Qx<x>:=PolynomialRing(Rationals());
dimensions_list:=[**];
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 801,
    [ [* 713,
        a
    *], [* 181,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 801,
    [ [* 713, -1 *], [* 181, 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:=
[* 801,
    [ [* 713,
        1
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        a^44 - 1
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        a^22
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        -1
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        a^11
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        -1
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        a^11
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        -1
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        1
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        a^4 - 1
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        a^2
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        -1
    *], [* 181,
        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:=
[* 801,
    [ [* 713,
        a
    *], [* 181,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 801,
    [ [* 713, -1 *], [* 181, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 - x^120 + x^80 - x^40 + 1
);
eps_on_gens:=
[* 802,
    [ [* 3,
        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:=
[* 802,
    [ [* 3,
        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:=
[* 802,
    [ [* 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:=
[* 803,
    [ [* 585,
        a
    *], [* 78,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 803,
    [ [* 585, -1 *], [* 78, 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:=
[* 803,
    [ [* 585,
        1
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        a^72
    *], [* 78,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 803,
    [ [* 585,
        a^18
    *], [* 78,
        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^6 + 1
);
eps_on_gens:=
[* 803,
    [ [* 585,
        -1
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        1
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        a^24
    *], [* 78,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 803,
    [ [* 585,
        a^9
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        -1
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        a^6
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        -1
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        a^9
    *], [* 78,
        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^3 + 1
);
eps_on_gens:=
[* 803,
    [ [* 585,
        -1
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        1
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        a^8
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        a^3
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        -1
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        a^2
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        -1
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        a^3
    *], [* 78,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 803,
    [ [* 585,
        -1
    *], [* 78,
        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:=
[* 803,
    [ [* 585,
        a
    *], [* 78,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 803,
    [ [* 585,
        -1
    *], [* 78,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 804,
    [ [* 337, 1 *], [* 269, 1 *], [* 403, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 804,
    [ [* 337, 1 *], [* 269, -1 *], [* 403, 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:=
[* 804,
    [ [* 337,
        a
    *], [* 269,
        1
    *], [* 403,
        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:=
[* 804,
    [ [* 337,
        a
    *], [* 269,
        -1
    *], [* 403,
        -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:=
[* 804,
    [ [* 337,
        a^2
    *], [* 269,
        1
    *], [* 403,
        -1
    *] ]
*]
;
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:=
[* 804,
    [ [* 337,
        a^2
    *], [* 269,
        -1
    *], [* 403,
        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:=
[* 804,
    [ [* 337,
        a
    *], [* 269,
        1
    *], [* 403,
        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:=
[* 804,
    [ [* 337,
        a
    *], [* 269,
        -1
    *], [* 403,
        -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:=
[* 804,
    [ [* 337,
        a^2
    *], [* 269,
        1
    *], [* 403,
        -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:=
[* 804,
    [ [* 337,
        a^2
    *], [* 269,
        -1
    *], [* 403,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 804,
    [ [* 337,
        a
    *], [* 269,
        1
    *], [* 403,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 804,
    [ [* 337,
        a
    *], [* 269,
        -1
    *], [* 403,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 804,
    [ [* 337,
        a - 1
    *], [* 269,
        1
    *], [* 403,
        -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:=
[* 804,
    [ [* 337,
        a - 1
    *], [* 269,
        -1
    *], [* 403,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 804,
    [ [* 337, -1 *], [* 269, 1 *], [* 403, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 804,
    [ [* 337, -1 *], [* 269, -1 *], [* 403, -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:=
[* 805,
    [ [* 346,
        1
    *], [* 281,
        1
    *], [* 162,
        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:=
[* 805,
    [ [* 346,
        a
    *], [* 281,
        1
    *], [* 162,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 805,
    [ [* 346,
        a
    *], [* 281,
        1
    *], [* 162,
        -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:=
[* 805,
    [ [* 346,
        a^2 - 1
    *], [* 281,
        1
    *], [* 162,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 805,
    [ [* 346, -1 *], [* 281, 1 *], [* 162, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 805,
    [ [* 346, -1 *], [* 281, 1 *], [* 162, -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:=
[* 805,
    [ [* 346,
        1
    *], [* 281,
        a
    *], [* 162,
        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:=
[* 805,
    [ [* 346,
        1
    *], [* 281,
        a
    *], [* 162,
        -1
    *] ]
*]
;
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:=
[* 805,
    [ [* 346,
        a^22
    *], [* 281,
        a^6
    *], [* 162,
        a^33
    *] ]
*]
;
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:=
[* 805,
    [ [* 346,
        a^11 - 1
    *], [* 281,
        a^3
    *], [* 162,
        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:=
[* 805,
    [ [* 346,
        a^11 - 1
    *], [* 281,
        a^3
    *], [* 162,
        -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:=
[* 805,
    [ [* 346,
        -1
    *], [* 281,
        a^2
    *], [* 162,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 805,
    [ [* 346,
        1
    *], [* 281,
        a^4
    *], [* 162,
        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:=
[* 805,
    [ [* 346,
        a^11
    *], [* 281,
        a^6
    *], [* 162,
        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:=
[* 805,
    [ [* 346,
        a^11
    *], [* 281,
        a^6
    *], [* 162,
        -1
    *] ]
*]
;
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:=
[* 805,
    [ [* 346,
        a^22 - 1
    *], [* 281,
        a^12
    *], [* 162,
        a^33
    *] ]
*]
;
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:=
[* 805,
    [ [* 346,
        -1
    *], [* 281,
        a^2
    *], [* 162,
        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:=
[* 805,
    [ [* 346,
        -1
    *], [* 281,
        a^2
    *], [* 162,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 805,
    [ [* 346, 1 *], [* 281, -1 *], [* 162, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 805,
    [ [* 346, 1 *], [* 281, -1 *], [* 162, -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:=
[* 805,
    [ [* 346,
        a^2
    *], [* 281,
        -1
    *], [* 162,
        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:=
[* 805,
    [ [* 346,
        a - 1
    *], [* 281,
        -1
    *], [* 162,
        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:=
[* 805,
    [ [* 346,
        a - 1
    *], [* 281,
        -1
    *], [* 162,
        -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:=
[* 805,
    [ [* 346,
        -1
    *], [* 281,
        -1
    *], [* 162,
        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:=
[* 806,
    [ [* 313,
        1
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        1
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        -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:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        -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:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        -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:=
[* 806,
    [ [* 313,
        a^4
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a^4
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a^4
    *], [* 249,
        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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a^3
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a^3
    *], [* 249,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        -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:=
[* 806,
    [ [* 313,
        a
    *], [* 249,
        -a + 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:=
[* 806,
    [ [* 313,
        a^12
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a^4
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a^2 - 1
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a^2 - 1
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        a^2 - 1
    *], [* 249,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 806,
    [ [* 313, -1 *], [* 249, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 806,
    [ [* 313,
        -1
    *], [* 249,
        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:=
[* 806,
    [ [* 313,
        -1
    *], [* 249,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 806,
    [ [* 313, -1 *], [* 249, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 807,
    [ [* 271, 1 *], [* 539, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 807,
    [ [* 271,
        a
    *], [* 539,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 807,
    [ [* 271,
        a
    *], [* 539,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 807,
    [ [* 271,
        a^2
    *], [* 539,
        -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:=
[* 807,
    [ [* 271,
        a
    *], [* 539,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 807,
    [ [* 271,
        -1
    *], [* 539,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 808,
    [ [* 305, 1 *], [* 405, 1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 808,
    [ [* 305, 1 *], [* 405, -1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a
    *], [* 405,
        1
    *], [* 607,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a
    *], [* 405,
        -1
    *], [* 607,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a
    *], [* 405,
        1
    *], [* 607,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a
    *], [* 405,
        -1
    *], [* 607,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a^2
    *], [* 405,
        1
    *], [* 607,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a^2
    *], [* 405,
        -1
    *], [* 607,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a
    *], [* 405,
        1
    *], [* 607,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a
    *], [* 405,
        -1
    *], [* 607,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a
    *], [* 405,
        1
    *], [* 607,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a
    *], [* 405,
        -1
    *], [* 607,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a^2
    *], [* 405,
        1
    *], [* 607,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a^2
    *], [* 405,
        -1
    *], [* 607,
        -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:=
[* 808,
    [ [* 305,
        a
    *], [* 405,
        1
    *], [* 607,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 808,
    [ [* 305,
        a
    *], [* 405,
        -1
    *], [* 607,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 808,
    [ [* 305, -1 *], [* 405, 1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 808,
    [ [* 305, -1 *], [* 405, -1 *], [* 607, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^400 - x^396 + x^392 - x^388 + x^384 - x^380 + x^376 - x^372 + x^368 - x^364 + 
    x^360 - x^356 + x^352 - x^348 + x^344 - x^340 + x^336 - x^332 + x^328 - 
    x^324 + x^320 - x^316 + x^312 - x^308 + x^304 - x^300 + x^296 - x^292 + 
    x^288 - x^284 + x^280 - x^276 + x^272 - x^268 + x^264 - x^260 + x^256 - 
    x^252 + x^248 - x^244 + x^240 - x^236 + x^232 - x^228 + x^224 - x^220 + 
    x^216 - x^212 + x^208 - x^204 + x^200 - x^196 + x^192 - x^188 + x^184 - 
    x^180 + x^176 - x^172 + x^168 - x^164 + x^160 - x^156 + x^152 - x^148 + 
    x^144 - x^140 + x^136 - x^132 + x^128 - x^124 + x^120 - x^116 + 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:=
[* 809,
    [ [* 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:=
[* 809,
    [ [* 3,
        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:=
[* 810,
    [ [* 731,
        a
    *], [* 487,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 810,
    [ [* 731,
        a
    *], [* 487,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 810,
    [ [* 731,
        a
    *], [* 487,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 810,
    [ [* 731, -1 *], [* 487, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 810,
    [ [* 731,
        1
    *], [* 487,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 - x^18 + 1
);
eps_on_gens:=
[* 810,
    [ [* 731,
        a^4
    *], [* 487,
        a^27
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 810,
    [ [* 731,
        a^4
    *], [* 487,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 810,
    [ [* 731,
        a^2 - 1
    *], [* 487,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 810,
    [ [* 731,
        a
    *], [* 487,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 810,
    [ [* 731,
        a
    *], [* 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:=
[* 810,
    [ [* 731,
        a
    *], [* 487,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 810,
    [ [* 731, -1 *], [* 487, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^216 + x^189 - x^135 - x^108 - x^81 + x^27 + 1
);
eps_on_gens:=
[* 811,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^63 - x^45 - x^36 - x^27 + x^9 + 1
);
eps_on_gens:=
[* 811,
    [ [* 3,
        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:=
[* 811,
    [ [* 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:=
[* 811,
    [ [* 3,
        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:=
[* 811,
    [ [* 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:=
[* 811,
    [ [* 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:=
[* 811,
    [ [* 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:=
[* 811,
    [ [* 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:=
[* 811,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 811,
    [ [* 3,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 812,
    [ [* 465, 1 *], [* 785, 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:=
[* 812,
    [ [* 465,
        a
    *], [* 785,
        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:=
[* 812,
    [ [* 465,
        a - 1
    *], [* 785,
        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:=
[* 812,
    [ [* 465, -1 *], [* 785, 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:=
[* 812,
    [ [* 465,
        1
    *], [* 785,
        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:=
[* 812,
    [ [* 465,
        a^14
    *], [* 785,
        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:=
[* 812,
    [ [* 465,
        a^14 - 1
    *], [* 785,
        a^3
    *], [* 407,
        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:=
[* 812,
    [ [* 465,
        -1
    *], [* 785,
        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:=
[* 812,
    [ [* 465,
        1
    *], [* 785,
        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:=
[* 812,
    [ [* 465,
        a^7
    *], [* 785,
        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:=
[* 812,
    [ [* 465,
        a^7 - 1
    *], [* 785,
        a^3
    *], [* 407,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 812,
    [ [* 465,
        -1
    *], [* 785,
        a
    *], [* 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:=
[* 812,
    [ [* 465,
        1
    *], [* 785,
        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:=
[* 812,
    [ [* 465,
        a^7
    *], [* 785,
        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:=
[* 812,
    [ [* 465,
        a^7 - 1
    *], [* 785,
        a^6
    *], [* 407,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 812,
    [ [* 465,
        -1
    *], [* 785,
        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:=
[* 812,
    [ [* 465,
        1
    *], [* 785,
        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:=
[* 812,
    [ [* 465,
        a^2
    *], [* 785,
        a^3
    *], [* 407,
        -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:=
[* 812,
    [ [* 465,
        a^2 - 1
    *], [* 785,
        a^3
    *], [* 407,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 812,
    [ [* 465,
        -1
    *], [* 785,
        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:=
[* 812,
    [ [* 465, 1 *], [* 785, -1 *], [* 407, -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:=
[* 812,
    [ [* 465,
        a
    *], [* 785,
        -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:=
[* 812,
    [ [* 465,
        a - 1
    *], [* 785,
        -1
    *], [* 407,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 812,
    [ [* 465,
        -1
    *], [* 785,
        -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:=
[* 813,
    [ [* 277, 1 *], [* 272, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^63 - x^45 - x^36 - x^27 + x^9 + 1
);
eps_on_gens:=
[* 813,
    [ [* 277,
        a
    *], [* 272,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^63 - x^45 - x^36 - x^27 + x^9 + 1
);
eps_on_gens:=
[* 813,
    [ [* 277,
        a^2
    *], [* 272,
        -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:=
[* 813,
    [ [* 277,
        a
    *], [* 272,
        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:=
[* 813,
    [ [* 277,
        a
    *], [* 272,
        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:=
[* 813,
    [ [* 277,
        a^2
    *], [* 272,
        -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:=
[* 813,
    [ [* 277,
        a
    *], [* 272,
        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:=
[* 813,
    [ [* 277,
        a^2
    *], [* 272,
        -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:=
[* 813,
    [ [* 277,
        a
    *], [* 272,
        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:=
[* 813,
    [ [* 277,
        a^2
    *], [* 272,
        -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:=
[* 813,
    [ [* 277,
        a
    *], [* 272,
        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:=
[* 813,
    [ [* 277,
        a^2
    *], [* 272,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 813,
    [ [* 277,
        a
    *], [* 272,
        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:=
[* 813,
    [ [* 277,
        a^2
    *], [* 272,
        -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:=
[* 813,
    [ [* 277,
        a - 1
    *], [* 272,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 813,
    [ [* 277, -1 *], [* 272, 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:=
[* 814,
    [ [* 519,
        a
    *], [* 705,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 814,
    [ [* 519, -1 *], [* 705, 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:=
[* 814,
    [ [* 519,
        1
    *], [* 705,
        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:=
[* 814,
    [ [* 519,
        a^36
    *], [* 705,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 814,
    [ [* 519,
        a^9
    *], [* 705,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 814,
    [ [* 519,
        -1
    *], [* 705,
        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:=
[* 814,
    [ [* 519,
        1
    *], [* 705,
        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:=
[* 814,
    [ [* 519,
        a^12
    *], [* 705,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 814,
    [ [* 519,
        a^9
    *], [* 705,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 814,
    [ [* 519,
        -1
    *], [* 705,
        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:=
[* 814,
    [ [* 519,
        a^3
    *], [* 705,
        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:=
[* 814,
    [ [* 519,
        -1
    *], [* 705,
        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:=
[* 814,
    [ [* 519,
        1
    *], [* 705,
        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:=
[* 814,
    [ [* 519,
        a^4
    *], [* 705,
        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:=
[* 814,
    [ [* 519,
        a^3
    *], [* 705,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 814,
    [ [* 519,
        -1
    *], [* 705,
        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:=
[* 814,
    [ [* 519,
        a
    *], [* 705,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 814,
    [ [* 519, -1 *], [* 705, -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:=
[* 815,
    [ [* 327,
        a
    *], [* 491,
        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:=
[* 815,
    [ [* 327,
        1
    *], [* 491,
        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:=
[* 815,
    [ [* 327,
        -1
    *], [* 491,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^108 - x^54 + 1
);
eps_on_gens:=
[* 815,
    [ [* 327,
        a^81
    *], [* 491,
        a^4
    *] ]
*]
;
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:=
[* 815,
    [ [* 327,
        1
    *], [* 491,
        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:=
[* 815,
    [ [* 327,
        -1
    *], [* 491,
        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:=
[* 815,
    [ [* 327,
        a^27
    *], [* 491,
        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:=
[* 815,
    [ [* 327,
        1
    *], [* 491,
        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:=
[* 815,
    [ [* 327,
        -1
    *], [* 491,
        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:=
[* 815,
    [ [* 327,
        a^9
    *], [* 491,
        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:=
[* 815,
    [ [* 327,
        1
    *], [* 491,
        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:=
[* 815,
    [ [* 327,
        -1
    *], [* 491,
        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:=
[* 815,
    [ [* 327,
        a^3
    *], [* 491,
        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:=
[* 815,
    [ [* 327, 1 *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
14
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 815,
    [ [* 327,
        -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:=
[* 816,
    [ [* 241, 1 *], [* 511, -1 *], [* 613, 1 *], [* 545, 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:=
[* 816,
    [ [* 241,
        1
    *], [* 511,
        -1
    *], [* 613,
        a
    *], [* 545,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 816,
    [ [* 241, 1 *], [* 511, -1 *], [* 613, -1 *], [* 545, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 816,
    [ [* 241, 1 *], [* 511, 1 *], [* 613, 1 *], [* 545, -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:=
[* 816,
    [ [* 241,
        1
    *], [* 511,
        1
    *], [* 613,
        a
    *], [* 545,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 816,
    [ [* 241, 1 *], [* 511, 1 *], [* 613, -1 *], [* 545, -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        1
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        a^4
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        -1
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        -a^4
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        1
    *], [* 545,
        -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        a^4
    *], [* 545,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        -1
    *], [* 545,
        -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        -a^4
    *], [* 545,
        -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        1
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        a^2
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        -1
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        -a^2
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        1
    *], [* 545,
        -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        a^2
    *], [* 545,
        -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        -1
    *], [* 545,
        -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        -a^2
    *], [* 545,
        -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        1
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        a
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        -1
    *], [* 545,
        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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        -1
    *], [* 613,
        -a
    *], [* 545,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 816,
    [ [* 241,
        a^2
    *], [* 511,
        1
    *], [* 613,
        1
    *], [* 545,
        -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        a
    *], [* 545,
        -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        -1
    *], [* 545,
        -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:=
[* 816,
    [ [* 241,
        a
    *], [* 511,
        1
    *], [* 613,
        -a
    *], [* 545,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 816,
    [ [* 241, -1 *], [* 511, -1 *], [* 613, 1 *], [* 545, 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:=
[* 816,
    [ [* 241,
        -1
    *], [* 511,
        -1
    *], [* 613,
        a
    *], [* 545,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 816,
    [ [* 241, -1 *], [* 511, -1 *], [* 613, -1 *], [* 545, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 816,
    [ [* 241, -1 *], [* 511, 1 *], [* 613, 1 *], [* 545, -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:=
[* 816,
    [ [* 241,
        -1
    *], [* 511,
        1
    *], [* 613,
        a
    *], [* 545,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 816,
    [ [* 241, -1 *], [* 511, 1 *], [* 613, -1 *], [* 545, -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:=
[* 817,
    [ [* 476,
        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:=
[* 817,
    [ [* 476,
        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:=
[* 817,
    [ [* 476, 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:=
[* 817,
    [ [* 476,
        a
    *], [* 173,
        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:=
[* 817,
    [ [* 476,
        a^3
    *], [* 173,
        a^14
    *] ]
*]
;
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:=
[* 817,
    [ [* 476,
        a^3
    *], [* 173,
        a^28
    *] ]
*]
;
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:=
[* 817,
    [ [* 476,
        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:=
[* 817,
    [ [* 476,
        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^36 + x^33 - x^27 - x^24 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 817,
    [ [* 476,
        a^6
    *], [* 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:=
[* 817,
    [ [* 476,
        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^36 + x^33 - x^27 - x^24 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 817,
    [ [* 476,
        a^6
    *], [* 173,
        a^35
    *] ]
*]
;
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^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 817,
    [ [* 476,
        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:=
[* 817,
    [ [* 476,
        a^2
    *], [* 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^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 817,
    [ [* 476,
        a
    *], [* 173,
        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:=
[* 817,
    [ [* 476,
        a^9
    *], [* 173,
        a^14
    *] ]
*]
;
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:=
[* 817,
    [ [* 476,
        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^36 + x^33 - x^27 - x^24 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 817,
    [ [* 476,
        a^18
    *], [* 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:=
[* 817,
    [ [* 476,
        a^6
    *], [* 173,
        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:=
[* 817,
    [ [* 476,
        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:=
[* 817,
    [ [* 476,
        a
    *], [* 173,
        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:=
[* 817,
    [ [* 476,
        a^3
    *], [* 173,
        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:=
[* 817,
    [ [* 476,
        a^3
    *], [* 173,
        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:=
[* 817,
    [ [* 476,
        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:=
[* 817,
    [ [* 476,
        a
    *], [* 173,
        -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:=
[* 817,
    [ [* 476,
        a^3 - 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:=
[* 817,
    [ [* 476,
        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^6 - x^3 + 1
);
eps_on_gens:=
[* 817,
    [ [* 476,
        a^3 - 1
    *], [* 173,
        a^5
    *] ]
*]
;
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:=
[* 817,
    [ [* 476,
        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:=
[* 817,
    [ [* 476,
        a - 1
    *], [* 173,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 817,
    [ [* 476, -1 *], [* 173, 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:=
[* 817,
    [ [* 476,
        -1
    *], [* 173,
        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:=
[* 817,
    [ [* 476,
        -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^128 + x^124 - x^116 - x^112 + x^104 + x^100 - x^92 - x^88 + x^80 + x^76 - x^68
    - x^64 - x^60 + x^52 + x^48 - x^40 - x^36 + x^28 + x^24 - x^16 - x^12 + x^4 
    + 1
);
eps_on_gens:=
[* 818,
    [ [* 21,
        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:=
[* 818,
    [ [* 21,
        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:=
[* 818,
    [ [* 21,
        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:=
[* 818,
    [ [* 21,
        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:=
[* 819,
    [ [* 379,
        1
    *], [* 703,
        1
    *], [* 92,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 819,
    [ [* 379, 1 *], [* 703, 1 *], [* 92, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        1
    *], [* 703,
        a
    *], [* 92,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        1
    *], [* 703,
        a
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        1
    *], [* 703,
        a
    *], [* 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:=
[* 819,
    [ [* 379,
        1
    *], [* 703,
        a - 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:=
[* 819,
    [ [* 379,
        1
    *], [* 703,
        a - 1
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        1
    *], [* 703,
        a - 1
    *], [* 92,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 819,
    [ [* 379, 1 *], [* 703, -1 *], [* 92, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        1
    *], [* 703,
        -1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        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 - x^2 + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a^2
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a^2
    *], [* 92,
        -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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a^2
    *], [* 92,
        -a^2 + 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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a^2 - 1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a^2 - 1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a^2 - 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 - x^2 + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -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 - x^2 + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -1
    *], [* 92,
        -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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -1
    *], [* 92,
        -a^2 + 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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a^2
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a^2
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a^2
    *], [* 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 - x^2 + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a^2 + 1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a^2 + 1
    *], [* 92,
        -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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a^2 + 1
    *], [* 92,
        -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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        1
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        1
    *], [* 92,
        -a + 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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a
    *], [* 92,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a
    *], [* 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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a - 1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a - 1
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        a - 1
    *], [* 92,
        -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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -1
    *], [* 92,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a
    *], [* 92,
        -a + 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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a + 1
    *], [* 92,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a + 1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -a + 1
    *], [* 92,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a^3
    *], [* 703,
        1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a^3
    *], [* 703,
        a^2
    *], [* 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 - x^2 + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a^3
    *], [* 703,
        a^2
    *], [* 92,
        -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:=
[* 819,
    [ [* 379,
        a^3
    *], [* 703,
        a^2
    *], [* 92,
        -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:=
[* 819,
    [ [* 379,
        a^3
    *], [* 703,
        a^2 - 1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a^3
    *], [* 703,
        a^2 - 1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a^3
    *], [* 703,
        a^2 - 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 - x^2 + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a^3
    *], [* 703,
        -1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a
    *], [* 703,
        -1
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        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:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        1
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        1
    *], [* 92,
        -a + 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:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        a
    *], [* 92,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        a
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        a
    *], [* 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:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        a - 1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        -1/2*a^2
    *], [* 703,
        -1/2*a^2
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        a - 1
    *], [* 92,
        -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:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        -1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a^2 - 1
    *], [* 703,
        -1
    *], [* 92,
        a^2 - 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:=
[* 819,
    [ [* 379,
        a^2 - 1
    *], [* 703,
        -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^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        -a
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        -1/2*a^2
    *], [* 703,
        1/2*(a^2 - 2)
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        -a
    *], [* 92,
        -a + 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:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        -a + 1
    *], [* 92,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        -a + 1
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        a - 1
    *], [* 703,
        -a + 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:=
[* 819,
    [ [* 379,
        -1
    *], [* 703,
        1
    *], [* 92,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 819,
    [ [* 379, -1 *], [* 703, 1 *], [* 92, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        -1
    *], [* 703,
        a
    *], [* 92,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        -1
    *], [* 703,
        a
    *], [* 92,
        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:=
[* 819,
    [ [* 379,
        -1
    *], [* 703,
        a
    *], [* 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:=
[* 819,
    [ [* 379,
        -1
    *], [* 703,
        a - 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:=
[* 819,
    [ [* 379,
        -1
    *], [* 703,
        a - 1
    *], [* 92,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        -1
    *], [* 703,
        a - 1
    *], [* 92,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 819,
    [ [* 379, -1 *], [* 703, -1 *], [* 92, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 819,
    [ [* 379,
        -1
    *], [* 703,
        -1
    *], [* 92,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 820,
    [ [* 621, 1 *], [* 657, 1 *], [* 411, -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:=
[* 820,
    [ [* 621,
        1
    *], [* 657,
        a
    *], [* 411,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 820,
    [ [* 621, 1 *], [* 657, -1 *], [* 411, -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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        1
    *], [* 411,
        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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        a^10
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        -1
    *], [* 411,
        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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        -a^10
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        1
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        a^5
    *], [* 411,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        -1
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        -a^5
    *], [* 411,
        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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        1
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a^2
    *], [* 657,
        a^5
    *], [* 411,
        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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        -1
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        1
    *], [* 411,
        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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        a^2
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        -1
    *], [* 411,
        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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        -a^2
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a^2
    *], [* 657,
        1
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a^4
    *], [* 657,
        a^5
    *], [* 411,
        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:=
[* 820,
    [ [* 621,
        a^2
    *], [* 657,
        -1
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        1
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        a
    *], [* 411,
        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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        -1
    *], [* 411,
        -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:=
[* 820,
    [ [* 621,
        a
    *], [* 657,
        -a
    *], [* 411,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 820,
    [ [* 621, -1 *], [* 657, 1 *], [* 411, -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:=
[* 820,
    [ [* 621,
        -1
    *], [* 657,
        a
    *], [* 411,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 820,
    [ [* 621,
        -1
    *], [* 657,
        -1
    *], [* 411,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^320 + x^318 - x^310 - x^308 + x^300 + x^298 - x^290 - x^288 + x^280 + x^278 - 
    x^270 - x^268 + x^260 + x^258 - x^250 - x^248 + x^240 - x^236 - x^230 + 
    x^226 + x^220 - x^216 - x^210 + x^206 + x^200 - x^196 - x^190 + x^186 + 
    x^180 - x^176 - x^170 + x^166 + x^160 + x^154 - x^150 - x^144 + x^140 + 
    x^134 - x^130 - x^124 + x^120 + x^114 - x^110 - x^104 + x^100 + x^94 - x^90 
    - x^84 + x^80 - x^72 - x^70 + x^62 + x^60 - x^52 - x^50 + x^42 + x^40 - x^32
    - x^30 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 821,
    [ [* 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^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:=
[* 821,
    [ [* 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:=
[* 821,
    [ [* 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:=
[* 821,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 822,
    [ [* 277, 1 *], [* 275, -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:=
[* 822,
    [ [* 277,
        a
    *], [* 275,
        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:=
[* 822,
    [ [* 277,
        a
    *], [* 275,
        -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:=
[* 822,
    [ [* 277,
        a
    *], [* 275,
        -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:=
[* 822,
    [ [* 277,
        a^2
    *], [* 275,
        -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:=
[* 822,
    [ [* 277,
        a
    *], [* 275,
        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:=
[* 822,
    [ [* 277,
        a
    *], [* 275,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 822,
    [ [* 277, -1 *], [* 275, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^272 + x^271 - x^269 - x^268 + x^266 + x^265 - x^263 - x^262 + 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^135 + x^133 + x^132 - 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:=
[* 823,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 823,
    [ [* 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:=
[* 823,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 823,
    [ [* 3,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 824,
    [ [* 417, 1 *], [* 413, 1 *], [* 207, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 824,
    [ [* 417, 1 *], [* 413, -1 *], [* 207, -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:=
[* 824,
    [ [* 417,
        a
    *], [* 413,
        1
    *], [* 207,
        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:=
[* 824,
    [ [* 417,
        a
    *], [* 413,
        -1
    *], [* 207,
        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:=
[* 824,
    [ [* 417,
        a^2
    *], [* 413,
        1
    *], [* 207,
        -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:=
[* 824,
    [ [* 417,
        a^2
    *], [* 413,
        -1
    *], [* 207,
        -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:=
[* 824,
    [ [* 417,
        a
    *], [* 413,
        1
    *], [* 207,
        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:=
[* 824,
    [ [* 417,
        a
    *], [* 413,
        -1
    *], [* 207,
        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:=
[* 824,
    [ [* 417,
        a^2
    *], [* 413,
        1
    *], [* 207,
        -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:=
[* 824,
    [ [* 417,
        a^2
    *], [* 413,
        -1
    *], [* 207,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 824,
    [ [* 417,
        a
    *], [* 413,
        1
    *], [* 207,
        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:=
[* 824,
    [ [* 417,
        a
    *], [* 413,
        -1
    *], [* 207,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 824,
    [ [* 417,
        a - 1
    *], [* 413,
        1
    *], [* 207,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 824,
    [ [* 417,
        a - 1
    *], [* 413,
        -1
    *], [* 207,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 824,
    [ [* 417, -1 *], [* 413, 1 *], [* 207, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
13
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 824,
    [ [* 417,
        -1
    *], [* 413,
        -1
    *], [* 207,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 825,
    [ [* 727, 1 *], [* 376, 1 *], [* 551, -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:=
[* 825,
    [ [* 727,
        a
    *], [* 376,
        1
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a
    *], [* 376,
        1
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a^2
    *], [* 376,
        1
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a
    *], [* 376,
        1
    *], [* 551,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 825,
    [ [* 727, -1 *], [* 376, 1 *], [* 551, -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:=
[* 825,
    [ [* 727,
        1
    *], [* 376,
        a
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a
    *], [* 376,
        a
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a^3
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a^2
    *], [* 376,
        a
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a^5
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a^3
    *], [* 376,
        a
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a^7
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a^3 - a^2 + a - 1
    *], [* 376,
        a
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a^7 - a^5 + a^3 - a
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        -1
    *], [* 376,
        a
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        -a
    *], [* 376,
        a
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        -a^2
    *], [* 376,
        a
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        -a^3
    *], [* 376,
        a
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        -a^3 + a^2 - a + 1
    *], [* 376,
        a
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        1
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a
    *], [* 376,
        a^4
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a^3
    *], [* 376,
        a^4
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a^2
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a^5
    *], [* 376,
        a^4
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a^3
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a^7
    *], [* 376,
        a^4
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a^3 - a^2 + a - 1
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a^7 - a^5 + a^3 - a
    *], [* 376,
        a^4
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        -1
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        -a
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        -a^2
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        -a^3
    *], [* 376,
        a^2
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        -a^3 + a^2 - a + 1
    *], [* 376,
        a^2
    *], [* 551,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 825,
    [ [* 727, 1 *], [* 376, -1 *], [* 551, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 825,
    [ [* 727,
        a
    *], [* 376,
        -1
    *], [* 551,
        -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:=
[* 825,
    [ [* 727,
        a
    *], [* 376,
        -1
    *], [* 551,
        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:=
[* 825,
    [ [* 727,
        a^2
    *], [* 376,
        -1
    *], [* 551,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 825,
    [ [* 727,
        a
    *], [* 376,
        -1
    *], [* 551,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 825,
    [ [* 727, -1 *], [* 376, -1 *], [* 551, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 826,
    [ [* 533,
        1
    *], [* 591,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 826,
    [ [* 533, 1 *], [* 591, -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:=
[* 826,
    [ [* 533,
        a
    *], [* 591,
        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:=
[* 826,
    [ [* 533,
        a^3
    *], [* 591,
        a^29 - 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:=
[* 826,
    [ [* 533,
        a^6
    *], [* 591,
        a^29
    *] ]
*]
;
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:=
[* 826,
    [ [* 533,
        a^2
    *], [* 591,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 826,
    [ [* 533, -1 *], [* 591, 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:=
[* 826,
    [ [* 533,
        -1
    *], [* 591,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^348 + x^347 - x^341 - x^340 + x^334 + x^333 - x^327 - x^326 + x^320 + x^319 - 
    x^313 - x^312 + x^306 + x^305 - x^299 - x^298 + x^292 + x^291 - x^289 - 
    x^288 - x^285 - x^284 + x^282 + x^281 + x^278 + x^277 - x^275 - x^274 - 
    x^271 - x^270 + x^268 + x^267 + x^264 + x^263 - x^261 - x^260 - x^257 - 
    x^256 + x^254 + x^253 + x^250 + x^249 - x^247 - x^246 - x^243 - x^242 + 
    x^240 + x^239 + x^236 + x^235 - x^233 - x^232 + x^230 - x^228 + x^226 + 
    x^225 - x^223 + x^221 - x^219 - x^218 + x^216 - x^214 + x^212 + x^211 - 
    x^209 + x^207 - x^205 - x^204 + x^202 - x^200 + x^198 + x^197 - x^195 + 
    x^193 - x^191 - x^190 + x^188 - x^186 + x^184 + x^183 - x^181 + x^179 - 
    x^177 - x^176 + x^174 - x^172 - x^171 + x^169 - x^167 + x^165 + x^164 - 
    x^162 + x^160 - x^158 - x^157 + x^155 - x^153 + x^151 + x^150 - x^148 + 
    x^146 - x^144 - x^143 + x^141 - x^139 + x^137 + x^136 - x^134 + x^132 - 
    x^130 - x^129 + x^127 - x^125 + x^123 + x^122 - x^120 + x^118 - x^116 - 
    x^115 + x^113 + x^112 + x^109 + x^108 - x^106 - x^105 - x^102 - x^101 + x^99
    + x^98 + x^95 + x^94 - x^92 - x^91 - x^88 - x^87 + x^85 + x^84 + x^81 + x^80
