Hi, I use RootsOfPolynomialAsRadicals from RadiRoot package to compute roots of some simple polynomials of degree 5 and 6. In many cases mentioned method works excellent and produces very nice formulas. However for few specific polynomials it fails with stack overflow error. This is fully deterministic behavior on my environment, e.g. for f(x) = x^6+30*x+93 :
┌───────┐ GAP, Version 4.6.2 of 02-Feb-2013 (free software, GPL) │ GAP │ http://www.gap-system.org └───────┘ Architecture: i686-pc-linux-gnu-gcc-default32 Libs used: gmp, readline Loading the library and packages ... Components: trans 1.0, prim 2.1, small* 1.0, id* 1.0 Packages: AClib 1.2, Alnuth 3.0.0, AtlasRep 1.5.0, AutPGrp 1.5, Browse 1.8.2, CRISP 1.3.5, Cryst 4.1.11, CrystCat 1.1.6, CTblLib 1.2.1, FactInt 1.5.3, FGA 1.2.0, GAPDoc 1.5.1, IO 4.2, IRREDSOL 1.2.1, LAGUNA 3.6.3, Polenta 1.3.1, Polycyclic 2.10.1, RadiRoot 2.6, ResClasses 3.3.0, Sophus 1.23, TomLib 1.2.2 Try '?help' for help. See also '?copyright' and '?authors' gap> x := Indeterminate( Rationals, "x" );; gap> f := UnivariatePolynomial( Rationals, [93,30,0,0,0,0,1]);; gap> RootsOfPolynomialAsRadicals(f, "latex", "x6_30x_93");; *** at top-level: ...n(),[2,4,3])>=0,fac=lift(nffactor(f,pol)),if( *** ^-------------------- *** nffactor: the PARI stack overflows ! current stack size: 128000000 (122.070 Mbytes) [hint] you can increase GP stack with allocatemem() *** at top-level: for(i=1,#fac[,1],for(j=1,fac[i,2 *** ^-------------------- *** _[,_]: not a matrix. Error, List Element: <list>[1] must have an assigned value in faktoren[1] := lcoeff * faktoren[1]; called from FactorsPolynomialPari( AlgExtEmbeddedPol( H, poly ) ) called from FactorsPolynomialAlgExt( erw.H, CyclotomicPolynomial( Rationals, i ) ) called from RR_RootOfUnity( erw, DegreeOverPrimeField( erw.K ) ) called from CallFuncList( RootsOfPolynomialAsRadicalsNC, arg ) called from <function "RootsOfPolynomialAsRadicals">( <arguments> ) called from read-eval loop at line 3 of *stdin* you can 'return;' after assigning a value brk> Other examples: f(x) = x^6+105*x+237 f(x) = x^6+243*x+513 I don't know how to work around this problem. Tried to increase workspace size but it did not solve the issue. I will be grateful for your help. With regards, Daniel _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
