/* file def.h SYMMETRICA */ /* INT should always be 4 byte */ #ifndef DEF_H /* POSIX says that inttypes.h includes stdint.h */ #include typedef int32_t INT; typedef uint32_t UINT; #define PRIINT PRId32 #define SCNINT SCNd32 #define PRIUINT PRIu32 #define SCNUINT SCNu32 #include #include #include #ifndef TITELTEXT #define TITELTEXT " Thu Feb 26 14:58:10 MET 1998 " #endif # define NO_REDUCE (INT)0 /* TPMcD */ # define POWER_REDUCE (INT)1 /* TPMcD */ # define STD_BASIS (INT)2 /* TPMcD */ #ifdef ULTRIX #define unix #include #endif /* ULTRIX */ #undef TRUE #undef FALSE #define REPORT (INT)3 #define TRUE (INT)1 #define FALSE (INT)0 #define OK (INT)0 #define ERROR (INT)-1 #define ERROR_RETRY (INT)-5 /* AK 020294 */ #define ERROR_EXPLAIN (INT)-6 /* AK 250195 */ /* exit values of symmetrica, parameters to exit */ #define ERROR_BACKGROUND (int) 101 /* AK 210297 */ /* error called while in background mode */ #define ERROR_TIMELIMIT (int) 100 /* AK 210297 */ /* time limit */ #define I2PE (INT)1502960 /* 2 equal parameter */ #define not ! #define IMPROPER (INT)1001 /* MD */ #define NONCOMPARABLE (INT)10 #define FIRSTVARINDEX (INT)11125 #define VARTYP (INT)11124 #define LETTERS (INT)11122 #define NUMERICAL (INT)11223 #define EQUAL (INT)300792 /* return value of check_equal_ */ #define NORESULT (INT)20996 /* return value of check_result_ */ #define FREE (char)1 #define NOFREE (char)0 #define t_SQRAD_CYCLO convert_sqrad_cyclo /* definitionen fuer object.c */ /* NOTE: partition code assumes that there is no unused space in the * object struct when an INT is stored. This requires both OBJECTKIND * and OBJECTSELF to have a size equal to a machine word. */ typedef intptr_t OBJECTKIND; #define PRIOBJECTKIND PRIdPTR typedef union { intptr_t ob_INT; INT * ob_INTpointer; char *ob_charpointer; struct bruch *ob_bruch; struct graph *ob_graph; struct list *ob_list; struct longint *ob_longint; struct matrix *ob_matrix; struct monom *ob_monom; struct number *ob_number; /* MD */ struct partition *ob_partition; struct permutation *ob_permutation; struct reihe *ob_reihe; struct skewpartition *ob_skewpartition; struct symchar *ob_symchar; struct tableaux *ob_tableaux; struct vector *ob_vector; } OBJECTSELF; struct object { OBJECTKIND ob_kind; OBJECTSELF ob_self; }; typedef struct object * OP; /* die verschiedenen typen */ #define INVISIBLE (OBJECTKIND)-2 /* 110102 */ #define INFREELIST (OBJECTKIND)-1 /* 210995 */ #define EMPTY (OBJECTKIND)0 /* 290590 */ #define INTEGER (OBJECTKIND)1 #define VECTOR (OBJECTKIND)2 #define PARTITION (OBJECTKIND)3 #define BRUCH (OBJECTKIND)4 #define FRACTION (OBJECTKIND)4 #define PERMUTATION (OBJECTKIND)6 #define SKEWPARTITION (OBJECTKIND)7 /* 020488 */ #define TABLEAUX (OBJECTKIND)8 /* 020488 */ #define POLYNOM (OBJECTKIND)9 #define SCHUR (OBJECTKIND)10 #define MATRIX (OBJECTKIND)11 #define AUG_PART (OBJECTKIND)12 #define HOM_SYM (OBJECTKIND)13 #define HOMSYM (OBJECTKIND)13 #define SCHUBERT (OBJECTKIND)14 #define INTEGERVECTOR (OBJECTKIND)15 #define INTEGER_VECTOR (OBJECTKIND)15 #define INTVECTOR (OBJECTKIND)15 #define INT_VECTOR (OBJECTKIND)15 #define KOSTKA (OBJECTKIND)16 #define INTINT (OBJECTKIND)17 /* nur fuer test-zwecke */ #define SYMCHAR (OBJECTKIND)18 #define WORD (OBJECTKIND)19 #define LIST (OBJECTKIND)20 /* 210688 */ #define MONOM (OBJECTKIND)21 /*230688*/ #define LONGINT (OBJECTKIND)22 /* 170888 */ #define GEN_CHAR (OBJECTKIND)23 /* 280888 nur fuer test-zwecke */ #define BINTREE (OBJECTKIND)24 /* 291288 */ #define GRAPH (OBJECTKIND)25 /* 210889 */ #define COMPOSITION (OBJECTKIND)26 /* 300889 */ #define KRANZTYPUS (OBJECTKIND)27 /* 280390 */ #define POW_SYM (OBJECTKIND)28 #define POWSYM (OBJECTKIND)28 #define MONOMIAL (OBJECTKIND)29 /* 090992 */ #define BTREE (OBJECTKIND)30 #define KRANZ (OBJECTKIND)31 #define GRAL (OBJECTKIND)32 /* 200691 */ #define GROUPALGEBRA (OBJECTKIND)32 /* 170693 */ #define ELM_SYM (OBJECTKIND)33 /* 090992 */ #define ELMSYM (OBJECTKIND)33 /* 090992 */ #define FINITEFIELD (OBJECTKIND) 35 /* 250193 */ #define FF (OBJECTKIND) 35 /* 250193 */ #define REIHE (OBJECTKIND) 36 /* 090393 */ #define CHARPARTITION (OBJECTKIND) 37 /* 130593 */ /* internal use */ #define CHAR_AUG_PART (OBJECTKIND) 38 /* 170593 */ /* internal use */ #define INTEGERMATRIX (OBJECTKIND)40 /* AK 141293 */ #define CYCLOTOMIC (OBJECTKIND) 41 /* MD */ #define MONOPOLY (OBJECTKIND) 42 /* MD */ #define SQ_RADICAL (OBJECTKIND) 43 /* MD */ #define BITVECTOR (OBJECTKIND) 44 #define LAURENT (OBJECTKIND)45 #define SUBSET (OBJECTKIND)47 /* AK 220997 */ #define FASTPOLYNOM (OBJECTKIND)211093 #define EXPONENTPARTITION (OBJECTKIND)240298 #define SKEWTABLEAUX (OBJECTKIND)20398 #define PARTTABLEAUX (OBJECTKIND)10398 #define BARPERM (OBJECTKIND)230695 #define REVERSEPARTITION (OBJECTKIND)150703 /* only for input */ #define PERMVECTOR (OBJECTKIND)180998 #define PERM_VECTOR (OBJECTKIND)180998 #define PERMUTATIONVECTOR (OBJECTKIND)180998 #define PERMUTATION_VECTOR (OBJECTKIND)180998 #define INTEGERBRUCH (OBJECTKIND)220998 #define INTEGER_BRUCH (OBJECTKIND)220998 #define INTEGERFRACTION (OBJECTKIND)220998 #define INTEGER_FRACTION (OBJECTKIND)220998 #define HASHTABLE (OBJECTKIND)120199 #define QUEUE (OBJECTKIND)251103 #define GALOISRING (OBJECTKIND)211106 #define ANYTYPE (OBJECTKIND)201201 /* for tracing, checking */ #define INTTYPE (OBJECTKIND)020102 /* for tracing, checking */ #ifdef DGUX #define signed #endif /* DGUX */ #ifdef sun #define signed #endif #ifdef hpux #define signed #endif struct loc { INT w2,w1,w0; struct loc *nloc; }; struct longint { struct loc *floc; signed char signum; /* -1,0,+1 */ INT laenge; }; #define GANZSIGNUM(x) ((x)->signum) /* AK 051294 */ #define GANZLAENGE(x) ((x)->laenge) #define GANZNEG(x) ( (x)->signum = -(x)->signum) struct ganzdaten { INT basis,basislaenge,auspos,auslaenge,auszz; char folgezeichen; }; struct zahldaten { char ziffer[13]; INT mehr; INT ziffernzahl; struct loc *fdez; }; struct vector { OP v_length; OP v_self; }; struct REIHE_variablen { INT index; INT potenz; struct REIHE_variablen *weiter; }; struct REIHE_mon { OP coeff; struct REIHE_variablen *zeiger; struct REIHE_mon *ref; }; struct REIHE_poly { INT grad; struct REIHE_mon *unten; struct REIHE_poly *rechts; }; struct reihe { INT exist; INT reihenart; /* Werte: -1,0,1 */ INT z; /* bei Operationen pot und transform */ struct reihe *x,*y; /* Zeiger auf Ursprung bei Verknuepfung */ struct reihe *p; /* zeigt auf Potenzenliste */ INT (*eingabefkt)(); /* zeiger auf Eingabefunktion */ char ope; /* Operation */ struct REIHE_poly *infozeig; }; /* Zeiger auf Reihenglieder */ typedef struct reihe* REIHE_zeiger; struct list { OP l_self; OP l_next; }; struct partition { OBJECTKIND pa_kind; OP pa_self; INT pa_hash; /* AK 240901 */ /* hashwert -1 falls nicht berechnet */ }; #define LASTPARTITION 1234 #define EXPONENT (OBJECTKIND)88 #define FROBENIUS (OBJECTKIND)92 #define LASTCOMP 1234L #define LASTSUBSET 1234L #define LAST_SUBSET 1234L struct permutation { OBJECTKIND p_kind; OP p_self; }; #define LASTLEHMERCODE 12L #define LASTPERMUTATION 13L #define LAST_PERMUTATION 13L #define LAST_FF (INT)170194 #define LASTSHUFFLE 12048802L #define ZYKEL (OBJECTKIND)40888 /* fuer zykelschreibweise */ #define BITREC (OBJECTKIND)230195 /* fuer bitvector rectrice */ #define BAR (OBJECTKIND)25 /* AK 260292 fuer barred perm */ #define BARCYCLE (OBJECTKIND)26 /* AK 260292 fuer barred perm */ struct monom { OP mo_self; OP mo_koeff; }; struct bruch { OP b_oben; OP b_unten; INT b_info; }; #define GEKUERZT 40892L #define NGEKUERZT 408921L struct matrix { OP m_length; OP m_height; OP m_self; INT m_hash; }; #define SINGULAER 2903884 struct skewpartition { OP spa_gross; OP spa_klein; }; struct tableaux { OP t_umriss; OP t_self; }; struct symchar{ OP sy_werte; OP sy_parlist; OP sy_dimension; }; struct graph { OBJECTKIND gr_kind; OP gr_self; }; #define NACHBARLISTE (OBJECTKIND) 1 typedef struct { OP index, deg, poly, autos; } CYCLO_DATA; /* MD */ typedef struct { OP index, deg, poly; } FIELD_DATA; /* MD */ union data { CYCLO_DATA *c_data; FIELD_DATA *f_data; OP o_data; } ; /* MD */ struct number { OP n_self; union data n_data; }; /* MD */ /* return value fuer insert */ #define INSERTEQ 301288 /* falls eq */ #define INSERTOK 3012881 /* falls insert */ #define BINOMLIMIT 13 extern INT binom_values[BINOMLIMIT][BINOMLIMIT]; #ifdef ALLTRUE #define INTEGERTRUE 1 #define VECTORTRUE 1 #define PARTTRUE 1 #define PERMTRUE 1 #define LONGINTTRUE 1 #define MATRIXTRUE 1 #define SCHURTRUE 1 #define HOMSYMTRUE 1 #define POWSYMTRUE 1 #define ELMSYMTRUE 1 #define MONOMIALTRUE 1 #define BRUCHTRUE 1 #define CHARTRUE 1 #define KOSTKATRUE 1 #define SCHUBERTTRUE 1 #define SHUFFLETRUE 1 #define SKEWPARTTRUE 1 #define TABLEAUXTRUE 1 #define WORDTRUE 1 #define KRANZTRUE 1 #define BINTREETRUE 1 #define MONOPOLYTRUE 1 #define SQRADTRUE 1 #define CYCLOTRUE 1 #define NUMBERTRUE 1 #define DGTRUE 1 #define WTTRUE 1 #define SABTRUE 1 #define PLETTRUE 1 #define ZONALTRUE 1 #define GRALTRUE 1 #define FFTRUE 1 #define REIHETRUE 1 #define POLYTRUE 1 #define LAURENTTRUE 1 #define GRTRUE 1 #endif #ifdef FFTRUE #define VECTORTRUE 1 #endif #ifdef GRTRUE #define VECTORTRUE 1 #endif #ifdef POLYTRUE #define VECTORTRUE 1 #endif #ifdef DGTRUE #define SABTRUE 1 /* for gl-m reps */ #define MATRIXTRUE 1 #define CHARTRUE 1 #define PARTTRUE 1 #define NUMBERTRUE 1 #define TABLEAUXTRUE 1 #endif #ifdef ZONALTRUE #define KOSTKATRUE 1 #define CHARTRUE 1 #define MATRIXTRUE 1 #define POLYTRUE 1 #define PARTTRUE 1 #endif #ifdef NUMBERTRUE #define INTEGERTRUE 1 #define BRUCHTRUE 1 #define LISTTRUE 1 #define MONOMTRUE 1 #define SQRADTRUE 1 #define CYCLOTRUE 1 #define MONOPOLYTRUE 1 #endif #ifdef PLETTRUE #define SCHURTRUE 1 #define MATRIXTRUE 1 #define TABLEAUXTRUE 1 #define CHARTRUE 1 #endif #ifdef SKEWPARTTRUE #define PARTTRUE 1 #endif #ifdef KOSTKATRUE #define MATRIXTRUE 1 #define SCHURTRUE 1 #endif #ifdef CHARTRUE #define INTEGERTRUE 1 #define LONGINTTRUE 1 #define VECTORTRUE 1 #define PARTTRUE 1 #define MATRIXTRUE 1 #define SCHURTRUE 1 #define BRUCHTRUE 1 #define KOSTKATRUE 1 #define NUMBERTRUE 1 #define SQRADTRUE 1 #define CYCLOTRUE 1 #define MONOPOLYTRUE 1 #endif #ifdef SCHUBERTTRUE #define POLYTRUE 1 #define PARTTRUE 1 #define PERMTRUE 1 #define VECTORTRUE 1 #define INTEGERTRUE 1 #endif #ifdef TABLEAUXTRUE #define WORDTRUE 1 #define VECTORTRUE 1 #define MATRIXTRUE 1 #endif #ifdef SCHURTRUE #define BINTREETRUE 1 #define POLYTRUE 1 #define PARTTRUE 1 #define PERMTRUE 1 #define INTEGERTRUE 1 #define VECTORTRUE 1 #define SKEWPARTTRUE 1 #endif #ifdef BINTREETRUE #define INTEGERTRUE 1 #endif #ifdef POLYTRUE #define LISTTRUE 1 #define MONOMTRUE 1 #define VECTORTRUE 1 #endif #ifdef PERMTRUE #define PARTTRUE 1 #define INTEGERTRUE 1 #define VECTORTRUE 1 #endif #ifdef PARTTRUE #define INTEGERTRUE 1 #define VECTORTRUE 1 #endif #ifdef VECTORTRUE #define INTEGERTRUE 1 #endif extern INT no_mem_check; extern INT sym_no_results; /* 0 == stored results will be used */ /* 1 == stored results will not be used */ extern OP cons_eins; extern OP cons_negeins; extern OP cons_null; extern OP cons_zwei; extern OP cons_drei; extern FILE *texout; extern INT (*check_time_co)(); extern INT zeilenposition; /* position inside one row of stdout output */ extern INT row_length; /* length of one outputrow */ extern INT tex_row_length; /* length of one tex outputrow */ extern INT integer_format; /* if > 0 number of positions for INTEGER output */ extern INT english_tableau; extern INT no_banner; extern INT kuerzen_yn; extern INT texmath_yn; /* 1 in mathmode */ /* 0 not in mathmode */ extern INT scanoutput_yn; /* 1 no output */ /* 0 bitte output */ extern INT texposition; extern INT doffset; /* AK 160393 */ extern INT sym_background; extern INT sym_www; extern INT sym_timelimit; extern INT freeall_speicherposition;/* global variable for callocobject/freeall */ extern INT freeall_speichersize;/* global variable for callocobject/freeall */ extern OP *freeall_speicher; /* global variable for callocobject/freeall */ extern int SYM_free(); extern char* SYM_malloc(); extern char* SYM_realloc(); extern char* SYM_calloc(); #define SPEICHERSIZE (INT)10000 extern INT freeall_speichersize_max; /* global variable for managment of object space */ #ifdef LONGINTTRUE extern struct ganzdaten gd; /* a global datastructure */ #endif #define div SYM_div #define DEF_H /* from here automatically generated */ extern INT absolute(); extern INT absolute_bruch(); extern INT absolute_integervector(); extern INT absolute_longint(); extern INT absolute_matrix(); extern INT absolute_vector(); extern INT a_charvalue_co(); extern INT a_charvalue(); extern INT add(); extern INT add_adjacency_matrix(); extern INT add_apply(); extern INT add_apply_bruch(); extern INT add_apply_bruch_bruch(); extern INT add_apply_bruch_bruch_pre261101(); extern INT add_apply_bruch_integer(); extern INT add_apply_bruch_scalar(); extern INT add_apply_cyclo(); extern INT add_apply_default(); extern INT add_apply_ff(); extern INT add_apply_gral(); extern INT add_apply_gral_gral(); extern INT add_apply_hashtable(); extern INT add_apply_hashtable(); extern INT add_apply_integer(); extern INT add_apply_integer_bruch(); extern INT add_apply_integer_integer(); extern INT add_apply_integer_longint(); extern INT add_apply_integervector(); extern INT add_apply_laurent(); extern INT add_apply_longint(); extern INT add_apply_longint_integer(); extern INT add_apply_longint_longint(); extern INT add_apply_matrix(); extern INT add_apply_matrix_matrix(); extern INT add_apply_monopoly(); extern INT add_apply_polynom(); extern INT add_apply_polynom_polynom(); extern INT add_apply_polynom_scalar(); extern INT add_apply_polynom_schubert(); extern INT add_apply_reihe(); extern INT add_apply_scalar_bruch(); extern INT add_apply_scalar_polynom(); extern INT add_apply_schubert(); extern INT add_apply_schubert_schubert(); extern INT add_apply_sqrad(); extern INT