Qx<x>:=PolynomialRing(Rationals());
dimensions_list:=[**];
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^480 + x^470 - x^430 - x^420 + x^380 + x^370 - x^350 - x^340 - x^330 - x^320 + x^300 + x^290 + x^280 + x^270 - x^250 - x^240 - x^230 +
    x^210 + x^200 + x^190 + x^180 - x^160 - x^150 - x^140 - x^130 + x^110 + x^100 - x^60 - x^50 + x^10 + 1
);
eps_on_gens:=
[* 1301,
    [ [* 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^86 - x^84 + x^76 + x^74 - x^70 - x^68 - x^66 - x^64 + x^60 + x^58 + x^56 + x^54 - x^50 - x^48 - x^46 + x^42 + x^40 + 
    x^38 + x^36 - x^32 - x^30 - x^28 - x^26 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1301,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1301,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1301,
    [ [* 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:=
[* 1301,
    [ [* 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:=
[* 1301,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1302,
    [ [* 127, 1 *], [* 745, 1 *], [* 869, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127, 1 *], [* 745,
        a
    *], [* 869, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127, 1 *], [* 745,
        a - 1
    *], [* 869, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1302,
    [ [* 127, 1 *], [* 745, -1 *], [* 869, 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:=
[* 1302,
    [ [* 127,
        a
    *], [* 745, 1 *], [* 869, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a
    *], [* 745,
        a^5
    *], [* 869, -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:=
[* 1302,
    [ [* 127,
        a
    *], [* 745,
        a^5 - 1
    *], [* 869, 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:=
[* 1302,
    [ [* 127,
        a
    *], [* 745, -1 *], [* 869, -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:=
[* 1302,
    [ [* 127,
        a
    *], [* 745,
        -a^5
    *], [* 869, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a
    *], [* 745,
        -a^5 + 1
    *], [* 869, -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:=
[* 1302,
    [ [* 127,
        a^2
    *], [* 745, 1 *], [* 869, -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:=
[* 1302,
    [ [* 127,
        a^2
    *], [* 745,
        a^5
    *], [* 869, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a^2
    *], [* 745,
        a^5 - 1
    *], [* 869, -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:=
[* 1302,
    [ [* 127,
        a^2
    *], [* 745, -1 *], [* 869, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a^2
    *], [* 745,
        -a^5
    *], [* 869, -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:=
[* 1302,
    [ [* 127,
        a^2
    *], [* 745,
        -a^5 + 1
    *], [* 869, 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:=
[* 1302,
    [ [* 127,
        a
    *], [* 745, 1 *], [* 869, 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:=
[* 1302,
    [ [* 127,
        a^3
    *], [* 745,
        a^5
    *], [* 869, -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:=
[* 1302,
    [ [* 127,
        a^3
    *], [* 745,
        a^5 - 1
    *], [* 869, 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:=
[* 1302,
    [ [* 127,
        a
    *], [* 745, -1 *], [* 869, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a
    *], [* 745, 1 *], [* 869, 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:=
[* 1302,
    [ [* 127,
        a
    *], [* 745,
        a
    *], [* 869, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a
    *], [* 745,
        a - 1
    *], [* 869, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a
    *], [* 745, -1 *], [* 869, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a
    *], [* 745,
        -a
    *], [* 869, 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:=
[* 1302,
    [ [* 127,
        a
    *], [* 745,
        -a + 1
    *], [* 869, -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:=
[* 1302,
    [ [* 127,
        a^2
    *], [* 745, 1 *], [* 869, -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:=
[* 1302,
    [ [* 127,
        a^6
    *], [* 745,
        a^5
    *], [* 869, 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:=
[* 1302,
    [ [* 127,
        a^6
    *], [* 745,
        a^5 - 1
    *], [* 869, -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:=
[* 1302,
    [ [* 127,
        a^2
    *], [* 745, -1 *], [* 869, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a - 1
    *], [* 745, 1 *], [* 869, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a - 1
    *], [* 745,
        a
    *], [* 869, 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:=
[* 1302,
    [ [* 127,
        a - 1
    *], [* 745,
        a - 1
    *], [* 869, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a - 1
    *], [* 745, -1 *], [* 869, 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:=
[* 1302,
    [ [* 127,
        a - 1
    *], [* 745,
        -a
    *], [* 869, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127,
        a - 1
    *], [* 745,
        -a + 1
    *], [* 869, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1302,
    [ [* 127, -1 *], [* 745, 1 *], [* 869, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127, -1 *], [* 745,
        a
    *], [* 869, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1302,
    [ [* 127, -1 *], [* 745,
        a - 1
    *], [* 869, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1302,
    [ [* 127, -1 *], [* 745, -1 *], [* 869, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^360 - x^359 + x^358 + x^353 - x^352 + x^351 - x^339 + x^338 - x^337 - x^332 + x^331 - x^330 + x^329 - x^328 + x^327 + x^322 - x^321 +
    x^320 + x^318 - x^317 + x^316 + x^311 - x^310 + x^309 - x^308 + x^307 - x^306 - x^301 + x^300 - x^299 - x^297 + x^296 - x^295 - 
    x^290 + x^289 - x^288 + x^287 - x^286 + x^285 + x^280 - x^279 + x^278 + x^276 - x^275 + x^274 + x^269 - x^268 - x^264 - x^260 - 
    x^257 - x^255 + x^254 - x^253 - x^248 + x^247 + x^243 + x^239 + x^235 - x^233 + x^232 - x^229 + x^228 - x^226 - x^222 - x^218 - 
    x^214 + x^212 - x^211 + x^208 - x^207 + x^205 + x^201 + x^197 + x^193 - x^191 + x^190 - x^187 + x^186 - x^184 - x^180 - x^176 + 
    x^174 - x^173 + x^170 - x^169 + x^167 + x^163 + x^159 + x^155 - x^153 + x^152 - x^149 + x^148 - x^146 - x^142 - x^138 - x^134 + 
    x^132 - x^131 + x^128 - x^127 + x^125 + x^121 + x^117 + x^113 - x^112 - x^107 + x^106 - x^105 - x^103 - x^100 - x^96 - x^92 + x^91 
    + x^86 - x^85 + x^84 + x^82 - x^81 + x^80 + x^75 - x^74 + x^73 - x^72 + x^71 - x^70 - x^65 + x^64 - x^63 - x^61 + x^60 - x^59 - 
    x^54 + x^53 - x^52 + x^51 - x^50 + x^49 + x^44 - x^43 + x^42 + x^40 - x^39 + x^38 + x^33 - x^32 + x^31 - x^30 + x^29 - x^28 - x^23 
    + x^22 - x^21 + x^9 - x^8 + x^7 + x^2 - x + 1
);
eps_on_gens:=
[* 1303,
    [ [* 6,
        a
    *] ]
*]
;
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^173 - x^172 + x^166 + x^165 - x^159 - x^158 + x^152 + x^151 - x^149 - x^148 - x^145 - x^144 + x^142 + x^141 + x^138 +
    x^137 - x^135 - x^134 - x^131 - x^130 + x^128 + x^127 + x^124 + x^123 - x^121 - x^120 + x^118 - x^116 + x^114 + x^113 - x^111 + 
    x^109 - x^107 - x^106 + x^104 - x^102 + x^100 + x^99 - x^97 + x^95 - x^93 - x^92 + x^90 - x^88 - x^87 + x^85 - x^83 + x^81 + x^80 -
    x^78 + x^76 - x^74 - x^73 + x^71 - x^69 + x^67 + x^66 - x^64 + x^62 - x^60 - x^59 + x^57 + x^56 + x^53 + x^52 - x^50 - x^49 - x^46 
    - x^45 + x^43 + x^42 + x^39 + x^38 - x^36 - x^35 - x^32 - x^31 + x^29 + x^28 - x^22 - x^21 + x^15 + x^14 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 1303,
    [ [* 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^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:=
[* 1303,
    [ [* 6,
        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:=
[* 1303,
    [ [* 6,
        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:=
[* 1303,
    [ [* 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^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1303,
    [ [* 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:=
[* 1303,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1303,
    [ [* 6, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1304,
    [ [* 817, 1 *], [* 653, 1 *], [* 327, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1304,
    [ [* 817, 1 *], [* 653, -1 *], [* 327, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^54 - x^27 + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a
    *], [* 653, 1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^54 - x^27 + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a
    *], [* 653, -1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^54 - x^27 + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a^2
    *], [* 653, 1 *], [* 327, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^54 - x^27 + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a^2
    *], [* 653, -1 *], [* 327, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a
    *], [* 653, 1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a
    *], [* 653, -1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a^2
    *], [* 653, 1 *], [* 327, -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:=
[* 1304,
    [ [* 817,
        a^2
    *], [* 653, -1 *], [* 327, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a
    *], [* 653, 1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a
    *], [* 653, -1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a^2
    *], [* 653, 1 *], [* 327, -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:=
[* 1304,
    [ [* 817,
        a^2
    *], [* 653, -1 *], [* 327, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a
    *], [* 653, 1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a
    *], [* 653, -1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1304,
    [ [* 817,
        a - 1
    *], [* 653, 1 *], [* 327, -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:=
[* 1304,
    [ [* 817,
        a - 1
    *], [* 653, -1 *], [* 327, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1304,
    [ [* 817, -1 *], [* 653, 1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1304,
    [ [* 817, -1 *], [* 653, -1 *], [* 327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901, 1 *], [* 262, 1 *], [* 146,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1305,
    [ [* 901, 1 *], [* 262, 1 *], [* 146, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901, 1 *], [* 262,
        a
    *], [* 146, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901, 1 *], [* 262,
        a^3
    *], [* 146,
        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:=
[* 1305,
    [ [* 901, 1 *], [* 262, -1 *], [* 146,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1305,
    [ [* 901, 1 *], [* 262, -1 *], [* 146, -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:=
[* 1305,
    [ [* 901,
        a
    *], [* 262, 1 *], [* 146, 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:=
[* 1305,
    [ [* 901,
        a^3
    *], [* 262, 1 *], [* 146,
        a^14 - 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:=
[* 1305,
    [ [* 901,
        a^3
    *], [* 262,
        a^21
    *], [* 146,
        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^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901,
        a
    *], [* 262,
        a^7
    *], [* 146, -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:=
[* 1305,
    [ [* 901,
        a
    *], [* 262, -1 *], [* 146, 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:=
[* 1305,
    [ [* 901,
        a^3
    *], [* 262, -1 *], [* 146,
        a^14 - 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:=
[* 1305,
    [ [* 901,
        a^3
    *], [* 262,
        -a^21
    *], [* 146,
        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^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901,
        a
    *], [* 262,
        -a^7
    *], [* 146, -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:=
[* 1305,
    [ [* 901,
        a^3
    *], [* 262, 1 *], [* 146,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901,
        a
    *], [* 262, 1 *], [* 146, -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:=
[* 1305,
    [ [* 901,
        a^2
    *], [* 262,
        a^7
    *], [* 146, 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:=
[* 1305,
    [ [* 901,
        a^6
    *], [* 262,
        a^21
    *], [* 146,
        a^14 - 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:=
[* 1305,
    [ [* 901,
        a^3
    *], [* 262, -1 *], [* 146,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901,
        a
    *], [* 262, -1 *], [* 146, -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:=
[* 1305,
    [ [* 901,
        a^6
    *], [* 262, 1 *], [* 146,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901,
        a^2
    *], [* 262, 1 *], [* 146, -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:=
[* 1305,
    [ [* 901,
        a^4
    *], [* 262,
        a^7
    *], [* 146, 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:=
[* 1305,
    [ [* 901,
        a^12
    *], [* 262,
        a^21
    *], [* 146,
        a^14 - 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:=
[* 1305,
    [ [* 901,
        a^6
    *], [* 262, -1 *], [* 146,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901,
        a^2
    *], [* 262, -1 *], [* 146, -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:=
[* 1305,
    [ [* 901,
        a
    *], [* 262, 1 *], [* 146, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901,
        a^3
    *], [* 262, 1 *], [* 146,
        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:=
[* 1305,
    [ [* 901,
        a^3
    *], [* 262,
        a^3
    *], [* 146,
        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:=
[* 1305,
    [ [* 901,
        a
    *], [* 262,
        a
    *], [* 146, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901,
        a
    *], [* 262, -1 *], [* 146, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901,
        a^3
    *], [* 262, -1 *], [* 146,
        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:=
[* 1305,
    [ [* 901,
        a^3
    *], [* 262,
        -a^3
    *], [* 146,
        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:=
[* 1305,
    [ [* 901,
        a
    *], [* 262,
        -a
    *], [* 146, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901, -1 *], [* 262, 1 *], [* 146,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1305,
    [ [* 901, -1 *], [* 262, 1 *], [* 146, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901, -1 *], [* 262,
        a
    *], [* 146, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1305,
    [ [* 901, -1 *], [* 262,
        a^3
    *], [* 146,
        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:=
[* 1305,
    [ [* 901, -1 *], [* 262, -1 *], [* 146,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1305,
    [ [* 901, -1 *], [* 262, -1 *], [* 146, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^324 - x^322 + x^320 - x^318 + x^316 - x^314 + x^312 - x^310 + x^308 - x^306 + x^304 - x^302 + x^300 - x^298 + x^296 - x^294 + x^292 -
    x^290 + x^288 - x^286 + x^284 - x^282 + x^280 - x^278 + x^276 - x^274 + x^272 - x^270 + x^268 - x^266 + x^264 - x^262 + x^260 - 
    x^258 + x^256 - x^254 + x^252 - x^250 + x^248 - x^246 + x^244 - x^242 + x^240 - x^238 + x^236 - x^234 + x^232 - x^230 + x^228 - 
    x^226 + x^224 - x^222 + x^220 - x^218 + x^216 - x^214 + x^212 - x^210 + x^208 - x^206 + x^204 - x^202 + x^200 - x^198 + x^196 - 
    x^194 + x^192 - x^190 + x^188 - x^186 + x^184 - x^182 + x^180 - x^178 + x^176 - x^174 + x^172 - x^170 + x^168 - x^166 + x^164 - 
    x^162 + x^160 - x^158 + x^156 - x^154 + x^152 - x^150 + x^148 - x^146 + x^144 - x^142 + x^140 - x^138 + x^136 - x^134 + x^132 - 
    x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - x^106 + x^104 - x^102 + x^100 - 
    x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 
    + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + 
    x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1306,
    [ [* 655,
        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:=
[* 1306,
    [ [* 655,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^652 - x^651 + x^650 - x^649 + x^648 - x^647 + x^646 - x^645 + x^644 - x^643 + x^642 - x^641 + x^640 - x^639 + x^638 - x^637 + x^636 -
    x^635 + x^634 - x^633 + x^632 - x^631 + x^630 - x^629 + x^628 - x^627 + x^626 - x^625 + x^624 - x^623 + x^622 - x^621 + x^620 - 
    x^619 + x^618 - x^617 + x^616 - x^615 + x^614 - x^613 + x^612 - x^611 + x^610 - x^609 + x^608 - x^607 + x^606 - x^605 + x^604 - 
    x^603 + x^602 - x^601 + x^600 - x^599 + x^598 - x^597 + x^596 - x^595 + x^594 - x^593 + x^592 - x^591 + x^590 - x^589 + x^588 - 
    x^587 + x^586 - x^585 + x^584 - x^583 + x^582 - x^581 + x^580 - x^579 + x^578 - x^577 + x^576 - x^575 + x^574 - x^573 + x^572 - 
    x^571 + x^570 - x^569 + x^568 - x^567 + x^566 - x^565 + x^564 - x^563 + x^562 - x^561 + x^560 - x^559 + x^558 - x^557 + x^556 - 
    x^555 + x^554 - x^553 + x^552 - x^551 + x^550 - x^549 + x^548 - x^547 + x^546 - x^545 + x^544 - x^543 + x^542 - x^541 + x^540 - 
    x^539 + x^538 - x^537 + x^536 - x^535 + x^534 - x^533 + x^532 - x^531 + x^530 - x^529 + x^528 - x^527 + x^526 - x^525 + x^524 - 
    x^523 + x^522 - x^521 + x^520 - x^519 + x^518 - x^517 + x^516 - x^515 + x^514 - x^513 + x^512 - x^511 + x^510 - x^509 + x^508 - 
    x^507 + x^506 - x^505 + x^504 - x^503 + x^502 - x^501 + x^500 - x^499 + x^498 - x^497 + x^496 - x^495 + x^494 - x^493 + x^492 - 
    x^491 + x^490 - x^489 + x^488 - x^487 + x^486 - x^485 + x^484 - x^483 + x^482 - x^481 + x^480 - x^479 + x^478 - x^477 + x^476 - 
    x^475 + x^474 - x^473 + x^472 - x^471 + x^470 - x^469 + x^468 - x^467 + x^466 - x^465 + x^464 - x^463 + x^462 - x^461 + x^460 - 
    x^459 + x^458 - x^457 + x^456 - x^455 + x^454 - x^453 + x^452 - x^451 + x^450 - x^449 + x^448 - x^447 + x^446 - x^445 + x^444 - 
    x^443 + x^442 - x^441 + x^440 - x^439 + x^438 - x^437 + x^436 - x^435 + x^434 - x^433 + x^432 - x^431 + x^430 - x^429 + x^428 - 
    x^427 + x^426 - x^425 + x^424 - x^423 + x^422 - x^421 + x^420 - x^419 + x^418 - x^417 + x^416 - x^415 + x^414 - x^413 + x^412 - 
    x^411 + x^410 - x^409 + x^408 - x^407 + x^406 - x^405 + x^404 - x^403 + x^402 - x^401 + x^400 - x^399 + x^398 - x^397 + x^396 - 
    x^395 + x^394 - x^393 + x^392 - x^391 + x^390 - x^389 + x^388 - x^387 + x^386 - x^385 + x^384 - x^383 + x^382 - x^381 + x^380 - 
    x^379 + x^378 - x^377 + x^376 - x^375 + x^374 - x^373 + x^372 - x^371 + x^370 - x^369 + x^368 - x^367 + x^366 - x^365 + x^364 - 
    x^363 + x^362 - x^361 + x^360 - x^359 + x^358 - x^357 + x^356 - x^355 + x^354 - x^353 + x^352 - x^351 + x^350 - x^349 + x^348 - 
    x^347 + x^346 - x^345 + x^344 - x^343 + x^342 - x^341 + x^340 - x^339 + x^338 - x^337 + x^336 - x^335 + x^334 - x^333 + x^332 - 
    x^331 + x^330 - x^329 + x^328 - x^327 + x^326 - x^325 + x^324 - x^323 + x^322 - x^321 + x^320 - x^319 + x^318 - x^317 + x^316 - 
    x^315 + x^314 - x^313 + x^312 - x^311 + x^310 - x^309 + x^308 - x^307 + x^306 - x^305 + x^304 - x^303 + x^302 - x^301 + x^300 - 
    x^299 + x^298 - x^297 + x^296 - x^295 + x^294 - x^293 + x^292 - x^291 + x^290 - x^289 + x^288 - x^287 + x^286 - x^285 + x^284 - 
    x^283 + x^282 - x^281 + x^280 - x^279 + x^278 - x^277 + x^276 - x^275 + x^274 - x^273 + x^272 - x^271 + x^270 - x^269 + x^268 - 
    x^267 + x^266 - x^265 + x^264 - x^263 + x^262 - x^261 + x^260 - x^259 + x^258 - x^257 + x^256 - x^255 + x^254 - x^253 + x^252 - 
    x^251 + x^250 - x^249 + x^248 - x^247 + x^246 - x^245 + x^244 - x^243 + x^242 - x^241 + x^240 - x^239 + x^238 - x^237 + x^236 - 
    x^235 + x^234 - x^233 + x^232 - x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - 
    x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - x^213 + x^212 - x^211 + x^210 - x^209 + x^208 - x^207 + x^206 - x^205 + x^204 - 
    x^203 + x^202 - x^201 + x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + x^194 - x^193 + x^192 - x^191 + x^190 - x^189 + x^188 - 
    x^187 + x^186 - x^185 + x^184 - x^183 + x^182 - x^181 + x^180 - x^179 + x^178 - x^177 + x^176 - x^175 + x^174 - x^173 + x^172 - 
    x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + x^156 - 
    x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + x^140 - 
    x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - 
    x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - 
    x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90
    - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - 
    x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 
    + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + 
    x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 
    - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1307,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1307,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 769,
        a
    *], [* 437, 1 *], [* 655, -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:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 769,
        a^2
    *], [* 437, 1 *], [* 655, -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:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 769,
        a
    *], [* 437, 1 *], [* 655, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 769,
        a^2
    *], [* 437, 1 *], [* 655, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 769,
        a
    *], [* 437, 1 *], [* 655, -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:=
[* 1308,
    [ [* 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:=
[* 1308,
    [ [* 769,
        a
    *], [* 437, 1 *], [* 655, 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:=
[* 1308,
    [ [* 769,
        a^2
    *], [* 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:=
[* 1308,
    [ [* 769,
        a - 1
    *], [* 437, 1 *], [* 655, -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:=
[* 1308,
    [ [* 769,
        a - 1
    *], [* 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:=
[* 1308,
    [ [* 769, -1 *], [* 437, 1 *], [* 655, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
15
;
C:=Rationals();
eps_on_gens:=
[* 1308,
    [ [* 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:=
[* 1309,
    [ [* 1123,
        a
    *], [* 309, 1 *], [* 596, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1309,
    [ [* 1123, -1 *], [* 309, 1 *], [* 596, 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:=
[* 1309,
    [ [* 1123, 1 *], [* 309, 1 *], [* 596,
        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:=
[* 1309,
    [ [* 1123,
        a^5 - 1
    *], [* 309, 1 *], [* 596,
        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:=
[* 1309,
    [ [* 1123,
        a^5
    *], [* 309, 1 *], [* 596,
        a^6
    *] ]
*]
;
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:=
[* 1309,
    [ [* 1123, -1 *], [* 309, 1 *], [* 596,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1309,
    [ [* 1123, 1 *], [* 309, 1 *], [* 596, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1309,
    [ [* 1123,
        a - 1
    *], [* 309, 1 *], [* 596, -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:=
[* 1309,
    [ [* 1123, 1 *], [* 309,
        a
    *], [* 596, 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:=
[* 1309,
    [ [* 1123,
        a^8 - 1
    *], [* 309,
        a^3
    *], [* 596, 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:=
[* 1309,
    [ [* 1123,
        a^40
    *], [* 309,
        a^15
    *], [* 596,
        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^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1309,
    [ [* 1123, -1 *], [* 309,
        a^5
    *], [* 596,
        a^8
    *] ]
*]
;
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:=
[* 1309,
    [ [* 1123, 1 *], [* 309,
        a^5
    *], [* 596,
        a^16
    *] ]
*]
;
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:=
[* 1309,
    [ [* 1123,
        a^40 - 1
    *], [* 309,
        a^15
    *], [* 596,
        a^48
    *] ]
*]
;
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:=
[* 1309,
    [ [* 1123,
        a^8
    *], [* 309,
        a^3
    *], [* 596, -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:=
[* 1309,
    [ [* 1123, -1 *], [* 309,
        a
    *], [* 596, -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:=
[* 1309,
    [ [* 1123,
        a^4
    *], [* 309,
        a^3
    *], [* 596, 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:=
[* 1309,
    [ [* 1123, -1 *], [* 309,
        a
    *], [* 596, 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:=
[* 1309,
    [ [* 1123, 1 *], [* 309,
        a^5
    *], [* 596,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1309,
    [ [* 1123,
        a^20 - 1
    *], [* 309,
        a^15
    *], [* 596,
        a^12
    *] ]
*]
;
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:=
[* 1309,
    [ [* 1123,
        a^20
    *], [* 309,
        a^15
    *], [* 596,
        a^24
    *] ]
*]
;
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:=
[* 1309,
    [ [* 1123, -1 *], [* 309,
        a^5
    *], [* 596,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1309,
    [ [* 1123, 1 *], [* 309,
        a
    *], [* 596, -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:=
[* 1309,
    [ [* 1123,
        a^4 - 1
    *], [* 309,
        a^3
    *], [* 596, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1309,
    [ [* 1123,
        a^2
    *], [* 309,
        a^3
    *], [* 596, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1309,
    [ [* 1123, -1 *], [* 309,
        a
    *], [* 596, 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:=
[* 1309,
    [ [* 1123, 1 *], [* 309,
        a^5
    *], [* 596,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1309,
    [ [* 1123,
        a^10 - 1
    *], [* 309,
        a^15
    *], [* 596,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1309,
    [ [* 1123,
        a^10
    *], [* 309,
        a^15
    *], [* 596,
        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:=
[* 1309,
    [ [* 1123, -1 *], [* 309,
        a^5
    *], [* 596,
        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:=
[* 1309,
    [ [* 1123, 1 *], [* 309,
        a
    *], [* 596, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1309,
    [ [* 1123,
        a^2 - 1
    *], [* 309,
        a^3
    *], [* 596, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1309,
    [ [* 1123,
        a
    *], [* 309, -1 *], [* 596, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1309,
    [ [* 1123, -1 *], [* 309, -1 *], [* 596, 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:=
[* 1309,
    [ [* 1123, 1 *], [* 309, -1 *], [* 596,
        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:=
[* 1309,
    [ [* 1123,
        a^5 - 1
    *], [* 309, -1 *], [* 596,
        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:=
[* 1309,
    [ [* 1123,
        a^5
    *], [* 309, -1 *], [* 596,
        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:=
[* 1309,
    [ [* 1123, -1 *], [* 309, -1 *], [* 596,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1309,
    [ [* 1123, 1 *], [* 309, -1 *], [* 596, -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:=
[* 1309,
    [ [* 1123,
        a - 1
    *], [* 309, -1 *], [* 596, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1310,
    [ [* 787,
        a
    *], [* 1181, 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:=
[* 1310,
    [ [* 787, 1 *], [* 1181,
        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:=
[* 1310,
    [ [* 787, -1 *], [* 1181,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^94 - x^86 - x^84 + x^76 + x^74 - x^70 - x^68 - x^66 - x^64 + x^60 + x^58 + x^56 + x^54 - x^50 - x^48 - x^46 + x^42 + x^40 + 
    x^38 + x^36 - x^32 - x^30 - x^28 - x^26 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1310,
    [ [* 787,
        a^65
    *], [* 1181,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1310,
    [ [* 787, 1 *], [* 1181,
        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:=
[* 1310,
    [ [* 787, -1 *], [* 1181,
        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:=
[* 1310,
    [ [* 787,
        a^13
    *], [* 1181,
        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:=
[* 1310,
    [ [* 787, 1 *], [* 1181,
        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:=
[* 1310,
    [ [* 787, -1 *], [* 1181,
        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:=
[* 1310,
    [ [* 787,
        a^5
    *], [* 1181,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1310,
    [ [* 787, 1 *], [* 1181, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 1310,
    [ [* 787, -1 *], [* 1181, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1311,
    [ [* 553, 1 *], [* 856, 1 *], [* 875, -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:=
[* 1311,
    [ [* 553,
        a
    *], [* 856, 1 *], [* 875, 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:=
[* 1311,
    [ [* 553,
        a^2
    *], [* 856, 1 *], [* 875, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1311,
    [ [* 553,
        a
    *], [* 856, 1 *], [* 875, 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:=
[* 1311,
    [ [* 553,
        a - 1
    *], [* 856, 1 *], [* 875, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1311,
    [ [* 553, -1 *], [* 856, 1 *], [* 875, 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:=
[* 1311,
    [ [* 553, 1 *], [* 856,
        a
    *], [* 875, 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:=
[* 1311,
    [ [* 553,
        a^11
    *], [* 856,
        a^9
    *], [* 875, -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:=
[* 1311,
    [ [* 553,
        a^22
    *], [* 856,
        a^9
    *], [* 875, 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:=
[* 1311,
    [ [* 553,
        a^11
    *], [* 856,
        a^3
    *], [* 875, -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:=
[* 1311,
    [ [* 553,
        a^11 - 1
    *], [* 856,
        a^3
    *], [* 875, 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:=
[* 1311,
    [ [* 553, -1 *], [* 856,
        a
    *], [* 875, -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:=
[* 1311,
    [ [* 553, 1 *], [* 856,
        a^2
    *], [* 875, -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:=
[* 1311,
    [ [* 553,
        a^11
    *], [* 856,
        a^18
    *], [* 875, 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:=
[* 1311,
    [ [* 553,
        a^22
    *], [* 856,
        a^18
    *], [* 875, -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:=
[* 1311,
    [ [* 553,
        a^11
    *], [* 856,
        a^6
    *], [* 875, 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:=
[* 1311,
    [ [* 553,
        a^11 - 1
    *], [* 856,
        a^6
    *], [* 875, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1311,
    [ [* 553, -1 *], [* 856,
        a^2
    *], [* 875, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1311,
    [ [* 553, 1 *], [* 856, -1 *], [* 875, 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:=
[* 1311,
    [ [* 553,
        a
    *], [* 856, -1 *], [* 875, -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:=
[* 1311,
    [ [* 553,
        a^2
    *], [* 856, -1 *], [* 875, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1311,
    [ [* 553,
        a
    *], [* 856, -1 *], [* 875, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1311,
    [ [* 553,
        a - 1
    *], [* 856, -1 *], [* 875, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1311,
    [ [* 553, -1 *], [* 856, -1 *], [* 875, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1312,
    [ [* 129, 1 *], [* 165, 1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129, 1 *], [* 165,
        a
    *], [* 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:=
[* 1312,
    [ [* 129, 1 *], [* 165,
        a
    *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1312,
    [ [* 129, 1 *], [* 165, -1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165, 1 *], [* 575, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        a^5
    *], [* 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:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        a^10
    *], [* 575, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        a^15
    *], [* 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:=
[* 1312,
    [ [* 129,
        a
    *], [* 165, -1 *], [* 575, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        -a^5
    *], [* 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:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        -a^10
    *], [* 575, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        -a^15
    *], [* 575, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165, 1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a^2
    *], [* 165,
        a^5
    *], [* 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:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        a^5
    *], [* 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:=
[* 1312,
    [ [* 129,
        a^2
    *], [* 165,
        a^15
    *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165, -1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        -a^5
    *], [* 575, -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:=
[* 1312,
    [ [* 129,
        a
    *], [* 165, 1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a^4
    *], [* 165,
        a^5
    *], [* 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:=
[* 1312,
    [ [* 129,
        a^2
    *], [* 165,
        a^5
    *], [* 575, -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:=
[* 1312,
    [ [* 129,
        a
    *], [* 165, -1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165, 1 *], [* 575, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        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:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        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^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        a^3
    *], [* 575, 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:=
[* 1312,
    [ [* 129,
        a
    *], [* 165, -1 *], [* 575, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        -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:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        -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^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        -a^3
    *], [* 575, 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:=
[* 1312,
    [ [* 129,
        a^2
    *], [* 165, 1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a^8
    *], [* 165,
        a^5
    *], [* 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:=
[* 1312,
    [ [* 129,
        a^4
    *], [* 165,
        a^5
    *], [* 575, -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:=
[* 1312,
    [ [* 129,
        a^2
    *], [* 165, -1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165, 1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a^2
    *], [* 165,
        a
