# GAP code for the lmfdb family of higher genus curves 10.44-3.0.2-2-2-11 # 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:=[44,3]; signature:=[0,2,2,2,11]; genus:=10; r:=Length(signature)-1; g0:=signature[1]; dim:=3*g0-3+r; # Here we add an action to data. gen_vectors:=[[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [23, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 34, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 12, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13], [44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 12, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 23, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 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:=1; gen_vect_label:=1; is_hyperelliptic:=true; hyp_involution:=PermList([12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]); 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:=[[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [23, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 34, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 12, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13], [36, 35, 34, 44, 43, 42, 41, 40, 39, 38, 37, 25, 24, 23, 33, 32, 31, 30, 29, 28, 27, 26, 14, 13, 12, 22, 21, 20, 19, 18, 17, 16, 15, 3, 2, 1, 11, 10, 9, 8, 7, 6, 5, 4], [10, 11, 1, 2, 3, 4, 5, 6, 7, 8, 9, 21, 22, 12, 13, 14, 15, 16, 17, 18, 19, 20, 32, 33, 23, 24, 25, 26, 27, 28, 29, 30, 31, 43, 44, 34, 35, 36, 37, 38, 39, 40, 41, 42]]; 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([12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]); 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:=[[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [23, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 34, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 12, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13], [42, 41, 40, 39, 38, 37, 36, 35, 34, 44, 43, 31, 30, 29, 28, 27, 26, 25, 24, 23, 33, 32, 20, 19, 18, 17, 16, 15, 14, 13, 12, 22, 21, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 10], [4, 5, 6, 7, 8, 9, 10, 11, 1, 2, 3, 15, 16, 17, 18, 19, 20, 21, 22, 12, 13, 14, 26, 27, 28, 29, 30, 31, 32, 33, 23, 24, 25, 37, 38, 39, 40, 41, 42, 43, 44, 34, 35, 36]]; 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([12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]); 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:=[[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [23, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 34, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 12, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13], [38, 37, 36, 35, 34, 44, 43, 42, 41, 40, 39, 27, 26, 25, 24, 23, 33, 32, 31, 30, 29, 28, 16, 15, 14, 13, 12, 22, 21, 20, 19, 18, 17, 5, 4, 3, 2, 1, 11, 10, 9, 8, 7, 6], [8, 9, 10, 11, 1, 2, 3, 4, 5, 6, 7, 19, 20, 21, 22, 12, 13, 14, 15, 16, 17, 18, 30, 31, 32, 33, 23, 24, 25, 26, 27, 28, 29, 41, 42, 43, 44, 34, 35, 36, 37, 38, 39, 40]]; 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([12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]); 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:=[[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [23, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 34, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 1, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 12, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13], [40, 39, 38, 37, 36, 35, 34, 44, 43, 42, 41, 29, 28, 27, 26, 25, 24, 23, 33, 32, 31, 30, 18, 17, 16, 15, 14, 13, 12, 22, 21, 20, 19, 7, 6, 5, 4, 3, 2, 1, 11, 10, 9, 8], [6, 7, 8, 9, 10, 11, 1, 2, 3, 4, 5, 17, 18, 19, 20, 21, 22, 12, 13, 14, 15, 16, 28, 29, 30, 31, 32, 33, 23, 24, 25, 26, 27, 39, 40, 41, 42, 43, 44, 34, 35, 36, 37, 38]]; 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; is_hyperelliptic:=true; hyp_involution:=PermList([12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]); 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) );