Annotation of OpenXM_contrib/pari-2.2/src/test/in/compat, Revision 1.2
1.1 noro 1: \e
2: default(compatible,3)
3: +3
4: -5
5: 5+3
6: 5-3
7: 5/3
8: 5\3
9: 5\/3
10: 5%3
11: 5^3
12: \precision=57
13: pi
14: \precision=38
15: o(x^12)
16: padicno=(5/3)*127+O(127^5)
17: initrect(0,500,500)
18: \\ A
19: abs(-0.01)
20: acos(0.5)
21: acosh(3)
22: acurve=initell([0,0,1,-1,0])
23: apoint=[2,2]
24: isoncurve(acurve,apoint)
25: addell(acurve,apoint,apoint)
26: addprimes([nextprime(10^9),nextprime(10^10)])
27: adj([1,2;3,4])
28: agm(1,2)
29: agm(1+o(7^5),8+o(7^5))
30: algdep(2*cos(2*pi/13),6)
31: algdep2(2*cos(2*pi/13),6,15)
32: \\allocatemem(3000000)
33: akell(acurve,1000000007)
34: nfpol=x^5-5*x^3+5*x+25
35: nf=initalg(nfpol)
36: ba=algtobasis(nf,mod(x^3+5,nfpol))
37: anell(acurve,100)
38: apell(acurve,10007)
39: apell2(acurve,10007)
40: apol=x^3+5*x+1
41: apprpadic(apol,1+O(7^8))
42: apprpadic(x^3+5*x+1,mod(x*(1+O(7^8)),x^2+x-1))
43: 4*arg(3+3*i)
44: 3*asin(sqrt(3)/2)
45: asinh(0.5)
46: assmat(x^5-12*x^3+0.0005)
47: 3*atan(sqrt(3))
48: atanh(0.5)
49: \\ B
50: basis(x^3+4*x+5)
51: basis2(x^3+4*x+5)
52: basistoalg(nf,ba)
53: bernreal(12)
54: bernvec(6)
55: bestappr(pi,10000)
56: bezout(123456789,987654321)
57: bigomega(12345678987654321)
58: mcurve=initell([0,0,0,-17,0])
59: mpoints=[[-1,4],[-4,2]]~
60: mhbi=bilhell(mcurve,mpoints,[9,24])
61: bin(1.1,5)
62: binary(65537)
63: bittest(10^100,100)
64: boundcf(pi,5)
65: boundfact(40!+1,100000)
66: move(0,0,0);box(0,500,500)
67: setrand(1);buchimag(1-10^7,1,1)
68: setrand(1);bnf=buchinitfu(x^2-x-57,0.2,0.2)
69: buchcertify(bnf)
70: buchfu(bnf)
71: setrand(1);buchinitforcefu(x^2-x-100000)
72: setrand(1);bnf=buchinitfu(x^2-x-57,0.2,0.2)
73: setrand(1);buchreal(10^9-3,0,0.5,0.5)
74: setrand(1);buchgen(x^4-7,0.2,0.2)
75: setrand(1);buchgenfu(x^2-x-100000)
76: setrand(1);buchgenforcefu(x^2-x-100000)
77: setrand(1);buchgenfu(x^4+24*x^2+585*x+1791,0.1,0.1)
78: buchnarrow(bnf)
1.2 ! noro 79: buchray(bnf,[[5,4;0,1],[1,0]])
! 80: bnr=buchrayinitgen(bnf,[[5,4;0,1],[1,0]])
! 81: bnr2=buchrayinitgen(bnf,[[25,14;0,1],[1,1]])
1.1 noro 82: bytesize(%)
83: \\ C
84: ceil(-2.5)
85: centerlift(mod(456,555))
86: cf(pi)
87: cf2([1,3,5,7,9],(exp(1)-1)/(exp(1)+1))
88: changevar(x+y,[z,t])
89: char([1,2;3,4],z)
90: char(mod(x^2+x+1,x^3+5*x+1),z)
91: char1([1,2;3,4],z)
92: char2(mod(1,8191)*[1,2;3,4],z)
93: acurve=chell(acurve,[-1,1,2,3])
94: chinese(mod(7,15),mod(13,21))
95: apoint=chptell(apoint,[-1,1,2,3])
96: isoncurve(acurve,apoint)
97: classno(-12391)
98: classno(1345)
99: classno2(-12391)
100: classno2(1345)
101: coeff(sin(x),7)
102: compimag(qfi(2,1,3),qfi(2,1,3))
103: compo(1+o(7^4),3)
104: compositum(x^4-4*x+2,x^3-x-1)
105: compositum2(x^4-4*x+2,x^3-x-1)
106: comprealraw(qfr(5,3,-1,0.),qfr(7,1,-1,0.))