    *], [* 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:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        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:=
[* 1312,
    [ [* 129,
        a^2
    *], [* 165,
        a^3
    *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165, -1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129,
        a
    *], [* 165,
        -a
    *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 1312,
    [ [* 129, -1 *], [* 165, 1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129, -1 *], [* 165,
        a
    *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1312,
    [ [* 129, -1 *], [* 165,
        a
    *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 1312,
    [ [* 129, -1 *], [* 165, -1 *], [* 575, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1313,
    [ [* 405,
        a
    *], [* 911, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1313,
    [ [* 405,
        a
    *], [* 911, 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:=
[* 1313,
    [ [* 405, 1 *], [* 911,
        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:=
[* 1313,
    [ [* 405,
        a^50
    *], [* 911,
        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^70 - x^50 - x^40 - x^30 + x^10 + 1
);
eps_on_gens:=
[* 1313,
    [ [* 405,
        a^50 - 1
    *], [* 911,
        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^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1313,
    [ [* 405, -1 *], [* 911,
        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:=
[* 1313,
    [ [* 405,
        a^25
    *], [* 911,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1313,
    [ [* 405,
        a^25
    *], [* 911,
        a^2
    *] ]
*]
;
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:=
[* 1313,
    [ [* 405,
        a^25
    *], [* 911,
        a^12
    *] ]
*]
;
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:=
[* 1313,
    [ [* 405,
        a^25
    *], [* 911,
        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:=
[* 1313,
    [ [* 405, 1 *], [* 911,
        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:=
[* 1313,
    [ [* 405,
        a^10
    *], [* 911,
        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:=
[* 1313,
    [ [* 405,
        a^10 - 1
    *], [* 911,
        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:=
[* 1313,
    [ [* 405, -1 *], [* 911,
        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:=
[* 1313,
    [ [* 405,
        a^5
    *], [* 911,
        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:=
[* 1313,
    [ [* 405,
        a^5
    *], [* 911,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1313,
    [ [* 405,
        a^5
    *], [* 911,
        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:=
[* 1313,
    [ [* 405,
        a^5
    *], [* 911,
        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:=
[* 1313,
    [ [* 405, 1 *], [* 911,
        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:=
[* 1313,
    [ [* 405,
        a^2
    *], [* 911,
        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:=
[* 1313,
    [ [* 405,
        a^2 - 1
    *], [* 911,
        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:=
[* 1313,
    [ [* 405, -1 *], [* 911,
        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:=
[* 1313,
    [ [* 405,
        a
    *], [* 911, -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:=
[* 1313,
    [ [* 405,
        a
    *], [* 911, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027, 1 *], [* 731,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1314,
    [ [* 1027, 1 *], [* 731, -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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731, 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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        -a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731, -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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        -a^6 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731, 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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        -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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731, -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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        a^2
    *] ]
*]
;
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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        -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:=
[* 1314,
    [ [* 1027,
        a^2
    *], [* 731,
        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:=
[* 1314,
    [ [* 1027,
        a^2
    *], [* 731, -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:=
[* 1314,
    [ [* 1027,
        a^2
    *], [* 731,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731, 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:=
[* 1314,
    [ [* 1027,
        a^3
    *], [* 731,
        a^4 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731,
        -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:=
[* 1314,
    [ [* 1027,
        a^3
    *], [* 731,
        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:=
[* 1314,
    [ [* 1027,
        a
    *], [* 731, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027,
        a - 1
    *], [* 731,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027,
        a - 1
    *], [* 731, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1314,
    [ [* 1027,
        a - 1
    *], [* 731,
        -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:=
[* 1314,
    [ [* 1027, -1 *], [* 731,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1314,
    [ [* 1027, -1 *], [* 731, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1315,
    [ [* 527,
        a
    *], [* 531, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 -
    x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 
    + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + 
    x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 
    - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - 
    x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 
    + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - 
    x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1315,
    [ [* 527, 1 *], [* 531,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 -
    x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 
    + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + 
    x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 
    - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - 
    x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 
    + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - 
    x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1315,
    [ [* 527, -1 *], [* 531,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^260 - x^258 + x^256 - x^254 + x^252 - x^250 + x^248 - x^246 + x^244 - x^242 + x^240 - x^238 + x^236 - x^234 + x^232 - x^230 + x^228 -
    x^226 + x^224 - x^222 + x^220 - x^218 + x^216 - x^214 + x^212 - x^210 + x^208 - x^206 + x^204 - x^202 + x^200 - x^198 + x^196 - 
    x^194 + x^192 - x^190 + x^188 - x^186 + x^184 - x^182 + x^180 - x^178 + x^176 - x^174 + x^172 - x^170 + x^168 - x^166 + x^164 - 
    x^162 + x^160 - x^158 + x^156 - x^154 + x^152 - x^150 + x^148 - x^146 + x^144 - x^142 + x^140 - x^138 + x^136 - x^134 + x^132 - 
    x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - x^106 + x^104 - x^102 + x^100 - 
    x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 
    + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + 
    x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1315,
    [ [* 527,
        a^131
    *], [* 531,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1315,
    [ [* 527, 1 *], [* 531, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1315,
    [ [* 527, -1 *], [* 531, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1316,
    [ [* 757, 1 *], [* 659, -1 *], [* 941, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1316,
    [ [* 757, 1 *], [* 659, 1 *], [* 941,
        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:=
[* 1316,
    [ [* 757, 1 *], [* 659, -1 *], [* 941,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1316,
    [ [* 757, 1 *], [* 659, 1 *], [* 941, -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:=
[* 1316,
    [ [* 757,
        a
    *], [* 659, 1 *], [* 941, 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:=
[* 1316,
    [ [* 757,
        a^3
    *], [* 659, -1 *], [* 941,
        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:=
[* 1316,
    [ [* 757,
        a^3
    *], [* 659, 1 *], [* 941,
        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:=
[* 1316,
    [ [* 757,
        a
    *], [* 659, -1 *], [* 941, -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:=
[* 1316,
    [ [* 757,
        a^2
    *], [* 659, -1 *], [* 941, 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:=
[* 1316,
    [ [* 757,
        a^6
    *], [* 659, 1 *], [* 941,
        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:=
[* 1316,
    [ [* 757,
        a^6
    *], [* 659, -1 *], [* 941,
        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:=
[* 1316,
    [ [* 757,
        a^2
    *], [* 659, 1 *], [* 941, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1316,
    [ [* 757, -1 *], [* 659, 1 *], [* 941, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 3*x^7 + x^6 - 6*x^5 - x^4 + 12*x^3 + 14*x^2 + 6*x + 1
);
eps_on_gens:=
[* 1316,
    [ [* 757, -1 *], [* 659, -1 *], [* 941,
        1/61*(-85*a^7 - 215*a^6 + 9*a^5 + 495*a^4 - 130*a^3 - 905*a^2 - 800*a - 173)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
15
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1316,
    [ [* 757, -1 *], [* 659, 1 *], [* 941,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
18
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1316,
    [ [* 757, -1 *], [* 659, -1 *], [* 941, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1317,
    [ [* 454, 1 *], [* 440, -1 *] ]
*]
;
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:=
[* 1317,
    [ [* 454,
        a
    *], [* 440, 1 *] ]
*]
;
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:=
[* 1317,
    [ [* 454,
        a^2
    *], [* 440, -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:=
[* 1317,
    [ [* 454,
        a
    *], [* 440, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 1317,
    [ [* 454,
        a^2
    *], [* 440, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1317,
    [ [* 454,
        a
    *], [* 440, 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:=
[* 1317,
    [ [* 454,
        a^2 - 1
    *], [* 440, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 1317,
    [ [* 454, -1 *], [* 440, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^276 + x^275 - x^269 - x^268 + x^262 + x^261 - x^255 - x^254 + x^248 + x^247 - x^241 - x^240 + x^234 + x^233 - x^229 - x^228 - x^227 -
    x^226 + x^222 + x^221 + x^220 + x^219 - x^215 - x^214 - x^213 - x^212 + x^208 + x^207 + x^206 + x^205 - x^201 - x^200 - x^199 - 
    x^198 + x^194 + x^193 + x^192 + x^191 - x^187 - x^186 - x^185 - x^184 + x^182 + x^181 + x^180 + x^179 + x^178 + x^177 - x^175 - 
    x^174 - x^173 - x^172 - x^171 - x^170 + x^168 + x^167 + x^166 + x^165 + x^164 + x^163 - x^161 - x^160 - x^159 - x^158 - x^157 - 
    x^156 + x^154 + x^153 + x^152 + x^151 + x^150 + x^149 - x^147 - x^146 - x^145 - x^144 - x^143 - x^142 + x^140 + x^139 + x^138 + 
    x^137 + x^136 - x^134 - x^133 - x^132 - x^131 - x^130 - x^129 + x^127 + x^126 + x^125 + x^124 + x^123 + x^122 - x^120 - x^119 - 
    x^118 - x^117 - x^116 - x^115 + x^113 + x^112 + x^111 + x^110 + x^109 + x^108 - x^106 - x^105 - x^104 - x^103 - x^102 - x^101 + 
    x^99 + x^98 + x^97 + x^96 + x^95 + x^94 - x^92 - x^91 - x^90 - x^89 + x^85 + x^84 + x^83 + x^82 - x^78 - x^77 - x^76 - x^75 + x^71 
    + x^70 + x^69 + x^68 - x^64 - x^63 - x^62 - x^61 + x^57 + x^56 + x^55 + x^54 - x^50 - x^49 - x^48 - x^47 + x^43 + x^42 - x^36 - 
    x^35 + x^29 + x^28 - x^22 - x^21 + x^15 + x^14 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 1318,
    [ [* 661,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - 
    x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 +
    x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1318,
    [ [* 661,
        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:=
[* 1318,
    [ [* 661,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 1318,
    [ [* 661, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^658 - x^657 + x^656 - x^655 + x^654 - x^653 + x^652 - x^651 + x^650 - x^649 + x^648 - x^647 + x^646 - x^645 + x^644 - x^643 + x^642 -
    x^641 + x^640 - x^639 + x^638 - x^637 + x^636 - x^635 + x^634 - x^633 + x^632 - x^631 + x^630 - x^629 + x^628 - x^627 + x^626 - 
    x^625 + x^624 - x^623 + x^622 - x^621 + x^620 - x^619 + x^618 - x^617 + x^616 - x^615 + x^614 - x^613 + x^612 - x^611 + x^610 - 
    x^609 + x^608 - x^607 + x^606 - x^605 + x^604 - x^603 + x^602 - x^601 + x^600 - x^599 + x^598 - x^597 + x^596 - x^595 + x^594 - 
    x^593 + x^592 - x^591 + x^590 - x^589 + x^588 - x^587 + x^586 - x^585 + x^584 - x^583 + x^582 - x^581 + x^580 - x^579 + x^578 - 
    x^577 + x^576 - x^575 + x^574 - x^573 + x^572 - x^571 + x^570 - x^569 + x^568 - x^567 + x^566 - x^565 + x^564 - x^563 + x^562 - 
    x^561 + x^560 - x^559 + x^558 - x^557 + x^556 - x^555 + x^554 - x^553 + x^552 - x^551 + x^550 - x^549 + x^548 - x^547 + x^546 - 
    x^545 + x^544 - x^543 + x^542 - x^541 + x^540 - x^539 + x^538 - x^537 + x^536 - x^535 + x^534 - x^533 + x^532 - x^531 + x^530 - 
    x^529 + x^528 - x^527 + x^526 - x^525 + x^524 - x^523 + x^522 - x^521 + x^520 - x^519 + x^518 - x^517 + x^516 - x^515 + x^514 - 
    x^513 + x^512 - x^511 + x^510 - x^509 + x^508 - x^507 + x^506 - x^505 + x^504 - x^503 + x^502 - x^501 + x^500 - x^499 + x^498 - 
    x^497 + x^496 - x^495 + x^494 - x^493 + x^492 - x^491 + x^490 - x^489 + x^488 - x^487 + x^486 - x^485 + x^484 - x^483 + x^482 - 
    x^481 + x^480 - x^479 + x^478 - x^477 + x^476 - x^475 + x^474 - x^473 + x^472 - x^471 + x^470 - x^469 + x^468 - x^467 + x^466 - 
    x^465 + x^464 - x^463 + x^462 - x^461 + x^460 - x^459 + x^458 - x^457 + x^456 - x^455 + x^454 - x^453 + x^452 - x^451 + x^450 - 
    x^449 + x^448 - x^447 + x^446 - x^445 + x^444 - x^443 + x^442 - x^441 + x^440 - x^439 + x^438 - x^437 + x^436 - x^435 + x^434 - 
    x^433 + x^432 - x^431 + x^430 - x^429 + x^428 - x^427 + x^426 - x^425 + x^424 - x^423 + x^422 - x^421 + x^420 - x^419 + x^418 - 
    x^417 + x^416 - x^415 + x^414 - x^413 + x^412 - x^411 + x^410 - x^409 + x^408 - x^407 + x^406 - x^405 + x^404 - x^403 + x^402 - 
    x^401 + x^400 - x^399 + x^398 - x^397 + x^396 - x^395 + x^394 - x^393 + x^392 - x^391 + x^390 - x^389 + x^388 - x^387 + x^386 - 
    x^385 + x^384 - x^383 + x^382 - x^381 + x^380 - x^379 + x^378 - x^377 + x^376 - x^375 + x^374 - x^373 + x^372 - x^371 + x^370 - 
    x^369 + x^368 - x^367 + x^366 - x^365 + x^364 - x^363 + x^362 - x^361 + x^360 - x^359 + x^358 - x^357 + x^356 - x^355 + x^354 - 
    x^353 + x^352 - x^351 + x^350 - x^349 + x^348 - x^347 + x^346 - x^345 + x^344 - x^343 + x^342 - x^341 + x^340 - x^339 + x^338 - 
    x^337 + x^336 - x^335 + x^334 - x^333 + x^332 - x^331 + x^330 - x^329 + x^328 - x^327 + x^326 - x^325 + x^324 - x^323 + x^322 - 
    x^321 + x^320 - x^319 + x^318 - x^317 + x^316 - x^315 + x^314 - x^313 + x^312 - x^311 + x^310 - x^309 + x^308 - x^307 + x^306 - 
    x^305 + x^304 - x^303 + x^302 - x^301 + x^300 - x^299 + x^298 - x^297 + x^296 - x^295 + x^294 - x^293 + x^292 - x^291 + x^290 - 
    x^289 + x^288 - x^287 + x^286 - x^285 + x^284 - x^283 + x^282 - x^281 + x^280 - x^279 + x^278 - x^277 + x^276 - x^275 + x^274 - 
    x^273 + x^272 - x^271 + x^270 - x^269 + x^268 - x^267 + x^266 - x^265 + x^264 - x^263 + x^262 - x^261 + x^260 - x^259 + x^258 - 
    x^257 + x^256 - x^255 + x^254 - x^253 + x^252 - x^251 + x^250 - x^249 + x^248 - x^247 + x^246 - x^245 + x^244 - x^243 + x^242 - 
    x^241 + x^240 - x^239 + x^238 - x^237 + x^236 - x^235 + x^234 - x^233 + x^232 - x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - 
    x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - x^213 + x^212 - x^211 + x^210 - 
    x^209 + x^208 - x^207 + x^206 - x^205 + x^204 - x^203 + x^202 - x^201 + x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + x^194 - 
    x^193 + x^192 - x^191 + x^190 - x^189 + x^188 - x^187 + x^186 - x^185 + x^184 - x^183 + x^182 - x^181 + x^180 - x^179 + x^178 - 
    x^177 + x^176 - x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - 
    x^161 + x^160 - x^159 + x^158 - x^157 + x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - 
    x^145 + x^144 - x^143 + x^142 - x^141 + x^140 - x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - 
    x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - 
    x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 
    + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + 
    x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 
    - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - 
    x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 
    + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - 
    x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1319,
    [ [* 13,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
22
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1319,
    [ [* 13, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, -1 *], [* 661, 1 *], [* 1057, 1 *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, -1 *], [* 661, -1 *], [* 1057, 1 *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, 1 *], [* 661, 1 *], [* 1057, 1 *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, 1 *], [* 661, -1 *], [* 1057, 1 *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, 1 *], [* 661, 1 *], [* 1057,
        a
    *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, 1 *], [* 661, -1 *], [* 1057,
        a
    *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, -1 *], [* 661, 1 *], [* 1057,
        a
    *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, -1 *], [* 661, -1 *], [* 1057,
        a
    *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, -1 *], [* 661, 1 *], [* 1057, -1 *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, -1 *], [* 661, -1 *], [* 1057, -1 *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, 1 *], [* 661, 1 *], [* 1057, -1 *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, 1 *], [* 991, 1 *], [* 661, -1 *], [* 1057, -1 *], [* 881, -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:=
[* 1320,
    [ [* 1201,
        a
    *], [* 991, 1 *], [* 661, 1 *], [* 1057, 1 *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a
    *], [* 991, 1 *], [* 661, -1 *], [* 1057, 1 *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a
    *], [* 991, -1 *], [* 661, 1 *], [* 1057, 1 *], [* 881, -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:=
[* 1320,
    [ [* 1201,
        a
    *], [* 991, -1 *], [* 661, -1 *], [* 1057, 1 *], [* 881, -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:=
[* 1320,
    [ [* 1201,
        a^2
    *], [* 991, -1 *], [* 661, 1 *], [* 1057,
        a^5
    *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a^2
    *], [* 991, -1 *], [* 661, -1 *], [* 1057,
        a^5
    *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a^2
    *], [* 991, 1 *], [* 661, 1 *], [* 1057,
        a^5
    *], [* 881, -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 + 17*x^12 + 72*x^10 + 230*x^8 + 228*x^6 + 92*x^4 - 4*x^2 + 1
);
eps_on_gens:=
[* 1320,
    [ [* 1201,
        1/600445*(12896*a^14 + 68420*a^12 + 278608*a^10 + 1187051*a^8 + 4044272*a^6 + 6308282*a^4 + 3434488*a^2 + 433815)
    *], [* 991, 1 *], [* 661, -1 *], [* 1057,
        1/1025*(108*a^14 + 418*a^12 + 1797*a^10 + 7600*a^8 + 24075*a^6 + 22494*a^4 + 9799*a^2 - 104)
    *], [* 881, -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:=
[* 1320,
    [ [* 1201,
        a
    *], [* 991, 1 *], [* 661, 1 *], [* 1057, -1 *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a
    *], [* 991, 1 *], [* 661, -1 *], [* 1057, -1 *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a
    *], [* 991, -1 *], [* 661, 1 *], [* 1057, -1 *], [* 881, -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:=
[* 1320,
    [ [* 1201,
        a
    *], [* 991, -1 *], [* 661, -1 *], [* 1057, -1 *], [* 881, -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:=
[* 1320,
    [ [* 1201,
        a^2
    *], [* 991, -1 *], [* 661, 1 *], [* 1057, 1 *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a^2
    *], [* 991, -1 *], [* 661, -1 *], [* 1057, 1 *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a^2
    *], [* 991, 1 *], [* 661, 1 *], [* 1057, 1 *], [* 881, -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:=
[* 1320,
    [ [* 1201,
        a^2
    *], [* 991, 1 *], [* 661, -1 *], [* 1057, 1 *], [* 881, -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:=
[* 1320,
    [ [* 1201,
        a^4
    *], [* 991, 1 *], [* 661, 1 *], [* 1057,
        a^5
    *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a^4
    *], [* 991, 1 *], [* 661, -1 *], [* 1057,
        a^5
    *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a^4
    *], [* 991, -1 *], [* 661, 1 *], [* 1057,
        a^5
    *], [* 881, -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:=
[* 1320,
    [ [* 1201,
        a^4
    *], [* 991, -1 *], [* 661, -1 *], [* 1057,
        a^5
    *], [* 881, -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:=
[* 1320,
    [ [* 1201,
        a^2
    *], [* 991, -1 *], [* 661, 1 *], [* 1057, -1 *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a^2
    *], [* 991, -1 *], [* 661, -1 *], [* 1057, -1 *], [* 881, 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:=
[* 1320,
    [ [* 1201,
        a^2
    *], [* 991, 1 *], [* 661, 1 *], [* 1057, -1 *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 5*x^6 + 10*x^4 + 25
);
eps_on_gens:=
[* 1320,
    [ [* 1201,
        1/55*(a^6 - 4*a^4 - 20*a^2 - 40)
    *], [* 991, 1 *], [* 661, -1 *], [* 1057, -1 *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, 1 *], [* 661, 1 *], [* 1057, 1 *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, 1 *], [* 661, -1 *], [* 1057, 1 *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, -1 *], [* 661, 1 *], [* 1057, 1 *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, -1 *], [* 661, -1 *], [* 1057, 1 *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, -1 *], [* 661, 1 *], [* 1057,
        a
    *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, -1 *], [* 661, -1 *], [* 1057,
        a
    *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, 1 *], [* 661, 1 *], [* 1057,
        a
    *], [* 881, -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^2 + 9
);
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, 1 *], [* 661, -1 *], [* 1057,
        1/6*(a^3 + a)
    *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, 1 *], [* 661, 1 *], [* 1057, -1 *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, 1 *], [* 661, -1 *], [* 1057, -1 *], [* 881, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, -1 *], [* 661, 1 *], [* 1057, -1 *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1320,
    [ [* 1201, -1 *], [* 991, -1 *], [* 661, -1 *], [* 1057, -1 *], [* 881, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^320 - x^316 + x^312 + x^300 - x^296 + x^292 + x^276 - x^272 + x^268 - x^260 + 2*x^256 - 2*x^252 + x^248 - x^240 + x^236 - x^232 - 
    x^216 + x^212 - x^208 + x^200 - 2*x^196 + 2*x^192 - 2*x^188 + x^184 - x^176 + x^172 - x^168 + x^164 - x^160 + x^156 - x^152 + x^148
    - x^144 + x^136 - 2*x^132 + 2*x^128 - 2*x^124 + x^120 - x^112 + x^108 - x^104 - x^88 + x^84 - x^80 + x^72 - 2*x^68 + 2*x^64 - x^60 
    + x^52 - x^48 + x^44 + x^28 - x^24 + x^20 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1321,
    [ [* 13,
        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:=
[* 1321,
    [ [* 13,
        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:=
[* 1321,
    [ [* 13,
        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:=
[* 1321,
    [ [* 13,
        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:=
[* 1321,
    [ [* 13,
        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:=
[* 1321,
    [ [* 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:=
[* 1321,
    [ [* 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:=
[* 1321,
    [ [* 13,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 - x^158 + x^156 + x^150 - x^148 + x^146 + x^138 - x^136 + x^134 - x^130 + 2*x^128 - 2*x^126 + x^124 - x^120 + x^118 - x^116 - 
    x^108 + x^106 - x^104 + x^100 - 2*x^98 + 2*x^96 - 2*x^94 + x^92 - x^88 + x^86 - x^84 + x^82 - x^80 + x^78 - x^76 + x^74 - x^72 + 
    x^68 - 2*x^66 + 2*x^64 - 2*x^62 + x^60 - x^56 + x^54 - x^52 - x^44 + x^42 - x^40 + x^36 - 2*x^34 + 2*x^32 - x^30 + x^26 - x^24 + 
    x^22 + x^14 - x^12 + x^10 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1322,
    [ [* 663,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^78 - x^70 - x^68 + x^60 - x^56 - x^50 + x^46 + x^40 + x^34 - x^30 - x^24 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1322,
    [ [* 663,
        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:=
[* 1322,
    [ [* 663,
        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:=
[* 1322,
    [ [* 663,
        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:=
[* 1322,
    [ [* 663,
        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:=
[* 1322,
    [ [* 663,
        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:=
[* 1322,
    [ [* 663,
        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:=
[* 1322,
    [ [* 663,
        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:=
[* 1323,
    [ [* 1081, 1 *], [* 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:=
[* 1323,
    [ [* 1081, 1 *], [* 785,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1323,
    [ [* 1081, 1 *], [* 785, -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:=
[* 1323,
    [ [* 1081,
        a
    *], [* 785, 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:=
[* 1323,
    [ [* 1081,
        a^3
    *], [* 785,
        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:=
[* 1323,
    [ [* 1081,
        a^3
    *], [* 785,
        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:=
[* 1323,
    [ [* 1081,
        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:=
[* 1323,
    [ [* 1081,
        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^36 + x^33 - x^27 - x^24 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1323,
    [ [* 1081,
        a^6
    *], [* 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:=
[* 1323,
    [ [* 1081,
        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^36 + x^33 - x^27 - x^24 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1323,
    [ [* 1081,
        a^6
    *], [* 785,
        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:=
[* 1323,
    [ [* 1081,
        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:=
[* 1323,
    [ [* 1081,
        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:=
[* 1323,
    [ [* 1081,
        a
    *], [* 785, 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:=
[* 1323,
    [ [* 1081,
        a^9
    *], [* 785,
        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:=
[* 1323,
    [ [* 1081,
        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^36 + x^33 - x^27 - x^24 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1323,
    [ [* 1081,
        a^18
    *], [* 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:=
[* 1323,
    [ [* 1081,
        a^6
    *], [* 785,
        a^7
    *] ]
*]
;
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:=
[* 1323,
    [ [* 1081,
        a^2
    *], [* 785, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1323,
    [ [* 1081,
        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^3 + 1
);
eps_on_gens:=
[* 1323,
    [ [* 1081,
        a^3
    *], [* 785,
        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:=
[* 1323,
    [ [* 1081,
        a^3
    *], [* 785,
        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:=
[* 1323,
    [ [* 1081,
        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:=
[* 1323,
    [ [* 1081,
        a
    *], [* 785,
        -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:=
[* 1323,
    [ [* 1081,
        a^3 - 1
    *], [* 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:=
[* 1323,
    [ [* 1081,
        a - 1
    *], [* 785,
        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:=
[* 1323,
    [ [* 1081,
        a^3 - 1
    *], [* 785,
        a^5
    *] ]
*]
;
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:=
[* 1323,
    [ [* 1081,
        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:=
[* 1323,
    [ [* 1081,
        a - 1
    *], [* 785,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1323,
    [ [* 1081, -1 *], [* 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^3 + 1
);
eps_on_gens:=
[* 1323,
    [ [* 1081, -1 *], [* 785,
        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:=
[* 1323,
    [ [* 1081, -1 *], [* 785,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1324,
    [ [* 665, 1 *], [* 663, -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:=
[* 1324,
    [ [* 665,
        a
    *], [* 663, 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:=
[* 1324,
    [ [* 665,
        a^2
    *], [* 663, -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:=
[* 1324,
    [ [* 665,
        a
    *], [* 663, 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:=
[* 1324,
    [ [* 665,
        a
    *], [* 663, 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:=
[* 1324,
    [ [* 665,
        a^2
    *], [* 663, -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:=
[* 1324,
    [ [* 665,
        a^2
    *], [* 663, -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:=
[* 1324,
    [ [* 665,
        a
    *], [* 663, 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:=
[* 1324,
    [ [* 665,
        a
    *], [* 663, 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:=
[* 1324,
    [ [* 665,
        a^2
    *], [* 663, -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:=
[* 1324,
    [ [* 665,
        a^2
    *], [* 663, -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:=
[* 1324,
    [ [* 665,
        a
    *], [* 663, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1324,
    [ [* 665,
        a
    *], [* 663, 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:=
[* 1324,
    [ [* 665,
        a^2
    *], [* 663, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1324,
    [ [* 665,
        a - 1
    *], [* 663, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 1324,
    [ [* 665, -1 *], [* 663, 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:=
[* 1325,
    [ [* 902,
        a
    *], [* 426, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1325,
    [ [* 902,
        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:=
[* 1325,
    [ [* 902, 1 *], [* 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^94 - x^86 - x^84 + x^76 + x^74 - x^70 - x^68 - x^66 - x^64 + x^60 + x^58 + x^56 + x^54 - x^50 - x^48 - x^46 + x^42 + x^40 + 
    x^38 + x^36 - x^32 - x^30 - x^28 - x^26 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1325,
    [ [* 902,
        a^26
    *], [* 426,
        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^94 - x^86 - x^84 + x^76 + x^74 - x^70 - x^68 - x^66 - x^64 + x^60 + x^58 + x^56 + x^54 - x^50 - x^48 - x^46 + x^42 + x^40 + 
    x^38 + x^36 - x^32 - x^30 - x^28 - x^26 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1325,
    [ [* 902,
        a^52
    *], [* 426,
        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^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:=
[* 1325,
    [ [* 902, -1 *], [* 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^94 - x^86 - x^84 + x^76 + x^74 - x^70 - x^68 - x^66 - x^64 + x^60 + x^58 + x^56 + x^54 - x^50 - x^48 - x^46 + x^42 + x^40 + 
    x^38 + x^36 - x^32 - x^30 - x^28 - x^26 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1325,
    [ [* 902,
        a^13
    *], [* 426,
        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^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:=
[* 1325,
    [ [* 902,
        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^96 + x^94 - x^86 - x^84 + x^76 + x^74 - x^70 - x^68 - x^66 - x^64 + x^60 + x^58 + x^56 + x^54 - x^50 - x^48 - x^46 + x^42 + x^40 + 
    x^38 + x^36 - x^32 - x^30 - x^28 - x^26 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1325,
    [ [* 902,
        a^13
    *], [* 426,
        a^20
    *] ]
*]
;
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:=
[* 1325,
    [ [* 902,
        a^13
    *], [* 426,
        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:=
[* 1325,
    [ [* 902, 1 *], [* 426,
        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:=
[* 1325,
    [ [* 902,
        a^2
    *], [* 426,
        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:=
[* 1325,
    [ [* 902,
        a^4
    *], [* 426,
        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:=
[* 1325,
    [ [* 902, -1 *], [* 426,
        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:=
[* 1325,
    [ [* 902,
        a
    *], [* 426, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1325,
    [ [* 902,
        a
    *], [* 426, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1326,
    [ [* 613, 1 *], [* 547, 1 *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a
    *], [* 547, 1 *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a
    *], [* 547, 1 *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a
    *], [* 547, 1 *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a - 1
    *], [* 547, 1 *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1326,
    [ [* 613, -1 *], [* 547, 1 *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613, 1 *], [* 547,
        a
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a^4
    *], [* 547,
        a^3
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a^8
    *], [* 547,
        a^3
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a^4
    *], [* 547,
        a
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a^8 - 1
    *], [* 547,
        a^3
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613, -1 *], [* 547,
        a
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        -a^4
    *], [* 547,
        a^3
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        -a^4
    *], [* 547,
        a
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613, 1 *], [* 547,
        a
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a^2
    *], [* 547,
        a^3
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a^4
    *], [* 547,
        a^3
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a^2
    *], [* 547,
        a
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a^4 - 1
