// Magma code for the lmfdb family of higher genus curves 5.32-27.0.2-2-2-4
// 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:=[32,27];
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:=[0,2,2,2,4];
genus:=5;
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:=[[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12, 21, 22, 23, 24, 17, 18, 19, 20, 29, 30, 31, 32, 25, 26, 27, 28], [9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8, 25, 26, 27, 28, 29, 30, 31, 32, 17, 18, 19, 20, 21, 22, 23, 24], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [29, 30, 31, 32, 26, 25, 28, 27, 23, 24, 21, 22, 20, 19, 18, 17, 13, 14, 15, 16, 10, 9, 12, 11, 7, 8, 5, 6, 4, 3, 2, 1]];
cc:=[5,7,11,14];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=1;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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:=[[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12, 21, 22, 23, 24, 17, 18, 19, 20, 29, 30, 31, 32, 25, 26, 27, 28], [11, 12, 9, 10, 15, 16, 13, 14, 3, 4, 1, 2, 7, 8, 5, 6, 27, 28, 25, 26, 31, 32, 29, 30, 19, 20, 17, 18, 23, 24, 21, 22], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [31, 32, 29, 30, 28, 27, 26, 25, 21, 22, 23, 24, 18, 17, 20, 19, 15, 16, 13, 14, 12, 11, 10, 9, 5, 6, 7, 8, 2, 1, 4, 3]];
cc:=[5,7,11,14];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=1;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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:=[[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12, 21, 22, 23, 24, 17, 18, 19, 20, 29, 30, 31, 32, 25, 26, 27, 28], [10, 9, 12, 11, 14, 13, 16, 15, 2, 1, 4, 3, 6, 5, 8, 7, 26, 25, 28, 27, 30, 29, 32, 31, 18, 17, 20, 19, 22, 21, 24, 23], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [30, 29, 32, 31, 25, 26, 27, 28, 24, 23, 22, 21, 19, 20, 17, 18, 14, 13, 16, 15, 9, 10, 11, 12, 8, 7, 6, 5, 3, 4, 1, 2]];
cc:=[5,8,11,14];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=2;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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:=[[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12, 21, 22, 23, 24, 17, 18, 19, 20, 29, 30, 31, 32, 25, 26, 27, 28], [12, 11, 10, 9, 16, 15, 14, 13, 4, 3, 2, 1, 8, 7, 6, 5, 28, 27, 26, 25, 32, 31, 30, 29, 20, 19, 18, 17, 24, 23, 22, 21], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [32, 31, 30, 29, 27, 28, 25, 26, 22, 21, 24, 23, 17, 18, 19, 20, 16, 15, 14, 13, 11, 12, 9, 10, 6, 5, 8, 7, 1, 2, 3, 4]];
cc:=[5,8,11,14];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=2;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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:=[[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12, 21, 22, 23, 24, 17, 18, 19, 20, 29, 30, 31, 32, 25, 26, 27, 28], [13, 14, 15, 16, 9, 10, 11, 12, 5, 6, 7, 8, 1, 2, 3, 4, 29, 30, 31, 32, 25, 26, 27, 28, 21, 22, 23, 24, 17, 18, 19, 20], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [25, 26, 27, 28, 30, 29, 32, 31, 19, 20, 17, 18, 24, 23, 22, 21, 9, 10, 11, 12, 14, 13, 16, 15, 3, 4, 1, 2, 8, 7, 6, 5]];
cc:=[5,9,11,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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:=[[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12, 21, 22, 23, 24, 17, 18, 19, 20, 29, 30, 31, 32, 25, 26, 27, 28], [16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [28, 27, 26, 25, 31, 32, 29, 30, 18, 17, 20, 19, 21, 22, 23, 24, 12, 11, 10, 9, 15, 16, 13, 14, 2, 1, 4, 3, 5, 6, 7, 8]];