107: concat([1,2],[3,4])
1.2 ! noro 108: conductor(bnf,[[25,14;0,1],[1,1]])
1.1 noro 109: conductorofchar(bnr,[2])
110: conj(1+i)
111: conjvec(mod(x^2+x+1,x^3-x-1))
112: content([123,456,789,234])
113: convol(sin(x),x*cos(x))
114: core(54713282649239)
115: core2(54713282649239)
116: coredisc(54713282649239)
117: coredisc2(54713282649239)
118: cos(1)
119: cosh(1)
120: move(0,200,150)
121: cursor(0)
122: cvtoi(1.7)
123: cyclo(105)
124: \\ D
125: degree(x^3/(x-1))
126: denom(12345/54321)
127: deplin(mod(1,7)*[2,-1;1,3])
128: deriv((x+y)^5,y)
129: ((x+y)^5)'
130: det([1,2,3;1,5,6;9,8,7])
131: det2([1,2,3;1,5,6;9,8,7])
132: detint([1,2,3;4,5,6])
133: diagonal([2,4,6])
134: dilog(0.5)
135: dz=vector(30,k,1);dd=vector(30,k,k==1);dm=dirdiv(dd,dz)
136: deu=direuler(p=2,100,1/(1-apell(acurve,p)*x+if(acurve[12]%p,p,0)*x^2))
137: anell(acurve,100)==deu
138: dirmul(abs(dm),dz)
139: dirzetak(initalg(x^3-10*x+8),30)
140: disc(x^3+4*x+12)
141: discf(x^3+4*x+12)
142: discrayabs(bnr,mat(6))
143: discrayabs(bnr)
144: discrayabscond(bnr2)
145: lu=ideallistunitgen(bnf,55);discrayabslist(bnf,lu)
146: discrayabslistlong(bnf,20)
147: discrayrel(bnr,mat(6))
148: discrayrel(bnr)
149: discrayrelcond(bnr2)
150: divisors(8!)
151: divres(345,123)
152: divres(x^7-1,x^5+1)
153: divsum(8!,x,x)
154: \\draw([0,0,0])
155: postdraw([0,0,0])
156: \\ E
157: eigen([1,2,3;4,5,6;7,8,9])
158: eint1(2)
159: erfc(2)
160: eta(q)
161: euler
162: z=y;y=x;eval(z)
163: exp(1)
164: extract([1,2,3,4,5,6,7,8,9,10],1000)
165: \\ F
166: 10!
167: fact(10)
168: factcantor(x^11+1,7)
169: centerlift(lift(factfq(x^3+x^2+x-1,3,t^3+t^2+t-1)))
170: factmod(x^11+1,7)
171: factor(17!+1)
172: p=x^5+3021*x^4-786303*x^3-6826636057*x^2-546603588746*x+3853890514072057
173: fa=[11699,6;2392997,2;4987333019653,2]
174: factoredbasis(p,fa)
175: factoreddiscf(p,fa)
176: factoredpolred(p,fa)
177: factoredpolred2(p,fa)
178: factornf(x^3+x^2-2*x-1,t^3+t^2-2*t-1)
179: factorpadic(apol,7,8)
180: factorpadic2(apol,7,8)
181: factpol(x^15-1,3,1)
182: factpol(x^15-1,0,1)
183: factpol2(x^15-1,0)
184: fibo(100)
185: floor(-1/2)
186: floor(-2.5)
187: for(x=1,5,print(x!))
