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/dports/math/pari/pari-2.13.3/doc/
H A Dusersch3.tex21127 my(polabs, N,al,S, ala,k, vR);
21131 [polabs,ala,k] = rnfequation(nfK, R, 1);
21133 N = nfgaloisconj(polabs) % Rt; \\ Q-automorphisms of L
21300 attached to the absolute defining polynomial \kbd{polabs} is returned (\fl is
22445 ? L.polabs
22447 ? rnfeltabstorel(L, Mod(x, L.polabs))
22652 %4 = [17, x^2 + 4, x + 8, x^3 + 8*x^2] \\ Z-basis for m in Q[x]/(rnf.polabs)
22658 argument. The entries of $x$ may be given either modulo \kbd{rnf.polabs}
22909 as \kbd{rnf.polabs}; $a$ expresses the generator $\alpha = y \mod \kbd{K.pol}$
H A Dusersch6.tex391 defining the base field, modulo \kbd{polabs} (cf.~\kbd{rnfequation})
395 \kbd{polabs}, where $\beta$ is a root of \kbd{pol}
/dports/math/pari/pari-2.13.3/src/
H A Dfunclist489 1365247405 96 ../functions/member_functions/polabs
/dports/math/pari/pari-2.13.3/src/basemath/
H A Dmftrace.c12278 bestapprnfrel(GEN x, GEN polabs, GEN roabs, GEN rnfeq, long prec) in bestapprnfrel() argument
12280 x = bestapprnf(x, polabs, roabs, prec); in bestapprnfrel()
12287 normal(GEN v, GEN polabs, GEN roabs, GEN rnfeq, GEN *w, long prec) in normal() argument
12294 gel(v,i) = bestapprnfrel(gel(v,i), polabs,roabs,rnfeq,prec); in normal()
12306 GEN mf, M, vp, vm, cosets, CHI, vpp, vmm, f, T, P, vE, polabs, roabs, rnfeq; in mfmanin() local
12345 polabs = gel(rnfeq,1); in mfmanin()
12346 roabs = gel(QX_complex_roots(polabs,prec), 1); in mfmanin()
12351 polabs = P? P: T; in mfmanin()
12358 p = normal(RgXV_embed(vpp,0,E), polabs, roabs, rnfeq, &wp, prec); in mfmanin()
12359 m = normal(RgXV_embed(vmm,0,E), polabs, roabs, rnfeq, &wm, prec); in mfmanin()
[all …]
H A Dbase5.c159 GEN W=gel(x,1), I=gel(x,2), rnfeq = rnf_get_map(rnf), polabs = gel(rnfeq,1); in modulereltoabs() local
179 GEN z = RgX_rem(gmul(w, gel(zknf,j)), polabs); in modulereltoabs()
187 z = RgX_rem(gmul(w, z), polabs); in modulereltoabs()
H A Dbuch4.c560 GEN S, gen, cyc, bnf, nf, nfabs, rnfeq, bnfabs, k, polabs; in rnfisnorminit() local
581 polabs = gel(rnfeq,1); in rnfisnorminit()
584 bnfabs = Buchall(polabs, nf_FORCE, nf_get_prec(nf)); in rnfisnorminit()
589 GEN P = polabs==R? leafcopy(R): nfX_eltup(nf, rnfeq, R); in rnfisnorminit()
/dports/math/pari/pari-2.13.3/src/test/in/
H A Drnf98 …/2,x+y,Mod(1,K.pol),Mod(1/2,K.pol),Mod(y,K.pol),Mod(1,L.polabs),Mod(1/2,L.polabs),Mod(x,L.polabs),…
114 vQ = [2,1/2,x+y, Mod(1/2,KQ.pol), y, Mod(Mod(x/2+1,KQ.pol),LQ.pol), Mod(x,LQ.pol), Mod(x,LQ.polabs)…
174 K=nfinit(y); L=rnfinit(K,x^3-2); rnfeltdown(L,Mod(Mod(1,K.pol),L.polabs))
H A Dmember39 polabs,