    - x^78 - x^77 - x^74 - x^73 + x^71 + x^70 + x^67 + x^66 - x^64 - x^63 - x^60
    - x^59 + x^57 + x^56 - 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:=
[* 827,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 827,
    [ [* 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:=
[* 827,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 827,
    [ [* 2,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 828,
    [ [* 461, 1 *], [* 649, 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 - x + 1
);
eps_on_gens:=
[* 828,
    [ [* 461,
        a
    *], [* 649,
        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 - x + 1
);
eps_on_gens:=
[* 828,
    [ [* 461,
        a - 1
    *], [* 649,
        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:=
[* 828,
    [ [* 461, -1 *], [* 649, 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:=
[* 828,
    [ [* 461,
        1
    *], [* 649,
        a
    *], [* 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^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:=
[* 828,
    [ [* 461,
        a^11
    *], [* 649,
        a^3
    *], [* 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^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:=
[* 828,
    [ [* 461,
        a^11 - 1
    *], [* 649,
        a^3
    *], [* 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:=
[* 828,
    [ [* 461,
        -1
    *], [* 649,
        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:=
[* 828,
    [ [* 461,
        1
    *], [* 649,
        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^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:=
[* 828,
    [ [* 461,
        a^11
    *], [* 649,
        a^6
    *], [* 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^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:=
[* 828,
    [ [* 461,
        a^11 - 1
    *], [* 649,
        a^6
    *], [* 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:=
[* 828,
    [ [* 461,
        -1
    *], [* 649,
        a^2
    *], [* 415,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 828,
    [ [* 461, 1 *], [* 649, -1 *], [* 415, 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 + 9*x^2 + 9*x + 3
);
eps_on_gens:=
[* 828,
    [ [* 461,
        1/19*(-9*a^5 + 6*a^4 + 23*a^3 - 9*a^2 - 75*a - 31)
    *], [* 649,
        -1
    *], [* 415,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
9
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 828,
    [ [* 461,
        a - 1
    *], [* 649,
        -1
    *], [* 415,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 828,
    [ [* 461, -1 *], [* 649, -1 *], [* 415, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^264 + x^258 - x^246 - x^240 + x^228 + x^222 - x^210 - x^204 + x^192 + x^186 - 
    x^174 - x^168 + x^156 + x^150 - x^138 - x^132 - x^126 + x^114 + x^108 - 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:=
[* 829,
    [ [* 2,
        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:=
[* 829,
    [ [* 2,
        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:=
[* 829,
    [ [* 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:=
[* 829,
    [ [* 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:=
[* 829,
    [ [* 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:=
[* 829,
    [ [* 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:=
[* 830,
    [ [* 167,
        a
    *], [* 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^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:=
[* 830,
    [ [* 167,
        1
    *], [* 251,
        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:=
[* 830,
    [ [* 167,
        -1
    *], [* 251,
        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^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:=
[* 830,
    [ [* 167,
        a^41
    *], [* 251,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 830,
    [ [* 167, 1 *], [* 251, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 830,
    [ [* 167, -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:=
[* 831,
    [ [* 559, 1 *], [* 278, -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:=
[* 831,
    [ [* 559,
        a
    *], [* 278,
        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:=
[* 831,
    [ [* 559,
        a
    *], [* 278,
        -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:=
[* 831,
    [ [* 559,
        a
    *], [* 278,
        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:=
[* 831,
    [ [* 559,
        a^2
    *], [* 278,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - 
    x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 831,
    [ [* 559,
        a
    *], [* 278,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - 
    x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 831,
    [ [* 559,
        a^2
    *], [* 278,
        -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:=
[* 831,
    [ [* 559,
        a
    *], [* 278,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 831,
    [ [* 559,
        a
    *], [* 278,
        -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:=
[* 831,
    [ [* 559,
        a
    *], [* 278,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 831,
    [ [* 559,
        a - 1
    *], [* 278,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
13
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 831,
    [ [* 559,
        -1
    *], [* 278,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 832,
    [ [* 769, 1 *], [* 261, 1 *], [* 703, -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:=
[* 832,
    [ [* 769,
        1
    *], [* 261,
        a
    *], [* 703,
        -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:=
[* 832,
    [ [* 769,
        1
    *], [* 261,
        a
    *], [* 703,
        -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:=
[* 832,
    [ [* 769,
        1
    *], [* 261,
        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:=
[* 832,
    [ [* 769, 1 *], [* 261, -1 *], [* 703, -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:=
[* 832,
    [ [* 769,
        a
    *], [* 261,
        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^8 + 1
);
eps_on_gens:=
[* 832,
    [ [* 769,
        a^4
    *], [* 261,
        a^3
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a^2
    *], [* 261,
        a^3
    *], [* 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^8 + 1
);
eps_on_gens:=
[* 832,
    [ [* 769,
        a^4
    *], [* 261,
        a^9
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a
    *], [* 261,
        a^3
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a^2
    *], [* 261,
        a^5 - a
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a
    *], [* 261,
        -1
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a
    *], [* 261,
        -a^3
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a
    *], [* 261,
        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^8 + 1
);
eps_on_gens:=
[* 832,
    [ [* 769,
        a^8
    *], [* 261,
        a^3
    *], [* 703,
        -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:=
[* 832,
    [ [* 769,
        a^4
    *], [* 261,
        a^3
    *], [* 703,
        -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:=
[* 832,
    [ [* 769,
        a^2
    *], [* 261,
        a^3
    *], [* 703,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 832,
    [ [* 769,
        a
    *], [* 261,
        -1
    *], [* 703,
        -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:=
[* 832,
    [ [* 769,
        a
    *], [* 261,
        1
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a^4
    *], [* 261,
        a
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a^2
    *], [* 261,
        a
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a^4
    *], [* 261,
        a^3
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a
    *], [* 261,
        a
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a^2
    *], [* 261,
        a^3
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a
    *], [* 261,
        -1
    *], [* 703,
        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:=
[* 832,
    [ [* 769,
        a
    *], [* 261,
        -a
    *], [* 703,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
9
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 832,
    [ [* 769,
        -a^2
    *], [* 261,
        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^8 + 1
);
eps_on_gens:=
[* 832,
    [ [* 769,
        a^8 - 1
    *], [* 261,
        a^3
    *], [* 703,
        -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:=
[* 832,
    [ [* 769,
        a^4 - 1
    *], [* 261,
        a^3
    *], [* 703,
        -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:=
[* 832,
    [ [* 769,
        a^2 - 1
    *], [* 261,
        a^3
    *], [* 703,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 832,
    [ [* 769,
        a - 1
    *], [* 261,
        -1
    *], [* 703,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 832,
    [ [* 769, -1 *], [* 261, 1 *], [* 703, -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:=
[* 832,
    [ [* 769,
        -1
    *], [* 261,
        a
    *], [* 703,
        -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:=
[* 832,
    [ [* 769,
        -1
    *], [* 261,
        a
    *], [* 703,
        -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:=
[* 832,
    [ [* 769,
        -1
    *], [* 261,
        a
    *], [* 703,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 832,
    [ [* 769, -1 *], [* 261, -1 *], [* 703, -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:=
[* 833,
    [ [* 52,
        a
    *], [* 785,
        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:=
[* 833,
    [ [* 52,
        a
    *], [* 785,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 833,
    [ [* 52,
        a
    *], [* 785,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 833,
    [ [* 52, -1 *], [* 785, 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:=
[* 833,
    [ [* 52,
        1
    *], [* 785,
        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:=
[* 833,
    [ [* 52,
        a^16
    *], [* 785,
        a^21
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 833,
    [ [* 52,
        a^16
    *], [* 785,
        a^7
    *] ]
*]
;
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:=
[* 833,
    [ [* 52,
        a^8 - 1
    *], [* 785,
        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:=
[* 833,
    [ [* 52,
        a^4
    *], [* 785,
        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^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 833,
    [ [* 52,
        a^4
    *], [* 785,
        a^7
    *] ]
*]
;
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:=
[* 833,
    [ [* 52,
        a^4
    *], [* 785,
        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:=
[* 833,
    [ [* 52,
        -1
    *], [* 785,
        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:=
[* 833,
    [ [* 52,
        a^2
    *], [* 785,
        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:=
[* 833,
    [ [* 52,
        a^2
    *], [* 785,
        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:=
[* 833,
    [ [* 52,
        a^2
    *], [* 785,
        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:=
[* 833,
    [ [* 52,
        -1
    *], [* 785,
        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:=
[* 833,
    [ [* 52,
        a
    *], [* 785,
        -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:=
[* 833,
    [ [* 52,
        a
    *], [* 785,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + x^3 + 2*x^2 - x + 1
);
eps_on_gens:=
[* 833,
    [ [* 52,
        1/2*(a^3 + 2*a^2 + 2*a + 1)
    *], [* 785,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 833,
    [ [* 52, -1 *], [* 785, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 834,
    [ [* 697, 1 *], [* 557, -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:=
[* 834,
    [ [* 697,
        a
    *], [* 557,
        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:=
[* 834,
    [ [* 697,
        a^2
    *], [* 557,
        -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:=
[* 834,
    [ [* 697,
        a
    *], [* 557,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - 
    x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 834,
    [ [* 697,
        a^2
    *], [* 557,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 834,
    [ [* 697,
        a
    *], [* 557,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 834,
    [ [* 697,
        a - 1
    *], [* 557,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 834,
    [ [* 697, -1 *], [* 557, 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:=
[* 835,
    [ [* 506,
        1
    *], [* 502,
        a
    *] ]
*]
;
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:=
[* 835,
    [ [* 506,
        a
    *], [* 502,
        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:=
[* 835,
    [ [* 506,
        a
    *], [* 502,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 835,
    [ [* 506,
        a^4
    *], [* 502,
        a^83
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 835,
    [ [* 506, -1 *], [* 502, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 835,
    [ [* 506, -1 *], [* 502, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 836,
    [ [* 761, 1 *], [* 705, 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:=
[* 836,
    [ [* 761,
        a
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        a^2
    *], [* 705,
        1
    *], [* 419,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 836,
    [ [* 761, -1 *], [* 705, 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:=
[* 836,
    [ [* 761,
        1
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        a^9
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        a^18
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        -1
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        1
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        a^9
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        a^18
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        -1
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        1
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        a^3
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        a^6
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        -1
    *], [* 705,
        a
    *], [* 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:=
[* 836,
    [ [* 761,
        1
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        a^3
    *], [* 705,
        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:=
[* 836,
    [ [* 761,
        a^6
    *], [* 705,
        a^5 - 1
    *], [* 419,
        -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:=
[* 836,
    [ [* 761,
        -1
    *], [* 705,
        a - 1
    *], [* 419,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 836,
    [ [* 761, 1 *], [* 705, -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:=
[* 836,
    [ [* 761,
        a
    *], [* 705,
        -1
    *], [* 419,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
3
;
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:=
[* 836,
    [ [* 761,
        1/155*(-52*a^7 - 160*a^6 - 414*a^5 - 580*a^4 - 765*a^3 - 607*a^2 - 935*a
            + 211)
    *], [* 705,
        -1
    *], [* 419,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 836,
    [ [* 761,
        -1
    *], [* 705,
        -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:=
[* 837,
    [ [* 218,
        a
    *], [* 406,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 837,
    [ [* 218,
        a
    *], [* 406,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 837,
    [ [* 218, -1 *], [* 406, 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:=
[* 837,
    [ [* 218,
        1
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^10
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^20
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^5 - 1
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        -a^5
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^5
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^5
    *], [* 406,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 837,
    [ [* 218,
        -a^22 + a^16 + a^13 + a^10 - a^4 - a
    *], [* 406,
        a^6
    *] ]
*]
;
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:=
[* 837,
    [ [* 218,
        -1
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        -a^5 + 1
    *], [* 406,
        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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 837,
    [ [* 218,
        1
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^10
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^5 - 1
    *], [* 406,
        a^3
    *] ]
*]
;
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:=
[* 837,
    [ [* 218,
        1
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^2
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^4
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a - 1
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        -a
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^5
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^5
    *], [* 406,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
3
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 837,
    [ [* 218,
        -1
    *], [* 406,
        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^6 - x^3 + 1
);
eps_on_gens:=
[* 837,
    [ [* 218,
        a
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        a^5
    *], [* 406,
        a^3 - 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:=
[* 837,
    [ [* 218,
        -1
    *], [* 406,
        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:=
[* 837,
    [ [* 218,
        -a + 1
    *], [* 406,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 837,
    [ [* 218,
        1
    *], [* 406,
        -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:=
[* 837,
    [ [* 218,
        a^2
    *], [* 406,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 837,
    [ [* 218,
        a - 1
    *], [* 406,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^180 + x^179 - x^169 - x^168 - x^161 - x^160 + x^158 + x^157 + x^150 + x^149 - 
    x^147 - x^146 + x^142 + x^141 - x^139 - x^138 + x^136 + x^135 - x^131 - 
    x^130 + x^128 + x^127 - x^125 - x^124 - x^123 - x^122 + x^120 + x^119 - 
    x^117 - x^116 + x^114 + x^113 + x^112 + x^111 - x^109 - x^108 + x^106 + 
    x^105 + x^104 - x^102 - x^101 - x^100 + x^98 + x^97 - x^95 - x^94 - x^93 + 
    x^91 + x^90 + x^89 - x^87 - x^86 - x^85 + x^83 + x^82 - x^80 - x^79 - x^78 +
    x^76 + x^75 + x^74 - x^72 - x^71 + x^69 + x^68 + x^67 + x^66 - x^64 - x^63 +
    x^61 + x^60 - x^58 - x^57 - x^56 - x^55 + x^53 + x^52 - x^50 - x^49 + x^45 +
    x^44 - x^42 - x^41 + x^39 + x^38 - x^34 - x^33 + x^31 + x^30 + x^23 + x^22 -
    x^20 - x^19 - x^12 - x^11 + x + 1
);
eps_on_gens:=
[* 838,
    [ [* 421,
        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:=
[* 838,
    [ [* 421,
        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:=
[* 838,
    [ [* 421,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 838,
    [ [* 421, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^418 - x^417 + x^416 - x^415 + x^414 - x^413 + x^412 - x^411 + x^410 - x^409 + 
    x^408 - x^407 + x^406 - x^405 + x^404 - x^403 + x^402 - x^401 + x^400 - 
    x^399 + x^398 - x^397 + x^396 - x^395 + x^394 - x^393 + x^392 - x^391 + 
    x^390 - x^389 + x^388 - x^387 + x^386 - x^385 + x^384 - x^383 + x^382 - 
    x^381 + x^380 - x^379 + x^378 - x^377 + x^376 - x^375 + x^374 - x^373 + 
    x^372 - x^371 + x^370 - x^369 + x^368 - x^367 + x^366 - x^365 + x^364 - 
    x^363 + x^362 - x^361 + x^360 - x^359 + x^358 - x^357 + x^356 - x^355 + 
    x^354 - x^353 + x^352 - x^351 + x^350 - x^349 + x^348 - x^347 + x^346 - 
    x^345 + x^344 - x^343 + x^342 - x^341 + x^340 - x^339 + x^338 - x^337 + 
    x^336 - x^335 + x^334 - x^333 + x^332 - x^331 + x^330 - x^329 + x^328 - 
    x^327 + x^326 - x^325 + x^324 - x^323 + x^322 - x^321 + x^320 - x^319 + 
    x^318 - x^317 + x^316 - x^315 + x^314 - x^313 + x^312 - x^311 + x^310 - 
    x^309 + x^308 - x^307 + x^306 - x^305 + x^304 - x^303 + x^302 - x^301 + 
    x^300 - x^299 + x^298 - x^297 + x^296 - x^295 + x^294 - x^293 + x^292 - 
    x^291 + x^290 - x^289 + x^288 - x^287 + x^286 - x^285 + x^284 - x^283 + 
    x^282 - x^281 + x^280 - x^279 + x^278 - x^277 + x^276 - x^275 + x^274 - 
    x^273 + x^272 - x^271 + x^270 - x^269 + x^268 - x^267 + x^266 - x^265 + 
    x^264 - x^263 + x^262 - x^261 + x^260 - x^259 + x^258 - x^257 + x^256 - 
    x^255 + x^254 - x^253 + x^252 - x^251 + x^250 - x^249 + x^248 - x^247 + 
    x^246 - x^245 + x^244 - x^243 + x^242 - x^241 + x^240 - x^239 + x^238 - 
    x^237 + x^236 - x^235 + x^234 - x^233 + x^232 - x^231 + x^230 - x^229 + 
    x^228 - x^227 + x^226 - x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - 
    x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - x^213 + x^212 - x^211 + 
    x^210 - x^209 + x^208 - x^207 + x^206 - x^205 + x^204 - x^203 + x^202 - 
    x^201 + x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + x^194 - x^193 + 
    x^192 - x^191 + x^190 - x^189 + x^188 - x^187 + x^186 - x^185 + x^184 - 
    x^183 + x^182 - x^181 + x^180 - x^179 + x^178 - x^177 + x^176 - x^175 + 
    x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - 
    x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + 
    x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - 
    x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + x^140 - x^139 + 
    x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - 
    x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - x^121 + 
    x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - 
    x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + 
    x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + 
    x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 -
    x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 +
    x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 -
    x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 +
    x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 -
    x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 +
    x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 -
    x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 
    - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 839,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
16
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 839,
    [ [* 11,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, 1 *], [* 241, 1 *], [* 631, -1 *], [* 421, 1 *], [* 281, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, 1 *], [* 241, 1 *], [* 631, -1 *], [* 421, -1 *], [* 281, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, 1 *], [* 241, 1 *], [* 631, 1 *], [* 421, 1 *], [* 281, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, 1 *], [* 241, 1 *], [* 631, 1 *], [* 421, -1 *], [* 281, -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:=
[* 840,
    [ [* 337,
        a
    *], [* 241,
        1
    *], [* 631,
        1
    *], [* 421,
        1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        a
    *], [* 241,
        1
    *], [* 631,
        1
    *], [* 421,
        -1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        a
    *], [* 241,
        1
    *], [* 631,
        -1
    *], [* 421,
        1
    *], [* 281,
        -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:=
[* 840,
    [ [* 337,
        a
    *], [* 241,
        1
    *], [* 631,
        -1
    *], [* 421,
        -1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, -1 *], [* 241, 1 *], [* 631, -1 *], [* 421, 1 *], [* 281, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, -1 *], [* 241, 1 *], [* 631, -1 *], [* 421, -1 *], [* 281, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, -1 *], [* 241, 1 *], [* 631, 1 *], [* 421, 1 *], [* 281, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, -1 *], [* 241, 1 *], [* 631, 1 *], [* 421, -1 *], [* 281, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        1
    *], [* 241,
        a
    *], [* 631,
        1
    *], [* 421,
        1
    *], [* 281,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        1
    *], [* 241,
        a
    *], [* 631,
        1
    *], [* 421,
        -1
    *], [* 281,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        1
    *], [* 241,
        a
    *], [* 631,
        -1
    *], [* 421,
        1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        1
    *], [* 241,
        a
    *], [* 631,
        -1
    *], [* 421,
        -1
    *], [* 281,
        -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:=
[* 840,
    [ [* 337,
        a^3
    *], [* 241,
        a^2
    *], [* 631,
        -1
    *], [* 421,
        1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        a^3
    *], [* 241,
        a^2
    *], [* 631,
        -1
    *], [* 421,
        -1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        a^3
    *], [* 241,
        a^2
    *], [* 631,
        1
    *], [* 421,
        1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 6*x^6 - 12*x^5 + 17*x^4 - 24*x^3 + 48*x^2 - 60*x + 25
);
eps_on_gens:=
[* 840,
    [ [* 337,
        1/133*(-162*a^7 - 144*a^6 - 1100*a^5 + 981*a^4 - 1882*a^3 + 2289*a^2 - 
            5830*a + 4656)
    *], [* 241,
        1/15*(-16*a^7 - 14*a^6 - 108*a^5 + 97*a^4 - 184*a^3 + 220*a^2 - 564*a + 
            460)
    *], [* 631,
        1
    *], [* 421,
        -1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        -1
    *], [* 241,
        a
    *], [* 631,
        1
    *], [* 421,
        1
    *], [* 281,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        -1
    *], [* 241,
        a
    *], [* 631,
        1
    *], [* 421,
        -1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        -1
    *], [* 241,
        a
    *], [* 631,
        -1
    *], [* 421,
        1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        -1
    *], [* 241,
        a
    *], [* 631,
        -1
    *], [* 421,
        -1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        1
    *], [* 241,
        a - 1
    *], [* 631,
        -1
    *], [* 421,
        1
    *], [* 281,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        1
    *], [* 241,
        a - 1
    *], [* 631,
        -1
    *], [* 421,
        -1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        1
    *], [* 241,
        a - 1
    *], [* 631,
        1
    *], [* 421,
        1
    *], [* 281,
        -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:=
[* 840,
    [ [* 337,
        1
    *], [* 241,
        a - 1
    *], [* 631,
        1
    *], [* 421,
        -1
    *], [* 281,
        -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:=
[* 840,
    [ [* 337,
        a^3
    *], [* 241,
        a^2 - 1
    *], [* 631,
        1
    *], [* 421,
        1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        a^3
    *], [* 241,
        a^2 - 1
    *], [* 631,
        1
    *], [* 421,
        -1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        a^3
    *], [* 241,
        a^2 - 1
    *], [* 631,
        -1
    *], [* 421,
        1
    *], [* 281,
        -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:=
[* 840,
    [ [* 337,
        a^3
    *], [* 241,
        a^2 - 1
    *], [* 631,
        -1
    *], [* 421,
        -1
    *], [* 281,
        -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:=
[* 840,
    [ [* 337,
        -1
    *], [* 241,
        a - 1
    *], [* 631,
        -1
    *], [* 421,
        1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        -1
    *], [* 241,
        a - 1
    *], [* 631,
        -1
    *], [* 421,
        -1
    *], [* 281,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        -1
    *], [* 241,
        a - 1
    *], [* 631,
        1
    *], [* 421,
        1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 - 3*x^2 + 4*x + 13
);
eps_on_gens:=
[* 840,
    [ [* 337,
        -1
    *], [* 241,
        1/15*(2*a^3 - 3*a^2 - 7)
    *], [* 631,
        1
    *], [* 421,
        -1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, 1 *], [* 241, -1 *], [* 631, 1 *], [* 421, 1 *], [* 281, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, 1 *], [* 241, -1 *], [* 631, 1 *], [* 421, -1 *], [* 281, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, 1 *], [* 241, -1 *], [* 631, -1 *], [* 421, 1 *], [* 281, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, 1 *], [* 241, -1 *], [* 631, -1 *], [* 421, -1 *], [* 281, -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:=
[* 840,
    [ [* 337,
        a
    *], [* 241,
        -1
    *], [* 631,
        -1
    *], [* 421,
        1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        a
    *], [* 241,
        -1
    *], [* 631,
        -1
    *], [* 421,
        -1
    *], [* 281,
        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:=
[* 840,
    [ [* 337,
        a
    *], [* 241,
        -1
    *], [* 631,
        1
    *], [* 421,
        1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 6*x^2 + 1
);
eps_on_gens:=
[* 840,
    [ [* 337,
        1/2*(-a^3 - 5*a)
    *], [* 241,
        -1
    *], [* 631,
        1
    *], [* 421,
        -1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, -1 *], [* 241, -1 *], [* 631, 1 *], [* 421, 1 *], [* 281, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, -1 *], [* 241, -1 *], [* 631, 1 *], [* 421, -1 *], [* 281, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, -1 *], [* 241, -1 *], [* 631, -1 *], [* 421, 1 *], [* 281, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 840,
    [ [* 337, -1 *], [* 241, -1 *], [* 631, -1 *], [* 421, -1 *], [* 281, -1 *] 
    ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^336 + x^334 - x^322 - x^320 + x^308 + x^306 - x^294 - x^292 + x^280 - x^276 - 
    x^266 + x^262 + x^252 - x^248 - x^238 + x^234 + x^224 + x^218 - x^210 - 
    x^204 + x^196 + x^190 - x^182 - x^176 + x^168 - x^160 - x^154 + x^146 + 
    x^140 - x^132 - x^126 + x^118 + x^112 + x^102 - x^98 - x^88 + x^84 + x^74 - 
    x^70 - x^60 + x^56 - x^44 - x^42 + x^30 + x^28 - x^16 - x^14 + x^2 + 1
);
eps_on_gens:=
[* 841,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - 
    x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 +
    x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 841,
    [ [* 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:=
[* 841,
    [ [* 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:=
[* 841,
    [ [* 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^94 + x^92 + x^86 - x^84 + 2*x^82 - x^80 + x^78 + x^72 - x^70 + x^68 - 
    x^66 + x^64 - x^62 - x^56 - x^52 - x^48 - x^44 - x^40 - x^34 + x^32 - x^30 +
    x^28 - x^26 + x^24 + x^18 - x^16 + 2*x^14 - x^12 + x^10 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 842,
    [ [* 423,
        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:=
[* 842,
    [ [* 423,
        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:=
[* 842,
    [ [* 423,
        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:=
[* 842,
    [ [* 423,
        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:=
[* 842,
    [ [* 423,
        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:=
[* 842,
    [ [* 423,
        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:=
[* 842,
    [ [* 423,
        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:=
[* 842,
    [ [* 423,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 843,
    [ [* 565, 1 *], [* 563, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^92 - x^76 - x^72 - x^68 - x^64 + x^56 + x^52 + x^48 + x^44 + x^40 - 
    x^32 - x^28 - x^24 - x^20 + x^4 + 1
);
eps_on_gens:=
[* 843,
    [ [* 565,
        a
    *], [* 563,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - 
    x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 843,
    [ [* 565,
        a
    *], [* 563,
        -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:=
[* 843,
    [ [* 565,
        a
    *], [* 563,
        -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:=
[* 843,
    [ [* 565,
        a
    *], [* 563,
        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:=
[* 843,
    [ [* 565,
        a
    *], [* 563,
        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:=
[* 843,
    [ [* 565,
        a^2
    *], [* 563,
        -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:=
[* 843,
    [ [* 565,
        a
    *], [* 563,
        -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:=
[* 843,
    [ [* 565,
        a
    *], [* 563,
        -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:=
[* 843,
    [ [* 565,
        a
    *], [* 563,
        -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:=
[* 843,
    [ [* 565,
        a
    *], [* 563,
        -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:=
[* 843,
    [ [* 565,
        a
    *], [* 563,
        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:=
[* 843,
    [ [* 565,
        a^2
    *], [* 563,
        -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:=
[* 843,
    [ [* 565,
        a^2
    *], [* 563,
        -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:=
[* 843,
    [ [* 565,
        -a^2
    *], [* 563,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 843,
    [ [* 565, -1 *], [* 563, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 844,
    [ [* 213, 1 *], [* 423, -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:=
[* 844,
    [ [* 213,
        a
    *], [* 423,
        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:=
[* 844,
    [ [* 213,
        a^2
    *], [* 423,
        -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:=
[* 844,
    [ [* 213,
        a
    *], [* 423,
        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:=
[* 844,
    [ [* 213,
        a
    *], [* 423,
        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:=
[* 844,
    [ [* 213,
        a^2
    *], [* 423,
        -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:=
[* 844,
    [ [* 213,
        a
    *], [* 423,
        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:=
[* 844,
    [ [* 213,
        a^2
    *], [* 423,
        -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:=
[* 844,
    [ [* 213,
        a^2
    *], [* 423,
        -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:=
[* 844,
    [ [* 213,
        a
    *], [* 423,
        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:=
[* 844,
    [ [* 213,
        a
    *], [* 423,
        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:=
[* 844,
    [ [* 213,
        a^2
    *], [* 423,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 844,
    [ [* 213,
        a
    *], [* 423,
        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:=
[* 844,
    [ [* 213,
        a^2
    *], [* 423,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 844,
    [ [* 213,
        a - 1
    *], [* 423,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 844,
    [ [* 213,
        -1
    *], [* 423,
        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:=
[* 845,
    [ [* 171,
        1
    *], [* 677,
        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:=
[* 845,
    [ [* 171,
        a
    *], [* 677,
        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:=
[* 845,
    [ [* 171,
        a
    *], [* 677,
        -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:=
[* 845,
    [ [* 171,
        a^2
    *], [* 677,
        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:=
[* 845,
    [ [* 171,
        a
    *], [* 677,
        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:=
[* 845,
    [ [* 171,
        a
    *], [* 677,
        -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:=
[* 845,
    [ [* 171,
        a^4
    *], [* 677,
        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:=
[* 845,
    [ [* 171,
        a^2
    *], [* 677,
        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:=
[* 845,
    [ [* 171,
        a^4
    *], [* 677,
        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:=
[* 845,
    [ [* 171,
        a
    *], [* 677,
        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:=
[* 845,
    [ [* 171,
        a
    *], [* 677,
        -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:=
[* 845,
    [ [* 171,
        a^2
    *], [* 677,
        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:=
[* 845,
    [ [* 171,
        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 + 1
);
eps_on_gens:=
[* 845,
    [ [* 171,
        a
    *], [* 677,
        -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:=
[* 845,
    [ [* 171,
        a^2 - 1
    *], [* 677,
        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:=
[* 845,
    [ [* 171,
        -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:=
[* 846,
    [ [* 757,
        1
    *], [* 659,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 846,
    [ [* 757, 1 *], [* 659, -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:=
[* 846,
    [ [* 757,
        a
    *], [* 659,
        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:=
[* 846,
    [ [* 757,
        a^3
    *], [* 659,
        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:=
[* 846,
    [ [* 757,
        a^6
    *], [* 659,
        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:=
[* 846,
    [ [* 757,
        a^2
    *], [* 659,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 846,
    [ [* 757, -1 *], [* 659, 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:=
[* 846,
    [ [* 757,
        -1
    *], [* 659,
        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:=
[* 847,
    [ [* 122,
        a
    *], [* 365,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 847,
    [ [* 122,
        -1
    *], [* 365,
        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:=
[* 847,
    [ [* 122,
        1
    *], [* 365,
        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:=
[* 847,
    [ [* 122,
        a^55 - 1
    *], [* 365,
        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^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:=
[* 847,
    [ [* 122,
        a^55
    *], [* 365,
        a^6
    *] ]
*]
;
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^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:=
[* 847,
    [ [* 122,
        -1
    *], [* 365,
        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:=
[* 847,
    [ [* 122,
        1
    *], [* 365,
        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:=
[* 847,
    [ [* 122,
        a^11 - 1
    *], [* 365,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - 
    x^3 + x + 1
);
eps_on_gens:=
[* 847,
    [ [* 122,
        a^11
    *], [* 365,
        a^6
    *] ]
*]
;
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:=
[* 847,
    [ [* 122,
        -1
    *], [* 365,
        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:=
[* 847,
    [ [* 122,
        1
    *], [* 365,
        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:=
[* 847,
    [ [* 122,
        a^5 - 1
    *], [* 365,
        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:=
[* 847,
    [ [* 122,
        a^5
    *], [* 365,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 847,
    [ [* 122,
        -1
    *], [* 365,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 847,
    [ [* 122, 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:=
[* 847,
    [ [* 122,
        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:=
[* 848,
    [ [* 161, 1 *], [* 213, 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:=
[* 848,
    [ [* 161,
        1
    *], [* 213,
        a
    *], [* 319,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 848,
    [ [* 161, 1 *], [* 213, -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:=
[* 848,
    [ [* 161,
        a
    *], [* 213,
        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:=
[* 848,
    [ [* 161,
        a
    *], [* 213,
        a^13
    *], [* 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:=
[* 848,
    [ [* 161,
        a
    *], [* 213,
        -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:=
[* 848,
    [ [* 161,
        a
    *], [* 213,
        -a^13
    *], [* 319,
        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:=
[* 848,
    [ [* 161,
        a
    *], [* 213,
        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:=
[* 848,
    [ [* 161,
        a^2
    *], [* 213,
        a^13
    *], [* 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:=
[* 848,
    [ [* 161,
        a
    *], [* 213,
        -1
    *], [* 319,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 848,
    [ [* 161,
        a^2
    *], [* 213,
        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:=
[* 848,
    [ [* 161,
        a^4
    *], [* 213,
        a^13
    *], [* 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:=
[* 848,
    [ [* 161,
        a^2
    *], [* 213,
        -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:=
[* 848,
    [ [* 161,
        a
    *], [* 213,
        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:=
[* 848,
    [ [* 161,
        a
    *], [* 213,
        a
    *], [* 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:=
[* 848,
    [ [* 161,
        a
    *], [* 213,
        -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:=
[* 848,
    [ [* 161,
        a
    *], [* 213,
        -a
    *], [* 319,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 848,
    [ [* 161,
        -1
    *], [* 213,
        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:=
[* 848,
    [ [* 161,
        -1
    *], [* 213,
        a
    *], [* 319,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 848,
    [ [* 161, -1 *], [* 213, -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:=
[* 849,
    [ [* 286, 1 *], [* 284, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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^50 + x^49 - x^47 - 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:=
[* 849,
    [ [* 286,
        a
    *], [* 284,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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^50 + x^49 - x^47 - 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:=
[* 849,
    [ [* 286,
        a^2
    *], [* 284,
        -1
    *] ]
*]
;
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:=
[* 849,
    [ [* 286,
        a
    *], [* 284,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 849,
    [ [* 286,
        a^2
    *], [* 284,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 849,
    [ [* 286,
        a
    *], [* 284,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 849,
    [ [* 286,
        a - 1
    *], [* 284,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 849,
    [ [* 286, -1 *], [* 284, 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:=
[* 850,
    [ [* 477,
        a
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        a
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        1
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        a^8
    *], [* 751,
        a^5
    *] ]
*]
;
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:=
[* 850,
    [ [* 477,
        a^16
    *], [* 751,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 850,
    [ [* 477,
        -1
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        a^2
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        a^6
    *], [* 751,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 850,
    [ [* 477,
        a^2
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        -a^2
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        a
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        a^3
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        a
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        -a
    *], [* 751,
        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:=
[* 850,
    [ [* 477,
        a
    *], [* 751,
        -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:=
[* 850,
    [ [* 477,
        a
    *], [* 751,
        -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:=
[* 851,
    [ [* 741,
        a
    *], [* 668,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 851,
    [ [* 741, -1 *], [* 668, 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:=
[* 851,
    [ [* 741,
        1
    *], [* 668,
        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:=
[* 851,
    [ [* 741,
        a^36
    *], [* 668,
        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^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:=
[* 851,
    [ [* 741,
        a^9
    *], [* 668,
        a^11
    *] ]
*]
;
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:=
[* 851,
    [ [* 741,
        -1
    *], [* 668,
        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:=
[* 851,
    [ [* 741,
        1
    *], [* 668,
        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:=
[* 851,
    [ [* 741,
        a^12
    *], [* 668,
        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^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:=
[* 851,
    [ [* 741,
        a^9
    *], [* 668,
        a^22
    *] ]
*]
;
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:=
[* 851,
    [ [* 741,
        -1
    *], [* 668,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - 
    x^3 + x + 1
);
eps_on_gens:=
[* 851,
    [ [* 741,
        a^3
    *], [* 668,
        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:=
[* 851,
    [ [* 741,
        -1
    *], [* 668,
        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:=
[* 851,
    [ [* 741,
        1
    *], [* 668,
        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:=
[* 851,
    [ [* 741,
        a^4
    *], [* 668,
        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:=
[* 851,
    [ [* 741,
        a^3
    *], [* 668,
        a^11 - 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:=
[* 851,
    [ [* 741,
        -1
    *], [* 668,
        -2*a^3 + 3*a^2 - 8*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:=
[* 851,
    [ [* 741,
        a
    *], [* 668,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 851,
    [ [* 741,
        -1
    *], [* 668,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 852,
    [ [* 433, 1 *], [* 569, 1 *], [* 427, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 852,
    [ [* 433, 1 *], [* 569, -1 *], [* 427, 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:=
[* 852,
    [ [* 433,
        a
    *], [* 569,
        1
    *], [* 427,
        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:=
[* 852,
    [ [* 433,
        a
    *], [* 569,
        -1
    *], [* 427,
        -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:=
[* 852,
    [ [* 433,
        a^2
    *], [* 569,
        1
    *], [* 427,
        -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:=
[* 852,
    [ [* 433,
        a^2
    *], [* 569,
        -1
    *], [* 427,
        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:=
[* 852,
    [ [* 433,
        a
    *], [* 569,
        1
    *], [* 427,
        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:=
[* 852,
    [ [* 433,
        a
    *], [* 569,
        -1
    *], [* 427,
        -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:=
[* 852,
    [ [* 433,
        a
    *], [* 569,
        1
    *], [* 427,
        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:=
[* 852,
    [ [* 433,
        a
    *], [* 569,
        -1
    *], [* 427,
        -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:=
[* 852,
    [ [* 433,
        a^2
    *], [* 569,
        1
    *], [* 427,
        -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:=
[* 852,
    [ [* 433,
        a^2
    *], [* 569,
        -1
    *], [* 427,
        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:=
[* 852,
    [ [* 433,
        a^2
    *], [* 569,
        1
    *], [* 427,
        -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:=
[* 852,
    [ [* 433,
        a^2
    *], [* 569,
        -1
    *], [* 427,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 852,
    [ [* 433, -1 *], [* 569, 1 *], [* 427, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
14
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 852,
    [ [* 433,
        -1
    *], [* 569,
        -1
    *], [* 427,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^280 + x^278 - x^274 - x^272 + x^268 + x^266 - x^262 - x^260 + x^256 + x^254 - 
    x^250 - x^248 + x^244 + x^242 - x^238 - x^236 + x^232 + x^230 - x^226 - 
    x^224 + x^220 + x^218 - x^214 - x^212 + x^208 + x^206 - x^202 - x^200 + 
    x^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^138 + x^134 + x^132 - x^128 - x^126 + x^122 + x^120 - 
    x^116 - x^114 + x^110 + x^108 - x^104 - x^102 + x^98 + x^96 - x^92 - x^90 + 
    x^86 + x^84 - x^80 - x^78 + x^74 + x^72 - x^68 - x^66 + x^62 + x^60 - x^56 -
    x^54 + x^50 + x^48 - x^44 - x^42 + x^38 + x^36 - x^32 - x^30 + x^26 + x^24 -
    x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 853,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 853,
    [ [* 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:=
[* 853,
    [ [* 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:=
[* 853,
    [ [* 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:=
[* 854,
    [ [* 673,
        1
    *], [* 367,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 854,
    [ [* 673, 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:=
[* 854,
    [ [* 673,
        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:=
[* 854,
    [ [* 673,
        a
    *], [* 367,
        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:=
[* 854,
    [ [* 673,
        a
    *], [* 367,
        -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:=
[* 854,
    [ [* 673,
        a
    *], [* 367,
        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:=
[* 854,
    [ [* 673,
        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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 854,
    [ [* 673,
        a
    *], [* 367,
        -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:=
[* 854,
    [ [* 673,
        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:=
[* 854,
    [ [* 673,
        a^3
    *], [* 367,
        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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 854,
    [ [* 673,
        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^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 854,
    [ [* 673,
        a^2
    *], [* 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:=
[* 854,
    [ [* 673,
        a^2
    *], [* 367,
        -a^5 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 854,
    [ [* 673,
        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:=
[* 854,
    [ [* 673,
        a
    *], [* 367,
        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:=
[* 854,
    [ [* 673,
        a
    *], [* 367,
        -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:=
[* 854,
    [ [* 673,
        a^3
    *], [* 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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 854,
    [ [* 673,
        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 - x + 1
);
eps_on_gens:=
[* 854,
    [ [* 673,
        a
    *], [* 367,
        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:=
[* 854,
    [ [* 673,
        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 - x + 1
);
eps_on_gens:=
[* 854,
    [ [* 673,
        a
    *], [* 367,
