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[type in empty line to continue] [secure mode]: system commands not allowed Tried to run '%s'no input ???... skipping file '%s' GP/PARI CALCULATOR Version 2.3.2 (released)i386 running darwin (ix86 kernel) 32-bit version3.3 20030304 (Apple Computer, Inc. build 1809)gcc-%sJan 19 2008compiled: %s, %snot compiled in not(readline %s, extended help%s available)Copyright (C) 2000-2006 The PARI Group PARI/GP is free software, covered by the GNU General Public License, and comes WITHOUT ANY WARRANTY WHATSOEVER Type ? for help, \q to quit. Type ?12 for how to get moral (and possibly technical) support. parisize = %lu, primelimit = %lu compiled: %s### Errors on startup, exiting... %%%ld = %clatex:$\blue %s$%c\magenta\%%%ld = rt_default%s is aliased to: aide (no help found) new identifier (no valence assigned)%s: %s user defined variableinstalled functionunknown identifierobsolete functionHelp topics: for a list of relevant subtopics, type ?n for n in 0: user-defined identifiers (variable, alias, function) 1: Standard monadic or dyadic OPERATORS 2: CONVERSIONS and similar elementary functions 3: TRANSCENDENTAL functions 4: NUMBER THEORETICAL functions 5: Functions related to ELLIPTIC CURVES 6: Functions related to general NUMBER FIELDS 7: POLYNOMIALS and power series 8: Vectors, matrices, LINEAR ALGEBRA and sets 9: SUMS, products, integrals and similar functions 10: GRAPHIC functions 11: PROGRAMMING under GP 12: The PARI community Also: ? functionname (short on-line help) ?\ (keyboard shortcuts) ?. (member functions) Extended help looks available: ?? (opens the full user's manual in a dvi previewer) ?? tutorial / refcard / libpari (tutorial/reference card/libpari manual) ?? keyword (long help text about "keyword" from the user's manual) ??? keyword (a propos: list of related functions).# : enable/disable timer ## : print time for last result \\ : comment up to end of line \a {n} : print result in raw format (readable by PARI) \b {n} : print result in beautified format \c : list all commands (same effect as ?*) \d : print all defaults \e {n} : enable/disable echo (set echo=n) \g {n} : set debugging level \gf{n} : set file debugging level \gm{n} : set memory debugging level \h {m-n}: hashtable information \l {f} : enable/disable logfile (set logfile=f) \m {n} : print result in prettymatrix format \o {n} : change output method (0=raw, 1=prettymatrix, 2=prettyprint, 3=2-dim) \p {n} : change real precision \ps{n} : change series precision \q : quit completely this GP session \r {f} : read in a file \s {n} : print stack information \t : print the list of PARI types \u : print the list of user-defined functions \um : print the list of user-defined member functions \v : print current version of GP \w {nf} : write to a file \x {n} : print complete inner structure of result \y {n} : disable/enable automatic simplification (set simplify=n) {f}=optional filename. {n}=optional integer Member functions, followed by relevant objects a1-a6, b2-b8, c4-c6 : coeff. of the curve. ell area : area ell bid : big ideal bnr bnf : big number field bnf, bnr clgp : class group bid, bnf, bnr cyc : cyclic decomposition (SNF) bid, clgp, bnf, bnr diff, codiff: different and codifferent nf, bnf, bnr disc : discriminant ell, nf, bnf, bnr e, f : inertia/residue degree prid fu : fundamental units bnf, bnr gen : generators bid, prid, clgp, bnf, bnr index: index nf, bnf, bnr j : j-invariant ell mod : modulus bid, bnr nf : number field bnf, bnr no : number of elements bid, clgp, bnf, bnr omega, eta: [omega1,omega2] and [eta1, eta2] ell p : rational prime below prid prid pol : defining polynomial nf, bnf, bnr reg : regulator bnf, bnr roots: roots ell nf, bnf, bnr sign,r1,r2 : signature nf, bnf, bnr t2 : t2 matrix nf, bnf, bnr tate : Tate's [u^2, u, q] ell tu : torsion unit and its order bnf, bnr w : Mestre's w ell zk : integral basis nf, bnf, bnr no such section in help: ?/usr/local/share/pariThe standard distribution of GP/PARI includes a reference manual, a tutorial, a reference card and quite a few examples. They should have been installed in the directory '%s'. If not, ask the person who installed PARI on your system where they can be found. You can also download them from the PARI WWW site 'http://pari.math.u-bordeaux.fr/' Three mailing lists are devoted to PARI: - pari-announce (moderated) to announce major version changes. - pari-dev for everything related to the development of PARI, including suggestions, technical questions, bug reports and patch submissions. - pari-users for everything else! To subscribe, send an empty message to -subscribe@list.cr.yp.to. An archive is kept at the WWW site mentioned above. You can also reach the authors directly by email: pari@math.u-bordeaux.fr (answer not guaranteed).formatprompt01setting %ld history entriesList of the PARI types: t_INT : long integers [ cod1 ] [ cod2 ] [ man_1 ] ... [ man_k ] t_REAL : long real numbers [ cod1 ] [ cod2 ] [ man_1 ] ... [ man_k ] t_INTMOD : integermods [ code ] [ mod ] [ integer ] t_FRAC : irred. rationals [ code ] [ num. ] [ den. ] t_COMPLEX: complex numbers [ code ] [ real ] [ imag ] t_PADIC : p-adic numbers [ cod1 ] [ cod2 ] [ p ] [ p^r ] [ int ] t_QUAD : quadratic numbers [ cod1 ] [ mod ] [ real ] [ imag ] t_POLMOD : poly mod [ code ] [ mod ] [ polynomial ] ------------------------------------------------------------- t_POL : polynomials [ cod1 ] [ cod2 ] [ man_1 ] ... [ man_k ] t_SER : power series [ cod1 ] [ cod2 ] [ man_1 ] ... [ man_k ] t_RFRAC : irred. rat. func. [ code ] [ num. ] [ den. ] t_QFR : real qfb [ code ] [ a ] [ b ] [ c ] [ del ] t_QFI : imaginary qfb [ code ] [ a ] [ b ] [ c ] t_VEC : row vector [ code ] [ x_1 ] ... [ x_k ] t_COL : column vector [ code ] [ x_1 ] ... [ x_k ] t_MAT : matrix [ code ] [ col_1 ] ... [ col_k ] t_LIST : list [ code ] [ cod2 ] [ x_1 ] ... [ x_k ] t_STR : string [ code ] [ man_1 ] ... [ man_k ] t_VECSMALL: vec. small ints [ code ] [ x_1 ] ... [ x_k ] precisionrealprecisionserieslengthseriesprecisiontime = %ld ms%ld,00%s%ldmn, %ldh, user interrupt after *** last result computed in GP (Floating Point Exception)GP (Bus Error)GP (Segmentation Fault)signal handlingBroken Pipe, resetting file stack...buffersize is no longer used. -b ignored### Usage: %s [options] [GP files] [-q,--quiet] Quiet mode: do not print banner and history numbersOptions are: [-p,--primelimit primelimit] Precalculate primes up to the limit [-s,--stacksize stacksize] Start with the PARI stack of given size (in bytes) [-f,--fast] Faststart: do not read .gprc [--emacs] Run as if in Emacs shell [--test] Test mode. 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