Qx<x>:=PolynomialRing(Rationals());
dimensions_list:=[**];
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1401,
    [ [* 469, 1 *], [* 935, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^232 - x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - 
    x^213 + x^212 - x^211 + x^210 - x^209 + x^208 - x^207 + x^206 - x^205 + x^204 - x^203 + x^202 - x^201 + x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + 
    x^194 - x^193 + x^192 - x^191 + x^190 - x^189 + x^188 - x^187 + x^186 - x^185 + x^184 - x^183 + x^182 - x^181 + x^180 - x^179 + x^178 - x^177 + x^176 - 
    x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + 
    x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + x^140 - x^139 + x^138 - 
    x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - x^121 + x^120 - x^119 + 
    x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - 
    x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 
    - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + 
    x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 
    + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - 
    x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1401,
    [ [* 469,
        a
    *], [* 935, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^232 - x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - 
    x^213 + x^212 - x^211 + x^210 - x^209 + x^208 - x^207 + x^206 - x^205 + x^204 - x^203 + x^202 - x^201 + x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + 
    x^194 - x^193 + x^192 - x^191 + x^190 - x^189 + x^188 - x^187 + x^186 - x^185 + x^184 - x^183 + x^182 - x^181 + x^180 - x^179 + x^178 - x^177 + x^176 - 
    x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + 
    x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + x^140 - x^139 + x^138 - 
    x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - x^121 + x^120 - x^119 + 
    x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - 
    x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 
    - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + 
    x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 
    + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - 
    x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1401,
    [ [* 469,
        a^2
    *], [* 935, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1401,
    [ [* 469, -1 *], [* 935, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 + x^230 - x^190 - x^180 - x^170 - x^160 + x^140 + x^130 + x^120 + x^110 + x^100 - x^80 - x^70 - x^60 - x^50 + x^10 + 1
);
eps_on_gens:=
[* 1402,
    [ [* 703,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1402,
    [ [* 703,
        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:=
[* 1402,
    [ [* 703,
        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:=
[* 1402,
    [ [* 703,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1402,
    [ [* 703,
        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:=
[* 1402,
    [ [* 703,
        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:=
[* 1403,
    [ [* 672,
        a
    *], [* 185, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1403,
    [ [* 672, -1 *], [* 185, 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:=
[* 1403,
    [ [* 672, 1 *], [* 185,
        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:=
[* 1403,
    [ [* 672,
        a^60
    *], [* 185,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^79 + x^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1403,
    [ [* 672,
        a^15
    *], [* 185,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1403,
    [ [* 672, -1 *], [* 185,
        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:=
[* 1403,
    [ [* 672, 1 *], [* 185,
        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:=
[* 1403,
    [ [* 672,
        a^20
    *], [* 185,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^79 + x^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1403,
    [ [* 672,
        a^15
    *], [* 185,
        a^22
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1403,
    [ [* 672, -1 *], [* 185,
        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:=
[* 1403,
    [ [* 672, 1 *], [* 185,
        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:=
[* 1403,
    [ [* 672,
        a^12
    *], [* 185,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1403,
    [ [* 672,
        a^5
    *], [* 185,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1403,
    [ [* 672, -1 *], [* 185,
        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:=
[* 1403,
    [ [* 672,
        a^3
    *], [* 185,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1403,
    [ [* 672, -1 *], [* 185,
        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:=
[* 1403,
    [ [* 672,
        a^5
    *], [* 185,
        a^22
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1403,
    [ [* 672, -1 *], [* 185,
        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:=
[* 1403,
    [ [* 672, 1 *], [* 185,
        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:=
[* 1403,
    [ [* 672,
        a^4
    *], [* 185,
        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:=
[* 1403,
    [ [* 672,
        a^3
    *], [* 185,
        a^11 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1403,
    [ [* 672, -1 *], [* 185,
        a^2 - 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:=
[* 1403,
    [ [* 672,
        a
    *], [* 185, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1403,
    [ [* 672, -1 *], [* 185, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1404,
    [ [* 1081, 1 *], [* 703, -1 *], [* 677, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081, 1 *], [* 703, 1 *], [* 677,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081, 1 *], [* 703, -1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081, 1 *], [* 703, 1 *], [* 677,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081, 1 *], [* 703, -1 *], [* 677,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1404,
    [ [* 1081, 1 *], [* 703, 1 *], [* 677, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
5
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, 1 *], [* 677, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a^3
    *], [* 703, -1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081,
        a^3
    *], [* 703, 1 *], [* 677,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, -1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081,
        a^3
    *], [* 703, 1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081,
        a^3
    *], [* 703, -1 *], [* 677,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, 1 *], [* 677,
        a^2 - 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:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, -1 *], [* 677, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, 1 *], [* 677,
        -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:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, -1 *], [* 677,
        -a^2 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, -1 *], [* 677, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a^3
    *], [* 703, 1 *], [* 677,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a^3
    *], [* 703, -1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, 1 *], [* 677,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a^3
    *], [* 703, -1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081,
        a^3
    *], [* 703, 1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, -1 *], [* 677,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, 1 *], [* 677, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, -1 *], [* 677,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, 1 *], [* 677,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 - 2*x^3 + 2*x^2 + 2*x + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        1/2*(-a^3 + 3*a^2 - 3*a - 1)
    *], [* 703, 1 *], [* 677, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a^9
    *], [* 703, -1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081,
        a^9
    *], [* 703, 1 *], [* 677,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a^3
    *], [* 703, -1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081,
        a^3
    *], [* 703, 1 *], [* 677,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a
    *], [* 703, -1 *], [* 677, -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:=
[* 1404,
    [ [* 1081,
        a - 1
    *], [* 703, -1 *], [* 677, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a^3 - 1
    *], [* 703, 1 *], [* 677,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a^3 - 1
    *], [* 703, -1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081,
        a - 1
    *], [* 703, 1 *], [* 677,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a^3 - 1
    *], [* 703, -1 *], [* 677,
        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:=
[* 1404,
    [ [* 1081,
        a^3 - 1
    *], [* 703, 1 *], [* 677,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - 2*x^3 + 5*x^2 - 4*x + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        -2*a^3 + 3*a^2 - 8*a + 3
    *], [* 703, -1 *], [* 677,
        -2*a^3 + 3*a^2 - 8*a + 3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
10
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a - 1
    *], [* 703, 1 *], [* 677, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081,
        a^2 - 1
    *], [* 703, -1 *], [* 677,
        -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:=
[* 1404,
    [ [* 1081,
        a - 1
    *], [* 703, 1 *], [* 677,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1404,
    [ [* 1081, -1 *], [* 703, -1 *], [* 677, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081, -1 *], [* 703, 1 *], [* 677,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081, -1 *], [* 703, -1 *], [* 677,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081, -1 *], [* 703, 1 *], [* 677,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1404,
    [ [* 1081, -1 *], [* 703, -1 *], [* 677,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
21
;
C:=Rationals();
eps_on_gens:=
[* 1404,
    [ [* 1081, -1 *], [* 703, 1 *], [* 677, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846, 1 *], [* 282,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^92 - x^76 - x^72 - x^68 - x^64 + x^56 + x^52 + x^48 + x^44 + x^40 - x^32 - x^28 - x^24 - x^20 + x^4 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a
    *], [* 282, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^92 - x^76 - x^72 - x^68 - x^64 + x^56 + x^52 + x^48 + x^44 + x^40 - x^32 - x^28 - x^24 - x^20 + x^4 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a
    *], [* 282, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a
    *], [* 282,
        a^35
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a
    *], [* 282,
        -a^35
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a^2
    *], [* 282,
        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^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a
    *], [* 282, 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:=
[* 1405,
    [ [* 846,
        a
    *], [* 282, -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:=
[* 1405,
    [ [* 846,
        a
    *], [* 282, 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:=
[* 1405,
    [ [* 846,
        a
    *], [* 282, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a^4
    *], [* 282,
        a^35
    *] ]
*]
;
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:=
[* 1405,
    [ [* 846,
        a
    *], [* 282,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a
    *], [* 282,
        -a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a
    *], [* 282,
        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:=
[* 1405,
    [ [* 846,
        a
    *], [* 282,
        -a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a^2
    *], [* 282,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a^2
    *], [* 282,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a
    *], [* 282, 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:=
[* 1405,
    [ [* 846,
        a
    *], [* 282, -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:=
[* 1405,
    [ [* 846,
        a^4
    *], [* 282,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1405,
    [ [* 846,
        a^4
    *], [* 282,
        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:=
[* 1405,
    [ [* 846,
        a
    *], [* 282,
        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:=
[* 1405,
    [ [* 846,
        a
    *], [* 282,
        -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:=
[* 1405,
    [ [* 846, -1 *], [* 282,
        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:=
[* 1406,
    [ [* 39, 1 *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39, 1 *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1406,
    [ [* 39, 1 *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        a^6 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        a^10 - a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        -a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        -a^8 + a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        a^4 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        -a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        -a^5 + a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^3
    *], [* 667,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^3
    *], [* 667,
        a^8
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^2
    *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^2
    *], [* 667,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^2
    *], [* 667,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^2
    *], [* 667,
        a^4 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^2
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^2
    *], [* 667,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^2
    *], [* 667,
        -a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^2
    *], [* 667,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^2
    *], [* 667,
        -a^5 + a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^3
    *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^3
    *], [* 667,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a
    *], [* 667, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^9
    *], [* 667,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^3
    *], [* 667,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^3 - 1
    *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a - 1
    *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a^3 - 1
    *], [* 667,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a - 1
    *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39,
        a - 1
    *], [* 667,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39, -1 *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1406,
    [ [* 39, -1 *], [* 667,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1406,
    [ [* 39, -1 *], [* 667, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1407,
    [ [* 337, 1 *], [* 1207, 1 *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337, 1 *], [* 1207,
        a
    *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337, 1 *], [* 1207,
        a - 1
    *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1407,
    [ [* 337, 1 *], [* 1207, -1 *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207, 1 *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207,
        a^11
    *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207,
        a^11 - 1
    *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207, -1 *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207,
        -a^11
    *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207,
        -a^11 + 1
    *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a^2
    *], [* 1207, 1 *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a^2
    *], [* 1207,
        a^11
    *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a^2
    *], [* 1207,
        a^11 - 1
    *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a^2
    *], [* 1207, -1 *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a^2
    *], [* 1207,
        -a^11
    *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a^2
    *], [* 1207,
        -a^11 + 1
    *], [* 470, 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:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207, 1 *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a^3
    *], [* 1207,
        a^11
    *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a^3
    *], [* 1207,
        a^11 - 1
    *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207, -1 *], [* 470, -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:=
[* 1407,
    [ [* 337,
        a^2
    *], [* 1207, 1 *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a^6
    *], [* 1207,
        a^11
    *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a^6
    *], [* 1207,
        a^11 - 1
    *], [* 470, -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:=
[* 1407,
    [ [* 337,
        a^2
    *], [* 1207, -1 *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207, 1 *], [* 470, 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:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207,
        a
    *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207,
        a - 1
    *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207, -1 *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207,
        -a
    *], [* 470, 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:=
[* 1407,
    [ [* 337,
        a
    *], [* 1207,
        -a + 1
    *], [* 470, -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:=
[* 1407,
    [ [* 337,
        a - 1
    *], [* 1207, 1 *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a - 1
    *], [* 1207,
        a
    *], [* 470, 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:=
[* 1407,
    [ [* 337,
        a - 1
    *], [* 1207,
        a - 1
    *], [* 470, -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:=
[* 1407,
    [ [* 337,
        a - 1
    *], [* 1207, -1 *], [* 470, 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:=
[* 1407,
    [ [* 337,
        a - 1
    *], [* 1207,
        -a
    *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337,
        a - 1
    *], [* 1207,
        -a + 1
    *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1407,
    [ [* 337, -1 *], [* 1207, 1 *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337, -1 *], [* 1207,
        a
    *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1407,
    [ [* 337, -1 *], [* 1207,
        a - 1
    *], [* 470, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
14
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1407,
    [ [* 337, -1 *], [* 1207, -1 *], [* 470, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1408,
    [ [* 639, -1 *], [* 1025, 1 *], [* 133, 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:=
[* 1408,
    [ [* 639, -1 *], [* 1025, 1 *], [* 133,
        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:=
[* 1408,
    [ [* 639, -1 *], [* 1025, 1 *], [* 133,
        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:=
[* 1408,
    [ [* 639, -1 *], [* 1025, 1 *], [* 133,
        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:=
[* 1408,
    [ [* 639, -1 *], [* 1025, 1 *], [* 133,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1408,
    [ [* 639, -1 *], [* 1025, 1 *], [* 133, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1408,
    [ [* 639, 1 *], [* 1025,
        a
    *], [* 133, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 - x^48 + x^32 - x^16 + 1
);
eps_on_gens:=
[* 1408,
    [ [* 639, 1 *], [* 1025,
        a^16
    *], [* 133,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1408,
    [ [* 639, 1 *], [* 1025,
        a^8
    *], [* 133,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1408,
    [ [* 639, 1 *], [* 1025,
        a^4
    *], [* 133,
        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:=
[* 1408,
    [ [* 639, 1 *], [* 1025,
        a^2
    *], [* 133,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1408,
    [ [* 639, 1 *], [* 1025,
        a
    *], [* 133, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1408,
    [ [* 639, -1 *], [* 1025,
        a^2
    *], [* 133, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 - x^48 + x^32 - x^16 + 1
);
eps_on_gens:=
[* 1408,
    [ [* 639, -1 *], [* 1025,
        a^32
    *], [* 133,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1408,
    [ [* 639, -1 *], [* 1025,
        a^16
    *], [* 133,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1408,
    [ [* 639, -1 *], [* 1025,
        a^8
    *], [* 133,
        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:=
[* 1408,
    [ [* 639, -1 *], [* 1025,
        a^4
    *], [* 133,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
8
;
C<a>:=NumberField(
x^8 + 5*x^6 + 10*x^4 + 25
);
eps_on_gens:=
[* 1408,
    [ [* 639, -1 *], [* 1025,
        1/55*(2*a^6 + 14*a^4 + 15*a^2 - 25)
    *], [* 133, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 1408,
    [ [* 639, 1 *], [* 1025, -1 *], [* 133, 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:=
[* 1408,
    [ [* 639, 1 *], [* 1025, -1 *], [* 133,
        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:=
[* 1408,
    [ [* 639, 1 *], [* 1025, -1 *], [* 133,
        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:=
[* 1408,
    [ [* 639, 1 *], [* 1025, -1 *], [* 133,
        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:=
[* 1408,
    [ [* 639, 1 *], [* 1025, -1 *], [* 133,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1408,
    [ [* 639, 1 *], [* 1025, -1 *], [* 133, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^640 - x^576 + x^512 - x^448 + x^384 - x^320 + x^256 - x^192 + x^128 - x^64 + 1
);
eps_on_gens:=
[* 1409,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^64 + 1
);
eps_on_gens:=
[* 1409,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1410,
    [ [* 847, 1 *], [* 1321, 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 + 1
);
eps_on_gens:=
[* 1410,
    [ [* 847,
        a
    *], [* 1321, 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:=
[* 1410,
    [ [* 847, -1 *], [* 1321, 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:=
[* 1410,
    [ [* 847, 1 *], [* 1321,
        a
    *], [* 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^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:=
[* 1410,
    [ [* 847,
        a^23
    *], [* 1321,
        a^2
    *], [* 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:=
[* 1410,
    [ [* 847, -1 *], [* 1321,
        a
    *], [* 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:=
[* 1410,
    [ [* 847, 1 *], [* 1321,
        a^2
    *], [* 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^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:=
[* 1410,
    [ [* 847,
        a^23
    *], [* 1321,
        a^4
    *], [* 941, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
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:=
[* 1410,
    [ [* 847, -1 *], [* 1321,
        a^2
    *], [* 941, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1410,
    [ [* 847, 1 *], [* 1321, -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 + 1
);
eps_on_gens:=
[* 1410,
    [ [* 847,
        a
    *], [* 1321, -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:=
[* 1410,
    [ [* 847, -1 *], [* 1321, -1 *], [* 941, 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:=
[* 1411,
    [ [* 749, 1 *], [* 1329,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + 
    x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1411,
    [ [* 749,
        a
    *], [* 1329, 1 *] ]
*]
;
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^152 - x^148 + x^144 - x^140 + x^136 - x^132 + x^128 - x^124 + x^120 - x^116 + x^112 - x^108 + x^104 - x^100 + x^96 - x^92 + x^88 - x^84 + 
    x^80 - x^76 + x^72 - x^68 + x^64 - x^60 + x^56 - x^52 + x^48 - x^44 + x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1411,
    [ [* 749,
        a^4
    *], [* 1329,
        a^41
    *] ]
*]
;
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:=
[* 1411,
    [ [* 749,
        a^2
    *], [* 1329,
        a^41
    *] ]
*]
;
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:=
[* 1411,
    [ [* 749,
        a
    *], [* 1329, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^320 - x^312 + x^304 - x^296 + x^288 - x^280 + x^272 - x^264 + x^256 - x^248 + x^240 - x^232 + x^224 - x^216 + x^208 - x^200 + x^192 - x^184 + x^176 - 
    x^168 + x^160 - x^152 + x^144 - x^136 + x^128 - x^120 + x^112 - x^104 + x^96 - x^88 + x^80 - x^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 - x^8
    + 1
);
eps_on_gens:=
[* 1411,
    [ [* 749,
        a^16
    *], [* 1329,
        a^41
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1411,
    [ [* 749, -1 *], [* 1329, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 2*x^6 - 4*x^5 + 2*x^4 + 16*x^3 + 18*x^2 + 4*x + 1
);
eps_on_gens:=
[* 1411,
    [ [* 749, -1 *], [* 1329,
        1/210*(27*a^7 + 11*a^6 - 56*a^5 - 136*a^4 + 31*a^3 + 385*a^2 + 696*a + 236)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 2*x^2 + 2*x + 1
);
eps_on_gens:=
[* 1411,
    [ [* 749, -1 *], [* 1329,
        1/2*(-a^3 + 3*a^2 - 3*a - 1)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1411,
    [ [* 749, -1 *], [* 1329, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1412,
    [ [* 709, 1 *], [* 707, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^160 - x^144 + x^128 - x^112 + x^96 - x^80 + x^64 - x^48 + x^32 - x^16 + 1
);
eps_on_gens:=
[* 1412,
    [ [* 709,
        a
    *], [* 707, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1412,
    [ [* 709,
        a
    *], [* 707, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 1412,
    [ [* 709,
        a
    *], [* 707, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1412,
    [ [* 709,
        a
    *], [* 707, -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:=
[* 1412,
    [ [* 709,
        a
    *], [* 707, 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:=
[* 1412,
    [ [* 709,
        a
    *], [* 707, -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:=
[* 1412,
    [ [* 709,
        a
    *], [* 707, -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:=
[* 1412,
    [ [* 709,
        a^2
    *], [* 707, -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:=
[* 1412,
    [ [* 709,
        a
    *], [* 707, -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:=
[* 1412,
    [ [* 709,
        a
    *], [* 707, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1412,
    [ [* 709, -1 *], [* 707, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261, 1 *], [* 1100,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1413,
    [ [* 1261, 1 *], [* 1100, -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:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100, 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:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100,
        a^26 - 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:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100,
        -a^26
    *] ]
*]
;
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:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100,
        a^13
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100, -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:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100,
        -a^13 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100, 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:=
[* 1413,
    [ [* 1261,
        a^3
    *], [* 1100,
        a^26 - 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:=
[* 1413,
    [ [* 1261,
        a^2
    *], [* 1100,
        a^13
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a^2
    *], [* 1100, -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:=
[* 1413,
    [ [* 1261,
        a^2
    *], [* 1100,
        -a^13 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a^3
    *], [* 1100,
        a^13
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100, -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:=
[* 1413,
    [ [* 1261,
        a^6
    *], [* 1100,
        a^13
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a^2
    *], [* 1100, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100,
        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:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100,
        -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:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100,
        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:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a
    *], [* 1100, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a^3
    *], [* 1100,
        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:=
[* 1413,
    [ [* 1261,
        a - 1
    *], [* 1100,
        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:=
[* 1413,
    [ [* 1261,
        a - 1
    *], [* 1100, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1413,
    [ [* 1261,
        a - 1
    *], [* 1100,
        -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:=
[* 1413,
    [ [* 1261, -1 *], [* 1100,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 1413,
    [ [* 1261, -1 *], [* 1100, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1414,
    [ [* 1011,
        a
    *], [* 911, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1414,
    [ [* 1011, -1 *], [* 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:=
[* 1414,
    [ [* 1011, 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:=
[* 1414,
    [ [* 1011,
        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^35 - x^25 - x^20 - x^15 + x^5 + 1
);
eps_on_gens:=
[* 1414,
    [ [* 1011,
        a^25
    *], [* 911,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1414,
    [ [* 1011, -1 *], [* 911,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^35 - x^25 - x^20 - x^15 + x^5 + 1
);
eps_on_gens:=
[* 1414,
    [ [* 1011,
        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^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1414,
    [ [* 1011, -1 *], [* 911,
        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:=
[* 1414,
    [ [* 1011, 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:=
[* 1414,
    [ [* 1011,
        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^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1414,
    [ [* 1011,
        a^5
    *], [* 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^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1414,
    [ [* 1011, -1 *], [* 911,
        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:=
[* 1414,
    [ [* 1011,
        a^5
    *], [* 911,
        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:=
[* 1414,
    [ [* 1011, -1 *], [* 911,
        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:=
[* 1414,
    [ [* 1011, 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:=
[* 1414,
    [ [* 1011,
        a^2 - 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^2 - x + 1
);
eps_on_gens:=
[* 1414,
    [ [* 1011,
        a
    *], [* 911, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1414,
    [ [* 1011, -1 *], [* 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:=
[* 1415,
    [ [* 567,
        a
    *], [* 286, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^92 + x^91 - x^89 - x^88 + x^86 + x^85 - x^83 - x^82 + x^80 + x^79 - x^77 - x^76 + x^74 + x^73 - x^71 - x^70 + x^68 + x^67 - x^65 - x^64 + x^62 + x^61 - 
    x^59 - x^58 + x^56 + x^55 - x^53 - x^52 + x^50 + x^49 - x^47 - x^46 - x^45 + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 
    - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1415,
    [ [* 567, 1 *], [* 286,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^92 + x^91 - x^89 - x^88 + x^86 + x^85 - x^83 - x^82 + x^80 + x^79 - x^77 - x^76 + x^74 + x^73 - x^71 - x^70 + x^68 + x^67 - x^65 - x^64 + x^62 + x^61 - 
    x^59 - x^58 + x^56 + x^55 - x^53 - x^52 + x^50 + x^49 - x^47 - x^46 - x^45 + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 
    - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1415,
    [ [* 567, -1 *], [* 286,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
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^100 + x^98 - x^94 - 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:=
[* 1415,
    [ [* 567,
        a^141
    *], [* 286,
        a^4
    *] ]
*]
;
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:=
[* 1415,
    [ [* 567, 1 *], [* 286,
        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:=
[* 1415,
    [ [* 567, -1 *], [* 286,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + 
    x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + 
    x^4 - x^2 + 1
);
eps_on_gens:=
[* 1415,
    [ [* 567,
        a^47
    *], [* 286,
        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:=
[* 1415,
    [ [* 567, 1 *], [* 286,
        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:=
[* 1415,
    [ [* 567, -1 *], [* 286,
        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:=
[* 1415,
    [ [* 567,
        a^3
    *], [* 286,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1415,
    [ [* 567, 1 *], [* 286, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
16
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1415,
    [ [* 567, -1 *], [* 286, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1416,
    [ [* 769, 1 *], [* 1063, -1 *], [* 473, 1 *], [* 709, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1416,
    [ [* 769, 1 *], [* 1063, -1 *], [* 473, 1 *], [* 709, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1416,
    [ [* 769, 1 *], [* 1063, 1 *], [* 473, -1 *], [* 709, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1416,
    [ [* 769, 1 *], [* 1063, 1 *], [* 473, -1 *], [* 709, -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:=
[* 1416,
    [ [* 769,
        a
    *], [* 1063, 1 *], [* 473, 1 *], [* 709, 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:=
[* 1416,
    [ [* 769,
        a
    *], [* 1063, 1 *], [* 473, 1 *], [* 709, -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:=
[* 1416,
    [ [* 769,
        a
    *], [* 1063, -1 *], [* 473, -1 *], [* 709, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
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:=
