;
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:=
[* 693,
    [ [* 155,
        -a^2
    *], [* 442,
        -1
    *], [* 199,
        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:=
[* 693,
    [ [* 155,
        a
    *], [* 442,
        -1
    *], [* 199,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 693,
    [ [* 155,
        -1
    *], [* 442,
        -1
    *], [* 199,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 694,
    [ [* 349,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 694,
    [ [* 349, -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:=
[* 695,
    [ [* 557,
        a
    *], [* 141,
        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:=
[* 695,
    [ [* 557,
        1
    *], [* 141,
        a
    *] ]
*]
;
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:=
[* 695,
    [ [* 557,
        -1
    *], [* 141,
        a
    *] ]
*]
;
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:=
[* 695,
    [ [* 557,
        a^69
    *], [* 141,
        a^4
    *] ]
*]
;
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:=
[* 695,
    [ [* 557,
        1
    *], [* 141,
        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:=
[* 695,
    [ [* 557,
        -1
    *], [* 141,
        a
    *] ]
*]
;
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:=
[* 695,
    [ [* 557,
        a^23
    *], [* 141,
        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:=
[* 695,
    [ [* 557,
        1
    *], [* 141,
        a
    *] ]
*]
;
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:=
[* 695,
    [ [* 557,
        -1
    *], [* 141,
        a
    *] ]
*]
;
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:=
[* 695,
    [ [* 557,
        a^3
    *], [* 141,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 695,
    [ [* 557, 1 *], [* 141, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
13
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 695,
    [ [* 557,
        -1
    *], [* 141,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 696,
    [ [* 553, 1 *], [* 175, -1 *], [* 233, 1 *], [* 349, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 696,
    [ [* 553, 1 *], [* 175, -1 *], [* 233, 1 *], [* 349, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 696,
    [ [* 553, 1 *], [* 175, 1 *], [* 233, -1 *], [* 349, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 696,
    [ [* 553, 1 *], [* 175, 1 *], [* 233, -1 *], [* 349, -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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        1
    *], [* 233,
        1
    *], [* 349,
        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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        1
    *], [* 233,
        1
    *], [* 349,
        -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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        -1
    *], [* 233,
        -1
    *], [* 349,
        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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        -1
    *], [* 233,
        -1
    *], [* 349,
        -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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        -1
    *], [* 233,
        1
    *], [* 349,
        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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        -1
    *], [* 233,
        1
    *], [* 349,
        -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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        1
    *], [* 233,
        -1
    *], [* 349,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 696,
    [ [* 553,
        a^10
    *], [* 175,
        1
    *], [* 233,
        -1
    *], [* 349,
        -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:=
[* 696,
    [ [* 553,
        a^2
    *], [* 175,
        -1
    *], [* 233,
        1
    *], [* 349,
        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:=
[* 696,
    [ [* 553,
        a^2
    *], [* 175,
        -1
    *], [* 233,
        1
    *], [* 349,
        -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:=
[* 696,
    [ [* 553,
        a^2
    *], [* 175,
        1
    *], [* 233,
        -1
    *], [* 349,
        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:=
[* 696,
    [ [* 553,
        a^2
    *], [* 175,
        1
    *], [* 233,
        -1
    *], [* 349,
        -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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        1
    *], [* 233,
        1
    *], [* 349,
        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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        1
    *], [* 233,
        1
    *], [* 349,
        -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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        -1
    *], [* 233,
        -1
    *], [* 349,
        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:=
[* 696,
    [ [* 553,
        a
    *], [* 175,
        -1
    *], [* 233,
        -1
    *], [* 349,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 696,
    [ [* 553, -1 *], [* 175, -1 *], [* 233, 1 *], [* 349, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 696,
    [ [* 553, -1 *], [* 175, -1 *], [* 233, 1 *], [* 349, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 696,
    [ [* 553, -1 *], [* 175, 1 *], [* 233, -1 *], [* 349, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 696,
    [ [* 553,
        -1
    *], [* 175,
        1
    *], [* 233,
        -1
    *], [* 349,
        -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:=
[* 697,
    [ [* 411,
        a
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        1
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        a^5
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        a^10
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        a^15
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        -1
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        -a^5
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        -a^10
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        -a^15
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        a^5
    *], [* 375,
        a^4
    *] ]
*]
;
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:=
[* 697,
    [ [* 411,
        a^15
    *], [* 375,
        a^4
    *] ]
*]
;
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:=
[* 697,
    [ [* 411,
        a^5
    *], [* 375,
        a^8
    *] ]
*]
;
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:=
[* 697,
    [ [* 411,
        1
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        a
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        a^2
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        a^3
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        -1
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        -a
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        -a^2
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        -a^3
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        a^5
    *], [* 375,
        a^16
    *] ]
*]
;
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:=
[* 697,
    [ [* 411,
        a
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        a^3
    *], [* 375,
        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:=
[* 697,
    [ [* 411,
        a
    *], [* 375,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^112 + x^110 - x^106 - x^104 + x^100 + x^98 - x^94 - x^92 + 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^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:=
[* 698,
    [ [* 351,
        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:=
[* 698,
    [ [* 351,
        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:=
[* 698,
    [ [* 351,
        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:=
[* 698,
    [ [* 351,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 699,
    [ [* 469, 1 *], [* 467, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^112 - x^108 + x^104 - x^100 + x^96 - x^92 + 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:=
[* 699,
    [ [* 469,
        a
    *], [* 467,
        1
    *] ]
*]
;
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:=
[* 699,
    [ [* 469,
        a
    *], [* 467,
        -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:=
[* 699,
    [ [* 469,
        a
    *], [* 467,
        -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:=
[* 699,
    [ [* 469,
        a^2
    *], [* 467,
        -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:=
[* 699,
    [ [* 469,
        a
    *], [* 467,
        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:=
[* 699,
    [ [* 469,
        a
    *], [* 467,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 699,
    [ [* 469,
        -1
    *], [* 467,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 700,
    [ [* 101, 1 *], [* 477, 1 *], [* 351, -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:=
[* 700,
    [ [* 101,
        1
    *], [* 477,
        a
    *], [* 351,
        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:=
[* 700,
    [ [* 101,
        1
    *], [* 477,
        a
    *], [* 351,
        -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:=
[* 700,
    [ [* 101,
        1
    *], [* 477,
        a^2
    *], [* 351,
        -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:=
[* 700,
    [ [* 101,
        1
    *], [* 477,
        a
    *], [* 351,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 700,
    [ [* 101, 1 *], [* 477, -1 *], [* 351, -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:=
[* 700,
    [ [* 101,
        a
    *], [* 477,
        1
    *], [* 351,
        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:=
[* 700,
    [ [* 101,
        a^10
    *], [* 477,
        a^3
    *], [* 351,
        -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:=
[* 700,
    [ [* 101,
        a^5
    *], [* 477,
        a^3
    *], [* 351,
        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:=
[* 700,
    [ [* 101,
        a^5
    *], [* 477,
        a^6
    *], [* 351,
        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:=
[* 700,
    [ [* 101,
        a^4
    *], [* 477,
        -a^6
    *], [* 351,
        -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:=
[* 700,
    [ [* 101,
        a
    *], [* 477,
        -1
    *], [* 351,
        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:=
[* 700,
    [ [* 101,
        a^2 - 1
    *], [* 477,
        1
    *], [* 351,
        -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:=
[* 700,
    [ [* 101,
        a^10 - 1
    *], [* 477,
        a^3
    *], [* 351,
        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:=
[* 700,
    [ [* 101,
        a^5 - 1
    *], [* 477,
        a^3
    *], [* 351,
        -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:=
[* 700,
    [ [* 101,
        a^5 - 1
    *], [* 477,
        a^6
    *], [* 351,
        -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:=
[* 700,
    [ [* 101,
        a^2 - 1
    *], [* 477,
        a^3
    *], [* 351,
        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:=
[* 700,
    [ [* 101,
        a - 1
    *], [* 477,
        -1
    *], [* 351,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 700,
    [ [* 101,
        -1
    *], [* 477,
        1
    *], [* 351,
        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:=
[* 700,
    [ [* 101,
        -1
    *], [* 477,
        a
    *], [* 351,
        -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:=
[* 700,
    [ [* 101,
        -1
    *], [* 477,
        a
    *], [* 351,
        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:=
[* 700,
    [ [* 101,
        -1
    *], [* 477,
        a^2
    *], [* 351,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 12*x^6 + 56*x^4 + 72*x^2 + 100
);
eps_on_gens:=
[* 700,
    [ [* 101,
        -1
    *], [* 477,
        1/70*(-a^6 - 15*a^4 - 66*a^2 - 60)
    *], [* 351,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 700,
    [ [* 101, -1 *], [* 477, -1 *], [* 351, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 + x^230 - x^190 - x^180 - x^170 - x^160 + x^140 + x^130 + x^120 + x^110 + 
    x^100 - x^80 - x^70 - x^60 - x^50 + x^10 + 1
);
eps_on_gens:=
[* 701,
    [ [* 2,
        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:=
[* 701,
    [ [* 2,
        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:=
[* 701,
    [ [* 2,
        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:=
[* 701,
    [ [* 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^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 701,
    [ [* 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:=
[* 701,
    [ [* 2,
        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:=
[* 702,
    [ [* 379,
        1
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        1
    *], [* 677,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 702,
    [ [* 379, 1 *], [* 677, -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:=
[* 702,
    [ [* 379,
        a
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a^3
    *], [* 677,
        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^6 + 1
);
eps_on_gens:=
[* 702,
    [ [* 379,
        a^3
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a
    *], [* 677,
        -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^3 + 1
);
eps_on_gens:=
[* 702,
    [ [* 379,
        a^3
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a^3
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a
    *], [* 677,
        -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:=
[* 702,
    [ [* 379,
        a
    *], [* 677,
        -a + 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:=
[* 702,
    [ [* 379,
        a
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a^9
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a^3
    *], [* 677,
        a^2 - 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:=
[* 702,
    [ [* 379,
        a^3 - 1
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a - 1
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a^3 - 1
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        a - 1
    *], [* 677,
        -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:=
[* 702,
    [ [* 379,
        a - 1
    *], [* 677,
        -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:=
[* 702,
    [ [* 379,
        -1
    *], [* 677,
        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:=
[* 702,
    [ [* 379,
        -1
    *], [* 677,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 702,
    [ [* 379, -1 *], [* 677, -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:=
[* 703,
    [ [* 39,
        1
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        1
    *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 703,
    [ [* 39, 1 *], [* 667, -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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        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^6 + 1
);
eps_on_gens:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        a^8
    *] ]
*]
;
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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        a^10 - 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^6 + 1
);
eps_on_gens:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -a^10
    *] ]
*]
;
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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -a^8 + 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^3 + 1
);
eps_on_gens:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        a^5
    *] ]
*]
;
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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        a^4 - 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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -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^3 + 1
);
eps_on_gens:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -a^5 + 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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a^3
    *], [* 667,
        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^6 + 1
);
eps_on_gens:=
[* 703,
    [ [* 39,
        a^3
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -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^3 + 1
);
eps_on_gens:=
[* 703,
    [ [* 39,
        a^2
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a^2
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a^2
    *], [* 667,
        a^5
    *] ]
*]
;
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:=
[* 703,
    [ [* 39,
        a^2
    *], [* 667,
        a^4 - 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:=
[* 703,
    [ [* 39,
        a^2
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        a^2
    *], [* 667,
        -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^3 + 1
);
eps_on_gens:=
[* 703,
    [ [* 39,
        a^2
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        a^2
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        a^2
    *], [* 667,
        -a^5 + 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^3 + 1
);
eps_on_gens:=
[* 703,
    [ [* 39,
        a^3
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a^3
    *], [* 667,
        a^5
    *] ]
*]
;
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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        -a + 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:=
[* 703,
    [ [* 39,
        a
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a^9
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a^3
    *], [* 667,
        a^2 - 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:=
[* 703,
    [ [* 39,
        a^3 - 1
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a - 1
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        a^3 - 1
    *], [* 667,
        a^5
    *] ]
*]
;
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:=
[* 703,
    [ [* 39,
        a - 1
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        a - 1
    *], [* 667,
        -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:=
[* 703,
    [ [* 39,
        -1
    *], [* 667,
        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:=
[* 703,
    [ [* 39,
        -1
    *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 703,
    [ [* 39,
        -1
    *], [* 667,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 704,
    [ [* 321, 1 *], [* 133, 1 *], [* 639, -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:=
[* 704,
    [ [* 321,
        1
    *], [* 133,
        a
    *], [* 639,
        -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:=
[* 704,
    [ [* 321,
        1
    *], [* 133,
        a
    *], [* 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:=
[* 704,
    [ [* 321,
        1
    *], [* 133,
        a
    *], [* 639,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 704,
    [ [* 321, 1 *], [* 133, -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:=
[* 704,
    [ [* 321,
        a
    *], [* 133,
        1
    *], [* 639,
        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:=
[* 704,
    [ [* 321,
        a^8
    *], [* 133,
        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^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 704,
    [ [* 321,
        a^4
    *], [* 133,
        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:=
[* 704,
    [ [* 321,
        a^2
    *], [* 133,
        a^5
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 5*x^6 + 10*x^4 + 25
);
eps_on_gens:=
[* 704,
    [ [* 321,
        1/55*(-2*a^6 - 14*a^4 - 15*a^2 + 25)
    *], [* 133,
        -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:=
[* 704,
    [ [* 321,
        a^2
    *], [* 133,
        1
    *], [* 639,
        -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:=
[* 704,
    [ [* 321,
        a^16
    *], [* 133,
        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^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 704,
    [ [* 321,
        a^8
    *], [* 133,
        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:=
[* 704,
    [ [* 321,
        a^4
    *], [* 133,
        a^5
    *], [* 639,
        -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:=
[* 704,
    [ [* 321,
        a^2
    *], [* 133,
        -1
    *], [* 639,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 704,
    [ [* 321, -1 *], [* 133, 1 *], [* 639, 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:=
[* 704,
    [ [* 321,
        -1
    *], [* 133,
        a
    *], [* 639,
        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:=
[* 704,
    [ [* 321,
        -1
    *], [* 133,
        a
    *], [* 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:=
[* 704,
    [ [* 321,
        -1
    *], [* 133,
        a
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 704,
    [ [* 321,
        -1
    *], [* 133,
        -1
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 705,
    [ [* 142, 1 *], [* 616, 1 *], [* 236, -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:=
[* 705,
    [ [* 142,
        a
    *], [* 616,
        1
    *], [* 236,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 705,
    [ [* 142, -1 *], [* 616, 1 *], [* 236, -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:=
[* 705,
    [ [* 142,
        1
    *], [* 616,
        a
    *], [* 236,
        1
    *] ]
*]
;
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:=
[* 705,
    [ [* 142,
        a^23
    *], [* 616,
        a^2
    *], [* 236,
        -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:=
[* 705,
    [ [* 142,
        -1
    *], [* 616,
        a
    *], [* 236,
        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:=
[* 705,
    [ [* 142,
        1
    *], [* 616,
        a^2
    *], [* 236,
        -1
    *] ]
*]
;
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:=
[* 705,
    [ [* 142,
        a^23
    *], [* 616,
        a^4
    *], [* 236,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
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:=
[* 705,
    [ [* 142,
        -1
    *], [* 616,
        a^2
    *], [* 236,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 705,
    [ [* 142, 1 *], [* 616, -1 *], [* 236, 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:=
[* 705,
    [ [* 142,
        a
    *], [* 616,
        -1
    *], [* 236,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 705,
    [ [* 142, -1 *], [* 616, -1 *], [* 236, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 - x^144 + x^128 - x^112 + x^96 - x^80 + x^64 - x^48 + x^32 - x^16 + 1
);
eps_on_gens:=
[* 706,
    [ [* 3,
        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:=
[* 706,
    [ [* 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:=
[* 707,
    [ [* 304,
        a
    *], [* 204,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 707,
    [ [* 304, -1 *], [* 204, 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:=
[* 707,
    [ [* 304,
        1
    *], [* 204,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^70 - x^50 - x^40 - x^30 + x^10 + 1
);
eps_on_gens:=
[* 707,
    [ [* 304,
        a^50 - 1
    *], [* 204,
        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^35 - x^25 - x^20 - x^15 + x^5 + 1
);
eps_on_gens:=
[* 707,
    [ [* 304,
        a^25
    *], [* 204,
        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^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 707,
    [ [* 304,
        -1
    *], [* 204,
        a
    *] ]
*]
;
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:=
[* 707,
    [ [* 304,
        a^25
    *], [* 204,
        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^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 707,
    [ [* 304,
        -1
    *], [* 204,
        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:=
[* 707,
    [ [* 304,
        1
    *], [* 204,
        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:=
[* 707,
    [ [* 304,
        a^10 - 1
    *], [* 204,
        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:=
[* 707,
    [ [* 304,
        a^5
    *], [* 204,
        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:=
[* 707,
    [ [* 304,
        -1
    *], [* 204,
        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:=
[* 707,
    [ [* 304,
        a^5
    *], [* 204,
        a^6
    *] ]
*]
;
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:=
[* 707,
    [ [* 304,
        -1
    *], [* 204,
        -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:=
[* 707,
    [ [* 304,
        1
    *], [* 204,
        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:=
[* 707,
    [ [* 304,
        a^2 - 1
    *], [* 204,
        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:=
[* 707,
    [ [* 304,
        a
    *], [* 204,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 707,
    [ [* 304, -1 *], [* 204, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 708,
    [ [* 61, 1 *], [* 473, 1 *], [* 355, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 708,
    [ [* 61, 1 *], [* 473, -1 *], [* 355, 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:=
[* 708,
    [ [* 61,
        a
    *], [* 473,
        1
    *], [* 355,
        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:=
[* 708,
    [ [* 61,
        a
    *], [* 473,
        -1
    *], [* 355,
