// Magma code for the lmfdb family of higher genus curves 7.56-11.0.2-7-7.1 // 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:=[56,11]; 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:=[0,2,7,7]; 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:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13, 16, 15, 18, 17, 20, 19, 22, 21, 24, 23, 26, 25, 28, 27, 30, 29, 32, 31, 34, 33, 36, 35, 38, 37, 40, 39, 42, 41, 44, 43, 46, 45, 48, 47, 50, 49, 52, 51, 54, 53, 56, 55], [9, 14, 10, 13, 11, 16, 12, 15, 17, 22, 18, 21, 19, 24, 20, 23, 25, 30, 26, 29, 27, 32, 28, 31, 33, 38, 34, 37, 35, 40, 36, 39, 41, 46, 42, 45, 43, 48, 44, 47, 49, 54, 50, 53, 51, 56, 52, 55, 1, 6, 2, 5, 3, 8, 4, 7], [50, 52, 54, 56, 51, 49, 55, 53, 2, 4, 6, 8, 3, 1, 7, 5, 10, 12, 14, 16, 11, 9, 15, 13, 18, 20, 22, 24, 19, 17, 23, 21, 26, 28, 30, 32, 27, 25, 31, 29, 34, 36, 38, 40, 35, 33, 39, 37, 42, 44, 46, 48, 43, 41, 47, 45]]; cc:=[2,3,8]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=1; gen_vect_label:=1; braid_class:=1; topological_class:=[1, 1]; full_auto:=[504,156]; full_sign:=[0,2,3,7]; Append(~data, rec);