538:? \p 212 realprecision = 221 significant digits (212 digits displayed) ? (1.378-0.09143*I)^(14.87+0.3721*I) time = 0 ms. %1 = 80.817082637557070449383034933010288336925078193546211741027496566803185 11092579265743992920628314516739962724446042667886245322716456966120413965187 3272488827365261487845201056199035423784093096984005713791800191 - 94.8384618 89186304973351271821601500916571303364865064205039706592481303045713982306764 33264430511752515705768858710051382035377195497482934017239179757538824688799 0680136241031895212412150770309289450962931402933*I ? 123456! + 0. \\ slower than gamma(123457) which uses floating point time = 1,656 ms. %2 = 2.6040699049291378729513930560926568818273270409503019584610185579952057 37967683415793560716617127908735520017061666000857261271456698589373086528293 4317244121152865814030204645985573419251305342231135573491050756 E574964 ? sin(x) time = 0 ms. %3 = x - 1/6*x^3 + 1/120*x^5 - 1/5040*x^7 + 1/362880*x^9 - 1/39916800*x^11 + 1/6227020800*x^13 - 1/1307674368000*x^15 + O(x^17) ? for(z=25,30, print (factor(2^z-1))) time = 5 ms. ? K = bnfinit(x^2 + 23); K.cyc time = 1ms. %4 = /* This number field has class number 3. */
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The PARI/GP system is a package that is capable of doing formal computations on recursive types at high speed; it is primarily aimed at number theorists. Its three main strengths are its speed, the possibility of directly using
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giving access to the PARI functions. It functions as a sophisticated programmable calculator which contains most of the control instructions of a standard language like C.
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capability. PARI/GP has some symbolic manipulation capability, e.g., multivariate polynomial and rational function handling. It also has some formal
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The name PARI is a pun about the project's early stages when the authors started to implement a library for "Pascal ARIthmetic" in the
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PARI/GP was originally developed in 1985 by a team led by Henri Cohen at
Laboratoire A2X and is now maintained by
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calculator was originally called GPC, for Great
Programmable Calculator. The trailing C was eventually dropped.
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at the
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The PARI/GP system consists of the following standard components:
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computations. Versions 2.1.0 and higher are distributed under the
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can be millions of digits long—and billions of digits on
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364:'s scripting language which can be used to program
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39:, potentially preventing the article from being
415:calculations. It also allows computations with
438:PARI/GP comes with its own built-in graphical
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609:Séminaire de Théorie des Nombres de Bordeaux
1018:Computer algebra system software for Linux
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59:reliable, independent, third-party sources
465:PARI/GP's progenitor was a program named
77:Learn how and when to remove this message
651:PARI/GP - Mathematical software - swMATH
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53:by replacing them with more appropriate
36:too closely associated with the subject
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556:Free and open-source software portal
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504:(although they quickly switched to
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1008:C (programming language) libraries
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280:with the main aim of facilitating
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657:SIGSAM Computer Algebra Software
646:PARI/GP Development Headquarters
570:List of computer algebra systems
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380:. The advantage of this is that
127:, Karim Belabas, et al., at the
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34:may rely excessively on sources
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653:with a collection of references
590:"pari-2.15.5 (STABLE) released"
668:Catalogue of GP/PARI Functions
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531:Below are some samples of the
388:understands almost all of GP.
352:is an easy-to-use interactive
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1033:Free software programmed in C
1028:Free computer algebra systems
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453:PARI/GP can be compiled with
1023:Cross-platform free software
603:François Dress (1979–1980).
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7:
899:Engineering Equation Solver
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502:Pascal programming language
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694:Port of PARI/GP to Android
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411:computations and perform
403:machines). It can compute
286:GNU General Public License
248:GNU General Public License
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688:PARI/GP online calculator
519:The first version of the
288:. It runs on most common
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730:Computer algebra systems
395:calculations (e.g., the
670:; also in downloadable
413:algebraic number theory
278:computer algebra system
236:Computer algebra system
16:Computer algebra system
885:symbolic math toolbox)
354:command line interface
153:; 7 months ago
1013:Command-line software
662:Rosetta Code: PARI/GP
483:Université Bordeaux 1
473:, written in 1979 by
469:, an interpreter for
305:that are familiar to
129:Université Bordeaux 1
628:"TRIVIA" section of
431:and implements many
393:arbitrary precision
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535:calculator usage:
372:Also available is
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110:PARI/GP in use on
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1038:Portable software
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471:higher arithmetic
433:special functions
429:algebraic numbers
391:PARI/GP performs
290:operating systems
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615:. exposé № 4.
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67:December 2013
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145:2.15.5
120:Developer(s)
73:
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49:Please help
33:
874:Mathematica
841:Proprietary
738:Open-source
475:Henri Cohen
444:integration
421:polynomials
397:significand
263:.u-bordeaux
185:.u-bordeaux
125:Henri Cohen
997:Categories
940:Mathomatic
576:References
407:, perform
303:data types
208:Written in
172:Repository
112:Windows XP
51:improve it
41:verifiable
826:Xcas/Giac
786:Macaulay2
677:archive:
496:Etymology
55:citations
969:Category
930:LiveMath
816:Singular
811:SageMath
796:Normaliz
564:SageMath
542:See also
467:Isabelle
440:plotting
417:matrices
935:Macsyma
869:Mathcad
801:PARI/GP
751:Cadabra
675:tarball
672:gzipped
481:at the
461:History
336:Fortran
324:library
274:PARI/GP
254:Website
243:License
156: (
90:PARI/GP
45:neutral
950:ALTRAN
945:muMATH
925:Erable
920:Derive
883:MATLAB
806:Reduce
791:Maxima
766:FriCAS
761:Fermat
401:64-bit
344:Python
332:Pascal
915:CAMAL
879:muPAD
864:Maple
859:Magma
831:Yacas
821:SymPy
781:GiNaC
756:CoCoA
746:Axiom
342:, or
319:is a
276:is a
261:.math
191:/pari
183:.math
981:List
854:KANT
771:FORM
477:and
446:and
386:gp2c
382:gp2c
374:gp2c
340:Perl
317:PARI
259:pari
231:Type
193:.git
189:/git
181:pari
43:and
776:GAP
516:).
455:GMP
328:C++
265:.fr
187:.fr
57:to
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686:•
621:^
611:.
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533:gp
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485:.
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378:gp
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362:gp
358:GP
350:gp
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