add_apply_symchar(); extern INT add_apply_symfunc(); extern INT add_apply_symfunc_symfunc(); extern INT add_apply_vector(); extern INT add_bruch(); extern INT add_bruch_bruch(); extern INT add_bruch_integer(); extern INT add_bruch_scalar(); extern INT add_cyclo(); extern INT add_cyclo_cyclo(); extern INT add_elmsym(); extern INT add_elmsym_elmsym(); extern INT add_ff(); extern INT add_galois(); extern INT add_homsym(); extern INT add_homsym_homsym(); extern INT add_integer(); extern INT add_integer_integer(); extern INT add_integer_longint(); extern INT add_integervector(); extern INT addinvers_apply(); extern INT addinvers_apply_bruch(); extern INT addinvers_apply_cyclo(); extern INT addinvers_apply_elmsym(); extern INT addinvers_apply_ff(); extern INT addinvers_apply_galois(); extern INT addinvers_apply_hashtable(); extern INT addinvers_apply_homsym(); extern INT addinvers_apply_integer(); extern INT addinvers_apply_laurent(); extern INT addinvers_apply_longint(); extern INT addinvers_apply_monom(); extern INT addinvers_apply_monomial(); extern INT addinvers_apply_monopoly(); extern INT addinvers_apply_polynom(); extern INT addinvers_apply_powsym(); extern INT addinvers_apply_schur(); extern INT addinvers_apply_sqrad(); extern INT addinvers_apply_symchar(); extern INT addinvers_apply_vector(); extern INT addinvers(); extern INT addinvers_bruch(); extern INT addinvers_cyclo(); extern INT addinvers_ff(); extern INT addinvers_integer(); extern INT addinvers_longint(); extern INT addinvers_matrix(); extern INT addinvers_monom(); extern INT addinvers_monopoly(); extern INT addinvers_polynom(); extern INT addinvers_reihe(); extern INT addinvers_sqrad(); extern INT addinvers_symchar(); extern INT addinvers_vector(); extern INT add_koeff(); extern INT add_laurent(); extern INT add_longint(); extern INT add_longint_integer(); extern INT add_longint_longint(); extern INT add_matrix(); extern INT add_matrix_matrix(); extern INT add_monom(); extern INT add_monomial(); extern INT add_monomial_monomial(); extern INT add_monom_schur(); extern INT add_monopoly(); extern INT add_monopoly_monopoly(); extern INT add_partition(); extern INT add_part_part(); extern INT add_polynom(); extern INT add_polynom_polynom(); extern INT add_powsym(); extern INT add_powsym_powsym(); extern INT add_reihe(); extern INT add_scalar_cyclo(); extern INT add_scalar_monopoly(); extern INT add_scalar_polynom(); extern INT add_scalar_sqrad(); extern INT add_schubert(); extern INT add_schubert_schubert(); extern INT add_schur(); extern INT add_schur_schur(); extern INT add_sqrad(); extern INT add_sqrad_sqrad(); extern INT add_staircase_part(); extern INT add_symchar(); extern INT addtoallvectorelements(); extern INT add_vector(); extern INT ak_make_alt_classes(); extern INT ak_make_alt_partitions(); extern INT ak_plet_phm_integer_partition_(); extern INT all_01_matrices(); extern INT allclasses(); extern INT allclasssums(); extern INT all_codes(); extern INT all_codes(); extern INT all_codes_neu(); extern INT alle_teiler(); extern INT all_inj_codes(); extern INT all_inj_codes(); extern INT all_irred_polynomials(); extern INT allkostka(); extern INT all_lines(); extern INT all_lyndon_words(); extern INT all_orbits_set_rankf(); extern INT all_orbits_set_trace(); extern INT all_orbits_unset_rankf(); extern INT all_orbits_unset_trace(); extern INT all_orbits(); extern INT all_plactic_word(); extern INT all_points(); extern INT all_points_phg(); extern INT all_points_phg(); extern INT all_ppoly(); extern INT all_weintrauben(); extern INT alt_dimension(); extern INT alt_odg_trafo(); extern INT alt_sdg_trafo(); extern INT anfang(); extern INT an_odg(); extern INT an_rz_perm(); extern INT an_sdg(); extern INT an_tafel(); extern INT an_trafo_odg(); extern INT an_trafo_sdg(); extern INT append(); extern INT append_apply(); extern INT append_apply_part(); extern INT append_apply_vector(); extern INT append_behind_matrix_matrix(); extern INT append_below_matrix_matrix(); extern INT append_column_matrix(); extern INT append_part_part(); extern INT append_vector(); extern INT apply_INJDT(); extern INT augpart(); extern INT bar_rectr(); extern INT basis_mod_dg(); extern INT bdg(); extern INT b_d_sc(); extern INT bestimme_D(); extern INT bestimme_D(); extern INT bestimme_fixpunkt(); extern INT bestimme_konjugiertenklasse(); extern INT bestimme_zufallsmatrizen(); extern INT bestimme_zufallsmatrizen(); extern INT b_gk_spa(); extern INT bideterminant(); extern INT bideterminant_tableaux(); extern INT bideterminant_vector(); extern INT bilde_htupel(); extern INT bilde_htupel(); extern INT bin_ggt(); extern INT binom(); extern INT binom_small(); extern INT binom_small(); extern INT binom_small(); extern INT b_i_pa(); extern INT bit(); extern INT bit_longint(); extern INT b_kl_pa(); extern INT b_ksd_n(); extern INT b_ks_o(); extern INT b_ks_pa(); extern INT b_ks_p(); extern INT b_lh_m(); extern INT b_lh_nm(); extern INT b_lhs_m(); extern INT b_l_nv(); extern INT b_ls_v(); extern INT b_l_v(); extern INT b_matrix_tableaux(); extern INT b_ou_b(); extern INT b_o_v(); extern INT b_pa_mon(); extern INT b_pa_s(); extern INT b_perm_vector_kranz(); extern INT brauer_char(); extern INT brouwerlowerbound(); extern INT brouwerupperbound(); extern INT bruch_anfang(); extern INT bruch_ende(); extern INT bruch_not_scalar(); extern INT bru_comp(); extern INT bruhat_comp_perm(); extern INT bruhat_ideal(); extern INT bruhat_ideal_strong(); extern INT bruhat_ideal_weak(); extern INT bruhat_interval_strong(); extern INT bruhat_interval_weak(); extern INT bruhat_rank_function(); extern INT b_scalar_elmsym(); extern INT b_scalar_homsym(); extern INT b_scalar_monomial(); extern INT b_scalar_powsym(); extern INT b_scalar_schur(); extern INT b_sk_mo(); extern INT b_skn_mp(); extern INT b_skn_po(); extern INT b_skn_s(); extern INT b_skn_sch(); extern INT b_sn_e(); extern INT b_sn_h(); extern INT b_sn_l(); extern INT b_sn_mon(); extern INT b_sn_po(); extern INT b_sn_ps(); extern INT b_sn_s(); extern INT b_s_po(); extern INT build_gls_dist(); extern INT build_gls_dist(); extern INT build_lc (); extern INT build_propab_vector(); extern INT b_us_t(); extern INT b_u_t(); extern INT B_W(); extern INT B_W(); extern INT b_wpd_sc(); extern INT calculate_fixed_point_number(); extern OP callocobject(); extern INT callocobject_anfang(); extern INT callocobject_ende(); extern OP callocobject_fast(); extern OP callocobject_magma(); extern INT cardinality_pgkq(); extern INT cast_apply_barperm(); extern INT cast_apply_bruch(); extern INT cast_apply_elmsym(); extern INT cast_apply_ff(); extern INT cast_apply_homsym(); extern INT cast_apply_integer(); extern INT cast_apply(); extern INT cast_apply_matrix(); extern INT cast_apply_monom(); extern INT cast_apply_monomial(); extern INT cast_apply_monopoly(); extern INT cast_apply_part(); extern INT cast_apply_perm(); extern INT cast_apply_polynom(); extern INT cast_apply_powsym(); extern INT cast_apply_schur(); extern INT cast_apply_schubert(); extern INT cast_apply_tableaux(); extern INT cast_elmsym(); extern INT cast_homsym(); extern INT cast_monomial(); extern INT cast_powsym(); extern INT cast_schur(); extern INT c_AUGPART_PARTITION(); extern INT c_b_o(); extern INT c_b_u(); extern INT c_CHARAUGPART_CHARPARTITION(); extern INT c_CHARPARTITION_CHARAUGPART(); extern INT cc_muir_mms_partition_partition_(); extern INT cc_muir_mms_partition_partition_(); extern INT cc_plet_pes_integer_partition(); extern INT cc_plet_phs_integer_partition(); extern INT cc_plet_pss_integer_partition(); extern INT cc_plet_pss_partition_partition(); extern INT Cdeg(); extern INT c_ff_di(); extern INT c_ff_ip(); extern INT Cgen(); extern INT c_gr_k(); extern INT c_gr_s(); extern INT change_column_ij(); extern INT change_row_ij(); extern INT characteristic_polynom_faster(); extern INT characteristic_polynom(); extern INT characteristic_polynom_superfast(); extern INT characteristik_symchar(); extern INT characteristik_to_symchar(); extern INT character_polynom(); extern INT charakteristik_to_ypolynom(); extern INT charge_tableaux(); extern INT charge_word(); extern INT char_matrix_scalar_product(); extern INT chartafel(); extern INT chartafel_bit(); extern INT chartafel_nonbit(); extern INT chartafel_partvector(); extern INT chartafel_symfunc(); extern INT chartafel_symfunc(); extern INT charvalue_bit (); extern INT charvalue(); extern INT charvalue_tafel_part(); extern INT check_braid (); extern INT check_commute (); extern INT check_equal_2a(); extern INT check_equal_2(); extern INT check_equal_3(); extern INT check_equal_4(); extern INT check_hecke_generators (); extern INT check_hecke_quadratic (); extern INT check_longint(); extern INT check_result_0(); extern INT check_result_1(); extern INT check_result_2(); extern INT check_result_3(); extern INT check_result_5(); extern INT check_selforthogonal_generatormatrix(); extern INT check_time(); extern INT check_zeilenposition(); extern INT check_zero_matrix (); extern INT c_i_i(); extern INT c_ijk_sn(); extern INT c_ijk_sn_tafel(); extern INT c_ij_sn(); extern INT c_i_n_an(); extern INT c_i_n(); extern INT c_kr_g(); extern INT c_kr_v(); extern INT class_bar(); extern INT class_label_glnq_co(); extern INT class_label_glnq(); extern INT class_label(); extern INT class_mult(); extern INT class_mult_part_part(); extern INT class_mult_schurmonom(); extern INT class_mult_schur(); extern INT class(); extern INT class_rep_bar(); extern INT class_rep_kranz(); extern INT class_rep(); extern INT c_l_n(); extern INT clone_size_hashtable(); extern INT c_l_s(); extern INT c_m_h(); extern INT c_m_hash(); extern INT c_m_l(); extern INT c_mo_k(); extern INT c_mo_s(); extern INT c_m_s(); extern INT c_n_d(); extern INT c_n_s(); extern INT co_070295(); extern INT code_mod_into_ord2(); extern INT code_mod_into_ord(); extern INT coeff_of_in(); extern INT c_o_k(); extern INT co_k_dimmod(); extern INT columns_standardise_tableau (); extern INT column_standardise_tableau (); extern INT columnwordoftableaux(); extern INT comp(); extern INT comp_bigr_bigr(); extern INT comp_bigr_perm(); extern INT comp_bruch(); extern INT comp_bruch_scalar(); extern INT comp_bv(); extern INT comp_colex_part(); extern INT comp_colex_schurmonom(); extern INT comp_colex_vector(); extern INT comp_cyclo(); extern INT comp_ff(); extern INT comp_galois(); extern INT comp_integer(); extern INT comp_integer_integer(); extern INT comp_integermatrix(); extern INT comp_integervector(); extern INT comp_kranztafel(); extern INT complete_complete_plet(); extern INT complete_schur_plet(); extern INT complex_conjugate(); extern INT comp_lex_perm(); extern INT comp_list(); extern INT comp_list_co(); extern INT comp_longint(); extern INT comp_longint_integer(); extern INT comp_matrix(); extern INT comp_monom(); extern INT comp_monomelmsym(); extern INT comp_monomhomsym(); extern INT comp_monommonomial(); extern INT comp_monompowsym(); extern INT comp_monomschur(); extern INT comp_monomvector_monomvector(); extern INT comp_monopoly(); extern INT comp_number(); extern INT comp_numeric_vector(); extern INT comp_partition(); extern INT comp_partition_partition(); extern INT comp_permutation(); extern INT comp_permutation_pol(); extern INT comp_polynom(); extern INT comp_polynom_scalar(); extern INT comp_reihe(); extern INT comp_skewpartition(); extern INT comp_skewpartition_skewpartition(); extern INT comp_sqrad(); extern INT comp_symchar(); extern INT comp_tableaux(); extern INT compute_complete_with_alphabet(); extern INT compute_elmsym_with_alphabet(); extern INT compute_gl_charvalue(); extern INT compute_gl_c_ijk(); extern INT compute_gl_cl_classorder(); extern INT compute_gl_il_dimension(); extern INT compute_monomial_with_alphabet(); extern INT compute_power_with_alphabet(); extern INT compute_schur(); extern INT compute_schur_with_alphabet_det(); extern INT compute_schur_with_alphabet(); extern INT compute_skewschur_with_alphabet_det(); extern INT compute_zonal_with_alphabet(); extern INT comp_vector(); extern INT comp_word(); extern INT conj_cyclo(); extern INT conj_sqrad(); extern INT conjugate(); extern INT conjugate_elmsym(); extern INT conjugate_homsym(); extern INT conjugate_monomial(); extern INT conjugate_partition(); extern INT conjugate_powsym(); extern INT conjugate_schur(); extern INT conjugate_tableaux(); extern INT conjugation(); extern INT consp_polynom(); extern INT contain_comp_part(); extern INT content(); extern INT content_polynom(); extern INT content_tableaux(); extern INT content_word(); extern INT convert_cyclo_scalar(); extern INT convert_radical_cyclo(); extern INT convert_sqrad_cyclo(); extern INT convert_sqrad_scalar(); extern INT co_polya3_sub(); extern INT co_polya_sub(); extern INT copy(); extern INT copy_bintree(); extern INT copy_bitvector(); extern INT copy_bruch(); extern INT copy_composition(); extern INT copy_elmsym(); extern INT copy_ff(); extern INT copy_galois(); extern INT copy_graph(); extern INT copy_hashtable(); extern INT copy_homsym(); extern INT copy_integer(); extern INT copy_integermatrix(); extern INT copy_integervector(); extern INT copy_kranztypus(); extern INT copy_kranz(); extern INT copy_laurent(); extern INT copy_list(); extern INT copy_longint(); extern INT copy_matrix(); extern INT copy_monom(); extern INT copy_monomial(); extern INT copy_number(); extern INT copy_partition(); extern INT copy_permutation(); extern INT copy_polynom(); extern INT copy_powsym(); extern INT copy_queue(); extern INT copy_reihe(); extern INT copy_schur(); extern INT copy_skewpartition(); extern INT copy_subset(); extern INT copy_symchar(); extern INT copy_tableaux(); extern INT copy_vector(); extern INT copy_word(); extern INT c_o_s(); extern INT Cosinus_eingabe(); extern INT co_table_of_R_nkq(); extern INT co_zykelind_pglkq(); extern INT c_pa_hash(); extern INT c_pa_k(); extern INT c_PARTITION_AUGPART(); extern