# GAP code for the lmfdb family of higher genus curves 15.60-4.0.2-60-60 # 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:=[60,4]; signature:=[0,2,60,60]; genus:=15; 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, 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, 58, 57, 60, 59], [43, 44, 45, 46, 47, 48, 49, 50, 41, 42, 53, 54, 55, 56, 57, 58, 59, 60, 51, 52, 33, 34, 35, 36, 37, 38, 39, 40, 31, 32, 14, 13, 16, 15, 18, 17, 20, 19, 12, 11, 24, 23, 26, 25, 28, 27, 30, 29, 22, 21, 4, 3, 6, 5, 8, 7, 10, 9, 2, 1], [59, 60, 51, 52, 53, 54, 55, 56, 57, 58, 39, 40, 31, 32, 33, 34, 35, 36, 37, 38, 49, 50, 41, 42, 43, 44, 45, 46, 47, 48, 30, 29, 22, 21, 24, 23, 26, 25, 28, 27, 10, 9, 2, 1, 4, 3, 6, 5, 8, 7, 20, 19, 12, 11, 14, 13, 16, 15, 18, 17]]; 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:=[120,27]; full_sign:=[0,2,4,60]; 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, 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, 58, 57, 60, 59], [46, 45, 48, 47, 50, 49, 42, 41, 44, 43, 56, 55, 58, 57, 60, 59, 52, 51, 54, 53, 36, 35, 38, 37, 40, 39, 32, 31, 34, 33, 15, 16, 17, 18, 19, 20, 11, 12, 13, 14, 25, 26, 27, 28, 29, 30, 21, 22, 23, 24, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4], [58, 57, 60, 59, 52, 51, 54, 53, 56, 55, 38, 37, 40, 39, 32, 31, 34, 33, 36, 35, 48, 47, 50, 49, 42, 41, 44, 43, 46, 45, 27, 28, 29, 30, 21, 22, 23, 24, 25, 26, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 17, 18, 19, 20, 11, 12, 13, 14, 15, 16]]; 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:=[120,27]; full_sign:=[0,2,4,60]; 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, 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, 58, 57, 60, 59], [54, 53, 56, 55, 58, 57, 60, 59, 52, 51, 34, 33, 36, 35, 38, 37, 40, 39, 32, 31, 44, 43, 46, 45, 48, 47, 50, 49, 42, 41, 23, 24, 25, 26, 27, 28, 29, 30, 21, 22, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 13, 14, 15, 16, 17, 18, 19, 20, 11, 12], [50, 49, 42, 41, 44, 43, 46, 45, 48, 47, 60, 59, 52, 51, 54, 53, 56, 55, 58, 57, 40, 39, 32, 31, 34, 33, 36, 35, 38, 37, 19, 20, 11, 12, 13, 14, 15, 16, 17, 18, 29, 30, 21, 22, 23, 24, 25, 26, 27, 28, 9, 10, 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:=3; gen_vect_label:=1; full_auto:=[120,27]; full_sign:=[0,2,4,60]; 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, 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, 58, 57, 60, 59], [47, 48, 49, 50, 41, 42, 43, 44, 45, 46, 57, 58, 59, 60, 51, 52, 53, 54, 55, 56, 37, 38, 39, 40, 31, 32, 33, 34, 35, 36, 18, 17, 20, 19, 12, 11, 14, 13, 16, 15, 28, 27, 30, 29, 22, 21, 24, 23, 26, 25, 8, 7, 10, 9, 2, 1, 4, 3, 6, 5], [55, 56, 57, 58, 59, 60, 51, 52, 53, 54, 35, 36, 37, 38, 39, 40, 31, 32, 33, 34, 45, 46, 47, 48, 49, 50, 41, 42, 43, 44, 26, 25, 28, 27, 30, 29, 22, 21, 24, 23, 6, 5, 8, 7, 10, 9, 2, 1, 4, 3, 16, 15, 18, 17, 20, 19, 12, 11, 14, 13]]; 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:=[120,27]; full_sign:=[0,2,4,60]; 