    *], [* 547,
        a^3
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613, -1 *], [* 547,
        a
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        -a^2
    *], [* 547,
        a^3
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        -a^2
    *], [* 547,
        a
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613, 1 *], [* 547,
        a
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a
    *], [* 547,
        a^3
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a^2
    *], [* 547,
        a^3
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a
    *], [* 547,
        a
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a^2 - 1
    *], [* 547,
        a^3
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613, -1 *], [* 547,
        a
    *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        -a
    *], [* 547,
        a^3
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        -a
    *], [* 547,
        a
    *], [* 443, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1326,
    [ [* 613, 1 *], [* 547, -1 *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a
    *], [* 547, -1 *], [* 443, 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:=
[* 1326,
    [ [* 613,
        a
    *], [* 547, -1 *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1326,
    [ [* 613,
        a
    *], [* 547, -1 *], [* 443, 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:=
[* 1326,
    [ [* 613,
        a - 1
    *], [* 547, -1 *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1326,
    [ [* 613, -1 *], [* 547, -1 *], [* 443, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^384 - x^383 + x^382 + x^371 - x^370 + x^369 + x^367 - x^366 + x^365 + x^354 - x^353 + x^352 - x^345 + x^344 - x^343 - x^333 - x^330 -
    x^328 + x^327 - x^326 - x^320 + x^319 - x^318 - x^316 - x^313 + x^306 - x^305 + x^304 - x^303 + x^302 - x^301 + x^294 + x^291 + 
    x^289 - x^288 + x^287 + x^282 + x^279 + x^277 + x^274 + x^269 - x^268 + x^266 + x^262 - x^255 - x^251 + x^249 - x^248 - x^243 - 
    x^240 - x^238 - x^235 - x^231 - x^227 - x^223 - x^218 + x^217 - x^214 + x^213 - x^210 + x^209 + x^204 + x^200 + x^196 + x^192 + 
    x^188 + x^184 + x^180 + x^175 - x^174 + x^171 - x^170 + x^167 - x^166 - x^161 - x^157 - x^153 - x^149 - x^146 - x^144 - x^141 - 
    x^136 + x^135 - x^133 - x^129 + x^122 + x^118 - x^116 + x^115 + x^110 + x^107 + x^105 + x^102 + x^97 - x^96 + x^95 + x^93 + x^90 - 
    x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^71 - x^68 - x^66 + x^65 - x^64 - x^58 + x^57 - x^56 - x^54 - x^51 - x^41 + x^40 - x^39 
    + x^32 - x^31 + x^30 + x^19 - x^18 + x^17 + x^15 - x^14 + x^13 + x^2 - x + 1
);
eps_on_gens:=
[* 1327,
    [ [* 3,
        a
    *] ]
*]
;
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:=
[* 1327,
    [ [* 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^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:=
[* 1327,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^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:=
[* 1327,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^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:=
[* 1327,
    [ [* 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^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1327,
    [ [* 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:=
[* 1327,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1327,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1328,
    [ [* 997, 1 *], [* 417, 1 *], [* 831, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1328,
    [ [* 997,
        a
    *], [* 417, 1 *], [* 831, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1328,
    [ [* 997, -1 *], [* 417, 1 *], [* 831, -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:=
[* 1328,
    [ [* 997, 1 *], [* 417,
        a
    *], [* 831, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - 
    x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + 
    x^4 - x^2 + 1
);
eps_on_gens:=
[* 1328,
    [ [* 997,
        a^41
    *], [* 417,
        a^2
    *], [* 831, 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:=
[* 1328,
    [ [* 997, -1 *], [* 417,
        a
    *], [* 831, 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:=
[* 1328,
    [ [* 997, 1 *], [* 417,
        a^2
    *], [* 831, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - 
    x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + 
    x^4 - x^2 + 1
);
eps_on_gens:=
[* 1328,
    [ [* 997,
        a^41
    *], [* 417,
        a^4
    *], [* 831, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
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:=
[* 1328,
    [ [* 997, -1 *], [* 417,
        a^2
    *], [* 831, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 1328,
    [ [* 997, 1 *], [* 417, -1 *], [* 831, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1328,
    [ [* 997,
        a
    *], [* 417, -1 *], [* 831, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1328,
    [ [* 997, -1 *], [* 417, -1 *], [* 831, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1329,
    [ [* 445, 1 *], [* 887, -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:=
[* 1329,
    [ [* 445,
        a
    *], [* 887, 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:=
[* 1329,
    [ [* 445,
        a^2
    *], [* 887, -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:=
[* 1329,
    [ [* 445,
        a
    *], [* 887, 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:=
[* 1329,
    [ [* 445,
        a
    *], [* 887, 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:=
[* 1329,
    [ [* 445,
        a^2
    *], [* 887, -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:=
[* 1329,
    [ [* 445,
        a^2
    *], [* 887, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1329,
    [ [* 445, -1 *], [* 887, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a
    *], [* 211, 1 *], [* 381, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211, 1 *], [* 381,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211, 1 *], [* 381,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^3
    *], [* 211, 1 *], [* 381,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211, 1 *], [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211, 1 *], [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a
    *], [* 381, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a
    *], [* 381, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^9
    *], [* 211,
        a^2
    *], [* 381,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a
    *], [* 381,
        a^3 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a
    *], [* 381,
        a^3 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^9
    *], [* 211,
        a^2
    *], [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a
    *], [* 381,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a
    *], [* 381,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^9
    *], [* 211,
        a^2
    *], [* 381,
        -a^6 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^9
    *], [* 211,
        a^4
    *], [* 381, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a^2
    *], [* 381,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a^2
    *], [* 381,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^9
    *], [* 211,
        a^4
    *], [* 381,
        a^6 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a^2
    *], [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a^2
    *], [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^9
    *], [* 211,
        a^4
    *], [* 381,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a^2
    *], [* 381,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a^2
    *], [* 381,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a
    *], [* 381, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a
    *], [* 381, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^3
    *], [* 211,
        a^2
    *], [* 381,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a
    *], [* 381,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a
    *], [* 381,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^3
    *], [* 211,
        a^2
    *], [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a
    *], [* 381,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a
    *], [* 381,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^3
    *], [* 211,
        a^2
    *], [* 381,
        -a^2 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^3
    *], [* 211,
        a^2 - 1
    *], [* 381, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a - 1
    *], [* 381,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a - 1
    *], [* 381,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^3
    *], [* 211,
        a^2 - 1
    *], [* 381,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a - 1
    *], [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a - 1
    *], [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a^3
    *], [* 211,
        a^2 - 1
    *], [* 381,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211,
        a - 1
    *], [* 381,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211,
        a - 1
    *], [* 381,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1330,
    [ [* 267, 1 *], [* 211, -1 *], [* 381, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211, -1 *], [* 381, 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:=
[* 1330,
    [ [* 267,
        a^3
    *], [* 211, -1 *], [* 381,
        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:=
[* 1330,
    [ [* 267, 1 *], [* 211, -1 *], [* 381,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267, -1 *], [* 211, -1 *], [* 381,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1330,
    [ [* 267,
        a
    *], [* 211, -1 *], [* 381, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^440 + x^429 - x^385 - x^374 + x^330 - x^308 - x^275 + x^253 + x^220 + x^187 - x^165 - x^132 + x^110 - x^66 - x^55 + x^11 + 1
);
eps_on_gens:=
[* 1331,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^110 - x^99 + x^88 - x^77 + x^66 - x^55 + x^44 - x^33 + x^22 - x^11 + 1
);
eps_on_gens:=
[* 1331,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^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:=
[* 1331,
    [ [* 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:=
[* 1331,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^19 - 14*x^18 + 8*x^17 + 99*x^16 - 44*x^15 - 359*x^14 + 114*x^13 + 907*x^12 - 268*x^11 - 1159*x^10 + 32*x^9 + 1552*x^8 - 
    299*x^7 - 930*x^6 + 847*x^5 + 3036*x^4 - 38*x^3 + 172*x^2 + 304*x + 991
);
eps_on_gens:=
[* 1331,
    [ [* 2,
        1/404979167089101670263057613758286577791*(80798464887451636697625457294610740*a^19 - 66620608236044992542477450190782560*a^18 
            - 1125851093286605423204650630095251020*a^17 + 496809305184955699878504760364955865*a^16 + 
            7916146603184796689077086463628992160*a^15 - 3216379060606501937591854928650502920*a^14 - 
            29153889690289354373162220321559216560*a^13 + 12922329942875800873407768140345783330*a^12 + 
            79237309506232758418029102727956826680*a^11 - 49103186486602169225644849807278817166*a^10 - 
            123246262121164664083197246456734656970*a^9 + 98614007014901111016960979955153614245*a^8 + 
            204555647195813422653028002801116368440*a^7 - 202005824512370805129571678222087791550*a^6 - 
            166449240546474688536260119842142303102*a^5 + 236341071784349047759377170714067333185*a^4 + 
            370135277363860843411727059080320955850*a^3 - 44611812884147624166757024920373085555*a^2 + 
            197256053189825179798067357762685777371*a + 408131081314911324382850794572708135206)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1331,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1332,
    [ [* 1297, 1 *], [* 1037, 1 *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297, 1 *], [* 1037,
        a
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297, 1 *], [* 1037,
        a - 1
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1332,
    [ [* 1297, 1 *], [* 1037, -1 *], [* 667, 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:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037, 1 *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        a^6
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        a^6 - 1
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - 18*x^20 + 279*x^16 - 792*x^12 + 1863*x^8 - 405*x^4 + 81
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        1/968031*(-4803*a^22 + 85343*a^18 - 1318950*a^14 + 3473964*a^10 - 7773228*a^6 - 664362*a^2)
    *], [* 1037, -1 *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        -a^6
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        -a^6 + 1
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
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:=
[* 1332,
    [ [* 1297,
        1/657*(-86*a^10 + 533*a^8 - 2435*a^6 + 4798*a^4 - 6772*a^2 + 325)
    *], [* 1037, 1 *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        a^3
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        a^3 - 1
    *], [* 667, -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:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037, -1 *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        -a^3
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        -a^3 + 1
    *], [* 667, 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:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037, 1 *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        a^2
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        a^2 - 1
    *], [* 667, 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 + 12*x^5 + 21*x^4 + 24*x^3 + 124*x^2 + 84*x + 73
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        1/33915*(-230*a^7 + 613*a^6 - 18*a^5 - 4254*a^4 + 2556*a^3 + 6045*a^2 - 16130*a + 24007)
    *], [* 1037, -1 *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        -a^2
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        -a^2 + 1
    *], [* 667, -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:=
[* 1332,
    [ [* 1297,
        a^2
    *], [* 1037, 1 *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a^2
    *], [* 1037,
        a^3
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a^2
    *], [* 1037,
        a^3 - 1
    *], [* 667, -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:=
[* 1332,
    [ [* 1297,
        a^2
    *], [* 1037, -1 *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a^2
    *], [* 1037,
        -a^3
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a^2
    *], [* 1037,
        -a^3 + 1
    *], [* 667, 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:=
[* 1332,
    [ [* 1297,
        -2*a^3 + 3*a^2 - 8*a + 4
    *], [* 1037, 1 *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        a
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        a - 1
    *], [* 667, -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:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037, -1 *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        -a
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037,
        -a + 1
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a
    *], [* 1037, 1 *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a^3
    *], [* 1037,
        a^2
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a^3
    *], [* 1037,
        a^2 - 1
    *], [* 667, 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:=
[* 1332,
    [ [* 1297,
        -a^2
    *], [* 1037, -1 *], [* 667, -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:=
[* 1332,
    [ [* 1297,
        a - 1
    *], [* 1037, 1 *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a - 1
    *], [* 1037,
        a
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a - 1
    *], [* 1037,
        a - 1
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a - 1
    *], [* 1037, -1 *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a - 1
    *], [* 1037,
        -a
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297,
        a - 1
    *], [* 1037,
        -a + 1
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1332,
    [ [* 1297, -1 *], [* 1037, 1 *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297, -1 *], [* 1037,
        a
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1332,
    [ [* 1297, -1 *], [* 1037,
        a - 1
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
22
;
C:=Rationals();
eps_on_gens:=
[* 1332,
    [ [* 1297, -1 *], [* 1037, -1 *], [* 667, 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:=
[* 1333,
    [ [* 1119,
        a
    *], [* 218, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1333,
    [ [* 1119,
        a
    *], [* 218, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1333,
    [ [* 1119,
        a
    *], [* 218, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1333,
    [ [* 1119, -1 *], [* 218, 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:=
[* 1333,
    [ [* 1119, 1 *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^14
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^28
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^42
    *], [* 218,
        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^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1333,
    [ [* 1119,
        a^7 - 1
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        -a^7
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^7
    *], [* 218,
        a^10
    *] ]
*]
;
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:=
[* 1333,
    [ [* 1119,
        a^21
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^7
    *], [* 218,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^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:=
[* 1333,
    [ [* 1119,
        a^42 - a^7
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119, -1 *], [* 218,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1333,
    [ [* 1119,
        -a^7 + 1
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119, 1 *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^14
    *], [* 218,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^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:=
[* 1333,
    [ [* 1119,
        a^14
    *], [* 218,
        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^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1333,
    [ [* 1119,
        a^7 - 1
    *], [* 218,
        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^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:=
[* 1333,
    [ [* 1119,
        a^7
    *], [* 218,
        a^30
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^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:=
[* 1333,
    [ [* 1119,
        a^7
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^7
    *], [* 218,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1333,
    [ [* 1119, -1 *], [* 218,
        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:=
[* 1333,
    [ [* 1119, 1 *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^2
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^4
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^6
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a - 1
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        -a
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^3
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        a^6 - a
    *], [* 218,
        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:=
[* 1333,
    [ [* 1119, -1 *], [* 218,
        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:=
[* 1333,
    [ [* 1119,
        -a + 1
    *], [* 218,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1333,
    [ [* 1119, 1 *], [* 218, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1333,
    [ [* 1119,
        a^2
    *], [* 218, -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:=
[* 1333,
    [ [* 1119,
        a^2
    *], [* 218, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1333,
    [ [* 1119,
        a - 1
    *], [* 218, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1334,
    [ [* 465,
        a
    *], [* 553, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1334,
    [ [* 465, -1 *], [* 553, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1334,
    [ [* 465, 1 *], [* 553,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^118 - x^106 - x^104 - x^98 - x^96 + x^92 + x^90 + x^84 + x^82 - x^78 + x^74 - x^70 - x^68 + x^64 - x^60 + x^56 - x^52 - x^50 
    + x^46 - x^42 + x^38 + x^36 + x^30 + x^28 - x^24 - x^22 - x^16 - x^14 + x^2 + 1
);
eps_on_gens:=
[* 1334,
    [ [* 465,
        a^28
    *], [* 553,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 + x^59 - x^53 - x^52 - x^49 - x^48 + x^46 + x^45 + x^42 + x^41 - x^39 + x^37 - x^35 - x^34 + x^32 - x^30 + x^28 - x^26 - x^25 + 
    x^23 - x^21 + x^19 + x^18 + x^15 + x^14 - x^12 - x^11 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 1334,
    [ [* 465,
        a^7
    *], [* 553,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1334,
    [ [* 465, -1 *], [* 553,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^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:=
[* 1334,
    [ [* 465,
        a^7
    *], [* 553,
        a^22
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1334,
    [ [* 465, -1 *], [* 553,
        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:=
[* 1334,
    [ [* 465, 1 *], [* 553,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1334,
    [ [* 465,
        a^4
    *], [* 553,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1334,
    [ [* 465,
        a
    *], [* 553, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1334,
    [ [* 465, -1 *], [* 553, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1335,
    [ [* 181, 1 *], [* 802, 1 *], [* 446, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1335,
    [ [* 181, 1 *], [* 802,
        a
    *], [* 446, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1335,
    [ [* 181, 1 *], [* 802, -1 *], [* 446, -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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802, 1 *], [* 446, 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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802,
        a^22
    *], [* 446, -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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802, -1 *], [* 446, 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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802,
        -a^22
    *], [* 446, -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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802, 1 *], [* 446, -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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802,
        a^11
    *], [* 446, 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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802, -1 *], [* 446, -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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802,
        -a^11
    *], [* 446, 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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802, 1 *], [* 446, -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:=
[* 1335,
    [ [* 181,
        a^2
    *], [* 802,
        a^11
    *], [* 446, 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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802, -1 *], [* 446, -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:=
[* 1335,
    [ [* 181,
        a^2
    *], [* 802, 1 *], [* 446, -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:=
[* 1335,
    [ [* 181,
        a^4
    *], [* 802,
        a^11
    *], [* 446, 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:=
[* 1335,
    [ [* 181,
        a^2
    *], [* 802, -1 *], [* 446, -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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802, 1 *], [* 446, 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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802,
        a^2
    *], [* 446, -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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802, -1 *], [* 446, 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:=
[* 1335,
    [ [* 181,
        a
    *], [* 802,
        -a^2
    *], [* 446, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1335,
    [ [* 181,
        a
    *], [* 802, 1 *], [* 446, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1335,
    [ [* 181,
        a
    *], [* 802,
        a
    *], [* 446, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1335,
    [ [* 181,
        a
    *], [* 802, -1 *], [* 446, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1335,
    [ [* 181,
        a
    *], [* 802,
        -a
    *], [* 446, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1335,
    [ [* 181, -1 *], [* 802, 1 *], [* 446, -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:=
[* 1335,
    [ [* 181, -1 *], [* 802,
        a
    *], [* 446, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
16
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1335,
    [ [* 181, -1 *], [* 802, -1 *], [* 446, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1336,
    [ [* 673, 1 *], [* 669, 1 *], [* 335, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1336,
    [ [* 673, 1 *], [* 669, -1 *], [* 335, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - 
    x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 
    + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + 
    x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - 
    x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1336,
    [ [* 673,
        a
    *], [* 669, 1 *], [* 335, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - 
    x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 
    + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + 
    x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - 
    x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1336,
    [ [* 673,
        a
    *], [* 669, -1 *], [* 335, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - 
    x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 
    + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + 
    x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - 
    x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1336,
    [ [* 673,
        a^2
    *], [* 669, 1 *], [* 335, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - 
    x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 
    + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + 
    x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - 
    x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1336,
    [ [* 673,
        a^2
    *], [* 669, -1 *], [* 335, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 1336,
    [ [* 673, -1 *], [* 669, 1 *], [* 335, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
15
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1336,
    [ [* 673, -1 *], [* 669, -1 *], [* 335, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1337,
    [ [* 974, 1 *], [* 192,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1337,
    [ [* 974, 1 *], [* 192, -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:=
[* 1337,
    [ [* 974,
        a
    *], [* 192, 1 *] ]
*]
;
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^142 + x^139 - x^138 + x^137 - x^129 + x^128 - x^127 + x^125 - 2*x^124 + 2*x^123 - x^122 + x^120 - x^119 + x^118 + 
    x^114 - x^113 + x^112 - x^110 + 2*x^109 - 2*x^108 + x^107 - x^105 + x^104 - x^103 - x^99 + x^98 - x^97 + x^95 - 2*x^94 + 2*x^93 - 
    x^92 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^81 - 2*x^80 + 2*x^79 - 2*x^78 + x^77 - x^75 + x^74 - x^73 + x^72 -
    x^71 + x^70 - x^69 + x^67 - 2*x^66 + 2*x^65 - 2*x^64 + x^63 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^52 + 2*x^51
    - 2*x^50 + x^49 - x^47 + x^46 - x^45 - x^41 + x^40 - x^39 + x^37 - 2*x^36 + 2*x^35 - x^34 + x^32 - x^31 + x^30 + x^26 - x^25 + x^24
    - x^22 + 2*x^21 - 2*x^20 + x^19 - x^17 + x^16 - x^15 + x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1337,
    [ [* 974,
        a^3
    *], [* 192,
        a^95 - 1
    *] ]
*]
;
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^142 + x^139 - x^138 + x^137 - x^129 + x^128 - x^127 + x^125 - 2*x^124 + 2*x^123 - x^122 + x^120 - x^119 + x^118 + 
    x^114 - x^113 + x^112 - x^110 + 2*x^109 - 2*x^108 + x^107 - x^105 + x^104 - x^103 - x^99 + x^98 - x^97 + x^95 - 2*x^94 + 2*x^93 - 
    x^92 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^81 - 2*x^80 + 2*x^79 - 2*x^78 + x^77 - x^75 + x^74 - x^73 + x^72 -
    x^71 + x^70 - x^69 + x^67 - 2*x^66 + 2*x^65 - 2*x^64 + x^63 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^52 + 2*x^51
    - 2*x^50 + x^49 - x^47 + x^46 - x^45 - x^41 + x^40 - x^39 + x^37 - 2*x^36 + 2*x^35 - x^34 + x^32 - x^31 + x^30 + x^26 - x^25 + x^24
    - x^22 + 2*x^21 - 2*x^20 + x^19 - x^17 + x^16 - x^15 + x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1337,
    [ [* 974,
        a^6
    *], [* 192,
        a^95
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 1337,
    [ [* 974,
        a^2
    *], [* 192, -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:=
[* 1337,
    [ [* 974,
        a
    *], [* 192, 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:=
[* 1337,
    [ [* 974,
        a^3
    *], [* 192,
        a^19 - 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:=
[* 1337,
    [ [* 974,
        a^6
    *], [* 192,
        a^19
    *] ]
*]
;
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:=
[* 1337,
    [ [* 974,
        a^2
    *], [* 192, -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:=
[* 1337,
    [ [* 974,
        a
    *], [* 192, 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:=
[* 1337,
    [ [* 974,
        a^3
    *], [* 192,
        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:=
[* 1337,
    [ [* 974,
        a^6
    *], [* 192,
        a^5
    *] ]
*]
;
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:=
[* 1337,
    [ [* 974,
        a^2
    *], [* 192, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1337,
    [ [* 974, -1 *], [* 192, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1337,
    [ [* 974, -1 *], [* 192,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1338,
    [ [* 895, 1 *], [* 893, -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:=
[* 1338,
    [ [* 895,
        a
    *], [* 893, 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:=
[* 1338,
    [ [* 895,
        a^2
    *], [* 893, -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:=
[* 1338,
    [ [* 895,
        a
    *], [* 893, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
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:=
[* 1338,
    [ [* 895,
        a^2
    *], [* 893, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1338,
    [ [* 895,
        a
    *], [* 893, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1338,
    [ [* 895,
        a - 1
    *], [* 893, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1338,
    [ [* 895, -1 *], [* 893, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1339,
    [ [* 1237,
        a
    *], [* 417, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1339,
    [ [* 1237,
        a
    *], [* 417, 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:=
[* 1339,
    [ [* 1237, 1 *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        a^17
    *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        a^17 - 1
    *], [* 417,
        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:=
[* 1339,
    [ [* 1237, -1 *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        -a^17
    *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        -a^17 + 1
    *], [* 417,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + x^62 - x^58 - x^56 + x^52 + x^50 - x^46 - x^44 + x^40 + x^38 - x^34 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - 
    x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1339,
    [ [* 1237,
        a^17
    *], [* 417,
        a^4
    *] ]
*]
;
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:=
[* 1339,
    [ [* 1237,
        a^51
    *], [* 417,
        a^4
    *] ]
*]
;
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:=
[* 1339,
    [ [* 1237,
        a^51 - a^17
    *], [* 417,
        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^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:=
[* 1339,
    [ [* 1237, 1 *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        a^17
    *], [* 417,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^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:=
[* 1339,
    [ [* 1237,
        a^17 - 1
    *], [* 417,
        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^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:=
[* 1339,
    [ [* 1237, -1 *], [* 417,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + x^62 - x^58 - x^56 + x^52 + x^50 - x^46 - x^44 + x^40 + x^38 - x^34 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - 
    x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1339,
    [ [* 1237,
        a^17
    *], [* 417,
        a^12
    *] ]
*]
;
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:=
[* 1339,
    [ [* 1237,
        a^17
    *], [* 417,
        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:=
[* 1339,
    [ [* 1237, 1 *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        a
    *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        a - 1
    *], [* 417,
        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:=
[* 1339,
    [ [* 1237, -1 *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        -a
    *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        -a + 1
    *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        a
    *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        a^3
    *], [* 417,
        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:=
[* 1339,
    [ [* 1237,
        a^3 - a
    *], [* 417,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1339,
    [ [* 1237, 1 *], [* 417, -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 + 5*x^6 + 4*x^5 + 19*x^4 + 14*x^3 + 20*x^2 - 4*x + 1
);
eps_on_gens:=
[* 1339,
    [ [* 1237,
        1/543*(-115*a^7 - 135*a^6 - 567*a^5 - 535*a^4 - 2160*a^3 - 2025*a^2 - 2180*a + 435)
    *], [* 417, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
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:=
[* 1339,
    [ [* 1237,
        1/543*(115*a^7 + 135*a^6 + 567*a^5 + 535*a^4 + 2160*a^3 + 2025*a^2 + 2180*a - 435)
    *], [* 417, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1339,
    [ [* 1237, -1 *], [* 417, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1340,
    [ [* 537, 1 *], [* 671, -1 *], [* 1141, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537,
        a
    *], [* 671, 1 *], [* 1141, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1340,