        -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:=
[* 708,
    [ [* 61,
        a^2
    *], [* 473,
        1
    *], [* 355,
        -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:=
[* 708,
    [ [* 61,
        a^2
    *], [* 473,
        -1
    *], [* 355,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 708,
    [ [* 61, -1 *], [* 473, 1 *], [* 355, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 708,
    [ [* 61, -1 *], [* 473, -1 *], [* 355, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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^196 + x^194 - x^190 - x^188 + x^184 + x^182 - x^178 - 
    x^176 + x^172 + x^170 - x^166 - x^164 + x^160 + x^158 - x^154 - x^152 + 
    x^148 + x^146 - x^142 - x^140 + x^136 + x^134 - x^130 - x^128 + x^124 + 
    x^122 - x^118 - 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:=
[* 709,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 709,
    [ [* 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:=
[* 709,
    [ [* 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:=
[* 709,
    [ [* 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:=
[* 710,
    [ [* 427,
        a
    *], [* 291,
        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:=
[* 710,
    [ [* 427,
        1
    *], [* 291,
        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:=
[* 710,
    [ [* 427,
        -1
    *], [* 291,
        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:=
[* 710,
    [ [* 427,
        a^35
    *], [* 291,
        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:=
[* 710,
    [ [* 427,
        1
    *], [* 291,
        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:=
[* 710,
    [ [* 427,
        -1
    *], [* 291,
        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:=
[* 710,
    [ [* 427,
        1
    *], [* 291,
        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:=
[* 710,
    [ [* 427,
        -1
    *], [* 291,
        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:=
[* 710,
    [ [* 427,
        a^7
    *], [* 291,
        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:=
[* 710,
    [ [* 427,
        a^5
    *], [* 291,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 710,
    [ [* 427, 1 *], [* 291, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 710,
    [ [* 427, -1 *], [* 291, -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:=
[* 711,
    [ [* 82,
        1
    *], [* 317,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 711,
    [ [* 82, 1 *], [* 317, -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:=
[* 711,
    [ [* 82,
        a
    *], [* 317,
        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:=
[* 711,
    [ [* 82,
        a
    *], [* 317,
        a^13 - 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:=
[* 711,
    [ [* 82,
        a
    *], [* 317,
        -a^13
    *] ]
*]
;
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:=
[* 711,
    [ [* 82,
        a^2
    *], [* 317,
        a^13
    *] ]
*]
;
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:=
[* 711,
    [ [* 82,
        a^2
    *], [* 317,
        -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:=
[* 711,
    [ [* 82,
        a^2
    *], [* 317,
        -a^13 + 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:=
[* 711,
    [ [* 82,
        a
    *], [* 317,
        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:=
[* 711,
    [ [* 82,
        a^3
    *], [* 317,
        a^13 - 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:=
[* 711,
    [ [* 82,
        a^6
    *], [* 317,
        a^13
    *] ]
*]
;
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:=
[* 711,
    [ [* 82,
        a^2
    *], [* 317,
        -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:=
[* 711,
    [ [* 82,
        a
    *], [* 317,
        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:=
[* 711,
    [ [* 82,
        a
    *], [* 317,
        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:=
[* 711,
    [ [* 82,
        a
    *], [* 317,
        -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:=
[* 711,
    [ [* 82,
        a - 1
    *], [* 317,
        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:=
[* 711,
    [ [* 82,
        a - 1
    *], [* 317,
        -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:=
[* 711,
    [ [* 82,
        a - 1
    *], [* 317,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 711,
    [ [* 82,
        -1
    *], [* 317,
        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:=
[* 711,
    [ [* 82,
        -1
    *], [* 317,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 712,
    [ [* 537, 1 *], [* 357, 1 *], [* 535, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 712,
    [ [* 537, 1 *], [* 357, -1 *], [* 535, -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:=
[* 712,
    [ [* 537,
        a
    *], [* 357,
        1
    *], [* 535,
        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:=
[* 712,
    [ [* 537,
        a
    *], [* 357,
        -1
    *], [* 535,
        1
    *] ]
*]
;
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:=
[* 712,
    [ [* 537,
        a
    *], [* 357,
        1
    *], [* 535,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 712,
    [ [* 537,
        a
    *], [* 357,
        -1
    *], [* 535,
        -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:=
[* 712,
    [ [* 537,
        a
    *], [* 357,
        1
    *], [* 535,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 712,
    [ [* 537,
        a
    *], [* 357,
        -1
    *], [* 535,
        -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:=
[* 712,
    [ [* 537,
        a^2
    *], [* 357,
        1
    *], [* 535,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 712,
    [ [* 537,
        a^2
    *], [* 357,
        -1
    *], [* 535,
        -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:=
[* 712,
    [ [* 537,
        a
    *], [* 357,
        1
    *], [* 535,
        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:=
[* 712,
    [ [* 537,
        a
    *], [* 357,
        -1
    *], [* 535,
        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:=
[* 712,
    [ [* 537,
        a
    *], [* 357,
        1
    *], [* 535,
        -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:=
[* 712,
    [ [* 537,
        a
    *], [* 357,
        -1
    *], [* 535,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 712,
    [ [* 537, -1 *], [* 357, 1 *], [* 535, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 712,
    [ [* 537,
        -1
    *], [* 357,
        -1
    *], [* 535,
        -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:=
[* 713,
    [ [* 373,
        a
    *], [* 530,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 713,
    [ [* 373, -1 *], [* 530, 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:=
[* 713,
    [ [* 373,
        1
    *], [* 530,
        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^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 
    2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + 
    x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + 
    x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 713,
    [ [* 373,
        a^30
    *], [* 530,
        a^11
    *] ]
*]
;
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^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 
    2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + 
    x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + 
    x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 713,
    [ [* 373,
        a^15
    *], [* 530,
        a^22
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + 6*x^22 - 2*x^21 + 27*x^20 - 18*x^19 + 111*x^18 - 108*x^17 + 456*x^16 - 
    404*x^15 + 1062*x^14 - 1230*x^13 + 2592*x^12 - 3204*x^11 + 5589*x^10 - 
    6560*x^9 + 8397*x^8 - 7020*x^7 + 5315*x^6 - 2556*x^5 + 1167*x^4 - 294*x^3 + 
    162*x^2 + 21*x + 1
);
eps_on_gens:=
[* 713,
    [ [* 373,
        -1
    *], [* 530,
        1/449267866668745026649938294858995*(-16582969078551746542414053391869*\
        a^23 - 5041729204458626537575324959906*a^22 - 
            99568874797513121290581987861068*a^21 + 
            3963395644722993621935542137381*a^20 - 
            437531167284110078508377541283311*a^19 + 
            168948496646520796537175029513879*a^18 - 
            1750622461310351681969816389607172*a^17 + 
            1260534044057725659791368209610284*a^16 - 
            7029671907156808454086021002814676*a^15 + 
            4517437531361131534198454483130765*a^14 - 
            15662166018339682789755197078168652*a^13 + 
            15501730330494777772293210864636766*a^12 - 
            37047304693983366756052158495718638*a^11 + 
            41093085804805537719336942469892355*a^10 - 
            77478195585720030759582862322314676*a^9 + 
            82974530220619320551474000244610290*a^8 - 
            108718637319831897004335443543669895*a^7 + 
            78922999549573196363410825679116802*a^6 - 
            57578344800515168508813413050075557*a^5 + 
            21961658022811503752215415254265475*a^4 - 
            10459731974703917634813021597785649*a^3 + 
            1900812300158978235648082226198583*a^2 - 
            1972314405132156897761421624187956*a - 
            552061859258435918004265268966768)
    *] ]
*]
;
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:=
[* 713,
    [ [* 373,
        1
    *], [* 530,
        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:=
[* 713,
    [ [* 373,
        a^10
    *], [* 530,
        a^11
    *] ]
*]
;
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:=
[* 713,
    [ [* 373,
        1
    *], [* 530,
        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:=
[* 713,
    [ [* 373,
        a^6
    *], [* 530,
        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:=
[* 713,
    [ [* 373,
        a^5
    *], [* 530,
        a^22
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 2*x^7 + 3*x^6 + x^5 + x^3 + 23*x^2 + 3*x + 1
);
eps_on_gens:=
[* 713,
    [ [* 373,
        -1
    *], [* 530,
        1/310*(43*a^7 - 99*a^6 + 151*a^5 - 25*a^4 + 40*a^3 - 52*a^2 + 911*a - 
            194)
    *] ]
*]
;
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:=
[* 713,
    [ [* 373,
        a^3
    *], [* 530,
        a^11 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - 3*x^5 + 7*x^3 + 3*x^2 - 18*x + 19
);
eps_on_gens:=
[* 713,
    [ [* 373,
        -1
    *], [* 530,
        1/57*(4*a^5 - 9*a^4 - 2*a^3 + 17*a^2 + 39*a - 76)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 713,
    [ [* 373, 1 *], [* 530, -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:=
[* 713,
    [ [* 373,
        a^2
    *], [* 530,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 714,
    [ [* 409, 1 *], [* 547, 1 *], [* 239, -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:=
[* 714,
    [ [* 409,
        a
    *], [* 547,
        1
    *], [* 239,
        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:=
[* 714,
    [ [* 409,
        a - 1
    *], [* 547,
        1
    *], [* 239,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 714,
    [ [* 409, -1 *], [* 547, 1 *], [* 239, 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:=
[* 714,
    [ [* 409,
        1
    *], [* 547,
        a
    *], [* 239,
        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:=
[* 714,
    [ [* 409,
        a^8
    *], [* 547,
        a^3
    *], [* 239,
        -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:=
[* 714,
    [ [* 409,
        a^8 - 1
    *], [* 547,
        a^3
    *], [* 239,
        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:=
[* 714,
    [ [* 409,
        -1
    *], [* 547,
        a
    *], [* 239,
        -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:=
[* 714,
    [ [* 409,
        1
    *], [* 547,
        a
    *], [* 239,
        -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:=
[* 714,
    [ [* 409,
        a^4
    *], [* 547,
        a^3
    *], [* 239,
        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:=
[* 714,
    [ [* 409,
        a^4 - 1
    *], [* 547,
        a^3
    *], [* 239,
        -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:=
[* 714,
    [ [* 409,
        -1
    *], [* 547,
        a
    *], [* 239,
        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:=
[* 714,
    [ [* 409,
        1
    *], [* 547,
        a
    *], [* 239,
        -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:=
[* 714,
    [ [* 409,
        a^2
    *], [* 547,
        a^3
    *], [* 239,
        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:=
[* 714,
    [ [* 409,
        a^2 - 1
    *], [* 547,
        a^3
    *], [* 239,
        -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:=
[* 714,
    [ [* 409,
        -1
    *], [* 547,
        a
    *], [* 239,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 714,
    [ [* 409, 1 *], [* 547, -1 *], [* 239, -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:=
[* 714,
    [ [* 409,
        a
    *], [* 547,
        -1
    *], [* 239,
        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:=
[* 714,
    [ [* 409,
        a - 1
    *], [* 547,
        -1
    *], [* 239,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 714,
    [ [* 409, -1 *], [* 547, -1 *], [* 239, 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:=
[* 715,
    [ [* 651,
        1
    *], [* 287,
        a
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a
    *], [* 287,
        1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a
    *], [* 287,
        -1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^4
    *], [* 287,
        a^5
    *], [* 496,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 715,
    [ [* 651, -1 *], [* 287, 1 *], [* 496, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 715,
    [ [* 651, -1 *], [* 287, -1 *], [* 496, 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:=
[* 715,
    [ [* 651,
        1
    *], [* 287,
        1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        1
    *], [* 287,
        -1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^6
    *], [* 287,
        a^15
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^6
    *], [* 287,
        -a^15
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^12
    *], [* 287,
        1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^12
    *], [* 287,
        -1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        -1
    *], [* 287,
        a^3
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        -1
    *], [* 287,
        -a^3
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        1
    *], [* 287,
        a^3
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^3
    *], [* 287,
        1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^3
    *], [* 287,
        -1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^12
    *], [* 287,
        a^15
    *], [* 496,
        a^10
    *] ]
*]
;
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:=
[* 715,
    [ [* 651,
        -1
    *], [* 287,
        1
    *], [* 496,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 4*x^6 + 15*x^4 + 4*x^2 + 1
);
eps_on_gens:=
[* 715,
    [ [* 651,
        -1
    *], [* 287,
        -1
    *], [* 496,
        1/15*(4*a^6 + 15*a^4 + 60*a^2 + 16)
    *] ]
*]
;
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:=
[* 715,
    [ [* 651,
        1
    *], [* 287,
        1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        1
    *], [* 287,
        -1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^2
    *], [* 287,
        a^5
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^2
    *], [* 287,
        -a^5
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^4
    *], [* 287,
        1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^4
    *], [* 287,
        -1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        -1
    *], [* 287,
        a
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        -1
    *], [* 287,
        -a
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        1
    *], [* 287,
        a^3
    *], [* 496,
        a^2 - 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:=
[* 715,
    [ [* 651,
        a^3
    *], [* 287,
        1
    *], [* 496,
        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:=
[* 715,
    [ [* 651,
        a^3
    *], [* 287,
        -1
    *], [* 496,
        a^5 - 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:=
[* 715,
    [ [* 651,
        a^12
    *], [* 287,
        a^15
    *], [* 496,
        a^10 - 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:=
[* 715,
    [ [* 651,
        -1
    *], [* 287,
        1
    *], [* 496,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 3*x^2 + 9
);
eps_on_gens:=
[* 715,
    [ [* 651,
        -1
    *], [* 287,
        -1
    *], [* 496,
        1/3*(-a^2 - 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:=
[* 715,
    [ [* 651,
        1
    *], [* 287,
        a
    *], [* 496,
        -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:=
[* 715,
    [ [* 651,
        a
    *], [* 287,
        1
    *], [* 496,
        -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:=
[* 715,
    [ [* 651,
        a
    *], [* 287,
        -1
    *], [* 496,
        -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:=
[* 715,
    [ [* 651,
        a^4
    *], [* 287,
        a^5
    *], [* 496,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 715,
    [ [* 651, -1 *], [* 287, 1 *], [* 496, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 715,
    [ [* 651,
        -1
    *], [* 287,
        -1
    *], [* 496,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 716,
    [ [* 181, 1 *], [* 359, -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:=
[* 716,
    [ [* 181,
        a
    *], [* 359,
        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:=
[* 716,
    [ [* 181,
        a^2
    *], [* 359,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 716,
    [ [* 181,
        -1
    *], [* 359,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 717,
    [ [* 7, 1 *], [* 479, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^95 - x^89 - x^88 + x^82 + x^81 - x^79 - x^78 - x^75 - x^74 + x^72 + 
    x^71 + x^68 + x^67 - x^65 - x^64 + x^62 - x^60 + x^58 + x^57 - x^55 + x^53 -
    x^51 - x^50 + x^48 - x^46 - x^45 + x^43 - x^41 + x^39 + x^38 - x^36 + x^34 -
    x^32 - x^31 + x^29 + x^28 + x^25 + x^24 - x^22 - x^21 - x^18 - x^17 + x^15 +
    x^14 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 717,
    [ [* 7,
        a
    *], [* 479,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^95 - x^89 - x^88 + x^82 + x^81 - x^79 - x^78 - x^75 - x^74 + x^72 + 
    x^71 + x^68 + x^67 - x^65 - x^64 + x^62 - x^60 + x^58 + x^57 - x^55 + x^53 -
    x^51 - x^50 + x^48 - x^46 - x^45 + x^43 - x^41 + x^39 + x^38 - x^36 + x^34 -
    x^32 - x^31 + x^29 + x^28 + x^25 + x^24 - x^22 - x^21 - x^18 - x^17 + x^15 +
    x^14 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 717,
    [ [* 7,
        a^2
    *], [* 479,
        -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:=
[* 717,
    [ [* 7,
        a
    *], [* 479,
        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:=
[* 717,
    [ [* 7,
        a^2
    *], [* 479,
        -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:=
[* 717,
    [ [* 7,
        a
    *], [* 479,
        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:=
[* 717,
    [ [* 7,
        a^2
    *], [* 479,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 717,
    [ [* 7, -1 *], [* 479, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 718,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 718,
    [ [* 7, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 719,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
15
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 719,
    [ [* 11,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 720,
    [ [* 271, -1 *], [* 181, 1 *], [* 641, 1 *], [* 577, 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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        a
    *], [* 641,
        1
    *], [* 577,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 720,
    [ [* 271, -1 *], [* 181, -1 *], [* 641, 1 *], [* 577, 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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        1
    *], [* 641,
        a
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        a^3
    *], [* 641,
        a^2
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        -1
    *], [* 641,
        a
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        1
    *], [* 641,
        a - 1
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        a^3
    *], [* 641,
        a^2 - 1
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        -1
    *], [* 641,
        a - 1
    *], [* 577,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 720,
    [ [* 271, 1 *], [* 181, 1 *], [* 641, -1 *], [* 577, 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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        a
    *], [* 641,
        -1
    *], [* 577,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 720,
    [ [* 271, 1 *], [* 181, -1 *], [* 641, -1 *], [* 577, 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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        1
    *], [* 641,
        1
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        a
    *], [* 641,
        1
    *], [* 577,
        a
    *] ]
*]
;
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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        -1
    *], [* 641,
        1
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        -a
    *], [* 641,
        1
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        1
    *], [* 641,
        a^2
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        a^3
    *], [* 641,
        a^2
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        -1
    *], [* 641,
        a^2
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        -a^3
    *], [* 641,
        a^2
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        1
    *], [* 641,
        a^2 - 1
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        a^3
    *], [* 641,
        a^2 - 1
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        -1
    *], [* 641,
        a^2 - 1
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        -a^3
    *], [* 641,
        a^2 - 1
    *], [* 577,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 - 2*x^2 + 9
);
eps_on_gens:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        1
    *], [* 641,
        -1
    *], [* 577,
        1/6*(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 + 1
);
eps_on_gens:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        a
    *], [* 641,
        -1
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        -1
    *], [* 641,
        -1
    *], [* 577,
        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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        -a
    *], [* 641,
        -1
    *], [* 577,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 720,
    [ [* 271, -1 *], [* 181, 1 *], [* 641, 1 *], [* 577, -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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        1/2*(-a^3 - 5*a)
    *], [* 641,
        1
    *], [* 577,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 720,
    [ [* 271, -1 *], [* 181, -1 *], [* 641, 1 *], [* 577, -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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        1
    *], [* 641,
        a
    *], [* 577,
        -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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        a^3
    *], [* 641,
        a^2
    *], [* 577,
        -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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        -1
    *], [* 641,
        a
    *], [* 577,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 + 3*x^2 + 9
);
eps_on_gens:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        1
    *], [* 641,
        1/3*(-a^2 - 3)
    *], [* 577,
        -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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        a^3
    *], [* 641,
        a^2 - 1
    *], [* 577,
        -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:=
[* 720,
    [ [* 271,
        -1
    *], [* 181,
        -1
    *], [* 641,
        a - 1
    *], [* 577,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 720,
    [ [* 271, 1 *], [* 181, 1 *], [* 641, -1 *], [* 577, -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:=
[* 720,
    [ [* 271,
        1
    *], [* 181,
        a
    *], [* 641,
        -1
    *], [* 577,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 720,
    [ [* 271, 1 *], [* 181, -1 *], [* 641, -1 *], [* 577, -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:=
[* 721,
    [ [* 211,
        1
    *], [* 619,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 721,
    [ [* 211, 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:=
[* 721,
    [ [* 211,
        a
    *], [* 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:=
[* 721,
    [ [* 211,
        a
    *], [* 619,
        a^17 - 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:=
[* 721,
    [ [* 211,
        a
    *], [* 619,
        -a^17
    *] ]