[* 1416,
    [ [* 769,
        a
    *], [* 1063, -1 *], [* 473, -1 *], [* 709, -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:=
[* 1416,
    [ [* 769,
        a^2
    *], [* 1063, -1 *], [* 473, 1 *], [* 709, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 -
    x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1416,
    [ [* 769,
        a^2
    *], [* 1063, -1 *], [* 473, 1 *], [* 709, -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:=
[* 1416,
    [ [* 769,
        a^2
    *], [* 1063, 1 *], [* 473, -1 *], [* 709, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
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:=
[* 1416,
    [ [* 769,
        a^2
    *], [* 1063, 1 *], [* 473, -1 *], [* 709, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 1416,
    [ [* 769, -1 *], [* 1063, 1 *], [* 473, 1 *], [* 709, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1416,
    [ [* 769, -1 *], [* 1063, 1 *], [* 473, 1 *], [* 709, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1416,
    [ [* 769, -1 *], [* 1063, -1 *], [* 473, -1 *], [* 709, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1416,
    [ [* 769, -1 *], [* 1063, -1 *], [* 473, -1 *], [* 709, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314, 1 *], [* 873,
        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:=
[* 1417,
    [ [* 1314, 1 *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873, 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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        a^18
    *] ]
*]
;
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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        a^18 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 - x^18 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873, -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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        -a^18
    *] ]
*]
;
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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        -a^18 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 - x^18 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a^2
    *], [* 873,
        a^9
    *] ]
*]
;
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:=
[* 1417,
    [ [* 1314,
        a^2
    *], [* 873,
        a^27
    *] ]
*]
;
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:=
[* 1417,
    [ [* 1314,
        a^2
    *], [* 873,
        a^27 - a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873, 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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873, -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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        -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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        -a^6 + 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:=
[* 1417,
    [ [* 1314,
        a^4
    *], [* 873,
        a^9
    *] ]
*]
;
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:=
[* 1417,
    [ [* 1314,
        a^4
    *], [* 873,
        a^27
    *] ]
*]
;
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:=
[* 1417,
    [ [* 1314,
        a^4
    *], [* 873,
        a^27 - a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a^2
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a^2
    *], [* 873,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a^2
    *], [* 873,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        -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:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873,
        -a^2 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a^4
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a^4
    *], [* 873,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a^4
    *], [* 873,
        a^9 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a^2
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a^2
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a^2
    *], [* 873,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a^3
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a^3
    *], [* 873,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a
    *], [* 873, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314,
        a^2 - 1
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a^2 - 1
    *], [* 873,
        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:=
[* 1417,
    [ [* 1314,
        a^2 - 1
    *], [* 873,
        a^3 - a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1417,
    [ [* 1314, -1 *], [* 873,
        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:=
[* 1417,
    [ [* 1314, -1 *], [* 873,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^232 + x^230 - x^226 - x^224 + x^220 + x^218 - x^214 - x^212 + x^208 + x^206 - x^202 - x^200 + x^196 + x^194 - x^190 - x^188 + x^184 + x^182 - x^178 - 
    x^176 + x^172 + x^170 - x^166 - x^164 + x^160 + x^158 - x^154 - x^152 + x^148 + x^146 - x^142 - x^140 + x^136 + x^134 - x^130 - x^128 + x^124 + x^122 - 
    x^118 - x^116 - x^114 + x^110 + x^108 - x^104 - x^102 + x^98 + x^96 - x^92 - x^90 + x^86 + x^84 - x^80 - x^78 + x^74 + x^72 - x^68 - x^66 + x^62 + x^60 
    - x^56 - x^54 + x^50 + x^48 - x^44 - x^42 + x^38 + x^36 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1418,
    [ [* 711,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^116 - x^114 + x^112 - x^110 + x^108 - x^106 + x^104 - x^102 + x^100 - x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - 
    x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 
    - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1418,
    [ [* 711,
        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:=
[* 1418,
    [ [* 711,
        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:=
[* 1418,
    [ [* 711,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1419,
    [ [* 904, 1 *], [* 562, 1 *], [* 947, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a
    *], [* 562, 1 *], [* 947, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a^2
    *], [* 562, 1 *], [* 947, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1419,
    [ [* 904, -1 *], [* 562, 1 *], [* 947, 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:=
[* 1419,
    [ [* 904, 1 *], [* 562,
        a
    *], [* 947, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a^21
    *], [* 562,
        a^5
    *], [* 947, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a^42
    *], [* 562,
        a^5
    *], [* 947, 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:=
[* 1419,
    [ [* 904, -1 *], [* 562,
        a
    *], [* 947, -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:=
[* 1419,
    [ [* 904, 1 *], [* 562,
        a^2
    *], [* 947, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a^21
    *], [* 562,
        a^10
    *], [* 947, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a^42
    *], [* 562,
        a^10
    *], [* 947, -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:=
[* 1419,
    [ [* 904, -1 *], [* 562,
        a^2
    *], [* 947, 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:=
[* 1419,
    [ [* 904, 1 *], [* 562,
        a
    *], [* 947, 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:=
[* 1419,
    [ [* 904,
        a^7
    *], [* 562,
        a^5
    *], [* 947, -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:=
[* 1419,
    [ [* 904,
        a^14
    *], [* 562,
        a^5
    *], [* 947, 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:=
[* 1419,
    [ [* 904, -1 *], [* 562,
        a
    *], [* 947, -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:=
[* 1419,
    [ [* 904, 1 *], [* 562,
        a^2
    *], [* 947, -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:=
[* 1419,
    [ [* 904,
        a^7
    *], [* 562,
        a^10
    *], [* 947, 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:=
[* 1419,
    [ [* 904,
        a^14
    *], [* 562,
        a^10
    *], [* 947, -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:=
[* 1419,
    [ [* 904, -1 *], [* 562,
        a^2
    *], [* 947, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904, 1 *], [* 562,
        a
    *], [* 947, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a^3
    *], [* 562,
        a^5
    *], [* 947, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a^6
    *], [* 562,
        a^5
    *], [* 947, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904, -1 *], [* 562,
        a
    *], [* 947, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904, 1 *], [* 562,
        a - 1
    *], [* 947, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a^3
    *], [* 562,
        a^5 - 1
    *], [* 947, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a^6
    *], [* 562,
        a^5 - 1
    *], [* 947, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904, -1 *], [* 562,
        a - 1
    *], [* 947, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1419,
    [ [* 904, 1 *], [* 562, -1 *], [* 947, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1419,
    [ [* 904,
        a
    *], [* 562, -1 *], [* 947, -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:=
[* 1419,
    [ [* 904,
        a^2
    *], [* 562, -1 *], [* 947, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1419,
    [ [* 904, -1 *], [* 562, -1 *], [* 947, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1420,
    [ [* 711, -1 *], [* 1137, 1 *], [* 1001, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1420,
    [ [* 711, 1 *], [* 1137,
        a
    *], [* 1001, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1420,
    [ [* 711, -1 *], [* 1137, -1 *], [* 1001, 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:=
[* 1420,
    [ [* 711, 1 *], [* 1137, 1 *], [* 1001,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1420,
    [ [* 711, -1 *], [* 1137,
        a^35
    *], [* 1001,
        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:=
[* 1420,
    [ [* 711, 1 *], [* 1137, -1 *], [* 1001,
        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:=
[* 1420,
    [ [* 711, -1 *], [* 1137, 1 *], [* 1001,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1420,
    [ [* 711, 1 *], [* 1137,
        a^35
    *], [* 1001,
        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^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:=
[* 1420,
    [ [* 711, -1 *], [* 1137, -1 *], [* 1001,
        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:=
[* 1420,
    [ [* 711, 1 *], [* 1137, 1 *], [* 1001,
        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:=
[* 1420,
    [ [* 711, -1 *], [* 1137,
        a^7
    *], [* 1001,
        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:=
[* 1420,
    [ [* 711, 1 *], [* 1137, -1 *], [* 1001,
        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:=
[* 1420,
    [ [* 711, 1 *], [* 1137, 1 *], [* 1001,
        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:=
[* 1420,
    [ [* 711, -1 *], [* 1137,
        a^5
    *], [* 1001,
        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:=
[* 1420,
    [ [* 711, 1 *], [* 1137, -1 *], [* 1001,
        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:=
[* 1420,
    [ [* 711, -1 *], [* 1137, 1 *], [* 1001,
        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:=
[* 1420,
    [ [* 711, 1 *], [* 1137,
        a^7
    *], [* 1001,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1420,
    [ [* 711, -1 *], [* 1137, -1 *], [* 1001,
        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:=
[* 1420,
    [ [* 711, -1 *], [* 1137, 1 *], [* 1001,
        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:=
[* 1420,
    [ [* 711, 1 *], [* 1137,
        a^5
    *], [* 1001,
        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:=
[* 1420,
    [ [* 711, -1 *], [* 1137, -1 *], [* 1001,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 1420,
    [ [* 711, 1 *], [* 1137, 1 *], [* 1001, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
14
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 + 5*x^4 + 6*x^2 + 1
);
eps_on_gens:=
[* 1420,
    [ [* 711, -1 *], [* 1137,
        -a^5 - 4*a^3 - 3*a
    *], [* 1001, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
21
;
C:=Rationals();
eps_on_gens:=
[* 1420,
    [ [* 711, 1 *], [* 1137, -1 *], [* 1001, -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:=
[* 1421,
    [ [* 785, 1 *], [* 1277,
        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:=
[* 1421,
    [ [* 785, 1 *], [* 1277,
        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:=
[* 1421,
    [ [* 785, 1 *], [* 1277,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1421,
    [ [* 785, 1 *], [* 1277, -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:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277, 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:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        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^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        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^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        a^20
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        a^8
    *] ]
*]
;
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:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        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^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        a^10 - a^8 + 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^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        a^22 + a^20 - a^16 - a^14 + a^10 - 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^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        -a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        -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:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        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:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        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:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        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:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        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:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        a^11 + a^10 - a^8 - a^7 + a^6 + a^5 - 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^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        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:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        a^10 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277, -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:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        -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:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        -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:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        -a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277,
        -a^5 + a^4 - 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^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^6
    *], [* 1277,
        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:=
[* 1421,
    [ [* 785,
        a^2
    *], [* 1277,
        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:=
[* 1421,
    [ [* 785,
        a^6
    *], [* 1277,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^6
    *], [* 1277,
        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:=
[* 1421,
    [ [* 785,
        a^2
    *], [* 1277,
        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:=
[* 1421,
    [ [* 785,
        a^6
    *], [* 1277,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^6
    *], [* 1277,
        a^11 + a^10 - a^8 - a^7 + a^6 + a^5 - 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^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^2
    *], [* 1277,
        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:=
[* 1421,
    [ [* 785,
        a^6
    *], [* 1277,
        a^10 - a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^2
    *], [* 1277, -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:=
[* 1421,
    [ [* 785,
        a^6
    *], [* 1277,
        -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:=
[* 1421,
    [ [* 785,
        a^2
    *], [* 1277,
        -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:=
[* 1421,
    [ [* 785,
        a^2
    *], [* 1277,
        -a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^2
    *], [* 1277,
        -a^5 + a^4 - a^3 + a^2 - a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a
    *], [* 1277, 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:=
[* 1421,
    [ [* 785,
        a^21
    *], [* 1277,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^7
    *], [* 1277,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785,
        a^3
    *], [* 1277,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1421,
    [ [* 785, -1 *], [* 1277,
        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:=
[* 1421,
    [ [* 785, -1 *], [* 1277,
        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:=
[* 1421,
    [ [* 785, -1 *], [* 1277,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1421,
    [ [* 785, -1 *], [* 1277, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793, 1 *], [* 317,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1422,
    [ [* 793, 1 *], [* 317, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a
    *], [* 317, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a
    *], [* 317,
        a^13 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a
    *], [* 317,
        -a^13
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a^2
    *], [* 317,
        a^13
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a^2
    *], [* 317, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a^2
    *], [* 317,
        -a^13 + 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:=
[* 1422,
    [ [* 793,
        a
    *], [* 317, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a^3
    *], [* 317,
        a^13 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a^6
    *], [* 317,
        a^13
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a^2
    *], [* 317, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a
    *], [* 317, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a
    *], [* 317,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a
    *], [* 317,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a - 1
    *], [* 317,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a - 1
    *], [* 317, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793,
        a - 1
    *], [* 317,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
26
;
C:=Rationals();
eps_on_gens:=
[* 1422,
    [ [* 793, -1 *], [* 317, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1422,
    [ [* 793, -1 *], [* 317,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^468 + x^465 - x^459 - x^456 + x^450 + x^447 - x^441 - x^438 + x^432 + x^429 - x^423 - x^420 + x^414 + x^411 - x^405 - x^402 + x^396 + x^393 - x^387 - 
    x^384 + x^378 + x^375 - x^369 - x^366 + x^360 + x^357 - x^351 - x^348 + x^342 + x^339 - x^333 - x^330 + x^324 + x^321 - x^315 - x^312 + x^306 + x^303 - 
    x^297 - x^294 + x^288 + x^285 - x^279 - x^276 + x^270 + x^267 - x^261 - x^258 + x^252 + x^249 - x^243 - x^240 + x^234 - x^228 - x^225 + x^219 + x^216 - 
    x^210 - x^207 + x^201 + x^198 - x^192 - x^189 + x^183 + x^180 - x^174 - x^171 + x^165 + x^162 - x^156 - x^153 + x^147 + x^144 - x^138 - x^135 + x^129 + 
    x^126 - x^120 - x^117 + x^111 + x^108 - x^102 - x^99 + x^93 + x^90 - x^84 - x^81 + x^75 + x^72 - x^66 - x^63 + x^57 + x^54 - x^48 - x^45 + x^39 + x^36 -
    x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1423,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^156 + x^155 - x^153 - x^152 + x^150 + x^149 - x^147 - x^146 + x^144 + x^143 - x^141 - x^140 + x^138 + x^137 - x^135 - x^134 + x^132 + x^131 - x^129 - 
    x^128 + x^126 + x^125 - x^123 - x^122 + x^120 + x^119 - x^117 - x^116 + x^114 + x^113 - x^111 - x^110 + x^108 + x^107 - x^105 - x^104 + x^102 + x^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^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:=
[* 1423,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + 
    x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 
    + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - 
    x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1423,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1423,
    [ [* 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:=
[* 1423,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1423,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1424,
    [ [* 1249, 1 *], [* 357, 1 *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1424,
    [ [* 1249, 1 *], [* 357,
        a
    *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1424,
    [ [* 1249, 1 *], [* 357, -1 *], [* 1247, -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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357, 1 *], [* 1247, 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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357,
        a^22
    *], [* 1247, 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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357, -1 *], [* 1247, 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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357,
        -a^22
    *], [* 1247, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357, 1 *], [* 1247, -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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357,
        a^11
    *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357, -1 *], [* 1247, -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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357,
        -a^11
    *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357, 1 *], [* 1247, -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:=
[* 1424,
    [ [* 1249,
        a^2
    *], [* 357,
        a^11
    *], [* 1247, -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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357, -1 *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1424,
    [ [* 1249,
        a^2
    *], [* 357, 1 *], [* 1247, -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:=
[* 1424,
    [ [* 1249,
        a^4
    *], [* 357,
        a^11
    *], [* 1247, -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:=
[* 1424,
    [ [* 1249,
        a^2
    *], [* 357, -1 *], [* 1247, -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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357, 1 *], [* 1247, 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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357,
        a^2
    *], [* 1247, 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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357, -1 *], [* 1247, 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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357,
        -a^2
    *], [* 1247, 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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357, 1 *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357,
        a
    *], [* 1247, -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:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357, -1 *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1424,
    [ [* 1249,
        a
    *], [* 357,
        -a
    *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
15
;
C:=Rationals();
eps_on_gens:=
[* 1424,
    [ [* 1249, -1 *], [* 357, 1 *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1424,
    [ [* 1249, -1 *], [* 357,
        a
    *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1424,
    [ [* 1249, -1 *], [* 357, -1 *], [* 1247, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1425,
    [ [* 1351, 1 *], [* 476, -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:=
[* 1425,
    [ [* 1351, 1 *], [* 476, 1 *], [* 1027,
        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:=
[* 1425,
    [ [* 1351, 1 *], [* 476, -1 *], [* 1027,
        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:=
[* 1425,
    [ [* 1351, 1 *], [* 476, -1 *], [* 1027,
        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:=
[* 1425,
    [ [* 1351, 1 *], [* 476, 1 *], [* 1027,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1425,
    [ [* 1351, 1 *], [* 476, -1 *], [* 1027, -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:=
[* 1425,
    [ [* 1351,
        a
    *], [* 476, 1 *], [* 1027, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^10
    *], [* 476, -1 *], [* 1027,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^5
    *], [* 476, 1 *], [* 1027,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^5
    *], [* 476, 1 *], [* 1027,
        a^18
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - 729*x^12 + 531441
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        1/6561*(a^16 - 729*a^4)
    *], [* 476, -1 *], [* 1027,
        1/19683*a^18
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a
    *], [* 476, 1 *], [* 1027, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        -a^10
    *], [* 476, -1 *], [* 1027, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^20
    *], [* 476, 1 *], [* 1027,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^10
    *], [* 476, -1 *], [* 1027,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^10
    *], [* 476, -1 *], [* 1027,
        a^18
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^4
    *], [* 476, 1 *], [* 1027,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^12 + 6*x^10 + 21*x^8 + 35*x^6 + 60*x^4 - 15*x^2 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        1/9271*(1870*a^10 + 11574*a^8 + 41580*a^6 + 74412*a^4 + 125999*a^2 - 8045)
    *], [* 476, -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:=
[* 1425,
    [ [* 1351,
        a
    *], [* 476, 1 *], [* 1027, 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:=
[* 1425,
    [ [* 1351,
        a^10
    *], [* 476, -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^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^5
    *], [* 476, 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^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^5
    *], [* 476, 1 *], [* 1027,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^4
    *], [* 476, -1 *], [* 1027,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a
    *], [* 476, 1 *], [* 1027, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
3
;
C<a>:=NumberField(
x^4 - 4*x^2 + 16
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        1/4*(a^2 - 4)
    *], [* 476, -1 *], [* 1027, 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:=
[* 1425,
    [ [* 1351,
        a^10 - 1
    *], [* 476, 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^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^5 - 1
    *], [* 476, -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^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^5 - 1
    *], [* 476, -1 *], [* 1027,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^2 - 1
    *], [* 476, 1 *], [* 1027,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351,
        a^2 - 1
    *], [* 476, -1 *], [* 1027, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1425,
    [ [* 1351, -1 *], [* 476, 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:=
[* 1425,
    [ [* 1351, -1 *], [* 476, -1 *], [* 1027,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351, -1 *], [* 476, 1 *], [* 1027,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1425,
    [ [* 1351, -1 *], [* 476, 1 *], [* 1027,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 16*x^6 + 24*x^5 + 90*x^4 - 96*x^3 - 80*x^2 - 264*x + 601
);
eps_on_gens:=
[* 1425,
    [ [* 1351, -1 *], [* 476, -1 *], [* 1027,
        1/16790*(22*a^7 - 75*a^6 + 684*a^5 - 888*a^4 + 4702*a^3 - 741*a^2 + 16564*a - 22896)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1425,
    [ [* 1351, -1 *], [* 476, 1 *], [* 1027, -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:=
[* 1426,
    [ [* 373,
        a
    *], [* 1243, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1426,
    [ [* 373, -1 *], [* 1243, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1426,
    [ [* 373, 1 *], [* 1243,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^79 + x^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1426,
    [ [* 373,
        a^30
    *], [* 1243,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^79 + x^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1426,
    [ [* 373,
        a^15
    *], [* 1243,
        a^22
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1426,
    [ [* 373, -1 *], [* 1243,
        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:=
[* 1426,
    [ [* 373, 1 *], [* 1243,
        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:=
[* 1426,
    [ [* 373,
        a^10
    *], [* 1243,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1426,
    [ [* 373, 1 *], [* 1243,
        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:=
[* 1426,
    [ [* 373,
        a^6
    *], [* 1243,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1426,
    [ [* 373,
        a^5
    *], [* 1243,
        a^22
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1426,
    [ [* 373, -1 *], [* 1243,
        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:=
[* 1426,
    [ [* 373,
        a^3
    *], [* 1243,
        a^11 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1426,
    [ [* 373, -1 *], [* 1243,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1426,
    [ [* 373, 1 *], [* 1243, -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:=
[* 1426,
    [ [* 373,
        a^2
    *], [* 1243, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^660 + x^659 - x^637 - x^636 - x^629 - x^628 + x^614 + x^613 + x^606 + x^605 + x^598 + x^597 - x^591 - x^590 - x^583 - x^582 - x^575 - x^574 + x^568 - 
    x^566 + x^560 + x^559 + x^552 + x^551 - x^545 + x^543 - x^537 + x^535 - x^529 - x^528 + x^522 - x^520 + x^514 - x^512 + x^506 - x^504 - x^499 + x^497 - 
    x^491 + x^489 - x^483 + x^481 + x^476 + x^473 + x^468 - x^466 + x^460 - x^458 - x^453 - x^450 - x^445 - x^442 - x^437 + x^435 + x^430 + x^427 + x^422 + 
    x^419 + x^414 + x^411 - x^407 - x^404 - x^399 - x^396 - x^391 - x^388 + x^384 - x^380 + x^376 + x^373 + x^368 + x^365 - x^361 + x^357 - x^353 + x^349 - 
    x^345 - x^342 + x^338 - x^334 + x^330 - x^326 + x^322 - x^318 - x^315 + x^311 - x^307 + x^303 - x^299 + x^295 + x^292 + x^287 + x^284 - x^280 + x^276 - 
    x^272 - x^269 - x^264 - x^261 - x^256 - x^253 + x^249 + x^246 + x^241 + x^238 + x^233 + x^230 + x^225 - x^223 - x^218 - x^215 - x^210 - x^207 - x^202 + 
    x^200 - x^194 + x^192 + x^187 + x^184 + x^179 - x^177 + x^171 - x^169 + x^163 - x^161 - x^156 + x^154 - x^148 + x^146 - x^140 + x^138 - x^132 - x^131 + 
    x^125 - x^123 + x^117 - x^115 + x^109 + x^108 + x^101 + x^100 - x^94 + x^92 - x^86 - x^85 - x^78 - x^77 - x^70 - x^69 + x^63 + x^62 + x^55 + x^54 + x^47
    + x^46 - x^32 - x^31 - x^24 - x^23 + x + 1
);
eps_on_gens:=
[* 1427,
    [ [* 2,
        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:=
[* 1427,
    [ [* 2,
        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:=
[* 1427,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
7
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1427,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1428,
    [ [* 409, 1 *], [* 1261, 1 *], [* 715, -1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1428,
    [ [* 409, 1 *], [* 1261, 1 *], [* 715, 1 *], [* 953, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409,
        a
    *], [* 1261, 1 *], [* 715, 1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409,
        a
    *], [* 1261, 1 *], [* 715, -1 *], [* 953, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409,
        a - 1
    *], [* 1261, 1 *], [* 715, -1 *], [* 953, 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:=
[* 1428,
    [ [* 409,
        a - 1
    *], [* 1261, 1 *], [* 715, 1 *], [* 953, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1428,
    [ [* 409, -1 *], [* 1261, 1 *], [* 715, 1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1428,
    [ [* 409, -1 *], [* 1261, 1 *], [* 715, -1 *], [* 953, -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:=
[* 1428,
    [ [* 409, 1 *], [* 1261,
        a
    *], [* 715, 1 *], [* 953, 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:=
[* 1428,
    [ [* 409, 1 *], [* 1261,
        a
    *], [* 715, -1 *], [* 953, -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:=
[* 1428,
    [ [* 409,
        a^8
    *], [* 1261,
        a^3
    *], [* 715, -1 *], [* 953, 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:=
[* 1428,
    [ [* 409,
        a^8
    *], [* 1261,
        a^3
    *], [* 715, 1 *], [* 953, -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:=
[* 1428,
    [ [* 409,
        a^8 - 1
    *], [* 1261,
        a^3
    *], [* 715, 1 *], [* 953, 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:=
[* 1428,
    [ [* 409,
        a^8 - 1
    *], [* 1261,
        a^3
    *], [* 715, -1 *], [* 953, -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:=
[* 1428,
    [ [* 409, -1 *], [* 1261,
        a
    *], [* 715, -1 *], [* 953, 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:=
[* 1428,
    [ [* 409, -1 *], [* 1261,
        a
    *], [* 715, 1 *], [* 953, -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:=
[* 1428,
    [ [* 409, 1 *], [* 1261,
        a
    *], [* 715, -1 *], [* 953, 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:=
[* 1428,
    [ [* 409, 1 *], [* 1261,
        a
    *], [* 715, 1 *], [* 953, -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:=
[* 1428,
    [ [* 409,
        a^4
    *], [* 1261,
        a^3
    *], [* 715, 1 *], [* 953, 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:=
[* 1428,
    [ [* 409,
        a^4
    *], [* 1261,
        a^3
    *], [* 715, -1 *], [* 953, -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:=
[* 1428,
    [ [* 409,
        a^4 - 1
    *], [* 1261,
        a^3
    *], [* 715, -1 *], [* 953, 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:=
[* 1428,
    [ [* 409,
        a^4 - 1
    *], [* 1261,
        a^3
    *], [* 715, 1 *], [* 953, -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:=