        -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:=
[* 854,
    [ [* 673,
        a^6
    *], [* 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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 854,
    [ [* 673,
        a^2
    *], [* 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:=
[* 854,
    [ [* 673,
        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:=
[* 854,
    [ [* 673,
        a^3
    *], [* 367,
        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:=
[* 854,
    [ [* 673,
        a - 1
    *], [* 367,
        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:=
[* 854,
    [ [* 673,
        a - 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:=
[* 854,
    [ [* 673,
        a - 1
    *], [* 367,
        -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:=
[* 854,
    [ [* 673,
        -1
    *], [* 367,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 854,
    [ [* 673, -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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        1
    *], [* 191,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 855,
    [ [* 172, 1 *], [* 496, 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:=
[* 855,
    [ [* 172,
        a
    *], [* 496,
        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:=
[* 855,
    [ [* 172,
        a^3
    *], [* 496,
        1
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        1
    *], [* 191,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 855,
    [ [* 172, -1 *], [* 496, 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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        a
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        a
    *], [* 191,
        -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:=
[* 855,
    [ [* 172,
        a^9
    *], [* 496,
        a^2
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        a^9
    *], [* 496,
        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^12 - x^6 + 1
);
eps_on_gens:=
[* 855,
    [ [* 172,
        a^9
    *], [* 496,
        a^2
    *], [* 191,
        -a^6 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        a^10
    *], [* 191,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        a
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        a
    *], [* 191,
        -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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        a^2
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        a^2
    *], [* 191,
        -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:=
[* 855,
    [ [* 172,
        a^9
    *], [* 496,
        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:=
[* 855,
    [ [* 172,
        a^9
    *], [* 496,
        a^4
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        a^9
    *], [* 496,
        a^4
    *], [* 191,
        -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:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        a^2
    *], [* 191,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        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:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        a^2
    *], [* 191,
        -a^3 + 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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        a
    *], [* 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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        a
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        a
    *], [* 191,
        -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:=
[* 855,
    [ [* 172,
        a^3
    *], [* 496,
        a^2
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        a^3
    *], [* 496,
        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^4 - x^2 + 1
);
eps_on_gens:=
[* 855,
    [ [* 172,
        a^3
    *], [* 496,
        a^2
    *], [* 191,
        -a^2 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 4*x^2 + 16
);
eps_on_gens:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        1/4*(-a^2 + 4)
    *], [* 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:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        a
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        a
    *], [* 191,
        -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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        a - 1
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        a - 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 - x + 1
);
eps_on_gens:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        a - 1
    *], [* 191,
        -a + 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:=
[* 855,
    [ [* 172,
        -a^6
    *], [* 496,
        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:=
[* 855,
    [ [* 172,
        a^3
    *], [* 496,
        a^2 - 1
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        a^3
    *], [* 496,
        a^2 - 1
    *], [* 191,
        -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:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        a - 1
    *], [* 191,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
4
;
C<a>:=NumberField(
x^8 + 2*x^6 + 31*x^4 + 30*x^2 + 9
);
eps_on_gens:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        1/15*(-2*a^6 - 3*a^4 - 58*a^2 - 36)
    *], [* 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:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        a - 1
    *], [* 191,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 855,
    [ [* 172, 1 *], [* 496, -1 *], [* 191, 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:=
[* 855,
    [ [* 172,
        1
    *], [* 496,
        -1
    *], [* 191,
        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:=
[* 855,
    [ [* 172,
        a^3
    *], [* 496,
        -1
    *], [* 191,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 16
);
eps_on_gens:=
[* 855,
    [ [* 172,
        1/4*a^2
    *], [* 496,
        -1
    *], [* 191,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        -1
    *], [* 191,
        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^6 + 15*x^4 + 4*x^2 + 1
);
eps_on_gens:=
[* 855,
    [ [* 172,
        -1
    *], [* 496,
        -1
    *], [* 191,
        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:=Rationals();
eps_on_gens:=
[* 856,
    [ [* 537, 1 *], [* 429, 1 *], [* 215, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 856,
    [ [* 537, 1 *], [* 429, -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:=
[* 856,
    [ [* 537,
        a
    *], [* 429,
        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:=
[* 856,
    [ [* 537,
        a
    *], [* 429,
        -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:=
[* 856,
    [ [* 537,
        a^2
    *], [* 429,
        1
    *], [* 215,
        -1
    *] ]
*]
;
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:=
[* 856,
    [ [* 537,
        a^2
    *], [* 429,
        -1
    *], [* 215,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 856,
    [ [* 537, -1 *], [* 429, 1 *], [* 215, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 856,
    [ [* 537,
        -1
    *], [* 429,
        -1
    *], [* 215,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^424 - x^420 + x^416 - x^412 + x^408 - x^404 + x^400 - x^396 + x^392 - x^388 + 
    x^384 - x^380 + x^376 - x^372 + x^368 - x^364 + x^360 - x^356 + x^352 - 
    x^348 + x^344 - x^340 + x^336 - x^332 + x^328 - x^324 + x^320 - x^316 + 
    x^312 - x^308 + x^304 - x^300 + x^296 - x^292 + x^288 - x^284 + x^280 - 
    x^276 + x^272 - x^268 + x^264 - x^260 + x^256 - x^252 + x^248 - x^244 + 
    x^240 - x^236 + x^232 - x^228 + x^224 - x^220 + x^216 - x^212 + x^208 - 
    x^204 + x^200 - x^196 + x^192 - x^188 + x^184 - x^180 + x^176 - x^172 + 
    x^168 - x^164 + x^160 - x^156 + x^152 - x^148 + x^144 - x^140 + x^136 - 
    x^132 + x^128 - x^124 + x^120 - x^116 + 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:=
[* 857,
    [ [* 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:=
[* 857,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 858,
    [ [* 79, 1 *], [* 67, 1 *], [* 287, -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:=
[* 858,
    [ [* 79,
        a
    *], [* 67,
        1
    *], [* 287,
        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:=
[* 858,
    [ [* 79,
        a^2
    *], [* 67,
        1
    *], [* 287,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 858,
    [ [* 79, -1 *], [* 67, 1 *], [* 287, 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:=
[* 858,
    [ [* 79,
        1
    *], [* 67,
        a
    *], [* 287,
        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:=
[* 858,
    [ [* 79,
        a^6
    *], [* 67,
        a^5
    *], [* 287,
        -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:=
[* 858,
    [ [* 79,
        a^12
    *], [* 67,
        a^5
    *], [* 287,
        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:=
[* 858,
    [ [* 79,
        -1
    *], [* 67,
        a
    *], [* 287,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 858,
    [ [* 79,
        1
    *], [* 67,
        a
    *], [* 287,
        -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:=
[* 858,
    [ [* 79,
        a^3
    *], [* 67,
        a^5
    *], [* 287,
        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:=
[* 858,
    [ [* 79,
        a^6
    *], [* 67,
        a^5
    *], [* 287,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 858,
    [ [* 79,
        -1
    *], [* 67,
        a
    *], [* 287,
        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:=
[* 858,
    [ [* 79,
        1
    *], [* 67,
        a
    *], [* 287,
        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:=
[* 858,
    [ [* 79,
        a^2
    *], [* 67,
        a^5
    *], [* 287,
        -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:=
[* 858,
    [ [* 79,
        a^4
    *], [* 67,
        a^5
    *], [* 287,
        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:=
[* 858,
    [ [* 79,
        -1
    *], [* 67,
        a
    *], [* 287,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 858,
    [ [* 79,
        1
    *], [* 67,
        a - 1
    *], [* 287,
        -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:=
[* 858,
    [ [* 79,
        a^3
    *], [* 67,
        a^5 - 1
    *], [* 287,
        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:=
[* 858,
    [ [* 79,
        a^6
    *], [* 67,
        a^5 - 1
    *], [* 287,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 858,
    [ [* 79,
        -1
    *], [* 67,
        a - 1
    *], [* 287,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 858,
    [ [* 79, 1 *], [* 67, -1 *], [* 287, -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:=
[* 858,
    [ [* 79,
        a
    *], [* 67,
        -1
    *], [* 287,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 858,
    [ [* 79,
        a^2
    *], [* 67,
        -1
    *], [* 287,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 858,
    [ [* 79, -1 *], [* 67, -1 *], [* 287, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 - x^239 + x^238 + x^229 - x^228 + 2*x^227 - x^226 + x^225 + x^216 - x^215 
    + x^214 - x^207 + x^206 - x^205 - x^201 + x^200 - x^199 - x^196 + x^195 - 
    2*x^194 + x^193 - x^192 - x^190 + x^189 - 2*x^188 + x^187 - x^186 - x^183 + 
    x^182 - x^181 - x^177 + x^176 - x^175 + x^174 - x^173 + x^172 + x^168 - 
    x^167 + x^166 + x^163 + x^161 + x^159 + x^157 - x^156 + 2*x^155 - x^154 + 
    x^153 + x^151 + x^149 + x^147 + 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^130 - x^128 - 
    x^126 - x^124 - x^122 - x^120 - x^118 - x^116 - x^114 - x^112 - x^110 - 
    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^93 + x^91 + x^89 + x^87 - x^86 + 2*x^85 - x^84 + x^83 + 
    x^81 + x^79 + x^77 + x^74 - x^73 + x^72 + x^68 - x^67 + x^66 - x^65 + x^64 -
    x^63 - x^59 + x^58 - x^57 - x^54 + x^53 - 2*x^52 + x^51 - x^50 - x^48 + x^47
    - 2*x^46 + x^45 - x^44 - x^41 + x^40 - x^39 - x^35 + x^34 - x^33 + x^26 - 
    x^25 + x^24 + x^15 - x^14 + 2*x^13 - x^12 + x^11 + x^2 - x + 1
);
eps_on_gens:=
[* 859,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^119 - x^109 - x^108 - x^107 - x^106 + x^98 + x^97 + x^96 + x^95 + x^94
    + x^93 - x^87 - x^86 - x^85 - x^84 - x^83 - x^82 - x^81 - x^80 + x^76 + x^75
    + x^74 + x^73 + x^72 + x^71 + x^70 + x^69 + x^68 + x^67 - x^65 - x^64 - x^63
    - x^62 - x^61 - x^60 - x^59 - x^58 - x^57 - x^56 - x^55 + x^53 + x^52 + x^51
    + x^50 + x^49 + x^48 + x^47 + x^46 + x^45 + x^44 - x^40 - x^39 - x^38 - x^37
    - x^36 - x^35 - x^34 - x^33 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 - x^14
    - x^13 - x^12 - x^11 + x + 1
);
eps_on_gens:=
[* 859,
    [ [* 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^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:=
[* 859,
    [ [* 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^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:=
[* 859,
    [ [* 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^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 859,
    [ [* 2,
        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:=
[* 859,
    [ [* 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:=
[* 859,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 859,
    [ [* 2,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 860,
    [ [* 517, 1 *], [* 261, 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:=
[* 860,
    [ [* 517,
        a
    *], [* 261,
        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:=
[* 860,
    [ [* 517, -1 *], [* 261, 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:=
[* 860,
    [ [* 517,
        1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        a^21
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        -1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        a^21
    *], [* 261,
        a^4
    *], [* 431,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 860,
    [ [* 517,
        -1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        a^7
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        -1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        a^7
    *], [* 261,
        a^4
    *], [* 431,
        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:=
[* 860,
    [ [* 517,
        -1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        a^3
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        -1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        1
    *], [* 261,
        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:=
[* 860,
    [ [* 517,
        a^3
    *], [* 261,
        a^2 - 1
    *], [* 431,
        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:=
[* 860,
    [ [* 517,
        -1
    *], [* 261,
        a - 1
    *], [* 431,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 860,
    [ [* 517, 1 *], [* 261, -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:=
[* 860,
    [ [* 517,
        a
    *], [* 261,
        -1
    *], [* 431,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 860,
    [ [* 517, -1 *], [* 261, -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:=
[* 861,
    [ [* 493, 1 *], [* 211, 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:=
[* 861,
    [ [* 493,
        a
    *], [* 211,
        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:=
[* 861,
    [ [* 493,
        a - 1
    *], [* 211,
        1
    *], [* 575,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 861,
    [ [* 493, -1 *], [* 211, 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:=
[* 861,
    [ [* 493,
        1
    *], [* 211,
        a
    *], [* 575,
        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:=
[* 861,
    [ [* 493,
        a^20
    *], [* 211,
        a^3
    *], [* 575,
        -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:=
[* 861,
    [ [* 493,
        a^20 - 1
    *], [* 211,
        a^3
    *], [* 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:=
[* 861,
    [ [* 493,
        -1
    *], [* 211,
        a
    *], [* 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:=
[* 861,
    [ [* 493,
        1
    *], [* 211,
        a
    *], [* 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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 861,
    [ [* 493,
        a^10
    *], [* 211,
        a^3
    *], [* 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^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 861,
    [ [* 493,
        a^10 - 1
    *], [* 211,
        a^3
    *], [* 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:=
[* 861,
    [ [* 493,
        -1
    *], [* 211,
        a
    *], [* 575,
        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:=
[* 861,
    [ [* 493,
        1
    *], [* 211,
        a
    *], [* 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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 861,
    [ [* 493,
        a^5
    *], [* 211,
        a^3
    *], [* 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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 861,
    [ [* 493,
        a^5 - 1
    *], [* 211,
        a^3
    *], [* 575,
        -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:=
[* 861,
    [ [* 493,
        -1
    *], [* 211,
        a
    *], [* 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:=
[* 861,
    [ [* 493,
        1
    *], [* 211,
        a
    *], [* 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^4 + 1
);
eps_on_gens:=
[* 861,
    [ [* 493,
        a^4
    *], [* 211,
        a^3
    *], [* 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^4 + 1
);
eps_on_gens:=
[* 861,
    [ [* 493,
        a^4 - 1
    *], [* 211,
        a^3
    *], [* 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:=
[* 861,
    [ [* 493,
        -1
    *], [* 211,
        a
    *], [* 575,
        -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:=
[* 861,
    [ [* 493,
        1
    *], [* 211,
        a^2
    *], [* 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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 861,
    [ [* 493,
        a^5
    *], [* 211,
        a^6
    *], [* 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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 861,
    [ [* 493,
        a^5 - 1
    *], [* 211,
        a^6
    *], [* 575,
        -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:=
[* 861,
    [ [* 493,
        -1
    *], [* 211,
        a^2
    *], [* 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:=
[* 861,
    [ [* 493,
        1
    *], [* 211,
        a
    *], [* 575,
        -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:=
[* 861,
    [ [* 493,
        a^2
    *], [* 211,
        a^3
    *], [* 575,
        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:=
[* 861,
    [ [* 493,
        a^2 - 1
    *], [* 211,
        a^3
    *], [* 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:=
[* 861,
    [ [* 493,
        -1
    *], [* 211,
        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:=
[* 861,
    [ [* 493, 1 *], [* 211, -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:=
[* 861,
    [ [* 493,
        a
    *], [* 211,
        -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:=
[* 861,
    [ [* 493,
        a - 1
    *], [* 211,
        -1
    *], [* 575,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 861,
    [ [* 493, -1 *], [* 211, -1 *], [* 575, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^168 + x^167 - x^163 - x^162 + x^158 + x^157 - x^153 - x^152 + x^148 + x^147 - 
    x^143 - x^142 + x^138 + x^137 - x^133 - x^132 + x^128 + x^127 - x^125 - 
    x^124 - x^123 - x^122 + x^120 + x^119 + x^118 + x^117 - x^115 - x^114 - 
    x^113 - x^112 + x^110 + x^109 + x^108 + x^107 - x^105 - x^104 - x^103 - 
    x^102 + x^100 + x^99 + x^98 + x^97 - x^95 - x^94 - x^93 - x^92 + x^90 + x^89
    + x^88 + x^87 - x^85 - x^84 - x^83 + x^81 + x^80 + x^79 + x^78 - x^76 - x^75
    - x^74 - x^73 + x^71 + x^70 + x^69 + x^68 - x^66 - x^65 - x^64 - x^63 + x^61
    + x^60 + x^59 + x^58 - x^56 - x^55 - x^54 - x^53 + x^51 + x^50 + x^49 + x^48
    - x^46 - x^45 - x^44 - x^43 + x^41 + x^40 - x^36 - x^35 + x^31 + x^30 - x^26
    - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 862,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - 
    x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 +
    x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 -
    x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 862,
    [ [* 7,
        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:=
[* 862,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 862,
    [ [* 7, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^430 - x^429 + x^428 - x^427 + x^426 - x^425 + x^424 - x^423 + x^422 - x^421 + 
    x^420 - x^419 + x^418 - x^417 + x^416 - x^415 + x^414 - x^413 + x^412 - 
    x^411 + x^410 - x^409 + x^408 - x^407 + x^406 - x^405 + x^404 - x^403 + 
    x^402 - x^401 + x^400 - x^399 + x^398 - x^397 + x^396 - x^395 + x^394 - 
    x^393 + x^392 - x^391 + x^390 - x^389 + x^388 - x^387 + x^386 - x^385 + 
    x^384 - x^383 + x^382 - x^381 + x^380 - x^379 + x^378 - x^377 + x^376 - 
    x^375 + x^374 - x^373 + x^372 - x^371 + x^370 - x^369 + x^368 - x^367 + 
    x^366 - x^365 + x^364 - x^363 + x^362 - x^361 + x^360 - x^359 + x^358 - 
    x^357 + x^356 - x^355 + x^354 - x^353 + x^352 - x^351 + x^350 - x^349 + 
    x^348 - x^347 + x^346 - x^345 + x^344 - x^343 + x^342 - x^341 + x^340 - 
    x^339 + x^338 - x^337 + x^336 - x^335 + x^334 - x^333 + x^332 - x^331 + 
    x^330 - x^329 + x^328 - x^327 + x^326 - x^325 + x^324 - x^323 + x^322 - 
    x^321 + x^320 - x^319 + x^318 - x^317 + x^316 - x^315 + x^314 - x^313 + 
    x^312 - x^311 + x^310 - x^309 + x^308 - x^307 + x^306 - x^305 + x^304 - 
    x^303 + x^302 - x^301 + x^300 - x^299 + x^298 - x^297 + x^296 - x^295 + 
    x^294 - x^293 + x^292 - x^291 + x^290 - x^289 + x^288 - x^287 + x^286 - 
    x^285 + x^284 - x^283 + x^282 - x^281 + x^280 - x^279 + x^278 - x^277 + 
    x^276 - x^275 + x^274 - x^273 + x^272 - x^271 + x^270 - x^269 + x^268 - 
    x^267 + x^266 - x^265 + x^264 - x^263 + x^262 - x^261 + x^260 - x^259 + 
    x^258 - x^257 + x^256 - x^255 + x^254 - x^253 + x^252 - x^251 + x^250 - 
    x^249 + x^248 - x^247 + x^246 - x^245 + x^244 - x^243 + x^242 - x^241 + 
    x^240 - x^239 + x^238 - x^237 + x^236 - x^235 + x^234 - x^233 + x^232 - 
    x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - x^225 + x^224 - x^223 + 
    x^222 - x^221 + x^220 - x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - 
    x^213 + x^212 - x^211 + x^210 - x^209 + x^208 - x^207 + x^206 - x^205 + 
    x^204 - x^203 + x^202 - x^201 + x^200 - x^199 + x^198 - x^197 + x^196 - 
    x^195 + x^194 - x^193 + x^192 - x^191 + x^190 - x^189 + x^188 - x^187 + 
    x^186 - x^185 + x^184 - x^183 + x^182 - x^181 + x^180 - x^179 + x^178 - 
    x^177 + x^176 - x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + 
    x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - 
    x^159 + x^158 - x^157 + x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + 
    x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - 
    x^141 + x^140 - x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + 
    x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - 
    x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + 
    x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - 
    x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - 
    x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 +
    x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 -
    x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 +
    x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 -
    x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 +
    x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 -
    x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 +
    x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - 
    x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 863,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 863,
    [ [* 5,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 864,
    [ [* 325, 1 *], [* 353, 1 *], [* 703, -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:=
[* 864,
    [ [* 325,
        a
    *], [* 353,
        1
    *], [* 703,
        -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:=
[* 864,
    [ [* 325,
        a
    *], [* 353,
        1
    *], [* 703,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 864,
    [ [* 325, -1 *], [* 353, 1 *], [* 703, -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:=
[* 864,
    [ [* 325,
        1
    *], [* 353,
        a
    *], [* 703,
        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:=
[* 864,
    [ [* 325,
        a^9
    *], [* 353,
        a^4
    *], [* 703,
        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:=
[* 864,
    [ [* 325,
        a^9
    *], [* 353,
        a^2
    *], [* 703,
        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:=
[* 864,
    [ [* 325,
        -1
    *], [* 353,
        a
    *], [* 703,
        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:=
[* 864,
    [ [* 325,
        1
    *], [* 353,
        a^2
    *], [* 703,
        -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:=
[* 864,
    [ [* 325,
        a^9
    *], [* 353,
        a^8
    *], [* 703,
        -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:=
[* 864,
    [ [* 325,
        a^9
    *], [* 353,
        a^4
    *], [* 703,
        -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:=
[* 864,
    [ [* 325,
        -1
    *], [* 353,
        a^2
    *], [* 703,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 864,
    [ [* 325,
        1
    *], [* 353,
        a
    *], [* 703,
        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:=
[* 864,
    [ [* 325,
        a^3
    *], [* 353,
        a^4
    *], [* 703,
        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:=
[* 864,
    [ [* 325,
        a^3
    *], [* 353,
        a^2
    *], [* 703,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 864,
    [ [* 325,
        -1
    *], [* 353,
        a
    *], [* 703,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 864,
    [ [* 325,
        1
    *], [* 353,
        a^2 - 1
    *], [* 703,
        -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:=
[* 864,
    [ [* 325,
        a^3
    *], [* 353,
        a^4 - 1
    *], [* 703,
        -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:=
[* 864,
    [ [* 325,
        a^3
    *], [* 353,
        a^2 - 1
    *], [* 703,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
11
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 864,
    [ [* 325,
        -1
    *], [* 353,
        a - 1
    *], [* 703,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 864,
    [ [* 325, 1 *], [* 353, -1 *], [* 703, 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:=
[* 864,
    [ [* 325,
        a
    *], [* 353,
        -1
    *], [* 703,
        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:=
[* 864,
    [ [* 325,
        a
    *], [* 353,
        -1
    *], [* 703,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 864,
    [ [* 325, -1 *], [* 353, -1 *], [* 703, 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:=
[* 865,
    [ [* 521,
        1
    *], [* 347,
        a
    *] ]
*]
;
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:=
[* 865,
    [ [* 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^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:=
[* 865,
    [ [* 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^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:=
[* 865,
    [ [* 521,
        a^2
    *], [* 347,
        a^43
    *] ]
*]
;
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:=
[* 865,
    [ [* 521,
        a^4
    *], [* 347,
        a^43
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 865,
    [ [* 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^2 + 1
);
eps_on_gens:=
[* 865,
    [ [* 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^2 + 1
);
eps_on_gens:=
[* 865,
    [ [* 521,
        -1
    *], [* 347,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^72 + 1
);
eps_on_gens:=
[* 866,
    [ [* 5,
        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:=
[* 866,
    [ [* 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^8 + 1
);
eps_on_gens:=
[* 866,
    [ [* 5,
        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:=
[* 866,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 867,
    [ [* 292, 1 *], [* 290, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 867,
    [ [* 292,
        a
    *], [* 290,
        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:=
[* 867,
    [ [* 292,
        a
    *], [* 290,
        -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:=
[* 867,
    [ [* 292,
        a
    *], [* 290,
        -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:=
[* 867,
    [ [* 292,
        a
    *], [* 290,
        -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:=
[* 867,
    [ [* 292,
        a^2
    *], [* 290,
        -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:=
[* 867,
    [ [* 292,
        a
    *], [* 290,
        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:=
[* 867,
    [ [* 292,
        a^6
    *], [* 290,
        -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:=
[* 867,
    [ [* 292,
        -a^2
    *], [* 290,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 867,
    [ [* 292,
        -1
    *], [* 290,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 868,
    [ [* 561, 1 *], [* 745, 1 *], [* 435, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        1
    *], [* 745,
        a
    *], [* 435,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        1
    *], [* 745,
        a - 1
    *], [* 435,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 868,
    [ [* 561, 1 *], [* 745, -1 *], [* 435, 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:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        1
    *], [* 435,
        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:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        a^5
    *], [* 435,
        -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:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        a^5 - 1
    *], [* 435,
        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:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        -1
    *], [* 435,
        -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:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        -a^5
    *], [* 435,
        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:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        -a^5 + 1
    *], [* 435,
        -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:=
[* 868,
    [ [* 561,
        a^2
    *], [* 745,
        1
    *], [* 435,
        -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:=
[* 868,
    [ [* 561,
        a^2
    *], [* 745,
        a^5
    *], [* 435,
        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:=
[* 868,
    [ [* 561,
        a^2
    *], [* 745,
        a^5 - 1
    *], [* 435,
        -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:=
[* 868,
    [ [* 561,
        a^2
    *], [* 745,
        -1
    *], [* 435,
        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:=
[* 868,
    [ [* 561,
        a^2
    *], [* 745,
        -a^5
    *], [* 435,
        -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:=
[* 868,
    [ [* 561,
        a^2
    *], [* 745,
        -a^5 + 1
    *], [* 435,
        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:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        1
    *], [* 435,
        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:=
[* 868,
    [ [* 561,
        a^3
    *], [* 745,
        a^5
    *], [* 435,
        -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:=
[* 868,
    [ [* 561,
        a^3
    *], [* 745,
        a^5 - 1
    *], [* 435,
        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:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        -1
    *], [* 435,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        1
    *], [* 435,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        a
    *], [* 435,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        a - 1
    *], [* 435,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        -1
    *], [* 435,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        -a
    *], [* 435,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a
    *], [* 745,
        -a + 1
    *], [* 435,
        -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:=
[* 868,
    [ [* 561,
        a^2
    *], [* 745,
        1
    *], [* 435,
        -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:=
[* 868,
    [ [* 561,
        a^6
    *], [* 745,
        a^5
    *], [* 435,
        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:=
[* 868,
    [ [* 561,
        a^6
    *], [* 745,
        a^5 - 1
    *], [* 435,
        -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:=
[* 868,
    [ [* 561,
        1/11*(5*a^6 - 18*a^4 + 25*a^2 + 4)
    *], [* 745,
        -1
    *], [* 435,
        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:=
[* 868,
    [ [* 561,
        a - 1
    *], [* 745,
        1
    *], [* 435,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a - 1
    *], [* 745,
        a
    *], [* 435,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a - 1
    *], [* 745,
        a - 1
    *], [* 435,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a - 1
    *], [* 745,
        -1
    *], [* 435,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a - 1
    *], [* 745,
        -a
    *], [* 435,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        a - 1
    *], [* 745,
        -a + 1
    *], [* 435,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 868,
    [ [* 561, -1 *], [* 745, 1 *], [* 435, 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:=
[* 868,
    [ [* 561,
        -1
    *], [* 745,
        1/3*(-a^5 - 3*a^3 - a^2 - 9*a)
    *], [* 435,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
9
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 868,
    [ [* 561,
        -1
    *], [* 745,
        a - 1
    *], [* 435,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 868,
    [ [* 561,
        -1
    *], [* 745,
        -1
    *], [* 435,
        -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:=
[* 869,
    [ [* 475,
        a
    *], [* 793,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 869,
    [ [* 475, -1 *], [* 793, 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:=
[* 869,
    [ [* 475,
        1
    *], [* 793,
        a
    *] ]
*]
;
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^94 + x^91 - x^90 + x^89 + x^83 - x^82 + x^80 - x^79 + x^78 - 
    x^77 + x^75 - x^74 - x^68 + x^67 - x^65 + x^64 - x^63 + x^62 - x^60 + x^59 -
    x^57 + x^56 - x^55 + x^53 - 2*x^52 + x^51 - x^49 + x^48 - x^47 + x^45 - 
    2*x^44 + x^43 - x^41 + x^40 - x^39 + x^37 - x^36 + x^34 - x^33 + x^32 - x^31
    + x^29 - x^28 - x^22 + x^21 - x^19 + x^18 - x^17 + x^16 - x^14 + x^13 + x^7 
    - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 869,
    [ [* 475,
        a^78
    *], [* 793,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 - x^95 + x^94 + x^91 - x^90 + x^89 + x^83 - x^82 + x^80 - x^79 + x^78 - 
    x^77 + x^75 - x^74 - x^68 + x^67 - x^65 + x^64 - x^63 + x^62 - x^60 + x^59 -
    x^57 + x^56 - x^55 + x^53 - 2*x^52 + x^51 - x^49 + x^48 - x^47 + x^45 - 
    2*x^44 + x^43 - x^41 + x^40 - x^39 + x^37 - x^36 + x^34 - x^33 + x^32 - x^31
    + x^29 - x^28 - x^22 + x^21 - x^19 + x^18 - x^17 + x^16 - x^14 + x^13 + x^7 
    - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 869,
    [ [* 475,
        a^39
    *], [* 793,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^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:=
[* 869,
    [ [* 475,
        -1
    *], [* 793,
        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^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 869,
    [ [* 475,
        1
    *], [* 793,
        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:=
[* 869,
    [ [* 475,
        a^26
    *], [* 793,
        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^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:=
[* 869,
    [ [* 475,
        a^13
    *], [* 793,
        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^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 869,
    [ [* 475,
        -1
    *], [* 793,
        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:=
[* 869,
    [ [* 475,
        1
    *], [* 793,
        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:=
[* 869,
    [ [* 475,
        a^6
    *], [* 793,
        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:=
[* 869,
    [ [* 475,
        a^3
    *], [* 793,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 869,
    [ [* 475,
        -1
    *], [* 793,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 869,
    [ [* 475, 1 *], [* 793, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - 5*x^19 - 5*x^18 + 55*x^17 + 5*x^16 - 344*x^15 + 215*x^14 + 965*x^13 - 
    865*x^12 - 1765*x^11 + 2736*x^10 - 565*x^9 - 940*x^8 + 1090*x^7 + 40*x^6 - 
    644*x^5 + 6980*x^4 - 5395*x^3 + 5220*x^2 - 1655*x + 1151
);
eps_on_gens:=
[* 869,
    [ [* 475,
        1/15399744936562481526033775*(6601512409877805587878*a^19 - 
            32035753675881795287430*a^18 - 35082886502648184625319*a^17 + 
            347474526644394694776246*a^16 + 55848816745668883478949*a^15 - 
            2130729658447560447923939*a^14 + 1305078564927845310768685*a^13 + 
            5637547233417704733446527*a^12 - 5585838199958858416894048*a^11 - 
            9033582676373927706533032*a^10 + 18815263381201981055797309*a^9 - 
            9795516282795914006026580*a^8 - 9911575202031831566146217*a^7 + 
            17146697519334660154999638*a^6 + 5636423810799528004791612*a^5 - 
            13315022102711563600241548*a^4 + 48436234494483410231917800*a^3 - 
            27167252005758185030971316*a^2 + 39194053890318045342783014*a - 
            2402679831302503212186479)
    *], [* 793,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 870,
    [ [* 31, 1 *], [* 697, 1 *], [* 581, -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:=
[* 870,
    [ [* 31,
        1
    *], [* 697,
        a
    *], [* 581,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 870,
    [ [* 31, 1 *], [* 697, -1 *], [* 581, -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:=
[* 870,
    [ [* 31,
        a
    *], [* 697,
        1
    *], [* 581,
        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:=
[* 870,
    [ [* 31,
        a
    *], [* 697,
        a^7
    *], [* 581,
        -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:=
[* 870,
    [ [* 31,
        a
    *], [* 697,
        -1
    *], [* 581,
        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:=
[* 870,
    [ [* 31,
        a
    *], [* 697,
        -a^7
    *], [* 581,
        -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:=
[* 870,
    [ [* 31,
        a
    *], [* 697,
        1
    *], [* 581,
        -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:=
[* 870,
    [ [* 31,
        a^2
    *], [* 697,
        a^7
    *], [* 581,
        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:=
[* 870,
    [ [* 31,
        a
    *], [* 697,
        -1
    *], [* 581,
        -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:=
[* 870,
    [ [* 31,
        a^2
    *], [* 697,
        1
    *], [* 581,
        -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:=
[* 870,
    [ [* 31,
        a^4
    *], [* 697,
        a^7
    *], [* 581,
        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:=
[* 870,
    [ [* 31,
        a^2
    *], [* 697,
        -1
    *], [* 581,
        -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:=
[* 870,
    [ [* 31,
        a
    *], [* 697,
        1
    *], [* 581,
        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:=
[* 870,
    [ [* 31,
        a
    *], [* 697,
        a
    *], [* 581,
        -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:=
[* 870,
    [ [* 31,
        a
    *], [* 697,
        -1
    *], [* 581,
        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:=
[* 870,
    [ [* 31,
        a
    *], [* 697,
        -a
    *], [* 581,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 870,
    [ [* 31, -1 *], [* 697, 1 *], [* 581, -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:=
[* 870,
    [ [* 31,
        -1
    *], [* 697,
        a
    *], [* 581,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 870,
    [ [* 31, -1 *], [* 697, -1 *], [* 581, -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:=
[* 871,
    [ [* 470,
        a
    *], [* 404,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 871,
    [ [* 470,
        a
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        a^11
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        a^11 - 1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        -1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        -a^11
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        -a^11 + 1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        a^11
    *], [* 404,
        a^4
    *] ]
*]
;
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:=
[* 871,
    [ [* 470,
        a^33
    *], [* 404,
        a^4
    *] ]
*]
;
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:=
[* 871,
    [ [* 470,
        a^33 - a^11
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        a^11
    *], [* 404,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - 
    x^3 + x + 1
);
eps_on_gens:=
[* 871,
    [ [* 470,
        a^11 - 1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        -1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        a^11
    *], [* 404,
        a^12
    *] ]
*]
;
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:=
[* 871,
    [ [* 470,
        a^11
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        a
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        a - 1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        -1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        -a
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        -a + 1
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        a
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        a^3
    *], [* 404,
        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:=
[* 871,
    [ [* 470,
        a^3 - a
    *], [* 404,
        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:=
[* 871,
    [ [* 470, 1 *], [* 404, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 871,
    [ [* 470,
        a
    *], [* 404,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 871,
    [ [* 470,
        a - 1
    *], [* 404,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 871,
    [ [* 470,
        -1
    *], [* 404,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 872,
    [ [* 769, 1 *], [* 437, 1 *], [* 655, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 872,
    [ [* 769, 1 *], [* 437, -1 *], [* 655, -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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        1
    *], [* 655,
        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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        -1
    *], [* 655,
        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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        1
    *], [* 655,
        -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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        -1
    *], [* 655,
        -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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        1
    *], [* 655,
        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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        -1
    *], [* 655,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 872,
    [ [* 769,
        a^2
    *], [* 437,
        1
    *], [* 655,
        -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:=
[* 872,
    [ [* 769,
        a^2
    *], [* 437,
        -1
    *], [* 655,
        -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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        1
    *], [* 655,
        -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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        -1
    *], [* 655,
        -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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        1
    *], [* 655,
        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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        -1
    *], [* 655,
        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:=
[* 872,
    [ [* 769,
        a^2
    *], [* 437,
        1
    *], [* 655,
        -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:=
[* 872,
    [ [* 769,
        a^2
    *], [* 437,
        -1
    *], [* 655,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        1
    *], [* 655,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        -1
    *], [* 655,
        -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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        1
    *], [* 655,
        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:=
[* 872,
    [ [* 769,
        a
    *], [* 437,
        -1
    *], [* 655,
        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:=
[* 872,
    [ [* 769,
        a - 1
    *], [* 437,
        1
    *], [* 655,
        -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:=
[* 872,
    [ [* 769,
        -a^2
    *], [* 437,
        -1
    *], [* 655,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 872,
    [ [* 769, -1 *], [* 437, 1 *], [* 655, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 872,
    [ [* 769,
        -1
    *], [* 437,
        -1
    *], [* 655,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 873,
    [ [* 199,
        1
    *], [* 389,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 873,
    [ [* 199, 1 *], [* 389, -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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -a^8 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        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:=
[* 873,
    [ [* 199,
        a^3
    *], [* 389,
        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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -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:=
[* 873,
    [ [* 199,
        a^3
    *], [* 389,
        a^8
    *] ]
*]
;
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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -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:=
[* 873,
    [ [* 199,
        a^3
    *], [* 389,
        a^4
    *] ]
*]
;
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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -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:=
[* 873,
    [ [* 199,
        a^3
    *], [* 389,
        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:=
[* 873,
    [ [* 199,
        a
    *], [* 389,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 873,
    [ [* 199,
        a - 1
    *], [* 389,
        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:=
[* 873,
    [ [* 199,
        a - 1
    *], [* 389,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 873,
    [ [* 199,
        a - 1
    *], [* 389,
        -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:=
[* 873,
    [ [* 199,
        -1
    *], [* 389,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 873,
    [ [* 199, -1 *], [* 389, -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:=
[* 874,
    [ [* 553,
        a
    *], [* 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:=
[* 874,
    [ [* 553,
        a
    *], [* 419,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 874,
    [ [* 553, -1 *], [* 419, 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:=
[* 874,
    [ [* 553,
        1
    *], [* 419,
        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:=
[* 874,
    [ [* 553,
        a^22
    *], [* 419,
        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:=
[* 874,
    [ [* 553,
        a^11 - 1
    *], [* 419,
        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:=
[* 874,
    [ [* 553,
        a^11
    *], [* 419,
        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:=
[* 874,
    [ [* 553,
        a^11
    *], [* 419,
        a^6
    *] ]
*]
;
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:=
[* 874,
    [ [* 553,
        -1
    *], [* 419,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 874,
    [ [* 553, 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:=
[* 874,
    [ [* 553,
        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:=
[* 874,
    [ [* 553,
        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^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 875,
    [ [* 626,
        1
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        1
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        1
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        a
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        a^25
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        a^25
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        a^5
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        a^5
    *], [* 127,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 875,
    [ [* 626,
        a
    *], [* 127,
        -1
    *] ]
*]
;
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:=
[* 875,
    [ [* 626,
        a^50 - 1
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        a^10 - 1
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        a^2 - 1
    *], [* 127,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 875,
    [ [* 626,
        -1
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        -1
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        -1
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        -1
    *], [* 127,
        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:=
[* 875,
    [ [* 626,
        -1
    *], [* 127,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 875,
    [ [* 626,
        -1
    *], [* 127,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 876,
    [ [* 589, 1 *], [* 293, 1 *], [* 439, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 876,
    [ [* 589, 1 *], [* 293, -1 *], [* 439, 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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        1
    *], [* 439,
        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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        -1
    *], [* 439,
        -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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        1
    *], [* 439,
        -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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        -1
    *], [* 439,
        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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        1
    *], [* 439,
        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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        -1
    *], [* 439,
        -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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        1
