// Magma code for the lmfdb family of higher genus curves 13.26-1.0.2-2-2-2-13.6
// The results are stored in a list of records called 'data'

RecFormat:=recformat<group,gp_id, signature,gen_vectors,conj_classes,genus,dimension,r,g0, passport_label,gen_vect_label, is_hyperelliptic, hyp_involution, is_cyclic_trigonal,cyc_auto,full_auto, full_sign,topological_class,braid_class>;

data:=[];

// Create group as a permutation group, and generate data which is the same for all entries.
gp_id:=[26,1];
H:=SmallGroup(gp_id[1],gp_id[2]); n:=#H; LP:=[]; LG:=[g : g in H]; for i in [1..n] do x:=LG[i]; Tx:=[LG[j]*x : j in [1..n]]; permL:=[]; for j in [1..n] do for k in [1..n] do if Tx[j] eq LG[k] then permL[j]:=k;  break; end if; end for; end for; Append(~LP,permL); end for; G:=PermutationGroup<n|LP>; 
signature:=[0,2,2,2,2,13];
genus:=13;
r:=#signature-1;
g0:=signature[1];
dim:=3*g0-3+r;
S:=Sym(gp_id[1]);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=1;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=2;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=3;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=4;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=5;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=6;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=7;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=8;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=9;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=10;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=11;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=12;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=13;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=14;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=15;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=16;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=17;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=18;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=19;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=20;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=21;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=22;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=23;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=24;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=25;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=26;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=27;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=28;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=29;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=30;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=31;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=32;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=33;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=34;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=35;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=36;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=37;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=38;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=39;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=40;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=41;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=42;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=43;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=44;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=45;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=46;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=47;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=48;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=49;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=50;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=51;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=52;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=53;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=54;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=55;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=56;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=57;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=58;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=59;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=60;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=61;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=62;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=63;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=64;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=65;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=66;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=67;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=68;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=69;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=70;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=71;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=72;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=73;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=74;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=75;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=76;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=77;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=78;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=79;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=80;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=81;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=82;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=83;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=84;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=85;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=86;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=87;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=88;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=89;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=90;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=91;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=92;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=93;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=94;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=95;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=96;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=97;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=98;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=99;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=100;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=101;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=102;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=103;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=104;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=105;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=106;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=107;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=108;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=109;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=110;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=111;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=112;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=113;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=114;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=115;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=116;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=117;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=118;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=119;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=120;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=121;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=122;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=123;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=124;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=125;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=126;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=127;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=128;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=129;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=130;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=131;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=132;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=133;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=134;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=135;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=136;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=137;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=138;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=139;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=140;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=141;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=142;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=143;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=144;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=145;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=146;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=147;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=148;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=149;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=150;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=151;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=152;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=153;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=154;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=155;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=156;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=157;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=158;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=159;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=160;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=161;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=162;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=163;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=164;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9], [15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=165;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=166;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11], [17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=167;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [20, 19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 7, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8], [7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=168;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[14, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 1, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2], [26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 26, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13], [19, 18, 17, 16, 15, 14, 26, 25, 24, 23, 22, 21, 20, 6, 5, 4, 3, 2, 1, 13, 12, 11, 10, 9, 8, 7], [8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,2,2,2,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=169;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);