cc:=[5,9,11,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=3;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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:=[[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12, 21, 22, 23, 24, 17, 18, 19, 20, 29, 30, 31, 32, 25, 26, 27, 28], [14, 13, 16, 15, 10, 9, 12, 11, 6, 5, 8, 7, 2, 1, 4, 3, 30, 29, 32, 31, 26, 25, 28, 27, 22, 21, 24, 23, 18, 17, 20, 19], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [26, 25, 28, 27, 29, 30, 31, 32, 20, 19, 18, 17, 23, 24, 21, 22, 10, 9, 12, 11, 13, 14, 15, 16, 4, 3, 2, 1, 7, 8, 5, 6]];
cc:=[5,10,11,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=4;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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:=[[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12, 21, 22, 23, 24, 17, 18, 19, 20, 29, 30, 31, 32, 25, 26, 27, 28], [15, 16, 13, 14, 11, 12, 9, 10, 7, 8, 5, 6, 3, 4, 1, 2, 31, 32, 29, 30, 27, 28, 25, 26, 23, 24, 21, 22, 19, 20, 17, 18], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [27, 28, 25, 26, 32, 31, 30, 29, 17, 18, 19, 20, 22, 21, 24, 23, 11, 12, 9, 10, 16, 15, 14, 13, 1, 2, 3, 4, 6, 5, 8, 7]];
cc:=[5,10,11,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=4;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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:=[[7, 8, 5, 6, 3, 4, 1, 2, 15, 16, 13, 14, 11, 12, 9, 10, 23, 24, 21, 22, 19, 20, 17, 18, 31, 32, 29, 30, 27, 28, 25, 26], [9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8, 25, 26, 27, 28, 29, 30, 31, 32, 17, 18, 19, 20, 21, 22, 23, 24], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [31, 32, 29, 30, 28, 27, 26, 25, 21, 22, 23, 24, 18, 17, 20, 19, 15, 16, 13, 14, 12, 11, 10, 9, 5, 6, 7, 8, 2, 1, 4, 3]];
cc:=[6,7,11,14];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=5;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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:=[[7, 8, 5, 6, 3, 4, 1, 2, 15, 16, 13, 14, 11, 12, 9, 10, 23, 24, 21, 22, 19, 20, 17, 18, 31, 32, 29, 30, 27, 28, 25, 26], [11, 12, 9, 10, 15, 16, 13, 14, 3, 4, 1, 2, 7, 8, 5, 6, 27, 28, 25, 26, 31, 32, 29, 30, 19, 20, 17, 18, 23, 24, 21, 22], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [29, 30, 31, 32, 26, 25, 28, 27, 23, 24, 21, 22, 20, 19, 18, 17, 13, 14, 15, 16, 10, 9, 12, 11, 7, 8, 5, 6, 4, 3, 2, 1]];
cc:=[6,7,11,14];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=5;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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:=[[7, 8, 5, 6, 3, 4, 1, 2, 15, 16, 13, 14, 11, 12, 9, 10, 23, 24, 21, 22, 19, 20, 17, 18, 31, 32, 29, 30, 27, 28, 25, 26], [10, 9, 12, 11, 14, 13, 16, 15, 2, 1, 4, 3, 6, 5, 8, 7, 26, 25, 28, 27, 30, 29, 32, 31, 18, 17, 20, 19, 22, 21, 24, 23], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [32, 31, 30, 29, 27, 28, 25, 26, 22, 21, 24, 23, 17, 18, 19, 20, 16, 15, 14, 13, 11, 12, 9, 10, 6, 5, 8, 7, 1, 2, 3, 4]];
cc:=[6,8,11,14];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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:=[[7, 8, 5, 6, 3, 4, 1, 2, 15, 16, 13, 14, 11, 12, 9, 10, 23, 24, 21, 22, 19, 20, 17, 18, 31, 32, 29, 30, 27, 28, 25, 26], [12, 11, 10, 9, 16, 15, 14, 13, 4, 3, 2, 1, 8, 7, 6, 5, 28, 27, 26, 25, 32, 31, 30, 29, 20, 19, 18, 17, 24, 23, 22, 21], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [30, 29, 32, 31, 25, 26, 27, 28, 24, 23, 22, 21, 19, 20, 17, 18, 14, 13, 16, 15, 9, 10, 11, 12, 8, 7, 6, 5, 3, 4, 1, 2]];
