# GAP code for the lmfdb family of higher genus curves 7.28-2.0.2-28-28 # 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:=[28,2]; signature:=[0,2,28,28]; genus:=7; r:=Length(signature)-1; g0:=signature[1]; dim:=3*g0-3+r; # 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], [17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 15, 16, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13, 2, 1], [27, 28, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 14, 13, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 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:=1; braid_class:=1; topological_class:=[1, 1]; full_auto:=[56,4]; full_sign:=[0,2,4,28]; 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:=[[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], [22, 21, 24, 23, 26, 25, 28, 27, 16, 15, 18, 17, 20, 19, 7, 8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6], [24, 23, 26, 25, 28, 27, 16, 15, 18, 17, 20, 19, 22, 21, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 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:=2; gen_vect_label:=1; braid_class:=1; topological_class:=[1, 1]; full_auto:=[56,4]; full_sign:=[0,2,4,28]; 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:=[[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], [25, 26, 27, 28, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 12, 11, 14, 13, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], [19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 15, 16, 17, 18, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13, 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:=3; gen_vect_label:=1; braid_class:=1; topological_class:=[1, 1]; full_auto:=[56,4]; full_sign:=[0,2,4,28]; 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:=[[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], [18, 17, 20, 19, 22, 21, 24, 23, 26, 25, 28, 27, 16, 15, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 2], [28, 27, 16, 15, 18, 17, 20, 19, 22, 21, 24, 23, 26, 25, 13, 14, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]]; 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; braid_class:=1; topological_class:=[1, 1]; full_auto:=[56,4]; full_sign:=[0,2,4,28]; 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:=[[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], [21, 22, 23, 24, 25, 26, 27, 28, 15, 16, 17, 18, 19, 20, 8, 7, 10, 9, 12, 11, 14, 13, 2, 1, 4, 3, 6, 5], [23, 24, 25, 26, 27, 28, 15, 16, 17, 18, 19, 20, 21, 22, 10, 9, 12, 11, 14, 13, 2, 1, 4, 3, 6, 5, 8, 7]]; 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; braid_class:=1; topological_class:=[1, 1]; full_auto:=[56,4]; full_sign:=[0,2,4,28]; 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:=[[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], [26, 25, 28, 27, 16, 15, 18, 17, 20, 19, 22, 21, 24, 23, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [20, 19, 22, 21, 24, 23, 26, 25, 28, 27, 16, 15, 18, 17, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 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:=6; gen_vect_label:=1; braid_class:=1; topological_class:=[1, 1]; full_auto:=[56,4]; full_sign:=[0,2,4,28]; 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) );