188: fordiv(10,x,print(x))
189: forprime(p=1,30,print(p))
190: forstep(x=0,pi,pi/12,print(sin(x)))
191: forvec(x=[[1,3],[-2,2]],print1([x[1],x[2]]," "));print(" ");
192: frac(-2.7)
193: \\ G
194: galois(x^6-3*x^2-1)
195: nf3=initalg(x^6+108);galoisconj(nf3)
196: aut=%[2];galoisapply(nf3,aut,mod(x^5,x^6+108))
197: gamh(10)
198: gamma(10.5)
199: gauss(hilbert(10),[1,2,3,4,5,6,7,8,9,0]~)
200: gaussmodulo([2,3;5,4],[7,11],[1,4]~)
201: gaussmodulo2([2,3;5,4],[7,11],[1,4]~)
202: gcd(12345678,87654321)
203: getheap()
204: getrand()
205: getstack()
206: \\gettime()isattheend
207: globalred(acurve)
208: getstack()
209: \\ H
210: hclassno(2000003)
211: hell(acurve,apoint)
212: hell2(acurve,apoint)
213: hermite(amat=1/hilbert(7))
214: hermite2(amat)
215: hermitehavas(amat)
216: hermitemod(amat,detint(amat))
217: hermiteperm(amat)
218: hess(hilbert(7))
219: hilb(2/3,3/4,5)
220: hilbert(5)
221: hilbp(mod(5,7),mod(6,7))
222: hvector(10,x,1/x)
223: hyperu(1,1,1)
224: \\ I
225: i^2
226: nf1=initalgred(nfpol)
227: initalgred2(nfpol)
228: vp=primedec(nf,3)[1]
229: idx=idealmul(nf,idmat(5),vp)
230: idealinv(nf,idx)
231: idy=ideallllred(nf,idx,[1,5,6])
232: idealadd(nf,idx,idy)
233: idealaddone(nf,idx,idy)
234: idealaddmultone(nf,[idy,idx])
235: idealappr(nf,idy)
236: idealapprfact(nf,idealfactor(nf,idy))
237: idealcoprime(nf,idx,idx)
238: idz=idealintersect(nf,idx,idy)
239: idealfactor(nf,idz)
240: ideallist(bnf,20)
241: idx2=idealmul(nf,idx,idx)
242: idt=idealmulred(nf,idx,idx)
243: idealdiv(nf,idy,idt)
244: idealdivexact(nf,idx2,idx)
245: idealhermite(nf,vp)
246: idealhermite2(nf,vp[2],3)
247: idealnorm(nf,idt)
248: idp=idealpow(nf,idx,7)
249: idealpowred(nf,idx,7)
250: idealtwoelt(nf,idy)
251: idealtwoelt2(nf,idy,10)
252: idealval(nf,idp,vp)
253: idmat(5)
254: if(3<2,print("bof"),print("ok"));
255: imag(2+3*i)
256: image([1,3,5;2,4,6;3,5,7])
257: image(pi*[1,3,5;2,4,6;3,5,7])
258: incgam(2,1)
259: incgam1(2,1)
260: incgam2(2,1)
261: incgam3(2,1)
262: incgam4(4,1,6)
263: indexrank([1,1,1;1,1,1;1,1,2])
264: indsort([8,7,6,5])
265: initell([0,0,0,-1,0])
266: initrect(1,700,700)
267: nfz=initzeta(x^2-2);
268: integ(sin(x),x)
269: integ((-x^2-2*a*x+8*a)/(x^4-14*x^3+(2*a+49)*x^2-14*a*x+a^2),x)
270: intersect([1,2;3,4;5,6],[2,3;7,8;8,9])
271: \precision=19
272: intgen(x=0,pi,sin(x))
273: sqr(2*intgen(x=0,4,exp(-x^2)))
274: 4*intinf(x=1,10^20,1/(1+x^2))
275: intnum(x=-0.5,0.5,1/sqrt(1-x^2))
276: 2*intopen(x=0,100,sin(x)/x)
277: \precision=38
278: inverseimage([1,1;2,3;5,7],[2,2,6]~)
279: isdiagonal([1,0,0;0,5,0;0,0,0])
280: isfund(12345)
1.2 ! noro 281: isideal(bnf[7],[5,2;0,1])
1.1 noro 282: isincl(x^2+1,x^4+1)
283: isinclfast(initalg(x^2+1),initalg(x^4+1))
