# GAP code for the lmfdb family of higher genus curves 12.48-7.0.2-2-2-24 # 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:=[48,7]; signature:=[0,2,2,2,24]; genus:=12; r:=Length(signature)-1; g0:=signature[1]; dim:=3*g0-3+r; # Here we add an action to data. gen_vectors:=[[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21, 28, 29, 30, 25, 26, 27, 34, 35, 36, 31, 32, 33, 40, 41, 42, 37, 38, 39, 46, 47, 48, 43, 44, 45], [25, 27, 26, 28, 30, 29, 34, 36, 35, 31, 33, 32, 43, 45, 44, 46, 48, 47, 37, 39, 38, 40, 42, 41, 1, 3, 2, 4, 6, 5, 10, 12, 11, 7, 9, 8, 19, 21, 20, 22, 24, 23, 13, 15, 14, 16, 18, 17], [41, 40, 42, 38, 37, 39, 44, 43, 45, 47, 46, 48, 29, 28, 30, 26, 25, 27, 32, 31, 33, 35, 34, 36, 17, 16, 18, 14, 13, 15, 20, 19, 21, 23, 22, 24, 5, 4, 6, 2, 1, 3, 8, 7, 9, 11, 10, 12], [21, 19, 20, 24, 22, 23, 18, 16, 17, 15, 13, 14, 3, 1, 2, 6, 4, 5, 9, 7, 8, 12, 10, 11, 45, 43, 44, 48, 46, 47, 42, 40, 41, 39, 37, 38, 27, 25, 26, 30, 28, 29, 33, 31, 32, 36, 34, 35]]; 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; is_hyperelliptic:=true; hyp_involution:=PermList([4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21, 28, 29, 30, 25, 26, 27, 34, 35, 36, 31, 32, 33, 40, 41, 42, 37, 38, 39, 46, 47, 48, 43, 44, 45]); 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, hyp_involution:=hyp_involution,is_cyclic_trigonal:=is_cyclic_trigonal) ); # Here we add an action to data. gen_vectors:=[[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21, 28, 29, 30, 25, 26, 27, 34, 35, 36, 31, 32, 33, 40, 41, 42, 37, 38, 39, 46, 47, 48, 43, 44, 45], [25, 27, 26, 28, 30, 29, 34, 36, 35, 31, 33, 32, 43, 45, 44, 46, 48, 47, 37, 39, 38, 40, 42, 41, 1, 3, 2, 4, 6, 5, 10, 12, 11, 7, 9, 8, 19, 21, 20, 22, 24, 23, 13, 15, 14, 16, 18, 17], [39, 38, 37, 42, 41, 40, 48, 47, 46, 45, 44, 43, 27, 26, 25, 30, 29, 28, 36, 35, 34, 33, 32, 31, 15, 14, 13, 18, 17, 16, 24, 23, 22, 21, 20, 19, 3, 2, 1, 6, 5, 4, 12, 11, 10, 9, 8, 7], [23, 24, 22, 20, 21, 19, 14, 15, 13, 17, 18, 16, 5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7, 47, 48, 46, 44, 45, 43, 38, 39, 37, 41, 42, 40, 29, 30, 28, 26, 27, 25, 35, 36, 34, 32, 33, 31]]; 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; is_hyperelliptic:=true; hyp_involution:=PermList([4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21, 28, 29, 30, 25, 26, 27, 34, 35, 36, 31, 32, 33, 40, 41, 42, 37, 38, 39, 46, 47, 48, 43, 44, 45]); 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, hyp_involution:=hyp_involution,is_cyclic_trigonal:=is_cyclic_trigonal) ); # Here we add an action to data. gen_vectors:=[[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21, 28, 29, 30, 25, 26, 27, 34, 35, 36, 31, 32, 33, 40, 41, 42, 37, 38, 39, 46, 47, 48, 43, 44, 45], [25, 27, 26, 28, 30, 29, 34, 36, 35, 31, 33, 32, 43, 45, 44, 46, 48, 47, 37, 39, 38, 40, 42, 41, 1, 3, 2, 4, 6, 5, 10, 12, 11, 7, 9, 8, 19, 21, 20, 22, 24, 23, 13, 15, 14, 16, 18, 17], [42, 41, 40, 39, 38, 37, 45, 44, 43, 48, 47, 46, 30, 29, 28, 27, 26, 25, 33, 32, 31, 36, 35, 34, 18, 17, 16, 15, 14, 13, 21, 20, 19, 24, 23, 22, 6, 5, 4, 3, 2, 1, 9, 8, 7, 12, 11, 10], [20, 21, 19, 23, 24, 22, 17, 18, 16, 14, 15, 13, 2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10, 44, 45, 43, 47, 48, 46, 41, 42, 40, 38, 39, 37, 26, 27, 25, 29, 30, 28, 32, 33, 31, 35, 36, 34]]; 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; is_hyperelliptic:=true; hyp_involution:=PermList([4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21, 28, 29, 30, 25, 26, 27, 34, 35, 36, 31, 32, 33, 40, 41, 42, 37, 38, 39, 46, 47, 48, 43, 44, 45]); 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, hyp_involution:=hyp_involution,is_cyclic_trigonal:=is_cyclic_trigonal) ); # Here we add an action to data. gen_vectors:=[[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21, 28, 29, 30, 25, 26, 27, 34, 35, 36, 31, 32, 33, 40, 41, 42, 37, 38, 39, 46, 47, 48, 43, 44, 45], [25, 27, 26, 28, 30, 29, 34, 36, 35, 31, 33, 32, 43, 45, 44, 46, 48, 47, 37, 39, 38, 40, 42, 41, 1, 3, 2, 4, 6, 5, 10, 12, 11, 7, 9, 8, 19, 21, 20, 22, 24, 23, 13, 15, 14, 16, 18, 17], [38, 37, 39, 41, 40, 42, 47, 46, 48, 44, 43, 45, 26, 25, 27, 29, 28, 30, 35, 34, 36, 32, 31, 33, 14, 13, 15, 17, 16, 18, 23, 22, 24, 20, 19, 21, 2, 1, 3, 5, 4, 6, 11, 10, 12, 8, 7, 9], [24, 22, 23, 21, 19, 20, 15, 13, 14, 18, 16, 17, 6, 4, 5, 3, 1, 2, 12, 10, 11, 9, 7, 8, 48, 46, 47, 45, 43, 44, 39, 37, 38, 42, 40, 41, 30, 28, 29, 27, 25, 26, 36, 34, 35, 33, 31, 32]]; 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; is_hyperelliptic:=true; hyp_involution:=PermList([4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21, 28, 29, 30, 25, 26, 27, 34, 35, 36, 31, 32, 33, 40, 41, 42, 37, 38, 39, 46, 47, 48, 43, 44, 45]); 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, hyp_involution:=hyp_involution,is_cyclic_trigonal:=is_cyclic_trigonal) );