[* 1428,
    [ [* 409, -1 *], [* 1261,
        a
    *], [* 715, 1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 12*x^4 + 4
);
eps_on_gens:=
[* 1428,
    [ [* 409, -1 *], [* 1261,
        1/8*(-a^6 + a^4 - 10*a^2 + 6)
    *], [* 715, -1 *], [* 953, -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:=
[* 1428,
    [ [* 409, 1 *], [* 1261,
        a
    *], [* 715, -1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409, 1 *], [* 1261,
        a
    *], [* 715, 1 *], [* 953, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409,
        a^2
    *], [* 1261,
        a^3
    *], [* 715, 1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409,
        a^2
    *], [* 1261,
        a^3
    *], [* 715, -1 *], [* 953, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409,
        a^2 - 1
    *], [* 1261,
        a^3
    *], [* 715, -1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409,
        a^2 - 1
    *], [* 1261,
        a^3
    *], [* 715, 1 *], [* 953, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409, -1 *], [* 1261,
        a
    *], [* 715, 1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 6*x^2 + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409, -1 *], [* 1261,
        1/2*(-a^3 - 5*a)
    *], [* 715, -1 *], [* 953, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1428,
    [ [* 409, 1 *], [* 1261, -1 *], [* 715, -1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1428,
    [ [* 409, 1 *], [* 1261, -1 *], [* 715, 1 *], [* 953, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409,
        a
    *], [* 1261, -1 *], [* 715, 1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 - 3*x^2 + 4*x + 13
);
eps_on_gens:=
[* 1428,
    [ [* 409,
        1/15*(2*a^3 - 3*a^2 + 8)
    *], [* 1261, -1 *], [* 715, -1 *], [* 953, -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:=
[* 1428,
    [ [* 409,
        a - 1
    *], [* 1261, -1 *], [* 715, -1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1428,
    [ [* 409,
        a - 1
    *], [* 1261, -1 *], [* 715, 1 *], [* 953, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
24
;
C:=Rationals();
eps_on_gens:=
[* 1428,
    [ [* 409, -1 *], [* 1261, -1 *], [* 715, 1 *], [* 953, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
28
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1428,
    [ [* 409, -1 *], [* 1261, -1 *], [* 715, -1 *], [* 953, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^384 - x^382 + x^380 + x^370 - x^368 + x^366 + x^350 - x^348 + x^346 - x^342 + x^340 - x^338 + x^336 - x^334 + x^332 - x^328 + x^326 - x^324 - x^308 + 
    x^306 - x^304 + x^300 - x^298 + x^296 - x^294 + x^292 - x^290 + x^286 - x^284 + x^280 - x^278 - x^268 + 2*x^266 - 2*x^264 + x^262 - x^258 + x^256 - 
    x^254 + x^252 - x^250 + x^246 - 2*x^244 + x^242 - x^238 + x^236 - x^234 + x^232 - x^230 + x^226 - 2*x^224 + 2*x^222 - x^220 + x^216 - x^214 + x^212 - 
    x^210 + x^208 - x^204 + 2*x^202 - x^200 + x^196 - x^194 + x^192 - x^190 + x^188 - x^184 + 2*x^182 - x^180 + x^176 - x^174 + x^172 - x^170 + x^168 - 
    x^164 + 2*x^162 - 2*x^160 + x^158 - x^154 + x^152 - x^150 + x^148 - x^146 + x^142 - 2*x^140 + x^138 - x^134 + x^132 - x^130 + x^128 - x^126 + x^122 - 
    2*x^120 + 2*x^118 - x^116 - x^106 + x^104 - x^100 + x^98 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^80 + x^78 - x^76 - x^60 + x^58 - x^56 + x^52 - 
    x^50 + x^48 - x^46 + x^44 - x^42 + x^38 - x^36 + x^34 + x^18 - x^16 + x^14 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1429,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^192 + x^190 - x^178 - x^176 + x^164 + x^162 - x^158 - x^156 - x^150 - x^148 + x^144 + x^142 + x^136 + x^134 - x^130 - x^128 + x^124 - x^120 + x^116 + 
    x^114 - x^110 + x^106 - x^102 - x^100 + x^96 - x^92 - x^90 + x^86 - x^82 + x^78 + x^76 - x^72 + x^68 - x^64 - x^62 + x^58 + x^56 + x^50 + x^48 - x^44 - 
    x^42 - x^36 - x^34 + x^30 + x^28 - x^16 - x^14 + x^2 + 1
);
eps_on_gens:=
[* 1429,
    [ [* 6,
        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:=
[* 1429,
    [ [* 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^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1429,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1429,
    [ [* 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^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1429,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1429,
    [ [* 6,
        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:=
[* 1429,
    [ [* 6,
        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:=
[* 1430,
    [ [* 651, 1 *], [* 287,
        a
    *], [* 1211, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651,
        a
    *], [* 287, 1 *], [* 1211, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651,
        a
    *], [* 287, -1 *], [* 1211, 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:=
[* 1430,
    [ [* 651,
        a^4
    *], [* 287,
        a^5
    *], [* 1211, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1430,
    [ [* 651, -1 *], [* 287, 1 *], [* 1211, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1430,
    [ [* 651, -1 *], [* 287, -1 *], [* 1211, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651, 1 *], [* 287, 1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651, 1 *], [* 287, -1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^6
    *], [* 287,
        a^15
    *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^6
    *], [* 287,
        -a^15
    *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^12
    *], [* 287, 1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^12
    *], [* 287, -1 *], [* 1211,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651, -1 *], [* 287,
        a^3
    *], [* 1211,
        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:=
[* 1430,
    [ [* 651, -1 *], [* 287,
        -a^3
    *], [* 1211,
        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:=
[* 1430,
    [ [* 651, 1 *], [* 287,
        a^3
    *], [* 1211,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651,
        a^3
    *], [* 287, 1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^3
    *], [* 287, -1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^12
    *], [* 287,
        a^15
    *], [* 1211,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651, -1 *], [* 287, 1 *], [* 1211,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651, -1 *], [* 287, -1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651, 1 *], [* 287, 1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651, 1 *], [* 287, -1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^2
    *], [* 287,
        a^5
    *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^2
    *], [* 287,
        -a^5
    *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^4
    *], [* 287, 1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^4
    *], [* 287, -1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651, -1 *], [* 287,
        a
    *], [* 1211,
        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:=
[* 1430,
    [ [* 651, -1 *], [* 287,
        -a
    *], [* 1211,
        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:=
[* 1430,
    [ [* 651, 1 *], [* 287,
        a^3
    *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^3
    *], [* 287, 1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651,
        a^3
    *], [* 287, -1 *], [* 1211,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651,
        a^12
    *], [* 287,
        a^15
    *], [* 1211,
        a^10 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651, -1 *], [* 287, 1 *], [* 1211,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651, -1 *], [* 287, -1 *], [* 1211,
        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:=
[* 1430,
    [ [* 651, 1 *], [* 287,
        a
    *], [* 1211, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651,
        a
    *], [* 287, 1 *], [* 1211, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1430,
    [ [* 651,
        a
    *], [* 287, -1 *], [* 1211, -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:=
[* 1430,
    [ [* 651,
        a^4
    *], [* 287,
        a^5
    *], [* 1211, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1430,
    [ [* 651, -1 *], [* 287, 1 *], [* 1211, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1430,
    [ [* 651, -1 *], [* 287, -1 *], [* 1211, -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:=
[* 1431,
    [ [* 1379,
        a
    *], [* 55, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1431,
    [ [* 1379,
        a
    *], [* 55, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1431,
    [ [* 1379, -1 *], [* 55, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1431,
    [ [* 1379, 1 *], [* 55,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 + x^138 - x^126 - x^120 + x^108 + x^102 - x^90 - x^84 + x^72 - x^60 - x^54 + x^42 + x^36 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1431,
    [ [* 1379,
        a^52
    *], [* 55,
        a^9
    *] ]
*]
;
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:=
[* 1431,
    [ [* 1379,
        a^26 - 1
    *], [* 55,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^69 - x^63 - x^60 + x^54 + x^51 - x^45 - x^42 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1431,
    [ [* 1379,
        a^13
    *], [* 55,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^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:=
[* 1431,
    [ [* 1379,
        a^13
    *], [* 55,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1431,
    [ [* 1379, -1 *], [* 55,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 + x^69 - x^63 - x^60 + x^54 + x^51 - x^45 - x^42 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1431,
    [ [* 1379,
        a^13
    *], [* 55,
        a^18
    *] ]
*]
;
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:=
[* 1431,
    [ [* 1379,
        a^13
    *], [* 55,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1431,
    [ [* 1379, -1 *], [* 55,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1431,
    [ [* 1379, 1 *], [* 55,
        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:=
[* 1431,
    [ [* 1379,
        a^4
    *], [* 55,
        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:=
[* 1431,
    [ [* 1379,
        a^2 - 1
    *], [* 55,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1431,
    [ [* 1379,
        a
    *], [* 55, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1431,
    [ [* 1379,
        a
    *], [* 55, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
10
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1431,
    [ [* 1379, -1 *], [* 55, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1432,
    [ [* 897, 1 *], [* 717, 1 *], [* 359, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1432,
    [ [* 897, 1 *], [* 717, -1 *], [* 359, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + 
    x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 
    + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1432,
    [ [* 897,
        a
    *], [* 717, 1 *], [* 359, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + 
    x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 
    + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1432,
    [ [* 897,
        a
    *], [* 717, -1 *], [* 359, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + 
    x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 
    + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1432,
    [ [* 897,
        a^2
    *], [* 717, 1 *], [* 359, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + 
    x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 
    + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - 
    x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1432,
    [ [* 897,
        a^2
    *], [* 717, -1 *], [* 359, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 1432,
    [ [* 897, -1 *], [* 717, 1 *], [* 359, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1432,
    [ [* 897, -1 *], [* 717, -1 *], [* 359, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^712 - x^708 + x^704 - x^700 + x^696 - x^692 + x^688 - x^684 + x^680 - x^676 + x^672 - x^668 + x^664 - x^660 + x^656 - x^652 + x^648 - x^644 + x^640 - 
    x^636 + x^632 - x^628 + x^624 - x^620 + x^616 - x^612 + x^608 - x^604 + x^600 - x^596 + x^592 - x^588 + x^584 - x^580 + x^576 - x^572 + x^568 - x^564 + 
    x^560 - x^556 + x^552 - x^548 + x^544 - x^540 + x^536 - x^532 + x^528 - x^524 + x^520 - x^516 + x^512 - x^508 + x^504 - x^500 + x^496 - x^492 + x^488 - 
    x^484 + x^480 - x^476 + x^472 - x^468 + x^464 - x^460 + x^456 - x^452 + x^448 - x^444 + x^440 - x^436 + x^432 - x^428 + x^424 - x^420 + x^416 - x^412 + 
    x^408 - x^404 + x^400 - x^396 + x^392 - x^388 + x^384 - x^380 + x^376 - x^372 + x^368 - x^364 + x^360 - x^356 + x^352 - x^348 + x^344 - x^340 + x^336 - 
    x^332 + x^328 - x^324 + x^320 - x^316 + x^312 - x^308 + x^304 - x^300 + x^296 - x^292 + x^288 - x^284 + x^280 - x^276 + x^272 - x^268 + x^264 - x^260 + 
    x^256 - x^252 + x^248 - x^244 + x^240 - x^236 + x^232 - x^228 + x^224 - x^220 + x^216 - x^212 + x^208 - x^204 + x^200 - x^196 + x^192 - x^188 + x^184 - 
    x^180 + x^176 - x^172 + x^168 - x^164 + x^160 - x^156 + x^152 - x^148 + x^144 - x^140 + x^136 - x^132 + x^128 - x^124 + x^120 - x^116 + x^112 - x^108 + 
    x^104 - x^100 + x^96 - x^92 + x^88 - x^84 + x^80 - x^76 + x^72 - x^68 + x^64 - x^60 + x^56 - x^52 + x^48 - x^44 + x^40 - x^36 + x^32 - x^28 + x^24 - 
    x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1433,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1433,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1434,
    [ [* 7, 1 *], [* 479, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^95 - x^89 - x^88 + x^82 + x^81 - x^79 - x^78 - x^75 - x^74 + x^72 + x^71 + x^68 + x^67 - x^65 - x^64 + x^62 - x^60 + x^58 + x^57 - x^55 + x^53 - 
    x^51 - x^50 + x^48 - x^46 - x^45 + x^43 - x^41 + x^39 + x^38 - x^36 + x^34 - x^32 - x^31 + x^29 + x^28 + x^25 + x^24 - x^22 - x^21 - x^18 - x^17 + x^15 
    + x^14 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 1434,
    [ [* 7,
        a
    *], [* 479, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^95 - x^89 - x^88 + x^82 + x^81 - x^79 - x^78 - x^75 - x^74 + x^72 + x^71 + x^68 + x^67 - x^65 - x^64 + x^62 - x^60 + x^58 + x^57 - x^55 + x^53 - 
    x^51 - x^50 + x^48 - x^46 - x^45 + x^43 - x^41 + x^39 + x^38 - x^36 + x^34 - x^32 - x^31 + x^29 + x^28 + x^25 + x^24 - x^22 - x^21 - x^18 - x^17 + x^15 
    + x^14 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 1434,
    [ [* 7,
        a^2
    *], [* 479, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1434,
    [ [* 7,
        a
    *], [* 479, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1434,
    [ [* 7,
        a^2
    *], [* 479, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1434,
    [ [* 7,
        a
    *], [* 479, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1434,
    [ [* 7,
        a^2
    *], [* 479, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
28
;
C:=Rationals();
eps_on_gens:=
[* 1434,
    [ [* 7, -1 *], [* 479, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206, 1 *], [* 211, 1 *], [* 862,
        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:=
[* 1435,
    [ [* 206,
        a
    *], [* 211, 1 *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a
    *], [* 211, 1 *], [* 862, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^2 - 1
    *], [* 211, 1 *], [* 862,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1435,
    [ [* 206, -1 *], [* 211, 1 *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1435,
    [ [* 206, -1 *], [* 211, 1 *], [* 862, -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:=
[* 1435,
    [ [* 206, 1 *], [* 211,
        a
    *], [* 862, 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:=
[* 1435,
    [ [* 206, 1 *], [* 211,
        a
    *], [* 862, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^20
    *], [* 211,
        a^3
    *], [* 862,
        a^30
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^20
    *], [* 211,
        a^3
    *], [* 862,
        -a^30
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^20 - 1
    *], [* 211,
        a^3
    *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^20 - 1
    *], [* 211,
        a^3
    *], [* 862, -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:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a
    *], [* 862,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a
    *], [* 862,
        -a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206, 1 *], [* 211,
        a
    *], [* 862,
        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:=
[* 1435,
    [ [* 206, 1 *], [* 211,
        a
    *], [* 862,
        -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:=
[* 1435,
    [ [* 206,
        a^10
    *], [* 211,
        a^3
    *], [* 862, 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:=
[* 1435,
    [ [* 206,
        a^10
    *], [* 211,
        a^3
    *], [* 862, -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:=
[* 1435,
    [ [* 206,
        a^10 - 1
    *], [* 211,
        a^3
    *], [* 862,
        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:=
[* 1435,
    [ [* 206,
        a^10 - 1
    *], [* 211,
        a^3
    *], [* 862,
        -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:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a
    *], [* 862, 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:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a
    *], [* 862, -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:=
[* 1435,
    [ [* 206, 1 *], [* 211,
        a^2
    *], [* 862,
        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:=
[* 1435,
    [ [* 206,
        a^5
    *], [* 211,
        a^3
    *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^5
    *], [* 211,
        a^3
    *], [* 862, -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:=
[* 1435,
    [ [* 206,
        a^10 - 1
    *], [* 211,
        a^6
    *], [* 862,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a
    *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a
    *], [* 862, -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:=
[* 1435,
    [ [* 206, 1 *], [* 211,
        a
    *], [* 862, 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:=
[* 1435,
    [ [* 206, 1 *], [* 211,
        a
    *], [* 862, -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:=
[* 1435,
    [ [* 206,
        a^4
    *], [* 211,
        a^3
    *], [* 862,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^4
    *], [* 211,
        a^3
    *], [* 862,
        -a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^4 - 1
    *], [* 211,
        a^3
    *], [* 862, 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:=
[* 1435,
    [ [* 206,
        a^4 - 1
    *], [* 211,
        a^3
    *], [* 862, -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:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a
    *], [* 862,
        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:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a
    *], [* 862,
        -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:=
[* 1435,
    [ [* 206, 1 *], [* 211,
        a^4
    *], [* 862,
        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:=
[* 1435,
    [ [* 206,
        a^5
    *], [* 211,
        a^6
    *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^5
    *], [* 211,
        a^6
    *], [* 862, -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:=
[* 1435,
    [ [* 206,
        a^10 - 1
    *], [* 211,
        a^12
    *], [* 862,
        a^15
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a^2
    *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a^2
    *], [* 862, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206, 1 *], [* 211,
        a
    *], [* 862,
        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:=
[* 1435,
    [ [* 206, 1 *], [* 211,
        a
    *], [* 862,
        -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:=
[* 1435,
    [ [* 206,
        a^2
    *], [* 211,
        a^3
    *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^2
    *], [* 211,
        a^3
    *], [* 862, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^2 - 1
    *], [* 211,
        a^3
    *], [* 862,
        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:=
[* 1435,
    [ [* 206,
        a^2 - 1
    *], [* 211,
        a^3
    *], [* 862,
        -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:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a
    *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206, -1 *], [* 211,
        a
    *], [* 862, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206, 1 *], [* 211, -1 *], [* 862,
        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:=
[* 1435,
    [ [* 206,
        a
    *], [* 211, -1 *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a
    *], [* 211, -1 *], [* 862, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1435,
    [ [* 206,
        a^2 - 1
    *], [* 211, -1 *], [* 862,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1435,
    [ [* 206, -1 *], [* 211, -1 *], [* 862, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1435,
    [ [* 206, -1 *], [* 211, -1 *], [* 862, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1436,
    [ [* 725, 1 *], [* 719, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^178 - x^177 + x^176 - x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - 
    x^159 + x^158 - x^157 + x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + 
    x^140 - x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - 
    x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + 
    x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - 
    x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 
    - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + 
    x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 
    + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1436,
    [ [* 725,
        a
    *], [* 719, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^178 - x^177 + x^176 - x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - 
    x^159 + x^158 - x^157 + x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + 
    x^140 - x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - 
    x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + 
    x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - 
    x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 
    - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + 
    x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 
    + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1436,
    [ [* 725,
        a^2
    *], [* 719, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
27
;
C:=Rationals();
eps_on_gens:=
[* 1436,
    [ [* 725, -1 *], [* 719, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1437,
    [ [* 13, 1 *], [* 959, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^238 - x^237 + x^236 - x^235 + x^234 - x^233 + x^232 - x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - 
    x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - x^213 + x^212 - x^211 + x^210 - x^209 + x^208 - x^207 + x^206 - x^205 + x^204 - x^203 + x^202 - x^201 + 
    x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + x^194 - x^193 + x^192 - x^191 + x^190 - x^189 + x^188 - x^187 + x^186 - x^185 + x^184 - x^183 + x^182 - 
    x^181 + x^180 - x^179 + x^178 - x^177 + x^176 - x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + 
    x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - 
    x^143 + x^142 - x^141 + x^140 - x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + 
    x^124 - x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - 
    x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 +
    x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 
    + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - 
    x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 
    - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1437,
    [ [* 13,
        a
    *], [* 959, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^238 - x^237 + x^236 - x^235 + x^234 - x^233 + x^232 - x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - 
    x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - x^213 + x^212 - x^211 + x^210 - x^209 + x^208 - x^207 + x^206 - x^205 + x^204 - x^203 + x^202 - x^201 + 
    x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + x^194 - x^193 + x^192 - x^191 + x^190 - x^189 + x^188 - x^187 + x^186 - x^185 + x^184 - x^183 + x^182 - 
    x^181 + x^180 - x^179 + x^178 - x^177 + x^176 - x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + 
    x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - 
    x^143 + x^142 - x^141 + x^140 - x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + 
    x^124 - x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - 
    x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 +
    x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 
    + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - 
    x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 
    - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1437,
    [ [* 13,
        a^2
    *], [* 959, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
24
;
C:=Rationals();
eps_on_gens:=
[* 1437,
    [ [* 13, -1 *], [* 959, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^358 - x^357 + x^356 - x^355 + x^354 - x^353 + x^352 - x^351 + x^350 - x^349 + x^348 - x^347 + x^346 - x^345 + x^344 - x^343 + x^342 - x^341 + x^340 - 
    x^339 + x^338 - x^337 + x^336 - x^335 + x^334 - x^333 + x^332 - x^331 + x^330 - x^329 + x^328 - x^327 + x^326 - x^325 + x^324 - x^323 + x^322 - x^321 + 
    x^320 - x^319 + x^318 - x^317 + x^316 - x^315 + x^314 - x^313 + x^312 - x^311 + x^310 - x^309 + x^308 - x^307 + x^306 - x^305 + x^304 - x^303 + x^302 - 
    x^301 + x^300 - x^299 + x^298 - x^297 + x^296 - x^295 + x^294 - x^293 + x^292 - x^291 + x^290 - x^289 + x^288 - x^287 + x^286 - x^285 + x^284 - x^283 + 
    x^282 - x^281 + x^280 - x^279 + x^278 - x^277 + x^276 - x^275 + x^274 - x^273 + x^272 - x^271 + x^270 - x^269 + x^268 - x^267 + x^266 - x^265 + x^264 - 
    x^263 + x^262 - x^261 + x^260 - x^259 + x^258 - x^257 + x^256 - x^255 + x^254 - x^253 + x^252 - x^251 + x^250 - x^249 + x^248 - x^247 + x^246 - x^245 + 
    x^244 - x^243 + x^242 - x^241 + x^240 - x^239 + x^238 - x^237 + x^236 - x^235 + x^234 - x^233 + x^232 - x^231 + x^230 - x^229 + x^228 - x^227 + x^226 - 
    x^225 + x^224 - x^223 + x^222 - x^221 + x^220 - x^219 + x^218 - x^217 + x^216 - x^215 + x^214 - x^213 + x^212 - x^211 + x^210 - x^209 + x^208 - x^207 + 
    x^206 - x^205 + x^204 - x^203 + x^202 - x^201 + x^200 - x^199 + x^198 - x^197 + x^196 - x^195 + x^194 - x^193 + x^192 - x^191 + x^190 - x^189 + x^188 - 
    x^187 + x^186 - x^185 + x^184 - x^183 + x^182 - x^181 + x^180 - x^179 + x^178 - x^177 + x^176 - x^175 + x^174 - x^173 + x^172 - x^171 + x^170 - x^169 + 
    x^168 - x^167 + x^166 - x^165 + x^164 - x^163 + x^162 - x^161 + x^160 - x^159 + x^158 - x^157 + x^156 - x^155 + x^154 - x^153 + x^152 - x^151 + x^150 - 
    x^149 + x^148 - x^147 + x^146 - x^145 + x^144 - x^143 + x^142 - x^141 + x^140 - x^139 + x^138 - x^137 + x^136 - x^135 + x^134 - x^133 + x^132 - x^131 + 
    x^130 - x^129 + x^128 - x^127 + x^126 - x^125 + x^124 - x^123 + x^122 - x^121 + x^120 - x^119 + x^118 - x^117 + x^116 - x^115 + x^114 - x^113 + x^112 - 
    x^111 + x^110 - x^109 + x^108 - x^107 + x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - 
    x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 
    - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + 
    x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 
    + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + 
    x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1438,
    [ [* 11,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
30
;
C:=Rationals();
eps_on_gens:=
[* 1438,
    [ [* 11, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^718 - x^717 + x^716 - x^715 + x^714 - x^713 + x^712 - x^711 + x^710 - x^709 + x^708 - x^707 + x^706 - x^705 + x^704 - x^703 + x^702 - x^701 + x^700 - 
    x^699 + x^698 - x^697 + x^696 - x^695 + x^694 - x^693 + x^692 - x^691 + x^690 - x^689 + x^688 - x^687 + x^686 - x^685 + x^684 - x^683 + 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:=
[* 1439,
    [ [* 7,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
19
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1439,
    [ [* 7, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1440,
    [ [* 901, 1 *], [* 641, 1 *], [* 577, 1 *], [* 991, -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:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, 1 *], [* 577, 1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, 1 *], [* 577, 1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641, 1 *], [* 577, 1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, 1 *], [* 641,
        a
    *], [* 577, 1 *], [* 991, 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:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^4
    *], [* 577, 1 *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^2
    *], [* 577, 1 *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641,
        a
    *], [* 577, 1 *], [* 991, 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:=
[* 1440,
    [ [* 901, 1 *], [* 641,
        a - 1
    *], [* 577, 1 *], [* 991, -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:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^4 - 1
    *], [* 577, 1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^2 - 1
    *], [* 577, 1 *], [* 991, -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:=
[* 1440,
    [ [* 901, -1 *], [* 641,
        a - 1
    *], [* 577, 1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1440,
    [ [* 901, 1 *], [* 641, -1 *], [* 577, 1 *], [* 991, 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:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, -1 *], [* 577, 1 *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, -1 *], [* 577, 1 *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641, -1 *], [* 577, 1 *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
3
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, 1 *], [* 641, 1 *], [* 577,
        a
    *], [* 991, 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:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, 1 *], [* 577,
        a^2
    *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, 1 *], [* 577,
        a
    *], [* 991, 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:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641, 1 *], [* 577,
        a^2
    *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 - 2*x^2 + 9
);
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641, 1 *], [* 577,
        1/6*(a^3 + a)
    *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        -a
    *], [* 641, 1 *], [* 577,
        a
    *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, 1 *], [* 641,
        a^2
    *], [* 577,
        a^3
    *], [* 991, -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:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^4
    *], [* 577,
        a^6
    *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^2
    *], [* 577,
        a^3
    *], [* 991, -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:=
[* 1440,
    [ [* 901,
        a^5 - a
    *], [* 641,
        a^4
    *], [* 577,
        a^6
    *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641,
        a^2
    *], [* 577,
        a^3
    *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        -a^3
    *], [* 641,
        a^2
    *], [* 577,
        a^3
    *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, 1 *], [* 641,
        a^2 - 1
    *], [* 577,
        a^3
    *], [* 991, 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:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^4 - 1
    *], [* 577,
        a^6
    *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^2 - 1
    *], [* 577,
        a^3
    *], [* 991, 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:=
[* 1440,
    [ [* 901,
        a^5 - a
    *], [* 641,
        a^4 - 1
    *], [* 577,
        a^6
    *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641,
        a^2 - 1
    *], [* 577,
        a^3
    *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        -a^3
    *], [* 641,
        a^2 - 1
    *], [* 577,
        a^3
    *], [* 991, 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:=
[* 1440,
    [ [* 901, 1 *], [* 641, -1 *], [* 577,
        a
    *], [* 991, -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:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, -1 *], [* 577,
        a^2
    *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, -1 *], [* 577,
        a
    *], [* 991, -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:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641, -1 *], [* 577,
        a^2
    *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641, -1 *], [* 577,
        a
    *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        -a
    *], [* 641, -1 *], [* 577,
        a
    *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1440,
    [ [* 901, 1 *], [* 641, 1 *], [* 577, -1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 12*x^4 + 4
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        1/8*(-a^6 + a^4 - 10*a^2 + 6)
    *], [* 641, 1 *], [* 577, -1 *], [* 991, -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:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, 1 *], [* 577, -1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641, 1 *], [* 577, -1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 4*x^6 + 15*x^4 + 4*x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, 1 *], [* 641,
        1/15*(4*a^6 + 15*a^4 + 60*a^2 + 16)
    *], [* 577, -1 *], [* 991, 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:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^4
    *], [* 577, -1 *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^2
    *], [* 577, -1 *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641,
        a
    *], [* 577, -1 *], [* 991, 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:=
[* 1440,
    [ [* 901, 1 *], [* 641,
        a - 1
    *], [* 577, -1 *], [* 991, -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:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^4 - 1
    *], [* 577, -1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901,