*]
;
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:=
[* 721,
    [ [* 211,
        a^2
    *], [* 619,
        a^17
    *] ]
*]
;
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:=
[* 721,
    [ [* 211,
        a^2
    *], [* 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:=
[* 721,
    [ [* 211,
        a^2
    *], [* 619,
        -a^17 + 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:=
[* 721,
    [ [* 211,
        a
    *], [* 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:=
[* 721,
    [ [* 211,
        a^3
    *], [* 619,
        a^17 - 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:=
[* 721,
    [ [* 211,
        a^6
    *], [* 619,
        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:=
[* 721,
    [ [* 211,
        a^2
    *], [* 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:=
[* 721,
    [ [* 211,
        a
    *], [* 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:=
[* 721,
    [ [* 211,
        a
    *], [* 619,
        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:=
[* 721,
    [ [* 211,
        a
    *], [* 619,
        -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:=
[* 721,
    [ [* 211,
        a - 1
    *], [* 619,
        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:=
[* 721,
    [ [* 211,
        a - 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:=
[* 721,
    [ [* 211,
        a - 1
    *], [* 619,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 721,
    [ [* 211, -1 *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 6*x^7 + 10*x^6 + 6*x^5 - 21*x^4 - 24*x^3 + 85*x^2 - 81*x + 61
);
eps_on_gens:=
[* 721,
    [ [* 211,
        -1
    *], [* 619,
        1/60423*(1460*a^7 - 7145*a^6 + 8007*a^5 + 12030*a^4 - 11145*a^3 - 
            42195*a^2 + 92945*a - 97598)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^108 + x^105 - x^99 - x^96 + x^90 + x^87 - x^81 - x^78 + x^72 + x^69 - x^63 - 
    x^60 + 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:=
[* 722,
    [ [* 363,
        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^33 - x^32 + x^30 + x^29 - x^27 - x^26 + x^24 + x^23 - x^21 - 
    x^20 + 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:=
[* 722,
    [ [* 363,
        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:=
[* 722,
    [ [* 363,
        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:=
[* 722,
    [ [* 363,
        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:=
[* 722,
    [ [* 363,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 722,
    [ [* 363, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 723,
    [ [* 7, 1 *], [* 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:=
[* 723,
    [ [* 7,
        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:=
[* 723,
    [ [* 7,
        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:=
[* 723,
    [ [* 7,
        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:=
[* 723,
    [ [* 7,
        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:=
[* 723,
    [ [* 7,
        a
    *], [* 242,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 723,
    [ [* 7,
        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 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 723,
    [ [* 7,
        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 - x^4 + 1
);
eps_on_gens:=
[* 723,
    [ [* 7,
        a
    *], [* 242,
        -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:=
[* 723,
    [ [* 7,
        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:=
[* 723,
    [ [* 7,
        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 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 723,
    [ [* 7,
        a^2
    *], [* 242,
        -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:=
[* 723,
    [ [* 7,
        a
    *], [* 242,
        -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:=
[* 723,
    [ [* 7,
        a
    *], [* 242,
        -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:=
[* 723,
    [ [* 7,
        a
    *], [* 242,
        -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:=
[* 723,
    [ [* 7,
        a
    *], [* 242,
        -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:=
[* 723,
    [ [* 7,
        a^2
    *], [* 242,
        -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:=
[* 723,
    [ [* 7,
        a
    *], [* 242,
        -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:=
[* 723,
    [ [* 7,
        a - 1
    *], [* 242,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 723,
    [ [* 7, -1 *], [* 242, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 724,
    [ [* 545, 1 *], [* 363, -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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        -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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 724,
    [ [* 545,
        a^2
    *], [* 363,
        -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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        -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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        -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:=
[* 724,
    [ [* 545,
        a^2
    *], [* 363,
        -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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        -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:=
[* 724,
    [ [* 545,
        a^2
    *], [* 363,
        -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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        -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:=
[* 724,
    [ [* 545,
        a^2
    *], [* 363,
        -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:=
[* 724,
    [ [* 545,
        a
    *], [* 363,
        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:=
[* 724,
    [ [* 545,
        a - 1
    *], [* 363,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 724,
    [ [* 545,
        -1
    *], [* 363,
        -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:=
[* 725,
    [ [* 552,
        a
    *], [* 176,
        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:=
[* 725,
    [ [* 552,
        a
    *], [* 176,
        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:=
[* 725,
    [ [* 552,
        1
    *], [* 176,
        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:=
[* 725,
    [ [* 552,
        a^14
    *], [* 176,
        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^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:=
[* 725,
    [ [* 552,
        a^28
    *], [* 176,
        a^5
    *] ]
*]
;
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:=
[* 725,
    [ [* 552,
        -1
    *], [* 176,
        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:=
[* 725,
    [ [* 552,
        a^7
    *], [* 176,
        a^10
    *] ]
*]
;
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:=
[* 725,
    [ [* 552,
        a^7
    *], [* 176,
        a^2
    *] ]
*]
;
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:=
[* 725,
    [ [* 552,
        a^7
    *], [* 176,
        a^20
    *] ]
*]
;
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:=
[* 725,
    [ [* 552,
        a^7
    *], [* 176,
        a^4
    *] ]
*]
;
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:=
[* 725,
    [ [* 552,
        1
    *], [* 176,
        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:=
[* 725,
    [ [* 552,
        a^2
    *], [* 176,
        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:=
[* 725,
    [ [* 552,
        a^4
    *], [* 176,
        a^5
    *] ]
*]
;
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:=
[* 725,
    [ [* 552,
        -1
    *], [* 176,
        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:=
[* 725,
    [ [* 552,
        a
    *], [* 176,
        -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:=
[* 725,
    [ [* 552,
        a
    *], [* 176,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 726,
    [ [* 607, 1 *], [* 485, -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:=
[* 726,
    [ [* 607,
        a
    *], [* 485,
        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:=
[* 726,
    [ [* 607,
        a^2
    *], [* 485,
        -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:=
[* 726,
    [ [* 607,
        a
    *], [* 485,
        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:=
[* 726,
    [ [* 607,
        a^2
    *], [* 485,
        -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:=
[* 726,
    [ [* 607,
        a
    *], [* 485,
        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:=
[* 726,
    [ [* 607,
        a^2
    *], [* 485,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 726,
    [ [* 607, -1 *], [* 485, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^220 + x^209 - x^187 - x^176 + x^154 + x^143 - x^121 - x^110 - x^99 + x^77 + 
    x^66 - x^44 - x^33 + x^11 + 1
);
eps_on_gens:=
[* 727,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^110 - x^99 + x^88 - x^77 + x^66 - x^55 + x^44 - x^33 + x^22 - x^11 + 1
);
eps_on_gens:=
[* 727,
    [ [* 5,
        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:=
[* 727,
    [ [* 5,
        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:=
[* 727,
    [ [* 5,
        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:=
[* 727,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 727,
    [ [* 5,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 728,
    [ [* 561, 1 *], [* 183, -1 *], [* 521, 1 *], [* 365, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 728,
    [ [* 561, 1 *], [* 183, -1 *], [* 521, 1 *], [* 365, -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:=
[* 728,
    [ [* 561,
        1
    *], [* 183,
        1
    *], [* 521,
        a
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        1
    *], [* 183,
        1
    *], [* 521,
        a
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        1
    *], [* 183,
        -1
    *], [* 521,
        a - 1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        1
    *], [* 183,
        -1
    *], [* 521,
        a - 1
    *], [* 365,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 728,
    [ [* 561, 1 *], [* 183, 1 *], [* 521, -1 *], [* 365, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 728,
    [ [* 561, 1 *], [* 183, 1 *], [* 521, -1 *], [* 365, -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        a^2
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        a^2
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        a^2 - 1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        a^2 - 1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        -1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        -1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        -a^2
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        -a^2
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        -a^2 + 1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        -a^2 + 1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        a
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        a
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        a - 1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        a - 1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        -1
    *], [* 365,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 728,
    [ [* 561,
        a^4
    *], [* 183,
        1
    *], [* 521,
        -1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        -a
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        -a
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        -a + 1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        -a + 1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        1
    *], [* 521,
        1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a^3
    *], [* 183,
        -1
    *], [* 521,
        a^2
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a^3
    *], [* 183,
        -1
    *], [* 521,
        a^2
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a^3
    *], [* 183,
        1
    *], [* 521,
        a^2 - 1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a^3
    *], [* 183,
        1
    *], [* 521,
        a^2 - 1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        -1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a
    *], [* 183,
        -1
    *], [* 521,
        -1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a - 1
    *], [* 183,
        -1
    *], [* 521,
        1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a - 1
    *], [* 183,
        -1
    *], [* 521,
        1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a - 1
    *], [* 183,
        1
    *], [* 521,
        a
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a - 1
    *], [* 183,
        1
    *], [* 521,
        a
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a - 1
    *], [* 183,
        -1
    *], [* 521,
        a - 1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        -a^2
    *], [* 183,
        -1
    *], [* 521,
        -a^2
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a - 1
    *], [* 183,
        1
    *], [* 521,
        -1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a - 1
    *], [* 183,
        1
    *], [* 521,
        -1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a - 1
    *], [* 183,
        -1
    *], [* 521,
        -a
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        -a^2
    *], [* 183,
        -1
    *], [* 521,
        a^2 - 1
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        a - 1
    *], [* 183,
        1
    *], [* 521,
        -a + 1
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        a - 1
    *], [* 183,
        1
    *], [* 521,
        -a + 1
    *], [* 365,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 728,
    [ [* 561, -1 *], [* 183, -1 *], [* 521, 1 *], [* 365, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 728,
    [ [* 561, -1 *], [* 183, -1 *], [* 521, 1 *], [* 365, -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:=
[* 728,
    [ [* 561,
        -1
    *], [* 183,
        1
    *], [* 521,
        a
    *], [* 365,
        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:=
[* 728,
    [ [* 561,
        -1
    *], [* 183,
        1
    *], [* 521,
        a
    *], [* 365,
        -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:=
[* 728,
    [ [* 561,
        -1
    *], [* 183,
        -1
    *], [* 521,
        a - 1
    *], [* 365,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 + 3*x^4 + 2*x^3 + 9*x^2 + 3*x + 1
);
eps_on_gens:=
[* 728,
    [ [* 561,
        -1
    *], [* 183,
        -1
    *], [* 521,
        1/3*(-a^5 - 3*a^3 - a^2 - 9*a - 3)
    *], [* 365,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 728,
    [ [* 561, -1 *], [* 183, 1 *], [* 521, -1 *], [* 365, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 728,
    [ [* 561,
        -1
    *], [* 183,
        1
    *], [* 521,
        -1
    *], [* 365,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^162 - x^81 + 1
);
eps_on_gens:=
[* 729,
    [ [* 2,
        a
    *] ]
*]
;
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:=
[* 729,
    [ [* 2,
        a
    *] ]
*]
;
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:=
[* 729,
    [ [* 2,
        a
    *] ]
*]
;
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:=
[* 729,
    [ [* 2,
        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:=
[* 729,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 729,
    [ [* 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:=
[* 730,
    [ [* 151,
        1
    *], [* 147,
        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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        -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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        -a^9
    *] ]
*]
;
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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        -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:=
[* 730,
    [ [* 151,
        a^2
    *], [* 147,
        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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        -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:=
[* 730,
    [ [* 151,
        a^4
    *], [* 147,
        a^9
    *] ]
*]
;
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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        -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:=
[* 730,
    [ [* 151,
        a^2
    *], [* 147,
        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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        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:=
[* 730,
    [ [* 151,
        a
    *], [* 147,
        -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:=
[* 730,
    [ [* 151,
        a^2 - 1
    *], [* 147,
        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:=
[* 730,
    [ [* 151,
        -1
    *], [* 147,
        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:=
[* 731,
    [ [* 173,
        a
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        1
    *], [* 562,
        a
    *] ]
*]
;
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^36 - x^32 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 731,
    [ [* 173,
        a^21
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        a^21
    *], [* 562,
        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^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 731,
    [ [* 173,
        -1
    *], [* 562,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^88 - x^72 - x^64 + x^48 - x^32 - x^24 + x^8 + 1
);
eps_on_gens:=
[* 731,
    [ [* 173,
        a^21
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        1
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        a^7
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        a^7
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        -1
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        a^7
    *], [* 562,
        a^16
    *] ]
*]
;
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:=
[* 731,
    [ [* 173,
        1
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        a^3
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        a^3
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        -1
    *], [* 562,
        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:=
[* 731,
    [ [* 173,
        a^3
    *], [* 562,
        a^8 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 731,
    [ [* 173, 1 *], [* 562, -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:=
[* 731,
    [ [* 173,
        a
    *], [* 562,
        -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:=
[* 731,
    [ [* 173,
        a
    *], [* 562,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 731,
    [ [* 173,
        -1
    *], [* 562,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 732,
    [ [* 673, 1 *], [* 245, 1 *], [* 367, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 732,
    [ [* 673, 1 *], [* 245, -1 *], [* 367, 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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        1
    *], [* 367,
        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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        -1
    *], [* 367,
        -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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        1
    *], [* 367,
        -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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        -1
    *], [* 367,
        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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        1
    *], [* 367,
        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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        -1
    *], [* 367,
        -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:=
[* 732,
    [ [* 673,
        a^2
    *], [* 245,
        1
    *], [* 367,
        -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:=
[* 732,
    [ [* 673,
        a^2
    *], [* 245,
        -1
    *], [* 367,
        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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        1
    *], [* 367,
        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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        -1
    *], [* 367,
        -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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        1
    *], [* 367,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        -1
    *], [* 367,
        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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        1
    *], [* 367,
        -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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        -1
    *], [* 367,
        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:=
[* 732,
    [ [* 673,
        a^2
    *], [* 245,
        1
    *], [* 367,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 732,
    [ [* 673,
        a^2
    *], [* 245,
        -1
    *], [* 367,
        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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        1
    *], [* 367,
        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:=
[* 732,
    [ [* 673,
        a
    *], [* 245,
        -1
    *], [* 367,
        -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:=
[* 732,
    [ [* 673,
        a - 1
    *], [* 245,
        1
    *], [* 367,
        -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:=
[* 732,
    [ [* 673,
        a - 1
    *], [* 245,
        -1
    *], [* 367,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 732,
    [ [* 673, -1 *], [* 245, 1 *], [* 367, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 732,
    [ [* 673, -1 *], [* 245, -1 *], [* 367, 1 *] ]
*]
;
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^234 - x^232 + x^228 + x^226 - x^222 - x^220 + x^216 + x^214 - 
    x^210 - x^208 + x^204 + x^202 - x^198 - x^196 + x^192 + x^190 - x^186 - 
    x^184 + x^180 + x^178 - x^174 - x^172 + 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^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:=
[* 733,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 733,
    [ [* 6,
        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:=
[* 733,
    [ [* 6,
        a
    *] ]
*]
;
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:=
[* 733,
    [ [* 6,
        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^117 - x^116 + x^114 + x^113 - x^111 - x^110 + x^108 + x^107 - 
    x^105 - x^104 + x^102 + x^101 - x^99 - x^98 + x^96 + x^95 - x^93 - x^92 + 
    x^90 + x^89 - x^87 - x^86 + 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^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:=
[* 734,
    [ [* 373,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 734,
    [ [* 373,
        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:=
[* 734,
    [ [* 373,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 734,
    [ [* 373, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 735,
    [ [* 442, 1 *], [* 346, 1 *], [* 491, -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:=
[* 735,
    [ [* 442,
        a
    *], [* 346,
        1
    *], [* 491,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 735,
    [ [* 442,
        -1
    *], [* 346,
        1
    *], [* 491,
        -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:=
[* 735,
    [ [* 442,
        1
    *], [* 346,
        a
    *], [* 491,
        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:=
[* 735,
    [ [* 442,
        a^21
    *], [* 346,
        a^2
    *], [* 491,
        -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:=
[* 735,
    [ [* 442,
        -1
    *], [* 346,
        a
    *], [* 491,
        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:=
[* 735,
    [ [* 442,
        1
    *], [* 346,
        a^2
    *], [* 491,
        -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:=
[* 735,
    [ [* 442,
        a^21
    *], [* 346,
        a^4
    *], [* 491,
        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:=
[* 735,
    [ [* 442,
        -1
    *], [* 346,
        a^2
    *], [* 491,
        -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:=
[* 735,
    [ [* 442,
        1
    *], [* 346,
        a
    *], [* 491,
        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:=
[* 735,
    [ [* 442,
        a^7
    *], [* 346,
        a^2
    *], [* 491,
        -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:=
[* 735,
    [ [* 442,
        -1
    *], [* 346,
        a
    *], [* 491,
        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:=
[* 735,
    [ [* 442,
        1
    *], [* 346,
        a^2
    *], [* 491,
        -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:=
[* 735,
    [ [* 442,
        a^7
    *], [* 346,
        a^4
    *], [* 491,
        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:=
[* 735,
    [ [* 442,
        -1
    *], [* 346,
        a^2
    *], [* 491,
        -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:=
[* 735,
    [ [* 442,
        1
    *], [* 346,
        a
    *], [* 491,
