// Magma code for the lmfdb family of higher genus curves 12.12-3.0.2-3-3-3-3-3.2 // 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:=[12,3]; 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:=[0,2,3,3,3,3,3]; genus:=12; 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], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; 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); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=2; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=3; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=4; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=5; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=6; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=7; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=8; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=9; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=10; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=11; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=12; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=13; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=14; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=15; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=16; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=17; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=18; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=19; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=20; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=21; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=22; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=23; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=24; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=25; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=26; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=27; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=28; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=29; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=30; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=31; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=32; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=33; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=34; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=35; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=36; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=37; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=38; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=39; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=40; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=41; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=42; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=43; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=44; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=45; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=46; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=47; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=48; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=49; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=50; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=51; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=52; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=53; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=54; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=55; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=56; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=57; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=58; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=59; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=60; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=61; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7], [12, 10, 9, 11, 4, 2, 1, 3, 8, 6, 5, 7]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=62; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5], [9, 11, 12, 10, 1, 3, 4, 2, 5, 7, 8, 6]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=63; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec); // Here we add an action to data. gen_vectors:=[[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [11, 9, 10, 12, 3, 1, 2, 4, 7, 5, 6, 8], [10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]]; cc:=[2,3,4,4,4,4]; gen_vectors_as_perm:=[S!perm : perm in gen_vectors]; passport_label:=2; gen_vect_label:=64; is_hyperelliptic:=false; is_cyclic_trigonal:=false; Append(~data, rec);