284: isirreducible(x^5+3*x^3+5*x^2+15)
285: isisom(x^3+x^2-2*x-1,x^3+x^2-2*x-1)
286: isisomfast(initalg(x^3-2),initalg(x^3-6*x^2-6*x-30))
287: isprime(12345678901234567)
1.2 ! noro 288: isprincipal(bnf,[5,2;0,1])
! 289: isprincipalgen(bnf,[5,2;0,1])
1.1 noro 290: isprincipalraygen(bnr,primedec(bnf,7)[1])
291: ispsp(73!+1)
292: isqrt(10!^2+1)
293: isset([-3,5,7,7])
294: issqfree(123456789876543219)
295: issquare(12345678987654321)
296: isunit(bnf,mod(3405*x-27466,x^2-x-57))
297: \\ J
298: jacobi(hilbert(6))
299: jbesselh(1,1)
300: jell(i)
301: \\ K
302: kbessel(1+i,1)
303: kbessel2(1+i,1)
304: x
305: y
306: ker(matrix(4,4,x,y,x/y))
307: ker(matrix(4,4,x,y,sin(x+y)))
308: keri(matrix(4,4,x,y,x+y))
309: kerint(matrix(4,4,x,y,x*y))
310: kerint1(matrix(4,4,x,y,x*y))
311: kerint2(matrix(4,6,x,y,2520/(x+y)))
312: f(u)=u+1;
313: print(f(5));kill(f);
314: f=12
315: killrect(1)
316: kro(5,7)
317: kro(3,18)
318: \\ L
319: laplace(x*exp(x*y)/(exp(x)-1))
320: lcm(15,-21)
321: length(divisors(1000))
322: legendre(10)
323: lex([1,3],[1,3,5])
324: lexsort([[1,5],[2,4],[1,5,1],[1,4,2]])
325: lift(chinese(mod(7,15),mod(4,21)))
326: lindep([(1-3*sqrt(2))/(3-2*sqrt(3)),1,sqrt(2),sqrt(3),sqrt(6)])
327: lindep2([(1-3*sqrt(2))/(3-2*sqrt(3)),1,sqrt(2),sqrt(3),sqrt(6)],14)
328: move(0,0,900);line(0,900,0)
329: lines(0,vector(5,k,50*k),vector(5,k,10*k*k))
330: m=1/hilbert(7)
331: mp=concat(m,idmat(7))
332: lll(m)
333: lll1(m)
334: lllgram(m)
335: lllgram1(m)
336: lllgramint(m)
337: lllgramkerim(mp~*mp)
338: lllint(m)
339: lllintpartial(m)
340: lllkerim(mp)
341: lllrat(m)
342: \precision=96
343: ln(2)
344: lngamma(10^50*i)
345: \precision=2000
346: log(2)
347: logagm(2)
348: \precision=19
349: bcurve=initell([0,0,0,-3,0])
350: localred(bcurve,2)
351: ccurve=initell([0,0,-1,-1,0])
352: l=lseriesell(ccurve,2,-37,1)
353: lseriesell(ccurve,2,-37,1.2)-l
354: \\ M
355: sbnf=smallbuchinit(x^3-x^2-14*x-1)
356: makebigbnf(sbnf)
357: concat(mat(vector(4,x,x)~),vector(4,x,10+x)~)
358: matextract(matrix(15,15,x,y,x+y),vector(5,x,3*x),vector(3,y,3*y))
359: ma=mathell(mcurve,mpoints)
360: gauss(ma,mhbi)
361: (1.*hilbert(7))^(-1)
362: matsize([1,2;3,4;5,6])
363: matrix(5,5,x,y,gcd(x,y))
364: matrixqz([1,3;3,5;5,7],0)
365: matrixqz2([1/3,1/4,1/6;1/2,1/4,-1/4;1/3,1,0])
366: matrixqz3([1,3;3,5;5,7])
367: max(2,3)
368: min(2,3)
369: minim([2,1;1,2],4,6)
370: mod(-12,7)
371: modp(-12,7)
372: mod(10873,49649)^-1
373: modreverse(mod(x^2+1,x^3-x-1))
374: move(0,243,583);cursor(0)
375: mu(3*5*7*11*13)
376: \\ N
377: newtonpoly(x^4+3*x^3+27*x^2+9*x+81,3)
378: nextprime(100000000000000000000000)
379: setrand(1);a=matrix(3,5,j,k,vvector(5,l,random()\10^8))
380: aid=[idx,idy,idz,idmat(5),idx]
381: bb=algtobasis(nf,mod(x^3+x,nfpol))