    [ [* 537, -1 *], [* 671, -1 *], [* 1141, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537, 1 *], [* 671, 1 *], [* 1141,
        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:=
[* 1340,
    [ [* 537,
        a^33
    *], [* 671, -1 *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537, -1 *], [* 671, 1 *], [* 1141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537, 1 *], [* 671, -1 *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^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:=
[* 1340,
    [ [* 537,
        a^33
    *], [* 671, 1 *], [* 1141,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
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:=
[* 1340,
    [ [* 537, -1 *], [* 671, -1 *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537, 1 *], [* 671, 1 *], [* 1141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537,
        a^11
    *], [* 671, -1 *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537, -1 *], [* 671, 1 *], [* 1141,
        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:=
[* 1340,
    [ [* 537, 1 *], [* 671, -1 *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537,
        a^11
    *], [* 671, 1 *], [* 1141,
        a^4
    *] ]
*]
;
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:=
[* 1340,
    [ [* 537, -1 *], [* 671, -1 *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537, 1 *], [* 671, 1 *], [* 1141,
        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:=
[* 1340,
    [ [* 537,
        a^3
    *], [* 671, -1 *], [* 1141,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537, -1 *], [* 671, 1 *], [* 1141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537, 1 *], [* 671, -1 *], [* 1141,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537,
        a^3
    *], [* 671, 1 *], [* 1141,
        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:=
[* 1340,
    [ [* 537, -1 *], [* 671, -1 *], [* 1141,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1340,
    [ [* 537, 1 *], [* 671, 1 *], [* 1141, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1340,
    [ [* 537,
        a
    *], [* 671, -1 *], [* 1141, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
24
;
C:=Rationals();
eps_on_gens:=
[* 1340,
    [ [* 537, -1 *], [* 671, 1 *], [* 1141, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1341,
    [ [* 299,
        a
    *], [* 1045, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1341,
    [ [* 299, -1 *], [* 1045, 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:=
[* 1341,
    [ [* 299, 1 *], [* 1045,
        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^138 - x^136 + x^132 + x^130 - x^126 - x^124 + x^120 + x^118 - x^114 - x^112 + x^108 + x^106 - x^102 - x^100 + x^96 + 
    x^94 - x^90 - x^88 + x^84 + x^82 - x^78 - x^76 + 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:=
[* 1341,
    [ [* 299,
        a^74 - 1
    *], [* 1045,
        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^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:=
[* 1341,
    [ [* 299,
        a^37
    *], [* 1045,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 - x^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:=
[* 1341,
    [ [* 299, -1 *], [* 1045,
        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^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:=
[* 1341,
    [ [* 299,
        a^37
    *], [* 1045,
        a^6
    *] ]
*]
;
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:=
[* 1341,
    [ [* 299, -1 *], [* 1045,
        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:=
[* 1341,
    [ [* 299, 1 *], [* 1045,
        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:=
[* 1341,
    [ [* 299,
        a^2 - 1
    *], [* 1045,
        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:=
[* 1341,
    [ [* 299,
        a
    *], [* 1045, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1341,
    [ [* 299, -1 *], [* 1045, -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:=
[* 1342,
    [ [* 551, 1 *], [* 123,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1342,
    [ [* 551, 1 *], [* 123, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        a^14 - a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        -a^14 - a^12 + a^6 + a^4 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        a^7 + a^6 - a^3 - a^2 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        -a^7 + a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        a^6 - a^4 + a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^2
    *], [* 123,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^2
    *], [* 123,
        a^7 + a^6 - a^3 - a^2 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^2
    *], [* 123, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^2
    *], [* 123,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^2
    *], [* 123,
        -a^7 + a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^5
    *], [* 123,
        a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123,
        -a^3 + a^2 - a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^5
    *], [* 123,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^2
    *], [* 123,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^2
    *], [* 123,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^2
    *], [* 123, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^2
    *], [* 123,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^2
    *], [* 123,
        -a^3 + a^2 - a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a
    *], [* 123, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^5
    *], [* 123,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551,
        a^5 - 1
    *], [* 123,
        a^3
    *] ]
*]
;
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:=
[* 1342,
    [ [* 551,
        a - 1
    *], [* 123, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1342,
    [ [* 551, -1 *], [* 123,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
28
;
C:=Rationals();
eps_on_gens:=
[* 1342,
    [ [* 551, -1 *], [* 123, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1343,
    [ [* 870,
        a
    *], [* 477, 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:=
[* 1343,
    [ [* 870, 1 *], [* 477,
        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:=
[* 1343,
    [ [* 870,
        a^39
    *], [* 477,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^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:=
[* 1343,
    [ [* 870,
        a^39
    *], [* 477,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^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:=
[* 1343,
    [ [* 870, -1 *], [* 477,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^192 + x^184 - x^168 - x^160 + x^144 + x^136 - x^120 - x^112 + x^96 - x^80 - x^72 + x^56 + x^48 - x^32 - x^24 + x^8 + 1
);
eps_on_gens:=
[* 1343,
    [ [* 870,
        a^39
    *], [* 477,
        a^16
    *] ]
*]
;
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:=
[* 1343,
    [ [* 870, 1 *], [* 477,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^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:=
[* 1343,
    [ [* 870,
        a^13
    *], [* 477,
        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^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1343,
    [ [* 870,
        a^13
    *], [* 477,
        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:=
[* 1343,
    [ [* 870, -1 *], [* 477,
        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:=
[* 1343,
    [ [* 870,
        a^13
    *], [* 477,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1343,
    [ [* 870, 1 *], [* 477,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1343,
    [ [* 870,
        a^3
    *], [* 477,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1343,
    [ [* 870,
        a^3
    *], [* 477,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1343,
    [ [* 870, -1 *], [* 477,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1343,
    [ [* 870,
        a^3
    *], [* 477,
        a^8 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1343,
    [ [* 870, 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:=
[* 1343,
    [ [* 870,
        a
    *], [* 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:=
[* 1343,
    [ [* 870,
        a
    *], [* 477, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
16
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1343,
    [ [* 870, -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:=
[* 1344,
    [ [* 577, 1 *], [* 1093, 1 *], [* 127, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577, 1 *], [* 1093,
        a
    *], [* 127, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577, 1 *], [* 1093,
        a
    *], [* 127, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577, 1 *], [* 1093,
        a
    *], [* 127, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1344,
    [ [* 577, 1 *], [* 1093, -1 *], [* 127, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1344,
    [ [* 577, 1 *], [* 1093, 1 *], [* 127, 1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577, 1 *], [* 1093,
        a
    *], [* 127, 1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577, 1 *], [* 1093,
        a
    *], [* 127, 1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577, 1 *], [* 1093,
        a
    *], [* 127, 1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1344,
    [ [* 577, 1 *], [* 1093, -1 *], [* 127, 1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a
    *], [* 1093, 1 *], [* 127, 1 *], [* 449, 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:=
[* 1344,
    [ [* 577,
        a^8
    *], [* 1093,
        a^3
    *], [* 127, 1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a^4
    *], [* 1093,
        a^3
    *], [* 127, 1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a^2
    *], [* 1093,
        a^3
    *], [* 127, 1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a
    *], [* 1093, -1 *], [* 127, 1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a
    *], [* 1093, 1 *], [* 127, -1 *], [* 449, -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:=
[* 1344,
    [ [* 577,
        a^8
    *], [* 1093,
        a^3
    *], [* 127, -1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a^4
    *], [* 1093,
        a^3
    *], [* 127, -1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a^2
    *], [* 1093,
        a^3
    *], [* 127, -1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 - 3*x^2 + 4*x + 13
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        1/15*(2*a^3 - 3*a^2 + 8)
    *], [* 1093, -1 *], [* 127, -1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a - 1
    *], [* 1093, 1 *], [* 127, -1 *], [* 449, 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:=
[* 1344,
    [ [* 577,
        a^8 - 1
    *], [* 1093,
        a^3
    *], [* 127, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a^4 - 1
    *], [* 1093,
        a^3
    *], [* 127, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a^2 - 1
    *], [* 1093,
        a^3
    *], [* 127, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a - 1
    *], [* 1093, -1 *], [* 127, -1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a - 1
    *], [* 1093, 1 *], [* 127, 1 *], [* 449, -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:=
[* 1344,
    [ [* 577,
        a^8 - 1
    *], [* 1093,
        a^3
    *], [* 127, 1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a^4 - 1
    *], [* 1093,
        a^3
    *], [* 127, 1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a^2 - 1
    *], [* 1093,
        a^3
    *], [* 127, 1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
12
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577,
        a^2 - 1
    *], [* 1093, -1 *], [* 127, 1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1344,
    [ [* 577, -1 *], [* 1093, 1 *], [* 127, 1 *], [* 449, 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:=
[* 1344,
    [ [* 577, -1 *], [* 1093,
        a
    *], [* 127, 1 *], [* 449, 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:=
[* 1344,
    [ [* 577, -1 *], [* 1093,
        a
    *], [* 127, 1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577, -1 *], [* 1093,
        a
    *], [* 127, 1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1344,
    [ [* 577, -1 *], [* 1093, -1 *], [* 127, 1 *], [* 449, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1344,
    [ [* 577, -1 *], [* 1093, 1 *], [* 127, -1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577, -1 *], [* 1093,
        a
    *], [* 127, -1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577, -1 *], [* 1093,
        a
    *], [* 127, -1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1344,
    [ [* 577, -1 *], [* 1093,
        a
    *], [* 127, -1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1344,
    [ [* 577, -1 *], [* 1093, -1 *], [* 127, -1 *], [* 449, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1345,
    [ [* 271, 1 *], [* 1077,
        a
    *] ]
*]
;
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:=
[* 1345,
    [ [* 271,
        a
    *], [* 1077, 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:=
[* 1345,
    [ [* 271,
        a
    *], [* 1077, -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:=
[* 1345,
    [ [* 271,
        a^2
    *], [* 1077,
        a^67
    *] ]
*]
;
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:=
[* 1345,
    [ [* 271,
        a^4
    *], [* 1077,
        a^67
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1345,
    [ [* 271,
        a
    *], [* 1077, 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:=
[* 1345,
    [ [* 271,
        -a^2
    *], [* 1077, -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:=
[* 1345,
    [ [* 271, -1 *], [* 1077,
        1/6*(a^3 + a)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^192 + x^176 - x^144 - x^128 + x^96 - x^64 - x^48 + x^16 + 1
);
eps_on_gens:=
[* 1346,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 - x^80 + x^64 - x^48 + x^32 - x^16 + 1
);
eps_on_gens:=
[* 1346,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1346,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1346,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1347,
    [ [* 901, 1 *], [* 899, -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:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 - x^80 + x^64 - x^48 + x^32 - x^16 + 1
);
eps_on_gens:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, -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:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, -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:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, 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:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, -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:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, -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:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, -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:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, -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:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, -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:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, -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:=
[* 1347,
    [ [* 901,
        a^2
    *], [* 899, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1347,
    [ [* 901,
        a
    *], [* 899, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1347,
    [ [* 901, -1 *], [* 899, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1348,
    [ [* 1021, 1 *], [* 675, -1 *] ]
*]
;
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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, 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^36 - x^32 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, 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^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, 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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a^2
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, 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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a^2
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a
    *], [* 675, -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:=
[* 1348,
    [ [* 1021,
        a - 1
    *], [* 675, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1348,
    [ [* 1021, -1 *], [* 675, -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:=
[* 1349,
    [ [* 362, 1 *], [* 1066,
        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:=
[* 1349,
    [ [* 362, 1 *], [* 1066,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1349,
    [ [* 362, 1 *], [* 1066, -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:=
[* 1349,
    [ [* 362,
        a
    *], [* 1066, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^141 + x^138 + x^129 - x^126 + 2*x^123 - x^120 + x^117 + x^108 - x^105 + x^102 - x^99 + x^96 - x^93 - x^84 - x^78 - x^72 - 
    x^66 - x^60 - x^51 + x^48 - x^45 + x^42 - x^39 + x^36 + x^27 - x^24 + 2*x^21 - x^18 + x^15 + x^6 - x^3 + 1
);
eps_on_gens:=
[* 1349,
    [ [* 362,
        a^9
    *], [* 1066,
        a^70
    *] ]
*]
;
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:=
[* 1349,
    [ [* 362,
        a^3
    *], [* 1066,
        a^35 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^141 + x^138 + x^129 - x^126 + 2*x^123 - x^120 + x^117 + x^108 - x^105 + x^102 - x^99 + x^96 - x^93 - x^84 - x^78 - x^72 - 
    x^66 - x^60 - x^51 + x^48 - x^45 + x^42 - x^39 + x^36 + x^27 - x^24 + 2*x^21 - x^18 + x^15 + x^6 - x^3 + 1
);
eps_on_gens:=
[* 1349,
    [ [* 362,
        a^18
    *], [* 1066,
        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:=
[* 1349,
    [ [* 362,
        a^6
    *], [* 1066,
        a^35
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1349,
    [ [* 362,
        a^2
    *], [* 1066, -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:=
[* 1349,
    [ [* 362,
        a
    *], [* 1066, 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:=
[* 1349,
    [ [* 362,
        a^9
    *], [* 1066,
        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:=
[* 1349,
    [ [* 362,
        a^3
    *], [* 1066,
        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:=
[* 1349,
    [ [* 362,
        a
    *], [* 1066, 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:=
[* 1349,
    [ [* 362,
        a^9
    *], [* 1066,
        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:=
[* 1349,
    [ [* 362,
        a^3
    *], [* 1066,
        a^5 - 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:=
[* 1349,
    [ [* 362,
        a^18
    *], [* 1066,
        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:=
[* 1349,
    [ [* 362,
        a^6
    *], [* 1066,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1349,
    [ [* 362,
        a^2
    *], [* 1066, -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:=
[* 1349,
    [ [* 362,
        a^18
    *], [* 1066,
        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:=
[* 1349,
    [ [* 362,
        a^6
    *], [* 1066,
        a^5
    *] ]
*]
;
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:=
[* 1349,
    [ [* 362,
        -a^2
    *], [* 1066, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1349,
    [ [* 362, -1 *], [* 1066, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 + x^33 + 70*x^30 + 111*x^27 + 4108*x^24 + 5026*x^21 + 59067*x^18 - 25193*x^15 + 579298*x^12 + 224566*x^9 + 90461*x^6 + 302*x^3 + 1
);
eps_on_gens:=
[* 1349,
    [ [* 362, -1 *], [* 1066,
        1/2831333465085718585125942*(-63241546339957899901071*a^34 - 63201341471879068199924*a^31 - 4426883622279588093406461*a^28 - 
            7017013881713138119428150*a^25 - 259792909505958262632853382*a^22 - 317688649923573999162343398*a^19 - 
            3735351013971702841779961779*a^16 + 1595536248517672093688141296*a^13 - 36637672308203937857724458481*a^10 - 
            14178287267272405753785684099*a^7 - 5721331836534547807629455890*a^4 - 19100410314092843169514101*a)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + 3*x^4 + 5*x^2 - 2*x + 1
);
eps_on_gens:=
[* 1349,
    [ [* 362, -1 *], [* 1066,
        1/13*(-6*a^5 + 5*a^4 - 15*a^3 - 9*a^2 - 25*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:=
[* 1350,
    [ [* 1001,
        a
    *], [* 1027, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1350,
    [ [* 1001,
        a
    *], [* 1027, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1350,
    [ [* 1001, -1 *], [* 1027, 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:=
[* 1350,
    [ [* 1001, 1 *], [* 1027,
        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:=
[* 1350,
    [ [* 1001,
        a^20
    *], [* 1027,
        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:=
[* 1350,
    [ [* 1001,
        a^10 - 1
    *], [* 1027,
        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:=
[* 1350,
    [ [* 1001,
        a^5
    *], [* 1027,
        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:=
[* 1350,
    [ [* 1001,
        a^5
    *], [* 1027,
        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:=
[* 1350,
    [ [* 1001, -1 *], [* 1027,
        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:=
[* 1350,
    [ [* 1001,
        a^5
    *], [* 1027,
        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:=
[* 1350,
    [ [* 1001,
        a^5
    *], [* 1027,
        a^6
    *] ]
*]
;
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:=
[* 1350,
    [ [* 1001, -1 *], [* 1027,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1350,
    [ [* 1001, 1 *], [* 1027,
        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:=
[* 1350,
    [ [* 1001,
        a^4
    *], [* 1027,
        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:=
[* 1350,
    [ [* 1001,
        a^2 - 1
    *], [* 1027,
        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:=
[* 1350,
    [ [* 1001,
        a
    *], [* 1027, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1350,
    [ [* 1001,
        a
    *], [* 1027, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1350,
    [ [* 1001, -1 *], [* 1027, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1351,
    [ [* 1163, 1 *], [* 773,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1351,
    [ [* 1163, 1 *], [* 773, -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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, 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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        a^32 - 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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        -a^32
    *] ]
*]
;
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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^16 + 1
);
eps_on_gens:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, -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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        -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 + 1
);
eps_on_gens:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, 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:=
[* 1351,
    [ [* 1163,
        a^3
    *], [* 773,
        a^32 - 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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        a^8
    *] ]
*]
;
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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, -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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        -a^8 + 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:=
[* 1351,
    [ [* 1163,
        a^3
    *], [* 773,
        a^16
    *] ]
*]
;
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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, -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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, -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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        -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:=
[* 1351,
    [ [* 1163,
        a^3
    *], [* 773,
        a^8
    *] ]
*]
;
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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        a^2
    *] ]
*]
;
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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        -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:=
[* 1351,
    [ [* 1163,
        a^3
    *], [* 773,
        a^4
    *] ]
*]
;
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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773,
        -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:=
[* 1351,
    [ [* 1163,
        a^3
    *], [* 773,
        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:=
[* 1351,
    [ [* 1163,
        a
    *], [* 773, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1351,
    [ [* 1163,
        a - 1
    *], [* 773,
        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:=
[* 1351,
    [ [* 1163,
        a - 1
    *], [* 773, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1351,
    [ [* 1163,
        a - 1
    *], [* 773,
        -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:=
[* 1351,
    [ [* 1163, -1 *], [* 773,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1351,
    [ [* 1163, -1 *], [* 773, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1352,
    [ [* 1185, 1 *], [* 677, 1 *], [* 1015, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1352,
    [ [* 1185, 1 *], [* 677, -1 *], [* 1015, -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:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, 1 *], [* 1015, 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:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, -1 *], [* 1015, 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:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, 1 *], [* 1015, -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:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, -1 *], [* 1015, -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:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, 1 *], [* 1015, 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:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, -1 *], [* 1015, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1352,
    [ [* 1185,
        a^2
    *], [* 677, 1 *], [* 1015, -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:=
[* 1352,
    [ [* 1185,
        a^2
    *], [* 677, -1 *], [* 1015, -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:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, 1 *], [* 1015, -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:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, -1 *], [* 1015, -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:=
[* 1352,
    [ [* 1185,
        a^2
    *], [* 677, 1 *], [* 1015, -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:=
[* 1352,
    [ [* 1185,
        a^2
    *], [* 677, -1 *], [* 1015, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, 1 *], [* 1015, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, -1 *], [* 1015, 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:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, 1 *], [* 1015, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - 5*x^10 + 19*x^8 - 28*x^6 + 31*x^4 - 6*x^2 + 1
);
eps_on_gens:=
[* 1352,
    [ [* 1185,
        1/559*(-114*a^10 + 545*a^8 - 2071*a^6 + 2831*a^4 - 3379*a^2 + 654)
    *], [* 677, -1 *], [* 1015, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, 1 *], [* 1015, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1352,
    [ [* 1185,
        a
    *], [* 677, -1 *], [* 1015, 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:=
[* 1352,
    [ [* 1185,
        a - 1
    *], [* 677, 1 *], [* 1015, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + 3*x^4 + 5*x^2 - 2*x + 1
);
eps_on_gens:=
[* 1352,
    [ [* 1185,
        1/13*(-6*a^5 + 5*a^4 - 15*a^3 - 9*a^2 - 25*a - 3)
    *], [* 677, -1 *], [* 1015, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1352,
    [ [* 1185, -1 *], [* 677, 1 *], [* 1015, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1352,
    [ [* 1185, -1 *], [* 677, -1 *], [* 1015, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1353,
    [ [* 826, 1 *], [* 739, 1 *], [* 452, -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:=
[* 1353,
    [ [* 826, 1 *], [* 739,
        a
    *], [* 452, 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:=
[* 1353,
    [ [* 826, 1 *], [* 739,
        a^2
    *], [* 452, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1353,
    [ [* 826, 1 *], [* 739, -1 *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739, 1 *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^4
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^8
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^12
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^12 - a^8 + a^4 - 1
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739, -1 *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^4
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^8
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^12
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^12 + a^8 - a^4 + 1
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739, 1 *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^2
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^4
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^6
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^6 - a^4 + a^2 - 1
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739, -1 *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^2
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^4
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^6
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^6 + a^4 - a^2 + 1
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739, 1 *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^2
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^3
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        a^3 - a^2 + a - 1
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739, -1 *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^2
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^3
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739,
        -a^3 + a^2 - a + 1
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739, 1 *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a^5
    *], [* 739,
        a^4
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a^5
    *], [* 739,
        a^8
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739, -1 *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a^2
    *], [* 739, 1 *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a^2
    *], [* 739,
        a
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a^2
    *], [* 739,
        a^2
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a^2
    *], [* 739,
        a^3
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a^2
    *], [* 739,
        a^3 - a^2 + a - 1
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a^2
    *], [* 739, -1 *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a^2
    *], [* 739,
        -a
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a^2
    *], [* 739,
        -a^2
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a^2
    *], [* 739,
        -a^3
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a^2
    *], [* 739,
        -a^3 + a^2 - a + 1
    *], [* 452, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1353,
    [ [* 826,
        a
    *], [* 739, 1 *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a^5
    *], [* 739,
        a^2
    *], [* 452, 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:=
[* 1353,
    [ [* 826,
        a^5
    *], [* 739,
        a^4
    *], [* 452, -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:=
[* 1353,
    [ [* 826,
        a
    *], [* 739, -1 *], [* 452, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1353,
    [ [* 826, -1 *], [* 739, 1 *], [* 452, -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:=
[* 1353,
    [ [* 826, -1 *], [* 739,
        a
    *], [* 452, 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:=
[* 1353,
    [ [* 826, -1 *], [* 739,
        a^2
    *], [* 452, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1353,
    [ [* 826, -1 *], [* 739, -1 *], [* 452, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^312 - x^286 + x^260 - x^234 + x^208 - x^182 + x^156 - x^130 + x^104 - x^78 + x^52 - x^26 + 1
);
eps_on_gens:=
[* 1354,
    [ [* 679,
        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:=
[* 1354,
    [ [* 679,
        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:=
[* 1354,
    [ [* 679,
        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:=
[* 1355,
    [ [* 272,
        a
    *], [* 6, 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:=
[* 1355,
    [ [* 272, 1 *], [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^63 - x^45 - x^36 - x^27 + x^9 + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272, -1 *], [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 + x^126 - x^90 - x^72 - x^54 + x^18 + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272,
        a^135
    *], [* 6,
        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^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272, 1 *], [* 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:=
[* 1355,
    [ [* 272, -1 *], [* 6,
        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:=
[* 1355,
    [ [* 272, 1 *], [* 6,
        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:=
[* 1355,
    [ [* 272, -1 *], [* 6,
        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:=
[* 1355,
    [ [* 272,
        a^45
    *], [* 6,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272, 1 *], [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272, -1 *], [* 6,
        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:=
[* 1355,
    [ [* 272,
        a^27
    *], [* 6,
        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:=
[* 1355,
    [ [* 272, 1 *], [* 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:=
[* 1355,
    [ [* 272, -1 *], [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272,
        a^15
    *], [* 6,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272, 1 *], [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272, -1 *], [* 6,
        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:=
[* 1355,
    [ [* 272,
        a^9
    *], [* 6,
        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:=
[* 1355,
    [ [* 272, 1 *], [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272, -1 *], [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272,
        a^5
    *], [* 6,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1355,
