# GAP code for the lmfdb family of higher genus curves 5.32-43.0.2-2-2-4 # 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:=[32,43]; signature:=[0,2,2,2,4]; genus:=5; r:=Length(signature)-1; g0:=signature[1]; dim:=3*g0-3+r; # Here we add an action to data. gen_vectors:=[[9, 10, 12, 11, 13, 14, 16, 15, 1, 2, 4, 3, 5, 6, 8, 7, 25, 26, 28, 27, 29, 30, 32, 31, 17, 18, 20, 19, 21, 22, 24, 23], [13, 14, 16, 15, 9, 10, 12, 11, 5, 6, 8, 7, 1, 2, 4, 3, 29, 30, 32, 31, 25, 26, 28, 27, 21, 22, 24, 23, 17, 18, 20, 19], [17, 18, 20, 19, 22, 21, 23, 24, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 4, 3, 6, 5, 7, 8, 11, 12, 9, 10, 16, 15, 14, 13], [21, 22, 24, 23, 18, 17, 19, 20, 31, 32, 29, 30, 28, 27, 26, 25, 5, 6, 8, 7, 2, 1, 3, 4, 15, 16, 13, 14, 12, 11, 10, 9]]; 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; braid_class:=1; topological_class:=[1, 1]; is_hyperelliptic:=false; is_cyclic_trigonal:=false; 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, is_hyperelliptic:=is_hyperelliptic) ); # Here we add an action to data. gen_vectors:=[[9, 10, 12, 11, 13, 14, 16, 15, 1, 2, 4, 3, 5, 6, 8, 7, 25, 26, 28, 27, 29, 30, 32, 31, 17, 18, 20, 19, 21, 22, 24, 23], [14, 13, 15, 16, 10, 9, 11, 12, 6, 5, 7, 8, 2, 1, 3, 4, 30, 29, 31, 32, 26, 25, 27, 28, 22, 21, 23, 24, 18, 17, 19, 20], [17, 18, 20, 19, 22, 21, 23, 24, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 4, 3, 6, 5, 7, 8, 11, 12, 9, 10, 16, 15, 14, 13], [22, 21, 23, 24, 17, 18, 20, 19, 32, 31, 30, 29, 27, 28, 25, 26, 6, 5, 7, 8, 1, 2, 4, 3, 16, 15, 14, 13, 11, 12, 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:=1; gen_vect_label:=2; braid_class:=1; topological_class:=[1, 1]; is_hyperelliptic:=false; is_cyclic_trigonal:=false; 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, is_hyperelliptic:=is_hyperelliptic) ); # Here we add an action to data. gen_vectors:=[[9, 10, 12, 11, 13, 14, 16, 15, 1, 2, 4, 3, 5, 6, 8, 7, 25, 26, 28, 27, 29, 30, 32, 31, 17, 18, 20, 19, 21, 22, 24, 23], [16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17], [17, 18, 20, 19, 22, 21, 23, 24, 27, 28, 25, 26, 32, 31, 30, 29, 1, 2, 4, 3, 6, 5, 7, 8, 11, 12, 9, 10, 16, 15, 14, 13], [23, 24, 21, 22, 20, 19, 18, 17, 30, 29, 31, 32, 25, 26, 28, 27, 7, 8, 5, 6, 4, 3, 2, 1, 14, 13, 15, 16, 9, 10, 12, 11]]; 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:=3; braid_class:=1; topological_class:=[1, 1]; is_hyperelliptic:=false; is_cyclic_trigonal:=false; 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, is_hyperelliptic:=is_hyperelliptic) ); # Here we add an action to data. gen_vectors:=[[9, 10, 12, 11, 13, 14, 16, 15, 1, 2, 4, 3, 5, 6, 8, 7, 25, 26, 28, 27, 29, 30, 32, 31, 17, 18, 20, 19, 21, 22, 24, 23], [16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17], [20, 19, 18, 17, 23, 24, 21, 22, 25, 26, 28, 27, 30, 29, 31, 32, 4, 3, 2, 1, 7, 8, 5, 6, 9, 10, 12, 11, 14, 13, 15, 16], [21, 22, 24, 23, 18, 17, 19, 20, 31, 32, 29, 30, 28, 27, 26, 25, 5, 6, 8, 7, 2, 1, 3, 4, 15, 16, 13, 14, 12, 11, 10, 9]]; 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:=4; braid_class:=1; topological_class:=[1, 1]; is_hyperelliptic:=false; is_cyclic_trigonal:=false; 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, is_hyperelliptic:=is_hyperelliptic) );