INT c_pa_s(); extern INT c_p_k(); extern INT c_p_s(); extern INT c_sc_d(); extern INT c_sch_n(); extern INT c_sc_p(); extern INT c_sc_w(); extern INT c_s_n(); extern INT c_spa_g(); extern INT c_spa_k(); extern INT c_t_s(); extern INT c_t_u(); extern INT c_v_i(); extern INT c_v_l(); extern INT c_v_s(); extern INT cycliccodes_poly_matrix(); extern INT cyclic_tafel(); extern INT cyclo_an_tafel(); extern INT cyclo_odg(); extern INT debruijn_all_functions(); extern INT debruijn_inj_functions(); extern INT debugprint(); extern INT debugprint_ff(); extern INT debugprint_longint(); extern INT debugprint_object(); extern INT debugprint_reihe(); extern INT dec(); extern INT dec_integer(); extern INT dec_integervector(); extern INT dec_longint(); extern INT decompose_primepower(); extern INT dec_partition(); extern INT dec_permutation(); extern INT decp_mat(); extern INT decreasingp_vector(); extern INT dec_vector(); extern INT degree_monopoly(); extern INT degree_polynom(); extern INT delete_column_matrix(); extern INT delete_entry_vector(); extern INT delete_row_matrix(); extern INT derivative(); extern INT det270588(); extern INT det(); extern INT det_imm_matrix(); extern INT det_mat_imm(); extern INT det_matrix(); extern INT det_mat_tri(); extern INT dg_mp(); extern INT diagramm_permutation(); extern INT dimension_augpart(); extern INT dimension_bit(); extern INT dimension_mod(); extern INT dimension(); extern INT dimension_partition(); extern INT dimension_schubert(); extern INT dimension_schur(); extern INT dimension_skewpartition(); extern INT dimension_symmetrization(); extern INT dimino(); extern INT display(); extern INT display_schubert(); extern INT distanzdiagramm(); extern INT div(); extern INT div_apply(); extern INT div_apply_integer(); extern INT div_default(); extern INT divdiff(); extern INT divdiff_bar(); extern INT divdiff_perm_schubert(); extern INT divdiff_schubert(); extern INT divideddifference_bar(); extern INT divideddifference(); extern INT divideddiff_lc(); extern INT divideddiff_permutation(); extern INT divideddiff_rz_bar(); extern INT divideddiff_rz(); extern INT dixonwilf_bincodes(); extern INT dixonwilf_primcodes(); extern INT dixonwilf_primcodes(); extern INT dixon_wilf_transversal(); extern INT dom_comp_part(); extern INT double_apply(); extern INT double_apply_default(); extern INT double_apply_longint(); extern INT double_hashtable(); extern INT ds_j_wt(); extern INT durfee_size_part(); extern INT dynamicp(); extern INT dz_i_wt(); extern INT E_eingabe(); extern INT eins(); extern INT eins_default(); extern INT eins_ff(); extern INT eins_ff_given_q(); extern INT eins_galois(); extern INT eins_gr_given_c_d(); extern INT einsp(); extern INT einsp_bitvector(); extern INT einsp_bruch(); extern INT einsp_cyclotomic(); extern INT einsp_ff(); extern INT einsp_galois(); extern INT einsp_integer(); extern INT einsp_integervector(); extern INT einsp_kranz(); extern INT einsp_longint(); extern INT einsp_matrix(); extern INT einsp_monopoly(); extern INT einsp_permutation(); extern INT einsp_polynom(); extern INT einsp_reihe(); extern INT einsp_schubert(); extern INT einsp_sqrad(); extern INT einsp_symchar(); extern INT einsp_symfunc(); extern INT einsp_vector(); extern INT elementarp_permutation(); extern INT elementary_schur_plet(); extern INT embedding_mod_into_ord(); extern INT empty_listp(); extern INT empty_object(); extern INT emptyp(); extern INT ende(); extern INT en_forme(); extern INT enter_list_to_matrix (); extern INT eq(); extern INT eq_cyclotomic(); extern INT eq_fieldobject_int(); extern INT eq_integer(); extern INT eq_integervector_integervector(); extern INT eq_longint_longint(); extern INT eq_matrix(); extern INT eq_monomsymfunc(); extern INT eq_monomsymfunchash(); extern INT eq_partition(); extern INT eq_partition_partition(); extern INT eq_permutation(); extern INT eq_sqrad(); extern INT equal_2_error(); extern INT equal_parts(); extern INT eq_vector(); extern INT eqv(); extern INT error_during_computation_code(); extern INT error_during_computation(); extern INT error(); extern INT ersetze_zeile(); extern INT euler_phi(); extern INT eval_2schubert(); extern INT eval_char_polynom(); extern INT eval_monopoly(); extern INT eval_polynom_dir_prod(); extern INT eval_polynom(); extern INT even(); extern INT even_integer(); extern INT even_longint(); extern INT even_partition(); extern INT even_permutation(); extern INT exchange_alphabets(); extern INT exor_bitvector_apply(); extern INT Exp_eingabe(); extern INT extended_ggt(); extern INT factorize(); extern INT factorize_integer(); extern INT fakul_longintresult(); extern INT fakul(); extern INT fastrectr(); extern INT fatal_error(); extern INT ferrers(); extern INT ferrers_partition(); extern INT ferrers_skewpartition(); extern INT ff_anfang(); extern INT ff_ende(); extern INT fill_left_down_matrix(); extern INT filter_apply_hashtable(); extern INT filter_apply_list(); extern INT filter_list(); extern OP find_1result_hashtable(); extern OP find_2result_hashtable(); extern OP find (); extern OP find_bintree(); extern INT find_code_given_nkqd(); extern INT find_code_given_nkqd_gen_tim_bou(); extern OP find_hashtable(); extern INT find_knuth_tab_entry(); extern OP findmax_elmsym(); extern OP findmax_homsym(); extern OP findmax_monomial(); extern OP findmax_powsym(); extern OP findmax_schur(); extern OP findmax_vector(); extern OP findmin_elmsym(); extern OP findmin_homsym(); extern OP findmin_monomial(); extern OP findmin_powsym(); extern OP findmin_schur(); extern OP find_monomial(); extern INT find_non_root_standard_pos (); extern INT find_non_rowstandard_pos (); extern OP find_schur(); extern INT find_tab_entry(); extern OP find_teh_integer(); extern OP find_teh_integer(); extern OP find_tem_integer(); extern OP find_tep_integer(); extern OP find_tep_integer(); extern OP find_the_integer(); extern OP find_thm_integer(); extern OP find_thp_integer(); extern OP find_thp_integer(); extern OP find_tme_integer(); extern OP find_tme_integer(); extern OP find_tmh_integer(); extern OP find_tmh_integer(); extern OP find_tmh_integer(); extern OP find_tpe_integer(); extern OP find_tph_integer(); extern OP find_user_bintree(); extern OP find_vector(); extern INT first_bar(); extern INT first_composition(); extern INT first_ff(); extern INT first_ff_given_q(); extern INT first_gfp_vector(); extern INT first_gfp_vector(); extern INT first_gr_given_c_d(); extern INT first(); extern INT first_kranztypus(); extern INT first_lehmercode(); extern INT first_lex_tableaux(); extern INT first_part_EXPONENT(); extern INT first_partition(); extern INT first_part_VECTOR(); extern INT first_perm_n_invers(); extern INT first_permutation(); extern INT first_pgp_vector(); extern INT first_pgp_vector(); extern INT first_prime_factor(); extern INT first_subset(); extern INT first_tableaux(); extern INT first_tab_perm(); extern INT fprint_bintree(); extern INT fprint_bitvector(); extern INT fprint_bm(); extern INT fprint_bruch(); extern INT fprint_ff(); extern INT fprint_graph(); extern INT fprint_hashtable(); extern INT fprint_integer(); extern INT fprint_list(); extern INT fprintln(); extern INT fprint_longint(); extern INT fprint_matrix(); extern INT fprint_monom(); extern INT fprint_number(); extern INT fprint(); extern INT fprint_partition(); extern INT fprint_permutation(); extern INT fprint_queue(); extern INT fprint_reihe(); extern INT fprint_skewpartition(); extern INT fprint_symchar(); extern INT fprint_tableaux(); extern INT fprint_vector(); extern INT freeall(); extern INT freeall_magma(); extern INT free_cyclotomic_parameters (); extern INT freemonom(); extern INT freepartition(); extern INT free_root_parameters (); extern INT freeself(); extern INT freeself_bintree(); extern INT freeself_bitvector(); extern INT freeself_bruch(); extern INT freeself_ff(); extern INT freeself_galois(); extern INT freeself_graph(); extern INT freeself_hashtable(); extern INT freeself_integer(); extern INT freeself_integermatrix(); extern INT freeself_integervector(); extern INT freeself_kranz(); extern INT freeself_kranztypus(); extern INT freeself_laurent(); extern INT freeself_list(); extern INT freeself_longint(); extern INT freeself_matrix(); extern INT freeself_monom(); extern INT freeself_number(); extern INT freeself_partition(); extern INT freeself_permutation(); extern INT freeself_reihe(); extern INT freeself_skewpartition(); extern INT freeself_symchar(); extern INT freeself_tableaux(); extern INT freeself_vector(); extern INT free_useful_monopolies (); extern INT freevectorstruct(); extern INT freevectorstruct(); extern INT frip_latex_matrix_to_table(); extern INT frip_latex_matrix_to_table(); extern INT frip_latex_zykelind(); extern INT frobenius_elmsym(); extern INT frobenius_homsym(); extern INT frobenius_monomial(); extern INT frobenius_powsym(); extern INT frobenius_schur(); extern INT from_loesung_to_generatormatrix(); extern INT from_loesung_to_generatormatrix(); extern INT from_loesung_to_maximaldistanz(); extern INT from_loesung_to_minimaldistanz(); extern INT from_loesung_to_minimaldistanz(); extern INT from_loesung_to_weightenumerator(); extern INT from_loesung_to_weightenumerator(); extern INT fusedmemory(); extern INT galois_anfang(); extern INT galois_ende(); extern INT ganzdiv(); extern INT ganzdiv_apply(); extern INT ganzdiv_apply_integer(); extern INT ganzdiv_apply_longint(); extern INT ganzdiv_apply_longint_integer(); extern INT ganzdiv_apply_longint_longint(); extern INT ganzdiv_integer(); extern INT ganzdiv_integer_integer(); extern INT ganzdiv_integer_longint(); extern INT ganzdiv_longint(); extern INT ganzdiv_longint_integer(); extern INT ganzdiv_longint_longint(); extern INT ganzsquareroot(); extern INT ganzsquareroot_integer(); extern INT ganzsquareroot_longint(); extern INT garnir(); extern INT gauss_form(); extern INT gauss_form(); extern INT gauss_numbers(); extern INT gauss_polynom(); extern INT GaussRecInternal(); extern INT gauss_schubert_polynom(); extern INT gauss_triangular_apply_co(); extern INT gauss_triangular_apply_nodiv(); extern INT gauss_triangular_apply(); extern INT gcd_ex(); extern INT gcd_int_po(); extern INT gcd_mp(); extern INT gcd_mp_lent(); extern INT ge(); extern INT generate_root_tableaux (); extern INT generate_standard_tableaux (); extern INT generator_glkq_singer(); extern INT generator_glkq_sn(); extern INT generators_glnq(); extern INT generators_slnq(); extern INT gengroup(); extern INT gen_mat(); extern INT genpoly_QRcode(); extern INT gen_smat(); extern INT get_ax_dist(); extern INT get_bm_ij(); extern INT get_bv_i(); extern INT get_ff_irred(); extern INT get_galois_irred(); extern INT get_incidence(); extern INT get_incidence_caps(); extern INT get_incidence(); extern INT get_incidence_phg(); extern INT get_incidence_set_maxorbits(); extern INT get_index(); extern INT get_level_vector_of_verband(); extern INT get_orb_rep(); extern INT get_perm(); extern INT get_position(); extern INT get_tex_polynom_parameter(); extern INT get_time(); extern INT gewicht_v(); extern INT gewicht_wt(); extern INT Ggen(); extern INT ggt(); extern INT ggt_field_polynom(); extern INT ggt_i(); extern INT ggt_integer(); extern INT ggt_integer_integer(); extern INT ggt_integer_integer_slow(); extern INT ggt_integer_longint(); extern INT ggt_integer_slow(); extern INT ggt_longint(); extern INT ggt_longint_integer(); extern INT ggt_longint_longint(); extern INT ggt_longint_longint_sub(); extern INT ggt_polynom(); extern INT giambelli_matrix(); extern INT gl_character (); extern INT gl_dimension (); extern INT glm_B_W(); extern INT glm_B_W(); extern INT glm_get_BV(); extern INT glm_get_BV(); extern INT glm_homtest(); extern INT glmndg(); extern INT glm_sab(); extern INT glm_sab(); extern INT glpdg(); extern INT gl_tableaux (); extern INT gr(); extern INT gram_schmidt(); extern INT grf_An(); extern INT grf_arb(); extern INT grf_Cn(); extern INT grf_Dn(); extern INT grf_Sn(); extern INT griesmerbound(); extern INT group_gen(); extern INT grouporder_kranz(); extern INT growingorder_schur(); extern INT gt(); extern INT gupta_nm(); extern INT gupta_nm_speicher(); extern INT gupta_tafel(); extern INT half_apply(); extern INT half_apply_longint(); extern INT hall_littlewood(); extern INT hall_littlewood_alt(); extern INT hall_littlewood_dij(); extern INT hall_littlewood_tafel(); extern INT hamming_distance_vector(); extern INT hash(); extern INT hash_ende(); extern INT hash_ff(); extern INT hash_integervector(); extern INT hash_list(); extern INT hash_matrix(); extern INT hash_monompartition(); extern INT hash_partition(); extern INT hash_skewpartition(); extern INT hashv(); extern INT has_one_variable(); extern INT hecke_action_lc_on_lc (); extern INT hecke_action_perm_on_hecke (); extern INT hecke_action_perm_on_lc (); extern INT hecke_add (); extern INT hecke_dg(); extern INT hecke_generator_reps (); extern INT hecke_mult (); extern INT hecke_root_generator_reps (); extern INT hecke_scale (); extern INT hfix_in_ww(); extern INT hoch(); extern INT hoch_bruch(); extern INT hoch_bruch_integer(); extern INT hoch_bruch_longint(); extern INT hoch_default(); extern INT hoch_default(); extern INT hoch_integer(); extern INT hoch_integer_integer(); extern INT hoch_integer_longint(); extern INT hoch_longint(); extern INT hoch_longint_integer(); extern INT hoch_longint_longint(); extern INT hoch_pre200902(); extern INT _homtest(); extern INT _homtest(); extern INT hook_diagramm(); extern INT hook_length_augpart(); extern INT hook_length(); extern INT hookp(); extern INT hook_partition(); extern INT hook_part(); extern INT horizontal_sum(); extern INT hplus(); extern INT idempotent(); extern INT immanente_matrix(); extern INT inc(); extern INT inc_bitvector(); extern INT inc_integer(); extern INT inc_longint(); extern INT inc_matrix(); extern INT inc_matrix_column_co(); extern