        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:=
[* 735,
    [ [* 442,
        a^3
    *], [* 346,
        a^2
    *], [* 491,
        -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:=
[* 735,
    [ [* 442,
        -1
    *], [* 346,
        a
    *], [* 491,
        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:=
[* 735,
    [ [* 442,
        1
    *], [* 346,
        a - 1
    *], [* 491,
        -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:=
[* 735,
    [ [* 442,
        a^3
    *], [* 346,
        a^2 - 1
    *], [* 491,
        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^2 + 4
);
eps_on_gens:=
[* 735,
    [ [* 442,
        -1
    *], [* 346,
        1/2*(-a^2 - 2)
    *], [* 491,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 735,
    [ [* 442, 1 *], [* 346, -1 *], [* 491, 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:=
[* 735,
    [ [* 442,
        a
    *], [* 346,
        -1
    *], [* 491,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 735,
    [ [* 442, -1 *], [* 346, -1 *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 736,
    [ [* 645, 1 *], [* 97, 1 *], [* 415, -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:=
[* 736,
    [ [* 645,
        a
    *], [* 97,
        1
    *], [* 415,
        -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:=
[* 736,
    [ [* 645,
        a
    *], [* 97,
        1
    *], [* 415,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 736,
    [ [* 645, -1 *], [* 97, 1 *], [* 415, -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:=
[* 736,
    [ [* 645,
        1
    *], [* 97,
        a
    *], [* 415,
        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:=
[* 736,
    [ [* 645,
        a^11
    *], [* 97,
        a^4
    *], [* 415,
        1
    *] ]
*]
;
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:=
[* 736,
    [ [* 645,
        a^11
    *], [* 97,
        a^2
    *], [* 415,
        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:=
[* 736,
    [ [* 645,
        -1
    *], [* 97,
        a
    *], [* 415,
        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:=
[* 736,
    [ [* 645,
        1
    *], [* 97,
        a^2
    *], [* 415,
        -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:=
[* 736,
    [ [* 645,
        a^11
    *], [* 97,
        a^8
    *], [* 415,
        -1
    *] ]
*]
;
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:=
[* 736,
    [ [* 645,
        a^11
    *], [* 97,
        a^4
    *], [* 415,
        -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:=
[* 736,
    [ [* 645,
        -1
    *], [* 97,
        a^2
    *], [* 415,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 736,
    [ [* 645, 1 *], [* 97, -1 *], [* 415, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 2*x^6 - 4*x^5 + 2*x^4 + 16*x^3 + 18*x^2 + 4*x + 1
);
eps_on_gens:=
[* 736,
    [ [* 645,
        1/210*(-69*a^7 + 38*a^6 + 112*a^5 + 227*a^4 - 227*a^3 - 980*a^2 - 822*a 
            + 23)
    *], [* 97,
        -1
    *], [* 415,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 736,
    [ [* 645,
        a
    *], [* 97,
        -1
    *], [* 415,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 736,
    [ [* 645,
        -1
    *], [* 97,
        -1
    *], [* 415,
        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:=
[* 737,
    [ [* 68,
        a
    *], [* 672,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 737,
    [ [* 68, -1 *], [* 672, 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:=
[* 737,
    [ [* 68,
        1
    *], [* 672,
        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^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 
    2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + 
    x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + 
    x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 737,
    [ [* 68,
        a^66
    *], [* 672,
        a^5
    *] ]
*]
;
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^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 
    2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + 
    x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + 
    x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 737,
    [ [* 68,
        a^33
    *], [* 672,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 737,
    [ [* 68,
        -1
    *], [* 672,
        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:=
[* 737,
    [ [* 68,
        1
    *], [* 672,
        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:=
[* 737,
    [ [* 68,
        a^22
    *], [* 672,
        a^5
    *] ]
*]
;
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:=
[* 737,
    [ [* 68,
        a^11
    *], [* 672,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 737,
    [ [* 68,
        -1
    *], [* 672,
        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:=
[* 737,
    [ [* 68,
        1
    *], [* 672,
        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:=
[* 737,
    [ [* 68,
        a^6
    *], [* 672,
        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:=
[* 737,
    [ [* 68,
        a^3
    *], [* 672,
        a^5 - 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:=
[* 737,
    [ [* 68,
        -1
    *], [* 672,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 737,
    [ [* 68, 1 *], [* 672, -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:=
[* 737,
    [ [* 68,
        a^2
    *], [* 672,
        -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:=
[* 738,
    [ [* 83,
        a
    *], [* 703,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 738,
    [ [* 83, -1 *], [* 703, 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:=
[* 738,
    [ [* 83,
        1
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        a^20 - 1
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        a^10
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        -1
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        a^5
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        -1
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        1
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        a^4 - 1
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        a^5
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        -1
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        a^2
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        -1
    *], [* 703,
        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:=
[* 738,
    [ [* 83,
        a
    *], [* 703,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 738,
    [ [* 83, -1 *], [* 703, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 + x^237 - x^231 - x^228 + x^222 + x^219 - x^213 - x^210 + x^204 + x^201 - 
    x^195 - x^192 + x^186 + x^183 - x^177 - x^174 + x^168 + x^165 - x^159 - 
    x^156 + x^150 + x^147 - x^141 - x^138 + x^132 + x^129 - x^123 - 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:=
[* 739,
    [ [* 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:=
[* 739,
    [ [* 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:=
[* 739,
    [ [* 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:=
[* 739,
    [ [* 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:=
[* 739,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 739,
    [ [* 3,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 740,
    [ [* 261, 1 *], [* 297, 1 *], [* 371, -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:=
[* 740,
    [ [* 261,
        1
    *], [* 297,
        a
    *], [* 371,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 740,
    [ [* 261, 1 *], [* 297, -1 *], [* 371, -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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        1
    *], [* 371,
        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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        a^9
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        -1
    *], [* 371,
        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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        -a^9
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        1
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a^2
    *], [* 297,
        a^9
    *], [* 371,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        -1
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        1
    *], [* 371,
        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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        a^3
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        -1
    *], [* 371,
        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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        -a^3
    *], [* 371,
        -1
    *] ]
*]
;
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:=
[* 740,
    [ [* 261,
        a^2
    *], [* 297,
        1
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a^4
    *], [* 297,
        a^9
    *], [* 371,
        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:=
[* 740,
    [ [* 261,
        a^2
    *], [* 297,
        -1
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        1
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a^2
    *], [* 297,
        a^3
    *], [* 371,
        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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        -1
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        1
    *], [* 371,
        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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        a
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        -1
    *], [* 371,
        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:=
[* 740,
    [ [* 261,
        a
    *], [* 297,
        -a
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a - 1
    *], [* 297,
        1
    *], [* 371,
        -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:=
[* 740,
    [ [* 261,
        a^2 - 1
    *], [* 297,
        a^3
    *], [* 371,
        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:=
[* 740,
    [ [* 261,
        a - 1
    *], [* 297,
        -1
    *], [* 371,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 740,
    [ [* 261, -1 *], [* 297, 1 *], [* 371, -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:=
[* 740,
    [ [* 261,
        -1
    *], [* 297,
        a
    *], [* 371,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 740,
    [ [* 261,
        -1
    *], [* 297,
        -1
    *], [* 371,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 741,
    [ [* 457, 1 *], [* 248, -1 *], [* 40, 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:=
[* 741,
    [ [* 457,
        a
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a - 1
    *], [* 248,
        -1
    *], [* 40,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 741,
    [ [* 457, -1 *], [* 248, -1 *], [* 40, 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:=
[* 741,
    [ [* 457,
        1
    *], [* 248,
        1
    *], [* 40,
        a
    *] ]
*]
;
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:=
[* 741,
    [ [* 457,
        a^3
    *], [* 248,
        -1
    *], [* 40,
        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^3 + 1
);
eps_on_gens:=
[* 741,
    [ [* 457,
        a^3
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a^9
    *], [* 248,
        -1
    *], [* 40,
        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^3 + 1
);
eps_on_gens:=
[* 741,
    [ [* 457,
        a^3 - 1
    *], [* 248,
        1
    *], [* 40,
        a
    *] ]
*]
;
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:=
[* 741,
    [ [* 457,
        a^9 - a^3
    *], [* 248,
        -1
    *], [* 40,
        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^3 + 1
);
eps_on_gens:=
[* 741,
    [ [* 457,
        -1
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        -a^3
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        -a^3 + 1
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        1
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a^3
    *], [* 248,
        1
    *], [* 40,
        a^4
    *] ]
*]
;
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:=
[* 741,
    [ [* 457,
        a^3
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a^9
    *], [* 248,
        1
    *], [* 40,
        a^4
    *] ]
*]
;
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:=
[* 741,
    [ [* 457,
        a^3 - 1
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a^9 - a^3
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        -1
    *], [* 248,
        -1
    *], [* 40,
        a^2
    *] ]
*]
;
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:=
[* 741,
    [ [* 457,
        -a^3
    *], [* 248,
        -1
    *], [* 40,
        a^2
    *] ]
*]
;
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:=
[* 741,
    [ [* 457,
        -a^3 + 1
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        1
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a^3
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a - 1
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a^3 - a
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        -1
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        -a
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        -a + 1
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        1
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a^3
    *], [* 248,
        1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a - 1
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        a^3 - a
    *], [* 248,
        1
    *], [* 40,
        a^2 - 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:=
[* 741,
    [ [* 457,
        -1
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        -a
    *], [* 248,
        -1
    *], [* 40,
        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:=
[* 741,
    [ [* 457,
        -a + 1
    *], [* 248,
        -1
    *], [* 40,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 741,
    [ [* 457, 1 *], [* 248, 1 *], [* 40, -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:=
[* 741,
    [ [* 457,
        a
    *], [* 248,
        -1
    *], [* 40,
        -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:=
[* 741,
    [ [* 457,
        a
    *], [* 248,
        1
    *], [* 40,
        -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:=
[* 741,
    [ [* 457,
        a
    *], [* 248,
        -1
    *], [* 40,
        -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:=
[* 741,
    [ [* 457,
        a - 1
    *], [* 248,
        1
    *], [* 40,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 741,
    [ [* 457, -1 *], [* 248, 1 *], [* 40, -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:=
[* 742,
    [ [* 213,
        a
    *], [* 267,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 742,
    [ [* 213, -1 *], [* 267, 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:=
[* 742,
    [ [* 213,
        1
    *], [* 267,
        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^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:=
[* 742,
    [ [* 213,
        a^26 - 1
    *], [* 267,
        a^3
    *] ]
*]
;
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:=
[* 742,
    [ [* 213,
        a^13
    *], [* 267,
        a^3
    *] ]
*]
;
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:=
[* 742,
    [ [* 213,
        -1
    *], [* 267,
        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^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:=
[* 742,
    [ [* 213,
        a^13
    *], [* 267,
        a^6
    *] ]
*]
;
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:=
[* 742,
    [ [* 213,
        -1
    *], [* 267,
        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:=
[* 742,
    [ [* 213,
        1
    *], [* 267,
        a
    *] ]
*]
;
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:=
[* 742,
    [ [* 213,
        a^2 - 1
    *], [* 267,
        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:=
[* 742,
    [ [* 213,
        a
    *], [* 267,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 742,
    [ [* 213, -1 *], [* 267, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^312 + x^311 - x^305 - x^304 + x^298 + x^297 - x^291 - x^290 + x^284 + x^283 - 
    x^277 - x^276 + x^270 + x^269 - x^263 - x^262 - x^259 - x^258 + x^256 + 
    x^255 + x^252 + x^251 - x^249 - x^248 - x^245 - x^244 + x^242 + x^241 + 
    x^238 + x^237 - x^235 - x^234 - x^231 - x^230 + x^228 + x^227 + x^224 + 
    x^223 - x^221 - x^220 - x^217 - x^216 + x^214 + x^213 + x^210 + x^209 - 
    x^207 + x^205 - x^203 - x^202 + x^200 - x^198 + x^196 + x^195 - x^193 + 
    x^191 - x^189 - x^188 + x^186 - x^184 + x^182 + x^181 - x^179 + x^177 - 
    x^175 - x^174 + x^172 - x^170 + x^168 + x^167 - x^165 + x^163 - x^161 - 
    x^160 + x^158 - x^156 + x^154 - x^152 - x^151 + x^149 - x^147 + x^145 + 
    x^144 - x^142 + x^140 - x^138 - x^137 + x^135 - x^133 + x^131 + x^130 - 
    x^128 + x^126 - x^124 - x^123 + x^121 - x^119 + x^117 + x^116 - x^114 + 
    x^112 - x^110 - x^109 + x^107 - x^105 + x^103 + x^102 + x^99 + x^98 - x^96 -
    x^95 - x^92 - x^91 + x^89 + x^88 + x^85 + x^84 - x^82 - x^81 - x^78 - x^77 +
    x^75 + x^74 + x^71 + x^70 - x^68 - x^67 - x^64 - x^63 + x^61 + x^60 + x^57 +
    x^56 - x^54 - x^53 - x^50 - x^49 + x^43 + x^42 - x^36 - x^35 + x^29 + x^28 -
    x^22 - x^21 + x^15 + x^14 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 743,
    [ [* 5,
        a
    *] ]
*]
;
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:=
[* 743,
    [ [* 5,
        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:=
[* 743,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 743,
    [ [* 5,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 744,
    [ [* 313, 1 *], [* 559, -1 *], [* 497, 1 *], [* 373, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 744,
    [ [* 313, 1 *], [* 559, -1 *], [* 497, 1 *], [* 373, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 744,
    [ [* 313, 1 *], [* 559, 1 *], [* 497, -1 *], [* 373, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 744,
    [ [* 313, 1 *], [* 559, 1 *], [* 497, -1 *], [* 373, -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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        1
    *], [* 497,
        1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        1
    *], [* 497,
        1
    *], [* 373,
        -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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        -1
    *], [* 497,
        -1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        -1
    *], [* 497,
        -1
    *], [* 373,
        -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:=
[* 744,
    [ [* 313,
        a^2
    *], [* 559,
        -1
    *], [* 497,
        1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a^2
    *], [* 559,
        -1
    *], [* 497,
        1
    *], [* 373,
        -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:=
[* 744,
    [ [* 313,
        a^2
    *], [* 559,
        1
    *], [* 497,
        -1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a^2
    *], [* 559,
        1
    *], [* 497,
        -1
    *], [* 373,
        -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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        1
    *], [* 497,
        1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        1
    *], [* 497,
        1
    *], [* 373,
        -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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        -1
    *], [* 497,
        -1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        -1
    *], [* 497,
        -1
    *], [* 373,
        -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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        1
    *], [* 497,
        1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        1
    *], [* 497,
        1
    *], [* 373,
        -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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        -1
    *], [* 497,
        -1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a
    *], [* 559,
        -1
    *], [* 497,
        -1
    *], [* 373,
        -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:=
[* 744,
    [ [* 313,
        a^2
    *], [* 559,
        -1
    *], [* 497,
        1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a^2
    *], [* 559,
        -1
    *], [* 497,
        1
    *], [* 373,
        -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:=
[* 744,
    [ [* 313,
        a^2
    *], [* 559,
        1
    *], [* 497,
        -1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a^2
    *], [* 559,
        1
    *], [* 497,
        -1
    *], [* 373,
        -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:=
[* 744,
    [ [* 313,
        a - 1
    *], [* 559,
        -1
    *], [* 497,
        1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a - 1
    *], [* 559,
        -1
    *], [* 497,
        1
    *], [* 373,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - 2*x^3 + 7*x^2 - 6*x + 3
);
eps_on_gens:=
[* 744,
    [ [* 313,
        1/5*(-2*a^3 + 3*a^2 - 10*a + 2)
    *], [* 559,
        1
    *], [* 497,
        -1
    *], [* 373,
        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:=
[* 744,
    [ [* 313,
        a - 1
    *], [* 559,
        1
    *], [* 497,
        -1
    *], [* 373,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 744,
    [ [* 313, -1 *], [* 559, 1 *], [* 497, 1 *], [* 373, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 744,
    [ [* 313, -1 *], [* 559, 1 *], [* 497, 1 *], [* 373, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 744,
    [ [* 313, -1 *], [* 559, -1 *], [* 497, -1 *], [* 373, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 744,
    [ [* 313, -1 *], [* 559, -1 *], [* 497, -1 *], [* 373, -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:=
[* 745,
    [ [* 151,
        1
    *], [* 597,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 745,
    [ [* 151,
        a
    *], [* 597,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 745,
    [ [* 151,
        a
    *], [* 597,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 745,
    [ [* 151,
        a^2
    *], [* 597,
        a^37
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 745,
    [ [* 151,
        a^4
    *], [* 597,
        a^37
    *] ]
*]
;
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:=
[* 745,
    [ [* 151,
        a
    *], [* 597,
        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:=
[* 745,
    [ [* 151,
        a
    *], [* 597,
        -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:=
[* 745,
    [ [* 151,
        -1
    *], [* 597,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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^82 - x^78 - x^76 + x^72 + x^70 - x^66 - x^64 + 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:=
[* 746,
    [ [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 746,
    [ [* 375,
        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:=
[* 746,
    [ [* 375,
        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:=
[* 746,
    [ [* 375,
        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:=
[* 747,
    [ [* 416,
        a
    *], [* 334,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 747,
    [ [* 416, -1 *], [* 334, 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:=
[* 747,
    [ [* 416,
        1
    *], [* 334,
        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:=
[* 747,
    [ [* 416,
        a^41 - 1
    *], [* 334,
        a^3
    *] ]
*]
;
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:=
[* 747,
    [ [* 416,
        a^41
    *], [* 334,
        a^6
    *] ]
*]
;
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:=
[* 747,
    [ [* 416,
        -1
    *], [* 334,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 747,
    [ [* 416, 1 *], [* 334, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 + 3*x^4 + 2*x^3 + 9*x^2 + 3*x + 1
);
eps_on_gens:=
[* 747,
    [ [* 416,
        1/3*(-a^5 - 3*a^3 - a^2 - 9*a - 3)
    *], [* 334,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 748,
    [ [* 409, 1 *], [* 309, 1 *], [* 375, -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:=
[* 748,
    [ [* 409,
        a
    *], [* 309,
        1
    *], [* 375,
        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:=
[* 748,
    [ [* 409,
        a^2
    *], [* 309,
        1
    *], [* 375,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 748,
    [ [* 409, -1 *], [* 309, 1 *], [* 375, 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:=
[* 748,
    [ [* 409,
        1
    *], [* 309,
        a
    *], [* 375,
        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:=
[* 748,
    [ [* 409,
        a^8
    *], [* 309,
        a^5
    *], [* 375,
        -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:=
[* 748,
    [ [* 409,
        a^16
    *], [* 309,
        a^5
    *], [* 375,
        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:=
[* 748,
    [ [* 409,
        -1
    *], [* 309,
        a
    *], [* 375,
        -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:=
[* 748,
    [ [* 409,
        1
    *], [* 309,
        a
    *], [* 375,
        -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:=
[* 748,
    [ [* 409,
        a^4
    *], [* 309,
        a^5
    *], [* 375,
