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The Maxima on-line user's manual

Algebra Calculator

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Nthroot

Function: nthroot (<p>, <n>) where p is a polynomial with integer coefficients and n is a positive integer returns q, a polynomial over the integers, such that q^n=p or prints an error message indicating that p is not a perfect nth power. This routine is much faster than factor or even sqfr.

nthroot(1209319087800683292564839558487771355864576919035976627447305062201378994281839111776078694155814200539333341783986337513138723289306831597355352355616387031659897059696514005407302957513356920970846002235377952336587102101432789644431841714984201666000989330866229326652344117975600114989658845415429396385056441441175373574014196402715498385021664851777230120910341368649749426406961558859001769477806430086119938465954624083615243839550111750561378203843275204665304707610037905610848587759697911930259207846859678575712498357669804866529657579962370526430138261961191362033619787897891748741104802114616649385504459075063846351296376659065699828671827226062452267650240861420128499692773140231609116280348105405549862811228272315092975608144538782155707845974610851253253689822294606807228930629827293504594159360231577464355774018826964287017269972823233109892274737109371644716466444548559189135189136144601756096405739193705160482852396817121219773206360383281244592923132757748523028815459414309503003741501404707655089720417734515229978200696621808339742275540028794910231984257634954753731742837687517469216671793891855483728714096208146818243838680331881087623851595149344218535430034237532966226214564496909457221022273301256170691282796616924659655857915434852856557665975858718386880594497538044196434802111723058746186657722248005813290518184710059481160224295931796463089725534421352329198323934794439501225794448918262100375422537475511101954708732290984640652889716678960762034768081171255381745513270969979259088984617857902678951708239509983966595346797090669460482000188421983072106917011160869504294550085886032730336139278971368528148458109312773959061120529113860852153109064588595928793203635642814740927144262927740222671707165536126010142142777642484425279471182984246291164671995263728258645835569665816113675689831295976,3);

(%o1)                                true
(%i2) 

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