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, 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, 58, 57, 60, 59], [44, 43, 46, 45, 48, 47, 50, 49, 42, 41, 54, 53, 56, 55, 58, 57, 60, 59, 52, 51, 34, 33, 36, 35, 38, 37, 40, 39, 32, 31, 13, 14, 15, 16, 17, 18, 19, 20, 11, 12, 23, 24, 25, 26, 27, 28, 29, 30, 21, 22, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2], [60, 59, 52, 51, 54, 53, 56, 55, 58, 57, 40, 39, 32, 31, 34, 33, 36, 35, 38, 37, 50, 49, 42, 41, 44, 43, 46, 45, 48, 47, 29, 30, 21, 22, 23, 24, 25, 26, 27, 28, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 19, 20, 11, 12, 13, 14, 15, 16, 17, 18]]; 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:=[120,27]; full_sign:=[0,2,4,60]; 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, 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, 58, 57, 60, 59], [45, 46, 47, 48, 49, 50, 41, 42, 43, 44, 55, 56, 57, 58, 59, 60, 51, 52, 53, 54, 35, 36, 37, 38, 39, 40, 31, 32, 33, 34, 16, 15, 18, 17, 20, 19, 12, 11, 14, 13, 26, 25, 28, 27, 30, 29, 22, 21, 24, 23, 6, 5, 8, 7, 10, 9, 2, 1, 4, 3], [57, 58, 59, 60, 51, 52, 53, 54, 55, 56, 37, 38, 39, 40, 31, 32, 33, 34, 35, 36, 47, 48, 49, 50, 41, 42, 43, 44, 45, 46, 28, 27, 30, 29, 22, 21, 24, 23, 26, 25, 8, 7, 10, 9, 2, 1, 4, 3, 6, 5, 18, 17, 20, 19, 12, 11, 14, 13, 16, 15]]; 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:=[120,27]; full_sign:=[0,2,4,60]; 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, 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, 58, 57, 60, 59], [53, 54, 55, 56, 57, 58, 59, 60, 51, 52, 33, 34, 35, 36, 37, 38, 39, 40, 31, 32, 43, 44, 45, 46, 47, 48, 49, 50, 41, 42, 24, 23, 26, 25, 28, 27, 30, 29, 22, 21, 4, 3, 6, 5, 8, 7, 10, 9, 2, 1, 14, 13, 16, 15, 18, 17, 20, 19, 12, 11], [49, 50, 41, 42, 43, 44, 45, 46, 47, 48, 59, 60, 51, 52, 53, 54, 55, 56, 57, 58, 39, 40, 31, 32, 33, 34, 35, 36, 37, 38, 20, 19, 12, 11, 14, 13, 16, 15, 18, 17, 30, 29, 22, 21, 24, 23, 26, 25, 28, 27, 10, 9, 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:=7; gen_vect_label:=1; full_auto:=[120,27]; full_sign:=[0,2,4,60]; 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, 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, 58, 57, 60, 59], [48, 47, 50, 49, 42, 41, 44, 43, 46, 45, 58, 57, 60, 59, 52, 51, 54, 53, 56, 55, 38, 37, 40, 39, 32, 31, 34, 33, 36, 35, 17, 18, 19, 20, 11, 12, 13, 14, 15, 16, 27, 28, 29, 30, 21, 22, 23, 24, 25, 26, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6], [56, 55, 58, 57, 60, 59, 52, 51, 54, 53, 36, 35, 38, 37, 40, 39, 32, 31, 34, 33, 46, 45, 48, 47, 50, 49, 42, 41, 44, 43, 25, 26, 27, 28, 29, 30, 21, 22, 23, 24, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 15, 16, 17, 18, 19, 20, 11, 12, 13, 14]]; perm_list:= List([1..Length(gen_vectors)], x->PermList(gen_vectors[x])); S:=SymmetricGroup(gp_id[1]); G:=Subgroup(S,perm_list); passport_label:=8; gen_vect_label:=1; full_auto:=[120,27]; full_sign:=[0,2,4,60]; 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) );