cc:=[6,8,11,14];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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:=[[7, 8, 5, 6, 3, 4, 1, 2, 15, 16, 13, 14, 11, 12, 9, 10, 23, 24, 21, 22, 19, 20, 17, 18, 31, 32, 29, 30, 27, 28, 25, 26], [13, 14, 15, 16, 9, 10, 11, 12, 5, 6, 7, 8, 1, 2, 3, 4, 29, 30, 31, 32, 25, 26, 27, 28, 21, 22, 23, 24, 17, 18, 19, 20], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [27, 28, 25, 26, 32, 31, 30, 29, 17, 18, 19, 20, 22, 21, 24, 23, 11, 12, 9, 10, 16, 15, 14, 13, 1, 2, 3, 4, 6, 5, 8, 7]];
cc:=[6,9,11,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=7;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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:=[[7, 8, 5, 6, 3, 4, 1, 2, 15, 16, 13, 14, 11, 12, 9, 10, 23, 24, 21, 22, 19, 20, 17, 18, 31, 32, 29, 30, 27, 28, 25, 26], [16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [26, 25, 28, 27, 29, 30, 31, 32, 20, 19, 18, 17, 23, 24, 21, 22, 10, 9, 12, 11, 13, 14, 15, 16, 4, 3, 2, 1, 7, 8, 5, 6]];
cc:=[6,9,11,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=7;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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:=[[7, 8, 5, 6, 3, 4, 1, 2, 15, 16, 13, 14, 11, 12, 9, 10, 23, 24, 21, 22, 19, 20, 17, 18, 31, 32, 29, 30, 27, 28, 25, 26], [14, 13, 16, 15, 10, 9, 12, 11, 6, 5, 8, 7, 2, 1, 4, 3, 30, 29, 32, 31, 26, 25, 28, 27, 22, 21, 24, 23, 18, 17, 20, 19], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [28, 27, 26, 25, 31, 32, 29, 30, 18, 17, 20, 19, 21, 22, 23, 24, 12, 11, 10, 9, 15, 16, 13, 14, 2, 1, 4, 3, 5, 6, 7, 8]];
cc:=[6,10,11,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=8;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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:=[[7, 8, 5, 6, 3, 4, 1, 2, 15, 16, 13, 14, 11, 12, 9, 10, 23, 24, 21, 22, 19, 20, 17, 18, 31, 32, 29, 30, 27, 28, 25, 26], [15, 16, 13, 14, 11, 12, 9, 10, 7, 8, 5, 6, 3, 4, 1, 2, 31, 32, 29, 30, 27, 28, 25, 26, 23, 24, 21, 22, 19, 20, 17, 18], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [25, 26, 27, 28, 30, 29, 32, 31, 19, 20, 17, 18, 24, 23, 22, 21, 9, 10, 11, 12, 14, 13, 16, 15, 3, 4, 1, 2, 8, 7, 6, 5]];
cc:=[6,10,11,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=8;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8, 25, 26, 27, 28, 29, 30, 31, 32, 17, 18, 19, 20, 21, 22, 23, 24], [13, 14, 15, 16, 9, 10, 11, 12, 5, 6, 7, 8, 1, 2, 3, 4, 29, 30, 31, 32, 25, 26, 27, 28, 21, 22, 23, 24, 17, 18, 19, 20], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [21, 22, 23, 24, 18, 17, 20, 19, 31, 32, 29, 30, 28, 27, 26, 25, 5, 6, 7, 8, 2, 1, 4, 3, 15, 16, 13, 14, 12, 11, 10, 9]];
cc:=[7,9,11,12];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=9;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8, 25, 26, 27, 28, 29, 30, 31, 32, 17, 18, 19, 20, 21, 22, 23, 24], [16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [24, 23, 22, 21, 19, 20, 17, 18, 30, 29, 32, 31, 25, 26, 27, 28, 8, 7, 6, 5, 3, 4, 1, 2, 14, 13, 16, 15, 9, 10, 11, 12]];
