# GAP code for the lmfdb family of higher genus curves 8.24-11.0.4-12-12 # The results are stored in a list of records called 'data' # WARNING: The conjugacy class numbers may not be the same as those listed in lmfdb.org, as numberings in Magma and GAP may differ. If you need to connect this data to that posted on lmfdb.org, compare the variables 'passport_label' and 'gen_vector_labels'. data:=[]; # Generate data which is the same for all entries. gp_id:=[24,11]; signature:=[0,4,12,12]; genus:=8; r:=Length(signature)-1; g0:=signature[1]; dim:=3*g0-3+r; # Here we add an action to data. gen_vectors:=[[7, 8, 9, 10, 11, 12, 2, 1, 4, 3, 6, 5, 19, 20, 21, 22, 23, 24, 14, 13, 16, 15, 18, 17], [15, 16, 17, 18, 13, 14, 22, 21, 24, 23, 20, 19, 4, 3, 6, 5, 2, 1, 9, 10, 11, 12, 7, 8], [23, 24, 19, 20, 21, 22, 17, 18, 13, 14, 15, 16, 12, 11, 8, 7, 10, 9, 6, 5, 2, 1, 4, 3]]; perm_list:= List([1..Length(gen_vectors)], x->PermList(gen_vectors[x])); S:=SymmetricGroup(gp_id[1]); G:=Subgroup(S,perm_list); passport_label:=1; gen_vect_label:=1; full_auto:=[48,17]; full_sign:=[0,2,8,12]; Add( data, rec( group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=perm_list, 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, full_auto:=full_auto, full_sign:=full_sign) ); # Here we add an action to data. gen_vectors:=[[7, 8, 9, 10, 11, 12, 2, 1, 4, 3, 6, 5, 19, 20, 21, 22, 23, 24, 14, 13, 16, 15, 18, 17], [17, 18, 13, 14, 15, 16, 24, 23, 20, 19, 22, 21, 6, 5, 2, 1, 4, 3, 11, 12, 7, 8, 9, 10], [21, 22, 23, 24, 19, 20, 15, 16, 17, 18, 13, 14, 10, 9, 12, 11, 8, 7, 4, 3, 6, 5, 2, 1]]; perm_list:= List([1..Length(gen_vectors)], x->PermList(gen_vectors[x])); S:=SymmetricGroup(gp_id[1]); G:=Subgroup(S,perm_list); passport_label:=2; gen_vect_label:=1; full_auto:=[48,17]; full_sign:=[0,2,8,12]; Add( data, rec( group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=perm_list, 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, full_auto:=full_auto, full_sign:=full_sign) ); # Here we add an action to data. gen_vectors:=[[13, 14, 15, 16, 17, 18, 20, 19, 22, 21, 24, 23, 2, 1, 4, 3, 6, 5, 7, 8, 9, 10, 11, 12], [9, 10, 11, 12, 7, 8, 4, 3, 6, 5, 2, 1, 21, 22, 23, 24, 19, 20, 16, 15, 18, 17, 14, 13], [24, 23, 20, 19, 22, 21, 18, 17, 14, 13, 16, 15, 11, 12, 7, 8, 9, 10, 5, 6, 1, 2, 3, 4]]; perm_list:= List([1..Length(gen_vectors)], x->PermList(gen_vectors[x])); S:=SymmetricGroup(gp_id[1]); G:=Subgroup(S,perm_list); passport_label:=3; gen_vect_label:=1; full_auto:=[48,17]; full_sign:=[0,2,8,12]; Add( data, rec( group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=perm_list, 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, full_auto:=full_auto, full_sign:=full_sign) ); # Here we add an action to data. gen_vectors:=[[13, 14, 15, 16, 17, 18, 20, 19, 22, 21, 24, 23, 2, 1, 4, 3, 6, 5, 7, 8, 9, 10, 11, 12], [11, 12, 7, 8, 9, 10, 6, 5, 2, 1, 4, 3, 23, 24, 19, 20, 21, 22, 18, 17, 14, 13, 16, 15], [22, 21, 24, 23, 20, 19, 16, 15, 18, 17, 14, 13, 9, 10, 11, 12, 7, 8, 3, 4, 5, 6, 1, 2]]; perm_list:= List([1..Length(gen_vectors)], x->PermList(gen_vectors[x])); S:=SymmetricGroup(gp_id[1]); G:=Subgroup(S,perm_list); passport_label:=4; gen_vect_label:=1; full_auto:=[48,17]; full_sign:=[0,2,8,12]; Add( data, rec( group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=perm_list, 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, full_auto:=full_auto, full_sign:=full_sign) ); # Here we add an action to data. gen_vectors:=[[19, 20, 21, 22, 23, 24, 13, 14, 15, 16, 17, 18, 8, 7, 10, 9, 12, 11, 2, 1, 4, 3, 6, 5], [9, 10, 11, 12, 7, 8, 4, 3, 6, 5, 2, 1, 21, 22, 23, 24, 19, 20, 16, 15, 18, 17, 14, 13], [17, 18, 13, 14, 15, 16, 24, 23, 20, 19, 22, 21, 6, 5, 2, 1, 4, 3, 11, 12, 7, 8, 9, 10]]; perm_list:= List([1..Length(gen_vectors)], x->PermList(gen_vectors[x])); S:=SymmetricGroup(gp_id[1]); G:=Subgroup(S,perm_list); passport_label:=5; gen_vect_label:=1; full_auto:=[48,17]; full_sign:=[0,2,8,12]; Add( data, rec( group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=perm_list, 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, full_auto:=full_auto, full_sign:=full_sign) ); # Here we add an action to data. gen_vectors:=[[19, 20, 21, 22, 23, 24, 13, 14, 15, 16, 17, 18, 8, 7, 10, 9, 12, 11, 2, 1, 4, 3, 6, 5], [11, 12, 7, 8, 9, 10, 6, 5, 2, 1, 4, 3, 23, 24, 19, 20, 21, 22, 18, 17, 14, 13, 16, 15], [15, 16, 17, 18, 13, 14, 22, 21, 24, 23, 20, 19, 4, 3, 6, 5, 2, 1, 9, 10, 11, 12, 7, 8]]; perm_list:= List([1..Length(gen_vectors)], x->PermList(gen_vectors[x])); S:=SymmetricGroup(gp_id[1]); G:=Subgroup(S,perm_list); passport_label:=6; gen_vect_label:=1; full_auto:=[48,17]; full_sign:=[0,2,8,12]; Add( data, rec( group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=perm_list, 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, full_auto:=full_auto, full_sign:=full_sign) );