    [ [* 272,
        a^3
    *], [* 6,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 1355,
    [ [* 272, 1 *], [* 6, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
15
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1355,
    [ [* 272, -1 *], [* 6, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1356,
    [ [* 229, 1 *], [* 905, 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:=
[* 1356,
    [ [* 229, 1 *], [* 905, -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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, 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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, -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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, 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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, -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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, 1 *], [* 679, -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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, -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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, 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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, -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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, 1 *], [* 679, -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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, -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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, 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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, -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:=
[* 1356,
    [ [* 229,
        a^2
    *], [* 905, 1 *], [* 679, -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:=
[* 1356,
    [ [* 229,
        a^2
    *], [* 905, -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:=
[* 1356,
    [ [* 229,
        a
    *], [* 905, 1 *], [* 679, -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:=
[* 1356,
    [ [* 229,
        -a^2
    *], [* 905, -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:=
[* 1356,
    [ [* 229, -1 *], [* 905, 1 *], [* 679, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1356,
    [ [* 229, -1 *], [* 905, -1 *], [* 679, 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:=
[* 1357,
    [ [* 415, 1 *], [* 1063,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1357,
    [ [* 415, 1 *], [* 1063, -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:=
[* 1357,
    [ [* 415,
        a
    *], [* 1063, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^280 + x^279 - x^269 - x^268 + x^258 + x^257 - x^251 - x^250 - x^247 - x^246 + x^240 + x^239 + x^236 + x^235 - x^229 - x^228 - x^225 -
    x^224 + x^222 + x^221 + x^218 + x^217 + x^214 + x^213 - x^211 - x^210 - x^207 - x^206 - x^203 - x^202 + x^200 + x^199 + x^196 + 
    x^195 - x^193 + x^191 - x^189 - x^188 - x^185 - x^184 + x^182 - x^180 + x^178 + x^177 + x^174 + x^173 - x^171 + x^169 - x^167 - 
    x^166 + x^164 - x^162 + x^160 - x^158 + x^156 + x^155 - x^153 + x^151 - x^149 + x^147 - x^145 - x^144 + x^142 - x^140 + x^138 - 
    x^136 - x^135 + x^133 - x^131 + x^129 - x^127 + x^125 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 - x^113 + x^111 - x^109 + 
    x^107 + x^106 + x^103 + x^102 - x^100 + x^98 - x^96 - x^95 - x^92 - x^91 + x^89 - x^87 + x^85 + x^84 + x^81 + x^80 - x^78 - x^77 - 
    x^74 - x^73 - x^70 - x^69 + x^67 + x^66 + x^63 + x^62 + x^59 + x^58 - x^56 - x^55 - x^52 - x^51 + x^45 + x^44 + x^41 + x^40 - x^34 
    - x^33 - x^30 - x^29 + x^23 + x^22 - x^12 - x^11 + x + 1
);
eps_on_gens:=
[* 1357,
    [ [* 415,
        a^11
    *], [* 1063,
        a^58
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^280 + x^279 - x^269 - x^268 + x^258 + x^257 - x^251 - x^250 - x^247 - x^246 + x^240 + x^239 + x^236 + x^235 - x^229 - x^228 - x^225 -
    x^224 + x^222 + x^221 + x^218 + x^217 + x^214 + x^213 - x^211 - x^210 - x^207 - x^206 - x^203 - x^202 + x^200 + x^199 + x^196 + 
    x^195 - x^193 + x^191 - x^189 - x^188 - x^185 - x^184 + x^182 - x^180 + x^178 + x^177 + x^174 + x^173 - x^171 + x^169 - x^167 - 
    x^166 + x^164 - x^162 + x^160 - x^158 + x^156 + x^155 - x^153 + x^151 - x^149 + x^147 - x^145 - x^144 + x^142 - x^140 + x^138 - 
    x^136 - x^135 + x^133 - x^131 + x^129 - x^127 + x^125 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 - x^113 + x^111 - x^109 + 
    x^107 + x^106 + x^103 + x^102 - x^100 + x^98 - x^96 - x^95 - x^92 - x^91 + x^89 - x^87 + x^85 + x^84 + x^81 + x^80 - x^78 - x^77 - 
    x^74 - x^73 - x^70 - x^69 + x^67 + x^66 + x^63 + x^62 + x^59 + x^58 - x^56 - x^55 - x^52 - x^51 + x^45 + x^44 + x^41 + x^40 - x^34 
    - x^33 - x^30 - x^29 + x^23 + x^22 - x^12 - x^11 + x + 1
);
eps_on_gens:=
[* 1357,
    [ [* 415,
        a^22
    *], [* 1063,
        a^29
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^56 - 2*x^55 + 3*x^54 - 4*x^53 + 5*x^52 - 64*x^51 + 123*x^50 - 182*x^49 + 241*x^48 - 300*x^47 + 1780*x^46 - 2825*x^45 + 3870*x^44 - 
    4915*x^43 + 5960*x^42 - 26145*x^41 + 41835*x^40 - 57293*x^39 + 72751*x^38 - 88209*x^37 + 258237*x^36 - 525676*x^35 + 972625*x^34 - 
    1419632*x^33 + 1866639*x^32 - 3079768*x^31 + 5798200*x^30 - 1298068*x^29 - 3301360*x^28 + 7900790*x^27 - 10205972*x^26 + 
    7220423*x^25 + 70926137*x^24 - 149672330*x^23 + 228459674*x^22 - 311182898*x^21 + 393073532*x^20 - 276832976*x^19 + 182018577*x^18 
    - 88837661*x^17 - 863603*x^16 + 105404312*x^15 - 60798717*x^14 + 49475697*x^13 - 29692855*x^12 + 8702888*x^11 + 8651668*x^10 - 
    6403355*x^9 + 3227419*x^8 - 1975024*x^7 + 978438*x^6 - 289281*x^5 + 62616*x^4 - 9197*x^3 + 1221*x^2 - 60*x + 1
);
eps_on_gens:=
[* 1357,
    [ [* 415,
        1/5654664973114835534725146217139360477077186413051834360091368605099921325732842954287330522467477585973321496641078367255663\
        91990644239006167828061910941672041911868596656488350239537835810912063976313787*(-3894818679209972754072726201791543112293932\
        549921222753251534621145759061616873261178371848004764762035049641006949542663282504469975249683110027538356568952601363749543\
            0100773570926330626690483316924340*a^55 + 77585511190771024371299312318884624322032681808403321796153630512187603691191466\
            06052369175355407799642399048083295985496753027214426559273737479361764543997225320046831421205448671618658516070437551279\
            5*a^54 - 11644153655511327296099403370730558028333636600450982376099452873762271208884245327734760165275120155256696412171\
            8081899100447094188929459512182841917927963092445913367664675525097966702361454778202666415*a^53 + 
            15523180492073873174665952957384906164551602526224398125196657117025756119012063515974351746374357934572686935279608232967\
            7510353294444825236758441990329269792710045777287467759274805594600381173086263875*a^52 - 
            19403423581339247637980114741653771651578062719673495552766304327613794872766983945896096471445047037985059049742684760782\
            0188480757635176486634124267189472135842872977258367156627937223149433183153223578*a^51 + 
            24918290463900391569495859020192241008290790946494825218491725641800755683596235964641842201307393217991517701582609883525\
            76224717763082431677229949685166102606925273832136030150485677523898590796045556286*a^50 - 
            47715944084737452961984653528263305696221121168838736305275185792715504598336419448324523006690260885216254487466001069671\
            49059590737473165797368115229085031820212845134189073312004492079705556862648120250*a^49 + 
            70640442276484344268503604456207912877359061685121336304396848973504916688343176415491463542040968410770864691443451339693\
            19887278579566230625039081043786432096365157139974113797047916317066420899494146681*a^48 - 
            93526801324769131249708795084227731135930062059482567132238936507103923654825010894549188135012445326613968969165351856738\
            85136965775685826251990324537638409357529071974547430219033779660029352758636800623*a^47 + 
            11642021505176626386242368460172947257604224276149119102252648837159282599610123400228551901949022059464549374657045932086\
            769517244057517029082806235537621539388385529880674524976029064873415470265747293544*a^46 - 
            69276593944729542146629274358970734954780373488630451039300697416217512513263974806238577511306874850017057462538473440163\
            587049082204360023131427903016467661651226489707886620013360665188439355468718309917*a^45 + 
            10952700273854760914755034755954499261727045598888795529610338246652249795789341278905021691281500032317706479839690516077\
            8391362546925069658927723299304378576916816622993148806787319463041230261060473639708*a^44 - 
            15022339921440072549339251041424464162419327969955853756596245144951294091002578499447855187609076193816209483372584426172\
            8835079262613161340340892330336982443251853444779295453522105488729674543500997300525*a^43 + 
            19073121958793341641665745611504483692689918579298804304377216473687081410353521799345251125798889243868181929083735650910\
            5827854287935255372106568960920266906142245010475904922602481894758975110122760834013*a^42 - 
            23128492960373623040500067964138855636219573420009467526500192574013789129966358735412307533224810961727842724815926611360\
            4985871437702565459960433744905926360912649506151188671968682176405620567608062928648*a^41 + 
            10172981555864721429667712096131965056209428095837840078038728385879711537498661057315142546226733793177962749901293901240\
            75769292083785533150080866768961821064565968911837734413825791613239437018853567066573*a^40 - 
            16222912532427200820786748844581711517667673213809171966321947904174344358577238388662430901704465145195652443915942300478\
            27535240506481390511759746196564481895408132802254841671332692347604636417059986860045*a^39 + 
            22238311040920935676907161508734377528968723869879282485732890980191151601262751177042245873596830327558878125184569550452\
            46010724288562632150903822008772672941794244382933735373117676878696667342119821814299*a^38 - 
            28232014998634523382423109581863929238379097857603446854765341057200325859831436782518906748117021575676926118390534542382\
            50171332664117773106955367291556565098542306904527947292721331811448403806629308980547*a^37 + 
            34230495879173739845652026836487969514889375763276420641677807611626228814437756242633060210496323956224661208287798500755\
            78591930213245305128687004868251634943577576820944295713861917899925686435074137902174*a^36 - 
            10043032475568921712516015265061066841721375954058746132586472722536283021891819804463322301244866100796200106604308695223\
            363172437352861188337084484258828817290475198570583514395122458811884546914873700124309*a^35 + 
            20408966307908236739414684748015015504905920781172786589590205797874954867098232144953981923530800282351221298610983905840\
            987174102909671292243089457953150697335924228631646795395436859586413299258298040244151*a^34 - 
            37770006553681214042047432769248723880511713507862758611515090734200453497767371555248656020384463717764637990710076210564\
            824007311909087151306084849502245111472459623088064591528159065863844252022146045228376*a^33 + 
            55088643306634099418141240060905902647094952409392133037660744692576300943230045837567258331260792864700448897235211202529\
            462661246160326036638958192294566515732222240386935638436319382982044935515039735190884*a^32 - 
            72441996422467234884676433529071362682252126449623993501943886401466168365819561668546373698778880790740128413717660528141\
            875260356818964024033696246300517428694749748925262758981189658925605463180451181475132*a^31 + 
            11962342582549028498612080482117576803117548997554777556356434303233146753474404561285631729122557170297036482195051580448\
            7584664416358983382275819313056140335273172292815261967878510672739445987015265424462253*a^30 - 
            22519754759898685680436976365216798197814859062664263469147704276272926450889741777699180244708661277978101130414711008422\
            0495592916998477218409046770432897299657636932938099227560972652453025965637915170897352*a^29 + 
            49320884963533507871937712409170670200973299838387224170570214892673747370949989476046046971957586672121407383874901320160\
            500102813120545176180613559829386869188205551491213736289247695341876865974198993719160*a^28 + 
            12790028184502447651457201126516832138944940365438490468626945491345232938603497529095601089078452770989800051779126425717\
            3259120333453328153457605498523829661039088634611828438951656789575996241717159266138473*a^27 - 
            30675906239963840958988389337488665310300994440040060410535264025562435842589584234100847841063108740269872438055996371386\
            2581263294016127920518845768426911067883850678219607263927552487167068707659354937789318*a^26 + 
            39579165999952407705186200086390568658622104604537021099525310407682919649914615870535178958607858055409847841202485278489\
            5917967860893687766152299042309205964946884766187873020338924486807431048930474121427444*a^25 - 
            27955759391238830577369519125937674107032598139609262931473335953758513525179829907690917951600801938458504018417945207493\
            5361695326152293814878412076768077439314495087013746522531421147072561235489326377506151*a^24 - 
            27629358446308623033268593251670079336226071164476253169953015216122728347057289162737292800461288249914746600295870492346\
            51439939412865830046394581873213010385131334398771513122444891555114321465734695689597143*a^23 + 
            58064212146942106824905366666497465939138441800565089816061587903060715536116997728371733675543414884467666511367548240042\
            95545482127564047390794951048275112187289578479544152315539142806806229424438892874325902*a^22 - 
            88674421247757283108330434413347449214772292986638379479154750220045394919427383529905853801059601502399692149180632858680\
            16194474284457441435785308654358462561261075776462329690995521754206589805962170601207375*a^21 + 
            12076993256737955009433865739478711045400157630043415013718168275882578434343133522573490860340720426094630909357754712467\
            065062306047649873474953815642745604228337633106101725196854035794790002126666659741390644*a^20 - 
            15253764711010043267823807775504096568252505397722067027115428034681034306737050602360280519069068945368997791827255842377\
            852395560140734364277100791878208467682490269697770593847811724689688581035668331962818802*a^19 + 
            10714627967582291658705898625574784826626023633099355081178994893498377178497414717997206196091875766463943273240826373043\
            462630979605753478312510889005657285872371607779201164011430135541652307292363827365515244*a^18 - 
            70711927261151399557427845327618175511964960199146162004287498426219229897421090288200327213647026716930700741067633589864\
            96306290348329851971269189792528990647618487816637564666699918957727234601923099903187305*a^17 + 
            34414745366075892158817308512502134260438980386704108421818862201964442724270518161559287012446816850512480739505209435121\
            48220839313106869784077704328803869388902552364641454648945351599947615727083070617018693*a^16 + 
            35531218801105128829872493197482152037438098186671207529304478791392982222493116514955690622352212565040133594940550455825\
            671431455554906187508587441374090931345545204495843892203030539585076712403848584073385*a^15 - 
            40950423443899556941640367521207514550067684389221647455863157507749045418470121176375332177302113231218174146566160064310\
            71232335362473069394359529431555646137544370021314842882774153759824940810692307568500904*a^14 + 
            23395644607328512803632897918853504884321111183535487370676818802660605517892732728318902481614722335098099745040431401131\
            17648788572381647971076351226581742633586909401801271799124655551631746414423229807651197*a^13 - 
            19303669628247919666511729492975011298314090193008473401167517709502183105121559948069904483729201905810876589858627871807\
            57037187567266712636942729231422598281373571776466625164084664896192137687587768483983943*a^12 + 
            11476436238971126733322577633028599872377462928448085823069271657299139144234012812562216653460923459150827491847981700246\
            15191633911567445941998507887222422950177038451706373944229556251813099324675499343228373*a^11 - 
            33781184929710536248410652958525499751255615748700698036059426815908897159621357053198361885867761071211726818163607476449\
            7720603733430236312598963871919531537066994027012983532392959422904992781553822082036672*a^10 - 
            33593452653595444977687821525098740469679668139523396338535332123157491784980155067978466671428064548922403163301167134774\
            7338863568452680758075864919493310935847705290986511499298231903544260987607221695980978*a^9 + 
            24624663860352527890051337423362680981848334010388424937558470525553712802049363423197392458244774539077157086978763276377\
            3774013632433675223866873590142729838265717350329342746698773985836329807527215302244980*a^8 - 
            12592307926016198912070533411339419827081166283054478437014536839824742073865735388001134153124177523660985760703363583001\
            4775873585784219082168051294938922132032247176723990979443449970122677476838873141293782*a^7 + 
            76702249421316178850667527233518306718182546858545684163666157494460738461187210342844063152548734368453455658992146568488\
            644424256784614015948401253149415288235062440491640768374569905281439658311193940295454*a^6 - 
            37895240459543156820568454738249037616854060398994061850097246669328703566984667196609692180699065533588518591123471820887\
            115433289159567099408315922412913106242328310399536695570728017458145787881071876562887*a^5 + 
            11240087106805614843221904476178786437824594644439518630291573880656707527100120421210673807305349008583754305452586612355\
            506027158445175250424909295451036227678210394998447102475283327029253722588003824142366*a^4 - 
            24635626280903708366357802999670893565534622138815513002814802687241358126809717543344649806152957002036993527716468119452\
            47672532626684363385160944268542079519962125539089192211229024036915027893389510224794*a^3 + 
            35517812562716453488036864834710613809764771085198915419869244835376119372552559871883288673063022373003942694359735374232\
            8289063500508828356165110458000990702140598189915090310434579994948519964022929690995*a^2 - 
            47070439366449135848201495015583605557752599493733849815401809198977422511186547407059051894074945432215612259590115363433\
            660103184552039750995431986729838714481497350627466483515379641157997699559161182248*a + 
            17520746685350878935331707821126672493310067515958328100507859877450626647386719475816562667128764866374020999376630539738\
            38766593211943645789165681527640997225326005763253152003938389378270683216444028674)
    *], [* 1063, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1357,
    [ [* 415, -1 *], [* 1063, 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:=
[* 1357,
    [ [* 415, -1 *], [* 1063,
        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:=
[* 1358,
    [ [* 393, 1 *], [* 1165,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1358,
    [ [* 393, 1 *], [* 1165, -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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165, 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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165,
        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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165,
        -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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165,
        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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165, -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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165,
        -a^8 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 1
);
eps_on_gens:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165, 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:=
[* 1358,
    [ [* 393,
        a^3
    *], [* 1165,
        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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165,
        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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165, -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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165,
        -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:=
[* 1358,
    [ [* 393,
        a^3
    *], [* 1165,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165,
        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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165,
        -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:=
[* 1358,
    [ [* 393,
        a^3
    *], [* 1165,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165,
        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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165,
        -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:=
[* 1358,
    [ [* 393,
        a^3
    *], [* 1165,
        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:=
[* 1358,
    [ [* 393,
        a
    *], [* 1165, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1358,
    [ [* 393,
        a - 1
    *], [* 1165,
        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:=
[* 1358,
    [ [* 393,
        a - 1
    *], [* 1165, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1358,
    [ [* 393,
        a - 1
    *], [* 1165,
        -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:=
[* 1358,
    [ [* 393, -1 *], [* 1165,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1358,
    [ [* 393, -1 *], [* 1165, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1359,
    [ [* 1063, 1 *], [* 605,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1359,
    [ [* 1063, 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:=
[* 1359,
    [ [* 1063,
        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:=
[* 1359,
    [ [* 1063,
        a
    *], [* 605,
        a^25 - 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:=
[* 1359,
    [ [* 1063,
        a
    *], [* 605,
        -a^25
    *] ]
*]
;
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:=
[* 1359,
    [ [* 1063,
        a^2
    *], [* 605,
        a^25
    *] ]
*]
;
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:=
[* 1359,
    [ [* 1063,
        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^40 + x^35 - x^25 - x^20 - x^15 + x^5 + 1
);
eps_on_gens:=
[* 1359,
    [ [* 1063,
        a^2
    *], [* 605,
        -a^25 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1359,
    [ [* 1063,
        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:=
[* 1359,
    [ [* 1063,
        a^3
    *], [* 605,
        a^25 - 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:=
[* 1359,
    [ [* 1063,
        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:=
[* 1359,
    [ [* 1063,
        a
    *], [* 605,
        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:=
[* 1359,
    [ [* 1063,
        a
    *], [* 605,
        -a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^35 - x^25 - x^20 - x^15 + x^5 + 1
);
eps_on_gens:=
[* 1359,
    [ [* 1063,
        a^6
    *], [* 605,
        a^25
    *] ]
*]
;
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:=
[* 1359,
    [ [* 1063,
        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:=
[* 1359,
    [ [* 1063,
        a^2
    *], [* 605,
        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:=
[* 1359,
    [ [* 1063,
        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:=
[* 1359,
    [ [* 1063,
        a^2
    *], [* 605,
        -a^5 + 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:=
[* 1359,
    [ [* 1063,
        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:=
[* 1359,
    [ [* 1063,
        a^3
    *], [* 605,
        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:=
[* 1359,
    [ [* 1063,
        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:=
[* 1359,
    [ [* 1063,
        a
    *], [* 605,
        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:=
[* 1359,
    [ [* 1063,
        a
    *], [* 605,
        -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:=
[* 1359,
    [ [* 1063,
        a^6
    *], [* 605,
        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:=
[* 1359,
    [ [* 1063,
        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^2 - x + 1
);
eps_on_gens:=
[* 1359,
    [ [* 1063,
        a - 1
    *], [* 605,
        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:=
[* 1359,
    [ [* 1063,
        a - 1
    *], [* 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:=
[* 1359,
    [ [* 1063,
        a - 1
    *], [* 605,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 1359,
    [ [* 1063, -1 *], [* 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:=
[* 1359,
    [ [* 1063, -1 *], [* 605,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1360,
    [ [* 241, 1 *], [* 511, -1 *], [* 817, 1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241, 1 *], [* 511, -1 *], [* 817, 1 *], [* 341,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1360,
    [ [* 241, 1 *], [* 511, -1 *], [* 817, 1 *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241, 1 *], [* 511, 1 *], [* 817,
        a
    *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241, 1 *], [* 511, 1 *], [* 817,
        a
    *], [* 341,
        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:=
[* 1360,
    [ [* 241, 1 *], [* 511, 1 *], [* 817,
        a
    *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241, 1 *], [* 511, 1 *], [* 817,
        a
    *], [* 341,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1360,
    [ [* 241, 1 *], [* 511, -1 *], [* 817, -1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241, 1 *], [* 511, -1 *], [* 817, -1 *], [* 341,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1360,
    [ [* 241, 1 *], [* 511, -1 *], [* 817, -1 *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817, 1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817, 1 *], [* 341,
        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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817, 1 *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817, 1 *], [* 341,
        -a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817,
        a^4
    *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817,
        a^4
    *], [* 341,
        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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817,
        a^4
    *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817,
        a^4
    *], [* 341,
        -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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817, -1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817, -1 *], [* 341,
        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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817, -1 *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817, -1 *], [* 341,
        -a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817,
        -a^4
    *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817,
        -a^4
    *], [* 341,
        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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817,
        -a^4
    *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817,
        -a^4
    *], [* 341,
        -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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, 1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, 1 *], [* 341,
        a^2
    *] ]
*]
;
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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, 1 *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, 1 *], [* 341,
        -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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        a^2
    *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        a^2
    *], [* 341,
        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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        a^2
    *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        a^2
    *], [* 341,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, -1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, -1 *], [* 341,
        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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, -1 *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, -1 *], [* 341,
        -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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        -a^2
    *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        -a^2
    *], [* 341,
        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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        -a^2
    *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        -a^2
    *], [* 341,
        -a^2
    *] ]
*]
;
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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, 1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, 1 *], [* 341,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, 1 *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, 1 *], [* 341,
        -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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        a
    *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        a
    *], [* 341,
        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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        a
    *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        a
    *], [* 341,
        -a
    *] ]
*]
;
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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, -1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, -1 *], [* 341,
        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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, -1 *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, -1 *], [* 817, -1 *], [* 341,
        -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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        -a
    *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        -a
    *], [* 341,
        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:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        -a
    *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241,
        a
    *], [* 511, 1 *], [* 817,
        -a
    *], [* 341,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 1360,
    [ [* 241, -1 *], [* 511, -1 *], [* 817, 1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241, -1 *], [* 511, -1 *], [* 817, 1 *], [* 341,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1360,
    [ [* 241, -1 *], [* 511, -1 *], [* 817, 1 *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241, -1 *], [* 511, 1 *], [* 817,
        a
    *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241, -1 *], [* 511, 1 *], [* 817,
        a
    *], [* 341,
        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:=
[* 1360,
    [ [* 241, -1 *], [* 511, 1 *], [* 817,
        a
    *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241, -1 *], [* 511, 1 *], [* 817,
        a
    *], [* 341,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1360,
    [ [* 241, -1 *], [* 511, -1 *], [* 817, -1 *], [* 341, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1360,
    [ [* 241, -1 *], [* 511, -1 *], [* 817, -1 *], [* 341,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1360,
    [ [* 241, -1 *], [* 511, -1 *], [* 817, -1 *], [* 341, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^512 + x^504 - x^472 - x^464 + x^432 + x^424 - x^392 - x^384 - x^376 - x^368 + x^352 + x^344 + x^336 + x^328 - x^312 - x^304 - x^296 -
    x^288 + x^272 + x^264 + x^256 + x^248 + x^240 - x^224 - x^216 - x^208 - x^200 + x^184 + x^176 + x^168 + x^160 - x^144 - x^136 - 
    x^128 - x^120 + x^88 + x^80 - x^48 - x^40 + x^8 + 1
);
eps_on_gens:=
[* 1361,
    [ [* 3,
        a
    *] ]
*]
;
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:=
[* 1361,
    [ [* 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:=
[* 1361,
    [ [* 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:=
[* 1361,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1362,
    [ [* 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:=
[* 1362,
    [ [* 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:=
[* 1362,
    [ [* 229,
        a^2
    *], [* 455, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1362,
    [ [* 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^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1363,
    [ [* 988,
        a
    *], [* 146, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1363,
    [ [* 988,
        a
    *], [* 146, 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:=
[* 1363,
    [ [* 988, 1 *], [* 146,
        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:=
[* 1363,
    [ [* 988,
        a^23
    *], [* 146,
        a^7
    *] ]
*]
;
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:=
[* 1363,
    [ [* 988,
        a^46
    *], [* 146,
        a^7
    *] ]
*]
;
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:=
[* 1363,
    [ [* 988, -1 *], [* 146,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^264 + x^262 - x^250 - x^248 + x^236 + x^234 - x^222 - x^220 - x^218 - x^216 + x^208 + x^206 + x^204 + x^202 - x^194 - x^192 - x^190 -
    x^188 + x^180 + x^178 + x^176 + x^174 + x^172 + x^170 - x^166 - x^164 - x^162 - x^160 - x^158 - x^156 + x^152 + x^150 + x^148 + 
    x^146 + x^144 + x^142 - x^138 - x^136 - x^134 - x^132 - x^130 - x^128 - x^126 + x^122 + x^120 + x^118 + x^116 + x^114 + x^112 - 
    x^108 - x^106 - x^104 - x^102 - x^100 - x^98 + x^94 + x^92 + x^90 + x^88 + x^86 + x^84 - x^76 - x^74 - x^72 - x^70 + x^62 + x^60 + 
    x^58 + x^56 - x^48 - x^46 - x^44 - x^42 + x^30 + x^28 - x^16 - x^14 + x^2 + 1
);
eps_on_gens:=
[* 1363,
    [ [* 988,
        a^23
    *], [* 146,
        a^28
    *] ]
*]
;
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:=
[* 1363,
    [ [* 988,
        a^23