        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:=
[* 748,
    [ [* 409,
        a^8
    *], [* 309,
        a^5
    *], [* 375,
        -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:=
[* 748,
    [ [* 409,
        -1
    *], [* 309,
        a
    *], [* 375,
        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:=
[* 748,
    [ [* 409,
        1
    *], [* 309,
        a
    *], [* 375,
        -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:=
[* 748,
    [ [* 409,
        a^2
    *], [* 309,
        a^5
    *], [* 375,
        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:=
[* 748,
    [ [* 409,
        a^4
    *], [* 309,
        a^5
    *], [* 375,
        -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:=
[* 748,
    [ [* 409,
        -1
    *], [* 309,
        -a^2
    *], [* 375,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 748,
    [ [* 409, 1 *], [* 309, -1 *], [* 375, -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:=
[* 748,
    [ [* 409,
        a
    *], [* 309,
        -1
    *], [* 375,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 2*x^7 - 7*x^6 + 6*x^5 + 30*x^4 - 4*x^3 - 22*x^2 + 38*x + 61
);
eps_on_gens:=
[* 748,
    [ [* 409,
        1/5945*(194*a^7 - 589*a^6 - 950*a^5 + 2896*a^4 + 3604*a^3 - 6030*a^2 - 
            1710*a + 7636)
    *], [* 309,
        -1
    *], [* 375,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 748,
    [ [* 409, -1 *], [* 309, -1 *], [* 375, 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:=
[* 749,
    [ [* 108,
        a
    *], [* 323,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 749,
    [ [* 108, -1 *], [* 323, 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:=
[* 749,
    [ [* 108,
        1
    *], [* 323,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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^68 + x^67 - x^65 - x^64 + x^62 + x^61 - x^59 - x^58 + x^56 +
    x^55 - x^53 - 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:=
[* 749,
    [ [* 108,
        a^53 - 1
    *], [* 323,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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^68 + x^67 - x^65 - x^64 + x^62 + x^61 - x^59 - x^58 + x^56 +
    x^55 - x^53 - 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:=
[* 749,
    [ [* 108,
        a^53
    *], [* 323,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 749,
    [ [* 108,
        -1
    *], [* 323,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 749,
    [ [* 108, 1 *], [* 323, -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:=
[* 749,
    [ [* 108,
        a - 1
    *], [* 323,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 750,
    [ [* 127, 1 *], [* 251, -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:=
[* 750,
    [ [* 127,
        a
    *], [* 251,
        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:=
[* 750,
    [ [* 127,
        a
    *], [* 251,
        -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:=
[* 750,
    [ [* 127,
        a^2
    *], [* 251,
        -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:=
[* 750,
    [ [* 127,
        a
    *], [* 251,
        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:=
[* 750,
    [ [* 127,
        a
    *], [* 251,
        -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:=
[* 750,
    [ [* 127,
        a^2
    *], [* 251,
        -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:=
[* 750,
    [ [* 127,
        a
    *], [* 251,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 750,
    [ [* 127, -1 *], [* 251, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^200 + x^175 - x^125 - x^100 - x^75 + x^25 + 1
);
eps_on_gens:=
[* 751,
    [ [* 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^75 + x^50 - x^25 + 1
);
eps_on_gens:=
[* 751,
    [ [* 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^35 - x^25 - x^20 - x^15 + x^5 + 1
);
eps_on_gens:=
[* 751,
    [ [* 3,
        a
    *] ]
*]
;
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:=
[* 751,
    [ [* 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:=
[* 751,
    [ [* 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:=
[* 751,
    [ [* 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:=
[* 751,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
9
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 751,
    [ [* 3,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 752,
    [ [* 565, 1 *], [* 193, 1 *], [* 95, -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:=
[* 752,
    [ [* 565,
        a
    *], [* 193,
        1
    *], [* 95,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 752,
    [ [* 565, -1 *], [* 193, 1 *], [* 95, -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:=
[* 752,
    [ [* 565,
        1
    *], [* 193,
        a
    *], [* 95,
        1
    *] ]
*]
;
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:=
[* 752,
    [ [* 565,
        a^23
    *], [* 193,
        a^2
    *], [* 95,
        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:=
[* 752,
    [ [* 565,
        -1
    *], [* 193,
        a
    *], [* 95,
        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:=
[* 752,
    [ [* 565,
        1
    *], [* 193,
        a^2
    *], [* 95,
        -1
    *] ]
*]
;
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:=
[* 752,
    [ [* 565,
        a^23
    *], [* 193,
        a^4
    *], [* 95,
        -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:=
[* 752,
    [ [* 565,
        -1
    *], [* 193,
        a^2
    *], [* 95,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 752,
    [ [* 565,
        1
    *], [* 193,
        -1
    *], [* 95,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 6*x^6 + 31*x^4 - 46*x^2 + 121
);
eps_on_gens:=
[* 752,
    [ [* 565,
        1/1342*(15*a^7 - 68*a^5 + 410*a^3 + 135*a)
    *], [* 193,
        -1
    *], [* 95,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 752,
    [ [* 565, -1 *], [* 193, -1 *], [* 95, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 753,
    [ [* 508, 1 *], [* 503, -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:=
[* 753,
    [ [* 508,
        a
    *], [* 503,
        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:=
[* 753,
    [ [* 508,
        a^2
    *], [* 503,
        -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:=
[* 753,
    [ [* 508,
        a
    *], [* 503,
        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:=
[* 753,
    [ [* 508,
        a^2
    *], [* 503,
        -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:=
[* 753,
    [ [* 508,
        a
    *], [* 503,
        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:=
[* 753,
    [ [* 508,
        a^2
    *], [* 503,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 753,
    [ [* 508, -1 *], [* 503, 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:=
[* 754,
    [ [* 639,
        a
    *], [* 495,
        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:=
[* 754,
    [ [* 639,
        a
    *], [* 495,
        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:=
[* 754,
    [ [* 639,
        1
    *], [* 495,
        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:=
[* 754,
    [ [* 639,
        a^14
    *], [* 495,
        a^3
    *] ]
*]
;
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:=
[* 754,
    [ [* 639,
        a^14 - 1
    *], [* 495,
        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^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 754,
    [ [* 639,
        -1
    *], [* 495,
        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:=
[* 754,
    [ [* 639,
        a^7
    *], [* 495,
        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^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 754,
    [ [* 639,
        a^7
    *], [* 495,
        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^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 754,
    [ [* 639,
        a^7
    *], [* 495,
        a^12
    *] ]
*]
;
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:=
[* 754,
    [ [* 639,
        a^7
    *], [* 495,
        a^4
    *] ]
*]
;
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:=
[* 754,
    [ [* 639,
        1
    *], [* 495,
        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:=
[* 754,
    [ [* 639,
        a^2
    *], [* 495,
        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:=
[* 754,
    [ [* 639,
        a^2 - 1
    *], [* 495,
        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:=
[* 754,
    [ [* 639,
        -1
    *], [* 495,
        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:=
[* 754,
    [ [* 639,
        a
    *], [* 495,
        -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:=
[* 754,
    [ [* 639,
        a
    *], [* 495,
        -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:=
[* 755,
    [ [* 152,
        a
    *], [* 6,
        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:=
[* 755,
    [ [* 152,
        1
    *], [* 6,
        a
    *] ]
*]
;
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:=
[* 755,
    [ [* 152,
        -1
    *], [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^70 - x^50 - x^40 - x^30 + x^10 + 1
);
eps_on_gens:=
[* 755,
    [ [* 152,
        a^75
    *], [* 6,
        a^4
    *] ]
*]
;
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:=
[* 755,
    [ [* 152,
        1
    *], [* 6,
        a
    *] ]
*]
;
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:=
[* 755,
    [ [* 152,
        -1
    *], [* 6,
        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:=
[* 755,
    [ [* 152,
        1
    *], [* 6,
        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:=
[* 755,
    [ [* 152,
        -1
    *], [* 6,
        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:=
[* 755,
    [ [* 152,
        a^25
    *], [* 6,
        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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 755,
    [ [* 152,
        a^15
    *], [* 6,
        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:=
[* 755,
    [ [* 152,
        1
    *], [* 6,
        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:=
[* 755,
    [ [* 152,
        -1
    *], [* 6,
        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:=
[* 755,
    [ [* 152,
        1
    *], [* 6,
        a
    *] ]
*]
;
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:=
[* 755,
    [ [* 152,
        -1
    *], [* 6,
        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:=
[* 755,
    [ [* 152,
        a^5
    *], [* 6,
        a^4
    *] ]
*]
;
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:=
[* 755,
    [ [* 152,
        a^3
    *], [* 6,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 755,
    [ [* 152, 1 *], [* 6, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 755,
    [ [* 152,
        -1
    *], [* 6,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 756,
    [ [* 29, 1 *], [* 325, 1 *], [* 379, -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:=
[* 756,
    [ [* 29,
        a
    *], [* 325,
        1
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        a^2
    *], [* 325,
        1
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        a
    *], [* 325,
        1
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        a - 1
    *], [* 325,
        1
    *], [* 379,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 756,
    [ [* 29, -1 *], [* 325, 1 *], [* 379, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
5
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 756,
    [ [* 29,
        1
    *], [* 325,
        a
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        a
    *], [* 325,
        a^3
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        a^2
    *], [* 325,
        a^3
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        a
    *], [* 325,
        a
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        a^4
    *], [* 325,
        a^3
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        a^5
    *], [* 325,
        a^3
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        a - 1
    *], [* 325,
        a
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        -1
    *], [* 325,
        a
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        -a
    *], [* 325,
        a
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        -a + 1
    *], [* 325,
        a
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        1
    *], [* 325,
        a - 1
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        a
    *], [* 325,
        a^3 - 1
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        a^2
    *], [* 325,
        a^3 - 1
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        a
    *], [* 325,
        a - 1
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        a^4
    *], [* 325,
        a^3 - 1
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        a^5
    *], [* 325,
        a^3 - 1
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        a - 1
    *], [* 325,
        a - 1
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        -1
    *], [* 325,
        a - 1
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        -a
    *], [* 325,
        a - 1
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        -a + 1
    *], [* 325,
        a - 1
    *], [* 379,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 756,
    [ [* 29,
        1
    *], [* 325,
        -1
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        a
    *], [* 325,
        -1
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        a^2
    *], [* 325,
        -1
    *], [* 379,
        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:=
[* 756,
    [ [* 29,
        a
    *], [* 325,
        -1
    *], [* 379,
        -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:=
[* 756,
    [ [* 29,
        a - 1
    *], [* 325,
        -1
    *], [* 379,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 756,
    [ [* 29, -1 *], [* 325, -1 *], [* 379, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^216 + x^198 - x^162 - x^144 + x^108 - x^72 - x^54 + x^18 + 1
);
eps_on_gens:=
[* 757,
    [ [* 2,
        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:=
[* 757,
    [ [* 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^18 + 1
);
eps_on_gens:=
[* 757,
    [ [* 2,
        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:=
[* 757,
    [ [* 2,
        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:=
[* 757,
    [ [* 2,
        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:=
[* 757,
    [ [* 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:=
[* 757,
    [ [* 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:=
[* 757,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^108 + x^99 - x^81 - x^72 + x^54 - x^36 - x^27 + x^9 + 1
);
eps_on_gens:=
[* 758,
    [ [* 381,
        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:=
[* 758,
    [ [* 381,
        a
    *] ]
*]
;
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:=
[* 758,
    [ [* 381,
        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:=
[* 758,
    [ [* 381,
        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:=
[* 758,
    [ [* 381,
        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:=
[* 758,
    [ [* 381,
        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:=
[* 758,
    [ [* 381,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 758,
    [ [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 759,
    [ [* 277, 1 *], [* 254, -1 *], [* 166, 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:=
[* 759,
    [ [* 277,
        a
    *], [* 254,
        1
    *], [* 166,
        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:=
[* 759,
    [ [* 277,
        a^2
    *], [* 254,
        -1
    *], [* 166,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 759,
    [ [* 277, -1 *], [* 254, 1 *], [* 166, 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:=
[* 759,
    [ [* 277,
        1
    *], [* 254,
        1
    *], [* 166,
        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:=
[* 759,
    [ [* 277,
        a^11
    *], [* 254,
        -1
    *], [* 166,
        a^5
    *] ]
*]
;
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:=
[* 759,
    [ [* 277,
        a^22
    *], [* 254,
        1
    *], [* 166,
        a^5
    *] ]
*]
;
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:=
[* 759,
    [ [* 277,
        -1
    *], [* 254,
        -1
    *], [* 166,
        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:=
[* 759,
    [ [* 277,
        1
    *], [* 254,
        -1
    *], [* 166,
        a^2
    *] ]
*]
;
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:=
[* 759,
    [ [* 277,
        a^11
    *], [* 254,
        1
    *], [* 166,
        a^10
    *] ]
*]
;
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:=
[* 759,
    [ [* 277,
        a^22
    *], [* 254,
        -1
    *], [* 166,
        a^10
    *] ]
*]
;
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:=
[* 759,
    [ [* 277,
        -1
    *], [* 254,
        1
    *], [* 166,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 759,
    [ [* 277, 1 *], [* 254, 1 *], [* 166, -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:=
[* 759,
    [ [* 277,
        a
    *], [* 254,
        -1
    *], [* 166,
        -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:=
[* 759,
    [ [* 277,
        a^2
    *], [* 254,
        1
    *], [* 166,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 759,
    [ [* 277,
        -1
    *], [* 254,
        -1
    *], [* 166,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 760,
    [ [* 191, -1 *], [* 457, 1 *], [* 381, 1 *], [* 401, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 760,
    [ [* 191, -1 *], [* 457, 1 *], [* 381, -1 *], [* 401, 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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        a
    *], [* 381,
        1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        a
    *], [* 381,
        -1
    *], [* 401,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 760,
    [ [* 191, -1 *], [* 457, -1 *], [* 381, 1 *], [* 401, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 760,
    [ [* 191, -1 *], [* 457, -1 *], [* 381, -1 *], [* 401, 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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        1
    *], [* 381,
        1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        1
    *], [* 381,
        -1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        a^9
    *], [* 381,
        1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        a^9
    *], [* 381,
        -1
    *], [* 401,
        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^3 + 1
);
eps_on_gens:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        -1
    *], [* 381,
        1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        -1
    *], [* 381,
        -1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        1
    *], [* 381,
        1
    *], [* 401,
        a^2
    *] ]
*]
;
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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        1
    *], [* 381,
        -1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        a^9
    *], [* 381,
        1
    *], [* 401,
        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^6 + 1
);
eps_on_gens:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        a^9
    *], [* 381,
        -1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        -1
    *], [* 381,
        1
    *], [* 401,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        -1
    *], [* 381,
        -1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        1
    *], [* 381,
        1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        1
    *], [* 381,
        -1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        a^3
    *], [* 381,
        1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        a^3
    *], [* 381,
        -1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        -1
    *], [* 381,
        1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        -1
    *], [* 381,
        -1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        1
    *], [* 381,
        1
    *], [* 401,
        a - 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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        1
    *], [* 381,
        -1
    *], [* 401,
        a - 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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        a^3
    *], [* 381,
        1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        a^3
    *], [* 381,
        -1
    *], [* 401,
        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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        -1
    *], [* 381,
        1
    *], [* 401,
        a - 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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        -1
    *], [* 381,
        -1
    *], [* 401,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 760,
    [ [* 191, 1 *], [* 457, 1 *], [* 381, 1 *], [* 401, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 760,
    [ [* 191, 1 *], [* 457, 1 *], [* 381, -1 *], [* 401, -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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        a
    *], [* 381,
        1
    *], [* 401,
        -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:=
[* 760,
    [ [* 191,
        -1
    *], [* 457,
        a
    *], [* 381,
        -1
    *], [* 401,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 760,
    [ [* 191, 1 *], [* 457, -1 *], [* 381, 1 *], [* 401, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 760,
    [ [* 191,
        1
    *], [* 457,
        -1
    *], [* 381,
        -1
    *], [* 401,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^288 + x^284 - x^268 - x^264 + x^248 + x^244 - x^228 - x^224 - x^212 + x^204 + 
    x^192 - x^184 - x^172 + x^164 + x^152 - x^144 + x^136 + x^124 - x^116 - 
    x^104 + x^96 + x^84 - x^76 - x^64 - x^60 + x^44 + x^40 - x^24 - x^20 + x^4 +
    1
);
eps_on_gens:=
[* 761,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 761,
    [ [* 6,
        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:=
[* 761,
    [ [* 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:=
[* 761,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 762,
    [ [* 511, 1 *], [* 509, -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:=
[* 762,
    [ [* 511,
        a
    *], [* 509,
        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:=
[* 762,
    [ [* 511,
        a^2
    *], [* 509,
        -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:=
[* 762,
    [ [* 511,
        a
    *], [* 509,
        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^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 762,
    [ [* 511,
        a^2
    *], [* 509,
        -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:=
[* 762,
    [ [* 511,
        a
    *], [* 509,
        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:=
[* 762,
    [ [* 511,
        a
    *], [* 509,
        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:=
[* 762,
    [ [* 511,
        a^2
    *], [* 509,
        -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:=
[* 762,
    [ [* 511,
        a^2
    *], [* 509,
        -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:=
[* 762,
    [ [* 511,
        a
    *], [* 509,
        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:=
[* 762,
    [ [* 511,
        a - 1
    *], [* 509,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 762,
    [ [* 511, -1 *], [* 509, 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:=
[* 763,
    [ [* 442,
        1
    *], [* 437,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 763,
    [ [* 442, 1 *], [* 437, -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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        a^18 - 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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        -a^18
    *] ]
*]
;
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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        -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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        -a^9 + 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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        -a^6
    *] ]
*]
;
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:=
[* 763,
    [ [* 442,
        a^2
    *], [* 437,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 763,
    [ [* 442,
        a^2
    *], [* 437,
        -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:=
[* 763,
    [ [* 442,
        a^2
    *], [* 437,
        -a^9 + 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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        a^3
    *] ]
*]
;
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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        -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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        -a^3 + 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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        -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^3 + 1