H A Dalgebras166 rnfprimedec(rnf,pp) = rnfprimedec2(rnf,pp,nfinit(rnf.polabs));
174 nf2 = nfinit(rnf.polabs);
1041 polabs = al[1][12][1].pol;
1043 print(al[3][3]*algmul(al, al[3][2][,1], algpow(al,al[3][1],i)) == [Mod(x^i,polabs),0]~);\
1044 print(al[3][3]*algmul(al, al[3][2][,2], algpow(al,al[3][1],i)) == [0,Mod(x,polabs)^i]~)\
/dports/math/cmh/cmh-1.1.0/scripts/
H A Dshimura.gp235 K = bnfinit (Krel.polabs, 1); /* K = bnfinit (y^4 + A*y^2 + B, 1); */
284 Kr = bnfinit (Krrel.polabs);
290 /* forces Lrel.polabs == Lrrel.polabs, so we can move consistently up and down */
291 if (Lrel.polabs == Lrrel.polabs,
295 sigm = nfisisom (Lrrel.polabs, Lrel.polabs)[1];
562 b = lift (subst (br, x, Mod (sigm, Lrel.polabs)));
/dports/math/pari/pari-2.13.3/src/functions/number_fields/
H A Dnfgaloisconj34 my(polabs, N,al,S, ala,k, vR);
38 [polabs,ala,k] = rnfequation(nfK, R, 1);
40 N = nfgaloisconj(polabs) % Rt; \\ Q-automorphisms of L
H A Dnfinit101 attached to the absolute defining polynomial \kbd{polabs} is returned (\fl is
H A Drnfinit68 as \kbd{rnf.polabs}; $a$ expresses the generator $\alpha = y \mod \kbd{K.pol}$
H A Drnfeltabstorel17 ? L.polabs
19 ? rnfeltabstorel(L, Mod(x, L.polabs))
H A Drnfidealabstorel24 %4 = [17, x^2 + 4, x + 8, x^3 + 8*x^2] \\ Z-basis for m in Q[x]/(rnf.polabs)
30 argument. The entries of $x$ may be given either modulo \kbd{rnf.polabs}
/dports/math/pari/pari-2.13.3/src/test/32/
H A Dmember172 .polabs: x^4 - 1105
H A Dhelp84 polabs: defining polynomial over Q rnf
/dports/math/pari/pari-2.13.3/src/modules/
H A Dalgebras.c3841 GEN L, alpha, pol, salpha, s, sj, polabs, k, X, pol0, nf; in rnfcycaut() local
3848 polabs = rnf_get_polabs(rnf); in rnfcycaut()
3856 salpha = RgX_RgXQ_eval(alpha,s,polabs); in rnfcycaut()
4263 GEN subf, x, pol, polabs, basis, P, Pi, nf = alg_get_center(al), rnf, Lbasis, Lbasisinv, Q, pows; in computesplitting() local
4268 polabs = gel(subf, 2); in computesplitting()
4276 pol = nffactor(nf,polabs); in computesplitting()
4294 gcoeff(Q,i,j+j2) = mkpolmod(gel(pows,j2+1),polabs); in computesplitting()
/dports/math/pari/pari-2.13.3/
H A DCOMPAT398 - rnf.pol (absolute defining polynomial / Q) is now called rnf.polabs,
H A DCHANGES-2.6208 33- rnf.pol (absolute defining polynomial / Q) is now called rnf.polabs,
H A DCHANGES-2.8505 85- nfinit(rnf) now returns an nf structure associated to rnf.polabs
/dports/math/gp2c/gp2c-0.0.12/desc/
H A Dfunc213.dsc2583 _.polabs
H A Dfunc211.dsc2569 _.polabs
H A Dfunc29.dsc2552 _.polabs
/dports/math/pari/pari-2.13.3/src/functions/member_functions/
H A Dpolabs1 Function: _.polabs
2 Help: _.polabs

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