    *], [* 146,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1363,
    [ [* 988, 1 *], [* 146, -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:=
[* 1363,
    [ [* 988,
        a
    *], [* 146, -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:=
[* 1363,
    [ [* 988,
        a^2
    *], [* 146, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1363,
    [ [* 988, -1 *], [* 146, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1364,
    [ [* 1057, 1 *], [* 497, 1 *], [* 683, -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:=
[* 1364,
    [ [* 1057, 1 *], [* 497,
        a
    *], [* 683, 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:=
[* 1364,
    [ [* 1057, 1 *], [* 497,
        a^2
    *], [* 683, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1364,
    [ [* 1057, 1 *], [* 497, -1 *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497, 1 *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        a^3
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        a^6
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        a^7 + a^6 - a^3 - a^2 + 1
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        a^7 - a^2
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497, -1 *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        -a^3
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        -a^6
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        -a^7 - a^6 + a^3 + a^2 - 1
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        -a^7 + a^2
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497, 1 *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        a^3
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        a^6
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        a^7 + a^6 - a^3 - a^2 + 1
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        a^7 - a^2
    *], [* 683, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
3
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497, -1 *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        -a^3
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        -a^6
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        -a^7 - a^6 + a^3 + a^2 - 1
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        -a^7 + a^2
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497, 1 *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        a
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        a^2
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        a^3
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        a^3 - a^2 + a - 1
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497, -1 *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        -a
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        -a^2
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        -a^3
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497,
        -a^3 + a^2 - a + 1
    *], [* 683, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497, 1 *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a^5
    *], [* 497,
        a^3
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^5
    *], [* 497,
        a^6
    *], [* 683, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1364,
    [ [* 1057,
        a
    *], [* 497, -1 *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497, 1 *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        a
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        a^2
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        a^3
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        a^3 - a^2 + a - 1
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        1/155*(-24*a^7 - 81*a^6 - 234*a^5 - 375*a^4 - 520*a^3 - 459*a^2 - 546*a - 29)
    *], [* 497, -1 *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        -a
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        -a^2
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        -a^3
    *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^2
    *], [* 497,
        -a^3 + a^2 - a + 1
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a - 1
    *], [* 497, 1 *], [* 683, -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:=
[* 1364,
    [ [* 1057,
        a^5 - 1
    *], [* 497,
        a^3
    *], [* 683, 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:=
[* 1364,
    [ [* 1057,
        a^5 - 1
    *], [* 497,
        a^6
    *], [* 683, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
3
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1364,
    [ [* 1057,
        a - 1
    *], [* 497, -1 *], [* 683, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1364,
    [ [* 1057, -1 *], [* 497, 1 *], [* 683, 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:=
[* 1364,
    [ [* 1057, -1 *], [* 497,
        a
    *], [* 683, -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 + 6*x^4 - 4*x^2 + 1
);
eps_on_gens:=
[* 1364,
    [ [* 1057, -1 *], [* 497,
        1/11*(-7*a^6 - 8*a^4 - 40*a^2 + 16)
    *], [* 683, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1364,
    [ [* 1057, -1 *], [* 497, -1 *], [* 683, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1365,
    [ [* 106, 1 *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106, 1 *], [* 976, 1 *], [* 911, 1 *], [* 547,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1365,
    [ [* 106, 1 *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106, 1 *], [* 976,
        a
    *], [* 911, 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:=
[* 1365,
    [ [* 106, 1 *], [* 976,
        a^2
    *], [* 911, -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:=
[* 1365,
    [ [* 106, 1 *], [* 976,
        a
    *], [* 911, 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:=
[* 1365,
    [ [* 106, 1 *], [* 976,
        a - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106, 1 *], [* 976,
        a^2 - 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106, 1 *], [* 976,
        a - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106, 1 *], [* 976, -1 *], [* 911, 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:=
[* 1365,
    [ [* 106, 1 *], [* 976, -1 *], [* 911, -1 *], [* 547,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1365,
    [ [* 106, 1 *], [* 976, -1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, 1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, 1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, 1 *], [* 911, -1 *], [* 547,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a^2
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a^2
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a^2
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a^2
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a^2 - 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a^2 - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a^2 - 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a^2 - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, -1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, -1 *], [* 911, 1 *], [* 547,
        a^3
    *] ]
*]
;
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:=
[* 1365,
    [ [* 106,
        1/15*(3*a^6 + 10*a^4 + 35*a^2 - 8)
    *], [* 976, -1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, -1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a^2
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a^2
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a^2
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a^2
    *], [* 911, -1 *], [* 547,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a^2 + 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a^2 + 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a^2 + 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a^2 + 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a^2
    *], [* 976, 1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a^2
    *], [* 976,
        a^2
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a
    *], [* 911, 1 *], [* 547, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a^2
    *], [* 976,
        a^2 - 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        a - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, -1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a^2
    *], [* 976, -1 *], [* 911, -1 *], [* 547,
        a^3
    *] ]
*]
;
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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, -1 *], [* 911, 1 *], [* 547, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a^2
    *], [* 976,
        -a^2
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a + 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a^2
    *], [* 976,
        -a^2 + 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976,
        -a + 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, 1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, 1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a^3
    *], [* 976,
        a^2
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a^3
    *], [* 976,
        a^2
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a^3
    *], [* 976,
        a^2
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a^3
    *], [* 976,
        a^2
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a^3
    *], [* 976,
        a^2 - 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a^3
    *], [* 976,
        a^2 - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a^3
    *], [* 976,
        a^2 - 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a^3
    *], [* 976,
        a^2 - 1
    *], [* 911, -1 *], [* 547,
        -a^3
    *] ]
*]
;
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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, -1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, -1 *], [* 911, 1 *], [* 547,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^2 + 9
);
eps_on_gens:=
[* 1365,
    [ [* 106,
        1/6*(a^3 + a)
    *], [* 976, -1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a
    *], [* 976, -1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a^2 - 1
    *], [* 976, 1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976,
        a
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a^2 - 1
    *], [* 976,
        a^2
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976,
        a
    *], [* 911, 1 *], [* 547, -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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976,
        a - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a^2 - 1
    *], [* 976,
        a^2 - 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976,
        a - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976, -1 *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a^2 - 1
    *], [* 976, -1 *], [* 911, -1 *], [* 547,
        a^3
    *] ]
*]
;
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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976, -1 *], [* 911, 1 *], [* 547, -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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976,
        -a
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a^2 - 1
    *], [* 976,
        -a^2
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976,
        -a
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976,
        -a + 1
    *], [* 911, 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:=
[* 1365,
    [ [* 106,
        a^2 - 1
    *], [* 976,
        -a^2 + 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106,
        a - 1
    *], [* 976,
        -a + 1
    *], [* 911, 1 *], [* 547, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1365,
    [ [* 106, -1 *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106, -1 *], [* 976, 1 *], [* 911, 1 *], [* 547,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1365,
    [ [* 106, -1 *], [* 976, 1 *], [* 911, -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:=
[* 1365,
    [ [* 106, -1 *], [* 976,
        a
    *], [* 911, 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:=
[* 1365,
    [ [* 106, -1 *], [* 976,
        a^2
    *], [* 911, -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:=
[* 1365,
    [ [* 106, -1 *], [* 976,
        a
    *], [* 911, 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:=
[* 1365,
    [ [* 106, -1 *], [* 976,
        a - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106, -1 *], [* 976,
        a^2 - 1
    *], [* 911, 1 *], [* 547,
        a^3
    *] ]
*]
;
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:=
[* 1365,
    [ [* 106, -1 *], [* 976,
        a - 1
    *], [* 911, -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:=
[* 1365,
    [ [* 106, -1 *], [* 976, -1 *], [* 911, 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:=
[* 1365,
    [ [* 106, -1 *], [* 976, -1 *], [* 911, -1 *], [* 547,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 1365,
    [ [* 106, -1 *], [* 976, -1 *], [* 911, 1 *], [* 547, -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^289 - x^288 + x^278 + x^277 - x^269 - x^268 - x^267 - x^266 + x^258 + x^257 + x^256 + x^255 - x^247 - x^246 - x^245 -
    x^244 + x^238 + x^237 + x^236 + x^235 + x^234 + x^233 - x^227 - x^226 - x^225 - x^224 - x^223 - x^222 + x^216 + x^215 + x^214 + 
    x^213 + x^212 + x^211 - x^207 - x^206 - x^205 - x^204 - x^203 - x^202 - x^201 - x^200 + x^196 + x^195 + x^194 + x^193 + x^192 + 
    x^191 + x^190 + x^189 - x^185 - x^184 - x^183 - x^182 - x^181 - x^180 - x^179 - x^178 + x^176 + x^175 + x^174 + x^173 + x^172 + 
    x^171 + x^170 + x^169 + x^168 + x^167 - x^165 - x^164 - x^163 - x^162 - x^161 - x^160 - x^159 - x^158 - x^157 - x^156 + x^154 + 
    x^153 + x^152 + x^151 + x^150 + x^149 + x^148 + x^147 + x^146 - x^144 - x^143 - x^142 - x^141 - x^140 - x^139 - x^138 - x^137 - 
    x^136 - x^135 + x^133 + x^132 + x^131 + x^130 + x^129 + x^128 + x^127 + x^126 + x^125 + x^124 - x^122 - x^121 - x^120 - x^119 - 
    x^118 - x^117 - x^116 - x^115 + x^111 + x^110 + x^109 + x^108 + x^107 + x^106 + x^105 + x^104 - x^100 - x^99 - x^98 - x^97 - x^96 -
    x^95 - x^94 - x^93 + x^89 + x^88 + x^87 + x^86 + x^85 + x^84 - x^78 - x^77 - x^76 - x^75 - x^74 - x^73 + x^67 + x^66 + x^65 + x^64 
    + x^63 + x^62 - x^56 - x^55 - x^54 - x^53 + x^45 + x^44 + x^43 + x^42 - x^34 - x^33 - x^32 - x^31 + x^23 + x^22 - x^12 - x^11 + x +
    1
);
eps_on_gens:=
[* 1366,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - 
    x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1366,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1366,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1366,
    [ [* 5, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^682 - x^681 + x^680 - x^679 + x^678 - x^677 + x^676 - x^675 + x^674 - x^673 + x^672 - x^671 + x^670 - x^669 + x^668 - x^667 + x^666 -
    x^665 + x^664 - x^663 + x^662 - x^661 + x^660 - x^659 + x^658 - x^657 + x^656 - x^655 + x^654 - x^653 + x^652 - x^651 + x^650 - 
    x^649 + x^648 - x^647 + x^646 - x^645 + x^644 - x^643 + x^642 - x^641 + x^640 - x^639 + x^638 - x^637 + x^636 - x^635 + x^634 - 
    x^633 + x^632 - x^631 + x^630 - x^629 + x^628 - x^627 + x^626 - x^625 + x^624 - x^623 + x^622 - x^621 + x^620 - x^619 + x^618 - 
    x^617 + x^616 - x^615 + x^614 - x^613 + x^612 - x^611 + x^610 - x^609 + x^608 - x^607 + x^606 - x^605 + x^604 - x^603 + x^602 - 
    x^601 + x^600 - x^599 + x^598 - x^597 + x^596 - x^595 + x^594 - x^593 + x^592 - x^591 + x^590 - x^589 + x^588 - x^587 + x^586 - 
    x^585 + x^584 - x^583 + x^582 - x^581 + x^580 - x^579 + x^578 - x^577 + x^576 - x^575 + x^574 - x^573 + x^572 - x^571 + x^570 - 
    x^569 + x^568 - x^567 + x^566 - x^565 + x^564 - x^563 + x^562 - x^561 + x^560 - x^559 + x^558 - x^557 + x^556 - x^555 + x^554 - 
    x^553 + x^552 - x^551 + x^550 - x^549 + x^548 - x^547 + x^546 - x^545 + x^544 - x^543 + x^542 - x^541 + x^540 - x^539 + x^538 - 
    x^537 + x^536 - x^535 + x^534 - x^533 + x^532 - x^531 + x^530 - x^529 + x^528 - x^527 + x^526 - x^525 + x^524 - x^523 + x^522 - 
    x^521 + x^520 - x^519 + x^518 - x^517 + x^516 - x^515 + x^514 - x^513 + x^512 - x^511 + x^510 - x^509 + x^508 - x^507 + x^506 - 
    x^505 + x^504 - x^503 + x^502 - x^501 + x^500 - x^499 + x^498 - x^497 + x^496 - x^495 + x^494 - x^493 + x^492 - x^491 + x^490 - 
    x^489 + x^488 - x^487 + x^486 - x^485 + x^484 - x^483 + x^482 - x^481 + x^480 - x^479 + x^478 - x^477 + x^476 - x^475 + x^474 - 
    x^473 + x^472 - x^471 + x^470 - x^469 + x^468 - x^467 + x^466 - x^465 + x^464 - x^463 + x^462 - x^461 + x^460 - x^459 + x^458 - 
    x^457 + x^456 - x^455 + x^454 - x^453 + x^452 - x^451 + x^450 - x^449 + x^448 - x^447 + x^446 - x^445 + x^444 - x^443 + x^442 - 
    x^441 + x^440 - x^439 + x^438 - x^437 + x^436 - x^435 + x^434 - x^433 + x^432 - x^431 + x^430 - x^429 + x^428 - x^427 + x^426 - 
    x^425 + x^424 - x^423 + x^422 - x^421 + x^420 - x^419 + x^418 - x^417 + x^416 - x^415 + x^414 - x^413 + x^412 - x^411 + x^410 - 
    x^409 + x^408 - x^407 + x^406 - x^405 + x^404 - x^403 + x^402 - x^401 + x^400 - x^399 + x^398 - x^397 + x^396 - x^395 + x^394 - 
    x^393 + x^392 - x^391 + x^390 - x^389 + x^388 - x^387 + x^386 - x^385 + x^384 - x^383 + x^382 - x^381 + x^380 - x^379 + x^378 - 
    x^377 + x^376 - x^375 + x^374 - x^373 + x^372 - x^371 + x^370 - x^369 + x^368 - x^367 + x^366 - x^365 + x^364 - x^363 + x^362 - 
    x^361 + x^360 - x^359 + x^358 - x^357 + x^356 - x^355 + x^354 - x^353 + x^352 - x^351 + x^350 - x^349 + x^348 - x^347 + x^346 - 
    x^345 + x^344 - x^343 + x^342 - x^341 + x^340 - x^339 + x^338 - x^337 + x^336 - x^335 + x^334 - x^333 + x^332 - x^331 + x^330 - 
    x^329 + x^328 - x^327 + x^326 - x^325 + x^324 - x^323 + x^322 - x^321 + x^320 - x^319 + x^318 - x^317 + x^316 - x^315 + x^314 - 
    x^313 + x^312 - x^311 + x^310 - x^309 + x^308 - x^307 + x^306 - x^305 + x^304 - x^303 + x^302 - x^301 + x^300 - x^299 + x^298 - 
    x^297 + x^296 - x^295 + x^294 - x^293 + x^292 - x^291 + x^290 - x^289 + x^288 - x^287 + x^286 - x^285 + x^284 - x^283 + x^282 - 
    x^281 + x^280 - x^279 + x^278 - x^277 + x^276 - x^275 + x^274 - x^273 + x^272 - x^271 + x^270 - x^269 + x^268 - x^267 + x^266 - 
    x^265 + x^264 - x^263 + x^262 - x^261 + x^260 - x^259 + x^258 - x^257 + x^256 - x^255 + x^254 - x^253 + x^252 - x^251 + x^250 - 
    x^249 + x^248 - x^247 + x^246 - x^245 + x^244 - x^243 + x^242 - x^241 + x^240 - x^239 + x^238 - x^237 + x^236 - x^235 + x^234 - 
    x^233 + x^232 - x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - x^219 + x^218 - 
    x^217 + x^216 - x^215 + x^214 - x^213 + x^212 - x^211 + x^210 - x^209 + x^208 - x^207 + x^206 - x^205 + x^204 - x^203 + x^202 - 
    x^201 + x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + x^194 - x^193 + x^192 - x^191 + x^190 - x^189 + x^188 - x^187 + x^186 - 
    x^185 + x^184 - x^183 + x^182 - x^181 + x^180 - x^179 + x^178 - x^177 + x^176 - x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - 
    x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + x^156 - x^155 + x^154 - 
    x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + x^140 - x^139 + x^138 - 
    x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - 
    x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - 
    x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 -
    x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 
    + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + 
    x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 
    - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - 
    x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1367,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1367,
    [ [* 5, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1368,
    [ [* 1009, 1 *], [* 343, -1 *], [* 1217, 1 *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1368,
    [ [* 1009, 1 *], [* 343, -1 *], [* 1217, 1 *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009, 1 *], [* 343, 1 *], [* 1217,
        a
    *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009, 1 *], [* 343, 1 *], [* 1217,
        a
    *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009, 1 *], [* 343, -1 *], [* 1217,
        a - 1
    *], [* 685, 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:=
[* 1368,
    [ [* 1009, 1 *], [* 343, -1 *], [* 1217,
        a - 1
    *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1368,
    [ [* 1009, 1 *], [* 343, 1 *], [* 1217, -1 *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1368,
    [ [* 1009, 1 *], [* 343, 1 *], [* 1217, -1 *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217, 1 *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217, 1 *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217,
        a^3
    *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217,
        a^3
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217,
        a^3 - 1
    *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217,
        a^3 - 1
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217, -1 *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217, -1 *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217,
        -a^3
    *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217,
        -a^3
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217,
        -a^3 + 1
    *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217,
        -a^3 + 1
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, -1 *], [* 1217, 1 *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, -1 *], [* 1217, 1 *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, 1 *], [* 1217,
        a^3
    *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, 1 *], [* 1217,
        a^3
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, -1 *], [* 1217,
        a^3 - 1
    *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, -1 *], [* 1217,
        a^3 - 1
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, 1 *], [* 1217, -1 *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, 1 *], [* 1217, -1 *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, -1 *], [* 1217,
        -a^3
    *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, -1 *], [* 1217,
        -a^3
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, 1 *], [* 1217,
        -a^3 + 1
    *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a^2
    *], [* 343, 1 *], [* 1217,
        -a^3 + 1
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217, 1 *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217, 1 *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217,
        a
    *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217,
        a
    *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217,
        a - 1
    *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217,
        a - 1
    *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217, -1 *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217, -1 *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217,
        -a
    *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, 1 *], [* 1217,
        -a
    *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217,
        -a + 1
    *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a
    *], [* 343, -1 *], [* 1217,
        -a + 1
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a - 1
    *], [* 343, -1 *], [* 1217, 1 *], [* 685, 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:=
[* 1368,
    [ [* 1009,
        a - 1
    *], [* 343, -1 *], [* 1217, 1 *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a - 1
    *], [* 343, 1 *], [* 1217,
        a
    *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a - 1
    *], [* 343, 1 *], [* 1217,
        a
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a - 1
    *], [* 343, -1 *], [* 1217,
        a - 1
    *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 5*x^2 - 4*x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        -2*a^3 + 3*a^2 - 8*a + 3
    *], [* 343, -1 *], [* 1217,
        -2*a^3 + 3*a^2 - 8*a + 3
    *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a - 1
    *], [* 343, 1 *], [* 1217, -1 *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 16*x^4 + 256
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        -1/16*a^4
    *], [* 343, 1 *], [* 1217, -1 *], [* 685, -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:=
[* 1368,
    [ [* 1009,
        a - 1
    *], [* 343, -1 *], [* 1217,
        -a
    *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        -a^2
    *], [* 343, -1 *], [* 1217,
        a^2 - 1
    *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a - 1
    *], [* 343, 1 *], [* 1217,
        -a + 1
    *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009,
        a - 1
    *], [* 343, 1 *], [* 1217,
        -a + 1
    *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1368,
    [ [* 1009, -1 *], [* 343, 1 *], [* 1217, 1 *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1368,
    [ [* 1009, -1 *], [* 343, 1 *], [* 1217, 1 *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1368,
    [ [* 1009, -1 *], [* 343, -1 *], [* 1217,
        a
    *], [* 685, 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:=
[* 1368,
    [ [* 1009, -1 *], [* 343, -1 *], [* 1217,
        a
    *], [* 685, -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:=
[* 1368,
    [ [* 1009, -1 *], [* 343, 1 *], [* 1217,
        a - 1
    *], [* 685, 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:=
[* 1368,
    [ [* 1009, -1 *], [* 343, 1 *], [* 1217,
        1/3*(-a^5 - 3*a^3 - a^2 - 9*a - 3)
    *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1368,
    [ [* 1009, -1 *], [* 343, -1 *], [* 1217, -1 *], [* 685, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1368,
    [ [* 1009, -1 *], [* 343, -1 *], [* 1217, -1 *], [* 685, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^432 + x^426 - x^414 - x^408 + x^396 + x^390 - x^378 - x^372 + x^360 + x^354 - x^342 - x^336 + x^324 + x^318 - x^306 - x^300 + x^288 +
    x^282 - x^270 - x^264 + x^252 + x^246 - x^234 - x^228 + x^216 - x^204 - x^198 + x^186 + x^180 - x^168 - x^162 + x^150 + x^144 - 
    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:=
[* 1369,
    [ [* 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^138 - x^136 + x^132 + x^130 - x^126 - x^124 + x^120 + x^118 - x^114 - x^112 + x^108 + x^106 - x^102 - x^100 + x^96 + 
    x^94 - x^90 - x^88 + x^84 + x^82 - x^78 - x^76 + 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:=
[* 1369,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 - x^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:=
[* 1369,
    [ [* 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:=
[* 1369,
    [ [* 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:=
[* 1369,
    [ [* 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:=
[* 1369,
    [ [* 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:=
[* 1370,
    [ [* 551, 1 *], [* 1097,
        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:=
[* 1370,
    [ [* 551,
        a
    *], [* 1097, 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:=
[* 1370,
    [ [* 551,
        a
    *], [* 1097, -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:=
[* 1370,
    [ [* 551,
        a
    *], [* 1097,
        a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1370,
    [ [* 551,
        a
    *], [* 1097,
        -a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1370,
    [ [* 551,
        a^2
    *], [* 1097,
        a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1370,
    [ [* 551,
        a^4
    *], [* 1097,
        a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1370,
    [ [* 551,
        a
    *], [* 1097, 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:=
[* 1370,
    [ [* 551,
        a
    *], [* 1097, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1370,
    [ [* 551,
        a
    *], [* 1097,
        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:=
[* 1370,
    [ [* 551,
        a
    *], [* 1097,
        -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:=
[* 1370,
    [ [* 551, -1 *], [* 1097,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1371,
    [ [* 13, 1 *], [* 458, -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:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, 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:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, -1 *] ]
*]
;
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:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, 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:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, -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:=
[* 1371,
    [ [* 13,
        a^2
    *], [* 458, -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:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, -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:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, 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:=
[* 1371,
    [ [* 13,
        a^2
    *], [* 458, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, -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:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, -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:=
[* 1371,
    [ [* 13,
        a
    *], [* 458, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1371,
    [ [* 13,
        a - 1
    *], [* 458, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1371,
    [ [* 13, -1 *], [* 458, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1372,
    [ [* 689, 1 *], [* 687, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^84 + x^77 - x^63 - x^56 + x^42 - x^28 - x^21 + x^7 + 1
);
eps_on_gens:=
[* 1372,
    [ [* 689,
        a
    *], [* 687, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^84 + x^77 - x^63 - x^56 + x^42 - x^28 - x^21 + x^7 + 1
);
eps_on_gens:=
[* 1372,
    [ [* 689,
        a^2
    *], [* 687, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1
);
eps_on_gens:=
[* 1372,
    [ [* 689,
        a
    *], [* 687, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1
);
eps_on_gens:=
[* 1372,
    [ [* 689,
        a^2
    *], [* 687, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1372,
    [ [* 689,
        a
    *], [* 687, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1372,
    [ [* 689,
        a^2
    *], [* 687, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1372,
    [ [* 689,
        a
    *], [* 687, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1372,
    [ [* 689,
        a^2
    *], [* 687, -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:=
[* 1372,
    [ [* 689,
        a
    *], [* 687, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
2
;
C<a>:=NumberField(
x^12 - 7*x^10 + 35*x^8 - 84*x^6 + 147*x^4 - 98*x^2 + 49
);
eps_on_gens:=
[* 1372,
    [ [* 689,
        1/637*(10*a^10 - 63*a^8 + 315*a^6 - 665*a^4 + 1323*a^2 - 882)
    *], [* 687, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 1372,
    [ [* 689, -1 *], [* 687, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^588 - x^490 + x^392 - x^294 + x^196 - x^98 + 1
);
eps_on_gens:=
[* 1373,
    [ [* 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^70 + x^56 - x^42 + x^28 - x^14 + 1
);
eps_on_gens:=
[* 1373,
    [ [* 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:=
[* 1373,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1373,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1374,
    [ [* 235, 1 *], [* 917, -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:=
[* 1374,
    [ [* 235,
        a
    *], [* 917, 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:=
[* 1374,
    [ [* 235,
        a
    *], [* 917, -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:=
[* 1374,
    [ [* 235,
        a
    *], [* 917, 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:=
[* 1374,
    [ [* 235,
        a^2
    *], [* 917, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
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:=
[* 1374,
    [ [* 235,
        a
    *], [* 917, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
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:=
[* 1374,
    [ [* 235,
        a^2
    *], [* 917, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1374,
    [ [* 235,
        a
    *], [* 917, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1374,
    [ [* 235,
        a
    *], [* 917, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1374,
    [ [* 235,
        a
    *], [* 917, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1374,
    [ [* 235,
        a - 1
    *], [* 917, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 1374,
    [ [* 235, -1 *], [* 917, -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:=
[* 1375,
    [ [* 1002,
        a
    *], [* 376, 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:=
[* 1375,
    [ [* 1002,
        a
    *], [* 376, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1375,
    [ [* 1002,
        a
    *], [* 376, 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:=
[* 1375,
    [ [* 1002, 1 *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        a
    *], [* 376,
        a^5
    *] ]
*]
;
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:=
[* 1375,
    [ [* 1002,
        a^2
    *], [* 376,
        a^5
    *] ]
*]
;
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:=
[* 1375,
    [ [* 1002,
        a^3
    *], [* 376,
        a^5
    *] ]
*]
;
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:=
[* 1375,
    [ [* 1002,
        a^4
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        a
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        a^6
    *], [* 376,
        a^5
    *] ]
*]
;
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:=
[* 1375,
    [ [* 1002,
        a^7
    *], [* 376,
        a^5
    *] ]
*]
;
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:=
[* 1375,
    [ [* 1002,
        a^8
    *], [* 376,
        a^5
    *] ]
*]
;
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:=
[* 1375,
    [ [* 1002,
        a^9
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        a^2
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        a^3
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        a^3 - a^2 + a - 1
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002, -1 *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        -a
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        -a^2
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        -a^3
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        -a^3 + a^2 - a + 1
    *], [* 376,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1375,
    [ [* 1002,
        a
    *], [* 376,
        a^20
    *] ]
*]
;
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:=
[* 1375,
    [ [* 1002,
        a^3
    *], [* 376,
        a^20
    *] ]
*]
;
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:=
[* 1375,
    [ [* 1002,
        a
    *], [* 376,
        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^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1375,
    [ [* 1002,
        a^7
    *], [* 376,
        a^20
    *] ]
*]
;
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:=