    *], [* 439,
        -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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        -1
    *], [* 439,
        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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        1
    *], [* 439,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        -1
    *], [* 439,
        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:=
[* 876,
    [ [* 589,
        a^2
    *], [* 293,
        1
    *], [* 439,
        -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:=
[* 876,
    [ [* 589,
        a^2
    *], [* 293,
        -1
    *], [* 439,
        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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        1
    *], [* 439,
        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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        -1
    *], [* 439,
        -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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        1
    *], [* 439,
        -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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        -1
    *], [* 439,
        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:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        1
    *], [* 439,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 876,
    [ [* 589,
        a
    *], [* 293,
        -1
    *], [* 439,
        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:=
[* 876,
    [ [* 589,
        a - 1
    *], [* 293,
        1
    *], [* 439,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
9
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 876,
    [ [* 589,
        a - 1
    *], [* 293,
        -1
    *], [* 439,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 876,
    [ [* 589, -1 *], [* 293, 1 *], [* 439, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 876,
    [ [* 589,
        -1
    *], [* 293,
        -1
    *], [* 439,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^288 + x^286 - x^282 - x^280 + x^276 + x^274 - x^270 - x^268 + x^264 + x^262 - 
    x^258 - x^256 + x^252 + x^250 - x^246 - x^244 + x^240 + x^238 - x^234 - 
    x^232 + x^228 + x^226 - x^222 - x^220 + x^216 + x^214 - x^210 - x^208 + 
    x^204 + x^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^140 - x^138 + x^134 + x^132 - x^128 - x^126 + 
    x^122 + x^120 - x^116 - x^114 + x^110 + x^108 - x^104 - x^102 + x^98 + x^96 
    - x^92 - x^90 + x^86 + x^84 - x^80 - x^78 + x^74 + x^72 - x^68 - x^66 + x^62
    + x^60 - x^56 - x^54 + x^50 + x^48 - x^44 - x^42 + x^38 + x^36 - x^32 - x^30
    + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 877,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 877,
    [ [* 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:=
[* 877,
    [ [* 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:=
[* 877,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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^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^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:=
[* 878,
    [ [* 15,
        a
    *] ]
*]
;
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^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:=
[* 878,
    [ [* 15,
        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:=
[* 878,
    [ [* 15,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 878,
    [ [* 15, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 879,
    [ [* 295, 1 *], [* 587, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 879,
    [ [* 295,
        a
    *], [* 587,
        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^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:=
[* 879,
    [ [* 295,
        a
    *], [* 587,
        -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^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:=
[* 879,
    [ [* 295,
        a^2
    *], [* 587,
        -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:=
[* 879,
    [ [* 295,
        a
    *], [* 587,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 879,
    [ [* 295,
        -1
    *], [* 587,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 880,
    [ [* 661, 1 *], [* 321, 1 *], [* 111, -1 *], [* 177, 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:=
[* 880,
    [ [* 661,
        a
    *], [* 321,
        1
    *], [* 111,
        -1
    *], [* 177,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 880,
    [ [* 661, -1 *], [* 321, 1 *], [* 111, -1 *], [* 177, 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:=
[* 880,
    [ [* 661,
        1
    *], [* 321,
        1
    *], [* 111,
        1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        a
    *], [* 321,
        1
    *], [* 111,
        1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        -1
    *], [* 321,
        1
    *], [* 111,
        1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        -a
    *], [* 321,
        1
    *], [* 111,
        1
    *], [* 177,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 880,
    [ [* 661, 1 *], [* 321, 1 *], [* 111, -1 *], [* 177, -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:=
[* 880,
    [ [* 661,
        a
    *], [* 321,
        1
    *], [* 111,
        -1
    *], [* 177,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 880,
    [ [* 661, -1 *], [* 321, 1 *], [* 111, -1 *], [* 177, -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:=
[* 880,
    [ [* 661,
        1
    *], [* 321,
        a
    *], [* 111,
        1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        a^5
    *], [* 321,
        a^2
    *], [* 111,
        1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        -1
    *], [* 321,
        a
    *], [* 111,
        1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        1
    *], [* 321,
        a^2
    *], [* 111,
        -1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        a^5
    *], [* 321,
        a^2
    *], [* 111,
        -1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        -1
    *], [* 321,
        a^2
    *], [* 111,
        -1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        -a^5
    *], [* 321,
        a^2
    *], [* 111,
        -1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        1
    *], [* 321,
        a
    *], [* 111,
        1
    *], [* 177,
        -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:=
[* 880,
    [ [* 661,
        a^5
    *], [* 321,
        a^2
    *], [* 111,
        1
    *], [* 177,
        -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:=
[* 880,
    [ [* 661,
        -1
    *], [* 321,
        a
    *], [* 111,
        1
    *], [* 177,
        -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:=
[* 880,
    [ [* 661,
        1
    *], [* 321,
        a^2
    *], [* 111,
        -1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        a^5
    *], [* 321,
        a^4
    *], [* 111,
        -1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        -1
    *], [* 321,
        a^2
    *], [* 111,
        -1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        1
    *], [* 321,
        a^4
    *], [* 111,
        1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        a^5
    *], [* 321,
        a^4
    *], [* 111,
        1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        -1
    *], [* 321,
        a^4
    *], [* 111,
        1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        -a^5
    *], [* 321,
        a^4
    *], [* 111,
        1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        1
    *], [* 321,
        a^2
    *], [* 111,
        -1
    *], [* 177,
        -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:=
[* 880,
    [ [* 661,
        a^5
    *], [* 321,
        a^4
    *], [* 111,
        -1
    *], [* 177,
        -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:=
[* 880,
    [ [* 661,
        -1
    *], [* 321,
        a^2
    *], [* 111,
        -1
    *], [* 177,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 880,
    [ [* 661, 1 *], [* 321, -1 *], [* 111, 1 *], [* 177, 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:=
[* 880,
    [ [* 661,
        a
    *], [* 321,
        -1
    *], [* 111,
        1
    *], [* 177,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 880,
    [ [* 661, -1 *], [* 321, -1 *], [* 111, 1 *], [* 177, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 2*x^3 + 2*x^2 - 2*x + 1
);
eps_on_gens:=
[* 880,
    [ [* 661,
        1
    *], [* 321,
        -1
    *], [* 111,
        -1
    *], [* 177,
        1/2*(a^3 + 3*a^2 + 3*a - 1)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 880,
    [ [* 661,
        a
    *], [* 321,
        -1
    *], [* 111,
        -1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        -1
    *], [* 321,
        -1
    *], [* 111,
        -1
    *], [* 177,
        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:=
[* 880,
    [ [* 661,
        -a
    *], [* 321,
        -1
    *], [* 111,
        -1
    *], [* 177,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
11
;
C:=Rationals();
eps_on_gens:=
[* 880,
    [ [* 661,
        1
    *], [* 321,
        -1
    *], [* 111,
        1
    *], [* 177,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 4*x^6 + 18*x^4 + 4*x^2 + 49
);
eps_on_gens:=
[* 880,
    [ [* 661,
        1/56*(a^7 - 3*a^5 + 17*a^3 + 33*a)
    *], [* 321,
        -1
    *], [* 111,
        1
    *], [* 177,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 880,
    [ [* 661, -1 *], [* 321, -1 *], [* 111, 1 *], [* 177, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^320 + x^312 - x^280 - x^272 + x^240 - x^224 - x^200 + x^184 + x^160 + x^136 - 
    x^120 - x^96 + x^80 - x^48 - x^40 + x^8 + 1
);
eps_on_gens:=
[* 881,
    [ [* 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^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 881,
    [ [* 3,
        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:=
[* 881,
    [ [* 3,
        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:=
[* 881,
    [ [* 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:=
[* 882,
    [ [* 199,
        1
    *], [* 785,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 882,
    [ [* 199, 1 *], [* 785, -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:=
[* 882,
    [ [* 199,
        a
    *], [* 785,
        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:=
[* 882,
    [ [* 199,
        a
    *], [* 785,
        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:=
[* 882,
    [ [* 199,
        a
    *], [* 785,
        -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:=
[* 882,
    [ [* 199,
        a^2
    *], [* 785,
        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:=
[* 882,
    [ [* 199,
        a^2
    *], [* 785,
        -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:=
[* 882,
    [ [* 199,
        a^2
    *], [* 785,
        -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:=
[* 882,
    [ [* 199,
        a
    *], [* 785,
        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:=
[* 882,
    [ [* 199,
        a^3
    *], [* 785,
        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:=
[* 882,
    [ [* 199,
        a^6
    *], [* 785,
        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:=
[* 882,
    [ [* 199,
        a^2
    *], [* 785,
        -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:=
[* 882,
    [ [* 199,
        a
    *], [* 785,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 882,
    [ [* 199,
        a
    *], [* 785,
        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:=
[* 882,
    [ [* 199,
        a
    *], [* 785,
        -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:=
[* 882,
    [ [* 199,
        a - 1
    *], [* 785,
        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:=
[* 882,
    [ [* 199,
        a - 1
    *], [* 785,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 882,
    [ [* 199,
        a - 1
    *], [* 785,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 882,
    [ [* 199, -1 *], [* 785, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 882,
    [ [* 199,
        -1
    *], [* 785,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^252 + x^231 - x^189 - x^168 + x^126 - x^84 - x^63 + x^21 + 1
);
eps_on_gens:=
[* 883,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^84 + x^77 - x^63 - x^56 + x^42 - x^28 - x^21 + x^7 + 1
);
eps_on_gens:=
[* 883,
    [ [* 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^33 - x^27 - x^24 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 883,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1
);
eps_on_gens:=
[* 883,
    [ [* 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^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 883,
    [ [* 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:=
[* 883,
    [ [* 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:=
[* 883,
    [ [* 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:=
[* 883,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 883,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 884,
    [ [* 613, 1 *], [* 105, 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:=
[* 884,
    [ [* 613,
        a
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        a
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        a
    *], [* 105,
        1
    *], [* 443,
        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:=
[* 884,
    [ [* 613,
        a - 1
    *], [* 105,
        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:=
[* 884,
    [ [* 613, -1 *], [* 105, 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:=
[* 884,
    [ [* 613,
        1
    *], [* 105,
        a
    *], [* 443,
        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:=
[* 884,
    [ [* 613,
        a^4
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        a^8
    *], [* 105,
        a^3
    *], [* 443,
        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:=
[* 884,
    [ [* 613,
        a^4
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        a^8 - 1
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        -1
    *], [* 105,
        a
    *], [* 443,
        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:=
[* 884,
    [ [* 613,
        -a^4
    *], [* 105,
        a^3
    *], [* 443,
        -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:=
[* 884,
    [ [* 613,
        -a^4
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        1
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        a^2
    *], [* 105,
        a^3
    *], [* 443,
        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:=
[* 884,
    [ [* 613,
        a^4
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        a^2
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        a^4 - 1
    *], [* 105,
        a^3
    *], [* 443,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 884,
    [ [* 613,
        -1
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        -a^2
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        -a^2
    *], [* 105,
        a
    *], [* 443,
        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:=
[* 884,
    [ [* 613,
        1
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        a
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        a^2
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        a
    *], [* 105,
        a
    *], [* 443,
        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:=
[* 884,
    [ [* 613,
        a^2 - 1
    *], [* 105,
        a^3
    *], [* 443,
        -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:=
[* 884,
    [ [* 613,
        -1
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        -a
    *], [* 105,
        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:=
[* 884,
    [ [* 613,
        -a
    *], [* 105,
        a
    *], [* 443,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 884,
    [ [* 613, 1 *], [* 105, -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:=
[* 884,
    [ [* 613,
        a
    *], [* 105,
        -1
    *], [* 443,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 4*x^6 + 15*x^4 + 4*x^2 + 1
);
eps_on_gens:=
[* 884,
    [ [* 613,
        1/15*(-4*a^6 - 15*a^4 - 60*a^2 - 1)
    *], [* 105,
        -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:=
[* 884,
    [ [* 613,
        a
    *], [* 105,
        -1
    *], [* 443,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 884,
    [ [* 613,
        a - 1
    *], [* 105,
        -1
    *], [* 443,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 884,
    [ [* 613,
        -1
    *], [* 105,
        -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:=
[* 885,
    [ [* 61, 1 *], [* 532, 1 *], [* 296, -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:=
[* 885,
    [ [* 61,
        1
    *], [* 532,
        a
    *], [* 296,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 885,
    [ [* 61, 1 *], [* 532, -1 *], [* 296, -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:=
[* 885,
    [ [* 61,
        a
    *], [* 532,
        1
    *], [* 296,
        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:=
[* 885,
    [ [* 61,
        a^2
    *], [* 532,
        a^29
    *], [* 296,
        -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:=
[* 885,
    [ [* 61,
        a
    *], [* 532,
        -1
    *], [* 296,
        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:=
[* 885,
    [ [* 61,
        a^2
    *], [* 532,
        1
    *], [* 296,
        -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:=
[* 885,
    [ [* 61,
        a^4
    *], [* 532,
        a^29
    *], [* 296,
        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:=
[* 885,
    [ [* 61,
        a^2
    *], [* 532,
        -1
    *], [* 296,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 885,
    [ [* 61, -1 *], [* 532, 1 *], [* 296, 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:=
[* 885,
    [ [* 61,
        -1
    *], [* 532,
        1/8*a^3
    *], [* 296,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 885,
    [ [* 61, -1 *], [* 532, -1 *], [* 296, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^192 + x^191 - x^179 - x^178 - x^175 - x^174 + x^166 + x^165 + x^162 + x^161 + 
    x^158 + x^157 - x^153 - x^152 - x^149 - x^148 - x^145 - x^144 - x^141 + 
    x^139 + x^136 + x^135 + x^132 + x^131 + x^128 - x^126 + x^124 - x^122 - 
    x^119 - x^118 - x^115 + x^113 - x^111 + x^109 - x^107 + x^105 + x^102 - 
    x^100 + x^98 - x^96 + x^94 - x^92 + x^90 + x^87 - x^85 + x^83 - x^81 + x^79 
    - x^77 - x^74 - x^73 - x^70 + x^68 - x^66 + x^64 + x^61 + x^60 + x^57 + x^56
    + x^53 - x^51 - x^48 - x^47 - x^44 - x^43 - x^40 - x^39 + x^35 + x^34 + x^31
    + x^30 + x^27 + x^26 - x^18 - x^17 - x^14 - x^13 + x + 1
);
eps_on_gens:=
[* 886,
    [ [* 445,
        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:=
[* 886,
    [ [* 445,
        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:=
[* 886,
    [ [* 445,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 886,
    [ [* 445, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^442 - x^441 + x^440 - x^439 + x^438 - x^437 + x^436 - x^435 + x^434 - x^433 + 
    x^432 - x^431 + x^430 - x^429 + x^428 - x^427 + x^426 - x^425 + x^424 - 
    x^423 + x^422 - x^421 + x^420 - x^419 + x^418 - x^417 + x^416 - x^415 + 
    x^414 - x^413 + x^412 - x^411 + x^410 - x^409 + x^408 - x^407 + x^406 - 
    x^405 + x^404 - x^403 + x^402 - x^401 + x^400 - x^399 + x^398 - x^397 + 
    x^396 - x^395 + x^394 - x^393 + x^392 - x^391 + x^390 - x^389 + x^388 - 
    x^387 + x^386 - x^385 + x^384 - x^383 + x^382 - x^381 + x^380 - x^379 + 
    x^378 - x^377 + x^376 - x^375 + x^374 - x^373 + x^372 - x^371 + x^370 - 
    x^369 + x^368 - x^367 + x^366 - x^365 + x^364 - x^363 + x^362 - x^361 + 
    x^360 - x^359 + x^358 - x^357 + x^356 - x^355 + x^354 - x^353 + x^352 - 
    x^351 + x^350 - x^349 + x^348 - x^347 + x^346 - x^345 + x^344 - x^343 + 
    x^342 - x^341 + x^340 - x^339 + x^338 - x^337 + x^336 - x^335 + x^334 - 
    x^333 + x^332 - x^331 + x^330 - x^329 + x^328 - x^327 + x^326 - x^325 + 
    x^324 - x^323 + x^322 - x^321 + x^320 - x^319 + x^318 - x^317 + x^316 - 
    x^315 + x^314 - x^313 + x^312 - x^311 + x^310 - x^309 + x^308 - x^307 + 
    x^306 - x^305 + x^304 - x^303 + x^302 - x^301 + x^300 - x^299 + x^298 - 
    x^297 + x^296 - x^295 + x^294 - x^293 + x^292 - x^291 + x^290 - x^289 + 
    x^288 - x^287 + x^286 - x^285 + x^284 - x^283 + x^282 - x^281 + x^280 - 
    x^279 + x^278 - x^277 + x^276 - x^275 + x^274 - x^273 + x^272 - x^271 + 
    x^270 - x^269 + x^268 - x^267 + x^266 - x^265 + x^264 - x^263 + x^262 - 
    x^261 + x^260 - x^259 + x^258 - x^257 + x^256 - x^255 + x^254 - x^253 + 
    x^252 - x^251 + x^250 - x^249 + x^248 - x^247 + x^246 - x^245 + x^244 - 
    x^243 + x^242 - x^241 + x^240 - x^239 + x^238 - x^237 + x^236 - x^235 + 
    x^234 - x^233 + x^232 - x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - 
    x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - x^219 + x^218 - x^217 + 
    x^216 - x^215 + x^214 - x^213 + x^212 - x^211 + x^210 - x^209 + x^208 - 
    x^207 + x^206 - x^205 + x^204 - x^203 + x^202 - x^201 + x^200 - x^199 + 
    x^198 - x^197 + x^196 - x^195 + x^194 - x^193 + x^192 - x^191 + x^190 - 
    x^189 + x^188 - x^187 + x^186 - x^185 + x^184 - x^183 + x^182 - x^181 + 
    x^180 - x^179 + x^178 - x^177 + x^176 - x^175 + x^174 - x^173 + x^172 - 
    x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + 
    x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + x^156 - x^155 + x^154 - 
    x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + 
    x^144 - x^143 + x^142 - x^141 + x^140 - x^139 + x^138 - x^137 + x^136 - 
    x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + 
    x^126 - x^125 + x^124 - x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - 
    x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + 
    x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99
    + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88
    - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77
    + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66
    - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55
    + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44
    - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33
    + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22
    - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11
    + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 887,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
14
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 887,
    [ [* 5,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 888,
    [ [* 409, 1 *], [* 223, -1 *], [* 593, 1 *], [* 445, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 888,
    [ [* 409, 1 *], [* 223, -1 *], [* 593, 1 *], [* 445, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 888,
    [ [* 409, 1 *], [* 223, 1 *], [* 593, -1 *], [* 445, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 888,
    [ [* 409, 1 *], [* 223, 1 *], [* 593, -1 *], [* 445, -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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        1
    *], [* 593,
        1
    *], [* 445,
        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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        1
    *], [* 593,
        1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        -1
    *], [* 593,
        -1
    *], [* 445,
        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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        -1
    *], [* 593,
        -1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        -1
    *], [* 593,
        1
    *], [* 445,
        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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        -1
    *], [* 593,
        1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        1
    *], [* 593,
        -1
    *], [* 445,
        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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        1
    *], [* 593,
        -1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        1
    *], [* 593,
        1
    *], [* 445,
        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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        1
    *], [* 593,
        1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        -1
    *], [* 593,
        -1
    *], [* 445,
        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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        -1
    *], [* 593,
        -1
    *], [* 445,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 888,
    [ [* 409,
        a^2
    *], [* 223,
        -1
    *], [* 593,
        1
    *], [* 445,
        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:=
[* 888,
    [ [* 409,
        a^2
    *], [* 223,
        -1
    *], [* 593,
        1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a^2
    *], [* 223,
        1
    *], [* 593,
        -1
    *], [* 445,
        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:=
[* 888,
    [ [* 409,
        a^2
    *], [* 223,
        1
    *], [* 593,
        -1
    *], [* 445,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        -1
    *], [* 593,
        1
    *], [* 445,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        -1
    *], [* 593,
        1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        1
    *], [* 593,
        -1
    *], [* 445,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        1
    *], [* 593,
        -1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        1
    *], [* 593,
        1
    *], [* 445,
        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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        1
    *], [* 593,
        1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        -1
    *], [* 593,
        -1
    *], [* 445,
        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:=
[* 888,
    [ [* 409,
        a
    *], [* 223,
        -1
    *], [* 593,
        -1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a - 1
    *], [* 223,
        -1
    *], [* 593,
        1
    *], [* 445,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 888,
    [ [* 409,
        a - 1
    *], [* 223,
        -1
    *], [* 593,
        1
    *], [* 445,
        -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:=
[* 888,
    [ [* 409,
        a - 1
    *], [* 223,
        1
    *], [* 593,
        -1
    *], [* 445,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 888,
    [ [* 409,
        a - 1
    *], [* 223,
        1
    *], [* 593,
        -1
    *], [* 445,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 888,
    [ [* 409, -1 *], [* 223, -1 *], [* 593, 1 *], [* 445, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 888,
    [ [* 409, -1 *], [* 223, -1 *], [* 593, 1 *], [* 445, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 888,
    [ [* 409, -1 *], [* 223, 1 *], [* 593, -1 *], [* 445, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 888,
    [ [* 409,
        -1
    *], [* 223,
        1
    *], [* 593,
        -1
    *], [* 445,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 889,
    [ [* 638,
        1
    *], [* 255,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 889,
    [ [* 638, 1 *], [* 255, -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:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        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:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        a^21 - 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:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        -a^21
    *] ]
*]
;
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:=
[* 889,
    [ [* 638,
        a^2
    *], [* 255,
        a^21
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 889,
    [ [* 638,
        a^2
    *], [* 255,
        -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:=
[* 889,
    [ [* 638,
        a^2
    *], [* 255,
        -a^21 + 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:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        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:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        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:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        -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:=
[* 889,
    [ [* 638,
        a^2
    *], [* 255,
        a^7
    *] ]
*]
;
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^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 889,
    [ [* 638,
        a^2
    *], [* 255,
        -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:=
[* 889,
    [ [* 638,
        a^2
    *], [* 255,
        -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^3 + 1
);
eps_on_gens:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        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:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        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:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        -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:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        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:=
[* 889,
    [ [* 638,
        a^3
    *], [* 255,
        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^3 + 1
);
eps_on_gens:=
[* 889,
    [ [* 638,
        a^2
    *], [* 255,
        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:=
[* 889,
    [ [* 638,
        a^2
    *], [* 255,
        -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:=
[* 889,
    [ [* 638,
        a^2
    *], [* 255,
        -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^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 889,
    [ [* 638,
        a^6
    *], [* 255,
        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:=
[* 889,
    [ [* 638,
        a^2
    *], [* 255,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        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:=
[* 889,
    [ [* 638,
        a
    *], [* 255,
        -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:=
[* 889,
    [ [* 638,
        a - 1
    *], [* 255,
        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:=
[* 889,
    [ [* 638,
        a - 1
    *], [* 255,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 889,
    [ [* 638,
        a - 1
    *], [* 255,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 889,
    [ [* 638, -1 *], [* 255, 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:=
[* 889,
    [ [* 638,
        -1
    *], [* 255,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 890,
    [ [* 181,
        1
    *], [* 357,
        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:=
[* 890,
    [ [* 181,
        a
    *], [* 357,
        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:=
[* 890,
    [ [* 181,
        a
    *], [* 357,
        -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:=
[* 890,
    [ [* 181,
        a
    *], [* 357,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 890,
    [ [* 181,
        a
    *], [* 357,
        -a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 890,
    [ [* 181,
        a^2
    *], [* 357,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 890,
    [ [* 181,
        a^4
    *], [* 357,
        a^11
    *] ]
*]
;
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:=
[* 890,
    [ [* 181,
        a
    *], [* 357,
        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:=
[* 890,
    [ [* 181,
        a
    *], [* 357,
        -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:=
[* 890,
    [ [* 181,
        a
    *], [* 357,
        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:=
[* 890,
    [ [* 181,
        a
    *], [* 357,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 890,
    [ [* 181,
        -1
    *], [* 357,
        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:=
[* 891,
    [ [* 650,
        a
    *], [* 244,
        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:=
[* 891,
    [ [* 650,
        a
    *], [* 244,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 891,
    [ [* 650,
        a
    *], [* 244,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 891,
    [ [* 650, -1 *], [* 244, 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:=
[* 891,
    [ [* 650,
        1
    *], [* 244,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^63 - x^45 - x^36 - x^27 + x^9 + 1
);
eps_on_gens:=
[* 891,
    [ [* 650,
        a^10
    *], [* 244,
        a^27
    *] ]
*]
;
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:=
[* 891,
    [ [* 650,
        a^10
    *], [* 244,
        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:=
[* 891,
    [ [* 650,
        a^5 - 1
    *], [* 244,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^63 - x^45 - x^36 - x^27 + x^9 + 1
);
eps_on_gens:=
[* 891,
    [ [* 650,
        a^5
    *], [* 244,
        a^54
    *] ]
*]
;
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:=
[* 891,
    [ [* 650,
        a^5
    *], [* 244,
        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:=
[* 891,
    [ [* 650,
        a^5
    *], [* 244,
        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:=
[* 891,
    [ [* 650,
        -1
    *], [* 244,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 891,
    [ [* 650, 1 *], [* 244, -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:=
[* 891,
    [ [* 650,
        a^2
    *], [* 244,
        -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:=
[* 891,
    [ [* 650,
        a^2
    *], [* 244,
        -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:=
[* 891,
    [ [* 650,
        a - 1
    *], [* 244,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 892,
    [ [* 449, 1 *], [* 447, -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:=
[* 892,
    [ [* 449,
        a
    *], [* 447,
        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:=
[* 892,
    [ [* 449,
        a^2
    *], [* 447,
        -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:=
[* 892,
    [ [* 449,
        a
    *], [* 447,
        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:=
[* 892,
    [ [* 449,
        a^2
    *], [* 447,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 892,
    [ [* 449,
        a
    *], [* 447,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 892,
    [ [* 449,
        a - 1
    *], [* 447,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 892,
    [ [* 449, -1 *], [* 447, 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:=
[* 893,
    [ [* 800,
        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:=
[* 893,
    [ [* 800,
        a
    *], [* 381,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 893,
    [ [* 800, -1 *], [* 381, 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:=
[* 893,
    [ [* 800,
        1
    *], [* 381,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^132 + x^129 - x^123 - x^120 + x^114 + x^111 - x^105 - x^102 + x^96 + x^93 - 
    x^87 - x^84 + x^78 + x^75 - x^69 - x^66 - x^63 + x^57 + x^54 - x^48 - x^45 +
    x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 893,
    [ [* 800,
        a^46
    *], [* 381,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - 
    x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 +
    x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 893,
    [ [* 800,
        a^23 - 1
    *], [* 381,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^132 + x^129 - x^123 - x^120 + x^114 + x^111 - x^105 - x^102 + x^96 + x^93 - 
    x^87 - x^84 + x^78 + x^75 - x^69 - x^66 - x^63 + x^57 + x^54 - x^48 - x^45 +
    x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 893,
    [ [* 800,
        a^23
    *], [* 381,
        a^18
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - 
    x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 +
    x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 893,
    [ [* 800,
        a^23
    *], [* 381,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - 
    x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 893,
    [ [* 800,
        -1
    *], [* 381,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 893,
    [ [* 800, 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:=
[* 893,
    [ [* 800,
        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:=
[* 893,
    [ [* 800,
        a - 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:=
[* 894,
    [ [* 151, 1 *], [* 299, -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:=
[* 894,
    [ [* 151,
        a
    *], [* 299,
        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:=
[* 894,
    [ [* 151,
        a
    *], [* 299,
        -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:=
[* 894,
    [ [* 151,
        a^2
    *], [* 299,
        -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:=
[* 894,
    [ [* 151,
        a
    *], [* 299,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 894,
    [ [* 151, -1 *], [* 299, -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:=
[* 895,
    [ [* 717,
        a
    *], [* 181,
        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:=
[* 895,
    [ [* 717,
        1
    *], [* 181,
        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^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:=
[* 895,
    [ [* 717,
        -1
    *], [* 181,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 895,
    [ [* 717,
        a^89
    *], [* 181,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 895,
    [ [* 717, 1 *], [* 181, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 895,
    [ [* 717,
        -1
    *], [* 181,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 896,
    [ [* 129, 1 *], [* 645, 1 *], [* 127, -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:=
[* 896,
    [ [* 129,
        1
    *], [* 645,
        a
    *], [* 127,
        -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:=
[* 896,
    [ [* 129,
        1
    *], [* 645,
        a
    *], [* 127,
        -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:=
[* 896,
    [ [* 129,
        1
    *], [* 645,
        a
    *], [* 127,
        -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:=
[* 896,
    [ [* 129,
        1
    *], [* 645,
        a
    *], [* 127,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 896,
    [ [* 129, 1 *], [* 645, -1 *], [* 127, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 896,
    [ [* 129,
        a
    *], [* 645,
        1
    *], [* 127,
        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:=
[* 896,
    [ [* 129,
        a^16
    *], [* 645,
        a^3
    *], [* 127,
        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:=
[* 896,
    [ [* 129,
        a^8
    *], [* 645,
        a^3
    *], [* 127,
        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:=
[* 896,
    [ [* 129,
        a^4
    *], [* 645,
        a^3
    *], [* 127,
        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:=
[* 896,
    [ [* 129,
        a^2
    *], [* 645,
        a^3
    *], [* 127,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 896,
    [ [* 129,
        a
    *], [* 645,
        -1
    *], [* 127,
        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:=
[* 896,
    [ [* 129,
        a - 1
    *], [* 645,
        1
    *], [* 127,
        -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:=
[* 896,
    [ [* 129,
        a^16 - 1
    *], [* 645,
        a^3
    *], [* 127,
        -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:=
[* 896,
    [ [* 129,
        a^8 - 1
    *], [* 645,
        a^3
    *], [* 127,
        -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:=
[* 896,
    [ [* 129,
        a^4 - 1
    *], [* 645,
        a^3
    *], [* 127,
        -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:=
[* 896,
    [ [* 129,
        a^2 - 1
    *], [* 645,
        a^3
    *], [* 127,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 896,
    [ [* 129,
        a - 1
    *], [* 645,
        -1
    *], [* 127,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 896,
    [ [* 129, -1 *], [* 645, 1 *], [* 127, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 896,
    [ [* 129,
        -1
    *], [* 645,
        a
    *], [* 127,
        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:=
[* 896,
    [ [* 129,
        -1
    *], [* 645,
        a
    *], [* 127,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 896,
    [ [* 129,
        -1
    *], [* 645,
        a
    *], [* 127,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 896,
    [ [* 129,
        -1
    *], [* 645,
        a
    *], [* 127,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 896,
    [ [* 129,
        -1
    *], [* 645,
        -1
    *], [* 127,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 897,
    [ [* 691, 1 *], [* 235, 1 *], [* 599, -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:=
[* 897,
    [ [* 691,
        a
    *], [* 235,
        1
    *], [* 599,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 897,
    [ [* 691,
        a
    *], [* 235,
        1
    *], [* 599,
        -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:=
[* 897,
    [ [* 691,
        a
    *], [* 235,
        1
    *], [* 599,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 897,
    [ [* 691,
        a - 1
    *], [* 235,
        1
    *], [* 599,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 897,
    [ [* 691, -1 *], [* 235, 1 *], [* 599, -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:=
[* 897,
    [ [* 691,
        1
    *], [* 235,
        a
    *], [* 599,
        1
    *] ]
*]
;
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:=
[* 897,
    [ [* 691,
        a^11
    *], [* 235,
        a^6
    *], [* 599,
        -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:=
[* 897,
    [ [* 691,
        a^11
    *], [* 235,
        a^3
    *], [* 599,
        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:=
[* 897,
    [ [* 691,
        a^11
    *], [* 235,
        a^2
    *], [* 599,
        -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:=
[* 897,
    [ [* 691,
        a^11 - 1
    *], [* 235,
        a^3
    *], [* 599,
        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:=
[* 897,
    [ [* 691,
        -1
    *], [* 235,
        a
    *], [* 599,
        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:=
[* 897,
    [ [* 691,
        1
    *], [* 235,
        a^2
    *], [* 599,
        -1
    *] ]
*]
;
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:=
[* 897,
    [ [* 691,
        a^11
    *], [* 235,
        a^12
    *], [* 599,
        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:=
[* 897,
    [ [* 691,
        a^11
    *], [* 235,
        a^6
    *], [* 599,
        -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:=
[* 897,
    [ [* 691,
        a^11
    *], [* 235,
        a^4
    *], [* 599,
        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:=
[* 897,
    [ [* 691,
        a^11 - 1
    *], [* 235,
        a^6
    *], [* 599,
        -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:=
[* 897,
    [ [* 691,
        -1
    *], [* 235,
        a^2
    *], [* 599,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 897,
    [ [* 691, 1 *], [* 235, -1 *], [* 599, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - 6*x^10 + 27*x^8 - 52*x^6 + 75*x^4 - 9*x^2 + 1
);
eps_on_gens:=
[* 897,
    [ [* 691,
        1/219*(77*a^11 - 456*a^9 + 2052*a^7 - 3919*a^5 + 5700*a^3 - 684*a)
    *], [* 235,
        -1
    *], [* 599,
        -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:=
[* 897,
    [ [* 691,
        a
    *], [* 235,
        -1
    *], [* 599,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 897,
    [ [* 691,
        a
    *], [* 235,
        -1
    *], [* 599,
        -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:=
[* 897,
    [ [* 691,
        a - 1
    *], [* 235,
        -1
    *], [* 599,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 897,
    [ [* 691, -1 *], [* 235, -1 *], [* 599, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^192 - x^160 + x^128 - x^96 + x^64 - x^32 + 1
);
eps_on_gens:=
[* 898,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + 1
);
eps_on_gens:=
[* 898,
    [ [* 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^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 899,
    [ [* 466,
        a
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        a
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        1
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        a^15
    *], [* 871,
        a^7
    *] ]
*]
;
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:=
[* 899,
    [ [* 466,
        a^30
    *], [* 871,
        a^7
    *] ]
*]
;
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:=
[* 899,
    [ [* 466,
        -1
    *], [* 871,
        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^92 + x^86 - x^84 + 2*x^82 - x^80 + x^78 + x^72 - x^70 + x^68 - x^66 + 
    x^64 - x^62 - x^56 - x^52 - x^48 - x^44 - x^40 - x^34 + x^32 - x^30 + x^28 - x^26 + 
    x^24 + x^18 - x^16 + 2*x^14 - x^12 + x^10 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 899,
    [ [* 466,
        a^15
    *], [* 871,
        a^28
    *] ]
*]
;
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:=
[* 899,
    [ [* 466,
        a^15
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        1
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        a^5
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        a^10
    *], [* 871,
        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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 899,
    [ [* 466,
        -1
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        1
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        a^3
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        a^6
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        -1
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        a^5
    *], [* 871,
        a^28
    *] ]
*]
;
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:=
[* 899,
    [ [* 466,
        a^5
    *], [* 871,
        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:=
[* 899,
    [ [* 466,
        a^3
    *], [* 871,
        a^14 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 899,
    [ [* 466,
        a^3
    *], [* 871,
        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:=
[* 899,
    [ [* 466, 1 *], [* 871, -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:=
[* 899,
    [ [* 466,
        a
    *], [* 871,
        -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:=
[* 899,
    [ [* 466,
        a^2
    *], [* 871,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 899,
    [ [* 466,
        -1
    *], [* 871,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 900,
    [ [* 101, 1 *], [* 577, 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:=
[* 900,
    [ [* 101,
        a
    *], [* 577,
        1
    *], [* 451,
        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:=
[* 900,
    [ [* 101,
        a^2 - 1
    *], [* 577,
        1
    *], [* 451,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 900,
    [ [* 101, -1 *], [* 577, 1 *], [* 451, 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:=
[* 900,
    [ [* 101,
        1
    *], [* 577,
        a
    *], [* 451,
        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:=
[* 900,
    [ [* 101,
        a^10
    *], [* 577,
        a^3
    *], [* 451,
        -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:=
[* 900,
    [ [* 101,
        a^10 - 1
    *], [* 577,
        a^3
    *], [* 451,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
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:=
[* 900,
    [ [* 101,
        -1
    *], [* 577,
        1/310575*(-12182*a^14 - 47244*a^12 - 143344*a^10 - 383120*a^8 - 
            1808275*a^6 + 547954*a^4 - 1553572*a^2 + 171218)
    *], [* 451,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 10*x^4 + 25*x^2 + 25
);
eps_on_gens:=
[* 900,
    [ [* 101,
        1
    *], [* 577,
        1/55*(-5*a^6 + 4*a^4 - 40*a^2 - 60)
    *], [* 451,
        -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:=
[* 900,
    [ [* 101,
        a^5
    *], [* 577,
        a^3
    *], [* 451,
        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:=
[* 900,
    [ [* 101,
        a^5 - 1
    *], [* 577,
        a^3
    *], [* 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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 900,
    [ [* 101,
        -1
    *], [* 577,
        a
    *], [* 451,
        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:=
[* 900,
    [ [* 101,
        1
    *], [* 577,
        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^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 900,
    [ [* 101,
        a^5
    *], [* 577,
        a^6
    *], [* 451,
        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:=
[* 900,
    [ [* 101,
        a^5 - 1
    *], [* 577,
        a^6
    *], [* 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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 900,
    [ [* 101,
        -1
    *], [* 577,
        a^2
    *], [* 451,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 + 9
);
eps_on_gens:=
[* 900,
    [ [* 101,
        1
    *], [* 577,
        -1/3*a^2
    *], [* 451,
        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:=
[* 900,
    [ [* 101,
        a^4
    *], [* 577,
        a^6
    *], [* 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:=
[* 900,
    [ [* 101,
        a^2 - 1
    *], [* 577,
        a^3
    *], [* 451,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
8
;
C<a>:=NumberField(
x^4 - 2*x^2 + 9
);
eps_on_gens:=
[* 900,
    [ [* 101,
        -1
    *], [* 577,
        1/6*(a^3 + a)
    *], [* 451,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 900,
    [ [* 101, 1 *], [* 577, -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:=
[* 900,
    [ [* 101,
        a
    *], [* 577,
        -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:=
[* 900,
    [ [* 101,
        a - 1
    *], [* 577,
        -1
    *], [* 451,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 900,
    [ [* 101, -1 *], [* 577, -1 *], [* 451, 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:=
[* 901,
    [ [* 54,
        a
    *], [* 426,
        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:=
[* 901,
    [ [* 54,
        1
    *], [* 426,
        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:=
[* 901,
    [ [* 54,
        a^13
    *], [* 426,
        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^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 
    1
);
eps_on_gens:=
[* 901,
    [ [* 54,
        a^13
    *], [* 426,
        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:=
[* 901,
    [ [* 54,
        a^39
    *], [* 426,
        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^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 
    1
);
eps_on_gens:=
[* 901,
    [ [* 54,
        -1
    *], [* 426,
        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:=
[* 901,
    [ [* 54,
        -a^13
    *], [* 426,
        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^80 - x^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 - x^8
    + 1
);
eps_on_gens:=
[* 901,
    [ [* 54,
        a^13
    *], [* 426,
        a^8
    *] ]
*]
;
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^80 - x^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 - x^8