INT inc_matrix_row_co(); extern INT inc_partition(); extern INT inc_permutation(); extern INT inc_reihe(); extern INT inc_tableaux(); extern INT inc_vector(); extern INT inc_vector_co(); extern INT index_galois(); extern INT indexofpart(); extern INT index_vector(); extern INT index_vector_binary(); extern INT inf_bitvector_apply(); extern INT inf_bitvector(); extern INT init_bintree(); extern INT init_cyclo(); extern INT init_elmsym(); extern INT init_galois_global(); extern INT init_hall_littlewood(); extern INT init_hashtable(); extern INT init_homsym(); extern INT init(); extern INT init_kostka(); extern INT init_kranz(); extern INT init_longint(); extern INT init_monomial(); extern INT init_polynom(); extern INT init_powsym(); extern INT init_queue(); extern INT init_reihe(); extern INT init_schur(); extern INT init_size_hashtable(); extern INT init_sqrad(); extern INT innermaxmofn(); extern INT inner_tensor_sc(); extern INT input_glmn(); extern INT input_lc_permutations (); extern INT input_tableau (); extern INT insert(); extern INT insert_bintree(); extern INT insert_bt_bt(); extern INT insert_elmsym_hashtable(); extern INT insert_entry_vector(); extern INT insert_hashtable(); extern INT insert_hashtable_hashtable(); extern INT insert_homsym_hashtable(); extern INT insert_list_list_2(); extern INT insert_list_list(); extern INT insert_list(); extern INT insert_monomial_hashtable(); extern INT insert_powsym_hashtable(); extern INT insert_scalar_hashtable(); extern INT insert_schur_hashtable(); extern INT integer_factor(); extern INT integer_factors_to_integer(); extern INT integer_primep(); extern INT integer_primep(); extern INT intlog(); extern INT intlog_int(); extern INT intlog_longint(); extern INT invers(); extern INT invers_apply(); extern INT invers_apply_bruch(); extern INT invers_apply_integer(); extern INT invers_apply_longint(); extern INT invers_apply_ff(); extern INT invers_bar(); extern INT invers_bitvector(); extern INT invers_bruch(); extern INT invers_cyclo(); extern INT inverse_jeudetaquin_tableaux(); extern INT inverse_nilplactic_jeudetaquin_tableaux(); extern INT invers_ff(); extern INT invers_galois(); extern INT invers_integer(); extern INT inversion_matrix_perm(); extern INT invers_kostka_tafel(); extern INT invers_kranz(); extern INT invers_laurent(); extern INT invers_longint(); extern INT invers_matrix(); extern INT invers_monopoly(); extern INT inversordcen(); extern INT invers_permutation(); extern INT invers_polynom(); extern INT invers_POLYNOM(); extern INT invers_sqrad(); extern INT is_graphical(); extern INT is_scalar_polynom(); extern INT is_scalar_reihe(); extern INT is_selfconjugate(); extern INT jacobi(); extern INT jacobitrudimatrix(); extern INT jeudetaquin_tableaux(); extern INT johnson_graph_adjacency_matrix(); extern INT kgv(); extern INT kk_280604 (); extern INT Kn_adjacency_matrix(); extern INT knuth_row_delete_step(); extern INT knuth_row_insert_step(); extern INT knuth_twoword(); extern INT konj_gral_perm(); extern INT konj_perm_perm(); extern INT konjugation2(); extern INT konjugation(); extern INT konjugierende(); extern INT konjugiertenklassen_glkp(); extern INT konjugiertenklassen_glkp(); extern INT kostka_character(); extern INT kostka_number(); extern INT kostka_number_partition(); extern INT kostka_number_skewpartition(); extern INT kostka_tab(); extern INT kostka_tafel(); extern INT kranztafel(); extern INT kranztypus_charakteristik(); extern INT kranztypus_kranztypus_monom(); extern INT kranztypus_to_matrix(); extern INT kronecker(); extern INT kronecker_product(); extern INT krz(); extern INT kuerzen(); extern INT kuerzen_integer_integer(); extern INT kuerzen_integer_integer(); extern INT kuerzen_integer_longint(); extern INT kuerzen_integer_longint(); extern INT kuerzen_integral(); extern INT kuerzen_longint_integer(); extern INT kuerzen_longint_integer(); extern INT kuerzen_longint_longint(); extern INT kuerzen_longint_longint(); extern INT kung_formel(); extern INT lagrange_polynom(); extern INT last_lehmercode(); extern INT lastof(); extern INT lastof_integervector(); extern INT lastof_partition(); extern INT lastof_skewpartition(); extern INT lastof_vector(); extern INT lastp(); extern INT last_part_EXPONENT(); extern INT last_partition(); extern INT last_part_VECTOR(); extern INT last_permutation(); extern INT lastp_list(); extern INT latex_glm_dar(); extern INT latex_kranztafel(); extern INT latex_line(); extern INT latex_verband(); extern INT latticepword(); extern INT l_complete_complete_plet(); extern INT l_complete_schur_plet(); extern INT ldcf_monopoly(); extern INT ldcf_mp(); extern INT ldrei_neu(); extern INT ldrei_neu_get_zeitlimit(); extern INT ldrei_neu_set_anzahl(); extern INT ldrei_neu_set_keepgls(); extern INT ldrei_neu_set_mckay(); extern INT ldrei_neu_set_zeitlimit(); extern INT le(); extern INT leftkey_wt(); extern INT lehmercode2_permutation(); extern INT lehmercode(); extern INT lehmercode_bar(); extern INT lehmercode_permutation(); extern INT lehmercode_tableaux(); extern INT lehmercode_vector_bar(); extern INT lehmercode_vector(); extern INT l_elementary_schur_plet(); extern INT length(); extern INT length_bar(); extern INT length_bintree(); extern INT length_comp_part(); extern INT length_list(); extern INT length_partition(); extern INT length_permutation(); extern INT length_reihe(); extern INT length_skewpartition(); extern INT length_vector(); extern INT line_of_two_points(); extern INT list_anfang(); extern INT list_ende(); extern INT listp(); extern INT local_anfang(); extern INT local_ende(); extern INT longint_ende(); extern INT l_outerproduct_schur_lrs(); extern INT l_powerproduct_schur_plet(); extern INT l_power_schur_plet(); extern INT l_schur_powerproduct_schur_plet_mult(); extern INT l_schur_power_schur_plet_mult(); extern INT l_schur_schur_plet(); extern INT l_schur_schur_pletbis(); extern INT lt(); extern INT lyndon_orb(); extern INT m_2schubert_wt(); extern INT mahh_hashtable_hashtable_(); extern INT mahh_integer_homsym_(); extern INT mahh_partition_hashtable_(); extern INT make_all_st_tabs(); extern INT make_alt_classes(); extern INT makealtclassreps(); extern INT make_alt_partitions(); extern INT make_coprimes(); extern INT make_cyclotomic_monopoly(); extern INT make_ij_part(); extern INT make_index_coeff_power_cyclo(); extern INT make_index_power_cyclo(); extern INT make_monopoly_sqrad(); extern INT make_neu_partij_schur(); extern INT make_n_id(); extern INT make_n_kelmtrans(); extern INT make_n_transpositionmatrix(); extern INT make_nzykel(); extern INT make_partij_perm(); extern INT make_partij_schur(); extern INT make_real_cycletype(); extern INT make_scalar_cyclo(); extern INT make_scalar_sqrad(); extern INT make_tab_signs(); extern INT make_unitary0_monopoly(); extern INT make_unitary_eins_monopoly(); extern INT makevectorof_class_bar(); extern INT makevectorof_class_rep_bar(); extern INT makevectorof_kranztypus(); extern INT makevectorofpart_EXPONENT(); extern INT makevectorofpart(); extern INT makevectorofperm(); extern INT makevectorofrect_lehmercode(); extern INT makevectorofrect_permutation(); extern INT makevectorofshuffle(); extern INT makevectorofspecht_poly(); extern INT makevectorofsubsets(); extern INT makevectorofsymspecht_poly(); extern INT makevectorofSYT(); extern INT makevectoroftableaux(); extern INT makevectoroftranspositions(); extern INT makevectorofvectors(); extern INT makevectorofwords(); extern INT maple_polynom(); extern INT mapp_hashtable_hashtable_(); extern INT mapp_hashtable_hashtable_(); extern INT matrix_knuth(); extern INT matrix_monom_ypolynom(); extern INT matrixp(); extern INT matrix_to_kranztypus(); extern INT matrix_twoword(); extern INT max(); extern INT max_bar(); extern INT max_degree_reihe(); extern INT maxdegree_schubert(); extern INT max_divideddiff(); extern INT max_integervector(); extern INT max_matrix(); extern INT maxorder_young(); extern INT maxpart_comp_part(); extern INT maxrindexword(); extern INT max_tableaux(); extern INT max_vector(); extern INT m_bar_schubert(); extern INT m_cosinus_reihe(); extern INT m_d_sc(); extern INT mee_elmsym__(); extern INT mee_hashtable__(); extern INT mee_hashtable_hashtable_(); extern INT mee_hashtable_hashtable_(); extern INT mee_hashtable_hashtable_(); extern INT mee_integer__(); extern INT mee_integer_hashtable_(); extern INT mee_integer_hashtable_(); extern INT mee_integer_hashtable_(); extern INT mee_integer_partition_(); extern INT mee_integer_partition_(); extern INT mee_partition__(); extern INT mee_partition__(); extern INT mee_partition_partition_(); extern INT m_eins_reihe(); extern INT memcheck(); extern INT mem_elmsym__(); extern INT mem_ende(); extern INT mem_integer__(); extern INT mem_integer_hashtable_(); extern INT mem_integer_hashtable_(); extern INT mem_integer_hashtable_(); extern INT mem_integer_partition_(); extern INT mem_partition__(); extern INT mem_size(); extern INT mem_size_hashtable(); extern INT mem_size_longint(); extern INT mem_size_matrix(); extern INT mem_size_vector(); extern INT mem_small(); extern INT mes_elmsym__(); extern INT mes_ende(); extern INT mes_hashtable__(); extern INT mes_integer__(); extern INT mes_integer_hashtable_(); extern INT mes_integer_hashtable_(); extern INT mes_integer_partition_(); extern INT mes_integer_partition_(); extern INT mes_integer_partition_(); extern INT mes_partition__(); extern INT mes_partition__(); extern INT m_ff_vector(); extern INT m_forall_monomials_in_a(); extern INT m_forall_monomials_in_ab(); extern INT m_forall_monomials_in_b(); extern INT m_function_reihe(); extern INT m_gk_spa(); extern INT m_gl_alt(); extern INT m_gl_chartafel(); extern INT m_gl_cl(); extern INT m_gl_co(); extern INT m_gl_cr(); extern INT m_gl_cyclic(); extern INT m_gl_first(); extern INT m_gl_ge_cl(); extern INT m_gl_glnq(); extern INT m_gl_go(); extern INT m_gl_hyp(); extern INT m_gl_il(); extern INT m_gl_nc(); extern INT m_gl_next(); extern INT m_gl_sym(); extern INT m_gl_symkranz(); extern INT mhh_hashtable__(); extern INT mhh_hashtable_hashtable_(); extern INT mhh_hashtable_hashtable_(); extern INT mhh_hashtable_hashtable_(); extern INT mhh_homsym__(); extern INT mhh_partition__(); extern INT mhh_partition__(); extern INT mhh_partition_hashtable_(); extern INT mhh_partition_hashtable_(); extern INT mhh_partition_partition_(); extern INT mhm_hashtable__(); extern INT mhm_homsym__(); extern INT mhm_integer__(); extern INT mhm_integer_hashtable_hashtable(); extern INT mhm_integer_partition_hashtable(); extern INT mhm_null__(); extern INT mhm_partition__(); extern INT mhp_co(); extern INT mhp_hashtable__(); extern INT mhp_homsym__(); extern INT mhp_integer__(); extern INT mhp_integer__(); extern INT mhp_integer_hashtable_(); extern INT mhp_integer_hashtable_(); extern INT mhp_integer_hashtable_(); extern INT mhp_integer_hashtable_(); extern INT mhp_integer_partition_(); extern INT mhp_integer_partition_(); extern INT mhp_partition__(); extern INT mhs_hashtable__(); extern INT mhs_homsym__(); extern INT mhs_integer__(); extern INT mhs_integer__(); extern INT mhs_integer_partition_(); extern INT mhs_partition__(); extern INT m_i_elmsym(); extern INT m_i_i(); extern INT m_iindex_iexponent_monom(); extern INT m_iindex_monom(); extern INT m_iindex_monopoly(); extern INT m_il_bv(); extern INT m_ilih_bm(); extern INT m_ilih_m(); extern INT m_ilih_nm(); extern INT m_il_integervector(); extern INT m_il_nbv(); extern INT m_il_nv(); extern INT m_i_longint(); extern INT m_il_pa(); extern INT m_il_p(); extern INT m_il_v(); extern INT min(); extern INT m_index_monom(); extern INT mindist_neu(); extern INT mindist(); extern INT mindist_submatrix(); extern INT minimaldistanz(); extern INT minimaldistanz(); extern INT minimal_extension(); extern INT minimum_distance(); extern INT min_integervector(); extern INT min_matrix(); extern INT min_tableaux(); extern INT m_INTEGER_elmtrans(); extern INT m_INT_elmtrans(); extern INT m_int_pa(); extern INT min_vector(); extern INT m_ioiu_b(); extern INT m_i_pa(); extern INT m_i_powsym(); extern INT m_i_schubert(); extern INT m_i_schur(); extern INT m_i_staircase(); extern INT m_kl_pa(); extern INT m_ksd_n(); extern INT m_ks_pa(); extern INT m_ks_p(); extern INT m_lehmer_schubert_monom_summe(); extern INT m_lehmer_schubert_qpolynom(); extern INT m_lh_m(); extern INT m_lh_nm(); extern INT m_l_nv(); extern INT m_l_p(); extern INT m_l_v(); extern INT m_matrix_tableaux(); extern INT m_matrix_umriss(); extern INT m_merge_partition_partition(); extern INT m_merge_partition_partition(); extern INT m_merge_partition_partition(); extern INT m_merge_partition_partition(); extern INT m_merge_partition_partition(); extern INT m_merge_partition_partition(); extern INT m_merge_partition_partition(); extern INT m_merge_partition_partition(); extern INT mmm___(); extern INT mmm___(); extern INT mmm_ende(); extern INT mmm_hashtable__(); extern INT mmm_hashtable_hashtable_(); extern INT mmm_hashtable_hashtable_(); extern INT mmm_integer__(); extern INT mmm_integer_hashtable_(); extern INT mmm_integer_hashtable_(); extern INT mmm_integer_partition_(); extern INT mmm_integer_partition_(); extern INT mmm_monomial__(); extern INT mmm_null_partition_(); extern INT mmm_null_partition_(); extern INT mmm_partition__(); extern INT mmm_partition_partition_(); extern INT mmm_partition_partition_(); extern INT mmm_partition_partition_(); extern INT mmm_partition_partition_(); extern INT mms___(); extern INT mms_hashtable__(); extern INT mms_hashtable_partition_(); extern INT mms_integer__(); extern INT mms_integer_partition_(); extern INT mms_monomial__(); extern INT mms_null__(); extern INT mms_partition__(); extern INT mms_partition_partition_(); extern INT m_nc_kranz(); extern INT mod(); extern INT mod_apply(); extern INT mod_apply_integer(); extern INT mod_apply_integer_longint(); extern INT