        a^3
    *], [* 641,
        a^2 - 1
    *], [* 577, -1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641,
        a - 1
    *], [* 577, -1 *], [* 991, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1440,
    [ [* 901, 1 *], [* 641, -1 *], [* 577, -1 *], [* 991, 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:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, -1 *], [* 577, -1 *], [* 991, 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:=
[* 1440,
    [ [* 901,
        a
    *], [* 641, -1 *], [* 577, -1 *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1440,
    [ [* 901, -1 *], [* 641, -1 *], [* 577, -1 *], [* 991, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1441,
    [ [* 133, 1 *], [* 1311,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1441,
    [ [* 133, 1 *], [* 1311, -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:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311, 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:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311,
        a^26
    *] ]
*]
;
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:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311,
        a^39 - a^26 + a^13 - 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:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311,
        -a^13
    *] ]
*]
;
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:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311,
        -a^39
    *] ]
*]
;
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:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311,
        a^13
    *] ]
*]
;
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:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311,
        a^39
    *] ]
*]
;
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:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311, -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:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311,
        -a^26
    *] ]
*]
;
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:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311,
        -a^39 + a^26 - a^13 + 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:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311, 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:=
[* 1441,
    [ [* 133,
        a^5
    *], [* 1311,
        a^26
    *] ]
*]
;
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:=
[* 1441,
    [ [* 133,
        a^10
    *], [* 1311,
        a^13
    *] ]
*]
;
Append(~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:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311,
        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:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311,
        a^3 - a^2 + a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311,
        -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:=
[* 1441,
    [ [* 133,
        a
    *], [* 1311,
        -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:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311,
        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:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311,
        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:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311,
        -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:=
[* 1441,
    [ [* 133,
        a^2
    *], [* 1311,
        -a^3 + a^2 - a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1441,
    [ [* 133, -1 *], [* 1311, 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 + 20*x^13 + 275*x^12 + 30*x^11 + 374*x^10 - 175*x^9 + 510*x^8 - 475*x^7 + 740*x^6 - 752*x^5 + 800*x^4 - 390*x^3 +
    100*x^2 - 10*x + 1
);
eps_on_gens:=
[* 1441,
    [ [* 133, -1 *], [* 1311,
        1/80569946747525*(27636419958*a^19 + 54237125849*a^18 + 901215109182*a^17 + 585050987748*a^16 + 4427939210399*a^15 + 2704693640457*a^14 + 
            17732931730116*a^13 + 12366426682893*a^12 + 67768245102327*a^11 + 54691685769506*a^10 + 232676621676591*a^9 + 125976657227643*a^8 + 
            316276495766179*a^7 + 712513963756*a^6 + 353249057420733*a^5 - 187475397314524*a^4 + 445766572758883*a^3 - 269194148801986*a^2 + 
            421382404363521*a - 84251733516357)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211, 1 *], [* 619,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1442,
    [ [* 211, 1 *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a
    *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a
    *], [* 619,
        a^17 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a
    *], [* 619,
        -a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a^2
    *], [* 619,
        a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a^2
    *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a^2
    *], [* 619,
        -a^17 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a
    *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a^3
    *], [* 619,
        a^17 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^31 - x^29 - x^28 + x^26 + x^25 - x^23 - x^22 + x^20 + x^19 - x^17 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a^6
    *], [* 619,
        a^17
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a^2
    *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a
    *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a
    *], [* 619,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a
    *], [* 619,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a - 1
    *], [* 619,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a - 1
    *], [* 619, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211,
        a - 1
    *], [* 619,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1442,
    [ [* 211, -1 *], [* 619, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1442,
    [ [* 211, -1 *], [* 619,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1443,
    [ [* 742, 1 *], [* 223, 1 *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742, 1 *], [* 223,
        a
    *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742, 1 *], [* 223,
        a
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742, 1 *], [* 223,
        a
    *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742, 1 *], [* 223,
        a - 1
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1443,
    [ [* 742, 1 *], [* 223, -1 *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223, 1 *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^3
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^6
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^9
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^6 - 1
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^9 - a^3
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223, -1 *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^3
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^6
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^9
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^6 + 1
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^9 + a^3
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223, 1 *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223,
        a^3
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^3
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223,
        a^9
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^3 - 1
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223,
        a^9 - a^3
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223, -1 *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^3
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^3 + 1
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223, 1 *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^2
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^3
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^2 - 1
    *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a^3 - a
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223, -1 *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^2
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^3
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^2 + 1
    *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a^3 + a
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223, 1 *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a^4
    *], [* 223,
        a^3
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223,
        a^3
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a^4
    *], [* 223,
        a^9
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223,
        a^3 - 1
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a^4
    *], [* 223,
        a^9 - a^3
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223, -1 *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223,
        -a^3
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223,
        -a^3 + 1
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223, 1 *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223,
        a
    *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223,
        a^3
    *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a - 1
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a^2
    *], [* 223,
        a^3 - a
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223, -1 *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a + 1
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223, 1 *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a^3
    *], [* 223,
        a
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a^3
    *], [* 223,
        a^2
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        a
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a^3
    *], [* 223,
        a^2 - 1
    *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a
    *], [* 223, -1 *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a^3
    *], [* 223,
        -a
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a
    *], [* 223,
        -a
    *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a - 1
    *], [* 223, 1 *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a^2 - 1
    *], [* 223,
        a
    *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a - 1
    *], [* 223,
        a
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a^2 - 1
    *], [* 223,
        a^3
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        -a^2
    *], [* 223,
        -a^2
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a^2 - 1
    *], [* 223,
        a^3 - a
    *], [* 482, 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:=
[* 1443,
    [ [* 742,
        a - 1
    *], [* 223, -1 *], [* 482, -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:=
[* 1443,
    [ [* 742,
        a^2 - 1
    *], [* 223,
        -a^2
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742,
        a - 1
    *], [* 223,
        -a + 1
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1443,
    [ [* 742, -1 *], [* 223, 1 *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742, -1 *], [* 223,
        a
    *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742, -1 *], [* 223,
        a
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742, -1 *], [* 223,
        a
    *], [* 482, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1443,
    [ [* 742, -1 *], [* 223,
        a - 1
    *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1443,
    [ [* 742, -1 *], [* 223, -1 *], [* 482, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1444,
    [ [* 1085, 1 *], [* 723, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^108 + x^105 - x^99 - x^96 + x^90 + x^87 - x^81 - x^78 + x^72 + x^69 - x^63 - x^60 + x^54 - x^48 - x^45 + x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - 
    x^9 + x^3 + 1
);
eps_on_gens:=
[* 1444,
    [ [* 1085,
        a
    *], [* 723, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^108 + x^105 - x^99 - x^96 + x^90 + x^87 - x^81 - x^78 + x^72 + x^69 - x^63 - x^60 + x^54 - x^48 - x^45 + x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - 
    x^9 + x^3 + 1
);
eps_on_gens:=
[* 1444,
    [ [* 1085,
        a^2
    *], [* 723, -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:=
[* 1444,
    [ [* 1085,
        a
    *], [* 723, 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:=
[* 1444,
    [ [* 1085,
        a^2
    *], [* 723, -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:=
[* 1444,
    [ [* 1085,
        a
    *], [* 723, 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:=
[* 1444,
    [ [* 1085,
        a^2
    *], [* 723, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - 8*x^6 + 64
);
eps_on_gens:=
[* 1444,
    [ [* 1085,
        1/32*(-a^10 + 8*a^4)
    *], [* 723, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - 4*x^9 + 17*x^6 + 4*x^3 + 1
);
eps_on_gens:=
[* 1444,
    [ [* 1085,
        1/34*(-13*a^10 + 51*a^7 - 221*a^4 - 52*a)
    *], [* 723, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^2 + 4
);
eps_on_gens:=
[* 1444,
    [ [* 1085,
        1/2*(-a^2 + 2)
    *], [* 723, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + 2*x^2 + x + 1
);
eps_on_gens:=
[* 1444,
    [ [* 1085,
        1/2*(a^3 - 2*a^2 + 2*a - 1)
    *], [* 723, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1444,
    [ [* 1085, -1 *], [* 723, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1445,
    [ [* 581, 1 *], [* 1157,
        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:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^128 - x^120 + x^112 - x^104 + x^96 - x^88 + x^80 - x^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157, -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:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157,
        a^34
    *] ]
*]
;
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:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157,
        -a^34
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157,
        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:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157,
        -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:=
[* 1445,
    [ [* 581,
        a^2
    *], [* 1157,
        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:=
[* 1445,
    [ [* 581,
        a^4
    *], [* 1157,
        a^17
    *] ]
*]
;
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:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157, 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:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157, -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:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157,
        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:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157,
        -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:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157,
        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:=
[* 1445,
    [ [* 581,
        a
    *], [* 1157,
        -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:=
[* 1445,
    [ [* 581, -1 *], [* 1157,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1446,
    [ [* 7, 1 *], [* 965, -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:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, 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:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -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:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -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:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -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:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -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:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1446,
    [ [* 7,
        a^2
    *], [* 965, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -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:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -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:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -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:=
[* 1446,
    [ [* 7,
        a^2
    *], [* 965, -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:=
[* 1446,
    [ [* 7,
        a
    *], [* 965, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1446,
    [ [* 7,
        a - 1
    *], [* 965, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1446,
    [ [* 7, -1 *], [* 965, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^480 + x^479 - x^477 - x^476 + x^474 + x^473 - x^471 - x^470 + x^468 + x^467 - x^465 - x^464 + x^462 + x^461 - x^459 - x^458 + x^456 + x^455 - x^453 - 
    x^452 + x^450 + x^449 - x^447 - x^446 + x^444 + x^443 - x^441 - x^440 + x^438 + x^437 - x^435 - x^434 + x^432 + x^431 - x^429 - x^428 + x^426 + x^425 - 
    x^423 - x^422 + x^420 + x^419 - x^417 - x^416 + x^414 + x^413 - x^411 - x^410 + x^408 + x^407 - x^405 - x^404 + x^402 + x^401 - x^399 - x^398 + x^396 + 
    x^395 - x^393 - x^392 + x^390 + x^389 - x^387 - x^386 + x^384 + x^383 - x^381 - x^380 + x^378 + x^377 - x^375 - x^374 + x^372 + x^371 - x^369 - x^368 + 
    x^366 + x^365 - x^363 - x^362 + x^360 + x^359 - x^357 - x^356 + x^354 + x^353 - x^351 - x^350 + x^348 + x^347 - x^345 - x^344 + x^342 + x^341 - x^339 - 
    x^338 + x^336 + x^335 - x^333 - x^332 + x^330 + x^329 - x^327 - x^326 + x^324 + x^323 - x^321 - x^320 + x^318 + x^317 - x^315 - x^314 + x^312 + x^311 - 
    x^309 - x^308 + x^306 + x^305 - x^303 - x^302 + x^300 + x^299 - x^297 - x^296 + x^294 + x^293 - x^291 - x^290 + x^288 + x^287 - x^285 - x^284 + x^282 + 
    x^281 - x^279 - x^278 + x^276 + x^275 - x^273 - x^272 + x^270 + x^269 - x^267 - x^266 + x^264 + x^263 - x^261 - x^260 + x^258 + x^257 - x^255 - x^254 + 
    x^252 + x^251 - x^249 - x^248 + x^246 + x^245 - x^243 - x^242 + x^240 - x^238 - x^237 + x^235 + x^234 - 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:=
[* 1447,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 - x^239 + x^238 - x^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:=
[* 1447,
    [ [* 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:=
[* 1447,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1447,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1448,
    [ [* 545, 1 *], [* 725, 1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1448,
    [ [* 545, 1 *], [* 725, -1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, 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:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, -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:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, -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:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, 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:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a^2
    *], [* 725, 1 *], [* 1087, -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:=
[* 1448,
    [ [* 545,
        a^2
    *], [* 725, -1 *], [* 1087, -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:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, 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:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, -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:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, 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:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, 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:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, -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:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, -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:=
[* 1448,
    [ [* 545,
        a^2
    *], [* 725, 1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a^2
    *], [* 725, -1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, -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:=
[* 1448,
    [ [* 545,
        a^2
    *], [* 725, 1 *], [* 1087, -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:=
[* 1448,
    [ [* 545,
        a^2
    *], [* 725, -1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, -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:=
[* 1448,
    [ [* 545,
        a^2
    *], [* 725, 1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a^2
    *], [* 725, -1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, 1 *], [* 1087, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a
    *], [* 725, -1 *], [* 1087, 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:=
[* 1448,
    [ [* 545,
        a - 1
    *], [* 725, 1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1448,
    [ [* 545,
        a - 1
    *], [* 725, -1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1448,
    [ [* 545, -1 *], [* 725, 1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1448,
    [ [* 545, -1 *], [* 725, -1 *], [* 1087, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829, 1 *], [* 1289,
        a
    *], [* 442, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1449,
    [ [* 829, 1 *], [* 1289, -1 *], [* 442, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a
    *], [* 1289, 1 *], [* 442, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a
    *], [* 1289,
        a - 1
    *], [* 442, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a
    *], [* 1289,
        -a
    *], [* 442, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a - 1
    *], [* 1289,
        a
    *], [* 442, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a - 1
    *], [* 1289, -1 *], [* 442, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a - 1
    *], [* 1289,
        -a + 1
    *], [* 442, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1449,
    [ [* 829, -1 *], [* 1289, 1 *], [* 442, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829, -1 *], [* 1289,
        a - 1
    *], [* 442, 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:=
[* 1449,
    [ [* 829, 1 *], [* 1289, 1 *], [* 442,
        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:=
[* 1449,
    [ [* 829, 1 *], [* 1289,
        a^11 - 1
    *], [* 442,
        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:=
[* 1449,
    [ [* 829,
        a^11
    *], [* 1289,
        a^11
    *], [* 442,
        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:=
[* 1449,
    [ [* 829,
        a^11
    *], [* 1289, -1 *], [* 442,
        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:=
[* 1449,
    [ [* 829,
        a^11
    *], [* 1289,
        -a^11 + 1
    *], [* 442,
        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:=
[* 1449,
    [ [* 829,
        a^11 - 1
    *], [* 1289, 1 *], [* 442,
        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:=
[* 1449,
    [ [* 829,
        a^11 - 1
    *], [* 1289,
        a^11 - 1
    *], [* 442,
        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:=
[* 1449,
    [ [* 829,
        a^11 - 1
    *], [* 1289,
        -a^11
    *], [* 442,
        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:=
[* 1449,
    [ [* 829, -1 *], [* 1289,
        a^11
    *], [* 442,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - 4*x^38 + 12*x^36 - 32*x^34 + 80*x^32 - 192*x^30 + 448*x^28 - 1024*x^26 + 2634*x^24 + 14504*x^22 + 208582*x^20 + 518520*x^18 + 687228*x^16 + 
    464708*x^14 + 276421*x^12 + 21280*x^10 + 60215*x^8 - 16220*x^6 + 2979*x^4 - 100*x^2 + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829, -1 *], [* 1289, -1 *], [* 442,
        1/1471075933960378517607224318879770008157412531*(-82662733397182151236232851167944705330045472*a^38 + 
            330064428979357903234666668146317592549448504*a^36 - 989644002715331726597315556205969937669414892*a^34 + 
            2638269638285187712806202180094228950412736090*a^32 - 6594497742394539252236375237619834530558129796*a^30 + 
            15824919422584313351064309268127411538192945027*a^28 - 36921695700574736416938723201233529753901829712*a^26 + 
            84387113132585418257983303557884332934263626971*a^24 - 217140378012618151797819537830425189588503806192*a^22 - 
            1200468773314938105880671372037084510095680584557*a^20 - 17250513373005587906311445967672715470726955539804*a^18 - 
            42985282132113844575573916534643826359972084329008*a^16 - 57120728995975250517414679404480950048373572862672*a^14 - 
            38846442065737732030346383995072450597395041704727*a^12 - 23172010588003671319983959622979696292003109036064*a^10 - 
            1968067177367567003974214365932306341751548177704*a^8 - 5017773314113040955199204704774380309639762587320*a^6 + 
            1295240100647796290230498729794232529047649788276*a^4 - 238799704983770981408726848861136788140059145076*a^2 + 
            5204025986102596984085495683808885578539828971)
    *] ]
*]
;
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:=
[* 1449,
    [ [* 829, 1 *], [* 1289,
        a^11
    *], [* 442,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829, 1 *], [* 1289, -1 *], [* 442,
        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:=
[* 1449,
    [ [* 829,
        a^11
    *], [* 1289, 1 *], [* 442,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a^11
    *], [* 1289,
        a^11 - 1
    *], [* 442,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a^11
    *], [* 1289,
        -a^11
    *], [* 442,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a^11 - 1
    *], [* 1289,
        a^11
    *], [* 442,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a^11 - 1
    *], [* 1289, -1 *], [* 442,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a^11 - 1
    *], [* 1289,
        -a^11 + 1
    *], [* 442,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
3
;
C<a>:=NumberField(
x^20 + 22*x^12 + 462*x^10 + 1452*x^8 + 1573*x^6 + 847*x^4 - 121*x^2 + 121
);
eps_on_gens:=
[* 1449,
    [ [* 829, -1 *], [* 1289, 1 *], [* 442,
        1/13775382709*(25084280*a^18 + 10290328*a^16 - 36388617*a^14 + 46054220*a^12 + 490776908*a^10 + 11939535762*a^8 + 39983884028*a^6 + 38378168268*a^4 
            + 4981728279*a^2 - 10097346600)
    *] ]
*]
;
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:=
[* 1449,
    [ [* 829, -1 *], [* 1289,
        a^11 - 1
    *], [* 442,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1449,
    [ [* 829, 1 *], [* 1289, 1 *], [* 442, -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:=
[* 1449,
    [ [* 829, 1 *], [* 1289,
        a - 1
    *], [* 442, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a
    *], [* 1289,
        a
    *], [* 442, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a
    *], [* 1289, -1 *], [* 442, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a
    *], [* 1289,
        -a + 1
    *], [* 442, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a - 1
    *], [* 1289, 1 *], [* 442, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a - 1
    *], [* 1289,
        a - 1
    *], [* 442, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829,
        a - 1
    *], [* 1289,
        -a
    *], [* 442, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1449,
    [ [* 829, -1 *], [* 1289,
        a
    *], [* 442, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1449,
    [ [* 829, -1 *], [* 1289, -1 *], [* 442, -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:=
[* 1450,
    [ [* 1277,
        a
    *], [* 901, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1450,
    [ [* 1277,
        a
    *], [* 901, 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:=
[* 1450,
    [ [* 1277, 1 *], [* 901,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1450,
    [ [* 1277,
        a^14
    *], [* 901,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1450,
    [ [* 1277,
        a^28
    *], [* 901,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1450,
    [ [* 1277, -1 *], [* 901,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1450,
    [ [* 1277,
        a^7
    *], [* 901,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1450,
    [ [* 1277,
        a^7
    *], [* 901,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^46 - x^38 - x^36 - x^34 - x^32 + x^28 + x^26 + x^24 + x^22 + x^20 - x^16 - x^14 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1450,
    [ [* 1277,
        a^7
    *], [* 901,
        a^20
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1450,
    [ [* 1277,
        a^7
    *], [* 901,
        a^4
    *] ]
*]
;
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:=
[* 1450,
    [ [* 1277, 1 *], [* 901,
        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:=
[* 1450,
    [ [* 1277,
        a^2
    *], [* 901,
        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:=
[* 1450,
    [ [* 1277,
        a^4
    *], [* 901,
        a^5
    *] ]
*]
;
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:=
[* 1450,
    [ [* 1277, -1 *], [* 901,
        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:=
[* 1450,
    [ [* 1277,
        a
    *], [* 901, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1450,
    [ [* 1277,
        a
    *], [* 901, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^560 + x^555 - x^535 - x^530 + x^510 + x^505 - x^485 - x^480 + x^460 + x^455 - x^435 - x^430 - x^415 + x^405 + x^390 - x^380 - x^365 + x^355 + x^340 - 
    x^330 - x^315 + x^305 + x^290 - x^280 + x^270 + x^255 - x^245 - x^230 + x^220 + x^205 - x^195 - x^180 + x^170 + x^155 - x^145 - x^130 - x^125 + x^105 + 
    x^100 - x^80 - x^75 + x^55 + x^50 - x^30 - x^25 + x^5 + 1
);
eps_on_gens:=
[* 1451,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^112 + x^111 - x^107 - x^106 + x^102 + x^101 - x^97 - x^96 + x^92 + x^91 - x^87 - x^86 - x^83 + x^81 + x^78 - x^76 - x^73 + x^71 + x^68 - x^66 - x^63 + 
    x^61 + x^58 - x^56 + x^54 + x^51 - x^49 - x^46 + x^44 + x^41 - x^39 - x^36 + x^34 + x^31 - x^29 - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 
    - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1451,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 -
    x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1451,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1451,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1451,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1451,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1452,
    [ [* 1333, 1 *], [* 485, 1 *], [* 727, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 1452,
    [ [* 1333, 1 *], [* 485, -1 *], [* 727, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1452,
    [ [* 1333,
        a
    *], [* 485, 1 *], [* 727, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1452,
    [ [* 1333,
        a
    *], [* 485, -1 *], [* 727, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1452,
    [ [* 1333,
        a^2
    *], [* 485, 1 *], [* 727, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^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:=
[* 1452,
    [ [* 1333,
        a^2
    *], [* 485, -1 *], [* 727, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1452,
    [ [* 1333,
        a
    *], [* 485, 1 *], [* 727, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1452,
    [ [* 1333,
        a
    *], [* 485, -1 *], [* 727, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1452,
    [ [* 1333,
        a^2
    *], [* 485, 1 *], [* 727, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1452,
    [ [* 1333,
        a^2
    *], [* 485, -1 *], [* 727, 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:=
[* 1452,
    [ [* 1333,
        a
    *], [* 485, 1 *], [* 727, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1452,
    [ [* 1333,
        a
    *], [* 485, -1 *], [* 727, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1452,
    [ [* 1333,
        a^2
    *], [* 485, 1 *], [* 727, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
3
;
C<a>:=NumberField(
x^8 - 2*x^7 + 15*x^6 - 22*x^5 + 74*x^4 - 58*x^3 + 90*x^2 - 8*x + 61
);
eps_on_gens:=
[* 1452,
    [ [* 1333,
        1/2002589*(-10030*a^7 - 13392*a^6 - 104070*a^5 - 334080*a^4 - 231210*a^3 - 1944401*a^2 + 424638*a - 2391687)
    *], [* 485, -1 *], [* 727, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1452,
    [ [* 1333, -1 *], [* 485, 1 *], [* 727, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1452,
    [ [* 1333, -1 *], [* 485, -1 *], [* 727, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^440 + x^418 - x^374 - x^352 + x^308 + x^286 - x^242 - x^220 - x^198 + x^154 + x^132 - x^88 - x^66 + x^22 + 1
);
eps_on_gens:=
[* 1453,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^220 - x^198 + x^176 - x^154 + x^132 - x^110 + x^88 - x^66 + x^44 - x^22 + 1
);
eps_on_gens:=
[* 1453,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^38 - x^34 - x^32 + x^28 + x^26 - x^22 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1453,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1453,
    [ [* 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:=
[* 1453,
    [ [* 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:=
[* 1453,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^220 + x^209 - x^187 - x^176 + x^154 + x^143 - x^121 - x^110 - x^99 + x^77 + x^66 - x^44 - x^33 + x^11 + 1
);
eps_on_gens:=
[* 1454,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^110 - x^99 + x^88 - x^77 + x^66 - x^55 + x^44 - x^33 + x^22 - x^11 + 1
);
eps_on_gens:=
[* 1454,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1454,
    [ [* 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:=
[* 1454,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1454,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1454,
    [ [* 5, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1455,
    [ [* 781, 1 *], [* 292, 1 *], [* 971, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781, 1 *], [* 292,
        a
    *], [* 971, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1455,
    [ [* 781, 1 *], [* 292, -1 *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, 1 *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        a^24
    *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, -1 *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        -a^24
    *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, 1 *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        a^12
    *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, -1 *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        -a^12
    *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, 1 *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        a^8