    + 1
);
eps_on_gens:=
[* 901,
    [ [* 54,
        a^13
    *], [* 426,
        a^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:=
[* 901,
    [ [* 54,
        1
    *], [* 426,
        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:=
[* 901,
    [ [* 54,
        a
    *], [* 426,
        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:=
[* 901,
    [ [* 54,
        a
    *], [* 426,
        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:=
[* 901,
    [ [* 54,
        a^3
    *], [* 426,
        a^2
    *] ]
*]
;
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:=
[* 901,
    [ [* 54,
        -1
    *], [* 426,
        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:=
[* 901,
    [ [* 54,
        -a
    *], [* 426,
        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:=
[* 901,
    [ [* 54,
        a
    *], [* 426,
        -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:=
[* 902,
    [ [* 375,
        1
    *], [* 739,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 902,
    [ [* 375, 1 *], [* 739, -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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        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^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        a^12 - a^8 + 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^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        -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^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        -a^12
    *] ]
*]
;
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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        -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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        -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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        -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^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        -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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        -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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        -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 + 1
);
eps_on_gens:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        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:=
[* 902,
    [ [* 375,
        a^5
    *], [* 739,
        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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 902,
    [ [* 375,
        a^2
    *], [* 739,
        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:=
[* 902,
    [ [* 375,
        a^2
    *], [* 739,
        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:=
[* 902,
    [ [* 375,
        a^2
    *], [* 739,
        -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:=
[* 902,
    [ [* 375,
        a^2
    *], [* 739,
        -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:=
[* 902,
    [ [* 375,
        a^2
    *], [* 739,
        -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^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 902,
    [ [* 375,
        a^5
    *], [* 739,
        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:=
[* 902,
    [ [* 375,
        a
    *], [* 739,
        -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:=
[* 902,
    [ [* 375,
        -1
    *], [* 739,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 902,
    [ [* 375, -1 *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 903,
    [ [* 820, 1 *], [* 388, 1 *], [* 302, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        1
    *], [* 388,
        a
    *], [* 302,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        1
    *], [* 388,
        a - 1
    *], [* 302,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 903,
    [ [* 820, 1 *], [* 388, -1 *], [* 302, 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:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        1
    *], [* 302,
        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^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        a^7
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        a^7 - 1
    *], [* 302,
        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:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        -1
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        -a^7
    *], [* 302,
        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^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        -a^7 + 1
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a^2
    *], [* 388,
        1
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a^2
    *], [* 388,
        a^7
    *], [* 302,
        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^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a^2
    *], [* 388,
        a^7 - 1
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a^2
    *], [* 388,
        -1
    *], [* 302,
        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^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a^2
    *], [* 388,
        -a^7
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a^2
    *], [* 388,
        -a^7 + 1
    *], [* 302,
        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:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        1
    *], [* 302,
        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:=
[* 903,
    [ [* 820,
        a^3
    *], [* 388,
        a^7
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a^3
    *], [* 388,
        a^7 - 1
    *], [* 302,
        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:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        -1
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a^2
    *], [* 388,
        1
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a^6
    *], [* 388,
        a^7
    *], [* 302,
        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:=
[* 903,
    [ [* 820,
        a^6
    *], [* 388,
        a^7 - 1
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a^2
    *], [* 388,
        -1
    *], [* 302,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        1
    *], [* 302,
        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:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        a
    *], [* 302,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        a - 1
    *], [* 302,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        -1
    *], [* 302,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        -a
    *], [* 302,
        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:=
[* 903,
    [ [* 820,
        a
    *], [* 388,
        -a + 1
    *], [* 302,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a - 1
    *], [* 388,
        1
    *], [* 302,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a - 1
    *], [* 388,
        a
    *], [* 302,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a^2 - 1
    *], [* 388,
        a^2 - 1
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        a - 1
    *], [* 388,
        -1
    *], [* 302,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a^2 - 1
    *], [* 388,
        -a^2
    *], [* 302,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        a - 1
    *], [* 388,
        -a + 1
    *], [* 302,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 903,
    [ [* 820, -1 *], [* 388, 1 *], [* 302, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 903,
    [ [* 820,
        -1
    *], [* 388,
        a
    *], [* 302,
        -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:=
[* 903,
    [ [* 820,
        -1
    *], [* 388,
        a - 1
    *], [* 302,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 903,
    [ [* 820,
        -1
    *], [* 388,
        -1
    *], [* 302,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 904,
    [ [* 681, 1 *], [* 453, 1 *], [* 679, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 904,
    [ [* 681, 1 *], [* 453, -1 *], [* 679, -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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        1
    *], [* 679,
        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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        -1
    *], [* 679,
        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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        1
    *], [* 679,
        -1
    *] ]
*]
;
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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        -1
    *], [* 679,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        1
    *], [* 679,
        -1
    *] ]
*]
;
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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        -1
    *], [* 679,
        -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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        1
    *], [* 679,
        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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        -1
    *], [* 679,
        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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        1
    *], [* 679,
        -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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        -1
    *], [* 679,
        -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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        1
    *], [* 679,
        -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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        -1
    *], [* 679,
        -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:=
[* 904,
    [ [* 681,
        a^2
    *], [* 453,
        1
    *], [* 679,
        -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:=
[* 904,
    [ [* 681,
        a^2
    *], [* 453,
        -1
    *], [* 679,
        -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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        1
    *], [* 679,
        -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:=
[* 904,
    [ [* 681,
        a
    *], [* 453,
        -1
    *], [* 679,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 904,
    [ [* 681, -1 *], [* 453, 1 *], [* 679, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 904,
    [ [* 681,
        -1
    *], [* 453,
        -1
    *], [* 679,
        -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:=
[* 905,
    [ [* 726,
        1
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        -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:=
[* 905,
    [ [* 726,
        a^2
    *], [* 182,
        a^45
    *] ]
*]
;
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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        -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:=
[* 905,
    [ [* 726,
        a^4
    *], [* 182,
        a^45
    *] ]
*]
;
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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        -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:=
[* 905,
    [ [* 726,
        a^2
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        -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:=
[* 905,
    [ [* 726,
        a^2
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a^4
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        -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:=
[* 905,
    [ [* 726,
        a^2
    *], [* 182,
        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^6 + 1
);
eps_on_gens:=
[* 905,
    [ [* 726,
        a^4
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a^2
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a^4
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        a
    *], [* 182,
        -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:=
[* 905,
    [ [* 726,
        a^2 - 1
    *], [* 182,
        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:=
[* 905,
    [ [* 726,
        -1
    *], [* 182,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 906,
    [ [* 157, 1 *], [* 605, -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:=
[* 906,
    [ [* 157,
        a
    *], [* 605,
        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:=
[* 906,
    [ [* 157,
        a^2
    *], [* 605,
        -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:=
[* 906,
    [ [* 157,
        a
    *], [* 605,
        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:=
[* 906,
    [ [* 157,
        a
    *], [* 605,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 906,
    [ [* 157,
        a^2
    *], [* 605,
        -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:=
[* 906,
    [ [* 157,
        a^2
    *], [* 605,
        -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:=
[* 906,
    [ [* 157,
        a
    *], [* 605,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 906,
    [ [* 157,
        a
    *], [* 605,
        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:=
[* 906,
    [ [* 157,
        a^2
    *], [* 605,
        -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:=
[* 906,
    [ [* 157,
        a - 1
    *], [* 605,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 906,
    [ [* 157, -1 *], [* 605, 1 *] ]
*]
;
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^297 - x^296 + x^294 + x^293 - x^291 - x^290 + x^288 + x^287 - 
    x^285 - x^284 + x^282 + x^281 - x^279 - x^278 + x^276 + x^275 - x^273 - 
    x^272 + x^270 + x^269 - x^267 - x^266 + x^264 + x^263 - x^261 - x^260 + 
    x^258 + x^257 - x^255 - x^254 + x^252 + x^251 - x^249 - x^248 + x^246 + 
    x^245 - x^243 - x^242 + x^240 + x^239 - x^237 - x^236 + x^234 + x^233 - 
    x^231 - x^230 + x^228 + x^227 - x^225 - x^224 + x^222 + x^221 - x^219 - 
    x^218 + x^216 + x^215 - x^213 - x^212 + x^210 + x^209 - x^207 - x^206 + 
    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^148 - x^147 + x^145 + x^144 - x^142 - x^141 + x^139 + x^138 - 
    x^136 - x^135 + x^133 + x^132 - 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:=
[* 907,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 907,
    [ [* 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:=
[* 907,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 907,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 908,
    [ [* 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:=
[* 908,
    [ [* 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:=
[* 908,
    [ [* 229,
        a^2
    *], [* 455,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 908,
    [ [* 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^2 - x + 1
);
eps_on_gens:=
[* 909,
    [ [* 506,
        a
    *], [* 406,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 909,
    [ [* 506, -1 *], [* 406, 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:=
[* 909,
    [ [* 506,
        1
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        a^50 - 1
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        a^25
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        -1
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        a^25
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        -1
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        1
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        a^10 - 1
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        a^5
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        -1
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        a^5
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        -1
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        1
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        a^2 - 1
    *], [* 406,
        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:=
[* 909,
    [ [* 506,
        a
    *], [* 406,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 909,
    [ [* 506, -1 *], [* 406, -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:=
[* 910,
    [ [* 561,
        1
    *], [* 521,
        1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        1
    *], [* 521,
        a
    *], [* 547,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 910,
    [ [* 561,
        1
    *], [* 521,
        a
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        1
    *], [* 521,
        a^2 - 1
    *], [* 547,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 910,
    [ [* 561, 1 *], [* 521, -1 *], [* 547, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 910,
    [ [* 561, 1 *], [* 521, -1 *], [* 547, -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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        a^2
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        a^2
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        a^2 - 1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        a^2 - 1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -a^2
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -a^2
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -a^2 + 1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -a^2 + 1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a^2
    *], [* 521,
        1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        a
    *], [* 547,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        a
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a^2
    *], [* 521,
        a^2 - 1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a^2
    *], [* 521,
        -a^2
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -a + 1
    *], [* 547,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -a + 1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a^3
    *], [* 521,
        a^2
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a^3
    *], [* 521,
        a^2
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a^3
    *], [* 521,
        a^2 - 1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a^3
    *], [* 521,
        a^2 - 1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a
    *], [* 521,
        -1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a^2 - 1
    *], [* 521,
        1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a - 1
    *], [* 521,
        a
    *], [* 547,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 910,
    [ [* 561,
        a - 1
    *], [* 521,
        a
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a^2 - 1
    *], [* 521,
        a^2 - 1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a - 1
    *], [* 521,
        -1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a - 1
    *], [* 521,
        -1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        a^2 - 1
    *], [* 521,
        -a^2
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        a - 1
    *], [* 521,
        -a + 1
    *], [* 547,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 910,
    [ [* 561,
        a - 1
    *], [* 521,
        -a + 1
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        -1
    *], [* 521,
        1
    *], [* 547,
        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:=
[* 910,
    [ [* 561,
        -1
    *], [* 521,
        a
    *], [* 547,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 910,
    [ [* 561,
        -1
    *], [* 521,
        a
    *], [* 547,
        -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:=
[* 910,
    [ [* 561,
        -1
    *], [* 521,
        a^2 - 1
    *], [* 547,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 910,
    [ [* 561, -1 *], [* 521, -1 *], [* 547, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 910,
    [ [* 561, -1 *], [* 521, -1 *], [* 547, -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^286 - x^285 + x^284 + x^281 - x^280 + x^279 - x^278 + x^277 + 
    x^275 - x^274 + x^273 - x^272 + x^271 + x^268 - x^267 + x^266 - x^265 + 
    x^264 - x^253 + x^252 - x^251 + x^250 - x^249 - x^246 + x^245 - x^244 + 
    x^243 - x^242 - x^240 + x^239 - x^238 + x^237 - x^236 - x^233 + x^232 - 
    x^231 + x^230 - x^229 - x^223 + x^222 - x^221 + x^220 - x^219 + x^218 - 
    x^217 + x^213 - x^212 + x^211 - 2*x^210 + 2*x^209 - 2*x^208 + 2*x^207 - 
    x^206 + x^205 - x^204 + x^200 - x^199 + x^198 - 2*x^197 + 2*x^196 - 2*x^195 
    + 2*x^194 - x^193 - x^190 + x^189 - x^185 + x^181 - x^180 - x^178 + x^175 - 
    x^174 + x^173 - 2*x^172 + x^171 - x^170 + x^169 - x^165 + x^164 - x^163 + 
    2*x^162 - 2*x^161 + 2*x^160 - 2*x^159 + 2*x^158 - x^157 + x^156 + x^151 + 
    x^149 - x^148 + x^147 - x^146 + 2*x^145 - x^144 + 2*x^143 - x^142 + x^141 - 
    x^140 + x^139 + x^137 + x^132 - x^131 + 2*x^130 - 2*x^129 + 2*x^128 - 
    2*x^127 + 2*x^126 - x^125 + x^124 - x^123 + x^119 - x^118 + x^117 - 2*x^116 
    + x^115 - x^114 + x^113 - x^110 - x^108 + x^107 - x^103 + x^99 - x^98 - x^95
    + 2*x^94 - 2*x^93 + 2*x^92 - 2*x^91 + x^90 - x^89 + x^88 - x^84 + x^83 - 
    x^82 + 2*x^81 - 2*x^80 + 2*x^79 - 2*x^78 + x^77 - x^76 + x^75 - x^71 + x^70 
    - x^69 + x^68 - x^67 + x^66 - x^65 - x^59 + x^58 - x^57 + x^56 - x^55 - x^52
    + x^51 - x^50 + x^49 - x^48 - x^46 + x^45 - x^44 + x^43 - x^42 - x^39 + x^38
    - x^37 + x^36 - x^35 + x^24 - x^23 + x^22 - x^21 + x^20 + x^17 - x^16 + x^15
    - x^14 + x^13 + x^11 - x^10 + x^9 - x^8 + x^7 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 911,
    [ [* 17,
        a
    *] ]
*]
;
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^65 - x^64 - x^59 + x^57 + x^52 - x^50 + x^46 + x^43 - x^39 - 
    x^36 - x^33 + x^29 + x^26 - x^22 + x^20 + x^15 - x^13 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 911,
    [ [* 17,
        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:=
[* 911,
    [ [* 17,
        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:=
[* 911,
    [ [* 17,
        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:=
[* 911,
    [ [* 17,
        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:=
[* 911,
    [ [* 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:=
[* 911,
    [ [* 17,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
15
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 911,
    [ [* 17,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 912,
    [ [* 799, -1 *], [* 229, 1 *], [* 305, 1 *], [* 97, 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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        a
    *], [* 305,
        1
    *], [* 97,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 912,
    [ [* 799, -1 *], [* 229, -1 *], [* 305, 1 *], [* 97, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 912,
    [ [* 799, 1 *], [* 229, 1 *], [* 305, -1 *], [* 97, 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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        a
    *], [* 305,
        -1
    *], [* 97,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 912,
    [ [* 799, 1 *], [* 229, -1 *], [* 305, -1 *], [* 97, 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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        1
    *], [* 305,
        1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        a^9
    *], [* 305,
        1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        -1
    *], [* 305,
        1
    *], [* 97,
        a
    *] ]
*]
;
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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        1
    *], [* 305,
        -1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        a^9
    *], [* 305,
        -1
    *], [* 97,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        -1
    *], [* 305,
        -1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        1
    *], [* 305,
        1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        a^9
    *], [* 305,
        1
    *], [* 97,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        -1
    *], [* 305,
        1
    *], [* 97,
        a^2
    *] ]
*]
;
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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        1
    *], [* 305,
        -1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        a^9
    *], [* 305,
        -1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        -1
    *], [* 305,
        -1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        1
    *], [* 305,
        1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        a^3
    *], [* 305,
        1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        -1
    *], [* 305,
        1
    *], [* 97,
        a
    *] ]
*]
;
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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        1
    *], [* 305,
        -1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        a^3
    *], [* 305,
        -1
    *], [* 97,
        a^2
    *] ]
*]
;
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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        -1
    *], [* 305,
        -1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        1
    *], [* 305,
        1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        a^3
    *], [* 305,
        1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        -1
    *], [* 305,
        1
    *], [* 97,
        a - 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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        1
    *], [* 305,
        -1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        a^3
    *], [* 305,
        -1
    *], [* 97,
        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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        -1
    *], [* 305,
        -1
    *], [* 97,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 912,
    [ [* 799, 1 *], [* 229, 1 *], [* 305, 1 *], [* 97, -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:=
[* 912,
    [ [* 799,
        1
    *], [* 229,
        a
    *], [* 305,
        1
    *], [* 97,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 912,
    [ [* 799, 1 *], [* 229, -1 *], [* 305, 1 *], [* 97, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 912,
    [ [* 799, -1 *], [* 229, 1 *], [* 305, -1 *], [* 97, -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:=
[* 912,
    [ [* 799,
        -1
    *], [* 229,
        a
    *], [* 305,
        -1
    *], [* 97,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 912,
    [ [* 799, -1 *], [* 229, -1 *], [* 305, -1 *], [* 97, -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:=
[* 913,
    [ [* 167,
        a
    *], [* 749,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 913,
    [ [* 167, -1 *], [* 749, 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:=
[* 913,
    [ [* 167,
        1
    *], [* 749,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 + x^159 - x^155 - x^154 + x^150 + x^149 - x^145 - x^144 + x^140 + x^139 - 
    x^135 - x^134 + x^130 + x^129 - x^125 - x^124 + x^120 - x^118 - x^115 + 
    x^113 + x^110 - x^108 - x^105 + x^103 + x^100 - x^98 - x^95 + x^93 + x^90 - 
    x^88 - x^85 + x^83 + x^80 + x^77 - x^75 - x^72 + x^70 + x^67 - x^65 - x^62 +
    x^60 + x^57 - x^55 - x^52 + x^50 + x^47 - x^45 - x^42 + x^40 - x^36 - x^35 +
    x^31 + x^30 - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - 
    x^5 + x + 1
);
eps_on_gens:=
[* 913,
    [ [* 167,
        a^82
    *], [* 749,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 + x^159 - x^155 - x^154 + x^150 + x^149 - x^145 - x^144 + x^140 + x^139 - 
    x^135 - x^134 + x^130 + x^129 - x^125 - x^124 + x^120 - x^118 - x^115 + 
    x^113 + x^110 - x^108 - x^105 + x^103 + x^100 - x^98 - x^95 + x^93 + x^90 - 
    x^88 - x^85 + x^83 + x^80 + x^77 - x^75 - x^72 + x^70 + x^67 - x^65 - x^62 +
    x^60 + x^57 - x^55 - x^52 + x^50 + x^47 - x^45 - x^42 + x^40 - x^36 - x^35 +
    x^31 + x^30 - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - 
    x^5 + x + 1
);
eps_on_gens:=
[* 913,
    [ [* 167,
        a^41
    *], [* 749,
        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^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:=
[* 913,
    [ [* 167,
        -1
    *], [* 749,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 913,
    [ [* 167, 1 *], [* 749, -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^7 + 3*x^6 + x^5 + x^3 + 23*x^2 + 3*x + 1
);
eps_on_gens:=
[* 913,
    [ [* 167,
        1/310*(-70*a^7 + 159*a^6 - 235*a^5 - 35*a^4 + 25*a^3 - 110*a^2 - 1496*a 
            - 5)
    *], [* 749,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 + x^140 - x^132 - x^128 + x^120 + x^116 - x^108 - x^104 + x^96 + x^92 - 
    x^84 - x^80 + x^72 - x^64 - x^60 + x^52 + x^48 - x^40 - x^36 + x^28 + x^24 -
    x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 914,
    [ [* 13,
        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:=
[* 914,
    [ [* 13,
        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:=
[* 914,
    [ [* 13,
        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:=
[* 914,
    [ [* 13,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 915,
    [ [* 856, 1 *], [* 367, 1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        1
    *], [* 367,
        a
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 915,
    [ [* 856, 1 *], [* 367, -1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        1
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        a^15
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -1
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -a^15
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a^2
    *], [* 367,
        a^15
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        1
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        a^5
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -1
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -a^5
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a^2
    *], [* 367,
        1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a^4
    *], [* 367,
        a^15
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a^2
    *], [* 367,
        -1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        1
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        a^3
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -1
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -a^3
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a^2
    *], [* 367,
        a^5
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a^2
    *], [* 367,
        a^3
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a^2
    *], [* 367,
        1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a^4
    *], [* 367,
        a^5
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a^2
    *], [* 367,
        -1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        1
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        a
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -1
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a
    *], [* 367,
        -a
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a - 1
    *], [* 367,
        1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a^2 - 1
    *], [* 367,
        a^3
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        a - 1
    *], [* 367,
        -1
    *], [* 611,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 915,
    [ [* 856, -1 *], [* 367, 1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 915,
    [ [* 856,
        -1
    *], [* 367,
        a
    *], [* 611,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 915,
    [ [* 856, -1 *], [* 367, -1 *], [* 611, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 916,
    [ [* 693, 1 *], [* 459, -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:=
[* 916,
    [ [* 693,
        a
    *], [* 459,
        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:=
[* 916,
    [ [* 693,
        a
    *], [* 459,
        -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:=
[* 916,
    [ [* 693,
        a
    *], [* 459,
        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^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:=
[* 916,
    [ [* 693,
        a^2
    *], [* 459,
        -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:=
[* 916,
    [ [* 693,
        a
    *], [* 459,
        -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:=
[* 916,
    [ [* 693,
        a^2
    *], [* 459,
        -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:=
[* 916,
    [ [* 693,
        a
    *], [* 459,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 916,
    [ [* 693,
        a
    *], [* 459,
        -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:=
[* 916,
    [ [* 693,
        a
    *], [* 459,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 916,
    [ [* 693,
        a - 1
    *], [* 459,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 916,
    [ [* 693,
        -1
    *], [* 459,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 917,
    [ [* 787,
        a
    *], [* 526,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 917,
    [ [* 787, -1 *], [* 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:=
[* 917,
    [ [* 787,
        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^95 + x^94 + x^91 - x^90 + x^89 + x^83 - x^82 + x^80 - x^79 + x^78 - 
    x^77 + x^75 - x^74 - x^68 + x^67 - x^65 + x^64 - x^63 + x^62 - x^60 + x^59 -
    x^57 + x^56 - x^55 + x^53 - 2*x^52 + x^51 - x^49 + x^48 - x^47 + x^45 - 
    2*x^44 + x^43 - x^41 + x^40 - x^39 + x^37 - x^36 + x^34 - x^33 + x^32 - x^31
    + x^29 - x^28 - x^22 + x^21 - x^19 + x^18 - x^17 + x^16 - x^14 + x^13 + x^7 
    - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 917,
    [ [* 787,
        a^65 - 1
    *], [* 526,
        a^3
    *] ]
*]
;
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^94 + x^91 - x^90 + x^89 + x^83 - x^82 + x^80 - x^79 + x^78 - 
    x^77 + x^75 - x^74 - x^68 + x^67 - x^65 + x^64 - x^63 + x^62 - x^60 + x^59 -
    x^57 + x^56 - x^55 + x^53 - 2*x^52 + x^51 - x^49 + x^48 - x^47 + x^45 - 
    2*x^44 + x^43 - x^41 + x^40 - x^39 + x^37 - x^36 + x^34 - x^33 + x^32 - x^31
    + x^29 - x^28 - x^22 + x^21 - x^19 + x^18 - x^17 + x^16 - x^14 + x^13 + x^7 
    - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 917,
    [ [* 787,
        a^65
    *], [* 526,
        a^6
    *] ]
*]
;
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:=
[* 917,
    [ [* 787,
        -1
    *], [* 526,
        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^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 917,
    [ [* 787,
        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^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:=
[* 917,
    [ [* 787,
        a^13 - 1
    *], [* 526,
        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:=
[* 917,
    [ [* 787,
        a^13
    *], [* 526,
        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^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 917,
    [ [* 787,
        -1
    *], [* 526,
        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:=
[* 917,
    [ [* 787,
        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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 917,
    [ [* 787,
        a^5 - 1
    *], [* 526,
        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:=
[* 917,
    [ [* 787,
        a^5
    *], [* 526,
        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:=
[* 917,
    [ [* 787,
        -1
    *], [* 526,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 917,
    [ [* 787, 1 *], [* 526, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^7 + x^5 - x^4 + x^3 - x + 1
);
eps_on_gens:=
[* 917,
    [ [* 787,
        -a^5 - 1
    *], [* 526,
        -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:=
[* 918,
    [ [* 137,
        a
    *], [* 649,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 918,
    [ [* 137,
        a
    *], [* 649,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 918,
    [ [* 137, -1 *], [* 649, 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:=
[* 918,
    [ [* 137,
        1
    *], [* 649,
        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:=
[* 918,
    [ [* 137,
        a^16
    *], [* 649,
        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^8 + 1
);
eps_on_gens:=
[* 918,
    [ [* 137,
        a^8 - 1
    *], [* 649,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 918,
    [ [* 137,
        a^4
    *], [* 649,
        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:=
[* 918,
    [ [* 137,
        a^4
    *], [* 649,
        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:=
[* 918,
    [ [* 137,
        -1
    *], [* 649,
        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:=
[* 918,
    [ [* 137,
        a^2
    *], [* 649,
        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:=
[* 918,
    [ [* 137,
        a^2
    *], [* 649,
        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:=
[* 918,
    [ [* 137,
        -1
    *], [* 649,
        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:=
[* 918,
    [ [* 137,
        a
    *], [* 649,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 918,
    [ [* 137,
        a
    *], [* 649,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 918,
    [ [* 137, -1 *], [* 649, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^288 + x^279 - x^261 - x^252 + x^234 + x^225 - x^207 - x^198 + x^180 + x^171 - 
    x^153 - x^144 - x^135 + x^117 + x^108 - x^90 - x^81 + x^63 + x^54 - x^36 - 
    x^27 + x^9 + 1
);
eps_on_gens:=
[* 919,
    [ [* 7,
        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:=
[* 919,
    [ [* 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^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:=
[* 919,
    [ [* 7,
        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:=
[* 919,
    [ [* 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^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:=
[* 919,
    [ [* 7,
        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:=
[* 919,
    [ [* 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:=
[* 919,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
9
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 919,
    [ [* 7,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 920,
    [ [* 231, -1 *], [* 737, 1 *], [* 461, 1 *], [* 281, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 920,
    [ [* 231, -1 *], [* 737, 1 *], [* 461, -1 *], [* 281, 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:=
[* 920,
    [ [* 231,
        1
    *], [* 737,
        a
    *], [* 461,
        1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        1
    *], [* 737,
        a
    *], [* 461,
        -1
    *], [* 281,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 920,
    [ [* 231, -1 *], [* 737, -1 *], [* 461, 1 *], [* 281, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 920,
    [ [* 231, -1 *], [* 737, -1 *], [* 461, -1 *], [* 281, 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:=
[* 920,
    [ [* 231,
        1
    *], [* 737,
        1
    *], [* 461,
        1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        1
    *], [* 737,
        1
    *], [* 461,
        -1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        -1
    *], [* 737,
        a^11
    *], [* 461,
        1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        -1
    *], [* 737,
        a^11
    *], [* 461,
        -1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        1
    *], [* 737,
        -1
    *], [* 461,
        1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        1
    *], [* 737,
        -1
    *], [* 461,
        -1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        -1
    *], [* 737,
        1
    *], [* 461,
        1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        -1
    *], [* 737,
        1
    *], [* 461,
        -1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        1
    *], [* 737,
        a^11
    *], [* 461,
        1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        1
    *], [* 737,
        a^11
    *], [* 461,
        -1
    *], [* 281,
        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:=
[* 920,
    [ [* 231,
        -1
    *], [* 737,
        -1
    *], [* 461,
        1
    *], [* 281,
        a^2
    *] ]
*]
;
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:=
[* 920,
    [ [* 231,
        -1
    *], [* 737,
        -1
    *], [* 461,
        -1
    *], [* 281,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 920,
    [ [* 231, 1 *], [* 737, 1 *], [* 461, 1 *], [* 281, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 920,
    [ [* 231, 1 *], [* 737, 1 *], [* 461, -1 *], [* 281, -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:=
[* 920,
    [ [* 231,
        -1
    *], [* 737,
        a
    *], [* 461,
        1
    *], [* 281,
        -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:=
[* 920,
    [ [* 231,
        -1
    *], [* 737,
        a
    *], [* 461,
        -1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 920,
    [ [* 231, 1 *], [* 737, -1 *], [* 461, 1 *], [* 281, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 920,
    [ [* 231,
        1
    *], [* 737,
        -1
    *], [* 461,
        -1
    *], [* 281,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 921,
    [ [* 619, 1 *], [* 308, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^93 - x^87 - x^84 + x^78 + x^75 - x^69 - x^66 + x^60 + x^57 - x^51 - 
    x^48 - x^45 + x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 921,
    [ [* 619,
        a
    *], [* 308,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^93 - x^87 - x^84 + x^78 + x^75 - x^69 - x^66 + x^60 + x^57 - x^51 - 
    x^48 - x^45 + x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 921,
    [ [* 619,
        a^2
    *], [* 308,
        -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:=
[* 921,
    [ [* 619,
        a
    *], [* 308,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 921,
    [ [* 619,
        a^2
    *], [* 308,
        -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:=
[* 921,
    [ [* 619,
        a
    *], [* 308,
        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:=
[* 921,
    [ [* 619,
        a
    *], [* 308,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + 
    x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 921,
    [ [* 619,
        a^2
    *], [* 308,
        -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:=
[* 921,
    [ [* 619,
        a^2
    *], [* 308,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 921,
    [ [* 619,
        a
    *], [* 308,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 7*x^2 - 6*x + 3
);
eps_on_gens:=
[* 921,
    [ [* 619,
        1/5*(-2*a^3 + 3*a^2 - 10*a + 2)
    *], [* 308,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 921,
    [ [* 619, -1 *], [* 308, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^176 + x^174 - x^166 - x^164 + x^156 + x^154 - x^146 - x^144 + x^136 + x^134 - 
    x^130 - x^128 - x^126 - x^124 + x^120 + x^118 + x^116 + x^114 - x^110 - 
    x^108 - x^106 - x^104 + x^100 + x^98 + x^96 + x^94 - x^90 - x^88 - x^86 + 
    x^82 + x^80 + x^78 + x^76 - x^72 - x^70 - x^68 - x^66 + x^62 + x^60 + x^58 +
    x^56 - x^52 - x^50 - x^48 - x^46 + x^42 + x^40 - x^32 - x^30 + x^22 + x^20 -
    x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 922,
    [ [* 463,
        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:=
[* 922,
    [ [* 463,
        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:=
[* 922,
    [ [* 463,
        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:=
[* 922,
    [ [* 463,
        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:=
[* 923,
    [ [* 859,
        1
    *], [* 782,
        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:=
[* 923,
    [ [* 859,
        1
    *], [* 782,
        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:=
[* 923,
    [ [* 859,
        a
    *], [* 782,
        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:=
[* 923,
    [ [* 859,
        a^3
    *], [* 782,
        a^35
    *] ]
*]
;
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:=
[* 923,
    [ [* 859,
        a^3
    *], [* 782,
        a^35 - 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:=
[* 923,
    [ [* 859,
        a
    *], [* 782,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 - x^94 + x^92 + x^86 - x^84 + 2*x^82 - x^80 + x^78 + x^72 - x^70 + x^68 - 
    x^66 + x^64 - x^62 - x^56 - x^52 - x^48 - x^44 - x^40 - x^34 + x^32 - x^30 +
    x^28 - x^26 + x^24 + x^18 - x^16 + 2*x^14 - x^12 + x^10 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 923,
    [ [* 859,
        a^12
    *], [* 782,
        a^35
    *] ]
*]
;
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:=
[* 923,
    [ [* 859,
        a^4
    *], [* 782,
        a^35
    *] ]
*]
;
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:=
[* 923,
    [ [* 859,
        a
    *], [* 782,
        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:=
[* 923,
    [ [* 859,
        a^3
    *], [* 782,
        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:=
[* 923,
    [ [* 859,
        a^3
    *], [* 782,
        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:=
[* 923,
    [ [* 859,
        a
    *], [* 782,
        -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:=
[* 923,
    [ [* 859,
        a
    *], [* 782,
        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:=
[* 923,
    [ [* 859,
        a^3
    *], [* 782,
        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:=
[* 923,
    [ [* 859,
        a^3
    *], [* 782,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 923,
    [ [* 859,
        a
    *], [* 782,
        -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:=
[* 923,
    [ [* 859,
        a^12
    *], [* 782,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 923,
    [ [* 859,
        a^4
    *], [* 782,
        a^7
    *] ]
*]
;
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:=
[* 923,
    [ [* 859,
        a^12
    *], [* 782,
        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:=
[* 923,
    [ [* 859,
        a^4
    *], [* 782,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 923,
    [ [* 859, -1 *], [* 782, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 923,
    [ [* 859,
        -1
    *], [* 782,
        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:=
[* 923,
    [ [* 859,
        -1
    *], [* 782,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 923,
    [ [* 859,
        -1
    *], [* 782,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 924,
    [ [* 661, 1 *], [* 673, 1 *], [* 463, -1 *], [* 617, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 924,
    [ [* 661, 1 *], [* 673, 1 *], [* 463, 1 *], [* 617, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 924,
    [ [* 661,
        a
    *], [* 673,
        1
    *], [* 463,
        1
    *], [* 617,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 924,
    [ [* 661,
        a
    *], [* 673,
        1
    *], [* 463,
        -1
    *], [* 617,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 924,
    [ [* 661,
        a - 1
    *], [* 673,
        1
    *], [* 463,
        -1
    *], [* 617,
        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:=
[* 924,
    [ [* 661,
        a - 1
    *], [* 673,
        1
    *], [* 463,
        1
    *], [* 617,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 924,
    [ [* 661, -1 *], [* 673, 1 *], [* 463, 1 *], [* 617, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 924,
    [ [* 661, -1 *], [* 673, 1 *], [* 463, -1 *], [* 617, -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:=
[* 924,
    [ [* 661,
        1
    *], [* 673,
        a
    *], [* 463,
        1
    *], [* 617,
        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:=
[* 924,
    [ [* 661,
        1
    *], [* 673,
        a
    *], [* 463,
        -1
    *], [* 617,
        -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:=
[* 924,
    [ [* 661,
        a^5
    *], [* 673,
        a^3
    *], [* 463,
        -1
    *], [* 617,
        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:=
[* 924,
    [ [* 661,
        a^5
    *], [* 673,
        a^3
    *], [* 463,
        1
    *], [* 617,
        -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:=
[* 924,
    [ [* 661,
        a^5 - 1
    *], [* 673,
        a^3
    *], [* 463,
        1
    *], [* 617,
        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:=
[* 924,
    [ [* 661,
        a^5 - 1
    *], [* 673,
        a^3
    *], [* 463,
        -1
    *], [* 617,
        -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:=
[* 924,
    [ [* 661,
        -1
    *], [* 673,
        a
    *], [* 463,
        -1
    *], [* 617,
        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:=
[* 924,
    [ [* 661,
        -1
    *], [* 673,
        a
    *], [* 463,
        1
    *], [* 617,
        -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:=
[* 924,
    [ [* 661,
        1
    *], [* 673,
        a^2
    *], [* 463,
        -1
    *], [* 617,
        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:=
[* 924,
    [ [* 661,
        1
    *], [* 673,
        a^2
    *], [* 463,
        1
    *], [* 617,
        -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:=
[* 924,
    [ [* 661,
        a^5
    *], [* 673,
        a^6
    *], [* 463,
        1
    *], [* 617,
        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:=
[* 924,
    [ [* 661,
        a^5
    *], [* 673,
        a^6
    *], [* 463,
        -1
    *], [* 617,
        -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:=
[* 924,
    [ [* 661,
        a^5 - 1
    *], [* 673,
        a^6
    *], [* 463,
        -1
    *], [* 617,
        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:=
[* 924,
    [ [* 661,
        a^5 - 1
    *], [* 673,
        a^6
    *], [* 463,
        1
    *], [* 617,
        -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:=
[* 924,
    [ [* 661,
        -1
    *], [* 673,
        a^2
    *], [* 463,
        1
    *], [* 617,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 924,
    [ [* 661,
        -1
    *], [* 673,
        a^2
    *], [* 463,
        -1
    *], [* 617,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 924,
    [ [* 661, 1 *], [* 673, -1 *], [* 463, 1 *], [* 617, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 924,
    [ [* 661, 1 *], [* 673, -1 *], [* 463, -1 *], [* 617, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 924,
    [ [* 661,
        a
    *], [* 673,
        -1
    *], [* 463,
        -1
    *], [* 617,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 924,
    [ [* 661,
        a
    *], [* 673,
        -1
    *], [* 463,
        1
    *], [* 617,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 924,
    [ [* 661,
        a - 1
    *], [* 673,
        -1
    *], [* 463,
        1
    *], [* 617,
        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:=
[* 924,
    [ [* 661,
        a - 1
    *], [* 673,
        -1
    *], [* 463,
        -1
    *], [* 617,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 924,
    [ [* 661, -1 *], [* 673, -1 *], [* 463, -1 *], [* 617, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 924,
    [ [* 661, -1 *], [* 673, -1 *], [* 463, 1 *], [* 617, -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:=
[* 925,
    [ [* 852,
        a
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        1
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^18
    *], [* 76,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 925,
    [ [* 852,
        a^36
    *], [* 76,
        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^6 + 1
);
eps_on_gens:=
[* 925,
    [ [* 852,