382: da=nfdetint(nf,[a,aid])
383: nfdiv(nf,ba,bb)
384: nfdiveuc(nf,ba,bb)
385: nfdivres(nf,ba,bb)
386: nfhermite(nf,[a,aid])
387: nfhermitemod(nf,[a,aid],da)
388: nfmod(nf,ba,bb)
389: nfmul(nf,ba,bb)
390: nfpow(nf,bb,5)
391: nfreduce(nf,ba,idx)
392: setrand(1);as=matrix(3,3,j,k,vvector(5,l,random()\10^8))
393: vaid=[idx,idy,idmat(5)]
394: haid=[idmat(5),idmat(5),idmat(5)]
395: nfsmith(nf,[as,haid,vaid])
396: nfval(nf,ba,vp)
397: norm(1+i)
398: norm(mod(x+5,x^3+x+1))
399: norml2(vector(10,x,x))
400: nucomp(qfi(2,1,9),qfi(4,3,5),3)
401: form=qfi(2,1,9);nucomp(form,form,3)
402: numdiv(2^99*3^49)
403: numer((x+1)/(x-1))
404: nupow(form,111)
405: \\ O
406: 1/(1+x)+o(x^20)
407: omega(100!)
408: ordell(acurve,1)
409: order(mod(33,2^16+1))
410: tcurve=initell([1,0,1,-19,26]);
411: orderell(tcurve,[1,2])
412: ordred(x^3-12*x+45*x-1)
413: \\ P
414: padicprec(padicno,127)
415: pascal(8)
416: perf([2,0,1;0,2,1;1,1,2])
417: permutation(7,1035)
418: permutation2num([4,7,1,6,3,5,2])
419: pf(-44,3)
420: phi(257^2)
421: pi
422: plot(x=-5,5,sin(x))
423: \\ploth(x=-5,5,sin(x))
424: \\ploth2(t=0,2*pi,[sin(5*t),sin(7*t)])
425: \\plothraw(vector(100,k,k),vector(100,k,k*k/100))
426: pnqn([2,6,10,14,18,22,26])
427: pnqn([1,1,1,1,1,1,1,1;1,1,1,1,1,1,1,1])
428: point(0,225,334)
429: points(0,vector(10,k,10*k),vector(10,k,5*k*k))
430: pointell(acurve,zell(acurve,apoint))
431: polint([0,2,3],[0,4,9],5)
432: polred(x^5-2*x^4-4*x^3-96*x^2-352*x-568)
433: polred2(x^4-28*x^3-458*x^2+9156*x-25321)
434: polredabs(x^5-2*x^4-4*x^3-96*x^2-352*x-568)
435: polredabs2(x^5-2*x^4-4*x^3-96*x^2-352*x-568)
436: polsym(x^17-1,17)
437: polvar(name^4-other)
438: poly(sin(x),x)
439: polylog(5,0.5)
440: polylog(-4,t)
441: polylogd(5,0.5)
442: polylogdold(5,0.5)
443: polylogp(5,0.5)
444: poly([1,2,3,4,5],x)
445: polyrev([1,2,3,4,5],x)
446: polzag(6,3)
447: \\draw([0,20,20])
448: postdraw([0,20,20])
449: postploth(x=-5,5,sin(x))
450: postploth2(t=0,2*pi,[sin(5*t),sin(7*t)])
451: postplothraw(vector(100,k,k),vector(100,k,k*k/100))
452: powell(acurve,apoint,10)
453: cmcurve=initell([0,-3/4,0,-2,-1])
454: powell(cmcurve,[x,y],quadgen(-7))
455: powrealraw(qfr(5,3,-1,0.),3)
456: pprint((x-12*y)/(y+13*x));
457: pprint([1,2;3,4])
458: pprint1(x+y);pprint(x+y);
459: \precision=96
460: pi
461: prec(pi,20)
462: precision(cmcurve)
463: \precision=38
464: prime(100)
465: primedec(nf,2)
466: primedec(nf,3)
467: primedec(nf,11)
468: primes(100)
469: forprime(p=2,100,print(p," ",lift(primroot(p))))
470: principalideal(nf,mod(x^3+5,nfpol))
471: principalidele(nf,mod(x^3+5,nfpol))
472: print((x-12*y)/(y+13*x));
473: print([1,2;3,4])
474: print1(x+y);print1(" equals ");print(x+y);
475: prod(1,k=1,10,1+1/k!)