);
eps_on_gens:=
[* 763,
    [ [* 442,
        a^2
    *], [* 437,
        a^3
    *] ]
*]
;
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:=
[* 763,
    [ [* 442,
        a^2
    *], [* 437,
        -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:=
[* 763,
    [ [* 442,
        a^2
    *], [* 437,
        -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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        a
    *] ]
*]
;
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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        -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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        -a + 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:=
[* 763,
    [ [* 442,
        a
    *], [* 437,
        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:=
[* 763,
    [ [* 442,
        a^3
    *], [* 437,
        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:=
[* 763,
    [ [* 442,
        a - 1
    *], [* 437,
        a
    *] ]
*]
;
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:=
[* 763,
    [ [* 442,
        a - 1
    *], [* 437,
        -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:=
[* 763,
    [ [* 442,
        a - 1
    *], [* 437,
        -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:=
[* 763,
    [ [* 442,
        -1
    *], [* 437,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 763,
    [ [* 442, -1 *], [* 437, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 764,
    [ [* 401, 1 *], [* 383, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^71 - x^67 - x^66 + x^62 + x^61 - x^57 - x^56 - x^53 + x^51 + x^48 - 
    x^46 - x^43 + x^41 + x^38 - x^36 + x^34 + x^31 - x^29 - x^26 + x^24 + x^21 -
    x^19 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 764,
    [ [* 401,
        a
    *], [* 383,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^71 - x^67 - x^66 + x^62 + x^61 - x^57 - x^56 - x^53 + x^51 + x^48 - 
    x^46 - x^43 + x^41 + x^38 - x^36 + x^34 + x^31 - x^29 - x^26 + x^24 + x^21 -
    x^19 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 764,
    [ [* 401,
        a^2
    *], [* 383,
        -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:=
[* 764,
    [ [* 401,
        a
    *], [* 383,
        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:=
[* 764,
    [ [* 401,
        a^2
    *], [* 383,
        -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:=
[* 764,
    [ [* 401,
        a
    *], [* 383,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 4*x^6 + 6*x^4 + x^2 + 1
);
eps_on_gens:=
[* 764,
    [ [* 401,
        1/11*(5*a^6 - 18*a^4 + 25*a^2 + 4)
    *], [* 383,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 764,
    [ [* 401, -1 *], [* 383, 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:=
[* 765,
    [ [* 596,
        a
    *], [* 307,
        1
    *], [* 496,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 765,
    [ [* 596, -1 *], [* 307, 1 *], [* 496, 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:=
[* 765,
    [ [* 596,
        1
    *], [* 307,
        a
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        a^2 - 1
    *], [* 307,
        a^3
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        a
    *], [* 307,
        -1
    *], [* 496,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 765,
    [ [* 596, -1 *], [* 307, -1 *], [* 496, 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:=
[* 765,
    [ [* 596,
        1
    *], [* 307,
        1
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        a^8 - 1
    *], [* 307,
        1
    *], [* 496,
        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^8 + 1
);
eps_on_gens:=
[* 765,
    [ [* 596,
        a^8
    *], [* 307,
        a^12
    *], [* 496,
        a^3
    *] ]
*]
;
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:=
[* 765,
    [ [* 596,
        -1
    *], [* 307,
        a^4
    *], [* 496,
        a
    *] ]
*]
;
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:=
[* 765,
    [ [* 596,
        1
    *], [* 307,
        -1
    *], [* 496,
        1/128*a^14
    *] ]
*]
;
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:=
[* 765,
    [ [* 596,
        a^8 - 1
    *], [* 307,
        -1
    *], [* 496,
        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^8 + 1
);
eps_on_gens:=
[* 765,
    [ [* 596,
        a^8
    *], [* 307,
        -a^12
    *], [* 496,
        a^3
    *] ]
*]
;
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:=
[* 765,
    [ [* 596,
        -1
    *], [* 307,
        -a^4
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        a^4
    *], [* 307,
        1
    *], [* 496,
        a^3
    *] ]
*]
;
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:=
[* 765,
    [ [* 596,
        -1
    *], [* 307,
        1
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        1
    *], [* 307,
        a^2
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        a^4 - 1
    *], [* 307,
        a^6
    *], [* 496,
        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^4 + 1
);
eps_on_gens:=
[* 765,
    [ [* 596,
        a^4
    *], [* 307,
        -1
    *], [* 496,
        a^3
    *] ]
*]
;
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:=
[* 765,
    [ [* 596,
        -1
    *], [* 307,
        -1
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        1
    *], [* 307,
        -a^2
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        a^4 - 1
    *], [* 307,
        -a^6
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        a^2
    *], [* 307,
        1
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        -1
    *], [* 307,
        1
    *], [* 496,
        a
    *] ]
*]
;
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:=
[* 765,
    [ [* 596,
        1
    *], [* 307,
        -a^2
    *], [* 496,
        -a^2
    *] ]
*]
;
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:=
[* 765,
    [ [* 596,
        a^2 - 1
    *], [* 307,
        a^3
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        a^2
    *], [* 307,
        -1
    *], [* 496,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 765,
    [ [* 596,
        -1
    *], [* 307,
        -1
    *], [* 496,
        -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:=
[* 765,
    [ [* 596,
        1
    *], [* 307,
        a^2
    *], [* 496,
        -a^2
    *] ]
*]
;
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:=
[* 765,
    [ [* 596,
        a^2 - 1
    *], [* 307,
        -a^3
    *], [* 496,
        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:=
[* 765,
    [ [* 596,
        a
    *], [* 307,
        1
    *], [* 496,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 765,
    [ [* 596, -1 *], [* 307, 1 *], [* 496, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^2 + 9
);
eps_on_gens:=
[* 765,
    [ [* 596,
        1
    *], [* 307,
        1/6*(a^3 + a)
    *], [* 496,
        -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:=
[* 765,
    [ [* 596,
        a^2 - 1
    *], [* 307,
        a^3
    *], [* 496,
        -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:=
[* 765,
    [ [* 596,
        -a^2 + 1
    *], [* 307,
        -1
    *], [* 496,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 765,
    [ [* 596, -1 *], [* 307, -1 *], [* 496, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 766,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 766,
    [ [* 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:=
[* 767,
    [ [* 651,
        1
    *], [* 119,
        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:=
[* 767,
    [ [* 651,
        1
    *], [* 119,
        a
    *] ]
*]
;
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:=
[* 767,
    [ [* 651,
        a
    *], [* 119,
        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:=
[* 767,
    [ [* 651,
        a^3
    *], [* 119,
        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:=
[* 767,
    [ [* 651,
        a^3
    *], [* 119,
        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:=
[* 767,
    [ [* 651,
        a
    *], [* 119,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^112 + x^110 - x^106 - x^104 + x^100 + x^98 - x^94 - x^92 + 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^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:=
[* 767,
    [ [* 651,
        a^12
    *], [* 119,
        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^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:=
[* 767,
    [ [* 651,
        a^4
    *], [* 119,
        a^29
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 767,
    [ [* 651, -1 *], [* 119, 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:=
[* 767,
    [ [* 651,
        -1
    *], [* 119,
        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:=
[* 767,
    [ [* 651,
        -1
    *], [* 119,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 767,
    [ [* 651,
        -1
    *], [* 119,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 768,
    [ [* 517, 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:=
[* 768,
    [ [* 517,
        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:=
[* 768,
    [ [* 517,
        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:=
[* 768,
    [ [* 517,
        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:=
[* 768,
    [ [* 517,
        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:=
[* 768,
    [ [* 517,
        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:=
[* 768,
    [ [* 517, -1 *], [* 257, 1 *], [* 511, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 768,
    [ [* 517,
        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:=
[* 768,
    [ [* 517,
        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:=
[* 768,
    [ [* 517,
        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:=
[* 768,
    [ [* 517,
        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:=
[* 768,
    [ [* 517,
        a
    *], [* 257,
        -1
    *], [* 511,
        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:=
[* 768,
    [ [* 517,
        1/2*(-a^3 - 5*a)
    *], [* 257,
        -1
    *], [* 511,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 768,
    [ [* 517, -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^256 - x^128 + 1
);
eps_on_gens:=
[* 769,
    [ [* 11,
        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:=
[* 769,
    [ [* 11,
        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:=
[* 770,
    [ [* 211,
        1
    *], [* 617,
        a
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        1
    *], [* 617,
        1
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        1
    *], [* 617,
        -1
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        1
    *], [* 617,
        a^3
    *], [* 661,
        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:=
[* 770,
    [ [* 211, 1 *], [* 617, 1 *], [* 661, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 770,
    [ [* 211, 1 *], [* 617, -1 *], [* 661, -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:=
[* 770,
    [ [* 211,
        a
    *], [* 617,
        1
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        a
    *], [* 617,
        -1
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        a^6
    *], [* 617,
        a^15
    *], [* 661,
        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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 770,
    [ [* 211,
        a^3
    *], [* 617,
        1
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        a^3
    *], [* 617,
        -1
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        a^2
    *], [* 617,
        a^5
    *], [* 661,
        -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:=
[* 770,
    [ [* 211,
        a^4
    *], [* 617,
        a^5
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        a^6
    *], [* 617,
        1
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        a^6
    *], [* 617,
        -1
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        a^12
    *], [* 617,
        a^15
    *], [* 661,
        a^10 - 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:=
[* 770,
    [ [* 211,
        a^2
    *], [* 617,
        1
    *], [* 661,
        -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:=
[* 770,
    [ [* 211,
        a^2
    *], [* 617,
        -1
    *], [* 661,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 770,
    [ [* 211, -1 *], [* 617, 1 *], [* 661, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 770,
    [ [* 211, -1 *], [* 617, -1 *], [* 661, 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:=
[* 770,
    [ [* 211,
        -1
    *], [* 617,
        a^3
    *], [* 661,
        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:=
[* 770,
    [ [* 211,
        -1
    *], [* 617,
        1
    *], [* 661,
        a - 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:=
[* 770,
    [ [* 211,
        -1
    *], [* 617,
        -1
    *], [* 661,
        a - 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:=
[* 770,
    [ [* 211,
        -1
    *], [* 617,
        a
    *], [* 661,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 771,
    [ [* 517, 1 *], [* 515, -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:=
[* 771,
    [ [* 517,
        a
    *], [* 515,
        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:=
[* 771,
    [ [* 517,
        a
    *], [* 515,
        -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:=
[* 771,
    [ [* 517,
        a
    *], [* 515,
        -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:=
[* 771,
    [ [* 517,
        a
    *], [* 515,
        -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:=
[* 771,
    [ [* 517,
        a
    *], [* 515,
        -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:=
[* 771,
    [ [* 517,
        a
    *], [* 515,
        -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:=
[* 771,
    [ [* 517,
        a
    *], [* 515,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 771,
    [ [* 517, -1 *], [* 515, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 772,
    [ [* 5, 1 *], [* 387, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 - x^32 + 1
);
eps_on_gens:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        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:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        -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:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        -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:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        -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:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        -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:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        -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:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        -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:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        -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:=
[* 772,
    [ [* 5,
        a
    *], [* 387,
        -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:=
[* 772,
    [ [* 5,
        a - 1
    *], [* 387,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 772,
    [ [* 5, -1 *], [* 387, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 773,
    [ [* 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:=
[* 773,
    [ [* 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:=
[* 774,
    [ [* 433,
        1
    *], [* 173,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 774,
    [ [* 433, 1 *], [* 173, -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:=
[* 774,
    [ [* 433,
        a
    *], [* 173,
        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:=
[* 774,
    [ [* 433,
        a
    *], [* 173,
        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:=
[* 774,
    [ [* 433,
        a
    *], [* 173,
        -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:=
[* 774,
    [ [* 433,
        a^2
    *], [* 173,
        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:=
[* 774,
    [ [* 433,
        a^2
    *], [* 173,
        -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:=
[* 774,
    [ [* 433,
        a^2
    *], [* 173,
        -a^7 + 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:=
[* 774,
    [ [* 433,
        a
    *], [* 173,
        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:=
[* 774,
    [ [* 433,
        a^3
    *], [* 173,
        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:=
[* 774,
    [ [* 433,
        a^6
    *], [* 173,
        a^7
    *] ]
*]
;
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:=
[* 774,
    [ [* 433,
        a^2
    *], [* 173,
        -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:=
[* 774,
    [ [* 433,
        a
    *], [* 173,
        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:=
[* 774,
    [ [* 433,
        a
    *], [* 173,
        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:=
[* 774,
    [ [* 433,
        a
    *], [* 173,
        -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:=
[* 774,
    [ [* 433,
        a - 1
    *], [* 173,
        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:=
[* 774,
    [ [* 433,
        a - 1
    *], [* 173,
        -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:=
[* 774,
    [ [* 433,
        a - 1
    *], [* 173,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 774,
    [ [* 433, -1 *], [* 173, 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:=
[* 774,
    [ [* 433,
        -1
    *], [* 173,
        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^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 775,
    [ [* 652,
        a
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        1
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^3
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^6
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^7 + a^6 - a^3 - a^2 + 1
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^7 - a^2
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        -1
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        -a^3
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        -a^6
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        -a^7 - a^6 + a^3 + a^2 - 1
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        -a^7 + a^2
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^3
    *], [* 251,
        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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 775,
    [ [* 652,
        a^9
    *], [* 251,
        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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 775,
    [ [* 652,
        a^15
    *], [* 251,
        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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 775,
    [ [* 652,
        a^11 - a
    *], [* 251,
        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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 775,
    [ [* 652,
        -a^15 + a^11 + a^9 - a^3 - a
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        1
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^2
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^3
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^3 - a^2 + a - 1
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        -1
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        -a
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        -a^2
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        -a^3
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        -a^3 + a^2 - a + 1
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        1
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^3
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^6
    *], [* 251,
        a^5
    *] ]
*]
;
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:=
[* 775,
    [ [* 652,
        -1
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^3
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^5
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^7
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^7 - a^5 + a^3 - a
    *], [* 251,
        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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 775,
    [ [* 652,
        a^3
    *], [* 251,
        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:=
[* 775,
    [ [* 652,
        a^3
    *], [* 251,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 775,
    [ [* 652,
        1
    *], [* 251,
        -1
    *] ]
*]
;
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:=
[* 775,
    [ [* 652,
        1/155*(34*a^7 - 107*a^6 + 285*a^5 - 415*a^4 + 530*a^3 - 379*a^2 + 572*a 
            + 225)
    *], [* 251,
        -1
    *] ]
*]
;
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:=
[* 775,
    [ [* 652,
        1/155*(34*a^7 + 107*a^6 + 285*a^5 + 415*a^4 + 530*a^3 + 379*a^2 + 572*a 
            - 225)
    *], [* 251,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 775,
    [ [* 652,
        -1
    *], [* 251,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 776,
    [ [* 393, 1 *], [* 389, 1 *], [* 583, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 776,
    [ [* 393, 1 *], [* 389, -1 *], [* 583, -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        1
    *], [* 583,
        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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        -1
    *], [* 583,
        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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        1
    *], [* 583,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        -1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        1
    *], [* 583,
        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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        -1
    *], [* 583,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        -1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        1
    *], [* 583,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        -1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        -1
    *], [* 583,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        -1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        -1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a
    *], [* 389,
        -1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a - 1
    *], [* 389,
        1
    *], [* 583,
        -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:=
[* 776,
    [ [* 393,
        a - 1
    *], [* 389,
        -1
    *], [* 583,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 776,
    [ [* 393, -1 *], [* 389, 1 *], [* 583, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
9
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 776,
    [ [* 393,
        -1
    *], [* 389,
        -1
    *], [* 583,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 777,
    [ [* 631, 1 *], [* 556, 1 *], [* 260, -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:=
[* 777,
    [ [* 631,
        1
    *], [* 556,
        a
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        1
    *], [* 556,
        a - 1
    *], [* 260,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 777,
    [ [* 631, 1 *], [* 556, -1 *], [* 260, 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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        a^6
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        a^6 - 1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -1
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -a^6
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -a^6 + 1
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        1
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        a^3
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        a^3 - 1
    *], [* 260,
        -1
    *] ]
*]
;
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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -a^3
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -a^3 + 1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        a^2
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        a^2 - 1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -1
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -a^2
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -a^2 + 1
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a^2
    *], [* 556,
        1
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a^2
    *], [* 556,
        a^3
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a^2
    *], [* 556,
        a^3 - 1
    *], [* 260,
        -1
    *] ]
*]
;
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:=
[* 777,
    [ [* 631,
        a^2
    *], [* 556,
        -1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a^2
    *], [* 556,
        -a^3
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a^2
    *], [* 556,
        -a^3 + 1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        1
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        a
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        a - 1
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -a