        -1
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^9
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^9
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        1
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^6
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^12
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        -1
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^9
    *], [* 76,
        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^6 + 1
);
eps_on_gens:=
[* 925,
    [ [* 852,
        a^9
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^3
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^3
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        1
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^2
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^4
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        -1
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^3
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a^3
    *], [* 76,
        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:=
[* 925,
    [ [* 852,
        a
    *], [* 76,
        -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:=
[* 925,
    [ [* 852,
        a
    *], [* 76,
        -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^118 + x^113 - x^112 + x^111 + x^109 - x^108 + x^107 + x^102 - 
    x^101 + x^100 - x^99 + x^98 - x^97 - x^92 + x^91 - x^90 - x^88 - x^85 - x^81
    - x^77 + x^75 - x^74 + x^71 - x^70 + x^68 + x^64 + x^60 + x^56 + x^52 - x^50
    + x^49 - x^46 + x^45 - x^43 - x^39 - x^35 - x^32 - x^30 + x^29 - x^28 - x^23
    + x^22 - x^21 + x^20 - x^19 + x^18 + x^13 - x^12 + x^11 + x^9 - x^8 + x^7 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 926,
    [ [* 3,
        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:=
[* 926,
    [ [* 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:=
[* 926,
    [ [* 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:=
[* 926,
    [ [* 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:=
[* 926,
    [ [* 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:=
[* 926,
    [ [* 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:=
[* 926,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 926,
    [ [* 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:=
[* 927,
    [ [* 829,
        1
    *], [* 722,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 927,
    [ [* 829, 1 *], [* 722, -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:=
[* 927,
    [ [* 829,
        a
    *], [* 722,
        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:=
[* 927,
    [ [* 829,
        a
    *], [* 722,
        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:=
[* 927,
    [ [* 829,
        a
    *], [* 722,
        -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:=
[* 927,
    [ [* 829,
        a^2
    *], [* 722,
        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:=
[* 927,
    [ [* 829,
        a^2
    *], [* 722,
        -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:=
[* 927,
    [ [* 829,
        a^2
    *], [* 722,
        -a^17 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + 
    x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 927,
    [ [* 829,
        a
    *], [* 722,
        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:=
[* 927,
    [ [* 829,
        a^3
    *], [* 722,
        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:=
[* 927,
    [ [* 829,
        a^6
    *], [* 722,
        a^17
    *] ]
*]
;
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:=
[* 927,
    [ [* 829,
        a^2
    *], [* 722,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 927,
    [ [* 829,
        a
    *], [* 722,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 927,
    [ [* 829,
        a
    *], [* 722,
        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:=
[* 927,
    [ [* 829,
        a
    *], [* 722,
        -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:=
[* 927,
    [ [* 829,
        a - 1
    *], [* 722,
        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:=
[* 927,
    [ [* 829,
        a - 1
    *], [* 722,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 927,
    [ [* 829,
        a - 1
    *], [* 722,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 927,
    [ [* 829,
        -1
    *], [* 722,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 927,
    [ [* 829,
        -1
    *], [* 722,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 928,
    [ [* 581, 1 *], [* 321, 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 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        a
    *], [* 321,
        1
    *], [* 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:=
[* 928,
    [ [* 581,
        a
    *], [* 321,
        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:=
[* 928,
    [ [* 581, -1 *], [* 321, 1 *], [* 639, -1 *] ]
*]
;
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:=
[* 928,
    [ [* 581,
        1
    *], [* 321,
        a
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        a^7
    *], [* 321,
        a^2
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        a^7
    *], [* 321,
        a
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        a^21
    *], [* 321,
        a^2
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        -1
    *], [* 321,
        a
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        -a^7
    *], [* 321,
        a
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        1
    *], [* 321,
        a
    *], [* 639,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        a^7
    *], [* 321,
        a^4
    *], [* 639,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        a^7
    *], [* 321,
        a^2
    *], [* 639,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        -1
    *], [* 321,
        a
    *], [* 639,
        -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:=
[* 928,
    [ [* 581,
        1
    *], [* 321,
        a^2
    *], [* 639,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        a^7
    *], [* 321,
        a^8
    *], [* 639,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        a^7
    *], [* 321,
        a^4
    *], [* 639,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        -1
    *], [* 321,
        a^2
    *], [* 639,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        1
    *], [* 321,
        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:=
[* 928,
    [ [* 581,
        a
    *], [* 321,
        a^2
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        a
    *], [* 321,
        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:=
[* 928,
    [ [* 581,
        a^3
    *], [* 321,
        a^2
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        -1
    *], [* 321,
        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:=
[* 928,
    [ [* 581,
        -a
    *], [* 321,
        a
    *], [* 639,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 928,
    [ [* 581, 1 *], [* 321, -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 + 1
);
eps_on_gens:=
[* 928,
    [ [* 581,
        a
    *], [* 321,
        -1
    *], [* 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:=
[* 928,
    [ [* 581,
        a
    *], [* 321,
        -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:=
[* 928,
    [ [* 581, -1 *], [* 321, -1 *], [* 639, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^448 - x^432 + x^416 - x^400 + x^384 - x^368 + x^352 - x^336 + x^320 - x^304 + 
    x^288 - x^272 + x^256 - x^240 + x^224 - x^208 + x^192 - x^176 + x^160 - 
    x^144 + x^128 - x^112 + x^96 - x^80 + x^64 - x^48 + x^32 - x^16 + 1
);
eps_on_gens:=
[* 929,
    [ [* 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:=
[* 929,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 930,
    [ [* 187, 1 *], [* 871, 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:=
[* 930,
    [ [* 187,
        a
    *], [* 871,
        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:=
[* 930,
    [ [* 187, -1 *], [* 871, 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:=
[* 930,
    [ [* 187,
        1
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        a^15
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        -1
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        1
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        a^15
    *], [* 871,
        a^4
    *], [* 311,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 930,
    [ [* 187,
        -1
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        1
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        a^5
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        -1
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        1
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        a^3
    *], [* 871,
        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^2 - x + 1
);
eps_on_gens:=
[* 930,
    [ [* 187,
        -1
    *], [* 871,
        a
    *], [* 311,
        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:=
[* 930,
    [ [* 187,
        1
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        a^5
    *], [* 871,
        a^4
    *], [* 311,
        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:=
[* 930,
    [ [* 187,
        -1
    *], [* 871,
        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^2 - x + 1
);
eps_on_gens:=
[* 930,
    [ [* 187,
        1
    *], [* 871,
        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:=
[* 930,
    [ [* 187,
        a^3
    *], [* 871,
        a^2 - 1
    *], [* 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:=
[* 930,
    [ [* 187,
        -1
    *], [* 871,
        a - 1
    *], [* 311,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 930,
    [ [* 187, 1 *], [* 871, -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:=
[* 930,
    [ [* 187,
        a
    *], [* 871,
        -1
    *], [* 311,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 930,
    [ [* 187, -1 *], [* 871, -1 *], [* 311, 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:=
[* 931,
    [ [* 248,
        a
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        a
    *], [* 344,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 931,
    [ [* 248,
        a
    *], [* 344,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 931,
    [ [* 248, -1 *], [* 344, 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:=
[* 931,
    [ [* 248,
        1
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        a^6
    *], [* 344,
        a^7
    *] ]
*]
;
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:=
[* 931,
    [ [* 248,
        a^12
    *], [* 344,
        a^7
    *] ]
*]
;
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:=
[* 931,
    [ [* 248,
        a^18
    *], [* 344,
        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^3 + 1
);
eps_on_gens:=
[* 931,
    [ [* 248,
        a^3 - 1
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        -a^3
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        a^3
    *], [* 344,
        a^14
    *] ]
*]
;
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:=
[* 931,
    [ [* 248,
        a^9
    *], [* 344,
        a^14
    *] ]
*]
;
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:=
[* 931,
    [ [* 248,
        a^15
    *], [* 344,
        a^14
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 931,
    [ [* 248,
        a^3
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        -1
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        -a^3 + 1
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        1
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        a^2
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        a^4
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        a^6
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        a - 1
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        -a
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        a
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        a^3
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        a^5
    *], [* 344,
        a^7 - 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:=
[* 931,
    [ [* 248,
        -a^2 + 1
    *], [* 344,
        -a^2
    *] ]
*]
;
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:=
[* 931,
    [ [* 248,
        -1
    *], [* 344,
        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:=
[* 931,
    [ [* 248,
        -a^2 + 1
    *], [* 344,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 931,
    [ [* 248, 1 *], [* 344, -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^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 931,
    [ [* 248,
        a^2
    *], [* 344,
        -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:=
[* 931,
    [ [* 248,
        a^2
    *], [* 344,
        -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:=
[* 931,
    [ [* 248,
        a - 1
    *], [* 344,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 932,
    [ [* 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:=
[* 932,
    [ [* 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:=
[* 932,
    [ [* 469,
        a
    *], [* 467,
        -1
    *] ]
*]
;
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:=
[* 932,
    [ [* 469,
        a
    *], [* 467,
        -1
    *] ]
*]
;
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:=
[* 932,
    [ [* 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:=
[* 932,
    [ [* 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:=
[* 932,
    [ [* 469,
        a
    *], [* 467,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 932,
    [ [* 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:=
[* 933,
    [ [* 328, 1 *], [* 623, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^119 - x^115 - x^114 + x^110 + x^109 - x^105 - x^104 + x^100 + x^99 - 
    x^95 - x^94 + x^90 - x^88 - x^85 + x^83 + x^80 - x^78 - x^75 + x^73 + x^70 -
    x^68 - x^65 + x^63 + x^60 + x^57 - x^55 - x^52 + x^50 + x^47 - x^45 - x^42 +
    x^40 + x^37 - x^35 - x^32 + x^30 - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 +
    x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 933,
    [ [* 328,
        a
    *], [* 623,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^119 - x^115 - x^114 + x^110 + x^109 - x^105 - x^104 + x^100 + x^99 - 
    x^95 - x^94 + x^90 - x^88 - x^85 + x^83 + x^80 - x^78 - x^75 + x^73 + x^70 -
    x^68 - x^65 + x^63 + x^60 + x^57 - x^55 - x^52 + x^50 + x^47 - x^45 - x^42 +
    x^40 + x^37 - x^35 - x^32 + x^30 - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 +
    x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 933,
    [ [* 328,
        a^2
    *], [* 623,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - 
    x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + 
    x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 933,
    [ [* 328,
        a
    *], [* 623,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - 
    x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + 
    x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 933,
    [ [* 328,
        a^2
    *], [* 623,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 933,
    [ [* 328,
        a
    *], [* 623,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 933,
    [ [* 328,
        a^2
    *], [* 623,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 933,
    [ [* 328, -1 *], [* 623, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 934,
    [ [* 469,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 934,
    [ [* 469, -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:=
[* 935,
    [ [* 596,
        1
    *], [* 562,
        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:=
[* 935,
    [ [* 596,
        a
    *], [* 562,
        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:=
[* 935,
    [ [* 596,
        a
    *], [* 562,
        -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:=
[* 935,
    [ [* 596,
        a^4
    *], [* 562,
        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:=
[* 935,
    [ [* 596, -1 *], [* 562, 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:=
[* 935,
    [ [* 596, -1 *], [* 562, -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:=
[* 935,
    [ [* 596,
        1
    *], [* 562,
        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 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        1
    *], [* 562,
        -1
    *], [* 496,
        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:=
[* 935,
    [ [* 596,
        a^8
    *], [* 562,
        a^20
    *], [* 496,
        a^5
    *] ]
*]
;
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:=
[* 935,
    [ [* 596,
        a^8
    *], [* 562,
        -a^20
    *], [* 496,
        a^5
    *] ]
*]
;
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:=
[* 935,
    [ [* 596,
        a^16
    *], [* 562,
        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^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        a^16
    *], [* 562,
        -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 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        -1
    *], [* 562,
        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 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        -1
    *], [* 562,
        -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^4 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        1
    *], [* 562,
        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^4 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        1
    *], [* 562,
        -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^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        a^4
    *], [* 562,
        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^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        a^4
    *], [* 562,
        -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^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        a^8
    *], [* 562,
        a^10
    *], [* 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^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        a^8
    *], [* 562,
        -a^10
    *], [* 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 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        -1
    *], [* 562,
        1
    *], [* 496,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        -1
    *], [* 562,
        -1
    *], [* 496,
        -a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        1
    *], [* 562,
        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:=
[* 935,
    [ [* 596,
        1
    *], [* 562,
        -a
    *], [* 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:=
[* 935,
    [ [* 596,
        a^2
    *], [* 562,
        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:=
[* 935,
    [ [* 596,
        a^2
    *], [* 562,
        -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:=
[* 935,
    [ [* 596,
        a^4
    *], [* 562,
        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:=
[* 935,
    [ [* 596,
        a^4
    *], [* 562,
        -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^2 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        -1
    *], [* 562,
        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 + 1
);
eps_on_gens:=
[* 935,
    [ [* 596,
        -1
    *], [* 562,
        -1
    *], [* 496,
        -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:=
[* 935,
    [ [* 596,
        1
    *], [* 562,
        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:=
[* 935,
    [ [* 596,
        a
    *], [* 562,
        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:=
[* 935,
    [ [* 596,
        a
    *], [* 562,
        -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:=
[* 935,
    [ [* 596,
        a^4
    *], [* 562,
        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:=
[* 935,
    [ [* 596, -1 *], [* 562, 1 *], [* 496, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
16
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 935,
    [ [* 596,
        -1
    *], [* 562,
        -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:=
[* 936,
    [ [* 145, 1 *], [* 703, -1 *], [* 209, 1 *], [* 469, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 936,
    [ [* 145, 1 *], [* 703, -1 *], [* 209, 1 *], [* 469, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        1
    *], [* 703,
        1
    *], [* 209,
        a
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        1
    *], [* 703,
        1
    *], [* 209,
        a
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        1
    *], [* 703,
        -1
    *], [* 209,
        a - 1
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        1
    *], [* 703,
        -1
    *], [* 209,
        a - 1
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 936,
    [ [* 145, 1 *], [* 703, 1 *], [* 209, -1 *], [* 469, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 936,
    [ [* 145, 1 *], [* 703, 1 *], [* 209, -1 *], [* 469, -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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        1
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        a^2
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        a^2
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        a^2 - 1
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        a^2 - 1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        -1
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        -1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        -a^2
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        -a^2
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        -a^2 + 1
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        -a^2 + 1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        1
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        1
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        a
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        a
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        a - 1
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        a - 1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        -1
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        -1
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        -a
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        -a
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        -a + 1
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        -a + 1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        1
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        1
    *], [* 209,
        1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a^3
    *], [* 703,
        -1
    *], [* 209,
        a^2
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        a^3
    *], [* 703,
        -1
    *], [* 209,
        a^2
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a^3
    *], [* 703,
        1
    *], [* 209,
        a^2 - 1
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        a^3
    *], [* 703,
        1
    *], [* 209,
        a^2 - 1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        -1
    *], [* 469,
        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:=
[* 936,
    [ [* 145,
        a
    *], [* 703,
        -1
    *], [* 209,
        -1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        -1
    *], [* 209,
        1
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        -1
    *], [* 209,
        1
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        1
    *], [* 209,
        a
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        1
    *], [* 209,
        a
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        -1
    *], [* 209,
        a - 1
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        -1
    *], [* 209,
        a - 1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        1
    *], [* 209,
        -1
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        1
    *], [* 209,
        -1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        -1
    *], [* 209,
        -a
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        -1
    *], [* 209,
        -a
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        1
    *], [* 209,
        -a + 1
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        a - 1
    *], [* 703,
        1
    *], [* 209,
        -a + 1
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 936,
    [ [* 145, -1 *], [* 703, -1 *], [* 209, 1 *], [* 469, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 936,
    [ [* 145,
        -1
    *], [* 703,
        -1
    *], [* 209,
        1
    *], [* 469,
        -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:=
[* 936,
    [ [* 145,
        -1
    *], [* 703,
        1
    *], [* 209,
        a
    *], [* 469,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        -1
    *], [* 703,
        1
    *], [* 209,
        a
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 936,
    [ [* 145,
        -1
    *], [* 703,
        -1
    *], [* 209,
        a - 1
    *], [* 469,
        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^5 + 7*x^3 + 3*x^2 - 18*x + 19
);
eps_on_gens:=
[* 936,
    [ [* 145,
        -1
    *], [* 703,
        -1
    *], [* 209,
        1/57*(4*a^5 - 9*a^4 - 2*a^3 + 17*a^2 + 39*a - 76)
    *], [* 469,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 936,
    [ [* 145, -1 *], [* 703, 1 *], [* 209, -1 *], [* 469, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 936,
    [ [* 145, -1 *], [* 703, 1 *], [* 209, -1 *], [* 469, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^288 + x^276 - x^252 - x^240 + x^216 + x^204 - x^180 - x^168 + x^144 - x^120 - 
    x^108 + x^84 + x^72 - x^48 - x^36 + x^12 + 1
);
eps_on_gens:=
[* 937,
    [ [* 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^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:=
[* 937,
    [ [* 5,
        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:=
[* 937,
    [ [* 5,
        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:=
[* 937,
    [ [* 5,
        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:=
[* 937,
    [ [* 5,
        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:=
[* 937,
    [ [* 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:=
[* 938,
    [ [* 337,
        1
    *], [* 269,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 938,
    [ [* 337, 1 *], [* 269, -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:=
[* 938,
    [ [* 337,
        a
    *], [* 269,
        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:=
[* 938,
    [ [* 337,
        a
    *], [* 269,
        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:=
[* 938,
    [ [* 337,
        a
    *], [* 269,
        -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:=
[* 938,
    [ [* 337,
        a^2
    *], [* 269,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
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:=
[* 938,
    [ [* 337,
        a^2
    *], [* 269,
        -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:=
[* 938,
    [ [* 337,
        a^2
    *], [* 269,
        -a^11 + 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:=
[* 938,
    [ [* 337,
        a
    *], [* 269,
        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:=
[* 938,
    [ [* 337,
        a^3
    *], [* 269,
        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:=
[* 938,
    [ [* 337,
        a^6
    *], [* 269,
        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:=
[* 938,
    [ [* 337,
        a^2
    *], [* 269,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 938,
    [ [* 337,
        a
    *], [* 269,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 938,
    [ [* 337,
        a
    *], [* 269,
        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:=
[* 938,
    [ [* 337,
        a
    *], [* 269,
        -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:=
[* 938,
    [ [* 337,
        a - 1
    *], [* 269,
        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:=
[* 938,
    [ [* 337,
        a - 1
    *], [* 269,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 938,
    [ [* 337,
        a - 1
    *], [* 269,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 938,
    [ [* 337, -1 *], [* 269, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 938,
    [ [* 337,
        -1
    *], [* 269,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 939,
    [ [* 10, 1 *], [* 314, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^92 - x^84 - x^80 + x^72 + x^68 - x^60 - x^56 + x^48 - x^40 - x^36 + 
    x^28 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        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:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^44 + x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - x^12 + x^8 - x^4 
    + 1
);
eps_on_gens:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        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:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        -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:=
[* 939,
    [ [* 10,
        a^2
    *], [* 314,
        -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:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        -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:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        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:=
[* 939,
    [ [* 10,
        a^2
    *], [* 314,
        -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:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        -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:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        -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:=
[* 939,
    [ [* 10,
        a
    *], [* 314,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 939,
    [ [* 10,
        a - 1
    *], [* 314,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 939,
    [ [* 10,
        -1
    *], [* 314,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 940,
    [ [* 377, 1 *], [* 381, 1 *], [* 471, -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:=
[* 940,
    [ [* 377,
        a
    *], [* 381,
        1
    *], [* 471,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 940,
    [ [* 377, -1 *], [* 381, 1 *], [* 471, -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:=
[* 940,
    [ [* 377,
        1
    *], [* 381,
        a
    *], [* 471,
        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:=
[* 940,
    [ [* 377,
        a^23
    *], [* 381,
        a^2
    *], [* 471,
        -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:=
[* 940,
    [ [* 377,
        -1
    *], [* 381,
        a
    *], [* 471,
        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:=
[* 940,
    [ [* 377,
        1
    *], [* 381,
        a^2
    *], [* 471,
        -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:=
[* 940,
    [ [* 377,
        a^23
    *], [* 381,
        a^4
    *], [* 471,
        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:=
[* 940,
    [ [* 377,
        -1
    *], [* 381,
        a^2
    *], [* 471,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 940,
    [ [* 377, 1 *], [* 381, -1 *], [* 471, 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:=
[* 940,
    [ [* 377,
        a
    *], [* 381,
        -1
    *], [* 471,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 940,
    [ [* 377, -1 *], [* 381, -1 *], [* 471, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^368 + x^366 - x^358 - x^356 + x^348 + x^346 - x^338 - x^336 + x^328 + x^326 - 
    x^318 - x^316 + x^308 + x^306 - x^298 - x^296 + x^288 + x^286 - x^278 - 
    x^276 - x^274 - x^272 + x^268 + x^266 + x^264 + x^262 - x^258 - x^256 - 
    x^254 - x^252 + x^248 + x^246 + x^244 + x^242 - x^238 - x^236 - x^234 - 
    x^232 + x^228 + x^226 + x^224 + x^222 - x^218 - x^216 - x^214 - x^212 + 
    x^208 + x^206 + x^204 + x^202 - x^198 - x^196 - x^194 - x^192 + x^188 + 
    x^186 + x^184 + x^182 + x^180 - x^176 - x^174 - x^172 - x^170 + x^166 + 
    x^164 + x^162 + x^160 - x^156 - x^154 - x^152 - x^150 + x^146 + x^144 + 
    x^142 + x^140 - x^136 - x^134 - x^132 - x^130 + x^126 + x^124 + x^122 + 
    x^120 - x^116 - x^114 - x^112 - x^110 + x^106 + x^104 + x^102 + x^100 - x^96
    - x^94 - x^92 - x^90 + x^82 + x^80 - x^72 - x^70 + x^62 + x^60 - x^52 - x^50
    + x^42 + x^40 - x^32 - x^30 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 941,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 941,
    [ [* 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:=
[* 941,
    [ [* 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:=
[* 941,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 942,
    [ [* 319, 1 *], [* 629, -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:=
[* 942,
    [ [* 319,
        a
    *], [* 629,
        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:=
[* 942,
    [ [* 319,
        a
    *], [* 629,
        -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:=
[* 942,
    [ [* 319,
        a
    *], [* 629,
        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:=
[* 942,
    [ [* 319,
        a^2
    *], [* 629,
        -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:=
[* 942,
    [ [* 319,
        a
    *], [* 629,
        -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:=
[* 942,
    [ [* 319,
        a^2
    *], [* 629,
        -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:=
[* 942,
    [ [* 319,
        a
    *], [* 629,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 942,
    [ [* 319,
        a
    *], [* 629,
        -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:=
[* 942,
    [ [* 319,
        a
    *], [* 629,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 942,
    [ [* 319,
        a - 1
    *], [* 629,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 942,
    [ [* 319, -1 *], [* 629, -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:=
[* 943,
    [ [* 534,
        a
    *], [* 47,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 943,
    [ [* 534, -1 *], [* 47, 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:=
[* 943,
    [ [* 534,
        1
    *], [* 47,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 + x^156 - x^140 - x^136 + x^120 - x^112 - x^100 + x^92 + x^80 + x^68 - 
    x^60 - x^48 + x^40 - x^24 - x^20 + x^4 + 1
);
eps_on_gens:=
[* 943,
    [ [* 534,
        a^40
    *], [* 47,
        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^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:=
[* 943,
    [ [* 534,
        a^10
    *], [* 47,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 8*x^15 + 37*x^14 + 122*x^13 + 312*x^12 + 650*x^11 + 1133*x^10 + 1676*x^9 
    + 2135*x^8 + 2344*x^7 + 2213*x^6 + 1840*x^5 + 1302*x^4 + 658*x^3 + 187*x^2 +
    22*x + 1
);
eps_on_gens:=
[* 943,
    [ [* 534,
        -1
    *], [* 47,
        1/14306115630301*(-7200272149209*a^15 - 52314665400027*a^14 - 
            228415023197892*a^13 - 713744882184036*a^12 - 1735745637296874*a^11 
            - 3447543368103825*a^10 - 5729088518749872*a^9 - 
            8066092905694116*a^8 - 9793705750219053*a^7 - 10174635376690014*a^6 
            - 9063887380923663*a^5 - 7226112822524586*a^4 - 4643833523459093*a^3
            - 1788251048351112*a^2 - 331652785093326*a - 34052927777818)
    *] ]
*]
;
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:=
[* 943,
    [ [* 534,
        a^5
    *], [* 47,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 5*x^7 + 12*x^6 + 15*x^5 + 9*x^4 + 5*x^3 + 8*x^2 + 5*x + 1
);
eps_on_gens:=
[* 943,
    [ [* 534,
        -1
    *], [* 47,
        1/61*(-96*a^7 - 441*a^6 - 990*a^5 - 1095*a^4 - 524*a^3 - 351*a^2 - 654*a
            - 241)
    *] ]
*]
;
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:=
[* 943,
    [ [* 534,
        1
    *], [* 47,
        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:=
[* 943,
    [ [* 534,
        a^8
    *], [* 47,
        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:=
[* 943,
    [ [* 534,
        a^5
    *], [* 47,
        a^22
    *] ]
*]
;
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:=
[* 943,
    [ [* 534,
        -1
    *], [* 47,
        1/155*(-24*a^7 - 81*a^6 - 234*a^5 - 375*a^4 - 520*a^3 - 459*a^2 - 546*a 
            - 29)
    *] ]
*]
;
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:=
[* 943,
    [ [* 534,
        a^2
    *], [* 47,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 2*x^3 + 2*x^2 - 2*x + 1
);
eps_on_gens:=
[* 943,
    [ [* 534,
        -1
    *], [* 47,
        1/2*(-a^3 - 3*a^2 - 3*a + 1)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 943,
    [ [* 534,
        a
    *], [* 47,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
9
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 943,
    [ [* 534,
        -1
    *], [* 47,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 944,
    [ [* 769, 1 *], [* 709, 1 *], [* 591, -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:=
[* 944,
    [ [* 769,
        1
    *], [* 709,
        a
    *], [* 591,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 944,
    [ [* 769, 1 *], [* 709, -1 *], [* 591, -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:=
[* 944,
    [ [* 769,
        a
    *], [* 709,
        1
    *], [* 591,
        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:=
[* 944,
    [ [* 769,
        a^2
    *], [* 709,
        a^29
    *], [* 591,
        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:=
[* 944,
    [ [* 769,
        a
    *], [* 709,
        -1
    *], [* 591,
        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:=
[* 944,
    [ [* 769,
        a^2
    *], [* 709,
        1
    *], [* 591,
        -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:=
[* 944,
    [ [* 769,
        a^4
    *], [* 709,
        a^29
    *], [* 591,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - 
    x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + 
    x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 944,
    [ [* 769,
        a^2
    *], [* 709,
        -1
    *], [* 591,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 944,
    [ [* 769,
        -1
    *], [* 709,
        1
    *], [* 591,
        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:=
[* 944,
    [ [* 769,
        -1
    *], [* 709,
        1/6*(a^3 + a)
    *], [* 591,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 944,
    [ [* 769, -1 *], [* 709, -1 *], [* 591, 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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        a
    *], [* 136,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        a
    *], [* 136,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 945,
    [ [* 757, 1 *], [* 596, -1 *], [* 136, 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:=
[* 945,
    [ [* 757,
        a
    *], [* 596,
        1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        a^9
    *], [* 596,
        a^4
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        a^3
    *], [* 596,
        a^2 - 1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        a
    *], [* 136,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        a
    *], [* 136,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 945,
    [ [* 757, -1 *], [* 596, -1 *], [* 136, 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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        a^2
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        a^4
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        a - 1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        -a
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        a^9
    *], [* 596,
        a^2
    *], [* 136,
        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^2 + 1
);
eps_on_gens:=
[* 945,
    [ [* 757,
        a^3
    *], [* 596,
        a^2
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        a^9
    *], [* 596,
        a^10
    *], [* 136,
        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^2 + 1
);
eps_on_gens:=
[* 945,
    [ [* 757,
        a^3
    *], [* 596,
        -1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        a^3
    *], [* 596,
        -a^2 + 1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        a^2
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        a^4
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        a - 1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        -a
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        a
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        a
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        a^5
    *], [* 136,
        a^3 - 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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        -1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        -a + 1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        a^3
    *], [* 596,
        1
    *], [* 136,
        a^2 - 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:=
[* 945,
    [ [* 757,
        a^9
    *], [* 596,
        a^4
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        a^9
    *], [* 596,
        a^8
    *], [* 136,
        a^6 - 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:=
[* 945,
    [ [* 757,
        a^3
    *], [* 596,
        a^2 - 1
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        a^3
    *], [* 596,
        -a^2
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        a
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        a
    *], [* 136,
        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:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        a^5
    *], [* 136,
        a^3 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 4*x^7 + 22*x^6 - 40*x^5 + 87*x^4 - 128*x^3 + 130*x^2 - 92*x + 97
);
eps_on_gens:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        -1
    *], [* 136,
        1/25915*(84*a^7 - 514*a^6 + 3184*a^5 - 8873*a^4 + 23272*a^3 - 26994*a^2 
            + 37764*a - 38143)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        -a + 1
    *], [* 136,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 945,
    [ [* 757, 1 *], [* 596, 1 *], [* 136, -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:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        a^2
    *], [* 136,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 945,
    [ [* 757,
        1
    *], [* 596,
        a - 1
    *], [* 136,
        -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:=
[* 945,
    [ [* 757,
        a^9
    *], [* 596,
        a^2
    *], [* 136,
        -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:=
[* 945,
    [ [* 757,
        a^3
    *], [* 596,
        a^2
    *], [* 136,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 945,
    [ [* 757,
        a^2
    *], [* 596,
        -1
    *], [* 136,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 945,
    [ [* 757, -1 *], [* 596, 1 *], [* 136, -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:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        a^2
    *], [* 136,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 945,
    [ [* 757,
        -1
    *], [* 596,
        a - 1
    *], [* 136,
        -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:=
[* 946,
    [ [* 431,
        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:=
[* 946,
    [ [* 431, -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^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 946,
    [ [* 431,
        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^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:=
[* 946,
    [ [* 431,
        a^42
    *], [* 89,
        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^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:=
[* 946,
    [ [* 431,
        a^21
    *], [* 89,
        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^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 946,
    [ [* 431,
        -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^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 946,
    [ [* 431,
        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:=
[* 946,
    [ [* 431,
        a^14
    *], [* 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:=
[* 946,
    [ [* 431,
        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:=
[* 946,
    [ [* 431,
        -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 - x + 1
);
eps_on_gens:=
[* 946,
    [ [* 431,
        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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 946,
    [ [* 431,
        a^6
    *], [* 89,
        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:=
[* 946,
    [ [* 431,
        a^3
    *], [* 89,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 946,
    [ [* 431,
        -1
    *], [* 89,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 946,
    [ [* 431, 1 *], [* 89, -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:=
[* 946,
    [ [* 431,
        a^2
    *], [* 89,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^420 + x^419 - x^409 - x^408 + x^398 + x^397 - x^387 - x^386 - x^377 + x^375 + 
    x^366 - x^364 - x^355 + x^353 + x^344 - x^342 + x^334 + x^331 - x^323 - 
    x^320 + x^312 + x^309 - x^301 - x^298 - x^291 + x^287 + x^280 - x^276 - 
    x^269 + x^265 + x^258 - x^254 + x^248 + x^243 - x^237 - x^232 + x^226 + 
    x^221 - x^215 - x^210 - x^205 + x^199 + x^194 - x^188 - x^183 + x^177 + 
    x^172 - x^166 + x^162 + x^155 - x^151 - x^144 + x^140 + x^133 - x^129 - 
    x^122 - x^119 + x^111 + x^108 - x^100 - x^97 + x^89 + x^86 - x^78 + x^76 + 
    x^67 - x^65 - x^56 + x^54 + x^45 - x^43 - x^34 - x^33 + x^23 + x^22 - x^12 -
    x^11 + x + 1
);
eps_on_gens:=
[* 947,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - 
    x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 +
    x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 -
    x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 947,
    [ [* 2,
        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:=
[* 947,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 947,
    [ [* 2,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 948,
    [ [* 793, 1 *], [* 317, 1 *], [* 475, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 948,
    [ [* 793, 1 *], [* 317, -1 *], [* 475, 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:=
[* 948,
    [ [* 793,
        a
    *], [* 317,
        1
    *], [* 475,
        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:=
[* 948,
    [ [* 793,
        a
    *], [* 317,
        -1
    *], [* 475,
        -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:=
[* 948,
    [ [* 793,
        a^2
    *], [* 317,
        1
    *], [* 475,
        -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:=
[* 948,
    [ [* 793,
        a^2
    *], [* 317,
        -1
    *], [* 475,
        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:=
[* 948,
    [ [* 793,
        a
    *], [* 317,
        1
    *], [* 475,
        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:=
[* 948,
    [ [* 793,
        a
    *], [* 317,
        -1
    *], [* 475,
        -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:=
[* 948,
    [ [* 793,
        a^2
    *], [* 317,
        1
    *], [* 475,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 948,
    [ [* 793,
        a^2
    *], [* 317,
        -1
    *], [* 475,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 948,
    [ [* 793,
        a
    *], [* 317,
        1
    *], [* 475,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 948,
    [ [* 793,
        a
    *], [* 317,
        -1
    *], [* 475,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 948,
    [ [* 793,
        a - 1
    *], [* 317,
        1
    *], [* 475,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^2 + 4
);
eps_on_gens:=
[* 948,
    [ [* 793,
        1/2*(a^2 - 2)
    *], [* 317,
        -1
    *], [* 475,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 948,
    [ [* 793, -1 *], [* 317, 1 *], [* 475, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 948,
    [ [* 793, -1 *], [* 317, -1 *], [* 475, -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:=
[* 949,
    [ [* 443,
        1
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        1
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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^12 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -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^12 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -a^12 + 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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -a^9 + a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -a^4 + 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:=
[* 949,
    [ [* 443,
        a^2
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^2
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^2
    *], [* 366,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -a^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^6 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        a^4
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^4
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^4
    *], [* 366,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^3
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^3
    *], [* 366,
        a^4 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -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:=
[* 949,
    [ [* 443,
        a^2
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^2
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^2
    *], [* 366,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        a^3
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^3
    *], [* 366,
        -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:=
[* 949,
    [ [* 443,
        a
    *], [* 366,
        -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:=
[* 949,
    [ [* 443,
        a^2 - 1
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^2 - 1
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        a^2 - 1
    *], [* 366,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 949,
    [ [* 443,
        -1
    *], [* 366,
        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:=
[* 949,
    [ [* 443,
        -1
    *], [* 366,
        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:=
[* 950,
    [ [* 77,
        a
    *], [* 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:=
[* 950,
    [ [* 77,
        a
    *], [* 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:=
[* 950,
    [ [* 77,
        1
    *], [* 401,
        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:=
[* 950,
    [ [* 77,
        a^9
    *], [* 401,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 950,
    [ [* 77,
        a^18
    *], [* 401,
        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:=
[* 950,
    [ [* 77,
        -1
    *], [* 401,
        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:=
[* 950,
    [ [* 77,
        a^9
    *], [* 401,
        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^6 + 1
);
eps_on_gens:=
[* 950,
    [ [* 77,
        a^9
    *], [* 401,
        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:=
[* 950,
    [ [* 77,
        1
    *], [* 401,
        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:=
[* 950,
    [ [* 77,
        a^3
    *], [* 401,
