// Magma code for the lmfdb family of higher genus curves 7.24-9.0.4-6-12.3 // The results are stored in a list of records called 'data' RecFormat:=recformat; data:=[]; // Create group as a permutation group, and generate data which is the same for all entries. gp_id:=[24,9]; 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; signature:=[0,4,6,12]; genus:=7; 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:=[[13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [10, 9, 12, 11, 8, 7, 4, 3, 6, 5, 2, 1, 22, 21, 24, 23, 20, 19, 16, 15, 18, 17, 14, 13], [23, 24, 19, 20, 21, 22, 17, 18, 13, 14, 15, 16, 12, 11, 8, 7, 10, 9, 6, 5, 2, 1, 4, 3]]; cc:=[7,15,22]; 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);