cc:=[7,9,11,12];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=9;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8, 25, 26, 27, 28, 29, 30, 31, 32, 17, 18, 19, 20, 21, 22, 23, 24], [14, 13, 16, 15, 10, 9, 12, 11, 6, 5, 8, 7, 2, 1, 4, 3, 30, 29, 32, 31, 26, 25, 28, 27, 22, 21, 24, 23, 18, 17, 20, 19], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [22, 21, 24, 23, 17, 18, 19, 20, 32, 31, 30, 29, 27, 28, 25, 26, 6, 5, 8, 7, 1, 2, 3, 4, 16, 15, 14, 13, 11, 12, 9, 10]];
cc:=[7,10,11,12];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=10;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8, 25, 26, 27, 28, 29, 30, 31, 32, 17, 18, 19, 20, 21, 22, 23, 24], [15, 16, 13, 14, 11, 12, 9, 10, 7, 8, 5, 6, 3, 4, 1, 2, 31, 32, 29, 30, 27, 28, 25, 26, 23, 24, 21, 22, 19, 20, 17, 18], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [23, 24, 21, 22, 20, 19, 18, 17, 29, 30, 31, 32, 26, 25, 28, 27, 7, 8, 5, 6, 4, 3, 2, 1, 13, 14, 15, 16, 10, 9, 12, 11]];
cc:=[7,10,11,12];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=10;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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:=[[10, 9, 12, 11, 14, 13, 16, 15, 2, 1, 4, 3, 6, 5, 8, 7, 26, 25, 28, 27, 30, 29, 32, 31, 18, 17, 20, 19, 22, 21, 24, 23], [13, 14, 15, 16, 9, 10, 11, 12, 5, 6, 7, 8, 1, 2, 3, 4, 29, 30, 31, 32, 25, 26, 27, 28, 21, 22, 23, 24, 17, 18, 19, 20], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [22, 21, 24, 23, 17, 18, 19, 20, 32, 31, 30, 29, 27, 28, 25, 26, 6, 5, 8, 7, 1, 2, 3, 4, 16, 15, 14, 13, 11, 12, 9, 10]];
cc:=[8,9,11,12];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=11;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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:=[[10, 9, 12, 11, 14, 13, 16, 15, 2, 1, 4, 3, 6, 5, 8, 7, 26, 25, 28, 27, 30, 29, 32, 31, 18, 17, 20, 19, 22, 21, 24, 23], [16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [23, 24, 21, 22, 20, 19, 18, 17, 29, 30, 31, 32, 26, 25, 28, 27, 7, 8, 5, 6, 4, 3, 2, 1, 13, 14, 15, 16, 10, 9, 12, 11]];
cc:=[8,9,11,12];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=11;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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:=[[10, 9, 12, 11, 14, 13, 16, 15, 2, 1, 4, 3, 6, 5, 8, 7, 26, 25, 28, 27, 30, 29, 32, 31, 18, 17, 20, 19, 22, 21, 24, 23], [14, 13, 16, 15, 10, 9, 12, 11, 6, 5, 8, 7, 2, 1, 4, 3, 30, 29, 32, 31, 26, 25, 28, 27, 22, 21, 24, 23, 18, 17, 20, 19], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [21, 22, 23, 24, 18, 17, 20, 19, 31, 32, 29, 30, 28, 27, 26, 25, 5, 6, 7, 8, 2, 1, 4, 3, 15, 16, 13, 14, 12, 11, 10, 9]];
cc:=[8,10,11,12];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=12;
gen_vect_label:=1;
braid_class:=1;
topological_class:=[1, 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:=[[10, 9, 12, 11, 14, 13, 16, 15, 2, 1, 4, 3, 6, 5, 8, 7, 26, 25, 28, 27, 30, 29, 32, 31, 18, 17, 20, 19, 22, 21, 24, 23], [15, 16, 13, 14, 11, 12, 9, 10, 7, 8, 5, 6, 3, 4, 1, 2, 31, 32, 29, 30, 27, 28, 25, 26, 23, 24, 21, 22, 19, 20, 17, 18], [17, 18, 19, 20, 22, 21, 24, 23, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 3, 4, 6, 5, 8, 7, 11, 12, 9, 10, 16, 15, 14, 13], [24, 23, 22, 21, 19, 20, 17, 18, 30, 29, 32, 31, 25, 26, 27, 28, 8, 7, 6, 5, 3, 4, 1, 2, 14, 13, 16, 15, 9, 10, 11, 12]];
cc:=[8,10,11,12];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=12;
gen_vect_label:=2;
braid_class:=1;
topological_class:=[1, 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 >);