[* 1375,
    [ [* 1002,
        a^9
    *], [* 376,
        a^20
    *] ]
*]
;
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:=
[* 1375,
    [ [* 1002,
        a^3
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        a^5
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        a^7
    *], [* 376,
        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:=
[* 1375,
    [ [* 1002,
        a^7 - a^5 + a^3 - a
    *], [* 376,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1375,
    [ [* 1002, 1 *], [* 376, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1375,
    [ [* 1002,
        a
    *], [* 376, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1375,
    [ [* 1002,
        a^2
    *], [* 376, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 - 4*x^6 + 6*x^4 + x^2 + 1
);
eps_on_gens:=
[* 1375,
    [ [* 1002,
        1/11*(3*a^6 - 13*a^4 + 26*a^2 - 2)
    *], [* 376, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
2
;
C<a>:=NumberField(
x^8 + 10*x^4 + 25*x^2 + 25
);
eps_on_gens:=
[* 1375,
    [ [* 1002,
        1/55*(a^6 - 3*a^4 + 30*a^2 - 10)
    *], [* 376, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 1375,
    [ [* 1002, -1 *], [* 376, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1376,
    [ [* 517, 1 *], [* 1121, 1 *], [* 1119, -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:=
[* 1376,
    [ [* 517,
        a
    *], [* 1121, 1 *], [* 1119, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517,
        a
    *], [* 1121, 1 *], [* 1119, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1376,
    [ [* 517, -1 *], [* 1121, 1 *], [* 1119, -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:=
[* 1376,
    [ [* 517, 1 *], [* 1121,
        a
    *], [* 1119, 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^36 - x^32 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517,
        a^21
    *], [* 1121,
        a^4
    *], [* 1119, 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:=
[* 1376,
    [ [* 517,
        a^21
    *], [* 1121,
        a^2
    *], [* 1119, 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:=
[* 1376,
    [ [* 517, -1 *], [* 1121,
        a
    *], [* 1119, 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:=
[* 1376,
    [ [* 517, 1 *], [* 1121,
        a^2
    *], [* 1119, -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^36 - x^32 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517,
        a^21
    *], [* 1121,
        a^8
    *], [* 1119, -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:=
[* 1376,
    [ [* 517,
        a^21
    *], [* 1121,
        a^4
    *], [* 1119, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517, -1 *], [* 1121,
        a^2
    *], [* 1119, -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:=
[* 1376,
    [ [* 517, 1 *], [* 1121,
        a
    *], [* 1119, 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:=
[* 1376,
    [ [* 517,
        a^7
    *], [* 1121,
        a^4
    *], [* 1119, 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:=
[* 1376,
    [ [* 517,
        a^7
    *], [* 1121,
        a^2
    *], [* 1119, 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:=
[* 1376,
    [ [* 517, -1 *], [* 1121,
        a
    *], [* 1119, 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:=
[* 1376,
    [ [* 517, 1 *], [* 1121,
        a^2
    *], [* 1119, -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:=
[* 1376,
    [ [* 517,
        a^7
    *], [* 1121,
        a^8
    *], [* 1119, -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:=
[* 1376,
    [ [* 517,
        a^7
    *], [* 1121,
        a^4
    *], [* 1119, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517, -1 *], [* 1121,
        a^2
    *], [* 1119, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517, 1 *], [* 1121,
        a
    *], [* 1119, 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:=
[* 1376,
    [ [* 517,
        a^3
    *], [* 1121,
        a^4
    *], [* 1119, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517,
        a^3
    *], [* 1121,
        a^2
    *], [* 1119, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517, -1 *], [* 1121,
        a
    *], [* 1119, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
4
;
C<a>:=NumberField(
x^8 - 3*x^6 + 8*x^4 - 3*x^2 + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517, 1 *], [* 1121,
        1/8*(-3*a^6 + 8*a^4 - 24*a^2 + 1)
    *], [* 1119, -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:=
[* 1376,
    [ [* 517,
        a^3
    *], [* 1121,
        a^4 - 1
    *], [* 1119, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517,
        a^3
    *], [* 1121,
        a^2 - 1
    *], [* 1119, -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:=
[* 1376,
    [ [* 517, -1 *], [* 1121,
        a^2 - 1
    *], [* 1119, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1376,
    [ [* 517, 1 *], [* 1121, -1 *], [* 1119, 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:=
[* 1376,
    [ [* 517,
        a
    *], [* 1121, -1 *], [* 1119, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1376,
    [ [* 517,
        a
    *], [* 1121, -1 *], [* 1119, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1376,
    [ [* 517, -1 *], [* 1121, -1 *], [* 1119, 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:=
[* 1377,
    [ [* 1055,
        a
    *], [* 649, 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:=
[* 1377,
    [ [* 1055,
        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:=
[* 1377,
    [ [* 1055,
        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:=
[* 1377,
    [ [* 1055, -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:=
[* 1377,
    [ [* 1055, 1 *], [* 649,
        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:=
[* 1377,
    [ [* 1055,
        a^16
    *], [* 649,
        a^27
    *] ]
*]
;
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:=
[* 1377,
    [ [* 1055,
        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:=
[* 1377,
    [ [* 1055,
        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^72 - x^36 + 1
);
eps_on_gens:=
[* 1377,
    [ [* 1055,
        a^4
    *], [* 649,
        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^12 + 1
);
eps_on_gens:=
[* 1377,
    [ [* 1055,
        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:=
[* 1377,
    [ [* 1055,
        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:=
[* 1377,
    [ [* 1055, -1 *], [* 649,
        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:=
[* 1377,
    [ [* 1055,
        a^2
    *], [* 649,
        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:=
[* 1377,
    [ [* 1055,
        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:=
[* 1377,
    [ [* 1055,
        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:=
[* 1377,
    [ [* 1055, -1 *], [* 649,
        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:=
[* 1377,
    [ [* 1055,
        a
    *], [* 649, -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:=
[* 1377,
    [ [* 1055,
        a
    *], [* 649, -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:=
[* 1377,
    [ [* 1055,
        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:=
[* 1377,
    [ [* 1055, -1 *], [* 649, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1378,
    [ [* 743,
        a
    *], [* 1327, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1378,
    [ [* 743,
        a
    *], [* 1327, 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:=
[* 1378,
    [ [* 743, 1 *], [* 1327,
        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:=
[* 1378,
    [ [* 743,
        a^26
    *], [* 1327,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^42 - x^40 + x^36 + x^34 - x^30 - x^28 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1378,
    [ [* 743,
        a^26 - 1
    *], [* 1327,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1378,
    [ [* 743, -1 *], [* 1327,
        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:=
[* 1378,
    [ [* 743,
        a^13
    *], [* 1327,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1378,
    [ [* 743,
        a^13
    *], [* 1327,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^42 - x^40 + x^36 + x^34 - x^30 - x^28 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1378,
    [ [* 743,
        a^13
    *], [* 1327,
        a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1378,
    [ [* 743,
        a^13
    *], [* 1327,
        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:=
[* 1378,
    [ [* 743, 1 *], [* 1327,
        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:=
[* 1378,
    [ [* 743,
        a^2
    *], [* 1327,
        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:=
[* 1378,
    [ [* 743,
        a^2 - 1
    *], [* 1327,
        a^3
    *] ]
*]
;
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:=
[* 1378,
    [ [* 743, -1 *], [* 1327,
        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:=
[* 1378,
    [ [* 743,
        a
    *], [* 1327, -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:=
[* 1378,
    [ [* 743,
        a
    *], [* 1327, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1379,
    [ [* 395,
        a
    *], [* 1184, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1379,
    [ [* 395, -1 *], [* 1184, 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:=
[* 1379,
    [ [* 395, 1 *], [* 1184,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^168 + x^154 - x^126 - x^112 + x^84 - x^56 - x^42 + x^14 + 1
);
eps_on_gens:=
[* 1379,
    [ [* 395,
        a^98 - 1
    *], [* 1184,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^84 + x^77 - x^63 - x^56 + x^42 - x^28 - x^21 + x^7 + 1
);
eps_on_gens:=
[* 1379,
    [ [* 395,
        a^49
    *], [* 1184,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1
);
eps_on_gens:=
[* 1379,
    [ [* 395, -1 *], [* 1184,
        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:=
[* 1379,
    [ [* 395,
        a^49
    *], [* 1184,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1
);
eps_on_gens:=
[* 1379,
    [ [* 395, -1 *], [* 1184,
        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^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1379,
    [ [* 395, 1 *], [* 1184,
        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:=
[* 1379,
    [ [* 395,
        a^14 - 1
    *], [* 1184,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1379,
    [ [* 395,
        a^7
    *], [* 1184,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1379,
    [ [* 395, -1 *], [* 1184,
        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:=
[* 1379,
    [ [* 395,
        a^7
    *], [* 1184,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1379,
    [ [* 395, -1 *], [* 1184,
        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:=
[* 1379,
    [ [* 395, 1 *], [* 1184,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1379,
    [ [* 395,
        a^2 - 1
    *], [* 1184,
        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:=
[* 1379,
    [ [* 395,
        a
    *], [* 1184, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1379,
    [ [* 395, -1 *], [* 1184, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1380,
    [ [* 691, -1 *], [* 277, 1 *], [* 461, 1 *], [* 1201, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1380,
    [ [* 691, 1 *], [* 277, 1 *], [* 461, -1 *], [* 1201, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1380,
    [ [* 691, 1 *], [* 277,
        a
    *], [* 461, 1 *], [* 1201, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1380,
    [ [* 691, -1 *], [* 277,
        a
    *], [* 461, -1 *], [* 1201, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1380,
    [ [* 691, -1 *], [* 277, -1 *], [* 461, 1 *], [* 1201, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1380,
    [ [* 691, 1 *], [* 277, -1 *], [* 461, -1 *], [* 1201, 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:=
[* 1380,
    [ [* 691, 1 *], [* 277, 1 *], [* 461, 1 *], [* 1201,
        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:=
[* 1380,
    [ [* 691, -1 *], [* 277, 1 *], [* 461, -1 *], [* 1201,
        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:=
[* 1380,
    [ [* 691, -1 *], [* 277,
        a^11
    *], [* 461, 1 *], [* 1201,
        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:=
[* 1380,
    [ [* 691, 1 *], [* 277,
        a^11
    *], [* 461, -1 *], [* 1201,
        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:=
[* 1380,
    [ [* 691, 1 *], [* 277, -1 *], [* 461, 1 *], [* 1201,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
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:=
[* 1380,
    [ [* 691, -1 *], [* 277, -1 *], [* 461, -1 *], [* 1201,
        -a^12
    *] ]
*]
;
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:=
[* 1380,
    [ [* 691, -1 *], [* 277, 1 *], [* 461, 1 *], [* 1201,
        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:=
[* 1380,
    [ [* 691, 1 *], [* 277, 1 *], [* 461, -1 *], [* 1201,
        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:=
[* 1380,
    [ [* 691, 1 *], [* 277,
        a^11
    *], [* 461, 1 *], [* 1201,
        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:=
[* 1380,
    [ [* 691, -1 *], [* 277,
        a^11
    *], [* 461, -1 *], [* 1201,
        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:=
[* 1380,
    [ [* 691, -1 *], [* 277, -1 *], [* 461, 1 *], [* 1201,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
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:=
[* 1380,
    [ [* 691, 1 *], [* 277, -1 *], [* 461, -1 *], [* 1201,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1380,
    [ [* 691, 1 *], [* 277, 1 *], [* 461, 1 *], [* 1201, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1380,
    [ [* 691, -1 *], [* 277, 1 *], [* 461, -1 *], [* 1201, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1380,
    [ [* 691, -1 *], [* 277,
        a
    *], [* 461, 1 *], [* 1201, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1380,
    [ [* 691, 1 *], [* 277,
        a
    *], [* 461, -1 *], [* 1201, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1380,
    [ [* 691, 1 *], [* 277, -1 *], [* 461, 1 *], [* 1201, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1380,
    [ [* 691, -1 *], [* 277, -1 *], [* 461, -1 *], [* 1201, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^352 - x^350 + x^348 + x^342 - x^340 + x^338 - x^322 + x^320 - x^318 - x^312 + x^310 - x^308 + x^306 - x^304 + x^302 + x^296 - x^294 +
    2*x^292 - x^290 + x^288 + x^282 - x^280 + x^278 - x^276 + x^274 - x^272 - x^266 + x^264 - 2*x^262 + x^260 - x^258 - x^252 + x^250 -
    x^248 + x^246 - x^244 + x^242 + x^236 - x^234 + 2*x^232 - x^230 + x^228 + x^222 - x^220 + x^218 - x^216 - x^210 - x^206 - x^202 - 
    x^198 - x^192 + x^190 - x^188 + x^186 + x^180 + x^176 + x^172 + x^166 - x^164 + x^162 - x^160 - x^154 - x^150 - x^146 - x^142 - 
    x^136 + x^134 - x^132 + x^130 + x^124 - x^122 + 2*x^120 - x^118 + x^116 + x^110 - x^108 + x^106 - x^104 + x^102 - x^100 - x^94 + 
    x^92 - 2*x^90 + x^88 - x^86 - x^80 + x^78 - x^76 + x^74 - x^72 + x^70 + x^64 - x^62 + 2*x^60 - x^58 + x^56 + x^50 - x^48 + x^46 - 
    x^44 + x^42 - x^40 - x^34 + x^32 - x^30 + x^14 - x^12 + x^10 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1381,
    [ [* 2,
        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^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:=
[* 1381,
    [ [* 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:=
[* 1381,
    [ [* 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:=
[* 1381,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1381,
    [ [* 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:=
[* 1381,
    [ [* 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:=
[* 1381,
    [ [* 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:=
[* 1381,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^176 - x^175 + x^174 + x^171 - x^170 + x^169 - x^161 + x^160 - x^159 - x^156 + x^155 - x^154 + x^153 - x^152 + x^151 + x^148 - x^147 +
    2*x^146 - x^145 + x^144 + x^141 - x^140 + x^139 - x^138 + x^137 - x^136 - x^133 + x^132 - 2*x^131 + x^130 - x^129 - x^126 + x^125 -
    x^124 + x^123 - x^122 + x^121 + x^118 - x^117 + 2*x^116 - x^115 + x^114 + x^111 - x^110 + x^109 - x^108 - x^105 - x^103 - x^101 - 
    x^99 - x^96 + x^95 - x^94 + x^93 + x^90 + x^88 + x^86 + x^83 - x^82 + x^81 - x^80 - x^77 - x^75 - x^73 - x^71 - x^68 + x^67 - x^66 
    + x^65 + x^62 - x^61 + 2*x^60 - x^59 + x^58 + x^55 - x^54 + x^53 - x^52 + x^51 - x^50 - x^47 + x^46 - 2*x^45 + x^44 - x^43 - x^40 +
    x^39 - x^38 + x^37 - x^36 + x^35 + x^32 - x^31 + 2*x^30 - x^29 + x^28 + x^25 - x^24 + x^23 - x^22 + x^21 - x^20 - x^17 + x^16 - 
    x^15 + x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1382,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^88 + x^87 - x^83 - x^82 + x^78 + x^77 - x^73 - x^72 + x^68 + x^67 - x^65 - x^64 - x^63 - x^62 + x^60 + x^59 + x^58 + x^57 - x^55 - 
    x^54 - x^53 - x^52 + x^50 + x^49 + x^48 + x^47 - x^45 - x^44 - x^43 + x^41 + x^40 + x^39 + x^38 - x^36 - x^35 - x^34 - x^33 + x^31 
    + x^30 + x^29 + x^28 - x^26 - x^25 - x^24 - x^23 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1382,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1382,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 1382,
    [ [* 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:=
[* 1382,
    [ [* 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:=
[* 1382,
    [ [* 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:=
[* 1382,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1382,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1383,
    [ [* 463, 1 *], [* 923, -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:=
[* 1383,
    [ [* 463,
        a
    *], [* 923, 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^83 - x^82 + x^78 + x^77 - x^73 - x^72 + x^68 + x^67 - x^65 - x^64 - x^63 - x^62 + x^60 + x^59 + x^58 + x^57 - x^55 - 
    x^54 - x^53 - x^52 + x^50 + x^49 + x^48 + x^47 - x^45 - x^44 - x^43 + x^41 + x^40 + x^39 + x^38 - x^36 - x^35 - x^34 - x^33 + x^31 
    + x^30 + x^29 + x^28 - x^26 - x^25 - x^24 - x^23 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1383,
    [ [* 463,
        a
    *], [* 923, -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^83 - x^82 + x^78 + x^77 - x^73 - x^72 + x^68 + x^67 - x^65 - x^64 - x^63 - x^62 + x^60 + x^59 + x^58 + x^57 - x^55 - 
    x^54 - x^53 - x^52 + x^50 + x^49 + x^48 + x^47 - x^45 - x^44 - x^43 + x^41 + x^40 + x^39 + x^38 - x^36 - x^35 - x^34 - x^33 + x^31 
    + x^30 + x^29 + x^28 - x^26 - x^25 - x^24 - x^23 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1383,
    [ [* 463,
        a^2
    *], [* 923, -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:=
[* 1383,
    [ [* 463,
        a
    *], [* 923, 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:=
[* 1383,
    [ [* 463,
        a
    *], [* 923, -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:=
[* 1383,
    [ [* 463,
        a^2
    *], [* 923, -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:=
[* 1383,
    [ [* 463,
        a
    *], [* 923, 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:=
[* 1383,
    [ [* 463,
        a
    *], [* 923, -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:=
[* 1383,
    [ [* 463,
        -a^6
    *], [* 923, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1383,
    [ [* 463,
        a
    *], [* 923, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1383,
    [ [* 463, -1 *], [* 923, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1384,
    [ [* 521, 1 *], [* 693, 1 *], [* 1039, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1384,
    [ [* 521, 1 *], [* 693, -1 *], [* 1039, -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:=
[* 1384,
    [ [* 521,
        a
    *], [* 693, 1 *], [* 1039, 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:=
[* 1384,
    [ [* 521,
        a
    *], [* 693, -1 *], [* 1039, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4
    - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1384,
    [ [* 521,
        a
    *], [* 693, 1 *], [* 1039, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4
    - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1384,
    [ [* 521,
        a
    *], [* 693, -1 *], [* 1039, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
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:=
[* 1384,
    [ [* 521,
        a^2
    *], [* 693, 1 *], [* 1039, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4
    - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1384,
    [ [* 521,
        a^2
    *], [* 693, -1 *], [* 1039, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1384,
    [ [* 521,
        a
    *], [* 693, 1 *], [* 1039, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1384,
    [ [* 521,
        a
    *], [* 693, -1 *], [* 1039, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1384,
    [ [* 521, -1 *], [* 693, 1 *], [* 1039, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1384,
    [ [* 521, -1 *], [* 693, -1 *], [* 1039, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1385,
    [ [* 836, 1 *], [* 832,
        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:=
[* 1385,
    [ [* 836,
        a
    *], [* 832, 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:=
[* 1385,
    [ [* 836,
        a
    *], [* 832, -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:=
[* 1385,
    [ [* 836,
        a^2
    *], [* 832,
        a^69
    *] ]
*]
;
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:=
[* 1385,
    [ [* 836,
        a
    *], [* 832, 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:=
[* 1385,
    [ [* 836,
        a
    *], [* 832, -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:=
[* 1385,
    [ [* 836,
        a^4
    *], [* 832,
        a^69
    *] ]
*]
;
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:=
[* 1385,
    [ [* 836,
        a^2
    *], [* 832,
        a^23
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6
    + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1385,
    [ [* 836,
        a^4
    *], [* 832,
        a^23
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1385,
    [ [* 836,
        a
    *], [* 832, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1385,
    [ [* 836,
        a
    *], [* 832, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1385,
    [ [* 836,
        a^2
    *], [* 832,
        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:=
[* 1385,
    [ [* 836,
        a
    *], [* 832, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1385,
    [ [* 836,
        a
    *], [* 832, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1385,
    [ [* 836,
        a^2 - 1
    *], [* 832,
        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:=
[* 1385,
    [ [* 836, -1 *], [* 832,
        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:=
[* 1386,
    [ [* 155,
        a
    *], [* 1135, 1 *], [* 199, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1386,
    [ [* 155, -1 *], [* 1135, 1 *], [* 199, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, 1 *], [* 1135, 1 *], [* 199,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a - 1
    *], [* 1135, 1 *], [* 199,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        -a
    *], [* 1135, 1 *], [* 199,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a
    *], [* 1135, 1 *], [* 199,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, -1 *], [* 1135, 1 *], [* 199,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        -a + 1
    *], [* 1135, 1 *], [* 199,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1386,
    [ [* 155, 1 *], [* 1135, 1 *], [* 199, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a - 1
    *], [* 1135, 1 *], [* 199, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, 1 *], [* 1135,
        a
    *], [* 199, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a^5 - 1
    *], [* 1135,
        a^3
    *], [* 199, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a^5
    *], [* 1135,
        a^3
    *], [* 199,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, -1 *], [* 1135,
        a^3
    *], [* 199,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        -a^5 + 1
    *], [* 1135,
        a^3
    *], [* 199,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, 1 *], [* 1135,
        a^3
    *], [* 199,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a^5 - 1
    *], [* 1135,
        a^3
    *], [* 199,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        -a^5
    *], [* 1135,
        a^3
    *], [* 199,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a^5
    *], [* 1135,
        a^3
    *], [* 199, -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:=
[* 1386,
    [ [* 155, -1 *], [* 1135,
        a
    *], [* 199, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a^5
    *], [* 1135,
        a^6
    *], [* 199, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, -1 *], [* 1135,
        a^2
    *], [* 199, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, 1 *], [* 1135,
        a^6
    *], [* 199,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a^5 - 1
    *], [* 1135,
        a^6
    *], [* 199,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        -a^5
    *], [* 1135,
        a^6
    *], [* 199,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a^5
    *], [* 1135,
        a^6
    *], [* 199,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, -1 *], [* 1135,
        a^6
    *], [* 199,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        -a^5 + 1
    *], [* 1135,
        a^6
    *], [* 199,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, 1 *], [* 1135,
        a^2
    *], [* 199, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a^5 - 1
    *], [* 1135,
        a^6
    *], [* 199, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1386,
    [ [* 155, 1 *], [* 1135, -1 *], [* 199, 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:=
[* 1386,
    [ [* 155,
        a - 1
    *], [* 1135, -1 *], [* 199, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a
    *], [* 1135, -1 *], [* 199,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, -1 *], [* 1135, -1 *], [* 199,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        -a + 1
    *], [* 1135, -1 *], [* 199,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155, 1 *], [* 1135, -1 *], [* 199,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a - 1
    *], [* 1135, -1 *], [* 199,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        -a
    *], [* 1135, -1 *], [* 199,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1386,
    [ [* 155,
        a
    *], [* 1135, -1 *], [* 199, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
24
;
C:=Rationals();
eps_on_gens:=
[* 1386,
    [ [* 155, -1 *], [* 1135, -1 *], [* 199, -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:=
[* 1387,
    [ [* 1027, 1 *], [* 439,
        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:=
[* 1387,
    [ [* 1027, 1 *], [* 439,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1387,
    [ [* 1027, 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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        a^8
    *] ]
*]
;
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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        a^16
    *] ]
*]
;
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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        a^20 - a^8
    *] ]
*]
;
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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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^12 + 1
);
eps_on_gens:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -a^20
    *] ]
*]
;
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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -a^16 + 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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        a^8 - a^2
    *] ]
*]
;
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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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^8 - x^4 + 1
);
eps_on_gens:=
[* 1387,
    [ [* 1027,
        a
    *], [* 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:=
[* 1387,
    [ [* 1027,
        a^3
    *], [* 439,
        a^8
    *] ]
*]
;
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:=
[* 1387,
    [ [* 1027,
        a^3
    *], [* 439,
        a^16
    *] ]
*]
;
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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439, -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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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^12 - x^6 + 1
);
eps_on_gens:=
[* 1387,
    [ [* 1027,
        a^3
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a^3
    *], [* 439,
        a^10
    *] ]
*]
;
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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a^2
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a^2
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a^2
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a^2
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a^2
    *], [* 439, -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:=
[* 1387,
    [ [* 1027,
        a^2
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a^2
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a^2
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027,
        a^2
    *], [* 439,
        -a^5 + a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1387,
    [ [* 1027,
        a
    *], [* 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:=
[* 1387,
    [ [* 1027,
        a^9
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a^3
    *], [* 439,
        a^4 - 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:=
[* 1387,
    [ [* 1027,
        a^3
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a^3
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1387,
    [ [* 1027,
        a^9
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a^3
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a
    *], [* 439, -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:=
[* 1387,
    [ [* 1027,
        a^3 - 1
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a - 1
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a^3 - 1
    *], [* 439,
        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:=
[* 1387,
    [ [* 1027,
        a - 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 - x + 1
);
eps_on_gens:=
[* 1387,
    [ [* 1027,
        a - 1
    *], [* 439,
        -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:=
[* 1387,
    [ [* 1027, -1 *], [* 439,
        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:=
[* 1387,
    [ [* 1027, -1 *], [* 439,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1387,
    [ [* 1027, -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:=
[* 1388,
    [ [* 349, 1 *], [* 695, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + x^156 -
    x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + x^140 - 
    x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - 
    x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - 
    x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90
    - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - 
    x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 
    + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + 
    x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 
    - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1388,
    [ [* 349,
        a
    *], [* 695, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + x^156 -
    x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + x^140 - 
    x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - 
    x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - 
    x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90
    - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - 
    x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 
    + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + 
    x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 
    - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1388,
    [ [* 349,
        a^2
    *], [* 695, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1388,
    [ [* 349, -1 *], [* 695, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1389,
    [ [* 466, 1 *], [* 464, -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:=
[* 1389,
    [ [* 466,
        a
    *], [* 464, 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:=
[* 1389,
    [ [* 466,
        a^2
    *], [* 464, -1 *] ]
*]
;
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:=
[* 1389,
    [ [* 466,
        a
    *], [* 464, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 1389,
    [ [* 466,
        a^2
    *], [* 464, -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:=
[* 1389,
    [ [* 466,
        a
    *], [* 464, 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:=
[* 1389,
    [ [* 466,
        a
    *], [* 464, 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:=
[* 1389,
    [ [* 466,
        a^2
    *], [* 464, -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:=
[* 1389,
    [ [* 466,
        a
    *], [* 464, 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:=
[* 1389,
    [ [* 466,
        a^2
    *], [* 464, -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:=
[* 1389,
    [ [* 466,
        a
    *], [* 464, 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:=
[* 1389,
    [ [* 466,
        a^2
    *], [* 464, -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:=
[* 1389,
    [ [* 466,
        a^2
    *], [* 464, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1389,
    [ [* 466,
        a
    *], [* 464, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1389,
    [ [* 466,
        a - 1
    *], [* 464, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1389,
    [ [* 466, -1 *], [* 464, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1390,
    [ [* 557,
        a
    *], [* 141, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1390,
    [ [* 557, 1 *], [* 141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 + x^43 - x^41 - x^40 + x^38 + x^37 - x^35 - x^34 + x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 - x^21 + x^19 + x^18 - 
    x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1390,
    [ [* 557, -1 *], [* 141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^88 + x^86 - x^82 - x^80 + x^76 + x^74 - x^70 - x^68 + x^64 + x^62 - x^58 - x^56 + x^52 + x^50 - x^46 - x^44 - x^42 + x^38 + x^36 - 
    x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1390,
    [ [* 557,
        a^69
    *], [* 141,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 1390,
    [ [* 557, 1 *], [* 141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + 
    x^2 - x + 1
);
eps_on_gens:=
[* 1390,
    [ [* 557, -1 *], [* 141,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6
    + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1390,
    [ [* 557,
        a^23
    *], [* 141,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1390,
    [ [* 557, 1 *], [* 141,
        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:=
[* 1390,
    [ [* 557, -1 *], [* 141,
        a
    *] ]
*]
;
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:=
[* 1390,
    [ [* 557,
        a^3
    *], [* 141,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1390,
    [ [* 557, 1 *], [* 141, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
26
;
C:=Rationals();
eps_on_gens:=
[* 1390,
    [ [* 557, -1 *], [* 141, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1391,
    [ [* 964,
        a
    *], [* 430, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1391,
    [ [* 964,
        a
    *], [* 430, 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:=
[* 1391,
    [ [* 964, 1 *], [* 430,
        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:=
[* 1391,
    [ [* 964,
        a^53
    *], [* 430,
        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:=
[* 1391,
    [ [* 964,
        a^53 - 1
    *], [* 430,
        a^3
    *] ]
*]
;
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:=
[* 1391,
    [ [* 964, -1 *], [* 430,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^208 + x^206 - x^202 - x^200 + x^196 + x^194 - x^190 - x^188 + x^184 + x^182 - x^178 - x^176 + x^172 + x^170 - x^166 - x^164 + x^160 +
    x^158 - x^154 - x^152 + x^148 + x^146 - x^142 - x^140 + x^136 + x^134 - x^130 - x^128 + x^124 + x^122 - x^118 - x^116 + x^112 + 
    x^110 - x^106 - 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:=
[* 1391,
    [ [* 964,
        a^53
    *], [* 430,
        a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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:=
[* 1391,
    [ [* 964,
        a^53
    *], [* 430,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1391,
    [ [* 964, 1 *], [* 430, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 + 3*x^4 + 2*x^3 + 9*x^2 + 3*x + 1
);
eps_on_gens:=
[* 1391,
    [ [* 964,
        1/3*(a^5 + 3*a^3 + a^2 + 9*a + 3)
    *], [* 430, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 + 3*x^4 + 2*x^3 + 9*x^2 + 3*x + 1
);
eps_on_gens:=
[* 1391,
    [ [* 964,
        1/3*(-a^5 - 3*a^3 - a^2 - 9*a - 3)
    *], [* 430, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
23
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1391,
    [ [* 964, -1 *], [* 430, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1392,
    [ [* 1249, 1 *], [* 175, -1 *], [* 1045, 1 *], [* 929, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249, 1 *], [* 175, -1 *], [* 1045,
        a
    *], [* 929, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1392,
    [ [* 1249, 1 *], [* 175, -1 *], [* 1045, -1 *], [* 929, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1392,
    [ [* 1249, 1 *], [* 175, 1 *], [* 1045, 1 *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249, 1 *], [* 175, 1 *], [* 1045,
        a
    *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1392,
    [ [* 1249, 1 *], [* 175, 1 *], [* 1045, -1 *], [* 929, -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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, 1 *], [* 1045, 1 *], [* 929, 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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, 1 *], [* 1045,
        a^7
    *], [* 929, 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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, 1 *], [* 1045, -1 *], [* 929, 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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, 1 *], [* 1045,
        -a^7
    *], [* 929, 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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, -1 *], [* 1045, 1 *], [* 929, -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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, -1 *], [* 1045,
        a^7
    *], [* 929, -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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, -1 *], [* 1045, -1 *], [* 929, -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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, -1 *], [* 1045,
        -a^7
    *], [* 929, -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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, -1 *], [* 1045, 1 *], [* 929, 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:=
[* 1392,
    [ [* 1249,
        a^2
    *], [* 175, -1 *], [* 1045,
        a^7
    *], [* 929, 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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, -1 *], [* 1045, -1 *], [* 929, 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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, 1 *], [* 1045, 1 *], [* 929, -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:=
[* 1392,
    [ [* 1249,
        a^2
    *], [* 175, 1 *], [* 1045,
        a^7
    *], [* 929, -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:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, 1 *], [* 1045, -1 *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249,
        a^2
    *], [* 175, -1 *], [* 1045, 1 *], [* 929, 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:=
[* 1392,
    [ [* 1249,
        a^4
    *], [* 175, -1 *], [* 1045,
        a^7
    *], [* 929, 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:=
[* 1392,
    [ [* 1249,
        a^2
    *], [* 175, -1 *], [* 1045, -1 *], [* 929, 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:=
[* 1392,
    [ [* 1249,
        a^2
    *], [* 175, 1 *], [* 1045, 1 *], [* 929, -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:=
[* 1392,
    [ [* 1249,
        a^4
    *], [* 175, 1 *], [* 1045,
        a^7
    *], [* 929, -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:=
[* 1392,
    [ [* 1249,
        a^2
    *], [* 175, 1 *], [* 1045, -1 *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, 1 *], [* 1045, 1 *], [* 929, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, 1 *], [* 1045,
        a
    *], [* 929, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, 1 *], [* 1045, -1 *], [* 929, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, 1 *], [* 1045,
        -a
    *], [* 929, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, -1 *], [* 1045, 1 *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, -1 *], [* 1045,
        a
    *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, -1 *], [* 1045, -1 *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249,
        a
    *], [* 175, -1 *], [* 1045,
        -a
    *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 1392,
    [ [* 1249, -1 *], [* 175, -1 *], [* 1045, 1 *], [* 929, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1392,
    [ [* 1249, -1 *], [* 175, -1 *], [* 1045,
        a
    *], [* 929, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1392,
    [ [* 1249, -1 *], [* 175, -1 *], [* 1045, -1 *], [* 929, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 1392,
    [ [* 1249, -1 *], [* 175, 1 *], [* 1045, 1 *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 26*x^4 + 96*x^2 + 169
);
eps_on_gens:=
[* 1392,
    [ [* 1249, -1 *], [* 175, 1 *], [* 1045,
        1/56*(a^6 - 3*a^4 + 21*a^2 + 33)
    *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 1392,
    [ [* 1249, -1 *], [* 175, 1 *], [* 1045, -1 *], [* 929, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1393,
    [ [* 799, 1 *], [* 598,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1393,
    [ [* 799, 1 *], [* 598, -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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598, 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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598,
        a^33 - 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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598,
        -a^33
    *] ]
*]
;
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:=
[* 1393,
    [ [* 799,
        a^2
    *], [* 598,
        a^33
    *] ]
*]
;
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:=
[* 1393,
    [ [* 799,
        a^2
    *], [* 598, -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:=
[* 1393,
    [ [* 799,
        a^2
    *], [* 598,
        -a^33 + 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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598, 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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598,
        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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598,
        -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:=
[* 1393,
    [ [* 799,
        a^2
    *], [* 598,
        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:=
[* 1393,
    [ [* 799,
        a^2
    *], [* 598, -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:=
[* 1393,
    [ [* 799,
        a^2
    *], [* 598,
        -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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598, 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:=
[* 1393,
    [ [* 799,
        a^3
    *], [* 598,
        a^11 - 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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598, 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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598,
        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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598,
        -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:=
[* 1393,
    [ [* 799,
        a^6
    *], [* 598,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1393,
    [ [* 799,
        a^2
    *], [* 598, -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:=
[* 1393,
    [ [* 799,
        a^2
    *], [* 598,
        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:=
[* 1393,
    [ [* 799,
        a^2
    *], [* 598, -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:=
[* 1393,
    [ [* 799,
        a^2
    *], [* 598,
        -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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1393,
    [ [* 799,
        a
    *], [* 598,
        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:=
[* 1393,
    [ [* 799,
        a
    *], [* 598,
        -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:=
[* 1393,
    [ [* 799,
        a - 1
    *], [* 598,
        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:=
[* 1393,
    [ [* 799,
        a - 1
    *], [* 598, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1393,
    [ [* 799,
        a - 1
    *], [* 598,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1393,
    [ [* 799, -1 *], [* 598, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
9
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 + 9*x^16 + 54*x^14 + 183*x^12 + 450*x^10 + 2*x^9 + 648*x^8 + 9*x^7 + 657*x^6 - 27*x^5 + 270*x^4 - 60*x^3 + 81*x^2 - 9*x + 1
);
eps_on_gens:=
[* 1393,
    [ [* 799, -1 *], [* 598,
        1/181809711*(-19975495*a^17 + 1001925*a^16 - 179964459*a^15 + 7858807*a^14 - 1080241623*a^13 + 44267052*a^12 - 3664679359*a^11 
            + 125332812*a^10 - 9018054834*a^9 + 224991002*a^8 - 13010746842*a^7 + 21705093*a^6 - 13203765674*a^5 + 614324520*a^4 - 
            5513857539*a^3 + 833840282*a^2 - 1661804640*a + 2885790)
    *] ]
*]
;
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:=
[* 1394,
    [ [* 411,
        a
    *], [* 375, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411, 1 *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a^5
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a^10
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a^15
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411, -1 *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        -a^5
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        -a^10
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        -a^15
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a^5
    *], [* 375,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a^15
    *], [* 375,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a^5
    *], [* 375,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411, 1 *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a^2
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a^3
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411, -1 *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        -a
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        -a^2
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        -a^3
    *], [* 375,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a^5
    *], [* 375,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a
    *], [* 375,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a^3
    *], [* 375,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1394,
    [ [* 411,
        a
    *], [* 375, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406, 1 *], [* 776,
        a
    *], [* 1117, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1395,
    [ [* 406, 1 *], [* 776, -1 *], [* 1117, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406, 1 *], [* 776, 1 *], [* 1117,
        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:=
[* 1395,
    [ [* 406, 1 *], [* 776,
        a^2 - 1
    *], [* 1117,
        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:=
[* 1395,
    [ [* 406, 1 *], [* 776,
        a
    *], [* 1117, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1395,
    [ [* 406, 1 *], [* 776, -1 *], [* 1117, -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:=
[* 1395,
    [ [* 406,
        a
    *], [* 776, 1 *], [* 1117, 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:=
[* 1395,
    [ [* 406,
        a
    *], [* 776,
        a^5 - 1
    *], [* 1117, 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:=
[* 1395,
    [ [* 406,
        a
    *], [* 776,
        -a^5
    *], [* 1117, 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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776,
        a^10
    *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776, -1 *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776,
        -a^10 + 1
    *], [* 1117,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + 2*x^15 + 11*x^14 + 28*x^13 + 71*x^12 + 196*x^11 + 399*x^10 + 734*x^9 + 867*x^8 + 754*x^7 + 234*x^6 - 1144*x^5 - 1984*x^4 - 
    1672*x^3 + 2816*x^2 - 608*x + 5776
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        1/10879955431182055367560*(898334749590907228*a^15 + 579737314834536307*a^14 + 5214400078392347798*a^13 + 
            12274154118555501649*a^12 + 16335628490157519020*a^11 + 85313346789507867601*a^10 + 116021028852489164188*a^9 + 
            112254965229916550777*a^8 + 52601872987017003666*a^7 + 160526482592597482165*a^6 + 1267804013669431065714*a^5 + 
            2037010026551228895762*a^4 + 2172108840931092132168*a^3 + 2774171344410524015684*a^2 + 4815076757497045664400*a - 
            9595052581195967086896)
    *], [* 776, 1 *], [* 1117, -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:=
[* 1395,
    [ [* 406,
        a
    *], [* 776,
        a^5 - 1
    *], [* 1117, -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:=
[* 1395,
    [ [* 406,
        a
    *], [* 776,
        -a^5
    *], [* 1117, -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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776,
        a^5
    *], [* 1117, 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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776, -1 *], [* 1117, 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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776,
        -a^5 + 1
    *], [* 1117, 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:=
[* 1395,
    [ [* 406,
        a^4
    *], [* 776, 1 *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a^4
    *], [* 776,
        a^10 - 1
    *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a^4
    *], [* 776,
        -a^10
    *], [* 1117,
        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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776,
        a^5
    *], [* 1117, -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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776, -1 *], [* 1117, -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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776,
        -a^5 + 1
    *], [* 1117, -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:=
[* 1395,
    [ [* 406,
        a
    *], [* 776, 1 *], [* 1117, 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:=
[* 1395,
    [ [* 406,
        a^3
    *], [* 776,
        a^5 - 1
    *], [* 1117, 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:=
[* 1395,
    [ [* 406,
        a^6
    *], [* 776,
        a^10
    *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776, -1 *], [* 1117,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 5*x^6 + 10*x^4 + 25
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        1/55*(-a^6 + 4*a^4 + 20*a^2 + 40)
    *], [* 776, 1 *], [* 1117, -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:=
[* 1395,
    [ [* 406,
        a^3
    *], [* 776,
        a^5 - 1
    *], [* 1117, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a
    *], [* 776, 1 *], [* 1117, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a
    *], [* 776,
        a - 1
    *], [* 1117, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a
    *], [* 776,
        -a
    *], [* 1117, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776,
        a^2
    *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776, -1 *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776,
        -a^2 + 1
    *], [* 1117,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 3*x^2 + 9
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        -1/3*a^2
    *], [* 776, 1 *], [* 1117, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a
    *], [* 776,
        a - 1
    *], [* 1117, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a
    *], [* 776,
        -a
    *], [* 1117, -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:=
[* 1395,
    [ [* 406,
        a^6
    *], [* 776,
        a^5
    *], [* 1117, 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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776, -1 *], [* 1117, 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:=
[* 1395,
    [ [* 406,
        a^4
    *], [* 776, 1 *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a^12
    *], [* 776,
        a^10 - 1
    *], [* 1117,
        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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a^6
    *], [* 776,
        a^5
    *], [* 1117, -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:=
[* 1395,
    [ [* 406,
        a^2
    *], [* 776, -1 *], [* 1117, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a - 1
    *], [* 776,
        a
    *], [* 1117, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a - 1
    *], [* 776, -1 *], [* 1117, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a - 1
    *], [* 776,
        -a + 1
    *], [* 1117, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a^2 - 1
    *], [* 776, 1 *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a^2 - 1
    *], [* 776,
        a^2 - 1
    *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a^2 - 1
    *], [* 776,
        -a^2
    *], [* 1117,
        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:=
[* 1395,
    [ [* 406,
        a - 1
    *], [* 776,
        a
    *], [* 1117, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - 2*x^3 + 7*x^2 - 6*x + 3
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        1/5*(-2*a^3 + 3*a^2 - 10*a + 2)
    *], [* 776, -1 *], [* 1117, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406,
        a - 1
    *], [* 776,
        -a + 1
    *], [* 1117, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 1395,
    [ [* 406, -1 *], [* 776, 1 *], [* 1117, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406, -1 *], [* 776,
        a - 1
    *], [* 1117, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406, -1 *], [* 776,
        a^2
    *], [* 1117,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1395,
    [ [* 406, -1 *], [* 776, -1 *], [* 1117,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
9
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 1395,
    [ [* 406, -1 *], [* 776, 1 *], [* 1117, -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:=
[* 1395,
    [ [* 406, -1 *], [* 776,
        a - 1
    *], [* 1117, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1396,
    [ [* 1049, 1 *], [* 699, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^112 + x^110 - x^106 - x^104 + x^100 + x^98 - x^94 - x^92 + x^88 + x^86 - x^82 - x^80 + x^76 + x^74 - x^70 - x^68 + x^64 + x^62 - x^58
    - x^56 - x^54 + x^50 + x^48 - x^44 - x^42 + x^38 + x^36 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 +
    1
);
eps_on_gens:=
[* 1396,
    [ [* 1049,
        a
    *], [* 699, 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:=
[* 1396,
    [ [* 1049,
        a
    *], [* 699, -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:=
[* 1396,
    [ [* 1049,
        a
    *], [* 699, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 1396,
    [ [* 1049,
        a^2
    *], [* 699, -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:=
[* 1396,
    [ [* 1049,
        a
    *], [* 699, -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:=
[* 1396,
    [ [* 1049,
        a^2
    *], [* 699, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1396,
    [ [* 1049,
        a
    *], [* 699, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1396,
    [ [* 1049,
        a
    *], [* 699, -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:=
[* 1396,
    [ [* 1049,
        a
    *], [* 699, 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:=
[* 1396,
    [ [* 1049,
        a - 1
    *], [* 699, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1396,
    [ [* 1049, -1 *], [* 699, -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:=
[* 1397,
    [ [* 255,
        a
    *], [* 892, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1397,
    [ [* 255, -1 *], [* 892, 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:=
[* 1397,
    [ [* 255, 1 *], [* 892,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^141 + x^138 + x^129 - x^126 + 2*x^123 - x^120 + x^117 + x^108 - x^105 + x^102 - x^99 + x^96 - x^93 - x^84 - x^78 - x^72 - 
    x^66 - x^60 - x^51 + x^48 - x^45 + x^42 - x^39 + x^36 + x^27 - x^24 + 2*x^21 - x^18 + x^15 + x^6 - x^3 + 1
);
eps_on_gens:=
[* 1397,
    [ [* 255,
        a^126
    *], [* 892,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^141 + x^138 + x^129 - x^126 + 2*x^123 - x^120 + x^117 + x^108 - x^105 + x^102 - x^99 + x^96 - x^93 - x^84 - x^78 - x^72 - 
    x^66 - x^60 - x^51 + x^48 - x^45 + x^42 - x^39 + x^36 + x^27 - x^24 + 2*x^21 - x^18 + x^15 + x^6 - x^3 + 1
);
eps_on_gens:=
[* 1397,
    [ [* 255,
        a^63
    *], [* 892,
        a^10
    *] ]
*]
;
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:=
[* 1397,
    [ [* 255, -1 *], [* 892,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1397,
    [ [* 255, 1 *], [* 892,
        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:=
[* 1397,
    [ [* 255,
        a^42
    *], [* 892,
        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:=
[* 1397,
    [ [* 255,
        a^21
    *], [* 892,
        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:=
[* 1397,
    [ [* 255, -1 *], [* 892,
        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:=
[* 1397,
    [ [* 255, 1 *], [* 892,
        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:=
[* 1397,
    [ [* 255,
        a^18
    *], [* 892,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1397,
    [ [* 255, 1 *], [* 892,
        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:=
[* 1397,
    [ [* 255,
        a^14
    *], [* 892,
        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:=
[* 1397,
    [ [* 255,
        a^9
    *], [* 892,
        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:=
[* 1397,
    [ [* 255, -1 *], [* 892,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1397,
    [ [* 255,
        a^7
    *], [* 892,
        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:=
[* 1397,
    [ [* 255, -1 *], [* 892,
        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:=
[* 1397,
    [ [* 255, 1 *], [* 892,
        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:=
[* 1397,
    [ [* 255,
        a^6
    *], [* 892,
        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:=
[* 1397,
    [ [* 255,
        a^3
    *], [* 892,
        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:=
[* 1397,
    [ [* 255, -1 *], [* 892,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1397,
    [ [* 255, 1 *], [* 892, -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^18 + 20*x^16 + 2*x^15 + 75*x^14 - 5*x^13 + 275*x^12 + 5*x^11 + 374*x^10 + 200*x^9 + 485*x^8 + 150*x^7 + 715*x^6 + 498*x^5 + 
    675*x^4 + 260*x^3 + 100*x^2 + 15*x + 1
);
eps_on_gens:=
[* 1397,
    [ [* 255,
        1/80569946747525*(-16070024803249*a^19 - 287708162377*a^18 - 79606711047656*a^17 - 1618181388339*a^16 - 317608775347337*a^15 - 
            38828970396156*a^14 - 1190677350314243*a^13 + 56762517366871*a^12 - 4361354672709541*a^11 - 176071797686613*a^10 - 
            5802598375947558*a^9 - 3366231258252939*a^8 - 7559841386961717*a^7 - 2461602334723913*a^6 - 11207335685333064*a^5 - 
            8119568646981643*a^4 - 10486783990149784*a^3 - 4116850264392927*a^2 - 1226552603107423*a - 164606158640774)
    *], [* 892, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1398,
    [ [* 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:=
[* 1398,
    [ [* 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:=
[* 1398,
    [ [* 469,
        a
    *], [* 467, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - 
    x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1398,
    [ [* 469,
        a
    *], [* 467, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - 
    x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1398,
    [ [* 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:=
[* 1398,
    [ [* 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:=
[* 1398,
    [ [* 469,
        a
    *], [* 467, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1398,
    [ [* 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^464 + x^463 - x^461 - x^460 + x^458 + x^457 - x^455 - x^454 + x^452 + x^451 - x^449 - x^448 + x^446 + x^445 - x^443 - x^442 + x^440 +
    x^439 - x^437 - x^436 + x^434 + x^433 - x^431 - x^430 + x^428 + x^427 - x^425 - x^424 + x^422 + x^421 - x^419 - x^418 + x^416 + 
    x^415 - x^413 - x^412 + x^410 + x^409 - x^407 - x^406 + x^404 + x^403 - x^401 - x^400 + x^398 + x^397 - x^395 - x^394 + x^392 + 
    x^391 - x^389 - x^388 + x^386 + x^385 - x^383 - x^382 + x^380 + x^379 - x^377 - x^376 + x^374 + x^373 - x^371 - x^370 + x^368 + 
    x^367 - x^365 - x^364 + x^362 + x^361 - x^359 - x^358 + x^356 + x^355 - x^353 - x^352 + x^350 + x^349 - x^347 - x^346 + x^344 + 
    x^343 - x^341 - x^340 + x^338 + x^337 - x^335 - x^334 + x^332 + x^331 - x^329 - x^328 + x^326 + x^325 - x^323 - x^322 + x^320 + 
    x^319 - x^317 - x^316 + x^314 + x^313 - x^311 - x^310 + x^308 + x^307 - x^305 - x^304 + x^302 + x^301 - x^299 - x^298 + x^296 + 
    x^295 - x^293 - x^292 + x^290 + x^289 - x^287 - x^286 + x^284 + x^283 - x^281 - x^280 + x^278 + x^277 - x^275 - x^274 + 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^231 + x^229 + x^228 - x^226 - x^225 + 
    x^223 + x^222 - x^220 - x^219 + x^217 + x^216 - x^214 - x^213 + x^211 + x^210 - x^208 - x^207 + x^205 + x^204 - x^202 - x^201 + 
    x^199 + x^198 - x^196 - x^195 + x^193 + x^192 - x^190 - x^189 + x^187 + x^186 - x^184 - x^183 + x^181 + x^180 - x^178 - x^177 + 
    x^175 + x^174 - x^172 - x^171 + x^169 + x^168 - x^166 - x^165 + x^163 + x^162 - x^160 - x^159 + x^157 + x^156 - x^154 - x^153 + 
    x^151 + 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:=
[* 1399,
    [ [* 13,
        a
    *] ]
*]
;
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:=
[* 1399,
    [ [* 13,
        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:=
[* 1399,
    [ [* 13,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
15
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1399,
    [ [* 13, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1400,
    [ [* 801, 1 *], [* 1177, 1 *], [* 351, -1 *], [* 701, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1400,
    [ [* 801, 1 *], [* 1177, 1 *], [* 351, -1 *], [* 701, -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:=
[* 1400,
    [ [* 801, 1 *], [* 1177,
        a
    *], [* 351, 1 *], [* 701, 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:=
[* 1400,
    [ [* 801, 1 *], [* 1177,
        a
    *], [* 351, 1 *], [* 701, -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:=
[* 1400,
    [ [* 801, 1 *], [* 1177,
        a
    *], [* 351, -1 *], [* 701, 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:=
[* 1400,
    [ [* 801, 1 *], [* 1177,
        a
    *], [* 351, -1 *], [* 701, -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:=
[* 1400,
    [ [* 801, 1 *], [* 1177,
        a^2
    *], [* 351, -1 *], [* 701, 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:=
[* 1400,
    [ [* 801, 1 *], [* 1177,
        a^2
    *], [* 351, -1 *], [* 701, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1400,
    [ [* 801, 1 *], [* 1177,
        a
    *], [* 351, 1 *], [* 701, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1400,
    [ [* 801, 1 *], [* 1177,
        a
    *], [* 351, 1 *], [* 701, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1400,
    [ [* 801, 1 *], [* 1177, -1 *], [* 351, -1 *], [* 701, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1400,
    [ [* 801, 1 *], [* 1177, -1 *], [* 351, -1 *], [* 701, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1400,
    [ [* 801,
        a
    *], [* 1177, 1 *], [* 351, 1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        a
    *], [* 1177, 1 *], [* 351, 1 *], [* 701, -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:=
[* 1400,
    [ [* 801,
        a^10
    *], [* 1177,
        a^3
    *], [* 351, -1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        a^10
    *], [* 1177,
        a^3
    *], [* 351, -1 *], [* 701, -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:=
[* 1400,
    [ [* 801,
        a^5
    *], [* 1177,
        a^3
    *], [* 351, 1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        a^5
    *], [* 1177,
        a^3
    *], [* 351, 1 *], [* 701, -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:=
[* 1400,
    [ [* 801,
        a^5
    *], [* 1177,
        a^6
    *], [* 351, 1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        a^5
    *], [* 1177,
        a^6
    *], [* 351, 1 *], [* 701, -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:=
[* 1400,
    [ [* 801,
        a^2
    *], [* 1177,
        a^3
    *], [* 351, -1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        a^4
    *], [* 1177,
        -a^6
    *], [* 351, -1 *], [* 701, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1400,
    [ [* 801,
        a
    *], [* 1177, -1 *], [* 351, 1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        -a^2 + 1
    *], [* 1177, -1 *], [* 351, 1 *], [* 701, -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:=
[* 1400,
    [ [* 801,
        a - 1
    *], [* 1177, 1 *], [* 351, -1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        a^2 - 1
    *], [* 1177, 1 *], [* 351, -1 *], [* 701, -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:=
[* 1400,
    [ [* 801,
        a^10 - 1
    *], [* 1177,
        a^3
    *], [* 351, 1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        a^10 - 1
    *], [* 1177,
        a^3
    *], [* 351, 1 *], [* 701, -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:=
[* 1400,
    [ [* 801,
        a^5 - 1
    *], [* 1177,
        a^3
    *], [* 351, -1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        a^5 - 1
    *], [* 1177,
        a^3
    *], [* 351, -1 *], [* 701, -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:=
[* 1400,
    [ [* 801,
        a^5 - 1
    *], [* 1177,
        a^6
    *], [* 351, -1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        a^5 - 1
    *], [* 1177,
        a^6
    *], [* 351, -1 *], [* 701, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1400,
    [ [* 801,
        a^2 - 1
    *], [* 1177,
        a^3
    *], [* 351, 1 *], [* 701, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1400,
    [ [* 801,
        a^2 - 1
    *], [* 1177,
        a^3
    *], [* 351, 1 *], [* 701, -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:=
[* 1400,
    [ [* 801,
        a - 1
    *], [* 1177, -1 *], [* 351, -1 *], [* 701, 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:=
[* 1400,
    [ [* 801,
        a - 1
    *], [* 1177, -1 *], [* 351, -1 *], [* 701, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1400,
    [ [* 801, -1 *], [* 1177, 1 *], [* 351, 1 *], [* 701, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
9
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 1400,
    [ [* 801, -1 *], [* 1177, 1 *], [* 351, 1 *], [* 701, -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:=
[* 1400,
    [ [* 801, -1 *], [* 1177,
        a
    *], [* 351, -1 *], [* 701, 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:=
[* 1400,
    [ [* 801, -1 *], [* 1177,
        a
    *], [* 351, -1 *], [* 701, -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:=
[* 1400,
    [ [* 801, -1 *], [* 1177,
        a
    *], [* 351, 1 *], [* 701, 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:=
[* 1400,
    [ [* 801, -1 *], [* 1177,
        1/310575*(-28580*a^14 + 115783*a^12 - 350604*a^10 + 937655*a^8 - 4354100*a^6 - 635805*a^4 - 3005464*a^2 + 489957)
    *], [* 351, 1 *], [* 701, -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:=
[* 1400,
    [ [* 801, -1 *], [* 1177,
        a^2
    *], [* 351, 1 *], [* 701, 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:=
[* 1400,
    [ [* 801, -1 *], [* 1177,
        a^2
    *], [* 351, 1 *], [* 701, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1400,
    [ [* 801, -1 *], [* 1177,
        a
    *], [* 351, -1 *], [* 701, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 8*x^6 + 8*x^5 + 50*x^4 + 64*x^3 - 72*x^2 - 248*x + 241
);
eps_on_gens:=
[* 1400,
    [ [* 801, -1 *], [* 1177,
        1/24966*(262*a^7 + 31*a^6 - 1600*a^5 + 1462*a^4 + 11526*a^3 + 22261*a^2 + 4432*a - 35674)
    *], [* 351, -1 *], [* 701, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1400,
    [ [* 801, -1 *], [* 1177, -1 *], [* 351, 1 *], [* 701, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1400,
    [ [* 801, -1 *], [* 1177, -1 *], [* 351, 1 *], [* 701, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