    *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, -1 *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        -a^8
    *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, 1 *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        a^6
    *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, -1 *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        -a^6
    *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, 1 *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        a^4
    *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, -1 *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        -a^4
    *], [* 971, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, 1 *], [* 971, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        a^3
    *], [* 971, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, -1 *], [* 971, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        -a^3
    *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, 1 *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        a^2
    *], [* 971, 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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, -1 *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        -a^2
    *], [* 971, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, 1 *], [* 971, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a^2
    *], [* 292,
        a^3
    *], [* 971, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, -1 *], [* 971, -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:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, 1 *], [* 971, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        a
    *], [* 971, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a
    *], [* 292, -1 *], [* 971, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a
    *], [* 292,
        -a
    *], [* 971, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a - 1
    *], [* 292, 1 *], [* 971, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a^2 - 1
    *], [* 292,
        a^3
    *], [* 971, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781,
        a - 1
    *], [* 292, -1 *], [* 971, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1455,
    [ [* 781, -1 *], [* 292, 1 *], [* 971, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1455,
    [ [* 781, -1 *], [* 292,
        a
    *], [* 971, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
16
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1455,
    [ [* 781, -1 *], [* 292, -1 *], [* 971, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1456,
    [ [* 561, 1 *], [* 1249, 1 *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561, 1 *], [* 1249, 1 *], [* 911, -1 *], [* 1093,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1456,
    [ [* 561, 1 *], [* 1249, 1 *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561, 1 *], [* 1249,
        a
    *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561, 1 *], [* 1249,
        a^2
    *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561, 1 *], [* 1249,
        a
    *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561, 1 *], [* 1249,
        a - 1
    *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561, 1 *], [* 1249,
        a^2 - 1
    *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561, 1 *], [* 1249,
        a - 1
    *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1456,
    [ [* 561, 1 *], [* 1249, -1 *], [* 911, 1 *], [* 1093, 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:=
[* 1456,
    [ [* 561, 1 *], [* 1249, -1 *], [* 911, 1 *], [* 1093,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1456,
    [ [* 561, 1 *], [* 1249, -1 *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, 1 *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, 1 *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, 1 *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, 1 *], [* 911, 1 *], [* 1093,
        -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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a^2
    *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a^2
    *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a^2
    *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a^2
    *], [* 911, -1 *], [* 1093,
        -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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a^2 - 1
    *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a^2 - 1
    *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a^2 - 1
    *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a^2 - 1
    *], [* 911, 1 *], [* 1093,
        -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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, -1 *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, -1 *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, -1 *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, -1 *], [* 911, -1 *], [* 1093,
        -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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a^2
    *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a^2
    *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a^2
    *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a^2
    *], [* 911, 1 *], [* 1093,
        -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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a^2 + 1
    *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a^2 + 1
    *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a^2 + 1
    *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a^2 + 1
    *], [* 911, -1 *], [* 1093,
        -a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, 1 *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2
    *], [* 1249, 1 *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, 1 *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a
    *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2
    *], [* 1249,
        a^2
    *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a
    *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a - 1
    *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2
    *], [* 1249,
        a^2 - 1
    *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        a - 1
    *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, -1 *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2
    *], [* 1249, -1 *], [* 911, 1 *], [* 1093,
        a^3
    *] ]
*]
;
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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, -1 *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a
    *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2
    *], [* 1249,
        -a^2
    *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a
    *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a + 1
    *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2
    *], [* 1249,
        -a^2 + 1
    *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249,
        -a + 1
    *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, 1 *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, 1 *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, 1 *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, 1 *], [* 911, 1 *], [* 1093,
        -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:=
[* 1456,
    [ [* 561,
        a^3
    *], [* 1249,
        a^2
    *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^3
    *], [* 1249,
        a^2
    *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a^3
    *], [* 1249,
        a^2
    *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^3
    *], [* 1249,
        a^2
    *], [* 911, -1 *], [* 1093,
        -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:=
[* 1456,
    [ [* 561,
        a^3
    *], [* 1249,
        a^2 - 1
    *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^3
    *], [* 1249,
        a^2 - 1
    *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a^3
    *], [* 1249,
        a^2 - 1
    *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^3
    *], [* 1249,
        a^2 - 1
    *], [* 911, 1 *], [* 1093,
        -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:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, -1 *], [* 911, -1 *], [* 1093, 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:=
[* 1456,
    [ [* 561,
        1/6*(a^3 + a)
    *], [* 1249, -1 *], [* 911, -1 *], [* 1093,
        1/6*(a^3 + a)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a
    *], [* 1249, -1 *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 6*x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        1/2*(-a^3 - 5*a)
    *], [* 1249, -1 *], [* 911, -1 *], [* 1093,
        1/2*(a^3 + 5*a)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a - 1
    *], [* 1249, 1 *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2 - 1
    *], [* 1249, 1 *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a - 1
    *], [* 1249, 1 *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a - 1
    *], [* 1249,
        a
    *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2 - 1
    *], [* 1249,
        a^2
    *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a - 1
    *], [* 1249,
        a
    *], [* 911, 1 *], [* 1093, -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:=
[* 1456,
    [ [* 561,
        -a^2
    *], [* 1249,
        -a^2
    *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2 - 1
    *], [* 1249,
        a^2 - 1
    *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a - 1
    *], [* 1249,
        a - 1
    *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a - 1
    *], [* 1249, -1 *], [* 911, 1 *], [* 1093, 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:=
[* 1456,
    [ [* 561,
        -a^4
    *], [* 1249, -1 *], [* 911, 1 *], [* 1093,
        -a^6
    *] ]
*]
;
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:=
[* 1456,
    [ [* 561,
        a - 1
    *], [* 1249, -1 *], [* 911, 1 *], [* 1093, -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:=
[* 1456,
    [ [* 561,
        -2*a^3 + 3*a^2 - 8*a + 3
    *], [* 1249,
        2*a^3 - 3*a^2 + 8*a - 4
    *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2 - 1
    *], [* 1249,
        -a^2
    *], [* 911, -1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a - 1
    *], [* 1249,
        -a
    *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a - 1
    *], [* 1249,
        -a + 1
    *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561,
        a^2 - 1
    *], [* 1249,
        -a^2 + 1
    *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561,
        a - 1
    *], [* 1249,
        -a + 1
    *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1456,
    [ [* 561, -1 *], [* 1249, 1 *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561, -1 *], [* 1249, 1 *], [* 911, -1 *], [* 1093,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1456,
    [ [* 561, -1 *], [* 1249, 1 *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561, -1 *], [* 1249,
        a
    *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561, -1 *], [* 1249,
        a^2
    *], [* 911, 1 *], [* 1093,
        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:=
[* 1456,
    [ [* 561, -1 *], [* 1249,
        a
    *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 + 3*x^2 + 9
);
eps_on_gens:=
[* 1456,
    [ [* 561, -1 *], [* 1249,
        1/3*(-a^2 - 3)
    *], [* 911, -1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561, -1 *], [* 1249,
        a^2 - 1
    *], [* 911, -1 *], [* 1093,
        a^3
    *] ]
*]
;
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:=
[* 1456,
    [ [* 561, -1 *], [* 1249,
        a - 1
    *], [* 911, -1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1456,
    [ [* 561, -1 *], [* 1249, -1 *], [* 911, 1 *], [* 1093, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 6*x^2 + 1
);
eps_on_gens:=
[* 1456,
    [ [* 561, -1 *], [* 1249, -1 *], [* 911, 1 *], [* 1093,
        1/2*(-a^3 - 5*a)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1456,
    [ [* 561, -1 *], [* 1249, -1 *], [* 911, 1 *], [* 1093, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1457,
    [ [* 189,
        a
    *], [* 1086, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1457,
    [ [* 189,
        a
    *], [* 1086, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1457,
    [ [* 189,
        a
    *], [* 1086, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1457,
    [ [* 189, -1 *], [* 1086, 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:=
[* 1457,
    [ [* 189, 1 *], [* 1086,
        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:=
[* 1457,
    [ [* 189,
        a^46
    *], [* 1086,
        a^15
    *] ]
*]
;
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:=
[* 1457,
    [ [* 189,
        a^46
    *], [* 1086,
        a^5
    *] ]
*]
;
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:=
[* 1457,
    [ [* 189,
        a^23 - 1
    *], [* 1086,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^176 - x^175 + x^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:=
[* 1457,
    [ [* 189,
        a^23
    *], [* 1086,
        a^30
    *] ]
*]
;
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:=
[* 1457,
    [ [* 189,
        a^23
    *], [* 1086,
        a^10
    *] ]
*]
;
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:=
[* 1457,
    [ [* 189,
        a^23
    *], [* 1086,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^44 - 2*x^43 + 3*x^42 - 4*x^41 + 28*x^40 - 52*x^39 + 76*x^38 - 100*x^37 + 469*x^36 - 815*x^35 + 1161*x^34 - 1507*x^33 + 4889*x^32 - 6477*x^31 + 8065*x^30 -
    9653*x^29 + 30653*x^28 - 67247*x^27 + 104301*x^26 - 141355*x^25 + 256862*x^24 - 690160*x^23 + 1108071*x^22 - 1525980*x^21 + 2170830*x^20 - 3014584*x^19 
    + 4391570*x^18 - 5766946*x^17 + 7495694*x^16 - 6961909*x^15 + 5413502*x^14 - 3967376*x^13 + 2901095*x^12 - 680536*x^11 + 437908*x^10 - 113423*x^9 - 
    94475*x^8 - 121356*x^7 + 130877*x^6 - 64912*x^5 + 23557*x^4 - 4489*x^3 + 762*x^2 - 48*x + 1
);
eps_on_gens:=
[* 1457,
    [ [* 189, -1 *], [* 1086,
        1/39419544498425827328014065421809587941776478119778508831319497615218686134650350532843403017453119560758806366314010604998443*(-34600683782981829\
        32927038391355621930198140580851694448933865043242871499659512556127874923974480617549936841203297230955255*a^43 + 
            6920816120316730421612500724508302616071520696748623538121296704037414473861363483539661105268533161771049380262363020998322*a^42 - 
            10392922590240948816862897779635559335243797960838747986736552846036155394782688104014418078041611686353432405931139931708749*a^41 + 
            13857035955061641237288995089766170208730036358530238329560540119371447104585969236415380192427586577168850423424756548645608*a^40 - 
            96905495160062201554746786485862547501804945959231020128903668424143315620521497155336226044207377334559946423970808197286042*a^39 + 
            179968867144267610680007154748573425735211645443952313131897433864855118439018283396126755521820238273818272061619505939986928*a^38 - 
            263293567404846836350063451699419794269936854525533945840761863499628603606562459740251552729686550891507909227828468316957949*a^37 + 
            346434362619040982920658863001415062639050971028449145422802057786892783247524672798052746098480359379070159640271084112926872*a^36 - 
            1623362524309770691591182695470184355344672337264801630901021201140609087386513993737409310414726922963675110744927568547156257*a^35 + 
            2820927127788157835948338262681559918902006776386845248380869369974816784131108143212781600035833041163894055518820836715750388*a^34 - 
            4022396651853038760915886337478433061209566995802918845415023353186468655509631096093770542472764881136277675780899014293724480*a^33 + 
            5220845829271783774508605953160840093704338355870737855333788066706530070160992217171615056001168485415720199139926347646714596*a^32 - 
            16925203050908710471132638679727188347001008513428868782807246157213129957638264766396119072637074376326924609959697614019149363*a^31 + 
            22423951048609346947334126510006230135125886926986334578601362401874703347568792104714663684259540245366122423331272538221786496*a^30 - 
            27956008546349246035547549192858550671107295202763801821766339623337110449152063771793269924926146388475377656903143973063474182*a^29 + 
            33443397432046097091230345370506278730174859789831310029566878748173406335378326771403782211142898594309036652568277359696796358*a^28 - 
            106120392253771107575229155437189747907008879478588936019810349128624548552748562196154899334056684550268317338569034513884673663*a^27 + 
            232759750585102543069695903779509781627043446935820089318170735431476113617713715369472998908028614575279372810131134174486532676*a^26 - 
            361223343918277392536191826724687518799661225815147201881739384462122737798023251343641072028798148864914956461602654664894177088*a^25 + 
            489708879549999994575734275908243336464874932511104092146449366354972546553004420113240426965727823704285396625766455465474867081*a^24 - 
            889581673632462277177392425701592651045573021644031562785699550889819224329466243679059227751735200839891043318161016138784640135*a^23 + 
            2389112166383477284094768685104131580273057948616268108947784112392530459862764089986620501025478083377878436860710079892617423006*a^22 - 
            3836501243065417810184752235667325830136209504000839213446101262698895919279981216173005908333268634652040099140382943855861859457*a^21 + 
            5286855175538711903304019009437730682522589193385388433441073500598727649673830012694647883470019211141038458695290799552495613404*a^20 - 
            7519942125306854010082875093539933541660758437932586726823492534258440227179230098308934624541738236769638224829856511641635165510*a^19 + 
            10442353273518480104817178605961309396039558845350590768975133219513894531985860940118867963263841561268292368150390995495340989007*a^18 - 
            15212233916211297580591387427784636608493810470580194839637711901553834761319301443004100523163653352231098191851934138320601146907*a^17 + 
            19977381865533989854523883747030450141711098967937373664267554694238175099650974547354314571151351824946439892850766705539638764040*a^16 - 
            25970294564255609396562030631018691671032195278349379657845560455018351722760610830423957978189818968168104678850534231982970878463*a^15 + 
            24131038555250208436737459756730054932063868999078832054162825700508783926775623061277170006183903070382081575450813021361277666883*a^14 - 
            18784972892539059921990521076394589723853869036859848965809696703958698372008548949410042671285366557406428708194955873911914206608*a^13 + 
            13763209085999625672128358393604386443928287410148832948278759929434247716152544869598345332037263954963025953206581448028609820797*a^12 - 
            10063370521728052833684466896380537544725673480924108349927314801624801548679623940770977922004441016991380234905800988031362563374*a^11 + 
            2372628617527012162281453547280687316050598718209433368155265999883532506259382930248742627647727778257289194428807138451319863726*a^10 - 
            1527198653940230626795650333572695297678472416073411855058611318515753462378690225719423503836938901983424179917129862094407526944*a^9 + 
            384556046746282122387433560936587332022057406517316402366008645455686589385878524979773561644115803969002027027482962694344554413*a^8 + 
            322002720801987226370089775831226905516388360069664393881988556038215365192260920842505822433019369810464231771468590179470255015*a^7 + 
            417525215072374873208340152254591644699490515106416512438490709913026028175431711189973429464490919493059527770563131472794786215*a^6 - 
            451759636008175183913976444978171481377455869807952230165150380936629402358881095996757458834032725760548819639385710947137402633*a^5 + 
            226762849350377464840705681075221997979063406752998534286588813668929728039017916330679213386673138702349873130295779870354266285*a^4 - 
            81776351048557480487526408641248025886990575773531553431962957310518285324012450879922464112220479098102523244035428784745305761*a^3 + 
            15660443835831566690806544996676877953881514034522254323462811518100291877032313208775180881894809196649980320677416929729072116*a^2 - 
            2645110964363040939414132615735747778636587475807896661379102110630894962751209486046898173134394227566324348892974150395751672*a + 
            126741286264102139839413485230768213993024836489708086716853360872779358609186105202139356635865384641901623775933129540439365)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1457,
    [ [* 189, 1 *], [* 1086, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1457,
    [ [* 189,
        a^2
    *], [* 1086, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1457,
    [ [* 189,
        a^2
    *], [* 1086, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 11*x^2 - 10*x + 13
);
eps_on_gens:=
[* 1457,
    [ [* 189,
        1/13*(-2*a^3 + 3*a^2 - 14*a)
    *], [* 1086, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^162 - x^81 + 1
);
eps_on_gens:=
[* 1458,
    [ [* 731,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^54 - x^27 + 1
);
eps_on_gens:=
[* 1458,
    [ [* 731,
        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:=
[* 1458,
    [ [* 731,
        a
    *] ]
*]
;
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:=
[* 1458,
    [ [* 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:=
[* 1458,
    [ [* 731,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1458,
    [ [* 731, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^486 - x^243 + 1
);
eps_on_gens:=
[* 1459,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^162 - x^81 + 1
);
eps_on_gens:=
[* 1459,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^54 - x^27 + 1
);
eps_on_gens:=
[* 1459,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1459,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1459,
    [ [* 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:=
[* 1459,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
5
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1459,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1460,
    [ [* 881, 1 *], [* 877, 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:=
[* 1460,
    [ [* 881, 1 *], [* 877,
        a
    *], [* 731, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1460,
    [ [* 881, 1 *], [* 877, -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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, 1 *], [* 731, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        a^18
    *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, -1 *], [* 731, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^12 + 1
);
eps_on_gens:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        -a^18
    *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, 1 *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        a^9
    *], [* 731, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, -1 *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        -a^9
    *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, 1 *], [* 731, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        a^6
    *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, -1 *], [* 731, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        -a^6
    *], [* 731, -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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, 1 *], [* 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:=
[* 1460,
    [ [* 881,
        a^2
    *], [* 877,
        a^9
    *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, -1 *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, 1 *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        a^3
    *], [* 731, 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, -1 *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        -a^3
    *], [* 731, 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:=
[* 1460,
    [ [* 881,
        a^2
    *], [* 877, 1 *], [* 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:=
[* 1460,
    [ [* 881,
        a^4
    *], [* 877,
        a^9
    *], [* 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:=
[* 1460,
    [ [* 881,
        a^2
    *], [* 877, -1 *], [* 731, -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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, 1 *], [* 731, 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        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^4 + 1
);
eps_on_gens:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, -1 *], [* 731, 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        -a^2
    *], [* 731, -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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, 1 *], [* 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:=
[* 1460,
    [ [* 881,
        a^2
    *], [* 877,
        a^3
    *], [* 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, -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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        a
    *], [* 731, 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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877, -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:=
[* 1460,
    [ [* 881,
        a
    *], [* 877,
        -a
    *], [* 731, 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:=
[* 1460,
    [ [* 881,
        a - 1
    *], [* 877, 1 *], [* 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:=
[* 1460,
    [ [* 881,
        a^2 - 1
    *], [* 877,
        a^3
    *], [* 731, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 56*x^4 + 16
);
eps_on_gens:=
[* 1460,
    [ [* 881,
        1/32*(-a^6 - 52*a^2 - 16)
    *], [* 877, -1 *], [* 731, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1460,
    [ [* 881, -1 *], [* 877, 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:=
[* 1460,
    [ [* 881, -1 *], [* 877,
        a
    *], [* 731, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1460,
    [ [* 881, -1 *], [* 877, -1 *], [* 731, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1461,
    [ [* 490, 1 *], [* 488, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^162 - x^81 + 1
);
eps_on_gens:=
[* 1461,
    [ [* 490,
        a
    *], [* 488, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^162 - x^81 + 1
);
eps_on_gens:=
[* 1461,
    [ [* 490,
        a^2
    *], [* 488, -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:=
[* 1461,
    [ [* 490,
        a
    *], [* 488, 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:=
[* 1461,
    [ [* 490,
        a^2
    *], [* 488, -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:=
[* 1461,
    [ [* 490,
        a
    *], [* 488, 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:=
[* 1461,
    [ [* 490,
        a^2
    *], [* 488, -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:=
[* 1461,
    [ [* 490,
        a
    *], [* 488, 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:=
[* 1461,
    [ [* 490,
        a^2
    *], [* 488, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1461,
    [ [* 490,
        a
    *], [* 488, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - 2*x^3 + 7*x^2 - 6*x + 3
);
eps_on_gens:=
[* 1461,
    [ [* 490,
        1/5*(-2*a^3 + 3*a^2 - 10*a + 2)
    *], [* 488, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C:=Rationals();
eps_on_gens:=
[* 1461,
    [ [* 490, -1 *], [* 488, 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:=
[* 1462,
    [ [* 173,
        a
    *], [* 1293, 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:=
[* 1462,
    [ [* 173, 1 *], [* 1293,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^44 - x^36 - x^32 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1462,
    [ [* 173,
        a^21
    *], [* 1293,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1462,
    [ [* 173,
        a^21
    *], [* 1293,
        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:=
[* 1462,
    [ [* 173, -1 *], [* 1293,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^88 - x^72 - x^64 + x^48 - x^32 - x^24 + x^8 + 1
);
eps_on_gens:=
[* 1462,
    [ [* 173,
        a^21
    *], [* 1293,
        a^16
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1462,
    [ [* 173, 1 *], [* 1293,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1462,
    [ [* 173,
        a^7
    *], [* 1293,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1462,
    [ [* 173,
        a^7
    *], [* 1293,
        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:=
[* 1462,
    [ [* 173, -1 *], [* 1293,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1462,
    [ [* 173,
        a^7
    *], [* 1293,
        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:=
[* 1462,
    [ [* 173, 1 *], [* 1293,
        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:=
[* 1462,
    [ [* 173,
        a^3
    *], [* 1293,
        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:=
[* 1462,
    [ [* 173,
        a^3
    *], [* 1293,
        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:=
[* 1462,
    [ [* 173, -1 *], [* 1293,
        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:=
[* 1462,
    [ [* 173,
        a^3
    *], [* 1293,
        a^8 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1462,
    [ [* 173, 1 *], [* 1293, -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:=
[* 1462,
    [ [* 173,
        a
    *], [* 1293, -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:=
[* 1462,
    [ [* 173,
        a
    *], [* 1293, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 1462,
    [ [* 173, -1 *], [* 1293, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78, 1 *], [* 1046,
        a
    *], [* 134, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1463,
    [ [* 78, 1 *], [* 1046, -1 *], [* 134, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78, 1 *], [* 1046, 1 *], [* 134,
        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:=
[* 1463,
    [ [* 78, 1 *], [* 1046,
        a^5 - 1
    *], [* 134,
        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:=
[* 1463,
    [ [* 78, 1 *], [* 1046,
        a^5
    *], [* 134,
        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:=
[* 1463,
    [ [* 78, 1 *], [* 1046, -1 *], [* 134,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1463,
    [ [* 78, 1 *], [* 1046, 1 *], [* 134, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78, 1 *], [* 1046,
        a - 1
    *], [* 134, -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:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046, 1 *], [* 134, 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:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046,
        a^3 - 1
    *], [* 134, 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:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046,
        -a^3
    *], [* 134, 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:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046,
        a^15
    *], [* 134,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046, -1 *], [* 134,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046,
        -a^15 + 1
    *], [* 134,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046, 1 *], [* 134,
        a^18
    *] ]
*]
;
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:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046,
        a^15 - 1
    *], [* 134,
        a^18
    *] ]
*]
;
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:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046,
        -a^15
    *], [* 134,
        a^18
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046,
        a^3
    *], [* 134, -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:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046, -1 *], [* 134, -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:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046,
        -a^3 + 1
    *], [* 134, -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:=
[* 1463,
    [ [* 78,
        a^2
    *], [* 1046,
        a^3
    *], [* 134, 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:=
[* 1463,
    [ [* 78,
        a^2
    *], [* 1046, -1 *], [* 134, 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:=
[* 1463,
    [ [* 78,
        a^2
    *], [* 1046,
        -a^3 + 1
    *], [* 134, 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:=
[* 1463,
    [ [* 78,
        a^10
    *], [* 1046, 1 *], [* 134,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a^10
    *], [* 1046,
        a^15 - 1
    *], [* 134,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a^10
    *], [* 1046,
        -a^15
    *], [* 134,
        a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a^10
    *], [* 1046,
        a^15
    *], [* 134,
        a^18
    *] ]
*]
;
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:=
[* 1463,
    [ [* 78,
        a^10
    *], [* 1046, -1 *], [* 134,
        a^18
    *] ]
*]
;
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:=
[* 1463,
    [ [* 78,
        a^10
    *], [* 1046,
        -a^15 + 1
    *], [* 134,
        a^18
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a^2
    *], [* 1046, 1 *], [* 134, -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:=
[* 1463,
    [ [* 78,
        a^2
    *], [* 1046,
        a^3 - 1
    *], [* 134, -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:=
[* 1463,
    [ [* 78,
        a^2
    *], [* 1046,
        -a^3
    *], [* 134, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046, 1 *], [* 134, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046,
        a - 1
    *], [* 134, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046,
        -a
    *], [* 134, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046,
        a^5
    *], [* 134,
        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:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046, -1 *], [* 134,
        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:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046,
        -a^5 + 1
    *], [* 134,
        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:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046, 1 *], [* 134,
        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:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046,
        a^5 - 1
    *], [* 134,
        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:=
