// Magma code for the lmfdb family of higher genus curves 10.25-1.0.5-25-25
// 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:=[25,1];
H:=SmallGroup(gp_id[1],gp_id[2]); n:=#H; LP:=[]; LG:=[g : g in H]; for i in [1..n] do x:=LG[i]; Tx:=[LG[j]*x : j in [1..n]]; permL:=[]; for j in [1..n] do for k in [1..n] do if Tx[j] eq LG[k] then permL[j]:=k;  break; end if; end for; end for; Append(~LP,permL); end for; G:=PermutationGroup<n|LP>; 
signature:=[0,5,25,25];
genus:=10;
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:=[[2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1], [24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19]];
cc:=[2,6,21];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=1;
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:=[[2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21], [11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6], [19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14]];
cc:=[2,7,20];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=2;
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:=[[2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21], [16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11], [14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9]];
cc:=[2,8,19];
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:=[[2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21], [21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16], [9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4]];
cc:=[2,9,18];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=4;
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:=[[2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21], [7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2], [23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18]];
cc:=[2,10,17];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=5;
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:=[[2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21], [12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7], [18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13]];
cc:=[2,11,16];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=6;
gen_vect_label:=1;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21], [17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12], [13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8]];
cc:=[2,12,15];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=7;
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:=[[2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21], [22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17], [8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3]];
cc:=[2,13,14];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=8;
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:=[[2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21], [10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5], [25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]];
cc:=[2,22,25];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=9;
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:=[[2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21], [15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]];
cc:=[2,23,24];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=10;
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:=[[3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1], [23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18]];
cc:=[3,6,17];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=11;
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:=[[3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22], [11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6], [18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13]];
cc:=[3,7,16];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=12;
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:=[[3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22], [16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11], [13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8]];
cc:=[3,8,15];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=13;
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:=[[3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22], [21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16], [8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3]];
cc:=[3,9,14];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=14;
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:=[[3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22], [7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2], [22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17]];
cc:=[3,10,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=15;
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:=[[3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22], [12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7], [17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12]];
cc:=[3,11,12];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=16;
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:=[[3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22], [9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4], [25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]];
cc:=[3,18,25];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=17;
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:=[[3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22], [14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9], [20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]];
cc:=[3,19,24];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=18;
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:=[[3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22], [19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14], [15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]];
cc:=[3,20,23];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=19;
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:=[[3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22], [24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19], [10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5]];
cc:=[3,21,22];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=20;
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:=[[4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1], [22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17]];
cc:=[4,6,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=21;
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:=[[4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23], [11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6], [17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12]];
cc:=[4,7,12];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=22;
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:=[[4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23], [16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11], [12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7]];
cc:=[4,8,11];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=23;
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:=[[4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23], [21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16], [7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2]];
cc:=[4,9,10];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=24;
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:=[[4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23], [8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3], [25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]];
cc:=[4,14,25];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=25;
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:=[[4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23], [13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8], [20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]];
cc:=[4,15,24];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=26;
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:=[[4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23], [18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13], [15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]];
cc:=[4,16,23];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=27;
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:=[[4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23], [23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18], [10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5]];
cc:=[4,17,22];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=28;
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:=[[4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23], [9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4], [24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19]];
cc:=[4,18,21];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=29;
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:=[[4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23], [14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9], [19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14]];
cc:=[4,19,20];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=30;
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:=[[5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24], [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1], [21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16]];
cc:=[5,6,9];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=31;
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:=[[5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24], [11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6], [16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 12, 13, 14, 15, 11]];
cc:=[5,7,8];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=32;
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:=[[5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24], [7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2], [25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]];
cc:=[5,10,25];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=33;
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:=[[5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24], [12, 13, 14, 15, 11, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7], [20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]];
cc:=[5,11,24];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=34;
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:=[[5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24], [17, 18, 19, 20, 16, 22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12], [15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]];
cc:=[5,12,23];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=35;
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:=[[5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24], [22, 23, 24, 25, 21, 3, 4, 5, 1, 2, 8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17], [10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24, 1, 2, 3, 4, 5]];
cc:=[5,13,22];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=36;
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:=[[5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24], [8, 9, 10, 6, 7, 13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3], [24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19]];
cc:=[5,14,21];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=37;
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:=[[5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24], [13, 14, 15, 11, 12, 18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8], [19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14]];
cc:=[5,15,20];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=38;
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:=[[5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24], [18, 19, 20, 16, 17, 23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13], [14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4, 10, 6, 7, 8, 9]];
cc:=[5,16,19];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=39;
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:=[[5, 1, 2, 3, 4, 10, 6, 7, 8, 9, 15, 11, 12, 13, 14, 20, 16, 17, 18, 19, 25, 21, 22, 23, 24], [23, 24, 25, 21, 22, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18], [9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23, 5, 1, 2, 3, 4]];
cc:=[5,17,18];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=40;
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 >);