476: prod(1.,k=1,10,1+1/k!)
477: pi^2/6*prodeuler(p=2,10000,1-p^-2)
478: prodinf(n=0,(1+2^-n)/(1+2^(-n+1)))
479: prodinf1(n=0,-2^-n/(1+2^(-n+1)))
480: psi(1)
481: \\ Q
482: quaddisc(-252)
483: quadgen(-11)
484: quadpoly(-11)
485: \\ R
486: rank(matrix(5,5,x,y,x+y))
1.2 ! noro 487: rayclassno(bnf,[[5,4;0,1],[1,0]])
1.1 noro 488: rayclassnolist(bnf,lu)
489: move(0,50,50);rbox(0,50,50)
490: print1("give a value for s? ");s=read();print(1/s)
491: 37.
492: real(5-7*i)
493: recip(3*x^7-5*x^3+6*x-9)
494: redimag(qfi(3,10,12))
495: redreal(qfr(3,10,-20,1.5))
496: redrealnod(qfr(3,10,-20,1.5),18)
497: reduceddisc(x^3+4*x+12)
498: regula(17)
499: kill(y);print(x+y);reorder([x,y]);print(x+y);
500: resultant(x^3-1,x^3+1)
501: resultant2(x^3-1.,x^3+1.)
502: reverse(tan(x))
503: rhoreal(qfr(3,10,-20,1.5))
504: rhorealnod(qfr(3,10,-20,1.5),18)
505: rline(0,200,150)
506: cursor(0)
507: rmove(0,5,5);cursor(0)
508: rndtoi(prod(1,k=1,17,x-exp(2*i*pi*k/17)))
509: qpol=y^3-y-1;setrand(1);bnf2=buchinit(qpol);nf2=bnf2[7];
510: un=mod(1,qpol);w=mod(y,qpol);p=un*(x^5-5*x+w)
511: aa=rnfpseudobasis(nf2,p)
512: rnfbasis(bnf2,aa)
513: rnfdiscf(nf2,p)
514: rnfequation(nf2,p)
515: rnfequation2(nf2,p)
516: rnfhermitebasis(bnf2,aa)
517: rnfisfree(bnf2,aa)
518: rnfsteinitz(nf2,aa)
519: rootmod(x^16-1,41)
520: rootpadic(x^4+1,41,6)
521: roots(x^5-5*x^2-5*x-5)
522: rootsold(x^4-1000000000000000000000)
523: round(prod(1,k=1,17,x-exp(2*i*pi*k/17)))
524: rounderror(prod(1,k=1,17,x-exp(2*i*pi*k/17)))
525: rpoint(0,20,20)
526: \\ S
527: initrect(3,600,600);scale(3,-7,7,-2,2);cursor(3)
528: q*series(anell(acurve,100),q)
529: aset=set([5,-2,7,3,5,1])
530: bset=set([7,5,-5,7,2])
531: setintersect(aset,bset)
532: setminus(aset,bset)
533: setprecision(28)
534: setrand(10)
535: setsearch(aset,3)
536: setsearch(bset,3)
537: setserieslength(12)
538: setunion(aset,bset)
539: arat=(x^3+x+1)/x^3;settype(arat,14)
540: shift(1,50)
541: shift([3,4,-11,-12],-2)
542: shiftmul([3,4,-11,-12],-2)
543: sigma(100)
544: sigmak(2,100)
545: sigmak(-3,100)
546: sign(-1)
547: sign(0)
548: sign(0.)