        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:=
[* 950,
    [ [* 77,
        a^6
    *], [* 401,
        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:=
[* 950,
    [ [* 77,
        -1
    *], [* 401,
        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:=
[* 950,
    [ [* 77,
        a^3
    *], [* 401,
        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:=
[* 950,
    [ [* 77,
        a^3
    *], [* 401,
        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:=
[* 950,
    [ [* 77, 1 *], [* 401, -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:=
[* 950,
    [ [* 77,
        a
    *], [* 401,
        -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:=
[* 950,
    [ [* 77,
        a^2
    *], [* 401,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 950,
    [ [* 77, -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:=
[* 951,
    [ [* 319, 1 *], [* 635, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^156 - x^154 + x^152 - x^150 + x^148 - x^146 + x^144 - x^142 + x^140 - x^138 + 
    x^136 - x^134 + x^132 - x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - 
    x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - x^106 + x^104 - x^102 + 
    x^100 - x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 
    - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58
    + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36
    - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14
    + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 951,
    [ [* 319,
        a
    *], [* 635,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - 
    x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 +
    x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 -
    x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 +
    x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 -
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 +
    x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 951,
    [ [* 319,
        a
    *], [* 635,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - 
    x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 +
    x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 -
    x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 +
    x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 -
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 +
    x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 951,
    [ [* 319,
        a^2
    *], [* 635,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 951,
    [ [* 319,
        a
    *], [* 635,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 951,
    [ [* 319,
        -1
    *], [* 635,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 952,
    [ [* 409, 1 *], [* 785, 1 *], [* 239, -1 *], [* 477, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 952,
    [ [* 409, 1 *], [* 785, 1 *], [* 239, -1 *], [* 477, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 952,
    [ [* 409,
        a
    *], [* 785,
        1
    *], [* 239,
        1
    *], [* 477,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 952,
    [ [* 409,
        a
    *], [* 785,
        1
    *], [* 239,
        1
    *], [* 477,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 952,
    [ [* 409,
        a - 1
    *], [* 785,
        1
    *], [* 239,
        -1
    *], [* 477,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 952,
    [ [* 409,
        a - 1
    *], [* 785,
        1
    *], [* 239,
        -1
    *], [* 477,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 952,
    [ [* 409, -1 *], [* 785, 1 *], [* 239, 1 *], [* 477, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 952,
    [ [* 409, -1 *], [* 785, 1 *], [* 239, 1 *], [* 477, -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:=
[* 952,
    [ [* 409,
        1
    *], [* 785,
        a
    *], [* 239,
        1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        1
    *], [* 785,
        a
    *], [* 239,
        1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        a^8
    *], [* 785,
        a^3
    *], [* 239,
        -1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        a^8
    *], [* 785,
        a^3
    *], [* 239,
        -1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        a^8 - 1
    *], [* 785,
        a^3
    *], [* 239,
        1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        a^8 - 1
    *], [* 785,
        a^3
    *], [* 239,
        1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        -1
    *], [* 785,
        a
    *], [* 239,
        -1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        -1
    *], [* 785,
        a
    *], [* 239,
        -1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        1
    *], [* 785,
        a
    *], [* 239,
        -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:=
[* 952,
    [ [* 409,
        1
    *], [* 785,
        a
    *], [* 239,
        -1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        a^4
    *], [* 785,
        a^3
    *], [* 239,
        1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        a^4
    *], [* 785,
        a^3
    *], [* 239,
        1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        a^4 - 1
    *], [* 785,
        a^3
    *], [* 239,
        -1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        a^4 - 1
    *], [* 785,
        a^3
    *], [* 239,
        -1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        -1
    *], [* 785,
        a
    *], [* 239,
        1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        -1
    *], [* 785,
        a
    *], [* 239,
        1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        1
    *], [* 785,
        a
    *], [* 239,
        -1
    *], [* 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:=
[* 952,
    [ [* 409,
        1
    *], [* 785,
        a
    *], [* 239,
        -1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        a^2
    *], [* 785,
        a^3
    *], [* 239,
        1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        a^2
    *], [* 785,
        a^3
    *], [* 239,
        1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        a^2 - 1
    *], [* 785,
        a^3
    *], [* 239,
        -1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        a^2 - 1
    *], [* 785,
        a^3
    *], [* 239,
        -1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        -1
    *], [* 785,
        a
    *], [* 239,
        1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        -1
    *], [* 785,
        a
    *], [* 239,
        1
    *], [* 477,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 952,
    [ [* 409, 1 *], [* 785, -1 *], [* 239, -1 *], [* 477, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 952,
    [ [* 409, 1 *], [* 785, -1 *], [* 239, -1 *], [* 477, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 952,
    [ [* 409,
        a
    *], [* 785,
        -1
    *], [* 239,
        1
    *], [* 477,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 952,
    [ [* 409,
        a
    *], [* 785,
        -1
    *], [* 239,
        1
    *], [* 477,
        -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:=
[* 952,
    [ [* 409,
        a - 1
    *], [* 785,
        -1
    *], [* 239,
        -1
    *], [* 477,
        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:=
[* 952,
    [ [* 409,
        a - 1
    *], [* 785,
        -1
    *], [* 239,
        -1
    *], [* 477,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 952,
    [ [* 409, -1 *], [* 785, -1 *], [* 239, 1 *], [* 477, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 952,
    [ [* 409,
        -1
    *], [* 785,
        -1
    *], [* 239,
        1
    *], [* 477,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^384 + x^380 - x^356 - x^352 + x^328 + x^324 - x^316 - x^312 - x^300 - x^296 + 
    x^288 + x^284 + x^272 + x^268 - x^260 - x^256 + x^248 - x^240 + x^232 + 
    x^228 - x^220 + x^212 - x^204 - x^200 + x^192 - x^184 - x^180 + x^172 - 
    x^164 + x^156 + x^152 - x^144 + x^136 - x^128 - x^124 + x^116 + x^112 + 
    x^100 + x^96 - x^88 - x^84 - x^72 - x^68 + x^60 + x^56 - x^32 - x^28 + x^4 +
    1
);
eps_on_gens:=
[* 953,
    [ [* 3,
        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:=
[* 953,
    [ [* 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:=
[* 953,
    [ [* 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:=
[* 953,
    [ [* 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:=
[* 954,
    [ [* 425,
        a
    *], [* 55,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 954,
    [ [* 425, -1 *], [* 55, 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:=
[* 954,
    [ [* 425,
        1
    *], [* 55,
        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:=
[* 954,
    [ [* 425,
        a^26 - 1
    *], [* 55,
        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:=
[* 954,
    [ [* 425,
        a^13
    *], [* 55,
        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^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 954,
    [ [* 425,
        -1
    *], [* 55,
        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:=
[* 954,
    [ [* 425,
        a^13
    *], [* 55,
        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^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 954,
    [ [* 425,
        -1
    *], [* 55,
        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:=
[* 954,
    [ [* 425,
        1
    *], [* 55,
        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:=
[* 954,
    [ [* 425,
        a^2 - 1
    *], [* 55,
        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:=
[* 954,
    [ [* 425,
        a
    *], [* 55,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 954,
    [ [* 425, -1 *], [* 55, -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:=
[* 955,
    [ [* 192,
        a
    *], [* 401,
        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:=
[* 955,
    [ [* 192,
        1
    *], [* 401,
        a
    *] ]
*]
;
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:=
[* 955,
    [ [* 192,
        -1
    *], [* 401,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 + x^142 - x^134 - x^132 + x^124 + x^122 - x^114 - x^112 - x^106 + x^102 + 
    x^96 - x^92 - x^86 + x^82 + x^76 - x^72 + x^68 + x^62 - x^58 - x^52 + x^48 +
    x^42 - x^38 - x^32 - x^30 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 955,
    [ [* 192,
        a^95
    *], [* 401,
        a^4
    *] ]
*]
;
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:=
[* 955,
    [ [* 192,
        1
    *], [* 401,
        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:=
[* 955,
    [ [* 192,
        -1
    *], [* 401,
        a
    *] ]
*]
;
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:=
[* 955,
    [ [* 192,
        a^19
    *], [* 401,
        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:=
[* 955,
    [ [* 192,
        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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 955,
    [ [* 192,
        -1
    *], [* 401,
        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:=
[* 955,
    [ [* 192,
        a^5
    *], [* 401,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 955,
    [ [* 192, 1 *], [* 401, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
13
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 955,
    [ [* 192,
        -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:=
[* 956,
    [ [* 485, 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:=
[* 956,
    [ [* 485,
        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:=
[* 956,
    [ [* 485,
        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:=
[* 956,
    [ [* 485,
        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:=
[* 956,
    [ [* 485,
        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:=
[* 956,
    [ [* 485,
        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:=
[* 956,
    [ [* 485,
        a^2
    *], [* 479,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
21
;
C:=Rationals();
eps_on_gens:=
[* 956,
    [ [* 485, -1 *], [* 479, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 957,
    [ [* 871, 1 *], [* 727, 1 *], [* 320, -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:=
[* 957,
    [ [* 871,
        a
    *], [* 727,
        1
    *], [* 320,
        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:=
[* 957,
    [ [* 871,
        a^2
    *], [* 727,
        1
    *], [* 320,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 957,
    [ [* 871, -1 *], [* 727, 1 *], [* 320, 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:=
[* 957,
    [ [* 871,
        1
    *], [* 727,
        a
    *], [* 320,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - 
    x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 957,
    [ [* 871,
        a^14
    *], [* 727,
        a^5
    *], [* 320,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - 
    x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 957,
    [ [* 871,
        a^28
    *], [* 727,
        a^5
    *], [* 320,
        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:=
[* 957,
    [ [* 871,
        -1
    *], [* 727,
        a
    *], [* 320,
        -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:=
[* 957,
    [ [* 871,
        1
    *], [* 727,
        a
    *], [* 320,
        -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:=
[* 957,
    [ [* 871,
        a^7
    *], [* 727,
        a^5
    *], [* 320,
        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:=
[* 957,
    [ [* 871,
        a^14
    *], [* 727,
        a^5
    *], [* 320,
        -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:=
[* 957,
    [ [* 871,
        -1
    *], [* 727,
        a
    *], [* 320,
        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:=
[* 957,
    [ [* 871,
        1
    *], [* 727,
        a^2
    *], [* 320,
        -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:=
[* 957,
    [ [* 871,
        a^7
    *], [* 727,
        a^10
    *], [* 320,
        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:=
[* 957,
    [ [* 871,
        a^14
    *], [* 727,
        a^10
    *], [* 320,
        -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:=
[* 957,
    [ [* 871,
        -1
    *], [* 727,
        a^2
    *], [* 320,
        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:=
[* 957,
    [ [* 871,
        1
    *], [* 727,
        a
    *], [* 320,
        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:=
[* 957,
    [ [* 871,
        a^2
    *], [* 727,
        a^5
    *], [* 320,
        -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:=
[* 957,
    [ [* 871,
        a^4
    *], [* 727,
        a^5
    *], [* 320,
        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:=
[* 957,
    [ [* 871,
        -1
    *], [* 727,
        a
    *], [* 320,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 957,
    [ [* 871, 1 *], [* 727, -1 *], [* 320, -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:=
[* 957,
    [ [* 871,
        a
    *], [* 727,
        -1
    *], [* 320,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
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:=
[* 957,
    [ [* 871,
        1/310*(-43*a^7 - 99*a^6 - 151*a^5 - 25*a^4 - 40*a^3 - 52*a^2 - 911*a - 
            194)
    *], [* 727,
        -1
    *], [* 320,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 957,
    [ [* 871, -1 *], [* 727, -1 *], [* 320, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 958,
    [ [* 13,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
24
;
C:=Rationals();
eps_on_gens:=
[* 958,
    [ [* 13, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 959,
    [ [* 414,
        1
    *], [* 549,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 959,
    [ [* 414, 1 *], [* 549, -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:=
[* 959,
    [ [* 414,
        a
    *], [* 549,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^128 + x^124 - x^116 - x^112 + x^104 + x^100 - x^92 - x^88 + x^80 + x^76 - x^68
    - x^64 - x^60 + x^52 + x^48 - x^40 - x^36 + x^28 + x^24 - x^16 - x^12 + x^4 
    + 1
);
eps_on_gens:=
[* 959,
    [ [* 414,
        a^3
    *], [* 549,
        a^68 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + x^62 - x^58 - x^56 + x^52 + x^50 - x^46 - x^44 + x^40 + x^38 - x^34 - 
    x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 959,
    [ [* 414,
        a^3
    *], [* 549,
        a^34
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - 
    x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 959,
    [ [* 414,
        a
    *], [* 549,
        -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:=
[* 959,
    [ [* 414,
        a^3
    *], [* 549,
        a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + 
    x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 959,
    [ [* 414,
        a
    *], [* 549,
        -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:=
[* 959,
    [ [* 414,
        a^6
    *], [* 549,
        a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + 
    x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 959,
    [ [* 414,
        a^2
    *], [* 549,
        -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:=
[* 959,
    [ [* 414,
        a
    *], [* 549,
        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:=
[* 959,
    [ [* 414,
        a^3
    *], [* 549,
        a^4 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 959,
    [ [* 414,
        a^3
    *], [* 549,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 959,
    [ [* 414,
        a
    *], [* 549,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 959,
    [ [* 414,
        -1
    *], [* 549,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
17
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 959,
    [ [* 414,
        -1
    *], [* 549,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 960,
    [ [* 901, 1 *], [* 511, -1 *], [* 577, 1 *], [* 641, 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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        -1
    *], [* 577,
        1
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        -1
    *], [* 577,
        1
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        -1
    *], [* 577,
        1
    *], [* 641,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 960,
    [ [* 901, -1 *], [* 511, -1 *], [* 577, 1 *], [* 641, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 960,
    [ [* 901, 1 *], [* 511, 1 *], [* 577, 1 *], [* 641, -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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        1
    *], [* 577,
        1
    *], [* 641,
        -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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        1
    *], [* 577,
        1
    *], [* 641,
        -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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        1
    *], [* 577,
        1
    *], [* 641,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 960,
    [ [* 901, -1 *], [* 511, 1 *], [* 577, 1 *], [* 641, -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:=
[* 960,
    [ [* 901,
        1
    *], [* 511,
        1
    *], [* 577,
        a
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        1
    *], [* 577,
        a^4
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        1
    *], [* 577,
        a^2
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        a^3
    *], [* 511,
        1
    *], [* 577,
        a^4
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        1
    *], [* 577,
        a
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        a^3
    *], [* 511,
        1
    *], [* 577,
        a^2
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        -1
    *], [* 511,
        1
    *], [* 577,
        a
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        -a
    *], [* 511,
        1
    *], [* 577,
        a
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        1
    *], [* 511,
        -1
    *], [* 577,
        a
    *], [* 641,
        -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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        -1
    *], [* 577,
        a^4
    *], [* 641,
        -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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        -1
    *], [* 577,
        a^2
    *], [* 641,
        -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:=
[* 960,
    [ [* 901,
        a^3
    *], [* 511,
        -1
    *], [* 577,
        a^4
    *], [* 641,
        -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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        -1
    *], [* 577,
        a
    *], [* 641,
        -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:=
[* 960,
    [ [* 901,
        a^3
    *], [* 511,
        -1
    *], [* 577,
        a^2
    *], [* 641,
        -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:=
[* 960,
    [ [* 901,
        -1
    *], [* 511,
        -1
    *], [* 577,
        1/2*(-a^3 - 5*a)
    *], [* 641,
        -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:=
[* 960,
    [ [* 901,
        -a
    *], [* 511,
        -1
    *], [* 577,
        a
    *], [* 641,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 960,
    [ [* 901, 1 *], [* 511, -1 *], [* 577, -1 *], [* 641, 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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        -1
    *], [* 577,
        -1
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        -1
    *], [* 577,
        -1
    *], [* 641,
        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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        -1
    *], [* 577,
        -1
    *], [* 641,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 960,
    [ [* 901, -1 *], [* 511, -1 *], [* 577, -1 *], [* 641, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 960,
    [ [* 901,
        1
    *], [* 511,
        1
    *], [* 577,
        -1
    *], [* 641,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 16*x^10 + 140*x^8 + 192*x^6 + 128*x^4 - 32*x^2 + 4
);
eps_on_gens:=
[* 960,
    [ [* 901,
        1/4624*(-105*a^14 + 36*a^12 - 58*a^10 - 1596*a^8 - 14078*a^6 - 16328*a^4
            - 12596*a^2 + 5592)
    *], [* 511,
        1
    *], [* 577,
        -1
    *], [* 641,
        -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:=
[* 960,
    [ [* 901,
        a
    *], [* 511,
        1
    *], [* 577,
        -1
    *], [* 641,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 + 6*x^2 + 1
);
eps_on_gens:=
[* 960,
    [ [* 901,
        1/2*(-a^3 - 5*a)
    *], [* 511,
        1
    *], [* 577,
        -1
    *], [* 641,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 960,
    [ [* 901, -1 *], [* 511, 1 *], [* 577, -1 *], [* 641, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 - x^239 + x^238 + x^235 - x^234 + x^233 - x^225 + x^224 - x^223 - x^220 + 
    x^219 - x^218 + x^210 + x^207 + x^205 + x^202 - x^195 - x^192 - x^190 - 
    x^187 + x^180 + x^177 + x^175 + x^172 - x^165 - x^162 - x^160 - x^157 + 
    x^150 + x^146 + x^141 - x^140 - x^135 - x^131 - x^126 + x^125 + x^120 + 
    x^115 - x^114 - x^109 - x^105 - x^100 + x^99 + x^94 + x^90 - x^83 - x^80 - 
    x^78 - x^75 + x^68 + x^65 + x^63 + x^60 - x^53 - x^50 - x^48 - x^45 + x^38 +
    x^35 + x^33 + x^30 - x^22 + x^21 - x^20 - x^17 + x^16 - x^15 + x^7 - x^6 + 
    x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 961,
    [ [* 3,
        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^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:=
[* 961,
    [ [* 3,
        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^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^35 - x^33 - x^32 + 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:=
[* 961,
    [ [* 3,
        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:=
[* 961,
    [ [* 3,
        a
    *] ]
*]
;
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:=
[* 961,
    [ [* 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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 961,
    [ [* 3,
        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:=
[* 961,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 961,
    [ [* 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:=
[* 962,
    [ [* 261,
        1
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        1
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        -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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        -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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        -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:=
[* 962,
    [ [* 261,
        a^2
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a^2
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a^2
    *], [* 223,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        -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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        -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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        -a^2 + 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:=
[* 962,
    [ [* 261,
        a^4
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a^4
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a^4
    *], [* 223,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 962,
    [ [* 261,
        a^2
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a^2
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a^2
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a^3
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a^3
    *], [* 223,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 962,
    [ [* 261,
        a
    *], [* 223,
        -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:=
[* 962,
    [ [* 261,
        a^2 - 1
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a^2 - 1
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        a^2 - 1
    *], [* 223,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 962,
    [ [* 261,
        -1
    *], [* 223,
        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:=
[* 962,
    [ [* 261,
        -1
    *], [* 223,
        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:=
[* 963,
    [ [* 857,
        a
    *], [* 109,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 963,
    [ [* 857, -1 *], [* 109, 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:=
[* 963,
    [ [* 857,
        1
    *], [* 109,
        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:=
[* 963,
    [ [* 857,
        a^53 - 1
    *], [* 109,
        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:=
[* 963,
    [ [* 857,
        a^53
    *], [* 109,
        a^6
    *] ]
*]
;
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:=
[* 963,
    [ [* 857,
        -1
    *], [* 109,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 963,
    [ [* 857, 1 *], [* 109, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 7*x^2 - 6*x + 3
);
eps_on_gens:=
[* 963,
    [ [* 857,
        1/5*(-2*a^3 + 3*a^2 - 10*a + 2)
    *], [* 109,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 964,
    [ [* 489, 1 *], [* 483, -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        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:=
[* 964,
    [ [* 489,
        a^2
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a^2
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a
    *], [* 483,
        -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:=
[* 964,
    [ [* 489,
        a - 1
    *], [* 483,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 964,
    [ [* 489,
        -1
    *], [* 483,
        -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:=
[* 965,
    [ [* 391,
        1
    *], [* 387,
        a
    *] ]
*]
;
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:=
[* 965,
    [ [* 391,
        a
    *], [* 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:=
[* 965,
    [ [* 391,
        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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        a^24
    *] ]
*]
;
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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        -a^24
    *] ]
*]
;
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:=
[* 965,
    [ [* 391,
        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:=
[* 965,
    [ [* 391,
        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 - x^8 + 1
);
eps_on_gens:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        -a^12
    *] ]
*]
;
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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        -a^8
    *] ]
*]
;
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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        -a^6
    *] ]
*]
;
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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        -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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        -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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        -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:=
[* 965,
    [ [* 391,
        a^2
    *], [* 387,
        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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        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:=
[* 965,
    [ [* 391,
        a
    *], [* 387,
        -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:=
[* 965,
    [ [* 391,
        a^2 - 1
    *], [* 387,
        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:=
[* 965,
    [ [* 391,
        -1
    *], [* 387,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 966,
    [ [* 829, 1 *], [* 925, 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:=
[* 966,
    [ [* 829,
        a
    *], [* 925,
        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:=
[* 966,
    [ [* 829,
        a - 1
    *], [* 925,
        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:=
[* 966,
    [ [* 829, -1 *], [* 925, 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:=
[* 966,
    [ [* 829,
        1
    *], [* 925,
        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:=
[* 966,
    [ [* 829,
        a^11
    *], [* 925,
        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:=
[* 966,
    [ [* 829,
        a^11 - 1
    *], [* 925,
        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^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 966,
    [ [* 829,
        -1
    *], [* 925,
        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:=
[* 966,
    [ [* 829,
        1
    *], [* 925,
        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:=
[* 966,
    [ [* 829,
        a^11
    *], [* 925,
        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:=
[* 966,
    [ [* 829,
        a^11 - 1
    *], [* 925,
        a^6
    *], [* 323,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 966,
    [ [* 829,
        -1
    *], [* 925,
        a^2
    *], [* 323,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 966,
    [ [* 829, 1 *], [* 925, -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:=
[* 966,
    [ [* 829,
        a
    *], [* 925,
        -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:=
[* 966,
    [ [* 829,
        a - 1
    *], [* 925,
        -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:=
[* 966,
    [ [* 829, -1 *], [* 925, -1 *], [* 323, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^264 - x^263 + x^262 + x^257 - x^256 + x^255 - x^243 + x^242 - x^240 + x^239 - 
    x^236 + x^235 - x^233 + x^232 + x^222 - x^221 + x^219 - x^218 + x^215 - 
    x^214 + x^212 - x^211 - x^201 + x^200 - x^198 + x^197 - x^195 - x^191 + 
    x^190 - x^188 + x^187 - x^186 + x^180 - x^179 + x^177 - x^176 + x^174 - 
    x^172 + x^171 - x^169 + x^167 - x^166 + x^164 - x^163 - x^159 + x^158 - 
    x^156 + x^155 - x^153 + x^151 - x^150 + x^148 - x^146 + x^145 - x^143 + 
    x^142 + x^138 - x^137 + x^135 - x^134 + x^132 - x^130 + x^129 - x^127 + 
    x^126 + x^122 - x^121 + x^119 - x^118 + x^116 - x^114 + x^113 - x^111 + 
    x^109 - x^108 + x^106 - x^105 - x^101 + x^100 - x^98 + x^97 - x^95 + x^93 - 
    x^92 + x^90 - x^88 + x^87 - x^85 + x^84 - x^78 + x^77 - x^76 + x^74 - x^73 -
    x^69 + x^67 - x^66 + x^64 - x^63 - x^53 + x^52 - x^50 + x^49 - x^46 + x^45 -
    x^43 + x^42 + x^32 - x^31 + x^29 - x^28 + x^25 - x^24 + x^22 - x^21 + x^9 - 
    x^8 + x^7 + x^2 - x + 1
);
eps_on_gens:=
[* 967,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^132 + x^131 - x^125 - x^124 + x^118 + x^117 - x^111 - x^110 - x^109 - x^108 + 
    x^104 + x^103 + x^102 + x^101 - x^97 - x^96 - x^95 - x^94 + x^90 + x^89 + 
    x^88 + x^87 + x^86 + x^85 - x^83 - x^82 - x^81 - x^80 - x^79 - x^78 + x^76 +
    x^75 + x^74 + x^73 + x^72 + x^71 - x^69 - x^68 - x^67 - x^66 - x^65 - x^64 -
    x^63 + x^61 + x^60 + x^59 + x^58 + x^57 + x^56 - x^54 - x^53 - x^52 - x^51 -
    x^50 - x^49 + x^47 + x^46 + x^45 + x^44 + x^43 + x^42 - x^38 - x^37 - x^36 -
    x^35 + x^31 + x^30 + x^29 + x^28 - x^24 - x^23 - x^22 - x^21 + x^15 + x^14 -
    x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 967,
    [ [* 5,
        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:=
[* 967,
    [ [* 5,
        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:=
[* 967,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 967,
    [ [* 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:=
[* 967,
    [ [* 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:=
[* 967,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 967,
    [ [* 5,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 968,
    [ [* 849, 1 *], [* 485, 1 *], [* 727, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 968,
    [ [* 849,
        1
    *], [* 485,
        -1
    *], [* 727,
        -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:=
[* 968,
    [ [* 849,
        a
    *], [* 485,
        1
    *], [* 727,
        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:=
[* 968,
    [ [* 849,
        a
    *], [* 485,
        -1
    *], [* 727,
        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:=
[* 968,
    [ [* 849,
        a^2
    *], [* 485,
        1
    *], [* 727,
        -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^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:=
[* 968,
    [ [* 849,
        a^2
    *], [* 485,
        -1
    *], [* 727,
        -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:=
[* 968,
    [ [* 849,
        a
    *], [* 485,
        1
    *], [* 727,
        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:=
[* 968,
    [ [* 849,
        a
    *], [* 485,
        -1
    *], [* 727,
        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:=
[* 968,
    [ [* 849,
        a^2
    *], [* 485,
        1
    *], [* 727,
        -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:=
[* 968,
    [ [* 849,
        a^2
    *], [* 485,
        -1
    *], [* 727,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 - 2*x^6 + 4*x^4 - 8*x^2 + 16
);
eps_on_gens:=
[* 968,
    [ [* 849,
        1/8*(-a^6 + 2*a^4 - 4*a^2 + 8)
    *], [* 485,
        1
    *], [* 727,
        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:=
[* 968,
    [ [* 849,
        a
    *], [* 485,
        -1
    *], [* 727,
        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:=
[* 968,
    [ [* 849,
        a^2
    *], [* 485,
        1
    *], [* 727,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 968,
    [ [* 849,
        a^2
    *], [* 485,
        -1
    *], [* 727,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 968,
    [ [* 849,
        -1
    *], [* 485,
        1
    *], [* 727,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 968,
    [ [* 849, -1 *], [* 485, -1 *], [* 727, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 969,
    [ [* 343, 1 *], [* 154, 1 *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a
    *], [* 154,
        1
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a
    *], [* 154,
        1
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a
    *], [* 154,
        1
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 969,
    [ [* 343, -1 *], [* 154, 1 *], [* 647, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        1
    *], [* 154,
        a
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^9
    *], [* 154,
        a^8
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^9
    *], [* 154,
        a^4
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^9
    *], [* 154,
        a^2
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        -1
    *], [* 154,
        a
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        1
    *], [* 154,
        a^2
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^24 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^9
    *], [* 154,
        a^16
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^9
    *], [* 154,
        a^8
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^9
    *], [* 154,
        a^4
    *], [* 647,
        -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:=
[* 969,
    [ [* 343,
        -1
    *], [* 154,
        a^2
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        1
    *], [* 154,
        a
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^3
    *], [* 154,
        a^8
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^3
    *], [* 154,
        a^4
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^3
    *], [* 154,
        a^2
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        -1
    *], [* 154,
        a
    *], [* 647,
        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:=
[* 969,
    [ [* 343,
        1
    *], [* 154,
        a - 1
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^3
    *], [* 154,
        a^8 - 1
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^3
    *], [* 154,
        a^4 - 1
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a^3
    *], [* 154,
        a^2 - 1
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        -1
    *], [* 154,
        a - 1
    *], [* 647,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 969,
    [ [* 343, 1 *], [* 154, -1 *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a
    *], [* 154,
        -1
    *], [* 647,
        -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:=
[* 969,
    [ [* 343,
        a
    *], [* 154,
        -1
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 969,
    [ [* 343,
        a
    *], [* 154,
        -1
    *], [* 647,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 969,
    [ [* 343, -1 *], [* 154, -1 *], [* 647, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 970,
    [ [* 781,
        1
    *], [* 777,
        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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        -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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        -a^12
    *] ]
*]
;
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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        -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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        -a^6
    *] ]
*]
;
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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        -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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        -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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        -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:=
[* 970,
    [ [* 781,
        a^2
    *], [* 777,
        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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        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:=
[* 970,
    [ [* 781,
        a
    *], [* 777,
        -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:=
[* 970,
    [ [* 781,
        a^2 - 1
    *], [* 777,
        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:=
[* 970,
    [ [* 781,
        -1
    *], [* 777,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^384 + x^383 - x^379 - x^378 + x^374 + x^373 - x^369 - x^368 + x^364 + x^363 - 
    x^359 - x^358 + x^354 + x^353 - x^349 - x^348 + x^344 + x^343 - x^339 - 
    x^338 + x^334 + x^333 - x^329 - x^328 + x^324 + x^323 - x^319 - x^318 + 
    x^314 + x^313 - x^309 - x^308 + x^304 + x^303 - x^299 - x^298 + x^294 + 
    x^293 - x^289 - x^288 - x^287 - x^286 + x^284 + x^283 + x^282 + x^281 - 
    x^279 - x^278 - x^277 - x^276 + x^274 + x^273 + x^272 + x^271 - x^269 - 
    x^268 - x^267 - x^266 + x^264 + x^263 + x^262 + x^261 - x^259 - x^258 - 
    x^257 - x^256 + x^254 + x^253 + x^252 + x^251 - x^249 - x^248 - x^247 - 
    x^246 + x^244 + x^243 + x^242 + x^241 - x^239 - x^238 - x^237 - x^236 + 
    x^234 + x^233 + x^232 + x^231 - x^229 - x^228 - x^227 - x^226 + x^224 + 
    x^223 + x^222 + x^221 - x^219 - x^218 - x^217 - x^216 + x^214 + x^213 + 
    x^212 + x^211 - x^209 - x^208 - x^207 - x^206 + x^204 + x^203 + x^202 + 
    x^201 - x^199 - x^198 - x^197 - x^196 + x^194 + x^193 + x^192 + x^191 + 
    x^190 - x^188 - x^187 - x^186 - x^185 + x^183 + x^182 + x^181 + x^180 - 
    x^178 - x^177 - x^176 - x^175 + x^173 + x^172 + x^171 + x^170 - x^168 - 
    x^167 - x^166 - x^165 + x^163 + x^162 + x^161 + x^160 - x^158 - x^157 - 
    x^156 - x^155 + x^153 + x^152 + x^151 + x^150 - x^148 - x^147 - x^146 - 
    x^145 + x^143 + x^142 + x^141 + x^140 - x^138 - x^137 - x^136 - x^135 + 
    x^133 + x^132 + x^131 + x^130 - x^128 - x^127 - x^126 - x^125 + x^123 + 
    x^122 + x^121 + x^120 - x^118 - x^117 - x^116 - x^115 + x^113 + x^112 + 
    x^111 + x^110 - x^108 - x^107 - x^106 - x^105 + x^103 + x^102 + x^101 + 
    x^100 - x^98 - x^97 - x^96 - x^95 + x^91 + x^90 - x^86 - x^85 + x^81 + x^80 
    - x^76 - x^75 + x^71 + x^70 - x^66 - x^65 + x^61 + x^60 - x^56 - x^55 + x^51
    + x^50 - x^46 - x^45 + x^41 + x^40 - x^36 - x^35 + x^31 + x^30 - x^26 - x^25
    + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 971,
    [ [* 6,
        a
    *] ]
*]
;
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^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:=
[* 971,
    [ [* 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:=
[* 971,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 971,
    [ [* 6,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 972,
    [ [* 245, 1 *], [* 487, -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:=
[* 972,
    [ [* 245,
        a
    *], [* 487,
        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:=
[* 972,
    [ [* 245,
        a^2
    *], [* 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:=
[* 972,
    [ [* 245,
        a
    *], [* 487,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 972,
    [ [* 245,
        a^2
    *], [* 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:=
[* 972,
    [ [* 245,
        a
    *], [* 487,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 972,
    [ [* 245,
        a^2
    *], [* 487,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
5
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 972,
    [ [* 245,
        a
    *], [* 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:=
[* 972,
    [ [* 245,
        a - 1
    *], [* 487,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 972,
    [ [* 245, -1 *], [* 487, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 973,
    [ [* 141,
        1
    *], [* 696,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 973,
    [ [* 141, 1 *], [* 696, -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:=
[* 973,
    [ [* 141,
        a
    *], [* 696,
        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:=
[* 973,
    [ [* 141,
        a
    *], [* 696,
        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:=
[* 973,
    [ [* 141,
        a
    *], [* 696,
        -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:=
[* 973,
    [ [* 141,
        a^2
    *], [* 696,
        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:=
[* 973,
    [ [* 141,
        a^2
    *], [* 696,
        -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:=
[* 973,
    [ [* 141,
        a^2
    *], [* 696,
        -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:=
[* 973,
    [ [* 141,
        a
    *], [* 696,
        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:=
[* 973,
    [ [* 141,
        a^3
    *], [* 696,
        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:=
[* 973,
    [ [* 141,
        a^6
    *], [* 696,
        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:=
[* 973,
    [ [* 141,
        a^2
    *], [* 696,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 973,
    [ [* 141,
        a
    *], [* 696,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 973,
    [ [* 141,
        a
    *], [* 696,
        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:=
[* 973,
    [ [* 141,
        a
    *], [* 696,
        -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:=
[* 973,
    [ [* 141,
        a - 1
    *], [* 696,
        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:=
[* 973,
    [ [* 141,
        a - 1
    *], [* 696,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 973,
    [ [* 141,
        a - 1
    *], [* 696,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 973,
    [ [* 141, -1 *], [* 696, 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:=
[* 973,
    [ [* 141,
        -1
    *], [* 696,
        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:=
0
;
C<a>:=NumberField(
x^162 - x^81 + 1
);
eps_on_gens:=
[* 974,
    [ [* 3,
        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:=
[* 974,
    [ [* 3,
        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:=
[* 974,
    [ [* 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:=
[* 974,
    [ [* 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:=
[* 974,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 974,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 975,
    [ [* 301, 1 *], [* 352, 1 *], [* 326, -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:=
[* 975,
    [ [* 301,
        1
    *], [* 352,
        a
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        1
    *], [* 352,
        a
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        1
    *], [* 352,
        a^2
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        1
    *], [* 352,
        a
    *], [* 326,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 975,
    [ [* 301, 1 *], [* 352, -1 *], [* 326, -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:=
[* 975,
    [ [* 301,
        a
    *], [* 352,
        1
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        a^5
    *], [* 352,
        a^3
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a^5
    *], [* 352,
        a^6
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        a^5
    *], [* 352,
        a^9
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a^5
    *], [* 352,
        a^12
    *], [* 326,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 2*x^6 - 4*x^5 + 5*x^4 - 8*x^3 + 12*x^2 + 4*x + 1
);
eps_on_gens:=
[* 975,
    [ [* 301,
        1/1575*(-398*a^7 - 107*a^6 + 758*a^5 + 1714*a^4 - 1764*a^3 + 2533*a^2 - 
            2954*a - 1753)
    *], [* 352,
        1/63*(-22*a^7 + 2*a^6 + 40*a^5 + 71*a^4 - 126*a^3 + 197*a^2 - 238*a - 
            32)
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a
    *], [* 352,
        -1
    *], [* 326,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 2*x^6 + 4*x^5 + 5*x^4 + 8*x^3 + 12*x^2 - 4*x + 1
);
eps_on_gens:=
[* 975,
    [ [* 301,
        1/1575*(-398*a^7 + 107*a^6 + 758*a^5 - 1714*a^4 - 1764*a^3 - 2533*a^2 - 
            2954*a + 1753)
    *], [* 352,
        1/63*(22*a^7 + 2*a^6 - 40*a^5 + 71*a^4 + 126*a^3 + 197*a^2 + 238*a - 32)
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a
    *], [* 352,
        1
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a^10
    *], [* 352,
        a^3
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        a^5
    *], [* 352,
        a^3
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a^5
    *], [* 352,
        a^6
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a^2
    *], [* 352,
        a^3
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        -2*a^3 + 3*a^2 - 8*a + 4
    *], [* 352,
        -1
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a
    *], [* 352,
        1
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        a^5
    *], [* 352,
        a
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a^5
    *], [* 352,
        a^2
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        a^5
    *], [* 352,
        a^3
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a^5
    *], [* 352,
        a^4
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        -a^2
    *], [* 352,
        -a^2
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a
    *], [* 352,
        -1
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        a^2
    *], [* 352,
        -a^2
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a - 1
    *], [* 352,
        1
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a^10 - 1
    *], [* 352,
        a^3
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        a^5 - 1
    *], [* 352,
        a^3
    *], [* 326,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 975,
    [ [* 301,
        a^10 - 1
    *], [* 352,
        a^12
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        a^2 - 1
    *], [* 352,
        a^3
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        -2*a^3 + 3*a^2 - 8*a + 3
    *], [* 352,
        -1
    *], [* 326,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 975,
    [ [* 301,
        -1
    *], [* 352,
        1
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        -1
    *], [* 352,
        a
    *], [* 326,
        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:=
[* 975,
    [ [* 301,
        -1
    *], [* 352,
        1/310575*(-24056*a^14 - 91789*a^12 - 273108*a^10 - 725960*a^8 - 
            3494660*a^6 + 1358592*a^4 - 2904112*a^2 + 18216)
    *], [* 326,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 10*x^4 + 25*x^2 + 25
);
eps_on_gens:=
[* 975,
    [ [* 301,
        -1
    *], [* 352,
        1/55*(a^6 - 3*a^4 + 30*a^2 - 10)
    *], [* 326,
        -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:=
[* 975,
    [ [* 301,
        -1
    *], [* 352,
        a
    *], [* 326,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 975,
    [ [* 301,
        -1
    *], [* 352,
        -1
    *], [* 326,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 976,
    [ [* 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^2 + 1
);
eps_on_gens:=
[* 976,
    [ [* 673,
        1
    *], [* 245,
        a
    *], [* 367,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a
    *], [* 245,
        a^15
    *], [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a
    *], [* 245,
        -a^15
    *], [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a^2
    *], [* 245,
        a^15
    *], [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a
    *], [* 245,
        a^5
    *], [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a
    *], [* 245,
        -a^5
    *], [* 367,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 976,