mod_apply_longint(); extern INT moddg(); extern INT mod_dg_sbd(); extern INT mod_integer_integer(); extern INT mod_longint_integer(); extern INT mod_longint_integer_via_ganzsquores(); extern INT mod_matrix(); extern INT mod_monom(); extern INT mod_part(); extern INT mod_polynom(); extern INT mod_vector(); extern INT moebius(); extern INT moebius_tafel(); extern INT monom_anfang(); extern INT monom_ende(); extern INT monomial_recursion(); extern INT monomial_recursion(); extern INT monomial_recursion2(); extern INT monomial_recursion2(); extern INT monomial_recursion(); extern INT monom_release(); extern INT m_ou_b(); extern INT move_1result_hashtable(); extern INT move_2result_hashtable(); extern INT m_o_v(); extern INT m_pa_e(); extern INT m_pa_h(); extern INT m_pa_mon(); extern INT m_pa_ps(); extern INT m_part_centralsc(); extern INT m_part_kostkaperm(); extern INT m_part_part_perm(); extern INT m_part_perm(); extern INT m_part_qelm(); extern INT m_part_Qschur(); extern INT m_part_sc(); extern INT m_part_sc_tafel(); extern INT m_part_tableaux(); extern INT m_part_youngsc(); extern INT m_pa_s(); extern INT m_perm_2schubert_monom_summe(); extern INT m_perm_2schubert_operating_monom_summe(); extern INT m_perm_2wt_summe(); extern INT m_perm_paareperm(); extern INT m_perm_reihe(); extern INT m_perm_rz_number(); extern INT m_perm_rz_set(); extern INT m_perm_sch(); extern INT m_perm_schubert_dimension(); extern INT m_perm_schubert_monom_summe(); extern INT m_perm_schubert_qpolynom(); extern INT m_perm_schur(); extern INT m_perm_sdwt_summe(); extern INT m_perm_skwt_summe(); extern INT m_perm_snwt_summe(); extern INT m_perm_tableaux_summe(); extern INT m_perm_wt_summe(); extern INT mp_is_cst(); extern INT mpp___(); extern INT mpp___(); extern INT mpp_ende(); extern INT mpp_hashtable__(); extern INT mpp_hashtable_hashtable_(); extern INT mpp_hashtable_hashtable_(); extern INT mpp_hashtable_hashtable_(); extern INT mpp_hashtable_hashtable_(); extern INT mpp_hashtable_hashtable_(); extern INT mpp_hashtable_hashtable_(); extern INT mpp_hashtable_hashtable_(); extern INT mpp_integer__(); extern INT mpp_integer_hashtable_(); extern INT mpp_integer_hashtable_(); extern INT mpp_integer_partition_(); extern INT mpp_integer_partition_(); extern INT mpp_partition__(); extern INT mpp_partition_partition_(); extern INT mpp_partition_partition_(); extern INT mpp_powsym__(); extern INT mps___(); extern INT mps_ende(); extern INT mps_hashtable__(); extern INT mps_hashtable__(); extern INT mps_hashtable__pre100102(); extern INT mps_integer__(); extern INT mps_integer_partition_(); extern INT mps_integer_partition_(); extern INT mps_integer_partition_(); extern INT mps_null__(); extern INT mps_partition__(); extern INT mps_powsym__(); extern INT m_scalar_bruch(); extern INT m_scalar_elmsym(); extern INT m_scalar_homsym(); extern INT m_scalar_monomial(); extern INT m_scalar_polynom(); extern INT m_scalar_powsym(); extern INT m_scalar_reihe(); extern INT m_scalar_schubert(); extern INT m_scalar_schur(); extern INT m_sinus_reihe(); extern INT m_skewpart_skewperm(); extern INT m_sk_gr(); extern INT m_sk_mo(); extern INT m_skn_mp(); extern INT m_skn_po(); extern INT m_skn_sch(); extern INT m_skn_s(); extern INT m_sn_l(); extern INT m_s_po(); extern INT mss___(); extern INT mss_ende(); extern INT mss_hashtable__(); extern INT mss_hashtable_hashtable_(); extern INT mss_hashtable_hashtable_(); extern INT mss_hashtable_hashtable_maxpart_maxlength(); extern INT mss_hashtable__maxpart_maxlength(); extern INT mss___maxpart_maxlength(); extern INT mss_partition__(); extern INT mss_partition__maxpart_maxlength(); extern INT mss_partition_partition_(); extern INT mss_partition_partition_maxpart_maxlength(); extern INT mss_schur__(); extern INT mss_schur__maxpart_maxlength(); extern INT m_tableaux_polynom(); extern INT m_tableaux_tableauxpair(); extern INT m_T_pol_summe(); extern INT m_T_tableaux_summe(); extern INT m_T_wt_summe(); extern INT mult(); extern INT multadd_apply(); extern INT multadd_apply_default(); extern INT multadd_apply_ff(); extern INT mult_apply(); extern INT mult_apply_bruch(); extern INT mult_apply_bruch_bruch(); extern INT mult_apply_bruch_hashtable(); extern INT mult_apply_bruch_integer(); extern INT mult_apply_bruch_longint(); extern INT mult_apply_bruch_monom(); extern INT mult_apply_bruch_polynom(); extern INT mult_apply_bruch_scalar(); extern INT mult_apply_cyclo(); extern INT mult_apply_default (); extern INT mult_apply_elmsym(); extern INT mult_apply_elmsym_elmsym(); extern INT mult_apply_ff(); extern INT mult_apply_gral(); extern INT mult_apply_homsym(); extern INT mult_apply_homsym_homsym(); extern INT mult_apply_homsym_schur(); extern INT mult_apply_integer(); extern INT mult_apply_integer_bruch(); extern INT mult_apply_integer_hashtable(); extern INT mult_apply_integer_integer(); extern INT mult_apply_integer_integervector(); extern INT mult_apply_integer_longint(); extern INT mult_apply_integer_matrix(); extern INT mult_apply_integer_monom(); extern INT mult_apply_integer_polynom(); extern INT mult_apply_longint(); extern INT mult_apply_longint_bruch(); extern INT mult_apply_longint_integer(); extern INT mult_apply_longint_longint(); extern INT mult_apply_longint_matrix(); extern INT mult_apply_longint_polynom(); extern INT mult_apply_matrix(); extern INT mult_apply_matrix_matrix(); extern INT mult_apply_monom(); extern INT mult_apply_monomial(); extern INT mult_apply_monomial_monomial(); extern INT mult_apply_monopoly(); extern INT mult_apply_permutation(); extern INT mult_apply_polynom(); extern INT mult_apply_polynom_polynom(); extern INT mult_apply_polynom_scalar(); extern INT mult_apply_powsym(); extern INT mult_apply_powsym_powsym(); extern INT mult_apply_reihe(); extern INT mult_apply_scalar_bruch(); extern INT mult_apply_scalar_cyclo(); extern INT mult_apply_scalar_hashtable(); extern INT mult_apply_scalar_matrix(); extern INT mult_apply_scalar_monom(); extern INT mult_apply_scalar_monopoly(); extern INT mult_apply_scalar_polynom(); extern INT mult_apply_scalar_sqrad(); extern INT mult_apply_scalar_symchar(); extern INT mult_apply_scalar_vector(); extern INT mult_apply_schur(); extern INT mult_apply_schur_schur(); extern INT mult_apply_sqrad(); extern INT mult_apply_symchar(); extern INT mult_apply_vector(); extern INT mult_apply_vector_vector(); extern INT mult_bar_bar(); extern INT mult_bruch(); extern INT mult_bruch_bruch(); extern INT mult_bruch_hashtable(); extern INT mult_bruch_integer(); extern INT mult_bruch_longint(); extern INT mult_cyclo(); extern INT mult_cyclo_cyclo(); extern INT mult_disjunkt_polynom_polynom(); extern INT mult_elmsym(); extern INT mult_elmsym_elmsym(); extern INT mult_elmsym_homsym(); extern INT mult_elmsym_monomial(); extern INT mult_elmsym_powsym(); extern INT mult_elmsym_scalar(); extern INT mult_elmsym_schur(); extern INT mult_ff(); extern INT mult_ff_ff(); extern INT mult_ff_integer(); extern INT mult_galois_galois(); extern INT mult_galois(); extern INT mult_gral(); extern INT mult_gral_gral(); extern INT mult_hashtable_hashtable(); extern INT mult_hashtable_hashtable(); extern INT mult_hashtable_hashtable_faktor(); extern INT mult_hashtable_hashtable_faktor(); extern INT mult_homsym(); extern INT mult_homsym_elmsym(); extern INT mult_homsym_homsym(); extern INT mult_homsym_monomial(); extern INT mult_homsym_powsym(); extern INT mult_homsym_scalar(); extern INT mult_homsym_schur(); extern INT mult_imatrix_imatrix(); extern INT multinom(); extern INT multinom_small(); extern INT mult_integer(); extern INT mult_integer_bruch(); extern INT mult_integer_hashtable(); extern INT mult_integer_integer(); extern INT mult_integer_longint(); extern INT mult_integer_monom(); extern INT multiplicity_part(); extern INT mult_kranz_kranz(); extern INT mult_laurent(); extern INT mult_longint(); extern INT mult_longint_integer(); extern INT mult_longint_integer_via_ganzsmul(); extern INT mult_longint_longint(); extern INT mult_matrix(); extern INT mult_matrix_matrix(); extern INT mult_matrix_vector(); extern INT mult_monom(); extern INT mult_monomial(); extern INT mult_monomial_elmsym(); extern INT mult_monomial_homsym(); extern INT mult_monomial_monomial(); extern INT mult_monomial_powsym(); extern INT mult_monomial_scalar(); extern INT mult_monomial_schur(); extern INT mult_monopoly(); extern INT mult_monopoly_monopoly(); extern INT mult_monopoly_polynom(); extern INT mult_nc_kranz(); extern INT mult_perm_fix(); extern INT mult_permutation(); extern INT mult_polynom(); extern INT mult_polynom_polynom(); extern INT mult_power_schur(); extern INT mult_powsym(); extern INT mult_powsym_elmsym(); extern INT mult_powsym_homsym(); extern INT mult_powsym_monomial(); extern INT mult_powsym_powsym(); extern INT mult_powsym_scalar(); extern INT mult_powsym_schur(); extern INT mult_reihe(); extern INT mult_scalar_cyclo(); extern INT mult_scalar_gral(); extern INT mult_scalar_matrix(); extern INT mult_scalar_monom(); extern INT mult_scalar_monopoly(); extern INT mult_scalar_polynom(); extern INT mult_scalar_schubert(); extern INT mult_scalar_sqrad(); extern INT mult_scalar_symchar(); extern INT mult_scalar_vector(); extern INT mult_schubert_monom(); extern INT mult_schubert_polynom(); extern INT mult_schubert_schubert(); extern INT mult_schubert_variable (); extern INT mult_schur(); extern INT mult_schur_elmsym(); extern INT mult_schur_homsym(); extern INT mult_schur_monomial(); extern INT mult_schur_powsym(); extern INT mult_schur_scalar(); extern INT mult_schur_schur(); extern INT mult_schur_schur_maxlength(); extern INT mult_schur_schur_maxpart_maxlength(); extern INT mult_schur_schur_maxpart_maxlength(); extern INT mult_sqrad(); extern INT mult_sqrad_sqrad(); extern INT mult_symchar_symchar(); extern INT mult_vector_matrix(); extern INT mult_vector_vector(); extern INT m_umriss_tableaux(); extern INT m_us_t(); extern INT m_u_t(); extern INT m_vcl_kranz(); extern INT m_vco_kranz(); extern INT m_vec_grad_nc_hyp(); extern INT m_vec_poly(); extern INT m_vector_diagonalmatrix(); extern INT m_vector_ff(); extern INT m_vector_graph(); extern INT m_vec_vec_poly(); extern INT m_v_pa(); extern INT m_v_po_mz(); extern INT m_v_s(); extern INT m_word_wt(); extern INT m_wpd_sc(); extern INT m_wt_tableaux(); extern INT m_wttab_tableaux(); extern INT m_wt_wtkontertab(); extern INT m_wt_wttab(); extern INT mx_outerproduct_schur_lrs(); extern INT mx_powerproduct_schur_plet(); extern INT mx_power_schur_plet(); extern INT mx_schur_powerproduct_schur_plet_mult(); extern INT mx_schur_power_schur_plet_mult(); extern INT mx_schur_schur_plet(); extern INT mx_schur_schur_pletbis(); extern INT mxx_null__(); extern INT mxx_null__(); extern INT mxx_null__(); extern INT mxx_null__(); extern INT mxx_null__(); extern INT my_conjugation(); extern INT my_quasinormalform_neu(); extern INT mz_extrahieren(); extern INT mz_vereinfachen(); extern INT nachfolger_young(); extern INT nb_ende(); extern INT ndg(); extern INT negeinsp(); extern INT negeinsp_bruch(); extern INT negeinsp_integer(); extern INT negeinsp_longint(); extern INT negeinsp_polynom(); extern INT negp(); extern INT negp_bruch(); extern INT negp_integer(); extern INT negp_longint(); extern INT negp_polynom(); extern INT neg_sum(); extern INT neq(); extern INT neqparts_partition(); extern INT new_divdiff_bar(); extern INT new_divideddifference_bar(); extern INT new_divideddiff_rz_bar(); extern INT new_orbit(); extern INT newtrans_eins(); extern INT newtrans_lehmer(); extern INT newtrans_limitfunction(); extern INT newtrans_limit_limitfunction(); extern INT newtrans_maxpart_maxlength(); extern INT newtrans_maxpart_maxlength(); extern INT newtrans_maxpart(); extern INT newtrans(); extern INT next_apply_bar(); extern INT next_apply_composition(); extern INT next_apply_ff(); extern INT next_apply_gr(); extern INT next_apply(); extern INT next_apply_partition(); extern INT next_apply_permutation(); extern INT next_apply_subset(); extern INT next_bar(); extern INT next_composition(); extern INT next_ff(); extern INT next_gfp_vector(); extern INT next_gfp_vector(); extern INT next_gr(); extern INT next_kranztypus(); extern INT next_lehmercode(); extern INT next_lex_tableaux(); extern INT next_lex_vector(); extern INT next_part_EXPONENT_apply(); extern INT next_part_EXPONENT(); extern INT next_partition_apply(); extern INT next_partition(); extern INT next_part_VECTOR_apply(); extern INT next_part_VECTOR(); extern INT next_perm_invers(); extern INT next_permutation(); extern INT next_permutation_lex(); extern INT next_pgp_vector(); extern INT next_pgp_vector(); extern INT next_shuffle_part(); extern INT next_shufflepermutation(); extern INT next_shufflevector(); extern INT next_subset(); extern INT next(); extern INT n_fold_kronecker_product(); extern INT no_memory(); extern INT no_orbits_arb(); extern INT normal_laurent(); extern INT not_yet_implemented(); extern INT nth_root_ff_given_q(); extern INT ntopaar_symchar(); extern INT null(); extern INT null_default(); extern INT null_ff(); extern INT null_ff_given_q(); extern INT null_galois(); extern INT null_gr_given_c_d(); extern INT null_object(); extern INT nullp(); extern INT nullp_bitvector(); extern INT nullp_bruch(); extern INT nullp_cyclo(); extern INT nullp_elmsym(); extern INT nullp_ff(); extern INT nullp_galois(); extern INT nullp_homsym(); extern INT nullp_integer(); extern INT nullp_integermatrix(); extern INT nullp_integervector(); extern INT nullp_longint(); extern INT nullp_matrix(); extern INT nullp_monomial(); extern INT nullp_monopoly(); extern INT nullp_polynom(); extern INT nullp_powsym(); extern INT nullp_reihe(); extern INT nullp_schubert(); extern INT nullp_schur(); extern INT nullp_sqrad(); extern INT nullp_symchar(); extern INT nullp_vector(); extern INT number_01_matrices(); extern INT number_nat_matrices(); extern INT number_of_bits(); extern