// Magma code for the lmfdb family of higher genus curves 15.96-192.0.2-8-12.1
// 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:=[96,192];
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:=[0,2,8,12];
genus:=15;
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:=[[49, 50, 53, 54, 51, 52, 56, 55, 65, 66, 69, 70, 67, 68, 72, 71, 57, 58, 61, 62, 59, 60, 64, 63, 73, 74, 77, 78, 75, 76, 80, 79, 89, 90, 93, 94, 91, 92, 96, 95, 81, 82, 85, 86, 83, 84, 88, 87, 1, 2, 5, 6, 3, 4, 8, 7, 17, 18, 21, 22, 19, 20, 24, 23, 9, 10, 13, 14, 11, 12, 16, 15, 25, 26, 29, 30, 27, 28, 32, 31, 41, 42, 45, 46, 43, 44, 48, 47, 33, 34, 37, 38, 35, 36, 40, 39], [92, 91, 94, 93, 95, 96, 90, 89, 84, 83, 86, 85, 87, 88, 82, 81, 76, 75, 78, 77, 79, 80, 74, 73, 67, 68, 69, 70, 72, 71, 65, 66, 59, 60, 61, 62, 64, 63, 57, 58, 51, 52, 53, 54, 56, 55, 49, 50, 44, 43, 46, 45, 47, 48, 42, 41, 36, 35, 38, 37, 39, 40, 34, 33, 28, 27, 30, 29, 31, 32, 26, 25, 19, 20, 21, 22, 24, 23, 17, 18, 11, 12, 13, 14, 16, 15, 9, 10, 3, 4, 5, 6, 8, 7, 1, 2], [40, 39, 33, 34, 37, 38, 36, 35, 48, 47, 41, 42, 45, 46, 44, 43, 32, 31, 25, 26, 29, 30, 28, 27, 15, 16, 10, 9, 14, 13, 11, 12, 23, 24, 18, 17, 22, 21, 19, 20, 7, 8, 2, 1, 6, 5, 3, 4, 88, 87, 81, 82, 85, 86, 84, 83, 96, 95, 89, 90, 93, 94, 92, 91, 80, 79, 73, 74, 77, 78, 76, 75, 63, 64, 58, 57, 62, 61, 59, 60, 71, 72, 66, 65, 70, 69, 67, 68, 55, 56, 50, 49, 54, 53, 51, 52]];
cc:=[4,13,15];
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 >);