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -a + 1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        1
    *], [* 260,
        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:=
[* 777,
    [ [* 631,
        a^3
    *], [* 556,
        a^2
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a^3
    *], [* 556,
        a^2 - 1
    *], [* 260,
        1
    *] ]
*]
;
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:=
[* 777,
    [ [* 631,
        a
    *], [* 556,
        -1
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a - 1
    *], [* 556,
        1
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a - 1
    *], [* 556,
        a
    *], [* 260,
        1
    *] ]
*]
;
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:=
[* 777,
    [ [* 631,
        1/13*(-2*a^3 + 3*a^2 - 14*a)
    *], [* 556,
        1/13*(-2*a^3 + 3*a^2 - 14*a)
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a - 1
    *], [* 556,
        -1
    *], [* 260,
        1
    *] ]
*]
;
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:=
[* 777,
    [ [* 631,
        1/13*(-2*a^3 + 3*a^2 - 14*a)
    *], [* 556,
        1/13*(2*a^3 - 3*a^2 + 14*a - 13)
    *], [* 260,
        -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:=
[* 777,
    [ [* 631,
        a - 1
    *], [* 556,
        -a + 1
    *], [* 260,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 777,
    [ [* 631, -1 *], [* 556, 1 *], [* 260, -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:=
[* 777,
    [ [* 631,
        -1
    *], [* 556,
        a
    *], [* 260,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 4*x^7 + 2*x^6 + 8*x^5 + x^4 - 20*x^3 + 32*x^2 - 20*x + 25
);
eps_on_gens:=
[* 777,
    [ [* 631,
        -1
    *], [* 556,
        1/3285*(92*a^7 - 322*a^6 + 96*a^5 + 565*a^4 + 484*a^3 - 1452*a^2 + 
            3532*a - 3140)
    *], [* 260,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 777,
    [ [* 631, -1 *], [* 556, -1 *], [* 260, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 778,
    [ [* 391,
        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:=
[* 778,
    [ [* 391,
        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:=
[* 779,
    [ [* 534,
        a
    *], [* 457,
        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:=
[* 779,
    [ [* 534,
        a
    *], [* 457,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 779,
    [ [* 534, -1 *], [* 457, 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:=
[* 779,
    [ [* 534,
        1
    *], [* 457,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^84 - x^60 - x^48 - x^36 + x^12 + 1
);
eps_on_gens:=
[* 779,
    [ [* 534,
        a^40
    *], [* 457,
        a^9
    *] ]
*]
;
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:=
[* 779,
    [ [* 534,
        a^20 - 1
    *], [* 457,
        a^3
    *] ]
*]
;
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:=
[* 779,
    [ [* 534,
        a^10
    *], [* 457,
        a^9
    *] ]
*]
;
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:=
[* 779,
    [ [* 534,
        a^10
    *], [* 457,
        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:=
[* 779,
    [ [* 534,
        -1
    *], [* 457,
        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:=
[* 779,
    [ [* 534,
        a^5
    *], [* 457,
        a^9
    *] ]
*]
;
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:=
[* 779,
    [ [* 534,
        a^5
    *], [* 457,
        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:=
[* 779,
    [ [* 534,
        -1
    *], [* 457,
        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:=
[* 779,
    [ [* 534,
        1
    *], [* 457,
        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:=
[* 779,
    [ [* 534,
        a^8
    *], [* 457,
        a^9
    *] ]
*]
;
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:=
[* 779,
    [ [* 534,
        a^4 - 1
    *], [* 457,
        a^3
    *] ]
*]
;
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:=
[* 779,
    [ [* 534,
        a^5
    *], [* 457,
        a^18
    *] ]
*]
;
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:=
[* 779,
    [ [* 534,
        a^5
    *], [* 457,
        a^6
    *] ]
*]
;
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:=
[* 779,
    [ [* 534,
        -1
    *], [* 457,
        -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:=
[* 779,
    [ [* 534,
        a^2
    *], [* 457,
        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:=
[* 779,
    [ [* 534,
        a^2
    *], [* 457,
        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:=
[* 779,
    [ [* 534,
        -1
    *], [* 457,
        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:=
[* 779,
    [ [* 534,
        a
    *], [* 457,
        -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:=
[* 779,
    [ [* 534,
        a
    *], [* 457,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 779,
    [ [* 534,
        -1
    *], [* 457,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 780,
    [ [* 301, 1 *], [* 391, -1 *], [* 157, 1 *], [* 521, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 780,
    [ [* 301, 1 *], [* 391, 1 *], [* 157, 1 *], [* 521, -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:=
[* 780,
    [ [* 301,
        1
    *], [* 391,
        1
    *], [* 157,
        a
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        1
    *], [* 391,
        -1
    *], [* 157,
        a
    *], [* 521,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 780,
    [ [* 301, 1 *], [* 391, -1 *], [* 157, -1 *], [* 521, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 780,
    [ [* 301, 1 *], [* 391, 1 *], [* 157, -1 *], [* 521, -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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        1
    *], [* 157,
        1
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        -1
    *], [* 157,
        1
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        -1
    *], [* 157,
        a^3
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        1
    *], [* 157,
        a^3
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        1
    *], [* 157,
        -1
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        -1
    *], [* 157,
        -1
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        -1
    *], [* 157,
        -a^3
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        1
    *], [* 157,
        -a^3
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        -1
    *], [* 157,
        1
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        1
    *], [* 157,
        1
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a^2
    *], [* 391,
        1
    *], [* 157,
        a^3
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a^2
    *], [* 391,
        -1
    *], [* 157,
        a^3
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        -1
    *], [* 157,
        -1
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        1
    *], [* 157,
        -1
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        1
    *], [* 157,
        1
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        -1
    *], [* 157,
        1
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        -1
    *], [* 157,
        a
    *], [* 521,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^2 + 9
);
eps_on_gens:=
[* 780,
    [ [* 301,
        1/6*(a^3 + a)
    *], [* 391,
        1
    *], [* 157,
        1/6*(a^3 + a)
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        1
    *], [* 157,
        -1
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        -1
    *], [* 157,
        -1
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a
    *], [* 391,
        -1
    *], [* 157,
        -a
    *], [* 521,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^2 + 9
);
eps_on_gens:=
[* 780,
    [ [* 301,
        1/6*(a^3 + a)
    *], [* 391,
        1
    *], [* 157,
        1/6*(-a^3 - a)
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a - 1
    *], [* 391,
        -1
    *], [* 157,
        1
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a - 1
    *], [* 391,
        1
    *], [* 157,
        1
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a^2 - 1
    *], [* 391,
        1
    *], [* 157,
        a^3
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a^2 - 1
    *], [* 391,
        -1
    *], [* 157,
        a^3
    *], [* 521,
        -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:=
[* 780,
    [ [* 301,
        a - 1
    *], [* 391,
        -1
    *], [* 157,
        -1
    *], [* 521,
        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:=
[* 780,
    [ [* 301,
        a - 1
    *], [* 391,
        1
    *], [* 157,
        -1
    *], [* 521,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 780,
    [ [* 301, -1 *], [* 391, -1 *], [* 157, 1 *], [* 521, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 780,
    [ [* 301, -1 *], [* 391, 1 *], [* 157, 1 *], [* 521, -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:=
[* 780,
    [ [* 301,
        -1
    *], [* 391,
        1
    *], [* 157,
        a
    *], [* 521,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 8*x^6 + 8*x^5 + 22*x^4 + 16*x^3 + 24*x^2 + 40*x + 17
);
eps_on_gens:=
[* 780,
    [ [* 301,
        -1
    *], [* 391,
        -1
    *], [* 157,
        1/14*(-4*a^7 + 3*a^6 - 34*a^5 - 6*a^4 - 80*a^3 - a^2 - 82*a - 90)
    *], [* 521,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 780,
    [ [* 301, -1 *], [* 391, -1 *], [* 157, -1 *], [* 521, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 780,
    [ [* 301, -1 *], [* 391, 1 *], [* 157, -1 *], [* 521, -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:=
[* 781,
    [ [* 78,
        1
    *], [* 640,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 781,
    [ [* 78, 1 *], [* 640, -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:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        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:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        a^14
    *] ]
*]
;
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:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        a^21 - a^14 + a^7 - 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:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        -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:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        -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^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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        a^21
    *] ]
*]
;
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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        -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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        -a^14
    *] ]
*]
;
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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        -a^21 + a^14 - a^7 + 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:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        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:=
[* 781,
    [ [* 78,
        a^5
    *], [* 640,
        a^14
    *] ]
*]
;
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:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        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:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        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:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        a^3 - a^2 + 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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        -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:=
[* 781,
    [ [* 78,
        a
    *], [* 640,
        -a^3
    *] ]
*]
;
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:=
[* 781,
    [ [* 78,
        a^10
    *], [* 640,
        a^7
    *] ]
*]
;
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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        -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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        a^3
    *] ]
*]
;
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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        -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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        -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:=
[* 781,
    [ [* 78,
        a^2
    *], [* 640,
        -a^3 + a^2 - a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 781,
    [ [* 78, -1 *], [* 640, 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:=
[* 781,
    [ [* 78,
        -1
    *], [* 640,
        a^2
    *] ]
*]
;
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:=
[* 782,
    [ [* 139,
        a
    *], [* 511,
        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:=
[* 782,
    [ [* 139,
        1
    *], [* 511,
        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:=
[* 782,
    [ [* 139,
        a^11
    *], [* 511,
        a^4
    *] ]
*]
;
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:=
[* 782,
    [ [* 139,
        a^11
    *], [* 511,
        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:=
[* 782,
    [ [* 139,
        -1
    *], [* 511,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 782,
    [ [* 139,
        a^11
    *], [* 511,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 782,
    [ [* 139, 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:=
[* 782,
    [ [* 139,
        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:=
[* 782,
    [ [* 139,
        a
    *], [* 511,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 782,
    [ [* 139, -1 *], [* 511, -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:=
[* 783,
    [ [* 407,
        a
    *], [* 379,
        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:=
[* 783,
    [ [* 407,
        a
    *], [* 379,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 783,
    [ [* 407, -1 *], [* 379, 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:=
[* 783,
    [ [* 407,
        1
    *], [* 379,
        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:=
[* 783,
    [ [* 407,
        a^28
    *], [* 379,
        a^9
    *] ]
*]
;
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:=
[* 783,
    [ [* 407,
        a^14 - 1
    *], [* 379,
        a^3
    *] ]
*]
;
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:=
[* 783,
    [ [* 407,
        a^7
    *], [* 379,
        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^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 783,
    [ [* 407,
        a^7
    *], [* 379,
        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^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 783,
    [ [* 407,
        -1
    *], [* 379,
        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:=
[* 783,
    [ [* 407,
        a^7
    *], [* 379,
        a^18
    *] ]
*]
;
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:=
[* 783,
    [ [* 407,
        a^7
    *], [* 379,
        a^6
    *] ]
*]
;
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:=
[* 783,
    [ [* 407,
        -1
    *], [* 379,
        a^2
    *] ]
*]
;
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:=
[* 783,
    [ [* 407,
        1
    *], [* 379,
        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:=
[* 783,
    [ [* 407,
        a^4
    *], [* 379,
        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:=
[* 783,
    [ [* 407,
        a^2 - 1
    *], [* 379,
        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:=
[* 783,
    [ [* 407,
        a
    *], [* 379,
        -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:=
[* 783,
    [ [* 407,
        a
    *], [* 379,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 783,
    [ [* 407,
        -1
    *], [* 379,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 784,
    [ [* 197,
        1
    *], [* 689,
        1
    *], [* 687,
        -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:=
[* 784,
    [ [* 197,
        a
    *], [* 689,
        1
    *], [* 687,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 784,
    [ [* 197, -1 *], [* 689, 1 *], [* 687, -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:=
[* 784,
    [ [* 197,
        1
    *], [* 689,
        a
    *], [* 687,
        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:=
[* 784,
    [ [* 197,
        a^21
    *], [* 689,
        a^2
    *], [* 687,
        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:=
[* 784,
    [ [* 197,
        -1
    *], [* 689,
        a
    *], [* 687,
        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:=
[* 784,
    [ [* 197,
        1
    *], [* 689,
        a^2
    *], [* 687,
        -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:=
[* 784,
    [ [* 197,
        a^21
    *], [* 689,
        a^4
    *], [* 687,
        -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:=
[* 784,
    [ [* 197,
        -1
    *], [* 689,
        a^2
    *], [* 687,
        -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:=
[* 784,
    [ [* 197,
        1
    *], [* 689,
        a
    *], [* 687,
        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:=
[* 784,
    [ [* 197,
        a^7
    *], [* 689,
        a^2
    *], [* 687,
        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:=
[* 784,
    [ [* 197,
        -1
    *], [* 689,
        a
    *], [* 687,
        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:=
[* 784,
    [ [* 197,
        1
    *], [* 689,
        a^2
    *], [* 687,
        -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:=
[* 784,
    [ [* 197,
        a^7
    *], [* 689,
        a^4
    *], [* 687,
        -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:=
[* 784,
    [ [* 197,
        -1
    *], [* 689,
        a^2
    *], [* 687,
        -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:=
[* 784,
    [ [* 197,
        1
    *], [* 689,
        a
    *], [* 687,
        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:=
[* 784,
    [ [* 197,
        a^3
    *], [* 689,
        a^2
    *], [* 687,
        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:=
[* 784,
    [ [* 197,
        -1
    *], [* 689,
        a
    *], [* 687,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 + 2*x^2 + 4
);
eps_on_gens:=
[* 784,
    [ [* 197,
        1
    *], [* 689,
        1/2*a^2
    *], [* 687,
        -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:=
[* 784,
    [ [* 197,
        a^3
    *], [* 689,
        a^2 - 1
    *], [* 687,
        -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:=
[* 784,
    [ [* 197,
        -1
    *], [* 689,
        a - 1
    *], [* 687,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 784,
    [ [* 197, 1 *], [* 689, -1 *], [* 687, 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:=
[* 784,
    [ [* 197,
        a
    *], [* 689,
        -1
    *], [* 687,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 784,
    [ [* 197, -1 *], [* 689, -1 *], [* 687, 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:=
[* 785,
    [ [* 476,
        1
    *], [* 472,
        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^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:=
[* 785,
    [ [* 476,
        a
    *], [* 472,
        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:=
[* 785,
    [ [* 476,
        a
    *], [* 472,
        -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:=
[* 785,
    [ [* 476,
        a^2
    *], [* 472,
        a^39
    *] ]
*]
;
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:=
[* 785,
    [ [* 476,
        a
    *], [* 472,
        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:=
[* 785,
    [ [* 476,
        a
    *], [* 472,
        -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:=
[* 785,
    [ [* 476,
        a^4
    *], [* 472,
        a^39
    *] ]
*]
;
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:=
[* 785,
    [ [* 476,
        a^2
    *], [* 472,
        a^13
    *] ]
*]
;
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:=
[* 785,
    [ [* 476,
        a^4
    *], [* 472,
        a^13
    *] ]
*]
;
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:=
[* 785,
    [ [* 476,
        a
    *], [* 472,
        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:=
[* 785,
    [ [* 476,
        a
    *], [* 472,
        -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:=
[* 785,
    [ [* 476,
        a^2
    *], [* 472,
        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:=
[* 785,
    [ [* 476,
        a
    *], [* 472,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^2 + 9
);
eps_on_gens:=
[* 785,
    [ [* 476,
        1/6*(a^3 + a)
    *], [* 472,
        -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:=
[* 785,
    [ [* 476,
        a^2 - 1
    *], [* 472,
        a^3
    *] ]
*]
;
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:=
[* 785,
    [ [* 476,
        -1
    *], [* 472,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 786,
    [ [* 133, 1 *], [* 263, -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^43 - x^42 + x^38 + x^37 - x^35 - x^34 - x^33 - x^32 + x^30 + 
    x^29 + x^28 + x^27 - x^25 - x^24 - x^23 + x^21 + x^20 + x^19 + x^18 - x^16 -
    x^15 - x^14 - x^13 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 786,
    [ [* 133,
        a
    *], [* 263,
        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^43 - x^42 + x^38 + x^37 - x^35 - x^34 - x^33 - x^32 + x^30 + 
    x^29 + x^28 + x^27 - x^25 - x^24 - x^23 + x^21 + x^20 + x^19 + x^18 - x^16 -
    x^15 - x^14 - x^13 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 786,
    [ [* 133,
        a^2
    *], [* 263,
        -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:=
[* 786,
    [ [* 133,
        a
    *], [* 263,
        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:=
[* 786,
    [ [* 133,
        a^2
    *], [* 263,
        -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:=
[* 786,
    [ [* 133,
        a
    *], [* 263,
        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:=
[* 786,
    [ [* 133,
        a^2
    *], [* 263,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 786,
    [ [* 133, -1 *], [* 263, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^260 + x^259 - x^257 - x^256 + x^254 + x^253 - x^251 - x^250 + x^248 + x^247 - 
    x^245 - x^244 + x^242 + x^241 - x^239 - x^238 + x^236 + x^235 - x^233 - 
    x^232 + x^230 + x^229 - x^227 - x^226 + x^224 + x^223 - x^221 - x^220 + 
    x^218 + x^217 - x^215 - x^214 + 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^129 + x^127 + x^126 - 
    x^124 - x^123 + x^121 + x^120 - x^118 - x^117 + x^115 + x^114 - x^112 - 
    x^111 + x^109 + x^108 - 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:=
[* 787,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 787,
    [ [* 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:=
[* 787,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 787,
    [ [* 2,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 788,
    [ [* 593, 1 *], [* 395, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^84 - x^70 + x^56 - x^42 + x^28 - x^14 + 1
);
eps_on_gens:=
[* 788,
    [ [* 593,
        a
    *], [* 395,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1
);
eps_on_gens:=
[* 788,
    [ [* 593,
        a
    *], [* 395,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1
);
eps_on_gens:=
[* 788,
    [ [* 593,
        a^2
    *], [* 395,
        -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:=
[* 788,
    [ [* 593,
        a
    *], [* 395,
        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:=
[* 788,
    [ [* 593,
        a
    *], [* 395,
        -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:=
[* 788,
    [ [* 593,
        a^2
    *], [* 395,
        -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:=
[* 788,
    [ [* 593,
        a
    *], [* 395,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 788,
    [ [* 593,
        -1
    *], [* 395,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 789,
    [ [* 268, 1 *], [* 527, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 789,
    [ [* 268,
        a
    *], [* 527,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 789,
    [ [* 268,
        a^2
    *], [* 527,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 789,
    [ [* 268, -1 *], [* 527, 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:=
[* 790,
    [ [* 317,
        a
    *], [* 161,
        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:=
[* 790,
    [ [* 317,
        1
    *], [* 161,
        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^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:=
[* 790,
    [ [* 317,
        -1
    *], [* 161,
        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^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:=
[* 790,
    [ [* 317,
        a^39
    *], [* 161,
        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^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 790,
    [ [* 317,
        1
    *], [* 161,
        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:=
[* 790,
    [ [* 317,
        -1
    *], [* 161,
        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^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 
    1
);
eps_on_gens:=
[* 790,
    [ [* 317,
        a^13
    *], [* 161,
        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:=