INT numberof_class_kranz(); extern INT number_of_digits(); extern INT numberof_inversionen(); extern INT number_of_irred_poly_of_degree(); extern INT numberofmonomials(); extern INT numberofpart_i(); extern INT numberofpart(); extern INT numberofparts_exact_parts(); extern INT numberofparts_ge(); extern INT numberofparts_le_parts(); extern INT numberofselfconjugatepart(); extern INT numberof_shufflepermutation(); extern INT number_of_subspaces(); extern INT number_of_subspaces(); extern INT numberofvariables(); extern INT nu_v_v_pgp(); extern INT nu_v_v_pgp(); extern INT nxt_ym(); extern INT objectread_bruch(); extern INT objectread_bv(); extern INT objectread_ff(); extern INT objectread(); extern INT objectread_gral(); extern INT objectread_hashtable(); extern INT objectread_integer(); extern INT objectread_list(); extern INT objectread_longint(); extern INT objectread_matrix(); extern INT objectread_monom(); extern INT objectread_monopoly(); extern INT objectread_number(); extern INT objectread_partition(); extern INT objectread_permutation(); extern INT objectread_schur(); extern INT objectread_skewpartition(); extern INT objectread_symchar(); extern INT objectread_tableaux(); extern INT objectread_vector(); extern INT objectwrite_bruch(); extern INT objectwrite_bv(); extern INT objectwrite_ff(); extern INT objectwrite(); extern INT objectwrite_gral(); extern INT objectwrite_hashtable(); extern INT objectwrite_integer(); extern INT objectwrite_list(); extern INT objectwrite_longint(); extern INT objectwrite_matrix(); extern INT objectwrite_monom(); extern INT objectwrite_number(); extern INT objectwrite_partition(); extern INT objectwrite_permutation(); extern INT objectwrite_schur(); extern INT objectwrite_skewpartition(); extern INT objectwrite_symchar(); extern INT objectwrite_tableaux(); extern INT objectwrite_vector(); extern INT odd(); extern INT oddify_longint(); extern INT oddify_longint(); extern INT odd_longint(); extern INT oddpartsp(); extern INT odd_to_strict_part(); extern INT odg(); extern INT old_number_01_matrices(); extern INT operate_gral_polynom(); extern INT operate_perm_bideterminant(); extern INT operate_perm_polynom(); extern INT operate_perm_spaltenmatrix(); extern INT operate_perm_tableaux(); extern INT operate_perm_vector(); extern INT operate_perm_zeilenmatrix(); extern INT orbit(); extern INT orbit_set_max_size(); extern INT orbit_words(); extern INT orblen(); extern INT or_character (); extern INT ordcen_bar(); extern INT ordcen(); extern INT ordcon_bar(); extern INT ordcon(); extern INT order_class_kranz(); extern INT order_ff(); extern INT order_permutation(); extern INT or_dimension (); extern INT ordnung_affkq(); extern INT ordnung_glkq(); extern INT or_tableaux (); extern INT outerproduct_schubert(); extern INT outerproduct_schur(); extern INT outerproduct_schur_limit(); extern INT outerproduct_schur_limitfunction(); extern INT outerproduct_schur_limit_limitfunction(); extern INT outerproduct_schur_lrs(); extern INT p2_schursum(); extern INT p2_schursum(); extern INT part_anfang(); extern INT part_comp(); extern INT part_ende(); extern INT partitionp(); extern INT part_part_skewschur(); extern INT perm_anfang(); extern INT Perm_eingabe(); extern INT perm_ende(); extern INT perm_matrix(); extern INT perm_matrix_p(); extern INT perm_tableaux(); extern INT permutation_matrix(); extern INT permutationp(); extern INT permutationsdarstellung_matrix_pgl(); extern INT permutationsdarstellung_matrix_pgl(); extern INT perm_weintraube(); extern INT pes___(); extern INT pes___(); extern INT pes_elmsym__(); extern INT pes_ende(); extern INT pes_hashtable__(); extern INT pes_integer__(); extern INT pes_integer_hashtable_(); extern INT pes_integer_hashtable_(); extern INT pes_integer_partition_(); extern INT pes_integer_partition_(); extern INT pes_null__(); extern INT pes_null_partition_(); extern INT pes_null_partition_(); extern INT pes_partition__(); extern INT pfact(); extern INT pfaffian_matrix(); extern INT pgcd(); extern INT phm___(); extern INT phm___(); extern INT phm_ende(); extern INT phm_hashtable__(); extern INT phm_hashtable_hashtable_(); extern INT phm_homsym__(); extern INT phm_integer__(); extern INT phm_integer_hashtable_(); extern INT phm_integer_hashtable_(); extern INT phm_integer_integer_(); extern INT phm_integer_integer_(); extern INT phm_integer_partition_(); extern INT phm_integer_partition_(); extern INT phm_null__(); extern INT phm_null_partition_(); extern INT phm_null_partition_(); extern INT phm_partition__(); extern INT p_hook_diagramm(); extern INT p_hook_weight(); extern INT phs___(); extern INT phs___(); extern INT phs___(); extern INT phs_ende(); extern INT phs_hashtable__(); extern INT phs_homsym__(); extern INT phs_integer__(); extern INT phs_integer_hashtable_(); extern INT phs_integer_hashtable_(); extern INT phs_integer_partition_(); extern INT phs_integer_partition_(); extern INT phs_null__(); extern INT phs_null_partition_(); extern INT phs_partition__(); extern INT pictex_skwt_liste(); extern INT pictex_snwt_liste(); extern INT pictex_wt(); extern INT pictex_wt_liste(); extern INT pictex_wt_liste_co(); extern INT planep(); extern INT plane_tableau(); extern INT plaziere_verband(); extern INT plet_elmsym_elmsym(); extern INT plet_elmsym_homsym(); extern INT plet_elmsym_monomial(); extern INT plet_elmsym_powsym(); extern INT plet_elmsym_schur(); extern INT plet_homsym_elmsym(); extern INT plet_homsym_homsym(); extern INT plet_homsym_monomial(); extern INT plet_homsym_monomial_via_ppm(); extern INT plet_homsym_powsym(); extern INT plet_homsym_schur(); extern INT plethysm(); extern INT plethysm_schur_monomial(); extern INT plethysm_schur_schur(); extern INT plet_monomial_elmsym(); extern INT plet_monomial_homsym(); extern INT plet_monomial_monomial(); extern INT plet_monomial_powsym(); extern INT plet_monomial_schur(); extern INT plet_powsym_elmsym(); extern INT plet_powsym_homsym(); extern INT plet_powsym_monomial(); extern INT plet_powsym_powsym(); extern INT plet_powsym_schur(); extern INT plet_powsym_schur_via_ppm(); extern INT plet_schur_elmsym(); extern INT plet_schur_elmsym_pre101201(); extern INT plet_schur_homsym(); extern INT plet_schur_monomial(); extern INT plet_schur_monomial_new(); extern INT plet_schur_powsym(); extern INT plet_schur_schur(); extern INT plet_schur_schur_pol(); extern INT plet_schur_schur_via_phs(); extern INT pl_j_wt(); extern INT pn_character (); extern INT pn_dimension (); extern INT pn_tableaux (); extern INT point(); extern INT pol_sd_wt(); extern INT pol_sn_wt(); extern INT pol_wt(); extern INT polya1_sub(); extern INT polya2_sub(); extern INT polya3_sub(); extern INT polya_const_sub(); extern INT polya_multi_const_sub(); extern INT polya_multi_sub(); extern INT polya_n_sub(); extern INT polya_sub(); extern OP pop(); extern INT posp(); extern INT posp_bruch(); extern INT posp_integer(); extern INT posp_longint(); extern INT posp_polynom(); extern INT posp_vector(); extern INT pos_sum(); extern INT powerproduct_schur_plet(); extern INT power_schur_plet(); extern INT power_schur_plet_old(); extern INT ppe___(); extern INT ppe___(); extern INT ppe___(); extern INT ppe___(); extern INT ppe___(); extern INT ppe___(); extern INT ppe_ende(); extern INT ppe_hashtable__(); extern INT ppe_hashtable_hashtable_(); extern INT ppe_integer__(); extern INT ppe_integer_hashtable_(); extern INT ppe_integer_hashtable_(); extern INT ppe_integer_integer_(); extern INT ppe_integer_partition_(); extern INT ppe_integer_partition_(); extern INT ppe_null__(); extern INT ppe_null_partition_(); extern INT ppe_null_partition_(); extern INT ppe_partition__(); extern INT ppe_powsym__(); extern INT pph___(); extern INT pph___(); extern INT pph___(); extern INT pph___(); extern INT pph___(); extern INT pph___(); extern INT pph_ende(); extern INT pph_hashtable__(); extern INT pph_hashtable_hashtable_(); extern INT pph_integer__(); extern INT pph_integer_hashtable_(); extern INT pph_integer_hashtable_(); extern INT pph_integer_integer_(); extern INT pph_integer_integer_(); extern INT pph_integer_partition_(); extern INT pph_integer_partition_(); extern INT pph_null__(); extern INT pph_null_partition_(); extern INT pph_null_partition_(); extern INT pph_partition__(); extern INT pph_powsym__(); extern INT ppm___(); extern INT ppm___(); extern INT ppm___(); extern INT ppm___(); extern INT ppm___(); extern INT ppm_ende(); extern INT ppm_hashtable__(); extern INT ppm_hashtable_hashtable_(); extern INT ppm_integer__(); extern INT ppm_integer_hashtable_(); extern INT ppm_integer_hashtable_(); extern INT ppm_integer_integer_(); extern INT ppm_integer_integer_(); extern INT ppm_integer_partition_(); extern INT ppm_integer_partition_(); extern INT ppm_null__(); extern INT ppm_null_partition_(); extern INT ppm_null_partition_(); extern INT ppm_partition__(); extern INT ppm_powsym__(); extern INT ppp___(); extern INT ppp___(); extern INT ppp___(); extern INT ppp___(); extern INT ppp_ende(); extern INT ppp_hashtable__(); extern INT ppp_hashtable_hashtable_(); extern INT ppp_integer__(); extern INT ppp_integer_hashtable_(); extern INT ppp_integer_hashtable_(); extern INT ppp_integer_partition_(); extern INT ppp_integer_partition_(); extern INT ppp_null__(); extern INT ppp_null_partition_(); extern INT ppp_null_partition_(); extern INT ppp_partition__(); extern INT ppp_powsym__(); extern INT pps___(); extern INT pps_ende(); extern INT pps_hashtable__(); extern INT pps_hashtable_hashtable_(); extern INT pps_integer__(); extern INT pps_null__(); extern INT pps_null_partition_(); extern INT pps_null_partition_(); extern INT pps_partition__(); extern INT pps_powsym__(); extern INT prepartdom(); extern INT primep(); extern INT primep_ff(); extern INT prime_power_p(); extern INT primitive_element_ff_given_q(); extern INT primitive_element_ff(); extern INT print_cyclo_data(); extern INT print_cyclo_list(); extern INT print_cyclo_table(); extern INT printeingabe(); extern INT println_bm(); extern INT println(); extern INT println_schub_lehmer(); extern INT printobjectkind(); extern INT print(); extern INT print_schubert_difference(); extern INT print_stat_hashtable(); extern INT print_time(); extern INT print_type(); extern INT pr_j_wt(); extern INT p_root_part(); extern INT p_root_schur(); extern INT prsym(); extern INT p_schursum(); extern INT p_schursum(); extern INT psh___(); extern INT psh_ende(); extern INT psh_hashtable__(); extern INT psh_integer__(); extern INT psh_integer_homsym_(); extern INT psh_null__(); extern INT psh_partition__(); extern INT psh_partition__(); extern INT psh_partition_homsym_(); extern INT psh_partition_partition_(); extern INT psh_schur__(); extern INT psl_apply_i_integer(); extern INT psl_apply_i_longint(); extern INT psl_apply_longint(); extern INT psm___(); extern INT psm_ende(); extern INT p_splitpart(); extern INT p_splitpart2(); extern INT p_splitpart(); extern INT psr_apply_i_integer(); extern INT psr_apply_i_longint(); extern INT pss___(); extern INT pss___(); extern INT pss_ende(); extern INT pss_hashtable__(); extern INT pss_hashtable_hashtable_(); extern INT pss_integer__(); extern INT pss_integer_hashtable_(); extern INT pss_integer_hashtable_(); extern INT pss_integer_integer_(); extern INT pss_integer_integer_(); extern INT pss_integer_partition_(); extern INT pss_integer_partition_(); extern INT pss_integer_schur_(); extern INT pss_null__(); extern INT pss_null_partition_(); extern INT pss_null_partition_(); extern INT pss_partition__(); extern INT pss_partition_hashtable_(); extern INT pss_partition_partition_(); extern INT pss_partition_partition_(); extern INT pss_partition_schur_(); extern INT pss_partition_schur_(); extern INT pss_schur__(); extern INT pss_schur__(); extern INT P_symmetrized_bideterminant(); extern INT push(); extern INT put_exactlength_limit_schur(); extern INT put_length_limit_schur(); extern INT q_core(); extern INT q_core_sign(); extern INT qdimension(); extern INT qdimension_schubert(); extern INT qsort_vector(); extern INT quadraticp(); extern INT quadratic_remainders(); extern INT quasi_normal_form(); extern INT quasinormalform(); extern INT quasi_normal_form(); extern INT quores(); extern INT quores_integer(); extern INT quores_longint(); extern INT quores_monopoly(); extern INT quores_monopoly_pre300402(); extern INT raise_power_monopoly(); extern INT random_adjacency_matrix(); extern INT random_bar(); extern INT random_bruch(); extern INT random_bv(); extern INT random_char_ff(); extern INT random_ff(); extern INT random_ff_given_q(); extern INT random_generator_diag_subgroup(); extern INT random_generator_sk_subgroup(); extern INT random_generator_small_glkq_singersubgroup(); extern INT random_gral(); extern INT random_gr_given_c_d(); extern INT random_integer(); extern INT random_integervector(); extern INT random_kranz(); extern INT random_longint(); extern INT random_monom(); extern INT random_part_EXPONENT(); extern INT random_partition_exponent(); extern INT random_partition(); extern INT random_permutation(); extern INT random_polynom(); extern INT random_reihe(); extern INT random_subgroup_glk_grcd_2gen(); extern INT random_subgroup_glk_grcd_cyclic(); extern INT random_subgroup_glk_grcd_diagonal(); extern INT random_subgroup_glk_grcd(); extern INT random_subgroup_glk_grcd_smaller_k(); extern INT random_subgroup_glk_grcd_stabilizer(); extern INT random_subgroup_glkq(); extern INT random_subgroup_glkq_1gen(); extern INT random_subgroup_glkq_2gen(); extern INT random_subgroup_glkq_2gen(); extern INT random_subgroup_glkq_3gen(); extern INT random_subgroup_glkq_3gen(); extern INT random_subgroup_glkq_block(); extern INT random_subgroup_glkq_cyclic(); extern INT random_subgroup_glkq_cyclic(); extern INT random_subgroup_glkq_diagonal(); extern INT random_subgroup_glkq_diagonal(); extern INT random_subgroup_glkq(); extern