[* 1463,
    [ [* 78,
        a^5
    *], [* 1046,
        -a^5
    *], [* 134,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046,
        a
    *], [* 134, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046, -1 *], [* 134, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a
    *], [* 1046,
        -a + 1
    *], [* 134, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a - 1
    *], [* 1046,
        a
    *], [* 134, 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:=
[* 1463,
    [ [* 78,
        a - 1
    *], [* 1046, -1 *], [* 134, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a - 1
    *], [* 1046,
        -a + 1
    *], [* 134, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a^5 - 1
    *], [* 1046, 1 *], [* 134,
        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:=
[* 1463,
    [ [* 78,
        a^5 - 1
    *], [* 1046,
        a^5 - 1
    *], [* 134,
        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:=
[* 1463,
    [ [* 78,
        a^5 - 1
    *], [* 1046,
        -a^5
    *], [* 134,
        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:=
[* 1463,
    [ [* 78,
        a^5 - 1
    *], [* 1046,
        a^5
    *], [* 134,
        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:=
[* 1463,
    [ [* 78,
        a^5 - 1
    *], [* 1046, -1 *], [* 134,
        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:=
[* 1463,
    [ [* 78,
        a^5 - 1
    *], [* 1046,
        -a^5 + 1
    *], [* 134,
        a^6
    *] ]
*]
;
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:=
[* 1463,
    [ [* 78,
        a - 1
    *], [* 1046, 1 *], [* 134, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a - 1
    *], [* 1046,
        a - 1
    *], [* 134, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78,
        a - 1
    *], [* 1046,
        -a
    *], [* 134, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1463,
    [ [* 78, -1 *], [* 1046, 1 *], [* 134, 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:=
[* 1463,
    [ [* 78, -1 *], [* 1046,
        a - 1
    *], [* 134, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78, -1 *], [* 1046,
        a^5
    *], [* 134,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78, -1 *], [* 1046, -1 *], [* 134,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78, -1 *], [* 1046, 1 *], [* 134,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1463,
    [ [* 78, -1 *], [* 1046,
        a^5 - 1
    *], [* 134,
        a^6
    *] ]
*]
;
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:=
[* 1463,
    [ [* 78, -1 *], [* 1046,
        a
    *], [* 134, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
14
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1463,
    [ [* 78, -1 *], [* 1046, -1 *], [* 134, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1464,
    [ [* 673, 1 *], [* 367, -1 *], [* 977, 1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1464,
    [ [* 673, 1 *], [* 367, -1 *], [* 977, 1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1464,
    [ [* 673, 1 *], [* 367, 1 *], [* 977, -1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1464,
    [ [* 673, 1 *], [* 367, 1 *], [* 977, -1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, 1 *], [* 733, 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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, 1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, -1 *], [* 733, 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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, -1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, 1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, 1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, -1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, -1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, 1 *], [* 733, 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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, 1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, -1 *], [* 733, 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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, -1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a^2
    *], [* 367, -1 *], [* 977, 1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a^2
    *], [* 367, -1 *], [* 977, 1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a^2
    *], [* 367, 1 *], [* 977, -1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a^2
    *], [* 367, 1 *], [* 977, -1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, 1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, 1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, -1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, -1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, 1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, 1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, -1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, -1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, 1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, 1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, -1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, -1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a^2
    *], [* 367, -1 *], [* 977, 1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a^2
    *], [* 367, -1 *], [* 977, 1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a^2
    *], [* 367, 1 *], [* 977, -1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a^2
    *], [* 367, 1 *], [* 977, -1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, 1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, 1 *], [* 977, 1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, -1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a
    *], [* 367, -1 *], [* 977, -1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a - 1
    *], [* 367, -1 *], [* 977, 1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a - 1
    *], [* 367, -1 *], [* 977, 1 *], [* 733, -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:=
[* 1464,
    [ [* 673,
        a - 1
    *], [* 367, 1 *], [* 977, -1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1464,
    [ [* 673,
        a - 1
    *], [* 367, 1 *], [* 977, -1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1464,
    [ [* 673, -1 *], [* 367, -1 *], [* 977, 1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1464,
    [ [* 673, -1 *], [* 367, -1 *], [* 977, 1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1464,
    [ [* 673, -1 *], [* 367, 1 *], [* 977, -1 *], [* 733, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1464,
    [ [* 673, -1 *], [* 367, 1 *], [* 977, -1 *], [* 733, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1465,
    [ [* 881, 1 *], [* 587,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^142 + x^140 - x^138 + x^136 - x^134 + x^132 - x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - 
    x^106 + x^104 - x^102 + x^100 - x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + 
    x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 
    + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1465,
    [ [* 881,
        a
    *], [* 587, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^142 + x^140 - x^138 + x^136 - x^134 + x^132 - x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - 
    x^106 + x^104 - x^102 + x^100 - x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + 
    x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 
    + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1465,
    [ [* 881,
        a
    *], [* 587, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^142 + x^140 - x^138 + x^136 - x^134 + x^132 - x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - 
    x^106 + x^104 - x^102 + x^100 - x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + 
    x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 
    + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1465,
    [ [* 881,
        a^2
    *], [* 587,
        a^73
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^144 - x^142 + x^140 - x^138 + x^136 - x^134 + x^132 - x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - 
    x^106 + x^104 - x^102 + x^100 - x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + 
    x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 
    + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1465,
    [ [* 881,
        a^4
    *], [* 587,
        a^73
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1465,
    [ [* 881,
        a
    *], [* 587, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1465,
    [ [* 881,
        a
    *], [* 587, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1465,
    [ [* 881, -1 *], [* 587,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 + x^238 - x^234 - x^232 + x^228 + x^226 - x^222 - x^220 + x^216 + x^214 - x^210 - x^208 + x^204 + x^202 - x^198 - x^196 + x^192 + x^190 - x^186 - 
    x^184 + x^180 + x^178 - x^174 - x^172 + x^168 + x^166 - x^162 - x^160 + x^156 + x^154 - x^150 - x^148 + x^144 + x^142 - x^138 - x^136 + x^132 + x^130 - 
    x^126 - x^124 + x^120 - x^116 - x^114 + x^110 + x^108 - x^104 - x^102 + x^98 + x^96 - x^92 - x^90 + x^86 + x^84 - x^80 - x^78 + x^74 + x^72 - x^68 - 
    x^66 + x^62 + x^60 - x^56 - x^54 + x^50 + x^48 - x^44 - x^42 + x^38 + x^36 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1466,
    [ [* 739,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - x^106 + x^104 - x^102 + x^100 - x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 
    - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + 
    x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1466,
    [ [* 739,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1466,
    [ [* 739,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1466,
    [ [* 739,
        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:=
[* 1467,
    [ [* 1306, 1 *], [* 164,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1467,
    [ [* 1306, 1 *], [* 164, -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:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164, 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:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164,
        a^27 - 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:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164,
        -a^27
    *] ]
*]
;
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:=
[* 1467,
    [ [* 1306,
        a^2
    *], [* 164,
        a^27
    *] ]
*]
;
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:=
[* 1467,
    [ [* 1306,
        a^2
    *], [* 164, -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:=
[* 1467,
    [ [* 1306,
        a^2
    *], [* 164,
        -a^27 + 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:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164, 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:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164,
        a^9 - 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:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164,
        -a^9
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^9 + 1
);
eps_on_gens:=
[* 1467,
    [ [* 1306,
        a^2
    *], [* 164,
        a^9
    *] ]
*]
;
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:=
[* 1467,
    [ [* 1306,
        a^2
    *], [* 164, -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:=
[* 1467,
    [ [* 1306,
        a^2
    *], [* 164,
        -a^9 + 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:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164, 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:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164,
        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:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164,
        -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:=
[* 1467,
    [ [* 1306,
        a^2
    *], [* 164,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1467,
    [ [* 1306,
        a^2
    *], [* 164, -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:=
[* 1467,
    [ [* 1306,
        a^2
    *], [* 164,
        -a^3 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164,
        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:=
[* 1467,
    [ [* 1306,
        a
    *], [* 164,
        -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:=
[* 1467,
    [ [* 1306,
        a - 1
    *], [* 164,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - 2*x^2 + 4
);
eps_on_gens:=
[* 1467,
    [ [* 1306,
        1/2*(a^2 - 2)
    *], [* 164, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1467,
    [ [* 1306,
        a - 1
    *], [* 164,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1467,
    [ [* 1306, -1 *], [* 164, 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:=
[* 1467,
    [ [* 1306, -1 *], [* 164,
        -a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1468,
    [ [* 373, 1 *], [* 735, -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^117 - x^116 + x^114 + x^113 - x^111 - x^110 + x^108 + x^107 - x^105 - x^104 + x^102 + x^101 - x^99 - x^98 + x^96 + x^95 - x^93 - x^92 + 
    x^90 + x^89 - x^87 - x^86 + x^84 + x^83 - x^81 - x^80 + x^78 + x^77 - x^75 - x^74 + x^72 + x^71 - x^69 - x^68 + x^66 + x^65 - x^63 - x^62 + x^60 - x^58 
    - x^57 + x^55 + x^54 - x^52 - x^51 + x^49 + x^48 - x^46 - x^45 + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + 
    x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1468,
    [ [* 373,
        a
    *], [* 735, 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^117 - x^116 + x^114 + x^113 - x^111 - x^110 + x^108 + x^107 - x^105 - x^104 + x^102 + x^101 - x^99 - x^98 + x^96 + x^95 - x^93 - x^92 + 
    x^90 + x^89 - x^87 - x^86 + x^84 + x^83 - x^81 - x^80 + x^78 + x^77 - x^75 - x^74 + x^72 + x^71 - x^69 - x^68 + x^66 + x^65 - x^63 - x^62 + x^60 - x^58 
    - x^57 + x^55 + x^54 - x^52 - x^51 + x^49 + x^48 - x^46 - x^45 + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + 
    x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1468,
    [ [* 373,
        a^2
    *], [* 735, -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^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:=
[* 1468,
    [ [* 373,
        a
    *], [* 735, 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^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:=
[* 1468,
    [ [* 373,
        a^2
    *], [* 735, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1468,
    [ [* 373,
        a
    *], [* 735, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1468,
    [ [* 373,
        a - 1
    *], [* 735, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1468,
    [ [* 373, -1 *], [* 735, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a
    *], [* 794, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a
    *], [* 794, 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:=
[* 1469,
    [ [* 340, 1 *], [* 794,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^88 - x^72 - x^64 + x^48 - x^32 - x^24 + x^8 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a^56
    *], [* 794,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^96 + x^88 - x^72 - x^64 + x^48 - x^32 - x^24 + x^8 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a^56 - 1
    *], [* 794,
        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^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340, -1 *], [* 794,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^44 - x^36 - x^32 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a^14
    *], [* 794,
        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^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a^14
    *], [* 794,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^44 - x^36 - x^32 + x^24 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        -a^14
    *], [* 794,
        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^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        -a^14
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        a^7
    *], [* 794,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a^7
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        -a^7
    *], [* 794,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        -a^7
    *], [* 794,
        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:=
[* 1469,
    [ [* 340, 1 *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        a^8
    *], [* 794,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a^8 - 1
    *], [* 794,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340, -1 *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        a^7
    *], [* 794,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a^7
    *], [* 794,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a^2
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        a^2
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        -a^2
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        -a^2
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        a^7
    *], [* 794,
        a^12
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a^7
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        a
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        a
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        -a
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        -a
    *], [* 794,
        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:=
[* 1469,
    [ [* 340,
        a
    *], [* 794, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1469,
    [ [* 340,
        a
    *], [* 794, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1470,
    [ [* 1177, 1 *], [* 1081, 1 *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177,
        a
    *], [* 1081, 1 *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1470,
    [ [* 1177, -1 *], [* 1081, 1 *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177, 1 *], [* 1081,
        a
    *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177,
        a^21
    *], [* 1081,
        a^2
    *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177, -1 *], [* 1081,
        a
    *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177, 1 *], [* 1081,
        a^2
    *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^22 - x^18 - x^16 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177,
        a^21
    *], [* 1081,
        a^4
    *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177, -1 *], [* 1081,
        a^2
    *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177, 1 *], [* 1081,
        a
    *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177,
        a^7
    *], [* 1081,
        a^2
    *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177, -1 *], [* 1081,
        a
    *], [* 491, 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:=
[* 1470,
    [ [* 1177, 1 *], [* 1081,
        a^2
    *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177,
        a^7
    *], [* 1081,
        a^4
    *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177, -1 *], [* 1081,
        a^2
    *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177, 1 *], [* 1081,
        a
    *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177,
        a^3
    *], [* 1081,
        a^2
    *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177, -1 *], [* 1081,
        a
    *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177, 1 *], [* 1081,
        a - 1
    *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177,
        a^3
    *], [* 1081,
        a^2 - 1
    *], [* 491, 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:=
[* 1470,
    [ [* 1177, -1 *], [* 1081,
        a - 1
    *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1470,
    [ [* 1177, 1 *], [* 1081, -1 *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1470,
    [ [* 1177,
        a
    *], [* 1081, -1 *], [* 491, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1470,
    [ [* 1177, -1 *], [* 1081, -1 *], [* 491, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^336 - x^329 + x^322 + x^301 - x^294 + 2*x^287 - x^280 + x^273 + x^252 - x^245 + x^238 - x^231 + x^224 - x^217 - x^196 - x^182 - x^168 - x^154 - x^140 - 
    x^119 + x^112 - x^105 + x^98 - x^91 + x^84 + x^63 - x^56 + 2*x^49 - x^42 + x^35 + x^14 - x^7 + 1
);
eps_on_gens:=
[* 1471,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^168 + x^161 - x^133 - x^126 - x^119 - x^112 + x^98 + x^91 + x^84 + x^77 + x^70 - x^56 - x^49 - x^42 - x^35 + x^7 + 1
);
eps_on_gens:=
[* 1471,
    [ [* 6,
        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:=
[* 1471,
    [ [* 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^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:=
[* 1471,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^42 - x^35 + x^28 - x^21 + x^14 - x^7 + 1
);
eps_on_gens:=
[* 1471,
    [ [* 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^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:=
[* 1471,
    [ [* 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:=
[* 1471,
    [ [* 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:=
[* 1471,
    [ [* 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:=
[* 1471,
    [ [* 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:=
[* 1471,
    [ [* 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:=
[* 1471,
    [ [* 6,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
11
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1471,
    [ [* 6, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1472,
    [ [* 645, 1 *], [* 1151, -1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1472,
    [ [* 645,
        a
    *], [* 1151, -1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1472,
    [ [* 645,
        a
    *], [* 1151, -1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1472,
    [ [* 645,
        a
    *], [* 1151, -1 *], [* 833, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1472,
    [ [* 645, -1 *], [* 1151, -1 *], [* 833, 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:=
[* 1472,
    [ [* 645, 1 *], [* 1151, 1 *], [* 833,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1472,
    [ [* 645,
        a^11
    *], [* 1151, 1 *], [* 833,
        a^8
    *] ]
*]
;
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:=
[* 1472,
    [ [* 645,
        a^11
    *], [* 1151, 1 *], [* 833,
        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:=
[* 1472,
    [ [* 645,
        a^11
    *], [* 1151, 1 *], [* 833,
        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:=
[* 1472,
    [ [* 645, -1 *], [* 1151, 1 *], [* 833,
        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:=
[* 1472,
    [ [* 645, 1 *], [* 1151, -1 *], [* 833,
        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^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1472,
    [ [* 645,
        a^11
    *], [* 1151, -1 *], [* 833,
        a^16
    *] ]
*]
;
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:=
[* 1472,
    [ [* 645,
        a^11
    *], [* 1151, -1 *], [* 833,
        a^8
    *] ]
*]
;
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:=
[* 1472,
    [ [* 645,
        a^11
    *], [* 1151, -1 *], [* 833,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1472,
    [ [* 645, -1 *], [* 1151, -1 *], [* 833,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 1472,
    [ [* 645, 1 *], [* 1151, 1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - 2*x^12 + 16*x^11 - 20*x^10 + 8*x^9 + 2*x^8 - 64*x^7 + 336*x^6 - 672*x^5 + 658*x^4 - 336*x^3 + 84*x^2 - 8*x + 1
);
eps_on_gens:=
[* 1472,
    [ [* 645,
        1/9567317774*(-314627262*a^15 - 886087991*a^14 - 217255313*a^13 + 300955579*a^12 + 1244790134*a^11 - 2508122146*a^10 - 6666368888*a^9 + 
            11920280223*a^8 + 1095623526*a^7 + 20155744299*a^6 - 47861618691*a^5 - 70507567431*a^4 + 298443785034*a^3 - 267296322938*a^2 + 86762220156*a - 
            9713462193)
    *], [* 1151, 1 *], [* 833, -1 *] ]
*]
;
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:=
[* 1472,
    [ [* 645,
        a
    *], [* 1151, 1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
9
;
C<a>:=NumberField(
x^4 - 2*x^3 + 2*x^2 + 2*x + 1
);
eps_on_gens:=
[* 1472,
    [ [* 645,
        1/2*(a^3 - 3*a^2 + 3*a + 1)
    *], [* 1151, 1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
18
;
C:=Rationals();
eps_on_gens:=
[* 1472,
    [ [* 645, -1 *], [* 1151, 1 *], [* 833, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1473,
    [ [* 493, 1 *], [* 983, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^168 + x^161 - x^133 - x^126 - x^119 - x^112 + x^98 + x^91 + x^84 + x^77 + x^70 - x^56 - x^49 - x^42 - x^35 + x^7 + 1
);
eps_on_gens:=
[* 1473,
    [ [* 493,
        a
    *], [* 983, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^168 + x^161 - x^133 - x^126 - x^119 - x^112 + x^98 + x^91 + x^84 + x^77 + x^70 - x^56 - x^49 - x^42 - x^35 + x^7 + 1
);
eps_on_gens:=
[* 1473,
    [ [* 493,
        a^2
    *], [* 983, -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:=
[* 1473,
    [ [* 493,
        a
    *], [* 983, 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:=
[* 1473,
    [ [* 493,
        a
    *], [* 983, 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:=
[* 1473,
    [ [* 493,
        a^2
    *], [* 983, -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:=
[* 1473,
    [ [* 493,
        a^2
    *], [* 983, -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:=
[* 1473,
    [ [* 493,
        a
    *], [* 983, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1473,
    [ [* 493,
        a
    *], [* 983, 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:=
[* 1473,
    [ [* 493,
        a^2
    *], [* 983, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1473,
    [ [* 493,
        a^2
    *], [* 983, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1473,
    [ [* 493, -1 *], [* 983, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1474,
    [ [* 805,
        a
    *], [* 1409, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1474,
    [ [* 805, -1 *], [* 1409, 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:=
[* 1474,
    [ [* 805, 1 *], [* 1409,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^79 + x^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1474,
    [ [* 805,
        a^66
    *], [* 1409,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 - x^79 + x^78 + x^75 - x^74 + x^73 + x^69 - x^68 + x^67 - x^65 + 2*x^64 - 2*x^63 + x^62 - x^60 + x^59 - x^58 - x^54 + x^53 - x^52 + x^50 - 2*x^49 + 
    2*x^48 - 2*x^47 + x^46 - x^44 + x^43 - x^42 + x^41 - x^40 + x^39 - x^38 + x^37 - x^36 + x^34 - 2*x^33 + 2*x^32 - 2*x^31 + x^30 - x^28 + x^27 - x^26 - 
    x^22 + x^21 - x^20 + x^18 - 2*x^17 + 2*x^16 - x^15 + x^13 - x^12 + x^11 + x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1474,
    [ [* 805,
        a^33
    *], [* 1409,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1474,
    [ [* 805, -1 *], [* 1409,
        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:=
[* 1474,
    [ [* 805, 1 *], [* 1409,
        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:=
[* 1474,
    [ [* 805,
        a^22
    *], [* 1409,
        a^5
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^39 - x^35 - x^34 + x^30 - x^28 - x^25 + x^23 + x^20 + x^17 - x^15 - x^12 + x^10 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1474,
    [ [* 805,
        a^11
    *], [* 1409,
        a^10
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1474,
    [ [* 805, -1 *], [* 1409,
        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:=
[* 1474,
    [ [* 805, 1 *], [* 1409,
        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:=
[* 1474,
    [ [* 805,
        a^6
    *], [* 1409,
        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:=
[* 1474,
    [ [* 805,
        a^3
    *], [* 1409,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1474,
    [ [* 805, -1 *], [* 1409,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1474,
    [ [* 805, 1 *], [* 1409, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1474,
    [ [* 805,
        a^2
    *], [* 1409, -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:=
[* 1475,
    [ [* 651, 1 *], [* 827,
        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:=
[* 1475,
    [ [* 651, 1 *], [* 827,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 -
    x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1475,
    [ [* 651,
        a
    *], [* 827, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^112 + x^111 - x^107 - x^106 + x^102 + x^101 - x^97 - x^96 + x^92 + x^91 - x^87 - x^86 - x^83 + x^81 + x^78 - x^76 - x^73 + x^71 + x^68 - x^66 - x^63 + 
    x^61 + x^58 - x^56 + x^54 + x^51 - x^49 - x^46 + x^44 + x^41 - x^39 - x^36 + x^34 + x^31 - x^29 - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 
    - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1475,
    [ [* 651,
        a^5
    *], [* 827,
        a^29
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^112 + x^111 - x^107 - x^106 + x^102 + x^101 - x^97 - x^96 + x^92 + x^91 - x^87 - x^86 - x^83 + x^81 + x^78 - x^76 - x^73 + x^71 + x^68 - x^66 - x^63 + 
    x^61 + x^58 - x^56 + x^54 + x^51 - x^49 - x^46 + x^44 + x^41 - x^39 - x^36 + x^34 + x^31 - x^29 - x^26 - x^25 + x^21 + x^20 - x^16 - x^15 + x^11 + x^10 
    - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1475,
    [ [* 651,
        a^5
    *], [* 827,
        a^58
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^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:=
[* 1475,
    [ [* 651,
        a
    *], [* 827, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^224 + x^222 - x^214 - x^212 + x^204 + x^202 - x^194 - x^192 + x^184 + x^182 - x^174 - x^172 - x^166 + x^162 + x^156 - x^152 - x^146 + x^142 + x^136 - 
    x^132 - x^126 + x^122 + x^116 - x^112 + x^108 + x^102 - x^98 - x^92 + x^88 + x^82 - x^78 - x^72 + x^68 + x^62 - x^58 - x^52 - x^50 + x^42 + x^40 - x^32 
    - x^30 + x^22 + x^20 - x^12 - x^10 + x^2 + 1
);
eps_on_gens:=
[* 1475,
    [ [* 651,
        a^20
    *], [* 827,
        a^29
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + 
    x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1475,
    [ [* 651,
        a^4
    *], [* 827,
        a^29
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
3
;
C:=Rationals();
eps_on_gens:=
[* 1475,
    [ [* 651, -1 *], [* 827, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 2*x^7 + 3*x^6 - x^5 - x^3 + 23*x^2 - 3*x + 1
);
eps_on_gens:=
[* 1475,
    [ [* 651, -1 *], [* 827,
        1/310*(-70*a^7 - 159*a^6 - 235*a^5 + 35*a^4 + 25*a^3 + 110*a^2 - 1496*a + 5)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 2*x^7 + 3*x^6 + x^5 + x^3 + 23*x^2 + 3*x + 1
);
eps_on_gens:=
[* 1475,
    [ [* 651, -1 *], [* 827,
        1/310*(-70*a^7 + 159*a^6 - 235*a^5 - 35*a^4 + 25*a^3 - 110*a^2 - 1496*a - 5)
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 1475,
    [ [* 651, -1 *], [* 827, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1476,
    [ [* 821, 1 *], [* 1441, 1 *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a
    *], [* 1441, 1 *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a - 1
    *], [* 1441, 1 *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1476,
    [ [* 821, -1 *], [* 1441, 1 *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821, 1 *], [* 1441,
        a
    *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^20
    *], [* 1441,
        a^3
    *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 + x^28 - x^20 - x^16 - x^12 + x^4 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^20 - 1
    *], [* 1441,
        a^3
    *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821, -1 *], [* 1441,
        a
    *], [* 739, -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:=
[* 1476,
    [ [* 821, 1 *], [* 1441,
        a
    *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^10
    *], [* 1441,
        a^3
    *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 + x^14 - x^10 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^10 - 1
    *], [* 1441,
        a^3
    *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821, -1 *], [* 1441,
        a
    *], [* 739, 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:=
[* 1476,
    [ [* 821, 1 *], [* 1441,
        a
    *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^5
    *], [* 1441,
        a^3
    *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^5 - 1
    *], [* 1441,
        a^3
    *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821, -1 *], [* 1441,
        a
    *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821, 1 *], [* 1441,
        a
    *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^4
    *], [* 1441,
        a^3
    *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^4 - 1
    *], [* 1441,
        a^3
    *], [* 739, 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:=
[* 1476,
    [ [* 821, -1 *], [* 1441,
        a
    *], [* 739, -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:=
[* 1476,
    [ [* 821, 1 *], [* 1441,
        a^2
    *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^5
    *], [* 1441,
        a^6
    *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^5 - 1
    *], [* 1441,
        a^6
    *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821, -1 *], [* 1441,
        a^2
    *], [* 739, 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:=
[* 1476,
    [ [* 821, 1 *], [* 1441,
        a
    *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^2
    *], [* 1441,
        a^3
    *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a^2 - 1
    *], [* 1441,
        a^3
    *], [* 739, -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:=
[* 1476,
    [ [* 821, -1 *], [* 1441,
        a^2
    *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 1476,
    [ [* 821, 1 *], [* 1441, -1 *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        a
    *], [* 1441, -1 *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 4*x^7 + 2*x^6 + 8*x^5 + x^4 - 20*x^3 + 32*x^2 - 20*x + 25
);
eps_on_gens:=
[* 1476,
    [ [* 821,
        1/3285*(92*a^7 - 322*a^6 + 96*a^5 + 565*a^4 + 484*a^3 - 1452*a^2 + 3532*a - 3140)
    *], [* 1441, -1 *], [* 739, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1476,
    [ [* 821, -1 *], [* 1441, -1 *], [* 739, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268, 1 *], [* 423,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1477,
    [ [* 1268, 1 *], [* 423, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423,
        a^35 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423,
        -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:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423,
