// Magma code for the lmfdb family of higher genus curves 15.55-1.0.5-5-11.1 // 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:=[55,1]; 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; signature:=[0,5,5,11]; 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:=[[12, 16, 20, 13, 17, 21, 14, 18, 22, 15, 19, 23, 27, 31, 24, 28, 32, 25, 29, 33, 26, 30, 34, 38, 42, 35, 39, 43, 36, 40, 44, 37, 41, 45, 49, 53, 46, 50, 54, 47, 51, 55, 48, 52, 1, 5, 9, 2, 6, 10, 3, 7, 11, 4, 8], [52, 55, 47, 50, 53, 45, 48, 51, 54, 46, 49, 8, 11, 3, 6, 9, 1, 4, 7, 10, 2, 5, 19, 22, 14, 17, 20, 12, 15, 18, 21, 13, 16, 30, 33, 25, 28, 31, 23, 26, 29, 32, 24, 27, 41, 44, 36, 39, 42, 34, 37, 40, 43, 35, 38], [5, 6, 7, 8, 9, 10, 11, 1, 2, 3, 4, 16, 17, 18, 19, 20, 21, 22, 12, 13, 14, 15, 27, 28, 29, 30, 31, 32, 33, 23, 24, 25, 26, 38, 39, 40, 41, 42, 43, 44, 34, 35, 36, 37, 49, 50, 51, 52, 53, 54, 55, 45, 46, 47, 48]]; cc:=[2,5,6]; 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);