INT random_subgroup_glkq_perm_cyclic(); extern INT random_subgroup_glkq_perm_cyclic(); extern INT random_subgroup_glkq_perm_diagonal(); extern INT random_subgroup_glkq_perm(); extern INT random_subgroup_glkq_prim(); extern INT random_subgroup_glkq_prim(); extern INT random_subgroup_glkq_smaller_k(); extern INT random_subgroup_glkq_smaller_k(); extern INT random_subgroup_glkq_upper_cyclic(); extern INT random_subgroup_glkq_upper_cyclic(); extern INT random_word(); extern INT rank(); extern INT rank_ff(); extern INT rank_k_subset(); extern INT rank_line(); extern INT rank_permutation(); extern INT rank_point(); extern INT red_dia_perm(); extern INT redf_cap(); extern INT redf_cap_hoch(); extern INT redf_cup(); extern INT redf_cup_hoch(); extern INT reduce_ff(); extern INT reduce_inner_tensor_sc(); extern INT reduce_nc(); extern INT reduce_nc_kranz(); extern INT reduceninpaar(); extern INT reduce_symchar(); extern INT reduce_symchar_tafel(); extern INT reell_gram_schmidt(); extern INT reell_gram_schmidt(); extern INT release_numbers(); extern INT remove_hook(); extern INT remove_mp_qnumber_fac (); extern INT removepartij(); extern INT remove_part_integer(); extern INT remove_part_part(); extern INT remove_vec_qnumber (); extern INT remove_zero_terms(); extern INT reorder_hall_littlewood(); extern INT reorder_schur(); extern INT reorder_vector(); extern INT reorder_vector_apply(); extern INT represent_hecke_element (); extern INT reset_basis(); extern INT reset_saving(); extern INT reverse_bitvector(); extern INT reverse_vector(); extern INT rg_factorize(); extern INT rg_order_ff(); extern INT rg_quasi_normal_form(); extern INT rh_test(); extern INT ribbon_matrix(); extern INT ribbon_partition(); extern INT rightkey_wt(); extern INT rindexword_sub(); extern INT rindexword(); extern INT rm_rindex(); extern INT root_dimension (); extern INT root_normalise_monopoly (); extern INT root_represent_hecke_action (); extern INT root_standardise_cold_tableaux_list (); extern INT row_column_matrices(); extern INT rowwordoftableaux(); extern INT R_roftableaux(); extern INT runtime(); extern INT rz(); extern INT rz_bar(); extern INT rz_Dn(); extern INT rz_lehmercode_bar(); extern INT rz_lehmercode(); extern INT rz_perm(); extern INT sab(); extern INT sab_input(); extern INT S_a_rofword(); extern INT save_cyclo_list(); extern INT Sbar_nkq_maxgrad(); extern INT Sbar_nkq_maxgrad(); extern INT s_b_i(); extern INT s_bm_hi(); extern INT s_bm_li(); extern OP s_b_o(); extern INT s_b_oi(); extern OP s_b_u(); extern INT s_b_ui(); extern INT s_bv_li(); extern INT scalarp(); extern INT scalarproduct(); extern INT scalarproduct_bar_schubert(); extern INT scalarproduct_elmsym(); extern INT scalarproduct_homsym(); extern INT scalarproduct_homsym_monomial(); extern INT scalarproduct_monomial(); extern INT scalarproduct_nc(); extern INT scalarproduct_powsym(); extern INT scalarproduct_powsym_powsym(); extern INT scalarproduct_schubert(); extern INT scalarproduct_schur(); extern INT scalarproduct_schur_schur(); extern INT scalarproduct_symchar(); extern INT scalarproduct_vector(); extern INT scale_monopoly(); extern INT scan_bar(); extern INT scan_bitvector(); extern INT scan_bruch(); extern INT scan_cyclo(); extern INT scan_elmsym(); extern INT scan_exponentpartition(); extern INT scan_fastpolynom(); extern INT scan_ff(); extern INT scan_galois(); extern INT scan_gl_nc(); extern INT scan_gral(); extern INT scan_homsym(); extern INT scan_integerbruch(); extern INT scan_integer(); extern INT scan_integermatrix(); extern INT scan_integervector(); extern INT scan(); extern INT scan_kostka(); extern INT scan_kranz(); extern INT scan_laurent(); extern INT scan_list(); extern INT scan_longint(); extern INT scan_matrix(); extern INT scan_monom(); extern INT scan_monomial(); extern INT scan_monopoly(); extern INT scan_nc_kranz(); extern OBJECTKIND scanobjectkind(); extern INT scan_partition(); extern INT scan_parttableaux(); extern INT scan_permutation(); extern INT scan_permutation_cycle(); extern INT scan_permvector(); extern INT scan_polynom(); extern INT scan_powsym(); extern INT scan_printeingabe(); extern INT scan_reihe(); extern INT scan_reversepartition(); extern INT scan_schubert(); extern INT scan_schur(); extern INT scan_skewpartition(); extern INT scan_skewsymmetric_matrix(); extern INT scan_skewtableaux(); extern INT scan_sqrad(); extern INT scan_symchar(); extern INT scan_tableaux(); extern INT scan_vector(); extern INT scan_word(); extern INT schensted_row_delete_step(); extern INT schensted_row_insert_step(); extern INT schen_word(); extern INT schicht_print(); extern INT schnitt_mat(); extern INT schnitt_schur(); extern INT schubertp(); extern INT schur_ende(); extern INT schur_part_skewschur(); extern INT schur_powerproduct_schur_plet_mult(); extern INT schur_power_schur_plet_mult(); extern INT schur_schur_pletbis(); extern INT schur_schur_plet(); extern INT sdg(); extern INT sd_i_wt(); extern INT Sd_wt(); extern INT select_coeff_polynom(); extern INT select_coeff_reihe(); extern INT select_column(); extern INT select_column_tableaux(); extern INT select_degree_reihe(); extern OP select_i(); extern INT select_row(); extern INT select_row_tableaux(); extern INT set_bm_ij(); extern INT set_bv_i(); extern INT set_cyclotomic_parameters (); extern INT set_lo_nopoint(); extern INT set_root_parameters (); extern INT set_tex_polynom_parameter(); extern INT setup_numbers(); extern INT set_useful_monopolies (); extern OP s_ff_c(); extern INT s_ff_ci(); extern INT s_ff_di(); extern INT s_ff_ii(); extern OBJECTKIND s_gr_k(); extern OP s_gr_kn(); extern OP s_gr_kni(); extern OP s_gr_koor(); extern OP s_gr_koori(); extern OP s_gr_na(); extern OP s_gr_nai(); extern OP s_gr_s(); extern OP s_gr_xkoori(); extern OP s_gr_ykoori(); extern INT signum(); extern INT signum_permutation(); extern INT s_i_i(); extern INT singularp(); extern INT Sinus_eingabe(); extern INT s_i_wt(); extern INT skewpartitionp(); extern INT skewplane_plane(); extern INT skip_comment(); extern INT skip_integer(); extern INT skip(); extern INT s_ki_wt(); extern OP s_kr_g(); extern OP s_kr_gi(); extern OP s_kr_gl(); extern INT s_kr_gli(); extern OP s_kr_i(); extern OP s_kr_v(); extern INT Sk_wt(); extern OP s_lc_poly(); extern OP s_l_n(); extern OP s_l_s(); extern OP s_m_h(); extern INT s_m_hash(); extern INT s_m_hi(); extern OP s_m_ij(); extern INT s_m_iji(); extern OP s_m_l(); extern INT s_m_li(); extern OP s_mo_k(); extern INT s_mo_ki(); extern OP s_mo_s(); extern OP s_mo_si(); extern INT s_mo_sii(); extern OP s_mo_sl(); extern INT s_mo_sli(); extern OP s_m_s(); extern OP s_mz_po(); extern OP s_mz_v(); extern OP s_mz_vi(); extern INT s_mz_vii(); extern INT sn_character (); extern OP s_n_d(); extern OP s_n_dcd(); extern OP s_n_dci(); extern OP s_n_dcp(); extern INT sn_dimension (); extern INT s_ni_wt(); extern INT S_nkq_maxgrad(); extern INT S_nkq_maxgrad(); extern OP s_n_s(); extern INT sn_tableaux (); extern INT sn_weintraube(); extern INT Sn_wt(); extern INT so_character (); extern INT so_dimension (); extern OBJECTKIND s_o_k(); extern INT SYM_sort(); extern INT sort_rows_tableaux_apply(); extern INT sort_vector(); extern OBJECTSELF s_o_s(); extern INT so_tableaux (); extern INT s_pa_hash(); extern OP s_pa_i(); extern INT s_pa_ii(); extern OBJECTKIND s_pa_k(); extern OP s_pa_l(); extern INT s_pa_li(); extern INT spaltenanfang(); extern INT spaltenende(); extern INT spalten_summe(); extern OP s_pa_s(); extern INT sp_br(); extern INT sp_character (); extern INT sp_dimension (); extern INT specht_dg(); extern INT specht_irred_characteristik(); extern INT specht_m_part_sc(); extern INT specht_poly(); extern INT specht_powersum(); extern INT special_eq(); extern INT special_mult_apply_homsym_homsym(); extern INT speicher_anfang(); extern INT speicher_ende(); extern OP s_p_i(); extern INT s_p_ii(); extern INT spin_tableaux_character (); extern OBJECTKIND s_p_k(); extern OP s_p_l(); extern INT s_p_li(); extern INT split_hashtable(); extern INT split(); extern INT splitpart(); extern INT splitpart(); extern INT splitpart(); extern OP s_po_k(); extern INT s_po_ki(); extern OP s_po_n(); extern OP s_po_s(); extern OP s_po_si(); extern INT s_po_sii(); extern OP s_po_sl(); extern INT s_po_sli(); extern INT sprint_ff(); extern INT sprint_integer(); extern INT sprint_integervector(); extern INT sprint_longint(); extern INT sprint_partition(); extern INT sprint_permutation(); extern INT sprint_skewpartition(); extern INT sprint(); extern INT sprint_vector(); extern OP s_p_s(); extern INT sp_tableaux (); extern INT square_apply(); extern INT square_apply_integer(); extern INT square_apply_longint(); extern INT square_free_part_0(); extern INT square_free_part(); extern INT squareroot(); extern INT squareroot_bruch(); extern INT squareroot_integer(); extern INT squareroot_longint(); extern INT S_rofword(); extern INT sscan_bar(); extern INT sscan_bitvector(); extern INT sscan_elmsym(); extern INT sscan_homsym(); extern INT sscan_integer(); extern INT sscan_integervector(); extern INT sscan_longint(); extern INT sscan_partition(); extern INT sscan_permutation(); extern INT sscan_permvector(); extern INT sscan_reversepartition(); extern INT sscan_schur(); extern INT sscan(); extern INT sscan_word(); extern OP s_sc_d(); extern INT s_sc_di(); extern OP s_sch_k(); extern INT s_sch_ki(); extern OP s_sch_n(); extern OP s_sch_s(); extern OP s_sch_si(); extern INT s_sch_sii(); extern OP s_sch_sl(); extern INT s_sch_sli(); extern OP s_sc_p(); extern OP s_sc_pi(); extern INT s_sc_pli(); extern OP s_sc_w(); extern OP s_sc_wi(); extern INT s_sc_wii(); extern INT s_sc_wli(); extern OP s_s_k(); extern INT s_s_ki(); extern OP s_s_n(); extern OP s_spa_g(); extern OP s_spa_gi(); extern INT s_spa_gii(); extern INT s_spa_gli(); extern OP s_spa_k(); extern OP s_spa_ki(); extern INT s_spa_kii(); extern INT s_spa_kli(); extern OP s_s_s(); extern OP s_s_si(); extern INT s_s_sii(); extern OP s_s_sl(); extern INT s_s_sli(); extern INT standardise_cold_tableaux_list (); extern INT standardise_cyclo(); extern INT standardp(); extern INT starpart(); extern INT starting_bar_schubert(); extern INT start_longint(); extern INT starttableaux(); extern INT std_perm(); extern OP s_t_h(); extern INT s_t_hi(); extern OP s_t_ij(); extern INT s_t_iji(); extern INT stirling_first_tafel(); extern INT stirling_numbers_second_kind_vector(); extern INT stirling_second_number_kostka(); extern INT stirling_second_number(); extern INT stirling_second_number_tafel(); extern INT stirling_second_tafel(); extern OP s_t_l(); extern INT s_t_li(); extern INT store_result_0(); extern INT store_result_1(); extern INT store_result_2(); extern INT store_result_3(); extern INT store_result_4(); extern INT store_result_5(); extern INT strictp(); extern INT strict_to_odd_part(); extern INT strong_check_barp(); extern INT strong_check_permutationp(); extern INT strong_generators(); extern OP s_t_s(); extern OP s_t_u(); extern OP s_t_ug(); extern INT s_t_ugii(); extern INT s_t_ugli(); extern OP s_t_ui(); extern INT s_t_uii(); extern OP s_t_uk(); extern INT s_t_ukii(); extern INT s_t_ukli(); extern OP s_t_ul(); extern INT s_t_uli(); extern OP s_t_us(); extern INT sub(); extern INT sub_apply(); extern INT sub_comp_bv(); extern INT sub_comp_part(); extern INT sub_default(); extern INT sub_part_part(); extern INT substitute_one_matrix (); extern INT substitute_one_monopoly (); extern INT SYM_sum(); extern INT sum_integervector(); extern INT sum_matrix(); extern INT sum_vector(); extern INT sup_bitvector_apply(); extern INT sup_bitvector(); extern OP s_v_i(); extern INT s_v_ii(); extern OP s_v_l(); extern INT s_v_li(); extern OP s_v_s(); extern INT swap(); extern OP s_w_i(); extern INT s_w_ii(); extern OP s_w_l(); extern INT s_w_li(); extern OP s_w_s(); extern INT S_wt(); extern INT s_x_nu_to_ypolynom(); extern INT symchar_hoch_n(); extern INT SYMMETRICA_bricknumber(); extern INT SYMMETRICA_EH(); extern INT SYMMETRICA_EM(); extern INT SYMMETRICA_EP(); extern INT SYMMETRICA_ES(); extern INT SYMMETRICA_HE(); extern INT SYMMETRICA_HM(); extern INT SYMMETRICA_HP(); extern INT SYMMETRICA_HS(); extern INT SYMMETRICA_ME(); extern INT SYMMETRICA_MH(); extern INT SYMMETRICA_MP(); extern INT SYMMETRICA_MS(); extern INT SYMMETRICA_PE(); extern INT SYMMETRICA_PH(); extern INT SYMMETRICA_PM(); extern INT SYMMETRICA_PS(); extern INT SYMMETRICA_SE(); extern INT SYMMETRICA_SH(); extern INT SYMMETRICA_SM(); extern INT SYMMETRICA_SP(); extern INT symmetricp(); extern INT symmetricp_i(); extern INT symmetricp_matrix(); extern INT t_2SCHUBERT_POLYNOM(); extern INT tab_anfang(); extern INT tab_ende(); extern INT tab_funk(); extern INT tableaux_character (); extern INT tableauxp(); extern INT table_of_gauss_numbers(); extern INT table_of_Rbar_nkq(); extern INT table_of_R_nkq(); extern INT table_of_Sbar_nkq(); extern INT table_of_S_nkq(); extern INT table_of_Tbar_nkq(); extern INT table_of_T_nkq(); extern INT table_of_W_nkq(); extern INT tab_wt(); extern INT t_augpart_part(); extern INT t_BAR_BARCYCLE(); extern INT t_BARCYCLE_BAR(); extern INT t_bar_doubleperm(); extern INT Tbar_nkq_file(); extern INT Tbar_nkq_maxgrad(); extern INT Tbar_nkq_maxgrad(); extern INT t_BINTREE_ELMSYM(); extern INT t_BINTREE_ELMSYM_apply(); extern INT t_BINTREE_GRAL(); extern INT t_BINTREE_HOMSYM(); extern INT t_BINTREE_HOMSYM_apply(); extern INT t_BINTREE_LIST(); extern INT t_BINTREE_MONOMIAL(); extern INT t_BINTREE_MONOMIAL_apply(); extern INT t_BINTREE_POLYNOM(); extern INT t_BINTREE_POLYNOM_apply(); extern INT t_BINTREE_POWSYM(); extern INT t_BINTREE_POWSYM_apply(); extern INT t_BINTREE_SCHUBERT(); extern INT t_BINTREE_SCHUR(); extern INT t_BINTREE_SCHUR_apply(); extern INT t_BINTREE_VECTOR(); extern INT t_BIT_VECTOR(); extern INT t_BITVECTOR_INTVECTOR(); extern INT t_BRUCH_LAURENT(); extern INT teh_elmsym__faktor(); extern INT