        a^35
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^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:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423,
        -a^35 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^3
    *], [* 423,
        a^35 - 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:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423,
        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:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423,
        -a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^6
    *], [* 423,
        a^35
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423,
        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:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423,
        -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:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423,
        -a^7 + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423,
        a^5
    *] ]
*]
;
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:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423,
        -a^5 + 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:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^3
    *], [* 423,
        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:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^3
    *], [* 423,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 + x^11 - x^9 - x^8 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^6
    *], [* 423,
        a^7
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423,
        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:=
[* 1477,
    [ [* 1268,
        a
    *], [* 423,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a^6
    *], [* 423,
        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:=
[* 1477,
    [ [* 1268,
        a^2
    *], [* 423, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a - 1
    *], [* 423,
        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:=
[* 1477,
    [ [* 1268,
        a - 1
    *], [* 423, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1477,
    [ [* 1268,
        a - 1
    *], [* 423,
        -a + 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1477,
    [ [* 1268, -1 *], [* 423, 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:=
[* 1477,
    [ [* 1268, -1 *], [* 423,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 + x^237 - x^231 - x^228 + x^222 + x^219 - x^213 - x^210 + x^204 + x^201 - x^195 - x^192 + x^186 + x^183 - x^177 - x^174 + x^168 + x^165 - x^159 - 
    x^156 + x^150 + x^147 - x^141 - x^138 + x^132 + x^129 - x^123 - x^120 - x^117 + x^111 + x^108 - x^102 - x^99 + x^93 + x^90 - x^84 - x^81 + x^75 + x^72 -
    x^66 - x^63 + x^57 + x^54 - x^48 - x^45 + x^39 + x^36 - x^30 - x^27 + x^21 + x^18 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1478,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^79 - x^77 - x^76 + x^74 + x^73 - x^71 - x^70 + x^68 + x^67 - x^65 - x^64 + x^62 + x^61 - x^59 - x^58 + x^56 + x^55 - x^53 - x^52 + x^50 + x^49 - 
    x^47 - x^46 + x^44 + x^43 - x^41 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 
    - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1478,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + 
    x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1478,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1478,
    [ [* 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:=
[* 1478,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1478,
    [ [* 3, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1479,
    [ [* 205, 1 *], [* 88, 1 *], [* 494, -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:=
[* 1479,
    [ [* 205, 1 *], [* 88,
        a
    *], [* 494, 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:=
[* 1479,
    [ [* 205, 1 *], [* 88,
        a
    *], [* 494, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1479,
    [ [* 205, 1 *], [* 88,
        a
    *], [* 494, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1479,
    [ [* 205, 1 *], [* 88, -1 *], [* 494, -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:=
[* 1479,
    [ [* 205,
        a
    *], [* 88, 1 *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a^4
    *], [* 88,
        a^7
    *], [* 494, -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:=
[* 1479,
    [ [* 205,
        a^2
    *], [* 88,
        a^7
    *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a^4
    *], [* 88,
        a^21
    *], [* 494, -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:=
[* 1479,
    [ [* 205,
        a
    *], [* 88,
        a^7
    *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a^2
    *], [* 88,
        a^21
    *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a
    *], [* 88, -1 *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a
    *], [* 88,
        -a^7
    *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a
    *], [* 88, 1 *], [* 494, -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:=
[* 1479,
    [ [* 205,
        a^8
    *], [* 88,
        a^7
    *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a^4
    *], [* 88,
        a^7
    *], [* 494, -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:=
[* 1479,
    [ [* 205,
        a^2
    *], [* 88,
        a^7
    *], [* 494, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1479,
    [ [* 205,
        -a^8
    *], [* 88, -1 *], [* 494, -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:=
[* 1479,
    [ [* 205,
        a^2
    *], [* 88, 1 *], [* 494, -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:=
[* 1479,
    [ [* 205,
        a^16
    *], [* 88,
        a^7
    *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a^8
    *], [* 88,
        a^7
    *], [* 494, -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:=
[* 1479,
    [ [* 205,
        a^4
    *], [* 88,
        a^7
    *], [* 494, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1479,
    [ [* 205,
        a^2
    *], [* 88, -1 *], [* 494, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1479,
    [ [* 205,
        a
    *], [* 88, 1 *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a^4
    *], [* 88,
        a
    *], [* 494, -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:=
[* 1479,
    [ [* 205,
        a^2
    *], [* 88,
        a
    *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a^4
    *], [* 88,
        a^3
    *], [* 494, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1479,
    [ [* 205,
        a
    *], [* 88,
        a
    *], [* 494, 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:=
[* 1479,
    [ [* 205,
        a^2
    *], [* 88,
        a^3
    *], [* 494, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1479,
    [ [* 205,
        a
    *], [* 88, -1 *], [* 494, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1479,
    [ [* 205,
        a
    *], [* 88,
        -a
    *], [* 494, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1479,
    [ [* 205, -1 *], [* 88, 1 *], [* 494, -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:=
[* 1479,
    [ [* 205, -1 *], [* 88,
        a
    *], [* 494, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^8 + 1
);
eps_on_gens:=
[* 1479,
    [ [* 205, -1 *], [* 88,
        a^6
    *], [* 494, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^4 + 1
);
eps_on_gens:=
[* 1479,
    [ [* 205, -1 *], [* 88,
        a^6
    *], [* 494, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
18
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1479,
    [ [* 205, -1 *], [* 88, -1 *], [* 494, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1480,
    [ [* 1001, 1 *], [* 1111, -1 *], [* 297, 1 *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1480,
    [ [* 1001, 1 *], [* 1111, -1 *], [* 297, 1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001, 1 *], [* 1111, 1 *], [* 297,
        a
    *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001, 1 *], [* 1111, 1 *], [* 297,
        a
    *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1480,
    [ [* 1001, 1 *], [* 1111, -1 *], [* 297, -1 *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1480,
    [ [* 1001, 1 *], [* 1111, -1 *], [* 297, -1 *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, 1 *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, 1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297,
        a^9
    *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297,
        a^9
    *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, -1 *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, -1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297,
        -a^9
    *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297,
        -a^9
    *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297, 1 *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297, 1 *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a^2
    *], [* 1111, 1 *], [* 297,
        a^9
    *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a^2
    *], [* 1111, 1 *], [* 297,
        a^9
    *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297, -1 *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        1/657*(-76*a^10 + 415*a^8 - 1831*a^6 + 3140*a^4 - 4421*a^2 - 217)
    *], [* 1111, -1 *], [* 297, -1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, 1 *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, 1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297,
        a^3
    *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297,
        a^3
    *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, -1 *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, -1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297,
        -a^3
    *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297,
        -a^3
    *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a^2
    *], [* 1111, -1 *], [* 297, 1 *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a^2
    *], [* 1111, -1 *], [* 297, 1 *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a^4
    *], [* 1111, 1 *], [* 297,
        a^9
    *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a^4
    *], [* 1111, 1 *], [* 297,
        a^9
    *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a^2
    *], [* 1111, -1 *], [* 297, -1 *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a^2
    *], [* 1111, -1 *], [* 297, -1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297, 1 *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297, 1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a^2
    *], [* 1111, 1 *], [* 297,
        a^3
    *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a^2
    *], [* 1111, 1 *], [* 297,
        a^3
    *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297, -1 *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        -2*a^3 + 3*a^2 - 8*a + 4
    *], [* 1111, -1 *], [* 297, -1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, 1 *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, 1 *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297,
        a
    *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a^2
    *], [* 1111, -1 *], [* 297,
        a^2
    *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, -1 *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, 1 *], [* 297, -1 *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a
    *], [* 1111, -1 *], [* 297,
        -a
    *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a^2
    *], [* 1111, -1 *], [* 297,
        -a^2
    *], [* 741, -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:=
[* 1480,
    [ [* 1001,
        a - 1
    *], [* 1111, -1 *], [* 297, 1 *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a - 1
    *], [* 1111, -1 *], [* 297, 1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a^2 - 1
    *], [* 1111, 1 *], [* 297,
        a^3
    *], [* 741, 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 - 5*x^4 + 18*x^2 + 81
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        1/45*(2*a^6 - 5*a^4 - 10*a^2 + 36)
    *], [* 1111, 1 *], [* 297,
        1/270*(2*a^7 - 5*a^5 - 55*a^3 + 81*a)
    *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001,
        a - 1
    *], [* 1111, -1 *], [* 297, -1 *], [* 741, 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:=
[* 1480,
    [ [* 1001,
        a - 1
    *], [* 1111, -1 *], [* 297, -1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1480,
    [ [* 1001, -1 *], [* 1111, -1 *], [* 297, 1 *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1480,
    [ [* 1001, -1 *], [* 1111, -1 *], [* 297, 1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001, -1 *], [* 1111, 1 *], [* 297,
        a
    *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1480,
    [ [* 1001, -1 *], [* 1111, 1 *], [* 297,
        a
    *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1480,
    [ [* 1001, -1 *], [* 1111, -1 *], [* 297, -1 *], [* 741, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
14
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1480,
    [ [* 1001, -1 *], [* 1111, -1 *], [* 297, -1 *], [* 741, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^576 + x^572 - x^556 - x^552 + x^536 + x^532 - x^516 - x^512 + x^496 + x^492 - x^476 - x^472 + x^456 + x^452 - x^436 - x^432 - x^428 - x^424 + x^416 + 
    x^412 + x^408 + x^404 - x^396 - x^392 - x^388 - x^384 + x^376 + x^372 + x^368 + x^364 - x^356 - x^352 - x^348 - x^344 + x^336 + x^332 + x^328 + x^324 - 
    x^316 - x^312 - x^308 - x^304 + x^296 + x^292 + x^288 + x^284 + x^280 - x^272 - x^268 - x^264 - x^260 + x^252 + x^248 + x^244 + x^240 - x^232 - x^228 - 
    x^224 - x^220 + x^212 + x^208 + x^204 + x^200 - x^192 - x^188 - x^184 - x^180 + x^172 + x^168 + x^164 + x^160 - x^152 - x^148 - x^144 - x^140 + x^124 + 
    x^120 - x^104 - x^100 + x^84 + x^80 - x^64 - x^60 + x^44 + x^40 - x^24 - x^20 + x^4 + 1
);
eps_on_gens:=
[* 1481,
    [ [* 3,
        a
    *] ]
*]
;
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^136 - x^132 + x^128 - x^124 + x^120 - x^116 + x^112 - x^108 + x^104 - x^100 + x^96 - x^92 + x^88 - x^84 + x^80 - x^76 + x^72 - x^68 + x^64
    - x^60 + x^56 - x^52 + x^48 - x^44 + x^40 - x^36 + x^32 - x^28 + x^24 - x^20 + x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1481,
    [ [* 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^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1481,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1481,
    [ [* 3,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1482,
    [ [* 457, 1 *], [* 989, -1 *], [* 781, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a
    *], [* 989, 1 *], [* 781, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a
    *], [* 989, -1 *], [* 781, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a
    *], [* 989, 1 *], [* 781, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a - 1
    *], [* 989, -1 *], [* 781, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1482,
    [ [* 457, -1 *], [* 989, -1 *], [* 781, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457, 1 *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^3
    *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^3
    *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^9
    *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^3 - 1
    *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^9 - a^3
    *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457, -1 *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        -a^3
    *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        -a^3 + 1
    *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457, 1 *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^3
    *], [* 989, 1 *], [* 781,
        a^4
    *] ]
*]
;
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:=
[* 1482,
    [ [* 457,
        a^3
    *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^9
    *], [* 989, 1 *], [* 781,
        a^4
    *] ]
*]
;
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:=
[* 1482,
    [ [* 457,
        a^3 - 1
    *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^9 - a^3
    *], [* 989, 1 *], [* 781,
        a^4
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457, -1 *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        -a^3
    *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^6 - x^3 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        -a^3 + 1
    *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457, 1 *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a
    *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a
    *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^3
    *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a - 1
    *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^3 - a
    *], [* 989, -1 *], [* 781,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457, -1 *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        -a
    *], [* 989, 1 *], [* 781,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        -a + 1
    *], [* 989, 1 *], [* 781,
        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:=
[* 1482,
    [ [* 457, 1 *], [* 989, -1 *], [* 781,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a
    *], [* 989, 1 *], [* 781,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a
    *], [* 989, -1 *], [* 781,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^3
    *], [* 989, 1 *], [* 781,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a - 1
    *], [* 989, -1 *], [* 781,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a^3 - a
    *], [* 989, 1 *], [* 781,
        a^2 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457, -1 *], [* 989, -1 *], [* 781,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        -a
    *], [* 989, -1 *], [* 781,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        -a + 1
    *], [* 989, -1 *], [* 781,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1482,
    [ [* 457, 1 *], [* 989, 1 *], [* 781, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a
    *], [* 989, -1 *], [* 781, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a
    *], [* 989, 1 *], [* 781, -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:=
[* 1482,
    [ [* 457,
        a
    *], [* 989, -1 *], [* 781, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1482,
    [ [* 457,
        a - 1
    *], [* 989, 1 *], [* 781, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1482,
    [ [* 457, -1 *], [* 989, 1 *], [* 781, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^432 - x^431 + x^430 + x^419 - x^418 + x^417 + x^413 - x^412 + x^411 + x^400 - x^399 + x^398 - x^393 + x^392 - x^391 - x^380 + x^379 - x^378 - x^375 - 
    x^372 - x^362 - x^359 - x^356 + x^355 - x^353 + x^352 - x^343 + x^342 - x^340 + x^339 + x^336 + x^333 + x^323 + x^320 + x^318 + x^314 - x^313 + x^305 + 
    x^301 - x^300 + x^299 - x^298 - x^294 + x^286 - x^285 - x^281 - x^279 - x^275 + x^274 - x^266 - x^262 + x^255 - x^248 + x^241 + x^236 - x^235 - x^229 + 
    x^228 + x^223 - x^216 + x^209 + x^204 - x^203 - x^197 + x^196 + x^191 - x^184 + x^177 - x^170 - x^166 + x^158 - x^157 - x^153 - x^151 - x^147 + x^146 - 
    x^138 - x^134 + x^133 - x^132 + x^131 + x^127 - x^119 + x^118 + x^114 + x^112 + x^109 + x^99 + x^96 + x^93 - x^92 + x^90 - x^89 + x^80 - x^79 + x^77 - 
    x^76 - x^73 - x^70 - x^60 - x^57 - x^54 + x^53 - x^52 - x^41 + x^40 - x^39 + x^34 - x^33 + x^32 + x^21 - x^20 + x^19 + x^15 - x^14 + x^13 + x^2 - x + 1
);
eps_on_gens:=
[* 1483,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^216 + x^215 - x^203 - x^202 - x^197 - x^196 + x^190 + x^189 + x^184 + x^183 + x^178 - x^176 - x^171 - x^170 - x^165 + x^163 - x^159 + x^157 + x^152 - 
    x^150 + x^146 - x^144 + x^140 + x^137 - x^133 + x^131 - x^127 - x^124 - x^121 - x^118 + x^114 + x^111 + x^108 + x^105 + x^102 - x^98 - x^95 - x^92 - 
    x^89 + x^85 - x^83 + x^79 + x^76 - x^72 + x^70 - x^66 + x^64 + x^59 - x^57 + x^53 - x^51 - x^46 - x^45 - x^40 + x^38 + x^33 + x^32 + x^27 + x^26 - x^20 
    - x^19 - x^14 - x^13 + x + 1
);
eps_on_gens:=
[* 1483,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^36 + x^35 - x^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:=
[* 1483,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^21 - x^20 + x^18 + x^17 - x^15 - x^14 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1483,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^18 - x^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:=
[* 1483,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1483,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1483,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1483,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1484,
    [ [* 213, 1 *], [* 1009, 1 *], [* 743, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1484,
    [ [* 213,
        a
    *], [* 1009, 1 *], [* 743, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1484,
    [ [* 213,
        a - 1
    *], [* 1009, 1 *], [* 743, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1484,
    [ [* 213, -1 *], [* 1009, 1 *], [* 743, 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:=
[* 1484,
    [ [* 213, 1 *], [* 1009,
        a
    *], [* 743, 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:=
[* 1484,
    [ [* 213,
        a^26
    *], [* 1009,
        a^3
    *], [* 743, -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:=
[* 1484,
    [ [* 213,
        a^26 - 1
    *], [* 1009,
        a^3
    *], [* 743, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
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:=
[* 1484,
    [ [* 213, -1 *], [* 1009,
        a
    *], [* 743, -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:=
[* 1484,
    [ [* 213, 1 *], [* 1009,
        a
    *], [* 743, -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:=
[* 1484,
    [ [* 213,
        a^13
    *], [* 1009,
        a^3
    *], [* 743, 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:=
[* 1484,
    [ [* 213,
        a^13 - 1
    *], [* 1009,
        a^3
    *], [* 743, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1484,
    [ [* 213, -1 *], [* 1009,
        a
    *], [* 743, 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:=
[* 1484,
    [ [* 213, 1 *], [* 1009,
        a^2
    *], [* 743, -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:=
[* 1484,
    [ [* 213,
        a^13
    *], [* 1009,
        a^6
    *], [* 743, 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:=
[* 1484,
    [ [* 213,
        a^13 - 1
    *], [* 1009,
        a^6
    *], [* 743, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
3
;
C<a>:=NumberField(
x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1484,
    [ [* 213, -1 *], [* 1009,
        a^2
    *], [* 743, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1484,
    [ [* 213, 1 *], [* 1009,
        a
    *], [* 743, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1484,
    [ [* 213,
        a^2
    *], [* 1009,
        a^3
    *], [* 743, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1484,
    [ [* 213,
        a^2 - 1
    *], [* 1009,
        a^3
    *], [* 743, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1484,
    [ [* 213, -1 *], [* 1009,
        a^2
    *], [* 743, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1484,
    [ [* 213, 1 *], [* 1009, -1 *], [* 743, -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:=
[* 1484,
    [ [* 213,
        a
    *], [* 1009, -1 *], [* 743, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1484,
    [ [* 213,
        a - 1
    *], [* 1009, -1 *], [* 743, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
8
;
dim_old:=
9
;
C:=Rationals();
eps_on_gens:=
[* 1484,
    [ [* 213, -1 *], [* 1009, -1 *], [* 743, 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:=
[* 1485,
    [ [* 56,
        a
    *], [* 892, 1 *], [* 541, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56,
        a
    *], [* 892, 1 *], [* 541, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1485,
    [ [* 56, -1 *], [* 892, 1 *], [* 541, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56, 1 *], [* 892,
        a
    *], [* 541, 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:=
[* 1485,
    [ [* 56,
        a^4
    *], [* 892,
        a^9
    *], [* 541, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56,
        a^2 - 1
    *], [* 892,
        a^3
    *], [* 541, 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:=
[* 1485,
    [ [* 56,
        a
    *], [* 892, -1 *], [* 541, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56,
        a
    *], [* 892, -1 *], [* 541, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1485,
    [ [* 56, -1 *], [* 892, -1 *], [* 541, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56, 1 *], [* 892, 1 *], [* 541,
        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:=
[* 1485,
    [ [* 56,
        a^10
    *], [* 892, 1 *], [* 541,
        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:=
[* 1485,
    [ [* 56,
        a^5 - 1
    *], [* 892, 1 *], [* 541,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 + x^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56,
        a^10
    *], [* 892,
        a^45
    *], [* 541,
        a^18
    *] ]
*]
;
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:=
[* 1485,
    [ [* 56,
        a^10
    *], [* 892,
        a^15
    *], [* 541,
        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:=
[* 1485,
    [ [* 56, -1 *], [* 892,
        a^5
    *], [* 541,
        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:=
[* 1485,
    [ [* 56, 1 *], [* 892, -1 *], [* 541,
        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:=
[* 1485,
    [ [* 56,
        a^10
    *], [* 892, -1 *], [* 541,
        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:=
[* 1485,
    [ [* 56,
        a^5 - 1
    *], [* 892, -1 *], [* 541,
        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:=
[* 1485,
    [ [* 56,
        a^5
    *], [* 892, 1 *], [* 541,
        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:=
[* 1485,
    [ [* 56,
        a^5
    *], [* 892, 1 *], [* 541,
        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:=
[* 1485,
    [ [* 56, -1 *], [* 892, 1 *], [* 541,
        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:=
[* 1485,
    [ [* 56, 1 *], [* 892,
        a^5
    *], [* 541,
        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^42 - x^30 - x^24 - x^18 + x^6 + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56,
        a^20
    *], [* 892,
        a^45
    *], [* 541,
        a^36
    *] ]
*]
;
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:=
[* 1485,
    [ [* 56,
        a^10 - 1
    *], [* 892,
        a^15
    *], [* 541,
        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^21 - x^15 - x^12 - x^9 + x^3 + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56,
        a^5
    *], [* 892, -1 *], [* 541,
        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:=
[* 1485,
    [ [* 56,
        a^5
    *], [* 892, -1 *], [* 541,
        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:=
[* 1485,
    [ [* 56, -1 *], [* 892, -1 *], [* 541,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1485,
    [ [* 56, 1 *], [* 892, 1 *], [* 541, -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:=
[* 1485,
    [ [* 56,
        a^2
    *], [* 892, 1 *], [* 541, -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:=
[* 1485,
    [ [* 56,
        a - 1
    *], [* 892, 1 *], [* 541, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^12 - x^6 + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56,
        a^2
    *], [* 892,
        a^9
    *], [* 541, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56,
        a^2
    *], [* 892,
        a^3
    *], [* 541, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 + 6*x^2 + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56, -1 *], [* 892,
        1/2*(-a^3 - 5*a)
    *], [* 541, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
14
;
C:=Rationals();
eps_on_gens:=
[* 1485,
    [ [* 56, 1 *], [* 892, -1 *], [* 541, -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:=
[* 1485,
    [ [* 56,
        a^2
    *], [* 892, -1 *], [* 541, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
4
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1485,
    [ [* 56,
        a - 1
    *], [* 892, -1 *], [* 541, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^312 + x^311 - x^305 - x^304 + x^298 + x^297 - x^291 - x^290 + x^284 + x^283 - x^277 - x^276 + x^270 + x^269 - x^263 - x^262 - x^259 - x^258 + x^256 + 
    x^255 + x^252 + x^251 - x^249 - x^248 - x^245 - x^244 + x^242 + x^241 + x^238 + x^237 - x^235 - x^234 - x^231 - x^230 + x^228 + x^227 + x^224 + x^223 - 
    x^221 - x^220 - x^217 - x^216 + x^214 + x^213 + x^210 + x^209 - x^207 + x^205 - x^203 - x^202 + x^200 - x^198 + x^196 + x^195 - x^193 + x^191 - x^189 - 
    x^188 + x^186 - x^184 + x^182 + x^181 - x^179 + x^177 - x^175 - x^174 + x^172 - x^170 + x^168 + x^167 - x^165 + x^163 - x^161 - x^160 + x^158 - x^156 + 
    x^154 - x^152 - x^151 + x^149 - x^147 + x^145 + x^144 - x^142 + x^140 - x^138 - x^137 + x^135 - x^133 + x^131 + x^130 - x^128 + x^126 - x^124 - x^123 + 
    x^121 - x^119 + x^117 + x^116 - x^114 + x^112 - x^110 - x^109 + x^107 - x^105 + x^103 + x^102 + x^99 + x^98 - x^96 - x^95 - x^92 - x^91 + x^89 + x^88 + 
    x^85 + x^84 - x^82 - x^81 - x^78 - x^77 + x^75 + x^74 + x^71 + x^70 - x^68 - x^67 - x^64 - x^63 + x^61 + x^60 + x^57 + x^56 - x^54 - x^53 - x^50 - x^49 
    + x^43 + x^42 - x^36 - x^35 + x^29 + x^28 - x^22 - x^21 + x^15 + x^14 - x^8 - x^7 + x + 1
);
eps_on_gens:=
[* 1486,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + 
    x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 +
    x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1486,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1486,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 1486,
    [ [* 5, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^742 - x^741 + x^740 - x^739 + x^738 - x^737 + x^736 - x^735 + x^734 - x^733 + x^732 - x^731 + x^730 - x^729 + x^728 - x^727 + x^726 - x^725 + x^724 - 
    x^723 + x^722 - x^721 + x^720 - x^719 + x^718 - x^717 + x^716 - x^715 + x^714 - x^713 + x^712 - x^711 + x^710 - x^709 + x^708 - x^707 + x^706 - x^705 + 
    x^704 - x^703 + x^702 - x^701 + x^700 - x^699 + x^698 - x^697 + x^696 - x^695 + x^694 - x^693 + x^692 - x^691 + x^690 - x^689 + x^688 - x^687 + x^686 - 
    x^685 + x^684 - x^683 + 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:=
[* 1487,
    [ [* 5,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
18
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1487,
    [ [* 5, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057, 1 *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a
    *], [* 1057, 1 *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057, 1 *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057, 1 *], [* 559, 1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a
    *], [* 1057, 1 *], [* 559, 1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057, 1 *], [* 559, 1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a
    *], [* 559, 1 *], [* 497, 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:=
[* 1488,
    [ [* 373,
        a^15
    *], [* 1057,
        a^2
    *], [* 559, 1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a
    *], [* 559, 1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a
    *], [* 559, -1 *], [* 497, -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:=
[* 1488,
    [ [* 373,
        a^15
    *], [* 1057,
        a^2
    *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a
    *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a^2
    *], [* 559, -1 *], [* 497, 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:=
[* 1488,
    [ [* 373,
        a^15
    *], [* 1057,
        a^4
    *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a^2
    *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
3
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a^2
    *], [* 559, 1 *], [* 497, -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:=
[* 1488,
    [ [* 373,
        a^15
    *], [* 1057,
        a^4
    *], [* 559, 1 *], [* 497, -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:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a^2
    *], [* 559, 1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a
    *], [* 559, 1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a^5
    *], [* 1057,
        a^2
    *], [* 559, 1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a
    *], [* 559, 1 *], [* 497, 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:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a
    *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a^5
    *], [* 1057,
        a^2
    *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a
    *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a
    *], [* 559, 1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a^3
    *], [* 1057,
        a^2
    *], [* 559, 1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a
    *], [* 559, 1 *], [* 497, 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:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a
    *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a^3
    *], [* 1057,
        a^2
    *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a
    *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a^2
    *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a^5
    *], [* 1057,
        a^4
    *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a^2
    *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
dim_old:=
5
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a^2
    *], [* 559, 1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a^5
    *], [* 1057,
        a^4
    *], [* 559, 1 *], [* 497, -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:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a^2
    *], [* 559, 1 *], [* 497, -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:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        a - 1
    *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a^3
    *], [* 1057,
        a^2 - 1
    *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a - 1
    *], [* 559, -1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
3
;
dim_old:=
7
;
C<a>:=NumberField(
x^4 - 2*x^3 + 7*x^2 - 6*x + 3
);
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057,
        1/5*(-2*a^3 + 3*a^2 - 10*a + 2)