    [ [* 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^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 976,
    [ [* 673,
        a^4
    *], [* 245,
        a^15
    *], [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a
    *], [* 245,
        a^3
    *], [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a
    *], [* 245,
        -a^3
    *], [* 367,
        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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a^2
    *], [* 245,
        a^5
    *], [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a^2
    *], [* 245,
        a^3
    *], [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 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^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 976,
    [ [* 673,
        a^4
    *], [* 245,
        a^5
    *], [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a
    *], [* 245,
        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:=
[* 976,
    [ [* 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:=
[* 976,
    [ [* 673,
        a
    *], [* 245,
        -a
    *], [* 367,
        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:=
[* 976,
    [ [* 673,
        a - 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^4 - x^2 + 1
);
eps_on_gens:=
[* 976,
    [ [* 673,
        a^2 - 1
    *], [* 245,
        a^3
    *], [* 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:=
[* 976,
    [ [* 673,
        a - 1
    *], [* 245,
        -1
    *], [* 367,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 976,
    [ [* 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^2 + 1
);
eps_on_gens:=
[* 976,
    [ [* 673,
        -1
    *], [* 245,
        a
    *], [* 367,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 976,
    [ [* 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^480 - x^472 + x^464 - x^456 + x^448 - x^440 + x^432 - x^424 + x^416 - x^408 + 
    x^400 - x^392 + x^384 - x^376 + x^368 - x^360 + x^352 - x^344 + x^336 - 
    x^328 + x^320 - x^312 + x^304 - x^296 + x^288 - x^280 + x^272 - x^264 + 
    x^256 - x^248 + x^240 - x^232 + x^224 - x^216 + x^208 - x^200 + x^192 - 
    x^184 + 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:=
[* 977,
    [ [* 3,
        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:=
[* 977,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 978,
    [ [* 817, 1 *], [* 653, -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:=
[* 978,
    [ [* 817,
        a
    *], [* 653,
        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:=
[* 978,
    [ [* 817,
        a^2
    *], [* 653,
        -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:=
[* 978,
    [ [* 817,
        a
    *], [* 653,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 978,
    [ [* 817,
        a^2
    *], [* 653,
        -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:=
[* 978,
    [ [* 817,
        a
    *], [* 653,
        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:=
[* 978,
    [ [* 817,
        a^2
    *], [* 653,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 978,
    [ [* 817,
        a
    *], [* 653,
        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:=
[* 978,
    [ [* 817,
        a - 1
    *], [* 653,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 978,
    [ [* 817, -1 *], [* 653, 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:=
[* 979,
    [ [* 90,
        a
    *], [* 804,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 979,
    [ [* 90, -1 *], [* 804, 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:=
[* 979,
    [ [* 90,
        1
    *], [* 804,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 + x^156 - x^140 - x^136 + x^120 - x^112 - x^100 + x^92 + x^80 + x^68 - 
    x^60 - x^48 + x^40 - x^24 - x^20 + x^4 + 1
);
eps_on_gens:=
[* 979,
    [ [* 90,
        a^88
    *], [* 804,
        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^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:=
[* 979,
    [ [* 90,
        a^22
    *], [* 804,
        a^5
    *] ]
*]
;
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:=
[* 979,
    [ [* 90,
        -1
    *], [* 804,
        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:=
[* 979,
    [ [* 90,
        a^11
    *], [* 804,
        a^5
    *] ]
*]
;
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:=
[* 979,
    [ [* 90,
        -1
    *], [* 804,
        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:=
[* 979,
    [ [* 90,
        a^11
    *], [* 804,
        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:=
[* 979,
    [ [* 90,
        -1
    *], [* 804,
        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:=
[* 979,
    [ [* 90,
        1
    *], [* 804,
        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:=
[* 979,
    [ [* 90,
        a^8
    *], [* 804,
        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:=
[* 979,
    [ [* 90,
        a^2
    *], [* 804,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 979,
    [ [* 90,
        -1
    *], [* 804,
        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:=
[* 979,
    [ [* 90,
        a
    *], [* 804,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 979,
    [ [* 90,
        -1
    *], [* 804,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 980,
    [ [* 197, 1 *], [* 101, 1 *], [* 491, -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:=
[* 980,
    [ [* 197,
        1/2*(-a^3 - 5*a)
    *], [* 101,
        1
    *], [* 491,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 980,
    [ [* 197,
        -1
    *], [* 101,
        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:=
[* 980,
    [ [* 197,
        1
    *], [* 101,
        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:=
[* 980,
    [ [* 197,
        a^21
    *], [* 101,
        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:=
[* 980,
    [ [* 197,
        -1
    *], [* 101,
        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:=
[* 980,
    [ [* 197,
        1
    *], [* 101,
        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:=
[* 980,
    [ [* 197,
        a^21
    *], [* 101,
        a^4
    *], [* 491,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 980,
    [ [* 197,
        -1
    *], [* 101,
        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:=
[* 980,
    [ [* 197,
        1
    *], [* 101,
        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:=
[* 980,
    [ [* 197,
        a^7
    *], [* 101,
        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:=
[* 980,
    [ [* 197,
        -1
    *], [* 101,
        a
    *], [* 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:=
[* 980,
    [ [* 197,
        1
    *], [* 101,
        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:=
[* 980,
    [ [* 197,
        a^7
    *], [* 101,
        a^4
    *], [* 491,
        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:=
[* 980,
    [ [* 197,
        -1
    *], [* 101,
        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:=
[* 980,
    [ [* 197,
        1
    *], [* 101,
        a
    *], [* 491,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - 12*x^12 + 140*x^8 - 48*x^4 + 16
);
eps_on_gens:=
[* 980,
    [ [* 197,
        1/80*(3*a^14 - 35*a^10 + 410*a^6 - 4*a^2)
    *], [* 101,
        1/140*(-3*a^12 + 35*a^8 - 420*a^4 + 144)
    *], [* 491,
        -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:=
[* 980,
    [ [* 197,
        -1
    *], [* 101,
        a
    *], [* 491,
        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:=
[* 980,
    [ [* 197,
        1
    *], [* 101,
        a - 1
    *], [* 491,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 6*x^6 + 35*x^4 - 6*x^2 + 1
);
eps_on_gens:=
[* 980,
    [ [* 197,
        1/14*(-6*a^7 + 35*a^5 - 203*a^3 + a)
    *], [* 101,
        1/35*(6*a^6 - 35*a^4 + 210*a^2 - 36)
    *], [* 491,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 980,
    [ [* 197,
        -1
    *], [* 101,
        a - 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:=
[* 980,
    [ [* 197, 1 *], [* 101, -1 *], [* 491, 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:=
[* 980,
    [ [* 197,
        1/8*(-a^6 - 14*a^2)
    *], [* 101,
        -1
    *], [* 491,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 980,
    [ [* 197, -1 *], [* 101, -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 - x + 1
);
eps_on_gens:=
[* 981,
    [ [* 442,
        1
    *], [* 110,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 981,
    [ [* 442, 1 *], [* 110, -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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        -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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        a^9
    *] ]
*]
;
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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        -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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        -a^9 + 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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        -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:=
[* 981,
    [ [* 442,
        a^2
    *], [* 110,
        a^9
    *] ]
*]
;
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:=
[* 981,
    [ [* 442,
        a^2
    *], [* 110,
        -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:=
[* 981,
    [ [* 442,
        a^2
    *], [* 110,
        -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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        a^3
    *] ]
*]
;
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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        -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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        -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 - x^2 + 1
);
eps_on_gens:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        -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:=
[* 981,
    [ [* 442,
        a^2
    *], [* 110,
        a^3
    *] ]
*]
;
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:=
[* 981,
    [ [* 442,
        a^2
    *], [* 110,
        -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:=
[* 981,
    [ [* 442,
        a^2
    *], [* 110,
        -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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        -a + 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:=
[* 981,
    [ [* 442,
        a
    *], [* 110,
        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:=
[* 981,
    [ [* 442,
        a^3
    *], [* 110,
        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:=
[* 981,
    [ [* 442,
        a - 1
    *], [* 110,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - 2*x^2 + 4
);
eps_on_gens:=
[* 981,
    [ [* 442,
        -1/2*a^2
    *], [* 110,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 981,
    [ [* 442,
        a - 1
    *], [* 110,
        -a + 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:=
[* 981,
    [ [* 442,
        -1
    *], [* 110,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 981,
    [ [* 442,
        -1
    *], [* 110,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^168 + x^161 - x^133 - x^126 - x^119 - x^112 + x^98 + x^91 + x^84 + x^77 + x^70
    - x^56 - x^49 - x^42 - x^35 + x^7 + 1
);
eps_on_gens:=
[* 982,
    [ [* 493,
        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:=
[* 982,
    [ [* 493,
        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:=
[* 982,
    [ [* 493,
        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:=
[* 982,
    [ [* 493,
        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:=
[* 982,
    [ [* 493,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 982,
    [ [* 493, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^490 - x^489 + x^488 - x^487 + x^486 - x^485 + x^484 - x^483 + x^482 - x^481 + 
    x^480 - x^479 + x^478 - x^477 + x^476 - x^475 + x^474 - x^473 + x^472 - 
    x^471 + x^470 - x^469 + x^468 - x^467 + x^466 - x^465 + x^464 - x^463 + 
    x^462 - x^461 + x^460 - x^459 + x^458 - x^457 + x^456 - x^455 + x^454 - 
    x^453 + x^452 - x^451 + x^450 - x^449 + x^448 - x^447 + x^446 - x^445 + 
    x^444 - x^443 + x^442 - x^441 + x^440 - x^439 + x^438 - x^437 + x^436 - 
    x^435 + x^434 - x^433 + x^432 - x^431 + x^430 - x^429 + x^428 - x^427 + 
    x^426 - x^425 + x^424 - x^423 + x^422 - x^421 + x^420 - x^419 + x^418 - 
    x^417 + x^416 - x^415 + x^414 - x^413 + x^412 - x^411 + x^410 - x^409 + 
    x^408 - x^407 + x^406 - x^405 + x^404 - x^403 + x^402 - x^401 + x^400 - 
    x^399 + x^398 - x^397 + x^396 - x^395 + x^394 - x^393 + x^392 - x^391 + 
    x^390 - x^389 + x^388 - x^387 + x^386 - x^385 + x^384 - x^383 + x^382 - 
    x^381 + x^380 - x^379 + x^378 - x^377 + x^376 - x^375 + x^374 - x^373 + 
    x^372 - x^371 + x^370 - x^369 + x^368 - x^367 + x^366 - x^365 + x^364 - 
    x^363 + x^362 - x^361 + x^360 - x^359 + x^358 - x^357 + x^356 - x^355 + 
    x^354 - x^353 + x^352 - x^351 + x^350 - x^349 + x^348 - x^347 + x^346 - 
    x^345 + x^344 - x^343 + x^342 - x^341 + x^340 - x^339 + x^338 - x^337 + 
    x^336 - x^335 + x^334 - x^333 + x^332 - x^331 + x^330 - x^329 + x^328 - 
    x^327 + x^326 - x^325 + x^324 - x^323 + x^322 - x^321 + x^320 - x^319 + 
    x^318 - x^317 + x^316 - x^315 + x^314 - x^313 + x^312 - x^311 + x^310 - 
    x^309 + x^308 - x^307 + x^306 - x^305 + x^304 - x^303 + x^302 - x^301 + 
    x^300 - x^299 + x^298 - x^297 + x^296 - x^295 + x^294 - x^293 + x^292 - 
    x^291 + x^290 - x^289 + x^288 - x^287 + x^286 - x^285 + x^284 - x^283 + 
    x^282 - x^281 + x^280 - x^279 + x^278 - x^277 + x^276 - x^275 + x^274 - 
    x^273 + x^272 - x^271 + x^270 - x^269 + x^268 - x^267 + x^266 - x^265 + 
    x^264 - x^263 + x^262 - x^261 + x^260 - x^259 + x^258 - x^257 + x^256 - 
    x^255 + x^254 - x^253 + x^252 - x^251 + x^250 - x^249 + x^248 - x^247 + 
    x^246 - x^245 + x^244 - x^243 + x^242 - x^241 + x^240 - x^239 + x^238 - 
    x^237 + x^236 - x^235 + x^234 - x^233 + x^232 - x^231 + x^230 - x^229 + 
    x^228 - x^227 + x^226 - x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - 
    x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - x^213 + x^212 - x^211 + 
    x^210 - x^209 + x^208 - x^207 + x^206 - x^205 + x^204 - x^203 + x^202 - 
    x^201 + x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + x^194 - x^193 + 
    x^192 - x^191 + x^190 - x^189 + x^188 - x^187 + x^186 - x^185 + x^184 - 
    x^183 + x^182 - x^181 + x^180 - x^179 + x^178 - x^177 + x^176 - x^175 + 
    x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - 
    x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + 
    x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - 
    x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + x^140 - x^139 + 
    x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - 
    x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - x^121 + 
    x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - 
    x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + 
    x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + 
    x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 -
    x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 +
    x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 -
    x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 +
    x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 -
    x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 +
    x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 -
    x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 
    - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 983,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
13
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 983,
    [ [* 5,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 984,
    [ [* 457, 1 *], [* 247, -1 *], [* 329, 1 *], [* 493, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 984,
    [ [* 457, 1 *], [* 247, -1 *], [* 329, 1 *], [* 493, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 984,
    [ [* 457, 1 *], [* 247, 1 *], [* 329, -1 *], [* 493, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 984,
    [ [* 457, 1 *], [* 247, 1 *], [* 329, -1 *], [* 493, -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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        1
    *], [* 329,
        1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        1
    *], [* 329,
        1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        -1
    *], [* 329,
        -1
    *], [* 493,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        -1
    *], [* 329,
        -1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        -1
    *], [* 329,
        1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        -1
    *], [* 329,
        1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        1
    *], [* 329,
        -1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        1
    *], [* 329,
        -1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        -1
    *], [* 329,
        1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        -1
    *], [* 329,
        1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        1
    *], [* 329,
        -1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        1
    *], [* 329,
        -1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        1
    *], [* 329,
        1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        1
    *], [* 329,
        1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        -1
    *], [* 329,
        -1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        -1
    *], [* 329,
        -1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a^2
    *], [* 247,
        -1
    *], [* 329,
        1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a^2
    *], [* 247,
        -1
    *], [* 329,
        1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a^2
    *], [* 247,
        1
    *], [* 329,
        -1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a^2
    *], [* 247,
        1
    *], [* 329,
        -1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        -1
    *], [* 329,
        1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        -1
    *], [* 329,
        1
    *], [* 493,
        -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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        1
    *], [* 329,
        -1
    *], [* 493,
        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:=
[* 984,
    [ [* 457,
        a
    *], [* 247,
        1
    *], [* 329,
        -1
    *], [* 493,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 984,
    [ [* 457, -1 *], [* 247, -1 *], [* 329, 1 *], [* 493, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 984,
    [ [* 457, -1 *], [* 247, -1 *], [* 329, 1 *], [* 493, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 984,
    [ [* 457, -1 *], [* 247, 1 *], [* 329, -1 *], [* 493, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 984,
    [ [* 457,
        -1
    *], [* 247,
        1
    *], [* 329,
        -1
    *], [* 493,
        -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:=
[* 985,
    [ [* 396,
        1
    *], [* 592,
        a
    *] ]
*]
;
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:=
[* 985,
    [ [* 396,
        a
    *], [* 592,
        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:=
[* 985,
    [ [* 396,
        a
    *], [* 592,
        -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:=
[* 985,
    [ [* 396,
        a^2
    *], [* 592,
        a^49
    *] ]
*]
;
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:=
[* 985,
    [ [* 396,
        a^4
    *], [* 592,
        a^49
    *] ]
*]
;
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:=
[* 985,
    [ [* 396,
        a
    *], [* 592,
        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:=
[* 985,
    [ [* 396,
        a
    *], [* 592,
        -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:=
[* 985,
    [ [* 396,
        a^2
    *], [* 592,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 985,
    [ [* 396,
        a^4
    *], [* 592,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 985,
    [ [* 396,
        a
    *], [* 592,
        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:=
[* 985,
    [ [* 396,
        -a^2
    *], [* 592,
        -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:=
[* 985,
    [ [* 396,
        -1
    *], [* 592,
        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:=
[* 986,
    [ [* 205,
        1
    *], [* 581,
        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:=
[* 986,
    [ [* 205,
        a
    *], [* 581,
        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:=
[* 986,
    [ [* 205,
        a^2
    *], [* 581,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 986,
    [ [* 205,
        a
    *], [* 581,
        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^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 986,
    [ [* 205,
        a^2
    *], [* 581,
        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:=
[* 986,
    [ [* 205,
        a
    *], [* 581,
        -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:=
[* 986,
    [ [* 205,
        a
    *], [* 581,
        -a^7
    *] ]
*]
;
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:=
[* 986,
    [ [* 205,
        a^8
    *], [* 581,
        a^7
    *] ]
*]
;
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:=
[* 986,
    [ [* 205,
        a^16
    *], [* 581,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 986,
    [ [* 205,
        a
    *], [* 581,
        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:=
[* 986,
    [ [* 205,
        a^2
    *], [* 581,
        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:=
[* 986,
    [ [* 205,
        a
    *], [* 581,
        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:=
[* 986,
    [ [* 205,
        a^2
    *], [* 581,
        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:=
[* 986,
    [ [* 205,
        a
    *], [* 581,
        -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:=
[* 986,
    [ [* 205,
        a
    *], [* 581,
        -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:=
[* 986,
    [ [* 205,
        -1
    *], [* 581,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 987,
    [ [* 757, 1 *], [* 659, -1 *], [* 283, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 987,
    [ [* 757,
        1
    *], [* 659,
        1
    *], [* 283,
        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:=
[* 987,
    [ [* 757,
        1
    *], [* 659,
        -1
    *], [* 283,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 987,
    [ [* 757, 1 *], [* 659, 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:=
[* 987,
    [ [* 757,
        a
    *], [* 659,
        1
    *], [* 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:=
[* 987,
    [ [* 757,
        a^3
    *], [* 659,
        -1
    *], [* 283,
        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:=
[* 987,
    [ [* 757,
        a^3
    *], [* 659,
        1
    *], [* 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^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:=
[* 987,
    [ [* 757,
        a
    *], [* 659,
        -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:=
[* 987,
    [ [* 757,
        a^2
    *], [* 659,
        -1
    *], [* 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:=
[* 987,
    [ [* 757,
        a^6
    *], [* 659,
        1
    *], [* 283,
        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:=
[* 987,
    [ [* 757,
        a^6
    *], [* 659,
        -1
    *], [* 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^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:=
[* 987,
    [ [* 757,
        a^2
    *], [* 659,
        1
    *], [* 283,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 987,
    [ [* 757, -1 *], [* 659, 1 *], [* 283, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^7 + 5*x^6 - 4*x^5 + 19*x^4 - 14*x^3 + 20*x^2 + 4*x + 1
);
eps_on_gens:=
[* 987,
    [ [* 757,
        -1
    *], [* 659,
        -1
    *], [* 283,
        1/543*(115*a^7 - 135*a^6 + 567*a^5 - 535*a^4 + 2160*a^3 - 2025*a^2 + 
            2180*a + 435)
    *] ]
*]
;
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:=
[* 987,
    [ [* 757,
        -1
    *], [* 659,
        1
    *], [* 283,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 987,
    [ [* 757,
        -1
    *], [* 659,
        -1
    *], [* 283,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 988,
    [ [* 457, 1 *], [* 495, -1 *], [* 781, 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:=
[* 988,
    [ [* 457,
        a
    *], [* 495,
        1
    *], [* 781,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 988,
    [ [* 457,
        a
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a - 1
    *], [* 495,
        -1
    *], [* 781,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 988,
    [ [* 457, -1 *], [* 495, -1 *], [* 781, 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:=
[* 988,
    [ [* 457,
        1
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^3
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^3
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^9
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^3 - 1
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^9 - a^3
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -1
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -a^3
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -a^3 + 1
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        1
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^3
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^3
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^9
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^3 - 1
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^9 - a^3
    *], [* 495,
        1
    *], [* 781,
        a^4
    *] ]
*]
;
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:=
[* 988,
    [ [* 457,
        -1
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -a^3
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -a^3 + 1
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        1
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^3
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a - 1
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^3 - a
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -1
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -a
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -a + 1
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        1
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^3
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a - 1
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        a^3 - a
    *], [* 495,
        1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -1
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -a
    *], [* 495,
        -1
    *], [* 781,
        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:=
[* 988,
    [ [* 457,
        -a + 1
    *], [* 495,
        -1
    *], [* 781,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 988,
    [ [* 457, 1 *], [* 495, 1 *], [* 781, -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:=
[* 988,
    [ [* 457,
        a
    *], [* 495,
        -1
    *], [* 781,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 988,
    [ [* 457,
        a
    *], [* 495,
        1
    *], [* 781,
        -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:=
[* 988,
    [ [* 457,
        a
    *], [* 495,
        -1
    *], [* 781,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 988,
    [ [* 457,
        a - 1
    *], [* 495,
        1
    *], [* 781,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 988,
    [ [* 457,
        -1
    *], [* 495,
        1
    *], [* 781,
        -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:=
[* 989,
    [ [* 603,
        a
    *], [* 691,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 989,
    [ [* 603, -1 *], [* 691, 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:=
[* 989,
    [ [* 603,
        1
    *], [* 691,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 - x^119 + x^118 + x^113 - x^112 + x^111 + x^109 - x^108 + x^107 + x^102 - 
    x^101 + x^100 - x^99 + x^98 - x^97 - x^92 + x^91 - x^90 - x^88 - x^85 - x^81
    - x^77 + x^75 - x^74 + x^71 - x^70 + x^68 + x^64 + x^60 + x^56 + x^52 - x^50
    + x^49 - x^46 + x^45 - x^43 - x^39 - x^35 - x^32 - x^30 + x^29 - x^28 - x^23
    + x^22 - x^21 + x^20 - x^19 + x^18 + x^13 - x^12 + x^11 + x^9 - x^8 + x^7 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 989,
    [ [* 603,
        a^42
    *], [* 691,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 - x^119 + x^118 + x^113 - x^112 + x^111 + x^109 - x^108 + x^107 + x^102 - 
    x^101 + x^100 - x^99 + x^98 - x^97 - x^92 + x^91 - x^90 - x^88 - x^85 - x^81
    - x^77 + x^75 - x^74 + x^71 - x^70 + x^68 + x^64 + x^60 + x^56 + x^52 - x^50
    + x^49 - x^46 + x^45 - x^43 - x^39 - x^35 - x^32 - x^30 + x^29 - x^28 - x^23
    + x^22 - x^21 + x^20 - x^19 + x^18 + x^13 - x^12 + x^11 + x^9 - x^8 + x^7 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 989,
    [ [* 603,
        a^21
    *], [* 691,
        a^22
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 989,
    [ [* 603,
        -1
    *], [* 691,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 989,
    [ [* 603,
        1
    *], [* 691,
        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:=
[* 989,
    [ [* 603,
        a^14
    *], [* 691,
        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:=
[* 989,
    [ [* 603,
        a^7
    *], [* 691,
        a^22
    *] ]
*]
;
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:=
[* 989,
    [ [* 603,
        -1
    *], [* 691,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 989,
    [ [* 603,
        1
    *], [* 691,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^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:=
[* 989,
    [ [* 603,
        a^6
    *], [* 691,
        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:=
[* 989,
    [ [* 603,
        a^3
    *], [* 691,
        a^11 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 989,
    [ [* 603,
        -1
    *], [* 691,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 989,
    [ [* 603, 1 *], [* 691, -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:=
[* 989,
    [ [* 603,
        a^2
    *], [* 691,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 990,
    [ [* 541,
        1
    *], [* 397,
        1
    *], [* 551,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 990,
    [ [* 541, 1 *], [* 397, 1 *], [* 551, -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:=
[* 990,
    [ [* 541,
        1
    *], [* 397,
        a
    *], [* 551,
        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:=
[* 990,
    [ [* 541,
        1
    *], [* 397,
        a^3
    *], [* 551,
        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:=
[* 990,
    [ [* 541,
        1
    *], [* 397,
        -1
    *], [* 551,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 990,
    [ [* 541, 1 *], [* 397, -1 *], [* 551, -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:=
[* 990,
    [ [* 541,
        a
    *], [* 397,
        1
    *], [* 551,
        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:=
[* 990,
    [ [* 541,
        a^3
    *], [* 397,
        1
    *], [* 551,
        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:=
[* 990,
    [ [* 541,
        a^6
    *], [* 397,
        a^15
    *], [* 551,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 990,
    [ [* 541,
        a^2
    *], [* 397,
        a^5
    *], [* 551,
        -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:=
[* 990,
    [ [* 541,
        a
    *], [* 397,
        -1
    *], [* 551,
        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:=
[* 990,
    [ [* 541,
        a^3
    *], [* 397,
        -1
    *], [* 551,
        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:=
[* 990,
    [ [* 541,
        a^6
    *], [* 397,
        1
    *], [* 551,
        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:=
[* 990,
    [ [* 541,
        a^2
    *], [* 397,
        1
    *], [* 551,
        -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:=
[* 990,
    [ [* 541,
        a^4
    *], [* 397,
        a^5
    *], [* 551,
        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:=
[* 990,
    [ [* 541,
        a^12
    *], [* 397,
        a^15
    *], [* 551,
        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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 990,
    [ [* 541,
        a^6
    *], [* 397,
        -1
    *], [* 551,
        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:=
[* 990,
    [ [* 541,
        a^2
    *], [* 397,
        -1
    *], [* 551,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 990,
    [ [* 541, -1 *], [* 397, 1 *], [* 551, 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:=
[* 990,
    [ [* 541,
        -1
    *], [* 397,
        1
    *], [* 551,
        a - 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:=
[* 990,
    [ [* 541,
        -1
    *], [* 397,
        a^3
    *], [* 551,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 990,
    [ [* 541,
        -1
    *], [* 397,
        a
    *], [* 551,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 990,
    [ [* 541, -1 *], [* 397, -1 *], [* 551, 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:=
[* 990,
    [ [* 541,
        -1
    *], [* 397,
        -1
    *], [* 551,
        a - 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^234 + x^225 - x^222 + x^219 + x^207 - x^204 + x^201 - x^195 + 
    2*x^192 - 2*x^189 + x^186 - x^180 + x^177 - x^174 - x^162 + x^159 - x^156 + 
    x^150 - 2*x^147 + 2*x^144 - 2*x^141 + x^138 - x^132 + x^129 - x^126 + x^123 
    - x^120 + x^117 - x^114 + x^111 - x^108 + x^102 - 2*x^99 + 2*x^96 - 2*x^93 +
    x^90 - x^84 + x^81 - x^78 - x^66 + x^63 - x^60 + x^54 - 2*x^51 + 2*x^48 - 
    x^45 + x^39 - x^36 + x^33 + x^21 - x^18 + x^15 + x^6 - x^3 + 1
);
eps_on_gens:=
[* 991,
    [ [* 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^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:=
[* 991,
    [ [* 6,
        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:=
[* 991,
    [ [* 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^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:=
[* 991,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 991,
    [ [* 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^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:=
[* 991,
    [ [* 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:=
[* 991,
    [ [* 6,
        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:=
[* 991,
    [ [* 6,
        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:=
[* 991,
    [ [* 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:=
[* 991,
    [ [* 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:=
[* 991,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 991,
    [ [* 6,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 992,
    [ [* 65, 1 *], [* 869, 1 *], [* 63, -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:=
[* 992,
    [ [* 65,
        1
    *], [* 869,
        a
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        1
    *], [* 869,
        a
    *], [* 63,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 992,
    [ [* 65, 1 *], [* 869, -1 *], [* 63, -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:=
[* 992,
    [ [* 65,
        a
    *], [* 869,
        1
    *], [* 63,
        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:=
[* 992,
    [ [* 65,
        a^4
    *], [* 869,
        a^15
    *], [* 63,
        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:=
[* 992,
    [ [* 65,
        a^2
    *], [* 869,
        a^15
    *], [* 63,
        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:=
[* 992,
    [ [* 65,
        a
    *], [* 869,
        -1
    *], [* 63,
        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:=
[* 992,
    [ [* 65,
        a^2
    *], [* 869,
        1
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        a^8
    *], [* 869,
        a^15
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        a^4
    *], [* 869,
        a^15
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        a^2
    *], [* 869,
        -1
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        a
    *], [* 869,
        1
    *], [* 63,
        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:=
[* 992,
    [ [* 65,
        a^4
    *], [* 869,
        a^5
    *], [* 63,
        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:=
[* 992,
    [ [* 65,
        a^2
    *], [* 869,
        a^5
    *], [* 63,
        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:=
[* 992,
    [ [* 65,
        a
    *], [* 869,
        -1
    *], [* 63,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 992,
    [ [* 65,
        a
    *], [* 869,
        1
    *], [* 63,
        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:=
[* 992,
    [ [* 65,
        a^4
    *], [* 869,
        a^3
    *], [* 63,
        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:=
[* 992,
    [ [* 65,
        a^2
    *], [* 869,
        a^3
    *], [* 63,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 992,
    [ [* 65,
        a
    *], [* 869,
        -1
    *], [* 63,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 992,
    [ [* 65,
        -a^6
    *], [* 869,
        1
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        a^8
    *], [* 869,
        a^5
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        a^4
    *], [* 869,
        a^5
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        a^2
    *], [* 869,
        -1
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        a - 1
    *], [* 869,
        1
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        a^4 - 1
    *], [* 869,
        a^3
    *], [* 63,
        -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:=
[* 992,
    [ [* 65,
        a^2 - 1
    *], [* 869,
        a^3
    *], [* 63,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 992,
    [ [* 65,
        a - 1
    *], [* 869,
        -1
    *], [* 63,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 992,
    [ [* 65, -1 *], [* 869, 1 *], [* 63, 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:=
[* 992,
    [ [* 65,
        -1
    *], [* 869,
        1/210*(-69*a^7 - 38*a^6 + 112*a^5 - 227*a^4 - 227*a^3 + 980*a^2 - 822*a 
            - 23)
    *], [* 63,
        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:=
[* 992,
    [ [* 65,
        -1
    *], [* 869,
        a
    *], [* 63,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
15
;
C:=Rationals();
eps_on_gens:=
[* 992,
    [ [* 65,
        -1
    *], [* 869,
        -1
    *], [* 63,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 993,
    [ [* 334, 1 *], [* 332, -1 *] ]
*]
;
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:=
[* 993,
    [ [* 334,
        a
    *], [* 332,
        1
    *] ]
*]
;
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:=
[* 993,
    [ [* 334,
        a^2
    *], [* 332,
        -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:=
[* 993,
    [ [* 334,
        a
    *], [* 332,
        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:=
[* 993,
    [ [* 334,
        a
    *], [* 332,
        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^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:=
[* 993,
    [ [* 334,
        a^2
    *], [* 332,
        -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:=
[* 993,
    [ [* 334,
        a^2
    *], [* 332,
        -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:=
[* 993,
    [ [* 334,
        a
    *], [* 332,
        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:=
[* 993,
    [ [* 334,
        a
    *], [* 332,
        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:=
[* 993,
    [ [* 334,
        a^2
    *], [* 332,
        -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:=
[* 993,
    [ [* 334,
        a^2
    *], [* 332,
        -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:=
[* 993,
    [ [* 334,
        a
    *], [* 332,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 993,
    [ [* 334,
        a
    *], [* 332,
        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:=
[* 993,
    [ [* 334,
        a^2
    *], [* 332,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 993,
    [ [* 334,
        a - 1
    *], [* 332,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 993,
    [ [* 334, -1 *], [* 332, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 994,
    [ [* 575,
        1
    *], [* 143,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 994,
    [ [* 575, 1 *], [* 143, -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:=
[* 994,
    [ [* 575,
        a
    *], [* 143,
        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:=
[* 994,
    [ [* 575,
        a^3
    *], [* 143,
        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:=
[* 994,
    [ [* 575,
        a^6
    *], [* 143,
        a^35
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8
    - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 994,
    [ [* 575,
        a^2
    *], [* 143,
        -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:=
[* 994,
    [ [* 575,
        a
    *], [* 143,
        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:=
[* 994,
    [ [* 575,
        a^3
    *], [* 143,
        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:=
[* 994,
    [ [* 575,
        a
    *], [* 143,
        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:=
[* 994,
    [ [* 575,
        a^3
    *], [* 143,
        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:=
[* 994,
    [ [* 575,
        a^6
    *], [* 143,
        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:=
[* 994,
    [ [* 575,
        a^2
    *], [* 143,
        -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:=
[* 994,
    [ [* 575,
        a^6
    *], [* 143,
        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:=
[* 994,
    [ [* 575,
        a^2
    *], [* 143,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 994,
    [ [* 575, -1 *], [* 143, 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:=
[* 994,
    [ [* 575,
        -1
    *], [* 143,
        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:=
[* 995,
    [ [* 797,
        a
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        1
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        -1
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        a^99
    *], [* 401,
        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^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:=
[* 995,
    [ [* 797,
        1
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        -1
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        a^33
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        1
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        -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:=
[* 995,
    [ [* 797,
        1
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        -1
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        a^11
    *], [* 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:=
[* 995,
    [ [* 797,
        a^9
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        1
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        -1
    *], [* 401,
        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:=
[* 995,
    [ [* 797,
        a^3
    *], [* 401,
        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:=
[* 995,
    [ [* 797, 1 *], [* 401, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 995,
    [ [* 797,
        -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:=
[* 996,
    [ [* 85, 1 *], [* 665, 1 *], [* 499, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 996,
    [ [* 85, 1 *], [* 665, -1 *], [* 499, 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:=
[* 996,
    [ [* 85,
        a
    *], [* 665,
        1
    *], [* 499,
        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:=
[* 996,
    [ [* 85,
        a
    *], [* 665,
        -1
    *], [* 499,
        -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:=
[* 996,
    [ [* 85,
        a^2
    *], [* 665,
        1
    *], [* 499,
        -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:=
[* 996,
    [ [* 85,
        a^2
    *], [* 665,
        -1
    *], [* 499,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 996,
    [ [* 85, -1 *], [* 665, 1 *], [* 499, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 996,
    [ [* 85, -1 *], [* 665, -1 *], [* 499, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^328 + x^326 - x^322 - x^320 + x^316 + x^314 - x^310 - x^308 + x^304 + x^302 - 
    x^298 - x^296 + x^292 + x^290 - x^286 - x^284 + x^280 + x^278 - x^274 - 
    x^272 + x^268 + x^266 - x^262 - x^260 + x^256 + x^254 - x^250 - x^248 + 
    x^244 + x^242 - x^238 - x^236 + x^232 + x^230 - x^226 - x^224 + x^220 + 
    x^218 - x^214 - x^212 + x^208 + x^206 - x^202 - x^200 + x^196 + x^194 - 
    x^190 - x^188 + x^184 + x^182 - x^178 - x^176 + x^172 + x^170 - x^166 - 
    x^164 - x^162 + x^158 + x^156 - x^152 - x^150 + x^146 + x^144 - x^140 - 
    x^138 + x^134 + x^132 - x^128 - x^126 + x^122 + x^120 - x^116 - x^114 + 
    x^110 + x^108 - x^104 - x^102 + x^98 + x^96 - x^92 - x^90 + x^86 + x^84 - 
    x^80 - x^78 + x^74 + x^72 - x^68 - x^66 + x^62 + x^60 - x^56 - x^54 + x^50 +
    x^48 - x^44 - x^42 + x^38 + x^36 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 +
    x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 997,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 997,
    [ [* 7,
        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:=
[* 997,
    [ [* 7,
        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:=
[* 997,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^164 + x^163 - x^161 - x^160 + x^158 + x^157 - x^155 - x^154 + x^152 + x^151 - 
    x^149 - x^148 + x^146 + x^145 - x^143 - x^142 + x^140 + x^139 - x^137 - 
    x^136 + x^134 + x^133 - x^131 - x^130 + x^128 + x^127 - x^125 - x^124 + 
    x^122 + x^121 - x^119 - x^118 + x^116 + x^115 - x^113 - x^112 + x^110 + 
    x^109 - x^107 - x^106 + x^104 + x^103 - x^101 - x^100 + x^98 + x^97 - x^95 -
    x^94 + x^92 + x^91 - x^89 - x^88 + x^86 + x^85 - x^83 - 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:=
[* 998,
    [ [* 7,
        a
    *] ]
*]
;
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:=
[* 998,
    [ [* 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:=
[* 998,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 998,
    [ [* 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^3 + 1
);
eps_on_gens:=
[* 999,
    [ [* 298,
        1
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        1
    *], [* 704,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 999,
    [ [* 298, 1 *], [* 704, -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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        a^4 - 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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -a^5 + 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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a^3
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a^3
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a^2
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a^2
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a^2
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a^2
    *], [* 704,
        a^4 - 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:=
[* 999,
    [ [* 298,
        a^2
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a^2
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a^2
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a^2
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a^2
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a^3
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a^3
    *], [* 704,
        a^5
    *] ]
*]
;
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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        a
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a^9
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a^3
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a^3 - 1
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a - 1
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        a^3 - 1
    *], [* 704,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
7
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 999,
    [ [* 298,
        a - 1
    *], [* 704,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 999,
    [ [* 298,
        a - 1
    *], [* 704,
        -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:=
[* 999,
    [ [* 298,
        -1
    *], [* 704,
        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:=
[* 999,
    [ [* 298,
        -1
    *], [* 704,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 999,
    [ [* 298,
        -1
    *], [* 704,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1000,
    [ [* 377, 1 *], [* 501, 1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1000,
    [ [* 377,
        1
    *], [* 501,
        -1
    *], [* 751,
        -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:=
[* 1000,
    [ [* 377,
        a
    *], [* 501,
        1
    *], [* 751,
        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:=
[* 1000,
    [ [* 377,
        a
    *], [* 501,
        -1
    *], [* 751,
        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:=
[* 1000,
    [ [* 377,
        a
    *], [* 501,
        1
    *], [* 751,
        -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:=
[* 1000,
    [ [* 377,
        a
    *], [* 501,
        -1
    *], [* 751,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1000,
    [ [* 377,
        a^2
    *], [* 501,
        1
    *], [* 751,
        -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:=
[* 1000,
    [ [* 377,
        a^2
    *], [* 501,
        -1
    *], [* 751,
        -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:=
[* 1000,
    [ [* 377,
        a
    *], [* 501,
        1
    *], [* 751,
        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:=
[* 1000,
    [ [* 377,
        a
    *], [* 501,
        -1
    *], [* 751,
        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:=
[* 1000,
    [ [* 377,
        a
    *], [* 501,
        1
    *], [* 751,
        -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:=
[* 1000,
    [ [* 377,
        a
    *], [* 501,
        -1
    *], [* 751,
        -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:=
[* 1000,
    [ [* 377,
        a^2
    *], [* 501,
        1
    *], [* 751,
        -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:=
[* 1000,
    [ [* 377,
        a^2
    *], [* 501,
        -1
    *], [* 751,
        -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:=
[* 1000,
    [ [* 377,
        a
    *], [* 501,
        1
    *], [* 751,
        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:=
[* 1000,
    [ [* 377,
        a
    *], [* 501,
        -1
    *], [* 751,
        1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1000,
    [ [* 377, -1 *], [* 501, 1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1000,
    [ [* 377,
        -1
    *], [* 501,
        -1
    *], [* 751,
        -1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