549: signat(hilbert(5)-0.11*idmat(5))
550: signunit(bnf)
551: simplefactmod(x^11+1,7)
552: simplify(((x+i+1)^2-x^2-2*x*(i+1))^2)
553: sin(pi/6)
554: sinh(1)
555: size([1.3*10^5,2*i*pi*exp(4*pi)])
556: smallbasis(x^3+4*x+12)
557: smalldiscf(x^3+4*x+12)
558: smallfact(100!+1)
559: smallinitell([0,0,0,-17,0])
560: smallpolred(x^4+576)
561: smallpolred2(x^4+576)
562: smith(matrix(5,5,j,k,random()))
563: smith(1/hilbert(6))
564: smithpol(x*idmat(5)-matrix(5,5,j,k,1))
565: solve(x=1,4,sin(x))
566: sort(vector(17,x,5*x%17))
567: sqr(1+o(2))
568: sqred(hilbert(5))
569: sqrt(13+o(127^12))
570: srgcd(x^10-1,x^15-1)
571: move(0,100,100);string(0,pi)
572: move(0,200,200);string(0,"(0,0)")
573: \\draw([0,10,10])
574: postdraw([0,10,10])
575: apol=0.3+legendre(10)
576: sturm(apol)
577: sturmpart(apol,0.91,1)
578: subcyclo(31,5)
579: subell(initell([0,0,0,-17,0]),[-1,4],[-4,2])
580: subst(sin(x),x,y)
581: subst(sin(x),x,x+x^2)
582: sum(0,k=1,10,2^-k)
583: sum(0.,k=1,10,2^-k)
584: sylvestermatrix(a2*x^2+a1*x+a0,b1*x+b0)
585: \precision=38
586: 4*sumalt(n=0,(-1)^n/(2*n+1))
587: 4*sumalt2(n=0,(-1)^n/(2*n+1))
588: suminf(n=1,2.^-n)
589: 6/pi^2*sumpos(n=1,n^-2)
590: supplement([1,3;2,4;3,6])
591: \\ T
592: sqr(tan(pi/3))
593: tanh(1)
594: taniyama(bcurve)
595: taylor(y/(x-y),y)
596: tchebi(10)
597: teich(7+o(127^12))
598: texprint((x+y)^3/(x-y)^2)
599: theta(0.5,3)
600: thetanullk(0.5,7)
601: torsell(tcurve)
602: trace(1+i)
603: trace(mod(x+5,x^3+x+1))
604: trans(vector(2,x,x))
605: %*%~
606: trunc(-2.7)
607: trunc(sin(x^2))
608: tschirnhaus(x^5-x-1)
609: type(mod(x,x^2+1))
610: \\ U
611: unit(17)
612: n=33;until(n==1,print1(n," ");if(n%2,n=3*n+1,n=n/2));print(1)
613: \\ V
614: valuation(6^10000-1,5)
615: vec(sin(x))
616: vecmax([-3,7,-2,11])
617: vecmin([-3,7,-2,11])
618: vecsort([[1,8,5],[2,5,8],[3,6,-6],[4,8,6]],2)
619: vecsort([[1,8,5],[2,5,8],[3,6,-6],[4,8,6]],[2,1])
620: \\ W
621: weipell(acurve)
622: wf(i)
623: wf2(i)
624: m=5;while(m<20,print1(m," ");m=m+1);print()
625: \\ Z
626: zell(acurve,apoint)
627: zeta(3)
628: zeta(0.5+14.1347251*i)
629: zetak(nfz,-3)
630: zetak(nfz,1.5+3*i)
631: zidealstar(nf2,54)
632: bid=zidealstarinit(nf2,54)
633: zideallog(nf2,w,bid)
634: znstar(3120)
635: getstack()
636: getheap()
637: print("Total time spent: ",gettime());
638: \q
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