    *], [* 559, 1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - 2*x^6 + 4*x^5 + 5*x^4 + 8*x^3 + 12*x^2 - 4*x + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        1/63*(-22*a^7 - 2*a^6 + 40*a^5 - 71*a^4 - 126*a^3 - 197*a^2 - 238*a + 32)
    *], [* 1057,
        1/75*(-16*a^7 - 6*a^6 + 36*a^5 - 63*a^4 - 88*a^3 - 136*a^2 - 268*a + 1)
    *], [* 559, 1 *], [* 497, -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:=
[* 1488,
    [ [* 373, -1 *], [* 1057,
        a - 1
    *], [* 559, 1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057, -1 *], [* 559, 1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a
    *], [* 1057, -1 *], [* 559, 1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
20
;
C:=Rationals();
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057, -1 *], [* 559, 1 *], [* 497, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1488,
    [ [* 373, 1 *], [* 1057, -1 *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1488,
    [ [* 373,
        a
    *], [* 1057, -1 *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1488,
    [ [* 373, -1 *], [* 1057, -1 *], [* 559, -1 *], [* 497, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^480 + x^472 - x^456 - x^448 + x^432 + x^424 - x^408 - x^400 + x^384 + x^376 - x^360 - x^352 + x^336 + x^328 - x^312 - x^304 + x^288 + x^280 - x^264 - 
    x^256 + x^240 - x^224 - x^216 + x^200 + x^192 - x^176 - x^168 + x^152 + x^144 - x^128 - x^120 + x^104 + x^96 - x^80 - x^72 + x^56 + x^48 - x^32 - x^24 +
    x^8 + 1
);
eps_on_gens:=
[* 1489,
    [ [* 14,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^240 - x^232 + x^224 - x^216 + x^208 - x^200 + x^192 - x^184 + x^176 - x^168 + x^160 - x^152 + x^144 - x^136 + x^128 - x^120 + x^112 - x^104 + x^96 - x^88 
    + x^80 - x^72 + x^64 - x^56 + x^48 - x^40 + x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1489,
    [ [* 14,
        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:=
[* 1489,
    [ [* 14,
        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:=
[* 1489,
    [ [* 14,
        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:=
[* 1490,
    [ [* 151, 1 *], [* 597,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + 
    x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1490,
    [ [* 151,
        a
    *], [* 597, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + 
    x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1490,
    [ [* 151,
        a
    *], [* 597, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + 
    x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1490,
    [ [* 151,
        a^2
    *], [* 597,
        a^37
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + 
    x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1490,
    [ [* 151,
        a^4
    *], [* 597,
        a^37
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1490,
    [ [* 151,
        a
    *], [* 597, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1490,
    [ [* 151,
        a
    *], [* 597, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1490,
    [ [* 151, -1 *], [* 597,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1491,
    [ [* 1072, 1 *], [* 995, -1 *], [* 640, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072, 1 *], [* 995, 1 *], [* 640,
        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:=
[* 1491,
    [ [* 1072, 1 *], [* 995, -1 *], [* 640,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1491,
    [ [* 1072, 1 *], [* 995, 1 *], [* 640, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a
    *], [* 995, 1 *], [* 640, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a^3
    *], [* 995, -1 *], [* 640,
        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:=
[* 1491,
    [ [* 1072,
        a^3
    *], [* 995, 1 *], [* 640,
        a^35 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a
    *], [* 995, -1 *], [* 640, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a^2
    *], [* 995, -1 *], [* 640, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^48 - x^47 + x^46 + x^43 - x^42 + 2*x^41 - x^40 + x^39 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 - x^28 - x^26 - x^24 - x^22 - x^20 - x^17 + x^16 - x^15 + 
    x^14 - x^13 + x^12 + x^9 - x^8 + 2*x^7 - x^6 + x^5 + x^2 - x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a^6
    *], [* 995, 1 *], [* 640,
        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:=
[* 1491,
    [ [* 1072,
        a^6
    *], [* 995, -1 *], [* 640,
        a^35 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^24 + x^23 - x^19 - x^18 - x^17 - x^16 + x^14 + x^13 + x^12 + x^11 + x^10 - x^8 - x^7 - x^6 - x^5 + x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a^2
    *], [* 995, 1 *], [* 640, -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:=
[* 1491,
    [ [* 1072,
        a
    *], [* 995, 1 *], [* 640, 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:=
[* 1491,
    [ [* 1072,
        a^3
    *], [* 995, -1 *], [* 640,
        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:=
[* 1491,
    [ [* 1072,
        a^3
    *], [* 995, 1 *], [* 640,
        a^7 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a
    *], [* 995, -1 *], [* 640, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a
    *], [* 995, 1 *], [* 640, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a^3
    *], [* 995, -1 *], [* 640,
        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:=
[* 1491,
    [ [* 1072,
        a^3
    *], [* 995, 1 *], [* 640,
        a^5 - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a
    *], [* 995, -1 *], [* 640, -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:=
[* 1491,
    [ [* 1072,
        a^2
    *], [* 995, -1 *], [* 640, 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:=
[* 1491,
    [ [* 1072,
        a^6
    *], [* 995, 1 *], [* 640,
        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:=
[* 1491,
    [ [* 1072,
        a^6
    *], [* 995, -1 *], [* 640,
        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:=
[* 1491,
    [ [* 1072,
        a^2
    *], [* 995, 1 *], [* 640, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a^2
    *], [* 995, -1 *], [* 640, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + x^7 - x^5 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072,
        a^6
    *], [* 995, 1 *], [* 640,
        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:=
[* 1491,
    [ [* 1072,
        a^6
    *], [* 995, -1 *], [* 640,
        a^5 - 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:=
[* 1491,
    [ [* 1072,
        a^2
    *], [* 995, 1 *], [* 640, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
12
;
C:=Rationals();
eps_on_gens:=
[* 1491,
    [ [* 1072, -1 *], [* 995, 1 *], [* 640, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1491,
    [ [* 1072, -1 *], [* 995, -1 *], [* 640,
        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:=
[* 1491,
    [ [* 1072, -1 *], [* 995, 1 *], [* 640,
        a - 1
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1491,
    [ [* 1072, -1 *], [* 995, -1 *], [* 640, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1492,
    [ [* 1121, 1 *], [* 747, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^120 + x^118 - x^114 - x^112 + x^108 + x^106 - x^102 - x^100 + x^96 + x^94 - x^90 - x^88 + x^84 + x^82 - x^78 - x^76 + x^72 + x^70 - x^66 - x^64 + x^60 - 
    x^56 - x^54 + x^50 + x^48 - x^44 - x^42 + x^38 + x^36 - x^32 - x^30 + x^26 + x^24 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1492,
    [ [* 1121,
        a
    *], [* 747, 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^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:=
[* 1492,
    [ [* 1121,
        a
    *], [* 747, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^60 - x^58 + x^56 - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + 
    x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1492,
    [ [* 1121,
        a
    *], [* 747, 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^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:=
[* 1492,
    [ [* 1121,
        a^2
    *], [* 747, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8
    - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1492,
    [ [* 1121,
        a
    *], [* 747, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 1492,
    [ [* 1121,
        a^2
    *], [* 747, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1492,
    [ [* 1121,
        a
    *], [* 747, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1492,
    [ [* 1121,
        a
    *], [* 747, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1492,
    [ [* 1121,
        a
    *], [* 747, 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:=
[* 1492,
    [ [* 1121,
        a - 1
    *], [* 747, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
4
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1492,
    [ [* 1121, -1 *], [* 747, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^744 - x^742 + x^740 - x^738 + x^736 - x^734 + x^732 - x^730 + x^728 - x^726 + x^724 - x^722 + x^720 - x^718 + x^716 - x^714 + x^712 - x^710 + x^708 - 
    x^706 + x^704 - x^702 + x^700 - x^698 + x^696 - x^694 + x^692 - x^690 + x^688 - x^686 + x^684 - x^682 + x^680 - x^678 + x^676 - x^674 + x^672 - x^670 + 
    x^668 - x^666 + x^664 - x^662 + x^660 - x^658 + x^656 - x^654 + x^652 - x^650 + x^648 - x^646 + x^644 - x^642 + x^640 - x^638 + x^636 - x^634 + x^632 - 
    x^630 + x^628 - x^626 + x^624 - x^622 + x^620 - x^618 + x^616 - x^614 + x^612 - x^610 + x^608 - x^606 + x^604 - x^602 + x^600 - x^598 + x^596 - x^594 + 
    x^592 - x^590 + x^588 - x^586 + x^584 - x^582 + x^580 - x^578 + x^576 - x^574 + x^572 - x^570 + x^568 - x^566 + x^564 - x^562 + x^560 - x^558 + x^556 - 
    x^554 + x^552 - x^550 + x^548 - x^546 + x^544 - x^542 + x^540 - x^538 + x^536 - x^534 + x^532 - x^530 + x^528 - x^526 + x^524 - x^522 + x^520 - x^518 + 
    x^516 - x^514 + x^512 - x^510 + x^508 - x^506 + x^504 - x^502 + x^500 - x^498 + x^496 - x^494 + x^492 - x^490 + x^488 - x^486 + x^484 - x^482 + x^480 - 
    x^478 + x^476 - x^474 + x^472 - x^470 + x^468 - x^466 + x^464 - x^462 + x^460 - x^458 + x^456 - x^454 + x^452 - x^450 + x^448 - x^446 + x^444 - x^442 + 
    x^440 - x^438 + x^436 - x^434 + x^432 - x^430 + x^428 - x^426 + x^424 - x^422 + x^420 - x^418 + x^416 - x^414 + x^412 - x^410 + x^408 - x^406 + x^404 - 
    x^402 + x^400 - x^398 + x^396 - x^394 + x^392 - x^390 + x^388 - x^386 + x^384 - x^382 + x^380 - x^378 + x^376 - x^374 + x^372 - x^370 + x^368 - x^366 + 
    x^364 - x^362 + x^360 - x^358 + x^356 - x^354 + x^352 - x^350 + x^348 - x^346 + x^344 - x^342 + x^340 - x^338 + x^336 - x^334 + x^332 - x^330 + x^328 - 
    x^326 + x^324 - x^322 + x^320 - x^318 + x^316 - x^314 + x^312 - x^310 + x^308 - x^306 + x^304 - x^302 + x^300 - x^298 + x^296 - x^294 + x^292 - x^290 + 
    x^288 - x^286 + x^284 - x^282 + x^280 - x^278 + x^276 - x^274 + x^272 - x^270 + x^268 - x^266 + x^264 - x^262 + x^260 - x^258 + x^256 - x^254 + x^252 - 
    x^250 + x^248 - x^246 + x^244 - x^242 + x^240 - x^238 + x^236 - x^234 + x^232 - x^230 + x^228 - x^226 + x^224 - x^222 + x^220 - x^218 + x^216 - x^214 + 
    x^212 - x^210 + x^208 - x^206 + x^204 - x^202 + x^200 - x^198 + x^196 - x^194 + x^192 - x^190 + x^188 - x^186 + x^184 - x^182 + x^180 - x^178 + x^176 - 
    x^174 + x^172 - x^170 + x^168 - x^166 + x^164 - x^162 + x^160 - x^158 + x^156 - x^154 + x^152 - x^150 + x^148 - x^146 + x^144 - x^142 + x^140 - x^138 + 
    x^136 - x^134 + x^132 - x^130 + x^128 - x^126 + x^124 - x^122 + x^120 - x^118 + x^116 - x^114 + x^112 - x^110 + x^108 - x^106 + x^104 - x^102 + x^100 - 
    x^98 + x^96 - x^94 + x^92 - x^90 + x^88 - x^86 + x^84 - x^82 + x^80 - x^78 + x^76 - x^74 + x^72 - x^70 + x^68 - x^66 + x^64 - x^62 + x^60 - x^58 + x^56 
    - x^54 + x^52 - x^50 + x^48 - x^46 + x^44 - x^42 + x^40 - x^38 + x^36 - x^34 + x^32 - x^30 + x^28 - x^26 + x^24 - x^22 + x^20 - x^18 + x^16 - x^14 + 
    x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1493,
    [ [* 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:=
[* 1493,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1494,
    [ [* 1163,
        a
    *], [* 1081, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1494,
    [ [* 1163, -1 *], [* 1081, 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:=
[* 1494,
    [ [* 1163, 1 *], [* 1081,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^79 - x^77 - x^76 + x^74 + x^73 - x^71 - x^70 + x^68 + x^67 - x^65 - x^64 + x^62 + x^61 - x^59 - x^58 + x^56 + x^55 - x^53 - x^52 + x^50 + x^49 - 
    x^47 - x^46 + x^44 + x^43 - x^41 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 
    - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1494,
    [ [* 1163,
        a^41 - 1
    *], [* 1081,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^80 + x^79 - x^77 - x^76 + x^74 + x^73 - x^71 - x^70 + x^68 + x^67 - x^65 - x^64 + x^62 + x^61 - x^59 - x^58 + x^56 + x^55 - x^53 - x^52 + x^50 + x^49 - 
    x^47 - x^46 + x^44 + x^43 - x^41 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 
    - x^15 + x^13 + x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1494,
    [ [* 1163,
        a^41
    *], [* 1081,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + 
    x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1494,
    [ [* 1163, -1 *], [* 1081,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1494,
    [ [* 1163, 1 *], [* 1081, -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:=
[* 1494,
    [ [* 1163,
        a - 1
    *], [* 1081, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691, 1 *], [* 1431, 1 *], [* 1197,
        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:=
[* 1495,
    [ [* 691,
        a
    *], [* 1431, 1 *], [* 1197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a
    *], [* 1431, 1 *], [* 1197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a^2
    *], [* 1431, 1 *], [* 1197,
        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:=
[* 1495,
    [ [* 691,
        a
    *], [* 1431, 1 *], [* 1197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a
    *], [* 1431, 1 *], [* 1197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a^2 - 1
    *], [* 1431, 1 *], [* 1197,
        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:=
[* 1495,
    [ [* 691, -1 *], [* 1431, 1 *], [* 1197,
        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:=
[* 1495,
    [ [* 691, 1 *], [* 1431,
        a
    *], [* 1197, 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:=
[* 1495,
    [ [* 691, 1 *], [* 1431,
        a
    *], [* 1197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^38 - x^34 - x^32 + x^28 + x^26 - x^22 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a^11
    *], [* 1431,
        a^6
    *], [* 1197,
        a^33
    *] ]
*]
;
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:=
[* 1495,
    [ [* 691,
        a^11
    *], [* 1431,
        a^6
    *], [* 1197,
        -a^33
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 + x^19 - x^17 - x^16 + x^14 + x^13 - x^11 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a^11
    *], [* 1431,
        a^3
    *], [* 1197, 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:=
[* 1495,
    [ [* 691,
        a^11
    *], [* 1431,
        a^3
    *], [* 1197, -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:=
[* 1495,
    [ [* 691,
        a^11
    *], [* 1431,
        a^2
    *], [* 1197,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a^11
    *], [* 1431,
        a^2
    *], [* 1197,
        -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:=
[* 1495,
    [ [* 691,
        a^11 - 1
    *], [* 1431,
        a^3
    *], [* 1197, 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:=
[* 1495,
    [ [* 691,
        a^11 - 1
    *], [* 1431,
        a^3
    *], [* 1197, -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:=
[* 1495,
    [ [* 691, -1 *], [* 1431,
        a
    *], [* 1197, 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:=
[* 1495,
    [ [* 691, -1 *], [* 1431,
        a
    *], [* 1197, -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:=
[* 1495,
    [ [* 691, 1 *], [* 1431,
        a^4
    *], [* 1197,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^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:=
[* 1495,
    [ [* 691,
        a^11
    *], [* 1431,
        a^12
    *], [* 1197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^38 - x^34 - x^32 + x^28 + x^26 - x^22 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a^11
    *], [* 1431,
        a^12
    *], [* 1197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^38 - x^34 - x^32 + x^28 + x^26 - x^22 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a^22
    *], [* 1431,
        a^12
    *], [* 1197,
        a^33
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a^11
    *], [* 1431,
        a^4
    *], [* 1197, 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:=
[* 1495,
    [ [* 691,
        a^11
    *], [* 1431,
        a^4
    *], [* 1197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 + x^38 - x^34 - x^32 + x^28 + x^26 - x^22 - x^20 - x^18 + x^14 + x^12 - x^8 - x^6 + x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a^22 - 1
    *], [* 1431,
        a^12
    *], [* 1197,
        a^33
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^18 + x^16 - x^14 + x^12 - x^10 + x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691, -1 *], [* 1431,
        a^4
    *], [* 1197,
        a^11
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1495,
    [ [* 691, 1 *], [* 1431, -1 *], [* 1197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1495,
    [ [* 691, 1 *], [* 1431, -1 *], [* 1197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a
    *], [* 1431, -1 *], [* 1197,
        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:=
[* 1495,
    [ [* 691,
        a
    *], [* 1431, -1 *], [* 1197,
        -a^3
    *] ]
*]
;
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:=
[* 1495,
    [ [* 691,
        a
    *], [* 1431, -1 *], [* 1197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a
    *], [* 1431, -1 *], [* 1197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a
    *], [* 1431, -1 *], [* 1197,
        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:=
[* 1495,
    [ [* 691,
        a
    *], [* 1431, -1 *], [* 1197,
        -a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a - 1
    *], [* 1431, -1 *], [* 1197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1495,
    [ [* 691,
        a - 1
    *], [* 1431, -1 *], [* 1197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
10
;
C:=Rationals();
eps_on_gens:=
[* 1495,
    [ [* 691, -1 *], [* 1431, -1 *], [* 1197, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
16
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1495,
    [ [* 691, -1 *], [* 1431, -1 *], [* 1197, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409, 1 *], [* 1057, 1 *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409, 1 *], [* 1057, 1 *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409,
        a
    *], [* 1057, 1 *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409,
        a
    *], [* 1057, 1 *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409,
        a^2
    *], [* 1057, 1 *], [* 749, 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:=
[* 1496,
    [ [* 375, -1 *], [* 409,
        a^2
    *], [* 1057, 1 *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409, -1 *], [* 1057, 1 *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409, -1 *], [* 1057, 1 *], [* 749, -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:=
[* 1496,
    [ [* 375, 1 *], [* 409, 1 *], [* 1057,
        a
    *], [* 749, 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:=
[* 1496,
    [ [* 375, 1 *], [* 409, 1 *], [* 1057,
        a
    *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409,
        a^8
    *], [* 1057,
        a^5
    *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409,
        a^8
    *], [* 1057,
        a^5
    *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409,
        a^16
    *], [* 1057,
        a^5
    *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^32 - x^24 + x^16 - x^8 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409,
        a^16
    *], [* 1057,
        a^5
    *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409, -1 *], [* 1057,
        a
    *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409, -1 *], [* 1057,
        a
    *], [* 749, -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:=
[* 1496,
    [ [* 375, -1 *], [* 409, 1 *], [* 1057,
        a
    *], [* 749, 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:=
[* 1496,
    [ [* 375, -1 *], [* 409, 1 *], [* 1057,
        a
    *], [* 749, -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:=
[* 1496,
    [ [* 375, 1 *], [* 409,
        a^4
    *], [* 1057,
        a^5
    *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409,
        a^4
    *], [* 1057,
        a^5
    *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409,
        a^8
    *], [* 1057,
        a^5
    *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
2
;
dim_old:=
0
;
C<a>:=NumberField(
x^16 - x^12 + x^8 - x^4 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409,
        a^8
    *], [* 1057,
        a^5
    *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409, -1 *], [* 1057,
        a
    *], [* 749, 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:=
[* 1496,
    [ [* 375, 1 *], [* 409, -1 *], [* 1057,
        a
    *], [* 749, -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:=
[* 1496,
    [ [* 375, -1 *], [* 409, 1 *], [* 1057,
        a
    *], [* 749, 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:=
[* 1496,
    [ [* 375, -1 *], [* 409, 1 *], [* 1057,
        a
    *], [* 749, -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:=
[* 1496,
    [ [* 375, 1 *], [* 409,
        a^2
    *], [* 1057,
        a^5
    *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409,
        a^2
    *], [* 1057,
        a^5
    *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409,
        a^4
    *], [* 1057,
        a^5
    *], [* 749, 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:=
[* 1496,
    [ [* 375, -1 *], [* 409,
        a^4
    *], [* 1057,
        a^5
    *], [* 749, -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:=
[* 1496,
    [ [* 375, 1 *], [* 409, -1 *], [* 1057,
        a
    *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409, -1 *], [* 1057,
        a
    *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409, 1 *], [* 1057, -1 *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1496,
    [ [* 375, -1 *], [* 409, 1 *], [* 1057, -1 *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409,
        a
    *], [* 1057, -1 *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409,
        a
    *], [* 1057, -1 *], [* 749, -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:=
[* 1496,
    [ [* 375, -1 *], [* 409,
        a^2
    *], [* 1057, -1 *], [* 749, 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:=
[* 1496,
    [ [* 375, -1 *], [* 409,
        a^2
    *], [* 1057, -1 *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409, -1 *], [* 1057, -1 *], [* 749, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
12
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1496,
    [ [* 375, 1 *], [* 409, -1 *], [* 1057, -1 *], [* 749, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1497,
    [ [* 7, 1 *], [* 500, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^164 + x^163 - x^161 - x^160 + x^158 + x^157 - x^155 - x^154 + x^152 + x^151 - x^149 - x^148 + x^146 + x^145 - x^143 - x^142 + x^140 + x^139 - x^137 - 
    x^136 + x^134 + x^133 - x^131 - x^130 + x^128 + x^127 - x^125 - x^124 + x^122 + x^121 - x^119 - x^118 + x^116 + x^115 - x^113 - x^112 + x^110 + x^109 - 
    x^107 - x^106 + x^104 + x^103 - x^101 - x^100 + x^98 + x^97 - x^95 - x^94 + x^92 + x^91 - x^89 - x^88 + x^86 + x^85 - x^83 - x^82 - x^81 + x^79 + x^78 -
    x^76 - x^75 + x^73 + x^72 - x^70 - x^69 + x^67 + x^66 - x^64 - x^63 + x^61 + x^60 - x^58 - x^57 + x^55 + x^54 - x^52 - x^51 + x^49 + x^48 - x^46 - x^45 
    + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + 
    x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1497,
    [ [* 7,
        a
    *], [* 500, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^164 + x^163 - x^161 - x^160 + x^158 + x^157 - x^155 - x^154 + x^152 + x^151 - x^149 - x^148 + x^146 + x^145 - x^143 - x^142 + x^140 + x^139 - x^137 - 
    x^136 + x^134 + x^133 - x^131 - x^130 + x^128 + x^127 - x^125 - x^124 + x^122 + x^121 - x^119 - x^118 + x^116 + x^115 - x^113 - x^112 + x^110 + x^109 - 
    x^107 - x^106 + x^104 + x^103 - x^101 - x^100 + x^98 + x^97 - x^95 - x^94 + x^92 + x^91 - x^89 - x^88 + x^86 + x^85 - x^83 - x^82 - x^81 + x^79 + x^78 -
    x^76 - x^75 + x^73 + x^72 - x^70 - x^69 + x^67 + x^66 - x^64 - x^63 + x^61 + x^60 - x^58 - x^57 + x^55 + x^54 - x^52 - x^51 + x^49 + x^48 - x^46 - x^45 
    + x^43 + x^42 - x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + 
    x^12 - x^10 - x^9 + x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1497,
    [ [* 7,
        a^2
    *], [* 500, -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:=
[* 1497,
    [ [* 7,
        a
    *], [* 500, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
1
;
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:=
[* 1497,
    [ [* 7,
        a^2
    *], [* 500, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1497,
    [ [* 7,
        a
    *], [* 500, 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:=
[* 1497,
    [ [* 7,
        a^2 - 1
    *], [* 500, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C:=Rationals();
eps_on_gens:=
[* 1497,
    [ [* 7, -1 *], [* 500, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1498,
    [ [* 857,
        a
    *], [* 323, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1498,
    [ [* 857, -1 *], [* 323, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + 
    x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 +
    x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1498,
    [ [* 857, 1 *], [* 323,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^104 + x^103 - x^101 - x^100 + x^98 + x^97 - x^95 - x^94 + x^92 + x^91 - x^89 - x^88 + x^86 + x^85 - x^83 - x^82 + x^80 + x^79 - x^77 - x^76 + x^74 + x^73 
    - x^71 - x^70 + x^68 + x^67 - x^65 - x^64 + x^62 + x^61 - x^59 - x^58 + x^56 + x^55 - x^53 - x^52 - x^51 + x^49 + x^48 - x^46 - x^45 + x^43 + x^42 - 
    x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 +
    x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1498,
    [ [* 857,
        a^53 - 1
    *], [* 323,
        a^3
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^104 + x^103 - x^101 - x^100 + x^98 + x^97 - x^95 - x^94 + x^92 + x^91 - x^89 - x^88 + x^86 + x^85 - x^83 - x^82 + x^80 + x^79 - x^77 - x^76 + x^74 + x^73 
    - x^71 - x^70 + x^68 + x^67 - x^65 - x^64 + x^62 + x^61 - x^59 - x^58 + x^56 + x^55 - x^53 - x^52 - x^51 + x^49 + x^48 - x^46 - x^45 + x^43 + x^42 - 
    x^40 - x^39 + x^37 + x^36 - x^34 - x^33 + x^31 + x^30 - x^28 - x^27 + x^25 + x^24 - x^22 - x^21 + x^19 + x^18 - x^16 - x^15 + x^13 + x^12 - x^10 - x^9 +
    x^7 + x^6 - x^4 - x^3 + x + 1
);
eps_on_gens:=
[* 1498,
    [ [* 857,
        a^53
    *], [* 323,
        a^6
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
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:=
[* 1498,
    [ [* 857, -1 *], [* 323,
        a^2
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C:=Rationals();
eps_on_gens:=
[* 1498,
    [ [* 857, 1 *], [* 323, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 - x + 1
);
eps_on_gens:=
[* 1498,
    [ [* 857,
        a - 1
    *], [* 323, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^636 + x^635 - x^629 - x^628 + x^622 + x^621 - x^615 - x^614 + x^608 + x^607 - x^601 - x^600 + x^594 + x^593 - x^587 - x^586 + x^580 + x^579 - x^573 - 
    x^572 + x^566 + x^565 - x^559 - x^558 + x^552 + x^551 - x^545 - x^544 + x^538 + x^537 - x^531 - x^530 - x^529 - x^528 + x^524 + x^523 + x^522 + x^521 - 
    x^517 - x^516 - x^515 - x^514 + x^510 + x^509 + x^508 + x^507 - x^503 - x^502 - x^501 - x^500 + x^496 + x^495 + x^494 + x^493 - x^489 - x^488 - x^487 - 
    x^486 + x^482 + x^481 + x^480 + x^479 - x^475 - x^474 - x^473 - x^472 + x^468 + x^467 + x^466 + x^465 - x^461 - x^460 - x^459 - x^458 + x^454 + x^453 + 
    x^452 + x^451 - x^447 - x^446 - x^445 - x^444 + x^440 + x^439 + x^438 + x^437 - x^433 - x^432 - x^431 - x^430 + x^426 + x^425 + x^424 + x^423 + x^422 + 
    x^421 - x^419 - x^418 - x^417 - x^416 - x^415 - x^414 + x^412 + x^411 + x^410 + x^409 + x^408 + x^407 - x^405 - x^404 - x^403 - x^402 - x^401 - x^400 + 
    x^398 + x^397 + x^396 + x^395 + x^394 + x^393 - x^391 - x^390 - x^389 - x^388 - x^387 - x^386 + x^384 + x^383 + x^382 + x^381 + x^380 + x^379 - x^377 - 
    x^376 - x^375 - x^374 - x^373 - x^372 + x^370 + x^369 + x^368 + x^367 + x^366 + x^365 - x^363 - x^362 - x^361 - x^360 - x^359 - x^358 + x^356 + x^355 + 
    x^354 + x^353 + x^352 + x^351 - x^349 - x^348 - x^347 - x^346 - x^345 - x^344 + x^342 + x^341 + x^340 + x^339 + x^338 + x^337 - x^335 - x^334 - x^333 - 
    x^332 - x^331 - x^330 + x^328 + x^327 + x^326 + x^325 + x^324 + x^323 - x^321 - x^320 - x^319 - x^318 - x^317 - x^316 - x^315 + x^313 + x^312 + x^311 + 
    x^310 + x^309 + x^308 - x^306 - x^305 - x^304 - x^303 - x^302 - x^301 + x^299 + x^298 + x^297 + x^296 + x^295 + x^294 - x^292 - x^291 - x^290 - x^289 - 
    x^288 - x^287 + x^285 + x^284 + x^283 + x^282 + x^281 + x^280 - x^278 - x^277 - x^276 - x^275 - x^274 - x^273 + x^271 + x^270 + x^269 + x^268 + x^267 + 
    x^266 - x^264 - x^263 - x^262 - x^261 - x^260 - x^259 + x^257 + x^256 + x^255 + x^254 + x^253 + x^252 - x^250 - x^249 - x^248 - x^247 - x^246 - x^245 + 
    x^243 + x^242 + x^241 + x^240 + x^239 + x^238 - x^236 - x^235 - x^234 - x^233 - x^232 - x^231 + x^229 + x^228 + x^227 + x^226 + x^225 + x^224 - x^222 - 
    x^221 - x^220 - x^219 - x^218 - x^217 + x^215 + x^214 + x^213 + x^212 + x^211 + x^210 - x^206 - x^205 - x^204 - x^203 + x^199 + x^198 + x^197 + x^196 - 
    x^192 - x^191 - x^190 - x^189 + x^185 + x^184 + x^183 + x^182 - x^178 - x^177 - x^176 - x^175 + x^171 + x^170 + x^169 + x^168 - x^164 - x^163 - x^162 - 
    x^161 + x^157 + x^156 + x^155 + x^154 - x^150 - x^149 - x^148 - x^147 + x^143 + x^142 + x^141 + x^140 - x^136 - x^135 - x^134 - x^133 + x^129 + x^128 + 
    x^127 + x^126 - x^122 - x^121 - x^120 - x^119 + x^115 + x^114 + x^113 + x^112 - x^108 - x^107 - x^106 - x^105 + x^99 + x^98 - x^92 - x^91 + x^85 + x^84 
    - x^78 - x^77 + x^71 + x^70 - x^64 - x^63 + x^57 + x^56 - x^50 - x^49 + x^43 + x^42 - x^36 - x^35 + x^29 + x^28 - x^22 - x^21 + x^15 + x^14 - x^8 - x^7 
    + x + 1
);
eps_on_gens:=
[* 1499,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^106 - x^105 + x^104 - x^103 + x^102 - x^101 + x^100 - x^99 + x^98 - x^97 + x^96 - x^95 + x^94 - x^93 + x^92 - x^91 + x^90 - x^89 + x^88 - x^87 + x^86 - 
    x^85 + x^84 - x^83 + x^82 - x^81 + x^80 - x^79 + x^78 - x^77 + x^76 - x^75 + x^74 - x^73 + x^72 - x^71 + x^70 - x^69 + x^68 - x^67 + x^66 - x^65 + x^64 
    - x^63 + x^62 - x^61 + x^60 - x^59 + x^58 - x^57 + x^56 - x^55 + x^54 - x^53 + x^52 - x^51 + x^50 - x^49 + x^48 - x^47 + x^46 - x^45 + x^44 - x^43 + 
    x^42 - x^41 + x^40 - x^39 + x^38 - x^37 + x^36 - x^35 + x^34 - x^33 + x^32 - x^31 + x^30 - x^29 + x^28 - x^27 + x^26 - x^25 + x^24 - x^23 + x^22 - x^21 
    + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1499,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1499,
    [ [* 2,
        a
    *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
6
;
dim_old:=
0
;
C:=Rationals();
eps_on_gens:=
[* 1499,
    [ [* 2, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1500,
    [ [* 877, 1 *], [* 1001, 1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1500,
    [ [* 877, 1 *], [* 1001, -1 *], [* 751, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a
    *], [* 1001, 1 *], [* 751, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^40 - x^30 + x^20 - x^10 + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a
    *], [* 1001, -1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a
    *], [* 1001, 1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a
    *], [* 1001, -1 *], [* 751, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
2
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a^2
    *], [* 1001, 1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^20 - x^15 + x^10 - x^5 + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a^2
    *], [* 1001, -1 *], [* 751, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a
    *], [* 1001, 1 *], [* 751, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^8 - x^6 + x^4 - x^2 + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a
    *], [* 1001, -1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
4
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a
    *], [* 1001, 1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a
    *], [* 1001, -1 *], [* 751, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
6
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a^2
    *], [* 1001, 1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^4 - x^3 + x^2 - x + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a^2
    *], [* 1001, -1 *], [* 751, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
0
;
C<a>:=NumberField(
x^2 + 1
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        a
    *], [* 1001, 1 *], [* 751, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
16
;
dim_old:=
4
;
C<a>:=NumberField(
x^16 - 12*x^14 - 24*x^13 + 112*x^12 - 144*x^11 + 16*x^10 + 768*x^9 + 2060*x^8 - 5632*x^7 + 1248*x^6 + 7488*x^5 - 9408*x^4 - 9664*x^3 + 23328*x^2 + 33728*x +
    12176
);
eps_on_gens:=
[* 1500,
    [ [* 877,
        1/17291073259395954568*(-6581155918317978*a^15 + 5971204082713020*a^14 + 74711918812912140*a^13 + 89541969447292095*a^12 - 830945667405954880*a^11 +
            1680462429911512294*a^10 - 1501363394165624540*a^9 - 3955910698381301480*a^8 - 9718102272220797400*a^7 + 46501379415113969060*a^6 - 
            48217694101781291704*a^5 - 12403822411909652240*a^4 + 81241398819977716320*a^3 - 8971655981815176120*a^2 - 148086409775092042640*a - 
            84802855309111490400)
    *], [* 1001, -1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
8
;
C:=Rationals();
eps_on_gens:=
[* 1500,
    [ [* 877, -1 *], [* 1001, 1 *], [* 751, -1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
dim_new:=
0
;
dim_old:=
16
;
C:=Rationals();
eps_on_gens:=
[* 1500,
    [ [* 877, -1 *], [* 1001, -1 *], [* 751, 1 *] ]
*]
;
Append(~dimensions_list,[*eps_on_gens,C,dim_old,dim_new*]);
