// Magma code for the lmfdb family of higher genus curves 13.12-3.0.3-3-3-3-3-3.3
// 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:=[12,3];
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:=[0,3,3,3,3,3,3];
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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:=[[9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]];
cc:=[4,4,4,4,4,4];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
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 >);