teh_ende(); extern INT teh___faktor(); extern INT teh_hashtable__faktor(); extern INT teh_integer__faktor(); extern INT teh_integer__faktor(); extern INT teh_partition__faktor(); extern INT teh_partition__faktor_pre290102(); extern INT t_ELMSYM_ELMSYM(); extern INT t_ELMSYM_HASHTABLE(); extern INT t_ELMSYM_HOMSYM(); extern INT t_ELMSYM_MONOMIAL(); extern INT t_ELMSYM_POWSYM(); extern INT t_ELMSYM_SCHUR(); extern INT t_ELMSYM_SCHUR_pre041201(); extern INT tem_ende(); extern INT tem_integer__faktor(); extern INT tem_integer__faktor(); extern INT tem_partition__faktor(); extern INT tep_elmsym__faktor(); extern INT tep_ende(); extern INT tep___faktor(); extern INT tep___faktor(); extern INT tep___faktor(); extern INT tep___faktor(); extern INT tep___faktor(); extern INT tep___faktor(); extern INT tep_hashtable__faktor(); extern INT tep_integer__faktor(); extern INT tep_integer__faktor(); extern INT tep_integer__faktor(); extern INT tep_partition__faktor(); extern INT tep_partition__faktor_pre040202(); extern INT tes_elmsym__faktor(); extern INT tes___faktor(); extern INT tes_hashtable__faktor(); extern INT tes_integer__faktor(); extern INT tes_integer__faktor(); extern INT tes_partition__faktor(); extern INT test_bintree(); extern INT test_brc(); extern INT test_bruch(); extern INT test_callocobject(); extern INT test_dcp(); extern INT test_integer(); extern INT test_kostka(); extern INT test_list(); extern INT test_longint(); extern INT test_matrix(); extern INT test_mdg(); extern INT test_ndg(); extern INT test_number(); extern INT test_object(); extern INT test_perm(); extern INT test_plet(); extern INT test_poly(); extern INT test_schubert(); extern INT test_schur(); extern INT test_symchar(); extern INT test_word(); extern INT tex_2schubert_monom_summe(); extern INT tex_bruch(); extern INT tex_cyclo(); extern INT tex_dia_wt(); extern INT tex_hall_littlewood(); extern INT tex_hecke_monopoly(); extern INT tex_integer(); extern INT tex_kostka(); extern INT tex_lc(); extern INT tex_list(); extern INT tex_longint(); extern INT tex_matrix_co(); extern INT tex_matrix(); extern INT tex_monom(); extern INT tex_monom_plus(); extern INT tex_monopoly(); extern INT tex(); extern INT tex_partition(); extern INT tex_permutation(); extern INT tex_polynom(); extern INT t_EXPONENT_VECTOR(); extern INT t_EXPONENT_VECTOR_apply(); extern INT tex_rz(); extern INT tex_schubert(); extern INT tex_schur(); extern INT tex_sqrad(); extern INT tex_symchar(); extern INT tex_tableaux(); extern INT tex_vector(); extern INT tex_weintraube(); extern INT t_forall_monomials_in_a(); extern INT t_FROBENIUS_VECTOR(); extern INT t_galois_polynom(); extern INT t_HASHTABLE_ELMSYM(); extern INT t_HASHTABLE_ELMSYM_apply(); extern INT t_HASHTABLE_HOMSYM(); extern INT t_HASHTABLE_HOMSYM_apply(); extern INT t_HASHTABLE_MONOMIAL(); extern INT t_HASHTABLE_MONOMIAL_apply(); extern INT t_HASHTABLE_POLYNOM(); extern INT t_HASHTABLE_POLYNOM_apply(); extern INT t_HASHTABLE_POLYNOM_apply(); extern INT t_HASHTABLE_POWSYM(); extern INT t_HASHTABLE_POWSYM_apply(); extern INT t_HASHTABLE_SCHUR(); extern INT t_HASHTABLE_SCHUR_apply(); extern INT t_HASHTABLE_VECTOR(); extern INT the_integer__faktor(); extern INT the_integer__faktor(); extern INT thm_ende(); extern INT thm_integer__faktor(); extern INT thm_integer__faktor(); extern INT thm_partition__faktor(); extern INT t_HOMSYM_ELMSYM(); extern INT t_HOMSYM_HASHTABLE(); extern INT t_HOMSYM_HOMSYM(); extern INT t_HOMSYM_MONOMIAL(); extern INT t_HOMSYM_POWSYM(); extern INT t_HOMSYM_SCHUR(); extern INT thp_ende(); extern INT thp___faktor(); extern INT thp___faktor(); extern INT thp___faktor(); extern INT thp___faktor(); extern INT thp___faktor(); extern INT thp___faktor(); extern INT thp_homsym__faktor(); extern INT thp_integer__faktor(); extern INT thp_integer__faktor(); extern INT thp_integer__faktor(); extern INT thp_partition__faktor(); extern INT thp_partition__faktor_pre300102(); extern INT tidy(); extern INT t_INTEGER_FF(); extern INT t_INTEGER_LAURENT(); extern INT t_int_longint(); extern INT t_INTVECTOR_BITVECTOR(); extern INT t_INTVECTOR_UCHAR(); extern INT t_j_wt(); extern INT t_LAURENT_OBJ(); extern INT t_LIST_POLYNOM(); extern INT t_LIST_VECTOR(); extern INT t_longint_int(); extern INT t_loop_partition(); extern INT t_loop_partition(); extern INT tl_set_index_inc(); extern INT tl_set_max_numb(); extern INT tl_set_prime(); extern INT t_MA_MONOPOLY_MA_POLYNOM(); extern INT tme_ende(); extern INT tme___faktor(); extern INT tme___faktor(); extern INT tme_hashtable__faktor(); extern INT tme_integer__faktor(); extern INT tme_integer__faktor(); extern INT tme_monomial__faktor(); extern INT tme_monomial__faktor(); extern INT tme_partition__faktor(); extern INT tmh_ende(); extern INT tmh___faktor(); extern INT tmh___faktor(); extern INT tmh_integer__faktor(); extern INT tmh_integer__faktor(); extern INT tmh_integer__faktor(); extern INT tmh_integer__faktor(); extern INT tmh_monomial__faktor(); extern INT tmh_partition__faktor(); extern INT t_MONOMIAL_ELMSYM(); extern INT t_MONOMIAL_HASHTABLE(); extern INT t_MONOMIAL_HOMSYM(); extern INT t_MONOMIAL_MONOMIAL(); extern INT t_MONOMIAL_POWSYM(); extern INT t_MONOMIAL_SCHUR(); extern INT t_MONOPOLY_LAURENT(); extern INT t_MONOPOLY_POLYNOM(); extern INT tmp___faktor(); extern INT tmp___faktor(); extern INT tmp___faktor(); extern INT tmp___faktor(); extern INT tmp_integer__faktor(); extern INT tmp_int__faktor(); extern INT tmp_monomial__faktor(); extern INT tmp_monomial__faktor(); extern INT tmp_partition__faktor(); extern INT T_nkq_file(); extern INT T_nkq_maxgrad(); extern INT T_nkq_maxgrad_erweitert(); extern INT T_nkq_maxgrad_erweitert(); extern INT T_nkq_maxgrad(); extern INT t_OBJ_LAURENT(); extern INT t_PARTITION_AUGPART(); extern INT tpe___faktor(); extern INT tpe_hashtable__faktor(); extern INT tpe_integer__faktor(); extern INT tpe_partition__faktor(); extern INT tpe_partition__faktor_pre300102(); extern INT tpe_powsym__faktor(); extern INT t_PERMUTATION_SCHUBERT(); extern INT tph___faktor(); extern INT tph_hashtable__faktor(); extern INT tph_integer__faktor(); extern INT tph_partition__faktor(); extern INT tph_partition__faktor_pre300102(); extern INT tph_powsym__faktor(); extern INT tpm___faktor(); extern INT tpm_hashtable__faktor(); extern INT tpm_integer__faktor(); extern INT tpm_partition__faktor(); extern INT tpm_powsym__faktor(); extern INT t_POLYNOM_ELMSYM(); extern INT t_polynom_galois(); extern INT t_POLYNOM_LAURENT(); extern INT t_POLYNOM_MONOMIAL(); extern INT t_POLYNOM_MONOPOLY(); extern INT t_POLYNOM_POWER(); extern INT t_POLYNOM_SCHUBERT(); extern INT t_POLYNOM_SCHUR(); extern INT t_POLYNOM_T(); extern INT t_POWSYM_ELMSYM(); extern INT t_POWSYM_HASHTABLE(); extern INT t_POWSYM_HOMSYM(); extern INT t_POWSYM_MONOMIAL(); extern INT t_POWSYM_POWSYM(); extern INT t_POWSYM_SCHUR(); extern INT t_productexponent(); extern INT t_productexponent(); extern INT t_productexponent(); extern INT t_productexponent(); extern INT t_productexponent(); extern INT t_productexponent(); extern INT tps___faktor(); extern INT trace(); extern INT trace_matrix(); extern INT trafo_check(); extern INT trans2formlist(); extern INT transform_apply_list(); extern INT transformlist(); extern INT trans_index_monopoly_cyclo(); extern INT transpose(); extern INT transpose_matrix(); extern INT transpose_second_matrix(); extern INT t_REIHE_POLYNOM(); extern INT t_SCHUBERT_POLYNOM(); extern INT t_SCHUBERT_SCHUR(); extern INT t_SCHUR_ELMSYM(); extern INT t_SCHUR_HASHTABLE(); extern INT t_SCHUR_HOMSYM(); extern INT t_schur_jacobi_trudi(); extern INT t_SCHUR_MONOMIAL(); extern INT t_SCHUR_MONOMIAL_pre211101(); extern INT t_schur_naegelsbach(); extern INT t_SCHUR_POWSYM(); extern INT t_SCHUR_SCHUR(); extern INT t_SCHUR_SYMCHAR(); extern INT tse___faktor(); extern INT tse___faktor(); extern INT tse___faktor_slow(); extern INT tse_integer__faktor(); extern INT tse_partition__faktor(); extern INT tse_partition__faktor_pre040202(); extern INT tse_schur__faktor(); extern INT tsh_eval_jt(); extern INT tsh___faktor(); extern INT tsh___faktor(); extern INT tsh_hashtable__faktor(); extern INT tsh_integer__faktor(); extern INT tsh_integer__faktor(); extern INT tsh_jt(); extern INT tsh_partition__faktor(); extern INT tsh_partition__faktor_pre240102(); extern INT tsh_partition__faktor_pre310102(); extern INT tsh_schur__faktor(); extern INT tsm___faktor(); extern INT tsm_integer__faktor(); extern INT tsm_partition__faktor(); extern INT tsm_schur__faktor(); extern INT tsm_schur__faktor(); extern INT tsp___faktor(); extern INT tsp___faktor(); extern INT tsp___faktor(); extern INT tsp___faktor(); extern INT tsp___faktor(); extern INT tsp_integer__faktor(); extern INT t_splitpart(); extern INT t_splitpart(); extern INT t_splitpart(); extern INT t_splitpart(); extern INT t_splitpart(); extern INT t_splitpart(); extern INT tsp_partition__faktor(); extern INT tsp_schur__faktor(); extern INT tsp_schur__faktor(); extern INT t_UCHAR_INTVECTOR(); extern INT t_VECTOR_BIT(); extern INT t_VECTOR_BITREC(); extern INT t_VECTOR_EXPONENT(); extern INT t_VECTOR_FROB(); extern INT t_VECTOR_FROBENIUS(); extern INT t_VECTOR_LIST(); extern INT t_VECTOR_POLYNOM(); extern INT t_VECTOR_ZYKEL(); extern INT t_vperm_zperm(); extern INT T_weintraube(); extern INT twoword_knuth(); extern INT twoword_matrix(); extern INT txx_null__faktor(); extern INT txx_null__faktor(); extern INT typusorder(); extern INT t_zperm_vperm(); extern INT t_ZYKEL_VECTOR(); extern INT UD_permutation(); extern INT umriss_tableaux(); extern INT unimodalp(); extern INT unitp_galois(); extern INT unrank_degree_permutation(); extern INT unrank_given_q_ff(); extern INT unrank_given_qk_point(); extern INT unrank_k_subset(); extern INT unrank_permutation(); extern INT unrank_subset(); extern INT unset_bm_ij(); extern INT unset_bv_i(); extern INT usersort_vector(); extern INT vander(); extern INT variety_poly(); extern INT vec_anfang(); extern INT vec_ende(); extern INT vec_mat_mult(); extern INT vec_mat_mult(); extern INT vectorofzerodivisors_galois(); extern INT vectorp(); extern INT vertikal_sum(); extern INT vexillaryp(); extern INT vexillaryp_permutation(); extern INT vminus_hecke(); extern INT vminus_tabloid(); extern INT vminus(); extern INT vorgaenger_bruhat(); extern INT vorgaenger_bruhat_strong(); extern INT vorgaenger_bruhat_weak(); extern INT vorgaenger_young(); extern INT vorgaenger_young_skewpartition(); extern INT weight(); extern INT weight_augpart(); extern INT weight_partition(); extern INT weight_skewpartition(); extern INT weight_tableaux(); extern INT weight_vector(); extern INT weintraube_monom(); extern INT weintrauben_polynom(); extern INT weintraube_vector(); extern INT werte_Polynom_aus(); extern INT werte_Polynom_aus(); extern INT wert(); extern INT which_part(); extern INT W_nkq_maxgrad(); extern INT W_nkq_maxgrad(); extern INT wordoftableaux(); extern INT word_schen(); extern INT word_tableaux(); extern INT word_wt(); extern INT wrong_type_oneparameter(); extern INT wrong_type_twoparameter(); extern INT wt_liste_gewicht(); extern INT wt_word(); extern INT ym_min(); extern INT young_alt_scalar_tafel(); extern INT young_character(); extern INT young_ideal(); extern INT youngp(); extern INT young_polynom(); extern INT young_scalar_tafel(); extern INT young_tafel(); extern INT zeilenanfang(); extern INT zeilenende(); extern INT zeilen_summe(); extern INT zentralprim(); extern INT zerlege_nk_codes(); extern INT zerlege_nk_codes(); extern INT zykeldarstellung_matrix(); extern INT zykeldarstellung_matrix_red(); extern INT zykelind_aff1Zn(); extern INT zykelind_affkq(); extern INT zykelind_affkzn(); extern INT zykelind_An(); extern INT zykelind_arb(); extern INT zykelind_centralizer(); extern INT zykelind_Cn(); extern INT zykelind_cube(); extern INT zykelind_cube_edges(); extern INT zykelind_cube_edges_extended(); extern INT zykelind_cube_extended(); extern INT zykelind_cube_faces(); extern INT zykelind_cube_faces_extended(); extern INT zykelind_cube_vertices(); extern INT zykelind_cube_vertices_extended(); extern INT zykelind_dec(); extern INT zykelind_dec_apply(); extern INT zykelind_dir_prod(); extern INT zykelind_dir_prod_apply(); extern INT zykelind_dir_summ(); extern INT zykelind_dir_summ_apply(); extern INT zykelind_Dn(); extern INT zykelind_dodecahedron(); extern INT zykelind_dodecahedron_edges(); extern INT zykelind_dodecahedron_edges_extended(); extern INT zykelind_dodecahedron_extended(); extern INT zykelind_dodecahedron_faces(); extern INT zykelind_dodecahedron_faces_extended(); extern INT zykelind_dodecahedron_vertices(); extern INT zykelind_dodecahedron_vertices_extended(); extern INT zykelind_exponentiation(); extern INT zykelind_glkq(); extern INT zykelind_glkzn(); extern INT zykelind_hoch_dir_prod(); extern INT zykelind_hoch_dir_summ(); extern INT zykelind_inc(); extern INT zykelind_kranz(); extern INT zykelind_on_2sets(); extern INT zykelind_on_ksubsets(); extern INT zykelind_on_ktuples(); extern INT zykelind_on_ktuples_injective(); extern INT zykelind_on_pairs(); extern INT zykelind_on_pairs_disjunkt(); extern INT zykelind_on_pairs_oriented(); extern INT zykelind_on_pairs_reduced(); extern INT zykelind_on_power_set(); extern INT zykelind_pglkq(); extern INT zykelind_plethysm(); extern INT zykelind_Sn(); extern INT zykelind_stabilizer_part(); extern INT zykelind_superp_lin_dir_graphs(); extern INT zykelind_test(); extern INT zykelind_tetraeder(); extern INT zykelind_tetraeder_edges(); extern INT zykelind_tetraeder_edges_extended(); extern INT zykelind_tetraeder_extended(); extern INT zykelind_tetraeder_faces(); extern INT zykelind_tetraeder_faces_extended(); extern INT zykelind_tetraeder_vertices(); extern INT zykelind_tetraeder_vertices_extended(); extern INT zykeltyp(); extern INT zykeltyp_hoch_n(); extern INT zykeltyp_permutation(); extern INT zykeltyp_pi_hoch(); #endif