[* 790,
    [ [* 317,
        1
    *], [* 161,
        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:=
[* 790,
    [ [* 317,
        -1
    *], [* 161,
        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:=
[* 790,
    [ [* 317,
        a^3
    *], [* 161,
        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:=
[* 790,
    [ [* 317, 1 *], [* 161, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 790,
    [ [* 317, -1 *], [* 161, -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:=
[* 791,
    [ [* 227,
        a
    *], [* 568,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 791,
    [ [* 227, -1 *], [* 568, 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:=
[* 791,
    [ [* 227,
        1
    *], [* 568,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^88 - x^72 - x^64 + x^48 - x^32 - x^24 + x^8 + 1
);
eps_on_gens:=
[* 791,
    [ [* 227,
        a^56 - 1
    *], [* 568,
        a^3
    *] ]
*]
;
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^36 - x^32 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 791,
    [ [* 227,
        a^28
    *], [* 568,
        a^3
    *] ]
*]
;
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:=
[* 791,
    [ [* 227,
        -1
    *], [* 568,
        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:=
[* 791,
    [ [* 227,
        a^14
    *], [* 568,
        a^3
    *] ]
*]
;
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:=
[* 791,
    [ [* 227,
        -1
    *], [* 568,
        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:=
[* 791,
    [ [* 227,
        1
    *], [* 568,
        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:=
[* 791,
    [ [* 227,
        a^8 - 1
    *], [* 568,
        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:=
[* 791,
    [ [* 227,
        a^7
    *], [* 568,
        a^3
    *] ]
*]
;
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:=
[* 791,
    [ [* 227,
        -1
    *], [* 568,
        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:=
[* 791,
    [ [* 227,
        a^4
    *], [* 568,
        a^3
    *] ]
*]
;
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:=
[* 791,
    [ [* 227,
        -1
    *], [* 568,
        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:=
[* 791,
    [ [* 227,
        a^7
    *], [* 568,
        a^6
    *] ]
*]
;
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:=
[* 791,
    [ [* 227,
        -1
    *], [* 568,
        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:=
[* 791,
    [ [* 227,
        a^2
    *], [* 568,
        a^3
    *] ]
*]
;
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:=
[* 791,
    [ [* 227,
        -1
    *], [* 568,
        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:=
[* 791,
    [ [* 227,
        a
    *], [* 568,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
15
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 791,
    [ [* 227,
        -1
    *], [* 568,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 792,
    [ [* 353, 1 *], [* 145, 1 *], [* 199, -1 *], [* 397, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 792,
    [ [* 353, 1 *], [* 145, 1 *], [* 199, -1 *], [* 397, -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:=
[* 792,
    [ [* 353,
        a
    *], [* 145,
        1
    *], [* 199,
        1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        a
    *], [* 145,
        1
    *], [* 199,
        1
    *], [* 397,
        -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:=
[* 792,
    [ [* 353,
        a - 1
    *], [* 145,
        1
    *], [* 199,
        -1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        a - 1
    *], [* 145,
        1
    *], [* 199,
        -1
    *], [* 397,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 792,
    [ [* 353, -1 *], [* 145, 1 *], [* 199, 1 *], [* 397, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 792,
    [ [* 353, -1 *], [* 145, 1 *], [* 199, 1 *], [* 397, -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:=
[* 792,
    [ [* 353,
        1
    *], [* 145,
        a
    *], [* 199,
        1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        1
    *], [* 145,
        a
    *], [* 199,
        1
    *], [* 397,
        -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:=
[* 792,
    [ [* 353,
        a^5
    *], [* 145,
        a^3
    *], [* 199,
        -1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        a^5
    *], [* 145,
        a^3
    *], [* 199,
        -1
    *], [* 397,
        -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:=
[* 792,
    [ [* 353,
        a^5 - 1
    *], [* 145,
        a^3
    *], [* 199,
        1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        a^5 - 1
    *], [* 145,
        a^3
    *], [* 199,
        1
    *], [* 397,
        -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:=
[* 792,
    [ [* 353,
        -1
    *], [* 145,
        a
    *], [* 199,
        -1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        -1
    *], [* 145,
        a
    *], [* 199,
        -1
    *], [* 397,
        -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:=
[* 792,
    [ [* 353,
        1
    *], [* 145,
        a^2
    *], [* 199,
        -1
    *], [* 397,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 792,
    [ [* 353,
        1
    *], [* 145,
        a^2
    *], [* 199,
        -1
    *], [* 397,
        -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:=
[* 792,
    [ [* 353,
        a^5
    *], [* 145,
        a^6
    *], [* 199,
        1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        a^5
    *], [* 145,
        a^6
    *], [* 199,
        1
    *], [* 397,
        -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:=
[* 792,
    [ [* 353,
        a^5 - 1
    *], [* 145,
        a^6
    *], [* 199,
        -1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        a^5 - 1
    *], [* 145,
        a^6
    *], [* 199,
        -1
    *], [* 397,
        -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:=
[* 792,
    [ [* 353,
        -1
    *], [* 145,
        a^2
    *], [* 199,
        1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        -1
    *], [* 145,
        a^2
    *], [* 199,
        1
    *], [* 397,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 792,
    [ [* 353, 1 *], [* 145, -1 *], [* 199, 1 *], [* 397, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 792,
    [ [* 353, 1 *], [* 145, -1 *], [* 199, 1 *], [* 397, -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:=
[* 792,
    [ [* 353,
        a
    *], [* 145,
        -1
    *], [* 199,
        -1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        a
    *], [* 145,
        -1
    *], [* 199,
        -1
    *], [* 397,
        -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:=
[* 792,
    [ [* 353,
        a - 1
    *], [* 145,
        -1
    *], [* 199,
        1
    *], [* 397,
        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:=
[* 792,
    [ [* 353,
        a - 1
    *], [* 145,
        -1
    *], [* 199,
        1
    *], [* 397,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 792,
    [ [* 353, -1 *], [* 145, -1 *], [* 199, -1 *], [* 397, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 792,
    [ [* 353, -1 *], [* 145, -1 *], [* 199, -1 *], [* 397, -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:=
[* 793,
    [ [* 612,
        1
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        1
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        -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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        -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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        -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:=
[* 793,
    [ [* 612,
        a^2
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^2
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^2
    *], [* 184,
        a^15 - 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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^3
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^3
    *], [* 184,
        a^10 - 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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        -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:=
[* 793,
    [ [* 612,
        a^4
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^4
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^4
    *], [* 184,
        a^15 - 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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        -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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        -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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        -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:=
[* 793,
    [ [* 612,
        a^6
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^2
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^2
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^2
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^2
    *], [* 184,
        a^3 - 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:=
[* 793,
    [ [* 612,
        a^12
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^4
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^3
    *], [* 184,
        a^2
    *] ]
*]
;
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:=
[* 793,
    [ [* 612,
        a^3
    *], [* 184,
        a^2 - 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:=
[* 793,
    [ [* 612,
        a
    *], [* 184,
        -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:=
[* 793,
    [ [* 612,
        a^2 - 1
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^2 - 1
    *], [* 184,
        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:=
[* 793,
    [ [* 612,
        a^2 - 1
    *], [* 184,
        a^3 - a
    *] ]
*]
;
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:=
[* 793,
    [ [* 612,
        -1
    *], [* 184,
        a
    *] ]
*]
;
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:=
[* 793,
    [ [* 612,
        -1
    *], [* 184,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^114 - x^102 - x^96 + x^84 + x^78 - x^66 - x^60 - x^54 + x^42 + x^36 - 
    x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 794,
    [ [* 5,
        a
    *] ]
*]
;
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:=
[* 794,
    [ [* 5,
        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:=
[* 794,
    [ [* 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^6 + 1
);
eps_on_gens:=
[* 794,
    [ [* 5,
        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:=
[* 794,
    [ [* 5,
        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:=
[* 794,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 795,
    [ [* 691, 1 *], [* 637, 1 *], [* 266, -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:=
[* 795,
    [ [* 691,
        1
    *], [* 637,
        a
    *], [* 266,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 795,
    [ [* 691, 1 *], [* 637, -1 *], [* 266, -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:=
[* 795,
    [ [* 691,
        a
    *], [* 637,
        1
    *], [* 266,
        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:=
[* 795,
    [ [* 691,
        a
    *], [* 637,
        a^13
    *], [* 266,
        -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:=
[* 795,
    [ [* 691,
        a
    *], [* 637,
        -1
    *], [* 266,
        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:=
[* 795,
    [ [* 691,
        a
    *], [* 637,
        -a^13
    *], [* 266,
        -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:=
[* 795,
    [ [* 691,
        a
    *], [* 637,
        1
    *], [* 266,
        -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:=
[* 795,
    [ [* 691,
        a^2
    *], [* 637,
        a^13
    *], [* 266,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - 2*x^23 + 25*x^22 - 40*x^21 + 254*x^20 - 282*x^19 + 1296*x^18 - 662*x^17 +
    3580*x^16 + 492*x^15 + 6713*x^14 + 4654*x^13 + 11090*x^12 + 9542*x^11 + 
    14529*x^10 + 13166*x^9 + 12563*x^8 + 8494*x^7 + 5737*x^6 + 10770*x^5 + 
    5792*x^4 + 1178*x^3 + 7320*x^2 + 1674*x + 677
);
eps_on_gens:=
[* 795,
    [ [* 691,
        1/9419506721023201368609935910231481949956894136233*(464018169910257871\
        8493836795387947001763423694*a^23 - 10225593708403772787086853722862973\
            194962622162*a^22 + 11658162806720475737863133974134614035916865656\
            8*a^21 - 206498180609278325476767423893231886983171162635*a^20 + 
            1183741435678998721086429543900716169157243747878*a^19 - 
            1494140217323624285593412673013662165093891543121*a^18 + 
            5952076745637654776091765134221847706830500697884*a^17 - 
            3916607221595095539517261516701872744386888753481*a^16 + 
            15609323407537234250997351245712775083286643112628*a^15 - 
            236494217126466784095727755615380721515431932845*a^14 + 
            26479683334099603959885582778050637628499872326776*a^13 + 
            14492060672112219138025978672504171890183794829969*a^12 + 
            39960618510556631951856749994603546799416608968126*a^11 + 
            27845193532254691142636189683269144292996703255210*a^10 + 
            47202351883302572519680014217964355139070094051148*a^9 + 
            36739665549773665017043884756979512906832873596654*a^8 + 
            31411492161994141624872735483701183845642577464492*a^7 + 
            13816624254977142474521764572845961212344210078565*a^6 + 
            8076643213529274328455363533518569991863423850486*a^5 + 
            35971475292525882650070452360915905878243398431660*a^4 + 
            12930727317674526044950966212020677863359675831448*a^3 - 
            14003591363599533734402098821816342230213076775316*a^2 + 
            28979023435713829321190094734077426028006136587912*a + 
            1105711497836275292681421794367599259234228809827)
    *], [* 637,
        -1
    *], [* 266,
        -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:=
[* 795,
    [ [* 691,
        a^2
    *], [* 637,
        1
    *], [* 266,
        -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:=
[* 795,
    [ [* 691,
        a^4
    *], [* 637,
        a^13
    *], [* 266,
        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:=
[* 795,
    [ [* 691,
        a^2
    *], [* 637,
        -1
    *], [* 266,
        -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:=
[* 795,
    [ [* 691,
        a
    *], [* 637,
        1
    *], [* 266,
        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:=
[* 795,
    [ [* 691,
        a
    *], [* 637,
        a
    *], [* 266,
        -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:=
[* 795,
    [ [* 691,
        a
    *], [* 637,
        -1
    *], [* 266,
        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:=
[* 795,
    [ [* 691,
        a
    *], [* 637,
        -a
    *], [* 266,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 795,
    [ [* 691, -1 *], [* 637, 1 *], [* 266, -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:=
[* 795,
    [ [* 691,
        -1
    *], [* 637,
        a
    *], [* 266,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 795,
    [ [* 691,
        -1
    *], [* 637,
        -1
    *], [* 266,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 796,
    [ [* 401, 1 *], [* 399, -1 *] ]
*]
;
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:=
[* 796,
    [ [* 401,
        a
    *], [* 399,
        1
    *] ]
*]
;
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:=
[* 796,
    [ [* 401,
        a^2
    *], [* 399,
        -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:=
[* 796,
    [ [* 401,
        a
    *], [* 399,
        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:=
[* 796,
    [ [* 401,
        a^2
    *], [* 399,
        -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:=
[* 796,
    [ [* 401,
        a
    *], [* 399,
        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:=
[* 796,
    [ [* 401,
        a
    *], [* 399,
        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:=
[* 796,
    [ [* 401,
        a^2
    *], [* 399,
        -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:=
[* 796,
    [ [* 401,
        a^2
    *], [* 399,
        -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:=
[* 796,
    [ [* 401,
        a
    *], [* 399,
        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:=
[* 796,
    [ [* 401,
        a - 1
    *], [* 399,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 796,
    [ [* 401, -1 *], [* 399, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 797,
    [ [* 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:=
[* 797,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 798,
    [ [* 211, 1 *], [* 115, 1 *], [* 533, -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:=
[* 798,
    [ [* 211,
        1
    *], [* 115,
        a
    *], [* 533,
        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:=
[* 798,
    [ [* 211,
        1
    *], [* 115,
        a - 1
    *], [* 533,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 798,
    [ [* 211, 1 *], [* 115, -1 *], [* 533, 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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        1
    *], [* 533,
        1
    *] ]
*]
;
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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        a^3
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        a^3 - 1
    *], [* 533,
        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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        -1
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        -a^3
    *], [* 533,
        1
    *] ]
*]
;
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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        -a^3 + 1
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a^2
    *], [* 115,
        1
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a^2
    *], [* 115,
        a^3
    *], [* 533,
        1
    *] ]
*]
;
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:=
[* 798,
    [ [* 211,
        a^2
    *], [* 115,
        a^3 - 1
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a^2
    *], [* 115,
        -1
    *], [* 533,
        1
    *] ]
*]
;
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:=
[* 798,
    [ [* 211,
        a^2
    *], [* 115,
        -a^3
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a^2
    *], [* 115,
        -a^3 + 1
    *], [* 533,
        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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        1
    *], [* 533,
        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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        a
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        a - 1
    *], [* 533,
        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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        -1
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        -a
    *], [* 533,
        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:=
[* 798,
    [ [* 211,
        a
    *], [* 115,
        -a + 1
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a - 1
    *], [* 115,
        1
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a - 1
    *], [* 115,
        a
    *], [* 533,
        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:=
[* 798,
    [ [* 211,
        a - 1
    *], [* 115,
        a - 1
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a - 1
    *], [* 115,
        -1
    *], [* 533,
        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:=
[* 798,
    [ [* 211,
        a - 1
    *], [* 115,
        -a
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        a - 1
    *], [* 115,
        -a + 1
    *], [* 533,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 798,
    [ [* 211, -1 *], [* 115, 1 *], [* 533, 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:=
[* 798,
    [ [* 211,
        -1
    *], [* 115,
        a
    *], [* 533,
        -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:=
[* 798,
    [ [* 211,
        -1
    *], [* 115,
        a - 1
    *], [* 533,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 798,
    [ [* 211, -1 *], [* 115, -1 *], [* 533, -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:=
[* 799,
    [ [* 52,
        1
    *], [* 377,
        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:=
[* 799,
    [ [* 52,
        a
    *], [* 377,
        1
    *] ]
*]
;
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:=
[* 799,
    [ [* 52,
        a^4
    *], [* 377,
        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:=
[* 799,
    [ [* 52,
        a^2
    *], [* 377,
        a^23
    *] ]
*]
;
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:=
[* 799,
    [ [* 52,
        a
    *], [* 377,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^176 - x^168 + x^160 - x^152 + x^144 - x^136 + x^128 - x^120 + x^112 - x^104 + 
    x^96 - x^88 + x^80 - x^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 -
    x^8 + 1
);
eps_on_gens:=
[* 799,
    [ [* 52,
        a^16
    *], [* 377,
        a^23
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 799,
    [ [* 52, -1 *], [* 377, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - 4*x^15 + 10*x^14 - 20*x^13 + 39*x^12 - 64*x^11 + 82*x^10 - 60*x^9 - 
    64*x^8 + 156*x^7 - 158*x^6 + 72*x^5 + 174*x^4 - 188*x^3 + 76*x^2 - 12*x + 1
);
eps_on_gens:=
[* 799,
    [ [* 52,
        -1
    *], [* 377,
        1/990564232799*(-52865615140*a^15 + 115828037050*a^14 - 
            180440236180*a^13 + 236290406835*a^12 - 478014530960*a^11 + 
            304091807170*a^10 + 529065235620*a^9 - 2613145197230*a^8 + 
            6558705809020*a^7 - 375329858550*a^6 - 4070222013944*a^5 + 
            6255207192050*a^4 - 11734326623180*a^3 - 8185634322060*a^2 + 
            7743899186915*a - 1556358890664)
    *] ]
*]
;
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 + 7*x^6 + 10*x^5 + 16*x^4 + 10*x^3 - 2*x^2 - 4*x + 1
);
eps_on_gens:=
[* 799,
    [ [* 52,
        -1
    *], [* 377,
        1/541*(600*a^7 + 1305*a^6 + 4496*a^5 + 6895*a^4 + 11280*a^3 + 8515*a^2 +
            1575*a - 1651)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 799,
    [ [* 52,
        -1
    *], [* 377,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 800,
    [ [* 577, 1 *], [* 351, -1 *], [* 101, 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:=
[* 800,
    [ [* 577,
        1
    *], [* 351,
        -1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        1
    *], [* 351,
        -1
    *], [* 101,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 800,
    [ [* 577, 1 *], [* 351, -1 *], [* 101, -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:=
[* 800,
    [ [* 577,
        a
    *], [* 351,
        1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a^2
    *], [* 351,
        1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a
    *], [* 351,
        1
    *], [* 101,
        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^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 800,
    [ [* 577,
        a^2
    *], [* 351,
        1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a
    *], [* 351,
        1
    *], [* 101,
        -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:=
[* 800,
    [ [* 577,
        a
    *], [* 351,
        1
    *], [* 101,
        -a^5
    *] ]
*]
;
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:=
[* 800,
    [ [* 577,
        a
    *], [* 351,
        -1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a^4
    *], [* 351,
        -1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a^2
    *], [* 351,
        -1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a
    *], [* 351,
        -1
    *], [* 101,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 800,
    [ [* 577,
        -a^2
    *], [* 351,
        -1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a^8
    *], [* 351,
        -1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a^4
    *], [* 351,
        -1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a^2
    *], [* 351,
        -1
    *], [* 101,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 800,
    [ [* 577,
        a
    *], [* 351,
        1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a^2
    *], [* 351,
        1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a
    *], [* 351,
        1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a^2
    *], [* 351,
        1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        a
    *], [* 351,
        1
    *], [* 101,
        -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:=
[* 800,
    [ [* 577,
        a
    *], [* 351,
        1
    *], [* 101,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 800,
    [ [* 577, -1 *], [* 351, -1 *], [* 101, 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:=
[* 800,
    [ [* 577,
        -1
    *], [* 351,
        -1
    *], [* 101,
        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:=
[* 800,
    [ [* 577,
        -1
    *], [* 351,
        -1
    *], [* 101,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 800,
    [ [* 577,
        -1
    *], [* 351,
        -1
    *], [* 101,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
